{"text_format":"3","workbook":"xlsx","n_sheets":21,"sheets":["Figure_1C","Figure_1D_layer_1","Figure_1D_layer_2","Figure_1D_layer_3","Figure_1D_layer_4","Figure_1D_layer_5","Figure_1D_layer_6","Figure_1D_layer_7","Figure_1D_layer_8","Figure_1D_layer_9","Figure_1D_layer_10","Figure_1D_layer_11","Figure_1D_layer_12","Figure_1D_layer_13","Figure_1D_layer_14","Figure_1D_layer_15","Figure_1D_layer_16","Figure_1D_layer_17","Figure_1D_layer_18","Figure_1D_layer_19","Figure_1D_layer_20"],"read":"whole","date_system":"1900"}

{"sheet":"Figure_1C","index":0,"n_rows":600,"n_cols":600,"rows_kept":139,"cut":true,"bounds":{"rows_first":62,"rows_last":15,"rows_between":62,"halvings":5}}
[2,0,0,2,0,2,2,2,3,2,0,2,2,3,3,0,3,3,2,0,3,3,2,3,1,0,1,3,3,3,3,0,2,2,3,0,1,3,0,3,0,3,0,1,0,0,1,1,1,0,2,3,1,2,3,2,1,0,2,1,0,1,1,2,1,2,1,1,1,0,2,2,3,2,3,2,0,3,3,2,3,1,2,3,0,0,1,3,2,0,2,3,3,3,0,1,3,2,0,2,0,1,3,2,2,1,1,0,3,0,1,0,1,1,3,3,2,1,1,1,3,0,2,1,3,1,2,1,3,2,2,1,1,1,2,1,3,3,1,1,1,2,2,0,3,2,2,3,3,1,2,2,2,2,2,0,1,0,2,2,1,1,1,1,3,0,3,1,0,0,3,1,3,0,3,0,2,2,0,2,1,1,0,1,2,1,3,1,0,2,2,0,3,0,1,0,2,2,0,2,1,2,2,1,3,1,2,1,0,0,3,3,3,1,3,2,3,3,1,1,0,0,0,3,0,1,1,0,1,2,3,3,0,1,0,0,1,0,3,1,1,3,0,1,2,2,1,1,3,3,0,0,3,1,2,2,3,1,0,3,3,2,1,0,2,0,3,0,3,0,2,1,3,1,1,0,1,2,0,0,1,3,1,1,2,2,3,0,2,3,3,0,1,2,1,1,0,1,1,1,3,0,1,1,2,3,1,1,2,2,3,0,0,2,0,3,0,1,1,2,0,3,3,2,1,0,0,0,3,2,2,2,2,1,1,1,1,2,3,0,0,0,3,0,1,1,2,0,2,1,3,2,2,1,3,3,3,0,0,0,1,1,0,1,2,2,2,1,0,1,0,1,2,1,0,1,0,2,1,0,2,1,1,0,2,0,2,2,0,0,2,3,0,0,3,3,3,2,1,2,2,2,2,0,3,1,1,0,1,0,3,1,2,1,0,1,2,2,3,1,0,3,1,1,1,1,1,2,3,2,2,1,3,1,0,2,3,0,3,1,3,3,3,1,1,0,3,1,2,0,1,1,1,1,1,1,1,3,2,1,0,3,3,3,3,2,1,2,2,0,1,2,2,2,0,3,1,1,2,1,3,3,3,2,1,0,0,0,2,3,1,3,2,3,0,2,1,2,0,0,3,2,3,2,0,1,0,2,0,3,3,0,2,1,2,0,0,0,3,2,0,2,3,1,1,2,3,3,2,1,0,1,2,0,2,1,2,1,1,0,0,2,3,1,2,2,0,0,1,0,1,2,1,2,3,0,2,1,1,2,1,1,3,0,1,1,3,3,3,2,1,0,0,1,0,2,3,1,3,1,0,0,0,1,0,0,2,1,0,2,3,2,1,1,0,0,0,0,0,0]
[1,2,3,0,1,2,0,1,2,1,2,3,3,3,2,3,1,0,1,2,3,2,1,3,0,3,2,3,1,0,2,1,3,0,1,2,0,1,0,1,1,1,3,0,0,2,3,1,3,3,3,3,1,1,2,0,0,2,2,2,2,1,0,0,0,3,1,2,0,1,0,3,2,1,0,0,0,0,2,2,3,3,1,0,2,2,0,1,0,0,0,2,1,2,3,2,1,2,0,3,2,3,1,3,3,0,0,1,3,1,28,2,1,3,1,3,1,2,3,1,1,3,2,3,3,1,3,1,0,1,3,1,3,2,1,3,1,1,0,1,1,0,3,2,0,1,2,1,0,3,3,2,1,0,1,0,0,1,0,2,1,0,1,0,0,1,1,2,1,0,1,1,0,0,1,2,3,1,1,3,3,0,1,0,0,1,1,3,1,1,0,2,3,0,1,1,3,1,0,0,2,0,2,2,1,1,0,0,0,2,3,1,3,3,3,3,3,1,3,1,2,2,3,2,1,3,1,2,2,0,0,1,1,3,0,3,3,0,3,3,1,1,3,1,1,0,1,2,1,2,1,0,2,0,1,3,0,0,0,2,0,0,0,2,3,3,0,2,2,1,0,0,0,2,1,2,2,3,3,2,1,3,0,1,0,1,0,2,2,3,1,0,2,2,1,3,0,2,1,2,3,2,2,0,0,0,3,2,1,0,3,1,0,0,2,2,0,0,2,2,2,2,2,1,2,2,3,3,1,3,1,0,0,3,0,3,3,3,3,0,0,1,2,0,1,0,2,2,1,1,3,2,0,2,2,1,2,3,2,2,0,2,1,2,3,2,1,2,2,0,3,2,1,2,1,0,2,0,1,1,1,1,3,3,2,2,3,0,1,0,3,0,1,2,2,0,0,1,0,2,3,0,1,0,2,3,1,3,0,0,0,2,2,1,2,2,2,0,3,3,1,2,1,2,2,1,3,3,0,3,1,3,2,0,3,3,1,1,0,0,3,1,0,1,0,1,1,0,2,0,1,3,2,1,0,3,0,1,2,1,3,3,0,2,1,2,3,0,0,1,1,3,1,0,2,3,1,1,3,0,2,2,0,1,1,3,2,3,1,1,1,3,1,1,3,3,2,0,2,2,2,1,1,3,0,0,2,3,2,3,2,0,1,2,3,0,0,2,3,3,1,2,0,1,3,0,3,2,1,0,1,2,3,0,2,1,0,2,0,2,3,1,1,3,1,3,2,1,1,1,3,2,3,0,3,3,0,1,2,3,2,3,3,1,3,3,0,3,0,1,1,1,1,2,0,0,3,2,2,3,1,3,2,0,0,1,2,1,3,1,0,3,0,0,1,3,1,3,3,3]
[3,2,0,3,1,2,2,0,0,2,3,0,3,2,1,3,3,2,0,1,2,2,3,2,1,1,0,0,3,3,1,1,0,3,2,3,1,1,3,1,2,1,2,3,0,0,3,3,2,2,0,2,1,1,0,2,0,2,2,2,2,2,2,1,2,3,1,1,0,2,1,3,1,3,1,0,0,1,2,1,1,1,1,3,0,1,1,2,3,3,2,3,3,0,0,3,2,0,2,3,3,0,0,0,3,0,0,2,0,3,3,2,1,3,2,0,3,3,3,0,0,0,2,1,0,0,2,3,3,2,1,3,1,2,1,1,3,2,3,3,2,3,2,1,0,2,3,3,2,28,0,1,2,2,3,1,0,3,3,3,1,0,3,2,1,0,3,1,3,2,1,1,3,2,2,0,2,1,2,1,3,3,1,1,2,3,0,1,2,1,1,1,3,0,2,0,2,0,2,3,0,2,0,0,3,3,3,1,3,1,1,3,2,3,0,1,1,2,3,2,0,0,1,3,0,2,2,0,0,1,3,3,1,2,2,0,1,2,3,1,3,2,3,2,1,1,3,3,0,1,3,0,1,3,0,2,0,2,0,3,0,1,2,1,3,3,2,2,0,2,3,1,0,2,3,0,2,1,1,3,0,2,2,0,1,3,3,2,1,2,3,3,3,3,1,1,0,1,0,1,2,3,2,1,1,1,0,1,2,3,0,2,1,2,2,3,1,1,1,1,1,0,1,2,1,3,3,0,3,1,2,1,2,2,0,0,2,3,3,1,2,3,3,1,0,1,1,1,3,2,1,3,2,3,1,3,3,2,3,3,0,0,2,2,1,0,1,0,3,2,1,1,0,3,1,3,0,1,2,3,2,1,0,2,3,1,3,3,3,0,3,3,2,3,0,3,2,0,0,3,0,1,0,2,1,1,1,0,1,1,0,0,1,2,0,2,1,2,3,1,3,0,3,2,2,3,1,0,3,1,1,2,1,1,2,3,3,1,3,1,0,1,2,2,1,0,1,0,2,2,0,0,0,2,0,0,3,0,3,1,0,2,1,2,0,0,0,3,3,2,0,0,0,1,1,1,1,0,0,3,2,1,0,2,0,3,0,0,1,3,3,1,1,0,3,0,3,3,0,0,0,0,3,0,2,2,0,1,2,3,1,3,3,2,3,3,2,0,2,3,1,0,0,1,0,0,2,2,3,1,1,3,3,2,2,0,1,1,3,0,2,2,0,1,2,3,3,1,2,1,1,3,3,1,3,3,1,3,1,3,3,0,3,3,1,2,2,2,3,0,2,0,2,1,0,2,3,3,0,1,1,3,3,3,1,1,3,3,1,3,1,1,0,2,0,0,0,1,0,1]
[3,0,0,3,2,3,0,0,2,0,1,2,2,0,3,3,2,1,1,2,1,0,0,0,3,0,3,1,2,1,2,3,0,0,1,3,2,3,0,0,0,2,1,2,2,3,3,2,0,3,0,3,3,3,2,0,0,3,3,3,2,0,3,1,3,1,1,2,1,0,1,3,3,0,0,1,3,2,2,2,0,1,1,3,1,0,3,2,2,1,2,2,1,1,2,1,2,2,3,3,0,2,0,2,0,3,0,3,2,2,2,3,3,3,0,2,2,2,3,0,3,2,0,1,3,1,1,0,3,3,3,3,0,2,0,0,1,0,3,0,2,2,2,2,3,3,3,0,0,0,2,0,1,1,3,3,0,2,3,1,0,0,0,3,1,1,2,3,3,2,1,1,0,1,1,0,1,0,3,0,1,3,3,3,0,2,3,3,2,1,1,2,1,0,3,3,0,1,0,0,2,3,2,0,2,0,2,3,3,2,1,3,3,2,1,1,1,1,2,3,0,2,3,3,0,2,0,0,3,0,1,1,0,3,2,3,0,1,28,0,2,2,3,2,3,1,3,2,0,3,2,0,2,3,3,1,1,3,2,0,2,2,3,2,0,1,3,1,0,1,0,2,1,2,3,2,3,2,1,3,3,1,0,0,3,0,0,2,2,3,0,3,2,2,3,3,0,0,1,1,1,0,1,2,3,2,2,2,0,2,0,1,2,3,0,0,3,0,1,1,2,2,3,3,0,2,0,2,2,1,2,3,3,2,3,2,1,0,3,0,0,2,2,0,1,0,3,3,3,3,3,0,0,1,1,0,3,1,1,1,1,3,0,2,1,0,0,1,1,0,1,0,2,0,0,3,0,2,0,0,3,1,2,0,2,0,1,2,2,3,1,2,0,0,0,3,1,1,0,0,1,3,1,0,1,0,1,2,0,1,3,3,1,3,2,0,3,0,1,2,0,1,3,0,2,1,0,0,0,1,1,3,2,2,1,1,3,3,3,2,2,1,0,3,3,1,0,0,0,0,2,1,0,0,2,3,2,1,2,3,0,0,0,1,0,3,0,1,0,1,3,3,2,2,2,1,1,2,2,1,3,3,0,1,2,1,2,0,3,0,1,3,1,1,1,2,3,2,2,1,2,2,0,1,1,0,3,0,3,2,1,1,2,2,3,0,2,1,0,0,1,2,0,1,1,1,1,3,1,2,1,3,3,1,3,3,1,2,0,0,1,1,3,3,1,3,1,1,3,1,2,3,1,0,3,1,1,1,1,2,0,0,1,0,1,3,3,0,3,3,1,2,0,1,0,1,0,1,2,2,0,0,1,0,0,2,3,0,0,3,1,0,1,2,0,2,3,3,2,3]
[3,0,3,0,1,2,3,1,3,3,1,2,0,3,2,3,3,3,1,3,3,0,0,2,3,0,1,0,1,0,2,1,1,1,1,3,0,0,1,0,1,1,1,0,2,0,1,2,2,1,2,2,0,1,3,0,1,1,2,2,3,0,3,2,0,0,3,2,1,3,1,3,2,2,2,3,1,3,1,0,2,1,1,3,3,1,0,2,1,2,1,1,2,3,3,0,1,2,2,2,0,3,2,1,0,0,2,3,3,3,3,1,0,1,1,0,1,1,0,2,3,0,3,0,0,0,2,0,3,1,2,2,3,2,2,0,0,2,2,2,1,2,2,3,2,2,1,2,3,0,0,0,0,3,1,1,3,3,2,1,0,2,2,2,3,1,2,2,2,0,1,2,3,3,2,2,3,2,0,2,2,1,1,2,0,0,2,0,1,1,1,0,0,1,2,0,0,3,2,2,3,2,0,2,1,3,1,3,2,2,3,3,2,2,1,3,3,2,0,2,1,0,3,0,2,2,3,2,0,1,1,2,0,0,1,2,0,0,0,3,2,0,0,3,0,1,2,1,1,0,3,0,3,3,1,0,2,0,2,3,2,1,3,0,1,1,0,0,3,0,0,3,3,0,2,2,3,1,3,1,1,3,0,0,0,0,1,0,1,2,3,2,0,2,0,2,1,1,1,3,0,3,1,2,0,3,3,2,3,0,2,1,0,0,1,2,1,2,0,2,0,2,3,3,1,0,2,2,0,3,1,2,0,1,0,3,3,1,1,3,0,1,0,3,0,1,2,2,1,3,2,1,3,0,1,3,1,1,1,1,2,0,0,1,3,3,1,3,0,3,2,2,28,1,2,1,2,1,0,2,0,0,0,3,2,2,0,0,2,3,1,0,2,2,2,3,2,1,1,1,2,2,2,3,3,1,2,1,3,1,0,2,2,3,0,0,2,1,2,2,3,2,3,1,2,3,1,2,3,2,0,1,3,2,2,0,3,3,1,3,0,3,2,2,2,1,2,0,1,2,2,0,0,1,1,1,2,0,0,3,1,3,1,1,3,1,0,0,3,2,3,3,3,2,0,0,0,3,2,1,0,1,3,3,2,3,1,1,2,0,0,2,3,0,3,0,2,2,1,2,0,3,2,1,1,0,3,1,2,3,3,2,0,1,2,2,1,0,3,3,2,1,3,3,2,1,2,1,3,1,3,0,3,0,0,0,0,2,3,3,2,3,3,1,2,1,0,0,3,2,2,1,1,1,3,2,1,3,0,3,3,2,1,2,3,3,1,1,3,2,3,1,0,1,3,0,2,1,1,2,1,0,2,0,2,1,3,0,1,0,1,1,2,3,0,2,3,1,0,2]
[0,0,3,1,0,3,3,3,0,2,0,1,2,0,2,0,3,1,1,2,3,1,3,1,1,2,0,0,0,2,0,3,1,2,0,2,1,0,0,0,0,3,3,0,3,3,3,0,0,2,1,3,0,2,0,0,2,3,3,2,2,3,2,3,1,3,1,3,1,3,2,1,1,1,1,2,0,1,1,2,1,2,3,2,3,2,1,1,3,2,2,3,0,0,2,3,3,2,2,3,1,2,3,3,3,3,1,1,3,0,1,2,2,0,1,3,0,3,1,0,2,0,2,0,2,0,0,0,3,2,2,2,0,2,2,2,2,0,0,1,0,2,0,0,0,2,2,3,0,1,3,2,2,0,3,2,3,1,1,2,3,2,3,1,2,2,1,1,0,1,3,3,2,2,1,1,3,1,1,3,0,1,1,3,3,2,1,3,3,0,3,0,2,1,2,1,0,3,1,2,2,0,2,3,1,1,0,1,2,0,3,3,0,0,1,3,2,1,1,0,3,2,2,0,1,1,28,2,3,0,0,2,3,1,0,2,0,2,3,0,2,1,2,1,0,0,1,1,1,2,0,2,0,2,3,1,2,1,2,3,0,2,2,0,3,0,3,3,1,3,3,0,3,0,1,1,2,1,1,0,0,0,3,1,0,0,2,0,1,3,0,1,2,2,0,0,1,2,1,2,1,2,2,0,1,0,2,2,2,3,1,1,0,2,0,0,2,1,0,2,0,0,1,0,0,0,0,0,1,1,3,3,3,3,3,2,0,3,1,1,0,1,2,0,2,2,0,0,3,0,0,3,3,3,3,1,0,3,1,2,0,2,1,1,2,0,2,0,1,0,0,0,1,3,1,2,3,0,0,2,3,0,1,1,3,2,1,0,0,1,0,3,0,0,3,0,3,1,2,3,0,1,3,1,0,1,3,1,3,3,3,0,3,2,3,1,2,1,0,2,2,1,1,0,0,3,2,2,2,3,2,1,2,2,0,0,1,1,1,1,3,2,2,1,2,1,1,1,2,0,0,3,0,1,2,2,2,1,2,0,1,0,1,1,0,3,3,3,2,2,2,0,0,2,0,3,0,1,1,0,3,0,0,1,3,0,2,0,3,0,0,3,3,0,1,3,2,0,1,2,1,1,1,2,3,0,2,0,0,2,2,0,2,2,0,1,2,2,1,0,2,1,3,1,1,0,1,3,3,2,2,1,2,0,0,0,2,3,1,2,0,1,2,1,2,3,3,3,3,0,2,0,2,3,3,0,3,0,0,1,1,3,2,1,1,1,3,3,1,2,1,2,1,2,1,1,1,2,3,0,3,1,3,2,0,0,2,1,2,3,2,2,3,1,2,2,2,3,2,0]
[3,1,2,2,2,0,2,0,3,3,2,0,3,0,1,0,3,1,3,1,1,0,1,3,2,1,1,1,1,1,2,2,1,2,3,1,2,2,1,1,2,3,3,3,2,3,1,0,3,2,3,2,3,0,3,0,3,1,0,2,1,0,2,2,2,2,1,1,1,1,3,1,0,0,0,3,1,0,2,1,0,3,3,1,0,3,2,3,2,1,0,0,0,1,2,1,0,2,3,1,0,0,0,3,1,3,3,3,0,0,2,0,0,3,2,3,2,2,3,3,3,3,3,3,0,2,0,0,3,0,1,3,3,1,2,2,0,0,1,3,2,3,0,3,2,1,3,1,1,2,0,1,0,0,3,3,2,3,3,1,1,0,0,1,1,0,2,3,2,2,0,1,3,1,2,0,2,3,1,0,1,3,3,2,1,3,2,1,1,1,3,1,0,2,0,0,0,0,1,3,1,3,1,3,0,2,1,0,2,3,3,1,1,1,1,3,2,3,3,0,3,1,1,2,0,1,3,2,2,2,3,2,3,2,0,1,1,3,2,3,2,2,1,3,3,2,0,0,3,0,1,3,1,3,2,2,3,2,2,0,3,2,0,2,1,3,2,2,3,1,0,2,3,2,1,0,0,0,1,2,2,2,3,2,0,2,3,0,2,3,2,2,1,2,0,0,0,1,2,0,2,1,1,3,0,0,3,0,2,2,0,3,3,2,0,0,1,3,0,0,0,3,3,2,1,3,3,2,1,1,3,0,2,0,3,0,3,1,2,0,2,2,0,3,0,3,2,3,2,2,0,2,2,1,3,2,0,3,3,0,1,2,1,2,3,1,3,2,0,1,2,0,1,1,3,3,1,2,2,2,2,0,2,0,0,3,0,3,2,2,2,0,0,2,0,3,3,1,2,1,3,0,0,3,2,1,3,1,3,1,0,2,0,2,2,1,1,2,1,0,3,2,3,3,0,2,2,2,1,2,0,0,0,2,2,3,2,1,0,1,3,3,3,2,3,0,1,3,2,2,2,0,1,1,0,2,0,2,0,1,1,3,0,0,2,0,3,0,1,0,1,0,1,1,0,3,2,2,3,3,28,1,2,1,1,1,2,2,3,1,0,2,3,1,0,3,1,2,2,2,2,3,2,3,0,1,0,3,1,2,0,0,0,3,1,3,3,3,1,1,1,2,1,2,2,0,2,2,3,1,1,1,0,2,2,1,2,0,3,0,0,1,3,2,0,2,1,0,0,1,1,0,3,1,1,1,1,3,2,3,2,0,3,1,3,0,2,1,0,1,3,1,0,3,1,0,1,0,2,3,3,2,2,1,3,1,0,0,1,1,1,1,3,0,1,2,1,3,2,3]
[3,0,0,3,3,0,2,2,3,3,0,3,3,1,0,3,2,3,1,3,2,3,2,0,0,1,1,2,3,3,1,0,3,0,1,1,2,0,0,1,3,3,0,0,1,0,0,2,1,1,1,3,1,2,0,1,2,3,0,1,3,1,2,3,2,0,2,1,1,1,0,1,2,0,2,2,2,1,3,3,0,1,0,3,0,0,3,3,0,0,3,0,1,0,0,0,2,0,3,1,3,0,1,1,3,3,0,3,1,2,0,0,0,2,3,3,0,3,3,2,3,28,1,2,2,2,1,0,3,1,0,1,2,1,3,1,0,1,0,1,1,3,3,0,3,3,2,2,2,1,3,0,0,3,3,2,2,0,2,3,2,0,2,2,1,2,3,3,1,3,0,1,2,3,2,0,1,3,3,1,0,0,2,1,0,0,2,0,1,1,2,2,3,3,2,3,2,3,1,3,1,2,3,0,0,0,2,1,0,1,3,3,0,0,0,2,1,3,2,2,0,3,2,2,3,0,1,3,0,3,1,2,0,0,3,0,2,0,0,3,3,0,2,0,2,2,2,3,0,3,2,1,3,1,2,1,1,0,0,0,1,2,3,1,2,3,2,1,0,3,0,2,0,0,3,0,1,1,2,3,3,2,1,2,1,3,0,1,3,0,1,2,2,2,0,1,2,1,0,2,2,3,3,2,3,2,1,3,1,3,3,2,1,1,3,1,3,3,1,1,3,2,3,3,0,2,0,1,2,3,0,1,0,1,2,0,1,0,1,2,0,1,3,3,1,3,0,2,0,0,3,3,0,2,0,1,2,3,0,0,1,0,1,1,1,1,2,1,1,1,0,2,2,0,1,3,0,0,0,3,0,0,3,3,0,2,3,2,1,1,0,1,2,2,1,0,0,2,1,0,3,2,0,2,1,0,0,0,0,0,0,2,2,0,0,1,0,1,3,0,3,2,0,1,2,1,0,3,1,0,1,1,3,1,0,2,3,0,2,2,0,1,3,3,2,1,0,2,2,0,0,3,1,1,3,2,2,0,2,2,0,3,3,1,0,1,3,2,1,3,2,1,1,3,3,1,0,3,0,2,3,3,1,0,3,3,1,1,1,2,2,1,3,2,1,2,2,3,3,2,3,1,0,1,3,2,1,1,0,3,1,0,2,1,0,0,0,0,3,2,28,0,0,2,3,28,1,2,2,0,3,3,1,0,3,1,0,3,2,3,1,1,3,0,2,0,1,2,2,1,2,3,0,1,3,0,0,2,2,3,1,3,3,2,0,3,1,3,3,3,3,3,2,1,2,0,3,2,2,0,0,3,0,0,0,1,1,0,1,3,2,1,1,3,2,0,1,2,0,0]
[1,0,3,3,0,1,3,3,0,2,1,1,3,3,1,0,2,2,0,1,3,3,3,2,3,3,0,0,2,2,1,0,3,3,3,2,1,2,3,3,1,3,1,2,3,0,3,1,1,0,0,1,2,2,3,1,2,2,3,3,0,2,1,1,1,0,2,3,1,2,3,0,1,1,0,0,1,28,0,3,0,1,2,3,1,2,3,3,0,3,1,1,1,0,1,0,1,0,3,0,2,2,1,3,1,1,0,2,2,3,2,2,0,1,0,1,2,3,1,3,2,2,3,2,1,1,0,2,3,2,2,1,0,1,0,1,1,1,3,1,0,0,0,0,3,3,1,2,1,1,2,3,2,0,0,1,2,0,3,3,0,2,1,3,0,0,2,0,3,0,2,2,0,1,3,3,2,1,3,2,0,3,2,3,2,0,0,0,1,3,1,1,0,1,0,3,1,2,1,3,0,3,0,1,0,3,2,0,2,2,2,2,3,2,3,2,0,1,3,0,2,1,1,2,2,1,0,2,1,3,1,3,2,0,2,0,0,2,2,2,28,0,2,3,3,3,1,0,1,1,2,0,1,3,1,1,0,2,2,3,2,0,2,2,2,0,2,3,0,3,28,0,2,1,0,2,2,1,2,1,3,0,2,2,2,0,0,3,2,2,3,2,3,2,0,1,3,2,3,0,0,1,1,3,3,1,2,0,0,0,3,2,1,1,1,2,0,1,2,1,2,3,2,2,1,3,1,0,1,1,1,3,1,2,0,3,2,1,2,0,1,2,3,1,2,3,1,3,1,1,2,3,2,2,1,2,3,0,3,1,0,2,0,1,1,0,0,3,0,0,1,1,1,1,0,2,2,2,3,2,1,0,2,3,1,0,1,3,0,0,2,2,2,1,3,2,2,3,1,0,0,3,0,2,3,2,2,3,3,0,3,3,3,3,3,28,2,3,1,2,1,1,3,3,1,1,1,2,35,1,2,3,0,0,2,0,2,3,0,2,3,1,0,1,2,0,3,3,1,1,3,2,1,0,2,2,2,3,0,2,1,0,1,2,2,3,2,2,0,1,3,0,0,0,1,1,1,28,2,3,1,3,3,2,3,3,0,1,0,2,3,0,1,2,1,1,1,3,1,3,2,0,28,2,2,0,0,3,1,3,2,1,2,3,3,0,3,2,2,2,2,1,0,3,1,2,0,0,0,1,2,3,1,2,2,2,1,3,1,2,3,2,2,0,1,0,1,2,3,2,0,1,3,2,2,3,0,1,3,1,1,3,1,1,0,1,1,0,2,1,3,3,0,2,1,3,0,0,2,3,0,2,0,0,2,3,1,2,1,1,2,3,0,2,2,1,2,1,1,3]
[1,1,0,0,0,1,3,2,1,3,3,3,3,2,0,1,3,2,3,3,2,3,0,2,3,2,2,1,0,3,0,2,3,3,2,0,2,2,0,3,3,3,0,1,1,1,3,3,1,3,3,2,0,0,2,3,1,1,2,2,3,2,1,2,1,1,3,3,2,1,1,1,3,1,0,3,3,3,1,3,3,0,3,0,3,3,1,0,0,0,2,0,1,3,0,1,3,3,2,1,2,1,3,3,0,1,0,2,0,2,1,2,3,0,2,0,3,3,0,2,0,0,0,0,1,0,2,3,3,0,3,0,2,0,3,1,2,3,2,1,1,1,2,3,0,1,0,0,3,1,28,1,3,2,28,3,1,2,2,2,0,3,0,0,2,1,3,3,3,2,3,3,1,0,3,1,1,2,3,2,2,1,1,3,2,3,3,1,3,1,1,3,1,3,1,0,3,0,3,2,0,2,1,3,2,1,2,1,1,2,1,1,1,2,2,2,0,2,1,3,1,2,3,3,1,1,1,2,2,3,0,3,3,2,0,3,2,3,0,1,0,1,2,0,2,2,0,1,0,1,3,1,0,0,0,0,0,0,2,3,3,3,0,2,2,1,3,0,2,0,0,1,3,1,2,0,1,2,1,2,3,2,0,3,1,0,3,1,3,3,0,2,2,1,0,3,2,1,1,2,2,2,1,1,1,3,3,1,0,2,3,2,1,0,2,0,3,0,3,2,0,3,1,1,1,3,2,2,3,0,3,1,3,3,0,2,2,3,1,0,3,0,1,1,2,1,2,1,2,0,0,3,0,1,1,1,1,1,0,1,2,35,2,0,0,2,2,2,2,0,0,1,0,0,0,0,3,0,1,3,1,1,2,3,1,0,1,1,2,2,3,2,1,1,2,1,3,3,2,0,2,3,0,1,0,2,28,0,2,1,1,1,3,2,0,2,2,2,0,1,28,3,35,0,0,1,0,2,1,1,0,2,0,0,28,0,0,1,3,3,1,3,0,1,2,0,3,0,2,0,2,0,1,0,2,1,2,3,2,1,0,3,1,0,2,0,1,0,0,1,1,2,3,2,1,0,1,1,2,1,3,28,28,1,2,3,3,2,2,1,2,3,0,3,3,1,1,1,3,0,3,2,2,1,3,3,28,28,2,0,2,1,1,3,1,3,3,2,3,3,3,3,2,1,1,28,2,1,1,3,3,0,2,1,1,0,1,1,3,1,0,1,3,1,1,0,2,0,2,0,1,2,1,2,1,3,1,2,1,3,0,0,3,0,2,2,1,1,0,1,1,2,0,1,2,2,0,0,3,3,3,3,2,0,1,2,2,2,1,3,3,3,3,2,0,3,3,1,3,2]
[0,3,0,2,0,2,0,2,1,3,2,0,1,2,1,2,3,2,2,3,3,3,0,3,1,2,3,2,1,0,3,3,1,1,0,2,2,0,2,2,0,2,2,2,3,3,0,3,2,1,1,1,1,2,3,1,0,3,1,3,2,1,2,3,0,2,2,3,1,3,3,0,1,0,1,3,2,2,2,0,1,2,2,3,2,3,2,2,3,1,2,0,3,1,1,0,1,3,0,2,1,3,1,3,2,1,3,2,3,3,2,0,1,1,0,1,0,2,2,3,3,0,2,1,0,1,1,2,2,1,1,1,2,3,1,0,2,3,0,3,3,0,2,0,3,0,1,0,0,28,3,3,2,1,3,2,2,1,0,3,3,0,0,1,3,0,1,1,1,2,28,3,0,2,3,1,2,3,0,0,3,1,2,3,1,3,0,0,1,0,3,0,0,1,3,28,42,2,2,3,3,0,3,1,1,1,1,3,2,1,1,0,3,1,3,2,2,0,2,1,3,1,2,1,2,1,3,1,3,2,2,2,1,2,0,2,2,1,3,3,1,0,0,2,1,1,3,1,3,2,1,0,1,3,0,1,1,2,0,2,2,0,2,2,1,3,3,0,1,3,2,1,3,1,3,0,1,0,3,2,3,1,2,2,3,1,1,2,0,3,3,0,0,3,1,3,3,3,1,2,1,0,1,3,3,1,1,1,1,3,1,1,1,1,1,3,3,3,3,1,3,3,1,3,2,3,0,1,3,2,1,0,0,2,3,1,1,0,2,0,1,3,1,3,0,1,1,1,1,2,2,0,2,3,1,2,1,0,3,2,1,2,1,0,0,1,2,0,2,0,0,1,3,0,3,3,3,2,3,0,2,1,2,0,3,28,1,0,1,3,3,3,3,1,2,2,0,1,2,0,3,1,1,0,2,2,3,2,3,0,3,28,3,0,2,1,0,3,0,1,2,1,1,2,0,0,2,2,0,1,3,1,1,0,0,3,2,1,2,3,3,3,3,0,3,1,2,0,1,3,3,28,3,0,0,3,0,28,0,28,28,1,2,0,28,3,1,3,28,2,2,3,0,2,1,28,0,2,0,2,0,2,1,1,1,3,0,1,28,0,1,0,1,3,2,2,0,3,3,3,1,0,2,0,0,3,0,0,0,0,1,3,2,1,0,1,28,2,2,2,0,1,1,3,0,3,1,2,0,2,2,0,0,2,2,3,3,2,3,1,28,3,1,2,3,3,1,1,3,3,2,2,2,2,3,3,3,2,3,0,1,1,3,0,3,3,0,1,1,1,1,1,0,2,1,2,0,3,2,3,1,3,3,3,1,1,2,0,3,3,3,3,3,1,2,0,2,2,2,1]
[1,0,1,0,0,0,2,2,1,3,1,2,1,2,2,0,0,3,0,0,2,0,2,0,3,0,3,0,3,3,3,3,2,3,2,0,0,0,2,1,1,2,3,1,1,0,1,2,1,2,0,2,2,0,1,3,2,1,3,2,0,0,0,1,1,2,0,2,3,3,0,2,2,3,0,3,3,3,2,2,0,3,1,2,1,0,1,0,2,3,1,0,1,3,2,2,2,2,1,1,0,0,1,2,1,1,0,3,35,2,1,2,3,2,1,3,2,1,0,1,1,3,2,0,1,1,1,0,2,0,0,3,2,3,0,2,2,0,2,1,0,3,3,0,1,0,2,3,1,2,3,28,3,1,0,28,3,0,1,0,3,0,2,0,2,0,3,3,2,1,2,0,3,0,2,0,2,1,1,1,2,1,0,0,2,2,1,2,2,1,0,1,1,3,2,0,0,0,0,3,3,3,0,2,3,3,0,3,1,1,2,2,1,0,0,3,1,2,3,0,0,1,2,3,2,2,0,1,3,0,3,2,0,1,1,3,0,3,3,2,3,2,2,1,2,2,3,1,0,1,1,3,1,2,1,3,1,1,0,0,3,0,1,0,2,0,0,2,3,0,1,2,2,1,1,1,3,3,1,1,1,0,0,2,1,1,1,3,3,3,2,0,1,3,3,0,0,0,0,2,2,2,2,2,3,0,2,1,0,3,1,2,0,1,2,0,1,3,3,1,2,3,3,0,0,2,0,0,2,1,2,1,0,2,2,1,0,2,3,1,2,3,2,3,3,1,2,3,3,2,2,0,3,3,3,2,0,3,1,0,2,1,0,2,3,1,2,1,2,2,3,1,0,1,2,3,2,2,0,2,1,1,2,3,3,3,0,0,3,1,3,3,2,1,1,2,3,3,3,3,1,28,3,2,2,0,35,0,0,0,0,1,3,2,0,3,0,0,2,2,0,49,1,1,2,3,2,2,35,3,3,2,2,28,3,3,28,0,35,1,3,28,0,35,2,0,0,28,3,3,2,1,0,1,3,3,2,0,3,0,2,0,0,3,0,3,0,1,0,28,2,0,3,1,2,0,2,28,0,0,2,1,1,3,1,3,3,3,1,0,3,1,1,1,35,1,35,0,3,3,1,0,3,28,0,0,3,3,0,1,1,3,1,1,1,0,28,0,3,3,0,0,2,3,2,3,2,0,2,2,0,1,0,1,1,3,0,0,2,0,2,0,1,0,1,0,0,2,0,0,2,1,2,0,3,0,3,0,1,2,2,3,3,1,3,2,3,0,0,0,1,0,0,0,0,0,1,1,2,1,2,3,2,2,1,3,1,3,3,1,2,1,0,0,3,2,1,0,0,0]
[0,0,2,2,0,2,1,0,2,1,2,1,2,2,3,1,1,1,3,2,3,1,2,2,0,2,0,1,3,2,1,1,1,2,1,2,2,1,2,3,1,28,0,3,0,1,2,3,0,0,2,3,3,0,1,1,1,2,2,0,0,1,1,2,3,28,0,0,1,2,3,0,1,2,0,2,2,0,3,3,3,3,2,2,1,0,3,3,1,3,3,1,2,2,1,1,0,3,2,28,0,0,3,2,1,0,0,1,2,2,0,2,0,1,3,0,3,1,0,1,1,1,0,0,2,3,3,0,2,3,3,2,1,2,1,0,2,3,0,3,0,3,3,28,0,3,1,0,1,0,1,3,2,1,1,2,2,35,3,0,3,1,2,2,3,1,3,1,1,0,2,1,0,3,3,2,0,1,2,0,0,0,3,3,2,3,28,2,28,0,1,0,3,1,3,1,0,2,2,2,3,28,0,3,0,2,3,0,3,2,0,1,3,0,1,3,2,1,1,1,2,3,2,1,2,1,3,0,1,2,3,1,1,1,3,3,0,3,0,2,0,3,2,2,2,0,0,1,2,1,0,2,1,3,2,1,0,2,2,0,0,0,2,3,0,3,3,1,2,3,3,0,3,1,1,0,1,28,2,2,3,1,0,2,3,1,2,1,1,1,3,0,2,0,1,2,2,0,3,0,0,2,0,2,2,1,3,1,2,1,1,1,3,0,2,3,0,3,0,3,0,2,1,1,0,2,2,1,0,3,0,1,2,2,3,3,2,3,1,3,2,0,2,3,3,2,2,2,0,0,1,3,3,1,0,1,3,3,0,1,1,1,1,1,0,0,1,0,1,0,0,1,1,2,2,1,2,1,1,0,3,3,2,3,3,1,3,1,2,0,42,2,0,1,2,2,1,1,2,3,1,28,2,0,3,1,1,2,0,28,1,2,28,0,0,28,0,1,3,28,3,1,0,3,28,1,3,2,2,2,1,35,0,28,2,0,42,0,3,2,0,35,1,3,28,3,3,1,2,28,2,3,1,0,1,1,3,1,2,3,2,1,1,0,1,1,3,35,3,1,1,1,1,2,2,1,0,0,1,3,1,2,3,28,3,28,0,28,2,2,1,0,2,0,1,2,0,2,28,3,3,35,3,3,0,3,28,1,0,3,0,28,0,3,3,3,3,3,0,1,1,1,3,3,3,0,3,2,2,0,0,1,1,3,0,2,0,2,0,1,3,2,1,3,3,2,2,2,1,0,1,1,2,0,0,2,1,3,1,3,3,0,1,2,3,3,2,0,3,1,3,1,1,1,3,3,3,0,1,0,1,0,2,0,2,3,0,0,3,2,0,1,0,0,0,2,1,0,1,0]
[2,0,0,1,2,0,1,3,0,2,3,2,1,0,1,0,2,3,2,1,1,1,2,2,2,0,1,3,2,3,0,3,0,1,2,1,1,1,1,1,3,3,2,2,2,1,1,2,3,0,1,2,2,1,28,3,3,2,2,1,1,0,0,2,0,3,3,1,3,1,3,1,42,0,1,0,3,3,2,1,1,0,3,1,0,1,3,1,2,1,3,0,3,0,0,1,1,1,28,2,2,0,0,2,3,1,28,2,35,2,0,1,0,1,35,1,0,0,2,2,3,3,1,0,2,2,0,3,3,0,1,2,3,2,0,1,3,2,0,0,2,1,3,3,0,3,2,1,3,1,2,3,3,3,0,1,2,2,0,0,1,0,0,3,3,3,2,0,1,0,3,1,0,1,0,2,1,3,0,0,1,3,3,2,2,1,2,1,0,2,1,2,1,0,0,1,2,2,2,28,3,2,1,2,1,2,1,0,1,3,3,2,2,1,2,2,1,0,1,1,0,0,3,3,2,0,0,1,1,1,3,0,0,3,2,0,1,2,3,3,0,0,28,3,0,2,3,3,0,1,1,1,0,2,0,2,1,0,0,1,2,1,0,0,2,1,3,0,3,2,1,2,3,1,3,1,0,2,1,0,1,2,2,1,0,0,1,0,3,1,0,2,1,0,2,3,2,2,1,2,3,1,0,0,3,1,3,3,3,3,3,2,0,3,3,1,2,2,1,1,3,0,2,3,0,3,2,0,3,1,2,2,0,1,3,28,0,3,3,28,1,3,2,2,1,0,3,0,2,0,1,2,1,2,3,2,2,1,1,28,2,3,2,3,2,28,3,0,2,1,2,1,2,1,0,0,3,2,2,0,3,3,3,1,3,1,1,0,2,2,35,2,28,2,42,3,2,0,1,3,2,0,1,1,2,35,2,28,3,28,28,2,2,0,28,28,28,1,2,1,2,28,0,28,0,2,3,3,0,0,3,2,0,3,0,3,0,3,0,3,3,2,0,28,3,2,3,0,0,35,28,28,28,3,35,2,56,1,35,1,42,3,2,1,1,2,2,3,3,28,0,0,2,3,42,28,1,1,2,35,1,1,2,0,28,1,28,1,35,2,28,1,2,3,28,3,2,28,28,42,3,42,0,28,28,0,0,3,2,2,3,1,28,28,1,28,28,1,28,3,28,2,0,3,3,2,3,3,1,28,3,35,2,0,1,0,3,0,0,1,3,2,3,1,3,2,2,1,1,3,0,1,1,0,0,0,0,2,3,1,2,2,0,1,1,1,3,2,1,2,1,2,1,2,3,2,3,2,0,0,0,0,0,3,2,2,3,2,3,3,3,3,1,2,0,3,1,0,0,2]
[3,1,3,3,1,0,2,1,3,2,2,3,2,0,0,0,0,2,0,3,0,2,2,1,0,1,1,0,3,2,3,2,0,2,1,1,1,3,2,0,3,28,2,0,1,0,1,3,2,3,35,1,2,3,28,3,2,1,0,28,2,1,0,1,0,1,0,2,3,0,3,1,1,3,1,28,28,3,3,1,1,1,2,3,1,3,28,0,2,3,0,0,3,1,0,1,1,3,3,3,0,2,3,1,2,0,28,2,3,2,3,3,1,1,2,1,1,1,0,3,3,2,1,0,0,2,3,3,2,0,1,1,0,1,3,28,0,2,1,28,0,0,0,3,3,2,0,2,3,0,0,0,1,2,0,0,28,1,1,1,1,42,0,0,1,28,2,3,2,2,0,0,1,1,3,0,28,1,0,3,3,3,3,1,1,2,0,1,3,2,0,1,0,1,1,3,1,1,0,1,1,1,3,2,1,0,0,3,1,3,2,1,2,0,3,0,42,1,2,2,2,0,0,0,0,3,0,1,3,2,2,2,1,2,0,2,0,3,2,28,2,2,3,3,2,0,0,1,2,2,3,28,1,28,3,1,0,3,1,0,0,3,2,0,1,0,1,1,1,3,0,1,0,1,1,3,2,3,1,0,2,0,2,3,2,2,0,3,3,28,1,1,2,0,2,28,0,3,0,1,1,1,2,0,0,1,1,0,3,3,1,1,28,1,0,2,2,28,2,2,0,1,28,2,2,2,2,0,2,3,2,3,1,0,1,1,3,1,0,2,0,3,3,1,1,0,0,1,1,1,3,2,3,0,3,1,0,3,3,0,2,0,3,2,2,0,2,28,3,1,3,3,1,3,0,1,28,1,1,2,3,3,1,35,1,2,2,0,49,3,3,2,2,28,1,2,0,3,35,1,0,0,2,0,1,2,28,1,28,35,28,3,3,35,35,28,1,2,0,1,42,28,0,2,28,35,1,28,28,2,2,28,35,0,2,56,1,2,3,3,1,2,28,28,35,3,35,1,1,28,35,56,28,28,1,56,0,35,1,28,0,28,28,0,2,28,49,3,28,0,3,56,0,56,2,3,35,0,0,49,28,2,35,63,0,2,1,63,28,0,3,0,35,56,35,28,0,1,35,1,35,35,42,1,28,28,35,28,3,35,1,28,2,28,1,0,0,2,0,0,3,77,2,3,1,35,0,0,0,1,3,2,1,1,0,3,2,2,1,1,28,3,3,0,3,3,1,0,0,0,0,1,3,3,1,1,3,3,3,2,0,2,2,2,3,3,3,0,2,1,0,1,2,3,2,2,2,1,1,2,1,2,2,2,1,0,3,2,1,3,3,1,2,0,1,2,0,0,3,3]
[3,3,0,1,1,2,0,2,0,1,1,2,0,3,0,2,2,0,0,3,1,1,0,0,3,1,2,1,1,1,2,0,0,2,1,0,0,3,1,1,0,3,1,0,2,2,28,2,3,0,0,3,28,2,2,0,1,42,2,1,3,0,2,42,28,1,1,2,2,2,2,3,1,2,2,3,2,3,2,3,1,1,2,1,28,2,1,28,2,0,35,35,2,0,2,1,2,0,0,35,28,28,2,1,1,3,3,0,28,1,2,1,1,0,3,28,0,2,2,28,28,1,1,3,2,2,1,3,0,2,3,2,2,3,3,3,1,2,2,3,2,0,2,1,0,0,0,3,0,35,28,1,3,0,28,1,2,1,2,1,0,3,0,0,2,2,3,1,1,2,3,0,1,2,0,2,2,2,0,1,3,0,1,1,3,35,2,0,3,0,0,0,0,0,2,3,3,0,0,0,1,2,28,2,2,2,1,0,3,1,0,3,0,1,2,1,3,3,2,1,1,2,3,0,1,2,2,1,0,0,2,28,0,0,28,3,3,3,1,3,2,0,3,1,3,2,0,28,1,0,3,1,2,2,3,0,2,0,1,3,0,3,28,3,3,1,1,1,1,1,1,0,1,3,2,3,3,3,1,3,2,2,2,1,1,3,1,2,1,35,3,2,3,1,42,3,3,3,0,0,3,1,1,1,3,0,0,1,0,1,0,2,1,0,0,0,0,3,3,3,2,3,0,0,2,2,0,0,28,3,3,1,0,2,2,0,1,2,1,3,0,28,2,1,0,3,42,2,2,3,0,1,0,0,1,3,0,2,28,2,1,28,1,3,2,3,0,1,0,1,3,3,42,3,2,35,1,1,0,3,42,1,1,2,0,3,35,2,2,2,42,0,2,3,0,2,1,1,3,28,1,2,35,1,35,1,0,2,1,3,42,28,42,28,0,3,35,0,0,35,70,3,28,35,49,28,28,0,3,49,42,49,1,28,0,28,3,2,56,2,3,35,35,3,3,0,35,49,0,28,35,3,42,2,2,28,1,1,0,3,0,35,1,49,3,35,42,2,1,42,1,1,3,35,3,42,42,2,28,28,28,0,42,3,3,35,35,3,35,0,42,35,35,28,2,0,1,35,28,49,1,0,49,63,35,3,35,1,49,2,2,1,42,28,28,3,42,63,35,2,35,1,3,0,2,3,28,0,35,28,0,3,3,3,2,1,0,1,0,0,2,3,2,2,3,0,3,3,2,1,2,2,1,3,2,0,3,3,2,0,1,3,2,3,1,1,0,1,2,0,0,1,1,0,1,3,2,3,3,3,2,1,3,1,2,2,1,0,3,3,1,2,1,2,2,0,3,1,2,0]
[2,3,3,3,2,2,1,0,2,2,3,3,0,1,0,2,2,0,2,2,1,2,2,3,2,2,0,2,2,0,0,3,3,1,2,28,0,1,1,3,0,3,28,2,3,3,2,2,3,3,0,0,0,0,3,3,1,1,0,3,3,2,2,2,1,0,0,2,3,0,2,0,28,0,0,35,1,1,28,1,1,3,3,0,0,2,2,3,28,0,1,3,3,28,28,42,0,3,1,1,35,3,35,28,0,0,1,42,42,3,35,28,3,1,42,1,3,28,2,1,1,1,3,28,1,3,28,2,1,28,42,2,2,1,28,28,0,1,1,3,49,0,2,0,2,28,28,1,2,2,1,0,49,1,28,1,28,0,35,1,35,2,3,3,2,28,0,1,35,3,28,0,3,1,3,3,0,0,0,3,0,0,3,2,0,2,3,0,2,2,0,28,2,1,2,0,35,1,0,2,42,1,3,0,2,2,28,1,1,2,3,0,1,2,0,0,2,3,0,1,2,1,1,2,3,0,3,28,28,3,1,1,1,0,0,0,2,42,2,0,2,1,3,28,3,1,1,2,28,0,35,3,0,3,1,3,3,3,2,0,35,2,3,3,2,1,28,2,3,1,2,28,1,28,1,3,0,0,1,0,2,1,28,2,1,2,2,3,3,35,1,3,2,2,35,2,3,1,0,3,1,3,28,28,0,28,2,0,2,2,1,2,3,2,1,28,3,2,1,2,0,0,1,2,2,0,1,28,0,1,1,0,0,0,2,1,0,0,2,0,2,2,1,2,2,1,1,3,0,2,3,1,2,3,0,0,3,3,1,1,2,3,0,1,0,1,35,2,28,28,0,3,0,28,1,35,3,42,1,42,1,2,1,0,1,3,2,28,1,28,28,56,0,49,35,1,2,1,2,1,42,70,3,2,42,0,2,3,3,3,49,56,42,3,28,35,1,28,1,0,35,35,3,35,0,42,42,56,35,0,1,56,28,2,49,49,35,42,42,35,28,35,49,49,35,42,42,28,35,28,42,28,49,28,3,63,3,42,56,49,1,49,0,63,28,35,49,28,28,28,42,28,35,63,28,0,63,70,28,28,28,0,28,49,42,42,35,28,35,35,56,28,28,0,42,0,35,28,28,42,49,35,2,28,35,35,49,0,0,28,70,49,35,42,42,3,2,70,56,42,0,28,3,2,1,3,28,3,3,3,2,1,0,3,2,2,1,3,2,1,3,2,3,2,0,2,3,2,1,1,0,1,1,2,3,0,3,0,0,0,0,1,1,0,1,1,0,3,2,3,3,3,2,3,0,3,3,0,2,3,0,1,1,2,1,2,0,3,0,2,3,0,1,3,0,0,1,0,0,2]
[1,0,2,0,3,1,3,1,1,1,2,1,2,1,2,3,3,2,1,3,3,3,1,1,1,0,1,3,3,3,2,0,2,1,1,42,3,2,0,2,2,2,0,2,2,3,28,1,35,2,1,0,0,2,2,1,1,1,1,1,0,1,28,63,1,3,3,2,3,3,2,1,2,3,35,2,3,28,0,1,3,2,1,2,2,0,3,0,3,1,2,28,49,3,35,1,3,28,28,0,1,0,3,1,0,1,42,28,28,28,35,35,3,1,28,2,28,28,2,2,0,3,0,2,2,2,0,2,42,0,2,28,28,28,42,0,28,2,0,1,1,2,3,0,56,3,28,3,1,35,3,2,1,0,63,28,1,1,28,1,0,2,0,2,28,2,35,28,1,42,2,28,42,2,0,3,2,3,0,28,0,0,0,0,3,0,49,0,0,1,2,0,28,1,3,3,1,49,0,35,2,28,28,3,3,49,42,3,35,2,0,0,1,2,0,28,2,0,28,2,2,1,3,3,1,2,3,0,2,3,28,3,3,0,0,2,2,42,1,0,1,1,2,3,3,1,2,1,0,28,35,49,0,28,3,2,0,2,28,49,3,0,28,28,1,28,49,28,3,2,2,2,2,1,35,0,35,2,3,2,2,0,0,28,1,2,2,1,2,3,1,3,3,2,28,0,2,2,3,3,0,2,0,28,1,0,2,1,0,3,0,28,0,1,0,3,3,0,1,2,3,3,35,2,3,1,2,0,3,3,2,1,0,2,1,3,1,49,1,0,0,2,3,35,2,1,35,35,3,28,28,3,0,2,35,1,28,3,42,49,1,0,0,0,28,28,2,0,42,49,35,49,1,28,1,2,35,0,0,28,35,49,2,42,28,35,56,28,35,0,42,28,28,2,49,42,2,2,1,70,42,35,49,28,0,56,3,28,2,3,35,2,28,49,28,28,35,35,70,49,35,35,49,49,1,56,42,56,2,42,42,35,49,0,35,49,28,1,49,91,35,28,49,42,42,28,42,42,28,28,42,42,42,49,49,42,84,77,35,1,70,49,63,63,28,77,42,63,1,49,28,35,3,35,70,42,49,49,35,35,35,77,84,3,42,49,56,56,63,35,35,28,49,63,42,1,1,35,63,28,49,84,0,35,56,49,56,42,1,0,56,3,49,77,70,35,28,35,42,2,2,28,35,3,2,3,28,28,1,0,1,3,2,3,3,1,3,3,2,1,3,0,3,1,2,0,0,3,1,1,0,0,1,1,0,1,3,3,2,1,3,3,1,2,3,0,2,1,3,0,0,0,3,0,2,2,0,0,0,3,0,2,1,2,3,3,2,0,0,2,0,1,0,2,1,1,2,1,0,3]
[3,0,1,1,0,2,1,3,1,1,1,1,2,2,2,3,3,2,0,1,1,1,1,2,0,3,0,2,1,1,0,1,0,0,2,3,0,1,0,28,2,1,42,28,0,1,0,28,1,28,1,3,3,28,2,28,0,28,3,1,0,35,2,35,2,2,35,28,3,3,1,2,2,0,42,42,3,28,28,1,3,63,35,0,3,2,35,28,2,35,35,2,1,35,2,1,63,28,2,0,1,28,3,1,3,2,35,28,0,28,28,35,1,28,0,3,3,42,49,35,2,28,28,49,3,42,2,3,3,3,42,1,3,28,1,35,35,49,2,35,28,2,0,1,28,1,3,3,1,1,0,3,35,2,28,2,1,0,2,28,28,42,3,28,0,1,0,1,3,35,3,1,0,28,1,0,35,35,0,3,0,1,2,2,3,0,28,28,2,3,49,1,28,35,1,0,3,28,2,0,1,3,0,3,0,28,3,3,28,1,2,3,2,28,2,1,3,2,0,1,2,2,3,28,1,28,2,28,2,42,28,3,28,1,3,2,1,28,2,0,35,3,0,3,0,0,1,2,0,2,0,3,0,28,3,35,28,35,1,0,2,0,1,0,1,1,1,1,1,3,35,0,1,28,1,2,1,1,84,35,1,42,3,1,2,1,2,3,0,0,1,1,35,3,1,1,3,3,0,0,0,2,35,28,0,1,1,3,28,28,35,2,28,3,2,3,35,2,49,28,1,3,1,3,2,49,2,2,1,3,0,3,2,3,28,3,2,1,2,0,3,3,28,28,28,49,2,2,49,3,1,0,28,28,28,2,0,28,2,3,1,28,49,1,35,1,1,70,49,1,63,77,0,35,49,35,0,3,77,42,28,56,0,56,0,49,1,42,1,2,77,28,1,63,63,42,3,28,35,56,84,70,63,49,28,28,63,28,63,35,42,77,35,56,56,98,63,63,42,63,49,91,63,84,42,70,56,3,28,49,70,42,42,42,42,49,28,91,56,35,70,42,56,0,35,70,77,49,2,28,70,35,42,42,35,28,35,56,1,49,70,42,70,63,63,77,70,56,49,70,0,35,28,0,77,49,42,3,49,28,84,42,91,35,42,98,56,35,91,49,56,42,77,49,42,70,42,0,56,91,35,63,42,77,49,35,28,70,0,1,70,56,35,49,42,49,42,49,35,56,28,1,84,28,28,0,49,49,28,1,1,2,28,1,2,0,0,1,2,3,1,1,3,1,3,0,3,2,2,3,1,1,0,0,2,3,2,1,3,1,1,0,2,3,2,1,0,0,1,0,0,0,1,2,1,0,3,3,1,1,3,0,2,0,0,2,0,0,28,0,2,1,1,1,1,2,2,0,3,3]
[1,1,0,1,3,1,1,0,2,1,0,1,1,3,0,1,1,0,2,3,0,0,3,3,3,0,2,1,3,2,2,0,0,1,2,35,1,2,3,0,3,0,28,0,42,28,28,3,28,1,28,3,1,3,28,2,28,2,3,28,0,2,28,49,3,28,2,35,1,42,35,42,35,2,0,3,56,56,2,2,0,28,35,0,1,0,2,28,49,0,42,35,42,49,35,1,35,49,2,2,28,42,0,28,3,42,28,2,28,35,35,42,42,42,3,2,42,2,42,2,28,3,35,28,42,56,2,49,1,1,49,35,35,0,49,35,35,3,28,35,35,28,2,3,42,1,42,1,42,0,28,28,35,56,3,3,28,42,1,2,28,28,28,1,2,1,35,35,28,2,1,42,28,3,28,42,0,28,2,35,2,28,35,1,2,42,35,35,1,35,0,28,3,56,35,2,2,2,1,2,42,1,3,35,28,28,3,28,42,0,35,28,28,0,1,0,28,28,0,49,0,0,1,2,1,2,28,2,35,28,0,0,35,3,28,28,1,2,2,1,3,0,28,35,1,2,0,42,0,42,2,28,0,49,35,0,3,0,0,3,49,1,3,0,0,1,35,2,28,0,3,1,28,1,2,28,2,28,0,35,1,0,1,1,1,1,1,42,3,3,28,28,28,0,3,0,3,1,2,3,1,0,2,3,1,3,1,3,28,2,42,28,3,1,28,2,28,3,1,2,28,28,2,1,1,2,28,2,35,1,28,28,3,35,35,42,1,2,28,35,3,28,28,2,1,0,28,0,0,56,3,28,3,28,35,3,35,49,2,49,1,3,3,3,0,1,35,1,0,42,28,63,2,28,28,91,35,49,56,1,3,49,28,42,0,35,49,77,49,42,49,49,49,56,84,28,1,35,70,49,91,63,0,56,77,70,49,35,35,49,84,70,49,70,56,84,112,3,42,77,105,42,70,49,84,49,112,70,84,70,35,63,42,98,49,63,56,91,77,77,42,63,35,28,49,91,63,2,119,77,70,49,28,105,70,49,63,56,42,42,56,70,70,42,49,84,42,56,42,42,35,98,56,91,77,56,35,63,28,42,77,77,63,63,91,91,56,98,35,42,56,70,91,35,91,56,56,98,42,91,42,77,70,98,70,56,63,84,84,63,56,98,35,28,49,49,63,42,63,0,70,77,56,91,42,35,3,77,28,42,49,56,28,0,49,35,28,0,1,28,1,0,2,3,2,1,0,2,1,3,2,0,1,0,2,1,0,3,1,1,1,1,2,1,0,3,0,3,2,2,3,1,2,2,1,3,2,1,1,1,2,1,2,2,1,3,1,2,1,1,0,2,2,1,3,1,2,3,2,3]
[2,3,3,0,0,0,2,2,2,3,2,3,0,1,2,0,2,2,0,3,0,3,3,3,1,3,3,1,1,0,1,2,1,1,0,1,1,0,0,2,28,0,0,35,3,3,42,0,42,1,0,0,35,56,63,42,35,49,28,49,84,35,0,49,2,42,42,35,70,56,28,28,49,3,42,35,28,3,42,28,0,42,42,49,28,35,42,56,63,0,28,3,2,2,42,49,42,49,0,28,42,28,35,0,42,1,2,28,1,1,42,49,70,35,77,35,42,1,0,3,28,2,28,42,1,0,28,35,42,42,49,1,49,28,3,2,0,3,35,42,28,42,3,0,35,2,56,3,1,35,35,0,35,28,56,28,0,0,35,42,3,1,56,35,49,2,0,42,2,0,49,35,2,3,49,42,56,3,0,2,28,28,3,0,28,49,3,35,1,28,2,42,3,28,3,63,42,0,49,1,3,49,3,0,0,3,49,49,28,1,1,0,35,0,35,2,0,1,3,42,3,1,2,3,56,42,0,35,0,28,3,42,28,1,3,0,1,28,3,3,3,49,28,2,0,0,0,3,35,1,1,42,2,42,0,1,49,28,35,35,49,35,35,35,42,3,1,3,1,2,35,2,35,2,35,0,3,3,2,28,28,35,0,1,28,42,0,3,42,42,35,28,28,3,0,35,28,28,2,0,28,28,1,28,42,2,56,56,0,0,28,0,3,0,28,49,0,3,0,3,28,35,3,3,1,2,1,3,35,3,49,35,35,28,1,49,49,0,3,35,35,0,35,35,2,1,42,56,49,49,2,35,35,2,2,1,35,70,63,1,0,3,63,35,49,0,2,63,35,28,35,42,42,35,1,42,56,63,77,77,63,1,63,0,70,63,49,28,63,63,28,56,42,35,105,1,70,1,70,91,56,56,49,91,70,56,28,77,70,63,91,63,70,84,98,35,63,56,63,49,63,98,98,91,35,70,56,70,49,42,70,63,70,63,84,63,98,49,49,42,56,56,77,49,42,49,70,98,91,98,77,63,77,56,56,91,77,35,70,91,91,56,63,63,77,56,91,91,77,105,63,35,70,56,56,84,56,112,42,91,56,98,42,63,70,70,56,49,105,63,49,77,56,56,105,84,105,91,42,56,91,56,63,105,70,49,63,63,63,42,77,56,63,91,112,63,105,42,91,56,84,98,70,42,28,77,3,56,1,70,35,35,49,56,49,28,2,1,49,28,0,1,1,1,1,2,1,3,1,2,2,2,0,1,2,0,1,3,3,3,3,3,1,0,0,3,2,3,3,0,3,0,3,2,2,3,3,2,2,0,2,1,2,3,1,2,1,2,3,2,3,3,3,3,3,3,3,1,1,1]
[2,2,0,1,0,1,1,1,0,0,0,1,3,3,0,0,3,3,0,0,2,1,0,3,1,3,0,1,3,3,0,0,3,3,1,35,2,3,1,28,1,35,0,42,35,63,3,1,42,56,42,42,49,49,28,28,63,35,42,63,49,3,77,42,28,70,70,49,49,63,2,56,49,70,56,42,3,56,35,42,105,2,1,42,63,77,63,42,63,0,49,1,70,49,35,49,63,63,0,56,28,63,42,63,35,42,0,56,0,35,56,35,70,42,49,63,49,70,28,49,28,56,42,63,49,42,28,35,2,77,49,42,28,49,35,42,49,56,42,42,35,35,28,28,3,42,42,49,56,1,35,49,42,1,63,56,35,35,35,42,42,35,1,28,77,35,35,35,63,77,49,0,49,49,49,28,2,3,49,63,42,49,28,3,35,2,28,3,35,35,42,35,63,3,2,35,49,35,42,2,0,42,49,2,28,28,42,1,28,63,35,0,56,35,28,42,0,0,28,0,0,63,0,77,28,42,28,1,56,1,42,2,63,35,42,3,0,35,2,3,70,28,35,35,35,42,3,49,56,28,28,42,2,1,1,35,56,28,28,3,1,0,28,42,3,28,28,49,28,28,49,3,28,0,35,28,42,49,35,35,42,28,0,0,28,3,35,35,1,77,2,0,42,35,28,35,0,49,2,0,49,84,2,56,35,3,35,0,35,42,49,28,42,42,35,28,3,35,42,2,42,28,28,63,35,42,3,49,49,84,0,1,0,28,28,2,28,35,0,42,28,42,3,56,63,35,28,49,35,35,3,0,35,35,35,56,28,28,28,28,42,49,42,28,63,70,2,35,56,56,56,49,77,63,84,2,63,49,49,3,63,56,28,49,42,49,63,42,42,63,70,42,49,98,49,105,84,70,105,49,42,84,28,42,63,119,98,105,42,63,140,56,91,63,56,70,105,105,119,0,35,28,63,84,49,105,63,84,119,126,77,112,77,105,133,63,98,56,56,63,105,70,84,84,91,63,91,91,105,119,119,98,84,119,126,119,84,112,84,98,91,84,98,119,119,77,112,63,84,84,70,84,84,84,70,56,91,70,84,91,63,77,70,98,77,91,77,77,63,119,84,91,63,140,98,119,126,84,98,161,119,56,119,56,84,77,49,105,70,63,119,105,77,112,98,56,56,91,91,112,70,56,91,42,63,49,63,63,0,49,49,70,35,77,35,42,28,3,28,28,2,3,28,1,3,3,1,28,1,0,3,2,2,2,2,0,2,2,2,1,1,2,1,2,0,3,3,0,3,3,0,1,1,3,0,1,3,1,2,2,1,0,2,2,3,1,1,0,1,2,2,0,2,3,2,2,0,3,1,0]
[0,1,2,0,0,3,0,2,1,2,0,2,3,1,0,2,3,0,0,2,3,2,3,2,3,3,1,28,0,0,0,3,2,28,1,3,42,1,0,56,49,35,28,3,49,0,56,1,28,63,28,63,56,3,28,70,1,63,77,56,42,49,56,28,63,77,42,49,77,42,77,49,63,2,63,49,49,28,56,56,91,56,42,49,56,63,42,49,35,42,56,84,70,70,42,84,35,98,3,98,91,49,35,35,70,91,42,91,63,63,63,28,35,70,56,49,3,56,56,42,35,70,3,2,42,28,91,35,42,91,84,49,35,28,49,49,42,56,63,1,28,35,91,56,77,35,84,49,91,49,56,49,35,77,56,63,35,49,77,49,63,0,28,35,49,28,3,2,28,2,42,42,3,28,42,28,42,42,42,70,91,1,56,56,42,2,42,70,28,56,63,35,28,1,63,28,35,70,63,70,56,56,42,28,49,1,49,35,2,56,42,49,42,1,63,56,49,35,49,49,35,70,35,91,49,42,49,28,1,28,49,49,77,35,70,28,35,28,28,28,77,0,49,63,56,35,28,42,42,42,98,70,35,42,77,63,28,28,63,56,2,2,42,56,0,56,42,70,49,0,3,42,28,70,0,56,0,49,42,56,56,35,28,49,28,0,35,0,49,28,49,0,49,1,42,56,42,28,70,2,49,56,91,28,28,28,70,28,49,0,70,49,49,0,56,42,28,1,56,2,28,77,28,49,3,56,3,56,28,28,28,28,70,42,70,49,28,42,42,42,0,28,49,49,28,28,42,56,1,35,42,35,0,35,63,49,49,42,49,84,56,119,49,70,63,63,28,28,70,91,84,42,70,84,77,84,49,56,56,140,28,77,91,63,91,112,91,91,84,56,77,105,84,77,63,105,84,98,49,84,84,84,105,98,77,140,168,98,91,77,105,126,112,140,84,105,70,91,63,112,77,126,98,133,154,105,77,49,147,98,84,77,119,133,112,77,126,105,147,119,133,77,105,112,77,133,112,112,63,154,77,119,70,84,119,133,105,133,105,119,84,70,105,154,154,56,91,91,56,140,91,119,126,105,70,112,154,105,105,112,91,112,91,98,105,126,126,112,56,77,70,98,70,91,105,112,189,98,112,217,126,77,119,105,140,70,49,84,91,112,140,98,154,98,98,119,77,84,84,105,56,140,84,70,77,70,56,56,77,98,49,98,28,63,28,63,28,77,0,1,2,2,0,35,2,3,3,3,1,0,2,2,1,0,1,1,0,1,2,3,3,3,3,1,1,0,1,0,1,3,1,2,2,2,0,3,2,0,2,3,1,0,0,2,1,3,2,2,0,1,0,0,0,0,0,1,0,2,0,2]
[1,2,2,2,1,3,2,2,0,3,3,1,2,3,1,1,3,0,0,2,0,1,3,3,3,1,1,1,1,28,2,2,2,3,2,3,1,35,3,28,42,42,35,42,63,35,56,84,91,63,77,112,63,63,77,63,42,70,56,63,56,42,56,70,28,56,28,28,70,42,63,112,112,70,56,70,35,77,98,35,70,63,98,147,84,84,77,84,63,105,70,63,0,77,91,98,35,63,84,77,70,70,70,77,63,56,42,77,28,49,28,49,35,42,56,63,98,63,35,49,28,49,35,56,42,1,63,77,63,119,49,63,28,91,49,77,105,28,84,42,49,42,63,49,63,77,56,63,49,77,49,28,42,49,35,28,63,49,3,63,56,49,70,28,63,49,91,70,63,42,35,35,84,42,42,1,126,42,70,3,42,70,84,63,42,49,42,28,56,56,77,42,77,70,28,28,63,42,42,56,42,70,77,49,63,49,84,63,98,56,49,2,3,56,28,70,49,35,35,63,42,63,0,84,42,49,70,35,42,56,70,42,70,0,35,56,84,42,49,28,35,42,35,63,56,42,42,63,42,35,84,0,28,77,70,91,42,0,42,56,84,56,56,42,35,49,35,42,49,28,1,70,35,49,49,63,35,49,49,56,3,56,42,35,42,56,42,56,42,42,42,3,49,42,84,63,42,28,56,77,28,49,91,42,42,56,63,56,63,42,70,35,70,35,35,0,77,91,42,77,56,2,28,1,70,3,63,91,56,70,3,49,70,1,35,42,42,49,49,63,63,35,63,70,42,63,84,1,91,35,70,63,56,63,49,28,63,70,77,70,49,91,42,56,77,98,70,84,91,63,63,77,91,77,91,84,98,98,84,28,112,126,91,77,77,105,77,119,105,140,133,91,147,84,84,147,84,91,105,112,77,98,84,112,147,77,154,119,105,70,133,91,84,105,168,126,119,70,84,119,133,119,154,224,133,147,91,147,112,147,84,98,112,126,147,112,196,105,154,126,168,119,140,49,112,91,154,147,105,112,189,133,105,98,112,112,210,98,112,112,154,84,196,105,161,182,210,119,112,105,70,98,126,133,119,140,168,84,133,119,133,168,126,126,119,133,147,119,112,119,126,119,112,133,189,70,168,182,154,147,119,112,147,112,84,119,112,140,112,126,161,140,140,119,175,112,133,84,77,126,140,98,98,105,77,98,126,91,91,98,133,63,84,63,91,70,56,2,35,2,56,0,42,1,0,3,2,3,3,2,1,1,3,1,1,0,2,1,0,2,1,2,0,1,2,2,0,2,3,2,1,3,1,3,1,1,1,3,0,0,1,0,1,2,2,2,1,2,3,1,0,0,3,2,0,2,3,0,0,1]
[3,2,3,3,1,3,2,2,1,3,3,1,0,0,0,2,2,1,1,1,3,2,2,3,1,0,3,3,0,28,0,1,0,35,35,49,49,35,28,49,35,91,70,56,105,70,98,49,56,105,126,77,42,35,140,56,56,77,56,91,77,42,91,84,70,77,63,147,77,70,105,84,84,98,49,112,147,49,84,112,63,105,84,63,63,84,42,91,42,63,98,42,49,63,42,91,56,70,56,98,112,63,63,77,70,63,70,70,98,84,70,84,42,84,49,63,42,105,70,70,112,91,112,63,70,42,63,70,35,49,84,77,63,63,56,77,42,98,91,91,84,28,84,63,49,84,112,63,63,70,70,56,91,98,28,49,63,70,56,63,77,63,91,119,63,133,84,77,70,63,35,91,56,84,56,70,70,49,49,42,77,3,49,56,70,28,77,84,42,28,63,105,77,63,63,84,49,35,77,70,56,42,70,42,70,56,77,84,42,49,63,42,42,84,56,77,35,49,70,70,42,56,84,77,42,49,91,105,105,77,70,91,49,91,98,77,70,70,112,28,42,56,91,42,70,42,49,42,70,35,91,28,77,49,56,35,42,70,77,49,28,84,63,56,91,126,42,49,49,70,77,105,28,56,77,42,42,77,35,42,84,84,70,84,98,42,56,42,105,84,63,63,49,63,91,63,1,77,70,84,35,49,77,91,70,56,49,35,70,70,49,35,35,28,49,49,98,70,70,63,42,49,35,49,42,49,49,42,42,84,63,98,63,56,63,98,77,98,56,35,42,42,49,28,0,63,84,70,56,77,84,56,84,105,91,56,42,42,56,77,56,91,112,70,84,91,112,133,84,56,91,77,49,56,63,112,126,84,112,119,126,140,161,91,49,112,161,140,84,161,105,126,84,126,133,112,119,140,77,126,84,161,182,161,161,140,147,147,126,91,140,105,126,175,252,161,77,182,126,175,161,147,196,217,98,133,182,147,168,182,91,112,182,98,112,147,112,133,182,133,140,126,196,168,147,126,168,168,154,189,161,189,119,210,133,154,119,147,119,189,175,196,161,133,196,133,189,189,161,203,147,112,175,126,175,196,182,126,112,196,126,147,238,161,154,154,119,168,133,203,91,91,147,217,105,84,175,210,203,147,189,168,140,168,189,203,203,140,161,133,168,224,168,140,147,175,126,217,105,140,105,217,168,168,119,161,133,112,98,91,91,84,63,98,63,77,98,84,112,35,35,35,28,42,35,35,2,0,2,3,3,0,0,2,2,1,2,2,0,0,2,1,1,2,1,3,1,0,1,0,2,2,0,1,2,3,1,3,0,2,2,0,0,3,1,1,3,1,0,2,2,1,2,0,2,0,2,3,1,2]
[2,0,3,1,1,1,3,1,3,1,2,1,2,3,3,1,0,0,1,3,1,0,1,3,0,3,28,2,1,1,3,35,2,1,35,63,42,49,56,63,42,70,56,63,98,77,140,49,49,154,91,119,98,91,70,70,105,56,147,119,77,77,119,91,126,119,119,91,77,105,63,105,70,126,98,98,77,98,119,70,84,133,70,112,98,161,126,70,126,56,98,98,112,126,70,126,84,84,112,84,77,105,140,112,91,91,70,91,77,84,98,84,77,91,84,84,105,98,140,98,98,77,98,140,84,126,154,98,56,91,77,105,63,35,84,56,77,63,91,70,77,70,98,63,105,56,112,63,63,77,49,126,77,84,2,119,49,84,98,77,119,98,70,98,119,91,49,77,98,56,119,77,77,91,63,98,112,56,112,126,91,63,98,70,84,91,56,105,105,105,91,84,105,49,35,91,63,63,105,84,70,105,126,84,119,70,77,105,77,63,98,77,42,133,77,98,77,98,84,84,112,77,105,77,77,105,105,70,70,56,35,91,42,77,105,77,98,70,70,63,77,84,84,63,42,91,70,91,77,70,35,98,98,70,84,49,70,105,91,98,98,98,84,63,91,63,28,77,42,56,42,77,70,119,84,98,49,63,77,84,49,35,42,49,105,63,49,70,49,119,91,77,77,56,56,70,112,42,84,91,70,84,84,84,98,49,56,126,49,77,119,49,70,63,126,91,49,84,119,56,84,70,49,77,56,84,42,91,56,42,35,56,84,112,70,70,49,49,56,49,42,84,63,77,77,91,105,70,70,84,84,70,126,112,112,84,126,77,140,84,112,105,63,126,77,84,98,84,105,133,147,154,210,133,112,105,77,140,112,98,105,91,105,126,84,105,112,161,140,105,126,91,112,189,182,189,119,175,147,119,175,161,210,161,196,175,154,175,182,154,175,231,147,119,196,154,189,182,196,189,238,168,182,189,147,161,189,175,231,182,217,161,238,266,161,252,133,196,210,175,175,126,217,203,224,259,154,196,189,182,287,189,182,210,245,161,273,217,217,210,245,168,224,231,266,147,182,189,189,105,231,210,147,175,168,224,189,210,161,203,182,217,245,210,231,252,259,168,217,175,245,224,168,154,175,196,308,147,196,189,203,273,231,217,189,203,196,168,217,189,252,259,140,119,217,308,189,196,161,161,189,161,203,147,168,175,231,168,175,105,147,91,63,161,161,119,84,63,91,84,49,42,70,28,0,3,28,35,28,28,0,0,2,1,0,1,3,2,2,1,2,2,1,2,3,1,0,1,3,1,2,3,0,2,2,2,1,0,1,0,3,2,0,0,2,0,3,3,0,0,0,0,0,1,0,0,3,1,2,0]
[2,0,2,3,2,1,2,3,2,0,2,1,2,1,1,1,1,2,2,0,0,0,2,3,0,0,0,1,3,1,28,28,35,28,42,56,42,77,63,91,91,70,56,77,112,91,112,168,140,105,119,84,105,91,112,63,133,112,112,112,140,77,140,98,105,112,105,84,140,161,161,112,168,98,119,175,98,105,91,126,154,126,154,161,126,105,77,119,196,105,112,119,126,147,77,154,98,126,119,147,126,119,147,154,112,119,140,84,105,126,154,98,147,77,140,161,133,196,147,203,140,91,84,126,133,98,126,112,126,84,112,98,105,105,147,126,140,161,147,119,133,140,133,84,140,98,126,119,154,119,140,105,126,126,84,126,175,133,84,91,168,98,56,84,77,133,119,91,133,77,98,147,98,98,70,133,126,119,91,70,91,91,63,49,133,119,91,91,98,126,98,70,98,91,112,91,98,84,168,77,91,154,105,161,245,77,133,98,77,126,119,105,154,98,105,147,140,147,140,63,105,112,154,98,70,112,154,63,140,49,56,119,84,98,105,126,84,98,84,70,105,119,63,133,98,119,91,84,70,105,98,154,91,105,154,140,112,70,77,98,70,126,105,98,77,49,84,98,168,70,49,140,91,56,98,98,77,105,105,91,133,63,84,112,119,161,126,91,112,98,70,161,119,77,77,98,77,119,63,112,77,133,70,84,77,112,112,126,133,91,112,119,105,126,140,77,77,84,84,98,70,70,98,119,98,91,77,70,91,140,42,119,84,112,98,105,126,77,126,77,119,119,140,112,175,77,119,133,91,133,133,105,126,119,147,140,84,168,91,105,126,91,161,91,112,84,168,126,133,175,147,126,119,168,154,161,161,161,133,196,210,175,119,154,133,196,126,161,168,168,133,196,203,126,224,154,224,161,161,175,168,210,273,203,231,168,182,147,224,231,280,210,224,210,203,133,238,147,252,231,189,294,238,182,231,203,196,168,196,168,210,301,252,231,301,161,238,252,245,154,189,273,259,217,224,273,287,294,266,280,266,280,245,406,245,217,238,287,147,259,224,273,252,217,259,315,196,294,252,266,266,210,280,245,301,189,259,259,210,259,245,294,301,245,154,294,182,259,266,259,210,252,259,238,168,280,266,266,280,259,182,336,315,273,196,308,322,238,280,238,315,280,371,336,336,231,280,259,203,196,231,161,231,189,217,224,154,189,210,259,168,175,168,147,224,133,133,147,91,105,98,77,77,63,35,35,2,2,0,3,0,2,2,3,3,3,3,0,1,3,0,3,0,1,2,3,2,3,3,0,1,0,2,1,1,0,1,2,3,2,2,3,2,3,2,3,3,1,2,1,0,3,2,1,1,1,3,0,0,1]
[1,2,1,2,1,1,0,0,3,0,3,1,3,2,2,0,1,23,28,3,3,2,3,0,0,28,28,28,35,70,28,56,84,1,49,77,70,49,140,161,112,49,98,126,189,147,140,154,126,133,140,126,203,168,133,175,189,126,126,98,210,112,168,112,168,147,175,175,126,196,196,119,245,154,154,210,126,175,119,175,175,140,84,182,189,175,168,182,147,168,168,147,168,119,189,91,161,196,203,266,168,196,133,175,140,126,161,175,105,133,168,182,252,196,238,196,133,147,140,189,133,189,133,154,140,119,161,168,154,154,147,154,105,168,175,133,154,203,210,112,168,175,182,140,161,133,203,140,154,126,140,154,175,203,126,119,140,140,126,147,126,133,231,189,140,119,168,91,203,175,119,168,126,105,140,133,182,119,182,168,147,154,182,189,175,140,84,133,175,154,119,154,105,154,105,189,126,119,98,105,119,175,175,112,133,91,126,98,140,105,161,154,161,91,56,182,147,161,112,91,77,168,133,91,126,133,105,105,91,105,154,105,147,168,147,140,112,133,147,126,56,161,119,203,126,98,98,119,126,98,133,140,140,98,147,112,98,105,133,154,168,119,140,161,126,126,84,105,119,105,154,112,91,133,112,161,119,147,119,126,84,133,133,147,140,119,231,147,147,182,98,140,119,112,126,161,105,119,133,133,105,161,126,91,147,91,98,119,105,112,126,147,126,217,112,168,91,147,133,119,140,140,91,126,147,98,140,91,84,133,112,105,105,168,112,105,119,98,112,112,140,98,112,112,154,84,154,168,112,112,119,175,112,98,119,91,182,154,217,105,133,196,147,119,182,154,140,105,147,161,126,140,245,210,203,203,252,189,245,203,168,182,203,322,238,259,210,259,210,238,196,154,252,294,203,203,273,280,287,266,252,245,231,322,280,266,224,259,196,301,301,406,273,217,259,273,329,336,315,343,203,252,336,308,266,308,280,315,294,287,294,301,245,301,245,280,259,280,406,322,392,322,364,329,315,252,329,371,287,273,294,343,329,329,301,315,364,336,336,280,301,210,273,364,308,308,252,266,315,378,322,315,273,343,315,448,301,371,266,315,357,364,350,392,315,273,287,308,287,245,378,357,364,238,217,336,343,280,315,301,329,308,399,294,329,280,287,378,336,287,357,350,462,371,273,371,385,399,315,308,217,189,301,308,231,294,203,294,280,280,238,196,182,182,259,287,133,210,217,105,112,98,84,112,49,70,35,28,2,1,2,3,3,1,0,0,0,0,1,0,2,1,3,0,3,2,1,0,1,1,0,0,1,1,3,3,1,1,2,1,2,2,1,1,0,2,1,0,2,1,1,2,3,1,2,3,1,2,1,2]
[1,0,1,2,2,1,3,2,0,2,2,1,3,0,2,3,3,3,42,1,2,0,3,0,2,0,35,1,42,56,28,56,42,77,63,98,70,56,56,119,182,112,91,147,196,147,203,203,231,161,203,196,224,182,231,245,287,203,217,231,238,196,210,259,231,168,217,252,161,210,224,182,196,217,231,196,294,189,182,210,210,266,168,217,245,168,245,196,280,203,182,231,189,252,224,189,210,266,182,224,203,203,217,224,259,203,161,203,266,196,154,210,175,259,231,161,203,154,231,266,196,231,147,189,224,140,266,259,147,196,210,203,217,287,126,140,175,231,189,196,210,119,217,259,224,252,175,217,231,182,168,140,196,245,154,210,203,196,126,196,231,217,196,196,182,105,189,217,189,133,140,322,91,182,210,168,189,168,203,196,182,140,217,168,126,147,273,119,252,168,168,224,182,154,231,210,182,182,196,154,231,161,133,168,196,217,175,182,154,196,161,252,175,175,203,322,168,175,168,147,147,217,161,161,217,175,203,196,133,182,182,133,224,154,133,217,161,154,301,133,196,175,175,112,280,112,231,203,182,182,161,140,119,182,189,84,147,182,140,140,147,203,189,168,154,154,203,175,126,161,217,133,210,147,245,196,203,133,161,133,266,189,147,203,105,154,175,140,98,252,168,133,154,126,175,126,161,224,175,210,182,224,196,119,168,147,217,154,147,203,154,259,168,175,168,161,217,161,119,196,175,203,133,154,140,147,224,259,217,168,140,182,175,105,168,210,231,161,161,126,196,147,224,133,203,182,175,245,210,168,196,203,175,231,231,154,210,217,196,175,182,210,231,217,189,224,203,224,413,175,161,238,266,259,224,287,329,238,308,301,287,273,301,287,238,322,252,315,280,301,378,294,385,273,245,343,336,350,385,441,385,308,406,357,280,378,385,343,301,406,315,455,392,420,315,448,322,476,364,322,413,378,336,469,399,392,385,469,469,441,399,448,525,378,371,497,392,497,455,483,455,378,518,413,364,455,420,511,364,525,462,427,455,329,525,567,455,455,483,420,378,455,497,406,420,483,483,490,357,378,483,518,427,413,371,427,420,455,406,357,385,455,385,455,301,476,378,329,462,420,441,399,728,441,462,546,420,392,406,364,420,406,518,448,518,378,504,511,553,469,518,469,504,595,441,525,434,490,455,427,483,392,476,350,546,378,427,280,406,385,371,329,399,329,287,217,336,182,217,175,161,175,77,126,63,2,0,56,35,1,28,2,2,3,0,28,1,2,2,2,3,0,1,3,2,1,2,0,0,3,1,0,2,3,2,1,2,1,2,1,0,3,2,1,0,3,1,3,0,0,2,1,2,3,0,3,2,2,0,3]
[3,2,2,3,0,0,3,1,1,3,16,3,3,0,0,1,2,1,3,3,0,1,1,28,28,28,2,49,42,35,63,42,119,49,77,112,77,84,126,119,182,154,175,119,217,224,357,224,245,252,322,273,280,287,350,322,294,252,280,357,301,406,315,350,273,350,245,357,315,413,252,329,259,245,322,329,315,546,315,301,294,371,280,287,315,371,189,329,350,315,378,308,266,336,287,329,308,301,343,231,315,343,252,266,371,280,427,294,238,273,301,343,280,343,266,231,455,329,266,287,378,280,266,343,336,301,224,322,308,266,280,266,231,287,259,350,196,224,238,308,252,196,196,308,287,308,280,406,266,357,308,259,217,308,308,322,315,217,336,259,238,245,273,245,357,259,259,259,364,273,210,294,182,273,273,287,210,252,294,245,273,364,357,196,252,217,238,336,175,259,217,294,329,287,308,322,336,266,266,224,217,441,266,210,266,259,252,287,224,245,203,203,280,217,238,245,238,301,280,245,287,196,273,245,322,322,280,154,294,238,308,357,210,252,287,322,231,245,287,210,231,161,287,238,182,224,231,210,245,210,189,238,266,189,280,245,378,189,266,245,217,231,203,245,210,210,252,266,287,140,238,217,259,203,238,238,231,196,231,231,238,154,168,280,231,259,259,168,252,196,154,245,217,203,161,294,210,266,259,245,210,252,217,189,238,329,301,238,224,280,182,280,280,245,252,301,182,266,182,259,224,210,140,266,217,364,217,175,196,210,224,224,294,238,245,196,259,301,203,217,273,329,168,196,287,238,231,196,322,259,224,259,238,203,259,238,175,175,245,231,329,378,280,266,322,343,322,329,273,350,287,329,301,273,294,315,315,280,378,238,385,245,336,322,406,406,441,371,406,371,392,294,294,427,420,392,462,511,490,420,574,525,525,553,539,504,588,581,427,441,441,560,511,441,441,504,630,483,595,672,665,567,588,637,609,623,672,504,539,756,588,609,679,504,560,518,546,623,644,644,623,581,560,756,511,595,574,581,546,1071,532,567,581,623,581,693,609,616,707,560,546,784,595,672,567,679,581,742,630,623,665,679,630,693,714,637,553,700,819,679,560,595,693,539,637,665,658,539,518,434,630,602,616,623,560,469,644,616,644,637,546,686,672,686,609,742,798,707,714,805,693,749,707,959,721,784,721,525,693,693,602,665,609,665,518,567,553,581,427,539,399,476,399,441,420,308,357,322,308,301,133,238,175,56,56,63,1,3,42,1,3,0,2,2,1,2,0,2,1,0,3,2,1,1,2,0,2,1,2,0,3,1,2,0,3,0,0,1,1,0,2,0,1,0,3,0,3,2,3,3,0,3,0,3,2,1,3,1,1,0]
[2,0,1,1,1,1,0,2,1,3,1,1,2,2,2,1,3,1,3,3,2,1,35,42,35,3,42,70,35,77,77,77,84,196,105,112,175,231,175,287,252,343,315,301,511,371,420,434,441,434,490,462,525,434,490,518,497,371,476,553,399,434,434,441,441,532,504,462,371,497,413,427,511,420,420,483,455,518,476,455,469,448,483,462,539,490,483,448,378,399,413,371,427,448,392,497,399,511,413,546,483,518,420,434,392,448,539,364,399,371,441,483,441,287,553,406,329,392,462,511,357,448,476,385,469,511,413,553,455,427,343,364,406,364,392,357,420,420,427,378,392,350,434,448,448,315,329,371,385,350,378,420,301,371,245,343,308,700,371,357,469,378,448,455,392,329,462,385,385,434,357,427,301,350,343,364,441,301,434,420,406,504,322,322,364,315,294,378,371,336,406,357,420,329,357,413,399,364,448,350,525,399,378,371,357,427,455,483,504,476,427,483,371,385,343,336,364,413,455,364,308,420,371,350,378,315,476,329,371,329,427,322,385,455,315,371,441,469,350,399,371,350,357,280,364,364,406,385,385,343,294,357,371,294,385,413,350,343,322,322,343,357,364,357,343,280,420,280,322,273,406,413,434,287,266,364,357,308,308,280,266,651,350,329,357,336,350,315,294,385,266,308,308,350,378,364,301,371,364,385,336,322,294,294,371,343,336,336,364,329,259,399,280,322,336,357,350,336,301,357,329,378,371,357,378,378,350,315,350,287,294,266,280,322,385,322,336,273,406,329,413,385,350,322,378,371,336,315,357,434,371,357,343,385,448,392,322,364,469,343,413,301,245,385,427,343,385,476,350,434,399,539,378,448,427,483,378,525,567,539,532,504,441,504,427,413,448,406,539,455,665,574,574,658,749,672,763,637,658,574,735,707,588,770,742,742,1309,581,889,686,819,756,763,924,917,903,756,721,882,812,784,784,875,749,770,973,728,875,896,861,938,833,882,847,889,966,875,938,1022,896,826,833,833,875,889,987,840,735,742,826,994,833,805,903,980,1036,945,945,980,1190,1008,1106,980,749,1141,1113,994,980,1113,1022,1043,1141,987,1008,987,875,952,945,987,966,980,1029,1022,1085,994,945,903,833,903,854,770,945,931,735,728,952,861,910,1022,1071,805,1064,1155,1204,1365,1078,1043,1246,1540,1113,1141,1253,1162,1099,1155,1330,1155,833,1281,1267,1225,1183,973,994,756,959,861,987,763,826,1302,777,693,602,609,679,574,546,532,385,364,329,126,126,84,35,70,42,42,1,35,28,0,1,1,0,1,1,0,0,2,1,0,2,3,2,3,2,0,3,1,0,3,0,0,0,0,3,0,0,3,1,3,3,1,3,3,0,2,0,0,1,0,0,3,3,0,3,0,0]
[3,0,1,0,3,1,3,1,12,3,2,3,0,0,3,1,3,3,35,3,2,0,2,35,56,3,56,56,56,77,70,105,91,133,154,168,245,203,189,357,357,434,567,560,511,630,581,637,833,714,889,917,840,847,721,854,735,672,644,728,756,616,791,784,854,602,756,728,833,721,637,784,728,735,595,791,602,798,938,735,693,812,644,756,756,721,679,735,889,749,700,826,959,728,742,742,868,847,917,735,777,763,875,805,672,602,798,679,889,595,749,770,686,714,1197,714,812,791,735,749,665,665,819,798,735,644,679,714,616,567,728,700,721,840,714,644,721,658,721,651,623,553,749,700,581,560,665,658,784,525,539,651,679,602,581,658,658,616,644,462,560,567,721,826,420,658,791,679,721,581,546,693,693,595,511,637,658,651,679,546,637,665,630,595,595,595,581,497,847,462,721,924,714,637,560,525,658,805,581,602,637,623,511,602,560,546,763,763,581,490,602,672,644,588,532,483,616,658,637,651,658,658,609,581,644,553,483,637,525,518,525,602,679,595,532,630,637,609,896,455,595,609,651,546,476,581,707,567,574,518,721,504,441,539,511,574,707,644,581,644,735,560,504,490,595,546,511,574,532,602,651,441,609,567,609,588,609,504,455,560,455,665,532,420,518,511,546,469,441,658,399,623,483,455,490,567,588,714,567,567,567,504,644,567,595,483,546,497,560,511,693,637,518,532,567,644,511,546,532,490,497,525,476,420,588,581,644,497,546,518,588,553,546,539,483,581,490,385,483,630,525,532,637,553,567,728,581,497,455,553,595,665,490,602,630,616,721,504,700,476,539,588,1001,448,637,637,714,553,616,651,686,651,609,567,700,791,588,518,602,854,812,714,854,777,770,903,777,868,854,861,1008,973,840,882,973,994,1232,1085,1169,1036,1092,1337,1176,1253,1365,1246,1386,1302,1106,1225,1484,1470,1197,1330,1330,1435,1491,1491,1414,1547,1323,1638,1491,1477,1449,1547,1491,1505,1484,1505,1568,1561,1512,1568,1568,1680,1505,1561,1477,1512,1582,1631,1589,1484,1344,1526,1435,1575,1568,1778,1883,1393,1547,1477,1631,1687,1932,1694,1848,1813,1701,1925,1799,1638,1708,1680,1848,1561,1862,1708,1855,2016,1757,1778,1764,1638,1540,1897,1848,1771,1820,2100,1883,1932,1834,1834,2807,1673,1526,1505,1302,1414,1183,1232,1498,1491,1456,1491,1729,1939,1834,1939,1876,1897,2275,2135,2212,2219,2317,2401,2499,2296,2303,2233,2198,2219,2226,2079,2079,2205,2170,2044,1792,1505,1659,1708,1848,1701,1358,1456,1477,1344,1155,1134,1064,1218,1064,1029,924,1064,917,546,469,399,203,161,77,84,84,1,28,42,2,0,0,0,1,0,1,3,2,3,1,2,1,3,3,2,2,2,1,3,1,1,3,3,0,0,1,0,1,3,1,1,1,1,3,3,0,3,2,0,3,0,0,3,0,1,1,1]
[3,2,3,2,1,3,1,3,3,0,3,1,1,0,3,3,3,0,3,1,28,42,42,3,1,35,70,49,56,77,84,126,84,189,189,154,175,378,336,343,392,595,770,1211,1043,1358,1106,1155,1295,1659,1750,1330,1477,1589,1533,1512,1428,1442,1701,1624,1533,1393,1253,1519,1736,1610,1491,1323,1638,1568,1631,1988,1736,1463,1442,1162,1645,1512,1743,1386,1358,1337,1743,1470,1561,1582,1498,1771,1596,1631,1344,1414,1631,1624,1554,1372,1309,1379,1666,1435,1526,1386,1575,1575,1561,1484,1540,1477,1813,1386,1316,1197,1568,1694,1414,1337,1449,1652,1659,1414,1288,1232,1323,2219,1288,1351,1498,1323,1512,1337,1400,1414,1477,1148,1134,1260,1337,1477,1582,1246,1162,1400,1218,1435,1197,1316,1442,1519,1302,1232,1099,1442,1323,1323,1204,1113,1190,1393,1477,1148,1106,1309,1456,1169,1029,1176,1071,1463,1330,1015,1134,1323,1351,1302,1092,1197,1141,1218,1218,1120,1141,1344,1323,1190,1001,1134,1134,1379,1071,1127,1155,1204,1561,1274,1288,2191,1169,1358,1141,1001,1141,1211,1092,966,938,1057,1225,1330,1008,1064,1239,1449,1162,966,1085,1099,1064,1120,1085,1141,1239,1106,1078,868,1036,1274,1295,1288,1043,1015,1239,1183,1232,1078,966,1057,1260,1155,1022,1050,1001,1106,1232,847,882,966,1197,1106,1015,987,966,1190,1239,868,973,1036,1211,1232,1190,1022,1099,1372,1092,847,798,980,1099,1036,833,889,1092,1176,1141,966,868,1085,1029,994,1036,896,973,1050,994,889,980,938,973,987,910,819,1001,1085,1211,840,973,1036,1190,1092,875,896,882,1120,1092,861,1029,1022,1162,1134,1071,1008,1162,1050,959,1036,896,875,1001,1078,980,1456,1008,1253,875,819,875,896,973,840,861,819,1015,1008,819,945,861,931,1036,861,868,910,1113,1197,1078,1078,1162,1169,945,945,994,1085,1078,1099,980,1134,889,1232,1253,861,966,994,1239,1071,917,1050,1057,1064,1204,1036,1099,1008,1379,1134,1197,1106,1288,1407,1323,1246,1239,1197,1379,1575,1400,1232,1421,1701,1666,1771,1344,1533,1750,1820,1813,2114,1911,1981,2226,1995,2324,2128,2898,2744,2569,2436,2401,2919,2835,2758,2408,2604,2737,3171,2618,2611,2569,3325,3094,3178,2933,2835,2786,3136,3206,2975,3101,3304,3360,3437,3451,3199,3626,3934,3465,3402,3150,3234,3899,3493,3087,3129,3556,3535,3619,5474,3332,3570,3717,3591,3675,3766,3892,3801,3675,3290,3528,4144,4186,3892,3570,3647,3913,4249,3724,3500,3486,3920,4165,3689,4172,3927,4312,4382,4060,3640,3640,3871,3836,3668,3640,4053,4018,4326,3969,5054,3675,3906,3682,3150,2884,3080,3227,2772,2548,2555,3136,3297,3724,3437,3178,3780,4361,4627,4249,3822,4340,4746,5187,5026,4564,4627,5222,5796,5257,4291,4564,5425,5047,5306,4914,4375,4515,4935,4179,4130,4011,3815,3654,3787,3346,3129,3283,3409,2814,2394,2212,2338,2226,2023,1708,1841,1806,1869,1176,679,434,280,175,133,98,35,49,28,1,0,3,1,1,28,2,0,0,0,2,1,2,1,0,1,3,1,0,1,0,0,3,1,2,0,2,0,3,1,2,0,0,3,3,0,0,3,1,0,2,1,1,1,3,1,2,1]
[2,0,0,0,2,3,2,3,2,3,2,3,3,1,0,1,3,3,42,1,56,42,2,1,63,42,70,119,77,98,98,126,133,210,252,273,378,378,567,784,1050,1414,2065,2891,3171,2982,2828,2926,3675,3969,3402,2940,3283,4011,3808,3857,3241,3255,3696,4249,3451,3017,3220,3647,3759,3255,3164,3199,3619,4403,3381,3017,3304,4018,3598,3227,2961,3318,3773,3332,3136,2786,3290,4025,3689,3136,3150,3500,4130,3976,2919,3010,3206,3983,3535,3101,3157,3647,3815,3591,2849,3038,3521,3885,3493,3150,2877,3437,4109,3465,2772,2835,3367,3640,3906,2597,2758,3458,3724,3479,2709,2674,3507,3479,3178,2688,2856,3458,3437,3381,2744,2947,3486,3654,3444,2772,3010,3276,3738,2926,2408,2996,3451,3647,2758,2352,2625,3409,3710,2863,2149,2660,5607,2989,2338,2352,2975,3206,3031,3234,2520,2807,3500,2695,2345,2485,2933,3458,2926,2163,2443,2688,3066,2688,2548,2562,2968,2737,2688,2191,2975,3010,3122,2660,2317,2646,3199,3157,2667,2352,2548,3276,3269,2562,2380,2688,3654,3563,2590,2352,2632,2926,3507,2716,2576,2604,3199,3185,2758,2205,3157,2940,3045,2478,2205,2149,4228,3101,2359,2149,2779,2744,2933,2485,2380,2506,2947,2429,2184,2254,2338,3003,2772,2212,2100,2779,3094,2989,2212,2121,2226,3038,2821,2282,2177,2485,2660,2730,2149,1841,2569,2884,2548,2107,1960,2373,2884,2919,2324,2037,2408,2744,2653,2016,2191,2373,2723,2163,2044,1953,2863,2751,2961,1946,1862,4340,2653,2296,1974,2212,2478,2471,2352,1953,2226,2821,2541,1722,1715,1848,2485,2639,2198,1820,2163,2387,2324,2331,2086,2275,2954,2695,2296,1904,2338,2751,2667,2240,1876,2282,2744,2849,2121,1925,2079,2583,2590,1946,1904,2261,2415,2800,2107,1750,2002,2618,2737,1974,1596,1918,2520,2338,2016,1834,2114,2541,2457,2023,1960,2107,2716,2716,2163,2100,2212,2828,2639,2226,2023,2205,2611,2695,2037,2044,2310,2352,3066,2184,1967,2338,2492,2905,2177,1981,2219,2786,2828,2345,2261,2373,2975,3087,2499,2359,2646,2933,3276,2835,2485,2730,3325,3297,2940,2688,3178,3696,3892,3325,2856,3262,4011,4634,4242,3850,4312,5215,5418,5250,4872,4809,9359,5964,5299,4781,5530,6433,5803,5789,5222,5922,6251,6048,5803,5782,6139,7329,7280,6692,5894,5971,6958,7532,6790,6237,6685,7245,7329,6741,6643,6503,7651,7546,6958,6181,6839,7238,7490,7042,5992,6853,7798,7252,6818,6251,6937,7560,7686,7133,6566,6909,7973,7546,6713,6461,6909,8155,8316,7294,6937,6979,7399,7707,7056,6447,6804,7749,8232,7798,6573,7294,8792,8288,7322,7343,7105,7707,7623,6552,6699,7196,7602,8379,7392,6846,6594,7462,7777,6209,5775,5908,6293,5915,5278,5383,6139,7070,6986,6307,5894,7126,8281,8491,8463,7602,8008,9177,9212,8883,8316,8617,9289,9744,9415,9191,7854,8876,9562,9142,7889,8274,8400,9051,8190,6748,11424,7217,7427,6342,6111,5992,6811,6398,5040,4928,5103,5712,5313,4067,4102,4011,4151,3402,1946,812,441,252,168,112,35,35,3,3,3,0,0,1,3,3,1,3,3,2,0,1,2,2,3,1,3,2,2,2,0,1,1,3,2,3,0,2,2,2,0,0,1,3,1,1,3,3,1,2,3,1,0,2,1,2,2,1]
[1,2,2,0,1,1,2,1,2,2,1,3,1,2,1,2,1,0,2,2,3,56,56,42,84,56,84,91,168,98,147,147,133,189,210,392,413,742,805,1358,2562,3759,5495,9394,6727,5901,5285,6384,8995,6447,6006,6559,6972,8386,7490,5887,6279,6265,10528,6944,5922,6510,7098,8057,6587,6055,6230,7917,7980,6811,5565,6503,7168,7917,6503,6034,6594,7581,7364,6510,6412,6930,7511,7693,6461,6391,6923,7994,7686,6559,6594,6944,7924,6895,6195,5957,6748,7889,7546,5635,5768,6538,7553,7091,6405,6237,11788,7161,7945,5838,6335,6643,5992,5327,6090,6328,10136,5908,5152,5747,6643,7700,6090,7357,6048,9492,6300,5320,6181,6874,7490,6188,4599,7574,7189,7084,5873,5012,8239,6482,6146,4585,7574,5852,6461,6951,4767,5817,6293,7042,6916,4410,4277,6748,8708,4739,5089,5887,6272,5425,4564,4816,5593,6573,5817,4501,4774,5663,6251,5390,4522,5068,5131,6692,5649,4459,5432,5719,6279,5495,4690,5145,5999,6363,5453,4396,4627,8358,8141,4907,6748,6055,6391,6146,5152,4508,8533,6055,6818,4410,5887,5740,6006,6776,4823,6237,6594,5747,3976,4711,5894,6230,5488,4592,5145,5446,6552,5978,4130,6678,6174,5628,4921,4564,4746,8183,6769,4123,5936,5145,5915,4970,4417,4606,7315,7546,6111,4844,6139,5684,5390,4081,4536,5439,5684,5110,4053,4312,5299,5698,4928,4158,4375,5110,5999,5285,3766,4319,4550,5698,4697,4039,4445,5397,6223,5278,4249,4711,5327,5733,5166,4067,6020,5530,6097,4872,3066,4746,6027,5768,4200,3570,4060,7140,5628,4221,3724,4879,5677,5488,4368,4578,4571,6027,5677,3962,3780,4606,5278,5390,4858,4207,4991,6034,5110,4683,4130,5061,5502,5306,4256,4186,4620,6174,5194,4214,4088,4991,5544,5145,4032,3598,4606,5404,5733,2989,3640,4711,5565,5131,4004,3976,5145,5992,5362,4529,4389,5425,5803,5929,4424,4347,5054,5831,5509,4361,4298,4970,10024,4375,4599,4725,5964,6202,4088,4361,4774,5677,6251,4823,4648,4809,6139,6251,4928,4606,5530,6405,6517,5509,4823,5068,6559,6720,5467,5544,6013,7630,7896,6573,5621,7322,8708,9002,8127,7833,7938,8960,9212,9331,7966,8260,9702,8932,9037,9569,7868,9030,10521,13552,9289,9044,9863,10682,10073,9898,9478,10710,15582,10360,10892,9345,10619,16401,9499,10059,10549,11032,10976,14308,10297,11452,12859,14070,11599,11095,11011,11781,10906,9296,9842,14777,11690,10878,9779,10570,12026,11802,10290,9688,9905,11998,11578,10794,10227,10619,11956,12845,11844,11193,10787,12404,12957,11942,10542,10437,11879,12642,11746,10654,11655,12446,12852,11725,10766,10577,11711,12593,10885,10829,18032,12005,11844,11242,10143,10241,11627,10507,9765,9681,10486,10528,10031,9156,9485,10024,11977,11725,10521,10136,11515,14245,12789,11963,11032,12075,13846,13461,13489,12145,12852,20013,15029,12488,15911,13888,14098,18207,12061,11312,14140,13867,10675,10213,13776,10878,10787,9814,10003,9814,11627,9023,8708,8785,8645,9632,8393,7924,6706,7224,6006,4004,1729,777,301,168,77,84,28,0,3,3,35,2,3,1,1,0,0,1,0,0,3,2,2,3,2,1,1,0,2,1,0,0,1,2,2,0,2,2,2,2,0,1,0,3,2,0,3,1,3,3,3,3,1,3,2,3,2,1,0,1,0,0,2,1,2,0,0,1]
[3,2,3,3,2,2,1,0,1,2,1,2,0,3,2,2,0,19,0,0,42,0,35,63,28,56,77,49,84,84,168,133,154,224,196,364,434,469,595,903,1687,2744,4914,6531,8274,10241,10297,8673,9058,8407,11669,17360,9877,9100,9604,11802,9842,9135,8778,11032,11445,9709,9268,9184,10311,11550,9758,9296,9121,15197,10584,9527,7980,9632,11760,10787,9016,8841,9583,11172,10724,10521,9163,9464,12677,9233,8890,12607,12040,10332,13265,8631,9233,11578,10871,9842,8757,9149,11207,9947,10521,8918,9751,10913,9947,8757,8687,9492,10528,9702,8939,7749,8876,11130,8988,8939,8841,10003,11291,8946,8015,11389,9436,10346,8904,8316,8645,10234,10213,8981,8680,8589,9968,9632,8624,7609,8743,10822,9723,7910,8428,8883,10122,10052,8379,7532,8414,9814,9366,8260,8169,8015,9681,9499,8148,7938,7756,9646,9786,7770,8001,7462,9443,9163,7791,7574,7532,9744,9317,8050,8316,7525,8736,9198,7749,12495,9499,9009,7875,7336,7623,8778,9569,7630,7973,7679,8561,10619,7287,7756,7777,9275,10045,8092,7413,7980,9240,10423,8449,7910,8197,9254,9835,7280,7287,6839,9044,9667,7588,8085,7658,9261,8988,7700,8239,7833,9149,9758,7693,7378,7875,8981,9968,7560,7707,7476,9044,9478,8113,7553,7938,12103,8638,7511,7021,7672,9492,8365,9247,7574,8491,9289,7826,7154,7112,8519,9982,7560,9891,7588,7721,11347,6762,7014,12915,8190,6790,7105,7175,8176,11865,6790,5999,9646,8393,7469,6832,7462,6433,9198,8484,6909,7385,7903,8806,7847,6146,6230,10815,7875,9387,9891,7084,8743,7392,6629,6601,7623,8393,7644,6559,6916,7364,8771,8169,10766,6769,8631,8652,7035,7196,6965,7973,8540,6293,6874,7231,8624,8568,5957,6671,6930,10787,8330,6405,7294,7196,8750,8190,6216,9884,7560,8484,5551,8624,7238,7959,8295,5964,9184,5992,8743,8001,6146,8974,7658,8449,7483,6762,7441,8176,9674,6825,6804,9716,8113,9247,6713,6860,7245,8792,9289,6629,7392,7595,8960,12061,5922,10115,8680,9702,7896,6874,7420,8652,10262,8127,7427,8288,8736,10318,8799,7497,8470,9338,10031,8253,8470,9100,10262,12222,9667,9681,9954,11739,13496,11627,10752,10878,11928,14721,13797,12320,11326,12817,14322,14378,12999,11200,12579,15386,15148,13083,14154,15855,15540,13825,14119,12607,14469,16898,22330,17983,13636,17010,21686,15365,22162,16548,16807,15554,13615,14560,16639,17101,16366,14511,13272,16345,16905,16527,14238,13664,17052,16555,16275,13923,13657,16716,16667,15155,14091,14490,17500,18137,16401,14665,13342,17136,16758,16527,14196,14434,16408,18039,15918,14770,14490,17493,17346,16163,13615,14910,17619,18410,16982,14560,13237,16149,16149,17052,13972,14357,15659,17661,15953,14406,13825,15106,16534,14791,12670,13524,16177,15155,14798,12586,12838,15946,16338,15134,13818,14497,16618,18550,17864,15659,14280,17696,19712,18865,16506,15393,17409,19838,19201,15820,13706,17675,18662,18529,16961,14889,15967,18641,17507,17185,11137,14336,16205,15750,13783,12264,12817,14966,13482,12649,11095,12845,12740,11494,10171,9107,8498,7217,4578,2163,868,504,280,182,119,42,1,3,1,0,3,42,2,0,2,1,3,2,0,3,0,3,3,1,0,1,1,0,3,1,1,3,1,1,3,0,2,3,1,0,0,3,0,3,1,0,3,3,3,0,0,2,1,1,1,3,3,0,3,3,0,0,1]
[1,3,2,2,0,0,1,3,2,0,0,1,1,0,0,25,1,0,3,42,42,56,63,77,49,112,70,77,112,133,140,182,168,238,287,462,567,749,1008,1596,2821,5068,8764,10948,11809,10164,10108,10115,11851,11662,10045,9856,10605,11683,12425,10402,9807,10542,12334,11522,10892,9709,10647,12803,11725,10549,10304,11452,12852,12110,10493,9849,10430,16254,11599,9674,10472,11466,12362,11305,10115,9870,12334,12866,10997,10304,10031,11998,12425,11361,9933,9457,11718,11914,10801,9639,10892,11774,12061,10423,9191,10668,11648,11333,10234,9401,10689,11795,12320,10178,8722,10164,11802,11466,9639,8995,9954,12019,11046,9555,9471,10206,10969,11088,15225,9919,11690,10752,9464,8939,9863,11613,11592,9051,8792,9212,10717,11179,8932,8001,9275,11900,11298,8778,8421,9009,11116,10451,9597,7749,8841,10409,10808,8477,8092,9142,11144,10654,8295,7469,9212,10472,10171,8869,8029,8638,10836,9443,8848,8001,9415,10857,9233,8141,7714,8736,10164,9800,8036,7539,8960,10724,10234,8344,7455,8883,10955,9779,7882,7357,8869,9919,10437,8505,7784,8687,9821,9940,8393,8015,9310,10612,10416,8659,7224,8974,9989,10192,8260,7602,8911,10024,9828,8218,7609,8988,10367,10661,8211,7378,8372,10801,10213,8610,7035,9289,10899,10003,8512,8106,9331,10836,9009,7798,7070,8169,10115,10094,7637,6846,8862,10304,9814,7812,7742,8995,9849,9891,13055,6713,9562,10010,8288,6930,8015,9919,9863,7840,6979,8428,9814,9471,8533,6972,7490,9121,8995,7826,6951,8029,9898,9275,8106,7154,7707,10241,9961,7560,6531,6993,8134,8995,7511,6447,7560,9989,10206,7651,6342,7966,9156,9205,7910,6895,7952,10206,9891,8134,6804,7434,9163,9338,8554,7287,7616,9541,9744,7399,6909,7532,9478,9716,7644,6748,7336,8967,9226,7497,6566,7518,8995,9093,8351,6986,7700,8687,9639,7203,5887,7490,8876,9191,7217,6202,7049,9128,8442,7539,6748,6972,9240,8827,7693,6762,7595,8925,9366,7630,6825,7938,10052,9590,7609,6734,7007,9422,10185,8113,6944,7805,9814,10122,7469,6713,8253,10402,10766,7518,7644,8617,10388,10857,8974,12943,10080,10570,9842,8141,8106,10185,11382,9366,8274,9457,10906,12327,11375,9156,9786,13062,14413,12033,11690,11746,14049,14686,14560,12397,12600,13496,15890,13671,12838,13741,14448,16415,14413,13517,12572,14623,15883,15442,14833,14147,15141,16499,16709,14987,15631,16485,18116,16317,15085,14882,15904,17220,15981,16996,15575,17262,17549,16681,15876,16009,16807,19166,17710,16135,17031,16429,18326,16359,16002,15344,15813,17094,15981,16345,15393,16135,17801,17836,16856,15715,17094,19117,17745,17234,16177,17486,19180,17521,17976,15799,17346,18375,18760,16590,16401,16723,17878,17374,17143,17486,17416,18886,18361,16870,16079,16814,18501,17388,16723,15834,16009,17878,17192,14581,14560,14791,16415,15722,14175,13755,15673,16996,16296,26208,15715,16856,17885,18669,16891,17339,19817,21154,19215,18655,18536,19971,21091,20706,19614,18403,19887,20692,20167,18991,18907,19712,19978,19229,17717,16590,17199,19033,15617,15806,14840,15568,16863,15169,13860,13300,14126,15596,12607,11305,11711,11760,11263,7798,5509,2254,1281,714,357,196,140,126,42,49,56,28,28,0,1,0,0,28,0,0,1,1,2,2,3,3,0,0,2,3,0,3,1,1,2,2,0,0,1,1,2,1,2,0,1,1,2,2,0,0,3,1,2,0,0,1,1,1]
[2,0,1,1,1,0,0,3,0,0,2,3,1,0,1,1,1,1,3,42,70,2,49,63,28,77,112,105,70,112,133,112,161,301,294,469,623,693,1155,1428,1862,3178,4893,7651,8904,7588,6846,7532,8561,9415,8036,7406,7553,9023,10136,7994,7091,7924,9016,9520,8183,7364,7203,8666,9660,7861,7294,7917,9254,9702,8610,7203,7763,8967,8631,7385,6818,8120,9142,8862,7553,13027,8995,9800,7938,7973,7476,9345,9548,8610,7028,7462,8288,9310,7826,7413,8162,8778,9401,7427,7511,7826,9002,9317,7546,6440,7420,9450,8554,7749,6265,7168,7966,8862,7126,6720,7336,8750,8456,6832,6727,6601,8365,8666,7042,6517,7119,8547,8162,6678,6454,6986,8680,7861,6440,5845,6699,8274,8379,6237,6391,6475,8155,8015,6685,5551,6664,7966,7420,5992,5845,6818,7581,7385,6342,6055,6853,7910,7077,5901,5250,6027,7049,6608,5628,6048,6944,7315,7077,5789,6216,6825,7357,7805,5418,5488,6328,7637,6860,5474,5229,6377,7238,6797,5586,5803,7266,7497,7119,5117,5607,6461,7350,6776,5600,5495,6069,7623,6993,6286,5845,6874,7854,7154,5250,9632,7140,7434,5789,5544,6027,7049,7602,6125,5061,6153,7770,7140,5894,5439,6090,7651,7875,5887,5355,6209,7658,7763,5635,5089,6013,7917,7700,5845,4984,5698,7854,7350,5502,5180,5978,7021,6741,5376,5285,6503,7532,6930,5383,4984,5992,7098,6587,5593,5068,5663,6874,6594,5656,4690,5873,7035,6643,5572,5005,5810,7000,6664,4928,4263,5530,7035,6552,5243,4711,5817,7483,7266,5047,4319,5439,6209,5880,4739,4298,5488,7245,6769,5054,4767,5229,7126,6594,5131,5271,5376,6678,6839,5502,4788,5754,6986,6475,5243,4613,5628,6818,6454,5082,4809,5593,6965,6412,4473,4662,5313,6468,6692,4879,4858,5292,6797,6685,5243,4599,5593,6944,6559,4641,7602,6006,5726,5012,4375,4760,6153,6475,4914,4501,5026,6475,6391,4900,4452,4592,6125,6881,5075,4557,5222,6174,7406,5642,4872,5194,6671,6776,5684,4760,5537,6678,7203,6524,5019,5747,7063,7574,6531,5936,6762,7693,8673,7273,6139,6475,7651,8190,7504,7042,6748,8274,8967,7749,7525,7903,8757,10633,8414,7987,8638,10759,11270,9716,9667,10339,11921,12012,11417,9527,11214,11984,13811,12523,10885,11102,12936,13657,12229,10689,11403,13118,13741,12663,11144,11844,13713,14931,13279,12173,12467,14679,15351,13713,12607,11830,14224,15183,13363,12404,13223,14441,15897,15253,12215,13720,14504,16261,14735,12299,13818,14602,16345,15204,12635,12663,14427,15806,14196,12971,12502,14924,15631,15414,13475,24262,16779,15652,14245,13489,15085,17892,16240,14539,14238,14756,15883,16261,14504,13818,17318,13293,15918,13776,14105,15736,16639,16639,13979,13867,14371,16100,16709,14112,13993,14035,15218,15862,13279,12075,12747,14525,13517,11711,11116,12460,15239,14588,12551,12866,14203,16128,17556,15330,15078,15659,19481,18732,16506,16828,16569,18949,18620,18172,16863,16779,19180,19425,17955,16478,16352,17094,19278,16471,14882,14308,15953,16121,13335,11767,12887,14364,14903,12523,10024,10591,12348,12803,10248,8400,9548,11375,9464,6468,3822,2233,1064,609,357,189,189,126,77,42,56,35,3,3,3,0,1,3,1,1,0,1,1,3,0,3,3,0,3,1,3,0,0,2,2,1,0,0,3,2,0,0,2,0,3,2,1,3,1,1,3,3,2,3,1,0,1]
[3,1,2,3,2,3,1,2,3,3,3,3,0,2,0,0,1,1,3,1,35,49,2,56,84,49,84,126,119,126,147,210,245,210,364,420,665,721,1988,2051,2779,3906,5663,7385,8043,8141,7126,7196,8274,8554,8540,6888,7168,8484,8113,8582,7616,7581,8253,8974,7959,7147,7518,8792,9030,8792,7154,7910,9037,8722,8904,7560,7714,8190,8897,8169,7126,7777,8778,8568,8589,7959,7749,9058,8680,8561,6804,8379,9177,8876,8484,7070,7798,8456,8386,8043,7000,7497,8820,8729,8393,7665,7672,8414,8120,7588,6622,7917,7987,8673,7182,6839,7427,8169,8869,7238,7392,7784,7714,8162,7448,6881,7721,7917,8057,7161,6615,7056,8071,7742,6622,6307,7455,7469,7966,6790,6531,6538,7854,7532,6692,6055,6853,7406,8050,6447,6069,7084,7196,6916,6272,6237,6678,6958,6965,5971,5565,6559,7476,7217,5936,5103,6601,10927,6174,5740,6314,6741,7000,5936,5621,6125,6944,6986,6209,5488,5789,6720,6335,5866,5565,5649,6433,6566,5726,5313,6139,6636,6062,5677,5390,6153,6314,6090,5901,5411,6594,6629,7070,6167,5516,6104,6629,6510,5628,5334,5614,6776,6510,5677,5586,6461,6629,6482,5453,5334,6384,6881,6496,5992,5355,6048,6426,6335,5320,5425,5978,6853,6475,5635,5026,5516,6083,6314,5383,5138,5789,6132,6342,4949,5208,5663,6531,6237,4823,4935,5908,6160,6251,4970,4620,5992,5908,6321,5180,5089,5320,6811,5838,5117,4739,5880,6069,5922,4998,4648,5047,5523,5859,4382,4424,5152,5572,5936,4746,4508,5579,6181,5733,4592,4151,5320,5502,5075,4445,4354,5817,9730,4746,4312,5362,5558,5593,4977,4613,5243,5747,5691,4424,4340,5278,6083,5138,5362,4676,5145,5985,5754,4963,4592,5376,5677,5460,4697,4249,5320,6237,5782,5026,4312,5110,6153,5880,5061,4277,5096,5404,5467,4361,4256,5012,4907,5173,4333,4137,5341,5299,5180,4298,4200,5040,5558,5558,4284,4312,4872,5579,5201,4459,4641,5432,5418,5488,4361,4438,5810,6279,5782,5131,4564,6048,6314,6258,5670,5600,7476,7952,8771,7399,6839,8673,9345,9310,8498,8001,8463,9562,9429,8533,8253,9793,10451,9688,9387,8659,10220,10234,10696,11501,9891,11501,11921,12103,11270,10584,11837,13188,13069,12425,11536,12733,14196,13139,12614,11536,12495,13986,13328,12257,11921,12313,22596,13195,12348,11907,14630,14434,14182,12747,13181,14658,15428,14630,12180,12334,15358,14847,14714,13762,13524,15295,16009,15008,13237,13776,15939,16303,13909,13398,13965,15442,15449,14651,13678,12971,15568,15827,15092,13951,14175,15295,16065,15225,14665,13881,16562,17269,16352,15442,14574,16975,17290,16597,15295,14861,16135,17255,16303,15078,14371,17633,16373,15624,14665,14021,16156,17073,15232,15022,14917,16247,15372,15449,14924,14616,15596,16198,14826,14042,12733,15379,15330,12390,12292,12579,13265,14119,13125,13216,12922,15309,16387,15442,15617,15428,24423,19047,18067,17570,17542,19915,17549,18319,18424,17563,20335,19488,18648,17381,17927,18466,17717,16366,14448,14399,15533,15414,13580,12656,12222,14371,14168,12474,11074,10969,19579,11872,9240,8253,9751,9478,7126,5236,2338,1183,602,364,154,168,126,84,42,42,42,2,3,1,35,1,3,2,2,0,0,2,3,0,1,1,3,0,0,0,1,3,0,3,0,0,1,1,1,3,3,3,2,2,0,1,0,1,3,0,2,3,1,3,2,3,0]
[1,0,2,2,2,2,2,3,2,0,2,0,3,0,0,28,1,35,28,3,3,35,42,49,42,2,91,70,126,105,147,210,210,224,420,448,525,875,1092,1505,1925,3262,5257,7511,10038,12530,12915,9597,9541,11277,11088,12180,9002,10199,11270,12530,11781,8967,9555,11284,12586,11543,10017,10115,11823,12082,11627,9695,10976,11382,12747,11599,9660,10731,11550,12271,10829,9604,10213,12565,12677,11816,9940,10416,12390,13174,11571,8722,11200,12194,12985,10850,8617,10661,11249,12397,11025,8806,11018,11459,12733,10619,9548,11067,11858,11494,9660,9093,11585,10857,12194,10129,9184,10430,11249,12271,10430,9142,10885,11410,18074,8400,10521,11200,12103,9646,8862,10101,10682,10997,9982,8288,10192,10451,11669,9611,8323,9149,10143,11627,9807,8673,9961,10857,11732,9471,8316,10157,10101,12026,9660,7728,9772,10458,10976,8652,7434,9527,10703,10899,8890,7126,9317,9793,10752,8309,7518,9541,10710,10913,8596,7980,9205,10682,10262,8498,7119,9436,10304,10381,8211,7434,9016,10276,11214,8085,7847,9478,9926,10696,8344,7462,9562,10024,10311,7728,7469,9667,9751,11214,7875,7700,9688,9814,10857,8211,7581,8834,10115,9821,8043,7336,10094,9555,10150,7294,7455,9709,10220,10353,7658,7658,9996,10115,10038,8113,7588,9261,10108,9583,7343,7049,9037,9877,9982,7245,7063,9163,10577,9499,7441,7084,9135,10199,15050,6951,8519,9723,9779,7623,6440,8288,8974,9821,7483,6482,7980,9317,9338,8323,6853,8169,8631,10136,8113,6405,8715,9233,9408,6601,6377,7602,8841,9268,6524,6013,7896,10227,9170,7140,6237,8113,8414,8855,6874,5789,8015,8463,8792,6566,6244,8162,9191,9450,6874,6167,8232,9352,9226,6440,6006,8575,9009,8351,6629,6475,8043,8750,8449,6524,5880,8267,8988,8855,6930,6083,8855,9800,9065,7063,6559,8442,9296,9387,6839,6125,8827,9079,8876,6713,6167,7826,8309,8624,6559,5992,8064,9016,8897,6720,6573,7882,9051,9009,7140,6349,7833,9534,8211,6181,6230,8204,9338,9002,7035,6307,8848,10507,8792,6986,7126,8967,9779,10808,8043,8372,9856,11662,20216,10108,11956,11886,13027,12698,11893,11221,11844,13622,13307,11634,11900,13321,14147,14609,12936,13335,13769,15729,15736,12663,13524,14406,16737,17122,14987,13804,15729,16499,17395,15519,15225,16359,18270,18256,15946,15057,15596,17101,16765,15645,15092,15764,17500,18725,14966,15729,16310,17969,19250,16268,16996,16093,17563,19460,15743,17003,16233,18984,18886,16359,17416,17710,18865,20251,17108,16919,17094,19481,18732,17815,17724,17703,19320,18956,17885,16527,16184,18403,19404,16765,17374,17304,18914,20370,18634,18179,18074,19593,20678,17542,17843,17290,20055,20643,17045,17010,17878,19831,21588,16247,18046,17493,19761,19901,17668,17633,17605,19411,20223,17458,17402,16870,20202,19733,18704,18501,16758,18025,19635,17073,16849,16590,17437,28686,15547,16275,17857,18830,16765,16114,16968,18025,21560,18781,18284,18102,19600,22645,21581,19782,19201,20489,23289,21420,21294,19397,20097,22687,21868,19712,18788,18746,21504,18711,17080,17675,17234,19152,16639,15365,15246,15162,17465,16030,14238,14280,13559,14147,12474,11641,12152,10059,8715,5845,2947,1470,686,343,231,133,133,84,70,84,28,0,0,0,2,1,3,3,1,1,3,1,2,3,3,1,0,2,0,1,2,0,3,3,0,0,1,1,3,0,0,3,3,3,2,0,0,1,3,2,1,2,1,0,0,3]
[0,1,1,2,1,3,0,3,2,1,2,2,2,2,0,0,2,35,3,28,35,63,70,63,84,112,91,84,154,140,112,196,224,315,392,392,679,658,1050,1239,1771,2625,4396,7623,9429,11592,12705,12544,10612,10689,11942,13034,11060,10500,11123,11767,12712,11984,10465,10759,12313,13279,11242,10094,10535,11900,13720,10941,10752,10934,11788,13524,11354,10808,11291,13006,13573,18032,10997,11760,13216,11739,10486,11466,11634,13636,11375,10724,10661,11655,12488,11753,10304,10913,11935,13139,10759,9443,10808,11963,12712,11235,10444,10976,11872,13328,10220,10297,11088,12278,12341,10906,9870,10038,11879,12999,9737,10388,10878,11508,12173,10136,10171,10451,12257,12376,9387,9891,10885,12257,10927,9352,9373,10388,11543,11879,9828,10388,11123,11907,11627,8792,10311,10759,11802,11676,9233,9009,10010,10864,11508,8876,8813,10416,11487,10675,8589,8715,9744,11144,10745,8393,9681,9667,11081,10010,8078,9023,10199,11088,10556,8260,8533,10507,11914,10486,8806,9429,10220,11242,10864,8281,9660,10535,11354,11004,8113,8519,9786,10906,10766,8281,9107,10731,10605,9919,8484,8848,10927,11662,10192,14763,9716,10745,10871,8400,9247,9541,11088,10969,8638,8701,9618,11277,11263,8232,8890,10087,10647,10024,8015,8757,10178,10773,10675,8288,8918,9604,10829,10178,8407,8848,9968,10409,9947,8162,8302,8869,10766,9562,7777,8750,10164,10836,10514,7595,7763,9849,10255,9345,7609,8197,9632,10409,9856,7952,8134,9548,10276,9590,7609,8113,8925,10248,9198,7252,8946,10087,10010,9387,7448,8029,8904,9828,8449,7567,7721,9765,10066,9212,6902,8106,8967,9688,8085,7042,7700,9303,9338,8050,7154,8211,9898,10332,8715,6566,8337,9933,10059,8862,6909,8127,9884,10388,8666,7168,8162,9338,9877,8582,6853,8680,9212,10339,8736,7168,8015,9086,10983,8064,6503,7819,8862,10311,8267,7014,14938,9520,9632,7434,7420,8883,9240,8862,6559,7042,8463,10234,9177,6923,7784,8491,9625,9324,7035,7770,8428,9933,8638,7294,7714,8659,10080,8974,6797,7952,8925,10640,9471,7336,8463,9310,11907,11158,9296,9933,11424,14126,13601,11956,12166,12831,14014,14994,12586,13118,12957,15449,15050,12978,12684,14140,14259,15736,13888,13769,14294,15015,16142,14630,14063,14658,16212,16534,15232,13720,14623,16485,16898,15939,15218,15960,16471,17829,16359,15400,15813,16422,17766,15841,15120,16177,16100,16408,16205,14875,16079,17514,18018,16884,15736,15827,17808,17486,16772,15932,16254,17528,18830,17437,14665,16814,17878,18522,17864,16632,17108,18242,18928,17101,16814,16674,17780,18270,17171,16513,16072,16835,18669,18508,26453,17647,18893,18074,16072,16415,18340,18949,19425,16653,16513,17997,20034,18354,16758,16261,17598,18522,19404,17528,16786,17843,19292,18907,17948,17066,17780,19278,19159,16975,17017,17717,19726,18837,17339,17913,17066,18697,19936,16485,17038,17192,18613,16170,16317,15554,17269,18662,15764,16135,15631,17822,18620,18760,18319,17738,18592,20811,21931,19824,19180,26600,20349,22498,19908,19089,19775,21623,21084,20972,17906,18515,19383,18676,17094,16142,16499,17920,15428,14966,14588,15309,15841,16765,14245,13307,14140,13482,12663,12369,11760,10640,7819,6223,3143,1379,644,399,266,147,112,70,49,63,2,2,3,3,1,3,2,1,0,2,2,3,2,1,1,3,0,3,3,3,1,2,3,1,3,2,1,3,0,0,3,3,0,0,0,1,0,2,3,1,1,2,1,3,0,1]
[3,0,2,0,2,1,1,3,1,1,1,2,2,2,3,2,17,35,35,49,63,28,28,56,42,91,84,119,140,182,133,210,280,259,595,588,770,1001,1155,1638,2506,3570,5691,8029,10472,10766,8316,8365,9289,10745,10647,8442,8176,9373,10318,9786,7686,7630,9807,10794,10108,8162,8582,9177,11116,9898,7756,7938,9506,11242,9541,8456,8512,10605,11592,10115,7637,7917,10129,12152,12180,7399,8085,10451,10311,9086,8078,8190,10822,10535,7721,7623,8876,10332,10087,8498,7798,8288,10325,9401,8183,7742,9163,10675,10080,8225,7406,8925,10507,10101,7924,7098,9576,9079,10262,8064,6951,8561,10262,9177,7406,6972,8386,10199,9380,7210,7329,8715,9709,8869,6846,7175,7868,9625,9604,5901,6909,8407,10906,8666,7182,7427,8981,9814,8484,6909,6370,8008,9527,7994,6272,6433,8267,9926,7630,5733,6356,7644,14490,6356,5929,7798,8946,8239,6104,5719,7315,9058,8071,6090,5985,7021,9429,8162,6517,6349,7861,9023,8197,5747,6076,8001,9254,8127,6713,6426,7196,9569,8176,6202,5999,7420,9086,7602,6496,6258,7504,9506,7721,6566,5677,8134,8652,7889,6139,5943,7224,8505,7826,5915,6006,8015,8344,8120,6083,6433,7000,9023,7805,6041,5922,7385,8995,7602,5929,5824,7560,8932,7840,5936,6076,7147,8225,7245,5334,5600,7357,8120,7231,5425,6041,7497,8806,7623,5838,5614,6972,8120,6678,5446,5733,6881,7861,6699,5369,5950,7329,8015,7420,5320,5593,7371,8036,6426,5075,6237,7567,8372,6195,5467,5621,7238,7854,6321,5194,5684,7448,7350,6377,5180,5530,7175,7420,9919,5208,6216,7301,7329,5460,5425,6825,8260,7007,5194,5530,6426,8057,7259,4830,5439,6524,8015,6797,5236,5621,6468,8050,7140,5173,5229,6482,7994,6839,5397,5782,6419,8029,6776,4781,4977,6440,7084,6783,5383,5418,6636,7966,6552,5390,5495,6825,7525,6461,4991,4844,6412,7532,6671,5222,4599,6167,7378,7119,5208,5474,6419,7938,7000,5033,5684,6601,7217,6748,4949,5138,6328,7728,7035,5495,5488,7147,8358,7616,7161,8295,10248,11865,11186,9548,9842,12530,13069,12026,10528,10661,12838,13524,12124,11032,10738,12397,14371,12894,10955,12439,13720,14336,12929,11179,12201,12985,15393,12957,12306,11823,13965,14973,14168,12117,12789,14196,14476,14574,12677,13314,14749,16002,23709,12439,13538,15519,15190,13496,12992,14098,16065,15764,13783,13727,14602,16261,15967,13440,13510,14658,15659,16415,13993,13104,14931,16408,16989,14945,13685,14420,16933,16107,14406,14385,14441,16541,16597,14427,14336,14812,16268,16450,14854,14189,14714,16744,16814,14294,14539,16142,17017,17409,16030,14833,15736,17654,16891,15743,14826,15750,17500,17549,15456,16044,16240,16905,16779,15099,14812,15127,17451,16618,15883,14910,15351,17255,17724,14973,14784,16821,17052,17017,15302,14350,14273,17577,15358,13860,11802,14105,14532,14399,13839,12719,14875,15869,16877,15442,14616,15911,18109,18900,16702,16856,17066,19152,19348,17157,17318,18214,18739,20125,19229,17388,17178,18543,18711,15925,14105,14630,15862,14336,12768,11361,12376,14105,24024,11627,10948,13447,13986,12299,9765,9387,10808,11403,8232,4984,2779,1323,651,420,210,182,105,70,77,1,28,35,28,42,3,3,0,1,2,2,1,2,1,1,0,3,0,3,0,0,0,2,2,0,2,0,2,0,0,1,2,2,0,0,3,3,2,1,2,2,0,2,3,2,2,3,1]
[3,3,3,2,2,0,2,3,3,0,2,2,1,2,3,28,3,0,28,42,35,70,49,49,77,105,77,196,147,161,238,196,273,252,385,441,658,742,973,1246,1820,2429,3157,5068,7007,8211,7231,6671,6258,7483,7917,7007,5768,6538,6860,7938,7049,6293,6377,7476,8148,6930,6496,6839,7784,8253,6769,6503,6314,7973,8134,6762,6335,6223,7672,8036,6986,6104,6097,8071,8001,6762,5712,6559,7994,7931,6538,5768,6895,7812,7483,6594,6209,6545,7560,7574,6279,5796,6776,7840,7210,6629,5740,6125,7182,7084,6083,5775,6489,7406,7343,5698,5306,5992,7686,6860,10031,6426,7014,6755,5810,5411,5607,7427,6636,6090,4991,5691,6846,6461,5747,4935,5572,6832,6979,5817,5341,6349,7476,7042,5985,5264,5922,6293,6370,5600,5082,5481,6776,6678,5012,4564,5782,6685,6321,4900,4620,5194,6027,6335,4984,4655,5173,6300,5334,5061,4452,5404,6524,6020,4795,4256,5684,6167,7581,4543,4683,5775,6412,5698,4725,4732,6405,6762,5901,4837,4921,5922,6440,5509,4851,4907,5887,6349,5390,4725,4592,5887,6664,5369,4858,4858,5866,6062,5481,4305,4375,5635,6034,5208,4144,4704,5922,6027,4984,4319,4683,5677,6300,5201,4515,4340,5677,6048,5159,4459,4977,5516,6006,5467,4256,4725,5712,5509,4767,4515,4732,5327,5488,4683,7490,5495,6027,5026,4284,5068,5117,5635,5355,3906,4144,4844,5509,4788,3857,4256,4683,5600,4844,4179,4165,4802,5656,4683,4053,4333,5817,4382,4529,3941,4144,4571,4893,4501,3997,3822,4753,5257,4998,3878,4053,4529,5313,4354,3689,4186,4641,4515,4466,3577,3703,5180,5425,4571,4004,3857,5201,4963,4585,3773,3864,5054,5460,4648,3675,4095,5040,4949,4382,4046,4053,5061,5201,4263,3703,4032,5019,5348,4256,3661,4004,4711,4886,4361,4081,4417,5474,5530,4053,3759,4270,5012,4795,4025,3528,4214,4389,4592,4018,3780,3815,4578,5075,4557,3437,4368,5215,5005,4361,3465,4053,4571,5075,4193,4144,4508,4907,5677,4823,4333,5019,5873,6104,5761,10570,8148,9100,9751,8260,8554,9737,11165,10710,9380,9604,10542,11893,11270,9828,9688,10997,12229,10920,9905,9723,11298,11977,11389,10381,9485,10325,12642,11928,10472,10220,11333,13503,12194,12096,10451,11543,13643,12810,11480,10899,12691,14791,12586,11347,10717,12369,13986,12782,11774,11697,13412,14602,13230,12278,11690,13916,15078,13608,12600,11312,12530,14469,13825,12411,11928,13321,14833,14329,13174,11865,13629,16261,14497,13363,12551,13538,14903,14966,12159,13559,11746,15841,14175,12782,12964,13531,16051,14658,13517,12684,14315,15820,16226,13188,12621,14441,15414,15519,13006,12901,13615,15967,15302,13916,12915,14238,16450,15939,14238,13258,14364,15778,15274,13881,13041,13867,16387,14931,13622,12691,14098,16163,15428,14553,21434,15253,14427,13314,11060,10997,13384,12572,11858,11151,11844,14658,14819,13055,12880,13783,16688,17486,16541,15176,15239,18284,17724,17017,16401,16737,18011,18459,17381,16457,15645,17591,17472,15197,12502,11354,12341,12516,10906,9702,9646,11872,13265,11746,9968,9814,10633,11613,9625,8484,7931,8778,8400,6552,3542,2121,1148,672,378,217,168,91,84,63,42,1,1,2,1,3,0,1,0,3,0,0,3,1,0,1,0,1,2,1,3,2,3,2,2,3,2,3,2,2,3,3,1,0,2,3,3,0,3,2,3,2,0,2,0,1,2]
[2,1,1,1,3,3,1,0,0,0,0,3,25,2,18,2,1,2,2,35,49,49,63,42,56,84,105,112,217,168,231,294,245,280,441,490,623,812,966,1302,1946,2576,3927,6307,8820,10934,10010,7763,7420,9513,10563,9520,8162,7784,8666,10395,9394,7679,7602,9751,10969,9898,7231,8204,10024,10675,9513,7392,7322,9814,11088,9716,7364,14154,10234,9723,7910,7770,9597,10234,9394,7854,7322,9044,11053,9814,7630,7525,9625,9807,9604,7658,7371,9555,9996,9100,7511,7889,9051,10437,9296,7357,6993,8841,10549,9247,7651,7511,9604,9457,8813,6909,7525,9961,9590,8344,7336,7154,9968,10451,8302,6545,7336,9282,9310,8078,6923,7371,8708,10101,8659,6748,7357,9198,9709,8722,6853,7343,9821,9821,8183,6727,7329,8911,9079,7630,6307,6972,8211,8792,7427,6566,6664,8498,9716,7427,6048,7000,8064,8295,6846,5628,6622,8960,9016,6797,5859,6685,8603,9352,6979,5467,6825,9128,8519,6706,5922,6419,8897,8848,7560,6314,7651,8526,8274,6797,6475,7343,8274,8393,6384,5852,6503,8596,8477,6699,6244,9751,8134,8435,6552,6552,8036,8505,7826,6279,6160,7490,7686,7203,5719,5859,7896,8715,7707,5698,5663,7868,8834,7665,5985,5684,7644,7595,7980,5796,5999,7826,8316,7350,5397,5712,7665,7868,7252,4998,5691,6580,7763,7035,5803,5698,7686,8029,6769,5264,5775,7574,7889,6482,5194,6202,6153,7777,6615,4998,5663,7126,7798,6706,4865,5334,6846,7217,6482,5054,5306,7105,7847,6363,4634,5341,6608,7413,5978,4879,5306,6622,7189,6202,4984,4823,6531,7224,5936,4585,4494,6685,6783,6069,4459,5068,7322,7448,6153,5229,5411,7196,6937,6048,4886,5166,7273,7399,6419,5012,5502,7168,6965,6097,4949,5460,7161,8036,6160,5089,5810,7084,7476,5901,4956,5278,11837,6909,4746,4809,6426,7042,6559,5264,4473,6272,6839,6398,5068,4725,6650,6972,6195,4641,4529,6727,7665,6888,4795,4956,6503,7028,6412,4907,4739,6475,7035,6132,4795,5229,7294,7602,6279,5635,5859,8120,9450,8477,8197,8526,11704,13174,12607,11515,11942,14329,14546,14455,13041,13069,15421,15239,14553,13146,12278,14812,15344,16527,11788,12824,13895,16037,15218,13419,13279,15197,15624,14504,13552,13083,15666,15771,16422,13440,12978,16254,16723,17416,14063,13342,15904,16954,16660,14539,13727,16947,16156,16842,14448,14140,17353,16513,16534,14791,15365,16828,18305,17997,15911,14896,17927,17521,16940,15960,15701,17150,18053,18410,15183,15624,18389,18802,18333,16366,15113,17710,17906,18452,16310,15183,18508,29568,16905,15680,16814,18606,18690,17549,15841,17654,18683,19523,17549,15561,17710,18970,19586,18151,16352,17031,17843,19397,17374,16744,19019,18515,19894,18004,16177,17143,18900,19530,18116,16639,17318,19026,19467,18235,15540,17640,19180,19222,17626,15736,17738,17507,19712,16044,15624,14966,15883,16275,15099,13454,15050,18298,18151,17892,16156,18424,19362,20377,20573,18382,18977,20622,21350,20559,19047,20251,21259,20972,21630,18886,18865,19614,19551,17157,14651,14560,15036,15498,13160,12124,13223,16303,14994,14238,11991,13335,14546,14063,12054,9961,9891,11004,8771,7042,4382,2023,966,455,294,161,168,91,91,28,28,28,3,3,2,1,0,0,2,0,3,3,2,3,3,1,3,2,0,2,0,2,2,2,3,3,1,1,2,0,1,2,3,1,1,2,3,3,0,0,3,3,1,0,0,0]
[0,1,1,2,1,3,3,2,3,1,1,1,3,2,35,42,1,0,2,0,56,84,56,63,133,98,84,140,133,175,147,455,294,385,525,476,693,917,1127,1799,2331,3738,6559,9142,11767,13468,13510,10213,10745,11368,13279,12950,10353,10759,11011,13342,12719,9884,11130,11851,14070,12726,10570,10367,10885,13188,12831,10108,11116,11767,14112,12012,10283,11193,12292,14028,11480,10458,11431,11844,13405,11319,10171,11543,12117,13832,11704,10213,11221,11914,13580,11088,9821,10129,11858,13531,11025,10570,10927,12012,13188,10864,10318,11487,12502,13468,11123,10514,11347,11718,13202,10409,9212,10745,12019,12929,10528,9863,10731,11620,12544,9989,9891,11424,11375,12502,9569,9744,10416,12257,12488,9625,10290,10185,12033,12376,9646,9331,10836,11907,12145,9436,10024,11158,11823,11991,8946,9667,10731,11683,11347,9184,9884,10101,12257,11599,14644,9933,10458,11235,9170,8750,10185,10962,11508,9632,8155,9814,11522,11529,8652,9198,10206,10990,11802,8778,8141,10528,11011,12908,9681,9100,10843,11606,11718,8799,8666,9891,10395,11249,8365,8491,9688,10521,11494,8337,8442,9716,10801,11116,8323,9478,9786,11354,11123,8855,8393,10360,10647,10703,8127,8043,10136,11515,11389,8337,8407,10108,11081,11207,8099,9086,9317,10689,10766,8302,8519,9422,10325,10570,7980,8421,9772,9947,10395,7224,8589,9541,10871,9611,7714,8155,8743,10892,9695,7511,8645,9541,9954,9947,7630,7819,9646,10682,9471,6832,8183,9044,10605,10087,6993,8659,10290,14238,8421,6699,8267,9779,10304,7630,6594,8337,9142,9604,8197,6594,8309,9632,10493,8204,12992,9541,10360,9044,6356,7994,9086,10115,9947,5726,8267,9275,10157,8988,7210,8589,9940,10458,8512,6979,8183,9751,10479,8505,6867,8764,9625,10745,9233,6538,8218,9562,10619,10052,7266,8533,9030,10276,8820,6202,8281,9282,10241,8645,6776,8218,9548,10024,8015,6412,8330,9345,10227,8596,6538,8442,10129,9912,8162,6454,8561,9429,10486,8512,6979,8771,9436,9828,8463,6230,7840,9716,10241,8323,6902,8778,9597,10752,8106,7392,9219,10801,12859,11242,10304,11529,12642,16660,15743,13531,12957,14560,17395,16863,15358,14784,14609,17801,17591,15078,14938,14315,17717,17087,14756,14854,13902,17836,16884,15729,15225,14441,18018,17465,15729,14077,13965,17906,17619,15911,15428,15421,18648,18284,27825,14749,17591,20209,16856,16898,14623,17374,18914,16982,16835,15316,18382,19271,17234,16296,16086,17850,20230,18452,16436,15449,18494,19586,17871,16877,16443,17997,19264,18529,17626,15449,18648,20678,18543,17059,15519,18711,19467,18480,16765,15183,17801,20139,18389,17374,15974,18669,20615,19509,17794,15925,18746,20790,19166,17941,15953,17668,20951,18081,17325,15617,18214,21511,20020,18249,16863,19103,21105,19292,17276,16065,18039,20825,20594,18228,17192,18375,20195,19047,17906,16597,19096,19943,19859,17584,16177,17801,19845,18438,16401,15862,18382,18977,16261,15386,14861,17059,20993,19817,17451,16618,18634,22596,21231,18284,17563,18935,21735,21413,20076,17591,18277,22204,22155,19278,17185,16996,19544,18585,16618,15120,15960,17311,24332,14175,13160,17087,16534,14525,13552,12593,14637,13867,11368,11753,10486,8435,7161,4004,1911,665,469,238,84,84,91,70,28,28,63,2,2,2,1,0,0,1,2,2,3,0,0,3,3,0,1,2,3,2,2,1,0,2,0,2,1,2,0,3,0,0,3,2,3,2,0,0,3,1,3,1,0,3,0,3]
[2,1,0,2,2,0,0,2,1,0,3,2,3,0,1,28,0,28,2,42,28,77,63,84,119,91,105,154,175,217,238,189,371,441,378,490,609,735,952,1323,1862,2436,3759,7294,10024,11872,11599,10143,9646,10962,12887,12068,10066,10101,10094,13055,11354,10143,9380,11074,13188,12390,10318,10255,11060,12544,12313,9716,10129,12047,13293,12579,10507,10521,11354,13321,11221,9569,10094,11445,12117,10976,9590,9646,11116,12012,11025,8918,9933,10801,12929,11158,9569,10325,11305,12593,11067,9212,9863,12663,12705,10570,9254,10136,12614,12369,11228,9457,10542,12236,12635,10374,9107,17185,12215,10570,8750,10031,11249,11480,10675,8652,9793,10864,12250,10521,8113,9891,11186,11095,10255,8505,9275,10906,11739,10220,8169,9366,10941,11109,9828,8246,9485,11340,12082,9317,8365,9002,11550,12040,9268,8015,8981,10255,10451,9604,8309,9065,11571,10556,9226,8078,8967,10997,11543,8967,7483,8855,10514,10934,8659,7875,9569,11116,10969,8239,7623,9170,10465,11452,8855,8162,9128,10997,11228,9016,7917,8589,10850,10430,8260,7553,9541,10353,10339,8638,7602,9100,10066,10332,8225,7525,9485,10745,11025,7987,7714,9212,10731,10675,7959,7203,9464,10563,10647,8484,7406,9394,10829,10626,8974,7994,8911,10759,10199,7966,8078,9275,10822,9422,7973,7609,9051,10255,9324,7322,6818,14868,10675,7791,7161,7777,9891,9723,7882,7336,8785,9478,10010,7532,6125,8141,9303,9947,8022,6993,7798,10808,10353,7658,6517,8022,9296,9373,7280,6657,7686,9583,9289,7399,7105,7427,9373,9324,7497,6307,7196,8925,9191,7154,6230,7735,8953,8631,7497,6244,7420,9730,8764,7336,6181,8057,9534,9191,7329,6769,8162,9737,9030,7392,6846,8344,9632,9443,7448,6489,7756,9716,8442,7126,6727,8365,9898,8764,7770,7203,8533,9023,9065,6671,6132,7938,8393,8862,6972,6223,8365,9240,8505,6650,6062,7924,9660,8981,6846,6265,7609,9289,8715,6657,6223,8225,9940,8708,7224,6734,7826,9590,9079,6608,5915,8169,9303,8750,6314,7042,8638,10080,9744,6671,7112,9926,18732,10381,9296,11305,13699,14357,13993,13230,13762,15239,16688,15169,13636,15113,15561,17178,14868,14035,15204,16254,15694,15302,14014,12796,15435,16051,15547,14119,13769,16933,14707,14917,14602,13755,15162,16674,15568,14168,15295,16702,17458,16289,14763,15113,16471,16926,16758,15421,15029,16891,16527,15960,14770,14336,16856,17934,15890,15022,15953,15981,17024,17164,15372,14938,17227,17647,17010,17325,16156,17507,17815,17577,15925,16478,18179,18956,17983,16730,16835,18319,18900,17906,16548,15953,17416,18872,17738,16807,16275,17220,18753,17514,16625,16849,18018,18984,17850,15848,16737,16877,21014,18004,17787,15015,18942,19320,17927,17157,16471,17864,19803,18130,16982,16254,17941,19082,17983,17563,17185,17780,19348,18417,18004,16821,31738,19040,17458,16653,18116,18963,18123,16394,16926,16058,18473,16751,14560,13741,16996,17514,18522,17248,16128,17458,19607,20342,19257,18067,18025,21483,21182,19152,18571,18305,21224,20363,18949,18284,18368,19663,19698,15372,14546,14266,15904,15596,12817,12376,14336,15645,14588,12775,12551,13496,14952,14021,12411,10815,11109,11270,9135,6286,3325,1631,791,483,245,140,98,63,63,42,28,1,3,35,3,3,1,2,2,0,3,1,1,2,2,1,3,1,3,0,0,1,2,1,2,1,2,0,1,2,0,0,3,2,1,0,0,3,2,0,3,1,0,0,3,3]
[0,3,1,3,3,2,0,3,2,0,3,1,28,0,1,2,2,35,49,1,49,28,70,77,63,70,98,154,126,140,217,273,252,357,420,378,609,644,875,1169,1687,2401,3206,5467,7455,8414,7805,6566,6993,8701,9261,8155,6643,7000,9079,9800,8008,6454,6783,8869,9576,8267,6440,7133,8309,9464,8211,6363,7273,8834,9450,12033,7168,8792,9681,7889,6510,6685,7945,9219,7847,5754,7441,8470,9093,8302,6629,6706,7651,9471,7511,5978,6636,8638,8974,7770,6580,6993,8897,9331,7224,6342,6867,8729,9429,7336,5880,7119,7742,9156,7021,6377,6867,7833,8589,6664,5817,6692,7938,8421,6384,6069,6790,8190,8064,6769,5936,6825,8071,8365,6461,5691,6433,7959,8281,6482,5628,7105,7336,8197,6342,5628,6734,7966,8099,5922,5264,6937,8596,8008,5607,4886,6216,7700,7903,6188,5341,8617,7819,6503,4746,5236,6552,7924,6734,5138,5516,6804,7308,6286,4872,5712,7217,8008,6083,5194,5383,6860,7847,6174,5369,5201,6888,7434,6496,4830,5523,6713,8015,6090,4613,4956,7371,6797,6055,8512,6167,6853,6797,4851,5166,6328,7434,6790,5488,5264,6132,7315,6706,4970,5096,6258,7336,6846,5019,5495,6720,6916,6706,5264,5327,6272,7385,6181,5488,5047,6545,7532,5733,4676,5180,6377,7112,5873,4543,4907,6027,6916,6020,4200,4655,5887,6643,6097,4704,4746,6342,6937,5579,4165,4753,5712,6034,5320,4011,4725,6146,6510,5404,3899,4501,5852,6594,4984,4417,4557,5719,6664,5691,4396,4634,5712,6384,4991,4221,4389,5726,5838,5152,4578,4627,5621,6685,5005,4186,4452,6195,6587,5355,4151,4599,5908,6552,5075,4508,5040,5985,6265,5243,4165,4431,6160,6223,5348,3920,4851,5670,6461,5670,4214,4655,6006,6685,5390,4137,5187,6286,6748,4711,7028,5110,5908,5488,4480,4578,5124,5915,5215,4235,4235,5481,6216,4935,4452,4326,5222,6146,5663,4060,4466,6055,6447,5145,4473,4333,5558,6111,5068,3955,4298,5950,6356,5544,4130,4452,5523,6377,5705,4858,4900,6384,7462,6202,6643,7273,9576,10850,10948,9226,9779,11802,14448,12243,10878,10682,12348,13650,13195,10871,11137,12264,14105,11809,10682,10283,11956,13741,11634,10311,10122,11515,13552,12467,9870,10528,12271,13657,12670,10612,11571,13055,15449,13818,11641,11431,13265,15295,12971,12215,11487,13328,14581,13265,11319,12082,13363,14028,13426,12390,11697,13307,14714,14056,11487,11788,14399,15127,14455,13188,13132,13657,15050,14567,13041,13237,14063,15869,14749,13090,13013,15379,16303,14602,21252,14371,16023,16142,13734,12418,13629,15750,15806,13762,12838,14497,15715,16219,14000,12656,14217,15722,16093,14364,12677,14889,15596,16317,14035,13076,14889,16667,16730,14266,13216,14973,16331,16499,15183,13160,14595,15862,16702,13538,13279,14098,16443,16597,15057,13615,14070,16107,16422,14175,12516,12740,14644,14245,12117,11151,12418,14679,15624,13300,14084,14329,16940,18186,16443,14875,16009,17899,19026,16240,15400,15904,17535,19180,17661,15106,15281,16534,17066,15085,11585,11081,11949,11949,10507,9604,10430,12138,12432,10808,9527,9198,11389,12789,11102,7665,8575,9254,9464,6405,3353,2009,966,504,252,210,182,147,70,28,1,2,1,3,2,2,1,3,1,0,2,3,3,3,3,2,2,3,3,2,0,1,0,3,2,3,0,3,3,2,0,2,2,1,1,1,0,3,0,3,0,2,2,3,3,2,1]
[1,1,13,1,1,0,2,1,3,1,3,1,3,0,1,0,35,63,49,3,56,35,63,56,126,175,105,140,350,168,245,294,301,329,504,539,749,1022,1344,2079,2618,2807,4410,5894,7994,7721,6727,6181,7021,8848,7595,6587,6797,7007,8617,7679,6524,6923,7357,8680,7903,6377,6419,7476,7595,7623,6307,6482,7476,9065,7896,5852,6622,8141,8449,7322,6636,6125,7378,8141,6853,5523,6552,7791,8330,7301,5838,6482,7560,8463,7077,6034,6503,7749,8470,6874,6111,6027,7700,8085,6419,6125,6300,8099,8211,7007,6146,6937,8106,8078,6734,5880,6741,7511,7273,6454,5656,6111,7728,7371,6664,5656,6069,7294,6692,6006,5453,6307,7112,6825,6027,5502,5964,7399,7455,5789,5383,5397,6958,8855,5194,5383,6741,7140,6762,5278,5600,6671,6678,6678,5313,5033,11508,6496,5474,4788,5740,6538,6167,5229,4781,5754,5810,6258,5096,4823,5614,6440,6244,4858,4438,5565,6811,5978,5019,5068,5467,6685,6013,5600,4998,5831,6489,6363,5222,5173,5936,6720,6041,4963,4900,5978,6384,6181,4690,4466,6097,6440,7875,4907,5082,6006,6643,5453,4725,5292,5936,6398,5579,4494,4970,6188,6160,5446,5012,5117,6272,6328,5691,4956,4914,6244,6314,5628,4431,5194,6083,6174,4851,4333,4998,5782,6132,4907,4487,4550,6055,5915,5215,4522,4774,6006,5817,4851,4018,4641,5292,5313,4977,3857,4466,5404,5278,4585,4088,4578,5887,5572,4676,3759,4347,5278,5173,4361,3584,4088,5264,5089,4347,3843,4739,5418,4914,4536,4032,4214,9016,4515,3906,4172,4564,5600,4571,3843,3983,4802,4746,4375,3913,4137,4620,4984,4354,4081,4340,5460,5299,4613,3787,4333,5019,5250,5166,3976,4368,4963,5047,4620,4018,4172,5019,5677,4739,4039,4088,4865,5341,4326,3451,3962,4627,5068,4221,3682,4081,5152,5271,4228,3885,3899,4676,5313,4438,3367,4158,4837,5327,4515,3612,4340,4893,4872,4319,3794,4410,4970,4928,4417,3745,4291,5068,5159,4403,3759,4858,5124,5138,4452,4550,4900,5957,6888,5901,6629,7847,9737,10136,9905,9457,10829,13083,12929,12873,11263,11984,13321,14098,12488,11116,10752,14070,13377,11711,10423,10934,12201,12446,10878,10612,10710,12761,12894,11004,10528,11417,13118,12929,11375,11536,12222,24318,13475,12040,12278,14399,15029,13069,12467,11578,13993,14693,13461,11851,11739,14322,13986,13482,12040,12621,14154,15127,13552,13139,11375,15197,15680,14784,12873,12033,14777,15526,14413,13146,11879,14889,16079,14847,12880,13314,15085,16835,15946,12642,13139,15974,16835,15197,13902,12817,15407,15883,15050,13825,12999,15764,16646,15127,13951,13202,15659,16919,16037,14469,13510,15106,17500,16205,14903,14266,16072,16870,16303,14399,13545,16583,17458,14924,13979,13979,15652,17633,16345,14574,13545,16646,18165,15750,15316,13769,15890,17129,16226,13510,13181,14455,16492,14756,12362,12712,14714,16492,16219,14994,14539,17297,19376,17549,16282,15925,18480,18704,18452,17780,14238,17171,19481,17808,16870,14889,15617,16604,16891,13825,11690,19999,11445,11144,9429,10801,12369,11550,10262,8939,9107,10794,11326,9548,8008,7945,8603,7840,6104,3878,1582,784,483,336,196,147,112,70,42,49,2,3,35,3,3,1,3,0,1,1,0,3,1,0,0,2,0,2,3,1,1,0,3,1,3,2,3,1,1,0,0,3,0,3,0,2,1,3,1,2,1,0,0,1,1,3,2]
[2,2,2,3,3,1,2,0,1,2,3,3,0,28,28,3,2,28,35,56,28,42,3,49,63,112,84,140,98,161,231,224,336,350,420,511,609,665,1029,1239,1547,2604,3969,6265,8946,11088,12089,9485,8603,10857,12488,12194,9835,8764,10332,11837,11781,10227,8841,11200,12817,12677,9702,9814,11718,12502,12425,9800,8680,10787,13202,12159,9800,9520,11760,13118,11886,9450,9086,11522,12390,11683,9107,8967,11711,13055,12271,9247,9387,11445,12425,11760,9100,9002,11389,12516,11067,8967,9058,12068,12425,10997,8491,9751,12061,12873,10773,8575,9709,19964,11802,8617,8533,11158,12166,10556,8617,8575,11291,12159,11431,8442,8554,11039,11424,10829,8659,8050,10430,11270,10395,8239,8841,11319,11977,10381,8015,8057,10129,11599,10045,8309,8995,10948,11564,9681,7784,8687,10787,11284,9499,7371,8288,10654,11074,9639,7238,8078,10549,10570,9429,7343,8078,10248,9989,8715,7063,8141,10318,10906,8890,6426,8106,9891,10857,8400,6888,8239,10955,10416,8610,7245,8197,10864,10087,8085,7091,8064,10283,10360,8729,6916,8526,13580,10346,7266,6657,10325,8603,9779,7504,7399,9674,10486,10024,7518,7147,9044,10332,10157,6923,6860,9611,10199,9660,7441,6993,9338,10556,9898,7385,6958,9093,10640,10500,7420,6580,9863,10409,9149,7063,6566,8995,16807,7476,6286,7938,10087,9828,7546,6139,8897,8890,9506,7133,5838,8197,9814,9639,7462,6314,7952,9450,8883,7308,5908,7707,9527,9366,6895,5810,7462,9114,8071,6503,5229,7140,9044,8708,6132,5761,7910,9303,7931,6125,5306,7371,8645,8379,6601,5439,7420,9065,8778,6300,5327,7336,8904,8897,6314,5964,7560,9471,8491,6202,5747,7973,10059,8470,6272,5516,7721,9954,9310,6587,6132,7854,9191,8694,6608,5635,7693,9723,8246,6055,6083,7637,8841,8351,6111,5579,8330,9016,8316,5705,5740,7812,9093,8414,6146,5677,8001,9408,8127,5537,5495,8218,9576,8183,6174,6146,8337,8946,8302,5866,5348,7651,9156,7679,6398,6251,8267,9821,8624,6048,5957,9205,9415,13447,6713,8435,10808,10801,9548,8862,11354,14378,15358,13146,12460,14273,16632,19040,16471,14707,16310,16002,17542,16436,13783,15442,16380,16597,15540,13440,15141,16800,16681,14742,13545,14735,16422,16891,15435,13342,15883,16338,17409,16779,14721,16072,16457,19166,17549,15386,16569,17185,18158,17080,15316,16814,17535,17836,16478,14889,15932,17598,19068,18144,15057,16352,17115,18375,17430,14595,17346,17598,19320,17570,15547,16324,16996,19341,18907,15673,17283,17766,19033,18235,16968,18179,18109,19439,19292,16254,18179,17388,21301,19369,16898,17780,17605,20097,19292,16842,18669,18109,20300,19859,16751,17864,17668,19607,19600,17339,17738,18298,20412,19047,17913,17535,19243,19285,20258,16730,17808,18732,19537,19845,16954,17731,18599,34657,19173,17115,18179,19327,20251,19481,18564,19838,16660,20902,18109,17192,17199,18823,20153,18718,17318,18165,19264,21588,18648,17878,19810,19278,24843,19488,19383,19250,19908,22561,19474,18732,18501,20209,21259,20083,18592,18501,17668,19705,16996,15785,16513,16800,15925,13251,12866,14861,15484,15295,12691,11697,14126,13496,13433,11501,10381,12481,9996,8260,5873,2807,1379,560,301,203,168,140,63,56,63,28,2,2,1,2,3,3,2,1,2,1,3,3,2,2,2,3,1,3,0,2,2,3,3,3,0,0,0,0,0,2,2,1,0,3,3,1,3,0,2,2,1,0,2,3,2]
[2,1,1,1,2,0,3,3,2,0,2,0,0,2,28,3,1,3,0,28,28,77,91,98,147,175,161,147,147,189,182,392,280,399,504,567,630,763,1092,1463,2317,3052,4963,7490,9765,11494,13699,11116,10521,11557,12124,13545,11200,10990,11914,12684,14539,10325,10815,11270,12607,13545,11046,10934,10521,13769,19859,10668,10871,11760,13944,11011,11151,10640,12915,14196,11424,10969,11564,12208,13706,11046,11326,11473,12740,14168,10794,10857,11179,13398,12313,9926,10717,10997,12586,12985,10465,11032,11242,12719,13391,10444,10724,11578,13195,12257,10178,10738,10836,12481,12264,10234,10283,11039,12488,11515,10192,10353,10486,12313,11963,9408,10507,10969,12621,12047,9135,10374,11116,12523,11641,9233,9709,11466,12586,11438,9359,10374,10248,12719,11207,9198,10080,10689,12103,10731,9114,10199,10570,12152,10269,9254,9604,10934,11347,10108,8967,9562,10976,11291,10521,7945,9583,10283,11445,10185,8750,9611,10745,11361,9926,8344,9121,10101,11312,9646,7966,9618,10990,11886,9583,7945,8974,10850,12292,9709,8673,9793,10948,12257,14966,9457,10619,11900,10724,8883,9373,9779,11788,10612,8428,9177,9933,11879,10024,8785,9023,9870,11487,10633,8155,9184,10031,11277,10094,7910,8953,10815,11599,10395,8400,9338,10297,11417,10423,7868,9751,10031,11102,9212,10269,9198,10766,10325,7966,8316,9492,10332,10857,8449,8022,8869,10115,10087,7504,7140,8834,10437,10535,8085,8078,9289,10010,10745,7903,8008,9156,10913,10353,7329,7840,9282,10297,10360,7623,7511,9548,10248,10122,7749,8400,8855,10031,10080,6944,7385,9065,10178,9779,7420,7707,8519,9975,10332,7378,7273,9051,9849,9730,7357,7469,9590,9954,10094,6867,7301,8918,10353,10220,7553,7826,9282,10493,10703,7665,7616,9093,9219,9191,7077,7336,8652,9884,9933,12327,9247,9639,10192,7910,7154,8974,9660,9548,7245,6748,8491,9632,10465,7812,7763,8778,9891,9954,7063,6881,8925,9674,10437,7567,7252,8841,9709,10094,7098,7252,8841,9625,10192,7238,7518,9261,10360,10255,7560,7630,9317,11186,10577,7728,7952,10402,11816,11963,9870,10325,11431,14693,16527,14980,13783,13762,15393,18109,17507,16079,15134,15414,17444,16576,17206,13104,15750,16919,15379,14623,13986,16002,17010,15456,13839,14364,14910,16961,15393,14847,14875,16016,18172,16667,15883,14651,15841,18648,17353,16611,15603,16541,18676,17703,16198,16380,16233,18088,17143,16198,16002,17115,18858,17206,16310,15428,16569,18536,17556,16345,16268,17339,18235,18606,16373,15904,17325,18046,18207,16401,16016,16695,19201,17269,27678,15897,18725,19285,17556,16835,16163,18949,19075,19131,17465,17227,18732,19411,17423,16114,16317,18977,19117,18025,17150,17556,18515,19544,17675,17493,16548,19159,18634,18809,17227,17416,19103,20083,18585,17710,17605,19054,19740,18550,17829,16807,20062,20293,19334,17073,17297,18417,19390,19334,17640,17038,19950,20097,18704,16863,17206,18473,19320,18893,17815,17220,19355,21028,19978,18466,18998,18592,21056,19635,18102,19103,19894,22015,20433,18774,18319,19257,20489,20321,18410,16807,17563,18263,17626,16429,15848,15547,17108,14770,13713,14462,15218,15491,13440,12719,12838,12803,13034,11172,11396,10822,9233,7602,4935,2107,924,364,336,203,154,91,49,42,28,3,0,42,1,1,3,0,3,3,2,0,0,1,2,3,2,0,2,3,0,2,0,2,2,0,3,1,1,0,3,0,1,1,0,2,0,1,3,3,1,1,1,1,2,0,3]
[1,0,2,3,1,2,18,0,3,2,1,1,1,1,0,2,35,2,49,0,35,42,42,98,98,105,126,161,189,189,217,280,315,350,539,623,791,847,1141,1652,2499,3752,5362,8323,10857,9576,8246,8694,9877,11655,10360,8841,8288,9009,11613,10703,8771,8316,10080,12131,10857,8099,8036,10101,12390,10556,8554,8183,9282,11494,11193,8190,8512,9450,11123,9758,8890,8463,9940,11459,10248,8428,8281,10269,11221,9499,7917,8442,10353,11487,10094,7420,8456,9849,11249,8750,8113,7910,10542,11480,9562,7427,8337,10136,11312,9233,7532,7861,9961,11172,8477,6818,8141,10332,10374,8302,7210,8631,10262,10136,8232,6867,7413,9856,10143,7896,6979,8092,9597,10290,7707,7245,8155,9919,10724,8015,6944,8330,10227,9618,7938,6601,8211,9611,9751,7553,6524,8463,16422,8526,6804,7308,9758,13468,7217,6377,7574,9632,9380,6937,6468,8232,9891,9247,6811,6727,7840,10066,9107,6930,6447,7315,9534,8603,6874,6776,7805,9786,8323,6748,6335,8036,9527,9121,6776,7224,8463,9219,8708,6629,6825,8141,9821,7749,6692,6307,8176,9702,8869,6510,6937,8351,9002,8841,6748,6412,7679,9863,8001,6230,6545,8022,8925,8134,5873,6055,7707,9555,7917,6797,6811,7651,9268,8092,6440,6587,7966,9352,7938,6209,5978,8281,9009,7812,6321,6307,7294,8932,7161,5208,6153,7182,8253,7833,5726,5817,7994,9324,7294,5292,5782,7973,8715,8232,5887,5964,6797,8421,6909,5425,6090,8428,9107,7028,5537,5964,7518,8652,6846,5789,5621,7455,13083,5635,5397,6769,7861,6965,5495,5383,6328,8253,7707,5670,5194,6692,8533,7343,5341,5705,7329,8596,7350,5187,5040,6146,8988,7371,6090,5768,7350,8260,7441,6272,6076,6874,8358,6559,5124,5208,6139,8358,7455,5544,5502,7105,8540,6720,5901,5929,7763,8036,7266,5418,5341,7406,7952,6881,5082,5460,7077,8281,7014,5103,5068,6671,7665,6216,5642,5803,7413,8519,7231,5040,5411,6643,7854,6328,4921,5915,7819,8659,7070,5425,6342,8022,8687,7553,5866,5992,8197,9324,8155,7028,9037,10626,13692,12320,11543,11858,13860,15204,14357,12852,12824,15365,16114,13713,12222,12929,14231,15974,13447,11151,12432,13377,15519,13286,11116,11921,13804,15148,13167,12390,12621,14231,26138,13237,12985,14147,15806,15995,13454,12600,14588,16422,15946,14742,13601,14651,16807,16079,14476,13468,14322,16590,15981,14077,12775,13811,16310,15190,14420,13167,13832,16422,16023,13832,13545,14959,16821,15988,13608,14056,14455,17101,17199,13881,13034,14896,17213,17374,14826,13496,15771,17206,16751,15267,14854,15785,17773,17661,15876,14098,15414,17171,16975,15344,14903,14945,17311,17262,15015,14658,16422,16989,17661,15491,13636,15442,17710,18088,15078,14343,15946,17927,17101,15365,13986,14938,17297,17843,15169,14686,16079,17241,18641,15190,14679,16352,17066,19061,16156,14280,16135,17927,18109,16373,14420,15470,18186,17311,16478,15736,16492,17794,18333,17724,14896,16814,18200,19838,17934,16555,16065,18305,20531,17269,15379,16912,17416,29162,13615,12117,14049,16219,15218,11396,11417,13328,14658,13587,10325,10122,11613,13412,11354,8519,8694,10346,10535,7812,5033,2562,1197,546,343,210,175,98,56,35,42,42,28,3,1,2,1,3,0,2,1,1,1,3,3,0,2,2,0,3,3,2,0,0,0,1,0,0,2,1,2,3,3,2,2,2,0,1,2,0,1,0,3,1,3,3,2,3]
[0,0,0,3,1,2,0,2,0,2,3,3,1,1,28,42,28,2,63,49,84,91,84,84,126,133,196,168,154,245,259,399,441,497,665,763,994,1575,1939,2695,3815,5327,7161,7119,6510,6062,5964,7903,8050,6230,5467,6111,7280,7938,6776,5705,6167,7707,7385,6398,5572,6748,7700,9786,5467,5215,6328,7420,7308,5390,5530,6370,11466,6650,5362,6867,8204,7469,5768,6048,6748,7588,7238,5873,6160,7434,7924,7749,5502,8050,7252,7616,6391,5586,6741,6685,8078,6258,5124,6587,11564,6468,4977,6244,5964,7021,6489,4907,5061,6496,7350,6139,5075,5208,6468,7525,6230,4249,5075,6720,7371,6251,4844,5005,5502,5894,5334,4879,5215,6951,7406,5663,4977,5852,7112,7329,5964,6580,5320,7147,6622,5005,4725,5726,6804,6090,7343,4928,6251,6874,5523,4515,5075,5677,6797,5901,4711,5250,5782,6573,5418,4487,4956,5936,6692,5985,4459,4578,5558,6244,5474,4557,4620,8330,5992,4795,4375,5236,5544,6531,4949,4683,5306,6069,6307,6370,5040,5243,6587,5320,6286,4858,5726,6279,5215,4452,4711,6195,6832,5208,3941,4865,6034,6167,5187,4340,4501,5719,6132,5068,4074,4445,5740,6020,5341,4529,4669,5796,6090,4851,4298,4725,9898,4956,4081,4627,5005,6300,4858,5873,4592,5061,5425,4508,3962,4431,5040,5782,4935,3794,4193,5418,5558,4550,3745,4361,8148,4144,4018,3668,4858,5873,4886,4179,3801,4606,5607,4998,4053,4340,4389,5320,5054,4200,4228,4627,5299,4977,3948,3542,6335,5299,4249,4690,4669,4949,4585,4256,3304,4340,5453,5201,4046,4032,4200,5495,5348,4095,3612,4144,5271,5047,4088,3913,4473,5061,5103,3815,4116,4340,5201,5110,4186,3598,4347,5152,5152,4032,3724,4354,5047,5047,3934,3759,4907,5390,5145,3640,3878,5250,4130,4781,4011,3752,4410,5425,4452,3752,3689,4732,4802,5159,3647,3969,4382,5411,4410,3745,4487,4102,4907,5691,3528,4102,9450,5215,5474,4172,5705,5845,4438,4186,4410,5551,5922,5264,4858,6265,11767,9499,8071,10255,13832,12306,10178,10101,9443,11452,13293,12005,9338,10171,15239,12705,10269,8974,9457,11473,11186,9744,8435,13489,12670,11564,9758,12985,11928,12495,11410,13727,10024,12740,13545,11312,10724,10528,13356,14021,11228,9968,10787,13972,13783,11746,10521,10563,13216,13356,10668,9926,10857,12439,13230,10717,10234,11368,12082,13790,11298,10787,11564,14406,13209,11935,11186,11655,13930,14126,12082,11319,11550,13748,14000,12376,10794,12446,14266,14602,13426,11949,12411,14980,14945,13846,11711,13013,13979,15232,12642,11767,18312,15274,14588,12229,12103,12677,21063,14637,11809,12936,14007,15176,14063,11613,17108,14112,25186,12495,11998,14546,16317,14042,12992,13209,12642,15386,14238,13055,11494,12838,16352,14742,12488,11634,14553,15932,14469,11732,13006,13069,15638,15449,13503,12726,14973,16023,15470,13650,13090,14756,16450,16450,13916,14210,15078,17269,17234,15176,13776,14315,15470,14959,11900,10661,11200,12544,12859,10388,9051,9968,11424,10731,8925,7385,8092,9618,9072,7679,6531,6853,8078,6797,4221,2443,1274,784,371,182,168,112,77,49,63,56,2,28,3,0,1,1,0,2,3,3,1,3,1,0,3,3,0,1,2,3,1,2,0,3,2,0,3,1,2,1,3,2,2,1,3,3,3,0,3,1,1,1,0,3,3,1,2,3,1,2,0,1,1,2,2,0]
[0,0,2,1,1,2,3,0,0,0,3,1,1,2,56,0,1,42,1,28,56,28,35,28,112,63,112,140,224,182,273,308,441,469,469,609,1050,1526,1498,2016,3143,6447,7805,8876,10962,11144,9163,9695,8316,6958,6846,8211,8862,11018,6356,6594,9198,9772,10619,7070,7889,9450,8736,6951,6223,7224,9989,9569,6909,6629,8344,9947,9072,7168,6916,9044,10080,8897,7091,6846,9184,10129,9079,6328,6475,8449,9478,8568,7574,6566,8274,9807,7945,6398,6790,8603,9023,7756,6174,6048,8610,9534,7945,6083,6650,7840,8232,7371,6405,6748,8967,8960,7623,6097,7119,9401,9807,7462,6321,6664,10367,10423,8701,5908,5803,6958,7546,6146,5586,6391,8071,8834,7049,5782,6174,7910,8232,7056,5607,6790,8015,8526,6496,5663,6727,7749,8435,7014,5600,6615,8176,8288,6664,5299,6328,8078,8260,6601,5691,6097,7504,7714,6363,5019,6027,7266,7602,9688,5285,7476,7434,6853,5509,5852,7420,7973,6391,5292,8001,7588,7644,5586,5523,9289,8239,6713,5782,5852,6440,8498,9044,5334,6181,7406,7560,6489,5390,5845,8120,8295,6160,4837,6307,7231,8008,5789,5096,5565,7581,8533,6272,4620,6230,7224,8148,6013,5208,6048,6860,7602,5502,5033,5740,6433,6790,5334,4480,5558,7525,7126,5061,4494,5418,7112,6727,5334,4739,5341,7721,6825,5621,4725,5691,7147,7175,5285,4634,5138,6734,6972,4984,4536,5649,6867,6839,5313,4354,5810,6524,6615,5208,4165,5390,6538,6615,4802,4571,5068,6615,6293,5124,4585,4935,6741,6447,4998,4039,4802,6174,6104,4508,4144,4823,6041,6279,4690,4389,5033,6384,6377,7728,4641,6146,7091,5432,4228,4501,5950,6370,5019,4662,5075,7056,6706,5397,4263,4879,6356,6713,5446,4151,4935,6216,6356,5306,4403,4760,6706,6636,5537,4466,4830,5873,6195,4872,4354,4956,6412,6069,5131,3871,4886,5691,5831,4578,3983,4634,5950,5873,4683,3990,4809,5817,5803,4683,4459,4984,6510,6762,5544,4627,5411,6405,6132,5103,4865,5810,7322,7252,6090,6748,9408,11074,11249,9611,9233,11802,13783,13363,11298,11067,12656,15344,15190,12922,11767,13104,14749,14917,12803,11263,13034,15190,14637,12453,11172,13328,14364,15106,13293,11648,13202,15645,15232,14154,11683,13944,16632,15764,13790,12467,13867,15092,15645,13447,13076,14210,16723,16156,13125,12089,13440,14742,14833,21343,12138,14854,16184,13741,12383,12586,14959,15764,14833,13475,13790,16037,16765,14756,13027,14210,15155,16835,16324,13349,14238,16989,16884,15253,14875,13783,16457,17941,15603,15330,13741,16800,17451,16513,14609,14196,16352,17752,16597,13944,15183,16982,17262,16730,15666,14532,17570,18711,17003,15358,15022,16268,17794,16947,15428,14434,17276,18361,17591,16044,14056,17122,18564,17955,15113,15162,16667,18053,16982,15764,15239,16632,19075,17654,16877,15778,17353,19208,17374,16177,14476,18473,18704,18298,16772,15407,17794,20027,18634,16996,15603,18515,19397,20146,18802,17073,19089,20447,19488,17927,16695,19082,18487,17605,15953,13636,15351,16562,15302,12775,11284,12306,13923,12229,10206,8351,9947,11172,9779,8505,7553,8729,9219,7742,7392,1190,574,371,259,140,112,133,56,35,56,2,1,2,28,2,0,1,1,1,3,1,1,0,1,0,3,0,0,2,0,0,1,3,2,2,1,1,1,0,0,1,1,3,0,0,2,0,2,2,3,3,1,1,2,1,3,0,3,3,2]
[3,1,2,1,3,3,3,2,2,5,3,3,1,2,0,0,28,0,28,28,42,35,0,49,63,56,119,140,161,161,161,273,245,294,581,553,602,777,1134,1260,1918,2779,4368,7007,9436,12537,14238,10780,10248,11053,12530,13902,10899,10227,11809,12194,13363,10871,9093,11368,12544,13951,10591,10276,11550,12768,13076,9667,10185,11515,12929,13489,10927,10626,11480,13475,13454,10409,11221,11585,13034,13279,9968,10262,11564,12824,12208,9261,10570,11998,12775,13202,9303,10290,11438,12264,13153,8176,10759,11662,12789,11172,8470,10794,11501,12971,11599,8512,10591,11480,12229,11018,8946,10542,11676,13482,11109,9660,11060,11823,12614,11319,9233,10059,18137,12887,8981,8463,10465,10787,9513,7847,9569,11305,12341,11417,8050,9919,11186,12096,11585,8372,10122,11354,12488,11088,8183,9527,11466,11613,10864,8435,9723,10927,12208,10143,7798,9982,11011,11963,10605,8099,9611,10766,12292,10549,8218,9513,11501,10388,9037,7868,9191,10073,11298,9555,7539,9471,10094,11473,10143,7938,9548,10227,11655,9121,7504,9072,10094,11627,9555,7686,9303,10087,10472,8988,7287,9191,10535,11711,9338,7490,9716,9982,10717,9163,7511,9002,10045,11354,9072,7427,9723,10353,11683,8967,8043,9765,11207,11914,9744,7238,9919,10010,10773,8449,7315,9177,10059,10437,8351,7196,9191,10136,11032,8694,7329,9254,10339,13916,7420,7735,9919,10423,10878,7889,7833,10080,18123,7490,6741,9072,9604,10892,8232,7189,9345,9849,10178,7994,6720,8932,9618,10115,7084,6720,8372,9940,9919,7098,6573,9142,9737,9786,8330,6685,8561,9688,10150,6636,6265,8911,9576,9646,6496,6223,8890,10199,10311,6951,6272,8799,10010,10080,7889,6349,9100,10374,9604,6769,6811,8974,12089,8799,6902,6916,8939,9751,10479,7385,6895,9198,10185,9926,6846,6496,8638,9842,9527,6993,6678,9450,10171,8953,7084,7056,8617,10164,9247,6881,6398,9086,10290,8764,6720,6552,8841,10297,9401,6160,6188,9289,10059,8911,6188,6790,8582,10206,8764,6839,6538,9961,9905,9352,6706,7161,9926,10514,10171,6811,7441,10493,11571,11676,8680,10059,12621,14959,16317,12810,12894,13699,27405,14854,14770,14882,14686,18214,16709,15183,15085,16233,18669,16982,15155,15008,15589,18347,15792,14896,15260,16233,18235,17542,15442,15568,15862,18620,17290,15750,15393,16352,19159,16702,15330,15568,16156,19649,16380,15400,15862,16261,18830,17787,14861,14966,15421,19068,16905,15302,15176,15701,18620,17710,14665,16044,15274,19775,17388,16583,15799,15911,18788,18242,16807,15477,16345,19516,19411,16765,16114,16821,20405,18830,16779,16163,16247,19523,20104,18284,17213,16674,20517,19103,18228,16527,15435,19292,19446,17745,16926,16121,19908,20398,17556,16331,16016,19579,20104,18361,17073,16121,18977,20097,18214,17304,16352,19369,20237,16926,16156,17626,19922,20797,18144,17710,16380,20279,21147,18438,17535,16177,19481,21588,17955,17892,31262,22029,19649,18046,15610,19068,21721,19572,18137,16289,18830,21875,19999,19383,17857,17724,22722,21777,19334,15995,18340,21476,20986,18704,16604,17696,19376,18354,17731,15169,16135,18634,16184,14623,14238,14462,15036,12446,11718,12684,12012,12810,11151,10332,10738,8610,7252,5096,2520,1274,371,245,168,70,140,63,28,0,28,2,1,1,2,1,0,3,1,1,1,3,3,0,0,1,2,2,1,1,0,3,3,1,1,2,3,2,3,0,3,1,3,3,1,0,2,1,0,3,1,1,2,3,1,1]
[2,1,0,2,1,1,3,3,1,2,2,3,3,1,1,1,3,35,35,3,42,28,42,77,63,56,70,112,140,175,98,196,245,350,406,518,728,854,896,1435,1862,2821,4865,6699,9499,12439,12754,10150,9639,10759,13034,12292,10087,9632,10843,12880,12250,10311,10178,11186,12705,13804,10220,10906,11921,12992,12411,9625,9989,11074,12957,12726,9443,9835,12012,12845,12383,9681,10290,14616,9779,18634,9632,10703,12768,12775,10360,9961,11053,12656,11690,9282,10073,11592,12530,12180,9268,10038,10395,12789,10955,8960,9639,10801,13636,11809,8554,9611,11438,12215,11109,8981,9345,11151,12320,11676,8855,10129,10703,10941,12117,9681,10024,12432,10115,10906,8071,9037,11130,11991,8505,6972,9156,11522,12600,11270,9289,9394,11739,12180,10276,9002,8869,10780,12089,9429,8260,9002,11039,12152,8897,7910,9107,10556,11718,9079,7777,9037,10948,12019,9604,8386,9135,11403,11774,9716,8078,9233,10549,10969,8890,7266,9352,10997,11018,8631,7518,8568,10325,10696,8897,7924,9226,10724,10906,8610,7896,8820,10577,10437,9961,6580,9457,10276,10395,7665,7588,8743,10542,10220,8729,7420,9240,11529,10724,14371,7308,10059,11291,8785,7308,8379,11858,9401,8939,7105,8127,10010,10661,9093,7196,8743,10255,10941,8596,7385,10423,8470,10570,8344,7077,8568,10010,10808,9114,7574,8218,10017,10150,7889,6916,8477,9793,10283,7707,7336,8309,10213,9877,7539,6622,8029,9744,10234,7812,6748,8750,9898,11200,6069,6979,8603,9723,10416,7609,6622,8113,9520,9800,7490,6531,8183,9800,9639,7154,6412,8225,9527,10087,7091,6272,8274,9800,9912,6643,6146,7693,9338,9184,7280,6006,7763,9478,9534,7119,6517,7861,9702,9821,7805,6727,9065,9555,10199,7686,6440,8435,9772,10710,8029,6531,9198,10339,9030,7308,6874,7945,10073,9156,7462,6342,8540,9716,9387,7350,6517,8106,9989,9184,10360,7301,9240,9079,7322,6566,7651,9814,9842,7777,6146,8127,9387,9569,7126,6160,7630,9520,9373,7567,6622,8001,10073,10220,7623,6846,8197,10129,10311,8281,7357,8463,10584,11375,8589,9065,10640,12971,14672,12390,11613,12621,14553,16030,16170,11060,13993,15750,16688,16366,14749,14644,16100,16093,15771,14098,14392,15120,16450,15358,15477,14154,16247,16744,16611,14826,14966,16261,17423,16457,14994,15267,15848,17185,15708,15190,15274,15946,17234,15806,14252,14826,15778,17234,16436,14672,14553,15218,16625,15694,14728,14630,15729,17535,15323,14686,15211,15596,16702,17059,15519,15295,17241,16996,16681,16002,15897,16107,17822,17409,15820,16352,17360,17864,17731,16863,15911,16492,17619,17339,17367,15953,17066,17388,18305,26887,15715,17031,17409,15911,15785,17185,18396,17318,17227,15701,15995,17850,18760,17178,16289,16177,17759,18214,17402,16548,16317,18025,18760,16674,15883,16716,18508,18753,16835,16856,17948,19131,19887,17514,17360,17248,18732,18347,17850,18697,14133,18606,18718,17388,16170,18053,19432,19628,17605,17815,17731,19474,19495,17388,16429,17178,20496,20020,18396,17052,18158,19369,20909,20636,17374,18011,19474,19418,17311,15715,15624,17486,16751,14385,14084,13853,14602,14574,12229,10787,11858,12677,12166,10542,9954,10955,11074,8680,5096,2674,1274,455,343,168,119,84,91,63,49,0,1,0,2,1,0,1,0,0,0,1,0,0,0,3,0,2,0,0,3,0,1,0,2,2,1,1,1,1,3,3,0,2,1,3,2,1,2,0,2,2,3,0,2,0,2]
[3,2,2,1,0,2,1,1,0,2,0,3,22,0,1,1,42,2,35,1,35,35,35,77,42,84,112,112,154,154,161,301,266,301,406,448,637,840,1708,1533,2184,2814,5026,7497,9100,8281,6489,6314,7693,8932,8603,6867,6419,7665,9205,8610,6076,6559,7420,8911,8547,6797,7567,8134,8862,8001,5740,6370,8085,9065,8463,6153,6615,7819,8869,8204,6279,6699,7784,9702,7917,6454,6776,8652,8932,8204,6363,6447,8281,9345,7784,5852,6188,8099,8673,6811,6195,7077,8078,8575,6636,5544,7021,8225,8365,6468,5502,6587,8393,8218,6811,5460,6839,8099,8582,6699,5775,7210,7168,8421,6146,6090,6888,8477,8456,6048,4998,5873,6461,7042,5040,4452,6041,8337,8092,6139,5922,6678,8022,8183,6293,6076,6839,8057,7336,5796,5768,6748,7616,7805,5901,5131,6433,7168,7693,5327,5089,6405,8099,7637,5593,5096,6622,13594,5901,5173,5614,6671,7042,5838,5040,6069,7105,7280,5614,5243,6076,7182,7756,5411,4375,5999,7609,7091,5320,5061,5215,7042,7350,5642,4900,5299,6356,6349,4991,4613,5502,7189,7070,5502,4522,6146,7259,7315,5446,4620,5677,6587,6419,4844,4921,5789,6776,6685,5243,5082,5558,7469,6699,5467,4298,5831,7266,6846,4627,5089,5782,6573,6314,4935,4935,5698,6993,5950,5019,4774,5558,7147,6776,5369,4452,5075,6853,5943,4662,4816,4984,6720,6111,4515,4256,5173,6664,6391,4333,3885,5495,6160,5733,4557,4508,5131,6524,5215,4298,4116,5166,6041,4991,4109,3822,5138,6643,5082,4214,4242,5453,6195,5593,3955,4354,4956,6167,5404,4053,3941,5089,10150,4669,3836,4795,5768,5754,4620,4319,4914,6286,5740,4648,4515,4949,6419,5999,4578,3885,5208,6356,5859,4879,4263,5145,6475,5964,4585,3906,5089,6384,5691,4767,4263,5026,6083,5796,4557,4277,5187,6328,6062,4424,4025,5285,6034,5684,4151,4487,5334,6769,5600,4221,4641,5313,6272,5915,4487,4333,5509,6790,5747,4312,4249,5544,6741,6300,4718,5194,5971,7301,6083,4417,4879,6174,7609,6741,5579,6503,8239,9786,9947,7994,8085,10129,11928,11571,12747,10318,12488,14427,12705,11235,10969,12691,14364,12999,10598,10822,13153,13391,12362,10626,10808,12726,13650,12572,11172,11424,12726,14371,12768,11592,11277,13510,14378,13265,10759,10458,12404,13279,12299,10787,10528,11914,23415,10262,10276,11795,13426,13419,10745,11032,12628,13741,13636,11431,10577,11529,14658,13783,10787,11270,11970,14987,13741,12698,11634,12908,14504,13349,11648,11676,12985,14623,14357,11900,11081,12838,14630,14168,12040,11571,12110,14224,14357,11795,11312,12726,14770,13951,11928,11627,13097,14931,14273,11788,11354,12516,14777,13405,12488,11858,11984,14357,14602,11921,10822,13517,14140,14392,12320,11788,12719,15736,15260,12502,11508,12859,14749,14658,12691,12320,14147,15463,15638,12873,11718,12985,15246,15141,13251,12670,13475,15568,15960,14224,12390,13993,15750,16107,14133,12936,13832,15911,18158,14714,13461,15050,15764,17570,15015,14028,14119,15764,17584,14175,12544,11949,14511,15106,11963,9835,10017,10745,11914,8960,7196,7854,16352,8344,7035,7308,8547,8904,6643,3605,1883,987,504,259,147,112,77,49,56,42,28,42,1,1,1,3,0,1,2,3,1,0,0,1,1,2,1,3,0,0,1,0,0,0,1,1,1,2,2,0,0,2,3,1,2,3,0,1,0,3,0,2,2,0,3,2,2]
[2,0,1,3,0,0,2,1,2,3,0,1,1,35,2,2,1,28,35,0,28,35,49,63,112,35,119,105,182,168,217,168,315,441,413,497,623,735,1001,1358,1932,2436,3192,4816,6622,7623,6664,5278,5495,7217,8029,7238,5810,6083,7140,8078,7259,5880,5677,7560,7882,6972,5698,6321,7098,7889,6440,5327,6125,7378,7770,6167,5642,5957,7469,7098,6356,5502,5922,7903,7427,6482,5509,6048,7896,7644,6524,5327,6181,8449,7875,6461,5537,5873,7707,7483,6426,5593,6055,7420,6776,5775,5089,6692,7154,7490,5376,5376,6300,7735,6916,5453,5194,6153,7287,6335,5530,5229,5607,6895,9856,4634,5663,7343,6629,5425,4599,5005,5684,6244,5348,4655,5726,6748,6580,6041,5110,5733,7140,6601,5390,5026,5558,6860,6258,5383,4921,5530,7329,6874,4865,4704,5390,6524,6048,5047,4879,5628,6769,6377,4830,4543,5586,6454,6328,4837,4578,5005,6167,5852,4914,4403,5334,6125,5390,4536,4571,5334,6699,5719,4417,4228,5376,6013,5467,4417,4200,5663,6132,5572,4711,4200,4774,5789,5229,4172,4039,4956,5670,5208,4228,4039,4977,5670,5313,4060,4592,4991,5453,5355,4396,4529,5355,5852,5194,4417,4564,5173,5852,5880,4291,4508,5691,5782,5411,3941,4095,5698,5411,4984,4228,3927,4907,5558,5159,4151,4067,5670,5733,4788,4067,3983,4956,5033,7371,4046,4508,4865,4452,3850,3941,4221,4907,4837,3829,3598,4550,4928,4725,4053,4011,4648,4935,4599,3717,3724,4536,4697,4382,3766,3766,4382,4627,4536,3465,3773,3878,4340,4403,3626,3556,4165,4620,3990,3458,3402,3948,4620,4480,3675,3556,4207,4536,4228,3794,3822,4270,4522,4620,3864,4095,4809,5355,4767,3661,3731,4879,5096,4788,3899,3927,4515,5208,4291,3605,3577,4767,5348,4242,3843,3612,4263,5033,4333,3360,3451,4165,5159,4242,3479,3801,4564,4648,4305,3507,3738,4480,4704,3948,3710,3766,4179,4893,3906,3241,3514,4592,5292,4123,3689,4242,4907,5278,5103,4081,4165,5502,5635,4662,4389,4361,5516,6174,5845,4977,6216,7735,8498,13013,7336,8967,10934,10269,8988,8918,11214,13363,12068,10521,9954,11382,13363,12348,10976,9716,11067,12621,12306,10332,9422,10899,13391,12362,10850,10143,12222,13650,13230,11074,10598,11340,13657,12425,10234,9982,11312,12817,12012,10521,8918,10976,12145,11844,10059,10066,11130,12747,12586,11235,10402,12124,14035,12299,10339,10073,10962,13041,12446,10836,9849,11725,13874,13489,9289,10192,11984,12999,12719,10766,10332,12005,13104,12173,10668,9667,11578,13279,11536,10430,9856,11123,12446,11935,10304,10983,10234,13202,11508,9947,9919,11347,12467,11445,9821,8918,10465,12313,12124,9786,9534,10654,12747,11480,10129,9555,11634,13132,12187,9989,10010,11172,13531,13356,11179,10703,11823,13160,13727,11249,11466,12341,14161,13286,19019,11627,13895,13601,13055,10717,11879,13909,14910,13363,11424,12096,14497,15687,14735,12894,12684,16002,17794,16289,14112,13909,15736,17773,16730,14308,13111,15281,16688,15484,13454,11480,12775,14539,12614,9828,9198,9758,10017,8848,7049,6608,8554,9303,7847,6293,5852,7462,7350,5257,3703,1645,798,413,329,126,105,84,56,49,28,56,42,28,1,2,0,2,1,2,2,2,0,0,0,2,3,0,1,0,1,0,3,2,0,3,0,1,1,1,3,3,0,2,0,0,0,3,1,3,2,1,0,3,1,3,3]
[0,0,2,0,3,2,2,2,1,0,2,1,1,3,28,28,2,2,28,35,3,1,35,63,49,119,91,84,133,189,203,238,322,343,392,595,644,791,1015,1610,2184,2779,4123,6909,9611,11879,10934,9107,8190,11403,12180,11466,8841,8743,11263,11963,11452,8967,8162,11529,12635,10759,8281,8918,11634,11844,10843,8806,8659,11606,12936,10136,8169,9520,12187,11599,10073,13454,10878,16401,10773,8764,9506,12047,12313,10584,8491,9611,11536,12537,9275,7728,9786,11970,12117,9597,8099,9058,11872,11830,9366,8351,9996,11809,11977,8799,7574,9604,11732,14105,7798,7679,11116,12110,10010,7511,7098,10227,11067,9597,7651,7791,10409,10850,9163,7266,7000,9387,11067,9135,7287,7763,9765,11291,10395,7532,7987,10171,11144,9058,7931,7469,10234,11536,9142,7644,7427,10640,11410,8988,7182,7525,10514,11305,8792,7105,7700,10409,10913,9331,6951,7357,10430,9765,7973,6664,7175,8981,10234,8561,6804,7420,10262,10059,8673,7140,7763,10185,10465,7931,6363,8008,10108,9989,7147,6412,7049,9443,9940,7882,6279,7315,9492,9219,7217,5985,7497,9485,9674,8078,6181,13874,10374,8610,6482,6720,9415,10199,8141,6097,6069,8953,9884,8428,7112,6503,8988,10262,8386,6405,7000,9513,9989,8316,6174,6531,9429,9800,7567,5845,6321,8778,9100,7924,5901,7021,9310,9471,7511,6048,6132,9023,8834,7259,5432,6034,8393,9121,7434,5852,6279,8246,8820,6671,5551,6097,9079,8799,7112,5705,6104,8316,8715,6727,4977,6048,8498,8190,6958,5320,6384,8036,8295,6048,4879,5600,7679,8064,5488,4767,5726,8386,8400,6216,4627,5572,7763,8071,6510,5173,5509,7385,8757,5362,5201,6104,8708,8687,6559,5103,6419,8071,8862,6685,5103,5992,8743,8652,6671,5005,6265,8036,8099,6153,4893,6566,8974,8036,6083,4613,5929,7735,8456,5936,4900,11424,8008,6804,5103,5523,6986,8008,6237,4830,5243,8197,8477,6594,4837,5852,7763,7721,6433,5264,5600,7588,8491,6139,5278,5866,9058,9142,7217,5586,6251,8862,9282,7553,6097,6825,9919,10675,8911,7749,9569,12964,13286,13006,10248,12047,14007,15848,14105,11984,13720,16240,17472,16597,13174,15540,17591,17472,17206,12852,14140,16401,16233,15386,14007,15092,16597,18571,16289,13594,14483,16317,17031,16534,14434,14329,16366,17101,16926,13958,14644,16674,17661,15477,13027,13888,16170,17017,16177,13419,14448,16688,16702,17087,14294,15036,16590,17052,16163,13412,14910,16289,16688,16359,12684,13552,15659,17010,15813,13090,14168,16282,16793,16065,12495,13461,16905,16863,15925,12481,13048,15911,17206,15127,12670,24822,15960,16331,13468,12516,15960,16352,15414,12873,11949,15197,15694,14931,12369,11529,15694,16527,15169,12180,11634,16149,17010,16037,12852,12355,16387,17948,16275,14511,14518,16296,18074,18305,15113,14168,17199,17584,18291,16016,13888,17269,18466,19159,15155,14112,17556,18389,18725,16471,14889,17654,18900,19775,16443,14476,17101,18067,20727,18886,17458,18298,19369,21014,19467,17780,18746,18620,20524,19957,17178,18900,19208,20874,18032,16499,16499,17689,16933,15351,12551,13370,14574,13811,11921,9429,10997,12761,11284,10584,8288,9415,10087,7434,5495,2485,1190,595,259,203,119,77,49,56,42,3,0,2,3,28,0,0,1,3,3,0,3,3,2,3,3,3,0,3,3,2,0,1,2,0,3,0,3,2,2,2,2,2,1,0,1,2,3,2,2,1,1,3,0,1,0,0]
[0,3,3,3,3,2,3,2,0,2,1,1,0,2,3,2,35,2,28,28,70,84,91,63,77,105,70,182,182,147,189,238,273,616,539,616,826,980,1246,1890,2772,4739,6244,9030,10591,12873,11634,9436,10465,11795,13783,11613,10108,10717,11571,13594,11760,10521,11347,12194,14210,11067,10255,11648,11508,13692,10374,10339,10808,12131,12887,11382,10325,10878,12285,13251,10920,10486,10892,12943,13818,10388,10920,11620,12530,12670,10689,10395,11011,12705,12908,10416,9996,10913,12621,12523,9758,10444,11298,13314,12831,10164,10157,10521,12397,13090,9681,10731,10710,12243,11977,9709,10087,11039,11809,11774,8904,9639,9947,11655,12117,9051,9940,10465,12159,11305,8974,9261,10157,12243,11060,9177,9429,10682,11816,10717,8743,9667,10332,11970,11081,9051,10101,10570,12278,11165,9198,9842,10297,12292,10122,8505,9149,10556,11837,9919,8505,9597,18179,10731,8393,8596,9982,11508,11095,8155,8995,10171,11557,11137,8029,8946,9947,11543,11347,8505,9667,10031,11683,10528,8015,9037,9611,11228,10626,7644,8596,10108,11305,9954,7875,8701,10171,11438,9982,8393,8834,10332,11508,10388,7749,8932,10612,10535,10297,8092,9457,9884,11725,9660,8442,8267,10542,11151,9849,7826,8680,10192,11312,10794,7735,9226,10430,11963,10108,7609,8561,9940,11487,9464,7490,9394,9541,11683,9086,7917,9254,10213,10948,9296,6986,8925,9779,11102,9184,6909,8736,9569,11158,8708,7182,8995,9800,11074,8554,7266,9226,9100,10962,8680,6699,8526,9779,10479,8519,6412,8617,9723,10598,8008,6888,8708,9772,10185,7567,6503,8232,9107,9807,7441,6895,8505,15799,8554,6300,7791,9261,10017,8470,6713,7602,9303,10038,8827,6447,8239,9856,10535,9681,6993,8316,9499,10185,8575,7119,8463,9744,10059,8316,6720,8162,9359,10311,8078,6944,8638,9541,9702,8540,6286,8071,9646,10325,8232,6489,8519,9891,10297,8470,6181,8337,8995,10045,7455,6314,8645,9338,10318,7609,6608,8190,9534,9639,7917,6657,8827,9828,10563,7791,6804,8715,9751,10780,8204,6881,8848,10325,10759,8631,7945,9450,11130,13069,9947,10563,10528,12509,15393,14217,11858,13426,13881,17178,15820,14308,14847,14427,18704,17388,15526,14987,15015,17857,17367,14784,15064,14742,17213,17661,15610,14777,15190,18585,18410,15918,15337,15610,17150,16807,16527,14763,14889,18634,17073,14994,15295,14322,29064,15183,14861,14651,17276,18396,15722,15477,14833,17353,18445,16296,15463,15099,17024,17472,15078,15386,14245,15547,16541,14721,13734,13825,15190,17199,14616,15057,14364,15190,16219,14371,14742,13734,15274,16016,14756,14224,13447,14805,15673,13993,13867,13202,15162,16506,12999,13559,13468,14315,16282,13909,13286,13587,15092,16373,13195,13090,14168,15281,15736,13174,13531,13230,16380,16891,13825,14315,14182,15883,17626,14728,14490,14609,16443,18312,15715,15631,15561,16730,18263,15806,15764,15302,17598,19299,16191,16086,15113,16926,19390,16121,15659,15687,16940,19705,17976,16457,15806,17339,20391,19320,18130,17045,18760,22204,20146,18746,17787,17444,20720,19929,19117,17108,16849,20552,19222,17640,15890,15512,17178,15848,14623,14203,23821,12236,10626,11746,10661,12327,11858,10178,9877,9415,7707,5985,2737,1260,469,357,154,126,112,84,42,28,35,0,0,28,2,3,1,1,3,1,2,1,1,0,0,0,3,1,2,1,0,3,1,0,0,0,2,3,3,0,0,3,3,3,3,1,1,2,0,0,0,3,3,0,1,2,2]
[1,0,1,1,0,3,2,2,3,0,1,3,2,2,2,3,3,28,3,3,35,56,77,91,105,77,98,105,105,161,175,273,224,392,518,504,679,770,1204,1729,2058,3066,5383,8694,10752,10129,8589,7854,8848,10864,11627,8687,8477,9009,11648,10801,9191,8932,9177,11795,11284,8694,7756,9408,11809,11053,8554,7126,9443,11557,14028,8043,8946,9716,11123,9695,7945,9681,10976,11949,10213,7602,8288,11501,11130,9254,8225,8757,10556,11242,8799,7833,9359,10339,11641,8722,7826,9366,10997,11676,9170,7413,8554,10549,10801,8820,7588,8778,10213,10437,8995,7427,9275,10941,11123,12908,7882,9534,9954,9093,7245,7357,9611,10878,8554,6951,8372,9583,10402,8470,7028,8428,10129,10444,7903,6965,7945,9485,10409,8512,6860,8204,10395,10136,8694,6762,8148,9562,9870,7259,6454,7147,9345,9632,8337,6104,7504,9576,9275,7161,5866,7049,9408,9226,7504,6034,7448,9541,9149,7476,6349,7623,9121,9044,7560,6328,7665,9065,9289,7175,5642,7287,9177,8729,6776,6111,7280,9814,9044,7007,6370,8449,9429,9884,7224,6062,7399,9184,8841,6776,6468,7280,9464,9821,7091,6762,8092,9394,8449,6090,6139,7630,9366,8883,6636,5992,7882,9275,9044,6783,6419,7714,9415,8799,7063,6573,7994,9667,8225,6118,5838,8099,9660,8169,6594,6055,7210,9128,8085,10297,6860,8596,8484,6832,5404,6986,9198,8253,6615,5747,6881,8722,8883,6650,5901,6636,8155,8435,6370,5908,6923,8988,8260,6174,5159,6692,8771,8505,5481,5677,6699,8701,8617,5782,5446,6622,8267,7798,5572,5565,7259,9002,7917,5222,4781,6475,7931,7903,6055,5222,6958,8190,7616,6097,6027,7154,8757,7931,5887,5495,7154,8701,7714,6384,5334,7497,9429,8400,6125,5817,6825,8323,7616,5558,6125,6895,8211,7616,5264,5215,7441,8925,8442,6153,5117,7616,8736,7903,5446,5502,7553,8435,7721,5446,5474,6832,8358,7518,5551,5348,6727,8267,8092,6006,5467,7609,8435,7672,5691,5873,7245,8820,7203,6097,5782,8050,9079,7686,6146,6594,8365,10290,9191,13321,10556,12481,12593,10605,10115,10738,14287,13405,12369,11914,12551,14581,15491,13832,13587,13258,15855,16009,13118,12271,12362,15092,15890,13384,12922,13643,15617,16219,14924,13132,12922,15197,16240,13664,12544,13468,14798,15729,13503,12495,12789,15330,15603,13580,13132,13496,15085,16569,14231,12488,14252,16660,16219,14350,13685,13818,15806,16821,14539,12733,13272,15155,14665,12033,11606,11424,13783,13181,12271,11592,11914,13650,14238,11935,14987,11837,14231,13006,11774,10955,11501,13636,12418,10766,10563,11844,13202,11914,10885,10164,11781,12803,12537,10605,10878,11725,13685,12859,10745,10570,11949,13993,12362,10507,10570,12012,14182,13734,10367,11144,13160,15309,14623,12320,11466,13727,15519,15631,13671,12355,14861,16100,15757,21140,12873,15162,15911,13874,12593,13132,16352,16513,14980,12915,14126,15799,17633,15771,14140,13986,17402,18620,16149,15757,15680,17269,21196,17843,16758,15645,18935,19887,18977,16940,15435,17822,20699,18235,14973,14259,15701,16968,15246,11956,11543,12677,13776,11781,8932,8876,11200,12068,10136,8162,8813,9128,9429,7014,3899,1687,868,546,245,182,77,63,91,70,49,2,28,3,1,1,0,0,2,3,0,3,0,3,0,0,0,3,0,3,3,2,1,2,0,3,1,1,1,2,2,0,3,0,3,2,1,0,1,1,0,2,1,3,0,1,1,1]
[0,1,2,1,2,1,2,0,0,3,0,1,1,3,1,0,35,0,35,35,42,63,42,84,77,70,70,84,105,196,203,259,217,301,420,602,672,588,945,1260,1743,2429,2884,4753,6615,7455,6139,5712,5866,7273,7791,6860,5558,5649,7231,7399,6923,5677,6097,7294,8169,6888,5257,5992,6818,8337,6748,5516,5705,7322,7490,6727,9772,6650,7840,6370,5285,5642,7007,7826,7133,5495,5656,7448,7525,6825,5712,6041,6811,7490,6335,5285,5278,6916,7728,6146,5082,5348,6727,7406,6328,5145,5544,6734,7462,6363,5551,5355,7056,7455,6048,4655,5803,7280,7154,6006,5012,5845,6825,7182,5964,5215,5838,6629,7126,5985,4711,5306,6860,7140,5663,4914,6034,7021,6888,5488,4823,5978,6391,6762,5320,4648,6076,7196,6965,5299,4452,5691,6755,6762,5096,4599,5222,6594,6244,5075,4249,5425,6202,6160,4711,4193,5166,6293,5845,4858,4389,5390,6104,5740,4676,4599,4935,5852,6020,4760,4284,5208,6440,5992,4396,4046,5285,6244,5691,4382,4452,5278,6447,5901,4711,4263,5390,6181,5607,4837,7721,5642,5985,4970,4270,4718,6566,6370,5180,4515,4823,6216,6069,4823,3773,4914,5936,5614,4767,4319,5264,5831,6069,4823,4172,4732,6517,5663,4522,4515,4851,5635,6041,4354,4039,4921,5789,5453,4172,4081,4690,5838,5124,4193,4067,5026,5558,5327,4207,3878,4781,5677,5474,4410,4004,4956,5943,5341,4053,3710,4529,5642,5131,4053,4025,5124,6006,4760,3955,3444,4473,5180,4823,3647,3948,4410,5558,5649,3703,3647,4431,5481,4613,3668,3626,4662,5243,4473,3346,3500,4522,5068,4662,3703,3766,4949,5208,4802,3794,3598,4802,6048,4795,4018,3962,4704,5299,4690,3689,3780,4718,5614,4900,3983,3885,5075,5019,4655,3843,3962,4655,5341,4284,3514,6937,5250,5166,3948,3822,4669,5390,5404,3780,3549,4543,5348,4718,3570,3416,4368,5257,4529,3598,3703,4494,5565,4732,3836,3570,5075,5509,4550,3787,3780,4676,5558,5124,3927,4151,4900,6118,5278,4039,4515,5789,7098,6713,5677,5838,7938,10003,9485,7399,7469,8925,10787,10969,7980,8561,10269,12663,11942,9765,9240,10745,11949,11354,10080,9226,10514,11578,12124,9457,8981,11109,12670,12740,10682,10017,11431,12607,12180,10143,9793,10773,12152,11606,9912,9387,10808,11886,12096,10101,9184,11025,12817,13069,11053,10339,11375,13685,13391,10829,10276,10941,12446,12761,9660,8862,9583,10682,9247,7210,6734,8701,9730,8701,7266,7182,8337,8890,8603,7630,7357,7665,9254,8890,7042,6853,14511,8743,6860,6377,7476,7917,9233,6762,5824,7252,8904,8988,7665,6503,7672,8876,9520,7413,6657,7630,9443,9240,7644,7084,7840,9919,9933,8239,8022,8379,10801,11606,9870,8953,9324,11417,13083,9625,9695,10073,12523,12880,11109,10710,10017,11823,13363,12019,9429,9968,12572,14504,11970,10990,10878,12852,13622,12082,11263,11172,13734,14728,14119,12789,12726,15246,17815,15519,13321,13461,15344,17227,15666,13258,13342,14287,15729,14826,12299,11417,12943,13874,13279,10017,9065,9716,10157,9240,6902,6706,7119,8862,7469,5866,5726,6895,7217,5747,3430,1526,812,357,280,189,133,91,84,56,77,0,28,0,1,2,1,3,1,1,3,2,0,3,0,1,2,0,1,2,0,0,3,0,1,2,0,1,1,3,3,0,3,3,0,2,1,3,1,1,3,3,1,2,0,0,1]
[0,2,3,0,2,2,1,2,1,1,1,0,0,3,3,3,28,2,1,3,42,1,77,28,42,112,91,182,175,245,231,238,329,315,476,532,784,896,1183,1575,2065,3010,4081,6524,8666,8610,7609,6125,6741,9779,9233,7280,6258,7350,8638,9359,7777,6286,7504,8932,9660,7350,6314,7287,9401,8911,6965,6181,7350,9156,8645,7280,5978,7630,8960,8505,6888,6475,8344,8610,8918,7042,6818,8407,10073,8379,6685,5971,7959,8981,8295,6230,6076,7728,8974,8015,6265,6244,7707,8911,8106,6727,6216,8344,9261,8456,6209,5894,7392,9359,8057,6069,6370,8253,8995,8099,6230,6006,7735,8302,7350,5866,6461,7917,8442,7070,5544,6426,8351,8694,7420,5859,6384,7917,9394,6965,5859,6412,8127,8302,6811,5747,6314,7924,8575,7252,5474,5887,7791,8232,7021,5565,5635,7413,11830,5222,5047,6573,7434,6804,5131,5033,6727,7399,6888,5383,5383,6643,7406,6734,5432,5187,6202,7644,5950,4697,5586,6832,7497,6727,5138,5082,6622,7336,5950,5229,4949,7252,7154,6272,4984,5110,6895,7735,6090,5285,5103,6636,8015,6342,4830,5719,6643,7791,6916,5047,5551,7084,7175,6167,5026,5439,7154,7364,6678,4886,5194,7084,7581,6195,4795,5243,6902,7385,6237,4991,5292,7056,6944,5677,4627,5180,7070,7406,5187,5047,5271,6734,7420,5726,4746,4935,6419,7154,5614,4571,4991,6076,6881,5621,4802,5068,6727,6783,5677,4578,5509,6706,6559,5495,4620,4998,6160,6440,5579,4424,4970,6286,6244,4977,4305,5271,6195,6615,4837,4291,4739,6398,10178,4298,4172,5131,6244,5257,3955,4242,5719,5775,4578,4130,4305,5012,6314,5075,3913,4900,6321,6657,5516,4235,4389,5719,6692,5453,4473,4690,6748,6741,5397,4501,5096,6244,6531,5656,4151,4536,6286,6335,5404,4130,4284,5327,6104,4851,4095,4711,6293,5964,4697,3591,4487,5313,5733,4655,3843,4620,5502,6398,5082,4151,4340,5446,5586,4459,3948,4858,5859,6062,4683,3850,5194,5957,6440,4977,4116,4830,6440,6356,5796,5229,6755,9821,7539,8064,6881,9310,10997,12404,10353,8855,10192,12439,13454,11984,9541,11382,14035,13629,11900,10206,11844,14133,13335,11704,9709,10927,14560,14133,12572,10535,11522,15484,15036,13965,11984,11977,14511,14693,12971,10640,14091,13734,22806,11347,11277,13419,15701,13916,11592,11606,14427,15155,14161,13013,12299,15540,16590,14882,13006,11753,14294,15183,12341,9975,8365,8085,7833,6846,5761,5859,7245,7553,6279,5957,5852,7889,7455,6524,5481,6062,6839,7791,6013,5551,5824,7070,7532,6517,5306,6069,7490,7777,6762,5824,6307,8274,7973,7259,5740,6867,8939,9128,7504,6916,7063,9758,11354,8813,7511,8673,11641,12124,11844,9401,10129,13076,14217,13300,11228,11592,13349,15897,14203,11585,11683,14441,15596,15386,12768,12033,14483,16177,15351,13755,12621,15008,16996,15050,14133,13377,16205,17451,15953,14763,13531,15904,18655,17948,15995,14910,17612,19530,19901,17451,15603,17640,20524,18403,16646,14952,17766,19026,18949,16107,14350,15526,18039,25235,11417,11277,12929,12019,10465,8512,8148,10325,10192,8316,6286,7259,8281,7721,5544,3031,1078,462,315,217,105,63,56,98,28,2,42,0,3,3,2,2,2,2,2,2,2,2,2,2,3,2,1,1,1,0,2,0,0,0,1,3,1,1,3,2,2,3,2,1,3,3,3,2,2,1,3,3,3,3,1,0]
[2,2,1,3,3,0,0,0,2,1,2,0,0,0,35,0,28,0,1,28,35,49,63,119,63,91,91,133,175,203,280,287,231,301,350,462,707,721,987,1176,1876,2807,4214,6482,9079,10899,12194,9254,9058,11529,12677,13237,10402,9303,10752,12453,13083,10185,9835,10801,11802,13202,10178,9387,11165,12054,13090,9856,10164,20335,13720,10927,9632,11480,12446,13447,10108,9604,11291,12761,17675,9982,9982,11284,12922,13349,10150,10332,11249,12817,12110,9681,10325,12187,12936,10738,8883,9737,11403,12663,10773,9016,9527,11319,12243,11655,9198,10227,11396,12243,10808,8743,10234,10710,12446,11025,8519,9856,11753,12411,10913,8603,9716,10969,11991,9954,7826,9814,11956,12061,9282,8015,9359,11298,12467,10472,8680,9919,10465,11186,9534,8253,9422,11186,11935,9772,8344,9254,11088,11347,9247,7805,9716,11648,11935,8911,7875,9828,11067,10906,8428,7896,9275,10094,10500,8512,7721,9506,10556,10934,8071,7651,9254,11088,10192,7910,7854,9681,11809,11088,8792,7994,9828,11935,9772,7602,7665,9352,10668,10612,6902,7357,8792,17549,8582,7665,9219,10633,11165,8463,7448,9079,10423,11151,8771,7308,9317,10248,11305,8435,7553,8365,10836,10969,8764,7322,8855,10136,10584,7672,7553,9548,10577,11165,8365,7070,8652,10710,10367,7854,6923,9170,10465,10052,7637,6804,9212,10220,10360,7280,6797,8400,10682,9786,7812,6881,9142,9905,9786,8127,6853,8533,10416,10283,7665,6720,8680,9786,10353,7252,7224,8687,9576,9618,6671,6573,8568,9856,9940,6496,6384,8750,9884,9093,6839,7049,8820,9870,9814,7231,6748,8946,9912,8904,6706,6160,8414,9884,9513,6755,6755,9345,9618,9191,6783,7315,8673,10416,9373,6356,7049,9254,9947,9282,6846,6839,9100,9940,9387,6909,7091,9457,10458,8981,7259,6860,9303,15897,7763,6034,8414,9555,9240,7511,6622,8463,10255,10374,7336,6377,8764,9863,9800,6517,6223,8148,9499,9863,6664,6587,8337,9842,8722,6335,6944,8498,9625,9079,6265,6629,8372,9807,9121,6902,6825,8946,10437,10290,8050,8204,10899,12334,13797,10983,10178,12677,13622,15414,13426,12796,12999,15169,15176,13132,12943,13286,15064,16317,14994,12824,13370,15127,15267,14469,13566,13132,15442,17087,14651,13104,14749,17101,16646,15225,14931,14476,16030,16961,15568,14105,14644,16114,16506,14903,14000,14973,15911,16513,15694,14581,15365,16156,17150,16121,15365,15001,16744,16807,15701,15421,15008,14847,14014,11627,9702,10913,11823,9982,6454,6818,8869,11081,8967,6405,6531,8400,10556,9548,6503,6783,8911,16947,7266,6531,8400,11018,10843,7497,6706,8967,11515,11382,8218,7042,8869,11872,12376,9135,7637,9821,12026,12551,9646,8246,10535,12803,14539,12439,9905,12124,14098,15449,13468,11851,12271,15589,16520,16499,14504,14700,16233,17472,16730,14644,14966,16282,17556,16520,14854,15260,15918,16968,17675,15617,14560,16548,17360,17409,15596,15064,16604,18340,17619,15666,16646,16926,18893,19355,16912,16366,18172,20377,20776,19453,17605,18102,19908,20034,18403,17731,17584,17892,19635,17962,17206,17185,17486,17101,14616,13846,14840,14693,13251,11452,11242,11389,12446,11515,9464,9506,9842,9849,6909,4480,1813,875,420,203,231,140,84,49,49,49,35,28,2,2,1,1,1,3,3,1,2,2,2,3,2,3,2,3,1,1,3,2,2,1,2,2,1,1,0,3,3,3,1,1,3,2,3,1,2,3,2,1,1,2,3,3]
[2,0,2,2,1,2,3,1,1,0,1,2,1,0,0,1,1,35,35,35,42,28,42,42,119,98,84,112,112,112,203,203,301,231,455,574,406,756,980,1288,3493,3409,5964,7721,9800,11543,10857,9254,9835,11396,12201,11662,9632,10402,11739,12670,11459,9646,10948,12250,12705,11536,9226,11305,12397,13293,11893,8995,10962,12047,12159,10682,9156,10598,11235,12789,10920,9107,10416,11697,12586,10626,9814,10794,12194,12509,10444,9275,11046,12019,12516,9254,8953,10787,11963,12243,9191,9009,10759,12817,12803,10017,9814,11858,12089,12600,8827,9233,11039,12544,12236,9149,9282,10367,11410,12152,9562,9933,11263,13083,12180,8708,8869,10640,11263,11711,8841,8092,9863,11620,11207,8848,9016,10402,12131,11151,8393,9219,10626,11970,10479,8225,7980,10444,13328,8792,8232,8785,10059,10815,9870,7441,8785,9982,11389,9849,7623,8127,11102,11690,10276,7574,8428,10605,18907,8183,8918,9597,10997,10990,7987,7861,9611,10682,10521,8099,8351,10409,11298,9716,7973,8029,9611,10738,9121,7336,7455,8729,10185,9751,7140,7763,9338,10430,9870,7518,7728,10038,11053,10360,7847,8491,9478,10913,11095,7882,8547,10059,11179,9835,6867,8225,9695,10871,9772,7455,7784,10031,10339,9051,7273,8148,9380,10486,9156,7455,7875,9919,10486,8995,6825,8022,9555,10409,9121,7021,8106,9884,10871,8281,7182,7903,9359,10514,8932,6790,7525,9912,10605,8645,6727,7455,9338,10143,8547,6776,7770,9541,9835,8785,6307,7553,9877,9919,8764,6307,7581,9590,9779,8526,6426,7476,9716,9702,8386,6405,7588,9562,10374,8092,6153,7231,9422,9310,7679,6048,7644,9863,15344,6510,6741,9261,10157,7910,6776,6860,8750,10262,9289,6244,7259,9289,9716,9646,5740,7280,8330,9184,8792,6251,6860,8827,9373,8652,6699,7609,9093,9905,8225,6482,6909,8652,10241,7847,6181,6699,9121,9156,8323,6160,7350,8939,9114,7413,6034,7042,9247,9758,7539,6524,7476,9590,9422,8113,6307,7238,9233,10164,8120,6104,7672,9772,9996,7196,6055,7714,9842,9800,8372,6664,8141,10584,11725,10570,9492,10689,12222,12670,12950,11305,11928,13846,14623,13349,11669,12180,13125,15274,15862,12845,12943,14357,16212,15330,14609,13692,14980,14308,14301,13965,13412,13580,12838,12334,10745,10626,11256,10255,9072,7168,8358,9429,10584,8134,7000,8372,9478,9968,9639,7987,9233,11753,13237,18865,12474,11137,13839,14224,13867,13027,13888,14560,14560,13048,12719,13328,12929,13853,13314,13006,13405,12656,14231,12579,12698,11928,13895,13846,13552,12586,13272,13685,14602,13272,13286,12964,13881,14693,13650,12460,13181,14021,14553,13692,12453,13118,14077,15351,14525,13902,13370,14581,16870,15421,14553,13839,14301,15295,15127,14063,14812,15204,15183,14602,13671,14854,14833,16569,15064,14469,15351,16359,15414,15806,15771,14756,16219,16758,15715,15505,15463,16296,17486,16079,14651,15344,17136,16408,15120,14994,15085,16968,17444,16303,16254,15967,18907,18431,17367,17262,16555,17297,19222,17780,17479,17178,18046,18760,18963,18403,16905,17941,18907,17346,16891,16268,16338,16625,16163,12740,13041,13230,12117,10080,9268,9723,10381,17906,8603,7805,9814,8323,5586,3178,1575,602,245,147,105,112,56,35,28,2,49,1,3,2,3,0,2,3,3,3,1,2,3,2,0,2,2,0,3,2,0,3,2,0,0,0,3,0,0,0,0,0,0,3,3,3,0,2,1,0,1,2,2,2,3,3]
[3,2,0,0,1,2,2,0,2,0,3,2,2,28,0,35,0,49,35,49,91,105,77,63,112,154,189,182,189,315,385,483,539,616,714,1015,1204,1673,2814,5103,7014,8659,15127,16128,8834,10556,11417,13069,12173,9961,10052,11823,13657,11676,10647,10983,11347,13335,11683,9513,11193,11270,13251,11473,8883,10682,11081,12922,10780,9569,11011,11697,12866,10864,9233,11242,10598,12705,10668,9821,11032,11641,13335,10507,9660,10605,11221,12411,10045,9702,11746,11319,13118,11557,9492,10976,11137,12621,10248,16884,11277,13440,10773,9695,10808,11025,13405,10444,9009,10654,10899,17199,9597,9996,10227,12355,13146,10087,9702,9989,12509,10738,8813,8883,10423,12047,11375,8918,10143,9632,12719,11718,8561,9723,10388,11830,11109,9086,9436,9842,11501,11158,8407,9877,9954,12159,11452,8589,9632,9912,11592,11473,8491,9086,10129,11417,10220,7581,9401,9905,11718,10647,7714,9191,10437,11186,10822,8036,9268,9429,11536,10465,7245,8834,9590,11879,10206,7784,9548,10185,11487,9527,7035,9583,9128,12334,9597,8092,9240,9912,11291,9604,8680,11298,9002,11606,9191,7882,8981,8988,11935,9646,8029,8757,10283,11543,9415,7336,8995,9835,11809,9611,7406,9142,10297,11438,9198,7686,9394,9968,14112,7791,8106,16240,11550,9135,7203,8974,9590,11305,8596,7553,8904,9618,10934,8708,6979,8603,9856,10437,8113,7105,8701,9408,10647,8400,7434,9128,10374,10598,8197,7203,8729,10136,9730,7441,7350,9037,9898,10325,7315,9940,8652,9968,9142,6104,7189,8470,9695,9030,6321,7532,8792,9597,9401,7021,7644,12313,9443,7511,6104,8379,8435,14448,6559,6902,8484,9541,9842,6713,6741,12579,9163,9177,6769,8470,9086,14406,7112,6363,7938,9247,10129,7301,10101,8799,9590,9261,6230,6573,11949,10017,8162,6048,7686,9268,9905,10360,5894,8330,9380,10101,6629,6335,8141,9303,9303,7168,6699,9079,9296,10206,6573,6328,8708,9800,10892,6426,7049,9016,9436,9555,6783,6629,15036,11158,8351,6454,8757,9632,10990,8386,6818,8246,10220,11053,8561,7280,9058,11039,11466,8890,7273,9464,10843,11718,9345,7679,10171,11403,14343,11550,10199,10948,12082,14651,12292,11123,11382,12173,13419,13097,11004,12313,11823,11634,10661,6783,8659,8071,7490,4480,3234,5334,7735,5369,3192,3094,5285,8778,8687,6643,7427,8862,10269,10682,9765,7945,8316,8827,8652,6356,3535,6783,8022,7378,4578,4319,6797,8463,8260,5432,5236,7147,8673,8071,6643,4907,7007,8806,8190,6727,5796,7462,8848,9527,6923,5432,10395,8547,8855,8085,6195,8701,10087,11816,10038,8057,9723,11004,13300,10955,9555,10640,11753,13370,13986,11431,12446,12173,14735,14098,12593,11921,12866,14518,15274,12299,12334,23849,14749,13097,13321,12978,14028,15036,13615,13034,13475,14721,16135,13839,13587,13608,15225,17374,14819,14679,14651,16548,18088,15848,15211,14042,16338,18179,16779,15946,15708,17766,19866,18319,17087,15981,17031,19985,18179,17220,16744,16905,20447,26166,17591,16597,17059,19047,17164,16408,14896,15645,15617,13594,17808,12579,13013,11025,8505,10108,9590,9576,9422,8078,12929,6384,8939,3661,1505,560,343,182,140,84,35,56,63,3,3,0,3,0,3,1,3,3,1,1,0,1,0,0,0,1,0,3,2,3,3,2,0,2,0,3,3,3,2,2,3,0,3,3,0,2,2,0,2,3,0,3,2,1,2,0,0,0,1,1,2,1,3,0]
[0,1,1,28,1,0,0,0,0,3,2,1,0,1,0,0,35,35,1,28,35,70,77,91,63,126,119,126,161,140,126,210,315,371,336,420,588,693,882,1302,1722,2380,3451,5348,7553,9016,8099,6440,6580,8162,9723,8799,6867,6489,8589,9702,7658,6818,6671,8015,8848,9079,6706,7259,9079,9051,7798,6321,6307,9128,9499,8267,6524,6846,8652,9310,7959,6377,6503,8680,9240,12208,6692,8449,9506,8820,6601,6216,8106,9436,7665,5978,6398,7728,9513,7672,6104,6622,8078,8981,7994,5635,6594,8652,9443,7910,6174,6580,8134,9408,7455,5642,6944,8099,9254,7651,6279,7161,8274,9331,7714,5572,6391,8281,8505,7322,5642,6650,8470,8596,7357,5670,6818,7861,8463,6629,5432,6741,8253,8393,6559,5411,6209,8113,7784,6405,5621,6279,7903,8372,6370,5425,6741,8946,7987,6307,5285,5775,7791,7924,5726,4998,5950,7966,7770,5733,5271,5831,7595,7686,5628,4900,6160,7231,7469,5068,5229,5978,7847,8204,5460,5222,6139,7623,7364,5775,5096,6251,7798,7560,5719,5278,5964,7490,7252,5530,5418,6286,7252,7105,5432,4627,6069,7497,7280,8428,5411,6888,7462,5628,5180,5733,6713,7532,5936,4865,5936,6930,6825,5726,4802,5691,7490,8057,6132,5110,6328,7896,7315,5838,4718,5558,7980,7280,5446,4809,5817,7280,7273,5705,4802,5439,7805,7392,5341,4620,5754,7140,6468,5208,4263,5488,7098,6839,4781,4543,5768,6804,6601,4879,4928,5887,6902,6251,4949,4375,5509,6447,6125,4914,4515,5376,6979,5782,4655,4494,5187,6874,6363,4522,4403,5306,6860,6076,4417,4480,5068,7007,5789,4389,4263,5369,6937,6167,4081,4543,5677,6391,6125,4599,4438,5901,7119,6055,4382,4536,5726,6678,5299,4550,4277,5642,7014,5894,4375,4396,5705,6972,6125,3661,4522,5789,7105,5607,4480,4746,5663,7000,5782,6881,5432,6930,5964,4123,4354,5292,6741,5936,4753,4046,5103,6783,5985,4228,3612,5327,6300,5719,4396,3948,5761,6769,6167,4767,4172,5299,6839,5985,4697,4319,5362,6671,6216,4487,4536,5915,6720,6307,5026,4228,5327,6825,6216,5096,5033,6608,8442,8750,7511,8015,10346,12600,11865,9695,9555,11536,13524,12719,10584,10115,10521,12481,11725,9380,6636,6356,7315,6496,4487,3430,4361,5040,4788,3885,3801,4858,6251,6195,5187,4928,6132,8281,7770,4662,3983,5068,4844,4102,3066,2793,3675,4403,3878,3143,2751,4060,5089,4585,3444,3416,4221,5593,5173,4025,3577,4809,5593,4879,4039,4207,5173,6496,5761,4235,4116,5327,6636,6055,4648,4200,5257,6734,6258,5348,9436,7420,7812,6979,5194,7434,9471,9933,8337,6622,7987,9926,10444,8694,7182,8337,9863,11431,8750,7910,8393,11095,10997,9527,8211,8792,11123,12369,9807,8211,9212,11578,12677,11144,9716,10808,11956,13433,12390,10346,11683,13244,14679,12929,10892,11368,12362,14525,13930,11445,11893,13685,15918,14084,12873,12810,14049,17374,16184,14581,14217,14875,18025,16954,13531,12992,14532,16450,14833,12201,12299,13321,14455,12922,10521,9170,9527,10731,9324,6559,6531,7238,8820,7742,6083,5824,6720,8106,6272,3542,1757,945,518,259,175,91,112,112,42,56,63,2,3,2,0,2,2,0,2,3,0,3,1,2,2,3,1,1,0,0,2,2,3,1,0,2,1,1,2,1,0,2,1,1,2,0,0,1,2,1,2,2,2,0,2,2]
[0,1,3,2,2,0,2,0,1,3,3,2,1,0,2,28,2,1,1,1,35,42,91,28,112,189,63,112,112,245,189,238,301,336,399,504,595,833,973,1141,1988,2800,4816,6839,9667,19523,12355,9247,11095,10479,13965,11480,9863,10451,14896,13342,10668,10206,11046,11445,13496,10241,9793,10612,12096,12887,10192,11235,11333,12502,13524,10255,10073,11144,13216,12558,9737,10731,10010,12285,13083,10164,10437,10332,12208,12138,9989,10759,10976,12950,12166,9912,11018,10899,13272,11095,9247,10395,10402,12593,12096,9765,10220,10934,13118,11396,9135,10675,13832,10283,11564,9730,12572,11837,12985,9016,12530,10150,12278,11928,9415,13412,10255,13125,10983,8680,10353,11333,13111,10990,8932,14546,10997,12236,8988,8547,9702,11263,16814,7805,9730,9835,15596,9177,7931,9079,9632,12404,8680,8729,9604,10241,12313,9310,8673,10227,11242,11648,10080,8106,9695,15652,13545,7546,9296,9989,18424,8505,8407,9982,12089,10934,8148,8708,10024,11263,10465,8092,9198,9079,11312,11081,7679,8883,9513,10556,10430,7651,8617,9268,10864,10507,7609,8512,9219,11011,10654,8008,8743,9030,11648,9912,7714,8470,9870,11242,9926,7756,8533,9471,10948,10164,7917,9401,9611,10857,9618,7882,8309,9247,10752,9905,7749,7952,9618,11165,9926,7938,8183,9016,10724,9989,8001,9366,9597,11123,9513,7476,8974,8834,10157,9177,6937,8085,8603,10297,8918,7000,8379,8960,10997,9023,6958,8638,9016,9982,8687,7098,8729,9422,10528,8813,7266,8918,9303,10423,8666,6538,8400,9212,9709,7938,6986,8246,8932,10472,7476,6279,7728,9198,9450,7672,6545,8484,8806,9989,7231,6636,8071,8967,9905,10906,8141,8547,10010,7637,6797,7770,8295,9618,8316,5999,7231,8855,9723,7903,6398,7861,8932,10227,8372,6377,7392,9282,9926,7413,6104,7889,8785,9513,7959,6510,8001,8988,9807,7840,6272,8701,9576,9863,7399,6510,8134,9219,9457,7231,6230,8113,9513,10164,7483,6139,8141,8449,9800,6958,6706,7994,9653,9779,7308,6440,9044,9471,9884,6720,6727,8309,10192,11025,8491,7791,9562,12180,14665,11907,11795,12285,14350,17332,17696,15701,14546,14910,16877,17024,15260,14441,13951,16296,15309,14686,13748,14042,16317,15351,13986,12803,14035,15330,15659,12810,12740,13489,15666,15344,12747,12404,13440,14833,15239,13860,12943,13412,14693,14280,13370,13300,13097,14322,14322,13377,12446,12796,14938,21483,12152,11557,13727,15008,12299,11928,12488,14364,15071,12950,12705,11991,14301,15323,13237,12334,12698,14049,16268,12810,12768,12824,14616,16289,13748,12558,13349,14679,15071,12348,13615,12537,15008,16961,15022,13153,13741,14917,16128,14294,13741,13489,14455,17927,14931,13748,13762,15316,16772,14798,14847,14014,14987,16877,14385,13832,13468,15785,17808,14770,14077,13559,16009,16898,16205,13293,13566,16296,17507,14854,15029,14805,15050,17388,15106,14476,13825,15491,17542,15932,15365,13391,15953,18494,15918,14973,14091,16793,18823,16905,15484,14602,15855,19887,18487,17381,15883,16611,18326,18585,17773,15757,16947,19348,17773,16709,14700,15372,18081,14833,15568,14042,14574,14735,14343,12761,11921,12600,12677,10822,9744,10115,8953,11004,3437,1484,525,343,182,77,105,56,42,35,3,28,0,28,1,1,0,1,3,3,3,0,2,2,3,1,0,1,0,0,3,1,0,3,1,0,3,0,3,1,3,1,2,2,2,3,2,3,3,3,2,1,1,2,1,3,2,3,0,3]
[0,3,1,0,1,2,1,0,2,0,3,0,1,1,0,2,2,3,35,35,42,63,42,105,28,91,98,119,119,140,224,196,308,266,329,476,651,658,889,1358,1582,1792,2737,3675,5278,6664,6720,5992,5250,5677,7245,7385,5691,5523,6125,7728,6664,5691,5614,6461,7322,6951,5698,5446,6965,7392,6818,5810,5894,6818,7126,6517,5404,5551,7259,7476,6265,5670,5320,7063,7455,6804,5418,5355,6727,7168,6370,5656,5229,6755,7392,6580,5306,5488,7077,6965,6342,5166,5474,6692,6839,5712,5397,5320,6503,6986,6076,5264,5845,6888,7371,6286,5327,5726,7112,7378,9450,4963,6517,6951,6314,4928,5418,6356,6986,6300,5005,5103,6321,6678,5796,4781,5096,6412,6916,6076,4858,5019,5866,6160,5656,4718,4704,5873,6657,5551,4725,4690,5859,5831,5537,4417,4487,6209,6174,5264,4256,5103,5943,6608,5285,4445,4872,6125,6174,5782,4788,4977,5845,6160,5208,4368,4781,5873,6006,5103,4298,4438,5845,5425,4886,4284,4914,5810,5978,4459,4221,4641,6034,5663,4732,4046,4823,6020,5649,5159,3843,4795,5698,5733,4620,3927,4711,5628,5593,4669,3941,4872,5831,5446,4732,3941,4788,5488,5341,4669,4207,4676,5509,5740,4634,4137,5075,6020,5446,4487,3920,4739,5278,5306,4508,3738,4753,5768,5754,4263,4417,4305,5586,4984,7105,4473,5369,5334,4753,3773,4466,4886,5614,4137,3913,4249,5572,5439,4571,3941,4536,5040,5558,4137,3731,4137,5110,5005,4284,3416,4137,5019,4991,3759,3563,3836,5012,4732,4158,3906,3885,5180,4872,3990,3612,4438,5089,4543,3626,3115,3801,4599,4487,3493,3339,4228,4851,4746,3885,3549,4102,4886,4697,3969,3878,3983,4837,4683,3661,3332,3787,5159,4907,3507,3458,4403,5033,4802,3794,3640,3934,4746,4466,3500,3339,3675,4319,4277,3703,3605,4382,4480,4277,3577,3535,3962,5082,4249,3556,3612,4144,4543,4109,3234,3332,4165,4711,4249,3472,3381,4207,4501,3843,3402,3563,4466,4900,4186,3500,3185,4599,5285,4928,4676,5397,6524,8358,8568,7735,14980,13083,13020,12929,11739,12355,15232,15491,12782,11893,11319,13489,13377,10682,9198,9485,10668,10066,8316,7672,8148,9604,9072,8323,7182,8239,10115,10346,8834,8057,8834,10640,10395,8589,8162,8995,11137,11116,10073,8638,8414,10892,11039,10101,9016,9100,11368,10850,10087,8610,9100,11662,10717,9695,8505,9520,10969,10521,9716,8764,9618,12432,12264,11312,9765,10451,12460,11858,10318,9632,10255,12663,11620,10556,9408,9632,12383,11991,10850,9044,10493,12152,11669,10626,9394,9828,12418,12243,10241,9506,9723,11935,12677,11172,9870,9940,12166,12740,12012,9877,10444,11620,12488,11011,9856,10262,12334,12026,11459,10115,10031,12782,13216,12159,10206,10906,12733,12880,11956,10143,10780,13174,12719,11655,17402,11585,13356,11683,10269,10283,11963,14147,11333,10430,10675,11389,12439,11431,10318,9947,11879,13811,13062,12096,11746,13370,15764,15064,13181,12334,14539,16667,15120,14077,12978,13412,15869,14623,12166,11872,12516,15001,14483,12285,10563,10892,12985,12264,10038,8645,8988,10353,9660,8435,7238,7455,9016,7686,4774,2485,1295,469,462,315,147,84,98,63,49,0,42,35,3,0,0,1,3,1,0,2,0,0,3,3,3,0,0,1,3,0,3,3,2,1,2,1,1,0,2,1,1,2,2,3,1,3,3,1,1,1,3,2,0,2,0]
[3,1,0,3,3,2,0,2,2,3,0,1,2,3,35,28,3,35,42,28,2,56,77,49,84,112,105,91,133,182,203,469,203,434,350,567,735,812,1064,1470,2086,3269,5383,7931,9681,11956,12789,10521,9856,10738,12355,13097,9961,10283,10451,12712,13545,9667,10773,10724,12691,13195,10255,10220,11165,12964,12383,10003,10136,11046,13426,12866,10304,9996,11347,12775,12194,9849,10206,11137,13650,11781,10108,11053,9744,13048,11858,9464,9863,11368,12698,11984,9744,9891,10724,12544,11634,8918,10192,10864,12922,12005,9072,10220,10605,12838,11718,9583,10115,10976,13286,11606,9709,10129,11144,13510,10969,9485,10563,11060,13370,11256,9051,10080,10682,12411,9373,8988,10031,11102,12747,10101,8848,10031,10675,12558,9205,9436,9282,11144,12390,9086,8855,9646,11025,11879,8645,9037,9072,11046,12628,9219,8918,10115,10423,19383,8561,9520,10794,11781,10115,8981,9240,10507,11564,10605,8127,9912,10696,12026,10577,7721,9422,10017,11746,9520,8260,8736,10444,11634,9513,7791,9205,10003,11186,8477,8064,9198,9940,11501,9156,8274,8673,10269,11417,8792,8176,9366,10332,12040,8708,7840,9555,10255,10885,8246,7609,9009,10934,11410,8715,8701,9156,10647,11403,8232,8470,9240,10962,11739,7945,8085,9590,10717,10843,7777,8232,9044,10696,11018,7756,7665,9527,10423,11018,8498,8015,9681,10528,10570,7616,8176,9205,10647,10864,7756,7973,8652,10472,9884,7791,7945,9044,10927,9856,8246,7756,9149,9968,10017,7280,8064,8939,9646,8925,6937,7567,8981,10570,9282,6804,7896,8666,10444,9359,7350,7476,9079,9464,9513,11620,8463,9723,9632,6867,7203,8792,9793,9877,7672,6489,8554,9611,9863,7105,6972,8351,9569,9534,6797,6566,8365,10290,9520,7182,7252,8540,9506,10213,6972,7252,11529,9975,8295,6636,7126,8799,9744,8372,6083,7483,8715,9527,7973,6293,8099,8743,10311,8435,6580,8225,8582,9527,8267,6727,8148,9191,9681,8183,6097,7777,8225,9583,7679,6237,8043,8778,9905,8064,6398,7357,8974,10416,7910,6748,8547,9863,12558,10241,8932,10318,11970,16254,14658,14077,13195,14392,17304,18592,17234,15547,15260,16541,17955,15855,14728,13979,15435,15736,13566,13244,12460,14889,13111,11473,11739,11690,15001,13125,11613,11578,12530,14518,14616,12397,12516,12481,15099,15722,13580,13062,13482,16303,15652,22456,12803,14840,16954,15029,13300,12964,15568,17570,14511,13769,12978,14609,16324,14490,13622,13384,15204,16996,14007,13860,12824,15064,17990,15925,14350,14196,15106,17927,15729,14378,13797,14917,17444,15477,14469,13986,16331,18907,15470,14560,13419,15477,17605,15554,14154,13762,15330,18718,15365,14462,13615,15113,17598,15568,14777,14245,15589,17731,16695,15099,13671,15624,17486,15169,14175,13566,14798,18032,15099,14749,13734,15470,19166,16247,15386,14287,14861,17577,15974,15974,14448,16331,18655,17843,15428,14119,15904,18123,16086,15197,14630,16338,18214,16254,14476,14266,15498,18879,15764,15603,13755,16240,19551,19208,17185,16072,16555,20475,18634,18172,14889,16772,18914,19425,17367,16261,16100,18592,17948,16317,15078,14588,18291,28119,14721,14637,15302,16688,14259,13293,12138,13160,12866,11431,10605,10080,7980,7448,4172,1708,763,378,294,154,91,84,42,42,42,1,2,35,28,3,3,1,3,1,1,2,2,2,3,1,2,0,0,1,2,0,3,0,3,2,1,2,3,2,2,1,0,1,1,2,0,1,2,2,0,3,3,1,1,2,0]
[2,0,28,1,0,2,2,2,3,3,35,2,0,1,3,28,35,28,1,35,56,70,105,84,28,112,112,147,224,161,217,252,448,378,385,581,630,889,952,1736,2296,3262,5579,8239,9415,11620,11585,9282,10234,11151,12621,12845,9835,9982,11655,12908,12215,9135,9821,10983,12929,13041,9912,11095,11214,13629,12313,10101,11319,10661,12551,12138,9681,10913,10899,13153,12502,10332,10822,11319,13314,11977,9975,10941,11123,13244,11508,9765,10024,10843,12824,10955,8400,9485,11221,13335,10836,9023,10500,11053,12719,10717,9296,10437,11109,13062,10906,9919,9814,10962,12397,10059,9016,10185,11354,13650,10150,9478,10332,10878,12887,9849,9611,9520,10920,12264,15757,9772,10416,13083,10857,9296,10311,10353,12201,9912,9100,9471,10388,12047,9723,9002,9079,10115,11417,10031,8407,9814,10157,11998,10171,8827,9030,10773,12523,8890,8302,9198,9968,11487,8435,8960,9359,10472,11662,8792,8169,9450,10598,11564,8778,8442,9401,10038,11340,8806,8169,8911,10220,10514,7455,7938,8603,10514,10948,8470,8358,9100,10073,10654,7658,8176,9212,10262,10997,8456,8134,9226,9723,10374,8120,8477,9163,9905,10689,8547,8190,9667,10199,10766,7441,8190,8946,10052,10185,7315,7784,9205,10675,10549,8372,8365,9156,10675,10297,7784,7749,9044,10549,10003,8421,7637,12229,10619,9366,7511,8449,10381,10780,9261,8127,9338,9779,11466,9275,7581,9107,10129,11284,9436,13755,9793,10647,9814,7427,9212,8666,10703,9730,6979,8379,9331,10185,9170,6699,7931,8841,10892,8820,7028,8316,9394,10549,8694,6958,8498,8372,10164,8239,6825,8750,8750,9464,7994,6769,8316,8113,9898,7518,6454,7553,8162,10150,7175,6230,8379,8911,9604,8029,6272,8260,8610,9632,7567,6650,8673,9107,10437,8190,6909,8939,9422,9296,7798,6419,7777,8449,9800,7868,6132,7896,8596,9268,7532,6482,8736,8694,9765,7336,6216,8442,8981,9744,7105,6146,8190,8253,9849,7784,6412,8113,9261,8925,7301,6370,7672,8365,9415,6447,6125,8470,9555,9485,7371,6692,9198,9744,10115,7728,7042,10031,11662,12607,9681,10143,11781,12446,16597,15015,13825,12922,14420,16247,16170,25669,13482,14203,15652,13489,11900,11564,13776,12964,11004,11368,12271,14644,14098,12068,11865,13006,15162,15442,13090,12838,13489,15869,16821,13979,13020,13251,15344,16877,14924,13909,14273,16632,17045,15309,12901,13650,16401,16793,14056,14434,14455,16499,17192,15827,13881,13930,16093,17794,15505,14784,13601,16282,18487,16527,15421,14973,16639,17948,15043,15162,14259,16002,18102,14742,14077,13888,15617,17731,14917,15232,14322,15876,16716,15239,14763,13741,15302,17094,15813,14595,13902,15813,17507,15015,14973,13006,15589,16933,14175,13825,13160,15421,17465,14406,12845,13139,16051,16604,14749,14168,14049,16051,17689,15505,14483,14140,16030,18389,15519,14140,14308,15687,16772,16324,14931,14441,15981,17710,15939,14371,13986,15218,17493,14217,23632,15253,17640,17626,15218,15232,15764,18725,19838,18872,15575,16884,20013,18242,19334,14959,16520,19082,19404,16058,15540,15512,17304,17318,15330,14770,14371,17290,16618,15267,13447,14427,16065,15456,14476,12733,13090,13433,12712,11340,10115,10479,8134,6048,3416,1526,770,364,217,133,98,70,70,42,1,1,28,2,0,1,0,0,0,0,28,1,3,2,0,0,3,2,0,1,2,1,1,3,2,1,3,3,1,2,1,1,1,0,2,1,2,0,1,3,0,2,1,1,1,3,0]
[2,2,3,3,0,3,1,0,3,3,0,3,1,3,2,2,1,1,3,35,1,0,91,77,84,91,119,133,140,217,203,238,266,350,406,427,539,798,805,1127,1540,2464,3731,6237,8351,9863,11403,11921,9492,10486,10325,13118,12558,9604,10479,11123,12936,11984,9618,10353,10773,13251,12236,10647,10416,11515,13230,12404,9842,11417,11417,13818,11081,9982,10745,10850,12957,11102,9779,9933,11018,13888,11753,10003,10990,10759,13307,10850,9779,10290,11473,13426,11466,9331,9485,11347,13041,10675,9961,11228,10745,12215,10458,9072,9590,11221,12649,10024,9723,9863,11088,12376,9940,8876,16625,12467,11032,8995,9282,10857,13139,11095,9380,9807,10668,12929,9800,9079,9779,10878,12376,10815,9513,10808,11018,12950,10395,8995,10465,11011,11858,9380,8372,9527,9954,11809,8778,8673,9009,10010,11970,9450,9030,8876,10451,11578,9492,8197,9254,10654,11396,8918,8624,9583,10829,11256,8505,8498,9464,10486,10808,8344,8050,8939,10619,11746,8393,8078,8988,10171,10717,8519,8183,9303,10696,10815,7777,7679,9562,9828,10283,7707,7616,9079,10605,10017,7847,8407,8855,10241,10052,7602,7763,8442,10024,10080,7868,7623,9226,10577,10066,7385,8197,9478,10696,10451,7910,8442,9177,10290,10206,7483,8456,9562,10675,10374,7560,8183,9947,10479,9968,7805,8953,9478,10745,10353,8183,9016,18592,11410,9499,9478,10423,12089,12838,10290,10577,11536,12593,13538,10325,10080,10822,11858,12355,8659,8624,10696,11186,10458,8379,8603,9576,10185,9660,7042,7525,9023,10416,9821,7469,7462,9156,9814,9093,7343,7693,8932,9716,9541,6846,7987,10059,9506,9261,7091,7434,8652,10017,8813,6769,7686,9373,9149,9401,6916,7063,9289,9247,9009,6895,7476,8442,9695,9205,7140,7273,9163,9968,9198,6510,8246,8792,9310,8603,6636,8064,8834,9870,8267,6398,7644,8610,9702,8281,6468,7945,8946,9345,8736,6258,8043,9387,9093,8372,6293,7581,9422,9611,8029,6160,7399,8946,9786,7875,5215,7623,8911,9674,7588,6174,7294,9569,9310,8120,6349,7259,9317,9702,8127,5810,7945,16261,9044,7112,7777,9730,10381,9625,6965,7784,9716,10409,9919,6832,7819,9107,10745,9926,7469,8470,9163,11200,11144,8610,8442,10129,12817,12810,10332,10787,11529,13496,15421,12348,12677,12726,13573,15883,12544,13489,13174,14931,16499,13769,14070,12845,14917,16226,14595,14084,12964,16457,17556,15176,14560,14448,15435,18116,16947,15939,15015,16324,18914,18424,16688,14924,16912,18550,18536,16205,15750,17129,19845,18746,17647,17339,17115,18291,18361,16429,14742,16352,17465,17010,15820,14378,14931,17003,15246,14959,13335,15260,16576,14504,14161,13034,14315,16233,13496,14315,12775,13706,15729,13286,12285,11851,14161,14959,13468,13160,12978,14504,15603,13811,13664,12376,15288,16821,13958,13356,12670,15344,16121,14259,13412,13118,26684,16163,14161,13391,15008,17409,16779,15309,13657,14329,15449,15197,12985,13356,13076,16800,15295,13951,13153,15337,17423,18396,16604,16072,16604,18137,19565,19264,16212,15141,17234,18578,16338,15610,14280,16695,16961,14560,13643,14210,16184,15988,14861,14378,13412,14497,16268,12894,13496,13216,13216,12894,11480,11830,10388,8568,6650,4291,1743,784,378,273,203,133,133,77,42,2,49,3,2,3,1,0,2,0,0,3,0,0,0,2,1,0,0,0,3,0,2,0,3,0,2,2,1,0,2,2,1,1,3,3,0,1,1,1,2,2,2,2,3,3,1]
[3,0,2,0,2,0,0,3,0,1,1,2,2,2,3,42,35,0,1,49,49,63,70,91,91,56,147,105,105,147,119,196,203,266,322,462,546,574,805,1134,1533,1904,2583,4011,5649,8022,7245,6734,5607,6762,8449,8015,5929,6104,7266,8736,7434,6104,5600,7301,8463,7406,6020,5733,7028,8372,6811,6265,6041,7224,8386,7364,5754,5649,7630,8218,7091,5957,5950,7742,8827,6762,6461,6146,8015,8246,7301,6090,6195,7357,8036,6762,6041,6013,7728,8323,6629,5369,6223,8057,8736,6440,5866,5614,7623,7994,6874,5572,6321,7322,8225,6377,5635,6118,8183,7686,6384,5614,5663,7952,7637,6440,8897,7063,7819,6839,5383,5901,7154,8085,6685,5803,5740,7392,7686,6587,4718,5474,7063,7917,6580,4893,5369,6629,7217,5859,5124,4949,6853,7483,6083,5103,5803,6811,7749,5894,4648,4620,6370,6909,7252,5026,5320,6475,6678,5089,4648,5740,6279,6209,4921,4816,5544,6916,6300,4795,4690,5173,6419,6377,4858,4739,5677,6146,5929,4767,4550,5432,6055,5614,4732,4123,4928,6664,5194,4459,4438,5040,6055,5418,4431,4494,5362,6174,5208,4340,4760,5054,6146,5299,4277,4368,5502,5747,5348,4592,4837,5516,6370,5068,4529,4277,5894,6034,5740,5257,5803,7805,9814,8057,7959,9065,10843,12593,13167,11186,10815,13216,14553,14161,13342,12285,13006,15498,14070,11711,20615,15435,14371,12915,12733,13048,15428,15596,13566,12796,13839,16009,14959,13181,11998,12026,13566,12628,10703,8512,8687,9387,8162,6419,5803,6699,7910,7175,5943,5957,6601,8064,6888,5845,5663,7273,8113,7224,6020,5838,7840,8596,7770,6167,5782,7252,8127,7280,6251,6405,7721,9065,7385,5929,5803,7637,8050,7609,6027,5656,7602,8134,7672,6580,6524,7511,8722,7749,6622,6426,8085,8876,7609,6909,6783,7980,9086,8631,6657,7028,8505,9870,8351,6594,6552,7987,9247,8197,6797,6804,8974,9618,8785,6853,6643,8694,9646,8365,6832,7273,8918,9429,8743,7119,6818,8708,9751,8820,7028,7336,8834,9877,7784,6552,7987,9359,9709,8610,7070,7042,9100,9954,7966,7553,13748,9989,9058,7441,6650,8645,10255,9415,7504,7287,8897,9905,9002,7749,8211,9457,10227,9338,7224,7294,8288,10374,10374,7938,8099,9842,10724,10752,8253,9436,10668,11767,10514,9170,8848,9828,10899,11242,9128,8939,10724,12061,11781,9226,9485,11984,12971,12005,10444,10752,11963,14035,12698,11389,10661,11837,14203,13314,11459,10941,12313,13909,12096,10486,10955,11438,13776,13398,10836,10752,12320,13426,13139,11116,10255,10675,12747,12397,10220,8890,9765,11116,10374,8925,7658,9044,10983,9597,7847,7959,8659,11207,10269,8218,7889,8617,11067,9905,8155,7497,8449,10843,10367,7875,8092,8820,11214,11522,8834,8512,9835,11165,10871,9072,8988,9674,12334,11410,9926,8974,10479,12803,12075,10087,15694,12229,12173,10815,9303,9905,11585,12999,11823,10640,11375,13671,15974,14350,13629,13069,15379,16506,14784,12859,12523,13440,13832,11893,9996,9870,11305,12012,11025,8771,8694,10444,10486,9541,7861,8897,10969,11410,11067,8932,8624,9674,11788,9345,8519,7833,9037,9513,7049,3696,1799,1134,651,392,259,217,84,98,56,77,49,35,2,28,3,3,3,2,0,1,0,3,2,0,3,3,0,3,3,2,1,1,3,0,2,1,2,0,1,2,2,3,2,3,3,1,0,1,3,0,3,2,0,2,3,1]
[1,0,2,0,1,2,0,2,2,2,1,3,1,1,3,2,1,42,3,0,28,28,77,1,84,98,217,91,238,91,231,315,294,329,413,518,588,721,1001,1225,1680,2408,3983,6314,9380,10241,9247,7924,8302,9751,11333,9184,8050,9254,11291,11256,9541,8365,8813,10899,12110,9779,8442,9114,11508,11235,8862,8078,8890,11284,11340,10052,7651,9065,11431,11823,8757,7259,9170,11515,11088,8687,8337,9996,11620,10962,9254,8722,9912,11459,11067,8743,7889,9317,11781,10822,8946,8050,9359,11018,11081,9121,8071,10010,11823,10507,8099,8274,9541,11711,10619,8393,7903,9968,11270,10234,8309,8267,9583,11970,10094,8190,8176,9751,11473,10241,8043,7840,10766,10976,9310,7658,8162,9345,11347,9436,7623,8008,9884,9884,8708,7609,7588,9618,10556,9499,7707,8099,9779,11109,14077,7315,9184,11704,10185,8106,7532,9338,11480,10199,7742,7126,9303,10619,9765,7721,7469,9415,11130,9569,7658,7917,10486,12663,11382,10227,10395,12887,15288,13692,11907,12299,13895,15722,14322,12516,11326,12782,14392,13062,11165,10857,12061,13580,10752,9723,9443,11893,13265,11263,9289,9730,11011,13363,12096,10430,10416,12054,14105,11830,11389,11039,12803,14259,13083,11515,16114,13860,13027,11347,10458,11781,13706,13867,12425,11403,12705,15435,14770,14406,12733,14126,16226,15855,14259,13447,14742,16569,16492,13797,12922,14224,15456,15533,14833,14490,14203,17073,16814,16352,14532,15589,17136,16359,14938,14511,14847,15162,15883,14203,13363,13986,15092,13867,12488,11361,13244,14910,14273,11977,11417,11529,13363,11802,17290,10388,12166,12831,10059,9555,10360,12502,12502,12698,11431,11599,13559,13314,12012,10934,11746,13279,13342,12628,10311,12201,13293,12964,10367,10136,10563,13433,12705,11312,10815,11179,13314,12089,10745,11004,12068,13881,13419,12040,10822,12985,12320,12992,10717,9905,10416,12341,12362,11221,9877,11109,12957,12768,11270,10381,12012,15015,14196,12390,11508,12705,14000,13475,11991,9933,11088,12131,11200,10549,9436,11039,13013,12656,11242,9961,11550,14161,13195,12257,11473,12635,15225,14266,12159,11403,11592,13083,12292,11319,9681,11977,12943,12880,10738,9793,10514,14042,12936,12243,11102,12467,14308,14364,12880,11375,12439,14903,13167,10920,9765,10717,12145,11249,9072,8057,10689,12747,11592,10612,9940,12516,14238,13776,20496,12369,14315,14763,13573,12369,12054,14693,13223,11389,10052,10318,12208,12817,10948,10661,11326,13510,14392,13160,12215,12726,14952,15939,13685,12593,13692,15813,16380,14525,13377,13034,14966,15470,14238,12866,13097,15379,16324,15057,13223,13076,15540,16219,15071,13272,13328,15841,15330,13384,12131,11802,14140,14854,12600,10934,11487,13692,14301,11480,11158,11473,14014,15120,13846,12173,12649,15729,16541,14406,12509,12061,15393,14833,14245,13342,13790,17080,16401,15358,15043,15246,15617,16849,16072,14672,14168,15799,17297,16142,14217,14581,15463,16107,15862,13804,14231,15428,16583,16128,14014,14133,16527,17857,16436,15120,15274,16730,18753,16961,16422,15960,16548,18746,16835,15386,14259,15386,16317,15239,12460,11956,13657,15750,13132,18746,12376,13524,13426,11613,10752,11816,14798,13832,12390,11571,12516,14294,12838,11046,10514,11340,12775,9961,6153,3731,1820,798,511,266,196,154,91,49,42,1,2,2,2,3,28,2,1,0,1,3,0,1,2,0,0,1,1,1,0,0,1,0,2,0,3,3,0,3,3,0,1,1,3,3,0,0,3,3,3,3,3,2,1,1,1,1]
[1,1,1,0,2,1,0,3,2,3,2,1,2,0,3,1,1,2,2,3,56,1,63,70,42,98,91,63,119,133,119,252,196,238,322,539,525,714,987,1092,1561,2058,2695,3850,5838,8064,7294,6601,5733,6958,9009,8330,6230,5747,7000,9170,7777,6356,6048,7252,8988,8421,6412,5936,6713,9212,7567,6048,6006,7343,8141,8071,6013,5712,7161,13776,6174,5649,6699,7840,7476,6622,5166,6510,7756,7994,6384,5635,6762,8071,7840,6482,6006,6678,8890,7847,6433,6062,6902,7987,7021,6013,6048,7252,8799,7441,5796,5894,6699,7532,7266,5971,5509,6440,8449,7077,5831,6237,7903,9520,7553,7112,6216,8148,9359,8078,6776,6097,6916,8631,6965,5873,6209,7392,8820,7546,5964,6167,7798,8246,7357,5894,5950,7686,8393,7196,6139,6811,8498,8939,7651,6650,7021,8253,9121,7581,5957,6825,7539,8113,7350,5558,6447,7497,8596,7105,5495,6622,8309,8631,6993,6055,6552,8393,8834,7903,6482,8050,9583,10353,8582,7595,8414,10262,10934,8869,8505,8624,9450,9975,8127,6811,7203,8526,8106,6797,6272,6804,7448,12124,6335,6055,7854,8267,6776,5726,5649,6972,7791,6916,6300,6440,8211,7966,7266,5824,6405,7875,7560,6790,5824,6300,8204,7770,6384,6300,6951,9702,10108,9044,8253,9492,11130,12460,10675,10192,9821,10472,12383,10703,8778,8631,9884,10409,9569,8400,10087,10710,12649,10731,9268,10570,11193,12159,10955,9569,10017,12740,13923,11669,11025,10920,13006,13755,12481,10395,10199,12348,11858,9611,8883,8939,10500,9828,8057,7308,8911,9800,9723,7896,7441,8358,9625,9702,8001,7518,8974,10395,10598,8386,7798,8953,10325,10255,7833,6881,8001,9184,8645,6881,6552,7833,9681,9128,7049,6629,8785,9989,10052,8183,7182,8785,9583,9016,7406,7777,8400,10087,9044,6783,7280,8085,9730,13167,7070,8253,10129,9863,8127,6629,8239,9415,9590,7735,7112,8078,9254,8904,7833,6993,8225,9821,10010,7658,6944,7665,8498,8617,7112,6762,7238,9058,8491,7777,6671,7350,9037,9170,7483,6846,7700,9541,9618,8008,7588,8477,9576,11025,8841,7721,9114,9660,10619,8834,7924,8659,10549,10990,9212,7245,8680,10206,9989,8470,7651,8358,10458,10325,8827,7147,8547,9135,10507,7903,7574,8736,10073,9849,8078,7889,8967,10815,10416,9072,8848,9163,10640,11228,9233,7721,8659,9961,10381,8631,7910,9646,11585,12047,10227,9107,10717,12278,13517,11081,11214,11718,13881,14119,12572,10276,11228,13440,13937,10976,10059,10577,12922,13587,10920,10857,10549,13181,13174,11599,9954,10122,11963,12642,13293,8764,9940,11466,9891,8050,7665,9254,10017,9296,7784,7406,8526,10899,9534,7819,7413,8743,10563,9569,7504,6755,8771,9548,8967,7952,8113,9604,11655,11025,8617,8148,10031,12159,11284,8750,7889,9086,11116,10570,8855,7882,9800,11452,11186,8267,8351,9646,11781,10934,10472,9933,11494,14518,14224,12460,11746,12425,14602,14679,13188,12656,13622,15337,15967,13391,11263,11578,13139,12516,9527,9072,9156,11508,11207,8414,7182,8519,9737,9471,7728,7434,8869,11158,11165,8841,8344,9030,10759,10955,9331,7609,8169,9891,8540,5740,3332,1932,833,448,287,147,70,98,56,49,28,1,35,1,3,3,0,1,0,1,2,2,2,1,2,2,1,1,1,1,2,3,1,3,1,2,1,3,2,1,0,1,1,0,2,1,3,1,3,3,1,3,3,0,2,2]
[3,1,1,3,2,0,0,2,0,0,1,2,2,3,28,28,1,0,35,42,28,77,49,77,56,70,77,70,91,161,168,217,217,315,357,364,434,602,903,889,1358,1876,2478,3472,5705,7231,7189,5866,5614,6790,7917,7924,6202,5222,6713,8225,7763,6153,5880,6706,8491,7588,6377,5572,7042,12530,6181,5782,5943,8050,8022,6475,5670,6230,8120,8071,6412,5740,6335,8071,7574,6055,5460,6468,7721,7063,5719,5215,6391,8057,7994,5943,5390,6818,7847,7371,5936,5593,6167,7595,7021,5866,5810,6629,7280,6678,5600,5082,6643,7259,7000,5572,5278,6076,7350,6699,5229,5439,6230,7371,6321,5537,5194,7014,6440,6174,5257,4690,6678,7630,6517,5215,5033,6265,6832,6419,4823,5243,6475,7154,6223,5187,5131,6125,7287,6132,4991,4809,5901,6615,5607,4823,4718,5663,5999,5754,4725,5033,5754,6531,5712,4473,4620,5908,6293,5544,4221,4326,5607,6223,5131,4361,4501,6398,6314,4760,4529,5033,5810,6412,5040,3934,4522,5838,6027,4746,4025,4361,5621,8428,3906,4732,5208,6244,4865,4480,4263,5243,6069,5026,3822,4102,4907,5299,4837,3843,4284,5572,5733,4501,4039,4214,5432,5845,4620,3857,4158,5138,5726,4613,4046,4683,5719,5488,4830,4179,4690,5845,6342,5418,4907,6027,7721,7966,6811,6881,7812,10129,9877,9170,7637,9023,10514,10724,9541,8596,8722,10801,11858,9499,8568,9163,10941,11396,9478,8106,10955,9219,11095,9170,7567,8008,9366,9527,7105,5544,6055,6272,5873,4487,3927,4438,5565,5390,3899,3864,4235,5691,4921,4263,4039,4809,5201,4984,3780,3493,4340,4977,4963,3633,3514,3948,5012,4732,3451,3598,4032,4893,4585,4543,3311,4256,4879,4284,3087,3661,4599,4865,4109,3094,3605,4956,4732,6139,3255,3885,4529,4200,3066,3220,3675,4844,4046,3017,3052,4011,4690,4207,3472,3297,3899,4389,3962,3339,3003,3738,4543,4130,3129,3178,3731,4662,3913,3010,2982,3955,4844,3843,3136,3325,3850,4893,4116,3353,3703,4473,4823,4872,4634,6258,8617,9555,9457,7980,7924,9716,11417,10717,8680,9247,10129,11298,11480,8960,8925,9639,11781,11718,9555,9366,10514,11956,11529,9856,9226,10304,12222,11452,9954,9317,10829,12663,11599,9933,9058,10437,12110,12180,9170,9611,10584,12348,11907,9842,8904,10031,12005,11956,9387,8918,9933,12425,11767,10507,9401,10850,14070,12915,10941,10696,11641,13566,12481,11396,10472,11375,13965,13300,11011,10451,11508,13146,12481,10472,10150,11256,13363,11564,16961,9863,11403,11284,8750,8085,7959,10164,9604,7721,6454,7189,9002,8834,7329,6475,7280,9695,7560,7721,6811,8043,10339,11340,9303,8792,8659,11662,12558,10451,9499,9562,11753,12649,11263,9352,9856,12495,11998,11473,9464,9674,11956,12558,11424,9429,10381,12425,13538,11319,9478,9905,11914,11816,10332,8386,9079,11165,11102,10038,9009,9849,12082,13636,12292,11130,11452,14749,16149,14175,12586,12488,12831,15687,13069,10122,9324,10206,10535,7917,6958,7189,8456,9604,7308,7028,6818,9835,10367,9170,7014,7875,9219,10423,9793,7686,7945,9702,11347,10045,7805,7973,8785,9933,7112,4172,1995,1064,616,322,189,245,119,70,56,3,49,2,3,1,2,1,0,0,1,2,3,2,1,1,1,2,0,1,3,2,2,3,2,2,3,1,0,1,1,1,3,1,2,3,3,1,0,3,2,2,2,3,0,1,3,3]
[2,0,2,2,3,2,2,2,3,1,1,2,1,2,1,2,35,3,3,2,42,35,42,35,77,77,119,126,77,112,273,189,217,364,420,448,560,658,882,1211,1561,1974,2863,4067,5712,7525,7434,6503,5271,6279,7721,7637,6188,5887,6440,8484,7595,5880,5684,6839,8253,7259,6090,5810,6748,7287,7749,6573,5509,7357,8365,7434,6335,6335,6881,8141,7133,9954,6286,8337,7672,6104,6027,6475,8099,7672,6398,5726,6237,8029,7301,6132,6027,6356,7833,7119,6104,5425,6545,8330,7392,6727,5803,7210,7931,8162,6370,5656,6447,7966,7315,6321,5656,6874,8288,6853,5936,5376,6181,7175,6755,5880,5264,6881,7091,6881,5579,5264,6314,7056,6286,5663,5061,6349,7399,6090,5474,5369,6160,7245,6209,5103,4760,6244,6748,5936,4725,5005,6139,6545,5733,5236,5019,6363,6272,5341,4795,4326,6258,6132,5656,4578,4361,5649,6104,5236,4200,4641,5978,6923,5607,4998,4396,6251,6741,5257,4473,4543,5796,5915,5621,4424,4620,5845,5852,4809,4319,4501,5684,6062,4711,4277,4424,5719,5670,4564,3948,4186,4816,4977,4340,6489,4900,5670,5124,3920,4249,5054,5138,4865,3738,3829,5019,5061,4732,4018,4305,5229,5481,4494,3983,4193,5544,5040,5068,4459,4368,5614,5684,4942,4123,4718,6139,5488,5306,4284,5320,6489,6762,5719,5390,6160,7686,7315,6538,6139,6951,8351,7350,6580,5838,6573,7742,7231,5789,5222,5803,6496,6237,4893,4865,4634,5684,5110,4536,3486,4144,5047,4459,3696,3717,3808,5033,4613,3808,3374,4641,4634,4445,4102,3696,4354,4865,4417,3696,3661,4011,4844,4830,3822,3381,4214,4564,4578,3773,3430,3927,4536,3920,3465,3276,3535,4438,3773,3248,3269,4025,4627,4032,3822,3206,3724,4655,3703,3500,3178,3822,4158,3885,3360,3031,3913,4578,4277,3584,5439,4291,4333,3458,3199,3367,4571,4193,3255,3367,3871,4900,4130,3430,3087,3535,4074,4207,3227,3458,3696,4585,4011,3402,2716,3759,4473,3997,3815,3416,4151,5628,5173,5061,5173,6713,9303,9121,8043,7413,8330,10465,9800,8876,8169,9009,11375,10990,10661,11319,10619,10934,10199,8883,8694,8988,10668,10178,9149,8414,9135,10934,10262,9044,8365,9457,11599,10521,9541,9086,10325,12215,11900,10143,9282,10990,12586,11809,10269,10101,10157,13195,11641,10577,9968,10948,13146,11830,11305,10668,11403,12985,13300,11529,11354,12012,14805,13104,11690,11809,12334,14392,12971,11648,11088,11067,13174,11018,9737,8911,8505,9744,8813,7056,6832,8120,8722,8246,7504,5761,7343,9009,8162,7182,11256,8400,8939,7329,6972,7294,9240,9562,8155,8211,8533,11144,11403,10346,9366,9982,13132,12369,10563,10136,10430,12705,13356,10892,10766,10969,13132,13853,11424,11025,10227,12236,12222,11403,10003,9989,12677,12600,11921,9870,10752,12390,11578,11368,10710,10437,12803,13349,11683,10745,11025,13762,15827,13762,12593,13132,15127,16044,13825,13587,12530,14364,15848,13804,11270,10465,11977,11907,10983,8694,7875,9394,10479,9100,8015,8176,9695,10283,9156,8253,7602,9499,10549,9275,7553,7609,9653,9639,8876,7091,6944,7882,8120,6419,4130,2156,910,574,294,154,147,84,70,84,63,35,1,35,3,2,28,3,0,2,3,2,3,3,2,2,3,0,3,1,2,2,3,3,3,3,1,1,1,0,2,1,2,1,0,3,1,0,0,1,1,0,0,2,3,1,2]
[3,2,1,0,3,3,2,0,2,3,2,2,0,3,28,0,28,0,28,42,70,84,91,105,175,91,84,203,168,301,224,308,434,448,651,791,854,1176,1589,2632,3570,5285,7924,8715,8820,6636,6524,8106,9107,8484,7630,7511,9744,9240,8421,6902,7497,9093,9891,8001,6783,7588,9016,10129,8582,7301,7126,9324,9303,7959,6762,7168,10262,9100,7819,6832,7882,9457,9660,7707,7210,7021,9156,9464,8064,6979,8008,9737,8827,7966,6363,7931,15757,7882,7119,6258,9177,10325,8617,7133,7168,9709,10304,8827,7616,7147,9646,9373,8316,6531,7707,9289,9821,7728,6881,7364,8862,9583,7539,6748,7539,9191,9653,6979,6230,6965,9317,9142,7175,6342,7336,9044,8897,6930,6335,7154,8862,8883,7154,6048,5642,7959,8148,6727,5579,5978,8652,8022,6580,5964,6300,7609,7385,5978,4991,6580,8351,7973,5831,5495,6230,8001,7301,5796,5257,6825,7371,7105,5740,5012,6097,7308,7210,4921,5068,5635,7357,7609,4942,4984,6020,7063,6706,5355,4676,5978,7196,6664,5061,4648,8197,9009,5271,4774,5614,6678,6363,4907,4935,5537,6447,6678,5124,4312,5579,6846,6706,5187,4452,5558,6986,6769,5145,4690,8477,9513,6475,4606,5432,7252,8274,4711,4585,6517,6762,6069,4655,5005,6629,6818,6104,6258,5747,7049,6797,5082,4340,5775,7364,6587,5145,4578,5201,6944,7091,5453,4697,5229,6748,6594,5488,5026,4816,6636,6202,5019,4088,5229,6937,6230,5033,4270,5082,6594,5810,5299,4039,5173,6048,5782,4760,4221,4928,6174,5565,4655,4235,4914,6055,6069,4578,3969,5012,5635,5635,4550,3710,4984,5950,5572,4046,3780,4417,5824,5313,4193,3465,4991,7714,4935,3829,3507,5187,5320,4207,3626,3913,4907,5369,5866,3577,3745,5502,6048,5278,2989,4424,5523,4872,3843,3080,4116,7070,4144,3290,3395,5061,7091,3766,3143,3829,4858,5418,3948,3402,5187,5159,4501,3717,4564,5985,4228,5460,5103,4620,5523,4704,4025,3738,5341,6335,5775,5033,5299,7672,8862,7945,6279,5579,6482,7595,6769,5404,4774,6664,7511,6384,5026,5278,6496,6804,6069,4991,4879,6370,6902,6251,5033,4879,6153,6944,6195,4858,4872,6440,7462,5901,5047,5033,7028,7049,6349,5138,4620,6615,7686,6510,5656,4970,6958,7441,6629,5313,4893,6685,7609,6489,5117,4676,6566,7749,6972,5621,5614,7406,8141,7462,5880,6069,8498,8652,7259,6447,6524,7917,8862,8498,7322,6937,9632,9961,10206,7665,7546,9597,9415,9730,8519,7889,9079,10017,9744,7966,7553,9191,11074,10878,7903,10766,10584,11851,9779,9905,8484,11277,16177,10416,8673,10612,12607,12502,17346,9919,12677,12432,12579,11340,9590,12159,12740,12747,10731,10591,12481,13419,11746,10745,9870,13188,18438,10794,11039,10640,13300,13447,13090,11914,11795,13678,13972,14007,12257,11578,13944,14882,14126,13230,13727,16891,16324,16240,14392,14623,16632,16779,14763,12712,12180,14126,13650,12292,11221,11480,14063,15050,13573,11459,11662,15022,13643,13153,11018,9709,12411,12215,10745,8890,7728,9905,9702,8680,7917,6916,8638,7042,6167,3514,1442,742,315,287,168,98,70,56,56,28,35,2,3,1,1,3,0,1,2,0,2,3,1,3,2,0,2,0,0,3,2,3,3,2,3,3,2,1,2,0,0,2,1,0,3,0,2,3,2,1,3,3,2,1,0,3,1,1,2,3,1,3,3]
[0,2,1,0,1,1,1,2,0,0,0,0,42,1,3,0,3,35,49,63,56,28,35,105,28,91,140,49,98,168,154,182,238,245,406,413,553,693,742,1232,1519,4095,4606,6755,8358,11123,11620,9373,9821,9926,11074,12320,9632,9590,10059,12859,13293,10367,9310,10367,12187,12418,10059,8953,10899,12320,12180,9583,9947,10465,12397,12404,9240,9982,10493,12061,12656,9590,10269,10150,11823,12327,9534,10150,10745,11851,12026,9527,9513,10801,12243,11200,9611,10255,10367,12138,12376,9086,10696,10479,13181,11641,9478,9982,10990,13517,12432,9856,10017,10325,11956,11732,9170,10255,10101,12915,11893,8841,10325,10458,12026,11060,8827,9135,9996,12320,10381,8792,9485,10024,12250,10717,8575,9478,10206,11823,10563,8491,9296,10563,11522,9744,7714,9681,10479,11368,9002,7714,9702,9842,11585,9205,7959,9093,10304,10458,9282,7595,9275,9989,11270,8694,7714,9373,9506,17689,6951,9520,10024,10157,9016,7161,8239,9268,9387,9044,7035,8134,8288,9807,8232,6503,8050,9233,10241,8099,6881,8477,9380,10521,8302,6958,7798,9464,10598,7966,6538,7833,9226,9674,7945,6846,8442,9450,9646,7574,6860,8043,9422,10395,7693,6552,8757,8995,10206,7644,7175,8393,8995,9016,6797,6629,7938,9450,10136,7315,6769,8407,9562,9478,7371,7322,8694,9695,9373,7035,6825,8421,9415,9401,6769,6734,8379,9065,9268,6517,6916,8540,8911,9604,6685,6685,7917,9191,9821,7035,6895,8183,9184,8876,6741,6797,8071,9275,9415,6965,6944,8288,8680,8498,6608,6517,8470,8400,7385,5740,6461,8162,9359,8519,5754,5894,8078,9121,7868,6377,6251,8141,9303,12068,6013,7588,8715,8337,6342,5642,7483,8799,7889,6461,5817,7616,8827,7987,6146,5943,6895,8757,8183,5978,5705,7420,8295,8155,5516,5411,7161,7616,7889,5698,5243,7273,7917,7714,5096,5292,6825,8673,7469,5376,5075,6881,7812,7938,5215,5544,6923,8197,8036,5565,5915,7210,8645,7644,5719,5495,7455,8190,7567,5404,5054,7637,8470,7462,5866,5866,7588,9919,9660,7518,7525,9471,10640,10402,8386,8204,9639,10234,9639,7609,7252,8659,10024,9380,6986,7252,9702,9842,9247,6622,7035,8925,9975,9093,6601,7273,8442,9429,8239,6489,7084,9100,9569,8981,6566,6965,8869,9954,9359,6909,7525,9051,9653,9359,6860,7035,9310,9968,9646,7126,7420,9156,10003,9457,11585,8967,10507,10640,10248,8330,9107,11032,10619,7784,8393,10115,11788,11137,8505,8827,10192,12376,13195,9926,11004,10983,12474,13083,10850,10136,10815,12992,12845,10997,11452,11214,13006,13524,11277,10577,11466,12362,13636,11256,10430,11683,13517,13755,11333,11305,11711,13713,14791,12628,12943,11914,14224,15715,13027,13818,12446,14686,15757,14203,13097,12586,14392,15939,13958,13797,14308,11942,15708,14497,13587,12544,14217,15981,14455,13734,12544,14161,16646,15568,13545,13237,15085,17311,15519,14714,13790,15218,17339,16079,16240,14658,15890,18529,18620,16730,15288,15652,17591,16422,14147,14000,14714,17325,14497,13979,12873,13370,16506,14966,14147,12558,13314,14812,14210,12894,11886,12327,13090,12467,10360,9933,10087,11655,15813,8638,8295,7357,6209,2660,1323,532,287,161,133,98,77,35,3,28,0,0,2,0,2,3,2,2,0,2,2,1,2,2,0,3,3,0,1,2,3,3,2,3,2,2,2,2,0,3,3,3,2,3,3,0,1,1,3,0,3,2,3,1,1,2]
[1,0,1,2,3,3,0,0,1,3,3,1,3,28,2,2,63,2,28,35,42,42,49,70,126,84,105,91,259,189,217,217,448,343,560,574,609,854,1036,1267,2023,2863,4935,6853,9149,10703,12019,9170,9548,11074,12740,12663,9723,9828,10808,13286,12138,9919,10136,10591,11949,11830,10472,10003,10101,11830,12481,10276,9947,10619,11907,11270,9968,9716,10094,11711,11109,9044,10423,10528,12929,12131,9317,11032,10654,12817,11319,9450,10178,10815,12180,10640,9401,10360,10738,13034,11634,8792,10073,10605,12187,11165,8932,10052,10437,12138,11025,9807,10094,10857,12656,10962,8855,9653,11018,11697,10843,8435,9198,10045,11291,10297,8995,9443,10276,12187,10087,8393,9058,10430,11396,9247,8421,9107,10115,12334,10185,8722,9499,10430,12383,9723,8078,9555,10073,12061,9380,8470,9457,10591,11970,9471,9128,16240,12082,9940,8302,9387,10220,10794,9009,7350,8953,9324,10199,8393,7392,8792,9793,10787,8869,7532,8757,9856,10570,8428,7721,8505,9401,10871,7945,6657,8106,9450,10157,7497,7833,8645,10024,9506,7504,7490,8456,9296,9758,6832,6881,8155,9079,9597,7210,6475,8617,9303,9401,7238,7693,8666,9548,9576,6888,7308,9583,9380,9674,6580,7679,7931,9324,9716,7322,6874,8554,10101,9317,7056,7343,8890,9744,9492,7315,7539,8862,9723,9968,6832,7553,9044,10024,9415,7084,7581,12131,9513,7721,6510,8267,9009,9975,8050,7070,8001,8974,10269,8267,6706,7959,9051,10297,8113,6377,7420,8890,9506,7826,6503,8127,9303,10017,7427,6041,7805,8687,9100,8274,5775,7651,14812,8127,6419,6594,7623,9226,7665,6013,6531,8267,8316,7518,5390,6706,8113,8491,7280,6160,7252,7420,8589,7056,5222,7098,8274,8078,7245,5971,7000,7021,8344,6587,5194,6391,7840,8862,6692,5005,6622,7798,8547,6559,5411,6993,7798,8267,6223,5222,6972,8162,8512,6531,4977,6272,7287,8183,6475,5047,7000,7574,7910,6062,5306,6769,8099,7798,6181,5110,6958,7343,8372,5999,5306,7035,8141,8015,6384,5565,7161,8183,8386,6181,5460,6804,8400,8246,6531,5768,7280,8337,8876,6517,5656,7042,7931,8561,6391,5551,7245,8792,8582,6188,5635,7203,8043,7973,6433,5306,7350,8246,8722,6671,5446,7259,8330,8435,6454,5516,7462,8337,8974,6979,5593,7420,15253,7777,6454,7588,8904,9772,8939,6678,7938,8813,10654,9142,6958,8554,9149,10507,9149,7105,7588,8764,10696,9562,7112,8596,9415,11473,10773,8309,9044,10388,12278,11858,9359,9758,10584,12607,12859,10290,10479,10822,12187,12103,9912,10276,11018,12481,13300,9562,10577,10675,12908,13237,10199,10388,10885,13349,14056,12138,11193,12103,14910,14819,12663,12579,12985,14854,15435,14441,12551,12614,15799,16800,14259,13216,14168,15953,16394,13958,12852,14371,16037,16597,14049,13615,13258,15645,15862,14651,13496,12859,15379,17430,15064,13076,13650,14784,18417,15708,14147,13342,15764,17108,15372,15603,14126,15939,17584,17178,15659,14336,16849,19362,17668,15561,15085,15407,17808,16296,15078,13104,14448,16212,13552,12327,21518,14448,13706,11417,11319,11284,11662,11690,8757,9681,9716,10759,9030,7973,8134,8134,6650,4984,2352,861,392,161,161,91,91,70,28,63,1,28,28,0,0,2,0,0,3,2,2,0,1,0,1,3,2,0,2,2,2,1,2,3,3,1,0,0,3,1,3,3,2,2,1,2,2,3,1,1,3,3,3,3,1,0,3]
[1,2,0,2,0,3,0,1,0,2,3,3,3,1,35,0,3,3,35,56,42,49,42,119,77,112,126,112,168,154,182,252,308,287,336,476,483,574,805,896,1428,1869,2646,5411,7602,9940,10409,9793,9366,10150,11746,11263,10017,8911,10332,11046,11977,10178,9058,9905,11592,12054,10150,8603,10010,11921,11004,9457,8512,10045,11473,11522,9443,8869,10213,11221,10829,9618,8897,10696,11998,17997,8988,9632,11340,12558,10745,8652,9079,11305,12012,10423,9121,9961,11270,11144,10850,9289,9520,11648,11396,10031,8029,9604,10717,11291,10164,8708,10318,11886,11725,9800,8659,10458,11368,10955,9765,9191,9863,11200,11039,9429,8498,9821,11473,10794,9457,8862,9982,10626,10787,8876,8435,9443,11480,10073,8939,7931,9611,11200,9744,8323,7756,9352,10584,9744,7826,7175,8750,10822,9912,7966,7700,9891,10661,9282,7651,8309,9961,10311,9849,7987,7294,8904,10248,9443,7504,7336,9093,9779,8883,7378,7826,9233,9695,9079,6699,7056,8778,8974,8540,7035,7273,9205,10003,8680,7469,7938,9828,9940,8323,6545,7105,9030,9828,7112,6517,7070,9030,9191,8218,6811,7280,9114,9359,7700,10780,9002,9443,8589,6335,6853,8841,8918,8589,6293,7042,8512,9331,7987,6713,6825,9345,9268,8106,7133,6846,9114,9856,9121,6944,7315,9086,9681,8463,6909,7273,9345,9674,8141,6965,7028,8456,9380,7826,6636,7140,9268,9457,8120,6685,6937,8764,9534,7525,6496,7028,9296,9436,7532,6475,6804,8792,9002,8435,6790,7210,9107,8820,7182,6216,7266,8610,8750,7448,5334,7210,8687,8771,6713,6293,7357,8813,8806,7630,6363,7133,9002,9100,6650,5859,7266,8498,7994,6699,5516,6783,8316,7511,6328,4991,6412,7959,7707,6363,5159,6860,8267,7959,6594,5383,6027,8316,8197,6006,5432,6363,8225,7637,5971,5418,6545,7644,6979,5565,5089,6363,7959,7735,6391,8358,7553,7952,6720,5117,6118,7777,8393,6797,5474,5894,7658,8526,5992,5159,5565,7000,8204,6706,4928,5761,7280,7861,6279,5460,5733,7322,7945,6720,5145,6069,7889,7882,6356,5600,6377,8218,8540,7133,5873,6958,8337,8610,7252,5607,6979,9100,9058,6538,5285,6020,7819,7994,6748,5390,6216,8029,8617,7147,5495,6174,8449,8407,6958,5719,6265,8764,8351,6552,5516,5999,8099,8946,6881,5691,6272,8673,8925,7161,5775,6552,8771,9072,7462,5607,6895,9401,9156,7406,5936,7084,8890,8792,7553,6335,6804,9345,9247,7595,6328,7098,8995,9086,8190,6783,7301,9296,9856,7875,6328,7070,9842,9429,7938,6720,7252,9478,9758,8330,6566,8204,9457,9730,8540,12166,9618,11165,9856,7861,7798,10038,10059,11067,8813,8435,10591,11431,10178,8862,9086,10346,11200,11025,8834,9219,10325,12019,11235,9604,8386,10864,11767,11312,9639,8687,11025,12110,10857,9527,9002,10738,12327,11823,9730,9870,11494,13692,12369,10535,10682,13104,13937,14252,13209,12369,13825,15834,15967,15316,15386,15617,17003,17052,15806,13958,14728,14595,14581,12733,11361,12152,12425,11935,9919,9541,11011,12551,11060,9674,9030,10255,11417,11221,9611,8932,10101,11046,10192,8477,8029,9443,9919,7455,5033,2457,1071,399,238,133,140,49,56,49,2,49,28,2,2,1,3,0,3,3,2,0,0,3,3,0,1,2,1,0,2,2,0,2,0,0,3,3,2,1,2,0,3,3,1,0,1,0,2,1,2,1,0,0,3,3,3]
[2,0,2,2,3,1,1,1,3,1,0,1,2,2,3,3,56,1,35,1,35,49,42,98,119,91,140,112,168,182,287,245,308,420,399,595,630,707,952,1337,1995,2877,4669,7651,9541,10703,11074,10934,9667,10269,11767,11998,9975,10185,10248,11634,12222,10507,9597,10549,12236,12481,10052,9723,10444,11648,12131,9422,9814,10164,11389,12908,10283,10619,11179,11641,11767,9758,9653,9947,11956,12194,9366,9646,11011,12453,11375,10136,9842,10220,12992,11914,9513,9548,10514,11543,10962,9499,9695,11074,11907,11557,9408,10094,10668,12110,11088,9604,9954,10703,11382,11018,9457,9835,10717,11991,11445,9289,10297,11025,11837,11263,9492,10094,10430,11424,9891,8631,9359,11116,11060,10325,9051,9464,9982,10857,9912,8785,9331,10843,11872,10458,8736,9989,10276,11536,8939,8197,15911,11123,10402,8162,8687,9478,10899,9541,8547,9709,10108,11193,10122,8043,9317,10227,10437,8988,7441,8379,9450,9968,8827,7784,8841,9534,10024,8148,7504,8351,9870,10318,8029,7413,7924,9520,10311,8722,7588,8449,9380,10206,8351,7273,8484,9352,9660,8113,7357,8407,9730,9261,7854,7112,8442,9289,10696,7602,7175,8785,9310,9947,7686,7070,8554,9646,9471,7504,7217,8673,9870,9352,7896,7238,8974,9422,9352,8008,7497,8771,10115,9219,7175,7056,8211,9576,9562,7280,7140,8841,9317,9373,7343,7294,8589,9646,9996,7371,7588,8512,9632,9191,7525,7966,8659,9807,8806,7259,7770,8862,9548,8743,7294,7140,8960,9338,8974,7329,7742,9121,9051,9170,6706,7497,14049,9044,7168,6510,8498,9296,9233,6650,6279,8183,8386,8295,7140,6314,7896,8127,8337,6146,6027,7623,8190,8764,6412,6237,7987,8659,9135,5404,6181,7357,8204,8603,5901,6923,7770,8596,8246,5516,6244,7399,7945,8414,5684,6055,7679,8715,7630,5628,5593,7427,8036,7623,5943,5565,7931,8225,7567,5859,6006,7476,8232,7861,5432,6097,7182,8197,7546,5320,5768,7406,8239,7560,5460,5635,7861,8015,7854,5453,5614,7483,8421,7847,5775,6272,8239,8925,7658,5642,6020,7749,9366,7875,6083,6209,7518,8344,7462,6013,6083,7336,8911,8302,5817,6937,8512,8246,7525,5726,6972,7630,8547,8393,5418,6272,8428,8561,7791,5929,6643,8197,8806,8715,5950,6965,8085,14616,6755,6566,8323,9618,9212,6517,6594,8785,9345,8890,6762,6552,8344,9170,9730,6727,7077,8470,9513,8666,6965,6461,8498,9324,9989,7476,6832,8400,9114,9828,7168,7315,8288,9947,9702,7266,7553,8561,9394,9786,7609,7616,9135,9870,10465,8029,7784,9268,9723,10010,8351,7630,9800,10556,11683,9002,8379,10192,12173,14539,11648,13265,10899,13685,15512,15267,14336,14098,15197,15393,14721,14700,14014,15561,16072,15750,15113,13608,15323,17171,17283,16310,14399,15869,17213,18102,16548,15064,16051,17465,17465,16996,15442,15232,16114,17087,15540,14833,15428,15834,15386,14084,13958,14665,15218,15575,14406,14070,14147,14126,14126,13776,12866,13580,14385,13412,12782,12803,13951,14154,12558,12131,11494,21532,13202,9877,10682,11753,12544,12236,9989,10479,10976,11557,12901,10703,10892,11466,10745,10339,9583,8918,8764,7231,5733,3297,1561,707,343,224,119,56,63,42,35,0,28,3,2,1,0,0,2,3,0,2,1,1,0,2,1,2,0,2,2,0,2,2,1,2,0,1,1,1,3,1,2,3,3,1,3,2,2,0,0,2,3,0,0,3,2,3]
[0,3,1,0,1,2,1,0,0,3,0,3,0,0,0,3,1,35,2,0,28,42,28,56,91,91,133,112,154,175,189,238,224,266,350,427,518,707,735,1134,1351,1827,2478,3864,6216,7875,7091,6062,5943,7014,8274,8302,6559,6272,7231,8323,8722,6734,5628,6755,8785,8393,6629,6244,7525,8057,8106,6524,5684,7469,8624,8267,6090,5698,6727,8687,8085,6335,6020,7784,8757,7798,6048,5901,7700,8512,7623,5516,5446,7056,8204,7651,6118,6671,7840,8239,8120,6265,5943,7525,8540,7693,6258,5929,7861,7959,7616,5677,5831,7308,8708,7483,5691,5845,7350,8246,7126,5922,6342,7532,8841,7063,5845,10535,8183,7399,5579,5810,6650,7763,7322,6013,5754,7175,8204,7133,5355,5124,7154,7714,6314,5180,5936,6657,7427,6461,5439,5397,6692,7714,6412,4963,5467,7553,7609,5901,4564,5460,6734,7777,5712,4655,5621,6790,6776,5579,4585,5068,6860,6895,5320,4900,5019,6440,7007,5439,4326,5173,6405,6594,5320,4480,5299,6699,6377,4879,4634,5292,7196,6503,4879,4767,5341,6923,6524,4900,4382,5194,6545,5859,4893,3913,5159,5964,5999,4571,4375,5068,6580,6055,4480,4165,5131,6783,6216,4410,4312,5488,6601,5978,4571,4431,5019,6657,5957,4669,4445,5544,6482,5726,4641,4326,5348,6622,5677,4186,4179,5187,6426,5397,4095,4165,5404,5621,5866,4375,4620,5782,10675,4872,4403,5068,6909,5852,4879,4200,4851,5803,6685,4676,4473,5404,6482,5936,4704,4130,4711,5985,6041,4445,4368,4501,5859,5572,4375,4025,4536,5719,5481,4039,3829,4487,5390,4732,4193,3717,4515,5761,5530,3885,3521,4438,6062,5026,4053,4053,4725,5635,4781,3906,3332,4137,5348,4522,3367,3276,3990,5075,4599,3353,3451,4151,5278,4256,3640,3661,4347,5530,4641,3528,3318,4361,5075,4277,3465,3227,4263,5404,4529,4165,3311,4151,5341,4599,3430,3395,4333,4788,4368,3584,3101,4522,5152,4445,3234,3101,4536,4970,4193,3129,3668,4389,5425,4144,3171,3752,4361,5341,4291,3577,3542,5026,5964,4802,3542,3430,4543,5516,4949,3815,3465,4578,8680,3759,3353,4137,5215,4690,3906,3395,4606,5887,4984,3843,3745,4319,5383,5439,4487,3584,4480,5733,5460,4137,3899,4732,5824,4858,4088,3752,4802,6559,5355,4081,4004,4718,6356,5551,4039,4186,4725,5922,5684,4410,4025,4935,6195,5964,4795,4284,5614,6867,6167,5138,4242,6034,6524,6188,4809,4081,5383,6874,6300,5005,4571,5523,6741,6643,5194,4858,5481,7007,7098,5593,4312,5670,7287,6734,5495,5747,6804,9387,9744,8323,9128,11032,13713,13433,12068,11291,11578,14182,14126,11067,10955,11739,13083,13755,12103,10507,11494,13251,12726,10885,9541,11284,13804,13671,12481,10780,11942,14392,14721,13342,12684,13272,15169,16471,13419,12873,12957,14728,15932,13300,11319,11130,21469,11060,9317,9590,11032,12726,10549,8946,7917,9205,10213,9527,7378,7826,9226,10962,10843,8134,8722,10451,13006,10773,8379,7140,8400,9338,8498,6573,6608,8050,9450,8358,7525,7280,8687,10437,9044,7112,6545,8057,10143,7903,5999,6223,7049,7924,5908,3395,1736,805,525,252,189,126,84,63,49,56,28,1,0,1,3,1,2,3,0,0,0,1,0,0,2,28,3,1,1,1,2,2,3,1,2,3,0,0,0,3,3,0,3,1,3,2,1,1,0,2,0,2,2,0,0,1]
[3,3,3,1,1,0,3,3,1,3,0,2,0,0,28,28,2,28,49,70,91,98,56,98,126,168,161,119,161,245,280,343,462,525,476,756,854,1351,1652,2520,4648,6895,8484,11053,11641,10535,9590,9527,11795,12012,9891,9898,10591,12383,12684,10976,9940,10395,11676,12411,9793,10612,11256,12488,12229,10199,10262,11137,12544,12474,11228,10206,11382,12327,12740,10080,9926,11739,12019,12187,10052,10556,10234,12040,12383,9394,9779,11585,11739,11270,9338,9653,15694,11256,10675,12985,10612,12082,11249,10717,11480,14042,18865,9212,9170,9891,11277,12005,9807,9849,10731,12817,11158,9674,9513,10479,12138,10276,12488,9835,10521,11571,11291,8561,9478,10927,15575,9961,9317,8946,13965,10423,11620,9576,10759,10423,10430,8687,10052,10654,11305,9863,8449,9233,10381,10829,9765,8470,9345,10493,10563,9261,8848,9821,10318,11004,9128,8267,8841,10955,10647,8596,8050,9261,10605,10157,7910,7203,8372,10003,10444,8204,8050,8638,9905,10318,8323,7693,8512,9856,9919,7819,7525,9191,9674,9513,7399,7350,9163,9373,10038,6916,7378,9065,9422,10927,5817,7371,9079,10199,8883,7945,7525,9051,10430,9786,7413,8351,9303,10612,9548,7182,7924,9492,10073,8820,7280,7903,9044,14140,8631,7343,11578,10101,11683,7266,7469,9401,10178,9443,6727,8176,9009,10619,9751,6937,7357,8792,9548,9527,7140,8008,8596,10003,9156,7756,8176,13419,10528,7077,10836,7924,13419,9317,7259,7651,9058,9870,8582,7511,7504,8939,10241,8470,6622,8309,9485,9415,8491,6741,7574,8715,9436,8428,6111,7700,9170,9779,8134,5922,7154,8813,9261,7448,6664,7518,8106,9030,6993,6517,7280,8463,8337,7217,5978,7161,8974,8680,6993,5530,7273,8127,8337,6076,5768,6818,8204,8358,6951,5467,7504,7987,8785,6559,5712,7014,8470,8561,6776,5397,7133,8540,8477,6517,6069,7532,8988,8029,6419,5194,7231,8428,8246,5922,5873,6685,8344,8267,6314,6244,6930,8785,8085,5936,5894,9436,8771,10017,9793,8589,11578,7119,5124,6657,8183,8981,7056,5740,6559,8316,8659,9051,6195,7441,12250,8463,6076,7364,7672,8533,8155,5810,9450,9030,12285,6818,5726,7525,11746,7672,5740,5943,8113,8855,7952,6342,6965,12362,8869,7665,5936,7175,8547,9387,8057,6104,7700,9723,8939,7588,6034,7042,8827,9191,7413,6601,8183,9373,9863,7413,6461,7938,9555,10073,8225,7217,7574,9569,10017,8379,7126,8176,9681,10276,8414,6713,8925,9079,10227,8127,7189,9121,10549,11214,9695,8645,9674,11900,13776,13216,11984,12495,14588,14609,16289,14588,14609,14973,15848,15568,13468,13895,15113,14560,14336,13601,13062,14539,14679,14364,12803,12705,13818,14350,13307,12747,11956,12950,22799,12558,12628,18578,15099,15351,13685,14147,14196,14630,15540,15512,13356,20552,15470,14070,14441,13622,13706,14007,13286,11158,13216,12803,13223,13377,12593,12593,13111,13223,14007,10031,17080,13853,13174,12887,12124,13461,14049,16436,12320,10899,11312,12516,12026,9863,11746,10213,12068,12243,10472,10906,12187,11956,12614,10563,10906,11522,11396,11046,9366,9296,9849,9240,6048,3983,1610,840,378,224,217,98,84,35,1,2,1,0,28,0,3,0,3,2,2,0,1,1,1,3,1,3,1,3,0,3,1,3,1,0,1,3,3,0,2,2,2,1,2,0,3,3,3,2,0,0,2,0,0,0,1,1,2,0,2,1,0,1,2,3,3,1]
[3,3,3,3,3,0,3,0,1,3,0,0,0,2,3,0,35,0,1,3,3,35,56,84,77,63,119,126,147,91,175,287,280,343,427,406,574,700,1358,1323,1869,2443,3801,5201,7420,8029,7798,5831,6405,7903,7952,7294,5936,6146,7798,7756,7161,5607,6384,8358,8393,6972,5558,6524,8071,8568,7350,5922,7399,8540,8127,6657,5999,6860,8260,7945,6545,6153,7581,8897,8323,7126,6426,7042,8253,8344,7217,5873,7028,8148,7700,6118,6475,7399,8757,7567,6762,6209,7357,8253,8309,6524,6153,7119,8330,7504,6685,6132,7301,8484,7329,6146,5684,6888,8190,8155,6405,5418,7343,7588,8078,6370,6055,7322,7630,7749,6090,5537,6811,7770,7476,5929,5369,6538,7665,7182,6132,5299,6650,7329,7623,6342,5103,6916,7161,6699,5481,5208,7077,7700,6748,5404,5544,7014,6930,6972,5306,5243,6818,6587,6174,5327,9142,6510,6216,5005,4879,6377,6587,6209,4816,4641,6174,6468,5838,4676,4970,6342,6482,5474,4676,4879,8617,6664,5495,4340,4599,6048,6118,4634,4158,4585,5698,5719,4991,4228,4648,5943,5222,4879,4088,4837,5719,5656,4606,4487,5103,5796,6111,5159,4088,5166,5733,5719,4900,4424,5082,5754,5572,4760,4011,5103,6153,5411,4515,3969,5411,6608,6258,4795,4571,5005,5460,5579,4872,3948,5341,5838,5964,4578,4361,5271,6237,5593,4648,4305,5061,5656,5544,4753,4102,5187,5509,5796,4459,4018,5131,6006,5558,4200,4298,5565,5796,5579,4606,4011,4641,6006,5810,4963,4060,4942,5915,5103,4403,3822,4809,5194,4550,3955,3815,4424,5187,4662,4326,3976,8127,4970,4046,3731,4116,5110,4298,4046,3556,3570,5082,4830,4095,3423,3885,4823,4585,4032,3255,3626,4739,4641,3654,3367,3738,4522,4361,3829,3143,3857,4606,4480,3493,3444,4291,4984,4648,3689,3381,4620,4879,4662,4004,3430,4067,4641,4424,3507,3129,3990,4347,4151,3584,3045,4179,4998,4410,3668,3087,4487,4963,4613,3927,3213,4032,5026,4263,3654,3248,3654,4991,3808,3458,3458,4214,4753,4662,3829,3507,4774,5320,5026,3983,3409,4655,5243,4375,3675,3773,4130,4907,4249,3661,3542,4291,4984,4438,3927,3780,4193,5271,4508,3633,3444,4074,5586,4557,3955,3836,4683,5201,4879,4144,3570,4550,5250,4732,3717,3857,5005,6489,5292,4214,4088,5229,9975,4879,4011,4669,5586,5761,4802,4186,4872,6482,6090,4991,5089,6237,8092,8498,7777,7490,7651,10255,9849,9667,8890,9478,9996,10815,9989,8568,8848,10591,10255,9688,9828,10668,12362,12537,11935,10885,11697,14819,13867,12180,11872,11368,13293,13510,12264,11102,11466,13300,13188,11095,10451,11319,12628,13587,11641,10038,10598,13272,11641,10395,8148,8624,10367,9114,8071,7609,9492,12474,10801,10549,9674,10612,12649,13013,12040,11592,12327,14336,14182,12313,10234,10283,11291,10850,9884,8820,9261,11487,11193,9849,8932,8834,10997,10640,9520,8106,8743,11242,11053,9184,8512,7931,10962,10395,9177,8050,8449,9961,9268,8323,7896,7231,8778,9457,9072,8001,8113,10976,10983,9415,8036,7476,14924,8547,6804,5985,7210,7945,5992,3717,2002,882,420,308,161,91,56,70,28,56,1,1,1,0,3,0,1,1,2,3,0,0,0,1,2,1,3,0,2,2,3,1,2,0,0,1,3,0,3,2,0,1,2,0,0,2,0,0,0,2,0,0,2,1,1,3,2]
[1,1,2,0,0,0,3,2,3,0,3,2,1,2,1,0,0,35,2,0,35,63,42,35,91,49,119,105,140,238,140,287,217,350,399,357,462,700,791,959,1512,1820,2499,4963,7399,9121,10255,11186,9912,9450,10773,11823,10745,9366,9296,10794,11949,10962,9359,10010,10626,12313,11746,9618,9919,9968,11907,12614,10101,9674,10899,12453,11956,9877,9352,10857,11788,17556,9562,10598,11858,11319,10360,9884,11536,11893,12194,9310,9583,10619,11865,11753,10178,9870,10542,12425,12131,9492,9688,10178,11690,11382,9751,9527,10780,11410,11529,8701,9807,11305,11347,11165,9184,10115,10437,11277,10577,9387,9499,10472,12201,10822,9086,9373,10703,10570,10591,8792,9247,10318,11263,9884,8456,9408,9898,11004,9919,8302,9345,10717,11207,9905,8799,9086,10367,10738,9730,8197,9765,10311,11389,9702,8554,9261,10724,11067,9737,8316,9387,10584,11480,9737,8484,9492,11053,10577,9128,7812,8995,10248,10178,8190,7861,8316,9898,9737,8071,7266,9212,10003,9660,8015,7280,8988,9849,9002,8162,7812,8120,10570,9982,7105,7623,8358,9667,9261,7441,7518,8771,9401,9709,11704,8477,9415,9422,7952,6965,8260,9905,9877,8197,7238,8771,9541,9499,7532,7819,8848,9121,9534,7560,7322,9555,9828,8897,7217,7091,8372,9079,8925,7861,7301,9233,9646,9149,7441,7329,8652,9443,9205,7581,7518,9331,9373,9618,7420,7308,9016,9856,9527,6923,6965,8862,9373,8862,7112,6972,9569,9261,8939,6825,7098,8456,9254,8729,7294,7546,8141,10150,8477,7756,7364,8743,9464,8995,7175,6811,8708,8960,8701,6902,7497,7931,9282,7889,6405,6734,8400,8582,7840,6601,6734,8036,8722,7210,5957,6384,7840,8659,7448,6202,6517,8169,8610,7252,5873,6685,8281,8302,7070,5285,6083,7420,8260,6972,5068,6342,7539,8372,7301,5649,6090,8225,7812,6454,5642,11564,9100,8155,6902,6097,7644,8918,7364,6125,6160,7588,8785,8057,5656,5817,7658,9002,7532,5530,5894,7084,8120,8134,6111,6503,7994,8638,7714,5754,6104,8281,8596,7119,5894,6069,7203,8379,7427,5565,6258,7679,8638,8491,6153,6426,7147,8645,8246,6132,5768,8491,8687,7847,5866,6475,7686,8722,7826,6258,6132,7350,8876,7903,6195,7007,8036,9198,7616,5901,8652,8274,8778,7644,6125,7357,9555,9317,7931,6643,6902,8939,9170,8022,6650,7525,9163,9345,8246,6538,8099,9373,9688,7805,6769,8155,9772,9702,9100,7315,9457,11137,14364,10360,11011,11340,12852,13587,14014,12453,13139,13797,13846,14308,13510,13076,14462,14917,14189,13090,13370,14378,14147,14735,13755,21553,14714,15701,14245,13608,14658,15708,14665,14455,13902,14287,15470,15001,13916,14035,14805,14917,15694,14427,12887,13923,14133,14609,11956,11018,12012,12691,11837,9310,10094,11935,13209,13125,12376,12012,12425,13405,15274,13888,13937,13965,15442,15974,15120,14021,13559,13377,13748,12152,11284,12670,13426,13321,12173,11340,12068,12985,14336,12698,12019,12775,13720,14105,11662,11368,11522,12943,12362,11242,10745,10703,11578,11879,10878,10157,10927,12012,11935,11165,11025,11158,12166,12467,11557,10409,10500,11095,10493,9961,8813,9695,9800,7287,5124,2317,1218,518,238,203,147,49,42,28,28,0,28,1,3,0,0,0,2,3,0,0,2,1,0,3,0,2,3,2,0,1,1,1,2,0,0,3,0,0,2,1,0,1,1,2,2,1,2,2,0,2,1,0,1,2,1]
[0,0,1,0,0,1,1,1,0,0,2,0,3,2,2,2,28,2,3,0,35,2,42,63,3,91,98,105,154,147,168,189,217,322,266,357,532,581,721,910,1435,1855,2982,4984,7063,9002,10178,10220,9394,9240,10801,19292,9954,9604,10535,12411,11977,10486,10017,11550,12103,11543,10143,9891,11102,12635,11767,9737,10185,11326,12208,11942,10521,9807,10549,11452,11186,9191,9275,10794,12215,10759,10115,9373,10920,12124,10661,9310,9170,10395,11697,10647,9674,8890,11333,11711,11767,9065,10248,10836,12320,10381,9989,9590,11907,11606,10409,8995,9394,11291,11417,10297,9422,9646,9856,11480,10423,8694,9212,10374,10920,9947,8708,9191,10479,11004,10157,9184,9856,10535,11228,10416,8624,10024,10794,11263,10136,9289,9163,10773,10185,9982,8813,9394,10493,10836,10234,8638,9891,10528,10885,10010,8484,9296,11095,10444,9023,8834,9604,10234,10598,8876,8792,9625,11060,10416,8400,7952,9107,10514,8953,7882,7623,8533,9569,15155,7469,8295,10010,9737,8162,7056,8841,10178,10059,7595,6685,8190,9023,9331,8099,7126,8260,9296,9338,7574,7364,8841,9226,8834,7483,7056,8617,9926,8596,7833,7322,8246,9177,9289,7028,6783,8764,9254,8932,7161,7140,8225,8764,8750,7637,6881,8715,9583,8659,7287,7567,8484,10017,9023,7427,7133,8498,10115,8736,7665,7350,8365,9296,9345,7763,7245,9233,9366,8890,7525,7049,8967,9835,8659,7434,7070,8792,9149,9233,7063,7287,8932,9352,8715,7301,7182,9254,9079,8204,6769,7175,8463,8323,8274,7329,6860,8526,9366,8134,7070,6923,9569,8953,8372,6713,7105,9191,9184,8316,6461,7224,8799,8820,7994,5950,6650,7945,9268,7343,6069,7434,7966,8414,7602,10024,8148,8729,7973,6370,6251,7980,9373,7847,6307,6181,8197,8141,7588,5530,5404,7406,8197,7553,5747,5803,7637,8253,7091,5845,6097,8232,7882,7917,6951,5838,8190,8813,7889,6216,6825,8057,8792,7651,6055,6083,8029,8596,6916,6125,6363,8078,8771,7399,5509,6489,8337,9072,8358,6230,6601,7903,8428,8134,5691,6622,8351,8554,7455,6139,7000,8267,8407,7525,5873,6881,7875,8148,7280,5733,6006,7840,8988,7490,6195,6650,8106,8694,7098,6097,6510,8729,8575,7882,5901,6853,7980,8617,7672,6258,6776,10192,7490,8092,6769,7028,9282,8967,8022,6538,7805,9016,9611,8239,6503,7119,8827,10234,8498,7133,7315,9002,9345,8274,6671,7266,8295,9884,9275,14000,10528,13076,13279,13097,11767,12593,14210,15176,14679,13615,13951,14168,15071,14665,13622,14126,15316,14812,15372,13356,14385,15253,15960,15680,14532,14812,16520,15841,15897,14609,13951,14651,15967,14609,14861,14553,15120,15757,16121,15106,14329,21693,16058,16184,15190,15484,15344,16205,15141,14301,14679,15001,16380,14602,14308,13258,14889,15771,14581,13510,14483,15029,16030,15435,14714,15267,15288,15540,14861,14294,14455,14497,13972,12012,12474,12971,13531,13818,13916,12432,13748,14385,14693,14287,13174,13811,15449,15421,13636,12999,14539,13398,13363,11711,10948,12047,12901,12516,12089,11095,12824,12789,13398,12376,11872,12145,12418,12880,11459,10402,10549,11067,10780,9135,8484,8918,9058,6398,4284,2107,826,539,336,224,126,49,56,77,28,0,2,0,3,3,3,2,1,1,3,2,0,0,1,3,0,3,2,3,0,1,0,1,2,1,3,1,2,2,3,1,2,0,1,2,0,3,2,1,0,1,0,1,3,2,0]
[0,1,3,2,0,0,1,3,1,2,2,2,1,0,1,0,3,2,35,0,70,35,63,56,70,56,98,140,105,154,189,343,273,350,399,392,644,728,889,1225,1967,2667,5047,7084,9478,10010,10206,9471,9051,10647,11613,11389,9338,9114,11207,11893,11585,9254,9394,11151,12418,11529,9779,10430,11816,12642,11256,8904,9800,11116,12600,11116,9639,9877,11767,11690,11494,9086,10381,11102,12068,11151,9310,10416,11242,12208,11200,9926,10332,11326,11711,11529,9583,10178,11928,11438,10710,8911,9940,10619,11816,11459,9359,10234,11501,11375,9989,9555,10129,10878,11158,10584,9142,10360,11466,11627,9758,9170,10556,10731,10591,9751,9051,9954,11053,11319,9009,8666,9821,11326,10402,9219,8232,9709,10304,10311,9646,9072,9583,11207,10367,8743,9450,11011,10983,10066,8750,8666,9695,10136,10115,8477,8120,10108,10612,16107,8239,9051,10661,9975,9625,8288,9170,9695,9926,8596,8092,9310,10864,10486,8274,7385,8897,9688,9492,7707,7574,9373,9555,8701,7343,7266,8974,9786,9303,7994,7399,8778,9030,9149,7413,7483,8526,8890,8750,7245,7630,8792,9821,9016,7462,7770,9142,9156,10045,6307,7203,9177,9394,8526,7021,7532,9338,8974,8519,7350,7462,9527,9674,8323,7021,7259,9142,10017,8715,6755,7749,8505,9457,8337,6944,7749,8673,9121,8827,6895,8113,9590,9905,7931,6937,7539,9366,9100,9037,7294,7931,9114,9709,7651,7217,7945,8736,9576,7966,7182,8547,9317,9464,8330,6629,7896,9576,9282,8505,7042,7413,9268,9429,7287,6853,7602,9289,9548,7343,6881,7749,9037,8463,7280,11396,8456,8953,7266,6195,7021,8806,9058,7581,6377,6811,8379,9184,8071,6559,7259,8288,9380,8071,5929,6608,8778,8862,7651,5467,6384,8813,9506,7847,5985,6524,8204,8561,7077,5656,6916,8302,8967,7007,5698,6776,8316,8750,7308,5999,7056,8652,9513,7231,5852,6629,8603,8792,7252,5957,6587,9072,8953,7105,5551,6615,8477,8834,7112,6174,6692,9009,8806,7210,5901,7000,9149,8589,6832,6139,6657,8575,8855,6776,5761,6622,8386,8967,6580,6447,7560,9576,9065,7343,5943,7609,9023,8540,6727,6300,7455,9415,9534,6762,6692,8155,9730,8491,6937,6237,7455,9226,8820,7462,6104,7413,8750,9261,6657,6650,7777,9156,8659,6657,6587,7245,9345,8442,7252,11130,9107,9653,7658,6496,6643,9464,9940,8134,6258,6895,9254,9499,8344,6699,7105,9450,9702,9205,7301,7812,9779,10682,10136,8078,8267,10213,10773,9765,8505,8519,10731,10836,10437,8022,8610,10668,10773,10241,8316,8330,10794,11991,10171,8344,8946,10332,12446,11193,9576,10472,12278,12411,13132,12278,12334,13076,13881,14595,14336,11998,13902,14707,14084,13160,11795,13167,13783,14147,13307,11606,13412,14224,13440,12243,11872,13391,14007,13601,12831,10955,13237,13664,13888,13160,12369,13321,14553,14392,13258,13055,13237,14749,14917,13083,12180,14084,14756,15120,14623,14175,14903,14350,16233,15799,16079,15435,22169,17388,16051,15813,15372,15106,16506,13818,13573,14784,14021,13601,12180,11438,12418,13930,12152,17591,11865,12348,13328,11655,11193,11795,12236,10836,10031,9191,10101,9611,6958,4718,2282,1120,462,245,147,63,91,49,70,3,28,0,0,2,1,2,1,1,2,1,2,3,2,0,0,3,2,1,3,1,1,0,3,1,0,3,3,3,2,3,3,3,3,3,0,2,1,3,1,0,0,3,0,3,2,3,0]
[2,2,2,0,1,2,1,0,3,2,3,3,0,3,1,1,28,42,1,2,3,84,3,63,98,42,105,63,119,126,147,252,280,308,308,378,595,602,1400,1155,1533,2121,3199,4291,6244,7084,7189,6209,5355,7112,8169,7287,6174,6314,7294,8645,7665,6545,6412,8281,8337,7609,6433,5852,7525,8288,7308,6643,6447,7112,8323,6909,6230,6370,7532,8085,7280,6160,5859,8113,7224,7091,5684,6342,7434,7497,6993,5901,6398,7945,8176,7525,6447,6531,7567,7539,6545,5740,6041,7707,7329,6776,5866,6531,7595,7756,6853,6293,6244,7770,7861,7357,5782,6139,8169,6930,6125,5502,5957,7385,6972,5761,5894,6020,7665,7280,6132,6069,6062,8022,7511,6426,5607,6545,8036,7112,6426,5495,6349,7007,6412,6223,5432,6321,7315,6965,5467,5271,6636,6944,6734,5852,5096,6426,7350,6468,5439,5166,6888,7252,6258,5586,4872,10598,6048,5341,4578,5523,6909,6181,5481,4137,5481,5754,5803,5236,4746,5425,6279,5726,4788,4340,5467,6559,5971,5096,4179,5320,6048,5684,4886,4529,5166,6412,6006,5061,4718,5677,6356,6139,5187,4865,5586,6153,5922,5026,4158,5656,6055,5509,4522,4235,5845,5810,5131,4389,4116,5271,5740,5355,4417,4459,5306,5264,5222,4501,4501,5607,5656,5495,4522,4200,5481,5887,5201,4319,4354,5551,7084,4473,4431,4725,5481,5544,5068,4550,4613,5957,5831,5803,4452,4676,5747,6090,5474,4900,4830,6335,5908,5355,4480,4403,6181,6174,5453,4704,4550,6013,5789,5355,4515,4935,5537,6258,4970,4242,4235,5054,5446,4788,4053,4305,4865,5586,4585,4291,4326,9478,5299,5768,6916,8239,10661,10339,9821,9856,11809,12593,11473,9366,8337,8365,8547,7140,7098,6580,7973,8008,6692,7469,7546,9478,10458,10059,9667,9009,11711,12278,12012,10934,10227,11151,12824,11207,10360,10115,11571,12054,12208,11032,10402,11697,12908,11487,11564,11088,13447,13860,12103,11193,11207,12047,12894,12026,10199,9954,10976,11704,10969,9723,8953,11291,12040,10213,9688,9268,10640,10829,9926,8407,8239,9247,10612,8806,8113,8638,9660,10612,9926,9051,8337,11298,9037,9905,8834,8302,10171,10696,9219,8505,8407,10836,10297,9695,8435,9198,11242,10808,10213,9653,9401,10563,11487,10913,9177,8925,10234,9723,9149,8519,8435,9800,10052,9702,8526,8407,10395,10836,10157,9184,8925,16863,9632,9450,7707,8834,10045,9527,8883,7833,8953,9828,9051,8701,7497,8813,9086,9219,8610,8295,9198,10073,9625,8771,8288,9919,10346,9373,9009,8505,10206,11130,10654,8946,9184,11179,11858,10857,9317,9009,9716,10787,9534,8883,7847,9961,10668,9744,9184,8680,10402,12761,11473,9758,9947,10829,12901,11242,10759,9401,10416,11872,10675,8449,8358,9128,10486,9380,9534,8092,9989,9856,9793,9562,8323,9156,10668,9702,8848,8610,9709,10773,10689,9646,9191,9954,11319,11158,10136,8953,9849,11683,11557,10696,9842,11564,14273,14056,12642,11788,12670,14581,14469,13209,11452,12012,13902,13391,11550,10941,12712,14329,13993,12614,11592,12257,13846,13391,12404,10458,10360,10738,10185,8449,7679,8428,16807,8470,7063,6734,8190,7966,5236,3038,1442,749,427,273,189,91,63,63,49,35,3,1,1,1,1,1,3,1,1,1,2,0,1,2,3,1,2,0,0,2,0,3,3,0,2,0,0,3,0,2,0,2,1,2,1,2,2,2,0,1,1,3,2,1,3,2]
[1,1,2,2,3,2,2,1,0,3,2,3,2,1,2,0,42,0,35,42,42,2,84,56,84,70,119,119,105,245,210,196,259,238,336,336,497,469,651,910,1050,1967,2303,3640,5950,7952,8197,6769,6629,7168,9128,9247,7049,6454,7203,8736,8792,7091,6328,7518,8330,8904,6874,6636,7637,9268,9058,6944,6230,7826,15183,7091,6020,6524,8323,9037,7098,6524,8043,7539,9464,8407,6020,7133,9121,9037,7504,5838,6825,8260,9170,6573,6118,7567,8540,8701,7168,6622,6916,8806,8351,6762,6195,7434,8547,8946,7574,6377,7301,8645,8659,6622,6286,7287,8855,8470,6587,5775,6993,8407,7791,6440,6041,7035,8617,8113,5747,6048,7217,8204,7483,5348,5495,6580,8533,7525,5859,5929,7161,8764,6776,6202,6020,7371,8946,8113,5201,6027,7931,9044,7812,5635,5789,7560,8218,7525,6531,6839,8603,8729,7175,5446,6769,7875,8435,6895,5292,6027,7462,8421,6657,5327,6020,6587,7658,6041,5495,5992,7826,8428,6244,4865,5593,7427,7931,5642,4473,5299,6762,6839,5054,4123,5586,6216,10892,4543,4991,6790,7301,5789,4438,4970,6825,7539,6104,4585,5068,6832,7203,5663,4802,4830,6405,6489,5334,4403,5348,7042,7175,5474,4655,4928,6125,6566,5572,4543,5096,6727,6608,5229,4501,5474,7028,6930,5467,4431,5292,6713,7273,5579,4676,4921,6734,6405,5838,4851,5187,6454,6629,4949,4459,5292,7028,7168,5572,4291,5026,7203,7182,5411,4536,5089,6748,6664,5579,4697,5509,6804,6776,5040,4249,5362,6580,6587,4970,4137,4522,6069,6139,4851,4354,4984,6153,5901,4872,4431,5362,6797,6685,6181,6041,8239,10024,10731,9331,9415,9737,12089,11557,8862,6937,7301,6629,6384,4676,4431,4508,5635,5047,4186,4697,6881,8708,8617,7175,7721,9772,11816,11508,15981,9576,11095,12026,10409,9121,9688,11718,12089,10486,8995,9149,11599,12124,10542,9205,9982,12327,11886,10353,8295,8001,9289,9905,7854,7042,7252,9576,10087,8071,7665,8708,10115,9926,8645,7406,8582,10304,10430,9191,8022,7931,9618,10297,8428,7301,8610,10465,9779,8365,8169,8169,10304,10745,8078,7700,8533,10003,10661,8694,7973,8155,10619,11536,9569,8750,9268,11389,11788,10906,9359,10003,11956,12362,10108,8848,8729,10899,10787,8540,7987,8974,10871,11004,9569,7693,9100,10185,10353,8778,7686,9149,10808,10507,8855,7847,7546,9737,10024,8449,7693,8757,9975,9394,7966,7196,7763,9604,9702,8274,7294,8477,9702,10206,8582,7112,8232,9611,11452,12950,13741,12075,8883,13293,16247,11753,12446,10353,9065,9758,11165,10990,8491,7756,9009,10654,10717,9569,7917,9051,13377,11053,7924,9457,9478,11886,12719,10458,9023,10276,11620,13706,8897,8589,9233,11410,12362,9814,8687,9093,10857,12201,9961,8372,9191,11291,11830,9212,7602,8169,10283,10976,9219,8722,9275,11403,12614,10745,9009,9863,11655,12929,11452,9387,10500,12418,13671,11536,10080,11186,13118,13790,12453,11403,11340,13104,13902,12719,10703,11403,13881,15092,14035,13909,9849,13580,14637,13314,10857,10346,10738,11900,10815,8904,9023,10871,11865,10080,7861,7728,9177,9184,6363,3584,1925,952,581,273,196,168,91,56,35,42,35,0,2,28,3,35,1,3,0,0,2,0,3,2,1,1,2,0,1,1,2,2,0,1,2,0,0,0,2,1,1,0,0,2,2,1,3,3,3,0,3,2,3,1,3,0,1]
[3,2,1,2,1,0,3,2,3,0,2,2,1,42,0,0,2,28,0,0,63,42,70,63,105,63,189,161,126,182,189,259,315,364,350,546,490,798,854,1323,1540,2366,3388,4501,6685,7630,7021,5852,6412,7917,7525,6874,6335,6300,7161,8036,6545,5880,5943,7469,8092,6909,6069,6006,7245,7504,6797,5649,5943,6937,7308,6552,5208,5761,7182,6587,6391,6055,5929,7140,7770,6769,5712,6055,8001,7679,6286,5803,6118,7203,7630,6412,5922,6195,7637,7707,6622,6167,6202,8183,8176,6818,6062,7021,7707,8057,7147,6202,6111,7756,7056,6384,5761,6650,7483,7329,6531,5922,6566,8043,6839,5908,5642,6384,6720,10157,5229,5782,7126,6454,6272,5579,6265,7441,6986,5488,4935,6244,7147,6965,5698,5152,5705,7154,6720,5782,4823,5446,6629,6475,5502,5292,5971,7140,6433,5292,4942,5614,6860,5775,5460,4599,6209,6804,6258,5509,5047,5719,6370,6251,4543,4732,5236,6132,5502,4543,4277,5054,5936,4977,4522,4186,5362,5670,5131,4151,3941,5180,5698,4620,4039,3976,5103,5712,4830,3808,4494,4949,5796,4984,4109,4221,5145,5635,4830,4186,4179,5698,5915,4788,4802,4557,5320,6195,4774,4179,4270,5992,5558,5124,4452,4718,5852,6048,4928,4109,4508,5355,5187,4655,5439,4676,5600,5593,4739,4095,4375,5418,5187,4795,4508,4438,5957,5215,4711,4312,4704,5222,5131,7924,4571,5460,5908,4788,4424,4284,5705,5229,4977,4655,4746,5887,6055,4788,4165,4361,5677,5138,4487,4081,4480,5439,5313,4711,4123,4599,5278,4949,4207,3626,4116,5313,5376,4382,3521,4781,5803,6132,5901,6181,7091,9786,10220,9513,7861,8414,10836,10591,8190,7539,7049,7490,7112,6783,5404,6748,7266,7756,6678,6335,7231,8925,8330,8260,7182,7826,9401,9569,8253,7854,7560,9051,9002,7329,7805,8281,10108,9576,8582,7896,8337,10031,10150,8876,8176,8610,10696,10367,9051,8169,8799,11011,10080,9128,7476,8855,10122,9310,8610,7427,8393,9996,9625,8722,7476,9121,11123,10241,8953,7770,9079,11186,10871,9086,8470,9702,11326,10255,9548,8358,8295,10983,10892,15491,8687,10164,10850,9639,8589,8589,10815,10899,9429,8113,8519,10129,10178,9604,8603,8911,10654,14399,9639,8421,9030,10059,9695,8428,7973,8778,9940,10003,9149,7868,8960,10451,10654,8848,7567,8085,9198,9275,8575,7476,8120,9940,9198,8015,7504,8001,9730,9205,8204,7483,7980,9821,9310,7805,7182,8239,9996,9128,8442,7210,8113,9807,9121,8043,7658,8701,10206,10164,8932,8456,9072,10997,10738,8883,8218,9037,9912,9492,8582,8120,8778,10472,9632,8743,7819,8820,9954,9800,9114,7637,9548,11445,10507,9226,8575,9359,10444,9205,8036,7602,8512,10444,10276,9016,7623,8680,10003,9681,8645,7896,8099,10297,9653,8638,8225,8820,10360,10381,9135,8659,9156,11361,10633,15064,8792,11088,10850,10598,9051,8631,11270,10668,10108,9170,9156,10689,11480,9674,9982,10143,12390,14672,12257,10941,10962,13216,14378,12257,11270,10640,12992,13090,11900,9996,8715,9870,11284,8953,8071,7637,9681,10241,9485,7637,7294,7721,7777,5873,3500,1757,896,497,238,161,133,70,28,35,3,28,28,1,1,1,3,1,1,0,1,0,3,1,1,1,0,1,3,0,1,3,0,2,2,3,2,0,2,2,3,1,1,1,3,0,1,2,3,2,2,1,1,2,0,1,3,2]
[2,2,0,0,0,1,2,2,1,2,2,0,0,1,3,28,1,2,35,0,28,70,35,56,77,77,133,175,140,196,133,168,308,336,287,385,679,686,987,994,1477,1918,2779,4795,6615,7322,7721,6167,5628,7266,8659,7322,6013,6160,6461,7924,7721,6230,5271,6377,7672,7532,6265,6286,6874,7903,6979,6300,5369,7189,8246,7616,5726,5572,6783,8127,7868,6083,5495,6727,7203,6895,5992,6160,7000,8274,7049,5943,6111,7630,8463,7819,5740,6293,7861,7840,7700,6671,6286,7546,8414,7091,6195,6125,7567,8218,7063,5936,5943,7497,8813,7231,6027,11004,7826,6951,5803,5719,6902,7224,6678,6356,5481,7028,7987,7063,6272,5810,6811,7469,6496,5719,5712,6888,7077,6510,5509,5327,6573,7315,6790,5180,5341,6804,7189,6503,5677,5264,6993,7077,6279,6069,5936,7266,7161,6209,5579,5579,7133,7161,6678,5264,5614,7084,6650,6174,4998,5712,6475,6741,5194,4739,4935,6132,6244,5383,4508,5348,6720,6027,5082,4354,5075,5782,5852,5089,3934,4851,6076,5236,4774,3710,4676,5887,5278,4620,4263,4921,5964,5432,4389,4060,4578,5418,5334,4648,4263,5012,5922,5684,4487,4487,4998,5894,5817,4746,4207,4963,5873,4914,4515,3913,4746,5761,5432,4158,3990,4459,5705,5369,3920,3829,4893,5782,5040,4123,4319,9240,5257,4795,4060,4424,5684,5628,4795,4123,4613,5789,5922,4949,4305,5257,5733,5663,5082,4382,5082,6629,5677,5166,4116,5075,6650,6230,4781,3913,4893,5509,6685,4459,4088,4921,5845,5075,4669,3626,5390,5369,4795,3941,4263,4872,5887,4928,3927,4347,5292,5488,5040,4606,4466,5936,6573,5348,4844,4781,6293,5488,4984,3892,4438,5593,5488,4865,3864,3927,4578,4872,4543,4053,4053,4634,4991,4494,3808,4067,4900,4788,4130,3521,3682,5243,4172,4368,3668,4452,4662,4872,4389,3878,4102,5166,5551,4480,3990,4522,5894,5845,5250,4627,5243,7056,6937,6237,5047,5397,6545,6657,5957,5187,5565,6811,6643,6020,5103,5054,6818,6566,5740,5278,5838,12054,6097,5299,5537,6734,7322,6692,5747,5523,6825,7322,6608,5831,5628,7056,8456,6559,5978,5831,7280,7588,7091,6349,5747,7322,7777,7161,6552,6489,7609,7812,7889,6034,5866,7231,7175,6349,5726,5831,7329,8449,7518,6468,6825,8344,9534,8057,7189,6783,9296,8484,8225,6748,7056,8876,9618,8890,7462,7154,9611,10661,9184,8750,8134,10388,11746,10591,9233,8631,10535,11704,9478,8589,8876,10346,10752,10143,8484,8869,9989,12061,10780,10220,8743,10906,11221,11158,9261,9170,10808,11564,10808,9604,9184,10437,11837,10563,8428,8050,9387,9646,9310,8204,8001,10185,11739,10899,9583,9044,10360,11914,10654,9611,9149,11053,11613,10822,9898,8526,10388,11851,11151,9380,8281,16968,11060,8967,8260,9744,11550,11802,10227,8344,10367,11816,11046,10087,9268,9702,12131,11508,10619,9975,11536,14980,14175,13230,12467,13643,16506,15463,13538,12789,12460,14980,14819,12537,11340,12145,13279,13566,13069,11438,11781,14049,13475,11704,10059,8995,10934,10374,9590,8050,7623,9653,9632,8099,6601,6230,7294,6797,4963,2716,1302,637,336,266,196,105,91,84,42,35,3,0,1,0,2,0,3,3,0,0,2,1,2,0,2,1,1,3,2,2,1,1,1,3,1,1,3,3,0,1,2,0,2,1,3,1,3,0,2,3,0,2,2,3,3,3]
[3,3,0,0,3,1,0,2,0,0,3,28,3,2,2,3,42,35,28,28,2,63,63,77,77,126,98,77,154,161,189,210,280,266,336,434,574,623,861,1127,1512,2009,3017,4074,5320,7693,7924,6846,5964,6923,8295,7994,6895,6083,6104,7826,7441,6482,5943,7000,8211,8064,6237,6013,6538,7812,7896,6671,6223,7133,8582,7581,6132,6090,6804,8421,7462,5985,5677,6993,8505,7133,10185,6909,8078,7812,6391,5985,7007,8267,7917,6321,6300,6734,8183,8120,6475,6160,6944,8568,7882,6636,5838,6993,8120,8015,6587,6097,6678,7959,7840,6244,5936,7077,8113,7665,6293,5544,7189,7868,7819,6237,5320,6321,7630,6860,5411,5845,6643,7231,6440,5418,5502,6489,7532,6454,5124,5782,6769,7679,6440,5565,5285,6755,6972,5964,5530,5782,6706,6692,6020,5173,5019,6727,7133,6293,4963,5320,7098,7063,5999,4921,4676,6650,6517,5383,4795,4459,6139,6181,5376,4746,4410,6076,6132,4991,4284,5327,5901,6440,5075,4004,4543,5621,6335,4872,4347,4914,5390,5334,4494,4333,4536,5558,5649,4599,4193,4809,5362,6027,5033,4081,5474,5789,5957,5110,7637,5551,5698,5229,4186,4844,5915,6167,5124,4417,4704,5831,5747,5145,3983,4417,5880,5516,5054,4382,4690,5789,5607,4683,4319,4690,5712,6293,5306,4305,4711,5691,6377,5222,4424,5005,6181,6027,5005,4599,4914,6118,6160,5222,4235,5201,5971,6384,5222,4592,5320,6272,5404,4977,4305,4760,5663,6111,4921,4417,5215,6447,6097,4571,4011,4249,6167,5411,4851,4354,4410,5390,5285,4767,3899,4746,6307,5376,4396,4102,4886,5250,5642,4116,3969,4326,5663,4900,4382,4193,4291,5404,4641,3612,2989,4165,4585,4151,3290,3066,3248,3619,3738,3017,2744,3535,3997,3759,2954,2982,3346,3822,3689,3066,2947,3514,4200,3829,3115,2849,3542,4739,4277,3066,2695,6727,3955,3297,2940,3276,4228,4368,3185,3143,3388,4403,4466,3794,2996,3556,4081,4431,3185,3171,4179,4732,4634,3997,3213,3514,5229,5026,3899,3220,4179,5264,5642,3864,3248,3990,4739,4711,4312,3598,3997,4858,5040,4298,3395,3934,4809,5026,3766,3318,4165,5516,5033,4095,3479,4011,5250,5068,4067,3703,4151,5579,5320,4088,3542,4333,5068,4984,4543,3465,3801,4711,4697,4011,3542,4025,4921,4746,3990,3584,4081,5103,4816,3801,3381,4438,5474,5397,4564,4102,4389,5264,5915,4438,3934,4669,5537,5299,4557,3696,4795,5362,5824,4186,4130,4991,5460,5362,4522,4312,4704,6090,5544,4648,4116,5404,5964,6531,4851,4466,4928,6132,5985,5292,4403,10612,7294,6566,5817,6153,8190,8729,8253,7616,8239,10535,10787,9884,8540,8743,10500,10815,10010,8029,8274,10857,10521,10143,8729,8281,10724,11417,10003,9170,8645,10234,10626,9107,7896,8337,10598,11025,10003,9345,9009,11284,11326,10045,9142,8596,10885,11844,10465,9919,10290,12663,13349,13132,11144,11886,13916,15694,14588,12124,12152,14203,15281,14063,13139,11921,14098,15540,12985,12600,10885,12768,13678,11816,9842,9114,10017,10122,9422,8029,6902,7840,9506,7903,6363,5803,6825,6797,5418,3535,1645,665,357,224,112,168,91,49,63,35,3,3,3,3,0,1,2,1,0,3,1,1,2,2,1,0,3,2,2,3,3,3,2,2,0,2,0,2,0,1,1,2,1,2,2,2,1,0,3,2,0,3,1,3,2,2]
[0,0,1,1,2,3,1,3,3,3,0,1,1,3,1,1,1,1,0,49,1,77,56,91,49,91,84,126,294,238,196,210,196,364,490,546,525,658,980,1176,1918,2534,4592,7014,9114,11221,11228,8708,8645,10906,11816,11473,8645,8771,10787,11242,10948,8204,8946,11564,11977,11298,8617,9282,11732,12397,10871,8211,9590,11333,12432,10640,8876,9345,11459,11914,10514,8428,9828,11732,11907,10682,8442,10059,12299,11179,9730,8218,9765,11326,11977,10395,7980,9338,11774,11466,10157,8141,10605,11536,11697,9744,8309,9968,11137,11270,9884,7819,9660,11053,11438,9548,8036,10395,11998,11172,9639,7903,9933,11921,12285,9240,8351,9975,11886,11634,8918,8141,11053,11375,10283,8400,7714,9541,11004,10374,8232,7882,10031,10724,10563,7847,7665,10675,11298,10213,7784,7721,9618,10402,9254,7168,14420,10766,10031,7784,7728,9429,11053,10374,7854,7357,9415,9933,10633,7448,7147,8848,10241,10192,7868,7217,9793,9926,10143,7525,7140,9142,9268,10178,7000,6804,9366,10017,8813,6629,6769,8372,9807,9205,6986,6727,8981,10381,9331,6748,6370,8736,10136,9436,6699,6853,9772,10108,8106,6538,6867,9065,9758,8743,6496,6706,9303,10115,8232,6503,6944,8659,9863,8372,6440,7203,8981,9548,8666,6342,7476,9751,9611,8918,6230,7504,9450,9583,8106,6251,7154,10059,9730,8302,6552,6965,9408,9667,8183,5964,8015,8883,9996,7924,6160,7581,9975,9688,8197,5635,7448,9632,9674,8015,6209,6706,9506,9849,8428,6118,8218,9464,9002,7581,6153,7217,9408,9240,7406,5502,7070,15435,7763,6048,6153,8498,9121,7749,5502,6440,8071,9205,7483,5852,6083,8547,9016,7819,6216,6636,8603,9597,8470,5789,6237,7497,7756,6223,4494,4998,7833,7567,5593,4095,5159,7168,7840,5670,4074,5201,6671,7448,5362,4074,5131,7056,7525,5159,4228,5341,7133,7364,5537,4158,5215,7406,8162,5201,4249,5299,7133,6888,5859,4109,5236,7154,7553,5264,4256,5509,7749,7903,5838,4333,6167,8015,8533,5957,5054,6188,9128,8484,6657,5005,6111,8204,8841,7336,5656,6601,9030,8750,6776,5145,6510,8470,8673,6986,5628,6412,9296,9093,6594,5299,6286,8820,8498,6825,5243,6328,8344,8505,6734,5376,7098,8624,8820,6209,5481,6468,8519,8260,6587,5635,6923,14875,8001,5915,6167,9492,9338,7504,5348,6384,7812,9408,7896,5285,5712,8946,9912,7175,5761,6762,9100,9667,8022,6146,6685,9730,9583,8043,6069,6923,9702,10332,8113,6286,6937,9891,9744,8855,6475,7175,9345,10472,8715,6489,6986,9674,10388,8841,7000,7609,10290,11704,10248,8162,8344,11417,12586,11494,9555,9681,11886,13209,13860,11116,11375,13552,13748,14672,9814,9898,12418,13174,12271,9548,10059,12495,13482,13181,10836,10507,12642,13881,13286,10171,10206,13454,14196,13132,11214,11039,12831,14035,14154,10549,9905,12852,13986,15372,12460,12614,15015,16485,19502,16590,15540,15778,17409,19670,18459,15722,16163,16884,19075,18858,16282,16926,17234,18340,17990,15281,15057,15862,16772,15736,14161,24381,15568,16037,13055,13328,13300,13559,13090,10129,10864,11774,11046,10059,8722,8372,9737,7385,5628,2835,1050,490,259,196,147,112,42,28,42,35,1,0,28,1,3,1,1,1,0,1,3,3,0,1,1,0,1,3,0,0,2,3,0,3,2,2,3,0,3,3,2,1,3,3,3,2,1,2,1,1,2,1,2,0,3,2]
[3,1,1,1,0,0,0,0,1,3,0,0,0,0,1,3,0,2,63,3,49,35,63,77,42,105,91,140,147,182,259,357,273,301,616,462,581,861,1127,1862,2408,4004,10367,8890,9653,11480,10192,9002,10332,11452,12089,9030,8855,11109,10822,11599,9737,8799,11137,12264,11956,9429,14091,12033,12586,13804,10416,10402,11984,13111,10598,8575,11291,10626,12999,10990,9464,10913,11942,12558,9744,10318,10451,12831,11536,9758,9709,10787,12852,11830,10115,9744,11025,12474,11690,9261,9611,9898,12334,12369,9170,9695,10710,12271,12355,8946,9835,18949,12040,8967,9226,9933,12082,12789,9723,8848,10171,11347,11676,9275,9079,11221,11550,11697,9926,9562,10780,11515,11683,8666,9723,10395,11536,11403,9331,9345,11053,11613,11571,9016,9317,10213,11550,10689,8673,10073,10507,11130,10150,8379,9562,10087,11431,9317,7819,9464,10759,11641,9758,8183,9457,9961,10346,9373,7196,8092,14070,10591,8253,7931,9163,9912,13251,7224,11123,10059,10717,9023,7021,9205,9310,13538,7210,7420,13965,9163,8309,7364,8001,8834,9870,8295,7189,8337,10192,9779,8680,7385,12110,9954,10437,7973,7567,9408,10430,10129,7462,7861,9576,9695,12747,7126,7658,9254,10318,9492,6944,7854,9443,10451,9114,7224,8274,9562,10164,9527,6566,7665,9821,16373,7763,8001,8540,10556,9681,7903,7385,9023,10066,9618,7910,7399,9779,10010,9506,7448,7399,8841,10143,9597,7777,7434,9835,9709,10724,7308,7224,9576,10486,9268,7336,7385,9380,10689,9527,7511,7875,9576,10157,8960,7091,7161,8729,9828,9065,6671,6930,8561,9919,9317,6797,7154,8561,9730,8792,6139,7063,8778,9576,8351,6391,7231,8771,10031,8869,6930,7140,8470,11522,6293,4872,6685,8988,6727,5488,4872,6748,8015,8113,5677,5320,6258,11718,8113,5096,6174,7014,8736,7224,5397,5789,8162,8330,7091,5061,5285,7910,8057,7532,4851,5887,9905,9156,6097,5068,6482,8162,8372,6685,5159,6447,11858,8526,5642,6230,8792,13930,8001,5362,9667,9086,9800,11291,6489,8743,9996,9849,6482,6776,9240,10010,8547,6216,6720,8848,9898,8932,6216,6426,9051,9996,9135,6391,6944,9037,9835,9443,6671,6804,8484,9863,9261,6398,7910,8309,10017,9457,6713,7042,9373,10885,9261,6713,7462,9821,10115,9730,6972,7371,10213,8729,9842,7119,7763,9450,11102,10003,7287,7091,9737,11487,9205,7504,7511,9961,11333,10423,7476,7546,10444,11382,10472,7560,8015,10248,11627,10556,7714,7952,10815,11536,10920,7924,8176,11214,11669,10094,8050,8694,11578,11095,13874,7518,9114,11298,11802,9933,12194,10577,12782,13594,11928,9408,11347,12978,13517,11956,10836,10836,14028,15120,11795,10836,16597,13013,12593,14504,10150,13034,13111,12712,10108,10934,16429,21476,7693,10997,16793,13727,13496,11095,15911,13587,16093,11053,10171,12754,13503,15729,13538,12166,13587,15092,16898,17528,16093,15393,15645,18361,18410,18025,16240,16646,18480,19124,17192,15813,16772,16786,18648,16450,15946,15008,16989,16541,15001,14217,14217,15834,16002,14623,12985,13489,13888,13069,10745,11389,11536,11494,10486,9485,9310,10073,8169,5656,2905,1225,553,259,196,161,70,56,3,2,2,35,3,0,2,3,1,3,3,3,1,2,0,2,1,0,3,2,3,3,1,1,2,0,2,0,3,2,0,2,0,1,1,1,2,2,3,1,0,3,3,2,1,1,1,1,3,2,3,0,2,0,0,1,2]
[1,0,1,1,1,1,2,0,2,2,1,3,3,1,3,1,2,35,3,2,2,35,49,77,84,119,84,140,119,189,224,161,294,406,364,413,609,567,1022,1260,1645,2142,4018,6510,8799,10640,12124,10934,8918,9667,11655,12614,11732,9464,10836,11473,12670,11368,9408,10311,11928,13209,11361,8869,10297,11823,12516,10955,9233,10276,12047,12761,10710,8680,10871,12145,12229,10115,9513,10822,11739,11921,10514,8687,10703,11963,11900,11179,16737,10857,12894,11375,9205,10353,10605,12264,11417,8995,10437,11165,12544,11823,9408,10052,10969,11788,10920,9611,10255,11984,12558,10640,9443,9702,11011,12306,10927,8785,10563,11228,13174,10381,8638,10689,11221,12229,9905,9233,10654,12033,12264,10150,9310,10192,11242,11277,9408,9044,9975,10479,12061,9373,9030,9744,11361,11550,7735,9471,10801,11599,11375,9142,9177,10584,10598,10535,8442,8610,9723,10892,10983,8344,9058,10549,11305,11263,7721,8890,10339,10857,10003,7462,8575,10129,10941,10241,7504,7777,9695,10850,9737,7763,8883,9814,10325,9688,7014,8589,9863,10507,8855,7497,8666,10521,10136,8505,7343,8120,9828,10052,8134,7084,8449,10500,10360,8806,7084,9051,10094,10402,8582,7154,14644,10402,9604,6734,7840,9632,9975,8652,7154,7973,9856,10430,8554,6720,8729,10689,9961,7973,6783,8078,9422,10024,8645,6629,8295,9751,10745,9338,5978,8232,10262,10577,8876,7007,8393,9975,10241,8575,6881,8561,9926,10290,8645,6902,8211,10318,10780,8407,7378,8568,9786,10143,8610,7119,8358,10507,10451,9240,7126,7931,9681,10304,8057,6734,8225,9548,10220,8190,6419,8211,9401,9688,7889,6293,8071,9513,9779,7497,6804,7756,9576,9527,7210,6370,7854,9639,9828,7483,6776,7917,9807,9303,7210,6062,7574,9471,9121,6377,5621,7602,8344,8743,6328,5229,7210,8372,8197,5845,5117,7084,8351,8463,6363,5257,6965,8855,8309,5677,5642,7399,8813,9450,6559,7112,15309,12369,11536,10416,11529,12334,14973,16583,15274,14021,14182,15981,16177,14840,14140,15246,15603,15806,14084,13615,14994,16002,16205,14399,14133,14826,15953,15820,14140,13650,14301,15932,16793,15260,14070,14420,15813,16303,15260,14483,14595,16856,16534,15323,15043,15358,17066,17976,16520,15113,15764,17290,18004,15631,14833,14567,16856,18081,15666,15176,16233,16632,16814,16345,14833,15974,16065,17297,15827,15015,15428,15862,18004,14805,14637,15911,16464,17815,15638,15470,15022,16793,17017,16401,14308,15561,15904,16128,14511,14532,15295,16450,17423,15736,14616,14819,17157,18305,18543,12397,15169,16870,18123,16240,17066,15253,16072,17437,15561,15533,15568,16667,16996,14294,14651,15120,16744,17045,15428,14840,15666,15358,15036,13468,22337,14126,13125,11837,11032,12362,14007,13300,11487,11592,12369,12670,13328,11102,9849,12313,12551,13069,11263,11389,12110,13482,13545,11354,11396,13188,13216,13727,10283,11256,13237,12936,14819,11795,11697,13097,14105,14511,12656,12614,13153,15155,17402,15386,14147,14007,17318,19656,18522,18053,16723,17486,20251,19404,17843,17290,17304,18690,17262,17101,15820,16513,17878,15813,15211,14623,14756,15736,13783,12971,13608,14266,14287,12173,10829,12033,12320,12740,10654,9975,10682,9961,8400,5691,2436,1029,413,238,182,133,70,28,35,3,3,0,2,3,1,1,3,1,3,0,2,2,3,1,2,0,3,2,2,0,0,2,3,3,0,3,2,1,1,3,1,0,3,3,2,2,1,2,1,2,0,2,2,3,3,3]
[3,3,0,3,3,1,0,3,3,3,2,0,2,3,3,28,1,70,1,84,3,56,84,91,77,133,154,154,91,245,189,245,357,336,553,553,833,742,1260,1491,2086,2835,4648,6706,8778,9044,7518,6566,8393,9940,9856,7546,6370,7364,9506,9471,6881,6475,7546,9233,9093,7259,6111,8225,9485,9191,6972,6146,8176,10017,8862,6489,6363,7742,9331,8904,6755,6615,8183,9464,8855,7161,6594,7847,9716,8743,6566,6503,8036,9149,8134,6328,6664,8232,9849,8414,5894,6503,8561,9744,7812,6531,6734,8316,9170,8274,6188,6797,8435,9429,7553,5852,6818,7560,8897,7021,5642,6671,7882,8603,7077,5971,6699,7987,9023,6643,5845,6979,8309,8540,6979,6083,7364,8463,8589,7469,5901,6958,8757,8337,7315,10612,8701,8645,7497,5908,6720,8379,8932,6594,5733,6727,8407,8778,6230,5712,6314,8337,8708,6363,5600,7511,8365,8456,6174,5096,6622,8449,8148,5978,5411,6468,8771,7399,6097,4669,6139,7385,7672,5537,4718,5992,7672,6622,5082,5117,5859,8022,7315,5082,4431,5656,7574,7224,5348,4977,6090,7763,7266,5194,4459,6118,7644,6860,5257,4704,5964,7490,7140,5292,4816,6076,7945,6755,4704,5292,6671,7805,7098,4879,4550,6188,7728,6811,4907,4886,6335,7266,6965,4823,4956,5992,7126,6671,5292,4788,6139,7728,6804,4921,4690,6286,7784,5992,5068,4942,6510,7637,6629,4879,5208,6335,7994,6748,4977,4725,6286,7217,6391,4669,5019,6083,7735,8547,4697,9681,7357,6076,4683,4788,6048,7476,6027,4284,4788,6363,7266,6293,4410,4543,6398,7854,5852,4424,4620,6510,7294,6377,4641,5187,6727,7266,5439,4179,5110,6230,7819,5439,4620,4557,5824,6573,5677,4851,4494,6188,7168,5383,3731,4298,5495,6384,5306,3983,3857,5278,5789,4564,3150,3885,5271,6062,4739,3927,4347,5558,5859,4760,3605,4158,5572,6524,4704,4816,6678,9079,10563,9954,7868,9394,11375,12929,11102,9331,9926,10542,11634,11319,8918,9513,11305,12600,10661,8694,9492,11186,12152,10262,8967,8757,10689,12859,10360,8449,8876,10689,11865,10136,8316,8897,11158,12082,10283,8848,9464,11249,12453,11396,9247,10472,11431,12901,10577,8925,9051,11417,12537,11459,9100,10535,21140,12390,9275,9492,10759,12502,11690,9779,10465,11109,13174,11879,10206,9821,11921,14035,13860,11193,10794,12551,14441,12880,10822,10591,12250,14007,12810,10381,11053,12446,14182,14749,11718,11984,12180,15190,15085,12558,11956,13496,16128,14595,12754,11844,13622,14987,14189,12866,11319,12915,15092,13958,11487,10500,13594,15134,13888,10948,11676,12418,14749,14161,10654,11060,11501,13853,12950,10381,8883,10465,10822,10563,7917,8071,9877,11515,9961,8141,7868,9002,11137,9751,7504,7658,10206,11144,9765,7868,8400,10157,11858,11011,7679,8141,9513,12537,10836,9310,8869,10143,12131,11305,9471,9016,11200,12719,12418,10570,10500,12684,15449,15484,13188,13132,15491,17220,16877,15001,13125,14749,17444,16870,13041,12796,24444,16233,13657,12250,11886,14735,15463,13027,11403,11347,13986,14497,13188,10360,10409,11585,12537,11193,8120,9184,10577,11354,9821,7049,7749,9114,9205,6251,3220,1792,840,315,224,161,133,84,98,0,28,2,28,2,2,0,3,1,1,3,1,3,3,3,1,1,1,3,0,2,3,3,3,3,0,2,0,0,2,1,3,1,3,1,3,3,1,3,1,2,1,0,0,0,0,2,0,0]
[2,3,2,3,0,3,0,1,2,2,2,3,1,3,1,1,1,1,35,2,28,2,56,35,70,63,98,126,126,84,182,231,196,336,315,427,581,833,994,1344,1631,2079,3227,5593,8022,10878,9674,7882,7385,9226,10731,11368,8799,7238,9527,11683,10311,8330,8274,9471,11011,10717,8519,7413,9702,11683,9716,7651,7315,10108,10808,10094,8211,7280,8981,11592,10304,7777,8162,9702,12061,10136,7945,7700,10381,10794,9646,7126,7903,9541,10409,9947,7700,7560,10283,12012,9128,8043,8652,10241,10787,8967,7441,8428,10696,11879,8953,7000,8344,10122,10374,9450,7280,7308,10017,10934,8778,12243,9345,10864,9667,6874,7644,9702,11130,9226,6664,7945,8722,10409,8687,7217,7609,9408,9954,7553,6510,7343,9779,9674,8162,6517,7280,9429,10514,8351,6370,7791,9681,9702,7665,6755,8246,9926,10010,7455,6146,7462,9548,9051,7273,5873,7476,8659,8645,6853,5439,6524,8064,8232,6440,5677,6545,8064,7819,5446,5159,6804,8981,7658,6545,5152,6503,8204,8554,5824,5257,6482,8932,7413,6559,5628,6643,8120,7847,5775,5306,6930,7581,7742,5789,4802,6391,7924,7714,6188,5467,7035,8610,8365,6489,7063,8659,10955,13419,8470,8491,11081,12054,10570,8232,9520,10836,12411,11368,9590,10563,12908,14329,12712,10311,11249,12733,14245,12292,10325,9905,11711,13895,12222,9345,18823,13293,12971,10024,9576,10787,13776,11928,9240,9226,10983,13293,12124,9618,9380,10969,13839,11557,10143,10122,11928,12985,12054,9121,9023,11893,13349,12159,9352,12110,11956,13069,9982,8547,8722,11319,12257,10661,8834,9261,11291,12327,11214,8939,10206,12817,13818,10731,9177,9947,12229,12985,11564,9359,9926,12439,13489,10066,8785,9989,11788,12397,10703,9611,10178,13188,13699,10269,9716,9674,12460,12999,10941,9247,10367,12173,12992,10997,9443,10731,13209,13944,11858,10073,12187,14168,14182,11382,9604,10640,13146,13713,11655,10248,10360,11816,12201,9632,7028,8603,9702,9233,7399,6755,8533,14259,9975,8547,7938,9485,12054,10269,8778,7987,10493,12103,11312,7770,7945,9849,12327,11487,8575,8134,18298,12789,8785,8288,9597,11263,12054,9835,8876,9541,11907,12026,9541,8267,8687,11599,12397,9737,9205,10339,13559,13475,11235,10164,11410,12775,12607,10850,9709,11151,12684,12719,10038,9359,11669,14098,14700,12439,11886,12705,16730,16296,14616,13601,14819,16065,16786,14532,14168,14539,16198,16562,13580,13055,13363,16149,14798,14287,11599,12635,15400,14336,12852,11564,13181,14966,15302,12488,11662,12278,15610,15442,12369,10031,12551,14714,14959,12376,11312,12411,14945,14644,11802,10675,12341,15176,14049,11123,10052,12047,14574,14308,11459,9016,10171,12999,12166,9114,8757,11242,11914,12600,9912,9191,11004,13090,12831,9744,9233,10570,12964,12726,9478,8834,10591,12761,11774,9954,8722,10136,11669,13125,9947,8519,19180,12768,11102,9268,10220,12474,14042,13279,11718,13335,16541,18613,16135,15134,14742,17010,19096,17150,13517,15421,16548,17640,17451,13762,14882,16401,19166,16765,13370,14427,14784,17857,15778,13153,13132,14273,16380,15029,12250,11494,12992,14070,12187,9485,10465,11151,13671,11928,8932,8771,10199,10542,7133,4445,2170,959,427,224,203,105,98,63,63,35,35,2,1,0,3,2,2,0,1,3,1,0,1,2,2,0,2,1,2,3,1,2,2,2,2,2,2,0,2,1,2,0,3,0,0,3,3,0,3,1,1,2,3,1,1,1,1]
[1,0,1,2,1,3,0,0,3,3,1,2,1,0,28,1,35,0,42,35,42,1,70,98,70,56,56,140,154,175,189,280,329,294,294,385,553,672,1050,1260,1624,2044,2891,3878,5768,7364,7133,5677,5292,6349,7840,7329,6174,5341,6468,7329,6909,5173,5355,6398,7553,7392,5754,5306,6636,8036,6916,5607,5264,6573,7637,6860,5334,5222,6951,7924,7084,5558,5404,6797,7301,6804,5530,5523,6965,7210,6391,9114,6258,6503,6916,5628,5446,6020,7525,6881,5474,5432,6804,7504,6426,5264,5117,6405,7574,6650,5509,5243,6671,7259,6573,5145,5369,7315,7651,6258,5159,5572,6699,7357,6209,5117,5502,6356,7035,6055,4739,5292,6517,6622,5341,4851,5271,6608,6685,5614,4781,5642,6797,6965,5523,4578,5166,6496,6216,5243,4907,5467,6699,6503,5495,4900,5201,6573,6398,4956,4578,5313,6342,5880,5033,4074,5173,5824,5859,4683,4235,4893,6433,5761,4690,3864,4893,5628,5810,4200,3815,4802,6027,5208,4536,3892,4739,5670,5054,4249,4025,4802,5691,5425,4109,3878,4683,6006,5453,4242,3864,5040,5467,5243,4515,3731,4774,5117,4571,3871,4186,5558,5621,5999,5523,11074,9408,8526,7917,6720,8330,10437,9961,8197,8106,9184,10143,11025,8736,7952,9205,11676,11088,9240,8771,9219,11221,11914,10129,9107,11158,13146,13062,10360,8876,9695,11018,11130,8883,8449,8925,10269,9758,7854,7819,9100,10206,10248,8771,7798,9653,10682,10570,8603,7987,8855,10955,9835,7994,7574,9170,10178,9702,7812,7385,9002,10122,9639,7567,7413,8512,9702,8596,7217,7329,8477,9884,9527,7700,7301,8694,10339,9800,8183,7371,9394,10213,9429,7854,7840,8785,10703,9366,8225,7630,8981,10122,9947,8029,7301,9793,11809,10815,8631,8848,9772,11816,10444,9149,9149,10010,12572,10787,9534,9639,10647,13188,11732,10605,8617,11053,12761,11928,9359,8477,9807,12068,10150,9079,14357,10752,10087,8407,7161,7658,8862,8974,8050,6685,7161,8953,10017,7889,7336,7385,9520,8589,7581,6762,8183,9877,8701,7791,6601,7497,9646,8813,7700,6937,7175,9562,8631,7525,6671,7672,9100,8470,7308,6524,7987,8841,9051,7266,6237,7966,9191,9128,7420,6986,8358,9744,9870,8470,7504,8309,10213,9877,8008,7014,8967,9170,8582,7637,7903,9352,10906,10374,9716,8827,9863,11662,11032,9338,8155,9156,10990,10255,8169,8407,9534,10276,10451,8631,8533,10262,12649,12292,10241,9499,10724,12670,11823,11025,10171,11256,13384,13048,10962,10591,11158,14378,13531,11396,9772,11193,13349,13027,10374,10500,10878,13125,12264,9835,9079,10976,13839,12467,9779,8925,10451,11921,10983,8715,6972,13489,7882,7112,5803,6496,9086,8932,7028,5838,6881,8015,8414,7154,5978,6412,8225,8673,7126,6125,6930,9513,8932,7462,6188,6832,7798,8064,6566,5908,6979,8890,9233,7693,7168,7749,9849,9583,8827,8092,9534,12131,12943,11823,10710,12194,14665,16443,13524,12110,12908,15617,15848,14035,12432,12250,14161,16191,13566,10829,11207,12089,13524,11305,9639,9954,11900,12999,10220,9156,8232,9863,9996,8519,6979,6916,8827,9611,8113,6937,5873,7406,7259,5362,3507,1540,777,315,182,154,98,105,91,42,28,3,1,1,28,28,1,1,0,1,2,3,3,0,2,2,2,1,1,3,1,2,2,2,1,1,1,0,0,0,0,0,2,1,0,0,3,0,1,3,3,3,1,0,3,0,1]
[0,0,2,3,0,1,1,3,0,2,2,2,0,2,0,3,28,35,28,3,49,42,77,42,49,84,84,126,203,119,259,196,357,322,413,448,665,777,1057,1316,1897,2492,3353,6034,8981,10311,9961,7749,8064,9513,11039,10010,7840,8330,9982,11375,9618,7574,7889,9919,11893,10493,7189,7637,9534,10731,10045,7476,7161,9947,10878,9884,7903,7238,16555,10157,7273,6783,8960,11095,9100,7483,7623,9275,11151,10549,8274,10696,9471,10647,9149,7147,8456,10087,11123,8442,6720,8449,11312,10591,8407,6951,8288,10850,10528,8547,7119,8876,10122,10227,7707,6727,8764,10185,10066,7483,7238,8876,10983,9653,7553,7217,8862,10451,9324,7532,7651,8414,10577,9303,6930,7021,8596,10045,8736,7007,6965,8519,10857,9121,6510,6118,8547,10318,8869,6692,6153,8106,9695,8008,6517,6020,8785,9331,8456,6125,5943,7644,9135,8008,6020,6335,8589,9373,8057,5572,6335,8617,9275,7357,5978,5376,7798,9240,7280,5768,6510,8085,9016,7609,6517,6629,8778,9016,6629,5103,5936,7847,8498,7175,5138,6475,8449,9212,7259,6006,5873,7420,12593,5929,5712,7112,8687,6853,5327,5348,7728,8120,7672,5663,6104,8106,9772,8372,6643,6811,9569,11095,9618,7336,8057,9905,10577,9863,7735,8260,10479,11578,10164,7826,8162,10297,11613,10906,8449,9142,11151,12012,11746,9380,8806,10185,11151,9408,7371,7357,9604,10416,9226,7378,7770,10017,10731,9793,8134,8428,9947,11522,10073,7763,8057,10213,10899,9401,7896,8519,10717,11690,9821,7903,8918,10038,12166,10045,7924,7987,10024,11459,9618,7987,9107,10731,11858,9555,8169,9828,11844,11865,10500,7903,8715,10864,11942,10794,8610,9835,11109,12138,10059,8071,9317,11284,11795,9940,8442,9555,11991,12292,10927,8848,9366,12250,12628,9128,8372,9163,10955,11907,9737,8512,9702,11781,19971,9037,9527,10913,12138,10248,8428,8862,9821,12117,10290,8358,8141,9996,11466,9821,7763,8008,9709,11487,9513,7217,8400,9835,11158,9828,7770,8085,10374,12712,10059,8897,9457,12005,13475,11172,9597,9835,11613,12684,11214,9226,9240,11172,12509,10465,8673,8778,10542,12152,10738,9156,9681,12096,12544,10437,9716,9254,11501,12978,10997,8428,9884,11774,13384,10913,10010,10906,11991,13692,12047,9702,10556,13797,14728,12831,9877,9576,11865,12607,11417,9583,9954,12138,12733,11396,9653,9737,13020,13958,10948,8239,9625,11431,13188,10941,9660,10486,12565,14889,13146,10465,10843,13279,15099,13314,12026,11459,13524,15645,13279,11200,11711,13272,15036,12250,10549,10871,13356,15085,12320,11690,11116,14105,15218,21756,11599,13265,15708,15575,10703,10542,12082,13804,12915,9163,8701,10101,12586,10906,7658,8575,11179,13097,12040,9758,9492,11221,13062,11361,8596,8631,10836,12635,10815,9275,8428,10766,12866,11333,8603,8379,11060,11389,10318,7798,8274,9898,13139,11032,8085,7784,10227,12817,10654,8897,8547,10927,12824,12271,9597,10822,12810,15267,16121,13482,12789,14553,18585,18816,14952,13636,15358,18200,17969,15358,13069,14413,17255,17178,13118,12551,14007,15988,14861,12355,10430,11172,13370,12495,8862,7959,9646,12341,12348,8484,8057,9555,10178,9002,6006,2597,1106,525,301,133,140,42,1,56,0,63,1,42,1,3,0,3,3,0,2,3,0,0,0,3,1,2,0,0,2,0,0,3,1,1,3,0,1,3,3,3,2,0,3,2,2,2,3,3,3,0,2,2,0,3,1,3]
[1,0,0,2,3,2,1,3,2,3,3,1,1,1,1,1,28,3,28,2,42,49,35,49,63,84,147,161,175,189,189,231,203,343,294,595,805,812,1141,1540,2079,2695,4102,5894,8792,11403,11529,9646,8393,11137,12971,12306,9821,8624,10605,12915,12229,8680,7791,11438,12439,11298,8995,8848,10710,12579,11991,8428,7833,10612,12096,10899,8330,9058,10899,12614,11151,13643,11116,12439,11767,8512,7525,10689,12677,12663,8561,7980,10885,12481,11410,8358,8099,11137,12698,11865,8785,8547,10899,13461,11116,8974,8799,11781,12880,11655,9198,8491,12684,13314,10836,8918,8239,12208,12404,11998,8981,8512,11886,13055,11172,9009,9359,11571,13160,11200,8211,8218,12446,11886,10570,7525,8099,11382,11914,10101,7805,8400,10759,11928,9590,7308,8841,11641,10801,9163,7476,7917,10766,10829,8421,6748,8260,11081,11683,9268,6776,7623,11697,10388,8946,6258,7504,10598,9457,6993,6293,7742,10864,9499,7462,6531,8001,10031,10108,7252,6314,7707,9800,10689,7637,6706,8764,10857,9261,6846,5866,8162,10619,9345,6650,5782,7693,10178,9303,6965,6020,7637,9548,9317,6272,5845,15120,9933,7140,5691,7196,9324,9688,6622,5964,7546,9968,9387,7035,5936,7420,10752,9114,7637,6384,8631,11025,9989,7070,6167,7840,10213,9835,6678,6048,7805,10479,9821,7434,6489,8064,10129,9492,7203,5698,8050,10514,9926,7070,5530,7707,10605,9709,6846,5537,8113,11214,9499,6986,5740,8379,10619,9282,7224,6104,7868,10997,10017,7238,6454,8575,10339,10066,6986,6195,9226,10479,9450,7651,6629,9632,10913,9723,7371,6349,8659,11221,9632,7497,6573,8974,11158,9975,7728,6083,9296,11389,10640,7602,6097,9583,10717,10073,6825,6496,8883,11207,10157,7007,6692,9128,11732,10731,8022,6755,9366,11865,10087,7385,7315,9695,11501,10465,7126,6447,9800,11151,10766,7308,7140,17885,11249,9051,6734,8344,14595,10234,7112,6601,10073,11039,10066,6720,6020,9548,11347,9912,7553,6923,12670,10801,8407,6811,7511,11732,11774,8645,7091,8029,11004,10717,8589,7154,8036,11333,11438,9086,6384,8155,10710,10724,8372,6797,7665,11662,11088,8015,6699,8617,11914,11550,8729,6916,8827,12600,12201,10101,7805,9646,12838,13482,10584,8736,10367,13587,13188,10528,8400,10066,13657,12985,11018,9093,10857,13069,13517,11676,8869,10465,13440,13300,11767,9366,11403,14105,14273,12138,8967,11634,13839,15050,13181,10675,12572,14826,15295,13293,11417,13237,14665,15246,14448,12453,13825,15708,16625,15127,11956,14560,16072,14952,14539,11963,14084,15701,16100,15036,12572,13657,16282,17052,15414,13125,14819,28322,16135,13363,13776,15498,15764,16058,11746,10787,13321,14812,13111,9072,10822,14511,14721,13825,9674,10829,15001,16065,14917,11445,11753,14868,15631,14763,11256,11480,14420,15169,13594,11382,10353,12628,15029,13328,10500,10444,13377,13853,12803,10374,10906,14273,14931,14749,11970,11788,13909,15848,16828,13517,13461,15372,17780,17969,15694,15113,17234,19649,20867,17269,15554,18592,19026,20664,16856,14952,17304,18753,17927,15218,14238,16527,16660,16849,13685,11144,12852,15155,14007,11319,9338,13041,12474,12600,10675,8862,10143,10409,7462,5551,2709,966,336,259,91,133,84,42,2,3,1,3,2,1,0,3,35,2,28,2,1,3,3,1,0,2,3,3,0,0,2,2,1,1,0,0,1,0,2,0,1,0,1,2,3,1,0,1,3,0,1,3,2,2,2,2,1]
[2,3,0,0,2,3,0,1,1,0,1,1,1,0,3,2,2,2,1,3,3,2,49,91,63,84,112,154,203,154,210,273,266,357,378,448,777,875,1141,1344,1715,2583,3423,5586,8904,11025,11186,8757,7497,10794,12915,12551,8953,8316,10556,12705,12117,9737,8449,11998,12068,11396,8750,8750,20153,11585,9128,7987,10066,12782,12537,10269,7777,10654,13041,11389,9289,8162,11165,12558,12117,9191,8148,11123,13643,12719,8764,8435,11116,11893,12537,9198,8428,11025,12397,11011,8743,8022,11795,12887,11669,8043,8491,11522,13048,11963,8162,9247,11942,12747,10227,8526,8526,11291,12439,10129,8029,8883,11018,12740,10549,7595,8295,11977,12488,9996,7532,8799,10696,11620,8995,7252,8064,11158,11431,9107,6958,9170,11907,12649,10507,7189,8953,11550,11438,8659,6930,8365,11081,11382,8435,6839,8239,11627,10794,8197,6265,8316,11242,10885,8106,6902,8057,10612,10591,6951,6048,8323,10367,9912,7028,6587,8624,10535,9961,7504,6272,8883,10332,10304,7588,6272,8722,9590,9940,7182,5572,8960,10241,14042,5824,7140,9751,9982,7504,5901,6636,9674,9058,7294,5733,7511,9408,9226,6979,5887,7728,10339,9898,7469,6167,8176,10591,10556,7147,5901,7931,10731,10150,7560,6034,7658,9912,9205,7203,5782,7952,10507,9044,7203,6132,8176,10451,10073,7070,5796,7721,10108,8855,6671,6195,7735,10136,8953,6741,5663,8995,10976,10087,6307,5908,8554,10381,9485,6083,5754,8106,10234,8463,6888,6034,8568,10220,8841,6167,5964,8750,9968,9233,6377,5817,8141,10227,8568,5789,5509,8295,9982,8393,6062,5502,7980,10171,8498,5621,5530,7889,9674,8547,5481,5495,7833,9646,8099,5705,5110,8246,9317,7945,5628,5439,7805,8876,7784,5600,5236,7917,9982,7546,5495,5572,8253,10458,10815,5124,7140,9135,8267,5824,4431,6671,8806,8435,6377,5334,7056,9387,8694,6069,5285,6461,8533,7875,5957,4718,6167,8281,7112,5019,4501,6552,8106,7903,4669,4158,5698,8547,7280,5166,4319,6286,8358,7357,5425,4634,6804,8099,7560,5005,4151,6818,8995,8204,5509,4200,6643,8372,7623,5341,4921,6916,9128,8211,5530,4900,6909,9485,8155,5383,5047,7455,9163,8057,5425,4928,7175,9541,8078,5187,5341,7882,9401,9212,5572,6048,9737,11823,10752,7721,8085,11396,12712,12313,9800,8323,12068,12922,12845,9457,9408,12852,11837,12096,9618,8211,11865,13174,12040,8974,8610,11690,13559,12397,9989,8624,11011,12481,12327,8687,8435,11648,14042,12341,9107,8904,11319,13258,19124,7910,10724,13251,13643,9758,8001,10318,13489,13923,11375,9709,12537,15127,16044,14364,12894,15050,16947,17668,18375,14567,16744,16744,18004,18368,14133,16037,17003,16548,17199,13958,16282,17983,17906,16338,13167,15351,17402,17836,17017,13223,16100,17675,18690,18711,15078,16086,18851,18676,18739,15589,16646,17773,18235,17486,13636,15211,16940,17619,15834,12852,14742,17458,18774,17885,14847,16471,17801,19075,19936,17059,18130,18956,20608,21539,16604,17367,19341,19075,19201,16331,16009,18375,18249,19152,14553,14994,17542,16653,16968,13461,12754,15862,15281,14266,10906,10577,13804,13300,12152,9562,9240,11697,9779,7105,4683,1729,602,329,161,175,126,63,84,28,42,3,2,35,3,3,0,1,2,3,3,0,2,2,0,1,0,1,2,0,3,3,1,1,3,1,2,1,3,2,1,3,2,0,0,3,1,2,1,3,1,2,3,0,3,2,3]
[1,0,1,1,1,1,1,1,2,2,0,1,3,3,35,2,3,0,3,42,3,56,49,91,77,70,126,126,203,161,266,280,357,413,616,539,791,1043,1449,1764,2849,3381,5103,8169,10129,9611,7511,6538,8939,11382,9191,7952,7154,8855,11144,9443,7539,7119,9485,11424,10010,7847,7329,8974,10549,8862,7462,7105,9310,11200,8869,6748,6804,9009,9625,8638,6881,6720,9520,10059,9030,6937,7189,9072,10122,8029,7427,7406,10066,10682,8141,6783,7049,10262,10409,8743,6916,7665,9716,9506,7945,6447,7399,9996,10430,7665,6279,7770,10052,10115,7182,5978,6741,9891,9443,7000,6020,7245,9499,9128,6923,6475,7441,9772,9660,7007,6160,7672,15771,8176,5999,6755,9191,9471,7266,5908,7028,8302,8491,6993,5782,6783,9163,8813,7000,5698,6545,9597,9541,6895,5663,6615,8764,8519,6902,5369,6804,8099,8127,6419,5502,6125,8323,8561,6006,5138,6587,8274,8344,6552,4998,6622,8029,7315,5789,5271,6335,8344,7490,5439,4781,6265,8211,7532,5698,5194,6797,7679,7693,6384,6517,7896,9583,8512,5838,5341,6888,7441,7049,4851,4193,5698,7091,6748,4907,4802,6202,7399,6580,4977,5068,6573,8358,7161,5047,4914,6657,7665,7035,5348,5222,6517,8344,6944,5453,5040,7175,7931,7378,5439,5236,6601,9177,6930,5229,4914,6657,7819,6517,5397,5047,6090,7532,6657,5243,5250,6608,7399,6594,5131,5285,7455,11515,5278,4907,6496,7070,6972,5110,4816,6041,7728,6706,4802,4774,6090,6993,6860,5061,4445,6580,7315,6993,4984,4606,6055,7714,6461,4641,4452,5621,6762,6622,5005,4501,6090,7651,6839,4879,4375,5894,7847,6335,4487,4627,5964,6503,6552,4795,4676,5509,7189,6335,4942,4536,6006,6608,5887,4578,4375,6041,7231,6433,4697,4361,5964,6706,6048,4816,4501,5971,6825,5341,4501,4515,5726,7203,5873,4417,4284,5922,7707,6503,4298,3836,5418,6489,5943,4452,4102,5040,6370,5341,3913,4242,5663,7147,5908,3990,4242,5523,6818,5768,4172,4060,5824,6951,5950,4179,4473,5964,6874,5516,4193,3752,5670,7175,5621,4039,4305,5894,6888,5544,4347,4508,5509,10297,4760,4298,5208,6594,5845,4382,4081,5789,6076,5607,4137,4599,5320,6783,6657,5915,5922,8512,10640,9513,8841,9331,12376,14819,14182,11221,10199,12824,14973,13398,11193,10682,12495,14784,13531,11396,10416,13419,14777,13832,11130,9807,13020,14952,13468,10955,10311,12243,15239,14028,11060,9982,13139,15204,13867,11389,10199,12320,15589,13867,11438,10430,13272,14385,13545,10969,9996,13146,15190,13790,12859,10745,12838,15351,14980,12285,11347,15351,17087,15981,13531,12474,14637,16653,16261,13013,11459,13853,17024,15001,12061,9898,11858,13489,13034,10031,9702,12915,15561,14371,11249,11186,13286,18116,16660,14133,12586,14770,17430,17010,13790,13160,14406,17451,16030,12978,10941,13888,15449,14994,12124,11067,14315,28371,16135,13041,15092,19845,20755,17248,15596,16366,19705,21336,17955,14581,16597,18403,19978,17465,14077,13769,16877,19110,16030,12691,13181,15302,16611,15750,11956,10325,13244,13811,11956,9520,8631,10899,11550,9982,7896,6874,9653,9128,6531,3990,1785,672,336,224,175,182,63,98,49,70,1,1,3,3,1,3,3,3,1,2,1,0,2,2,2,1,2,3,3,3,1,2,2,3,3,1,1,1,3,2,3,3,2,3,3,2,0,1,1,0,2,0,0,2,3,1,0]
[3,2,1,2,3,2,1,0,3,1,1,0,3,1,1,2,2,0,2,2,42,77,28,63,70,84,105,154,161,112,210,189,301,357,469,546,609,882,1155,1589,2156,3038,3962,6132,8526,9415,7490,6482,7896,9933,9415,7861,6230,7805,9842,10248,7686,6356,7819,9233,10052,7539,6804,7462,9303,10703,7399,6881,7882,10535,8785,7798,6160,7504,9058,9219,6916,11935,9681,10563,7777,6951,8106,9996,9625,7861,6559,8582,10150,9611,7574,6328,8169,9611,10108,7546,6160,8127,9779,10087,7182,6251,8141,10227,9604,7567,6664,8547,10556,10661,7119,6657,8603,10220,8512,7098,6125,8253,10493,8743,6538,6440,8561,9191,8757,5831,7420,8323,10283,8498,6272,7644,8064,10080,8414,6202,6510,8071,8897,7903,6097,6307,8652,9436,8687,6083,6398,8526,9800,8120,6286,6573,8134,8883,7896,5649,6538,7630,8554,7413,5460,6377,7959,8337,7469,5418,6909,8197,9352,6678,5054,6258,7644,8120,6601,5313,6734,8554,8708,6363,5229,6356,8169,8673,6678,4788,6069,7413,8554,6454,5110,6454,8260,7189,6097,4746,6356,7420,7735,5656,5180,10892,7609,5831,5019,5320,6776,8036,6454,5271,6139,7840,8946,6867,5418,6146,7798,8582,6629,5390,6062,7238,8897,6790,5222,6153,7840,8407,6265,4872,6034,7378,8876,6790,4438,6146,7693,8127,6230,5110,6818,6993,8799,6356,5187,5600,8099,7392,6237,4823,6027,7406,8610,6363,4921,6279,7756,7672,5957,5040,6174,7665,8057,6202,4872,5922,8204,8323,6265,5313,6370,8113,8274,5992,4963,6132,8428,8624,6321,5145,5775,7420,8316,6391,4781,6034,8036,7588,5789,4557,6125,8169,7413,5495,4529,5131,7098,7063,5341,4648,5887,7532,7021,5411,4669,5859,7588,6755,5012,4291,5831,7735,7210,5656,4606,5551,7350,7112,5586,4221,5845,6930,6629,5355,4403,5502,12292,5474,4137,4536,6622,6643,5173,4193,4578,6174,6727,4550,3990,5257,6783,6447,4585,3577,4697,6615,6503,4473,4137,4760,6433,6426,5348,3815,5404,6230,6825,5628,4214,5516,6678,7322,5215,4445,5061,7455,7175,5089,4410,5229,7595,7070,5089,4123,5173,6930,6965,5306,4186,5124,6419,7336,5243,4620,5516,7042,6769,5348,4592,5712,7427,8281,6937,6517,9562,11270,12915,11641,10094,11816,13811,14917,12348,11480,12523,14714,15708,12880,11116,11319,13384,14854,13979,11599,12250,14175,17129,13503,10934,12152,13986,14434,12628,9982,11305,13650,14119,12390,9982,11137,13167,14133,11599,9268,10871,12572,13664,12299,11200,11676,13524,14469,12761,9772,11634,15057,14343,12607,10598,12656,25186,14259,11137,12320,14175,15505,14798,11585,12222,14105,16569,14483,11053,11984,14168,15120,13608,10360,9800,11228,12040,11137,9436,9982,11333,13496,11795,9394,10710,13293,15288,14497,11865,11942,13517,16198,15820,12831,12012,13461,15785,14567,11676,10535,12845,13475,13300,9772,13692,14728,15652,14728,12726,13552,16835,19376,16765,14399,14497,15344,19005,17381,15281,14826,16695,19012,17010,12796,12453,14427,16086,15057,12131,12278,13608,15638,12866,10668,11312,10605,13216,10773,8183,8911,11123,13027,8806,7462,7553,9184,9849,6818,4207,1498,700,385,238,140,42,63,63,28,42,28,3,1,2,2,2,3,0,0,2,1,3,1,3,2,2,1,2,3,0,0,3,3,2,0,3,1,3,1,3,2,2,0,3,2,3,1,2,0,0,1,3,3,0,2,2,3]
[2,0,1,2,2,2,0,0,0,2,3,28,1,3,0,28,0,2,28,49,28,63,63,63,84,98,77,154,140,161,238,245,371,392,490,420,658,889,1085,1435,2009,2443,3570,5628,9695,11179,9716,7777,6769,9506,11550,9492,7182,7287,9296,10416,9303,6944,6895,9492,11123,9303,7357,7931,9996,11648,9646,7651,7245,10059,11823,9506,6951,7952,11284,11697,9485,7308,7105,9898,11459,9065,6986,7973,10402,17472,7294,7546,9471,11067,9786,7084,6720,9989,10003,8484,6902,7133,9163,10108,7945,6426,7658,9863,10493,8764,7098,7819,9653,10920,8960,7147,7882,11144,10745,7917,6307,7147,9751,10164,8043,6979,7140,10255,10598,8680,6790,7532,10199,10122,10073,7224,9065,12208,9604,7000,6972,8806,10038,9303,6636,6412,9380,10948,9436,8498,7413,9247,9842,8540,6265,6979,9100,10024,7945,6636,6902,9597,10906,7938,6062,6503,9317,9933,7658,6181,7070,8687,9380,7105,5887,6545,9478,9758,6370,5432,6937,9352,9009,6748,5467,6671,9436,9471,6706,5075,6958,8246,8302,5908,5460,6587,9387,8155,6013,5082,6937,8421,8652,6181,5187,6748,8575,8267,6139,4942,6832,8813,12278,5264,5908,8113,8421,6881,5145,6139,8323,9247,6160,5432,6139,9128,9541,7350,5824,6860,8491,8645,6636,5425,6426,8806,8295,5873,5306,6230,9093,9723,6622,5362,5936,8365,8778,6167,5474,6181,8064,7854,6272,4893,6482,8302,8225,5845,5313,6293,8708,8589,6279,4837,6104,8036,7882,6279,5096,6097,8519,7770,6188,4991,6755,8372,8526,5803,5145,6321,8680,8470,6139,5159,6538,7966,8106,5929,4963,6559,8736,7525,5453,4732,6678,8358,7805,5691,5215,6342,8204,7273,5425,4648,6475,8414,7182,5271,4718,6167,8015,7091,4977,4746,5859,8043,7721,5327,4893,5978,7833,7224,5131,4830,5901,7945,6951,4816,5110,6300,8204,7245,5229,4585,6139,10731,9681,4557,6097,7434,6818,4641,4291,6048,7077,5516,4340,4270,5719,7119,5761,4249,4438,5411,6909,6321,4473,4235,5964,7343,6104,4438,4620,6188,7224,6979,4725,4382,6244,8246,6860,5138,5047,5824,7910,7105,5292,6181,8022,10696,9996,9058,9793,13440,15274,15127,12201,12222,14483,16891,16296,12628,12761,15932,16912,16303,13706,11452,15302,17619,16373,13797,12159,15498,17724,16954,12663,11410,15848,17521,16408,12677,12096,14336,18340,16121,13223,12005,14938,17031,16065,12950,11186,14700,16128,14056,10626,9219,11739,13489,11830,8610,7539,9380,11382,10738,8659,9149,12957,16429,14357,11354,11011,14623,16352,14833,11242,10787,13979,16842,15414,11375,10892,13083,14602,13370,10990,10367,13804,16401,13790,17738,12124,15799,15309,12635,9338,11032,13076,12355,10836,6762,8120,9758,8764,6748,6398,8134,11501,11284,8512,8855,11879,15743,15946,13664,11949,13055,16310,16471,13377,11753,13594,17731,16576,13146,9912,10493,14140,14021,10668,9632,11683,16058,16359,13685,11893,13930,18613,19432,18151,12866,15813,18949,19593,17619,14399,16464,19271,19481,17255,14063,13881,17143,16632,14007,12159,12992,15890,16492,13223,10227,10969,14175,14609,11158,8582,8211,11543,12159,9856,7588,7098,9681,9065,6202,3332,1169,532,252,168,105,84,49,56,2,2,28,3,2,1,35,2,2,3,1,2,3,1,0,2,0,0,1,3,1,1,0,0,2,1,3,2,0,2,0,3,3,1,0,1,1,3,2,0,3,1,3,0,0,0,3,3,0]
[0,2,0,0,0,3,3,3,3,2,1,0,2,3,0,35,0,1,0,1,35,84,56,63,63,63,112,133,154,147,210,315,266,392,455,504,714,952,1260,1603,2240,2926,3283,4809,6188,6699,6055,5222,5082,7028,7210,6223,4998,6118,7070,7413,6104,5271,5978,6804,7238,5845,4627,6020,6650,6909,5250,5054,5845,6853,6468,5523,5201,6244,7203,7000,5845,5404,6097,7385,6958,5593,5201,6706,7889,7560,6657,4389,6300,8127,6608,5355,4998,6482,7427,6916,5138,4998,6069,7000,6111,5572,5369,6160,6678,6860,5474,5635,6454,7308,6713,5691,5229,6258,7357,10689,5159,5642,7364,7196,5418,5208,5971,6720,6475,5040,5054,5999,6622,6566,5369,4725,5698,7931,5257,5131,4557,5565,6209,5943,4746,4781,5943,6979,5768,4809,4676,5936,6573,6237,4956,4879,5698,6244,5740,4795,4837,5607,6412,5467,4018,4403,5642,6167,5117,4410,4438,5551,6041,5628,4641,4578,5579,6244,5278,4179,4921,5558,5733,4942,4263,4543,5439,5698,5061,4711,4970,7259,5572,4781,3675,4389,5341,5425,4487,3976,4872,5096,5698,4613,4326,4984,5621,5523,4627,4641,5292,6174,5264,4417,4165,5012,5845,5250,4676,4193,5292,5530,5292,4403,4221,5523,6216,5383,4627,4326,5082,5824,5432,4473,4501,5334,6055,5964,4746,4263,5376,6377,5838,7511,4949,5887,6006,4592,4340,5026,6293,5593,4550,4172,4949,6139,5537,4424,3822,4851,5796,5460,4627,4193,4879,5642,5719,4655,4242,4893,5838,5341,4473,3927,4466,5929,5537,3976,3976,4361,5726,5257,4347,3850,4816,5481,5397,4410,3850,4767,5082,5040,4053,3927,4620,5509,4704,4130,3815,4431,5278,4830,4046,3521,4375,5292,4648,4025,3920,4480,5054,4424,3850,3696,4459,5446,4452,3850,3598,4564,5278,4613,3668,3948,4879,5075,5047,4123,3696,4977,5180,5040,4025,3843,4837,5929,4690,3962,3598,5068,5054,4487,3766,3773,4123,6615,4137,3416,3913,4956,4760,3472,3178,3808,4368,4634,3920,3437,3857,4585,4711,4151,3353,3794,4809,4991,3633,6048,4375,5061,4634,3528,4081,5040,5397,5257,4053,4270,6125,6965,6111,5299,5537,7203,8659,8141,6664,7021,7679,10017,9660,7665,7427,9023,10549,10325,8386,7742,9121,11004,10311,8792,7903,9156,10724,10276,8246,8092,9534,11508,10514,8736,8225,9905,10934,9961,8603,8141,9723,11508,10115,8379,7749,9646,11214,9695,7784,6902,7371,8351,7133,5544,5628,7287,7658,7483,6272,7154,9380,10738,10115,7938,8225,8897,11004,9338,7875,8316,9268,11109,9947,7609,7000,8155,8554,8176,6391,5481,6356,7721,7546,4557,6097,7637,8715,7924,7056,5733,7476,8449,7462,6384,5845,7546,7966,7938,6146,6335,8036,9058,8400,7007,7252,9086,11291,10500,8029,7896,9835,11991,11543,14252,9030,10227,11354,8442,7014,7238,8246,8309,6573,6566,7952,9646,10017,9058,8169,10563,13216,13307,10486,10458,11235,14203,14707,12229,10465,11109,14161,14427,11312,9989,9709,11886,12621,10388,8582,8890,11389,12355,10563,7896,8204,9338,9345,8386,5754,6104,7448,8120,7217,5285,5362,6818,6496,5019,2534,1106,420,343,224,154,35,1,1,42,1,0,28,0,3,0,0,28,1,2,1,1,0,2,2,3,2,2,1,2,3,3,3,3,2,2,1,2,2,0,1,3,3,3,3,1,1,0,3,3,3,2,3,2,2,0,1,1]
[3,2,2,3,2,2,2,0,2,0,2,1,3,3,0,1,1,2,35,1,0,63,70,56,35,77,42,119,98,147,168,252,245,308,497,504,707,847,1232,1519,1855,2674,7497,7854,10955,10885,8036,7231,9135,11767,10514,7945,7756,8890,10773,9961,7567,6727,8960,11487,10276,8169,7399,9625,11991,10633,8085,7476,9275,11851,10402,7637,8043,10003,11963,9779,7798,7525,10171,11767,10192,7847,7028,10703,12089,10542,7070,7721,10633,11256,9730,7042,7077,10339,11221,9107,6580,8295,10423,11067,9079,6860,7392,10304,11123,9506,6671,8512,10696,10465,9338,7028,8071,10647,10668,8113,6356,7756,10416,10549,8190,6286,8162,9933,10437,7651,6629,7630,9695,9639,7693,7042,7441,9933,9793,7063,6377,7896,10199,10360,7693,6048,7231,10010,8435,6790,6153,7707,9478,8771,7000,5978,7602,9821,9261,6846,5733,7434,9576,9716,7448,6216,7406,9352,9170,6272,6167,14861,9107,6937,5817,6734,9184,10101,7161,5838,6874,8750,9338,6902,5782,6986,8743,8764,7021,5663,7098,9282,9058,6573,5509,6895,9002,8694,6356,4746,6594,8540,8855,6167,5299,6650,8610,8407,6580,5369,6650,8617,7931,5698,5775,6958,9401,8722,6643,5453,7637,8813,11060,5488,5859,8295,9023,7854,5544,6356,8484,9800,8379,5866,5803,8057,9562,8421,6293,5943,9303,9100,7777,5810,6307,8757,10507,8057,6034,6384,8610,10626,8463,5971,6433,9632,9751,7581,5915,6104,8659,9422,7301,5572,5747,7749,9114,7595,5334,5670,8239,8820,7476,5355,6265,8274,9373,7245,5348,6090,8176,9191,6573,5530,5992,8386,8694,6720,5222,6006,8134,8323,6629,4949,5740,13104,6909,5523,4487,6790,7763,7294,5075,5194,7770,8162,6412,4935,4746,7182,8099,6839,4641,4760,6370,7049,5768,4865,5131,7063,7833,6307,4543,5089,7308,7854,6174,4760,5145,6811,8624,6363,4879,5341,6713,7560,6020,4578,4704,7189,7798,6503,4431,5495,6867,8435,6482,4403,5096,6517,7679,6139,4410,5516,6853,7455,5502,4466,5082,7322,7938,6111,4375,4956,6902,7413,5929,4200,4865,6720,7266,5243,4466,4788,7168,7973,5488,4592,5306,6713,7364,5614,4144,5250,7462,7791,5929,5215,5852,7833,8687,6321,6398,8519,11585,12418,9835,8659,10066,15379,14350,12194,9324,9982,13881,14602,11445,8652,9401,12866,13776,11186,9030,9275,12264,13195,10780,8400,9352,22043,12236,9023,8995,12453,13958,12600,8953,8232,10164,12369,11585,8498,8015,11536,13916,12495,10192,10241,14721,16156,15960,12362,10507,11585,24318,14896,10913,12586,15869,15764,13335,10402,10199,12551,12971,10836,6748,6881,9121,10115,6447,5838,6454,8841,9793,7665,6615,7497,10269,10710,8792,6930,8001,11634,13090,10493,8232,9219,12523,13447,11067,8722,8883,11620,12397,9681,7609,8379,11046,11921,9702,7735,8953,11249,12768,10150,8925,7952,11522,12313,10717,8967,10591,14896,16478,15057,11977,14203,18851,20580,18529,14392,14882,18949,21007,19656,16807,14945,18998,19586,17948,14329,12747,17766,17829,17276,12691,12271,16184,18340,16744,12649,10423,12355,12852,12180,8890,7924,10682,11907,10465,7987,6629,14973,7448,4585,2450,896,336,266,147,91,77,70,28,0,2,1,3,3,1,0,3,0,28,0,2,0,1,1,3,0,0,0,2,1,3,0,1,2,3,3,1,3,0,2,1,1,3,1,0,0,1,1,3,0,2,3,1,3,1,2,2,3]
[1,3,2,3,2,2,1,2,0,2,2,3,2,2,2,3,0,0,0,3,1,35,63,28,70,56,84,119,161,175,203,252,567,385,511,623,749,952,1442,2093,2338,3367,5544,7868,10710,10290,8407,7028,9016,12082,10997,8106,7644,9219,10773,11081,8470,7651,9485,12327,10556,7868,7147,10269,11753,9807,7581,7077,9779,11620,10171,7385,8022,10745,11424,9562,7595,7476,9576,11291,9177,7357,8106,11067,11487,9961,7567,7630,11809,11956,9429,7679,7749,10815,11515,9429,7483,7889,10668,10857,8666,6713,7826,11284,11550,8729,6930,8421,11662,11438,8806,7210,8449,11179,11312,7931,7112,7609,11270,10248,8281,6601,8568,10829,11193,8239,7301,8141,9618,10521,8162,6286,8085,10150,10234,7826,6454,7707,10178,9429,7049,6391,7833,9779,9303,6748,6020,8078,10577,8883,6818,6573,8680,10521,9863,7518,6433,16002,10871,7959,6629,7448,9268,10192,7630,6335,8372,10262,10255,7385,6559,7126,10269,10066,7280,5901,7343,9667,9471,6377,6006,7336,9352,8848,6741,6447,7196,9807,9219,6237,5425,7056,10045,8379,6370,5278,6930,9044,9240,6510,5915,6965,9870,8330,6615,6244,7518,10031,8561,6370,5936,7595,8953,8701,6097,5509,7455,8995,8281,6006,6013,7763,10206,8897,6349,5978,8295,10444,11067,6321,6489,9884,10290,8526,6167,6867,9674,10157,8708,6272,7539,9373,10703,8386,5775,7252,9401,9982,8099,6160,6559,9723,9884,7539,6146,6825,8869,10521,7651,6034,6650,8596,9730,7308,5670,6321,8855,8855,6783,5803,6363,8820,8834,6748,5005,6461,8477,9016,6818,5425,12236,9254,7777,5607,5684,7560,9212,7189,5327,5964,7525,9499,7511,5502,5495,7763,9065,7826,5152,5565,7847,9184,6629,5145,5390,7854,8498,6818,5040,5999,7581,9345,7406,5334,5726,7973,8519,6832,5201,5901,7385,8323,6797,5222,5152,7168,8470,6006,4536,5376,7105,8274,5467,5348,5271,7742,9254,6468,4760,5292,7882,8911,6454,4655,5628,6958,8652,6237,4522,4851,7210,8148,6251,4641,5229,7357,7959,6118,4907,5726,7175,8148,6237,4627,5684,8554,8505,6279,4683,5229,7371,7658,6181,4662,5852,8393,7742,6286,4963,6209,7917,8239,5747,4984,5915,7861,8694,7000,5635,6979,9009,9737,6993,6139,7826,10409,10423,8498,7651,9933,12866,14609,11886,9569,19838,16429,14700,11760,11032,14917,16030,14581,12432,12845,15932,17241,14735,11431,10801,14553,15351,14308,10563,8393,10773,11004,9093,6608,7049,9625,10220,9233,7679,8330,12908,15008,11837,9660,9485,12978,14063,12439,10668,8743,13356,14700,12656,10157,9450,12614,13111,10605,8386,8673,12299,13475,11207,9065,8918,12320,13909,11809,9506,7987,12733,13062,11312,8764,8967,11718,14077,11368,8568,8092,11697,12733,11095,7777,7931,10402,12551,10514,7546,7483,9744,11151,10556,7329,7532,9492,11935,9506,7651,8008,10500,13363,12173,9303,10129,14007,17528,15750,12355,12943,16947,18914,18417,15932,14742,18025,19642,19810,15372,14021,17542,18109,16737,12761,10234,11235,12180,11319,8267,8512,11039,15155,12628,9317,8883,20468,12880,10122,7630,8813,10983,11886,8799,6622,7014,9457,8050,5894,2877,1099,301,245,133,70,42,28,42,35,1,2,2,3,2,2,0,1,0,3,2,3,3,3,3,1,1,1,3,2,2,2,2,0,3,1,2,1,2,1,3,3,3,0,3,3,3,2,1,3,3,0,1,3,1,2,0,0]
[0,1,3,0,1,2,3,3,1,3,2,3,2,35,0,28,28,0,35,2,35,28,42,98,98,112,91,147,245,231,245,301,413,476,672,791,854,1421,1792,2233,3388,4907,6678,10367,11193,9240,7455,7588,10269,12082,9331,7385,8512,10521,11921,9142,7357,7588,11319,12481,8876,7518,8099,11655,11662,9156,7154,8141,10619,11774,8729,6979,8785,11088,11571,8911,7336,8260,10766,10689,8071,6559,8239,11200,10990,8645,7126,9219,11319,11907,8694,7469,9044,11872,10297,7770,7189,9898,12586,10591,7539,7168,8869,11039,11438,8708,7511,9835,11347,10703,8001,7336,10136,12173,10654,7686,7189,9870,12285,10297,7343,7315,9632,12033,10360,7357,7112,17332,10381,7266,6454,9100,11207,10409,7574,6594,8778,11354,10458,6965,7329,9212,11151,9478,6930,6734,9737,10521,9744,6706,6860,9065,10857,9415,6734,6811,7882,10409,9618,7259,6314,8925,9835,9282,7133,6545,9982,11242,9030,6349,6888,9198,10843,8582,6671,6139,8393,9884,8197,5950,6160,8659,9415,8071,6027,6706,9135,10206,8232,5880,5845,7819,8554,7518,5495,6209,8568,9128,8155,5915,5747,8750,9492,7714,5971,6881,9177,10381,8610,6363,5908,9646,10570,8050,5775,6783,9905,9450,7924,5649,6797,9681,10017,8442,5733,6972,8918,9562,7819,5642,6342,9471,9282,7861,6118,6783,9821,10766,8799,5446,6818,12992,10157,7399,6202,7448,10619,9401,6510,6125,7924,9576,14560,6118,6510,8309,9135,6993,5677,6433,9149,9198,7210,5635,6979,8890,9422,7364,5698,6146,9520,9373,6979,5593,7210,9408,10255,7147,6062,7168,9590,9653,6762,5369,7308,9702,9681,6349,5894,6349,9667,9100,6685,5859,9940,9114,7875,5845,5894,7371,9191,7952,5880,5705,7427,9401,8183,6286,5733,7917,9506,8008,5908,6027,7735,9408,7511,5523,5565,8155,9324,7924,5579,5691,8197,8883,6867,5166,5684,7875,8827,6748,4711,5061,7035,8540,7476,5404,4823,7840,8883,7546,5488,5621,7406,8645,6657,4949,5054,7707,8904,7035,4655,5621,7266,8645,6545,4977,5110,7049,8043,6517,4802,5082,7553,8106,6972,4802,5488,7693,8841,6790,5271,5376,7448,13055,5103,5467,6979,8687,7686,5894,5502,7728,8624,8022,6069,5628,7476,9681,9275,7742,8232,11165,14259,13076,10297,10290,14252,16331,14896,12558,11396,14588,16709,16051,13377,11613,15120,17143,15967,12754,11354,14665,17640,15624,12838,12593,15043,17913,16163,12390,10444,12684,14308,12705,9737,7721,8365,9499,8883,7175,8890,12082,14462,13300,10948,9856,13356,15302,13930,11081,10535,13643,15995,14455,11165,10164,12425,14602,13566,9702,8953,11767,15407,15022,10717,9793,12586,14861,13125,10990,9912,12740,14840,14056,10906,10486,13517,15869,14483,11494,9968,12082,14896,13594,10773,8274,10248,12334,10913,8169,7273,9821,11711,11361,8302,7637,9954,11774,10962,7616,7203,10052,12096,11970,9373,9212,12950,16506,25431,12376,14917,18193,19852,18375,14763,16135,19537,19551,17605,13496,15015,17899,17752,15253,11732,10472,12474,12789,9828,8239,9261,12271,13461,10612,8631,9604,12334,13013,10353,8057,8078,10619,11368,9233,6867,7077,7693,8099,5733,3248,1400,385,357,119,84,42,63,3,28,0,0,1,0,3,1,2,2,28,3,1,1,2,1,0,1,3,1,1,3,3,1,0,2,3,3,2,2,0,2,1,1,3,3,0,0,0,3,0,2,0,3,2,3,1,0,3,1,1]
[2,3,0,2,1,0,0,3,3,1,0,1,0,0,1,1,0,0,42,3,28,49,70,49,56,35,91,161,140,189,210,231,322,378,504,609,728,1008,1351,1764,2485,3514,5383,8673,11613,13650,12677,9443,10892,12754,14483,13727,9989,11606,13356,13797,12838,8869,10402,13713,14098,13293,9275,12313,13867,14938,12607,9324,11991,13916,14322,12306,14665,20832,13874,11662,9597,11319,13825,14350,11291,8988,12222,13174,14490,11466,8967,11851,13839,14231,10836,9758,12040,13776,13860,10773,9555,13034,13048,13930,10493,8995,13139,13048,13384,11130,9499,13475,13573,13601,9247,9548,12565,13895,13720,9877,10374,12761,14112,13076,9233,10108,13412,13433,13090,9632,9653,13139,13132,12334,8435,9919,13202,12880,12285,8169,9156,12145,13405,12061,7903,9331,12726,12817,11571,8232,9744,12292,12747,11767,7952,9786,12502,13041,10871,8232,9226,12663,13118,10920,7686,10073,13125,12481,11144,7987,9576,12698,13832,11095,7931,9849,13076,12691,10465,7987,9450,12166,12285,9968,7350,9898,12670,12698,9688,7665,9583,12845,12656,9653,7238,10052,12250,11711,8960,7581,17241,12481,10220,7252,8582,12061,12614,10353,7469,8869,11585,13062,10493,7658,9408,12243,12117,10822,7210,8939,11998,12866,10577,8141,9422,12313,12957,10437,7952,9968,12481,13314,11032,8246,10276,12908,12656,10213,7525,9632,12145,13181,9982,7602,9639,12901,12677,10423,7427,10052,12376,13496,10255,7868,9947,12299,12103,8904,7427,10255,12502,12166,9044,7091,9653,12208,12075,8946,6692,10213,11949,11991,9345,7056,10262,12131,11592,8442,6958,8673,12411,12124,7980,6342,9310,11970,12523,8323,7329,10010,11816,11956,8295,7196,9730,12068,11725,7700,7056,9989,11886,11529,8421,6958,9891,11564,11683,7714,6671,10234,11459,11655,8001,6454,9940,12096,10969,7441,6916,9149,11319,11326,8358,6587,10745,19887,9702,6769,8477,11522,11375,8799,6559,8967,11018,11914,8743,6335,9051,11921,11053,8680,6328,8694,11711,11368,8512,6384,9170,11368,11683,8260,6720,9492,12341,11473,7483,6139,8386,11109,11221,7973,6531,8638,11928,11767,8176,6272,9828,12208,11816,8456,6447,9702,12320,12103,7980,6566,9688,13650,14602,10647,10241,15120,16310,17150,18347,15652,17640,18368,19159,17682,14644,17164,18221,18480,18732,17633,17962,18970,18837,19796,16499,19047,16632,18977,19054,15456,18613,17437,19082,20986,16744,18753,18018,19474,19628,16891,18760,17360,18795,20237,16835,19033,16856,18137,19999,16198,18669,18333,19649,20762,17087,19649,17682,19488,19544,16632,18312,16926,18991,19782,16093,18662,17493,19166,20426,15281,18858,30422,20615,16016,18158,18207,18340,21364,16338,19656,17052,17227,21182,16898,18151,17297,17129,19208,15470,17367,17206,16149,18907,15099,16051,16555,15610,17311,13013,14252,15505,15687,14707,11732,12173,13678,14217,13160,9198,10955,14539,14357,13048,8967,11277,14042,14896,13307,9212,11144,15022,15610,14105,11221,12082,15260,16499,17150,13405,16744,17633,18648,21756,16954,18515,18599,17360,21014,17444,18767,18669,17108,19845,15701,14343,15764,16415,15421,10920,12117,15183,14602,14987,12117,11907,14280,15351,14427,12187,10731,13818,13055,12635,9954,9324,11564,9394,6125,4480,1841,721,280,126,84,28,35,35,35,2,1,2,2,3,3,0,3,2,2,3,2,2,1,1,2,1,1,3,0,0,0,2,1,3,2,2,1,2,0,2,1,3,0,3,2,0,3,3,2,0,0,2,0,3,2,3,2]
[1,0,3,1,1,2,0,2,0,0,1,2,3,1,3,3,0,2,28,49,42,56,70,42,77,105,49,133,140,210,231,308,315,427,665,763,931,1246,1764,2065,2828,4130,6020,8624,10906,8946,6853,7819,9765,11018,10297,7672,8218,10423,11865,9926,6993,8155,10570,10892,9653,6762,8253,9891,11172,10024,7742,8680,10563,11375,9737,7504,8827,10633,11634,8379,7049,7917,10633,10612,8547,6993,8330,9772,10591,8925,7315,8659,10164,11074,7973,7112,8890,10927,10430,8435,6930,8638,10738,10584,8813,7098,8561,10857,9478,7875,7735,9695,11515,10528,7896,7007,8981,10864,10570,7819,7161,8918,10185,9506,7756,7392,9590,10703,10087,7245,7420,9100,10885,9590,6776,6916,9030,10661,8652,6713,6685,9037,10598,9499,6895,7329,9828,10206,8610,6958,7623,9443,10892,9520,6846,7413,8575,9814,13209,6475,8365,9786,9079,6734,6601,8561,9597,9240,6552,6230,8400,9688,9093,6972,6608,8666,9912,9394,6258,6216,8547,9513,8687,6482,6622,8344,10948,8855,6734,6160,8253,9415,8484,6384,6272,8610,9744,8106,5460,6594,8736,9499,8162,6055,6426,7861,9352,8470,6083,6769,8568,9485,8225,6328,6720,8617,9618,7868,6223,6888,8729,10143,8421,6300,6363,9639,10437,9499,6426,7007,8869,9961,8561,7238,7042,8701,9562,8183,6279,7637,8043,8491,8169,5866,7070,8351,9849,8498,5817,7091,8876,9331,8176,6559,7182,8519,9415,7455,5481,7245,8848,9380,7357,6048,6916,8470,9401,7189,5481,6692,8428,9590,6839,6111,7042,9198,9366,7294,5502,6811,8498,8624,10017,6384,7945,8981,7021,5446,6090,7693,8344,7602,5866,5929,8456,8554,7364,5362,6965,8302,8470,8113,5495,6811,8050,8512,7287,5628,6888,8211,9023,7378,5474,6293,8295,8442,7413,5481,6020,7980,9310,8197,5670,6461,8176,8841,7441,5397,6146,8358,9688,7266,5628,6475,7931,8533,7063,5537,6727,7931,8554,7203,5488,6790,8141,8582,6825,5075,6944,8113,8120,7042,5425,6853,8204,8631,6797,5572,6629,8351,8750,6454,5306,6419,7924,9037,6384,4886,6867,8484,8519,6405,5572,6741,8792,9275,6468,5516,7028,8694,9968,8834,8512,10843,14091,16247,15379,11648,12460,15204,16114,13650,10822,11886,14861,18018,14763,12670,13251,14805,18137,16471,12446,14133,16646,18648,23310,18676,16415,20741,16422,12292,19572,17654,16072,19117,13692,15526,18333,17143,12712,13433,16695,16604,24017,13188,13685,23373,18277,14070,13895,15225,16149,18921,14840,12383,18053,14322,18606,14574,13160,15946,16744,19138,14385,12607,14728,17332,24507,13461,17920,24157,16646,20685,13503,15120,19271,16772,12572,13111,16184,16779,17010,13447,12698,14700,16569,17353,12467,11809,14210,15155,14483,10696,10801,12313,14168,12446,8771,9352,11242,12768,11606,8064,8176,10969,12901,11277,8547,8589,11753,11781,11165,8477,8232,11991,12292,12054,7651,10787,12908,14462,13048,11627,11802,15099,16884,19453,14231,14175,16975,18872,18018,20678,15155,16814,19537,18550,10822,12390,12684,19831,10598,8561,10829,12831,13433,15344,8883,12558,12789,16044,9044,10178,11732,12019,9422,7329,11851,9037,8099,5313,2338,777,378,210,133,63,84,35,28,2,1,28,2,3,3,2,28,2,2,3,0,0,3,2,0,1,2,0,0,0,1,1,0,0,0,0,0,3,1,0,3,0,0,0,2,1,2,2,1,3,3,2,0,1,3,3,2,3,0,1,2,3]
[1,3,0,1,1,0,0,3,2,2,1,0,0,0,3,0,2,2,42,2,2,49,35,42,56,77,119,84,133,161,238,294,343,364,511,679,889,1078,1407,1967,2247,3101,4256,6566,9730,10745,8890,7455,8708,10465,11466,9681,7448,9142,10661,11193,9422,7168,9324,11123,10990,8771,7294,9079,11291,11298,8911,7721,9709,11270,11256,9058,8197,11088,11557,11354,8239,7987,10675,12075,11151,8463,8120,10269,11739,10458,8155,7959,10682,11368,10367,7441,8134,10997,11130,10423,7287,7742,10808,11914,10780,7399,7756,10199,10997,10206,7784,8365,10073,10948,10346,7357,8463,10640,10955,10304,12782,10374,12026,10955,7308,7952,10017,11872,10241,7245,7441,10150,11557,10003,7329,7931,8988,10409,8974,7147,7231,9548,10990,10283,7161,7378,9037,10899,9660,7518,7385,9716,10829,9814,7028,7903,9079,10983,9009,6741,7336,9289,10248,8568,6391,7434,9310,10080,8715,6447,7847,9464,10087,8239,6006,7546,10024,10283,8218,6300,7644,9527,10094,7483,6230,7462,8911,9051,7378,5929,7231,9233,9842,7567,6069,7385,9135,8694,7056,5950,6741,9415,8841,6853,5936,7168,8484,8498,6608,6307,8309,9317,9296,7357,6209,7770,9240,9338,7308,5908,7889,8890,8834,6909,6363,7847,9891,9576,7098,6433,8106,10164,10395,7511,6923,7714,10199,8869,7133,6174,8197,8813,8855,7588,11263,8897,8827,6734,6083,6993,9786,9639,8071,6076,7595,8869,9702,7203,6447,7609,8841,9275,7287,5992,7700,8757,9240,7588,5355,7189,9758,9485,7819,6132,7728,8876,9100,7245,5943,8421,9058,9758,7686,5726,7945,8855,8589,7063,6097,7553,9233,9184,6643,5488,7105,9037,8750,6839,6146,7434,8785,8911,6482,5670,7420,9093,8442,6188,5663,7133,9233,8939,6587,5425,7238,8659,8533,6321,5530,7224,8400,8351,6510,5887,7322,9100,8253,6300,5362,6636,8715,8750,5817,5278,6874,8589,8316,6545,5383,7665,8344,7756,5313,5502,7161,9366,8288,5859,5264,6706,9205,8281,6090,5642,7266,8869,8190,5803,5824,7966,9569,8435,5908,5551,7427,9030,8260,6195,5761,13524,9016,6944,5649,7084,8498,8757,7322,5572,7602,10325,11347,8260,8729,11172,13608,16814,14686,11319,11753,14133,14350,12390,11648,14294,16023,17185,15029,11585,13811,16100,17227,14952,12936,13958,15806,17745,15848,12481,14553,16779,17962,14812,12852,14889,17227,17997,14931,11746,13804,16800,18578,14224,12579,14000,16758,18074,15897,12803,14798,17066,19012,15764,12719,14441,16618,18851,15862,13013,14812,17542,18004,15484,13342,15148,18053,18767,15120,12866,14749,17570,18018,15190,12614,14392,17017,19061,16114,12936,14490,17248,18410,16310,13265,14441,16583,17780,14917,11613,13944,15120,16135,13195,10451,11445,12404,12915,10227,7469,8827,10360,10290,8463,7070,9345,10598,13244,7931,7322,9114,10563,11515,8974,7392,17339,11844,12467,7357,8827,11263,13160,11515,9240,10668,12936,15400,14021,11326,12208,15855,18123,17850,14259,13370,16163,18074,18858,13874,14168,15701,18151,16947,12243,11340,12173,13181,12285,9240,8981,10577,12705,12705,9373,9149,12327,14154,13916,9954,9562,11263,12362,11949,9128,8365,9114,9723,7420,4704,2023,686,322,182,84,105,35,70,42,28,1,0,1,0,0,2,1,0,0,0,2,2,2,2,3,3,1,0,2,3,0,1,3,0,2,0,2,1,1,0,1,1,3,0,0,0,3,3,2,1,2,1,0,3,3,1,3]
[0,0,3,0,1,3,2,2,0,2,1,1,2,3,28,2,1,1,2,0,28,56,70,49,0,56,42,84,196,112,133,224,329,357,539,539,784,1428,1463,2184,2415,3332,4011,10087,6230,5096,4977,6363,6853,6909,5712,5222,6188,7581,6993,5586,4914,6132,6965,6524,5334,5628,5929,7000,6440,5726,4998,6181,7399,6818,5544,5411,6426,7525,7070,5432,5726,6559,7700,7007,5460,5691,7007,7000,6041,5201,5096,6160,7217,6566,4774,5292,6433,7042,5432,5152,5761,6328,7168,5873,4956,5194,6216,7490,5341,5012,5180,6888,6664,5852,4613,5621,6104,6846,5502,4837,5292,6237,6881,5334,4837,5152,6559,6909,5299,4620,5250,6223,6356,5726,4669,5369,6692,6650,5271,4725,5362,6580,5992,5306,4452,5369,6132,6601,5481,4718,5789,6503,6517,5047,4732,5810,6657,6377,5159,4515,5502,6559,6090,5180,4389,5432,6489,5635,5061,4501,5775,10738,5313,4508,5488,6251,6468,5047,4403,4760,6272,6272,5054,4242,4816,5719,6062,4508,4368,4977,5817,5747,4921,4214,4970,5572,6181,4438,4403,4970,6132,5824,4900,4109,4844,6020,5957,4823,4235,5320,6349,5957,4802,4438,5558,6916,5768,4557,4522,5236,6223,5831,5019,4557,5488,6300,6580,4438,4508,5278,6272,6139,4543,4550,5369,6601,5985,4613,4459,5579,6258,6300,4585,4557,5747,6573,6020,4459,4284,5250,6265,5341,4501,4494,5355,5579,5376,4627,4004,5677,6034,5320,4466,4319,4998,5957,5278,4116,4473,5635,5810,5411,4382,4431,5306,5810,5530,4326,4060,5467,5446,5719,4284,4396,5341,6111,5243,4312,4515,5404,5922,5194,4291,3997,5432,8911,3899,3843,4536,5222,5026,4060,3906,4634,5600,5138,4291,3899,4417,5369,4837,3955,3983,4571,4893,4809,4116,3927,4753,5677,5236,3955,3969,5054,5621,5068,3983,4137,4711,5495,5306,3878,3948,4543,5215,5047,4284,4011,4648,5600,5019,4179,3682,4494,5201,5047,3507,3619,4669,5362,4606,3640,4137,4515,5474,4613,3822,3577,4382,5292,4508,3738,3682,4711,5509,4802,4088,4109,4942,5558,5243,3759,4039,4564,5509,5124,4368,4669,6244,6468,6216,5110,5894,7581,8540,7665,6608,6055,7609,8799,8533,6776,6454,7728,9086,8722,6671,6643,8421,9170,8715,7063,6419,8001,8792,8365,7420,6538,8540,8568,8673,6902,7126,7553,8631,8813,6923,6363,7840,9037,12607,6251,7448,9177,9226,7588,6671,8043,9163,8778,7420,6538,7728,8960,9100,7917,6629,7805,9254,9387,8288,7140,7924,9338,9597,7840,6944,8057,9345,9632,7875,6818,7665,9387,9737,7616,7042,7938,9856,10514,8169,7371,7623,9408,9758,8162,6867,7245,8204,8701,6867,6090,6825,7826,8610,7259,5733,6314,7665,8554,6664,5922,6748,8183,8750,7119,6279,7210,9002,9149,7574,6104,7329,8834,9758,8638,7392,8323,10003,10787,9471,7700,8617,10220,10626,10031,8421,9240,10745,11207,11214,8813,9499,11039,13097,10598,8974,8841,10003,11116,10220,6944,7581,7994,8183,6559,5929,6552,8050,8827,7385,6013,6818,8393,8421,7616,6027,6489,8295,8078,7238,5208,5250,6272,9744,3031,1533,679,322,175,112,84,42,1,3,2,2,3,0,2,2,2,3,2,2,3,3,2,0,1,0,2,1,1,3,1,2,3,2,0,3,0,2,2,0,3,3,0,2,2,3,2,1,2,2,3,2,2,0,0,3,3,1,0]
[2,1,2,1,3,3,0,3,2,1,1,3,3,2,0,1,3,0,0,0,0,2,49,42,28,84,70,70,77,91,119,189,203,287,294,420,490,588,1050,1099,1701,2401,3696,5873,5978,7294,5586,5124,6601,6608,6804,6447,5103,6503,7168,6888,5250,4830,6888,6923,6818,5159,5068,6636,7161,7112,5922,5278,5922,6916,6972,5215,4858,11305,6601,5530,4872,5971,6335,6818,5530,5012,6265,6685,6538,5747,5201,6300,7210,7413,5327,5614,6979,6874,6916,5929,5068,6573,6895,7035,5159,4956,5873,7168,6636,5411,5600,6230,6629,7091,5250,5446,7077,6881,6097,5250,5131,6195,6720,7000,4620,5446,5579,6083,6258,5208,5425,6783,6923,6188,4739,5138,6524,6335,6146,4886,7140,6615,7224,5285,4788,5705,6223,6055,5502,4781,6405,6818,6286,4977,4319,6195,6230,6580,5362,4501,6020,6356,6230,5103,4802,5642,6258,5831,4669,4529,5404,6139,6321,4662,4760,6993,5656,6286,5012,4396,5131,6314,6153,4557,4298,5187,6237,5642,4431,4774,5474,5943,6097,4291,4718,5460,6090,5012,4389,4326,5432,9737,4508,4298,6076,6062,6510,4907,4242,5712,6111,6314,5096,4011,5327,5999,5915,4760,4487,5621,6286,6188,5040,4732,5523,6230,6111,4676,4452,5817,6391,6594,4977,4942,6279,6797,6069,4935,4571,5824,6524,6048,4445,4480,5824,5719,6545,5208,4333,5817,5978,5656,4935,4228,5068,5838,5726,4319,4333,5474,6139,6062,3871,4480,5096,6139,5761,4445,4221,5740,6391,5838,4221,4522,5180,6272,6013,3941,4410,5327,5859,5957,4165,4263,5376,5691,5229,4284,4354,5243,5691,5775,4081,4228,5047,6027,4949,3927,4235,5257,5621,5467,4039,4354,5852,5978,5467,4284,3906,5348,5761,5215,3696,3955,4613,4977,5152,3794,4263,5383,5985,5586,3948,4060,4739,10381,2982,6846,4949,5523,5145,4095,4018,5124,5544,4858,3430,4368,5054,5684,4627,3584,3745,4676,5320,4830,3808,4256,5082,5852,5019,3843,4319,5117,5376,4403,3703,4522,5033,5635,5313,4067,4284,5334,6160,5292,3906,4333,4984,5670,4865,3808,4487,5495,6657,5166,3766,4893,5495,5943,5733,5285,6034,8351,8162,8351,6181,6706,7812,8085,7952,6398,7707,8015,9422,9443,6818,8106,9002,8526,8001,7042,7665,8848,9156,8932,6727,7525,8512,8239,8715,7224,7448,8512,8540,8302,6580,7980,7623,8246,8869,7931,7861,8519,8204,8568,6965,7434,7560,8442,8330,6496,7210,7931,8015,8484,6559,7182,7910,8491,8064,6643,8141,7952,8106,8729,7210,7903,8218,14644,7273,7126,8267,8008,8617,7560,6993,8099,8197,8820,7077,7280,8113,8183,8316,6853,6104,6993,7399,7525,6230,6377,7273,7966,8428,6776,6657,8750,8225,7945,6643,6832,7693,7644,8141,7070,7028,7819,8015,8568,6475,6041,7224,7686,8337,7063,6216,7595,8092,8470,6944,6489,8267,8729,9373,7749,7490,8729,8722,9709,9205,8092,9044,8407,9590,8638,8008,9051,8330,8442,7301,6930,7189,7462,7847,5971,6020,7357,7742,7644,6839,5866,8120,7539,7525,7497,5516,6776,6958,6419,6202,4732,5467,5285,4669,3815,1792,630,189,133,105,63,28,42,1,0,2,0,0,3,0,1,2,1,0,2,0,2,1,0,3,1,0,1,3,3,3,0,0,1,3,2,3,0,2,3,3,2,0,1,1,1,0,3,1,0,0,0,0,3,1,2,0,2]
[3,3,3,2,2,3,3,1,2,0,0,1,2,2,2,1,1,3,0,2,1,1,0,3,2,0,2,3,3,2,3,3,49,49,3,35,28,70,63,84,49,70,70,84,77,98,91,42,112,126,91,49,126,77,161,91,98,98,119,98,119,70,49,91,49,91,133,77,84,84,56,119,112,98,56,119,105,84,63,77,91,119,49,147,77,91,63,56,105,133,126,56,91,77,98,49,91,56,119,105,35,77,42,105,126,98,112,84,84,126,70,84,98,91,63,126,91,63,56,133,84,112,63,133,77,70,119,105,63,49,105,63,112,112,56,91,63,119,140,56,70,91,56,84,77,42,140,161,140,49,98,98,126,49,56,77,77,105,112,112,56,77,105,105,98,119,98,98,70,133,105,70,119,126,119,91,105,84,133,63,49,77,49,91,91,105,91,63,98,98,119,56,70,84,84,105,84,98,119,154,91,98,49,42,77,126,56,91,28,98,91,98,63,56,70,91,63,84,70,63,63,105,84,77,105,147,98,84,105,84,98,84,84,56,126,126,84,133,119,91,105,133,119,56,49,84,112,112,84,105,91,84,70,91,63,77,98,91,77,63,84,63,42,119,70,49,49,91,84,77,133,91,63,77,42,70,42,63,63,49,91,42,28,84,70,133,91,56,70,63,49,84,63,84,56,126,105,77,112,98,56,70,42,105,91,84,84,70,98,77,112,56,56,98,84,84,140,28,84,56,63,63,63,126,91,84,112,105,63,77,77,70,42,28,70,84,28,98,98,77,56,91,63,112,56,63,49,56,2,35,28,56,84,63,56,77,91,84,105,91,70,70,70,28,77,70,98,70,91,70,42,147,56,84,70,91,63,84,105,119,147,119,140,105,168,168,140,161,133,105,154,168,63,140,140,126,126,133,91,98,126,112,133,147,112,133,175,140,84,105,70,196,161,112,147,63,119,161,140,140,105,119,112,112,140,147,105,133,70,154,105,98,56,105,84,133,105,147,119,84,112,154,133,126,98,84,133,126,126,112,98,133,133,49,98,91,119,119,189,84,140,63,77,84,91,112,126,84,98,77,154,105,119,77,112,154,147,91,105,42,154,161,133,119,98,161,105,154,91,126,168,140,126,119,161,154,112,119,154,126,133,217,119,112,105,84,161,98,119,133,119,140,98,105,105,140,84,98,98,91,49,105,133,84,119,133,77,98,112,70,98,147,133,84,63,84,49,84,63,35,56,35,42,35,3,1,1,2,0,2,0,3,1,0,3,1,1,3,0,0,0,1,0,1,2,0,3,1,3,1,0,1,1,3,3,3,3,3,0,0,3,1,2,0,0,3,2,0,0,1,0,1,3,0,2,1,3,0,2,1]
[2,1,2,0,1,3,3,3,0,1,1,3,1,2,2,3,3,0,2,0,3,1,3,1,0,2,2,2,2,3,1,1,0,0,0,1,1,0,1,2,3,3,1,0,3,0,1,3,1,2,3,2,2,1,2,3,0,2,1,0,2,0,2,2,2,1,1,1,1,0,1,3,0,1,0,0,1,0,2,2,2,0,0,2,1,1,2,3,3,3,0,1,0,3,3,3,0,2,1,0,1,1,3,3,0,2,3,0,3,2,1,1,2,0,2,2,2,1,3,0,1,1,0,3,0,1,2,0,3,0,3,3,0,1,1,2,1,1,0,3,1,3,2,2,2,0,3,3,1,0,3,3,2,0,1,1,3,2,1,1,0,3,2,1,3,3,1,2,1,3,0,3,3,3,3,0,1,1,2,2,2,3,0,2,3,0,2,3,1,2,3,1,0,2,3,3,2,0,0,0,0,0,1,0,1,3,2,3,0,3,1,2,0,1,2,1,1,2,1,1,2,2,3,2,0,2,1,1,1,3,3,0,0,0,2,2,3,1,0,2,1,2,3,1,2,2,3,1,1,2,1,2,3,2,0,2,0,3,3,3,0,0,0,0,3,1,2,3,3,0,0,2,3,3,3,0,2,3,2,2,1,3,3,1,1,0,1,0,3,1,2,3,0,3,2,2,1,1,0,2,0,1,0,2,3,0,1,2,1,1,0,3,2,0,0,0,2,3,1,3,3,1,1,1,0,1,0,3,0,2,1,1,2,3,2,3,0,0,1,2,2,0,1,3,0,1,1,1,0,3,3,0,1,0,3,3,1,3,3,0,1,3,0,3,2,1,2,1,3,2,2,3,3,1,2,2,3,0,1,0,0,1,0,2,3,0,0,0,3,3,2,2,2,1,1,2,2,1,1,3,3,3,2,0,1,1,2,1,1,0,3,1,2,3,2,3,2,2,0,3,1,2,3,1,3,0,1,3,3,2,2,0,2,0,2,1,1,2,2,3,0,2,1,0,1,3,1,2,0,3,1,1,0,0,1,3,1,2,3,3,0,2,2,1,2,3,2,3,3,1,0,2,1,3,28,2,1,3,2,3,3,3,0,3,0,2,2,1,3,2,0,3,2,0,0,1,0,0,3,1,2,1,1,3,1,0,2,1,2,2,3,3,0,3,2,3,1,1,3,3,2,0,3,1,3,3,2,2,0,0,1,3,3,2,0,2,3,3,0,3,0,0,1,0,3,0,2,2,3,2,1,1,2,1,2,0,3,0,2,0,1,3,1,2,1,3,1,0,0,0,1,2,3,1,1,3,0,1,3,1,1,2,3,2,1,2,1,2,0,1,3,2,0,3,2,3,1,2,2,0]
[3,1,2,3,3,0,3,1,2,2,3,2,0,2,3,3,1,2,3,2,2,0,2,2,2,3,3,0,3,2,1,0,1,0,2,1,2,2,0,2,0,0,3,3,3,0,2,3,0,3,0,0,3,0,1,3,1,3,2,2,2,1,3,2,0,2,2,3,2,3,3,3,1,3,2,0,2,3,0,0,0,3,2,0,1,3,0,1,0,2,3,2,0,2,1,2,1,3,2,2,1,0,3,1,1,3,0,1,0,3,3,1,3,0,3,1,3,3,3,3,2,3,3,0,1,2,1,1,3,2,2,0,2,1,1,2,1,3,0,0,3,1,2,3,3,1,1,0,1,2,0,3,0,1,0,2,3,2,2,2,0,1,0,0,0,1,3,3,3,2,2,1,0,3,3,3,3,0,2,2,3,3,2,3,2,1,3,1,0,2,2,0,2,1,3,3,0,2,2,3,3,0,2,2,3,1,1,2,1,2,3,2,1,0,0,3,0,3,2,1,0,1,2,2,2,2,1,3,2,1,2,3,3,2,1,3,0,3,0,2,3,0,2,0,2,1,0,1,3,2,3,0,2,2,1,2,1,3,1,3,1,3,2,0,3,1,3,0,1,2,2,3,1,2,2,2,0,1,2,3,1,3,3,3,2,3,3,3,0,0,1,1,3,0,0,3,3,1,1,2,0,3,2,1,3,2,2,3,2,2,1,0,1,3,0,2,1,3,0,1,0,3,3,0,0,1,2,2,1,1,0,1,0,0,0,2,1,2,0,1,0,1,0,2,2,1,2,1,1,2,0,1,1,2,1,1,1,1,1,2,2,2,0,2,3,3,1,3,3,2,0,0,3,2,0,3,2,1,1,2,3,2,0,2,1,3,1,0,0,0,2,0,0,1,0,0,2,1,0,0,1,3,3,2,0,0,3,3,2,2,1,3,3,0,1,1,2,2,1,2,2,1,3,1,2,1,2,2,3,0,2,2,3,2,1,2,0,2,1,0,3,2,0,3,3,0,1,3,2,0,2,1,2,1,2,1,3,3,1,0,1,1,1,3,3,3,0,2,2,1,2,1,3,0,0,1,3,0,2,0,3,3,3,2,1,2,2,2,3,3,1,1,0,2,1,1,1,1,0,3,1,2,2,0,2,1,2,1,1,1,2,3,0,2,0,3,0,0,0,1,3,3,3,3,0,3,2,2,1,1,2,0,0,2,0,0,3,3,0,1,1,2,3,1,2,2,2,2,2,1,1,0,1,3,2,0,0,1,3,0,2,0,1,2,0,2,0,1,2,2,0,1,3,3,3,3,2,0,3,0,3,2,1,0,0,2,0,0,1,2,0,0,0,1,0,1,2,1,2,3]
[3,2,2,2,1,0,2,0,3,2,3,3,0,3,3,1,1,3,2,3,3,1,1,2,3,0,0,2,2,2,0,0,3,0,1,1,2,0,0,3,1,0,2,1,3,3,1,1,3,2,3,3,1,1,2,1,2,1,1,2,3,0,0,3,3,2,2,1,0,0,1,0,3,2,3,3,1,2,0,1,3,0,3,1,3,3,1,3,1,0,2,3,0,1,0,3,2,1,1,1,3,1,2,2,3,1,2,1,2,3,3,3,3,2,2,3,2,2,3,1,1,1,2,2,1,0,2,2,0,0,0,3,0,0,0,3,1,1,1,2,3,3,0,3,3,2,3,3,1,2,0,0,2,3,0,1,1,1,0,3,3,3,2,1,2,1,2,3,0,1,1,3,0,0,2,1,1,3,0,3,0,1,3,1,0,3,2,1,3,1,2,3,2,1,2,3,0,0,3,1,2,2,3,2,0,1,3,0,3,3,1,0,1,2,3,0,3,3,0,3,2,3,2,1,3,2,2,1,2,3,1,1,2,1,1,3,2,1,0,1,3,1,1,1,0,1,3,0,3,3,0,0,1,2,3,1,1,3,3,1,0,1,2,0,0,1,1,2,2,2,3,0,0,2,0,0,3,1,2,1,1,1,3,2,1,0,3,2,0,0,0,2,3,0,3,0,2,3,2,1,3,0,1,3,2,0,0,0,1,0,3,3,3,0,2,0,1,1,2,2,2,1,2,0,1,3,0,0,2,0,2,1,3,0,0,2,2,2,3,3,3,2,1,3,2,2,1,2,0,1,1,0,1,1,1,3,0,1,1,0,1,3,1,2,0,0,3,2,1,1,0,3,0,3,3,0,0,3,0,3,3,3,1,1,1,1,0,1,0,3,3,2,0,0,0,0,1,2,1,1,2,1,2,0,0,1,1,0,2,3,1,1,2,0,3,1,1,1,3,1,1,3,3,3,3,3,1,2,3,0,0,1,0,0,1,0,2,2,1,0,1,1,0,0,2,0,1,3,3,1,2,2,3,1,0,3,2,1,0,1,0,0,1,0,3,2,0,1,3,2,2,1,3,1,1,3,0,1,1,0,3,2,1,0,0,3,2,3,3,3,2,0,0,3,1,0,0,2,0,0,1,1,1,0,1,0,1,0,3,1,0,0,0,1,0,1,1,2,1,0,3,3,0,1,0,1,1,3,0,3,0,0,3,3,3,1,0,0,2,3,2,1,1,3,0,3,2,1,0,3,0,2,1,2,0,2,1,1,1,2,0,1,1,3,3,2,3,2,2,1,0,0,1,1,1,1,2,3,2,2,1,2,1,0,2,3,0,2,0,3,2,2,0,1,0,3,0,1,0,1]
[0,0,1,2,1,2,1,1,1,0,0,1,0,0,3,3,0,2,3,3,3,2,2,3,0,0,3,2,0,1,3,2,0,1,3,3,3,1,1,0,3,0,1,3,3,1,3,2,2,0,3,2,2,0,1,2,2,2,2,0,3,0,2,2,3,3,3,1,2,1,0,3,1,2,3,1,1,2,3,0,1,3,0,0,0,3,0,1,2,1,2,2,0,2,1,3,2,0,0,0,1,3,0,2,0,1,3,1,1,2,3,1,1,0,2,3,2,3,1,2,3,1,0,0,0,1,0,0,0,0,0,1,0,1,3,1,1,1,2,3,1,3,1,1,3,0,0,3,2,2,0,1,1,1,1,3,0,2,1,2,2,3,3,2,1,2,3,3,3,1,0,0,2,0,1,2,0,0,3,0,3,2,3,3,2,0,1,1,3,2,2,1,0,3,3,0,1,1,1,0,3,1,3,2,2,1,3,0,0,0,2,3,1,0,2,1,0,1,0,0,0,0,1,1,0,2,3,3,0,1,1,3,0,3,0,1,0,1,2,3,3,0,1,1,1,0,2,3,3,2,2,3,1,3,3,1,1,1,2,3,1,1,1,1,1,3,3,1,1,3,0,3,1,1,3,2,0,0,1,0,0,1,1,0,0,3,1,0,1,0,1,1,2,1,3,0,1,1,0,3,2,0,0,3,0,0,0,1,1,1,1,2,3,0,0,3,0,0,0,3,0,0,0,0,2,1,1,1,1,2,1,2,2,0,1,3,2,0,3,3,3,1,3,1,3,0,2,3,3,3,2,0,1,2,2,2,0,3,1,2,2,0,0,1,3,1,1,2,0,3,1,1,2,2,2,1,2,1,2,3,2,3,3,1,1,1,2,1,3,1,1,1,0,1,3,0,2,0,2,2,2,3,3,3,0,2,1,1,1,2,0,3,2,1,3,3,1,0,0,2,2,3,0,0,3,1,3,2,3,0,1,1,0,2,3,2,1,2,3,3,3,2,2,3,2,0,0,2,1,1,0,3,2,2,2,0,0,1,2,1,3,2,0,0,3,0,1,1,0,2,1,0,0,1,2,1,1,2,3,1,3,1,2,0,3,1,0,2,2,0,3,2,3,0,2,3,3,2,1,0,2,0,0,0,2,1,0,0,1,1,0,3,0,1,0,0,3,3,3,2,0,2,1,0,0,3,3,1,3,0,1,0,1,2,3,2,1,1,3,3,3,3,2,3,0,0,1,1,2,2,1,2,2,0,0,3,0,3,3,2,3,3,2,2,0,0,3,1,0,2,3,1,3,2,3,2,3,3,3,0,1,3,2,0,1,0,0,2,1,3,3,3,3,3,0,2,2,1,3,1]
[0,0,1,0,3,0,0,1,1,1,3,3,0,3,3,0,2,0,3,1,0,0,3,3,1,3,2,1,3,2,3,0,0,0,1,0,0,1,3,1,3,0,0,0,1,1,0,2,3,2,0,1,3,3,1,2,0,3,2,3,0,3,3,0,0,0,2,2,2,2,3,1,1,0,1,3,1,1,0,3,3,3,3,0,0,2,1,0,1,1,3,1,1,0,2,3,3,0,2,0,1,3,2,2,3,2,1,0,2,3,0,3,2,0,0,0,1,0,2,3,3,1,2,1,3,2,0,3,1,1,1,3,3,1,2,0,3,1,3,2,1,3,2,3,0,1,0,2,1,0,2,1,0,3,3,0,0,1,0,2,3,2,1,1,1,0,3,3,0,3,2,2,3,1,0,0,2,3,3,2,2,0,0,1,2,3,2,0,3,3,2,2,3,2,3,0,3,2,3,2,2,1,3,3,1,1,3,1,3,1,0,0,1,2,2,3,3,3,1,2,0,2,1,1,1,2,1,3,1,0,0,3,0,3,3,1,2,0,3,3,0,2,0,3,3,3,0,0,3,2,2,2,1,0,3,0,2,2,2,2,2,1,0,0,2,0,2,1,1,0,2,1,2,0,0,3,0,1,3,0,1,3,0,3,1,0,2,3,0,1,2,1,2,3,3,3,3,1,1,0,3,1,1,2,0,3,3,0,0,0,3,0,2,2,2,1,3,1,1,2,3,0,3,2,0,0,3,2,2,1,0,3,2,1,1,3,0,1,0,2,0,1,1,0,3,1,2,2,1,0,1,3,2,1,0,1,3,1,1,2,2,0,3,1,3,1,0,0,0,1,3,1,1,0,3,2,0,2,3,2,2,2,2,0,2,1,3,2,0,1,1,3,0,3,3,1,0,0,3,1,1,1,2,2,0,2,2,0,1,2,3,3,3,1,0,0,3,3,2,2,0,3,2,0,2,0,2,2,0,0,1,3,3,0,0,0,1,0,0,0,0,3,2,3,2,2,1,2,1,3,3,1,3,3,3,3,2,3,0,1,2,0,1,2,3,0,1,0,2,0,2,1,1,1,2,1,3,1,1,3,2,2,0,0,0,3,3,0,1,2,0,2,3,0,0,0,3,0,2,0,2,3,0,0,3,3,2,0,3,2,0,0,2,2,2,1,3,3,1,0,1,2,0,3,2,0,1,1,0,2,0,2,0,1,3,3,2,3,2,0,1,1,2,0,2,3,3,0,1,0,0,3,3,2,1,1,3,2,0,2,1,0,2,3,3,3,0,2,3,1,3,2,1,3,0,1,1,2,1,3,2,1,2,0,1,2,1,0,2,1,0,2,1,0,2,1,3,2,1,3]
[0,0,2,0,0,3,1,3,2,1,2,1,3,2,0,1,2,1,3,3,3,0,2,2,0,0,3,1,3,2,3,2,2,2,1,2,2,2,1,2,3,0,1,1,3,3,0,2,1,0,1,3,1,1,2,2,2,3,2,0,0,1,2,3,2,1,0,0,2,2,3,0,3,0,1,0,0,0,3,0,0,0,3,1,2,3,1,1,1,1,3,0,2,1,2,1,1,0,0,2,2,0,0,2,0,3,3,1,3,0,0,3,1,0,1,3,0,0,1,3,2,1,1,1,1,2,1,2,1,3,0,1,0,2,3,0,0,3,0,0,2,2,2,2,2,2,1,1,1,2,2,3,3,1,1,3,2,3,3,2,0,1,0,3,0,1,2,1,0,1,0,3,0,2,1,0,1,3,1,3,0,2,3,0,3,1,2,1,3,2,0,1,1,3,2,0,1,1,0,3,3,2,2,0,0,2,3,0,2,2,2,1,0,3,3,0,2,1,2,2,3,2,2,2,1,1,1,1,2,3,2,3,1,1,2,0,0,1,1,3,1,3,1,3,0,2,0,2,2,3,3,0,0,2,1,2,2,2,1,1,1,3,2,3,0,3,3,3,0,3,1,1,2,2,2,1,0,3,3,2,1,1,2,2,0,2,1,3,2,0,2,3,2,1,3,2,2,1,2,3,0,1,3,0,3,1,3,0,0,3,0,3,1,3,2,0,2,0,3,0,0,1,0,3,0,0,3,0,3,0,1,3,0,1,1,1,3,0,3,3,0,3,2,0,2,1,3,1,1,3,1,2,0,2,2,0,0,1,1,2,0,1,3,0,3,0,1,0,3,2,0,3,3,2,1,0,2,1,0,1,0,3,3,0,3,0,1,3,2,3,1,2,0,0,2,3,0,2,3,0,1,1,3,3,2,0,0,1,2,1,0,1,3,3,1,0,1,2,1,0,3,3,3,3,3,3,3,2,0,1,3,1,3,3,2,2,2,0,0,1,2,1,1,3,3,3,2,0,3,0,0,1,3,0,2,0,1,2,3,3,3,2,1,2,0,3,2,3,3,3,2,1,2,0,3,1,1,0,3,0,2,1,1,2,0,2,1,3,1,2,3,3,0,1,2,0,0,2,0,0,2,2,3,0,0,0,2,0,0,3,2,0,0,2,1,2,2,0,1,3,2,0,0,3,0,1,3,1,2,2,1,1,1,2,1,1,1,2,3,3,0,0,3,1,3,3,3,0,0,3,3,0,1,2,0,2,2,2,1,3,1,3,1,0,2,3,1,1,3,3,2,3,2,2,2,1,0,0,3,3,0,3,3,0,0,0,2,0,1,1,1,2,2,3,2,1,0,0,0,1]
[3,0,3,1,0,1,1,2,0,3,0,1,1,1,1,1,1,0,3,2,0,3,3,0,2,1,2,2,2,3,1,2,1,1,2,0,1,0,1,2,3,2,3,3,2,2,2,2,1,1,2,0,1,2,3,0,3,3,1,1,3,3,0,2,1,1,2,0,1,3,0,2,0,3,2,0,1,3,0,2,2,1,0,2,0,3,3,2,2,3,2,1,3,3,1,3,3,1,0,1,3,1,0,2,0,2,0,0,2,0,0,3,0,1,2,3,1,2,0,1,1,2,3,0,2,3,1,0,1,1,0,2,0,0,2,3,1,2,1,1,3,1,2,0,0,1,2,0,3,3,2,2,3,1,2,2,3,1,3,2,1,2,3,0,2,1,1,2,1,1,3,3,3,3,1,3,2,2,3,3,2,0,0,3,3,1,3,1,1,2,0,0,1,2,1,2,0,3,0,1,3,3,0,1,3,0,3,0,1,1,2,2,1,2,1,0,2,3,2,3,2,2,0,3,3,1,2,0,2,3,1,3,0,2,2,1,1,2,3,3,3,2,1,1,3,0,3,3,0,1,3,0,3,2,2,1,2,1,0,2,3,0,0,3,3,3,1,1,2,0,2,0,2,0,3,1,2,1,3,0,1,2,2,3,3,0,1,0,3,1,2,0,2,2,3,0,3,0,1,2,0,2,0,3,3,3,0,2,3,0,2,3,2,0,2,2,3,0,0,0,3,0,1,3,2,1,3,0,1,1,3,2,2,2,0,1,2,2,2,0,0,1,0,2,2,1,0,1,3,2,3,1,3,0,2,0,0,0,3,1,2,1,3,0,3,0,3,0,0,2,1,1,1,1,2,0,0,1,1,2,2,0,2,1,0,2,2,0,2,3,0,1,3,0,1,3,3,3,0,1,2,2,1,0,1,0,1,0,0,2,2,0,1,1,0,3,1,2,3,2,0,2,1,0,2,2,1,2,1,0,3,0,3,0,1,3,2,3,1,0,3,0,3,0,1,3,2,1,0,2,2,1,2,0,2,0,1,3,3,3,1,1,2,0,0,0,1,0,0,2,2,0,1,1,3,3,3,3,1,3,2,3,1,2,0,2,3,2,0,3,1,2,2,0,2,3,0,0,2,2,0,2,2,3,2,2,3,3,2,2,2,2,0,1,0,1,3,0,1,3,1,2,3,3,2,2,2,3,1,0,3,0,1,2,2,1,1,1,0,3,3,1,0,1,2,0,2,2,3,0,2,2,3,2,1,1,1,1,1,3,0,2,1,1,0,1,1,1,2,1,0,1,3,0,0,1,2,2,1,3,2,1,2,0,0,3,3,0,1,1,2,3,0,3,0,3,2,0,1,0]
[2,0,0,0,3,0,0,1,3,0,1,0,3,0,3,3,3,2,0,2,3,0,3,3,1,3,2,2,2,2,3,2,3,3,2,1,3,2,2,1,1,0,3,3,1,1,1,0,2,1,2,1,3,2,0,3,2,1,0,3,2,0,2,0,3,2,0,2,3,1,1,0,0,0,2,1,1,3,0,2,3,1,2,1,0,0,3,1,1,2,0,2,3,2,3,1,3,0,0,3,0,2,3,0,1,2,0,1,3,0,0,3,2,1,1,1,3,2,0,2,0,2,0,2,1,2,3,3,0,2,1,3,1,1,3,1,2,3,0,2,0,2,2,3,0,2,0,0,3,2,1,2,2,3,0,2,2,2,3,0,2,1,2,2,1,3,0,0,2,0,2,3,2,0,3,2,1,1,0,2,1,2,2,3,3,3,3,0,2,0,2,0,3,2,2,2,3,2,0,3,1,2,3,0,0,3,3,2,1,2,2,1,3,1,3,0,1,1,1,1,1,1,2,3,0,3,2,3,0,3,3,3,2,0,1,0,3,3,1,1,1,1,2,2,3,2,3,2,2,0,1,1,1,2,3,0,3,2,1,1,1,0,0,3,1,0,0,1,0,1,2,3,2,2,3,3,2,3,1,0,0,0,1,0,3,3,1,2,0,1,3,3,0,0,3,1,1,0,2,3,0,3,3,2,2,3,3,3,3,2,2,3,3,2,2,2,0,2,1,3,1,3,1,2,3,2,2,2,2,1,0,2,3,3,0,2,2,2,0,2,1,0,3,1,1,2,1,0,0,3,2,2,2,0,3,3,2,1,3,1,3,2,3,3,3,1,0,3,2,3,1,2,2,0,2,2,0,1,3,3,3,2,1,3,1,1,2,1,0,3,0,1,1,2,1,1,0,0,2,0,1,0,3,0,2,1,3,1,1,0,3,1,0,2,2,2,0,3,3,0,2,1,2,0,1,2,0,1,0,0,0,1,3,3,1,1,1,2,0,2,0,1,0,2,3,3,0,3,2,2,2,3,0,3,0,1,0,3,3,1,1,1,2,2,1,1,0,2,2,2,2,0,2,3,3,0,2,3,2,2,1,2,2,0,0,0,1,1,3,2,1,2,2,2,3,3,3,3,0,1,3,2,3,3,0,2,0,2,1,3,0,1,0,0,1,1,2,3,2,3,3,0,3,2,2,0,3,3,3,1,2,3,0,3,0,2,0,1,3,0,3,3,2,1,0,1,2,0,1,0,0,0,3,0,2,0,2,3,1,1,2,0,1,3,3,1,3,0,3,2,3,3,1,3,2,2,1,3,3,0,3,1,3,2,3,2,0,0,2,1,3,1,0,3,1,1,1,2,3,0]
[0,3,2,2,3,0,3,1,3,1,1,1,0,3,0,3,2,0,2,1,2,2,0,2,3,2,2,0,2,2,3,3,1,1,3,3,3,3,2,0,3,1,2,2,1,0,1,2,3,2,2,3,3,0,0,1,2,0,2,1,2,1,3,3,3,2,0,1,3,0,3,3,3,3,3,1,3,1,2,1,1,2,0,2,2,3,2,2,1,2,3,0,1,0,3,3,3,0,3,3,3,2,0,3,3,3,2,2,0,3,3,2,2,0,2,1,1,2,3,1,3,1,2,2,1,3,3,3,1,0,2,2,3,3,2,1,0,2,0,1,3,2,3,2,0,3,0,3,1,0,3,3,3,3,3,2,0,2,0,3,3,3,2,1,1,0,2,2,2,2,0,1,0,2,0,1,1,0,1,3,1,1,0,1,2,3,1,2,1,1,3,0,2,0,1,0,2,1,2,0,2,1,0,2,2,1,2,2,3,1,3,2,1,0,0,1,2,2,1,1,1,0,3,0,3,3,1,1,0,2,1,1,0,1,2,3,0,1,0,2,3,0,0,3,1,1,3,0,3,2,1,1,2,0,1,1,3,0,3,2,3,3,0,0,2,1,1,3,3,0,3,3,3,3,0,0,3,3,1,2,2,0,0,1,0,3,0,1,0,3,3,0,3,0,3,3,0,0,0,3,0,2,0,0,3,0,0,3,3,2,3,2,1,0,0,3,3,3,3,0,1,1,1,0,2,2,3,1,1,1,2,3,0,1,3,3,2,0,3,1,0,1,3,0,3,3,1,3,1,1,0,2,0,3,2,0,1,3,3,2,2,2,0,1,0,3,0,0,1,3,2,2,0,2,3,1,0,0,3,2,2,0,0,1,1,0,1,3,2,1,0,1,3,2,2,2,3,1,3,1,1,0,2,2,3,3,1,2,3,2,0,1,0,0,0,1,0,1,3,3,3,0,3,0,0,0,1,2,3,0,0,3,1,0,2,1,3,0,0,3,2,2,2,3,0,1,3,2,2,3,3,0,1,0,1,2,1,0,0,0,0,2,0,3,0,1,2,1,1,1,3,1,3,3,1,3,2,2,0,3,2,0,2,1,2,1,3,1,1,3,2,0,1,0,2,0,1,1,3,2,0,1,2,0,1,2,1,1,2,3,3,1,2,1,0,0,0,1,0,3,0,1,1,0,0,0,1,2,3,3,2,0,1,1,3,1,0,3,2,3,2,0,3,3,0,3,3,1,2,3,1,0,3,3,2,3,0,0,2,3,2,0,3,1,0,1,1,1,3,2,1,3,0,0,3,1,0,0,3,0,0,3,2,2,3,1,1,2,2,0,2,2,0,1,2,1,2,1,2,3]
[0,3,3,0,0,2,0,0,0,2,1,0,1,3,2,0,1,3,2,2,3,0,1,1,1,0,1,3,0,1,0,2,1,3,0,0,1,2,3,1,3,3,2,0,0,2,2,2,2,2,2,1,1,1,3,0,2,2,3,0,3,0,3,1,3,0,1,3,2,0,0,1,2,0,1,2,3,2,0,3,1,2,3,0,3,3,2,2,3,0,1,3,2,3,1,3,1,1,0,3,1,3,2,0,0,1,0,0,0,1,3,3,2,1,0,2,1,1,2,2,3,2,1,3,0,0,3,3,2,1,1,2,1,0,0,3,1,3,0,0,0,1,1,2,2,1,0,0,2,1,0,1,3,1,0,3,1,0,2,2,1,2,3,0,1,1,3,0,0,3,1,2,3,0,3,1,1,3,3,0,2,0,2,0,2,2,2,0,3,0,2,1,0,2,2,3,1,0,3,1,1,3,3,3,1,2,3,3,0,3,1,0,1,1,3,1,3,1,2,1,2,1,2,1,2,0,3,0,3,0,2,3,3,1,1,3,0,0,3,2,0,2,0,3,0,2,3,3,1,2,0,3,1,1,3,1,0,2,2,2,2,0,0,0,0,2,1,3,3,2,0,2,0,1,1,1,2,1,0,1,3,2,0,1,0,2,0,0,2,1,2,2,0,1,0,0,0,3,3,1,1,1,1,1,2,0,2,3,2,2,3,1,3,3,1,3,1,1,3,3,3,3,2,0,0,2,3,2,3,0,3,1,0,3,1,3,3,0,1,3,3,1,3,3,0,1,3,0,3,0,3,3,0,1,1,0,0,2,2,1,0,2,2,1,2,3,3,2,1,1,3,3,0,3,3,2,0,3,0,2,3,3,0,3,0,1,3,1,1,2,2,3,2,2,0,2,0,0,0,3,0,1,1,0,2,3,0,0,0,2,3,2,1,2,2,2,3,1,3,0,0,0,0,2,3,0,1,1,1,1,0,3,0,0,1,2,3,3,3,2,1,0,0,2,1,1,3,2,0,2,2,0,1,0,1,0,0,1,2,2,0,3,1,1,1,0,3,3,3,3,0,2,3,1,0,2,3,0,0,3,1,0,0,2,0,2,0,2,0,2,1,1,1,2,0,0,2,1,3,2,0,2,0,3,2,1,1,1,1,2,1,3,1,3,0,1,2,3,3,2,0,0,3,1,2,3,0,3,3,1,2,0,0,1,1,2,2,1,0,3,2,2,0,2,0,2,3,2,2,3,2,2,0,2,0,3,0,2,1,3,0,2,0,2,2,1,1,3,1,0,1,2,3,1,2,0,2,2,3,0,3,0,2,0,2,3,1,1,0,2,0,3,3,1,0,0,2,1,2,3]
[0,1,1,2,1,1,2,2,3,1,2,1,1,1,2,2,3,1,1,2,0,0,3,0,1,1,2,3,3,2,0,1,2,0,1,2,1,2,3,2,2,3,3,2,2,0,0,0,2,1,1,2,3,1,2,3,0,0,2,1,0,3,0,3,2,1,3,1,3,2,2,1,2,2,2,2,1,3,3,0,1,0,3,3,3,1,0,3,1,1,3,2,2,3,1,1,0,0,2,3,1,2,2,0,1,3,0,2,0,2,0,3,2,2,2,0,1,0,0,3,1,1,1,3,2,2,3,1,3,1,0,1,1,1,3,1,0,3,2,3,0,3,0,2,3,2,0,2,2,3,1,0,3,1,2,2,0,2,3,1,2,3,3,1,2,3,3,2,0,3,2,1,3,1,1,2,1,3,2,0,1,0,2,0,1,1,0,2,1,0,1,2,1,2,1,0,2,3,0,2,2,2,0,2,1,1,0,1,3,2,2,2,3,1,0,3,0,1,2,1,0,0,2,3,0,1,3,3,0,1,1,0,3,1,0,3,1,0,2,0,3,0,2,3,1,3,1,0,1,1,2,1,1,1,3,0,2,1,1,2,3,2,0,3,0,2,1,0,2,2,3,0,3,1,1,2,0,3,1,2,3,1,2,1,3,0,1,1,0,3,0,0,0,0,2,2,1,0,0,1,0,3,0,3,2,2,2,2,0,1,0,1,0,3,2,1,0,2,3,3,1,1,3,2,1,1,1,2,0,2,0,1,0,3,1,1,0,0,3,3,3,2,2,2,1,2,2,2,0,2,0,0,2,3,1,1,2,0,2,2,0,0,3,1,0,0,1,0,0,3,2,2,3,2,1,1,2,3,1,0,0,0,1,2,1,2,2,0,1,3,2,3,0,1,2,2,1,0,2,2,2,3,0,3,0,3,0,0,3,3,2,1,1,0,3,2,1,1,3,3,2,2,0,2,3,0,1,2,2,0,0,2,0,1,0,2,2,1,1,3,1,1,3,3,0,0,3,1,2,0,1,0,1,0,1,1,2,2,2,3,0,0,2,0,0,0,2,0,3,3,0,3,3,3,2,0,2,3,0,3,1,2,2,0,0,3,1,2,1,0,1,1,2,1,0,1,2,2,2,0,0,0,3,2,1,3,3,3,2,0,2,3,0,2,3,1,1,3,2,2,3,3,1,1,0,1,3,1,1,1,0,3,3,1,0,1,3,0,1,1,0,1,2,1,3,0,2,0,1,0,3,3,0,3,3,2,0,3,0,2,1,1,1,3,3,3,2,3,3,3,2,1,3,1,3,0,0,2,3,1,3,2,3,0,1,1,0,0,0,1,2,2,3,0,0,3,3,2,0,2]
[3,3,3,0,3,3,3,0,3,1,1,1,0,2,2,3,2,3,0,3,1,1,1,2,0,3,2,2,2,0,0,3,2,2,2,0,2,3,1,0,3,2,1,2,3,3,2,2,0,1,0,2,3,1,2,1,1,0,1,3,2,2,2,2,1,2,3,0,3,1,1,2,2,0,1,1,0,0,2,2,2,2,2,0,0,1,3,1,3,3,3,1,3,3,0,0,0,2,0,2,2,0,3,2,3,3,2,0,2,0,0,3,1,0,0,0,1,1,2,2,0,0,1,3,1,2,2,1,3,2,3,0,2,0,1,3,2,2,0,2,3,2,1,2,3,1,1,2,0,2,1,3,0,0,1,3,0,0,1,3,3,1,1,0,2,2,1,3,3,2,2,3,1,1,2,3,0,1,2,0,3,2,0,0,2,0,1,0,2,0,0,1,2,1,2,2,1,1,0,0,0,1,3,2,3,2,3,0,0,0,3,3,3,2,1,3,2,3,3,2,1,3,3,1,1,1,1,1,1,3,2,3,0,2,0,2,2,2,1,0,1,1,1,0,2,2,3,1,3,3,0,2,0,3,3,3,3,0,1,2,3,1,0,1,1,0,3,1,1,0,1,1,3,2,2,2,1,2,3,2,2,2,1,1,3,2,1,1,0,2,1,1,1,0,0,3,3,1,2,2,3,0,2,1,1,2,3,0,2,2,1,3,1,2,3,1,0,0,0,1,3,1,0,3,0,2,3,0,0,2,3,2,0,1,0,1,1,2,1,0,1,1,2,2,3,0,2,1,3,3,2,2,2,1,0,2,1,3,1,1,1,1,0,0,0,0,0,0,2,3,0,1,0,3,0,3,2,1,1,0,3,3,3,0,2,3,2,3,1,1,3,3,0,3,3,2,3,0,3,2,0,1,0,0,2,2,2,1,1,1,3,2,1,1,0,1,3,0,0,0,1,2,2,2,1,1,2,1,0,3,2,0,3,1,0,2,0,3,2,1,1,2,2,3,2,3,1,2,2,2,0,2,2,1,1,0,1,3,0,2,0,1,1,3,3,0,1,1,3,2,3,2,1,1,0,3,1,3,2,1,1,2,0,3,0,1,0,2,0,2,1,3,2,3,2,0,3,0,3,2,0,2,3,1,0,2,2,3,1,3,2,1,3,0,3,3,2,0,2,3,3,1,0,2,1,3,2,0,1,2,1,0,0,0,2,2,0,0,0,0,1,0,3,2,3,2,2,0,2,1,0,2,0,1,0,2,0,1,1,0,3,3,1,0,2,2,3,3,0,3,1,3,1,2,3,3,3,2,0,0,2,3,3,3,1,1,1,0,0,0,3,2,1,2,0,0,0,1,2,3]
[2,0,1,3,2,2,1,1,2,2,1,0,2,2,2,1,0,0,0,2,0,2,2,1,2,3,3,1,2,3,3,0,3,0,1,2,1,3,3,1,3,1,2,0,3,3,2,1,0,3,1,0,3,3,3,1,2,1,3,0,3,0,0,1,1,3,2,1,3,3,3,3,1,2,2,1,3,2,1,2,3,2,2,0,0,0,2,3,3,0,3,3,1,1,2,2,3,2,3,0,1,3,2,0,3,1,0,1,2,2,2,2,1,0,0,3,3,1,0,2,0,3,1,1,2,3,0,3,0,3,3,3,0,2,1,1,0,0,0,3,0,2,2,2,1,3,3,3,0,2,0,2,3,3,2,2,0,2,3,0,2,2,1,2,0,2,3,3,1,1,1,1,3,1,3,0,1,3,1,0,0,2,0,1,3,1,3,2,1,3,3,2,0,0,2,3,0,2,2,1,2,0,0,3,0,2,1,2,1,1,2,0,3,2,1,0,3,1,1,1,0,3,2,2,3,1,3,1,2,0,0,0,3,3,0,2,1,2,1,1,3,1,1,2,2,1,2,1,2,2,3,0,3,3,0,2,1,3,1,1,0,1,0,2,2,1,1,1,1,0,2,2,0,0,1,1,3,2,1,1,2,0,2,3,3,1,2,1,2,3,3,0,2,3,3,2,3,1,1,1,2,0,3,3,3,0,1,1,1,2,0,0,1,3,3,1,3,3,1,3,0,1,2,3,0,2,2,3,2,2,1,3,0,3,2,1,2,0,2,2,1,2,3,1,2,3,2,1,0,1,2,0,3,1,2,3,2,3,0,3,2,3,3,0,1,0,0,0,2,0,1,3,0,1,1,2,2,0,3,3,0,1,3,3,3,3,0,3,2,3,3,2,3,0,0,3,2,1,3,2,0,3,2,2,0,0,0,2,1,2,2,0,0,0,0,1,1,0,1,2,2,3,3,1,0,0,1,1,2,3,0,2,3,1,3,3,1,0,0,2,0,1,2,2,3,0,3,3,2,2,1,1,1,2,2,1,3,1,2,0,0,1,1,0,3,2,3,0,1,1,1,0,2,1,3,0,1,0,3,1,1,3,1,2,0,2,2,2,0,1,0,1,3,0,3,2,2,3,2,2,2,2,1,1,1,3,0,1,1,2,2,3,3,1,0,0,3,0,0,3,3,2,3,2,3,1,0,0,2,1,0,0,1,3,2,2,3,2,3,0,3,2,1,3,0,0,1,1,2,1,2,1,0,0,1,1,1,3,0,2,1,0,1,3,1,3,3,0,3,3,1,3,1,0,2,3,1,1,1,3,1,1,1,2,3,1,1,0,1,1,1,0,1,0,1,2,1,3,0,2]
[0,0,3,1,3,1,3,1,3,1,1,3,0,3,3,3,0,2,3,3,1,3,0,1,2,0,1,1,1,3,2,2,3,2,2,2,3,2,0,1,3,0,1,1,0,3,0,2,0,2,1,0,3,1,2,1,2,0,1,1,0,0,0,2,3,2,2,1,3,0,1,2,3,2,1,3,0,2,0,2,3,3,0,2,3,3,0,3,1,1,3,2,2,2,0,2,1,0,3,0,1,0,3,2,0,3,3,1,1,2,0,2,0,2,1,2,0,0,2,2,0,1,2,1,0,2,1,2,1,2,2,2,0,3,3,0,2,3,2,1,1,3,1,3,1,2,3,3,3,2,0,0,0,2,3,3,3,1,2,2,1,2,2,3,0,2,0,3,0,2,2,2,0,1,1,1,2,0,2,0,0,1,0,0,0,2,3,2,3,1,2,1,2,0,0,0,2,0,0,2,3,3,2,3,0,1,1,1,3,1,0,1,3,0,1,0,2,1,2,0,1,3,3,2,3,3,0,2,2,0,0,1,2,3,2,1,2,2,0,1,0,1,3,0,2,0,2,0,0,3,0,3,3,1,2,0,1,1,2,1,2,2,1,1,1,2,1,3,2,0,0,1,1,2,2,2,2,2,3,2,2,2,0,1,2,0,2,1,0,3,2,1,3,2,2,3,3,0,0,3,1,0,1,0,2,1,3,0,2,2,3,0,2,0,3,2,1,3,2,3,1,0,2,1,3,3,1,1,2,1,2,3,1,1,2,2,1,1,1,2,2,0,0,2,1,3,2,1,1,2,1,2,2,0,1,2,0,3,3,3,2,1,0,0,2,1,0,3,0,2,2,1,1,0,1,0,0,1,2,0,3,2,1,2,0,1,0,1,3,3,0,2,1,3,0,0,2,3,2,0,2,0,3,0,1,0,0,0,1,0,1,0,0,3,3,1,3,0,0,0,3,2,2,0,0,2,3,1,2,2,3,0,3,2,3,1,2,0,3,0,3,3,3,0,3,0,0,3,1,1,3,0,0,2,2,3,3,2,0,2,3,2,2,3,3,2,3,3,3,1,2,1,0,2,3,0,1,1,1,2,0,0,1,1,2,3,3,2,3,0,1,2,1,3,1,0,0,3,1,2,1,2,3,3,2,1,0,2,3,2,3,2,1,0,1,2,1,1,0,1,0,1,0,1,0,2,2,1,3,0,0,3,1,3,2,3,0,2,1,1,2,2,3,1,1,1,3,1,3,0,1,1,1,3,3,1,3,3,0,3,3,0,3,0,0,0,2,3,1,3,3,1,1,2,1,1,2,1,2,0,2,0,0,0,0,2,1,3,3,0,1,0,3,1,2,0,0,2,0,2]
[2,3,0,3,2,2,0,3,1,2,1,1,3,1,0,1,0,2,3,0,1,2,0,1,0,3,3,1,2,1,3,2,0,1,1,3,2,1,3,3,0,3,3,0,0,3,3,1,1,3,3,1,3,3,1,2,3,2,2,2,0,2,3,1,2,2,2,2,1,0,3,1,3,1,3,3,0,0,2,2,3,3,1,1,1,1,2,3,0,0,3,3,2,1,3,1,1,2,3,3,0,2,2,2,3,1,3,0,2,1,2,0,3,3,0,0,1,2,1,3,1,1,1,0,3,3,3,2,2,3,1,0,1,3,3,2,2,2,0,0,3,1,2,3,3,0,1,1,3,1,2,1,0,0,3,3,3,2,3,2,0,1,3,1,3,2,3,3,0,0,0,2,0,3,1,1,2,0,2,0,2,1,2,3,0,3,3,1,0,0,1,0,2,0,0,3,1,3,2,3,3,0,3,3,2,0,3,0,2,0,3,1,2,0,1,1,3,2,0,1,1,0,2,1,2,2,3,1,1,1,0,2,3,1,1,3,0,1,0,2,0,0,2,1,3,1,3,0,0,3,3,2,0,2,0,0,3,1,3,0,0,0,0,2,3,1,2,1,3,3,3,3,0,1,1,2,3,0,0,1,3,1,3,1,3,0,2,1,2,0,0,1,2,2,3,2,1,3,1,3,1,2,2,1,0,1,2,2,1,3,2,2,0,2,0,3,2,1,1,3,3,0,1,1,2,2,2,1,1,2,3,0,0,0,2,2,3,2,1,1,2,2,0,3,0,0,3,0,0,2,0,2,2,0,2,3,1,2,0,3,1,0,2,0,2,3,3,2,2,2,3,0,2,1,3,1,1,3,2,0,1,3,0,1,0,1,0,0,1,1,0,1,1,2,0,0,1,1,2,2,3,2,0,1,3,2,2,0,2,2,2,2,1,0,2,2,2,2,0,1,3,3,0,0,0,1,0,3,3,2,3,3,3,3,1,2,1,1,2,0,1,1,0,0,2,0,3,2,1,1,0,1,1,1,0,0,2,0,1,1,2,2,3,2,2,0,3,2,3,0,2,0,0,0,0,1,0,2,1,3,1,3,3,0,2,0,0,1,0,2,0,1,1,1,0,0,0,3,0,0,2,1,3,3,2,2,1,2,0,0,1,0,2,1,3,1,3,0,1,3,2,0,1,2,2,3,0,3,2,0,3,3,3,2,2,2,1,2,3,0,1,1,0,1,3,1,3,2,3,2,2,3,2,3,1,3,1,3,0,2,2,2,2,2,0,0,2,0,0,0,0,2,2,0,1,0,0,1,3,1,1,2,3,2,1,2,1,1,0,3,0,0,2,2,0,3,3,0,3,3]
[3,3,0,3,3,3,0,1,2,3,1,0,2,0,3,0,0,1,0,1,1,2,0,0,3,1,2,1,0,1,0,0,0,0,3,0,2,3,2,2,3,1,1,2,0,3,2,2,1,3,2,3,0,3,1,3,3,2,3,0,3,1,3,0,2,1,3,0,1,3,1,3,0,3,1,3,1,1,2,2,0,3,2,0,2,3,1,0,2,2,3,0,3,3,1,0,1,1,2,2,1,1,3,0,3,1,1,3,1,1,0,0,1,3,0,0,0,2,2,3,3,1,2,1,0,0,0,1,0,1,3,0,0,0,3,0,1,3,3,1,3,2,3,3,2,3,3,1,0,0,0,3,1,3,1,0,2,3,0,3,3,2,0,0,0,0,1,3,0,1,1,1,3,0,0,2,1,3,0,0,2,2,0,3,2,0,2,2,1,3,0,2,0,1,2,0,3,2,1,3,2,2,0,1,0,0,0,0,1,2,0,0,2,0,3,1,1,1,0,2,3,3,3,1,1,1,1,1,1,3,0,3,1,3,2,0,1,1,2,1,3,3,3,0,3,3,1,0,3,3,1,3,1,2,0,2,2,2,3,1,2,0,2,2,1,2,2,0,1,1,0,0,0,2,3,1,0,1,0,1,0,2,0,1,1,1,0,0,3,1,2,1,2,3,2,3,3,2,3,1,3,1,0,0,0,1,3,3,0,3,0,2,3,1,3,0,2,0,2,2,3,3,1,3,0,3,3,1,3,2,3,1,3,2,1,0,2,3,0,1,1,3,3,0,3,2,1,3,1,2,3,1,1,3,0,1,2,0,0,2,0,0,2,3,3,3,1,0,1,1,2,1,0,3,1,2,1,0,1,1,3,3,3,2,1,1,1,1,2,0,3,1,1,1,3,0,1,1,0,1,1,3,1,2,3,3,0,3,3,3,2,3,1,0,1,0,3,1,0,1,1,1,1,0,3,2,3,3,1,0,2,3,3,0,2,2,0,2,0,2,3,0,0,0,1,3,0,1,0,0,0,3,1,1,2,1,2,1,0,0,0,0,3,3,0,3,2,3,2,0,3,1,0,1,3,3,0,1,0,1,0,2,1,0,0,2,3,0,1,2,3,1,2,0,2,3,1,1,2,3,3,3,3,2,0,3,1,2,2,3,1,0,1,1,1,3,2,3,2,2,3,3,3,1,2,0,3,1,3,3,3,1,2,0,1,3,1,3,3,2,0,0,3,2,0,3,3,1,1,1,1,1,3,3,3,0,0,0,2,1,3,0,0,2,0,0,3,3,0,1,0,0,2,0,0,2,1,0,0,3,2,2,0,1,2,1,3,1,3,0,1,2,0,3,0,2,0,1,1,0]
[1,2,2,3,2,2,2,2,2,0,1,1,2,1,0,2,2,2,1,2,0,0,3,0,0,1,2,2,1,3,0,1,0,0,2,1,0,1,1,1,2,2,2,3,2,2,3,3,3,1,3,3,0,1,3,3,1,0,1,2,3,1,1,2,1,0,0,2,3,1,0,0,2,1,1,1,2,0,3,3,1,3,1,1,1,3,1,1,1,0,0,3,1,3,1,3,0,1,1,2,0,1,1,0,0,2,3,1,2,0,2,2,3,3,0,1,0,2,3,1,1,1,1,3,3,2,0,1,1,1,0,2,3,0,0,2,3,2,1,2,3,0,1,3,3,1,0,0,3,2,3,2,3,2,3,1,2,1,3,0,1,2,3,0,0,3,3,3,3,0,1,0,0,1,0,0,3,1,2,3,2,2,0,1,2,0,2,1,3,2,3,1,0,0,3,2,3,3,3,1,0,3,2,2,2,2,0,2,3,0,3,3,3,2,1,3,3,1,1,3,3,2,1,0,0,2,3,3,3,0,0,3,3,0,1,3,0,0,1,1,2,3,2,2,2,1,3,3,3,1,0,1,3,3,3,2,3,1,2,2,2,0,1,3,1,0,3,2,1,2,0,2,3,2,1,2,0,1,3,0,2,3,2,0,3,3,3,0,2,2,1,3,3,3,3,2,1,2,3,0,0,0,2,2,2,3,1,3,1,3,0,3,0,1,2,0,3,2,2,1,0,0,1,2,1,0,1,2,3,3,0,2,3,1,1,3,1,1,1,1,0,1,0,3,3,1,1,1,1,1,1,3,1,2,1,0,1,3,2,0,1,2,0,2,0,0,1,3,3,3,2,2,2,2,2,2,2,1,1,3,3,2,2,1,2,3,2,3,0,1,2,1,3,2,3,3,3,3,0,1,2,1,0,0,3,1,3,0,2,0,2,0,3,0,3,3,0,1,1,1,1,0,2,1,2,1,0,3,2,3,3,0,1,1,3,2,0,1,3,2,0,2,0,3,3,3,3,0,2,2,3,2,2,3,0,3,1,2,0,3,1,0,2,1,3,1,2,1,0,0,2,3,1,0,3,2,0,3,2,0,0,2,1,2,1,1,2,2,1,0,1,0,0,3,2,3,2,2,1,2,1,2,0,1,1,3,0,0,0,2,0,3,3,0,3,1,0,1,3,2,2,2,0,3,2,3,0,1,2,2,1,2,2,1,1,0,0,0,2,0,2,3,1,3,0,2,3,3,2,3,2,3,2,1,0,1,3,1,1,2,1,0,3,0,1,0,3,1,3,0,0,2,2,3,2,2,3,0,1,1,2,1,3,3,2,0,2,0,2,1,3,2,2,3,2,3,1,1,1,1]
[3,3,1,1,0,3,0,3,3,3,3,1,0,0,3,2,1,1,3,0,1,3,2,2,1,3,2,1,0,3,2,0,1,2,3,3,2,3,2,0,2,3,2,3,2,3,1,1,3,2,2,2,2,1,3,2,0,2,0,3,3,1,1,1,2,3,2,0,2,3,2,0,2,1,3,3,2,3,1,2,1,3,2,1,0,2,3,2,1,0,0,0,0,2,1,3,0,2,0,1,3,0,3,0,0,2,2,3,2,0,2,1,2,2,1,3,0,3,1,1,0,2,3,1,3,1,2,3,2,0,3,3,2,2,2,3,1,3,3,2,1,0,0,2,2,3,1,1,0,2,0,3,2,3,0,1,1,1,0,0,1,1,1,1,3,3,1,2,3,3,2,3,2,0,0,3,2,1,3,0,2,1,1,0,0,3,1,2,2,0,3,2,2,0,1,0,2,2,2,1,2,1,1,1,2,0,0,1,0,0,3,0,3,1,0,0,0,0,3,3,3,0,3,2,0,3,3,0,3,1,1,3,0,0,2,3,2,2,1,0,3,2,0,3,2,0,2,1,1,3,2,0,0,0,2,3,2,2,1,3,3,1,3,0,1,3,3,3,2,1,3,0,1,2,2,0,0,3,2,1,2,3,1,1,2,0,3,2,0,2,1,2,3,3,0,1,2,1,3,0,1,3,0,3,1,2,1,0,3,2,2,3,1,3,2,0,0,3,0,1,1,0,1,2,3,3,1,1,0,1,2,1,2,3,1,1,1,3,2,1,2,1,3,2,0,2,0,1,2,2,3,1,2,0,3,3,2,2,3,1,2,3,3,1,1,1,1,1,0,2,3,3,1,1,2,1,1,0,2,0,3,0,0,0,3,1,2,2,0,3,2,1,1,3,0,1,0,1,2,0,2,0,3,1,3,3,2,3,2,3,1,2,0,2,1,3,2,1,0,3,3,2,3,3,3,0,1,0,2,0,3,3,0,2,1,0,1,0,1,2,1,1,0,3,0,3,3,3,3,3,1,0,2,1,2,0,3,0,3,2,1,1,2,2,0,3,3,1,0,1,1,0,3,1,3,3,2,2,0,1,1,1,1,2,3,2,2,1,2,1,2,2,2,0,3,1,1,1,2,1,2,3,1,1,3,0,2,2,2,2,3,0,3,2,2,2,3,1,1,0,3,2,2,2,1,1,1,1,3,3,3,3,2,1,0,1,0,1,1,1,3,3,2,3,0,0,0,2,0,2,2,1,2,2,0,1,2,0,3,0,3,3,2,1,2,2,2,0,1,3,1,1,1,3,3,0,1,1,1,2,3,1,3,2,1,3,3,2,0,1,1,0,2,2,0,2,0,1,3,1]
[0,3,1,1,0,0,1,1,0,2,3,2,3,1,1,2,0,3,0,2,1,3,2,3,2,0,0,3,1,0,0,1,1,2,1,3,3,1,1,0,0,3,0,0,1,2,0,1,0,3,3,1,1,3,2,0,1,2,1,2,0,2,3,3,2,1,0,2,3,1,0,0,3,1,0,3,0,2,0,0,3,1,1,3,0,3,3,3,3,3,1,0,0,3,2,1,1,0,0,0,0,0,1,0,1,3,1,0,3,3,2,0,2,0,3,3,1,1,1,2,1,2,0,0,0,3,3,3,2,3,0,2,0,3,1,0,2,3,3,2,2,0,0,1,2,0,1,1,0,1,2,0,2,3,0,1,2,1,1,1,0,1,2,2,0,0,3,3,2,0,0,1,0,1,0,3,0,0,2,1,0,0,3,2,3,1,0,2,1,3,0,1,3,0,0,2,3,3,0,0,0,0,3,0,1,0,0,1,2,2,1,2,1,0,3,2,0,1,2,2,1,1,3,3,3,1,0,1,3,2,2,3,3,3,3,1,1,2,2,1,1,3,1,0,1,0,2,1,1,3,2,1,2,1,2,0,2,1,0,1,3,2,1,0,3,3,3,1,0,1,2,2,3,3,0,2,3,0,0,0,3,1,1,2,3,1,1,2,3,2,0,2,1,3,2,1,2,0,1,1,3,3,1,3,2,2,1,0,3,1,1,1,2,1,0,1,3,1,2,1,0,3,1,0,3,2,1,2,0,0,2,2,0,3,0,2,2,0,3,2,1,2,2,1,2,2,3,1,1,0,1,3,2,0,1,2,2,3,3,0,3,3,0,0,3,0,3,2,1,1,1,3,0,2,0,2,3,1,2,1,2,2,2,0,2,0,2,0,1,3,1,2,3,0,1,0,3,3,2,1,3,1,2,2,3,1,1,3,0,2,3,2,0,2,0,0,1,0,0,1,2,3,3,3,3,0,2,3,3,3,2,1,0,1,3,3,3,2,3,0,3,2,3,0,0,3,2,3,3,1,0,3,1,3,1,3,1,2,3,1,2,1,0,3,2,0,0,1,0,1,1,3,2,3,1,2,1,2,0,3,0,3,1,2,3,0,1,1,0,0,3,1,2,2,1,3,1,2,2,0,0,3,2,2,3,0,3,3,1,1,2,2,2,1,3,2,3,0,1,3,1,0,2,2,1,3,1,0,2,3,2,1,1,2,1,0,1,1,1,1,3,0,3,0,3,3,0,1,2,0,1,1,0,0,1,1,3,0,0,0,1,2,3,0,3,1,3,3,1,1,0,3,0,3,3,3,1,0,2,1,2,0,0,3,0,3,3,3,3,2,0,1,1,3,1,2,3,0,0,2]
[2,2,2,1,3,2,3,2,3,0,2,3,0,0,1,3,1,1,1,2,3,1,0,0,2,3,2,2,3,0,1,2,1,1,1,0,1,1,0,1,3,1,1,1,1,1,1,1,0,1,0,0,1,3,3,1,1,1,1,3,3,1,2,1,2,2,1,3,1,3,0,1,3,0,2,1,1,3,0,2,2,1,0,1,2,1,2,3,0,1,3,0,3,0,0,2,0,0,0,3,1,2,3,1,3,2,1,0,3,1,1,2,2,1,3,2,3,1,1,0,2,3,0,2,2,2,3,0,0,2,0,2,2,2,2,3,0,1,1,0,3,2,2,3,1,0,2,1,1,2,3,3,0,2,2,1,1,2,2,2,2,2,2,1,0,0,0,3,2,3,1,3,0,0,3,1,2,2,2,3,3,1,2,0,2,2,0,1,1,0,1,3,1,2,3,3,0,3,1,0,2,0,1,2,0,0,1,2,3,2,3,3,1,3,0,1,3,1,2,3,3,3,0,1,2,0,3,0,1,3,2,2,0,0,2,2,0,0,2,3,0,0,3,3,3,2,0,2,2,3,3,2,3,1,0,3,1,2,1,3,0,1,0,2,2,1,2,3,2,3,0,0,1,2,0,3,0,3,1,3,2,2,1,2,0,0,2,3,2,3,3,0,0,2,2,0,1,0,1,2,0,2,1,1,1,0,0,2,1,1,0,3,3,2,0,0,3,2,1,0,0,2,2,2,1,0,3,2,2,1,1,2,1,1,3,1,1,2,1,3,0,3,3,3,0,2,3,2,1,0,0,2,0,0,2,1,1,0,3,1,0,0,2,1,2,0,1,3,1,0,0,0,1,3,0,0,3,3,0,2,3,2,2,1,3,0,0,3,0,3,0,1,1,2,0,3,0,2,1,3,1,0,2,1,1,2,1,3,3,3,0,3,1,2,1,1,1,0,2,3,0,0,2,1,0,3,3,3,3,0,0,1,0,1,1,0,1,0,0,1,0,2,3,2,2,1,1,1,2,1,2,2,1,3,0,2,0,3,0,3,0,2,2,0,1,1,3,1,2,2,1,2,0,1,1,2,0,0,1,2,3,2,1,1,2,2,3,1,3,3,0,2,3,3,2,1,2,1,3,3,0,0,2,3,1,1,1,0,0,0,1,0,3,1,2,0,1,1,1,3,3,0,0,2,1,3,0,2,0,0,2,1,0,2,0,1,1,0,0,3,1,1,0,0,1,2,0,1,1,3,0,0,3,0,1,1,1,3,1,3,0,1,2,1,1,2,1,3,2,1,1,3,0,3,0,2,2,0,2,3,1,3,2,3,2,1,3,2,1,2,3,1,0,2,2,1,3,0,2,1]
[2,0,2,2,0,2,3,2,3,0,1,2,0,0,2,3,3,2,2,3,1,3,3,2,3,0,3,3,0,3,0,0,1,1,0,3,1,1,3,0,3,0,0,0,3,0,2,2,0,1,2,3,0,1,2,2,0,1,3,2,2,3,0,3,1,0,3,1,2,3,2,3,1,2,2,0,0,3,1,3,3,0,3,2,2,0,3,1,2,3,3,0,0,1,0,2,2,3,1,3,2,3,3,2,2,3,2,3,2,1,0,3,1,3,2,1,3,1,3,3,1,3,0,3,0,2,0,3,0,2,0,2,2,0,1,0,3,1,0,1,1,1,0,2,2,0,1,1,0,0,1,2,0,2,1,3,0,2,1,3,3,3,3,1,1,2,1,3,2,1,1,2,3,1,0,3,0,0,2,0,3,0,3,2,1,3,2,2,0,2,2,3,3,0,2,0,2,2,2,0,3,3,0,0,0,0,0,0,2,1,1,0,2,1,3,3,1,3,2,3,0,0,1,2,2,1,1,3,0,1,2,0,2,1,1,3,3,2,2,1,3,0,3,2,3,0,0,2,3,1,2,2,1,1,0,1,0,3,3,3,1,1,1,1,3,1,3,1,3,1,2,2,1,1,3,2,2,1,2,1,1,1,0,1,0,2,2,2,1,2,2,2,1,3,3,3,2,0,2,1,3,3,3,3,1,2,2,3,1,3,3,2,2,1,2,2,2,2,2,3,2,1,1,3,1,0,2,2,0,1,3,1,0,1,2,3,0,1,1,3,1,0,3,0,1,0,2,1,0,0,0,1,1,0,3,3,2,0,3,2,0,1,3,1,0,3,2,2,0,1,0,3,0,0,2,3,1,0,3,1,1,0,2,2,2,0,3,2,3,0,3,1,2,1,1,2,3,3,0,2,0,1,1,3,2,0,0,3,3,2,2,2,1,1,0,2,2,2,1,1,2,2,0,3,0,0,1,3,1,0,2,0,3,1,1,0,3,3,2,0,1,1,1,0,1,0,1,1,3,2,2,3,1,2,1,1,3,0,3,0,3,2,0,0,1,0,3,3,1,1,1,3,0,3,2,2,0,3,1,3,1,2,2,3,0,2,3,3,0,2,1,2,0,3,2,0,3,1,2,0,0,1,2,1,2,2,3,1,3,0,0,1,0,2,1,3,1,2,2,1,0,0,3,3,3,3,3,2,2,0,0,0,1,1,1,3,1,0,3,3,3,0,2,2,2,2,2,1,2,1,2,3,2,1,0,1,1,1,0,1,1,3,2,3,2,3,0,2,1,0,2,1,0,0,2,1,1,3,2,2,1,1,0,1,3,3,0,3,2,2,0,0,3,2,1,3,3,0,1,2]
[3,2,1,0,1,0,0,0,1,1,1,3,0,2,3,0,1,2,0,3,3,3,2,2,2,3,1,0,1,0,0,2,3,3,2,2,3,2,3,3,3,0,0,3,0,0,2,2,1,2,1,2,0,2,0,0,0,2,1,0,1,2,0,1,0,1,0,1,0,3,2,0,2,3,0,2,1,3,1,0,1,1,3,3,2,3,3,0,3,1,3,3,3,2,0,3,1,2,3,3,1,1,1,0,1,0,2,3,3,1,0,3,3,1,1,2,3,1,2,3,1,0,3,2,2,1,1,0,3,1,2,0,3,3,2,2,3,1,3,1,3,0,0,3,0,2,1,3,0,1,0,0,1,1,2,0,2,0,3,1,0,1,0,2,2,0,3,0,3,1,1,3,2,2,2,1,3,2,0,3,1,3,3,2,0,2,2,2,1,2,3,0,2,1,2,3,3,2,3,2,1,2,2,0,1,3,1,2,0,3,2,1,2,0,0,1,3,2,0,1,2,1,1,0,2,3,2,2,3,3,1,0,1,0,2,1,1,3,1,0,0,1,1,0,2,2,1,3,1,2,2,1,3,2,1,0,3,0,3,2,2,3,3,3,0,2,0,3,0,0,3,0,3,2,3,0,0,2,2,2,2,3,3,0,1,1,0,3,3,0,2,3,3,1,0,2,1,2,3,2,2,0,3,0,3,0,0,1,1,0,3,2,2,2,3,0,3,3,1,2,0,1,2,0,1,3,0,0,1,3,3,0,0,0,3,1,0,3,2,1,2,1,0,3,1,1,2,3,2,1,1,3,1,1,1,1,3,3,2,2,3,2,2,2,0,3,1,2,1,3,2,0,0,2,2,3,1,0,0,0,1,0,3,1,0,1,1,1,0,1,2,1,3,1,1,1,1,0,1,3,3,3,3,0,3,3,2,1,1,0,1,0,0,0,2,2,0,3,0,1,1,3,0,0,2,0,2,2,0,1,1,3,0,1,3,3,0,2,3,2,3,3,2,0,0,3,0,1,1,2,1,0,0,1,0,2,0,2,2,3,0,2,3,3,2,2,3,3,2,0,3,0,2,3,2,0,3,0,0,2,0,1,0,3,2,3,3,1,3,0,1,0,3,1,1,0,3,2,3,0,3,3,3,2,3,0,0,2,0,0,1,1,1,1,3,2,0,3,3,1,1,1,2,3,0,0,0,0,3,0,1,2,3,0,0,1,0,1,0,1,0,1,1,3,1,3,1,3,3,1,2,0,1,3,2,2,2,0,3,2,2,0,1,2,1,0,1,3,3,1,3,3,1,2,2,1,3,3,0,2,2,2,3,3,2,1,1,0,2,2,2,0,0,0,3,3,3,0,3,0]
[0,1,3,1,0,3,0,1,2,1,2,2,2,2,0,3,1,2,2,1,3,1,1,2,2,0,1,1,2,0,2,0,1,0,1,0,2,1,0,3,2,2,0,0,2,2,3,1,2,1,3,1,3,2,3,2,0,1,0,0,2,2,3,2,0,1,2,2,2,0,2,2,0,2,3,2,0,1,1,0,3,1,1,3,0,0,3,1,2,2,2,1,0,2,2,3,2,3,0,2,1,2,3,3,1,0,2,2,3,1,3,0,0,3,3,1,1,1,3,3,3,2,3,0,1,0,2,2,3,3,0,0,1,0,1,1,3,1,3,0,3,3,3,2,0,2,3,2,2,0,1,3,1,2,3,2,2,1,1,0,0,3,0,0,2,2,2,3,2,2,1,3,1,3,0,0,3,3,3,3,2,0,1,0,2,2,0,2,1,2,0,0,2,3,3,0,3,3,0,1,0,1,3,0,1,1,0,1,3,0,0,1,0,3,2,1,1,3,3,0,2,2,3,0,3,0,1,1,2,2,1,3,1,3,0,2,0,1,0,1,0,1,0,2,3,3,2,2,0,2,3,3,3,0,3,2,0,3,3,0,2,3,3,1,2,2,1,1,3,1,3,2,2,3,2,1,3,2,3,0,0,0,2,0,2,2,1,2,1,2,1,3,3,2,0,0,1,1,1,1,1,3,0,1,0,0,1,2,3,1,0,2,2,0,3,0,0,3,2,1,0,2,0,0,2,1,0,1,3,1,3,3,2,1,3,2,2,1,2,1,1,0,2,3,1,0,1,1,1,3,3,3,2,3,0,0,2,2,1,2,3,1,0,3,0,2,2,3,2,1,2,3,0,2,0,2,1,2,2,3,0,1,1,2,3,3,3,2,2,1,3,0,3,3,3,3,2,2,2,3,1,3,3,1,2,1,0,3,2,1,0,2,0,3,1,2,2,2,1,3,0,0,2,2,1,0,3,1,2,0,3,0,3,0,1,2,3,3,1,3,1,3,3,3,0,2,1,2,0,0,2,2,3,3,0,2,0,1,2,3,2,3,0,0,2,3,2,3,2,2,3,0,1,3,3,2,0,2,1,2,3,1,0,3,0,1,1,1,0,3,2,0,2,2,1,2,1,1,1,1,0,1,2,3,2,0,0,1,2,2,1,2,0,3,0,3,2,3,1,2,3,1,3,0,2,3,1,1,3,3,0,0,1,3,2,3,0,1,0,0,1,1,2,0,2,0,2,2,0,2,3,0,3,3,1,2,3,3,3,3,2,0,2,1,0,3,1,0,2,0,3,0,1,0,0,3,1,2,2,3,3,3,1,0,0,0,0,3,2,0,0,2,0,0,1,2,0,3,3,1]
[1,0,0,0,1,3,1,3,0,2,2,2,0,0,3,1,1,1,2,0,2,1,1,2,1,2,2,3,1,2,3,3,0,0,2,1,2,0,2,1,0,0,3,1,0,0,1,0,3,0,2,3,3,0,0,1,2,1,3,0,1,2,0,2,0,1,1,0,1,0,3,0,1,2,2,2,1,0,0,1,2,2,2,3,3,0,3,2,3,1,1,1,3,0,0,2,3,3,0,0,2,0,3,1,1,0,1,0,0,1,2,0,1,2,3,3,1,0,3,0,2,3,2,0,0,2,1,2,2,1,3,3,1,2,0,0,0,2,2,2,0,2,2,0,2,2,3,1,1,0,2,0,1,3,3,0,0,2,3,2,1,3,2,1,0,2,1,3,2,1,2,1,2,2,3,2,3,1,0,1,0,1,2,3,0,0,1,3,1,0,3,0,3,2,2,0,1,3,0,0,1,3,2,2,3,1,2,1,1,2,2,3,0,2,2,3,3,3,0,0,2,2,2,0,2,2,1,1,2,1,1,0,2,1,3,2,2,0,3,2,2,3,3,1,0,2,3,1,3,3,1,2,3,2,3,0,2,3,0,0,2,1,1,0,0,3,1,1,1,0,0,0,3,0,1,0,3,0,1,2,2,0,1,0,1,3,3,1,0,3,0,0,0,1,3,2,0,3,0,0,2,3,1,3,3,2,0,0,2,0,2,0,3,1,1,1,1,3,3,3,2,1,0,3,3,2,0,2,1,1,3,1,1,2,1,3,2,3,0,2,1,3,2,2,0,3,3,2,0,2,0,3,2,2,0,1,2,2,2,3,1,2,2,1,1,1,2,0,2,0,2,0,0,0,0,1,2,3,0,3,0,2,3,1,2,0,0,2,2,0,2,2,3,3,2,2,0,1,3,2,3,2,2,1,1,2,0,1,0,2,1,1,2,0,2,2,0,3,3,0,0,2,0,1,1,1,1,2,0,1,3,2,1,1,1,3,3,1,1,2,3,1,1,1,2,1,1,3,2,0,1,2,2,1,1,2,3,0,0,2,1,0,3,2,1,3,0,3,2,3,3,3,0,0,2,0,0,3,1,0,3,3,0,1,3,0,3,2,3,2,0,2,1,3,2,2,0,1,1,1,2,0,2,2,3,3,2,2,1,3,1,3,3,2,3,0,1,1,0,0,1,1,2,2,0,1,3,3,1,3,1,3,1,2,0,0,1,2,2,3,2,0,0,1,3,3,1,3,2,1,2,0,1,3,0,3,0,0,3,3,1,2,3,0,2,0,2,3,3,3,2,2,2,2,2,1,0,1,0,1,3,2,3,1,1,1,0,2,3,0,3,2,3,1,2,2,0,2,3,0]
[0,0,2,2,1,3,0,0,2,1,2,3,3,2,3,3,2,1,2,1,2,0,2,2,3,2,1,3,0,0,1,1,3,2,1,0,1,1,2,3,0,2,3,0,0,2,2,0,0,2,3,1,2,2,3,0,1,3,1,2,3,0,2,2,0,1,2,0,2,2,0,0,3,1,2,2,0,1,0,1,2,3,2,0,0,2,2,1,3,2,2,1,3,0,1,1,1,0,2,0,2,3,0,3,3,2,1,3,0,2,2,2,1,0,1,2,0,1,1,2,2,0,2,0,1,0,1,1,0,1,0,0,1,3,1,0,0,0,2,2,0,3,1,3,3,3,1,1,3,1,1,0,0,2,3,2,1,2,1,3,2,2,0,0,1,1,3,2,0,0,1,1,3,2,3,0,0,3,1,3,0,0,1,3,1,0,1,3,1,3,2,3,0,0,1,3,2,1,2,1,0,0,3,2,1,2,0,1,1,2,1,1,2,3,2,3,2,1,2,3,0,1,3,1,0,2,1,2,3,3,2,2,3,0,2,1,1,3,2,2,2,0,1,0,0,0,1,3,2,1,0,3,2,0,3,1,2,3,3,3,2,1,2,3,1,2,2,0,2,3,0,2,3,1,2,2,2,1,0,2,3,1,2,3,3,0,3,3,1,0,2,2,3,0,3,2,0,2,2,3,3,2,0,2,1,3,2,3,0,3,1,0,0,3,2,1,1,2,2,2,0,0,3,1,3,1,1,2,2,1,0,1,1,2,2,2,3,3,3,1,2,2,1,1,0,0,3,2,2,0,0,1,0,1,2,0,1,0,3,3,1,3,1,3,2,0,2,2,2,2,2,2,0,3,2,1,1,1,1,1,2,1,3,0,2,1,3,0,0,1,3,3,1,1,1,2,2,0,0,3,2,0,2,1,3,3,1,1,1,3,1,0,1,2,1,2,3,0,3,0,0,0,0,3,3,3,2,1,2,3,2,3,1,1,0,2,0,3,1,3,2,1,3,1,0,3,2,0,2,0,0,0,1,0,3,1,1,1,3,2,1,3,0,2,0,1,2,1,3,0,0,0,3,0,3,0,1,2,2,1,3,3,0,3,3,0,0,3,1,2,1,3,0,2,1,3,1,2,3,0,0,0,0,2,1,1,0,3,0,0,2,0,1,3,2,1,2,1,0,3,0,2,1,1,0,1,3,3,3,1,3,1,3,1,3,1,0,0,0,2,2,3,0,1,3,1,1,2,1,2,1,0,3,0,1,2,2,3,1,1,0,1,0,3,3,3,2,3,0,1,1,3,3,0,2,1,3,0,0,1,0,2,0,3,0,3,0,0,2,0,0,2,0,2,3,1,2,3,2,1]

{"sheet":"Figure_1D_layer_1","index":1,"n_rows":150,"n_cols":150,"rows_kept":150}
[30,27,18,36,24,30,63,42,30,36,51,57,27,60,60,75,66,57,117,90,75,93,111,201,180,189,135,189,237,258,246,288,309,336,291,324,294,336,393,375,402,438,516,489,468,525,591,573,543,564,540,576,657,609,663,672,588,603,675,708,651,750,726,789,741,768,912,813,777,834,774,783,825,762,873,858,876,918,765,957,831,804,903,804,891,912,957,864,954,927,915,837,951,885,927,900,825,927,927,951,918,813,882,909,1143,840,942,861,807,897,882,942,843,831,858,762,744,837,840,738,789,645,804,765,783,720,690,636,681,738,645,672,627,576,606,594,624,570,630,495,531,666,534,537,468,453,519,498,432,414]
[48,60,18,21,54,45,45,45,51,48,36,78,69,51,66,48,45,93,93,129,93,105,108,207,138,177,231,150,240,261,267,243,294,348,297,336,321,408,390,402,471,432,585,516,483,552,510,513,654,561,558,693,576,666,699,735,783,708,669,675,735,744,789,831,780,762,840,780,900,1023,849,885,807,822,966,861,921,879,897,855,792,990,942,924,999,957,987,912,969,897,954,930,987,876,849,915,921,954,930,996,900,918,861,897,792,975,1101,906,939,819,792,897,855,795,816,933,831,876,822,756,837,801,858,798,726,723,717,747,681,717,681,621,645,609,675,600,618,669,594,588,663,555,534,522,579,561,549,447,420,483]
[30,51,36,51,18,54,57,39,48,51,69,48,30,54,63,51,69,90,96,87,93,78,147,141,114,204,201,138,228,243,300,240,273,291,297,438,408,414,474,414,486,519,450,507,576,615,630,708,609,666,687,711,630,657,654,687,672,729,831,711,687,852,810,798,825,795,885,843,825,942,870,849,1062,918,903,1005,855,960,987,912,951,1035,963,1068,978,1017,894,1050,1008,954,978,927,981,870,1005,1011,981,1047,891,1032,873,1023,1005,990,996,927,954,990,1041,1221,957,879,852,921,828,963,849,891,975,867,873,708,867,828,813,720,762,729,750,735,810,714,657,705,618,513,666,606,564,663,552,546,540,486,495,477,432,606,477,405]
[45,48,42,36,51,36,54,54,39,45,105,57,78,45,90,96,63,78,102,90,111,105,120,216,231,207,282,258,234,252,210,288,333,306,381,408,375,387,468,426,507,468,387,591,534,621,594,606,594,639,687,684,711,708,786,786,744,771,834,771,792,744,840,858,1020,966,861,915,930,861,987,990,1020,1005,1038,1137,1038,927,1014,939,948,1101,990,819,1080,1071,1038,1143,1083,993,1041,1104,1020,1047,1146,1011,1071,1005,939,1017,933,897,1005,942,999,1086,969,948,1005,897,864,909,1176,969,921,1008,870,1002,867,912,837,807,771,792,822,831,813,774,756,753,750,741,693,681,630,663,762,678,582,702,561,540,594,528,489,489,534,492,420,519]
[24,54,27,27,39,36,57,54,42,45,45,33,42,45,81,81,72,51,81,105,87,111,108,162,216,144,192,276,282,279,231,285,291,300,420,357,366,471,474,471,561,672,558,504,645,663,618,633,669,714,645,678,714,753,729,852,852,921,792,861,711,819,822,861,864,918,897,1008,891,972,885,888,879,1131,972,930,1116,945,1245,1017,1098,1011,918,1116,927,1161,1110,1137,1011,1011,1017,1008,1098,1011,1077,1134,1047,981,1107,1026,936,1149,1056,999,1032,948,1008,972,978,1053,999,936,1023,921,987,1149,870,945,945,1002,948,852,816,834,960,882,765,846,870,828,687,636,705,720,657,678,702,690,654,642,591,585,606,534,492,543,609,477,441,444]
[24,69,48,18,27,51,57,48,48,54,30,51,75,60,48,54,75,81,87,141,105,204,123,171,267,204,240,279,303,279,291,339,369,363,324,465,408,444,504,531,549,597,534,615,726,675,681,660,702,741,669,744,774,867,819,783,924,825,909,822,906,906,906,963,987,933,954,924,981,942,1017,1047,1026,954,1131,1149,954,1044,1089,1029,1002,1281,1005,1092,1098,1113,1116,1098,1134,1059,1140,1026,1197,1071,936,1110,1008,1179,1026,1125,993,1053,1059,1023,1056,1098,1050,1011,1062,1041,987,978,951,1101,1011,1080,948,1050,1158,978,942,936,912,873,873,888,912,864,867,840,756,813,669,762,783,777,735,624,645,627,567,561,546,594,627,495,474,624,555,474]
[63,27,36,42,42,33,42,27,48,72,36,45,66,72,45,90,87,90,114,117,126,138,120,189,201,234,222,210,306,324,336,384,312,387,468,420,477,453,531,552,522,579,624,669,612,696,969,651,771,777,774,747,840,855,840,882,837,1044,930,906,1014,912,957,1029,1071,1032,948,993,1068,1044,996,1113,1170,1155,1065,1047,1137,1056,1140,1134,1041,1080,1131,1083,1287,1185,1209,1140,1014,1152,1110,1068,1230,1071,1158,1104,1053,1125,1218,1071,1266,1116,1197,1170,1098,1134,1047,1167,1188,1026,1098,1044,1008,1020,1161,1089,1068,1137,990,981,1050,1095,951,951,981,918,813,813,798,768,864,858,819,867,774,738,741,672,660,690,693,513,576,486,492,615,489,486,480,438]
[33,15,36,36,48,48,33,51,63,57,54,84,93,36,63,102,72,96,84,123,102,147,219,228,276,267,261,291,312,366,345,378,408,411,432,453,441,456,498,594,585,636,645,648,672,705,774,819,783,933,849,891,891,843,900,903,915,942,936,1008,867,993,1017,1098,981,963,1014,1122,1149,1116,1083,1248,1284,1149,1089,1083,1107,1044,1146,1125,1113,1074,1173,1158,1179,1218,1149,1383,1218,1164,1116,1170,1179,1125,1218,1173,1083,1254,1131,1266,1191,1128,1203,1077,1248,1110,1092,1167,1116,1032,1083,1122,1134,1161,1095,1038,1146,1107,999,1044,969,924,1002,942,1047,894,873,786,846,783,846,801,918,840,789,690,813,654,708,690,612,627,738,591,528,567,564,492,549,495]
[45,45,27,39,45,45,36,39,66,54,60,42,66,60,93,57,81,90,81,147,135,129,201,252,222,231,270,291,273,363,393,369,315,432,498,426,600,549,567,636,624,552,639,660,756,720,777,729,867,825,840,828,963,1092,891,978,1059,966,1158,966,1023,1002,960,1095,1113,1134,1020,1251,1044,1149,1161,1101,1074,1182,1098,1152,1179,1209,1161,1182,1167,1233,1239,1281,1140,1224,1251,1341,1164,1179,1539,1146,1209,1260,1164,1275,1248,1110,1338,1197,1317,1086,1173,1053,1158,1242,1209,1224,1200,1221,1266,1206,1125,1077,1107,1086,1215,1290,1035,1077,1086,951,984,876,939,852,996,1044,972,837,843,804,729,789,783,747,738,642,714,765,714,636,621,576,561,579,579,528,516,564]
[21,39,66,15,36,33,54,39,63,72,39,93,45,69,69,63,84,105,138,108,138,213,243,195,255,246,231,312,357,378,336,435,447,507,492,531,552,576,627,648,666,642,660,702,693,690,810,936,909,834,810,945,987,975,948,972,1161,957,1056,1044,975,1038,1170,1029,1167,1128,1209,1125,1173,1194,1230,1236,1113,1368,1260,1305,1341,1242,1338,1326,1263,1245,1344,1311,1353,1326,1260,1368,1329,1356,1230,1155,1311,1671,1365,1314,1248,1329,1224,1197,1287,1368,1170,1242,1320,1212,1341,1239,1242,1293,1254,1209,1098,1158,1305,1248,1179,1080,1056,1065,978,1014,1083,1062,1020,1125,1014,936,954,909,1086,867,882,879,822,783,828,726,630,645,735,594,687,594,561,660,480,543,537,579]
[54,45,36,33,33,30,48,54,60,54,60,66,48,48,72,84,78,87,126,195,168,255,228,243,240,261,297,315,402,399,378,408,471,504,573,576,543,576,660,696,612,663,729,861,948,870,858,981,1029,894,975,930,978,999,1017,1014,1041,993,1041,1353,1149,1083,1230,1125,1119,1167,1251,1236,1149,1170,1236,1245,1137,1140,1221,1230,1218,1416,1368,1305,1272,1254,1356,1314,1398,1317,1254,1383,1335,1392,1194,1371,1386,1440,1419,1401,1527,1404,1212,1260,1272,1257,1380,1398,1206,1233,1182,1290,1296,1269,1308,1293,1200,1224,1170,1293,1233,1143,1104,1104,1131,1089,1116,1149,1155,1119,1092,1005,1017,996,996,888,777,975,786,792,711,735,813,687,714,579,654,573,624,615,591,654,537,510]
[33,48,33,51,45,39,39,45,36,72,60,75,84,60,63,72,90,111,129,126,183,198,249,249,309,258,318,417,390,402,429,462,426,483,513,540,489,684,627,654,723,792,750,750,837,831,975,981,951,1068,1041,1068,975,1041,1041,1182,1119,1089,1023,1113,1137,1245,1464,1290,1182,1215,1260,1215,1263,1197,1227,1245,1302,1179,1194,1305,1386,1245,1362,1296,1338,1479,1194,1488,1338,1446,1392,1302,1476,1227,1299,1350,1407,1350,1341,1407,1272,1344,1302,1551,1305,1275,1299,1242,1467,1233,1275,1257,1299,1407,1203,1236,1146,1353,1377,1305,1188,1113,1320,1131,1266,1095,1110,1173,1098,1032,1032,996,921,903,987,861,963,948,963,792,1002,771,699,762,630,648,723,633,606,624,537,639,579,516]
[36,42,57,54,84,48,39,63,30,69,75,60,66,78,75,84,96,96,99,117,168,243,237,237,291,252,306,462,375,444,411,444,474,591,585,570,642,717,729,705,666,801,780,828,882,942,894,1071,945,1008,1086,1128,1017,1173,1089,1233,1185,1203,1107,1146,1197,1206,1236,1311,1248,1536,1221,1362,1338,1419,1281,1425,1338,1464,1416,1329,1446,1380,1506,1473,1440,1362,1503,1413,1452,1419,1338,1407,1434,1473,1452,1431,1344,1518,1386,1512,1524,1266,1527,1416,1371,1425,1578,1317,1290,1203,1272,1317,1173,1314,1194,1428,1311,1365,1239,1281,1296,1311,1242,1146,1125,1131,1287,1122,1098,1101,1086,945,963,996,999,888,822,882,777,774,825,774,864,879,669,690,681,582,666,600,594,615,519,516]
[60,39,42,30,48,39,72,66,54,54,60,54,69,108,93,48,90,120,120,108,225,252,225,252,282,327,366,327,354,372,396,486,576,573,633,630,678,573,717,801,708,849,816,927,1029,867,1017,972,1002,1017,1002,1182,1206,1182,1185,1224,1266,1233,1299,1248,1269,1263,1245,1257,1422,1197,1425,1257,1587,1362,1311,1419,1482,1326,1398,1458,1464,1488,1467,1443,1524,1398,1503,1608,1365,1503,1500,1404,1512,1467,1401,1503,1413,1572,1398,1464,1443,1419,1524,1389,1422,1434,1245,1404,1464,1608,1449,1347,1350,1335,1320,1386,1305,1281,1386,1308,1311,1335,1278,1179,1203,1224,1212,1233,1236,1074,1179,1062,1044,1104,948,1008,972,975,954,813,861,837,834,795,777,684,651,756,663,609,597,555,531,549]
[33,60,48,60,33,63,36,57,57,57,54,75,72,66,72,51,108,111,135,267,222,219,267,312,300,354,495,423,450,456,486,492,483,570,711,687,639,759,792,792,885,888,819,855,1086,1002,1032,1035,1062,1095,1065,1278,1131,1089,1299,1125,1233,1227,1284,1248,1317,1341,1338,1419,1512,1413,1371,1299,1395,1527,1305,1623,1419,1479,1596,1548,1464,1581,1338,1590,1389,1512,1530,1566,1548,1464,1461,1548,1551,1452,1482,1488,1395,1500,1596,1479,1455,1563,1563,1461,1443,1395,1425,1506,1440,1389,1434,1326,1437,1530,1377,1506,1395,1458,1338,1353,1305,1314,1257,1437,1131,1341,1200,1200,1182,1119,999,1032,1134,1098,984,966,915,1023,861,903,882,921,843,813,699,840,723,744,669,624,753,663,579,528]
[36,24,51,48,33,63,39,63,78,72,60,72,72,57,135,72,120,114,150,210,201,222,288,312,312,360,369,393,516,471,483,537,558,612,693,648,765,1011,801,840,837,978,933,1056,963,1116,1047,1059,1191,1170,1173,1137,1269,1215,1206,1176,1311,1314,1302,1458,1374,1260,1425,1446,1347,1458,1482,1482,1398,1353,1425,1440,1416,1410,1725,1596,1479,1548,1539,1497,1605,1443,1725,1536,1581,1410,1632,1566,1542,1473,1407,1467,1566,1584,1617,1596,1485,1611,1578,1455,1557,1506,1512,1431,1473,1530,1554,1569,1539,1473,1536,1236,1695,1515,1524,1221,1326,1407,1362,1323,1263,1206,1251,1368,1182,1092,1221,1071,1176,1113,1128,930,990,873,1035,945,921,891,981,828,783,759,741,654,690,687,540,585,636,720]
[54,27,36,54,48,54,66,27,51,54,78,51,69,69,90,108,120,87,198,177,222,273,267,432,360,393,435,459,555,510,576,543,525,570,666,714,600,849,804,777,1116,1041,1047,1026,1035,1179,1191,1215,1143,1185,1260,1296,1155,1269,1161,1281,1347,1356,1299,1422,1407,1434,1473,1497,1503,1320,1473,1500,1500,1605,1560,1389,1500,1461,1569,1695,1635,1887,1569,1629,1620,1593,1692,1626,1527,1500,1608,1602,1608,1542,1656,1575,1584,1578,1500,1539,1626,1425,1563,1530,1668,1686,1437,1536,1608,1560,1416,1536,1449,1572,1446,1419,1323,1398,1383,1701,1323,1404,1452,1407,1380,1314,1221,1209,1215,1203,1218,1149,1116,1047,1044,1020,1020,948,918,798,771,879,885,825,828,753,762,681,672,621,624,645,570,534]
[27,30,45,45,27,45,51,33,60,63,75,75,69,99,96,105,129,105,207,249,276,255,252,309,450,495,507,483,516,597,594,663,690,648,669,690,840,837,912,924,921,1059,999,1278,975,1170,1179,1233,1260,1212,1332,1254,1314,1374,1272,1323,1440,1437,1449,1404,1557,1455,1500,1428,1515,1509,1500,1590,1518,1632,1698,1632,1614,1578,1692,1683,1560,1713,1614,1659,1992,1692,1833,1644,1710,1674,1731,1671,1674,1734,1707,1647,1638,1584,1587,1665,1680,1638,1692,1656,1692,1659,1476,1395,1497,1695,1491,1563,1494,1467,1584,1512,1479,1590,1386,1368,1416,1596,1518,1404,1296,1305,1326,1209,1272,1185,1152,1206,1047,1176,1170,957,1026,1077,918,933,882,903,810,894,852,708,786,723,723,705,678,543,540,636]
[54,15,27,69,39,42,45,36,72,39,99,54,63,87,90,114,135,141,246,213,309,330,342,393,480,567,576,525,567,579,678,735,744,855,723,768,756,831,921,987,1059,1104,1056,1137,1182,1287,1506,1251,1290,1248,1383,1452,1536,1494,1497,1560,1461,1479,1617,1545,1599,1479,1470,1731,1788,1653,1635,1602,1743,1617,1863,1638,1701,1608,1686,1743,1782,1755,1824,1704,1683,1710,1722,2061,1758,1893,1866,1821,1791,1743,1689,1779,1662,1674,1647,1662,1695,1734,1785,1587,1644,1665,1596,1578,1758,1698,1551,1572,1653,1455,1521,1464,1497,1554,1611,1599,1308,1437,1485,1380,1590,1371,1341,1257,1419,1230,1263,1263,1230,1209,1176,1098,1158,993,1044,831,864,939,867,816,813,837,699,816,633,630,714,546,525,549]
[45,33,45,51,30,48,42,42,60,81,48,60,69,96,81,63,102,135,192,264,267,375,387,462,480,495,582,588,684,798,756,786,855,927,924,885,909,909,1011,1068,1257,1233,1239,1326,1422,1458,1398,1503,1422,1632,1518,1509,1617,1656,1575,1644,1560,1686,1599,1611,1680,1575,1626,1737,1716,1785,1659,1722,1647,1779,1662,1836,1782,1863,1677,1938,1890,1815,1941,1956,1842,1794,1779,1911,1686,1935,2349,1803,1977,1803,1728,1710,1770,1863,1875,1770,1836,1779,1743,1623,1803,1641,1719,1710,1740,1614,1563,1662,1695,1761,1701,1716,1764,1701,1551,1641,1662,1587,1518,1422,1356,1428,1449,1308,1533,1353,1272,1293,1257,1203,1059,1143,1167,1014,1053,963,1026,1050,954,897,849,810,831,684,726,657,690,663,543,585]
[39,42,51,30,63,60,39,87,42,36,39,63,93,114,111,132,129,129,198,303,321,366,438,522,552,675,672,753,699,759,786,789,873,960,933,981,1023,885,948,1224,1221,1305,1344,1308,1422,1560,1476,1587,1503,1500,1509,1599,1734,1761,1653,1734,1728,1620,1659,1686,1734,1857,1650,1713,1860,1815,1827,1728,1806,1785,1743,1815,1734,1884,1917,1863,2040,1758,1938,1986,1920,1920,2043,1920,1932,1833,2037,1995,1896,2268,1965,1938,1848,1785,1899,1815,1740,1788,1839,1803,1827,1806,1755,1644,1650,1788,1623,1653,1566,1614,1728,1656,1632,1647,1722,1710,1668,1599,1677,1584,1620,1536,1356,1422,1422,1278,1557,1278,1224,1191,1242,1134,1128,1017,1044,1020,1029,996,888,942,888,777,798,849,720,561,675,567,651,561]
[54,45,42,45,48,33,75,54,57,78,69,66,57,75,78,96,105,150,216,246,318,348,357,516,630,699,795,807,876,804,816,873,918,969,1008,954,1083,1137,1122,1020,1143,1197,1218,1428,1497,1482,1563,1590,1572,1350,1500,1458,1470,1731,1752,2034,1617,1929,1689,1719,1728,1761,1716,2043,1791,1863,2085,1872,1863,1938,1773,1830,1818,1905,1989,1914,1965,1893,2079,1992,1926,1998,1845,1887,2013,1953,2019,2004,2088,1842,1938,1932,1869,2229,1869,1857,1872,1854,1875,1767,1701,1794,1692,1644,1758,1671,1728,1599,1707,1764,1704,1689,1548,1611,1701,1695,1614,1533,1551,1425,1419,1413,1344,1344,1302,1233,1323,1119,1191,1215,1431,1101,1068,1050,1053,993,942,942,987,882,846,783,756,759,750,702,696,636,588,534]
[36,36,33,60,57,39,45,51,60,57,39,72,60,48,72,129,129,144,141,225,303,486,438,546,600,780,888,849,948,933,888,933,843,993,1062,1026,1068,1077,1242,1098,1053,1236,1329,1611,1608,1698,1884,1803,1740,1578,1620,1647,1638,1869,1797,1671,1701,1785,2112,1839,1731,1836,1833,1860,1881,1950,2064,2013,1989,1929,1824,1776,1932,1899,2034,2112,2130,2025,2034,1998,1974,2010,1896,2010,2118,2100,2100,2136,2061,1821,1908,1995,1980,1836,1998,1881,2187,1842,1977,1944,1830,1863,1692,1887,1851,1863,1719,1770,1683,1668,1794,1563,1719,1653,1605,1617,1563,1650,1581,1551,1440,1467,1371,1446,1326,1386,1461,1188,1380,1284,1212,1137,1209,1323,1023,903,1041,990,885,834,879,804,732,777,747,633,696,627,579,606]
[30,45,57,21,60,57,42,30,63,51,81,30,57,84,114,120,207,132,207,288,303,378,501,570,792,903,1008,1002,1005,852,870,957,1098,999,1032,1083,1104,1092,1170,1029,1257,1293,1422,1521,1662,1845,1767,1785,1515,1515,1524,1650,1743,1698,1836,1926,1929,1902,1893,1911,1785,1929,2229,1983,2085,2094,2052,2034,1947,1890,1770,1926,1914,2067,1983,2076,2004,2061,1995,2079,1959,1947,2139,2097,1962,2193,2148,2223,2121,1899,1821,2019,1821,1797,2046,1875,1995,2013,2052,2076,1896,1668,1809,1836,1761,1701,1761,1788,1704,1725,1758,1752,1914,1764,1944,1701,1575,1740,1608,1575,1503,1512,1452,1464,1536,1482,1185,1440,1272,1236,1344,1182,1104,1131,1221,1011,1134,927,888,993,891,852,846,726,681,795,783,690,612,633]
[39,60,33,45,36,57,45,78,69,27,72,84,93,84,69,114,219,138,192,225,279,366,555,651,870,1071,1341,1746,1395,1134,1008,939,960,999,1098,1257,1068,1128,1164,1131,1293,1152,1359,1461,1629,1686,1917,2115,1950,1806,1602,1464,1803,1689,1863,1881,1911,1884,1992,1839,1818,1932,1815,1707,2526,2283,2238,2262,2148,2115,1995,1788,1908,1992,2187,2181,2376,2004,1974,1968,1968,1980,1866,2058,2193,2253,2361,2178,2118,1941,1905,1887,2007,2193,1953,1977,1947,2082,1920,1851,1863,1905,2313,1755,1692,1803,2016,1785,1752,1653,1728,1812,1704,1800,1956,1977,1887,1770,1707,1605,1419,1527,1515,1497,1407,1389,1335,1428,1305,1257,1146,1188,1161,1104,1143,936,1014,930,915,1065,918,855,828,816,780,690,672,642,618,627]
[42,51,33,36,54,60,45,84,66,87,81,69,102,96,102,117,138,177,228,351,330,357,450,732,1110,1794,2109,2535,2127,1845,1752,1110,1083,1095,1173,1323,1401,1449,1245,1248,1194,1470,1485,1542,1758,2142,2205,2199,1902,1905,1794,1632,1863,1878,1848,1953,2004,2064,2079,1917,1911,1902,1887,1974,2256,2664,2589,3063,2160,2061,1998,2142,2022,2175,2244,2328,2499,2328,2178,2142,1965,2100,2070,2307,2301,2466,2436,2445,2133,2019,1815,1896,1914,1986,2046,2208,2163,2166,1860,1941,1902,1869,1938,1863,1920,2193,1791,1971,1893,1614,1965,1713,1881,1824,2199,2253,2226,1830,1752,1554,1578,1635,1509,1329,1524,1533,1413,1398,1314,1203,1203,1104,1182,1158,1104,1044,993,933,906,771,903,882,882,735,708,753,732,690,657,744]
[36,39,42,33,30,84,39,33,60,63,84,69,87,96,120,120,135,168,222,258,372,453,696,969,1425,3285,4350,4530,3465,2664,1809,1407,1230,1311,1104,1443,1776,1770,1506,1500,1407,1332,1533,1881,2079,2862,3207,3204,2448,2304,1944,1809,1776,1836,1938,2154,2256,2322,2223,2010,1980,2025,2022,2238,2364,3252,3591,3186,2718,2466,2436,2013,2082,2301,2607,2853,3048,2904,2610,2349,2256,2076,2265,2436,2478,2817,3009,2871,2565,1992,2085,1908,2244,2157,2292,2604,2871,2616,2280,2019,1890,1893,1941,1854,1926,1923,1818,2259,1911,1767,1722,1788,1917,2145,2583,2952,2928,2346,1770,1704,1575,1677,1506,1497,1404,1311,1320,1272,1287,1248,1260,1167,1257,1185,1044,981,1044,1038,1020,927,879,900,918,774,708,909,717,669,627,636]
[30,12,60,57,51,63,57,66,63,66,54,75,75,99,114,90,183,264,285,228,402,507,789,1392,2601,5517,6321,5622,3912,2517,1716,1251,1212,1347,1323,2169,2244,1947,1569,1467,1350,1506,1659,2052,2676,3774,4074,3507,2703,2121,2154,1869,1923,2007,2202,2499,2694,2406,2298,2118,1914,1872,2376,2406,3159,4071,4194,3813,2838,2376,2124,2028,2547,2340,2931,3678,3669,3012,2820,2160,2214,2055,2541,2469,3195,3651,3492,3150,2562,2220,2151,1962,2157,2283,2565,3060,2943,2616,2391,2049,2055,1875,2019,1938,2016,1992,2061,1881,1890,1701,2115,1887,2055,2505,3000,3477,3318,2451,1986,1959,1632,1608,1584,1440,1452,1461,1164,1443,1266,1254,1170,1266,1197,1290,1065,1047,954,912,963,945,909,804,804,705,726,762,729,804,666,552]
[54,45,60,42,51,60,57,66,51,45,81,102,75,123,132,102,198,222,219,318,372,483,843,1476,2211,3762,5145,4680,3222,2475,1695,1326,1242,1365,1530,1662,1944,2022,1509,1479,1368,1533,1740,2133,2496,3243,3750,3435,2694,2259,2025,1914,1965,2049,2196,2334,2472,2412,2232,1914,1995,1980,2187,2511,2784,3762,4221,3438,2946,2634,2124,2085,2142,2544,2751,3975,3384,3231,2943,2580,2220,2406,2244,2673,2940,3378,3711,3162,2733,2382,2226,2076,2142,2196,2370,2676,2943,2721,2424,2238,1968,2052,1908,2058,2052,2142,1914,1971,1902,1821,1923,1836,2529,2370,2820,3066,3069,2658,2358,1740,1677,1581,1545,1539,1416,1485,1545,1443,1356,1368,1158,1182,1167,1215,1284,1086,1131,1038,1020,933,888,849,837,750,681,693,777,546,648,792]
[36,48,33,36,36,60,60,60,54,57,66,99,78,105,60,123,192,189,258,309,396,435,825,1161,1551,2205,2889,3168,2394,1968,1683,1314,1344,1317,1557,1452,1611,1413,1563,1386,1470,1506,1518,1953,2253,2574,2871,2745,2337,2088,2169,1983,1944,2055,2121,2328,2358,2199,2220,2400,2070,2103,2190,2322,2508,2841,3165,3009,2637,2451,2070,2163,2280,2328,2520,2595,2943,2778,2754,2424,2373,2115,2340,2415,2496,2853,2886,2841,2715,2376,2373,2181,2094,1920,2277,2475,2577,2928,2040,1959,2043,1917,1962,1944,1908,1962,2118,1935,2118,1992,1902,1845,2067,2196,2190,2385,2622,2397,2322,2022,1806,1767,1491,1455,1563,1617,1479,1491,1395,1410,1308,1260,1155,1164,1341,1083,1065,996,936,1005,1017,981,882,786,669,759,765,768,621,612]
[30,27,48,66,36,39,54,30,90,51,63,84,72,72,117,93,135,222,276,360,438,495,561,837,1113,1803,1710,1674,1614,1299,1209,1209,1485,1368,1524,1512,1500,1389,1410,1359,1434,1482,1758,1896,1998,2178,2301,2193,2202,1965,2067,1923,1854,2064,2061,2130,2106,2067,2142,2019,2112,1974,2427,2160,2424,2583,2538,2526,2388,2199,2064,2184,2172,2268,2202,2580,2514,2610,2496,2190,2274,2202,2109,2340,2445,2523,2580,2670,2433,2256,2277,2217,2010,2190,2154,2229,2433,2238,2160,2397,2157,1935,1995,1995,2058,2016,2055,2040,1962,2067,1812,1986,1929,2058,2094,2049,2130,2289,1962,1779,1872,1716,1608,1548,1647,1557,1473,1503,1428,1401,1383,1224,1191,1254,1191,1116,1035,1335,1002,1065,948,870,873,837,813,729,696,696,564,708]
[66,51,57,60,27,39,48,45,36,93,60,87,54,102,129,99,201,213,216,345,459,387,690,780,825,1173,1308,1494,1665,1188,1221,1293,1455,1488,1545,1440,1458,1503,1452,1245,1551,1524,1662,1836,1962,1920,2184,2085,2106,1887,1926,1908,2157,2130,2115,2169,2196,1977,2037,1974,2124,1914,2082,2133,2223,2772,2427,2202,2343,2034,1989,2124,2217,2346,2304,2487,2454,2301,2436,2316,2280,2223,2256,2556,2475,2394,2412,2691,2331,2178,2268,2133,2193,2142,2307,2199,2211,2226,2040,2139,2154,1911,2433,2076,2136,2166,2028,2025,2007,1833,1923,1923,1926,1902,2097,1983,1977,1782,2112,1833,1698,1749,1575,1638,1656,1566,1440,1560,1278,1314,1380,1296,1239,1152,1110,1134,1077,1026,996,1149,936,855,945,708,774,747,648,720,738,615]
[45,27,45,42,51,75,57,39,93,72,84,87,93,84,99,171,207,276,264,297,414,480,555,864,849,1104,1176,1164,1200,1383,1380,1179,1305,1383,1527,1242,1494,1509,1446,1335,1440,1548,1812,1857,1959,1875,2103,1920,1893,1860,1944,2106,2049,2040,2091,2049,1986,2097,2079,2034,1947,2100,2034,2193,2229,2043,2361,2142,2508,2067,2217,2085,2211,2220,2262,2244,2460,2328,2148,2250,2082,2439,2316,2292,2220,2397,2280,2352,2433,2259,2121,2058,2172,2193,2163,2151,2214,2103,2079,1911,2121,2118,2061,2067,2040,2388,1992,2040,1902,2019,1827,2061,1905,1908,2202,2103,2055,1950,1758,1752,1716,1698,1617,1530,1674,1605,1629,1455,1449,1419,1272,1197,1248,1158,1182,1068,1119,1143,1092,882,1008,936,1014,906,897,720,810,693,642,693]
[48,39,27,45,42,51,54,57,39,63,72,111,87,102,120,99,192,261,288,324,459,486,609,750,963,1326,1431,1470,1332,1326,1323,1308,1350,1764,1656,1560,1635,1503,1350,1542,1584,1635,1644,1614,1830,1950,1935,2001,2034,1938,1884,1896,2001,2190,2253,2298,2166,2103,2061,2010,2046,2046,2079,2091,2217,2250,2142,2250,2331,2187,2148,2640,2223,2373,2424,2259,2379,2283,2196,2334,2142,2202,2448,2346,2352,2346,2373,2265,2361,2307,2259,2277,2178,2211,2229,2037,2298,2091,2124,2037,2121,2130,2034,2139,2124,2115,2259,2043,2301,2208,2058,2040,2094,1977,2148,1983,1905,1881,1716,1782,1641,1704,1839,1605,1407,1536,1548,1479,1365,1482,1401,1224,1275,1191,1209,1128,1194,1161,1014,1014,1014,930,786,804,771,903,714,708,678,582]
[36,42,27,51,54,57,66,36,66,63,66,60,84,87,117,111,186,222,219,360,411,513,621,873,1224,1581,1722,1905,1926,1791,1629,1326,1287,1437,1404,1557,1833,1443,1551,1470,1410,1704,1749,1869,1836,2079,2010,2124,2097,2040,1947,1965,2088,2025,2091,2103,2196,2139,2073,2118,2130,1998,2142,1998,2205,2304,2349,2310,2286,2079,2133,2121,2133,2187,2682,2484,2463,2424,2286,2322,2379,2286,2262,2346,2361,2346,2418,2226,2223,2163,2157,2169,2208,2193,2223,2262,2181,2082,2082,2139,2175,2106,2205,2163,2319,2250,2250,2217,1986,2136,2076,2304,2025,2103,2199,2028,1998,1893,1779,1767,1854,1659,1593,1719,1455,1488,1482,1443,1347,1488,1242,1443,1206,1188,1188,1206,1164,1101,1032,1197,933,906,945,780,846,738,753,678,870,624]
[51,36,69,27,39,72,75,78,81,63,84,105,75,108,105,108,207,210,255,366,423,657,705,1158,1917,2556,2946,2940,2634,2313,1830,1512,1374,1443,1356,1596,1689,1668,1647,1938,1530,1545,1872,1779,2055,2040,2049,2148,2058,2034,1926,1860,2007,2040,2055,2355,2223,2217,2184,2205,2076,2154,2139,2307,2193,2541,2277,2247,2268,2136,2154,2196,2265,2256,2469,2784,2532,3009,2400,2283,2367,2298,2184,2160,2484,2334,2427,2220,2247,2295,2247,2211,1992,2217,2118,2322,2112,2151,2010,2196,1950,1908,2055,2244,2370,2133,2160,2124,1917,1947,2001,1995,2160,2145,2613,2190,2046,1977,1869,1770,1824,1749,1602,1701,1626,1533,1554,1383,1419,1368,1425,1350,1287,1104,1194,1071,975,1041,921,939,1077,888,987,852,825,681,786,801,678,618]
[69,45,51,48,39,48,48,57,48,60,66,60,126,135,111,138,165,291,294,300,393,600,837,1458,3021,4125,4587,4767,3879,2991,2385,1812,1551,1533,1578,1773,1947,1851,1806,1731,1500,1536,1614,2100,2001,2166,2505,2457,2082,2046,1995,1968,1959,1959,2085,2295,2313,2115,2010,2103,2109,2145,2181,2193,2145,2535,2691,2442,2331,2202,2094,2259,2358,2313,2706,2658,2952,2775,2628,2409,3024,2379,2577,2355,2409,2679,2421,2427,2310,2259,2181,2283,2103,2145,2292,2343,2136,2181,2238,2055,2157,2112,2097,2454,2397,2511,2415,2118,2055,2043,2139,2154,1992,2280,2571,2526,2364,2397,1920,1824,1899,1782,1728,1752,1575,1632,1371,1380,1452,1380,1470,1296,1224,1182,1044,1167,1143,1005,993,888,846,918,903,798,741,783,774,717,702,687]
[39,57,21,45,54,57,36,69,72,48,75,66,81,129,96,207,207,213,252,360,447,561,1131,1899,3849,5796,6024,5505,4518,3342,2481,1779,1527,1596,1785,1944,2070,1935,1866,1749,1626,1614,1713,1824,2196,2973,2544,2478,2373,2241,2022,2013,2109,1953,2265,2397,2307,2340,2253,2154,2088,2271,2178,2568,2643,2877,2835,2664,2541,2391,2163,2214,2394,2391,2970,3159,3540,3315,2805,2661,2481,2397,2403,3153,2481,2829,2784,2469,2406,2307,2334,2217,2259,2367,2343,2439,2355,2337,2229,2100,2220,2079,2181,2523,2820,3021,2658,2403,2262,2121,2082,2076,2205,2406,2889,3072,2772,2355,2031,1950,2121,1851,1806,1728,1662,1653,1479,1476,1500,1446,1368,1284,1305,1218,1257,1287,1032,948,1035,993,918,915,849,966,690,690,684,666,681,681]
[42,51,51,42,45,48,48,69,57,60,87,84,108,75,150,210,234,249,315,363,465,615,1113,1809,3231,5229,6216,5376,4110,3060,2112,1740,1581,1626,1689,1722,2025,1791,1755,1518,1602,1599,1671,1746,1938,2163,2373,2262,2544,2079,1968,1887,2112,2157,2199,2289,2193,2325,2127,2073,2169,2052,2268,2415,2568,2712,2781,2670,2475,2367,2334,2202,2394,2307,2994,3198,3231,3063,3045,2505,2580,2352,2307,2721,2562,2652,3168,2544,2514,2292,2394,2316,2226,2085,2415,2451,2208,2331,2367,2202,2145,2265,2157,2172,2628,2682,2589,2535,2244,2286,2277,2148,2274,2406,2568,2970,2760,2424,2079,1872,1911,1716,1728,2079,1617,1677,1617,1542,1521,1587,1359,1275,1233,1173,1221,1131,1161,1062,1002,1035,900,981,846,837,852,672,726,681,576,669]
[48,39,42,51,45,63,78,48,63,78,75,81,78,81,144,192,150,246,252,291,468,582,1008,1572,2421,3450,3810,3462,3150,2475,1890,1644,1485,1731,1752,1743,1797,1833,1740,1587,1554,1590,1605,1689,2004,2100,1956,2139,2220,1962,2037,2544,2100,2202,2304,2079,2058,2373,2151,2199,2127,2127,2292,2484,2286,2457,2574,2637,2325,2403,2343,2208,2496,2562,2544,3027,3180,2766,2802,2511,2268,2412,2493,2574,2427,2610,2661,2601,2391,2868,2334,2235,2304,2199,2208,2166,2373,2127,2304,2082,2046,2205,2211,2229,2283,2436,2532,2394,2229,2253,2232,2220,2139,2316,2355,2376,2715,2454,2190,1932,1953,1794,1830,1797,1605,1776,1857,1563,1479,1317,1479,1230,1314,1230,1098,1116,1107,1149,1086,978,912,891,861,870,834,828,711,738,621,681]
[39,51,63,39,66,57,72,33,84,54,69,78,84,123,114,123,198,180,378,318,351,597,690,1077,1647,2067,2427,2400,2211,1875,1617,1539,1476,1596,1632,1767,1647,1539,1662,1614,1635,1638,1692,1707,1899,1905,2007,1926,1827,1836,1821,2043,2118,2010,2169,2526,2142,2127,2184,2016,2082,2139,2115,2358,2346,2433,2481,2325,2295,2316,2238,2310,2391,2544,2598,2664,2772,2616,2538,2517,2475,2406,2544,2403,2607,2562,2451,2451,2604,2349,2283,2289,2655,2298,2268,2262,2172,2283,2265,2151,2064,2265,2082,2121,2130,2349,2373,2343,2148,2208,2199,2106,2202,2253,2190,2310,2142,2223,1965,1941,1953,1788,1809,1662,1836,1569,1623,1596,1521,1623,1347,1344,1335,1197,1146,1152,1032,975,1002,1032,960,912,951,912,744,744,606,705,747,696]
[30,27,30,63,57,69,66,51,75,72,87,78,87,114,144,192,129,219,264,324,420,519,549,732,1017,1269,1452,1500,1338,1284,1428,1392,1407,1548,1587,1725,1704,1518,1644,1584,1458,1668,1686,1728,1824,1827,1980,1917,1833,1917,1857,1767,2115,2037,2211,2205,2199,2076,2424,1950,2094,2097,2109,2106,2163,2280,2403,2268,2298,2235,2274,2355,2235,2466,2523,2556,2670,2565,2535,2424,2415,2484,2469,2412,2688,2742,2604,2523,2208,2166,2331,2130,2259,2304,2202,2760,2175,2211,2241,2157,2166,2160,2247,2136,2016,2193,2052,2136,2175,2112,2100,2229,2154,2136,2196,2307,2025,2010,2091,1890,1851,1629,1677,1749,1716,1641,1626,1494,1524,1419,1386,1359,1455,1263,1068,1116,1269,1029,939,906,924,858,903,855,762,861,798,732,705,609]
[21,48,54,45,42,39,39,15,66,63,66,87,75,132,123,126,222,243,264,243,396,408,648,780,819,1092,1242,1197,1119,1233,1134,1395,1551,1500,1581,1533,1518,1656,1632,1509,1575,1398,1638,1725,1824,1941,1842,1893,1815,1854,1932,1836,1950,1890,2016,2250,2313,2073,2025,2022,2106,2415,2328,2286,2310,2364,2358,2436,2277,2145,2301,2217,2484,2532,2595,2637,2667,2634,2664,2478,2505,2616,2463,2499,2517,2502,2718,2364,2505,2199,2253,2139,2331,2172,2520,2262,2247,2385,2658,2148,2220,2040,2313,2007,2187,2124,2079,2220,2049,2079,2205,2115,2370,2181,2016,2175,1992,2049,1938,1782,1746,1731,1911,1833,1839,1797,1785,1572,1476,1491,1386,1356,1266,1332,1176,1467,1179,1128,1053,948,894,942,897,861,777,825,777,795,735,564]
[33,51,72,57,54,42,54,42,81,54,69,105,93,69,132,123,195,255,267,267,363,477,483,630,777,867,1167,1110,990,1056,1134,1224,1413,1452,1491,1548,1536,1566,1536,1575,1512,1497,1617,1854,1875,1698,1830,1779,1896,1821,1896,1782,2031,2145,2037,2091,2052,2001,2196,2265,2169,2349,2145,2151,2820,2424,2403,2274,2367,2343,2142,2340,2640,2622,2547,2703,2490,2643,2463,2511,2430,2655,2541,2778,2676,2721,2712,2697,2409,2346,2505,2238,2400,2376,2214,2418,2184,2463,2253,2247,2181,2415,2157,2148,2244,2166,2181,2097,2232,2178,2235,2157,2355,2337,2427,2394,2385,2127,1962,1986,1788,1782,1779,1767,1872,1659,1623,1557,1590,1413,1506,1350,1434,1332,1149,1269,1110,966,1023,1155,909,843,831,804,726,750,828,723,627,633]
[48,33,48,45,42,78,60,66,51,78,66,105,93,108,198,228,222,249,234,327,393,408,492,699,903,1056,1230,1104,1284,1086,1077,1290,1452,1506,1590,1533,1533,1611,1575,1614,1632,1530,1611,1980,1797,1851,1875,1875,1875,1875,1809,1806,2097,2022,2118,2199,2061,2127,2190,1932,2190,2259,2352,2370,2382,2742,2298,2244,2325,2415,2325,2673,2340,2787,2874,3018,2904,2895,2685,2598,2538,2724,2958,3030,3165,3162,2769,2787,2604,2547,2463,2313,2352,2556,2427,2463,2334,2160,2142,2166,2247,2094,2280,2517,2322,2349,2166,2091,2184,2232,2244,2274,2547,2667,2457,2463,2406,2274,2004,2043,2046,1821,1860,1806,1692,1836,1650,1554,1566,1509,1359,1317,1284,1179,1233,1266,1143,1038,1008,1038,1197,888,822,969,807,855,699,729,678,633]
[54,33,21,33,72,21,42,27,63,60,114,105,69,126,111,138,168,237,249,312,369,372,594,735,981,1290,1422,1404,1482,1215,1380,1572,1284,1431,1578,1557,1602,1641,1695,1728,1605,1641,1731,1782,1806,1971,1827,1821,1938,1941,1962,1974,2073,1908,2088,2118,2211,2229,2271,2034,2313,2178,2259,2265,2295,2640,2430,2361,2697,2367,2475,2454,2472,2901,3144,3291,3258,3123,2877,2652,2826,2835,2925,3123,3321,3621,3489,3123,2799,2553,2562,2478,2448,2397,2424,2391,2511,2472,2376,2286,2313,2166,2256,2187,2436,2769,2382,2334,2286,2118,2313,2310,2730,3090,3261,2901,2490,2355,2448,2028,2088,1965,1995,1860,1767,1653,1704,1542,1422,1500,1347,1380,1305,1254,1311,1173,1176,1137,1077,1032,927,909,915,1131,891,747,795,678,711,636]
[30,42,51,30,39,24,48,75,63,36,81,84,102,87,141,186,186,243,258,288,441,501,606,765,1068,1800,2190,2058,1965,1572,1452,1413,1203,1512,1863,1620,1830,1827,1620,1650,1680,1644,1614,1794,1800,2097,2193,2058,2016,1938,1908,2037,2022,2193,2064,2301,2253,2286,2154,2352,2247,2316,2235,2184,2430,2646,2643,2514,2523,2415,2541,3054,2892,3075,3363,3939,3663,3651,3294,3090,2724,2988,3315,3663,3858,4131,3810,3549,3153,2847,2688,2493,2580,2637,2709,2736,2448,2310,2364,2343,2469,2277,2460,2469,2265,2427,2289,2205,2721,2223,2445,2442,2952,3306,3801,3423,2925,2805,2322,2190,2184,2016,1809,1842,1710,1617,1584,1545,1527,1584,1395,1443,1374,1332,1242,1221,1104,1095,996,963,1020,987,747,867,768,954,720,633,663,696]
[30,45,78,60,57,39,51,57,66,81,69,66,93,84,117,144,201,261,297,300,393,462,717,861,1350,2154,2706,2754,2256,1773,1452,1287,1335,1560,1650,1824,1965,2298,1677,1653,1770,1671,1773,1794,1851,1965,2364,2019,2064,1983,1986,1938,1965,2235,2196,2310,2250,2457,2268,2262,2274,2307,2433,2442,2556,2526,2499,2703,2409,2409,2457,2622,2853,2955,4383,4158,4185,3726,3450,3234,2934,3219,3513,3945,4554,4980,4581,3945,3759,3108,2745,2766,2448,2547,2784,3018,2673,2616,2520,2445,2334,2367,2265,2349,2469,2481,2445,2376,2442,2454,2427,3279,3102,3690,4431,4182,3654,3063,2616,2226,2202,1935,1836,1851,1737,1773,1794,1560,1590,1479,1464,1425,1386,1263,1290,1239,1185,1140,1056,1023,1047,885,873,924,732,780,831,708,660,816]
[21,24,15,51,51,45,57,72,63,84,69,81,102,87,144,177,234,201,270,315,444,543,630,918,1449,2058,2394,2280,1923,1755,1509,1419,1332,1575,1644,1563,1878,1836,1632,1650,1866,1554,1659,1800,1929,2022,2094,2082,1983,2004,1914,2049,2115,2187,2136,2316,2208,2325,2241,2289,2214,2364,2364,2382,2406,2505,2493,2526,2421,2601,2484,2502,2883,2904,3825,4101,4089,4236,3360,2976,3132,3102,3243,4029,4659,5043,4836,3993,3600,2919,2814,2715,2484,2649,2778,2598,2559,2616,2466,2499,2505,2286,2292,2349,2364,2436,2520,2472,2286,2349,2457,2724,2952,3450,5040,4080,3552,3021,2517,2574,2223,2034,1950,1815,1707,1620,1593,1584,1440,1386,1467,1434,1341,1266,1182,1149,1107,1053,1014,1098,978,951,864,879,723,789,723,678,639,594]
[33,51,60,36,84,78,60,42,81,96,48,84,129,114,126,177,237,198,342,348,417,579,669,909,1299,1665,1887,1758,1764,1425,1506,1380,1491,1677,1671,1845,1770,1707,1677,1617,1629,1554,1590,2049,1812,1923,2079,2088,1965,1941,1956,1899,2046,2175,2322,2316,2265,2340,2337,2280,2289,2307,2370,2472,2517,2511,2409,2679,2499,2454,2643,2574,2844,2967,3183,3660,3660,3492,3060,3000,3339,2847,3144,3999,4056,4419,4086,3654,3240,2850,2631,2637,2664,2706,2712,2649,2763,2409,2289,2187,2382,2373,2397,2343,2352,2247,2406,2307,2361,2262,2394,2499,2688,3054,3513,3567,3399,3315,2628,2322,2055,1794,1815,1848,1779,1629,1746,1623,1569,1335,1317,1431,1293,1347,1278,1248,1119,1050,993,1077,1044,894,990,768,813,774,825,615,714,579]
[33,54,45,33,54,69,48,63,63,93,72,87,99,99,99,141,258,261,261,336,432,588,570,792,999,1332,1368,1407,1365,1185,1356,1413,1554,1551,1653,1836,1701,1707,1596,1542,1611,1680,1674,1683,1776,2016,2331,1863,1968,1935,2097,2007,2118,2172,2268,2355,2187,2286,2073,2241,2163,2496,2361,2502,2466,2439,2568,2553,2442,2340,2412,2625,2673,2871,3093,3078,2895,3084,2772,2583,2640,2484,2964,3846,3621,3597,3609,3651,2979,2931,2733,2625,2550,2514,2565,2481,2535,2469,2739,2427,2385,2379,2448,2535,2457,2301,2538,2181,2367,2220,2481,2427,2634,2565,2805,2907,2922,2754,2367,2337,1989,2373,1875,1938,1902,1797,1671,1722,1404,1506,1365,1470,1278,1224,1332,1152,1143,1143,1062,957,894,909,870,840,780,741,654,621,690,633]
[66,39,36,54,60,39,72,36,51,72,57,87,117,72,117,141,195,237,255,315,414,546,681,744,870,1038,1164,1134,1074,1191,1260,1365,1548,1620,1566,1743,1542,1494,1554,1467,1443,1488,1644,1794,1782,1821,1893,1890,1908,2253,1998,2010,2061,2046,2253,2214,2217,2241,2190,2109,2193,2370,2466,2496,2337,2517,2418,2616,2472,2481,2538,2688,2679,2616,2658,2931,3057,2850,2700,2616,2493,2514,2562,2904,3048,2973,3747,2925,2589,2604,2553,2556,2628,2433,2433,2394,2577,2592,2295,2244,2418,2349,2337,2346,2670,2391,2283,2289,2175,2337,2313,2361,2454,2526,2559,2592,2409,2400,2232,2016,2088,1935,1857,2151,1767,1740,1731,1614,1506,1368,1401,1284,1233,1224,1179,1173,1134,1200,945,1014,981,894,888,762,891,780,684,681,567,600]
[60,42,57,63,81,84,90,51,78,87,108,87,102,114,198,174,246,309,327,378,528,579,657,837,999,1038,1149,969,993,1143,978,1254,1467,1521,1626,1410,1548,1701,1452,1491,1518,1578,1527,1665,1809,1770,1908,1689,1827,1893,1896,2151,2595,2223,2148,2280,2232,2181,2139,2247,2358,2328,2433,2340,2424,2673,2358,2652,2343,2352,2418,2496,2562,2535,2652,2577,2763,2604,2535,2574,2478,2568,2826,2529,2775,2799,2790,2781,2751,3006,2484,2673,2430,2466,2577,2535,2415,2421,2565,2394,2382,2271,2301,2430,2301,2364,2592,2487,2490,2487,2358,2247,2295,2421,2409,2235,2196,2202,1965,2145,1986,2061,1824,1707,1836,1743,2046,1575,1578,1479,1461,1347,1425,1326,1182,1128,1167,990,1005,1029,978,858,879,825,825,771,663,705,666,588]
[36,42,51,27,45,57,51,75,57,57,78,96,84,117,117,210,237,255,309,348,483,567,687,858,1014,1236,1296,1152,1293,1098,1200,1344,1494,1563,1623,1611,1758,1500,1635,1434,1557,1554,1617,1728,1830,1884,1812,1836,1884,1884,1911,2211,2010,2097,2184,2535,2118,2118,2208,2097,2151,2250,2436,2352,2565,2613,2601,2382,2535,2226,2316,2499,2430,2604,2580,2304,2697,2634,2649,2427,2517,2469,2442,2679,2694,2823,2661,2628,2583,2529,2397,2442,2886,2487,2652,2484,2448,2514,2310,2376,2340,2334,2409,2286,2439,2514,2325,2271,2397,2253,2574,2250,2343,2361,2298,2163,2253,2151,2046,2100,2094,1962,1980,1785,1533,1800,1704,1668,1443,1470,1746,1428,1347,1173,1170,1161,1146,1023,966,993,867,894,870,801,780,687,714,762,669,672]
[30,51,51,51,36,33,39,36,72,66,69,117,102,123,129,180,204,282,321,342,432,675,831,1158,1368,1593,1731,1758,1500,1458,1395,1248,1482,1689,1725,1896,1842,1740,1515,1749,1608,1779,1572,1776,1821,1836,2031,1935,2055,2022,1941,1992,2136,2157,2463,2313,2385,2175,2661,2331,2184,2217,2514,2679,2565,2556,2655,2766,2421,2547,2436,2385,2619,2589,2544,2619,2661,2487,2553,2628,2520,2505,2523,2610,2697,2775,2703,2652,2517,2571,2697,2673,2631,2637,2547,2736,3108,2616,2394,2547,2322,2559,2517,2361,2532,2535,2403,2436,2361,2433,2481,2454,2352,2454,2529,2244,2355,2241,2250,1950,2055,2064,1923,1722,1890,1749,1746,1719,1587,1497,1413,1335,1284,1401,1275,1116,1209,1125,1095,942,924,819,945,852,825,816,675,687,774,666]
[57,51,51,45,57,51,87,48,63,108,48,96,102,126,120,132,213,297,318,363,405,507,825,1314,1857,2310,2457,2325,2277,1938,1482,1413,1449,1770,2037,2004,2061,2058,1836,1707,1653,1680,1704,1767,2004,1953,2064,1959,1932,2067,2025,2202,2286,2298,2406,2403,2373,2406,2361,2415,2457,2694,2475,2424,2751,2844,2907,2976,2802,2586,2481,2499,2580,2502,2757,2538,2520,2457,2484,2673,2481,2463,2400,2625,2811,2802,2634,2733,2859,2487,2589,2667,2565,2682,2691,2610,2601,2511,3030,2652,2523,2538,2526,2517,2805,2730,2547,2478,2619,2409,2313,2451,2610,2556,2583,2592,2391,2424,2151,2304,2022,2049,1938,1875,1779,1671,1626,1701,1557,1572,1323,1341,1293,1254,1155,1158,1407,1116,1026,978,1056,939,894,864,825,765,729,660,654,675]
[39,63,48,30,57,60,75,48,42,51,90,102,93,207,108,195,189,237,306,387,513,723,1047,1524,2112,2973,3396,3981,2967,2280,1788,1644,1632,1716,2076,2613,2469,2391,2169,1836,1836,1629,1794,1938,1977,2052,2199,2205,2214,2154,2109,2148,2154,2334,2400,2364,2610,2487,2535,2526,2637,2514,2451,2529,2898,3513,2871,2730,2796,2685,2475,2559,2451,2730,2721,2628,2634,2547,2529,2526,2622,2508,2556,2640,2718,2538,2673,2655,2523,2484,2673,2637,2640,2748,2883,2775,2730,2628,2694,2619,2598,2670,3393,2787,2823,2910,2610,2736,2565,2634,2502,2508,2823,2754,2973,2670,2520,2541,2187,2247,2124,2088,1938,1797,1728,1620,1590,1659,1560,1554,1452,1374,1257,1305,1209,1275,1098,1047,1017,1185,927,894,840,915,834,732,684,687,735,564]
[39,51,39,57,45,84,33,75,78,69,72,78,135,102,129,183,240,252,270,402,513,747,1137,1464,2700,3789,4146,4062,3177,2619,2364,1506,1641,1704,2487,3054,2907,2682,2283,1995,1770,1668,1872,1908,2037,2403,2265,2166,2094,2313,2052,2082,2232,2511,2424,2691,2781,2502,2514,2415,2415,2391,2442,2502,2640,3072,2952,2880,3315,2769,2541,2502,2442,2619,2820,2838,2676,2673,2613,2622,2634,2658,2610,2739,2871,2784,2850,2709,2661,2568,2586,2607,2802,2742,2856,2925,2946,2616,2529,2589,2505,2694,2721,2787,3045,3636,2835,2592,2565,2634,2541,2760,2787,2919,3351,2988,2784,2484,2316,2193,2025,2046,1977,1917,1743,1764,1686,1602,1584,1584,1437,1470,1299,1371,1278,1095,1140,1014,1017,1005,972,813,942,780,825,720,681,729,666,651]
[30,42,48,33,63,21,51,48,63,90,78,87,87,114,135,207,213,234,276,408,465,768,1137,1491,2385,3591,3714,3732,3234,2334,1926,1665,1626,1956,2724,2670,2757,2550,2181,1821,1839,1827,1827,2067,2022,2271,2448,2322,2268,2217,2148,2217,2262,2487,2436,2715,2655,2790,2466,2397,2289,2496,2484,2622,2943,2757,2886,2982,2823,2742,2754,3072,2616,2670,2658,2895,3045,2682,2484,2559,2580,2673,2598,2637,2796,2736,2691,2784,2718,2535,2655,2844,2652,2841,2907,2970,2892,2859,2637,2622,2622,2640,2559,2643,2973,3114,2925,2802,3204,2643,2523,2616,2742,3090,3093,2970,2934,2613,2430,2157,2073,1863,1935,2061,1770,1812,1701,1632,1554,1455,1509,1395,1449,1302,1230,1107,1113,1131,1005,1146,972,846,906,777,783,762,807,609,726,630]
[9,51,54,30,42,54,51,75,69,81,99,78,102,126,147,213,246,210,303,372,444,672,954,1503,2067,2715,2817,2730,2490,2025,1584,1644,1680,1872,1935,2322,2496,2658,2040,1941,1740,1623,1788,2097,2109,2211,2181,2061,2088,1899,2097,2106,2223,2331,2388,2673,2688,2676,2511,2379,2508,2391,2511,2715,2568,2775,2748,2718,2637,2658,2490,2622,2535,2835,3234,2904,2433,2517,2601,2553,2769,2655,2478,2580,2682,2745,2643,2664,2502,2811,2781,2646,2667,2946,2772,2904,3006,2775,2799,2571,2691,2670,2874,2823,2910,2970,2778,2598,2472,2547,2649,2916,2661,2730,2625,2841,2661,2370,2211,2217,2055,1977,1866,1947,1758,1617,1806,1578,1623,1392,1464,1335,1338,1350,1152,1212,1131,1074,1104,960,927,882,852,807,822,774,747,636,708,663]
[60,48,48,48,54,39,72,81,66,81,90,78,108,144,105,231,219,219,321,366,627,609,930,1338,1773,2061,2058,1737,1671,1380,1593,1437,1800,1791,2112,1962,1965,2277,1839,1812,1713,1818,2013,2031,2082,2031,2043,2154,2004,2067,2079,2334,2430,2379,2445,2463,2484,2475,2382,2388,2526,2493,2580,2565,2661,2742,2676,2757,2718,2472,2508,2652,2628,2874,3258,2649,2577,2541,2628,2595,2649,2589,2634,2691,2730,2727,2697,2541,2577,2814,2730,2688,2688,2841,2688,2931,2847,2682,2640,2679,2706,2694,2784,2748,2847,2628,2736,2466,2664,2589,2640,2793,2514,2595,2634,2607,2361,2223,2028,2055,2052,1794,1956,1749,1626,1668,1683,1605,1347,1488,1407,1392,1383,1200,1218,1134,1113,969,975,954,990,846,867,735,762,717,720,588,528,660]
[42,63,63,45,30,63,66,63,60,60,96,69,126,132,192,192,210,231,324,354,471,498,687,807,1008,1377,1374,1371,1275,1245,1305,1383,1587,1617,1716,1848,1764,1686,1797,1776,2079,1677,1788,1890,2061,1917,2250,1965,2106,1986,2082,2238,2304,2418,2568,2415,2481,2529,2019,2334,2526,2361,2478,2490,2628,2565,2448,2658,2466,2544,2583,2661,2526,2610,2625,2604,2493,3189,2592,2478,2598,2691,2628,2559,2748,2541,2721,2544,2583,2439,2598,2532,2721,2667,2706,2874,2715,2784,2820,2631,2634,2688,2625,2658,2658,2829,2577,2526,2454,2646,2493,2484,2427,2298,3021,2469,2412,2181,2091,1980,2061,1887,1857,1797,1860,1710,1551,1665,1431,1488,1326,1446,1059,1281,1143,1131,1074,999,1068,1026,894,777,759,714,696,702,678,678,600,600]
[36,48,54,54,48,63,48,42,54,57,108,93,132,96,132,222,216,315,306,348,447,447,588,774,918,975,1041,1080,933,1143,1233,1209,1362,1494,1539,1563,1773,1710,1731,1704,1752,1923,1869,2286,1902,2028,2025,2157,1986,1995,2046,2163,2307,2277,2271,2457,2355,2262,2268,2346,2307,2355,2457,2457,2670,2634,2457,2451,2274,2409,2514,2613,2442,2580,2550,2778,2619,2565,2445,2628,2970,2457,2511,2559,2502,2832,2490,2655,2541,2502,2694,2727,2775,2718,2862,2772,2868,2598,2616,2634,2583,2583,2622,2799,2820,2733,2724,2640,2601,2493,2436,2604,2517,2580,2586,2364,2268,2610,2217,2097,1860,1869,1863,1776,1677,1725,1704,1605,1497,1506,1359,1398,1314,1290,1266,1191,1050,960,954,852,768,771,846,660,765,735,720,633,591,582]
[36,69,60,42,48,72,48,66,108,81,75,108,129,138,147,180,219,279,357,393,438,576,654,777,837,984,975,1062,1032,1122,1152,1278,1419,1470,1593,1617,1755,1707,1674,1758,1791,1890,1902,1863,2049,2463,2181,2079,2124,2106,2208,2196,2295,2541,2520,2427,2484,2427,2310,2388,2427,2394,2565,2568,2691,2457,2604,2622,2406,2490,2481,2574,2589,2637,2718,2439,2691,2571,2418,2394,2451,2598,2616,3273,2601,2694,2634,2643,2856,2694,2640,2871,2934,3048,3216,2979,3021,2829,2970,2583,2691,2697,2763,2859,2685,2970,2937,2736,2754,2748,2523,2457,2421,2625,2382,2424,2466,2175,2040,2103,2325,1884,1914,1833,1749,1692,1554,1560,1458,1371,1386,1425,1344,1176,1005,1077,1053,1011,1014,984,849,888,837,819,690,639,705,678,609,600]
[57,51,39,51,54,33,45,54,48,54,102,120,105,132,105,252,288,345,315,384,477,597,639,777,897,990,1014,1104,1047,1116,1128,1314,1575,1575,1680,1779,1665,1794,1824,1677,1872,2070,1869,2061,2052,2052,1995,2238,2586,2295,2148,2367,2436,2631,2505,2667,2664,2466,2544,2487,2316,2436,2526,2421,2691,2691,2667,2526,2529,2385,2499,2526,2721,2643,2697,2616,2784,2658,2730,2511,2622,2511,2670,2730,2700,2754,3438,2511,2697,2862,2979,2847,2982,3222,3219,3333,3351,3174,3042,2766,2898,2757,2979,3189,3078,3192,3156,3147,2916,2595,2559,2775,2838,2751,2850,2835,2340,2403,2346,2139,2151,2106,2004,2238,1731,1716,1626,1530,1470,1515,1377,1341,1275,1191,1188,1113,1134,1032,957,927,891,834,870,855,765,741,771,513,705,615]
[54,39,42,54,57,51,54,75,72,96,72,93,93,129,258,252,261,288,360,336,498,555,657,861,1020,1155,1224,1251,1323,1188,1272,1314,1554,1602,1617,1725,1812,1968,1923,1800,1731,1908,1845,2046,2001,2316,2325,2250,2319,2328,2214,2496,3108,2733,2838,2940,2817,2766,2631,2472,2535,2496,2466,2568,2550,2658,2697,2463,2529,2490,2727,2520,2694,2748,2832,2766,2658,2658,2682,2601,2688,2703,2562,2931,2889,2937,2772,2664,2493,3255,2853,3180,3213,3603,3762,3510,3705,3429,3132,2943,2850,3003,3207,3315,3459,3567,3636,3174,3030,2667,2595,2901,2967,2859,3006,2877,2640,2334,2337,2061,2010,2013,1986,1902,1740,1797,2028,1518,1491,1545,1443,1353,1206,1272,1161,1098,960,1101,1011,963,861,948,876,846,774,780,681,684,642,573]
[36,15,21,45,60,78,42,54,72,57,111,117,90,99,126,192,237,351,339,510,579,606,648,732,1044,1242,1227,1272,1290,1263,1239,1353,1602,1719,1674,1875,1707,1770,1842,1869,1842,1890,2043,1986,2073,2214,2133,2454,2187,2358,2361,2559,2610,3060,3306,3927,3375,3039,2802,2814,2496,2343,2724,2562,2781,2745,2790,2778,2679,2493,2670,2541,2700,2745,2976,2997,3129,2784,2559,2703,2724,2649,2853,2937,2832,3192,3051,2928,2679,2715,3012,3174,4116,4020,4050,4095,4095,3717,3354,3105,3075,3225,3246,3489,4014,3771,3621,3366,2928,2856,2952,3042,3279,3384,3285,2844,2580,2703,2388,2229,2079,1995,1866,1908,1803,1686,1566,1614,1593,1764,1443,1314,1266,1149,1101,1227,1140,1026,900,987,888,732,822,768,852,720,687,660,531,660]
[66,51,27,42,54,63,45,60,63,96,48,105,87,99,147,180,327,327,363,468,570,753,669,855,1107,1257,1353,1305,1395,1170,1341,1344,1599,1584,1836,1830,2082,1878,2061,1998,1938,1938,1884,1917,2172,2352,2265,2235,2244,2385,2334,2538,2898,3093,3429,3696,3510,3375,3654,2949,2742,2607,2556,2658,2742,2865,2853,2619,2583,2643,2448,2652,2781,3078,2916,2949,3075,2865,2631,2712,2664,2682,2778,2949,3012,3132,3093,2805,2664,2808,2877,3192,3252,3924,4284,5142,3762,3414,3291,3183,3012,3315,3324,3693,3942,4041,3783,3402,2979,2955,3075,3153,3393,3702,3537,3279,3003,2796,2373,2250,2220,2223,1857,1857,1785,1611,1665,1776,1608,1539,1581,1431,1572,1251,1257,1158,1068,1146,909,789,816,834,876,741,783,633,723,705,558,579]
[42,15,42,27,21,66,66,72,45,75,51,111,117,150,198,210,309,300,312,507,516,618,705,852,1299,1230,1335,1323,1455,1314,1329,1488,1719,1728,1698,1908,1866,1917,1854,1968,1995,2040,2052,2097,2256,2361,2331,2304,2109,2262,2415,2748,2907,3063,3429,3603,3552,3324,3039,2895,2799,3189,2595,2622,2859,2757,2736,2604,2685,2661,2754,2694,2877,2880,2736,2979,2889,2742,2763,2760,2760,2655,2823,2817,3063,2964,3102,2931,2892,2835,2754,3096,3267,3648,4329,4017,3870,3666,3864,3021,2949,3087,3075,3447,3702,3624,3273,3093,2850,2850,2850,2964,3120,3651,3510,3138,2991,2457,2391,2364,2052,2073,1953,1878,1848,1740,1719,1614,1401,1548,1443,1368,1335,1218,1236,1338,1077,933,1002,867,801,858,762,780,714,729,684,642,558,588]
[42,69,54,36,63,78,27,60,72,84,63,90,120,117,144,222,231,366,387,360,543,600,720,876,1047,1080,1635,1344,1326,1317,1404,1479,1575,1731,1722,1857,1773,1980,1938,1929,2022,2079,2055,2100,2292,2175,2319,2340,2298,2301,2436,2493,2814,2658,3225,3453,3189,3057,2790,2658,2760,2559,2511,2496,3381,2787,2397,2640,2748,2496,2367,2640,2613,2763,2688,2838,2655,2763,2628,2613,2736,2664,2607,2703,2943,2622,2808,2508,2598,2592,2670,3066,3024,3642,3558,3543,3450,3135,3165,2568,2787,3297,2898,3249,3303,3261,3300,2964,2769,2541,2709,2529,2772,3180,3087,2976,2589,2592,2241,2271,1965,1920,1995,1851,1722,1653,1617,1611,1401,1518,1398,1365,1290,1176,1191,1098,1095,1011,1170,966,840,834,747,774,777,690,723,606,591,642]
[18,45,33,45,84,57,69,60,54,96,54,102,114,108,150,258,288,282,372,447,612,651,867,1002,1029,1140,1107,1299,1323,1503,1413,1509,1602,1611,1521,1695,1719,1857,1890,1974,1917,2028,2070,2166,2304,2202,2361,2289,2496,2421,2199,2361,2394,2694,2949,2922,2865,2622,2445,2562,2400,2586,2445,2640,2517,2652,2577,3012,2709,2745,2631,2445,2565,2724,2628,2712,2637,2517,2583,2523,2448,2535,2520,2742,2592,2637,2535,2523,2679,2625,2736,2577,2745,2979,3186,3252,3285,3138,2853,2721,2766,2643,2964,2892,3543,3144,2883,2757,2598,2544,2484,2457,2610,2661,2577,2673,2433,2310,2283,2211,2034,1857,1848,1734,1695,1581,1584,1560,1428,1449,1437,1377,1290,1302,1026,1209,1083,996,942,951,1005,975,867,732,687,690,624,582,615,525]
[39,39,48,39,48,60,72,21,51,57,105,99,114,129,186,237,243,309,408,453,681,759,906,927,1098,1134,1311,1089,1194,1347,1353,1377,1866,1620,1758,1704,1824,1569,1731,1929,1983,1968,2187,2229,2349,2493,2244,2355,2307,2289,2448,2361,2526,2502,2631,2664,2568,2532,2577,2412,2337,2640,2634,2565,2538,2427,2574,2631,2577,2505,3147,2424,2415,2682,2379,2571,2523,2307,2349,2562,2523,2709,2685,2583,2655,2583,2490,2439,2583,2541,2760,2586,2940,2748,2862,3012,3051,2604,2721,2751,2718,2676,2676,2751,2940,2724,2757,3213,2409,2604,2505,2502,2418,2484,2538,2589,2316,2091,2043,1917,1794,1998,1917,1722,1761,1611,1506,1434,1524,1359,1404,1257,1266,1299,1089,1020,1017,996,813,885,906,744,714,813,909,567,672,624,597,528]
[24,57,57,51,66,48,60,84,69,72,93,117,114,135,120,228,261,348,453,537,654,777,963,1098,1086,1452,1341,1446,1341,1311,1329,1548,1566,1659,1755,2130,1743,1662,1632,1908,1875,2085,2169,2265,2448,2634,2379,2448,2394,2202,2343,2280,2445,2712,2553,2706,2565,2562,2490,2379,2439,2484,2607,2667,2748,2766,2673,2544,2676,2628,2523,2562,2568,3240,2652,2526,2679,2697,2547,2691,2613,2409,2622,2697,2709,2622,2445,2637,2535,2496,2610,2625,2664,2913,2790,2646,2949,2754,2958,2565,2892,2778,2907,2979,3111,2994,2775,2652,2544,2385,3087,2436,2367,2523,2424,2412,2340,2121,2145,2016,2004,1803,1740,1707,1755,1599,1476,1389,1449,1359,1260,1338,1152,1137,1128,1149,1065,1038,942,969,771,858,792,792,732,702,711,762,561,492]
[39,33,45,66,63,51,51,75,90,129,93,141,141,222,237,246,306,399,441,429,867,918,1002,1389,1629,1791,1764,1569,1431,1413,1308,1560,1677,1911,1788,1668,1851,1830,2193,1869,1965,2163,2310,2457,2625,2670,2742,2625,2463,2430,2469,2319,2448,2532,2769,2778,2763,2484,2550,2481,2511,2724,2460,2622,2808,2784,2793,2787,2955,2616,2625,2586,2511,2706,2535,2799,3408,2592,2562,2493,2601,2700,2577,2814,2730,2538,2496,2571,2496,2535,2628,2586,2577,2853,2955,3156,2952,2766,2832,2592,2799,2745,2793,2907,2883,2931,2664,2427,2490,2436,2295,2451,2367,3000,2298,2352,2301,2313,2106,2133,1998,1779,1743,1704,1740,1545,1527,1422,1380,1383,1359,1248,1146,1098,1059,999,957,972,960,843,873,819,777,762,675,699,675,615,585,576]
[36,48,45,60,36,42,42,66,48,60,105,90,108,177,186,255,288,384,429,564,816,1032,1281,1785,1974,2415,2556,2277,1860,1647,1542,1449,1653,1854,1983,1857,1941,1932,1875,2055,1971,2649,2487,2754,2877,2883,2835,2700,2502,2526,2526,2640,2655,2916,2946,3021,2967,2838,2715,2607,2517,2571,2625,2994,2955,3165,3015,2994,2799,2679,2631,2679,2604,2616,2631,2766,2718,2703,2544,3138,2580,2595,2847,2919,2943,2850,2694,2709,2460,2622,2703,2541,3021,3003,3153,3318,3120,3003,2883,2652,2940,2760,3081,3186,3240,3033,2889,2802,2772,2379,2442,2436,2484,2403,2382,2442,2805,2112,2052,2082,1860,1992,1770,1653,1635,1521,1626,1446,1425,1401,1365,1230,1257,1155,1149,1104,990,984,984,876,813,783,792,774,741,585,621,582,555,600]
[24,48,45,72,54,69,75,81,51,69,81,138,93,129,225,222,339,369,456,633,756,1212,1785,1989,2709,3126,3216,3126,2463,1917,1650,1656,1764,1920,2046,2178,2172,2040,2043,2055,2046,2265,2532,2934,3987,3366,3234,3192,3105,2610,2646,2559,2958,3150,3420,3678,3414,3327,2907,2694,2559,2499,2766,3159,3324,3447,3468,3138,2889,2748,2484,2694,2631,2724,2877,2961,2895,2853,2682,2700,2637,2880,3279,3195,3345,3489,3081,2838,2658,2847,2733,2640,3195,3222,3441,3813,3594,3210,3060,2796,2832,3180,3159,3366,3522,3351,3033,2802,2673,2571,2586,2337,2445,2457,2676,2613,2481,2301,2127,2523,2007,1785,1836,1620,1695,1518,1605,1476,1386,1323,1293,1263,1185,1197,1179,1014,1047,978,930,783,891,849,882,687,714,759,561,573,639,474]
[45,51,72,63,39,48,78,66,66,93,90,108,192,234,258,276,405,477,657,861,1410,1851,2400,3747,4416,4227,3843,3018,2139,1599,1602,1590,1965,2145,2241,2313,2322,2043,2148,2103,2388,2583,3156,3774,3837,3903,4215,3009,2928,2790,2829,2790,3351,3831,3867,3954,3387,3162,2751,2703,2742,2721,3210,3432,3663,3306,3003,2847,2688,2514,2472,2622,2766,3060,2949,2796,2850,2589,2673,2793,2895,3012,3453,3951,3285,3288,2976,2871,2955,2613,3084,3198,3453,3690,3765,3474,3243,3072,3006,3096,3582,3621,4008,3447,3480,3075,3003,2817,2808,2598,2478,2610,2529,2724,2655,2568,2451,2157,2031,1815,2157,1656,1644,1692,1602,1512,1458,1383,1179,1242,1128,1266,1140,1161,984,999,912,819,840,852,702,681,714,768,558,687,603,513,507,450]
[39,42,78,75,72,51,54,57,54,51,90,105,105,129,264,270,351,456,486,633,762,1350,1659,2592,3897,4974,4857,4326,3165,2352,1677,1815,1839,2013,2205,2286,2388,2280,2196,2184,2070,2433,2496,2943,3672,4071,3834,3804,3918,3024,2481,2685,2958,3372,3861,4074,3915,3762,3261,2949,2640,2580,2595,3012,3303,3492,3438,3267,2994,2814,2619,2415,2739,2682,2754,3000,3075,2730,2637,2796,2793,2916,3129,3513,3681,4326,3162,3045,2964,2877,2811,3063,3138,3363,3753,3696,3459,3054,3051,3165,3213,3552,3795,4062,3834,3597,3375,3033,3030,2733,2778,2478,2451,2607,2718,2667,2307,2442,2217,2130,1974,1800,1734,2070,1632,1626,1674,1491,1521,1263,1266,1164,1179,1146,1122,1032,912,912,1029,756,846,771,687,705,726,594,588,537,576,594]
[27,45,48,69,63,51,69,87,78,111,78,102,147,186,270,240,297,345,405,642,891,1182,1569,2211,3288,4416,4173,3657,2916,2283,1740,1602,1755,1986,2025,2481,2511,2346,2091,2004,2181,2091,2589,2904,3318,4365,3210,3399,3240,2733,2688,3303,2913,3165,3663,4002,3882,3453,3033,2841,2583,2463,2865,2895,3198,3255,3318,3183,2868,2589,2463,2604,2424,2631,2862,2910,2922,2709,2820,2682,2553,3006,2886,3231,3378,3588,3192,2874,2874,3129,2556,2859,2943,3240,3591,3600,3471,3219,2931,2928,2979,3423,3540,3894,4140,3801,3426,3234,3090,2769,2466,2553,2556,2373,2796,2556,2358,2334,2103,2043,2055,1854,1674,1824,1761,1650,1719,1425,1404,1323,1194,1140,1173,1146,1125,999,981,978,999,813,801,747,747,681,663,624,612,513,531,552]
[39,33,30,39,45,45,48,69,69,81,114,132,117,204,255,276,297,360,474,588,816,942,1377,2025,2625,3060,3288,2637,2457,1908,1797,1725,1737,2007,2127,2238,2400,2079,1968,2076,2103,2052,2559,2862,2898,3282,3300,3003,2583,2583,2442,2502,2721,2952,4104,3411,3270,2994,2853,2721,2511,2559,2769,2823,3066,3153,3168,2778,2649,2610,2556,2601,2634,2586,2733,2769,2583,2652,2460,2355,2580,2598,2991,3054,3102,3264,3240,2823,2787,2511,2664,2622,3351,3069,3321,3231,3141,2955,2754,2898,2805,3300,3363,3591,3543,3468,3213,3063,2847,2673,2673,2460,2547,2562,2385,2406,2214,2268,2055,2004,2004,2025,1815,1797,1644,1662,1485,1380,1455,1620,1158,1266,1176,1131,1074,1035,966,873,804,906,768,606,681,681,660,705,633,561,555,534]
[39,36,45,66,57,42,57,69,93,51,81,144,129,111,138,141,303,306,396,498,909,816,1116,1413,2025,2442,2367,2196,1896,1701,1812,1731,2004,1866,2139,1983,1992,2073,1761,1881,2016,2016,2364,2526,2802,2808,2961,2520,2571,2385,2493,2475,2619,2790,2952,2970,2994,3222,2598,2583,2499,2388,2514,2595,2754,2679,2673,2607,2523,2520,2481,2304,2532,2499,2538,2427,2508,2502,2493,2310,2388,2511,2721,2790,2997,2865,2583,2565,2370,2382,2535,2445,2448,2781,2850,3654,2775,2661,2598,2712,2700,2544,2880,3216,3255,3252,2949,2829,2847,2661,2460,2427,2364,2301,2301,2385,2223,2229,2037,1962,1941,1827,1707,1731,1617,1530,1473,1320,1410,1239,1257,1371,1398,1053,924,1008,1098,969,945,828,783,822,708,663,654,663,588,459,558,543]
[45,33,36,60,78,66,42,63,48,108,84,69,126,180,192,255,333,315,396,546,726,777,927,1383,1554,1623,1629,1683,1365,1440,1536,1725,1905,1923,2127,2028,2127,1890,1860,1878,1926,1998,2106,2268,2469,2442,2433,2304,2286,2298,2457,2295,2496,2541,2679,2856,2703,2454,2469,2319,2847,2388,2232,2301,2454,2520,2571,2358,2502,2517,2286,2460,2478,2334,2427,2316,2556,2289,2277,2262,2382,2298,2346,2592,2472,2418,2499,2436,2349,2397,2319,2286,2370,2439,2412,2676,2589,2538,2820,2484,2613,2415,2751,2688,3045,2991,2799,2730,2484,2550,2466,2304,2397,2316,2313,2337,2160,2073,2025,2007,1974,1878,1689,1671,1635,1632,1389,1437,1461,1368,1125,1212,1095,1029,1065,1125,867,906,825,849,738,762,738,576,540,600,540,591,489,561]
[45,72,54,69,63,36,60,60,51,51,78,144,153,138,231,201,273,318,381,501,735,915,951,1203,1248,1659,2097,1587,1317,1551,1545,1680,1716,2112,2097,2124,2166,2037,2040,1926,1938,2082,1875,2268,2334,2235,2244,2325,2361,2205,2136,2460,2238,2316,2583,2673,2565,2379,2331,2256,2322,2289,2250,2976,2562,2352,2280,2358,2439,2253,2361,2343,2343,2292,2607,2397,2352,2547,2208,2277,2241,2397,2250,2412,2448,2340,2430,2229,2106,2361,2157,2259,2244,2382,2427,2286,2373,2580,2448,2298,2859,2571,2760,2883,2679,2937,2772,2634,2478,2448,2286,2265,2238,2208,2118,2211,2193,2160,1893,1965,1905,1737,1716,1620,1473,1584,1530,1248,1308,1230,1131,1032,975,1086,972,981,912,870,1020,789,822,708,630,594,597,546,609,468,486,447]
[33,60,33,72,39,48,60,69,87,63,78,108,126,117,192,150,306,381,453,558,696,933,1050,1248,1626,1719,1896,1842,1590,1782,1581,1731,1884,2121,2295,2313,2454,2250,2109,1812,2061,2040,2175,2172,2385,2259,2370,2244,2517,2199,2079,2298,2556,2511,2595,2604,2451,2469,2379,2454,2145,2172,2250,2349,2241,2385,2727,2295,2295,2319,2364,2169,2403,2424,2460,2511,2463,2424,2409,2241,2070,2175,2250,2295,2205,2139,2199,2442,2142,2091,2280,2202,2148,2472,2379,2238,2304,2289,2442,2412,2625,2457,2574,3591,2928,2808,2790,2817,2517,2379,2496,2361,2346,2400,2334,2022,2208,2172,2055,1824,1947,1731,1776,1638,1656,1485,1350,1350,1254,1155,1122,1104,1137,975,1002,927,837,882,849,837,786,717,663,642,684,546,573,525,531,423]
[27,45,42,60,45,24,78,84,66,90,96,78,135,120,150,219,303,351,462,513,816,906,1251,1752,2013,2193,2064,2229,1902,1836,1524,1803,2478,2529,2802,2838,2883,2853,2511,2199,2010,2061,2259,2226,2466,2598,2523,2559,2568,2319,2277,2385,2559,2919,3099,2706,2808,2490,2430,2298,2304,2061,2343,2283,2292,2358,2196,2334,2325,2778,2175,2301,2403,2472,2583,2499,2427,2478,2409,2304,2238,2028,2310,2304,2184,2358,2376,2250,2253,2094,2100,2310,2211,2409,2391,2367,2250,2184,2400,2292,2586,2703,3054,3324,3306,3270,4101,3153,2862,2406,2415,2436,2610,2520,2508,2322,2217,2157,2121,2073,1827,1644,1641,1524,1479,1569,1464,1416,1209,1284,1194,1149,921,981,1026,864,957,927,696,699,735,654,606,666,699,537,552,519,522,534]
[39,48,36,48,54,63,57,42,78,63,78,93,123,117,135,276,279,492,462,588,828,1215,1722,2016,2319,2751,3018,2835,2514,2043,1866,1980,2304,2727,3315,4239,3681,3393,2700,2379,2193,1902,2130,2415,2802,3060,3039,2805,2574,2325,2400,2418,2793,3201,3357,3477,3111,2931,2586,2385,2286,2070,2361,2349,2322,2472,2526,2400,2391,2163,2190,2220,2769,2418,2598,2817,2679,2475,2283,2271,2259,2265,2172,2373,2226,2337,2205,2301,2307,2163,2268,2301,2544,2748,2745,2508,2367,2337,2391,2439,2808,2967,3375,3774,3813,4359,3867,3720,3225,3423,2652,2616,2508,2367,2787,2481,2490,2322,2031,2058,2052,1812,1599,1530,1488,1506,1488,1386,1092,1083,1188,1227,1047,1047,984,957,837,891,831,774,813,705,654,624,696,537,639,579,513,543]
[39,45,27,30,42,87,57,69,75,84,114,117,123,144,144,258,318,369,474,660,834,1398,1683,2343,3216,3789,3873,3528,2814,2211,1923,2094,2319,2982,3819,4545,4506,4617,3081,2433,2013,2184,2211,2511,2802,3147,3219,2841,2592,2373,2268,2442,2631,3087,3555,3726,3660,3423,3012,2304,2208,2307,2370,2325,2343,2514,2475,2220,2292,2391,2196,2229,2547,2508,2760,3285,2580,2613,2427,2205,2076,2103,2274,2235,2112,2163,2139,2217,2151,2046,2247,2466,2544,2700,2592,2652,2469,2406,2361,2316,2847,3237,3516,4638,4728,4800,4389,3690,2973,2745,2490,2733,3201,2829,2811,2871,2574,2268,2229,1911,1896,1710,1758,1596,1527,1578,1338,1290,1200,1182,1161,1074,1146,948,951,846,798,777,657,753,672,675,630,609,663,591,621,507,462,435]
[18,30,60,45,75,63,51,81,90,75,96,123,180,219,183,246,261,417,414,624,786,1236,1539,2226,3504,4443,4344,3777,2913,2280,1989,2025,2274,2871,4083,4911,4641,3984,3441,2574,2292,2553,2058,2412,2925,3318,3129,2781,2460,2238,2178,2292,2616,3024,3540,3723,3636,3171,2721,2658,2364,2157,2193,2247,2334,2496,2349,2469,2355,2181,2286,2232,2367,2517,2730,2904,2685,2541,2856,2247,2115,2121,2202,2346,2244,2421,2322,2268,2085,2247,2235,2424,2271,2493,2592,2616,2325,2478,2226,2511,2886,2892,3663,4647,4824,4491,4239,3678,3141,2886,2793,2763,2733,2742,2718,2889,2967,2208,2274,2124,1827,1761,1710,1773,1452,1476,1368,1314,1233,1230,1158,1068,1062,1023,1008,972,894,789,711,714,696,672,561,684,582,537,591,522,489,399]
[24,57,60,30,42,42,45,84,42,57,63,126,132,213,264,267,237,351,426,501,762,1026,1365,1872,2793,3909,3819,3195,2739,2190,1881,2022,2340,2832,3393,3996,4125,3450,3144,2376,2067,2082,2031,2307,2955,2892,2694,2460,2187,2166,1962,2217,2448,2850,3138,3438,3132,3012,2574,2331,2145,1986,2067,2124,2310,2271,2274,2259,2196,2148,1956,2193,2181,2385,2430,2550,2439,2472,2154,2040,2295,2508,2253,2256,2163,2088,2145,2109,2055,2193,2202,2100,2391,2424,2412,2349,2256,2136,2145,2379,2607,3081,3297,3933,4341,4164,3744,3264,3132,2718,2427,2733,2571,2598,2571,2496,2316,2088,2052,2385,1866,1629,1746,1509,1449,1305,1347,1356,1209,1251,1077,1122,981,924,897,906,864,765,864,660,699,618,672,585,537,528,519,468,516,438]
[42,51,15,72,54,69,75,54,69,102,99,96,120,108,222,237,297,348,426,618,756,987,1203,1794,2319,2904,2856,2700,2211,2181,1851,1815,2064,2658,2949,3231,3042,2943,2283,2160,2010,2148,2085,2103,2316,2505,2397,2634,2109,2211,2142,2217,2568,2613,2784,2934,2973,2493,2388,2208,2007,1992,1905,2067,2217,2130,2025,2073,2145,2073,2109,2091,2307,2391,2385,2391,2325,2169,2154,2220,2151,2223,2265,2124,2007,2637,2085,1977,2112,2076,2124,2241,2184,2433,2397,2355,2190,2181,2223,2214,2181,2631,3027,3189,3339,3585,3291,3120,2652,2634,2490,2232,2475,2382,2283,2334,2193,2067,1929,1845,1857,1794,1971,1464,1533,1431,1302,1287,1305,1221,1131,1101,1020,1035,771,795,777,774,744,708,570,666,585,573,537,510,513,396,390,483]
[21,57,36,45,51,51,30,63,54,111,108,90,93,213,216,216,261,399,456,588,738,978,1014,1467,1869,2289,2055,2100,1701,1542,1545,1701,1866,2127,2580,2550,2574,2286,2115,1926,1902,1875,1890,2142,2175,1998,2025,2001,1836,1800,2151,2253,2034,2340,2532,2496,2265,2223,2049,1860,1938,1881,1914,2082,1959,1977,1911,1977,1983,1899,1941,2127,1953,2133,2151,2394,2196,2124,2160,1800,2046,1908,2061,2103,1977,2028,1926,2397,1911,1917,1968,2046,2079,2289,2154,2094,2148,1986,2013,2103,2202,2211,2535,2895,3036,3030,2904,2751,2493,2463,2313,2226,2361,2259,2337,2151,2037,1992,1866,1878,1824,1761,1653,1494,1593,1668,1320,1224,1227,1164,1191,1101,1074,975,906,927,861,816,783,669,666,663,708,585,540,456,498,495,423,372]
[36,21,78,39,60,51,33,66,57,93,78,105,129,168,141,219,276,384,408,582,747,762,996,1227,1512,1692,1641,1470,1497,1407,1503,1545,1644,1932,1941,2115,2103,1923,1872,1707,1782,1770,1836,1956,1749,2058,1848,1809,1749,1851,1938,1914,1914,2508,2088,2172,2031,2124,1884,1824,1905,1833,1752,1830,1839,1971,1935,1983,1932,1848,1896,1992,1830,2160,2295,1926,1881,1875,1905,2025,1974,1947,1866,1950,1890,1974,1998,1830,1968,1896,2058,2457,2085,1965,1908,2004,2082,2031,1947,2022,2001,2229,2037,2421,2403,2469,2526,2631,2259,2226,2211,2244,2157,2382,2145,2139,2061,1887,1827,1635,1632,1764,1542,1530,1491,1269,1386,1290,1341,1047,1101,972,981,1038,1065,771,804,780,684,666,603,621,663,522,480,462,438,489,426,411]
[33,60,84,33,42,81,36,81,60,75,120,111,129,114,237,222,342,336,543,645,750,897,951,1149,1374,1572,1572,1380,1233,1404,1467,1500,1740,1812,1866,1842,1698,1803,1644,1731,1788,1782,1809,1866,1890,1875,1761,1821,1764,1668,1878,1593,1860,2040,2007,1944,2109,1854,1893,1875,1788,1863,1677,1797,1920,1908,1713,1722,1671,1734,1794,1881,1938,1902,1878,2019,2025,1800,1956,1986,1824,1917,2070,1998,2013,1770,1980,1899,1884,1872,1824,2022,1905,2592,2052,1938,2160,1827,1770,1839,1887,2007,2142,2268,2325,2409,2244,2262,2301,2223,2322,2322,2148,2400,2349,2136,2118,1788,1941,1752,1647,1527,1620,1512,1464,1497,1296,1293,1248,1059,1230,924,837,780,909,846,807,789,639,612,609,570,570,561,543,456,498,471,471,351]
[60,33,60,48,57,45,57,78,75,96,87,123,117,141,216,270,309,393,459,591,795,1035,996,1242,1518,1554,1710,1560,1347,1212,1356,1542,1563,1674,1899,1842,1779,1818,1803,1644,1659,1575,1866,1848,1911,1821,2046,1917,1815,1782,1794,1770,1767,1815,1809,1851,1881,1713,2016,1650,1704,1497,1701,1737,1731,1737,1869,1806,1791,1728,1710,1905,1848,1995,2043,2052,2058,2031,1956,1884,1752,1932,1893,1815,1830,1905,1902,1878,1794,1968,1806,1905,2199,1890,1887,1935,2208,1911,1974,1881,2052,1962,1905,2244,2376,2358,2409,2193,2298,2235,2079,2439,2385,2319,2280,2190,2223,1944,1824,1623,1638,1539,1587,1431,1299,1338,1248,1236,1149,1146,1065,933,945,1014,855,864,717,693,756,699,672,537,564,537,477,537,396,417,426,402]
[42,51,30,51,48,51,36,75,66,60,69,111,132,144,237,198,312,375,468,534,729,966,1362,1653,2211,2007,2199,1929,1488,1344,1332,1539,1512,1782,2001,2061,2040,2016,1887,1542,1779,1695,1797,1785,1884,1968,1896,1890,1812,1677,1554,1590,1761,1806,1740,1911,1692,1839,1734,1584,1683,1614,2019,1734,1788,1950,1695,1761,1854,1698,1737,1695,1851,1974,2082,2250,1962,1944,2034,1686,1692,1749,1755,1938,1917,1857,2001,1791,1752,1899,1881,1779,2085,2040,2136,1941,1980,1851,1962,2151,2028,1929,2277,2196,2487,2475,2319,2187,2253,2262,2298,2517,2673,2823,2694,2514,2247,2145,1869,1911,1728,1515,1479,1470,1266,1401,1272,1089,1080,888,1056,909,903,924,783,786,864,672,699,615,570,561,549,516,417,453,480,393,528,393]
[45,42,51,48,42,66,66,60,48,78,99,84,111,114,150,240,285,396,429,546,846,1224,1593,1872,2244,2598,2814,2541,2445,1566,1350,1581,1845,1905,2193,2556,2496,2259,1821,1746,1755,1617,1833,1860,2025,2211,2037,2025,1605,1653,1632,1659,1824,1806,1725,1899,1809,1773,1803,1584,1665,1638,1770,1686,1776,2034,1833,1656,1680,1617,1734,1680,1827,2088,2283,2313,2208,1947,1995,1668,1680,1950,1833,1785,1875,1938,1959,1854,1902,1932,2034,2058,2154,2298,2214,2358,2094,1989,1935,1845,1791,2043,2589,2496,2970,2826,2547,2244,2298,2118,2568,2883,2961,2922,2955,2808,2391,2268,1998,1839,1839,1596,1575,1347,1185,1380,1068,1203,1044,1005,924,990,822,738,816,657,711,819,696,714,684,555,591,522,486,444,486,429,315,387]
[48,51,45,54,54,45,96,93,75,75,87,126,114,150,141,231,270,315,453,630,900,1413,1656,2325,2982,3597,3765,3000,2226,1773,1764,1557,1665,2076,2400,2586,2514,2160,1854,1815,1638,1731,1824,1824,2037,2088,2094,1869,1758,1746,1785,1710,1641,1686,1962,1848,1722,1734,1644,1551,1704,1662,1584,1761,1704,1866,1722,1722,2055,1695,1665,1680,1920,2073,2181,2313,2277,1908,1674,1830,1650,1683,1770,1803,1890,1935,1992,1977,1995,1965,2076,2061,2277,2154,2328,2421,2352,2016,1926,1977,1854,2007,2190,2358,2841,3585,2586,2490,2346,2427,2925,3081,3285,3477,3057,2904,2631,2457,1899,1869,1692,1641,1431,1359,1320,1383,1176,1185,1131,1029,924,870,726,792,849,720,657,621,627,567,564,528,588,516,498,357,345,414,378,384]
[42,66,63,36,33,30,69,60,75,66,123,135,117,144,204,246,234,357,405,615,783,1092,1428,2208,3117,4251,4026,3360,2397,1884,1623,1485,1569,1800,2685,2478,2550,2100,1884,1563,1638,1692,1701,1761,2076,2148,2205,2043,1905,1671,1716,1686,1560,1551,1638,1731,1761,1710,1590,1593,1620,1464,1560,1542,1821,1581,1806,1467,1548,1587,1605,2016,1863,1857,2169,2268,2148,1899,1752,1698,1662,1917,1767,1659,1875,1839,1863,1851,1860,1800,1863,2079,2277,2244,2193,2091,2007,1899,1773,1701,1878,1881,2124,2559,2817,2709,2700,2385,2760,2325,2727,3201,3264,3324,3270,2616,2409,2160,1974,1764,1572,1479,1296,1371,1296,1251,1119,1086,1080,1026,993,864,867,822,768,681,579,666,579,522,495,474,471,393,528,387,378,393,264,309]
[36,45,36,33,66,63,69,57,66,69,111,135,132,213,138,213,351,354,450,543,750,1023,1176,1764,2847,3540,3342,2670,2070,1707,1365,1413,1749,1893,2133,2436,2454,2403,1830,1632,1629,1653,1665,1656,1899,2049,1992,1782,1695,1812,1749,1488,1653,1716,1629,1647,1572,1497,1575,1509,1626,1395,1386,1494,1563,1575,1539,1509,1479,1422,1602,1386,1671,1866,2406,2073,2112,1761,1701,1734,1590,1662,1650,1653,1863,2055,1755,1833,1791,1812,1854,2109,2079,2145,2148,2055,1926,1998,1755,1812,1815,1839,1896,2376,2445,2442,2454,2187,2295,2334,2601,3450,3291,3429,2877,2655,2337,2193,1923,1683,1470,1491,1431,1371,1335,1242,1158,1092,999,1017,903,813,855,840,729,657,636,681,696,561,603,618,405,474,420,372,429,348,330,312]
[36,51,69,78,51,57,75,75,42,102,90,96,141,150,243,210,258,372,474,603,747,867,1245,1764,2190,2550,2367,2136,1572,1482,1368,1431,1584,1791,1941,1839,1926,1659,1710,1797,1386,1674,1539,1719,1797,1797,1776,1656,1662,1575,1620,1578,1608,1614,1635,1626,1548,1410,1677,1464,1452,1431,1590,1431,1392,1437,1395,1443,1404,1428,1509,1548,1563,1668,1806,1875,1773,1917,1452,1509,1494,1584,1611,1686,1629,1560,1749,1731,1731,1734,1800,1767,1872,2079,1917,2028,1812,1752,1623,1740,1758,1839,2061,2016,2364,2172,2259,2061,1881,2103,2100,2550,2778,2862,3111,2169,2085,1713,1719,1617,1443,1452,1347,1314,1248,1143,1092,1017,936,873,939,822,795,765,720,687,672,504,525,573,543,450,432,417,405,354,315,327,288,285]
[45,36,57,63,42,69,60,51,72,84,78,108,129,138,237,261,258,417,411,582,684,840,1032,1365,1680,1863,1692,1623,1419,1302,1317,1383,1413,1602,1599,1581,1725,1629,1416,1455,1482,1578,1992,1713,1536,1692,1602,1518,1500,1536,1431,1431,1530,1542,1482,1353,1485,1347,1398,1338,1332,1413,1464,1317,1233,1392,1320,1284,1344,1437,1257,1479,1443,1476,1503,1662,1452,1425,1458,1461,1800,1518,1668,1575,1596,1632,1605,1503,1596,1632,1620,1734,1722,1773,1851,1656,1770,1470,1608,1449,1572,1560,1734,1929,1941,1749,2007,1884,1836,1797,2088,2241,2574,2442,2340,2079,1839,1938,1632,1536,1434,1284,1305,1185,1167,1047,912,1062,954,804,870,750,789,771,708,600,564,555,549,501,552,471,432,360,393,396,306,345,321,294]
[42,51,48,54,66,69,24,72,87,78,87,57,102,150,237,312,270,318,441,531,717,792,855,1212,1317,1443,1449,1185,1116,1182,1290,1371,1383,1449,1707,1515,1686,1365,1383,1254,1572,1368,1443,1518,1611,1557,1812,1545,1293,1356,1347,1326,1509,1326,1341,1344,1326,1287,1377,1398,1341,1206,1248,1257,1161,1290,1068,1215,1227,1326,1242,1449,1425,1419,1347,1341,1374,1494,1308,1479,1389,1428,1458,1827,1524,1557,1551,1590,1458,1551,1497,1560,1428,1533,1545,1530,1587,1389,1515,1578,1608,1644,1815,1899,1869,1818,1779,1824,1680,1776,1785,1881,2178,2043,1905,1881,1746,1455,1410,1392,1548,1272,1284,1245,1227,1011,1155,963,837,840,702,783,747,645,684,657,561,597,516,528,414,363,438,345,408,348,297,285,273,288]
[18,45,42,57,39,48,60,39,57,69,108,99,123,138,204,198,309,435,435,600,669,780,984,1158,1206,1359,1359,1146,1044,1113,1173,1203,1467,1503,1527,1488,1401,1458,1407,1329,1407,1290,1425,1524,1389,1437,1506,1479,1362,1518,1461,1296,1410,1332,1410,1524,1221,1266,1287,1128,1278,1248,1254,1368,1161,1263,1209,1245,1260,1329,1200,1200,1437,1326,1305,1332,1377,1248,1446,1266,1419,1398,1530,1596,1524,1548,1914,1461,1395,1467,1350,1569,1593,1605,1596,1566,1440,1380,1560,1467,1545,1524,1698,1854,1887,1968,1695,1800,1785,1764,1773,1899,1968,1911,1854,1872,1656,1644,1413,1326,1194,1203,1209,1314,1164,1074,939,897,882,771,741,804,750,660,576,561,522,528,489,438,378,363,444,381,351,270,315,336,258,252]
[33,33,30,63,72,39,54,60,57,78,90,75,129,213,246,195,282,357,414,582,819,885,1068,1266,1269,1473,1425,1284,1155,1161,1140,1326,1545,1596,1530,1479,1650,1413,1308,1338,1257,1350,1338,1254,1395,1401,1368,1380,1254,1293,1338,1347,1644,1203,1356,1365,1401,1224,1266,1158,1206,1161,1179,1224,1263,1212,1143,1065,1230,1164,1194,1224,1362,1188,1374,1344,1203,1212,1290,1242,1227,1311,1539,1470,1449,1539,1518,1533,1401,1668,1347,1401,1482,1533,1473,1545,1596,1476,1518,1554,1551,1716,1875,1986,2193,1875,1983,1827,1644,1746,1626,1716,2031,2049,1899,1797,1725,1719,1410,1416,1290,1173,1131,960,996,984,1122,903,900,708,744,705,687,618,525,582,423,465,384,384,399,312,429,342,258,273,324,228,210,231]
[9,60,42,66,63,48,45,63,33,84,84,93,129,99,129,201,255,327,471,543,783,1116,1395,1491,1653,1869,1806,1755,1365,1152,1296,1365,1551,1881,1857,1761,1809,1605,1515,1371,1371,1368,1392,1395,1314,1497,1362,1305,1227,1260,1206,1332,1497,1452,1437,1800,1410,1311,1167,1170,1176,1236,1245,1263,1338,1188,1146,1092,1005,1146,1137,1221,1350,1341,1293,1242,1188,1209,1113,1185,1260,1320,1521,1551,1839,1743,1590,1458,1326,1287,1356,1560,1962,1590,1752,1653,1509,1503,1344,1608,1707,1947,2244,2262,2388,2100,1962,1986,1728,1944,1938,2118,2265,2415,2292,2154,1980,1674,1674,1368,1170,1179,1083,1068,900,1002,735,888,753,867,684,648,636,576,537,438,441,501,468,432,405,363,381,357,282,345,273,264,240,198]
[30,54,48,45,57,63,72,39,63,114,66,99,123,105,249,222,213,372,399,627,807,1704,1608,1878,2409,2463,2526,2160,1713,1428,1524,1812,1794,2118,2202,2082,2025,1839,1746,1524,1437,1482,1563,1560,1680,1605,1437,1236,1197,1188,1251,1215,1332,1542,1629,1647,1596,1404,1443,1143,1098,1254,1380,1239,1362,1266,1215,1143,1257,1092,1251,1137,1206,1230,1287,1206,1215,1197,1161,1152,1212,1236,1821,1860,2049,1971,1887,1371,1362,1254,1488,1653,1641,1743,2031,2076,1662,1677,1563,1578,2004,2193,2367,2850,2967,2943,2349,2085,1935,2052,2358,2682,2691,2835,2637,2679,2295,1896,1707,1404,1317,1146,999,1035,936,915,897,786,690,660,735,630,681,702,543,492,510,450,402,354,408,351,303,321,306,192,276,237,234,210]
[57,45,45,33,57,66,60,78,75,48,102,87,105,210,150,210,261,270,378,588,834,1233,1635,2010,3384,3129,3042,2319,1866,1503,1653,1920,2028,2187,2556,2469,2373,2061,1896,1533,1491,1575,1497,1587,1551,1611,1536,1365,1275,1161,1149,1158,1212,1344,1872,1758,1563,1263,1146,1062,1134,1485,1263,1257,1278,1392,1383,1170,1119,1035,1095,1242,1200,1224,1179,1269,1239,1167,1095,1134,1371,1464,1869,2124,2469,2286,1860,1557,1428,1416,1554,1530,1710,1761,1950,1896,1695,1626,1704,2256,2337,2550,2853,2958,3201,3108,2562,2367,2334,2400,2616,3036,3258,3426,3081,2955,2415,1935,1785,1443,1212,1185,1002,939,852,852,798,876,765,597,669,651,552,537,564,441,498,396,420,360,369,357,351,375,327,318,225,186,219,237]
[30,51,45,54,45,57,45,45,69,72,54,72,117,132,114,132,243,276,357,591,819,1197,1290,1866,2964,3606,3336,3039,1911,1461,1386,1647,1767,2268,2805,2799,2577,2262,1800,1707,1536,1491,1452,1572,1602,1659,1464,1407,1158,1092,1197,1164,1101,1401,1707,1734,1473,1281,1062,1086,999,1176,1257,1089,1515,1305,1326,966,984,1140,1077,1065,1116,1056,1167,1185,1209,1185,1038,1110,1134,1464,1698,1815,2040,2148,1749,1569,1323,1329,1383,1695,1740,1722,1755,1839,1683,1518,1596,1890,2166,2517,3681,2994,3033,2925,2535,2142,2250,2148,2571,3111,3528,3516,2943,2577,2166,1959,1701,1368,1152,972,960,942,786,840,819,645,699,651,600,669,582,495,495,474,438,354,393,366,345,366,216,345,231,249,243,234,216,174]
[48,72,27,39,36,39,63,30,75,87,81,105,93,117,126,198,252,306,387,492,609,879,1173,1824,2709,3177,2775,2490,1824,1692,1227,1395,1602,2106,2334,2871,2589,2295,1935,1464,1389,1218,1455,1440,1593,1500,1410,1395,1059,1098,1161,1095,1080,1356,1503,1572,1248,1059,1107,876,984,975,1032,1116,1104,1203,1362,1071,978,882,906,933,1023,1074,1176,1026,1053,1086,906,972,1002,1221,1383,1773,1845,1692,1554,1428,1245,1293,1470,1665,1338,1662,1710,1659,1527,1479,1515,1668,2034,2250,2544,3393,2493,2514,2259,1998,1797,2043,2571,2799,3444,3189,2814,2304,1824,1947,1413,1143,1053,993,930,861,858,804,699,726,600,621,561,576,519,522,450,438,399,417,315,285,318,396,276,285,264,285,228,228,225,144]
[45,42,27,27,21,51,57,72,33,60,69,75,96,108,201,234,276,270,330,450,600,753,1098,1374,2001,2325,2286,1899,1590,1335,1182,1257,1698,1758,2124,2145,2133,1839,1791,1491,1284,1323,1302,1392,1356,1437,1428,1212,1149,1092,1143,1032,1218,1119,1302,1218,1143,1095,846,855,915,888,948,1218,1053,849,939,894,942,1056,822,783,1062,1038,963,957,915,966,858,906,873,1113,1104,1335,1419,1461,1293,1362,1143,1308,1179,1377,1482,1491,1479,1425,1491,1290,1422,1383,1632,1971,2142,2178,2142,2049,2484,1728,1755,1749,2190,2505,3042,2625,2331,2004,1821,1581,1284,1230,1068,993,963,876,810,750,702,750,597,594,540,531,501,531,441,390,324,342,345,315,300,267,225,252,243,222,195,231,111,135]
[48,27,60,27,39,33,45,63,57,60,63,99,123,120,126,216,198,303,393,396,540,618,900,1206,1647,1824,1683,1437,1353,1152,1050,1011,1215,1650,1929,1839,1656,1674,1389,1422,1230,1323,1242,1257,1389,1341,1200,1050,1101,1047,1020,1011,864,948,981,1125,1041,864,798,822,825,870,927,870,915,867,813,873,729,735,738,765,1050,966,999,747,870,777,861,867,972,1023,1074,1152,1266,1194,1107,1104,1143,1044,1248,1251,1284,1389,1266,1323,1206,1251,1050,1200,1212,1425,1941,2142,1833,1752,1563,1653,1431,1905,1902,1956,2412,2250,1902,1548,1500,1305,1176,1113,1095,942,1074,960,801,852,651,705,645,651,522,471,441,429,372,387,363,309,315,273,312,264,234,255,243,249,246,192,219,144]
[51,45,33,48,51,45,51,78,51,54,72,99,87,120,189,243,180,297,348,522,516,771,789,1041,1137,1281,1107,1101,978,1050,954,1029,1143,1245,1419,1398,1287,1461,1092,1167,987,1068,1161,1101,1167,1194,1101,975,975,1026,891,861,1059,903,975,987,828,789,780,765,780,756,870,849,792,678,645,720,741,699,726,696,828,774,765,948,714,693,771,771,822,930,981,1101,984,1035,987,792,933,987,924,1092,1224,1212,1284,1149,1101,987,1095,990,1197,1440,1506,1644,1599,1347,1302,1251,1296,1221,1416,1632,2115,1746,1488,1347,1149,1131,1014,1029,957,738,837,777,747,600,684,573,471,486,441,432,441,399,345,381,345,330,300,264,300,261,231,246,204,210,234,144,99,192]
[36,48,57,36,57,57,42,24,60,54,84,117,105,126,159,240,216,231,342,513,618,717,1002,1020,1260,1239,1122,972,909,900,915,960,1095,1218,1176,1224,1140,1056,1092,1017,1101,993,1086,1194,1107,1143,1086,933,1020,885,1011,843,993,1083,1113,1023,825,786,771,732,762,657,735,831,756,792,702,660,564,600,675,603,741,636,777,654,702,780,888,684,726,777,810,999,1056,1068,912,900,918,1029,1020,1023,1221,1317,1383,1242,1116,1014,1095,1077,972,1080,1200,1341,1344,1341,1239,1233,1254,1248,1113,1227,1500,1587,1527,1539,1137,1062,1047,894,843,780,702,690,630,642,597,561,567,453,405,396,348,378,321,282,312,246,255,249,273,270,213,180,231,144,252,216,120,111]
[42,27,30,36,66,45,51,66,72,84,60,72,108,207,114,138,204,255,423,576,849,993,1167,1407,1383,1257,1179,1050,816,831,918,957,1086,1200,1074,1233,1185,1074,1071,915,870,882,900,1410,1185,1173,1182,1062,1014,975,1017,1065,1143,1311,1128,1053,888,828,741,762,717,657,738,702,816,732,681,582,618,597,600,672,645,756,750,825,780,630,651,639,834,732,942,972,1098,999,855,837,864,1011,1104,1257,1416,1485,1431,1422,1203,1161,951,870,897,930,1188,1095,1104,1062,1002,1053,1053,1071,1173,1410,1590,1473,1644,1509,1281,1152,1287,855,789,627,627,618,564,609,585,543,444,507,375,333,267,303,303,312,291,309,267,255,228,177,186,150,138,120,165,117,132,114]
[15,30,63,57,54,45,54,69,42,87,84,90,96,111,189,192,150,297,408,708,1035,1410,1770,1890,1851,1887,1767,1320,1179,1029,1023,1200,1530,1425,1560,1569,1422,1104,1122,834,930,897,1257,1251,1476,1386,1557,1047,1014,966,1185,1476,1686,1761,1746,1455,1224,978,840,591,756,786,795,801,858,924,639,648,567,516,570,618,726,822,849,963,783,672,594,660,750,849,945,1437,1344,1263,1014,789,951,1035,1296,1794,1827,1971,2010,1725,1425,1512,1170,1014,903,1005,1017,1227,1380,1149,1146,936,1017,1089,1299,1578,1869,2100,1962,1746,1554,1170,1050,744,606,789,612,465,579,480,438,402,420,360,399,300,294,261,249,222,213,273,183,201,123,135,210,132,81,90,138,105,141,90]
[57,33,48,63,42,75,66,51,36,81,87,84,102,114,144,174,246,294,471,894,1341,1995,1893,2310,2493,2814,2199,1935,1281,1173,1311,1548,1698,1788,1821,1833,1701,1269,1158,1026,1056,1113,1314,1557,1704,1632,1560,1098,1074,1464,1560,1842,1818,1893,1866,1782,1641,1242,1029,834,714,867,882,1140,1272,1113,888,690,489,588,501,660,807,990,1125,1197,852,669,660,675,693,798,1101,1341,1536,1347,1407,873,978,1248,1611,1875,2160,2394,2301,2136,1875,1791,1269,1053,933,918,990,1440,1611,1341,1182,906,954,1158,1533,1809,2256,2466,2400,2034,1698,1455,1047,789,567,576,513,594,447,429,327,396,354,321,270,297,243,240,261,273,222,207,138,114,141,219,129,174,105,117,120,99,87,78]
[45,51,57,33,33,54,45,45,57,54,72,48,96,75,141,114,189,297,396,678,1443,1899,2418,3039,3846,3579,2808,2289,1563,1278,1344,1428,1440,1911,2307,2325,1920,1308,1185,939,993,1071,1338,1524,1863,1746,1617,1182,1035,1146,1401,1815,2250,2103,2142,1926,1800,1593,1158,855,813,705,906,1098,1272,1062,834,639,546,501,504,546,810,1095,1194,1131,915,747,705,498,633,819,1020,1350,1683,1485,1236,822,960,1500,1731,1833,2307,2409,2355,2073,1941,1692,1164,945,810,921,1029,1332,1551,1449,1002,855,987,1257,1710,1950,2310,2649,2700,2244,1806,1386,939,774,555,477,423,438,411,351,468,369,285,309,240,228,201,267,228,204,102,150,189,126,144,144,135,93,84,114,93,81,99,90]
[30,57,45,48,57,60,51,42,24,36,33,93,78,87,72,72,132,192,411,519,951,1206,2127,3504,4302,3900,3081,1992,1506,1149,1080,1137,1230,1827,2595,2292,2001,1446,1131,879,828,975,1032,1443,1629,1710,1371,1038,1002,1092,1182,1398,1716,1878,1995,2256,1698,1368,1140,831,654,639,834,1047,1065,999,807,624,420,477,486,627,729,906,1179,1044,780,504,477,516,498,636,810,1212,1365,1320,1173,873,960,1185,1419,1602,2619,2163,1878,1797,1530,1173,1041,720,774,801,924,1302,1293,1131,876,825,831,1245,1653,1908,2241,2334,2091,1776,1446,1068,693,564,438,387,393,309,357,267,294,288,264,282,204,204,213,189,186,147,111,213,93,120,111,84,78,105,105,93,78,75,48,81]
[45,24,39,30,51,30,36,69,66,75,69,69,87,72,75,126,129,141,267,336,654,966,1488,2385,3522,3441,2886,2001,1509,1086,747,894,1035,1590,1818,2001,1920,1362,1164,882,753,903,1044,1251,1476,1404,1236,966,861,816,1002,1233,1416,1731,1845,1959,1662,1413,1167,750,633,603,639,837,756,729,657,483,468,453,477,489,621,723,894,858,702,594,534,441,495,519,711,945,1002,987,930,834,639,846,1200,1653,1743,1854,1710,1944,1278,984,894,573,678,711,789,930,966,885,837,705,795,1017,1449,1716,2046,1911,1860,1404,1158,825,579,453,387,369,339,276,297,285,213,333,243,228,216,165,201,234,216,132,111,93,111,105,84,105,102,57,69,63,66,102,87,78]
[51,66,54,48,39,33,63,63,48,69,51,69,78,102,135,90,132,147,240,291,354,585,1071,1980,2400,2454,2061,1596,1209,942,768,696,918,1221,1425,1476,1308,1146,897,765,543,675,717,1059,1053,1074,1065,720,678,717,723,804,1008,1203,1395,1338,1149,1038,702,546,507,513,540,654,684,621,396,432,378,429,417,387,534,627,702,660,531,495,396,450,498,528,633,723,732,786,696,630,567,669,867,1173,1419,1404,1311,1131,924,693,783,570,501,534,666,729,720,699,552,633,567,780,1047,1329,1482,1515,1257,1023,798,669,468,402,345,264,285,294,243,267,243,213,174,138,222,240,123,99,129,171,90,96,78,102,87,63,66,51,69,48,63,63,48,27]
[45,33,45,51,48,57,51,54,42,57,51,54,48,114,90,84,114,129,207,273,309,459,699,1227,1734,1842,1575,1455,975,732,567,549,612,903,1065,1143,999,906,732,558,501,579,684,795,858,1041,816,627,582,570,540,636,717,1071,1044,981,765,756,477,501,429,459,429,516,609,444,426,336,360,372,351,393,456,480,546,519,501,393,402,354,399,396,495,630,642,639,510,468,384,552,609,777,981,1029,978,663,675,450,423,375,327,459,687,573,570,525,552,501,417,579,711,852,1062,1095,939,777,594,513,417,324,297,300,330,216,228,198,270,183,123,135,135,99,117,135,108,102,120,66,57,99,75,69,60,30,60,96,39,72,60,45]
[33,48,48,57,48,39,42,54,51,60,75,42,54,87,57,39,126,141,210,150,243,300,489,750,1011,1146,1077,807,714,582,549,423,549,642,633,729,657,696,549,441,408,384,504,654,651,708,561,579,465,438,408,489,564,633,735,669,525,486,432,378,393,348,387,381,408,360,327,357,276,264,315,297,342,417,432,429,294,315,306,312,264,363,459,429,561,462,444,378,471,402,390,516,666,651,717,558,543,414,336,363,324,363,348,483,417,549,390,372,351,366,525,594,636,822,504,528,486,375,336,294,264,192,207,213,138,204,231,111,114,105,132,114,90,72,138,108,81,78,48,45,81,60,66,78,51,54,24,69,54,27]
[27,30,33,33,39,24,48,57,63,66,51,60,78,90,96,93,129,99,93,105,246,273,450,381,480,540,513,489,405,420,342,348,399,405,531,459,405,450,432,402,339,342,435,471,372,438,468,429,366,378,360,339,417,432,345,363,372,312,282,240,279,249,297,285,279,258,252,300,261,291,273,345,324,255,279,312,318,261,291,246,246,372,411,321,360,318,291,303,336,294,306,369,465,477,396,333,288,369,282,273,273,327,312,336,315,297,300,297,375,300,324,366,387,444,399,315,324,273,210,246,216,141,144,216,135,147,144,174,93,111,72,93,72,69,54,60,87,63,42,72,42,48,51,57,60,36,72,45,33,51]
[39,33,51,36,24,51,39,60,30,42,54,69,30,57,45,84,69,114,120,129,129,150,231,291,291,297,321,270,288,252,321,363,381,342,267,294,366,393,294,288,273,312,387,270,324,327,357,321,267,321,306,297,288,249,321,258,297,243,273,243,222,324,219,192,246,207,234,237,306,255,234,309,252,225,186,258,303,252,234,273,240,231,267,309,294,279,240,237,210,255,228,357,297,336,210,342,303,309,240,237,243,258,249,243,249,315,261,216,303,249,207,231,285,321,288,261,222,234,204,153,153,135,195,150,108,147,102,84,123,75,90,75,87,72,51,66,57,42,45,78,54,75,39,48,66,39,51,42,48,66]
[39,42,39,36,48,27,66,42,57,63,51,42,66,90,69,78,114,93,102,108,123,168,204,288,222,231,186,285,291,228,246,231,285,270,282,267,285,219,276,228,216,246,261,255,261,213,303,306,210,234,240,243,327,195,204,240,249,171,186,189,195,186,204,210,216,171,210,165,141,192,147,198,252,255,237,219,237,141,231,177,234,168,213,306,264,186,279,192,234,204,198,168,288,264,189,129,228,231,195,216,231,219,240,222,213,198,231,204,228,171,165,219,255,270,207,141,147,216,144,195,120,135,126,102,99,78,108,84,42,51,75,75,87,48,51,57,48,33,36,60,72,72,57,45,42,48,33,24,42,60]
[30,57,39,48,45,51,66,27,33,45,60,39,63,42,81,78,99,105,90,132,102,102,174,195,189,243,138,150,204,261,216,207,186,213,243,258,207,144,243,201,249,303,189,288,213,276,234,183,252,225,198,183,189,177,207,237,195,180,192,228,201,216,183,171,138,180,141,123,162,150,189,171,144,144,177,216,144,240,201,207,189,138,225,267,186,186,177,150,261,231,144,177,219,234,240,249,216,228,207,204,210,213,213,222,201,207,183,192,129,105,132,132,153,171,141,144,201,111,132,147,126,87,111,102,114,72,105,75,66,75,90,72,72,42,72,66,75,72,33,51,39,45,30,36,57,54,48,45,42,51]
[33,30,30,21,54,66,54,33,30,30,33,66,63,81,63,60,78,66,99,201,90,102,102,129,126,174,138,171,219,192,201,207,204,192,117,261,195,198,195,147,147,141,135,234,159,192,150,150,180,126,144,195,159,132,183,117,129,189,135,123,135,135,129,138,171,126,138,240,126,144,132,117,129,210,234,204,150,195,138,138,147,279,195,144,141,231,126,216,147,144,183,171,147,198,222,159,180,204,102,138,126,123,129,99,132,111,132,123,120,126,141,141,192,147,228,132,126,114,111,96,99,96,63,87,81,93,60,69,72,96,69,54,48,39,42,33,30,51,39,45,30,45,39,33,27,42,27,18,33,39]
[45,42,27,27,27,39,18,48,42,51,57,57,60,60,57,78,72,99,78,72,93,105,177,93,108,117,117,150,141,180,213,171,189,183,132,165,123,153,138,177,216,141,189,150,186,180,174,210,120,138,132,132,204,120,126,141,198,99,99,111,129,138,108,123,87,117,120,126,90,105,192,150,117,99,126,108,114,141,147,111,102,141,174,135,201,138,156,138,138,144,150,144,153,117,150,129,150,225,213,129,165,123,93,144,204,174,141,132,126,147,105,81,117,126,81,111,78,111,90,87,111,90,90,93,108,60,51,60,75,27,75,48,51,60,45,81,33,54,45,63,42,30,54,33,57,21,33,24,36,42]
[18,27,42,18,39,33,36,42,27,54,63,57,66,54,60,75,39,72,72,51,78,84,90,87,108,96,135,132,111,132,111,111,138,132,171,123,105,120,114,105,111,180,168,120,129,108,108,132,147,126,177,87,102,150,132,108,129,105,129,132,108,114,120,129,135,132,96,114,120,117,117,117,114,99,129,135,129,150,126,135,165,189,210,129,138,111,135,165,108,117,123,132,225,129,93,75,144,225,123,135,117,129,129,129,147,123,105,90,90,126,168,120,135,57,132,99,129,93,114,78,99,93,105,72,96,60,57,60,72,87,39,48,51,57,39,39,45,60,39,51,57,33,39,42,48,48,36,60,45,60]
[42,48,36,39,51,27,57,45,60,54,51,54,72,45,42,45,90,78,51,87,60,93,90,72,105,123,105,129,108,129,114,132,135,114,120,132,120,138,141,129,117,120,138,132,129,132,120,126,198,108,111,105,132,126,99,123,87,123,138,195,114,114,81,132,126,99,108,84,105,114,129,90,123,93,138,84,132,195,111,105,219,228,117,117,204,147,186,189,135,120,135,111,108,138,141,99,111,135,75,102,108,99,168,96,123,120,105,120,66,96,141,141,108,108,99,90,96,69,90,123,60,72,72,87,81,78,48,69,57,51,51,45,48,45,30,69,45,21,12,48,66,36,63,30,51,36,42,33,42,30]
[21,45,27,30,36,48,45,36,33,39,48,45,60,60,51,48,66,60,78,69,57,96,51,90,60,84,105,84,78,111,111,111,135,108,138,138,117,117,99,141,87,96,96,120,123,144,87,87,96,123,84,114,117,105,87,117,114,81,93,78,93,117,99,132,105,120,123,111,99,99,102,123,111,129,192,114,102,132,108,105,135,84,108,135,129,138,132,117,123,96,135,120,114,147,123,96,123,90,132,108,111,90,78,84,111,105,72,102,114,81,99,66,78,84,123,69,96,90,66,99,87,54,66,72,75,60,51,75,57,66,72,51,48,27,60,54,33,48,33,30,33,45,27,45,63,21,57,24,42,27]
[21,42,63,33,57,30,48,42,48,39,30,57,36,60,63,15,54,51,54,42,69,84,78,75,87,108,123,96,123,147,90,69,72,87,99,78,84,108,57,132,87,132,66,87,96,99,102,99,99,81,105,117,108,81,90,93,90,123,117,114,138,84,72,96,114,90,84,102,78,105,75,102,99,105,111,117,84,90,99,90,129,114,135,126,111,99,81,147,114,138,87,90,105,90,96,84,93,90,138,117,96,96,75,108,75,99,117,111,117,81,54,102,63,84,108,75,84,57,90,96,93,84,48,63,72,69,57,54,48,33,33,45,48,45,39,33,57,33,51,33,42,57,30,42,54,18,39,51,18,36]
[21,24,21,36,48,42,51,15,33,51,36,54,54,69,42,36,69,60,57,75,48,69,33,60,75,84,111,96,72,60,69,93,90,108,114,90,111,87,108,78,84,66,72,99,81,102,72,69,90,54,72,78,108,90,81,78,87,72,84,78,72,93,81,90,87,108,75,102,81,96,78,99,90,75,99,96,66,90,105,84,63,102,111,63,123,111,120,90,78,108,63,108,90,84,69,132,99,102,75,126,84,90,87,90,66,72,123,66,81,105,66,69,93,63,63,60,72,60,51,72,78,60,36,63,63,78,48,57,51,75,54,48,24,72,33,33,48,33,63,39,63,48,27,24,36,45,33,45,9,30]
[33,27,36,24,51,39,63,39,45,27,72,60,60,66,63,42,36,51,42,48,63,27,48,84,60,66,102,81,69,69,90,99,72,60,78,96,66,63,99,102,81,105,87,81,84,93,75,99,84,90,69,60,72,105,66,93,108,102,90,84,102,87,102,87,87,90,96,93,72,69,57,72,75,75,93,63,69,75,96,66,81,93,81,117,102,93,111,102,102,105,75,87,111,84,90,84,54,63,51,69,87,96,114,87,87,75,81,69,84,72,63,72,63,60,30,72,66,45,51,72,33,42,63,30,30,63,84,45,42,39,42,39,48,57,66,39,54,51,45,60,27,54,48,33,24,48,15,21,45,36]
[21,36,27,36,54,24,48,48,39,21,48,57,48,33,60,39,21,39,66,60,30,57,51,57,45,18,75,57,63,81,84,75,78,39,87,75,57,84,84,57,63,129,102,99,108,75,57,69,72,84,111,66,90,72,102,90,69,84,75,69,72,108,87,81,51,96,84,75,75,75,93,75,69,45,66,111,90,99,69,63,69,72,66,75,90,96,81,81,93,102,54,87,93,87,45,105,78,87,93,78,69,69,105,111,72,108,69,78,48,57,69,66,75,42,42,36,39,57,78,48,33,48,63,30,48,45,54,36,42,36,45,42,27,36,42,33,42,36,24,36,36,27,42,42,45,51,30,39,39,33]
[36,57,36,39,51,51,30,21,36,60,18,63,30,45,45,60,51,57,60,27,51,60,51,60,75,60,51,45,63,63,63,87,99,72,96,111,84,84,105,75,81,72,57,96,72,78,63,78,57,84,45,75,63,87,60,57,75,57,69,90,57,81,78,57,93,78,45,75,69,66,75,57,60,63,75,72,87,72,78,96,78,96,75,96,60,63,99,69,90,78,99,72,69,39,48,69,66,75,66,57,63,51,48,54,45,69,93,66,63,66,78,72,72,27,51,63,45,60,60,66,54,75,63,66,60,51,54,48,33,45,12,39,54,39,42,33,27,57,24,39,48,57,51,18,42,24,42,42,24,27]
[18,39,48,51,39,39,42,54,30,33,36,51,36,51,21,60,33,66,42,39,66,36,33,39,84,66,66,81,78,69,69,57,42,69,90,42,105,75,105,78,90,75,48,72,42,99,72,72,87,66,51,90,75,84,69,66,54,63,90,72,72,72,81,78,63,78,66,63,72,60,42,66,78,93,54,63,60,99,75,69,78,51,48,69,96,54,81,105,57,72,105,48,39,108,75,84,84,54,57,90,51,57,66,63,51,42,90,84,48,54,54,90,60,69,45,81,42,66,39,45,51,36,66,57,39,39,39,30,57,48,39,42,36,51,27,39,24,48,45,45,18,15,24,45,42,39,39,24,45,51]
[39,39,63,63,57,45,51,45,54,48,48,39,33,36,27,51,54,63,51,60,63,27,45,39,63,57,15,81,42,57,54,66,63,57,45,42,57,69,63,72,81,87,57,90,93,75,42,36,69,69,51,81,90,63,63,66,51,72,90,66,48,72,69,66,45,60,54,36,60,72,42,81,78,57,75,87,75,66,63,60,42,72,57,75,63,69,54,54,75,66,63,63,54,45,81,54,36,60,66,36,84,78,54,84,48,66,48,51,60,57,48,66,24,60,33,45,48,69,54,60,30,39,27,51,57,30,33,42,42,15,24,51,45,45,33,54,39,24,51,27,27,42,39,33,42,18,33,48,27,36]
[51,48,51,42,42,45,51,42,33,42,48,33,45,21,6,60,60,54,48,39,57,42,45,36,57,54,60,78,54,93,48,48,57,45,72,63,69,63,84,45,72,84,108,90,60,72,60,36,63,69,69,78,66,48,66,81,72,60,54,60,36,54,78,108,93,87,42,72,72,42,54,69,84,90,51,39,60,78,75,81,99,51,51,87,51,69,60,63,57,84,81,84,96,57,63,63,90,42,78,63,48,42,60,51,30,57,60,99,48,48,42,36,45,69,42,81,45,87,33,48,63,75,15,75,39,18,42,60,30,36,39,45,39,60,33,48,75,45,36,27,51,36,42,72,21,21,27,60,57,33]
[39,30,27,24,42,30,36,24,39,54,36,39,51,66,66,33,36,45,48,39,39,72,36,27,27,69,60,27,27,36,57,60,51,36,72,45,54,54,63,45,60,48,66,45,51,72,75,84,81,60,54,78,54,60,63,63,87,93,57,48,36,66,57,75,63,69,48,87,72,66,78,69,30,78,69,87,87,60,84,63,45,63,78,45,63,63,102,75,108,81,51,87,69,63,48,57,45,45,69,66,39,66,48,39,54,51,72,72,45,48,12,63,48,36,39,36,63,54,48,72,63,69,15,45,48,36,54,54,63,60,54,57,30,81,39,60,33,24,51,36,21,48,42,30,42,21,30,51,39,27]
[45,30,24,27,42,24,45,36,30,48,36,45,24,33,27,39,24,36,30,48,51,45,27,39,57,51,39,60,33,21,48,60,66,60,45,57,48,54,51,39,60,45,24,39,60,63,63,36,45,81,54,51,66,66,75,72,27,39,48,66,51,60,48,48,66,72,57,66,60,57,60,51,45,48,90,72,72,51,54,78,78,42,51,45,90,87,48,57,57,60,60,39,63,42,66,78,60,63,60,45,78,63,60,66,51,57,48,42,60,33,57,42,36,48,54,57,33,45,51,57,51,27,54,42,45,63,63,39,54,45,36,27,60,45,36,60,48,18,42,24,51,21,39,39,33,36,30,27,27,30]
[42,33,21,39,42,54,57,57,63,27,27,45,54,69,51,42,42,27,27,69,60,39,36,30,33,39,45,48,36,39,45,42,45,69,36,33,51,60,57,36,66,66,45,66,63,78,75,69,45,45,90,75,66,66,54,69,60,69,48,51,96,42,45,51,60,63,81,48,45,45,78,75,72,57,33,57,51,51,54,36,60,78,54,66,48,75,60,84,87,57,48,87,69,72,78,66,48,69,63,57,42,63,57,51,54,48,39,39,39,72,33,39,60,54,39,48,45,33,45,45,72,48,21,48,30,27,45,60,72,33,48,33,36,42,39,39,45,45,36,33,39,33,45,48,48,39,27,30,51,42]
[24,21,39,36,48,42,15,33,39,45,27,57,27,27,30,45,21,54,33,42,33,39,66,24,57,63,63,69,54,57,30,51,57,33,75,51,69,33,60,42,63,66,102,42,66,69,39,63,45,54,33,51,48,69,60,54,33,66,60,39,63,84,54,57,105,42,63,33,48,36,51,33,54,66,69,57,54,69,75,69,72,75,63,57,66,30,60,48,42,69,63,36,69,39,63,66,51,33,57,63,48,48,45,24,66,51,39,42,39,60,51,42,24,51,27,33,63,57,57,51,54,39,57,27,51,42,45,36,12,12,66,78,33,45,48,21,21,48,21,21,36,33,30,45,36,18,21,42,21,39]
[24,51,48,45,48,45,45,57,15,42,39,60,48,45,18,39,72,39,57,39,15,48,39,21,63,45,45,45,54,30,33,75,33,54,33,72,57,48,48,33,66,81,45,57,66,60,93,45,54,45,60,24,75,57,66,63,30,75,45,45,42,60,36,48,36,57,42,57,72,72,39,33,39,63,36,66,69,36,51,84,60,48,54,45,51,72,57,36,42,42,54,69,45,63,66,69,69,57,84,48,51,51,48,69,78,33,39,57,51,57,42,54,54,42,42,36,48,42,45,36,36,21,45,18,45,36,39,51,42,54,45,18,39,45,36,21,33,42,24,45,48,39,42,48,27,15,30,39,45,18]
[42,15,54,51,39,57,39,69,51,60,24,57,48,54,30,33,30,42,42,21,24,63,51,36,42,54,36,42,48,51,57,30,63,39,60,54,57,54,48,45,51,48,78,78,33,45,42,63,63,33,36,48,39,54,63,45,81,69,48,51,54,51,60,45,45,48,63,51,69,81,45,45,39,63,51,69,54,33,66,54,42,60,39,54,45,60,42,57,57,33,72,36,60,78,36,42,48,42,45,57,45,60,66,66,48,57,33,57,63,33,66,45,42,66,54,27,36,30,36,36,48,36,30,36,24,42,21,33,36,33,30,18,36,57,33,51,27,48,36,39,27,12,24,30,27,27,21,18,36,27]
[33,36,66,15,36,36,45,24,60,36,36,30,39,57,39,66,24,33,54,15,30,45,36,57,36,45,30,42,51,36,33,63,42,51,66,36,54,48,51,60,69,54,54,36,45,27,42,51,57,63,51,48,75,39,54,39,60,39,48,51,48,42,54,60,51,54,54,51,51,72,51,57,63,36,36,51,54,45,69,57,57,42,72,57,60,48,63,27,78,72,36,75,57,51,42,45,78,72,51,42,51,69,54,54,48,36,48,66,60,66,36,27,42,27,45,48,51,33,24,51,39,63,42,30,42,33,42,42,42,48,27,51,42,27,36,39,33,54,30,24,36,57,30,39,48,24,21,42,57,42]
[51,33,12,36,30,30,39,27,33,39,48,18,24,18,18,42,48,24,24,39,27,33,54,51,42,48,54,66,69,51,51,45,45,51,42,36,42,54,42,54,66,60,48,51,39,42,24,54,60,45,66,51,69,78,93,42,54,21,45,60,48,69,48,54,54,72,30,78,39,36,54,57,60,36,75,57,57,42,54,69,21,42,66,45,45,51,72,21,60,63,69,60,63,63,42,42,30,45,48,36,39,75,45,63,63,45,54,36,42,60,42,48,30,60,42,33,60,63,39,51,42,57,33,45,24,36,45,30,54,42,33,54,33,69,36,27,51,57,45,30,42,30,24,42,39,42,45,57,36,45]
[42,18,51,39,42,42,36,54,36,45,60,30,42,33,54,39,36,33,48,18,54,36,33,36,45,54,48,33,45,21,42,42,57,33,72,45,69,36,18,78,51,75,81,33,48,57,48,69,42,36,48,30,45,27,42,24,54,30,57,36,75,18,51,48,81,48,54,51,75,84,48,60,39,63,42,30,33,48,30,48,36,48,36,63,30,48,33,42,63,48,39,63,51,36,54,39,39,63,54,36,51,66,51,60,66,36,57,39,60,42,51,60,18,48,24,42,51,36,42,27,54,39,21,54,18,45,18,60,48,48,42,39,42,36,24,27,48,36,42,45,6,45,36,45,33,48,24,15,33,33]
[18,54,45,30,27,39,30,45,42,48,36,21,57,54,27,30,27,57,27,27,48,48,51,57,75,45,33,36,24,51,66,36,36,42,42,48,36,45,69,39,66,39,57,42,27,42,63,39,42,45,66,90,42,21,48,45,54,36,51,51,51,15,39,21,69,72,66,66,51,45,33,75,36,39,39,36,54,36,72,21,54,45,51,54,54,39,42,60,66,57,63,57,45,48,54,42,42,69,39,39,39,45,66,51,36,36,75,48,45,51,63,42,30,42,51,39,66,21,45,45,42,36,48,33,27,63,57,30,54,18,33,21,30,30,33,36,21,45,36,33,24,42,30,51,45,6,36,69,39,48]
[33,18,21,9,30,30,24,60,39,24,51,18,45,60,36,39,27,54,39,27,48,45,45,48,39,33,36,33,54,18,51,54,48,24,48,30,24,60,42,51,15,54,42,66,36,54,42,42,48,60,18,45,45,48,69,51,30,54,60,48,39,36,72,42,33,57,45,75,42,48,27,39,48,48,42,81,51,69,48,39,45,36,57,63,60,30,27,72,69,39,48,48,51,51,66,66,60,48,45,51,57,24,60,60,78,42,45,42,39,45,54,57,51,42,30,66,48,24,48,33,51,36,48,45,69,33,39,33,51,45,24,21,27,57,42,33,33,39,30,27,45,24,27,45,24,30,24,39,42,45]

{"sheet":"Figure_1D_layer_2","index":2,"n_rows":150,"n_cols":150,"rows_kept":150}
[22,14,26,46,26,20,28,46,36,32,58,48,48,72,100,164,86,92,206,70,160,159,205,226,201,144,210,232,185,242,237,213,258,316,310,370,330,383,347,363,498,436,419,453,439,431,489,473,487,475,546,586,566,529,484,510,538,554,572,601,552,544,636,576,687,646,578,648,602,582,636,667,550,700,631,685,642,779,726,681,678,648,698,714,693,659,704,684,735,690,750,698,704,676,553,645,789,634,654,692,622,691,699,633,702,729,593,625,675,662,608,668,684,587,526,643,584,512,527,476,591,506,564,582,525,543,473,477,509,468,515,413,414,399,410,368,403,371,326,320,324,314,314,313,328,292,349,307,299,287]
[34,20,20,20,50,32,36,26,32,42,44,50,70,70,52,62,72,60,129,195,98,224,213,244,248,182,199,285,247,332,374,332,263,361,322,390,349,331,407,360,488,530,491,551,507,556,489,498,548,684,565,567,609,612,715,612,582,627,571,563,594,549,597,671,684,685,669,655,773,666,668,659,637,660,695,650,710,703,660,801,755,750,624,737,701,758,725,739,771,737,690,867,664,774,721,681,669,606,675,639,734,687,697,654,695,694,756,684,721,716,578,640,661,615,671,718,637,556,555,589,593,613,657,502,524,499,476,573,458,562,457,447,417,478,415,384,392,413,363,313,397,364,316,350,279,267,354,297,281,255]
[46,26,34,22,40,22,30,42,30,46,42,52,78,50,70,44,88,86,80,145,209,245,148,220,192,233,216,290,217,306,293,366,383,391,348,434,407,427,389,439,449,529,489,508,513,517,494,563,556,514,559,594,530,590,612,573,605,802,622,672,584,716,700,668,619,735,797,668,638,720,708,759,644,759,743,794,825,729,728,742,669,774,700,794,724,794,818,692,773,817,756,708,787,697,887,793,694,771,686,666,715,693,697,730,676,592,691,716,680,757,601,658,663,663,648,592,700,613,607,651,632,613,576,615,571,554,572,475,578,454,403,556,512,411,450,406,387,391,435,341,436,387,302,306,407,326,351,312,369,242]
[20,22,20,26,32,38,28,34,38,50,66,36,54,64,52,74,156,70,92,151,203,210,254,265,203,265,251,232,263,359,319,283,295,320,369,366,391,454,524,449,455,506,471,525,527,535,541,577,569,591,640,565,677,606,578,669,674,605,698,697,821,703,701,626,677,684,596,839,697,691,805,791,713,742,793,709,699,763,753,786,754,819,796,792,771,711,834,758,750,781,689,825,713,772,819,837,781,923,771,746,786,802,713,717,737,768,681,721,737,690,642,666,783,635,671,665,634,627,580,610,632,617,542,544,548,553,566,523,445,548,506,436,488,427,558,477,470,381,431,385,366,356,389,371,359,361,337,288,348,271]
[30,30,14,50,42,24,34,44,52,56,58,66,58,80,88,90,80,74,196,96,252,152,210,182,275,248,337,240,234,282,312,368,361,375,358,463,397,439,446,500,508,561,493,455,509,616,628,522,653,590,539,607,698,575,692,674,655,622,612,668,798,627,771,813,768,716,711,790,829,795,761,802,800,867,820,735,768,866,899,748,765,820,806,772,797,889,761,788,801,805,818,794,881,856,691,750,754,765,733,782,917,665,681,798,798,728,857,769,758,760,675,658,782,784,657,680,669,691,626,595,647,634,644,657,606,619,568,625,588,501,471,497,483,416,493,510,413,475,390,376,352,405,358,334,410,391,323,322,255,323]
[42,34,38,26,44,42,32,46,50,50,52,42,76,80,100,82,98,100,163,182,215,242,232,266,217,226,258,330,296,363,291,369,413,490,465,500,463,468,569,426,556,679,573,584,640,540,574,639,660,626,703,596,693,646,725,663,709,683,789,717,677,744,830,895,799,811,799,836,799,828,800,860,794,964,842,841,855,807,856,878,804,762,897,818,932,771,837,776,917,807,799,794,825,764,781,818,681,799,756,843,838,832,765,814,803,782,824,733,708,801,932,800,765,675,776,630,687,683,610,654,786,600,616,610,604,508,593,534,541,510,554,521,431,535,475,484,413,429,427,436,383,356,396,344,319,295,337,363,421,263]
[32,34,54,36,38,42,34,40,56,34,54,70,142,70,74,92,123,185,114,211,176,188,211,294,311,269,340,345,331,382,371,423,351,377,446,488,457,485,568,570,517,556,594,705,698,604,665,644,606,668,637,692,733,621,761,740,675,697,837,717,821,848,852,817,827,829,887,876,877,843,774,930,944,901,881,959,842,1091,845,953,822,953,901,973,975,907,842,897,816,799,825,988,847,782,898,844,924,929,861,728,866,897,793,926,894,840,822,843,829,817,861,759,859,787,882,791,679,728,674,803,651,797,654,625,665,642,595,728,622,587,599,541,503,564,475,459,410,401,413,448,468,339,426,337,399,278,356,312,281,253]
[38,30,32,34,18,52,24,48,62,48,44,76,80,82,98,175,190,187,191,182,242,167,302,199,285,197,309,329,287,331,375,441,420,527,476,552,546,596,540,563,578,666,726,685,619,698,650,648,778,649,721,730,782,782,895,759,677,827,778,800,877,885,887,912,817,861,927,856,921,929,960,781,911,985,974,1021,1036,857,984,974,1163,880,926,949,912,880,973,999,832,958,931,905,901,842,919,944,935,839,893,975,957,874,883,844,819,892,806,913,889,877,846,798,813,855,798,739,815,886,842,645,673,626,697,680,660,621,655,584,598,631,649,539,585,480,560,469,438,505,371,439,430,434,386,382,345,418,356,381,257,338]
[18,34,46,44,26,42,36,50,76,52,88,62,64,96,125,147,127,150,197,201,269,258,264,218,298,371,281,418,373,417,419,553,531,428,473,564,576,544,638,560,601,690,693,663,752,703,888,776,777,761,882,748,824,720,816,797,779,885,859,808,787,883,988,818,882,850,983,973,849,925,881,897,1094,933,886,928,903,1018,924,830,963,965,965,1105,941,978,929,881,1001,926,940,925,1003,970,959,912,1034,929,855,858,897,917,1003,838,952,946,939,925,880,897,938,889,876,889,773,869,797,771,659,726,953,788,794,768,737,765,683,577,700,675,603,580,483,588,570,560,525,453,508,447,429,405,361,361,350,426,308,334,332,345]
[22,24,32,34,32,24,44,56,44,66,58,56,96,123,90,180,200,157,235,192,268,270,272,311,331,386,278,400,380,350,495,503,487,480,448,580,565,532,546,599,711,620,631,634,744,749,731,826,808,892,871,777,761,747,823,875,878,819,841,916,933,968,886,896,1007,898,909,798,945,899,996,1084,1039,1013,904,992,943,1022,990,993,1015,1052,1008,962,944,1002,1144,932,929,981,1023,1009,986,935,937,979,919,971,928,940,1064,907,936,970,855,910,889,812,882,885,927,822,795,832,863,908,763,844,824,780,789,743,815,809,830,704,602,672,631,583,557,617,508,612,615,521,578,463,476,437,403,396,431,434,382,366,354,381,331,337]
[42,48,34,26,30,36,42,32,54,36,50,80,86,98,181,171,187,240,209,276,281,310,240,314,336,406,396,458,481,456,473,557,467,562,568,563,609,531,660,611,666,673,658,792,703,817,757,720,795,746,896,882,913,874,852,881,976,976,911,911,915,946,1008,987,988,1029,980,996,1056,1070,1041,944,1015,1065,1069,1067,1131,988,1135,1018,1103,1113,1090,1100,1128,1067,1119,1092,1073,1237,1017,1038,1028,1019,1122,991,1027,1105,943,1038,1031,949,1005,970,1040,971,1009,950,1038,1014,962,948,876,904,930,789,830,841,835,790,803,750,690,771,789,801,892,632,680,654,725,638,663,619,541,505,440,485,456,511,414,425,379,479,357,385,347,321,270,360]
[28,34,28,38,36,46,36,50,68,68,56,78,76,136,100,206,163,177,233,221,270,274,212,301,332,438,383,388,461,495,397,525,536,626,615,539,583,592,739,771,823,734,736,806,725,742,831,846,801,875,896,966,862,908,917,1014,909,979,896,1007,1029,992,988,1011,967,997,1023,1053,1064,1016,1069,1019,1123,1140,1051,1096,1041,1031,1005,967,1099,1132,1129,1126,1091,1131,1087,1069,1084,1079,1069,1086,1292,1036,1001,1078,1130,960,921,1070,1044,1003,1022,894,981,982,1016,931,931,967,933,987,889,836,885,882,907,878,841,850,881,762,710,657,731,630,778,663,753,723,820,673,535,545,536,529,498,545,537,456,380,476,481,444,442,322,420,389,361,311]
[38,34,18,32,38,42,36,44,46,48,54,76,84,180,96,161,221,205,222,285,215,335,391,335,412,361,399,434,487,527,516,571,576,644,594,540,682,612,682,763,777,794,737,847,822,892,782,928,984,1025,995,935,907,877,980,1034,991,979,1052,1324,1043,1081,998,1137,974,1080,1061,1115,1101,1090,1136,1108,1168,1088,1070,1038,1182,1045,1172,1046,1139,1164,1231,1205,1183,1110,1098,1168,1109,1102,1068,1030,1096,1097,1210,1149,1307,1137,1096,1075,1144,1057,1057,1067,1064,1000,1056,1024,1060,1035,1049,963,899,866,950,996,900,854,909,848,890,910,873,742,775,804,747,705,632,647,724,712,689,686,608,539,570,503,589,460,477,491,429,414,370,351,351,310,385,412]
[22,44,18,40,46,44,42,40,40,54,70,98,190,100,98,142,201,212,247,293,360,310,346,357,473,511,472,515,586,573,573,637,585,704,699,701,611,691,763,747,860,763,856,857,847,883,877,956,920,987,867,1040,931,982,988,1035,1103,1066,1180,1047,1081,1161,1225,1062,1056,1104,1197,1161,1095,1031,1033,1186,1146,1168,1322,1281,1125,1096,1200,1167,1139,1100,1153,1272,1235,1202,1209,1198,1251,1199,1179,1114,1294,1142,1081,1123,1140,1104,1170,1177,1327,1180,1109,1063,1184,1081,1044,1081,1047,979,1109,1013,999,910,1073,914,1022,1016,889,952,918,824,919,902,838,839,761,721,678,627,672,580,641,647,609,605,571,551,591,499,432,384,501,470,482,390,374,409,372,382]
[22,46,44,36,34,24,34,60,56,48,66,160,82,135,199,203,271,304,297,324,323,323,327,428,467,363,452,493,529,650,598,590,610,720,665,679,757,865,856,844,816,863,858,872,937,867,857,1000,1089,954,982,1060,1081,1102,999,1004,1142,1063,1069,1070,1090,1204,1205,1092,1172,1084,1399,1191,1191,1215,1187,1204,1197,1279,1239,1253,1161,1218,1188,1389,1121,1256,1267,1191,1239,1156,1235,1231,1235,1295,1297,1217,1120,1166,1166,1208,1069,1218,1055,1220,1144,1142,1100,1262,1101,1070,1188,1132,1176,1147,1137,1084,1023,918,1066,1023,1007,1013,948,888,825,883,827,861,789,759,786,743,712,714,716,645,558,552,583,615,575,602,504,550,474,554,438,384,438,417,444,345,382,369]
[40,38,24,34,32,34,42,46,66,70,84,84,84,162,143,217,189,372,385,307,339,372,432,485,524,529,612,496,488,583,613,645,843,748,811,735,732,802,850,912,808,800,908,960,948,1066,1179,1028,962,1008,1128,1014,1029,1043,1152,1102,1102,1188,1266,1133,1135,1212,1285,1349,1257,1351,1306,1285,1285,1572,1229,1307,1318,1351,1271,1281,1264,1231,1328,1377,1343,1256,1322,1287,1358,1326,1409,1194,1196,1120,1260,1221,1304,1316,1186,1265,1210,1277,1225,1138,1132,1209,1164,1035,1310,1109,1463,1188,1138,1254,1167,1173,1114,1048,1128,1076,966,974,981,981,915,925,979,831,898,817,818,833,778,755,771,788,637,563,636,642,642,561,558,514,450,447,522,400,511,475,382,322,380,416]
[18,24,22,26,38,30,48,62,62,66,60,117,223,164,249,207,215,340,282,356,398,463,410,438,519,521,502,553,581,646,665,683,694,825,860,1025,890,893,926,994,991,946,1050,1039,1019,1142,1067,1119,1142,1196,1165,1104,1019,1143,1099,1218,1115,1391,1214,1269,1249,1236,1283,1410,1180,1299,1380,1367,1241,1260,1295,1426,1662,1360,1331,1297,1371,1423,1317,1351,1402,1408,1302,1304,1514,1383,1274,1287,1544,1386,1303,1209,1367,1354,1334,1325,1381,1207,1350,1220,1291,1303,1350,1200,1246,1374,1248,1265,1200,1392,1228,1133,1215,1178,1170,1117,1115,1009,1069,1064,964,956,961,932,951,860,826,781,802,787,732,715,595,647,646,634,510,551,627,478,516,531,462,499,477,402,432,459,375,395]
[24,38,34,42,34,50,56,38,86,70,80,155,129,196,250,299,354,409,374,393,486,402,520,548,633,650,728,654,768,698,740,736,707,771,923,928,873,963,1195,951,1092,1065,1119,1048,1103,1141,1111,1146,1109,1167,1230,1246,1142,1260,1277,1164,1247,1283,1335,1314,1448,1320,1312,1344,1408,1412,1337,1420,1361,1433,1540,1507,1422,1404,1461,1609,1539,1464,1431,1399,1557,1334,1358,1434,1395,1408,1430,1416,1287,1410,1363,1377,1401,1464,1391,1369,1347,1293,1374,1257,1235,1265,1282,1198,1174,1293,1258,1239,1235,1243,1301,1187,1491,1216,1239,1135,1119,1027,1095,1025,966,980,898,971,852,871,907,750,702,781,719,792,709,682,588,616,671,526,506,556,639,550,538,445,472,481,415,423,412,423]
[24,36,62,54,40,44,44,68,52,70,88,84,231,214,222,241,338,291,371,452,564,567,486,598,650,694,658,767,787,805,749,795,949,852,855,874,932,1045,985,1223,1232,1215,1234,1195,1247,1166,1233,1335,1300,1298,1185,1331,1282,1339,1357,1379,1284,1308,1330,1368,1377,1338,1439,1489,1389,1414,1395,1516,1553,1496,1448,1484,1504,1539,1433,1547,1503,1517,1648,1409,1499,1413,1602,1636,1474,1507,1499,1373,1421,1357,1485,1468,1455,1509,1412,1383,1470,1391,1336,1277,1286,1296,1333,1395,1368,1338,1284,1359,1441,1294,1390,1150,1218,1222,1225,1283,1218,990,1114,1126,1006,1051,996,918,941,845,916,789,824,774,722,697,748,639,632,577,585,658,587,645,534,580,474,457,436,497,450,339,383,445]
[42,32,34,38,42,36,66,54,84,82,86,146,249,183,232,240,377,386,438,487,633,623,635,776,716,775,797,804,822,888,845,911,909,952,945,994,1027,1060,1187,1181,1238,1187,1347,1475,1317,1280,1247,1304,1319,1462,1422,1383,1416,1423,1387,1480,1476,1439,1430,1523,1527,1570,1516,1499,1520,1491,1566,1514,1541,1504,1566,1545,1704,1601,1509,1515,1689,1466,1516,1489,1535,1888,1536,1543,1625,1621,1479,1517,1599,1613,1518,1548,1329,1382,1370,1318,1503,1408,1364,1357,1300,1383,1354,1223,1309,1348,1267,1325,1294,1293,1300,1393,1227,1202,1198,1136,1219,1183,1318,1016,1116,983,999,929,929,915,876,921,846,790,702,752,704,671,651,660,655,614,591,594,564,557,511,488,564,373,373,349,366,337]
[36,34,62,34,38,58,48,78,50,92,116,179,211,152,249,289,370,401,528,505,597,649,685,676,676,752,790,777,781,825,955,1072,1053,913,1015,1015,1079,1023,1125,1197,1215,1264,1320,1206,1400,1416,1556,1299,1329,1335,1350,1421,1366,1352,1395,1369,1456,1396,1402,1523,1458,1676,1588,1587,1534,1509,1505,1569,1630,1607,1615,1616,1513,1606,1700,1633,1461,1589,1522,1578,1654,1670,1598,1978,1628,1515,1484,1577,1399,1412,1500,1510,1453,1546,1537,1528,1442,1246,1349,1439,1392,1375,1335,1436,1402,1403,1404,1345,1425,1379,1356,1279,1297,1321,1259,1235,1030,1144,1185,1127,1057,1251,986,989,1022,978,853,912,722,809,793,785,691,656,685,572,627,609,624,568,548,576,554,442,447,420,459,387,388,317]
[28,42,30,34,68,44,48,78,48,164,94,98,203,257,209,275,366,478,561,616,646,808,825,844,834,892,826,773,894,917,1063,1104,1015,999,997,1069,1059,1093,1145,1353,1360,1458,1384,1398,1265,1421,1400,1299,1456,1647,1411,1462,1354,1463,1610,1330,1524,1356,1441,1652,1594,1635,1665,1583,1619,1449,1683,1649,1621,1714,1725,1748,1506,1658,1700,1697,1556,1568,1725,1523,1757,1588,1577,1664,1626,1520,1965,1474,1415,1528,1640,1637,1566,1547,1588,1421,1513,1330,1342,1457,1417,1446,1415,1410,1371,1408,1351,1375,1329,1490,1478,1365,1391,1314,1201,1204,1338,1181,1247,1204,1073,1029,966,1138,941,874,921,910,827,811,762,713,709,718,607,605,644,552,615,552,533,503,499,493,508,428,410,328,352,369]
[38,48,50,46,40,42,58,52,54,90,136,231,167,277,307,335,432,559,567,661,720,887,988,1038,877,918,869,880,959,1128,1073,1054,1205,1190,1202,1169,1034,1181,1229,1415,1381,1598,1632,1578,1557,1549,1404,1381,1426,1415,1604,1616,1922,1505,1468,1460,1469,1530,1536,1670,1723,1860,1748,1723,1727,1680,1687,1646,1693,1755,1899,1891,1860,1765,1877,1801,1762,1638,1777,1738,1828,1812,1872,1721,1709,1571,1634,1526,1576,1834,1708,1620,1757,1593,1519,1477,1562,1545,1429,1418,1477,1526,1448,1480,1361,1429,1410,1440,1472,1511,1430,1497,1440,1359,1271,1275,1259,1163,1163,1180,1118,1049,1108,1141,1060,914,979,893,873,786,754,748,645,718,669,544,646,656,552,640,551,570,449,533,392,406,437,322,374,417]
[36,22,32,42,56,32,38,84,66,76,151,175,234,208,310,374,464,576,661,746,991,1168,1218,1130,1090,843,867,959,954,974,1108,1274,1304,1248,1253,1213,1148,1173,1326,1456,1612,1752,1831,1763,1618,1524,1457,1414,1569,1547,1580,1746,1736,1569,1594,1873,1556,1523,1711,1652,1752,1952,1958,1803,1742,1669,1729,1784,1714,1732,1865,2021,2145,2002,1871,1737,1783,1860,1786,1877,1929,2000,2064,1909,1586,1576,1583,1609,1729,1679,1812,1889,2146,1695,1567,1587,1486,1584,1578,1595,1496,1421,1590,1573,1419,1471,1414,1378,1525,1596,1506,1475,1436,1458,1414,1300,1248,1284,1279,1194,1167,1052,982,954,1076,939,878,960,837,1055,825,743,739,693,570,763,716,617,598,557,620,542,562,544,463,416,351,441,352,346]
[38,32,34,44,62,38,70,58,86,128,100,148,203,297,312,473,537,614,722,865,1473,1627,1550,1450,1212,1154,971,963,991,1144,1315,1383,1495,1449,1432,1217,1163,1295,1307,1605,1723,1991,1921,1969,1789,1543,1412,1434,1528,1615,1781,1891,1860,1796,1727,1614,1561,1536,2005,1691,1893,2030,2028,2041,1825,1701,1665,1651,1734,1861,2141,2376,2168,2178,1844,1829,1707,1764,1739,1781,1915,2171,2130,1953,1650,1819,1638,1674,1640,1737,1834,2106,1899,1846,1737,1971,1492,1611,1615,1614,1804,1595,1660,1544,1496,1411,1456,1485,1569,1559,1553,1657,1714,1468,1458,1305,1384,1208,1199,1275,1171,1166,1108,1046,1064,1004,946,913,939,765,818,808,868,717,752,730,675,596,623,529,540,527,513,544,532,490,467,432,352,439]
[28,36,44,44,54,64,58,62,136,196,179,156,261,178,287,371,506,492,798,1105,1456,1964,2136,2395,1512,1279,1257,1050,1112,1242,1497,1835,2140,1757,1655,1599,1469,1401,1453,1844,2155,2281,2620,2241,2124,1855,1658,1641,1740,1684,1955,2140,2199,2180,2024,1761,1779,1671,1696,1845,1978,2731,2373,2241,2139,1811,1780,1840,1856,1965,2155,2607,2449,2376,2163,2023,1803,1878,1946,2027,2203,2315,2160,2257,2037,2050,1658,1716,1820,1803,2086,2170,2176,2132,1778,1592,1539,1569,1910,1730,1838,1897,1823,1650,1605,1543,1582,1475,1556,1593,1828,1736,1781,1573,1485,1356,1404,1147,1226,1191,1194,1120,1175,1030,1251,1005,872,838,879,890,846,873,733,730,722,775,641,707,616,546,552,574,446,482,431,472,424,488,391,423]
[36,32,42,22,60,54,80,60,82,84,220,207,258,265,265,453,412,623,732,1093,1540,2600,3599,3298,2319,1780,1623,1255,1338,1370,1839,2435,2714,2552,2194,1883,1606,1580,1555,1924,2466,3238,3125,2824,2607,2125,1817,1769,1680,2037,2446,2918,2939,2673,2364,2074,1781,1685,1777,2049,2393,2990,2908,2599,2593,1967,1916,1856,1987,2210,2588,3243,3079,2836,2409,2135,1972,1992,2100,2072,2571,2895,2772,2493,2157,1977,1873,1911,2033,2090,2469,2803,2649,2591,2047,1925,1743,1636,1777,1928,2135,2827,2186,2043,1707,1648,1651,1590,1565,1717,1847,2074,1844,1621,1587,1434,1321,1296,1237,1267,1200,1195,1210,1120,1188,1012,1004,957,878,909,835,798,857,716,755,662,613,694,651,530,587,437,477,452,488,492,454,421,435,387]
[42,56,38,32,40,48,52,60,180,88,157,224,202,220,358,350,524,643,811,1081,1606,2478,3841,3650,2562,1874,1380,1225,1220,1820,1901,2717,3079,2959,2637,2013,1683,1610,1687,1909,2544,3285,3869,3622,2922,2307,2034,1878,1897,2104,2434,3043,3373,3439,2807,2374,2013,1859,1940,2187,2552,3201,3259,3012,2626,2246,2218,2249,2052,2531,2804,3413,3598,3139,2659,2416,2064,2070,2113,2202,2692,3413,3265,2873,2438,2166,1994,1854,2037,2221,2653,3095,3135,2827,2522,2128,1850,1681,1809,1938,2224,2656,2611,2362,2550,1858,1764,1542,1649,1735,1852,2030,2066,1772,1668,1586,1406,1374,1282,1390,1231,1249,1179,1114,1110,1052,976,1001,1011,882,823,922,792,809,741,628,631,715,667,630,583,689,559,427,543,480,509,368,389,365]
[38,24,38,56,46,60,76,66,72,216,141,233,191,331,311,398,446,532,804,1092,1450,1963,2870,2647,2268,1659,1302,1290,1266,1499,1815,2499,2962,3378,2215,1932,1565,1571,1716,1997,2506,3198,3643,3366,2672,2342,2143,1893,1902,2269,2390,2930,3364,3054,2687,2359,2050,1936,1855,2063,2192,2764,3053,2770,2461,2096,1966,1916,2127,2354,3095,3287,3579,3165,2582,2481,2076,1994,2098,2214,2524,3038,3064,2771,2516,2193,2021,1904,1882,2101,2432,2972,2953,2746,2356,2169,1997,1808,1793,1935,2185,2544,2608,2173,2082,1946,1722,1893,1787,1746,1764,2014,1830,1777,1609,1513,1502,1420,1308,1416,1216,1251,1252,1192,1150,1066,1057,930,938,879,938,885,873,777,729,699,626,665,653,650,597,601,548,554,607,450,398,437,422,380]
[22,36,40,46,38,58,76,54,88,175,120,207,293,283,251,360,487,555,747,985,1319,1535,1806,1838,1672,1464,1304,1299,1230,1348,1722,2037,2262,2218,2112,1824,1979,1504,1617,1890,2084,2416,2565,2671,2497,2061,1913,1823,1703,1961,2291,2464,2726,2561,2406,2289,1962,1910,1724,1802,2157,2277,2411,2583,2235,2156,1938,1978,1834,2163,2521,2765,2962,3317,2546,2247,2174,2081,2097,2080,2319,2498,2686,2402,2389,2122,1973,2117,1786,2094,2278,2401,2589,2392,2303,2116,2014,1876,1846,1834,2038,2122,2198,2212,2035,1877,1744,1729,1685,1840,1969,1804,1737,1660,1518,1609,1435,1511,1450,1339,1356,1307,1252,1153,1126,1021,1031,1024,986,1021,876,876,878,755,771,760,721,711,647,610,597,605,492,521,470,448,406,433,455,423]
[40,50,40,26,44,62,74,72,72,227,152,154,254,351,249,458,513,661,798,888,1083,1365,1460,1565,1429,1376,1231,1258,1379,1332,1578,1759,1774,1737,1744,1507,1452,1438,1623,1861,1831,1937,2085,2100,1987,1727,1824,1811,1656,1682,1950,2163,2242,2055,2003,1902,1726,1814,1878,1719,1953,2020,1954,2093,2038,2023,1946,1928,1864,2078,2260,2347,2503,2524,2460,2137,2484,2091,1897,2018,2140,2273,2228,2229,2074,1990,1774,1896,1956,1943,2043,2159,2106,2092,2157,1947,1874,1776,1742,1881,1908,2100,1979,1955,1906,1917,1775,1687,1692,1724,1665,1673,1753,2007,1641,1445,1469,1346,1457,1371,1350,1291,1241,1246,1173,1104,1092,961,989,974,885,896,811,807,814,700,574,628,584,573,558,532,501,547,535,508,403,470,384,301]
[38,20,34,28,78,48,58,82,100,98,149,164,264,293,329,400,536,674,747,922,1099,1239,1325,1287,1126,1163,1128,1234,1225,1352,1409,1396,1585,1430,1432,1398,1237,1426,1428,1399,1561,2243,1831,1775,1763,1739,1574,1552,1690,1644,1778,1926,1889,1778,1664,1777,1574,1765,1811,1743,1907,1725,2013,2002,1987,1892,1915,1948,1908,1980,2063,2301,2241,2133,2156,2166,2010,1997,1772,2368,1944,2109,2186,2060,1861,1758,1772,1862,1912,1795,1936,1866,2020,1992,1788,1734,1560,1753,1822,1802,1880,1794,1820,1741,1841,1758,1711,1762,1586,1710,1701,1699,1595,1523,1493,1472,1777,1393,1368,1381,1372,1339,1245,1203,1103,995,1016,1087,962,874,886,868,888,824,756,733,679,629,572,604,561,634,616,507,487,452,453,399,391,345]
[60,40,34,50,30,72,48,167,90,96,264,171,252,352,381,373,519,752,854,1014,1189,1306,1445,1325,1286,1202,1085,1249,1326,1349,1357,1408,1553,1474,1434,1350,1273,1329,1540,1608,1761,1762,1785,1746,1885,1571,1420,1541,1661,1715,1719,1917,1871,1773,1749,1660,1710,1718,1791,1778,1882,1916,1886,1901,1894,1803,1927,2055,2098,2075,2045,2126,2153,2259,2122,1940,2025,1999,1994,2004,2077,2036,2487,1966,2028,1844,1815,1736,1814,1946,1816,1964,1952,1851,1754,1773,1800,1799,1782,1788,1719,1896,1884,1724,1690,1812,1773,1654,1757,1809,1668,1731,1676,1715,1686,1570,1569,1441,1424,1700,1350,1280,1245,1193,1178,1205,1010,1090,874,998,834,914,869,779,806,719,640,717,661,647,616,587,609,526,505,440,501,492,435,389]
[38,40,42,70,56,54,62,72,82,198,201,193,263,323,427,447,558,823,917,1034,1428,1585,1669,1609,1474,1399,1168,1156,1202,1487,1468,1527,1548,1597,1522,1382,1252,1364,1606,1540,1635,1834,1837,1788,1673,1529,1515,1935,1594,1808,1829,1913,1887,1914,1805,1750,1759,1872,1799,1818,1833,1976,1908,1920,1947,1885,1868,1815,1925,1988,2179,2265,2187,2249,1995,1919,2020,1949,1945,1986,2180,2043,2094,2067,2036,2230,1831,1897,1947,1824,1877,1883,1801,1840,1758,1810,1680,1660,1826,1718,1856,1838,1946,1781,1808,1730,1729,1786,1820,1807,1724,1826,1740,1687,1680,1473,1564,1588,1484,1467,1379,1309,1546,1192,1128,1097,1035,1001,1024,1014,882,870,855,849,796,736,677,744,686,603,628,588,566,553,537,572,515,403,451,402]
[40,50,64,44,50,56,74,80,88,174,202,226,282,259,363,535,575,782,937,1363,1714,1993,2188,2118,1694,1471,1253,1287,1179,1429,1664,1716,1759,1777,1760,1504,1445,1474,1500,1673,2011,2137,2007,2114,1876,1770,1674,1697,1759,1872,1873,2348,2056,2018,1891,1774,1834,1833,1671,1885,1882,1961,1981,1960,1981,1946,1927,2058,2066,2182,2290,2436,2331,2377,2255,2046,1977,1987,2125,2287,2114,2113,2233,2125,1998,2012,1821,1934,2169,1943,1879,1795,1849,1960,1909,1736,1755,1694,1835,1920,1846,1901,1845,1826,1765,1795,1803,1745,1751,1831,1813,1901,1794,1697,1692,1510,1458,1496,1321,1340,1308,1328,1247,1196,1172,1290,976,1037,938,1054,937,795,726,808,808,760,660,690,611,584,538,588,520,596,487,455,455,456,397,437]
[20,50,46,44,50,72,68,60,94,140,210,200,230,205,310,460,691,829,1066,1502,2117,2859,3217,2815,2465,1995,1561,1301,1423,1454,1896,2195,2338,2180,1950,1814,1632,1592,1625,1797,2074,2366,2400,2344,2126,1915,1982,1931,1979,1895,1912,2215,2268,2560,1981,1950,1922,1902,1948,2020,1878,2039,2103,1968,2046,1940,2083,2081,2160,2272,2506,2446,2787,2491,2280,2161,2108,2180,2184,2332,2315,2421,2442,2229,2170,1994,2066,1861,2024,1901,1925,2351,1856,1933,1909,1772,1783,1668,1868,1901,2023,1959,1934,1840,1777,1690,1831,1713,1827,1791,2128,2181,1870,1796,1795,1499,1642,1650,1452,1596,1435,1339,1371,1235,1257,1169,1160,1011,1213,887,915,934,846,848,837,719,652,724,578,629,517,611,498,601,622,533,453,442,458,468]
[40,52,46,50,72,62,90,86,88,96,153,261,295,246,394,462,574,786,1060,1922,2300,4049,4846,4465,3473,2505,1940,1543,1532,1619,2157,2906,2986,2793,2341,2169,1882,1674,1934,2001,2330,2877,3118,2939,2631,2177,2274,2005,1919,2074,2300,2702,2804,2567,2312,2213,2390,1903,1966,1855,2127,2117,2169,2012,1907,1828,2058,2103,2300,2390,2704,3050,3005,2912,2493,2376,2125,2143,2188,2364,2479,2849,2709,2508,2221,2269,2083,1973,2036,1971,1774,2033,1984,1955,2183,1807,1882,1913,1901,2046,2176,2221,2013,1883,1917,1854,1757,1794,1813,1969,2236,2333,2177,1882,1681,1614,1605,1571,1511,1325,1417,1328,1338,1190,1168,1089,996,1004,962,926,810,1079,852,742,820,755,675,681,617,572,616,550,566,584,486,492,444,455,434,437]
[52,36,70,46,40,48,64,72,70,197,109,253,318,359,281,459,570,753,1059,1512,2201,4001,6154,4489,3070,2465,1915,1648,1669,1739,2390,3323,3291,3316,2697,2200,1678,1754,1842,2013,2443,3390,3787,3533,2875,2416,2054,1951,1911,2116,2392,2934,3143,2807,2684,2269,2104,2220,1916,2473,1949,1999,2076,2005,2056,2088,2189,2106,2331,2376,2979,3405,3663,3165,2749,2392,2246,2195,2307,2402,2575,3111,3177,2825,2429,2112,2082,2016,1949,1877,2014,2068,2069,1983,1960,1919,2274,1818,1892,1935,2052,2262,2228,2060,1918,1858,1769,1819,1988,1942,2313,2362,2113,2045,1784,1640,1618,1501,1518,1425,1467,1295,1317,1218,1203,1154,1044,1080,1004,933,792,921,881,785,902,757,652,689,660,624,682,538,568,542,495,506,514,429,464,421]
[28,50,26,54,64,88,32,70,96,198,200,203,263,291,307,405,473,671,907,1299,1958,3036,3733,3657,2899,2597,1656,1435,1561,1742,2125,2765,3036,2857,2419,2103,1666,1644,1752,2090,2333,2914,3225,3123,2627,2236,1951,2035,1820,1992,2322,2839,3030,2746,2559,2214,2041,1911,1770,1847,1908,2098,2657,2089,2043,2005,1968,2093,2293,2392,2738,3293,3329,2984,2704,2379,2331,2141,2199,2298,2428,2866,2918,2903,2651,2212,2070,2058,2158,1821,2017,1869,1996,2032,1802,1895,1831,1847,1950,2223,2019,2245,2089,1896,1792,1815,1883,1823,1922,1973,2067,2154,2251,1974,1795,1689,1635,1470,1488,1425,1367,1293,1297,1256,1163,1109,975,1075,984,965,930,937,824,800,763,708,827,817,621,575,663,526,562,670,542,483,485,406,392,417]
[46,40,52,38,48,68,70,90,84,157,223,169,268,329,354,375,536,670,825,1076,1487,2086,2405,2540,2141,1909,1547,1724,1520,1660,1923,2238,2433,2183,2150,1809,1683,1652,1827,1796,2150,2525,2726,2660,2322,1962,1925,1885,1843,2077,2130,2327,2493,2553,2330,2088,1974,1989,1986,1899,1967,1935,2109,1880,2019,2400,1930,2016,2093,2298,2605,2725,2719,2707,2755,2434,2210,2311,2219,2267,2483,2499,2635,2623,2401,2272,2151,2086,2058,1996,1995,1998,1948,1969,1956,1809,1838,1937,1854,1789,1924,1959,2452,1862,1939,1958,1841,1888,2060,2061,2009,1963,2078,1914,1763,1788,1625,1607,1578,1504,1460,1370,1205,1302,1327,1145,1045,976,1033,1072,998,915,902,848,895,753,735,649,751,615,741,544,620,523,493,447,453,469,387,378]
[38,52,28,40,66,58,64,78,88,88,119,239,261,349,290,331,427,636,758,930,1127,1519,1955,1906,1596,1427,1315,1360,1395,1553,1663,2150,1949,1870,1795,1528,1494,1541,1454,1708,1851,2121,2191,2191,2025,1893,1753,1688,1852,1941,1973,2068,2196,2340,2099,1947,1894,1912,1938,1939,2013,1956,1975,2068,1854,1963,2112,2006,2469,2146,2327,2475,2504,2438,2253,2181,2251,2263,2203,2246,2334,2370,2589,2361,2183,2303,2134,1964,1984,2045,1959,1911,1953,1932,2055,1940,1824,1882,1995,1809,1895,1688,1960,2049,1743,2284,1924,1952,1831,1965,2024,1948,1929,1844,1687,1826,1686,1557,1547,1394,1385,1356,1492,1314,1207,1224,1159,1102,1030,1010,1025,973,876,883,767,826,690,702,636,637,583,531,674,561,556,548,399,498,441,412]
[52,52,44,42,56,64,78,78,181,199,222,213,237,327,490,496,594,758,933,1062,1244,1381,1500,1314,1164,1071,1264,1404,1494,1471,1632,1708,2028,1521,1517,1570,1310,1544,1681,1808,1811,1776,1753,1668,1701,1846,1881,1678,1809,1977,2114,2118,2159,1918,1869,1885,1850,1867,1973,2015,1903,1944,2007,1956,1991,1984,2104,1990,1991,2317,2241,2325,2267,2176,2165,2153,1995,2209,2226,2229,2345,2317,2235,2285,2062,1970,1990,1966,1894,1853,1930,1892,1943,1872,1843,1802,1864,1870,1783,1901,1852,1996,1877,1799,1863,1871,1867,2248,1964,1921,1955,1979,1906,1784,1707,1612,1614,1570,1491,1529,1432,1425,1192,1282,1212,1193,1080,1105,976,889,915,872,837,803,752,690,671,651,629,606,638,576,561,495,577,395,397,453,343,440]
[40,32,64,62,58,50,72,82,161,163,161,210,321,365,465,483,600,757,799,937,1240,1390,1251,1085,1047,1126,1206,1322,1423,1511,1423,1498,1630,1667,1414,1522,1325,1708,1524,1755,1764,1896,1810,1858,1734,1693,1638,1830,1837,1932,1944,1954,1966,1953,1877,1923,1904,1798,1868,1975,2021,1895,2008,1947,1975,2052,2100,2086,2098,2184,2260,2905,2121,2155,2186,2423,2184,2158,2379,2468,2358,2335,2398,2283,2158,2037,2004,2049,2022,2018,1912,2050,1886,1901,1953,1896,1766,1894,1977,2007,1919,1922,1953,1826,1815,1954,1775,1943,2384,2002,2006,2070,1925,1800,1719,1709,1656,1567,1497,1362,1376,1363,1352,1247,1193,1185,1059,1022,1020,1007,874,972,918,870,719,709,750,690,710,631,589,609,592,472,429,465,455,437,443,351]
[36,38,44,50,56,64,70,82,153,124,176,172,283,288,329,324,502,654,844,892,1150,1488,1506,1502,1420,1269,1220,1116,1224,1403,1454,1487,1612,1520,1458,1464,1477,1652,1478,1453,1732,1718,1847,1857,1727,1685,1737,1686,1821,1915,2072,2011,2073,2049,1882,1959,2002,1808,1902,2093,2056,2110,2008,1944,2112,1967,2012,1964,2106,2090,2170,2258,2278,2189,2525,2109,2175,2116,2364,2403,2346,2584,2454,2416,2310,2173,1926,1927,2056,2164,2038,2014,1902,1905,1890,1912,1858,1840,1903,2046,2021,1845,1825,1797,1866,1860,1886,2018,1990,1980,2155,2487,1997,2049,1833,1861,1626,1529,1602,1501,1388,1457,1409,1362,1283,1183,1172,1058,1173,1022,1020,933,875,800,786,781,707,691,698,573,649,551,610,616,498,386,534,414,438,467]
[42,28,24,44,48,64,60,84,212,90,167,221,197,251,346,365,539,601,781,1101,1397,1748,2005,2009,1818,1572,1525,1319,1237,1430,1656,1662,1825,1667,1509,1451,1550,1534,1523,1669,2250,1954,1933,1895,1714,1895,1749,1748,1830,2002,2177,2322,2543,2052,2166,2111,1957,1862,1978,2160,2159,2226,2181,1997,2145,2075,2140,2070,2085,2388,2503,2533,2439,2354,2446,2009,2192,2253,2863,2839,2846,2909,2886,2808,2523,2369,2254,2228,2070,2102,2282,2191,2088,2033,2035,2033,1903,1986,1923,2047,1981,2019,2070,2038,1974,1987,2025,2008,2112,2296,2387,2550,2247,2174,2000,2205,1826,1689,1630,1618,1505,1442,1380,1318,1259,1173,1190,1052,1028,1038,975,899,855,805,817,698,845,741,647,574,617,646,570,599,431,571,483,476,416,392]
[40,50,68,46,64,54,72,80,76,190,202,225,242,307,330,431,545,593,1000,1286,1727,2722,2919,2869,2482,2031,1834,1511,1325,1521,1708,1833,1943,1815,1871,1632,1497,1539,1588,1899,1960,2205,2135,2482,1967,1949,1922,1863,1969,2236,2353,2631,2722,2376,2303,2339,2100,2052,2140,2258,2310,2558,2461,2416,2415,2229,2216,2249,2292,2383,2608,2722,2645,2618,2517,2199,2318,2396,2489,2898,3836,3419,3224,2894,2526,2380,2345,2151,2249,2160,2185,2246,2184,2190,2169,1990,2038,1955,1941,2042,2098,2105,2131,1801,2002,2081,2004,2211,2390,2594,2764,2898,2583,2236,2098,1868,1883,1619,2106,1541,1439,1438,1397,1310,1332,1291,1233,1055,1005,1048,961,916,867,831,899,756,749,647,687,713,593,622,580,532,480,510,375,463,453,466]
[38,50,44,58,54,46,38,64,68,187,237,244,250,233,342,414,555,736,1095,1426,2300,3644,3927,3508,3013,2581,2129,1655,1558,1546,1920,2204,2397,2219,1830,1817,1552,1482,1522,1877,2202,2642,2594,2578,2319,2198,2482,1946,2113,2220,2717,3214,3089,2797,2558,2420,2243,2180,2122,2228,2537,2826,2885,2551,2423,2431,2267,2211,2203,2565,2885,3136,3086,2749,2416,2382,2416,2507,2641,2961,3574,4065,3721,3769,2642,2348,2231,2237,2261,2307,2244,2408,2367,2196,2123,2181,2222,2048,2054,1967,2158,2178,2029,2125,1973,2004,1985,2196,2382,2795,3190,3359,3046,2615,2274,1926,1779,1689,1530,1572,1385,1579,1407,1287,1254,1328,1154,1095,994,989,936,969,927,769,759,768,799,699,653,613,556,532,625,516,531,513,490,467,473,349]
[32,38,38,54,54,68,80,74,88,84,226,207,307,258,294,400,536,678,1108,1565,2082,3622,4583,3959,3182,2846,2033,1808,1694,1643,1831,2233,2368,2422,2160,1923,1660,1613,1689,1837,1974,2429,2822,2656,2380,2205,2021,1931,2122,2700,2744,3460,3620,3291,2823,2494,2314,2216,2155,2432,2486,2976,3013,2843,2589,2357,2161,2171,2209,2470,2690,3197,3239,2902,2640,2566,2293,2329,2774,2865,3673,4080,3928,3297,2768,2420,2262,2747,2132,2198,2449,2368,2588,2186,2203,2081,2125,2115,1991,2097,2148,2167,2028,2072,2045,2127,2148,2206,2402,2802,3275,3656,3126,2704,2457,2160,1975,1708,1757,1522,1509,1510,1429,1320,1444,1200,1260,1130,1004,981,1017,893,935,837,859,806,729,688,711,743,597,503,593,469,578,436,487,447,397,439]
[46,26,48,46,48,72,64,70,80,160,168,207,183,325,324,423,491,688,956,1509,1800,2724,3610,3328,2662,2317,1938,1637,1535,1704,1795,2199,2301,2210,1884,1783,1566,1743,1657,1868,1925,2361,2597,2432,2265,2071,1938,1957,2003,2341,2775,3023,4014,3057,2749,2404,2284,2306,2144,2434,2786,2817,2956,2796,2290,2189,2120,2159,2086,2480,2662,2949,2858,2730,2624,2372,2513,2358,2671,2812,3080,3413,3370,3031,2676,2483,2398,2179,2317,2185,2985,2351,2398,2405,2244,2098,2084,2053,2027,2052,2131,2264,2107,2191,2196,2146,2201,2319,2375,2857,2958,2969,2855,2582,2333,2077,1915,1907,1719,1620,1551,1461,1448,1374,1318,1338,1153,1415,1118,1049,1033,927,934,884,892,792,742,697,696,639,564,612,677,592,534,521,362,534,385,382]
[40,20,38,46,30,84,54,94,84,100,191,174,224,327,409,428,515,761,1050,1224,1609,2017,2483,2361,2174,1854,1491,1503,1397,1631,1677,1970,1848,1845,1687,1615,1580,1588,1722,1698,1847,1981,2120,2113,2041,1865,1813,1940,1915,2265,2396,2759,2726,2819,2658,2735,2069,2163,2093,2283,2335,2516,2580,2540,2280,2342,2140,2210,2111,2299,2416,2400,2675,2660,2416,2296,2314,2302,2463,2622,2841,2944,2989,2824,2858,2371,2166,2314,2145,2315,2180,2417,2424,2703,2189,2144,2201,2044,2072,2135,2220,2269,2101,2127,2083,2097,2135,2208,2265,2336,2483,2522,2543,2463,2210,1972,1904,1831,1618,1595,1533,1610,1457,1379,1306,1227,1144,1120,1101,1049,1264,1071,946,827,932,784,698,751,695,616,640,662,633,606,521,531,507,426,472,384]
[54,60,30,58,62,68,50,74,82,157,117,243,238,368,319,464,562,564,772,968,1220,1779,1844,1894,1653,1420,1328,1362,1400,1457,1501,1614,1687,1558,1476,1467,1487,1557,1621,1647,1662,1886,1997,1889,1791,1859,1689,1773,1934,1922,2241,2443,2327,2493,2264,2109,2076,1988,2357,2180,2195,2390,2395,2322,2236,2199,2109,2162,2185,2169,2218,2304,2399,2306,2279,2119,2151,2193,2208,2356,2532,2738,2610,2476,2555,2294,2151,2147,2078,2115,2262,2296,2152,2137,2138,2446,2029,2074,2210,2057,2072,2069,2156,2095,2125,2053,1980,1997,2243,2219,2227,2332,2154,2209,2122,1999,1931,1762,1574,1690,1450,1362,1407,1256,1313,1347,1172,1074,1145,1008,918,892,891,987,837,711,775,686,632,702,622,519,550,567,553,433,452,438,375,488]
[38,38,38,34,58,58,56,72,82,168,214,206,278,352,297,407,592,679,701,886,981,1297,1323,1392,1535,1223,1279,1400,1265,1520,1495,1594,1584,1631,1575,1471,1463,1423,1584,1663,1748,1671,1922,1789,1786,1813,1812,1776,1952,2031,2140,2194,2347,2135,2217,2203,1981,1987,2031,2194,2079,2681,2343,2191,2179,2059,2136,2127,2156,2136,2320,2304,2356,2324,2174,2290,2108,2141,2140,2356,2352,2549,2635,2326,2346,2197,2158,2042,2145,2081,2182,2282,2187,2098,2210,2147,2048,2157,2547,2127,2288,2180,2193,2165,2239,2198,1977,2002,2205,2264,2200,2199,2114,2121,2089,1877,1913,1718,1722,1573,1565,1556,1411,1347,1307,1342,1215,1208,1059,983,1023,1005,1047,821,806,830,863,711,727,704,567,666,525,584,554,496,482,468,412,351]
[32,34,54,42,66,52,38,66,98,195,205,186,254,280,313,414,535,574,736,820,1072,1229,1386,1356,1108,1224,1148,1596,1331,1372,1431,1537,1486,1524,1430,1547,1589,1572,1587,1576,1736,1721,1630,1709,1787,1798,1769,1749,1804,1962,2066,2064,2157,2172,2194,2049,1932,1957,1977,2102,2223,2346,2308,2207,2570,2130,2148,2096,2030,2131,2316,2328,2190,2058,2320,2175,1979,2189,2181,2285,2285,2371,2306,2202,2260,2274,2115,2147,2062,2280,2227,2244,2194,2200,2181,2061,2055,2071,2206,2262,2229,2608,2109,2080,2168,2118,1945,2045,2176,2179,2137,2280,2091,2030,1981,1946,1838,1700,1732,1593,1615,1396,1528,1433,1335,1266,1266,1257,1084,1108,1011,972,888,879,917,749,770,691,720,748,595,529,588,570,501,434,488,441,400,401]
[38,24,36,42,44,68,54,80,135,122,192,242,201,291,313,450,498,678,816,938,1209,1348,1486,1561,1324,1167,1182,1317,1398,1530,1845,1563,1571,1553,1562,1489,1554,1464,1592,1613,1821,1768,1754,1820,1761,1733,1788,1758,1901,2014,2216,2136,2250,2166,2120,2032,2036,2050,2244,2138,2324,2084,2376,2132,2116,2193,2153,2498,2287,2192,2201,2367,2207,2098,2143,2168,2096,2173,2273,2363,2386,2471,2383,2387,2190,2215,2184,2002,2249,2359,2221,2341,2314,2187,2176,2059,2201,2131,2186,2251,2158,2303,2135,2294,2137,2478,2268,2064,2103,2294,2370,2368,2239,2096,1921,1838,1828,1698,1787,1754,1632,1461,1473,1454,1322,1292,1321,1141,1054,1011,1126,1043,910,809,843,793,728,745,702,642,649,562,650,542,503,510,418,499,486,413]
[28,38,36,56,58,52,78,86,100,139,214,190,271,329,338,505,549,669,944,1114,1373,1688,1929,1927,1627,1373,1248,1377,1355,1406,1588,1773,1816,2036,1625,1505,1504,1570,1623,1684,1958,2009,1769,1870,1827,1879,1873,1880,1976,2226,2314,2265,2284,2316,2290,2059,2138,2121,2088,2315,2460,2461,2363,2386,2279,2220,2258,2163,2113,2311,2344,2763,2284,2446,2201,2437,2264,2365,2403,2435,2689,2416,2481,2527,2250,2258,2233,2264,2150,2261,2339,2336,2259,2147,2194,2255,2154,2041,2176,2219,2251,2358,2291,2338,2161,2247,2094,2126,2781,2461,2428,2489,2305,2134,2041,1920,1879,1767,1809,1543,1707,1565,1506,1444,1358,1327,1259,1175,1170,1044,957,986,868,763,882,843,783,718,660,616,714,588,598,522,512,610,522,475,445,373]
[30,48,38,64,78,58,72,88,96,174,175,252,219,293,400,475,568,702,883,1206,1661,2473,2807,2711,2177,1796,1606,1363,1266,1585,1723,1817,1936,1842,1596,1662,1760,1391,1701,1797,1903,1987,2052,2036,2037,1918,1974,2008,2097,2263,2469,2765,2722,2567,2326,2301,2144,2076,2206,2375,2651,2710,2659,2574,2501,2362,2097,2364,2257,2396,2629,2441,2570,2575,2915,2266,2244,2426,2412,2478,2573,2756,2569,2453,2446,2402,2283,2157,2345,2527,2432,2357,2388,2361,2299,2196,2214,2219,2260,2415,2477,2438,2339,2402,2265,2239,2201,2290,2456,2558,2663,3311,2515,2296,2227,1994,1888,1862,1828,1696,1792,1590,1586,1478,1336,1281,1234,1213,1178,1087,1082,1061,933,928,839,824,747,765,760,705,663,572,609,515,475,547,490,440,509,330]
[54,24,52,48,60,72,62,88,64,169,240,275,269,273,367,495,604,773,1314,1572,2419,3843,3992,3289,2511,2137,1909,1379,1483,1614,1867,2106,2154,1880,1674,1727,1648,1558,1708,2283,2067,2138,2148,2049,2001,1927,1972,2091,2442,2314,2796,3159,3184,2921,2517,2412,2272,2158,2547,2605,2944,3290,3154,2915,2603,2398,2409,2372,2593,2500,2648,2876,2781,2699,2524,2433,2819,2397,2640,2609,2901,3005,2837,2783,2520,2272,2371,2379,2352,2444,2618,2440,2338,2476,2377,2194,2455,2318,2343,2528,2520,2536,2344,2368,2394,2295,2316,2382,2610,3016,3202,3281,2816,2389,2645,1946,2001,1840,1728,1849,1688,1527,1541,1375,1363,1235,1170,1116,1137,1072,1064,997,902,895,821,795,833,716,587,647,679,488,550,546,497,504,556,522,403,412]
[52,38,48,60,58,66,72,139,148,226,177,240,274,379,465,679,731,1178,1561,2491,4101,4200,3597,2703,2176,1706,1595,1511,1605,1850,1991,2143,1920,1807,1662,1716,1681,1695,1792,1951,2633,2019,2079,1985,2243,2195,2174,2114,2675,3141,3142,3269,2880,2771,2492,2518,2298,2407,2843,3209,3480,3416,3044,2836,2560,2506,2377,2483,2622,2735,3078,3020,2897,2548,2507,2354,2498,3147,2835,2978,3038,3016,2676,2616,2515,2328,2382,2431,2549,2458,2718,2553,2615,2396,2421,2472,2399,2372,2540,2544,2631,2346,2443,2472,2338,2382,2445,2660,3162,3498,3409,2922,2505,2329,2599,2068,1941,1776,1771,1657,1610,1495,1260,1294,1283,1192,1135,1140,1072,1015,949,930,883,848,750,759,712,672,615,625,655,512,653,517,533,472,469,439,394,353]
[40,46,54,66,42,76,78,78,92,197,285,271,256,327,370,445,563,718,928,1295,1867,2621,3424,3055,2287,1971,1764,1728,1505,1613,1861,1909,2010,1803,1713,1764,1782,1607,1805,1929,2010,2050,2455,2065,2050,1924,1996,2133,2288,2395,2678,3271,3201,3055,2587,2466,2439,2444,2402,2579,2892,3380,3175,3045,2940,2478,2470,2448,2601,2458,2734,2746,2892,2654,2478,2529,2408,2448,2502,3040,2921,3001,2987,2695,2654,2475,2482,2387,2425,2449,2582,2487,2532,2513,2327,2351,2456,2355,2491,2416,2469,2548,2520,2471,2359,2205,2308,2310,2594,2653,2955,3015,2701,2550,2348,2086,1975,2107,1636,1752,1584,1418,1435,1416,1319,1171,1250,1177,1117,1027,978,1021,867,847,796,763,737,675,651,683,626,559,558,576,607,445,458,468,351,425]
[46,28,54,50,58,74,60,179,221,191,249,249,287,241,342,464,538,686,852,1057,1454,1907,2349,2234,1854,1559,1521,1365,1689,1525,1756,1782,1640,1749,1763,1748,1719,1820,1850,1791,1952,2080,1993,2081,2080,2237,1872,1946,2128,2260,2561,2581,2627,2851,2437,2212,2213,2220,2240,2336,2617,2755,2706,2754,2510,2425,2410,2357,2356,2579,2500,2520,2655,2570,2413,2451,2255,2254,2214,2469,2752,2726,3213,2657,2502,2288,2276,2375,2242,2430,2481,2474,2545,2516,2323,2494,2381,2428,2235,2395,2363,2365,2316,2345,2400,2284,2290,2428,2328,2449,2613,2774,2611,2304,2222,1943,1872,1777,1797,2097,1626,1420,1422,1435,1269,1194,1225,1192,1096,1110,964,1013,873,845,913,811,761,740,718,655,650,629,519,596,428,464,452,433,429,342]
[38,44,60,42,60,74,58,84,90,176,170,221,253,285,413,424,511,604,668,912,1165,1278,1610,1699,1625,1413,1456,1449,1573,1591,1713,1783,1804,1723,1624,1746,1595,1569,1740,1784,1817,1919,1991,1941,1937,1891,1967,1910,2430,2096,2472,2407,2558,2322,2334,2130,2147,2121,2214,2500,2379,2512,2514,2550,2597,2279,2346,2177,2362,2400,2472,2511,2363,2485,2482,2489,2391,2244,2254,2307,2333,2553,2581,2500,2435,2714,2185,2277,2453,2405,2369,2497,2485,2438,2355,2318,2425,2325,2365,2325,2444,2403,2428,2388,2373,2324,2402,2278,2422,2350,2335,2470,2470,2250,2154,2054,1872,1886,1855,1809,1485,1527,1544,1611,1265,1236,1233,1047,1056,1084,1043,863,953,804,857,856,797,689,686,607,582,593,521,523,570,473,481,405,406,362]
[34,50,58,40,52,74,76,80,164,199,217,192,250,280,358,352,541,536,667,762,923,1160,1358,1291,1199,1295,1359,1418,1487,1764,1690,1769,1723,1646,1769,1725,1735,1730,1697,1893,1994,2165,2020,1898,2023,1985,1994,2019,2023,2218,2340,2838,2387,2380,2214,2326,2211,2165,2274,2446,2461,2581,2544,2491,2424,2366,2319,2347,2432,2473,2344,2558,2560,2323,2382,2315,2344,2328,2301,2363,2296,2456,2330,2556,2364,2435,2349,2383,2875,2506,2508,2413,2532,2404,2350,2423,2431,2495,2432,2401,2450,2465,2353,2536,2445,2312,2286,2302,2175,2241,2490,2423,2388,2175,2233,2021,2018,1757,1788,1698,1637,1586,1582,1421,1371,1540,1170,1214,1038,1097,987,935,929,929,751,810,744,767,663,635,654,616,520,531,507,451,485,391,423,471]
[28,46,54,72,42,74,70,82,98,147,161,246,294,260,354,474,432,705,735,800,961,1141,1350,1386,1175,1145,1225,1485,1532,1692,1664,1744,1719,1731,1762,1732,1712,1655,1745,1873,1984,2033,1986,1897,2045,2104,2051,2041,2057,2217,2325,2301,2389,2230,2748,2264,2216,2343,2214,2322,2478,2454,2540,2329,2407,2395,2269,2312,2268,2557,2353,2503,2590,2424,2286,2506,2402,2366,2305,2417,2552,2511,2386,2484,2400,2312,2372,2331,2476,2522,2445,3138,2593,2387,2549,2452,2280,2423,2330,2453,2622,2578,2596,2385,2487,2330,2455,2295,2314,2432,2415,2460,2247,2274,2083,2021,2037,1884,1662,1711,1708,1455,1440,1384,1218,1299,1139,1190,1192,1214,1037,936,908,835,879,790,759,692,657,672,637,552,503,504,459,487,431,391,373,353]
[30,42,46,40,56,48,78,60,131,140,218,210,196,281,364,379,484,597,691,839,1096,1063,1185,1084,1094,1087,1159,1281,1522,1702,1914,1772,1869,1837,1624,1604,1715,1806,1644,1884,1951,1861,1972,2014,1926,1948,1957,2108,2082,2301,2320,2449,2436,2352,2350,2386,2266,2905,2222,2316,2333,2543,2418,2535,2410,2247,2309,2249,2200,2470,2354,2421,2525,2334,2352,2341,2290,2330,2458,2476,2487,2396,2489,2306,2390,2415,2315,2483,2579,2608,2701,2719,2717,2600,2584,2949,2476,2661,2554,2521,2721,2734,2705,2388,2543,2292,2385,2258,2367,2463,2665,2502,2363,2180,1991,1994,1865,1741,1755,1646,1553,1542,1492,1537,1290,1321,1267,1190,1147,1080,1069,989,1072,882,807,716,720,729,697,600,647,527,588,540,527,475,484,483,456,435]
[30,46,48,42,62,66,64,86,181,176,165,229,222,320,360,457,497,627,777,994,1251,1354,1513,1887,1417,1321,1285,1401,1413,1726,1912,2042,2069,2028,1839,1838,1812,1772,1791,1875,1990,2075,2020,1969,2024,2096,2159,1993,2124,2331,2509,2757,2600,2579,2196,2265,2233,2338,2536,2326,2951,2620,2417,2380,2395,2520,2389,2312,2372,2288,2537,2523,2450,2538,2507,2421,2305,2299,2359,2453,2450,2474,2571,2489,2456,2419,2570,2527,2562,2660,2661,2910,2958,2753,2572,2656,2341,2826,2691,2603,2943,2817,2760,2452,2428,2372,2293,2306,2528,2636,2770,2650,2757,2306,2171,1807,1916,1828,1792,1689,1611,1576,1473,1373,1358,1221,1176,1187,1026,1021,1011,966,998,874,776,804,718,783,644,582,631,591,608,551,515,508,457,403,417,381]
[50,50,58,66,60,52,80,98,212,156,197,222,196,323,379,453,612,664,801,982,1432,1839,2048,2180,1963,1852,1876,1550,1478,1754,2111,2287,2464,2401,2298,2246,2023,1889,2011,1978,2028,2048,2239,2132,2341,2230,2144,2060,2380,2551,2844,3047,2915,2761,2624,2434,2382,2221,2390,2587,2876,2684,2856,3081,2651,2596,2341,2342,2453,2426,2641,2591,2588,2554,2465,2557,2280,2340,2443,2583,2583,2554,2677,2628,2624,2570,2416,2534,2789,2942,3209,3313,3039,2869,2765,2623,2776,2720,2923,3031,3958,3306,3086,2769,2559,2748,2608,2703,2865,2995,3304,3248,2924,2427,2179,2210,1868,1807,1821,1799,1610,1628,1438,1474,1405,1269,1185,1118,1029,1018,902,1011,856,855,826,830,752,641,775,630,588,527,532,487,496,449,451,440,386,386]
[40,42,40,60,74,52,90,98,134,193,203,281,218,377,400,440,580,716,909,1122,1931,2776,3031,2938,2421,2118,1754,1679,1537,2204,2345,2822,2814,2612,2469,2251,2060,2048,1932,1959,2020,2216,2269,2301,2271,2308,2156,2144,2294,2458,2810,3169,3110,2808,2693,2602,2417,2486,2590,2604,2933,3036,3033,2796,2844,2592,2995,2508,2562,2614,2665,2738,2678,2476,2623,2363,2634,2431,2399,2446,2690,2705,2653,2609,2550,2607,2521,2472,2801,2982,3482,3396,3237,3058,2801,2591,2710,2742,2876,3336,3665,3575,3393,2841,3123,2528,2620,2719,3157,3641,3847,3514,3096,2597,2354,2215,2110,1743,1671,1777,1601,1550,1427,1535,1344,1303,1119,1125,1142,1019,995,847,888,890,825,821,776,665,670,672,582,648,467,616,500,364,517,366,477,345]
[38,46,54,54,72,60,70,188,159,216,266,249,312,296,382,502,559,711,834,1156,1819,3002,3441,3115,2734,2268,2069,1920,1703,1855,2194,2873,3670,2855,2574,2316,2192,2045,1950,2199,2137,2401,2292,2398,2320,2247,2151,2248,2438,2647,2746,3330,3365,3068,2696,2586,2415,2563,2536,2772,3038,3254,3239,3160,2848,2692,2671,2581,2405,2948,2551,2671,2735,2565,2476,2507,2574,2528,2485,2467,2793,2735,2713,2595,2537,2584,2411,2736,2737,3025,3270,3763,3493,3057,2884,2768,2711,2846,3003,3140,3729,3912,3339,3040,2753,2652,2682,3331,3218,3380,4133,3905,3242,2788,2433,2176,2079,1992,1817,1705,1620,1572,1502,1413,1337,1377,1259,1200,1113,1041,987,921,874,880,855,744,705,745,593,649,501,586,555,507,569,511,454,440,425,411]
[46,38,40,64,62,64,80,203,150,190,227,295,277,348,440,427,607,826,975,1104,1547,2303,2971,2848,2317,2118,1842,1765,1652,1889,2209,2521,2791,2629,2472,2585,1946,1950,2046,2079,2090,2214,2214,2325,2246,2208,2061,2313,2391,2556,2885,3004,3077,2845,2566,2614,2451,2407,2676,2690,2961,2949,3134,2997,2733,2486,2442,2597,2470,2685,2490,2615,3238,2600,2441,2592,2339,2395,2437,2510,2647,2553,2496,2585,2443,2466,2380,2510,2762,2885,3031,3261,2969,2982,2782,2669,2583,2648,2632,2939,3328,3456,3356,2958,2721,2671,2468,2592,2706,3146,4097,3601,2901,2575,2390,2309,2147,1818,1687,1727,1695,1570,1507,1500,1329,1317,1242,1146,1123,1158,1025,1052,950,844,838,754,755,765,658,611,573,620,481,534,481,492,441,520,429,370]
[42,58,50,76,90,86,88,88,227,149,271,282,297,308,415,501,582,715,846,1083,1332,1904,2091,2124,1705,1690,1576,1673,1765,1962,2056,2176,2330,2451,2150,2066,2041,2004,2623,2227,2132,2309,2270,2347,2329,2276,2249,2314,2343,2677,2643,2748,2785,2653,2467,2268,2460,2545,2471,2643,2648,2778,2793,2888,2665,2577,2495,2469,2525,2633,2420,2546,2472,2544,2659,2960,2482,2521,2606,2541,2375,2634,2692,2566,2624,2455,2616,2534,2552,2789,2857,2979,2929,2762,2584,2496,2529,2640,2513,2729,2853,2943,2847,2708,2474,2537,2400,2626,2591,2875,2783,2722,3320,2413,2268,2137,1945,1911,1819,1681,1587,1491,1367,1509,1388,1278,1209,1142,1148,962,961,1069,840,903,805,746,703,690,605,659,687,570,586,477,473,506,449,383,410,356]
[46,44,52,64,58,90,141,78,96,131,223,253,334,392,394,504,644,725,789,912,1174,1318,1492,1552,1480,1461,1437,1533,1757,1897,1959,1995,2130,2133,2060,1969,1921,1958,2014,2055,2192,2748,2269,2292,2193,2224,2224,2140,2521,2429,2658,2433,2566,2653,2458,2386,2365,2410,2482,2585,2581,2843,2691,2604,2530,2474,2367,2503,2558,2413,2497,2426,2557,2416,2514,2367,2359,2456,3055,2475,2470,2585,2465,2540,2512,2366,2482,2522,2617,2593,2733,2785,2814,2674,2580,2367,2582,2571,2543,2615,2692,2767,2730,2600,2451,2604,2333,2302,2354,2492,2538,2455,2355,2274,2167,2446,1828,1709,1825,1731,1648,1528,1407,1461,1378,1227,1201,1151,1077,1076,918,989,930,901,779,817,800,699,684,614,625,551,550,602,448,406,373,438,379,351]
[44,60,50,68,76,80,86,193,161,141,260,324,312,356,469,532,668,684,819,978,1081,1359,1319,1289,1305,1317,1285,1521,1569,1800,1818,1869,1858,2006,1803,1863,1951,1867,2119,1988,2245,2225,2111,2173,2578,2324,2125,2305,2374,2450,2388,2473,2599,2480,2530,2438,2342,2346,2249,2297,2394,2552,2429,2582,2378,2533,2379,2464,2402,2514,2558,2561,2464,2381,2477,2307,2406,2424,2538,2322,2356,3042,2506,2439,2463,2357,2540,2456,2356,2536,2404,2488,2581,2470,2451,2532,2469,2581,2466,2442,2577,2433,2524,2384,2493,2243,2341,2245,2206,2267,2181,2206,2122,2057,2080,1742,1771,1766,1834,1582,1590,1408,1356,1384,1245,1199,1151,1092,1081,1057,997,895,922,905,776,737,813,608,565,546,508,521,539,493,481,445,405,462,375,397]
[52,56,76,70,74,88,76,92,105,175,296,367,277,361,461,493,740,836,895,1079,1192,1391,1463,1427,1323,1219,1318,1499,1617,1739,1782,1814,2169,1810,1811,1818,1791,1964,2046,2091,2241,2394,2353,2170,2252,2228,2289,2735,2272,2421,2371,2494,2558,2432,2416,2365,2330,2238,2282,2521,2397,2568,2420,2399,2342,2314,2480,2526,2449,2368,2542,2466,2363,2373,2368,2256,2348,2386,2397,2493,2468,2579,2627,2463,3025,2510,2418,2475,2282,2417,2325,2481,2561,2451,2450,2705,2493,2328,2405,2402,2662,2592,2584,2413,2448,2353,2279,2184,2204,2348,2123,2084,2126,1990,2101,1967,1711,1762,1601,1593,1466,1792,1503,1387,1371,1200,1244,1203,1061,1020,911,958,894,843,813,780,645,741,571,626,617,625,519,489,481,479,365,388,331,344]
[58,70,86,80,62,100,90,132,179,281,260,308,383,415,483,726,830,1003,1196,1414,1772,1576,1544,1397,1314,1370,1391,1597,1717,2005,2141,2004,2025,1934,1923,1902,1876,2101,2304,2574,2391,2448,2236,2314,2233,2031,2158,2376,2944,2543,2668,2602,2605,2296,2448,2240,2370,2461,2340,2549,2503,2513,2338,2148,2425,2497,2367,2488,2398,2499,2539,2613,2438,2570,2399,2425,2305,2477,2569,2726,2744,2496,2506,2427,2440,2847,2319,2426,2485,2562,2414,2595,2551,2328,2471,2500,2216,2398,2544,2546,2759,2444,2367,2298,2311,2227,2070,2075,2167,2015,2079,2118,1966,2082,1573,1758,1643,1602,1594,1423,1366,1335,1630,1164,1117,1108,1128,1134,1016,928,824,854,831,683,683,719,610,568,476,513,501,472,455,441,409,360,405,377,335,345]
[64,62,50,70,74,68,92,188,157,204,173,327,322,327,555,541,729,1008,1177,1532,1775,2124,2149,2054,1874,1591,1536,1418,1571,1858,2188,2291,2440,2329,2303,2039,2039,2019,2068,2392,2744,2708,2647,2538,2494,2271,2310,2365,2558,2879,2787,3535,2833,2658,2419,2514,2361,2344,2431,2505,2600,2551,2517,2660,2493,2485,2435,2364,2578,2629,2620,2691,2667,2581,2531,2524,2318,2341,2526,2624,2718,2996,2758,2617,2468,2433,2396,2617,2895,2607,2656,2807,2893,2759,2585,2471,2570,2516,2629,2697,2962,2758,2784,2601,2346,2432,2112,2142,2336,2367,2296,2159,2175,2179,1900,1849,1836,1613,1664,1571,1542,1609,1360,1278,1315,1408,1147,1119,1001,957,1038,929,885,847,804,771,663,604,529,616,494,570,585,521,422,444,472,368,410,351]
[38,44,74,58,76,66,92,122,198,241,200,296,361,417,486,648,880,1023,1552,1714,2428,3139,2969,2792,2259,2168,1705,1626,1829,2316,2646,2843,3152,2819,2573,2583,2318,2230,2255,2737,2805,3249,3216,2783,2791,2668,2517,2430,2710,2942,3160,3132,3321,2913,3299,2627,2363,2314,2618,2702,2837,2884,2667,2705,2595,2484,2458,2365,2665,2760,2783,2850,2726,2586,2684,2534,2336,2356,2456,2798,2932,2798,2834,2562,2488,2407,2294,2322,2608,2642,2719,3142,2700,2589,2465,2461,2494,2623,2695,2882,3116,3208,2904,2587,2382,2404,2410,2139,2098,2252,2350,2204,2094,2129,1864,1744,1731,1641,1687,1518,1461,1443,1343,1309,1292,1163,1039,1100,1252,1062,1036,755,800,840,738,636,702,641,574,618,531,525,555,424,475,440,371,349,366,339]
[38,74,64,58,80,90,74,119,192,164,237,261,355,342,537,567,809,927,1290,2102,2813,4370,4204,3487,2617,2251,1902,1807,2028,2274,3049,3607,3513,3243,2921,2540,2477,2404,2323,2641,3111,3409,3433,3139,3000,2649,2415,2477,2614,2830,3353,3734,3365,3194,2845,2944,2723,3136,2559,2886,2656,2956,2937,2788,2632,2669,2636,2557,2595,2897,3019,3245,3020,2742,2739,2579,2598,2321,2643,2849,2995,3076,3018,2958,2754,2580,2321,2461,2459,2503,2644,2865,2572,2589,2977,2570,2692,2652,2919,2989,3436,3355,3101,2747,2519,2463,2442,2340,2409,2601,2721,2397,2238,2223,2041,1939,1899,1716,1801,1613,1561,1421,1471,1353,1323,1226,1206,1110,1121,962,921,1045,922,910,815,825,734,630,653,641,571,544,543,433,400,509,457,379,401,388]
[54,50,38,68,68,86,90,165,218,236,266,259,321,356,424,581,725,1026,1232,1570,2188,4091,4593,4507,3035,2380,2132,1880,1864,2167,2978,3680,3884,3505,3014,2651,2549,2275,2450,2498,2976,3585,3517,3217,2705,2639,2744,2486,2668,2786,3371,3734,3708,3350,3012,2762,2681,2592,2495,2740,3325,2897,3001,2578,2774,2690,2532,2570,2499,2986,3090,3062,3322,2993,2665,2676,2541,2480,2481,2830,2865,3084,2944,2577,2706,2614,2418,2434,2461,2606,2840,2763,2658,2718,2585,2516,2490,2649,3315,3037,3369,3356,2962,2769,2670,2417,2351,2445,2537,2533,2648,2483,2515,2111,2110,1955,1865,1672,1752,1614,1573,1506,1404,1330,1287,1303,1149,1122,1057,1041,909,842,753,873,709,810,731,699,546,651,580,540,583,488,421,495,412,387,350,391]
[40,58,54,40,62,98,170,88,164,244,182,316,344,414,499,528,680,865,1225,1472,1886,2890,3490,3108,2669,2174,2241,1713,1927,2037,2582,3040,3355,3098,2877,2450,2216,2165,2274,2625,2850,3240,3160,2923,2716,2439,2352,2554,2564,2816,3095,3341,3258,2999,2847,2692,2555,2535,2516,2534,2664,2912,2748,3331,2555,2752,2457,2503,2569,2752,2836,2999,2905,2867,2696,2496,2408,2599,2508,2712,2770,2848,2903,2642,2629,2459,2506,2496,2422,2572,2706,2756,2626,2679,2438,2436,2559,2707,2645,2830,3651,2941,3073,2688,2380,2479,2581,2348,2375,2452,2452,2418,2220,2110,2064,1823,1886,1742,1708,1626,1588,1392,1401,1306,1149,1257,1284,1104,1065,1012,884,914,888,839,815,698,669,667,776,647,609,572,448,445,523,379,415,408,327,339]
[34,44,56,84,72,94,90,212,151,190,191,308,360,369,454,581,669,814,988,1146,1439,1886,2274,2276,2076,1910,1775,1639,1774,2281,2286,2595,2672,2775,2512,2318,2150,2107,2193,2536,2625,2794,2752,2730,2466,2421,2312,2305,2481,2657,2881,2814,2880,2885,2656,2562,2486,2350,2395,2547,2580,2727,2764,2669,2537,2495,3137,2438,2521,2738,2638,2563,2674,2633,2530,2360,2471,2487,2425,2565,2571,2654,2631,2715,2510,2352,2432,2471,2386,2465,2423,2570,2452,2645,2493,2453,2304,2622,2550,2711,2700,2767,2646,2953,2468,2442,2298,2145,2259,2168,2237,2247,2273,2156,1863,1804,1724,1784,1708,1685,1555,1570,1438,1344,1233,1273,1173,1163,936,949,977,958,962,792,745,633,636,569,576,569,711,653,562,472,393,378,474,358,397,332]
[48,54,56,66,54,92,94,145,145,169,255,272,354,371,480,615,751,790,896,991,1214,1589,1787,1806,1640,1559,1496,1641,1825,1766,1972,2645,2368,2302,2253,2255,1965,2038,2123,2132,2338,2459,2563,2516,2446,2210,2259,2480,2261,2358,2468,2687,2557,2673,2516,2431,2317,2360,2455,2354,2507,2501,2519,2537,2509,2396,2381,2332,2353,2927,2493,2577,2749,2481,2310,2436,2385,2282,2341,2457,2536,2458,2536,2647,2385,2491,2273,2304,2347,2367,2405,2409,2436,2409,2524,2095,2432,2374,2350,2545,2464,2519,2605,2472,2362,2286,2722,2167,2260,2116,2145,2103,2072,2093,1895,1701,1829,1624,1717,1566,1603,1408,1296,1323,1282,1329,1192,1123,1057,985,903,842,868,752,746,763,650,710,668,633,517,532,501,552,349,414,427,465,383,355]
[54,68,64,36,66,82,100,100,136,231,204,256,258,397,437,527,734,814,893,1102,1163,1285,1509,1487,1453,1370,1414,1543,1811,1810,2046,2130,2007,1992,1888,2122,1906,1979,2051,2254,2369,2260,2355,2159,2246,2233,2214,2314,2235,2340,2458,2488,2475,2445,2424,2292,2201,2257,2311,2334,2351,2430,2424,2533,2202,2373,2282,2342,2338,2540,2220,2266,2760,2343,2429,2244,2275,2283,2216,2410,2438,2350,2366,2452,2284,2209,2342,2234,2336,2328,2317,2434,2426,2340,2304,2331,2304,2128,2333,2293,2398,2485,2504,2374,2341,2378,2195,2092,2008,2591,2173,2039,2008,2001,1926,1856,1736,1668,1645,1518,1381,1613,1431,1338,1310,1195,1021,991,1017,984,989,852,840,778,812,840,610,584,669,583,511,530,494,482,403,495,399,421,304,337]
[58,78,66,54,66,92,100,172,214,246,214,244,331,420,445,648,755,820,817,882,1159,1318,1467,1412,1304,1218,1523,1621,1803,1816,1901,2044,2029,1944,1889,1894,1916,2183,1960,2068,2149,2346,2313,2285,2171,2172,2209,2307,2112,2403,2437,2567,2468,2484,2184,2218,2299,2170,2276,2398,2380,2559,2384,2488,2406,2292,2312,2178,2256,2431,2375,2501,2267,2356,2241,2817,2388,2207,2257,2319,2410,2443,2371,2455,2311,2311,2280,2087,2429,2345,2307,2427,2385,2376,2353,2319,2325,2356,2479,2486,2598,2722,2486,2502,2363,2417,2282,2226,2212,2054,2091,2187,2296,2077,1930,1838,1745,1641,1689,1566,1518,1433,1430,1290,1354,1192,1014,1056,885,916,958,901,806,758,667,640,581,582,625,508,542,596,473,435,477,428,406,365,354,355]
[42,66,60,94,82,64,167,160,135,215,279,306,401,402,398,568,715,782,922,1113,1293,1537,1516,1489,1381,1248,1230,1434,1567,1837,1906,2115,2087,1977,1848,1927,1879,1895,1896,2134,2196,2757,2401,2240,1996,2177,2089,2075,2211,2512,2487,2512,2455,2511,2312,2306,2291,2120,2357,2461,2571,2488,2492,2427,2271,2281,2238,2266,2231,2293,2475,2539,2531,2333,2205,2208,2164,2247,2588,2246,2643,2496,2430,2310,2482,2244,2162,2331,2311,2320,2416,2523,2311,2395,2222,2158,2285,2354,2422,2549,2762,2607,2586,2612,2339,2289,2292,2162,2286,2088,2225,2160,2128,2045,1927,2206,1736,1703,1683,1531,1418,1486,1184,1306,1199,1157,1036,1039,938,878,854,825,733,830,644,718,553,509,610,473,556,467,527,403,390,385,408,424,375,339]
[54,80,50,56,68,82,90,225,155,239,273,302,358,409,527,525,709,855,986,1260,1496,1755,1917,1614,1562,1314,1319,1367,1701,1916,2212,2194,2167,2114,1972,1848,1815,1873,2041,2050,2413,2428,2256,2415,2681,2126,2091,2219,2427,2554,2674,2752,2694,2622,2312,2259,2164,2009,2356,2612,2619,2703,2704,2673,2215,2258,2179,2065,2147,2264,2468,2360,2352,2360,2211,2206,2251,2344,2349,2321,2554,2898,2460,2281,2290,2192,2199,2207,2327,2478,2571,2666,2666,2513,2322,2226,2322,2528,2758,2760,2829,2816,2902,2789,2516,2385,2165,2100,2173,2258,2168,2288,2076,2025,2018,1838,1862,1656,1503,1777,1463,1372,1314,1266,1229,1089,1073,1073,987,907,896,748,774,668,670,703,602,566,620,569,489,494,536,399,435,344,413,332,341,335]
[60,44,74,62,80,86,136,215,201,155,297,233,350,336,467,554,756,926,1253,1511,2036,2322,2528,2190,1780,1661,1430,1590,1766,2116,2467,2510,2504,2317,2054,1895,1974,1993,2153,2155,2680,2898,2695,2637,2523,2225,2120,2711,2481,2664,3088,3100,3062,2525,2472,2300,2240,2308,2406,2589,3122,2968,2750,2783,2497,2303,2151,2338,2459,2367,2475,2709,2466,2475,2377,2296,2345,2400,2468,2592,2662,2687,2660,2534,2901,2339,2199,2387,2558,2752,2831,2783,2636,2396,2391,2294,2493,2648,2993,3203,3573,3211,3108,2857,2691,2487,2325,2353,2363,2346,2476,2363,2217,1957,1910,1817,1684,1587,1605,1533,1537,1637,1294,1245,1179,1149,1023,947,1066,871,874,896,815,755,711,695,670,577,544,590,455,484,479,483,421,411,371,344,408,378]
[42,68,44,54,72,66,92,92,107,168,200,243,390,374,568,577,751,933,1252,1558,2180,3235,3417,2989,2392,1985,1830,1573,1893,2179,2462,2905,3052,2552,2334,2145,1956,2111,2255,2409,2932,3186,3373,2915,2643,2512,2403,2468,2395,2673,3895,3585,3474,2991,2712,2373,2465,2400,2656,2800,3387,3251,3127,3010,2895,2541,2391,2321,2398,2689,2552,2773,2543,2479,2447,2214,2280,2282,2366,2711,3146,2813,2978,2540,2420,2333,2292,2946,2528,2888,3237,3090,2907,2690,2446,2170,2450,2643,2864,3527,3986,3789,3375,3161,2726,2485,2450,2211,2374,2529,2723,2308,2212,2161,1903,1969,1762,1806,1605,1581,1495,1403,1400,1275,1373,1051,1096,953,872,861,807,855,722,701,704,594,637,613,570,466,416,447,463,454,337,344,381,311,347,336]
[26,76,64,74,72,90,209,161,204,231,201,299,349,435,467,632,696,929,1183,1410,2153,3218,3322,2949,2375,1949,1776,1552,1724,1992,2333,2897,3010,2675,2357,2188,2169,1995,2209,2390,2686,3213,3281,2951,2622,2593,2317,2258,2384,2555,3199,3625,4211,2922,2757,2330,2238,2478,2664,2692,3185,3623,3363,2889,2829,2566,2391,2352,2304,2495,2681,2669,2603,2485,2241,2406,2423,2307,2421,2762,2902,3160,2890,2551,2398,2311,2230,2343,2600,2716,3675,3104,2732,2539,2366,2371,2350,2530,2900,3566,4184,4155,3393,3115,2726,2432,2316,2343,2421,2458,2653,2537,2361,2065,2027,1926,1778,1656,1817,1614,1577,1480,1399,1309,1132,1047,1102,1237,1015,858,762,772,724,656,770,635,624,638,478,494,499,471,463,371,486,447,338,369,254,301]
[62,54,44,82,38,92,124,187,163,213,260,278,318,349,512,593,687,858,1236,1237,1738,2371,2760,2460,2019,1764,1554,1566,1641,1978,2274,2360,2442,2349,2087,2067,1839,1883,2069,2082,2567,2807,2704,2722,2445,2215,2213,2187,2282,2545,2794,3104,3016,2953,2624,2847,2183,2345,2510,2622,2997,3199,3090,2725,2625,2367,2387,2233,2217,2369,2335,2432,2442,2478,2266,2209,2224,2279,2334,2710,2674,2804,2673,2555,2298,2228,2183,2278,2538,2765,2795,2815,2637,2981,2297,2220,2286,2552,2688,3153,3456,3282,3194,2728,2549,2376,2251,2373,2250,2325,2607,2549,2325,2125,1947,1976,1852,1769,1746,1542,1546,1442,1295,1392,1116,1083,1086,1009,1029,860,998,735,799,649,671,767,615,571,567,539,439,470,433,434,429,414,344,284,330,281]
[42,64,68,68,54,80,141,175,186,212,301,288,284,359,474,547,790,828,881,1043,1460,2024,1909,1895,1693,1277,1443,1447,1687,1673,1973,1871,1954,2001,1991,1816,2019,1867,2055,2221,2311,2461,2424,2508,2300,1992,1961,2129,2180,2226,2395,2441,2575,2459,2242,2167,2049,2129,2545,2408,2567,2635,2592,2364,2189,2350,2168,2268,2159,2319,2264,2277,2303,2213,2220,2177,2265,2298,2335,2318,2487,2400,2496,2420,2309,2109,2156,2261,2089,2259,2465,2565,2404,2392,2065,2141,2661,2197,2457,2688,2814,2703,2737,2665,2426,2278,2224,2076,2267,2366,2348,2284,2169,2168,1994,1962,1805,1785,1693,1399,1409,1531,1347,1251,1233,1079,1112,996,843,757,862,826,669,820,674,677,567,585,547,493,490,514,457,322,387,388,297,349,267,293]
[60,66,72,60,74,96,96,179,183,312,227,297,296,485,549,654,775,845,961,1160,1344,1964,1457,1560,1461,1481,1487,1757,1536,1968,2085,1989,1867,1931,1795,1856,1786,1940,1957,2067,2036,2218,2143,2036,1992,1942,1855,2042,2137,2244,2147,2292,2115,2155,1989,1986,2121,1832,2155,2751,2178,2220,2252,2094,2242,2115,2139,2048,2143,2167,2189,2136,2196,2117,2148,2077,2099,2194,2155,2250,2266,2321,2199,2095,1958,2023,2026,1985,2222,2165,2239,2121,2146,2024,2011,2061,2579,2303,2255,2444,2534,2491,2349,2269,2157,2167,2189,2008,2178,2008,2131,2156,1850,1933,1774,1755,1617,1488,1514,1464,1353,1189,1244,1156,1026,1052,1005,965,887,707,733,723,662,727,594,665,521,481,414,400,343,403,439,336,323,351,306,286,272,315]
[64,62,46,60,60,66,90,219,173,256,234,296,300,376,471,569,681,755,807,825,995,1245,1281,1483,1335,1704,1383,1445,1524,1752,1728,1928,1757,1734,1763,1597,1653,1680,1771,1794,1836,2069,2037,1965,1798,1920,1941,1786,1872,2045,2070,2006,1931,1973,1917,1829,1988,2072,1940,1865,2079,2041,2485,2049,1973,1891,2034,1918,2102,1954,2149,2092,2186,2127,2063,2045,1980,2013,1950,2051,2161,2225,2106,2024,2096,2084,1866,1910,1868,2044,2167,2143,2229,2159,2040,2051,2010,2017,2016,2707,2330,2428,2287,2173,2228,2076,1984,1903,2040,2136,2310,2266,2150,1929,1938,1812,1636,1594,1643,1533,1408,1359,1218,1225,1245,1131,989,1026,895,823,850,784,637,670,632,602,633,600,520,514,386,466,356,349,339,356,357,244,306,281]
[58,76,42,64,72,80,70,98,159,234,192,304,227,403,479,605,668,732,812,992,1047,1238,1388,1380,1322,1239,1253,1656,1550,1639,1797,1802,1796,1649,1713,1618,1603,1758,1670,1834,1905,2043,1950,1823,1786,1629,1681,1762,1769,1789,1930,1848,1865,1912,1862,1851,1830,1798,1890,1875,1985,2034,2097,2011,1995,2309,1853,1771,1896,2048,2107,1950,1983,2020,1977,1880,2091,2018,2043,2016,2079,2228,2036,2112,1976,1941,1789,1747,1914,1976,2133,2080,2145,1884,2010,1956,1959,2008,1972,2055,2157,2245,2637,2141,2013,1927,2057,1864,2106,2360,2213,2316,2134,2001,1695,1746,1687,1655,1509,1478,1382,1265,1323,1121,1162,991,919,948,849,789,819,813,722,657,693,666,470,490,553,549,410,490,385,302,417,333,282,368,308,270]
[48,48,68,62,84,96,210,84,139,239,228,260,294,349,416,565,600,692,964,1096,1285,1485,1562,1641,1372,1152,1181,1333,1422,1610,2074,1918,1890,1955,1683,1609,1585,1584,1684,1790,1848,1949,1967,1931,1791,1675,1731,1702,1756,1812,1766,1907,1705,1890,1717,1735,1736,1598,1805,1861,2015,2044,1871,1908,1806,1837,1768,1992,1951,1992,2151,2076,2143,1886,1904,1812,1936,1855,1954,2190,2005,2139,2078,2007,1975,1840,1779,1777,1910,1953,2125,2134,2000,2034,1881,1933,1810,1844,2012,2119,2205,2236,2238,2067,1928,2328,1949,2009,1967,2224,2422,2273,2234,2036,1851,1745,1693,1473,1421,1378,1301,1270,1197,1220,1146,1044,910,860,859,777,762,629,731,679,724,610,593,472,487,513,413,509,454,374,372,376,262,237,338,287]
[38,78,80,46,62,189,94,135,159,250,254,285,282,388,409,518,702,706,1079,1267,1556,1773,1906,1756,1646,1441,1256,1405,1590,1621,2033,1962,1965,2264,1858,1664,1523,1583,1741,1839,2041,2113,1993,1920,1955,1660,1785,1704,1714,1762,1831,1949,1805,1768,1719,1702,1705,1769,1878,1933,2202,2120,2125,2084,2036,1813,1826,1828,1889,2083,2803,2360,2275,2182,2014,1961,2037,2010,2068,2069,2418,2553,2279,2313,2055,1960,1930,1893,1956,2084,2154,2185,2204,1935,1936,1830,1783,1988,2009,2266,2305,2499,2171,2175,1982,1947,2071,2095,2866,2395,2622,2535,2571,2237,2034,1854,1742,1560,1500,1392,1265,1244,1171,1123,1072,1009,972,866,799,789,768,774,575,646,599,566,512,579,522,378,381,405,325,347,316,374,362,301,280,228]
[48,70,56,78,66,74,72,124,132,137,243,327,276,369,369,564,597,1066,1190,1558,2169,2785,2901,2577,2252,1948,1565,1600,1584,1747,2181,2437,2436,2425,2135,1948,2115,1715,1796,1984,2044,2335,2428,2219,2023,1769,1647,1636,1646,1770,1830,1877,1733,1862,1805,1833,1661,1766,1922,2139,2237,2211,2234,2305,2253,1853,1743,1790,1899,2280,2424,2498,2312,2903,2024,2005,1999,2085,2295,2364,2622,2454,2465,2237,2282,2109,1834,1890,1979,2225,2247,2294,2192,2052,1939,1747,1919,2079,2213,2386,2627,2628,2536,2314,2217,2027,2040,2099,2466,2808,3153,3784,2638,2445,2187,1916,1693,1547,1515,1411,1312,1200,1215,1115,1008,1052,906,781,823,777,766,652,624,598,505,559,487,505,516,512,402,408,366,445,363,331,332,200,289,227]
[38,72,74,34,60,80,127,94,211,189,241,355,297,382,473,571,696,916,1183,1621,2884,3867,3624,3088,2688,2198,1857,1681,1667,2009,2521,3097,3180,2689,2485,2036,1980,1705,1849,2299,2313,2673,2451,2313,2033,1824,1676,1694,1773,1720,1773,1897,1912,1779,1751,1756,1657,1792,1889,2218,2391,2495,2479,2317,2117,1929,1772,1757,2066,2336,2602,2649,2562,2372,2146,2052,1820,2496,2288,2539,2923,2936,2716,2210,2248,2060,1944,1878,1912,2066,2209,2226,2285,2042,2008,1869,1995,2110,2463,2704,2970,2807,2498,2260,2162,1979,2012,2231,2554,3073,3811,3648,2919,2365,2586,1830,1749,1445,1448,1253,1220,1208,1143,1109,949,957,840,855,881,691,713,597,647,646,586,556,459,417,459,386,358,442,402,357,306,281,338,301,257,267]
[28,66,58,82,74,94,88,96,126,235,184,289,303,383,424,593,693,897,1204,1592,2508,3694,3906,3290,2804,2213,1892,1662,1661,1806,2370,2916,3152,2937,2614,2092,1855,1843,1803,1923,2246,2391,3119,2364,2078,1934,1885,1833,1839,1851,1945,1859,1941,1746,1700,1814,1877,1694,1962,2104,2265,2491,2501,2205,2142,1961,1821,1854,1998,2342,2717,2776,2640,2337,2093,2009,1909,2102,2232,2998,3003,2907,2563,2337,2185,1955,1781,1989,2099,2051,2241,2232,2193,2095,2042,1910,1897,2119,2328,2733,2768,2896,2540,2373,2167,2122,2015,2055,2688,3031,3856,3310,3036,2477,2132,1955,1722,1761,1407,1333,1305,1202,1096,1047,946,939,978,790,726,729,673,618,603,614,573,524,521,458,388,394,396,415,335,412,346,295,350,323,266,269]
[46,56,52,94,84,66,68,100,138,226,194,295,322,348,412,527,661,773,942,1255,1696,2368,2947,2754,2583,1988,1763,1474,1539,1877,2002,2500,2513,2577,2290,2112,1708,1666,1807,2010,2042,2201,2283,2040,2065,2299,1825,1820,1789,1732,1827,1834,1836,1717,1736,1706,1756,1689,1923,2029,2058,2140,2289,2129,1949,1723,1742,1737,1854,2150,2222,2389,2375,2263,1962,1794,1900,1958,1966,2129,2214,2378,2909,2229,2116,1980,1854,1958,1905,2023,2219,2235,2265,1944,1944,1852,1870,1989,2167,2451,2558,2619,2484,2251,2006,1990,1959,2025,2276,2719,3017,2898,2560,2207,1991,1769,1731,1397,1406,1263,1525,1151,1103,1113,898,887,888,770,793,844,643,572,582,623,441,467,506,421,361,341,410,441,346,354,287,294,287,228,227,232]
[30,36,54,68,90,90,175,197,188,191,183,337,268,343,473,521,641,677,810,1132,1536,1787,1990,2079,1937,1636,1612,1445,1510,1797,1858,2024,2103,2178,1795,1658,1770,1682,1587,1784,1958,1982,1930,1856,1806,1853,1637,1607,1920,1614,1817,1651,1687,1701,1577,1596,1554,1634,1695,1909,1790,2037,2041,1808,1797,1746,1733,1849,1862,1915,1967,2015,2084,1980,1831,1721,1743,1802,1853,2140,1998,2251,2094,1992,1862,2238,1856,1833,1841,1951,1871,1936,1927,1873,1697,1711,1750,1753,1970,2024,2183,2093,2147,2027,1933,1790,1767,1818,2181,2301,2398,2434,2328,2110,1908,1726,1606,1449,1481,1470,1269,1184,1343,1041,993,886,807,783,775,749,631,692,575,602,481,568,509,429,455,368,405,391,334,268,239,301,208,277,240,235]
[62,74,62,48,84,100,82,141,192,160,182,216,295,323,472,514,652,854,734,999,1052,1427,1666,1605,1466,1392,1359,1416,1474,1520,1725,1849,1792,1780,1615,1554,1585,1628,1657,1536,1589,1584,1667,1693,1640,1657,1624,1411,1572,1496,1519,1808,1619,1626,1453,1480,1501,1613,1531,1627,1648,1615,1615,1638,1502,1577,1526,1559,1534,1663,1817,1928,1780,1727,1754,1627,1545,1663,1741,1842,1764,1832,1858,1845,1724,1590,1615,1643,2121,1827,1750,1848,1725,1768,1774,1692,1676,1605,1722,1746,1971,1916,1879,1962,1747,1763,1787,1825,1909,2010,2095,2121,1981,1868,1780,1605,1425,1412,1311,1266,1227,1169,1095,878,949,774,966,739,750,699,588,566,526,540,567,405,506,381,446,393,308,298,368,257,317,310,201,289,209,175]
[48,52,58,76,82,72,90,166,176,247,233,178,279,301,424,450,647,809,833,932,1137,1220,1387,1336,1201,1234,1423,1409,1470,1527,1616,1675,1733,1554,1419,1543,1349,1604,1480,1613,1551,1542,1463,1548,1556,1490,1440,1520,1443,1605,1646,1452,1467,1532,1756,1382,1514,1396,1460,1533,1569,1546,1629,1538,1448,1372,1386,1476,1537,1563,1595,1597,1606,1618,1538,1564,1512,1558,1500,1765,1776,1779,1585,1776,1569,1586,1708,1581,1498,1774,1773,2081,1644,1638,1518,1722,1546,1502,1625,1804,1977,1879,1754,1712,1713,1738,1626,1718,1687,1981,1987,1997,1804,1833,1676,1572,1483,1334,1239,1155,1145,1196,1033,969,927,814,701,677,737,773,605,547,493,570,491,430,442,412,373,405,350,298,344,350,263,230,232,233,265,146]
[50,42,56,42,72,58,90,88,182,158,188,306,317,394,493,476,619,746,813,876,1281,1244,1334,1345,1191,1135,1141,1267,1298,1420,1569,1717,1509,1613,1391,1351,1434,1423,1475,1427,1510,1492,1521,1431,1278,1439,1444,1366,1296,1380,1374,1439,1334,1421,1298,1344,1389,1548,1265,1517,1442,1453,1608,1495,1532,1379,1391,1287,1330,1449,1486,1434,1563,1521,1466,1336,1483,1463,1508,1683,1682,1710,1860,1631,1563,1533,1543,1444,1638,1381,1623,1820,1737,1691,1876,1610,1669,1541,1631,1754,1687,1769,1709,1748,1651,1756,1625,1667,1757,1871,1780,1916,1711,1696,1595,1517,1450,1342,1253,1152,1014,1030,904,880,842,770,667,811,658,525,539,628,620,529,500,500,351,418,363,348,365,345,337,226,204,269,211,201,222,260]
[54,66,54,70,78,90,82,118,187,192,190,305,276,406,405,471,610,812,910,1154,1336,1511,1608,1668,1304,1218,1094,1172,1340,1554,1726,1758,1797,1527,1498,1370,1314,1359,1282,1392,1440,1450,1415,1398,1471,1275,1330,1273,1275,1399,1325,1261,1242,1389,1425,1289,1270,1272,1378,1343,1662,1515,1338,1361,1344,1273,1261,1375,1347,1319,1360,1385,1369,1409,1487,1511,1398,1462,1595,1642,1722,1836,1802,1713,1575,1621,1450,1516,1565,1616,1781,1671,1634,1600,1492,1487,1401,1836,1588,1747,1855,1816,1796,1653,1748,1687,1630,1727,1900,1997,1978,2136,1973,1749,1482,1521,1274,1295,1222,1122,1066,936,894,884,894,740,652,556,650,561,581,490,512,480,464,453,341,413,327,416,276,279,296,268,185,273,230,275,203,198]
[28,42,42,52,72,70,100,195,104,200,180,203,299,322,354,465,616,838,1034,1373,1569,1659,1883,1838,1593,1409,1514,1262,1444,1821,1928,1947,2005,1816,1553,1352,1393,1259,1292,1546,1632,1537,1509,1504,1547,1405,1387,1299,1266,1300,1457,1348,1416,1363,1271,1210,1248,1351,1214,1298,1383,1340,1285,1555,1250,1142,1231,1185,1308,1313,1411,1264,1313,1379,1343,1294,1408,1443,1614,1923,1991,2116,1982,1861,1806,1513,1454,1418,1553,1719,1719,1974,1783,1704,1492,1442,1552,1620,1630,1839,2627,2080,1933,1948,1661,1615,1748,1966,2022,2184,2523,2540,2378,2167,1744,1606,1548,1284,1199,992,926,857,865,816,778,689,685,636,544,603,481,483,423,518,435,375,365,328,390,383,310,244,241,299,180,236,249,232,162,149]
[46,58,44,68,78,90,86,82,142,133,238,241,277,391,436,513,635,826,1381,1641,2227,2899,2855,2314,2095,1814,1476,1517,1714,2519,2458,2827,2604,2240,1811,1563,1422,1389,1443,1626,1782,1866,1794,1668,1638,1316,1429,1162,1229,1437,1367,1309,1509,1433,1323,1207,1376,1166,1249,1400,1480,1473,1498,1508,1264,1300,1376,1275,1335,1316,1534,1494,1462,1403,1400,1431,1395,1615,1851,2156,2507,2576,2238,2126,1785,1622,1519,1579,1702,1829,2138,2069,2193,1723,1662,1374,1425,1616,1814,2096,2595,2596,2720,2434,1722,1691,1765,2031,2518,2865,3314,3118,2831,2290,1935,1662,1204,1070,1170,989,900,883,822,774,662,677,625,654,516,590,427,402,452,401,404,292,339,287,303,296,225,284,321,218,193,171,210,196,177,111]
[48,64,64,66,28,74,172,96,129,154,219,294,236,341,395,534,736,960,1433,1765,2698,3725,4027,3267,2503,2150,1932,1676,1744,2033,2514,3360,4014,2677,2128,1811,1510,1552,1497,1616,1967,2174,2121,1872,1764,1378,1340,1290,1363,1354,1351,1475,1594,1464,1323,1280,1275,1244,1224,1377,1530,1642,1460,1431,1204,1214,1160,1312,1242,1673,1549,1480,1489,1369,1348,1361,1378,1834,1992,2364,3045,3094,2580,2123,1919,1744,1574,1545,1780,1966,2499,2497,2181,1943,1684,1572,1604,1825,1993,2674,3232,3310,2682,2176,1892,1744,2043,2090,2596,3774,4427,3876,3138,2396,2042,1601,1483,1229,1123,1003,1012,867,781,768,607,763,639,529,520,555,513,414,415,432,336,310,278,342,340,340,303,235,203,208,245,240,210,198,134,173]
[58,46,58,58,88,60,68,90,215,215,199,257,247,342,449,503,677,864,1147,1534,2433,3890,4113,3552,2720,2308,1887,1641,1677,1790,2458,3223,3240,2751,2498,2086,1542,1459,1414,1611,1890,2018,2235,1940,1623,1532,1349,1240,1204,1346,1442,1499,1442,1477,1353,1251,1239,1156,1294,1300,1372,1466,1617,1462,1358,1262,1221,1198,1369,1335,1423,1404,1672,1438,1286,1253,1268,1550,1752,2121,2903,2798,2620,1992,1641,1571,1558,1447,1745,1902,2290,2427,2278,1869,1594,1444,1529,1699,1920,2461,3056,3072,2504,2041,1759,1726,1642,1924,2391,3887,4188,3782,3010,2278,1970,1673,1459,1262,1111,1080,973,875,821,823,697,669,636,518,468,473,469,435,329,395,359,318,320,293,295,272,269,179,226,243,155,193,155,194,191,98]
[36,38,52,50,78,84,80,84,158,213,221,240,261,266,382,456,588,718,927,1217,1806,2699,3237,2801,2563,2066,1742,1520,1586,1783,2171,2476,2576,2423,2177,1686,1426,1380,1664,1661,1543,1718,1813,1606,1447,1396,1340,1310,1333,1329,1325,1376,1266,1314,1197,1152,1168,1155,1096,1391,1383,1307,1461,1287,1281,1152,1225,1230,1250,1374,1234,1449,1304,1272,1219,1410,1198,1406,1746,1933,2297,2019,2065,1745,1412,1445,1271,1389,1630,1641,1964,2107,1850,1768,1501,1436,1418,1726,1760,2145,2464,2453,2235,1809,1554,1556,1739,1810,2341,2666,3116,3017,2829,1929,1649,1551,1234,1193,1085,999,975,872,850,789,666,697,539,530,475,450,435,461,380,359,368,336,300,305,262,305,175,210,144,143,126,158,100,96,92,120]
[46,56,60,64,38,58,76,100,140,206,248,278,327,312,338,475,582,722,797,1073,1429,1854,2108,2132,1914,1750,1404,1425,1545,1524,1726,1922,1951,2024,1878,1606,1487,1459,1427,1510,1668,1453,1498,1454,1278,1268,1066,1159,1198,1256,1228,1277,1357,1264,1237,1117,1105,1221,1134,1223,1225,1379,1211,1334,1153,1202,1151,1056,1153,1120,1133,1203,1241,1188,1133,1226,1265,1259,1532,1573,1685,1725,1575,1574,1291,1274,1287,1330,1311,1546,1503,1680,1604,1453,1334,1433,1387,1550,1520,1664,1937,2066,1958,1668,1498,1691,1630,1550,1976,2135,2349,2348,2140,1832,1547,1756,1191,1204,1151,950,844,823,804,650,595,619,444,452,493,424,471,364,415,322,371,294,265,306,177,218,201,189,177,158,143,156,88,104,94,138]
[56,42,44,56,52,64,76,190,98,177,240,252,236,317,331,431,579,713,758,886,1236,1325,1683,1446,1359,1387,1244,1389,1465,1559,1671,1640,1701,1645,1614,1381,1240,1314,1362,1178,1415,1325,1355,1575,1126,1139,994,1053,1161,1216,1225,1123,1122,1079,1146,1095,1120,1148,1022,1124,1147,1073,1075,1144,1072,1078,996,1008,1045,1143,1109,1133,1173,1065,1041,1151,1087,1095,1083,1185,1328,1638,1348,1313,1190,1120,1187,1238,1185,1333,1531,1493,1471,1400,1252,1287,1347,1343,1434,1543,1678,1787,1807,1588,1383,1496,1481,1568,1531,1789,1859,2019,1837,1644,1382,1322,1268,1223,1281,1013,962,878,782,672,665,576,454,546,369,421,460,337,328,307,263,290,272,243,254,245,259,220,166,201,193,114,111,82,82,98]
[28,48,56,62,60,58,90,94,138,181,131,200,210,361,399,474,537,643,752,863,1042,1147,1324,1370,1100,1159,1287,1313,1362,1375,1641,1594,1669,1577,1423,1301,1318,1097,1196,1288,1265,1257,1194,1198,1111,1053,969,1095,1037,1168,1070,1084,1131,1117,912,873,946,969,953,1014,1064,1000,1016,1058,1078,922,989,971,969,1040,1075,1111,1079,1094,963,981,990,957,1013,1019,1134,1245,1138,1148,1235,1052,1004,1082,1048,1253,1363,1405,1478,1300,1288,1293,1285,1256,1314,1424,1419,1622,1578,1528,1468,1489,1473,1476,1497,1605,1743,1826,1474,1552,1393,1325,1230,1045,1020,916,935,1037,755,777,650,496,557,481,469,373,375,332,328,312,334,281,218,204,213,183,156,173,156,118,217,158,115,90,117,86]
[38,52,56,58,56,42,62,90,157,216,152,282,318,305,342,465,593,624,702,878,1069,1126,1223,1166,958,1020,1087,1269,1429,1422,1662,1660,1517,1508,1450,1151,1141,1049,1121,1131,1115,1098,1062,1034,946,1108,998,813,927,1156,1094,1037,895,931,906,787,739,809,899,840,819,896,837,989,945,846,797,894,830,908,928,920,869,1055,922,885,837,874,842,1099,997,1112,1131,1063,969,955,1064,1189,1088,1204,1340,1424,1288,1350,1240,1214,1109,1193,1175,1365,1562,1514,1551,1523,1254,1420,1322,1228,1405,1493,1553,1633,1507,1483,1258,1121,1101,944,975,981,747,730,695,685,722,540,426,455,408,344,372,261,316,224,290,270,311,242,249,246,153,213,135,92,199,141,100,133,74,70]
[40,54,62,54,64,64,82,186,195,109,221,224,199,262,356,482,488,678,821,1115,1289,1364,1380,1349,1171,1074,1122,1156,1351,1689,2015,1986,2043,1657,1691,1160,1170,1049,1129,1102,1029,1134,1178,979,948,946,834,967,898,960,1089,1100,1160,959,961,878,740,813,845,841,850,883,855,744,770,735,815,797,913,845,820,916,897,856,882,810,836,836,836,967,974,1072,1098,1046,1005,915,982,1035,1157,1331,1963,1653,1660,1489,1194,1164,1086,1204,1363,1515,1722,1728,1757,1722,1511,1307,1198,1240,1241,1420,1526,1722,1675,1537,1253,1217,937,969,796,817,792,690,645,639,635,525,399,473,382,304,378,268,254,210,291,283,222,270,231,235,148,152,183,106,166,90,68,96,64,40]
[28,58,34,62,70,62,84,70,84,96,207,220,257,296,326,393,472,695,1151,1279,1599,1785,1863,1756,1428,1273,1130,1167,1772,2087,2329,2495,2505,2296,1839,1378,1332,996,1079,1103,1218,1208,1187,1135,1059,884,841,857,942,1167,1259,1301,1219,1089,923,893,745,689,777,770,770,806,882,783,724,717,659,762,760,785,854,872,942,790,783,844,682,878,969,1186,1197,1278,1377,1064,970,900,984,1022,1479,1875,2025,2191,1967,2234,1409,1184,1050,1315,1727,1940,2220,2203,2035,1924,1670,1394,1352,1371,1642,1794,2110,1846,1793,1699,1302,1056,873,794,758,747,652,649,572,605,482,520,470,365,299,313,314,248,240,261,220,251,225,158,146,200,228,195,88,182,96,70,88,58,74,52]
[22,50,70,50,54,58,46,78,94,94,84,190,197,227,314,316,452,683,1110,1509,2100,3344,2870,2229,1818,1387,1235,1326,1869,2341,3052,3616,3485,2748,2209,1831,1475,1237,1187,1267,1313,1253,1264,995,920,898,766,798,870,1133,1402,1619,1312,1146,915,734,747,644,839,782,723,860,841,806,737,651,691,728,709,806,808,866,802,831,705,726,702,726,1189,1223,1457,1476,1505,1316,1153,1026,984,1011,1640,2070,2980,3225,2869,2353,1821,1741,1358,1639,1979,2352,2770,3037,2620,2138,1868,1488,1285,1277,1742,2230,2769,2601,2043,1699,1518,1178,894,821,657,696,612,583,560,500,411,486,412,443,368,340,386,285,216,222,220,145,189,212,208,189,98,98,94,78,66,60,50,58,68,62]
[36,24,60,60,28,60,52,70,68,130,131,144,281,239,262,373,444,639,1116,1620,2464,3753,3836,3321,2816,1731,1403,1386,1659,2319,3548,4357,4364,3404,2890,2042,1607,1261,1257,1211,1377,1759,1517,1215,1049,899,811,848,1018,1078,1475,1830,1548,1256,976,861,678,714,634,722,839,1095,865,763,715,639,659,608,699,681,817,974,868,755,687,732,772,791,1120,1365,1909,1951,1712,1435,1156,1033,1017,1173,1750,2537,3764,3781,3301,2486,1897,1432,1331,1570,2099,3363,3868,3660,2905,2225,1887,1448,1299,1318,1887,2719,3602,3168,2482,1679,1302,1002,751,690,649,605,538,450,439,475,404,412,388,272,321,313,328,198,216,177,184,203,179,148,96,98,100,76,88,52,76,40,62,72,58,50]
[24,26,52,58,52,78,62,54,68,94,191,170,128,221,247,369,387,546,793,1224,2075,3152,3604,2871,2330,1732,1407,1593,1325,1958,3262,3828,3860,3311,2724,2147,1415,1177,1025,1062,1211,1334,1422,1172,920,971,847,740,773,988,1272,1539,1291,1176,841,711,557,539,596,645,834,765,712,653,562,706,510,486,534,670,760,639,778,614,552,589,615,718,915,1173,1429,1480,1351,1087,885,775,816,1090,1608,2202,3199,3450,2717,1904,1573,1089,1088,1395,1773,2452,3422,3531,3338,1832,1391,1132,1079,1136,1593,2319,3083,2949,2059,1365,1054,879,668,585,478,533,460,437,455,382,370,291,282,227,261,204,263,172,230,155,131,116,74,100,94,118,68,68,70,66,62,38,46,56,46,36]
[36,60,36,48,56,64,76,74,82,92,94,157,193,167,255,222,336,430,596,860,1295,1835,2155,2128,1708,1391,1146,792,1027,1340,2133,2457,2693,2451,2115,1699,1204,985,866,848,884,1076,1043,956,844,781,664,653,687,906,1112,1109,1008,877,688,624,490,410,515,535,620,559,646,539,589,520,436,581,487,594,579,655,677,607,511,565,513,522,730,747,968,971,963,902,674,612,669,842,1097,1783,2037,2081,1668,1427,1115,822,899,892,1357,1913,2191,2175,1863,1434,1077,1052,888,1027,1373,1594,2045,1828,1397,1116,787,593,539,492,468,386,437,366,340,281,303,278,244,195,214,160,214,205,194,171,96,80,153,152,72,52,66,68,70,56,54,46,38,44,44,34]
[50,46,46,36,38,52,54,62,70,58,66,186,206,204,261,258,334,289,434,593,951,1130,1438,1404,1305,1099,923,684,766,994,1356,1550,1590,1712,1831,1138,975,785,749,690,854,863,821,814,743,715,626,579,655,638,830,944,693,620,544,489,474,502,401,429,529,547,471,551,517,466,420,361,476,485,537,548,459,421,471,526,418,400,513,541,697,728,650,611,575,517,522,546,772,1040,1327,1373,1211,977,739,723,686,719,920,1227,1303,1322,1166,955,753,689,714,675,1038,1181,1300,1171,1038,900,752,546,480,385,446,316,435,350,358,295,333,309,139,231,236,137,139,163,154,143,96,96,94,76,76,54,70,48,64,56,50,60,30,56,48,30]
[26,32,56,40,44,54,56,66,72,88,96,117,152,179,157,271,272,330,363,517,690,809,881,1025,869,711,566,559,707,732,935,1194,1366,1108,999,964,730,845,595,563,593,731,686,572,588,599,467,461,544,559,670,803,674,576,565,458,461,491,412,374,390,493,491,392,347,368,373,406,407,378,478,453,295,411,468,407,395,468,442,355,578,514,529,529,443,444,515,560,620,786,874,1148,794,758,638,479,584,637,631,745,815,1026,909,748,693,512,502,589,604,758,886,940,881,604,525,440,413,420,383,395,360,242,315,295,215,174,209,187,188,100,207,86,78,90,86,58,64,70,62,56,62,36,70,38,38,26,46,30,30,34]
[46,32,40,40,72,58,62,76,74,54,84,98,94,178,200,184,295,358,339,416,501,550,626,580,539,598,485,529,573,682,639,880,776,610,721,592,544,544,494,541,683,582,521,453,408,457,459,441,410,491,519,599,569,452,419,456,395,409,316,326,390,436,407,381,357,324,368,272,282,398,338,297,397,297,397,350,413,373,413,440,354,427,520,384,420,401,428,487,555,611,631,641,624,559,520,498,557,532,547,564,636,599,616,576,508,464,483,531,486,658,558,555,495,524,474,286,315,241,361,270,251,299,218,214,276,129,200,142,98,88,186,84,70,66,64,46,76,64,34,46,40,54,38,42,34,32,40,42,34,42]
[30,26,44,30,52,36,64,48,76,64,90,80,98,203,188,201,251,287,304,365,384,419,354,411,479,416,445,460,545,477,586,471,586,586,493,477,420,436,433,515,478,491,430,501,392,440,413,400,481,493,421,403,454,365,304,414,406,342,304,371,362,369,347,348,322,310,301,354,265,377,330,344,326,337,323,297,336,363,407,333,497,314,367,361,411,328,375,349,448,453,510,508,389,474,489,410,348,438,441,383,408,515,545,532,464,439,436,457,430,483,383,429,360,425,364,348,262,365,263,252,224,181,215,162,219,169,189,92,88,72,68,58,66,74,60,66,42,58,44,52,64,34,44,44,42,26,16,38,40,22]
[32,52,66,38,30,56,50,38,64,62,54,74,92,163,157,228,222,225,269,243,309,269,263,314,317,352,335,422,476,518,482,447,415,459,464,378,439,471,378,341,398,404,351,379,289,370,340,303,369,377,348,277,402,299,317,330,337,289,316,334,295,313,369,233,266,230,246,248,309,321,351,315,298,297,244,301,238,326,221,285,288,333,327,317,340,333,324,376,242,372,383,396,375,405,391,270,330,329,349,400,423,326,390,356,354,300,297,316,353,312,406,296,387,266,341,304,267,305,236,259,264,241,153,235,182,154,98,90,74,74,66,76,54,72,68,56,60,46,32,38,28,52,46,28,48,46,22,46,20,38]
[42,22,38,42,46,26,70,60,54,68,58,88,80,86,189,187,134,198,157,206,207,266,334,313,286,345,358,321,373,364,390,303,399,393,339,333,376,395,343,293,343,352,352,351,349,277,304,268,382,329,339,330,291,348,294,299,281,295,225,281,244,275,313,328,280,275,307,290,203,278,277,194,265,279,253,285,180,250,287,295,301,247,341,292,314,340,355,284,234,275,321,265,289,250,255,330,282,297,305,248,379,305,323,285,265,340,325,282,277,328,298,290,250,252,308,241,265,221,151,278,194,194,218,166,96,141,82,92,76,80,52,40,50,44,40,52,50,42,42,50,38,36,38,32,24,32,28,40,20,30]
[34,50,60,20,32,34,62,62,46,66,60,86,66,80,168,166,107,154,187,187,210,175,276,222,219,232,259,327,338,302,267,331,263,227,294,291,314,260,288,259,232,262,278,296,330,301,276,291,283,194,258,324,361,234,225,264,264,244,310,230,233,256,265,226,212,186,228,273,226,302,282,187,272,168,275,182,235,293,251,227,209,274,188,259,316,206,238,277,234,362,238,266,319,235,258,307,292,339,326,272,328,284,277,202,302,295,307,299,226,217,292,231,211,234,247,210,249,165,215,259,232,158,152,177,98,74,88,80,84,84,58,54,48,50,52,30,46,46,28,30,38,34,28,32,38,24,34,36,12,38]
[18,36,28,42,30,30,48,38,64,62,44,52,60,82,166,108,84,176,139,98,187,235,157,248,222,228,245,258,243,232,244,269,292,255,236,185,181,284,220,267,217,184,204,188,273,271,253,158,199,284,235,212,256,226,167,197,285,167,156,238,186,206,193,243,156,234,233,274,181,244,179,222,198,239,194,160,254,170,199,225,171,250,230,252,210,206,208,165,142,287,263,230,278,182,187,190,252,236,184,269,210,211,280,248,234,250,267,240,274,272,195,207,217,264,190,142,191,98,111,207,168,129,88,74,86,84,90,62,54,80,36,44,64,32,40,34,42,42,52,36,30,58,32,30,40,26,34,22,20,32]
[20,24,28,54,32,42,48,36,42,42,50,58,68,74,62,64,74,100,78,205,88,203,230,184,209,191,238,249,215,256,183,205,232,228,228,186,241,211,247,202,246,196,228,231,192,174,211,248,243,212,162,200,196,216,176,190,245,221,218,133,272,249,156,192,143,150,215,174,144,221,219,157,140,207,207,180,98,160,192,245,158,208,263,233,197,186,147,262,182,218,215,290,174,276,216,272,212,236,223,263,205,265,199,264,184,263,237,248,241,249,156,222,154,153,142,199,190,131,128,137,66,80,80,74,86,66,58,52,72,58,62,48,52,68,36,22,30,40,16,26,48,22,44,34,28,14,38,16,34,36]
[26,32,32,38,36,28,52,50,52,66,46,38,68,56,70,54,84,74,132,92,146,183,192,194,155,152,189,177,210,204,278,132,226,157,167,193,250,162,161,184,215,218,210,150,223,239,230,235,170,239,202,203,217,259,186,204,151,185,212,172,160,165,134,203,153,208,149,191,193,136,150,187,158,203,169,183,155,217,178,170,166,204,219,166,134,148,238,144,189,141,218,180,172,255,270,177,201,209,222,280,249,208,243,247,211,137,213,195,183,199,242,167,152,206,98,86,96,141,205,72,98,60,58,202,84,72,56,78,54,64,54,48,46,36,38,36,50,24,32,18,34,40,20,40,44,24,24,22,22,34]
[40,46,34,12,24,40,26,28,44,44,62,52,50,66,68,78,74,64,82,76,107,78,150,98,178,170,168,154,179,197,148,180,187,147,138,148,175,184,188,153,159,199,174,219,157,197,175,187,137,194,209,195,167,203,229,226,180,206,212,231,157,180,145,123,188,168,180,181,192,74,157,117,100,162,190,206,154,187,196,198,178,136,173,201,206,150,204,180,98,187,214,231,204,205,204,220,157,222,155,154,175,243,225,244,168,163,96,188,100,187,230,178,98,170,98,98,141,147,216,82,72,62,76,70,58,64,56,68,42,54,62,40,52,40,50,44,28,28,26,34,30,22,20,28,30,26,32,28,32,32]
[20,30,24,34,38,46,34,58,48,24,56,48,46,56,48,46,58,52,76,36,82,92,163,214,173,119,172,130,162,215,153,190,187,154,225,176,123,215,154,217,166,199,200,96,199,133,90,88,172,189,127,107,237,199,182,202,185,167,154,189,235,148,196,96,126,159,187,204,94,90,96,191,84,92,139,165,98,180,206,226,96,190,187,86,191,231,96,127,192,185,197,165,112,159,98,148,207,168,158,144,128,96,190,172,215,181,173,156,184,96,86,194,78,70,86,185,78,74,80,133,56,72,74,64,70,76,64,38,38,48,54,34,58,34,30,40,30,26,26,36,22,20,14,28,44,24,24,36,20,22]
[24,36,30,32,38,30,44,50,38,28,12,52,42,40,44,34,64,98,74,66,60,86,64,96,84,88,84,132,198,115,88,92,133,100,86,90,100,127,90,202,120,169,139,88,98,136,139,100,142,90,150,151,100,179,169,100,153,98,92,90,165,96,84,98,86,155,134,98,98,197,121,100,84,94,94,164,90,98,96,94,82,70,90,100,78,74,86,84,96,140,138,190,98,92,84,139,169,98,92,114,92,185,98,78,82,168,90,181,98,80,84,100,90,94,74,76,86,82,52,62,60,70,38,60,64,56,66,62,42,46,30,36,50,46,26,32,32,32,40,18,20,26,28,32,36,30,14,32,32,30]
[24,28,44,24,40,46,46,42,48,52,50,46,34,62,48,44,62,66,58,46,78,80,56,74,78,82,68,82,123,80,78,84,68,72,88,165,113,90,84,199,170,137,72,100,78,60,90,113,86,94,122,76,78,82,86,118,197,84,178,189,82,88,80,74,86,94,68,84,94,92,60,72,171,76,84,88,86,82,110,94,88,82,72,98,88,86,82,170,94,160,192,94,86,94,152,98,94,92,90,82,151,80,76,176,168,178,70,92,88,180,80,86,76,84,52,74,70,72,40,72,60,54,62,70,56,24,42,40,38,30,44,28,40,44,38,36,32,44,14,36,30,28,22,24,24,24,12,22,32,22]
[18,26,40,34,36,44,36,44,34,50,40,54,20,36,58,56,64,38,66,74,54,34,56,92,60,68,76,56,94,90,76,72,74,60,94,70,84,80,148,58,58,84,78,64,72,96,84,98,82,126,88,76,74,96,90,86,131,86,62,84,119,84,64,64,70,72,76,82,94,78,98,76,66,68,96,92,76,100,88,82,90,66,62,50,86,74,80,86,84,74,82,76,88,92,90,70,86,72,80,184,72,64,84,78,88,86,80,78,68,94,58,68,94,66,54,60,70,38,54,60,44,72,44,50,46,48,24,32,50,44,36,40,52,38,32,40,44,28,20,22,38,20,16,14,26,26,14,30,20,18]
[32,22,38,40,38,28,24,36,52,42,38,42,32,38,26,50,40,58,46,46,48,48,68,80,48,60,52,58,68,68,60,66,86,68,76,64,80,56,96,70,78,84,62,60,100,86,84,70,88,64,96,128,72,68,80,82,60,76,70,72,70,82,88,62,60,82,92,74,94,92,86,48,50,100,96,84,62,68,78,70,56,64,86,66,80,191,46,66,82,88,76,60,80,82,96,78,98,84,70,90,94,62,84,62,54,96,80,58,80,60,68,68,64,60,56,58,60,46,66,52,50,56,46,52,54,56,44,24,28,22,44,32,36,42,32,24,32,38,54,26,26,32,34,26,22,24,26,48,26,22]
[34,30,34,30,26,32,36,8,46,50,42,56,34,58,44,42,56,56,38,58,44,40,60,50,56,48,66,44,64,58,66,76,56,74,62,62,60,80,66,70,68,54,78,68,109,90,191,66,84,88,62,64,88,94,74,54,60,78,72,70,72,76,68,82,58,56,54,86,82,76,80,74,70,86,76,56,78,80,76,46,66,198,70,72,54,76,68,74,82,60,90,74,70,90,80,68,70,92,54,60,74,82,88,64,56,82,50,48,76,46,78,62,68,48,72,52,34,42,44,42,38,20,52,42,46,50,56,44,32,38,20,30,28,36,36,46,32,22,24,36,22,34,22,22,20,14,26,20,36,34]
[36,28,38,18,12,34,22,30,18,56,30,36,50,38,48,48,34,30,62,60,64,64,52,44,72,48,46,68,26,64,62,58,76,56,40,62,74,88,62,84,70,84,86,70,76,74,80,50,46,62,90,94,66,56,54,70,72,58,58,74,80,68,84,76,76,64,76,62,68,64,76,82,74,68,68,62,74,72,70,86,90,88,74,92,88,70,74,94,66,70,80,44,56,54,66,54,54,72,58,80,150,76,70,56,56,52,52,64,60,72,56,54,46,48,64,54,48,38,46,56,64,48,54,32,34,48,30,52,44,34,38,34,28,58,26,32,38,24,12,16,18,40,10,40,26,26,38,22,24,24]
[26,22,38,28,38,38,30,26,30,46,42,38,52,34,34,36,50,36,44,48,32,38,62,44,44,34,48,58,62,68,64,50,64,58,54,58,58,86,62,62,64,66,82,60,70,68,68,70,54,64,88,68,66,66,56,50,48,66,62,60,70,48,86,62,70,66,62,48,64,66,78,58,56,86,64,60,60,68,70,68,54,64,64,74,90,70,56,76,42,78,72,48,58,82,64,36,72,74,58,60,50,66,46,42,64,62,36,56,64,44,62,44,18,40,72,42,44,62,60,42,52,62,26,58,28,48,54,54,24,44,34,30,34,36,32,36,38,46,34,36,28,38,18,26,26,20,4,16,28,32]
[28,28,30,28,26,24,30,24,22,24,38,36,42,50,46,36,56,50,54,50,58,48,50,52,38,52,40,56,42,64,48,54,46,66,68,48,42,56,66,28,54,66,58,56,40,58,50,70,52,82,48,80,52,60,66,66,70,62,38,42,52,62,64,92,48,80,66,58,44,64,46,64,60,52,64,62,36,46,58,52,58,72,50,76,58,72,52,52,68,56,70,36,76,68,58,52,64,48,44,68,62,54,54,52,72,50,44,44,44,32,36,34,46,52,26,44,38,48,52,30,30,32,38,38,26,30,28,54,52,42,26,46,26,28,30,18,24,22,28,34,4,14,18,22,8,34,34,22,20,38]
[42,24,30,32,34,40,28,36,28,32,4,34,50,26,48,42,38,40,48,26,28,42,44,56,34,50,62,46,44,42,56,54,72,62,52,36,52,54,52,58,58,54,50,54,88,58,56,66,50,62,54,54,66,56,70,76,50,50,66,40,74,54,74,70,62,42,74,54,72,58,48,42,62,70,54,64,56,50,70,74,50,48,66,72,50,54,56,68,54,48,72,60,48,56,50,50,50,58,24,56,64,48,44,46,32,48,38,64,40,50,56,48,38,46,50,46,32,38,30,24,58,36,32,38,44,38,30,34,30,46,18,36,20,32,16,30,38,22,54,20,18,32,32,32,18,28,16,24,18,10]
[22,44,36,32,24,24,24,18,24,44,34,40,40,28,52,28,36,28,28,44,42,50,38,34,28,40,46,50,52,56,62,36,52,42,40,46,56,54,40,60,32,46,54,38,54,44,46,50,38,60,66,40,58,54,56,44,58,44,52,44,48,48,32,52,66,58,58,56,78,54,54,46,78,54,54,60,54,46,50,58,24,64,52,78,68,46,78,56,62,66,58,48,42,60,54,60,44,56,46,54,58,68,22,52,50,52,56,52,40,44,54,42,46,64,50,48,42,44,32,28,28,46,28,36,32,18,30,36,22,30,20,34,20,14,40,20,30,10,34,22,26,20,32,30,32,32,28,32,18,28]
[26,18,34,38,22,20,30,24,32,26,36,36,38,52,28,18,38,40,32,32,38,34,46,32,54,30,26,44,54,44,30,50,50,72,58,50,42,64,28,42,48,40,56,66,46,34,58,46,52,66,48,54,58,64,60,38,50,36,42,84,40,48,56,56,38,50,60,42,64,56,46,60,44,66,70,58,32,54,32,56,56,60,54,38,66,48,60,38,48,38,64,62,34,48,32,60,66,38,62,54,44,34,42,44,38,52,52,48,38,44,46,42,38,44,50,34,22,26,38,26,20,34,24,34,26,40,40,44,20,20,24,18,38,18,16,30,44,24,22,24,24,16,32,46,32,14,22,32,18,16]
[24,18,30,26,32,30,18,16,42,18,24,24,46,38,30,48,32,26,24,26,30,32,36,28,44,70,28,52,36,28,34,46,52,34,40,32,54,36,50,44,36,48,44,42,44,34,58,46,34,32,56,52,60,46,48,44,50,56,56,54,52,30,58,44,42,48,46,52,28,40,52,38,46,50,52,60,52,56,56,48,50,70,44,36,52,56,52,48,26,30,58,52,64,48,54,46,44,34,46,66,24,66,52,40,44,46,38,40,44,40,44,28,28,38,34,56,30,32,38,30,32,28,20,50,34,36,20,34,30,30,34,20,28,40,18,26,34,28,34,24,32,14,18,20,24,18,18,28,32,28]
[28,40,22,30,40,24,34,20,34,20,32,46,22,36,26,38,30,40,40,36,36,38,30,24,40,36,42,32,72,44,36,26,42,36,36,56,40,40,46,56,44,50,32,44,48,42,50,48,34,56,44,70,54,40,48,58,52,42,46,68,42,66,44,36,64,56,38,40,64,48,38,36,42,46,46,40,46,50,48,78,36,42,56,30,50,48,48,34,62,40,52,64,38,40,44,40,38,36,48,60,50,46,60,34,32,46,44,42,50,20,28,42,28,26,38,22,18,22,34,22,36,28,50,28,32,20,26,28,22,42,20,30,12,28,28,26,30,36,16,26,38,26,24,20,38,22,28,26,22,26]
[18,26,18,24,40,30,22,22,22,28,28,28,24,36,24,36,24,38,34,26,18,26,40,38,18,42,40,30,24,34,48,50,30,44,32,26,28,56,36,44,46,58,56,52,40,56,28,48,58,56,52,52,32,56,28,48,42,32,36,50,48,28,26,36,40,44,44,38,32,60,58,44,38,30,52,22,34,40,40,42,36,40,38,44,46,42,50,44,34,40,32,64,52,34,28,50,28,30,58,44,46,44,52,50,46,56,36,60,42,42,28,40,28,26,40,32,54,30,30,32,34,36,16,22,32,38,30,38,20,36,26,34,30,20,24,18,22,22,18,28,16,14,30,14,20,16,18,24,24,16]
[26,22,36,28,18,24,32,20,30,20,28,40,28,32,14,28,12,32,42,34,20,26,36,32,40,10,40,28,18,44,52,34,36,50,42,38,36,34,32,28,46,40,42,50,30,32,58,38,42,32,50,54,46,30,34,56,56,26,48,30,32,52,48,26,32,46,20,42,38,60,44,54,36,38,54,62,56,60,46,36,32,40,40,42,46,52,42,24,38,52,28,44,30,58,36,22,44,32,30,38,42,48,26,18,34,44,44,34,20,38,24,46,26,20,26,34,42,38,24,28,34,32,28,54,44,24,32,24,34,30,28,48,36,20,10,24,28,22,22,14,34,16,22,10,38,12,22,16,26,16]
[16,38,42,22,10,34,22,26,30,28,28,26,20,28,50,24,38,42,46,38,30,36,48,34,28,30,32,46,34,40,30,36,50,34,32,40,30,42,44,48,44,32,22,46,40,34,40,36,32,34,44,38,46,40,38,34,20,46,54,30,68,50,28,80,26,36,38,34,50,30,50,30,64,46,70,48,50,46,48,44,38,52,40,74,48,40,26,36,52,48,40,32,52,48,56,38,48,64,46,40,22,34,42,32,34,48,14,42,32,44,40,24,36,30,30,30,34,44,42,40,32,14,12,16,34,16,32,22,24,10,36,32,26,32,14,22,12,22,26,26,26,30,30,18,32,26,36,28,22,20]
[28,26,32,28,16,18,28,44,30,36,18,16,28,28,22,22,38,58,40,38,26,26,32,38,26,38,20,40,40,62,32,36,44,34,42,32,44,38,36,32,40,28,48,54,48,24,38,44,40,38,44,54,56,34,32,36,52,40,38,22,38,44,26,18,30,34,38,44,36,52,38,36,38,32,48,52,28,44,30,38,46,38,60,52,48,48,38,52,52,34,38,42,18,50,44,40,30,30,24,48,38,22,40,26,24,42,50,26,38,32,30,26,32,48,30,30,48,42,34,24,32,36,38,40,36,16,22,26,24,36,38,18,26,30,34,28,28,24,24,32,14,16,14,34,24,28,32,16,14,28]
[22,34,46,20,30,42,32,38,18,22,42,28,38,22,22,40,18,24,24,42,36,28,38,36,38,28,36,42,38,22,40,38,60,38,40,20,40,52,28,46,38,52,40,36,42,40,38,32,46,40,54,38,32,38,28,30,54,52,40,46,38,34,28,30,30,50,40,38,46,42,46,44,52,58,64,38,38,54,40,34,48,54,58,42,54,60,42,26,62,42,60,64,58,48,38,48,38,28,46,30,62,48,50,54,28,46,48,58,36,46,56,28,38,40,28,22,36,24,36,50,26,46,30,32,42,34,18,20,26,40,20,24,24,18,32,34,36,26,28,42,22,26,24,28,18,26,16,28,521,605]
[14,20,26,22,30,34,34,30,34,24,48,34,34,44,46,38,24,38,36,32,34,42,48,22,32,36,32,56,24,36,50,20,40,40,50,50,52,36,50,40,52,52,32,38,28,50,50,38,26,20,60,38,34,24,38,48,24,38,46,28,44,50,46,42,46,50,42,46,38,58,44,60,56,70,62,44,74,50,58,44,54,68,78,66,80,44,68,76,54,64,66,62,76,48,78,70,72,66,56,36,74,52,42,66,42,58,64,46,38,56,42,48,52,54,58,50,24,26,60,46,32,32,26,52,22,50,36,24,32,46,30,36,28,26,22,30,28,22,28,24,44,18,18,40,26,22,38,26,11,57]

{"sheet":"Figure_1D_layer_3","index":3,"n_rows":150,"n_cols":150,"rows_kept":150}
[6,16,6,10,9,10,10,14,11,14,36,16,25,40,38,40,43,42,64,67,54,82,78,73,99,114,94,112,109,126,132,160,147,148,172,169,197,188,213,202,221,265,218,223,243,249,221,240,250,237,232,254,277,278,280,286,249,317,289,284,302,330,316,333,304,296,297,317,330,296,320,307,316,349,325,295,332,289,310,380,344,330,346,366,317,374,353,328,338,297,333,324,332,342,287,336,352,327,325,321,324,321,330,311,327,305,305,322,330,298,283,305,338,285,290,282,301,259,262,251,244,216,247,213,231,208,234,204,204,197,168,203,188,167,175,161,175,140,166,130,148,150,134,149,132,117,121,118,89,104]
[4,7,9,6,12,15,18,19,15,14,20,19,22,36,27,39,40,49,51,67,63,66,92,110,90,121,126,118,128,130,157,159,158,161,201,170,180,251,226,232,253,260,225,232,326,241,273,250,287,285,277,300,303,306,292,290,298,328,330,274,307,316,366,294,318,357,361,321,361,317,352,366,366,323,342,359,378,345,376,369,389,349,444,322,298,376,342,347,368,351,307,334,392,355,354,396,328,327,335,341,328,356,343,333,358,355,315,343,340,322,338,328,350,281,295,296,268,259,273,340,276,224,224,237,246,273,260,218,240,195,201,188,189,192,178,176,187,160,142,130,120,118,135,120,118,122,110,114,102,96]
[12,11,15,11,11,12,13,17,17,20,27,27,35,29,37,31,53,58,50,85,73,93,80,120,88,109,121,127,135,163,158,170,160,178,175,208,201,204,197,221,252,255,231,245,262,268,254,326,274,299,304,287,306,337,328,293,322,342,305,326,340,360,334,376,337,362,370,342,378,363,349,397,355,367,364,342,384,361,363,393,378,364,372,400,449,383,382,401,385,362,367,370,363,370,372,396,344,365,382,362,382,380,349,381,364,344,337,325,329,346,332,327,321,322,298,316,298,307,252,283,264,300,341,240,243,258,251,239,224,185,227,198,196,206,192,178,196,161,132,150,162,148,143,127,132,117,100,113,123,103]
[7,16,9,10,11,13,11,17,17,28,19,20,33,34,40,42,59,69,61,77,80,105,94,76,93,144,136,148,162,174,171,157,194,196,204,215,189,241,239,263,236,268,302,268,248,282,295,271,309,328,359,302,341,295,321,344,369,324,362,332,320,349,368,360,348,366,370,390,376,403,381,348,416,399,390,423,441,386,399,391,393,403,439,478,409,396,379,442,386,384,420,393,425,407,380,421,397,386,399,382,362,419,390,367,351,360,369,346,371,348,347,327,331,347,326,306,320,331,306,275,284,283,262,284,308,258,236,234,263,214,209,252,198,183,190,189,192,176,186,166,154,150,162,152,128,128,124,112,102,104]
[7,12,13,6,12,18,13,18,21,21,37,29,30,35,51,48,65,65,58,82,75,92,102,94,125,136,128,145,179,179,220,186,192,233,211,252,250,243,241,296,282,287,312,316,291,299,302,348,339,343,336,370,360,355,359,347,356,356,361,361,381,389,370,377,432,386,396,501,416,395,433,423,430,418,431,413,425,458,432,463,419,448,423,446,439,379,418,424,437,432,409,414,425,399,381,390,423,399,437,380,419,413,410,441,415,444,401,385,373,398,386,377,363,370,327,395,343,317,316,308,312,315,280,295,286,271,265,245,249,257,232,211,235,203,211,195,183,176,182,181,174,156,172,159,145,128,111,131,109,99]
[4,14,7,17,10,17,10,13,22,18,24,31,35,39,37,48,68,69,84,84,94,101,121,146,137,147,132,195,167,183,186,189,225,291,263,271,253,280,313,297,291,315,299,308,311,323,368,311,350,355,383,381,379,412,407,397,428,385,387,414,406,418,388,397,401,400,427,435,447,444,522,468,410,402,426,451,405,406,427,420,456,470,454,476,461,450,408,466,447,413,467,421,447,452,449,422,412,455,422,451,372,446,434,420,410,428,350,385,521,428,352,439,389,354,383,353,376,331,353,326,306,312,322,296,296,257,257,290,253,231,242,232,208,207,225,170,185,175,186,169,157,150,146,141,133,163,127,133,127,126]
[14,15,11,14,8,15,15,17,17,33,34,29,38,55,41,60,63,71,63,92,109,106,133,124,146,160,181,190,166,199,207,216,236,269,255,257,347,303,320,314,310,331,364,351,367,369,362,382,360,384,376,379,451,395,391,421,423,442,454,416,422,397,471,446,448,437,426,437,484,459,482,474,450,540,457,522,443,462,452,498,447,432,499,450,500,435,491,476,472,455,452,439,453,440,434,431,422,416,473,424,438,404,406,400,434,450,418,417,423,445,437,496,373,387,358,373,350,325,374,315,326,333,325,314,277,297,268,269,241,258,260,235,234,219,206,214,187,192,180,180,176,180,154,130,134,143,144,124,159,112]
[9,10,9,17,14,13,14,25,24,39,24,47,35,47,65,57,69,103,100,108,125,144,154,153,182,177,204,199,225,251,248,262,268,271,277,317,308,326,313,401,340,332,367,366,373,387,362,421,380,392,406,398,444,430,429,436,422,413,477,501,424,488,436,395,455,450,474,459,485,503,485,484,525,465,521,486,590,536,499,526,507,488,516,495,519,518,468,477,485,463,487,459,514,497,478,517,524,472,479,444,422,454,408,483,448,437,433,448,453,463,445,411,409,413,479,390,371,372,370,364,363,322,361,343,280,306,288,280,275,277,220,273,214,224,226,265,185,198,202,201,178,164,153,145,161,148,135,121,144,111]
[11,12,10,17,21,20,15,19,22,29,43,44,63,53,51,84,61,98,114,111,114,158,139,173,172,195,190,219,237,215,232,257,278,303,330,285,341,327,336,376,371,395,451,395,398,449,427,420,463,403,475,459,444,440,448,443,456,482,453,505,497,514,515,535,499,514,522,487,494,492,558,516,529,561,548,578,509,480,507,678,496,510,517,559,513,490,503,522,479,499,509,477,477,503,490,492,505,516,515,478,525,464,483,466,503,463,468,480,464,471,472,470,436,405,402,371,438,389,396,393,393,359,322,393,319,295,331,290,285,292,289,218,241,226,227,204,223,195,197,185,158,173,165,147,165,167,161,148,119,135]
[10,13,8,17,15,13,15,24,18,26,49,43,52,62,73,92,83,103,107,145,142,180,162,195,197,193,202,266,272,249,298,308,307,326,365,335,368,347,380,400,366,385,438,408,428,521,444,461,480,475,490,421,487,465,509,504,516,542,524,502,559,528,505,523,551,551,521,532,559,621,551,547,557,565,597,542,583,564,568,545,478,534,641,571,574,580,577,541,536,573,563,547,529,536,568,550,491,530,521,506,502,501,485,523,508,474,451,544,490,490,487,495,459,428,452,412,408,404,392,490,390,397,375,341,287,349,329,316,313,312,281,284,295,250,234,233,217,233,195,202,193,175,174,172,175,152,121,117,145,142]
[12,17,16,7,9,19,21,23,29,29,44,41,52,73,88,85,104,119,129,126,152,150,188,188,220,231,220,250,270,304,309,285,341,358,356,362,373,388,370,428,397,464,415,454,474,476,475,452,573,510,538,531,498,466,551,508,517,529,558,569,541,596,569,595,579,574,549,603,597,634,594,619,585,617,550,647,625,588,598,572,572,567,623,538,567,680,576,530,580,575,607,575,566,595,590,527,548,586,551,557,533,503,515,539,521,536,536,533,503,487,470,507,457,478,464,466,461,431,430,419,410,421,457,360,354,351,326,338,304,277,283,259,276,259,248,262,227,229,187,217,185,172,162,169,158,153,156,133,131,116]
[9,11,18,25,16,24,16,25,33,36,44,48,63,85,79,107,104,138,146,147,157,164,183,222,234,227,254,262,306,277,329,350,358,361,379,374,417,416,440,451,421,438,476,501,451,511,557,527,532,533,549,596,548,563,564,544,538,582,584,585,565,611,589,559,577,571,606,607,623,627,578,605,576,610,588,636,644,614,609,611,659,607,608,574,641,623,609,606,688,589,603,620,632,606,617,539,570,591,593,575,541,528,588,515,515,578,562,559,503,531,511,532,490,529,486,466,473,479,462,465,397,423,387,348,390,427,349,331,342,318,329,312,277,261,243,254,251,202,205,199,185,186,166,156,184,163,164,151,147,135]
[10,13,12,14,15,19,12,34,37,48,54,71,62,101,103,128,119,145,173,186,193,180,217,236,241,259,284,320,299,362,366,419,418,425,422,438,436,479,462,481,445,531,520,485,581,511,559,574,555,580,544,587,711,587,652,557,694,633,578,616,601,629,607,633,614,622,644,674,642,608,620,697,661,602,603,632,641,642,621,644,657,679,673,610,619,640,633,722,656,736,652,639,617,627,593,579,619,611,589,582,567,628,580,580,568,584,529,572,551,516,527,491,502,504,482,517,442,464,437,428,398,401,403,387,361,331,451,377,305,296,282,286,284,268,253,242,218,215,210,192,191,181,161,165,156,148,138,118,131,133]
[11,9,19,17,16,23,27,20,39,40,61,55,86,79,114,90,127,208,145,175,205,201,230,222,304,293,315,334,335,358,349,372,421,421,419,427,468,506,433,496,472,524,524,541,541,550,544,566,583,579,673,595,624,636,727,600,591,619,710,649,615,632,628,675,666,689,658,653,676,670,650,672,692,689,677,708,691,702,713,683,718,724,639,718,658,690,696,694,679,666,663,826,605,604,641,628,584,648,593,641,597,549,619,576,603,630,587,610,534,592,530,580,528,516,504,492,498,531,524,477,407,419,440,417,375,387,345,331,383,411,306,271,296,258,262,262,231,225,241,213,221,215,214,185,156,158,139,131,145,137]
[8,23,13,21,23,32,34,30,50,32,56,66,85,84,104,133,135,159,174,224,258,248,241,302,296,343,361,359,381,375,381,414,478,504,476,486,473,546,485,508,498,548,586,550,566,580,583,646,633,650,617,658,670,662,693,677,708,805,695,645,650,705,685,667,738,689,712,710,757,741,728,730,712,701,693,698,679,740,699,710,718,724,717,707,692,701,649,737,711,679,703,701,711,678,678,833,695,615,633,618,652,655,645,672,647,595,603,597,614,541,531,525,587,550,542,546,522,509,517,502,491,448,444,433,403,397,359,369,329,324,333,299,346,305,306,270,240,248,220,221,204,207,202,221,183,153,174,156,154,149]
[21,20,19,8,26,23,28,25,42,51,80,73,85,100,114,137,167,175,205,248,231,254,289,358,354,365,378,437,353,431,430,437,495,484,526,515,572,568,540,590,599,632,624,638,681,726,679,613,688,710,681,682,608,713,699,670,673,705,692,673,892,778,735,723,736,822,750,778,749,771,762,754,772,746,753,770,761,743,781,775,755,785,754,757,719,813,754,753,741,705,729,642,706,719,709,733,692,788,662,649,708,658,653,632,648,631,666,684,695,600,634,564,562,628,605,558,541,539,514,494,490,423,451,459,456,410,412,389,404,351,301,357,288,310,283,328,300,242,231,200,229,224,188,183,168,177,170,156,161,147]
[11,16,17,23,30,36,41,36,40,62,51,73,93,109,116,163,156,194,226,260,291,325,325,319,331,416,476,435,483,517,490,517,550,547,544,557,576,596,590,596,585,627,614,604,650,654,662,699,718,734,701,664,752,730,757,748,741,757,757,755,831,765,757,959,759,777,782,835,786,750,824,782,803,840,809,799,806,804,777,822,827,817,815,754,817,809,771,752,795,798,831,745,774,724,746,798,737,777,757,781,882,700,672,641,702,704,670,688,650,700,619,632,620,646,600,572,597,530,558,525,519,501,478,483,456,471,396,362,366,354,362,338,306,291,298,281,285,265,312,236,235,224,193,201,162,172,177,171,155,136]
[18,25,18,29,30,32,41,40,52,57,74,80,80,142,131,174,189,221,250,290,273,313,350,363,410,445,486,468,584,602,566,566,583,622,579,666,655,646,672,682,674,747,730,650,655,753,734,679,731,729,797,764,796,769,788,780,765,765,821,793,850,822,780,833,923,798,965,819,858,905,850,851,803,903,852,864,845,825,840,786,877,873,845,869,812,825,838,772,785,822,784,798,786,818,789,742,772,759,770,743,792,780,741,729,855,754,683,685,675,698,661,665,652,658,624,600,589,553,580,562,546,484,528,482,470,408,426,371,375,380,341,366,295,294,300,298,298,291,261,238,232,249,218,200,199,172,178,148,162,159]
[24,21,20,26,22,29,45,45,59,79,85,87,141,140,153,188,231,263,292,348,335,368,397,435,457,506,545,546,570,624,625,608,731,601,582,682,630,645,712,746,695,737,764,732,742,764,788,801,815,899,814,820,827,850,849,785,858,811,888,860,927,817,920,877,918,899,937,851,914,1093,970,875,918,947,891,935,897,947,896,915,849,890,928,868,910,952,868,841,868,799,843,851,868,852,840,813,781,797,740,767,794,762,754,790,731,765,752,947,776,739,720,710,654,694,634,621,628,629,592,591,528,538,515,496,500,430,421,424,390,402,359,372,330,362,320,286,283,268,276,252,223,226,221,211,220,199,169,172,133,174]
[18,25,24,37,27,40,48,49,49,70,80,97,117,166,177,204,231,249,328,359,387,423,475,474,531,573,617,602,679,719,729,716,756,706,723,860,752,792,828,844,773,830,794,801,803,787,794,857,920,904,871,915,923,878,901,919,918,880,903,929,941,924,959,938,973,908,874,904,1046,923,1002,998,1166,942,1007,909,930,961,941,924,969,933,945,947,840,959,899,903,962,907,957,877,969,844,877,906,842,812,812,867,790,851,864,833,819,764,815,778,755,920,829,726,734,703,719,659,670,603,658,584,594,535,506,501,516,452,433,465,431,379,385,364,358,313,329,272,268,288,234,251,239,239,194,228,191,189,165,214,159,146]
[18,20,32,31,27,30,45,49,51,68,88,109,145,147,179,235,263,320,368,407,417,465,508,525,523,602,609,681,751,753,752,748,724,751,733,755,754,802,1029,841,870,862,864,879,882,864,907,920,1003,925,942,986,966,982,901,913,959,968,961,984,970,996,1044,996,941,933,1098,996,1027,1012,1001,1027,1019,1024,994,1152,1027,1000,920,1050,1006,1000,961,991,1002,983,900,939,1006,977,935,924,945,916,901,887,917,868,884,823,839,860,821,865,866,751,808,782,801,784,814,679,764,864,663,681,633,628,624,571,555,542,542,533,503,441,423,407,414,408,362,366,359,321,286,297,264,298,282,226,210,228,206,176,175,166,152,163,169,145]
[14,31,23,25,50,38,40,49,60,72,83,113,139,166,209,257,267,311,365,476,495,549,542,628,647,689,739,747,803,856,854,900,832,888,821,730,864,862,847,961,997,1131,986,975,882,892,977,992,1046,1043,1099,1068,1062,1040,1024,979,967,954,1028,1074,1143,1122,1123,1063,1015,995,1008,1115,1072,1145,1148,1117,1100,1095,1008,1072,1128,1110,1273,1050,1113,1054,1032,1045,1057,1010,1010,988,982,1036,1080,1059,1023,991,921,945,891,892,901,967,889,919,909,919,884,819,847,883,861,859,818,865,813,763,721,859,682,698,641,654,594,582,560,565,548,508,450,469,450,392,381,376,355,353,310,299,274,252,291,256,225,250,225,213,212,172,170,176,149,143]
[19,26,24,29,39,41,47,60,70,91,105,101,156,190,218,247,305,368,425,519,575,649,628,644,660,780,737,742,809,929,979,999,966,828,847,810,831,884,976,1011,1074,1155,1053,1008,958,992,942,931,1063,1077,1157,1126,1089,1090,1001,933,991,1010,1093,1051,1103,1186,1375,1130,1058,1037,1045,1144,1125,1203,1239,1189,1198,1140,1170,1080,1055,1056,1159,1168,1199,1159,1160,1005,1002,935,1054,1008,1046,1022,1105,1119,1021,985,984,961,924,946,928,940,1221,1018,942,891,860,864,879,891,820,897,847,844,818,756,709,730,655,606,642,637,627,619,580,551,506,502,492,445,478,411,399,360,366,324,343,293,271,353,285,245,228,224,242,215,155,180,170,177,167,138]
[24,29,18,35,50,37,48,58,69,85,99,120,140,173,223,277,325,362,458,538,593,709,717,702,600,615,692,746,1003,953,1169,1107,1063,955,907,878,910,943,1014,1067,1177,1193,1098,1060,973,970,964,1027,1074,1182,1189,1264,1193,1143,1047,1021,950,1020,1150,1148,1239,1239,1270,1102,1081,1230,1043,1065,1199,1259,1298,1360,1181,1168,1135,1084,1004,1037,1117,1218,1217,1203,1186,1087,1100,1015,944,1026,1035,1263,1240,1104,1156,1045,987,976,908,1012,990,1035,1053,1079,1244,932,895,879,878,871,903,875,945,853,892,794,790,752,741,691,695,639,641,611,627,523,514,567,482,458,434,443,413,405,317,346,339,313,310,295,227,266,297,220,240,192,204,172,188,175,172,163]
[36,26,24,32,48,39,51,58,79,94,116,128,161,188,252,289,312,420,493,590,779,856,853,798,778,662,720,759,928,1010,1185,1632,1294,1135,993,933,954,976,1047,1180,1295,1366,1286,1230,1092,959,1022,1015,1016,1196,1406,1424,1353,1308,1113,1081,1092,1064,1117,1254,1376,1479,1366,1186,1171,1076,1100,1081,1485,1333,1478,1454,1401,1229,1189,1130,1113,1102,1126,1217,1347,1317,1264,1262,1104,1050,990,1085,1197,1226,1347,1380,1211,1121,1072,932,958,895,1032,1085,1196,1180,1119,924,940,1060,886,944,931,991,1024,1017,891,825,788,757,745,735,672,664,651,667,580,603,512,514,532,431,436,452,431,376,369,348,358,299,299,287,268,266,263,244,224,247,201,177,163,164,181,161]
[18,35,29,36,44,36,49,63,70,96,108,147,151,209,216,293,384,434,545,798,1177,1416,1358,1176,955,863,805,893,960,1254,1654,1890,1721,1466,1370,1030,958,1021,1141,1373,1646,1730,1574,1400,1199,1094,1044,1117,1167,1425,1831,1861,1678,1521,1319,1179,1149,1191,1241,1445,1698,1772,1631,1353,1279,1181,1178,1244,1342,1517,1811,2151,1612,1397,1274,1237,1097,1205,1300,1508,1724,1647,1495,1275,1201,1144,1130,1136,1293,1564,1648,1630,1486,1303,1099,999,932,1124,1160,1324,1575,1561,1267,1127,1020,929,947,1018,1294,1220,1239,1214,1094,980,806,738,719,776,699,687,652,666,631,585,556,578,519,478,433,456,421,396,380,384,342,295,313,297,310,245,232,275,230,237,203,199,212,161,143,155]
[22,30,38,37,43,53,52,78,93,94,118,126,176,210,244,335,356,491,597,955,1743,2007,2324,1629,1165,994,920,952,1143,1596,2288,2513,2309,1827,1467,1150,1089,1292,1213,1604,2265,2350,2205,1676,1445,1193,1085,1182,1224,1643,2247,2347,2130,1701,1398,1243,1095,1198,1329,1759,2196,2103,1891,1704,1485,1272,1296,1280,1481,1905,2321,2157,2013,1627,1625,1223,1237,1302,1360,1870,2131,2020,1715,1486,1225,1108,1111,1206,1356,1778,2187,2014,1826,1416,1180,1097,1148,1131,1332,1602,1907,1823,1609,1304,1042,990,968,993,1177,1523,1636,1595,1492,1050,925,777,763,722,715,656,634,662,595,610,534,538,501,443,432,395,418,405,417,359,357,317,313,276,275,284,233,239,248,195,167,171,187,164,180,203]
[32,30,31,38,47,58,61,73,70,94,139,146,189,228,259,318,377,474,657,965,1853,2483,2474,1655,1106,951,838,935,1181,1665,2467,2766,2350,1976,1390,1140,1002,1102,1264,1597,2864,2525,2160,1688,1409,1173,1072,1220,1293,1720,2370,2554,2302,1724,1526,1306,1176,1254,1386,1936,2411,2413,2170,1858,1548,1316,1160,1414,1440,1931,2392,2529,2130,1775,1499,1294,1213,1352,1704,1799,2279,2192,1915,1542,1308,1100,1122,1265,1484,2030,2369,2345,1931,1497,1228,1098,1065,1095,1313,1678,2057,1987,1717,1418,1179,1025,1007,1043,1225,1511,1846,1881,1505,1145,1016,1028,785,777,793,689,676,690,673,560,583,528,458,438,439,423,445,391,397,360,339,318,311,287,290,279,251,235,218,222,205,173,186,162,180,179]
[29,45,42,41,57,67,81,84,105,122,149,190,237,287,347,455,507,635,830,1222,1568,1422,1146,924,904,841,965,1144,1448,1809,2218,1998,1552,1278,1102,1016,1050,1206,1437,1851,2017,2171,1502,1277,1217,1197,1226,1309,1688,2061,2194,2109,1656,1387,1259,1267,1254,1404,1660,2138,2354,1991,1676,1535,1416,1294,1384,1448,1691,2129,2242,2170,1661,1456,1329,1309,1323,1287,1735,2387,2019,1705,1448,1284,1237,1204,1285,1326,1680,1952,1959,1631,1489,1180,1141,1087,1146,1224,1503,1712,1695,1503,1308,1095,1039,1058,1094,1232,1333,1646,1521,1319,1112,983,872,828,927,726,708,669,641,665,624,556,546,514,464,490,435,459,412,386,402,342,304,292,292,299,257,262,267,252,248,194,206,192,175,183,152,123]
[32,39,41,46,46,47,61,76,130,129,197,210,254,307,362,419,524,578,734,846,1059,1067,933,865,821,863,897,1097,1276,1402,1458,1503,1189,1178,1023,1009,1082,1111,1310,1480,1504,1484,1556,1248,1206,1179,1076,1258,1421,1542,1633,1601,1439,1324,1204,1235,1189,1315,1511,1691,1792,1661,1533,1354,1264,1228,1310,1310,1486,1711,1773,1681,1524,1428,1374,1244,1282,1369,1361,2079,1706,1574,1367,1275,1201,1207,1245,1285,1397,1561,1449,1452,1268,1227,1092,1098,1126,1162,1278,1361,1380,1304,1215,1095,1053,1033,1071,1144,1171,1300,1222,1118,1001,942,928,863,939,799,779,730,653,687,644,611,518,480,512,478,440,490,420,383,401,367,319,342,292,327,278,256,219,231,212,212,191,177,174,176,170,130]
[33,26,23,38,54,43,54,84,107,95,120,170,184,229,302,352,418,461,609,649,804,916,867,797,780,837,835,944,954,1027,1173,1211,1235,1220,1049,985,1052,1007,1088,1240,1253,1246,1268,1218,1208,1330,1044,1178,1169,1331,1321,1447,1309,1267,1140,1169,1174,1123,1233,1335,1379,1411,1460,1329,1289,1230,1251,1223,1316,1426,1433,1566,1502,1388,1329,1252,1220,1342,1278,1349,1341,1359,1689,1364,1200,1199,1123,1246,1174,1280,1258,1310,1310,1178,1152,1108,1066,1144,1106,1189,1174,1270,1196,1161,1093,1044,1063,1047,1068,1128,1125,1138,1063,1005,923,900,799,852,849,1017,730,728,662,660,609,579,553,527,484,493,448,420,417,415,345,361,297,308,305,304,237,262,235,234,211,197,219,174,168,157]
[23,29,41,27,39,54,58,68,92,99,191,183,227,249,312,393,473,516,574,701,786,830,842,760,757,823,931,955,979,1079,1148,1110,1089,1108,930,946,906,1018,1073,1077,1181,1186,1217,1163,1085,1068,1076,1327,1210,1292,1301,1270,1245,1202,1163,1209,1151,1135,1173,1274,1306,1298,1326,1328,1188,1191,1196,1274,1312,1376,1409,1409,1468,1301,1324,1243,1233,1294,1237,1252,1339,1370,1306,1274,1169,1369,1138,1199,1207,1184,1215,1202,1255,1125,1098,1116,1080,1120,1108,1088,1090,1211,1123,1078,1121,1057,1070,1072,1029,1107,1098,1117,1071,1021,924,875,854,813,778,798,715,746,811,631,610,566,540,506,504,465,449,398,360,378,343,360,340,345,318,275,269,222,231,218,218,201,189,186,169,141]
[27,23,28,43,37,43,63,85,85,125,126,157,208,308,316,384,485,510,624,696,847,858,864,797,851,799,827,924,976,990,1098,1109,1065,1037,983,954,993,1052,1129,1158,1170,1218,1258,1147,1133,1060,1117,1130,1227,1252,1335,1528,1239,1215,1129,1160,1218,1188,1220,1250,1225,1271,1212,1211,1250,1239,1232,1279,1303,1356,1379,1438,1431,1338,1284,1268,1245,1236,1316,1345,1340,1382,1343,1251,1235,1203,1196,1186,1439,1184,1184,1183,1152,1079,1056,1130,1144,1143,1113,1134,1132,1112,1051,1102,1060,1062,1070,1082,1097,1095,1114,1083,1087,977,958,894,940,911,782,816,771,717,700,677,643,703,571,547,480,477,430,443,409,390,363,348,337,321,337,308,295,254,251,239,234,220,197,186,174,164]
[38,24,27,42,30,48,64,70,98,104,116,178,218,251,275,405,571,577,692,831,984,1066,1009,885,818,858,839,901,965,1052,1121,1147,1199,1060,989,992,988,1067,1151,1199,1246,1250,1271,1182,1137,1069,1095,1175,1194,1265,1336,1358,1384,1453,1199,1179,1190,1159,1255,1286,1256,1269,1306,1215,1173,1212,1246,1321,1402,1441,1534,1517,1408,1307,1273,1341,1324,1268,1334,1380,1449,1421,1405,1273,1189,1235,1217,1198,1188,1218,1193,1436,1217,1122,1088,1039,1062,1079,1166,1143,1272,1188,1120,1063,1070,1028,1098,1060,1034,1202,1158,1079,1083,960,890,922,925,910,843,812,798,699,740,660,639,615,503,483,605,468,461,423,412,373,364,325,321,309,282,297,270,242,230,218,187,199,185,185,170,158]
[27,30,39,49,46,65,72,75,82,99,140,157,185,258,308,389,498,615,782,1036,1169,1273,1198,1070,949,880,907,910,964,1110,1288,1345,1319,1197,1047,960,1036,1085,1082,1257,1306,1467,1395,1215,1153,1133,1120,1157,1222,1361,1443,1457,1370,1252,1191,1172,1425,1198,1155,1328,1342,1341,1355,1301,1219,1235,1253,1318,1397,1491,1534,1641,1527,1402,1410,1332,1304,1279,1368,1463,1536,1531,1429,1456,1269,1222,1204,1293,1232,1255,1329,1246,1192,1447,1109,1108,1154,1177,1134,1260,1233,1260,1138,1171,1082,1060,1165,1126,1168,1238,1223,1290,1125,1073,946,904,940,900,858,771,767,742,710,627,633,593,614,519,555,481,438,527,357,381,348,323,368,315,282,315,271,264,231,211,248,229,183,208,175,154]
[31,43,33,41,43,50,50,85,82,121,153,161,201,283,347,400,518,707,785,1113,1725,1926,2285,1524,1302,1082,1026,1003,1011,1265,1634,1763,1620,1436,1213,1093,1088,1146,1201,1413,1659,1839,1666,1423,1320,1215,1201,1258,1236,1432,1677,1749,1638,1593,1279,1255,1210,1283,1280,1533,1449,1437,1444,1344,1348,1305,1278,1452,1523,1595,1891,1936,1748,1531,1432,1359,1379,1369,1393,1516,1642,1734,1617,1399,1287,1258,1211,1324,1288,1341,1394,1382,1284,1219,1150,1162,1442,1171,1242,1382,1534,1481,1341,1201,1136,1118,1134,1132,1245,1342,1441,1347,1254,1064,1038,931,933,912,875,817,784,754,669,663,624,591,539,574,514,481,493,464,376,475,349,374,326,321,287,300,257,258,226,230,196,211,159,194,169,173]
[31,38,33,39,39,50,71,81,86,118,143,171,191,269,292,405,534,653,850,1304,2310,2815,2666,2117,1577,1489,1085,1079,1118,1376,1953,2107,2098,1665,1321,1116,1142,1131,1230,1434,1985,2182,2150,1764,1389,1254,1206,1304,1387,1537,1973,2162,2029,1712,1441,1314,1370,1333,1315,1447,1580,1642,1903,1377,1375,1283,1329,1423,1480,1848,2322,2245,1966,1680,1548,1458,1371,1430,1530,1710,2038,2068,1788,1548,1432,1327,1244,1303,1329,1512,1601,1524,1521,1301,1203,1158,1238,1249,1305,1925,1875,1794,1548,1286,1218,1185,1142,1225,1428,1787,1830,1736,1561,1160,1078,983,978,913,872,845,815,689,716,688,662,632,563,502,522,489,431,433,419,424,402,364,403,304,312,298,280,240,247,233,225,228,213,185,161,167]
[26,35,38,41,50,53,56,86,100,100,140,184,208,261,295,417,487,688,917,1331,2340,3199,2971,2223,1774,1310,1107,1049,1353,1416,2043,2376,2270,1677,1394,1231,1112,1156,1324,1522,2055,2340,2168,1723,1416,1341,1207,1326,1450,1737,2188,2339,2276,1789,1452,1368,1347,1366,1338,1378,1717,1777,1685,1504,1311,1608,1368,1485,1597,1966,2336,2257,2079,1773,1569,1462,1410,1443,1480,1831,2123,2261,1994,1586,1533,1331,1241,1355,1341,1531,1750,1809,1660,1356,1261,1146,1209,1290,1292,1614,1960,1932,1993,1357,1230,1148,1227,1287,1431,1777,1938,1852,1539,1266,1166,1036,939,897,877,817,767,751,664,679,612,598,581,530,515,501,454,474,437,396,389,376,351,301,300,322,316,274,244,257,256,230,213,174,199,174]
[22,27,48,42,40,65,60,88,108,110,125,164,211,275,331,397,489,618,774,1077,1544,2179,2502,1855,1389,1128,964,1046,1142,1176,1514,2048,1703,1428,1225,1066,1038,1124,1218,1295,1605,1790,1772,1451,1311,1268,1184,1237,1291,1449,1776,1950,1858,1486,1441,1286,1244,1251,1348,1348,1570,1634,1578,1406,1338,1222,1360,1418,1745,1668,1887,2029,1927,1627,1546,1398,1333,1429,1396,1540,1761,1909,1686,1555,1477,1393,1294,1249,1281,1391,1483,1552,1474,1362,1203,1110,1188,1148,1290,1418,1618,1689,1506,1386,1192,1418,1145,1220,1262,1395,1624,1599,1404,1220,1064,1024,969,971,838,880,750,755,682,724,684,625,571,520,514,471,458,462,418,417,383,342,299,340,306,308,268,260,301,231,227,191,189,180,169,206]
[24,37,41,35,49,65,61,77,79,125,155,167,216,269,332,350,509,604,684,900,1128,1450,1561,1293,1126,983,929,932,1005,1080,1206,1378,1366,1516,1049,1033,1049,1095,1125,1217,1365,1487,1489,1405,1237,1276,1222,1332,1355,1369,1542,1544,1549,1512,1377,1336,1272,1366,1281,1344,1392,1503,1401,1351,1327,1330,1320,1350,1396,1461,1604,2073,1646,1478,1453,1313,1407,1419,1384,1509,1627,1653,1546,1488,1406,1321,1320,1321,1278,1411,1383,1361,1324,1299,1200,1200,1171,1213,1227,1342,1416,1447,1424,1388,1285,1184,1208,1179,1563,1257,1458,1385,1372,1191,1080,1025,950,930,924,860,845,784,769,703,652,684,557,586,519,512,475,458,444,416,390,398,360,353,337,309,274,278,274,253,212,248,193,182,184,150]
[38,37,39,39,54,48,64,90,89,107,133,175,223,285,322,353,504,522,636,784,945,1095,1136,1048,920,908,919,982,1037,990,1173,1192,1300,1127,1126,1022,1102,1406,1135,1154,1307,1318,1361,1263,1176,1198,1136,1221,1318,1372,1415,1451,1477,1389,1282,1264,1287,1306,1336,1340,1436,1389,1353,1366,1357,1362,1376,1396,1387,1537,1448,1513,1598,1479,1703,1396,1302,1384,1381,1407,1447,1538,1529,1491,1393,1354,1314,1255,1290,1279,1321,1352,1331,1329,1288,1238,1261,1195,1296,1220,1267,1289,1292,1275,1258,1213,1163,1169,1167,1262,1290,1595,1291,1162,1127,1072,1036,941,956,870,830,821,784,647,704,649,605,570,576,508,478,478,455,417,397,401,384,367,367,309,290,272,252,242,223,247,215,201,176,198]
[35,34,49,33,41,53,68,78,112,147,154,159,205,279,305,384,475,586,697,818,906,1002,998,931,911,865,867,992,1024,1086,1060,1123,1111,1077,980,988,1078,1046,1128,1253,1232,1219,1308,1216,1131,1136,1413,1204,1223,1390,1388,1443,1407,1367,1310,1279,1211,1290,1269,1327,1369,1361,1368,1304,1372,1307,1343,1413,1425,1479,1466,1506,1491,1374,1458,1365,1413,1362,1325,1392,1443,1483,1451,1753,1366,1371,1293,1293,1287,1281,1356,1340,1306,1279,1233,1188,1205,1218,1278,1221,1201,1261,1265,1242,1287,1191,1170,1217,1250,1303,1227,1219,1214,1100,1084,1043,1017,983,980,893,960,838,762,745,625,628,611,599,553,528,462,476,422,411,391,363,342,295,333,301,285,276,266,235,231,213,196,172,187,161]
[28,37,42,41,49,59,64,74,89,122,147,153,236,267,323,429,520,592,679,784,848,999,983,964,836,854,959,917,1013,1095,1123,1082,1086,1103,1062,1014,1036,1093,1090,1217,1299,1355,1226,1262,1201,1116,1171,1212,1260,1658,1298,1371,1409,1374,1221,1269,1275,1319,1371,1367,1383,1438,1409,1431,1313,1261,1317,1366,1358,1476,1408,1442,1506,1420,1376,1345,1366,1432,1417,1472,1482,1496,1482,1327,1350,1315,1531,1285,1318,1300,1289,1359,1337,1188,1203,1275,1218,1253,1209,1212,1208,1235,1260,1255,1263,1231,1200,1248,1252,1332,1249,1253,1111,1102,1073,1040,1040,949,952,933,833,852,753,721,819,664,577,569,504,509,502,451,418,427,370,344,343,339,334,296,264,233,264,229,242,221,216,207,180,173]
[17,30,35,39,46,60,74,66,89,111,145,161,228,264,358,557,552,644,740,860,1045,1136,1147,998,838,779,904,1019,1009,1114,1168,1127,1135,1067,1042,1009,993,1119,1186,1370,1329,1310,1375,1247,1243,1182,1163,1186,1199,1394,1405,1495,1667,1313,1347,1286,1304,1371,1321,1372,1491,1434,1466,1392,1350,1276,1278,1344,1423,1386,1484,1417,1515,1389,1369,1460,1357,1393,1506,1568,1500,1542,1511,1474,1396,1334,1314,1357,1339,1656,1286,1348,1354,1313,1225,1236,1275,1215,1250,1212,1257,1286,1233,1225,1218,1280,1232,1214,1261,1349,1270,1329,1219,1153,1072,1049,1046,979,944,875,861,767,788,715,682,636,633,707,570,530,514,448,460,384,384,398,364,330,308,293,300,288,277,224,261,224,188,208,155,152]
[30,26,42,26,37,54,56,72,82,106,142,162,196,272,334,432,541,649,1024,975,1309,1461,1330,1104,964,932,922,957,1031,1172,1259,1300,1239,1191,1017,1026,1076,1085,1277,1461,1464,1601,1420,1374,1299,1328,1257,1253,1377,1456,1571,1581,1572,1467,1348,1574,1426,1307,1421,1719,1336,1582,1559,1375,1381,1372,1344,1344,1476,1462,1576,1574,1474,1447,1347,1446,1471,1475,1499,1573,1635,1675,1632,1542,1457,1379,1387,1359,1433,1408,1443,1360,1420,1321,1512,1251,1297,1281,1236,1260,1259,1264,1268,1171,1269,1223,1260,1260,1334,1363,1370,1373,1334,1184,1131,1078,1079,1012,907,945,866,791,750,737,655,633,610,599,558,515,452,557,431,416,391,385,315,332,297,302,300,295,240,226,240,204,217,224,192,150]
[20,42,38,35,51,47,66,80,95,113,144,146,195,277,377,418,571,699,968,1198,1881,2452,1950,1683,1270,1162,994,963,1068,1170,1479,1579,1469,1294,1235,1112,1124,1178,1313,1541,1907,2033,1904,1669,1504,1442,1331,1292,1416,1548,1856,1870,1745,1557,1480,1405,1352,1386,1723,1514,1653,1665,1584,1427,1389,1400,1442,1381,1496,1542,1761,1778,1622,1500,1433,1380,1444,1437,1471,1741,1867,1893,1821,1562,1536,1335,1406,1317,1497,1485,1535,1625,1528,1414,1320,1592,1331,1233,1368,1373,1433,1295,1340,1269,1306,1309,1283,1339,1461,1488,1709,1572,1475,1317,1291,1134,1099,1128,937,967,925,741,826,792,692,666,632,582,522,503,517,487,532,418,371,378,348,356,316,309,288,260,233,236,243,205,193,183,195,184]
[28,35,42,39,44,63,62,82,92,86,137,163,210,259,316,446,608,694,1019,1569,2613,3101,2953,2468,1957,1363,1089,1051,1112,1305,2142,2418,2142,1875,1353,1222,1155,1332,1412,1824,2436,2539,2375,2054,1775,1453,1422,1411,1483,1706,2128,2293,2106,1795,1602,1450,1420,1394,1463,1621,1901,1978,2112,1543,1447,1432,1459,1485,1524,1686,2056,2093,1955,1660,1527,1473,1512,1540,1577,1848,2296,2197,2025,1670,1586,1398,1422,1417,1465,1588,1774,1749,1688,1413,1342,1366,1338,1285,1331,1635,1446,1449,1297,1249,1282,1319,1322,1420,1476,1855,2080,1902,1621,1304,1184,1170,1107,1096,958,910,891,810,749,689,687,654,651,615,561,560,503,515,422,397,452,393,445,333,289,281,288,270,283,225,229,249,184,197,159,167]
[21,25,39,26,45,56,60,72,90,89,145,146,195,240,283,382,514,681,915,1369,2300,3066,3153,2509,1731,1322,1053,934,1083,1239,1726,2224,2242,2038,1474,1285,1317,1238,1408,1705,2288,2592,2508,2068,1742,1496,1445,1317,1422,1528,1964,2219,2151,1834,1641,1434,1432,1467,1487,1590,1825,2072,1919,1730,1485,1367,1485,1439,1510,1582,1848,2120,1917,1980,1532,1506,1461,1499,1629,1752,2123,2258,2163,1868,1595,1470,1457,1453,1507,1480,1731,1779,1751,1521,1436,1297,1340,1277,1279,1301,1403,1402,1291,1267,1313,1309,1367,1329,1378,1628,2547,2039,1700,1463,1200,1153,1135,1025,991,959,883,827,736,751,696,658,659,585,577,530,528,499,458,398,379,415,383,352,305,330,293,252,281,249,237,210,209,194,215,169]
[40,43,34,40,39,58,56,85,75,128,159,180,234,272,301,392,514,690,896,1152,1695,2367,2198,1790,1317,1101,948,997,1038,1195,1522,1733,1803,1555,1323,1189,1143,1244,1420,1878,1902,2239,2056,1747,1534,1380,1352,1375,1442,1597,1865,1988,1832,1664,1537,1348,1424,1425,1498,1591,1696,1775,1686,1584,1504,1435,1492,1528,1517,1555,1782,1813,1765,1592,1526,1448,1736,1486,1625,1618,1951,1949,1669,1634,1485,1423,1381,1434,1477,1451,1640,1579,1569,1464,1409,1296,1315,1327,1313,1339,1338,1373,1384,1269,1277,1362,1297,1316,1400,1575,1708,1712,1563,1655,1187,1111,1170,996,999,870,882,821,796,715,637,676,625,622,531,536,458,478,409,447,391,362,354,355,306,338,302,255,267,246,234,237,221,211,170,170]
[33,37,38,33,72,52,60,87,87,133,127,189,208,266,332,374,465,632,710,986,1275,1582,1543,1380,1108,951,970,1014,1041,1142,1223,1285,1311,1198,1127,1113,1101,1164,1260,1398,1464,1941,1644,1471,1393,1233,1262,1337,1428,1404,1560,1610,1537,1527,1483,1389,1376,1390,1423,1467,1571,1601,1558,1530,1527,1456,1439,1473,1508,1460,1546,1595,1603,1572,1474,1409,1388,1524,1559,1832,1572,1630,1594,1619,1498,1349,1428,1441,1412,1396,1444,1487,1466,1425,1395,1359,1342,1319,1441,1373,1430,1412,1352,1315,1343,1329,1338,1356,1328,1397,1434,1431,1432,1252,1309,1155,1346,1044,1032,945,853,832,824,757,752,695,609,630,589,560,550,534,491,441,387,423,402,372,317,346,277,287,279,235,247,204,224,186,178,173]
[31,41,50,35,45,51,52,89,96,111,148,185,214,238,375,419,526,609,592,763,937,1061,1101,973,890,853,838,935,1071,1057,1096,1123,1190,1108,1085,1058,1020,1109,1239,1295,1373,1425,1390,1311,1455,1258,1209,1294,1335,1428,1488,1452,1503,1323,1350,1317,1379,1461,1372,1499,1518,1519,1522,1454,1500,1356,1457,1384,1506,1452,1539,1535,1559,1385,1434,1418,1406,1445,1464,1519,1547,1810,1515,1566,1459,1431,1374,1405,1389,1466,1477,1446,1431,1451,1316,1366,1342,1377,1323,1411,1303,1408,1395,1458,1377,1314,1379,1320,1306,1392,1446,1457,1463,1296,1192,1147,1125,1061,1018,1172,914,913,799,853,720,680,661,574,555,580,509,489,472,455,382,405,404,358,349,291,292,277,240,274,239,200,202,189,183,184]
[22,28,37,41,53,54,70,96,94,114,171,164,212,237,301,421,496,579,591,698,824,965,930,867,859,851,871,922,972,1091,1113,1052,1124,1041,1133,973,987,1011,1166,1212,1214,1254,1309,1298,1277,1277,1212,1524,1373,1469,1421,1463,1441,1387,1362,1394,1373,1410,1494,1526,1564,1578,1580,1593,1485,1393,1410,1441,1481,1534,1555,1487,1459,1479,1507,1402,1439,1490,1493,1524,1487,1487,1512,1511,1481,1751,1466,1393,1439,1476,1478,1482,1444,1468,1395,1330,1393,1310,1440,1442,1458,1431,1465,1382,1368,1378,1314,1312,1392,1374,1476,1417,1348,1312,1189,1133,1096,1104,1094,971,848,830,995,755,717,694,696,639,560,555,558,519,463,422,384,390,388,348,296,310,322,271,289,245,227,218,213,189,179,185]
[20,31,47,38,54,48,65,80,101,104,138,158,198,311,351,414,460,564,587,771,830,950,914,887,796,778,881,868,981,1058,1082,1103,1078,1051,1019,1013,966,1020,1147,1182,1254,1199,1265,1249,1213,1177,1194,1267,1358,1384,1764,1406,1422,1383,1381,1353,1349,1403,1456,1553,1469,1585,1513,1514,1438,1483,1411,1487,1481,1518,1520,1497,1542,1465,1501,1449,1388,1430,1530,1419,1511,1477,1460,1496,1413,1446,1347,1409,1738,1524,1458,1560,1502,1384,1332,1373,1335,1362,1475,1477,1419,1474,1477,1374,1376,1378,1307,1361,1360,1406,1548,1445,1394,1298,1272,1161,1173,1049,1052,986,937,958,834,842,707,808,672,664,586,557,538,484,470,431,449,382,327,323,315,353,307,286,244,227,234,229,214,193,201,153]
[27,23,31,43,45,46,56,76,101,108,127,176,216,240,312,391,597,544,712,780,971,995,1052,897,827,808,882,870,966,1067,1072,1147,1058,1077,1034,917,1012,1095,1109,1245,1187,1214,1231,1311,1254,1155,1227,1241,1306,1392,1404,1518,1467,1652,1389,1357,1358,1408,1505,1629,1600,1495,1584,1566,1478,1398,1417,1388,1460,1545,1526,1567,1529,1509,1492,1439,1387,1372,1510,1578,1618,1585,1481,1481,1536,1426,1413,1371,1454,1608,1823,1580,1479,1519,1502,1452,1501,1451,1458,1564,1536,1510,1481,1431,1412,1411,1308,1413,1446,1576,1509,1559,1427,1288,1243,1236,1075,1077,1006,983,838,870,777,793,727,693,660,562,718,550,465,509,430,412,418,353,319,332,354,306,316,272,255,247,232,218,202,190,171,162]
[36,30,50,40,59,52,72,64,109,143,132,163,224,265,301,393,474,594,715,1083,1126,1209,1276,1043,973,799,914,812,903,1074,1134,1190,1148,1108,1040,1085,1095,1114,1138,1257,1325,1351,1299,1238,1187,1260,1256,1267,1299,1360,1521,1561,1583,1552,1343,1315,1690,1423,1460,1603,1657,1689,1698,1527,1532,1397,1437,1519,1522,1536,1522,1585,1537,1397,1460,1408,1400,1398,1552,1475,1579,1596,1540,1473,1491,1379,1440,1433,1532,1490,1588,1613,1514,1782,1398,1341,1425,1506,1633,1625,1629,1623,1567,1478,1375,1324,1417,1477,1634,1770,1756,1728,1573,1385,1355,1233,1197,1047,965,956,923,823,863,770,758,687,618,653,593,515,594,496,460,438,393,406,367,359,309,266,268,242,251,231,223,219,210,181,182,160]
[28,37,33,40,40,55,76,78,79,101,144,160,202,253,313,423,496,661,817,1080,1569,1998,2283,1533,1328,1100,992,953,1000,1171,1457,1593,1560,1401,1211,1227,1132,1168,1210,1272,1490,1609,1601,1517,1402,1366,1438,1376,1424,1627,1771,1910,1824,1648,1551,1400,1384,1414,1640,2068,1950,2008,1912,1724,1576,1531,1544,1515,1531,1658,1698,1687,1570,1576,1483,1573,1471,1608,1535,1640,1674,1705,1615,1583,1539,1519,1500,1476,1624,1691,1805,1783,1665,1594,1482,1515,1868,1577,1712,1942,2021,1920,1770,1610,1502,1448,1563,1595,1743,2074,2180,2048,1790,1610,1368,1306,1167,1144,1024,984,931,858,840,808,791,706,642,605,569,591,510,462,471,518,378,364,357,334,289,325,268,251,257,235,251,213,229,171,202,186]
[21,29,42,40,52,40,65,81,97,111,128,165,214,271,309,448,513,653,872,1383,2142,2882,2649,2185,2061,1228,1096,1023,1061,1304,1796,2107,2142,1738,1428,1318,1201,1232,1277,1398,1719,1977,2022,1695,1431,1377,1261,1392,1430,1667,2066,2095,2072,1704,1591,1530,1506,1502,1665,1789,2247,2433,2609,1936,1689,1639,1561,1569,1544,1702,1870,1945,1755,1681,1569,1555,1468,1511,1579,1596,1784,1918,1724,1624,1488,1484,1500,1552,1633,1853,2130,2108,1902,1740,1541,1490,1538,1540,1722,2588,2385,2379,1969,1742,1522,1643,1546,1725,2125,2386,2583,2415,2075,1715,1453,1315,1214,1117,1044,1009,963,889,849,742,767,717,642,637,649,615,497,523,458,453,442,395,441,329,329,293,275,302,271,235,223,223,200,187,167,178]
[30,37,32,41,53,47,58,73,66,116,133,147,187,252,292,417,485,609,808,1187,2050,2959,2966,2417,1693,1402,1108,1256,1066,1233,1776,2241,2255,1890,1462,1263,1138,1212,1343,1393,1687,2003,2060,1726,1494,1334,1378,1442,1378,1588,1859,2222,2130,1859,1650,1459,1485,1514,1556,1805,2116,2399,2252,1950,1696,1859,1480,1575,1537,1681,1965,1948,1896,1607,1529,1600,1520,1549,1529,1624,1733,1817,1704,1522,1563,1482,1500,1580,1593,1850,2146,2235,2063,1689,1636,1501,1497,1531,1699,2012,2480,2480,2659,1814,1648,1509,1618,1795,1952,2491,2760,2563,2234,1851,1560,1315,1205,1168,1057,1028,999,876,915,773,766,704,636,605,598,566,532,499,487,431,422,430,364,345,326,394,291,281,268,224,223,204,179,212,164,171]
[37,33,23,36,38,51,57,73,98,109,144,168,215,239,321,410,473,594,744,931,1535,2066,2354,1893,1462,1273,1031,1067,1076,1190,1400,1630,1829,1670,1301,1241,1220,1398,1272,1400,1631,1713,1685,1502,1384,1448,1360,1395,1449,1535,1717,1769,1812,1657,1502,1435,1436,1471,1587,1737,1936,2109,2040,1866,1609,1527,1509,1473,1565,1617,1701,1775,1714,1633,1855,1543,1493,1567,1558,1675,1663,1700,1651,1587,1524,1535,1438,1557,1534,1628,1849,2024,1855,1619,1576,1525,1530,1642,1699,1855,2060,2219,1943,1709,1632,1615,1582,1635,1815,2103,2374,2367,2516,1784,1580,1374,1216,1193,1122,1039,956,888,870,823,767,733,715,624,640,574,547,490,492,464,454,389,396,344,330,318,278,263,276,239,224,222,223,200,196,220]
[35,44,35,51,41,77,68,73,106,131,156,159,217,274,345,385,459,604,758,834,1240,1572,1598,1335,1185,1048,981,1076,1090,1140,1233,1357,1320,1295,1230,1156,1135,1126,1225,1334,1712,1484,1465,1409,1324,1387,1312,1430,1445,1481,1546,1622,1579,1553,1485,1440,1481,1513,1558,1683,1779,1788,1744,1650,1616,1603,1515,1535,1611,1548,1694,1691,1594,1564,1574,1568,1540,1891,1584,1608,1615,1634,1559,1568,1504,1507,1481,1516,1474,1536,1747,1704,1664,1664,1565,1562,1577,1561,1574,1744,1803,1770,1703,1661,1578,1443,1539,1552,1644,1834,1964,1812,1732,1610,1417,1603,1224,1128,1064,1004,922,921,843,807,776,725,659,602,592,544,503,517,475,452,417,384,375,391,353,326,279,261,275,232,238,223,202,187,174,168]
[28,38,36,50,45,52,77,93,105,115,139,164,201,296,333,406,496,530,618,742,902,1078,1121,1067,862,935,997,1080,1095,1081,1124,1184,1142,1140,1163,1117,1089,1168,1243,1326,1344,1321,1432,1600,1279,1293,1325,1376,1482,1500,1551,1545,1578,1510,1435,1394,1392,1495,1614,1585,1648,1653,1741,1624,1606,1588,1584,1503,1553,1611,1542,1643,1642,1553,1548,1426,1525,1520,1503,1555,1838,1754,1583,1535,1518,1479,1479,1578,1488,1631,1667,1603,1689,1571,1593,1446,1508,1499,1552,1653,1676,1711,1592,1643,1549,1540,1456,1499,1607,1638,1670,1614,1583,1448,1369,1319,1231,1383,1085,962,891,889,872,761,764,737,705,633,616,613,591,465,476,446,439,387,356,366,341,303,303,270,288,222,237,245,213,191,165,190]
[35,50,55,40,67,71,96,107,136,121,156,246,306,332,439,475,551,680,769,842,924,928,934,824,918,936,1031,1147,1220,1166,1178,1113,1132,1143,1085,1133,1152,1244,1291,1389,1326,1344,1337,1410,1539,1270,1435,1556,1539,1586,1546,1474,1512,1465,1427,1416,1495,1542,1611,1584,1658,1661,1665,1577,1447,1502,1468,1516,1619,1567,1636,1614,1477,1503,1468,1460,1551,1581,1557,1651,1660,1927,1538,1516,1425,1527,1479,1561,1553,1704,1700,1650,1616,1599,1537,1521,1561,1548,1637,1558,1663,1645,1619,1511,1431,1464,1494,1671,1599,1561,1553,1488,1442,1369,1260,1236,1143,1076,1166,904,867,794,856,735,728,692,623,611,592,547,496,428,437,433,391,386,381,318,300,324,279,254,206,233,202,205,180,184,147,143]
[35,35,26,44,39,61,64,71,96,145,146,154,213,260,351,358,439,584,638,803,841,965,1008,952,918,903,925,1053,1131,1170,1281,1190,1215,1157,1074,1070,1055,1145,1265,1318,1422,1419,1409,1350,1294,1313,1545,1389,1528,1565,1564,1640,1501,1530,1494,1466,1505,1432,1574,1592,1606,1664,1667,1555,1489,1457,1454,1512,1565,1567,1596,1652,1626,1638,1535,1453,1582,1539,1667,1624,1605,1641,1713,1913,1555,1491,1451,1534,1484,1580,1601,1673,1626,1550,1577,1474,1568,1514,1590,1641,1645,1602,1580,1627,1560,1494,1476,1535,1518,1510,1589,1492,1536,1382,1323,1264,1269,1115,1057,961,934,1126,808,829,799,691,647,621,615,569,544,509,495,433,436,376,361,360,364,330,308,266,247,234,221,226,191,160,184,156]
[26,29,33,44,44,67,54,79,94,98,139,174,260,295,317,404,480,568,677,798,953,1108,1147,1075,946,891,961,1018,1199,1238,1302,1342,1269,1199,1176,1130,1081,1235,1281,1348,1419,1500,1436,1409,1369,1301,1300,1305,1469,1867,1589,1615,1594,1486,1557,1526,1449,1528,1590,1668,1711,1744,1718,1624,1604,1545,1514,1505,1634,1744,1659,1716,1676,1553,1551,1522,1496,1502,1623,1620,1665,1694,1644,1635,1569,1586,1832,1504,1561,1606,1593,1664,1697,1611,1607,1534,1535,1579,1680,1634,1678,1689,1654,1533,1522,1480,1463,1402,1544,1654,1583,1638,1434,1415,1327,1310,1215,1179,1082,1034,969,917,842,798,849,762,655,621,588,606,524,500,477,433,396,390,368,372,344,294,291,270,238,248,234,227,204,180,159,173]
[30,30,42,51,43,43,63,75,96,119,131,181,197,251,322,451,543,677,839,1090,1319,1660,1531,1365,1183,1075,1028,1018,1183,1357,1430,1537,1536,1378,1278,1231,1147,1251,1306,1374,1621,1647,1578,1460,1444,1389,1441,1399,1502,1582,1749,1808,2035,1543,1567,1536,1454,1526,1685,1789,1867,1853,1774,1650,1609,1540,1483,1541,1649,1744,1718,1723,1773,1607,1546,1516,1524,1621,1584,1730,1780,1755,1707,1583,1600,1564,1500,1534,1631,2005,1718,1732,1631,1591,1581,1546,1516,1663,1708,1846,1868,1891,1775,1636,1568,1523,1541,1492,1681,1655,1742,1818,1600,1464,1325,1252,1167,1121,1092,982,962,919,836,833,732,679,642,741,565,575,530,504,479,429,446,362,344,339,308,298,279,255,246,214,230,186,162,194,187,149]
[51,37,35,61,58,53,83,81,109,125,130,164,233,249,324,432,515,699,1151,1402,2018,2194,2134,1860,1536,1270,1293,1146,1238,1492,1874,1901,1934,1724,1421,1350,1237,1325,1414,1504,1982,1995,1913,1790,1558,1514,1518,1482,1522,1789,2144,2188,1924,1800,1637,2025,1509,1588,1754,2010,2153,2260,2100,1943,1772,1675,1606,1649,1826,1931,2132,2071,1972,1807,1630,1709,1591,1637,1726,2024,2204,2068,2018,1763,1754,1663,1623,1625,1659,1908,2044,1984,1900,2046,1741,1614,1689,1711,1883,2172,2190,2097,2009,1848,1667,1554,1587,1694,1846,2080,2036,2001,1785,1562,1455,1303,1224,1120,1077,1026,997,917,880,836,763,694,679,635,558,550,624,472,418,422,424,381,382,343,330,312,285,285,268,256,240,203,229,219,162,162]
[35,29,46,42,52,68,80,77,103,127,134,202,225,284,282,405,614,719,1004,1584,2624,3851,2801,2512,1966,1590,1320,1316,1415,1607,2359,2712,2400,2092,1721,1415,1354,1317,1506,1796,2416,2449,2342,2104,1821,1707,1530,1581,1686,1951,2555,2699,2401,2091,1835,1766,1589,1602,2124,2203,2615,2618,2413,2073,1884,1700,1739,1782,1873,2230,2561,2461,2253,2049,1760,1741,1686,1832,1794,2263,2668,2441,2201,1974,1753,1752,1671,1727,1811,2115,2352,2274,2081,1857,1654,2064,1744,1916,2123,2592,2656,2404,2298,1916,1755,1555,1671,1759,1992,2555,2741,2403,2165,1730,1523,1348,1282,1160,1132,1039,1009,913,914,817,789,760,689,678,638,634,548,485,518,547,442,385,375,362,334,308,302,275,225,234,253,207,208,175,164,156]
[37,32,38,41,49,59,69,84,106,137,144,189,229,284,317,428,502,666,930,1619,2444,3527,3480,2612,2405,1630,1283,1284,1402,1558,2273,2797,2689,2151,1781,1518,1324,1439,1564,1785,2285,2765,2617,2258,1891,1691,1503,1650,1708,1980,2513,2896,2692,2204,1917,1714,1643,1754,1840,2107,2528,3385,2537,2212,1880,1772,1690,1764,1889,2279,2651,2709,2464,2090,1910,1711,1713,1765,1915,2255,2547,2656,2473,2026,1903,1720,1654,1751,1807,2071,2368,2361,2195,1881,1713,1645,1671,1903,2028,2908,2723,2701,2289,2085,1834,1726,1710,1744,1912,2486,2827,2558,2197,1815,1499,1411,1218,1187,1125,994,1014,899,870,841,818,716,668,654,608,578,593,482,474,420,402,406,412,340,309,276,283,259,255,241,225,214,199,189,171,157]
[33,40,52,47,51,64,69,99,100,128,160,187,232,264,310,452,496,675,878,1180,1869,2507,2605,2179,1701,1461,1331,1572,1380,1416,1692,2108,2142,1856,1579,1482,1333,1407,1475,1668,1989,2327,2261,1939,1765,1627,1518,1526,1668,1860,2046,2351,2229,2022,1789,1715,1602,1648,1807,2009,2255,2483,2316,2046,2135,1733,1657,1708,1759,2068,2235,2440,2512,1853,1818,1731,1679,1712,1781,1989,2225,2325,2197,1865,1802,1732,1656,1695,1719,1912,2118,2043,1954,1754,1674,1609,1711,1752,1979,2134,2490,2322,2645,1908,1704,1656,1652,1691,1820,1928,2201,2102,1844,1700,1401,1364,1148,1156,1089,1023,921,897,859,808,746,678,687,663,608,594,497,500,488,467,450,402,374,371,299,353,301,273,251,230,206,191,194,187,186,164]
[36,38,45,60,49,60,69,107,104,131,154,183,241,326,318,395,498,583,750,979,1204,1655,1786,1559,1266,1229,1143,1164,1206,1319,1772,1612,1566,1462,1381,1311,1272,1326,1362,1522,1587,1779,1819,1728,1629,1512,1433,1512,1595,1724,1750,2061,1870,1671,1656,1624,1594,1552,1678,1734,1852,1896,1932,1846,1716,1623,1620,1967,1699,1808,1945,1961,1851,1765,1697,1599,1669,1683,1679,1773,1904,2021,1890,1751,1655,1612,1619,1593,1632,1667,1791,1772,1706,1717,1615,1476,1617,1674,1703,1779,1949,1956,1841,1757,1609,1838,1475,1519,1634,1710,1799,1727,1587,1549,1399,1313,1216,1158,1124,1065,984,845,879,865,774,703,663,652,620,596,552,513,552,419,438,391,366,334,295,295,293,252,299,248,203,200,205,156,188,137]
[29,47,43,47,72,58,76,79,112,126,150,204,217,282,317,467,527,543,646,761,935,1118,1223,1207,1031,1017,1090,1182,1258,1230,1278,1422,1415,1727,1145,1308,1305,1238,1348,1414,1495,1512,1575,1580,1396,1418,1478,1448,1526,1604,1645,1737,1718,1711,1562,1594,1568,1547,1560,1683,1710,1778,1690,1785,1682,1554,1509,1635,1630,1600,1995,1746,1795,1780,1656,1594,1556,1526,1563,1727,1775,1723,1707,1677,1616,1620,1562,1579,1554,1614,1663,1664,1696,1650,1669,1523,1516,1616,1576,1643,1706,1737,1600,1644,1552,1538,1390,1461,1893,1510,1514,1499,1476,1398,1319,1233,1242,1052,1086,933,910,887,839,785,752,729,650,698,581,540,546,520,464,459,381,382,329,340,326,320,298,288,247,246,232,276,184,176,178,150]
[31,39,40,48,54,63,82,86,115,154,148,184,203,284,338,412,503,555,618,759,892,948,1034,1003,945,995,1081,1170,1235,1266,1371,1328,1331,1325,1230,1239,1473,1320,1425,1537,1474,1450,1430,1421,1455,1441,1394,1474,1571,1612,1656,1620,1538,1528,1529,1570,1505,1569,1618,1624,1664,1669,1668,1577,1592,1577,1447,1529,1638,1658,1743,1659,1740,1955,1613,1573,1484,1512,1657,1671,1768,1734,1680,1645,1619,1576,1471,1551,1514,1632,1683,1653,1626,1580,1508,1542,1471,1585,1493,1533,1564,1663,1706,1631,1528,1394,1401,1422,1490,1529,1474,1832,1394,1357,1247,1184,1182,1096,1121,1024,944,928,843,810,740,729,691,629,595,589,531,499,454,462,458,440,352,359,300,286,288,237,238,255,234,212,229,184,193,153]
[31,35,52,50,56,71,77,94,109,130,157,173,259,298,384,425,464,529,614,750,827,955,975,1007,885,963,980,1086,1194,1317,1373,1406,1377,1302,1249,1252,1209,1273,1398,1755,1499,1440,1491,1446,1328,1417,1388,1396,1554,1692,1679,1687,1625,1581,1508,1538,1488,1460,1607,1687,1620,1646,1702,1649,1647,1572,1612,1529,1681,1668,1683,1736,1618,1628,1591,1502,1844,1566,1644,1631,1670,1714,1754,1593,1581,1532,1467,1507,1590,1603,1776,1627,1621,1575,1601,1492,1486,1467,1513,1571,1636,1584,1561,1579,1520,1429,1389,1370,1435,1407,1425,1419,1375,1516,1251,1210,1102,1025,1029,978,870,918,849,797,725,709,713,631,567,566,519,456,489,420,378,359,357,341,335,279,293,251,242,240,203,192,193,192,162,156]
[36,45,45,51,55,78,71,112,134,142,163,178,249,273,341,434,498,573,711,798,1013,1070,1103,999,941,865,978,1139,1239,1448,1559,1483,1499,1484,1332,1227,1249,1369,1422,1661,1588,1629,1814,1479,1375,1455,1459,1524,1577,1735,1780,1719,1671,1666,1575,1588,1506,1476,1590,1723,1691,1754,1701,1635,1584,1608,1562,1644,1756,1710,1742,1759,1780,1655,1504,1629,1492,1550,1724,2039,1701,1824,1619,1675,1628,1585,1489,1533,1607,1556,1638,1734,1658,1549,1591,1589,1527,1526,1480,1588,1613,1634,1590,1562,1455,1415,1444,1372,1488,1512,1442,1372,1351,1250,1316,1194,1109,1245,1023,1050,966,848,907,776,750,737,662,655,572,578,476,432,451,454,405,378,347,312,328,285,288,264,215,254,231,184,194,168,174,170]
[37,45,41,50,52,73,81,98,151,131,150,179,244,296,378,466,523,623,828,959,1140,1318,1329,1122,1046,1010,1076,1189,1377,1645,1823,1865,1802,1583,1576,1463,1478,1387,1479,1643,1826,1868,1733,1543,1565,1862,1536,1536,1697,1849,2037,1926,1892,1679,1664,1608,1561,1560,1688,1837,1967,1960,1831,1728,1620,1567,1616,1690,1779,1874,1935,1960,1805,1807,1712,1606,1570,1690,1766,1852,2009,1803,1794,1995,1667,1622,1600,1573,1639,1780,1826,1721,1716,1650,1511,1506,1454,1533,1591,1735,1734,1639,1617,1524,1530,1438,1394,1438,1449,1443,1521,1410,1384,1291,1251,1208,1075,1074,966,1036,1103,850,783,756,771,656,615,613,564,565,523,453,426,406,400,364,347,342,346,297,279,264,257,208,187,217,165,176,160,162]
[32,37,47,49,61,66,74,83,99,126,146,230,251,310,361,459,588,732,865,1126,1689,2037,1886,1526,1361,1159,1167,1190,1466,1792,2305,2584,2404,2070,1880,1607,1568,1501,1618,1727,2134,2283,2080,1926,1688,1670,1610,1606,1676,2402,2299,2359,2060,2030,1829,1789,1677,1729,1791,2125,2254,2281,2052,1939,1807,1749,1729,1687,1944,2154,2268,2350,2045,1871,1823,1772,1749,1766,1815,2104,2308,2206,2069,1823,1805,1695,2109,1701,1733,2135,2081,1971,1896,1740,1695,1582,1554,1628,1593,1796,1861,1965,1735,1596,1559,1430,1396,1495,1535,1627,1837,1652,1450,1352,1262,1162,1078,1117,968,987,853,936,846,922,705,718,644,578,558,549,528,469,433,421,387,395,328,330,322,292,242,247,241,215,225,197,176,182,165,135]
[37,53,41,55,63,73,79,81,113,129,146,188,207,267,437,467,541,733,918,1415,2342,2856,2626,2066,1557,1333,1156,1290,1531,2061,2778,3177,2782,2435,2041,1747,1560,1573,1632,1974,2615,2889,2558,2161,1992,1677,1643,1665,1828,2163,2786,2790,3117,2206,1965,1808,1869,1725,1953,2379,2768,2588,2386,2118,1917,1824,1688,1767,1915,2425,2811,2676,2426,2136,2090,1534,1692,1732,1987,2390,2661,2583,2387,2065,1913,1770,1692,1720,1907,2697,2472,2328,2055,1853,1622,1630,1612,1533,1637,1965,2231,2081,1878,1661,1481,1418,1472,1450,1590,2000,2121,2108,1698,1436,1306,1245,1138,1062,1012,995,914,912,791,785,721,682,649,676,588,515,533,468,471,408,400,366,328,340,318,272,260,248,260,242,209,171,196,178,180,147]
[35,51,37,66,57,81,78,91,120,154,170,211,239,283,323,432,540,830,888,1269,2397,3011,2842,2206,1644,1275,1171,1296,1520,2022,2815,3093,2945,2455,2155,1695,1573,1550,1673,1960,2626,2784,2611,2211,1874,1724,1711,1762,1853,2302,2911,3028,2649,2333,2210,1793,1744,1794,2019,2458,2716,2741,2452,2184,1891,1795,1672,1826,1936,2424,2770,2850,2511,2150,1965,1787,1732,1815,1904,2310,2671,2771,2451,2119,1807,1779,1670,1884,1921,2317,2657,2991,2189,1816,1662,1583,1585,1654,1679,2007,2207,2266,1856,1595,1561,1428,1389,1560,1698,1983,2125,2072,1619,1439,1286,1096,1135,1108,1080,996,950,858,847,788,726,683,631,574,682,531,493,511,447,424,401,371,365,327,309,312,273,264,271,212,223,211,186,178,181,156]
[29,58,39,56,59,64,93,106,95,148,206,246,286,307,377,454,576,637,859,1147,1933,2293,2075,1613,1238,1141,1167,1305,1450,1781,2258,2484,2322,2052,1659,1707,1438,1501,1592,1990,2106,2441,2042,1818,1756,1539,1637,1741,1818,2178,2970,2566,2189,1937,1753,1722,1657,1758,1924,2213,2465,2376,2060,1828,1762,1632,1668,1795,2043,2362,2449,2406,2187,1806,1755,1707,1617,1818,2002,2123,2492,2308,2067,1801,1733,1673,1696,1758,1903,2009,2633,2114,1882,1693,1645,1666,1656,1508,1889,1785,1858,1729,1652,1496,1501,1504,1483,1459,1567,1760,1654,1613,1378,1279,1158,1139,1091,1092,996,993,926,809,765,762,738,642,647,576,698,473,486,441,436,390,381,338,330,285,310,271,249,274,216,199,204,197,182,177,156,136]
[23,44,47,61,63,56,70,93,115,124,137,185,246,281,366,410,471,585,649,794,1265,1327,1475,1334,1246,1043,1089,1196,1336,1496,1619,1919,1860,1674,1580,1491,1367,1392,1476,1552,1686,1855,1820,1676,1578,1527,1551,1593,1708,1777,1984,2064,2033,1859,1665,1637,1668,2000,1734,1711,1895,1935,1920,1761,1703,1652,1553,1621,1679,1811,2016,2059,1949,1796,1696,1620,1615,1621,1680,1863,1950,1991,1864,1787,1720,1571,1585,1604,1605,1719,1789,1915,1727,1641,1954,1540,1605,1504,1583,1609,1578,1605,1644,1475,1490,1501,1481,1482,1530,1458,1413,1520,1358,1310,1194,1112,1124,1051,1041,966,916,879,785,746,741,657,644,630,543,566,463,546,472,389,433,384,333,351,299,301,249,228,204,236,216,183,148,167,140,158]
[35,32,45,52,49,75,74,94,117,108,179,175,235,275,354,448,549,517,625,721,822,983,1336,1029,945,958,1075,1101,1162,1293,1433,1568,1485,1448,1333,1324,1293,1389,1407,1433,1488,1515,1527,1507,1413,1362,1503,1463,1579,1653,1750,1747,1706,1702,1587,1609,1483,1549,1578,1664,2090,1787,1779,1636,1627,1507,1520,1475,1642,1657,1635,1661,1707,1679,1573,1437,1493,1493,1647,1633,1640,1739,1703,1735,1592,1482,1539,1536,1496,1616,1564,1628,1584,1598,1560,1477,1469,1770,1522,1536,1511,1569,1516,1515,1437,1379,1425,1393,1370,1311,1311,1422,1278,1316,1167,1109,1123,1039,1011,958,889,841,818,792,682,674,631,631,555,539,472,498,437,412,400,443,338,303,294,276,255,231,242,204,196,172,187,146,137,149]
[33,53,46,58,67,68,68,89,116,152,173,166,225,258,361,405,556,568,603,732,801,857,972,933,918,963,1209,1114,1132,1368,1294,1317,1273,1326,1243,1291,1274,1241,1332,1490,1485,1436,1474,1416,1450,1344,1355,1427,1467,1676,1733,1620,1613,1611,1637,1548,1451,1509,1514,1698,1720,1625,1636,1978,1533,1551,1506,1460,1592,1613,1646,1548,1593,1574,1630,1496,1466,1513,1509,1681,1625,1700,1607,1601,1606,1543,1494,1508,1537,1608,1591,1636,1671,1522,1613,1531,1457,1422,1493,1595,1834,1527,1498,1508,1496,1378,1338,1295,1382,1356,1333,1347,1364,1286,1254,1136,1029,1006,1015,995,892,915,808,767,705,646,630,628,527,565,515,474,440,363,405,343,336,378,285,280,263,217,219,235,192,151,184,161,145,132]
[30,40,56,55,52,47,98,90,109,150,169,194,259,274,345,431,472,568,620,722,825,889,1036,934,887,938,1028,1025,1324,1234,1316,1318,1366,1238,1138,1231,1262,1314,1451,1549,1521,1475,1491,1392,1467,1375,1350,1455,1553,1673,1637,1681,1624,1570,1626,1559,1416,1504,1651,1586,1677,1740,1606,1578,1587,1460,1781,1490,1605,1594,1615,1596,1520,1568,1534,1477,1455,1544,1596,1623,1672,1642,1680,1624,1512,1475,1458,1446,1510,1632,1618,1600,1628,1613,1561,1532,1460,1486,1485,1540,1528,1601,1609,1778,1461,1460,1331,1372,1396,1451,1321,1344,1241,1260,1204,1071,1033,1001,969,980,856,830,794,790,673,631,622,587,535,528,522,478,425,385,379,361,307,283,276,283,290,245,173,204,189,172,146,153,149,146]
[37,36,42,65,56,80,87,108,103,99,170,180,241,245,366,408,451,559,654,833,956,973,1014,995,873,921,978,1010,1202,1348,1310,1646,1302,1250,1190,1187,1210,1291,1352,1492,1535,1557,1505,1399,1407,1398,1378,1388,1532,1607,1626,1709,1578,1478,1516,1505,1450,1490,1627,1780,1746,1677,1660,1529,1518,1479,1486,1429,1862,1574,1591,1564,1531,1510,1417,1471,1408,1548,1610,1612,1710,1632,1563,1480,1483,1520,1433,1473,1624,1626,1597,1678,1613,1561,1422,1489,1430,1455,1457,1573,1564,1552,1629,1465,1421,1426,1569,1404,1404,1282,1365,1314,1321,1181,1131,1087,1046,1005,947,920,878,786,788,761,685,639,608,551,561,466,468,438,398,369,381,315,363,312,265,246,271,223,185,244,200,161,148,134,153,134]
[52,45,62,55,70,78,83,77,95,111,137,169,221,273,347,409,495,610,775,864,1129,1391,1304,1218,986,978,1015,1064,1189,1291,1412,1619,1539,1448,1548,1249,1288,1318,1481,1571,1647,1722,1596,1492,1381,1413,1362,1430,1547,1579,1828,1866,1732,1604,1538,1521,1525,1515,1671,1746,1960,1975,1871,1660,1591,1442,1508,1475,1508,1530,1697,1681,1948,1527,1470,1458,1384,1520,1574,1779,1796,1908,1716,1579,1521,1497,1466,1498,1692,1721,1865,1733,1734,1659,1533,1435,1425,1470,1574,1640,1797,1813,1560,1570,1475,1408,1341,1304,1368,1695,1461,1414,1333,1254,1192,1141,1009,976,991,943,808,817,737,676,622,638,595,576,492,510,444,446,395,363,359,337,310,280,259,246,234,218,190,204,189,190,170,163,139,122]
[44,43,62,70,66,75,84,90,119,142,169,198,250,260,386,434,554,724,883,1268,1982,2198,2055,1660,1332,1217,1147,1226,1300,1565,1991,2028,1881,1743,1498,1420,1421,1651,1520,1838,2089,2013,1855,1679,1558,1517,1433,1549,1646,1984,2192,2113,1969,1844,1600,1579,1631,1678,1806,2110,2394,2172,2029,1851,1724,1606,1482,1574,1663,1765,1995,1945,1745,1603,1833,1554,1460,1588,1779,2107,2238,2099,1886,1743,1657,1495,1540,1621,1822,2063,2216,2142,2016,1726,1577,1546,1597,1512,1750,1934,2135,2047,1868,1542,1472,1466,1395,1418,1474,1729,1748,1636,1751,1379,1145,1035,1012,1026,1009,904,873,841,751,721,655,629,569,566,520,472,435,462,384,350,378,338,326,273,287,256,272,209,224,193,181,192,164,172,149,177]
[45,53,50,71,74,87,93,108,120,135,161,190,221,261,390,471,533,768,1047,1665,2585,3080,2786,2385,1590,1419,1230,1246,1432,1877,2517,2740,2399,2221,1810,1548,1389,1487,1587,1967,3106,2502,2372,1950,1670,1509,1507,1641,1801,2349,2868,2713,2534,2084,1847,1729,1646,1727,1914,2333,2671,2682,2468,2118,1909,1696,1523,1610,1760,2112,2409,2306,2032,1757,1636,1555,1605,1887,1940,2456,2627,2417,2140,1855,1630,1545,1550,1704,2026,2511,2641,2455,2113,1785,1676,1608,1588,1650,1803,2406,2571,2510,2031,1753,1556,1421,1455,1507,1718,2028,2160,2004,1513,1303,1291,1445,1086,1012,958,926,842,783,773,698,663,613,585,566,535,477,439,428,402,376,327,303,305,285,259,270,243,207,208,200,204,164,148,146,138,146]
[42,46,46,60,71,75,98,99,122,129,177,206,254,257,314,437,499,684,838,1462,2616,3244,3115,2595,1850,1494,1209,1193,1372,1710,2478,2805,2713,2246,1784,1612,1431,1461,1545,1875,2387,2667,2449,2459,1773,1544,1422,1679,1764,2195,2596,2764,2522,2129,1731,1651,1662,1704,1867,2349,2686,2848,2582,2076,1835,1666,1477,1594,1548,2037,2392,2303,2074,1732,1602,1455,1425,1678,1793,2166,2541,3109,2273,1903,1709,1491,1565,1680,1874,2374,2534,2681,2292,2019,1615,1510,1562,1635,1807,2189,2641,2522,2067,1709,1566,1476,1510,1490,1604,1893,2138,1972,1644,1322,1268,1203,1115,1043,1101,932,841,855,753,666,712,581,562,538,510,516,454,423,400,385,346,345,283,260,245,232,206,242,233,210,173,168,157,153,144,143]
[40,45,45,47,67,71,78,105,105,176,151,210,248,270,374,394,504,638,746,1028,1584,2264,2353,1885,1508,1309,1161,1122,1245,1411,1688,2152,2279,1933,1634,1517,1386,1378,1470,1679,1874,2155,2010,1761,1587,1489,1704,1478,1573,1764,2053,2244,2127,1769,1589,1560,1526,1549,1717,1963,2224,2440,2162,1855,1680,1502,1578,1541,1466,1739,1908,1835,1767,1631,1505,1411,1423,1483,1651,1787,2154,2182,2000,2067,1639,1486,1454,1560,1664,1879,2163,2139,1922,1678,1467,1510,1550,1579,1582,1777,1971,1950,1791,1547,1505,1401,1446,1447,1511,1588,1748,1680,1448,1269,1208,1182,1103,991,1013,938,837,970,711,681,602,645,487,503,501,469,437,411,383,323,332,282,287,258,258,219,211,218,188,174,154,133,132,143,121,99]
[29,32,45,49,64,61,63,78,107,144,165,189,295,282,328,434,494,565,669,893,1182,1298,1449,1329,1215,1100,1098,1127,1255,1327,1387,1689,1612,1488,1465,1342,1335,1318,1466,1478,1538,1643,1580,1563,1381,1377,1291,1409,1461,1958,1724,1797,1698,1545,1580,1524,1403,1493,1555,1748,1926,1840,1840,1631,1586,1503,1437,1520,1380,1541,1642,1608,1528,1481,1442,1421,1476,1459,1495,1571,1719,1818,1652,1583,1500,1438,1742,1472,1535,1713,1749,1788,1671,1610,1407,1419,1412,1488,1587,1605,1755,1689,1615,1516,1373,1418,1367,1396,1381,1421,1507,1461,1345,1226,1194,1122,1057,1043,975,890,798,794,775,705,793,589,508,528,538,479,436,413,400,365,356,327,287,256,288,227,217,224,210,203,172,183,135,140,138,134]
[33,45,62,55,69,71,84,87,117,122,151,183,207,275,325,509,483,562,640,747,898,970,1064,1068,1034,967,1043,1107,1234,1201,1328,1332,1340,1286,1222,1225,1248,1279,1337,1386,1481,1530,1427,1362,1363,1368,1254,1361,1357,1440,1510,1540,1838,1524,1367,1391,1320,1463,1452,1628,1623,1632,1640,1626,1493,1364,1398,1418,1397,1512,1514,1503,1499,1476,1367,1382,1352,1447,1473,1489,1555,1626,1564,1464,1508,1378,1336,1389,1450,1758,1559,1528,1576,1470,1498,1439,1346,1408,1522,1531,1453,1567,1470,1463,1453,1328,1345,1371,1387,1477,1455,1374,1336,1269,1239,1168,1085,1027,988,898,842,854,735,687,678,644,710,499,481,471,425,441,415,380,313,316,350,297,245,253,212,196,192,198,193,151,152,104,120,105]
[37,47,45,65,66,72,79,103,119,133,151,196,192,280,368,446,457,493,728,732,806,919,934,888,897,906,1062,1100,1158,1202,1263,1293,1246,1254,1207,1106,1186,1228,1235,1393,1372,1431,1378,1291,1332,1272,1197,1182,1313,1384,1420,1367,1393,1378,1402,1578,1319,1392,1432,1464,1472,1452,1516,1473,1486,1370,1355,1382,1360,1442,1457,1416,1400,1498,1343,1325,1353,1332,1413,1471,1537,1432,1578,1509,1404,1315,1321,1336,1366,1407,1468,1427,1517,1737,1419,1350,1317,1384,1458,1405,1504,1522,1510,1486,1373,1346,1344,1329,1396,1352,1349,1391,1283,1232,1166,1093,1024,1027,976,900,826,805,714,684,673,589,555,542,537,478,508,411,411,397,332,308,282,263,241,237,212,190,196,194,168,147,166,135,109,129]
[14,39,58,44,80,70,63,100,92,126,150,179,217,295,341,430,461,542,563,675,853,1063,989,919,872,900,932,1128,1154,1309,1300,1268,1224,1237,1159,1188,1019,1199,1255,1324,1364,1427,1351,1281,1278,1215,1214,1216,1284,1366,1394,1336,1389,1359,1282,1213,1222,1253,1661,1441,1514,1457,1443,1294,1365,1320,1330,1369,1367,1479,1439,1462,1445,1455,1249,1275,1287,1330,1389,1442,1363,1490,1455,1387,1356,1277,1227,1321,1352,1446,1435,1478,1437,1381,1357,1318,1561,1338,1399,1398,1458,1515,1468,1398,1365,1314,1257,1261,1358,1362,1400,1337,1326,1259,1172,1059,1060,981,976,886,871,767,739,689,657,567,569,525,455,459,389,372,393,404,329,301,284,278,255,227,219,197,189,172,145,156,153,126,127,105]
[39,42,35,45,70,67,94,97,118,123,150,178,226,284,334,441,467,560,684,804,972,1052,1027,994,986,876,908,1013,1114,1249,1349,1307,1315,1329,1231,1110,1140,1210,1271,1351,1380,1530,1387,1300,1135,1212,1188,1196,1224,1356,1301,1338,1269,1326,1223,1226,1257,1269,1386,1414,1382,1561,1804,1371,1344,1316,1196,1330,1428,1518,1461,1452,1452,1363,1345,1302,1317,1232,1409,1378,1530,1542,1421,1407,1337,1234,1213,1283,1370,1385,1409,1404,1441,1353,1336,1303,1373,1279,1310,1790,1533,1551,1464,1361,1386,1302,1323,1347,1283,1547,1382,1433,1391,1235,1207,1151,1020,1030,945,920,879,822,738,631,617,583,541,552,497,418,417,429,358,310,282,292,303,237,229,246,220,170,188,129,151,177,131,127,124,116]
[46,54,52,51,81,83,88,95,98,132,158,184,224,297,361,374,510,652,763,903,1141,1360,1287,1152,1045,896,1107,1077,1167,1375,1556,1524,1469,1306,1207,1202,1238,1244,1276,1423,1544,1546,1507,1324,1211,1252,1155,1140,1200,1270,1376,1351,1379,1318,1228,1236,1180,1279,1370,1444,1579,1523,1564,1689,1357,1328,1297,1270,1446,1543,1639,1668,1485,1401,1325,1274,1180,1383,1433,1533,1701,1611,1530,1435,1386,1361,1269,1305,1456,1519,1528,1528,1446,1422,1305,1318,1282,1387,1428,1481,1612,1928,1383,1341,1217,1248,1280,1362,1410,1599,1644,1610,1476,1346,1244,1120,1062,914,957,862,808,718,673,620,615,514,511,445,490,435,401,345,326,293,277,249,233,228,279,202,210,174,158,160,151,136,126,139,121,107]
[35,48,50,56,55,55,86,84,114,127,148,178,195,258,322,441,470,612,777,1082,1621,1941,1851,1624,1342,1133,1043,1034,1144,1844,1922,2175,1932,1651,1455,1340,1252,1173,1315,1562,1881,1895,1960,1568,1381,1327,1224,1157,1211,1220,1512,1631,1497,1315,1280,1181,1208,1249,1381,1671,1900,1944,1768,1600,1426,1374,1558,1371,1494,1824,1916,1971,1817,1544,1495,1313,1350,1344,1491,1775,1926,2033,1807,1582,1395,1340,1258,1371,1438,1766,1884,1927,1779,1570,1432,1382,1273,1409,1478,1801,2046,2034,1837,1453,1678,1358,1283,1467,1633,2030,2222,2084,1878,1539,1357,1202,1030,959,933,866,808,735,712,651,548,553,534,470,407,430,427,382,340,318,287,271,258,263,222,208,219,204,179,149,144,153,106,107,113,104]
[45,45,39,55,63,75,82,95,101,118,171,177,243,266,319,418,522,694,864,1291,2271,2678,2596,2202,1614,1315,1094,1104,1279,1597,2304,2721,2958,2065,1682,1367,1249,1309,1400,1752,2247,2311,2295,1884,1557,1320,1189,1161,1261,1376,1785,1988,1768,1354,1281,1274,1304,1347,1480,1898,2300,2315,2178,1859,1583,1391,1352,1422,1478,2467,2373,2485,2265,1763,1506,1427,1268,1405,1588,1964,2367,2430,2100,1738,1528,1310,1360,1478,1664,2049,2355,2275,2072,1677,1533,1388,1409,1434,1609,2152,2545,2487,2131,1657,1446,1352,1376,1807,1865,2475,2851,2593,2234,1669,1453,1191,1130,960,989,884,796,684,692,625,596,576,530,480,424,410,396,363,343,307,292,281,241,229,233,211,233,191,178,161,179,141,111,123,123,114]
[35,50,41,59,61,61,77,102,111,118,150,200,230,268,322,382,515,615,827,1148,2068,2727,2914,2295,1752,1350,1136,1215,1283,1531,2244,2702,2611,2027,1707,1706,1228,1262,1421,1602,2144,2316,2158,1789,1541,1305,1189,1246,1308,1419,1667,1854,1779,1563,1245,1178,1235,1331,1377,1771,2176,2430,2113,1800,1509,1372,1336,1427,1490,1917,2274,2382,2534,1735,1449,1351,1363,1402,1560,1812,2301,2321,2210,1610,1510,1424,1292,1415,1612,1963,2390,2334,2079,1687,1433,1406,1361,1380,1541,2034,2473,2349,2110,1608,1431,1323,1305,1512,1737,2870,2672,2514,2126,1514,1413,1172,1107,1016,965,882,778,726,719,681,569,546,479,465,457,426,413,380,315,274,271,329,233,283,197,223,193,183,173,160,135,125,124,148,97,112]
[50,57,48,54,68,72,70,108,116,125,153,210,259,288,311,426,500,598,661,979,1367,1972,2038,1594,1366,1216,1042,1070,1155,1338,1736,1991,1922,1652,1479,1355,1148,1269,1617,1433,1652,1743,1627,1489,1361,1234,1196,1226,1198,1292,1357,1504,1357,1313,1209,1117,1216,1304,1355,1596,1696,1931,1726,1478,1400,1265,1321,1335,1421,1630,1794,1916,1806,1505,1359,1493,1371,1349,1416,1578,1854,1969,1708,1492,1385,1267,1257,1425,1439,1620,1805,1876,1735,1448,1313,1308,1261,1339,1516,1613,1947,1933,1702,1387,1329,1202,1355,1446,1545,1744,2099,1932,1963,1367,1206,1149,1048,942,935,804,712,693,656,577,526,476,469,474,438,382,349,341,327,303,288,237,213,185,208,198,200,179,153,144,128,128,111,120,83,124]
[29,41,61,67,65,75,81,109,116,131,174,172,221,299,346,412,528,616,700,887,1116,1427,1395,1242,1158,1015,996,1002,1123,1254,1377,1573,1444,1296,1256,1165,1134,1201,1193,1310,1649,1421,1337,1254,1227,1197,1077,1126,1208,1235,1280,1234,1188,1219,1143,1099,1150,1251,1279,1366,1470,1449,1426,1315,1365,1264,1228,1292,1375,1410,1461,1586,1535,1363,1275,1221,1249,1268,1620,1495,1635,1543,1472,1421,1315,1272,1222,1276,1359,1378,1524,1541,1465,1413,1296,1312,1256,1348,1391,1481,1538,1482,1342,1390,1251,1242,1278,1365,1389,1590,1641,1560,1393,1318,1184,1288,1044,942,913,825,764,699,594,627,518,514,494,438,408,393,364,330,316,312,295,253,245,209,223,165,179,172,141,149,121,125,117,107,88,82]
[33,46,43,48,45,74,86,86,114,142,154,175,212,267,345,458,460,491,613,681,879,1051,1098,1013,964,938,977,1070,1077,1179,1246,1312,1342,1162,1135,1027,1133,1110,1177,1252,1276,1277,1209,1254,1339,1086,1061,1107,1106,1162,1210,1196,1208,1145,1131,1102,1132,1161,1236,1281,1336,1271,1277,1263,1222,1215,1212,1212,1275,1346,1322,1368,1368,1248,1164,1145,1206,1259,1317,1378,1357,1638,1378,1310,1239,1209,1203,1156,1271,1276,1340,1327,1331,1346,1244,1183,1198,1213,1317,1428,1373,1444,1367,1286,1176,1203,1260,1281,1322,1239,1437,1399,1296,1196,1134,1051,1026,994,1105,804,780,719,657,588,550,479,448,441,419,397,347,362,345,258,265,267,247,234,235,181,156,144,146,135,141,96,109,79,78,94]
[45,47,43,56,56,82,89,89,103,161,144,203,226,285,366,444,500,529,588,697,803,920,922,886,856,850,969,987,1077,1168,1181,1150,1130,1105,1015,1018,1032,1031,1124,1110,1186,1166,1205,1080,1069,1012,1158,1028,1125,1122,1144,1114,1061,1084,1064,1014,1047,1068,1180,1229,1242,1263,1172,1230,1169,1116,1141,1146,1243,1285,1264,1211,1205,1189,1135,1194,1120,1181,1223,1305,1263,1258,1249,1307,1423,1168,1168,1192,1251,1293,1223,1249,1208,1272,1200,1122,1157,1169,1221,1354,1280,1286,1275,1293,1190,1185,1153,1188,1313,1278,1329,1269,1187,1148,1072,1025,940,938,865,795,742,844,641,524,542,448,436,378,371,356,348,299,302,305,242,244,237,174,195,184,164,128,151,113,101,121,80,83,71,66]
[33,44,54,52,58,71,81,88,93,124,139,175,286,272,341,430,487,578,625,757,888,977,929,896,847,867,879,947,1016,1059,1125,1217,1117,1025,928,966,885,985,994,1130,1113,1076,1123,1032,995,991,978,949,1009,1349,1098,1073,1010,1042,982,1025,985,1088,1113,1120,1270,1159,1229,1241,1096,1084,1075,1135,1087,1192,1167,1239,1153,1112,1156,1072,1144,1120,1239,1313,1234,1271,1251,1174,1148,1148,1144,1450,1176,1169,1236,1203,1242,1114,1080,1098,1089,1114,1250,1211,1237,1252,1244,1232,1149,1107,1154,1100,1222,1270,1298,1207,1105,1051,1046,1048,906,895,852,740,684,653,619,538,594,453,463,372,395,356,327,300,287,257,249,224,206,177,187,203,170,148,132,104,113,107,100,82,75,86]
[36,49,44,54,67,86,64,102,107,126,149,204,212,296,354,514,517,606,681,802,944,986,993,852,770,796,874,939,1044,1137,1141,1262,1142,1018,924,967,970,971,1019,1131,1137,1083,1084,1033,971,940,891,964,1035,1104,1108,1097,1285,1019,957,930,972,982,1033,1113,1159,1202,1069,1047,1034,985,1010,1088,1045,1154,1217,1237,1123,1033,1088,1061,1059,1083,1214,1236,1300,1326,1270,1162,1112,1046,1036,1038,1181,1214,1426,1216,1070,1049,1064,1052,1084,1099,1139,1247,1331,1262,1208,1058,1094,1077,1044,1031,1164,1170,1329,1233,1154,1013,1033,987,942,896,796,762,689,615,625,498,475,446,387,439,341,343,272,278,237,251,210,198,191,202,157,153,139,140,121,121,108,85,93,80,70,73]
[46,44,49,49,67,70,65,90,104,125,139,182,196,260,333,411,526,619,984,1019,1249,1366,1212,1031,942,936,879,929,1043,1183,1309,1451,1112,1032,970,974,943,965,1111,1189,1280,1312,1175,1011,964,943,920,969,1026,1031,1202,1141,1219,1051,940,1135,882,964,986,1142,1206,1219,1140,1059,1018,959,988,953,1088,1164,1227,1297,1167,1070,1066,988,1025,1092,1237,1257,1504,1504,1360,1274,1145,1012,1055,1072,1106,1207,1299,1290,1547,1180,1030,963,1048,1089,1153,1258,1399,1263,1235,1160,1099,986,1035,1077,1217,1254,1377,1322,1221,1135,1033,996,850,776,745,684,595,550,530,484,477,402,374,384,336,308,341,278,257,214,210,178,149,171,139,141,141,142,112,93,81,90,76,99,80,61]
[39,40,41,45,71,53,80,82,107,116,134,170,231,261,342,377,536,701,994,1310,1843,2633,1895,1625,1283,1069,1028,1048,1143,1470,1846,1935,1808,1389,1153,1133,949,1001,1121,1389,1657,1788,1678,1441,1142,1063,995,996,1091,1287,1585,1674,1473,1312,1128,1025,969,993,1347,1355,1587,1559,1407,1233,1093,988,1019,1009,1176,1440,1641,1714,1503,1201,1123,1078,1087,1181,1350,1652,1958,1893,1707,1537,1266,1109,1044,1109,1233,1393,1770,1625,1521,1286,1134,1044,1275,1079,1214,1574,1895,1641,1509,1185,1044,1035,1059,1183,1298,1677,1832,1672,1317,1102,1056,971,827,760,696,644,601,537,538,496,436,396,396,393,329,286,264,247,238,280,182,166,188,185,151,139,112,136,115,105,104,73,55,89,59,54]
[31,43,45,38,52,63,72,75,107,112,154,131,189,259,322,405,499,676,914,1476,2389,2975,2881,2324,1975,1318,1058,1139,1258,1821,2407,2601,2356,1955,1425,1116,989,1072,1134,1559,2104,2164,2060,1640,1267,1028,924,1032,1060,1414,1927,2002,1882,1476,1230,1137,980,960,1113,1500,2039,2426,1900,1396,1167,1081,1051,1060,1271,1661,2024,2097,1773,1379,1229,1097,1084,1248,1406,2013,2409,2359,2193,1565,1336,1083,1124,1166,1315,1816,2281,2280,1971,1488,1182,1078,1059,1119,1358,2304,2293,2164,1735,1320,1211,1102,1102,1239,1437,2003,2393,2124,1565,1230,1079,943,858,728,714,693,561,506,550,439,382,369,385,353,323,282,265,261,254,197,194,191,214,184,134,123,131,96,113,88,78,86,74,67,52,51]
[30,47,45,41,49,58,75,86,95,114,141,142,196,240,309,415,513,616,913,1395,2358,2982,3042,2337,1662,1337,1062,1317,1219,1523,2265,2591,2395,1760,1430,1147,996,1007,1136,1464,1880,2140,1972,1671,1204,1054,917,1023,1086,1363,1735,1932,1826,1444,1142,1000,916,986,1051,1375,1815,1954,1778,1408,1326,946,966,1060,1139,1511,1804,1875,1697,1367,1108,1073,1104,1172,1321,1842,2263,2300,1929,1500,1162,1043,977,1146,1236,1559,2002,2136,1687,1316,1090,1011,1030,1122,1399,1670,2168,2109,1969,1197,1102,1020,1125,1176,1446,1950,2264,1922,1440,1076,918,814,816,751,642,639,528,489,461,417,393,364,355,333,271,277,243,247,199,204,164,175,173,167,140,162,126,126,102,89,80,73,60,58,59,40]
[36,46,51,54,60,41,71,84,102,113,140,155,197,207,286,377,455,603,771,946,1438,1960,2102,1727,1381,1176,987,1011,1068,1231,1768,1864,1766,1306,1201,1052,1000,967,1055,1145,1267,1530,1453,1289,1122,1009,902,918,956,1065,1288,1424,1397,1196,1099,964,874,957,954,1052,1351,1405,1335,1171,1008,965,954,996,1241,1184,1332,1410,1346,1086,1043,961,1005,1037,1247,1376,1642,1797,1585,1269,1121,1002,926,1057,1045,1259,1377,1511,1319,1117,1026,1005,945,1024,1141,1378,1589,1711,1352,1166,1098,1248,994,1083,1234,1409,1482,1468,1201,1064,904,869,777,701,629,576,537,514,421,421,336,390,317,281,268,256,229,209,193,202,185,173,145,138,150,97,103,99,116,98,75,60,67,46,36,61]
[39,38,49,61,58,66,98,103,106,144,149,182,246,291,383,453,519,632,857,1125,1305,1437,1253,1064,1056,936,938,991,1081,1176,1630,1460,1064,985,958,921,908,964,1012,1099,1126,1070,1033,926,810,810,828,916,1055,997,1005,955,953,958,813,929,946,958,995,1065,1053,1073,990,1008,909,921,921,1146,1094,1065,1137,1090,994,952,904,905,1055,1085,1207,1175,1327,1176,1009,1003,900,969,923,1057,1139,1174,1135,1088,990,929,926,900,954,1086,1159,1277,1179,1063,1068,1085,1002,1222,974,1095,1140,1218,1183,982,938,852,830,726,666,620,565,487,450,427,392,319,311,292,258,221,221,220,183,190,167,148,143,159,131,109,105,83,70,79,102,68,50,53,46,63,30,40]
[23,46,50,47,62,67,79,73,89,104,118,177,188,200,260,343,399,459,577,653,829,955,992,1072,838,818,944,940,997,1055,1106,1146,1087,1218,917,881,891,834,846,898,952,944,959,903,866,810,769,791,828,864,912,929,1008,858,806,772,798,863,883,942,972,999,987,1023,882,892,863,825,843,953,991,1243,1021,918,838,811,844,902,896,966,1042,1049,1009,954,944,909,852,831,869,912,1027,1000,1023,991,971,903,841,875,934,1080,1115,1092,1092,1023,1002,988,991,961,1178,1053,1149,1059,1044,906,853,841,755,622,719,515,537,484,410,402,328,314,272,264,201,262,196,201,180,184,161,127,139,142,119,109,101,87,83,63,60,55,50,56,53,40]
[34,32,36,42,45,46,64,85,86,103,103,134,159,230,268,387,434,477,581,618,723,796,923,783,770,826,889,912,994,971,1037,1107,1031,908,873,818,816,895,762,827,823,781,767,771,717,691,686,708,784,837,809,842,844,818,756,731,773,718,807,871,862,910,869,868,833,812,820,757,839,886,867,865,882,908,931,754,774,841,856,936,934,904,921,874,866,825,816,791,876,910,897,987,910,931,848,826,804,874,899,966,1059,1042,1048,1069,935,942,868,882,918,951,997,1192,956,846,837,745,701,674,572,497,485,443,401,372,331,295,242,236,225,219,212,176,193,153,155,153,136,112,110,96,103,91,98,68,52,44,57,36,39,34]
[21,35,41,42,46,53,53,73,80,109,118,152,196,210,248,345,422,462,553,721,859,811,873,793,767,796,885,880,953,1062,1104,1158,1048,891,812,794,826,732,741,976,747,782,740,648,653,608,698,660,685,743,752,772,781,689,720,663,676,649,724,823,861,835,797,752,723,743,755,642,732,798,807,863,808,747,716,745,708,930,772,857,813,767,777,802,760,757,753,797,819,871,931,901,927,855,746,744,794,847,1027,1096,1061,1151,1088,1019,977,820,901,898,930,935,916,981,926,856,946,702,634,637,576,496,443,438,387,374,291,275,253,210,172,182,148,191,168,151,146,145,120,122,107,78,82,74,71,78,61,56,41,36,41,39]
[30,37,32,54,54,66,56,75,91,87,102,131,171,229,257,331,428,572,640,828,933,1012,1048,909,779,743,838,871,1021,1175,1339,1271,1259,1068,947,787,759,695,745,774,791,784,916,627,586,625,577,591,669,761,811,787,747,652,620,636,688,644,753,769,816,819,799,739,688,639,628,664,749,741,812,891,835,764,689,674,640,688,758,802,1010,877,732,669,662,703,679,801,898,942,980,1027,987,842,745,747,743,877,1041,1226,1323,1365,1284,1172,1032,885,793,841,947,978,1090,1020,953,892,782,743,663,707,555,460,425,414,356,330,271,274,217,219,187,158,157,147,122,145,128,107,116,103,92,72,81,72,69,52,59,66,57,41,34,26]
[23,40,39,46,34,53,63,60,71,74,100,141,166,203,241,287,431,602,827,973,1447,1520,1359,1070,888,862,818,959,1230,1441,1712,1863,1712,1338,1184,898,798,687,768,803,964,886,849,688,664,737,606,640,803,836,961,980,878,776,695,647,582,672,848,970,1097,1109,1034,850,720,663,600,651,772,953,940,968,837,765,682,644,680,653,823,835,895,934,899,956,703,648,696,816,911,1083,1345,1281,1105,1004,825,793,865,1082,1282,1707,1964,1847,1695,1343,1222,999,925,957,1089,1335,1424,1379,1152,1060,836,735,597,521,535,468,470,328,332,318,270,227,228,188,180,151,126,121,129,111,120,81,111,82,72,72,79,61,53,43,47,48,38,52,32,38]
[30,34,37,43,54,62,48,68,73,90,100,145,130,188,225,344,401,681,938,1442,2070,2362,2126,1679,1260,1019,951,1081,1359,1873,2498,2730,2255,1782,1335,1075,863,785,887,960,1300,1435,1296,908,750,569,592,656,951,1241,1582,1495,1349,985,791,730,664,713,873,1376,1800,1706,1526,1195,846,684,661,718,851,1187,1535,1616,1271,979,773,679,678,677,768,1148,1486,1572,1209,896,774,842,743,844,1034,1582,1853,1960,1476,1198,939,874,915,1200,1682,2351,2695,2359,2043,1617,1325,971,880,1003,1319,1852,1994,1823,1489,1130,942,688,512,489,428,410,359,348,272,324,262,227,185,167,159,144,133,103,110,114,89,85,68,87,74,57,55,54,48,47,32,42,42,44,28,29]
[31,31,42,42,45,57,56,61,68,73,85,106,129,152,219,285,339,627,1008,1739,2647,3122,2801,2116,1652,1158,928,1107,1392,2243,2917,3197,2811,2083,1568,1177,839,784,853,1107,1649,1819,1635,1146,780,631,537,571,764,1094,1881,2261,1717,1150,830,628,577,687,874,1566,2107,2096,1910,1275,919,695,623,646,890,1280,1958,1840,1599,989,767,589,596,672,793,1224,1737,1735,1295,958,744,628,667,871,1228,2303,2520,2467,1877,1292,955,757,961,1209,1925,2858,3386,2963,2380,1746,1316,1007,944,1098,1622,2402,2904,2384,2006,1212,880,615,533,464,430,361,363,304,266,228,216,199,203,165,156,125,126,118,80,86,88,76,66,56,54,58,51,61,41,29,26,31,14,17,25,21]
[26,33,36,31,31,43,42,49,49,91,105,101,120,154,171,258,298,544,723,1317,2313,2668,2738,1952,1589,1168,941,984,1229,1732,2519,2912,2636,1967,1584,1079,748,689,740,867,1128,1469,1382,959,751,517,486,520,642,909,1369,1569,1581,1083,939,546,453,543,722,1161,1588,1757,1447,1047,717,573,483,535,684,900,1389,1430,1244,766,686,493,461,473,730,940,1399,1389,1044,769,615,496,518,715,978,1434,2053,2477,1539,1028,846,704,802,1141,1579,2439,2905,2714,2235,1531,1125,836,834,1041,1382,2116,2729,2338,1767,1099,726,516,430,415,371,331,276,242,231,228,174,156,142,134,128,159,107,84,102,78,74,79,58,61,51,52,51,47,40,33,37,24,20,24,30,19]
[32,24,37,37,30,55,42,56,42,57,68,96,111,136,144,193,236,324,474,696,1599,1706,1722,1264,1182,870,742,766,896,1159,1621,1922,1878,1440,1097,771,695,581,591,634,716,890,791,617,558,463,444,405,543,573,741,875,852,688,544,485,414,496,467,699,829,994,763,636,518,448,384,417,525,633,755,792,676,554,462,386,418,429,485,659,761,795,628,530,437,473,440,572,708,872,1174,1100,1021,752,756,598,637,876,1129,1464,1891,1824,1535,1020,789,630,610,737,943,1278,1557,1553,1134,672,503,425,372,323,305,293,267,257,200,171,141,163,115,124,120,110,101,83,101,65,52,67,56,57,56,42,44,33,43,29,24,30,24,26,16,19]
[19,28,44,31,39,36,40,45,55,51,82,70,103,120,141,155,221,302,370,473,729,855,1221,914,778,629,585,559,699,810,1036,1103,1106,989,754,600,489,430,479,509,532,588,561,477,432,386,365,370,417,454,546,593,542,470,458,392,347,380,352,486,726,630,557,434,431,341,314,317,366,498,506,519,482,401,357,318,329,342,408,442,534,549,488,428,408,374,380,423,520,689,757,724,703,572,518,458,450,661,722,1004,1149,1094,1000,734,564,500,493,509,699,807,883,875,621,492,439,329,275,257,261,234,219,228,190,160,141,145,109,100,90,89,80,74,77,55,58,69,53,44,44,38,40,39,37,29,24,20,15,22,20,15]
[19,34,33,28,29,31,43,54,50,60,69,65,102,115,124,146,172,210,289,335,477,554,629,572,567,488,573,495,583,675,753,787,735,691,556,482,405,423,377,391,435,407,423,373,347,364,294,337,337,334,393,441,392,378,334,316,280,338,303,336,394,442,390,426,314,257,249,269,282,321,412,377,366,334,300,255,303,286,306,316,408,396,385,405,363,315,326,390,411,501,559,587,549,453,399,406,423,426,522,643,909,761,684,506,488,417,406,421,496,568,597,585,573,404,329,324,273,250,223,199,208,170,131,151,106,96,103,83,90,71,81,69,54,56,55,46,35,44,44,31,32,26,37,31,23,25,20,14,20,10]
[16,29,27,33,37,43,49,42,53,52,53,74,97,90,123,116,174,184,222,257,321,360,447,409,421,426,428,448,501,525,556,605,560,523,460,402,340,402,370,343,331,351,370,335,288,273,261,273,291,314,305,342,307,286,302,272,276,277,287,280,318,326,343,286,225,225,259,237,248,255,294,280,254,263,261,198,237,270,293,303,357,315,313,272,285,297,311,323,366,398,429,465,447,438,376,408,408,374,459,489,514,526,512,586,394,372,415,388,408,402,378,429,362,305,280,262,228,210,167,173,145,110,127,100,95,106,88,82,62,68,69,65,64,54,37,45,41,40,35,27,40,25,30,25,17,9,19,16,9,14]
[23,19,26,27,26,33,32,43,55,51,56,62,83,86,91,118,124,147,176,210,240,283,268,292,285,319,332,382,414,429,416,531,375,406,375,333,306,293,316,341,351,291,250,327,242,238,229,265,251,267,282,262,263,243,218,219,237,240,251,255,250,238,248,233,210,222,226,218,269,218,252,224,230,219,196,223,244,239,230,261,273,243,283,270,276,290,275,312,288,319,374,380,384,358,338,325,370,372,407,386,418,427,400,419,370,371,436,314,314,327,289,334,301,230,226,210,199,186,218,149,155,126,128,111,80,82,85,78,63,73,67,50,43,44,54,44,40,30,33,41,31,34,27,18,24,16,13,13,12,15]
[15,20,16,19,23,24,42,45,51,42,55,72,56,84,86,89,121,128,154,163,196,186,241,237,235,264,289,300,338,333,359,349,303,295,372,311,316,268,267,262,248,242,250,236,239,229,252,208,225,262,238,243,230,213,197,234,220,210,219,231,237,231,237,191,189,199,164,174,185,190,187,252,183,169,192,170,167,162,190,199,228,232,239,244,216,225,260,244,232,287,284,284,288,307,274,271,300,280,311,324,333,293,301,272,305,283,269,250,249,278,275,250,233,219,199,186,164,165,136,154,114,112,98,78,93,95,64,68,48,38,57,34,41,41,46,39,32,31,28,19,26,34,14,13,26,13,23,14,9,9]
[20,22,27,22,28,23,30,35,41,44,43,61,53,77,86,93,81,127,112,123,160,170,164,216,220,215,237,251,247,277,279,289,267,237,228,274,250,290,230,231,204,224,218,207,201,186,216,190,183,185,186,207,207,162,195,168,172,184,180,186,160,188,176,168,162,153,141,158,165,152,164,165,164,152,198,161,152,160,170,177,195,210,165,186,195,205,195,190,242,241,254,272,250,268,232,223,211,243,261,255,260,281,260,225,249,261,245,247,251,238,200,212,235,173,187,167,149,147,145,120,126,102,78,74,76,64,55,51,56,64,49,42,44,35,35,28,35,24,18,31,20,19,22,23,14,11,12,17,14,18]
[22,21,22,24,29,25,32,26,46,43,42,63,58,68,81,77,94,124,116,130,135,140,149,165,171,193,207,198,189,216,219,227,192,231,180,182,207,190,219,206,194,137,182,166,154,152,176,145,172,157,144,139,145,138,136,170,145,141,134,134,151,156,156,146,148,133,112,134,129,138,152,132,125,134,136,183,148,119,161,150,135,187,148,159,151,146,167,182,206,221,183,188,185,191,192,201,210,207,203,219,215,194,230,211,222,201,229,181,200,192,197,176,145,201,117,113,125,124,104,93,90,87,80,77,50,59,53,50,37,49,32,30,31,32,25,32,19,15,16,23,30,19,18,17,12,21,25,13,16,8]
[21,22,17,25,28,20,28,31,36,36,36,44,51,52,49,72,73,68,107,92,91,107,136,120,137,133,134,136,160,176,163,192,152,157,158,162,152,142,168,199,176,176,155,131,141,150,163,125,129,152,129,116,144,146,123,110,133,106,121,148,120,121,119,141,163,114,113,122,121,126,145,116,124,112,121,125,128,131,160,148,125,149,131,127,131,138,128,142,167,174,159,150,160,175,148,145,170,160,169,198,189,157,169,193,161,162,171,193,163,176,161,148,141,116,127,134,113,118,88,78,73,85,59,68,51,62,64,55,52,45,30,43,34,31,32,27,33,40,22,28,24,17,16,11,21,8,10,12,12,11]
[14,13,16,22,26,21,25,29,20,37,41,41,46,48,51,66,69,68,63,77,98,82,102,97,111,131,116,157,135,132,129,148,142,128,123,126,128,150,132,122,102,137,142,139,151,114,126,128,118,104,111,123,100,116,107,102,95,108,102,96,110,100,114,102,87,97,100,81,95,109,92,99,115,102,98,104,87,110,95,97,105,138,118,103,123,99,136,120,125,132,143,127,141,141,141,145,136,142,132,148,127,168,144,143,156,142,138,143,146,123,140,130,123,118,92,117,103,88,111,80,73,61,71,62,65,59,56,37,49,40,49,32,27,28,27,20,26,29,19,21,14,19,14,16,14,28,18,15,8,6]
[31,14,11,22,14,16,22,29,37,27,31,41,52,36,37,48,63,69,90,80,100,84,98,95,114,99,95,108,122,127,117,129,110,114,128,124,132,139,83,119,128,109,98,104,116,113,142,112,106,97,107,92,85,108,90,100,108,82,99,77,91,104,84,81,92,106,80,86,96,98,93,78,84,97,101,99,91,93,98,98,114,117,105,98,120,117,111,109,104,101,127,136,120,132,125,140,122,129,123,137,129,137,134,123,120,117,125,112,142,128,121,98,109,105,100,76,94,73,96,60,59,47,56,56,53,49,47,43,30,40,36,31,24,30,21,20,23,21,20,21,30,16,12,20,9,8,10,5,11,10]
[21,22,19,28,23,21,17,25,13,40,35,43,42,37,41,36,43,38,72,69,68,70,78,85,88,100,79,110,101,90,117,109,96,96,109,113,110,109,100,121,91,121,108,93,99,106,91,101,83,100,119,90,75,77,94,78,91,87,83,95,77,74,63,81,91,73,77,69,68,93,87,69,72,90,85,86,79,68,67,63,105,80,88,73,80,71,110,87,105,108,116,116,116,104,106,99,97,105,115,113,104,114,106,110,87,104,109,106,90,111,93,100,100,83,92,74,69,69,69,47,54,38,57,55,47,54,44,36,32,38,39,30,30,27,29,18,26,17,25,17,17,19,10,16,19,15,20,18,6,9]
[18,11,14,15,19,22,21,29,24,25,29,32,37,36,48,51,53,46,54,56,58,73,74,69,76,78,80,80,85,75,93,84,100,93,84,105,77,88,79,93,87,103,97,85,87,80,91,94,82,86,69,78,98,81,72,86,86,71,76,94,91,66,63,73,82,91,69,63,65,73,80,69,72,72,72,76,74,64,76,75,63,81,81,77,77,84,85,94,88,114,97,76,91,85,79,94,88,86,87,101,83,119,91,106,111,100,91,97,100,84,81,79,86,78,77,53,69,71,59,71,54,56,43,48,41,48,34,47,19,31,37,35,24,31,21,23,21,24,19,14,11,12,10,11,10,17,13,8,8,10]
[15,12,21,19,16,12,21,24,18,23,22,19,25,37,39,36,33,47,62,51,59,68,64,64,67,62,81,91,71,72,69,89,72,87,75,72,75,81,92,79,76,68,57,67,95,95,91,61,74,82,76,78,74,72,86,98,69,65,69,74,70,77,73,78,79,75,55,62,72,53,59,79,59,61,59,75,68,55,77,73,61,63,76,84,68,78,91,73,73,65,96,86,89,76,78,96,83,95,84,97,94,78,97,94,90,77,86,74,86,75,80,74,75,72,63,65,73,69,56,40,50,47,40,35,25,42,33,35,36,42,28,24,23,29,19,24,21,21,19,16,19,18,14,12,13,15,22,10,10,8]
[11,13,16,21,25,12,17,24,31,30,25,23,26,27,39,28,28,49,42,43,70,54,48,51,59,50,69,62,65,73,65,78,72,68,81,75,68,57,65,62,69,60,76,69,88,78,83,62,78,63,61,66,77,55,81,56,54,64,78,72,70,78,61,58,57,62,60,51,51,42,78,62,52,73,47,65,63,54,58,55,68,69,69,72,67,58,67,83,70,60,75,80,74,79,68,93,83,74,79,84,69,80,75,74,88,52,65,73,77,80,52,66,47,64,58,55,44,70,49,40,35,39,29,42,41,31,22,28,36,28,19,26,22,23,21,20,19,14,16,13,12,14,8,15,6,13,9,11,5,11]
[11,16,20,13,20,25,20,17,21,24,23,18,26,25,26,33,28,39,36,42,31,44,61,47,54,54,51,47,50,59,62,43,55,62,62,57,63,60,61,52,52,69,62,80,69,54,67,75,58,71,66,51,60,58,51,62,53,58,58,38,44,85,41,68,55,72,54,45,75,57,46,65,47,55,46,46,45,58,51,54,54,61,70,67,60,61,63,57,60,79,79,65,57,64,73,52,59,64,67,60,66,73,57,54,67,59,65,64,56,58,61,48,64,53,43,29,52,36,42,32,44,35,30,27,33,25,25,29,26,28,21,22,37,24,27,25,25,18,11,11,16,4,11,17,7,8,14,16,11,6]
[7,12,11,25,19,19,20,16,17,14,19,32,21,28,31,31,21,39,24,39,39,37,30,41,40,49,65,49,42,45,39,50,45,47,54,64,59,62,74,52,57,55,63,36,62,55,56,49,53,56,44,64,56,47,55,33,52,55,57,52,58,49,52,64,57,47,47,44,56,40,54,46,55,47,51,42,47,57,58,43,52,38,55,57,60,67,53,48,63,59,59,55,65,64,77,64,54,56,73,48,57,74,38,57,54,59,49,57,51,54,53,52,57,58,47,40,44,35,36,32,33,36,43,31,23,27,21,32,24,24,23,20,22,22,23,19,14,24,18,12,15,13,7,13,11,8,11,8,10,15]
[10,12,9,15,6,18,14,10,19,14,18,19,28,27,18,24,25,20,28,33,43,34,42,45,41,27,45,48,56,52,27,48,43,54,49,47,56,42,52,39,42,41,48,53,48,46,52,57,53,63,55,49,58,49,53,50,52,53,38,48,37,43,50,50,51,54,47,54,45,50,51,55,39,48,48,43,52,41,46,57,41,55,48,43,44,54,36,52,55,51,44,38,43,58,45,54,66,37,57,41,45,45,67,58,65,54,40,42,41,44,54,45,64,56,32,40,41,45,46,28,34,30,23,23,26,17,25,16,25,14,18,19,23,25,20,19,14,14,15,9,16,18,13,10,9,10,7,14,10,6]
[6,22,11,24,16,15,18,15,17,12,23,21,23,29,22,27,35,20,28,24,37,41,34,43,35,41,27,31,30,36,45,40,55,49,38,40,66,45,45,48,42,45,53,41,36,53,42,43,54,45,46,46,47,47,39,43,35,53,39,50,48,49,49,48,51,45,45,37,44,27,43,42,49,46,34,48,40,44,42,48,53,38,47,43,46,37,44,51,43,56,43,55,47,55,36,38,50,36,48,51,45,53,45,41,44,39,38,48,49,35,60,41,33,44,33,42,30,32,28,25,28,24,25,33,25,23,21,17,20,31,20,26,19,17,13,16,9,17,24,7,11,13,14,12,10,14,8,11,10,13]
[13,16,14,10,16,12,11,16,13,24,22,24,21,19,26,31,25,27,23,20,36,32,25,33,39,35,25,45,29,46,36,35,42,31,35,41,51,21,37,40,44,43,46,50,44,38,33,41,41,45,42,40,38,39,41,32,29,32,34,38,34,43,34,43,43,30,34,27,37,46,41,33,37,49,36,37,49,36,36,34,38,40,25,41,40,37,40,29,43,44,53,44,41,31,28,46,28,31,43,41,40,57,36,36,40,37,30,41,46,42,42,28,30,41,28,25,34,19,34,38,22,24,24,19,32,25,18,16,15,20,20,17,16,19,4,11,10,11,12,14,11,8,17,8,8,5,11,10,10,12]
[13,13,14,10,11,11,17,22,19,19,16,25,13,28,15,32,18,27,18,21,30,24,28,27,24,28,31,31,38,35,30,39,31,34,33,37,41,40,36,46,33,45,38,35,36,41,30,45,39,47,45,32,42,44,37,22,43,38,45,26,34,29,42,44,38,47,35,33,36,38,40,35,32,33,31,36,44,38,35,25,35,37,36,32,41,31,52,36,45,31,50,42,38,44,48,43,45,30,48,46,36,35,49,41,41,28,33,28,39,31,36,40,26,40,39,21,25,26,24,27,17,25,25,19,20,22,30,22,12,7,15,18,13,17,11,13,19,13,12,12,7,10,6,14,9,6,10,12,9,11]
[14,10,16,7,10,22,13,18,18,18,21,12,21,20,12,21,17,18,16,23,25,20,27,22,26,24,20,25,29,37,28,30,32,22,34,27,32,27,34,35,37,18,46,42,43,33,38,36,46,19,36,34,37,38,29,35,34,41,27,41,34,36,37,37,37,36,30,32,34,32,35,37,37,28,35,41,42,37,37,44,34,33,40,42,35,40,27,45,34,39,38,37,33,40,25,24,37,34,29,32,34,30,20,29,27,26,25,30,24,23,23,31,28,18,23,24,27,25,21,22,20,19,21,24,12,19,25,22,24,12,20,10,20,12,23,10,12,14,10,9,11,14,8,14,5,6,6,12,7,10]
[12,6,8,8,12,12,12,9,17,17,12,12,9,20,18,19,23,15,21,16,19,24,25,24,18,23,24,27,26,26,29,23,29,25,28,18,34,23,24,32,26,25,30,33,32,42,35,30,29,32,33,24,34,34,31,32,31,26,34,30,31,24,32,24,28,28,26,26,25,36,29,19,24,31,23,30,37,37,42,27,32,40,34,31,32,30,33,24,34,41,36,29,39,28,23,33,33,23,26,27,27,18,28,24,24,19,23,22,34,27,27,28,20,24,23,19,22,26,27,19,21,14,17,19,25,13,21,10,17,14,14,19,18,14,20,8,13,7,9,8,19,17,10,14,3,9,6,10,11,4]
[7,9,9,11,13,14,10,10,16,13,13,19,9,16,18,12,20,22,21,21,27,24,20,25,25,33,19,28,25,20,28,17,33,29,28,22,33,29,18,25,12,34,33,33,29,20,27,27,20,47,35,30,38,28,24,23,38,30,27,21,23,24,26,32,27,24,20,38,24,30,24,27,21,29,33,25,35,24,23,35,26,33,25,30,27,30,33,35,29,27,32,30,35,34,35,33,30,26,35,25,31,28,27,32,26,25,20,39,25,24,22,16,24,21,23,27,16,12,25,17,15,19,14,19,18,13,21,16,16,21,11,13,11,10,10,13,10,11,8,16,4,9,14,12,11,14,9,9,5,7]
[8,15,16,12,15,11,15,7,10,11,12,14,15,12,19,9,24,12,15,11,22,16,20,27,17,14,21,20,23,22,29,31,32,27,20,27,26,30,31,24,29,33,30,27,31,26,39,28,19,21,34,22,38,30,39,28,26,23,38,25,32,33,24,27,32,27,29,28,36,29,23,37,23,20,27,31,24,31,32,23,32,36,23,28,31,24,28,26,27,36,29,34,38,33,27,18,32,37,28,25,42,32,25,27,37,26,23,20,22,20,19,25,21,14,20,21,21,21,23,19,21,6,19,14,12,21,15,9,19,13,10,13,18,14,14,14,12,10,16,6,11,12,13,12,3,7,8,12,10,7]
[10,11,17,8,15,13,7,11,12,10,13,12,12,22,13,9,11,17,15,12,21,22,20,16,12,22,26,14,26,26,16,26,31,20,30,23,33,23,23,26,27,25,22,27,20,29,33,24,26,25,28,28,33,25,25,21,19,37,28,25,28,24,23,19,26,20,30,19,22,18,31,15,30,19,18,36,33,19,24,19,35,36,27,22,35,35,19,30,23,25,31,21,24,21,25,20,21,14,24,24,26,21,21,28,24,27,16,23,23,14,24,28,21,24,17,17,13,14,25,17,19,18,21,21,15,17,12,12,12,17,13,15,11,11,11,12,11,10,14,6,9,6,6,10,6,9,13,8,7,6]
[13,11,16,6,10,10,10,8,19,6,9,10,12,14,8,14,12,16,11,11,14,14,11,18,29,16,25,22,22,15,21,17,14,16,28,25,24,23,13,22,29,32,26,29,24,23,26,19,29,29,15,22,22,22,15,26,23,24,17,23,13,24,19,24,25,18,23,20,25,20,16,35,27,24,27,20,26,26,23,19,31,16,28,20,30,30,28,14,29,29,20,16,34,22,21,35,27,28,16,22,23,23,27,17,18,25,22,19,24,22,23,19,19,17,17,18,22,19,13,17,14,8,12,13,12,12,10,18,11,5,8,13,16,14,10,12,14,16,14,5,9,12,9,6,8,8,10,8,8,4]
[8,8,8,4,15,8,8,8,6,7,21,8,14,27,10,14,14,13,20,16,16,16,5,15,22,24,13,21,18,23,21,20,22,22,16,20,23,21,24,18,18,17,23,19,18,21,22,19,31,24,17,21,13,30,21,20,21,24,20,22,25,20,27,17,19,19,21,32,22,21,18,29,20,19,23,24,23,27,21,22,24,20,22,21,21,21,21,19,26,23,29,18,26,27,27,25,14,22,24,20,13,25,26,17,22,12,20,19,13,17,14,18,14,17,9,17,16,15,19,13,14,14,19,19,8,10,11,25,11,12,10,16,10,9,10,10,8,7,15,9,15,6,8,8,8,11,6,10,10,8]
[7,10,15,7,13,11,9,12,12,13,16,14,11,17,17,16,11,6,20,19,12,15,15,11,14,10,19,16,11,18,21,22,24,18,17,21,18,20,18,17,15,20,19,21,19,26,18,22,20,25,27,14,18,13,21,17,16,21,24,15,21,20,27,19,20,21,25,21,23,27,17,20,23,19,23,17,25,10,13,32,17,34,26,30,20,21,31,30,19,19,17,32,26,25,24,17,18,19,21,10,18,17,21,14,30,20,25,22,14,27,7,19,15,18,13,12,21,12,9,16,13,17,11,13,18,12,13,7,9,10,18,14,12,13,13,10,15,6,8,6,15,8,7,7,8,10,11,9,10,8]
[8,11,11,12,9,6,10,11,8,10,15,14,9,8,11,17,14,14,8,14,15,11,12,12,28,15,13,23,17,17,14,20,12,21,16,13,15,22,20,12,15,15,16,25,25,27,15,28,16,21,6,20,19,26,15,15,23,26,28,22,30,14,16,26,22,20,20,21,18,19,20,22,8,23,14,21,20,12,24,20,17,21,20,25,9,20,20,17,12,19,19,16,30,17,12,13,16,19,15,10,23,19,18,15,17,12,17,14,17,14,16,10,17,6,24,8,11,10,11,14,16,11,18,17,14,9,12,11,14,13,11,17,14,6,6,9,5,8,11,8,4,4,9,9,5,6,11,13,10,5]
[7,12,4,3,10,9,11,4,11,6,11,6,15,12,11,7,14,12,18,14,7,7,6,12,13,19,15,16,12,16,18,20,13,16,15,14,25,17,19,10,25,17,23,18,17,16,15,23,17,13,30,17,18,18,17,16,19,19,30,26,14,25,14,13,16,14,28,19,29,15,23,18,17,16,22,20,15,20,27,18,23,14,20,20,23,19,14,17,19,21,19,18,14,22,13,17,27,13,22,20,14,13,14,13,13,15,20,18,14,20,23,10,15,17,12,13,19,14,11,14,12,14,17,12,7,14,11,15,12,12,12,9,8,15,14,11,16,9,14,8,15,8,10,7,4,16,6,14,9,5]
[10,9,7,14,12,12,7,14,10,11,8,12,9,15,8,14,16,11,9,13,10,11,15,7,16,8,11,10,15,11,16,20,13,12,15,17,11,14,24,14,18,14,10,12,13,20,18,19,8,19,19,19,20,20,17,13,22,23,12,24,16,19,16,21,18,17,16,14,18,22,22,18,15,21,24,22,17,22,16,15,13,19,16,16,17,10,18,23,20,16,19,17,10,18,18,15,13,9,19,23,16,27,16,10,11,10,21,13,14,21,11,14,10,10,14,14,11,9,9,9,12,10,12,9,10,15,11,11,10,11,10,14,9,11,10,10,9,8,7,3,5,5,7,11,5,10,13,3,7,8]

{"sheet":"Figure_1D_layer_4","index":4,"n_rows":150,"n_cols":150,"rows_kept":150}
[10,7,8,11,18,14,5,12,19,19,23,19,25,34,34,41,50,50,59,59,60,68,82,78,86,86,95,140,102,112,133,149,161,150,196,197,205,174,190,205,213,239,249,234,235,226,256,234,256,283,242,257,302,282,318,303,287,298,284,294,277,280,292,318,285,319,302,298,292,324,304,355,327,294,349,321,336,351,357,328,365,335,354,328,341,333,322,361,341,324,319,322,321,362,386,305,315,318,313,307,351,336,311,302,321,327,316,315,302,343,261,320,300,299,261,265,289,260,263,254,254,245,236,258,198,230,204,216,219,179,191,189,194,174,166,166,154,145,158,151,159,142,120,102,117,104,109,96,93,91]
[11,6,7,5,11,13,15,26,19,26,22,23,39,24,38,34,49,49,61,60,68,87,91,105,107,101,101,141,155,127,155,154,188,177,194,214,214,234,231,238,222,246,259,263,231,267,263,283,250,274,284,298,334,324,299,305,292,342,342,324,331,386,339,303,332,348,349,353,376,370,360,350,296,365,442,349,344,341,391,360,330,378,412,364,384,322,372,396,368,380,392,358,336,356,345,332,344,350,332,372,341,364,348,359,365,360,322,341,317,328,294,400,310,309,266,290,292,241,265,260,255,248,263,259,249,240,254,203,219,173,203,162,168,181,166,169,171,136,143,122,139,124,101,139,139,122,116,121,84,118]
[12,9,16,17,12,17,11,9,21,22,26,27,30,37,40,34,54,43,69,63,81,92,105,86,117,105,128,148,149,162,158,182,188,201,212,186,201,250,236,245,297,258,277,283,258,297,269,279,318,300,300,292,302,311,335,313,329,348,359,350,348,340,341,362,344,372,357,363,359,377,372,396,370,354,366,378,345,423,383,356,348,388,400,402,348,386,389,376,404,373,390,340,366,375,361,336,337,364,324,342,360,380,351,354,340,328,337,365,335,324,371,370,305,328,354,311,306,309,284,265,297,275,265,275,235,260,241,235,208,219,197,185,200,231,171,181,167,141,173,149,169,159,153,123,132,116,115,132,137,109]
[6,7,12,13,18,13,15,17,23,19,21,28,33,40,41,43,68,60,74,94,86,90,112,121,135,135,137,156,159,165,191,182,200,225,237,236,248,245,240,311,262,290,314,358,286,287,279,314,305,294,328,319,322,352,374,376,333,354,354,374,386,359,401,403,394,390,390,423,396,410,416,360,408,425,390,368,395,401,407,374,492,388,419,370,435,414,423,405,409,409,402,404,397,389,383,402,414,400,425,397,357,385,388,403,367,385,376,371,381,371,362,336,349,349,341,358,319,366,305,292,310,285,280,276,249,261,249,254,226,223,235,233,210,191,204,194,166,178,183,152,153,152,149,147,140,135,104,123,120,109]
[8,12,12,10,14,13,16,27,24,25,34,40,32,27,42,45,56,56,68,95,89,106,119,125,133,129,168,172,170,196,182,209,196,233,263,238,234,263,266,286,295,291,315,326,316,389,354,337,352,340,340,344,344,411,361,390,381,406,386,407,372,404,366,396,377,428,386,407,391,429,421,465,395,407,432,445,450,453,413,434,426,421,424,493,386,412,416,445,449,455,433,427,425,439,406,384,387,412,410,411,410,404,429,402,401,381,414,397,390,397,369,364,356,352,345,340,364,320,329,302,376,278,299,284,251,275,261,270,245,241,229,214,220,208,185,195,211,176,146,176,171,177,155,158,136,118,135,105,95,82]
[4,10,11,14,9,14,12,14,20,25,22,29,38,59,49,56,63,75,74,102,96,125,103,120,155,152,144,193,171,191,219,237,247,251,260,268,253,298,295,320,308,318,322,342,341,356,349,365,432,354,383,381,357,409,398,401,371,409,408,421,392,436,408,406,424,411,408,447,448,455,479,461,416,417,451,459,449,447,441,449,461,471,463,474,466,562,422,435,468,469,424,440,416,454,426,406,438,456,440,395,396,454,441,430,472,390,378,415,415,396,419,427,403,380,386,370,341,345,360,324,304,298,299,366,279,267,260,268,230,242,254,242,194,208,196,193,196,193,165,171,149,157,168,141,131,137,120,130,116,97]
[4,16,20,10,11,19,14,15,26,28,28,39,41,57,56,62,76,94,104,98,131,111,150,156,156,151,198,173,219,236,224,269,242,261,299,294,303,314,314,312,344,352,329,394,345,395,353,374,412,431,403,532,397,435,415,404,409,414,456,447,478,463,433,439,428,443,437,453,472,462,456,457,453,456,477,441,480,473,470,489,467,526,505,512,475,500,484,499,591,486,492,445,443,500,493,432,474,478,487,464,457,423,430,413,457,443,395,412,438,458,414,437,414,437,410,394,359,359,353,317,345,339,313,308,306,284,356,253,249,260,229,238,243,221,190,219,199,188,179,167,142,159,141,145,137,147,126,113,128,97]
[8,8,16,27,17,16,24,19,20,35,30,40,51,38,71,70,83,105,106,105,128,138,144,189,200,186,180,210,182,254,235,275,270,291,302,301,310,332,341,381,395,374,374,363,408,392,418,401,398,432,433,453,413,452,510,430,475,444,427,486,477,501,470,428,490,457,479,503,493,508,488,523,523,490,503,464,485,485,529,527,548,534,526,491,538,431,484,494,501,500,498,614,491,472,451,480,507,473,514,497,450,504,490,462,436,435,481,408,448,445,489,439,399,436,412,403,400,378,329,355,336,337,352,348,306,320,302,261,292,336,244,252,220,241,214,222,228,218,204,178,173,169,130,165,144,136,123,138,116,111]
[8,7,15,14,16,9,18,23,22,28,36,38,45,64,75,87,86,90,111,137,133,136,189,179,162,217,206,231,212,276,278,283,287,304,346,321,331,357,380,407,370,389,399,403,426,429,429,433,465,434,446,465,463,478,458,491,464,576,480,555,445,490,489,542,488,529,562,547,543,582,524,556,555,546,563,527,552,518,563,569,522,570,556,523,556,515,532,538,551,494,509,485,519,571,527,474,484,553,526,491,522,520,492,413,478,438,458,486,456,471,481,428,492,380,408,413,375,416,428,370,370,382,338,376,340,320,301,325,311,289,265,305,233,218,215,214,215,204,205,188,175,149,151,148,170,125,128,112,121,109]
[11,11,16,13,8,22,20,27,30,26,45,53,44,68,86,78,91,104,116,134,151,193,181,189,216,241,224,252,245,300,311,290,310,362,358,369,361,393,388,370,394,415,396,438,460,436,458,466,461,497,464,504,525,513,534,504,520,525,625,580,553,512,537,554,537,578,573,572,578,568,543,560,558,603,527,535,561,555,547,553,596,566,545,548,564,591,604,549,552,575,539,490,557,543,516,661,559,568,530,513,466,498,502,504,542,488,503,490,539,490,536,495,449,475,448,428,450,385,416,385,397,391,356,341,367,334,332,327,296,319,261,295,253,303,238,209,224,198,206,157,171,172,162,156,148,129,119,145,126,102]
[11,17,21,19,15,25,19,24,34,29,39,54,71,51,93,90,101,110,143,133,143,165,193,252,226,230,283,291,253,307,326,359,366,351,362,394,408,409,425,439,449,462,461,457,478,497,512,466,525,552,518,498,498,551,534,547,536,550,582,565,537,692,543,608,600,629,570,619,575,563,578,567,596,645,553,575,627,597,624,565,582,584,593,583,616,604,592,647,578,576,595,594,606,556,561,574,588,539,651,578,552,520,524,481,538,552,516,516,526,511,498,439,465,509,456,477,479,442,443,460,393,374,370,365,359,315,342,295,310,265,285,295,258,243,273,272,225,205,221,201,190,159,168,144,150,169,129,133,120,116]
[9,18,19,16,14,22,27,34,30,43,37,43,63,52,75,114,94,119,153,164,158,160,199,210,251,237,349,286,314,306,326,371,365,384,407,418,421,429,412,480,456,475,507,539,525,491,499,501,546,536,541,562,563,585,573,547,559,571,580,601,571,616,562,562,679,624,570,633,637,626,636,620,645,612,622,606,620,638,615,660,606,599,646,597,570,629,623,640,585,608,567,594,600,634,580,632,576,612,561,582,562,705,535,550,591,534,528,486,567,523,515,518,468,455,514,476,461,459,454,403,449,387,403,381,367,339,345,319,327,294,272,270,285,276,239,259,222,218,263,205,202,169,173,147,168,169,133,117,117,126]
[12,16,13,17,26,22,32,25,43,48,47,49,79,65,92,96,127,131,152,157,190,224,228,230,248,257,259,288,372,429,374,424,408,459,413,453,425,449,458,471,508,544,555,524,588,527,593,537,589,558,620,585,588,583,636,609,610,615,622,635,598,637,594,616,641,697,817,684,724,656,643,623,666,626,672,665,654,642,670,652,616,637,627,636,632,628,616,661,608,656,609,604,608,604,595,616,648,607,603,582,570,604,624,588,698,552,569,546,563,565,552,512,527,520,484,536,484,498,472,424,428,427,399,398,422,336,394,360,308,314,335,309,268,271,261,242,248,216,231,209,200,223,171,161,157,152,166,153,163,134]
[8,18,15,20,24,24,27,35,52,40,60,52,84,79,79,129,149,157,153,216,211,220,230,267,276,306,284,343,345,377,368,410,533,462,457,469,490,516,505,506,516,537,517,596,585,620,598,573,592,646,600,627,577,641,657,635,636,644,692,720,684,670,737,657,648,715,679,719,727,822,647,646,688,707,717,698,729,716,738,695,657,692,672,679,695,675,669,703,665,710,645,704,649,665,676,620,688,670,643,614,624,625,662,592,614,597,587,765,584,570,560,544,557,539,497,551,504,467,475,495,418,422,399,409,409,321,361,351,358,331,290,301,264,304,262,283,253,236,245,202,215,207,161,176,221,165,141,168,142,149]
[15,16,23,30,18,26,26,37,36,65,62,78,87,94,116,131,139,152,178,186,235,255,273,286,322,323,328,352,415,415,485,431,478,476,532,582,537,539,578,562,548,596,617,581,576,599,591,628,614,661,703,649,665,691,685,673,682,711,685,692,695,691,675,706,736,727,725,759,789,707,743,683,864,693,748,763,673,731,733,749,717,722,714,773,709,775,681,750,692,687,716,676,741,698,727,682,714,659,683,602,670,685,680,635,621,629,628,663,631,675,582,605,546,552,562,539,515,532,516,462,470,468,417,459,386,384,375,356,364,357,298,289,301,275,286,258,280,261,213,213,216,180,177,157,183,147,165,172,129,132]
[26,12,19,24,32,35,33,51,47,60,65,77,86,110,130,141,161,192,241,205,267,285,303,276,362,353,400,426,408,466,487,498,490,556,560,544,539,606,722,615,655,633,638,624,633,655,630,670,740,740,723,690,666,679,698,650,690,737,721,744,754,780,724,775,742,798,795,773,766,777,756,764,820,741,764,891,781,825,804,784,767,773,724,734,779,767,746,726,787,735,755,719,736,723,716,662,687,690,687,650,730,669,702,694,631,642,657,663,604,657,608,608,675,617,586,586,540,503,517,503,501,486,417,468,445,425,392,376,361,351,309,314,317,292,296,281,235,233,245,216,195,200,215,205,175,141,158,164,141,155]
[28,15,18,25,30,25,30,45,65,65,79,100,109,115,146,157,217,216,248,293,278,301,325,374,396,422,404,438,425,518,513,550,601,593,556,610,552,615,635,657,655,756,686,696,675,724,699,731,712,790,695,731,758,741,731,804,762,779,792,737,783,780,780,787,850,793,784,824,753,938,864,842,835,809,844,805,826,834,984,791,884,804,847,753,820,742,762,812,824,777,787,776,730,744,718,719,715,708,723,735,755,671,720,715,706,670,704,650,689,617,645,650,556,581,592,692,581,578,540,547,473,438,484,427,423,439,388,397,388,340,317,340,322,295,289,276,234,249,219,223,222,214,187,204,163,177,168,145,153,127]
[14,18,24,24,24,34,49,35,61,61,69,101,110,139,164,165,213,249,277,335,312,367,369,401,416,446,461,496,544,514,558,621,619,618,604,611,603,654,672,704,654,710,707,905,742,719,742,782,756,777,740,770,780,803,800,741,805,816,792,825,855,849,879,851,855,819,924,848,903,907,880,878,864,796,877,867,897,935,887,880,898,1069,871,837,825,794,827,763,841,789,791,807,797,837,781,783,734,786,770,762,808,744,762,698,646,703,706,677,706,715,644,644,592,625,619,575,537,571,620,547,513,477,528,452,436,458,411,434,428,374,351,353,311,292,302,262,256,231,250,224,222,220,213,170,190,163,167,164,126,140]
[21,13,32,22,34,28,36,36,61,94,92,98,123,163,163,218,233,280,295,380,366,373,446,484,509,557,592,573,645,597,610,679,656,692,703,676,685,693,756,790,738,783,718,747,774,798,973,795,864,851,867,895,872,825,859,930,859,942,816,880,875,897,899,857,860,874,912,921,934,910,947,929,970,960,903,918,892,930,954,910,860,921,905,1075,945,952,829,918,840,866,888,835,890,838,829,823,816,788,781,740,784,829,790,792,781,802,784,768,716,724,745,688,727,628,661,595,621,629,628,510,551,614,527,495,438,464,480,407,406,387,357,358,337,339,311,291,283,287,220,223,238,215,221,187,170,165,151,159,147,146]
[17,21,24,23,32,32,47,53,58,81,98,120,156,170,172,221,241,298,324,390,441,422,526,554,530,638,621,642,654,668,671,731,716,683,745,729,783,782,809,829,869,834,864,791,833,876,939,868,993,1073,927,924,926,881,882,917,925,958,1010,970,998,983,923,918,933,952,975,1030,957,968,1045,984,1035,1043,967,923,947,918,1004,1002,974,991,932,990,978,942,1153,975,957,1008,949,951,902,886,955,861,891,896,857,917,879,827,785,855,815,783,798,806,801,742,709,726,736,695,649,682,650,684,637,568,586,583,539,524,613,486,436,446,391,377,396,355,328,330,328,319,267,277,250,248,243,241,255,192,170,194,167,171,147,146]
[19,21,39,31,27,36,45,66,65,80,95,120,126,160,207,290,305,336,399,420,495,512,563,574,582,616,703,745,784,785,785,822,863,768,815,803,838,787,943,935,888,910,858,1001,912,937,1036,967,1030,1014,1002,1037,1128,954,1029,993,1000,988,1011,1098,1044,1058,1087,1038,1056,1030,1043,1034,1029,1115,1110,1096,1065,1040,1050,1043,1049,1032,1049,1056,1009,1009,1053,1069,1017,1006,1046,977,997,1186,967,1001,973,962,969,946,948,884,844,923,875,903,839,862,882,910,805,875,850,871,850,788,723,758,735,691,690,660,655,577,573,538,542,510,537,474,574,458,439,438,401,381,346,324,288,313,287,273,246,220,215,223,221,183,170,200,204,180,151,164]
[14,19,27,33,24,43,44,46,57,67,96,127,167,214,214,257,329,426,429,521,545,601,653,731,700,755,760,799,841,906,875,864,920,900,887,848,933,917,988,991,1038,1016,991,1035,985,954,1012,1092,1127,1149,1161,1125,1127,1060,1033,1160,1065,1103,1084,1137,1075,1120,1126,1074,1069,1082,1086,1185,1190,1246,1251,1145,1149,1169,1048,1135,1197,1115,1129,1069,1158,1172,1126,1105,1032,1019,996,997,1109,1049,1052,1014,1259,1020,979,942,971,977,993,959,910,965,918,940,879,881,864,866,900,863,859,816,794,802,733,719,733,703,701,613,598,582,548,575,524,445,477,426,431,532,400,358,365,315,274,299,308,261,257,219,220,229,229,203,182,185,166,168,163,146]
[24,29,28,31,34,36,54,62,65,96,103,127,140,199,209,323,338,410,414,535,696,574,664,679,732,756,775,846,911,939,1023,979,1012,992,911,877,938,1016,1020,1063,1102,1138,1099,1007,956,933,969,1053,1102,1153,1210,1115,1149,1063,1014,1003,1078,1089,1437,1166,1243,1220,1172,1144,1064,1050,1153,1180,1214,1218,1338,1268,1229,1145,1151,1069,1135,1116,1111,1191,1214,1167,1157,1050,1046,1018,1024,1080,1055,1112,1151,1119,1071,1031,1009,1158,1011,933,958,977,1009,988,957,887,938,834,877,893,892,812,883,876,836,776,719,734,655,699,660,651,598,625,546,533,530,494,466,489,414,453,398,369,404,342,309,290,280,264,276,248,213,220,195,219,190,193,162,178,147,155]
[23,23,17,33,41,53,55,50,66,95,125,135,176,200,227,274,380,397,483,598,683,702,725,840,669,709,818,892,958,1101,1169,1145,1073,1031,907,911,986,1025,1033,1173,1259,1199,1119,1120,1063,1008,1102,1096,1107,1209,1275,1327,1237,1153,1039,1093,1109,1149,1197,1299,1356,1598,1259,1181,1118,1129,1059,1145,1213,1317,1347,1403,1218,1208,1058,1077,1180,1171,1229,1208,1261,1234,1164,1052,1086,1035,1068,1106,1187,1228,1172,1190,1152,1045,994,980,948,996,1185,1092,1082,1031,1055,892,921,874,921,908,976,882,913,876,850,855,804,772,747,700,666,643,603,583,539,563,515,479,485,466,418,408,388,368,382,330,307,355,324,265,276,267,241,228,226,191,213,204,177,167,151,169]
[33,34,29,42,36,54,47,95,102,132,146,152,217,251,311,379,438,546,737,831,957,914,814,786,885,839,923,1035,1261,1429,1432,1292,1093,957,898,1017,1086,1184,1284,1481,1351,1325,1224,956,1023,1113,1065,1296,1300,1541,1562,1300,1196,1106,1116,1094,1109,1158,1399,1533,1472,1558,1216,1138,1142,1156,1291,1302,1431,1546,1581,1352,1218,1147,1145,1143,1188,1258,1320,1518,1417,1303,1141,1093,1148,1051,1056,1234,1333,1426,1322,1160,1166,1014,1007,985,1035,1108,1181,1473,1222,1055,945,940,901,919,937,1006,1073,1030,987,861,825,772,805,709,697,660,695,655,594,549,579,507,513,453,454,456,450,411,412,332,356,340,312,305,325,282,277,260,228,227,220,208,186,186,172,164,150,151]
[26,20,27,42,45,50,66,66,77,79,128,159,184,237,283,392,402,471,645,975,1291,1504,1348,1008,887,872,854,1174,1276,1621,1942,1914,1467,1209,1066,952,1028,1123,1344,1663,1722,1681,1578,1237,1173,1059,1159,1125,1341,1755,1960,1759,1491,1339,1193,1148,1199,1185,1344,1662,1845,1716,1644,1310,1515,1171,1198,1298,1471,1807,1813,1706,1585,1315,1227,1232,1235,1256,1312,1607,1768,1557,1500,1237,1190,1111,1070,1124,1295,1684,1723,1590,1398,1196,1131,990,1016,1118,1211,1457,1502,1630,1226,1057,983,938,949,1003,1138,1296,1360,1143,987,925,801,767,746,767,714,628,659,589,664,575,529,457,438,477,441,445,422,401,357,347,299,298,319,280,273,322,225,255,216,214,223,192,177,170,160,133]
[14,30,34,40,56,48,60,64,78,113,138,169,175,221,282,356,424,488,686,1122,1887,2171,2167,1376,951,889,840,1017,1236,1855,3137,2563,2293,1713,1290,1093,1052,1132,1332,1929,2474,2400,2156,1585,1219,1117,1092,1210,1406,1965,2428,2335,2176,1615,1324,1227,1175,1289,1530,2039,2334,2250,2029,1740,1340,1201,1249,1528,1677,2129,2423,2227,1929,1514,1318,1221,1233,1307,1519,1901,2222,2125,1852,1420,1241,1128,1171,1243,1443,2069,2305,2194,1829,1402,1202,1079,1036,1166,1392,1826,2037,1843,1593,1257,1204,945,988,1036,1238,1735,1754,1609,1328,946,913,765,783,786,733,679,673,655,600,573,549,548,471,456,447,419,394,378,394,345,333,338,312,302,264,259,235,232,282,209,200,177,199,165,181,148]
[23,31,34,34,43,51,61,76,81,123,153,170,200,256,267,367,384,506,685,1188,2130,2246,2208,1433,1001,915,869,1032,1256,2013,2688,2784,2518,1928,1247,1142,1049,1179,1408,2149,2687,2445,2076,1601,1326,1179,1217,1243,1455,2096,2586,2692,2301,1746,1381,1291,1262,1270,1509,2223,2564,2635,2306,1769,1484,1300,1259,1430,1668,2070,3180,2453,2154,1762,1447,1296,1325,1287,1566,2049,2307,2265,1854,1451,1198,1176,1190,1309,1651,2334,2528,2232,1865,1434,1216,1086,1164,1150,1484,1976,2134,2085,1628,1288,1092,1065,990,1337,1394,1810,1981,1736,1333,1058,942,831,799,763,779,706,654,667,628,601,533,513,484,465,473,490,384,369,385,369,338,345,317,314,292,280,248,221,208,224,206,242,186,147,170,158]
[29,31,33,39,40,63,58,78,77,92,135,173,210,249,299,380,437,542,615,793,1182,1463,1351,1084,914,873,920,974,1186,1360,2002,2046,1947,1546,1214,1326,1119,1154,1271,1560,1907,1949,1655,1376,1238,1113,1176,1261,1371,1769,2099,2100,1845,1513,1343,1273,1197,1334,1508,1752,2115,2117,2016,1650,1414,1272,1267,1438,1506,1780,2036,2033,1920,1904,1446,1363,1347,1331,1465,1649,1981,1960,1742,1443,1277,1207,1206,1192,1370,1678,1869,1879,1759,1403,1226,1111,1083,1156,1266,1500,1733,1730,1407,1275,1125,1070,1036,1035,1183,1378,1890,1435,1194,1031,922,803,843,793,786,777,709,646,613,608,575,527,518,531,464,456,408,432,393,391,343,334,285,297,304,268,248,238,234,223,234,199,174,200,165,177]
[26,50,30,42,47,44,67,67,108,115,160,178,269,262,322,388,491,539,600,749,947,1015,1014,858,833,864,961,935,1104,1190,1501,1472,1354,1100,1067,970,1075,1163,1419,1301,1433,1474,1328,1171,1223,1036,1169,1147,1342,1483,1625,1569,1386,1316,1262,1203,1231,1257,1317,1477,1514,1694,1524,1433,1311,1259,1325,1307,1396,1561,1637,1714,1494,1332,1326,1301,1580,1286,1332,1453,1545,1461,1368,1312,1224,1203,1165,1218,1327,1356,1504,1477,1313,1264,1155,1116,1086,1152,1164,1300,1406,1292,1189,1153,1056,1046,966,1060,1047,1109,1227,1163,1047,1189,920,906,832,856,846,731,682,744,662,639,550,608,490,478,482,474,440,428,412,376,336,317,303,331,303,256,267,259,211,198,200,198,197,201,152,167]
[29,30,23,54,43,69,71,81,113,116,157,162,246,262,340,423,489,541,622,683,879,859,851,796,851,861,934,986,1053,1086,1168,1175,1165,995,955,985,1016,1098,1106,1246,1295,1556,1276,1177,1087,1123,1135,1191,1249,1356,1411,1353,1359,1264,1142,1199,1158,1273,1279,1398,1386,1390,1344,1276,1266,1210,1306,1265,1301,1423,1477,1482,1427,1378,1240,1297,1285,1344,1621,1369,1339,1299,1401,1248,1258,1186,1201,1185,1219,1257,1261,1262,1254,1230,1123,1102,1099,1131,1092,1181,1206,1168,1181,1080,1076,1051,1061,1080,1119,1178,1087,1120,1066,990,912,920,1035,796,803,786,737,726,684,604,553,571,552,555,490,466,453,381,373,375,352,324,305,316,284,308,254,249,222,241,193,192,188,161,156,152]
[32,40,37,44,46,62,62,104,97,125,134,212,205,282,369,418,484,564,699,789,832,844,845,840,851,907,1002,1104,1089,1060,1084,1124,1067,1012,964,1002,1044,1181,1124,1188,1239,1226,1168,1153,1303,1161,1193,1178,1260,1293,1333,1333,1250,1207,1154,1155,1139,1256,1178,1274,1303,1368,1350,1215,1222,1302,1269,1316,1312,1321,1504,1485,1315,1314,1233,1312,1273,1277,1332,1337,1310,1610,1296,1201,1196,1241,1246,1152,1187,1226,1207,1271,1153,1154,1083,1091,1135,1083,1135,1107,1129,1172,1134,1085,1059,1077,1107,1061,1088,1078,998,1065,966,933,907,890,880,869,771,939,679,674,594,597,588,569,509,499,461,463,429,386,375,393,360,336,337,332,314,306,277,227,224,194,203,196,183,167,178,156]
[32,36,31,51,56,56,65,94,104,159,149,193,216,283,371,450,543,609,665,885,944,970,921,921,892,950,955,1104,1077,1159,1141,1068,1113,986,1026,1022,1081,1082,1139,1302,1249,1214,1224,1143,1101,1140,1175,1462,1362,1277,1363,1381,1329,1215,1182,1130,1221,1212,1309,1309,1228,1335,1233,1220,1254,1299,1255,1344,1383,1454,1403,1479,1451,1363,1317,1322,1370,1279,1390,1371,1308,1299,1262,1295,1552,1251,1251,1241,1254,1242,1252,1210,1210,1202,1116,1150,1144,1170,1151,1201,1162,1149,1125,1112,1084,1129,1112,1119,1090,1135,1077,1055,979,967,1006,981,891,888,869,821,757,869,699,631,591,560,533,483,494,493,427,396,368,389,356,341,306,331,285,248,256,268,245,202,192,209,189,146,178,170]
[29,33,43,36,58,55,60,78,118,111,145,190,291,348,363,518,561,611,777,951,1107,1097,1012,890,880,942,980,1025,1115,1209,1223,1208,1114,985,961,1078,1103,1134,1226,1252,1317,1365,1221,1210,1118,1222,1218,1248,1376,1413,1667,1470,1355,1208,1190,1202,1244,1312,1328,1397,1275,1348,1317,1249,1233,1265,1386,1373,1429,1552,1499,1535,1441,1420,1317,1364,1386,1383,1369,1493,1443,1354,1382,1296,1330,1284,1238,1502,1280,1276,1217,1246,1209,1135,1051,1106,1157,1173,1255,1230,1231,1259,1128,1096,1069,1069,1102,1112,1120,1109,1153,1069,1060,938,943,965,912,930,906,808,759,746,666,661,745,565,552,506,515,485,423,406,370,367,339,303,307,306,280,255,262,231,219,191,173,196,216,172,176,133]
[26,43,37,42,53,51,67,76,86,128,175,199,239,292,356,582,593,700,832,1196,1429,1373,1198,1011,894,969,1006,1033,1122,1262,1432,1344,1231,1091,1014,1070,1156,1151,1210,1348,1504,1405,1310,1244,1179,1194,1230,1214,1364,1433,1479,1445,1662,1257,1212,1307,1254,1288,1282,1382,1415,1390,1338,1288,1241,1294,1357,1496,1485,1591,1727,1683,1556,1377,1289,1471,1358,1424,1434,1502,1588,1490,1378,1341,1239,1245,1336,1289,1232,1300,1619,1277,1228,1161,1114,1164,1162,1215,1187,1346,1330,1225,1186,1115,1144,1147,1125,1173,1173,1280,1257,1194,1123,1003,940,980,933,843,792,767,774,722,713,637,608,567,587,590,512,469,390,410,367,338,349,331,294,297,302,265,253,247,226,199,201,180,190,170,198,169]
[20,41,33,44,62,61,62,88,103,137,151,187,242,312,373,551,573,712,1177,1588,2165,2207,1808,1365,1094,1026,1089,1067,1178,1550,1819,1702,1548,1201,1088,1102,1206,1198,1321,1623,1844,1759,1523,1342,1246,1254,1260,1331,1310,1677,1918,1893,1597,1369,1301,1526,1282,1277,1313,1468,1502,1514,1411,1369,1271,1385,1377,1477,1580,1821,2022,1890,1639,1516,1370,1397,1412,1421,1517,1737,1802,1808,1516,1349,1297,1278,1257,1292,1265,1421,1454,1423,1195,1377,1144,1058,1128,1131,1291,1477,1597,1516,1303,1173,1078,1138,1068,1256,1312,1465,1647,1370,1209,1094,1005,986,897,883,878,768,717,722,628,646,587,538,565,511,467,425,568,398,391,371,351,326,318,285,284,278,249,226,239,207,188,193,195,180,161,169]
[24,38,35,35,52,46,61,69,113,142,152,189,256,253,353,497,599,726,1003,1842,2783,3305,2532,1712,1301,1054,994,1108,1186,1641,2268,2186,1926,1398,1161,1056,1089,1206,1336,1847,2327,2154,1925,1396,1309,1196,1265,1300,1490,1801,2242,2203,2046,1551,1413,1322,1336,1317,1588,1562,1747,1802,1493,1299,1282,1338,1389,1525,1667,2065,2299,2244,1874,1584,1402,1416,1388,1440,1595,1886,2089,2076,1772,1463,1358,1280,1231,1349,1365,1611,1775,1686,1365,1203,1117,1376,1163,1251,1419,1829,1813,1776,1441,1209,1148,1052,1166,1206,1459,1912,1937,1672,1372,1109,970,988,924,850,889,817,756,680,661,615,628,568,511,489,494,484,394,432,404,461,369,330,322,312,293,279,252,241,242,209,182,201,159,187,154,163]
[30,29,45,48,50,65,77,91,113,128,162,187,225,283,371,489,608,780,1095,1999,2933,3210,2703,1831,1653,1052,1056,1121,1313,1743,2293,2207,1923,1433,1194,1098,1157,1241,1407,1842,2324,2363,1930,1462,1278,1202,1282,1334,1452,1929,2282,2263,1988,1562,1375,1350,1313,1334,1365,1517,1845,2060,1523,1413,1361,1370,1477,1468,1813,2122,2417,2230,1901,1583,1410,1369,1407,1331,1630,2035,2185,2054,1784,1471,1371,1219,1305,1367,1330,1715,1768,1730,1477,1290,1156,1127,1186,1203,1895,1835,2041,1841,1474,1176,1160,1122,1165,1172,1570,1911,1961,1782,1397,1180,1069,963,939,961,886,843,762,749,709,644,628,579,553,564,499,458,484,431,402,366,379,342,370,292,290,312,279,258,231,228,219,177,211,177,178,167]
[26,41,42,39,51,58,69,87,120,122,165,213,237,320,368,451,551,693,938,1371,2032,2393,2144,1447,1170,1055,1014,1300,1143,1377,1652,1719,1610,1284,1120,1050,1014,1160,1298,1478,1747,1841,1645,1412,1322,1278,1216,1316,1403,1595,1848,1943,1751,1516,1384,1256,1269,1278,1308,1381,1499,1528,1504,1393,1549,1365,1329,1377,1492,1804,1975,1970,1693,1535,1421,1336,1445,1391,1494,1697,1859,1832,1644,1379,1336,1320,1287,1346,1351,1416,1557,1529,1420,1233,1174,1192,1191,1246,1350,1482,1656,2048,1391,1276,1173,1211,1158,1298,1344,1555,1618,1506,1280,1186,1073,1001,967,956,846,822,839,693,728,668,646,623,570,523,523,489,430,454,439,400,400,374,354,325,344,291,255,245,220,250,205,205,207,174,167,130]
[31,35,34,38,53,54,76,74,97,121,172,177,215,313,344,436,558,662,777,977,1184,1485,1421,1123,1014,954,1002,1010,1025,1438,1255,1372,1289,1155,1066,1064,1051,1186,1209,1264,1439,1461,1363,1234,1218,1234,1235,1324,1330,1506,1514,1553,1487,1343,1348,1271,1293,1277,1371,1426,1406,1507,1448,1341,1344,1316,1399,1568,1471,1617,1645,1630,1519,1424,1403,1316,1342,1419,1398,1533,1591,1514,1519,1344,1358,1296,1333,1326,1321,1320,1366,1379,1345,1137,1211,1181,1161,1228,1271,1297,1322,1421,1376,1239,1433,1189,1210,1251,1280,1266,1356,1298,1193,1073,1005,1036,914,938,823,836,851,756,707,673,666,600,595,559,524,495,489,495,422,371,365,364,348,322,292,297,264,320,251,242,203,186,186,179,170,153]
[28,31,45,37,54,55,88,84,107,123,194,190,253,336,384,471,548,613,738,856,1018,1123,1027,886,832,933,957,984,1097,1060,1112,1170,1226,1100,1014,1002,1063,1123,1162,1229,1280,1345,1296,1190,1181,1187,1174,1179,1276,1386,1353,1477,1407,1318,1295,1292,1281,1300,1357,1358,1396,1394,1366,1251,1299,1336,1425,1396,1402,1536,1705,1529,1449,1369,1339,1399,1403,1367,1415,1452,1410,1418,1395,1402,1311,1268,1311,1314,1317,1315,1337,1308,1318,1215,1197,1277,1131,1162,1152,1180,1267,1262,1295,1255,1211,1243,1120,1496,1241,1213,1235,1231,1226,1113,1076,1025,987,980,841,858,785,776,730,702,677,599,560,557,537,500,478,434,438,395,371,339,314,312,300,272,264,257,238,234,238,207,190,169,152,185]
[35,32,46,56,63,52,68,75,115,133,138,193,252,321,380,462,526,635,692,818,907,975,1001,952,939,949,959,1043,1108,1040,1108,1176,1119,1047,1206,1019,1106,1155,1266,1239,1314,1315,1185,1262,1130,1126,1230,1266,1310,1388,1424,1403,1352,1373,1251,1298,1310,1337,1389,1464,1470,1345,1428,1387,1351,1350,1417,1389,1411,1443,1503,1526,1710,1416,1346,1421,1382,1407,1472,1551,1416,1525,1434,1424,1321,1359,1376,1324,1298,1260,1249,1360,1320,1338,1212,1272,1189,1281,1246,1200,1274,1169,1253,1258,1208,1167,1238,1238,1277,1479,1301,1145,1150,1063,1014,1030,981,944,902,887,865,782,722,734,664,621,583,599,506,501,473,409,430,400,387,367,346,348,299,308,278,268,244,217,214,194,242,169,179,171]
[30,39,24,37,64,67,82,88,121,123,182,215,258,319,375,465,540,670,761,878,1003,1010,1013,892,839,963,978,1039,1124,1117,1131,1124,1103,1023,1022,1006,1134,1427,1292,1310,1250,1298,1265,1275,1195,1234,1244,1282,1405,1407,1465,1351,1412,1338,1334,1273,1297,1385,1379,1334,1416,1387,1363,1341,1368,1345,1413,1470,1417,1472,1486,1494,1423,1389,1437,1688,1391,1507,1453,1499,1480,1537,1385,1393,1330,1296,1292,1385,1302,1257,1306,1329,1314,1224,1238,1217,1179,1224,1238,1217,1240,1243,1226,1252,1200,1285,1241,1260,1284,1267,1300,1238,1418,1063,1073,1041,960,889,878,887,872,727,699,753,647,600,534,561,535,504,506,427,442,411,360,363,334,334,304,264,303,265,256,227,220,196,193,183,176,196]
[26,34,33,42,63,62,74,73,126,129,157,208,251,315,390,495,602,685,800,960,1096,1126,1044,901,902,932,985,1006,1100,1190,1197,1197,1142,1105,1030,997,1025,1180,1357,1456,1698,1330,1359,1208,1201,1175,1284,1320,1449,1436,1505,1415,1413,1286,1297,1358,1307,1265,1422,1444,1410,1429,1445,1336,1381,1299,1394,1395,1464,1490,1457,1477,1423,1349,1403,1476,1408,1440,1778,1530,1576,1523,1443,1435,1343,1384,1283,1317,1380,1297,1381,1301,1285,1265,1242,1291,1302,1269,1246,1283,1183,1278,1257,1191,1239,1299,1245,1254,1275,1272,1340,1257,1157,1118,1120,1211,1014,951,932,914,808,771,727,681,679,615,668,558,515,528,483,474,430,380,397,344,318,347,312,293,271,231,235,235,203,205,229,189,171,144]
[34,39,32,35,45,60,88,108,91,163,172,202,240,304,417,547,616,769,924,1271,1504,1480,1255,974,904,942,1000,984,1122,1254,1315,1331,1117,1088,1021,1115,1153,1217,1329,1482,1642,1665,1479,1576,1270,1289,1238,1295,1384,1543,1621,1541,1456,1389,1352,1406,1404,1362,1397,1567,1524,1564,1400,1329,1336,1381,1420,1395,1464,1525,1611,1507,1413,1410,1385,1412,1471,1417,1540,1580,1903,1564,1432,1472,1332,1373,1318,1315,1412,1413,1460,1491,1264,1213,1229,1250,1257,1320,1338,1231,1298,1238,1190,1207,1205,1213,1241,1271,1316,1447,1458,1241,1218,1159,1114,1089,981,967,1068,822,806,773,718,701,667,626,591,543,518,466,473,424,399,360,363,313,307,308,314,315,253,241,230,218,194,178,189,173,165,135]
[35,53,40,42,52,41,53,77,90,149,160,194,256,335,422,563,674,862,1178,1887,2279,2363,1811,1378,1134,1072,1055,1077,1199,1522,1795,1601,1425,1290,1119,1114,1235,1267,1537,1969,2163,2022,1792,1578,1406,1354,1551,1336,1512,1775,1925,1838,1579,1427,1382,1297,1364,1386,1524,1674,1765,1646,1481,1454,1398,1429,1459,1405,1563,1681,1797,1737,1561,1470,1407,1462,1519,1453,1590,1898,2017,1860,1659,1761,1490,1420,1377,1450,1433,1574,1592,1548,1376,1324,1320,1287,1220,1360,1253,1358,1381,1346,1279,1267,1211,1308,1340,1351,1529,1565,1666,1533,1308,1247,1119,1166,993,969,992,888,838,915,754,701,668,666,563,578,540,511,449,435,400,371,355,348,336,293,291,296,263,230,226,221,252,189,169,190,171,170]
[23,30,39,46,57,56,71,95,119,142,185,189,308,290,430,556,669,929,1408,2432,3111,2970,2532,1772,1387,1180,1061,1099,1370,1743,2254,2217,1950,1528,1187,1131,1219,1343,1610,2245,2759,2508,2246,1869,1544,1361,1360,1461,1527,2384,2272,2249,1837,1491,1478,1412,1475,1495,1526,1826,1969,1936,1577,1451,1339,1422,1444,1499,1655,1946,2018,1967,1714,1557,1504,1428,1452,1496,1833,2087,2195,2230,1812,1576,1474,1426,1674,1424,1510,1684,1816,1653,1561,1361,1304,1383,1307,1300,1247,1357,1461,1403,1348,1247,1293,1192,1336,1357,1710,2109,2020,1795,1364,1235,1127,1102,1026,969,864,899,805,816,714,865,643,657,560,562,517,506,475,487,434,410,353,341,311,309,309,292,257,233,229,233,200,200,194,197,169,170]
[32,36,40,40,56,51,80,111,95,138,150,211,257,275,499,493,636,878,1410,2481,3322,3342,2540,1664,1233,1046,1053,1057,1278,1727,2269,2394,2055,1451,1150,1125,1181,1336,1581,2233,2685,2550,2278,1922,1539,1380,1301,1412,1516,1911,2187,2198,2323,1517,1451,1376,1359,1473,1510,1785,1913,1843,1603,1487,1364,1366,1440,1476,1489,1984,1995,2078,1798,1573,1423,1396,1420,1520,1774,2093,2297,2149,1870,1579,1376,1373,1365,1387,1496,2138,1775,1719,1458,1398,1281,1226,1307,1314,1275,1361,1451,1413,1310,1275,1219,1308,1369,1339,1673,1954,2010,1839,1539,1311,1145,1075,1051,1015,919,908,853,798,741,674,673,582,720,560,550,498,481,467,392,415,364,360,344,343,275,293,264,276,248,228,220,196,200,190,163,153]
[30,40,27,42,58,57,64,64,109,134,156,185,249,302,366,495,587,971,1084,1632,2302,2557,2012,1492,1109,1024,1035,1130,1137,1345,1652,1869,1646,1297,1198,1182,1133,1271,1465,1850,2112,2207,1957,1601,1435,1353,1373,1348,1458,1707,1905,1839,1690,1485,1666,1312,1510,1487,1549,1535,1739,1759,1607,1460,1402,1421,1463,1510,1607,1657,1692,1732,1636,1553,1488,1384,1421,1493,1600,1697,1886,1878,1629,1575,1398,1368,1392,1448,1463,1508,1601,1501,1738,1442,1408,1238,1320,1430,1325,1332,1368,1373,1309,1302,1213,1301,1356,1378,1507,1724,1790,1629,1365,1237,1121,1113,1080,981,934,883,878,772,753,670,696,593,588,589,545,625,492,440,428,465,374,368,325,332,334,291,281,249,255,243,227,208,227,167,175,169]
[22,33,33,39,48,64,70,88,96,124,160,194,234,333,391,450,547,651,840,1100,1765,1644,1472,1130,1018,956,937,1019,1094,1183,1356,1396,1285,1156,1095,1054,1202,1251,1361,1557,1621,1689,1539,1354,1332,1321,1333,1302,1346,1525,1536,1622,1451,1438,1347,1363,1439,1751,1500,1627,1600,1508,1357,1418,1476,1428,1458,1487,1517,1533,1574,1572,1487,1485,1457,1427,1494,1471,1468,1730,1681,1729,1504,1492,1486,1431,1484,1459,1364,1380,1461,1543,1385,1416,1371,1599,1349,1391,1343,1384,1347,1403,1323,1284,1315,1303,1450,1342,1439,1468,1389,1428,1310,1255,1167,1141,1052,1040,924,928,827,826,783,740,713,607,581,608,543,535,487,402,590,425,368,376,351,350,304,275,295,245,269,252,216,205,198,178,182,155]
[34,40,50,56,51,51,82,100,108,114,151,185,241,286,350,436,530,622,675,805,988,1036,1041,1140,853,916,965,1147,1060,1119,1195,1152,1084,1085,1050,1086,1142,1177,1296,1415,1449,1370,1388,1331,1251,1258,1343,1389,1476,1443,1511,1514,1446,1357,1402,1408,1440,1487,1482,1522,1890,1508,1486,1397,1400,1339,1455,1564,1440,1586,1527,1539,1448,1416,1428,1415,1520,1549,1477,1509,1580,1504,1520,1517,1432,1418,1407,1490,1486,1435,1469,1507,1408,1433,1354,1327,1341,1637,1428,1368,1389,1384,1367,1316,1356,1328,1305,1293,1443,1440,1405,1412,1277,1218,1144,1185,1069,1048,922,928,867,826,785,731,640,665,642,599,573,514,489,484,481,435,384,440,331,299,328,296,300,247,226,221,176,177,184,184,181,154]
[26,40,38,41,42,64,81,86,111,108,149,181,230,298,439,491,500,563,691,763,882,962,946,892,841,1060,1040,1058,1065,1085,1128,1119,1120,1012,1096,1066,1130,1280,1269,1325,1299,1300,1350,1285,1192,1216,1266,1332,1461,1462,1408,1452,1352,1376,1444,1327,1418,1413,1467,1578,1580,1574,1412,1785,1358,1347,1368,1451,1543,1572,1463,1567,1466,1445,1409,1460,1442,1526,1552,1472,1500,1568,1486,1485,1398,1391,1393,1490,1437,1433,1445,1439,1438,1424,1497,1371,1358,1416,1341,1390,1667,1492,1418,1366,1316,1320,1385,1395,1408,1463,1424,1342,1341,1229,1115,1098,1081,1039,969,929,880,820,799,726,692,643,621,583,585,572,528,508,456,402,390,396,342,384,311,298,264,246,258,227,228,191,197,153,178,172]
[26,29,51,60,49,68,70,86,104,131,173,184,263,293,358,459,524,581,697,814,915,905,924,892,855,876,898,1050,1325,1051,1039,1108,1088,1021,1028,1024,1106,1085,1222,1266,1258,1311,1236,1287,1243,1182,1241,1278,1415,1526,1424,1460,1403,1379,1377,1389,1415,1427,1504,1501,1482,1523,1550,1355,1420,1393,1665,1476,1500,1546,1433,1516,1432,1470,1458,1375,1362,1386,1495,1622,1494,1512,1564,1516,1448,1423,1425,1548,1380,1431,1457,1474,1456,1372,1377,1357,1408,1417,1436,1440,1512,1521,1440,1633,1416,1377,1362,1450,1469,1461,1436,1364,1331,1311,1220,1171,1104,1064,937,963,929,809,755,756,697,637,643,614,529,523,458,501,480,419,395,382,348,323,331,280,331,266,242,240,202,189,186,184,169,148]
[21,30,35,52,51,69,83,102,101,155,149,184,236,337,368,455,533,620,696,865,1018,1001,1045,916,833,840,875,991,1017,1124,1073,1352,1065,1003,1027,1097,1115,1180,1183,1267,1295,1243,1286,1225,1272,1242,1286,1300,1445,1461,1495,1513,1367,1396,1432,1421,1423,1380,1507,1591,1515,1651,1500,1532,1465,1484,1461,1451,1490,1956,1567,1489,1532,1436,1480,1434,1454,1533,1631,1593,1542,1413,1477,1433,1428,1450,1420,1508,1496,1486,1430,1548,1421,1479,1445,1437,1390,1496,1533,1536,1572,1596,1473,1433,1450,1438,1656,1475,1552,1564,1554,1489,1363,1278,1168,1223,1092,992,998,938,900,828,782,759,703,678,618,605,560,555,496,447,473,411,411,403,388,324,286,310,265,237,241,272,229,201,193,193,169,154]
[21,49,37,41,50,60,67,89,121,142,155,191,229,315,373,491,589,686,845,1074,1303,1363,1224,992,855,839,968,890,1066,1086,1264,1179,1075,996,1245,1069,1105,1090,1252,1288,1290,1339,1309,1295,1248,1266,1245,1265,1410,1498,1496,1529,1456,1386,1442,1400,1422,1398,1535,1634,1705,1692,1620,1509,1478,1534,1484,1486,1495,1520,1569,1830,1487,1406,1411,1424,1396,1500,1543,1506,1566,1546,1588,1492,1451,1467,1451,1446,1559,1598,1591,1547,1530,1441,1389,1422,1470,1491,1566,1629,1651,1583,1510,1532,1445,1399,1419,1450,1600,2072,1773,1593,1389,1257,1221,1150,1067,1136,1000,908,838,929,835,669,700,635,638,546,556,525,486,436,451,398,379,373,359,301,334,281,271,287,254,226,220,198,203,190,176,155]
[35,31,48,40,62,59,96,88,110,136,153,213,258,339,413,516,614,778,998,1638,2083,2055,1658,1338,1168,1025,1024,1026,1141,1471,1676,1585,1533,1258,1184,1108,1178,1420,1379,1546,1554,1623,1548,1382,1309,1332,1385,1419,1538,1705,1899,1784,1629,1453,1420,1441,1457,1499,1724,1934,2141,1957,1775,1504,1537,1477,1479,1551,1518,1671,1784,1549,1526,1489,1819,1478,1440,1564,1470,1615,1636,1656,1533,1484,1471,1465,1496,1533,1679,1813,1734,1750,1616,1524,1460,1525,1560,1584,1898,2023,1908,1899,1636,1433,1488,1513,1514,1712,2012,2189,2017,1785,1923,1323,1249,1166,1070,1095,1019,952,884,827,779,791,742,644,609,557,515,512,478,451,466,426,374,348,310,344,320,278,264,238,253,218,195,203,197,169,172,209]
[25,37,41,46,46,74,62,82,109,122,163,210,258,310,383,479,632,795,1295,2057,2736,2729,2295,1471,1278,1052,1056,1021,1181,1768,2172,2152,1923,1464,1212,1152,1226,1264,1371,1634,2493,2046,1810,1440,1340,1309,1370,1427,1621,1907,2290,2108,1771,1574,1473,1459,1492,1634,1709,2266,2319,2366,1916,1613,1551,1511,1542,1506,1611,1837,1932,1908,1573,1452,1434,1379,1433,1841,1526,1765,1880,1667,1538,1527,1549,1569,1469,1517,1774,2076,2165,2002,1684,1581,1468,1440,1564,1605,2129,2471,2363,2175,1825,1650,1475,1513,1585,1858,2431,2731,2707,2293,1922,1525,1581,1253,1097,1076,952,958,916,801,796,739,738,630,612,542,553,482,510,438,433,383,334,354,350,287,289,325,236,248,236,224,217,224,201,162,170,151]
[29,31,43,57,57,77,84,71,101,131,164,233,228,300,396,471,673,790,1295,2175,2885,2986,2496,1780,1370,1092,1039,1187,1157,1666,2144,2313,2008,1451,1308,1202,1203,1236,1432,1745,2035,1994,1780,1750,1355,1387,1332,1428,1634,1928,2220,2032,1822,1556,1448,1457,1527,1592,1784,2196,2332,2367,1938,1661,1638,1551,1547,1565,1633,1839,1932,1925,1642,1584,1524,1587,1493,1530,1631,1719,2189,1702,1618,1558,1438,1467,1553,1603,1849,2029,2196,2018,1712,1683,1488,1507,1589,1758,2088,2388,2437,2248,1817,1685,1500,1587,1714,1922,2443,2788,2844,2353,1992,1589,1399,1231,1182,1320,1042,970,874,867,759,763,679,648,647,626,581,501,534,524,438,391,382,370,344,344,314,293,286,266,242,235,222,218,206,194,182,158]
[25,43,24,51,35,67,83,96,139,137,163,212,291,310,365,465,571,764,1004,1443,2291,2333,2008,1576,1230,1050,1070,1060,1173,1322,1665,1791,1547,1303,1224,1131,1188,1324,1310,1511,1671,1724,1574,1397,1377,1281,1650,1403,1524,1668,1806,1827,1612,1574,1422,1438,1502,1588,1641,1875,2105,2009,1859,1636,1541,1502,1512,1573,1554,1674,1794,1727,1636,1608,1439,1468,1550,1555,1556,1598,1722,1577,1611,1786,1510,1532,1498,1559,1794,1793,1916,1869,1642,1476,1520,1450,1517,1628,1827,2038,2134,2022,1777,1560,1557,1536,1601,1680,2105,2418,2381,2210,1714,1562,1382,1211,1233,1085,1062,874,1089,837,726,811,715,684,646,625,583,524,490,450,439,442,355,381,329,313,288,259,254,277,253,219,205,196,194,182,136,176]
[36,40,38,47,49,68,77,90,105,113,187,235,264,336,367,445,521,668,725,1021,1348,1493,1307,1126,1034,929,994,1072,1128,1095,1305,1266,1202,1095,1151,1124,1283,1154,1248,1314,1355,1459,1411,1329,1371,1295,1295,1449,1443,1760,1503,1470,1556,1484,1338,1380,1438,1475,1533,1707,1846,1731,1658,1593,1513,1546,1492,1534,1522,1597,1663,1582,1532,1501,1458,1491,1525,1526,1609,1542,1578,1524,1549,1463,1481,1397,1820,1578,1485,1625,1659,1666,1676,1514,1420,1441,1570,1536,1707,1734,1775,1729,1663,1576,1488,1478,1575,1613,1650,1804,1875,1719,1494,1507,1401,1184,1113,1102,1033,925,895,849,787,922,664,741,625,610,576,545,552,469,467,423,386,359,348,311,320,285,256,284,222,235,221,208,221,196,186,171]
[36,46,40,44,60,67,80,86,105,119,164,191,242,292,485,446,533,580,678,825,1103,1109,1043,928,931,991,895,1029,1094,1141,1158,1125,1130,1056,1034,1104,1141,1168,1309,1314,1326,1324,1303,1309,1246,1278,1344,1394,1390,1466,1488,1771,1476,1438,1438,1392,1496,1513,1533,1665,1636,1729,1585,1525,1448,1472,1450,1459,1527,1536,1546,1605,1531,1500,1409,1421,1466,1519,1533,1632,1586,1590,1518,1468,1469,1455,1467,1456,1525,1892,1488,1600,1542,1555,1488,1461,1461,1476,1521,1591,1664,1628,1591,1468,1468,1375,1414,1490,1489,1516,1575,1467,1441,1419,1277,1282,1059,1084,1011,956,830,881,810,705,688,673,723,594,590,512,491,476,455,398,379,354,329,339,319,294,262,265,275,183,204,176,180,176,171,149]
[37,37,45,41,55,69,73,99,108,140,157,206,247,274,359,445,501,701,709,913,925,1011,906,887,869,903,1013,1061,1213,1200,1133,1139,1169,1114,1109,1128,1159,1233,1204,1339,1293,1413,1359,1337,1336,1296,1292,1427,1478,1516,1511,1547,1534,1453,1694,1406,1424,1459,1584,1606,1627,1572,1513,1519,1518,1480,1496,1499,1647,1640,1676,1672,1546,1580,1465,1487,1536,1514,1563,1610,1566,1552,1603,1545,1485,1410,1469,1424,1604,1595,1588,1644,1911,1581,1479,1482,1490,1468,1627,1682,1622,1605,1550,1541,1480,1442,1470,1466,1520,1538,1550,1472,1356,1290,1211,1221,1166,1038,1027,928,921,837,798,742,695,683,588,565,598,620,477,470,446,395,390,389,323,334,297,285,252,235,263,217,210,192,193,173,170,157]
[32,46,36,42,58,60,83,104,105,123,157,208,257,319,400,466,522,660,728,836,1169,960,943,971,929,975,1070,1112,1177,1191,1212,1181,1171,1130,1094,1042,1154,1206,1255,1332,1280,1442,1342,1291,1293,1282,1335,1460,1524,1537,1488,1435,1439,1459,1451,1449,1400,1785,1578,1609,1537,1620,1562,1521,1509,1469,1520,1532,1630,1611,1660,1613,1499,1555,1511,1478,1499,1576,1634,1646,1657,1574,1491,1529,1442,1420,1514,1509,1543,1569,1593,1591,1553,1561,1518,1775,1545,1553,1592,1588,1598,1634,1571,1599,1501,1458,1412,1493,1580,1571,1465,1402,1398,1276,1219,1171,1134,1097,1008,924,931,912,758,774,680,701,686,622,531,571,479,475,509,399,367,353,372,310,318,259,258,252,238,218,197,210,163,197,173,133]
[38,31,37,45,42,66,99,93,100,126,163,196,236,311,381,448,572,674,861,1016,1126,1105,1098,1157,974,988,1025,1068,1270,1280,1354,1269,1184,1122,1179,1179,1152,1236,1380,1450,1436,1400,1338,1311,1352,1305,1292,1475,1593,1573,1593,1560,1493,1472,1543,1449,1434,1543,1622,1706,2033,1615,1598,1561,1562,1490,1451,1528,1617,1677,1727,1612,1599,1547,1471,1510,1509,1655,1651,1568,1651,1650,1526,1536,1495,1454,1465,1506,1527,1611,1624,1607,1547,1511,1484,1458,1574,1901,1666,1753,1634,1676,1511,1554,1480,1551,1440,1543,1480,1552,1586,1453,1386,1254,1198,1205,1104,998,1039,929,871,800,751,792,713,653,664,583,570,520,463,457,431,419,396,450,304,342,318,282,255,258,222,202,213,180,203,148,185,158]
[37,43,36,45,63,88,75,88,131,122,157,205,232,323,390,490,663,849,1070,1364,1790,1664,1487,1228,1133,1338,1066,1142,1309,1555,1635,1539,1384,1187,1224,1201,1244,1350,1449,1631,1720,1608,1547,1393,1455,1354,1420,1490,1548,1673,1859,1712,1669,1496,1519,1508,1528,1611,1746,1868,1896,1774,1731,1980,1592,1534,1491,1499,1676,1795,1819,1658,1574,1563,1555,1496,1547,1585,1706,1861,1885,1746,1673,1573,1533,1515,1499,1550,1713,1743,1756,1674,1542,1575,1526,1540,1541,1583,1810,1917,2321,1739,1720,1558,1523,1528,1515,1560,1761,1741,1710,1538,1365,1355,1280,1225,1055,1017,1048,879,860,814,800,772,672,678,657,598,504,556,496,470,469,458,348,352,355,388,320,286,284,218,233,261,214,193,186,161,156,160]
[27,60,45,50,40,57,62,76,115,129,164,221,275,251,377,466,624,856,1250,1965,2544,2440,2263,1767,1551,1278,1245,1231,1656,1805,2125,2013,1754,1511,1393,1322,1296,1310,1509,1999,2197,2070,1930,1704,1579,1576,1468,1533,1757,2079,2191,2091,1917,1742,1664,1590,1631,1632,1826,2243,2283,2232,2003,1784,1730,1623,1922,1669,1880,2160,2246,2075,1919,1633,1672,1543,1661,1726,1922,2247,2236,2070,1880,1714,1606,1536,1614,1616,1851,1941,1947,2004,1771,1622,1603,1657,1683,1738,2126,2193,2260,2082,1842,1976,1550,1593,1675,1738,1953,2169,2197,1875,1601,1396,1335,1218,1150,1049,1053,983,946,846,866,795,715,640,662,571,544,535,491,498,414,412,399,360,314,301,304,298,328,238,257,223,219,188,186,177,158,162]
[29,36,46,50,46,83,72,97,100,140,150,180,241,323,375,510,650,844,1525,2615,3206,3182,2822,2311,1810,1389,1291,1245,1431,2079,2701,3276,2312,1755,1396,1353,1240,1404,1680,2224,2627,2502,2263,1857,1577,1471,1509,1660,1840,2496,2778,2587,2156,1873,1635,1589,1605,1685,1949,2471,2888,2577,2288,1996,1719,1606,1668,1715,2500,2660,2646,2454,2059,1803,1654,1689,1756,1819,2045,2652,2675,2345,2124,1743,1609,1644,1609,1727,1939,2304,2369,2237,1834,1655,1670,1615,1717,2019,2490,2693,2703,2410,2174,1827,1614,1608,2012,1918,2450,2681,2496,2239,1713,1414,1347,1286,1176,1053,1007,1015,966,887,839,779,715,674,609,598,545,492,512,458,464,428,368,346,347,305,319,296,268,256,243,223,202,190,202,161,150,139]
[16,51,51,46,55,65,78,101,96,124,154,205,259,281,390,466,601,814,1513,2445,3301,3331,2807,2123,1695,1250,1253,1335,1455,1999,2674,2605,2312,1855,1765,1287,1291,1394,1633,2209,2560,2682,2139,1793,1625,1518,1472,1573,1825,2255,2708,2629,2245,1920,1645,1500,1639,1747,1929,2416,2746,2593,2181,1807,1688,1629,1722,1796,2064,2431,2677,3033,2101,1790,1670,1691,1635,1771,2039,2526,2728,2440,2136,1825,1629,1561,1618,1671,1872,2246,2331,2240,1982,1728,1555,1609,1677,1850,2237,2701,2794,2516,2069,1815,1498,1567,1637,1770,2100,3003,2429,2153,1703,1456,1304,1240,1111,1073,1037,943,896,886,828,711,752,646,658,604,541,522,487,481,459,408,398,351,306,320,286,258,253,248,221,242,206,195,232,185,117,147]
[49,44,51,57,50,52,75,95,130,154,175,222,290,328,404,517,641,840,1173,1806,2416,2573,2217,1703,1323,1228,1128,1359,1421,1700,1855,1995,1775,1446,1319,1253,1347,1686,1607,1971,2236,2127,1861,1611,1466,1512,1596,1610,1764,2047,2368,2212,1912,1672,1643,1608,1658,1704,1940,2257,2374,2270,2050,1757,1722,1626,1767,1677,1891,2128,2422,2189,2020,1719,1912,1614,1743,1715,1917,2276,2246,2137,1853,1681,1565,1619,1645,1683,1785,1940,2006,1820,1682,1659,1568,1627,1663,1836,2067,2262,2273,2038,1858,1693,1531,1498,1555,1614,1906,2055,2092,1735,1797,1407,1311,1212,1100,1027,1041,994,907,828,774,753,655,669,595,577,591,549,476,427,419,393,328,348,297,361,286,316,268,233,223,242,210,192,160,190,135,159]
[31,44,49,63,71,71,78,98,102,139,167,223,297,335,395,504,576,696,868,1164,1477,1619,1539,1255,1130,1181,1170,1269,1313,1357,1438,1531,1399,1314,1293,1301,1277,1356,1427,1562,1994,1718,1501,1438,1398,1403,1514,1579,1605,1769,1784,1758,1718,1568,1570,1546,1553,1677,1748,1922,1826,1869,1734,1605,1594,1694,1627,1628,1712,1783,1988,1859,1765,1687,1609,1627,1600,1975,1687,1879,1773,1770,1741,1653,1522,1606,1608,1597,1635,1719,1758,1689,1636,1499,1542,1618,1637,1673,1805,1897,1915,1828,1635,1615,1411,1469,1495,1563,1634,1689,1662,1525,1406,1340,1442,1149,1164,1062,1011,901,881,842,779,767,708,644,636,619,600,527,479,465,442,406,368,370,348,325,285,274,275,257,225,241,161,182,204,157,148,133]
[39,40,40,48,70,70,64,95,100,138,169,211,284,342,417,494,520,581,731,889,1060,1161,1139,1019,1089,1064,1156,1293,1236,1233,1346,1311,1238,1219,1168,1313,1265,1366,1453,1497,1464,1512,1499,1712,1387,1440,1401,1453,1655,1553,1718,1654,1520,1560,1536,1541,1581,1588,1563,1776,1704,1724,1702,1642,1528,1583,1618,1546,1683,1602,1690,1629,1627,1635,1514,1536,1575,1606,1653,1594,2001,1730,1684,1566,1564,1454,1550,1469,1584,1537,1577,1652,1482,1560,1512,1529,1511,1555,1644,1637,1640,1612,1517,1528,1432,1445,1519,1382,1535,1455,1463,1424,1398,1253,1201,1148,1084,1258,994,927,873,873,808,724,716,635,606,571,586,536,453,481,435,396,368,341,322,326,339,297,270,247,228,202,209,174,149,156,143,160]
[28,43,46,50,59,69,96,100,138,161,174,207,285,330,409,477,502,606,692,822,909,972,1047,910,962,1102,1103,1209,1301,1220,1337,1241,1240,1215,1172,1168,1222,1314,1383,1429,1370,1390,1443,1335,1374,1345,1637,1394,1559,1609,1570,1564,1548,1432,1467,1428,1419,1504,1572,1600,1648,1629,1544,1465,1486,1408,1524,1591,1644,1593,1633,1613,1544,1582,1512,1443,1507,1540,1620,1707,1654,1707,1602,1886,1456,1417,1426,1545,1568,1574,1532,1565,1574,1597,1456,1372,1482,1527,1500,1526,1558,1513,1582,1432,1392,1372,1393,1413,1387,1337,1312,1359,1295,1244,1171,1092,1126,1025,959,903,1049,821,806,671,662,667,588,551,522,508,502,461,442,409,356,348,315,305,292,277,260,284,216,185,200,183,157,174,134,134]
[34,42,41,60,73,68,82,95,142,136,174,218,344,347,408,458,583,642,780,992,884,1018,926,898,909,1025,1188,1226,1412,1382,1435,1326,1248,1281,1227,1206,1319,1336,1403,1478,1428,1428,1451,1357,1381,1342,1410,1531,1853,2100,1693,1569,1592,1518,1500,1421,1434,1529,1634,1640,1630,1581,1671,1535,1528,1543,1522,1576,1598,1570,1710,1638,1575,1623,1412,1463,1441,1606,1667,1623,1628,1673,1574,1563,1459,1524,1841,1594,1657,1639,1594,1535,1507,1525,1480,1515,1468,1521,1559,1486,1559,1478,1560,1513,1432,1365,1357,1402,1370,1323,1300,1421,1257,1221,1186,1114,1022,1013,930,903,878,838,737,896,721,665,615,575,572,525,530,404,420,416,367,355,300,307,270,283,260,226,194,228,186,181,157,165,151,148]
[43,59,50,64,63,83,86,84,106,150,169,236,267,323,455,469,530,709,855,940,1083,1038,1024,929,896,1020,1118,1254,1438,1562,1578,1656,1415,1362,1228,1305,1282,1433,1522,1608,1545,1548,1475,1397,1414,1409,1440,1516,1669,1739,1690,2048,1545,1493,1557,1512,1466,1555,1600,1745,1710,1765,1516,1555,1577,1564,1563,1592,1775,1758,1730,1745,1666,1511,1543,1582,1576,1569,1604,1782,1727,1745,1674,1555,1616,1520,1528,1645,1902,1661,1659,1528,1544,1586,1529,1447,1470,1488,1522,1540,1586,1629,1390,1450,1490,1371,1357,1413,1395,1373,1353,1259,1230,1174,1178,1072,1060,1041,937,934,852,809,747,748,705,615,711,565,579,514,501,430,417,375,343,317,323,295,310,268,243,229,232,196,185,197,173,133,145,136]
[42,44,53,65,48,70,86,94,134,144,169,219,285,340,420,537,574,865,909,1127,1323,1316,1192,1040,974,1002,1161,1367,1639,1912,2133,1914,1673,1493,1459,1361,1433,1488,1526,1789,1874,1786,1612,1508,1469,1544,1457,1540,1741,1975,1940,1882,1762,1643,1949,1611,1522,1631,1817,1947,2029,1837,1718,1576,1601,1518,1582,1691,1874,1970,1968,1834,1698,1732,1579,1599,1530,1721,1718,1983,1865,1882,1652,1617,1669,1536,1600,1569,1807,1818,1834,2005,1589,1566,1491,1455,1457,1618,1581,1687,1625,1596,1506,1436,1437,1351,1368,1362,1516,1462,1422,1403,1258,1219,1193,1061,1012,1029,975,939,855,870,756,749,667,633,586,585,642,516,459,409,427,401,372,339,309,304,277,258,246,210,199,176,196,179,178,159,150,143]
[41,52,56,75,69,80,96,98,139,156,174,197,264,322,459,530,667,789,1062,2049,2080,1978,1669,1204,1206,1168,1289,1454,1782,2454,2614,2404,2140,1865,1605,1542,1475,1475,1817,2209,2384,2023,1885,1699,1585,1528,1625,1670,1922,2334,2338,2276,1954,1919,1787,1687,1624,2066,1987,2274,2196,2052,1942,1755,1732,1595,1688,1723,2053,2336,2275,2170,1942,1783,1730,1614,1620,1749,2044,2276,2273,2073,1988,1804,1674,1662,1693,1657,1999,2221,2135,1928,1794,1655,1886,1543,1577,1604,1693,1815,1918,1713,1540,1496,1426,1401,1409,1480,1606,1817,1729,1582,1331,1252,1190,1106,1004,1053,992,936,883,798,744,700,695,630,611,572,526,514,427,544,413,365,345,318,321,333,280,275,236,227,242,233,184,200,171,167,158,146]
[31,53,65,52,60,76,93,109,106,142,188,210,286,295,448,575,608,735,1197,2081,2925,2807,2826,1692,1272,1207,1394,1570,2057,2831,3195,2914,2613,2261,1727,1553,1608,1723,1976,2597,2905,2711,2330,1853,1694,1529,1631,1818,2098,2798,2930,2645,2438,2096,1836,1762,1729,1802,2298,3241,2745,2525,2214,1919,1757,1726,1667,2005,2392,2819,2724,2525,2167,1873,1779,1666,1780,1962,2405,2859,2850,2569,2186,1892,1804,1697,1681,1876,2246,2626,2568,2369,1956,1701,1559,1553,1592,1989,1925,2199,2191,1840,1601,1507,1429,1409,1484,1541,1903,2104,2030,1706,1412,1172,1137,1079,1069,1005,995,954,868,821,771,672,621,616,615,583,533,495,463,413,427,385,404,347,334,321,299,252,254,241,218,217,179,185,154,178,154,143]
[37,59,56,62,57,73,116,103,117,145,179,216,267,323,393,514,601,724,1030,1925,2701,2906,2428,1734,1313,1419,1312,1447,1937,2579,3067,3009,2561,2097,1830,1520,1539,1649,1826,2273,2796,2722,2266,1890,1607,1539,1697,1784,2090,2674,3008,2807,2446,2053,1824,1724,1699,1830,2178,2516,2806,2657,2773,1943,1748,1607,1779,1873,2328,2756,2813,2698,2215,1862,1702,1669,1769,1876,2305,2804,2733,2666,2207,1884,1735,1646,1739,1743,2144,2479,2568,2213,1918,1689,1613,1484,1570,1536,1715,2074,2537,1857,1611,1445,1422,1409,1522,1508,1826,2147,2031,1689,1406,1277,1131,1166,1044,1045,898,916,881,850,845,734,659,702,609,549,580,537,499,405,405,364,364,328,322,347,288,276,251,222,219,227,194,180,171,163,153,140]
[33,52,56,55,57,70,86,110,120,134,179,222,281,309,397,496,566,689,866,1308,1795,2191,1844,1401,1213,1143,1127,1351,1823,1933,2198,2379,2098,1780,1674,1403,1379,1391,1690,1925,2156,2095,1922,1685,1557,1544,1617,1670,1754,2123,2336,2362,2098,1806,1701,1659,1641,1714,1850,2080,2371,2289,2041,1788,1607,1908,1661,1763,2000,2273,2489,2298,1978,1679,1587,1589,1615,1811,1972,2243,2360,2353,1941,1736,1684,1567,1647,1710,1778,2100,2171,2054,1731,1639,1494,1548,1578,1613,1592,1757,1837,1633,1476,1748,1464,1314,1485,1424,1612,1660,1670,1434,1299,1243,1195,1096,1073,1012,944,952,924,809,765,709,607,619,630,556,566,490,457,441,396,403,360,357,321,302,324,286,302,226,228,206,204,204,153,139,144,142]
[32,46,58,55,78,78,80,86,111,149,158,213,279,305,404,470,537,591,761,934,1049,1271,1169,1061,987,963,1087,1138,1255,1475,1759,2070,1609,1460,1291,1301,1333,1404,1464,1563,1678,1670,1597,1471,1463,1416,1437,1562,1684,1742,1903,1809,1712,1594,1612,1533,1593,1604,1667,1754,1949,1901,1779,1604,1586,1544,1497,1573,2024,1762,1845,1783,1678,1602,1529,1470,1515,1591,1760,1803,1916,1816,1712,1556,1487,1562,1555,1499,1577,1653,1680,1683,1630,1594,1517,1387,1442,1518,1574,1568,1543,1470,1464,1486,1361,1386,1645,1311,1467,1446,1406,1302,1277,1179,1144,1046,1033,1035,939,903,838,805,721,700,662,629,569,536,520,480,429,417,435,376,372,335,321,296,304,250,248,200,198,209,174,176,166,145,131,131]
[50,51,62,62,75,76,86,101,146,159,180,198,268,299,403,457,553,586,653,803,963,992,1020,946,920,996,1085,1136,1233,1327,1444,1399,1348,1323,1561,1334,1391,1330,1417,1533,1543,1542,1451,1412,1450,1428,1468,1491,1639,1708,1781,1740,1675,1556,1579,1460,1534,1584,1665,1625,1731,1702,1665,1595,1433,1438,1549,1517,1590,1677,1667,1980,1614,1576,1478,1412,1514,1538,1606,1592,1708,1683,1599,1560,1506,1449,1501,1530,1568,1541,1655,1629,1567,1548,1396,1487,1471,1487,1487,1575,1572,1456,1511,1468,1360,1324,1329,1287,1599,1291,1305,1234,1198,1185,1119,992,1014,966,962,850,857,784,733,697,678,594,601,508,474,483,494,438,388,392,337,314,282,297,263,245,261,210,223,204,166,159,171,135,137,111]
[39,47,54,54,59,78,73,96,111,185,168,189,259,327,437,473,493,573,671,787,820,946,945,909,893,1002,1041,1152,1235,1213,1328,1340,1279,1169,1214,1232,1142,1587,1401,1440,1415,1405,1436,1383,1339,1319,1412,1476,1588,1661,1557,1548,1541,1528,1462,1473,1420,1448,1545,1603,1616,1744,1572,1456,1499,1425,1528,1468,1542,1628,1465,1599,1546,1538,1769,1499,1406,1544,1604,1599,1587,1591,1588,1505,1423,1468,1473,1412,1595,1507,1620,1561,1515,1546,1428,1402,1468,1516,1420,1446,1471,1435,1522,1485,1445,1300,1292,1280,1311,1305,1367,1474,1258,1168,1069,989,1009,1025,982,902,818,737,762,712,613,652,560,503,514,496,452,405,434,355,361,351,305,293,269,237,247,239,219,206,168,160,149,156,132,143]
[44,57,71,60,66,88,79,93,123,136,180,216,251,322,419,468,519,584,712,812,928,940,879,851,865,991,994,1134,1232,1221,1261,1292,1151,1188,1177,1172,1272,1314,1416,1492,1699,1414,1358,1335,1333,1321,1345,1412,1550,1611,1640,1498,1460,1538,1425,1452,1387,1482,1560,1640,1571,1570,1520,1435,1442,1416,1407,1467,1542,1481,1451,1528,1494,1454,1322,1349,1440,1799,1586,1539,1569,1611,1451,1451,1393,1401,1444,1571,1566,1583,1588,1482,1552,1476,1440,1448,1401,1503,1475,1543,1443,1482,1510,1362,1366,1325,1351,1330,1359,1328,1222,1227,1118,1083,1276,972,984,977,906,850,845,788,739,662,616,601,585,523,483,413,433,431,375,344,318,296,281,271,231,225,229,228,177,161,180,154,134,136,111,133]
[42,44,36,69,73,100,85,95,112,149,191,201,269,302,412,474,526,663,824,940,1043,1127,964,904,890,983,1115,1197,1313,1371,1372,1290,1247,1195,1106,1229,1241,1355,1495,1529,1508,1493,1617,1318,1336,1406,1437,1526,1620,1678,1598,1664,1520,1489,1399,1423,1471,1520,1686,1678,1724,1693,1545,1448,1426,1434,1426,1380,1511,1495,1526,1490,1465,1449,1391,1447,1523,1548,1603,1616,1920,1606,1596,1474,1463,1425,1456,1486,1606,1612,1542,1510,1478,1576,1487,1412,1444,1500,1522,1570,1645,1551,1411,1409,1378,1251,1254,1358,1392,1341,1290,1230,1175,1131,1169,997,1004,1185,913,905,792,735,707,663,659,609,572,559,509,455,410,407,381,363,297,290,265,245,263,236,228,209,188,177,163,170,149,140,147,103]
[45,43,46,57,74,74,76,106,142,149,164,203,270,316,381,451,552,692,868,1129,1304,1274,1198,977,970,934,1017,1142,1212,1512,1643,1548,1339,1290,1239,1327,1268,1366,1413,1634,1724,1582,1466,1338,1394,1636,1460,1497,1529,1754,1777,1778,1618,1460,1415,1448,1516,1593,1805,1865,1875,1775,1665,1496,1495,1449,1494,1502,1555,1636,1694,1610,1426,1414,1415,1440,1504,1620,1755,1762,1789,1683,1608,1867,1525,1425,1484,1615,1742,1792,1797,1735,1595,1535,1468,1379,1478,1459,1554,1675,1626,1579,1515,1451,1312,1372,1329,1355,1366,1380,1365,1261,1181,1201,1128,1020,922,1004,974,838,1026,762,709,639,589,542,507,512,467,421,427,385,339,334,309,327,301,274,259,210,223,215,190,177,190,154,117,134,142,126]
[27,49,49,48,67,84,95,102,117,138,156,234,235,310,375,492,625,863,1054,1780,2189,2102,1760,1286,1080,1130,1068,1267,1504,1875,2121,1990,1794,1527,1346,1301,1316,1391,1549,2037,2180,1917,1761,1524,1434,1413,1463,1519,2136,2195,2136,2086,1903,1676,1526,1504,1565,1601,1996,2245,2264,2186,1900,1669,1531,1499,1466,1466,1672,1938,1918,1804,1634,1487,1412,1394,1429,1603,1945,2147,2141,1947,1754,1564,1576,1431,1807,1681,2036,2104,2155,2062,1742,1563,1478,1459,1513,1511,1891,2063,1950,1961,1720,1445,1407,1331,1327,1352,1595,1772,1780,1516,1290,1215,1113,1089,974,972,916,828,790,754,685,774,632,596,499,495,483,432,432,367,334,327,300,308,280,244,249,239,194,214,193,169,170,166,130,149,142,102]
[41,51,50,53,69,79,85,94,130,132,155,219,237,280,515,514,637,904,1413,2436,3035,3037,2495,1819,1360,1176,1165,1314,1629,2351,2729,2636,2282,1725,1405,1319,1360,1448,1751,2461,2568,2284,2110,1790,1472,1386,1450,1628,2074,2537,2796,3101,2215,1789,1597,1548,1549,1651,2227,2710,2803,2668,2149,1810,1576,1518,1471,1599,1873,2348,2213,2139,1754,1611,1493,1427,1603,1713,2301,2592,2577,2367,2020,1710,1562,1463,1559,1806,2753,2650,2529,2317,1810,1606,1429,1459,1532,1644,2042,2399,2493,2167,1733,1509,1395,1347,1401,1535,1954,2122,2109,1834,1358,1250,1089,1091,1066,886,962,867,746,759,727,653,574,594,627,506,436,417,384,375,362,345,312,274,274,263,239,217,204,187,178,161,154,159,129,126,126,111]
[40,41,44,60,58,68,101,100,128,111,202,193,288,333,376,487,567,926,1316,2313,3045,2969,2565,1807,1392,1153,1188,1375,1591,2312,2845,2910,2330,1845,1535,1283,1416,1536,1782,2353,2509,2488,1983,1705,1575,1418,1547,1595,1915,2320,2760,2561,2194,1806,1902,1528,1608,1768,2261,2488,2801,2580,2139,1776,1546,1524,1625,1594,1849,2203,2245,2053,1743,1502,1422,1490,1571,1754,2122,2498,2556,2347,1854,1699,1557,1433,1576,1709,2152,2495,2737,2750,1906,1592,1481,1454,1533,1700,2003,2482,2327,1999,1643,1478,1467,1505,1457,1568,1823,2051,1942,1591,1387,1198,1080,1060,1042,977,930,885,849,760,703,646,619,518,510,513,472,572,446,394,358,338,307,331,284,261,248,275,201,206,197,156,158,154,160,132,120,122]
[38,52,49,69,77,74,81,92,120,145,189,214,265,325,392,473,549,671,880,1266,2333,2281,1802,1561,1311,1130,1159,1180,1368,1659,2070,2262,1910,1569,1375,1325,1334,1397,1530,1899,1993,1808,1698,1566,1450,1385,1392,1451,1764,1887,2090,2112,1825,1653,1415,1507,1530,1882,1811,2145,2264,2237,1828,1573,1525,1543,1474,1528,1592,1871,1788,1786,1602,1443,1453,1445,1569,1608,1714,2041,2115,1951,1781,1526,1403,1423,1447,1597,1739,2012,2190,2007,1663,1448,1613,1798,1467,1605,1758,2035,1860,1703,1508,1412,1421,1447,1457,1472,1534,1644,1536,1394,1213,1158,1103,1107,1028,970,939,843,821,794,692,638,602,538,473,501,499,442,405,481,341,339,278,277,271,271,244,239,217,200,206,176,146,147,138,121,118,131]
[39,41,54,57,57,87,78,106,108,150,180,196,258,314,349,461,515,617,723,949,1177,1292,1531,1156,1053,1025,1067,1186,1170,1385,1514,1489,1455,1298,1260,1276,1252,1347,1460,1543,1554,1514,1461,1427,1361,1326,1322,1474,1464,1655,1726,1716,1550,1465,1388,1399,1420,1509,1581,1860,2175,1762,1664,1474,1390,1448,1419,1480,1467,1498,1588,1507,1449,1433,1338,1440,1420,1405,1516,1702,1672,1619,1500,1532,1392,1346,1423,1491,1586,1723,1698,1582,1545,1513,1409,1335,1400,1710,1525,1532,1667,1560,1405,1317,1364,1314,1270,1317,1402,1375,1393,1284,1266,1159,1087,1099,1046,964,949,871,771,797,715,641,581,558,517,458,458,445,386,379,356,302,388,266,274,262,251,253,209,181,180,175,150,153,136,124,107,112]
[31,52,55,54,71,71,95,100,118,131,144,202,226,274,383,467,500,610,640,794,941,1038,1067,945,963,1179,1068,1124,1173,1162,1256,1295,1259,1150,1197,1185,1341,1301,1415,1386,1373,1418,1354,1324,1267,1285,1270,1351,1375,1424,1445,1450,1395,1423,1403,1322,1376,1441,1490,1563,1613,1583,1776,1398,1419,1334,1378,1417,1445,1399,1504,1471,1417,1423,1343,1315,1444,1417,1439,1500,1486,1531,1517,1515,1392,1226,1311,1387,1430,1429,1543,1500,1456,1382,1354,1391,1330,1350,1438,1453,1739,1400,1384,1385,1265,1328,1299,1351,1340,1366,1362,1213,1176,1077,1083,1060,1010,994,906,873,806,733,688,641,613,551,512,481,429,437,397,348,356,351,322,272,277,339,272,238,216,184,173,175,159,155,103,109,102,105]
[32,51,50,74,76,70,80,108,115,162,173,180,242,339,377,439,494,612,638,774,838,894,863,944,964,955,1059,1138,1428,1228,1237,1224,1181,1127,1108,1120,1164,1200,1325,1388,1404,1305,1301,1242,1221,1194,1233,1201,1295,1369,1357,1333,1331,1277,1326,1164,1243,1366,1412,1416,1444,1487,1499,1325,1332,1541,1297,1342,1432,1404,1383,1410,1384,1385,1312,1345,1309,1299,1430,1409,1451,1446,1393,1416,1343,1228,1327,1321,1394,1460,1401,1467,1378,1356,1355,1266,1297,1318,1401,1373,1448,1361,1377,1583,1229,1249,1243,1283,1397,1341,1357,1290,1175,1126,1053,1062,1018,995,939,830,803,745,652,688,572,581,551,495,410,434,410,364,369,307,266,272,262,237,211,224,234,177,156,161,133,151,121,111,113,99]
[31,36,65,54,72,70,79,130,103,137,181,217,242,315,395,446,509,553,636,804,825,887,892,819,871,915,1039,1081,1135,1190,1235,1525,1184,1101,1021,1079,1056,1123,1206,1292,1328,1276,1206,1159,1125,1095,1157,1098,1238,1319,1261,1270,1243,1186,1189,1241,1268,1363,1406,1414,1432,1407,1366,1336,1271,1218,1345,1276,1657,1326,1370,1438,1308,1263,1192,1224,1277,1258,1383,1389,1354,1401,1303,1282,1216,1202,1185,1279,1319,1373,1351,1341,1324,1270,1229,1246,1284,1326,1315,1350,1462,1378,1383,1311,1270,1460,1237,1320,1343,1343,1340,1262,1161,1141,1020,1012,929,907,856,832,750,688,669,603,565,556,513,437,423,381,364,355,315,320,299,260,239,246,228,206,188,182,172,170,134,117,147,119,98,93]
[31,48,47,47,67,84,75,99,119,141,156,191,240,334,381,452,500,619,717,853,977,959,960,878,844,886,949,1079,1182,1291,1266,1236,1220,1152,1264,1136,1242,1040,1231,1319,1384,1293,1223,1133,1123,1102,1113,1158,1164,1223,1306,1216,1195,1155,1127,1111,1198,1223,1366,1341,1403,1356,1415,1218,1253,1199,1275,1248,1376,1365,1415,1724,1320,1229,1242,1264,1274,1288,1306,1314,1409,1435,1303,1232,1236,1197,1220,1337,1299,1361,1356,1396,1281,1291,1206,1303,1266,1185,1325,1340,1396,1280,1322,1311,1198,1133,1215,1275,1639,1327,1352,1351,1255,1146,1057,984,893,913,817,767,738,682,581,605,566,523,472,456,383,411,383,357,359,305,261,245,239,226,229,206,171,174,142,176,152,121,149,95,97,108]
[37,53,48,60,71,78,69,98,134,142,167,220,237,331,381,489,573,710,879,1085,1149,1294,1153,927,931,893,989,1150,1230,1444,1526,1494,1351,1235,1158,1159,1187,1426,1317,1414,1511,1391,1287,1250,1179,1176,1143,1076,1239,1277,1293,1261,1224,1121,1164,1152,1135,1258,1438,1527,1672,1462,1424,1245,1201,1223,1263,1293,1403,1534,1577,1476,1457,1315,1499,1192,1248,1288,1500,1525,1552,1503,1379,1322,1365,1294,1189,1364,1334,1542,1530,1427,1407,1313,1276,1237,1238,1393,1388,1610,1571,1473,1366,1306,1235,1218,1238,1308,1544,1628,1602,1767,1368,1309,1099,1027,942,871,869,787,718,733,668,577,519,520,520,435,410,390,347,342,316,289,291,268,238,223,185,202,178,158,161,149,142,137,130,136,126,106]
[33,48,66,58,65,84,81,121,130,146,186,219,278,334,377,472,639,827,1119,1715,2104,1933,1691,1200,1099,1003,1110,1202,1498,1998,2091,2003,1730,1433,1321,1236,1236,1235,1393,1774,2227,1679,1532,1374,1218,1193,1104,1127,1331,1486,1497,1455,1284,1241,1164,1231,1286,1454,1710,1961,1958,1766,1538,1418,1353,1307,1326,1428,1752,2023,2015,1805,1634,1508,1304,1304,1369,1725,1762,2104,2035,1890,1589,1434,1370,1320,1285,1505,1750,2145,1871,1772,1515,1319,1328,1330,1406,1455,1762,1987,1964,1748,1429,1293,1301,1218,1457,1566,1964,2188,2080,1869,1542,1339,1406,1052,896,873,912,801,745,706,657,547,526,500,465,443,453,395,333,287,296,248,248,254,231,218,191,169,166,179,161,151,111,123,131,119,83,97]
[43,37,50,56,68,93,90,98,129,124,182,244,258,314,417,456,679,869,1519,2514,2761,2737,2247,1536,1206,1085,1122,1329,1675,2308,2860,2545,2177,1769,1421,1263,1236,1347,1625,2232,2441,2312,2239,1397,1273,1092,1179,1195,1392,1764,1966,1668,1373,1296,1127,1251,1298,1395,1879,2237,2223,2048,1752,1501,1328,1348,1391,1579,1993,2455,2358,2187,1754,1479,1412,1319,1395,1628,2033,2443,2885,2146,1606,1539,1308,1322,1459,1591,2102,2396,2374,2030,1640,1466,1303,1284,1380,1578,2062,2483,2418,2135,1564,1402,1275,1309,1478,1760,2551,2905,2609,2221,1699,1319,1176,1035,1026,1057,834,713,674,658,645,574,526,478,476,482,408,385,371,315,315,279,262,262,247,207,201,201,184,148,151,142,120,138,126,118,100,85]
[30,41,56,42,81,85,67,103,143,127,173,222,258,308,399,475,601,755,1254,2072,2717,2643,2230,1494,1268,1094,1109,1218,1614,2166,2569,2669,1926,1759,1346,1256,1266,1327,1557,1970,2208,2183,1751,1449,1221,1334,1143,1206,1375,1680,1693,1632,1375,1245,1123,1174,1326,1406,1707,2164,2327,2085,1723,1368,1346,1266,1416,1451,1904,2252,2367,2147,1689,1414,1335,1266,1340,1500,1809,2189,2322,2193,1665,1685,1210,1308,1361,1493,2050,2238,2194,1903,1487,1307,1273,1220,1357,1556,1957,2284,2160,1843,1500,1367,1219,1304,1423,1681,2279,2715,2487,2104,1600,1268,1175,989,1002,958,838,749,846,651,632,562,527,438,419,377,394,361,325,312,281,245,258,233,213,211,224,177,173,144,126,139,125,113,107,95,91,84]
[33,48,55,52,62,80,72,91,121,131,186,271,278,337,386,446,552,645,841,1233,1714,1849,1668,1319,1127,990,1013,1075,1265,1603,1876,1930,1704,1496,1279,1199,1176,1246,1348,1537,1762,1663,1435,1265,1175,1185,1086,1256,1506,1274,1397,1322,1227,1118,1124,1126,1214,1312,1458,1783,1736,1670,1509,1348,1243,1252,1276,1368,1526,1702,1820,1727,1495,1286,1290,1305,1264,1350,1439,1653,1778,1727,1512,1311,1277,1520,1303,1363,1526,1691,1844,1662,1396,1354,1230,1240,1291,1295,1480,1754,1679,1544,1361,1274,1242,1276,1363,1469,1738,1949,2059,1627,1363,1198,1105,1061,992,929,864,759,727,649,557,665,513,442,444,414,393,317,342,299,289,281,238,233,216,230,183,169,162,139,141,120,131,111,112,111,80,87]
[44,44,42,55,66,58,76,97,109,131,189,223,235,331,478,484,560,626,828,1018,1127,1278,1116,1057,938,990,986,1022,1176,1345,1430,1515,1377,1216,1076,1067,1071,1134,1156,1185,1347,1267,1244,1144,1071,1088,1053,1104,1109,1136,1196,1507,1195,1133,1086,1156,1167,1235,1363,1462,1385,1403,1272,1273,1185,1165,1177,1319,1336,1389,1522,1415,1299,1233,1199,1192,1259,1334,1398,1527,1407,1360,1253,1227,1205,1165,1202,1292,1609,1441,1381,1380,1340,1180,1227,1197,1200,1286,1304,1423,1431,1310,1303,1213,1254,1244,1258,1308,1476,1469,1616,1325,1235,1096,1123,972,920,861,803,769,730,594,628,571,475,463,534,407,372,366,305,337,280,287,254,230,227,191,180,176,162,137,134,130,122,84,93,92,88,80]
[36,45,54,60,76,70,74,98,112,148,167,168,235,302,356,444,603,680,772,829,957,1052,974,903,866,1019,978,1053,1075,1186,1270,1270,1122,1081,1031,1091,1028,1112,1176,1207,1162,1135,1127,1138,1034,1015,1043,1102,1141,1183,1117,1065,1126,1081,1283,1092,1199,1150,1225,1283,1256,1227,1199,1249,1194,1152,1166,1191,1235,1284,1331,1269,1255,1252,1177,1212,1186,1257,1315,1254,1275,1354,1251,1185,1143,1190,1165,1263,1219,1253,1258,1512,1254,1266,1190,1185,1191,1276,1308,1348,1314,1245,1168,1262,1144,1196,1198,1315,1335,1267,1319,1235,1138,1126,1020,933,931,808,750,681,660,644,573,509,473,422,414,370,415,349,333,331,280,244,244,226,191,209,167,150,158,124,125,114,109,103,88,74,78,69]
[28,56,54,45,66,87,82,83,116,138,135,194,260,306,378,419,514,587,619,849,838,836,970,865,897,845,994,992,1102,1153,1092,1078,1023,1058,948,1015,981,1043,1043,1096,1067,1079,1087,977,1002,937,965,1060,1034,1100,1023,1066,1111,1048,1039,1048,1031,1303,1209,1182,1168,1125,1169,1127,1116,1147,1083,1175,1255,1206,1172,1229,1182,1147,1057,1173,1128,1214,1193,1204,1242,1261,1210,1235,1181,1062,1132,1110,1202,1187,1165,1184,1188,1179,1245,1074,1136,1153,1218,1231,1258,1232,1208,1208,1111,1143,1154,1229,1220,1244,1203,1179,1113,1005,974,987,946,862,798,714,681,614,555,520,478,454,403,363,343,341,314,315,267,254,232,193,178,169,148,165,125,102,120,88,102,98,90,77,77,52]
[42,34,58,54,64,77,93,110,114,130,175,172,218,266,366,408,486,564,639,756,869,868,1025,786,807,814,900,927,1023,1113,1167,1132,1023,933,889,919,921,958,1054,1011,1029,1041,956,909,967,894,948,918,1074,986,1049,978,986,978,969,902,968,967,1055,1372,1096,1049,1046,1039,1027,1022,973,1034,1047,1124,1175,1094,1046,1070,1045,956,1137,1155,1164,1192,1227,1202,1152,1072,1053,1071,1083,1091,1124,1105,1234,1098,1086,1107,1020,1090,1048,1301,1143,1160,1237,1176,1165,1130,1094,1041,1089,1106,1171,1195,1166,1095,1068,997,965,958,914,836,722,689,644,579,541,552,460,453,373,354,322,290,309,267,249,251,254,194,183,165,170,154,122,123,117,103,98,95,72,62,69,60]
[35,32,48,52,60,72,84,92,88,142,139,183,245,306,373,441,513,596,786,877,975,1016,927,782,789,986,905,1029,1098,1118,1241,1117,1047,938,867,944,961,981,1107,1154,1113,1085,973,938,916,903,912,969,1064,1090,1110,1041,941,926,951,920,922,1009,971,1016,1108,1091,1248,960,969,882,1045,1051,1059,1136,1176,1045,1033,1001,997,1002,1069,1098,1235,1198,1245,1262,1177,1105,1093,1025,1012,1146,1184,1196,1200,1143,1072,1025,1053,997,1032,1116,1116,1162,1412,1192,1115,993,985,1012,1013,1098,1119,1224,1217,1114,1015,963,985,884,862,793,669,622,618,529,494,460,421,397,361,362,317,288,270,277,258,208,202,177,175,204,151,113,107,107,87,104,81,73,74,80,61,45]
[56,52,58,55,76,82,104,127,106,183,203,256,312,407,528,650,774,953,1267,1554,1393,1155,988,901,902,939,1222,1202,1425,1526,1304,1163,986,983,919,922,1035,1159,1374,1454,1252,1141,1027,933,953,930,1041,1113,1283,1312,1199,1077,986,981,914,958,1048,1042,1238,1331,1148,1103,1006,1151,967,1017,1053,1197,1343,1437,1158,1051,1010,1008,1027,1037,1246,1394,1540,1520,1317,1304,1077,1089,984,1061,1092,1251,1332,1344,1235,1136,1011,983,1039,1029,1135,1252,1458,1312,1261,1226,1050,964,972,1039,1184,1302,1420,1345,1180,1031,1007,893,783,727,763,653,614,567,494,462,427,400,378,360,335,275,294,247,225,231,199,199,169,183,144,130,140,110,93,106,95,77,68,65,62,51,43,43]
[32,49,48,55,47,63,92,84,101,114,156,169,245,268,357,436,670,810,1259,1872,2254,2386,1869,1344,1144,975,927,1080,1324,2212,2008,1889,1619,1282,1021,944,983,1153,1232,1753,1828,1768,1462,1187,1065,874,970,1000,1250,1694,1809,1727,1508,1088,1054,983,908,977,1225,1542,1704,1624,1348,1047,1074,994,1178,1071,1333,1717,1696,1521,1240,1134,1003,1036,1181,1267,1615,1900,2151,1854,1518,1285,1135,1036,1089,1138,1499,1787,1838,1682,1342,1179,1017,990,1052,1199,1359,1874,1849,1734,1317,1145,1191,1008,1112,1212,1487,1848,1806,1584,1138,1019,931,820,753,699,636,571,529,511,444,389,400,344,320,309,307,222,231,224,224,204,169,164,129,139,132,133,105,115,104,80,77,68,70,56,48,53]
[37,40,37,60,56,76,91,105,91,145,152,177,233,256,344,526,575,906,1435,2362,3148,3086,2527,1927,1398,1122,1091,1215,1481,2251,2632,2472,2430,1419,1099,950,965,1123,1422,2091,2157,2086,1759,1263,1117,885,965,1051,1402,1897,2140,1967,1644,1218,1014,916,933,1015,1290,1923,2125,2055,1507,1236,994,940,1000,1147,1359,2399,2042,1800,1429,1135,1112,964,1121,1319,1780,2408,2512,2063,1677,1391,1085,1008,1066,1223,1659,2077,2187,1953,1405,1248,1003,989,1094,1237,1745,2218,2221,1896,1399,1122,1062,1045,1449,1322,1958,2443,2134,1645,1218,1063,928,829,723,653,606,574,485,459,424,386,374,354,344,331,297,238,226,222,220,174,164,148,149,129,135,114,97,95,96,81,86,68,65,51,54,50]
[40,39,40,57,60,72,88,82,78,124,142,187,202,234,348,460,504,726,1034,1873,2557,2807,2429,1754,1424,1101,997,1089,1097,1796,2231,2393,1976,1448,1167,1120,972,1028,1207,1552,1865,1928,1576,1245,1008,851,939,963,1196,1517,1791,1782,1507,1214,1002,930,927,965,1142,1502,1834,1734,1438,1145,973,940,934,1033,1273,1496,1808,1753,1696,1043,982,942,1016,1295,1558,2000,2157,2015,1542,1222,1091,904,1056,1137,1340,1758,1806,1744,1262,1095,992,964,972,1158,1425,1962,1956,1886,1348,1031,971,960,1060,1279,1459,2428,1917,1454,1061,969,812,811,711,645,637,534,446,494,388,369,337,363,305,251,269,236,239,182,179,149,162,151,138,136,116,133,102,97,86,63,70,58,45,61,48,34]
[39,45,45,45,53,57,70,76,94,105,147,198,211,277,353,432,557,648,862,1334,1734,1968,1723,1342,1156,1013,995,962,1156,1285,1568,1554,1378,1113,979,915,894,935,1202,1180,1413,1344,1189,1032,918,850,836,927,1016,1129,1311,1295,1128,1013,861,818,879,899,968,1178,1273,1251,1111,988,924,861,910,1028,1084,1202,1224,1288,1076,991,911,1094,997,1099,1224,1472,1524,1392,1119,996,983,906,955,968,1105,1258,1302,1169,1034,919,907,888,978,1054,1144,1376,1402,1305,1087,967,961,972,959,1126,1192,1305,1455,1229,1167,854,806,798,660,621,568,512,460,418,389,315,307,282,272,249,215,209,185,188,176,171,148,130,140,122,117,94,96,80,75,65,51,60,33,59,52,51]
[37,51,49,43,54,50,78,80,102,131,152,161,213,274,341,429,470,574,801,973,1217,1245,1201,1064,975,910,911,981,1063,1124,1315,1227,1083,986,895,910,852,914,923,1032,1307,1080,974,968,811,791,811,902,898,1002,1062,981,913,902,790,846,892,904,935,1048,1056,1041,955,930,912,834,894,878,996,993,1020,1028,939,930,845,862,886,931,1280,1241,1134,1102,1062,958,907,922,836,918,1023,1098,1000,1014,923,909,890,874,918,955,1114,1152,1183,1106,1007,1010,912,1002,973,948,1150,1124,1162,998,917,879,814,922,654,626,580,548,479,414,377,313,302,280,256,254,237,201,175,175,185,132,135,155,139,100,110,116,93,68,83,49,70,50,51,45,41,32]
[28,40,43,51,51,70,79,72,109,125,155,166,218,277,328,424,510,566,647,830,883,956,972,878,829,876,933,986,1024,1051,1066,1142,1035,921,791,827,851,905,852,926,903,939,901,984,765,741,779,762,855,912,963,940,916,886,779,764,779,863,846,918,958,922,922,825,878,804,816,873,896,1025,917,934,913,831,868,825,856,918,981,1016,1012,1178,952,849,900,839,892,855,921,961,1034,958,937,837,901,859,842,874,1001,1062,1042,1073,920,976,919,934,856,905,1006,1090,1041,899,891,822,809,799,631,630,687,475,439,382,333,322,298,271,238,213,211,234,173,175,174,153,125,142,108,122,99,88,80,60,68,67,49,43,41,38,31,28]
[26,44,53,47,47,57,64,81,99,119,129,140,198,255,325,386,457,541,635,704,857,792,786,839,816,828,888,926,972,994,979,1030,931,853,854,735,732,752,735,776,795,755,771,752,672,620,780,709,774,771,773,771,795,712,743,712,708,796,783,879,891,902,855,768,775,767,730,780,846,861,829,851,826,761,779,719,771,832,904,864,852,870,857,808,897,723,742,771,898,846,864,897,854,818,773,774,759,849,966,1006,1020,1020,972,967,944,872,862,880,923,953,990,921,817,812,732,741,653,594,532,463,448,495,376,301,285,265,223,223,199,190,156,160,169,148,133,111,119,99,72,85,86,88,79,65,57,42,37,48,37,38]
[41,30,39,36,62,61,69,68,105,115,123,142,246,242,316,370,424,535,688,800,810,824,801,764,742,795,915,917,1030,1149,1165,1079,974,806,784,768,706,748,745,689,760,681,675,617,641,615,629,680,694,843,722,664,692,677,649,613,730,722,808,814,818,757,726,733,710,631,720,697,681,823,803,868,777,727,720,701,732,697,802,786,815,814,813,728,661,686,837,756,861,851,869,856,838,714,764,732,728,905,984,1086,1140,1078,1025,905,854,835,827,900,917,895,970,834,807,740,649,652,595,570,533,492,404,370,339,285,290,244,208,177,178,178,160,143,147,118,114,114,95,91,80,73,68,73,63,66,40,36,37,48,33,32]
[30,35,42,45,55,53,53,64,108,99,133,157,157,200,289,442,478,649,830,957,1025,1046,860,787,681,770,926,1031,1181,1329,1388,1285,1090,953,803,778,740,751,748,789,790,804,611,607,574,645,625,679,737,786,782,717,818,653,570,604,660,681,791,864,863,836,718,647,649,635,637,754,785,812,811,792,698,623,609,654,674,703,767,835,872,804,677,651,650,725,741,807,877,1104,993,940,854,792,707,775,825,1039,1119,1239,1279,1381,1137,975,877,873,804,946,931,1002,1094,973,840,798,684,630,543,501,477,451,385,365,304,268,249,223,203,229,190,154,148,139,147,104,107,89,84,87,82,64,55,60,62,40,47,45,43,39,39,27]
[31,35,35,41,42,48,55,60,71,82,118,156,146,212,253,323,492,745,1163,1325,1699,1459,1364,977,908,850,916,1149,1449,1777,2064,1762,1528,1242,952,812,752,742,758,863,918,842,746,638,605,578,593,655,816,923,952,961,790,665,657,706,595,744,847,1015,1158,996,819,722,656,597,582,718,803,957,989,924,806,670,626,649,644,751,778,896,958,862,811,695,653,647,725,800,1004,1192,1334,1192,1240,887,779,848,871,1178,1481,1807,1826,1684,1466,1200,954,844,846,1057,1188,1357,1416,1251,982,851,684,578,530,462,432,387,367,320,250,255,235,203,173,161,155,138,165,126,95,91,97,76,65,62,69,64,50,54,55,54,35,41,32,34,38,25]
[29,37,34,32,47,56,57,46,74,81,122,119,126,177,254,319,541,749,1141,1867,2336,2618,1790,1489,1200,1006,1045,1278,1782,2437,2739,2454,2000,1469,1142,805,759,775,881,1208,1401,1290,990,681,610,571,555,684,935,1317,1582,1497,1146,877,686,634,588,743,1381,1719,1689,1690,1298,909,714,584,660,743,994,1469,1450,1463,1000,811,651,584,630,726,877,1355,1353,1245,888,749,627,587,706,951,1282,1832,1921,1742,1254,1038,850,968,1059,1500,2165,2801,2597,2172,1806,1422,1077,862,984,1176,1786,2308,2157,1874,1338,979,729,501,457,399,431,334,296,290,273,224,189,205,169,131,137,132,116,114,135,71,51,75,83,57,52,49,41,55,48,35,30,32,32,31,26,25]
[35,34,31,41,56,42,46,69,66,81,94,105,137,203,232,294,500,736,1283,2333,3026,3000,2585,1917,1657,971,1047,1285,1829,2931,3343,3089,2311,1713,1215,866,751,774,961,1335,1650,1621,1139,799,576,533,489,686,1012,1632,1816,1671,1405,868,701,520,578,700,1080,1916,2067,2336,1384,906,709,534,588,698,1008,1549,1773,1636,1204,860,586,502,552,679,912,1495,1754,1451,1054,770,565,576,759,927,1493,2417,2483,2161,1415,1017,840,773,1052,1444,2959,3335,3086,2561,1901,1273,949,868,1051,1425,2203,2882,2659,2261,1382,863,640,449,422,422,367,304,283,235,217,171,159,144,159,139,127,119,105,100,88,78,66,68,64,62,51,55,49,28,28,31,24,27,24,25,29,16]
[22,32,32,40,38,46,60,67,72,70,76,127,116,168,209,273,374,584,1090,1715,2539,2658,2145,1656,1323,913,1063,1050,1462,2282,2726,2747,2012,1500,1092,746,611,690,752,1065,1286,1274,923,650,531,430,480,538,753,1246,1451,1430,1016,752,536,458,495,617,846,1360,1679,1597,1099,725,634,451,505,610,830,1187,1341,1108,765,639,477,416,438,613,841,1179,1262,994,767,557,475,512,630,789,1166,1705,1896,1578,1125,793,643,627,923,1225,1907,2566,2639,2730,1511,950,846,758,915,1242,1817,2359,2415,1726,1033,715,508,432,394,329,286,271,288,236,194,209,169,136,112,120,131,92,98,68,69,61,62,55,65,54,49,41,45,44,35,30,25,24,20,16,22,14]
[25,24,28,22,30,44,51,42,64,62,75,71,124,110,171,212,294,450,646,1107,1561,1822,1506,1204,991,713,672,748,984,1718,1945,1848,1571,1152,880,688,573,573,539,623,798,730,654,517,431,388,412,423,533,678,820,842,687,618,488,354,385,472,492,725,966,969,742,565,400,374,338,503,520,703,759,658,523,456,379,346,390,446,571,712,801,666,547,490,390,428,419,577,780,960,1147,1071,759,624,515,593,681,872,1268,1747,1919,1685,1192,854,769,542,624,953,1119,1446,1489,1225,787,567,398,342,319,302,268,237,220,216,188,157,121,139,118,109,106,74,77,75,71,58,59,49,49,44,39,37,36,47,31,29,30,20,15,23,19,18]
[20,29,30,31,43,30,46,56,61,65,66,84,104,138,158,170,227,296,422,672,890,998,941,844,659,543,534,563,734,911,1099,1114,1210,831,655,508,429,405,489,534,527,489,507,402,373,329,312,384,405,453,560,532,461,368,369,333,328,337,379,474,549,517,440,376,312,296,303,287,386,409,538,480,382,352,318,284,301,348,389,506,528,455,454,378,348,391,387,474,579,703,752,674,568,447,447,431,531,659,871,1163,1239,1022,730,668,510,470,461,742,789,889,848,698,537,367,305,270,256,251,224,210,199,169,149,117,108,112,96,101,75,79,58,71,57,59,62,44,48,39,43,35,33,29,32,41,28,23,18,15,11,15]
[31,21,22,46,26,44,48,50,60,77,88,93,127,156,129,176,204,323,409,552,565,607,521,479,459,463,473,597,727,769,766,709,599,512,518,358,386,402,454,365,387,366,339,301,244,298,303,301,385,400,405,358,330,269,278,296,260,319,343,405,326,312,308,251,247,239,277,270,302,355,299,373,286,259,244,259,286,342,365,339,350,312,346,302,341,329,395,462,481,550,489,435,395,365,386,426,501,620,726,732,630,539,473,434,400,401,418,514,676,601,467,382,340,273,247,216,199,167,184,124,122,125,101,116,79,77,74,54,75,64,40,50,44,40,42,36,30,39,27,26,28,21,16,21,15,18,15,14,12,20]
[17,27,36,33,33,31,35,42,68,56,51,73,98,98,134,145,167,203,261,304,319,377,358,358,370,346,396,448,422,518,511,497,488,468,401,339,384,369,326,343,336,326,301,272,230,246,246,243,266,282,304,297,274,257,246,267,242,255,271,286,278,284,284,270,222,208,221,187,240,258,249,227,232,271,223,235,241,251,294,288,317,273,283,278,254,274,299,340,382,416,405,415,379,351,367,375,350,420,522,508,489,471,423,411,369,387,359,363,374,396,442,363,289,296,225,209,191,163,171,141,129,117,98,106,97,83,69,72,63,59,43,46,32,38,44,35,33,29,27,21,28,24,24,27,20,15,13,17,13,12]
[15,24,26,28,23,36,35,40,40,51,51,59,76,92,95,111,132,159,150,219,234,261,295,291,295,289,359,323,397,365,409,396,397,348,342,308,331,332,302,340,302,252,268,238,224,246,250,225,248,269,248,225,215,206,197,194,231,211,227,244,221,242,212,222,180,221,170,181,184,232,220,220,235,187,200,208,239,228,231,260,256,269,250,203,280,229,281,292,332,335,346,317,321,322,338,297,307,341,387,395,363,370,366,310,338,320,295,307,342,280,269,318,241,263,199,167,178,162,130,120,113,101,83,61,70,73,64,57,46,44,48,55,48,44,39,27,27,27,20,17,19,19,24,21,15,18,10,14,3,14]
[20,26,28,17,39,28,32,42,48,52,59,63,77,85,87,107,122,128,145,176,206,201,218,194,200,260,268,293,297,324,274,287,303,273,268,279,247,235,256,255,230,261,225,214,221,230,182,195,186,202,210,195,188,174,213,191,194,194,167,179,197,206,175,163,160,151,166,159,170,185,180,178,190,190,172,189,175,183,161,226,196,232,222,206,231,210,224,231,258,269,251,284,255,250,233,253,263,289,303,272,271,291,245,276,273,241,245,258,215,257,247,231,184,177,197,160,176,143,118,106,96,90,93,76,64,73,55,38,33,46,41,31,37,28,28,33,33,20,12,14,18,20,13,21,13,24,6,8,9,9]
[13,13,24,25,25,40,52,41,33,44,47,53,65,86,66,67,105,93,124,137,150,161,180,178,185,224,228,232,226,228,228,235,223,252,194,225,196,185,208,193,202,172,167,163,204,180,181,177,150,151,174,157,165,139,172,164,158,139,141,151,181,143,142,160,146,148,135,153,152,132,121,142,142,160,141,166,171,168,158,162,182,162,189,172,198,172,187,191,173,218,232,190,189,209,226,214,195,225,218,239,225,243,224,204,220,209,221,219,224,198,204,165,166,124,146,135,125,131,90,115,95,84,65,67,80,55,40,48,50,35,30,33,40,33,25,26,29,25,29,25,16,22,19,20,12,12,16,13,7,13]
[20,23,20,24,19,21,20,22,46,36,51,50,62,54,69,71,77,94,93,117,133,153,134,162,183,174,184,171,215,189,203,196,181,157,181,178,186,158,162,179,187,177,155,154,158,136,158,193,161,171,149,153,110,138,128,137,131,134,141,127,126,144,125,128,113,147,123,130,123,157,129,136,112,110,145,142,145,118,143,158,151,134,126,136,166,167,145,156,205,175,162,190,150,168,179,175,157,164,189,207,181,187,179,197,182,191,187,171,167,171,132,140,123,137,121,105,108,107,98,90,82,70,89,81,55,65,47,51,35,42,39,43,45,12,27,24,29,17,25,17,13,13,12,18,6,14,13,9,9,11]
[15,13,21,22,20,21,22,32,32,44,32,51,48,66,58,62,62,76,93,97,110,107,119,136,148,121,153,140,156,160,147,173,139,139,142,140,150,150,178,166,126,133,128,147,133,145,122,131,160,121,149,123,122,118,128,112,129,107,95,106,102,105,99,105,93,104,107,96,107,109,103,119,111,95,117,103,114,134,96,121,125,117,101,111,125,117,128,152,137,133,118,126,164,133,150,156,151,168,148,155,141,147,136,133,155,158,154,152,138,141,131,114,124,113,106,100,101,81,78,98,59,70,72,58,45,72,39,36,41,34,30,26,37,18,21,13,16,18,29,17,14,16,10,12,20,13,10,8,13,8]
[18,15,24,21,21,24,20,26,37,32,36,48,40,54,66,59,73,65,73,83,71,105,92,100,129,119,128,112,132,128,134,132,111,114,130,119,102,124,134,120,135,119,97,121,96,114,96,96,121,111,123,104,112,125,107,100,90,94,88,99,100,105,101,87,101,89,78,84,84,74,84,103,69,78,86,98,95,66,92,91,99,107,97,96,111,105,108,111,117,116,150,128,114,114,131,122,110,129,122,120,139,122,133,119,122,112,138,142,111,124,105,106,85,106,89,105,85,73,71,65,74,72,65,52,34,44,38,38,35,35,33,34,29,34,24,18,22,18,19,16,16,13,12,13,11,12,7,9,4,8]
[10,18,19,18,20,19,19,38,25,33,29,40,40,38,54,58,42,58,79,69,84,85,98,86,91,96,102,109,103,97,115,131,104,115,91,109,126,115,100,113,117,117,110,93,81,89,109,86,67,94,94,92,99,70,87,98,104,80,82,69,87,74,59,72,80,80,89,83,83,98,83,78,72,92,78,83,87,107,83,91,86,91,81,79,104,102,95,82,95,90,111,97,125,117,103,110,112,128,110,123,118,113,116,109,112,125,121,108,98,104,97,88,92,83,86,80,73,68,61,67,50,56,45,55,39,30,39,33,28,43,40,27,20,26,24,22,13,19,14,16,21,15,8,11,16,8,6,15,12,4]
[11,13,13,15,16,19,26,20,18,26,21,42,40,47,44,46,38,47,55,61,65,84,76,70,73,85,78,92,94,95,104,100,109,97,95,103,84,91,98,92,95,74,79,91,89,101,75,75,76,79,70,76,76,84,69,85,72,63,70,96,61,69,77,71,74,78,77,74,70,69,66,69,75,67,73,66,65,75,74,78,80,99,88,71,80,72,83,98,84,100,105,95,74,81,87,87,94,104,98,94,88,105,98,86,81,90,91,91,96,74,76,81,91,78,59,56,79,55,50,48,42,57,38,48,43,34,31,30,26,24,21,20,20,22,27,18,20,19,17,19,19,16,17,9,9,6,11,5,12,9]
[14,8,16,12,10,21,22,22,32,15,26,33,40,34,40,44,37,42,52,50,50,57,65,86,70,77,80,74,71,89,86,90,71,93,76,84,79,83,93,59,78,105,86,74,75,71,68,83,70,80,47,83,72,71,66,65,61,77,68,66,57,57,72,59,68,65,67,59,46,56,62,59,55,70,71,46,63,56,62,71,56,71,59,81,70,63,68,79,76,70,81,88,78,87,85,74,67,67,73,104,93,96,89,95,81,78,78,73,89,81,99,77,80,60,63,73,50,55,40,48,45,44,47,36,25,31,35,36,24,27,16,25,27,19,22,18,19,18,16,13,14,11,17,11,13,10,13,9,4,5]
[22,16,19,15,20,13,19,13,26,25,15,26,31,37,37,34,49,39,32,39,56,48,38,72,65,56,59,79,55,75,71,75,67,86,77,90,74,70,70,59,76,68,75,79,67,60,64,62,72,60,62,76,50,84,55,74,66,48,63,60,57,54,71,65,59,59,43,60,49,52,66,64,53,55,59,48,55,53,42,71,67,61,65,62,65,62,70,70,72,83,71,74,74,63,80,55,83,55,86,88,91,75,83,61,52,84,82,60,56,66,61,54,71,53,60,59,46,46,43,38,40,34,44,24,28,33,32,26,24,19,22,18,20,18,23,22,21,16,11,10,12,8,16,13,9,9,10,9,10,11]
[17,12,15,16,14,21,17,23,28,21,21,27,27,32,35,38,47,33,37,46,32,47,47,53,45,60,45,54,59,60,76,47,48,52,73,60,51,66,74,56,64,61,73,81,63,47,74,43,56,67,57,62,62,50,51,55,42,52,53,60,56,64,51,47,64,47,51,66,50,48,49,65,53,47,63,57,44,53,50,58,63,57,53,63,68,52,60,64,52,75,52,62,63,70,67,53,71,62,68,62,74,63,63,71,63,68,69,64,62,71,47,58,50,56,64,34,52,40,43,36,25,43,32,22,33,36,17,27,30,21,20,22,20,24,13,13,22,18,7,10,11,4,15,11,16,12,8,10,9,9]
[9,13,13,7,18,19,23,17,13,30,20,26,26,32,23,37,27,26,38,54,39,41,44,44,41,52,54,57,34,36,41,46,39,67,46,43,62,62,58,47,54,45,59,60,59,61,44,43,46,50,50,47,66,49,41,39,47,55,51,41,53,45,48,58,57,35,50,43,46,44,65,46,45,64,47,47,52,39,46,60,53,46,41,51,58,47,56,53,47,77,46,60,56,72,54,56,66,59,47,61,53,51,63,60,57,36,53,57,58,48,40,46,44,45,40,46,46,29,19,25,32,23,31,21,23,17,27,24,21,22,18,16,14,11,16,18,8,9,21,10,18,7,12,10,13,13,6,8,9,6]
[11,16,12,15,10,16,12,17,12,18,22,23,21,19,26,29,15,28,33,26,35,32,31,37,43,32,29,41,56,45,52,40,53,34,45,45,66,36,47,48,55,52,51,45,47,59,60,56,53,50,51,53,34,36,45,44,45,48,38,53,50,59,43,56,49,43,41,40,40,54,38,49,44,54,57,53,35,42,46,59,56,41,56,40,48,35,37,42,42,56,47,58,49,47,46,43,46,47,38,51,51,56,56,52,49,49,40,34,50,42,41,57,40,36,46,30,35,30,30,27,27,31,25,34,23,24,18,12,14,21,15,19,15,14,9,18,10,11,7,11,12,13,6,9,12,8,8,17,6,8]
[8,9,12,14,12,15,20,13,11,16,17,28,25,20,28,19,28,28,33,30,34,43,40,43,49,35,37,34,40,34,32,39,42,49,40,48,42,45,41,53,38,33,36,45,28,49,45,43,51,45,52,41,51,53,51,42,40,50,32,40,52,40,47,47,47,34,41,47,49,30,41,32,35,51,34,34,45,39,54,39,55,50,36,45,38,38,38,51,34,44,46,47,52,40,39,42,36,36,38,49,52,46,48,44,50,39,35,29,44,33,34,36,40,35,50,30,31,33,28,37,35,33,33,30,18,16,26,22,14,13,12,21,22,10,13,10,20,10,10,12,13,7,10,16,8,8,9,15,3,11]
[10,11,12,18,11,13,9,10,14,19,9,20,17,22,21,22,18,27,24,33,39,29,44,48,32,28,33,39,48,35,31,30,36,42,40,49,49,39,35,33,30,34,36,36,42,39,43,32,35,51,45,37,54,34,32,47,47,41,43,49,42,36,38,26,37,26,41,38,31,38,34,36,43,36,41,46,38,41,39,45,46,32,35,33,28,26,43,39,32,52,51,43,44,39,47,44,31,34,38,31,35,41,35,32,37,33,31,46,48,30,31,33,29,28,24,34,23,30,21,32,25,17,21,28,21,18,19,20,26,14,19,15,16,14,8,19,8,13,14,8,10,10,14,10,7,8,10,4,8,5]
[8,10,9,10,19,12,24,21,11,21,20,20,22,15,26,20,20,34,25,20,18,28,23,28,27,28,38,35,25,26,25,39,31,35,31,35,39,43,29,35,44,36,38,46,34,35,43,32,38,39,46,34,33,30,30,29,31,38,30,34,30,25,36,37,30,28,38,33,33,26,31,33,28,30,25,43,34,33,43,39,51,39,31,37,37,37,34,46,44,34,40,38,44,37,38,38,28,33,41,31,38,42,31,36,32,34,35,39,23,30,29,37,29,27,19,26,15,21,27,27,16,18,20,19,10,24,7,18,13,11,17,14,15,11,11,9,13,14,10,10,9,17,5,10,8,6,12,13,7,6]
[13,11,7,7,13,11,9,14,14,12,21,18,14,16,20,12,16,10,14,28,25,31,34,34,27,30,30,19,37,28,24,44,28,33,23,35,35,31,41,23,31,34,23,28,32,36,28,35,34,32,28,35,33,40,37,29,34,29,34,38,35,36,35,28,23,31,40,33,26,27,39,27,37,34,26,37,32,31,20,21,41,24,39,38,34,18,43,44,39,31,46,38,30,36,35,32,29,29,32,34,25,25,25,21,33,27,37,29,31,30,24,28,21,28,16,30,21,15,20,18,21,20,16,26,13,21,17,20,14,13,15,16,7,21,13,13,6,7,14,13,6,5,15,13,13,7,10,6,7,6]
[13,8,13,15,18,11,17,15,13,13,18,23,23,13,21,18,18,18,16,23,22,11,25,30,21,28,24,26,23,23,31,26,30,23,30,34,22,32,46,18,30,32,26,17,27,32,25,22,27,41,18,22,32,33,34,32,29,24,40,27,27,28,19,14,26,32,32,42,29,28,19,33,18,27,25,35,31,34,28,23,28,32,28,17,27,33,30,25,24,19,26,36,30,27,32,20,23,34,26,32,29,22,38,13,28,34,33,30,29,19,23,29,16,21,25,23,20,24,15,21,25,22,20,24,11,15,19,20,21,12,8,12,9,5,17,6,10,11,7,12,7,10,14,8,4,10,6,4,3,8]
[7,10,10,10,10,10,14,12,16,14,11,10,15,14,18,14,14,18,13,14,9,17,16,20,14,15,23,15,18,22,17,27,25,33,30,31,20,30,34,21,26,28,25,28,26,42,33,26,18,30,26,34,23,26,22,28,34,29,28,23,24,26,30,26,29,17,33,31,29,29,23,29,29,27,26,23,33,30,31,25,35,37,24,19,33,21,28,33,37,30,28,23,29,23,24,16,25,31,37,22,23,19,23,20,22,27,32,27,27,21,18,24,30,16,20,26,23,16,27,21,24,16,13,17,10,10,21,11,12,18,16,7,12,15,12,10,6,10,12,11,10,13,10,6,5,11,6,4,6,8]
[5,15,7,16,11,9,8,13,16,9,17,17,13,16,17,15,15,10,14,16,12,13,22,13,20,18,30,20,20,16,25,22,22,17,20,20,24,19,20,25,18,33,33,22,28,25,28,18,34,30,21,27,33,20,37,31,23,23,27,20,21,28,16,26,17,28,26,23,30,23,27,21,25,32,28,22,24,26,27,22,22,36,32,22,24,28,39,31,26,20,27,33,32,23,27,28,28,26,23,26,20,27,28,24,22,17,24,28,25,25,23,17,23,18,22,31,22,21,14,12,14,21,13,12,14,15,15,6,10,11,7,10,6,9,14,10,10,11,9,7,17,8,6,6,6,8,5,5,3,4]
[5,9,10,14,18,9,6,12,6,9,15,7,17,15,14,13,9,18,18,22,19,19,23,21,18,14,27,19,17,21,20,26,29,21,15,29,30,27,22,19,23,23,21,31,20,31,23,21,16,25,19,25,21,24,30,24,27,29,22,26,20,25,30,32,20,32,30,24,28,18,22,29,21,25,25,26,36,24,28,22,25,28,23,20,29,27,27,29,22,27,23,27,24,24,26,25,25,17,20,29,22,25,19,31,24,24,15,19,23,22,20,16,24,19,25,20,13,23,20,14,9,10,9,13,9,17,16,10,13,11,13,12,20,12,5,5,10,7,4,7,16,10,14,7,9,7,6,4,14,10]
[11,10,14,6,5,9,14,12,15,11,10,14,8,14,11,7,12,17,14,15,20,18,20,22,13,15,20,10,26,24,26,17,19,25,13,23,22,18,21,18,27,21,22,25,22,30,24,17,24,27,20,25,24,31,21,17,27,36,28,18,24,23,36,18,17,23,23,30,23,24,19,22,27,27,28,22,29,32,23,21,28,26,28,17,21,22,23,24,21,23,25,24,19,21,24,24,20,20,22,25,18,28,19,23,23,17,6,17,12,21,13,12,14,22,14,17,17,13,12,10,13,11,10,24,12,9,12,12,18,10,18,14,8,7,7,4,8,11,11,3,7,9,8,3,4,9,7,8,6,3]
[9,7,11,10,13,12,9,10,13,19,12,6,8,13,14,8,11,11,15,15,20,12,11,6,17,15,19,14,22,18,20,11,23,17,20,19,15,18,24,31,17,24,19,29,13,21,18,25,20,15,18,24,32,23,27,21,21,30,21,29,19,16,32,24,13,27,21,17,14,17,24,14,14,27,28,24,24,18,28,17,23,23,20,24,24,21,22,21,16,26,18,21,24,21,19,16,28,19,13,32,31,23,24,22,24,23,13,15,20,16,18,18,18,18,12,15,16,15,21,19,15,13,7,11,13,18,11,8,7,12,12,12,7,15,7,14,5,9,10,12,8,7,8,11,9,6,8,3,7,7]
[3,10,8,15,9,5,8,14,11,11,11,10,10,15,11,8,13,16,12,10,13,12,11,17,22,16,15,25,12,27,14,19,12,15,18,12,19,16,14,20,13,25,18,20,20,28,26,22,17,23,22,17,20,31,27,21,23,24,21,17,29,22,19,14,24,12,25,19,21,14,23,17,30,19,15,21,23,18,15,25,21,21,23,21,23,29,16,20,17,19,15,14,18,15,20,25,7,14,19,26,13,26,13,23,17,22,16,17,8,18,22,14,16,16,11,16,21,10,8,11,12,11,10,14,13,15,9,4,10,9,10,9,14,10,10,7,9,11,6,9,5,8,4,6,7,8,8,5,5,4]
[13,7,9,11,11,10,7,14,11,7,10,14,8,12,6,13,13,11,18,10,13,12,15,13,14,13,15,13,9,12,17,19,11,17,16,17,11,18,20,13,23,14,22,21,14,15,18,22,21,21,20,19,16,14,23,18,27,19,18,17,15,20,16,17,22,17,23,24,12,30,11,17,16,16,20,23,25,24,15,13,28,13,20,16,15,20,17,16,15,15,22,18,19,13,13,13,17,19,21,19,20,16,20,22,16,19,14,11,7,13,22,15,12,17,12,11,16,12,12,8,16,10,10,7,9,12,13,7,13,11,8,5,11,12,7,8,9,9,13,9,7,2,6,5,6,7,10,12,5,5]
[9,7,10,5,10,8,11,19,5,10,11,8,7,10,6,12,9,8,14,14,10,11,7,15,15,14,12,18,10,12,14,21,13,16,19,16,16,21,15,15,19,17,14,20,17,15,17,17,13,18,17,13,12,20,22,20,19,10,18,15,14,15,16,17,14,16,14,13,14,19,11,14,24,23,14,18,17,22,11,17,18,12,18,17,15,12,18,11,13,11,15,19,23,12,18,15,6,23,19,17,11,16,19,15,11,13,13,17,14,27,14,15,12,12,9,13,15,13,9,9,13,8,11,11,10,6,11,13,5,10,8,10,11,11,8,6,9,12,8,9,6,11,7,12,8,8,6,6,2,7]
[10,6,9,8,15,6,7,9,9,12,12,15,11,12,10,6,9,12,10,5,9,18,16,11,11,18,16,15,14,17,12,15,8,15,15,18,10,19,12,18,15,14,16,16,14,18,16,14,18,20,20,20,13,16,14,16,15,19,13,16,13,16,13,18,25,14,19,13,22,16,9,12,11,13,21,19,14,25,17,19,20,16,9,15,13,23,11,15,3,16,17,21,17,8,15,18,15,21,14,22,18,12,19,8,9,9,18,16,11,14,11,15,11,16,11,7,10,6,10,9,13,11,18,9,12,8,8,11,6,8,19,12,15,7,8,7,9,12,5,8,7,8,11,6,9,9,6,7,8,11]
[4,4,11,7,7,5,6,13,4,7,4,6,9,7,13,13,10,9,11,10,11,11,8,13,12,7,11,11,12,13,16,14,10,11,17,20,17,15,13,13,8,19,19,16,15,13,13,12,14,22,17,19,20,12,13,19,14,15,20,17,17,23,17,14,9,20,18,13,17,18,17,26,17,15,11,13,15,19,17,13,15,20,13,9,16,12,13,21,10,14,17,11,18,13,22,20,22,19,14,5,14,12,10,13,11,13,19,17,7,9,12,17,10,13,10,10,12,7,4,8,7,15,9,8,7,12,11,13,16,12,10,8,8,9,5,9,10,6,5,11,7,4,6,7,7,6,5,6,9,6]

{"sheet":"Figure_1D_layer_5","index":5,"n_rows":150,"n_cols":150,"rows_kept":150}
[10,10,8,5,17,16,18,13,23,18,27,33,35,36,38,48,63,64,65,76,108,98,120,107,146,151,158,144,181,180,166,199,204,230,219,225,221,268,283,252,266,268,302,292,294,351,322,272,295,311,285,297,257,339,336,341,323,341,336,360,357,341,346,360,361,331,362,328,365,334,368,343,401,363,353,318,358,339,329,354,340,355,394,441,363,404,350,372,387,364,327,352,386,389,350,360,349,387,320,331,314,329,332,314,321,364,313,321,330,320,300,290,302,299,275,269,282,254,240,256,272,247,227,195,205,181,199,189,165,173,162,137,141,146,124,126,129,106,107,94,115,111,78,83,75,87,68,58,76,74]
[5,5,11,14,13,15,11,18,26,23,24,41,32,42,43,68,68,78,84,89,90,134,132,123,163,184,159,188,192,173,226,223,236,256,249,291,279,296,268,283,285,305,296,312,317,350,305,351,375,335,318,298,326,329,370,351,387,364,379,395,331,343,349,359,409,363,354,367,372,375,401,367,378,347,399,380,409,366,381,373,379,369,385,354,378,379,464,361,373,412,395,351,359,409,375,367,398,380,389,356,359,357,363,343,366,414,379,337,337,339,376,317,315,339,298,312,276,271,290,288,235,264,254,258,229,215,191,195,176,167,152,165,148,149,139,128,139,121,115,105,114,103,97,68,84,70,82,62,73,57]
[11,12,9,14,11,12,14,24,27,29,26,33,43,40,81,66,68,82,93,89,113,130,134,151,174,187,202,200,234,219,234,251,265,286,287,258,302,292,315,319,326,338,318,325,352,335,325,373,358,402,402,485,398,388,393,419,391,394,354,391,370,400,396,359,390,412,408,436,381,403,387,413,398,400,403,394,400,433,400,385,404,439,398,429,365,402,426,400,472,375,392,388,405,378,421,433,418,374,402,359,369,384,402,368,377,378,387,364,345,377,329,367,344,357,334,317,320,312,305,267,268,221,261,239,236,235,238,203,157,196,186,142,146,160,134,114,122,131,116,108,105,110,96,85,72,73,88,62,74,70]
[11,11,9,14,22,14,11,24,31,36,27,29,29,44,52,80,80,110,122,120,138,164,166,169,181,200,204,223,240,249,259,281,298,290,311,307,356,320,342,342,346,376,366,358,348,334,390,411,409,380,374,410,418,437,527,455,431,416,425,452,447,428,432,425,476,477,447,442,449,462,410,411,449,443,448,432,482,459,499,452,457,461,425,439,446,456,487,423,403,444,412,488,433,404,431,430,411,417,457,415,402,445,434,442,385,385,415,360,378,399,375,368,363,353,384,357,321,321,300,277,278,264,273,291,233,252,225,188,225,173,178,151,168,160,158,167,132,132,121,108,90,96,111,97,92,90,79,84,73,77]
[13,12,10,16,11,20,25,27,26,33,43,52,55,63,90,90,113,105,140,130,199,185,161,197,217,200,216,246,285,248,321,255,325,347,358,362,350,333,361,364,377,389,389,381,428,407,435,450,447,432,427,455,415,454,450,486,468,586,449,420,444,434,484,475,471,493,484,491,458,466,491,455,504,463,482,480,511,487,457,456,480,486,489,449,496,464,445,468,471,493,496,446,472,490,535,451,472,469,476,450,450,465,468,437,452,437,469,430,387,401,393,358,375,363,366,369,391,356,311,294,315,309,292,263,260,248,215,228,211,230,188,192,204,164,159,163,126,147,118,137,112,103,86,99,80,81,70,84,81,64]
[12,11,19,24,14,21,16,32,37,28,44,51,63,74,87,101,109,121,123,171,191,185,249,269,248,226,257,273,312,295,331,341,362,366,367,388,388,429,413,387,371,423,463,452,425,439,468,460,479,435,471,473,472,500,504,491,497,452,476,495,578,507,484,480,517,533,505,483,484,547,489,526,500,522,481,550,555,511,494,522,518,506,528,524,523,513,507,515,509,487,474,503,490,505,498,528,509,616,504,468,456,467,471,433,477,458,495,406,427,434,418,388,436,395,389,402,378,321,353,327,320,312,294,288,290,259,245,245,210,189,223,180,179,172,155,171,145,147,135,121,104,106,107,96,77,97,92,95,83,81]
[14,15,11,23,22,27,30,28,31,45,57,53,66,82,97,92,127,146,160,184,172,212,213,235,271,309,288,305,319,375,346,371,381,400,382,431,423,421,452,463,420,462,436,496,498,464,509,474,535,512,525,523,497,520,533,525,498,549,570,589,534,519,702,530,542,519,598,557,538,586,554,573,584,557,599,559,590,555,551,578,580,498,581,563,597,544,518,505,600,544,567,540,511,545,513,552,503,550,471,532,585,516,522,502,478,520,491,491,481,479,461,472,448,458,422,402,409,389,360,329,314,328,293,286,290,271,255,242,241,230,227,208,188,178,165,167,160,141,162,133,124,119,128,106,83,101,99,77,95,79]
[22,18,22,25,17,18,25,38,25,46,72,61,86,97,124,122,135,156,198,216,209,229,254,255,251,317,278,327,335,428,391,412,402,423,424,456,446,492,471,493,452,464,473,537,519,506,494,564,542,544,520,568,528,527,530,562,533,538,566,632,614,558,591,619,558,569,714,554,592,573,588,606,628,603,603,553,586,651,557,612,551,556,603,596,564,572,561,542,599,575,548,591,566,601,539,553,546,542,572,549,578,559,518,633,541,539,507,533,480,457,460,481,468,459,413,425,402,406,409,375,321,363,342,315,316,290,282,244,268,231,211,209,231,186,175,153,137,154,124,138,139,160,98,104,98,105,92,77,74,71]
[17,14,21,20,20,38,25,33,56,59,74,70,98,95,129,142,152,155,212,222,244,229,246,304,281,299,346,359,410,399,439,552,484,497,497,528,506,526,562,498,533,539,570,549,579,557,580,571,568,578,575,567,605,653,621,616,590,626,595,634,612,621,631,607,628,610,601,578,654,724,644,646,628,620,695,640,640,654,635,616,566,634,659,564,640,616,602,616,658,580,588,589,634,569,655,599,640,626,574,632,548,618,592,549,561,572,648,522,510,513,534,525,512,488,452,432,424,426,400,397,390,349,354,365,334,292,262,279,220,227,221,234,178,188,187,174,164,134,146,136,125,116,126,125,96,103,84,82,76,66]
[23,23,33,26,34,33,33,42,56,69,93,88,101,110,163,179,158,217,218,228,267,306,303,333,345,344,377,401,456,479,484,485,494,520,635,500,553,541,595,586,592,569,562,606,598,631,651,588,640,574,600,648,642,618,631,647,643,723,733,669,677,678,687,687,710,659,737,683,725,695,652,613,869,660,643,663,679,693,670,693,676,601,686,662,665,686,627,674,689,645,645,606,643,697,654,663,640,624,665,634,612,628,589,645,619,634,605,592,621,727,543,505,527,517,531,484,448,498,476,395,371,361,400,383,360,343,317,278,262,241,257,216,209,204,191,163,185,152,158,127,143,109,120,89,109,108,104,103,104,82]
[24,23,27,36,33,40,40,45,67,73,86,112,110,138,134,196,197,220,264,277,309,305,312,344,402,389,426,420,462,513,500,536,558,573,563,561,565,753,582,632,664,665,656,685,658,660,716,696,672,719,685,724,734,700,730,740,741,748,709,753,712,685,777,747,735,755,738,772,742,743,715,674,722,724,732,865,723,764,735,693,673,713,750,739,755,686,703,746,708,699,724,744,702,694,722,735,660,730,705,678,695,694,688,687,650,648,672,612,617,618,626,584,624,542,527,513,483,493,472,475,403,398,383,376,351,311,343,305,260,236,259,215,185,228,178,200,158,166,166,148,146,123,125,126,98,106,95,104,76,98]
[23,26,37,40,35,41,55,58,67,91,104,118,142,155,183,222,212,237,267,321,336,351,378,428,406,464,476,517,480,548,558,563,628,634,629,638,677,691,653,651,850,681,663,756,734,709,751,761,736,709,794,808,725,777,807,823,756,790,806,791,792,816,808,780,784,778,861,821,798,762,820,815,835,783,819,761,835,989,767,784,769,777,736,784,810,805,816,811,826,725,723,782,780,721,780,816,779,782,775,733,743,754,745,753,719,662,708,656,680,665,647,614,596,614,578,701,542,492,529,471,404,421,415,400,357,360,331,344,313,275,280,251,251,228,238,163,186,173,146,165,135,146,125,113,109,103,99,94,74,92]
[24,23,37,29,37,48,74,80,88,97,113,138,167,171,185,192,252,257,308,334,399,401,408,436,450,493,493,569,596,620,671,664,687,694,703,671,705,753,747,719,764,781,756,947,784,801,769,799,812,775,767,787,833,833,866,856,859,855,804,859,846,916,901,944,866,896,865,878,853,851,838,873,840,827,808,882,838,877,863,851,1046,818,848,862,813,798,842,842,830,849,827,826,831,831,787,774,785,810,750,815,784,757,791,738,760,732,743,729,746,644,678,657,672,633,601,609,536,661,495,479,450,444,465,386,393,354,374,306,284,318,295,252,257,222,230,208,189,195,195,179,155,139,131,130,120,113,97,102,90,86]
[23,31,33,38,42,49,62,62,101,109,135,145,173,186,223,232,271,301,297,367,404,436,475,476,543,532,587,566,656,660,669,713,670,726,751,740,793,804,766,834,819,849,831,872,881,1027,801,904,850,878,864,910,886,870,917,929,889,950,932,928,933,901,917,924,955,928,948,951,970,924,957,951,899,894,920,921,938,891,856,899,913,933,912,1088,881,860,826,867,876,881,910,879,840,848,834,910,891,873,814,838,820,850,801,803,821,800,742,713,765,716,755,695,650,709,746,614,566,560,547,525,591,456,454,448,421,374,364,347,293,283,280,251,237,222,195,201,208,190,155,191,151,139,129,102,135,112,104,110,105,55]
[30,29,34,31,49,57,71,83,102,117,159,192,207,231,256,300,326,340,387,417,423,469,525,564,546,554,661,672,685,744,771,791,821,836,822,829,848,842,874,943,912,886,955,929,917,902,912,919,1135,953,954,957,959,1002,981,1044,984,1009,957,986,1027,982,1044,1043,1039,971,1003,995,1006,998,970,1058,996,983,1015,917,996,918,976,980,968,955,943,969,972,946,1154,911,921,931,978,907,931,896,963,911,958,863,917,841,884,930,849,948,834,830,847,825,839,788,722,750,760,683,745,700,649,613,581,529,566,514,478,567,447,423,363,347,335,315,291,258,274,246,215,216,203,185,168,153,132,162,142,131,127,109,110,111,95,110]
[35,33,43,45,56,59,76,85,110,129,128,155,194,247,309,297,338,354,440,452,505,527,557,635,623,710,710,758,806,839,836,884,897,924,908,901,933,947,1027,978,962,1028,1041,986,1092,1026,1017,1034,1034,1007,1025,1312,1054,1065,1123,1044,1097,1066,1121,1132,1129,1150,1098,1139,1177,1122,1101,1076,1142,1146,1074,1102,1109,1076,1102,1029,1074,1064,1018,1072,1043,1056,1047,1047,1077,1073,1102,1073,991,1194,1035,954,1025,1023,996,983,1019,987,934,942,945,953,949,893,975,937,883,908,842,845,897,852,837,770,781,675,691,628,624,609,552,549,522,496,475,416,467,369,336,315,308,302,272,238,220,234,186,173,172,198,160,160,136,149,136,117,107,97,107,104]
[37,42,50,53,55,81,105,94,113,149,130,171,246,276,324,324,390,579,456,482,602,620,705,686,741,741,860,806,868,901,921,963,1019,1021,1030,969,1011,1051,1070,1043,1043,1111,1121,1044,1111,1067,1103,1136,1174,1141,1155,1151,1196,1232,1384,1105,1176,1210,1194,1311,1222,1251,1259,1247,1236,1161,1196,1138,1132,1173,1181,1239,1185,1179,1175,1150,1138,1189,1082,1077,1124,1124,1143,1174,1105,1108,1088,1113,1030,1119,1121,1187,1291,1018,1131,1044,1010,1064,1092,1002,1025,1105,1029,1023,1053,983,928,930,970,948,961,840,863,815,780,743,743,688,678,634,596,574,549,447,486,443,393,426,355,434,303,283,282,260,240,227,221,199,168,190,160,169,148,132,141,116,113,128,105,110]
[53,48,34,64,66,81,88,111,142,153,155,239,236,320,337,378,419,462,520,612,743,637,727,776,786,847,840,895,1036,986,1018,1088,1051,1102,1085,1068,1129,1124,1158,1213,1219,1229,1139,1276,1175,1189,1143,1176,1163,1265,1234,1243,1273,1285,1285,1220,1222,1489,1282,1237,1259,1327,1328,1279,1266,1249,1252,1340,1263,1294,1253,1310,1247,1230,1256,1206,1277,1242,1227,1230,1229,1239,1149,1245,1160,1174,1160,1177,1191,1150,1136,1211,1144,1135,1165,1292,1098,1059,1115,1098,1111,1112,1084,1069,1043,1068,1017,981,1020,1024,946,943,909,868,844,765,798,746,710,644,580,635,507,487,478,465,422,383,383,308,315,299,326,267,212,222,228,209,216,187,174,146,143,129,127,119,127,132,98,108]
[49,47,45,56,68,81,105,113,111,168,163,253,252,287,374,438,463,525,581,656,709,832,763,987,902,939,1008,1030,1145,1094,1204,1231,1177,1162,1184,1247,1296,1281,1211,1304,1316,1373,1277,1337,1258,1274,1299,1341,1314,1380,1290,1428,1450,1357,1339,1370,1372,1328,1352,1380,1713,1487,1379,1381,1405,1474,1315,1373,1368,1329,1336,1375,1309,1418,1322,1284,1287,1315,1307,1330,1308,1360,1347,1274,1273,1220,1183,1209,1276,1206,1302,1232,1254,1237,1212,1205,1166,1195,1399,1198,1135,1149,1136,1186,1129,1139,1117,1111,1055,1063,1061,988,967,899,909,850,782,769,747,725,696,624,538,546,522,487,431,411,400,376,373,298,313,272,274,274,199,182,216,183,186,159,162,159,141,130,102,111,97,101]
[52,68,51,76,65,83,99,116,148,177,193,259,286,350,383,466,584,639,736,821,850,874,897,982,971,1031,1318,1111,1207,1260,1321,1275,1386,1338,1337,1313,1305,1302,1403,1437,1526,1470,1470,1383,1464,1424,1408,1426,1478,1430,1534,1565,1469,1508,1475,1446,1474,1495,1585,1642,1558,1553,1597,1805,1628,1400,1429,1509,1490,1504,1519,1556,1515,1381,1389,1356,1394,1340,1423,1421,1443,1357,1357,1305,1303,1323,1288,1359,1358,1387,1460,1347,1473,1301,1266,1227,1215,1245,1343,1288,1271,1547,1256,1248,1216,1163,1160,1233,1175,1108,1087,1058,1020,953,976,911,857,847,773,742,628,628,596,545,490,519,492,406,418,366,384,357,287,282,275,255,215,227,241,235,185,196,193,138,134,123,137,122,111,88]
[52,51,56,73,80,92,120,115,151,169,250,232,329,349,396,556,600,682,757,882,991,972,971,1018,1067,1126,1146,1295,1289,1600,1455,1346,1399,1463,1366,1439,1369,1423,1460,1581,1557,1638,1499,1510,1432,1389,1453,1497,1557,1531,1537,1540,1543,1489,1443,1563,1507,1548,1653,1639,1700,1681,1657,1566,1592,1566,1819,1619,1520,1629,1606,1659,1587,1548,1522,1401,1434,1397,1522,1522,1473,1492,1454,1466,1413,1417,1330,1414,1440,1484,1487,1446,1516,1415,1346,1347,1365,1312,1402,1387,1359,1349,1289,1324,1540,1273,1252,1263,1236,1216,1223,1199,1134,1014,970,939,904,858,759,748,687,675,627,637,569,530,480,462,422,393,407,351,334,306,290,299,239,265,234,187,189,221,162,163,141,143,131,129,122,101]
[44,67,73,59,91,81,113,138,167,192,244,259,308,367,411,504,651,776,890,1065,1153,1178,1240,1180,1225,1269,1239,1346,1434,1596,1542,1604,1923,1631,1492,1492,1550,1586,1578,1757,1785,1871,1714,1663,1613,1640,1621,1660,1803,1807,1733,1782,1823,1666,1700,1667,1664,1681,1711,1915,1896,1777,1840,1772,1722,1602,1666,1701,1740,2103,1785,1826,1707,1678,1607,1616,1566,1541,1625,1621,1687,1528,1630,1570,1534,1498,1475,1492,1642,1656,1639,1509,1550,1546,1413,1455,1471,1451,1561,1469,1479,1502,1408,1414,1392,1334,1616,1294,1421,1408,1449,1315,1266,1120,1096,965,917,877,866,833,715,663,657,558,615,546,496,498,466,437,392,342,365,345,314,262,257,246,238,220,208,199,182,161,196,143,144,124,120,106]
[70,63,81,56,69,85,96,152,171,208,222,259,319,409,448,608,741,955,1089,1267,1403,1511,1626,1415,1475,1458,1483,1563,1672,1886,1831,1965,1842,1759,2072,1690,1653,1815,1914,1951,2125,2087,1961,1863,1843,1720,1768,1864,1950,2077,2186,2086,1873,1876,1842,1729,1804,1940,2019,2111,2148,2131,2099,1926,1794,1779,1780,1802,1952,2149,2217,2478,1925,1831,1743,1717,1599,1658,1726,1910,1921,1895,1713,1637,1665,1644,1632,1722,1737,1838,1965,1813,1695,1649,1647,1500,1607,1578,1635,1690,1791,1709,1660,1559,1504,1491,1542,1453,1957,1575,1600,1497,1319,1267,1159,1007,950,952,841,814,783,765,741,666,586,563,515,488,454,419,436,352,347,324,324,251,246,269,216,238,217,204,154,174,143,170,106,156,110,100]
[61,68,67,93,108,114,115,132,167,232,238,328,360,403,525,665,805,1046,1285,1591,1759,1806,1862,1684,1527,1560,1581,1650,1815,2147,2325,2221,2146,2037,1802,1797,1731,2196,2184,2304,2441,2326,2284,2028,1850,1854,1794,1908,2137,2332,2339,2318,2113,2059,1873,1767,1888,1861,2165,2503,2584,2429,2269,2036,1938,1877,1742,1954,2042,2334,2334,2335,2145,1920,2277,1714,1658,1743,1893,2090,2132,1961,1936,1838,1718,1664,1609,1788,1898,2109,2125,2032,1977,1773,1656,1655,1637,1649,1769,1967,1937,1859,1824,1637,1555,1555,1570,1605,1695,1833,1838,2071,1607,1337,1221,1171,1034,1014,886,865,794,735,713,634,612,598,547,490,455,400,413,394,371,296,293,272,258,249,276,229,217,179,178,158,151,156,147,136,149,120]
[84,57,100,84,98,131,115,148,177,226,293,306,394,444,625,686,1005,1215,1656,1950,2161,2273,2253,2077,1728,1756,1695,1897,2159,2439,2650,2636,2486,2147,1933,1893,1884,2041,2467,3075,2636,2570,2452,2125,1962,1939,1993,2161,2335,2550,2642,2585,2378,2144,1892,1859,1970,2065,2413,2743,2732,2564,2544,2217,1923,1961,2019,2087,2269,2690,2700,2493,2315,2159,1817,1900,1893,2318,2080,2287,2328,2199,1997,1908,1736,1757,1878,1985,2126,2317,2365,2307,2076,1895,1788,1694,1724,1845,2031,2176,2134,1961,1902,1798,1678,1716,1783,1745,1865,2095,2010,1796,1720,1550,1557,1175,1128,1010,947,848,766,753,688,688,653,594,514,518,501,431,396,379,331,335,290,264,269,241,223,226,178,189,172,167,140,134,108,127,91,111]
[61,67,82,90,93,142,138,153,204,267,276,329,355,483,565,762,1016,1325,1851,2360,2807,3003,2768,2378,2102,1981,2090,2023,2427,2808,3036,3256,3035,2443,2110,2047,2135,2237,2434,2978,3109,3306,3480,2433,2068,2117,2136,2352,2537,2904,3193,3063,2849,2455,2205,2063,2176,2365,2678,3082,3306,3246,2888,2565,2157,2121,2204,2390,2460,3009,3093,2952,2799,2309,2151,2025,2062,2176,2252,2484,3301,2488,2371,2041,1925,1957,1980,2107,2482,2696,2739,2597,2421,1987,1886,1888,1942,1936,2200,2543,2592,2454,2209,1964,1820,1782,1881,1992,2189,2408,2494,2228,1931,1662,1473,1336,1212,1368,975,899,843,829,750,664,619,560,556,505,451,414,443,410,331,334,328,265,245,254,243,207,210,188,173,154,153,139,136,133,107,113]
[58,77,76,80,120,116,139,171,228,268,299,340,393,481,562,733,1095,1242,1892,2415,3281,3368,3119,2633,2213,2120,2031,2044,2443,2892,3551,3605,3316,2688,2268,2128,2202,2251,2696,3190,3652,3522,3071,2618,2255,2117,2661,2383,2720,3211,3507,3455,2885,2500,2326,2162,2273,2467,2787,3335,3675,3468,3086,2618,2250,2275,2344,2392,2690,3101,3600,3374,2946,2499,2176,2142,2112,2230,2327,2649,2957,2823,2573,2639,1943,2032,2077,2227,2403,2954,3105,2895,2459,2155,1922,1948,2014,2140,2296,2715,2879,2569,2281,2182,1914,1858,1963,2002,2237,2618,2759,2259,2006,1746,1466,1287,1327,1106,1060,960,1048,823,732,728,619,648,568,463,519,442,451,363,363,322,299,324,256,227,214,207,225,214,180,169,142,152,140,127,120,117]
[76,73,82,94,101,121,149,182,198,246,311,445,437,539,605,755,990,1286,1602,2153,2745,3070,2787,2422,2020,1834,1891,1846,2261,2625,2982,3102,2904,2552,2250,2116,2022,2107,2375,2723,3233,3255,2966,2623,2350,2185,2103,2193,3111,2800,3252,3173,2782,2530,2349,2234,2223,2302,2611,3074,3277,3180,2908,2603,2282,2185,2210,2380,2631,2949,3321,3188,2820,2459,2227,2088,2090,2171,2216,2500,2734,2753,2537,2232,2092,1964,2448,2123,2267,2649,2758,2676,2366,2063,2032,1957,1801,2002,2062,2347,2605,2528,2345,2027,1961,1945,1821,1984,2057,2292,2524,2433,2075,1779,1632,1468,1267,1182,1044,968,825,857,771,810,602,580,523,483,470,448,399,403,351,332,275,282,295,231,211,212,198,208,148,155,152,167,124,131,117,92]
[63,83,98,96,130,140,145,199,229,236,310,380,416,505,767,775,974,1071,1426,1778,2166,2263,2175,1975,1924,1744,1701,1853,2019,2298,2599,2492,2298,2318,2190,2014,1907,2052,2235,2477,2787,2765,2631,2291,2293,2129,2067,2135,2230,2503,2590,3224,2608,2301,2291,2191,2208,2171,2309,2525,2799,2856,2555,2301,2298,2144,2138,2245,2261,2521,2710,2602,2503,2355,2200,2066,2057,2014,2125,2280,2402,2447,2322,2205,2121,2013,2003,1960,2545,2319,2533,2312,2154,2107,1958,1916,1887,1903,1946,2145,2284,2331,2058,2046,1892,1872,1795,1806,1947,2112,2229,2136,1933,1868,1648,1513,1301,1153,1058,981,920,852,785,733,706,673,657,509,481,450,436,375,380,349,313,269,276,281,228,215,185,191,177,176,161,143,117,125,106,102]
[74,99,98,104,112,162,143,206,205,247,323,347,416,500,591,717,858,1217,1141,1530,1901,2034,2002,1760,1749,1689,1673,1645,1854,2105,2348,2231,2301,2156,2089,1935,1861,1904,2088,2251,2517,2543,2511,2307,2268,2015,2073,2056,2111,2382,2661,2649,2453,2283,2657,2217,2171,2135,2225,2451,2704,2732,2397,2332,2227,2093,2059,2178,2228,2355,2455,2592,2495,2224,2208,2007,1969,1979,2125,2266,2406,2493,2305,2158,2126,1964,1863,1883,1973,2145,2227,2788,2172,2015,2021,1775,1754,1957,1964,2084,2264,2222,2005,1953,1890,1828,1760,1821,1891,2085,2083,2178,1871,1709,1713,1530,1318,1238,1049,962,835,869,749,756,631,654,561,544,518,537,436,403,385,321,281,299,295,255,253,234,199,218,157,177,151,150,132,100,110,106]
[73,100,121,103,119,136,172,172,237,280,305,398,385,542,627,728,913,1000,1077,1279,2071,1798,1743,1508,1620,1657,1656,1595,1718,1887,2130,2043,2070,2036,1985,1994,1948,1913,1965,2105,2347,2367,2258,2084,2138,2157,2094,1991,1942,2248,2299,2391,2293,2137,2086,2146,2100,2449,2080,2365,2485,2528,2354,2150,2122,2123,2097,2026,2182,2302,2469,2468,2315,2101,2116,2062,1929,1901,1924,2101,2271,2311,2171,2047,2089,2039,1851,1840,1860,1916,2148,2354,2180,1971,1918,2243,1919,1919,1876,1936,2162,2078,1980,1909,2014,1802,1821,1779,1805,1874,2026,1983,1847,1678,1642,1530,1282,1172,1127,1023,916,850,793,730,717,658,638,588,529,493,447,422,479,362,316,285,302,271,227,249,220,178,163,170,166,139,141,129,131,103]
[71,98,107,120,134,140,166,188,204,283,318,390,486,565,605,734,881,995,1129,1368,1527,1744,1675,1823,1500,1690,1713,1699,1681,1826,2001,1977,1884,1875,1983,1943,2013,1972,1985,2057,2320,2369,2154,2054,2120,2101,2105,1913,2045,2098,2390,2344,2151,2107,2130,2161,2150,2039,2206,2183,2314,2863,2277,2126,2160,2233,2146,2103,2135,2284,2382,2462,2220,2110,2102,2208,2021,1900,1970,2158,2246,2245,2185,2005,2005,1990,1958,1828,1909,2068,2169,2121,2029,2089,2004,1938,1961,1893,2324,2050,2209,2024,2089,1852,1978,1801,1722,1745,1758,1945,2001,1897,1664,1584,1522,1418,1323,1216,1130,997,941,881,795,827,708,671,622,575,503,507,443,477,378,379,348,388,289,262,259,244,217,201,197,183,168,140,130,117,112,102]
[93,95,110,110,134,143,193,202,224,315,315,430,437,596,641,746,964,1104,1346,1357,1691,1767,1675,1540,1644,1705,1986,1755,1804,1922,2088,2048,1975,1863,2001,2004,2014,2000,2109,2336,2465,2423,2301,2096,1952,2101,2159,2137,2106,2392,2418,2420,2260,2214,2130,2124,2089,2166,2245,2400,2550,2497,2467,2181,2623,2342,2270,2192,2226,2332,2408,2446,2243,2129,2189,2231,2105,2051,2176,2218,2355,2270,2098,2069,2045,2029,1978,1956,2135,2147,2218,2153,2123,2050,1908,2075,1939,1955,2037,2147,2177,2658,1947,2014,1924,1881,1866,1830,1904,2043,2016,1886,1724,1620,1566,1443,1281,1209,1141,1035,1004,896,852,833,723,710,667,568,547,509,478,402,403,357,331,319,287,283,329,202,215,177,174,168,167,155,153,124,115,103]
[70,94,98,138,125,135,168,224,244,280,347,419,498,599,662,862,1031,1191,1486,1783,1985,2019,1839,1774,1741,1783,1752,1785,1896,2727,2247,2200,2178,1945,1950,2057,1998,2111,2299,2494,2552,2511,2447,2215,2092,2080,2002,2201,2443,2504,2698,2622,2341,2225,2115,2092,2205,2248,2471,2657,2633,2619,2444,2195,2173,2121,2069,2649,2346,2547,2763,2507,2413,2157,2090,2171,2037,2040,2266,2431,2452,2389,2287,2172,2095,1925,2007,2091,2268,2302,2297,2232,2114,2111,1972,1910,1998,2053,2257,2384,2382,2347,2138,2010,2377,1960,1905,1996,2112,2132,2114,2015,1864,1681,1564,1434,1332,1230,1078,1077,967,896,857,814,745,642,687,604,529,505,508,447,390,356,322,320,283,274,254,241,235,239,182,180,172,148,147,134,139,111]
[88,87,120,113,172,176,197,205,243,293,368,411,465,586,707,842,1120,1404,1737,2115,2333,2384,2164,1992,1785,1860,1840,1936,2121,2431,2449,2295,2699,2172,2048,2085,2139,2283,2422,2728,2755,2705,2587,2460,2154,2152,2224,2303,2461,2763,2956,2803,2556,2478,2235,2211,2283,2471,2474,2772,2816,2822,2634,2318,2266,2150,2234,2334,2509,3317,2938,2676,2558,2277,2103,2141,2169,2334,2374,2600,2543,2595,2444,2234,2117,2130,2126,2250,2354,2477,2597,2386,2280,2090,2104,2030,2157,2226,2318,2630,2617,2491,2298,2148,1981,2056,2004,2526,2149,2293,2325,2194,1951,1756,1561,1422,1354,1244,1128,1028,1041,868,824,808,743,707,662,572,555,507,488,449,391,394,369,319,288,279,280,225,220,185,199,178,197,145,122,122,112,99]
[93,92,108,117,151,166,198,202,251,295,355,391,474,615,659,829,1110,1372,1806,2456,3011,3263,2932,2767,2129,2039,2099,2033,2289,2715,2881,2916,2732,2422,2286,2643,2251,2342,2589,2926,3261,3187,2757,2498,2305,2283,2267,2470,2681,2877,3227,3106,2813,2606,2289,2299,2415,2666,2834,3050,3332,3298,2912,2579,2383,2302,2307,2501,2740,3030,3340,3222,3611,2482,2370,2276,2266,2307,2462,2722,3093,3019,2673,2400,2291,2096,2296,2304,2408,2815,2948,2827,2443,2247,2167,2131,2246,2303,2598,2814,2911,2728,2558,2235,2135,2011,2260,2311,2333,2750,3142,2316,2125,1821,1671,1471,1397,1261,1118,1049,1025,972,886,786,725,671,666,588,581,513,511,441,421,381,353,322,311,295,235,220,248,187,208,187,171,164,127,140,111,99]
[78,139,117,108,141,179,212,252,299,328,360,441,520,628,733,896,1189,1400,1858,2494,3298,3450,3017,2675,2112,1992,2096,2091,2317,2682,3105,3173,2890,2613,2212,2104,2076,2268,3091,3078,3373,3415,2980,2625,2281,2247,2257,2382,2615,3300,3518,3466,3029,2598,2351,2361,2295,2566,2933,3371,3520,3410,3042,2587,2425,2234,2321,2466,2803,3295,3520,3388,2982,2538,2221,2664,2262,2313,2451,2958,3078,3068,2869,2392,2264,2163,2245,2244,2390,2916,3066,2818,2451,2414,2195,2195,2231,2337,2669,3063,3222,3022,2546,2301,2134,2129,2152,2258,2570,2868,3022,2526,2222,2263,1694,1579,1366,1281,1200,1096,1029,992,868,784,721,697,617,548,541,511,414,433,361,366,342,316,270,274,264,243,222,185,175,183,180,151,131,161,120,109]
[103,116,144,133,183,200,196,225,250,326,393,470,513,648,750,887,1183,1424,1807,2338,2919,3047,2725,2278,2098,1936,1923,2093,2173,2726,2848,3007,2757,2482,2264,2120,2152,2183,2520,2835,3062,3639,2791,2511,2309,2205,2254,2336,2502,2815,2962,2887,2812,2529,2420,2332,2209,2450,2569,2785,2996,3077,2805,2510,2396,2300,2368,2426,2651,3067,3281,3075,2761,2519,2209,2194,2269,2273,2779,3132,3055,2725,2397,2349,2149,2066,2103,2216,2563,2646,2812,2672,2423,2336,2192,2117,2157,2245,2492,2759,2895,2722,2429,2323,2171,2089,2064,2120,2372,2612,2635,2431,2173,1941,1802,1602,1730,1372,1148,1131,1007,929,911,818,751,646,605,575,517,524,460,399,384,348,350,292,255,256,261,241,221,190,193,173,137,154,142,140,122,99]
[90,127,101,127,129,158,221,274,262,287,374,461,530,601,756,880,1043,1091,1400,1823,2152,2112,2090,1958,1879,1863,1796,1900,1958,2209,2376,2257,2286,2224,2248,2182,2047,2174,2335,2445,2534,2636,2408,2452,2812,2122,2204,2238,2239,2501,2568,2644,2565,2377,2350,2182,2274,2313,2486,2587,2804,2630,2552,2396,2406,2226,2241,2339,2412,2580,2682,2636,2577,2496,2357,2177,2238,2228,2356,2464,2602,3136,2480,2271,2151,2092,2091,2157,2299,2468,2502,2470,2320,2280,2168,2082,2120,2178,2228,2418,2409,2504,2317,2281,2170,2109,1960,2030,2058,2231,2356,2119,1956,1947,1829,1598,1436,1242,1398,1122,1043,906,836,802,753,671,629,609,520,470,502,437,404,380,322,323,305,279,254,236,201,212,202,190,179,151,136,140,107,95]
[99,110,109,148,140,195,196,223,273,375,384,451,525,630,752,902,1020,1129,1273,1566,1810,1938,1878,1769,1732,1833,1654,1730,1809,2055,2052,2197,2148,2163,2065,2031,1944,2000,2190,2377,2556,2479,2446,2314,2205,2251,2072,2456,2286,2443,2539,2578,2443,2310,2386,2324,2250,2273,2330,2478,2619,2641,2403,2343,2293,2237,2194,2275,2371,2451,2615,2423,2423,2363,2209,2236,2180,2108,2225,2486,2646,2556,2354,2262,2660,2170,2056,2156,2203,2474,2407,2526,2302,2151,2139,2153,2063,2266,2138,2270,2500,2428,2239,2175,2189,2020,1995,1934,2126,2136,2296,2119,1895,1897,1807,1584,1437,1304,1196,1164,1036,1029,1041,844,735,690,644,577,576,532,480,452,413,357,341,309,302,267,236,267,233,223,218,175,180,149,137,130,131,136]
[111,109,111,139,165,183,204,235,266,341,380,446,612,649,679,854,1012,1119,1140,1355,1699,1740,1608,1522,1544,1586,1757,1734,1759,1914,2044,1997,2068,2005,1919,2103,2001,1925,1927,2187,2372,2470,2260,2110,2022,2202,2188,2080,2096,2240,2831,2443,2208,2142,2277,2280,2331,2135,2167,2364,2606,2473,2317,2310,2271,2227,2169,2167,2200,2434,2443,2499,2265,2173,2294,2287,2151,2147,2164,2352,2435,2308,2277,2221,2207,2085,2177,2496,2099,2210,2465,2257,2146,2075,2195,2090,1994,2066,2054,2215,2378,2374,2108,2072,2089,2063,2031,1929,1996,2145,2131,1943,1809,1739,1679,1609,1393,1369,1165,1089,1009,942,869,795,948,678,626,630,555,490,490,449,360,363,339,341,295,286,284,230,238,202,190,169,162,137,154,115,117,101]
[94,107,122,136,144,206,217,229,259,317,371,414,487,629,694,851,1204,1029,1198,1422,1599,1652,1538,1385,1463,1588,1608,1661,1743,1792,1961,1916,1887,1850,1923,1892,2020,1973,2065,2118,2250,2258,2178,2088,2102,2190,2141,2125,2035,2228,2335,2309,2217,2440,2170,2310,2233,2146,2240,2305,2399,2349,2260,2221,2277,2257,2238,2125,2111,2387,2487,2299,2222,2200,2156,2224,2136,2002,2074,2257,2302,2270,2196,2134,2154,2187,2070,2065,2121,2132,2699,2162,2215,2042,2121,2132,2021,1979,2055,2235,2325,2173,2094,2008,2091,2085,2062,1785,1941,2040,2113,2027,1744,1736,1720,1507,1500,1330,1114,1159,1061,965,899,881,808,721,663,654,640,555,496,427,401,380,349,350,296,279,289,234,232,216,211,176,173,143,133,126,128,128]
[93,112,118,142,148,167,194,225,270,331,368,418,538,591,716,912,1026,1092,1239,1801,1650,1670,1562,1534,1522,1676,1740,1715,1852,1906,2076,2103,1911,2020,1974,1929,1939,2104,2077,2189,2235,2295,2240,2130,2112,2094,2153,2191,2223,2312,2402,2416,2270,2123,2160,2261,2680,2271,2318,2434,2463,2375,2335,2283,2154,2210,2180,2295,2258,2410,2432,2439,2276,2189,2142,2185,2211,2117,2224,2292,2272,2304,2195,2146,2104,2245,2088,2224,2174,2259,2217,2354,2298,2586,2138,2192,2002,2073,2117,2271,2293,2431,2184,2119,2104,2004,2102,2041,2041,2200,2151,1946,1828,1773,1647,1631,1468,1309,1233,1118,1099,961,969,849,783,776,732,632,578,530,583,496,427,386,377,353,324,284,261,271,237,210,211,171,159,159,127,150,135,123]
[106,89,118,131,161,184,210,252,297,339,385,484,564,638,753,861,1131,1285,1481,1726,1975,2033,2179,1647,1626,1765,1754,1833,2036,2278,2283,2155,2139,2119,2046,2002,2062,2019,2238,2396,2500,2426,2355,2199,2157,2104,2158,2198,2323,2511,2552,2446,2468,2273,2339,2252,2383,2286,2432,3168,2682,2594,2389,2378,2240,2240,2294,2322,2467,2683,2581,2569,2391,2301,2289,2270,2243,2257,2382,2546,2528,2363,2395,2152,2145,2153,2124,2189,2305,2539,2565,2388,2382,2252,2098,2123,2598,2236,2296,2618,2461,2333,2356,2253,2145,2140,2141,2146,2256,2345,2192,2129,1929,1838,1791,1603,1431,1366,1266,1147,1096,953,988,891,822,792,648,647,582,539,551,434,446,378,424,338,343,288,269,271,238,223,189,184,159,148,133,121,148,107]
[95,121,118,121,142,177,186,225,270,323,416,448,501,639,783,903,1193,1375,1619,2054,2290,2371,2286,2051,1902,2230,1857,2094,2208,2491,2366,2339,2368,2231,2231,2131,2098,2290,2388,2578,2668,2629,2442,2238,2242,2184,2180,2370,2514,2623,2722,2721,2548,2512,2319,2319,2383,2457,2561,2794,2781,2787,3220,2509,2437,2322,2390,2404,2624,2828,2891,2712,2640,2456,2303,2240,2321,2303,2469,2714,2745,2431,2442,2398,2249,2292,2400,2336,2386,2636,2609,2664,2458,2360,2306,2256,2308,2435,2398,3146,2662,2443,2409,2369,2199,2193,2373,2384,2428,2541,2580,2347,2121,2025,1739,1668,1539,1423,1261,1189,1075,1099,980,821,862,740,732,703,594,566,568,468,439,361,376,364,274,342,242,280,230,195,192,179,166,150,135,112,120,120]
[119,106,137,144,159,180,210,251,319,347,399,449,560,677,798,921,1171,1456,1819,2467,2837,2906,2692,2401,2017,2002,2021,2651,2414,2691,2911,2800,2618,2578,2407,2302,2254,2409,2542,2831,2999,2915,2640,2375,2365,2273,2333,2436,2636,3034,3129,2964,2805,2467,2530,2434,2450,2593,2898,3192,3206,3208,2966,2576,2376,2944,2554,2650,2900,3128,3234,3154,2725,2430,2396,2234,2420,2465,2640,2945,2938,2763,2663,2396,2344,2354,2377,2573,2610,3019,3020,2842,2648,2500,2407,2423,2375,2548,2683,2887,2972,2807,3232,2384,2275,2251,2349,2407,2632,2964,2855,2575,2227,1942,1902,1678,1566,1424,1302,1173,1200,1044,1034,848,798,733,755,718,608,556,505,493,439,387,344,352,337,257,265,321,231,211,198,181,164,142,134,128,140,97]
[106,117,129,133,196,179,200,223,311,332,406,478,570,677,742,926,1098,1391,1775,2416,3017,3289,2960,2628,2141,1950,2012,2126,2334,2734,3104,3779,2908,2571,2415,2206,2236,2280,2556,2758,3144,3212,2958,2531,2310,2182,2269,2407,2594,3026,3275,3206,2949,2652,2383,2342,2413,2546,2751,3277,3482,3444,3066,2639,2462,2329,2387,2440,3392,3337,3438,3369,2955,2486,2392,2269,2381,2469,2634,3034,3200,2983,2782,2525,2336,2345,2276,2340,2726,3116,3192,3115,2825,2442,2294,2365,2263,2526,2700,3026,3290,3045,2877,2476,2209,2642,2281,2412,2786,3198,3186,2766,2394,2138,1889,1611,1540,1412,1287,1199,1087,1091,966,872,831,775,679,644,612,569,482,441,462,416,377,338,322,312,289,235,243,239,233,179,168,175,126,110,136,115]
[95,127,132,140,155,181,211,239,278,346,372,482,534,610,729,829,1111,1326,1757,2052,2532,2762,2596,2234,2016,1904,1912,2004,2233,2454,2522,2695,2652,3035,2255,2121,2140,2194,2339,2491,2766,2710,2643,2455,2338,2266,2166,2306,2453,2712,2900,2893,2703,2553,2375,2272,2302,2421,2671,2825,2964,3018,2880,2581,2420,2267,2256,2324,2557,2767,3124,3537,2768,2557,2298,2172,2127,2332,2487,2695,2721,2831,2503,2461,2310,2217,2244,2382,2464,2763,2897,2820,2596,2370,2279,2214,2197,2318,2464,2683,2845,2763,2667,2390,2251,2108,2145,2344,2967,2761,2771,2559,2348,2106,1861,1664,1579,1425,1344,1218,1119,1031,1012,871,797,713,661,605,575,539,479,447,446,392,350,327,322,292,280,237,202,192,198,169,161,189,133,140,105,115]
[97,132,128,147,164,193,234,247,288,331,450,434,584,667,774,860,997,1193,1406,1690,1964,2123,2119,1899,1906,1915,1784,1909,2018,2173,2249,2453,2294,2288,2246,2149,2105,2573,2262,2320,2318,2401,2407,2399,2267,2183,2213,2250,2282,2514,2661,2570,2483,2348,2394,2261,2280,2300,2386,2541,2665,2584,2555,2546,2344,2287,2309,2316,2461,2518,2686,2583,2537,2457,2831,2229,2148,2198,2325,2352,2368,2445,2517,2397,2299,2146,2227,2220,2298,2434,2479,2588,2432,2365,2301,2245,2081,2297,2404,2463,2540,2497,2319,2334,2216,2080,2049,2140,2199,2336,2383,2729,2093,2008,1821,1803,1574,1442,1225,1224,1176,969,1008,927,788,783,688,626,599,577,502,469,426,406,383,344,292,278,275,251,244,195,217,200,186,176,148,146,131,101]
[113,114,177,143,172,187,225,248,283,330,394,510,581,632,791,983,1028,1061,1301,1607,1768,1845,1829,1706,1816,1713,1830,1798,1927,2007,2238,2234,2172,2039,2124,2059,2014,2026,2163,2704,2416,2322,2295,2272,2203,2139,2139,2180,2230,2367,2570,2496,2398,2360,2356,2192,2322,2276,2392,2638,2606,2473,2447,2337,2302,2369,2215,2326,2461,2456,2658,2621,2404,2289,2402,2252,2152,2702,2248,2321,2481,2424,2328,2303,2298,2240,2150,2178,2260,2279,2573,2446,2276,2252,2281,2219,2091,2226,2350,2365,2565,2499,2287,2162,2274,2145,2113,2131,2112,2292,2271,2068,1830,1884,2236,1677,1486,1339,1203,1193,1089,981,905,827,885,641,659,623,557,549,556,440,441,382,378,375,352,271,282,255,222,210,214,193,193,155,147,133,132,94]
[123,129,140,145,162,244,230,247,301,354,423,462,538,656,729,922,1016,1143,1151,1478,1695,1769,1511,1515,1656,1696,1720,1727,1763,1863,2091,2011,2050,1967,2038,1992,2061,1890,2031,2128,2267,2324,2596,2226,2202,2222,2091,2122,2223,2181,2509,2348,2230,2236,2360,2266,2291,2228,2349,2361,2488,2447,2350,2240,2389,2363,2217,2185,2366,2391,2526,2380,2335,2280,2396,2265,2283,2044,2237,2224,2904,2297,2224,2262,2220,2320,2138,2153,2183,2235,2318,2266,2198,2169,2223,2248,2137,2119,2094,2332,2386,2249,2223,2188,2179,2144,2065,1954,2027,2145,2313,2121,1951,1880,1791,1656,1520,1653,1263,1151,1102,1067,942,900,833,742,691,602,602,530,448,495,441,401,398,366,308,295,306,275,237,236,198,192,169,158,161,133,115,112]
[116,136,143,148,166,193,211,239,364,406,457,456,611,655,750,932,1056,1106,1246,1462,1726,1692,1525,1371,1609,1764,1771,1706,1822,1919,1979,1993,1929,1871,1913,2120,2088,1995,2009,2141,2237,2239,2221,2125,2180,2626,2230,2207,2214,2277,2447,2461,2208,2151,2224,2345,2268,2215,2268,2366,2366,2355,2301,2246,2389,2382,2270,2202,2225,2324,2364,2400,2281,2204,2294,2412,2271,2177,2166,2288,2323,2305,2250,2634,2352,2120,2244,2211,2219,2309,2318,2303,2286,2157,2305,2197,2161,2174,2238,2422,2334,2301,2237,2169,2149,2126,2213,2024,2044,2249,2155,2089,1908,1830,1819,1659,1561,1387,1362,1224,1304,1062,1022,890,839,776,711,606,647,561,551,485,411,381,386,363,312,304,260,261,221,226,230,192,174,153,126,135,138,138]
[105,136,132,146,176,207,235,225,268,328,373,539,535,664,758,908,1082,1217,1383,1551,1732,1757,1787,1618,1573,1736,1834,1822,1866,2050,2085,2072,2033,1986,1994,2106,2055,2103,2147,2293,2252,2372,2093,2164,2092,2273,2202,2260,2343,2836,2415,2376,2335,2253,2222,2294,2330,2369,2401,2534,2535,2532,2357,2382,2255,2249,2379,2309,2477,2539,2543,2570,2286,2239,2285,2315,2202,2178,2362,2357,2385,2511,2311,2250,2221,2214,2751,2374,2368,2423,2457,2407,2337,2192,2248,2271,2231,2160,2363,2537,2440,2384,2245,2232,2120,2117,2197,2116,2242,2215,2221,2085,1978,1940,1860,1712,1530,1422,1336,1260,1176,1108,1057,1094,809,826,731,657,567,582,507,485,434,412,377,339,310,283,279,235,252,185,223,209,183,146,142,140,144,137]
[120,138,154,180,172,211,235,266,302,359,437,515,549,653,903,994,1171,1338,1597,1891,2079,2047,1887,1734,1753,1797,1865,1918,2131,2253,2315,2374,2236,2130,2108,2183,2077,2130,2243,2457,2625,2414,2286,2313,2320,2377,2156,2276,2462,2694,2677,3016,2573,2341,2369,2413,2384,2376,2611,2682,2730,2618,2634,2459,2359,2380,2308,2542,2549,2711,2716,2609,2687,2481,2350,2346,2348,2307,2548,2619,2592,2662,2527,2297,2239,2314,2391,2376,2485,3098,2697,2685,2389,2471,2314,2305,2318,2466,2467,2610,2596,2488,2439,2352,2174,2308,2150,2304,2479,2469,2489,2347,2177,1940,1923,1799,1736,1505,1307,1304,1202,1109,1097,987,928,847,916,718,633,569,552,542,481,381,401,352,339,282,259,272,237,219,212,193,153,184,163,138,135,129]
[126,104,151,173,178,214,235,279,321,371,410,521,584,661,862,943,1215,1741,1852,2120,2412,2524,2320,1941,1906,1975,2022,2155,2442,2576,2718,2737,2410,2374,2318,2252,2344,2297,2548,2738,2790,2743,2633,2462,2325,2356,2445,2680,2741,2921,2940,2801,2739,3176,2486,2434,2711,2798,2927,3118,3073,2927,2725,2646,2469,2603,2583,2659,2806,2956,2921,2793,2672,2586,2469,2488,2526,2593,2751,2849,3005,2828,2734,2573,2397,2460,2660,2474,2721,2942,2959,3420,2690,2504,2409,2450,2591,2614,2675,2828,2754,2842,2607,2529,2411,2412,2445,2402,2637,2766,2778,2447,2360,2113,1953,1785,1664,1531,1354,1208,1238,1137,1075,1008,891,829,786,659,768,593,546,497,415,460,367,368,299,317,312,240,239,198,210,197,180,155,137,127,116,118]
[124,119,127,162,179,186,255,283,317,389,396,482,576,651,797,971,1261,1606,2038,3047,2954,3010,2654,2248,2023,2007,2126,2287,2621,2904,3143,3079,2752,2444,2404,2293,2303,2452,2652,3110,3246,3049,3009,2590,2474,2367,2502,2577,2858,3283,3386,3183,2870,2729,2519,2656,3198,2752,3054,3330,3442,3345,2990,2847,2543,2613,2579,2703,3010,3285,3313,3140,2874,2689,2511,2476,2528,2592,2932,3262,3157,3019,2869,2535,2551,2474,2635,2642,2806,3194,3253,2948,2901,2568,3078,2623,2631,2730,3045,3265,3157,3058,2741,2604,2488,2388,2558,2525,2808,3142,2988,2891,2564,2220,2011,1742,1726,1568,1453,1261,1201,1222,1100,1010,945,803,724,645,662,605,570,611,433,396,405,337,320,324,261,288,250,218,240,196,158,164,139,112,124,109]
[96,135,145,169,165,218,220,245,291,359,400,494,512,692,728,986,1132,1423,1785,2307,2986,3057,3488,2310,2053,2017,2095,2182,2618,2761,3425,3201,2943,2610,2450,2277,2300,2351,2732,2908,3231,3168,2991,2700,2525,2350,2350,2503,2811,3311,3469,3525,2985,2787,2641,2481,2403,2579,2954,3944,3454,3431,3043,2740,2453,2496,2483,2530,2873,3253,3333,3192,2839,2660,2371,2359,2395,2443,2787,3160,3349,3211,2935,2612,2509,2414,2491,2577,2814,3196,3313,3288,3034,2575,2512,2471,2386,3129,3083,3174,3264,3015,2916,2536,2498,2377,2433,2402,2953,3143,3103,2817,2628,2187,2051,1884,1719,1576,1413,1324,1195,1171,1099,890,904,777,719,668,654,572,562,518,449,393,472,333,347,306,278,282,238,241,172,187,157,144,152,138,115,109]
[108,118,142,152,188,217,234,241,310,329,456,474,595,712,740,878,1073,1201,1485,1951,2143,2558,2519,2246,2054,2220,1889,1982,2076,2496,2637,2666,2654,2478,2327,2178,2172,2197,2405,2638,2832,2886,2691,2515,2446,2159,2249,2365,2673,2924,3047,2880,2829,2652,2512,2337,2291,2536,2660,2937,3170,3049,3432,2504,2523,2416,2347,2489,2569,2728,2834,2811,2691,2533,2402,2241,2266,2427,2521,2765,2813,2862,2572,2486,2406,2238,2278,2460,2558,2814,2777,2853,2765,2573,2438,2301,2398,2529,2623,2865,3433,2927,2584,2396,2360,2247,2211,2459,2588,2778,2828,2616,2356,2082,1914,1738,1596,1454,1390,1231,1153,1122,1037,923,920,789,755,681,655,616,535,467,438,436,380,336,329,394,289,264,206,198,195,178,197,159,157,127,115,102]
[93,116,117,135,171,217,236,289,311,352,444,473,549,696,747,903,1011,1187,1343,1652,1860,2045,2020,1987,1853,1874,1752,1831,2552,2072,2305,2367,2295,2216,2275,2253,2131,2130,2294,2388,2445,2512,2431,2451,2407,2281,2214,2335,2414,2528,2653,2730,2544,2532,2369,2378,2257,2360,2568,2627,2730,2642,2653,2506,2389,2862,2280,2388,2475,2588,2696,2704,2558,2421,2458,2312,2288,2401,2411,2612,2550,2592,2544,2445,2393,2203,2210,2328,2385,2482,2595,2581,2442,2418,2441,2337,2240,2390,2434,2557,2639,2532,2616,2802,2240,2120,2253,2238,2292,2406,2348,2258,2133,2017,1999,1793,1667,1536,1339,1233,1176,1058,1007,927,905,783,729,658,605,582,549,502,453,435,384,344,307,305,275,266,320,201,190,190,169,159,155,130,130,116]
[116,124,127,151,218,205,199,263,288,373,464,467,556,701,823,902,1048,1183,1258,1467,1751,1927,1906,1789,1798,1810,1793,1815,1932,2007,2160,2704,2140,2103,2093,2157,2028,2096,2219,2370,2434,2391,2401,2392,2263,2260,2172,2176,2372,2552,2571,2506,2552,2384,2449,2348,2392,2377,2506,2584,2689,2606,2515,2531,2484,2423,2322,2267,3043,2594,2708,2673,2557,2539,2365,2325,2319,2430,2310,2542,2667,2582,2461,2453,2368,2322,2286,2245,2378,2543,2640,2593,2464,2413,2415,2415,2284,2241,2381,2479,2600,2519,2403,2313,2303,2252,2690,2164,2264,2368,2343,2280,2028,2064,1948,1795,1697,1434,1423,1265,1228,1021,1037,941,841,840,729,696,602,616,492,502,475,414,392,372,335,304,281,278,239,223,209,223,150,144,135,135,110,105]
[112,136,154,184,201,193,259,263,277,390,434,508,591,658,795,894,1025,1197,1241,1374,1676,1791,1679,1597,1603,1788,1752,1821,1759,1987,2153,2064,2008,1960,2447,2039,2073,2041,2079,2228,2383,2282,2224,2208,2325,2307,2283,2169,2339,2373,2553,2505,2358,2310,2350,2366,2312,2323,2270,2362,2512,2577,2519,2336,2470,2417,2313,2283,2435,2487,2454,3080,2359,2367,2317,2400,2303,2381,2339,2517,2487,2557,2440,2312,2264,2411,2279,2196,2325,2378,2508,2434,2470,2333,2344,2372,2362,2297,2320,2366,2543,2476,2317,2328,2315,2258,2171,2109,2574,2215,2372,2271,2060,1940,1976,1770,1603,1517,1415,1277,1261,1126,1059,954,897,826,839,716,642,554,549,535,432,438,365,365,345,326,290,269,248,253,202,199,173,156,164,116,125,105]
[142,139,132,183,183,185,230,279,335,353,439,497,557,703,777,1002,1098,1190,1278,1485,1602,1780,1633,1548,1593,1785,1841,1841,1821,1873,2073,1995,2044,1881,1989,2052,2189,2379,2018,2219,2223,2268,2263,2048,2281,2334,2392,2223,2223,2394,2531,2457,2303,2336,2363,2469,2507,2353,2447,2445,2504,2547,2445,2417,2236,2484,2488,2282,2357,2350,2558,2487,2458,2322,2881,2414,2427,2227,2286,2363,2429,2520,2379,2329,2277,2318,2350,2334,2305,2409,2452,2509,2400,2359,2294,2470,2372,2287,2329,2478,2495,2388,2392,2226,2321,2261,2302,2171,2130,2168,2269,2266,2485,2006,1949,1813,1610,1551,1421,1234,1189,1183,1039,953,882,852,765,722,668,558,526,456,525,417,405,372,363,344,316,282,252,220,226,187,183,164,136,133,132,130]
[126,128,158,197,189,231,230,291,344,383,448,491,622,746,877,1026,1157,1241,1566,1638,1870,1834,1709,1757,1814,1904,1884,1927,1939,2105,2103,2112,2026,2057,2059,2066,2186,2282,2254,2347,2780,2332,2330,2236,2175,2271,2349,2365,2459,2627,2632,2594,2392,2304,2454,2417,2462,2421,2450,2551,2685,2555,2471,2363,2313,2468,2363,2477,2453,2567,2644,2611,2402,2352,2366,2383,2443,2913,2449,2600,2580,2586,2400,2366,2349,2412,2335,2429,2485,2529,2610,2597,2465,2352,2314,2384,2417,2484,2564,2617,2691,2503,2456,2380,2339,2350,2251,2224,2269,2390,2426,2147,2090,1908,1922,2166,1625,1436,1294,1297,1215,1120,1068,929,880,851,709,617,643,582,589,512,478,461,378,384,331,290,301,254,234,258,216,204,177,143,181,140,125,117]
[117,148,152,162,173,205,304,258,336,404,459,527,612,696,877,1062,1226,1437,1670,1970,2180,2105,2084,1941,1857,1834,1923,2027,2114,2335,2351,2321,2197,2186,2078,2118,2255,2269,2424,2488,2594,2455,2457,2853,2268,2372,2367,2371,2607,2787,2748,2700,2607,2432,2352,2437,2560,2570,2634,2804,2811,2683,2487,2565,2411,2408,2456,2505,2627,2706,2749,2694,2584,2544,2441,2422,2389,2513,2637,2681,3297,2676,2611,2494,2384,2463,2388,2542,2585,2790,2753,2837,2601,2413,2336,2441,2507,2598,2759,2805,2785,2628,2502,2485,2391,2296,2360,2383,2448,2476,2465,2393,2179,2082,1891,1790,1718,1538,1687,1250,1207,1169,1153,970,974,854,723,751,675,647,551,540,490,461,411,338,351,294,297,288,261,222,213,174,169,148,157,125,119,109]
[102,152,144,181,203,184,264,279,349,458,487,575,598,711,916,1134,1372,1550,2012,2320,2646,2563,2566,2232,2048,1918,2079,2222,2297,2554,2688,2638,2434,2415,2351,2305,2235,2492,2624,2682,2972,2799,2533,2518,2413,2356,2577,3171,2791,3025,3076,2965,2801,2686,2558,2478,2546,2617,2790,2932,2877,2804,2826,2623,2501,2523,2595,2724,2778,2886,3032,2806,2731,2691,2555,2422,2517,2655,2711,2898,3000,2939,2801,2686,2966,2640,2561,2670,2800,2984,3039,2949,2838,2724,2556,2606,2660,2762,2898,3082,3009,3063,2845,2718,2517,2555,2485,2534,2628,2820,2776,2682,2341,2160,2017,1846,1777,1603,1462,1265,1272,1404,1069,985,909,848,772,694,674,547,576,526,448,431,396,362,347,330,261,245,258,223,226,162,177,149,170,146,142,108]
[149,125,153,151,192,196,234,273,313,394,497,559,715,747,851,1128,1391,1657,2250,2873,3225,3363,3128,2609,2278,2128,2179,2357,2644,2903,3172,3038,2800,2676,2493,2520,2400,2522,2767,3091,3294,3146,2957,2821,2673,2581,2525,2749,3049,3363,4193,3571,3154,2889,2523,2578,2667,2762,2942,3196,3461,3276,2969,2813,2522,2589,2659,2678,2849,3223,3273,3069,2908,2736,2624,2536,2629,2697,2941,3320,3345,3172,2940,2746,2653,2577,2713,3324,3188,3350,3346,3232,2913,2849,2680,2542,2805,2973,3307,3501,3521,3231,3128,2880,2605,2624,2638,2706,2911,3212,3202,2933,2610,2274,2119,1880,1780,1672,1457,1304,1204,1187,1144,1045,1167,802,765,697,635,594,550,502,484,430,425,359,346,295,264,256,232,218,214,176,186,166,141,128,132,111]
[101,146,120,147,186,185,218,253,317,391,465,550,606,713,797,1204,1318,1611,2157,2945,3246,3515,3400,2798,2311,2255,2123,2322,2599,2887,3091,3156,3114,2735,2483,2299,2428,2404,2745,3105,3327,3253,3056,2671,2560,2419,2522,2590,2906,3405,3542,3569,3326,3583,2592,2615,2709,2653,3037,3434,3605,3411,3084,2857,2492,2463,2537,2594,2994,3333,3390,3288,3063,2832,2538,2499,2522,2687,2971,3282,3323,3167,2905,2908,2644,2530,2608,2565,3000,3383,4128,3398,2982,2721,2588,2511,2670,2793,3253,3505,3547,3464,3175,2761,2473,2438,2599,2545,3013,3183,3401,2925,2648,2260,1924,1844,1708,1603,1486,1356,1234,1202,1138,994,864,852,781,824,621,605,592,473,460,434,375,372,318,332,291,239,215,238,227,181,177,176,171,125,135,91]
[97,127,149,170,179,211,254,292,336,386,473,519,609,704,881,992,1194,1520,2270,2265,2594,2838,2700,2500,2268,2030,2016,2162,2297,2462,2614,2621,2547,2572,2448,2317,2291,2278,2516,2708,2846,2766,2629,2617,2569,2381,2385,2467,2623,2941,3066,2967,2951,2716,2631,2944,2444,2613,2675,2967,3206,2866,2773,2680,2577,2432,2376,2593,2822,2910,2945,2922,2751,2572,2472,2423,2480,2611,2801,2886,2922,2936,2768,2693,2533,2438,2411,2479,2661,2890,2956,2876,2829,3216,2406,2418,2507,2513,2748,3087,2999,2916,2816,2576,2448,2310,2283,2301,2622,2659,2826,2526,2397,2217,2005,1764,1646,1510,1443,1241,1231,1179,1110,970,911,853,789,664,664,573,611,492,459,405,425,330,350,298,250,266,223,228,199,214,170,164,135,97,122,112]
[138,114,127,173,181,191,221,261,312,349,419,481,581,668,818,927,1151,1278,1457,1722,2009,2608,2249,2049,2086,1931,1814,1890,2015,2246,2314,2294,2288,2187,2317,2300,2066,2293,2357,2491,2451,2522,2448,2476,2425,2380,2304,2342,2516,2592,2700,2775,2680,2567,2518,2362,2441,2446,3098,2515,2641,2594,2489,2533,2543,2443,2419,2494,2487,2555,2602,2610,2612,2576,2415,2358,2398,2424,2499,2623,2592,2656,2530,2540,2458,2328,2385,2480,2453,2604,2672,2667,2637,2498,2444,2400,2936,2392,2512,2635,2766,2586,2432,2440,2358,2315,2360,2298,2424,2572,2362,2351,2074,2108,2049,1822,1660,1478,1462,1315,1164,1087,966,913,910,813,735,720,628,598,542,506,487,434,492,347,323,312,288,223,240,215,215,207,160,136,136,137,122,101]
[117,146,146,162,178,206,250,268,324,355,397,523,597,707,793,987,1109,1202,1284,1496,1848,2077,2002,1907,2310,1948,1887,1873,2052,2102,2269,2292,2141,2115,2134,2262,2205,2148,2323,2374,2609,2390,2409,2313,2347,2365,2350,2309,2494,2604,2656,2641,2570,2394,2528,2413,2372,2381,2555,2637,2624,2707,2846,2455,2539,2517,2451,2384,2488,2637,2682,2667,2570,2425,2532,2435,2380,2567,2412,2549,2526,2694,2657,2450,2509,2856,2406,2292,2505,2579,2735,2764,2588,2475,2309,2508,2376,2390,2450,3092,2768,2719,2532,2435,2448,2369,2349,2320,2405,2424,2533,2389,2081,2241,1843,1884,1697,1593,1439,1273,1190,1048,1019,961,934,825,791,723,692,646,523,554,451,434,423,381,384,296,281,255,246,232,201,203,172,172,148,132,116,112]
[116,143,153,164,161,190,222,336,310,370,423,541,633,721,846,985,1162,1291,1257,1516,1769,1766,1795,1648,1789,1887,1895,1797,1844,1933,2154,2073,2058,2044,2175,2290,2205,2084,2090,2245,2309,2383,2241,2185,2731,2410,2428,2276,2306,2383,2543,2537,2412,2351,2357,2497,2422,2366,2531,2500,2577,2540,2366,2274,2498,2432,2377,2361,2459,2573,2650,2626,2436,2356,2468,2535,2416,2335,2270,2465,2544,3006,2492,2376,2453,2444,2432,2368,2379,2481,2711,2418,2443,2315,2472,2491,2324,2243,2403,2509,2578,2624,2423,2371,2403,2412,2237,2156,2190,2379,2484,2246,2088,1995,1979,1901,1684,1545,1358,1563,1130,1076,1077,950,872,847,751,678,644,582,524,497,477,470,386,380,359,317,249,268,255,250,187,176,174,141,155,150,135,103]
[121,134,106,151,176,198,230,274,292,371,494,550,599,644,879,926,1162,1221,1230,1547,1828,1851,1673,1589,1633,1843,1876,1853,1987,2001,2099,2130,1977,2046,2068,2296,2211,2154,2157,2228,2424,2361,2356,2176,2296,2428,2422,2701,2260,2406,2488,2411,2391,2347,2422,2569,2539,2436,2479,2435,2569,2595,2558,2355,2381,2539,2515,2490,2516,2520,2623,2525,2477,2487,2434,2584,2490,2437,2428,2398,2543,2589,2399,2405,2870,2522,2535,2317,2466,2557,2622,2573,2488,2413,2526,2595,2440,2361,2454,2451,2665,2458,2387,2394,2396,2556,2388,2276,2300,2375,2463,2323,2103,2095,2013,1910,1708,1554,1472,1372,1230,1074,1272,961,929,751,728,736,600,634,554,487,458,507,386,377,322,292,281,285,231,217,185,190,163,174,135,152,111,117]
[129,139,132,161,201,223,258,238,342,369,453,509,599,891,775,1015,1182,1291,1498,1706,1902,1930,1904,1764,1726,1946,1995,1981,2095,2174,2209,2297,2110,2138,2108,2255,2300,2193,2348,2420,2443,2409,2420,2371,2302,2274,2298,2440,2588,2631,3187,2612,2450,2516,2455,2389,2444,2527,2622,2707,2667,2766,2450,2492,2479,2516,2576,2542,2633,2695,2773,2739,2562,2442,2514,2521,2543,2504,2533,2651,2807,2706,2706,2411,2508,2388,2502,3071,2624,2621,2736,2726,2517,2553,2444,2521,2492,2502,2651,2674,2700,2714,2565,2398,2490,2474,2441,2471,2421,2526,2569,2358,2251,2143,2046,1944,1773,1525,1479,1282,1304,1120,1098,1017,918,1019,770,674,641,603,534,517,477,441,384,376,373,328,284,269,255,218,173,177,173,159,149,128,121,114]
[107,131,142,171,172,184,271,271,318,395,403,478,611,714,829,940,1483,1377,1584,1981,2114,2136,2123,1914,1760,1934,1889,2017,2185,2463,2570,2385,2387,2293,2223,2231,2284,2300,2400,2669,2727,2548,2477,2451,2361,2320,2379,2477,2525,2748,2727,2746,2639,3003,2393,2400,2472,2632,2719,2837,2843,2779,2646,2650,2589,2408,2689,2582,2715,2967,2871,2826,2695,2580,2563,2500,2572,2635,2642,2842,2914,2906,2858,2728,2486,2567,2585,2683,2698,2923,2891,3438,2781,2576,2545,2510,2563,2636,2806,2934,3052,2933,2654,2639,2523,2520,2428,2571,2809,2822,2760,2563,2358,2261,2098,1970,1747,1572,1428,1339,1295,1221,1123,1041,967,859,800,712,750,614,570,558,452,446,354,351,339,316,299,257,229,205,190,183,157,147,153,156,137,102]
[120,121,106,156,164,232,237,228,311,339,447,484,596,690,842,993,1280,1528,1853,2726,2399,2591,2357,2179,1981,1917,2091,2252,2493,2689,2875,2797,2664,2560,2452,2300,2441,2475,2465,2894,2948,2882,2681,2539,2483,2474,2550,2663,2722,2911,3204,3005,2812,2605,2572,2383,3101,2657,2871,3163,3187,3183,2895,2645,2506,2417,2600,2676,2833,3041,3224,2997,2826,2750,2655,2535,2670,2703,2823,3033,3051,3049,2812,2684,2539,2638,2601,2799,2907,3020,3163,3059,2746,3294,2580,2543,2737,2709,3021,3191,3270,3018,2841,2633,2516,2474,2652,2729,2876,3069,3073,2885,2568,2335,2136,1904,1762,1611,1498,1387,1261,1060,1105,1021,947,871,761,677,609,607,530,542,446,422,388,319,304,264,285,278,236,217,192,171,155,165,160,120,147,107]
[99,139,124,164,177,204,265,249,340,347,496,432,667,650,883,879,1391,1319,2046,2150,2696,3095,3162,2618,2224,2134,2212,2233,2583,3047,3147,3035,3325,2583,2583,2441,2448,2677,2727,3139,3379,3069,3108,2821,2527,2469,2625,2571,2998,3192,3434,3431,2942,2887,2628,2534,2706,2692,3048,4139,3491,3464,3101,2885,2600,2637,2619,2809,3081,3444,3567,3349,3217,2764,2748,2622,2702,2840,3076,3196,3467,3419,3294,2875,2648,2760,2738,2843,3140,3479,3361,3385,3105,2893,2667,2744,3350,2881,3254,3749,3515,3456,3146,2746,2673,2619,2635,2865,3272,3573,3460,3149,2899,2497,2167,1975,1779,1602,1542,1376,1278,1141,1127,1006,918,864,742,724,646,590,521,511,455,386,457,336,337,278,243,242,212,208,179,162,153,157,145,111,119,93]
[108,140,147,162,193,220,268,269,350,359,488,531,569,734,836,1034,1194,1467,1988,2520,2986,3315,3074,2575,2163,2636,2120,2307,2768,3084,3378,3340,3128,2722,2462,2353,2401,2554,2874,3244,3329,3221,3143,2763,2518,2456,2389,2551,2876,3300,3565,3258,2989,2815,2573,2514,2509,2656,3074,3464,3627,3535,3720,2885,2674,2612,2603,2687,3141,3551,3473,3390,3128,2948,2600,2528,2671,2688,3088,3264,3496,3491,3239,2897,2664,2638,2712,2749,3026,3448,3423,3275,3180,2823,2576,2515,2590,2799,3223,4315,3583,3427,3018,2775,2613,2562,2634,2835,3301,3713,3518,3256,2855,2427,2173,1900,1809,1617,1551,1388,1270,1194,1136,932,894,759,768,684,589,590,561,486,479,392,378,358,342,328,262,268,199,211,159,180,170,161,129,139,83,108]
[98,143,154,192,201,206,242,305,322,398,465,502,592,739,859,978,1139,1332,1740,2114,2359,2727,2597,2285,2032,1956,1904,2066,2838,2675,2748,2693,2703,2522,2403,2404,2351,2356,2649,2880,2903,2828,2695,2556,2506,2336,2366,2415,2689,3032,2961,2952,2728,2733,2523,2511,2509,2617,2857,3139,3014,3123,2880,2767,2653,2955,2438,2673,2945,3113,3088,2998,2954,2693,2603,2466,2461,2698,2946,3039,3164,3055,2912,2748,2614,2456,2461,2601,2849,3007,3054,3044,2818,2762,2559,2406,2568,2598,2781,3032,3166,3077,3480,2696,2382,2367,2349,2503,2834,3006,3062,2914,2684,2290,2114,1897,1763,1650,1504,1341,1171,1134,1061,919,857,814,700,692,634,595,564,474,436,405,381,332,311,315,295,294,214,180,188,174,162,147,130,144,113,103]
[110,136,159,176,175,226,242,293,316,370,487,499,618,696,895,937,1132,1245,1440,1769,2025,2148,2073,2047,1987,1911,1956,1968,2145,2357,2908,2372,2356,2314,2350,2252,2291,2283,2308,2554,2542,2507,2547,2511,2468,2464,2361,2357,2458,2558,2636,2614,2573,2554,2528,2500,2424,2493,2614,2728,2717,2733,2606,2765,2519,2429,2509,2493,3238,2823,2753,2767,2758,2505,2537,2417,2429,2570,2677,2829,2898,2745,2754,2632,2626,2370,2411,2518,2642,2739,2803,2644,2652,2498,2553,2481,2445,2476,2643,2593,2737,2611,2555,2559,2420,2674,2239,2386,2368,2686,2520,2370,2194,2224,2061,1843,1659,1509,1385,1282,1246,1140,1033,952,903,829,682,688,629,574,509,475,427,416,405,354,335,282,265,236,219,203,207,160,150,140,154,133,130,118]
[97,125,155,184,201,225,236,289,294,351,448,502,597,754,802,934,1160,1177,1315,1489,1703,1970,1905,1788,1814,1878,1863,1955,1970,2123,2235,2340,2309,2166,2726,2307,2313,2267,2330,2472,2535,2555,2485,2494,2440,2364,2375,2313,2427,2511,2556,2624,2484,2396,2435,2525,2423,2544,2465,2639,2815,2679,2643,2483,2552,2563,2484,2524,2551,2710,2752,3269,2558,2523,2531,2560,2429,2529,2535,2697,2769,2728,2660,2591,2501,2494,2418,2452,2496,2563,2725,2660,2446,2433,2527,2433,2456,2509,2429,2595,2677,2633,2360,2356,2450,2488,2339,2349,2407,2891,2487,2381,2093,2103,2036,1866,1648,1476,1424,1328,1191,1135,1056,1000,932,837,728,726,625,581,594,484,447,405,360,372,334,326,247,273,216,216,197,180,184,166,152,129,112,130]
[164,153,165,169,186,213,224,313,310,370,448,536,600,736,852,1088,1195,1193,1324,1433,1727,1838,1700,1656,1762,1963,1951,1948,1899,2054,2162,2173,2114,2151,2200,2343,2222,2630,2364,2428,2502,2419,2400,2200,2290,2487,2341,2270,2373,2425,2560,2537,2355,2348,2400,2486,2440,2379,2379,2550,2563,2622,2358,2375,2425,2559,2543,2336,2351,2555,2704,2562,2533,2459,3068,2594,2399,2380,2501,2699,2738,2580,2403,2437,2531,2547,2454,2423,2409,2481,2657,2478,2424,2311,2463,2463,2309,2344,2329,2502,2587,2422,2322,2324,2321,2435,2121,2139,2092,2179,2379,2594,2064,1935,1960,1806,1583,1468,1395,1303,1184,1048,1010,929,905,800,767,677,663,572,531,496,441,407,365,372,310,295,256,230,263,216,184,170,159,175,131,129,126,128]
[139,148,167,172,209,235,264,270,307,378,445,516,627,716,900,988,1223,1185,1348,1525,1779,1806,1621,1572,1688,1884,1909,1944,1923,2090,2229,2161,2130,2035,2198,2357,2375,2319,2333,2396,2877,2364,2306,2204,2438,2479,2392,2288,2358,2464,2442,2470,2396,2342,2474,2500,2455,2354,2435,2501,2673,2616,2528,2333,2428,2594,2550,2413,2466,2549,2719,2527,2530,2364,2462,2555,2560,2965,2495,2621,2595,2530,2471,2331,2497,2536,2468,2501,2462,2545,2589,2519,2359,2467,2408,2508,2474,2271,2403,2458,2480,2505,2276,2235,2341,2339,2237,2109,2155,2284,2398,2052,2007,1959,2271,1702,1603,1477,1342,1273,1161,1043,982,907,938,852,744,691,611,554,565,483,424,436,397,375,318,279,262,237,219,208,188,190,178,125,121,97,122,93]
[108,137,161,179,160,292,247,289,357,432,460,562,622,761,871,1110,1172,1380,1564,1739,1936,1834,1797,1690,1787,1867,1950,1970,2074,2242,2337,2307,2178,2175,2234,2302,2332,2402,2541,2621,2602,2517,2520,2851,2381,2431,2396,2489,2494,2713,2722,2655,2535,2420,2302,2494,2509,2494,2629,2651,2760,2528,2433,2462,2462,2464,2456,2608,2592,2758,2690,2657,2549,2465,2514,2528,2567,2642,2687,2814,3353,2549,2579,2538,2543,2489,2590,2558,2561,2612,2618,2635,2514,2506,2434,2453,2462,2528,2429,2568,2589,2505,2410,2309,2398,2233,2206,2253,2331,2366,2319,2206,1968,1968,1911,1807,1504,1805,1449,1245,1203,1103,1028,940,905,848,685,637,618,571,571,522,467,384,428,364,316,270,256,258,254,196,207,177,164,146,150,125,111,114]
[128,124,160,149,179,211,251,283,412,458,459,564,704,770,902,1106,1369,1461,1703,2019,2097,2046,1942,1845,1878,1934,2004,2147,2423,2434,2432,2391,2243,2281,2347,2366,2331,2534,2589,2870,2799,2690,2621,2538,2451,2371,3045,2508,2838,2915,2852,2753,2699,2492,2500,2519,2541,2545,2816,2899,2889,2732,2658,2556,2323,2493,2393,2670,2764,2924,2950,2717,2680,2506,2572,2445,2580,2683,2972,2867,3003,2807,2805,3031,2460,2495,2498,2601,2763,2859,2801,2776,2534,2534,2502,2455,2510,2579,2561,2663,2714,2589,2510,2403,2315,2306,2301,2249,2441,2628,2498,2250,2067,1959,2003,1814,1675,1504,1345,1319,1362,1013,1016,942,889,785,725,674,612,579,531,449,433,365,379,344,292,267,287,244,217,222,171,161,161,141,132,115,105,93]
[118,128,144,166,190,244,229,332,313,406,467,706,606,821,943,1192,1403,1747,2107,2450,2594,2584,2360,2069,1907,2023,2139,2439,2730,2832,2757,2696,2650,2488,2434,2464,2452,2690,2946,3278,3159,2935,2868,2620,2490,2544,2616,2735,2897,3798,3083,3040,2729,2665,2499,2501,2661,2702,3043,3146,3153,3048,2691,2629,2547,2588,2639,2723,3035,3103,3135,2923,2795,2686,2591,2563,2707,2738,3103,3280,3276,3057,2801,2711,2569,2606,3188,2773,2960,3194,2952,2857,2803,2578,2418,2556,2625,2731,2847,3015,3033,2794,2635,2416,2398,2495,2415,2353,2622,2753,2753,2491,2185,2119,1909,1800,1730,1487,1434,1260,1192,1110,1018,1136,849,812,716,663,599,560,521,490,404,402,352,301,307,249,251,243,198,211,175,188,152,148,124,91,117,78]
[138,173,168,140,244,254,286,368,409,482,567,642,941,963,1207,1478,1880,2476,2874,3079,3217,2564,2374,2079,2093,2181,2547,2949,3264,3208,3002,2754,2784,2455,2530,2573,2819,3414,3578,3398,3324,3014,2837,2514,2491,2660,2820,3412,3636,3714,3221,2951,2846,2607,2607,2655,2988,3228,3424,3420,3257,2894,2607,2556,2601,2733,2997,3310,3572,3362,3157,2901,2708,2613,2542,2711,2810,3435,3655,3518,3152,2923,2640,2606,2662,2640,2850,3955,3466,3339,3126,2922,2639,2552,2509,2676,2812,3183,3374,3183,2995,2798,2573,2408,2426,2553,2609,2950,3031,2915,2610,2313,1982,1846,1689,1660,1517,1378,1234,1175,1091,979,866,842,923,686,593,583,577,508,475,385,361,308,333,271,246,250,230,208,183,161,158,144,139,129,101,86,116,81]
[101,140,145,152,183,208,232,269,357,437,473,509,571,778,857,1185,1218,1628,2328,2797,3085,3331,2914,2382,2102,1963,2152,2295,2851,3148,3531,3213,3019,2691,2442,2357,2443,2622,3260,3635,3815,3551,3198,2782,2551,2467,2442,2675,3070,3397,3446,3334,3622,2578,2503,2498,2531,2754,3178,3335,3439,3274,2951,2704,2436,2439,2493,2696,3185,3503,3429,3279,2981,2719,2480,2362,2470,2719,3235,3627,3705,3247,3022,2741,2442,2454,2579,2569,3141,3493,4102,3225,2924,2570,2418,2412,2370,2664,3021,3322,3317,3034,2700,2413,2304,2252,2344,2510,2864,2968,2938,2762,2248,2041,1860,1701,1622,1391,1335,1225,1078,1081,982,896,800,720,702,763,562,536,479,458,378,387,350,314,309,268,217,193,188,173,159,165,146,139,137,104,106,95]
[124,136,148,176,190,213,232,288,364,450,438,532,649,763,841,1058,1185,1378,2333,2299,2644,2696,2382,2159,1991,1950,1969,2249,2550,2692,2833,2779,2616,2575,2407,2242,2359,2471,2755,2997,2957,2987,2799,2697,2514,2320,2351,2453,2757,3137,2995,2990,2852,2706,2575,2812,2404,2472,2713,2933,2971,2911,2698,2495,2405,2380,2486,2594,2744,3007,2811,2862,2738,2597,2480,2355,2309,2743,2826,3103,3045,2828,2671,2589,2396,2407,2351,2474,2886,2929,3039,2936,3217,2489,2482,2395,2443,2576,2682,2932,2858,2738,2550,2346,2243,2285,2244,2411,2525,2701,2668,2394,2174,1966,1823,1692,1554,1419,1269,1273,1119,970,961,960,765,687,654,645,608,528,595,455,428,397,344,354,325,282,249,231,218,178,161,151,139,123,116,110,105,80]
[130,147,172,152,182,242,273,254,317,456,474,603,623,819,866,1019,1155,1325,1524,1726,2089,2546,2026,2029,1880,1850,1880,2063,2215,2291,2341,2483,2255,2375,2374,2317,2242,2290,2507,2635,2536,2555,2601,2422,2374,2381,2413,2474,2571,2631,2608,2612,2520,2479,2494,2289,2391,2381,3070,2591,2668,2538,2498,2387,2400,2278,2429,2401,2494,2711,2676,2596,2603,2490,2476,2394,2346,2500,2619,2607,2650,2664,2438,2450,2484,2337,2454,2390,2553,2522,2659,2570,2581,2534,2440,2238,2772,2419,2342,2517,2544,2527,2264,2383,2195,2253,2100,2167,2211,2332,2241,2025,1945,1943,1781,1647,1603,1362,1287,1161,1063,1014,908,860,858,699,648,595,556,560,460,452,392,419,340,319,299,259,243,207,177,180,184,141,116,124,111,123,100,98]
[127,145,158,172,202,232,228,258,309,394,478,531,607,741,884,1103,1161,1252,1327,1607,1907,1854,1803,1774,2283,1922,1849,1874,2048,2168,2345,2248,2168,2221,2310,2272,2305,2293,2279,2449,2580,2500,2256,2225,2504,2387,2378,2411,2379,2543,2610,2485,2404,2381,2296,2464,2379,2233,2450,2599,2590,3128,2334,2348,2313,2330,2246,2352,2397,2473,2684,2558,2475,2440,2411,2303,2323,2454,2493,2490,2604,2508,2390,2373,2381,2347,2360,2310,2367,2528,2555,2510,2326,2363,2350,2372,2271,2394,2679,2432,2524,2313,2268,2177,2300,2143,2074,2113,2163,2323,2221,2081,1913,1928,1817,1674,1514,1400,1273,1180,1049,954,964,885,851,754,680,659,564,526,483,474,402,379,325,333,335,231,230,207,189,174,151,142,146,153,116,107,107,76]
[137,153,168,183,183,185,247,263,330,405,431,469,630,756,829,1032,1159,1249,1330,1617,1781,1795,1759,1677,1801,1900,1815,2283,2037,2076,2202,2062,1964,2059,2167,2313,2281,2297,2149,2337,2475,2420,2195,2182,2293,2351,2396,2315,2393,2415,2508,2363,2344,2304,2474,2412,2389,2307,2270,2517,2492,2401,2338,2330,2806,2443,2262,2394,2343,2467,2502,2410,2238,2302,2410,2419,2373,2327,2426,2454,2519,2507,2283,2354,2377,2422,2395,2265,2286,2460,2585,2495,2337,2254,2427,2383,2271,2262,2225,2346,2417,2841,2198,2201,2270,2132,2101,2033,2140,2246,2275,1982,1841,1870,1767,1666,1472,1311,1249,1101,1034,1009,953,835,847,776,714,661,573,508,479,464,446,366,346,322,321,277,246,242,212,196,169,157,111,131,115,105,103,89]
[107,133,165,176,196,211,229,276,352,338,457,537,605,686,855,1071,1216,1269,1384,1659,1915,1772,1622,1562,1727,1907,1867,1811,1877,2032,2573,2023,1960,1945,2087,2397,2281,2182,2220,2232,2319,2248,2265,2246,2311,2386,2443,2361,2374,2516,2458,2474,2351,2291,2354,2425,2425,2356,2209,2364,2461,2472,2269,2257,2292,2539,2408,2728,2478,2458,2463,2487,2350,2474,2430,2454,2345,2288,2291,2526,2484,2391,2248,2245,2445,2434,2365,2310,2375,2475,2431,2449,2348,2372,2273,2431,2237,2262,2269,2336,2496,2348,2229,2234,2722,2233,2142,2091,2162,2260,2219,2049,1908,1922,1744,1641,1509,1408,1330,1204,1135,1017,904,876,801,743,658,626,561,507,466,429,408,386,349,321,311,297,246,214,184,230,180,157,143,118,134,104,112,101]
[133,136,164,186,178,212,279,294,353,414,449,566,641,743,945,1213,1337,1389,1558,1724,1929,1906,1728,1794,1856,1831,1870,1981,2036,2103,2208,2192,2389,2017,2067,2208,2319,2352,2422,2337,2449,2351,2244,2248,2247,2309,2364,2333,2577,2526,2677,2469,2378,2281,2326,2495,2378,2412,2621,2707,2574,2533,2445,2352,2348,2342,2391,2501,2564,2650,3115,2509,2408,2326,2348,2416,2499,2509,2606,2556,2544,2510,2382,2352,2289,2514,2445,2400,2534,2597,2529,2411,2431,2363,2382,2324,2351,2460,2465,2565,2512,2428,2234,2193,2268,2266,2219,2698,2287,2339,2272,2153,2020,1980,1812,1746,1583,1352,1288,1203,1065,988,894,839,822,736,662,622,558,507,462,401,384,358,300,307,280,258,216,214,210,187,145,154,143,121,97,103,97,92]
[105,140,144,177,216,231,240,276,311,415,459,585,611,763,941,1103,1430,1532,1911,2098,2175,2138,2000,1872,1872,1861,1915,1984,2102,2395,2351,2244,2158,2150,2085,2218,2710,2331,2593,2707,2657,2381,2340,2264,2328,2284,2399,2397,2566,2697,2828,2616,2614,2497,2336,2291,2470,2427,2642,2833,2750,2603,2526,2512,2331,2392,2430,2420,2628,2824,2709,2669,2607,3001,2342,2457,2474,2575,2703,2935,2817,2834,2469,2515,2381,2418,2399,2431,2689,2828,2784,2643,2460,2421,2333,2394,2451,2314,2533,2620,2662,2583,2411,2337,2210,2273,2298,2246,2523,2586,3062,2270,2169,2050,1824,1715,1493,1413,1357,1227,1135,969,962,846,796,774,640,604,540,532,445,443,361,326,317,287,266,212,212,210,199,182,154,134,131,112,124,97,108,79]
[105,159,164,183,203,195,238,307,325,392,461,571,636,727,891,1209,1456,1820,2367,2689,2724,2780,2406,2078,1927,1931,2037,2169,2392,2623,2478,2469,2333,2236,2174,2252,2362,2437,2909,3543,2797,2729,2520,2404,2282,2356,2528,2698,2981,3148,3144,2952,2692,2651,2496,2468,2506,2686,2831,3206,3117,2969,2839,2658,2426,2461,2510,2733,3040,3220,3062,2944,2707,2615,2373,2444,3019,2728,3092,3329,3116,2984,2787,2564,2455,2376,2487,2689,2835,2976,2980,2790,2644,2566,2395,2413,2398,2564,2793,2778,2834,2599,2597,2380,2311,2288,2231,2528,2870,2873,2717,2432,2287,2510,1854,1683,1591,1422,1241,1151,1111,1033,918,838,777,702,640,615,508,479,441,441,371,336,313,296,264,237,213,201,183,184,145,127,130,103,108,109,89,72]
[122,140,148,166,189,272,290,312,335,444,471,572,678,777,886,1137,1439,1965,2664,3101,3310,3261,2925,2297,2153,2137,2137,2353,2693,2898,2907,2840,2640,2442,2283,2307,2504,2576,3091,3331,3295,3164,3425,2512,2485,2458,2571,2736,3241,3509,3648,3340,3010,2547,2375,2471,2516,2848,3235,3276,3470,3284,3006,2675,2489,2462,2465,2709,3215,3527,3486,3252,2878,2655,2410,2503,2465,2798,3193,4310,3455,3211,3025,2584,2490,2425,2541,2888,3222,3377,3380,3226,2977,2592,2373,2350,2514,2695,3136,3243,3202,3026,2648,2440,2355,2398,2431,2691,3328,3343,3161,2859,2506,2193,2002,1692,1891,1497,1265,1156,1108,1006,951,851,774,710,631,541,542,477,455,357,373,307,286,277,257,222,233,214,182,155,148,148,138,105,106,78,84,90]
[116,129,150,159,207,211,246,335,334,358,486,555,631,711,833,1035,1336,1788,2457,3101,3121,3318,2868,2324,2155,2110,1931,2185,2627,2882,2880,2750,2602,2328,2210,2203,2259,2537,2949,3210,3216,2956,2815,2567,2417,2764,2324,2624,3092,3293,3207,3171,2807,2645,2400,2370,2411,2750,3104,3229,3361,3116,2918,2552,2379,2234,2439,2728,3102,3498,3394,3129,2780,2612,2385,2267,2375,2651,3153,3393,3375,3034,3408,2543,2371,2279,2414,2706,3163,3291,3234,3028,2912,2575,2342,2248,2472,2548,2954,3193,3109,2927,2564,2684,2258,2131,2330,2793,3210,3349,3055,2649,2356,2088,1800,1662,1602,1364,1305,1367,1076,999,842,824,725,679,652,559,506,462,423,401,377,316,282,289,268,206,216,230,172,143,168,123,124,113,81,86,95,69]
[97,130,158,152,202,201,213,290,317,406,423,618,642,694,809,980,1221,1411,1862,2177,2420,2688,2407,2157,1965,1830,1839,1912,2143,2401,2387,2365,2282,2134,2121,2084,2035,2212,2439,2704,2636,2677,2456,2476,2323,2293,2230,2394,3215,2756,2807,2753,2619,2469,2365,2304,2338,2435,2820,2798,2833,2758,2628,2563,2392,2210,2321,2380,2597,2876,2928,2732,2561,2377,2174,2137,2200,2344,2565,2761,2790,2745,2566,2440,2221,2630,2253,2315,2617,2702,2819,2636,2511,2246,2184,2112,2198,2289,2541,2746,2641,2523,2439,2236,2065,2105,2089,2241,2557,2755,2575,2435,2189,2077,1724,1649,1519,1372,1167,1113,1028,982,926,930,775,654,619,526,510,430,397,387,320,331,284,235,270,224,215,194,168,136,133,116,126,129,100,98,69,65]
[111,154,151,166,199,184,244,270,332,371,449,479,563,612,980,973,1103,1179,1415,1689,2007,1957,1979,1882,1801,1707,1766,1846,1889,2131,2163,2063,2063,2030,2144,2079,1937,2136,2249,2301,2420,2310,2267,2220,2197,2249,2124,2183,2406,2445,2448,2957,2364,2295,2206,2208,2117,2283,2375,2368,2383,2401,2349,2346,2220,2161,2140,2338,2339,2470,2423,2458,2310,2384,2250,2210,2090,2187,2308,2493,2509,2404,2349,2320,2170,2201,2067,2205,2760,2343,2567,2335,2263,2371,2151,2128,2160,2282,2280,2383,2285,2332,2139,2158,2074,1928,2007,2053,2314,2366,2146,2143,1894,1974,1768,1624,1475,1281,1157,1061,943,872,918,794,676,650,686,536,471,451,420,355,320,335,323,274,282,215,213,169,171,166,134,129,129,108,91,87,82,60]
[112,126,175,167,182,184,262,297,338,384,417,478,609,629,794,909,1074,1421,1322,1461,1817,1876,1790,1715,1785,1852,1773,1812,1759,1996,2058,1970,1916,2056,1988,2032,2012,2083,2109,2249,2231,2171,2082,2160,2207,2235,2062,2219,2242,2254,2344,2264,2222,2131,2667,2175,2224,2235,2272,2327,2447,2345,2255,2127,2250,2146,2176,2163,2241,2434,2457,2323,2193,2133,2196,2129,2087,2174,2184,2408,2441,2343,2165,2102,2265,2219,2034,2200,2215,2345,2354,2273,2587,2128,2193,2096,2184,2196,2201,2380,2245,2149,2071,2099,2138,1948,1982,2064,2157,2271,2177,1951,1909,1790,1699,1518,1457,1278,1132,1105,946,896,774,746,690,645,593,544,482,562,434,405,373,341,298,303,251,210,191,191,170,128,130,107,125,121,90,80,71,72]
[130,139,143,170,163,212,254,228,285,329,409,476,547,666,757,910,1109,1147,1240,1395,2098,1703,1597,1563,1722,1808,1841,1736,1791,1858,1967,2012,1918,1835,2013,2133,2036,1973,2025,2066,2089,2055,2006,2014,2054,2218,2090,2047,1982,2131,2174,2189,2036,2088,2158,2206,2137,2578,2250,2291,2397,2238,2077,2064,2224,2311,2172,2123,2156,2196,2311,2208,2174,2106,2209,2206,2139,2051,2102,2352,2323,2319,2164,2082,2103,2205,2232,2018,2034,2224,2359,2257,2098,2027,2182,2541,1976,2059,2015,2254,2225,2075,2006,2041,2088,2053,1916,1915,1966,2090,2169,1992,1852,1767,1724,1603,1376,1274,1157,1012,1010,981,844,715,717,630,604,513,505,449,423,410,421,342,288,270,242,201,199,179,159,167,152,112,106,97,113,100,86,72]
[122,133,148,150,157,173,213,265,298,373,383,451,559,691,782,1004,1152,1224,1274,1490,1679,1706,1517,1884,1773,1919,2021,1855,1851,2001,2097,1972,1847,1862,1994,2219,2091,1973,2048,2123,2127,2096,1970,1992,2032,2113,2094,2106,2232,2319,2400,2152,2158,2254,2243,2342,2193,2255,2314,2347,2917,2356,2144,2089,2156,2298,2137,2115,2176,2250,2353,2231,2045,2022,2274,2236,2136,1991,2215,2362,2369,2367,2062,2139,2182,2222,2171,1956,2274,2336,2371,2330,2168,2071,2166,2209,2077,2398,2109,2226,2193,2205,2016,2069,2134,2085,2045,1926,2018,2113,2010,1906,1737,1720,1694,1636,1404,1226,1099,982,931,859,769,764,688,608,586,507,510,457,405,380,336,315,299,291,221,180,169,152,144,148,128,113,118,95,75,92,60,76]
[100,133,149,160,170,176,214,280,308,374,394,499,506,676,764,954,1148,1251,1397,1686,1790,1769,1718,1607,2027,1812,1836,1928,1958,2123,2126,2040,1843,1877,1989,1965,2076,2011,2244,2235,2318,2070,1986,2002,1980,2060,2011,2182,2263,2316,2436,2325,2218,2227,2235,2282,2237,2243,2432,2421,2447,2405,2421,2212,2184,2209,2250,2127,2323,2320,2376,2308,2141,2119,2148,2086,2152,2254,2310,2450,2479,2301,2238,2147,2168,2284,2190,2207,2425,2417,2479,2444,2283,2193,2148,2201,2035,2111,2222,2808,2430,2295,2126,2141,2067,2061,2032,1998,2133,2316,2265,1974,1889,1877,1778,1652,1464,1296,1176,1033,987,810,790,722,687,608,557,524,511,482,425,371,313,317,298,264,267,211,213,160,143,141,123,117,111,98,87,79,69,70]
[121,133,148,179,171,207,230,218,292,360,386,482,533,668,778,968,1180,1362,1570,1990,2088,1954,1917,1721,1690,1719,1925,2297,2171,2405,2293,2273,2144,2026,1978,1952,2011,2070,2260,2371,2338,2234,2145,2022,1983,2018,2112,2195,2392,2562,2531,2415,2366,2277,2202,2103,2410,2252,2461,2654,2781,2522,2343,2244,2158,2140,2140,2722,2376,2544,2518,2369,2243,2150,2081,1994,2154,2205,2343,2438,2508,2398,2233,2164,2125,2124,2130,2336,2408,2694,2733,2625,2348,2133,2121,2079,2046,2204,2388,2422,2447,2349,2249,2217,2551,2132,2035,2062,2317,2389,2257,2134,1956,1867,1714,1668,1392,1253,1110,1052,967,846,796,687,640,617,567,494,460,399,411,339,300,293,260,245,216,182,176,153,145,164,102,103,97,112,79,60,71,60]
[100,116,149,129,161,194,204,238,281,348,422,447,545,660,765,922,1230,1422,1934,2519,2643,2711,2294,2051,1919,1746,1991,2179,2290,2820,2930,2690,2933,2131,1991,1914,2052,2144,2381,2729,2693,2549,2260,2077,1992,2010,2104,2243,2603,2865,2872,2832,2554,2324,2172,2201,2267,2349,2798,3093,3045,2941,2626,2305,2173,2181,2187,2186,2452,2708,3280,2499,2384,2180,2070,2097,1992,2251,2493,2813,2760,2596,2389,2233,2138,2070,2251,2401,2816,3079,3111,2776,2532,2224,2102,2074,2030,2263,2546,2856,2590,2699,2454,2180,2213,2047,2080,2575,2450,2607,2486,2209,1982,1835,1633,1535,1396,1197,1089,1041,863,814,795,717,637,603,529,475,468,455,356,333,297,258,224,206,190,205,160,164,136,130,121,102,109,82,73,62,65,52]
[100,130,132,143,163,186,198,242,254,318,365,467,504,592,735,936,1181,1480,2122,3037,3135,3066,2959,2313,1974,1830,1886,2095,2672,3090,3197,3053,2896,2443,2177,2413,1967,2166,2661,3041,3048,3004,2657,2045,1957,2012,2007,2257,2678,3229,3352,3176,2769,2588,2260,2214,2267,2535,3056,3482,3520,3339,2978,2541,2236,2207,2082,2246,2649,3069,3102,2922,3165,2315,2008,2118,2096,2171,2690,2850,2975,2877,2536,2183,2079,2150,2140,2372,3000,3470,3370,3320,3027,2437,2064,2101,2118,2291,2806,3190,3123,3040,2756,2279,2145,1960,2038,2166,2635,3104,3394,2553,2276,1871,1661,1523,1359,1207,1121,949,888,795,750,691,619,552,528,480,401,376,391,325,281,278,245,216,184,175,134,152,134,118,114,116,90,78,67,61,62,64]
[90,158,132,151,165,199,211,244,266,338,381,431,557,665,800,905,1189,1493,2304,2819,3097,3055,2729,2180,1977,1855,1914,2040,2682,2977,2869,2909,2705,2369,2106,2113,1956,2121,3009,3015,2849,2810,2402,2041,1953,1901,1952,2215,2862,3017,3160,3091,2769,2279,2119,2076,2124,2480,2944,3362,3288,3111,2925,2423,2184,2009,2066,2179,2693,2984,2886,2776,2514,2240,2020,2430,1971,2180,2743,3069,3008,2732,2269,2168,2062,1943,2061,2489,3045,3246,3336,3164,2696,2157,2007,1925,1987,2346,2817,3098,3044,2933,2533,2180,2068,2056,1885,2174,2650,2872,2693,2507,2023,2207,1633,1479,1339,1185,1042,886,902,783,759,657,552,543,475,462,396,334,358,331,267,236,240,200,187,179,141,134,138,127,121,101,81,73,67,68,64,51]
[107,124,133,143,186,200,199,229,247,269,360,437,500,586,738,864,980,1355,1709,2199,2444,2488,2279,1918,1779,1677,1666,1832,2042,2367,2377,2394,2278,2077,2045,1873,1765,1893,2245,2349,2366,2796,2013,1817,1790,1822,1829,1999,2295,2594,2656,2516,2383,2111,1982,2020,2010,2109,2447,2683,2644,2657,2400,2134,2041,1868,1887,2039,2251,2459,2426,2324,2219,1957,1953,1767,1820,1964,2652,2455,2503,2397,2146,1967,1890,1899,1915,2109,2450,2586,2640,2574,2306,2070,1961,1865,1729,1978,2299,2568,2521,2483,2296,1967,1896,1799,1777,1976,2143,2361,2212,2077,1887,1722,1568,1383,1610,1121,1026,827,830,722,646,636,534,528,422,394,402,353,323,291,270,218,215,197,169,156,165,125,114,117,79,73,64,74,67,73,48,47]
[80,97,141,133,162,160,205,292,278,312,382,421,465,582,775,870,1004,1107,1340,1616,1966,1931,1771,1731,1651,1595,1531,1612,1725,1924,2035,1994,1931,1856,1828,1758,1766,1771,1867,1978,1960,1857,1775,1751,2078,1787,1714,1874,2089,2269,2274,2241,2013,1890,1888,1876,1745,1881,2095,2220,2369,2252,1968,1937,1855,1791,1764,1748,1986,2131,2130,2065,1932,1772,1762,1729,1854,1790,1865,2019,2158,2521,1918,1814,1852,1764,1796,1862,2017,2245,2300,2294,1994,1917,1821,1693,1803,1771,2039,2227,2185,1988,1878,1854,1712,1620,1690,1725,1799,1865,1928,1765,1540,1584,1503,1355,1293,1102,1098,818,742,673,650,577,533,500,413,373,352,327,319,289,270,238,236,206,160,185,131,132,100,100,96,63,65,73,56,40,43,42]
[116,102,121,144,136,156,194,201,206,344,334,322,444,508,648,780,954,1039,1204,1464,1737,1630,1601,1616,1664,1717,1648,1733,1688,1742,1962,1762,1742,1724,1699,1669,1661,1601,1698,1818,1864,1671,1616,1636,1579,1687,1648,1999,1758,1995,1991,1876,1740,1757,1778,1764,1799,1837,1906,2153,2192,1993,1817,1831,1766,1898,1745,1712,1838,1967,2100,1915,1727,1737,1746,1748,1718,1633,1676,1893,1916,1859,1658,1682,2084,1747,1779,1736,1884,2035,2071,1950,1873,1752,1771,1789,1704,1756,1754,2013,1982,1861,1727,1749,1696,1565,1673,1600,1672,1802,1807,1654,1538,1538,1307,1285,1094,965,878,740,718,780,537,574,497,443,396,377,337,330,291,263,255,217,211,165,153,161,143,126,112,87,70,98,73,57,53,66,43,41]
[103,114,106,116,142,172,178,194,239,237,328,336,497,535,714,795,986,1069,1204,1370,1652,1655,1466,1442,1658,1637,1677,1690,1551,1664,1796,1803,1582,1555,1621,1698,1677,1660,1566,1662,1841,1697,1604,1619,1639,1695,1644,1569,1660,1871,2406,1816,1625,1752,1821,1804,1840,1727,1844,2020,2150,2005,1819,1742,1832,1841,1779,1711,1675,1857,1925,1897,1813,1575,1682,1771,1736,1647,1571,1904,1882,1848,1715,1598,1728,1778,1704,2095,1741,2009,2021,1883,1829,1733,1774,1748,1691,1622,1692,1926,1971,1767,1598,1651,1720,1648,1615,1507,1625,1801,1808,1682,1483,1489,1407,1222,1036,946,847,727,671,639,550,551,567,462,444,337,369,292,283,269,232,223,191,176,160,142,115,117,103,92,93,85,62,61,52,58,48,42]
[89,139,116,139,160,161,197,202,221,262,310,330,412,511,607,980,996,1082,1267,1457,1638,1549,1481,1372,1543,1679,1596,1553,1640,1773,1817,1742,1571,1483,1553,1676,1624,1574,1610,1678,1816,1725,1592,1560,1598,1715,1683,1581,1658,1878,1901,1789,1655,1946,1726,1761,1660,1671,1836,2069,2061,1898,1730,1676,1838,1887,1716,1644,1822,1820,1922,1887,1694,1645,1696,1703,1550,1534,1709,1724,1901,1751,1657,1574,1684,1681,1622,1552,1720,2003,2411,1855,1701,1685,1768,1672,1657,1578,1677,1867,1860,1681,1749,1648,1714,1676,1464,1486,1668,1850,1798,1660,1517,1451,1374,1192,1028,864,787,665,623,598,548,542,482,427,420,449,320,275,272,254,223,214,198,156,151,131,141,120,89,97,73,82,60,59,51,41,38,48]
[98,94,110,90,151,128,164,213,242,255,312,362,391,505,531,800,1043,1159,1624,1586,1694,1671,1469,1466,1588,1585,1629,1636,1854,1860,1930,1731,1511,1548,1643,1617,1560,1615,1623,1755,2000,1843,1613,1532,1574,1630,1628,1617,1688,1872,1998,1849,1777,1690,1705,2025,1680,1844,1900,2113,2111,1970,1798,1748,1796,1804,1683,1764,1874,1961,2132,1870,1727,1681,1677,1694,1685,1641,1836,1798,2058,1841,1759,1683,1683,1644,1679,1733,1868,1921,2138,1956,1785,2164,1778,1726,1688,1705,1795,1996,2047,1822,1747,1666,1733,1636,1642,1597,1787,1900,1966,1725,1547,1517,1455,1249,1037,912,811,665,617,577,538,503,444,395,367,333,283,294,303,255,196,190,168,150,125,116,121,106,112,76,77,54,64,59,39,46,41,45]
[94,88,86,110,144,118,141,178,205,234,262,356,420,437,611,791,1073,1175,1577,1914,2053,2429,1718,1510,1436,1520,1537,1665,1959,2192,2231,2032,1790,1568,1540,1516,1537,1630,1852,2029,2155,1803,1693,1583,1619,1535,1614,1620,1863,2146,2140,2084,1850,1706,1589,1636,1743,1819,2463,2324,2515,2046,2026,1845,1810,1765,1782,1765,2080,2342,2399,2147,2035,1806,1688,1703,1702,1701,1962,2291,2234,2193,1771,1647,1634,1618,1728,1655,1933,2317,2286,2082,1947,1816,1740,1681,2053,1822,1907,2035,2101,1900,1751,1646,1582,1504,1571,1656,2039,2142,2084,1879,1681,1572,1439,1244,1051,840,777,731,637,569,472,425,422,351,347,307,302,260,269,252,172,227,164,140,138,116,133,101,99,77,74,69,47,50,51,38,46,34]
[76,100,92,128,115,148,150,177,184,240,291,320,336,481,525,869,1095,1232,1941,2423,2525,2507,2198,1789,1732,1546,1592,1868,2482,3072,2788,2827,2086,1834,1618,1588,1599,1773,2165,2680,2489,2271,2020,1641,1574,1587,1668,1755,2237,2753,2860,2442,2139,1785,1736,1805,1752,2017,2476,2829,3101,3184,2306,1740,1751,1717,1742,1990,2457,2760,2702,2610,2141,1811,1727,1615,1703,1844,2403,2771,2641,2446,2044,1780,1705,1586,1673,1834,2359,2764,2725,2486,2115,1881,1726,1673,1710,1847,2885,2643,2682,2448,2073,1779,1714,1607,1558,1917,2508,3104,2683,2502,2007,1614,1394,1102,943,795,741,641,599,514,452,397,349,344,319,252,276,254,204,194,158,179,130,146,145,99,92,83,80,77,59,64,57,49,36,34,27,27]
[76,90,108,77,114,128,122,192,174,239,263,302,309,413,519,673,915,1311,2207,2818,3162,3194,2872,2042,1701,1679,1659,2668,3222,3549,3260,3027,2634,1877,1688,1579,1620,1884,2574,3004,2910,2449,2082,1724,1578,1557,1708,1964,2485,2918,2937,2829,2378,1879,1615,1683,1731,2067,2792,3417,3389,3170,2645,2107,2213,1656,1696,2085,2804,3251,3436,3067,2519,1804,1640,1607,1552,1878,2614,3166,3028,2827,2214,1797,1590,1561,1539,1975,2596,3160,3065,2864,2381,1918,1725,1573,1546,1765,2453,2874,2883,3359,2179,1798,1611,1487,1561,1993,3013,3354,3135,2792,2092,1466,1151,1061,825,810,673,580,507,469,411,375,357,319,288,275,239,196,194,182,159,144,139,125,103,91,93,96,81,68,58,49,39,38,43,30,25,34]
[68,85,88,107,115,141,156,137,161,214,221,241,325,332,410,556,804,1179,1715,2376,2819,2935,2670,2073,1769,1699,1620,1880,2677,3100,3455,2945,2486,1862,1583,1465,1399,1678,2169,2605,2523,2209,1803,1612,1405,1468,1459,1609,2050,2495,2506,2448,2050,1674,1548,1549,1558,1725,2259,2727,2835,2657,2447,1933,1691,1563,1486,2030,2349,2692,2796,2707,2225,1702,1547,1461,1324,1649,2263,2591,2616,2464,2062,1618,1376,1326,1417,1632,2259,2518,2566,2423,2163,1723,1559,1476,1464,1592,2072,2423,2333,2450,2045,1548,1723,1383,1405,1752,2512,2783,2572,2477,1762,1327,1084,954,740,689,616,534,428,428,387,338,326,294,243,231,212,203,190,172,154,144,122,99,101,90,70,66,66,51,62,42,42,38,34,36,26,18]
[61,77,94,106,112,123,124,144,144,193,217,256,276,337,409,452,620,799,1247,1480,1906,2023,1948,1644,1445,1388,1259,1368,1696,2011,2109,2146,2230,1512,1384,1259,1232,1230,1520,1707,1742,1666,1496,1322,1293,1184,1240,1227,1504,1595,1982,1854,1559,1350,1351,1349,1361,1398,1645,1918,2111,2104,1754,1559,1408,1250,1224,1305,1582,1931,2441,2072,1539,1425,1215,1204,1111,1261,1627,1865,1913,1778,1537,1234,1185,1118,1163,1188,1565,1767,1859,1892,1572,1316,1286,1241,1163,1208,1445,1770,1793,1764,1486,1248,1214,1201,1093,1401,1549,1838,1887,1779,1448,1066,906,876,746,606,531,434,402,344,335,299,271,274,216,217,196,199,165,160,126,137,117,123,89,122,58,63,57,70,49,31,28,36,28,25,27,30]
[76,93,90,106,112,121,117,148,150,208,207,244,296,342,416,513,618,900,1105,1428,1543,1410,1281,1244,1089,1037,1054,1332,1499,1746,1530,1304,1251,1424,964,1039,1092,1301,1377,1386,1309,1212,1094,1009,1036,1063,1093,1236,1487,1451,1416,1235,1132,1145,1121,1171,1163,1364,1632,1691,1604,1392,1173,1145,1053,1088,1196,1347,1525,1640,1780,1177,1110,967,957,967,1053,1281,1486,1510,1310,1127,1005,956,883,963,1091,1258,1368,1510,1417,1201,1020,1083,959,1028,1080,1207,1395,1421,1299,1110,999,945,923,938,1020,1481,1493,1373,1182,993,933,761,678,598,545,467,370,336,318,318,297,237,214,216,193,159,148,139,109,126,111,104,118,84,74,93,47,52,38,39,37,23,32,33,26,20,18,21]
[70,91,68,84,95,109,111,130,144,162,179,221,215,276,298,402,475,566,744,859,1111,1161,1191,1258,1154,1146,1087,1102,1132,1224,1256,1294,1194,1138,1055,998,1143,1012,1106,1089,1200,1107,1069,952,938,902,950,1022,1116,1230,1204,1202,1069,1000,977,991,1008,1137,1176,1314,1406,1283,1227,1092,1021,1099,1060,1081,1097,1225,1329,1320,1198,1258,952,942,946,1011,1054,1213,1235,1180,1059,1032,827,894,927,984,1049,1204,1207,1149,1046,993,898,894,951,1029,1032,1168,1188,1039,1004,922,859,838,894,897,1057,1088,1302,985,833,771,658,581,559,420,411,354,312,293,279,237,205,220,206,184,144,127,133,111,122,123,90,87,80,60,60,60,65,41,46,31,37,26,22,28,22,19]
[68,91,75,85,93,109,118,143,115,145,157,204,241,249,281,342,397,477,551,719,844,934,1053,1047,1016,970,985,904,966,1003,1001,938,968,948,914,861,864,882,881,1103,1008,914,855,847,860,838,928,949,908,972,994,951,1004,911,896,944,946,1010,928,1118,1178,1108,980,966,946,1007,934,916,976,1029,1033,1022,914,895,856,821,1007,921,915,988,1017,886,876,876,824,847,818,892,852,909,992,946,872,878,935,852,840,847,875,986,994,918,870,801,803,844,805,822,839,962,876,784,703,720,584,498,467,405,356,331,259,269,231,243,197,175,196,148,123,125,121,103,112,110,78,78,71,56,61,43,57,42,36,40,32,27,17,18,23,16]
[58,71,76,59,78,105,83,104,124,127,147,175,184,206,255,300,323,371,426,483,585,627,666,723,763,751,693,706,742,702,732,734,766,746,713,723,686,715,704,728,736,707,858,696,706,652,679,729,737,751,750,755,732,740,747,698,727,814,797,816,805,844,827,772,816,747,736,789,845,839,896,821,828,769,716,689,700,713,725,933,727,761,744,724,737,684,713,709,670,704,750,743,792,800,675,721,714,679,723,726,644,749,671,714,704,678,667,644,668,651,600,634,580,497,468,430,443,337,325,283,270,207,240,198,195,156,148,137,122,114,95,95,80,85,87,64,79,56,49,53,41,50,42,23,32,25,27,18,22,15]
[64,57,65,69,59,86,88,121,102,126,131,145,192,179,235,254,248,291,330,353,442,465,480,558,542,608,549,593,622,575,563,663,589,588,588,606,637,592,639,654,569,637,586,579,730,563,607,624,621,626,639,633,633,558,631,599,669,661,685,661,680,735,675,692,675,657,639,675,623,655,693,656,679,639,625,624,637,621,587,626,626,678,742,638,580,605,635,636,561,637,603,643,615,616,588,594,615,616,611,592,592,583,589,605,576,560,537,560,519,517,509,452,446,450,407,417,319,335,280,298,197,205,194,169,182,135,157,134,103,120,102,86,85,68,76,58,59,51,49,47,41,28,40,28,14,27,27,23,27,8]
[58,61,59,57,70,69,81,88,119,115,152,166,163,176,217,208,283,273,273,337,346,420,449,440,472,453,490,548,497,540,506,530,527,551,501,510,511,517,486,510,565,505,511,509,488,509,538,520,589,467,526,535,509,540,550,532,514,510,551,592,590,568,551,543,554,518,589,564,570,538,569,520,526,569,512,546,538,565,541,545,514,522,520,489,517,584,569,578,546,510,503,536,560,578,518,557,542,555,543,526,501,510,483,507,510,504,409,455,441,427,420,395,383,358,356,337,321,276,280,227,190,218,199,145,144,136,130,103,109,95,79,85,78,77,70,63,57,47,43,34,34,26,36,35,33,20,16,13,18,10]
[32,59,58,58,67,70,99,79,94,121,86,142,150,181,175,188,190,191,241,276,313,282,365,345,358,414,388,397,386,419,467,428,404,410,436,442,427,414,426,416,427,447,417,471,445,434,409,401,404,464,495,461,400,483,460,416,448,445,501,452,461,474,458,471,446,470,417,458,504,464,424,438,465,461,399,436,438,447,432,422,441,484,458,454,430,470,422,430,495,399,441,423,438,435,446,447,415,408,428,433,391,426,457,411,395,442,373,391,395,375,350,333,364,324,296,271,278,238,219,197,194,177,178,167,127,138,98,112,99,104,70,87,60,65,47,45,48,36,49,46,41,39,27,20,30,18,20,18,16,17]
[38,41,41,65,61,61,68,79,90,103,123,120,134,130,158,158,211,205,225,224,279,281,301,282,348,319,345,387,380,356,372,388,380,347,387,368,344,409,371,409,348,412,401,371,357,343,366,385,410,333,372,382,382,415,496,423,389,417,358,386,413,420,444,413,374,372,401,407,429,440,422,383,419,372,349,377,414,387,367,414,403,378,434,375,354,366,386,380,373,380,356,460,380,363,359,346,353,405,390,379,360,404,377,352,374,332,350,329,362,341,335,292,289,303,268,244,189,199,192,201,182,164,164,148,155,131,88,97,109,79,83,71,56,70,56,47,48,39,41,31,40,35,44,22,20,27,18,13,14,23]
[40,56,52,48,65,63,58,81,97,81,104,105,123,132,170,150,159,161,168,214,268,263,253,261,271,263,302,295,315,330,337,344,309,368,353,329,326,345,342,349,368,333,318,361,361,361,350,329,357,368,362,357,350,324,329,344,295,373,358,390,389,416,347,326,364,374,363,378,364,398,384,343,374,352,342,333,350,346,350,353,389,371,327,388,367,307,326,360,376,345,373,372,365,340,400,332,318,345,327,328,333,322,331,343,295,343,277,317,299,283,298,228,285,248,254,212,193,177,176,167,172,131,134,133,124,107,101,101,75,83,74,59,89,67,50,39,32,47,34,35,27,33,33,24,27,17,16,13,13,19]
[31,41,46,51,49,68,71,73,100,78,102,108,105,116,123,136,143,139,140,169,169,216,215,268,214,223,264,236,261,267,287,264,263,279,276,271,287,279,319,303,286,278,303,305,287,278,296,298,286,333,284,298,334,325,318,301,287,303,327,311,369,351,348,335,314,305,339,298,318,312,292,328,359,321,290,288,331,265,303,305,283,312,308,294,292,278,295,295,306,283,268,292,307,284,279,303,294,341,266,273,287,265,295,300,258,261,217,287,272,237,237,238,226,202,196,189,170,160,197,181,143,129,127,118,113,114,89,86,72,63,60,76,62,53,51,52,48,50,35,40,23,18,19,26,18,9,25,9,17,16]
[49,36,45,48,50,37,48,72,71,70,92,84,117,107,103,115,147,143,147,182,186,202,182,183,208,179,287,228,225,250,243,254,261,241,243,245,241,246,260,245,257,263,274,259,241,244,260,230,250,257,281,260,258,239,234,250,266,260,253,274,272,261,290,298,245,261,261,265,291,285,259,249,276,280,242,240,260,254,250,261,252,262,265,252,242,266,227,245,259,227,265,282,264,273,264,243,239,252,239,264,290,267,280,264,278,223,218,223,213,217,219,183,197,172,169,179,165,164,136,144,114,153,127,110,93,78,78,77,85,69,68,62,55,49,48,37,38,42,28,24,31,17,32,21,20,17,15,17,9,16]
[23,41,51,49,53,54,69,66,70,65,73,95,89,95,93,105,124,120,108,126,156,174,166,143,167,164,162,169,175,253,253,223,225,199,218,234,245,196,235,223,229,224,242,211,228,209,245,212,215,226,203,229,230,223,231,207,211,191,228,245,214,243,251,224,248,217,286,231,230,236,236,255,222,238,220,232,210,218,224,212,250,239,226,226,203,210,218,221,225,231,262,243,233,214,220,220,227,281,242,208,230,216,240,269,230,251,216,212,204,202,186,178,187,171,153,158,143,145,126,124,128,100,92,92,85,88,79,76,67,64,58,50,52,60,43,45,32,26,37,33,32,30,26,30,18,11,16,14,10,13]
[34,46,42,35,33,53,53,48,60,58,79,83,87,79,69,94,83,118,109,126,109,121,137,152,164,165,130,177,178,167,204,212,210,191,210,188,195,201,191,189,210,200,221,196,184,223,180,189,193,198,199,212,195,204,202,197,198,187,191,202,227,220,216,213,202,204,209,209,205,231,200,220,210,213,194,184,197,186,205,190,188,177,187,192,209,212,220,211,203,235,205,189,195,196,171,189,208,193,216,208,202,179,212,172,183,185,207,178,165,151,174,174,137,124,131,144,148,113,114,100,111,97,81,91,74,85,69,71,55,73,43,46,57,38,32,24,34,38,29,22,35,18,26,22,28,17,21,12,15,14]
[32,37,34,39,52,47,46,43,61,65,72,65,65,70,75,79,76,93,87,104,98,138,109,122,123,132,116,134,158,152,144,162,190,176,166,175,165,156,159,182,157,156,175,150,162,170,189,165,149,156,168,183,188,202,175,190,174,177,172,196,192,182,223,174,194,188,149,190,193,184,161,192,201,194,179,155,183,169,197,182,186,172,177,195,194,163,197,155,164,157,185,167,189,158,150,153,198,147,161,169,185,165,157,151,149,162,156,151,149,184,142,156,152,133,133,108,127,95,99,116,84,88,87,86,79,86,66,86,54,46,43,62,58,41,43,29,29,33,35,29,27,16,21,20,21,14,23,13,10,16]
[35,39,30,37,42,42,46,43,51,62,57,55,67,66,87,105,71,97,96,93,100,117,126,126,119,113,135,134,130,143,150,139,163,171,145,121,156,214,159,163,166,164,157,157,140,168,173,169,153,171,190,174,151,147,151,151,159,149,172,173,159,163,173,167,142,152,159,183,146,157,173,180,152,153,148,186,141,130,175,126,153,181,162,179,160,173,162,172,158,144,164,187,188,150,148,139,155,161,150,136,143,164,154,167,180,130,157,127,158,140,143,150,131,130,102,111,111,115,99,84,96,70,80,71,77,58,73,58,46,55,43,48,54,37,38,27,33,21,24,26,28,31,26,13,16,15,13,15,12,15]
[31,33,37,40,31,40,38,40,56,48,62,53,60,51,63,68,72,80,86,91,99,94,100,113,100,105,112,112,107,145,125,131,138,121,139,135,120,119,134,133,177,170,140,127,142,140,129,128,161,163,153,176,145,132,138,152,151,136,135,132,152,154,137,152,146,117,129,149,157,127,139,137,131,135,118,146,151,171,116,141,130,122,123,144,126,145,132,134,142,135,125,152,130,128,137,123,123,128,131,112,147,126,130,133,145,111,128,122,108,105,126,113,140,107,105,126,87,82,80,84,83,83,82,65,53,62,59,59,58,50,41,41,42,43,34,38,39,28,23,29,24,17,16,18,17,24,18,14,11,7]
[32,27,35,29,22,29,49,44,44,47,43,59,52,51,54,58,72,62,77,68,87,83,92,101,101,95,105,113,110,100,119,113,114,140,117,109,119,109,109,105,119,119,130,149,130,94,111,109,114,131,114,157,126,124,112,118,107,139,116,147,120,131,131,118,113,121,120,121,130,142,129,110,136,110,103,121,131,128,126,133,162,113,111,114,109,105,100,111,128,122,115,107,129,113,142,131,123,137,126,119,139,117,135,109,136,118,108,120,114,112,106,116,90,115,80,81,65,83,93,66,73,52,54,70,62,61,49,52,50,40,41,48,40,25,38,23,27,32,20,16,13,19,17,25,15,19,15,11,9,9]
[25,21,15,26,33,27,42,34,47,39,36,43,39,49,61,43,62,66,73,73,97,71,78,66,72,64,94,84,95,95,88,101,88,101,113,101,97,84,108,101,101,103,99,92,92,102,138,108,119,112,109,101,112,97,119,100,123,97,117,116,104,103,121,133,108,118,95,108,116,125,95,130,106,96,102,114,121,115,83,118,110,109,108,128,117,108,94,117,103,100,86,117,124,114,101,112,108,117,103,103,118,97,120,89,118,95,104,87,99,87,101,79,99,86,80,87,66,78,74,57,75,54,62,51,60,53,53,38,34,39,45,30,42,40,42,35,35,23,29,24,24,17,19,18,18,9,10,14,9,11]
[25,34,30,22,34,29,27,41,30,33,43,61,39,50,52,55,51,44,59,80,58,66,58,65,72,75,65,63,93,94,82,83,71,81,88,91,104,83,85,101,109,75,79,88,101,84,101,102,127,99,97,93,94,100,102,104,119,91,91,112,102,94,104,102,96,108,87,102,76,110,90,114,94,91,92,100,86,119,98,96,88,92,95,100,95,93,95,92,99,118,99,106,89,101,76,96,99,97,124,88,101,96,104,87,88,103,106,88,75,81,75,83,69,80,63,73,63,67,57,43,59,48,49,62,46,41,39,42,28,39,37,39,29,32,30,32,22,17,17,21,16,14,14,14,15,14,14,16,13,7]
[21,21,21,28,15,28,32,42,33,29,31,43,49,35,50,40,48,36,60,47,48,57,66,58,70,73,77,71,75,86,92,90,73,78,89,78,78,95,79,86,94,93,74,80,113,77,87,86,92,89,90,93,97,95,94,87,79,91,93,73,85,90,89,76,83,80,102,85,91,63,86,82,85,88,78,91,78,89,82,86,67,76,94,85,95,77,89,88,91,86,76,92,88,79,81,78,95,93,100,76,91,98,90,81,84,74,84,68,71,80,75,61,61,70,63,62,49,68,66,57,56,49,56,44,50,31,56,34,45,34,28,26,32,36,35,27,14,22,21,29,18,16,12,16,6,5,13,14,10,7]
[20,23,32,22,19,23,26,24,26,35,36,37,22,38,33,54,36,55,49,59,52,47,62,53,65,67,67,66,83,71,82,71,75,79,71,76,71,92,86,67,76,101,81,62,77,94,67,77,79,90,73,71,77,67,98,76,77,84,90,86,82,94,78,77,61,82,73,65,73,72,86,73,78,85,75,82,88,76,87,84,75,73,84,95,77,85,78,87,70,81,84,99,65,61,93,76,67,83,67,83,68,85,73,72,66,64,72,68,66,61,69,63,63,52,65,65,53,50,57,47,47,48,50,49,46,45,45,25,35,49,31,27,32,31,21,19,31,22,19,26,21,18,16,8,9,10,7,13,9,8]
[17,19,16,23,18,25,22,27,19,21,35,25,28,30,33,41,40,41,52,50,47,46,51,51,48,55,51,41,57,63,65,49,60,62,68,77,60,74,68,76,67,83,71,86,69,87,66,83,74,63,73,68,70,70,64,67,72,89,76,91,80,71,64,58,62,75,61,64,74,72,80,62,80,67,62,74,72,57,62,55,66,69,63,75,61,72,77,68,74,76,70,67,72,76,72,68,55,61,73,71,64,53,74,78,59,62,70,80,60,64,71,59,65,53,51,51,49,48,48,45,44,41,42,34,38,34,36,32,33,22,31,38,26,26,22,24,13,23,16,21,11,13,14,18,20,12,13,9,8,5]
[16,21,23,18,29,25,17,27,23,35,20,27,26,23,27,32,34,33,52,44,40,45,60,41,51,50,44,38,59,57,60,43,57,63,63,70,71,54,69,68,55,65,57,62,55,70,75,71,70,63,58,67,72,65,63,70,60,71,61,54,97,65,62,65,51,62,48,63,70,81,56,68,63,67,69,61,55,63,59,61,62,69,59,62,45,72,72,58,54,73,69,62,66,55,74,76,73,66,65,50,58,63,54,74,54,58,50,57,41,44,48,52,58,35,47,56,60,46,46,35,37,33,30,22,25,34,33,31,26,27,27,35,21,31,30,22,23,22,16,10,7,15,8,23,19,10,5,8,8,13]
[20,9,22,14,21,18,28,22,31,22,26,20,27,19,33,28,34,29,34,37,50,41,27,37,41,51,46,53,36,45,42,44,61,61,55,64,52,56,50,73,65,62,50,50,68,66,60,49,53,52,64,65,56,55,47,61,55,44,55,68,63,58,78,60,54,52,56,68,58,60,41,58,53,65,52,51,63,55,62,68,49,58,52,54,55,55,69,64,51,49,49,47,56,57,67,60,57,51,40,50,51,42,49,53,65,46,45,59,56,39,50,51,56,42,44,44,37,36,43,37,38,32,35,33,29,25,31,30,33,24,28,21,19,27,18,15,21,20,21,14,20,18,18,12,6,17,10,10,15,4]
[18,22,15,15,12,25,21,15,16,16,11,19,25,36,30,37,33,30,33,31,33,40,42,41,40,38,39,30,55,41,46,46,30,52,46,42,30,48,45,49,53,42,48,44,72,56,58,47,47,46,68,39,41,59,46,56,44,60,40,51,55,56,62,47,36,59,63,46,54,52,51,43,48,49,57,39,53,49,54,58,51,58,52,54,49,48,63,49,52,42,53,53,56,49,44,38,51,40,34,65,43,40,46,52,51,36,49,42,38,34,32,38,40,31,52,38,43,42,38,27,43,34,30,22,25,29,26,20,18,22,24,17,22,12,9,14,12,13,15,9,19,12,11,11,9,10,9,10,12,8]
[15,8,24,12,13,24,14,23,23,15,32,21,24,28,24,23,25,31,23,29,24,22,26,28,35,37,32,38,45,42,52,52,54,45,40,43,46,46,52,37,47,56,42,38,43,43,44,53,54,40,49,54,51,51,44,49,50,40,46,54,46,42,54,37,65,48,37,47,46,54,43,46,45,40,46,46,40,34,37,51,55,44,39,55,31,45,34,44,44,51,55,48,57,35,45,40,51,41,41,50,39,45,43,45,46,35,48,22,37,49,38,33,36,32,37,22,23,32,27,18,24,33,19,26,33,26,27,21,25,20,16,26,28,13,15,18,15,8,12,9,12,16,9,9,9,12,6,3,4,10]
[15,14,15,15,12,21,24,13,26,12,18,19,18,24,25,22,23,23,23,37,26,30,22,32,38,29,28,36,37,36,36,43,40,48,44,44,36,41,33,38,26,45,38,45,40,48,43,48,37,42,37,38,44,36,42,38,47,45,45,39,43,38,49,37,39,37,43,50,43,47,47,51,49,39,43,50,44,50,43,34,40,58,34,43,48,40,39,30,43,46,40,47,40,42,35,46,46,40,45,54,40,40,42,37,34,34,42,40,26,40,41,25,36,40,27,27,19,39,33,24,19,31,15,26,30,32,18,17,17,22,13,22,22,17,19,15,20,9,15,17,9,12,7,8,10,11,10,5,3,8]
[13,19,19,13,26,19,20,23,20,10,11,17,23,25,16,25,28,18,27,29,25,36,19,34,21,29,29,23,36,28,30,44,35,39,35,30,35,52,37,37,44,34,38,36,36,45,43,36,31,44,45,38,55,44,34,36,45,49,33,37,40,37,44,34,35,30,30,48,32,32,40,32,41,39,53,55,29,33,26,30,33,45,35,35,44,31,54,30,37,45,37,37,41,34,37,28,36,44,37,44,35,33,27,34,28,30,28,33,29,31,31,28,38,27,36,20,24,16,20,14,19,20,18,22,22,15,19,13,23,15,9,11,16,20,18,12,8,15,12,9,8,10,11,8,10,10,11,6,8,5]
[15,11,21,24,14,20,19,16,24,20,14,18,21,17,14,24,19,16,17,26,22,31,21,26,26,23,35,30,21,27,38,34,25,32,41,35,37,33,35,36,32,32,34,44,34,36,41,36,33,28,39,32,44,35,39,32,28,45,33,36,34,34,32,28,34,36,48,41,47,35,42,39,25,31,29,39,41,43,30,33,38,28,32,44,40,33,31,24,36,34,35,47,38,42,30,25,41,41,37,38,18,34,28,42,25,23,23,26,28,25,27,27,28,24,25,32,26,21,22,22,21,18,24,14,21,25,26,16,18,17,20,22,18,14,13,11,16,19,12,16,6,6,11,9,8,8,5,8,8,11]
[11,16,19,18,14,13,22,19,11,16,25,25,23,18,18,23,18,19,22,15,20,16,22,26,31,24,24,23,23,20,17,24,29,36,42,20,33,24,23,34,35,30,24,51,35,37,38,31,34,31,31,34,27,34,29,32,41,36,37,35,37,28,40,35,36,40,21,33,32,31,33,31,28,37,26,20,25,25,31,34,37,23,24,34,32,32,34,40,37,28,37,37,20,30,29,25,24,27,37,19,33,31,42,35,32,30,28,21,22,26,24,31,28,25,24,25,18,15,22,14,13,20,28,16,17,19,17,23,16,16,13,10,10,10,8,22,7,10,14,12,12,16,12,7,8,9,10,4,8,6]
[17,12,15,21,12,16,19,11,17,22,15,18,15,18,11,16,21,22,19,21,28,24,26,20,18,30,14,23,17,21,24,30,21,30,15,27,31,29,16,25,18,39,28,45,30,24,37,29,32,34,31,29,37,26,30,31,30,28,30,30,25,23,28,31,31,19,30,32,32,30,19,22,36,25,18,18,31,31,34,23,23,29,30,29,34,39,26,34,32,21,20,32,18,34,25,37,20,25,24,29,19,28,26,22,22,23,32,24,24,21,19,21,19,17,19,24,17,24,16,23,25,18,28,14,15,15,13,19,10,6,15,9,11,17,14,15,13,6,11,10,12,12,5,9,14,7,11,5,9,8]
[12,12,12,14,13,14,13,18,11,16,9,11,18,14,11,20,16,26,19,14,20,23,20,17,15,27,22,34,26,25,26,25,31,26,23,27,27,28,27,29,38,24,35,22,27,21,37,29,28,35,32,50,23,30,29,33,24,34,39,26,32,36,28,23,28,31,28,30,24,24,29,18,19,34,30,20,27,28,26,22,17,27,24,29,24,30,30,27,20,25,26,26,19,37,28,26,29,31,21,28,26,20,28,18,31,20,22,24,23,23,25,18,23,25,20,28,24,19,19,14,12,8,15,21,25,20,14,9,18,16,15,16,12,13,13,13,11,11,7,6,11,7,8,5,9,4,6,10,5,8]

{"sheet":"Figure_1D_layer_6","index":6,"n_rows":150,"n_cols":150,"rows_kept":150}
[7,11,8,9,8,16,11,18,14,21,27,28,31,33,42,57,64,68,82,96,98,96,102,125,131,148,148,135,180,208,175,198,199,203,182,243,237,240,236,231,240,246,263,261,269,239,327,283,277,268,256,287,278,293,277,295,288,294,287,292,289,283,320,297,282,288,293,280,287,269,297,275,298,311,289,327,309,279,292,256,283,300,325,306,377,308,307,296,289,299,294,274,324,283,280,300,324,275,276,260,271,245,287,254,287,251,270,255,246,253,250,250,256,231,265,219,220,231,209,172,178,191,201,175,170,170,141,137,141,111,125,101,114,107,106,87,83,80,61,82,63,65,53,50,44,54,58,46,47,31]
[9,6,11,16,10,15,19,25,15,29,21,33,38,40,58,51,74,79,104,96,102,117,128,125,131,145,156,187,211,177,177,218,222,231,213,283,260,246,257,266,254,247,274,271,255,266,292,299,278,289,307,295,306,311,334,322,323,335,334,315,320,332,339,357,329,335,346,369,329,314,357,318,338,319,351,356,328,304,348,313,305,320,343,315,336,307,336,311,340,361,329,400,302,318,300,323,322,311,312,305,289,297,282,286,299,285,313,290,263,270,290,262,261,260,261,272,238,247,192,213,190,193,180,187,164,174,155,132,176,112,125,104,97,102,96,92,82,81,97,65,82,64,57,61,77,67,45,52,38,37]
[10,15,21,11,15,17,14,27,14,31,30,52,50,60,63,61,75,98,91,143,128,147,130,165,149,162,164,193,213,231,232,214,268,237,265,266,256,260,309,292,302,299,297,289,336,298,343,314,300,314,337,324,366,315,359,333,399,348,362,321,342,361,372,346,358,382,374,346,332,350,389,384,345,354,361,353,397,366,378,313,348,317,365,342,352,356,343,332,351,351,309,359,291,320,407,343,359,300,349,293,374,316,361,295,351,269,320,298,298,288,303,286,306,288,263,258,239,258,205,217,192,208,196,215,168,182,162,152,171,124,126,138,115,98,103,90,88,87,81,86,83,68,74,58,50,58,45,37,35,40]
[14,11,16,13,18,21,28,29,31,27,49,43,52,74,78,87,116,130,150,124,136,152,199,179,178,178,200,217,260,210,267,264,256,276,274,294,342,327,335,302,305,327,336,316,315,332,326,342,332,359,349,369,373,351,394,368,383,421,366,474,378,396,387,386,381,406,385,434,422,394,409,392,434,378,373,414,410,395,430,391,387,413,387,374,377,405,405,405,433,375,391,402,357,388,352,376,374,423,374,339,354,380,379,342,322,315,362,323,326,343,302,301,290,289,271,257,257,248,223,238,253,227,214,194,194,178,155,176,164,132,144,137,123,121,130,95,100,108,86,93,72,85,72,66,62,61,56,53,47,48]
[8,17,17,22,20,28,26,28,38,30,62,50,69,65,74,112,100,121,141,146,176,179,189,210,194,262,257,239,269,291,305,290,300,323,310,332,356,314,353,331,316,369,375,366,377,388,376,398,425,334,367,393,406,408,412,430,416,391,425,417,444,387,516,419,459,421,411,420,422,421,431,434,398,455,445,445,430,418,395,426,411,423,425,423,450,443,418,431,406,420,422,391,393,405,410,398,431,425,413,402,482,425,401,437,346,459,380,373,330,370,370,364,340,314,287,306,288,291,250,233,262,262,222,217,200,216,179,176,155,169,146,126,132,125,111,118,108,116,91,88,82,62,77,64,61,58,53,50,57,52]
[17,16,17,18,18,24,27,42,46,50,52,69,82,90,112,100,133,133,133,165,181,188,210,228,226,215,257,310,363,331,326,324,320,361,342,354,392,394,343,390,376,378,373,418,407,404,402,445,440,432,449,446,446,434,419,417,415,427,432,413,474,440,450,450,422,447,516,426,431,421,432,467,457,490,436,465,466,407,457,469,420,441,497,459,480,462,466,420,442,469,468,437,425,420,483,411,414,431,398,419,424,431,438,497,406,390,389,392,391,376,360,355,356,333,355,303,326,331,263,280,235,261,252,229,205,189,200,176,164,152,138,136,136,104,116,109,103,112,87,90,107,73,75,68,42,62,59,70,50,47]
[16,23,22,13,22,26,35,47,50,54,69,65,81,109,107,99,139,148,164,165,196,197,249,245,268,277,321,317,341,346,340,400,502,387,403,391,439,388,401,462,422,441,467,452,444,451,463,439,447,439,431,486,496,485,528,449,474,471,491,507,505,558,532,479,458,513,462,489,501,531,514,492,487,495,513,485,487,488,538,509,474,493,517,465,496,470,454,465,499,467,526,470,457,473,480,420,471,475,454,424,481,460,418,427,429,444,490,429,417,407,410,417,374,369,391,346,363,328,315,294,266,264,218,283,286,221,197,210,165,172,156,136,144,114,123,116,123,111,96,105,72,89,65,66,79,56,57,51,53,49]
[16,24,29,20,32,30,48,51,64,76,77,64,96,106,126,123,161,188,169,216,257,238,285,271,262,335,330,333,399,390,358,411,407,393,460,537,417,435,454,463,484,479,498,475,521,502,513,480,532,545,489,506,533,538,560,518,527,548,525,521,573,537,602,544,552,549,555,530,532,575,523,542,554,600,537,576,528,553,557,541,538,571,571,543,520,528,565,500,510,546,537,522,527,530,489,538,511,537,544,532,491,534,480,502,488,471,462,474,446,421,484,459,409,420,404,402,377,356,332,328,313,302,288,272,240,230,212,205,188,204,166,144,146,160,132,130,119,106,132,103,105,71,103,76,60,73,57,63,49,54]
[26,24,33,34,33,39,54,55,52,62,83,100,109,153,149,177,174,201,184,190,259,267,303,294,320,315,350,395,400,473,469,473,466,512,511,498,481,493,630,490,553,540,547,533,553,561,531,508,555,540,612,580,589,582,579,617,593,563,593,597,640,619,666,657,641,633,651,596,593,593,620,672,592,578,620,610,655,627,568,637,603,573,636,564,607,627,555,534,581,541,599,569,623,587,594,525,563,582,565,540,563,548,547,527,509,529,483,535,467,498,529,495,437,534,429,423,393,387,376,319,340,311,294,280,250,228,282,189,200,183,178,150,174,136,135,141,116,105,107,89,85,84,82,81,58,71,69,57,50,52]
[19,38,34,20,53,53,57,61,63,92,95,123,117,148,192,189,203,254,253,263,301,326,310,345,375,383,413,420,437,479,461,533,545,519,518,535,550,589,552,614,619,683,603,633,648,600,600,628,653,622,618,660,649,629,632,591,615,648,644,580,685,698,661,697,643,688,662,630,601,657,605,676,695,690,636,638,725,684,656,825,622,675,698,629,645,649,647,617,660,662,655,653,666,613,599,606,629,574,570,623,578,620,614,594,551,558,546,509,502,483,517,527,492,444,501,415,511,358,355,355,321,324,351,255,243,267,215,225,208,203,180,182,170,131,154,133,134,123,125,95,104,95,86,83,70,64,64,50,63,51]
[24,31,37,49,52,41,64,92,102,99,98,126,137,185,166,182,218,253,287,305,292,374,342,399,419,424,482,478,494,518,531,536,570,554,621,610,583,631,613,623,628,661,716,698,781,703,689,690,661,684,709,673,690,658,727,675,756,743,703,660,692,743,704,692,674,677,759,710,749,724,653,745,745,688,708,696,692,680,664,689,664,811,722,627,654,676,701,679,639,665,612,659,734,700,673,648,669,691,659,608,611,619,637,620,598,622,565,586,572,533,551,495,544,476,507,489,451,443,406,499,385,367,374,351,293,282,268,260,218,209,189,194,163,156,122,137,113,124,112,100,116,84,94,95,75,74,72,64,62,65]
[21,36,45,35,48,54,73,85,95,116,146,147,167,168,188,237,240,250,321,332,347,365,380,438,487,454,561,546,561,585,582,625,621,644,635,658,735,665,682,693,739,757,678,713,699,735,739,931,728,800,773,798,739,768,782,769,739,826,783,780,791,789,858,772,792,780,804,723,778,768,740,838,780,806,779,828,744,784,744,765,790,823,791,766,859,773,737,768,728,690,702,706,723,732,664,735,755,687,719,678,688,705,713,652,693,654,682,687,635,603,611,568,575,522,609,497,510,468,494,388,441,386,412,327,297,308,279,253,230,224,226,215,194,163,171,161,154,127,109,115,109,101,106,84,71,75,75,57,60,46]
[33,24,44,54,47,67,80,67,105,139,133,221,163,195,231,256,303,346,352,341,397,457,459,475,503,527,560,579,627,663,725,713,655,709,758,659,747,775,737,768,750,786,765,807,754,758,741,823,954,828,791,785,834,812,770,796,811,851,824,825,809,833,874,852,864,815,808,851,808,875,826,828,778,812,867,803,832,823,868,806,794,838,822,839,773,913,815,825,798,762,806,796,808,776,817,772,732,764,737,771,742,717,745,693,726,713,688,722,648,641,658,590,635,553,526,539,480,458,481,456,422,378,370,450,315,303,279,227,280,197,215,182,221,159,171,139,135,125,117,113,104,92,105,91,88,67,58,77,58,53]
[34,34,64,58,67,67,73,96,114,130,158,175,170,209,295,281,281,334,404,432,405,487,501,502,572,589,603,651,664,725,731,751,744,762,717,752,762,773,814,827,788,857,841,840,831,796,840,872,845,865,897,1081,944,901,889,870,890,867,940,911,902,919,862,946,953,915,938,867,890,914,952,886,891,950,859,852,870,922,904,891,900,881,870,864,870,843,840,832,864,1045,858,821,822,871,808,783,829,857,857,876,809,836,802,783,805,784,735,759,739,672,711,668,688,620,601,604,603,553,494,472,449,419,397,395,333,330,372,297,280,246,211,202,190,187,157,172,162,138,118,134,118,88,103,102,100,58,82,72,75,66]
[39,48,43,53,67,86,102,98,131,166,159,192,198,243,252,290,319,448,426,447,466,556,561,560,616,677,716,757,756,775,832,751,791,848,896,837,840,879,868,946,915,967,900,856,918,873,895,944,950,908,1017,937,1005,980,1240,933,928,986,1007,972,1017,1064,1058,1020,966,947,1012,943,943,1016,971,968,930,916,999,928,934,947,947,1021,941,902,951,967,922,904,898,898,882,916,920,1115,894,940,911,844,916,878,901,851,865,867,858,812,823,808,789,717,804,804,755,766,705,667,678,641,599,598,573,506,483,480,419,410,366,347,302,294,303,320,233,204,203,167,192,179,162,143,120,113,110,132,113,91,87,89,83,76,69,65]
[39,47,49,55,78,78,94,111,125,151,204,220,266,276,284,339,379,382,424,643,580,531,596,680,685,716,698,796,792,892,888,939,930,921,939,885,912,922,976,1009,986,1021,1022,1040,987,984,996,968,1045,1024,1097,1081,1106,1041,1074,1019,1015,1264,1081,1030,1078,1083,1080,1107,1051,1063,1043,1079,1044,1161,1121,1084,1079,990,1061,1044,1014,1060,1042,1062,1002,1065,1053,1024,1008,1028,999,981,1042,965,1065,1038,968,977,1175,954,985,941,979,992,1006,941,889,954,900,875,846,940,831,815,874,756,747,699,719,686,633,581,570,503,541,509,463,398,390,356,328,297,303,266,225,240,192,185,168,155,151,148,120,133,126,125,81,103,92,89,80,73,65,48]
[48,51,61,73,71,89,88,122,134,159,201,250,261,317,341,355,463,436,532,523,565,689,829,778,780,721,849,874,927,1003,1008,1022,991,1049,1073,988,1022,1088,1050,1134,1126,1139,1098,1122,1114,1154,1128,1175,1069,1107,1124,1160,1167,1124,1135,1144,1165,1030,1227,1221,1413,1223,1191,1125,1142,1138,1157,1127,1090,1195,1171,1152,1239,1141,1116,1151,1042,1052,1097,1128,1189,1095,1112,1059,1042,1068,1053,1005,1079,1052,1125,1113,1086,1013,1021,1017,1004,1251,990,996,959,1035,984,982,910,929,890,871,890,836,849,780,760,742,697,644,677,623,590,530,511,479,431,398,383,404,285,331,302,273,255,270,224,190,210,175,151,160,137,137,116,130,104,102,90,71,75,79,77,67]
[67,57,62,81,77,125,135,150,158,179,222,289,296,364,390,464,526,517,555,588,683,697,791,808,777,1041,936,944,1028,1064,1082,1139,1123,1104,1087,1105,1169,1193,1139,1185,1176,1267,1244,1212,1154,1163,1134,1189,1219,1189,1251,1332,1190,1204,1216,1137,1191,1225,1223,1247,1247,1236,1481,1231,1229,1199,1221,1226,1195,1183,1135,1294,1247,1201,1175,1217,1138,1118,1114,1136,1233,1205,1178,1193,1138,1095,1138,1121,1184,1171,1115,1113,1207,1146,1156,1144,1106,1103,1032,1166,1279,1055,1086,1058,984,964,959,924,1009,989,950,867,856,831,742,764,724,638,657,600,580,522,462,430,413,403,380,338,300,277,256,261,239,218,168,182,152,188,147,130,139,112,115,96,85,93,93,66,74,65]
[58,66,57,77,82,107,118,132,169,195,276,255,292,344,467,507,544,587,636,678,804,820,776,845,829,930,949,1020,1336,1133,1202,1205,1236,1212,1171,1205,1150,1224,1239,1238,1364,1279,1280,1290,1238,1323,1268,1257,1284,1444,1384,1387,1361,1300,1301,1320,1274,1296,1310,1387,1341,1401,1384,1396,1276,1585,1403,1340,1332,1443,1348,1358,1327,1307,1206,1342,1225,1299,1270,1316,1268,1298,1288,1212,1248,1211,1207,1243,1277,1197,1258,1165,1241,1188,1272,1147,1181,1193,1178,1137,1188,1192,1192,1396,1079,1023,1092,1061,1081,1007,988,997,893,852,844,752,743,716,701,635,507,551,454,529,424,387,357,342,326,316,281,243,253,245,201,164,170,163,139,149,183,110,142,118,87,99,73,83,73,80]
[60,60,68,90,90,105,131,141,166,230,229,279,330,406,471,533,614,666,713,804,828,883,932,916,1091,1060,1154,1158,1271,1310,1310,1645,1278,1314,1277,1324,1345,1458,1441,1406,1467,1430,1463,1391,1426,1411,1406,1425,1401,1424,1505,1493,1458,1413,1492,1545,1464,1495,1434,1507,1500,1482,1490,1539,1494,1499,1462,1410,1812,1520,1445,1433,1479,1441,1361,1467,1495,1364,1484,1447,1356,1358,1403,1348,1431,1359,1282,1401,1435,1418,1421,1370,1353,1326,1245,1329,1366,1320,1238,1297,1299,1262,1279,1250,1211,1256,1410,1230,1130,1150,1091,1022,998,919,896,839,795,736,667,661,610,575,532,496,483,431,421,360,379,313,265,241,285,244,228,224,178,169,177,148,141,124,115,139,115,72,90,90,82,70]
[61,77,85,82,112,108,162,169,190,230,275,277,337,409,510,550,689,763,934,986,1055,1110,1098,1183,1159,1245,1292,1317,1472,1461,1492,1590,1483,1428,1697,1392,1515,1537,1588,1589,1547,1558,1571,1611,1518,1580,1493,1606,1673,1643,1668,1592,1577,1669,1522,1598,1606,1632,1646,1630,1669,1734,1634,1556,1561,1611,1575,1641,1654,1721,1649,1960,1586,1510,1564,1507,1558,1541,1605,1612,1557,1521,1455,1447,1430,1370,1407,1484,1537,1484,1465,1411,1467,1422,1457,1424,1415,1377,1378,1464,1504,1432,1395,1300,1330,1283,1292,1355,1267,1579,1266,1188,1137,1047,1027,872,886,738,761,687,628,560,543,464,509,470,397,409,335,322,285,298,276,274,229,234,204,182,203,147,137,140,140,119,115,101,121,81,89,80]
[88,76,88,106,98,111,151,144,199,228,299,357,368,423,527,676,797,950,1091,1201,1313,1362,1309,1332,1414,1417,1475,1587,1686,1783,1797,1704,1667,1565,1580,1638,1673,2141,1881,1985,1873,1866,1783,1700,1694,1746,1777,1874,1899,1994,1908,1875,1776,1696,1707,1675,1784,1884,1900,2080,1987,1833,1804,1785,1789,1703,1784,1851,1884,1883,1921,1837,1763,1719,1997,1666,1786,1733,1787,1865,1841,1758,1634,1631,1634,1608,1646,1632,1755,1726,1744,1664,1590,1590,1564,1595,1592,1604,1691,1603,1682,1581,1530,1449,1449,1507,1509,1547,1583,1501,1512,1613,1237,1177,1078,969,879,818,790,736,657,616,534,586,488,478,402,392,387,376,285,315,274,268,270,244,205,185,198,176,139,146,152,131,116,109,102,82,78,95]
[71,78,108,115,112,139,165,156,239,259,327,317,367,501,589,651,836,1094,1328,1422,1642,1651,1549,1591,1534,1520,1566,1803,1910,2062,2038,2007,1867,1727,1683,1731,1818,1995,2009,2201,2581,2065,1845,1840,1832,1760,1889,2036,2204,2302,2246,2092,1925,1918,1743,1781,1886,1966,2244,2226,2183,2178,1926,1950,1897,1838,1915,2028,2030,2156,2160,2007,1807,1823,1759,1754,1794,2102,2063,2010,2023,1932,1775,1742,1765,1705,1695,1837,1911,1971,1946,1822,1781,1643,1597,1538,1664,1794,1863,1947,1825,1805,1660,1610,1518,1576,1667,1761,1731,1766,1799,1557,1368,1295,1172,1303,1004,815,771,714,749,649,594,581,548,453,449,429,392,370,354,300,242,275,255,249,227,186,190,181,153,162,152,121,106,108,77,85,74,81]
[75,70,82,96,108,129,175,181,215,263,324,432,443,437,622,762,961,1191,1502,1848,1929,1889,1819,1665,1672,1553,1649,1827,2179,2440,2422,2174,2098,1895,1861,1832,1876,1949,2188,2471,2454,2364,2267,2021,1852,1844,1850,2075,2295,3077,2506,2414,2145,2027,1883,1790,1908,2019,2374,2532,2568,2324,2143,1971,1807,1859,1838,2004,2269,2426,2452,2188,2118,1915,1818,1755,1822,1925,2139,2381,2363,2220,2087,1794,1663,1718,2103,1847,2143,2179,2262,2088,1905,1797,1614,1685,1704,1879,1984,2234,2098,1933,1848,1741,1652,1616,1646,1800,1996,2134,2018,1684,1549,1451,1235,1103,1074,915,896,811,720,677,628,742,604,492,491,414,409,380,380,318,284,279,237,248,210,229,193,155,156,124,140,113,131,99,89,115,77,76]
[71,75,78,85,154,148,171,199,210,274,308,376,376,499,682,754,1020,1251,1741,2457,2481,2426,2238,2019,1723,1808,1810,1981,2355,2882,2680,2708,2428,2198,1879,1982,2021,2062,2435,2794,2834,2760,2649,2317,2075,1996,1975,2087,2375,2849,2912,2687,3111,2128,2081,2044,1978,2111,2469,2924,2946,2656,2429,2149,1881,1915,1957,2082,2555,2868,2701,2645,2372,2079,1868,1954,1975,1988,2372,2611,2667,2555,2489,2061,1886,1817,1887,1906,2307,2978,2531,2432,2247,1880,1825,1829,1900,2058,2314,2610,2486,2304,2112,1824,1726,1735,1677,1927,2360,2689,2412,2347,1822,1542,1358,1249,1096,1028,887,811,761,712,677,646,604,537,567,447,390,353,332,315,289,284,242,240,216,196,189,167,151,126,122,127,117,122,99,90,78,68]
[86,82,97,116,122,154,183,214,223,262,329,375,467,520,638,762,983,1581,2098,3171,3091,3209,2788,2177,1992,1966,2062,2150,2778,3292,3249,3185,2779,2460,2227,2218,2195,2332,2844,3265,3104,3085,3049,2434,2173,2280,2195,2345,2913,3310,3257,3241,2879,2490,2616,2119,2208,2352,2944,3324,3365,3040,2745,2410,2181,2151,2293,2393,2949,3384,3060,3072,2670,2257,2188,2013,2014,2228,2752,3147,2941,3001,2825,2196,1944,1981,2017,2195,2585,2949,2754,2787,3043,2012,1838,1866,1980,2181,2709,2911,2767,2660,2315,1956,1898,1783,1837,2279,2877,3164,2894,2636,2118,1714,1388,1292,1138,1032,897,885,843,719,694,611,596,542,493,448,390,496,318,318,307,274,260,216,202,203,177,153,177,128,134,105,103,122,86,88,79,72]
[75,96,98,110,114,163,202,212,243,283,332,379,484,550,644,803,933,1207,1806,2627,3668,3216,2836,2233,1969,1922,1904,2116,2643,3352,3387,3289,2985,2480,2210,2210,2093,2361,2906,3303,3409,3390,3053,2545,2386,2149,2223,2351,2920,3375,3497,3313,2981,2657,2370,2234,2253,2818,2960,3322,3390,3142,2747,2580,2248,2293,2295,2491,2899,3367,3315,3045,2895,2376,2153,2123,2127,2303,2782,3111,3196,3043,2777,2395,2108,2105,2007,2138,2608,2828,2991,2984,2517,2194,1956,2410,1910,2142,2691,2833,2972,2854,2519,2064,1932,1819,1938,2250,2836,3078,2941,2727,2288,1685,1519,1371,1191,1034,1019,881,807,769,689,627,588,544,544,449,424,377,358,346,403,261,273,204,205,203,167,188,147,147,140,123,110,105,105,93,85,87]
[76,93,92,100,139,190,171,213,228,298,340,398,472,565,688,748,924,1078,1418,1924,2277,2632,2489,2412,1746,1650,1755,1775,2046,2380,2752,2705,2509,2275,2148,2106,1977,1988,2309,2704,2904,2928,2654,2398,2146,2087,2064,2102,2384,2818,3005,2925,2664,2375,2255,2099,2066,2059,2369,2799,3467,2857,2535,2284,2146,2081,2084,2150,2551,2955,2825,2846,2583,2256,2164,2048,1970,2119,2282,2790,2869,2526,2405,2096,2122,2051,1924,1954,2142,2331,2608,2561,2247,2106,2022,1890,1880,2353,2212,2377,2594,2508,2223,2009,1964,1849,1831,1927,2342,2396,2530,2354,2108,1721,1518,1392,1272,1158,1017,921,879,789,720,661,659,596,537,451,428,380,378,370,303,270,302,289,201,196,185,174,156,142,127,113,111,111,87,100,83,86]
[108,100,128,148,173,178,223,242,300,374,398,473,579,714,813,953,1104,1295,1507,1827,1955,1854,1659,1948,1669,1667,1728,1778,2135,2301,2360,2147,2077,2144,1943,1919,2063,2104,2294,2524,2490,2358,2163,2162,2029,2012,1995,2132,2341,2579,2534,2325,2240,2199,2094,2054,2007,2248,2425,2423,2352,2759,2151,2171,2099,2071,1958,2215,2379,2393,2408,2255,2135,2087,1958,1924,1902,2047,2267,2381,2255,2131,2007,2054,1924,1909,1870,2033,2029,2273,2236,2119,1968,1895,1861,1791,1812,2360,2090,2154,2155,2040,1886,1846,1759,1710,1784,1928,2029,2068,1979,1755,1681,1551,1438,1288,1146,966,880,828,758,743,645,562,583,497,433,446,423,364,328,308,273,294,233,303,188,197,181,171,138,142,130,120,91,101,90,66,75,63]
[91,102,122,133,151,178,184,217,265,283,359,440,512,604,737,810,1031,1061,1117,1429,1689,1715,1701,1657,1803,2101,1835,1823,1929,2064,2094,2011,2019,2019,2083,2012,1993,2004,2109,2172,2409,2281,2087,2178,2153,2083,2159,2036,2110,2333,2451,2296,2101,2139,2298,2181,2211,2174,2236,2309,2395,2292,2591,2278,2176,2149,2153,2079,2202,2386,2348,2287,2121,2241,2166,2073,2074,2058,2140,2164,2315,2168,2036,2079,2175,2083,2090,2268,1968,2125,2176,2033,1915,2100,1981,2004,1956,2174,2017,2542,2180,1912,1929,1900,1994,1945,1890,1908,1890,2015,1963,1737,1691,1690,1517,1382,1249,1098,992,860,836,776,709,612,617,559,512,492,441,412,373,370,314,314,292,230,291,213,208,193,161,139,134,146,141,92,103,92,78,82]
[96,107,148,122,156,178,209,189,256,309,354,390,578,654,661,882,1011,1086,1168,1428,1646,1670,1575,1562,1804,1860,1836,1853,1881,1953,2142,2078,1989,1998,2106,2240,2052,2001,2061,2226,2448,2291,2125,2072,2116,2218,2110,2175,2043,2754,2518,2366,2222,2054,2195,2323,2311,2234,2187,2400,2418,2400,2222,2170,2263,2379,2255,2146,2202,2363,2322,2284,2102,2106,2258,2231,2157,2071,2070,2286,2194,2230,2123,2095,2220,2269,2529,2053,1971,2173,2338,2101,1934,2112,2060,2111,2020,1884,1993,2085,2154,2034,1948,1990,2065,2146,1974,1823,1925,2001,1967,1858,1693,1644,1716,1499,1275,1171,1093,976,894,831,726,841,641,574,528,504,497,446,424,353,347,313,307,252,234,206,230,194,170,180,177,150,147,101,97,118,75,83]
[98,108,110,127,163,155,180,229,240,318,365,435,473,579,700,857,1019,1099,1422,1505,1731,1747,1720,1529,1685,1887,1900,1889,1846,2065,2135,2122,2041,1976,1994,2213,2238,2062,2054,2161,2426,2225,2164,2050,2138,2243,2262,2173,2176,2253,2434,2422,2229,2109,2264,2845,2255,2237,2330,2470,2459,2513,2284,2087,2215,2426,2201,2248,2295,2483,2507,2480,2197,2067,2169,2278,2198,2192,2134,2368,2407,2315,2117,2069,2108,2190,2138,2050,2025,2240,2319,2248,1984,2437,2157,2080,2135,2021,2082,2171,2304,2173,2029,1968,2133,2145,2013,1930,1892,2128,2131,1987,1781,1608,1591,1603,1342,1182,1087,1030,929,852,734,710,676,620,562,561,499,460,551,357,300,336,315,263,259,242,227,185,170,170,168,137,134,115,98,99,76,84]
[100,122,122,139,151,171,209,237,267,345,354,415,473,533,684,899,1065,1135,1367,1477,1794,2301,1722,1749,1791,1874,1925,1981,2085,2247,2272,2281,2051,2017,2048,2093,2254,2133,2164,2376,2385,2440,2169,2057,2060,2257,2239,2167,2370,2465,2622,2466,2346,2207,2318,2325,2376,2323,2439,2977,2575,2463,2319,2203,2221,2331,2332,2356,2329,2498,2528,2424,2269,2140,2205,2167,2218,2152,2288,2460,2438,2242,2165,2071,2163,2077,2151,2119,2203,2391,2526,2295,2159,1969,2172,2169,2607,2193,2271,2313,2399,2210,2118,2131,2040,2156,2128,2038,2116,2607,2258,1949,1797,1702,1630,1509,1378,1250,1142,949,890,837,761,669,676,628,555,503,432,433,402,378,336,330,273,262,258,199,194,225,172,169,142,140,145,103,120,91,101,88]
[122,135,140,149,157,171,194,242,311,333,380,414,550,626,793,915,1155,1365,1611,1957,2235,2245,2186,2017,1800,1886,1893,1851,2288,2492,2483,2385,2237,2127,2060,2107,2072,2652,2471,2757,2671,2602,2371,2102,2053,2182,2241,2292,2447,2775,2955,2723,2505,2224,2210,2364,2334,2334,2456,2842,2898,2811,2500,2295,2228,2179,2229,2370,2569,2892,2995,2768,2488,2341,2211,2771,2209,2167,2453,2707,2766,2675,2411,2220,2141,2142,2151,2218,2459,2796,2691,2519,2453,2135,2172,2164,2212,2167,2510,2734,2694,2598,2378,2217,2048,2066,2031,2026,2334,2548,2561,2282,2257,1754,1670,1429,1418,1265,1108,987,938,846,789,738,724,627,560,547,493,483,426,382,346,321,316,271,288,210,216,194,175,180,140,159,147,112,108,114,85,105]
[86,117,107,157,184,172,217,251,265,337,385,448,519,653,725,945,1158,1394,1940,2661,2891,2827,2690,2337,1841,2044,1929,2057,2447,3025,2849,2701,2620,2283,2187,2155,2234,2240,2508,3063,3007,3578,2631,2225,2231,2221,2178,2373,2750,3198,3153,2976,2884,2422,2347,2243,2311,2277,2900,3296,3289,3191,2967,2491,2322,2253,2363,2327,2833,3245,3262,3006,2782,2482,2285,2187,2693,2238,3274,3326,3004,2942,2720,2285,2145,2142,2212,2282,2771,3097,3068,2782,2478,2250,2139,2100,2209,2371,2943,3055,2952,2810,2510,2178,2125,2042,2048,2299,2766,2914,2750,2535,2212,1792,1712,1514,1658,1191,1141,1059,941,896,749,769,667,645,618,500,501,490,406,398,356,281,284,249,244,215,202,220,173,163,138,147,122,109,99,116,88,90]
[110,111,94,129,181,157,216,286,297,346,390,446,544,662,781,889,1061,1360,2004,2979,3302,3367,3938,2631,2225,2128,2105,2179,2682,3252,3346,3275,3109,2493,2290,2217,2297,2465,2875,3515,3567,3349,2922,2568,2288,2289,2203,2344,2870,3351,3573,3601,3166,2829,2367,2348,2422,2443,3080,4230,3562,3418,3132,2698,2434,2428,2429,2587,3234,3684,3529,3171,2900,2533,2387,2377,2237,2359,2931,3598,3650,3390,3020,2528,2294,2206,2274,2348,2817,3437,3492,3226,3005,2502,2344,2258,2258,2984,3222,3554,3422,3134,3021,2493,2220,2173,2133,2387,2980,3414,3154,2948,2589,2089,1792,1615,1368,1271,1164,1126,977,914,814,727,720,658,552,545,492,450,445,402,388,333,348,275,256,212,222,209,159,155,181,143,126,108,121,107,96,63]
[136,110,156,145,165,222,214,273,287,361,411,459,540,643,770,907,1102,1324,1995,2973,3056,3108,2941,2308,2040,1975,2022,2248,2495,3191,3182,3158,2749,2402,2282,2106,2074,2646,2698,3315,3203,3026,2832,2266,2149,2149,2092,2243,2771,3245,3420,3299,2989,2601,2332,2347,2321,2617,2948,3354,3369,3158,2932,2595,2337,2300,2244,2566,3045,3515,3459,3107,2847,2505,2338,2772,2170,2611,3131,3472,3351,3131,2858,2245,2184,2232,2181,2437,2916,3251,3241,3074,2589,2356,2173,2316,2132,2348,3117,3474,3312,3147,2846,2446,2243,2138,2109,2286,2927,3338,3117,2853,3112,1928,1785,1535,1351,1240,1203,1050,984,910,875,775,696,698,588,523,466,421,414,381,328,325,295,253,235,231,173,184,164,168,146,142,126,119,105,93,71,90]
[118,118,143,155,170,184,252,246,275,363,365,445,677,697,783,884,1077,1242,1704,2248,2603,2644,2358,2032,1933,1864,1840,1912,2198,2516,2677,2559,2542,2300,2151,2067,2034,2097,2175,2496,2695,2760,2461,2167,2011,1981,1984,2060,2222,2610,3372,2902,2585,2374,2223,2207,2107,2185,2505,2857,2929,2935,2664,2381,2283,2225,2241,2441,2625,3452,3008,2753,2551,2285,2135,2157,2148,2295,2640,2799,2980,2771,2470,2304,2075,1963,2086,2153,3027,2600,2894,2550,2362,2134,2064,2080,2129,2220,2418,2659,2945,2804,2415,2191,1921,1889,1850,1997,2361,2741,2794,2618,2178,1864,1701,1483,1397,1215,1159,990,1006,898,861,768,676,740,534,528,476,440,402,373,329,313,284,273,242,225,212,150,170,162,154,121,134,111,100,89,102,93]
[126,132,156,155,187,203,261,261,301,336,414,495,621,675,831,893,964,1112,1585,1711,1956,2008,1906,1774,1817,1799,1774,1835,1987,2241,2274,2363,2160,2167,2082,1940,1913,2057,2160,2403,2503,2392,2218,2125,2269,2046,2003,2140,2265,2433,2601,2441,2259,2142,2161,2159,2529,2122,2311,2513,2489,2527,2377,2293,2278,2155,2235,2288,2357,2534,2554,2396,2307,2234,2174,2115,2158,2051,2229,2531,2499,2377,2260,2232,2128,1957,2032,2096,2247,2410,2506,2406,2269,2161,2547,2052,2077,2048,2373,2456,2620,2437,2221,2115,2074,1989,1861,2085,2265,2443,2371,2139,1948,1804,1719,1553,1485,1347,1183,1070,1012,874,849,723,690,645,591,516,493,461,452,449,345,330,311,291,228,218,197,186,199,142,153,140,111,116,116,78,93,81]
[117,132,141,160,193,216,247,261,311,376,419,500,551,641,754,845,1023,1082,1145,1376,1582,1780,1716,1963,1851,1899,1864,1930,1933,1995,2030,2070,2173,2001,2117,2017,2090,2074,2163,2219,2237,2232,2173,2091,2122,2184,2143,2164,2251,2305,2427,2391,2224,2219,2192,2193,2242,2271,2289,2380,2996,2341,2337,2228,2351,2255,2206,2292,2302,2346,2527,2425,2294,2301,2215,2137,2218,2197,2270,2383,2432,2374,2215,2205,2217,2213,2263,2236,2132,2274,2333,2308,2251,2209,2240,2145,2216,2641,2101,2266,2270,2370,2143,2174,2079,2097,2112,2035,1966,2157,2174,2052,1811,1768,1765,1622,1475,1348,1192,1102,981,962,811,752,740,691,634,577,520,501,426,431,363,328,322,320,258,240,245,181,188,177,160,148,126,121,89,99,93,77]
[128,109,149,157,164,197,257,265,319,341,406,491,547,686,766,871,1108,1127,1135,1372,1574,1742,1629,1504,1668,1823,1920,1865,1944,1991,2054,2507,1943,1981,2072,2201,2086,2069,2075,2165,2387,2245,2191,2038,2133,2307,2186,2234,2207,2300,2441,2344,2213,2141,2289,2337,2183,2190,2320,2435,2437,2395,2220,2275,2275,2343,2389,2234,2667,2464,2447,2346,2255,2196,2165,2274,2278,2184,2204,2336,2384,2342,2214,2214,2195,2323,2323,2127,2229,2273,2476,2315,2216,2075,2258,2202,2334,2004,2159,2288,2289,2215,2122,2116,2263,2632,1991,2021,2080,2120,2220,1960,1869,1764,1775,1606,1483,1321,1188,1084,993,962,841,788,695,657,631,584,520,472,447,404,393,342,330,293,251,268,220,217,194,175,124,174,118,111,121,110,100,73]
[129,119,145,146,196,213,230,275,283,333,391,455,581,653,766,959,1088,1094,1123,1436,1530,1742,1585,1401,1606,1838,1847,1890,1868,1997,2104,2143,2095,1925,2098,2261,2188,2125,2185,2268,2381,2387,2184,2043,2095,2620,2283,2175,2180,2279,2846,2326,2300,2084,2348,2400,2438,2250,2230,2481,2509,2555,2045,2112,2246,2419,2305,2289,2201,2415,2463,2428,2277,2170,2273,2439,2297,2167,2176,2372,2356,2342,2180,2153,2273,2310,2262,2181,2704,2357,2409,2396,2162,2165,2212,2341,2280,2132,2227,2276,2433,2215,2186,2098,2257,2162,2157,2024,1986,2128,2233,2040,1852,1690,1771,1732,1534,1425,1255,1184,1036,924,851,800,735,872,625,578,566,524,396,406,343,362,318,353,289,230,214,209,201,172,177,137,146,132,128,100,92,87]
[119,137,162,163,154,210,224,270,311,356,431,470,584,656,805,965,1056,1154,1628,1555,1743,1726,1659,1557,1729,1882,1888,1921,2036,2343,2334,2138,2006,2025,2097,2119,2152,2117,2386,2257,2484,2280,2082,2195,2147,2192,2258,2257,2248,2480,2558,2472,2226,2252,2213,2809,2342,2257,2342,2485,2584,2466,2354,2150,2223,2375,2403,2359,2373,2556,2707,2470,2264,2252,2285,2414,2288,2227,2300,2436,2709,2396,2293,2162,2198,2300,2304,2224,2307,2460,2559,2557,2361,2714,2254,2398,2337,2322,2452,2558,2568,2308,2275,2168,2188,2240,2243,2153,2187,2271,2312,2064,1928,1732,1780,1723,1574,1377,1244,1182,1042,967,919,827,771,664,677,567,550,496,534,407,379,333,341,325,273,245,226,192,217,188,156,156,118,112,110,109,100,86]
[131,137,146,167,186,200,255,275,332,361,436,465,569,686,788,956,1143,1306,1547,1925,2079,2592,1913,1735,1626,1723,1895,1918,2282,2523,2647,2502,2362,2122,2098,2150,2085,2211,2367,2563,2825,2726,2380,2237,2162,2146,2281,2213,2414,2606,2903,2669,2527,2266,2199,2177,2257,2320,3102,2756,2746,2675,2484,2319,2256,2296,2330,2411,2582,2859,2993,2706,2530,2283,2322,2224,2167,2151,2339,2637,2818,2625,2534,2212,2168,2197,2198,2326,2458,2639,2843,2622,2504,2254,2202,2724,2288,2345,2543,2754,2798,2612,2411,2250,2103,2080,2178,2149,2283,2628,2450,2162,2045,1795,1797,1697,1515,1385,1262,1138,1049,968,838,832,758,684,678,559,548,435,472,432,456,411,319,291,268,253,213,222,187,172,184,139,141,123,115,93,108,90]
[127,167,180,222,227,233,323,348,410,504,683,647,734,886,1120,1288,1668,2246,2653,2763,2642,2223,1831,1787,1961,2124,2236,2878,3094,3362,2727,2502,2243,2082,2176,2236,2445,2760,3133,3051,2779,3007,2272,2177,2307,2322,2671,3090,3205,3018,2841,2436,2315,2211,2356,2366,2706,3052,3155,3014,2732,2453,2374,2328,2317,2460,2720,3077,3323,2961,2836,2639,2315,2201,2330,2312,2496,3358,3145,2887,2741,3039,2300,2301,2335,2343,2743,3061,3028,3038,2799,2530,2355,2345,2379,2351,2728,3177,3109,2792,2574,2377,2139,2184,2252,2328,2683,3010,2875,2660,2179,2048,1835,1697,1599,1437,1259,1230,1283,958,969,860,744,722,669,598,528,504,424,417,377,360,322,300,247,262,254,221,190,173,169,131,136,146,116,113,107,84,96,66]
[114,138,147,186,215,199,224,298,310,405,561,522,631,716,803,950,1224,1483,2281,2907,3100,3317,2907,2342,2050,2074,2123,2294,2943,3506,3631,3370,3014,2687,2369,2286,2337,2406,2920,3561,3610,3276,3042,2652,2451,2316,2306,3042,3127,3641,3596,3417,3111,2653,2436,2442,2409,2547,3107,3556,3539,3406,3014,2561,2314,2349,2466,2622,3100,3650,3624,3168,2881,2657,2449,2416,2408,2566,3013,3359,3447,3116,2913,2568,2469,2903,2350,2580,3099,3456,3385,3390,3008,2562,2355,2409,2426,2635,3245,3479,3361,3105,2737,2322,2312,2133,2277,2529,3159,3393,3367,2858,2453,2015,1780,1708,1608,1463,1293,1174,1124,1017,1123,874,764,717,612,625,559,521,447,413,374,347,327,304,252,202,216,206,182,179,151,150,146,140,140,92,114,80]
[111,142,145,179,192,202,235,289,330,378,440,653,619,704,803,987,1083,1373,2095,2720,2973,3006,2744,2077,1993,1980,1984,2233,2765,3290,3312,3167,3042,2477,2295,2295,2157,2358,2738,3155,3484,3331,2962,2455,2228,2206,2219,2424,2831,4046,3318,3219,2955,2576,2575,2249,2235,2590,3040,3321,3500,3064,2765,2514,2397,2483,2352,2551,3050,3467,3256,3023,2747,2449,2311,2288,2368,2477,2903,3273,3217,3064,2623,2430,2307,2286,2798,2631,2941,3369,3241,3114,2797,2500,2318,2340,2313,2597,3129,3322,3234,2941,2688,2471,2249,2183,2276,2409,2840,3365,3092,2805,2396,2006,1810,1646,1572,1416,1271,1196,1053,1015,938,872,915,644,666,575,598,456,427,428,380,356,287,301,266,250,217,171,187,147,152,149,115,122,126,105,97,72]
[126,133,141,210,189,246,248,273,339,341,436,468,568,730,732,1052,1016,1183,1465,1991,2448,2492,2386,1908,1770,1718,1780,1912,2159,2507,2792,2799,2552,2263,2217,2133,2090,2129,2740,2554,2898,2861,2659,2374,2200,2167,2143,2291,2433,2767,2937,2880,2487,2660,2250,2226,2205,2322,2581,2800,2864,2879,2533,2478,2170,2108,2180,2315,2512,2783,2899,2838,2613,2436,2316,2676,2217,2374,2418,2561,2846,2659,2459,2310,2217,2130,2206,2348,2593,2786,2855,2734,2528,2274,2285,2148,2097,2385,2343,2789,2895,2875,2509,2282,2090,2014,1993,2073,2313,2658,2765,2573,2302,1950,2082,1546,1557,1294,1277,1196,1060,927,939,884,768,722,627,601,554,515,466,423,360,359,337,292,262,262,211,216,163,177,158,131,135,129,104,97,80,103]
[128,143,182,190,197,212,239,264,337,392,472,508,630,665,790,997,971,1163,1231,1486,1857,1938,1887,1672,1636,1754,1680,1871,1976,2197,2342,2426,2266,2067,2100,2105,2440,2139,2190,2360,2485,2327,2396,2306,2280,2170,2179,2228,2364,2470,2559,2510,2403,2271,2212,2148,2098,2261,2370,2512,2480,2567,2394,2274,2272,2190,2193,2224,2234,2560,2387,2418,2474,2319,2723,2150,2325,2351,2303,2449,2398,2436,2343,2230,2097,2260,2239,2254,2349,2567,2614,2466,2423,2344,2259,2172,2213,2256,2237,2429,2517,2333,2302,2273,2095,2058,2037,2000,2089,2157,2271,2576,1945,1892,1813,1713,1584,1507,1244,1063,1094,966,935,839,811,722,656,588,529,488,459,430,342,398,355,311,293,263,238,224,223,179,172,134,149,144,115,104,104,104]
[125,122,144,139,189,185,254,272,343,393,404,536,559,715,915,901,1053,1109,1187,1339,1633,1682,1602,1572,1985,1781,1763,1802,1982,1941,2019,2057,1935,1982,2103,2138,2170,2181,2161,2087,2294,2173,2172,2378,2215,2239,2254,2229,2314,2330,2426,2386,2220,2225,2238,2201,2226,2354,2377,2894,2415,2424,2288,2203,2236,2199,2282,2203,2293,2310,2453,2278,2193,2190,2246,2198,2273,2223,2342,2351,2302,2339,2151,2305,2282,2116,2159,2247,2262,2401,2486,2321,2239,2317,2230,2230,2278,2644,2175,2338,2441,2224,2190,2083,2641,2177,2111,2024,2038,2182,2137,1953,1827,1779,1738,1586,1420,1379,1253,1157,1047,914,856,793,726,695,666,584,549,492,466,417,366,330,345,299,272,259,256,214,185,173,190,178,141,131,114,112,87,94]
[109,155,164,176,222,219,244,236,310,401,450,485,560,630,743,949,1023,1109,1201,1354,1969,1709,1578,1535,1742,1912,1905,1870,1930,2022,2022,2060,1856,1948,1986,2137,2158,2169,2158,2206,2275,2331,2154,2174,2193,2392,2363,2225,2379,2340,2566,2345,2261,2130,2226,2437,2358,2294,2343,2939,2442,2390,2291,2207,2263,2426,2412,2344,2345,2460,2440,2411,2235,2123,2325,2437,2358,2243,2315,2345,2468,2346,2244,2218,2215,2575,2249,2192,2248,2345,2439,2414,2210,2175,2302,2399,2278,2165,2209,2326,2370,2238,2238,2194,2246,2788,2169,2016,2038,2112,2172,2045,1962,1732,1786,1649,1460,1370,1242,1132,1053,919,880,832,731,777,630,611,576,534,469,463,356,384,401,304,291,272,247,240,206,214,186,152,140,114,119,93,92,72]
[123,173,156,156,186,244,266,319,335,388,431,547,609,677,834,987,1120,1166,1237,1491,1717,1715,1600,1526,1696,1905,1978,1931,1958,2074,2227,2155,2027,1997,2047,2150,2236,2174,2667,2297,2338,2366,2172,2180,2153,2495,2373,2295,2597,2521,2580,2517,2307,2172,2358,2486,2431,2373,2404,2599,2610,2480,2361,2266,2335,2553,2380,2361,2295,2523,2641,2450,2324,2290,2440,2972,2327,2275,2257,2516,2510,2354,2226,2346,2322,2429,2337,2298,2382,2393,2539,2365,2339,2192,2373,2476,2403,2149,2239,2466,2446,2419,2284,2194,2359,2380,2254,2169,2182,2283,2210,2074,1987,2216,1842,1712,1574,1413,1364,1138,1034,1016,916,840,806,733,656,597,552,542,497,416,418,384,367,289,304,271,231,235,187,199,157,156,138,141,124,103,96,100]
[136,151,177,190,178,219,267,265,307,381,449,530,624,735,839,1018,1155,1154,1572,1576,1661,1714,1655,1624,1683,1788,1918,1901,2081,2229,2331,2209,1979,2136,2071,2225,2344,2184,2306,2351,2526,2307,2327,2194,2276,2310,2419,2425,2473,2618,2672,2609,2473,2285,2352,2407,2917,2438,2578,2685,2651,2598,2455,2330,2476,2438,2497,2415,2462,2574,2767,2525,2428,2317,2342,2427,2363,2330,2368,2613,2641,2430,2369,2276,2352,2349,2418,2415,2360,2621,2721,2365,2394,2282,2943,2386,2265,2227,2349,2457,2458,2409,2213,2289,2317,2334,2173,2173,2269,2371,2358,2114,2031,1848,1814,1793,1756,1432,1340,1160,1117,1038,943,776,759,747,720,595,561,517,463,431,374,378,317,323,288,250,237,264,205,189,191,144,144,133,116,121,118,95]
[132,150,172,153,202,223,269,289,331,385,449,560,665,699,856,993,1135,1326,1546,1933,2146,2169,2064,1780,1768,1801,1864,2043,2246,2624,2617,3017,2331,2142,2057,2178,2296,2315,2389,2703,2704,2640,2451,2305,2197,2319,2312,2398,2624,2828,2927,2791,2524,2384,2352,2386,2339,2407,2656,2970,2970,2761,2586,2439,2520,2405,2502,2386,2700,2877,3562,2792,2574,2434,2406,2294,2361,2426,2588,2825,2920,2642,2538,2403,2313,2345,2431,2343,2532,2871,2825,2694,2647,2355,2388,2358,2289,2364,2497,2797,2783,2606,2548,2321,2226,2252,2255,2544,2469,2600,2544,2298,2188,1940,1838,1743,1596,1520,1298,1292,1165,1014,919,899,828,762,693,661,615,527,485,456,409,383,367,303,311,233,245,209,210,208,176,188,165,141,129,107,98,72]
[134,157,155,176,207,260,269,305,338,398,458,528,611,743,861,1035,1191,1457,1843,2514,2876,2696,2571,2337,1900,1922,1977,2053,2464,3042,3107,3089,2731,2568,2352,2231,2239,2419,2532,3110,3879,3003,2739,2468,2391,2250,2376,2442,2860,3313,3279,2884,2925,2492,2446,2419,2409,2524,2822,3167,3242,2957,2833,2564,2408,2419,2464,2526,2931,3197,3087,2994,2744,2574,2343,2261,2336,2444,3375,3009,2977,2858,2740,2479,2319,2276,2322,2468,2863,3113,3178,2980,2811,2495,2462,2405,2448,2450,2678,3305,3226,3084,2771,2589,2251,2328,2309,2316,2687,3113,2971,2733,2419,2131,1902,2148,1549,1434,1329,1182,1076,1016,952,914,801,727,746,597,566,477,431,445,405,375,346,305,259,242,211,225,187,182,160,155,144,129,99,108,85,84]
[138,175,153,178,197,250,298,297,364,382,466,527,643,790,887,1014,1289,1684,2395,3225,3304,3828,2784,2314,2052,2088,2068,2319,2993,3433,3408,3250,2911,2517,2349,2307,2459,2529,3074,3498,3558,3400,3000,2728,2521,2481,2522,2752,3477,3825,3625,3547,3225,2802,2664,2673,2586,2764,3298,4427,3719,3538,3188,2850,2644,2547,2582,2779,3362,3700,3568,3286,3017,2674,2532,2405,2433,2673,3300,3486,3440,3057,2915,2579,2500,2505,2526,2722,3307,3599,3473,3238,2947,2664,2625,2582,3047,2897,3381,3640,3537,3262,2952,2670,2450,2410,2459,2711,3348,3562,3390,3090,2620,2162,2005,1692,1641,1532,1397,1268,1175,1090,924,865,810,761,673,596,578,471,464,430,389,421,323,287,271,215,221,207,169,173,157,130,135,128,126,91,111,101]
[167,167,175,191,222,247,305,316,352,408,479,575,719,774,917,1042,1205,1609,2403,2937,3078,3119,2588,2145,1963,2027,2098,2377,2825,3127,3160,3010,2680,2402,2397,2308,2318,3105,3112,3282,3299,3181,2916,2546,2506,2361,2474,2739,3506,3745,3519,3269,2999,2612,2560,2522,2517,2927,3309,3653,3475,3279,2915,2657,2598,2580,2518,2861,3140,3592,3380,3162,2882,2553,2954,2640,2540,2579,3182,3328,3270,2981,2782,2560,2404,2477,2535,2917,3274,3580,3540,3174,2887,2453,2491,2538,2544,2878,3176,3421,3462,3303,2845,2541,2452,2384,2434,2769,3210,3345,3130,3655,2378,1877,1871,1723,1580,1408,1253,1216,1074,993,967,861,788,714,635,581,531,534,475,466,394,349,335,307,266,235,236,209,184,158,150,133,135,124,136,109,114,98]
[145,147,192,197,205,233,286,295,390,416,469,586,677,745,877,977,1085,1313,1626,2014,2493,2562,2385,1913,1887,1892,1904,1977,2290,2568,2788,2790,2564,2325,2738,2163,2178,2303,2621,2830,2979,2799,2637,2373,2316,2314,2257,2539,2826,3235,3291,3045,2821,2443,2484,2411,2449,2613,3076,3301,3218,3008,2768,2464,2437,2401,2559,2623,2940,3177,3079,2912,3188,2519,2348,2299,2308,2520,2928,2955,2930,2870,2601,2414,2380,2289,2296,2509,2755,2954,2929,2901,2581,2391,2345,2337,2329,2412,2586,2840,3005,2849,2665,2392,2249,2189,2164,2222,2580,3324,2845,2524,2267,2003,1885,1775,1603,1432,1399,1174,1070,996,976,906,765,745,633,633,538,530,441,453,395,334,334,319,291,262,236,239,207,160,177,145,146,118,155,101,105,88]
[161,149,182,163,201,244,275,308,340,444,521,599,700,820,906,997,983,1237,1428,1715,2036,2050,1819,1771,1742,1717,1842,1970,2158,2312,2432,2288,2229,2170,2207,2140,2107,2700,2435,2462,2588,2402,2416,2324,2309,2260,2172,2328,2502,2665,2707,2622,2451,2432,2328,2299,2353,2447,2505,2719,2727,2699,2533,2473,2375,2350,2347,2414,2502,2633,2780,2639,2467,2425,2709,2184,2418,2321,2525,2713,2641,2514,2374,2436,2298,2241,2344,2375,2606,2705,2658,2548,2400,2376,2246,2236,2239,2404,2524,2653,2622,2600,2416,2269,2148,2241,2169,2185,2261,2397,2334,2256,2453,2048,1906,1752,1723,1506,1332,1180,1036,1029,977,849,823,735,659,580,564,524,495,393,354,364,310,300,255,247,254,194,211,196,156,142,154,130,119,112,115,102]
[133,150,166,237,206,242,284,312,385,413,468,536,650,787,917,979,1120,1151,1292,1441,1787,1840,1638,1666,1767,1868,1852,1909,2080,2096,2100,2072,2040,2148,2268,2188,2237,2297,2262,2478,2906,2390,2233,2281,2327,2297,2355,2377,2473,2570,2665,2396,2413,2440,2382,2378,2349,2405,2532,2655,2565,2524,2392,2417,2421,2451,2350,2386,2483,2505,2559,2446,2347,2423,2432,2447,2363,2834,2340,2600,2531,2317,2384,2344,2326,2407,2337,2399,2507,2460,2580,2405,2375,2429,2414,2428,2374,2360,2399,2417,2620,2345,2447,2161,2345,2267,2242,2234,2253,2334,2231,2122,2052,1962,1967,2055,1583,1482,1410,1254,1112,1003,925,802,763,743,698,673,518,521,505,457,418,343,352,293,275,266,248,221,204,158,154,134,145,130,127,104,93,82]
[121,144,198,185,219,250,299,297,370,439,513,586,690,747,910,1030,1169,1135,1301,1498,1663,1752,1668,1628,1803,1977,1937,1953,1959,2154,2162,2177,2037,2042,2229,2270,2326,2157,2297,2384,2350,2309,2204,2657,2301,2372,2484,2287,2466,2470,2554,2459,2326,2430,2514,2477,2340,2503,2457,2575,2690,2480,2440,2392,2549,2506,2382,2464,2417,2590,2650,2491,2311,2465,2397,2593,2274,2375,2788,2352,2897,2334,2320,2401,2395,2423,2437,2547,2395,2622,2550,2447,2357,2518,2417,2329,2292,2339,2441,2575,2517,2399,2326,2362,2339,2370,2292,2221,2257,2318,2244,2089,1905,1853,1845,1716,1609,1723,1275,1204,1062,1004,930,806,798,706,717,602,673,509,482,427,412,339,334,287,285,271,238,202,201,189,156,165,139,132,104,98,101,93]
[163,153,154,212,195,225,260,343,365,409,524,564,695,737,990,1055,1183,1260,1335,1613,1728,1797,1567,1611,1736,2058,2036,1936,1983,2081,2139,2162,2020,2039,2195,2417,2387,2196,2303,2391,2488,2420,2153,2197,2859,2399,2328,2289,2471,2486,2428,2502,2310,2301,2441,2523,2477,2351,2524,2591,2713,2467,2425,2305,2526,2669,2519,2330,2439,2512,2654,2415,2305,2420,2368,2512,2587,2329,2406,2556,2501,2531,2766,2346,2566,2513,2486,2437,2547,2572,2669,2581,2350,2447,2548,2523,2532,2369,2405,2571,2633,2437,2306,2367,2502,2491,2356,2232,2326,2330,2321,2082,1887,1919,1939,1672,1615,1427,1259,1440,1111,969,879,837,792,695,678,618,566,478,483,450,412,344,345,312,269,282,240,213,199,210,172,161,144,123,106,111,105,91]
[138,159,183,156,208,219,259,307,348,416,603,602,695,849,938,1139,1214,1297,1449,1723,1836,1740,1639,1669,1838,1962,2035,1916,2146,2309,2259,2232,2101,2091,2225,2270,2353,2328,2334,2436,2627,2418,2210,2292,2279,2440,2442,2450,2952,2750,2638,2509,2517,2375,2427,2435,2490,2575,2611,2727,2725,2560,2417,2500,2523,2764,2553,2541,2561,2838,2690,2597,2395,2462,2489,2570,2502,2379,2586,2662,2597,2497,2383,2469,2399,2594,2418,2508,2637,2761,2783,2630,2542,2457,3134,2663,2466,2522,2712,2768,2660,2633,2522,2417,2499,2516,2372,2396,2512,2624,2553,2245,2087,2022,1923,1935,1677,1560,1383,1263,1194,992,927,857,833,761,683,605,588,556,482,422,468,356,319,308,258,261,238,199,211,192,169,167,128,135,132,106,114,93]
[134,171,194,194,189,244,301,292,414,401,514,506,693,763,852,1027,1198,1375,1721,1927,2113,2123,2037,2172,1837,1813,1959,1914,2244,2570,2621,2529,2357,2225,2222,2172,2375,2291,2514,2738,2742,2576,2460,2281,2240,2340,2388,2485,2550,2953,2873,2828,2515,2405,2431,2456,2297,2536,2594,2995,3629,2860,2611,2491,2419,2501,2700,2529,2559,2803,3150,2704,3271,2614,2983,2572,2523,2641,2671,2706,2708,3240,2440,3174,2473,2744,2479,2645,2649,2668,2833,2741,3196,2556,3073,2522,2699,3158,2815,2665,3488,2510,3520,2421,2958,2476,2494,2560,2676,2536,2970,2902,2251,2563,1883,2156,1505,1891,1345,1470,1080,1205,914,1031,838,910,688,597,592,551,517,438,408,359,349,309,310,259,246,227,202,190,177,150,148,152,106,111,99,67]
[164,172,197,222,214,208,261,306,390,427,483,551,636,864,850,1143,1289,1457,2146,2642,2979,2853,2679,2327,1927,1923,1949,2074,2711,3025,3148,3157,2739,2775,2315,2409,2274,3035,2932,3014,3506,2889,3065,2438,2513,2512,2368,2844,3117,3181,3540,2876,3241,2614,2572,2491,2535,2699,2903,3464,3236,3335,2836,2802,2494,2560,2493,2796,2943,3419,3256,3186,2855,2749,3013,2551,2591,2627,3069,3514,3397,3264,3067,2605,2433,2581,2490,2687,3158,3525,3345,3219,3032,2730,2576,2604,2689,2856,3233,3409,3335,3323,2969,2748,2532,2471,2488,2680,2920,3423,3109,3392,2518,2282,2079,2063,1722,1546,1448,1294,1239,1066,1012,927,872,771,754,662,613,559,498,442,391,370,364,325,289,274,226,222,228,170,185,168,136,129,122,97,101,119]
[153,174,222,230,231,267,295,353,382,450,536,627,685,793,952,1114,1303,1823,2722,3414,3337,3494,3280,2223,2019,2028,1950,2395,3171,3617,3621,3555,3154,2866,2417,2503,2496,2600,3109,3564,4299,3484,3162,2729,2474,2538,2488,2855,3603,4007,3779,3418,3285,2749,2522,2516,2572,2785,3427,3712,3730,3479,3099,2850,2578,2644,2684,2816,3391,3719,3503,3379,3137,2823,2549,2519,2607,3406,3499,3770,3628,3532,2950,2744,2538,2639,2706,2883,3502,3759,3707,3474,3139,2788,2665,2601,2791,3005,3404,3835,3598,3461,3208,2852,2671,2687,2681,2983,3729,3831,3430,3102,2776,2340,2567,1923,1797,1599,1411,1272,1253,1115,1000,927,867,712,727,640,594,549,502,396,418,416,355,293,284,247,233,223,169,178,164,130,130,113,127,103,99,86]
[137,179,181,207,212,292,284,341,395,469,501,670,723,737,907,1024,1346,1622,2509,3234,3223,3344,2957,2225,2021,2008,1942,2327,2956,3322,3411,3426,3078,2651,2483,2474,2377,2489,2995,3352,3470,3387,3717,2748,2467,2552,2511,2791,3480,3856,3683,3461,3143,2734,2661,2543,2654,2688,3315,3745,3692,3502,3071,2830,2675,2587,2540,2864,3311,3524,3633,3431,3205,2871,2612,2617,2535,2725,3177,3666,4373,3252,3091,2780,2599,2554,2584,2806,3351,3624,3510,3475,3114,2872,2681,2698,2764,2890,3257,3589,3545,3418,3163,2784,2629,2528,2460,2874,3352,3756,3416,2992,2687,2241,2121,1946,1719,1932,1494,1335,1193,1082,952,911,819,745,684,602,622,518,477,490,390,370,327,286,285,238,253,208,208,199,180,149,125,129,125,97,116,84]
[145,163,177,197,214,259,284,310,429,476,477,586,684,856,899,1015,1153,1435,1839,2266,2698,2650,2404,1990,1937,1897,1924,1930,2346,2528,3045,2905,2655,2385,2379,2220,2221,2348,2557,2691,2984,3083,2805,2556,2431,2306,2803,2659,2901,3281,3310,3098,2823,2605,2481,2489,2554,2684,2845,3185,3233,2955,2889,2646,2549,2521,2500,2510,2809,3028,3168,3188,2692,2695,2543,2519,2481,2506,2756,2976,3118,3150,2797,3066,2490,2468,2435,2584,2767,3053,3169,3054,2848,2624,2579,2581,2614,2584,2805,3009,3138,3205,2768,2558,2445,2466,2347,2555,2960,3087,2916,2696,2424,2148,2060,1865,1700,1525,1463,1332,1384,1059,995,913,786,748,652,586,562,527,495,461,419,370,342,332,304,271,260,217,220,188,157,142,136,142,133,98,99,89]
[128,140,186,193,190,226,271,310,390,423,477,675,734,835,922,1059,1166,1339,1457,1802,2160,2021,1943,1784,1791,1869,1910,1964,2307,2324,2568,2512,2157,2274,2184,2160,2261,2251,2367,2540,2546,2695,2346,2409,2371,2331,2330,2445,3039,2738,2738,2711,2537,2468,2457,2407,2428,2454,2609,2650,2769,2719,2586,2468,2508,2396,2350,2494,2575,2663,2861,2773,2639,2592,2487,2403,2463,2451,2505,2823,2755,2728,2596,2506,2457,2961,2456,2605,2601,2773,2828,2724,2597,2561,2604,2402,2400,2513,2643,2818,2916,2747,2509,2543,2400,2354,2314,2335,2394,2578,2453,2461,2134,2093,1962,1823,1715,1718,1463,1276,1127,1094,976,1136,819,767,677,620,597,559,525,462,379,339,371,308,322,248,295,206,256,171,180,137,167,108,126,113,106,102]
[150,149,174,184,213,264,305,307,379,420,484,586,699,757,1035,1089,1244,1214,1365,1475,1767,1875,1680,1846,1888,1957,1972,1998,2083,2133,2273,2199,2027,2097,2163,2132,2281,2282,2357,2401,2443,2340,2270,2325,2371,2441,2467,2428,2550,2520,2663,3069,2467,2499,2394,2545,2493,2498,2527,2690,2713,2612,2442,2463,2454,2530,2527,2505,2579,2552,2603,2570,2519,2483,2578,2525,2481,2539,2542,2550,2623,2591,2558,2514,2619,2591,2481,2570,3051,2712,2737,2493,2488,2596,2515,2481,2495,2492,2552,2732,2711,2653,2507,2635,2486,2443,2435,2354,2384,2540,2339,2328,2121,2068,1997,1842,1700,1594,1485,1252,1219,1040,1025,897,773,807,852,672,588,559,495,459,423,387,398,308,311,282,282,261,194,172,181,146,153,138,121,112,91,94]
[152,171,199,193,209,235,253,293,359,406,457,538,638,752,838,1046,1200,1218,1596,1544,1790,1882,1759,1694,1815,2181,2089,2031,2081,2202,2242,2224,2101,2020,2159,2349,2349,2205,2212,2269,2499,2408,2245,2247,2361,2449,2517,2443,2478,2490,2563,2566,2449,2385,2482,3159,2504,2599,2529,2593,2678,2612,2402,2383,2528,2500,2588,2498,2497,2602,2630,2518,2513,2437,2572,2570,2580,2458,2496,2585,2612,2581,2439,2385,2584,2624,2538,2512,2563,2639,2686,2617,2927,2462,2485,2661,2607,2490,2591,2769,2639,2693,2538,2501,2573,2698,2595,2419,2310,2440,2450,2300,2230,2020,2003,1834,1687,1550,1441,1290,1089,1066,909,891,858,789,728,683,612,567,624,500,415,371,348,316,308,276,249,227,196,209,179,149,150,128,140,112,95,81]
[154,157,170,196,223,217,305,289,352,444,504,522,694,737,871,1068,1267,1336,1332,1485,2205,1942,1745,1716,1894,2129,2120,2066,2056,2151,2300,2158,2180,2005,2119,2420,2417,2294,2263,2426,2520,2428,2369,2216,2317,2471,2550,2370,2528,2545,2660,2570,2347,2389,2538,2611,2516,2484,3045,2655,2700,2577,2473,2418,2482,2667,2514,2568,2547,2777,2784,2597,2453,2465,2577,2752,2604,2466,2600,2683,2717,2633,2486,2283,2600,2673,2439,2463,2592,2698,2707,2655,2439,2430,2677,3239,2512,2471,2644,2721,2758,2662,2457,2530,2618,2694,2525,2303,2298,2610,2478,2297,2120,2012,2124,1943,1760,1486,1420,1314,1222,1081,946,862,832,734,672,691,606,515,543,490,508,416,355,321,318,267,244,223,179,202,170,173,143,170,103,107,111,75]
[153,163,182,198,196,220,269,310,354,439,482,552,666,751,845,1017,1209,1404,1441,1637,1822,1879,1877,2102,1827,2058,2015,2113,2149,2337,2442,2334,2217,2063,2177,2266,2353,2418,2328,2548,2632,2481,2347,2335,2416,2431,2544,2501,2432,2573,2754,2634,2481,2566,2504,2541,2557,2574,2598,2806,3301,2719,2446,2408,2535,2481,2607,2586,2620,2775,2879,2661,2529,2554,2409,2670,2532,2583,2654,2744,2891,2744,2584,2630,2571,2773,2638,2445,2557,2846,2791,2598,2508,2511,2460,2692,2600,2632,3233,2820,2851,2577,2528,2527,2603,2602,2529,2515,2567,2647,2651,2313,2132,2181,2127,2108,1769,1650,1523,1364,1219,1087,1030,892,827,778,725,662,603,545,517,471,395,392,380,387,316,263,258,227,212,190,179,161,152,137,125,95,103,88]
[140,161,184,223,227,264,273,339,374,449,481,563,690,738,905,1028,1252,1331,1549,1997,2171,2329,2141,2063,1948,1939,2454,2058,2346,2548,2883,2660,2413,2270,2288,2316,2370,2407,2541,2712,2981,2769,2551,2407,2378,2344,2471,2496,2631,2799,2928,2894,2744,2531,2490,2425,2586,2587,2681,2961,3033,2880,2709,2643,2963,2551,2572,2593,2880,3119,3189,2962,2672,2596,2451,2471,2506,2558,2826,3093,3197,3040,2802,2597,2563,2566,2529,2669,2791,2991,3017,2940,2743,2604,2490,2595,2652,2691,2771,2973,3146,3691,2800,2603,2519,2463,2514,2515,2673,2956,2996,2697,2500,2233,2194,2063,1861,1482,1452,1375,1156,1130,1023,917,827,793,752,627,621,506,481,464,431,378,355,307,292,260,310,200,235,178,166,164,140,146,115,108,99,92]
[133,162,186,183,214,264,267,341,333,422,477,554,651,812,912,1045,1204,1502,2028,2549,2819,3016,2663,2279,2119,1983,2056,2218,2595,3652,3237,3033,2723,2520,2363,2335,2400,2496,2752,3133,3257,3017,2840,2549,2519,2492,2535,2533,2843,3245,3298,2979,2889,2670,2435,2463,2564,2687,2965,3369,3361,3207,2927,2784,2542,2535,3216,2764,3157,3507,3522,3166,3026,2780,2620,2530,2631,2735,3144,3350,3443,3460,3162,2854,2623,2655,2592,2749,3024,3472,3453,3210,3060,2723,2634,2541,2641,2859,3126,3456,3454,3412,3125,2821,2929,2584,2649,2744,3201,3543,3482,3036,2766,2407,2094,2022,1821,1630,1521,1353,1253,1099,1005,879,845,815,718,666,655,539,499,493,401,359,377,319,274,257,255,225,217,239,165,147,123,125,113,104,120,81]
[160,166,175,182,218,237,308,347,358,466,507,597,618,750,942,1054,1243,1502,2117,2966,3292,3464,3233,2746,2283,2203,2206,2322,2657,3187,3522,3430,3742,2766,2515,2545,2490,2564,2928,3287,4144,3480,3124,2862,2622,2617,2626,2789,3070,3539,3569,3574,3348,2867,2654,2685,2692,2977,3381,3815,3756,3631,3178,2851,2699,2580,2743,2904,3512,3881,4341,3543,3144,2899,2688,2654,2660,2955,3541,3817,3783,3683,3304,2994,2837,2647,2761,2936,3452,3679,3723,3594,3116,2925,2640,2700,2771,3067,3535,3875,3874,3840,3334,2953,2730,2666,2756,3566,3636,3981,3627,3328,2902,2433,2278,1984,1839,1609,1463,1322,1245,1094,1004,946,890,765,783,658,619,570,511,438,411,352,334,294,265,264,227,191,183,192,168,154,147,134,114,106,92,68]
[176,201,205,244,236,281,348,346,437,510,584,692,802,920,1085,1268,1621,2263,2850,3334,3225,3033,2448,2183,2122,2156,2300,2721,3293,3386,3371,3005,2534,2947,2392,2510,2554,2983,3449,3442,3340,3146,2669,2460,2573,2508,2791,3026,3500,3530,3543,3168,2745,2630,2593,2761,2883,3403,3834,3740,3487,3062,2749,2755,2691,2596,3025,3494,3628,3777,3577,3442,2746,2786,2698,2797,3005,3456,3782,3786,3549,3214,2850,2728,2704,2728,2978,3310,3814,3706,3538,3204,2812,2644,2571,2710,2950,3559,3791,3676,3825,3257,2908,2627,2587,2611,2776,3446,4092,3598,3089,2860,2466,2365,1815,1764,1570,1447,1337,1208,1116,980,881,845,778,711,649,628,499,511,478,390,368,339,331,313,293,227,238,197,191,167,151,121,121,159,110,85,92,71]
[156,176,154,192,218,238,286,324,374,426,502,601,662,786,904,974,1124,1397,1568,2032,2527,2804,2578,2171,2048,2081,2031,2136,2341,2525,2913,2895,2731,2340,2827,2368,2259,2361,2636,2881,3048,3000,2706,2516,2430,2416,2443,2463,2703,3008,3154,3193,2891,2600,2582,2488,2579,2601,2817,3014,3234,3238,2915,2687,2518,2545,2547,2629,2793,3001,3049,3653,2788,2660,2564,2452,2570,2618,2853,3233,3202,3178,2950,2756,2651,2594,2659,2706,2891,3126,3103,3054,2904,2568,2404,2471,2516,2607,2944,3232,3400,3293,2983,2628,2511,2469,2398,2484,2853,3747,3080,2983,2490,2193,2052,1812,1731,1628,1443,1284,1183,1008,981,902,823,766,708,656,594,502,479,427,417,371,367,323,274,265,228,210,239,182,169,156,149,110,142,96,95,83]
[190,171,197,209,229,247,283,346,364,446,476,536,679,771,965,1026,1110,1224,1408,1689,2117,2203,2098,1856,1860,1932,1919,1936,2001,2212,2419,2396,2200,2221,2242,2186,2265,2702,2283,2416,2574,2423,2437,2285,2354,2300,2301,2394,2460,2563,2701,2661,2611,2449,2410,2387,2454,2471,2606,2722,2780,2702,2563,2466,2341,2460,2447,2428,2565,2706,2897,2678,2478,2464,2866,2405,2531,2575,2585,2749,2860,2753,2771,2589,2463,2501,2471,2534,2553,2697,2723,2687,2568,2377,2351,2371,2349,2564,2550,2799,2882,2756,2461,2283,2411,2240,2227,2295,2389,2587,2594,2448,2569,1989,1921,1795,1727,1566,1419,1270,1096,1064,942,858,828,717,665,624,585,493,503,439,437,337,340,328,276,246,235,247,200,175,157,164,136,120,109,102,75,98]
[142,180,185,235,219,268,299,311,366,432,479,608,712,757,864,1076,1165,1255,1370,1458,1793,1867,1822,1820,1963,1993,1980,2054,2114,2306,2221,2178,2171,2196,2178,2345,2364,2349,2290,2391,3016,2313,2309,2358,2385,2472,2473,2382,2457,2555,2611,2465,2275,2459,2498,2422,2517,2447,2463,2747,2653,2587,2455,2491,2489,2527,2576,2556,2562,2583,2664,2619,2417,2531,2494,2498,2512,2560,3185,2666,2672,2622,2479,2593,2542,2515,2492,2456,2551,2654,2643,2517,2546,2472,2466,2426,2480,2402,2633,2588,2574,2535,2529,2507,2317,2317,2276,2264,2354,2506,2475,2164,2198,2044,1969,2237,1703,1541,1370,1274,1157,1029,959,851,803,786,697,651,568,503,510,429,406,333,360,286,269,243,232,235,197,186,144,143,144,101,104,111,102,90]
[155,163,169,219,200,257,332,327,368,382,452,599,640,763,927,1077,1200,1294,1358,1467,1746,1856,1716,1793,1951,2149,2202,2138,2070,2232,2417,2259,2091,2115,2213,2376,2468,2277,2345,2480,2586,2403,2323,2791,2418,2467,2511,2411,2503,2519,2613,2407,2409,2373,2500,2646,2613,2508,2608,2723,2745,2686,2358,2574,2558,2637,2675,2524,2545,2726,2681,2592,2515,2519,2730,2640,2599,2461,2574,2647,3308,2602,2555,2475,2617,2660,2525,2486,2557,2589,2576,2603,2417,2501,2443,2528,2385,2452,2459,2578,2576,2452,2507,2396,2566,2429,2370,2295,2280,2362,2403,2320,2044,1976,1966,1879,1659,1553,1654,1258,1162,994,958,880,754,764,685,640,564,546,495,463,401,326,391,304,301,270,239,221,181,177,167,156,140,90,149,99,84,90]
[158,167,197,219,251,243,294,305,328,489,439,585,648,777,914,1045,1203,1277,1316,1580,1691,1785,1699,1706,1858,2176,2155,2086,2140,2185,2233,2204,2142,2096,2194,2414,2462,2329,2383,2499,2543,2394,2220,2159,2373,2529,3054,2365,2367,2574,2641,2500,2409,2352,2551,2611,2505,2467,2534,2658,2631,2630,2401,2413,2459,2642,2624,2497,2470,2686,2606,2563,2484,2395,2593,2626,2584,2432,2597,2566,2667,2656,2426,2869,2553,2624,2533,2521,2468,2622,2616,2609,2360,2456,2492,2677,2509,2407,2380,2535,2500,2435,2369,2351,2548,2473,2291,2211,2255,2470,2429,2151,1924,2004,2017,1956,1647,1557,1373,1213,1185,1275,962,861,767,722,672,606,586,521,497,385,419,390,349,331,263,265,241,235,183,174,172,144,143,116,90,103,80,94]
[159,190,183,187,195,267,266,320,396,418,485,697,690,745,870,1082,1181,1321,1532,1633,1672,1852,1783,1671,1876,2040,2102,2233,2206,2442,2442,2373,2161,2143,2241,2386,2500,2488,2400,2527,2645,2500,2343,2240,2321,2395,2605,2570,2523,3197,2777,2623,2430,2333,2479,2478,2508,2531,2600,2778,2770,2713,2507,2468,2495,2464,2576,2577,2664,2753,2819,2706,2568,2442,2535,2675,2663,2537,2719,2832,2828,2709,2455,2580,2678,2594,3120,2581,2699,2914,2814,2648,2504,2416,2613,2679,2418,2554,2433,2674,2658,2623,2431,2395,2437,2502,2416,2280,2270,2492,2531,2314,2119,2021,2068,2003,1705,1594,1424,1299,1118,1062,1012,1041,840,789,703,611,557,520,506,461,407,351,315,333,310,270,220,215,185,203,173,151,139,114,103,98,85,70]
[166,169,186,225,224,251,297,280,359,446,486,580,680,758,1093,1079,1221,1466,1704,1895,2034,2076,1933,1860,1906,2030,2049,2161,2437,2681,2727,2680,2514,2306,2315,2348,2376,2543,2683,2883,2931,2835,2541,2413,2426,2495,2454,2569,2619,2973,2978,3088,3164,2495,2418,2471,2484,2554,2703,3058,3015,2807,2636,2539,2507,2598,2552,2591,2758,3059,3100,2933,2655,2430,2518,2582,2539,2680,2729,2915,3108,2901,2605,2554,2550,2687,2602,2652,2725,3532,3126,2922,2611,2533,2608,2580,2404,2524,2665,2856,2900,2757,2684,2458,2433,2362,2302,2424,2456,2719,2683,2549,2227,2090,2088,1946,1772,1578,1461,1276,1192,1093,957,865,844,732,852,633,580,501,505,438,373,361,307,333,261,266,256,180,207,170,156,126,134,135,104,100,95,87]
[136,171,187,218,213,274,279,316,398,436,482,562,671,798,902,1105,1301,1822,2054,2428,2554,2672,2496,2188,2046,2094,2160,2400,2850,3186,3134,3023,2923,2532,2492,2422,2557,2560,2900,3273,3351,3262,2998,2733,2521,2498,2495,2613,2902,3524,3339,3301,2989,2830,2542,3061,2558,2691,2982,3412,3226,3219,2904,2706,2523,2656,2555,2735,3202,3655,3443,3325,2956,2786,2590,2570,2679,2822,3254,3457,3391,3316,3109,2773,2718,2514,2682,2750,2972,3486,3525,3287,3548,2679,2600,2527,2475,2668,2946,3216,3342,3054,2890,2512,2411,2450,2462,2474,2843,3162,2934,2677,2355,2127,2105,1953,1776,1511,1485,1301,1178,1118,1025,854,861,788,705,696,616,635,479,449,388,369,321,294,280,296,210,212,193,192,152,150,149,110,113,122,89,80]
[135,165,180,199,219,231,304,313,371,465,525,530,656,846,938,1068,1249,1583,2173,2915,3819,3380,3211,2471,2226,2174,2247,2487,3243,3861,3650,3449,3269,2767,2535,2565,2589,2713,3414,4027,3896,3460,3233,2936,2658,2555,2752,2719,3369,3947,3931,3657,3132,3003,2747,2683,2734,3361,3361,3832,3654,3405,2996,2827,2661,2623,2735,2873,3705,4051,3806,3563,3164,2885,2658,2590,2700,3073,3685,3974,3814,3647,3324,2993,2741,2668,2825,2916,3401,3887,3831,3748,3431,2936,2665,2619,3207,2896,3335,3697,3780,3568,3135,2721,2501,2476,2446,2562,3132,3751,3357,3059,2588,2295,2024,1907,1735,1578,1469,1361,1198,1107,989,920,881,742,660,610,564,530,496,400,408,406,320,310,294,286,209,212,184,177,148,136,130,106,117,99,91,94]
[131,184,163,188,204,229,273,328,375,466,496,542,738,765,875,1080,1252,1518,2032,2812,3266,3296,3118,2408,2520,2254,2190,2532,3121,3874,3791,3481,3125,2695,2542,2532,2625,2800,3398,3740,3716,3425,3237,2797,2565,2413,2589,2802,3311,3675,3730,3509,3315,2912,2622,2547,2586,2716,3289,3627,3725,4089,3127,2866,2554,2635,2641,3078,3649,3775,3791,3515,3134,2789,2671,2652,2694,3016,3396,3797,3825,3605,3224,2956,2746,2660,2691,3043,3538,3942,3771,3464,3291,2854,2601,2644,2679,2839,3200,4452,3792,3445,3063,2677,2419,2335,2457,2567,2947,3322,3410,3067,2527,2163,2060,1922,1762,1603,1460,1297,1182,1114,948,865,828,751,672,591,540,539,521,432,376,344,313,301,337,232,240,190,174,164,151,138,128,100,111,87,91,88]
[140,167,168,190,235,268,257,345,403,428,507,581,658,771,846,1052,1176,1245,1609,1999,2559,2784,2512,2088,1908,1982,2036,2563,2563,2983,3084,3113,2831,2476,2372,2361,2404,2442,2840,3191,3142,3093,2875,2615,2502,2240,2472,2386,2856,3077,3250,3161,2969,2563,2428,2364,2408,2539,2776,3082,3215,3158,2944,2658,2964,2489,2489,2679,3045,3205,3385,3355,2881,2723,2561,2488,2579,2609,2920,3256,3399,3360,2968,2725,2504,2371,2554,2651,2995,3222,3287,3225,3022,2562,2431,2490,2444,2537,2783,3071,3259,3174,3408,2336,2387,2236,2193,2435,2673,2778,2796,2767,2399,2031,1924,1884,1765,1576,1412,1243,1136,1068,946,865,738,714,701,658,555,514,463,420,392,348,303,259,254,249,201,235,209,179,157,139,134,126,105,88,80,63]
[162,146,152,219,241,252,262,333,381,424,546,539,705,767,917,1038,1121,1196,1379,1671,1983,2160,1975,1880,1779,1778,1902,2052,2139,2388,2947,2605,2415,2266,2220,2276,2240,2345,2423,2551,2747,2692,2478,2372,2388,2279,2279,2427,2482,2562,2783,2664,2553,2443,2338,2309,2470,2652,2599,2634,2857,2684,2552,2339,2397,2433,2460,3060,2698,2886,2946,2870,2545,2451,2562,2354,2461,2492,2652,2815,2909,2820,2607,2436,2505,2330,2437,2501,2581,2836,2833,2895,2568,2399,2442,2334,2351,2406,2527,2629,2784,2659,2408,2320,2638,2175,2164,2215,2319,2510,2506,2253,2004,1954,1875,1828,1646,1499,1381,1226,1100,1006,896,885,736,732,659,586,541,442,494,419,385,344,329,282,261,226,231,206,204,159,166,133,114,95,101,92,99,79]
[135,149,185,186,212,238,252,289,350,416,486,598,689,808,868,1114,1155,1260,1281,1613,1725,1868,1798,1794,1860,1987,1937,2051,2123,2187,2249,2312,2221,2624,2255,2271,2309,2329,2341,2499,2504,2559,2308,2350,2463,2321,2400,2358,2423,2549,2580,2542,2342,2417,2331,2444,2435,2515,2487,2572,2593,2661,2380,2442,2416,2463,2574,2500,2645,2610,3161,2507,2440,2442,2450,2514,2496,2441,2490,2660,2661,2634,2444,2379,2457,2433,2440,2513,2521,2616,2723,2540,2437,2539,2354,2381,2440,2337,2374,2519,2516,2341,2330,2357,2300,2217,2131,2215,2688,2286,2161,2110,2032,2067,1891,1793,1651,1502,1378,1252,1076,1002,959,881,762,700,669,645,592,496,483,435,414,354,314,326,258,234,228,229,225,163,156,141,130,133,100,113,87,70]
[149,141,180,198,252,257,281,291,352,409,459,563,704,752,897,1047,1194,1238,1320,1512,1631,1816,1758,1726,1935,2048,2136,2125,2105,2138,2201,2199,2049,2084,2099,2335,2930,2287,2320,2563,2578,2415,2232,2273,2403,2450,2406,2391,2463,2512,2553,2476,2378,2348,2448,2524,2538,2535,2551,2552,2615,2567,2396,2425,2413,2591,2611,2435,2470,2654,2757,2684,2479,2976,2445,2563,2530,2482,2477,2705,2634,2596,2474,2484,2611,2600,2553,2391,2477,2598,2548,2558,2410,2365,2531,2503,2400,2385,2435,2497,2478,2589,2362,2345,2351,2333,2285,2212,2205,2351,2216,2504,2035,2010,1924,1803,1644,1489,1408,1283,1139,958,948,820,811,734,647,647,577,522,478,397,349,338,339,300,273,269,258,205,208,162,174,160,141,109,118,87,96,68]
[117,172,230,183,235,248,304,278,375,409,457,610,635,770,932,1098,1228,1309,1403,1553,1783,1875,1737,1619,1826,2098,2107,2051,2028,2177,2199,2164,2091,2034,2128,2395,2397,2303,2264,2885,2641,2392,2242,2222,2399,2366,2399,2414,2454,2419,2608,2335,2413,2216,2307,2468,2499,2403,2463,2554,2581,2440,2395,2391,2359,2564,2522,2481,2478,2546,2660,2469,2415,2362,2527,2499,2475,2863,2432,2599,2616,2508,2458,2380,2554,2602,2520,2275,2490,2576,2636,2516,2487,2283,2431,2507,2378,2340,2362,2491,2441,2433,2358,2272,2398,2386,2187,2179,2175,2248,2218,2131,1967,1950,2289,1780,1574,1461,1344,1234,1065,970,806,797,757,713,633,572,548,489,477,429,362,320,328,307,294,235,237,201,181,147,165,144,121,107,103,95,87,66]
[155,209,186,274,252,285,353,378,434,538,602,726,774,967,1180,1320,1441,1584,1697,1958,1906,1754,1763,1867,2060,2004,1965,2146,2367,2344,2018,2392,2023,2232,2474,2351,2353,2395,2567,2529,2893,2378,2262,2401,2498,2368,2450,2578,2601,2535,2381,2352,2435,2559,2576,2510,2527,2638,2704,2791,2410,2439,2368,2497,2556,2526,2583,2637,2726,2691,2453,2490,2395,2466,2497,2551,2541,3270,2782,2682,2521,2457,2403,2602,2518,2439,2489,2772,2769,2645,2628,2432,2541,2576,2456,2539,2557,2617,2743,2490,2419,2279,2304,2369,2334,2273,2329,2292,2428,2213,2119,1963,2026,1995,2117,1537,1394,1293,1155,1088,945,866,845,733,711,638,580,501,508,469,397,375,325,314,233,267,242,207,169,166,187,127,148,129,110,88,90,87,73,63]
[156,215,221,310,276,341,375,443,547,587,689,802,909,1116,1350,1539,1679,2140,2135,2222,1974,1812,1805,1957,1953,2066,2217,2466,2595,2396,2224,2161,2109,2319,2274,2311,2523,2682,2875,2753,3018,2341,2256,2423,2430,2471,2555,2786,2829,2776,2585,2339,2328,2367,2470,2521,2576,2818,2905,2819,2535,2386,2412,2540,2466,2419,2651,2884,2848,2845,2605,2521,2506,2540,2524,2497,2614,3481,2961,2691,2517,2488,2516,2433,2421,2401,2622,2992,2995,2768,2546,2475,2361,2399,2397,2427,2516,2785,2865,2704,2539,2362,2310,2303,2237,2240,2450,2662,2657,2411,2177,2088,2039,1882,1685,1841,1341,1231,1091,985,983,842,800,704,651,608,531,496,433,406,403,335,306,289,280,265,236,186,199,184,159,138,120,105,111,91,69,65,80,47]
[171,162,155,208,224,231,350,294,374,444,509,561,737,776,904,1168,1290,1663,2256,2651,2877,2776,2590,2130,1946,2025,1964,2180,2580,2907,2848,2878,2407,2286,2289,2186,2322,2451,2818,3377,3385,3192,2872,3001,2324,2364,2494,2499,3023,3490,3375,3036,2914,2489,2391,2401,2460,2548,3083,3301,3232,3054,2938,2590,2374,2402,2512,2676,3038,3401,3361,3251,2896,2559,2370,2416,2547,2699,3127,3491,4125,3139,2860,2574,2442,2435,2541,2587,3113,3330,3321,3230,2920,2536,2433,2498,2372,2626,3009,3209,3271,3053,2820,2499,2366,2366,2358,2508,3083,3309,3106,2839,2445,2144,1946,1851,1671,1419,1581,1239,1111,959,934,801,758,675,642,611,505,445,462,383,361,325,298,277,240,226,193,183,182,158,145,117,108,97,84,92,67,76]
[151,162,191,206,213,239,296,352,506,457,534,602,706,824,937,1184,1394,2012,3004,3431,3440,3435,3055,2243,2117,1969,2029,2449,3053,3448,3479,3230,2765,2490,2340,2232,2286,2786,3493,3914,3726,3619,2931,2665,2414,2884,2566,3065,3793,4082,3701,3544,3046,2595,2409,2399,2711,3075,3838,3784,3553,3551,3124,2572,2678,2508,2663,3055,3653,3835,3779,3592,3248,2652,2650,2514,2563,3145,3902,4158,3850,3616,3213,3255,2463,2512,2620,2990,3710,4033,3770,3529,3122,2641,2539,2558,2598,3055,3697,4014,3695,3515,2906,2563,2464,2461,2439,2966,3742,3927,3445,3187,2643,2208,1954,1878,1643,1453,1316,1197,1329,990,916,827,776,681,619,608,491,433,411,388,362,293,260,277,229,218,188,164,156,161,153,111,87,90,100,78,67,63]
[142,164,182,222,226,257,301,315,356,398,487,718,707,798,943,1052,1353,1787,2763,3492,3416,3402,2930,2227,2111,2106,2014,2345,2846,3582,3532,3203,3002,2458,2343,2328,2369,2755,3273,3654,3925,3411,3190,2617,2435,2382,2487,2678,4234,3872,3842,3691,3072,2559,2373,2444,2459,2813,3537,3753,3693,3500,3067,2663,2475,2452,2658,2788,3552,3891,3879,3496,3090,2695,2461,2347,2523,2845,3631,4061,3810,3543,3137,2705,2486,2922,2462,2921,3506,3718,3639,3469,3051,2639,2404,2396,2532,2905,3569,3976,3637,3400,2932,2470,2202,2332,2282,2732,3687,4001,3735,3228,2629,2174,1861,1718,1617,1465,1312,1219,1051,969,1073,772,740,640,548,506,515,446,410,364,348,267,268,255,249,205,177,169,167,144,121,139,99,86,87,74,70,67]
[142,161,186,201,224,250,279,288,363,390,475,535,650,870,924,1064,1127,1420,2019,2461,2811,2802,2430,1931,1825,1863,1847,2047,2266,2618,2771,2799,2480,2297,2061,2081,2287,2240,2603,3095,3195,3169,2694,2428,2294,2289,2315,2409,2765,3103,3184,3756,2839,2362,2303,2219,2440,2587,2973,3032,3264,3254,2798,2419,2400,2316,2382,2573,2882,3163,3333,3059,2907,2521,2327,2375,2398,2429,2886,3200,3140,3271,2909,2570,2254,2192,2319,2441,3170,3129,3226,3233,2864,2483,2292,2311,2261,2426,2782,3036,3282,3128,2563,2302,2155,2142,2138,2291,2952,3115,3235,2983,2331,2102,1830,1616,1568,1407,1254,1202,1089,930,855,746,763,757,611,493,474,458,432,410,358,333,301,281,237,230,174,188,167,128,139,129,98,85,90,75,84,69]
[137,188,183,200,203,228,290,324,383,379,505,544,659,791,891,1005,1044,1280,1504,1715,2767,2248,2040,1755,1669,1758,1862,1777,2077,2295,2455,2320,2223,1970,2004,2018,2005,2177,2274,2609,2744,2501,2360,2255,2212,2204,2212,2228,2447,2673,2787,2682,2438,2294,2247,2251,2291,2815,2511,2755,2889,2772,2439,2348,2278,2274,2270,2307,2648,2797,2837,2621,2397,2306,2355,2199,2313,2372,2484,2639,2850,2739,2438,2291,2222,2153,2236,2368,2425,2714,2754,2719,2532,2271,2714,2271,2303,2348,2448,2703,2773,2512,2257,2167,2170,2053,1978,2109,2360,2655,2593,2361,2055,1824,1809,1609,1600,1371,1262,1125,1024,927,842,764,658,622,562,550,477,454,382,398,395,297,318,267,206,228,201,155,144,128,128,138,113,100,87,74,63,57]
[146,187,174,164,207,243,267,310,343,421,457,555,686,758,925,1022,1122,1213,1374,1560,1794,1764,1696,1715,1772,1769,1799,1902,1957,2187,2186,2057,1872,2010,2005,2151,2162,2140,2707,2368,2335,2234,2178,2247,2288,2292,2182,2267,2427,2520,2447,2399,2205,2249,2324,2349,2305,2376,2476,2576,2550,2473,2347,2247,2328,2352,2332,2288,2536,2616,2470,2342,2392,2362,2285,2274,2789,2337,2443,2514,2517,2160,2201,2272,2163,2279,2217,2313,2431,2553,2538,2447,2352,2371,2252,2247,2257,2312,2327,2465,2440,2267,2267,2209,2117,2164,2037,2065,2215,2317,2160,2018,1916,2215,1693,1635,1503,1339,1252,1010,908,795,753,763,673,579,558,554,501,440,374,365,350,314,316,265,238,224,174,190,171,138,132,112,107,82,90,75,74,62]
[158,155,173,185,211,231,263,308,477,419,464,617,615,820,905,1011,1132,1228,1354,1533,1603,1665,1650,1679,1824,1930,1899,1877,2002,2057,2096,1988,1932,1933,2088,2221,2094,2139,2197,2295,2375,2219,2147,2048,2218,2784,2396,2227,2455,2412,2401,2299,2201,2216,2405,2464,2322,2354,2337,2573,2527,2386,2283,2267,2428,2401,2375,2236,2465,2450,2477,2622,2286,2226,2366,2295,2293,2269,2327,2397,2443,2325,2213,2683,2291,2302,2308,2316,2326,2425,2507,2431,2311,2347,2341,2820,2195,2280,2303,2352,2306,2220,2120,2111,2206,2214,2028,2050,2177,2266,2101,1835,1782,1794,1667,1593,1435,1328,1153,1036,890,791,750,654,633,551,565,491,500,407,405,357,353,286,264,207,220,209,184,169,147,145,126,98,85,84,88,73,58,71]
[141,160,154,177,215,212,260,320,343,435,477,535,644,779,874,1048,1150,1193,1306,1492,1713,1772,1804,1585,1837,2058,1978,1867,1971,2056,2119,2065,1923,1893,2050,2214,2057,2076,2205,2318,2240,2198,2149,2067,2230,2420,2284,2182,2297,2415,2537,2376,2235,2195,2218,2404,2306,2327,2327,2496,3058,2287,2245,2164,2371,2469,2295,2290,2390,2446,2484,2349,2202,2198,2327,2366,2266,2213,2347,2393,2446,2218,2087,2159,2274,2527,2161,2149,2359,2387,2444,2390,2269,2259,2336,2353,2270,2593,2253,2383,2284,2293,2141,2157,2222,2234,2031,2086,2057,2284,2146,1885,1812,1828,1771,1618,1493,1304,1171,1041,991,815,755,656,649,571,545,488,477,471,410,347,300,328,340,239,234,211,192,188,166,149,126,101,98,89,84,85,53,51]
[151,158,166,193,219,239,247,292,352,418,428,509,588,762,827,1061,1175,1242,1351,1571,1684,1760,1613,1521,1592,2203,2000,1963,1987,2218,2314,2144,1854,1929,1953,2116,2121,2116,2174,2280,2299,2195,2120,2049,2141,2198,2152,2244,2364,2402,2518,2339,2225,2276,2178,2216,2390,2271,2390,2527,2598,2440,2735,2208,2330,2390,2322,2261,2355,2574,2413,2314,2261,2246,2275,2348,2268,2200,2277,2397,2477,2416,2176,2216,2221,2275,2242,2122,2292,2430,2537,2381,2237,2169,2171,2313,2214,2210,2272,2978,2366,2351,2313,2129,2287,2156,2052,2060,2213,2277,2263,2086,1848,1854,1804,1678,1443,1316,1209,1026,1059,864,767,679,697,568,551,500,474,447,409,388,305,311,289,254,229,218,152,143,142,120,140,110,91,99,68,66,63,51]
[127,163,159,169,213,220,235,275,336,383,410,500,601,699,833,919,1144,1337,1427,1781,1942,1948,1749,1557,1583,1725,1812,1984,2582,2345,2606,2196,2121,1892,1875,2052,2085,2076,2149,2386,2398,2385,2193,2040,2094,2154,2164,2134,2420,2638,2632,2489,2383,2096,2225,2201,2217,2329,2472,2799,2778,2699,2520,2321,2177,2768,2366,2263,2503,2620,2612,2489,2267,2070,2184,2263,2204,2229,2397,2593,2692,2456,2311,2133,2202,2157,2171,2215,2418,2574,2607,2589,2350,2176,2184,2169,2222,2229,2437,2615,2697,2474,2223,2553,2194,2097,2095,1926,2324,2531,2361,2225,1880,1802,1807,1725,1536,1316,1183,1100,984,871,763,710,680,567,507,421,441,431,390,359,330,295,267,216,224,168,179,177,181,137,134,116,100,98,84,51,72,50]
[125,138,153,178,188,244,269,303,365,409,454,527,609,713,857,990,1181,1405,2472,2596,2620,2660,2261,1755,1678,1803,1840,2243,2896,3298,3241,3002,2587,2198,2040,1958,2069,2139,2515,2703,2767,2691,2479,2236,2060,2124,2178,2253,2757,3151,2991,2693,2543,2238,2124,2686,2379,2451,2968,3307,3096,2813,2551,2281,2212,2242,2343,2519,2873,3036,2881,2775,2555,2294,2171,2079,2209,2323,2778,3023,2964,2879,2641,2277,2064,2090,2129,2293,2774,3018,3053,2876,2698,2779,2106,2156,2289,2406,2869,3235,3074,2851,2549,2187,2118,2122,2103,2250,2784,2932,2934,2639,2238,1843,1765,1632,1456,1251,1126,1053,924,901,752,700,640,574,531,499,442,430,430,300,286,294,261,221,191,170,170,153,124,124,113,90,85,91,51,70,60,46]
[155,164,155,180,195,218,221,246,310,386,411,526,573,721,856,1031,1209,1557,2480,3293,3342,4180,2836,2037,1814,1837,2000,2494,3364,3755,3702,3664,3219,2500,2063,2065,2081,2309,2834,3286,3261,2955,2618,2281,2135,2119,2251,2551,3367,3998,3660,3296,2950,2328,2192,2215,2348,2707,4357,3921,3755,3401,2793,2411,2336,2304,2328,2760,3390,3669,3472,3084,2665,2363,2208,2145,2306,2682,3405,3757,3547,3340,2953,2320,2160,2067,2244,2666,3185,3739,3574,3398,2935,2319,2215,2596,2218,2642,3222,3746,3574,3249,2723,2270,2168,2176,2200,2644,3381,3754,3512,3170,2529,1960,1760,1627,1438,1250,1200,1027,913,836,784,670,643,558,553,483,438,380,402,359,316,318,247,209,187,144,154,140,117,102,99,90,85,73,75,49,40,41]
[147,167,179,143,208,213,252,285,337,389,423,468,583,743,786,941,1085,1454,2393,3248,3543,3503,2853,2480,1813,1829,1955,2458,3363,3816,3684,3511,3066,2386,2002,2025,1981,2231,2708,3099,3202,3051,2660,2160,2158,2154,2090,2491,3282,3709,3727,3279,2865,2304,2182,2130,2265,2401,3122,3852,4477,3270,2892,2392,2219,2169,2255,2425,3159,3628,3498,3180,2649,2196,2061,2043,2206,2609,3339,3819,3567,3280,2881,2351,2132,2096,2186,2572,3289,3801,3547,3395,2834,2305,2168,2146,2122,2552,3909,3697,3605,3171,2627,2219,2003,2107,2093,2487,3224,3852,3432,2980,2412,1939,1716,1566,1383,1270,1219,1040,951,856,701,616,576,553,523,490,393,375,370,322,266,278,268,227,181,164,141,129,105,118,96,92,76,63,58,67,44,40]
[137,132,148,178,190,222,262,243,290,352,409,473,527,683,742,903,974,1207,1738,2165,2598,2700,2306,1679,1657,1620,2038,1868,2410,2662,2980,2771,2530,2110,1915,1825,1849,1937,2161,2442,2568,2530,2244,1984,1934,2038,1972,2132,2354,2904,2953,2942,2439,2184,2043,2042,2101,2244,2431,2934,3081,2990,2560,2591,2107,1986,2028,2125,2520,2793,2787,2773,2368,2048,2001,1942,1986,2024,2592,2929,3134,2884,2446,2040,1993,1907,1977,2166,2474,2859,2952,2796,2516,2061,1939,1941,1992,2089,2366,2736,2883,3236,2261,1982,1921,1818,1821,1920,2312,2647,2740,2556,2015,1691,1613,1456,1261,1165,1086,957,812,720,650,635,567,532,492,411,388,370,315,291,272,254,203,215,189,180,197,121,117,94,102,89,70,55,50,69,34,37]
[138,166,170,161,222,235,255,309,382,415,458,551,668,790,948,977,1235,1326,1766,1950,1978,1600,1434,1528,1626,1613,2034,2012,2334,2480,2120,1882,1753,1765,1859,1739,1895,1961,2150,2273,2000,1822,1884,1950,1837,1933,1913,2320,2473,2343,2315,2031,1964,1999,1960,1931,1995,2090,2487,2567,2396,2105,1925,2320,1945,1972,2098,2181,2298,2373,2200,2030,1847,1959,1898,1990,1994,2187,2440,2348,2338,1966,1863,1905,1859,1832,1989,2274,2377,2521,2269,1975,1946,1970,1846,1821,1933,2170,2386,2558,2157,2297,1711,1839,1825,1723,1818,2178,2290,2159,1859,1704,1639,1585,1367,1312,1105,1007,836,754,644,582,527,521,491,412,382,342,354,325,290,261,222,195,179,153,155,161,139,104,108,62,79,62,49,53,34,43,29,32]
[112,115,135,167,177,192,220,255,261,315,396,418,507,646,658,912,940,1120,1144,1410,1574,1560,1551,1405,1491,1627,1748,1594,2067,1836,1878,1896,1761,1688,1753,1850,1805,1817,1803,1904,1997,1872,1842,1792,1831,1952,1917,1908,2008,2154,2268,2132,1897,1951,1910,1943,2003,1963,2061,2156,2282,2223,2040,1960,1927,2424,1928,1951,2024,2255,2178,2135,1972,1894,1931,1971,1936,1812,1947,2136,2137,2056,1856,1812,1925,1895,1881,1854,1947,2024,2142,1948,1950,1890,1919,1991,1861,1812,1885,1969,2052,2075,1832,2180,1859,1915,1809,1753,1818,2021,1939,1753,1684,1602,1514,1398,1309,1110,1003,898,762,658,605,550,484,462,440,399,326,344,295,282,225,234,202,210,166,166,129,141,134,118,98,74,58,51,55,60,49,32]
[103,157,142,138,166,191,196,237,276,307,317,392,479,531,716,756,943,1018,1156,1360,1487,1519,1356,1508,1535,1739,1780,1682,1676,1753,1893,2127,1711,1631,1715,1898,1833,1838,1859,1827,1920,1881,1801,1737,1730,2000,1902,1915,1957,2027,2099,2007,2039,1807,1867,2094,2024,1897,1927,2025,2187,2056,2024,1952,1912,2005,2080,1876,2240,2102,2100,2067,1907,1797,1773,2057,1944,1921,1998,2017,2154,2083,1877,1820,1841,1940,1876,1809,1987,2050,2126,2071,1835,1837,2027,1994,1933,1716,1811,1909,2076,1994,1769,1832,1801,1910,2194,1770,1759,1877,1951,1810,1622,1474,1527,1510,1266,1058,964,912,776,674,590,541,442,463,385,404,361,310,313,285,230,216,197,182,183,166,130,120,116,96,77,98,77,56,55,36,40,37]
[119,139,141,157,163,170,195,252,272,294,346,384,442,523,646,804,942,1008,1193,1369,1621,1631,1473,1288,1498,1731,1730,1758,1621,1749,1981,1874,1768,1571,1993,1864,1822,1704,1754,1768,1978,2031,1700,1587,1729,1935,1977,1881,1935,2077,2098,2028,1954,1788,1949,1940,2017,1932,2090,1983,2078,2182,1951,1916,1891,1989,1974,1883,1812,1949,2105,2515,1936,1783,1798,2074,1902,1912,1853,2049,2127,2020,2034,1810,1814,1980,1971,1829,1982,1998,2126,2130,1870,1791,1949,1897,1825,1833,1897,1977,2103,1925,1815,1736,1870,1949,1819,1815,2171,1923,1963,1789,1599,1491,1490,1316,1147,1027,948,847,729,611,567,472,502,436,401,319,331,330,268,253,242,220,181,188,175,146,123,128,96,101,81,76,56,62,75,52,43,35]
[109,124,125,149,162,162,195,225,243,278,342,388,442,534,650,806,972,1169,1263,1465,1636,1660,1458,1350,1473,1527,1489,1598,1666,1811,1984,1846,1623,1517,1491,1617,1642,2025,1714,1934,2018,1861,1720,1601,1644,1777,1684,1729,1865,2028,2170,2018,1803,1692,1772,1830,1855,1841,2010,2072,2342,2036,1850,1824,1808,1914,1743,1840,1880,2075,2198,2042,1809,1693,2136,1799,1731,1788,1935,2104,2093,2045,1750,1670,1893,1828,1758,1747,1823,2110,2163,2057,1840,1708,1755,1899,1743,1785,1843,1894,2047,1918,1845,1685,1624,1800,1678,1675,1835,2008,2099,2300,1688,1727,1625,1447,1204,1048,877,843,712,648,542,532,423,387,367,319,310,275,264,236,206,199,181,148,126,134,138,120,104,90,81,75,62,51,55,58,42,33]
[89,138,137,119,147,174,187,215,248,282,330,346,422,459,604,760,926,1127,1431,1974,2152,2069,1713,1354,1356,1452,1471,1512,1738,2037,2307,2211,1855,1557,1511,1478,1518,1712,1783,2097,2757,2204,1897,1600,1586,1616,1640,1649,1943,2234,2365,2260,1930,1744,1778,1754,1768,1740,2028,2330,2511,2272,1985,1773,1841,1867,1812,1783,1879,2140,2363,2103,1864,1752,1634,1714,1728,1981,1897,2106,2152,2052,1787,1690,1696,1729,1713,1699,1999,2287,2434,2298,1932,1710,1681,1671,1644,1697,1874,2187,2309,2070,2153,1637,1546,1664,1723,1661,1903,2363,2434,2015,1752,1627,1550,1353,1180,992,922,804,665,625,508,459,435,377,362,322,291,319,211,225,172,175,176,133,139,145,116,114,78,108,73,55,54,61,49,38,40,29]
[94,146,109,130,159,127,145,191,194,268,272,321,337,459,534,653,848,1112,1741,2603,3690,2872,2482,1692,1489,1464,1516,1674,2201,2665,2893,2696,2107,1825,1584,1610,1659,1790,2191,2653,2782,2605,2292,1847,1618,1693,1664,1730,2197,2806,2979,2665,2444,1871,1809,1800,1709,2383,2533,3116,3213,3088,2565,2008,1822,1846,1711,1933,2447,3032,3062,2866,2520,1919,1796,1767,1807,1830,2322,2981,3062,2656,2432,1936,1719,1662,1816,1776,2499,3284,3180,3086,2617,1965,1704,1970,1728,1929,2318,2840,2862,2677,2134,1630,1608,1612,1665,1858,2462,2899,2893,2607,2050,1575,1421,1350,1146,1014,892,707,637,584,523,449,442,368,365,329,290,241,242,196,236,181,146,133,138,121,115,81,88,78,65,75,49,45,66,30,28,39]
[94,100,104,102,127,168,141,170,210,265,259,326,333,423,551,620,817,1085,2074,3390,3876,3671,3285,2666,1659,1537,1600,1757,2486,3159,3494,3185,2670,1977,1678,1614,1617,1754,2405,3393,3487,3369,2886,2032,1688,1585,1687,1804,2477,3270,3601,3389,2823,1990,1765,1828,1804,1948,2733,3494,4466,3504,2839,2113,1842,1770,1722,2002,2709,3543,3505,3314,2733,1934,1697,1660,1680,1838,2679,3448,3326,3037,2460,1856,1632,1676,1687,2080,3155,3836,3717,3601,2854,2090,1652,1587,1518,1860,3140,3451,3443,3191,2467,1790,1582,1570,1663,1938,2985,3478,3460,2979,2326,1631,1380,1226,980,889,762,662,585,540,490,430,377,345,302,300,255,233,210,206,183,170,142,175,121,120,108,91,82,74,72,55,36,55,44,35,37,26]
[75,101,83,114,131,149,151,174,216,199,234,274,317,392,449,542,662,954,1827,3011,3434,3395,2896,1923,1542,1460,1681,1589,2241,3017,3009,3095,2361,1773,1424,1431,1404,1634,2218,3040,3271,3144,2486,1755,1473,1452,1443,1634,2084,2898,2981,2929,2507,1743,1532,1570,1673,1842,2231,3086,3380,3296,2911,2340,1671,1535,1594,1736,2350,2983,3207,3088,2484,1774,1446,1530,1433,1765,2347,2907,2960,2674,2137,1615,1454,1455,1484,1817,2878,3749,3712,3227,2668,1819,1482,1286,1386,1587,2268,2959,3897,2766,2128,1509,1408,1370,1444,1658,2349,2984,3147,2744,2031,1345,1044,966,880,752,694,618,507,441,420,346,313,316,308,274,217,192,194,199,180,129,160,103,104,107,123,69,80,65,57,50,43,33,33,39,35,30]
[87,117,104,110,127,135,143,186,189,218,264,280,327,374,468,526,643,870,1351,2058,2311,2458,2123,1513,1266,1230,1307,1344,1499,2290,2262,2035,1843,1453,1183,1239,1219,1319,1585,1972,2188,2121,1789,1393,1240,1214,1203,1315,1560,2019,2292,2283,1875,1469,1371,1358,1392,1450,1926,2496,2587,2547,2156,1460,1471,1413,1701,1537,1784,2244,2281,2211,1875,1403,1328,1278,1245,1503,1762,2115,2032,2075,1764,1412,1274,1294,1232,1558,1932,2474,2465,2364,1935,1448,1229,1205,1198,1270,1630,1938,2337,2325,1666,1322,1399,1214,1191,1309,1598,2104,2305,1964,1553,1178,925,822,810,679,616,535,496,397,364,326,298,258,266,253,235,214,165,164,175,161,144,91,111,110,83,92,58,76,58,42,30,25,38,41,27,23]
[102,92,86,117,137,119,130,154,185,187,178,239,263,338,387,449,507,638,860,1164,1522,1727,1475,1109,1057,1041,1074,1103,1276,1513,1678,1660,1541,1135,1047,1072,1000,1158,1245,1462,1629,1536,1424,1102,1101,1117,1099,1069,1198,1553,1718,1685,1427,1230,1164,1202,1251,1199,1312,1614,1898,1998,1608,1306,1212,1199,1092,1200,1333,1832,1774,1741,1510,1236,1178,1101,1176,1121,1293,1491,1684,1642,1309,1147,1128,1102,1077,1147,1396,1719,1959,1885,1462,1217,1039,1091,1049,1032,1214,1511,1654,1680,1284,1083,1013,1067,1214,1104,1134,1430,1648,1396,1110,923,838,778,682,590,554,511,412,394,368,272,265,258,243,209,201,189,167,157,143,123,111,108,109,84,87,71,67,64,63,44,52,33,31,20,24,17]
[85,83,108,96,107,127,150,146,162,188,212,233,268,306,353,404,457,552,633,837,1060,1131,1065,998,906,917,989,957,1035,1205,1141,1238,1103,1031,1160,1030,963,964,1055,1231,1259,1293,1067,1036,993,1015,1000,1104,1151,1280,1413,1349,1111,1053,1108,1173,1084,1160,1279,1435,1591,1526,1306,1224,1113,1101,1182,1128,1241,1350,1500,1293,1396,1088,1053,1019,1026,1136,1214,1274,1320,1170,1114,1101,945,1056,1035,1078,1193,1353,1432,1332,1129,1072,981,1004,968,972,1075,1206,1215,1235,1015,1014,939,1013,925,1009,1046,1412,1204,1010,864,805,781,641,631,561,445,367,364,309,302,300,225,216,195,190,182,161,163,115,120,104,99,93,98,90,73,71,51,60,57,41,31,28,36,33,28,20]
[101,91,89,117,125,125,129,136,164,167,204,252,256,278,362,349,415,481,549,651,793,851,855,882,867,920,930,982,992,994,1054,999,968,935,960,950,946,1192,1007,1058,1073,1073,978,968,950,996,951,1075,998,1080,1116,1166,1078,1034,1033,1100,1118,1101,1121,1204,1234,1229,1121,1121,1095,979,1001,1063,1095,1144,1135,1258,1112,985,998,1213,1014,987,1078,1135,1034,1119,1050,929,975,915,1034,1004,1092,1102,1124,1050,1048,937,922,936,905,920,998,997,1009,1040,1007,943,915,959,936,920,933,881,924,842,911,681,659,583,547,470,425,435,341,305,278,239,203,181,161,181,150,161,141,103,102,109,105,82,68,85,70,66,45,45,29,51,47,27,29,35,25,23]
[78,85,80,113,108,111,98,117,139,160,155,180,230,274,286,330,368,412,486,560,614,639,745,731,805,757,839,764,819,902,893,901,808,856,846,774,857,863,838,926,1145,906,862,859,865,892,863,915,954,944,994,993,968,970,923,999,938,956,1010,973,1057,1016,914,964,968,945,969,902,905,978,996,985,956,906,895,913,913,1018,885,959,938,908,846,818,860,889,840,827,884,943,984,986,905,925,850,836,847,812,857,904,878,912,842,816,797,834,822,776,798,813,724,714,609,612,551,580,451,427,365,297,292,312,225,223,168,188,172,170,153,133,115,119,103,109,89,66,73,58,81,55,51,58,38,47,42,34,37,21,17,17]
[75,79,75,79,86,100,146,129,136,155,170,180,221,242,246,260,318,352,389,409,493,546,571,551,576,616,624,715,707,687,677,716,706,740,737,732,751,803,798,790,793,776,749,858,710,769,720,827,760,775,843,840,827,780,783,825,821,798,829,880,883,865,809,845,785,853,875,847,857,857,909,924,798,821,767,766,733,766,813,829,983,817,782,760,748,749,789,757,780,843,736,820,808,755,753,725,760,743,693,766,761,695,742,687,696,628,697,651,667,628,638,596,498,510,508,453,399,382,404,329,286,224,226,196,195,178,147,139,138,100,108,130,77,84,82,82,87,64,58,53,54,46,38,32,27,36,36,17,20,17]
[61,77,70,69,72,90,124,97,117,174,157,163,176,236,250,268,266,287,323,350,393,452,454,474,529,540,521,617,604,617,632,579,586,609,593,616,608,615,616,692,644,629,663,625,643,659,782,672,670,754,642,673,683,642,635,665,735,641,758,761,744,723,702,733,669,694,650,733,728,732,743,703,762,667,607,642,682,712,758,680,689,691,673,798,588,651,640,685,692,657,707,676,642,602,588,569,580,618,653,645,603,599,580,566,579,558,545,595,517,546,550,496,474,449,401,398,369,347,323,289,255,264,231,171,155,175,154,122,140,107,106,82,87,87,73,61,68,63,46,55,47,34,31,27,38,31,29,19,17,23]
[57,74,72,78,90,97,99,126,112,127,163,186,185,188,198,244,248,248,271,341,325,360,404,413,401,421,431,491,492,500,498,511,500,520,500,487,503,559,547,612,545,590,530,537,535,549,525,563,580,662,589,565,580,579,573,615,595,619,630,591,634,589,579,559,573,554,576,607,644,645,629,585,594,532,540,580,557,571,635,535,550,599,549,592,522,573,605,585,561,567,582,624,523,522,527,530,510,479,511,523,505,501,467,466,486,465,488,454,454,417,422,406,356,336,338,354,305,287,291,256,248,218,194,171,158,135,118,116,122,101,82,88,80,89,68,69,47,41,53,57,40,41,51,40,35,29,19,32,22,19]
[46,77,68,69,46,86,97,106,96,121,138,134,151,170,219,194,208,246,262,297,263,330,362,310,366,331,391,367,418,398,418,403,479,443,453,462,441,410,432,464,511,469,448,462,497,441,443,452,466,465,453,600,457,461,472,479,527,511,480,493,493,521,451,501,492,502,489,464,524,505,539,505,491,483,551,490,480,499,476,521,519,452,467,467,507,466,430,494,506,600,470,476,437,434,469,436,392,467,419,454,490,439,422,408,408,368,409,397,417,379,368,343,334,310,289,318,241,265,205,220,217,198,199,165,152,134,145,132,95,129,99,83,91,69,73,55,58,45,43,43,42,33,27,37,26,21,27,17,26,16]
[45,54,69,77,69,63,66,111,96,114,115,115,158,154,165,181,165,224,201,219,246,267,273,272,290,283,317,334,349,394,372,361,404,365,386,369,369,363,381,409,430,421,379,363,365,430,375,433,437,438,433,435,447,449,501,369,438,451,418,450,446,419,437,459,451,407,422,404,437,449,478,483,403,436,418,383,416,450,411,424,449,429,385,436,393,397,411,394,390,447,419,527,396,361,395,398,365,377,351,417,394,344,375,359,352,353,350,325,316,363,323,267,299,275,249,232,239,212,225,190,200,193,170,171,123,131,112,105,112,113,80,81,69,69,67,55,48,55,39,42,41,35,28,27,29,22,21,19,25,20]
[59,68,40,74,74,80,82,109,98,110,123,127,117,149,140,161,176,150,185,189,267,225,239,250,229,263,287,291,299,311,313,319,333,323,313,329,344,400,324,361,354,351,369,347,386,352,374,369,342,363,362,388,386,385,379,354,357,387,399,397,404,415,353,410,390,402,373,368,418,390,400,372,378,358,387,384,350,349,379,386,380,378,352,363,336,350,322,376,337,371,341,336,372,398,447,370,318,359,322,334,333,299,332,285,314,333,312,260,284,324,248,279,229,213,201,223,210,206,196,181,174,173,146,174,130,121,103,109,84,103,87,71,74,71,61,55,49,42,39,46,32,33,26,30,24,27,24,25,23,15]
[51,50,46,61,50,77,69,81,96,96,91,86,112,126,146,139,117,155,158,188,199,195,224,224,258,222,267,264,239,273,267,288,300,274,290,306,288,288,316,292,288,310,330,308,303,290,322,327,297,308,315,340,345,283,293,328,319,321,309,322,429,312,322,323,335,302,319,322,289,306,317,333,351,331,313,292,325,319,326,357,321,333,313,318,319,298,280,314,310,325,289,324,298,298,285,288,249,343,284,303,302,289,273,258,268,271,255,232,232,228,244,222,237,189,190,186,196,188,160,163,150,150,142,136,137,105,116,100,93,113,86,78,66,59,69,29,48,42,31,43,34,36,23,32,27,23,16,11,16,12]
[45,55,70,54,60,52,62,67,62,89,104,99,118,95,108,111,118,123,111,134,187,174,173,199,199,185,185,185,273,224,262,247,241,259,289,256,245,280,307,254,289,309,309,249,269,274,259,275,263,291,295,292,310,264,287,270,267,274,294,258,281,301,251,256,292,268,337,307,318,279,309,273,306,294,263,231,264,269,265,286,293,299,310,271,249,269,249,270,286,269,295,283,259,275,275,260,250,243,262,261,282,233,232,270,224,231,271,227,234,215,242,215,196,206,179,156,162,156,157,125,147,147,114,135,108,109,100,74,83,67,81,70,57,62,62,52,42,33,27,30,38,29,35,32,18,21,21,17,21,15]
[44,51,49,54,52,49,55,71,77,82,89,91,82,104,112,121,131,102,123,134,140,170,174,172,168,171,190,176,180,184,235,275,220,215,208,225,205,249,253,262,255,246,252,249,239,198,224,253,255,245,262,254,274,297,235,248,244,227,241,256,253,274,257,228,240,242,245,232,261,324,293,271,249,285,245,228,221,258,244,246,237,234,279,226,251,229,234,213,241,263,262,264,251,248,232,209,211,228,217,218,206,224,217,191,223,204,224,197,194,216,172,209,158,171,154,176,144,175,145,141,144,120,111,91,94,87,82,70,74,76,62,66,59,49,50,49,30,41,34,34,37,37,34,43,16,20,14,17,19,8]
[41,52,39,54,60,58,42,54,68,64,65,92,91,79,81,92,95,96,133,106,128,132,155,163,153,155,157,170,178,182,188,203,226,217,225,180,202,204,210,206,229,224,232,234,188,223,205,234,254,225,230,253,245,225,227,228,238,225,227,254,228,261,227,245,220,210,234,230,234,225,236,275,229,227,220,202,219,218,229,228,233,250,216,219,214,214,221,221,244,194,212,234,252,234,207,207,179,211,228,197,198,194,205,191,204,209,180,189,186,237,168,172,167,173,127,124,123,143,133,138,114,104,117,103,84,86,87,85,76,81,59,67,58,45,43,45,38,21,30,42,36,33,20,24,16,16,12,7,14,13]
[32,45,48,39,58,54,56,61,62,58,73,94,73,79,93,105,107,110,107,118,133,122,131,126,128,157,129,172,144,157,167,171,166,175,181,178,181,164,180,189,190,181,196,188,185,192,187,191,259,228,174,203,212,200,200,197,212,215,207,225,216,206,229,185,201,188,209,207,218,186,196,192,227,221,175,189,194,208,197,209,201,199,181,198,170,183,220,205,192,217,198,195,203,172,190,190,177,170,165,166,186,206,200,186,160,169,161,148,146,173,135,168,159,146,141,144,125,124,124,107,90,125,82,109,84,74,73,68,56,55,62,56,53,38,59,33,39,32,31,27,30,24,20,20,28,19,14,11,9,12]
[35,41,43,41,54,60,45,57,32,55,65,75,66,76,88,88,103,93,87,85,109,120,108,121,113,124,138,140,117,114,140,171,168,162,151,172,155,176,169,168,157,178,188,165,165,163,179,198,180,183,192,262,199,186,176,185,176,169,188,183,193,184,170,174,182,196,180,193,199,165,171,178,208,171,184,160,142,169,182,184,176,184,191,182,184,176,171,183,194,201,140,188,165,139,146,161,163,161,156,171,156,156,159,165,136,157,134,133,144,143,132,124,133,121,107,130,96,83,95,87,89,79,89,75,65,75,96,79,68,67,55,47,55,46,48,37,34,22,35,28,29,24,21,20,19,18,12,18,13,15]
[27,45,34,30,44,42,58,42,48,45,57,63,78,76,69,69,79,94,86,85,80,94,85,99,98,94,118,123,131,124,129,127,128,130,150,141,146,126,143,168,170,149,161,132,175,184,127,142,156,156,170,164,157,165,187,154,158,165,168,154,163,164,179,179,153,148,171,146,179,150,181,167,178,151,157,144,153,172,152,151,158,168,131,189,151,149,155,152,165,167,160,198,158,156,119,157,127,137,142,142,123,114,139,144,128,112,111,124,117,117,112,119,105,120,100,90,90,87,101,79,83,75,67,78,72,59,58,49,47,79,53,57,32,40,36,35,34,29,44,30,29,22,26,17,19,21,16,16,12,7]
[28,31,32,39,41,36,37,55,58,59,45,46,56,61,55,56,60,82,60,90,88,88,92,78,105,104,102,103,110,103,113,119,135,123,135,113,122,118,159,138,120,132,142,140,124,112,152,167,140,160,133,123,120,145,143,134,141,166,138,155,145,138,160,133,144,160,158,141,128,152,142,137,137,131,145,130,134,120,130,140,121,146,124,127,140,132,148,109,151,136,130,122,112,132,178,114,132,112,135,112,124,135,117,121,118,116,114,112,106,120,98,116,81,120,87,91,85,85,74,84,78,72,79,66,59,62,69,62,62,46,62,43,60,38,40,36,35,38,26,24,26,23,25,18,12,15,11,13,17,15]
[33,37,42,31,33,35,37,49,43,46,51,48,49,54,47,64,65,74,64,76,81,80,105,85,80,95,82,95,98,88,114,100,116,112,103,112,101,104,127,127,116,141,130,126,103,136,108,115,133,127,124,137,121,120,127,116,125,118,118,131,167,120,114,149,114,130,137,129,130,103,120,126,121,122,121,116,138,140,112,94,116,127,126,122,119,108,127,118,101,123,127,122,116,107,119,111,122,154,120,115,112,114,109,88,90,111,95,91,76,98,96,93,75,91,87,92,75,78,91,67,82,43,66,62,41,62,52,51,44,36,49,49,40,35,45,40,40,30,25,26,28,16,16,13,14,13,15,9,8,11]
[16,48,31,34,28,45,37,42,39,39,34,53,56,54,64,54,41,61,70,70,59,68,69,87,79,74,83,74,85,85,81,93,90,76,105,91,105,105,118,88,113,97,108,120,94,123,112,123,115,124,125,110,117,111,119,128,84,116,115,105,125,107,139,121,138,109,116,109,103,139,114,118,112,117,109,107,136,111,107,99,112,84,89,92,119,95,101,117,108,104,115,112,95,111,110,120,94,96,99,121,126,99,104,83,97,84,82,89,66,84,92,85,85,71,67,84,59,57,73,70,49,64,56,51,51,39,49,39,51,31,35,47,27,36,30,30,25,26,21,20,14,25,14,19,14,12,15,5,13,10]
[21,26,25,28,36,35,35,30,47,33,37,50,46,41,47,43,62,57,42,62,72,52,58,64,62,59,66,89,99,82,72,84,99,80,91,97,84,90,105,102,96,104,101,99,103,96,80,103,94,110,99,95,98,86,122,125,94,96,104,104,116,94,98,97,95,134,91,111,104,117,101,106,117,105,93,105,92,113,99,87,107,82,99,108,104,95,122,88,96,109,79,111,111,97,91,101,100,98,101,119,98,90,101,103,81,81,110,82,84,56,64,70,76,71,70,48,61,54,60,46,56,48,51,55,57,48,37,39,52,32,46,35,31,49,42,36,29,27,21,23,27,22,20,18,16,9,12,14,15,14]
[29,40,24,22,29,32,33,28,31,39,32,38,48,40,46,46,61,51,64,52,63,59,78,62,52,68,52,54,69,73,96,75,77,76,77,84,74,93,87,72,80,101,76,98,80,94,69,92,88,83,100,92,93,90,83,88,96,105,108,107,94,109,99,103,95,93,100,105,118,99,110,111,99,77,90,82,106,84,84,96,72,85,85,90,92,83,91,82,97,83,86,86,86,76,77,84,90,101,82,73,96,85,85,67,71,88,71,68,63,74,61,81,62,56,63,57,55,47,51,43,47,53,46,48,47,43,43,38,47,45,41,19,36,26,27,20,23,31,19,25,21,20,17,19,12,8,14,10,13,7]
[25,31,31,28,33,33,33,29,35,27,31,31,40,38,32,43,47,36,41,50,55,53,49,54,63,39,56,53,63,69,74,73,81,76,85,71,79,89,93,80,83,80,71,67,79,74,79,95,68,73,72,76,77,95,98,76,72,90,94,89,75,79,90,81,86,84,76,80,71,81,75,104,67,78,65,84,78,80,76,90,93,82,76,88,85,53,90,70,70,61,70,76,81,83,81,83,78,86,74,71,71,69,65,68,70,60,66,58,63,58,49,71,60,51,56,43,47,49,53,30,44,42,46,46,43,40,42,36,41,38,27,24,30,30,32,28,27,18,16,21,23,20,18,21,22,8,18,9,15,7]
[21,12,22,22,22,28,30,25,28,21,39,30,28,41,28,33,38,45,35,47,44,52,42,50,39,54,39,66,53,58,65,79,56,47,66,41,88,78,67,78,81,59,89,60,73,81,74,68,82,90,62,73,96,79,80,71,75,84,83,74,67,67,81,78,77,77,66,60,79,67,70,92,76,81,66,68,87,84,80,70,68,83,68,73,71,79,65,79,57,56,61,78,62,72,63,62,64,63,57,68,48,67,46,69,63,62,63,58,73,46,55,43,37,64,47,54,51,39,43,50,42,36,41,38,40,30,35,33,37,31,26,20,28,21,22,19,20,13,21,16,12,10,17,18,19,9,16,16,15,9]
[22,25,24,19,21,19,31,28,33,23,30,38,26,48,32,42,38,31,44,37,38,45,38,46,58,54,47,52,60,54,60,69,53,55,64,61,68,63,68,61,77,61,61,55,61,61,69,71,59,76,75,60,68,80,76,57,71,69,67,75,67,53,63,82,71,67,63,66,83,71,64,62,68,62,77,74,63,84,82,78,65,77,70,70,65,56,68,56,50,69,63,63,71,79,60,70,65,67,56,74,60,58,69,58,45,62,62,66,58,50,62,51,44,55,46,37,51,38,43,47,41,43,38,31,39,26,30,35,24,24,22,31,29,26,32,22,17,19,10,14,8,19,15,12,8,9,10,8,4,16]
[17,16,19,19,27,16,20,19,35,20,31,40,24,36,33,32,42,39,39,44,35,33,49,41,38,47,42,55,49,55,53,43,58,61,52,58,59,54,56,49,67,65,71,53,61,55,59,62,54,54,57,57,67,44,47,51,48,63,60,77,56,62,69,54,59,61,61,56,64,61,51,60,57,63,51,56,58,48,63,67,59,66,66,67,57,55,48,49,72,69,52,46,62,70,54,47,55,59,55,59,54,53,56,61,43,48,53,42,32,52,39,55,43,31,42,50,59,38,35,34,36,36,29,36,30,29,28,33,25,27,20,21,29,20,21,22,25,13,21,9,11,20,9,15,8,9,17,15,11,7]
[13,26,15,17,17,21,24,14,19,31,28,29,26,35,37,32,25,27,32,35,35,35,35,30,35,50,37,37,41,41,54,50,42,43,43,47,57,56,48,52,44,49,47,49,64,60,49,49,53,49,59,35,57,68,76,52,48,62,53,46,57,54,47,59,49,59,59,63,49,49,57,51,59,55,66,51,52,40,44,39,52,62,60,44,53,57,44,45,38,66,44,37,47,56,48,42,46,44,38,46,46,49,46,36,45,37,39,36,24,36,40,41,40,38,36,41,29,36,54,36,31,40,12,35,27,27,20,33,23,18,28,15,17,22,25,15,24,15,16,16,7,18,11,15,13,13,8,11,10,8]
[17,23,19,21,21,25,18,17,15,22,21,24,23,23,29,30,30,29,24,22,44,33,23,30,36,34,35,40,46,47,39,40,51,41,35,47,42,41,56,51,34,51,54,32,56,38,51,48,43,51,51,54,58,49,49,51,43,58,50,53,38,45,47,44,58,56,79,56,56,52,41,57,43,48,51,52,37,39,50,46,46,56,51,57,40,51,44,54,46,45,45,45,49,47,37,39,36,46,46,38,35,47,40,42,30,45,33,51,34,33,33,46,29,49,36,35,34,29,29,31,26,25,22,37,33,26,19,22,27,19,22,30,22,19,19,14,20,19,13,19,16,18,9,9,10,17,10,10,9,11]
[16,16,24,17,21,28,17,26,26,14,25,26,19,33,24,25,23,28,32,20,31,47,37,27,35,31,41,38,30,26,36,40,52,38,39,44,29,46,43,39,49,42,52,38,54,49,45,61,43,36,52,37,38,50,51,33,38,47,43,52,45,54,56,40,54,47,40,38,40,57,53,42,48,54,49,45,53,36,41,47,41,43,43,59,32,39,41,47,35,37,39,41,38,38,44,35,43,39,42,30,46,37,41,32,34,33,40,29,38,39,28,32,26,40,24,30,26,27,29,25,24,20,25,27,23,25,26,23,12,24,22,11,16,17,13,11,18,26,17,10,7,14,7,17,11,7,15,15,13,10]
[17,13,20,14,22,19,22,22,26,23,19,15,26,24,21,35,18,24,33,24,26,25,23,34,34,25,32,33,23,21,32,33,50,36,37,39,45,46,31,28,41,40,38,39,38,50,37,38,43,30,35,55,50,41,42,45,50,40,59,41,29,44,49,50,39,46,40,41,29,23,29,47,39,44,43,38,33,37,41,33,33,43,39,36,39,32,39,35,35,41,51,41,38,43,44,41,40,42,35,37,34,41,29,37,36,38,26,23,30,36,23,35,39,31,22,29,24,27,21,30,32,15,29,25,26,22,25,21,17,26,11,19,14,18,20,17,11,9,12,19,11,17,12,13,8,9,10,10,8,12]
[12,20,19,21,18,23,16,16,19,21,20,14,19,17,28,16,20,18,22,21,27,34,29,31,21,27,36,28,35,29,43,32,33,41,31,37,39,26,30,36,36,41,38,37,34,36,49,45,42,38,35,40,43,44,36,35,42,20,35,45,40,42,37,40,35,37,50,40,37,40,38,41,32,36,29,26,28,31,40,25,39,43,33,40,41,45,38,23,39,33,26,43,40,29,35,31,32,31,38,34,34,31,22,35,27,35,21,38,25,28,21,30,24,23,23,22,35,27,27,21,37,30,19,20,20,26,26,13,13,18,17,17,12,11,20,13,7,18,10,11,9,10,16,8,12,10,5,4,4,4]
[15,19,18,12,11,20,13,14,11,18,22,22,15,23,26,23,20,27,21,20,26,22,17,17,29,17,26,21,29,26,28,24,29,25,20,31,31,36,26,34,31,35,36,37,34,28,36,27,34,31,38,47,39,38,39,45,31,39,44,41,34,29,47,25,34,40,51,37,31,38,33,40,37,31,46,34,42,39,32,33,27,32,26,33,28,29,41,21,33,32,34,44,32,38,29,42,37,32,27,32,31,29,28,27,28,31,21,32,22,30,23,30,30,26,17,26,23,20,21,16,21,17,15,23,19,17,16,12,13,16,10,14,12,14,17,15,12,11,8,9,15,8,6,4,5,7,8,6,4,5]

{"sheet":"Figure_1D_layer_7","index":7,"n_rows":150,"n_cols":150,"rows_kept":150}
[4,7,12,8,10,7,9,9,4,3,4,5,7,5,9,7,11,8,5,5,13,7,12,12,21,20,37,28,31,36,29,40,35,46,49,59,73,50,69,80,55,61,64,74,79,77,86,86,85,78,87,85,111,101,104,92,103,116,91,107,114,100,110,109,104,118,118,134,115,103,95,130,126,110,119,159,101,115,114,140,120,131,121,136,128,123,122,135,122,130,142,129,122,139,132,129,132,121,123,137,125,120,124,142,117,120,134,101,130,95,130,123,138,116,120,128,106,105,107,120,100,94,109,99,117,92,91,97,82,86,80,72,55,75,65,60,74,53,53,43,32,55,41,44,30,49,38,30,34,37]
[4,6,4,4,5,8,7,8,10,6,8,7,7,9,6,15,15,8,10,10,7,12,18,29,32,22,26,39,45,45,44,43,46,58,63,65,64,73,78,90,85,98,96,109,116,108,94,115,98,113,106,114,114,110,119,113,120,134,132,133,116,115,118,103,122,155,124,121,121,148,141,134,128,131,129,127,151,137,162,134,108,130,153,123,145,148,156,127,120,139,152,134,125,138,158,140,107,136,136,141,136,120,142,119,134,112,123,119,132,108,133,140,143,121,139,155,136,118,141,127,112,112,102,98,99,126,94,78,88,82,79,71,79,78,75,71,73,64,51,59,55,57,38,37,47,45,33,34,35,38]
[8,3,8,6,5,7,3,7,6,6,5,5,6,10,5,7,9,17,7,12,17,23,25,30,32,38,42,47,56,41,60,54,75,65,66,79,81,82,79,86,88,108,99,131,111,108,127,117,115,113,130,133,137,127,119,151,135,140,141,147,133,128,157,133,134,176,125,140,150,136,148,150,171,161,157,158,161,160,184,172,192,157,154,140,143,170,153,156,146,144,146,151,168,153,155,153,176,161,139,141,155,148,156,159,172,138,150,167,153,164,140,152,160,152,139,147,153,126,168,123,140,126,116,104,126,115,100,93,111,88,88,91,83,75,75,66,66,74,59,54,48,53,53,45,41,48,47,41,29,36]
[3,3,6,10,11,4,7,11,5,6,13,6,18,8,16,10,20,16,17,20,27,15,30,24,33,29,44,56,51,46,43,70,71,79,87,90,96,92,84,102,121,102,120,126,146,126,163,159,128,142,129,158,182,160,139,148,145,149,155,154,161,170,191,156,169,191,164,150,170,180,170,154,163,160,191,163,163,147,184,138,164,177,186,193,198,169,179,165,146,195,190,185,177,175,183,198,178,159,173,167,210,181,169,184,179,177,155,144,160,183,157,153,167,161,171,170,162,132,158,155,144,178,129,120,153,124,121,127,115,107,84,90,105,101,103,78,84,80,54,56,70,57,52,57,52,38,45,29,32,28]
[11,4,8,8,3,10,2,8,7,13,4,9,7,14,12,10,13,10,23,21,17,28,43,32,49,55,71,67,73,69,79,59,87,93,107,78,111,89,88,102,117,137,138,127,119,141,139,129,159,160,141,147,151,154,168,171,146,154,171,175,175,196,170,155,182,176,173,180,172,188,172,184,202,193,180,186,199,169,188,183,218,208,220,182,197,198,238,184,184,190,197,206,190,164,200,170,199,194,215,176,196,192,188,183,194,194,188,187,164,176,176,137,177,148,163,178,166,173,164,156,147,131,130,171,138,122,145,109,113,126,110,111,102,99,95,78,73,75,70,60,59,70,48,42,39,49,50,46,39,37]
[5,6,7,5,6,9,5,8,7,10,11,11,9,4,10,11,16,21,30,26,35,34,36,57,42,49,62,69,77,81,80,89,107,110,118,115,118,112,127,142,152,141,149,160,172,145,157,173,176,169,181,179,235,165,171,185,196,207,196,192,171,186,174,204,209,224,187,178,216,229,203,234,225,241,215,223,222,205,209,222,247,233,205,212,219,213,241,204,235,254,246,233,214,233,219,203,194,205,206,217,199,213,223,216,190,227,187,204,189,204,192,198,191,214,191,167,165,165,177,183,180,139,162,141,142,167,162,134,128,120,149,118,110,96,84,95,85,79,72,74,52,50,57,61,54,46,53,52,48,32]
[2,4,1,4,3,11,8,9,4,9,9,11,13,9,17,13,25,30,23,31,36,42,43,63,60,84,74,88,95,82,97,112,118,123,119,109,156,146,152,173,147,159,184,204,192,173,186,187,205,197,198,199,195,185,189,245,205,203,196,236,247,217,216,243,239,208,242,223,222,227,228,218,232,224,229,243,245,228,246,229,241,225,210,237,242,215,243,222,242,249,251,216,282,245,232,226,232,223,226,233,230,262,221,207,234,249,206,230,221,229,228,203,209,230,222,192,198,197,180,202,199,201,171,162,159,169,157,146,135,135,155,112,111,101,97,108,94,75,84,80,68,55,59,52,54,51,38,40,31,46]
[4,2,8,12,7,11,9,10,6,13,18,18,18,12,12,26,27,32,27,40,37,47,55,77,76,87,98,97,118,129,129,105,141,149,176,164,177,191,162,202,200,187,193,201,227,192,221,182,196,202,210,230,227,283,267,236,265,258,233,252,268,243,276,258,249,274,267,256,261,241,284,280,251,282,271,264,292,265,242,274,235,249,291,270,242,235,272,258,268,276,265,313,245,261,253,246,249,246,265,276,241,280,246,252,240,221,222,254,253,274,225,217,226,209,232,230,227,208,228,186,194,172,195,165,159,161,161,146,172,131,149,124,105,131,97,105,90,99,82,80,53,62,57,61,55,65,38,36,28,45]
[5,3,2,4,11,6,6,7,7,10,10,9,17,25,28,29,34,32,42,52,40,55,71,80,88,79,87,101,118,146,114,124,144,171,149,175,199,175,202,200,207,238,209,223,233,233,246,243,234,249,248,250,244,265,250,265,327,258,267,254,275,279,282,277,288,297,269,300,287,300,320,284,307,305,277,295,281,286,314,284,284,304,256,291,277,291,277,272,299,304,309,266,299,273,310,277,272,267,298,263,273,270,282,282,309,288,287,263,316,255,260,250,270,254,257,238,231,264,250,216,209,214,229,222,209,210,197,164,174,154,150,168,125,122,119,104,108,116,75,88,75,63,61,69,61,55,59,54,62,40]
[4,2,11,5,9,11,17,8,10,8,22,10,22,29,34,17,35,39,44,50,56,65,75,91,112,99,123,129,112,128,138,149,171,191,180,200,179,219,232,230,229,256,231,251,249,270,293,288,290,272,286,267,269,282,286,318,291,294,298,308,406,293,310,296,305,351,311,320,313,305,290,307,291,318,316,366,312,313,335,333,308,369,316,297,334,359,328,329,314,378,318,284,304,309,327,315,341,401,288,323,317,285,309,311,327,294,318,289,294,296,302,277,276,252,269,268,294,256,257,256,296,237,233,229,231,241,215,184,184,187,158,169,150,126,145,131,102,107,101,93,72,65,59,72,58,44,63,60,43,32]
[3,3,9,9,10,11,16,7,13,13,14,24,17,20,35,31,46,38,54,55,65,61,85,100,119,147,152,142,157,150,170,172,184,227,192,243,235,242,261,269,288,234,269,288,284,300,261,288,285,307,289,295,274,323,327,319,333,320,309,344,361,340,323,413,308,343,336,321,326,372,357,337,331,335,359,368,341,338,360,353,332,338,365,331,358,358,371,407,346,404,331,363,325,360,364,330,368,319,338,383,430,327,313,329,370,355,351,353,324,312,319,353,315,263,291,297,310,308,267,267,239,251,226,232,207,205,215,200,203,152,158,157,159,159,130,122,120,129,102,87,96,80,75,69,77,67,63,51,54,36]
[5,7,7,6,10,5,10,15,11,14,16,18,22,29,41,47,32,53,54,77,73,94,92,115,111,126,158,137,186,197,173,211,201,233,239,295,301,295,260,301,328,291,289,304,329,328,327,326,321,343,356,324,358,330,362,333,385,364,362,385,365,363,345,370,374,391,492,402,429,387,381,394,398,376,370,417,429,421,392,397,384,370,388,403,403,330,398,404,360,386,392,375,405,358,321,365,382,383,375,383,378,391,376,400,346,366,376,377,364,338,370,355,338,316,328,324,309,303,287,296,288,250,295,278,216,253,226,206,191,183,190,174,193,154,156,128,111,112,119,83,88,98,59,76,65,63,56,59,38,49]
[4,13,10,7,14,14,11,12,20,11,18,23,28,39,41,46,56,66,52,70,87,88,120,122,137,138,164,188,158,223,215,254,202,242,275,292,271,312,322,377,346,349,335,347,337,324,343,370,368,378,402,385,403,399,378,414,382,451,418,426,387,429,430,425,387,436,427,412,414,524,398,447,401,466,460,445,405,443,413,422,457,458,446,433,428,397,457,416,474,423,450,411,452,441,414,460,404,436,418,417,390,420,421,412,398,427,495,359,430,375,371,349,394,347,387,362,338,335,334,315,332,290,302,297,268,273,230,225,198,186,188,205,179,179,152,132,125,136,110,108,97,70,74,96,70,63,78,57,53,54]
[12,6,8,7,8,14,14,20,10,19,26,26,43,40,52,38,46,84,84,96,107,104,138,128,148,149,181,226,223,262,255,254,250,276,349,323,339,378,331,392,362,387,407,393,399,404,406,418,406,390,438,459,393,434,435,434,455,464,468,468,426,466,464,465,433,485,456,449,491,509,487,592,446,470,482,502,478,500,497,527,484,491,496,496,467,507,443,466,462,462,462,489,473,487,445,414,459,434,474,436,432,444,448,479,429,456,418,433,463,534,455,414,420,379,391,397,399,389,366,369,377,333,336,299,303,277,250,256,255,222,220,208,178,165,188,134,150,103,111,115,129,109,85,95,80,71,90,65,70,57]
[12,10,9,7,12,17,16,16,23,15,31,30,34,47,60,66,55,80,98,117,125,127,156,145,172,196,214,215,256,266,284,269,319,354,333,385,366,493,420,416,439,483,413,453,444,452,437,493,458,463,469,487,467,486,531,518,504,545,497,487,493,510,535,517,512,546,548,526,524,552,548,510,547,537,624,529,551,560,522,506,552,506,548,543,530,559,525,540,562,563,492,524,528,527,498,518,514,509,523,502,522,497,508,490,475,484,457,462,482,465,494,439,582,440,459,440,417,412,395,399,395,395,370,339,328,348,323,278,291,256,244,242,226,188,190,167,166,147,129,113,121,117,96,97,115,102,69,78,64,69]
[6,8,15,6,11,17,17,21,19,19,32,47,35,48,59,62,74,84,108,111,121,132,172,204,205,239,247,264,281,301,307,325,322,389,423,406,425,445,480,454,526,481,469,507,511,471,534,550,498,537,520,564,520,510,530,584,603,561,554,584,558,579,567,533,515,549,582,557,559,531,591,597,560,600,589,544,585,683,569,631,576,609,580,589,565,531,545,566,521,555,536,563,545,551,596,566,602,580,580,532,562,532,550,534,581,544,482,539,549,515,512,491,458,536,580,471,470,467,477,464,426,436,374,354,368,351,311,284,267,267,271,231,194,179,188,157,177,147,139,134,125,91,111,109,78,79,97,87,78,64]
[7,10,12,16,18,22,14,25,43,32,36,42,60,58,64,94,107,106,124,137,134,139,195,208,226,248,269,271,314,362,338,397,366,385,399,428,500,513,530,520,560,551,525,541,519,563,605,557,600,581,600,599,690,569,578,622,561,665,620,659,673,623,611,570,652,617,632,652,664,613,678,618,639,656,632,660,605,650,618,694,671,628,594,634,640,614,661,618,644,632,763,666,594,601,675,602,597,603,642,617,585,609,590,600,591,619,580,566,586,616,527,551,510,525,501,534,491,491,505,475,471,432,433,397,396,405,359,419,334,305,288,254,223,214,196,189,190,183,152,166,141,133,133,102,78,77,75,80,82,60]
[13,10,9,9,14,18,13,23,24,30,45,54,55,74,84,105,88,115,157,160,170,190,214,209,250,272,320,329,343,386,383,404,438,444,488,469,548,567,503,603,637,594,591,566,552,623,613,636,625,612,666,644,632,589,642,843,654,685,660,677,692,668,757,684,683,701,727,672,711,675,716,733,767,701,698,711,732,730,731,681,713,772,657,669,654,687,700,730,703,686,670,722,688,791,683,708,703,598,647,688,653,670,723,665,659,660,618,638,643,591,614,640,579,533,599,584,572,544,528,509,483,490,431,438,415,402,413,331,298,318,353,307,254,211,257,192,175,199,171,145,112,127,135,102,91,107,84,89,79,65]
[6,21,17,16,21,20,20,25,31,43,47,62,66,84,83,120,113,128,147,165,208,242,241,265,321,349,342,354,365,467,393,486,464,489,535,550,616,613,660,621,587,633,700,609,677,667,679,730,680,719,700,740,710,707,728,768,744,709,913,766,782,729,731,734,756,785,749,759,803,809,791,788,791,751,767,774,799,797,779,801,825,804,781,794,749,751,851,781,764,730,754,738,711,736,781,914,757,784,774,694,699,747,693,706,693,727,683,664,724,668,683,636,669,603,648,589,631,589,597,566,528,491,476,507,432,431,381,402,343,335,327,291,269,293,202,226,198,192,135,147,134,148,130,116,98,93,104,71,89,61]
[12,13,15,20,25,19,26,34,35,41,51,60,89,84,102,119,126,146,167,183,195,232,239,275,388,353,401,393,443,456,470,542,545,539,599,589,666,659,710,677,723,735,684,701,737,789,753,763,763,798,801,720,777,752,758,846,860,856,854,785,894,945,835,775,777,804,875,894,856,804,834,787,878,783,794,854,841,839,832,802,809,822,826,852,832,894,820,862,827,828,815,769,750,768,771,830,811,830,939,810,791,763,758,749,770,782,792,781,746,729,746,693,739,665,684,712,709,662,619,592,600,553,562,532,507,473,461,405,378,343,321,312,289,257,270,214,248,196,179,150,150,128,110,128,104,104,80,84,88,65]
[17,20,15,24,21,28,27,33,45,52,58,62,78,105,105,136,156,163,193,213,258,255,294,319,345,391,512,403,503,532,568,563,561,626,665,726,713,738,732,813,791,764,762,761,785,797,925,808,819,820,911,811,860,819,870,886,856,848,965,865,869,986,885,1013,895,938,925,917,913,928,913,887,888,886,927,905,870,906,931,969,909,899,914,867,952,944,947,903,902,893,931,871,881,869,843,887,906,904,906,811,1058,835,802,851,825,882,824,886,822,790,811,743,714,744,732,775,728,695,705,627,624,621,617,525,547,507,467,485,423,380,363,330,331,269,244,237,211,204,239,166,141,137,127,117,119,101,89,80,97,69]
[16,14,19,20,17,26,36,38,33,51,71,61,67,93,110,128,146,176,220,235,245,309,336,386,376,450,469,551,638,565,626,602,677,651,752,783,787,815,824,879,897,835,846,887,843,927,937,975,881,919,962,988,940,935,944,910,976,1038,1015,963,1007,959,958,967,957,986,1207,975,993,1019,991,985,1017,964,963,971,990,972,1001,1008,984,993,952,1006,1030,974,1048,953,955,975,936,926,936,949,933,942,975,969,972,957,876,893,892,1034,913,877,922,878,856,904,867,845,785,800,792,790,739,773,744,676,703,663,621,633,587,518,485,462,432,399,379,361,335,299,292,254,226,215,184,169,210,165,127,135,114,107,123,94,78,74]
[18,26,27,21,31,26,39,44,57,50,60,87,79,102,142,161,175,229,250,230,311,346,345,397,445,520,534,574,600,634,636,892,729,758,819,891,832,878,917,986,898,958,920,925,949,983,1079,1013,973,1034,987,1047,1070,1028,1033,1061,1063,1091,1057,1120,1102,1084,1080,1039,1109,1113,1086,1105,1058,1312,1107,1028,1115,1023,1094,1132,1088,1053,1064,1052,1089,1097,1081,1065,1048,1012,1103,1087,1039,1041,1101,964,1064,976,1064,1080,1071,1082,1028,1045,1052,1014,1074,1023,997,993,1203,982,992,1013,966,933,900,907,908,913,892,797,766,778,759,677,659,599,626,549,554,430,466,430,392,378,339,315,294,280,247,205,188,188,188,143,161,164,116,121,103,86,88,91]
[14,23,16,25,35,39,42,37,50,71,77,84,84,115,134,179,184,224,299,276,325,370,460,498,480,544,591,683,696,721,720,788,823,1022,877,944,1031,1005,1044,1061,1021,1022,1033,1049,1073,1029,1063,1111,1125,1161,1086,1141,1161,1113,1067,1104,1183,1180,1150,1201,1194,1119,1153,1183,1120,1240,1215,1171,1307,1250,1411,1169,1171,1175,1196,1205,1102,1204,1165,1137,1210,1131,1236,1177,1090,1195,1162,1145,1159,1158,1075,1138,1192,1242,1184,1061,1106,1145,1123,1212,1077,1078,1049,1076,1094,1019,1000,1109,1132,1106,965,1000,1025,1032,971,949,889,921,890,824,810,771,730,666,611,617,557,510,490,412,459,417,368,326,305,275,261,241,248,218,175,159,171,158,153,135,124,112,71,92]
[18,23,35,31,42,49,47,52,58,63,79,82,106,112,136,163,198,223,292,305,350,459,433,515,593,603,672,716,770,791,854,910,896,940,992,1040,1263,1068,1114,1081,1093,1071,1130,1203,1203,1112,1136,1178,1219,1180,1180,1268,1293,1254,1203,1286,1261,1265,1262,1266,1276,1197,1212,1274,1272,1257,1273,1324,1341,1305,1223,1276,1313,1637,1390,1325,1323,1347,1290,1293,1265,1284,1226,1270,1246,1329,1240,1260,1296,1204,1260,1234,1220,1168,1245,1265,1268,1156,1248,1241,1170,1180,1200,1166,1191,1253,1199,1176,1153,1156,1332,1114,1077,1088,1136,971,1011,993,960,912,887,851,769,737,712,652,626,589,495,478,467,387,379,343,323,335,265,237,209,215,214,169,176,175,155,136,133,116,125,89]
[19,20,25,30,26,25,37,46,62,65,74,89,88,132,148,171,206,209,274,420,391,423,538,580,611,708,775,803,906,949,943,976,1050,1146,1202,1218,1293,1226,1261,1206,1206,1159,1227,1266,1266,1315,1329,1370,1322,1379,1281,1348,1343,1351,1363,1408,1665,1478,1376,1345,1367,1333,1348,1361,1498,1499,1482,1491,1381,1452,1445,1381,1437,1420,1472,1437,1431,1470,1418,1381,1405,1350,1305,1332,1402,1362,1338,1352,1389,1346,1248,1331,1330,1370,1632,1321,1352,1377,1362,1320,1305,1295,1307,1231,1325,1286,1365,1277,1308,1212,1187,1208,1191,1176,1217,1154,1146,1098,987,992,922,918,899,834,795,720,664,583,529,467,481,495,396,352,330,302,298,226,240,222,224,176,183,164,167,156,145,104,111,100]
[14,23,26,30,27,28,47,54,79,86,89,97,125,132,180,204,238,266,300,376,400,471,559,657,747,965,916,1004,1046,1096,1083,1061,1161,1262,1325,1380,1469,1446,1352,1465,1414,1375,1377,1410,1412,1403,1493,1588,1556,1457,1580,1569,1454,1530,1528,1536,1579,1636,1590,1547,1533,1526,1854,1582,1527,1543,1547,1690,1619,1619,1554,1623,1543,1635,1624,1655,1630,1685,1588,1643,1560,1521,1500,1594,1668,1609,1685,1559,1616,1577,1527,1458,1488,1522,1544,1453,1539,1527,1548,1754,1413,1446,1404,1467,1479,1515,1523,1499,1480,1454,1425,1438,1402,1319,1324,1375,1350,1247,1192,1098,1043,928,902,886,865,786,693,642,617,548,503,427,388,374,338,322,329,328,254,240,207,178,181,184,144,140,146,121,119,75]
[23,32,24,40,44,40,46,64,84,71,107,120,113,149,149,209,242,284,339,345,428,516,626,707,833,918,1079,1170,1193,1236,1304,1343,1355,1401,1518,1580,1649,1611,1894,1521,1542,1508,1496,1524,1549,1701,1685,1718,1771,1711,1676,1586,1588,1638,1704,1839,1813,1832,1749,1703,1630,1731,1652,1703,1749,1814,1841,1918,1884,1779,1714,1713,1599,1759,1770,2095,1824,1817,1745,1728,1655,1663,1850,1721,1715,1747,1841,1751,1672,1673,1677,1560,1540,1650,1546,1664,1729,1753,1726,1637,1580,1522,1572,1634,1635,1669,1668,1707,1635,1576,1513,1470,1461,1489,1440,1608,1525,1477,1353,1452,1059,990,999,959,823,764,656,622,607,551,518,479,460,375,411,301,328,276,287,229,236,213,190,184,162,170,118,122,111,102]
[22,30,30,34,48,46,54,61,63,86,105,112,136,151,194,206,250,275,336,393,479,524,607,792,893,1014,1211,1338,1419,1371,1373,1409,1417,1452,1697,1680,1771,1866,1741,1695,1621,1573,1605,1557,1699,1785,1973,2296,1980,1810,1748,1674,1678,1725,1845,1917,2087,2054,1950,1799,1789,1686,1681,1721,1795,1923,2120,2006,1986,1868,1767,1730,1697,1792,1824,1910,2026,2116,1955,1803,1769,1704,1678,1731,2153,1880,2003,1990,1814,1810,1754,1632,1677,1663,1664,1770,1785,1909,1714,1721,1614,1593,1611,1656,1757,1695,1838,1874,1800,1734,1593,1537,1614,1565,1587,1674,1771,1701,1579,1413,1272,1194,1352,1009,876,867,777,729,638,590,578,515,441,426,394,351,364,298,296,270,236,217,205,197,150,130,139,132,108,118]
[25,23,26,27,44,43,60,69,80,103,100,118,122,204,176,208,277,294,385,380,501,552,663,775,894,1215,1417,1626,1637,1602,1501,1470,1592,1524,1739,1944,2040,2169,2082,1790,1738,1645,1655,1614,1792,1925,2075,2244,2198,1988,2258,1713,1718,1708,1882,2002,2278,2282,2204,1932,1818,1734,1706,1845,1934,1979,2226,2279,2148,1997,1901,1794,1821,1787,1930,2078,2225,2321,2167,1950,1895,1708,1721,1796,1857,1982,2216,2789,2155,1931,1818,1669,1690,1760,1789,1871,2034,2165,1959,1815,1829,1659,1722,1698,1748,1951,2056,2169,1892,1878,1658,1586,1607,1710,1671,1853,2041,2010,1715,1439,1341,1321,1166,1013,1048,1042,790,688,636,594,550,515,468,437,403,363,365,313,285,289,263,206,205,188,144,171,164,141,135,121]
[32,27,32,48,46,49,68,69,86,105,107,129,134,180,185,263,321,312,345,450,502,644,690,833,1040,1451,1784,2028,2087,1857,1726,1556,1587,1620,1789,2045,2408,2613,2494,2200,1904,1804,1688,1794,1883,2025,2315,2537,2380,2236,2076,1873,1841,2244,1977,2139,2535,2614,2593,2174,1984,1786,1837,1930,1942,2129,2514,2582,2400,2239,1889,1914,1885,1972,2007,2245,2529,2679,2340,2237,1937,1822,1865,1840,1968,2212,2573,2631,2488,2136,2037,2170,1744,1881,1933,2079,2291,2489,2238,2124,1819,1734,1868,1828,1778,2096,2396,2439,2156,2010,1847,1783,1778,1686,1727,1917,2423,2255,1895,1699,1419,1363,1179,1160,1053,936,829,816,859,663,571,553,459,439,382,366,352,325,276,272,229,197,217,183,178,164,125,138,136,115]
[37,30,35,49,52,59,71,63,78,91,96,125,150,167,198,234,250,311,377,563,535,639,775,886,1173,1773,2724,2864,2750,2685,2021,1850,1700,1826,2015,2747,3343,3214,2866,2776,2259,1966,1878,1885,2068,2403,3076,2974,2948,2818,2533,2014,1976,1932,2027,2486,3850,3353,3102,2920,2284,2041,1885,2003,2142,2494,3144,3367,2950,2720,2418,2073,1952,2115,2118,2649,3326,3248,3076,2848,2279,1978,1967,2062,2083,2558,3174,3079,2824,2832,2390,2024,1884,1859,2385,2300,2692,2749,2569,2484,2081,1882,1796,1855,2033,2361,2826,2873,2786,2592,2069,1847,1782,1879,1904,2454,2914,2807,2532,2252,1730,1438,1295,1164,1077,987,903,829,750,636,646,665,502,450,388,382,328,360,294,276,265,220,181,182,170,170,140,141,146,125]
[31,29,39,44,59,54,75,82,84,91,133,136,146,207,227,247,333,362,416,423,529,664,961,1017,1355,2076,3564,3814,3612,3218,2172,1802,1871,1844,2291,3252,4126,4009,3722,3212,2468,2048,1909,2010,2106,2897,3759,3783,3615,3311,2444,2206,2002,2115,2332,3096,3971,4042,3717,3365,3017,2174,2024,2026,2312,3060,3966,3962,3443,2976,2397,2123,2112,2070,2354,3165,3900,3970,3549,3082,2494,2119,2050,2090,2311,3240,4143,4040,3732,3275,2514,2083,1924,1992,2125,2567,3339,4109,3220,2861,2223,1997,1908,2036,2235,2795,3720,3856,3586,3146,2405,1982,1829,2002,2199,3103,3798,3552,3127,2486,1807,1487,1339,1275,1066,1001,842,819,790,729,645,572,514,524,509,390,377,315,292,306,237,207,231,196,161,149,146,114,126,117]
[28,59,42,44,52,70,70,93,96,103,113,159,151,183,254,251,316,375,404,498,569,679,812,905,1129,2257,2874,3312,3389,2833,2065,1798,1743,1825,2161,2660,3627,3621,3271,2798,2377,2104,1896,2043,2173,2711,3266,3673,3529,3050,2437,2178,2123,2048,2325,2834,3476,3791,3639,3157,2549,2187,2572,2114,2273,2773,3621,3699,3483,2816,2353,2198,2144,2161,2438,2930,3741,3860,3397,3060,2423,2217,2050,2169,2311,3061,3576,3841,3552,2995,2348,2192,2088,2079,2173,2575,3061,3372,3274,2705,2600,2027,2031,2038,2272,2734,3458,3479,3274,2830,2274,2000,1925,1997,2152,2803,3390,3381,2833,2329,1752,1470,1373,1327,1192,1014,881,781,816,683,647,624,575,467,446,416,362,421,282,257,249,228,217,203,170,178,142,127,110,116]
[31,40,30,32,49,52,59,96,94,105,124,148,160,203,253,258,321,374,446,468,575,734,847,959,1158,1253,1839,2187,3103,2107,1729,1703,1781,1751,1881,2106,2469,2814,2781,2535,2066,1982,1940,1963,1897,2196,2733,2816,2886,2547,2182,2045,2071,2033,2148,2262,2877,3055,3143,2674,2307,2110,2139,2065,2124,2820,2627,3145,2933,2424,2170,2119,2118,2170,2176,2516,2728,2917,2926,2540,2177,2061,2065,2003,2103,2274,2740,2835,3002,2545,2230,2145,2049,2017,2011,2249,2373,2893,2721,2432,2065,1950,2411,2009,2010,2291,2494,2880,2730,2375,2006,1906,1847,1961,1939,2270,2368,2660,2357,2012,1706,1539,1464,1329,1194,1132,957,920,774,705,616,568,523,504,406,436,364,331,318,294,309,239,230,219,200,155,142,131,127,109]
[32,39,40,44,63,59,65,91,89,102,131,166,189,191,226,298,345,359,434,517,589,683,873,970,1101,1191,1479,1664,1923,1759,1531,1871,1639,1706,1732,1858,2046,2234,2221,2022,1795,1911,1864,1875,1890,1994,2194,2410,2405,2125,1965,2019,2027,2013,2036,2133,2353,2609,2499,2094,2107,2009,2126,2089,1970,2105,2305,2466,2849,2217,2043,2084,2120,2136,2064,2142,2364,2679,2442,2270,2076,2093,1994,1993,1968,2145,2295,2451,2298,2198,2046,1967,1969,1970,2002,2035,2261,2436,2233,2114,1948,1969,1996,1978,2065,2293,2294,2389,2169,2094,1891,1901,1929,1880,1870,1898,2060,2123,2035,1753,1619,1548,1429,1351,1162,1129,986,906,836,727,703,539,569,500,488,413,390,366,299,272,309,248,229,244,211,158,138,154,152,105]
[39,29,44,59,42,63,86,83,106,98,121,157,203,219,239,310,329,339,475,497,563,720,858,1006,1034,1187,1301,1549,1712,1598,1515,1613,1709,1811,2231,1845,2067,2038,1931,1944,1862,1890,1956,1994,1890,2016,2169,2292,2231,2138,1943,2086,2112,2214,2121,2075,2356,2372,2263,2114,2019,2102,2221,2191,2165,2105,2254,2375,2179,2110,2114,2561,2188,2190,2090,2124,2334,2430,2360,2149,2056,2113,2134,2169,2165,2122,2221,2276,2201,2094,2066,2081,2156,2077,2008,2091,2229,2162,2215,2096,2092,2042,2133,2040,2017,2037,2212,2253,2653,2013,1956,2013,1988,1994,1891,2015,2082,2087,1984,1735,1638,1577,1487,1355,1264,1090,1121,887,823,774,698,578,582,492,470,451,408,386,336,326,272,249,240,208,193,195,196,117,128,112]
[22,50,31,59,61,63,78,95,103,112,130,165,181,216,217,258,349,399,431,499,614,737,898,1035,1100,1227,1361,1597,1641,1673,1562,1605,1917,1943,1893,1920,2559,2221,2085,1999,1942,2020,2028,2094,2035,2063,2268,2285,2274,2146,2049,2081,2212,2221,2210,2239,2309,2418,2595,2525,2134,2183,2288,2237,2157,2214,2402,2358,2254,2171,2223,2222,2236,2301,2241,2275,2389,2418,2462,2208,2131,2183,2814,2281,2274,2250,2311,2326,2331,2213,2096,2168,2195,2193,2216,2259,2225,2222,2197,2065,1986,2122,2169,2234,2165,2195,2343,2400,2280,2066,2047,2161,2147,2123,2063,2073,2095,2002,1896,1756,1947,1598,1504,1342,1248,1101,1056,946,799,760,709,633,587,526,452,445,376,347,340,286,282,254,244,248,187,164,184,162,141,134]
[33,44,34,47,56,61,78,101,111,126,134,176,175,190,251,277,337,368,448,504,571,783,950,1101,1199,1223,1526,1706,1705,1704,1544,1620,1953,1997,1920,1965,2131,2261,2149,1995,1899,1908,2188,2241,2048,2058,2302,2364,2771,2180,2056,2047,2250,2235,2106,2225,2416,2523,2500,2154,2181,2234,2250,2257,2250,2336,2319,2539,2413,2251,2127,2177,2200,2313,2217,2220,2360,2527,2439,2277,2169,2197,2308,2333,2213,2759,2360,2428,2455,2237,2101,2066,2208,2254,2220,2222,2333,2284,2421,2192,2176,2131,2163,2282,2169,2264,2267,2385,2365,2240,2085,2051,2159,2261,2182,2001,2171,2154,2054,1855,1797,1657,1669,1720,1308,1165,1065,930,871,733,712,653,575,477,458,441,397,380,312,309,270,275,225,208,223,199,180,133,161,140]
[32,46,73,50,82,86,114,99,142,126,187,180,258,264,297,354,434,494,577,707,833,1017,1093,1296,1363,1666,2025,1889,1716,1574,1709,1928,1998,2109,2113,2271,2501,2323,2039,2017,1999,2118,2220,2107,2238,2278,2624,2527,2502,2126,2171,2243,2345,2191,2278,2503,2823,2544,2438,2193,2189,2223,2332,2255,2358,2593,2706,2645,2332,2208,2158,2244,2412,2249,2305,2533,2706,2527,2407,2221,2187,2277,2341,2329,2286,3016,2786,2552,2394,2230,2285,2315,2234,2216,2336,2585,2682,2565,2325,2158,2191,2235,2277,2211,2306,2554,2630,2454,2239,2106,2160,2299,2183,2112,2136,2338,2532,2297,2021,1785,1779,1776,1832,1362,1228,1118,1027,909,780,719,678,553,542,520,438,442,379,400,316,289,270,237,222,185,195,188,175,136,135,116]
[38,38,42,72,61,68,80,90,135,138,132,167,193,225,274,292,365,387,487,602,650,728,966,1142,1267,1566,2065,2358,2339,2150,1836,1803,1896,1933,2041,2258,2554,2795,2655,2388,2064,1965,2168,2253,2186,2365,2560,2833,2681,2396,2173,2502,2216,2265,2290,2355,2911,2964,2855,2579,2281,2295,2254,2366,2258,2453,2806,2981,2906,2633,2296,2210,2263,2329,2262,2468,2874,2980,2836,2459,2313,2267,2258,2318,2288,2447,2727,3008,3410,2591,2292,2182,2379,2309,2349,2473,2729,3025,2862,2437,2280,2283,2320,2303,2294,2551,2801,2919,2697,2506,2308,2088,2204,2173,2095,2339,2781,2816,2638,2220,1988,1852,1747,1633,1410,1440,1132,1001,880,800,737,691,590,576,497,476,410,365,366,307,310,280,234,205,178,193,163,149,139,132]
[26,38,52,72,58,84,69,94,113,127,159,166,180,220,308,331,417,433,514,604,675,774,963,1137,1412,2123,2945,3104,3149,2982,2296,2019,1981,2084,2233,2668,3249,3523,3244,2981,2484,2206,2284,2220,2309,2516,3180,3136,3096,2834,2632,2239,2210,2418,2952,3047,3749,3542,3363,3169,2628,2553,2355,2494,2445,3018,3550,3693,3417,3021,2807,2414,2286,2404,2494,3000,3590,3461,3371,3028,2617,2403,2462,2323,2544,2884,3398,3423,3320,2942,2559,2732,2310,2440,2532,2927,3467,3472,3221,2824,2535,2284,2281,2411,2600,2977,3351,3482,3295,2927,2503,2289,2322,2342,2451,2895,3358,3346,2957,2658,2117,1881,1771,1608,1418,1284,1175,1058,1127,851,791,712,653,565,535,435,423,386,346,309,273,279,218,226,203,214,161,134,140,126]
[48,47,58,62,70,90,82,83,106,122,154,156,186,211,243,282,353,410,513,678,691,762,940,1104,1369,2292,3390,3556,3625,3440,2630,2094,1995,1951,2205,2797,3572,3928,3621,3327,2767,2380,2106,2156,2283,2558,3200,3637,3488,3088,2556,2277,2222,2254,2490,3054,3908,4834,3832,3329,2921,2397,2270,2254,2477,3242,4029,4108,3881,3501,2805,2558,2391,2322,2497,3166,3957,4089,3666,3134,2740,2454,2352,2226,2500,3109,3814,4038,3781,3308,2737,2343,2280,2296,3023,3238,4056,3861,3731,3251,2664,2319,2209,2265,2691,3400,4172,4095,3654,3230,2725,2361,2157,2261,2526,3163,4046,3924,3499,2979,2335,1882,1739,1564,1399,1245,1077,1055,886,888,809,706,763,575,503,463,449,397,380,344,301,271,230,209,218,201,188,154,127,126]
[42,46,63,54,53,87,97,93,113,132,170,170,173,244,297,324,416,433,525,573,682,803,914,1400,1486,2357,3004,3495,3388,2682,2003,1884,2004,2026,2255,2738,3313,3496,3424,2910,2522,2148,2170,2218,2329,2586,3035,3415,3153,2809,2493,2327,2284,2244,2551,2844,3339,3755,3517,3118,3035,2284,2250,2413,2578,3206,3832,3579,3441,2919,2554,2353,2348,2347,2709,2994,3619,3626,3379,2957,2521,2361,2261,2363,2686,2915,3639,3653,3490,3027,2552,2316,2324,2313,2476,2977,3527,4467,3513,2952,2521,2288,2277,2354,2527,3223,3706,3629,3477,2971,2516,2348,2317,2353,2410,2926,3610,3633,3237,2631,2111,1845,1694,1547,1438,1266,1112,1017,844,813,757,747,651,617,639,505,464,386,361,318,329,268,250,199,199,190,178,148,151,123]
[41,54,59,58,57,92,102,80,110,130,176,175,234,263,264,314,378,446,525,598,665,823,961,1036,1172,1808,2047,2438,2591,2183,1776,1817,1795,2005,2068,2243,2457,2804,2771,2501,2156,2076,2097,2146,2287,2236,2514,2770,2778,2575,2270,2162,2248,2307,2402,2425,2719,3059,3041,2791,2372,2258,2264,2789,2379,2655,2822,3011,2983,2538,2204,2182,2274,2327,2364,2602,2823,2958,2953,2660,2284,2214,2237,2223,2374,2534,2693,3070,2941,2744,2420,2235,2186,2323,2313,2549,2620,2999,3075,2771,2744,2132,2211,2247,2365,2552,2713,2991,2972,2555,2240,2111,2108,2137,2086,2383,2663,2932,2837,2296,1918,1823,1633,1565,1369,1275,1169,986,986,873,732,684,578,566,518,465,448,462,383,370,322,270,259,232,241,179,164,177,119,141]
[44,40,50,62,57,75,91,121,121,124,151,186,210,237,298,325,395,435,496,615,708,764,893,1023,1177,1281,1551,1827,1946,2153,1613,1639,1714,1881,1891,2092,2267,2395,2456,2228,1994,2038,2151,2158,2121,2221,2259,2499,2491,2252,2177,2192,2075,2256,2262,2209,2519,2596,2641,2428,2206,2179,2196,2334,2286,2242,2987,2691,2613,2366,2213,2126,2161,2163,2326,2352,2487,2707,2484,2321,2223,2249,2196,2221,2223,2308,2492,2535,2660,2357,2167,2189,2226,2305,2263,2309,2551,2750,2592,2388,2136,2035,2105,2687,2203,2283,2440,2696,2417,2200,2214,2127,2016,2053,2048,2164,2297,2450,2251,1984,1927,1788,1672,1570,1434,1281,1126,1045,890,804,757,703,649,582,561,521,511,413,357,371,387,302,262,223,223,209,173,156,142,135]
[35,44,55,74,77,75,75,111,128,167,155,192,204,259,273,334,376,394,493,588,695,818,953,1017,1086,1172,1391,1629,1727,1650,1650,2077,1895,2038,1925,2117,2202,2223,2234,2024,2028,2035,2082,2128,2203,2169,2283,2413,2490,2307,2172,2269,2301,2290,2255,2267,2448,2475,2439,2352,2334,2225,2247,2368,2353,2339,2427,2473,2494,2764,2248,2212,2302,2276,2289,2416,2434,2484,2428,2303,2243,2322,2342,2349,2304,2310,2377,2439,2370,2260,2288,2355,2225,2343,2297,2292,2414,2465,2485,2379,2177,2247,2308,2346,2248,2303,2887,2437,2396,2258,2211,2133,2194,2154,2129,2166,2126,2131,2014,1940,1764,1709,1657,1549,1316,1221,1132,1090,917,870,788,687,640,574,546,513,455,425,374,372,302,270,258,260,230,207,159,172,157,145]
[35,49,64,55,68,73,92,97,119,128,177,165,236,268,251,322,375,432,470,584,681,798,905,1017,1058,1276,1422,1610,1783,1583,1575,1678,1946,2040,2481,2121,2124,2211,2255,2080,1974,1989,2211,2247,2177,2248,2293,2391,2352,2364,2121,2235,2339,2382,2288,2367,2435,2420,2530,2431,2304,2328,2287,2357,2234,2264,2268,2395,2478,2333,2156,2264,2788,2311,2378,2357,2535,2536,2555,2403,2271,2431,2420,2358,2347,2434,2518,2425,2351,2287,2261,2324,2339,2375,2272,2331,2469,2471,2431,2372,2171,2242,2372,2221,2256,2356,2506,2363,2506,2815,2161,2254,2229,2294,2099,2179,2214,2195,2101,1883,1747,1726,1684,1508,1381,1346,1206,1000,987,827,734,749,672,598,577,497,437,414,372,354,328,299,269,242,218,154,205,160,166,120]
[40,51,61,60,71,84,99,120,112,151,146,177,228,271,274,337,386,427,546,560,618,800,933,1078,1200,1179,1499,1676,1817,1747,1609,1768,1851,2090,2084,2068,2310,2837,2282,2060,2042,2071,2172,2230,2310,2296,2415,2575,2473,2278,2186,2187,2314,2350,2312,2379,2499,2509,2467,2350,2229,2328,2372,2444,2316,2279,2384,2393,2449,2287,2236,2268,2333,2384,2789,2448,2451,2540,2380,2364,2275,2351,2400,2472,2266,2286,2469,2583,2411,2358,2205,2561,2410,2410,2323,2419,2431,2531,2441,2312,2253,2430,2409,2355,2283,2362,2456,2462,2449,2213,2289,2253,2764,2222,2208,2218,2240,2291,2093,1788,1781,1842,1724,1544,1469,1332,1110,999,987,822,778,713,638,592,547,447,429,453,393,344,348,304,273,256,211,219,184,170,187,177]
[38,44,65,84,63,74,121,103,111,148,176,188,214,260,327,357,367,433,501,594,703,840,957,1162,1222,1352,1663,1938,1947,1766,1633,1645,1878,1983,2043,2142,2345,2575,2405,2051,2420,2160,2212,2131,2211,2274,2488,2607,2648,2350,2158,2126,2306,2311,2284,2457,2482,2722,2589,2399,2344,2420,2363,2327,2375,2377,2561,2693,2552,2325,2233,2252,2397,2473,2390,2384,2588,2650,3081,2388,2397,2346,2452,2332,2381,2521,2690,2664,2710,2389,2331,2277,2378,2439,2443,2436,2633,2809,2633,2432,2373,2269,2324,2309,2360,2392,2612,2694,2617,2340,2141,2201,2238,2263,2261,2757,2375,2399,2292,1973,1848,1897,1739,1607,1509,1209,1172,1071,1024,845,763,690,670,613,549,493,454,380,388,343,317,305,252,219,212,207,198,195,141,132]
[58,42,58,72,74,86,117,121,138,149,167,188,218,234,295,358,387,447,552,637,731,839,986,1184,1391,1658,2104,2298,2205,1990,1657,1737,1844,1968,2101,2321,2770,2904,2592,2292,2183,2093,2213,2735,2297,2482,2794,3075,2726,2542,2333,2126,2272,2299,2310,2477,2943,3020,2887,2595,2249,2264,2306,2315,2395,2525,2847,3085,2688,2547,2339,2333,2259,2357,2425,2632,2799,2965,2826,2622,2371,2877,2337,2378,2360,2595,2981,3110,2810,2529,2395,2378,2393,2497,2362,2663,2884,2930,2770,2688,2348,2388,2449,2414,2499,2632,2875,2966,2693,2504,2274,2313,2271,2309,2331,2476,2906,2891,2958,2154,1963,1862,1827,1678,1439,1368,1212,1071,1056,942,806,754,667,641,533,509,485,426,367,338,349,277,281,247,225,206,176,167,148,150]
[62,54,73,69,80,65,90,116,120,187,183,212,228,259,264,364,396,479,544,643,695,920,1102,1210,1432,2105,3014,3071,3083,2606,2196,1964,1917,2098,2333,2933,3445,3657,3216,2992,2525,2278,2359,2267,2408,2844,4178,3534,3534,3038,2486,2339,2285,2321,2402,2822,3492,3555,3402,2918,2626,2194,2412,2431,2450,2928,3401,3327,3122,2775,2479,2392,2400,2530,2541,2880,3351,3472,2918,2919,2533,2388,2358,2959,2563,3117,3422,3514,3124,2886,2550,2356,2450,2493,2576,3170,3566,3611,3254,2949,2600,2416,2464,2432,2640,3024,3558,3538,3120,2866,2454,2303,2447,2304,2549,2882,3267,3392,2891,2611,2157,2337,1856,1701,1454,1339,1231,1095,999,939,850,765,728,644,528,528,460,397,363,349,311,282,240,222,188,202,175,164,136,111]
[55,60,67,87,94,74,103,111,143,150,195,199,227,256,315,382,417,511,536,665,777,906,1055,1171,1646,2465,3403,3740,3621,2906,2122,1989,2106,2122,2444,3371,3843,3962,3609,3122,2589,2335,2278,2356,2491,3117,3757,4047,4549,3248,2620,2346,2239,2332,2568,3168,4028,3956,3573,3230,2549,2389,2303,2433,2694,3158,3814,3815,3493,2869,2506,2352,2362,2449,2681,3171,3859,4015,3467,3108,2678,2499,2380,2674,2749,3327,4715,3845,3529,2999,2554,2390,2307,2583,3087,3452,3973,3981,3450,2955,2703,2383,2480,2400,2869,3524,4099,3796,3440,2930,2435,2223,2333,2488,2812,3329,4056,3848,3247,2684,2069,1926,1833,1918,1473,1324,1166,1100,939,901,871,807,683,626,555,475,468,451,398,359,291,287,272,250,194,189,175,152,148,126]
[60,62,80,63,71,90,93,120,123,159,174,187,247,266,363,381,439,513,607,635,758,896,1010,1128,1349,1986,2557,3162,3308,2647,2081,1790,1928,2101,2338,2733,3293,3524,3565,3098,2586,2352,2219,2329,2411,2770,3284,3605,3391,3049,2598,2760,2234,2443,2587,2824,3285,3751,3459,2899,2586,2405,2364,2521,2505,2791,3242,3417,3284,2811,2624,2256,2414,2555,2655,2911,3388,3512,3358,2954,2617,2442,2364,2523,2669,2958,3353,3658,3324,3562,2536,2465,2520,2538,2636,3132,3506,3470,3541,2985,2614,2342,2423,2566,2616,3115,3443,3532,3429,2819,2561,2321,2254,2405,2538,2666,3323,3473,3246,2735,2211,1979,1752,1721,1526,1422,1487,1109,1014,952,821,729,684,640,584,560,498,446,438,349,334,278,285,246,244,210,193,129,145,128]
[57,63,55,70,92,102,101,126,134,147,163,213,220,271,309,340,407,604,516,702,767,812,965,1117,1256,1453,1800,2289,2484,2167,1858,1773,1823,1983,2133,2201,2526,2905,2914,2647,2420,2136,2235,2238,2288,2339,2670,2904,2992,2715,2439,2176,2270,2298,2816,2508,2757,3048,2906,2764,2491,2236,2239,2359,2532,2529,2582,2805,2886,2727,2357,2338,2331,2548,2434,2575,2805,2920,2927,2795,2411,2336,2385,2378,2418,2596,2644,2910,2981,2673,2366,2862,2370,2471,2467,2629,2764,3044,2986,2653,2358,2390,2289,2426,2464,2430,2812,3034,2926,2646,2396,2269,2281,2205,2258,2254,2665,2753,2700,2279,2054,1811,1780,1764,1515,1421,1318,1100,1056,1091,817,766,693,632,591,557,480,466,407,359,320,321,280,254,259,231,193,177,165,138]
[47,70,70,68,77,102,95,118,137,150,164,223,250,282,310,378,425,497,610,630,914,906,1048,1067,1148,1395,1541,1850,1819,1765,1634,1631,1810,1911,2025,2070,2191,2366,2480,2293,2183,1901,2027,2145,2211,2198,2401,2526,2499,2229,2229,2195,2285,2211,2364,2455,2529,3285,2622,2457,2228,2296,2282,2363,2437,2471,2561,2647,2532,2557,2267,2364,2267,2441,2444,2412,2606,2649,2567,2473,2426,2299,2330,2382,2379,2396,2581,2636,2606,2458,2386,2320,2274,2309,2885,2488,2621,2752,2616,2366,2324,2334,2404,2370,2375,2377,2631,2584,2590,2389,2217,2194,2266,2147,2240,2272,2217,2515,2216,1993,1938,1781,1694,1659,1514,1299,1198,1151,998,881,879,716,813,691,595,547,462,481,386,346,324,329,261,260,231,227,179,170,157,121]
[53,53,70,67,85,107,103,112,120,148,181,197,234,268,306,334,420,488,576,614,773,897,1185,1082,1126,1364,1463,1659,1671,1748,1711,1775,1884,2009,2046,2133,2204,2278,2261,2148,2085,2086,2145,2245,2218,2228,2341,2404,2398,2304,2250,2234,2264,2369,2375,2433,2517,2641,2442,2852,2276,2275,2326,2441,2411,2504,2566,2471,2464,2309,2465,2372,2287,2404,2417,2502,2563,2627,2485,2413,2364,2363,2368,2377,2480,2528,2613,2538,2633,2328,2420,2405,2435,2415,2374,2509,3030,2490,2439,2418,2455,2415,2368,2363,2322,2429,2456,2478,2480,2442,2305,2332,2215,2229,2258,2216,2315,2233,2093,2071,1825,1716,1741,1629,1485,1326,1299,1069,1011,899,862,695,705,643,694,576,511,453,415,388,358,294,299,266,241,219,190,178,171,146]
[59,45,63,72,87,117,120,143,125,163,188,224,250,314,313,344,407,462,558,694,738,849,936,1114,1233,1580,1586,1629,1810,1652,1669,1890,2101,2100,2070,2141,2321,2249,2315,2119,2039,2257,2208,2288,2340,2377,2546,2494,2369,2346,2277,2229,2300,2406,2469,2411,2583,2660,2509,2480,2352,2426,2906,2398,2472,2502,2551,2589,2561,2461,2292,2312,2345,2451,2452,2517,2637,2646,2569,2462,2407,2504,2465,2487,2480,2536,2704,2539,2649,2576,2407,2403,2420,2549,2389,2505,2589,2649,2552,2978,2388,2432,2374,2383,2385,2373,2525,2532,2524,2466,2260,2367,2290,2262,2258,2304,2268,2265,2084,2092,1914,1730,1672,1593,1511,1405,1228,1071,972,899,771,694,683,606,567,555,505,531,451,378,371,313,291,261,214,231,176,169,149,140]
[55,56,62,86,87,113,85,121,155,144,180,223,251,274,350,363,386,502,588,669,751,903,1074,1129,1176,1419,1553,2178,1789,1659,1680,1827,2022,2079,2091,2253,2358,2325,2253,2034,1959,2153,2244,2285,2218,2383,2488,2401,2420,2298,2244,2285,2233,2352,2486,2490,2658,2623,2621,2407,2287,2350,2488,2503,2442,2968,2442,2602,2503,2470,2329,2286,2923,2379,2418,2484,2542,2661,2588,2345,2449,2493,2539,2521,2473,2660,2658,2647,2494,2470,2391,2481,2465,2401,2447,2496,2602,2604,2458,2360,2267,2410,2441,2446,2438,2515,2555,2603,2496,2335,2824,2292,2344,2274,2220,2309,2345,2257,2201,1986,1945,1853,1749,1542,1420,1322,1340,1062,960,847,789,715,675,660,628,525,505,470,389,395,306,302,268,256,210,190,207,198,167,144]
[66,61,61,74,103,101,129,127,167,184,187,234,286,323,364,407,494,561,616,700,850,961,1161,1241,1398,1617,1837,1873,1852,1727,1653,1713,2037,2074,2034,2305,2544,2578,2367,2156,2189,2615,2362,2280,2420,2546,2771,2733,2460,2287,2350,2305,2416,2423,2555,2605,2778,2924,2584,2329,2427,2457,2563,2494,2556,2626,2846,2920,2627,2491,2448,2521,2448,2474,2507,2710,2784,2842,2681,2974,2531,2531,2500,2512,2463,2627,2899,2840,2561,2355,2449,2408,2541,2472,2574,2707,2825,2721,2507,2461,2419,2362,2509,2345,2382,2683,2899,2756,2496,2302,2335,2370,2335,2259,2345,2467,3152,2360,2184,1955,1957,1925,1752,1565,1432,1292,1172,1123,980,944,837,798,696,628,575,527,439,425,383,377,318,297,278,249,233,211,181,170,143,149]
[58,64,68,58,92,88,106,174,173,172,180,213,281,272,342,393,388,487,612,690,851,884,1092,1278,1408,1787,2172,2371,2495,2200,1896,1762,1961,2162,2150,2496,2885,3062,2759,2516,2325,2167,2322,2388,2890,2677,3007,2942,2952,2618,2391,2365,2409,2490,2595,2837,3197,3139,3061,2679,2424,2456,2546,2622,2654,2805,3167,3219,3098,2629,2508,2486,2448,2612,2532,2730,3074,3203,3082,2808,2498,2944,2519,2537,2520,2835,3157,2954,2865,2611,2439,2518,2554,2623,2556,2871,3224,3035,2813,2675,2447,2511,2389,2507,2634,2982,3240,3167,2861,2703,2360,2452,2417,2355,2423,2604,2943,2940,2661,2866,2013,1947,1780,1693,1546,1409,1196,1115,1065,960,895,836,695,677,612,552,506,474,411,373,342,307,262,247,254,227,206,160,151,176]
[46,58,62,81,74,86,114,119,129,211,198,243,250,260,318,420,449,552,603,668,789,985,1108,1288,1585,2327,2946,3260,3359,2700,2085,1989,1979,2121,2349,3009,3463,3562,3191,2972,2535,2389,2361,2415,2504,3148,3784,4473,3417,2991,2507,2436,2415,2409,2815,3453,3896,3784,3520,3277,2763,2678,2550,2546,2805,3412,3985,3786,3533,3282,2758,2620,2568,2610,2946,3296,3792,3781,3494,3125,2784,2466,2577,2533,3549,3533,3754,3682,3354,3062,2704,2631,2501,2689,2954,3469,3800,3728,3413,2970,2655,2602,2600,2646,3029,3495,3947,3793,3385,3149,2568,2594,2441,2600,2542,3171,3729,3609,3236,2791,2206,2005,2278,1727,1446,1413,1312,1121,1062,991,882,787,757,668,584,513,491,436,404,379,333,274,281,265,229,217,203,181,142,167]
[73,56,67,83,81,110,89,124,149,197,193,211,237,370,336,385,485,510,598,710,855,985,1051,1230,1692,2680,3363,3767,3808,3139,2421,2075,1990,2147,2491,3259,3916,4100,3895,3408,2864,2566,2326,2480,2698,3279,4212,4220,3911,3370,3360,2529,2463,2623,2910,3784,4485,4189,3931,3421,2898,2661,2605,2572,3000,3624,4323,4390,3993,3461,2961,2531,2496,2682,2893,3513,4264,4140,3793,3419,2900,2737,2559,2732,3036,3611,4310,4112,4512,3356,2808,2539,2518,2765,3214,3849,4400,4294,3837,3227,2864,2632,2616,2750,2959,3648,4289,4164,3897,3364,2935,2832,2377,2479,2775,3440,4315,4375,3710,3081,2415,2056,1983,1744,1667,1607,1309,1142,1062,1054,910,792,714,652,585,550,461,459,442,379,304,309,273,266,213,197,172,187,159,148]
[59,54,57,75,95,109,118,123,180,165,186,205,247,263,334,373,508,510,570,647,756,951,1001,1153,1416,2064,2705,3188,3287,2681,2121,1928,2013,2067,2308,2799,3367,3684,3598,3038,2574,2199,2334,2389,2543,2779,3534,3544,3403,3059,2763,2423,2376,2879,2718,3044,3679,3673,3457,3219,2744,2512,2478,2640,2730,3229,3706,3805,3522,3186,2672,2578,2450,2590,2691,3089,3679,3617,3462,3087,2742,2470,2485,2575,2631,3156,3622,3691,3492,3186,2632,3019,2487,2603,2781,3205,3732,3742,3341,3110,2620,2493,2509,2722,2783,3177,3606,3777,3448,3091,2622,2365,2391,2465,2525,3051,3472,3721,3334,2814,2131,1889,1749,1657,1548,1416,1289,1092,1281,953,877,783,704,638,578,532,481,467,362,337,329,305,303,243,246,225,188,159,174,127]
[56,55,71,67,82,114,138,120,154,156,208,251,279,311,318,355,433,532,591,843,836,940,1026,1147,1323,1450,1915,2464,2587,2132,1815,1771,1941,1951,2036,2336,2603,2929,3003,2538,2273,2062,2174,2380,2340,2508,2722,2924,2965,2636,2340,2208,2341,2396,2418,2658,3481,3075,3098,2621,2595,2414,2476,2527,2552,2680,2880,3184,3038,2652,2517,2390,2398,2457,2588,2750,2850,3119,3022,2750,2468,2463,2413,2501,2591,2864,2936,3124,3097,2805,2580,2441,2433,2538,3066,2819,2924,3147,3015,2830,2574,2428,2530,2469,2460,2795,2859,2933,2988,2590,2459,2304,2235,2344,2280,2536,2819,2931,2782,2268,2104,1976,1820,1719,1565,1446,1224,1204,1116,944,862,931,694,639,600,569,514,468,421,383,342,284,280,229,232,214,182,196,139,142]
[57,60,63,75,93,91,131,120,163,158,161,247,242,334,343,402,449,469,587,643,813,950,1268,1130,1199,1406,1640,2010,1991,1779,1681,1686,1766,1925,2086,2173,2399,2526,2467,2220,2147,2021,2128,2273,2288,2326,2546,2611,2647,2403,2280,2318,2397,2303,2454,2630,2695,2734,2827,3113,2519,2292,2347,2369,2483,2526,2777,2801,2729,2507,2519,2403,2426,2423,2553,2553,2722,2739,2675,2629,2475,2393,2530,2538,2444,2567,2673,2839,2674,2548,2566,2513,2398,2525,2429,2642,3286,2848,2770,2576,2532,2457,2478,2531,2476,2570,2736,2910,2642,2463,2394,2289,2289,2228,2271,2451,2582,2596,2436,2134,2046,1884,1818,1665,1539,1394,1296,1130,1034,976,815,776,716,645,699,522,486,455,421,324,314,348,289,287,238,232,191,170,161,151]
[64,53,68,77,75,92,144,161,160,161,200,232,294,321,371,397,457,505,631,635,794,976,1009,1138,1219,1722,1553,1831,1847,1655,1708,1865,1949,2134,2096,2157,2349,2228,2258,2223,2120,2158,2222,2310,2303,2382,2465,2516,2374,2332,2364,2346,2377,2396,2478,2561,2690,2666,2577,2426,2340,2450,2965,2523,2471,2540,2704,2788,2611,2500,2451,2340,2575,2495,2496,2581,2554,2705,2617,2557,2513,2512,2529,2458,2600,2642,2710,2742,2671,2525,2431,2457,2459,2618,2583,2634,2662,2704,2606,3131,2480,2540,2467,2514,2518,2524,2610,2600,2551,2493,2411,2384,2326,2347,2254,2392,2448,2463,2261,2116,1991,1830,1804,1739,1565,1498,1280,1167,981,898,828,756,686,662,587,490,612,473,388,371,345,330,269,255,240,217,192,184,142,134]
[57,66,66,88,98,111,128,136,179,194,190,237,273,339,336,415,484,484,624,682,814,933,1071,1162,1194,1345,1645,2168,1833,1711,1836,1957,2016,2155,2122,2231,2372,2300,2296,2123,2179,2261,2312,2287,2283,2532,2470,2502,2402,2419,2341,2372,2378,2418,2390,2570,2715,2669,2623,2501,2472,2454,2486,2447,3108,2636,2658,2653,2647,2491,2481,2514,2552,2622,2578,2729,2653,2677,2635,2560,2342,2579,2475,2547,2565,2562,2639,2604,2596,2602,2454,2568,2523,2534,2504,2647,2682,2674,2639,2519,2446,2615,3085,2578,2580,2618,2510,2512,2664,2543,2457,2375,2535,2457,2433,2482,2526,2415,2239,2106,2016,1905,1785,1646,1563,1381,1259,1164,1051,897,847,751,656,619,563,590,542,462,429,484,341,314,287,261,251,230,192,193,145,150]
[64,83,63,85,85,91,134,139,170,185,179,242,270,322,372,403,425,572,644,717,904,990,1113,1220,1364,1582,1715,1850,1749,1655,2061,1900,2034,2128,2104,2296,2314,2367,2249,2121,2090,2297,2303,2346,2360,2514,2514,2507,2535,2413,2325,2369,2438,2484,2474,2616,2692,2713,2589,2528,2373,2465,2665,2633,2585,2638,2627,3303,2594,2453,2483,2444,2576,2528,2605,2662,2825,2709,2577,2575,2439,2491,2579,2502,2505,2643,2694,2711,2634,2447,2490,2587,2672,2585,2520,2736,2702,2766,2559,2488,2535,2565,2586,2630,2580,3178,2771,2679,2553,2474,2398,2520,2529,2371,2442,2614,2570,2533,2321,2022,2053,1906,1851,1701,1596,1364,1263,1121,1013,878,828,749,675,615,582,521,479,454,398,426,348,312,360,261,227,211,203,175,162,147]
[63,70,76,91,85,88,137,156,140,168,198,254,273,325,358,400,469,577,576,669,846,991,1115,1225,1401,1570,1773,1899,1877,1772,1761,1880,2012,1976,2513,2315,2537,2617,2406,2131,2194,2230,2307,2334,2346,2383,2667,2774,2586,2417,2540,2321,2455,2603,2575,2647,2751,2837,2714,2462,2488,2486,2579,2546,2564,2747,2754,2859,2797,2445,2449,3084,2583,2544,2605,2682,2875,3126,2656,2689,2560,2630,2539,2646,2570,2627,2775,2850,2726,2648,2463,2543,2559,2618,2565,2793,3022,2983,2657,2611,2640,2593,2547,2641,2663,2728,3030,2924,3282,2423,2361,2468,2536,2474,2583,2722,2922,2680,2405,2159,2168,2142,1915,1691,1527,1332,1306,1161,1034,952,842,726,740,654,650,537,474,449,428,348,385,285,269,279,211,211,227,176,166,163]
[71,53,88,116,83,124,161,158,158,169,203,231,273,303,355,430,454,565,653,713,834,1059,1102,1329,1521,1776,2232,2401,2365,2026,1790,1807,2004,2162,2102,2553,3001,3656,2630,2453,2252,2258,2318,2302,2325,2679,3025,3127,2730,2527,2499,2365,2468,2593,2640,2815,3224,3289,2934,2711,2539,2439,2549,2621,2645,3012,3392,3248,3120,2684,2606,2433,2533,2602,3218,2922,3299,3066,2949,2794,2614,2622,2643,2636,2689,2935,3340,3160,3085,2836,2779,2626,2670,2675,2746,3182,3376,3407,3092,2877,2701,2677,2905,2557,2872,3232,3455,3433,3084,2844,2635,3003,2590,2521,2784,3236,3430,3259,2912,2482,2242,2158,1956,1737,1584,1463,1338,1172,1033,998,873,809,723,627,545,524,509,431,437,386,347,327,261,247,247,229,191,177,169,137]
[67,71,92,91,113,116,135,141,173,201,219,228,295,330,364,454,506,569,642,723,875,1035,1178,1365,1799,2372,2997,3167,3084,2557,2157,2015,2037,2212,2519,3424,4039,3552,4103,2914,2470,2402,2440,2546,2747,4155,3656,3551,3440,2883,2614,2574,2594,2692,2946,3468,3946,3797,3627,3231,2712,2607,2550,2665,2944,3590,4052,3780,3465,3205,2856,2529,2709,2826,2908,4403,4001,3484,3631,3182,2790,2611,2731,2785,2985,3636,3855,3679,3407,2950,2657,3010,2640,2973,3490,4049,4252,3802,3617,3286,2862,2704,2673,2930,3474,4141,4230,3653,3640,3163,2796,2632,3074,2958,3678,4231,4230,3673,3364,2815,2439,2198,1979,1764,1636,1422,1236,1131,1063,936,849,825,695,635,543,524,487,470,376,359,307,283,243,239,190,193,158,154,170,151]
[87,64,106,87,104,109,127,153,195,199,208,230,273,330,361,466,487,529,656,740,847,1058,1155,1421,1721,2517,3526,3764,3728,3010,2405,2111,2049,2220,2595,3693,4475,3945,3863,3983,2851,2449,2400,2517,2978,3814,4223,4230,3736,3168,2778,2664,2443,2772,3001,3804,4279,4035,3856,3345,2918,2614,2514,2816,3230,4000,4519,4187,3892,3469,2937,2696,2591,2801,3225,3948,5362,4201,3722,3295,2957,2706,2704,2800,3220,3904,4467,4384,4000,3490,2968,2695,2794,2993,3564,4549,4824,4486,3923,3587,3052,2819,2680,2936,3633,4604,5070,4547,4128,3715,3007,2768,2669,2996,4407,4924,5093,4252,3807,3186,2531,2200,1994,1867,1604,1459,1352,1255,1076,1023,889,804,727,671,582,596,543,455,397,383,303,296,276,227,234,197,204,187,164,165]
[72,49,74,98,113,110,137,156,167,193,233,239,310,336,360,486,562,651,686,793,909,1008,1092,1363,1660,2395,2928,3232,3068,2277,2035,2024,2035,2230,2741,3257,3685,3578,3344,2906,2505,2819,2253,2547,2929,3544,3777,3656,3314,2900,2645,2521,2601,2756,3099,3420,3547,3695,3251,2946,2713,2565,2588,2797,3090,3591,3843,3771,3463,2970,2646,2590,2697,2635,3108,3557,3847,3717,3511,3648,2658,2672,2697,2816,3039,3625,3982,3749,3336,2998,2630,2692,2747,2898,3389,3967,4122,3897,3579,3158,2856,2675,2701,2850,3565,3849,4412,4006,3698,3230,2694,2622,2567,2804,3240,4159,5096,3801,3283,2696,2260,2122,1888,1723,1516,1429,1289,1111,1063,954,828,777,743,613,557,526,456,431,395,357,381,293,280,266,202,205,194,186,137,142]
[64,77,79,80,106,101,122,183,193,185,220,242,291,306,375,430,520,572,682,801,899,1033,1068,1239,1369,1625,1943,2307,2240,1903,1755,1677,1946,2047,2219,2449,2745,2913,2635,2419,2213,2182,2147,2301,2976,2674,2913,3082,2916,2484,2321,2341,2350,2526,2673,2893,3005,3083,2945,2634,2468,2450,2483,2604,2664,2958,3171,3176,2968,2800,2534,2555,2409,2652,2672,2908,3173,3364,3087,2715,2564,3010,2537,2584,2727,2985,3354,3423,3026,2667,2586,2559,2540,2629,2804,3183,3285,3443,3269,2761,2610,2495,2607,2714,2796,3144,3455,3436,3103,2624,2468,2482,2479,2411,2681,3072,3397,3380,2969,2828,2158,2050,1923,1807,1519,1347,1268,1072,1052,938,829,758,706,710,597,555,497,434,395,393,318,285,280,279,212,184,193,166,171,118]
[62,62,67,90,103,106,118,133,165,173,245,274,281,332,361,449,464,549,660,720,858,1014,1084,1222,1286,1422,1636,1874,1883,1725,1643,1775,1871,1903,2009,2236,2403,2417,2452,2198,2075,2194,2256,2243,2275,2483,2568,3282,2586,2497,2412,2274,2467,2394,2711,2578,2789,2893,2720,2504,2606,2531,2413,2442,2678,2686,2815,2883,2795,2573,2533,2487,2435,2483,2608,2640,2865,2936,2884,2603,2583,2441,2562,2596,3134,2647,2840,2968,2764,2599,2538,2471,2516,2566,2586,2698,2979,2942,2808,2626,2583,2543,2497,2520,2579,2694,2814,2999,2961,2558,2433,2499,2351,2347,2491,2589,2751,2762,2517,2232,2083,2299,1885,1728,1611,1417,1229,1121,1010,986,860,833,703,668,587,555,510,469,409,424,359,327,302,308,218,218,192,200,174,170]
[57,71,91,98,98,121,132,143,155,189,225,260,348,325,393,423,450,579,638,734,919,1016,1109,1173,1251,1469,1599,1725,1780,1609,1705,1851,1978,2054,2108,2170,2328,2411,2327,2256,2127,2201,2263,2375,2386,2361,2413,2516,2523,2502,2901,2411,2437,2457,2490,2665,2693,2723,2707,2571,2418,2509,2538,2578,2578,2682,2750,2763,2643,2539,2488,2533,2545,2550,2569,2777,2737,2817,2667,2528,2618,2457,2534,2516,2718,2681,2863,3390,2613,2574,2565,2541,2574,2600,2563,2733,2817,2701,2756,2570,2604,2630,2505,2637,2566,2679,2793,2833,2635,2571,2452,2471,2497,2492,2380,2500,2612,2488,2317,2176,2093,1953,1877,1742,1846,1410,1240,1184,1003,906,833,770,702,639,610,583,476,460,401,375,363,310,286,271,226,215,208,186,174,150]
[61,76,55,91,95,99,110,149,157,165,213,239,298,307,343,470,463,530,656,747,896,1019,1137,1284,1299,1504,1694,1858,1857,1702,1697,1934,2064,2114,2182,2200,2394,2300,2306,2138,2148,2229,2293,2378,2348,2489,2579,2520,2461,2448,2387,2431,2512,3171,2504,2642,2796,2741,2624,2563,2509,2592,2591,2590,2675,2828,2767,2670,2742,2564,2467,2564,2650,2662,2623,2713,2817,2791,2697,2583,2549,2611,2651,2710,2625,2783,2948,2967,2771,2695,3095,2601,2610,2741,2723,2745,2846,2742,2727,2553,2577,2592,2718,2708,2546,2684,2744,2761,2738,2614,2534,2632,2636,2553,2478,2499,2556,2464,2196,2139,2054,1979,1830,1704,1614,1438,1282,1347,1047,997,893,767,712,617,613,580,473,485,413,392,342,336,280,233,245,200,218,186,174,155]
[52,67,80,85,107,128,113,135,145,197,197,255,258,331,325,407,482,534,811,659,808,975,1172,1322,1330,1552,1768,1851,1886,1704,1713,1965,2055,2170,2061,2185,2360,2487,2226,2089,2127,2177,2302,2400,2433,2469,2683,2588,2624,2463,2493,2370,2484,2615,2509,2604,3456,2714,2627,2623,2513,2501,2614,2658,2654,2713,2733,2802,2673,2570,2526,2486,2565,2703,2611,2747,2799,2829,2793,2612,2518,2668,2708,2618,2576,2745,2814,2850,2860,2728,2670,2576,2671,3232,2609,2828,2690,2781,2703,2598,2616,2596,2680,2595,2672,2665,2887,2735,2785,2453,2458,2570,2563,2486,2448,2509,2669,2609,2383,2158,2184,1961,1921,1651,1597,1449,1278,1242,1077,947,1033,805,733,638,599,522,524,442,417,379,344,334,298,270,250,224,203,182,181,157]
[60,73,70,98,115,127,134,148,154,204,215,220,281,322,385,444,496,586,661,715,846,1235,1185,1422,1481,1802,2058,2265,2100,1795,1817,1852,2076,2173,2173,2314,2513,2596,2458,2140,2138,2270,2428,2429,2402,2473,2784,2770,2606,2455,2401,2442,2458,2602,2617,2860,2980,2964,3471,2615,2519,2642,2738,2573,2677,2851,3078,2964,2746,2568,2599,2662,2692,2683,2708,2905,2999,2976,2814,2614,2643,2603,2625,2768,2730,2914,3070,3066,2836,2704,2596,2774,2717,2664,2681,2760,3599,2967,2774,2651,2589,2645,2700,2730,2680,2841,3004,2944,2694,2590,2533,2530,2537,2542,2449,2628,2834,2700,2441,2136,2159,2106,1918,1768,1594,1447,1301,1172,1130,948,828,766,693,783,576,528,481,461,421,358,324,294,292,246,255,238,187,178,137,163]
[66,91,98,108,95,122,142,149,171,196,248,261,265,315,376,463,444,561,653,757,895,1093,1232,1437,2100,2291,2615,2723,2402,2051,1832,1912,2065,2150,2281,2699,2966,2780,2588,2246,2229,2200,2422,2564,2595,2907,3189,3020,2890,2692,2523,2529,2524,2602,2778,3220,3433,3451,3228,2891,2614,3180,2662,2710,2814,3218,3485,3204,2975,2812,2675,2701,2660,2757,2887,3138,3364,3290,2844,2813,2577,2653,2708,2751,2990,3439,3582,3386,2999,2847,2679,2662,2734,2809,2935,3119,3301,3274,2938,3311,2604,2670,2621,2754,2964,3299,3494,3297,2930,2695,2448,2466,2599,2514,2649,3264,3212,3052,2633,2284,2131,2074,1887,1757,1438,1349,1322,1176,1053,963,864,816,736,615,586,524,580,417,431,378,334,280,259,266,219,210,179,175,183,120]
[71,63,82,91,104,120,136,143,153,190,245,253,296,318,380,418,547,602,706,741,893,1012,1292,1460,2134,3110,3834,4368,3553,2999,2386,2084,2120,2235,2727,3437,3857,3563,3368,2747,2555,2410,2266,2547,2874,3480,3810,3704,3442,2911,2688,2674,2642,2780,3209,3871,4128,4007,3888,3474,2825,2820,2727,2781,3829,3901,4115,3772,3716,3183,2808,2702,2748,2907,3313,3982,4211,3805,3559,3200,2769,2723,2815,2973,3571,4352,4448,4096,3721,3346,2889,2883,2760,2849,3262,3758,3944,3833,3356,3065,2868,3348,2781,3035,3574,4375,4322,3815,3516,3202,2809,2693,2644,2824,3409,4174,4136,3514,3174,2704,2348,2119,1895,1779,1536,1428,1334,1209,1085,977,910,790,745,743,562,520,487,403,390,447,360,282,262,218,211,194,170,182,154,115]
[74,67,83,82,105,132,127,148,198,192,210,239,290,338,384,429,510,588,688,778,886,1019,1178,1549,2322,3659,4496,4074,3904,3317,3006,2197,2093,2322,2940,3902,4356,4060,3644,3006,2544,2358,2381,2549,3039,3790,4315,4161,3804,3361,2851,2575,2517,2869,3418,4248,4744,4398,4135,3557,3033,2725,2745,2848,3347,4149,4583,4987,3810,3212,2819,2783,2744,3023,3519,4228,4454,4148,3699,3339,2862,2807,2850,3083,3854,4905,5073,4374,4054,3666,3148,2770,2748,2920,3523,4285,4462,4217,3769,3240,2929,2724,2811,3089,4805,4959,5026,4434,3908,3424,2892,2712,2732,2940,3691,4609,4748,4054,3560,2687,2405,1976,1863,1776,1456,1402,1371,1147,1034,975,927,852,776,693,555,534,493,472,414,342,340,314,296,221,250,198,176,181,141,148]
[71,71,86,92,105,123,146,163,161,200,233,241,279,308,411,465,489,571,708,728,900,1020,1177,1398,1905,2940,3594,3758,3500,2912,2376,2108,2195,2736,2630,3411,3798,3752,3328,2850,2428,2398,2443,2469,2917,3318,3840,3748,3499,2886,2603,2634,2567,2723,3171,3849,4298,4100,3812,3262,2944,2696,2724,2861,3050,3498,3950,3887,3605,3105,3427,2675,2817,2859,3026,3733,3867,3835,3561,3123,2836,2752,2775,3047,3447,4321,4516,4149,3821,3322,2977,2689,2730,2771,3139,3622,3851,3837,3399,3046,2697,2540,2802,2923,3414,3937,4577,5041,3697,3182,2696,2636,2702,2799,3209,3755,4215,3876,3271,2621,2197,2039,1869,1728,1671,1345,1252,1128,1076,954,862,782,715,668,614,542,462,465,416,396,328,328,259,236,253,209,173,174,152,132]
[74,77,72,87,85,122,123,164,182,199,212,267,282,332,372,431,469,582,676,786,927,1035,1151,1301,1571,1999,2483,2997,2774,2211,1971,2001,1965,2176,2290,2448,3569,3006,2803,2472,2268,2152,2363,2472,2594,2667,3162,3225,3104,2698,2436,2439,2527,2671,2826,2933,3316,3450,3448,2872,2634,2606,2575,2740,2827,2984,3227,3254,3229,2815,2586,2628,2575,3199,2808,2991,3266,3349,3099,2829,2610,2535,2682,2793,2797,3290,3484,3650,3494,3003,2698,2633,2643,2659,2855,2993,3512,3503,3179,2683,2701,2636,2615,2755,2875,3100,3455,3721,3446,2895,3094,2423,2535,2397,2638,2937,3122,3215,2765,2282,2105,2007,1898,1715,1552,1472,1268,1144,1115,960,880,768,734,673,609,543,539,458,418,381,351,325,312,260,241,196,231,196,156,126]
[71,96,75,110,120,125,116,137,155,190,223,214,279,309,375,399,494,584,680,736,866,989,1155,1230,1390,1645,1895,2091,2138,1928,1744,1807,1873,1990,2045,2300,2508,2564,2383,2643,2179,2221,2273,2292,2413,2436,2649,2648,2596,2420,2359,2333,2422,2572,2453,2722,2779,2857,2870,2651,2571,2508,2522,2607,2600,2796,2881,2905,2865,2567,2591,2525,2569,2581,2522,2749,3541,2925,2764,2600,2536,2542,2574,2625,2753,2885,3041,3132,2873,2529,2489,2526,2525,2677,2656,2810,2954,2883,2711,2600,2524,2451,2474,2576,2615,2708,3004,2971,2810,2523,2517,2288,2377,2683,2377,2641,2686,2704,2352,2075,2043,1869,1808,1680,1500,1334,1194,1061,991,919,790,756,696,629,619,447,464,486,425,374,302,282,287,255,225,207,183,174,171,127]
[46,89,84,85,115,124,147,162,177,207,220,237,324,341,383,476,479,551,676,738,892,1011,1164,1219,1361,1515,1688,1930,1889,1800,1766,1892,2099,2175,2127,2229,2370,2384,2251,2201,2141,2725,2342,2349,2479,2405,2612,2502,2600,2467,2441,2485,2499,2515,2526,2680,2771,2778,2774,2552,2626,2584,2625,2621,2667,2712,2880,2832,2710,2582,2620,2434,2732,2768,2662,2780,2847,2803,2715,3263,2482,2666,2677,2682,2617,2831,2862,2847,2628,2612,2593,2564,2709,2573,2650,2741,2730,2839,2659,2608,2475,2544,2509,2616,2640,2719,2821,2742,2628,2600,2453,2477,2512,2414,2323,2437,3074,2492,2210,2088,1940,1896,1870,1680,1569,1374,1258,1124,998,930,866,764,703,655,616,501,502,456,427,368,337,319,262,245,219,221,169,181,176,134]
[54,90,64,103,105,133,100,186,171,208,233,262,313,349,391,445,506,585,683,769,885,1069,1195,1224,1321,1532,1707,1855,1840,1801,1868,2107,2239,2246,2242,2358,2393,2422,2273,2220,2219,2319,2366,2450,2915,2475,2500,2453,2516,2466,2518,2450,2567,2706,2589,2655,2716,2726,2695,2722,2576,2696,2693,2591,2804,2773,2846,2790,2776,2648,2538,2608,2711,2608,2681,2749,2973,2758,2623,2625,2575,3232,2709,2681,2720,2752,2950,2889,2791,2668,2642,2689,2694,2565,2735,2681,2834,2737,2632,2536,2619,2818,2781,2638,2675,2706,2755,2811,2734,2516,2454,2452,2466,2485,2425,2420,2614,2378,2230,2494,1975,1799,1735,1729,1581,1374,1262,1114,1015,951,777,717,709,638,558,514,501,443,404,353,361,280,284,283,256,207,168,180,143,132]
[67,64,74,113,104,109,144,157,154,188,286,257,318,326,412,447,506,577,668,750,910,1024,1212,1225,1454,1559,1788,1950,1910,1731,1834,1939,2104,2303,2224,2380,2584,2491,2421,2267,2258,2334,2446,2570,2481,2515,2667,3169,2602,2420,2411,2447,2542,2671,2578,2722,2796,2680,2615,2552,2493,2641,2645,2613,2738,2783,2908,2824,2721,2665,2709,2692,2658,2699,2752,2767,2941,2828,2858,2703,2679,2655,2697,2659,3166,2860,2838,2858,2735,2674,2552,2686,2714,2784,2728,2743,2922,2869,2763,2619,2598,2547,2759,2633,2616,2614,2702,2785,2700,2545,2483,2539,2495,2516,2436,2450,2484,2475,2268,2060,2011,2384,1806,1719,1541,1350,1225,1071,1006,893,818,758,639,602,597,540,480,453,406,388,315,300,277,230,243,194,203,178,165,153]
[70,89,88,100,109,121,131,128,178,208,208,242,279,401,430,433,536,597,695,776,897,1038,1164,1310,1512,1770,2062,2196,1996,1794,1766,1849,2135,2187,2338,2455,2776,2779,2565,2318,2258,2314,2421,2442,2469,2599,2758,2884,2694,2439,2908,2422,2532,2696,2578,2748,2995,2971,2645,2579,2463,2564,2596,2691,2696,2883,3108,3061,2832,2582,2595,2690,2756,2607,2736,2972,3104,3049,2863,2733,2572,2541,2663,2796,2694,2830,3116,3694,2793,2609,2607,2597,2735,2706,2745,2895,3063,3090,2838,2578,2610,2695,2699,2619,2566,2775,2961,2949,2700,2565,2437,2499,2487,2439,2392,2728,2886,2669,2436,2126,2171,2074,1889,1656,1825,1408,1214,1090,1081,944,812,698,684,591,579,525,454,410,393,359,317,317,283,239,245,204,199,180,161,153]
[62,72,66,113,116,128,149,153,153,206,236,222,327,336,395,511,548,625,703,762,983,1073,1231,1419,1740,2363,2674,2776,2537,2035,1849,1983,2195,2289,2588,3166,3453,3149,2906,2643,2440,2375,2539,2478,2763,3091,3296,3059,2980,2751,2470,2556,2616,3214,2819,3176,3328,3106,2947,2664,2517,2652,2753,2674,3036,3418,3579,3336,3054,2813,2810,2802,2788,2878,3089,3362,3489,3378,3139,2788,2824,2746,2685,2758,2970,3469,3695,3489,3134,2990,3195,2679,2742,2879,3033,3456,3581,3287,3109,2807,2719,2749,2669,2725,2843,3295,3371,3257,2922,2566,2545,2520,2523,2651,2856,3507,3603,3018,2630,2331,2149,2051,1830,1583,1488,1365,1227,1123,1183,928,858,736,685,598,534,466,454,417,395,363,341,304,255,211,199,173,191,189,148,128]
[66,93,98,96,117,101,120,141,193,221,218,236,257,337,406,433,492,569,679,894,953,1078,1230,1521,2072,3010,3538,3383,3445,2824,2245,2152,2146,2278,3069,3888,4227,3715,3513,3146,2802,2487,2467,2761,3065,3644,3975,3762,3498,3234,2740,2602,2503,2797,3055,3756,4643,3723,3585,3162,2793,2666,2756,2906,3440,4184,4322,3881,3794,3450,2950,2866,2869,2928,3445,4142,4100,3984,3719,3326,2911,2873,2866,3015,3470,4323,4340,4096,3800,3399,2981,2781,2767,3630,3401,3978,4108,4001,3621,3159,3004,2718,2743,2877,3204,3806,4167,3740,3531,2981,2681,2613,2760,2751,3334,4141,4365,3697,3166,2838,2247,2178,1938,1676,1538,1301,1261,1150,1053,939,835,957,692,647,594,513,452,436,381,357,330,284,259,233,226,204,182,172,151,143]
[74,84,92,100,126,105,165,150,176,211,229,260,300,329,379,451,524,637,689,781,916,1037,1386,1496,2263,3473,4158,4184,3756,2805,2309,2251,2245,2495,3358,4408,4755,4285,3795,3343,2739,2377,2467,2747,3372,4405,4511,4231,3799,3274,2789,2523,2583,2829,3480,4367,4644,4256,3836,3862,2858,2646,2592,3134,3882,5033,4895,4352,4034,3582,3080,2892,2914,3206,3740,4714,4706,4140,3865,3456,2903,2750,2801,3164,3796,4896,4886,4230,3894,3560,3006,2736,2588,3007,3495,4295,5722,4299,3795,3302,2919,2697,2791,2974,3509,4352,4540,4099,3593,3162,2630,2542,2552,3068,3798,4775,4817,3967,3328,2781,2250,1944,1793,1729,1490,1350,1233,1078,1025,904,868,770,689,633,712,503,487,431,387,355,320,273,229,217,194,196,171,130,148,109]
[69,81,88,114,107,152,132,151,188,239,228,264,297,389,437,469,527,609,679,773,904,1083,1114,1421,1951,3265,3681,3803,3300,2521,2186,2132,2120,2447,3076,3761,4345,4033,3514,2932,2623,2451,2522,2602,2988,3741,4140,3889,3543,3089,2767,2484,2526,2847,3183,3753,4080,3801,3570,2986,2799,2597,3235,2946,3740,4219,4487,4070,3733,3115,2996,2751,2871,3021,3476,4328,4154,3953,3675,3161,2896,2790,2839,3042,3547,4033,4274,4080,3707,3243,2829,2611,2799,2858,3358,3903,4137,4099,3643,3654,2730,2726,2720,2920,3185,3669,4004,3740,3401,2968,2611,2622,2605,2823,3309,4183,4182,3807,3312,2636,2180,1982,1879,1709,1510,1344,1217,1119,1066,884,773,745,646,637,563,525,461,548,376,325,287,312,255,246,197,177,171,173,138,131]
[67,64,86,101,115,137,137,154,185,177,182,258,295,339,404,454,551,622,743,786,938,1021,1168,1266,1468,1965,2364,2843,3182,2072,1914,1951,1966,2282,2563,2951,3407,3376,2909,2539,2304,2335,2333,2491,2554,2814,3051,3204,2987,2640,2515,2470,2512,2514,2778,2921,3153,3187,3116,2704,2638,2478,2606,2668,2845,3912,3597,3533,3230,2846,2618,2650,2744,2774,2899,3314,3407,3487,3186,2730,2595,2550,2795,2900,3010,3257,3449,3546,3313,2859,2667,2473,2666,2625,2878,3166,3590,3497,3274,2756,2712,2600,3153,2639,2740,3068,3253,3190,2989,2707,2374,2439,2463,2480,2786,3097,3394,3103,2681,2163,2012,1917,1750,1611,1540,1303,1207,1079,1022,885,767,769,696,577,508,509,421,432,382,349,338,263,269,230,206,198,176,172,130,131]
[72,81,86,100,119,132,156,162,176,215,213,241,275,372,381,466,527,587,681,770,892,1033,1078,1273,1423,1555,1881,2234,2053,1701,1726,2207,1989,1954,2160,2597,2664,2712,2413,2253,2231,2235,2245,2302,2439,2545,2737,2845,2566,2471,2308,2382,2407,2552,2675,2589,2830,2902,2659,2519,2439,2336,2548,2535,2653,2852,3088,3127,3318,2674,2532,2532,2656,2692,2763,2854,3085,3096,2768,2625,2595,2524,2624,2602,2710,2952,3132,3156,2833,2707,2585,2569,2574,2697,2581,2757,3056,3097,2643,2615,2533,2522,2511,2545,2508,3145,2795,2754,2457,2428,2273,2292,2362,2251,2404,2651,2734,2489,2272,2168,1981,1806,1797,1639,1480,1255,1285,1089,1032,928,821,711,687,638,553,491,455,426,424,374,329,317,301,227,209,225,154,156,133,117]
[65,71,87,104,112,111,135,151,172,205,229,258,303,338,372,430,495,593,655,795,896,1095,1121,1206,1327,1476,1734,1853,1755,1702,1787,1862,2127,2141,2632,2306,2388,2426,2293,2232,2220,2224,2360,2333,2476,2452,2598,2469,2551,2433,2459,2387,2449,2517,2523,2655,2685,2750,2693,2440,2486,2563,2510,2547,2566,2679,2719,2731,2780,2692,2502,3173,2641,2690,2654,2799,2862,2752,2721,2642,2661,2577,2586,2715,2728,2778,2886,2895,2798,2576,2528,2613,2642,2722,2628,2714,2714,2803,2638,2646,2577,2466,2530,2574,2608,2613,2678,2775,3086,2462,2345,2326,2487,2313,2435,2460,2410,2306,2214,2072,1898,1855,1746,1633,1440,1365,1212,1085,936,868,763,747,668,608,586,479,429,430,375,359,328,298,264,245,190,209,212,147,135,125]
[72,95,96,97,102,139,140,152,165,204,218,256,294,331,382,419,491,531,684,755,874,1032,1173,1292,1369,1516,1684,1877,1839,1779,1888,2052,2094,2201,2190,2398,2451,2904,2355,2189,2294,2350,2404,2489,2486,2580,2686,2606,2494,2503,2407,2525,2569,2539,2570,2738,2721,2636,2641,2467,2471,2561,2607,2654,2515,2816,2865,2767,2701,2604,2605,2662,2731,2646,3196,2981,2966,2874,2746,2700,2673,2644,2687,2691,2783,2787,2915,2850,2757,2529,2675,2753,2672,2752,2746,2791,2893,2744,2548,2677,2598,2632,2681,2590,2686,2677,2707,2663,2718,2529,2561,3032,2439,2410,2392,2602,2527,2378,2128,2002,1871,1853,1787,1596,1473,1362,1219,1101,1016,817,798,689,691,586,565,526,480,398,407,361,345,295,264,254,222,206,178,156,163,142]
[76,69,101,112,111,120,157,151,179,212,202,282,297,318,412,432,485,574,648,756,978,1002,1174,1296,1415,1659,1840,1860,1888,1777,1761,2017,2214,2217,2303,2381,2432,2371,2189,2105,2713,2312,2456,2477,2435,2585,2726,2630,2479,2410,2516,2435,2582,2577,2531,2604,2697,2755,2584,2510,2480,2546,2538,2608,2670,2745,2872,2692,2681,2632,2627,2525,2612,2738,2664,2762,2917,3473,2780,2497,2709,2640,2761,2673,2747,2807,2796,2830,2775,2644,2550,2556,2698,2660,2645,2798,2783,2898,2703,2617,2581,2704,2665,2712,2585,2753,2798,2738,2650,2521,2522,2465,2587,2474,3005,2542,2581,2435,2296,2152,2041,1899,1798,1667,1475,1362,1189,1096,970,867,815,697,698,540,588,484,461,405,394,340,345,306,281,239,213,197,184,155,135,145]
[60,57,86,112,127,153,123,147,197,204,207,264,313,355,411,426,508,593,690,757,889,1041,1215,1365,1512,1688,1994,2128,2029,1771,1710,1949,1990,2205,2267,2376,2684,2613,2315,2113,2206,2353,2885,2479,2514,2618,2852,2810,2636,2499,2401,2386,2563,2441,2585,2621,2855,2882,2630,2543,2455,2496,2548,2557,2607,2858,2962,2937,2693,2498,2481,2471,2643,2731,2699,2735,3007,3105,2752,2599,3083,2606,2674,2692,2641,2902,3047,2976,2589,2549,2536,2632,2926,2572,2657,2893,2943,2888,2631,2554,2584,2610,2650,2650,2626,2720,2963,2946,2693,2565,2387,2396,2388,2353,2485,2602,2767,3116,2219,2196,2141,2023,1876,1683,1548,1349,1173,1047,954,917,813,776,637,602,529,476,468,428,352,358,295,277,250,227,197,166,174,168,132,111]
[68,68,88,109,134,133,133,167,191,194,202,260,315,346,423,432,531,581,684,760,868,1078,1248,1448,1815,2100,2589,2504,2557,2059,1967,1939,2115,2150,2364,2842,3136,3017,2833,2407,2278,2289,2351,2574,2629,3617,3309,3118,2824,2522,2528,2503,2568,2554,2643,2956,3223,3246,2885,2683,2459,2561,2617,2670,2729,3182,3377,3209,2952,2737,2513,2658,2671,2615,2877,3261,3310,3147,3063,2703,2574,2628,2550,3276,3005,3374,3289,3309,2985,2752,2595,2564,2732,2618,2880,3079,3395,3282,3076,2691,2620,2531,2609,2678,2764,3174,3335,3143,2932,2838,2501,2475,2433,2399,2615,3211,3315,2911,2636,2316,2595,2009,1822,1612,1437,1349,1230,1085,1053,825,781,722,659,604,581,502,473,416,383,310,283,281,245,208,216,190,173,168,139,132]
[76,70,95,106,114,125,132,157,170,192,234,305,281,346,391,457,503,597,644,751,944,1101,1299,1561,2109,3004,3579,3339,3591,3015,2501,2153,2076,2368,2755,3686,4111,3713,3473,2974,2563,2480,2432,2640,3033,3821,4235,3940,4237,2983,2780,2583,2571,2572,3017,3770,4074,3813,3432,3047,2614,2607,2560,2663,3075,3917,4146,3866,3683,3162,2743,2606,2696,2763,3306,3825,4194,3915,3732,3169,2821,2599,2697,2827,3275,3817,4890,3921,3583,3042,2664,2602,2610,2914,3302,3928,4109,3842,3465,3122,2735,2607,2741,2843,3348,3703,4101,3870,3400,3039,2672,2539,2570,2764,3253,4147,4062,3705,3218,2802,2207,2120,1899,2002,1461,1313,1229,1091,1078,887,803,713,687,626,567,561,442,397,355,338,276,264,242,217,201,171,160,133,152,121]
[77,76,85,98,96,122,128,172,172,223,263,253,293,315,487,464,504,620,632,815,920,1066,1200,1531,2420,3276,3931,3870,3821,3173,2338,2189,2101,2448,2927,3960,4619,4144,3693,3194,2731,2465,2401,2613,3105,3909,4357,4257,4065,3519,3002,3240,2497,2623,3180,3837,4441,4037,3666,3326,2898,2700,2594,2764,3256,4099,4374,4197,3769,3465,3047,2699,2650,2862,3437,4086,4677,4152,3790,3417,2984,2566,2565,2915,3315,4273,4585,4142,3955,4038,2780,2622,2605,2926,3512,4479,4452,4235,3753,3246,2779,2623,2585,2897,3458,4161,4571,4246,3679,3178,2836,2464,2572,2700,3340,4337,4555,3914,3686,2925,2425,2144,1828,1767,1486,1365,1460,1139,985,868,841,740,617,577,529,506,430,427,381,319,316,241,221,223,187,185,159,157,157,112]
[81,95,98,108,117,147,145,183,180,248,242,251,334,362,388,459,660,623,801,844,996,1118,1399,1741,2366,3171,3411,3435,2768,2090,1996,1934,2226,2691,3288,3900,3674,3439,2889,2508,2323,2227,2601,2898,3462,3804,3803,3674,3076,2674,2518,2505,2646,3607,3361,3789,3625,3356,2945,2646,2434,2486,2720,3009,3368,3814,3763,3544,3140,2659,2648,2579,2775,3044,3372,3686,3791,3528,3038,2732,2518,2602,2773,2982,3502,3770,3875,3619,3275,2855,2558,3072,2808,2992,3590,3767,3945,3584,3021,2745,2539,2563,2748,3186,3504,3885,3695,3519,2955,2658,2339,2470,2586,3142,3503,3661,3560,3298,2634,2286,2008,1741,1680,1514,1355,1205,1080,1076,1091,792,666,685,635,517,485,436,393,339,337,282,288,248,242,204,180,153,156,111,126,96]
[71,56,69,106,109,123,135,159,163,176,222,253,249,321,371,404,457,552,603,911,837,923,1061,1205,1378,1730,2164,2650,2551,1937,1769,1767,1808,1910,2138,2396,2768,2965,2841,2350,2271,2121,2193,2314,2392,2680,2909,3162,3079,2564,2332,2344,2364,2594,2665,2788,3651,3143,2932,2516,2430,2483,2435,2561,2662,2825,3053,3270,3034,2745,2525,2471,2499,2496,2627,2891,2973,3260,3050,2634,2509,2456,2502,2547,2726,2797,2996,3187,3031,2771,2455,2461,2462,2440,3127,2894,3123,3210,3100,2671,2523,2454,2489,2491,2636,2859,3103,3348,2969,2538,2339,2323,2290,2395,2491,2719,2926,3087,2682,2299,1972,1800,1785,1613,1405,1340,1153,1038,1029,847,736,841,641,614,536,474,467,350,385,323,281,274,238,218,205,213,153,133,124,95]
[53,68,78,85,117,136,132,166,179,207,205,257,273,302,378,413,471,538,676,765,881,990,1389,1188,1344,1534,1804,2069,1963,1686,1689,1705,1842,1943,2129,2266,2433,2477,2316,2144,2171,2134,2128,2331,2408,2417,2617,2679,2497,2394,2308,2276,2363,2393,2444,2607,2742,2756,2696,3004,2406,2334,2505,2564,2624,2771,2765,2800,2536,2449,2511,2444,2541,2521,2539,2777,2899,2835,2655,2550,2480,2417,2371,2458,2598,2639,2792,2835,2678,2473,2365,2466,2420,2448,2595,2591,3330,2771,2547,2468,2485,2445,2440,2542,2454,2580,2753,2775,2529,2376,2277,2233,2154,2233,2343,2484,2583,2484,2336,2091,1933,1932,1787,1664,1513,1232,1184,1030,847,844,714,694,637,522,590,486,391,386,320,320,282,263,263,234,191,182,144,127,131,123]
[69,73,90,80,122,132,126,143,154,194,207,225,269,304,359,445,464,559,635,673,861,960,1021,1167,1195,1685,1649,1777,1785,1677,1734,1847,2013,2100,2034,2158,2205,2246,2191,2054,2090,2130,2171,2207,2212,2305,2523,2370,2453,2282,2262,2313,2430,2376,2428,2535,2574,2586,2483,2460,2304,2378,3016,2468,2534,2586,2748,2561,2588,2415,2409,2378,2501,2526,2480,2686,2604,2606,2567,2480,2472,2485,2541,2492,2499,2724,2646,2662,2581,2494,2502,2435,2536,2445,2465,2545,2760,2646,2504,2449,2912,2532,2427,2466,2403,2463,2601,2598,2527,2335,2270,2298,2324,2228,2321,2323,2451,2269,2109,1929,1888,1771,1652,1584,1353,1200,1156,1011,913,778,673,614,589,542,518,476,417,469,371,333,310,271,217,227,216,155,163,157,120,104]
[59,63,80,84,120,114,148,158,160,199,224,253,255,297,348,374,449,518,585,669,822,951,1046,1133,1231,1427,1548,1728,1974,1663,1741,1900,2042,2075,2402,2329,2256,2240,2251,2058,2097,2138,2225,2282,2351,2481,2405,2400,2358,2235,2217,2399,2420,2403,2473,2566,2616,2660,2530,2404,2443,2457,2503,2535,2466,3112,2564,2626,2485,2473,2411,2491,2616,2391,2609,2661,2655,2522,2467,2386,2537,2504,2588,2436,2620,2602,2573,2592,2480,2363,2497,2395,2465,2374,2506,2676,2687,2645,2591,2366,2381,2487,3057,2530,2378,2616,2501,2542,2388,2279,2236,2343,2366,2324,2385,2385,2297,2261,2102,2007,1834,1790,1693,1582,1337,1199,1092,1043,918,790,689,675,616,544,494,463,430,426,347,313,332,231,227,195,157,152,158,137,119,100]
[62,78,106,85,114,133,127,123,168,209,236,227,272,306,371,400,473,552,649,733,875,998,1053,1209,1290,1511,1673,1784,1705,1622,2053,1738,2054,1960,2116,2197,2315,2339,2171,2020,2072,2046,2255,2257,2233,2317,2465,2512,2346,2151,2277,2281,2387,2369,2452,2614,2670,2623,2536,2345,2416,2454,2588,2484,2460,2579,2664,2749,3028,2423,2304,2432,2503,2532,2476,2625,2590,2685,2425,2401,2424,2431,2474,2479,2458,2461,2584,2653,2470,2352,2376,2405,2376,2455,2418,2627,2737,2731,2521,2446,2655,2353,2413,2373,2341,2991,2623,2582,2371,2202,2316,2264,2293,2188,2216,2286,2401,2300,2161,1973,1961,1727,1574,1485,1319,1247,1117,983,898,780,785,605,550,510,474,469,406,389,357,311,262,259,260,219,155,168,146,126,110,119]
[62,67,86,97,107,120,126,155,175,195,203,242,264,321,354,385,433,556,602,685,862,950,1110,1223,1381,1527,1900,1998,1809,1586,1624,1703,1822,2344,2133,2268,2468,2580,2223,2085,1969,2157,2092,2244,2236,2477,2706,2714,2427,2254,2172,2209,2361,2361,2386,2509,2825,2836,2656,2375,2356,2269,2302,2423,2433,2645,2783,2964,2676,2457,2317,2724,2435,2369,2491,2711,2906,2741,2527,2364,2235,2410,2375,2396,2419,2541,2761,2728,2400,2278,2185,2398,2423,2474,2584,2662,2917,2847,2563,2328,2355,2249,2363,2383,2437,2554,2763,2776,3050,2218,2154,2196,2176,2203,2306,2484,2772,2629,2235,2084,1894,1817,1681,1549,1380,1237,1049,1006,926,784,748,683,653,577,510,434,342,371,309,292,249,269,219,196,196,193,159,107,118,110]
[86,66,71,85,103,130,156,143,174,185,171,226,259,323,340,388,446,522,594,681,788,994,1100,1244,1582,2005,2484,2540,2417,1941,1799,1716,1910,1950,2254,2788,3689,2992,2864,2398,2168,2095,2212,2218,2449,2866,3297,3076,2959,2611,2204,2247,2333,2330,2665,3037,3343,3160,2985,2516,2392,2312,2368,2457,2697,3128,3407,3233,3006,2674,2366,2337,2484,2491,3247,3158,3295,3314,2894,2548,2433,2330,2451,2474,2552,2972,3095,2951,2703,2434,2267,2381,2390,2475,2694,3217,3299,3154,2937,2698,2380,2420,2337,2450,2646,2990,3311,3081,2800,2560,2157,2761,2231,2212,2577,3126,3179,3062,2556,2330,2093,1908,1679,1467,1339,1152,1013,1011,882,795,747,658,615,548,491,404,370,390,282,286,278,232,185,197,192,153,161,131,166,105]
[77,82,95,99,107,97,133,120,162,185,181,212,271,286,352,362,465,468,567,643,716,905,989,1260,1771,2372,3206,3563,3371,2774,1927,1832,1845,2018,2696,3402,3692,3722,3229,3494,2344,2171,2212,2293,2862,3501,3840,3747,3486,2870,2386,2186,2276,2428,2887,3792,4017,3835,3600,2971,2541,2422,2310,2461,3077,3733,4273,4209,3818,3279,2625,2390,2317,2512,3072,3809,4344,4985,3738,3346,2613,2398,2461,2458,2812,3717,3965,3668,3354,2756,2354,2365,2298,2485,3181,3947,4252,4024,3646,2920,2452,2446,2288,2502,3082,3722,4188,3741,3344,2905,2315,2264,2208,2426,3585,3969,4159,3582,3117,2382,2041,1765,1599,1474,1300,1160,1061,981,852,809,698,633,609,506,466,469,359,345,322,265,255,238,207,163,183,146,117,112,114,118]
[76,70,88,81,85,113,158,142,131,166,190,249,238,269,302,377,442,524,563,672,799,920,1042,1280,1743,2728,3520,3771,3540,2615,2039,1885,1828,2145,2744,3458,4054,3940,3563,3064,2418,2159,2094,2735,2959,3890,4210,3879,3694,3035,2495,2263,2250,2399,2994,3786,4507,4198,3806,3122,2631,2349,2319,2481,3005,3736,4481,4226,4106,3347,2740,2432,2273,2547,2846,3802,4432,4033,3863,3228,3091,2352,2312,2537,2926,3597,4017,3736,3326,2861,2447,2260,2385,2679,3408,4614,4589,4091,3633,2941,2450,2357,2312,2659,3303,4336,4510,3950,3598,2804,2397,2196,2207,2551,3093,4133,4425,3961,4023,2515,2122,1759,1582,1458,1336,1117,1048,967,919,773,677,638,565,536,467,408,400,408,337,275,252,215,212,193,161,145,125,102,92,109]
[72,64,78,88,105,92,129,138,139,205,221,221,254,311,333,371,439,508,556,657,819,833,1029,1165,1568,2200,3020,3255,2853,2141,1753,1653,1824,1941,2410,2828,3157,3507,3088,2558,2203,2028,2023,2231,2432,3056,3990,3560,3174,2685,2314,2176,2190,2328,2597,3223,3552,3687,3342,2897,2441,2284,2317,2351,2727,3335,3672,3769,3701,2926,2428,2386,2346,2426,2802,3321,3469,3753,3239,2878,2441,2298,2263,2885,2774,3153,3292,3288,3040,2576,2273,2185,2273,2380,2863,3385,3800,3585,3339,2754,2363,2255,2325,2415,2667,3106,3557,3486,3057,2513,2194,2109,2121,2230,2584,3059,3532,3337,2882,2266,1919,2047,1518,1410,1207,1199,979,882,850,745,738,598,535,466,427,413,339,306,323,291,251,244,199,177,166,155,116,140,102,90]
[66,61,71,95,103,96,142,139,144,174,180,180,273,288,297,359,427,434,516,660,718,856,1008,1030,1302,1546,2109,2379,2225,1720,1481,1508,1666,1783,1949,2182,2477,2891,2610,2196,1993,1966,1968,2061,2176,2425,2800,2903,2694,2658,2120,2084,2113,2257,2260,2504,2864,3012,2745,2332,2147,2156,2140,2279,2279,2609,2955,3157,2892,2475,2214,2178,2265,2213,2331,2608,2892,3003,2791,2401,2240,2235,2265,2232,2320,2511,3322,2758,2640,2293,2203,2062,2207,2144,2296,2406,2831,2920,2775,2340,2179,2182,2157,2233,2151,2414,2873,3022,2657,2179,1943,1996,2033,1929,2179,2427,2845,2734,2303,1918,1731,1591,1524,1399,1455,1116,985,838,780,718,592,575,530,434,424,371,346,338,301,265,244,203,195,214,147,143,126,96,87,97]
[64,65,57,92,93,108,105,137,115,175,190,201,231,260,298,426,412,461,538,616,709,878,954,1050,1224,1386,1678,1776,1592,1457,1435,1543,1662,1654,1763,1936,2261,2234,2047,1942,1841,1927,1844,1918,1918,2051,2243,2401,2215,2010,1986,1953,2432,2007,2076,2229,2479,2506,2365,2165,2141,2020,2124,2211,2240,2253,2637,2642,2361,2151,2081,2141,2133,2214,2204,2407,2568,2553,2308,2152,1992,2022,2132,2126,2118,2153,2458,2462,2224,2041,2476,2073,2134,2063,2098,2296,2406,2476,2291,2125,2069,2110,2153,2015,2135,2289,2447,2540,2249,2095,1920,1867,1888,1862,1839,2155,2452,2320,1914,1709,1558,1581,1464,1348,1170,981,932,1032,692,671,595,536,459,426,406,375,313,326,267,237,261,205,173,151,154,128,124,100,86,69]
[56,67,85,84,96,87,120,126,122,166,170,219,189,257,279,304,351,431,522,566,705,826,963,1007,1165,1279,1558,1579,1440,1426,1521,1590,1781,1867,1699,1862,2080,1955,1923,1797,1772,1946,2009,1901,1858,1973,2118,2080,2053,1998,1870,2007,2114,2150,2051,2563,2209,2229,2169,2151,2005,2148,2277,2190,2174,2320,2342,2445,2282,2090,2063,2226,2258,2175,2107,2275,2352,2191,2165,2083,1969,2106,2242,2071,2068,2166,2286,2287,2248,2019,1981,2043,2119,2549,2021,2151,2365,2183,2238,1941,1913,2116,2117,2054,2032,2141,2302,2215,2153,2080,1935,1975,2029,1939,1850,1997,2138,2011,1956,1675,1581,1565,1568,1311,1166,1007,892,831,743,657,690,492,463,387,404,411,320,301,277,238,232,176,216,163,162,144,116,105,103,71]
[53,73,74,97,89,100,112,111,172,158,164,206,204,234,294,304,375,422,443,566,714,948,954,1033,1181,1494,1566,1537,1434,1406,1458,1790,1811,1795,1795,1924,1929,2094,1852,1690,1738,1961,1975,1858,1919,2043,2127,2086,2017,2005,1883,2014,2123,2033,2015,2191,2262,2212,2594,2084,2119,2188,2286,2112,2143,2371,2364,2342,2183,1995,2133,2206,2195,2087,2132,2186,2349,2254,2088,2045,2095,2094,2212,2099,2078,2228,2342,2281,2169,1986,2046,2042,2226,2101,2081,2701,2236,2183,2056,1874,2018,2131,2106,2070,2129,2173,2282,2224,2058,1941,1985,2056,1970,1861,1906,2012,2094,2058,1801,1748,1560,1514,1377,1217,1090,928,816,733,679,554,543,450,428,457,358,310,318,270,270,237,204,187,173,152,160,116,99,105,109,77]
[59,72,81,77,81,85,115,127,145,144,167,205,199,231,280,270,350,350,405,478,665,763,911,993,1408,1338,1607,1651,1527,1355,1415,1555,1637,1676,1660,1844,1950,1990,1861,1690,1671,1759,1924,1822,1874,2030,2099,2138,1945,1891,1823,1917,2031,1994,2037,2244,2305,2422,2140,1964,1997,2527,2152,2045,2080,2231,2436,2336,2133,1941,2122,2002,2047,2091,2111,2129,2338,2273,2086,1948,1947,2082,2077,1959,2095,2211,2350,2294,2186,1906,1933,1961,2022,1968,2026,2191,2242,2271,2456,1825,1883,1992,2023,1956,2025,2170,2217,2133,2041,1846,1940,2026,1992,1908,1810,2121,2037,2040,1793,1682,1605,1581,1369,1088,1019,889,885,755,669,516,542,477,414,357,329,331,348,243,228,222,202,193,153,148,126,128,127,95,105,91]
[59,84,91,77,105,102,135,144,135,179,181,189,248,260,321,384,399,465,555,654,812,945,1106,1264,1551,1853,1730,1494,1298,1287,1406,1425,1539,1692,1913,2100,2161,1751,1512,1647,1633,1706,1840,2195,2160,2393,2128,1836,1741,1747,1836,1815,1971,2234,2252,2505,2342,1957,1775,1879,1866,1894,2012,2155,2512,2591,2400,2116,1794,1951,1975,1955,1998,2081,2366,2493,2316,2039,1803,1855,2333,1989,2024,2077,2384,2422,2282,1997,1805,1796,1913,1921,1897,2003,2326,2557,2294,2059,1763,1722,1851,1899,1923,2136,2486,2680,2309,2042,1821,1876,1769,1729,1764,2036,2337,2433,2065,1922,2057,1603,1413,1247,1043,952,893,702,683,608,511,461,429,430,346,301,270,264,267,213,175,189,166,159,141,100,115,105,101,83,63,69]
[65,55,57,77,77,78,98,133,130,132,145,188,200,237,262,274,311,356,433,458,589,659,873,1025,1343,1849,2301,2395,2044,1593,1410,1447,1504,1594,1764,2273,2566,2516,2417,1863,1643,1629,1672,1800,2511,2647,2888,2779,2417,1984,1754,1771,1784,1964,2341,2849,3119,3114,2495,2199,1771,1916,1926,1935,2268,2952,3273,2956,2661,2133,1967,1899,1937,2024,2286,2747,3080,2975,2458,2108,1860,2290,1900,2018,2487,3017,3059,2741,2347,1994,1861,1920,1918,2007,2179,2759,2753,2780,2290,2002,1785,1751,1803,1923,2326,3094,3406,2991,2476,1932,1765,1706,1763,1882,2388,3078,3276,3154,2468,2161,1538,1467,1273,1070,979,810,810,699,629,542,448,456,392,334,331,285,270,235,185,208,180,133,158,132,119,105,101,89,90,57]
[48,52,72,64,81,85,95,95,124,133,177,149,172,229,238,254,308,362,337,477,518,630,777,1024,1634,2504,3249,3496,3224,2196,1693,1443,1547,1614,2088,2972,3530,3620,3494,2508,1962,1692,1706,1851,2518,3553,4008,4380,3167,2401,1889,1783,1851,2045,2900,3921,4124,3802,3343,2605,2038,1922,1852,2168,2828,3902,3948,3656,3540,2686,2054,1997,1909,2015,2682,3533,4109,4069,3476,2525,1927,1908,1892,2097,2808,4868,4072,3789,3447,2516,2020,1905,1946,2099,2539,3566,3851,3600,3220,2443,1965,1774,1756,2113,2899,4167,4359,3867,3212,2381,1986,1747,1854,2157,3109,4163,4235,3694,2899,2078,1527,1371,1413,1000,909,781,717,619,578,510,472,412,375,343,352,284,278,255,213,204,168,139,114,133,105,102,106,74,65,67]
[60,54,53,74,68,73,103,101,105,125,144,160,170,207,206,272,276,301,330,414,484,722,710,1072,1649,2950,3580,3722,3076,2009,1533,1319,1411,1729,2260,3098,3538,3800,3353,2321,1674,1621,1667,1949,2760,3892,4149,3861,3437,2442,1832,1605,1636,2009,2980,4074,4260,3985,3523,2948,1892,1700,1871,2084,2978,4002,3996,3718,3376,2477,1883,1763,1770,1944,2704,3797,4224,3995,3209,2176,1756,1626,1744,2116,2943,4107,3974,3802,3352,2382,1797,1668,1765,1982,2718,3671,4632,3638,3056,2131,1778,1612,1752,1992,3199,4401,4166,3555,3084,2264,1789,1578,1741,2088,3523,4926,4456,3819,2949,1818,1384,1182,1119,993,814,722,664,622,528,489,410,340,353,388,286,259,242,234,210,171,174,139,135,127,102,88,92,88,70,67]
[53,63,65,69,72,80,93,95,117,108,154,141,181,199,200,216,269,283,330,370,455,493,596,722,1468,2235,2561,2844,2183,1463,1195,1209,1204,1433,1871,2352,2796,2974,2374,1734,1344,1285,1426,1673,2213,2786,3114,3034,2688,1825,1476,1404,1410,1636,2016,2623,2993,2879,2701,1946,1598,1419,1801,1567,2157,2398,2881,2797,2553,1795,1544,1411,1489,1572,2002,2642,2947,3125,2479,1802,1451,1479,1591,1771,2285,2968,3245,3184,2496,1857,1538,1396,1538,1648,2077,2711,2901,2963,2553,2116,1463,1413,1410,1654,2248,2914,2994,2810,2380,1673,1464,1379,1409,1643,2477,3259,3045,2905,2157,1503,1090,964,870,798,692,597,566,519,485,417,419,317,302,298,239,243,245,167,174,193,172,130,116,111,89,87,61,86,58,56]
[52,55,63,88,78,81,94,102,113,129,146,156,183,202,199,244,241,281,312,368,412,433,548,635,912,1139,1631,1651,1937,1115,1006,1093,1190,1190,1359,1585,1982,2041,1838,1311,1194,1191,1296,1343,1705,1952,2283,2385,2002,1508,1335,1312,1350,1384,1638,2010,2379,2422,1951,1528,1408,1353,1475,1421,1705,2454,2392,2370,1888,1529,1386,1358,1326,1361,1638,1950,2219,2235,1787,1413,1350,1281,1392,1504,1724,1934,2317,2409,1916,1514,1346,1339,1483,1427,1655,1883,2140,2282,1962,1458,1337,1290,1500,1416,1530,1957,2110,2117,1655,1342,1166,1238,1180,1206,1555,1994,2128,2005,1551,1174,945,875,837,693,699,622,538,444,389,393,307,336,278,272,259,189,211,192,158,159,159,141,96,103,88,88,83,68,62,54]
[51,61,54,38,81,71,94,89,99,102,116,138,172,160,179,212,257,224,301,306,370,421,464,524,668,785,1092,1211,1048,970,873,1049,944,963,1083,1250,1456,1395,1258,1123,1084,1140,1085,1174,1312,1497,1828,1721,1408,1271,1194,1169,1252,1221,1376,1637,1927,1838,1522,1322,1271,1234,1352,1241,1398,1516,1759,1848,1836,1360,1273,1199,1215,1265,1297,1448,1664,1615,1421,1232,1231,1216,1218,1184,1355,1441,1705,1740,1449,1259,1155,1181,1162,1186,1272,1495,1688,1609,1382,1220,1156,1131,1149,1195,1263,1893,1677,1644,1279,1138,1082,1086,1117,1123,1333,1590,1656,1475,1148,938,804,757,720,632,608,499,444,391,349,362,325,311,256,253,230,181,198,190,174,141,136,133,124,138,96,71,68,70,61,58]
[61,52,53,72,73,75,73,104,103,125,128,160,143,162,165,173,228,242,272,299,343,376,457,474,556,620,832,832,877,818,859,841,854,890,1207,1075,1075,1127,1012,975,975,1053,1030,1095,1121,1229,1308,1221,1258,1181,1093,1102,1139,1162,1235,1376,1389,1349,1233,1193,1123,1103,1206,1218,1291,1320,1427,1470,1394,1260,1153,1397,1189,1199,1305,1289,1348,1276,1233,1138,1108,1118,1064,1155,1146,1301,1359,1240,1318,1141,1108,1076,1136,1149,1156,1243,1243,1268,1228,1182,1017,1049,1013,1103,1126,1226,1216,1139,1411,1060,932,1002,1014,954,1093,1124,1129,1047,894,782,739,724,620,632,506,443,433,403,330,319,287,282,210,221,202,192,169,162,152,131,120,97,98,88,80,82,96,60,64,53]
[55,54,59,71,69,96,66,84,106,121,119,115,151,154,174,178,216,219,235,287,314,306,418,420,508,551,651,703,746,725,799,838,790,863,951,1001,1019,1180,984,922,927,971,982,997,1066,1046,1096,1105,1127,978,1014,1023,1067,1096,1130,1095,1179,1176,1164,1062,1206,1056,1085,1174,1146,1144,1223,1232,1228,1088,1144,1105,1047,1059,1367,1167,1228,1221,1181,1100,1052,1057,1096,1076,1128,1169,1178,1151,1124,1131,1158,993,1096,1047,1150,1110,1082,1123,1051,1042,1035,1069,1028,1068,1031,1021,1054,1018,1037,978,1004,1091,991,942,934,932,850,902,809,649,700,610,601,495,453,411,362,335,325,263,244,211,198,170,171,177,151,144,116,112,99,90,75,98,78,71,60,62,70,53]
[42,52,64,63,69,74,84,82,103,94,104,133,132,154,140,152,235,234,225,257,290,323,366,389,399,477,543,566,618,646,646,714,760,780,822,784,812,774,881,806,829,871,846,942,923,903,919,953,917,916,897,902,947,959,1193,1007,1073,1006,991,1018,947,947,977,1010,1056,1026,1057,1018,1017,1014,997,988,1031,1024,1016,1011,982,1072,978,1008,1011,965,937,974,930,976,991,971,920,986,934,1129,924,966,984,941,962,954,914,943,905,909,903,880,923,931,887,853,834,851,859,773,788,834,823,738,754,704,684,621,546,588,517,443,444,387,378,320,347,230,250,198,192,182,158,140,149,129,127,126,88,90,89,67,82,68,63,38,67,40]
[40,56,49,64,53,75,80,78,89,97,98,108,124,115,143,171,176,183,228,271,267,282,315,330,398,396,459,537,529,499,506,551,624,624,639,711,685,668,656,719,668,710,727,702,781,789,766,753,790,771,750,773,753,810,756,835,839,1022,844,786,782,830,813,859,888,859,834,838,869,835,789,838,858,827,852,834,856,898,832,852,802,830,840,838,832,865,841,843,850,785,734,829,819,811,1035,752,804,819,791,787,732,754,781,747,759,784,742,785,763,702,709,678,645,650,668,634,626,587,590,522,521,441,460,417,382,378,350,294,283,256,224,246,211,175,143,137,129,128,111,98,97,93,89,83,61,57,51,59,50,39]
[41,47,48,62,53,87,67,73,71,85,76,112,123,123,143,144,161,198,220,223,232,262,313,282,300,330,387,416,458,436,473,441,521,540,549,566,558,569,580,592,589,558,623,594,605,695,677,692,680,632,653,638,632,659,761,718,707,716,726,878,649,677,704,742,710,728,725,792,723,720,708,689,668,743,737,750,746,734,693,726,647,645,740,669,715,703,728,733,684,666,686,705,633,662,723,732,695,828,647,638,611,632,645,653,650,628,608,667,626,626,585,559,601,519,531,509,496,519,484,434,445,390,382,367,335,342,280,260,259,225,202,185,150,180,162,144,118,123,98,106,102,69,62,70,62,56,49,49,44,40]
[44,44,44,54,61,51,62,86,78,86,92,98,102,133,139,167,162,154,198,178,211,221,256,233,276,344,304,329,374,377,428,404,425,401,450,462,504,509,550,473,495,557,562,578,536,613,633,516,589,545,560,575,559,534,619,592,626,676,637,592,625,667,708,629,613,608,662,638,654,627,610,614,600,654,657,627,651,584,647,649,596,625,586,585,576,633,675,666,595,554,636,599,539,571,585,564,609,604,574,530,700,582,509,547,512,546,570,543,530,510,514,489,470,460,458,468,466,452,448,379,387,351,322,348,305,300,271,247,229,222,202,155,169,142,134,117,122,116,89,67,75,87,72,65,45,60,51,45,55,42]
[42,36,58,44,54,74,51,72,83,69,88,90,113,124,114,139,153,173,186,199,225,214,224,228,243,262,300,306,343,336,322,301,395,339,387,420,400,464,440,380,433,422,473,439,449,442,468,484,575,517,528,458,495,517,502,482,549,548,520,503,500,540,470,516,474,682,541,620,553,540,561,518,527,552,546,575,535,563,559,540,542,471,549,496,504,576,498,540,500,509,477,473,471,444,495,520,518,488,475,478,483,443,463,518,441,503,490,460,447,412,443,410,406,391,399,405,429,370,355,331,326,280,272,280,215,246,233,234,216,199,171,141,153,127,111,108,110,101,86,92,105,73,61,46,61,46,36,32,33,40]
[35,40,32,58,52,62,58,62,72,68,91,85,74,109,102,107,157,144,161,154,173,191,189,247,244,215,250,250,274,315,277,380,327,307,351,373,336,412,378,399,347,390,392,420,433,427,414,424,428,430,402,433,440,457,435,428,462,438,504,437,461,427,480,411,497,476,481,499,572,476,480,461,440,462,465,504,471,468,493,466,479,470,461,472,462,498,499,481,478,426,451,429,456,437,469,490,482,445,471,427,378,376,416,396,399,439,533,430,453,414,388,338,365,312,375,335,348,323,303,299,274,264,246,224,231,212,184,203,164,166,152,131,112,118,116,102,97,96,85,77,73,73,60,86,49,55,55,35,33,37]
[43,42,39,48,42,63,53,61,62,69,81,73,78,101,100,121,112,133,171,179,139,160,162,200,204,221,205,221,245,242,266,244,305,297,379,346,352,360,346,334,343,351,368,350,376,378,357,406,407,383,394,417,382,427,411,406,376,448,444,407,412,430,395,409,428,412,445,404,474,396,434,513,444,429,468,441,394,424,416,419,448,451,449,402,448,412,416,403,436,407,350,396,385,428,422,401,434,391,396,375,376,401,386,374,389,369,404,378,407,381,327,313,346,308,351,326,310,269,275,266,247,219,252,237,215,194,203,183,160,145,148,127,130,120,118,99,78,89,92,74,86,62,54,54,49,41,43,36,40,27]
[41,41,40,45,63,52,67,72,73,75,86,79,110,112,109,128,117,131,140,136,153,159,151,161,194,216,221,219,233,235,226,252,263,251,297,376,323,316,313,300,324,348,328,364,353,368,364,340,307,372,334,324,360,394,388,375,372,347,346,374,339,346,405,365,376,373,384,364,348,343,352,366,469,355,371,399,377,373,362,340,332,351,359,374,400,410,381,375,325,356,338,359,376,343,350,363,337,353,301,305,329,287,308,313,310,347,329,324,305,341,289,283,295,288,273,290,267,242,223,207,209,228,203,176,184,174,158,165,137,147,112,130,118,105,93,108,91,81,71,57,44,59,51,50,46,46,32,34,23,36]
[37,37,34,39,45,48,53,58,52,75,72,71,73,85,96,101,112,140,94,113,138,129,122,159,142,163,182,195,199,187,233,208,218,226,214,305,250,236,285,272,262,271,286,252,278,291,353,323,366,314,332,309,298,324,368,341,325,346,332,332,319,328,319,312,340,336,299,314,356,331,342,322,402,317,340,361,335,329,327,314,301,321,330,314,323,321,309,288,323,357,306,295,305,343,332,319,323,303,270,292,283,263,255,267,285,287,305,290,294,289,324,250,237,283,257,229,234,200,208,223,194,195,155,157,164,158,154,158,126,136,109,138,125,105,91,97,69,80,53,60,57,45,45,50,44,48,49,52,36,25]
[37,44,39,51,42,40,66,47,62,60,55,84,62,90,96,101,93,104,121,113,119,103,146,118,140,170,161,189,159,173,187,203,193,221,212,224,232,252,280,245,252,250,245,253,274,243,251,290,314,272,270,306,296,296,265,296,317,281,291,282,302,289,253,296,321,301,306,316,326,324,292,309,277,316,315,378,336,314,311,295,296,275,285,301,285,281,313,309,286,290,262,283,275,290,264,287,293,285,289,274,273,251,266,256,291,264,246,224,260,232,240,213,228,261,224,224,223,198,201,201,167,175,192,170,134,160,154,149,122,126,99,108,90,112,98,67,78,91,71,59,52,66,44,47,47,39,44,37,44,29]
[20,41,29,41,47,34,43,52,68,55,64,77,59,69,83,80,88,89,100,95,98,108,105,129,125,137,133,144,187,141,156,161,191,164,170,202,202,199,224,230,211,232,204,213,248,216,247,241,247,249,246,249,254,290,264,226,304,239,261,244,265,237,263,245,266,270,270,261,258,276,262,257,243,255,283,279,283,284,306,257,253,257,266,263,263,262,253,227,230,265,257,238,218,257,221,248,247,248,262,240,230,208,249,237,239,197,247,235,247,205,203,203,187,211,167,197,235,209,174,191,161,150,162,151,132,130,134,124,135,109,124,81,118,93,88,76,78,73,65,58,44,51,44,34,39,31,34,36,24,35]
[20,31,32,36,25,35,46,54,51,59,47,74,67,70,77,65,78,76,94,92,93,101,106,103,133,109,130,144,141,146,157,144,147,141,157,180,163,193,207,196,209,228,198,224,244,238,235,231,240,227,222,200,220,227,238,231,229,241,234,236,225,207,263,225,217,241,228,223,255,219,220,242,232,241,212,239,221,250,250,239,233,270,248,251,254,211,210,237,227,220,241,229,251,226,231,226,240,213,213,233,205,232,196,214,228,213,195,218,213,197,191,205,185,169,188,160,161,166,144,187,138,148,129,134,147,122,142,120,99,96,103,105,78,85,70,81,66,81,53,67,47,50,25,41,39,33,35,39,32,28]
[31,33,29,37,37,44,33,45,44,38,73,59,60,66,75,69,80,83,87,79,79,77,107,102,89,99,119,109,109,138,122,139,132,151,146,158,173,152,173,190,185,188,181,184,197,184,192,256,196,215,205,197,191,229,195,198,215,237,251,207,207,233,198,241,233,225,249,201,212,248,211,209,213,202,235,228,229,219,225,256,185,216,201,214,255,194,204,199,193,202,197,209,182,199,198,196,182,181,187,202,182,177,202,197,168,182,210,173,163,187,162,158,174,124,182,137,151,139,167,143,156,151,125,119,123,104,99,116,94,100,97,90,82,79,83,63,58,69,57,61,49,59,53,41,32,43,36,48,23,20]
[25,31,23,29,28,34,39,30,49,45,52,61,73,46,49,58,51,70,72,66,79,99,94,101,127,103,105,104,104,131,138,109,113,113,157,159,144,144,165,153,184,155,178,203,183,172,160,171,192,184,205,201,182,194,183,202,179,191,194,219,198,215,176,207,179,185,203,178,192,216,179,209,193,185,211,208,193,192,213,226,191,197,206,199,193,186,190,207,179,187,186,183,193,169,174,190,167,189,162,166,168,179,145,173,170,181,183,167,183,176,157,158,153,148,143,168,145,121,116,132,128,149,111,109,118,94,90,88,90,74,78,74,72,80,81,78,66,49,50,50,41,49,56,37,40,26,33,25,26,34]
[36,25,35,27,33,37,28,34,35,37,51,52,53,42,51,63,59,47,71,75,75,74,87,89,89,101,111,95,82,98,109,102,108,113,112,133,125,133,128,150,121,138,147,149,143,145,148,155,123,156,167,156,149,191,182,156,172,170,146,148,173,150,170,163,195,168,172,169,154,164,153,173,188,175,176,191,175,178,176,159,170,186,185,185,173,188,166,167,173,153,188,184,189,150,160,161,205,152,170,152,145,163,174,148,159,152,170,133,128,136,141,154,131,136,120,95,108,126,118,114,109,115,116,90,111,85,83,119,86,88,81,72,66,73,78,66,47,52,53,58,35,49,38,34,37,35,34,21,33,18]
[21,31,33,29,20,19,33,40,36,42,49,38,41,66,49,51,68,57,64,83,66,72,68,84,92,104,79,72,98,83,81,118,114,102,117,117,113,115,116,119,112,122,146,126,145,123,171,150,152,170,139,154,164,154,146,162,178,198,139,128,157,139,163,162,152,165,165,172,155,161,161,161,160,156,168,163,152,149,157,149,170,159,157,163,150,142,155,151,127,137,143,157,115,180,163,149,140,152,148,153,145,130,145,134,138,151,122,113,142,120,113,127,123,130,126,126,107,98,104,102,102,94,101,90,67,91,86,74,72,60,90,66,64,69,46,55,52,49,45,46,47,38,43,35,34,22,34,23,23,21]
[21,23,32,20,32,28,35,35,38,31,46,40,45,41,39,50,78,62,65,52,61,81,75,82,87,94,88,76,82,104,89,76,86,99,98,117,131,106,118,115,137,131,118,125,137,105,120,122,128,121,124,133,142,131,139,140,134,119,140,175,128,136,152,136,138,169,147,133,134,158,140,129,144,156,133,147,131,148,130,129,149,134,141,147,133,138,136,138,144,115,134,123,132,131,139,133,157,126,121,149,119,121,138,123,117,113,125,102,121,119,112,92,99,127,115,102,105,110,96,82,83,94,87,79,79,74,80,75,80,68,64,63,68,67,57,54,48,42,39,41,42,34,31,25,35,32,18,18,28,24]
[25,33,22,29,32,28,32,30,33,33,41,35,35,49,57,50,61,60,48,49,45,57,59,62,82,60,65,79,66,82,72,84,103,89,87,120,98,106,107,110,104,100,118,117,112,104,127,105,123,118,108,95,121,117,124,120,120,122,121,131,138,151,125,134,129,132,147,123,105,119,133,127,111,126,122,131,115,123,131,115,109,125,137,129,136,134,124,110,104,112,119,105,117,119,118,124,114,117,143,134,115,132,108,119,115,98,112,94,119,99,81,95,91,93,103,81,95,80,77,96,82,85,74,67,78,89,71,54,59,49,62,40,41,63,46,53,48,46,49,28,34,26,42,29,28,28,29,22,16,17]
[19,19,27,24,23,22,21,22,35,41,34,40,39,48,35,45,44,45,50,46,50,52,57,60,44,76,59,69,65,70,73,88,73,81,91,79,82,94,95,94,103,120,108,98,107,104,112,112,126,107,110,104,127,118,117,125,106,119,119,98,122,102,108,107,135,133,117,109,118,122,136,115,131,136,94,120,128,117,105,107,117,108,106,110,111,112,120,118,101,111,105,109,126,103,106,132,104,109,106,109,100,108,117,111,116,81,98,111,102,96,98,98,87,92,81,85,76,85,84,67,87,75,69,73,72,57,68,57,68,49,54,55,49,49,50,51,35,52,28,47,29,43,30,16,29,18,22,21,20,10]
[28,19,23,16,16,32,19,34,27,21,37,36,46,39,43,29,40,31,48,42,55,61,60,54,71,56,72,75,57,54,83,61,76,82,86,91,93,87,79,86,70,78,103,104,100,100,118,96,89,99,91,123,98,94,90,103,102,100,92,114,113,105,102,115,110,109,132,129,98,108,109,116,96,95,95,103,109,113,98,101,105,98,119,97,103,108,89,105,82,105,88,87,97,98,111,102,105,88,84,94,119,107,92,105,101,101,84,81,92,76,88,80,89,76,76,72,63,83,81,61,68,58,65,61,51,58,54,71,64,39,38,52,38,50,40,44,42,33,35,31,29,24,25,27,38,19,27,20,23,30]
[23,12,20,16,28,25,24,23,17,28,23,20,42,29,40,45,33,35,47,40,38,47,58,51,56,61,63,61,58,77,59,80,76,78,70,83,73,54,95,71,89,87,76,71,65,83,100,90,79,86,75,99,95,95,88,90,86,109,108,85,89,95,86,83,99,90,105,86,101,81,118,93,91,85,91,120,87,102,104,104,101,82,99,94,93,75,96,83,97,90,94,85,100,86,85,88,89,97,97,93,92,88,77,96,72,72,62,95,87,68,78,84,59,75,69,62,72,65,69,65,58,56,50,58,56,42,60,46,40,52,34,41,36,50,34,36,27,36,34,33,33,26,28,14,30,17,26,24,19,13]
[16,22,23,24,18,23,24,23,29,36,32,26,34,32,37,34,31,50,38,47,53,45,57,47,51,57,33,52,45,66,54,53,51,53,65,89,63,82,58,76,82,70,77,69,88,76,82,99,74,89,93,74,82,86,72,96,78,111,97,94,87,72,97,112,77,94,76,93,90,97,90,95,95,114,80,87,75,86,77,83,94,80,74,104,85,82,91,97,94,80,68,84,76,86,86,84,96,78,71,70,71,72,68,67,79,77,78,83,66,84,73,68,53,54,64,61,78,61,59,53,50,63,53,62,48,49,49,53,40,39,43,36,35,30,36,32,26,33,39,20,21,19,25,37,20,24,20,21,18,12]

{"sheet":"Figure_1D_layer_8","index":8,"n_rows":150,"n_cols":150,"rows_kept":150}
[5,3,5,5,4,3,7,11,4,6,6,9,4,10,8,16,15,8,10,5,4,9,23,28,26,19,39,31,42,45,41,46,43,43,42,53,48,59,68,57,53,55,60,61,71,76,71,59,73,64,88,73,78,95,70,79,79,80,71,64,87,77,103,88,94,87,93,82,96,89,95,84,95,102,92,97,94,96,98,91,93,99,87,107,91,95,93,101,89,94,105,109,98,98,83,99,94,101,107,94,101,94,80,114,86,87,90,94,87,94,84,83,83,93,98,71,76,81,91,70,69,65,58,72,55,69,48,59,67,58,47,34,40,53,41,36,36,26,34,21,20,24,24,23,23,18,22,24,22,20]
[7,6,2,5,2,1,3,10,6,10,7,13,5,8,16,12,7,10,16,17,16,21,31,22,28,25,28,36,44,40,47,52,55,67,60,50,60,52,73,70,71,72,66,73,80,90,81,113,85,77,84,103,92,82,91,99,99,100,86,77,97,104,97,101,95,105,129,94,96,104,111,116,98,104,92,105,104,115,87,106,104,100,91,110,108,116,94,101,97,128,114,125,107,134,122,114,131,106,118,100,95,117,111,119,104,102,101,86,95,90,113,100,107,103,79,83,76,104,94,82,89,86,88,70,58,67,62,68,50,61,76,48,49,47,47,30,38,33,36,29,32,29,34,18,25,22,15,11,13,13]
[7,7,4,1,5,5,10,8,6,7,6,20,10,8,10,6,10,17,18,17,21,26,32,45,37,37,52,40,48,61,61,54,67,67,65,67,97,99,74,85,87,110,83,92,96,97,100,101,115,93,87,99,115,112,102,108,115,115,120,126,133,123,135,116,113,107,129,113,106,132,130,130,128,107,133,131,112,121,132,133,103,101,121,121,134,141,127,136,133,131,126,118,119,121,133,119,130,119,133,120,147,114,133,134,130,104,98,111,128,110,117,110,103,121,109,122,110,82,80,111,106,109,101,81,85,66,77,55,95,64,53,66,62,58,58,41,44,46,24,30,22,32,28,32,17,23,18,17,11,14]
[7,6,8,4,14,5,7,5,5,8,11,6,17,7,17,18,14,18,16,21,35,24,39,33,44,56,55,52,69,70,43,61,78,97,84,108,85,96,107,104,87,133,127,84,83,112,123,136,127,105,131,118,124,116,150,137,130,159,135,149,116,137,128,104,130,149,116,120,137,137,147,137,144,132,157,142,152,139,148,136,132,128,141,147,142,136,135,147,147,146,143,175,142,165,148,124,167,152,152,178,154,120,151,122,142,146,123,130,125,113,129,128,126,113,129,114,109,129,117,115,107,105,100,105,92,89,74,93,87,78,81,68,67,48,63,42,50,39,42,28,36,29,25,31,27,28,12,14,20,23]
[4,4,11,3,6,10,11,7,8,8,9,12,11,14,22,17,24,20,27,32,32,36,49,55,48,61,59,69,66,73,79,83,89,104,93,102,104,97,112,122,120,156,139,122,135,138,152,154,132,169,152,128,147,158,119,150,174,192,132,158,153,158,173,156,144,136,159,176,172,147,162,170,174,170,181,142,184,157,158,174,151,200,156,168,150,150,171,154,170,164,156,166,174,168,170,185,180,139,169,159,152,135,141,142,149,127,170,147,131,154,171,133,143,146,136,144,133,152,131,129,101,120,106,109,103,103,100,102,103,78,82,78,73,57,62,38,47,48,48,48,40,26,24,33,23,37,27,20,21,16]
[6,5,8,4,5,9,9,3,10,18,13,16,15,20,28,19,29,36,32,24,37,51,64,73,70,62,83,70,72,94,97,103,121,114,125,117,160,131,129,142,148,144,135,146,160,161,159,163,151,171,171,179,152,156,173,147,164,215,184,199,212,163,179,189,160,175,156,198,169,178,194,196,168,185,207,176,196,200,211,194,173,151,158,182,190,197,184,194,205,206,197,185,166,169,175,182,161,167,249,173,190,148,167,171,179,184,174,195,207,168,188,155,170,153,137,147,146,145,140,134,146,133,136,122,110,106,121,94,87,88,90,82,85,71,66,66,51,52,51,35,41,30,28,33,34,27,20,19,28,17]
[5,6,3,4,10,5,14,8,11,11,11,15,25,23,26,43,35,28,39,41,51,54,56,62,69,88,95,92,95,122,102,120,124,111,128,147,152,162,130,164,151,203,154,185,162,158,188,173,182,166,185,183,188,212,226,174,170,210,207,200,172,204,191,214,266,196,223,194,230,197,219,245,211,219,221,223,217,183,219,204,206,211,195,230,207,175,206,207,201,229,191,210,203,174,226,197,208,205,192,225,212,265,172,187,209,208,188,191,216,179,203,159,193,144,180,191,182,150,146,144,179,134,130,131,137,126,125,122,104,97,71,91,78,80,70,70,61,57,57,54,33,34,37,50,32,25,31,26,24,25]
[7,2,7,5,5,11,11,11,21,16,19,20,25,22,35,28,31,44,41,49,67,63,72,97,83,77,104,120,107,114,104,138,129,148,178,154,175,171,168,188,196,193,191,190,202,194,181,200,213,194,195,187,231,223,227,193,204,217,197,196,195,228,230,204,219,192,227,284,229,222,248,207,249,227,242,216,261,259,223,243,236,235,240,251,237,234,243,237,242,205,227,214,224,229,250,217,214,247,222,233,195,226,232,220,270,211,181,219,192,215,201,188,178,209,195,211,199,189,188,162,149,166,162,128,123,132,158,123,132,104,71,100,81,80,74,69,52,62,51,49,33,59,37,42,34,26,29,34,14,28]
[5,8,13,5,13,17,14,18,10,19,17,21,28,32,34,35,42,49,34,64,59,51,89,72,107,111,106,136,131,158,151,148,202,166,175,189,177,178,203,215,192,192,209,232,252,206,204,225,239,243,236,222,246,251,261,252,258,250,262,250,247,256,268,253,267,248,270,255,250,271,318,258,253,244,275,270,270,290,268,272,246,232,246,241,259,288,275,264,247,289,273,238,241,241,249,274,269,230,267,298,260,249,250,241,260,228,242,287,265,259,221,238,218,252,214,228,201,186,185,204,194,156,173,164,169,139,135,121,151,104,94,107,91,93,74,76,92,48,67,47,41,35,31,38,44,30,34,29,35,21]
[8,12,9,8,10,11,13,12,22,22,24,28,26,31,30,59,57,54,64,74,95,79,89,108,115,120,125,165,165,164,172,174,171,203,195,278,229,250,236,209,228,250,268,213,232,254,243,271,270,280,248,287,292,302,268,301,270,288,290,264,278,311,294,296,296,275,243,288,293,315,302,302,285,365,276,318,287,300,304,296,295,319,285,308,274,283,315,294,275,280,281,257,306,295,310,278,268,277,279,289,274,277,303,283,284,283,279,286,253,241,334,245,254,233,243,234,221,231,235,213,192,204,190,183,183,163,146,147,124,131,110,104,121,92,84,74,65,60,66,56,48,47,49,37,35,31,45,32,20,26]
[10,9,12,14,18,13,17,19,11,25,27,33,38,39,58,58,59,62,51,79,80,96,106,117,144,145,124,152,201,191,176,222,196,215,251,231,222,242,297,267,263,299,259,253,282,294,271,304,298,307,279,312,297,298,350,321,329,359,337,328,309,349,358,319,319,297,348,355,332,338,316,326,346,333,333,355,390,319,340,298,321,288,308,315,351,343,342,325,319,318,328,309,355,315,314,322,317,305,322,307,297,290,307,311,333,331,344,295,294,263,278,244,292,309,257,266,261,240,272,222,246,224,205,207,192,186,168,180,153,141,131,132,107,100,94,77,54,69,70,53,61,44,48,30,46,48,33,27,26,29]
[10,13,13,11,15,22,19,13,29,24,34,29,39,41,71,63,76,75,72,99,100,108,135,126,138,190,214,165,196,205,213,217,246,257,277,264,286,288,274,319,284,369,327,332,338,330,321,334,342,331,281,322,332,343,316,302,294,354,346,357,370,331,352,391,351,381,371,328,314,372,379,389,365,368,365,382,369,415,399,471,368,375,391,368,403,361,368,378,372,352,355,356,366,350,344,363,349,357,351,322,312,370,324,319,346,337,320,336,375,336,290,297,322,307,294,261,318,293,308,256,256,234,216,198,214,183,207,170,184,141,130,117,94,116,97,83,70,66,61,43,58,55,57,55,42,36,41,37,24,22]
[10,11,9,12,10,17,25,30,34,33,45,43,49,56,62,77,88,88,90,116,127,132,147,175,167,212,206,236,213,230,243,255,253,277,299,306,296,336,344,344,375,399,353,377,311,421,365,412,379,405,400,356,413,380,387,385,372,372,384,436,436,422,388,386,378,395,388,416,392,439,374,412,419,421,405,424,419,388,443,462,391,412,466,416,421,403,392,407,423,438,421,394,383,382,382,407,394,380,427,441,408,370,402,375,424,414,357,368,342,380,342,349,363,354,323,335,284,315,295,358,310,289,261,235,220,198,196,176,159,175,183,148,114,103,108,95,71,89,60,69,62,71,46,44,34,36,44,40,34,29]
[7,8,15,13,19,27,19,29,32,35,43,54,54,56,81,87,93,78,126,126,140,129,173,193,207,197,270,223,264,283,249,341,318,353,335,358,359,370,365,361,395,370,382,404,416,437,424,510,423,416,484,434,454,458,462,437,426,417,471,437,439,434,476,455,488,468,430,469,477,467,423,463,457,427,479,458,465,457,462,423,479,435,416,468,440,556,455,471,480,470,453,453,422,453,437,500,442,433,450,453,483,419,437,436,412,424,414,432,440,425,399,383,384,403,379,340,343,348,348,326,329,311,367,232,224,227,210,203,210,161,167,141,130,146,104,95,74,86,63,81,80,62,54,46,54,47,36,36,36,38]
[11,18,17,22,21,21,22,33,32,37,63,60,62,83,85,96,94,125,127,145,140,166,207,207,245,242,258,289,305,339,349,378,354,383,394,402,404,456,433,464,431,400,438,455,438,462,466,478,426,462,566,473,485,478,540,535,467,489,514,478,479,481,496,493,529,520,513,532,511,515,519,498,467,511,518,500,522,545,591,556,526,540,485,538,508,529,533,618,511,543,525,486,485,500,499,477,494,507,520,517,468,448,446,502,456,463,442,458,475,455,405,444,411,406,439,387,390,369,376,354,367,350,314,281,300,258,223,226,210,190,162,144,151,154,110,103,97,77,92,70,51,68,51,41,43,41,26,35,28,26]
[15,16,20,25,29,23,37,38,41,43,51,67,79,104,84,118,137,143,187,171,181,216,213,278,286,290,324,309,335,384,332,395,422,454,469,488,519,480,497,466,430,502,477,523,522,530,486,510,523,554,498,547,516,539,518,554,563,591,568,565,527,540,592,582,582,552,555,569,572,526,546,537,543,607,535,580,617,612,589,564,527,594,589,557,537,603,588,600,685,566,587,527,558,533,566,550,550,568,522,534,478,499,501,493,532,520,523,533,480,491,470,449,473,494,462,440,423,424,378,351,355,319,303,307,282,256,246,226,213,202,179,134,154,119,117,106,90,104,87,83,59,58,55,42,49,39,38,43,35,37]
[30,22,16,28,19,30,39,47,47,62,77,87,103,96,145,149,167,164,170,200,237,235,250,296,329,306,350,376,409,401,454,439,433,464,504,521,530,583,577,523,538,536,531,631,577,553,562,597,578,598,578,684,593,585,611,631,612,627,591,586,579,595,642,612,635,599,662,645,643,609,588,624,617,645,635,641,635,636,648,576,647,581,585,597,645,631,645,599,760,615,560,612,612,625,648,629,612,652,567,626,569,604,585,616,540,616,611,574,553,536,506,513,477,490,494,457,478,430,411,401,363,335,352,321,308,255,321,244,223,194,199,173,164,146,136,112,118,85,93,85,74,61,54,51,52,57,61,40,38,33]
[16,14,24,18,26,24,31,29,47,49,60,65,76,103,114,112,145,178,168,208,236,251,250,276,299,363,393,420,428,415,445,483,493,508,545,592,564,642,647,603,609,568,609,577,624,664,624,647,640,630,649,625,657,619,805,703,714,670,700,650,706,634,643,670,651,729,723,719,765,726,700,602,708,734,717,693,745,713,699,662,729,687,714,667,753,650,662,725,687,710,659,822,631,623,717,666,709,693,683,680,684,679,602,685,629,646,627,646,637,663,632,580,583,586,520,532,549,530,474,441,451,436,421,390,410,337,319,293,355,238,226,215,199,176,153,136,129,111,113,98,98,94,72,61,67,65,48,41,46,46]
[21,16,24,33,26,36,37,49,50,61,66,80,104,84,118,174,174,156,207,210,314,286,315,342,366,415,414,437,498,514,480,519,532,573,596,621,659,672,672,665,608,658,586,687,710,731,717,690,705,691,709,708,707,722,712,762,733,879,712,753,743,701,693,775,765,768,787,736,780,802,782,794,731,790,782,826,810,798,768,781,775,797,756,774,808,801,801,850,816,756,791,757,762,758,943,733,749,785,710,731,728,710,681,712,782,716,717,679,726,738,657,670,638,637,645,682,600,585,587,516,487,480,448,436,405,366,362,324,284,284,228,230,223,174,190,154,148,121,92,92,96,92,55,80,53,58,53,51,38,54]
[19,15,29,28,27,31,35,46,58,61,68,94,106,131,146,164,209,195,244,239,244,319,372,439,410,416,468,470,512,536,563,581,564,641,694,668,689,700,694,667,666,690,735,750,749,742,744,788,769,764,768,730,775,735,829,800,835,789,850,760,962,789,794,747,887,826,873,838,835,832,852,863,843,890,881,845,845,878,818,848,886,810,852,869,869,906,862,885,842,819,811,771,806,812,793,843,857,1007,777,781,807,771,708,838,767,765,781,706,738,705,690,720,673,681,656,677,615,636,558,529,484,507,435,459,444,377,381,357,312,290,284,246,221,184,178,192,125,120,93,124,103,70,95,72,62,69,62,47,45,34]
[33,29,37,46,35,39,47,57,56,66,91,106,115,134,161,139,178,207,251,269,326,367,330,413,449,464,621,565,535,567,634,649,696,695,727,741,797,801,784,797,767,847,826,766,860,861,865,860,808,821,847,863,802,886,898,898,928,886,868,897,899,871,950,1060,868,959,938,951,885,980,874,926,882,922,922,956,975,984,966,976,950,860,951,967,902,925,937,948,901,969,951,888,918,893,899,918,927,875,866,908,987,860,834,872,890,870,848,928,814,799,755,809,795,716,707,722,687,678,616,625,555,514,533,489,452,405,399,369,325,292,276,269,226,209,177,214,154,139,133,127,104,74,86,87,89,78,70,65,56,50]
[20,24,24,23,33,55,54,69,85,84,85,112,107,118,151,186,225,228,267,318,345,400,393,440,518,503,555,614,614,606,599,669,702,785,803,857,889,862,869,892,887,891,825,853,880,1072,910,982,905,861,919,951,885,946,999,978,1004,998,1019,989,994,935,970,991,1040,1005,1088,1040,992,1081,1003,1011,984,953,1041,954,1036,1057,991,1065,972,991,1241,1057,1039,1075,1044,1004,997,953,993,1037,1002,987,1018,995,1019,970,978,973,971,915,931,929,961,932,1001,909,893,932,897,892,868,912,805,837,749,722,705,698,786,550,564,485,487,441,414,407,348,339,295,264,249,235,188,154,165,148,137,117,95,88,89,85,80,73,67,59,60,41]
[23,35,27,48,41,44,55,72,71,89,87,131,170,145,163,212,237,236,284,337,378,408,485,454,549,578,659,667,692,700,745,786,835,832,925,881,989,956,969,977,968,953,924,902,950,919,991,1003,1279,998,1032,1005,1066,1054,992,1013,1045,1103,1124,1081,1021,1057,1120,1093,1103,1111,1115,1141,1104,1117,1038,1084,1090,1119,1074,1135,1110,1082,1135,1109,1065,1066,1114,1159,1115,1312,1135,1153,1121,1178,1122,1140,1108,1127,1088,1181,1072,1113,1105,1057,1010,1058,1042,1077,1027,1011,1049,1070,1014,991,923,928,935,938,874,896,846,803,777,708,690,638,714,553,534,479,434,390,369,330,315,292,251,208,211,169,154,160,166,159,109,112,79,97,77,86,65,62,51,44]
[22,29,29,48,53,47,60,59,66,95,115,116,139,163,207,231,253,257,316,376,410,460,567,575,650,680,637,783,803,822,873,867,947,976,986,998,1050,1135,1075,1091,1118,1063,1063,1101,1104,1108,1094,1155,1110,1069,1142,1174,1141,1092,1131,1173,1192,1186,1136,1222,1232,1156,1200,1173,1199,1220,1293,1254,1253,1271,1224,1202,1195,1256,1276,1250,1289,1279,1245,1268,1268,1240,1234,1284,1292,1292,1354,1253,1518,1251,1180,1228,1220,1257,1309,1205,1238,1241,1222,1230,1192,1144,1169,1175,1099,1132,1091,1212,1144,1086,1057,1043,1032,1011,1006,992,922,908,815,832,775,711,646,621,594,504,543,467,436,379,294,271,272,258,201,179,161,194,137,157,133,103,103,90,101,77,76,79,63,58]
[23,28,36,40,54,43,63,62,80,90,105,118,132,160,184,227,277,334,370,387,489,502,571,585,696,749,795,807,935,932,972,1001,1061,1054,1143,1158,1194,1216,1139,1232,1151,1169,1196,1162,1155,1238,1280,1300,1250,1246,1201,1158,1252,1225,1577,1319,1420,1349,1391,1292,1329,1230,1276,1390,1401,1421,1326,1394,1405,1345,1290,1305,1368,1356,1365,1354,1411,1426,1393,1331,1372,1326,1337,1301,1424,1368,1443,1443,1385,1373,1375,1604,1285,1347,1298,1292,1338,1370,1360,1395,1319,1221,1229,1216,1249,1242,1297,1283,1299,1207,1247,1206,1211,1214,1105,1095,1075,1006,949,860,822,788,731,654,591,551,464,493,547,399,357,338,323,259,265,226,183,160,169,158,151,130,110,95,94,97,78,71,70,54]
[35,30,40,39,54,68,59,75,92,90,117,135,109,183,218,235,265,302,353,436,564,565,655,692,823,848,924,986,990,978,1030,1124,1111,1162,1282,1327,1326,1246,1320,1314,1246,1271,1282,1349,1308,1354,1314,1405,1356,1385,1353,1408,1363,1375,1470,1411,1431,1807,1458,1525,1492,1451,1407,1472,1535,1558,1510,1525,1514,1459,1465,1474,1474,1479,1500,1501,1461,1495,1457,1574,1409,1509,1416,1495,1562,1520,1575,1529,1478,1404,1394,1409,1405,1367,1423,1685,1503,1411,1413,1448,1366,1303,1415,1347,1335,1354,1403,1356,1326,1332,1234,1307,1257,1267,1199,1199,1186,1113,956,979,907,857,836,648,667,600,560,476,464,400,424,328,378,307,287,213,223,178,172,151,129,142,131,112,99,74,75,62,47,55]
[34,38,48,51,54,58,81,82,86,98,97,152,153,188,210,253,303,314,363,422,531,620,716,922,972,1015,1073,1163,1229,1193,1230,1270,1331,1319,1547,1487,1566,1455,1497,1434,1437,1436,1415,1507,1487,1531,1489,1545,1556,1559,1440,1412,1486,1511,1669,1713,1630,1717,1612,1580,1854,1608,1563,1703,1672,1704,1707,1718,1643,1620,1705,1608,1689,1614,1726,1788,1733,1706,1704,1759,1624,1617,1634,1716,1796,1845,1778,1712,1706,1638,1569,1653,1577,1650,1682,1695,1683,1961,1616,1613,1607,1546,1521,1550,1593,1673,1634,1593,1560,1453,1539,1450,1470,1531,1500,1457,1401,1246,1167,1076,1022,959,891,783,716,636,614,522,489,434,470,351,358,321,276,291,242,199,178,159,160,155,129,110,106,102,69,76,75,65]
[42,27,44,46,49,60,70,64,95,107,140,162,162,188,197,251,316,347,377,453,550,646,718,940,1052,1200,1659,1377,1392,1403,1422,1468,1584,1605,1773,1845,1867,1721,1797,1619,1615,1558,1682,1675,1698,1791,1794,1835,1800,1722,1593,1623,1671,1748,1894,1854,1928,1873,1787,1712,1818,1787,1840,2232,1993,2065,2078,2013,1895,1883,1872,1814,1857,1928,1926,1981,2064,1940,1878,1820,1811,1849,1829,1883,2029,2079,2089,2000,1943,1898,1939,1878,1817,1950,1980,1927,1908,1901,1864,1736,2141,1737,1764,1847,1878,1910,1981,1895,1747,1608,1627,1636,1636,1671,1632,1666,1622,1478,1311,1283,1136,1054,883,885,835,713,636,596,549,461,439,380,360,300,299,267,255,231,233,186,181,128,125,107,114,115,113,73,81,68]
[39,38,47,41,47,79,76,98,107,116,145,141,176,206,249,286,298,369,374,481,594,701,835,1027,1244,1399,1476,1508,1593,1931,1611,1625,1645,1768,2010,2084,2030,1907,1841,1775,1684,1606,1662,1780,1931,2068,2106,2017,1821,1856,1778,1707,1753,1867,2013,2120,2235,2108,1982,2078,1917,1850,1794,1981,2155,2340,2822,2299,2068,1993,1934,1944,1919,1973,2154,2245,2204,2190,1971,2016,1849,1857,1881,2105,2257,2313,2340,2110,2061,2005,1889,1876,1938,2008,2121,2221,2260,2058,1988,1876,1759,1780,1851,2458,2116,2155,2163,2074,1906,1879,1752,1764,1758,1936,1949,1998,1946,1857,1619,1421,1382,1170,1105,885,778,774,707,595,563,478,471,386,411,318,277,245,260,226,215,200,205,154,126,119,104,90,93,68,73,68]
[46,41,44,61,69,70,96,94,96,107,139,178,179,212,246,319,324,362,470,507,607,695,920,1165,1363,1768,1920,1862,1893,1813,1594,1612,1980,1803,2021,2345,2518,2305,2173,1976,1799,1727,1781,1785,2072,2346,2439,2186,2022,1885,1814,1797,1739,1941,2137,2537,2444,2332,2234,2045,1959,1917,1897,2034,2342,2639,2637,2555,2258,2560,1966,1964,1983,2013,2322,2709,2602,2440,2262,2096,1936,1957,1971,2116,2378,2689,2661,2492,2222,2071,1926,1923,1999,1987,2214,2533,2702,2408,2244,2033,1953,1851,1930,2089,2267,2548,2984,2382,2073,1953,1969,1872,1943,1879,2107,2383,2183,1936,1715,1542,1438,1284,1103,1000,889,825,698,647,553,497,418,429,391,321,282,320,251,238,194,188,167,153,144,151,132,94,96,71,73,58]
[41,47,56,59,67,70,84,103,131,136,170,175,205,220,288,306,361,412,472,600,608,806,901,1180,1619,1979,2248,2181,2279,2101,1799,1862,1810,1923,2815,2758,2840,2727,2472,2120,1918,1920,1866,1936,2265,2585,2614,2600,2323,2186,1906,1966,1937,2101,2347,2702,2722,2549,2411,2189,2081,1900,2078,2194,2376,2873,2803,2779,2568,2362,2020,2052,2446,2145,2483,2872,2853,2517,2396,2259,2029,2041,2140,2148,2602,2882,2858,2560,2470,2213,2110,2112,2086,2182,2431,2999,3041,2774,2594,2232,2122,2026,2051,2129,2440,2919,2914,2771,2489,2677,1968,1968,2019,2079,2524,2838,2704,2319,2116,1777,1504,1434,1218,998,937,801,727,620,581,558,472,433,401,357,324,322,275,240,168,184,200,193,150,120,112,114,122,89,75,82]
[54,62,63,69,86,104,108,126,164,144,174,226,255,271,350,409,443,505,595,724,837,1023,1371,1962,2873,2898,2856,2758,2307,2009,1991,1969,2190,2648,3176,3283,3777,2919,2452,2199,2048,2119,2210,2615,3072,3144,2931,2605,2378,2225,2225,2259,2169,2784,3222,3373,3182,2759,2373,2374,2272,2077,2348,2925,3437,3476,3288,3221,2837,2352,2270,2266,2400,3532,3517,3364,3037,3075,2516,2165,2310,2384,2479,3099,3681,3314,3265,2904,2440,2128,2319,2273,2357,3036,3463,3518,3382,2861,2510,2175,2167,2219,2480,2856,3542,3427,3452,3103,2582,2311,2404,2608,2481,3180,3621,3104,2708,2282,1811,1603,1366,1237,1086,956,842,701,687,641,544,498,424,394,372,325,286,263,235,228,204,174,161,161,112,114,115,106,64,77,69,70]
[47,64,52,70,71,90,110,108,130,151,178,207,225,236,319,353,408,441,518,620,700,814,1090,1320,1966,2931,3165,3098,3139,2432,2070,1987,1997,2154,2493,3087,3284,3283,3604,2494,2340,2279,2186,2128,2646,2942,3170,3338,2868,2555,2214,2214,2263,2316,2889,3321,3377,3234,2896,2526,2312,2267,2269,2449,2999,3692,3479,3343,3224,2712,2399,2342,2259,2427,2918,3459,4176,3420,3035,2569,2370,2331,2389,2479,3123,3659,3662,3514,3027,2669,2335,2463,2315,2480,2900,3595,3636,3570,3261,2635,2369,2244,2293,2489,2800,3771,3782,3618,3241,2594,2288,2182,2157,2975,3137,3496,3425,3014,2593,2034,1734,1530,1249,1104,1022,930,791,689,608,595,476,430,436,362,323,299,254,236,246,243,187,185,138,112,109,116,109,85,71,74]
[40,56,47,53,91,87,104,106,134,157,173,183,244,280,276,339,416,526,530,623,720,842,1068,1161,1653,2181,2547,2786,2719,2044,1940,1913,1844,1965,2105,2531,2712,2858,2848,2347,2177,2689,2071,2061,2273,2535,2814,3044,2789,2459,2244,2255,2111,2174,2428,2865,2985,3003,2740,2382,2344,2282,2250,2287,2562,3124,3177,3167,2994,2592,2440,2329,2206,2285,2634,3034,3194,3305,2852,3124,2437,2184,2214,2432,2680,3042,3235,3195,3000,2534,2301,2255,2222,2184,2521,2829,3279,3172,2906,2446,2333,2216,2185,2263,2539,3090,3279,3219,2870,2440,2250,2154,2059,2095,2309,2930,3469,2847,2316,1877,1749,1508,1361,1086,1042,910,810,698,651,582,494,434,406,377,341,316,280,243,212,219,186,169,143,148,135,112,119,77,70,69]
[44,52,58,52,73,86,116,153,122,167,169,184,234,246,299,357,407,459,556,582,760,887,986,1208,1327,1730,2121,2303,2115,1751,1763,1744,1636,1817,1984,2239,2407,2462,2300,2205,2047,2014,1897,1989,2511,2292,2395,2580,2386,2283,2173,2097,2087,2073,2204,2465,2466,2577,2436,2299,2296,2118,2089,2177,2267,2392,2640,2868,2466,2405,2282,2218,2077,2134,2316,2344,2641,2737,2464,2333,2281,2150,2502,2183,2387,2706,2803,2790,2475,2324,2318,2218,2151,2152,2278,2549,2791,2866,2505,2322,2258,2169,2125,2053,2304,2433,2687,2858,2471,2255,2219,2170,1920,1951,2061,2242,2448,2401,2144,2343,1727,1555,1388,1234,1077,964,828,773,669,592,553,481,435,401,365,306,272,244,229,193,177,185,157,131,132,103,95,99,81,79]
[50,49,63,61,86,81,94,121,147,151,210,208,233,264,321,377,414,502,591,670,779,884,1035,1169,1317,1436,1799,1962,1794,1701,1793,1787,1877,1841,1915,2049,2286,2233,2135,2083,2159,2091,2069,2000,2089,2194,2376,2924,2272,2198,2132,2178,2154,2142,2154,2349,2432,2389,2290,2252,2324,2226,2157,2097,2215,2442,2564,2526,2358,2342,2301,2196,2145,2215,2257,2434,2456,2452,2369,2285,2310,2147,2204,2230,2642,2451,2535,2510,2376,2403,2403,2135,2195,2170,2248,2371,2542,2471,2334,2211,2280,2200,2260,2215,2198,2365,2527,2453,2289,2255,2253,2133,1993,2003,2110,2247,2249,2149,1898,1874,1800,1559,1694,1221,1022,936,862,709,617,590,560,500,443,377,383,319,261,308,233,207,199,141,169,145,136,112,105,105,84,68]
[56,68,79,72,64,87,118,107,131,162,188,197,244,352,317,338,415,513,556,653,746,879,1123,1162,1271,1467,1774,1798,1628,1675,1841,1971,2007,1940,1999,2041,2214,2162,2184,2030,2214,2293,2153,2084,2133,2302,2290,2390,2338,2173,2313,2832,2230,2261,2126,2408,2452,2473,2265,2264,2336,2438,2239,2287,2182,2509,2618,2536,2405,2320,2406,2460,2408,2252,2383,2404,2570,2431,2322,2302,2429,2431,2381,2295,2261,2490,2488,2608,2837,2493,2466,2494,2366,2231,2364,2455,2622,2444,2314,2340,2441,2382,2314,2289,2307,2476,2554,2472,2299,2308,2293,2398,2262,2006,2076,2256,2260,2140,1914,1853,1811,1622,1401,1304,1176,1193,875,735,689,636,560,507,441,369,393,339,329,307,272,246,220,189,176,141,139,108,116,94,84,80]
[50,47,83,75,93,108,118,133,138,160,213,226,242,265,335,362,560,517,567,685,835,999,1140,1225,1366,1600,1859,1854,1685,1574,1853,2147,2061,1950,2021,2159,2428,2437,2176,2099,2215,2312,2354,2222,2174,2331,2544,2413,2298,2276,2281,2390,2487,2749,2213,2510,2663,2537,2290,2243,2273,2550,2432,2339,2360,2586,2691,2647,2336,2306,2344,2563,2389,2479,2412,2533,2669,2635,2409,2247,2444,2568,2538,2392,2442,2512,2809,2690,2373,2392,2389,3148,2538,2458,2426,2653,2577,2642,2481,2285,2554,2553,2497,2381,2427,2604,2585,2707,2421,2294,2442,2539,2309,2172,2169,2364,2354,2207,1928,1782,1806,1715,1532,1324,1236,1021,859,844,826,625,571,513,481,408,404,372,312,316,275,220,215,205,172,153,150,129,96,98,88,96]
[46,60,73,82,73,110,96,128,147,172,185,214,252,271,364,379,465,477,568,818,839,997,1222,1338,1536,1644,1852,1892,1881,1717,1850,2138,2120,2081,2214,2371,2456,2390,2180,2130,2211,2376,2368,2201,2341,2560,2688,2475,2392,2334,2257,2416,2365,2335,2414,2626,2719,3136,2360,2328,2431,2489,2441,2405,2498,2683,2818,2722,2498,2265,2496,2435,2392,2425,2481,2628,2878,2671,2361,2227,2383,2508,2475,2339,2497,2660,2823,2638,2602,2362,2508,2557,2581,2476,2915,2667,2725,2645,2366,2328,2386,2582,2436,2460,2546,2831,2765,2681,2332,2311,2335,2443,2373,2262,2247,2428,2451,2196,1991,1903,1838,1821,1534,1418,1271,1126,937,852,768,621,580,623,487,484,358,347,311,278,266,249,190,202,161,160,145,139,113,94,81,101]
[59,58,74,89,94,94,106,118,161,166,214,228,293,324,367,421,485,576,634,723,867,1075,1507,1472,1707,1977,2130,2043,1961,1789,1859,2122,2093,2121,2286,2666,2796,2644,2462,2363,2213,2223,2268,2223,2510,2891,3040,2806,2611,2405,2210,2293,2254,2352,2519,2892,3054,2921,2680,2345,2783,2375,2360,2396,2624,2771,2962,2745,2495,2321,2375,2435,2461,2535,2654,2982,3083,2805,2480,2392,2436,2494,2428,2501,2760,3014,3191,2872,2614,2514,2552,2516,2502,2443,2676,3071,3111,3427,2700,2430,2481,2560,2566,2470,2744,3157,3178,3000,2593,2358,2362,2351,2403,2299,2504,2734,2807,2364,2052,1815,1872,1691,1518,1291,1074,1051,836,841,690,656,587,537,469,414,437,338,309,249,253,216,213,194,160,159,149,117,118,106,98,76]
[60,56,81,76,109,126,141,136,146,172,218,241,306,304,342,421,491,496,653,743,874,1021,1212,1548,1930,3144,2652,2751,2444,2167,1997,2068,2225,2291,2854,3165,3060,2907,2694,2379,2378,2376,2355,2398,2803,3330,3184,2994,2806,2624,2482,2365,2466,2406,2900,3408,3613,3234,3176,2692,2444,2373,2490,3078,2920,3388,3297,3238,2885,2629,2574,2520,2577,2642,3081,3551,3552,3291,3001,2711,2549,2411,2603,2631,3021,3528,3447,3304,2833,2684,2510,2488,2520,2648,2947,3197,3337,3278,2758,2617,2991,2476,2619,2780,3035,3587,3283,3127,2829,2486,2370,2479,2375,2546,2870,3294,3044,2618,2320,2016,1860,1572,1637,1320,1214,1129,994,854,810,695,647,544,506,454,437,371,334,342,228,232,205,204,193,160,141,118,131,106,95,94]
[61,77,69,98,104,114,117,135,153,180,204,235,267,323,375,437,477,506,625,795,884,1029,1286,1555,2226,3161,3250,3355,3835,2388,2143,2134,2277,2630,3321,3805,3507,3477,3161,2717,2516,2420,2445,2760,3509,3957,3549,3355,3036,2654,2432,2477,2511,2842,3508,3939,3888,3591,3455,2813,2589,2549,2550,2593,3136,4350,3835,3473,3117,2832,2631,2572,2650,2848,3352,4013,4037,3883,3481,3101,2715,2630,2593,2833,3522,4231,3971,3939,3454,2934,2754,2623,2728,2891,3416,3863,3865,3689,3227,2879,2736,2615,2630,3598,3733,4060,3863,3416,3082,2719,2481,2471,2487,2973,3764,3908,3483,3040,2460,2084,1879,1684,1512,1340,1172,1044,978,918,844,659,689,566,532,461,406,386,327,294,282,248,256,207,162,169,132,137,102,92,102,89]
[78,74,100,97,105,119,140,143,188,192,221,256,289,339,376,472,498,587,687,804,864,1022,1235,1471,2231,3047,3319,3316,3191,2537,2185,2686,2295,2422,3037,3605,3601,3678,3370,2832,2522,2611,2521,2624,3302,3763,3959,3854,3332,2749,2556,2617,2643,2612,3302,3759,4000,3740,3526,3003,2588,2459,2560,2500,3153,3573,3723,3555,3190,3344,2609,2706,2620,2882,3609,4023,4005,3986,3353,2821,2650,2679,2622,2895,3488,4065,4131,3779,3230,2903,2613,2696,2654,2831,3357,3862,3861,3683,3321,2866,2660,2615,2614,2861,3506,4192,4656,3470,3207,2751,2505,2449,2638,2894,3588,3984,3765,3302,2633,2226,1923,1701,1551,1345,1255,1090,1010,947,825,695,624,568,535,489,429,375,339,296,276,250,225,214,173,215,142,116,115,118,93,93]
[70,68,85,98,99,104,133,154,191,198,235,263,285,355,347,463,480,587,676,762,897,1007,1158,1509,1878,2515,2901,3000,2713,2226,2169,2068,2001,2142,3114,2926,3338,3482,3021,2636,2441,2326,2320,2410,2968,3277,3438,3401,3126,2637,2478,2394,2396,2417,2650,2994,3233,3244,3178,2768,2503,2319,2465,2512,2683,3002,3121,3165,2984,2625,2545,3007,2452,2535,3027,3445,3456,3457,3127,2840,2551,2467,2510,2570,2944,3487,3571,3497,3021,2805,2504,2534,2483,2653,3174,3415,3553,3257,3049,2748,2566,2475,2556,2744,3238,3535,3577,3388,3048,3137,2387,2437,2383,2474,3195,3509,3340,3034,2545,2104,1972,1686,1558,1357,1302,1107,992,928,814,772,619,648,520,447,471,389,343,346,270,272,217,247,199,171,158,142,152,104,108,88]
[58,69,76,80,90,112,125,191,185,202,215,270,286,364,418,463,467,587,671,759,924,1044,1167,1157,1455,1749,2277,2265,2197,1886,1861,1937,2018,1992,2044,2495,2779,2843,2792,2298,2450,2246,2224,2250,2410,3247,2810,2955,2674,2458,2323,2246,2304,2328,2582,2798,2863,2953,2744,2600,2366,2389,2391,2388,2581,2790,2836,2989,2753,2605,2470,2455,2385,2487,2650,2839,2938,3001,2775,2542,2420,2471,2823,2444,2590,2811,2899,2954,2740,2516,2648,2460,2490,2447,2562,2789,2929,2933,2779,2612,2560,2408,2319,2473,2469,2739,2939,2854,2672,2442,2320,2207,2157,2299,2369,2791,2729,2617,2172,2452,1832,1704,1556,1375,1201,1121,946,907,806,700,678,566,530,492,492,435,370,319,290,293,261,233,181,171,182,145,128,104,90,80]
[58,62,82,97,119,131,125,162,181,222,272,239,312,338,365,429,536,588,670,840,969,1065,1154,1249,1454,1609,1931,1995,1919,1889,1902,1953,2042,1981,2151,2197,2329,2462,2370,2293,2274,2316,2280,2279,2259,2420,2638,2623,2886,2353,2454,2348,2264,2408,2470,2454,2697,2556,2530,2359,2352,2406,2402,2400,2428,2603,2678,2619,2573,2558,2576,2469,2432,2480,2612,2602,2634,2728,2446,2469,2540,2492,2457,2388,2571,3285,2699,2698,2573,2536,2504,2460,2472,2506,2573,2601,2778,2679,2632,2570,2573,2422,2403,2434,2408,2658,2724,2647,2549,2477,2478,2377,2332,2158,2254,2416,2410,2362,2144,1942,2027,1756,1890,1403,1233,1129,985,920,795,726,620,595,499,459,467,398,359,312,304,275,231,252,183,161,149,131,135,96,118,83]
[68,73,108,81,80,123,111,156,179,190,212,265,284,364,371,479,479,590,639,831,913,1069,1258,1287,1391,1710,1957,1996,1832,1843,1992,2183,2178,2100,2142,2272,2456,2356,2275,2171,2346,2438,2352,2157,2424,2383,2520,2649,2516,2425,2409,2919,2403,2369,2493,2573,2621,2627,2421,2434,2554,2515,2360,2362,2492,2573,2703,2636,2514,2517,2661,2586,2654,2427,2471,2663,2674,2716,2581,2468,2539,2565,2557,2475,2474,2636,2743,2698,3096,2538,2547,2543,2480,2368,2516,2665,2683,2716,2548,2464,2626,2676,2463,2462,2509,2642,2628,2663,2545,2480,2581,2654,2520,2288,2213,2391,2449,2354,2130,1929,1947,1873,1588,1465,1305,1371,957,872,831,687,617,604,555,441,471,420,374,373,302,276,229,245,191,184,141,138,148,112,117,88]
[73,81,69,87,123,120,149,146,185,236,213,233,263,350,395,463,638,618,669,778,936,1106,1248,1285,1422,1692,1961,2057,1808,1847,1914,2214,2273,2216,2063,2225,2649,2438,2233,2236,2405,2465,2535,2392,2352,2532,2779,2551,2671,2234,2450,2540,2532,2801,2574,2678,2697,2749,2632,2473,2595,2849,2514,2546,2538,2664,2789,2570,2526,2571,2714,2759,2758,2455,2528,2756,2826,2785,2549,2396,2721,2830,2571,2649,2449,2831,2869,2793,2625,2473,2627,3332,2597,2552,2595,2846,2919,2813,2530,2556,2686,2966,2612,2506,2613,2829,2902,2728,2552,2553,2647,2620,2443,2345,2335,2536,2572,2315,2112,2030,1959,1763,1600,1461,1269,1178,1079,938,999,691,630,581,556,497,511,446,379,348,319,293,245,245,193,194,156,161,130,110,108,86]
[62,103,75,111,128,117,141,174,171,219,235,259,322,312,419,465,514,610,771,883,1111,1163,1323,1406,1679,1828,2094,2046,1868,1809,1950,2160,2261,2167,2314,2563,2637,2432,2332,2249,2393,2580,2527,2356,2617,2586,2809,2687,2466,2390,2443,2562,2465,2572,2735,3099,3256,2747,2706,2453,2631,2616,2607,2766,2703,2812,3005,2695,2619,2514,2647,2703,2578,2619,2714,2885,2874,2797,2535,2641,2496,2626,2671,2688,2770,2868,2976,2820,2543,2541,2777,2579,2590,3085,2730,2935,2831,2754,2580,2558,2651,2756,2639,2663,2781,2940,2992,2714,2604,2484,2568,2653,2513,2466,2538,2740,2728,2396,2176,2051,2040,1903,1760,1440,1324,1252,917,981,821,780,775,621,570,450,442,408,365,338,320,273,252,235,199,183,174,173,127,118,102,102]
[72,94,100,93,116,136,131,170,187,230,241,304,312,387,383,477,522,616,742,841,953,1451,1323,1577,1879,2180,2301,2239,2052,1997,2002,2093,2279,2298,2592,2794,2917,2624,2435,2429,2369,2447,2473,2475,2728,3072,3049,2870,2725,2597,2484,2473,2459,2677,2825,3258,3282,3104,3432,2644,2582,2663,2592,2682,2898,3292,3082,2930,2737,2726,2639,2612,2691,2774,2942,3125,3034,2906,2715,2568,2655,2635,2677,2762,2910,3248,3235,3001,2908,2703,2625,2553,2709,2551,2848,3061,3890,2944,2730,2683,2576,2666,2620,2778,2995,3297,3162,2931,2791,2638,2575,2571,2563,2421,2707,2895,2834,2625,2196,2101,2072,1812,1630,1473,1283,1254,1009,987,810,731,658,621,551,528,470,419,341,324,281,269,230,201,217,185,166,142,146,126,93,101]
[81,79,85,105,126,124,158,175,199,204,235,304,354,377,436,483,569,653,698,820,1024,1209,1436,1702,2812,2856,2865,2812,2418,2065,2133,2114,2310,2503,3101,3242,3041,3115,2727,2562,2506,2515,2471,2656,3094,3460,3428,3189,3190,2671,2538,2540,2678,2838,3164,3672,3650,3393,3170,2792,2589,2605,3300,2797,3241,3728,3588,3391,3228,2937,2670,2732,2715,2913,3345,3863,3570,3370,2934,2725,2588,2610,2711,2958,3461,3697,3461,3242,3049,2774,2582,2743,2750,2920,3239,3528,3322,3293,2996,3258,2527,2670,2903,2960,3459,3834,3511,3315,3009,2770,2425,2561,2599,2714,3316,3632,3360,3146,2660,2289,2076,1890,1757,1437,1222,1200,1079,892,842,694,703,584,517,486,446,418,404,312,298,253,239,214,186,161,152,132,138,131,101,95]
[75,78,98,129,129,151,147,185,191,222,230,296,316,391,458,503,533,699,739,834,993,1155,1423,1848,2741,3462,3554,4256,3128,2507,2276,2312,2374,2815,3564,3697,3500,3333,2970,2722,2524,2590,2606,2808,3385,3818,3817,3660,3133,2730,2654,2645,2716,2935,3584,4150,4088,4323,3394,3014,2729,2743,2849,2997,3767,4270,4107,3692,3329,2920,2735,2737,2784,3116,3981,4463,3882,3841,3531,2839,2602,3323,2939,3279,3973,4227,4124,3840,3430,2913,2748,2789,2849,3243,4033,4303,3937,3744,3241,2919,2706,2774,2979,3264,4123,4284,4073,3594,3175,2861,2624,2652,2849,3087,3796,4103,3716,3376,3571,2464,2069,1907,1731,1380,1348,1196,1050,973,836,770,671,618,569,445,467,427,375,298,278,295,233,199,198,178,140,126,140,139,91,92]
[94,100,96,109,109,136,173,169,209,255,268,269,322,371,484,472,539,686,810,898,968,1136,1400,1767,2505,3236,3494,3573,3402,2535,2275,2304,2404,2562,3344,3525,3578,3535,3168,2814,2706,2623,2642,2737,3319,3778,3785,4462,3166,2850,2541,2702,2800,2901,3515,4146,4148,3899,3362,2899,2772,2878,2734,2970,3588,4161,3965,3890,3557,3007,2794,2685,2802,3020,3748,4267,4121,3874,3445,2975,2685,2756,2689,2999,4531,4203,4011,3865,3568,3107,2848,2848,2778,3058,3922,4076,3921,3885,3441,2980,2821,2870,2792,3264,4162,4598,4325,3866,3434,2962,2761,2720,2713,2901,3668,4052,3881,3656,3096,2443,2255,1953,2144,1547,1391,1192,1060,997,908,757,685,659,536,498,440,423,356,386,309,288,244,218,207,180,156,140,120,111,93,97]
[89,78,101,112,135,114,147,176,208,225,257,279,299,491,433,503,615,655,793,897,974,1073,1283,1499,2029,2582,2877,3084,2759,2286,2063,2107,2158,2315,2690,2810,3060,3305,2943,2625,2431,2350,2405,2386,2754,3175,3307,3404,3055,2587,3019,2498,2540,2575,2983,3437,3475,3364,3012,2666,2498,2446,2514,2661,3155,3402,3534,3372,3175,2808,2782,2575,2649,2839,3284,3528,3427,3473,3119,2731,2623,2454,2616,2829,3224,3434,3538,4079,3113,2864,2762,2617,2567,2822,3128,3405,3420,3410,3180,2714,2607,2542,2606,2776,3312,3653,3624,3672,3086,2720,2569,2581,2437,2564,2867,3297,3381,3265,2800,2275,2097,1944,1690,1468,1541,1184,984,975,844,749,685,579,513,514,417,396,344,309,287,287,235,181,217,203,170,142,111,110,121,95]
[90,95,90,98,102,134,137,191,201,226,220,299,323,357,440,619,594,654,740,860,1009,1143,1223,1358,1731,2025,2456,2525,2195,1959,2091,2020,2040,2110,2326,2614,2754,2705,2497,2385,2420,2241,2375,2320,2441,2599,2742,2769,2574,2540,2563,2351,2400,2949,2541,2882,2886,3014,2857,2614,2554,2511,2452,2520,2618,2893,2980,2994,2743,2732,2664,2625,2504,2622,2847,3037,3099,2970,2748,2718,2556,2479,2573,2612,2855,3141,3081,3032,3002,2804,3150,2535,2472,2651,2688,3102,3176,3086,2850,2718,2550,2535,2532,2554,2708,3082,3245,3144,2851,2759,2526,2401,2405,2331,2515,2658,2846,2716,2474,2188,2127,1926,1760,1591,1414,1160,1138,1133,893,793,687,625,567,527,460,378,355,309,274,278,240,241,204,209,169,137,116,107,111,80]
[64,84,98,115,107,131,141,155,190,232,271,250,351,380,375,506,571,591,842,812,984,1146,1257,1337,1509,1711,2001,1985,1961,1932,2011,2195,2136,2210,2268,2347,2461,2432,2376,2444,2424,2426,2275,2432,2488,2542,2612,2670,2599,2492,2544,2518,2551,2433,2523,2667,3363,2694,2679,2524,2617,2535,2579,2654,2712,2827,2980,2821,2659,2695,2589,2511,2580,2538,2768,2852,2920,2802,2586,2601,2467,2472,2610,2644,2699,2959,2827,2838,2744,2634,2633,2640,2618,2523,3358,2704,2821,2825,2726,2717,2618,2496,2519,2576,2714,2804,2896,2733,2704,2600,2587,2440,2387,2437,2441,2608,2646,2427,2224,2194,2143,1900,1696,1567,1338,1165,1105,990,829,770,659,805,543,533,488,433,379,386,306,282,269,235,206,181,165,139,131,126,93,98]
[81,90,87,116,129,134,160,166,200,237,235,313,334,422,451,513,549,652,702,832,972,1183,1518,1352,1491,1823,1994,2008,1892,1883,2252,2230,2072,2181,2268,2415,2514,2416,2340,2374,2428,2419,2443,2386,2470,2554,2722,2642,2616,2425,2481,2572,2507,2497,2621,2708,2805,2701,2732,2516,3100,2700,2592,2482,2579,2761,2972,2779,2603,2662,2707,2753,2639,2587,2644,2822,2946,2741,2616,2585,2744,2634,2649,2594,2610,2858,2925,2841,2645,2635,2696,2845,2592,2629,2658,2795,2874,3300,2674,2676,2733,2707,2532,2562,2712,2816,2860,2729,2612,2584,2702,2642,2438,2330,2474,2582,2532,2415,2125,2170,1954,1820,1629,1495,1359,1156,1038,962,794,762,640,625,537,476,563,426,408,296,322,251,256,228,209,192,148,144,130,125,87,86]
[78,81,124,111,125,122,158,194,201,251,279,294,321,405,410,480,494,658,693,831,958,1199,1332,1379,1547,1823,2559,2113,1903,1908,2169,2395,2317,2161,2359,2490,2675,2467,2387,2363,2510,2735,2426,2466,2460,2660,2898,2788,2524,2527,2437,2648,2558,2449,2634,2847,2870,2828,2512,2589,2600,2801,2681,3241,2665,2902,2891,2879,2659,2678,2836,2854,2686,2640,2654,2942,2897,2886,2659,2588,2726,2901,2747,2647,2713,2898,3011,2825,2645,2646,2712,2878,2708,2651,2678,2843,2948,2810,2627,2586,3268,2752,2610,2558,2689,2784,3003,2822,2676,2615,2723,2566,2499,2447,2453,2667,2532,2346,2134,2027,2143,1857,1596,1495,1298,1095,1042,939,887,794,654,606,564,501,478,445,363,453,303,274,267,234,211,179,173,149,117,96,94,103]
[80,102,117,106,147,146,162,191,215,241,268,312,291,373,424,511,575,656,699,867,988,1176,1354,1511,1724,1854,2120,2089,1862,2385,2096,2339,2297,2303,2502,2647,2614,2464,2480,2315,2399,2591,2485,2483,2606,2825,2857,2686,2544,2367,2562,2628,2517,2659,2622,2916,2935,2764,2629,2540,2578,2719,2639,2662,2753,2812,3514,2806,2929,2376,2803,2793,2766,2718,2819,3026,3043,2802,2776,2585,2765,2717,2580,2739,2869,3115,2984,2904,2778,2665,2773,2818,2790,2795,2877,3046,3104,2907,2601,2716,2680,2808,2635,3279,2964,3009,3091,2790,2834,2621,2634,2716,2549,2433,2691,2752,2673,2429,2196,2122,2244,1931,1693,1456,1338,1195,1066,958,891,767,699,616,587,544,440,444,403,340,316,279,253,283,186,201,171,154,138,118,96,107]
[74,98,120,131,125,144,168,199,233,209,252,318,361,379,466,486,546,676,737,888,1012,1245,1465,1696,1816,2252,2485,2278,2143,2002,2042,2583,2354,2440,2750,2896,2909,2693,2622,2393,2394,2422,2445,2607,2848,2946,3050,2781,2669,2431,2446,2464,2494,2678,2860,3126,3191,2969,2704,2545,2903,2594,2790,2870,2920,3303,3249,3023,2746,3198,2706,2725,2803,2785,3229,3415,3446,3029,2824,2748,2625,2724,2742,2983,3373,3349,3313,3079,2881,2810,2777,2793,2728,2920,3108,3420,3332,2980,2730,2630,2723,2693,2698,2868,3052,3313,3787,2953,2843,2674,2650,2726,2580,2625,2909,3031,2838,2548,2234,2251,2104,1865,1786,1459,1301,1122,1089,926,834,744,698,640,569,502,453,397,387,367,299,277,266,195,215,221,153,147,146,118,119,107]
[87,94,106,135,149,156,165,193,221,238,277,309,387,421,449,523,571,663,755,945,1055,1270,1479,1836,2483,2892,2931,2870,2724,2211,2232,2299,2321,2601,3864,3377,3411,3179,2831,2692,2658,2594,2601,2878,3302,3551,3680,3345,3075,2802,2509,2743,2722,2851,3319,3702,3558,3364,3046,2868,2674,2655,2794,2839,3411,3683,3585,3294,3127,2801,2753,2742,3387,3051,3619,3929,3714,3526,3112,2877,2883,2847,2975,3154,3792,4051,3771,3647,3382,3014,2765,2769,2963,3151,3632,3946,3617,3563,3072,2923,2762,2690,2953,2976,3567,3821,3604,3395,3134,3416,2754,2746,2757,2887,3456,3684,3261,2792,2513,2266,2121,1933,1764,1505,1380,1235,1092,999,859,810,733,691,547,510,464,424,361,330,292,248,253,221,181,181,179,165,176,119,114,96]
[112,114,106,113,145,163,185,203,212,240,265,333,349,411,420,516,555,670,776,914,1053,1219,1490,2061,2925,3706,3395,3640,3077,2478,2314,2388,2520,2750,3505,4225,4246,4626,3112,2781,2604,2662,2610,2823,3545,4025,4093,3892,3314,2929,2570,2613,2793,2875,3686,4271,4092,3793,3428,2931,2759,2716,2786,3077,3712,4179,4043,3681,3444,2912,2772,2693,2858,3261,3878,5305,4290,3864,3544,3002,2852,2889,3018,3498,4303,4752,4198,4163,3692,3220,2936,2918,3113,3314,4117,4427,4180,3937,3454,3151,2844,2856,3010,3177,3843,4168,4151,3803,3322,3000,2826,2745,3378,3280,4142,4178,3904,3321,2782,2293,2263,1893,1832,1517,1464,1229,1108,964,902,795,741,605,600,504,465,412,383,340,296,295,245,205,211,182,168,144,146,122,103,138]
[78,99,102,154,121,132,182,208,232,222,269,358,366,428,455,517,583,679,819,894,1024,1180,1469,1915,2959,3530,3474,3695,3346,2602,2551,2440,2507,2712,3535,4016,3980,3905,3400,2798,3294,2779,2657,2918,3587,3913,3734,3819,3470,2947,2733,2717,2735,3174,3754,4073,3956,3794,3338,2974,2735,2797,2822,3029,3708,4210,3949,3790,3496,3031,2878,2728,2959,3194,4021,4414,4176,4778,3547,3187,2957,2846,3095,3507,4401,4645,4437,4211,3773,3203,2969,2992,2982,3374,4087,4414,4199,4086,3673,2963,2956,2967,2949,3282,4031,4274,4214,3820,3450,3023,2885,2807,2807,3232,3955,5186,3952,3350,2784,2467,2097,1951,1665,1556,1372,1112,1149,1041,958,840,750,636,600,521,489,433,390,380,332,291,221,224,208,184,182,142,132,119,114,89]
[99,79,116,117,132,161,215,197,236,231,274,340,365,421,457,506,558,689,833,873,1004,1188,1319,1705,2279,2786,3037,3186,2832,2247,2235,2268,2359,2437,2922,3260,3340,3415,3054,2757,2581,2428,2577,3214,3014,3183,3324,3426,2994,2806,2608,2537,2546,2858,3185,3531,3500,3350,3103,2780,2634,2697,2671,2788,3273,3391,3449,3383,3160,2788,2764,2685,2681,2915,3411,3786,3712,3819,3365,2953,3095,2774,2724,3024,3578,3884,3998,3727,3483,3040,2887,2744,2805,2993,3280,3740,3704,3860,3337,2938,2816,2803,2702,2923,3307,3650,3642,3512,3376,2860,2634,2673,2565,2630,3147,3642,3701,3184,3340,2420,2064,1960,1724,1539,1443,1179,1092,1086,918,865,649,687,603,548,474,415,364,357,306,265,282,232,212,189,167,155,157,132,122,108]
[102,105,135,124,152,160,222,228,270,296,314,372,397,491,494,566,713,926,905,1061,1153,1274,1462,1675,2260,2463,2616,2291,2064,2077,2269,1972,2239,2525,2663,2770,2797,2618,2563,2406,2348,2532,2389,2660,3426,2868,2947,2588,2561,2467,2355,2525,2571,2763,2926,3103,2933,2862,2688,2471,2639,2672,2660,2899,2943,3025,3026,2866,2794,2684,2574,2654,2730,2955,3135,3147,3214,2825,2850,2686,2655,3230,2813,3151,3401,3416,3307,3096,2861,2719,2639,2579,2686,2956,3229,3278,3078,2990,2701,2743,2531,2613,2723,2909,3158,3259,3115,2810,2678,2562,2501,2380,2534,2747,2805,2860,2628,2294,2638,1941,1864,1729,1485,1319,1148,1037,899,869,826,697,627,563,504,475,433,392,311,297,266,247,244,191,198,189,134,135,133,131,106,85]
[85,111,119,134,131,140,164,200,204,304,314,303,361,382,449,468,623,673,782,849,988,1143,1302,1365,1530,1786,2050,2277,2008,1988,2086,2212,2143,2270,2391,2579,2503,2623,2418,2413,2494,2365,2420,2448,2593,2624,3234,2601,2618,2537,2537,2504,2521,2522,2607,2789,2917,2824,2765,2612,2679,2628,2573,2611,2812,2777,2922,2893,2732,2716,2749,2738,2730,2684,2897,2920,3090,2971,2775,2815,2758,2773,2737,2715,3395,3089,3221,2958,2850,2855,2751,2717,2749,2686,2851,3093,3038,2829,2815,2861,2813,2697,2721,2621,2859,2957,3031,2829,2800,2779,2652,2722,2509,2560,2441,2753,2760,2632,2261,2208,2230,2297,1726,1582,1422,1190,1042,1008,892,780,718,657,594,527,468,476,419,362,292,312,277,233,227,187,169,170,129,135,96,88]
[88,83,104,117,130,144,167,204,218,242,254,328,431,370,445,519,548,657,781,845,1009,1214,1375,1326,1497,1760,1950,2039,1838,1864,2095,2243,2286,2282,2325,2476,2614,2551,2512,2260,2419,2530,2482,2514,2488,2683,2817,2812,2519,3007,2556,2758,2606,2620,2618,2838,2890,2817,2684,2484,2681,2787,2742,2651,2700,2909,2912,2941,2746,2756,2807,2841,2700,2640,2787,2808,3043,2980,2821,2729,2853,2906,2715,2654,2799,2863,3055,3503,2912,2761,2942,2939,2685,2747,2946,2970,3055,2977,2787,2751,2942,2799,2786,2786,2841,2965,3073,2967,2781,2669,2786,2786,2621,2499,2524,2681,2802,2462,2307,2197,2225,1966,1733,1524,1702,1235,1134,962,874,786,715,631,568,512,498,472,381,377,325,308,252,263,220,218,179,191,134,120,115,107]
[78,106,123,114,136,151,173,204,220,256,288,300,320,392,440,596,562,673,786,905,983,1185,1316,1341,1490,1687,2098,2130,1867,1730,2001,2311,2368,2210,2319,2501,2585,2540,2327,2280,2476,2550,2491,2427,2485,2702,2955,2836,2622,2546,2603,2808,3174,2629,2640,2739,2952,2875,2616,2571,2687,2779,2656,2623,2675,2854,2916,2910,2733,2636,2709,2764,2744,2563,2709,2812,3052,2915,2758,2582,2844,2953,2803,2711,2741,2927,3210,3040,2804,3292,2971,2964,2969,2695,2698,3027,3044,2900,2790,2681,2765,2920,2770,2715,2728,2995,3135,3151,2727,2684,2894,2803,2728,2435,2530,2738,2734,2600,2271,2208,2187,2016,1734,1505,1410,1207,1051,1115,918,757,724,595,565,550,485,444,412,404,306,273,238,228,226,181,165,137,146,133,119,102]
[87,94,110,109,143,153,148,184,205,211,248,280,331,394,456,502,571,608,886,856,996,1230,1379,1412,1656,1770,2026,1982,1880,1897,1950,2210,2208,2154,2399,2540,2689,2491,2241,2316,2396,2505,2619,2403,2652,2793,3028,2719,2587,2485,2647,2536,2624,2633,2811,3555,3061,2854,2632,2638,2633,2699,2656,2752,2874,3013,3087,2940,2718,2585,2660,2729,2820,2683,2823,3017,3055,2875,2671,2672,2764,2752,2722,2640,2903,3109,3186,2920,2815,2743,2797,2865,3373,2861,2948,3208,3162,2946,2767,2688,2825,2824,2729,2902,2834,3091,3301,2981,2832,2685,2731,2844,2724,2542,2843,2975,2989,2690,2301,2259,2282,2141,1808,1607,1431,1232,1118,1016,839,774,866,641,547,546,485,422,405,340,302,297,286,223,211,183,163,143,145,126,117,98]
[111,94,114,122,131,175,176,192,229,242,303,323,365,401,467,522,632,692,783,940,1079,1584,1470,1665,1965,2276,2283,2290,2032,1972,2087,2126,2275,2344,2658,2974,2810,2731,2537,2417,2454,2534,2559,2710,2888,3131,3127,2941,2786,2558,2605,2723,2634,2845,3030,3359,3216,3176,3358,2682,2670,2661,2795,2817,3104,3480,3187,3077,2837,2688,2740,2709,2836,2948,3188,3426,3331,3115,2927,2833,2807,2778,2797,2928,3192,3406,3458,3256,2951,2814,2834,2847,2945,3009,3213,4183,3360,3131,3015,2762,2866,2872,2868,3034,3132,3413,3367,3094,3028,2749,2714,2712,2777,2807,3088,3301,3114,2675,2426,2369,2257,1919,1806,1545,1355,1202,1178,986,860,788,734,640,605,636,470,397,442,361,343,263,268,246,201,163,164,154,121,130,98,100]
[88,94,117,137,147,201,181,208,215,266,295,310,352,443,448,563,595,734,839,894,1240,1267,1511,1818,2215,2734,2753,2555,2297,2154,2034,2285,2319,2540,2995,3403,3221,3166,2778,2698,2467,2603,2708,3392,3350,3539,3409,3217,3106,2816,2732,2718,2776,2933,3384,3614,3505,3360,3207,2854,2765,2733,2852,3015,3347,3860,3640,3411,3210,2895,2835,2832,2964,3064,3640,3899,3621,3388,3252,2928,3289,3005,2990,3015,3511,3797,3771,3690,3423,3007,2874,2909,2921,3136,3627,3868,3612,3434,3349,2981,2883,2970,2955,3162,3493,3743,3787,3449,3100,2930,2859,2727,2944,3062,3647,3850,3549,3766,2804,2510,2178,2045,1846,1439,1335,1257,1144,965,960,811,719,689,582,539,506,447,361,371,328,321,251,223,201,177,191,158,126,121,111,99]
[96,101,104,141,132,183,189,181,286,253,313,361,395,415,494,542,625,681,868,935,1119,1261,1482,2147,3039,3494,3332,3317,3036,2520,2337,2426,2397,2916,3662,4132,3851,3576,3257,2858,2662,2607,2781,3110,3841,5069,3880,3537,3382,2892,2816,2893,2845,3380,4096,4339,4020,3775,3357,3076,2845,2859,2933,3119,3806,4287,4011,3632,3500,3020,2846,2825,2949,3528,4041,4500,4197,3966,3665,3224,2954,2906,3057,4036,4138,4399,4163,3953,3695,3143,3022,3030,3119,3493,4228,4437,4300,3788,3536,3148,3120,3000,3170,3417,4019,4422,4323,3761,3534,3092,2956,2896,3119,3324,4290,4608,3918,3450,3072,2692,2769,2085,1761,1706,1475,1248,1117,981,893,841,719,619,616,506,462,408,397,343,332,283,246,219,195,170,156,165,130,128,121,101]
[75,103,117,113,140,177,179,201,224,244,296,409,398,423,525,547,625,706,852,883,994,1239,1567,1852,3049,3301,3550,3480,3214,2614,2501,2406,2446,2905,3614,3918,3786,3670,3347,2808,2766,2679,2672,3049,3834,4224,3878,3657,3990,2915,2823,2836,2959,3106,3957,4290,4171,3751,3466,3029,3017,2946,2903,3139,3720,4012,4015,3700,3324,3266,2945,2924,2987,3226,3955,4415,4170,4018,3607,3238,2938,2976,2934,3115,3960,4350,5113,3973,3737,3142,3015,3070,2994,3468,4352,4686,4274,3980,3462,3131,3088,2967,3075,3428,4124,4414,4242,3920,3531,3165,2978,2903,2953,3597,4404,4609,3809,3542,3144,2586,2258,2111,1755,1899,1416,1219,1126,1016,967,850,707,643,579,528,495,465,434,342,328,296,272,231,227,172,177,161,117,141,110,89]
[121,101,125,129,154,150,188,198,237,252,288,322,398,432,593,576,675,750,881,898,1057,1203,1342,1649,2183,2533,2764,3001,2753,2379,2127,2252,2283,2508,2942,3197,3271,3178,3024,2691,2560,2576,2588,2764,3248,3566,3414,3263,3054,2892,2790,3273,2889,2928,3425,3675,3658,3529,3179,2851,2827,2711,2810,2887,3465,3621,3415,3404,3254,3072,2933,2765,2842,3140,3415,3656,3778,3572,3362,3022,2761,2811,2894,2965,3315,3732,3655,3610,3979,3052,2956,2786,2836,3196,3471,3976,3815,3619,3383,3025,2781,2898,2813,3153,3477,3833,3825,3439,3187,3039,2727,2769,2790,3001,3625,3828,3585,3312,2877,2405,2211,2022,1826,1596,1437,1312,1350,1066,838,816,729,659,606,542,500,435,413,394,329,287,321,261,224,189,177,168,146,144,128,104]
[86,83,122,143,133,143,172,235,221,241,281,319,384,445,472,591,601,883,839,975,1105,1218,1319,1456,1662,2039,2290,2425,2214,2042,2048,2054,2151,2275,2475,2556,2578,2678,2637,2506,2530,2419,2410,2537,2691,2853,2850,2945,2775,2713,2682,2608,2589,2600,3390,3047,3197,3143,2955,2758,2835,2674,2729,2811,2901,3195,3080,3233,2923,2808,2849,2546,2689,2862,2997,3306,3367,3145,2947,2807,2713,2673,2753,2797,2924,3199,3289,3096,2948,2835,2709,3290,2799,2828,3032,3240,3156,3084,3024,2905,2775,2792,2649,2849,2840,3062,3161,3123,2904,2734,2669,2606,2545,2493,2634,2870,2957,2730,2419,2275,2094,2027,1795,1583,1357,1317,1206,964,884,1000,720,656,603,558,498,433,407,384,292,289,286,257,202,197,172,171,129,136,124,93]
[93,111,118,115,135,151,188,211,215,248,291,321,354,410,470,537,621,740,810,945,1266,1188,1361,1395,1639,1802,2107,1989,1949,1964,2050,2213,2085,2182,2337,2447,2451,2440,2448,2368,2415,2407,2516,2628,2620,2782,2782,2736,2715,2710,2610,2563,2661,2683,2861,2898,3052,3575,2717,2744,2854,2864,2708,3064,2837,2938,3001,2941,2743,2976,2874,2751,2747,2872,2933,3047,3034,2880,2841,2867,2890,2764,2781,2748,2922,3097,3083,3023,2958,2921,2836,2673,2870,2823,3597,3093,3167,2987,2863,2871,2869,2788,2660,2806,2929,3019,3041,2948,2733,2805,2732,2710,2650,2596,2647,2728,2781,2480,2371,2315,2095,1884,1730,1536,1415,1265,1159,1059,898,809,710,601,710,526,501,462,389,361,336,340,269,278,241,215,161,126,142,113,119,113]
[103,92,128,122,144,166,162,190,234,260,269,331,357,406,494,550,585,648,802,936,1006,1194,1269,1628,1552,1792,2032,2086,1895,1992,2251,2351,2305,2279,2392,2428,2561,2469,2296,2427,2514,2504,2539,2507,2572,2803,2819,2680,2566,2605,2650,2805,2708,2693,2701,2929,2941,2939,2892,2639,3409,2875,2763,2684,2910,3004,3165,2842,2816,2837,2878,2910,2821,2801,2862,2992,3032,2844,2813,2790,2962,2898,2757,2779,2929,3049,3110,2932,2801,2799,2900,2940,2853,2714,2798,3043,3018,3414,2880,2802,2897,2977,2690,2731,2979,3120,2976,2975,2697,2730,2888,2788,2595,2582,2610,2779,2798,2506,2216,2162,2158,1889,1780,1549,1359,1291,1128,997,898,848,698,686,616,539,483,544,440,358,345,287,283,230,220,190,189,163,118,109,104,118]
[98,108,139,128,155,172,203,192,235,242,306,309,360,473,543,541,562,663,832,980,1183,1305,1298,1417,1646,1965,2547,1929,1729,1985,2257,2397,2316,2325,2405,2552,2640,2493,2256,2290,2638,2669,2474,2438,2602,2890,2981,2743,2465,2598,2668,2777,2696,2622,2880,3001,3115,2842,2714,2710,2799,2976,2852,3351,2951,3221,3095,2875,2745,2773,3033,2993,2952,2751,2876,3112,3171,2928,2776,2783,3003,2954,2951,2816,3026,3056,3224,2968,2771,2927,3006,2970,2919,2764,2919,3072,3132,2831,2718,2774,3653,2945,2798,2788,2943,3128,2945,2832,2716,2786,3028,2700,2567,2577,2747,2895,2661,2397,2209,2229,2042,1792,1658,1413,1365,1163,1043,948,886,780,680,659,577,544,447,445,426,405,381,301,259,242,216,191,187,144,131,134,99,109]
[101,98,123,120,151,167,167,201,221,242,320,348,368,443,511,605,635,668,817,895,1130,1338,1473,1597,1700,1990,2010,2018,1843,2295,2095,2347,2235,2304,2474,2775,2658,2399,2370,2356,2491,2624,2634,2603,2768,2910,2991,2715,2733,2535,2668,2849,2691,2742,2966,3179,3189,2995,2827,2709,2870,2951,2780,3016,3135,3250,3861,3092,2896,2833,2841,2930,2798,2953,3110,3252,3161,2948,2831,2738,2860,3025,2884,2989,3105,3260,3218,3104,2907,2872,2879,2932,2831,2761,2980,3215,3141,2949,2781,2798,2930,2889,2824,3398,3027,3331,3060,2829,2780,2636,2867,2727,2682,2650,2853,2883,2614,2385,2244,2232,2121,1913,1670,1593,1343,1154,1089,978,921,789,694,706,613,536,444,490,406,368,328,293,286,285,239,199,166,153,144,138,112,105]
[98,107,129,135,142,189,224,211,244,278,318,337,400,521,547,575,620,776,853,967,1164,1352,1566,1757,1963,2261,2281,2193,2060,2027,2103,2147,2802,2501,2728,2946,2881,2767,2459,2471,2504,2520,2562,2714,3030,3298,3208,3007,2792,2704,2671,2720,2815,2817,3191,3495,3235,3060,2966,2777,2833,2905,2879,2956,3227,3404,3387,3303,3052,3478,2960,2910,2960,3102,3313,3518,3392,3120,2925,2823,2863,2941,2865,3120,3383,3602,3358,3225,2971,2862,2859,2984,2887,3042,3248,3536,3272,3171,3017,2848,2859,2906,2852,2847,3295,3282,3117,3593,2937,2708,2862,2767,2656,2824,3122,3302,2951,2512,2335,2241,1987,1902,1715,1507,1307,1253,1082,994,916,835,681,676,574,532,504,418,389,360,319,311,225,229,210,200,241,152,139,148,129,95]
[108,119,141,157,164,182,178,238,251,305,355,342,388,436,527,571,648,777,892,975,1173,1376,1613,1987,2543,2849,3213,2713,2428,2300,2135,2306,2425,2782,3296,3533,3424,3319,2997,2687,2678,2643,2798,2910,3506,3737,3620,3392,3192,3065,2888,2815,3016,3143,3806,4124,3894,3530,3405,2997,2883,2934,3075,3360,3819,4016,3842,3713,3450,3042,2848,2858,3050,3230,3875,4079,3811,3605,3407,3032,2942,2952,3016,3329,3679,4095,4729,3509,3286,3075,2930,2958,3008,3375,3795,4147,3782,3630,3278,2966,2888,2906,3014,3184,3811,3940,3856,3491,3214,2882,2897,2742,2791,2975,3705,3917,3613,2962,2720,2320,2172,1966,1807,1892,1400,1219,1152,1056,973,781,775,634,561,547,463,418,364,358,311,302,249,245,239,197,178,166,140,138,88,105]
[108,107,124,148,148,178,168,190,271,261,307,337,410,438,624,567,637,807,877,930,1167,1364,1553,2077,2974,3347,3364,3378,2961,2470,2381,2461,2509,3062,3817,3918,3823,3550,3216,2963,2760,2857,2942,3194,3941,4133,3958,3705,3468,3039,2915,2929,3681,3490,4609,4752,4337,3910,3739,3145,2987,3104,3077,3653,4437,4734,4598,4298,3974,3467,3097,3122,3221,3511,4328,4795,4465,4324,3883,3359,3187,3108,3236,3686,4219,4671,4613,4157,3719,3993,3091,2997,3136,3661,4288,4639,4252,3965,3510,3160,3000,3067,3195,3526,4432,4583,3997,3773,3323,2949,2920,2961,3133,3475,4205,4495,3862,3387,2779,2394,2160,1891,1759,1577,1465,1313,1393,1026,946,808,710,699,594,572,457,434,382,333,330,305,274,260,229,155,187,164,133,130,109,108]
[110,96,118,143,151,159,226,212,254,263,304,341,426,407,500,526,673,908,945,967,1087,1344,1486,1911,2789,3211,3363,3422,3087,2381,2360,2437,2418,2911,3467,3732,3835,3742,3273,2874,2803,2841,2742,3129,3920,4152,4004,3745,3580,3116,2998,2894,2983,3373,4294,5428,4147,3872,3598,3143,2995,3069,3080,3627,4558,4655,4468,4378,3889,3145,3110,3024,3097,3472,4282,4715,4496,4268,3781,3219,3147,3032,2979,3387,4254,4629,4418,4193,3765,3289,3055,3135,3689,3454,4318,4565,4201,4017,3669,3327,3065,2940,3139,3462,4293,4504,4034,3769,3524,2988,2930,2884,2830,3424,4096,4351,3797,3380,2914,2414,2185,1944,1768,1588,1390,1278,1167,1114,976,1004,764,694,594,518,499,391,388,374,361,313,260,260,226,205,148,153,136,130,114,108]
[101,105,123,127,154,173,199,237,222,270,320,347,444,473,498,562,651,784,896,988,1441,1228,1456,1912,2417,2725,2879,2947,2482,2294,2192,2224,2274,2676,2939,3238,3342,3205,2805,2656,2643,2524,2615,2871,3245,3595,3503,3520,3023,2893,2736,2655,2695,3106,3551,3766,3555,4229,3362,2956,2800,2786,2899,3354,3844,3917,3948,3626,3468,3035,3072,2905,2993,3221,3793,3791,3840,3712,3414,3055,2873,2808,2992,3156,3710,3820,3872,3664,3288,3003,2907,2823,2871,3151,3718,4539,3727,3568,3231,2879,2851,2776,2748,3099,3410,3533,3478,3364,2945,3036,2670,2637,2512,2907,3373,3412,3290,2991,2541,2170,1969,1851,1732,1498,1348,1205,1094,1004,874,794,740,668,719,561,476,425,412,338,297,297,276,214,204,208,173,144,143,113,116,109]
[95,122,125,131,170,163,196,194,217,267,289,349,372,429,519,551,685,726,841,993,1139,1229,1372,1750,1716,2103,2283,2310,2073,2084,2066,2082,2121,2378,2533,2829,2840,2812,2624,2601,2431,2436,2599,2727,2818,3062,3128,3070,2879,2783,2693,2634,2692,2798,3047,3143,3336,3208,2905,2900,3331,2735,2806,2957,3152,3336,3418,3273,3039,2883,2809,2688,2790,2933,3087,3293,3346,3252,3014,2998,2939,2758,2751,2865,3087,3407,3388,3150,2995,3033,2714,2787,2788,2875,3208,3309,3292,3754,2970,2849,2741,2674,2832,2873,3115,3116,3193,2995,2858,2686,2606,2456,2474,2754,2769,2808,2787,2504,2249,2194,2046,1930,1770,1539,1358,1323,1157,980,966,881,752,656,608,577,499,501,402,362,346,257,268,237,199,210,172,153,137,122,107,97]
[117,108,127,126,165,184,181,227,234,274,309,359,410,433,517,540,623,724,829,1030,1142,1321,1364,1522,1657,1857,2436,2049,1973,2054,2132,2164,2318,2342,2506,2538,2709,2671,2433,2552,2558,2502,2600,2653,2780,2843,2996,2874,2815,2738,2796,2656,2743,2668,2754,3004,3049,2922,2796,2748,2836,2772,2814,3331,2989,3184,3291,2991,2894,2845,2841,2827,2859,2871,2919,3161,3121,3023,2846,2905,2855,2716,2778,2759,2958,3049,3016,2974,2870,2781,2907,2826,2849,2790,2959,3047,3020,2837,2808,2840,2851,3244,2712,2785,2839,2981,2830,2731,2647,2667,2637,2490,2496,2589,2616,2700,2565,2524,2114,2120,1989,1770,1618,1424,1336,1212,1025,936,883,814,699,653,613,541,485,453,405,373,345,278,293,214,221,172,178,168,144,116,99,111]
[101,106,127,147,155,168,203,205,248,289,302,333,433,445,528,575,650,762,901,1000,1153,1233,1337,1509,1631,1926,2020,1988,1917,2316,2183,2330,2272,2383,2428,2629,2675,2606,2494,2394,2732,2611,2596,2578,2665,2856,2992,2755,2726,2687,2791,2812,2647,2706,2862,2967,3011,2818,2762,2918,2955,2960,2815,2842,2851,3186,3758,3001,2816,2983,3085,2896,2711,2836,3010,3131,3158,2974,2732,2920,3030,2946,2819,2883,3073,3175,3123,3001,2759,2835,3026,3023,2874,2895,2963,3051,3159,3044,2741,2784,2901,2961,2782,3375,2943,2984,2837,2832,2742,2752,2777,2697,2586,2483,2655,2658,2632,2376,2156,2094,2091,1795,1629,1546,1331,1173,1091,901,823,738,679,634,608,556,475,452,366,378,315,283,269,271,193,211,155,141,129,130,112,95]
[105,122,139,183,146,168,194,210,263,280,313,386,389,469,460,527,622,710,831,936,1059,1313,1373,1539,1662,2005,2212,2107,1897,1919,2119,2366,2832,2379,2555,2800,2698,2606,2393,2447,2764,2826,2456,2442,2758,3071,2853,2726,2706,2642,2889,2950,2629,2643,2783,3042,3102,3019,2680,2661,2951,2927,2865,2819,2885,3159,3111,3037,2734,3337,2971,3103,2974,2812,3066,3254,3057,2971,2908,2862,2970,3015,2913,2787,3050,3154,3323,3065,2814,2766,3044,3108,2944,2855,3044,3144,3172,2952,2849,3000,3085,2965,2806,2750,2832,3064,3762,2606,2765,2758,2786,2634,2437,2494,2642,2801,2663,2196,2101,2116,2037,1910,1632,1536,1329,1157,1096,959,904,831,756,743,640,609,553,449,449,352,354,308,262,260,239,232,164,149,164,124,119,108]
[94,103,127,152,159,167,206,232,256,286,335,381,413,467,526,556,654,758,813,1022,1138,1411,1519,1646,1873,2095,2252,2154,1937,2082,2196,2370,2275,2361,3206,2823,2800,2513,2477,2408,2497,2685,2724,2715,2938,3133,3018,2938,2834,2698,2825,2829,2674,2827,2961,3159,3192,3031,2780,2764,2992,2944,3025,3029,3144,3239,3316,2935,2789,2932,2934,3041,3653,2988,3208,3388,3218,2915,2836,2801,2975,2851,2843,2971,3218,3405,3294,3061,2800,2814,2891,2905,2887,3107,3153,3315,3336,3105,2877,2882,2976,2905,2899,2822,3025,3179,3200,2904,2726,3287,2730,2682,2592,2640,2956,2920,2673,2338,2168,2240,2126,1898,1559,1474,1330,1137,1090,958,825,765,696,680,589,511,439,395,426,385,296,265,275,226,208,205,170,161,175,116,120,106]
[129,106,130,113,166,173,181,196,225,268,323,351,424,462,515,578,655,711,837,1016,1239,1367,1547,1714,2097,2413,2463,2345,2224,2133,2196,2292,2362,2543,2956,3076,2968,2724,3109,2465,2563,2662,2677,2767,3049,3477,3198,2989,2814,2639,2863,2759,2730,2915,3128,3347,3350,3121,2940,2801,2872,2842,2975,3085,3379,3541,3518,3335,3047,2833,2919,2944,2953,3200,3528,4383,3536,3277,3019,2855,2888,2964,2997,2998,3357,3602,3564,3306,3084,2915,2831,2723,2957,2998,3407,3471,3484,3200,2990,2737,2823,2914,2789,3003,3174,3420,3388,3067,2810,2624,2582,2692,3171,2790,3106,3060,3030,2644,2263,2171,2105,1891,1729,1529,1331,1172,1089,1008,814,841,692,682,549,530,443,398,347,354,289,274,255,229,204,187,174,151,131,127,115,111]
[128,98,112,180,175,180,212,225,230,262,317,341,421,482,511,604,612,771,895,1037,1266,1451,1584,2179,2618,3166,3270,3281,2893,2555,2384,2406,2598,2828,3623,3675,3436,3345,3101,2815,3083,2792,2961,2991,3750,3826,3677,3450,3042,2947,2886,2937,2870,3082,3575,3853,3653,3601,3173,2924,2936,3044,3157,3410,4138,4149,3875,3747,3226,3112,3074,3034,3120,3489,4322,4323,4089,4063,4194,3280,3079,3051,3084,3365,4137,4294,3930,4001,3145,3160,2963,3076,3086,3590,3966,4270,3939,3616,3289,3017,2912,2998,2988,3385,3902,4003,3730,3496,3129,2825,2767,2803,2801,3105,3740,4763,3349,2993,2660,2370,2083,1991,1712,1558,1408,1186,1181,1005,905,795,709,651,594,499,491,440,426,343,284,269,214,238,220,173,159,140,126,134,94,107]
[80,104,132,156,166,162,240,199,269,314,367,378,423,475,507,607,662,808,878,1066,1145,1473,1711,2271,3083,3426,3640,3604,3149,2602,2491,2510,2693,3341,4038,4293,3802,3641,3182,2991,2837,2817,2884,4167,4309,4480,4117,3945,3533,3144,3027,2941,3074,3301,3995,4319,4422,4286,3762,3303,3059,3037,3180,3631,4508,4817,4440,4199,3674,3298,3055,3216,3354,3859,4850,4786,4271,4051,3484,3264,3651,3122,3238,3839,4517,4513,4239,3967,3424,3102,3181,3171,3236,4098,4858,4786,4516,4077,3705,3292,3080,3008,3291,3669,4520,4815,4458,4194,3527,3193,2918,2981,3046,3377,4339,4536,3757,3362,3439,2367,2120,1975,1727,1515,1339,1214,1089,928,921,848,726,616,582,498,491,422,401,333,317,271,241,206,196,209,171,141,136,101,114,103]
[87,149,134,139,171,171,171,215,242,356,300,369,355,482,505,581,628,750,849,1004,1139,1373,1738,2407,3242,3554,3834,3710,2855,2634,2550,2554,2925,3752,4289,4084,3803,3545,3123,2901,2917,2794,3001,3577,4339,4551,5087,3936,3462,3115,3012,2906,2820,3032,3321,3873,3679,3748,3730,3222,2976,2884,2891,2906,3499,3923,3967,3886,3715,3271,2983,3028,3099,3427,4210,4538,4304,4136,3610,3180,3056,3095,3219,4518,4666,4584,4322,3930,3365,3083,3122,3114,3518,4379,4881,4639,4413,4034,3419,3038,3004,3117,3275,4074,4690,4591,4303,4020,3434,3038,2782,2812,2898,3320,4041,4235,3665,3356,2952,2429,2158,2220,1748,1554,1394,1185,1172,1009,904,818,740,700,581,521,428,398,358,332,300,246,265,241,224,185,167,165,147,120,115,92]
[107,107,134,155,161,155,199,207,268,292,318,354,439,455,483,564,656,723,880,905,1133,1219,1323,1701,2084,2498,2799,2966,2580,2248,2324,2251,2345,2525,2979,3139,3254,3143,3100,2827,2701,2593,2655,2889,3377,3700,3764,3643,3289,3577,2815,2750,2829,3020,3610,3655,3684,3731,3222,3091,2915,2733,2983,3154,3629,3872,3919,3757,3496,3101,2987,2871,2921,3122,3496,3873,3779,3866,3510,3228,3011,2838,2796,3003,3257,3582,4202,3499,3242,2955,2854,2765,2880,3160,3537,3882,3716,3718,3372,3032,2842,2778,2873,3161,3669,3866,3690,3572,3280,2862,2673,2617,2641,3043,3548,3689,3381,3030,2612,2323,2036,1885,1744,1543,1527,1207,1044,953,873,817,750,675,609,536,508,432,381,368,310,260,233,242,208,192,185,153,124,106,114,99]
[107,118,106,144,147,197,191,209,242,260,282,351,405,447,526,670,644,727,880,960,1056,1155,1431,1515,1790,2135,2422,2426,2210,2245,2127,2147,2245,2385,2583,2717,2829,2820,2604,2648,2738,2554,2457,2634,2764,3020,3000,3181,2948,2820,2835,2673,3282,2651,2884,3099,3182,3118,2916,2880,2921,2791,2774,2836,3205,3278,3376,3256,3069,3040,2810,2773,2865,2902,3230,3455,3422,3506,3122,2998,3001,2700,2746,2908,2931,3249,3215,3257,3079,3449,2855,2779,2794,2830,3043,3306,3428,3199,2990,2882,2801,2803,2615,2826,3033,3166,3095,3070,2895,2780,2637,2574,2602,2565,2694,2934,2700,2707,2427,2221,2067,1946,1776,1554,1356,1168,1088,1167,890,808,735,691,608,500,456,450,413,353,314,270,296,237,217,182,146,144,111,108,103,101]
[101,108,136,130,140,185,189,238,218,287,288,369,370,440,498,562,648,716,1028,988,1151,1281,1383,1411,1721,1954,2081,2138,1989,2058,2207,2160,2239,2370,2329,2549,2556,2533,2505,2484,2589,2560,2562,2590,2693,2840,3018,2866,2703,2720,2753,2754,2685,2750,2863,3577,2974,2913,2826,2806,2926,2811,2861,2812,3053,3046,3142,3007,2928,3061,2909,2931,3022,2905,3112,3305,3262,3103,3063,3035,3075,2909,2784,2802,2976,3087,2999,3000,2932,2925,2878,2803,3170,2947,3090,2926,3049,3012,3476,2939,2859,2956,2695,2867,2974,2954,3065,2921,2713,2815,2723,2637,2670,2528,2687,2762,2551,2384,2180,2189,2083,1835,1728,1494,1384,1197,1101,963,867,760,749,646,605,552,498,510,392,315,327,303,230,257,239,167,144,140,130,136,105,95]
[118,137,116,142,185,185,231,237,252,323,342,394,426,518,584,630,726,770,926,1083,1189,1346,1406,1664,2424,2028,2014,1947,2093,2266,2378,2336,2326,2489,2564,2549,2559,2429,2487,2671,2597,2636,2660,2600,2848,2975,2857,2726,2651,2834,2917,2709,2647,2789,2935,3065,2854,2771,2628,2995,2816,2759,3239,2965,3085,3074,3070,2891,2837,2993,3069,2843,2830,3005,3197,3288,3101,2895,2978,3120,2926,2823,2835,2921,3134,3102,2853,2821,2843,2981,2924,2692,2825,2908,2935,3005,2872,2747,2801,3519,2801,2806,2612,2806,3084,2895,2798,2749,2756,2810,2706,2424,2452,2689,2817,2567,2390,2198,2148,2048,1800,1695,1446,1300,1175,1067,969,797,727,684,644,532,509,458,472,389,462,329,279,267,252,191,163,177,165,117,153,99,74,90]
[96,123,121,155,162,239,192,225,242,260,291,368,365,459,500,531,621,688,825,1002,1120,1371,1372,1504,1647,1973,2532,1926,1912,1950,2316,2311,2285,2226,2455,2732,2721,2498,2310,2391,2675,2823,2683,2627,2772,2934,2866,2878,2678,2644,2912,2901,2770,2698,2831,3057,2933,2846,2642,2783,3015,2956,2885,3325,3007,3230,3125,2898,2941,2901,2998,3063,2866,2852,2954,3245,3351,3076,2869,2879,3027,3101,2860,2679,3049,3063,3187,2851,2765,2721,2934,2998,2872,2712,2916,3125,3078,2895,2814,2667,2940,3560,2818,2705,2945,2994,2904,2843,2615,2739,2824,2794,2643,2471,2576,2725,2734,2368,2188,2090,2163,1772,1582,1463,1270,1104,1030,924,875,753,682,598,562,529,436,441,371,355,351,272,248,229,178,169,157,158,122,126,101,85]
[116,121,130,134,177,182,192,214,219,279,313,352,358,398,521,545,636,793,791,970,1079,1239,1520,1588,1785,2002,2194,2136,1942,2431,2215,2272,2180,2413,2568,2831,2861,2470,2416,2503,2537,2677,2731,2782,2932,2991,2998,2787,2486,2620,2727,2841,2768,2919,3109,3251,3183,2913,2881,2822,2859,2882,2883,3003,3030,3183,3867,3000,2903,2929,2891,3004,3065,3007,3217,3331,3259,2968,2965,2834,2931,2831,2886,2983,3092,3182,3309,2947,2782,2744,2865,2998,2868,2926,2939,3280,3211,2885,2746,2778,2872,2862,2788,2806,3615,3119,2967,2748,2800,2682,2814,2725,2582,2716,2765,2880,2662,2293,2206,2261,2131,1835,1651,1420,1338,1203,1057,929,768,727,672,604,566,536,444,398,393,340,302,296,245,288,210,180,152,156,151,129,122,107]
[95,106,131,138,156,193,184,218,275,280,297,371,409,467,529,601,643,712,869,978,1145,1328,1560,1768,2072,2378,2337,2298,2148,2047,2101,2202,2791,2612,2854,3075,2916,2760,2561,2434,2485,2576,2614,2949,3157,3347,3315,3126,2857,2637,2681,2723,2815,3072,3408,3498,3441,3247,3040,2705,2789,2766,2898,2999,3322,3523,3496,3350,3041,3427,2765,2988,3054,3260,3413,3473,3486,3215,2987,2939,2895,2863,2883,3050,3331,3436,3336,3218,2961,2770,2803,2867,2834,3065,3372,3483,3403,3093,2838,2870,2780,2724,2809,2933,3321,3594,3958,2964,2815,2638,2669,2566,2625,2804,3155,3096,2859,2499,2282,2233,2017,1914,1681,1478,1299,1181,1114,958,834,791,737,621,557,508,450,406,407,327,281,268,257,216,193,193,176,154,110,118,109,86]
[106,125,155,131,166,175,194,234,292,257,309,370,391,447,524,532,638,754,831,1018,1203,1371,1615,1942,2617,2976,2943,2834,2535,2340,2215,2499,2380,2737,3243,4012,3340,3025,2804,2633,2588,2743,2880,3082,3653,3906,3608,3454,3112,2904,2764,2792,3049,3240,3835,4069,3784,3512,3364,3006,2867,2896,3094,3289,3668,4063,3740,3661,3530,3034,2972,3044,3784,3385,4050,4060,3861,3570,3231,3064,2898,2923,3016,3248,3810,3928,3759,3464,3211,2960,2913,2934,3043,3276,3731,3844,3636,3436,3222,2909,2907,2990,2997,3244,3886,4000,3576,3409,3127,3439,2705,2742,2795,3154,3725,3804,3292,2938,2634,2275,2100,1948,1792,1516,1359,1181,1136,980,869,840,748,668,585,521,446,428,358,337,263,257,261,238,220,192,140,133,130,125,105,70]
[122,123,129,138,199,180,175,222,273,263,289,352,416,466,531,577,647,747,853,1019,1063,1377,1605,2195,2913,3244,3492,3424,2827,2414,2326,2402,2652,3052,3542,3848,3736,3792,3751,2852,2778,2793,2990,3452,4166,4320,4032,3801,3203,2975,2889,2901,3008,3430,4195,4326,4113,3736,3420,3055,3040,2909,3141,3453,4183,4272,4104,4018,3702,3134,3148,3172,3190,3584,4393,5707,4273,3781,3508,3159,3089,3132,3143,3531,4358,4561,4117,3955,3365,3088,2947,3074,3204,3747,4293,4653,4072,3742,3388,3064,3001,2995,3110,3773,4526,4444,4242,3639,3292,3018,2758,2786,3514,3559,4420,4007,3503,3134,2665,2323,2080,1920,1670,1513,1360,1162,1086,1033,901,835,746,648,535,505,480,394,357,338,289,266,248,230,219,178,173,134,142,136,75,87]
[106,119,127,129,182,182,176,209,245,293,332,349,380,452,537,552,629,732,857,950,1138,1222,1492,1986,2596,3084,3345,3472,2989,2413,2389,2446,2501,2891,3585,3644,3730,3456,3115,2798,2707,3211,2751,3285,3958,4079,3989,3891,3525,2987,2864,2932,2919,3317,4049,4320,4297,3896,3504,3127,2982,2951,3065,3416,4209,4353,4232,4060,3666,3214,3020,2943,2995,3633,4436,4522,4426,4042,3623,3807,3004,3026,3053,3546,4202,4287,4208,3822,3406,3096,2918,2838,3029,3482,4217,4310,3919,3817,3459,3061,2927,2887,3079,3375,4280,4362,3939,3820,3423,2945,2794,2645,2793,3337,3889,4163,4605,3160,2747,2314,2058,1843,1580,1506,1317,1252,1071,1019,882,785,695,641,554,495,464,391,350,367,301,282,227,210,203,203,158,143,131,109,113,85]
[102,136,159,141,173,175,171,279,236,305,301,349,403,455,494,550,639,753,807,962,1085,1209,1396,1673,2149,2424,2923,2888,2503,2184,2238,2256,2286,2646,2972,3157,3135,3164,2827,2652,2612,2569,2606,2859,4056,3559,3389,3498,3120,2932,2768,2656,2654,2930,3388,3570,3669,3524,3230,2941,2844,2714,2902,3040,3544,3804,3762,3734,3379,2948,2814,2838,2896,3175,3606,3818,3729,3643,3295,3020,2908,3453,2924,3255,3614,3696,3742,3617,3246,2958,2885,2675,2840,3284,3671,3665,3487,3419,3185,3013,2833,2836,2827,3147,3581,3659,3539,3347,3086,2752,2620,2461,2459,2805,3333,3508,3335,3061,2541,2655,1980,1806,1595,1397,1231,1178,993,929,769,736,696,589,518,504,439,428,350,321,304,275,266,189,220,154,153,149,104,118,99,90]
[103,96,122,123,154,202,198,245,249,283,349,344,417,441,499,573,620,722,835,964,1117,1155,1358,1413,1746,2016,2401,2267,2126,1989,2054,1996,2071,2181,2482,2675,2712,2656,2536,2587,2436,2500,2497,2610,2810,2958,3050,3657,2706,2806,2682,2610,2579,2808,2966,3148,3280,3058,2868,2816,2809,2758,2679,2779,3115,3306,3298,3291,3068,2957,2804,2753,2808,2859,3104,3319,3204,3268,3091,2945,2852,2764,2771,2762,3763,3120,3308,3057,3007,2903,2721,2626,2713,2846,3106,3229,3204,3029,2814,2873,2759,2634,2712,2774,2896,3151,3160,3094,2891,2676,2484,2433,2494,2605,2747,2828,2727,2524,2237,2136,2049,1807,1940,1376,1220,1094,988,901,775,698,683,594,551,485,420,393,357,353,276,241,233,203,192,169,182,134,133,118,84,74]
[113,136,129,134,164,155,203,207,256,259,291,323,358,521,474,534,611,700,803,905,1077,1135,1292,1375,1520,1842,2025,2015,1970,1980,2059,2091,2032,2189,2270,2527,2511,2390,2425,2391,2446,2380,2451,2587,2774,2892,2915,2777,2686,2799,3323,2693,2726,2676,2890,2999,3096,2909,2819,2878,2748,2767,2789,2881,2950,3182,3186,3020,2870,2922,3045,2856,2707,2870,3011,3257,3273,3111,2959,2784,2851,2770,2712,2796,2904,3115,3195,3673,2907,2796,2785,2787,2634,2803,2986,3100,2984,2980,2757,2839,2757,2698,2674,2826,2735,2959,2938,2709,2683,2684,2587,2532,2449,2507,2615,2756,2677,2309,2161,2163,2063,1847,1619,1366,1236,1324,933,870,780,680,654,600,542,484,452,409,337,306,261,267,226,215,180,194,162,144,123,116,93,65]
[104,106,129,137,148,159,185,194,246,272,280,314,340,393,468,501,736,663,777,892,1062,1149,1285,1382,1610,1836,1928,1892,1789,1945,2134,2180,2203,2179,2218,2303,2532,2348,2179,2317,2527,2538,2393,2465,2569,2674,2874,2621,2571,2527,2595,2777,2638,3051,2714,2932,2897,2772,2677,2612,2858,2739,2674,2711,2758,2995,3084,2798,2729,2767,2909,2874,2806,2632,2792,3112,3183,3015,2718,2762,2825,2830,2854,2748,2873,2995,3072,2890,2769,2768,3516,2869,2799,2764,2831,3099,3036,2724,2652,2773,2830,2794,2666,2683,2825,2855,2985,2643,2700,2743,2725,2656,2427,2349,2469,2644,2604,2310,2058,2095,2016,1726,1548,1398,1240,1104,903,843,890,643,611,594,465,510,418,393,331,305,268,266,224,222,175,169,137,119,122,128,76,77]
[101,121,127,144,144,161,166,195,226,274,289,349,386,399,457,480,567,626,764,1020,992,1176,1266,1338,1563,1879,1940,1867,1648,1781,2092,2122,2118,2172,2219,2436,2468,2300,2164,2312,2457,2558,2515,2415,2654,2981,2948,2780,2571,2631,2727,2879,2808,2530,2707,2893,3704,2754,2658,2706,2860,2818,2744,2725,2739,2973,3048,2783,2676,2644,2913,2946,2749,2649,2732,3192,3197,2925,2797,2784,2977,3003,2750,2736,2820,3104,3133,2930,2715,2714,2841,3006,2800,3403,2913,3128,3051,2948,2688,2620,3015,2948,2725,2613,2777,2978,2973,2775,2568,2643,2778,2744,2422,2329,2453,2612,2487,2439,2182,2147,2061,1768,1576,1420,1279,1083,1006,828,770,728,643,692,525,486,394,424,357,315,273,261,247,217,180,174,162,139,139,103,97,95]
[99,121,117,140,137,159,183,223,215,290,261,290,373,414,488,554,525,636,767,852,1006,1206,1649,1537,1816,1937,2028,1904,1774,1757,2087,2153,2155,2248,2408,2657,2528,2405,2400,2247,2486,2510,2406,2519,2800,3066,3000,2804,2627,2530,2615,2653,2648,2854,2881,3194,3085,2794,2734,3303,2722,2684,2674,2839,3122,3208,3207,2959,2680,2634,2818,2773,2769,2930,3146,3346,3152,3004,2689,2792,2894,2808,2806,2852,3071,3260,3184,2869,2688,2740,2853,2892,2855,2974,3069,3256,3752,2909,2745,2784,2878,2762,2709,2892,2972,3116,3052,2705,2538,2658,2726,2536,2411,2482,2700,2909,2755,2326,2164,2082,2014,1815,1593,1334,1129,1016,952,807,729,660,617,582,538,560,355,373,345,282,257,239,219,206,176,138,152,127,113,108,86,86]
[95,106,123,139,161,175,179,199,240,251,311,320,326,379,460,523,534,644,708,876,1031,1197,1360,1651,2524,2255,2203,2131,1945,1875,1945,2024,2163,2460,2745,2936,2760,2589,2390,2262,2356,2399,2530,2608,3054,3092,3055,2881,2836,2530,2512,2595,2602,2813,3219,3336,3270,3079,2992,2699,2710,2657,3275,2803,3346,3319,3383,3210,2972,2774,2656,2879,2778,3081,3411,3774,3612,3285,3112,2853,2804,2799,2836,3000,3221,3499,3342,3308,2985,2815,2858,2808,2898,2969,3394,3594,3392,3212,2993,3411,2644,2722,2721,2875,3153,3352,3189,2994,2781,2516,2592,2490,2519,2604,3020,3134,2892,2478,2304,2147,1995,1734,1547,1293,1190,1059,928,851,786,698,600,566,477,429,382,359,338,335,228,228,251,208,187,151,138,115,123,91,99,85]
[110,110,113,123,154,149,172,203,242,258,304,331,380,400,433,501,559,712,728,842,981,1193,1411,1739,2460,2742,2764,2619,2627,1944,1948,2068,2219,2709,3262,3373,3269,3017,2709,2325,2367,2501,2541,2880,3458,3694,3560,3354,3005,2785,2600,2757,2763,2858,3714,3916,3818,3615,3121,2780,2800,2733,2805,3067,3736,4773,3934,3589,3181,2765,2794,2736,2926,3348,3846,4252,4011,3725,3249,2973,2798,2807,2944,3174,3727,3945,3830,3606,3162,2948,2867,2872,2947,3156,3875,4133,3850,3556,3345,2853,2776,2877,3383,3108,3618,3583,3458,3293,2936,2609,2567,2600,2489,2974,3550,3771,3302,2857,2546,2207,1949,1749,1506,1304,1214,1094,990,865,706,659,599,523,463,410,390,342,304,300,254,232,271,190,166,150,146,146,111,99,81,82]
[114,99,125,127,165,173,186,207,232,220,298,297,356,367,409,472,543,619,677,802,969,1157,1414,1921,2701,3251,3151,3258,2603,2163,1957,2587,2187,2968,3794,3888,3657,3398,2862,2445,2455,2492,2641,3231,3812,4026,3923,3625,3007,2701,2737,2651,2787,3342,4219,4432,4184,3775,3279,2851,2759,2846,2886,3398,4006,4453,4197,4181,4018,2953,2790,2819,3033,3469,4467,4699,4324,3827,3457,3087,2872,2795,2990,3530,4331,4485,4145,3958,3435,3077,2850,2837,3052,3636,4352,4498,4211,3966,3403,2893,2883,2875,2917,3222,3929,4146,4650,3357,3068,2729,2615,2549,2808,3493,4232,4100,3663,3208,2662,2172,1883,1686,1507,1289,1173,1012,1008,835,703,641,581,528,442,446,369,312,315,280,252,242,211,198,158,186,127,127,99,80,96,77]
[107,120,112,156,173,186,229,220,239,268,297,362,425,434,506,560,643,781,735,950,1160,1306,1845,2496,2955,2892,2990,2721,1979,2033,2065,2166,3452,3405,3412,3447,3288,2781,2443,2440,2444,2530,3146,3584,3824,3575,3494,2947,2731,2776,2598,2811,3462,3977,3869,3775,3630,3147,2732,2826,2726,2839,3465,4128,4064,4123,3901,3264,2785,3201,2777,3046,3568,4244,4170,4122,3756,3325,2969,2936,2799,2933,3588,4188,4175,4075,3896,3409,2863,2934,2847,2937,3596,4332,4202,4052,3852,3315,2880,2847,2614,2778,3308,3767,3957,3717,4189,3601,2648,2542,2524,2734,3580,4030,3788,3479,2907,2469,2110,1911,1552,1393,1236,1044,955,846,782,668,634,546,453,466,404,355,318,321,272,252,238,208,161,156,143,114,140,98,91,86,80,65]
[105,105,125,149,166,165,162,216,230,228,300,306,338,399,442,483,529,588,691,804,880,1106,1220,1487,2073,2253,2482,2618,2150,2052,1926,2013,1920,2347,3326,2786,2920,2913,2496,2292,2185,2213,2308,2677,3058,3120,3111,3036,2759,2684,2559,2501,2481,2740,3246,3338,3427,3386,2932,2681,2666,2531,2649,2852,3290,3407,3476,3361,2971,2808,2674,2476,3208,3054,3489,3483,3444,3464,3146,2718,2730,2591,2631,2978,3566,3503,3517,3435,2886,2703,2596,2519,2653,3127,3539,3751,3590,3386,3020,2841,2625,2559,2511,2904,3136,3254,3283,3122,2846,3183,2329,2366,2394,2716,3019,3210,3012,2688,2249,2117,1889,1629,1465,1275,1063,929,839,804,698,610,588,521,451,398,393,348,300,292,269,242,222,194,162,126,138,111,108,91,81,77]
[92,134,126,135,129,171,168,182,196,230,274,276,298,361,394,444,478,579,649,817,861,1021,1097,1246,1537,1856,2069,2021,1792,1759,1895,1814,1810,1970,2102,2350,2463,2499,2799,2151,2239,2114,2161,2245,2513,2727,2911,2704,2541,2479,2447,2331,2306,2603,2843,3060,3023,2880,2608,2631,2618,2514,2378,2554,2834,3000,3233,2938,2656,2554,2533,2560,2416,2563,2934,3766,3218,3012,2769,2820,2626,2553,2469,2558,2862,3101,3066,3022,2705,2660,2529,2517,2392,2605,2894,3166,3300,2988,2768,2483,2499,2381,2410,2525,2689,2726,2925,2756,2558,2563,2342,2281,2561,2251,2647,2724,2533,2257,1911,1875,1820,1677,1514,1213,1051,888,856,745,663,587,537,521,478,417,367,338,299,270,244,221,190,193,180,143,139,125,100,111,73,67]
[94,89,110,118,170,166,158,184,232,215,261,282,315,352,405,430,518,565,649,743,904,879,1103,1127,1437,1701,1867,1717,1658,1694,1854,1932,1817,1964,1986,2225,2243,2164,2054,2146,2126,2619,2171,2141,2322,2578,2614,2561,2327,2332,2287,2388,2381,2280,2589,2836,2873,2644,2551,2508,2515,2588,2275,2420,2513,2932,2979,2628,2454,2534,2469,2554,2393,2429,2730,2976,3014,2735,3126,2739,2588,2561,2577,2427,2841,2847,2925,2633,2550,2617,2616,2588,2332,2420,2729,2924,2883,2610,2659,2602,2527,2426,2391,2324,2576,2768,2824,2509,2431,2450,2368,2341,2120,2121,2351,2977,2283,2063,1952,1920,1739,1437,1335,1103,974,895,775,705,578,562,528,451,453,363,356,351,286,235,246,210,202,182,189,150,136,115,95,83,69,60]
[99,94,95,118,127,141,166,225,206,219,240,246,293,328,364,423,436,526,581,668,811,936,1038,1191,1356,1655,1697,1669,1529,1715,1941,1925,1818,1849,1934,2064,2220,2137,1975,1985,2159,2142,2113,2031,2607,2382,2544,2427,2219,2189,2373,2307,2257,2238,2438,2638,2793,2504,2342,2355,2545,2510,2400,2231,2394,2691,2767,2555,2419,2378,2598,2424,2458,2362,2447,2924,2855,2672,2518,2593,2698,3030,2527,2403,2469,2756,2773,2627,2438,2533,2563,2535,2340,2348,2484,2790,2829,2535,2401,2433,2531,2568,2334,2260,2479,2554,2705,2562,2265,2394,2476,2341,2049,1995,2206,2420,2413,2228,2242,1866,1739,1467,1302,1108,998,858,744,629,589,539,465,461,419,351,344,324,309,277,267,191,215,184,174,125,123,122,112,96,76,61]
[77,85,99,116,125,163,172,139,183,196,284,252,305,311,326,419,417,438,518,600,788,895,1049,1218,1410,1721,1775,1521,1500,1558,1791,1917,1789,1843,1941,2124,2340,2045,1895,1954,2120,2189,2069,1969,2157,2521,2565,2781,2054,2066,2298,2294,2113,2206,2338,2668,2668,2358,2145,2205,2471,2455,2195,2200,2459,2644,2686,2469,2202,2185,2335,2468,2174,2341,2523,2838,2809,2494,2376,2491,2699,2468,2358,2328,2936,2708,2684,2406,2276,2358,2467,2427,2205,2215,2487,2650,2713,2349,2211,2377,2457,2391,2239,2143,2382,2708,2651,2372,2173,2313,2394,2320,2046,2042,2162,2482,2399,2082,1808,1894,1813,1730,1234,1082,957,877,706,598,556,500,450,456,394,363,306,323,272,245,232,226,193,174,137,141,121,105,100,65,70,87]
[71,92,122,101,118,134,154,134,187,195,231,218,300,313,320,357,395,469,544,585,772,986,1147,1358,1509,1784,1871,1643,1668,1679,1728,1815,1709,1854,2033,2208,2390,2137,1923,1824,2034,2129,2077,2074,2380,2575,2631,2416,2143,2118,2494,2181,2111,2330,2557,2730,2675,2479,2250,2275,2340,2283,2342,2475,2671,2778,2907,2580,2351,2309,2332,2406,2325,2514,2625,2967,3035,2695,2429,2409,2501,2356,2397,2340,2583,2880,2803,3015,2303,2196,2388,2341,2225,2283,2543,2875,2841,2542,2208,2259,2378,2252,2160,2397,2578,2874,2879,2520,2263,2188,2234,2169,2090,2143,2353,2625,2598,2269,2014,1935,1929,1517,1275,1199,1148,817,692,626,548,519,403,404,399,355,273,269,279,245,224,221,180,148,146,140,139,112,76,81,70,55]
[99,99,96,123,109,136,129,169,160,171,197,231,273,306,288,416,417,476,509,608,761,940,1154,1458,1841,2163,2164,2010,1819,1693,1696,1624,1747,2026,2286,2654,2637,2362,2110,1891,1951,1890,2063,2236,2597,2919,2923,2774,2416,2168,2168,2024,2169,2755,2806,3039,2976,2713,2314,2243,2268,2163,2288,2394,2903,3222,3176,2779,2597,2238,2204,2121,2320,2418,2782,3335,3387,3057,2657,2387,2252,2213,2246,2415,2933,3057,3140,2747,2481,2208,2586,2100,2288,2370,2734,3093,2988,2626,2427,2274,2118,2105,2215,2547,2921,3121,3044,2807,2404,2153,2034,2014,2143,2253,2663,3054,2856,2506,2176,2021,1875,1545,1310,1048,977,799,750,796,583,519,473,359,359,350,296,279,284,253,226,183,163,157,153,129,87,109,99,98,66,78]
[73,104,86,108,115,131,137,143,166,176,184,222,219,267,307,322,392,393,552,564,774,923,1197,1638,2213,2682,2712,2866,2150,1756,1644,1700,1848,2151,2798,3209,3218,2830,2411,1971,1959,2021,2083,2448,3225,3524,3399,3059,2576,2214,2129,2067,2193,2482,3091,3562,4091,3115,2631,2324,2181,2156,2412,2694,3408,3788,3594,3285,2874,2390,2218,2212,2422,2690,3487,3842,3952,3648,3017,2539,2445,2251,2327,2627,3409,3765,3486,3331,2872,2275,2138,2102,2215,3156,3275,3582,3343,2984,2679,2347,2198,2159,2195,2719,3516,3686,3482,3039,2681,2213,2055,2107,2213,2637,3389,3499,3105,2850,2344,2045,1657,1415,1202,1036,905,784,709,639,600,515,514,407,322,325,286,283,224,205,203,176,163,148,129,114,94,87,71,86,71,71]
[91,98,97,115,105,134,143,144,165,189,183,249,202,257,281,314,326,379,453,520,568,1059,1139,1731,2574,3025,3328,3111,2378,1924,1862,1858,1892,2332,3173,3378,3363,3164,2704,2139,1918,2026,2156,2675,3853,4007,3866,3576,2705,2139,2074,2152,2236,2986,3819,4068,4012,3538,3579,2308,2334,2237,2467,3286,4097,4161,3948,3481,2747,2351,2229,2295,2443,3201,4188,4255,4133,3869,3092,2547,2398,2247,2306,2981,3957,4150,3884,3649,3035,2177,2166,2145,2247,2756,3769,4140,4716,3276,2703,2277,2242,2149,2402,3050,4091,4169,3927,3477,2771,2324,2066,2139,2287,3161,3983,3891,3576,3224,2475,1960,1670,1321,1090,949,858,731,657,594,514,476,398,361,313,361,241,238,213,174,180,157,121,135,131,121,110,77,77,70,51,70]
[60,81,93,91,113,105,120,162,164,146,156,183,220,259,290,287,305,346,432,489,555,698,949,1434,2716,2812,3073,3082,2326,1867,1769,1740,1772,2310,2927,2889,2964,2747,2386,2070,1958,1991,1969,2600,3391,3531,3540,3156,2569,2169,2104,2037,2089,2661,3648,3502,3689,3412,2828,2302,2190,2103,2683,2990,3666,3712,3632,3307,2619,2293,2172,2063,2243,2882,3635,3752,3755,3575,2817,2377,2290,2113,2142,2840,3595,3737,3463,3406,2766,2205,2132,1914,2153,2549,3385,3417,3392,3108,2572,2580,2116,2109,2096,2878,3641,3683,3507,3070,2535,2153,1983,2021,1976,2828,3470,3531,3427,3058,2285,1789,1551,1234,1045,1004,737,681,617,538,446,403,386,361,342,299,262,219,245,183,199,165,142,150,137,115,96,75,78,61,55,52]
[80,85,113,96,106,102,97,139,151,164,202,171,187,214,241,283,319,340,381,462,484,650,850,1148,1555,1842,2207,2599,1945,1632,1603,1494,1592,1755,2084,2101,2291,2384,2067,1857,1745,1713,1707,2061,2482,2473,2626,2464,2091,1974,1813,1701,1742,2075,2537,2527,2621,2737,2244,2058,1852,1789,1827,2158,3054,2552,2706,2496,2294,1912,1848,1749,1845,2305,2641,2757,2804,2658,2256,2069,1901,1769,1820,2258,2642,2811,2735,2656,2189,1940,1782,1723,1855,2170,2526,2673,2615,2568,2191,1977,1929,1881,2182,2339,2659,2777,2851,2475,2054,1967,1715,1751,1791,2288,2650,2603,2509,2364,1767,1670,1353,1099,983,788,715,668,537,482,400,375,357,350,304,273,232,218,222,192,161,202,132,134,111,95,96,83,81,70,50,52]
[78,89,86,91,89,108,124,141,151,151,201,193,191,208,248,294,333,326,383,398,504,549,692,815,1026,1396,1573,1779,1545,1500,1640,1309,1232,1412,1568,1753,1845,1840,1573,1504,1417,1365,1401,1567,1934,1960,2122,2046,1819,1685,1594,1499,1552,1717,1871,2137,2301,2235,1946,1844,1661,1539,1565,1755,1974,2165,2199,2685,1834,1679,1572,1572,1609,1783,2050,2254,2450,2319,1955,1793,1701,1550,1516,1823,2079,2157,2296,2162,1775,1703,1469,1518,1526,1621,1950,2075,2143,1974,1745,1662,1640,1441,1539,1688,1951,2651,2106,1964,1665,1547,1518,1358,1483,1650,1974,2030,1972,1711,1554,1415,1165,1017,851,745,616,530,479,476,459,375,368,316,318,271,242,224,196,166,160,142,151,137,159,111,91,111,63,60,57,62]
[58,92,96,92,116,121,92,136,142,142,153,189,206,227,245,270,268,309,341,385,422,520,590,678,841,1140,1216,1344,1279,1298,1274,1131,1176,1526,1375,1462,1526,1523,1338,1360,1303,1372,1338,1430,1627,1822,1801,1657,1551,1552,1444,1400,1440,1504,1725,1844,1891,1768,1689,1538,1496,1423,1474,1490,1832,1795,1886,1841,1622,1598,1743,1445,1448,1574,1760,1950,2039,1816,1711,1662,1487,1525,1529,1523,1762,1861,1843,1715,1563,1464,1455,1372,1413,1494,1638,1821,1812,1736,1587,1487,1419,1347,1416,1459,1674,1840,1873,1770,1798,1393,1346,1329,1366,1451,1680,1682,1649,1431,1319,1102,990,909,757,650,610,519,440,415,349,326,305,272,273,259,229,180,165,177,143,153,115,131,122,114,77,95,63,64,68,52]
[81,62,86,95,115,104,106,123,128,133,158,169,179,203,243,251,260,270,290,313,360,391,478,557,678,916,985,993,1162,1110,1088,1106,1120,1084,1130,1236,1515,1155,1213,1106,1192,1271,1280,1269,1332,1417,1379,1424,1447,1275,1326,1171,1314,1308,1412,1488,1606,1523,1465,1416,1489,1396,1344,1312,1456,1550,1585,1523,1532,1419,1409,1321,1309,1681,1581,1627,1586,1554,1493,1471,1411,1390,1337,1381,1453,1600,1571,1497,1464,1427,1337,1257,1225,1270,1357,1438,1437,1477,1397,1328,1339,1292,1323,1348,1277,1426,1444,1449,1373,1345,1606,1279,1196,1238,1273,1387,1223,1185,1070,999,843,747,647,586,547,456,369,390,340,286,270,259,246,194,204,198,169,162,161,123,115,103,115,95,90,84,68,67,73,41]
[62,69,76,99,80,115,94,123,109,97,145,146,167,187,230,244,261,258,284,302,351,374,411,454,573,641,764,779,808,850,855,886,806,897,855,914,978,1042,931,1191,955,954,1027,1004,1036,1097,1133,1095,1094,1059,1099,1051,1036,1071,1154,1210,1204,1277,1236,1211,1153,1158,1119,1160,1165,1241,1290,1311,1219,1160,1147,1137,1149,1143,1215,1302,1533,1292,1217,1218,1223,1166,1101,1098,1190,1162,1232,1195,1268,1106,1102,1111,1116,1132,1076,1204,1169,1179,1098,1167,1171,1116,1007,1040,1083,1101,1127,1139,1061,1077,971,987,992,1154,971,967,908,882,838,718,708,605,577,516,463,421,400,360,274,293,274,225,232,225,196,174,165,143,149,120,117,87,88,94,82,60,64,68,59,53]
[54,49,79,81,77,116,108,124,109,127,138,143,142,186,183,219,236,230,224,273,300,325,347,394,443,473,576,584,647,630,719,656,740,751,795,762,796,825,824,816,837,833,1019,945,923,887,975,951,916,940,885,950,974,975,989,1071,1087,1061,1031,940,997,969,1013,1094,1065,1032,1018,1049,1042,1015,972,971,961,976,1019,957,1022,1002,1053,1028,1211,1002,1022,967,1052,1038,1001,983,1048,988,944,970,930,971,917,993,956,918,967,914,957,930,942,901,998,929,921,908,945,849,862,827,856,841,775,815,732,843,671,605,632,594,483,474,430,404,311,277,329,266,261,206,201,195,178,153,164,153,130,114,108,106,96,83,91,58,60,63,57,48]
[59,68,60,71,88,75,83,114,114,130,168,140,144,192,155,205,190,213,253,271,295,324,336,320,401,433,460,526,542,558,596,598,606,654,717,690,722,698,697,712,724,729,730,808,992,747,839,815,783,817,832,810,798,826,886,845,916,885,883,807,890,863,906,846,897,918,871,829,874,819,850,860,886,850,837,896,918,964,851,919,864,1025,858,829,876,887,934,924,826,821,892,828,814,872,819,853,797,816,809,814,776,771,866,816,761,765,851,817,724,698,707,738,686,652,669,690,607,605,573,625,488,460,467,381,401,376,311,315,245,261,221,214,193,186,143,140,143,129,138,105,101,96,97,80,76,67,68,38,46,48]
[52,85,78,74,76,75,112,96,96,113,130,140,162,142,157,191,214,197,214,239,285,287,272,350,339,391,387,409,450,485,505,504,511,541,592,572,620,630,633,600,589,614,667,719,669,691,699,855,694,726,694,733,723,713,667,734,796,743,768,744,743,697,825,750,776,749,725,829,779,770,737,750,735,772,793,768,737,796,753,685,738,748,796,748,964,736,820,757,768,733,716,702,773,682,672,747,722,721,692,663,657,712,689,672,647,675,669,680,596,624,635,607,597,588,596,593,554,458,524,449,449,504,368,325,343,325,298,287,247,224,247,210,162,163,143,140,129,130,104,87,109,87,71,66,82,61,65,64,64,44]
[63,62,54,63,80,85,81,93,102,92,108,118,138,134,146,161,163,219,231,192,207,247,255,270,332,301,378,378,371,388,386,363,426,437,530,467,489,504,536,485,490,522,568,607,604,579,576,638,628,619,689,616,595,574,573,645,678,640,660,610,602,603,633,666,694,632,618,664,691,641,636,589,620,619,655,670,677,692,638,652,666,673,666,684,650,656,666,782,666,629,610,674,637,618,609,646,625,579,592,636,574,552,562,575,607,583,559,593,582,536,470,489,464,517,451,478,446,450,444,388,391,382,398,323,294,353,295,265,236,217,193,169,185,144,169,130,114,112,113,114,90,85,83,74,83,73,64,44,53,37]
[50,71,60,73,85,84,86,85,102,124,96,122,112,125,143,136,200,147,192,201,218,207,227,267,247,290,317,319,344,327,351,360,397,403,457,481,474,474,473,486,452,462,504,550,547,595,589,635,551,529,540,545,553,655,572,578,638,608,624,579,544,547,608,632,622,556,637,628,631,589,581,543,610,600,619,596,642,624,638,604,581,556,597,632,594,650,606,587,598,551,547,683,558,567,595,592,588,565,513,529,548,511,540,525,543,546,548,554,533,538,503,493,466,465,431,455,456,419,379,366,315,344,307,309,261,259,216,234,253,184,183,180,176,158,141,108,108,110,123,111,85,108,60,71,67,58,50,42,41,40]
[55,61,63,76,58,73,87,83,96,96,101,104,149,130,155,159,124,176,189,235,206,210,247,252,223,276,286,314,308,317,324,320,347,369,404,389,452,429,453,444,441,452,462,503,511,484,488,469,495,493,507,474,494,503,528,569,654,555,556,477,502,512,531,527,582,565,550,534,569,511,590,525,515,549,518,609,538,507,553,519,483,584,577,517,526,560,534,509,495,524,508,524,531,489,615,506,511,512,542,483,462,443,478,456,471,515,463,442,435,409,419,422,433,380,373,387,362,375,386,326,351,297,308,297,268,260,208,223,216,211,210,213,168,130,150,124,116,103,119,115,87,93,74,71,60,66,65,48,43,55]
[64,78,75,77,69,76,79,99,123,105,104,139,135,154,164,153,173,153,166,191,204,211,245,224,245,242,271,277,266,267,303,297,318,361,324,350,376,402,387,400,382,397,398,406,400,446,467,423,483,416,418,444,447,474,439,516,466,504,463,591,500,490,456,526,488,533,473,501,499,469,439,484,468,459,480,445,466,486,504,488,514,452,498,444,453,473,497,512,453,448,414,444,440,433,455,467,451,556,417,463,429,414,376,411,435,425,403,378,415,406,337,383,381,388,368,329,341,338,315,297,278,296,289,265,224,218,207,206,196,193,188,167,144,132,156,107,114,97,89,86,93,90,70,71,69,60,56,63,42,44]
[71,56,63,67,76,90,97,95,114,95,101,116,118,137,124,138,155,182,156,211,175,178,180,219,218,281,262,224,253,273,259,277,308,268,315,363,341,341,332,371,371,351,348,397,381,402,431,416,420,430,394,425,377,446,447,472,438,467,467,436,428,449,560,443,476,515,467,455,470,422,429,440,427,455,448,436,440,441,425,435,420,438,410,425,457,454,464,441,435,405,414,359,417,386,448,402,448,414,401,441,350,376,387,364,395,379,379,368,373,346,319,350,335,321,326,277,307,334,279,264,248,267,217,215,202,220,226,187,174,170,171,151,157,141,123,125,118,119,108,83,73,83,73,61,81,56,41,60,49,46]
[41,57,53,57,66,72,81,77,87,102,93,88,119,111,123,141,129,118,138,142,158,158,183,202,209,202,184,220,288,239,262,268,282,276,291,323,344,341,338,315,296,330,336,338,316,398,362,387,357,387,373,353,397,371,392,367,429,386,411,396,377,364,419,358,404,486,388,401,384,403,368,394,398,427,430,443,400,403,415,362,387,390,379,418,368,389,357,363,372,404,391,435,372,377,372,376,378,407,371,372,357,352,420,353,369,344,366,349,317,296,306,312,305,309,286,269,250,267,233,267,239,223,181,218,184,210,202,188,174,166,162,163,150,147,139,131,102,107,108,77,76,95,71,67,60,67,47,36,44,44]
[46,48,58,66,68,66,68,81,80,102,92,86,117,116,106,117,121,131,135,140,152,141,156,169,190,209,185,191,188,213,230,278,237,268,282,269,290,265,282,300,280,302,356,318,305,356,348,302,302,351,365,315,327,340,372,387,364,360,397,349,330,338,364,359,394,341,359,363,475,352,370,369,384,362,364,378,395,381,384,336,371,356,359,357,364,368,361,362,340,348,352,350,351,327,346,369,345,351,317,334,324,316,307,322,299,364,331,320,285,316,250,287,277,255,246,287,273,261,242,258,250,179,212,214,198,193,193,192,177,153,156,119,131,125,122,128,131,105,101,101,73,83,89,83,68,66,77,46,47,60]
[54,56,65,74,76,86,75,78,79,90,98,136,114,110,125,116,129,119,124,128,130,140,153,153,183,208,196,196,175,193,206,220,204,251,272,279,294,285,308,270,266,305,294,312,323,309,309,320,303,300,320,302,314,310,348,374,346,304,369,301,364,329,333,349,342,332,332,352,358,341,340,400,307,328,347,363,384,362,333,325,341,341,341,343,329,354,345,339,344,355,312,349,332,347,317,308,325,299,338,309,261,294,302,302,304,290,309,285,359,256,258,266,264,264,213,225,249,231,217,214,194,187,199,186,170,184,168,163,167,167,142,122,112,114,101,113,101,83,111,81,91,84,75,66,67,78,66,65,39,46]
[47,51,52,62,59,55,81,73,67,73,91,89,90,110,95,99,110,97,117,123,134,124,135,154,159,162,197,175,150,180,191,216,194,206,218,207,235,280,274,232,246,222,242,262,261,241,272,313,287,285,269,284,275,329,286,332,332,307,298,304,309,297,286,260,286,312,304,317,302,254,260,274,292,292,371,286,322,319,286,303,297,297,292,297,295,298,310,309,323,280,274,284,270,306,305,292,338,307,263,291,262,278,268,295,252,239,278,281,263,245,244,291,221,207,212,217,206,229,211,197,187,155,172,168,157,148,152,155,146,144,100,113,119,115,104,106,101,115,111,74,86,74,78,81,60,75,55,50,48,71]
[55,71,70,69,71,73,69,92,94,98,87,88,91,103,82,99,108,103,116,95,138,138,140,145,156,155,146,168,156,161,201,172,183,220,241,239,222,224,230,234,283,223,250,252,246,266,259,239,267,265,237,245,279,294,273,273,309,311,297,272,274,289,298,307,289,265,307,273,298,288,290,262,275,279,261,310,285,389,287,266,273,262,279,286,266,289,285,275,283,277,293,300,257,263,258,261,301,286,266,266,238,241,226,256,232,243,220,291,215,230,242,216,167,198,240,187,200,193,175,155,181,159,157,142,144,154,126,138,146,135,125,121,105,113,104,93,88,97,83,74,84,72,59,51,62,57,56,48,65,61]
[62,65,57,60,58,93,69,89,62,80,77,83,89,99,85,101,106,90,110,108,100,96,142,131,134,125,132,133,149,161,165,163,186,183,182,168,221,216,194,212,195,220,271,233,215,246,250,242,226,240,257,242,258,265,257,259,216,225,270,241,273,249,248,252,286,244,285,256,268,259,270,270,263,294,263,276,254,260,274,244,272,235,265,280,274,223,250,266,235,235,223,239,205,212,214,248,230,233,261,249,218,223,239,212,249,203,208,206,196,209,182,202,170,189,200,196,159,203,166,165,146,159,133,160,143,121,140,109,117,119,107,115,110,145,116,88,76,76,83,83,64,62,68,61,59,55,57,42,53,39]
[46,64,53,66,51,70,51,71,86,75,96,93,82,95,94,73,101,113,116,107,116,120,118,116,104,130,150,149,128,164,183,174,144,162,181,157,163,180,163,198,177,193,202,209,208,250,196,185,210,204,214,226,244,213,218,265,248,237,240,229,230,237,244,231,227,242,226,232,228,217,262,222,251,258,269,250,205,220,223,239,224,228,237,263,246,208,237,244,208,215,198,200,224,254,213,227,216,214,193,223,205,213,222,220,207,203,208,193,191,174,164,160,168,178,168,185,154,187,152,150,205,118,156,148,113,122,109,130,104,102,98,97,113,94,80,89,93,85,74,63,66,69,59,49,61,51,57,53,44,42]
[59,48,57,47,66,67,56,76,80,78,73,82,82,85,101,101,81,86,96,97,110,103,99,104,125,130,126,132,118,139,136,133,149,169,172,192,149,161,152,167,195,189,194,184,186,184,172,185,205,184,202,188,216,212,219,191,227,199,210,190,237,215,188,219,180,210,186,183,236,211,211,225,211,220,198,243,204,228,212,224,234,227,236,224,194,196,255,216,188,192,186,204,207,194,200,199,192,200,175,186,202,230,172,196,174,210,172,172,179,168,160,142,175,173,148,161,151,134,132,131,134,129,146,124,127,111,114,107,111,84,90,84,84,82,78,98,76,66,67,75,65,58,55,71,45,47,48,52,41,25]
[38,33,41,45,49,65,64,50,63,62,72,87,79,78,80,68,61,91,91,94,83,91,76,109,125,106,108,96,122,92,130,125,147,155,155,158,141,162,145,158,135,137,171,151,176,174,181,162,168,182,152,205,190,178,191,172,210,209,184,184,183,179,207,175,202,204,199,197,187,192,210,206,208,217,188,196,190,203,206,197,191,195,185,167,186,160,193,189,261,173,178,194,194,175,161,150,184,184,175,196,169,175,198,174,138,176,176,140,137,143,161,127,136,137,168,137,118,131,85,127,109,125,139,110,107,105,115,98,74,103,88,93,73,81,70,84,69,77,61,48,65,80,60,57,40,54,52,48,40,37]
[54,56,46,51,65,47,59,45,58,77,65,66,65,68,88,78,79,79,73,77,99,83,82,95,129,104,109,117,120,105,107,126,133,124,133,147,134,146,142,162,128,133,146,150,161,145,178,184,173,157,186,168,186,183,205,181,178,174,168,175,171,179,174,170,167,164,204,169,202,175,171,193,178,183,155,171,195,157,170,178,166,173,212,182,164,171,201,199,164,158,163,204,177,185,154,160,120,166,151,158,169,137,153,165,139,160,138,140,158,138,162,135,134,133,117,126,123,109,113,97,119,118,120,118,108,93,95,100,101,93,86,88,75,75,78,77,70,65,62,49,57,54,51,50,55,46,47,55,44,44]
[57,50,53,59,42,47,58,55,63,78,50,83,56,61,78,76,80,70,73,85,83,83,79,88,94,108,107,101,111,93,131,118,114,151,112,133,142,147,121,122,143,158,159,127,148,143,162,152,165,141,149,146,154,189,173,153,159,183,173,164,170,185,179,146,183,167,166,154,158,179,180,173,154,150,183,160,185,185,165,174,170,150,167,181,159,152,166,140,167,148,150,156,147,171,190,152,128,137,119,142,133,148,138,145,150,118,140,138,136,127,144,117,129,124,117,124,127,101,117,107,86,108,113,114,110,100,98,87,72,77,69,81,92,72,67,68,63,62,57,59,63,47,64,51,55,43,42,46,50,31]
[38,36,60,44,48,59,57,39,47,62,59,66,63,67,62,71,74,82,78,89,97,67,73,90,80,92,111,97,97,104,93,110,101,110,111,110,119,114,113,125,114,119,137,146,123,119,126,148,154,153,122,146,150,156,135,156,139,152,162,162,205,153,169,177,141,145,158,125,157,156,133,160,159,155,153,151,159,155,134,143,151,124,125,136,148,152,160,153,130,138,140,147,137,164,147,138,138,168,129,127,137,137,129,129,136,133,122,120,117,123,121,111,91,110,129,110,106,94,97,115,84,91,83,100,91,71,86,72,97,91,83,75,67,76,68,77,59,56,65,62,45,45,44,45,51,39,34,32,33,41]
[30,44,32,47,49,52,46,40,49,51,47,46,59,70,66,54,46,62,65,66,66,71,67,69,81,76,109,96,82,99,99,95,85,78,95,120,79,86,119,110,112,107,108,119,120,136,117,128,138,140,142,128,117,102,127,129,112,145,143,130,122,139,129,151,139,140,153,134,143,145,128,159,152,124,145,160,137,125,128,160,116,135,146,138,122,121,127,130,123,108,119,134,109,93,106,137,138,107,118,115,137,109,123,114,111,110,93,121,85,88,112,95,107,94,93,96,78,74,85,75,87,73,83,69,84,72,63,77,61,65,53,64,63,64,47,49,73,59,41,45,42,48,34,46,35,38,37,31,41,31]
[47,48,53,60,49,47,48,48,56,49,64,50,53,51,61,70,60,58,64,69,79,63,70,70,88,80,84,84,106,69,92,104,84,102,95,114,96,140,125,127,103,99,101,116,104,135,121,114,102,106,118,133,140,135,131,126,139,127,129,153,149,140,129,121,137,131,112,131,115,134,122,135,125,113,175,120,128,123,147,111,141,128,138,137,124,124,141,118,117,127,114,136,140,107,120,135,125,105,137,108,135,129,113,101,114,101,94,105,109,111,98,102,96,108,92,105,75,90,94,93,77,68,88,70,83,90,77,62,62,66,73,71,62,70,47,63,60,54,49,50,47,52,42,49,50,33,28,42,36,30]

{"sheet":"Figure_1D_layer_9","index":9,"n_rows":150,"n_cols":150,"rows_kept":150}
[30,28,30,32,26,44,40,42,44,44,54,66,78,84,96,140,202,201,184,212,268,279,220,325,287,367,346,287,461,519,412,476,450,467,410,511,508,549,563,548,512,542,592,546,612,583,671,607,600,633,516,601,650,630,574,603,651,662,676,612,670,679,648,616,634,632,626,636,581,641,625,622,697,721,621,743,715,654,604,580,585,653,675,686,784,707,634,632,623,615,691,606,753,669,667,648,710,601,649,558,589,499,650,594,672,544,577,548,579,535,512,573,570,495,627,465,475,571,430,397,459,427,430,409,382,439,396,320,342,300,341,299,292,291,262,277,259,274,168,186,130,231,145,196,92,149,156,207,96,64]
[30,24,24,32,38,42,42,58,30,66,60,76,88,88,224,175,214,244,316,237,244,333,282,288,309,309,380,393,475,466,463,442,488,468,472,663,599,549,582,538,522,543,657,570,566,635,690,662,623,674,633,619,726,721,721,682,752,688,764,703,730,698,736,754,674,699,766,788,739,708,765,669,768,711,780,720,722,675,793,686,630,693,703,698,737,698,746,675,698,733,727,842,668,716,630,719,750,687,730,618,653,605,626,627,673,599,722,643,547,588,605,572,547,540,568,589,557,581,455,446,467,414,383,410,375,448,355,344,368,264,305,277,300,264,267,255,250,177,211,173,271,221,141,213,257,227,90,137,86,92]
[26,34,58,28,48,42,30,56,32,78,64,221,162,141,234,177,158,220,276,370,296,339,346,399,390,395,358,428,526,551,547,507,592,555,587,566,582,604,661,654,650,639,626,667,739,613,785,729,660,703,726,672,813,661,765,704,804,744,771,738,781,810,819,753,807,788,817,721,681,776,803,846,737,726,798,765,900,758,828,661,791,727,730,742,766,811,728,723,767,769,642,722,661,698,827,735,764,643,760,679,814,721,740,661,775,582,661,635,617,660,693,599,646,679,557,542,533,585,470,492,467,512,445,453,434,368,378,329,365,272,331,347,268,218,210,227,277,262,182,194,217,170,194,201,100,163,94,88,80,90]
[42,26,34,40,50,42,64,76,72,66,200,94,206,187,185,221,291,345,378,345,288,352,494,451,469,374,478,509,580,442,601,556,606,619,588,675,705,741,779,667,680,749,691,653,729,697,720,714,742,827,796,839,788,725,818,809,803,880,811,1028,805,879,858,806,875,829,794,905,860,853,895,853,889,775,783,838,899,846,907,881,860,905,843,764,784,919,837,838,913,809,873,902,755,854,756,771,800,927,840,721,760,773,806,695,755,641,743,670,687,737,674,658,599,601,561,592,617,609,505,509,570,491,504,416,427,372,342,376,405,286,313,293,328,325,326,211,300,302,199,274,208,255,194,229,161,205,168,189,100,147]
[30,40,42,50,58,72,52,74,86,68,164,100,209,212,223,328,301,303,382,331,388,437,471,447,425,606,623,561,587,630,662,645,663,682,692,680,799,654,730,730,728,788,773,810,769,795,792,876,946,689,753,894,888,834,864,939,934,806,943,908,953,848,1092,912,990,940,850,854,875,878,902,884,884,960,935,925,934,930,803,917,900,938,945,875,915,918,874,936,894,885,865,853,854,861,836,897,871,952,855,908,1000,902,819,964,776,1017,802,803,762,796,768,795,736,649,674,684,654,683,591,560,589,589,520,507,455,483,375,400,366,352,311,335,282,318,313,276,327,261,207,209,218,206,254,191,185,217,150,211,153,141]
[38,44,50,52,54,66,70,94,189,112,173,216,228,271,322,300,297,305,367,423,399,457,499,503,491,520,612,675,785,672,669,745,642,731,726,764,872,841,774,854,819,790,810,931,828,905,876,893,908,902,984,996,968,962,886,886,923,882,909,895,1011,942,987,972,946,933,1109,906,907,926,971,975,972,1004,872,990,973,822,964,954,895,889,1020,987,1056,976,1021,870,981,953,1020,966,875,924,1066,882,874,953,853,916,886,876,941,1021,843,840,867,828,826,808,776,765,815,666,738,631,756,735,543,659,511,554,578,534,456,428,490,418,424,365,381,339,331,248,318,314,278,238,246,262,317,216,209,195,98,147,217,221,171,109]
[34,62,44,28,44,56,74,100,116,166,193,192,262,330,226,297,338,374,416,432,442,422,520,502,629,612,757,702,766,799,741,848,1057,838,879,844,931,845,877,926,903,965,973,950,941,931,981,962,958,916,871,1067,1040,1027,1080,909,971,1046,1095,1083,1078,1163,1120,1008,1013,1121,951,1072,1052,1076,1076,1021,1027,1065,1063,1068,988,1018,1150,1079,966,1011,1048,979,1057,983,918,1026,1037,955,1115,1039,1007,1029,1020,847,1041,970,929,953,979,934,900,887,903,975,1058,886,937,839,866,863,814,822,865,746,775,723,717,609,551,621,488,677,654,492,447,520,341,446,334,360,371,247,248,290,313,306,303,257,235,189,160,212,167,157,138,178,136,130]
[46,62,76,44,76,60,153,121,160,238,161,144,279,294,285,291,417,415,420,523,609,533,633,575,623,748,689,705,840,859,728,867,857,805,969,1180,855,908,1002,997,987,983,1098,1009,1051,1078,1132,1037,1103,1192,1075,1075,1110,1120,1183,1071,1127,1184,1076,1118,1222,1121,1262,1199,1163,1119,1146,1133,1111,1241,1120,1111,1129,1210,1115,1173,1112,1217,1126,1149,1156,1168,1208,1127,1053,1145,1183,1020,1106,1169,1152,1116,1077,1120,1004,1159,1127,1137,1151,1083,1044,1139,1034,1079,1047,982,987,995,987,887,1051,990,846,881,882,832,774,767,746,693,675,668,608,607,504,519,514,463,436,418,404,308,344,350,353,366,351,262,276,237,296,155,297,263,202,173,176,214,135,183]
[56,62,70,72,70,88,135,199,164,232,240,257,254,423,382,373,350,452,452,391,634,586,706,667,716,645,770,834,824,1023,976,1044,1007,1062,1098,1004,1044,1093,1367,1078,1114,1108,1168,1117,1132,1148,1098,1122,1201,1106,1247,1258,1293,1207,1166,1266,1208,1148,1234,1250,1330,1325,1364,1383,1377,1359,1322,1238,1210,1278,1332,1356,1267,1255,1254,1250,1401,1353,1159,1292,1282,1176,1330,1199,1301,1327,1136,1146,1177,1179,1248,1244,1356,1289,1212,1105,1212,1189,1179,1161,1190,1168,1148,1142,1035,1161,1013,1120,984,1067,1074,1056,896,1173,928,920,856,825,774,710,736,726,613,644,532,514,619,431,433,407,392,340,409,306,300,321,319,235,258,249,187,232,264,207,158,250,173,216,155,209]
[48,86,82,54,148,165,171,134,203,240,263,342,304,369,464,462,443,548,550,580,680,684,646,702,771,845,869,926,965,987,943,1115,1182,1107,1141,1130,1103,1204,1176,1244,1253,1424,1264,1310,1333,1267,1305,1259,1345,1300,1335,1323,1309,1321,1285,1259,1287,1332,1372,1215,1425,1437,1363,1410,1377,1471,1418,1376,1248,1399,1273,1361,1441,1497,1302,1331,1460,1405,1397,1745,1325,1430,1402,1343,1355,1391,1355,1249,1374,1350,1347,1383,1421,1258,1243,1254,1351,1203,1147,1325,1196,1267,1249,1220,1208,1201,1154,1127,1098,1047,1148,1140,1057,981,1086,903,1051,747,804,756,670,692,726,586,572,631,463,529,512,478,474,414,368,345,321,356,345,290,309,233,317,224,214,202,155,191,174,209,217,125]
[66,62,88,159,195,90,146,220,307,249,224,280,330,408,352,409,490,580,600,615,655,762,740,902,866,936,1055,1023,1035,1066,1102,1093,1238,1124,1304,1333,1259,1345,1298,1294,1300,1375,1529,1440,1634,1501,1427,1420,1407,1417,1511,1364,1471,1368,1546,1436,1580,1503,1447,1326,1459,1520,1483,1419,1449,1411,1576,1488,1517,1476,1403,1590,1520,1477,1483,1429,1479,1407,1354,1425,1399,1660,1482,1360,1352,1370,1468,1385,1338,1426,1228,1390,1489,1412,1363,1386,1385,1464,1399,1231,1273,1299,1303,1312,1285,1312,1151,1259,1225,1082,1171,1077,1149,990,1055,995,996,910,828,1016,850,836,843,739,668,606,551,621,453,474,439,426,353,362,311,308,316,275,254,307,245,191,230,230,183,159,205,142,216,195]
[58,72,122,80,207,139,165,245,211,262,360,332,394,443,477,515,582,579,716,748,756,817,818,887,1005,947,1230,1124,1223,1216,1169,1312,1302,1374,1295,1331,1503,1352,1453,1477,1536,1601,1419,1504,1447,1511,1546,1938,1519,1632,1606,1654,1589,1593,1640,1638,1540,1694,1653,1579,1674,1609,1796,1641,1629,1628,1650,1500,1589,1589,1589,1702,1664,1672,1637,1711,1560,1663,1516,1545,1620,1679,1647,1546,1819,1553,1520,1606,1546,1411,1495,1435,1533,1528,1397,1548,1605,1466,1541,1434,1464,1483,1482,1346,1452,1345,1439,1416,1306,1219,1260,1150,1213,1145,1250,1015,1123,959,1028,817,968,839,892,680,635,709,661,520,474,537,496,498,465,437,391,361,335,321,291,244,328,216,248,170,148,206,201,212,180,96]
[76,56,159,165,100,218,177,138,235,324,321,487,437,409,539,586,614,723,745,765,884,983,1004,1048,1122,1113,1183,1269,1276,1337,1547,1455,1392,1496,1548,1406,1559,1656,1580,1575,1583,1679,1620,1680,1586,1615,1572,1723,1936,1672,1623,1633,1765,1715,1579,1614,1643,1755,1714,1709,1682,1688,1863,1750,1729,1646,1665,1717,1642,1834,1683,1763,1604,1729,1794,1625,1757,1709,1810,1672,1677,1695,1660,1736,1596,1925,1734,1715,1628,1567,1707,1687,1666,1635,1664,1588,1531,1536,1497,1578,1525,1531,1541,1481,1517,1522,1393,1460,1365,1310,1321,1196,1362,1123,1066,1147,1026,999,987,982,875,823,794,949,690,639,597,481,654,437,468,465,477,411,360,311,351,356,294,296,222,276,238,254,199,215,206,215,205,188]
[70,70,183,182,203,165,221,223,261,335,345,430,442,465,651,625,640,758,854,976,875,1015,1073,1102,1163,1230,1247,1342,1398,1490,1469,1590,1507,1601,1489,1608,1558,1629,1642,1752,1617,1795,1730,1761,1737,1646,1742,1816,1778,1750,1880,2182,1993,1833,1872,1818,1858,1815,1959,1938,1846,1878,1757,1939,1991,1909,1945,1813,1831,1914,1939,1835,1880,1942,1780,1754,1800,1946,1892,1799,1897,1831,1812,1779,1836,1789,1703,1734,1749,2156,1807,1658,1714,1838,1662,1577,1705,1724,1805,1796,1705,1755,1669,1602,1703,1589,1526,1557,1532,1382,1480,1400,1410,1332,1260,1290,1263,1143,1098,961,992,849,860,869,718,689,768,670,597,503,453,473,476,406,396,438,383,371,262,345,255,199,220,294,283,155,176,147,219,200]
[82,188,92,189,221,198,279,281,303,416,342,448,447,510,596,621,653,926,960,939,957,1145,1200,1190,1339,1449,1434,1589,1568,1606,1740,1580,1683,1763,1822,1767,1704,1801,1824,1999,1879,2029,1874,1759,1894,1813,1827,1914,1946,1905,2121,1900,2113,2015,2509,1963,1881,2052,2026,1993,2081,2132,2134,2132,1997,1985,2079,1960,1966,2075,1997,2030,1927,1845,2101,1924,1885,1985,1981,2063,1985,1855,1944,1967,1923,1872,1892,1821,1767,1861,1870,2247,1845,1964,1929,1764,1863,1833,1856,1751,1769,1795,1732,1652,1667,1660,1594,1515,1682,1659,1542,1555,1435,1398,1412,1373,1266,1281,1206,1117,1022,1022,935,857,784,765,615,633,695,673,542,464,480,383,475,437,363,360,348,306,285,315,260,229,271,204,187,203,220,210]
[92,148,199,156,244,218,249,305,359,378,459,466,615,590,604,772,814,827,923,1350,1260,1083,1302,1438,1461,1532,1424,1619,1632,1848,1838,1881,1895,1887,1939,1861,1849,1889,1968,2054,2037,2119,2111,2113,2070,2033,2017,2003,2138,2111,2283,2176,2255,2174,2164,2074,2083,2609,2179,2136,2258,2244,2184,2255,2152,2163,2179,2272,2140,2351,2315,2203,2178,2052,2175,2187,2110,2198,2183,2224,2088,2220,2147,2118,2121,2093,2051,1982,2189,1949,2198,2116,2047,2019,2386,2007,2074,1954,2059,2031,2050,1972,1855,1976,1889,1806,1803,1952,1688,1668,1801,1526,1530,1446,1459,1473,1334,1181,1142,1086,1178,1133,931,837,838,732,666,633,621,564,461,504,415,485,406,350,408,387,254,271,262,271,257,256,256,287,174,168,181,100]
[115,124,135,236,168,285,245,299,291,379,423,507,604,711,787,816,996,900,1070,1054,1158,1466,1758,1664,1590,1491,1712,1767,1898,2087,2082,2150,2074,2141,2238,2059,2109,2274,2112,2305,2285,2368,2240,2272,2308,2398,2267,2383,2161,2256,2345,2373,2419,2305,2363,2323,2404,2133,2519,2497,2840,2504,2408,2277,2384,2375,2354,2298,2198,2407,2393,2339,2484,2294,2345,2376,2162,2181,2217,2308,2445,2274,2293,2211,2095,2164,2175,2063,2233,2121,2323,2302,2251,2088,2078,2062,2074,2584,2009,2088,1945,2091,2012,2027,1900,1946,1820,1769,1803,1776,1724,1611,1538,1576,1489,1373,1433,1286,1247,1123,1043,960,879,814,850,892,664,681,685,620,597,581,488,435,521,459,381,337,358,373,288,326,273,231,225,257,225,190,175,205]
[177,217,196,236,180,268,292,382,343,436,525,669,602,766,875,994,1150,1108,1154,1204,1374,1430,1649,1668,1652,2127,1978,1984,2160,2184,2253,2322,2296,2295,2191,2239,2368,2431,2348,2442,2379,2633,2592,2521,2383,2343,2360,2424,2543,2412,2584,2777,2487,2408,2444,2355,2456,2512,2492,2499,2545,2474,3060,2561,2515,2456,2534,2488,2480,2397,2351,2604,2572,2468,2403,2528,2329,2288,2298,2286,2538,2440,2427,2420,2337,2209,2337,2355,2380,2386,2309,2314,2494,2323,2333,2358,2230,2318,2100,2401,2578,2177,2186,2204,2030,2016,1926,1861,2131,2062,1980,1833,1784,1752,1570,1640,1521,1370,1383,1220,1176,1096,952,891,881,851,771,743,686,624,558,571,567,472,404,428,347,444,381,266,358,256,306,219,240,227,271,198,223,206]
[160,236,175,253,264,254,322,277,453,459,572,523,605,709,972,1093,1129,1250,1325,1378,1626,1702,1610,1745,1750,1897,2010,2130,2737,2339,2516,2508,2579,2449,2387,2502,2322,2556,2543,2521,2821,2649,2659,2687,2490,2725,2607,2533,2603,2924,2776,2816,2753,2620,2658,2747,2603,2638,2682,2798,2690,2857,2826,2871,2563,3198,2906,2790,2696,2981,2811,2746,2706,2702,2424,2735,2518,2700,2618,2728,2590,2677,2655,2473,2574,2480,2513,2584,2598,2432,2550,2393,2541,2445,2614,2387,2382,2473,2422,2297,2435,2476,2471,2844,2189,2152,2282,2216,2172,2095,2073,2101,1804,1814,1763,1522,1520,1529,1466,1316,1095,1127,920,1143,907,801,728,789,758,737,649,540,588,586,432,414,379,390,362,342,440,327,309,305,238,296,249,185,181,261]
[181,178,215,268,284,286,325,316,383,496,561,570,690,873,1057,1115,1328,1400,1446,1686,1747,1873,1905,1940,2191,2211,2337,2396,2582,2718,2629,3384,2569,2686,2623,2696,2732,2933,2926,2899,3042,2910,2975,2887,2908,2925,2857,2918,2858,2948,3086,3091,2993,2860,3065,3156,2971,3080,2914,3092,3082,3006,2985,3112,3052,3038,2974,2885,3642,3058,3004,2906,3037,2890,2814,2962,3073,2820,3062,2969,2746,2730,2889,2763,2961,2787,2593,2856,2953,2869,2923,2786,2726,2696,2567,2759,2774,2671,2534,2680,2666,2558,2641,2511,2433,2522,2894,2565,2360,2384,2242,2092,2091,1859,1849,1735,1647,1501,1416,1329,1266,1256,1145,1057,1000,933,915,775,832,728,626,576,681,493,493,506,411,431,436,343,353,304,300,377,281,197,287,189,220,171]
[150,258,259,188,246,227,368,447,454,490,582,648,718,869,1046,1115,1442,1547,1974,2034,2146,2320,2264,2439,2372,2531,2658,2716,3032,2996,3066,3273,3039,2936,3404,2880,3059,3123,3213,3262,3152,3163,3218,3270,3141,3200,3058,3278,3440,3384,3402,3279,3208,3427,3076,3246,3321,3361,3329,3357,3437,3494,3291,3128,3176,3278,3182,3315,3328,3476,3382,4025,3275,3131,3179,3034,3200,3105,3264,3280,3144,3089,2942,2929,2902,2782,2865,2991,3124,3034,2958,2883,2957,2927,3017,2883,2919,2757,2777,2940,3101,2901,2797,2677,2740,2620,2626,2739,2605,3255,2538,2425,2329,2190,2158,1756,1851,1521,1602,1457,1310,1187,1157,958,1122,988,808,847,684,676,572,606,573,594,499,549,454,457,499,388,344,379,348,265,318,299,350,258,262,258]
[240,200,269,279,282,275,341,376,494,557,617,776,816,900,1109,1364,1646,1918,2265,2478,2707,2738,2699,2756,2854,2869,2990,3273,3464,3666,3653,3476,3383,3210,3189,3385,3432,4342,3861,4037,3782,3784,3622,3489,3469,3512,3612,3805,3893,4019,3886,3814,3599,3487,3472,3388,3622,3795,3882,4196,4004,3751,3660,3607,3622,3488,3597,3724,3828,3794,3919,3697,3572,3537,4063,3344,3604,3559,3623,3767,3701,3598,3335,3280,3356,3276,3334,3318,3587,3496,3499,3347,3224,3222,3220,3290,3198,3272,3459,3260,3474,3179,3088,3013,2929,3068,3112,3188,3271,3052,3107,3316,2498,2362,2202,2003,1861,1718,1599,1487,1413,1323,1166,1255,1039,981,897,831,860,802,584,653,626,577,626,541,488,468,435,407,372,307,395,364,288,236,247,180,250,224]
[244,181,301,294,249,313,334,401,521,575,677,669,807,1103,1227,1359,1773,2199,2685,2885,3381,3313,3114,3287,3094,3137,3229,3651,3925,4212,4113,4127,3809,3477,3422,3551,3700,4087,4039,4469,5179,4242,3780,3769,3762,3585,3872,4134,4432,4643,4566,4271,3876,3913,3577,3613,3876,4006,4577,4533,4404,4387,3934,3936,3858,3750,3930,4079,4140,4381,4335,4037,3712,3729,3583,3574,3701,4285,4212,4061,4095,3898,3590,3491,3631,3495,3417,3719,3915,4016,3963,3660,3629,3293,3206,3187,3394,3687,3804,3975,3732,3631,3351,3226,3146,3168,3395,3531,3480,3605,3665,3161,2846,2596,2372,2656,2043,1726,1579,1484,1523,1344,1289,1220,1181,1003,976,917,804,772,753,656,598,637,528,532,529,461,396,387,377,344,373,275,284,322,252,176,219,223]
[237,203,261,280,264,294,422,448,525,603,739,905,912,908,1270,1545,2003,2386,3012,3715,3903,3862,3725,3371,3442,3172,3329,3705,4446,4905,4944,4433,4272,3842,3825,3738,3855,3994,4432,4997,4985,4760,4601,4131,3779,3730,3797,4162,4638,6167,5059,4834,4365,4133,3864,3609,3887,4104,4818,5174,5190,4723,4355,3977,3667,3789,3689,4030,4557,4866,4922,4459,4254,3854,3724,3607,3710,3916,4368,4819,4789,4522,4266,3661,3379,3485,4232,3751,4368,4377,4598,4238,3869,3633,3269,3462,3460,3844,4053,4516,4222,3928,3752,3486,3365,3254,3381,3694,4038,4319,4113,3398,3162,2949,2483,2261,2226,1918,1879,1676,1476,1382,1311,1565,1259,1024,1090,865,855,774,818,725,591,660,538,560,481,565,436,358,389,351,323,252,357,220,198,272,177,210]
[172,176,193,264,392,361,384,470,455,620,655,778,838,1097,1407,1596,2144,2528,3510,5005,4980,4934,4522,4082,3484,3665,3637,4076,4789,5864,5442,5473,4885,4431,3836,4052,4102,4216,4925,5623,5761,5545,5397,4730,4249,4054,4042,4215,4773,5706,5836,5451,6260,4305,4254,4171,4000,4234,4968,5951,6006,5393,4928,4382,3838,3885,3948,4278,5172,5755,5471,5299,4825,4190,3818,3932,3961,4020,4782,5286,5427,5197,5012,4225,3854,3714,3798,3868,4684,5998,5148,4880,4512,3823,3693,3765,3857,4149,4699,5307,4987,4621,4290,3716,3511,3578,3425,3892,4800,5409,4844,4772,3751,3125,2818,2533,2225,2157,1800,1700,1583,1459,1370,1316,1233,1151,1167,964,793,763,779,664,590,601,564,505,464,420,462,423,389,340,313,267,305,308,216,212,237,210]
[259,210,217,282,326,377,474,484,531,632,758,813,1003,1054,1336,1569,2062,3180,4288,6439,6265,6421,5671,4409,4089,3974,4154,4366,5565,6657,6506,6468,5635,4962,4461,4522,4441,4721,5774,6617,6232,6191,6197,4919,4385,4638,4454,4715,5888,6699,6572,6539,5787,5028,5309,4250,4473,4748,5894,6675,6791,6111,5564,4886,4452,4375,4589,4798,5963,6867,6160,6215,5426,4523,4383,4055,4052,4515,5526,6353,5953,6105,5698,4418,3984,4064,4137,4471,5241,5928,5570,5601,6128,4084,3779,3838,4054,4413,5526,5877,5603,5428,4714,3936,3805,3588,3718,4578,5769,6406,5835,5291,4284,3467,2835,2687,2349,2098,1844,1840,1713,1489,1441,1319,1211,1099,1029,1004,857,1073,663,687,669,569,630,482,439,427,400,397,400,316,288,225,235,329,201,244,253,150]
[200,208,272,272,310,335,428,533,510,622,698,833,1047,1174,1395,1676,1976,2475,3719,5338,7420,6454,5717,4488,3961,3920,3895,4318,5388,6707,6874,6660,5996,5061,4468,4476,4236,4808,5860,6636,6871,6812,6139,5177,4826,4323,4502,4800,5886,6853,7024,6686,5983,5347,4810,4501,4556,5650,6016,6652,6835,6352,5530,5255,4509,4639,4693,5022,5840,6788,6658,6153,5893,4826,4406,4346,4342,4652,5642,6275,6457,6122,5583,4860,4255,4226,4032,4324,5245,5746,6066,6022,5077,4416,3987,4902,3881,4337,5494,5748,6033,5807,5074,4224,3951,3696,3946,4603,5715,6213,5897,5533,4624,3420,3096,2750,2423,2124,2062,1850,1654,1575,1490,1351,1275,1102,1122,920,910,849,790,744,898,612,621,508,424,428,382,456,345,397,329,247,229,247,247,265,223,196]
[237,272,237,296,349,402,379,481,565,688,729,813,1023,1172,1471,1535,1893,2216,2881,3894,4600,5341,5048,4879,3515,3369,3620,3637,4165,4808,5616,5435,5056,4571,4308,4315,4002,4052,4673,5452,5829,5886,5415,4841,4332,4209,4155,4223,4875,5710,6051,5881,5381,4826,4543,4278,4224,4176,4835,5695,6971,5789,5110,4657,4311,4235,4261,4387,5119,6000,5739,5715,5236,4517,4377,4138,3977,4320,4647,5649,5809,5123,4853,4200,4353,4134,3866,3918,4290,4705,5291,5143,4528,4219,4145,3872,3803,4783,4468,4804,5225,5080,4471,4055,3994,3777,3722,3915,4789,4799,5075,4805,4249,3518,3038,2800,2614,2365,2108,1906,1845,1645,1532,1374,1418,1279,1112,985,943,786,783,819,651,555,683,623,499,435,424,413,353,291,329,241,249,279,272,251,198,271]
[296,280,343,347,362,360,456,548,622,804,858,1002,1236,1453,1734,1973,2236,2673,3093,3667,3997,3740,3372,3986,3372,3401,3470,3596,4335,4620,4799,4354,4240,4320,3982,3862,4179,4300,4607,5136,5046,4778,4432,4389,4117,4037,4062,4303,4775,5214,5155,4724,4540,4483,4238,4203,4031,4519,4922,4865,4721,5563,4318,4439,4276,4165,3948,4533,4817,4854,4928,4537,4329,4278,3940,3879,3829,4119,4600,4830,4533,4276,4028,4209,3865,3904,3748,4123,4104,4623,4571,4333,3980,3842,3818,3677,3662,4760,4200,4373,4393,4139,3819,3732,3563,3521,3600,3920,4123,4179,4048,3521,3395,3177,2983,2643,2313,1948,1782,1714,1538,1545,1370,1165,1254,1053,882,976,905,812,693,687,569,684,519,709,430,461,393,422,350,346,346,341,277,278,204,185,253,184]
[197,218,247,351,349,415,474,463,555,655,753,962,1092,1258,1497,1726,2115,2147,2234,2959,3426,3498,3481,3400,3628,4284,3718,3728,3905,4180,4197,4054,4143,4063,4254,4047,4081,4030,4246,4433,4880,4583,4263,4386,4350,4257,4401,4112,4313,4720,4965,4693,4289,4361,4682,4404,4516,4391,4506,4686,4877,4633,5276,4647,4385,4377,4332,4224,4494,4878,4741,4624,4255,4569,4352,4156,4225,4226,4329,4408,4651,4426,4121,4251,4457,4233,4218,4569,3961,4308,4445,4088,3887,4270,3997,4106,3923,4427,4093,5121,4424,3907,3886,3886,4044,3993,3879,3878,3861,4071,4031,3548,3461,3485,3038,2800,2574,2274,2038,1769,1680,1600,1496,1330,1288,1212,1118,1071,885,891,795,768,704,721,651,480,624,491,425,449,385,308,367,378,303,223,291,248,229,244]
[209,278,312,268,332,454,470,423,564,684,767,810,1218,1398,1422,1810,2106,2268,2413,2879,3404,3362,3168,3222,3681,3776,3701,3778,3825,3968,4383,4177,4044,4005,4269,4581,4161,4080,4147,4482,5011,4652,4287,4177,4296,4522,4290,4368,4163,5595,5042,4849,4503,4153,4422,4664,4692,4546,4411,4881,4869,4887,4477,4387,4628,4811,4540,4307,4462,4797,4679,4588,4292,4236,4548,4498,4419,4177,4212,4587,4484,4520,4327,4256,4494,4613,5090,4174,3983,4400,4697,4268,3975,4339,4150,4279,4090,3789,4007,4254,4351,4102,3924,4083,4211,4323,4001,3662,3935,4111,3983,3746,3399,3367,3513,3034,2612,2345,2230,2031,1874,1676,1469,1699,1361,1242,1143,1045,1004,978,887,733,748,712,673,548,548,464,509,394,361,395,415,348,340,249,246,322,260,234]
[230,224,324,325,337,391,424,537,509,649,780,945,1004,1219,1434,1795,2104,2208,2848,3041,3498,3526,3539,3138,3467,3840,3816,3830,3707,4177,4294,4302,4139,3992,4090,4470,4586,4213,4168,4405,4934,4489,4377,4141,4324,4547,4537,4396,4368,4524,4931,4930,4502,4293,4579,5732,4524,4526,4735,4984,5017,5129,4678,4232,4463,4928,4474,4551,4598,5024,5026,5038,4421,4203,4418,4594,4456,4427,4301,4779,4848,4678,4326,4161,4298,4423,4298,4182,4132,4578,4753,4508,4048,4900,4410,4184,4350,4141,4243,4409,4632,4387,4097,4000,4337,4329,4042,3918,3848,4302,4307,4064,3664,3299,3228,3217,2786,2390,2189,2118,1909,1754,1551,1515,1421,1290,1235,1182,1067,950,1140,744,630,730,668,569,561,572,549,385,410,434,443,301,308,248,307,252,189,227]
[248,297,264,325,376,444,475,573,602,746,809,945,1035,1167,1430,1876,2214,2318,2738,3069,3618,4628,3557,3597,3656,3779,3931,3989,4213,4584,4565,4613,4183,4052,4179,4205,4529,4320,4336,4828,4879,4950,4425,4187,4141,4596,4511,4377,4784,5026,5255,5013,4709,4471,4670,4677,4793,4737,4912,6037,5216,5002,4726,4499,4456,4665,4719,4721,4720,5040,5158,4893,4640,4326,4474,4409,4522,4377,4643,5023,4913,4492,4346,4244,4347,4192,4407,4292,4436,4829,5107,4673,4371,3946,4448,4414,5306,4471,4582,4689,4842,4511,4247,4356,4139,4343,4284,4166,4236,5292,4553,3943,3693,3471,3364,3082,2764,2562,2371,1975,1877,1716,1629,1402,1451,1309,1111,1082,922,908,889,835,677,707,590,537,566,466,437,530,398,415,303,324,367,247,351,274,265,251]
[276,278,328,374,360,390,462,581,626,717,864,846,1180,1256,1662,1881,2413,2781,3239,3971,4507,4519,4472,4050,3670,3803,3860,3801,4585,5001,4977,4822,4539,4306,4204,4299,4210,5393,5040,5535,5365,5268,4767,4245,4200,4435,4539,4598,4971,5567,5959,5526,5093,4533,4481,4773,4684,4691,4931,5740,5834,5713,5114,4657,4473,4435,4525,4750,5174,5848,6025,5602,5038,4730,4508,5605,4488,4352,4939,5444,5596,5418,4841,4483,4286,4334,4385,4512,4949,5695,5421,5123,4939,4304,4412,4426,4480,4383,5066,5479,5421,5206,4815,4444,4168,4229,4117,4108,4696,5120,5183,4635,4562,3539,3378,2959,2844,2565,2256,1981,1914,1742,1601,1549,1486,1363,1174,1186,1075,1063,954,782,755,667,651,585,604,487,495,437,437,426,332,388,352,298,306,294,188,277]
[235,280,311,345,448,371,489,539,628,691,853,952,1075,1319,1478,1910,2393,2795,3923,5403,5862,5746,5391,4727,3737,4200,3919,4214,5003,6074,5799,5457,5324,4605,4381,4363,4508,4577,5040,6199,6033,7158,5353,4501,4477,4555,4394,4837,5548,6456,6387,6009,5786,4883,4800,4511,4677,4643,5893,6672,6615,6433,5953,5051,4754,4529,4781,4753,5714,6588,6570,6093,5610,5033,4671,4409,5486,4547,6584,6680,6038,5990,5537,4602,4359,4388,4481,4634,5604,6254,6230,5668,5041,4520,4292,4280,4488,4848,5980,6215,5939,5694,5087,4468,4327,4135,4127,4637,5638,5939,5520,5126,4503,3607,3448,3073,3328,2395,2327,2157,1907,1896,1530,1635,1414,1393,1282,1044,1037,1031,829,848,737,573,614,588,568,514,497,475,423,349,369,348,275,304,283,323,228,220]
[241,287,223,299,429,408,449,642,644,740,851,912,1167,1350,1616,1838,2125,2824,4058,6048,6685,6823,7922,5350,4477,4312,4268,4390,5429,6592,6761,6649,6292,5015,4622,4507,4647,5020,5811,7126,7212,6736,5902,5174,4606,4630,4434,4730,5786,6722,7228,7288,6373,5708,4838,4801,4895,4993,6219,8496,7188,6897,6307,5441,4971,4890,4935,5282,6542,7467,7094,6370,5855,5113,4847,4865,4586,4778,5941,7280,7327,6880,6100,5079,4653,4501,4575,4726,5717,6972,7038,6474,6058,5049,4777,4583,4574,5987,6478,7186,6899,6299,6117,5076,4547,4381,4349,4869,6028,6852,6338,5923,5280,4284,3663,3326,2774,2603,2435,2280,2037,1871,1704,1507,1459,1398,1115,1141,1042,938,1007,861,778,753,747,618,544,442,523,469,432,403,445,342,290,302,272,288,202,154]
[290,279,406,359,365,471,472,571,591,820,843,1001,1146,1335,1562,1842,2282,2716,4006,5985,6127,6281,5971,4622,4092,4016,4058,4509,5039,6470,6425,6420,5535,4829,4605,4219,4213,5376,5499,6710,6501,6124,5737,4613,4370,4342,4252,4532,5619,6585,6928,6679,6040,5291,4677,4703,4661,5256,5932,6768,6795,6364,5894,5257,4775,4701,4584,5205,6179,7124,6974,6245,5780,5067,4709,5616,4431,5264,6308,6954,6779,6275,5801,4529,4431,4485,4447,4924,5848,6515,6587,6200,5267,4792,4439,4723,4342,4774,6257,6992,6684,6375,5788,4993,4539,4315,4280,4612,5894,6734,6260,5716,6236,3951,3614,3143,2788,2507,2481,2202,2051,1896,1841,1558,1456,1487,1211,1106,956,944,856,784,663,669,678,537,535,528,404,462,421,372,374,383,290,252,246,264,157,207]
[259,338,366,332,407,388,611,533,598,785,817,960,1432,1432,1620,1786,2180,2583,3506,4547,5265,5348,4762,4090,3892,3832,3696,3848,4424,5114,5392,5225,5099,4618,4323,4153,4097,4234,4439,5026,5465,5542,4978,4429,4093,4064,4064,4153,4501,5247,6782,5822,5256,4776,4455,4484,4289,4441,5074,5805,5961,5902,5419,4810,4624,4543,4512,4951,5302,6925,6061,5520,5115,4594,4385,4320,4385,4693,5377,5699,5980,5642,4990,4700,4231,4001,4188,4381,6164,5204,5840,5208,4729,4305,4225,4244,4333,4541,4949,5380,5976,5649,4891,4475,3875,3790,3799,4027,4789,5511,5645,5326,4370,3750,3511,3047,2834,2496,2354,2021,2042,1871,1777,1552,1365,1504,1146,1094,958,887,905,765,743,644,648,557,564,543,521,332,436,327,406,284,290,324,210,230,273,251]
[271,317,321,412,475,469,589,628,645,693,921,1042,1294,1398,1676,1880,1939,2274,3176,3531,3926,4050,3849,3578,3636,3620,3593,3701,4077,4541,4584,4805,4416,4412,4219,3923,3883,4215,4419,4915,5032,4828,4534,4289,4636,4110,4096,4344,4605,4903,5259,4896,4613,4368,4433,4398,5140,4346,4687,5110,5001,5144,4780,4653,4629,4323,4538,4599,4789,5159,5210,4870,4694,4534,4420,4270,4415,4158,4489,5146,5068,4862,4551,4565,4310,3964,4123,4241,4581,4901,5101,4880,4621,4379,5120,4167,4264,4136,4832,4934,5258,4913,4535,4278,4190,4075,3724,4233,4601,4958,4783,4328,3943,3658,3473,3134,2978,2771,2419,2203,2109,1829,1802,1538,1396,1349,1254,1068,1069,964,975,926,733,721,715,624,539,447,479,421,496,304,381,326,308,301,335,179,252,255]
[247,359,319,329,441,530,525,625,730,839,901,1050,1132,1385,1605,1765,2139,2244,2333,2765,3275,3592,3447,3969,3787,3891,3791,3901,3898,4027,4158,4164,4429,4027,4290,4104,4271,4220,4346,4539,4530,4496,4449,4242,4281,4450,4353,4337,4587,4645,4917,4833,4520,4472,4427,4405,4526,4549,4647,4870,6010,4725,4681,4476,4767,4594,4514,4648,4646,4697,5100,4926,4644,4636,4493,4367,4507,4407,4576,4805,4908,4788,4512,4504,4529,4452,4599,4549,4300,4650,4728,4670,4541,4457,4514,4393,4496,5354,4263,4599,4556,4804,4369,4383,4191,4238,4253,4137,3980,4320,4396,4133,3729,3596,3598,3262,2986,2752,2468,2297,2038,1950,1706,1547,1500,1424,1349,1256,1140,1108,883,961,823,766,722,724,626,580,584,464,453,380,369,384,369,297,194,255,261,206]
[367,257,407,385,357,420,573,536,728,692,911,1004,1128,1477,1587,1755,2316,2291,2301,2769,3208,3539,3316,3115,3364,3749,3859,3758,3989,4072,4201,5100,3938,3993,4228,4477,4184,4156,4184,4389,4885,4553,4478,4102,4335,4651,4377,4483,4463,4678,4927,4749,4518,4304,4615,4767,4419,4420,4668,4897,4953,4824,4486,4568,4608,4708,4791,4564,5357,4954,4962,4703,4620,4478,4422,4607,4587,4472,4437,4695,4799,4779,4516,4491,4410,4745,4665,4300,4559,4560,5061,4699,4528,4162,4570,4491,4770,4042,4346,4604,4647,4477,4299,4245,4582,5297,4056,4099,4199,4328,4505,3989,3851,3628,3584,3264,3036,2728,2429,2191,2031,1985,1769,1583,1442,1397,1285,1267,1060,1015,937,854,793,736,707,652,547,593,534,474,446,451,336,435,314,261,270,233,270,222]
[299,344,320,306,496,512,510,624,620,759,851,945,1208,1380,1601,2000,2245,2255,2316,2968,3086,3510,3247,2848,3241,3779,3776,3806,3820,4020,4254,4354,4217,3963,4269,4570,4437,4339,4401,4550,4782,4854,4415,4148,4295,5264,4568,4377,4385,4611,5717,4715,4666,4235,4765,4845,4892,4609,4477,5008,5045,5208,4140,4307,4578,4906,4696,4595,4498,4911,4972,4947,4627,4370,4592,4959,4627,4381,4405,4819,4823,4747,4423,4378,4612,4642,4578,4389,5508,4825,4909,4807,4427,4418,4534,4776,4623,4303,4559,4647,4900,4507,4454,4226,4555,4359,4402,4116,4071,4276,4484,4180,3811,3416,3601,3534,3089,2942,2577,2458,2139,1953,1768,1622,1572,1806,1280,1256,1174,1154,806,840,774,803,659,753,688,562,473,504,444,402,449,345,302,283,349,268,216,281]
[335,335,331,423,344,430,458,576,703,738,955,1014,1202,1406,1692,1986,2165,2322,3303,3180,3544,3549,3365,3128,3504,3853,3809,3885,4119,4771,4746,4305,4106,4103,4281,4263,4354,4255,4838,4599,5063,4579,4212,4405,4391,4485,4560,4625,4514,5030,5155,4987,4507,4581,4473,5713,4729,4572,4749,5079,5240,4943,4798,4367,4551,4771,4824,4785,4764,5154,5473,4983,4591,4540,4656,4903,4584,4501,4634,4941,5467,4872,4599,4339,4451,4633,4624,4509,4710,4942,5135,5204,4778,5472,4598,4869,4694,4732,4987,5205,5172,4672,4624,4392,4410,4575,4545,4330,4465,4549,4639,4145,3961,3506,3668,3530,3181,2757,2510,2396,2107,1975,1912,1754,1636,1437,1377,1180,1134,1020,1146,882,793,731,743,748,590,538,516,453,498,453,395,360,275,247,254,295,310,241]
[270,309,378,351,394,469,575,607,684,825,952,1005,1245,1469,1592,1935,2302,2684,3151,3895,4243,5243,3839,3541,3289,3537,3875,3902,4603,5109,5355,5054,4812,4247,4234,4387,4258,4488,4761,5178,5713,5531,4807,4553,4396,4356,4652,4442,4849,5306,5819,5423,5131,4588,4419,4428,4619,4725,6299,5558,5515,5360,5076,4747,4583,4644,4683,4846,5257,5782,6039,5475,5164,4586,4757,4496,4390,4388,4737,5325,5681,5325,5113,4509,4380,4411,4443,4672,5011,5296,5787,5259,5068,4546,4501,5482,4606,4779,5124,5593,5649,5236,4876,4543,4316,4228,4377,4357,4625,5297,4981,4422,4189,3608,3611,3478,3043,2789,2613,2313,2186,2007,1709,1706,1577,1443,1410,1178,1129,915,1031,932,914,844,705,605,615,592,436,542,412,346,436,319,304,329,278,230,280,272]
[291,344,451,539,514,500,682,748,920,1101,1431,1369,1565,1805,2293,2602,3372,4531,5328,5580,5301,4523,3685,3589,4030,4351,4535,5792,6246,6760,5506,5041,4534,4256,4442,4547,4994,5547,6303,6105,5604,6068,4632,4413,4665,4691,5365,6284,6444,6132,5715,4982,4729,4511,4743,4779,5510,6118,6388,6129,5502,4980,4796,4670,4714,4934,5484,6236,6753,6011,5761,5304,4697,4483,4700,4701,5064,6724,6332,5810,5500,6151,4689,4703,4711,4786,5593,6215,6081,6146,5668,5160,4754,4710,4813,4766,5532,6383,6260,5674,5215,4824,4305,4435,4518,4690,5452,6081,5862,5387,4412,4180,3702,3425,3273,2965,2550,2549,2598,2023,1942,1807,1513,1532,1423,1254,1121,1052,942,867,821,819,671,668,600,592,596,479,475,418,383,294,322,342,304,283,232,209,234,167]
[258,304,330,464,513,445,480,629,660,909,1140,1099,1301,1483,1653,1997,2551,3061,4642,5891,6241,6735,5916,4704,4121,4210,4352,4666,5902,7080,7362,6759,6100,5448,4839,4682,4768,4830,5902,7211,7272,6569,6131,5412,4953,4717,4662,6128,6288,7376,7301,6871,6300,5324,4933,4902,4823,5101,6276,7203,7157,6861,6042,5219,4689,4723,4971,5317,6231,7342,7256,6419,5764,5381,4985,4917,4829,5214,6092,6786,6923,6282,5903,5226,5000,5840,4712,5179,6212,6962,6862,6798,6039,5213,4774,4889,4893,5350,6539,7037,6756,6325,5485,4719,4684,4338,4591,5097,6389,6840,6834,5752,4960,4069,3655,3430,3255,3011,2698,2421,2289,2120,2309,1767,1590,1532,1330,1275,1193,1133,924,891,773,743,754,645,533,459,539,436,381,384,369,370,346,311,300,193,320,203]
[266,382,376,427,418,417,569,655,699,861,926,1374,1306,1506,1632,2056,2176,2842,4228,5516,5987,6034,5572,4171,4012,4048,4075,4519,5613,6679,6689,6350,6170,5066,4659,4621,4366,4802,5568,6412,7040,6693,5984,4994,4517,4489,4510,4912,5707,8202,6669,6509,6005,5222,5221,4604,4534,5205,6088,6655,7013,6138,5543,5064,4801,5004,4790,5151,6126,7044,6536,6113,5553,4928,4665,4676,4762,5061,5852,6611,6493,6231,5285,4954,4703,4643,5607,5342,5908,6759,6542,6247,5635,5052,4727,4781,4726,5208,6274,6700,6506,5962,5393,4989,4566,4378,4628,4861,5746,6805,6244,5689,4876,4064,3688,3337,3201,2901,2633,2496,2126,2082,1923,1857,1846,1304,1416,1197,1308,1003,872,896,835,795,605,702,625,539,523,403,422,371,337,369,313,294,295,276,229,229]
[297,303,368,446,420,555,517,599,766,756,888,1019,1181,1515,1555,2193,2077,2462,3033,4069,5001,5042,4854,3844,3595,3462,3600,3866,4339,5081,5669,5695,5175,4573,4458,4365,4234,4316,5541,5143,5895,5740,5373,4776,4482,4431,4344,4600,4937,5610,5962,5777,5056,5408,4514,4485,4465,4686,5207,5642,5815,5817,5161,5022,4439,4261,4457,4651,5048,5675,5907,5728,5275,4975,4667,5391,4525,4767,4900,5207,5750,5326,4988,4705,4477,4303,4489,4771,5286,5657,5811,5474,5122,4576,4658,4368,4208,4802,4752,5621,5824,5777,5055,4626,4292,4104,4096,4180,4725,5365,5616,5195,4666,3940,4234,3180,3119,2640,2643,2442,2141,1888,1919,1808,1567,1499,1298,1294,1153,1055,951,941,755,804,727,657,596,561,450,473,417,413,343,350,373,332,244,293,181,293]
[312,375,389,424,464,531,515,576,685,840,1008,1033,1360,1430,1597,2011,2002,2420,2483,2987,3747,3959,3806,3436,3350,3613,3372,3813,3967,4410,4747,4915,4571,4227,4307,4317,4948,4303,4430,4816,5011,4739,4892,4661,4670,4385,4390,4557,4825,5009,5214,5104,4827,4610,4459,4337,4209,4628,4785,5117,5026,5197,4821,4649,4564,4445,4420,4540,4564,5234,4778,4880,4978,4653,5486,4354,4677,4714,4687,4991,4888,4889,4708,4522,4276,4628,4581,4521,4777,5222,5282,5021,4931,4729,4528,4449,4459,4545,4567,4965,5053,4753,4680,4593,4262,4128,4153,4098,4242,4386,4609,5195,3926,3840,3647,3437,3238,3106,2523,2221,2283,1964,1893,1765,1731,1535,1417,1210,1102,1091,974,883,780,847,800,651,605,559,498,462,482,457,362,283,361,320,326,264,287,265]
[255,310,355,326,452,475,561,586,718,864,854,1153,1225,1453,1897,1815,2168,2319,2431,2782,3365,3387,3246,3182,4037,3606,3613,3645,4020,3929,4123,4126,3916,3979,4252,4334,4402,4402,4405,4270,4627,4406,4369,4764,4460,4577,4571,4529,4695,4709,4906,4871,4475,4451,4545,4472,4478,4724,4783,5813,4857,4938,4621,4453,4526,4435,4576,4511,4629,4677,4997,4646,4430,4427,4605,4491,4553,4474,4753,4781,4704,4732,4356,4670,4612,4285,4425,4537,4581,4888,5057,4702,4484,4660,4484,4489,4574,5300,4448,4703,4992,4503,4396,4201,5343,4417,4238,4156,4124,4446,4331,3979,3657,3599,3525,3241,2861,2840,2543,2416,2200,1870,1759,1660,1469,1416,1403,1231,1136,1016,985,919,776,744,797,639,612,583,605,473,407,388,478,459,341,349,313,234,217,217]
[320,370,351,462,500,493,498,498,648,829,911,1008,1190,1360,1533,1986,2070,2236,2503,2767,3963,3457,3163,3103,3562,3904,3912,3811,3873,4116,4132,4182,3815,4000,4064,4325,4368,4395,4334,4479,4576,4675,4403,4427,4429,4804,4807,4492,4779,4787,5190,4739,4589,4278,4514,4973,4756,4610,4713,5956,4906,4893,4655,4467,4623,4914,4878,4755,4777,4943,4970,4893,4547,4272,4681,4967,4813,4517,4735,4805,5017,4708,4541,4495,4457,5166,4572,4406,4538,4712,4961,4841,4473,4439,4675,4870,4606,4436,4490,4710,4771,4494,4523,4399,4554,5593,4374,4120,4109,4251,4411,4186,3981,3516,3586,3318,2964,2794,2519,2300,2158,1916,1794,1743,1508,1601,1276,1253,1206,1118,949,931,739,825,859,617,667,616,496,560,503,437,413,364,288,266,298,259,277,212]
[295,443,410,407,471,496,589,661,744,847,918,1114,1249,1415,1709,1997,2336,2384,2500,3066,3482,3500,3227,3139,3469,3862,3988,3961,4005,4185,4518,4329,4130,4084,4153,4336,4529,4365,5430,4675,4753,4760,4400,4381,4349,5068,4803,4650,5258,5156,5183,5123,4698,4443,4822,5054,4915,4807,4886,5264,5318,5054,4799,4593,4765,5193,4806,4793,4644,5069,5340,4954,4686,4640,4907,5958,4731,4629,4610,5140,5064,4762,4518,4761,4650,4895,4711,4636,4777,4801,5132,4748,4738,4476,4834,5015,4882,4406,4528,4991,4940,4886,4654,4420,4795,4871,4585,4403,4468,4606,4516,4189,4068,4534,3763,3442,3245,2837,2823,2324,2077,2092,1894,1749,1719,1571,1352,1223,1173,1100,1023,895,861,821,824,667,638,587,495,522,388,428,364,370,371,332,287,267,297,274]
[282,333,423,428,368,493,565,578,708,849,961,1154,1255,1495,1730,2107,2361,2403,3203,3160,3383,3504,3402,3258,3418,3673,3857,3898,4261,4567,4764,4473,3976,4330,4249,4474,4705,4397,4652,4773,5085,4666,4739,4450,4611,4645,4891,4956,4965,5244,5369,5320,4990,4612,4780,4833,5880,4953,5184,5462,5333,5233,4959,4734,4986,4908,5069,4856,4998,5205,5651,5100,4890,4715,4775,4897,4732,4702,4756,5266,5365,4877,4809,4593,4764,4735,4944,4854,4822,5300,5463,4757,4830,4617,5985,4878,4569,4557,4758,5012,4934,4922,4465,4694,4676,4699,4451,4456,4558,4825,4738,4289,4163,3769,3649,3672,3554,2927,2780,2399,2274,2144,1984,1617,1549,1597,1453,1246,1150,1064,996,899,783,826,721,744,597,560,483,575,474,481,469,362,387,317,275,332,268,232]
[323,353,428,370,423,507,599,668,739,785,932,1175,1383,1510,1791,2020,2281,2654,3109,3944,4355,4442,4207,3612,3566,3673,3763,4090,4543,5316,5303,6108,4687,4332,4128,4381,4664,4704,4813,5442,5451,5348,4967,4626,4446,4682,4713,4858,5325,5684,5877,5627,5087,4797,4731,4862,4746,4845,5343,5970,5996,5581,5192,4957,5061,4834,5095,4873,5423,5846,7129,5661,5203,4932,4837,4660,4733,4890,5258,5699,5919,5307,5090,4849,4707,4710,4906,4782,5134,5755,5720,5459,5298,4736,4806,4774,4693,4752,5069,5679,5617,5311,5190,4699,4476,4536,4561,5181,5018,5296,5110,4616,4463,3986,3721,3585,3230,3122,2684,2621,2421,2132,1888,1805,1662,1586,1416,1336,1257,1124,1006,927,876,872,807,613,663,509,534,504,490,463,386,484,373,357,304,233,209,239]
[370,363,422,412,517,607,620,724,706,825,962,1146,1322,1514,1805,2167,2485,3023,3711,5043,5795,5469,5219,4749,3827,3944,3976,4200,4969,6181,6314,6285,5565,5165,4728,4518,4514,4877,5177,6328,7801,6067,5504,4981,4876,4591,4806,4922,5733,6727,6661,5800,5920,5080,4968,4856,4837,5119,5743,6366,6545,6016,5685,5134,4888,4939,4986,5077,5874,6431,6248,6096,5527,5224,4753,4625,4683,4993,6804,6032,5970,5733,5491,4984,4646,4630,4656,5046,5779,6259,6402,5998,5662,5092,4972,4839,4955,4925,5422,6646,6517,6234,5650,5210,4562,4721,4659,4716,5442,6325,6025,5578,4882,4337,3881,4318,3128,2944,2732,2415,2199,2131,1993,1864,1636,1560,1518,1221,1194,1048,903,941,908,786,756,713,623,506,425,546,395,440,354,349,301,307,308,278,219,194]
[332,376,326,432,476,580,655,679,747,838,1000,1141,1328,1679,1831,2120,2660,3375,4819,6500,6637,7684,5648,4691,4199,4270,4238,4663,6064,6919,6841,6526,5876,5055,4799,4636,4994,5155,6242,7013,7193,6845,6045,5569,5115,5008,5137,5546,6984,7681,7325,7138,6516,5627,5381,5373,5281,5593,6664,8970,7506,7149,6428,5765,5386,5130,5189,5560,6808,7459,7179,6644,6083,5442,5129,4892,4955,5423,6625,7045,6940,6192,5905,5256,5073,5068,5130,5534,6713,7216,6981,6565,5964,5362,5311,5211,6123,5864,6866,7341,7126,6622,5955,5423,4949,4890,5029,5443,6732,7209,6824,6247,5279,4375,4092,3491,3351,3149,2872,2567,2444,2266,1936,1744,1703,1587,1427,1262,1165,957,1002,885,864,877,735,596,620,438,518,427,357,427,372,280,287,290,280,268,265,253]
[376,380,366,406,493,578,660,641,750,854,1049,1251,1503,1660,1905,2110,2518,3315,4845,5936,6243,6273,5269,4359,3940,4130,4261,4857,5717,6281,6423,6071,5410,4848,4858,4628,4649,6248,6266,6669,6689,6428,5842,5121,5082,4747,4967,5498,7075,7499,7060,6632,6050,5291,5170,5095,5093,5923,6679,7358,7005,6632,5923,5359,5258,5251,5113,5802,6359,7286,6840,6385,5815,5164,6004,5340,5140,5202,6387,6682,6609,6024,5599,5228,4832,4995,5099,5900,6655,7193,7150,6366,5883,4987,5070,5092,5134,5782,6465,6921,7025,6704,5735,5106,4968,4873,4877,5559,6451,6717,6325,7358,4765,3782,3774,3533,3249,2837,2539,2478,2171,2006,2027,1825,1666,1470,1351,1192,1119,1166,968,1004,851,735,765,660,622,556,506,450,433,376,314,351,375,318,307,319,254,289]
[328,329,480,435,451,529,595,602,852,916,1001,1193,1415,1544,1814,1980,2246,2715,3317,4035,5025,5191,4868,3859,3800,3842,3866,4004,4637,5230,5608,5637,5181,4679,5579,4386,4401,4692,5348,5709,5997,5676,5358,4766,4673,4735,4577,5171,5658,6553,6640,6138,5700,4963,5027,4891,4983,5271,6217,6669,6553,6121,5623,4946,4953,4860,5134,5307,5970,6434,6200,5828,6476,5074,4759,4629,4656,5125,5916,5926,5923,5796,5234,4914,4831,4630,4693,5067,5576,5908,5957,5830,5197,4820,4790,4690,4757,4844,5263,5725,6063,5755,5347,4863,4540,4482,4386,4538,5233,6736,5765,5088,4634,4073,3818,3597,3278,2918,2877,2433,2238,2101,2001,1850,1560,1515,1366,1289,1135,1096,989,977,872,705,705,655,605,584,494,555,519,420,416,334,394,318,385,246,295,243]
[332,328,457,421,432,544,574,642,712,967,1079,1259,1444,1730,1893,2029,2056,2537,2966,3472,4147,4163,3696,3627,3526,3467,3714,3980,4336,4706,4945,4599,4540,4367,4434,4322,4303,5450,4923,4978,5214,4860,4922,4687,4651,4629,4416,4682,5097,5397,5417,5280,4999,4886,4735,4709,4719,4980,5125,5548,5508,5419,5076,4960,4855,4783,4762,4835,5055,5368,5606,5358,5012,4861,5488,4470,4940,4646,5129,5511,5290,5075,4802,4950,4669,4520,4790,4780,5233,5415,5417,5161,4887,4769,4522,4554,4539,4831,5099,5381,5317,5239,4869,4568,4342,4558,4382,4408,4532,4818,4674,4580,4995,4188,3838,3595,3473,3049,2691,2410,2145,2155,2061,1773,1705,1546,1335,1184,1134,1086,1061,808,810,794,687,707,556,526,551,400,441,481,365,392,337,294,247,247,253,298]
[365,362,387,538,470,552,656,689,855,913,1016,1158,1332,1590,1891,2051,2324,2337,2662,2927,3667,3731,3378,3420,3637,3807,3741,3846,4241,4245,4260,4201,4155,4331,4601,4454,4532,4608,4570,4994,5893,4835,4565,4658,4691,4631,4797,4849,5040,5187,5405,4852,4912,4964,4850,4851,4754,4916,5171,5337,5177,5087,4859,4871,4927,4953,4757,4843,5047,5082,5193,4952,4719,4936,4967,4945,4780,5745,4776,5256,5154,4669,4793,4794,4760,4850,4749,4831,5042,4925,5221,4814,4781,4939,4899,4927,4835,4764,4870,4911,5341,4798,4968,4429,4749,4621,4565,4482,4528,4719,4499,4259,4130,4031,4006,4172,3211,3046,2823,2604,2294,2012,1930,1671,1630,1566,1453,1446,1036,1143,1103,965,924,762,781,621,586,594,536,544,490,418,312,377,329,312,295,309,238,213]
[302,330,443,447,489,578,650,602,845,951,1071,1220,1433,1607,1904,2150,2347,2282,2640,3022,3349,3582,3415,3300,3669,3982,3917,3939,3980,4341,4356,4449,4154,4182,4559,4567,4676,4360,4608,4818,4710,4718,4433,5352,4667,4767,5034,4606,5010,5017,5158,4992,4725,4900,5123,4973,4740,5050,4999,5247,5401,5062,4965,4814,5111,5091,4809,4950,4909,5275,5326,5044,4679,4975,4902,5246,4617,4830,5638,4716,5817,4681,4677,4881,4866,4857,4951,5113,4865,5280,5175,4990,4786,5084,4849,4761,4653,4721,4919,5236,5109,4855,4734,4834,4695,4796,4593,4522,4567,4652,4495,4228,3923,3772,3718,3498,3298,3494,2616,2479,2175,2061,1896,1623,1662,1432,1466,1281,1390,1117,1012,909,858,748,696,670,578,621,565,500,481,402,368,404,337,364,236,291,248,276]
[346,321,398,494,447,464,584,720,825,843,1075,1195,1419,1486,2071,2134,2458,2615,2727,3324,3541,3689,3163,3313,3564,4134,4172,3975,4002,4179,4364,4373,4141,4171,4466,4923,4806,4440,4694,4829,5041,4930,4322,4490,5793,4815,4746,4592,4954,5006,4941,5005,4658,4674,4964,5133,5012,4781,5152,5184,5462,5041,4963,4688,5088,5359,5096,4745,4964,5132,5388,4929,4681,4899,4772,5089,5244,4742,4900,5141,5083,5110,5551,4779,5168,5056,4998,4969,5177,5157,5359,5243,4796,5009,5152,5111,5114,4796,4844,5165,5288,4918,4687,4768,5035,5044,4788,4530,4670,4661,4736,4255,3806,3909,3936,3446,3295,2890,2615,2948,2230,1961,1862,1736,1602,1423,1416,1333,1217,1041,988,984,856,718,765,702,600,609,523,522,494,499,407,379,332,269,329,242,283,271]
[291,366,468,407,500,452,620,653,774,932,1222,1217,1495,1725,1930,2359,2529,2606,2979,3505,3688,3523,3316,3384,3724,3975,4172,3876,4370,4697,4547,4519,4287,4274,4459,4555,4728,4671,4748,4961,5338,4882,4420,4610,4594,4930,4983,4980,5994,5584,5290,5057,5067,4785,4893,4951,5021,5187,5270,5540,5478,5199,4906,5066,5106,5540,5156,5126,5194,5703,5389,5260,4874,5012,5075,5230,5033,4821,5263,5366,5297,5006,4788,4967,4822,5269,4855,5126,5309,5596,5658,5338,5143,5010,6356,5384,5020,5085,5490,5546,5399,5352,5080,4906,5047,5067,4846,4806,5064,5301,5151,4571,4241,4090,3891,3944,3387,3203,2846,2601,2414,2023,1917,1783,1756,1553,1463,1234,1210,1139,1023,910,963,791,713,666,587,605,514,454,435,440,379,395,329,279,310,272,298,243]
[323,356,404,424,415,517,677,616,896,847,1036,1099,1424,1627,1791,2163,2422,2856,3523,3957,4316,4343,4131,4434,3767,3683,3956,3926,4551,5249,5330,5171,4739,4516,4527,4366,4856,4666,5042,5511,5515,5249,5019,4576,4539,4701,4884,5056,5184,5986,5831,5741,5067,4884,4900,4990,4646,5137,5274,5998,7341,5799,5297,5007,4863,5093,5495,5130,5137,5681,6365,5509,6595,5274,6003,5231,5148,5387,5358,5439,5476,6568,4935,6401,5041,5555,4973,5341,5333,5437,5712,5573,6428,5191,6175,5119,5443,6340,5667,5429,6990,5049,7139,4844,6021,5028,5083,5214,5406,5163,6025,5897,4599,5169,3838,4380,3068,3819,2718,2999,2180,2481,1934,2157,1731,1857,1473,1284,1296,1126,1089,959,872,744,809,677,701,587,521,483,463,405,412,342,337,390,300,315,289,244]
[338,441,434,490,484,435,550,712,885,931,1032,1159,1336,1795,1781,2319,2593,2935,4302,5321,5984,5808,5401,4659,3949,3852,3945,4246,5463,6132,6354,6390,5529,5601,4699,4862,4641,6171,5919,6032,7075,5798,6197,4936,5072,5043,4766,5699,6304,6415,7159,5795,6502,5256,5203,5059,5097,5473,5889,6985,6517,6712,5690,5711,5059,5155,5067,5652,5949,6891,6591,6443,5758,5543,6076,5211,5285,5349,6164,7085,6868,6544,6220,5299,4956,5166,5071,5447,6347,7081,6717,6465,6126,5516,5233,5243,5436,5803,6524,6918,6699,6673,6030,5579,5153,4992,4988,5370,5847,6956,6237,6879,5121,4651,4203,4187,3508,3109,2933,2667,2500,2232,2101,1881,1759,1605,1579,1359,1292,1172,1099,927,799,831,810,716,683,611,485,467,509,428,483,422,364,294,297,215,241,292]
[360,421,547,471,507,592,685,737,819,979,1179,1322,1459,1685,1920,2259,2688,3660,5541,6839,6768,7001,6579,4539,4067,4130,3973,4819,6432,7303,7303,7160,6349,5797,4930,5062,5024,5285,6329,7174,8653,7031,6383,5546,4995,5097,5077,5811,7229,8104,7615,6940,6631,5542,5076,5122,5185,5638,6928,7445,7526,6995,6260,5787,5173,5341,5465,5725,6831,7498,7054,6838,6313,5712,5171,5084,5261,6847,7053,7612,7315,7144,5962,5580,5147,5365,5505,5793,7058,7594,7477,6997,6305,5664,5428,5300,5687,6099,6833,7759,7284,7019,6456,5725,5378,5408,5472,6023,7545,7748,6890,6244,5612,4716,5208,3924,3669,3304,2849,2622,2540,2277,2080,1925,1794,1478,1482,1281,1204,1119,1036,905,936,854,766,650,639,595,560,488,385,379,379,325,305,283,320,296,295,225]
[311,416,438,525,477,659,639,717,814,1030,1014,1434,1497,1561,1865,2090,2768,3344,5067,6536,6474,6768,5988,4500,4123,4102,3913,4733,6009,6739,6826,6896,6173,5400,4987,5045,4797,4986,6074,6724,6975,6857,7486,5496,4989,5187,5104,5645,7014,7784,7460,6933,6327,5545,5391,5186,5335,5401,6674,7497,7396,7078,6183,5750,5394,5214,5130,5763,6721,7105,7310,6930,6435,5759,5269,5320,5154,5542,6394,7362,8852,6518,6273,5624,5259,5148,5192,5640,6807,7347,7122,6958,6246,5828,5463,5453,5633,5853,6530,7230,7134,6937,6354,5617,5359,5139,4995,5758,6797,7587,6911,6080,5410,4490,4328,3975,3476,3885,3060,2693,2399,2183,1995,1852,1674,1527,1431,1297,1248,1069,1022,1045,850,800,747,587,640,504,553,460,480,479,459,359,288,278,280,288,266,239]
[307,433,433,460,433,615,629,697,875,1016,982,1186,1384,1815,1831,2109,2327,2905,3787,4594,5488,5316,4905,4067,3975,3817,3931,3863,4711,5096,6186,5848,5404,4800,4852,4538,4521,4781,5190,5457,6070,6195,5699,5181,4872,4672,5640,5328,5838,6639,6686,6271,5668,5292,5030,5024,5185,5449,5705,6375,6472,5940,5822,5386,5171,5087,5068,5061,5644,6121,6395,6444,5451,5398,5111,5095,5048,5031,5538,5990,6325,6343,5651,6192,5026,4997,4950,5235,5560,6128,6378,6199,5719,5268,5223,5274,5300,5202,5711,6068,6296,6506,5581,5147,4923,5032,4718,5123,5964,6195,5935,5504,4910,4329,4137,3796,3443,3141,2995,2700,2879,2223,2002,1906,1639,1568,1410,1277,1169,1081,1091,962,859,787,726,699,690,571,565,546,481,428,393,294,317,300,342,294,294,276]
[349,355,404,458,419,480,584,728,872,907,1047,1376,1532,1720,1856,2157,2408,2757,3007,3700,4422,4139,3944,3598,3633,3772,3879,4030,4711,4725,5207,5134,4376,4652,4410,4419,4599,4557,4790,5098,5120,5455,4708,4846,4820,4731,4761,4917,6125,5512,5542,5478,5090,4987,5008,4873,4957,5007,5249,5357,5570,5500,5284,4948,5055,4888,4798,5072,5226,5407,5807,5611,5371,5299,5021,4892,4957,4949,5042,5661,5536,5520,5208,5115,4978,5949,5013,5317,5228,5572,5760,5515,5300,5217,5227,4835,4836,5131,5342,5661,5933,5595,5084,5152,4884,4764,4723,4725,4817,5231,4984,4977,4341,4246,3938,3658,3503,3535,3003,2577,2350,2287,2014,2328,1709,1618,1426,1325,1288,1217,1070,954,838,749,809,704,695,507,618,511,597,440,452,369,342,324,363,234,277,220]
[400,388,405,418,503,576,702,689,837,881,1011,1257,1463,1604,2092,2214,2524,2492,2769,3018,3564,3832,3368,3759,3815,3994,4014,4107,4180,4276,4586,4473,4150,4242,4393,4309,4594,4632,4769,4869,4957,4722,4629,4706,4832,4982,4968,4867,5131,5061,5355,6156,5024,5047,4860,5201,5073,5093,5167,5383,5487,5261,4895,4977,4946,5132,5084,5034,5249,5213,5278,5201,5126,5053,5198,5137,5023,5109,5096,5151,5330,5221,5199,5083,5257,5263,5010,5221,6116,5437,5540,5040,5038,5192,5092,5005,5036,5036,5121,5511,5459,5414,5092,5354,5067,4967,4920,4810,4885,5093,4756,4686,4320,4210,4036,3745,3442,3258,3078,2583,2538,2143,2056,1897,1588,1675,1721,1346,1285,1206,1090,928,860,794,848,676,694,622,632,577,463,436,434,324,373,388,295,271,262,221]
[322,454,431,440,434,500,542,655,787,911,982,1179,1323,1533,1721,2203,2459,2519,3212,3162,3610,3792,3588,3430,3663,4401,4191,4098,4203,4428,4541,4545,4249,4155,4349,4801,4791,4480,4467,4618,5087,4840,4573,4498,4799,4972,5110,4959,4982,5032,5155,5178,4977,4823,5024,6405,5069,5241,5139,5245,5449,5290,4834,4779,5075,5114,5217,5088,5030,5257,5274,5091,5060,4974,5225,5223,5239,4991,5001,5281,5302,5184,4978,4788,5238,5335,5125,5107,5159,5372,5469,5321,5957,4965,5041,5357,5244,5040,5260,5555,5344,5487,5178,5066,5176,5496,5238,4906,4662,4929,5007,4675,4517,4068,4050,3759,3416,3154,2919,2614,2225,2193,1923,1855,1820,1644,1475,1432,1240,1152,1355,1078,863,777,754,680,700,637,598,520,439,505,427,364,322,333,374,268,274,184]
[368,409,364,438,514,469,710,613,721,974,1089,1083,1419,1586,1760,2246,2599,2755,2715,3050,4429,3946,3573,3468,3816,4333,4277,4218,4139,4357,4633,4320,4401,4057,4303,4874,4886,4606,4548,4958,5136,4931,4776,4512,4651,4984,5165,4801,5082,5184,5362,5159,4763,4844,5168,5261,5060,5037,6155,5415,5484,5261,4995,4861,4970,5342,5035,5212,5141,5593,5618,5254,4926,4936,5193,5523,5228,4971,5291,5464,5497,5360,5017,4622,5223,5455,4947,4960,5256,5476,5501,5360,4936,4893,5405,6513,5096,4992,5322,5470,5595,5369,4986,5127,5307,5446,5099,4623,4675,5245,5042,4659,4316,4124,4273,3993,3607,3077,2891,2703,2525,2231,1921,1753,1703,1545,1377,1483,1245,1123,1194,997,1074,846,781,666,681,635,517,478,381,488,374,394,310,390,289,243,320,258]
[379,380,373,462,413,475,554,726,755,957,1058,1210,1351,1538,1694,2036,2469,2892,2902,3372,3721,3826,3785,4301,3654,4210,4134,4294,4355,4700,4987,4702,4530,4214,4400,4552,4750,4848,4705,5196,5310,5016,4766,4735,4872,4972,5113,5108,4926,5218,5566,5296,5040,5210,5073,5097,5179,5172,5206,5711,6690,5524,4934,4830,5087,5006,5324,5248,5276,5566,5838,5353,5092,5154,4899,5417,5167,5209,5344,5564,5832,5533,5268,5345,5212,5564,5346,4915,5174,5734,5603,5275,5117,5069,4953,5458,5268,5301,6536,5681,5723,5223,5148,5135,5245,5278,5067,5072,5237,5331,5350,4644,4357,4463,4302,4274,3568,3339,3072,2787,2456,2270,2148,1814,1689,1603,1457,1357,1238,1201,1085,959,843,843,810,861,735,613,547,527,527,445,403,355,326,333,337,261,301,287]
[337,365,390,541,530,563,621,712,767,992,1007,1145,1426,1484,1901,2155,2588,2733,3121,4028,4424,4753,4351,4138,3909,3963,4967,4204,4711,5186,5880,5407,4892,4544,4659,4690,4763,4821,5161,5464,6046,5606,5172,4906,4856,4731,5032,5094,5307,5623,5895,5870,5503,5135,5020,4873,5225,5254,5459,6002,6120,5769,5474,5365,6025,5160,5182,5285,5824,6271,6405,5976,5432,5214,4944,5020,5069,5142,5660,6240,6412,6121,5690,5249,5189,5188,5074,5405,5618,6054,6143,5973,5508,5313,5081,5214,5331,5418,5547,5984,6322,7432,5699,5241,5095,4973,5068,5102,5427,5928,6027,5482,5100,4530,4397,4208,3756,3038,2944,2859,2418,2274,2053,1851,1752,1638,1547,1318,1290,1104,997,1017,947,805,738,714,671,533,633,462,556,426,364,395,394,342,314,312,222,189]
[355,402,420,369,508,638,600,751,722,882,1022,1139,1341,1636,1919,2136,2446,3028,4148,5112,5684,6052,5400,4647,4303,4003,4143,4480,5200,7392,6565,6086,5497,5055,4754,4770,4836,5091,5546,6309,6619,6127,5768,5120,5088,5010,5077,5134,5703,6574,6686,6019,5834,5358,4959,4953,5225,5432,5959,6791,6831,6431,5900,5633,5185,5174,6436,5564,6348,7049,7130,6382,6153,5595,5292,5164,5333,5545,6388,6750,6984,7024,6360,5762,5309,5348,5269,5544,6145,7005,6921,6464,6211,5508,5348,5125,5324,5819,6314,6975,6958,6829,6312,5681,5889,5221,5388,5511,6450,7119,7011,6103,5590,4866,4286,4116,3726,3269,3126,2789,2546,2231,2054,1788,1706,1685,1488,1428,1346,1178,1049,1029,904,776,787,708,643,544,584,519,459,521,378,332,359,270,274,303,328,174]
[360,391,403,400,495,579,668,727,724,990,1019,1229,1259,1566,1957,2173,2533,3065,4295,5987,6600,7037,6566,5534,4598,4473,4433,4745,5352,6411,7063,6899,7503,5625,5045,5201,5028,5178,5858,6665,8310,7051,6345,5755,5271,5323,5312,5677,6190,7165,7159,7238,6735,5747,5383,5414,5422,5996,6784,7737,7532,7337,6434,5807,5443,5229,5543,5855,7079,7857,8783,7103,6370,5819,5396,5420,5431,5937,7117,7735,7649,7404,6629,6023,5708,5337,5555,5975,6919,7461,7470,7231,6284,5880,5345,5450,5605,6229,7157,7771,7774,7774,6718,5914,5500,5359,5595,7205,7330,7993,7316,6659,5860,4873,4642,4069,3746,3315,2959,2713,2583,2266,2059,1982,1851,1556,1636,1384,1264,1239,1089,896,897,753,756,605,613,606,533,411,452,436,363,329,315,372,338,228,250,223]
[378,432,421,510,573,656,696,784,954,1104,1234,1483,1704,1924,2239,2609,3353,4643,5801,6747,6498,6124,4924,4381,4320,4376,4693,5489,6685,6792,6798,6058,5148,5950,4860,5089,5209,5985,6976,6905,6746,6367,5363,4957,5189,5076,5601,6127,7038,7077,7118,6395,5533,5334,5245,5559,5880,6825,7773,7576,7002,6184,5528,5533,5449,5248,6095,7053,7271,7632,7196,6976,5557,5644,5419,5656,6029,7001,7663,7639,7119,6522,5712,5555,5449,5517,6038,6652,7697,7478,7160,6431,5666,5364,5232,5489,5940,7163,7665,7419,7740,6566,5901,5293,5210,5299,5569,6990,8261,7240,6275,5796,5040,4794,3692,3540,3205,2904,2710,2457,2277,2000,1858,1700,1613,1439,1379,1271,1076,1095,967,861,825,772,746,737,682,461,539,405,423,410,390,275,328,364,276,277,253,152]
[364,400,332,496,484,497,583,725,779,915,1075,1291,1378,1593,1886,2034,2305,2817,3221,4104,5101,5691,5232,4432,4152,4240,4133,4363,4790,5143,5936,5868,5577,4738,5746,4776,4539,4803,5296,5781,6202,6068,5440,5052,4936,4926,4954,5005,5423,6112,6405,6405,5875,5315,5167,5044,5271,5231,5725,6098,6543,6556,5850,5384,5147,5195,5150,5360,5624,6024,6183,7316,5683,5423,5196,4995,5218,5348,5730,6524,6492,6455,5918,5519,5403,5272,5421,5428,5887,6348,6246,6121,5882,5167,4884,4983,5058,5272,5942,6482,6845,6634,6032,5358,5089,4970,4899,4984,5737,7547,6254,6050,5009,4468,4159,3683,3487,3320,2898,2587,2430,2056,1978,1839,1745,1558,1470,1359,1242,1067,998,896,896,784,745,682,646,594,460,512,496,427,407,390,365,254,373,272,290,197]
[406,395,471,477,525,529,603,730,821,1002,970,1167,1374,1586,2028,2111,2235,2471,2877,3386,4341,4426,4260,3778,3747,3952,3856,3942,4062,4483,4932,4875,4422,4506,4589,4402,4590,5465,4632,4871,5217,4934,4914,4633,4743,4652,4618,4813,4941,5193,5442,5357,5312,4981,4916,4809,4950,4957,5296,5473,5638,5477,5210,5039,4695,5020,4932,4920,5191,5433,5841,5447,5060,4973,5831,4850,5119,5251,5242,5516,5770,5532,5600,5218,5041,5057,5041,5149,5159,5437,5537,5404,5160,4850,4779,4754,4768,5223,5128,5703,5838,5605,4999,4584,4915,4587,4500,4637,4862,5272,5247,4997,5211,4050,3882,3648,3516,3155,2947,2568,2291,2182,1907,1829,1724,1516,1383,1321,1194,1021,1103,913,907,686,718,678,592,521,532,499,479,366,391,405,299,334,306,245,178,245]
[328,437,373,486,543,560,615,675,771,870,990,1308,1532,1544,1741,2170,2376,2517,2776,3018,3668,3769,3661,3710,3985,4014,3985,4204,4300,4644,4506,4462,4377,4441,4427,4711,4761,4750,4631,4854,6101,4733,4640,4746,4793,4952,5016,4863,4962,5140,5274,4964,4564,4939,5059,4871,5050,4908,4996,5588,5419,5269,4990,5042,5035,5119,5182,5213,5201,5189,5418,5270,4891,5141,5070,5039,5118,5224,6442,5347,5396,5257,5001,5269,5183,5080,5076,4958,5165,5331,5369,5094,5174,4999,5012,4913,5055,4899,5370,5191,5254,5160,5157,5100,4645,4676,4570,4629,4720,5019,5019,4371,4480,4193,4001,4528,3509,3187,2839,2567,2357,2094,1963,1774,1637,1600,1483,1395,1224,1038,1102,878,881,768,740,659,560,533,496,527,486,425,340,373,371,293,250,308,235,199]
[340,395,356,523,481,575,734,743,782,815,938,1262,1307,1576,1942,2251,2489,2647,2789,2963,3515,3755,3455,3690,3953,4331,4465,4333,4210,4547,4919,4551,4222,4314,4453,4835,4997,4625,4771,5064,5256,4876,4716,5678,4899,4965,5097,4925,5074,5100,5310,4895,4840,4850,5019,5324,5305,5095,5286,5543,5572,5383,4779,5229,5140,5299,5415,5127,5135,5478,5371,5259,5083,5117,5539,5349,5291,4938,5201,5351,6714,5227,5173,4997,5315,5338,5128,5010,5163,5191,5169,5285,4867,5033,4908,5113,4876,4957,5023,5248,5250,4919,5065,4858,5217,4945,4787,4636,4580,4751,4826,4706,4110,4058,3989,3797,3373,3188,3329,2545,2396,2044,1957,1773,1578,1538,1456,1327,1149,1121,1008,956,898,671,849,638,665,617,509,455,368,377,355,327,330,215,321,294,179,210]
[338,406,466,522,574,514,641,674,734,1043,923,1261,1386,1635,1939,2150,2483,2630,2702,3229,3438,3623,3431,3496,3737,4371,4335,4275,4310,4465,4569,4414,4373,4300,4488,4850,4969,4724,4803,5080,5110,4868,4514,4392,4775,5171,6159,4748,4753,5172,5296,5002,4901,4799,5117,5236,5082,5003,5168,5375,5277,5326,4836,4882,5003,5302,5328,5068,5036,5477,5303,5182,4977,4799,5237,5263,5203,4978,5284,5176,5418,5331,4947,5798,5182,5255,5118,5100,4964,5287,5248,5235,4738,4964,5014,5419,5121,4831,4820,5104,5087,4934,4820,4809,5112,4976,4629,4469,4538,4982,4913,4332,3919,4122,4130,4008,3365,3148,2809,2446,2472,2589,2031,1744,1603,1539,1382,1309,1213,1130,1033,812,866,840,790,702,583,570,534,506,414,365,370,315,349,245,203,277,264,266]
[336,470,448,447,416,612,561,669,836,919,1037,1435,1415,1526,1813,2207,2370,2749,3122,3352,3415,3816,3625,3425,3849,4113,4255,4493,4457,4981,4974,4751,4380,4390,4571,4862,5051,5030,4831,5149,5301,5051,4772,4587,4686,4830,5228,5179,5100,6442,5606,5291,4916,4750,5045,5012,5035,5128,5299,5646,5635,5459,5067,4975,5053,5015,5265,5242,5394,5616,5710,5501,5226,4923,5092,5366,5393,5146,5490,5700,5727,5438,4933,5198,5413,5218,6329,5171,5450,5880,5714,5370,5055,4869,5301,5452,4875,5119,4924,5452,5376,5302,4929,4892,4923,5012,4891,4592,4596,5070,5131,4686,4314,4139,4156,4088,3486,3287,2903,2691,2264,2153,2094,2139,1751,1674,1479,1336,1181,1049,1026,970,886,808,702,682,670,650,457,533,401,456,391,405,303,338,284,272,204,227]
[434,412,457,454,518,584,616,644,750,981,1024,1227,1389,1592,2223,2227,2500,2960,3425,3869,4108,4163,3893,3768,3879,4090,4202,4326,4922,5392,5496,5377,5113,4673,4737,4716,4817,5137,5403,5873,5894,5765,5135,4845,4869,5047,4998,5190,5250,6042,6058,6183,6358,5090,4881,5024,5053,5177,5431,6167,6091,5627,5296,5149,5062,5253,5153,5269,5520,6140,6259,5942,5373,4873,5136,5219,5102,5404,5501,5929,6237,5838,5292,5136,5106,5460,5301,5344,5484,7142,6347,5888,5289,5075,5309,5182,4856,5080,5348,5792,5817,5529,5426,4962,4915,4795,4678,4929,4986,5464,5397,5134,4527,4216,4256,3930,3655,3225,2978,2598,2395,2261,1945,1841,1720,1505,1734,1319,1231,1014,1054,916,763,820,669,698,591,564,561,395,499,385,354,289,323,360,260,302,281,270]
[315,372,401,469,506,664,597,733,800,964,1067,1130,1394,1676,1890,2236,2644,3679,4187,4906,5125,5370,5071,4407,4190,4254,4347,4813,5738,6467,6340,6133,5924,5115,5086,4955,5200,5169,5816,6569,6804,6636,6054,5540,5075,5033,5064,5328,5840,7159,6778,6690,6033,5718,5183,6146,5140,5455,6018,6834,6486,6474,5839,5453,5132,5361,5188,5569,6502,7403,6918,6670,5985,5635,5285,5228,5452,5670,6600,6988,6880,6708,6315,5649,5478,5060,5459,5565,6019,7020,7119,6622,7147,5434,5230,5144,4968,5360,5922,6450,6782,6165,5877,5073,4849,4947,4940,4975,5698,6414,5951,5426,4736,4316,4313,3946,3595,3042,3030,2701,2446,2289,2164,1778,1803,1583,1479,1462,1296,1357,1057,979,823,755,644,632,664,660,502,487,468,488,358,390,314,292,279,293,289,199]
[335,372,453,457,477,528,640,675,772,1004,1115,1072,1334,1765,1948,2195,2588,3240,4367,5867,7704,6846,6481,5029,4547,4387,4506,4984,6493,7773,7375,6939,6575,5584,5107,5172,5237,5499,6921,8113,7861,6969,6487,5910,5382,5192,5554,5470,6816,7952,7931,7343,6349,6057,5589,5381,5484,6766,6728,7767,7393,6899,6086,5673,5348,5296,5512,5788,7463,8175,7639,7229,6398,5796,5347,5209,5474,6233,7423,8041,7732,7330,6707,6038,5496,5398,5664,5854,6822,7861,7680,7593,6908,5919,5401,5328,6519,5821,6707,7489,7646,7182,6291,5508,5076,4969,4931,5226,6343,7509,6813,6207,5197,4618,4155,3868,3499,3217,2970,2782,2470,2324,2067,1954,1800,1493,1388,1288,1212,1131,1097,831,861,906,652,732,649,632,468,431,400,415,351,378,292,272,311,263,257,287]
[269,377,366,412,437,479,601,699,818,967,1033,1163,1496,1604,1813,2164,2604,3141,4150,5696,6633,6643,6270,4890,5049,4589,4402,5091,6302,7824,7610,7042,6335,5491,5117,5153,5264,5628,6833,7544,7497,6867,6495,5688,5224,4890,5224,5650,6692,7401,7514,7040,6673,5862,5310,5180,5189,5517,6659,7257,7477,8271,6343,5786,5174,5322,5297,6231,7369,7595,7655,7117,6294,5594,5419,5337,5463,6103,6905,7653,7717,7272,6474,5985,5570,5422,5488,6135,7100,7991,7637,7011,6672,5808,5226,5384,5458,5761,6456,8912,7629,6935,6170,5396,4918,4774,5014,5233,5955,6656,6880,6164,5078,4384,4211,3887,3588,3221,2952,2620,2458,2254,1949,1837,1729,1578,1395,1245,1168,1125,1094,874,784,741,694,609,749,560,508,390,409,430,386,294,364,254,289,246,228,227]
[378,369,398,453,474,642,542,736,838,915,1025,1219,1399,1565,1769,2133,2416,2577,3311,4086,5161,5603,5061,4278,3874,4067,4083,5163,5163,6035,6198,6245,5741,4978,4772,4759,4896,4936,5699,6424,6383,6301,5766,5249,5038,4501,5025,4818,5738,6197,6546,6361,5983,5152,4963,4768,4836,5178,5639,6276,6531,6385,5956,5415,6008,5071,4999,5442,6205,6506,6807,6790,5816,5477,5168,5061,5219,5310,5875,6610,6841,6772,6040,5488,5022,4826,5197,5351,6024,6517,6628,6463,6091,5195,4949,5017,4917,5102,5680,6180,6536,6443,6897,4743,4814,4500,4436,4888,5403,5577,5598,5547,4831,4080,3871,3859,3570,3251,2862,2576,2333,2232,1902,1763,1509,1507,1504,1372,1178,1042,1026,929,881,729,640,578,599,522,462,572,504,407,336,338,294,292,294,261,261,152]
[364,318,393,471,493,598,567,724,786,911,1189,1176,1501,1557,1918,2101,2347,2456,2852,3399,3978,4356,3959,3818,3587,3567,3860,4175,4330,4880,5951,5257,4914,4554,4523,4627,4511,4794,4907,5167,5576,5445,5021,4794,4852,4658,4593,4881,5029,5207,5578,5371,5147,4913,4764,4630,5040,5318,5221,5357,5714,5422,5185,4724,4836,4867,4965,6162,5473,5867,5930,5760,5186,4984,5160,4758,4944,5066,5383,5668,5927,5687,5292,4940,5050,4715,4911,5022,5201,5768,5757,5839,5159,4857,4901,4739,4713,4864,5076,5330,5637,5370,4871,4736,5319,4376,4408,4483,4682,5090,5113,4559,4116,3998,3754,3744,3331,3037,2861,2484,2233,2048,1834,1850,1566,1512,1341,1174,1163,895,1081,888,878,786,755,605,552,564,550,445,438,356,364,301,314,218,290,287,222,245]
[343,371,424,415,497,516,593,672,714,905,1030,1231,1434,1660,1788,2322,2394,2549,2647,3308,3488,3784,3630,3687,3802,4026,3899,4170,4326,4428,4538,4713,4499,5264,4537,4611,4693,4695,4701,5053,5038,5194,4664,4801,4983,4683,4888,4786,4932,5153,5220,5145,4757,4847,4679,4978,4884,5138,4997,5244,5215,5429,4866,4967,4869,4993,5173,5095,5325,5299,6366,5075,4935,4926,4939,5131,5018,4926,5015,5421,5362,5316,4975,4786,4948,4887,4900,5078,5053,5258,5540,5182,4980,5170,4773,4838,4920,4707,4793,5122,5131,4706,4709,4753,4637,4521,4356,4499,5386,4669,4379,4277,4153,4159,3798,3694,3340,3041,2813,2550,2217,2103,1990,1791,1546,1493,1428,1392,1214,1061,1028,929,888,754,725,684,625,514,552,569,465,416,339,338,353,280,289,299,236,193]
[309,333,458,482,554,601,583,663,759,870,933,1212,1481,1582,1847,2151,2411,2542,2693,3126,3355,3638,3555,3504,3916,4163,4371,4356,4233,4283,4440,4464,4209,4229,4220,4751,5866,4589,4713,5201,5246,4862,4514,4565,4906,4972,4882,4881,5004,5083,5128,5035,4828,4720,4993,5066,5151,5163,5188,5153,5323,5200,4822,4914,4902,5280,5276,4900,4983,5390,5607,5434,5008,5979,4985,5234,5073,5062,5051,5497,5357,5276,5014,5053,5276,5271,5169,4853,5055,5277,5156,5195,4924,4827,5128,5116,4806,4794,4944,5017,5024,5270,4779,4795,4804,4713,4602,4453,4469,4769,4500,5033,4176,4082,3940,3657,3393,3058,2878,2612,2346,1955,1911,1714,1712,1492,1322,1350,1246,1124,994,898,755,731,756,603,621,631,537,417,488,338,428,403,348,232,329,260,241,188]
[240,419,531,423,512,511,646,635,796,891,1004,1258,1282,1636,1919,2280,2505,2700,2838,3117,3652,3836,3584,3250,3752,4229,4256,4154,4088,4380,4476,4392,4254,4150,4320,4847,4861,4631,4601,5851,5331,4816,4590,4482,4828,4833,4810,4919,4991,4856,5219,4778,4877,4434,4675,4970,5037,4810,4964,5188,5172,4938,4885,4874,4769,5163,5136,5010,5040,5172,5426,4939,4858,4792,5135,5098,5011,5769,4923,5293,5258,5107,5029,4810,5183,5239,5105,4616,5064,5154,5312,5087,5009,4641,4886,5033,4811,4793,4800,5039,4899,4882,4823,4563,4843,4832,4404,4437,4455,4597,4548,4365,3975,3998,4605,3656,3252,3026,2691,2519,2143,1998,1641,1696,1562,1497,1377,1200,1196,1011,1035,864,809,699,710,706,696,526,554,482,467,352,402,330,279,306,301,206,253,168]
[411,485,414,647,526,606,736,799,944,1090,1231,1516,1578,1975,2377,2669,2952,3187,3453,4031,3834,3509,3624,3832,4182,4099,4023,4358,4788,4746,4110,4863,4139,4554,4992,4794,4757,4878,5218,5077,5828,4839,4531,4868,5088,4815,4956,5198,5241,5111,4859,4772,4948,5157,5224,5075,5091,5329,5511,5669,4865,4979,4802,5026,5170,5137,5175,5312,5464,5447,4952,5014,4861,5033,5076,5172,5178,6599,5644,5441,5069,4967,4858,5310,5089,4985,5045,5636,5613,5316,5346,4936,5136,5199,4953,5187,5154,5315,5574,5002,4915,4590,4688,4751,4778,4627,4705,4640,4884,4459,4260,4020,4100,4067,4336,3113,2799,2687,2351,2240,1936,1768,1710,1481,1427,1362,1170,1076,1109,1021,848,789,655,653,484,563,502,513,389,410,448,282,399,313,309,239,227,198,192,197]
[360,446,474,678,662,780,787,917,1153,1226,1418,1680,1895,2248,2763,3176,3466,4288,4336,4475,4038,3663,3640,4001,3958,4205,4546,4958,5207,4826,4456,4338,4305,4676,4589,4685,5115,5436,5822,5557,6066,4781,4593,4923,4874,5026,5187,5665,5737,5631,5220,4752,4680,4792,4964,5101,5189,5719,5919,5691,5093,4862,4851,5153,5000,4858,5379,5845,5794,5754,5252,5126,5096,5120,5143,5081,5255,7074,5972,5433,5111,5018,5060,4909,4918,4906,5331,6083,6069,5626,5131,4982,4829,4880,4836,4955,5036,5656,5784,5464,5176,4818,4675,4636,4541,4501,4967,5374,5412,4892,4423,4212,4176,3823,3393,3718,2775,2472,2219,2075,2045,1708,1633,1459,1339,1230,1118,1091,926,894,904,717,644,628,658,628,532,454,444,381,332,324,339,286,244,282,219,169,237,148]
[457,383,328,506,524,469,756,609,836,951,1106,1146,1549,1660,1835,2387,2654,3437,4618,5330,5770,5586,5229,4357,3941,4074,3999,4417,5267,5820,5778,5799,4908,4627,4603,4468,4686,4983,5698,6781,6853,6446,5823,6081,4720,4765,5084,5042,6152,7005,6805,6109,5931,5035,4822,4862,4939,5156,6227,6662,6529,6185,5902,5243,4836,4911,5114,5440,6119,6825,6798,6563,5805,5162,4815,4852,5182,5413,6349,7061,8347,6302,5822,5158,4914,4942,5120,5248,6337,6736,6676,6507,5904,5182,4915,5016,4757,5284,6034,6468,6580,6170,5708,5033,4775,4766,4743,5038,6235,6696,6266,5714,4926,4360,3904,3747,3419,2901,3197,2490,2307,1996,1890,1673,1586,1415,1393,1267,1032,897,993,848,765,703,653,648,551,477,419,434,376,415,310,307,315,232,232,197,201,205]
[318,399,441,444,436,579,604,796,1056,1015,1175,1273,1461,1688,1946,2392,2892,4077,6075,6870,6919,6970,6161,4554,4263,3970,4118,4922,6146,6992,7052,6521,5565,5065,4735,4533,4604,5670,7046,7940,7473,7317,5938,5342,4848,5809,5196,6183,7627,8240,7474,7180,6144,5255,4848,4860,5530,6223,7737,7577,7200,7200,6355,5199,5444,5119,5335,6210,7355,7738,7647,7286,6530,5390,5352,5136,5154,6342,7894,8338,7789,7305,6448,6566,5024,5059,5274,6028,7478,8152,7606,7110,6298,5332,5174,5180,5283,6162,7426,8046,7494,7074,5818,5235,5020,4989,4905,6012,7579,7948,6989,6418,5342,4505,4014,3820,3383,2962,2658,2489,2690,2018,1906,1733,1607,1466,1255,1275,1074,963,876,887,724,635,610,572,529,458,392,362,390,425,311,298,243,243,235,174,194,200]
[335,424,368,542,540,590,631,652,806,847,994,1466,1472,1631,1935,2136,2805,3632,5561,7020,6864,6890,5930,4535,4276,4262,4114,4768,5736,7256,7115,6498,6103,4957,4772,4723,4812,5542,6604,7379,7897,6919,6451,5257,4980,4773,5021,5437,8508,7808,7729,7400,6210,5131,4789,4983,5026,5651,7084,7600,7491,7047,6173,5404,5026,4942,5418,5591,7199,7859,7843,7057,6289,5468,4984,4809,5050,5804,7314,8197,7705,7185,6333,5417,5063,5897,5003,5923,7043,7551,7294,6980,6170,5350,4879,4850,5097,5880,7241,7992,7349,6877,5891,5030,4473,4736,4607,5541,7403,8072,7554,6544,5336,4419,3835,3516,3258,2955,2700,2488,2160,1991,2179,1558,1549,1372,1170,1079,1133,935,850,843,755,549,622,601,538,444,402,414,411,321,272,366,299,222,197,201,210,222]
[352,384,443,411,546,573,617,593,820,814,973,1145,1372,1803,1860,2168,2355,2919,4128,5004,5644,5697,4894,3958,3722,3745,3782,4116,4578,5327,5627,5622,4993,4638,4139,4189,4616,4504,5284,6220,6447,6433,5461,4871,4680,4649,4667,4861,5538,6238,6408,7622,5774,4749,4679,4473,4944,5202,5952,6161,6562,6597,5700,4875,4899,4720,4801,5212,5811,6424,6704,6134,5858,5091,4746,4819,4856,4906,5792,6411,6347,6595,5851,5243,4538,4400,4737,4931,6373,6357,6547,6560,5787,5011,4697,4626,4577,4946,5640,6149,6598,6278,5156,4694,4413,4306,4313,4671,5962,6321,6470,6003,4687,4267,3681,3324,3162,2893,2566,2460,2230,1894,1738,1573,1575,1523,1308,1060,962,932,920,876,812,765,662,678,516,494,399,390,371,278,341,305,219,238,206,199,177,144]
[280,466,394,469,483,464,656,723,824,792,1089,1168,1330,1674,1826,2029,2193,2638,3019,3513,5570,4503,4111,3554,3443,3572,3742,3579,4239,4690,4993,4752,4451,3996,4094,4053,4114,4388,4585,5302,5543,5100,4739,4534,4476,4451,4519,4532,4918,5417,5624,5385,4916,4641,4545,4544,4631,5698,5092,5563,5809,5573,4959,4781,4637,4614,4605,4714,5306,5642,5756,5332,4870,4681,4734,4414,4653,4778,5058,5309,5785,5581,4922,4630,4551,4370,4573,4822,4915,5509,5589,5538,5068,4610,5446,4581,4684,4789,4957,5519,5581,5135,4585,4437,4450,4118,4007,4259,4778,5387,5227,4769,4134,3697,3688,3258,3305,2785,2591,2329,2105,1866,1780,1577,1396,1341,1217,1199,1039,940,870,889,875,663,638,625,483,496,481,362,382,269,280,337,243,235,210,180,227,204]
[373,411,423,406,443,521,562,693,721,880,1009,1119,1434,1601,1927,2090,2305,2518,2770,3224,3678,3551,3396,3495,3580,3627,3627,3865,3955,4384,4397,4196,3806,4128,4068,4317,4382,4308,5505,4753,4686,4513,4441,4564,4638,4686,4424,4630,4921,5140,4961,4849,4428,4557,4705,4759,4715,4785,4997,5208,5123,4976,4762,4598,4740,4819,4683,4597,5148,5291,4990,4688,4855,4778,4639,4635,5595,4737,4971,5107,5057,4417,4458,4576,4420,4582,4484,4667,4880,5181,5097,4954,4776,4746,4520,4538,4602,4713,4735,4977,4887,4623,4560,4505,4298,4356,4098,4183,4493,4695,4434,4067,3915,4459,3447,3366,3085,2771,2596,2092,1876,1609,1526,1610,1401,1193,1128,1167,1061,948,825,753,759,706,694,626,493,516,451,466,356,309,316,293,307,221,252,186,195,171]
[324,399,357,404,502,529,548,663,1030,940,975,1295,1271,1662,1812,2045,2290,2522,2811,3128,3276,3345,3343,3429,3691,3885,3837,3799,4025,4226,4284,4049,3917,3900,4206,4522,4204,4377,4410,4642,4801,4445,4306,4114,4524,5656,4891,4543,4973,4893,4870,4627,4484,4464,4881,5007,4712,4731,4709,5177,5070,4831,4638,4606,4907,4855,4762,4486,4977,4905,5000,5321,4619,4492,4825,4665,4623,4576,4667,4831,4962,4745,4446,5407,4613,4689,4726,4650,4686,4905,5016,4880,4696,4730,4776,5655,4393,4570,4661,4773,4693,4483,4306,4289,4443,4506,4129,4209,4391,4602,4280,3761,3665,3600,3393,3196,2978,2758,2341,2080,1792,1693,1559,1400,1277,1144,1169,1007,1076,865,852,782,768,676,559,452,474,503,483,443,322,382,290,221,225,224,227,222,151,194]
[292,383,337,392,439,438,601,705,775,946,1056,1102,1366,1664,1829,2209,2354,2441,2688,3053,3531,3623,3652,3216,3766,4151,4054,3768,4004,4204,4284,4194,3960,3811,4129,4502,4171,4248,4446,4712,4490,4497,4402,4223,4510,4880,4680,4429,4659,4899,5178,4811,4570,4406,4471,4832,4662,4708,4695,5026,6203,4671,4591,4337,4819,5005,4699,4589,4855,4985,5069,4741,4464,4420,4656,4807,4545,4542,4721,4887,4907,4457,4198,4410,4631,5156,4415,4313,4775,4813,4922,4895,4587,4528,4723,4781,4629,5253,4574,4794,4651,4604,4330,4404,4511,4487,4123,4179,4213,4608,4314,3803,3669,3692,3575,3343,3058,2688,2399,2119,2049,1700,1550,1407,1347,1178,1163,1004,1004,975,837,799,615,704,710,506,501,445,435,401,343,373,330,246,215,188,202,208,172,152]
[395,387,385,396,488,586,520,681,778,871,928,1093,1241,1552,1691,2199,2409,2586,2742,3204,3445,3567,3248,3067,3291,4460,4018,3974,3980,4519,4690,4322,3747,3901,4001,4286,4333,4270,4455,4575,4684,4400,4279,4171,4297,4501,4355,4577,4834,4875,5096,4771,4521,4602,4417,4509,4833,4634,4837,5148,5221,4931,5521,4493,4724,4798,4717,4633,4730,5197,4904,4636,4605,4597,4609,4737,4599,4507,4645,4890,5016,4907,4451,4501,4480,4653,4511,4331,4639,4945,5161,4873,4570,4361,4367,4723,4488,4480,4627,6015,4829,4793,4725,4307,4674,4386,4157,4175,4442,4656,4593,4246,3755,3783,3636,3434,2919,2720,2485,2087,2163,1732,1623,1424,1475,1232,1207,1074,1029,978,919,852,683,696,604,583,521,494,354,367,354,309,351,225,203,258,210,150,193,155]
[306,402,329,398,499,514,539,562,691,800,895,1052,1290,1483,1689,1893,2345,2699,2926,3594,3901,3960,3505,3192,3274,3511,3729,3994,5240,4702,5305,4415,4330,3881,3778,4173,4234,4250,4352,4858,4879,4853,4407,4166,4281,4373,4364,4312,4886,5292,5321,5089,4837,4284,4497,4457,4541,4741,4970,5686,5669,5479,5096,4672,4425,5592,4763,4556,5049,5283,5277,5029,4639,4195,4485,4568,4476,4491,4841,5276,5449,4935,4710,4277,4494,4389,4402,4541,4939,5227,5295,5243,4801,4423,4476,4452,4533,4476,4951,5328,5458,4998,4472,5127,4418,4260,4244,3896,4672,5107,4749,4488,3859,3665,3681,3462,3152,2649,2429,2269,1991,1763,1627,1462,1385,1228,1078,927,978,917,825,793,682,632,591,501,507,380,370,448,401,298,338,261,252,241,206,107,158,163]
[307,354,359,388,434,530,604,675,808,895,989,1154,1312,1461,1825,1984,2395,2921,4999,5247,5312,5396,4581,3614,3436,3651,3712,4502,5874,6633,6541,6090,5277,4492,4113,3937,4165,4375,5079,5487,5615,5435,5033,4563,4182,4338,4426,4557,5521,6335,6074,5452,5143,4513,4343,5428,4839,4994,5985,6656,6237,5668,5173,4647,4471,4513,4779,5059,5813,6138,5818,5611,5125,4695,4352,4188,4517,4735,5581,6121,5973,5792,5306,4569,4191,4241,4264,4594,5611,6108,6120,5833,5419,5610,4278,4420,4673,4890,5768,6555,6245,5723,5207,4446,4321,4326,4311,4542,5610,5926,5960,5308,4516,3753,3584,3331,2993,2528,2297,2190,1876,1818,1542,1413,1358,1202,1156,1082,953,936,869,638,622,645,621,493,452,394,424,375,313,349,322,246,205,215,183,154,158,98]
[401,430,367,366,452,458,460,529,709,816,913,1155,1200,1483,1789,2159,2453,3183,4979,6626,6744,8428,5734,4144,3695,3731,4061,5070,6779,7538,7500,7411,6510,5091,4183,4185,4218,4635,5744,6672,6568,5931,5291,4612,4325,4255,4584,5132,6760,8034,7370,6686,5971,4680,4477,4473,4791,5466,8771,7894,7524,6822,5663,4848,4726,4642,4701,5548,6807,7415,7043,6223,5367,4741,4430,4382,4674,5389,6851,7538,7176,6717,5950,4716,4394,4216,4574,5420,6448,7562,7242,6823,5913,4729,4456,5255,4541,5322,6466,7576,7220,6609,5517,4629,4392,4431,4438,5372,6837,7546,7035,6390,5158,3987,3596,3335,2913,2546,2465,2084,1870,1726,1674,1442,1351,1156,1128,1030,892,846,863,783,689,712,538,441,401,359,402,363,334,236,263,253,217,179,226,209,90,94]
[369,419,412,319,465,483,571,674,716,874,878,1021,1250,1518,1632,1975,2219,2954,4871,6599,7176,7059,5780,5013,3627,3768,3959,4941,6791,7644,7404,7085,6227,4794,4093,4142,4062,4507,5473,6268,6430,6158,5339,4419,4408,4359,4208,5040,6650,7519,7516,6599,5776,4662,4417,4318,4564,4849,6307,7732,9025,6587,5816,4868,4519,4378,4544,4910,6404,7336,7109,6392,5309,4410,4208,4106,4436,5319,6763,7686,7177,6637,5866,4748,4284,4251,4385,5198,6616,7667,7150,6840,5716,4651,4414,4328,4275,5198,7852,7396,7236,6351,5293,4544,4065,4226,4204,5022,6497,7779,6880,6004,4856,3938,3452,3149,2823,2625,2527,2165,1966,1765,1458,1245,1233,1169,1068,1005,880,843,809,673,552,602,635,515,401,408,367,279,290,252,277,262,207,192,137,232,94,90]
[301,348,337,442,444,539,570,543,614,731,881,1038,1084,1431,1578,1844,1963,2500,3543,4420,5222,5481,4632,3391,3344,3270,4139,3770,4841,5333,5997,5563,5106,4298,3883,3667,3705,3909,4363,4920,5220,5092,4517,4064,3955,4182,3993,4285,4797,5837,5943,5961,4947,4451,4110,4123,4292,4557,4916,5933,6201,6004,5190,5263,4266,4027,4136,4310,5125,5692,5677,5617,4784,4151,4046,3977,3975,4089,5220,5942,6309,5809,4967,4180,4019,3841,3994,4435,4971,5783,5953,5695,5106,4135,3968,3921,4086,4246,4740,5529,5873,6485,4620,4025,3905,3670,3730,3908,4715,5354,5541,5153,4132,3436,3249,2920,2542,2427,2238,1942,1635,1459,1309,1345,1170,1069,1062,844,883,796,713,674,588,583,435,535,471,385,497,252,267,223,254,274,181,169,203,159,80,78]
[289,429,435,429,553,578,548,651,828,899,944,1179,1350,1599,1918,2064,2510,2746,3598,3928,3976,3206,2955,3120,3323,3286,4143,4078,4779,5038,4281,3809,3608,3566,3813,3551,3896,4022,4340,4648,4029,3725,3872,3998,3788,3958,3857,4750,5012,4725,4706,4171,3948,4063,3948,3881,4013,4236,5017,5149,4891,4227,3900,4745,3928,3992,4278,4444,4643,4753,4463,4086,3748,4020,3899,4028,4038,4386,4969,4728,4698,4028,3818,3905,3792,3742,4048,4661,4804,5117,4611,4006,3954,4034,3788,3734,3917,4388,4830,5207,4380,4685,3446,3753,3669,3545,3728,4450,4648,4336,3824,3463,3310,3204,2816,2718,2291,2072,1737,1529,1358,1193,1134,1146,1063,898,813,705,735,732,670,585,457,430,382,366,323,417,311,261,294,216,192,193,201,183,84,96,64,74]
[279,322,304,409,424,482,535,569,622,667,865,866,1085,1390,1406,1845,1941,2307,2383,2903,3246,3210,3132,2893,3049,3308,3502,3204,4197,3711,3861,3843,3574,3466,3561,3737,3675,3734,3710,3915,4012,3818,3724,3697,3725,3934,3874,3892,4055,4366,4598,4292,3821,3996,3890,3943,4118,4019,4145,4413,4644,4529,4124,4010,3899,4887,3969,3963,4098,4545,4431,4282,4040,3836,3923,3990,3932,3658,3966,4368,4327,4151,3760,3684,3910,3854,3780,3756,3995,4103,4324,3932,3921,3838,3926,4082,3821,3682,3822,3942,4206,4217,3681,4400,3792,3889,3693,3599,3747,4093,3945,3526,3469,3298,3094,2892,2629,2301,2081,1883,1604,1419,1292,1167,985,1014,970,874,659,721,601,642,481,563,469,443,423,424,318,305,352,270,275,245,154,140,135,219,152,66]
[251,342,367,363,422,446,469,570,621,649,659,866,1035,1171,1483,1611,1931,2093,2371,2720,3044,3104,2768,3069,3166,3522,3660,3468,3420,3545,3826,4273,3462,3308,3465,3845,3757,3772,3747,3753,3897,3792,3697,3502,3524,4109,3850,3884,3929,4113,4271,4043,4133,3668,3785,4250,4095,3846,3858,4160,4388,4149,4090,3947,3903,4097,4251,3854,4504,4264,4234,4179,3917,3647,3569,4135,3955,3875,4008,4100,4388,4260,3770,3714,3787,3928,3857,3661,4007,4136,4355,4246,3696,3755,4069,4088,3962,3492,3655,3870,4232,4027,3584,3769,3671,3878,4424,3630,3580,3780,3935,3645,3297,2969,3076,3058,2627,2152,1976,1911,1627,1391,1222,1178,904,977,877,856,771,658,683,616,537,450,499,423,387,362,333,279,234,286,186,265,197,202,123,74,86,88]
[331,345,380,358,396,384,459,561,592,654,722,799,911,1098,1383,1668,1922,2038,2476,2802,3321,3356,3054,2673,3040,3556,3532,3546,3356,3520,3986,3781,3541,3164,4053,3826,3716,3431,3570,3625,3973,4077,3462,3204,3536,3943,4056,3828,3889,4190,4268,4119,3958,3633,3920,3975,4061,3899,4268,3979,4238,4440,3914,3941,3871,4035,4033,3787,3705,3917,4297,5128,3894,3625,3609,4190,3858,3841,3719,4177,4307,4146,4151,3659,3721,4023,4039,3697,3988,4091,4312,4309,3825,3641,4000,3807,3683,3739,3877,4020,4219,3954,3676,3490,3758,3921,3712,3694,4453,3915,3940,3672,3216,3062,3030,2712,2296,2058,1978,1770,1517,1276,1203,957,1041,934,806,644,750,718,640,572,506,518,395,413,452,301,304,346,225,298,265,244,176,219,170,188,86,70]
[270,313,320,340,397,400,475,531,572,651,707,865,984,1094,1368,1632,2052,2375,2632,2987,3306,3376,2993,2734,3012,3133,3054,3239,3371,3665,4052,3756,3296,3130,3053,3256,3343,4066,3531,3942,4102,3750,3463,3264,3346,3656,3438,3535,3841,4114,4356,4102,3644,3433,3566,3721,3739,3752,4081,4153,4792,4128,3799,3762,3726,3858,3556,3743,3864,4231,4429,4173,3689,3471,4335,3640,3520,3576,3958,4251,4236,4134,3580,3438,3875,3687,3569,3512,3672,4327,4408,4173,3713,3478,3532,3809,3581,3628,3770,3848,4171,3898,3759,3431,3345,3602,3462,3373,3719,4117,4250,4634,3444,3520,3262,2932,2470,2165,1795,1729,1517,1341,1168,1159,900,844,796,674,643,610,595,576,466,463,394,373,354,309,352,314,290,286,242,241,152,198,185,213,98,78]
[289,318,299,295,316,426,464,462,557,605,722,746,948,966,1282,1537,1908,2297,2945,3988,4372,4165,3482,2752,2809,2998,3036,3126,3542,4097,4709,4445,3821,3198,3063,3026,3103,3497,3661,4280,5593,4427,3858,3297,3197,3307,3346,3379,3978,4473,4797,4533,3924,3602,3616,3548,3551,3571,4161,4677,5049,4653,4038,3604,3751,3794,3708,3608,3815,4315,4770,4239,3801,3531,3334,3445,3541,4016,3879,4302,4348,4169,3638,3457,3406,3537,3480,3440,4100,4687,4968,4631,3933,3455,3474,3396,3320,3465,3762,4401,4714,4157,4373,3321,3193,3347,3490,3350,3861,4832,4952,4077,3514,3358,3164,2735,2458,2027,1909,1706,1374,1309,1085,959,977,771,808,681,666,703,481,468,431,434,449,352,318,396,283,255,248,320,239,225,167,211,196,84,82,58]
[279,304,257,319,330,348,324,459,477,603,601,678,716,972,1141,1400,1773,2243,3568,5274,7399,5815,5046,3466,3041,3016,3046,3411,4452,5350,5825,5418,4256,3694,3190,3285,3370,3661,4441,5414,5613,5258,4637,3697,3320,3462,3413,3505,4453,5719,6013,5388,4939,3845,3664,3653,3454,4843,5124,6304,6510,6242,5156,4086,3707,3803,3503,3928,4917,6154,6178,5817,5120,3853,3690,3596,3657,3731,4698,5965,6137,5352,4969,3964,3503,3387,3686,3613,5021,6642,6415,6240,5332,4024,3439,4041,3529,3897,4715,5762,5795,5434,4301,3362,3263,3328,3424,3772,4997,5822,5826,5293,4163,3221,2877,2762,2303,2038,1841,1418,1391,1199,1089,957,891,758,787,685,626,596,569,497,505,438,352,374,307,265,295,225,202,191,182,255,193,98,171,68,64,80]
[259,241,307,261,285,422,291,421,482,633,536,747,760,867,1149,1333,1709,2205,4162,6876,7851,7363,6649,5435,3376,3157,3312,3574,5035,6413,7087,6436,5392,3998,3434,3324,3288,3542,4842,6821,7019,6814,5797,4088,3493,3208,3412,3654,5008,6582,7223,6844,5739,4096,3591,3723,3649,3953,5534,7010,9023,7074,5741,4324,3705,3614,3545,4097,5474,7109,7101,6659,5495,3944,3447,3372,3379,3703,5392,6939,6765,6093,4999,3732,3281,3437,3475,4188,6332,7743,7535,7247,5750,4255,3377,3210,3116,3766,6297,6907,6923,6469,5031,3652,3241,3217,3373,3904,6079,6988,6986,6042,4694,3321,2833,2508,2014,1859,1611,1430,1257,1186,1071,872,819,714,661,670,571,519,442,465,437,440,346,461,343,342,311,231,209,206,160,112,76,152,92,84,88,52]
[247,292,254,263,302,323,406,442,471,413,540,562,638,801,975,1100,1380,1945,3699,6054,6927,6809,5845,3925,3135,3003,3403,3213,4548,6097,6082,6264,4761,3557,2948,2921,2887,3339,4440,6108,6587,6299,5061,3529,3029,2941,2965,3291,4202,5897,6024,5956,5078,3538,3104,3248,3440,3710,4485,6284,6822,6620,5846,4704,3390,3157,3214,3536,4810,6053,6428,6238,5004,3574,2937,3089,2979,3578,4727,5852,5966,5462,4325,3255,2953,2936,3014,3706,5854,7570,7482,6533,5378,3719,2986,2601,2847,3251,4566,5999,7908,5559,4312,3079,2829,2833,2991,3425,4747,6079,6322,5568,4094,2777,2103,2031,1782,1548,1451,1293,1050,944,855,745,647,708,688,624,524,479,487,462,399,296,361,226,285,256,345,165,222,154,219,162,90,84,78,80,72,60]
[275,328,308,298,310,287,313,406,458,522,636,575,742,817,1038,1087,1380,1779,2794,4125,4628,4993,4313,3134,2579,2505,2667,2721,3061,4636,4617,4146,3690,2942,2459,2536,2481,2687,3260,3951,4395,4257,3617,2807,2522,2478,2434,2671,3185,4097,4655,4641,3793,3022,2851,2818,2874,3012,3864,5036,5221,5191,4396,2958,3027,2897,3504,3140,3667,4554,4587,4516,3822,2806,2680,2565,2583,3080,3633,4257,4094,4250,3600,2911,2591,2674,2526,3167,3885,5005,5021,4827,3904,2908,2553,2418,2428,2641,3317,3909,4675,4706,3427,2664,2829,2481,2453,2703,3278,4210,4637,4033,3213,2427,1920,1729,1725,1413,1303,1133,1069,860,766,738,663,552,605,571,540,451,402,366,385,421,360,245,294,264,249,269,159,204,191,88,78,58,86,100,72,50]
[298,263,188,273,343,249,369,320,429,411,438,552,627,740,784,902,1070,1329,1818,2372,3103,3561,2957,2260,2160,2138,2189,2253,2612,3134,3438,3415,3142,2333,2151,2167,2013,2330,2589,3010,3313,3125,2945,2269,2265,2262,2311,2193,2431,3190,3475,3406,2878,2496,2443,2449,2528,2423,2648,3237,3836,4026,3262,2633,2491,2450,2237,2426,2745,3712,3594,3570,3061,2576,2398,2241,2420,2322,2639,3002,3437,3380,2694,2393,2259,2217,2235,2337,2892,3505,3964,3834,2957,2480,2150,2278,2193,2098,2454,3108,3384,3365,2588,2189,2095,2137,2465,2256,2328,2941,3343,2848,2322,1935,1767,1614,1457,1248,1195,1044,845,877,768,586,586,623,517,505,432,456,388,389,372,338,244,293,277,203,205,245,211,164,173,104,187,80,64,42,50,44]
[269,191,242,243,306,325,405,394,372,439,534,495,641,628,742,891,980,1107,1337,1691,2156,2343,2216,2034,1910,1944,2064,1975,2110,2508,2298,2573,2308,2140,2391,2153,2007,2014,2215,2509,2549,2634,2148,2099,2015,2097,2039,2264,2383,2644,2864,2728,2261,2173,2295,2389,2195,2430,2578,2963,3253,3098,2650,2512,2261,2290,2449,2362,2511,2716,3023,2653,2879,2221,2124,2109,2091,2355,2445,2614,2724,2440,2294,2251,1903,2185,2150,2164,2432,2738,2906,2752,2361,2228,2059,2045,1970,2048,2258,2425,2521,2546,2075,2050,1969,2089,1951,2113,2117,2912,2473,2031,1771,1685,1600,1376,1319,1149,907,813,824,735,632,612,472,453,423,401,410,409,356,266,329,315,229,208,275,258,157,237,181,169,166,98,74,74,84,66,70,48]
[246,209,200,253,328,304,283,344,403,383,484,570,523,573,774,779,892,1038,1157,1312,1649,1733,1784,1789,1805,1849,1879,2015,2001,2049,2207,2085,1959,1941,1974,1975,1942,2395,2067,2192,2253,2195,1975,1950,1970,2046,1979,2172,2013,2194,2337,2350,2229,2114,2151,2242,2331,2291,2324,2505,2575,2558,2342,2332,2225,1994,2042,2192,2234,2357,2297,2582,2310,1997,2053,2469,2096,2031,2180,2349,2093,2309,2171,1900,2028,1926,2107,2089,2211,2225,2297,2146,2136,1936,1855,1907,1910,1931,2073,2081,2066,2167,2067,1913,1908,1993,1975,1865,1948,1848,1910,1698,1891,1434,1411,1233,1203,967,863,915,738,660,593,543,423,404,421,408,399,338,373,296,299,230,244,204,185,240,182,186,167,90,74,116,164,66,58,76,56,60]
[189,211,210,301,263,310,255,311,346,360,401,420,534,561,596,730,762,892,1048,1208,1287,1316,1520,1556,1686,1530,1777,1632,1645,1907,1796,1825,1632,1801,1703,1631,1757,1750,1722,1871,2373,1906,1819,1820,1791,1805,1809,1877,1931,1996,2065,2006,2023,1973,1940,2073,1910,1916,2053,1963,2163,2107,1852,2012,1983,1945,1997,1870,1826,2035,2075,2030,1956,1867,1830,1878,1869,2088,1860,1935,1978,1919,1781,1738,1731,1852,1788,1689,1801,1944,2009,2062,1860,1907,1773,1684,1736,1654,1736,1840,1845,1929,1716,1658,1648,1734,1736,1641,1623,1702,1555,1489,1310,1318,1147,1181,970,883,844,672,696,699,488,489,375,442,349,430,389,326,291,288,267,302,233,179,215,229,217,147,167,198,90,100,84,76,86,44,44,46]
[199,178,189,229,197,215,397,368,324,407,382,434,499,560,511,566,674,811,846,874,1074,1166,1151,1183,1177,1241,1303,1478,1503,1400,1454,1518,1524,1505,1517,1567,1591,1686,1657,1601,1607,1580,1544,1781,1516,1598,1484,1755,1543,1569,1742,1698,1758,1592,1612,1721,1731,1623,1678,1818,1862,1798,1698,1765,1590,1736,1835,1754,1737,1727,1872,1931,1653,1654,1588,1614,1494,1617,1715,1770,2039,1687,1670,1599,1568,1584,1631,1533,1641,1726,1558,1677,1716,1533,1552,1470,1584,1533,1435,1602,1594,1472,1562,1428,1507,1304,1457,1354,1379,1281,1342,1294,1027,1080,1048,918,833,848,884,671,601,480,526,452,462,396,337,299,295,248,289,344,249,257,208,259,229,201,119,134,177,191,94,68,70,76,80,34,50,50]
[163,257,238,173,222,236,345,260,325,444,375,380,365,558,566,586,597,683,741,810,880,925,978,1022,1078,1175,1122,1306,1309,1298,1307,1235,1213,1293,1205,1256,1274,1313,1318,1470,1377,1354,1362,1323,1315,1359,1642,1459,1405,1566,1300,1402,1396,1292,1335,1388,1539,1287,1621,1539,1570,1530,1473,1537,1349,1454,1392,1478,1460,1534,1532,1501,1550,1389,1242,1342,1464,1499,1566,1414,1424,1480,1382,1693,1244,1326,1316,1487,1470,1384,1499,1378,1388,1293,1258,1155,1253,1284,1362,1347,1301,1226,1167,1166,1223,1203,1145,1273,1061,1178,1217,1064,1006,963,855,870,798,777,734,609,570,566,486,392,401,395,348,282,288,307,246,190,201,219,190,157,230,227,121,152,98,74,66,62,78,78,68,42,36,60]
[188,219,188,187,207,249,265,302,253,340,359,451,383,409,456,589,545,582,643,767,695,786,874,891,825,887,915,1085,992,1098,1084,1076,1073,1072,1090,1024,1058,1169,1186,1236,1113,1194,1125,1118,1159,1157,1121,1184,1232,1418,1213,1142,1196,1256,1230,1323,1210,1315,1279,1189,1322,1198,1201,1177,1247,1152,1239,1266,1333,1401,1330,1218,1202,1160,1094,1222,1134,1151,1348,1156,1188,1231,1128,1254,1078,1220,1276,1224,1177,1162,1223,1344,1061,1151,1145,1157,1045,1032,1051,1105,1039,1099,948,1004,1040,1000,1036,943,969,857,911,917,724,749,720,753,711,681,680,516,600,485,460,426,357,324,272,333,316,262,253,244,169,234,186,155,98,96,211,140,98,96,138,88,76,74,56,64,50,50]
[94,198,198,153,98,234,273,274,249,337,365,341,347,454,536,479,518,565,564,617,589,708,749,673,817,679,858,760,935,907,848,873,1058,927,912,969,990,922,949,974,1116,962,1002,959,1083,978,953,932,960,1028,937,1202,957,1020,964,994,1129,1118,975,1061,1036,1077,912,1014,1074,1077,1047,1013,1069,1034,1114,1094,992,1025,1121,1006,1033,1092,1009,1053,1053,990,980,1012,1113,993,905,1055,1106,1233,1000,1010,978,910,990,909,811,994,900,982,1093,979,907,850,859,753,932,864,898,846,818,774,695,690,618,711,546,584,420,481,531,443,471,367,385,290,349,293,256,312,226,252,235,235,249,206,187,163,92,88,119,80,72,84,62,54,64,34,56,36]
[90,152,188,182,214,139,208,315,275,294,273,288,394,319,415,449,370,503,485,519,518,626,623,612,628,611,732,761,743,808,790,733,892,779,876,773,811,799,811,926,889,863,788,744,831,903,821,892,921,964,910,974,995,959,1038,817,972,938,877,973,930,868,891,935,923,869,891,870,925,980,1024,1058,848,934,925,857,934,982,834,952,909,956,819,936,859,902,934,856,802,948,871,1109,806,799,827,865,769,860,790,899,794,734,820,749,784,784,802,685,657,801,703,560,695,603,529,489,572,475,486,430,489,468,373,415,311,317,235,303,283,269,217,254,215,215,203,217,100,209,88,92,92,74,64,64,70,54,58,50,52,40]
[180,218,84,212,168,220,280,291,233,308,304,365,264,334,327,355,374,358,381,470,609,477,496,508,504,571,679,667,659,711,673,644,703,714,685,735,750,831,739,825,756,769,780,741,852,737,818,773,737,812,735,840,822,840,836,800,791,792,897,867,906,857,726,851,824,879,845,759,917,844,852,826,794,778,788,827,752,756,760,851,861,866,788,774,723,763,685,761,783,848,767,739,815,885,990,789,715,757,668,766,753,679,730,591,666,716,643,596,589,648,545,628,520,506,473,453,496,491,417,439,455,423,376,368,284,288,246,237,240,255,265,218,171,158,215,194,100,92,78,98,64,82,70,76,50,54,50,54,52,46]
[168,121,192,228,185,163,185,237,203,241,259,257,290,316,372,293,282,387,422,453,443,472,508,537,594,468,542,623,513,636,611,611,636,639,644,630,646,609,662,647,664,634,709,690,668,646,724,689,672,718,712,794,805,598,671,758,670,676,688,649,941,702,732,695,735,661,655,719,611,674,716,736,721,724,694,617,765,688,681,787,723,700,723,724,737,670,594,720,661,729,587,752,611,680,647,588,571,793,664,642,686,639,649,533,561,558,543,483,475,528,536,518,526,447,414,473,416,483,355,359,311,369,358,336,334,298,317,275,269,244,225,256,173,170,220,58,154,104,72,96,76,76,50,82,66,46,48,36,50,42]
[94,162,159,204,165,186,175,172,139,221,231,252,312,256,261,273,323,332,259,368,417,439,447,399,458,399,467,406,630,490,612,527,513,524,640,586,505,653,726,595,634,662,657,554,573,607,622,622,585,605,701,661,722,626,622,578,643,581,638,576,663,702,604,517,644,619,691,715,725,628,710,658,718,681,596,518,556,563,630,626,678,635,637,652,542,551,556,613,594,640,622,632,579,575,616,605,566,495,595,577,676,518,546,567,533,545,630,547,539,527,523,459,405,480,427,362,405,369,316,312,356,377,319,347,298,267,231,221,177,231,225,209,150,148,198,204,84,68,54,62,82,64,82,76,50,46,42,42,46,44]
[105,152,98,134,201,100,198,166,197,234,237,229,268,309,305,325,317,277,324,330,374,353,420,427,398,436,448,443,432,409,483,640,446,508,502,528,507,590,591,610,562,548,533,549,564,459,484,507,597,562,612,540,657,634,544,508,564,526,487,603,527,595,523,472,512,543,550,545,579,739,660,618,605,631,509,543,554,574,544,574,503,492,621,479,572,541,561,490,522,580,585,606,516,573,478,452,478,487,465,533,489,494,468,429,455,500,512,494,462,509,387,497,377,366,346,395,335,381,302,328,355,337,302,272,265,279,249,233,224,233,174,168,201,176,209,179,74,90,72,86,80,76,72,201,46,54,42,46,52,24]
[90,123,94,199,128,177,88,205,175,202,158,228,230,258,185,280,217,261,289,302,296,361,338,360,354,352,414,432,380,480,479,436,492,531,539,427,485,425,527,430,537,478,503,480,412,529,498,490,544,485,469,567,536,541,517,519,568,556,502,582,478,542,479,504,489,465,562,568,492,541,581,568,494,520,514,456,497,502,561,531,577,563,520,516,485,532,458,466,541,495,527,565,594,514,486,493,418,470,557,499,473,435,459,459,499,448,411,435,449,562,368,391,382,373,326,281,334,359,340,336,255,292,294,231,201,216,221,215,186,229,125,180,228,98,90,174,84,54,68,90,78,74,44,62,50,46,24,22,46,42]
[72,144,120,90,219,122,183,163,167,132,219,274,245,184,250,218,316,249,232,267,283,251,321,299,352,322,321,376,316,367,400,359,352,368,389,389,461,405,373,454,448,438,435,449,386,462,470,420,616,509,375,496,475,413,489,502,525,471,469,486,464,438,556,442,446,418,451,478,529,435,445,424,552,529,392,378,465,484,477,501,432,441,429,466,426,408,460,446,466,511,417,420,446,437,479,444,447,422,369,419,428,493,412,475,386,369,414,384,354,364,292,421,414,329,351,368,261,313,297,254,259,284,180,308,209,256,225,187,219,139,219,147,183,94,197,82,94,72,70,54,78,54,48,56,68,38,30,36,34,28]
[88,84,109,90,112,194,170,157,66,194,167,211,185,206,230,252,237,236,258,224,290,328,230,250,246,309,304,309,301,327,339,348,436,354,366,429,390,398,425,437,340,395,467,414,394,355,384,414,370,415,488,544,459,395,425,440,381,445,428,450,406,444,414,426,448,485,428,472,461,432,428,414,503,395,446,389,360,353,396,409,408,458,476,384,467,377,423,421,419,441,300,433,410,394,324,367,416,367,340,420,380,383,376,390,330,388,367,367,369,349,366,270,338,301,304,358,270,186,206,240,241,167,262,201,142,212,232,163,229,175,176,191,127,124,136,88,72,50,78,64,76,52,56,58,56,42,30,52,34,38]
[68,98,78,76,176,160,160,92,98,94,227,148,235,173,225,202,221,203,231,259,169,238,252,206,287,269,294,312,342,324,327,352,275,280,370,374,355,279,376,387,353,327,408,368,389,380,302,368,340,341,413,393,379,344,407,375,369,361,350,320,372,364,360,375,362,393,357,324,391,323,374,358,414,388,385,350,374,426,363,390,317,390,288,401,362,399,316,313,398,376,396,490,360,388,341,398,338,327,304,360,277,284,369,351,321,317,296,335,313,294,288,333,218,335,237,188,264,200,263,235,212,234,193,267,244,148,163,108,96,272,206,178,78,98,86,86,76,68,100,70,74,58,66,50,48,58,50,50,40,32]
[56,78,80,94,84,84,88,174,183,169,170,135,184,182,131,196,133,199,198,256,281,254,290,180,225,271,318,254,330,233,334,269,312,284,344,309,319,300,361,345,340,315,392,316,315,286,404,356,334,399,326,334,337,385,393,379,303,390,327,368,318,341,354,313,306,404,358,346,281,380,381,342,345,346,352,316,296,334,353,298,286,300,304,309,318,301,391,290,378,284,283,288,330,312,386,323,376,304,278,283,311,349,280,296,341,305,304,276,221,261,291,331,250,252,237,191,196,240,167,172,192,153,224,172,189,154,144,152,167,96,210,88,137,76,86,80,76,80,54,62,70,54,66,50,42,42,38,42,48,32]
[70,92,96,76,72,80,90,131,156,143,164,156,190,126,153,226,142,248,137,254,237,202,264,240,226,223,265,270,218,268,274,257,328,304,287,233,307,318,344,350,251,381,358,339,302,304,271,306,324,361,353,337,324,331,274,251,336,272,333,359,385,316,298,367,238,369,364,319,324,248,317,300,259,324,342,315,298,318,300,242,338,296,297,264,297,239,304,275,225,292,346,308,277,226,270,247,321,343,322,326,275,316,282,222,214,237,270,224,196,301,217,251,209,241,247,201,243,177,203,142,217,92,180,140,92,189,133,132,94,78,98,184,82,74,90,98,98,76,50,60,56,40,36,36,40,34,30,26,30,26]
[44,115,62,84,56,100,74,98,96,78,68,214,136,144,160,130,96,214,221,239,151,138,212,267,228,214,195,217,219,217,215,300,267,217,321,261,268,289,243,180,242,259,291,306,190,287,257,325,245,358,344,245,286,304,307,320,257,272,290,298,336,292,330,273,333,293,289,236,226,336,324,320,317,302,266,283,370,315,249,282,325,247,262,219,315,205,297,248,233,308,325,316,226,320,332,251,214,281,231,330,301,268,294,205,237,229,274,228,162,239,283,261,203,157,170,254,167,196,193,237,180,210,224,188,198,94,159,96,179,68,88,96,66,76,68,72,50,56,46,44,44,52,46,40,34,32,48,22,30,24]
[42,52,56,72,76,74,72,66,191,72,92,150,190,88,96,98,214,185,90,211,181,134,177,206,236,123,165,249,246,277,189,234,282,191,225,290,208,230,237,234,276,241,231,234,241,242,258,280,208,277,293,244,279,215,344,258,282,212,222,246,262,253,222,240,299,356,217,267,262,337,275,233,259,211,223,256,212,256,253,206,296,185,287,279,257,220,299,250,236,253,249,333,241,211,239,249,313,224,268,326,237,204,229,270,218,190,310,266,223,203,194,224,204,151,158,122,195,181,204,92,215,110,156,147,138,98,82,88,148,82,155,82,62,186,100,90,58,68,54,62,62,48,54,42,38,18,34,40,46,30]
[66,82,58,56,66,76,66,56,74,88,76,90,103,80,175,171,149,174,167,153,218,141,180,222,207,224,152,148,252,184,265,232,241,182,173,233,194,225,223,187,240,263,180,242,215,303,194,261,266,220,295,280,274,218,231,236,245,308,235,271,223,253,288,276,197,201,286,304,254,226,289,316,251,198,213,245,242,231,230,292,211,201,223,276,209,215,199,200,286,266,205,226,206,251,189,195,239,273,206,228,282,268,260,224,184,202,194,242,209,211,214,226,161,209,149,167,145,96,129,90,200,174,138,98,100,100,183,88,131,92,96,44,80,64,60,46,50,80,46,54,50,52,52,54,42,20,40,36,32,30]
[66,74,70,68,78,78,72,62,86,68,80,72,94,76,82,114,146,90,98,149,183,183,98,126,178,86,155,134,145,185,191,224,168,182,198,170,204,187,246,273,211,195,229,156,181,189,207,237,216,198,176,246,170,244,223,235,232,196,232,266,192,259,214,245,273,206,247,257,214,182,170,276,186,216,146,172,175,194,174,212,218,183,239,259,190,172,192,153,193,145,185,205,250,187,194,188,204,182,224,170,193,164,165,189,207,208,206,144,184,127,175,169,191,141,186,88,96,143,172,74,94,94,94,161,98,84,88,84,96,78,60,48,74,68,82,56,62,38,44,50,54,48,52,44,56,28,52,32,46,26]
[58,30,54,52,58,58,62,58,62,42,86,78,66,100,56,80,94,194,74,96,88,213,86,110,80,177,90,228,166,160,134,221,133,123,229,94,212,228,215,222,227,150,228,134,238,248,219,164,261,256,209,248,233,185,228,231,176,209,241,254,228,232,191,227,205,229,226,197,177,195,209,258,189,209,155,178,252,261,184,198,208,205,157,151,253,221,196,199,166,164,193,180,138,165,142,179,178,220,192,165,98,189,96,241,151,171,210,216,250,96,147,100,76,146,98,134,192,88,86,111,92,80,100,78,90,78,76,68,84,78,70,46,72,52,54,40,50,42,54,44,42,28,34,40,40,26,40,32,40,28]
[56,54,56,40,50,50,68,56,74,54,60,88,60,138,70,94,84,66,94,76,80,96,82,197,203,194,164,208,138,162,180,210,170,194,183,191,178,145,221,220,222,188,181,139,230,215,156,189,142,219,245,211,202,213,175,164,204,226,141,164,230,142,199,256,186,135,206,216,269,153,174,173,191,138,174,194,141,210,251,217,155,249,238,205,178,154,154,195,161,204,189,183,193,206,176,174,207,211,147,248,223,168,212,150,94,161,219,179,223,134,211,218,144,217,100,78,151,78,86,100,92,90,78,74,82,56,72,70,58,62,46,64,60,56,64,46,34,42,22,36,28,40,44,28,30,36,26,30,16,44]
[50,44,42,54,62,40,50,52,70,46,80,82,48,80,82,66,90,94,78,88,84,82,161,90,88,193,90,200,194,138,187,90,166,211,123,132,226,124,195,167,224,150,163,132,224,191,171,150,189,126,197,202,242,98,173,192,204,153,151,174,158,155,183,119,227,199,173,206,201,132,140,164,174,166,198,222,214,117,226,211,215,136,233,234,200,207,106,175,178,241,204,100,216,220,223,100,197,135,210,200,207,134,143,185,96,171,210,94,76,205,86,129,92,80,92,100,179,80,76,74,90,88,60,88,72,60,70,70,68,60,48,48,64,40,58,46,52,30,48,18,36,50,32,42,20,32,36,30,22,18]
[34,54,36,36,36,50,48,30,38,80,74,58,56,72,92,72,54,60,66,80,84,78,70,62,78,138,80,84,84,82,146,130,84,92,92,100,213,148,148,194,100,155,94,131,184,155,145,180,136,171,215,84,143,212,180,135,119,217,149,98,148,194,203,204,100,174,155,189,128,193,147,147,207,133,143,147,130,94,90,82,169,135,201,92,166,146,92,90,90,226,90,82,94,133,103,88,142,96,90,94,193,186,148,74,92,78,94,76,58,78,92,100,94,80,72,96,66,90,165,86,68,94,26,84,58,54,54,72,48,36,62,42,44,56,62,42,56,42,46,40,30,46,22,44,38,36,18,32,30,18]
[46,50,38,56,46,50,54,48,34,52,46,52,60,62,60,76,64,58,50,60,88,68,58,70,84,84,80,92,98,94,96,92,176,86,76,100,100,86,165,209,72,202,209,82,143,86,177,98,90,125,203,219,213,100,206,119,88,213,116,131,94,90,185,94,147,164,266,196,143,160,86,158,88,98,107,187,84,86,104,127,96,212,201,167,82,135,165,166,98,151,185,180,174,94,76,86,84,141,98,86,74,100,88,96,60,178,74,115,84,68,78,200,58,100,80,78,78,70,68,72,56,60,62,84,68,66,42,60,64,44,58,64,60,50,52,46,40,40,40,48,36,50,32,24,36,34,34,20,26,28]
[44,44,54,50,58,66,34,66,52,34,64,70,56,72,64,62,54,58,80,52,80,193,82,66,74,76,96,80,72,52,74,88,171,78,82,92,68,186,90,94,100,153,112,76,155,123,104,149,167,76,184,88,94,153,198,82,88,117,100,134,100,198,205,94,188,130,86,90,98,185,121,92,161,135,196,98,171,82,96,96,84,88,90,160,78,86,100,190,80,74,96,92,90,90,88,88,98,86,94,78,92,90,92,64,76,70,86,58,92,94,64,70,70,80,52,72,54,68,70,64,62,52,60,64,62,58,70,46,42,48,46,34,38,34,36,28,36,68,46,30,26,28,26,34,24,24,30,30,34,30]
[36,32,58,42,48,48,56,46,68,62,54,44,66,66,48,80,36,48,68,52,64,62,50,68,84,62,70,72,50,42,80,72,123,80,76,80,92,94,78,56,86,82,78,94,88,100,90,80,94,76,86,167,205,92,100,92,135,96,159,86,60,96,98,206,78,171,96,92,60,60,64,150,92,88,96,78,84,80,98,82,80,194,92,78,78,82,84,86,76,86,173,88,76,88,94,94,84,88,76,74,76,98,62,78,80,78,52,54,60,80,62,84,78,68,58,72,64,60,50,60,72,34,62,68,60,60,64,52,34,54,34,52,36,52,58,42,32,34,42,54,36,42,32,36,26,26,36,32,32,24]
[32,50,52,48,38,62,46,50,48,42,52,28,50,36,58,32,50,44,56,46,62,72,72,70,54,70,86,66,78,68,107,82,68,98,72,82,96,60,74,78,84,88,88,88,86,90,157,98,126,94,74,88,121,133,78,88,98,58,78,98,82,94,74,88,84,88,184,80,82,86,92,88,78,76,68,62,72,78,94,52,86,96,78,92,98,100,80,54,84,82,56,96,92,66,70,72,68,66,88,70,76,70,54,84,72,84,56,78,56,64,56,70,48,54,56,50,74,70,58,56,92,68,50,46,42,56,58,38,42,48,44,40,24,30,48,40,22,38,26,24,24,28,50,24,36,24,24,10,16,26]
[40,48,42,26,36,48,30,44,36,44,48,54,40,64,62,52,42,70,56,52,56,58,50,52,62,44,60,44,66,52,58,52,74,66,46,70,72,88,58,78,66,78,88,88,70,70,88,66,74,76,78,201,88,94,88,113,70,88,88,96,80,60,98,50,76,90,204,74,80,76,82,84,84,62,92,76,100,80,70,74,62,80,64,68,72,72,98,58,80,68,82,92,72,94,60,88,92,82,64,70,66,66,64,72,62,76,56,82,48,64,64,78,66,52,40,58,64,52,52,36,54,34,30,52,38,46,38,24,44,36,28,40,30,28,38,32,40,30,18,22,36,28,26,18,14,18,22,24,18,20]

{"sheet":"Figure_1D_layer_10","index":10,"n_rows":150,"n_cols":150,"rows_kept":150}
[14,28,20,12,34,26,22,16,24,28,24,22,28,24,22,20,44,18,28,10,10,34,20,36,32,12,22,30,32,42,46,46,66,42,70,66,66,119,74,70,64,94,80,174,80,98,132,183,178,176,140,179,150,209,211,177,262,149,229,239,195,187,286,230,254,297,251,287,275,251,149,234,256,163,229,285,216,220,228,244,221,272,234,325,178,239,295,278,277,266,300,196,280,222,251,256,301,278,241,274,244,290,260,290,305,212,232,196,225,198,241,185,220,213,244,152,249,285,260,188,169,230,204,176,235,221,225,174,206,163,238,196,184,210,210,182,170,153,178,108,180,80,88,100,62,88,72,160,70,52]
[8,26,14,10,30,26,22,16,18,10,16,34,30,34,32,22,14,16,26,10,34,16,38,6,32,40,30,48,46,38,52,76,70,66,94,72,76,82,96,68,76,191,94,188,158,175,132,138,177,140,208,190,186,180,249,170,164,259,169,228,206,263,202,259,264,247,242,239,265,284,273,316,231,308,252,204,315,281,314,216,233,305,249,272,241,276,276,297,251,278,263,263,220,246,233,193,254,286,236,338,235,294,237,258,222,224,294,201,299,339,329,245,176,286,263,229,302,283,239,212,298,231,230,284,249,229,164,146,175,166,216,209,171,187,216,167,153,146,178,178,82,121,82,82,92,206,80,72,62,54]
[4,18,22,20,24,30,30,24,26,18,18,16,16,12,20,14,24,24,16,20,24,22,20,34,26,40,50,40,32,68,56,70,58,92,78,76,82,223,167,189,180,125,139,137,198,164,141,266,232,250,228,191,186,190,200,252,243,228,235,219,216,191,198,267,229,287,311,317,204,276,236,300,280,296,324,306,332,334,250,252,236,261,271,278,280,332,335,228,284,294,274,331,264,300,337,272,311,361,271,299,276,291,227,299,257,311,317,205,235,278,227,283,293,274,211,230,235,226,272,243,261,325,280,201,244,186,248,230,177,162,174,197,249,178,238,248,219,157,160,120,173,96,183,100,201,76,82,66,70,199]
[24,20,10,32,38,30,28,32,30,22,26,14,26,26,24,14,20,14,22,28,28,12,38,18,32,26,56,58,92,58,76,86,74,84,70,197,146,207,167,186,158,262,191,214,183,193,168,207,249,261,201,191,272,272,297,262,310,220,287,325,269,269,261,271,261,238,282,250,266,365,298,209,246,315,273,305,316,374,260,326,316,297,278,324,298,369,335,266,277,324,281,265,394,324,267,298,356,286,329,339,277,332,352,316,325,310,263,304,366,237,347,266,325,271,294,325,283,290,273,293,251,255,292,276,258,309,292,279,281,216,214,193,247,239,198,232,174,123,189,141,151,92,80,194,88,92,72,207,92,62]
[18,16,12,18,18,24,18,30,26,26,38,22,20,28,18,18,12,42,44,26,30,38,26,24,46,70,80,48,52,94,133,94,98,135,100,215,167,224,143,182,177,189,268,240,288,310,327,249,210,320,228,290,288,335,343,251,342,323,308,357,288,290,344,294,271,246,308,394,282,330,342,400,361,372,368,277,273,283,373,365,426,358,275,366,313,308,345,318,392,313,276,301,341,295,359,299,335,329,298,337,364,300,309,265,335,274,270,249,271,251,339,322,350,314,372,293,292,401,295,299,325,347,288,262,300,272,275,338,211,221,257,176,221,169,174,205,228,180,183,224,176,202,214,167,84,74,125,94,80,82]
[20,14,28,6,30,12,22,26,6,18,30,24,20,10,20,38,10,18,34,48,16,32,50,62,54,76,72,84,90,96,122,90,208,188,232,157,157,220,194,229,213,259,278,281,238,316,333,324,284,276,303,304,331,353,290,331,322,366,331,362,363,323,365,324,337,334,344,401,268,346,359,375,309,377,431,357,379,337,396,365,424,389,428,365,327,379,304,357,365,370,307,305,317,351,422,348,406,390,402,402,299,327,422,368,372,393,440,373,345,406,372,397,346,320,392,364,357,327,311,335,412,263,333,312,337,277,308,299,249,229,296,212,259,215,174,180,194,228,145,205,204,203,96,113,190,100,88,202,96,82]
[24,20,24,16,12,36,22,8,28,28,12,22,32,12,38,34,42,24,54,50,42,42,72,42,74,64,70,76,88,164,108,100,100,188,217,196,248,291,218,199,240,292,252,244,342,336,313,288,348,353,331,318,287,360,434,327,283,388,376,324,401,405,391,416,418,347,390,491,371,370,415,454,393,315,390,348,432,378,419,315,450,354,414,433,465,412,459,351,451,430,327,425,455,419,371,452,473,431,407,364,372,355,478,374,417,462,405,407,356,373,337,383,321,327,369,362,345,394,349,372,345,324,379,435,311,264,328,312,274,270,251,236,209,279,304,307,277,201,244,252,199,182,199,151,209,130,138,88,150,72]
[18,14,22,18,16,16,8,20,16,24,28,36,18,28,24,42,38,30,26,32,56,42,52,70,96,82,145,191,199,246,248,208,238,181,194,249,234,242,296,245,269,213,291,325,388,296,320,315,325,306,416,372,386,357,344,392,407,457,338,334,380,418,462,485,384,374,384,415,408,427,401,440,400,391,446,460,376,440,485,405,469,466,467,471,494,419,450,448,537,413,459,458,428,461,494,369,471,438,449,456,524,366,407,435,424,464,463,428,412,411,401,406,383,365,430,385,381,388,388,430,386,340,308,281,294,427,303,348,312,246,267,355,285,234,297,297,224,251,178,237,158,149,165,220,166,96,80,100,170,94]
[14,16,26,30,24,18,20,24,28,28,16,34,30,28,20,20,24,40,32,58,60,52,86,76,82,200,84,143,205,150,185,213,240,193,255,306,252,305,298,308,273,340,382,344,365,415,452,386,385,391,456,420,407,424,494,390,394,443,420,509,458,435,369,403,442,444,431,549,470,405,507,495,421,517,508,520,450,458,541,455,478,504,508,503,429,483,456,513,560,461,554,530,547,483,437,555,531,480,443,415,488,469,432,528,547,532,479,526,474,434,408,458,422,414,430,461,455,351,402,401,402,456,375,342,343,393,332,365,353,314,281,347,366,325,255,264,191,216,215,180,191,153,147,187,205,166,165,100,141,200]
[16,32,4,20,10,22,18,24,30,18,12,28,22,40,42,30,40,34,64,72,60,62,80,92,98,217,227,198,214,239,197,250,228,284,346,351,270,271,388,336,374,386,372,362,474,481,468,373,438,448,498,399,499,485,472,429,437,573,420,432,412,582,527,508,471,514,526,456,501,458,471,565,505,547,540,464,484,500,533,513,514,480,536,550,451,536,504,492,518,479,535,558,572,521,608,572,499,549,567,500,477,489,530,634,513,487,527,567,421,521,454,517,547,459,476,566,514,455,487,425,434,426,432,472,361,379,356,424,388,366,331,371,403,240,324,226,305,272,283,249,239,272,159,184,164,128,167,138,76,92]
[32,22,22,12,18,38,30,24,22,22,24,32,38,36,48,34,40,58,62,72,56,84,82,150,207,221,222,212,222,225,270,302,289,313,369,313,361,356,416,401,372,412,455,438,451,479,545,426,503,400,452,428,499,559,506,638,566,551,629,555,523,614,577,512,580,526,575,599,614,604,527,563,605,614,526,604,619,569,642,592,566,643,488,527,622,569,590,551,574,609,606,599,620,661,518,561,521,528,567,520,596,626,519,594,587,589,592,507,467,601,554,601,488,461,511,461,503,531,508,513,551,402,480,373,457,411,396,385,397,304,439,332,369,256,291,274,230,242,243,240,195,213,132,195,214,185,137,173,86,88]
[30,18,10,22,22,14,38,22,24,32,32,22,36,32,46,50,72,74,78,82,96,136,94,117,200,227,238,221,215,297,309,321,268,294,394,353,352,365,453,432,475,484,513,554,495,542,571,519,511,542,577,555,550,539,572,628,598,565,683,549,637,563,612,598,598,622,588,630,546,650,678,684,676,668,689,637,609,616,614,657,660,600,672,696,583,688,665,646,593,655,668,674,645,584,632,624,694,597,579,592,636,614,645,553,631,666,681,633,649,610,696,571,553,539,647,605,567,550,518,566,545,458,505,510,545,486,515,513,466,370,445,333,400,390,312,339,331,237,315,281,223,239,231,177,144,217,197,137,198,156]
[26,36,24,6,28,28,28,22,40,26,30,22,48,22,52,62,80,48,70,82,98,138,194,169,174,281,293,235,261,303,301,308,354,323,378,473,439,414,387,514,477,495,528,569,494,564,529,620,621,614,638,571,661,614,628,605,654,700,691,663,618,689,844,630,643,696,620,791,665,731,714,705,679,675,604,645,681,746,637,665,710,773,683,800,731,694,717,795,690,692,696,850,681,658,708,717,700,697,747,852,652,714,688,603,680,701,733,665,649,640,598,672,673,663,667,528,632,573,634,569,560,562,641,537,489,546,477,530,522,382,383,438,380,373,407,261,372,344,238,288,230,213,234,214,186,191,220,98,149,149]
[26,18,8,16,36,34,32,36,32,22,28,42,32,64,50,50,76,62,162,92,155,205,186,186,178,241,259,345,356,343,372,331,398,423,386,520,456,568,495,556,538,543,669,527,628,649,619,649,596,581,590,726,587,648,631,757,768,654,712,723,725,749,764,694,730,858,698,775,699,665,709,785,799,736,686,737,735,783,793,768,817,795,739,759,789,672,751,782,807,854,768,902,694,834,667,827,797,756,781,674,771,788,878,675,657,666,777,772,765,723,756,701,647,778,690,565,633,676,711,658,561,580,508,543,513,528,508,483,465,474,499,326,403,387,334,329,372,337,312,307,221,229,249,183,230,173,238,172,146,198]
[32,20,18,28,22,28,24,10,26,48,36,38,46,44,54,62,96,190,68,106,188,250,221,212,208,303,315,308,364,372,385,428,363,446,491,526,529,596,692,698,582,616,697,653,639,693,679,676,764,709,688,708,811,751,764,748,798,777,862,782,816,798,796,753,715,848,779,825,1028,815,883,792,793,852,886,781,815,913,911,922,857,861,858,845,863,912,872,734,909,855,800,878,829,806,875,793,718,760,847,842,796,794,780,858,791,874,724,770,797,855,776,679,748,804,704,663,749,664,717,626,665,602,686,579,660,581,463,610,558,508,459,413,403,414,394,389,404,336,285,266,346,248,258,301,195,199,185,166,191,140]
[14,20,24,40,32,22,34,40,38,40,48,30,42,62,72,82,88,94,146,154,136,233,230,218,346,333,321,291,376,404,372,523,498,594,483,591,639,652,550,697,660,852,769,746,765,708,754,678,734,811,780,812,835,814,833,836,767,913,793,1004,870,903,855,911,872,907,869,954,941,870,853,1146,898,956,904,953,974,964,867,948,841,865,1003,951,943,982,886,837,924,915,952,920,919,923,987,929,846,944,858,968,897,837,824,869,854,879,816,952,1000,734,874,837,825,766,895,782,837,745,716,676,744,656,684,655,688,658,639,646,508,485,500,378,459,456,374,450,387,292,327,332,285,305,261,228,259,293,234,168,230,219]
[26,30,28,16,34,16,30,30,42,58,30,42,52,56,86,98,123,90,94,195,256,212,248,252,385,288,337,374,381,524,522,606,586,539,595,584,725,665,719,842,721,831,823,798,846,873,883,875,889,867,902,868,935,928,838,947,941,937,972,933,993,1051,958,1005,965,988,917,1084,929,902,998,1066,1055,1203,983,1013,1049,1020,999,1064,1052,1112,997,1028,1076,1096,1001,1021,926,995,1007,950,924,1047,1009,1070,948,893,955,897,1007,932,873,914,919,1062,963,1001,933,942,1019,1132,1009,902,891,857,860,816,812,877,794,805,840,709,749,620,649,575,513,525,611,549,452,517,439,435,451,365,345,296,271,255,279,244,227,198,223,218,284,152]
[32,32,24,28,24,24,26,44,36,34,50,30,76,66,68,98,157,169,168,211,237,329,292,347,395,388,370,452,474,529,603,631,584,614,704,737,712,818,823,1096,888,886,969,1020,909,967,936,969,916,1088,976,1012,1042,1052,974,1073,1077,1059,1021,1113,1024,1046,1036,1069,1137,1095,1114,1170,1141,1090,1137,1156,1116,1071,1183,1097,1349,1110,1148,1140,1071,1046,1195,1042,1201,1187,1090,1179,1124,1111,1139,1152,1036,1148,1076,1103,1061,1116,1034,1111,1091,1012,1145,1044,1030,1044,1047,1074,966,990,1051,971,1041,962,1217,915,928,958,861,926,883,847,825,800,796,697,729,739,664,653,595,556,540,564,471,436,473,407,355,316,303,285,306,333,229,288,241,281,159,237]
[16,14,12,32,44,18,24,42,34,54,54,48,66,144,76,96,136,172,212,199,270,303,323,363,378,461,463,525,609,569,598,660,704,725,693,865,933,865,949,979,1060,972,1139,1070,1009,1031,1119,1031,1094,1130,999,1122,1073,1204,1127,1045,1081,1222,1244,1191,1180,1227,1128,1199,1143,1138,1071,1198,1274,1124,1144,1154,1231,1286,1168,1293,1212,1159,1210,1442,1233,1282,1231,1275,1220,1223,1236,1080,1111,1161,1137,1126,1126,1209,1150,1177,1282,1161,1291,1192,1248,1112,1189,1138,1200,1118,1259,1106,1027,1110,1185,1119,1133,1048,950,1115,1244,984,951,1003,1039,949,898,913,841,726,834,803,715,619,609,580,587,554,474,375,407,426,469,330,313,312,280,275,322,327,242,211,222,277]
[30,18,16,26,38,40,42,48,46,50,149,76,90,90,203,220,187,205,252,224,300,389,323,330,454,479,520,551,582,650,677,800,699,835,768,786,891,874,1033,1079,1119,1061,1191,1149,1060,1109,1086,1165,1297,1224,1271,1245,1312,1240,1463,1172,1189,1256,1193,1440,1240,1403,1431,1268,1310,1205,1351,1269,1333,1355,1355,1237,1411,1259,1364,1416,1321,1379,1267,1339,1270,1481,1427,1289,1219,1346,1384,1279,1424,1284,1379,1334,1553,1413,1219,1220,1367,1309,1279,1266,1337,1256,1276,1309,1238,1250,1222,1320,1225,1226,1195,1286,1101,1203,1102,1094,1055,1182,1089,1044,1106,1033,1049,943,906,878,816,827,728,888,757,671,674,585,544,524,471,450,442,453,343,399,300,354,310,301,190,237,251,209]
[32,36,30,20,22,32,36,54,40,56,56,74,149,173,206,188,248,239,247,333,386,336,344,445,484,481,592,659,727,720,729,877,862,883,918,927,1075,990,1117,1194,1113,1222,1355,1258,1246,1144,1187,1257,1310,1357,1324,1252,1387,1389,1337,1261,1311,1713,1338,1424,1363,1370,1462,1423,1551,1402,1415,1423,1464,1419,1454,1401,1472,1562,1616,1435,1473,1485,1505,1486,1469,1477,1475,1620,1412,1364,1380,1401,1470,1467,1417,1400,1374,1452,1416,1636,1431,1442,1459,1246,1367,1423,1367,1440,1507,1431,1358,1407,1287,1379,1399,1248,1310,1305,1214,1080,1246,1267,1156,1181,1154,1043,986,1054,865,931,930,825,866,700,658,658,753,720,566,496,565,446,417,411,420,386,321,312,292,289,252,288,271,203]
[18,38,18,44,36,36,60,42,46,62,78,88,98,146,200,244,207,289,317,300,313,377,448,576,566,570,667,777,786,728,796,1010,870,1024,983,1020,1139,1180,1307,1303,1349,1319,1276,1364,1420,1266,1392,1414,1386,1498,1385,1449,1419,1587,1482,1466,1514,1599,1584,1426,1925,1620,1630,1496,1558,1535,1596,1626,1573,1553,1681,1706,1657,1650,1683,1540,1631,1572,1704,1660,1598,1644,1767,1672,1581,1676,1575,1603,1781,1654,1546,1567,1601,1525,1532,1563,1656,1927,1537,1600,1625,1484,1434,1527,1471,1453,1421,1549,1452,1355,1549,1352,1454,1378,1353,1256,1397,1205,1287,1278,1210,1198,1137,1070,1051,1093,918,915,787,873,736,769,675,604,644,627,500,509,486,420,351,335,315,362,359,327,290,245,232,230]
[22,26,40,30,40,48,50,48,64,86,84,84,162,196,203,259,235,322,368,382,433,437,478,482,578,567,865,771,870,885,916,936,993,1161,1132,1164,1229,1264,1410,1365,1504,1446,1495,1532,1444,1476,1503,1591,1573,1618,1610,1708,1610,1480,1571,1522,1551,1799,1784,1789,1727,1581,1818,1971,1705,1650,1659,1660,1784,1862,1736,1622,1763,1664,1825,1609,1641,1794,1763,1754,1714,1719,1708,1649,1700,1769,1775,1819,1673,1756,1684,1715,1653,1555,1603,1619,1613,1674,1698,1713,1915,1642,1679,1595,1576,1567,1638,1599,1620,1615,1515,1545,1546,1442,1518,1402,1402,1496,1462,1366,1254,1256,1256,1132,1147,1162,1101,1001,979,862,829,705,656,655,664,599,586,463,587,500,442,380,381,338,277,317,242,287,210,213]
[34,26,52,40,36,62,50,70,58,84,98,180,183,185,178,245,273,360,403,412,445,484,565,542,691,746,784,842,1056,901,1061,1161,1242,1183,1158,1352,1397,1495,1489,1548,1507,1662,1674,1626,1604,1572,1675,1692,1932,1637,1689,1705,1883,1688,1733,1663,1763,1876,1775,1787,1943,1828,1776,1981,1797,2097,1862,1966,1897,1871,1832,1898,1865,1822,1798,1840,1903,1858,1800,1816,1921,2051,1860,1884,1849,1788,1921,1934,1918,1893,1812,1824,1884,1795,1839,1744,1765,1783,1927,1901,1927,1668,2219,1695,1622,1752,1681,1838,1713,1802,1646,1631,1711,1565,1445,1527,1523,1655,1535,1494,1447,1274,1269,1328,1278,1132,1153,1111,978,1046,884,780,737,702,691,561,505,540,507,423,573,391,361,354,283,346,320,251,201,243]
[32,38,44,30,40,52,42,58,74,84,74,158,142,196,186,228,313,370,325,394,516,496,518,687,759,858,809,969,1052,1126,1344,1184,1348,1223,1459,1348,1539,1582,1590,1721,1728,1842,1874,1685,1784,1808,1751,1928,1969,2024,1825,1862,1950,2056,1902,1964,1903,1867,1998,2109,2118,1930,2095,1984,2002,2021,1979,1986,2425,1957,2038,2094,2014,2001,2065,2043,2008,2016,1995,1993,2048,2079,2047,2016,1922,2058,2066,1952,2184,1963,1970,2022,1960,1944,1972,1913,1923,1949,2031,2004,2049,1964,1757,1844,1799,2143,1937,1796,1868,1793,1792,1885,1756,1796,1657,1632,1655,1630,1553,1618,1509,1450,1486,1422,1245,1283,1268,1089,983,936,871,891,769,807,682,691,637,583,527,517,484,408,442,335,305,354,328,261,281,194]
[36,34,36,62,60,48,68,68,96,198,130,156,144,263,239,273,328,415,423,497,507,530,722,741,708,812,912,1083,1103,1220,1265,1335,1274,1801,1560,1599,1746,1824,1710,1793,1913,2064,1815,2021,1922,1918,1995,2053,2226,2063,2025,2111,2000,2174,2227,2111,2148,2140,2227,2273,2207,2338,2263,2174,2185,2104,2271,2246,2245,2297,2197,2632,2263,2105,2290,2078,2217,2322,2200,2115,2166,2208,2226,2250,2234,2223,2199,2102,2256,2265,2177,2169,2284,1935,2210,1962,2138,2183,2185,2203,2092,2121,2149,2074,2186,2065,2023,2086,2471,1984,2050,2087,1971,1953,1842,1860,1878,1885,1810,1650,1597,1601,1618,1440,1391,1224,1285,1113,1152,899,1035,877,849,849,751,681,645,613,544,481,402,403,392,382,389,396,279,353,249,198]
[48,52,40,48,42,62,80,96,90,80,179,250,187,241,250,267,371,365,379,479,695,592,741,806,1000,1042,1027,1141,1230,1382,1443,1531,1471,1604,1673,2092,1772,1973,2116,2030,2122,2226,2112,2064,2123,2147,2202,2116,2175,2245,2321,2355,2198,2354,2360,2318,2155,2283,2404,2466,2391,2441,2403,2348,2410,2463,2262,2503,2486,2387,2698,2588,2875,2447,2346,2413,2479,2508,2286,2508,2417,2309,2518,2338,2520,2429,2297,2420,2379,2329,2376,2358,2186,2341,2427,2520,2376,2149,2227,2317,2313,2503,2190,2254,2114,2248,2260,2105,2045,2267,2340,2272,1982,2070,2090,2151,2015,1936,1869,1925,1862,1672,1643,1593,1486,1357,1308,1322,1132,1041,1057,865,1015,912,832,728,626,648,538,515,555,502,448,376,362,413,378,294,339,300]
[58,30,50,60,70,74,96,139,188,199,188,204,224,210,314,280,343,368,487,534,644,645,796,1007,928,1061,1254,1289,1412,1528,1567,1601,1764,1912,1821,1964,2008,2170,2580,2215,2283,2240,2299,2230,2367,2434,2471,2248,2313,2461,2530,2396,2441,2543,2623,2573,2447,2603,2592,2574,2627,2579,2553,2455,2432,2631,2646,2603,2590,2692,2735,2642,2546,2595,2652,3292,2798,2757,2700,2713,2591,2637,2641,2625,2475,2586,2513,2737,2485,2536,2687,2501,2615,2475,2501,2388,2549,2633,2583,2398,2508,2507,2373,2440,2436,2360,2458,2558,2410,2379,2414,2362,2762,2280,2198,2202,2314,1975,2103,2060,1999,1921,1823,1736,1589,1512,1509,1318,1280,1239,1063,967,997,873,833,722,655,741,557,503,438,525,534,395,399,392,361,308,343,338]
[38,38,38,46,62,68,56,50,76,94,184,221,258,182,194,368,341,365,435,434,633,870,820,863,1174,1180,1286,1514,1587,1655,1912,1962,1987,2046,2113,2313,2499,2501,2620,2534,2537,2433,2496,2376,2547,2568,2628,2675,2691,2796,2674,2786,2674,2795,2781,2803,2783,2905,3361,3046,2830,2754,2770,2765,2757,2798,3090,3026,3025,3036,2791,2971,2985,2779,2901,2903,2959,2979,2872,2970,2881,2809,2868,2737,2668,2679,2848,2734,2732,2807,2853,2755,2517,2691,2701,2753,3302,2735,2795,2834,2761,2752,2671,2661,2649,2522,2726,2661,2764,2634,2713,2448,2397,2452,2420,2420,2466,2395,2351,2261,2041,2040,1856,1861,1805,1710,1671,1514,1432,1218,1159,983,1028,1033,863,767,704,655,610,481,579,538,519,359,390,360,386,422,333,224]
[28,54,30,58,70,64,64,58,155,190,203,210,234,226,347,328,389,454,496,580,625,834,892,1045,1175,1371,1567,1980,1847,2116,2181,2279,2240,2215,2338,2581,2717,2871,2995,2975,2798,2974,2930,2772,2841,2925,2900,2861,3053,3220,3148,2936,3255,3156,2934,3141,3096,3099,3173,3381,3215,3195,3124,3070,3814,3227,3141,3153,3196,3471,3257,3294,3219,3258,3102,3359,3356,3326,3264,3398,3263,3336,3149,3116,3029,3222,3412,3239,3455,3160,3327,3196,3128,2967,3035,3073,3132,2923,3146,3094,3150,3616,2861,2972,2837,2943,3057,3055,3153,3073,2966,2976,2914,2928,2832,2675,2700,2839,2771,2577,2438,2261,2162,1914,1833,1822,1808,1636,1489,1343,1273,1171,1066,943,817,808,722,682,672,697,595,544,454,369,404,371,309,353,389,260]
[62,46,50,80,52,88,122,92,100,150,256,184,294,258,316,393,378,509,553,634,747,751,938,1099,1313,1455,1707,1903,2171,2410,2432,2499,2648,2712,2773,2879,3084,3249,3312,3264,3804,3097,3148,3070,3099,3153,3151,3464,3467,3526,3583,3521,3444,3217,3210,3327,3513,3777,3654,3695,3511,3412,3281,3561,3373,3451,3576,3698,3743,3939,3810,3659,3509,3477,3220,3545,3607,4212,3686,3684,3525,3490,3398,3431,3759,3547,3439,3521,3727,3552,3453,3405,3367,3135,3186,3385,3124,3421,3567,3615,3496,3339,3224,3120,3190,3344,3296,3367,3410,3496,3307,3245,3115,2993,2941,3053,2905,3310,3159,3039,2750,2939,2168,2015,2062,1951,1687,1617,1336,1290,1242,1154,1124,966,971,787,913,719,686,632,643,510,503,513,439,386,390,398,300,268]
[52,64,48,64,74,76,189,92,137,172,144,265,264,306,297,331,433,512,571,616,766,895,995,1055,1296,1661,1811,2053,2476,2727,2937,2802,2772,2909,2877,2979,3431,3439,3566,3785,3589,3440,3303,3197,3307,3166,3464,3655,3978,4666,4059,3675,3567,3459,3398,3473,3716,3909,4202,4208,3984,3628,3592,3445,3381,3515,3631,3901,4300,4024,4059,3817,3616,3493,3497,3608,3716,3846,4098,4264,3918,3669,3549,3445,3419,3531,4364,3872,4116,4004,3721,3697,3604,3357,3436,3426,3406,3627,3648,3841,3498,3474,3329,3261,3234,3342,3606,3415,3732,3838,3625,3547,3214,3100,3269,3198,3227,3400,3635,3508,3245,2930,2632,2408,2792,2114,1833,1812,1590,1492,1316,1192,1256,1074,972,917,791,785,782,695,676,564,519,473,486,478,327,323,324,344]
[66,72,56,50,52,60,98,94,156,207,168,263,240,296,326,486,419,443,609,653,797,810,1105,1203,1347,1597,1788,2529,2905,3363,3281,3222,3017,3056,3267,3108,3581,3990,4163,4424,4251,3666,3562,3319,3393,3343,3666,3883,4185,4526,4455,3991,4588,3496,3494,3463,3796,4047,4613,4623,4513,3876,3660,3522,3440,3733,3909,3991,4527,4632,4321,4078,3820,3666,3703,3685,3880,4196,4493,4682,4362,3951,3848,3489,3526,3643,3784,4022,4517,5676,4394,3916,3741,3351,3471,3545,3606,3829,4164,4404,3947,3667,3741,3410,3477,3424,3553,3974,4144,4384,3849,3811,3398,3228,3276,3484,3383,3798,4185,4100,3441,2944,2720,2691,2400,2108,2170,2129,1628,1416,1365,1202,1167,1139,978,978,855,753,799,636,618,653,604,469,488,481,306,347,383,339]
[58,64,80,72,80,100,92,161,191,177,263,297,287,318,318,431,380,563,733,635,710,972,1093,1327,1452,1757,2156,2933,3665,4110,4255,3726,3516,3156,3290,3311,3673,4205,4906,5228,4996,4471,3906,3616,3383,3628,3830,4086,4680,5084,4850,4522,4185,3783,3762,4526,3987,4370,5133,5302,5299,4416,4011,3671,3764,3888,3964,4290,5137,5245,4911,4523,3853,3911,3804,4039,4119,4575,5099,5393,4754,4552,3961,3675,3761,3754,4044,4502,5153,5351,5070,4340,4107,4403,3594,3798,3930,4181,4646,5054,4570,4273,3658,3472,3819,3757,3594,4241,4889,4984,4341,4060,3720,3601,3638,3475,3555,3889,4898,4516,3846,3426,2869,2782,2437,2390,2186,1934,1732,1725,1785,1376,1211,1155,926,906,782,817,802,758,614,586,509,496,530,414,395,370,290,348]
[38,46,86,68,78,151,159,198,250,215,197,272,241,346,316,438,467,557,544,737,830,1153,1105,1342,1585,1863,2410,3569,5506,5814,5596,5457,4126,3789,3453,3686,4066,5569,6760,6525,5814,5640,4587,3966,3808,3849,4182,4919,6185,6015,5946,5689,5123,4103,3993,3935,4124,5081,7778,6715,6215,5905,4599,4173,3872,4084,4380,5017,6389,6774,6003,5478,4921,4176,3968,4332,4312,5373,6663,6556,6227,5744,4607,4021,3957,4215,4264,5218,6449,6268,5684,5731,4838,4082,3797,3752,4839,4615,5426,5545,5178,4988,4225,3844,3670,3786,4165,4816,5746,5817,5673,5207,4164,3760,3629,3823,3920,4991,5905,5694,5168,4522,3537,2983,2681,2376,2222,2053,1851,1682,1585,1319,1313,1420,1076,955,776,799,725,770,641,606,593,505,395,410,373,409,297,316]
[48,50,76,68,82,100,162,144,256,176,248,227,345,354,352,512,561,558,690,757,847,908,1078,1375,2019,2110,2793,4158,7233,7686,7321,6484,4415,3697,3815,3730,4591,6559,8340,8060,7534,6467,5007,4135,3842,4119,4227,5878,7574,7665,7294,6653,4975,4470,4077,4339,4750,6226,8010,8130,7478,6834,6079,4364,4131,4074,4648,6235,7988,7983,6911,5986,4838,4271,4245,4194,4775,6412,7841,7954,7111,6221,5037,4276,4124,4267,4656,6566,8341,8129,7498,6575,5062,4264,3913,4075,4287,5243,6691,8243,6528,5836,4516,4109,3925,4163,4581,5612,7450,7741,7204,6390,4903,4065,3667,4087,4425,6281,7632,7185,6336,5041,3677,2998,2772,2603,2226,2096,1750,1663,1640,1554,1398,1224,1081,1091,1093,839,770,631,675,691,517,448,464,482,330,389,309,291]
[66,54,58,171,94,100,188,200,213,273,290,295,302,379,402,422,588,563,669,857,864,1067,1213,1427,1639,1822,2326,4627,5817,6698,6890,5723,4245,3616,3501,3697,4414,5424,7287,7278,6599,5675,4788,4299,3801,4154,4429,5503,6585,7406,7146,6128,4955,4393,4260,4114,4676,5755,6977,7683,7329,6420,5177,4460,5240,4241,4616,5650,7297,7460,7069,5643,4727,4413,4364,4351,4938,5884,7563,7787,6835,6165,4871,4527,4114,4443,4660,6167,7217,7776,7151,6079,4718,4415,4237,4243,4408,5169,6210,6831,6650,5444,5234,4118,4092,4145,4613,5484,7004,7053,6640,5690,4652,4081,3922,4093,4330,5709,6866,6846,5683,4758,3607,2994,2859,2715,2451,2080,1843,1660,1738,1471,1342,1293,1206,1043,925,848,798,880,582,570,579,517,509,505,386,440,331,310]
[44,58,72,80,68,70,210,155,217,266,212,303,334,345,417,498,566,613,711,797,921,957,1168,1514,1762,1946,2378,2555,3697,4462,6266,4302,3497,3427,3628,3544,3771,4267,5014,5642,5590,5146,4185,3999,3986,4017,3812,4491,5516,5645,5860,5119,4431,4174,4246,4169,4408,4568,5755,6126,6396,5445,4714,4323,4286,4180,4311,5675,5254,6341,5893,4950,4366,4330,4271,4371,4432,5133,5567,5851,5936,5134,4382,4187,4156,4074,4238,4623,5522,5701,6102,5198,4519,4329,4138,4074,4111,4568,4837,5858,5502,4894,4167,3997,4898,4090,4119,4628,5049,5851,5543,4803,4039,3900,3793,4019,3902,4650,4782,5380,4800,4108,3478,3143,3000,2710,2502,2286,1937,1931,1599,1427,1290,1178,1112,1061,828,953,813,724,651,685,669,501,467,504,492,365,326,298]
[66,42,70,96,82,88,149,141,170,233,214,246,289,429,451,442,485,690,780,740,897,1086,1240,1443,1766,2010,2242,2496,3002,3387,3891,3593,3153,3748,3363,3422,3496,3769,4139,4538,4510,4140,3651,3833,3758,3867,3845,4013,4457,4835,4865,4353,3992,4056,4155,4072,4143,4346,4815,5319,5055,4227,4260,4115,4281,4239,4016,4284,4689,4945,5781,4455,4100,4192,4259,4362,4152,4363,4823,5440,4905,4636,4253,4240,4046,4096,3985,4296,4628,4994,4637,4484,4109,3945,4032,4000,4104,4101,4576,4903,4564,4297,3966,4021,4084,3999,4183,4667,4663,4876,4369,4287,3789,3868,3911,3775,3854,3858,4183,4285,4102,3579,3354,3157,2918,2781,2356,2282,2074,1897,1726,1557,1501,1134,1217,1089,1049,868,860,824,699,570,693,596,489,528,475,378,286,418]
[58,80,86,66,197,170,88,234,213,259,281,272,336,333,474,477,561,722,673,706,1028,1094,1218,1530,1776,2053,2159,2407,2648,3147,3482,3233,3085,3285,3453,3652,4532,3730,4205,4127,3891,3919,3765,3813,3927,4025,3839,4119,4395,4602,4516,4324,3934,4236,4264,4456,4306,4236,4732,4787,4561,4265,4089,4238,4544,4439,4441,4313,4594,4833,4389,4311,4307,5200,4447,4447,4238,4290,4718,4968,4760,4376,4166,4331,4360,4384,4357,4279,4489,4613,4438,4256,4211,4253,4344,4241,4078,4258,4536,4420,4534,4253,4202,4145,4313,4131,4052,4175,4467,4558,5338,4046,3933,4038,4006,4041,3782,4095,4232,4225,4016,3502,3334,3189,3066,2725,2531,2279,2300,1812,1741,1639,1436,1199,1240,997,1029,921,921,883,765,737,567,590,539,499,410,435,399,247]
[64,74,44,172,80,137,200,155,177,274,268,333,340,433,378,507,510,556,745,837,957,1100,1305,1547,1836,2083,2307,2523,2752,3253,3326,3444,3210,3280,3948,3982,3840,3860,5180,4485,4197,4094,3902,4129,4163,4268,4158,4158,4598,4599,4638,4297,4194,4261,4457,4528,4498,4579,4621,4922,5291,5160,4346,4397,4597,4537,4416,4531,4819,4833,4592,4348,4481,4495,4535,4669,4498,4624,4788,4874,4941,4464,4334,4436,5684,4653,4564,4521,4664,4731,4745,4507,4279,4342,4413,4410,4510,4532,4501,4534,4438,4200,4000,4317,4365,4564,4374,4411,4706,4823,4593,4192,4196,4376,4400,4347,4198,4244,4279,4044,3808,3627,3923,3287,3063,2752,2572,2244,2153,1987,1615,1545,1448,1352,1236,1075,973,937,846,700,738,662,577,589,587,536,409,372,426,391]
[92,66,70,88,80,149,217,139,211,238,281,357,362,400,409,492,582,630,785,775,988,1039,1165,1667,1912,2255,2473,2457,3062,3462,3442,3480,3126,3333,3940,4027,3908,3994,4340,4560,4398,4056,3807,3848,4398,4529,4193,4190,4682,4801,5617,4461,4196,4130,4551,4559,4246,4506,4868,5123,5014,4345,4442,4476,4568,4519,4567,4740,4664,5156,4845,4531,4314,4386,4474,4670,4462,4493,4784,5108,4979,4638,4422,4409,4712,4747,4484,5559,4762,4890,4932,4491,4302,4241,4447,4590,4548,4475,4739,4666,4891,4400,4379,4307,4353,4638,4350,4596,4567,4813,4818,4531,4173,4187,4429,4613,4396,4062,4382,4386,4194,3732,3648,3347,3396,3510,2699,2403,2169,1919,1817,1497,1454,1382,1179,1017,994,909,887,813,684,702,612,566,527,510,502,510,434,320]
[88,136,80,100,244,179,262,185,305,300,352,300,480,458,574,585,623,774,872,1071,1232,1442,1717,2092,2295,2624,2771,3414,4120,3803,3488,3196,3471,3867,4103,4250,4287,4652,5009,4685,4141,4075,4086,4275,4498,4238,4557,4573,5347,5144,5093,4353,4438,4559,4764,4399,4593,5103,5654,5195,4935,4483,4435,4507,4729,4596,4720,5198,5513,5336,4726,4457,4405,4508,4831,4553,4627,5121,5482,5078,4854,4518,4455,4642,4724,4740,4595,6062,5655,5161,4814,4555,4635,4724,4554,4460,4705,5227,5448,5210,4705,4341,4463,4502,4635,4518,4682,5153,5314,4942,4569,4315,4333,4621,4463,4307,4343,4740,5160,4604,4116,3660,3648,3589,3685,2731,2548,2326,2081,1843,1572,1487,1454,1194,1143,1136,902,980,821,860,685,688,581,520,555,387,444,385,400,323]
[56,78,90,92,199,167,187,167,251,276,358,298,293,428,422,522,552,631,795,836,1052,1279,1305,1464,2034,2309,2586,3170,4199,4788,4773,4354,3701,3657,3870,3933,4157,4596,5143,5607,5406,4878,4161,4030,4388,4599,4406,4755,5129,5748,5394,4857,4376,5054,4523,4584,4621,4736,5874,5948,5818,5219,4647,4687,4598,4816,4627,4956,5684,5979,5865,5362,4613,4519,4605,4720,4623,4994,5768,6058,5775,5031,4661,4604,4615,4664,4648,4933,5542,6085,6887,5229,4603,4433,4812,4682,4706,4983,5460,6084,5738,4944,4645,4614,4739,4698,4689,5136,5680,5915,5430,5065,4670,4199,4430,4407,4265,4722,5617,5735,5307,4466,4073,3719,3583,3340,2880,2990,2351,2050,1856,1627,1535,1479,1195,1250,1101,981,924,790,828,671,723,611,548,451,456,459,415,403]
[64,80,60,78,188,165,133,192,186,265,329,350,354,363,419,519,703,758,865,932,1127,1247,1421,1589,2004,2363,2841,4346,5938,6312,6335,5974,4680,4130,4049,4226,4526,5389,6546,7094,6508,5980,5068,4462,4601,4469,4655,5063,6396,6298,6298,5703,5356,4579,4452,4887,5961,6185,7578,7129,6799,6376,5355,5207,4719,5034,4909,6067,7211,7477,6888,6104,5656,4865,4607,4827,5003,6078,7278,6997,6809,6147,5303,4823,4948,4676,5104,5801,6809,6891,6717,5914,5201,5480,4695,4905,5116,5888,6957,7019,6498,5722,5130,4574,4662,4859,5275,6016,6761,7023,6622,5932,5085,4635,4713,4774,4909,5847,6784,6768,6003,5344,4306,3801,3632,3316,2910,2653,2410,2146,2291,1768,1684,1447,1314,1192,1113,912,934,868,797,658,627,577,535,541,466,514,416,301]
[48,46,155,98,177,221,210,226,201,247,288,319,348,333,445,527,588,658,797,884,1114,1402,1419,1569,1960,2213,2760,4681,6786,7209,7332,6881,5338,4231,4009,3914,4423,5657,7242,7926,7269,6700,5576,4799,4266,4372,4618,5186,6470,7355,6997,6239,5115,4565,4451,4574,5005,6197,7865,9676,7682,6695,5870,4896,4593,4540,5025,6527,8090,8259,7829,7074,5706,5224,4868,4680,5059,6383,8002,8229,7370,6304,5535,4930,4715,4523,5016,6312,7679,8165,7659,6639,5510,4772,4620,4687,6068,6488,8135,7801,7464,6536,5361,4742,4490,4558,5444,6843,8351,8271,7332,6512,5470,4783,4340,4615,5124,6364,8184,7876,7090,6063,4777,3799,3563,3178,2852,2525,2186,2197,1826,1776,1728,1511,1639,1253,1090,1022,949,876,819,702,663,590,470,510,505,459,466,335]
[72,60,88,135,214,178,198,227,275,269,264,345,398,434,351,563,643,687,882,948,1133,1225,1419,1668,1889,2827,3063,4804,6089,7003,6813,5407,4107,3824,4020,4133,4573,5545,6692,6993,6943,5888,5120,4319,4425,4531,4689,5201,6104,6887,6413,5664,5014,4672,4629,4534,5209,5700,6749,7520,7129,6276,6090,4652,4516,4867,5222,6416,7732,7227,6983,5918,5191,4777,4739,4803,5432,6084,7319,7290,6836,5928,5103,4800,4624,4818,5455,5900,7337,7411,7028,6084,5147,4736,4716,4711,4989,5988,7069,9047,7078,5979,5110,4684,4603,4755,5149,6503,7493,7278,7013,5959,5069,4753,4705,4807,4890,5921,7322,7371,6499,5299,4320,3715,3487,3152,2913,2555,2320,2088,1727,1648,1590,1519,1356,1280,1330,1082,1032,816,818,736,670,567,548,462,503,461,387,382]
[98,64,84,191,162,198,192,206,294,221,284,344,369,377,500,557,627,680,786,902,1083,1299,1433,1701,1961,2089,2418,3642,4142,4983,5281,4459,3626,3658,3604,4112,4223,4562,4950,5629,5605,5077,4350,4161,4307,4352,4657,4501,5052,5616,5631,5164,4604,4410,4523,4676,4908,4957,5491,6195,6090,5677,4793,4527,4574,5678,4852,5400,5737,6043,5989,5077,4456,4409,4573,4754,4796,5299,5692,5996,6012,5420,4576,4503,4525,4479,4827,5102,5497,6222,5923,5578,4914,4488,4400,4653,4698,5160,5324,6055,6207,5572,5545,4303,4474,4530,4792,5171,5455,6066,6048,5172,4488,4289,4284,4280,4248,4872,5391,5917,5711,4665,3898,3654,3360,3202,2815,2561,2377,2050,2037,1813,1514,1440,1187,1183,1106,1004,944,1025,813,808,723,572,591,536,498,449,366,416]
[84,70,173,88,190,203,199,219,279,312,242,292,356,424,481,474,627,679,852,976,1062,1258,1434,1568,1804,2152,2395,2620,3139,3680,3954,4378,3274,3332,3514,3824,3847,4277,4574,4865,4928,4527,4083,4118,4353,4334,4312,4501,4541,5089,5018,4565,4400,4445,4177,4545,4551,4509,5127,5212,5368,4961,4505,4457,4453,4708,4679,4566,6016,5474,5240,4797,4489,4362,4396,4419,4664,4745,5015,5422,5004,4741,4482,4545,4473,4470,4451,4727,5047,5173,5380,4732,4418,4458,4541,4636,4629,4713,5156,5605,5264,4854,4351,4155,4276,5462,4501,4625,4944,5422,4851,4469,4459,4348,4062,4166,4193,4436,4679,5001,4559,4079,3906,3673,3403,3148,2915,2576,2356,2151,1886,1665,1577,1477,1387,1183,1208,1101,1066,929,766,778,835,681,541,553,505,465,440,344]
[84,94,82,123,209,164,218,228,158,253,323,377,382,477,517,624,627,696,771,868,1056,1187,1471,1715,1929,2063,2228,2392,2801,3346,3503,3326,3371,4184,3813,4114,3908,4331,4510,4486,4528,4140,4092,4148,4201,4273,4432,4379,4667,4882,4985,4668,4410,4583,4674,4605,4542,4589,4929,5005,4898,4781,4692,4481,4513,4802,4773,4698,4873,4966,5077,5618,4584,4495,4674,4602,4689,4930,4932,5075,4885,4630,4532,4732,4711,4776,4680,4704,4793,4933,4836,4603,4625,4737,4505,4763,4630,4653,4928,5032,4986,4852,4466,4504,4655,4779,4564,4685,5844,4914,4903,4589,4508,4358,4484,4371,4328,4354,4286,4353,4036,3913,3547,3438,3331,3179,2648,2466,2321,2224,1915,1827,1658,1440,1289,1180,1112,1043,982,907,783,811,702,616,548,543,508,426,395,418]
[68,84,84,164,154,165,161,206,225,256,279,350,393,422,561,597,541,752,779,884,971,1260,1396,1632,1889,2118,2155,2595,2888,3306,3578,3215,3221,3456,3969,4109,4984,4257,4315,4441,4543,4182,4063,4065,4492,4576,4440,4569,4617,4844,4770,4741,4254,4501,4700,4832,4646,4784,4980,4955,5109,4932,4659,4751,4650,4784,4484,4582,4615,4821,4991,4761,4404,4637,5602,4661,4861,4752,5091,5150,5196,4907,4570,4881,4882,4809,4772,4895,5042,4868,4713,4648,4551,4729,4704,4838,4567,4712,4939,4972,4910,4841,4433,4543,4822,4529,4526,4785,5094,4744,5036,5699,4357,4520,4510,4622,4278,4373,4495,4408,4304,3803,3497,3552,3432,3041,2826,2751,2426,2061,2003,1736,1525,1573,1444,1262,1190,1045,933,921,800,749,665,670,585,511,520,416,497,403]
[76,84,92,186,176,193,166,197,259,311,321,312,378,413,552,555,640,744,856,886,1197,1191,1291,1678,1950,2233,2487,2363,3088,3463,3721,3516,3247,3621,3745,4204,4222,4239,4675,5692,4607,4201,4113,4190,4362,4497,4718,4645,4845,5213,5028,4574,4393,4425,4632,4701,4725,4772,5041,5067,4952,4758,4464,4662,4775,4952,4736,4571,4816,4861,4915,4681,4516,4595,4719,4864,5675,4950,5007,5113,4803,4746,4645,4815,4891,4967,4556,4657,4990,5264,4858,4807,4458,5181,4894,4909,4696,4927,4968,5101,4895,4711,4543,4905,4857,4791,4635,4754,4921,4976,4979,4438,4596,4586,5607,4496,4441,4517,4565,4641,4188,3634,3585,3771,3494,3185,2983,2743,2238,2105,2063,1731,1628,1519,1306,1254,1207,920,909,920,875,771,716,688,638,551,479,469,434,375]
[92,114,84,182,164,262,187,207,285,228,324,331,383,416,434,548,685,741,789,907,1072,1215,1447,1740,1921,2408,2519,2804,3405,3936,4005,3599,3364,3303,3818,4025,4152,4386,4745,5212,4916,4142,4854,4371,4485,4354,4527,4662,5080,5263,5359,4731,4397,4269,4638,4626,4664,4992,5048,5495,5203,4885,4714,4905,4774,4670,4815,4791,5162,5474,5138,4687,4555,4582,4873,5008,4878,4869,5218,5403,6273,4856,4867,4767,4997,4691,4779,5066,5454,5370,5471,4821,4667,4584,4816,4975,4980,4917,5311,5647,5347,4874,4752,4623,4729,4673,4823,4887,5306,5474,5336,4756,4313,4508,4525,4562,4575,5538,4773,4909,4635,4037,3703,3846,3579,3293,3097,2449,2409,2234,2136,1769,1624,1431,1408,1311,1129,1058,937,801,794,718,707,696,563,495,482,457,468,408]
[84,94,212,96,213,165,249,235,308,278,386,379,391,463,458,527,642,763,791,1006,1131,1308,1553,1757,2049,2402,2805,3419,4236,4666,4443,4011,3421,3564,3783,3998,4236,4657,5604,5855,5273,4653,4438,4213,4516,5502,4674,4993,5605,6198,5457,5094,4759,4334,4646,4669,4648,5029,5916,6060,5842,5258,4517,4613,4622,4679,4839,5070,5735,6221,5466,5148,4746,4679,4587,4741,4926,5306,5612,6011,5700,5294,4759,5845,4784,4861,4816,5229,6068,6246,5697,5118,4813,4831,4862,5014,4760,5377,5847,5904,5591,5414,4718,4852,4966,4917,5092,5359,5790,6008,5432,5023,4654,4690,4596,4675,4748,5007,5837,5833,5993,4346,3997,3791,3716,3358,2931,2788,2444,2239,2194,1896,1690,1552,1419,1347,1149,1047,1036,954,767,763,735,652,571,586,551,424,427,354]
[78,190,142,132,221,185,171,226,235,298,272,463,386,452,543,610,590,825,857,1026,1132,1347,1491,1897,2301,2521,2927,4287,6043,6196,6175,5292,4400,3967,3863,4230,4673,5965,6931,7389,6442,6060,5111,4644,4808,4578,4895,5748,8416,7153,7098,6171,5004,4761,4582,4746,4842,5697,7010,7195,6856,5850,5328,4460,4852,4944,4907,5897,6844,6752,6269,5658,5033,4845,4904,5146,5096,5770,6786,7042,5899,5882,5099,4811,4735,5980,5195,6338,6912,7063,6315,5827,5145,4748,5002,5027,5211,6432,7192,7258,6574,5924,5241,4933,4965,4967,5326,6149,7220,7148,6314,5803,4957,4634,4908,4692,5177,5799,6570,6811,5893,5290,4339,4718,3804,3483,2989,2684,2511,2223,2066,1950,1810,1642,1540,1365,1103,1113,950,894,839,756,690,624,547,474,484,489,383,370]
[90,90,203,198,150,257,258,208,311,318,383,394,397,504,536,555,646,785,841,1099,1113,1416,1617,1908,2191,2351,3305,4997,6871,7515,7322,5838,4293,4012,4228,4266,4920,6819,7702,7941,7257,6308,5285,4751,4565,4798,5040,6287,7605,8145,9167,6595,5270,4724,4515,4734,5139,6410,8056,7926,7225,6481,5158,4863,4633,4910,5456,6376,7726,7732,6986,5830,5086,4735,4771,4991,5367,6392,7746,8133,6992,6226,5410,5074,4801,5440,5567,6707,9527,7713,7113,6042,5158,4873,4667,5207,6214,6977,7989,8065,6948,6016,5511,4868,5055,4890,5824,7069,8280,7608,6972,5883,4923,4472,4707,5057,5651,6737,8200,7779,6585,5453,4190,3887,3695,3888,3031,2747,2347,2256,1988,1863,1764,1674,1398,1350,1223,1006,973,993,826,737,681,658,636,517,432,407,393,342]
[110,167,177,201,239,166,154,243,267,300,329,396,402,445,579,578,810,826,914,1040,1254,1346,1601,1841,2065,2349,2780,3993,5218,6421,6688,5403,4213,3672,3950,4263,4774,5474,6657,7056,7227,6226,5199,4776,4466,4666,4834,5636,6668,7280,6825,6189,5209,5562,4532,4965,5189,5676,6672,7594,6999,5844,5256,4916,4829,5123,5085,5643,6522,6915,6585,5636,5326,4536,4918,5128,5359,5845,6796,7082,6762,5930,5340,4969,4812,5159,5390,5935,6750,7402,6743,7165,5095,5006,5132,5167,5360,6313,7080,7007,7148,6059,5316,4743,4882,5243,5320,6293,6929,7131,6953,5664,5194,4751,4537,4822,5093,5389,6762,7043,6541,5551,4443,4059,3520,3521,3133,2905,3030,2228,2102,1953,1732,1523,1457,1361,1186,1223,1082,918,940,743,676,583,598,580,521,445,439,365]
[82,88,191,208,149,206,273,240,247,264,359,370,374,502,512,571,659,727,868,1260,1087,1461,1565,1644,2029,2295,2522,2989,3650,4668,5009,4379,3752,3638,3675,4056,4337,4461,5133,5917,5847,5397,4895,4322,4577,4560,4597,4765,5382,5872,6045,5438,4946,4433,4570,4638,5647,5107,5538,6193,5830,5553,5032,4483,4499,4748,5168,5087,5215,5673,5880,5498,4761,4747,4688,5119,4912,5240,5709,5869,5880,5604,4914,4691,4812,4786,4900,5215,5354,5863,6013,5405,4825,5804,4829,4989,5013,5312,5542,6095,5989,5364,4729,4840,4677,4916,4982,4886,5656,6170,5937,5342,4862,4544,4649,4507,4532,4543,5438,5546,5422,4617,4192,3634,3652,3557,3087,2932,2705,2244,2195,2194,1742,1573,1480,1357,1213,1162,1048,968,891,812,710,727,648,619,561,529,437,457]
[203,96,124,244,169,159,233,253,228,289,369,305,398,448,531,568,691,863,940,1083,1293,1357,1855,1884,2175,2207,2334,2891,3192,3788,3655,3631,3361,3297,3725,3866,4106,4182,4438,4783,5032,4606,4390,3813,4067,4303,4494,4441,4904,5153,5031,4548,4509,4446,4667,4519,4803,5000,5131,6673,5300,4967,4492,4680,4635,4767,4926,4986,5162,5321,5159,5136,4595,4747,4567,4972,4939,4854,5216,5338,5165,5052,4931,4662,4733,4774,4826,4819,5252,5332,5286,4925,4786,4693,4576,4727,5789,5001,5346,5576,5303,4801,4748,4771,4852,4754,4769,4868,5309,5185,5250,4794,4471,4467,4619,4394,4582,4580,4527,5090,4461,4088,3968,3638,3471,3337,3114,2647,2491,2323,2019,1832,1788,1444,1689,1457,1271,1141,961,1029,786,711,692,735,545,534,484,546,404,436]
[100,100,119,160,238,193,196,304,299,318,309,367,454,425,486,618,664,677,874,998,1258,1331,1560,1870,2445,2257,2314,2753,2962,3402,3456,3524,3482,3586,3842,4053,4180,4289,4447,4617,4564,4326,4268,4248,4363,4568,4532,4498,4737,4890,4865,4702,4583,4500,4546,4751,4772,4885,5100,5377,4979,5812,4592,4608,4695,4900,4904,5067,5180,4982,4966,4649,5009,4810,4657,4841,4861,5044,5227,5361,5037,4847,4796,4752,4835,4756,5048,5064,5313,5131,5357,4740,4932,4834,4911,4888,4856,5050,6142,4994,4894,4899,4937,4917,4781,4738,4699,4931,4922,4966,5001,4929,4636,4752,4510,4513,4563,4506,4650,4546,4205,4218,3708,3452,3560,3364,3058,2763,2678,2168,2034,1859,1824,1425,1461,1314,1426,1264,1049,931,854,839,746,620,683,570,562,468,481,418]
[187,96,203,196,189,157,267,236,306,370,324,349,469,548,552,705,628,701,847,975,1166,1496,1510,1761,1922,2280,2539,3195,3244,3322,3703,3355,3444,3882,4238,4287,4206,4355,4735,4573,4690,4267,4125,4543,4467,4591,4764,4788,5163,5051,4825,4787,4617,4471,4688,4897,5033,4904,5180,5375,5034,4987,4813,4922,5909,4852,5031,5085,5172,5217,5156,4955,4641,4727,4735,4932,4961,5101,5358,5392,5195,4941,4834,5105,4940,5039,4986,5096,5459,5160,5400,5187,4907,4831,4942,5168,4799,5079,5280,5396,5125,5970,4851,4952,4842,4798,4845,4770,5125,5076,5111,4965,4625,4771,4591,4636,4577,4662,4565,4543,4209,4291,3863,3496,3447,3235,3106,2901,2530,2246,1992,1835,1643,1485,1400,1308,1173,1183,1107,1132,943,826,821,651,661,564,506,522,373,408]
[96,179,196,209,150,251,202,291,198,258,359,365,382,470,524,628,741,779,834,1082,1247,1405,1548,1896,2223,2353,2402,2893,3163,4448,3632,3401,3410,3752,4060,4242,4265,4538,4758,4751,4575,4098,4024,4331,4510,4671,4533,4879,5039,4885,4868,4641,4563,4640,4525,4790,4989,5035,5355,5274,5253,4886,4661,4719,5006,5105,4895,5969,4944,5301,5090,4999,4691,4597,5864,4835,4876,5073,5116,5359,5274,4785,4959,5027,5134,5092,4989,5378,5401,5313,5022,4968,4879,5043,4976,4898,4970,5090,5321,5317,4967,4777,4537,4885,4951,4981,4968,5103,5135,5218,5002,4734,5755,4585,4718,4583,4440,4652,4721,4536,4455,4018,3923,3724,3498,3184,2911,2750,2716,2164,1954,1786,1594,1474,1368,1360,1347,1125,1044,1022,815,814,705,677,643,592,484,476,432,480]
[90,218,188,136,143,172,242,277,283,338,406,469,457,539,589,742,743,911,1069,1165,1278,1504,1790,1944,2357,2509,2872,3262,3772,3839,3777,3547,3406,3527,4084,4232,4133,4672,5106,5231,4827,4333,4438,5261,4824,4631,4953,5136,5565,5504,4992,4619,4816,4659,4845,4935,5182,5259,5581,5889,5250,4689,4924,5007,5145,5055,5155,5333,5786,5898,5358,5091,4966,5102,4910,4991,5042,5460,5587,5716,5454,6056,5142,5162,5038,5057,5004,5303,5852,5785,5178,4765,4934,4841,5133,5017,5175,5438,5748,5495,5072,5010,4874,4793,5054,4757,4840,5474,5899,5566,5022,4700,4736,4771,4729,4559,4707,5006,6319,4821,4439,3967,3956,3938,3614,3164,2969,2611,2403,2261,1976,1959,1762,1623,1406,1313,1178,1086,927,913,799,786,726,679,576,594,489,531,427,413]
[171,144,211,241,212,151,212,224,259,356,364,367,471,485,610,600,748,823,819,991,1317,1455,1764,1822,2237,2632,2874,3630,4371,4846,5098,4419,3794,3540,3935,4395,4345,5072,5785,6184,5619,5091,4702,4416,4650,4884,5841,5410,6091,5964,5983,5301,4880,4802,4818,5038,5220,5764,6458,6311,6213,5380,4894,5011,5116,5297,5352,5663,6367,6526,6241,5328,5051,5041,4959,5228,5169,5474,6235,6457,6258,5661,5019,5930,5097,5148,5064,5687,6420,5958,5756,5321,4900,5056,5175,5271,5210,5807,6463,6122,5666,5446,4996,5040,4838,5084,5348,6049,6577,6387,5723,5451,4734,4929,4836,4719,4926,5313,5922,5983,5354,5836,4044,3945,3567,3486,3181,2836,2437,2303,2222,1932,1899,1737,1403,1449,1243,1197,1112,983,879,821,693,687,616,563,599,542,499,398]
[98,88,141,154,215,193,169,265,293,244,287,489,496,542,582,607,733,917,978,1216,1243,1352,1600,2032,2269,2691,3241,4720,5960,6628,6795,5502,4203,3989,4055,4259,4768,6034,7021,7206,6437,5969,5087,4809,4788,4854,5059,6347,7598,8990,6846,6025,5085,4950,4905,4905,5728,6934,7833,7585,7144,6655,5539,5467,5103,5184,5620,6923,8034,7640,7066,6632,5554,5339,5201,5237,5982,6677,7657,7602,7020,6328,5606,5035,5176,5156,7118,7113,7527,7431,6778,6187,5457,5298,5056,5390,6002,7053,7637,7480,6925,6037,5328,5285,5264,5349,6127,7035,7991,7645,6783,6334,5233,5235,4958,5273,5114,6404,7528,7286,6551,5603,4445,4111,4590,3541,2993,2879,2685,2272,2165,2068,1792,1680,1621,1371,1191,1032,1077,945,828,820,724,593,614,554,480,463,498,451]
[86,176,247,115,205,248,207,323,185,300,346,497,449,467,519,815,737,882,997,1044,1289,1502,1783,2004,2176,2488,3450,5384,6790,7623,7700,6355,4847,4201,4070,4363,5000,6585,7908,8239,7888,6896,5815,5227,4743,5023,5472,6630,8507,8548,7843,6802,6749,5171,5028,5343,5919,7611,8997,8415,7875,6889,5861,5403,5222,5165,6061,7298,8658,8835,8026,6955,5958,5118,5035,5389,5838,7062,8597,8381,7629,6850,5870,5555,5148,5521,6174,7296,8630,8281,9091,6780,5668,5115,5042,5585,6449,7719,8892,8607,7789,6469,5784,5290,5262,5594,5979,7373,8676,8375,7873,6820,5957,5755,4816,4965,5575,6967,8668,8820,7513,6250,4863,4180,4061,3584,3418,3273,2711,2350,2212,2131,1841,1652,1534,1321,1269,1193,939,950,971,821,683,654,621,548,449,481,365,460]
[128,84,213,142,190,234,290,301,313,249,403,422,467,488,547,599,734,788,1088,1072,1227,1330,1535,2008,2058,2367,2896,4149,5501,6442,6683,5396,4317,3958,4080,4191,4722,5640,6754,7390,7243,6146,5177,4466,4702,4862,5146,5573,7168,7179,6872,6174,5635,4878,4853,5817,5458,6184,7427,7378,6993,6517,5566,5088,4964,5296,5561,6489,7498,7655,7136,6436,5423,5197,4946,5267,5426,6264,7374,7273,7030,6221,5491,4997,5064,5215,5360,6327,7314,7445,6997,6408,5276,6109,5021,5250,5653,6506,7558,7507,6786,6266,5333,5082,5086,5460,5611,6423,7294,7595,6947,6218,5310,4770,4807,4984,5124,6179,6989,7532,6689,5693,4294,3877,3535,3386,3188,2911,2660,2273,2599,1914,1786,1625,1487,1301,1185,1116,966,961,787,741,673,719,714,502,587,482,479,337]
[172,193,140,193,228,164,266,297,285,315,359,373,518,597,637,670,741,777,918,1171,1229,1703,1708,1975,2143,2333,2686,2985,3912,4969,5280,4303,3639,3567,3970,4004,4146,4701,5312,5934,6079,5100,4632,4149,4447,4858,4766,5123,5548,5937,5966,5291,4698,4501,4778,4873,4845,5423,6994,6171,6250,5313,5273,4878,5062,5067,5139,5384,5835,6437,6091,5355,5097,4847,4832,5006,5239,5530,5791,6279,6097,5556,5032,4983,4916,5091,5275,5803,5941,6333,6286,5682,5227,4886,4926,5116,6172,5693,5875,6319,6081,5719,5194,4954,5097,5000,5018,5683,5787,5944,5995,5281,4924,4660,4505,4721,4628,5083,5656,5960,5650,4617,4220,3991,3713,3505,3241,2915,2507,2515,2341,1909,1796,1967,1424,1293,1259,1196,1120,1014,875,849,727,619,617,546,507,512,459,467]
[100,94,186,195,169,260,216,284,318,345,346,334,430,566,552,741,704,884,1011,953,1226,1301,1626,1926,2557,2336,2474,2859,3356,4038,4049,3607,3461,3473,3612,3907,4261,4378,4816,5141,5021,4470,4379,4062,4282,4606,4591,4692,5141,5253,5368,4852,4573,4687,4888,4671,4927,5309,5456,5563,5681,6317,5113,4622,4742,4846,5021,5106,5586,5701,5552,5104,5104,4818,4856,4894,5208,5176,5460,5566,5396,5284,5006,4821,5105,5101,4975,5217,5439,5743,5429,5133,5144,5102,4836,5144,4930,5324,6659,5729,5562,5186,5087,4984,5032,5114,4968,5244,5552,5832,5362,4947,4860,4666,4665,4556,4580,4999,5258,5272,4962,4372,4097,3793,3750,3374,3154,2857,2654,2273,2159,2003,1714,1565,1471,1318,1422,1072,1075,940,893,656,725,710,668,658,587,501,446,446]
[110,189,137,177,239,182,250,290,364,394,356,354,453,562,620,715,819,898,970,1101,1338,1364,1679,2018,2119,2301,2443,3537,3151,3774,3719,3316,3472,3829,3948,4317,4251,4386,4705,4497,4612,4481,4268,4429,4482,4649,4669,4823,5021,5113,4851,4739,4758,4773,4843,4837,5034,5132,5477,5365,5192,4875,4759,4985,5984,5065,5041,5133,5458,5636,5290,5080,4976,4720,5243,5000,5065,5262,5121,5504,5268,5162,5101,5066,5118,4989,5226,5353,5457,5559,5354,5108,4958,5017,5017,5312,5253,5359,5396,5474,5292,6346,5048,5130,4950,5053,5098,5088,5245,5299,5156,5022,4879,4791,4725,4736,4541,4883,4964,5026,4533,4274,4049,3769,3632,3526,3213,3043,2575,2426,1998,1817,1680,1552,1452,1373,1205,1055,1305,979,886,847,715,679,642,564,527,468,472,379]
[124,185,220,171,195,221,208,266,322,318,427,446,446,533,627,732,747,867,979,1011,1342,1427,1672,1976,2229,2409,2477,2768,3388,4425,3707,3443,3689,3929,4082,4389,4260,4502,4836,4661,4689,4314,4460,4624,4740,4637,4656,5131,5009,5038,4900,4879,4702,4808,4865,4920,4802,5192,5520,5433,5258,5088,5036,4999,5045,5008,6273,5336,5382,5374,5350,5046,4983,5107,5196,5298,5196,5531,5384,5432,5330,5159,4767,5187,5023,5176,5207,5223,5309,5282,5226,5307,4921,5192,5097,5113,5040,5350,5463,5376,5337,5105,4974,5264,6263,5259,5190,5296,5077,5081,5392,5165,4993,4805,5152,5015,4958,4975,5076,4876,4565,4295,4068,3903,3666,3343,3221,2793,2560,2394,2131,1892,1750,1588,1348,1269,1157,1227,1184,966,961,1057,724,685,666,592,508,470,445,434]
[100,207,160,195,155,197,199,275,305,308,403,434,408,594,636,742,774,838,927,1232,1384,1538,1839,2084,2259,2489,2767,3190,3521,3779,3529,3321,4155,3843,4087,4347,4296,4687,4700,4761,4538,4303,4274,4700,4671,4779,4823,5124,5041,5047,5172,4843,4695,4785,4964,5043,5044,5269,5476,5482,5225,5162,4790,4949,5423,5373,5231,5326,5343,6614,5224,4944,4976,4949,5193,5091,5227,5411,5734,5471,5229,5202,4916,5033,5215,5037,5024,5370,5499,5469,5304,4906,4997,5271,5437,5271,5052,5522,5423,5585,5209,5067,5123,5193,5217,5340,5201,6398,5569,5467,5172,4957,4885,5056,5073,4801,4915,5325,5221,5135,4720,4112,4142,3841,3757,3475,3250,2805,2555,2339,2122,1806,1761,1573,1432,1316,1221,1117,1009,1000,907,931,768,683,816,552,481,519,437,399]
[132,126,219,199,234,262,280,283,378,362,347,388,478,532,631,712,780,887,1023,1217,1242,1367,1737,2080,2272,2520,2826,3242,3660,3813,3856,3585,3596,3822,4084,3982,5045,4678,5107,5286,4873,4297,4457,4566,4654,4727,4717,4866,5438,5604,5219,4881,5088,4716,4975,5302,5237,5345,5524,5778,5504,4982,5022,5065,5228,5160,5167,5580,5551,5795,5625,4979,4922,6189,5221,5159,5255,5451,5848,6351,5390,5413,5202,5324,5185,5393,5240,5341,5624,5710,5547,5317,4975,5168,5179,5298,5187,5609,6122,6036,5425,5223,5319,5222,5172,5322,5436,5560,6138,5853,6635,4941,4740,5002,5167,5006,5236,5512,5909,5368,4848,4365,4372,4334,3919,3403,3129,2746,2625,2372,2127,1955,1702,1517,1544,1354,1398,1115,970,914,926,750,799,607,606,609,460,525,526,363]
[168,136,152,185,223,244,223,256,346,377,368,362,484,475,623,708,717,870,963,1217,1379,1504,1708,2148,2302,2732,3124,3606,4509,4834,4797,4058,3632,3630,4035,4406,4234,5190,6092,7328,5290,4984,4558,4600,4691,4637,4683,5462,6085,6297,5549,5076,5073,4814,4954,5241,5324,5702,6540,6675,5942,5510,5090,4918,5171,5293,5321,6093,6888,6558,6304,5419,5303,4935,5094,5295,6457,5895,6634,6227,5961,5685,5332,5346,5302,5352,5416,5976,6709,6374,6256,5701,5659,5309,5419,5406,5570,6376,6775,6881,6222,5855,5445,5399,5899,5209,5792,6557,6926,6869,6233,5795,5379,6058,5289,5105,5643,6565,6905,6608,5882,5071,4502,4358,3996,3499,3220,3017,2726,2427,2143,2013,1812,1654,1517,1326,1152,1094,1036,973,939,824,731,748,600,568,592,498,467,382]
[183,191,234,171,298,282,333,271,386,368,395,452,533,550,679,673,821,949,1105,1252,1320,1547,1820,2129,2419,2783,3697,4760,6074,6384,6238,5182,4378,4066,4108,4508,5122,6853,8095,7130,8282,5928,4945,4861,4908,5165,5557,8400,7417,7157,6929,5806,5246,5248,5226,5435,5993,6998,7946,7638,7274,6538,5477,5242,5157,5408,5933,7202,8194,7567,6995,6446,5759,5064,5523,5729,5848,8889,8093,7001,7337,6418,5584,5226,5516,5600,6009,7355,7783,7448,6907,5929,5389,6102,5284,6021,7080,8154,8551,7670,7309,6644,5754,5450,5348,5910,6978,8349,8517,7334,7379,6360,5643,5326,6171,5946,7441,8536,8485,7365,6751,5660,4936,4493,4019,3591,3287,2876,2499,2336,2207,1911,1761,1712,1411,1289,1185,1108,1033,1027,798,799,639,573,508,592,474,457,342,413]
[122,227,254,139,249,264,266,302,316,393,499,426,440,519,579,700,783,984,1016,1078,1375,1574,1712,2162,2385,2904,3450,5143,7072,7539,7488,6038,4836,4310,4162,4506,5254,7417,9014,7984,7839,7979,5796,4907,4836,5060,6019,7643,8549,8518,7496,6348,5635,5403,4966,5637,6088,7676,8655,8133,7818,6804,5851,5283,5054,5720,6532,8094,9126,8462,7803,7035,5919,5436,5270,5687,6547,7910,10777,8434,7461,6616,5953,5446,5466,5659,6472,7837,9036,8831,8090,7071,5980,5431,5640,6033,7193,9212,9664,8975,7956,7243,6213,5678,5461,5924,7308,9249,10169,9194,8366,7454,6082,5599,5432,6047,8823,9875,10218,8514,7624,6424,5144,4431,4010,3778,3250,2992,2729,2594,2181,2121,1817,1636,1556,1384,1197,1249,1110,993,835,805,635,703,588,503,539,454,483,423]
[165,181,195,159,243,241,294,271,362,362,417,458,490,515,656,682,810,1011,1163,1371,1384,1671,1865,2079,2259,2823,3355,4823,5900,6507,6238,4602,4124,4088,4179,4523,5537,6596,7402,7156,6787,5883,5029,5689,4591,5122,5899,7194,7594,7337,6654,5860,5309,5066,5244,5601,6243,6927,7158,7487,6524,5977,5517,5143,5247,5628,6262,7218,7756,7589,6982,6017,5318,5269,5509,5314,6310,7171,7776,7460,7103,7335,5345,5415,5433,5661,6094,7257,7964,7562,6718,6081,5276,5389,5571,5878,6852,8007,8263,7853,7230,6372,5744,5431,5475,5791,7215,7786,8914,8036,7402,6518,5493,5299,5182,5640,6524,8362,10238,7639,6624,5488,4537,4349,3794,3534,3070,2900,2687,2266,2217,1933,1760,1618,1551,1325,1139,1128,934,977,848,769,855,612,643,614,422,485,409,486]
[143,158,236,261,220,181,293,236,269,466,456,388,531,536,663,701,842,895,1076,1222,1441,1672,1840,2147,2200,2586,2750,3348,3936,4636,4566,3849,3609,3358,3941,4197,4489,4955,5594,5904,5354,4954,4470,4397,4350,4651,5991,5458,5920,6193,5907,5060,4685,4753,4744,5160,5423,5857,6034,6198,5947,5314,4948,4989,5079,5222,5395,5989,6376,6402,5961,5652,5087,5140,4831,5367,5435,5868,6417,6769,6243,5495,5166,6086,5167,5247,5463,5995,6736,6927,6143,5384,5201,5167,5127,5269,5683,6392,6622,6975,6562,5626,5254,5039,5329,5481,5629,6380,6992,6911,6264,5302,4973,4974,5005,4895,5447,6169,6833,6788,6024,5693,4350,4141,3926,3699,3059,2780,2603,2255,2143,1917,1702,1553,1462,1498,1214,1136,1003,931,824,886,683,674,587,599,512,403,436,426]
[189,192,144,127,244,202,250,304,286,302,343,426,528,560,650,735,777,963,968,1141,1402,1461,1774,2067,2209,2535,2606,2928,3357,3824,3851,3466,3314,3576,3833,3848,4066,4486,4909,4852,4926,4436,4182,4459,4577,4571,4592,4981,5220,6643,5198,5050,4878,4619,5000,4810,5521,5247,5637,5888,5530,5018,5316,5085,4911,4904,5409,5441,5702,5796,5629,5173,5090,5018,4954,5004,5235,5363,5740,5937,5853,5240,5197,4903,5204,5227,6358,5397,5712,6006,5547,5263,5123,5027,5098,5196,5197,5462,5980,5972,5731,5346,5245,5141,5085,5139,5192,5426,5720,6069,5979,5135,4936,5093,4796,4715,5082,5248,5578,5622,5120,4515,4268,4633,3860,3537,3331,2932,2475,2285,2052,2069,1750,1723,1429,1417,1217,1157,1037,965,851,934,758,693,698,660,476,456,445,517]
[96,186,204,212,250,230,290,326,300,325,337,441,499,608,715,688,816,912,971,1206,1347,1575,1892,2107,2291,2418,2577,3026,3262,3471,3676,3273,3460,3753,4036,4168,4276,4418,4719,4927,4680,4559,4324,4505,4614,4801,4820,4815,4893,5059,5084,5048,5878,4862,4980,4983,5081,5363,5472,5521,5488,5161,4910,5045,5169,5212,5240,5371,5583,5606,5306,5124,5033,5171,5138,5150,5223,5631,5561,5719,5360,5136,5273,4966,5152,5045,5497,5372,5766,6810,5316,5252,5197,5090,5247,5229,5136,5476,5698,5498,5532,5195,5304,5269,5079,5298,5190,5414,5615,5765,5360,5221,4984,5036,5069,5078,4839,5043,5325,5018,4678,4461,4238,3979,3786,3576,3769,2832,2578,2471,2044,1903,1690,1607,1412,1316,1261,1196,1045,953,894,795,829,626,655,632,483,504,445,381]
[94,74,208,243,130,184,221,269,226,323,405,428,444,518,652,719,751,1013,964,1110,1330,1542,1895,2050,2361,2651,2629,3079,3472,3747,3759,3445,3443,3878,4174,4318,4440,4481,4855,4663,4677,4318,4307,4505,4701,4826,4745,5064,5257,5104,5007,5010,4874,4870,5030,6395,5034,5338,5660,5594,5328,5180,5052,5262,5274,5204,5413,5671,5570,5413,5504,5238,4941,5139,5398,5329,5265,5527,5706,5590,5483,5273,5182,5311,5302,5467,5274,5574,5912,6026,5569,5425,6252,5239,5273,5517,5553,5518,5767,5570,5467,5118,5190,5291,5538,5505,5183,5391,5571,5590,5531,5276,5108,5301,5312,5144,4982,5025,5224,4950,4400,4332,4186,4021,3663,3479,3296,2977,2674,2748,2167,2042,1848,1581,1507,1310,1273,1261,1031,976,887,828,705,725,581,483,587,437,540,445]
[90,149,199,160,256,254,294,348,282,352,300,421,451,565,571,718,721,844,992,1143,1656,1364,1699,2048,2423,2652,2769,3215,3604,3782,3807,3504,3452,4009,4151,4434,4174,4410,4776,5005,4498,4227,4266,4406,4615,4842,4954,4975,5423,5210,5294,5011,5073,4774,4984,5287,5043,5226,6930,5472,5331,5277,5050,5111,5322,5361,5406,5476,5482,5683,5361,5194,5136,4988,5164,5441,5299,5521,5688,5682,5646,5239,5064,5390,5460,5325,5185,5510,5660,5806,5776,5489,5368,5193,5425,6529,5233,5725,5445,5593,5493,5265,5241,5286,5431,5272,5411,5418,5839,5511,5647,4985,5006,5177,5238,4988,4925,5097,5347,5233,4832,4383,4463,4022,3896,3319,3303,3011,2618,2525,2229,1908,2107,1641,1572,1347,1263,1056,1129,915,884,853,799,773,664,561,606,497,453,462]
[171,195,139,203,151,261,253,329,345,346,382,463,512,455,592,686,833,974,1009,1258,1363,1434,1780,2534,2450,2923,3033,3645,4196,4573,4287,3670,3655,3732,4172,4438,4410,4632,5050,5257,5011,4327,4353,4643,4923,4971,4831,5043,5676,5575,5233,5012,4904,4910,4955,5307,5299,5766,6057,5946,6954,5283,5086,5311,5502,5255,5428,5808,6178,6014,5504,5203,5250,5394,5447,5454,5484,5845,6075,6032,5657,5295,5358,5290,5262,5550,5530,5908,6233,6171,5775,5473,5255,5571,5528,5410,5443,5585,7279,5986,5626,5392,5244,5349,5449,5508,5415,5726,6115,5952,5422,5258,5141,5077,5094,5086,4987,5277,5766,5421,4975,4299,4335,4325,3882,3551,3286,2907,2644,2404,2289,1925,1743,1585,1444,1660,1214,1107,1052,1001,879,723,716,639,673,508,548,556,459,384]
[164,192,236,233,279,233,300,307,366,399,425,459,532,581,590,695,847,949,906,1192,1357,1576,1887,2259,2520,2904,4299,4627,5315,5537,4889,4136,3730,3929,4206,4360,4612,5418,5981,5658,5189,4596,4555,4438,4880,5133,5284,5904,6400,6064,5853,5437,5125,5106,5093,5283,5588,6520,6926,6972,6515,5818,5324,6367,5330,5478,5656,6503,7012,6489,6043,5671,5357,5510,5340,5590,5789,6372,6776,6639,5732,5732,5251,5333,5443,5547,6018,6941,7255,6864,6095,5727,5443,5412,5562,5659,5973,6298,6686,6653,5895,6727,5237,5369,5284,5532,5937,6616,7033,6692,5889,5431,4988,4969,5278,5115,5395,6553,6528,6164,5268,4637,4330,4173,3813,3532,2899,2768,2743,2433,2186,2021,1775,1662,1516,1298,1203,1143,1267,854,915,829,728,584,578,602,547,451,376,463]
[164,191,213,171,211,204,301,286,309,342,403,485,563,546,655,725,827,914,1148,1228,1473,1553,1813,2109,2605,2985,4343,6303,7747,8813,7188,6046,4853,4218,4327,4492,5479,6920,7811,7186,6822,5527,5212,4826,4613,5199,5763,6997,7637,7427,6992,5892,5392,5453,5358,5657,6524,7815,8346,8057,7794,7005,5718,5658,5547,5598,7764,7864,8296,7570,7515,6455,5684,5482,5565,5828,6674,7997,8471,7681,7156,6465,5578,5452,5674,6021,7196,8758,8934,8292,7550,6768,5842,5810,5567,5760,6574,7554,7930,7758,6774,6155,5779,6725,5645,6129,7254,8793,8728,7671,7108,6501,5689,5490,5299,5693,6896,8364,8318,7105,6413,5469,4796,4242,3887,3647,3160,2932,2692,2430,2170,2025,1838,1601,1576,1499,1209,1073,987,839,835,911,811,617,618,469,480,413,365,401]
[192,239,188,201,189,218,262,325,324,297,509,451,480,534,649,699,809,953,1101,1189,1415,1625,1862,2063,2412,3192,4721,7335,9044,8165,7818,6667,6116,4454,4256,4706,5967,7845,8729,8145,7327,6087,5097,4757,4864,5151,6128,7623,8681,8345,7677,6816,5793,5225,5094,5835,6915,8565,9562,8861,8306,7208,6089,5516,5571,5733,6709,8394,9178,10015,7635,6479,5640,5637,5507,6051,7142,8506,8956,8365,7498,6705,5765,5628,5759,6264,7756,9914,10232,8761,8167,7391,6338,5597,5503,5941,7128,8643,9030,8494,7624,6516,5917,5512,5705,6178,9661,10026,10124,8911,7883,6953,5889,5500,5546,5953,7481,9309,9522,8175,7125,5447,4852,4038,3769,3604,2948,2868,2777,2307,2177,2045,1886,1802,1567,1472,1131,1146,1089,967,882,771,751,722,647,491,586,405,369,448]
[155,225,150,241,213,201,262,264,345,399,366,495,499,521,601,698,852,1004,984,1179,1481,1486,1882,2067,2413,2846,3894,5894,7253,7554,7024,5876,4843,4309,4463,5495,5278,6877,7634,7616,6713,5715,4893,4836,4913,4982,5934,6679,7711,7593,7036,5859,5260,5320,5249,5528,6413,7716,8620,8249,7664,6566,5974,5453,5533,5777,6150,7085,7990,7812,7309,6281,6875,5412,5654,5824,6096,7517,7827,7742,7217,6310,5743,5548,5613,6170,6905,8741,9116,8393,7661,6711,5991,5440,5494,5626,6300,7292,7714,7717,6866,6129,5504,5133,5688,5898,6930,7921,9212,10175,7451,6447,5434,5340,5423,5685,6449,7605,8459,7775,6613,5257,4460,4087,3836,3488,3412,2733,2553,2350,2206,2007,1821,1574,1520,1371,1250,1197,995,1038,926,834,679,687,558,563,549,447,368,386]
[191,182,199,197,204,257,213,297,282,428,475,480,468,633,594,769,800,897,974,1240,1380,1643,1961,2182,2380,2657,3214,4078,5041,6075,5561,4480,4020,4079,3989,4391,4600,4926,7181,6018,5651,5024,4647,4304,4770,4953,5281,5432,6425,6515,6313,5421,4928,4969,5077,5435,5655,5978,6675,7006,6917,5815,5314,5298,5174,5548,5679,6041,6487,6549,6554,5667,5237,5334,5233,6459,5699,6052,6596,6804,6244,5670,5318,5139,5458,5604,5661,6662,6992,7371,7054,6043,5460,5357,5302,5342,5765,5999,7088,7080,6407,5424,5416,5332,5273,5523,5772,6229,6987,7535,6900,5810,6298,4903,5156,4836,5294,5959,6287,6465,5585,4628,4237,4031,3869,3440,3202,3026,2592,2357,2247,1953,1812,1565,1523,1421,1287,1114,1128,1006,910,832,709,737,705,547,527,472,551,436]
[207,166,176,207,249,290,316,329,248,349,388,424,552,449,591,713,839,861,1027,1224,1440,1521,1763,2024,2415,2504,2852,3342,3804,4244,4390,3929,3564,3710,3764,4078,4135,4662,5105,5193,4804,5309,4448,4492,4619,4607,4897,4980,5351,5361,5291,4923,4778,4718,4916,5156,4973,5528,5658,5764,5774,5327,5174,5067,5075,5313,5230,5671,5830,5829,5764,5148,5234,5082,5216,5244,5106,5583,7099,5949,5619,5254,5148,5150,5231,5332,5565,5841,6103,6331,5803,5144,5006,5099,5138,5427,5401,5713,5980,5818,5487,5227,5063,4971,5058,5164,5302,5473,6047,5952,5715,5130,5095,4608,4784,5416,4859,5291,5388,5441,4741,4241,4155,3795,3653,3416,3085,2697,2439,2205,2023,1905,1688,1615,1451,1355,1285,972,952,997,919,808,661,614,634,538,513,450,386,378]
[213,207,98,257,190,271,284,359,325,351,425,460,517,517,735,722,871,967,1042,1178,1385,1492,1859,2071,2329,2529,2773,3061,3400,3930,3805,3651,3624,3849,4269,4418,4275,4524,4760,4812,4523,4472,4363,5501,4762,4722,5032,4898,5330,5032,5231,4941,4954,4999,5107,5115,5079,5449,5562,5573,5655,5198,5349,5237,5341,5342,5407,5488,5831,5744,5445,5200,5305,4980,5530,5550,5382,5632,5696,5692,5477,6589,5013,5356,5456,5428,5268,5759,5747,5783,5331,5311,5207,5224,5522,5173,5394,5490,5506,5706,5407,5304,4974,5172,5109,5315,5315,5474,5668,5505,5287,5227,5015,4982,5049,4883,4719,4912,6170,5039,4460,4200,3960,3857,3784,3373,3185,2763,2580,2318,2006,1965,1752,1625,1511,1364,1326,1085,1063,935,906,836,695,644,561,557,542,505,358,453]
[119,192,140,285,146,282,308,321,305,453,383,490,542,587,657,803,858,944,1051,1254,1453,1601,1809,2212,2418,2488,2746,3098,3479,3766,3710,3620,3812,4284,4571,4590,4572,4758,4796,4894,4646,4502,4543,4653,4757,4956,5921,4962,5091,4985,5108,4957,5054,4993,5159,5517,5230,5421,5481,5514,5446,5524,5244,5417,5449,5242,5696,5610,5775,5601,5616,5381,5126,5249,5447,5288,5455,5544,6049,5577,5282,5345,5179,6559,5418,5444,5471,5563,5973,5856,5599,5353,5358,5404,5465,5226,5518,5428,5743,5513,5350,5108,5276,5692,5603,5334,5400,5423,5582,5707,5552,5139,4946,4924,5035,5061,4897,4897,5294,4785,4483,4994,4024,3657,3518,3508,3209,2838,2545,2272,2096,1904,1618,1513,1490,1309,1135,1051,1090,946,850,809,727,649,608,587,582,450,391,380]
[92,173,168,175,210,241,307,315,389,360,371,419,589,553,710,748,872,899,1072,1233,1403,1550,1913,2132,2435,2534,2977,3202,3597,3906,3896,3576,3764,3982,4274,4654,4516,4793,5248,5097,4956,4624,4564,4729,4992,5237,4976,5138,5402,6392,5294,4936,4857,5003,5137,5370,5253,5483,5654,5410,5319,5162,5082,5338,5382,5255,5494,5661,5923,5724,5500,5364,5458,5419,5395,5483,5521,5612,5891,5688,5735,5472,5448,5390,5495,5378,6371,5814,5725,5803,5570,5415,5177,5473,5515,5587,5546,5542,5944,5836,5543,5289,5229,5133,5585,5337,5250,5287,5434,5646,5427,5186,5051,5110,5008,5082,4894,4974,4989,5050,4625,4149,4111,4801,3685,3466,3191,2795,2543,2151,2062,1886,1701,1543,1314,1272,1227,1112,975,976,887,821,739,612,581,560,504,452,445,425]
[161,216,174,241,267,307,246,285,285,322,381,426,441,502,611,871,919,889,1110,1240,1467,1580,1804,2141,2407,2674,3036,3568,4183,4449,4081,3677,3562,3733,4353,4484,4748,4979,5603,5639,5211,4695,4566,4693,4908,4980,5025,5296,5621,5800,5476,4902,5835,4915,5150,5434,5224,5516,6069,5973,5349,5221,4958,5222,5249,5402,5417,5776,6290,6136,5677,5251,5242,5446,5603,5251,5476,6041,6272,6111,5734,5552,5207,5114,5337,5664,5397,5775,6233,7474,5637,5228,5325,5284,5522,5421,5570,5820,6203,6247,5731,5249,5291,5475,5488,5257,5223,5643,6010,5959,5413,5242,4909,5034,5043,4892,4878,5494,5874,5421,4897,4267,4445,4253,3818,3371,3754,2862,2533,2219,2236,1916,1686,1471,1395,1201,1181,1067,964,834,868,810,650,659,626,500,555,444,431,392]
[208,169,182,242,212,276,254,270,391,360,349,512,525,492,759,749,876,1105,1146,1353,1450,1576,2082,2193,2543,2848,3580,4763,5357,5653,5173,4164,3777,3994,4426,4621,5270,6440,6957,6369,5847,5355,4949,4788,5105,5048,5566,6223,6670,6135,6054,5562,4951,5136,5235,6451,5675,6458,6731,6270,5923,5392,5073,5395,5573,5403,6150,6923,7245,6723,6196,5640,5640,5624,5642,5850,6198,6795,7017,6786,6299,5661,5721,5563,5387,5583,5950,6981,7446,7079,6361,6081,6428,5375,5547,5814,6106,6942,7185,6678,6287,5653,5489,5521,5406,5561,5724,6684,6778,6560,5878,5162,5166,5060,5070,5333,5727,7037,7300,6097,5309,4750,4359,4162,3673,3247,3074,2780,2527,2340,2396,1945,1736,1560,1390,1268,1109,993,1021,863,846,802,709,710,609,454,468,362,434,382]
[197,216,227,264,214,235,256,218,325,338,484,526,486,500,617,706,901,963,1004,1210,1434,1840,1928,2222,2494,3075,4201,6076,7093,6851,6953,5727,4588,4357,4396,4648,6147,7792,8474,7450,7057,6346,5634,5070,5000,5566,6189,7370,8024,7613,7060,6514,5504,5291,5053,5678,6161,7565,9321,7472,7176,6407,5691,5351,5538,5892,6906,8419,8699,7797,7672,6976,5950,5769,5817,5909,6992,8341,8265,8067,7530,6691,5855,5846,5830,6086,7041,8748,8764,8213,7606,6894,6003,5618,5574,7283,6907,7991,8290,8046,7316,6393,6097,5495,5506,5769,6477,7658,8354,7512,7096,6030,5440,5246,5546,5605,6694,8351,8787,7489,6439,5784,4596,4465,3983,3429,3153,2647,2612,2386,2167,1971,1715,1997,1444,1343,1242,1075,983,918,793,751,761,639,600,476,547,428,393,407]
[199,226,202,181,201,292,316,305,361,393,374,507,553,550,624,756,831,927,1161,1338,1395,1652,1870,2076,2842,3047,4574,7033,8396,8423,7524,5677,4687,4561,4527,5001,6753,8893,9603,8642,7667,6699,5580,4788,5023,5556,6857,8851,9130,8507,7688,6584,5645,5125,5280,5680,7002,8748,9316,8623,7745,7744,5801,5319,5202,6367,7873,10137,9812,8771,8081,7268,6221,5853,5868,6491,7564,9510,9471,8365,7830,6985,5881,5544,5637,6416,7668,9824,9843,8495,7874,7206,6046,5554,5265,6034,7005,8647,11457,8668,7620,6630,5929,5413,5618,6000,7056,8765,9111,8299,7287,6405,5300,5104,5210,6236,7681,9618,9687,7983,6714,5647,4504,3954,3675,3529,3032,2725,2509,2215,2091,1922,1802,1607,1406,1358,1514,1065,1038,902,830,727,710,554,495,489,424,427,451,341]
[156,171,175,235,259,243,261,318,325,322,483,533,497,640,680,868,882,977,1110,1261,1420,1599,1865,2189,2317,2864,3956,6599,7425,7617,6702,5065,4482,4294,4296,4924,6157,7570,8720,8088,7111,5959,5270,4981,5102,5305,6031,7524,8298,7803,7150,6278,5556,5065,5058,5781,6401,7589,8180,7611,7210,6003,5620,5229,6508,5966,7530,8529,9031,8153,7551,6258,6094,5557,5793,6123,6975,8681,8396,7982,7398,6393,5830,5675,5769,6089,7162,8125,8665,8173,7506,6579,5662,5243,5646,5743,6833,7899,8313,8238,7340,7406,5507,5489,5498,5934,6410,7353,8052,7582,6870,5983,5307,5286,5264,5652,6717,8441,8382,7659,6693,5341,4437,4039,3802,3458,3077,2793,2536,2246,2214,1870,1600,1524,1343,1283,1189,1131,932,1113,813,697,668,666,580,533,486,428,367,450]
[132,167,235,221,194,286,248,351,306,389,445,432,410,574,651,709,880,942,1177,1346,1587,1614,1947,2076,2351,2638,2950,3971,4785,5739,6403,4210,3881,3930,3966,4586,5182,5980,6851,6829,5882,5114,4638,4719,4766,5038,5185,5691,6207,6453,6022,5352,5046,4999,5024,5102,5614,5891,6399,6451,6334,5433,5315,4988,5244,5450,5752,7905,7218,7171,6495,5785,5297,5401,5587,5633,5818,6659,6873,7015,6473,5546,5294,5154,5670,5864,6125,6529,6971,7180,6693,5770,5355,4968,5350,5364,5806,6353,7272,7044,6571,5581,5443,5260,6336,5299,5552,6245,6597,6460,6018,5449,4770,4984,4954,4981,5603,6282,6798,6267,5408,4441,4094,3894,3514,3246,3109,2635,2487,2247,2059,1780,1619,1624,1437,1215,1066,1064,894,917,784,765,745,559,635,493,521,466,415,409]
[211,173,217,239,182,270,280,350,408,406,405,466,513,567,606,854,794,1044,1080,1231,1390,1567,1883,2110,2224,2629,2905,3189,3848,4480,4139,3466,3523,4525,3989,3943,4354,5285,5362,5493,4835,4581,4517,4550,4515,4634,4921,5197,5542,5785,5169,5019,4650,4803,4857,5121,5409,5214,5711,5900,5388,5140,4937,4770,5197,5124,5327,5779,6252,6362,6719,5391,5068,5147,5410,5425,5593,5770,6247,6290,5558,5320,5200,5076,5303,5253,5498,5963,6317,6354,5747,5501,5275,5166,5209,5455,5232,5537,6205,6201,5297,5261,5181,5143,5121,5166,5125,6333,5668,5561,4991,4868,4588,4658,4779,4609,4810,5398,5547,5073,4624,4378,4061,3666,3668,3320,3003,2580,2620,2291,2129,1872,1712,1499,1458,1357,1137,987,915,907,855,795,754,682,663,558,454,503,409,415]
[159,201,234,217,225,289,310,320,331,377,371,444,492,605,659,719,840,922,1017,1250,1384,1677,1864,2201,2344,2498,2765,3033,3574,3764,3566,3452,3596,3818,4328,4292,5286,4660,4869,4894,4688,4519,4467,4485,4776,4744,5036,4918,5240,5005,5112,4954,5007,4850,4970,5118,5104,5356,5485,5529,5437,4943,5058,5188,5082,5185,5150,5414,5505,5484,5582,5407,5023,6432,5304,5458,5406,5616,5787,5540,5524,5303,5410,5237,5242,5510,5520,5636,5790,5802,5630,5166,5137,5299,5347,5524,5302,5493,5429,5680,5326,5305,5248,4952,5091,5209,5232,5303,5417,5629,6238,4938,4754,4758,5002,4718,4981,5020,4918,4701,4473,4234,3882,3751,3550,3275,2899,2812,2446,2260,1952,1818,1630,1525,1369,1271,1264,1010,954,897,803,817,695,686,589,520,420,427,526,327]
[103,189,233,218,213,202,231,315,374,352,390,451,459,521,651,735,803,897,1089,1155,1455,1514,1847,2107,2370,2599,2792,3074,3452,3868,3763,3584,3858,4137,4264,4402,4420,4850,4947,5840,4729,4441,4596,4740,4882,5064,5065,5244,5422,5296,5013,5039,4884,5093,5228,5120,5231,5572,5486,5321,5380,4984,5056,5172,5286,5362,5108,5723,5761,5635,5429,5261,5310,5351,5471,5366,6482,5976,5979,5837,5599,5507,5371,5334,5433,5459,5582,5617,5902,5742,5614,5120,5414,5601,5414,5594,5563,5676,5806,5542,5186,5425,5283,5373,5371,5205,5415,5366,5426,5421,5539,5115,5142,6162,4941,4917,4877,5262,5134,4857,4281,4061,3831,3789,3604,3197,3018,2740,2530,2303,2054,1667,1635,1476,1393,1203,1231,1132,977,839,820,822,739,621,576,552,536,466,390,386]
[96,220,252,176,283,237,233,260,400,361,465,467,484,596,631,702,847,908,1019,1182,1395,1587,2007,2087,2405,2677,2928,3413,3765,3775,3851,3625,3623,4106,4499,4484,4632,4843,4923,4797,4433,4240,5487,4684,4975,4984,4930,5235,5561,5268,5037,4841,5132,4917,5257,5203,5097,5320,5445,5598,5267,5025,5054,5109,5137,5224,5379,5568,5791,5409,5374,5306,5323,5117,5236,5494,5361,5572,5850,7038,5641,5088,5440,5359,5532,5385,5552,5654,5626,5676,5647,5346,5131,5131,5465,5342,5341,5643,5589,5855,5499,5290,5240,5442,5394,5481,5198,5571,5623,5528,5352,5146,5076,4942,5280,5052,6021,5122,5215,4948,4617,4402,4094,3873,3683,3359,2982,2789,2417,2283,1991,1748,1693,1499,1493,1187,1267,971,1014,838,828,778,716,725,673,581,449,424,445,418]
[179,128,161,197,219,249,307,397,303,388,482,489,431,584,739,766,853,889,1095,1267,1421,1544,1790,2124,2518,2791,3124,3484,4089,4270,4075,3618,3474,3909,4054,4487,4628,4831,5446,5304,4721,4290,4440,4762,5797,4978,5114,5277,5764,5697,5323,5017,4897,4859,5201,4924,5257,5301,5798,5852,5358,5157,4985,5080,5152,5225,5311,5777,6007,5951,5439,5033,5063,5012,5314,5485,5474,5544,6106,6235,5532,5238,6196,5292,5446,5468,5355,5884,6174,5998,5235,5145,5158,5306,5925,5164,5386,5853,5960,5829,5300,5190,5260,5264,5380,5314,5354,5478,5941,6007,5443,5137,4843,4892,4835,4785,4997,5300,5593,6260,4447,4433,4368,4147,3864,3400,3153,2715,2358,2104,1922,1855,1659,1571,1321,1290,1151,980,997,897,767,803,677,650,539,480,450,385,425,409]
[98,194,144,203,191,318,358,308,294,400,432,494,449,596,702,784,915,926,1091,1212,1428,1571,1741,2191,2543,2898,3736,4214,5218,5033,5197,4151,4019,3902,4250,4391,4826,5712,6346,6139,5708,4906,4569,4652,4781,5217,5365,7304,6666,6309,5731,5069,5074,5023,5205,5126,5388,5974,6485,6516,5833,5390,4941,5187,5322,5443,5531,6425,6841,6521,5971,5582,5119,5405,5386,5236,5853,6564,6661,6327,6217,5484,5218,5339,5144,6657,6058,6781,6629,6682,6045,5586,5261,5215,5482,5290,5859,6166,6855,6625,6245,5458,5261,5148,5325,5427,5545,6351,6767,6328,5967,5743,5065,5017,4954,4836,5273,6509,6730,5862,5283,4643,5199,4075,3686,3308,2970,2800,2520,2216,2203,1730,1608,1541,1383,1294,1246,1075,1038,880,793,626,616,668,600,459,464,429,413,353]
[166,219,173,188,260,235,336,349,278,356,353,445,487,634,608,718,808,1001,1085,1275,1359,1586,1906,2221,2634,3233,4230,6031,7240,6716,7206,6066,5083,4380,4240,4842,5593,7430,8259,7470,6990,6011,5152,5005,4951,5384,6155,7743,8559,7915,8572,6006,5621,5184,5237,5183,6071,7648,8222,7632,6892,6139,5318,5238,5171,5337,6204,7905,8371,7797,7446,6426,5576,5292,5434,5599,6630,7759,8426,7876,7484,6371,5711,5292,5410,5712,6644,7713,9885,7955,7224,6179,5440,5289,5314,5840,6625,7906,8258,7732,7014,6327,5548,5221,5535,5710,6713,7468,8218,7776,6806,6133,5405,5133,5199,5565,6581,8385,8202,7476,6486,5681,4496,4250,3834,4050,2993,2676,2555,2291,2222,1853,1624,1459,1420,1300,1178,1143,930,850,763,743,620,548,537,531,440,394,387,327]
[96,124,200,213,233,221,259,277,308,390,384,460,601,574,650,743,1059,1011,1045,1255,1350,1709,1950,2238,2476,3134,4936,6619,7941,7808,7750,6414,4736,4468,4218,4904,5933,7936,9336,8392,7410,6487,5522,4950,4858,5280,6264,7819,8773,8565,8215,7048,6022,6570,5072,5258,6415,7723,8971,8100,7420,6675,5820,5445,5214,5637,6557,8241,8760,8416,7588,6987,6195,5412,5378,5763,6891,8248,9415,8305,7670,6862,6012,5161,5238,5851,6679,8575,9252,8393,8016,8149,5637,5277,5221,5934,7083,8981,8953,8546,7580,6513,5648,5331,5181,5857,7003,8364,9166,8601,7384,6388,5728,4943,5211,5423,6713,8767,9167,7928,7462,5878,4937,4337,3765,3615,3002,2830,2962,2350,2042,1813,1721,1498,1294,1199,1096,1085,944,874,821,649,663,574,486,538,453,461,326,382]
[130,232,206,200,262,236,284,383,406,392,441,571,595,571,749,795,816,925,1361,1273,1623,1757,2085,2325,2831,3508,4751,6446,6854,6899,5626,4277,4014,3893,4558,5485,6599,7860,7421,6929,5785,5026,4721,4504,5213,5808,7016,7716,7693,7371,6195,5351,5151,5049,5373,7298,6805,7661,7321,6811,5962,5359,4890,5006,5465,6051,6806,7735,7548,7143,6363,5386,5316,5266,5587,6124,6796,7425,7600,7147,6171,5504,5082,5303,5618,5997,7026,7602,7852,7266,6567,5739,5150,6191,5689,6084,7235,7613,7919,7210,6105,5523,5103,5178,5547,6391,7092,7857,7448,7055,5949,5431,4728,4963,5225,6365,7076,7329,7211,6697,5319,4626,4067,3491,3417,3089,2798,2525,2231,2229,2210,1665,1414,1390,1311,1084,1040,945,845,737,768,574,611,552,555,461,442,390,350,306]
[171,210,157,129,190,231,301,341,299,378,340,373,486,596,532,698,761,875,932,1137,1278,1862,1708,1923,2225,2472,2806,3486,4425,5326,5145,3916,3582,3592,3714,3832,4288,4879,5564,6027,5706,4780,4651,4300,4416,4672,4853,5416,5908,6408,6225,5201,4736,4800,4832,5236,5349,5686,7396,6378,5958,5061,4952,4999,4922,5196,5419,5670,6211,6586,6113,5578,5070,5016,5086,5008,5328,5851,5958,6580,6155,5353,5101,4974,5057,5152,5475,5625,6046,6442,6121,5617,4987,4954,5024,4952,6359,5861,6289,6459,6210,5443,5122,4976,4989,5052,5316,5783,6249,6727,6017,5138,4691,4690,4656,4895,5079,5552,5885,6227,5421,4670,3960,3689,3597,3242,2848,2696,2363,2169,2063,1763,1524,1702,1342,1282,1104,1037,995,778,823,739,589,660,485,533,448,453,310,327]
[165,215,150,187,231,205,297,315,283,361,421,506,495,586,646,662,832,865,989,1184,1398,1537,1784,2073,2799,2393,2748,3100,3702,4176,3942,3446,3468,3444,3696,3913,4318,4614,4954,5062,4645,4366,4352,4352,4360,4702,4857,4939,5323,5451,5079,4812,4632,4637,4760,4830,4950,5296,5548,5618,5438,6093,4833,4702,5067,5198,5316,5560,5615,5667,5146,4915,5100,4992,5097,5122,5119,5609,5824,5718,5409,5165,5043,4894,4811,4945,5291,5323,5646,5697,5451,5041,4778,4951,4912,4960,5260,5216,6668,5588,5150,4989,5077,4906,4978,5162,4975,5238,5544,5618,5145,4850,4649,4546,4341,4495,4714,5004,5180,5028,4737,4277,3929,3875,3615,3420,3057,2514,2396,2089,1708,1705,1511,1470,1310,1110,1278,989,836,833,733,708,613,608,611,570,404,387,346,283]
[162,158,199,223,266,177,345,285,289,332,373,443,451,535,604,653,810,919,1003,1191,1366,1419,1796,1971,2057,2418,2417,3403,3322,3567,3657,3453,3576,3768,4049,4297,4085,4396,4457,4550,4466,4163,4207,4294,4411,4444,4466,4655,5100,4846,4967,4565,4563,4713,4911,4838,4912,5091,5168,5273,4998,4961,4645,4812,6096,4949,5162,5256,5553,5182,5219,4928,4880,4829,5095,5086,5026,5426,5276,5323,5208,5021,5049,5019,5098,5032,5037,5489,5312,5392,5240,5103,5076,4948,5098,4918,5035,5125,5605,5324,5030,5009,5909,5133,4887,4993,4844,4942,5206,5297,5080,4756,4594,4698,4687,4463,4658,4672,4987,4579,4287,3922,3788,3594,3317,3196,2778,2459,2324,2118,1848,1663,1418,1259,1192,1153,1092,991,929,1053,839,717,681,644,460,520,464,384,346,374]
[151,225,197,214,261,274,336,255,366,395,365,508,500,553,575,672,745,785,954,1128,1264,1386,1699,1955,2125,2319,2532,2898,3113,3512,4009,3398,3495,3814,4159,4225,4898,4741,4609,4550,4581,4148,4230,4355,4531,4578,4730,4987,4869,4900,4765,4501,4495,4824,4898,4892,5019,5159,5263,5362,5159,4909,4934,4978,5059,5163,5028,6259,5156,5279,5078,5012,4829,4999,5323,4852,5268,5392,5348,5088,5020,4803,5113,5014,5203,4914,5325,5220,5153,5222,4979,4816,5030,4828,5026,4836,5069,5408,5465,5339,5198,4820,4804,5046,6142,5119,4828,5302,5080,5145,4853,4655,4538,4758,4778,4663,4859,4852,4630,4552,4239,4070,3756,3628,3490,3213,2729,2450,2199,2105,1847,1662,1415,1440,1263,1143,1058,999,915,907,777,660,688,555,525,423,392,371,346,301]
[200,133,179,219,281,220,341,284,347,264,353,511,579,515,653,648,756,828,987,1201,1320,1574,1777,2080,2128,2433,2636,3057,3445,3634,3432,3334,4152,3507,4123,3930,4255,4468,4697,4741,4391,4087,4172,4129,4576,4605,4496,4692,4940,5131,4758,4375,4568,4619,4852,4804,4996,5249,5447,5285,5104,4730,4902,4926,5190,5057,4959,5168,5381,5522,6159,4911,4712,4909,5043,5149,4996,5276,5195,5424,4883,4891,4854,4885,4970,5060,4996,4965,5202,5370,4987,4788,4767,4898,4834,4936,4918,5321,5590,5524,5084,4933,5373,4763,4874,4833,4776,6077,5330,5207,4806,4450,4659,4566,4675,4422,4446,4646,4834,4700,4372,4042,3962,3521,3173,3043,2661,2541,2278,2037,1814,1660,1606,1253,1216,1041,1063,978,906,841,770,654,582,626,581,490,333,393,339,348]
[147,149,175,151,248,221,266,252,296,359,454,435,447,571,628,726,720,818,899,1143,1262,1404,1766,1982,2334,2520,2827,3122,3887,4010,3680,3241,3355,3502,3665,4784,4318,4593,4968,5221,4530,4188,3966,4383,4293,4533,4521,5050,5439,5517,4929,4514,4399,4457,4739,4818,4781,5113,5721,5704,5369,4780,4767,4607,4666,4943,4877,5368,5593,5950,5400,4955,4698,5487,4919,4778,5067,5518,5881,5507,5089,4739,4520,4840,4826,4810,4901,5129,5561,5536,4880,4643,4474,4820,4855,5033,5253,5331,5853,5697,5169,4725,4769,4523,4824,4853,4912,5144,5564,5653,6178,4498,4382,4462,4404,4424,4669,5077,5616,5265,4524,4214,3857,3652,3416,3149,2819,2570,2169,2040,1908,1666,1593,1462,1380,1203,1078,954,721,809,649,645,522,612,443,505,447,389,361,251]
[178,233,270,209,161,199,224,331,331,339,414,440,429,486,526,679,769,830,953,1088,1279,1454,1617,2056,2216,2506,3245,4048,5066,5115,4843,3918,3672,3438,3908,3919,4581,5615,7451,6043,5826,4805,4401,4251,4441,4468,4917,5742,6686,6244,6003,5258,4452,4527,4765,4712,5339,6177,6744,6413,5997,5094,4819,4716,4782,4940,5491,6311,6839,6520,6070,5409,4828,4774,5006,5046,6550,6364,6675,6685,5859,5164,4905,4700,4933,4980,5216,6020,6299,5944,5462,4890,4614,4792,4830,4980,5464,6474,6684,6327,5964,5489,4839,4881,4705,4916,5310,6077,6675,6263,5651,5228,4371,5563,4548,4484,5214,6326,6413,6168,5170,4759,4234,3879,3410,3015,2744,2334,2061,2061,1808,1663,1525,1361,1286,1137,1008,839,761,875,675,602,640,504,448,454,421,407,416,286]
[112,180,236,266,282,258,274,226,325,293,408,472,419,465,552,651,802,749,945,960,1170,1373,1500,1842,2001,2607,3559,4853,6440,7220,6763,5629,3923,3717,3731,4048,5493,6870,7469,7539,6528,7071,4793,4375,4495,4643,5825,7111,7740,7540,7064,5784,4833,4406,4638,4966,5836,7601,8057,7727,7269,6022,5109,4845,4667,5018,6252,7509,8593,8450,7674,6569,5257,4855,4707,5049,6159,7677,8702,10008,7575,6786,5237,4811,4946,4962,5673,7511,7997,7375,6804,5574,4788,4828,4709,5001,6449,7950,8527,8130,7314,5870,4981,4970,4582,5032,6253,7479,8478,7544,6725,5893,4636,4535,4510,4896,7253,7951,8365,7229,6260,4859,4092,3544,3208,2968,2680,2399,2233,1998,1783,1712,1412,1327,1304,1113,999,948,779,765,743,635,568,485,498,350,425,304,266,250]
[161,145,204,223,229,188,239,314,345,310,360,350,447,586,541,607,623,775,950,1102,1167,1390,1638,1865,2155,2656,3591,5470,7117,7571,7177,5319,4137,3838,3706,4340,5552,7013,8196,7974,7215,6208,4908,4343,4274,5533,5971,7865,8432,7798,7393,6160,5029,4624,4607,4828,5994,7679,9090,8469,7716,6292,5298,4754,4743,5039,6059,7527,8985,8555,8251,6707,5544,4893,4569,5181,5712,7607,8958,8110,7748,6544,6246,4738,4690,5186,5906,7295,8070,7576,6751,5819,4947,4549,4870,5441,6873,9308,9200,8224,7317,5938,4974,4796,4644,5342,6710,8754,9054,7912,7282,5715,4842,4467,4476,5153,6246,8312,8939,8022,8067,5093,4260,3538,3186,2987,2744,2249,2202,1960,1931,1548,1399,1356,1160,1138,1009,858,848,887,773,558,605,540,460,476,415,351,295,269]
[88,147,174,155,231,243,262,256,321,335,350,465,493,557,610,641,695,781,911,1097,1168,1338,1722,1726,2138,2358,3179,4461,6077,6550,5734,4305,3539,3377,3744,3972,4865,5743,6394,7053,6282,5136,4480,4142,4141,4555,4953,6174,8062,7186,6369,5429,4719,4387,4425,4697,5230,6462,7152,7427,6696,5878,4908,4649,4723,4762,5548,6688,7432,7577,7456,5938,4954,4870,4708,4933,5676,6742,7008,7520,6574,5765,4919,4648,4528,5861,5644,6333,6620,6611,6111,5240,4648,4421,4627,4823,5761,6881,7672,7200,6754,5540,4760,4523,4666,4890,5401,6293,7216,7018,6180,5097,4423,4255,4261,4545,5259,6184,7075,6742,5803,4641,3937,4113,3043,2863,2434,2445,2021,1858,1788,1538,1496,1269,1165,1038,953,863,731,660,652,615,601,513,437,388,392,406,283,328]
[130,120,152,157,172,288,287,267,325,302,310,403,421,410,638,591,629,772,888,953,1104,1351,1536,1819,2059,2123,2649,3143,4319,4866,4528,3517,2980,3049,3435,3631,3910,4438,5029,5844,5304,4422,4082,4043,4006,4203,4374,4934,5662,5883,5437,5399,4296,4273,4232,4610,4587,5112,5818,6061,5601,4698,4330,4371,4383,4577,4625,5244,5976,6378,5851,4970,4519,4420,4575,4506,4737,5290,5810,6070,5668,4813,4540,4570,4600,4525,4697,5078,6695,5601,5331,4668,4474,4165,4464,4335,4650,4835,5691,5848,5640,4720,4444,4458,4391,4533,4349,4891,5751,6049,5331,4373,3977,4052,4108,3889,4426,4957,5764,5568,4671,3881,3481,3280,3103,2898,2941,2300,2027,1769,1641,1489,1210,1221,1098,975,848,838,776,694,660,590,591,453,413,461,351,376,297,306]
[100,172,149,220,202,210,238,300,305,303,300,390,480,456,565,550,615,946,885,1009,1088,1264,1436,1823,1927,2172,2480,2794,3444,3585,3230,2970,2961,3151,3379,3361,3596,3910,4597,4578,4135,3970,3697,3859,3779,3903,3950,4190,4594,4842,4513,4041,3997,3930,4940,4062,4246,4519,5039,5082,4769,4422,4365,4063,4352,4438,4510,4554,5311,5293,4794,4374,4259,4370,4356,4457,4507,4922,5151,5194,4643,4338,4046,4107,4350,4316,4314,4352,4940,4976,4512,4110,4997,4200,4287,4180,4224,4611,4846,4968,4674,4278,4247,4297,4372,4112,4354,4657,4925,5096,4532,4232,3938,3793,3869,3778,3769,4331,4968,4734,3875,3431,3224,3170,2974,2754,2407,2037,1914,2085,1448,1375,1281,1087,957,963,818,796,724,742,572,491,606,445,388,368,400,335,280,294]
[187,217,198,178,266,204,222,277,304,323,264,376,382,508,424,568,646,709,786,949,1056,1225,1511,1712,2009,2104,2407,2641,3208,3210,2910,2957,3086,3203,3647,3808,3425,3786,4227,3922,3866,3681,3631,3927,4067,3899,3760,3990,4317,4191,4192,4023,3831,4049,4312,4344,4139,5230,4502,4540,4356,4345,4027,4320,4647,4494,4391,4691,4785,4980,4658,4267,4161,4538,4566,4387,4232,4633,4759,4417,4443,4171,3985,4250,4572,4170,4176,4420,4595,4639,4567,4046,4036,4157,4255,5122,4121,4365,4825,4425,4535,3977,3929,4326,4289,4144,4141,4324,4655,4519,4379,4167,3965,4043,4147,3913,3769,4083,4347,4043,3941,3375,3262,3140,3136,2647,2347,2106,1859,1719,1572,1411,1414,1042,1017,805,881,871,660,664,608,586,532,382,503,371,388,391,271,225]
[132,134,127,167,164,244,211,306,301,244,358,376,355,494,427,536,650,671,851,875,936,1232,1510,1956,1961,2078,2385,3064,3234,3152,2978,2908,2978,3657,3657,3691,3625,3861,3888,4270,3812,3419,3576,4015,4043,3799,3899,4183,4311,4214,4143,4060,3811,4094,4319,4159,4063,4449,4619,4484,5213,4222,4344,4425,4646,4281,4387,4810,4800,4772,4442,4075,4299,4507,4435,4214,4329,4435,4773,4559,4280,4114,4194,4292,4495,4259,4182,4477,4726,4631,4417,4069,4120,4177,4481,4243,4217,5453,4516,4448,4219,3838,4100,4310,4242,4243,4278,4428,4577,4514,4230,3908,4048,4177,3993,3758,3842,4065,4283,4142,3617,3571,3179,3067,2858,2484,2265,1960,1739,1514,1414,1183,1113,999,906,930,736,712,727,569,628,507,437,465,440,376,396,283,213,316]
[96,172,145,177,273,197,222,246,303,299,334,337,386,514,485,531,617,641,797,747,837,1054,1398,1563,1840,2031,2921,2746,3293,3390,3129,2784,2913,3145,3281,3361,3384,3728,3990,4057,3742,3440,3356,3577,3932,3742,3774,4133,4239,4327,3966,3890,3661,3940,4158,4065,4140,4523,4662,4891,4304,3934,4012,5064,4408,4154,4215,4500,4959,4684,4330,3984,4324,4083,4134,4238,4283,4276,4679,4588,4262,3993,3942,4205,4179,4005,4256,4504,4790,4654,4381,3844,3916,3992,4081,3989,4069,4432,4510,4563,4913,3735,3829,4082,4139,3968,4108,4399,4510,4321,4134,3772,3939,4078,3997,3901,3642,4292,4156,4167,3687,3393,3229,3223,2770,2228,2064,1794,1863,1558,1389,1084,1105,1030,882,775,712,726,804,578,516,503,496,401,367,352,366,263,292,237]
[199,189,129,180,264,171,295,271,373,304,328,401,423,472,522,600,727,857,903,1017,1206,1384,1722,1989,2262,2623,3198,3740,3508,3010,2638,2679,2879,2887,3110,3402,3848,4274,4335,3601,3117,3350,3274,3504,3755,4430,4412,4854,4337,3718,3496,3570,3729,3702,4044,4534,4585,5090,4766,4001,3623,3831,3776,3822,4095,4352,5107,5199,4858,4273,3638,3977,3986,3963,4068,4239,4750,5068,4743,4164,3678,3811,4745,4057,4108,4231,4785,4912,4579,4040,3710,3618,3883,3910,3870,4021,4666,5161,4693,4129,3559,3520,3794,3855,3870,4301,4991,5440,4657,4145,3691,3845,3578,3553,3547,4168,4727,4961,4241,3936,4191,3220,2889,2536,2161,1995,1889,1482,1444,1311,1094,964,951,862,780,700,642,572,540,491,396,414,394,414,323,283,262,314,286,266]
[94,220,210,176,196,196,235,199,244,308,359,267,338,437,430,509,581,649,697,786,925,968,1208,1327,1754,2096,2791,3774,4710,4890,4173,3257,2860,2910,3053,3271,3573,4655,5243,5127,4858,3790,3383,3293,3402,3646,5117,5390,5858,5650,4934,4075,3570,3573,3614,3948,4711,5752,6273,6343,5084,4448,3593,3849,3894,3910,4578,5910,6637,5968,5374,4294,3985,3896,3933,4093,4578,5563,6215,6028,4989,4309,3810,4628,3871,4067,5074,6101,6161,5556,4793,4085,3822,3930,3925,4056,4462,5578,5617,5650,4661,4039,3577,3558,3672,3923,4719,6278,6894,6001,5047,3881,3605,3497,3531,3841,4825,6230,6596,6331,5021,4396,3088,3032,2557,2171,2000,1710,1722,1407,1329,1122,936,965,871,705,695,594,608,521,455,472,421,359,417,335,267,269,210,267]
[82,96,123,170,206,187,192,205,253,267,287,286,414,330,375,511,553,586,700,841,753,994,1117,1330,1621,2137,3355,5054,6547,7043,6500,4496,3477,2911,3167,3308,4192,5974,7101,7251,7045,5025,3958,3450,3440,3724,5121,7173,8097,8824,6431,4857,3869,3638,3802,4162,5885,7941,8317,7631,6785,5268,4097,3934,3777,4401,5706,7890,7926,7351,7146,5449,4158,4029,3878,4046,5455,7152,8268,8201,7009,5065,3916,3911,3837,4250,5628,9791,8160,7638,6913,5112,4128,3867,3961,4299,5129,7144,7791,7234,6465,4992,3974,3556,3554,4265,5896,8355,8816,7828,6526,4866,4007,3534,3776,4363,6254,8375,8498,7410,5818,4177,3138,2763,2887,2096,1841,1660,1492,1264,1261,1021,990,830,789,764,774,613,594,616,447,500,387,305,289,289,268,275,314,244]
[92,136,162,122,158,186,181,167,304,213,223,334,374,356,361,473,489,574,619,640,668,920,1002,1504,1457,2235,3315,5937,7233,7489,6157,4063,3147,2673,2836,3513,4622,6280,7187,7631,6770,4686,3453,3269,3346,3931,5601,7811,8387,7767,6986,4911,3735,3239,3368,4100,5985,8205,8559,8022,7101,5923,3799,3438,3818,4201,6023,8093,8100,7460,6779,5056,3817,3626,3585,3926,5509,7623,8503,7994,6496,4427,3623,3304,3518,4323,5958,8286,8041,7620,6773,4868,3638,3418,3552,4039,5493,7344,9279,7310,6148,4299,3626,3311,3578,4050,6452,8879,8364,7225,6196,4594,3613,3194,3546,4207,7130,9900,8942,7706,5939,3724,2814,2371,2264,2072,1694,1460,1385,1298,1109,1046,907,752,727,865,673,617,532,507,471,379,419,297,353,346,248,261,250,268]
[82,207,170,187,223,178,150,200,208,270,323,244,322,317,452,507,495,441,614,614,739,756,997,1013,1260,1488,3005,4569,5209,5780,4418,2932,2410,2435,2477,2935,3828,4723,5643,6062,4767,3563,2703,2675,2892,3363,4444,5655,6284,6123,5402,3682,3045,2836,2918,3285,4089,5286,6036,5825,5424,3953,3230,2865,3698,3175,4393,4821,5831,5682,5143,3675,3107,2840,3019,3233,4013,5293,5963,6267,5053,3619,2934,3046,3226,3609,4682,6029,6593,6380,5044,3747,3136,2848,3094,3337,4218,5504,5828,5987,5124,4270,3012,2851,2903,3363,4556,5854,6104,5682,4873,3435,3017,2827,2920,3353,5062,6566,6173,5816,4403,3030,2197,1980,1852,1684,1494,1287,1163,1142,1052,874,897,700,610,661,571,586,574,405,384,425,449,333,329,322,234,246,195,275]
[121,98,191,157,156,195,249,227,283,212,291,292,386,320,397,412,476,525,530,566,689,812,853,890,1099,1327,1872,2297,3294,3366,3906,2319,2014,2238,2430,2410,2745,3232,3984,4132,3712,2634,2459,2468,2607,2747,3435,3976,4673,4822,4103,3024,2740,2632,2756,2789,3384,4102,4825,4893,3919,3104,2850,2771,3034,2904,3444,5000,4813,4754,3839,3124,2801,2745,2749,2775,3294,3997,4538,4546,3617,2903,2800,2637,2884,3061,3535,3976,4704,4834,3882,3048,2710,2715,3017,2903,3367,3817,4380,4660,3936,2986,2754,2618,3090,2836,3146,3955,4253,4331,3322,2737,2369,2506,2458,2475,3165,4097,4286,4072,3128,2386,1909,1775,1777,1414,1432,1309,1123,966,866,881,692,771,629,550,612,398,519,447,389,349,346,376,293,258,283,238,179,235]
[100,98,195,134,174,94,217,199,227,268,257,292,312,390,417,343,457,466,556,516,684,709,774,863,1002,1064,1411,1657,2243,2498,2174,1991,1839,2152,1951,2027,2184,2555,3021,2876,2553,2298,2221,2391,2179,2375,2640,3080,3757,3467,2890,2607,2405,2425,2534,2501,2776,3352,3906,3735,3151,2724,2610,2562,2709,2490,2869,3134,3561,3721,3700,2816,2606,2422,2480,2577,2626,2926,3375,3300,2950,2491,2490,2452,2549,2381,2725,2896,3475,3575,2992,2552,2359,2431,2357,2478,2612,3096,3478,3290,2807,2510,2351,2296,2299,2477,2563,3841,3434,3389,2643,2361,2205,2174,2290,2298,2691,3215,3371,3010,2400,1958,1695,1596,1546,1293,1252,1012,930,868,784,760,661,710,551,604,507,419,449,459,362,300,372,364,266,280,289,181,183,161]
[192,86,144,208,186,256,229,207,244,273,226,298,313,412,346,421,415,414,469,517,605,701,696,786,937,948,1118,1297,1739,1683,1830,1738,1729,1778,1751,1802,2499,2195,2158,2282,2109,1990,2006,2124,2152,2234,2317,2539,2630,2497,2540,2403,2276,2311,2335,2429,2567,2824,2810,2725,2554,2474,2253,2227,2506,2490,2677,2738,2895,2998,2818,2585,2374,2823,2486,2422,2631,2650,2785,2610,2538,2333,2234,2307,2177,2393,2346,2622,2778,2566,2706,2349,2253,2161,2360,2397,2340,2573,2584,2580,2497,2382,2068,2142,2095,2235,2314,2535,2471,2314,2923,2193,1906,2049,2073,1931,2280,2338,2346,2161,1882,1586,1560,1519,1256,1286,1056,952,907,833,676,713,598,658,485,520,467,445,441,435,360,347,300,298,265,257,229,274,245,130]
[94,88,133,187,198,200,193,237,232,238,287,332,252,277,411,370,415,430,435,514,499,648,643,621,921,880,1063,1143,1361,1457,1561,1529,1665,1753,1606,1827,1925,2081,2071,2424,2013,1938,1908,1965,2023,2024,2213,2174,2263,2277,2347,2058,2121,2084,2203,2214,2348,2245,2369,2394,2352,2166,2521,2164,2215,2408,2306,2321,2462,2495,2500,2222,2343,2240,2132,2126,2771,2423,2557,2470,2431,2234,2189,2152,2219,2223,2302,2347,2413,2384,2293,2337,2335,2023,2263,2195,2408,2325,2263,2254,2170,2186,2117,2168,2151,2179,2118,2087,2165,2079,2174,1995,2031,2282,2040,1904,1911,1957,1789,1840,1680,1376,1457,1273,1262,1084,989,838,778,675,724,536,543,428,484,429,373,413,371,334,339,279,217,224,219,295,252,171,195,215]
[94,92,96,188,223,205,198,212,226,259,309,282,247,282,278,369,388,384,511,556,521,552,653,727,843,857,894,1014,1188,1209,1275,1390,1340,1515,1558,1588,1731,1654,1696,1569,1844,1690,1753,1827,1761,1920,1894,1881,1858,1927,1931,1876,1826,1877,1907,2009,2413,2090,2246,2078,2022,2064,1927,1991,2051,2080,2171,2120,2197,2087,2094,2055,2020,2025,2095,2145,2063,2060,2053,2166,1975,2059,2026,1944,1930,2020,1882,1971,1993,2033,1900,2013,1965,2355,1918,2019,2022,1913,1934,1930,1849,1889,1856,1853,1813,1834,1910,1942,1806,1774,1711,1761,1750,1636,1596,1683,1690,1573,1565,1428,1423,1298,1139,1250,1054,958,925,837,800,713,704,502,507,441,480,443,353,371,366,301,263,289,215,250,281,223,201,150,188,82]
[72,80,80,131,138,171,198,238,241,233,235,265,288,321,272,261,325,393,393,392,476,561,631,587,706,725,830,831,1015,1141,1154,1069,1057,1184,1269,1311,1318,1502,1457,1361,1342,1540,1412,1507,1559,1497,1663,1652,1590,1576,1607,1634,1557,1558,1577,1712,1572,1729,1766,2045,1701,1594,1650,1721,1664,1782,1791,1729,1721,1760,1797,1693,1652,1738,1823,1680,1774,1707,1778,1869,1675,1734,1704,1730,1762,1706,1739,1731,1772,1748,1753,1672,1510,1711,1725,1674,2104,1591,1672,1707,1605,1674,1468,1513,1660,1567,1590,1624,1562,1600,1576,1422,1495,1426,1346,1345,1390,1368,1294,1273,1244,1127,1115,890,969,865,845,822,741,681,628,523,513,590,436,418,340,364,267,350,267,308,240,219,228,202,171,193,193,218]
[100,84,84,153,96,234,185,203,219,235,168,197,184,318,301,322,389,318,392,466,533,494,496,562,714,599,652,704,829,931,1000,896,1007,949,1069,1168,1157,1185,1181,1167,1177,1241,1202,1142,1323,1194,1319,1411,1411,1477,1416,1340,1348,1367,1367,1412,1543,1479,1453,1438,1470,1788,1401,1401,1453,1553,1515,1560,1515,1687,1497,1448,1483,1482,1386,1521,1490,1552,1599,1521,1460,1479,1318,1392,1558,1368,1525,1503,1527,1485,1463,1355,1386,1504,1316,1375,1513,1482,1408,1742,1338,1316,1310,1370,1399,1360,1364,1291,1265,1384,1309,1284,1284,1154,1285,1096,1146,1088,1037,1068,1019,879,972,821,806,829,781,761,586,556,603,460,457,463,365,460,402,355,344,347,297,321,305,157,197,231,228,121,123,98]
[68,76,94,90,199,172,210,157,185,202,237,260,235,257,281,383,365,364,396,349,510,462,440,479,512,501,634,740,646,743,847,792,963,917,861,866,935,979,1113,1024,1173,984,1087,1158,1221,1209,1115,1268,1293,1076,1234,1123,1192,1184,1212,1130,1338,1275,1354,1397,1299,1267,1265,1399,1476,1331,1311,1247,1413,1306,1352,1345,1326,1248,1280,1347,1363,1302,1372,1268,1394,1310,1258,1323,1278,1272,1248,1310,1452,1393,1240,1176,1299,1239,1185,1233,1257,1168,1277,1300,1199,1141,1461,1192,1132,1141,1055,1184,1221,1177,1120,1065,1123,1061,1018,945,990,967,963,946,995,833,828,733,734,799,693,686,560,595,495,491,468,319,422,338,296,269,285,305,252,167,246,232,179,166,92,217,141,110]
[62,76,90,82,208,96,130,212,217,228,229,219,185,243,328,269,328,362,412,405,411,420,543,494,519,535,512,579,688,672,733,758,707,710,821,768,790,870,846,963,952,846,877,893,1056,932,980,920,1023,991,1169,1134,1146,975,1059,1114,1066,1047,1106,1159,1114,1014,1025,1183,1023,1144,979,1406,1138,1277,1143,1094,1221,1111,1072,1147,1130,1236,1133,1179,1217,1117,1110,1031,1152,1061,1072,1183,999,1119,1068,1114,1041,1016,1020,987,1037,1103,1135,1008,1065,1004,1060,931,1005,1104,934,1021,1007,975,915,914,893,891,862,847,848,870,925,823,788,674,666,595,578,639,501,511,482,501,488,442,382,382,369,269,295,272,244,262,228,226,295,242,168,94,214,98,86,66]
[90,90,82,86,66,227,117,174,207,236,209,182,247,262,243,227,303,223,323,383,352,422,387,426,453,527,513,461,549,544,566,663,627,851,680,649,725,818,756,858,817,888,753,881,897,886,951,906,905,926,871,881,902,914,949,932,982,940,989,880,1115,978,936,937,1058,920,1098,1012,1015,1047,1245,1012,994,1002,897,980,982,1016,1030,944,1003,1015,1059,990,977,1040,978,1086,1038,998,1042,895,982,872,971,939,1014,1070,1001,985,1051,935,785,823,906,888,818,922,1082,947,936,855,816,736,752,690,808,717,742,732,680,614,625,577,535,457,528,475,395,438,392,434,402,280,325,329,270,264,255,280,270,211,210,158,159,223,159,142,155,70]
[80,90,120,98,96,174,194,219,206,184,219,233,250,256,212,253,271,279,244,334,430,437,361,338,339,471,478,530,439,506,508,555,576,592,693,684,807,777,746,761,775,719,788,725,780,758,793,794,773,830,869,873,839,937,816,913,869,896,800,960,991,913,846,923,830,920,866,904,937,837,1019,853,975,1103,916,928,962,912,797,937,931,934,917,918,955,895,966,854,922,807,979,877,719,861,783,900,908,898,913,818,899,772,762,817,879,814,842,781,917,818,840,875,743,692,801,715,803,666,671,617,621,540,522,491,549,498,528,418,471,459,345,348,324,338,353,303,335,293,205,214,247,154,228,174,126,146,146,94,92,88]
[84,66,82,98,90,90,204,167,227,191,245,239,266,190,267,286,247,263,301,343,389,307,334,409,351,368,471,540,458,484,528,535,481,563,556,608,626,845,705,661,701,653,687,763,695,817,800,851,759,752,680,796,755,695,821,851,831,808,800,756,781,862,767,784,826,841,856,766,803,735,703,766,772,758,1020,814,757,834,784,807,728,698,761,753,782,796,832,833,772,774,713,753,783,751,812,770,797,758,725,764,686,645,678,666,643,707,717,801,754,735,697,759,625,673,671,686,608,636,576,601,519,510,494,480,511,450,406,406,348,368,358,352,259,276,318,239,214,261,288,246,146,174,100,170,150,148,158,92,78,82]
[78,72,78,90,70,96,90,98,180,155,189,263,241,217,155,203,292,229,280,370,239,299,335,300,295,417,391,413,373,463,457,393,546,440,466,543,511,697,582,540,604,596,578,562,595,520,576,653,793,751,780,648,690,726,612,722,841,758,678,696,749,719,692,745,735,652,713,736,682,675,774,747,739,709,865,690,732,751,751,704,754,727,685,671,747,720,676,751,700,658,727,782,687,613,687,692,684,695,742,629,637,605,610,622,611,568,597,650,632,619,688,642,723,574,536,592,619,477,501,493,451,536,493,489,408,380,340,322,329,354,339,361,275,284,350,312,288,238,233,269,209,217,131,90,90,183,90,182,98,194]
[74,64,88,96,78,114,92,94,183,98,134,227,211,233,153,207,234,265,286,219,325,255,271,227,399,337,333,454,338,439,376,357,477,430,421,477,511,487,572,543,606,544,530,565,564,622,577,555,575,662,706,583,580,724,653,643,552,629,697,596,667,651,658,664,610,682,695,677,669,720,733,661,656,645,583,697,689,841,759,663,698,639,655,637,602,656,672,606,713,714,630,634,605,583,596,667,554,647,677,578,600,625,610,594,587,552,592,593,554,527,587,503,548,516,505,617,481,478,500,421,491,504,372,426,485,407,314,343,382,391,252,329,216,324,228,272,273,183,217,247,211,138,181,185,98,164,94,86,90,74]
[72,62,44,94,60,84,100,82,116,211,199,190,208,225,221,231,185,183,224,271,244,284,296,259,303,322,272,324,296,334,468,312,406,387,435,411,386,449,436,444,471,514,466,499,442,530,534,541,560,571,590,604,594,523,589,602,635,535,704,548,631,532,540,517,559,587,558,597,645,580,605,595,596,585,562,585,593,653,575,597,704,526,598,624,559,606,602,592,583,524,561,566,591,566,514,585,470,512,557,511,613,522,483,512,552,538,586,474,541,555,562,431,465,441,478,437,354,483,471,489,431,468,368,365,365,303,369,318,372,311,359,245,338,235,278,274,226,181,266,174,197,156,134,177,94,84,80,68,82,72]
[72,40,52,78,76,80,52,78,110,124,191,194,197,193,243,217,187,184,175,246,253,193,289,239,298,292,365,279,373,399,322,342,324,356,389,342,376,452,368,412,473,426,499,549,477,465,553,572,552,489,537,481,465,501,491,545,511,514,470,531,507,519,515,454,533,504,462,544,473,528,559,509,473,529,570,536,429,528,503,553,527,521,520,592,541,544,577,463,496,549,462,488,580,523,591,465,491,484,564,460,446,572,492,502,479,524,490,441,428,522,492,405,398,525,484,369,435,419,336,397,331,411,337,328,310,295,302,332,371,333,265,228,240,294,189,257,179,192,167,259,188,212,183,182,58,94,94,78,80,86]
[52,58,64,70,76,86,84,158,68,165,94,86,232,158,205,234,198,196,258,196,235,185,198,242,300,257,242,250,264,252,288,364,292,300,312,346,323,374,403,342,419,484,432,480,450,407,456,442,457,599,451,449,492,433,431,478,453,409,509,576,519,475,451,567,445,540,485,480,589,435,454,525,520,436,518,497,552,560,516,452,511,556,420,484,460,474,582,463,449,464,446,505,461,434,378,451,409,470,412,425,459,505,444,422,449,493,435,441,505,355,344,457,384,319,380,335,424,305,330,322,359,370,351,335,268,283,277,253,225,324,214,242,222,217,246,188,173,212,172,214,168,228,200,138,191,88,80,96,84,108]
[54,56,64,78,48,60,66,68,92,72,134,96,124,154,219,96,165,212,171,173,168,146,169,230,220,257,307,278,281,265,233,339,348,316,319,292,344,363,399,316,417,325,409,402,422,452,457,412,342,367,451,414,452,447,402,420,399,449,377,421,411,529,457,441,386,423,370,430,471,387,463,526,416,486,494,406,452,490,432,422,458,519,477,429,476,473,475,382,403,448,411,460,447,447,412,413,424,422,348,454,385,436,399,394,348,416,367,466,401,365,435,424,376,386,402,332,324,360,388,302,279,293,326,340,237,265,318,237,256,278,236,166,240,247,253,239,256,214,185,98,100,192,94,174,162,90,84,62,76,62]
[60,62,72,64,88,66,80,92,74,80,86,80,189,184,194,86,180,206,204,96,254,228,206,161,185,210,226,239,317,235,253,267,325,286,262,279,330,274,285,365,289,346,251,316,374,315,355,360,308,339,269,386,426,338,365,434,447,328,404,371,372,368,390,377,403,366,446,382,365,367,330,438,358,421,397,415,362,418,399,413,373,380,375,387,441,424,441,470,428,416,382,326,395,397,438,347,422,349,511,375,348,340,352,420,354,303,359,418,435,359,305,377,299,392,330,365,312,227,303,339,338,262,317,331,283,222,329,198,204,336,202,197,253,199,210,228,257,210,201,184,179,173,70,162,94,72,88,74,68,52]
[54,40,46,72,80,66,58,40,78,90,74,94,115,94,84,166,150,136,207,182,209,182,197,185,226,250,271,284,173,217,236,200,262,292,278,283,347,287,327,289,285,335,275,306,293,313,373,334,446,351,350,440,375,375,436,345,382,363,452,470,296,265,389,334,362,409,320,351,348,361,340,365,338,326,410,379,407,399,384,394,328,377,340,423,380,421,332,358,421,349,335,357,332,398,334,421,347,342,360,390,366,377,350,309,378,279,303,400,334,279,375,283,328,289,264,332,259,336,313,279,254,247,241,245,266,218,225,190,181,195,196,134,232,190,230,239,156,214,135,120,94,192,94,94,86,70,72,52,78,62]
[42,58,60,50,72,52,66,74,88,78,76,72,155,90,167,98,78,136,217,187,191,191,196,215,235,191,242,226,198,168,191,281,244,212,186,303,252,274,281,247,274,300,361,359,344,313,365,251,297,272,351,259,305,312,391,311,294,358,302,301,337,378,300,332,328,304,379,361,363,344,304,381,348,306,392,316,294,379,301,384,308,292,320,324,353,368,362,373,358,325,313,243,325,333,354,265,346,284,388,283,293,344,320,309,377,287,243,291,274,219,283,295,275,212,220,308,294,214,254,303,254,186,264,243,202,191,176,196,251,182,219,161,201,207,173,169,173,218,178,96,82,86,96,80,76,56,82,82,42,50]
[56,52,62,74,62,74,64,62,82,68,74,70,96,88,72,166,185,199,174,218,100,202,98,126,134,215,222,138,173,260,181,195,167,208,300,251,277,264,285,307,261,249,296,270,262,270,294,305,284,242,285,293,284,264,309,332,312,289,319,351,290,328,289,400,262,362,287,312,330,270,220,324,366,270,273,313,305,319,236,342,341,307,232,281,320,320,292,292,328,286,268,247,248,252,298,292,300,285,308,313,331,282,293,322,263,277,283,270,331,270,337,250,219,268,277,228,238,205,238,222,199,253,264,204,204,170,175,274,166,200,142,189,220,86,100,159,98,130,122,92,177,64,80,68,98,64,74,56,66,52]
[30,40,50,40,68,58,50,58,42,54,82,88,86,82,88,135,74,125,88,92,209,117,188,126,197,152,160,247,224,236,216,174,255,214,238,230,243,206,191,224,251,239,248,251,274,261,255,237,334,310,326,293,244,316,350,335,240,325,244,283,306,208,280,240,286,296,340,359,279,237,339,327,350,288,285,375,262,310,348,314,290,305,293,242,278,247,313,261,332,285,279,293,274,285,316,296,291,354,239,239,304,233,249,301,237,227,293,220,228,241,249,216,201,267,177,256,197,252,208,260,239,203,194,247,201,207,172,202,238,219,158,155,212,205,177,185,202,144,76,196,72,177,74,86,64,42,66,46,62,46]

{"sheet":"Figure_1D_layer_11","index":11,"n_rows":150,"n_cols":150,"rows_kept":150}
[44,62,52,72,50,42,60,68,60,48,60,62,64,62,68,64,58,66,70,98,92,74,144,204,64,94,82,84,86,179,164,160,183,188,196,256,172,185,221,234,173,230,217,186,169,143,143,197,197,207,263,177,289,255,231,233,212,230,163,205,244,210,211,181,146,241,170,282,251,228,205,191,153,173,287,206,214,208,187,248,219,208,205,197,176,190,257,160,196,185,238,223,203,153,160,246,260,217,227,247,190,208,202,222,199,169,252,168,241,227,193,190,217,236,140,224,234,131,141,146,130,219,205,141,163,94,74,140,139,153,88,88,88,62,62,86,68,54,82,76,52,60,52,46,82,48,52,34,52,52]
[50,32,64,36,86,66,54,50,58,58,72,60,52,56,84,60,94,88,74,180,140,98,76,88,190,197,113,211,230,138,153,197,157,206,233,230,196,177,178,185,137,226,265,225,217,245,163,279,205,230,282,265,240,209,204,257,267,274,176,249,270,280,223,223,211,234,263,276,276,207,213,239,227,219,275,293,209,223,227,237,211,248,264,245,225,195,216,281,239,197,265,237,276,257,249,215,203,223,278,261,267,284,241,219,231,214,180,219,178,213,218,212,166,203,273,198,250,264,206,157,224,193,190,185,177,161,184,84,144,98,127,160,62,105,100,80,90,82,76,74,82,50,62,70,52,56,66,66,46,76]
[56,54,64,58,52,48,44,44,64,88,74,88,70,52,76,92,86,90,92,74,86,129,154,188,161,226,168,156,222,234,246,198,176,190,254,281,277,223,234,200,161,293,307,286,278,249,270,300,324,256,265,265,299,215,299,245,252,301,309,270,332,267,228,244,222,246,314,285,269,278,290,310,267,187,293,277,315,308,234,304,245,277,250,258,292,281,250,298,220,335,249,269,243,218,307,244,351,310,284,240,286,239,248,255,235,225,186,265,212,243,276,230,183,234,223,242,269,163,186,161,184,220,139,267,198,174,169,121,198,175,108,94,94,92,72,64,48,52,46,74,56,70,58,70,84,56,56,54,62,52]
[50,48,54,60,58,48,64,56,64,60,68,88,78,60,88,80,98,96,209,134,184,202,206,135,256,259,118,199,225,231,283,260,290,301,228,274,266,271,291,294,270,253,252,203,204,229,312,321,224,295,322,241,282,356,257,259,349,354,335,268,340,340,387,315,236,369,299,264,300,279,307,262,285,265,304,352,307,325,342,371,286,330,324,218,317,331,348,340,247,295,310,287,360,312,379,297,257,356,242,438,285,362,289,304,294,346,250,364,322,310,302,241,266,291,250,304,175,220,215,270,207,203,254,174,157,166,207,127,182,181,178,105,72,84,165,74,92,70,70,54,58,54,54,54,50,78,40,32,46,56]
[60,62,58,72,62,70,46,44,78,64,76,78,70,80,74,163,189,202,94,149,241,182,197,236,219,195,218,178,302,301,179,273,319,283,241,292,288,279,345,244,308,362,331,374,302,308,276,360,322,314,343,365,334,339,324,357,275,307,367,319,353,334,347,381,345,406,320,322,336,284,334,349,322,329,348,385,325,369,298,364,290,350,306,383,292,362,340,279,395,335,398,389,337,300,303,297,415,344,391,353,383,371,390,345,300,326,383,341,305,394,259,315,309,342,295,259,284,233,334,283,285,268,220,230,188,172,163,113,195,172,96,193,98,98,153,84,66,64,98,70,88,94,60,68,52,48,52,54,44,38]
[50,36,48,60,44,56,70,72,68,100,90,80,177,94,92,159,181,137,253,187,209,241,251,258,346,200,235,261,268,297,261,382,314,301,308,354,380,361,393,341,387,409,327,326,352,345,309,425,339,370,386,373,404,403,356,383,349,357,376,462,362,394,423,393,383,461,418,421,469,372,341,393,463,435,360,385,451,363,401,371,408,422,440,459,389,339,390,432,382,385,398,477,447,364,461,345,354,441,357,374,372,416,432,445,388,396,345,320,390,291,326,356,347,363,334,341,253,343,257,269,265,256,267,251,266,209,191,171,196,240,151,140,117,188,86,174,70,94,76,58,56,72,90,36,50,70,38,56,38,60]
[38,56,50,58,74,54,72,80,82,70,182,96,78,200,149,196,156,126,212,214,289,230,261,186,291,325,267,283,280,298,346,286,359,327,417,361,443,335,360,369,387,392,383,377,401,366,445,368,430,372,312,388,375,443,423,419,446,490,330,440,370,405,351,361,456,414,445,483,414,465,375,515,439,397,409,418,396,433,394,426,364,441,429,404,410,389,407,362,474,375,468,440,457,404,424,392,504,400,416,411,422,393,425,395,438,497,392,379,433,329,395,331,307,314,408,327,300,263,317,288,326,241,235,216,260,295,209,233,190,179,184,155,157,96,167,84,62,62,62,68,78,82,74,82,72,78,62,72,50,56]
[82,28,52,86,70,74,186,98,141,92,100,115,168,201,155,164,252,283,251,159,218,250,327,225,232,346,288,331,327,388,441,311,423,405,419,467,425,500,461,486,436,455,463,445,520,477,492,536,439,367,483,454,382,506,475,510,423,450,486,530,440,447,505,376,398,435,442,490,449,450,501,417,515,479,657,436,449,515,439,448,511,479,508,416,445,481,456,483,451,425,455,523,526,418,444,494,494,493,452,476,480,488,427,510,374,480,410,417,362,417,473,506,444,371,338,349,311,286,319,321,314,266,275,225,267,244,311,230,182,229,242,232,242,175,90,90,60,76,86,96,66,84,84,64,58,66,54,56,44,64]
[66,58,64,92,88,94,82,78,76,84,86,172,127,227,175,167,218,219,264,326,304,303,369,338,272,361,375,421,456,355,473,432,430,442,444,497,536,502,520,464,592,429,458,507,392,460,494,469,516,583,456,488,577,515,505,545,558,597,519,454,561,517,551,516,509,528,614,643,469,528,514,455,585,514,553,519,587,715,436,496,652,551,501,547,536,526,573,553,522,527,564,443,526,508,509,509,571,616,541,615,516,510,485,495,488,462,477,523,491,524,434,431,515,440,529,444,382,328,443,359,386,313,270,323,309,316,278,190,254,235,230,198,173,234,178,100,168,171,84,76,68,72,72,92,82,66,68,68,62,76]
[54,66,84,84,72,100,76,80,94,92,175,175,159,173,254,260,214,224,237,277,349,252,360,402,336,359,442,501,402,472,433,506,465,551,460,487,521,579,521,477,490,469,499,607,495,562,626,555,534,477,602,487,528,629,573,546,621,577,510,577,560,581,527,485,629,558,565,582,547,530,597,590,594,528,503,570,575,554,638,593,691,585,619,541,550,602,592,630,612,546,611,576,534,567,609,535,549,638,593,569,643,649,602,560,534,552,570,524,639,571,565,520,481,441,408,454,464,502,369,447,394,366,377,367,312,369,321,254,260,220,275,168,147,92,127,94,84,86,96,82,68,70,60,94,82,76,66,44,62,56]
[74,72,98,98,76,78,90,86,146,157,216,204,194,154,183,208,332,290,337,369,297,339,332,435,398,464,454,460,446,466,570,579,611,486,648,571,648,581,522,553,612,628,596,607,536,674,719,636,642,590,658,647,562,681,607,703,640,616,604,758,676,633,605,663,670,658,659,685,678,684,714,663,581,630,631,657,588,708,662,559,698,672,680,767,588,741,712,734,679,747,699,788,633,674,715,592,678,688,637,608,695,684,579,561,672,695,600,602,640,532,584,637,514,474,525,592,518,522,423,425,537,405,363,377,334,278,353,292,272,201,217,169,126,126,212,168,120,118,88,76,82,90,62,72,58,74,48,66,64,60]
[70,68,60,92,86,82,100,185,156,211,199,246,295,206,233,219,266,298,324,377,403,465,358,484,513,419,479,571,509,584,598,652,615,633,544,682,697,609,652,726,646,637,672,611,612,672,703,654,801,663,633,720,725,627,616,787,641,746,694,670,717,676,754,757,683,668,783,682,683,676,742,807,752,678,651,732,742,736,697,716,715,789,737,729,772,790,964,773,710,738,693,785,759,772,792,695,753,767,774,833,783,777,613,740,769,682,665,681,596,650,672,621,669,555,563,486,529,557,517,506,414,388,417,355,330,361,301,412,350,272,163,219,236,174,134,165,100,98,161,62,88,76,74,80,88,62,66,48,68,68]
[86,94,70,94,94,114,98,142,162,168,186,291,278,250,230,274,352,329,466,357,375,473,529,488,498,585,481,645,627,727,633,752,799,722,684,788,769,778,701,721,713,716,750,740,747,797,812,803,849,694,787,814,772,791,878,939,804,825,770,782,795,713,881,774,797,861,906,857,777,800,769,790,830,820,844,826,761,769,725,811,860,717,863,873,840,848,872,879,787,810,840,777,914,981,853,855,887,723,834,802,897,850,801,797,781,695,783,804,724,736,707,635,643,626,643,613,604,630,516,543,544,477,521,441,368,384,319,408,327,326,243,199,194,191,213,116,92,82,160,105,92,76,78,141,78,62,66,46,58,64]
[64,62,78,96,198,188,196,193,220,174,226,261,277,331,359,334,324,370,439,404,454,628,475,555,502,706,725,588,698,672,655,746,709,783,742,807,859,850,734,857,769,891,842,855,811,827,857,868,832,834,790,792,813,832,841,883,880,903,998,883,794,897,872,856,805,914,950,956,802,786,790,928,871,855,942,974,898,952,895,870,834,881,937,933,978,941,911,1009,796,865,836,988,929,952,933,1105,968,1032,924,836,977,818,858,918,908,835,819,808,799,787,810,657,632,726,628,746,628,554,626,601,575,536,487,461,366,407,389,318,308,335,302,243,253,279,232,229,192,98,90,84,88,74,84,66,58,62,66,78,78,86]
[60,72,143,142,106,208,175,139,149,186,262,224,340,227,342,421,345,393,457,451,473,550,621,636,815,637,778,715,857,806,855,823,925,802,887,885,845,1021,1025,916,1019,834,936,879,918,935,1020,954,861,954,955,930,885,983,998,1083,960,962,1164,1013,965,1164,944,1087,997,1018,1009,1085,884,1069,947,909,1021,1034,879,1037,1043,953,1029,926,991,958,1020,1024,993,1026,1141,1114,1059,994,921,898,1067,1020,1015,969,1126,956,1111,966,952,1072,919,965,1032,993,975,915,911,872,805,879,733,731,790,676,776,693,621,592,547,551,468,430,473,445,388,316,303,316,327,270,238,150,142,179,131,146,197,192,156,92,76,82,72,74,58,84,60,62]
[80,111,149,115,170,170,167,170,253,243,306,272,329,387,396,424,412,439,514,497,579,645,586,811,726,871,773,938,848,867,818,922,1067,1091,946,1021,963,960,1090,926,965,1083,1185,1123,1221,1123,1138,1013,1038,983,1065,1102,1180,1104,1210,1203,1050,1096,1108,1265,1042,1166,1200,1098,1362,1093,1170,1238,1223,1168,1158,1124,1177,1101,1081,1187,1062,1111,1180,1139,1026,1188,1088,1186,1199,1088,1259,1115,1090,1092,1110,1129,1103,1266,1181,1154,1160,1227,1118,1061,1158,1164,1000,1124,1027,1098,1127,1092,973,968,912,858,803,931,940,688,828,726,711,737,617,638,564,471,464,383,447,451,413,283,313,273,257,193,160,183,243,228,149,94,96,80,188,88,80,90,72,92,82,74]
[88,90,100,154,212,206,229,247,221,240,257,301,379,437,352,403,509,451,499,547,598,633,702,839,767,876,791,884,942,1176,1012,1045,1071,1053,1007,1073,1091,1048,986,1009,1059,1172,1091,1115,1190,1243,1129,1209,1072,1173,1118,1213,1253,1319,1116,1184,1279,1192,1127,1221,1165,1244,1221,1275,1232,1299,1280,1472,1180,1176,1237,1232,1181,1144,1215,1353,1294,1219,1315,1319,1301,1170,1281,1168,1287,1304,1241,1278,1175,1166,1249,1240,1228,1272,1202,1092,1255,1152,1266,1080,1236,1139,1147,1169,1437,1159,1146,1166,1086,1051,1085,954,974,964,1061,846,894,885,726,751,716,617,628,566,455,542,470,483,384,356,352,271,225,222,254,182,213,233,198,96,82,192,86,88,94,80,70,66,56,78]
[88,86,183,213,240,152,198,267,285,239,315,323,466,468,410,467,532,558,557,619,721,795,775,849,986,901,891,997,1005,1062,1141,1163,1317,1214,1229,1170,1200,1266,1257,1193,1360,1301,1266,1264,1270,1321,1296,1169,1362,1254,1360,1323,1326,1400,1256,1293,1385,1498,1238,1308,1368,1458,1381,1307,1465,1464,1407,1337,1343,1337,1673,1346,1375,1379,1384,1451,1463,1392,1359,1358,1291,1345,1291,1355,1365,1519,1334,1352,1385,1292,1281,1331,1397,1398,1427,1490,1303,1248,1320,1281,1319,1233,1355,1240,1192,1311,1194,1474,1126,1120,1200,1041,1098,1001,1013,1075,921,891,794,760,682,673,682,583,626,520,417,495,337,390,349,384,284,253,156,210,206,238,153,133,171,177,159,90,187,62,84,58,80,78]
[211,96,181,137,144,209,202,217,279,264,357,350,433,502,516,537,593,556,728,737,732,895,870,875,963,1123,1105,1198,1188,1155,1302,1239,1220,1272,1375,1585,1271,1538,1287,1292,1342,1337,1567,1416,1449,1415,1346,1437,1314,1398,1427,1391,1477,1489,1473,1535,1539,1527,1470,1490,1459,1503,1628,1585,1713,1524,1498,1561,1521,1586,1461,1595,1873,1433,1524,1530,1586,1417,1546,1466,1477,1591,1553,1531,1468,1539,1432,1464,1353,1517,1527,1566,1554,1431,1565,1555,1512,1522,1496,1473,1415,1478,1462,1422,1309,1374,1470,1349,1337,1390,1589,1292,1152,1318,1137,1145,1015,1025,993,871,795,737,735,568,595,519,559,479,480,350,281,373,334,322,279,234,224,188,184,150,145,159,58,100,84,167,82,82,88,66]
[94,157,161,191,232,161,208,224,280,326,426,407,450,403,497,614,737,603,768,706,831,948,938,1075,1139,1254,1291,1271,1293,1379,1291,1397,1404,1470,1628,1467,1450,1412,1705,1461,1431,1465,1507,1447,1525,1570,1528,1529,1450,1538,1527,1565,1654,1637,1679,1740,1700,1595,1621,1625,1688,1763,1814,1685,1724,1819,1729,1733,1688,1697,1730,1632,1725,1656,1682,2008,1779,1579,1593,1599,1707,1684,1734,1722,1579,1680,1573,1690,1537,1527,1627,1707,1658,1656,1632,1777,1709,1768,1561,1641,1625,1729,1700,1702,1573,1523,1433,1542,1465,1462,1412,1423,1274,1554,1264,1209,1183,1096,1009,896,886,906,806,747,659,585,616,503,528,480,385,387,378,246,311,233,230,149,249,181,192,133,199,94,94,96,74,135,78,70]
[96,208,149,203,269,252,266,296,289,343,388,382,501,563,483,673,696,826,895,876,925,1008,1055,1201,1350,1370,1395,1366,1430,1524,1611,1572,1691,1644,1609,1688,1725,1775,1611,1640,1654,2096,1788,1757,1709,1692,1901,1786,1800,1720,1873,1866,1875,1892,1824,1903,2050,1947,1786,1736,1883,1926,1872,1804,1925,1860,2005,1897,1978,1855,1869,2008,1906,2009,1819,1950,1857,1864,2240,1790,1935,1850,1930,1936,1893,1890,1879,1780,1879,1837,1804,1782,1856,1998,1941,1868,1883,1826,1815,1936,1784,1840,1846,1721,1931,1819,1646,1653,1667,1634,1513,1482,1511,1534,1308,1683,1276,1088,1109,1030,980,915,802,787,746,718,683,478,460,459,425,400,366,261,253,233,278,245,180,145,235,215,167,92,98,74,82,174,82,80]
[92,148,216,222,245,225,210,324,270,309,349,407,536,548,622,625,748,765,974,988,1121,1088,1215,1335,1337,1464,1549,1714,1620,1709,1621,1813,1890,1915,1921,1778,1797,2105,1747,1801,2010,2006,1968,2009,2310,2077,1962,1939,1976,1818,2129,2059,2080,2073,2018,2073,2069,1982,1966,2032,2017,2078,2115,2117,2248,2120,2068,2058,2084,1977,2096,2126,2232,2118,2153,2021,2118,2108,1994,2120,1974,2533,2033,2117,2104,2131,2149,1928,2149,2042,2173,2118,2074,2026,2172,2161,2030,1998,1891,1927,2017,2024,2075,2053,1873,2067,1965,1887,1866,1887,1788,1807,1845,1625,1733,1422,1412,1291,1343,1390,1104,991,902,814,824,674,648,552,535,438,383,394,321,346,286,288,294,184,183,194,140,137,211,167,186,82,76,72,96,74]
[187,210,198,204,182,227,225,260,359,466,392,416,434,576,678,722,713,865,943,1094,1187,1248,1376,1326,1536,1664,1594,1711,1699,1769,1903,2008,1908,2139,2036,2099,2060,1993,2073,1830,2028,2062,2149,2120,2236,2266,2144,2513,2072,2111,2064,2166,2261,2181,2251,2289,2342,2308,2218,2217,2215,2262,2308,2313,2378,2276,2368,2307,2317,2335,2330,2204,2408,2273,2193,2235,2196,2361,2281,2173,2232,2289,2230,2372,2699,2270,2319,2253,2223,2048,2305,2300,2343,2223,2290,2287,2213,2297,2252,2150,2241,2218,2281,2129,2130,2134,2188,1961,1983,2029,1965,1905,1828,1789,1754,1716,1641,1409,1348,1174,1170,1269,976,892,801,815,691,638,542,539,408,423,401,309,304,208,251,230,248,206,191,193,149,189,188,90,162,90,60,90]
[171,167,208,244,265,317,254,333,312,336,385,463,653,648,624,809,830,951,1118,1158,1266,1363,1627,1651,1665,1814,1818,1900,1903,1931,2020,2069,2112,2222,2182,2306,2200,2224,2279,2276,2162,2146,2427,2308,2301,2358,2433,2321,2471,2268,2783,2443,2463,2408,2573,2579,2535,2314,2333,2519,2571,2484,2488,2709,2592,2395,2462,2638,2368,2517,2528,2568,2511,2549,2466,2627,2474,2522,2364,2506,2532,2558,2613,2469,2706,2430,2472,2919,2441,2434,2495,2511,2451,2469,2537,2454,2417,2454,2328,2369,2342,2519,2440,2510,2460,2276,2314,2202,2174,2187,2277,2134,2146,2133,1953,1845,1863,1653,1487,1359,1276,1207,1045,1042,1053,847,716,603,578,578,457,329,380,343,297,275,300,305,265,194,201,156,181,135,181,96,152,180,76,98]
[195,196,182,201,242,315,307,369,431,359,558,520,490,589,702,864,1026,1077,1118,1231,1430,1633,1636,1745,1771,1920,2084,1997,2090,2245,2287,2413,2578,2560,2432,2565,2457,2498,2377,2268,2519,2612,2724,2582,2471,2567,2580,2607,2661,2477,2602,2729,2814,3425,2666,2775,2860,2948,2639,2661,2688,2931,2831,2956,2871,2817,2778,2716,2544,2697,2741,2865,2797,2931,2920,2997,2823,2784,2650,2721,2639,2927,2808,2858,2912,2816,2755,2813,2705,2729,3300,2877,2893,2811,2812,2796,2779,2624,2682,2572,2680,2841,2868,2662,2771,2581,2608,2487,2489,2486,2335,2349,2231,2100,2077,2112,1784,1733,1511,1436,1339,1258,1021,988,956,813,806,746,757,542,576,433,418,318,391,359,250,307,285,206,186,255,203,197,176,216,127,76,76,80]
[164,201,286,239,208,304,290,392,421,407,442,596,571,722,756,851,920,1037,1229,1634,1598,1775,1916,2024,2069,2152,2231,2269,2404,2243,2451,2640,2722,2772,2979,2786,2745,2701,2717,2558,2707,2836,2811,2910,2946,2743,2904,2671,2660,2837,2739,2949,2929,3133,3094,2988,3567,2838,2773,2973,2838,3100,3214,3113,3167,3177,3057,3031,2957,3037,3139,3194,3207,3215,3288,3168,2995,3190,3125,2938,3071,3037,3046,3227,3198,3226,3009,2966,2884,2885,2996,3228,3157,3707,3110,2996,2957,3023,2911,2695,2947,2961,3108,3154,2991,2847,2918,2780,2666,2541,2528,2602,2537,2543,2441,2264,2039,1876,1777,1468,1547,1314,1199,1040,1014,888,799,741,645,628,567,614,475,375,354,369,362,346,270,227,249,272,140,196,207,161,70,74,126,187]
[207,274,253,242,243,225,266,279,376,453,449,566,636,688,796,810,995,1114,1252,1446,1716,2412,2115,2375,2389,2515,2546,2449,2538,2761,2697,2963,3204,3089,3214,2909,2854,2975,2708,2739,2871,3005,3268,3186,3216,3048,3143,2904,3048,2876,3076,3354,3368,3537,3423,3338,3296,3129,3078,3776,3265,3458,3503,3714,3730,3360,3343,3288,3104,3128,3600,3427,3734,3791,3850,3768,3416,3310,3309,3283,3463,3402,3518,3678,3486,3367,3336,3228,3281,3058,3366,3426,3372,3482,3448,3170,3945,3156,3147,3301,3205,3308,3567,3631,3393,3181,3054,3022,2894,2979,2978,3005,3069,3065,2749,2515,2308,2053,1770,1663,1540,1348,1180,1158,1212,1071,908,848,760,702,575,536,500,539,369,350,346,295,257,196,204,246,182,161,222,159,221,156,98,72]
[198,219,169,254,239,361,283,448,471,461,560,680,651,736,903,930,1011,1206,1363,1594,1909,2137,2659,2683,3594,2884,2831,2719,2759,2673,3010,3170,3636,3922,3832,3350,3208,3253,3101,3113,3221,3428,3640,3710,3658,3557,3302,3156,3225,3252,3538,3565,3994,4122,3880,3607,3423,3273,3362,3348,3695,3625,5175,4024,3778,3938,3802,3627,3457,3643,3610,3957,4437,4632,4426,4141,3937,3732,3506,3670,3749,4031,4077,4266,4211,3893,3557,3603,3357,3683,3620,3795,3892,4226,3990,3643,3650,3466,3427,4104,3370,3793,3953,4102,3889,3634,3378,3083,3206,3096,3320,3438,3729,3761,3414,2873,2387,2277,1975,1788,1554,1474,1190,1213,1153,1115,937,901,741,665,636,559,425,471,415,373,372,357,296,241,247,245,253,168,187,198,196,132,78,88]
[193,217,255,331,309,312,338,363,510,515,595,731,811,890,981,1067,1314,1467,1879,2155,2663,3137,3550,3691,4195,3453,3128,2981,3162,3242,3770,4019,4232,4260,3818,3552,3358,3244,3504,3535,3886,4340,4468,4336,3974,3797,3535,3399,3459,3656,4163,4585,4652,4422,4225,4019,3581,3555,3612,3711,4120,4556,5712,4570,4354,4053,3665,3662,3822,4116,4431,5042,5216,4939,4760,4355,3886,3935,3872,4160,4535,5059,5063,4623,4398,4115,3825,3644,3688,3857,4249,4557,4918,4628,4324,3824,3673,3523,3579,4705,4612,4541,4897,4247,4146,3756,3491,3354,3410,3691,3804,4475,4191,3754,3270,2892,2549,2220,1885,1651,1632,1491,1191,1107,1082,1003,818,895,674,613,501,496,482,452,359,366,397,242,322,266,190,245,168,170,153,160,213,199,197,179]
[200,201,249,336,286,233,337,370,484,518,577,666,746,860,923,950,1180,1455,1668,2086,2654,3454,3939,4617,4721,4367,3971,4192,3412,3656,3814,4461,4780,5201,5215,4583,4372,3780,3587,3697,3995,4447,4927,5201,5012,4716,4379,3932,3690,3796,4267,4918,5586,5677,5486,5349,4580,4263,4090,4053,4606,5051,5611,5961,6778,5347,4752,4245,4169,4345,4860,5626,6281,6601,6180,5486,4864,4631,4491,4477,4823,5319,5642,6050,5475,5221,4759,4291,4140,4239,4558,5142,5295,5799,5597,5169,4645,4153,3947,4020,4621,5054,6560,5727,5358,4634,4222,3925,3752,3827,4047,4713,5139,5234,4696,3960,3375,2924,2433,2086,1783,1560,1401,1332,1324,1187,1050,844,845,758,638,564,459,419,476,366,380,346,249,284,245,278,208,211,131,220,148,98,100,94]
[227,277,293,325,353,264,336,441,531,475,569,706,748,793,959,1021,1174,1590,1662,2181,3000,3896,4950,6346,6834,5713,4876,4323,4047,4034,5210,5167,6053,6687,6719,5982,4947,4498,4257,4254,4643,5151,5985,6699,6669,5769,5061,4620,4239,4567,4842,5497,6528,7500,7301,6060,5538,4795,4464,4778,5121,5755,6710,7806,7259,6483,5659,6213,4822,5032,5472,6148,7325,8313,7660,6775,5720,5239,5300,5291,5678,5945,7132,7870,7417,6402,5449,4797,4664,4759,4949,5469,6811,7816,6861,5833,5245,4860,4618,4793,5093,5730,6776,7583,7397,7175,5095,4543,4461,4442,4709,5394,6521,7249,6558,4871,3925,3266,2666,2220,2042,1702,1443,1390,1318,1247,1008,906,810,762,740,668,555,500,387,438,347,279,314,342,289,205,316,177,232,172,148,108,88,92]
[250,272,284,338,364,424,370,388,516,575,630,695,813,900,947,1064,1300,1490,1693,2335,3120,4105,5726,8638,9500,6858,5693,4813,4306,4314,4410,5154,6396,10332,8664,6918,5585,4821,4559,4429,4830,5417,6989,9180,8788,6972,5654,4982,4692,4660,5250,5767,7696,9494,9604,7427,6098,5379,4965,5129,5332,6078,7579,9694,9651,7501,6424,5418,5191,5463,5714,7451,8657,10525,9660,7584,6578,5798,5574,5590,5776,6368,8317,10031,9218,7169,6085,5543,4984,5214,5384,6386,8244,9603,8679,6501,5788,5121,4992,5096,5582,6140,7663,9670,8855,6597,5913,4985,5422,4655,5105,5601,7801,9554,8233,5448,4476,3672,2991,2226,2066,1775,1480,1382,1186,1112,1046,1024,820,847,728,598,570,519,391,396,407,359,363,269,338,242,279,196,182,195,231,193,164,145]
[282,217,318,302,298,423,389,438,500,499,564,680,857,866,1012,1092,1341,1323,1827,2044,3008,3613,5087,7493,8777,6754,5294,4660,4327,4107,4281,4774,5722,7793,8544,7057,6716,5059,4216,4227,4605,5028,6383,8014,8299,6794,5897,5070,4589,4449,4949,5733,7101,9271,8800,6888,5786,5161,4848,4714,5159,5860,7305,9183,9334,7331,6401,5520,5077,5030,5461,6147,7568,10125,11521,7539,6315,5899,5318,5496,5451,6060,7484,9670,9108,7166,6072,5444,4955,4847,5282,5997,7145,9455,8439,6633,6157,5211,4726,4783,5323,6040,7257,9059,8475,7104,5828,4925,4637,4258,4625,6789,7324,8361,7355,5365,4457,3829,3019,2359,2144,1769,1615,1445,1285,1244,1137,950,835,781,649,583,671,512,467,389,323,391,329,314,243,291,256,268,216,179,189,167,217,124]
[186,236,330,331,414,324,426,479,502,508,642,763,735,847,1118,1312,1430,1464,1806,2113,2755,3219,4180,5443,6034,5305,4815,4279,3813,3793,3897,4393,5079,5916,6218,5708,5110,4659,4142,4745,4344,4522,5490,6087,6331,5665,4954,4749,4358,4102,4620,5217,5807,6681,6963,6393,5536,5101,4544,4218,4715,5125,6078,6998,7038,6449,5820,5168,4783,4729,4912,5906,6716,7650,7647,6895,6270,6681,5182,4946,5047,5810,6291,7459,7403,6685,5780,5505,4827,4707,4886,5415,6029,7016,6995,6390,5628,4919,4560,4431,4778,5154,5860,7011,6703,6038,5553,4853,4198,4157,4241,4616,5165,5961,7081,4847,4339,3802,3161,2485,2180,1962,1645,1476,1376,1204,1038,894,833,718,757,650,572,599,456,408,370,386,350,341,217,269,254,168,169,226,159,121,140,156]
[280,285,287,351,381,517,470,527,528,560,604,765,872,975,1096,1240,1359,1633,1869,2115,2432,2723,3535,4256,4688,4876,4232,3856,3662,3679,3528,3990,4813,5323,5378,5325,4898,4367,3957,3853,3931,4206,5667,5411,5704,5561,4639,4421,4269,4004,4116,4636,5456,6027,6156,5974,5089,4876,4553,4368,4335,4799,5261,6012,6579,5891,5603,4976,4636,4291,4770,5302,5914,6900,6800,6598,5938,5399,5293,4834,5962,5307,6165,6370,6664,6301,5436,5249,4818,4478,4567,4960,5903,6170,6285,5896,5260,4880,4483,4287,4308,4886,5447,6072,6143,5723,5023,4611,4344,3896,4043,4102,4738,5302,5394,4893,3908,4187,2938,2456,2328,1814,1704,1525,1368,1218,1095,1076,918,825,795,726,593,580,521,405,406,439,323,271,279,285,262,214,263,189,205,86,165,100]
[242,270,242,328,334,385,499,490,634,584,696,673,915,976,1026,1242,1467,1630,1945,2035,2281,2496,3238,3847,4105,3792,3446,3607,3718,3729,3817,3913,4317,4847,4653,4829,4373,4303,4342,4001,3903,4097,4400,4851,4857,5982,4289,4375,4301,4254,4132,4355,4749,5379,5673,5129,4643,4597,4494,4245,4368,4588,4952,5691,5596,5391,4588,4751,4621,4630,4558,4719,5341,6011,6104,5489,5167,5152,5148,4774,4753,4837,6407,5892,5899,5456,5073,4931,4932,4675,4726,4720,5261,5884,5613,5109,4888,4867,4558,4423,4358,4428,4975,5378,5319,5082,4653,4580,4268,3978,3845,3942,4460,4648,4900,3808,3381,3192,2746,2438,2452,1793,1672,1470,1299,1334,1083,1048,834,822,712,592,625,506,532,523,370,440,399,409,324,232,272,269,250,234,195,158,178,192]
[213,271,289,370,349,441,430,420,570,699,630,945,996,1034,1049,1253,1430,1782,1925,2147,2336,2721,3220,3479,3691,3634,3399,3434,3931,3941,4134,4121,4355,4480,4466,4341,4141,4163,4323,3997,4212,4367,4465,4926,4812,4590,4541,4332,5181,4417,4476,4315,4908,5167,5097,4797,4638,4631,4684,4426,4590,4710,5339,5568,5358,4986,4783,4533,4740,4819,4651,4858,5189,5656,5872,5230,4961,4940,5129,5067,5057,5194,5335,5805,5659,6300,4986,4698,5178,4932,4710,4976,5121,5517,5490,5173,4882,4772,4930,4893,4636,4603,4994,5092,5182,4785,4438,4421,4378,4501,3930,4184,4358,4387,4333,3626,3371,3017,2923,2607,2183,1985,1726,1986,1467,1361,1177,1077,938,733,735,687,606,618,557,474,444,437,334,281,295,236,268,209,200,230,166,146,213,174]
[287,369,350,337,384,387,500,583,635,580,738,815,874,1248,1115,1397,1571,1700,2047,2338,2596,2952,3386,3719,3875,3603,3555,3680,3760,3928,4025,4129,4879,4980,4832,4318,4189,4393,4392,4228,4347,4694,4841,5006,5341,4846,4480,4459,4472,4684,4421,5668,5165,5199,5195,4925,4614,4527,4773,4706,4679,5053,5464,5543,5723,5067,4873,4749,4793,4867,4765,4870,5335,5661,5470,5333,4788,4737,4961,5130,4888,5264,5752,5899,5982,5527,5078,4861,5928,5010,4834,5255,5589,5850,5584,5255,4907,4675,4907,4649,4674,4928,5124,5496,5336,4778,4338,4364,4324,4276,4323,4375,4648,4836,4308,3719,3319,3042,2859,2549,2160,2101,1821,1685,1466,1649,1143,1144,1017,865,892,676,610,594,501,515,469,363,320,371,316,301,269,260,257,157,200,195,200,98]
[276,355,323,398,401,395,407,525,576,651,675,757,914,1030,1135,1261,1757,1884,1968,2476,2856,3516,4027,4329,4269,4187,3703,3675,3798,4059,4357,4816,5280,5467,5189,5064,4574,4245,4371,4377,4298,4794,5417,5776,5369,5262,4971,4539,4619,4671,4715,4889,5655,5588,6811,5423,4730,4862,4695,4872,4895,5484,6072,6288,5784,5600,4939,4810,4718,4667,4883,5416,5862,6109,5941,5653,5324,4928,4930,5189,5197,5910,6312,6359,6536,5955,5249,5099,5017,4962,5185,6794,6097,6446,6098,5794,5155,4889,4994,4868,5110,5405,5580,5636,5424,5217,4677,4422,4592,4474,4477,4868,5262,5362,4985,4313,3634,3403,3105,2769,2335,2146,1861,1797,1600,1356,1389,1060,1257,951,797,774,752,594,547,500,429,357,344,374,347,307,269,311,225,190,196,220,137,215]
[307,383,376,423,362,447,494,569,591,657,842,909,950,1040,1277,1333,1565,1878,2119,3291,3470,4270,4828,5457,5520,4709,4515,4102,3781,4179,4772,5159,5824,6148,5915,5427,4824,4860,4475,4555,4650,5398,5929,6409,6290,5580,4996,4856,4888,4923,5088,5495,6033,6417,6391,5647,5020,5928,4769,5171,5343,6326,6818,7224,6900,5892,5524,4766,4958,5014,5202,6096,6657,6688,6851,5978,5615,5318,5157,5445,5723,6751,7259,7769,7405,6511,6018,5399,5321,5561,5790,6484,7011,7293,8072,6140,5570,5450,5350,5392,5664,6189,6470,6737,6214,5793,5383,4995,4649,4980,5238,5506,5993,6381,5912,4878,4250,3681,3340,2815,2480,2129,1890,1765,1725,1458,1289,1231,1059,911,859,841,686,631,597,510,412,466,357,310,261,330,209,195,254,217,230,164,209,144]
[309,279,386,465,516,388,496,592,660,820,837,900,1002,1123,1177,1505,1527,1770,2324,2810,3698,4718,7501,7643,6948,5931,5452,4796,4564,4708,5465,6014,7251,8167,7639,6304,5710,5115,4938,4970,5630,6389,7498,8589,8040,6414,6071,5366,5282,5269,5711,6246,6948,7962,7589,6638,5837,5401,5101,5130,7144,6861,8478,9618,8061,6724,5967,5400,4947,5413,6017,6378,7745,8804,7989,6527,6004,5610,5465,5857,6501,7372,8655,9516,8411,7148,6419,5828,5579,5746,6558,7317,8350,9335,8355,7152,6346,6851,5305,5678,5817,6678,7948,8627,7195,6405,5557,5105,5028,5664,5989,6323,7665,8423,7116,5589,4909,4290,3337,2797,2491,2199,2042,1800,1529,1526,1358,1281,1025,1021,907,728,679,603,639,503,431,369,406,296,322,242,244,257,251,201,169,175,120,209]
[313,371,399,425,437,462,464,532,681,723,804,939,1070,1164,1336,1427,1556,1866,2308,2776,3743,4615,6613,8948,9438,8308,5626,4872,5032,5058,5558,6444,8291,9876,9045,7048,6206,5376,5066,5282,5448,6448,8515,10219,9428,7667,6401,5755,5518,5515,5830,6859,8079,10128,9245,7487,6577,5749,5703,5632,6118,7152,9336,13471,10127,7611,6587,5542,5315,5651,6097,6518,8608,10327,9425,7316,6386,6201,5765,6179,6728,7662,10063,12016,10007,7996,6929,5975,5925,6141,6908,7515,9704,11187,10179,7669,6572,5870,5853,5903,7626,7120,9180,10451,8997,7400,6088,5671,5416,5631,5946,6740,9395,10173,8231,6394,5322,4470,3583,2984,2561,2187,1961,1911,1681,1452,1367,1126,1132,915,863,800,704,591,588,511,438,435,424,406,296,308,297,269,230,195,247,159,165,231]
[304,363,398,389,469,522,496,580,649,742,786,929,926,1053,1160,1375,1673,1879,2059,2675,3226,4073,5627,7857,7717,6532,5549,4945,5281,4647,4938,5723,7084,8333,8032,6807,6067,5531,4972,4946,5418,5976,7646,9103,8768,7155,6106,5528,4808,5037,5662,5934,7368,8673,8423,6800,6423,5811,5282,5215,5845,6619,8370,9960,9278,8609,6286,5709,4955,5129,5527,6021,7809,8921,8473,6967,6241,5691,5560,5581,6130,6732,8679,9739,9162,7700,6524,5863,5521,5652,6081,6731,8356,9306,8963,7673,6718,5902,5588,5423,6023,6335,7411,10719,8019,6598,5970,5270,5084,5044,5638,6314,7882,8518,7202,5991,5295,4294,3370,2864,2593,2199,1865,1783,1533,1461,1255,1178,1120,947,848,750,653,614,541,483,440,436,448,311,399,287,278,246,272,263,177,213,143,180]
[362,355,381,331,397,464,442,658,663,706,824,943,991,1185,1273,1548,1737,1896,2172,2484,2919,3547,4584,6054,6352,5595,4931,4633,4224,4178,4327,6236,5949,6868,6777,5935,5580,5024,4761,4660,4712,5510,6329,7066,6789,6253,6000,5236,5033,4933,5084,5626,6676,7202,7458,6387,5952,5483,5156,4948,5556,5689,6902,7627,7620,6663,6156,5447,5940,4900,5319,5834,6848,7397,7127,6717,6146,5332,5190,5307,5673,6285,7455,7955,7750,6892,6483,5982,5301,5394,5695,6492,7283,8113,7612,7186,6604,5552,5381,5131,5334,5676,6586,7230,6975,6208,6779,5156,4882,4833,5286,5511,6411,6745,6466,5438,4912,4322,3538,2942,2758,2374,1977,1730,1752,1397,1205,1260,1073,908,914,741,679,620,620,562,501,487,472,363,333,351,341,406,310,285,212,184,215,128]
[358,467,349,541,496,547,586,678,736,901,939,1078,1191,1282,1537,1754,1905,2350,2451,2728,3312,4371,4967,4893,4479,4316,4241,4040,4017,4271,4756,5360,7281,5841,5676,4995,4783,4507,4218,4483,4837,5675,6080,6148,5894,5421,5066,4975,4770,4815,5545,6133,6538,6423,5940,5450,5202,5193,5009,5230,5603,6307,6668,6597,5940,5520,5079,5177,4751,5821,5590,6186,6548,6411,6310,5333,5334,5140,5139,5114,5979,6748,6968,7086,6387,5897,5747,5253,5081,5393,6253,6784,7010,7020,6587,5782,5573,5432,4911,5163,5676,6183,6671,6177,6034,5274,6127,4782,4734,4369,5345,5768,6132,5573,4670,4096,3743,3341,2807,2467,2176,1855,1765,1609,1362,1362,1220,1088,996,880,837,758,565,476,480,438,397,432,369,345,259,308,272,301,224,140,165,194,166,131]
[354,370,361,414,429,454,617,587,634,713,824,873,1001,1121,1219,1421,1749,1898,2173,2480,2490,2925,3671,4109,4234,3801,3964,3969,4170,4339,4155,4156,4803,5128,6084,4794,4531,4529,4702,4603,4520,4520,5078,5253,5328,5185,4748,4807,5010,4859,4806,4932,5372,5985,6079,5495,5080,5265,5129,5031,4773,5180,5768,5790,5810,5655,5010,4960,5092,4907,4979,4894,6537,6038,5808,5432,5343,5154,5322,5458,5068,5294,5754,6255,6435,5685,5502,5467,5466,5486,5209,5554,5909,6296,6307,5882,5439,5399,5505,5137,4837,5060,5488,5845,5723,5584,4997,5072,5173,5791,4524,4590,4981,5289,5008,4109,3738,3644,3240,2814,2514,2161,1924,1768,1602,1470,1374,1245,1137,1020,907,903,684,592,498,537,484,444,442,386,353,273,276,233,300,287,247,143,142,154]
[359,334,315,445,424,473,610,596,717,744,842,973,1077,1137,1290,1468,1710,1806,2068,2261,2508,2871,3406,3782,3835,3496,3438,3641,4037,4164,4228,4398,4460,4942,4939,4606,4321,5106,4445,4532,4530,4381,4670,4977,5110,4725,4839,4565,4842,4855,4800,5056,5354,5457,5497,4980,4844,4932,5123,5213,4899,5080,5402,5490,5519,5336,4736,4767,4955,4886,4930,4912,5099,5516,5541,6184,4960,5028,5341,5127,5091,5393,5454,5712,5886,5468,5117,5341,5269,5241,5129,5068,5537,5798,5808,5453,5050,5188,5170,5032,5208,5170,5447,5431,5314,4956,4627,4850,4871,4947,4505,4570,5727,5131,4757,4091,3555,3401,3114,2753,2562,2385,1886,1835,1876,1489,1435,1186,1124,1007,796,862,732,605,607,580,481,488,362,372,387,284,238,266,285,205,279,210,212,254]
[335,408,340,429,505,497,520,628,663,828,918,1031,1047,1236,1519,1579,1760,1958,2276,2640,2853,3296,3816,4097,4213,3943,3586,3882,4146,4283,4474,4797,5024,4981,5274,4959,4730,4582,4560,4723,5511,4816,5283,5376,5338,5158,4981,4748,4837,5153,5085,5272,5542,5778,5763,5437,5157,5204,5190,5202,5186,5413,5823,6232,5998,5508,5273,4944,5117,5259,4971,5383,5676,5858,5783,5478,5126,5834,5284,5006,5099,5599,6046,5792,5938,5504,5140,5273,5459,5180,5312,5741,5976,5992,6088,5580,5446,5252,5477,5197,5323,5394,5585,5928,5745,5281,5085,4867,4752,4934,4679,4901,4998,5021,4806,4945,3676,3436,3204,2742,2736,2356,1946,1955,1651,1558,1460,1257,1227,1027,878,867,678,669,641,495,531,425,376,402,389,334,298,329,257,255,163,255,214,214]
[334,329,371,374,472,436,620,673,795,705,836,957,976,1177,1257,1487,1771,1974,2428,2650,3052,3781,4219,4698,4812,4532,4269,3930,4097,4530,4478,5099,5636,5755,5446,5301,4840,4715,4717,4565,4902,5291,5769,6866,5697,5424,4975,4800,4993,5078,5406,6043,6770,6469,6466,5981,5541,5328,5322,5391,5490,6394,6642,6749,6591,6131,5603,5449,5092,5241,5368,5780,6194,6439,6189,5848,5728,5349,5458,5213,5392,7160,6622,6478,6344,5741,5501,5331,5336,5189,5675,6223,6689,6610,6341,5889,5618,5501,5542,5421,5623,5865,6700,6390,6338,5767,5105,5111,4912,4901,4998,5429,5846,5744,5195,4762,3934,3726,4098,2978,2721,2401,2099,1987,1713,1582,1380,1303,1119,978,957,794,775,661,549,581,545,441,401,368,408,407,295,302,281,283,203,159,214,162]
[288,306,427,412,470,477,504,645,766,923,886,1017,1131,1282,1416,1475,1755,2083,2401,2991,3687,4270,5267,5747,5699,4945,4530,4660,4384,4560,4968,5678,6296,6516,6424,6101,5319,4991,4781,4905,5119,5789,6121,6667,6636,6099,6550,5307,5541,5360,6082,6396,7336,7485,7580,6664,6234,5641,5684,5564,6370,6627,7482,7687,7606,6766,6217,5908,5434,5691,5835,6492,6830,7287,7048,6661,5977,5623,5552,5539,5946,6396,6962,8770,6947,6482,5745,5449,5431,5889,6328,6800,7306,7364,7299,6599,5888,5994,5612,5988,6293,6984,7196,7500,7179,6274,5761,5572,5160,5226,5638,6018,6277,6648,6176,5305,4364,4103,3625,3033,2630,2881,2064,1882,1756,1545,1426,1316,1108,1035,899,857,695,710,643,535,573,438,374,488,381,281,264,334,302,302,267,212,228,162]
[323,345,373,434,438,547,528,590,658,712,854,1018,1354,1315,1419,1592,1727,2012,2459,3000,3849,4533,6303,7743,7411,6386,5662,5000,4841,4999,5618,6142,7333,8448,8040,6869,5840,5512,5277,5546,5923,6433,7498,8045,8127,6863,6326,5792,5610,7000,6578,7390,8855,9688,8863,7544,6886,6210,6160,6164,7202,7938,9366,10302,9169,7741,7063,6285,5806,6201,6602,7082,7958,9141,8635,7415,6445,6079,5855,6236,6404,7097,8263,9261,8221,7439,7872,6157,5997,6294,6750,7549,8759,9280,8504,7245,6549,6168,6023,6303,6736,7480,8980,9495,8089,7074,6383,5841,5572,5791,6073,6898,8207,8981,7423,5804,5147,4383,3803,3121,2849,2593,2191,1970,2156,1668,1577,1362,1192,1070,980,910,813,691,616,589,506,507,400,500,314,306,361,342,270,288,273,252,244,257]
[337,385,423,428,487,501,620,679,818,758,862,1025,1220,1331,1434,2093,1847,2186,2608,3219,4092,5218,7273,9668,9323,6965,5986,5286,5089,5381,5526,6299,8143,9980,9122,7321,6040,5586,5526,5578,5854,6337,8146,9887,9520,7386,6576,6280,5764,6135,6495,7520,11671,11366,10014,8228,7411,6548,6181,6347,7232,8352,10553,11662,10316,8738,7268,6663,6444,6475,6749,7434,9011,10563,9584,7814,7009,6295,6038,6430,6583,7293,9105,10951,9769,8064,6823,6219,5982,7653,7020,7576,10208,11049,9429,8014,6875,6257,6395,6610,7120,7926,10292,11700,9962,7829,6838,6100,5965,5901,6432,6947,9957,11221,8735,6901,5588,5085,4089,3444,2714,2402,2046,1949,1847,1666,1448,1480,1205,1057,872,850,626,639,681,548,539,487,353,429,308,330,274,257,326,223,214,218,253,197]
[383,380,363,428,428,583,523,613,819,778,921,1017,1078,1237,1378,1498,1899,2040,2871,2930,3720,4503,6252,8221,8283,6715,5965,5212,4856,4890,5284,5910,6924,8409,8242,7143,6280,5821,5251,5154,5781,5981,7425,8658,8569,7477,6528,6028,5475,5442,5847,6320,8114,9651,9799,9722,7083,5986,5684,6067,6409,7259,8752,10216,9895,8453,7438,6377,5920,6038,6406,7027,8015,9746,9406,7671,6915,6218,5785,5931,6456,6996,8327,9610,8941,7667,7138,6159,5907,5950,6360,6942,8294,11329,8657,7657,6589,6341,5929,5860,6457,7198,8541,9991,9066,8017,6734,6175,5560,5691,5935,6674,7750,9428,8294,6753,5493,4799,4036,3321,2979,2646,2226,1932,1947,1720,1435,1327,1207,1109,1189,786,773,613,651,510,515,495,400,480,434,377,324,328,363,267,184,199,241,235]
[345,362,494,447,590,561,606,633,743,863,968,1064,1141,1303,1405,1515,1886,2147,2367,2744,3138,4686,5167,6143,6166,5454,4846,4619,4522,4381,4683,5277,6071,6742,6526,6364,5605,5339,4942,4569,5000,5425,6260,7134,7009,6347,5702,5651,5230,4934,5582,6097,7062,8087,7775,7540,6410,5891,6852,5391,5667,6454,7450,7918,7583,7073,6337,6007,5569,5434,5912,6146,7342,7694,7556,7084,6177,6086,5937,5589,5811,6363,6930,7924,7550,6841,6247,6056,5598,5385,5996,6773,7232,7971,7799,8135,6082,5735,5465,5388,6038,6535,7591,7975,7471,6580,6160,5529,5041,4909,5230,6017,6782,7404,6466,5358,4897,4481,3709,3173,2602,2389,2193,1942,1840,1536,1609,1238,1188,1155,948,842,803,810,663,566,487,476,449,325,268,346,302,224,259,227,222,221,187,131]
[436,370,463,412,503,582,658,716,748,919,918,1120,1219,1341,1424,1633,1959,2106,2273,2679,2951,3289,4230,4963,6275,4955,4386,4481,4387,4476,4487,4879,5588,6009,5960,5709,5476,5061,4869,4563,4747,5153,5999,6064,6336,5919,5459,5029,5100,4875,5149,5643,6348,6796,6528,6658,6080,5549,5610,5413,5480,7217,6794,7043,7199,6645,6227,5721,5559,5332,5402,6034,6477,6860,6686,6545,6025,5649,5455,5492,5601,5971,6570,6988,6764,6343,5987,5717,5431,5439,5408,6244,6487,7166,7032,6396,5940,5792,6619,5130,5454,6029,6517,6966,6920,6307,5808,5427,4942,4891,4998,5214,5961,6090,5824,5140,4231,4160,3655,3067,2568,2399,2173,2024,1794,1571,1413,1299,1260,1060,1011,871,773,673,655,661,633,466,404,445,427,403,285,227,284,280,192,247,210,220]
[370,381,461,463,493,585,666,680,792,835,889,1064,1115,1308,1467,1660,1815,2046,2245,2663,2798,3297,3899,4377,4585,4056,3861,5099,4422,4463,4513,4762,5093,5289,5260,4822,4810,4822,4692,4876,4792,4989,5334,5708,5647,5290,4970,5137,5090,5417,5043,5277,5648,6208,6150,5720,5458,5426,5486,5328,5217,5434,5866,6367,7619,5822,5394,5616,5476,5599,5272,5447,5775,6137,6130,5553,5572,5355,5385,5480,5198,5634,5980,6151,6282,5802,5533,5336,5547,5440,5297,5614,6091,6248,6210,5746,5457,5446,5419,5433,5389,6326,5846,6160,6021,5577,5385,5421,5142,5106,4655,4738,5152,5629,5188,4418,4029,3946,3384,2974,2556,2378,2119,1950,1726,1528,1480,1375,1195,1018,934,881,784,672,653,569,514,500,435,505,373,344,271,301,281,273,249,160,228,159]
[406,424,371,570,584,626,611,708,754,824,909,1081,1171,1377,1528,1665,1860,2053,2475,2567,2973,3334,3889,4109,4231,4138,3971,4232,4298,4468,5460,4855,5188,5188,4965,4811,4771,4529,4735,4848,4730,4844,5127,5354,5158,5220,5019,4813,4956,5184,5158,5245,5632,5909,5668,5284,5269,5270,5384,5299,5331,5413,5445,5936,5986,5476,5362,6338,5181,5184,5296,5547,5608,5888,5894,5459,4987,5433,5370,5471,5466,5547,5935,5865,6026,5666,5460,5297,5369,5482,5509,5491,5768,5975,5916,5737,5479,5174,5378,5481,5201,5198,5870,5888,6651,5463,5226,5381,5229,5043,4770,5110,5204,5370,4951,4388,3869,3585,3281,2971,2673,2457,2222,1998,1711,1576,1478,1410,1234,1082,935,907,799,728,708,575,537,540,526,466,403,416,262,298,288,260,210,177,272,217]
[332,410,366,454,475,625,733,702,837,978,1023,1121,1190,1359,1421,1533,1762,2172,2416,2830,3148,3687,4066,4565,4616,4199,4275,3962,4378,4515,4657,5008,6576,5350,5497,5136,4884,4774,4767,4762,4935,5102,5384,5770,5589,5266,4827,5061,4979,4890,5148,5604,5876,5877,5830,5729,5231,5170,5342,5354,5640,5527,5965,6426,6040,5797,5479,5301,5396,5485,6342,5544,6101,6369,6152,5642,5556,5362,5442,5551,5469,5782,6369,6155,6132,5679,5356,5560,5518,5510,5555,5964,6175,6239,5932,5852,5433,5321,5524,5557,5448,5855,6037,6329,6176,5445,5168,6177,5262,5044,5014,5149,5460,5381,4777,4206,3933,3540,3281,2989,2784,2440,2164,2033,1842,1712,1569,1301,1263,971,936,832,818,789,648,629,538,582,430,429,410,301,293,287,380,238,228,162,179,157]
[377,375,397,495,613,539,621,813,720,860,837,1122,1244,1381,1554,1804,1934,2223,2652,3149,3483,4174,4924,5241,4937,4810,4295,4481,4332,4579,4865,5495,5964,6113,5991,6483,5137,4813,4872,4997,4795,5365,5841,5692,5685,5665,5510,4999,5042,5241,5269,6077,6445,6256,5976,6205,5415,5338,5673,5499,5887,6543,6849,6831,6534,6184,5765,5530,5649,5357,5717,6359,7965,6739,6322,6106,5508,5467,5675,5685,5904,6684,7011,7105,6716,6354,5784,5829,5639,5620,6102,6717,6761,7103,6692,6618,5905,5449,5840,5691,6197,6737,6950,6814,6448,5937,5479,5303,5220,5227,6600,6029,6570,6234,5474,4559,4315,3847,3541,3228,2636,2443,2067,2005,1833,1691,1458,1295,1255,1126,1009,899,857,705,656,625,582,551,492,507,325,383,347,310,353,272,294,287,258,236]
[310,457,477,533,523,558,557,718,794,847,978,1005,1272,1390,1471,1739,2099,2294,2685,3290,4450,5005,5846,7170,6343,5870,4931,4795,4939,4935,5536,6245,6976,7281,6696,6507,5814,5460,6265,5235,5907,6108,6567,6632,6188,6053,5576,5426,5437,5621,5843,6619,7038,7204,7010,6359,6136,5836,5796,5916,6660,7200,7465,8400,7603,6874,6515,6012,5762,5988,6542,7085,7664,7620,7440,7654,6154,5876,5942,5928,6658,7334,7693,8645,7663,7044,6074,6359,5572,6272,6803,7110,7958,8163,7653,7122,6468,6219,6029,6130,6825,7324,7915,8010,7528,6941,6275,5597,5618,6010,6288,6590,7232,8301,6524,5905,4856,4347,4000,3111,2871,2493,2294,2034,1897,1716,1699,1542,1255,1158,1059,893,814,700,740,592,599,509,446,452,331,430,364,356,309,295,297,159,163,164]
[352,453,414,475,503,572,630,674,699,773,1036,998,1122,1380,1449,1648,1992,2212,2673,3488,4330,5467,8800,9257,8251,6703,5745,5373,5153,5536,6113,6699,8477,9514,8818,7076,6638,5843,5550,5677,5903,6382,7322,8620,7405,6615,6290,5768,5742,5664,6362,7123,7924,9597,8184,7538,6637,6319,5941,7364,7147,7646,9376,10363,9285,7704,7107,6221,6171,6525,6884,7781,9451,9628,8852,7810,6818,6457,5965,6494,7068,7550,9629,10836,8945,7809,7099,6465,6344,6491,7171,8014,9550,10465,9188,8095,8242,6485,6237,6875,7335,8274,9653,10409,8949,7295,6789,6211,6167,6448,6818,7590,9359,10046,8184,6565,5482,4702,3884,3372,2743,2484,2191,2002,1876,1745,1528,1483,1211,1097,1055,883,844,740,928,561,543,517,373,407,355,378,331,278,287,239,238,194,189,198]
[374,350,501,501,510,581,711,664,698,782,965,1018,1240,1362,1514,1698,2071,2077,2720,3318,4301,5624,8198,10827,10369,9178,6285,5642,5349,5523,6058,7133,9117,11794,9542,7887,6919,6017,5597,5554,5977,6694,8156,9592,9011,7014,6349,5777,5623,5823,6407,7189,8672,10458,9295,7944,7173,6407,6142,6309,6902,7802,12332,11931,9645,7936,7131,6810,6340,6307,6831,7562,10185,11515,9821,8046,6915,6427,6214,6254,7083,7876,10599,12510,10455,8577,7500,6445,6378,6572,7191,8068,10338,12064,10596,8426,7449,6472,6170,7926,7086,8259,10783,12054,9516,7738,6952,6090,6165,6300,6958,8382,11015,11256,8314,6732,5586,4599,3827,3269,2743,2436,2188,2007,1798,1744,1530,1435,1206,1167,1022,874,746,728,732,572,539,616,444,361,388,344,377,248,320,306,197,279,193,178]
[369,389,512,438,556,556,688,664,775,966,989,1076,1187,1341,1580,1802,2104,2224,2527,3274,4191,5346,6779,9270,8812,7107,6173,6622,5083,5435,5828,6630,8220,9373,8551,7259,6578,5935,5489,5314,5556,6094,7561,8583,8206,7134,6398,5857,5471,5748,6041,6627,8294,9057,8674,7185,6540,6296,5897,6026,6507,7173,8482,10020,9091,9461,7002,6345,6045,6276,6820,7866,9077,9989,9021,7575,6810,6019,6241,6227,6819,7637,9488,10288,9186,7721,6990,6487,6179,6308,6772,7773,9231,10443,9414,7932,7191,6393,6065,6235,6917,7334,11174,9994,8264,7500,6728,5936,5643,5928,6318,7454,8986,9528,8079,6527,5530,4762,3808,3303,2742,2297,2262,1900,1731,1689,1473,1237,1228,1170,930,970,776,672,652,694,561,451,479,564,385,339,350,304,201,307,189,259,209,158]
[283,367,402,499,546,531,647,703,787,866,983,1086,1191,1281,1578,1623,1821,2115,2539,2923,3477,4030,5421,6699,6805,5952,5391,4884,4677,4646,5842,5825,6784,7524,6994,6263,5940,5642,5302,5068,4981,5853,6785,6768,6710,6362,6110,5510,5366,5358,5595,6174,6996,7403,7021,6662,6382,5903,5589,5356,5830,6433,7495,8150,7890,7314,6624,6070,6551,5444,5972,6368,7686,8055,7808,6908,6580,5839,5619,5620,6114,6974,7607,7748,7678,6882,6342,5902,5629,5521,6087,6807,8028,8316,8071,7274,6580,6206,5752,5749,6158,6684,7625,8246,7419,8345,6119,5545,5262,4982,5716,6201,7534,7482,6879,5511,4874,4288,3729,3138,2639,2446,2080,1913,1851,1623,1403,1337,1272,1056,874,820,801,712,668,537,572,555,390,398,373,357,455,257,350,232,217,157,186,179]
[377,414,539,481,558,568,761,741,902,935,1015,1175,1131,1416,1530,1829,1953,2328,2444,2918,3132,3625,4371,5349,5457,5330,4591,4437,4431,4426,4485,5047,5524,7572,6223,5848,5659,5303,5250,4851,5008,5452,5743,6123,6186,5934,5517,5233,5303,5238,5376,5567,6352,6737,6805,6429,5859,5545,5610,5224,5379,6014,6692,7151,6909,6607,5916,5613,5546,5248,5586,6998,6501,7113,7231,6657,5729,5694,5722,5447,5432,6320,6712,6997,6828,6600,6244,5682,5488,5446,5651,6165,6785,7191,7296,6587,6047,5910,5712,5566,5325,5914,6580,7079,6849,6376,6017,5289,6367,4902,5088,5530,6135,6375,5728,4927,4199,4212,3612,3084,2546,2350,2121,1953,1835,1764,1503,1304,1350,1149,917,973,819,734,659,697,528,493,390,418,468,360,321,370,256,276,204,259,233,187]
[354,441,496,463,590,603,730,791,745,858,1008,1042,1199,1340,1428,1710,1908,2178,2385,2712,2835,3524,3897,4788,4612,4257,4020,4130,4228,4710,4679,4851,5176,5730,5595,5473,6139,5334,5293,5026,5146,5199,5552,5719,5548,5489,5128,5425,5295,5124,5255,5416,5948,6024,6440,5629,5468,5446,5720,5623,5415,5761,5859,6515,6286,6154,5434,5569,5644,5734,5492,5712,6085,6619,7832,5672,5603,5490,5882,5769,5273,5913,6055,6485,6377,5611,5568,5669,5796,5636,5454,5734,6296,6468,6500,5932,5667,5952,5641,5509,5458,5684,6214,6219,6318,5713,5572,5328,5303,5029,4778,5852,5357,5376,5236,4401,3997,3754,3438,2982,2791,2387,2238,1978,1831,1591,1426,1311,1199,1092,953,878,821,728,633,602,487,576,453,369,372,427,364,302,233,356,242,197,218,227]
[366,343,493,491,524,615,658,737,893,893,959,1022,1241,1412,1651,1647,1979,2188,2561,2893,2994,3620,4098,4244,4387,4090,3863,4236,4488,4556,4702,4811,5188,5140,5146,4910,4865,5110,5077,6158,5223,5126,5673,5796,5438,5271,5353,5191,5244,5156,5271,5622,5728,5916,5994,5670,5719,5539,5621,5592,5527,5661,5832,6302,6160,5676,5609,5431,5745,5490,5357,5823,5948,6183,6126,5898,5450,6883,5768,5568,5571,5765,6002,6191,6174,5784,5629,5741,5854,5697,5716,5690,6052,6479,6059,5838,5597,5481,5815,5691,5659,5542,5806,6043,6004,5512,5413,5172,5477,5010,4844,4787,5223,5242,5876,4163,3840,3617,3293,3059,2625,2424,2173,1968,1796,1702,1527,1297,1211,1140,993,856,873,642,631,569,609,479,415,456,431,303,314,301,311,269,338,207,208,243]
[338,388,424,502,533,722,623,796,870,868,1030,972,1199,1308,1373,1712,1943,2270,2506,2801,3108,3538,4120,4314,4550,4116,4048,3970,4378,4597,4726,4932,5512,5245,5270,5228,4869,4917,5050,5158,4992,5312,7033,6030,5803,5374,5355,5286,5277,5121,5068,5527,6166,6342,5859,5705,5238,5370,5381,5396,5347,5399,6114,6170,6484,5706,5369,5264,5474,5622,5477,5826,6222,6395,6201,5594,5456,5550,5151,5671,6683,5829,6413,6202,6058,5731,5853,5416,5613,5650,5634,6069,6551,6474,6486,5958,5415,5396,5493,5387,5389,5848,6082,6311,6224,5812,5200,5039,5081,5066,4618,5192,5469,5490,4984,4141,3768,4166,3312,3057,2677,2612,2160,1952,1924,1828,1479,1317,1215,1086,1049,906,790,767,620,562,536,501,505,435,410,287,382,289,325,273,271,254,240,247]
[418,406,443,482,490,582,729,668,949,840,1087,1074,1118,1268,1554,1663,1938,2198,2759,3160,3545,4344,4791,5234,5125,4514,4386,4137,4291,4227,4575,5299,5824,5937,5982,5464,5413,5001,5104,5137,5522,6145,6388,6406,6188,6981,5501,4952,5120,5251,5330,6270,6646,6408,6528,5966,5750,5307,5605,5548,5486,6334,6737,6513,6686,6321,5907,5496,5467,5681,6024,6229,6779,6747,6652,6226,5983,5690,5551,5681,5707,6365,7989,6783,6235,6114,5520,5615,5611,5667,5976,6767,6867,7059,6638,6285,5968,5699,5785,5614,5995,6343,7009,6885,6380,6095,5500,5256,5235,5198,5467,5825,5822,6127,5472,4771,4079,3789,3349,3096,3282,2423,2245,2010,1806,1681,1595,1421,1211,1145,981,931,819,750,741,645,573,505,430,480,493,432,360,283,387,248,280,211,244,246]
[395,400,404,470,573,564,637,727,793,878,930,1234,1246,1396,1629,1704,2039,2320,2576,3495,4012,4849,5600,6482,6527,5351,5170,4807,4796,5058,5141,6177,6478,6958,6954,6353,5602,5358,5239,5351,5753,6607,7347,7415,7021,6686,5955,5615,6771,5841,6505,7102,7591,7920,7460,6620,6311,5823,5818,5876,6359,7009,7471,7873,7687,7147,6257,6117,5828,6178,6629,7324,7544,8218,7594,7245,6703,6298,5661,6139,6756,7075,7684,7712,7442,8146,6271,5914,5954,6165,7145,7647,7861,8294,7842,7227,6353,6143,6026,6106,6463,7071,7647,7893,7274,6697,6180,5686,5445,5489,5889,6340,6870,6832,6242,5344,4676,4118,3653,3283,2696,2477,2213,2476,1981,1501,1647,1362,1261,1116,989,774,858,706,660,597,585,522,413,492,393,371,378,251,268,276,273,233,259,163]
[427,483,444,506,589,568,595,727,686,951,1008,1150,1180,1351,1747,1781,1968,2187,2714,3217,4382,5170,7298,8516,8165,6413,5716,5302,5183,5531,6216,6729,8383,9455,8404,7540,6705,6133,5794,6106,6664,7568,8727,9493,8717,7453,6620,6019,5951,5965,6485,9114,9250,9939,8706,7477,6663,6072,6095,6321,7001,7994,9486,10453,8840,7691,6813,6248,6252,6397,6787,7602,8964,10027,8658,8013,7085,6441,6455,6471,6815,7595,8999,9539,8611,7437,7378,6506,7754,6863,7124,7988,9608,10498,9103,7986,6620,6284,6362,6512,6784,7995,9659,10552,9280,7166,6495,5870,5945,5944,6451,7141,8689,9234,7493,5858,5318,4216,3690,3263,2825,2442,2173,1958,1782,1747,1735,1407,1183,1046,969,790,771,631,618,548,566,520,483,468,347,276,386,299,258,300,182,168,259,183]
[372,365,489,424,569,543,692,782,874,986,1015,1123,1189,1382,1563,1714,1858,2614,2620,3283,4285,5362,7995,10268,9287,6966,6070,5312,5222,5445,5996,6544,8944,10837,9775,7950,6980,6033,5973,6050,6620,7340,9172,11356,9888,7970,7094,6422,6036,6101,6807,7415,9525,11474,11810,8076,7126,6062,6132,6444,6746,8016,10019,11613,9675,8223,7201,6374,6438,6778,6957,8097,9810,11805,9885,8309,7516,6611,6322,6450,7078,8003,9827,10956,9784,8108,7384,6905,6270,6701,7274,9870,10376,11637,9896,8428,7532,6497,6222,6443,6986,8126,10786,11755,9349,8009,6870,6038,5603,5914,6429,7358,9422,10367,7928,6421,5641,4381,3867,3119,2773,2438,2287,1969,1814,1708,1572,1377,1119,1312,1022,820,793,725,694,611,612,577,501,376,372,336,340,275,237,223,234,268,255,147]
[467,476,548,533,585,592,696,798,851,956,1054,1139,1444,1449,1463,1767,2040,2347,2698,3863,3939,5209,7321,8524,7565,6282,5891,5106,5092,5146,5711,6704,8643,9349,8201,7314,6539,5733,5572,5779,6334,7271,8608,9817,8239,7168,6763,6021,5940,5966,6905,7555,8901,9862,8911,7648,6840,7276,5923,6088,6574,7756,9007,9797,8572,7474,6707,6183,6235,6200,6855,7837,9537,9985,9028,7847,7037,6403,6115,6176,6780,7785,8967,9945,8913,7916,7146,6395,6288,6567,7057,7969,9262,10339,10831,7725,6678,6068,6170,6269,6951,7646,9532,9950,8635,7418,6761,6044,5698,5651,6278,6921,8835,9054,7323,6218,5351,4247,3719,3096,2798,2376,2193,1972,1659,1617,1557,1324,1124,963,1074,1050,782,750,670,636,479,550,464,406,381,389,294,338,309,278,182,159,246,177]
[335,413,540,548,627,653,719,784,812,903,1026,1097,1185,1368,1485,1702,1958,2270,2465,2658,3344,4041,5799,6387,6096,5490,5265,4832,4536,4678,5134,6077,6800,7576,7039,6550,6035,5714,5246,5191,5590,6336,7484,7766,7576,6917,6115,5882,5506,5532,6108,6540,7350,8174,7751,7010,6292,6018,5658,5568,7182,6644,7566,7958,7565,6989,6540,6004,5770,5957,6151,7059,7860,8514,7926,7298,6784,6153,5749,5782,6137,6836,7539,8445,7799,7200,6775,6186,6097,5861,6438,7095,8013,8655,8237,6992,6793,7284,5736,5783,6418,6968,7679,8187,7571,6841,5958,5573,5235,5089,5187,6099,6638,7022,6352,5448,4653,4180,3473,2971,2750,2408,2060,2056,1734,1560,1453,1267,1134,1018,875,870,753,641,762,549,545,484,406,439,386,384,361,275,379,245,276,268,225,242]
[383,470,417,488,598,580,734,766,881,888,1005,1120,1325,1380,1536,1670,1914,2135,2312,2630,2849,3200,4143,4790,5158,5823,4400,4439,4436,4407,4428,5079,5570,6104,6215,5835,5394,5341,5181,4913,5160,5901,6355,6760,6733,6436,5827,5604,5485,5358,5418,6086,6544,7018,6799,6668,6054,5648,5692,5415,5510,5878,7955,7089,6900,6580,5862,5611,5757,5538,5683,6358,6821,7077,7244,6827,6170,5740,5918,5453,5661,6439,6683,7232,7129,6855,5924,6138,5909,5599,5616,6527,6835,7281,7347,6825,6142,5903,5816,5405,6813,6390,6750,7332,7054,6280,5729,5386,5200,4821,4802,5270,5798,5968,5616,4934,4242,3934,3222,2832,2523,2363,2124,1902,1779,1617,1569,1340,1214,1090,984,871,850,798,645,617,601,552,419,368,347,354,290,312,188,288,278,271,201,227]
[417,507,482,515,583,700,750,822,813,972,999,1058,1240,1390,1370,1678,2010,2272,2483,2681,2877,3154,3965,4282,4503,4086,3904,4135,5213,4424,4686,4659,5393,5304,5438,4935,5110,5207,4812,4926,4854,5403,5628,6229,5812,5604,5452,5411,5617,5646,5359,5685,5939,6515,6376,5794,5410,5617,5883,5514,5632,5867,6038,6488,6460,5866,6050,5968,6044,5327,5732,5850,6259,6521,6423,5839,5785,5840,5914,5500,5692,5736,6290,6734,6202,6146,5836,5734,5890,5832,5782,6147,6445,6948,6575,5970,5756,5775,5535,5628,5541,5640,5736,7510,6132,5887,5472,5138,5330,4777,4649,4728,5000,5416,5044,4118,3898,3533,3146,2784,2543,2271,2137,1866,1718,1550,1514,1421,1090,1123,962,862,825,642,715,573,500,440,429,394,494,371,348,310,304,225,242,260,179,199]
[533,501,599,621,638,739,880,882,1068,1048,1311,1385,1439,1648,1790,2106,2265,2718,2822,3010,3665,3976,3844,3971,3800,3987,4359,4385,5520,4584,4815,5188,5011,5079,4796,4783,5145,5472,5031,5241,5496,5977,5722,5449,5250,5411,5411,5451,5326,5616,5977,5973,5854,5809,5683,5657,5609,5699,5593,5422,5821,6078,6209,5757,5572,6731,5801,5605,5674,5918,6186,6516,6245,5834,5766,5410,5942,5877,5794,5663,6033,6202,6178,5861,5534,5790,5947,5805,5668,5957,6001,6398,6293,5814,5737,5693,5743,5696,5384,5565,6083,6102,7318,5635,5366,5318,5360,5313,4704,4864,4986,5040,4752,4358,4027,3609,3420,2805,2683,2345,2162,1917,1914,1689,1492,1386,1292,1043,984,1001,887,746,669,538,616,503,510,469,437,367,461,323,258,308,214,279,196,141,234,250]
[428,467,431,495,602,605,657,734,747,909,1043,1131,1237,1289,1516,1836,1932,2092,2475,2838,2834,3302,4069,4244,4133,3962,3939,3873,4326,4390,4617,5781,5615,5568,5183,4792,4933,4777,5127,5323,5153,5619,5657,6072,5767,5547,5398,5322,5769,5578,5509,5897,6250,6390,6140,5780,5484,5629,5584,5723,5754,6227,6271,6474,6333,5837,5576,5429,6907,5938,5650,6258,6890,6763,6565,6127,5677,5824,5762,5767,5705,6204,6740,6859,6578,6049,5856,5795,5876,5841,6443,6259,6663,6723,6403,6081,5877,5718,5851,5787,5682,5977,6201,6295,6119,6764,5322,5353,5122,4856,4995,5049,5280,5300,4795,4149,3648,3542,3332,2950,2536,2431,2176,1922,1836,1600,1531,1424,1129,1227,876,946,874,728,655,664,496,534,485,484,455,276,438,333,252,249,276,234,236,235]
[423,413,447,546,501,683,720,788,877,1015,985,1150,1331,1512,1563,1814,2001,2172,2532,2919,3212,3873,4521,4776,4582,4409,4010,4019,4334,4589,4863,5310,6224,7246,5767,5350,5008,5118,5148,5228,5208,6219,6570,6531,6109,5872,5539,5496,5206,5755,6060,6735,7000,6947,6813,6306,6089,5858,5710,5753,6211,6922,7236,7175,6890,6590,5980,5735,5967,5961,6281,8685,7535,7320,6710,6529,6391,6098,5877,6051,6217,7099,7549,7285,6989,6479,5856,5796,6004,6067,6440,7087,7309,7251,6870,6628,5859,5816,5947,5802,6110,6882,7349,6690,6242,5997,5533,5329,6110,4951,5573,5765,6116,5806,5431,4695,4093,3655,3276,2971,2650,2446,2175,2001,1816,1713,1416,1405,1201,1147,960,903,833,731,639,649,595,570,476,373,417,414,336,311,275,303,244,258,223,223]
[405,389,467,570,574,647,746,822,860,972,1061,1165,1354,1336,1589,1823,1986,2524,2808,3334,3880,4554,5607,6110,5994,5176,4668,4530,4495,4957,5570,6048,6546,7212,6763,6284,6889,5626,5090,5589,6257,6795,7493,7492,7101,6797,6156,5940,5749,6134,6706,7294,8301,8519,7549,6934,6489,6151,6217,6409,6956,7780,8199,8210,7506,7324,6367,6262,6166,6400,6913,7453,8286,10030,7678,7234,6532,6149,6027,6560,7079,7682,8209,8360,7790,7004,6620,6354,6270,6598,7490,8000,8435,8680,8034,7187,6610,6299,6291,6540,7020,7425,8101,8250,7502,6897,6071,5906,5632,5812,6064,7748,7288,7383,6241,5248,4627,4171,3544,3115,2872,2477,2084,1995,1879,1680,1590,1287,1246,1243,1065,829,800,749,696,637,594,529,469,410,482,335,331,254,330,224,231,203,189,222]
[418,431,643,559,553,714,705,815,774,822,1006,1165,1283,1365,1553,1763,2113,2324,2399,3356,4122,4967,7177,8593,7265,5980,5333,5021,4823,4981,5695,6384,8278,9687,8201,7088,6231,5960,5764,7088,6368,7483,9098,9529,8558,7337,6595,6044,6332,6535,7215,8378,9837,10757,9290,7814,7124,6302,6333,6621,7470,8154,10217,10550,9199,8347,7095,6618,6532,7033,7562,8363,10155,11211,9474,8293,8804,6749,6655,7017,7263,8287,9923,10718,9187,8183,6967,6531,6694,6943,7785,8684,10609,10851,9242,8192,7415,6818,6574,6730,7526,8608,9320,10493,8827,7522,6515,6035,5985,6098,6545,7064,9148,11115,7412,5841,5079,4278,3713,3110,2941,2462,2228,1885,1867,1759,1504,1305,1139,1078,970,794,885,701,672,576,545,509,439,395,407,321,361,296,303,309,285,202,248,169]
[366,475,554,500,572,785,688,881,889,896,1059,1136,1250,1551,1565,1817,2058,2208,2708,3340,4269,5329,8325,9877,8070,6501,5422,5461,5008,5399,6139,7111,9614,10880,8991,7380,6606,6147,5825,6013,6397,7658,12335,11287,9372,8026,6950,6383,6266,6769,7338,8755,11434,12556,10076,8635,7604,6625,6395,6813,7462,9014,10973,12273,10177,8587,7519,6418,6610,6902,7575,8756,11411,12428,10115,8671,7519,6827,6897,8577,7452,8681,11359,12479,10088,8285,7370,6522,6893,7372,7737,9477,11656,12830,10120,8449,7293,6561,6540,7067,7446,8932,10939,12020,9537,7969,7167,6366,6084,6331,6561,7815,10685,10345,7990,6489,5459,5455,3687,3070,2653,2318,2231,1966,1689,1717,1456,1262,1224,1069,862,916,814,683,635,527,570,458,433,461,390,406,333,339,302,311,243,280,179,170]
[464,432,472,498,633,730,833,729,945,958,1120,1191,1372,1470,1688,1766,2051,2336,2549,3373,3654,4688,6574,8244,7606,6234,5517,5002,4975,5280,5691,6698,7883,9648,8687,7246,6753,5898,5549,5617,6039,7059,8122,9785,9267,9427,6976,6199,5936,6255,6781,7853,9758,10765,9273,8133,7330,6499,6141,6522,7051,8063,9421,10619,9436,7942,7188,6515,6335,6655,6943,8292,9602,10695,9531,8633,7464,6814,6421,6434,6907,7539,11080,10677,9317,8218,7138,6513,6310,6695,7062,8213,9882,10840,9578,8433,7219,6704,6290,6543,6726,7767,9874,10466,9025,7686,6929,6277,5733,5833,5936,7000,8395,9145,7688,6415,5476,4608,3986,3835,2817,2397,2216,1976,1836,1617,1515,1310,1335,995,981,824,781,783,711,645,519,573,426,475,396,428,426,305,294,294,251,208,246,226]
[405,477,528,514,674,639,667,767,796,878,1217,1286,1303,1505,1701,1884,2057,2252,2590,3146,3358,4097,5356,6308,6141,5390,5201,4776,4577,4591,5040,5965,6706,7415,7143,6415,6317,5535,5228,5132,5627,6297,7397,7885,7413,7086,6435,6144,6749,5835,6288,7291,8312,8998,8154,7319,6584,6233,6028,5819,6476,7272,8120,8158,7569,7006,6391,5864,5554,5959,6327,7218,8683,8700,8211,7325,6954,6668,6032,6074,6256,7029,7954,8408,8302,8766,6645,6397,5965,5932,6649,7556,8382,8840,8431,7131,6662,6083,5881,5888,6246,7309,8332,8195,7864,6767,6374,5724,5260,5276,5450,6153,7048,7154,6458,5535,4844,4393,3652,3128,2686,2519,2602,1996,1818,1531,1529,1365,1155,1106,1062,931,785,748,649,584,604,512,467,419,404,386,318,333,256,286,339,235,222,254]
[459,430,480,524,601,676,678,782,816,884,1025,1130,1336,1744,1502,1704,2046,2071,2560,2712,2978,3591,4289,4732,5067,4606,4567,4404,4568,4375,4660,5216,5879,6365,6333,6079,5574,5356,5478,5093,4973,5709,6432,6804,6796,6373,5838,5871,5736,5512,5330,7060,6895,7014,7156,6563,6373,5926,6057,5652,5681,6459,6887,7204,7173,6663,6318,6027,5930,5595,5906,6450,7381,7434,7214,6908,6575,6214,5868,5664,5822,6371,7068,7327,7305,7010,6368,6250,7257,5701,5856,6543,7202,7567,7216,6864,6277,5962,5931,5486,5673,6257,6822,7144,7197,6464,5642,5370,5216,4908,5011,5222,5782,6277,5808,5003,4377,4188,3819,3076,2847,2396,2142,2032,1713,1968,1491,1342,1185,1187,992,975,874,719,647,665,459,508,472,391,384,337,358,295,406,258,313,255,224,155]
[411,443,564,587,638,627,647,671,814,921,973,1212,1272,1462,1529,1557,2312,2286,2480,2713,2872,3188,4039,4147,4157,4021,4011,4198,4391,4580,4815,4752,5307,5638,5721,5491,5122,5408,5221,5187,5235,5600,5644,6284,6558,5906,5340,5649,5656,5625,5594,5553,6326,6717,8039,6134,5686,5926,5855,5864,5401,5881,6444,6545,6322,6116,5715,5697,5831,5785,5483,6055,6489,6729,6829,6213,5772,5946,5901,5871,5569,5773,6405,6783,6758,6434,5854,5949,6087,6075,5641,7066,6643,7004,6647,5896,6093,5830,5941,5725,5536,5969,6324,6517,6615,5802,5401,5384,5433,4928,4841,4890,5179,5458,4915,4313,3954,3656,3511,2968,2790,2492,2070,1970,1836,1800,1457,1365,1512,1027,1001,976,783,749,695,631,524,448,468,436,434,312,358,366,289,239,286,224,178,219]
[424,520,489,572,665,589,726,871,960,989,987,1138,1290,1325,1609,1710,1990,2139,2503,3338,3087,3518,3893,4301,4164,3788,3738,4136,4578,4742,4574,5051,5485,5251,5246,4953,5037,4997,5260,5209,5204,5389,5836,6099,5824,5384,5369,5491,5474,5574,5443,5654,5939,6267,6066,5805,5700,6718,5656,5668,5682,5801,6387,6290,5937,5776,5582,5688,5694,5880,5955,5851,6294,6384,6283,5795,5663,6092,5854,5786,5849,5849,6278,6734,6298,6057,5834,5963,6036,5927,6008,5979,6456,6699,7719,5905,5610,5774,5880,5904,5639,5728,6327,6329,5943,5395,5499,5514,5287,5160,4846,4985,5158,5046,4388,4134,3754,3487,3073,2735,2662,2357,2247,2055,1718,1639,1468,1371,1259,1095,1056,1044,796,671,687,611,592,488,479,453,411,347,339,352,279,272,263,258,241,167]
[490,377,422,565,530,627,763,741,848,895,1021,1229,1239,1384,1542,1730,2356,2265,2368,3295,3336,3795,4938,4375,4500,3944,4015,4299,4387,4561,4722,5399,5542,5385,5291,5074,4994,4974,5167,5011,5471,6059,6367,7063,5876,5634,5326,5336,5480,5353,5681,6200,6099,6323,6229,5780,5400,5403,5583,5631,5616,7414,6130,6271,6106,5794,5549,5766,5787,5637,5848,6304,6588,6617,6377,5915,5758,5644,5767,5890,7141,6775,6795,6626,6381,5918,5639,5830,5875,5767,6013,6453,6975,6577,6467,5923,5651,5748,5818,5730,6048,6366,6847,6585,6032,5651,5552,5137,5137,5048,5101,5026,5506,5304,4524,4260,3836,4180,2990,3002,2575,2481,2058,1905,1852,1669,1498,1356,1140,1128,990,899,828,757,644,580,547,479,453,502,435,318,307,320,308,298,254,259,291,247]
[405,430,478,580,658,664,731,755,1082,953,1031,1240,1314,1515,1650,1941,2021,2278,2620,2874,3455,4085,4975,4855,4678,4478,4316,4195,4366,4529,4898,5530,6282,5870,5826,5500,5289,5082,5291,5254,5710,6304,6825,6784,6377,7505,5688,5418,5447,5545,5993,6633,7196,6759,6597,6406,5924,5685,5794,5979,5883,6732,6889,6852,6728,6220,5856,5702,5702,5937,6145,6524,6889,6982,6831,6459,6085,5576,5833,5774,6255,7080,7351,8724,6773,6333,5785,5984,5781,5824,6522,6962,7215,7238,6954,6494,6132,5734,6100,5946,6243,7077,7257,6818,6816,6112,5860,5310,5223,5248,5442,6101,6294,5942,5316,4786,4167,4015,3559,3036,3169,2441,2342,2088,1977,1669,1438,1424,1238,1201,1039,925,748,689,709,617,574,578,541,358,440,296,280,334,333,315,195,272,256,199]
[383,486,459,545,497,642,615,750,789,923,965,1326,1378,1506,1676,1798,2076,2326,3005,3607,4242,5214,5992,6510,5994,5293,4840,4607,4736,4892,5477,6126,7157,7523,6367,6056,5793,5515,5478,5734,6388,7271,7902,8567,7736,7150,6479,5805,5663,7055,6545,7194,7835,8196,7537,6997,6425,6010,6349,6293,6820,7312,7918,7810,7637,6853,6135,6176,7149,6328,6958,7392,7571,7980,7263,6661,6323,6013,6172,6528,7000,7960,8229,8752,7660,6863,6722,6192,6086,6519,7186,7639,8693,8797,7977,7120,6416,6079,6156,6483,7074,7530,8435,8750,7793,8360,6170,5935,5722,5995,6297,6688,7476,7087,6168,5466,4846,4138,3510,3046,2757,2622,2118,2097,1810,1767,1522,1423,1326,1106,960,845,819,746,729,634,637,514,497,444,425,319,347,404,316,291,292,310,193,181]
[446,461,482,495,587,661,684,760,873,960,976,1175,1255,1398,1594,1840,2135,2379,2928,3712,4700,5631,7955,8930,7828,6204,5361,5191,5231,5499,6234,7074,8712,10837,7353,6681,5902,5627,5817,6190,6942,8294,10470,10123,8861,7307,6608,6139,6132,6543,6981,8041,9819,10313,8828,7841,6961,6565,6576,6820,7410,8182,9996,10754,9040,7824,7010,6652,6340,6734,7261,9621,9506,9659,7868,7275,6734,6479,6524,6932,7553,9209,10807,10755,8636,7573,7112,6407,6656,6879,7643,9102,11276,10974,9171,7627,7080,6616,6877,6916,7792,8887,11095,11041,9008,7836,6800,6489,7609,6580,6818,8161,10293,9246,7308,5990,5284,4173,3752,3224,2800,2525,2225,1935,1744,1725,1563,1323,1229,1154,1016,897,831,689,629,568,521,477,466,432,449,365,353,318,325,347,321,280,219,235]
[455,513,468,536,600,799,813,742,800,954,1107,1179,1348,1543,1597,1810,2097,2520,2729,3487,4463,5587,8477,10135,9556,7057,6064,5434,5510,5619,6034,6817,8966,10616,9117,7418,7923,6111,5833,6330,6887,8482,10754,12209,9603,8245,7329,6157,6265,6594,6912,8087,10275,11765,9849,8291,7480,6562,6619,7039,7073,8438,10673,12130,10320,8268,7573,6556,6582,6703,7011,8054,9937,11671,10597,7713,7113,6669,6596,6750,7329,8234,10931,12147,10097,8709,7458,6765,6921,6410,7184,8551,11433,12299,10604,8170,7395,6751,6621,7134,7295,8793,11612,12810,9642,8115,7056,6499,6218,6323,6824,9373,10302,11181,7790,6610,5687,4306,3832,3278,2933,2346,2145,1974,1898,1642,1529,1275,1204,1079,1057,949,867,872,713,641,545,584,461,380,415,379,344,335,313,307,230,211,252,248]
[403,377,636,566,535,619,671,814,804,973,1056,1182,1366,1540,1551,1807,2064,2289,2600,3278,3951,4981,6698,8273,7722,6159,5884,4967,4669,4976,5451,6063,7820,8469,8220,7109,6381,5825,5467,6788,6191,7189,8603,9651,8717,7565,6726,6062,5914,5999,6343,6766,8653,10082,8966,8040,7255,6130,6116,6167,6556,7567,9245,10296,9010,7804,7126,6506,6059,6248,6976,6997,8739,9481,8469,7699,6722,7525,5966,6407,6826,7823,9429,10204,8751,7543,6925,6360,6278,6408,6770,8205,9667,10244,9137,7776,6897,6657,6214,6471,6731,7838,9135,10210,8884,7788,7016,6139,5767,5480,5798,6659,8151,9491,9056,6172,5523,4508,3679,3246,2797,2449,2116,2037,1784,1624,1472,1371,1204,1084,980,882,823,763,702,646,564,540,466,472,384,367,298,353,346,355,244,225,227,253]
[441,459,503,597,536,671,865,772,846,899,1008,1092,1230,1386,1462,1686,1903,2210,2371,2990,3457,4072,5052,6323,6281,5536,4911,4874,4471,4476,4974,5541,6409,7016,6963,6368,5560,5574,5235,5291,5519,6244,7261,9323,7768,6865,6253,5966,5655,5609,5960,6371,7490,8060,7581,7031,6695,6194,6073,5812,6199,7231,7841,8575,8016,6910,6779,6086,6038,5918,6262,7023,7485,7937,7764,6881,6479,6065,5843,5829,7617,7248,8303,8771,7964,7437,6468,6098,5611,5911,6169,6930,8164,8590,7870,7325,6649,6384,5878,5670,6229,6886,7967,8243,7996,6789,6513,6242,5442,5229,5502,5816,6935,7530,6836,5561,5152,4275,4376,3061,2700,2569,2236,2013,1742,1544,1498,1299,1102,1032,1003,932,842,734,718,581,583,495,527,428,449,367,333,267,253,226,274,229,185,256]
[355,448,436,548,479,638,709,864,855,1098,1026,1225,1192,1329,1460,1750,1936,2062,2503,2562,2777,3505,4210,4914,5089,5000,4369,4256,4573,4425,4430,4962,5631,5702,6344,5913,5032,5352,5094,5160,5230,5378,6186,6382,6801,6503,6929,5482,5498,5461,5260,5732,6479,6570,6974,6854,5933,5737,5592,5533,5560,6218,6861,7116,7234,6702,6042,5848,5640,5710,5613,6263,6678,6940,7074,6516,5680,5807,5886,5265,5491,6152,6858,7227,8246,6619,5936,5887,5749,5517,5631,6210,6642,6775,6825,6798,5960,5908,5741,5612,5742,6003,6635,6985,6963,6280,5706,5638,5103,4868,4606,4947,6024,6142,5618,5062,4310,4028,3591,2950,2670,2850,2121,1844,1760,1615,1480,1349,1220,1096,987,916,870,724,628,636,630,481,502,433,407,318,350,389,295,258,247,267,230,200]
[435,502,545,544,495,651,723,755,815,893,958,1185,1502,1404,1536,1903,1823,2136,2269,2676,3070,3203,3808,4432,4296,4106,4001,4358,4554,4637,4695,4964,5318,5887,5642,5438,5159,5347,5301,5181,5522,5211,5840,6274,6090,5804,5524,5573,5667,6920,5504,5786,6165,6336,6281,5963,5690,5908,6267,6134,5731,6106,6374,6633,6495,6215,5729,5961,6040,5936,5597,5936,6452,6548,6450,6135,5826,5827,6127,5683,5763,6000,6317,6603,6415,5889,5921,6818,6094,5757,5530,5821,6339,6524,6433,5755,5635,6033,5823,5659,5793,5841,6378,6660,6285,5730,5512,5525,5437,4856,4762,4753,5181,5379,5003,4466,3841,3728,3384,2808,2645,2381,2185,1979,2216,1618,1486,1284,1189,1149,1035,891,772,741,684,609,580,498,516,436,458,378,372,355,296,359,230,263,256,195]
[422,416,500,523,591,603,668,768,870,965,947,1156,1280,1294,1477,2057,1894,2214,2344,2684,2989,3392,4006,4076,4140,4046,3845,4161,4456,4624,4714,4967,5239,5352,5312,4977,5187,5166,5094,5192,5203,5457,5704,6279,5903,5664,5528,5381,5601,5430,5385,5867,7234,6254,5871,5875,5822,5969,6027,5820,5894,5995,6063,6558,6254,5760,5762,5825,5780,5804,5987,5939,6097,6564,6095,5863,5620,5626,5769,5584,5640,5653,5980,6350,6220,5753,5599,5761,5730,5692,6593,5756,6234,6360,6066,5582,5378,5614,5844,5773,5583,5914,6023,6099,5831,5696,5429,5400,5272,5054,4883,4829,5016,5171,4628,4079,3638,3516,3131,3089,2633,2276,2097,1989,1809,1747,1532,1602,1245,1031,974,871,808,754,627,672,555,458,462,495,379,324,270,270,263,297,211,203,227,147]
[402,538,534,526,558,673,674,722,835,940,1059,1085,1351,1348,1557,1637,1900,2098,2912,2882,3015,3745,4324,4475,4215,4010,4055,4413,4530,4796,4901,5299,5700,5773,5756,5277,4990,5201,5187,5274,5273,5767,6174,6247,6113,5572,5678,5533,5358,5690,5459,6157,6380,6528,6146,7037,5858,5606,5952,5824,6179,6602,6976,7033,6648,5962,5830,6032,5910,5659,6122,6654,6757,6670,6499,5842,5920,5723,5893,5567,5744,6123,6337,6575,6330,5956,5819,5693,5809,5537,5806,6129,6534,7829,6232,5714,6010,5644,5624,5535,5683,5954,6310,6317,6124,5539,5477,5060,5198,5002,4833,5036,5490,5338,4881,4207,3654,3509,3263,3004,2719,2401,2177,2090,1879,1670,1631,1402,1297,1119,1216,883,813,773,667,670,542,542,458,463,341,397,377,313,339,272,247,268,194,164]
[379,466,483,606,577,632,680,759,845,1009,1011,1149,1168,1461,1552,1665,2052,2241,2653,3006,3553,5110,4865,4804,4860,4517,4164,4345,4496,4697,5345,5845,6266,6482,6044,5813,5445,5320,5415,5383,5787,6594,6807,6467,6443,6079,5875,5628,5764,5787,6092,7000,7111,7213,6835,6366,6199,5790,7030,6028,6748,7669,7511,7448,7142,6399,6116,5818,5953,5977,6709,7163,7237,7183,6963,6438,5924,5746,5536,5770,5837,6655,6819,6592,6430,6188,5584,5443,5766,5535,6134,7035,7482,7210,6721,7495,5873,6063,5562,5846,6403,6705,6901,6851,6506,5943,5694,5239,5083,5191,5504,5810,5867,5698,5225,4523,3905,3666,3499,3047,2854,2432,2188,2019,1760,1718,1410,1380,1236,1069,951,826,776,882,621,604,491,482,474,458,381,352,347,359,266,255,292,235,193,197]
[435,443,532,548,592,704,702,741,861,941,1107,1167,1274,1430,1652,1850,2072,2379,2791,3513,3971,4841,5602,6567,6741,5117,4803,4746,4777,5363,6128,6743,7697,7454,7134,6270,6012,5885,5525,5863,6410,7005,7783,7856,7391,6582,6310,5871,6035,6246,6719,7393,9435,8322,7735,6912,6294,6160,6243,6801,7492,8251,9192,9021,8330,7441,6841,6286,6348,6494,7645,8047,9224,8976,8001,7276,6622,6314,6062,6655,8079,7571,8156,7880,7256,6685,6132,6025,6008,6259,7413,7973,8508,9023,7830,7084,6430,6072,6151,6522,7025,7704,8078,8012,7241,6702,6031,5897,5604,5680,6147,6531,7002,6918,6152,5100,4565,4635,3278,3082,2736,2298,2162,1911,1797,1474,1535,1305,1119,1124,971,895,857,717,687,589,565,513,437,382,420,403,321,316,302,213,244,257,204,182]
[425,438,519,630,551,671,774,826,998,918,1047,1251,1273,1325,1591,1835,2056,2397,2742,3754,4583,5765,7986,8733,7335,5997,5300,5230,5412,5771,6270,7798,9936,10311,8990,7618,6595,6262,5972,6324,6384,7878,9650,10396,9286,7517,8208,6208,6369,6781,7471,8366,10584,10682,8864,7569,6923,6620,6697,7313,7879,9463,11393,11300,9710,8038,7041,6558,6570,7137,8042,9180,11032,11513,9645,8439,6983,6741,6336,6462,7140,8182,9670,12254,8405,7397,6644,6231,6848,6845,7673,9031,10877,10441,8569,7719,6931,6511,6310,6851,7427,8373,10098,10281,8349,7207,6443,6204,5771,6181,6500,7581,9339,8816,7186,5610,5054,4305,3666,3027,3118,2233,2098,1867,1738,1597,1411,1334,1227,967,949,916,781,675,648,654,474,397,413,473,379,388,345,308,263,293,280,252,292,211]
[492,458,405,598,590,605,744,756,796,945,1099,1315,1330,1412,1507,1654,1842,2238,2816,3433,4181,5446,8435,10065,8477,6514,5581,5221,5127,5678,6350,7993,10947,12091,9979,8070,6893,6150,5921,6217,6772,7762,10335,11699,9933,8345,7403,6361,6296,8139,7494,8735,11298,12136,9430,8453,7343,6906,6678,7223,7876,9612,12390,13191,10063,8455,7530,6801,6755,7130,7818,9436,11970,12338,10393,8517,7507,6709,6515,6477,7178,8179,10354,11381,9396,8043,8516,6672,6610,6790,7616,8678,11379,12257,9893,8409,7157,6716,6579,6714,7177,8631,11128,11478,9155,7874,6946,6139,6268,6343,6473,7659,10178,10331,7986,6338,5487,4455,3905,3147,2728,2287,2127,2231,1712,1615,1443,1260,1144,965,980,841,848,682,707,670,473,481,402,380,367,342,310,343,292,281,213,221,174,199]
[441,479,532,520,510,680,629,693,913,920,1111,1178,1348,1442,1811,1734,1862,2091,2464,3313,3780,4976,6815,8488,7422,6329,5483,4982,4776,5172,5879,6916,9145,10083,9029,7384,6618,6003,5629,5814,6391,7213,8656,9740,9195,7999,6963,6251,5848,6180,6767,9330,9260,10356,9244,8156,7002,6388,6216,6605,7298,8367,10221,10503,9320,8147,7230,6532,6292,6575,7238,8091,10098,10679,9771,8412,7379,6750,6385,6408,6579,7465,8942,9475,8951,7581,7067,6324,5985,7804,6864,8232,9726,10446,8914,7876,6991,6419,6140,6585,6831,8017,10059,9796,9028,7702,6767,5799,5571,5682,6035,7015,8356,9143,7712,5918,5244,4547,3724,3052,2577,2265,1963,1816,1743,1581,1628,1213,1156,1088,873,761,779,727,695,619,620,530,548,421,357,341,284,248,311,231,267,195,171,232]
[456,423,483,512,546,588,648,768,891,881,995,1030,1216,1349,1474,1709,1794,2462,2426,2754,3225,4194,5272,6353,5996,5509,4827,4648,4514,4700,5018,6008,6963,7855,7310,6876,6156,5580,5298,5236,5585,6161,7326,7887,7684,6989,6371,5880,5374,5618,5939,6825,7779,8454,7987,8737,6631,6079,5656,5792,6479,7205,8183,8796,8097,7454,6546,6082,5789,6013,6243,7194,8548,8991,8170,7439,6658,6368,6160,5745,5740,6503,7326,7678,7667,6756,6325,6119,6010,5604,6335,7108,9956,8553,8010,7017,6343,6035,5661,5875,6302,6990,8094,8293,7879,7005,6274,5571,5023,5176,5370,5642,6666,7015,6285,5441,4613,4318,3557,3050,2640,2164,2048,1909,1795,1608,1506,1272,1190,1200,905,808,691,734,657,583,593,475,387,496,374,305,290,289,283,250,231,217,239,240]
[449,425,468,519,572,617,623,848,916,848,1013,1031,1225,1361,1517,1648,1962,2073,2363,2643,2867,4379,4340,4744,4701,4524,4434,4256,4414,4442,4657,5393,5976,6480,6105,5987,5393,5668,5240,5116,5173,5707,6288,6696,6518,6199,5642,5511,5518,5282,5512,6091,6846,7124,7003,6628,6190,5955,6968,5640,5829,6501,7202,7378,7120,6737,6060,6043,6067,5497,6066,6549,7467,7619,7168,6639,6157,6177,5709,5473,5861,6260,6878,6901,6744,6419,5912,5836,5887,5505,5650,6408,7127,7250,7012,7422,5834,5957,5718,5430,5769,6478,7008,6911,6611,5986,5806,5223,5241,4699,4632,5219,5540,5624,5451,4380,4126,3676,3287,2830,2474,2246,2040,1876,1784,1528,1353,1230,1089,1072,898,864,992,682,610,598,493,417,487,441,433,318,339,333,317,217,218,198,221,177]
[397,452,540,586,607,596,647,729,846,993,1071,1096,1259,1438,1477,1765,1819,2132,2310,2602,2665,3327,3813,5172,4100,3863,3876,4254,4258,4581,4620,4835,5421,5518,5571,4990,5139,5262,5326,4930,5145,5180,5696,6160,5812,5422,5385,5710,5559,5634,5659,5636,6243,6620,6335,5759,5860,5896,5902,5547,5665,7083,6543,6561,6381,5759,5723,5955,5980,5749,5832,6165,6833,6807,6530,5861,5748,5852,5925,5463,5676,5972,6446,6433,6244,5701,5724,5876,5836,5715,5688,6106,6263,6637,6121,5696,5606,5791,6953,5665,5452,5574,6141,6391,6003,5532,5361,5017,5027,4751,4544,4726,5106,5163,4758,3950,3846,3470,3067,2741,2483,2179,2026,1731,1680,1457,1398,1184,1148,977,894,896,702,666,622,713,513,488,506,411,332,355,315,327,361,249,226,284,197,208]
[374,502,542,514,628,558,673,684,889,914,895,1168,1224,1185,1361,1640,1790,1968,2122,2467,2711,3217,3682,3708,3620,3752,4332,3935,3954,4159,4229,4859,5025,5111,4953,4868,4655,4637,5073,5016,5173,5217,5760,5867,5504,5205,5193,5354,5359,5372,5370,5785,6183,6298,5962,5792,5733,5548,5652,5460,5653,5953,6178,7640,5898,5504,5674,5586,5784,5732,5688,6032,6140,6562,5889,5435,5628,5865,5832,5879,5744,6001,6233,6350,5809,5526,5595,5883,5626,5587,5585,5870,6308,6231,6053,5572,5323,5669,5608,5528,5312,6713,6283,5953,5592,5201,5216,5403,5047,4940,4771,4951,4886,4957,4265,3793,3505,3314,2948,2616,2362,2108,1894,1655,1539,1487,1301,1084,990,921,837,837,780,650,629,610,548,547,596,425,423,332,367,303,224,275,255,198,253,234]
[454,434,424,490,604,574,677,708,765,781,906,1035,1161,1294,1521,1683,1933,2105,2303,2619,2847,3503,3932,3985,4050,3821,3745,3911,4111,5087,4699,4947,5397,5405,5270,4743,4815,4953,4865,4870,5045,5680,5905,6071,5639,5322,5222,5274,5276,5318,5726,6172,6568,6480,6132,5533,5491,5471,5503,5640,5668,6247,6466,6620,6150,5709,6674,5286,5537,5705,5811,6489,6768,6556,6034,5768,5614,5598,5826,5728,5905,6440,6978,6836,6376,5681,5743,5618,5811,5625,5963,6292,6726,6425,6205,5565,5262,5401,5344,5378,6063,5482,6392,6263,7166,5151,4998,5204,5173,4986,4914,5324,5375,5266,4551,4055,3693,3266,3146,2455,2544,2043,1956,1897,1650,1513,1381,1310,931,869,887,925,736,724,563,556,567,538,419,349,431,439,393,276,320,286,241,243,203,243]
[411,403,501,441,547,604,636,666,750,808,957,1015,1173,1203,1358,1640,1863,2020,2438,2654,3228,3995,4572,4404,4396,4049,3675,3877,4111,4027,4574,5221,6604,6850,5481,5122,4725,4819,4765,4941,6080,6412,6289,6545,6094,5729,5403,5214,5407,5505,5919,6661,7184,6993,6661,6276,5665,5351,5351,5544,5885,6887,7121,7143,6563,5935,5466,5511,5441,5665,7494,7120,7561,7297,6641,6249,5523,5802,5623,5841,6741,7470,7794,7746,7022,6276,5665,5467,5768,5811,6143,7036,7360,7248,6600,6027,5352,5500,5231,5537,6003,6694,7041,6651,6320,5716,5255,6048,5010,5161,5587,6100,6386,5893,5136,4611,3841,3494,3209,2857,2452,2228,1936,1870,1681,1550,1380,1125,1014,845,937,788,753,655,655,505,475,482,390,437,335,347,344,307,287,337,263,283,168,243]
[411,458,507,546,627,669,684,690,896,859,906,971,1188,1288,1358,1506,1797,2159,2601,3395,3975,4527,5538,5844,5159,4778,4295,4192,4435,4982,5541,5996,7060,7244,7494,5584,5151,5165,5205,5655,6499,7071,7799,8018,7249,6562,5983,5528,5562,5840,6718,7287,8442,8286,7569,6495,5974,5663,5688,6205,6750,7444,8012,7919,7259,6413,6128,5676,5898,6245,6972,9319,8582,8821,7441,6598,6223,5846,5969,6692,7474,8264,9128,9110,7808,7072,6124,5936,5983,6166,6871,7759,8318,8417,7282,6342,6288,5626,5736,5995,6614,7260,8086,8036,7274,6107,5584,5387,5503,6688,5979,6889,7553,7084,6203,4877,4464,3913,3303,2568,2291,1968,1972,1807,1590,1300,1247,1158,1070,986,868,751,737,630,623,516,527,402,402,355,356,379,381,262,267,262,327,255,226,182]
[429,389,492,503,504,615,619,699,777,821,969,961,1055,1239,1416,1485,1797,1987,2687,3234,4165,5443,7405,8345,6871,5618,4786,4499,4730,5102,5589,6779,9051,9365,7742,6361,5694,6318,5464,5879,6409,8265,10288,10366,8446,7093,6449,5762,5933,6293,6784,8387,10425,10675,8814,7347,6198,5968,6142,6270,7171,8544,10129,10463,8147,7085,6436,5981,6141,6497,7336,8787,10900,11101,11027,7716,6570,6034,6458,6732,7743,9226,11950,12059,9414,7735,6647,6289,6155,6757,7618,9104,11367,10710,8580,7273,6436,6130,6054,6442,7156,8777,10628,10504,8513,6974,6256,5774,5632,6067,6714,7850,12195,9159,6821,5794,5027,3961,3219,2602,2563,2018,1975,1685,1517,1436,1289,1190,1063,965,903,734,668,675,558,529,524,447,432,360,361,346,365,292,301,235,279,274,218,241]
[347,487,379,543,487,591,579,804,701,812,873,983,1212,1152,1313,1648,1782,1941,2570,3391,4085,5700,8557,9791,7726,5828,5555,4742,4996,5254,5589,7058,9772,11096,8824,7047,6186,5641,5486,5838,8131,8276,11545,12124,9144,7745,6594,6213,6124,6442,7167,8746,11894,12188,9439,7821,7023,5993,6320,6621,7276,8816,11891,11772,9341,7792,6947,6338,6267,6959,7583,9451,12816,12609,10448,8491,7424,6508,7961,7337,8192,10370,13621,13826,10508,8535,6967,6742,6577,7211,7747,9953,13596,12855,9697,8149,6768,6258,6247,6809,7403,9319,12633,12521,9378,7921,6716,6001,5678,6278,6662,8869,11836,11382,8121,7564,5002,4205,3581,2907,2473,1980,1809,1662,1360,1424,1249,1153,1001,914,861,725,601,571,565,600,518,437,411,360,298,325,268,310,286,297,300,191,251,204]
[425,403,482,477,469,594,731,687,751,807,890,1058,1112,1261,1463,1607,1542,1966,2252,2941,3364,4993,7011,8377,7173,5721,5508,4639,4529,4900,5383,6552,8119,9440,8279,6893,6242,5344,5288,5338,6009,7143,9131,11753,8433,7170,6456,5960,5746,5807,6540,7676,9842,10277,8553,7546,6584,5969,5706,6023,6568,7765,9206,9693,8379,7392,6564,6035,5992,6270,7075,7669,9628,10436,9352,7689,7033,6219,5832,6541,8432,8197,10253,11016,9217,7739,7016,6134,5980,6497,7105,8479,10588,10836,9208,7717,6716,5998,5926,6375,6554,7662,9812,10664,8998,7498,6427,5810,5153,5461,6127,7322,8974,10280,8142,5733,5344,4398,4097,2716,2417,2063,1897,1616,1449,1317,1154,1165,1000,932,753,658,703,600,621,551,465,498,462,436,385,310,314,262,338,246,253,222,251,250]
[367,463,462,399,504,564,584,615,684,996,851,931,1124,1088,1362,1509,1545,1760,2126,2535,3009,3814,5173,5771,5578,4799,4526,4113,3928,4082,4500,5265,6730,7201,6556,5690,5474,4992,4596,4792,5000,5891,7061,7722,7357,6444,6975,5419,5264,5367,5638,6246,7688,8044,7393,6449,6143,5715,5290,5255,5496,6304,7676,7921,7361,6806,5992,5535,5565,5666,5815,6689,7936,8410,7956,6978,6425,5879,5655,5645,5983,7188,8487,10608,7941,6848,6211,5635,5555,5702,5992,7286,8526,8969,7627,6680,5827,5541,5387,5401,5475,6556,7243,7734,7302,6294,5664,5187,4724,4732,5071,5838,7216,7595,6777,5470,4811,4273,3483,2877,2664,1898,1761,1629,1405,1451,1222,1105,957,874,794,788,714,632,590,611,515,473,390,348,344,347,398,268,254,243,227,224,196,260]
[391,373,378,509,534,519,583,633,648,722,937,1027,1046,1138,1231,1445,1729,1793,2107,2312,2613,3286,4169,4319,4384,4013,3908,3856,3862,3721,4183,4487,5415,5758,5503,5216,4934,4585,4691,4370,4795,5166,5672,6301,6049,5719,5098,5223,5242,6072,5119,5730,6457,6580,6369,5946,5308,5277,5050,4805,4955,5523,6239,6483,6419,5967,5332,5204,5284,5221,5331,5803,6414,6610,6414,5892,5379,5658,5255,5215,5367,5941,7065,7089,6986,6269,6741,5575,5561,5218,5302,6090,6666,7006,6563,6059,5393,5378,5211,4787,4872,5493,6285,6346,6049,5448,5193,4756,4516,4381,4373,4917,5672,5687,5662,4530,4015,3778,3127,2423,2250,1829,1696,1931,1360,1220,1101,1073,1037,923,834,752,747,678,617,535,600,463,417,312,406,334,323,299,348,240,276,185,259,217]
[399,428,424,435,470,541,633,567,723,708,802,832,995,1059,1157,1516,1472,1688,1890,2249,2309,2795,3604,3794,3461,3376,3324,3543,3610,3767,3855,4055,4482,4785,4700,4240,4094,4518,4448,4231,4152,4461,5025,5368,5283,4673,4532,4931,4849,4606,4525,4902,6621,5724,5452,5001,4909,5216,4934,4778,4854,4977,5550,5715,5679,5123,4992,5236,5160,5032,5226,5239,5908,6135,5904,5198,4916,5163,5227,4900,5190,5203,5871,6195,6023,5226,4847,5226,5365,6047,4992,5164,5864,5939,5800,5085,5064,5019,4987,4648,4704,4638,5340,5310,5389,4613,4492,4707,4480,4312,4125,4266,4818,5017,4560,3797,3637,3342,2750,2364,2152,1904,1796,1582,1408,1173,1419,954,980,902,817,690,664,644,533,567,457,542,419,385,362,334,386,320,254,225,199,242,195,174]
[325,413,471,420,541,428,584,625,681,722,751,757,908,1050,1092,1261,1517,1664,2154,2225,2408,2808,3412,3510,3326,3163,2907,3312,3576,3431,3540,3956,4221,4389,4246,4100,3999,4284,4061,4215,4274,4496,4917,4990,4774,4249,4255,4389,4420,4502,4522,4623,5247,5442,5144,5654,4654,4610,4623,4669,4677,4882,5268,5574,5134,4664,4681,4752,4734,4597,4924,5208,5573,5602,5546,4837,4785,4789,4986,4907,4854,4920,5496,5566,5371,4801,4673,4991,4785,4765,4540,5011,6617,5729,5393,4861,4545,4801,4621,4679,4386,4652,4959,5072,4901,4233,4374,4436,4161,4132,3975,4110,4859,4714,4413,3611,3324,3115,2622,2262,2011,1778,1664,1462,1278,1250,1155,1070,936,907,974,777,664,671,629,485,466,450,414,312,362,302,370,256,324,278,241,236,254,270]
[386,482,356,407,451,471,524,636,687,704,746,830,916,989,1141,1261,1374,1728,1836,2272,2485,4024,3769,3567,3501,3166,2980,3075,3166,3343,3652,4097,4461,4664,4411,4140,3940,3825,3889,3969,3962,4493,5223,4728,4744,4345,4124,4036,4246,4164,4617,5077,5369,5497,5094,4614,4525,4479,5488,4435,4770,5392,5685,5400,5181,4825,4418,4501,4582,4674,4967,5671,5778,5826,5486,4934,4612,4606,4597,4488,4832,5270,5738,5855,5547,4360,4587,4507,4653,4376,4929,5413,5701,5661,5575,5540,4388,4455,4543,4365,4519,4866,5177,5122,4651,4195,4116,3940,4185,4169,4444,4855,4828,4838,4186,3474,3076,2764,2353,2176,1764,1716,1546,1352,1326,1254,1076,1060,899,798,782,671,716,590,536,527,504,429,460,309,339,327,318,279,273,285,280,257,170,230]
[360,415,430,483,455,487,535,526,664,680,770,763,936,953,1081,1334,1328,1511,2035,2362,3027,3773,4519,4447,4759,3531,3140,2962,3080,3284,3982,4635,4982,4915,4618,4170,4057,3704,3756,3821,4509,5204,5638,5353,5159,4438,4016,3935,4420,4312,4750,5805,5964,6026,5665,4927,4218,4269,4084,4555,4894,7097,6109,6104,5641,4975,4529,4547,4415,4782,5239,6164,6578,6142,5875,5393,4476,4537,4571,4461,4976,5968,6100,5982,5582,4935,4438,4353,4248,4492,4970,5988,6227,6201,5770,4928,4421,4231,5080,4195,4841,5370,5528,5473,5021,4352,3988,3969,4052,3939,4719,5453,5646,5581,4848,4073,3486,2951,2506,2195,1840,1706,1444,1426,1234,1106,1099,1023,935,853,786,708,540,627,516,626,533,414,471,292,329,300,394,205,341,200,203,241,238,178]
[315,303,384,427,507,510,480,497,696,684,700,741,876,951,1098,1121,1208,1523,1997,2532,3453,4261,5323,5629,4791,4235,3455,3895,3170,3566,4223,4984,5648,6122,5048,4361,3951,3832,3983,4128,4818,5456,6047,6415,5535,4706,4419,4120,4146,4584,5021,5814,6903,7029,6069,5184,4801,4538,4522,4632,5555,6020,7382,7433,7483,5442,4815,4588,4566,5122,6087,6906,7827,8006,6810,5801,5024,4771,4737,5033,5537,6427,6972,7033,6055,5107,4726,4557,4509,5091,5493,6231,7000,7508,6425,5194,4469,4391,4238,4220,5063,6532,6219,6366,5430,4639,4343,4012,4201,4550,5354,6344,7370,7101,5922,4415,4025,3137,2433,2046,1768,1638,1575,1393,1211,1128,1062,964,942,801,677,685,654,582,518,483,405,428,374,416,332,227,243,303,233,227,176,217,219,248]
[323,373,373,475,499,447,535,506,601,746,619,725,855,876,1028,1035,1307,1453,2040,2784,3660,4910,7387,8669,6885,5211,4319,3665,3476,3666,5387,5869,7907,8736,6738,5472,4469,3960,4045,4394,5238,6378,8366,9007,6911,5751,4791,4296,4269,4633,5301,6884,9536,9431,7353,5872,5392,4807,4645,4868,5588,7136,9330,9938,8284,6256,5527,5816,4744,5285,6275,8318,10386,10967,8404,6421,5558,4871,4869,5121,5930,7702,9538,9767,7503,5776,5309,4641,4792,5364,6012,7817,9912,9915,8038,6094,5119,4616,4368,4767,5353,6573,8382,8849,7957,5259,4537,4326,4368,5067,5652,7757,10030,9864,7005,5397,4359,3363,2613,1991,1665,1626,1421,1426,1168,1163,920,938,797,779,655,628,508,536,569,469,407,394,360,337,412,352,280,326,211,281,245,174,236,181]
[362,359,321,357,401,397,474,534,570,635,691,682,800,806,950,967,1114,1416,1715,2713,3634,5486,8340,9838,7588,5639,4550,3954,3548,3538,4498,5815,9968,9454,7335,5632,4919,4124,4162,4235,4902,6424,9004,9903,7951,6219,5180,4409,4241,4339,5374,7055,9803,10050,7861,6273,5277,4397,4375,4958,5193,7159,10031,10354,8601,6481,5419,4638,4597,4902,6772,8175,10989,11318,8517,7012,5511,4680,4617,4892,5594,7247,10309,10335,8128,6560,5297,4546,4553,4911,5851,7890,10236,11103,8485,6549,5176,4734,4561,4586,5085,6756,9339,9949,7726,6244,4858,5206,4310,4639,5600,7665,11067,10945,7495,5524,4426,3244,2466,2208,1607,1332,1349,1136,1131,1112,1004,896,799,772,605,661,556,520,539,450,388,447,368,342,344,364,284,273,294,266,228,251,221,152]
[306,271,465,344,386,435,442,426,601,582,589,611,825,850,912,972,1095,1242,1473,2118,2785,4318,6100,7309,6117,5020,4193,3443,3040,3208,3603,4903,5942,7174,6651,6688,4273,3803,3666,3709,4156,5360,6738,7511,6565,5352,4489,3923,3837,3922,4316,5798,7188,7645,7020,5046,4722,4099,3926,4003,4510,5745,7438,7866,6942,6453,4718,4009,4012,4050,4784,5964,8073,10012,7247,5768,4950,4342,4200,4252,4724,6175,7572,7976,6741,5565,4617,4376,4006,4150,5006,6130,7771,8342,7086,5644,4506,4091,3992,4104,4398,5751,6868,7402,6394,4991,4360,3810,3507,3855,5569,6109,7626,8012,6490,5023,3803,3048,2180,1854,1613,1383,1202,1103,1007,974,870,830,814,730,640,635,546,528,463,544,435,352,406,366,349,276,270,222,292,261,216,172,251,133]
[296,462,364,374,403,411,443,527,458,606,568,665,746,762,747,991,983,1174,1270,1685,2097,3064,3893,4614,4807,4212,3706,2874,2707,2595,2700,3345,4353,5167,5074,4548,3851,3217,3531,3079,3293,4031,4966,5706,5216,4499,4021,3546,3250,3251,3598,4457,5288,5770,5212,4711,3984,3514,3270,3372,3663,4474,5530,5773,5456,4970,4153,3511,3153,3491,3870,4529,5961,6173,5897,6220,4240,3563,3529,3484,3887,4673,5740,5880,5238,4588,4083,3577,3332,3412,3658,4758,5977,6086,5570,4875,4071,3318,3367,3055,3561,3984,5439,5517,5010,4187,3593,3197,2953,3125,3727,4365,5458,6933,5138,4086,3239,2642,2170,1863,1422,1257,1195,1125,896,935,923,791,714,700,663,577,538,537,483,365,445,361,370,342,332,284,209,310,185,314,224,168,176,171]
[398,382,359,432,353,412,475,498,592,598,635,709,780,797,833,892,1048,1144,1269,1730,2120,2598,3208,3493,3100,2685,2390,2160,2253,2186,2805,3384,3639,3656,3658,2882,2748,2566,3064,2721,3429,3784,3974,3995,3665,2958,2885,2877,2707,3019,3682,4079,4279,4240,3798,3017,2832,3169,2891,3226,3778,4406,4334,4347,3983,3289,2948,3043,2867,3402,3865,4473,4539,4665,4108,3489,3758,2905,3010,3455,3870,4053,4184,4301,3635,3241,2999,2846,3047,3359,3615,4316,4439,4148,3662,3066,2980,2860,2807,3111,3497,4176,3968,3790,3397,2989,2687,2561,2341,2994,3488,3734,4032,4252,2904,2441,2079,1685,1456,1273,1243,1083,1018,936,863,800,697,628,592,561,528,544,465,396,521,426,415,293,291,302,210,307,265,203,222,205,208,126,131,157]
[288,360,304,326,519,433,408,481,476,505,579,616,671,584,761,816,866,949,954,1109,1311,1479,1912,2184,2304,2180,2045,1952,2099,1900,2163,2174,2598,2873,2899,2755,2474,2383,2384,2202,2260,2562,3535,3068,3061,2821,2742,2643,2534,2524,2493,2905,3345,3234,3300,3124,2872,2668,2728,2640,2620,2971,3237,3520,3374,3164,2930,2872,2663,2701,2793,3017,3464,3606,3391,3223,2967,2780,2753,3192,2626,2904,3205,3293,3195,2879,2835,2603,2550,2786,2724,2811,3182,3637,3376,3157,2967,2802,2646,2652,2523,2666,3062,3056,2879,2830,2479,2430,2358,2349,2426,2648,2954,2955,2777,2432,2441,1895,1613,1394,1257,1109,1012,930,791,886,673,729,701,620,476,543,512,467,520,376,408,370,338,288,304,284,216,219,223,200,207,150,191,198]
[340,353,391,308,350,396,386,567,451,454,482,557,596,610,614,767,802,824,951,935,1238,1256,1545,1537,1688,1751,1797,1605,1575,1673,1732,1865,2014,2043,2108,2089,1954,2062,2059,1926,2073,2176,2387,2335,2708,2207,2269,2175,2175,2174,2452,2458,2541,2594,2539,2413,2483,2424,2240,2335,2333,2552,2644,2644,2730,2513,2340,2406,2329,2498,2309,2574,2721,2735,2826,2677,2544,2467,2409,2354,2381,2464,2997,2700,2515,2467,2395,2257,2193,2375,2363,2533,2680,2671,2550,2371,2398,2306,2330,2259,2424,2307,2348,2237,2310,2275,2125,2008,2033,1959,1988,1946,2162,1916,2027,1721,1661,1475,1394,1441,1096,1087,975,994,826,808,769,594,517,549,589,469,560,508,433,423,390,342,301,315,291,268,292,227,234,258,179,172,190,150]
[328,301,257,328,348,352,341,464,488,439,533,493,497,680,553,759,655,743,856,939,1000,1106,1135,1291,1280,1413,1344,1400,1490,1499,1532,1601,1760,1790,1842,1704,1780,1806,1633,1888,1862,1989,2135,1936,1939,1997,2142,2357,2018,2054,2248,2054,2190,2389,2241,2152,2097,2038,2087,2102,2188,2370,2296,2170,2080,2066,2176,2210,2118,2260,2222,2278,2341,2417,2214,2181,2163,2299,2231,2149,2121,2157,2290,2053,2506,2102,2202,1974,1920,2124,2035,2159,2181,2090,2117,2071,2093,2084,1903,2158,1921,2130,2082,1996,2016,1999,1913,1970,1851,1765,1812,1642,1728,1602,1626,1649,1379,1388,1198,1204,981,1113,1062,845,766,691,661,613,576,592,515,473,429,420,428,341,354,317,319,346,326,242,262,241,190,216,205,238,191,171]
[238,300,347,350,309,404,380,429,425,428,425,557,560,608,647,619,751,708,837,854,912,925,1115,1070,1240,1263,1299,1245,1248,1322,1463,1556,1630,1543,1560,1582,1559,1591,1757,1771,1883,1734,1831,1854,1824,1888,1775,1811,1781,2025,2463,2023,1996,2004,1848,2001,1927,1952,1978,1984,2113,2013,2040,2049,1863,2100,1955,2005,1937,1880,1992,2056,2076,2155,2217,2042,1954,1902,2038,1932,2067,2018,1977,1945,1952,1931,1715,2264,1967,1998,1908,1958,2003,1817,1851,1791,1793,1846,1833,1841,1693,1855,1810,1850,1608,1703,1630,1563,1616,1533,1566,1423,1511,1393,1304,1414,1263,1189,1093,1077,1028,961,882,877,771,885,688,678,548,610,448,455,453,450,366,336,338,339,281,331,304,241,291,225,227,289,193,213,213,222]
[204,317,330,313,367,383,363,408,391,396,416,426,633,526,560,584,775,691,686,917,806,819,932,967,932,1118,1065,1188,1213,1311,1253,1309,1293,1458,1386,1391,1395,1420,1452,1556,1508,1533,1698,1490,1612,1580,1634,1490,1514,1532,1586,1653,1685,1939,1653,1765,1590,1759,1708,1633,1845,1757,1913,1686,1944,1782,1866,1769,1789,2004,1825,1848,1808,1724,1737,1800,1741,1813,1689,1765,1791,1769,1720,1677,1770,1751,1694,1686,1706,1787,2097,1687,1600,1489,1702,1537,1645,1622,1669,1599,1666,1554,1577,1580,1444,1435,1469,1339,1419,1451,1468,1345,1445,1281,1224,1243,1043,1141,1010,995,922,819,815,765,717,652,633,544,686,545,423,487,465,359,389,408,366,333,327,249,308,211,241,256,239,255,200,190,215,187]
[217,241,263,250,341,311,369,378,397,433,502,451,527,503,515,509,675,673,705,865,742,883,770,828,993,966,964,1100,1066,1045,1166,1166,1254,1221,1313,1261,1288,1342,1258,1324,1476,1404,1529,1564,1374,1605,1420,1451,1505,1652,1542,1555,1602,1592,1623,1534,1874,1513,1473,1506,1593,1706,1610,1674,1688,1702,1608,1704,1690,1633,1625,1589,1677,1696,1756,1747,1689,1513,1600,1549,1607,1708,1665,1603,1642,1597,1601,1527,1543,1644,1594,1535,1419,1787,1502,1627,1467,1401,1585,1458,1481,1436,1561,1524,1413,1506,1433,1239,1291,1337,1274,1262,1166,1191,1006,1141,1151,932,951,871,860,875,748,707,705,612,598,588,591,525,416,572,472,356,331,384,362,295,319,329,315,269,256,249,160,224,171,211,187,170]
[188,294,268,311,290,365,333,391,430,383,417,432,483,520,519,563,613,656,667,678,661,837,896,871,837,880,927,879,943,1014,990,1023,1062,1097,1129,1314,1126,1154,1193,1169,1471,1184,1371,1444,1450,1460,1280,1421,1444,1315,1481,1442,1452,1600,1460,1423,1373,1581,1477,1686,1482,1541,1564,1486,1504,1457,1505,1430,1482,1503,1570,1578,1497,1377,1539,1481,1428,1362,1547,1404,1473,1562,1360,1479,1487,1522,1395,1365,1404,1316,1469,1470,1470,1328,1389,1354,1620,1336,1351,1245,1363,1302,1295,1358,1249,1244,1140,1226,1194,1114,1058,1169,1069,1122,1084,1040,967,900,840,827,753,786,687,672,632,709,558,545,570,420,431,388,390,407,386,304,369,359,272,253,281,225,192,245,215,200,166,217,196,209]
[219,274,308,276,333,335,345,316,316,418,397,448,364,420,502,622,609,527,627,649,593,792,701,777,720,980,875,871,880,886,1032,987,1077,1045,1008,996,1089,1142,1027,1173,1215,1229,1288,1350,1292,1290,1313,1291,1267,1236,1296,1316,1291,1329,1350,1282,1176,1313,1379,1409,1292,1468,1632,1433,1554,1349,1369,1414,1311,1312,1507,1461,1469,1403,1464,1452,1389,1322,1455,1379,1394,1478,1357,1373,1304,1336,1292,1248,1281,1384,1316,1289,1309,1342,1280,1198,1221,1181,1175,1258,1458,1276,1207,1201,1169,1193,1153,1121,1145,994,1059,951,1029,948,999,884,786,857,773,755,713,748,663,688,602,624,544,539,516,488,488,457,384,429,307,334,278,413,296,267,208,311,264,242,275,251,154,180,179,166]
[287,246,286,259,322,270,350,300,335,339,418,363,463,477,410,436,434,517,564,688,510,654,724,790,746,813,792,827,959,820,967,816,947,919,1078,1066,1015,1076,1030,1050,1098,1091,1163,1133,1012,1137,1051,1050,1101,1235,1149,1312,1136,1299,1214,1201,1268,1145,1111,1190,1271,1202,1243,1226,1199,1501,1257,1143,1271,1232,1321,1284,1249,1297,1284,1290,1316,1199,1152,1257,1320,1233,1243,1194,1336,1239,1063,1108,1258,1209,1146,1176,1265,1126,1241,1125,1129,1159,1100,1163,1152,1149,1276,1006,1134,1084,1068,969,1078,918,898,1001,892,907,902,900,809,818,761,607,595,620,664,634,611,560,504,465,479,443,360,411,394,316,380,318,257,343,315,228,274,246,214,240,269,174,180,172,178,141]
[269,207,210,263,296,270,251,277,396,336,404,386,416,375,425,386,486,442,509,601,630,574,585,657,636,701,684,712,744,740,985,789,703,935,938,815,915,828,913,919,1013,1041,1170,1012,1054,953,981,1120,1034,1082,1019,1092,1052,1031,1117,1180,1107,1076,1020,1089,1171,1130,1103,1158,1065,1107,1172,1126,1337,1136,1128,1160,1101,1140,1147,1141,1159,1214,1085,1044,1130,1234,1101,1205,1179,1123,1042,1241,1083,1031,1065,1093,1172,1196,1208,1031,1082,882,1068,869,935,988,1038,955,848,1128,947,897,917,880,993,812,822,895,835,799,705,723,675,713,604,601,576,572,548,538,493,482,422,467,429,361,371,293,334,345,341,277,272,230,261,239,230,175,168,166,153,100,140,187]
[200,236,280,268,299,302,279,267,335,370,358,422,409,405,444,410,435,473,462,545,453,512,649,617,599,621,633,645,650,717,739,762,815,913,796,840,832,924,931,918,979,882,970,952,1028,1031,902,977,952,890,975,983,1043,1065,930,1185,1061,977,959,1008,1103,1131,1071,1101,1112,1002,1057,1070,933,1039,1110,1311,1031,1033,1039,1097,1049,1010,1067,940,1089,1038,1040,1057,1025,1032,1015,1055,943,1002,987,1007,968,944,880,865,904,839,918,891,906,835,975,860,947,871,870,810,1048,767,851,780,756,706,748,729,699,723,594,715,563,563,574,503,493,543,485,528,412,396,442,374,327,372,292,311,248,271,229,227,206,225,260,182,216,158,235,164,141,94]
[250,252,226,305,270,271,288,336,347,364,306,358,432,343,344,443,428,454,370,440,488,500,540,537,611,487,556,575,607,611,660,719,674,718,781,734,780,858,775,857,841,807,807,987,828,932,885,877,889,918,925,904,1060,889,989,826,995,940,848,1038,934,1001,905,991,958,1036,951,919,895,983,890,902,964,998,1156,906,963,1011,970,883,883,889,1010,881,882,1023,881,879,837,881,947,912,866,888,859,848,846,857,815,794,789,794,865,873,750,827,795,770,785,696,698,842,709,634,702,662,605,624,564,589,502,579,454,480,495,512,402,361,442,404,305,336,296,315,317,252,263,231,268,205,190,239,197,220,122,173,170,96,100,204]
[218,242,242,282,282,260,304,341,292,336,291,331,310,335,342,406,333,353,435,425,452,353,478,581,482,548,577,553,547,665,643,550,552,677,690,706,605,759,639,687,881,801,882,791,904,862,825,860,754,816,839,880,887,863,859,886,826,951,888,887,888,935,993,959,849,900,923,876,934,911,971,868,790,935,985,858,893,1017,787,900,851,888,889,956,830,867,853,891,772,849,858,830,838,821,889,858,822,835,816,712,760,744,672,706,752,732,758,733,664,607,729,685,659,706,550,767,548,550,571,569,487,514,476,420,467,462,380,391,367,407,357,335,340,287,279,304,334,230,265,184,177,205,270,153,201,197,193,130,176,138]
[236,173,282,279,253,300,286,223,322,276,391,280,305,272,317,323,380,328,293,445,399,495,473,463,494,551,468,546,543,597,551,645,582,563,632,625,659,631,645,689,737,771,712,869,713,844,702,813,798,829,774,783,778,835,803,798,803,751,847,793,828,798,883,804,788,813,825,841,717,821,843,742,861,847,869,860,788,880,850,848,1078,768,851,843,896,829,827,838,750,762,784,697,733,870,757,731,747,760,639,616,655,709,781,654,682,640,576,624,683,698,654,598,570,554,601,542,538,557,452,517,440,423,533,446,349,433,455,438,370,284,402,332,326,341,244,263,222,289,284,230,228,242,245,212,193,229,86,205,184,191]
[201,180,259,256,148,245,239,331,351,344,221,342,274,364,359,337,354,385,340,381,334,417,356,390,489,392,468,470,543,569,536,591,570,581,617,545,620,702,635,605,695,743,661,624,712,673,763,645,628,673,721,717,891,743,758,674,797,855,770,745,801,806,716,728,771,737,790,807,831,799,713,856,760,779,760,842,812,712,659,698,839,692,792,913,804,677,735,728,720,644,757,704,773,718,679,707,628,720,651,712,625,668,638,634,673,626,601,595,618,639,538,549,527,512,488,589,510,516,501,420,435,469,355,437,446,379,365,392,363,347,317,236,287,297,273,279,203,269,185,241,208,257,200,98,157,161,177,94,108,86]
[178,218,216,196,230,207,296,340,277,323,254,357,304,301,307,320,297,397,368,403,475,347,387,393,438,477,413,418,469,563,589,481,549,597,516,559,553,544,696,640,572,570,658,597,654,609,751,706,619,641,623,698,670,757,692,740,734,698,645,718,679,612,666,645,588,690,699,736,648,735,734,724,707,770,764,706,710,773,712,694,650,689,725,776,623,681,680,584,688,635,624,650,642,624,662,666,630,576,585,691,656,582,583,611,574,537,638,584,462,460,493,436,528,519,445,490,538,455,434,359,388,522,323,347,401,339,367,359,325,351,332,250,302,290,229,239,243,207,201,256,211,208,126,135,145,182,98,72,90,92]
[182,234,297,181,235,228,246,291,202,204,307,250,263,351,246,327,318,397,307,351,329,333,377,391,361,377,395,436,487,396,495,557,444,563,467,494,520,583,518,632,574,524,621,591,595,589,589,661,524,673,574,565,635,676,610,595,602,667,638,752,611,668,659,645,706,580,617,639,683,611,656,592,700,685,604,657,633,613,613,633,633,679,664,581,708,670,735,669,589,676,530,638,600,544,605,518,518,567,615,559,506,536,582,548,548,469,563,552,488,516,532,486,424,383,404,397,412,435,412,434,356,376,352,334,437,284,341,381,334,297,279,294,347,237,261,338,297,212,164,239,165,178,176,142,146,141,98,203,86,96]
[230,215,209,187,196,266,230,229,233,270,259,206,293,218,273,337,324,357,341,378,351,305,323,418,282,429,377,385,475,451,387,420,414,511,538,475,526,522,436,553,586,584,569,623,509,541,572,565,555,633,564,610,694,693,657,559,585,567,584,620,636,632,556,590,628,627,609,535,576,555,583,589,545,581,525,614,540,596,582,650,648,605,637,543,596,646,611,563,555,553,560,508,704,540,563,571,574,596,518,610,557,513,508,493,528,410,550,443,459,503,468,423,476,459,398,486,395,405,372,367,406,388,357,267,280,271,289,327,279,316,260,251,309,294,267,199,253,158,225,149,219,157,191,199,180,145,120,215,94,70]
[223,257,268,250,257,214,200,211,285,285,278,209,231,311,281,249,285,308,355,394,465,341,303,358,317,330,370,369,398,384,361,491,435,422,474,489,470,439,418,521,482,402,549,492,489,406,496,518,475,516,473,587,522,489,546,588,579,590,557,628,547,585,543,572,582,596,635,558,575,579,523,581,627,625,580,540,674,507,595,483,566,563,596,543,605,529,580,506,542,492,435,534,493,510,591,671,373,507,544,471,554,538,503,467,448,505,446,411,420,343,464,392,368,340,361,400,362,375,356,368,309,330,276,269,329,284,347,351,312,320,277,303,304,213,263,192,234,267,250,223,184,179,169,90,94,80,176,141,80,98]
[238,198,231,179,238,233,201,219,288,286,200,219,256,250,233,299,242,295,316,298,325,412,346,310,311,282,359,370,430,346,374,403,448,374,440,492,405,394,528,393,472,448,468,401,481,456,436,508,503,474,603,441,602,444,581,500,482,546,541,485,448,519,601,506,533,488,485,465,509,542,494,513,519,520,546,452,595,563,521,512,560,499,580,402,587,547,442,554,539,530,521,509,514,509,416,464,524,461,441,466,547,445,457,437,379,454,386,388,427,382,441,337,441,381,325,396,365,262,367,391,320,305,303,363,306,233,360,302,301,220,250,248,241,273,218,189,203,188,222,129,153,194,96,189,211,166,190,74,96,80]
[161,193,146,237,257,216,197,231,241,228,248,160,239,240,192,296,243,228,316,268,294,326,248,289,268,294,283,395,265,379,361,395,413,401,402,435,326,423,420,479,406,531,426,470,488,429,452,452,441,450,432,424,486,489,441,440,514,488,490,530,433,481,481,573,477,560,472,480,478,454,469,545,484,453,511,424,481,509,547,477,494,418,517,455,490,388,445,446,467,429,393,528,441,417,480,416,375,457,401,435,370,438,413,419,404,467,406,421,482,343,406,374,305,350,340,359,367,311,349,317,286,313,279,286,297,298,232,252,253,187,195,231,191,205,254,255,191,204,203,269,98,138,254,138,84,76,88,92,100,82]
[153,144,191,134,253,222,210,284,171,171,219,257,274,209,184,261,289,199,303,229,284,324,241,307,293,346,322,318,321,274,303,400,376,376,299,346,408,316,395,454,342,316,456,401,563,425,508,468,489,410,429,418,400,448,429,497,482,514,466,412,370,504,463,513,414,440,479,516,500,469,471,492,496,516,385,476,470,532,394,425,477,359,523,469,456,444,439,461,342,459,427,363,394,464,419,395,391,345,450,398,480,376,378,414,356,374,398,401,314,291,374,320,231,312,311,298,367,257,360,382,322,280,242,247,295,257,270,184,203,273,275,235,179,189,155,228,247,159,226,197,216,228,213,92,113,121,96,90,86,80]
[159,206,167,231,239,153,194,244,190,237,216,245,236,187,282,207,240,232,225,231,279,241,255,258,216,280,277,310,241,358,280,255,380,296,385,343,319,321,401,384,377,407,390,396,390,361,371,471,421,443,409,422,391,423,451,381,433,447,367,360,380,438,419,431,427,340,379,453,351,436,432,427,380,362,368,436,379,475,423,414,422,447,368,409,452,409,454,363,364,410,347,359,452,361,421,370,420,387,419,376,372,272,382,305,370,386,324,340,321,301,356,315,325,229,317,277,307,274,300,252,192,214,293,222,197,219,226,207,196,186,184,237,198,187,186,142,163,168,230,195,192,112,151,90,88,74,169,98,78,88]
[211,245,208,226,186,153,185,193,243,199,208,204,239,292,275,288,292,217,297,267,251,242,192,254,324,357,290,274,294,294,323,334,263,310,282,305,395,304,346,372,373,388,410,349,358,309,400,440,388,362,480,375,429,342,402,418,343,406,371,378,304,474,414,422,352,416,357,461,390,495,485,428,505,453,424,365,410,400,400,415,385,404,437,399,365,397,346,401,404,414,384,363,334,377,335,403,339,372,385,397,404,330,414,294,330,354,317,354,288,304,311,245,328,302,238,247,257,257,253,228,280,252,237,237,244,304,253,260,231,275,167,241,280,145,161,166,161,225,149,116,164,92,232,88,137,78,92,86,90,80]
[98,148,185,163,104,172,155,235,202,204,223,172,164,245,235,219,282,246,241,246,243,236,188,238,304,257,295,216,260,304,343,327,272,207,340,260,332,300,294,282,356,377,359,340,377,318,400,365,329,414,311,302,300,408,431,363,284,349,350,356,422,317,387,426,392,436,343,363,358,278,458,395,368,405,392,412,321,424,366,334,363,373,345,348,313,287,390,404,331,356,314,341,333,347,304,265,344,364,303,280,358,283,299,319,288,257,304,317,285,351,272,297,259,254,312,276,260,208,246,198,234,292,197,241,185,244,188,298,209,168,222,125,196,144,130,155,235,90,80,216,163,113,98,131,88,90,62,52,82,54]

{"sheet":"Figure_1D_layer_12","index":12,"n_rows":150,"n_cols":150,"rows_kept":150}
[12,22,14,14,8,32,40,24,18,14,22,22,24,24,32,34,20,38,26,12,28,50,72,52,44,86,78,84,151,96,163,100,98,88,131,165,220,178,128,137,123,233,161,243,179,190,157,237,214,285,247,215,238,178,246,253,184,253,147,254,217,295,193,203,274,253,182,251,240,225,207,212,232,212,295,261,215,263,252,253,303,236,282,291,292,227,243,207,265,290,274,263,242,268,229,251,237,237,289,267,281,248,325,260,233,248,281,280,283,250,218,199,234,205,186,219,248,205,169,185,166,207,178,226,247,176,142,166,203,140,82,90,151,98,90,78,58,84,46,58,64,64,54,62,44,60,60,56,52,34]
[24,4,22,4,10,6,38,22,36,26,36,26,16,40,40,20,34,34,34,42,52,74,62,60,54,68,78,170,92,96,207,194,143,133,197,189,170,238,236,175,239,147,196,246,293,214,294,225,170,242,232,288,234,268,309,274,251,273,179,200,302,254,265,223,252,313,233,256,298,275,273,264,295,224,304,240,313,243,263,253,230,262,292,280,286,237,251,285,307,303,324,238,361,295,248,366,296,286,238,284,324,325,278,287,239,300,181,216,251,270,307,243,228,195,182,244,231,285,217,206,281,284,203,148,217,187,156,143,173,221,120,147,128,207,74,88,68,84,72,72,76,86,48,54,56,32,24,38,30,48]
[30,18,2,28,26,22,34,30,16,24,48,36,20,34,26,30,50,52,42,48,52,68,94,90,88,202,82,184,200,158,201,187,148,134,166,272,259,213,221,219,279,259,211,241,284,218,239,236,220,204,252,275,276,285,310,267,246,269,287,346,282,312,254,292,284,310,307,229,332,323,292,274,247,306,366,240,346,322,354,228,281,359,318,312,343,305,355,372,374,349,255,274,262,288,255,313,287,309,327,405,320,340,364,292,279,304,317,262,323,337,289,303,353,323,327,240,261,243,325,305,277,253,246,234,186,203,142,285,206,136,196,206,143,197,98,92,195,50,76,62,64,62,66,52,64,36,46,34,34,60]
[14,32,18,46,14,28,20,22,26,38,24,50,30,34,48,30,38,44,42,76,56,84,68,160,173,164,176,154,168,92,228,205,285,247,242,244,299,293,276,175,358,326,236,266,235,298,361,356,232,339,302,346,264,394,344,297,373,345,391,290,321,290,250,287,393,282,263,381,298,402,351,309,327,386,386,340,322,362,332,362,334,294,325,371,387,308,392,355,391,332,454,371,415,349,259,442,360,320,408,425,315,413,332,379,386,332,316,298,288,276,334,317,325,294,321,319,353,294,296,239,221,207,260,258,263,236,239,266,218,245,226,242,157,213,86,167,96,94,60,90,58,62,74,54,60,30,40,58,54,42]
[22,36,20,12,24,38,30,28,16,20,34,40,44,56,48,64,58,62,64,80,72,143,192,140,194,217,205,177,246,248,175,278,253,213,269,274,215,246,351,288,401,294,267,366,317,377,318,311,437,320,331,391,425,271,326,388,403,348,337,342,400,434,382,325,312,432,427,388,388,340,380,371,386,396,386,415,385,342,366,383,414,405,396,378,391,388,387,404,423,399,360,369,347,434,459,461,355,377,404,314,291,289,340,400,279,377,388,330,328,355,346,350,387,373,298,295,360,350,296,301,336,314,309,270,231,219,220,226,256,249,253,185,148,155,92,98,98,100,96,94,68,66,68,48,82,72,58,54,36,54]
[18,32,12,24,20,28,8,30,48,28,46,36,44,56,44,58,72,76,54,88,185,150,165,243,137,209,203,224,294,267,247,265,298,362,299,383,298,310,315,409,394,330,394,354,362,385,347,396,417,425,395,354,419,401,331,379,485,464,504,505,366,418,476,387,363,411,466,348,452,496,413,352,451,460,417,451,419,483,393,426,325,348,392,440,465,423,407,510,492,421,455,414,438,373,424,363,364,602,440,415,331,385,425,471,423,445,485,508,426,393,353,414,413,303,330,383,363,370,335,307,381,365,347,270,220,323,278,197,261,215,201,204,217,168,217,186,194,136,82,96,64,66,80,82,72,42,44,62,42,50]
[18,16,20,22,14,32,34,40,30,26,46,64,64,60,102,84,66,96,98,140,208,182,161,181,210,232,205,304,339,235,249,291,256,274,337,351,434,294,395,366,512,320,393,341,374,439,405,399,380,459,435,404,517,534,392,435,514,509,469,428,495,483,501,616,492,535,500,571,444,506,553,517,552,484,452,500,441,482,452,454,442,501,507,483,413,474,479,498,526,424,503,485,458,525,427,495,467,476,510,470,611,367,395,503,502,421,427,456,460,497,422,444,363,472,452,465,383,391,306,451,355,323,322,348,289,272,347,275,221,235,241,246,242,222,190,213,169,203,197,66,70,74,215,64,66,66,52,56,56,56]
[10,24,20,16,26,34,30,44,48,42,48,54,44,76,70,80,88,82,200,226,161,225,213,234,222,245,264,261,255,300,309,294,410,400,414,414,385,351,406,449,471,447,460,450,414,431,514,440,454,476,389,549,486,543,444,469,526,416,444,413,545,498,459,476,494,496,582,560,510,524,440,535,519,588,469,559,594,457,546,550,548,553,514,534,495,540,532,501,454,490,500,482,520,520,511,485,545,482,519,406,475,550,500,619,453,418,463,471,496,493,384,386,453,427,446,474,452,439,388,315,370,337,262,291,292,340,306,275,215,161,309,170,165,199,163,210,199,109,100,80,217,76,187,76,70,62,86,30,72,38]
[16,42,28,40,44,34,48,20,50,34,56,64,76,78,88,148,173,74,217,157,131,231,186,290,302,297,367,312,383,325,306,426,443,416,473,380,414,499,524,447,460,509,502,599,521,448,554,545,584,534,527,541,534,581,594,620,568,597,596,519,529,605,522,548,542,559,583,593,621,747,571,542,561,581,620,601,674,554,606,527,557,575,569,622,594,666,589,558,691,607,546,581,528,520,662,591,491,564,693,535,518,570,499,564,501,566,677,634,589,541,509,446,593,510,497,480,425,398,503,455,355,437,343,441,326,318,305,403,264,283,230,233,290,242,201,207,100,238,194,88,80,78,90,127,78,68,64,84,44,36]
[40,26,16,26,28,40,38,46,50,54,64,70,80,62,140,145,194,210,236,207,233,186,243,258,326,279,435,389,361,440,405,414,476,411,640,496,529,580,437,568,536,611,526,503,553,541,650,625,624,603,634,666,632,552,658,590,670,669,594,576,724,671,685,666,574,542,642,677,711,629,620,595,751,584,703,677,606,684,695,633,668,616,696,607,649,727,689,620,625,610,563,654,655,697,668,609,671,587,658,561,627,686,621,660,630,586,591,590,583,689,571,589,490,550,524,467,480,499,485,468,449,446,394,391,393,358,362,322,329,282,223,303,228,274,224,225,198,147,207,194,158,191,80,88,80,92,76,50,58,72]
[24,34,34,42,34,42,42,32,58,68,72,82,82,153,216,151,141,213,223,252,239,264,278,371,329,314,397,488,399,366,490,415,467,561,486,494,512,639,606,603,626,614,583,656,605,571,710,606,700,590,647,645,651,805,671,708,749,726,683,662,803,814,666,668,652,774,739,673,733,732,723,726,739,716,787,803,698,690,633,709,596,697,645,798,744,769,684,699,693,754,659,808,696,648,678,725,678,663,693,606,637,709,722,684,689,754,648,623,547,588,539,671,637,542,605,575,534,634,512,542,534,441,432,439,446,453,395,319,290,275,313,275,271,245,217,204,215,169,144,168,96,146,66,92,130,72,64,52,76,64]
[28,28,40,34,50,56,44,76,60,72,68,82,92,231,230,251,203,201,259,310,305,271,347,333,427,484,389,408,424,442,452,571,539,648,613,643,625,604,656,642,822,709,747,739,743,698,707,699,682,635,670,733,745,682,607,653,725,707,746,772,690,786,867,782,832,833,666,656,850,772,785,765,825,818,788,794,879,884,1043,841,802,842,773,836,768,815,831,850,751,794,751,819,760,719,754,795,765,785,647,642,818,702,661,797,710,736,764,794,705,631,697,714,695,625,566,663,677,704,554,533,500,472,488,462,448,472,422,475,361,335,294,217,249,225,260,181,228,216,119,225,193,160,200,96,86,96,82,50,60,54]
[40,30,40,20,50,56,76,74,72,98,98,151,195,166,233,261,266,232,252,306,353,322,382,361,500,442,478,484,546,523,547,583,584,674,692,645,680,695,724,772,853,777,799,698,852,781,916,852,846,899,717,826,795,885,859,783,788,842,972,910,865,837,855,798,891,852,891,885,952,819,881,916,901,906,902,924,854,935,1027,798,885,1018,868,953,866,827,877,914,966,950,791,840,819,799,869,808,804,915,892,920,772,834,787,935,895,764,799,728,833,723,747,794,775,680,760,654,735,681,804,645,646,541,554,450,429,472,390,371,358,371,302,322,229,280,203,161,226,217,176,168,179,98,138,80,80,96,82,68,58,78]
[16,46,44,52,66,52,76,74,76,174,170,131,182,224,265,225,192,307,267,384,304,370,479,425,458,641,500,625,602,593,761,711,715,690,749,750,811,817,833,834,768,874,836,897,910,925,1043,864,844,1045,881,928,956,1025,957,896,862,1031,968,969,962,997,999,1070,964,887,989,978,981,922,961,970,921,986,1003,953,950,956,936,1007,955,889,1006,891,1174,948,949,1019,980,937,999,859,1003,946,1069,959,906,960,975,1047,861,900,921,893,876,834,932,974,920,815,855,783,833,810,703,780,768,717,685,729,721,785,541,498,523,502,463,438,423,368,320,348,357,265,265,246,247,225,248,187,192,209,96,198,100,74,88,74,94,60]
[54,44,48,46,54,44,78,64,84,160,165,232,233,198,272,264,308,279,374,315,372,505,511,540,555,591,673,704,699,728,828,733,814,831,872,914,961,966,949,941,858,968,1012,905,980,946,957,916,1026,1223,1041,1028,1058,1127,1099,1017,1019,1113,995,1052,1000,1028,1088,1120,1123,1077,1161,1104,1036,1130,1042,944,1071,1089,1045,1070,1142,1257,1158,1108,1090,999,1168,1118,1162,1075,1255,1123,1140,1160,985,1015,1021,1050,989,1090,1084,1114,1074,996,974,918,1009,973,997,970,926,1051,959,827,974,872,877,919,868,803,766,793,723,804,774,696,644,674,539,520,550,474,453,372,302,372,323,292,231,270,212,235,178,210,184,129,84,100,100,58,76,64,62,58]
[46,52,62,62,60,90,88,84,100,174,149,180,318,253,290,331,350,482,409,437,482,494,588,660,643,701,643,719,816,689,854,893,918,954,1079,1088,1040,1073,985,955,1059,1062,1096,1126,1087,1034,1121,1131,1113,1010,1112,1049,1154,1068,1172,1206,1208,1196,1149,1153,1112,1242,1173,1202,1171,1191,1225,1202,1099,1203,1127,1168,1249,1085,1232,1263,1243,1214,1189,1135,1225,1250,1210,1142,1284,1277,1216,1483,1206,1222,1112,1137,1098,1164,1179,1172,1204,1102,1162,983,1090,1104,1080,1110,1131,1141,1161,1012,1029,956,968,976,1043,1019,969,939,926,822,768,803,703,676,624,589,575,600,481,432,423,384,371,374,287,319,249,273,232,203,240,194,155,152,128,98,94,90,98,70,82,46]
[60,50,60,40,66,94,138,100,211,231,190,274,227,319,361,370,428,422,435,543,504,553,699,702,619,796,809,887,869,978,977,920,1008,1111,1135,1121,1275,1171,1073,1088,1174,1117,1350,1256,1206,1138,1277,1263,1225,1190,1424,1238,1269,1283,1363,1300,1293,1232,1203,1202,1236,1369,1279,1299,1268,1415,1342,1308,1233,1225,1259,1303,1347,1301,1288,1355,1288,1322,1246,1310,1215,1215,1302,1306,1325,1307,1307,1557,1280,1224,1276,1291,1268,1349,1335,1307,1384,1231,1277,1197,1305,1216,1324,1096,1298,1291,1251,1158,1104,1046,1040,958,1057,1003,931,997,908,875,855,824,682,787,702,642,549,703,507,508,420,434,445,390,364,314,286,266,224,297,199,260,176,198,132,182,147,130,86,82,84,76]
[34,62,50,66,66,72,70,167,174,147,223,244,288,240,247,308,395,432,518,573,510,526,576,643,744,793,900,897,911,916,1015,1062,1128,1123,1193,1221,1295,1361,1285,1275,1168,1310,1161,1338,1337,1334,1308,1379,1341,1306,1286,1399,1318,1687,1433,1462,1417,1412,1408,1461,1358,1371,1404,1405,1487,1528,1500,1623,1464,1478,1256,1435,1559,1460,1419,1523,1501,1494,1391,1500,1394,1454,1364,1526,1321,1415,1464,1476,1477,1406,1701,1345,1309,1510,1425,1455,1458,1384,1388,1407,1408,1282,1413,1358,1381,1256,1365,1336,1425,1292,1240,1196,1200,1109,1171,1146,1115,958,917,1008,897,862,813,907,721,738,622,749,560,540,451,419,453,394,352,274,265,275,251,213,270,157,155,186,204,198,98,92,96,197]
[46,64,80,54,90,86,117,174,198,158,235,249,182,345,442,392,407,461,500,711,611,668,731,796,891,873,949,1065,1070,998,1143,1155,1169,1222,1301,1397,1355,1395,1352,1258,1362,1221,1442,1450,1531,1483,1388,1516,1394,1429,1469,1502,1494,1450,1565,1572,1855,1462,1578,1497,1426,1475,1563,1556,1639,1654,1525,1561,1640,1663,1635,1533,1593,1647,1700,1714,1613,1564,1599,1589,1608,1600,1569,1698,1661,1649,1770,1690,1616,1641,1544,1539,1586,1925,1574,1607,1622,1446,1497,1494,1482,1397,1452,1611,1521,1504,1433,1507,1501,1413,1346,1326,1280,1370,1427,1214,1272,1226,1119,1014,1031,983,908,849,746,782,728,589,662,475,509,516,423,445,396,390,286,217,288,199,236,156,235,144,162,188,116,84,210,115]
[48,70,74,70,80,88,193,169,156,237,293,277,338,381,337,439,476,580,516,587,660,830,950,916,911,968,1007,1074,1092,1196,1246,1187,1362,1400,1435,1469,1469,1479,1371,1379,1462,1575,1512,1581,1541,1585,1587,1613,1542,1638,1504,1651,1486,1737,1665,1735,1648,1721,1585,1966,1672,1689,1540,1806,1765,1778,1775,1713,1768,1735,1767,1790,1846,1776,1708,1750,1831,1687,1715,1825,1657,1726,1825,1773,1827,1795,1811,1736,1712,1634,1553,1657,1700,1596,1761,1752,2029,1597,1618,1659,1577,1479,1760,1598,1618,1573,1424,1569,1465,1429,1529,1396,1388,1405,1436,1321,1325,1138,1152,1017,1054,932,930,945,833,853,765,631,614,583,558,516,416,397,456,311,280,280,356,235,173,207,176,143,166,204,98,128,74,114]
[68,82,106,74,78,100,171,187,153,270,311,236,360,390,303,403,510,570,569,701,779,691,873,935,962,1326,1173,1144,1238,1330,1390,1475,1477,1568,1541,1621,1641,1630,1611,1579,1707,1752,1599,1752,1740,1777,1777,1720,1726,1802,1813,1625,1817,1855,1809,1895,1805,1834,1800,1866,1779,1950,2212,1783,1940,1931,1991,1811,2045,1804,1908,1832,1910,1928,1962,2001,2055,1969,1982,1922,1745,1975,1958,1841,1945,1921,2005,1889,2022,1995,1796,1913,1828,1826,1918,1860,1753,1784,1859,2047,1826,1722,1770,1842,1802,1735,1930,1640,1673,1613,1689,1632,1532,1446,1496,1429,1390,1322,1348,1167,1047,1092,1035,915,898,815,827,683,646,658,554,518,494,385,435,394,331,358,330,228,205,214,215,271,172,159,222,210,167,84]
[60,58,58,78,154,177,202,188,245,180,326,271,290,328,441,537,477,589,724,794,836,893,931,1071,1072,1140,1268,1240,1238,1295,1432,1430,1623,1707,1779,1830,1743,1827,1880,1887,1831,1704,1781,1847,2176,1910,1997,1831,1771,1907,1920,1836,1992,2055,1985,2022,2005,2053,1995,2038,1895,2000,2006,2183,2087,2281,2134,2029,2200,2055,2066,2010,1933,2133,2016,2174,2195,2005,2224,2033,2039,2548,2150,2162,2246,2174,2102,2039,1942,2073,2082,2058,1992,2114,2078,2089,1996,2068,1979,2020,1891,1942,1937,2021,1953,2097,1889,1803,1896,1876,1818,1804,1916,1650,1756,1551,1501,1479,1460,1612,1157,1203,1072,989,905,881,897,752,730,665,621,533,566,431,319,344,369,345,253,221,207,273,230,205,202,159,217,133,98,80]
[74,70,170,98,96,156,171,178,234,278,316,454,384,369,460,558,561,600,752,775,843,996,1013,1166,1229,1380,1363,1467,1427,1555,1630,1758,1710,1915,1827,1999,2011,2030,2070,2011,1989,1875,1850,1959,1872,2054,2086,2584,2053,2089,2032,2151,2143,2078,2084,2165,2224,2319,2188,2099,2181,2267,2227,2235,2326,2239,2376,2234,2287,2164,2230,2281,2246,2214,2311,2306,2228,2325,2270,2229,2164,2244,2361,2304,2663,2282,2339,2344,2427,2328,2310,2246,2271,2212,2399,2156,2259,2308,2169,2048,2185,2110,2191,2116,2116,2199,2155,2096,2072,1947,1948,1923,1948,1811,1828,1724,1660,1591,1480,1411,1306,1503,1215,1172,967,900,881,786,694,654,586,550,515,445,353,407,344,349,403,259,331,184,262,244,259,214,166,187,92,70]
[70,66,169,122,100,190,229,146,210,285,316,311,383,479,565,559,581,656,797,886,1021,1183,1228,1375,1417,1366,1621,1625,1700,1814,1801,1903,2033,2076,2083,2186,2368,2256,2232,2263,2189,2151,2223,2222,2229,2289,2369,2242,2170,2321,2403,2300,2214,2368,2362,2429,2462,2305,2504,2492,2371,2444,2434,2491,2475,2663,2540,2521,2573,2541,2492,2482,2563,2661,2527,2676,2629,2504,2630,2569,2518,2549,2635,2589,2614,2736,2569,3091,2600,2416,2557,2536,2549,2721,2467,2497,2531,2458,2549,2448,2326,2420,2416,2308,2288,2274,2478,2319,2261,2121,2160,2123,2094,2074,2013,1865,1858,1664,1727,1624,1534,1318,1334,1204,1035,1116,980,922,834,697,543,616,564,482,450,370,483,311,364,380,259,243,213,208,158,178,261,175,154,121]
[72,76,96,170,92,187,154,252,228,236,341,330,365,445,465,567,775,829,835,1035,1047,1241,1239,1433,1615,1634,1653,1880,1955,2019,2062,2179,2200,2391,2397,2431,2451,2330,2491,2314,2446,2454,2372,2389,2533,2581,2663,2590,2600,2446,2349,2575,2551,3223,2660,2841,2734,2855,2623,2706,2550,2554,2844,2810,2909,2703,2804,2900,2758,2667,2692,2816,2756,2746,2769,2927,2894,2882,2766,2829,2747,2765,2672,2878,2804,2908,2928,2848,2847,2792,3311,2612,2748,2611,2647,2715,2817,2773,2896,2709,2492,2553,2473,2529,2524,2689,2648,2637,2496,2582,2484,2513,2512,2324,2293,2193,2052,1967,1770,1720,1624,1496,1421,1235,1186,991,1075,1113,893,808,781,723,563,629,473,462,366,359,320,337,340,240,290,279,262,172,222,247,144,92]
[76,90,80,188,158,225,222,269,216,273,348,287,467,530,558,625,684,787,899,1186,1152,1361,1436,1714,1710,1872,2022,1991,1997,2130,2296,2267,2422,2565,2724,2715,2548,2727,2685,2501,2601,2677,2700,2695,2771,2693,2862,2788,2827,2805,2926,2806,2829,2948,2846,2927,3711,3005,3163,3027,2982,2840,2995,3146,3156,3066,3069,3134,2975,3033,3033,2962,3061,3078,3084,2960,3020,2950,3220,2837,3037,2900,3043,3219,3104,3164,3158,2997,2874,2857,2861,2904,2779,2960,3402,3051,2859,2888,2941,2793,2675,2842,2729,2743,2710,2885,2813,2705,2688,2480,2706,2567,2592,2466,2484,2451,2321,1948,2038,1877,1784,1682,1405,1394,1253,1206,1014,997,867,955,723,867,721,634,460,530,458,438,338,284,298,348,288,302,164,226,182,98,197,173]
[88,167,139,213,178,205,251,252,290,215,330,334,419,444,525,619,652,746,901,1075,1320,1471,1923,2015,2067,2186,2363,2489,2445,2542,2621,2706,2682,3182,3000,3205,2976,3093,2956,2897,2911,2852,3092,3000,3107,3043,3180,3213,3203,2901,2863,3029,3048,3394,3459,3312,3515,3308,3193,3767,3270,3243,3521,3373,3511,3434,3483,3293,3297,3455,3321,3452,3250,3512,3659,3546,3446,3439,3628,3256,3320,3350,3520,3690,3785,3578,3470,3473,3362,3168,3335,3232,3318,3434,3485,3415,3974,3298,3317,3230,3176,3087,3161,3213,3383,3320,3250,3152,2996,3164,2960,2975,3107,3095,2931,2833,2534,2441,2185,2159,1986,1821,1626,1464,1277,1298,1060,1028,900,989,773,720,686,657,604,519,441,429,320,386,409,340,299,227,257,189,185,237,222,128]
[56,90,130,118,151,166,186,281,231,318,381,408,412,469,533,709,699,795,995,1116,1310,1530,1900,2157,2430,3412,2841,2803,2878,2943,2976,3202,3237,3600,3702,3819,3519,3662,3281,3305,3204,3427,3362,3423,3620,3637,3747,3624,3487,3206,3338,3362,3570,3895,3719,3956,3850,3614,3476,3710,3670,3761,4516,4020,4186,4232,4069,3829,3808,3822,3731,3820,3899,3929,4032,4183,3920,3834,3664,3656,3732,3755,3803,4089,4253,4189,4042,3911,3856,3948,3804,3714,3955,3997,3935,3892,3908,3793,3486,4303,3490,3607,3753,3831,3878,4047,3851,3512,3308,3352,3334,3372,3394,3347,3382,3324,2999,2728,2625,2384,2159,1829,1811,1754,1514,1300,1264,1127,973,915,869,747,644,621,582,522,496,470,403,460,330,339,238,273,274,283,184,270,169,169]
[94,193,88,147,203,222,247,232,321,293,326,416,439,527,607,645,788,759,1031,1209,1413,1679,2090,2521,2806,2963,3079,3274,3927,3255,3301,3370,3596,4035,4208,4081,3841,3767,3560,3404,3294,3410,3603,3890,4226,4293,4126,3682,3780,3585,3419,3596,3790,4080,4257,4508,4318,4016,4223,3894,3739,3604,4056,4335,4727,5722,4677,4194,4009,3876,4000,3888,3973,4386,4569,4504,4448,4046,4072,3736,3818,3845,4307,4557,4686,4763,4269,4155,4088,3802,3753,3951,4099,4285,4444,4605,4174,4078,3783,3621,3660,3796,4934,4277,4422,4393,4245,3823,3784,3577,3575,3626,3914,3919,4050,3946,3801,3261,2923,2862,2389,2275,1792,1597,1574,1421,1273,1180,1017,972,800,893,685,601,540,613,462,520,488,462,345,279,292,306,254,219,214,188,202,154]
[98,92,184,166,187,239,196,282,273,356,441,454,455,521,692,684,754,989,1068,1286,1484,1887,2416,2745,3562,3883,3809,3852,3655,3234,3255,4012,3636,4078,4710,5054,4678,4403,3962,3661,3540,3659,3597,4180,4747,4976,4375,4077,3829,3647,3626,3493,3952,4369,5180,4930,4676,4543,4185,3973,3872,3890,4147,4694,5332,5350,5223,4560,5162,3979,4039,4064,4069,4695,5503,5256,4902,4618,4240,3899,4016,4003,4279,4820,5484,5336,5036,4530,4199,3891,3873,4037,4061,4489,5154,5459,4851,4588,4160,4001,3736,3909,4243,4562,5145,6011,4778,4220,3977,4019,3846,3926,3792,4314,4838,4416,3958,3457,3104,2894,2649,2285,2006,1799,1663,1414,1399,1127,1089,912,939,805,714,596,686,560,574,454,395,385,376,309,389,352,225,199,237,238,139,170]
[123,124,124,225,173,254,289,314,339,390,409,474,535,602,638,748,872,1049,1268,1230,1640,1895,2434,3243,3980,4509,4399,4659,4285,3635,3754,3671,3913,5680,5628,5785,5507,4970,4305,3903,3930,3783,3916,4565,5279,5333,5291,4752,4414,3847,3990,3967,4242,4754,5446,5454,5131,4891,4396,4235,3809,4198,4408,4844,5806,5650,5584,5180,4771,4054,4114,4908,4313,4999,5854,5751,5083,4869,4565,4088,4149,4344,4344,5221,5864,5734,5192,5034,4463,4260,4276,4228,4416,4884,6019,6152,5620,5256,4553,4267,4133,4159,4280,4925,5889,5907,5583,5065,5377,3951,3944,4054,4168,5107,5738,5506,4736,4271,3616,3060,2870,2485,2101,1941,1673,1475,1268,1261,1167,1016,896,889,778,727,738,614,588,376,386,417,445,335,249,329,250,309,252,186,193,157]
[139,186,159,280,230,285,268,379,342,373,474,609,627,787,853,890,1078,1226,1465,1771,2069,2826,4014,5800,5904,5800,5519,4634,4071,4075,3978,4426,5400,6401,6603,7661,5880,4957,4496,4187,4326,4425,5279,6153,6317,5910,5309,4819,4457,4478,4562,4366,5637,6467,6844,6420,5539,4819,4835,4569,4220,4798,5899,6946,6990,6654,6515,5701,4756,4638,4610,4896,7144,7130,6758,6112,6170,5109,4417,4634,4792,5053,6216,7363,6701,6641,5881,4942,4301,4680,4648,4817,6168,6942,7117,6857,5744,5081,4411,4426,4471,4967,5790,7194,6931,6924,6252,5200,4717,4905,5244,4990,6444,7270,6284,5485,4584,3681,3284,2826,2559,2219,1982,1788,1446,1388,1384,1101,1106,892,870,791,728,651,578,510,515,420,443,377,402,294,298,328,273,147,224,186,211,135]
[158,202,198,231,269,252,310,282,337,398,428,509,557,652,759,910,984,1041,1283,1420,1692,2194,2729,3995,5874,6427,6270,6306,4912,4221,4045,4026,4352,5020,6228,6629,6641,7267,5055,4706,4668,4403,4280,5355,5891,6375,6709,5841,5166,4531,4443,4618,4673,5877,6706,6772,6510,5854,5105,4717,4648,4647,4914,6014,7419,7049,6778,6509,5511,4817,4781,4542,4866,5890,6929,8385,6857,6092,5227,4803,4764,4852,5003,6269,7383,7372,7060,6113,5442,4776,4982,4689,4972,5912,7215,7310,7190,6623,5371,4842,4562,4638,5013,5611,7590,7667,7271,6499,5237,4592,4428,4372,5998,6287,7096,6953,6121,5241,4136,3525,3141,2513,2304,2046,1896,1659,1430,1249,1255,992,898,910,744,680,641,527,572,530,551,409,390,381,291,290,318,260,219,240,191,176]
[163,202,202,293,272,257,243,343,316,432,424,541,654,596,756,867,1148,1073,1296,1536,1761,2167,2388,3321,4393,5144,5599,5478,4107,3927,3912,3700,3935,4307,5109,5459,5803,5739,4805,4454,5393,4208,4133,4591,5131,5657,6088,5671,4995,4589,4553,4274,4419,4893,5776,6037,6069,5556,4870,4762,4675,4580,4605,5133,6282,6462,6434,6015,5297,4901,4722,4452,4645,5332,6108,6450,6676,5741,6345,4965,4442,4473,4946,5475,6104,6518,6438,6012,5140,4632,4605,4488,4462,5083,5672,6658,6409,5851,4986,4693,4479,4384,4542,5180,6262,6649,6544,5789,4973,4537,4317,4146,4213,4711,5934,6994,5797,4696,3817,3556,3103,2765,2240,2126,1899,1717,1494,1343,1247,1050,930,915,826,710,679,655,558,474,450,404,412,367,314,315,318,335,241,223,229,197]
[194,216,141,167,236,234,354,296,378,347,427,534,530,687,732,834,958,1165,1184,1571,1818,2005,2436,2718,3550,4346,4663,4291,3518,3634,3560,3323,3666,4014,4487,4931,5005,4660,4517,4141,4085,3867,4036,5064,4590,4847,5197,4885,4670,4449,4227,4230,4183,4420,4977,5017,5172,4953,4644,4640,4273,4192,4423,4558,4817,5380,5797,5047,4858,4628,4524,4194,4380,4704,4730,5315,5556,4946,4748,4597,4355,5035,4475,4804,5509,5690,5659,5010,4660,4717,4512,4328,4345,4656,5133,5646,5751,5121,4672,4530,4403,4284,4204,4673,4909,5481,5801,5028,4522,4530,4372,3904,3932,4188,4504,4991,4825,4361,4796,3548,3166,2887,2506,2202,1936,1746,1637,1355,1193,1148,1040,948,897,761,709,613,585,496,468,440,442,395,356,295,306,193,223,228,197,175]
[98,212,162,212,198,249,278,303,394,440,509,550,623,758,780,912,1102,1221,1421,1624,1772,2140,2387,2722,2930,3612,3985,3602,3452,3627,3651,3777,3778,3893,4140,4601,4494,4341,4176,4375,4219,4196,4052,4231,4482,4820,5888,4639,4440,4340,4420,4383,4289,4336,4735,4870,4803,4624,4536,4676,4528,4351,4291,4495,4947,5213,5113,4791,4698,4708,4454,4307,4511,4602,4899,4949,4962,4842,4668,4623,4383,4487,4498,5310,4991,5149,5124,4776,4823,4862,4317,4481,4425,4542,4832,5181,4979,4697,4489,4630,4494,4573,4506,4502,4775,5125,4977,4614,4619,4537,4289,4013,4075,4315,4590,4571,4347,3868,3792,3645,3167,3389,2491,2091,1913,1841,1422,1333,1255,1215,1066,962,771,824,658,595,722,488,477,452,367,338,304,358,281,233,311,265,207,214]
[173,184,245,213,191,267,317,338,375,454,484,559,730,657,748,934,1118,1192,1353,1551,1853,2260,2406,2613,3019,3649,3693,3301,3425,3789,3959,4092,3920,4038,4187,4481,4434,4471,4141,4510,4641,4326,4205,4292,4642,4634,4798,4739,4380,4637,5759,4568,4603,4324,4877,4938,4971,4548,4606,4726,4940,4533,4658,4458,5039,5294,5120,4910,4658,4833,5012,4848,4591,4790,4905,5247,4925,4727,4619,4905,4921,4838,4682,4536,5031,4996,5274,5707,5055,4990,5077,4771,4488,4790,5004,5328,4954,4693,4699,4957,4837,4709,4624,4627,4976,5209,4989,4677,4672,4657,4901,4557,4027,4181,4521,4562,4324,3924,3805,3700,3302,2867,2620,2390,2452,1843,1567,1432,1313,1166,1069,974,841,870,780,691,707,545,598,464,473,436,333,330,229,244,213,217,247,225]
[139,273,219,259,296,273,296,325,378,478,472,508,540,672,785,1144,1093,1235,1385,1734,2060,2284,2506,2805,3271,3778,3780,3465,3190,3802,4373,4218,3957,4110,4344,4958,4906,4449,4247,4512,4723,4752,4455,4373,4694,5189,4931,4626,4606,4626,4869,4989,5577,4487,5073,5415,5086,4672,4569,4638,5119,4959,4795,4810,5192,5492,5347,4761,4645,4714,5196,4834,4985,4862,5104,5430,5357,4855,4583,4960,5199,5130,4861,4885,5091,5676,5446,4783,4824,4872,6303,5116,4953,4893,5415,5189,5385,4984,4648,5147,5198,5043,4792,4950,5294,5264,5428,4869,4641,4911,5134,4645,4424,4448,4741,4761,4457,3884,3663,3718,3460,3117,2758,2566,2127,1750,1738,1741,1332,1170,1044,1063,891,860,772,725,665,633,482,496,442,381,336,382,323,268,284,272,307,230]
[189,224,179,203,238,273,309,395,407,418,479,601,566,749,852,1030,985,1167,1663,1729,2023,2475,2751,3158,3347,3811,3860,3832,3453,3765,4347,4298,4183,4517,4751,4989,4807,4426,4345,4452,4763,4832,4424,4724,5141,5465,4984,4862,4693,4532,4863,4770,4686,4912,5327,5478,6334,4755,4691,4914,5006,4927,4911,5066,5461,5743,5511,5109,4611,5066,4981,4833,4929,5000,5289,5776,5373,4813,4545,4856,5119,5032,4754,5037,5335,5653,5371,5285,4741,5054,5176,5195,5051,5886,5382,5503,5391,4824,4675,4887,5242,4918,5011,5133,5726,5533,5389,4776,4652,4702,4984,4768,4631,4563,4906,5000,4438,4026,3892,3749,3664,3150,2873,2615,2291,1941,1742,1577,1273,1260,1294,1075,1033,779,800,680,611,609,593,395,484,388,404,381,323,265,213,239,253,221]
[142,215,201,204,243,313,283,414,347,497,533,608,682,771,875,978,1250,1359,1530,1771,2202,3025,2949,3504,4034,4373,4111,4029,3607,3735,4260,4281,4324,4666,5399,5631,5346,4974,4800,4486,4458,4631,4461,5042,5854,6121,5650,5325,4888,4439,4689,4592,4727,5065,5805,6212,5942,5473,4769,5608,4802,4740,4889,5335,5617,5989,5589,5039,4749,4779,4920,4996,5138,5413,6058,6221,5655,5048,4847,4909,5001,4961,5119,5614,6095,6383,5800,5276,5033,5163,5092,5091,4968,5363,6203,6263,6940,5445,4878,4990,5131,5191,4964,5534,6408,6460,6017,5290,4738,4743,4816,4881,4613,5109,5503,5712,4771,4156,3701,3847,3454,3075,2650,2168,2166,1685,1756,1473,1355,1255,1156,1002,878,932,698,726,541,530,497,481,419,399,330,322,305,313,287,252,197,178]
[178,199,188,230,257,376,363,367,376,507,499,619,672,753,868,989,1062,1312,1515,1829,2103,2439,3206,3874,6361,5373,5585,4981,4383,4028,4230,4502,4670,5776,6418,6145,5910,5427,4780,4814,4831,4813,4869,5671,6720,6464,6011,5708,5329,5021,4742,5040,4883,5817,6840,7310,6554,6450,5448,4978,4844,5067,6238,5901,6793,6693,6495,5864,5329,5249,5094,5200,5354,6177,7159,7130,6649,6069,5506,5130,4925,5282,5292,6139,7085,6970,6659,5765,5441,5136,5006,5101,5342,5917,6459,6757,6563,5542,5348,6021,4972,5292,5573,6115,7240,6676,6354,5731,5039,4842,4979,4770,5164,5776,6664,6104,5272,4690,4078,3759,3196,3357,2695,2461,2352,2084,1733,1650,1454,1371,1140,1066,922,931,779,762,748,490,499,502,505,409,351,354,260,282,246,204,227,167]
[181,229,264,220,270,268,290,344,398,461,506,615,728,790,944,1047,1029,1327,1597,1851,2098,2590,3209,4555,6360,6529,6773,7724,4796,4339,4278,4657,5374,6653,7637,7062,7026,6328,5448,5076,4840,4907,5618,7078,7971,7135,6781,6096,5399,4906,5045,5036,5747,7067,7907,7840,7202,6975,5643,5235,5186,5146,5221,6324,8796,7751,6991,6266,5748,5323,5178,5388,5764,6722,8100,8165,7835,7042,6288,5450,5351,5215,5721,7106,8517,7973,7962,6947,5969,5524,5294,5532,5844,6945,7745,7829,7381,6482,5854,5557,5286,5301,7224,7477,8189,7808,6878,6214,5490,5038,4987,5024,5987,7556,7861,6988,6174,5027,4260,3793,3394,3042,2755,2400,2134,2023,1885,1769,1354,1481,1236,1130,957,840,859,738,660,655,550,623,502,354,392,355,361,245,227,268,227,203]
[217,302,253,314,267,380,386,449,459,485,545,654,774,777,972,1005,1198,1458,1685,1821,2058,2563,3051,4490,6165,6713,6684,6471,5139,4449,5413,4654,4873,6108,7302,7244,7401,6836,5707,5136,5314,5090,5278,6625,7622,7988,7732,6690,5511,5122,5337,5320,5314,6653,7585,8092,7583,7154,6030,5196,4996,5202,5015,6372,7186,7480,7211,6402,6703,5314,5526,5308,5855,7319,8139,8085,8065,6794,5753,5352,5392,5254,5861,7082,8220,8312,7665,6536,5894,5259,5445,5359,5746,6758,7818,7771,7469,6742,5781,5403,5292,5306,5817,7087,8467,9349,7036,6469,5558,5032,5004,5377,5848,7224,8057,7543,6638,5300,4506,3919,3461,3134,2743,2583,2247,2064,1972,1749,1404,1326,1220,1107,1024,945,844,783,609,643,540,530,446,423,524,326,334,340,284,245,281,229]
[231,249,269,266,244,291,367,469,437,524,588,588,791,746,994,1032,1208,1412,1561,1834,2040,2393,3063,3846,5084,5862,6023,5436,4477,4398,4196,4075,4352,6274,5939,6741,7038,6042,5301,4967,4660,4697,4906,6007,6566,6919,6906,6301,5333,5057,4828,4849,4864,5377,6022,6539,6566,6395,5576,5023,4640,5001,5054,5381,6094,6307,6356,6056,5282,5159,6082,4945,5148,6130,6985,6940,6963,6298,5719,5168,5023,5045,5235,5906,7047,7155,7027,6119,5689,5026,5159,5051,5342,6378,6901,7207,6609,6165,5544,5225,5005,5146,5539,6567,7139,7240,6884,6193,6322,4806,4926,4781,4992,6455,7082,6776,6106,5161,4253,4042,3427,3137,2751,2717,2265,2012,1969,1676,1590,1322,1359,1147,958,976,872,743,788,616,594,452,602,468,377,406,298,376,224,233,273,228]
[203,238,261,275,327,292,440,428,421,485,586,650,797,857,995,1001,1207,1365,1605,1868,2200,2361,2377,2922,3596,4581,4602,4502,3874,3753,3963,4058,4038,4161,5087,5574,5707,5651,4668,4979,4520,4525,4534,4894,6598,5647,5947,5427,4924,4740,4548,4709,4698,5253,5694,5829,5927,5579,5266,4765,4832,4850,4823,5229,5594,5752,5996,5552,5283,5014,4990,4849,5011,5385,5744,5933,6082,5627,5164,4944,4976,5726,4978,5266,5679,5848,6005,5573,5098,5363,4974,5076,5005,5137,5612,5904,5970,5651,5288,5136,4875,4723,4961,4996,5544,5902,5769,5385,4909,4700,4439,4321,4661,4780,5645,5566,5289,4427,4973,3765,3443,3199,2830,2443,2293,1981,1823,1681,1467,1393,1143,1082,1069,998,875,763,735,648,678,591,508,392,366,396,384,296,265,254,187,250]
[194,253,209,257,347,268,413,410,484,623,516,718,732,803,884,1131,1226,1427,1724,1982,2202,2351,2587,2930,3297,3886,4057,3875,3804,3849,3967,4172,4036,4376,4426,4705,4932,4789,4682,4638,4720,4630,4566,4575,4918,5330,5260,5826,4795,4971,4762,4599,4914,4974,4994,5476,5169,5086,4807,4779,4854,4850,4830,4927,5313,5419,5279,5226,5123,5254,4959,4889,5052,5297,5287,5284,5544,4947,5009,5131,5080,4978,4794,5164,6627,5454,5446,5190,5178,5037,4975,5012,5060,5203,5288,5564,5456,5299,5177,5183,4949,4820,4895,4854,5369,5529,5349,5144,5043,4988,4778,4748,4375,4600,4920,4845,4760,4363,3944,4149,3562,3804,2904,2524,2340,2015,1874,1659,1522,1331,1242,1072,924,1023,799,770,704,683,580,567,531,423,408,354,320,367,256,311,182,208]
[172,308,197,174,322,272,343,408,399,486,553,669,797,837,1049,1039,1269,1366,1696,1859,2144,2575,2688,2830,3479,3983,4012,3692,3799,4043,4379,4376,4226,4317,4579,4964,4778,4643,4428,4777,4909,4739,4333,4894,4789,5089,5407,5121,4907,4894,5898,4906,4811,5042,5212,5277,5266,4891,4901,5168,5060,4767,4816,4996,5250,5478,5321,5124,5084,5372,5285,5398,4875,4948,5341,5359,5520,5206,4954,5111,5185,5214,4983,5046,5356,5529,5442,6266,5168,5194,5123,4998,4794,5142,5358,5387,5521,5104,4977,5284,5453,4958,4948,5077,5377,5360,5378,5163,4990,5195,5366,5063,4640,4443,4803,5001,4739,4338,3892,3992,3814,3253,3013,2666,2836,1978,1816,1757,1399,1256,1244,1196,963,1001,878,819,755,695,664,472,524,417,460,380,335,329,299,324,193,197]
[245,205,281,310,323,311,304,476,507,492,552,625,728,848,940,1312,1283,1375,1650,1921,2296,2530,2672,2909,3385,4028,4133,3686,3717,3939,4507,4601,4439,4222,4553,5333,4944,4488,4520,4865,4992,5167,4890,4788,5171,5614,5199,5446,4541,5014,5159,5148,5621,5230,5433,5492,5540,5274,5025,5254,5764,5086,5158,5107,5429,5661,5217,5133,5204,5455,5560,5585,5006,5098,5576,5736,5630,5121,4853,5492,5728,5157,5323,4932,5714,5775,5612,5302,5016,5324,6717,5264,5185,5212,5743,5930,5691,5159,5218,5398,5954,5293,5069,5261,5714,5893,5471,5112,5136,5370,5258,4937,4756,4700,5104,5178,4654,4301,4098,3967,3550,3262,2938,2550,2406,2218,1936,2052,1419,1344,1217,1214,1056,1118,950,867,783,654,662,587,512,412,421,360,342,322,263,241,245,226]
[261,243,245,356,338,342,418,439,540,545,542,709,651,864,1033,1036,1321,1632,1805,2298,2392,2735,2839,3404,3682,4250,4173,3782,3718,3995,4404,4615,4402,4678,5201,5354,4952,4703,4573,4850,5224,5143,4730,5317,5237,5657,5444,4933,4859,4913,5179,4995,5163,5511,6261,6528,5527,5489,4981,5335,5320,5273,5549,5439,5702,6025,5479,5274,5055,5322,5429,5265,5333,5441,5857,5809,5604,5140,5357,5070,5292,5365,5384,5655,5792,6047,5732,5132,5131,5603,5252,5273,6182,5525,5973,5679,5537,5231,5210,5343,5578,5338,5420,5604,5966,6096,5521,5245,5050,5236,5376,5107,4979,5107,5487,5502,4860,4380,4176,4092,3861,3625,2995,2702,2578,1842,1987,1734,1658,1625,1284,1181,935,917,885,797,769,728,614,615,487,445,375,417,393,346,334,283,225,232]
[265,266,263,248,297,310,405,394,508,530,682,680,796,859,1047,1090,1321,1513,1709,1968,2955,2680,3171,3793,4388,4650,4558,4118,4019,4053,4232,4576,4687,5212,5698,5853,5304,4985,4921,4818,4975,5020,5041,5516,6194,6169,5784,5560,5225,4971,5015,4939,5418,5717,6599,6633,6296,6916,5390,5210,5369,5221,5412,5861,6684,6253,5887,5579,5544,5344,5323,5430,5560,5956,6293,6103,5878,5498,5190,5351,5302,5429,5601,5844,6526,6541,6106,5909,5422,5285,5207,5449,5154,5768,6217,7868,5966,5561,5379,5247,5436,5261,5667,6034,6634,6337,5918,5665,5324,5182,5188,5163,4952,5484,5884,5721,5283,4431,4240,4222,3724,3265,2962,2646,2589,2027,1992,1719,1564,1405,1336,1200,1103,995,859,740,730,632,601,574,424,457,446,363,377,375,353,237,208,239]
[269,257,262,339,350,413,426,487,505,570,709,729,799,984,1030,1222,1392,1456,1736,2081,2474,2921,3487,5676,5745,5754,5723,4868,4170,4340,4260,4704,5052,6305,6575,6170,6285,5554,5141,5031,5041,5031,5359,6281,6947,6893,6472,6436,5379,5091,5109,5422,5748,6373,7361,7343,6846,6428,5666,5294,5257,6697,5683,6524,7490,7204,6809,6476,5887,5364,5552,5513,5837,6789,7788,7221,6824,5940,5531,5195,5302,5451,5945,6941,7452,7025,6517,6147,5607,5253,5505,5524,5910,6509,7075,6652,6678,6090,6593,5106,5432,5880,5987,6980,7716,7050,6660,6069,5587,4875,5153,5305,5433,6749,7269,6777,6348,5370,4618,4192,3863,3585,2916,2533,2493,2193,1830,1749,1435,1437,1240,1113,1037,983,940,875,710,695,611,562,505,414,390,401,369,330,330,217,270,167]
[181,299,287,325,395,305,455,428,494,575,668,706,856,1016,1084,1109,1431,1546,1722,2035,2356,2913,3715,5586,6963,7198,8524,6351,5092,4598,4702,4782,5655,7177,7466,7023,6741,6043,5505,5109,5204,5266,5688,6853,7675,7643,7385,6333,5517,5348,5371,5439,5907,7190,8340,8194,8658,6821,6122,5491,5549,5763,6039,7639,8559,8280,7479,6691,5936,5526,5518,5637,6262,7976,9022,7866,7758,7143,5742,5280,6730,5964,6651,8055,8469,8339,7785,6887,5859,5519,5681,5745,6536,8076,8618,7898,7523,6549,5917,5458,5593,5983,6560,8259,8630,8230,7250,6369,5778,5304,5378,5779,6236,7694,8242,7539,6864,7198,4985,4192,3831,3513,2851,2745,2459,2212,1975,1692,1616,1424,1320,1239,919,1013,918,844,612,606,689,500,443,440,381,371,293,355,364,277,261,285]
[280,238,239,243,339,436,361,462,560,582,582,661,753,1041,1032,1144,1471,1645,1891,2022,2299,2808,3618,5113,6564,7048,7192,6894,5126,4610,4611,4864,5136,6796,7150,7181,7172,6357,5680,5482,5306,5388,5543,6691,7650,7623,8974,6416,5739,5176,5507,5674,5876,7095,8342,8348,7862,6821,5849,5568,5783,5522,5983,7221,8354,7968,7845,7130,6105,5654,5416,5638,6097,7553,8584,8259,7790,6920,5994,5458,5607,5403,6088,9164,8493,8078,7833,7144,6262,5731,5714,5570,6171,7946,8241,7861,7792,6935,6054,5709,5810,5625,6534,8382,9266,8702,7817,6913,6009,5612,5519,5503,5849,7364,8133,7846,7369,6236,4960,4593,3978,4308,3108,2877,2450,2150,2056,1835,1578,1385,1348,1126,1068,981,889,765,845,637,650,563,487,510,384,393,377,323,289,291,223,204]
[237,287,258,309,274,372,437,461,531,574,616,638,1056,919,1086,1265,1377,1662,1827,1993,2194,2597,3020,4174,5213,5763,6251,5547,4580,4203,4257,4347,4727,5457,5687,6141,6693,5954,5295,4889,4756,4879,4796,5548,6424,6684,6869,6199,5198,6065,5090,5094,5224,6060,6938,7028,6817,6090,5350,5101,4977,5066,5346,6391,6818,7109,6780,6365,5710,5629,5161,5349,5719,6609,7102,6879,6980,6316,5531,5299,4937,5279,5686,6459,6965,7151,8251,6295,5797,5549,5324,5214,5742,6304,6841,6863,6853,6433,5469,5270,5187,5315,5622,6714,7330,7301,7433,6201,5464,5206,5223,4897,5220,5772,6604,6835,6613,5647,4578,4234,3896,3472,2970,3184,2454,2024,2054,1732,1559,1438,1253,1113,1104,920,841,710,644,590,677,523,399,498,482,380,372,315,269,334,262,211]
[244,206,259,239,354,326,411,510,554,534,626,721,741,930,1304,1282,1400,1530,1800,2118,2363,2521,2717,3558,4080,4974,5140,4450,3949,4286,4063,4187,4262,4665,5242,5591,5439,5052,4806,4888,4577,4856,4749,4973,5295,5597,5548,5171,5191,5218,4759,4898,5958,5174,5825,5798,6059,5797,5258,5219,5066,4994,5064,5321,5847,6019,6056,5513,5550,5344,5332,5111,5267,5731,6177,6214,5965,5583,5511,5149,5020,5169,5301,5722,6328,6217,6117,6023,5694,6346,5133,5012,5343,5469,6222,6390,6187,5709,5478,5192,5111,5130,5177,5479,6186,6526,6323,5714,5578,5092,4865,4897,4663,5102,5370,5724,5461,4966,4397,4266,3915,3587,3243,2859,2400,2335,2283,1878,1589,1467,1292,1200,1078,1010,839,795,633,598,656,567,501,494,430,415,352,340,284,259,187,247]
[250,304,260,289,324,295,311,425,489,602,512,775,847,800,1110,1227,1207,1749,1633,2068,2300,2523,2731,3070,3510,4077,4025,3991,3953,4116,4498,4363,4513,4537,4709,4937,4888,4838,4903,4945,4940,4578,4889,4983,5150,5252,5437,5298,5065,5108,5069,5168,4967,5105,5442,6773,5406,5456,5058,5247,5144,5257,5369,5514,5757,6024,5721,5358,5438,5210,5049,5222,5102,5576,5741,5869,5712,5255,5220,4964,5020,5296,5364,5502,6010,5689,5772,5527,5313,5284,5319,5283,5096,6774,5441,5657,5709,5489,5452,5329,5042,5084,5220,5488,5710,5880,5496,5473,5253,5209,4915,4833,4936,4974,5282,5363,4951,4523,4465,4320,3889,3428,3159,2777,2404,2255,2022,1750,1546,1324,1636,1139,1142,1020,895,770,825,703,623,590,490,496,412,343,291,360,334,198,206,218]
[276,225,290,264,311,342,384,449,499,567,693,735,909,999,1117,1175,1333,1450,1685,1995,2380,3130,2788,3001,3727,4083,4081,3797,3855,4541,4478,4183,4377,4636,4840,5052,4933,4729,4811,4935,4863,4932,4836,4997,5132,5465,5351,5310,4936,5022,5201,5119,5061,5309,5523,5668,5456,5541,5105,6257,5486,5278,4965,5209,5596,6008,5648,5307,5355,5478,5522,5294,5223,5342,5689,5938,5551,5308,5188,5506,5320,5374,5237,5271,5737,5913,5732,5317,5370,5435,5720,5203,5331,5353,5680,5786,6710,5400,5430,5485,5429,5134,5162,5430,5730,5743,5523,5324,5180,5455,5393,4884,4703,4996,5211,5138,4938,4279,4414,3997,3732,3301,3012,2814,2356,2184,1977,1638,1591,1337,1296,1129,980,1200,893,837,668,723,537,536,496,526,486,338,346,288,268,261,227,187]
[212,286,294,277,298,348,441,467,583,560,648,712,892,912,1005,1065,1392,1447,1722,1958,2493,2713,2767,3155,3714,5134,4259,3876,3923,4380,4863,4669,4351,4817,5080,5428,4994,4831,4775,5044,5529,4940,5027,4999,5390,5894,5592,5141,5094,4955,5322,5203,4978,5309,5774,5780,5753,5035,5233,5217,5618,5399,6589,5402,5900,5855,5814,5383,5374,5749,5775,5391,5387,5331,5923,5842,5782,5352,5222,5465,5889,5574,5364,5459,5843,6112,5748,5363,5383,5528,5784,5483,5326,5453,5723,5968,5655,5329,5217,6609,5587,5255,5186,5427,5617,6030,5712,5371,5325,5510,5226,5062,4946,4950,5379,5155,4715,4302,4144,4306,3766,3233,3033,2683,2234,2127,1968,1831,1624,1325,1301,1232,1071,1065,916,836,968,625,569,619,477,522,442,382,318,269,228,205,298,254]
[276,320,262,329,359,327,406,490,536,583,735,675,747,886,1052,1166,1352,1453,1785,2073,2444,2733,3086,3511,3755,4338,4270,3755,4860,4218,4760,4602,4647,5029,5330,5299,5020,4999,4662,4847,5196,5050,5044,5237,5736,5767,5456,5195,4747,5151,5261,5110,5326,5342,5933,5963,5596,5319,5126,5202,5455,5346,5436,5536,5678,7114,5643,5965,4855,5657,5616,5563,5456,5655,6082,6147,5685,5637,5272,5577,5526,5227,5560,5848,6323,6040,5879,5628,5378,5560,5688,5616,5686,5828,6128,6236,5878,5299,5471,5449,5643,5287,6622,6028,6111,6236,5683,5743,5320,5289,5465,5195,4956,5457,5519,5427,4889,4412,4298,4579,3925,3413,2926,2784,2476,2162,1988,1797,1558,1443,1296,1200,1102,909,941,896,711,703,604,585,642,470,436,393,353,357,325,276,272,224]
[205,299,335,352,386,381,446,538,455,569,718,816,806,965,1070,1125,1445,1497,1822,2073,2591,3033,3490,3719,4576,4996,4571,4368,4076,4103,5186,4752,4906,5525,5813,5892,5482,5313,4840,4871,4859,4990,5303,5752,5962,6172,5597,5381,4946,4938,4978,4997,5434,5772,6349,6496,5981,5473,5153,5902,5200,5601,5826,5858,6674,6512,6061,5572,6504,5454,5480,5657,5663,6515,6930,6903,6102,5700,5595,5285,5488,5522,5997,6836,6777,6654,6259,5860,5651,5585,5657,5509,5876,6264,6846,6762,6037,5533,5353,5470,5464,5481,5799,6148,6698,7595,6012,5727,5438,5401,5496,5256,5288,5880,6119,5753,5179,4523,4578,4313,3736,3638,2999,2667,2334,2190,1930,1691,1568,1451,1307,1198,1018,985,875,870,797,669,643,588,487,515,488,385,365,311,283,326,242,248]
[245,311,291,375,369,420,422,524,517,593,636,877,871,990,1129,1215,1391,1527,1941,2127,2568,3052,3768,4989,5822,5923,5778,5537,4438,4472,4610,4717,5250,7827,6865,6912,6424,5776,5425,5374,5276,5237,5803,6635,7160,7381,6755,6187,5654,5089,5510,5555,5810,6698,7492,7130,6753,6159,5796,5386,5364,5644,5752,6854,7449,7256,6617,6335,5697,5524,5566,6814,6111,7258,7893,7432,7128,6318,5762,5781,5708,6035,6351,7666,8194,7632,7338,6864,6116,5619,5603,5966,6328,7316,7950,7283,7158,6179,5962,5579,5423,5995,6053,7217,7734,7243,6826,6323,6928,5542,5595,5583,5865,6943,7404,6555,5624,5072,4630,4283,3963,3625,3025,2843,2538,2261,2047,1788,1642,1499,1459,1110,1064,954,944,808,682,632,540,614,527,420,369,434,334,455,289,277,262,271]
[311,220,249,371,367,383,422,472,553,594,720,793,874,884,1075,1198,1393,1617,1869,2180,2549,3073,4148,5952,7504,6881,7308,6209,5053,4664,4793,5106,5537,7031,8542,8547,9263,6300,5588,5284,5394,5249,5667,7115,8161,8291,7852,6659,5898,5196,5251,5690,5821,7391,8553,8228,7627,6884,5908,5579,5490,5593,6199,7464,8391,8115,7405,6948,5832,5561,5419,5785,6562,7778,10723,8692,7761,7146,6034,5792,5893,6054,7067,8714,9544,8481,8410,7472,6476,5945,5850,6284,6724,8254,8968,8417,7935,6992,6327,5759,5771,6027,6370,7708,8387,8333,7619,6714,6064,5688,5515,6811,6582,8381,8425,7861,6673,5595,4653,4631,3846,3708,3114,2982,2561,2246,2026,1907,1692,1572,1261,1316,1065,951,870,771,782,662,613,510,497,469,413,445,323,393,287,238,300,222]
[250,250,352,289,306,424,513,560,522,594,789,798,912,944,1121,1229,1426,1680,1843,2127,2395,2947,3922,5933,7132,7006,7418,6755,5227,5196,4945,5128,5470,7110,8065,8018,7851,6902,5637,6617,5579,5345,5905,7261,7878,7484,7657,7003,5912,5500,5503,5542,6388,7561,8179,7938,7607,6753,5971,5545,5662,5689,6077,7451,8481,7996,7645,7082,6178,5826,5476,5939,6445,8131,8935,8383,9658,7185,6435,6014,5723,6277,7043,8847,9360,8913,8532,7589,6453,5973,6086,6000,6803,8285,8924,8441,8204,7393,6035,5929,6036,5963,6607,8082,8570,8466,7676,6961,6129,5797,5665,5686,6561,7991,10395,7921,6753,5603,4968,4240,3978,3349,3183,2798,2270,2376,2131,1992,1708,1600,1353,1296,1087,1013,953,837,809,738,659,512,541,517,459,426,379,304,263,300,257,212]
[188,305,264,297,389,501,411,566,546,568,699,816,939,1021,1045,1184,1378,1771,1846,2095,2492,2737,3435,4612,5623,6102,6401,5683,4540,4518,4553,4767,4893,5940,6585,6767,6873,6132,5617,5211,4915,5250,6532,6113,6463,6727,6931,6073,5680,5313,5134,5171,5818,6394,7151,7089,6748,6216,5657,5362,5467,5438,5651,6603,6869,6971,6800,6332,5614,5580,5452,5378,5869,6860,7589,7498,7705,6796,6006,6249,5651,5510,6070,7247,7853,8044,7491,6975,6097,5800,5590,5661,6066,6662,7583,7500,7728,6697,5983,5689,5702,5455,5911,6711,7410,7374,7059,6863,5790,5379,5431,5161,5352,6323,7335,7430,6449,6719,4879,4163,4000,3488,3126,2989,2430,2247,2229,1941,1739,1361,1460,1294,1105,952,896,806,786,672,575,632,487,501,429,360,392,379,324,338,264,173]
[231,276,344,398,410,536,465,576,642,650,750,863,1088,1013,1190,1437,1960,1868,2165,2393,2620,2943,3360,4563,5013,5268,4690,4196,4236,4640,4013,4556,5068,5390,5610,5608,5268,5173,4875,4789,5072,4871,5416,6939,5836,6003,5240,5153,4975,4759,5084,5214,5527,5893,6218,5891,5763,5463,5000,5292,5402,5325,5892,5988,6095,6116,5758,5629,5400,5190,5412,5501,5958,6340,6388,6474,5745,5748,5430,5320,6540,5654,6363,6891,6882,6693,6259,5768,5457,5303,5164,5453,5923,6506,6661,6244,6030,5488,5597,5071,5325,5526,5879,6427,6540,6244,5632,5441,5140,5111,4854,5116,5512,5688,5742,5303,4665,5337,3955,3777,3555,3052,2717,2386,2136,1867,1751,1669,1481,1328,1192,1106,1043,896,887,719,599,568,556,574,451,413,433,344,293,355,298,280,182,213]
[327,296,286,335,303,361,446,479,626,671,713,779,864,938,967,1352,1360,1658,1775,2084,2355,2681,2763,3151,3679,4146,4643,4060,4078,4192,4522,4322,4639,4835,5219,5106,5337,4940,4904,5047,4837,4862,4922,5221,5310,6495,5265,5270,5121,5176,5106,5085,5078,5301,5619,5870,5706,5626,5271,5419,5323,5187,5261,5677,5619,5885,5873,5552,5495,5569,5525,5517,5410,5890,5957,6212,6038,5586,5646,5603,5630,5565,5497,6864,6230,6554,5981,5804,5762,5557,5473,5593,5379,5812,6247,6104,5678,5711,5794,5649,5422,5516,5332,5732,5974,6081,5679,5709,5629,5322,5543,5034,5176,4899,5541,5596,5343,4574,4428,4519,4621,3545,3196,2857,2443,2144,2112,1798,1615,1517,1355,1248,1116,963,1039,871,793,684,640,619,564,481,473,426,414,329,353,253,223,266]
[207,280,281,302,322,406,425,476,564,520,732,912,805,900,1073,1181,1431,1629,1761,2094,2469,2803,2750,3079,3583,3982,4106,3713,3776,4241,4503,4580,4604,4757,5017,5288,5129,5087,4554,4935,5101,5032,5059,5003,5467,5687,5630,5126,6053,5219,5522,5249,5339,5289,5696,5840,5645,5442,5056,5394,5678,5542,5335,5482,5917,5870,5930,5518,5563,5725,5686,5496,5361,5683,5705,6190,5997,5736,5532,5739,5900,5438,5334,5706,5744,6175,7053,5883,5592,5913,5971,5382,5518,5981,5960,6154,6030,5619,5550,5895,5630,5664,5623,5698,5957,6172,5984,5589,5359,5643,5615,5297,5077,5131,5469,5618,4949,4624,4499,4478,3995,3549,3104,3421,2516,2284,1970,1767,1595,1449,1282,1183,1117,1020,950,843,834,693,663,609,595,528,444,423,443,342,318,235,299,280]
[249,281,240,386,353,390,438,469,562,613,687,671,844,971,1215,1160,1407,1585,1831,1993,2397,2674,2720,3070,3452,4276,4303,3797,3560,4025,4726,4821,4513,4657,5100,5212,5182,4739,4603,5013,5198,5019,4864,5035,5509,5956,5728,5338,5190,5238,5662,6438,5274,5356,5517,6004,5816,5256,5199,5395,5641,5375,5273,5428,5807,5870,5860,5510,5358,5422,5576,5505,5166,5521,5733,6130,5844,5622,5208,5778,5971,5643,5522,5572,5880,6523,6105,5720,6659,5984,6023,5997,5443,5450,6089,6112,5820,5688,5474,5534,5848,5599,5461,5514,6096,6292,6360,5546,5378,5802,5673,5535,4961,5070,5525,5552,5306,4570,4500,4461,4101,3514,3066,2912,2494,2177,2277,1852,1580,1517,1217,1195,1173,1075,993,921,817,626,637,532,538,552,415,349,298,313,307,261,252,212]
[236,264,232,324,403,365,419,499,482,513,576,690,812,969,1071,1192,1309,1806,1808,2082,2474,2860,2899,3342,3595,4100,4028,3836,3813,3985,4531,4473,4316,4874,5182,5455,5041,4511,4662,4880,5058,5337,4845,5336,5602,6150,5528,5253,5003,5329,5161,5313,5360,5660,7154,6157,5728,5305,5360,5296,5493,5324,5574,5824,6103,6186,5978,5467,5185,5380,5524,5740,5395,5677,6061,6182,5807,5399,5417,5546,5591,5533,5316,5910,6228,6404,5935,5664,5530,5654,5769,6776,5818,5914,6507,6402,5979,5593,5482,5728,5674,5534,5865,5688,6276,6667,6010,5778,5405,5498,5780,5527,5135,5750,6054,6075,5433,4645,4596,4576,4329,3632,3232,2905,2472,2240,2097,1736,1573,1761,1341,1126,1151,1035,878,848,690,664,703,621,535,486,439,352,387,361,284,307,209,210]
[226,265,261,329,429,393,406,498,495,640,751,748,901,976,1148,1371,1472,1651,1962,2222,3211,3014,3445,3995,4577,4634,4662,4082,4012,4257,4316,4588,4752,5385,6048,5697,5522,5139,4867,5002,5178,5157,5511,5869,6305,6330,5971,5624,5188,5273,5533,5352,5695,6157,6771,6525,6368,6829,5406,5430,5385,5689,5650,6270,6974,6391,6210,5703,5426,5542,5522,5737,5963,6491,6942,6706,6338,5923,5725,5699,5641,5627,5888,6397,6853,6935,6568,5936,5659,5740,5735,5903,6028,6533,8396,6803,6318,6085,5599,5787,5753,5757,6133,6339,6920,6830,6277,6091,5601,5475,5430,5647,5692,6245,6626,6288,5415,4952,4801,4533,3894,3675,3119,2758,2492,2388,2012,1801,1617,1493,1323,1285,1344,1017,905,929,811,771,586,628,569,463,344,400,381,321,363,225,308,275]
[247,317,304,343,501,472,460,507,537,672,654,723,958,951,1142,1209,1576,1705,1838,2503,2570,3087,3675,4446,5500,5540,5148,4602,4391,4169,4594,4697,5154,6093,6911,6541,6417,5576,5408,5022,5310,5429,6831,6772,7130,6830,6454,6235,5731,5531,5548,5615,5973,6815,7280,7103,6798,6510,5722,5585,5562,5740,6085,6805,7742,7303,6917,6531,5855,5704,5712,5943,6139,7372,7808,7301,6845,6528,5866,6666,6109,6035,6048,7068,7655,7629,7474,6888,6058,5768,5898,5857,6370,7344,7809,7319,6948,6729,5967,5857,6048,5919,6402,7014,7590,7622,6959,6289,5952,5748,5506,6000,6195,7381,7720,7152,7551,5615,5136,4438,4146,3774,2919,2757,2587,2378,2018,1947,1684,1535,1474,1243,1174,1077,948,742,819,726,709,599,494,439,423,408,349,336,260,239,234,281]
[219,223,320,357,468,426,444,594,602,661,776,848,857,1028,1131,1288,1465,1788,1904,2319,2545,3025,4393,6150,7083,6687,6652,6094,5141,4722,4952,4857,5910,7428,8352,7754,7210,6597,5771,5420,5306,5582,6301,7717,10182,7816,7164,6810,5831,5643,5835,5744,6866,8238,8739,8069,7648,6790,6225,5723,5790,5903,6337,7651,8637,8095,7297,7051,6088,5760,5759,5920,7094,8119,9057,8453,8027,7423,6513,5917,5867,6134,8169,8284,8827,8434,7994,7488,6293,6059,6110,6306,7014,8524,8967,8633,7613,7100,6342,6313,6084,6397,6917,8131,8873,8659,7528,7096,6218,5966,5820,6285,6670,8640,9260,7841,6969,6200,5487,5617,4235,3563,3438,3005,2568,2296,1992,1856,1693,1504,1282,1288,1090,982,870,824,696,708,599,585,511,441,346,371,404,308,324,335,263,190]
[262,258,273,366,398,389,444,456,583,702,867,843,935,1094,1118,1310,1438,1718,1844,2018,2589,3207,3787,6144,6675,7131,7036,6480,5266,5077,4911,4930,5898,7329,7920,7673,7443,6711,5685,5628,5410,5423,6161,7707,8474,7792,7426,8003,5845,5727,5758,5946,6227,8024,8607,8350,7559,7016,6155,6108,5925,5855,6331,7487,8061,8125,7450,6713,6635,5949,5931,6043,6544,7982,8909,8421,8092,7317,6558,5975,5971,5891,6289,8011,8716,10284,8014,7562,6373,6116,6234,6011,6998,8736,9466,8548,8011,6944,6294,6222,5991,6207,6928,8269,8868,8546,7881,7087,6354,5991,5819,5942,7251,8911,9294,7710,7094,6379,5277,4612,4270,3591,3819,2922,2460,2298,2093,2000,1727,1464,1384,1234,1133,1068,1019,883,799,732,639,637,531,486,439,400,419,300,289,238,216,270]
[291,353,347,384,312,454,489,519,535,587,752,828,923,1230,1218,1357,1533,1808,1831,2161,2467,2734,3377,4404,5086,5537,6075,5584,4841,4279,4576,4679,5125,5919,6477,6622,6375,6092,5391,5123,5217,5248,5599,6552,7218,6853,6622,6165,5880,5635,6557,5892,5931,6920,7438,7333,7144,6391,5783,5664,5455,5705,5835,6953,7247,6870,6894,6566,6225,5899,5607,5757,6295,6901,7403,7673,7184,6767,6079,5613,5691,5842,5983,6662,7554,7381,7245,7984,6139,5973,5639,5723,6456,7005,7974,7723,7246,6865,6086,5591,5883,5646,6359,6986,7709,7753,6960,6411,6182,5471,5574,5660,6097,7296,7755,7270,6682,5813,4866,4529,4077,3729,3253,2937,2733,2792,2186,1749,1652,1547,1338,1277,1136,1028,891,881,859,723,621,740,564,532,465,361,348,385,368,312,289,235]
[272,265,394,341,344,414,568,443,589,582,742,776,971,998,1216,1252,1823,1795,1972,2321,2450,2665,3013,3374,4185,4606,4893,4510,4104,4108,4138,4316,4608,4978,5200,5253,5374,5310,5043,5173,4905,4862,5095,5423,5755,5732,5963,5651,5458,5401,5240,5206,5232,6865,6188,6409,6377,5961,5558,5728,5382,5512,5735,5835,6422,6240,6520,5872,5635,5770,5132,5435,5817,6020,6629,6769,6307,5968,5708,5521,5425,5604,5633,5915,6442,6644,6262,5934,5748,5448,6586,5668,5689,6103,6542,6422,6228,6076,5852,5574,5643,5404,5789,5779,6226,6360,6323,5871,5485,5397,5290,5144,5045,5342,5756,5963,5545,4925,4653,4232,4128,3626,3210,2776,2712,2480,1945,1813,2092,1476,1411,1311,1133,1044,878,922,860,624,629,631,612,458,437,397,401,336,297,333,257,239]
[296,265,324,352,341,422,520,493,590,664,661,805,889,1028,1135,1335,1523,1728,1898,2597,2431,2768,2841,3349,3700,4309,4034,3912,3961,4189,4509,4279,4428,4765,4948,5004,4979,4906,4824,4875,4908,5121,5351,5272,5656,5664,5516,5532,5500,5272,5188,5366,5409,5758,5888,6163,7249,5493,5551,5807,5832,5523,6219,5728,5941,6091,5949,5597,6037,5804,5575,5534,5758,5968,6179,6142,5843,5736,5790,5875,5631,5588,5564,5885,6299,6258,6148,5925,5913,5690,5431,5774,5741,7284,6267,6375,6019,5754,5779,5762,5627,5361,5727,5933,6061,6143,5948,5535,5680,5573,5447,5402,5264,5361,5533,5648,5070,4769,4663,4246,3834,3472,3124,2918,2593,2343,2225,1819,1638,1449,1301,1511,1115,1109,945,842,780,741,745,582,601,510,472,340,342,304,238,271,297,209]
[264,309,259,395,436,342,437,546,528,625,711,781,825,1071,1212,1236,1409,1693,1958,2062,2421,2617,3298,3132,3599,4110,4205,3859,4082,4585,4749,4717,4566,4795,4949,5132,5034,4682,4929,5134,5093,5151,5061,5199,5611,5692,5412,5171,5298,5307,5647,5490,5453,5440,5916,5947,5983,5809,5334,6837,5763,5549,5424,5918,6040,6419,5736,5658,5741,5856,5888,5734,5641,5815,6001,6133,5798,5717,5595,6000,5821,5545,5574,5899,6189,6253,5925,5645,5619,5847,5923,5774,5511,5666,6157,6055,6924,5787,5702,5850,6032,5482,5494,6030,6326,6046,6028,5416,5548,5871,5647,5253,5216,5299,5651,5600,5091,4451,4407,4318,3779,3604,3138,2827,2658,2326,2054,1892,1769,1439,1460,1255,1090,992,1141,904,816,725,627,599,516,507,444,469,356,264,285,296,336,260]
[245,325,283,394,351,432,452,537,553,686,626,783,988,1143,1151,1141,1401,1754,1978,2473,2682,2677,2933,3362,3987,5149,3959,3529,3994,4614,4819,4712,4748,4853,5130,5383,5000,4540,4607,5324,5344,5041,4987,5273,5840,5991,5536,4998,5263,5355,5588,5400,5342,5851,6091,6308,5781,5454,5461,5687,5990,5746,6785,5936,6465,6300,5780,5592,5569,6087,6058,5948,5587,5845,6295,6370,5944,5608,5645,6097,5971,5966,5659,6152,6180,6480,6021,5556,5945,6085,6010,5864,5599,5910,6210,6362,5756,5487,5613,7398,5924,5696,5664,5922,6278,5946,5775,5475,5653,6100,5433,5160,5251,5556,5872,5418,4871,4439,4559,4105,3612,3408,2886,2771,2411,2104,1926,1787,1590,1452,1359,1259,1149,953,976,898,904,822,678,596,556,501,443,430,391,321,278,294,277,234]
[264,345,310,368,368,431,407,541,581,733,743,806,931,1057,1288,1320,1379,1706,1874,2320,2738,2949,3296,3416,4016,4127,4061,3747,4616,4205,4734,4552,4686,4982,5551,5365,4865,4839,4800,5041,5292,5357,5215,5631,5880,6051,5478,5537,5161,5393,5750,5451,5495,5986,6438,6430,6017,5716,5482,5808,5946,5604,6056,6324,6606,7793,6200,5869,5731,5713,5870,5636,5958,6230,6553,6418,5970,5744,5490,5783,6066,5791,6054,6236,6542,6453,6275,5849,5841,5858,5877,5718,5567,5982,6466,6333,5997,5658,5612,5900,5821,5677,6832,6125,6758,6135,5704,5611,5350,5744,5524,5479,5318,5757,5861,5277,4842,4527,4516,4252,3860,3368,3211,2717,2400,2225,2005,1887,1594,1481,1487,1308,1149,934,1008,871,844,707,661,673,664,495,476,349,332,319,331,297,299,266]
[309,331,362,370,457,555,489,583,624,741,742,894,1093,1133,1233,1287,1618,1804,1980,2397,2769,3208,3556,4032,4606,4599,4476,4169,4152,4289,4377,5666,5096,5537,5951,5806,5563,4978,5040,5080,5072,5210,5508,6169,6697,6466,6025,5676,5433,5440,5485,5695,5706,6392,7007,6535,6178,5949,5642,5700,5871,5778,5978,6515,6869,6794,6659,6147,7023,5987,5825,5995,6235,6695,7065,6860,6278,5953,5650,5825,5980,5746,6262,6797,7216,6800,6463,6030,5787,5815,5998,5800,6167,6572,7101,6617,6373,6125,5759,5785,5883,5759,5798,6656,6626,6278,7268,5944,5521,5759,5595,5360,5700,6262,6689,6001,5106,4778,4559,4067,3909,3545,3073,2658,2549,2166,2013,1934,1710,1386,1447,1179,1110,1067,837,809,771,730,700,474,511,523,504,519,339,333,364,290,277,238]
[312,340,362,391,452,387,508,572,691,796,788,811,948,1087,1180,1378,1625,1835,2034,2380,2782,3253,3989,5148,5733,6448,5519,4930,4672,4303,4676,4905,5665,6636,7165,6896,6687,6053,5412,5393,5373,5634,5916,7077,7547,7320,6816,6480,6227,5860,5695,6058,6383,7708,8352,7808,7134,6866,6011,5861,5872,6174,6784,7687,8112,7712,7531,6982,6135,5724,5795,6123,6503,7860,8251,7726,7264,6917,6095,5930,5944,6075,6709,7425,8265,9533,7061,6600,6220,5961,5963,6091,6769,7638,8369,7628,7331,6627,5967,5797,5830,6129,6389,7718,7982,7736,7004,6457,5858,5877,5588,5662,5970,7474,7864,7247,6018,5459,4708,4414,3980,3633,3806,2909,2480,2395,2197,1985,1648,1634,1348,1155,1172,984,927,789,796,719,628,567,527,516,461,462,376,305,370,246,305,263]
[299,266,324,374,375,402,420,600,567,710,751,854,976,1341,1197,1318,1669,1814,1951,2363,2809,3132,4191,6003,6732,6803,6821,6004,4983,4853,5013,5119,6163,7685,7874,7686,7165,6488,6016,5614,5817,5892,6484,7951,8381,7991,7427,7048,6128,5867,5912,7365,7036,9324,9621,8745,7825,7543,6353,6001,6280,6172,7361,8934,9506,9235,8672,8022,7008,6267,6296,6524,7084,8691,9642,9029,8736,7844,6734,6483,6297,6512,7403,8451,9392,9261,8378,7479,8037,6190,6042,6357,7409,8668,9318,8587,7986,7083,6357,6064,6243,6449,7112,8877,9199,8007,7565,6740,5972,5947,5939,6327,7027,8487,9051,7802,6797,5650,4847,4371,3818,3621,3189,2956,2705,2829,2122,1949,1697,1448,1445,1195,1186,952,878,783,725,727,692,582,606,512,325,407,380,366,363,248,264,222]
[247,303,347,358,337,533,526,553,597,644,777,881,899,1025,1126,1371,1897,1922,2024,2205,2710,3047,3865,5617,6507,6759,6872,6236,4859,4778,4921,4877,5887,6961,7516,7741,7546,6579,5800,5649,5721,5543,6295,7907,8363,8027,7588,7248,6250,6054,5879,5990,6798,8662,10928,8329,7811,7205,6358,6077,6212,6239,7339,9192,9363,8957,8761,7828,6343,6240,6111,6250,6951,8629,9474,9030,8558,7667,6531,6310,6117,5991,6835,8613,9334,8883,8399,7550,6599,6200,6374,7478,6989,8738,9173,8499,8126,7374,6686,6218,5909,6301,7029,8689,9098,8121,7594,7140,6064,5890,5853,5742,6959,8276,8808,7659,6838,5871,4859,4420,3986,3568,3291,2808,2654,2379,2335,2012,2095,1571,1407,1248,1055,1057,864,869,760,811,708,560,590,516,465,388,391,348,322,275,278,273]
[237,258,284,366,374,501,521,504,625,702,786,914,991,1023,1141,1396,1604,1886,2036,2941,2503,2957,3883,4868,5510,5858,5913,5029,4598,4454,4498,4570,5426,5920,6568,6724,6417,5618,5400,5329,5051,5288,5784,6548,7242,7110,7082,6088,5892,5586,5412,5402,6317,7188,7624,7142,8528,6780,5937,5686,5664,5829,6801,7762,7925,7939,7335,6999,6155,6250,5858,6061,6518,7650,7629,7742,7467,6878,6160,5847,5707,6084,6385,7438,7662,7828,7331,6654,6105,5844,5705,5764,6322,7541,9135,7546,7180,6541,5860,5804,5643,5517,6256,6858,7140,6972,6833,5969,6086,5415,5305,5039,5829,6853,6877,6624,6016,5138,4372,4031,3772,3578,3104,2790,2470,2281,2035,1856,1659,1575,1419,1499,1201,1021,926,837,686,686,619,606,460,481,497,426,349,391,235,272,317,247]
[314,313,274,370,390,470,417,469,543,662,730,817,874,1050,1157,1382,1474,1704,2075,2349,2527,2766,3579,3458,4241,4660,4697,4177,4249,4247,4219,4342,4856,5071,5665,5740,5664,5291,5308,4900,4890,5247,5541,5707,6192,6338,6236,5809,5611,5471,5362,5442,5701,6139,6386,6699,6458,5911,5880,6719,5512,5625,5982,6393,6732,6870,6639,6194,5866,5693,5438,5656,5924,6270,6606,6796,6527,6128,6003,5987,5597,5543,5806,6215,6900,6844,6332,6094,6137,5489,5677,5678,5835,6463,6702,6678,7550,6001,5738,5493,5426,5748,5761,6292,6337,6462,6081,5738,5403,5273,4924,5031,5556,5578,5701,5611,5032,4561,4479,4184,3958,3635,3128,2788,2762,2375,2013,2004,1800,1523,1377,1223,1183,1032,1076,856,786,701,527,620,508,441,449,381,389,382,290,257,237,204]
[284,308,342,439,452,378,484,489,567,643,797,876,931,1139,1113,1308,1523,1719,2153,2300,2653,2788,3075,3341,3756,4887,4140,4034,4122,4314,4362,4740,4757,5073,5083,5467,5432,4904,5124,5160,5093,5218,5336,5563,5772,6007,5842,5708,5555,5605,5330,5534,5409,5562,6117,6170,5916,5673,5605,5695,5627,5668,6694,6013,6442,6632,5994,5813,5775,5753,5692,5790,5816,5861,6416,6293,6079,5743,5855,5726,5534,5627,5590,5970,6127,6134,5993,5774,5588,5890,5751,5717,5626,5976,6137,6107,5742,5634,5756,5732,6502,5430,5670,5759,6066,5702,5550,5398,5404,5318,5024,4996,5190,5294,5486,5150,5094,4286,4281,4029,3567,3334,2909,2745,2456,2094,1969,1801,1634,1479,1336,1258,1121,1024,942,833,815,750,642,679,536,543,409,442,361,363,311,219,256,252]
[255,348,353,319,382,437,472,523,604,676,776,919,948,1073,1256,1371,1579,1903,2102,2362,2507,2773,3084,3306,3945,4127,4011,3922,4733,4387,4752,4651,4806,4904,5337,5444,5259,5076,4830,5491,5303,5197,5246,5426,5788,6028,5557,5565,5453,5621,5693,5378,5497,5813,5986,6023,5693,5633,5938,6000,6008,5718,5715,5729,6444,7564,6088,5641,5998,6245,5859,5439,5721,6041,6360,6329,6030,5536,5889,6141,5917,5725,5851,6188,6369,6283,6086,5608,5707,6110,6061,5801,5842,5938,6185,6364,6144,5543,5588,5836,5986,5638,6834,5936,6052,5690,5751,5561,5522,5622,5408,5244,5032,5340,5337,5271,4818,4396,4280,4250,3648,3293,3131,2737,2388,2239,1897,1700,1551,1418,1343,1287,1170,961,976,771,815,695,628,638,597,474,516,378,342,308,285,255,197,270]
[285,308,461,391,352,437,510,625,645,696,801,823,965,1009,1069,1334,1474,1712,1938,2167,2715,2789,3115,3338,4036,4509,4314,3835,3852,4282,4748,5699,4831,5114,5610,5414,5278,4871,4961,5586,5756,4981,4917,5597,6236,5751,5561,5525,5377,5810,5920,5364,5317,5585,6173,6206,6103,5427,5378,5932,5935,5753,5657,5776,6346,6256,6145,5524,6751,6035,6295,5991,5711,6247,6566,6209,6049,5869,5799,6026,6060,5835,5676,6123,6347,6673,6172,5692,5613,6146,6274,5990,5764,6186,6384,6364,6012,5716,6084,6275,6001,5688,5559,5694,6223,7538,5290,5597,5602,5587,5275,4952,5065,5299,5663,5344,4415,4256,4259,4127,3902,3320,3128,2681,2405,2281,1965,1835,1673,1561,1488,1371,1256,1169,932,946,747,747,654,557,548,536,554,413,345,411,356,267,268,238]
[219,335,370,362,351,461,508,599,634,714,868,914,957,1124,1164,1394,1537,1737,2114,2355,2848,3109,3344,3763,4199,4610,4382,3974,4173,4488,4802,4640,4797,6464,5701,5647,5045,4971,4907,5073,5443,5470,5521,5933,6318,6063,5971,5773,5424,5709,5663,5368,5708,5947,6429,6452,6157,5570,5559,6003,5944,6125,6120,6360,6508,6646,5954,5664,5939,5965,6156,7366,6035,6511,6823,6518,5924,5776,5636,6010,5795,5774,5996,6502,6825,6663,6180,5604,5687,5795,5882,5803,6318,6332,6678,6705,6230,5830,5787,6007,5846,5848,5695,6108,6414,6486,5880,5494,6676,5529,5465,5200,5306,5982,5925,5428,4714,4395,4529,4283,3829,3190,3049,2666,2283,2212,1938,1747,1551,1414,1421,1263,1112,905,860,937,842,607,552,572,555,510,445,390,367,395,299,288,311,205]
[234,356,307,413,423,387,490,492,632,690,754,935,971,1130,1190,1395,1511,1741,2097,2488,2739,3187,3499,4242,4891,4992,4726,4478,4352,4495,4626,4802,5154,5953,6188,5962,5521,6265,4957,5186,5378,5454,5617,6131,6981,6474,6080,5639,5380,5795,5593,5536,5860,6303,6740,6815,6309,5910,5703,5752,5776,5994,6270,6861,7161,7139,6720,6130,5673,5874,5959,5998,6423,7085,8788,7122,6628,6072,5777,5837,5978,6017,6094,6798,7250,7212,6710,6209,5903,5706,5501,5999,6029,6919,7046,7056,6477,6016,5516,5716,5862,5643,6059,6375,6924,6853,6175,5662,5322,5252,5461,6444,5614,6309,6182,6078,5371,4622,4356,4254,3877,3511,3087,2730,2421,2246,2067,1680,1728,1423,1443,1124,1128,962,848,707,758,619,614,544,517,426,435,418,369,309,334,318,305,242]
[202,286,425,357,426,503,457,540,616,669,711,921,968,1105,1232,1289,1567,1877,2166,2619,2931,3209,4463,5258,6415,6561,6608,5815,5141,4857,4873,5244,5675,7264,7435,6916,6738,6297,5733,6241,5655,5990,6041,7597,7694,7377,7010,6185,5966,5870,5960,5773,6196,7244,7808,7348,7262,6451,5907,5931,6141,6319,6855,8379,8405,7772,7553,6538,6324,6198,6134,6334,7068,8747,8725,8278,8166,8492,6595,6249,6112,6203,6786,8376,8659,7960,8071,6317,6368,5972,6167,6241,7206,7936,8620,7897,7317,6647,6061,5934,6043,6074,6798,7808,8042,7529,7033,6296,5696,5539,5649,5616,6307,7517,9615,6790,6065,5359,4753,4208,4092,3474,3190,2825,2428,2443,2026,1818,1696,1502,1310,1282,1038,1071,900,879,748,657,631,480,585,480,393,419,317,275,352,228,326,186]
[284,306,327,345,409,569,480,585,703,793,837,880,1011,1113,1265,1374,1644,1850,2211,2389,3014,3464,4578,6193,6950,7283,7305,6394,5266,5075,5065,5402,6755,8153,8598,7628,7388,6451,5995,5714,5684,5841,8425,8703,9057,8258,7911,7086,6300,6116,5961,6226,6701,8056,8693,8888,8666,7548,6707,6192,6153,6462,7375,9093,9734,8966,8465,7459,6697,6153,6527,6794,7723,9787,9606,8576,8190,7053,6593,7331,6351,6496,7779,9078,9048,8549,7993,6886,6292,6398,6422,6545,8279,9719,9644,9060,8223,7497,6683,6182,6108,6674,7438,9114,9673,8955,8476,7083,6440,5876,6069,6124,6774,8737,9158,7541,6767,6912,4788,4338,4026,3545,3087,2758,2498,2283,1927,1859,1796,1470,1260,1234,1020,1005,871,836,767,704,640,498,435,450,493,368,358,337,262,292,222,296]
[360,334,322,420,416,404,520,503,746,603,813,826,1043,1071,1189,1301,1562,1756,2043,2389,2809,3494,4823,6544,7128,7762,7485,5777,5343,5113,5185,5965,7563,8642,8262,7617,7135,6322,5848,5854,5659,6051,7195,8687,9205,10224,7946,6944,6260,6108,5822,5672,6069,6706,7768,7419,7571,7488,6474,6000,5872,5870,5829,7004,7890,7980,7843,7462,6597,5976,6070,6254,6962,8493,9123,8640,8354,7249,6449,6165,6205,6484,9087,9357,9201,8676,7960,6776,6203,6318,6322,7125,8768,9855,9382,8866,8117,6853,6140,6041,6335,6565,8153,9419,9259,8673,8057,6959,6104,5632,5637,5888,6739,8172,8540,7354,6810,5950,4899,4327,4541,3532,3116,2798,2400,2427,2100,1813,1744,1557,1458,1258,1097,875,867,817,775,623,588,578,504,549,420,402,411,323,315,289,279,272]
[311,309,423,420,361,465,514,558,656,691,749,933,999,1007,1210,1413,1531,1811,1831,2377,2473,2707,3479,4270,5066,5691,5952,5193,4550,4710,4602,4788,5110,6065,6342,6617,6347,6251,5697,5459,5204,5394,5820,6846,7501,7579,7318,6598,7178,5696,5534,5707,6097,7312,7345,7402,7481,6527,6273,5944,5561,5981,6408,7272,7800,7911,7584,7026,6255,6054,5813,5956,6359,7061,7753,7614,7774,7084,6497,6039,5755,5684,6065,6538,7189,8439,7063,6531,5979,5766,5549,5816,6341,7162,7790,7463,7520,6780,6120,5749,5601,5761,6419,7380,7844,7414,7229,6574,5825,5375,5318,5352,6156,7192,7420,6775,6110,5264,4729,4137,3809,3493,3153,3102,2426,2146,2000,1806,1669,1582,1417,1266,1170,1048,917,833,804,644,616,506,560,469,457,439,381,316,316,246,216,246]
[337,238,360,386,452,488,519,545,544,596,795,927,984,1090,1432,1369,1493,1770,1971,2221,2425,2880,3066,3586,4295,4863,4931,4493,4547,4332,4399,4552,4851,5248,5479,5695,5677,5268,5394,5530,5132,4989,5299,5535,6043,6105,6372,5984,5702,5777,5380,6571,5353,5844,6212,6413,6297,5906,5833,5881,5598,5561,5732,6450,6650,6761,6591,6197,6121,5712,5654,5776,5836,6525,6925,6920,7030,6352,6071,6106,5490,5577,5831,5976,6591,6471,6532,6228,6919,5747,5627,5657,5736,6105,6648,6910,6479,6060,5861,5646,5623,5339,5720,6139,6336,6214,6216,5834,5617,5362,5249,5215,5242,5415,5890,5468,5430,4963,4548,4200,3940,3598,3123,2803,2429,2235,2377,1847,1662,1533,1431,1259,1037,1019,980,844,765,726,621,615,492,499,442,395,340,275,223,261,283,214]
[296,321,270,319,399,449,512,472,633,630,744,763,920,1066,1145,1342,1453,2082,2003,2395,2660,2825,2859,3487,3941,4199,4295,3990,4207,4436,4356,4497,4819,4747,5126,5138,5102,5044,5036,5217,5192,5142,5207,5469,5755,6073,5844,5437,5477,5561,5568,5398,5517,5800,7175,5969,5932,5715,5655,5941,5663,5745,5703,6177,6124,6365,6101,5885,6228,5846,5875,6144,5890,6319,6628,6597,6317,6207,6162,6165,5873,5652,5710,6055,6242,6029,6091,5896,5959,5790,5641,6344,5968,6295,5939,6170,6124,6970,5937,5782,5973,5414,5803,6020,5932,6217,5928,5481,5645,5502,5382,5407,5126,5416,5570,5180,4854,4398,4409,4215,3771,3559,3027,2847,2452,2296,1975,1796,1592,1580,1394,1276,1186,1016,1114,825,739,725,669,538,553,581,402,330,307,292,308,260,262,186]
[317,329,372,476,403,492,519,609,717,768,873,914,1096,1267,1371,1539,1640,1909,2187,2451,2773,2878,3350,4914,4112,4116,3908,4217,4643,4768,4767,4687,5077,5160,5113,5212,4905,5038,5409,5251,5333,5338,5246,5756,5977,5810,5542,5405,5706,5855,5424,5325,5667,5933,6195,5733,5588,5321,6066,5640,5634,6560,5951,6243,6177,6167,5820,5745,6064,6202,5731,5715,6056,6412,6611,6310,5861,6067,6288,5948,5700,5759,5896,6318,6240,5815,5697,5767,5971,5908,5447,5740,5860,5891,6037,5818,5508,5632,7104,5683,5646,5245,5699,6255,5840,5634,5606,5608,5701,5493,4871,5006,5445,5730,5152,4861,4485,4317,4165,3669,3398,2914,2618,2425,2238,1978,1666,1484,1457,1339,1084,1110,1015,1005,831,996,760,593,611,564,434,374,446,348,335,376,260,188,227,170]
[298,262,347,382,542,390,498,555,624,678,770,743,967,1044,1086,1348,1478,1665,2039,2314,2808,2760,3076,3343,4022,5113,3860,3912,3918,4646,4625,4591,4489,5008,5510,5478,5050,4736,4877,5384,5738,5390,5302,5580,5931,5811,5779,5459,5345,5877,5832,5577,5437,5684,6147,5907,5779,5364,5588,6120,5948,5844,6727,6038,6498,6309,5845,5948,5916,6003,6203,5774,5715,6010,6567,6740,6261,5841,5838,6070,6302,5797,5407,6151,6142,6383,5745,5571,5481,5891,6069,5821,5463,5864,6267,6241,5883,5663,5400,5900,7134,5707,5482,5923,6021,5854,5746,5312,5487,5670,5646,5302,4957,5255,5491,5509,4764,4450,4280,4392,3600,3268,2965,2615,2238,2108,1865,1829,1521,1399,1253,1167,1104,932,932,836,824,724,631,509,482,433,418,319,339,274,284,226,192,208]
[353,278,367,399,416,448,498,502,581,659,751,792,810,1123,1110,1360,1665,1602,2035,2211,2503,3081,3185,3621,4060,4457,4300,3981,4927,4498,4565,4385,4846,5204,5689,5801,5006,4835,5117,5126,5383,5517,5626,5930,6076,6019,5671,5069,5283,5493,5765,5643,5931,6309,6591,6459,5933,5840,5698,5820,5816,5862,6034,6086,6440,7781,6051,5876,5965,5828,6099,6162,6057,6509,6683,6579,5967,5954,5685,5950,5707,5850,5999,6267,6383,6667,5968,5640,5541,5744,6019,5761,5937,5944,6571,6431,5839,5572,5626,5799,5825,5620,5672,7265,6343,6018,5510,5645,5441,5684,5500,5206,5491,5606,5865,5362,4673,4457,4622,4335,3764,3400,2929,2768,2447,2142,1906,1591,1469,1461,1283,1188,1118,971,865,839,728,673,670,513,602,478,471,333,367,316,333,327,285,159]
[261,289,330,394,455,443,451,652,629,626,781,845,969,1147,1310,1328,1495,1813,1995,2396,2759,3180,3551,4245,4774,4686,4612,4407,4188,4259,4439,5653,5300,5794,6214,5882,5578,5223,4964,5051,5226,5265,6009,6351,6776,6738,6277,5732,5321,5398,5542,5682,6213,6838,7091,6987,6563,6163,5486,5609,5601,5910,6006,6719,7136,7097,6774,6123,6930,5624,5988,6206,6558,6929,7042,7038,6440,6078,5972,5885,5781,5792,6192,6757,6971,6717,6511,6016,5652,5640,5838,5682,6149,6799,7018,6892,6235,5756,5774,5643,5536,5668,5931,6740,7205,8005,5977,5730,5301,5420,5186,5310,5690,6422,6255,5755,5073,4623,4548,4123,3870,3415,2974,2661,2412,2271,1953,1686,1623,1527,1275,1134,1082,931,852,859,703,632,625,521,463,435,484,382,352,256,252,247,265,202]
[288,384,272,361,421,484,550,671,535,675,774,849,995,1094,1140,1325,1518,1748,2076,2469,2774,3253,3973,5303,6017,5914,5744,5077,4770,4525,5065,4812,5528,6550,8117,6751,6147,5679,5288,5192,5583,5837,6224,7396,7910,7321,6920,6313,5856,5538,5603,6130,6520,7757,8226,7652,7046,6824,6067,5794,5804,6262,6656,7365,8144,7572,7371,7150,6128,5980,6178,7596,6871,8175,8220,7752,7225,6510,6193,5866,5910,6059,6534,7716,7928,7556,6954,6520,5977,5868,5966,6166,6566,7479,7729,7344,6966,6470,5858,5874,6068,6056,6585,7867,8021,7209,6912,6303,6932,5433,5513,5701,6398,7511,7670,6607,5902,5336,4552,4294,3911,3629,3133,2738,2377,2353,2006,1836,1776,1534,1396,1260,1058,979,931,818,731,611,541,547,539,456,415,343,284,303,272,304,207,262]
[293,303,377,462,437,437,551,551,562,668,724,905,1001,1109,1203,1340,1580,1751,2119,2149,2811,3220,4424,5888,6587,7069,6899,5750,4846,4693,4883,5318,6195,7143,7758,7507,7694,7582,5714,5574,5613,6023,7005,8357,8716,8118,7637,6500,5964,5793,5853,6083,6895,8465,8709,8253,7525,6932,6142,6115,5826,6322,7004,8429,8625,8245,8091,7484,6359,6378,6425,6418,7264,8890,11442,8578,7578,7084,6412,6217,6336,6389,7139,8799,9164,8300,7955,6756,6195,5965,6190,6438,7519,8620,9396,8203,7547,6818,6207,6067,5999,6232,7554,9068,8988,8527,7304,6633,6132,5585,5647,7037,7154,8899,8095,7067,6349,5368,4673,4187,3900,3375,3066,2746,2382,2221,2124,1827,1722,1550,1386,1094,1031,1013,852,773,731,629,579,561,540,494,423,389,347,293,293,197,260,209]
[301,329,347,434,445,443,459,545,592,714,799,844,906,1153,1156,1299,1567,1823,1977,2368,2494,2994,4082,5289,6181,6704,6998,6077,4895,4787,4945,5011,5863,7211,7374,7566,6956,6237,5633,5484,6513,5526,6602,7993,8219,8005,7860,7105,6066,5793,5976,5859,6728,8166,8668,8678,7887,7028,6368,6052,5925,6182,6886,8515,8778,8539,8178,7342,6489,6093,5916,6024,7302,8942,9161,8881,8149,7271,7696,6108,6058,6202,7150,8501,8632,8479,7686,6893,6214,5938,5767,6132,7002,8481,8698,7872,7689,7015,6222,5887,5790,6159,6760,8600,8801,7928,7677,6905,5921,5682,5308,5634,6719,7849,8336,9269,6370,5548,4727,4221,3735,3265,3087,2672,2541,2180,2149,1829,1669,1440,1356,1176,1005,1012,830,786,784,708,588,494,489,476,496,413,334,340,255,298,222,228]
[314,345,339,355,433,377,664,501,708,617,797,889,980,1026,1155,1349,1524,1657,1944,2195,2515,2823,3457,4364,4857,5927,5870,5039,4387,4514,4554,4663,5335,6040,6330,6295,6396,5707,5402,5284,5238,5285,5800,8170,7212,6825,7046,6306,5872,5580,5384,5373,5955,6815,7173,7389,7153,6496,5901,5722,5434,5855,6139,7151,7707,7609,7518,6870,5931,5705,5766,5829,6436,7311,7672,7558,7329,6626,6113,5899,6999,5926,6586,7271,7464,7488,7237,6522,5989,5833,5434,5776,6645,7361,7392,7067,6918,6401,6120,5691,5743,5753,6398,7190,7342,7182,6765,6259,5565,5296,5024,4942,5667,6752,7095,6689,6126,5128,5395,4053,3655,3293,2816,2484,2423,2088,1908,1597,1569,1438,1252,1142,1038,930,860,770,648,696,557,582,445,526,396,314,390,284,245,223,220,248]
[209,338,324,314,487,444,576,513,662,756,702,890,963,1000,1195,1302,1545,1765,2042,2317,2383,2765,2914,3499,4080,4869,4540,4305,4073,4212,4006,4219,4416,5065,5418,5437,5349,5147,5275,4884,5083,5020,5290,5705,6013,6141,7412,5437,5658,5432,5279,5163,5706,6015,6378,6607,6177,5804,5708,5692,5610,5395,5602,6252,6656,6630,6625,6163,5952,5628,5556,5662,5809,6239,6712,6484,6552,6226,5925,5806,5639,5547,5531,7563,6310,6724,6144,6080,5853,5513,5326,5488,5806,6273,6483,6433,6083,5731,5814,5585,5307,5534,5653,5851,6385,6374,6272,5797,5399,5011,4882,5067,5293,5592,5683,5535,5103,4521,4327,4166,3687,3975,2811,2472,2219,2010,1811,1594,1498,1441,1279,1194,1025,903,861,760,752,651,573,509,507,487,363,417,377,332,277,233,177,185]
[355,315,286,441,410,457,430,546,545,670,663,806,1078,1059,1136,1240,1414,1673,1822,2207,2360,2669,2817,3072,3723,4058,4062,3982,3994,4170,4257,4115,4462,4582,5120,5050,4794,4927,4805,4914,4774,4966,5227,5640,5810,5930,5634,5399,5646,6725,5468,5507,5401,5872,6083,6259,5895,5712,5801,5521,5605,5620,5863,5977,6440,6425,6046,5839,5893,6175,5812,5499,5760,6133,6549,6579,6272,5953,5664,5786,5584,5445,5621,5886,6249,6438,7382,5843,5602,5610,5617,5347,5635,6042,6281,6041,6030,5565,5729,5621,5453,5368,5709,5539,5963,5937,5471,5469,5459,5260,5148,4915,5055,5269,5581,5386,4677,4339,4427,4143,3803,3247,2744,2540,2737,1880,1802,1627,1459,1380,1314,1148,1022,976,875,745,629,609,560,536,493,411,396,359,296,303,330,202,151,223]
[311,324,328,358,366,475,450,554,582,646,718,744,884,954,1040,1526,1392,1642,1796,2212,2317,2631,2832,3327,3702,3924,3843,3637,3898,4351,4418,4452,4420,4452,4651,5132,4705,4413,4682,5100,5090,4871,4978,5242,5416,5855,5272,5237,5114,5246,5586,5359,6116,5539,5971,5837,5625,5466,5312,5749,5533,5361,5482,5553,6093,6184,5632,5543,5617,5913,5758,5706,5369,5674,6270,6419,6068,5524,5627,5715,5737,5731,5599,5796,6045,6232,5811,5584,5568,7110,5844,5637,5592,5770,6256,6150,5503,5398,5588,5744,5685,5384,5469,5704,5727,5988,5330,5470,5503,5521,5407,4928,4807,4971,5325,5280,4657,4181,4233,4069,3539,3199,2819,2522,2244,1865,1735,1875,1388,1312,1252,982,1082,856,850,728,702,608,543,536,516,411,387,363,310,299,367,167,226,209]
[295,353,348,396,416,430,414,467,570,685,757,821,823,984,1062,1234,1283,1567,2103,2053,2416,2540,2778,3153,3793,3944,3774,3359,3646,4284,4303,4331,4393,4533,4951,5028,4688,4366,4647,4950,5159,5071,4873,5407,6042,5956,5572,5201,5297,5512,5844,5706,5120,5527,5798,7486,5607,5408,5451,5744,5654,5507,5486,5503,5989,6152,5619,5387,5358,5857,5945,5547,5371,5486,6448,6437,5939,5695,5592,6038,6031,5512,5576,5669,6275,6318,5919,5541,5513,5776,6104,5694,6846,5897,6320,6150,5933,5438,5284,6050,5941,5528,5297,5643,5978,6041,5601,5137,5399,5623,5554,4894,4673,4996,5310,4991,4923,4459,4372,4189,3580,3224,2955,2616,2183,2121,1665,1640,1536,1399,1401,1094,1030,850,928,738,742,591,616,586,474,416,371,412,370,302,225,229,211,190]
[300,252,362,375,351,460,522,522,677,567,686,782,934,1060,1115,1138,1330,1639,1811,2106,2505,3391,3152,3717,3886,4075,3897,3602,3566,4181,4348,4328,4564,4846,5366,5087,4818,4839,4518,5066,5069,4832,5057,5660,6152,6004,5701,5314,5088,5266,5349,5337,5750,5829,6464,6255,5633,5538,6708,5516,5454,5417,5775,6336,6494,6418,5990,5459,5356,5718,5563,5601,5884,6369,6737,6400,6085,5471,5634,5836,5712,5626,5772,6204,6554,6475,5790,5408,5508,5727,5810,5727,5958,6219,6580,7553,5876,5527,5573,5818,5574,5437,5871,5991,6256,6178,5461,5119,5370,5460,5108,4903,4981,5498,5836,5591,4740,4404,4257,4061,3694,3237,2672,2358,2076,1967,1692,1496,1329,1313,1252,1125,1137,792,799,712,614,608,547,530,435,451,313,398,346,318,234,236,266,217]
[286,345,376,370,423,418,427,552,507,676,668,747,824,977,1148,1164,1331,1486,1862,2069,2401,2733,3367,5120,4589,4421,4274,3943,3778,3952,4082,4381,5022,5558,5906,5531,5279,4874,4566,4783,4908,5096,5310,6138,6201,6135,5800,5673,5151,5112,5200,5231,5652,6514,6753,6627,6209,6040,5456,5509,5325,6638,5664,6784,6729,6784,6464,5955,5625,5368,5832,5594,6228,6916,7583,7301,6604,6320,5774,5707,5711,5730,6016,6545,7084,6784,6637,5997,5700,5789,5636,5881,5983,6893,7240,6851,6430,6039,6830,5338,5451,5537,5847,6399,6734,6445,6020,5586,5065,5231,5054,5119,5314,6135,6307,5806,5004,4660,4382,4069,3498,3185,2655,2411,2156,1925,1787,1652,1399,1225,1237,968,952,812,810,690,703,516,564,609,443,402,339,327,315,350,228,233,225,153]
[300,286,267,341,328,427,450,545,531,627,680,838,902,961,1022,1151,1464,1528,1705,1989,2465,2897,3518,5011,5522,5610,5336,5273,3926,3917,4178,4478,5488,6615,6761,6611,6059,5457,4674,4795,5062,5122,5813,6969,7473,7164,6736,6026,5628,5280,5567,5568,5776,7489,7852,7690,7276,6284,5591,5660,5506,5656,6150,7478,9593,7900,7260,6426,5564,5688,5575,5885,6744,7724,8546,8057,7487,6535,6051,5643,5631,5980,6451,7537,7908,7763,7255,6418,5965,5765,5764,5990,6362,7814,8322,7762,7185,6785,5774,5600,5847,6778,6268,7313,7233,6986,6632,5893,5279,5214,5234,5089,6036,7200,7549,6690,5783,5139,4442,3975,3508,3078,2621,2487,2234,2015,1765,1485,1377,1293,1142,970,908,804,729,678,697,550,502,556,412,366,387,334,391,255,211,271,254,201]
[295,298,289,435,367,405,450,518,514,625,609,743,766,838,984,1155,1325,1416,1657,1988,2328,2929,3889,5444,6600,6386,6561,5300,4437,3993,5197,4398,6020,7631,7861,7400,6905,5750,4958,5025,5089,5389,6500,7657,8110,7909,7314,6037,5409,5565,5357,5613,6715,8493,8915,8439,7579,6671,5724,5622,5712,5865,6806,8107,9011,8428,8387,8149,5933,5670,5694,6118,6995,8941,9445,8697,7692,6941,6231,5805,5665,5982,7150,8701,9055,8302,7990,6972,6183,5743,5719,6138,7315,8744,9064,8515,7998,6903,5862,5824,5787,5910,6546,7920,8384,9380,6732,6239,5485,5288,5164,5686,7092,8512,8244,7351,6466,5346,4353,3860,3456,3090,2642,2441,2047,2038,1775,1511,1368,1263,1136,894,902,812,704,658,604,603,492,501,477,399,388,356,331,221,258,254,249,133]
[297,242,401,388,398,498,532,515,611,679,755,940,911,1117,1165,1304,1571,1569,1956,2432,2619,3699,5096,5998,5842,6061,5518,3994,4104,4235,4376,6960,6881,6873,6941,6661,5662,4953,4925,4907,5154,6369,7190,7695,7171,6995,5960,5484,5568,5232,5666,6954,7988,7803,7621,7362,6349,5512,5660,5532,5754,6983,8322,8205,8339,7831,6595,5590,6437,5582,6114,7145,8580,8452,8276,7606,6723,5948,5947,5668,5907,7253,8465,8442,8234,7872,6865,5824,5912,5801,5911,7261,8720,8442,8164,7815,6704,5833,5771,5296,5642,6677,7646,7931,7462,8441,7257,5390,5146,5132,5569,7182,8110,7681,6999,5882,5033,4269,3887,3172,2855,2563,2111,2012,1781,1653,1354,1371,1167,1007,953,849,819,672,700,558,614,524,447,411,364,361,288,393,197,251,200,266,235,211]
[304,328,405,412,419,347,504,467,563,677,707,716,905,984,1001,1101,1270,1410,1627,1835,2221,2546,3038,4185,4528,5042,5282,4385,4172,3890,4065,3956,4807,6713,5640,5900,5913,5061,4694,4455,4467,4719,5453,6151,6329,6296,6093,5623,5399,5207,5090,4975,5505,6540,6699,6909,6818,5958,5427,5427,5138,5397,5774,6659,6846,7051,6732,6016,5630,5380,4978,6453,6167,7053,6989,6977,6994,6304,5462,5485,5218,5289,5970,7224,7102,7071,6957,5820,5434,5247,5137,5336,6313,7139,7522,7181,6784,6112,5725,5351,5144,5036,5897,6331,6600,6594,6316,5757,6413,4698,4761,4814,5528,6078,6517,6043,5418,4519,4304,3867,3270,2994,2606,2170,1909,1723,1659,1469,1290,1257,1143,927,836,843,754,639,638,575,533,499,413,336,338,278,235,320,199,190,247,190]
[302,349,342,281,393,405,429,489,485,585,659,627,810,849,936,1052,1230,1351,1649,1764,2088,2208,2559,3166,3751,4178,4121,3662,3600,3862,3673,3701,4030,4250,4736,4951,5033,5619,4372,4488,4251,4349,4549,5071,5481,5922,5499,5165,4977,4993,4710,4700,5247,5766,6213,6107,5803,5234,5283,5291,5085,4812,5159,5704,6089,6547,5958,5372,5208,5138,5204,4915,5207,5947,7614,6481,6125,5601,5731,5270,5164,4964,5189,5727,6260,6214,6071,5474,5352,5084,5036,4870,5319,5823,6410,6683,6064,5624,5013,5061,4874,4904,5101,5451,5514,5911,5594,5207,5158,4778,4572,5202,4525,5396,5501,5146,4611,3903,3787,3725,3422,3055,2472,2118,1857,1741,1555,1354,1213,1125,1049,1063,909,782,697,688,553,538,536,426,424,397,343,385,276,235,243,201,146,279]
[238,317,293,384,416,353,389,499,458,565,639,739,751,845,894,1133,1247,1331,1544,1842,1812,2216,2350,2943,3431,3754,3515,3405,3395,3708,3962,3641,4024,4072,4538,4555,4419,4131,4362,4277,5346,4393,4368,4698,5200,5271,5175,4684,4738,4633,4881,4797,4576,5197,5750,5815,5342,5146,5120,5091,5224,4585,4861,5120,5873,6000,5326,4945,5146,4964,5193,4820,4935,5522,6007,6084,5502,6344,5573,5244,5218,5222,4893,5762,5772,5937,5282,5133,5297,5273,5231,4700,4898,5541,5907,5810,5238,5387,5226,5121,4876,4851,4736,5221,5640,5656,5114,4965,4937,4846,4751,4268,4311,4797,6051,4582,4166,3977,3950,3546,2966,2696,2223,1966,1902,1616,1439,1232,1162,1065,905,941,825,812,781,621,546,515,508,425,445,479,362,320,342,221,200,200,176,174]
[277,249,317,286,352,394,555,436,505,549,543,596,664,820,913,945,1150,1213,1364,1662,1976,2182,2475,2787,3330,3398,3446,3144,3467,3967,3914,3672,3764,3878,4134,4504,4378,4032,4020,4365,4303,4301,4096,5266,4863,5120,4929,4446,4479,4764,4700,4613,4521,4906,5377,5624,5029,4710,4759,5108,5103,4892,4556,4793,5466,5594,5130,4884,4863,5258,4931,4980,4740,4952,5888,5723,5450,5106,5242,5479,6162,5087,4862,5012,5618,5646,5300,4913,5132,5227,5100,4770,4777,5058,5620,5758,5090,4872,4896,5151,5178,4750,4556,5010,5134,5438,5195,4606,4853,5055,4785,4114,4055,4480,4914,4896,4539,4595,3782,3535,3007,2638,2275,2039,1792,1511,1303,1249,1134,945,953,872,812,763,723,623,601,608,469,502,379,418,255,334,337,334,208,212,162,226]
[190,290,246,280,422,396,336,392,492,601,587,683,662,664,870,894,936,1092,1237,1601,1823,2167,2501,2834,3498,3646,3129,3098,3137,3634,3877,3611,3732,3967,4332,4727,4192,3854,3969,4269,4395,4244,4031,4355,5097,5202,5614,4145,4167,4623,4640,4273,4457,4687,5351,5385,4774,4351,4443,4985,4972,4413,4421,5011,5356,5406,4971,4511,4412,4772,5008,4454,4791,5109,5733,5668,5020,4758,5037,5449,4972,4758,4720,5905,5470,5386,4871,4641,4792,5020,4874,4477,4445,5031,5343,5522,4739,4468,4811,4986,4895,4530,4299,4817,5444,5356,4826,4366,4727,4875,4705,4105,4165,4344,5049,4895,4257,3660,3796,3675,3524,2554,2267,1932,1762,1469,1274,1179,1056,913,941,835,755,621,746,569,535,537,531,489,423,338,297,350,230,295,149,189,187,254]
[241,274,313,264,359,411,326,408,474,562,526,676,672,689,817,823,1003,1147,1265,1628,2075,2357,2792,3107,3627,3817,3312,3360,3390,3552,3653,3510,3713,4085,4497,4827,4287,3872,3745,4101,4345,4199,4252,4817,5215,5318,4850,4327,4281,5007,4380,4231,4761,5209,5491,5401,5001,4554,4651,4717,4595,4776,5017,5443,5582,5920,5180,4788,4620,4756,4873,4736,5088,5288,5946,6168,5467,4877,4878,5097,4760,4869,4713,5263,5803,5662,6099,4696,4447,4835,4768,4536,4587,5143,5842,5783,5148,4451,4561,4823,4538,4384,4868,5251,5835,5797,5056,4603,4431,4549,4453,4265,4304,4773,5318,5286,4560,4113,3967,3918,3111,2563,2425,2332,1702,1472,1255,1181,1104,902,901,801,812,649,641,591,547,527,468,434,319,378,306,377,281,225,179,150,201,238]
[259,305,260,273,308,349,428,388,422,455,576,614,653,659,922,936,1015,1097,1272,1573,1997,2316,3012,3758,4392,4376,4057,3743,3441,3426,3296,3565,4065,4625,5334,5302,4824,4272,3793,3943,3842,4218,4497,5213,5903,5918,5659,4851,4362,4388,4141,4425,5517,5648,6101,5976,5476,4736,4523,4632,4400,4638,4839,5852,6520,6440,5624,5206,4509,4485,4322,4672,4857,5638,6732,6809,6201,5384,4793,4593,4505,4587,4882,5944,6149,6349,5545,4988,4514,5216,4208,4674,4807,5537,6269,6074,5307,4920,4590,4328,4325,4454,5177,5945,6309,6176,5657,4875,4393,4168,4065,4396,4515,5410,6115,5804,5040,4357,4113,3833,3147,2683,2129,1998,1605,1563,1621,1256,1140,968,820,795,713,595,564,631,573,555,465,375,361,341,359,196,271,260,213,158,218,158]
[265,227,253,275,272,310,340,387,359,411,464,465,550,640,736,853,788,1180,1214,1595,1931,2471,3303,4457,5409,5524,5820,4339,3615,3374,3489,3736,4400,5635,6426,6538,5704,4894,4025,4011,4153,4237,4931,6489,7073,6897,6149,5213,4454,4331,4157,4446,5018,6277,7149,8258,6334,5356,4684,4392,4398,4835,5417,6847,7597,7227,6625,5778,4840,4525,4451,4944,5393,6996,7718,8019,7384,6138,5139,4930,4546,4741,5266,6882,7608,6982,6695,5837,4621,4358,4209,4528,6319,6606,7225,6704,6035,5416,4759,4489,4334,4416,5476,7052,7409,7014,6167,5439,4443,4172,4240,4475,5339,6824,7009,6213,5788,4717,4129,3354,2852,2474,2144,1880,1613,1490,1353,1259,1061,1111,921,710,668,672,674,541,465,481,445,345,364,346,321,207,180,151,211,165,218,198]
[281,220,263,256,302,355,364,399,416,463,519,420,559,609,686,729,830,951,1049,1182,2149,2306,3550,5178,6118,6708,6231,4844,3866,3820,3728,3830,4725,6393,6815,6775,6401,5506,4370,3879,4128,4377,5395,7750,8045,7780,7238,5497,4319,4206,4336,4498,6064,7702,8250,8119,7105,7260,4719,4747,4499,4994,6638,8223,8377,7908,7005,5534,4760,4496,4677,4948,6503,8433,8535,8344,7794,6268,5112,4826,4513,4707,6014,7982,8370,7814,7370,6141,4403,4416,4318,4511,5555,7603,8341,9472,6578,5444,4574,4556,4359,4845,6141,8261,8356,7881,6965,5655,4663,4145,4390,4663,6411,8023,7861,7238,6510,4996,3960,3375,2745,2274,2015,1811,1494,1336,1190,1120,969,879,725,669,742,576,520,511,370,373,392,308,312,293,268,274,184,182,164,127,247,229]
[199,283,201,263,256,284,434,358,341,382,436,508,556,612,587,653,788,928,1027,1145,1467,1996,2938,5507,5646,6231,6265,4689,3760,3642,3534,3617,4649,5868,5885,6027,5523,4826,4208,4011,3988,4037,5257,6875,7089,7147,6364,5153,4419,4236,4150,4207,5370,7322,7102,7398,6873,5730,4701,4406,4275,5416,6012,7377,7508,7292,6659,5277,4614,4378,4154,4564,5809,7289,7571,7524,7228,5698,4827,4637,4333,4387,5729,7281,7574,6940,6843,5637,4444,4329,3844,4373,5165,6791,6902,6840,6229,5174,5253,4276,4236,4204,5776,7304,7378,7051,6177,5139,4404,4061,4049,4018,5683,6995,7149,6893,6184,4583,3589,3120,2549,2090,2018,1566,1377,1322,1152,952,921,841,813,751,677,532,525,585,411,490,396,330,378,388,269,258,180,265,213,119,160,217]
[227,308,280,252,227,270,371,320,428,452,381,388,500,528,578,715,749,826,933,1061,1358,1776,2341,3224,3695,4513,5279,3915,3336,3306,3031,3257,3575,4256,4254,4662,4804,4162,3749,3522,3439,3504,4194,5025,4976,5293,4961,4210,3998,3716,3409,3503,4216,5187,5070,5244,5575,4574,4192,3752,3672,3748,4342,6148,5167,5450,5029,4606,3870,3742,3583,3735,4673,5389,5551,5716,5363,4575,4219,3873,3608,3752,4621,5372,5686,5547,5422,4396,3925,3611,3507,3724,4352,5103,5362,5273,5180,4429,4062,3866,3784,4425,4733,5411,5579,5807,4971,4190,4010,3460,3579,3662,4607,5350,5295,5063,4777,3613,3444,2796,2306,2045,1668,1444,1362,1131,1028,828,788,728,734,659,644,571,532,454,438,426,464,324,366,319,274,266,232,217,171,132,147,177]
[260,275,279,198,261,286,297,354,397,460,476,480,522,527,612,708,676,782,878,1028,1164,1453,1648,2135,2837,3237,3639,3138,3014,3352,2682,2502,2877,3234,3607,3794,3740,3245,3070,2936,2842,2880,3165,3918,3972,4328,4193,3684,3385,3261,3036,3184,3528,3826,4356,4646,4525,3960,3715,3331,3085,3201,3529,4033,4348,4464,5394,3715,3375,3185,3243,3232,3588,4174,4533,4959,4655,3923,3587,3415,3142,3113,3691,4245,4425,4671,4421,3606,3443,3021,3112,3064,3331,3982,4231,4310,4026,3596,3435,3297,2951,3154,3434,3947,5362,4232,3973,3403,3184,3112,2765,3018,3314,3977,4065,4023,3432,3151,2862,2422,2063,1716,1537,1319,1143,1031,998,945,865,834,669,689,615,597,519,474,439,342,339,344,323,337,321,193,287,175,154,161,147,82]
[270,231,204,297,288,291,301,352,392,391,477,473,524,552,632,568,647,704,777,925,1109,1208,1397,1696,2357,2502,2755,2653,2648,2556,2304,2392,3129,2791,2971,3091,3105,2727,2776,2636,2813,2709,2935,3360,3653,3673,3395,3201,3149,2941,2841,2925,3122,3494,3711,3814,3594,3438,3140,3041,2960,2984,3047,3738,3649,3857,3743,3331,3233,3561,2967,2955,3200,3606,3997,4129,3700,3476,3373,3019,3148,3091,3147,3632,3823,3770,3452,3203,2957,3006,2843,2917,3018,3297,3690,3728,3552,3236,3044,2901,2790,2861,2956,3412,3689,3817,3600,3702,2878,2700,2679,2785,2918,3432,3478,3341,2899,2730,2295,2055,1854,1523,1325,1294,1154,939,857,810,693,663,633,605,583,482,471,438,436,335,364,293,361,342,331,213,230,157,159,181,121,94]
[200,252,237,320,301,221,261,292,379,354,414,410,490,544,594,592,599,644,720,771,817,1063,1209,1397,1925,2046,2069,2348,2313,2245,2256,2254,2267,2306,2499,3084,2336,2506,2224,2424,2621,2666,2569,2699,2839,2768,2872,2946,2561,2725,2450,2692,2627,2886,3013,3241,3141,3028,2908,3021,2807,2700,2732,3002,3158,3211,3082,3148,2941,2846,2673,2622,3428,3222,3353,3194,3189,3066,3031,2866,2873,2759,2861,2956,3227,3258,3065,2966,2934,2717,2600,2534,2603,2746,2892,2918,2992,2824,2693,2714,2682,2657,2733,2574,2909,2963,2934,2784,2734,3232,2608,2448,2565,2556,2803,2466,2405,2187,2066,1726,1531,1347,1283,1172,1011,836,874,767,666,600,606,507,489,436,419,414,378,408,308,296,291,307,248,233,263,235,147,224,94,68]
[227,208,280,203,278,252,339,303,302,351,335,396,442,515,579,592,541,617,638,786,808,860,936,1174,1357,1546,1661,1713,1764,1818,1838,1621,1858,1753,1886,2045,2178,1908,2415,1927,1939,2130,2058,2130,2231,2341,2267,2289,2184,2298,2141,2141,2186,2347,2530,2445,2640,2495,2501,2347,2391,2246,2365,2380,2514,2636,2676,2465,2403,2370,2285,2339,2402,2447,2699,3162,2607,2539,2461,2547,2343,2285,2228,2433,2381,2574,2426,2584,2231,2241,2291,2247,2321,2163,2412,2394,2378,2299,2394,2369,2238,2060,2155,2247,2274,2305,2313,2191,2228,1963,2043,2028,2338,1995,2029,1913,1809,1738,1493,1425,1272,1169,1067,929,898,822,755,643,656,648,528,490,464,447,382,374,332,344,309,280,247,191,242,204,177,230,158,132,148,76]
[115,189,279,226,288,270,283,254,357,305,380,349,447,472,538,519,549,477,599,686,665,789,811,898,967,1249,1209,1345,1271,1490,1327,1545,1517,1673,1626,1621,1688,1723,1664,1776,1734,2052,1982,1902,1803,2029,1997,1906,1925,1810,2000,2007,2010,2090,2180,2183,2204,2161,1973,2014,1953,2103,2281,2172,2078,2134,2121,2145,2091,1997,1991,1990,2029,2120,2002,2144,2063,2162,2140,2461,2111,2135,2009,2186,2132,2028,2010,2170,2007,1968,2018,1921,2028,1923,2075,2012,1947,1955,1904,1997,1898,1980,1825,2070,1880,1956,1848,1898,1720,1792,1725,1771,1700,1630,1715,1485,1692,1368,1257,1357,1297,1014,997,958,912,656,621,744,571,544,485,473,403,408,323,390,414,333,277,245,309,204,262,287,190,201,168,131,165,155]
[240,228,234,268,177,213,233,315,296,355,318,352,441,354,450,388,477,586,582,678,661,682,678,860,887,946,1161,1177,1140,1232,1246,1325,1337,1520,1477,1501,1492,1425,1497,1473,1522,1561,1733,1993,1586,1779,1671,1659,1676,1760,1687,1645,1750,1830,1733,1912,1818,1796,1651,1857,1751,1865,1708,1897,1888,1781,1739,1770,1682,1720,1795,1841,1770,1705,1830,1853,1982,1763,1859,1814,2089,1777,1704,1785,1855,1945,1922,1718,1675,1801,1701,1713,1838,1697,1755,1699,1699,1704,1732,1610,1589,1765,1679,1561,1554,1786,1696,1488,1418,1497,1568,1417,1380,1374,1475,1250,1286,1204,1269,1084,957,976,787,836,777,709,642,578,562,534,492,417,432,353,351,349,318,314,306,282,234,213,206,159,226,212,76,103,98,76]
[260,225,208,180,197,297,247,250,277,367,345,407,319,358,460,525,437,489,553,598,634,555,756,738,857,879,885,946,1041,1072,1030,1077,1131,1232,1240,1259,1277,1327,1283,1269,1254,1365,1538,1396,1421,1434,1804,1434,1541,1413,1566,1458,1471,1355,1556,1653,1561,1582,1561,1581,1445,1734,1540,1619,1594,1470,1680,1656,1593,1510,1568,1548,1641,1671,1587,1478,1676,1526,1413,1530,1518,1620,1565,2035,1545,1744,1598,1611,1525,1445,1512,1653,1379,1375,1538,1492,1466,1443,1413,1408,1464,1409,1385,1301,1411,1356,1432,1254,1286,1369,1246,1306,1189,1245,1199,1134,996,1142,924,921,1071,818,753,750,723,641,626,583,534,525,498,432,358,330,294,286,301,300,253,269,233,189,185,221,205,190,146,220,100,84]
[218,193,177,193,232,226,261,251,253,224,286,334,325,360,352,346,494,555,445,446,583,532,633,733,677,789,791,770,813,780,817,902,917,1071,989,1044,1103,1156,1048,1056,1055,1188,1248,1214,1260,1225,1297,1302,1318,1382,1296,1274,1150,1228,1311,1378,1344,1390,1289,1253,1291,1306,1364,1488,1358,1344,1357,1396,1353,1370,1276,1314,1277,1334,1443,1376,1497,1371,1356,1367,1380,1399,1422,1383,1423,1380,1642,1390,1317,1274,1399,1351,1319,1313,1324,1287,1246,1246,1332,1229,1156,1227,1227,1229,1202,1211,1245,1195,1141,1023,1007,973,1139,972,1059,950,1001,973,836,828,875,824,734,661,800,667,571,562,530,404,406,416,320,439,336,318,311,318,333,190,241,282,179,258,239,213,90,132,88,96]
[195,201,251,240,262,272,254,253,335,220,309,243,273,373,291,503,387,476,445,532,465,503,629,584,634,652,670,702,762,739,820,839,840,992,1040,1056,1054,949,1038,1003,1024,1108,1140,1106,1224,1270,1361,1177,1164,1104,1169,1146,1329,1207,1222,1345,1319,1290,1200,1125,1143,1224,1336,1279,1185,1307,1308,1308,1275,1254,1167,1245,1294,1306,1231,1390,1311,1324,1317,1211,1166,1207,1288,1241,1363,1278,1244,1208,1126,1203,1461,1211,1166,1260,1227,1237,1176,1097,1150,1116,1040,1114,1102,1147,1146,1180,1179,1102,1109,1109,1023,980,1035,931,956,1001,889,854,815,643,695,645,712,633,592,490,528,600,396,449,376,369,319,333,290,315,275,275,261,235,224,199,187,171,149,149,96,100,88,76]
[139,189,253,140,207,271,225,278,289,303,273,300,330,406,420,274,438,449,542,456,478,588,554,477,647,639,712,642,682,648,733,733,755,834,786,1008,908,979,943,894,983,952,1097,1064,990,1084,1016,1000,1056,1080,983,1030,1062,1108,1229,1371,1133,1152,988,1109,1083,1101,1103,1216,1169,1150,1173,1219,1090,1190,1079,1052,1163,1107,1223,1129,1084,1150,1080,983,1238,1199,1099,1161,1160,1170,1081,1095,1078,1104,1060,1172,1001,1277,1059,1029,1093,1102,1014,968,952,1035,1013,1044,1051,1007,922,937,841,929,857,934,842,830,833,743,807,786,670,800,655,653,645,609,632,496,460,538,469,485,480,419,325,331,341,312,268,281,292,259,287,190,182,147,159,183,137,100,187,82]
[158,234,241,239,233,261,285,338,325,266,333,328,348,356,399,372,360,423,463,446,521,517,466,593,555,569,633,574,614,688,605,665,770,695,808,853,874,845,902,786,898,882,886,894,969,945,950,1037,925,918,977,965,989,924,1096,1027,1100,959,1278,1015,1063,953,1124,1034,1093,1031,1099,1064,959,922,1062,1018,1029,1068,899,974,1001,1092,1064,1106,921,1013,923,924,955,1070,1055,962,921,860,967,906,929,969,1003,1005,1153,907,1030,916,876,846,883,938,886,832,771,878,837,779,833,846,855,781,709,760,764,637,675,604,657,598,637,473,477,482,486,445,432,462,363,297,290,414,275,259,208,219,194,220,263,208,171,213,143,161,186,88,90,191]
[137,203,204,202,229,260,303,341,234,252,302,275,369,299,353,345,392,393,527,403,429,438,535,510,644,596,552,538,644,603,632,707,593,691,769,779,708,701,823,797,759,748,798,791,877,917,919,863,971,885,891,851,913,965,962,956,1044,1023,938,914,1005,1199,977,961,1053,962,943,1046,908,877,957,890,964,953,977,976,916,892,892,893,972,843,854,968,915,971,914,952,839,866,752,931,880,906,890,976,860,817,928,766,824,867,785,875,776,770,781,813,769,678,748,687,678,679,583,654,724,620,631,608,628,496,495,451,509,534,434,409,368,366,391,394,355,275,273,299,299,286,190,206,237,234,137,253,190,84,211,188,185,100]
[207,200,127,207,170,183,176,179,279,283,279,300,272,280,351,329,268,327,310,411,387,415,440,443,428,454,541,674,484,604,611,667,606,628,659,707,711,719,712,610,766,777,727,658,821,820,801,782,849,770,710,823,766,866,816,953,835,925,875,806,744,896,786,888,1072,792,892,817,831,781,835,820,905,869,999,896,893,932,766,798,855,815,915,752,832,733,756,845,877,885,897,779,813,759,782,783,832,789,823,766,771,880,750,841,728,821,789,724,687,621,697,678,622,583,612,609,630,529,584,546,485,390,532,439,462,480,424,369,375,364,385,337,382,287,348,304,278,231,211,223,226,233,209,198,233,100,72,200,96,96]
[98,185,199,234,218,146,195,246,235,226,279,336,295,285,310,350,330,332,375,306,395,350,412,398,429,407,390,427,477,480,652,580,596,667,625,645,562,621,671,627,621,799,730,646,731,771,633,636,799,780,743,681,724,837,807,780,821,819,728,702,756,766,771,835,720,811,826,1007,809,793,832,797,735,755,785,809,812,868,761,754,768,759,741,761,746,776,782,722,767,713,711,710,678,707,807,799,713,667,731,672,712,714,717,613,822,700,695,674,714,566,586,576,584,520,671,618,626,513,618,514,378,465,446,428,437,462,427,392,386,367,311,365,342,348,342,326,222,312,261,155,222,263,199,138,211,174,189,186,193,149]
[208,160,245,241,266,174,231,247,251,269,318,310,287,311,323,277,328,341,315,269,341,352,332,472,518,437,431,388,407,464,488,457,549,546,648,616,647,674,624,630,628,672,665,737,641,630,666,625,654,692,675,707,661,735,795,774,699,779,640,735,727,687,774,781,720,681,783,806,696,763,900,712,697,731,786,828,739,766,675,786,712,750,732,689,716,765,704,779,756,729,765,717,743,712,672,683,616,706,631,562,659,639,631,640,595,708,590,765,605,580,633,560,562,484,473,546,573,532,493,459,402,491,419,365,381,343,392,381,412,360,303,280,251,225,248,287,220,225,181,249,274,184,212,206,254,152,204,88,94,197]
[154,168,207,214,124,215,252,174,238,254,264,244,247,271,249,306,283,284,308,319,273,347,340,398,430,491,371,360,425,423,489,455,460,509,491,555,591,600,560,587,504,535,610,620,576,643,683,602,620,583,668,590,723,633,735,701,639,648,687,709,617,655,571,635,641,659,685,689,566,536,621,587,614,820,608,739,710,654,682,670,629,639,699,635,644,669,635,707,652,605,607,573,714,689,604,733,653,551,624,571,625,555,652,603,539,617,619,542,594,545,645,465,441,443,462,428,527,440,422,400,343,392,417,401,300,326,412,396,301,276,308,250,332,307,297,277,256,251,193,252,187,178,259,196,262,148,216,158,164,86]
[254,235,187,207,192,184,295,235,283,252,254,273,224,228,254,309,233,320,196,354,363,318,366,376,387,384,363,335,365,502,364,407,463,574,506,454,459,566,525,657,469,581,549,498,632,588,570,557,626,544,544,631,696,617,644,651,638,604,572,584,671,645,680,666,591,656,580,705,662,670,552,628,571,558,688,628,863,630,638,623,613,651,632,639,605,581,603,568,641,603,612,586,608,557,535,629,603,644,577,525,590,551,549,570,499,536,685,524,482,552,537,424,483,507,406,487,449,456,389,382,392,381,349,326,409,314,368,306,319,281,303,243,230,251,224,248,239,255,153,249,222,162,131,187,132,177,158,206,175,92]
[216,213,183,145,284,214,242,235,220,202,252,190,224,183,276,248,196,232,268,233,242,297,297,343,293,334,358,369,410,372,344,434,383,395,384,519,473,415,527,470,514,616,478,494,501,546,534,496,520,603,516,602,571,620,537,518,522,645,580,620,539,554,530,660,511,623,573,582,573,602,572,585,690,532,611,550,622,605,577,647,583,574,623,628,465,515,574,574,497,543,566,456,497,501,547,484,475,558,580,489,535,567,426,606,467,491,466,478,515,406,429,349,389,468,451,375,434,342,403,398,414,312,362,301,290,305,300,310,350,243,253,268,331,256,218,261,177,239,179,226,155,167,195,149,172,124,94,211,78,149]
[177,213,231,201,190,202,227,240,234,224,267,254,295,263,174,231,246,334,282,290,270,312,331,285,325,342,356,316,413,407,390,388,365,452,386,355,417,379,505,429,389,453,456,450,570,447,381,482,468,469,487,550,474,469,609,593,579,514,548,553,553,509,545,509,561,529,500,474,530,555,486,536,544,558,565,429,471,511,545,501,497,575,545,555,464,518,582,427,484,462,453,487,592,502,547,490,477,498,534,511,514,525,489,492,415,500,477,442,418,341,386,428,459,452,454,350,458,359,334,478,260,345,397,311,286,284,298,310,274,270,247,290,279,186,214,252,210,182,134,156,162,127,100,195,153,144,209,161,92,135]
[108,199,131,205,219,142,195,177,220,211,279,225,235,220,258,256,213,254,202,233,237,264,229,335,293,340,320,247,349,369,335,360,403,356,457,385,423,402,375,473,425,413,463,424,463,395,395,500,461,460,462,468,481,466,406,479,441,425,494,496,480,431,492,447,505,465,455,535,501,441,554,464,507,462,547,490,486,487,488,496,526,530,467,473,419,613,474,439,416,388,502,512,415,481,418,428,449,362,386,464,565,351,426,458,463,426,422,436,418,431,340,442,371,399,399,363,362,283,358,322,318,350,259,278,274,273,227,314,195,209,231,203,174,218,241,252,158,145,239,168,163,155,228,100,155,125,145,84,50,134]
[76,100,98,98,225,159,200,147,156,187,239,249,232,229,187,138,278,297,256,197,258,218,258,343,248,250,276,259,209,315,340,365,406,359,415,333,366,388,352,334,315,392,363,367,439,365,351,420,448,320,473,403,427,456,399,523,418,410,455,390,445,512,404,409,489,410,417,467,396,488,481,452,500,465,414,477,445,432,421,400,442,471,339,452,419,467,457,606,417,394,472,416,410,398,336,403,427,431,476,408,400,464,361,311,385,436,385,366,379,422,271,276,356,376,290,289,357,221,288,236,305,299,297,316,314,307,270,214,229,233,256,209,174,188,195,239,170,185,164,192,199,128,179,98,163,173,98,86,92,86]
[204,92,145,229,100,151,96,158,184,194,158,146,155,254,182,249,164,168,237,264,221,217,278,326,215,287,270,262,230,289,347,286,338,364,399,325,300,378,395,301,378,334,354,410,366,463,391,407,337,420,357,405,379,436,426,381,412,442,423,408,369,401,436,443,403,499,368,449,390,435,451,423,392,354,409,421,399,365,403,351,400,495,438,397,370,475,487,440,412,382,430,433,471,417,365,337,369,349,376,432,373,325,429,305,321,305,381,402,365,369,312,356,357,336,271,274,224,289,277,256,338,256,343,272,290,259,307,251,227,212,271,169,182,217,178,235,148,140,149,139,115,160,179,126,104,98,149,92,90,179]
[119,198,221,86,98,218,176,176,226,138,200,118,142,215,243,186,215,230,230,279,247,176,201,261,257,241,262,311,247,335,321,253,318,274,370,375,381,265,312,375,336,366,323,335,378,342,384,363,334,314,367,424,476,381,344,399,391,446,352,371,378,460,376,452,366,445,393,368,469,360,446,316,335,455,414,425,428,368,374,406,389,416,386,414,403,433,374,404,374,369,380,365,418,482,335,321,375,337,373,364,319,327,333,358,267,337,300,328,357,300,321,346,284,263,351,366,272,297,301,242,244,238,329,304,222,267,265,209,217,177,219,282,154,159,170,175,188,162,217,126,100,228,175,110,98,84,115,155,74,198]
[78,157,188,96,146,148,96,160,228,185,161,194,158,133,231,170,202,241,208,205,221,197,210,250,247,247,298,228,247,270,329,254,289,325,310,272,288,261,335,267,332,356,357,285,258,291,359,327,344,349,311,324,398,350,397,282,335,359,380,417,364,349,456,375,314,325,282,412,387,330,414,388,394,343,328,401,377,346,306,369,341,328,290,405,331,371,378,319,293,371,388,315,428,333,336,296,364,267,339,310,327,370,369,283,282,261,309,339,352,343,279,191,317,359,256,271,279,217,282,186,267,212,301,191,164,193,223,288,222,209,162,164,184,159,206,200,183,155,168,92,98,88,150,134,94,68,66,84,90,72]
[150,66,114,182,148,98,92,138,137,169,100,206,194,136,149,98,207,167,196,141,176,153,178,248,188,295,262,244,304,208,275,228,217,206,299,175,245,303,293,240,292,320,246,347,348,319,313,335,320,299,298,249,298,340,276,263,357,356,337,340,355,267,313,318,337,323,324,384,322,281,359,319,347,318,435,312,268,328,409,253,324,341,340,313,291,332,330,338,307,279,321,279,299,279,319,335,232,332,282,370,264,318,284,305,251,219,335,195,245,313,219,238,229,196,230,192,182,201,235,227,245,222,217,184,172,200,175,234,146,194,198,231,210,98,146,230,161,96,98,98,96,78,96,82,86,86,74,100,74,72]
[136,207,138,98,171,188,114,151,176,216,153,206,127,214,147,189,196,226,193,179,149,218,208,238,197,227,182,255,240,214,246,285,228,221,282,266,315,325,353,241,225,268,269,303,366,293,320,226,238,281,334,349,340,285,285,362,325,332,391,327,329,330,298,324,295,317,307,278,276,324,313,269,271,384,267,310,263,359,267,341,314,339,317,353,351,308,274,276,317,236,358,352,237,313,295,340,296,310,299,310,333,296,288,247,299,222,259,303,256,229,289,246,281,233,302,206,188,249,294,246,187,252,251,250,248,173,143,150,182,185,219,173,154,94,210,146,115,181,140,120,154,84,155,204,74,74,92,78,64,74]

{"sheet":"Figure_1D_layer_13","index":13,"n_rows":150,"n_cols":150,"rows_kept":150}
[54,56,64,60,48,54,66,62,50,34,52,76,52,68,52,60,62,82,84,92,96,86,177,167,166,78,166,177,187,256,176,161,202,123,216,218,150,211,242,209,234,180,163,212,209,160,197,149,250,204,215,188,224,141,185,211,161,169,184,177,155,233,152,151,202,244,179,171,245,211,207,166,144,252,164,259,169,230,240,193,229,159,158,92,237,204,238,228,188,147,190,181,216,210,235,191,159,195,171,181,212,169,177,217,228,230,214,203,140,100,227,174,139,195,164,123,122,86,82,90,94,64,164,92,74,74,94,78,68,76,74,70,78,36,62,52,40,62,48,26,62,58,56,48,54,66,38,52,40,62]
[40,52,50,86,38,56,52,62,64,76,60,68,42,88,163,78,66,86,206,156,149,213,222,170,233,155,184,215,250,168,218,208,209,195,218,213,271,181,182,183,171,231,192,219,213,166,180,182,262,170,185,194,167,186,206,234,287,280,280,268,208,232,182,231,287,282,195,233,211,176,202,229,223,258,253,211,269,244,250,217,266,239,253,195,207,252,197,262,252,219,256,320,260,213,284,242,203,182,217,199,273,197,230,231,242,200,222,234,216,179,233,192,196,234,239,98,166,162,188,123,197,84,86,148,78,100,92,62,76,72,50,68,60,50,60,44,34,38,56,42,32,44,58,36,50,46,54,44,32,48]
[52,64,52,54,54,58,66,52,58,44,56,66,66,56,84,90,80,98,153,184,173,88,271,241,144,140,211,189,242,201,213,242,272,213,201,219,281,284,270,231,194,265,247,230,263,281,206,275,189,206,268,218,256,208,251,262,246,250,250,246,305,258,235,314,315,246,274,233,314,207,343,213,261,246,248,280,258,233,304,224,286,248,263,195,257,337,294,217,241,282,217,245,234,294,208,264,222,320,241,162,276,189,302,250,281,290,189,216,193,257,225,169,189,160,159,200,141,221,196,124,208,151,149,108,179,100,90,84,74,64,66,60,86,42,34,50,48,28,50,32,48,42,66,62,48,40,38,58,60,34]
[48,68,76,54,70,72,64,76,66,60,78,88,94,96,84,100,198,214,219,196,165,219,215,230,211,241,184,243,340,313,243,296,262,290,234,326,309,312,311,304,252,287,245,256,323,278,262,223,319,279,238,342,318,269,299,302,331,264,286,317,321,310,275,349,280,314,305,246,266,241,285,294,276,323,300,326,383,299,297,302,247,249,233,264,345,344,285,349,359,240,256,371,300,364,309,304,275,288,261,246,300,277,244,297,243,237,303,283,273,237,269,249,238,273,216,228,190,240,228,201,212,151,218,90,155,82,162,120,64,98,86,80,62,72,70,54,48,56,40,58,48,50,40,54,64,38,52,40,40,46]
[66,76,70,62,58,68,74,76,84,177,70,96,72,185,182,209,187,210,151,197,276,256,204,206,298,193,307,268,164,199,278,320,346,289,298,365,324,277,394,335,294,245,272,317,315,328,314,335,264,252,304,275,264,300,325,324,349,257,326,365,310,300,353,415,341,309,273,355,369,311,357,280,356,336,317,364,264,289,321,351,318,400,289,360,333,349,299,322,309,306,321,296,369,259,277,314,379,279,278,299,281,343,294,278,235,260,300,333,325,306,230,332,298,291,288,282,272,224,199,220,274,206,214,194,171,98,168,84,88,78,76,76,78,62,70,50,52,46,52,40,46,52,44,42,68,46,50,36,42,52]
[64,36,42,68,82,92,96,82,98,88,96,82,100,187,155,149,165,251,243,146,248,253,261,216,259,286,288,263,289,349,252,338,287,292,359,343,362,360,300,345,392,408,290,345,346,343,381,332,411,421,344,298,301,308,342,342,367,314,341,428,349,384,403,363,346,371,462,391,320,401,363,410,307,373,425,356,395,443,446,368,318,379,362,429,298,351,311,325,410,360,311,354,384,393,411,385,324,318,283,407,331,338,358,343,323,341,359,290,335,269,348,280,293,237,301,248,233,264,237,249,165,248,144,210,180,204,176,214,125,70,84,86,88,92,68,66,56,64,48,46,66,44,56,48,54,56,44,48,40,22]
[64,74,88,60,54,68,103,90,92,134,76,201,253,156,163,241,224,270,274,258,237,328,303,266,320,283,389,346,332,316,366,398,378,312,376,388,451,336,441,332,370,423,410,364,406,358,350,361,447,340,442,411,417,410,413,367,340,364,406,424,402,458,388,429,379,418,419,335,394,391,466,359,386,367,462,398,465,404,389,423,369,487,407,434,417,371,379,371,359,417,399,490,368,369,387,491,377,436,402,438,402,317,409,414,341,323,356,316,343,359,378,336,299,296,351,252,275,294,243,228,228,260,258,147,204,151,222,151,90,96,84,76,80,84,58,54,48,66,60,48,50,48,64,50,42,44,56,54,50,54]
[72,76,80,60,78,62,92,80,94,186,210,208,158,207,236,252,251,306,354,211,279,301,292,278,332,280,359,360,331,449,417,395,368,448,441,394,518,456,446,453,477,454,449,360,499,452,393,397,457,440,544,434,420,482,442,405,411,473,429,444,391,432,462,474,483,473,422,512,513,464,363,473,417,438,502,454,406,513,469,412,516,493,501,476,391,514,446,555,432,454,489,447,388,435,472,430,413,385,489,458,409,351,382,448,464,335,397,346,368,338,382,306,271,356,307,276,295,327,305,314,197,241,196,141,303,167,172,141,88,180,190,48,88,76,64,90,56,90,74,62,50,54,44,52,48,48,54,46,32,52]
[74,90,66,84,60,76,205,80,180,127,169,149,137,178,195,252,237,373,262,321,304,375,405,359,373,381,432,394,418,361,402,457,489,493,417,549,490,501,388,439,467,526,494,459,502,463,418,515,473,421,480,477,419,602,542,550,512,495,434,529,523,526,463,540,596,593,594,538,506,475,562,497,477,498,511,479,510,520,485,515,468,473,492,469,531,586,523,520,500,541,640,443,494,499,521,557,471,481,403,542,513,416,416,559,522,486,498,450,432,397,392,445,386,388,414,383,268,251,234,275,238,198,255,181,263,184,190,208,166,151,100,150,70,54,74,74,60,52,52,62,56,46,62,58,40,62,34,58,30,42]
[80,86,84,137,98,223,183,172,156,203,197,262,185,282,331,295,280,328,343,335,320,321,311,376,449,405,393,502,410,466,611,460,443,468,478,474,542,547,520,516,506,511,464,556,470,508,607,676,535,481,543,484,459,534,562,448,498,559,616,608,656,607,559,553,531,631,543,621,643,571,594,577,540,504,535,563,531,526,581,593,573,553,659,569,536,632,510,604,534,559,537,481,590,612,542,593,539,489,578,440,604,534,551,488,557,579,511,453,423,381,398,454,505,361,352,426,397,354,385,328,270,283,272,230,209,217,199,153,182,188,156,80,148,100,129,62,40,70,64,50,56,52,64,50,58,52,38,42,62,66]
[74,84,64,98,157,128,165,135,179,183,274,287,275,320,284,342,300,353,358,316,351,314,406,449,449,401,486,537,539,543,490,595,581,599,744,628,579,636,598,563,547,571,598,601,610,599,667,563,619,625,629,621,582,570,669,673,596,570,626,645,640,591,727,620,660,595,628,672,714,558,633,712,610,599,629,590,693,699,698,599,693,592,691,548,638,645,622,634,559,617,598,729,621,608,611,639,551,688,595,679,580,533,528,640,617,571,601,474,638,577,479,428,512,487,403,432,345,380,353,273,383,324,293,279,302,238,254,173,141,94,178,146,82,84,78,52,62,52,64,42,50,58,56,46,44,48,50,56,34,66]
[84,96,165,147,171,168,100,222,172,244,268,299,258,250,333,295,342,351,409,424,424,486,505,558,518,608,594,638,549,603,596,612,563,585,657,744,835,708,642,654,670,618,598,779,670,700,741,638,659,703,635,617,713,703,600,769,742,650,705,624,756,668,664,732,690,810,801,729,758,791,672,707,686,744,890,644,735,749,697,783,712,675,701,665,775,716,695,709,695,771,654,704,661,685,665,689,683,735,667,744,673,595,638,680,679,683,641,647,554,631,456,542,587,488,550,499,448,485,399,364,367,369,341,356,308,231,159,260,197,204,167,92,86,86,88,84,70,58,56,60,46,62,46,64,56,34,64,74,56,40]
[66,185,183,196,179,128,236,262,180,264,279,301,279,281,381,397,480,383,402,435,514,538,508,659,535,658,593,677,612,708,659,670,631,770,716,742,690,668,768,787,734,737,808,674,778,826,686,698,696,785,745,779,793,706,731,845,754,735,809,825,727,784,710,762,905,901,775,839,776,780,703,757,892,925,863,834,720,963,826,703,862,792,737,777,845,863,842,721,710,682,838,724,798,817,876,722,829,760,718,692,694,760,714,702,681,711,764,672,602,555,587,546,527,560,670,543,441,373,352,398,398,266,358,380,355,305,280,244,264,257,163,187,164,113,126,68,74,42,70,62,58,62,48,56,56,48,44,70,44,62]
[88,104,161,144,127,223,243,178,238,268,231,350,319,343,385,417,507,434,523,556,514,619,623,681,674,647,719,618,726,752,814,870,855,898,805,880,807,824,765,821,891,909,879,925,904,862,903,824,802,946,872,914,956,873,933,901,788,803,780,837,850,835,889,788,877,910,852,895,836,852,890,970,947,894,885,852,916,830,914,909,1083,911,939,919,977,769,936,771,926,875,907,867,844,956,811,951,841,895,803,838,795,805,741,903,711,840,791,722,655,618,660,628,614,649,592,478,457,568,466,450,423,376,299,309,350,266,257,210,182,203,235,122,107,92,137,80,70,80,58,86,96,52,46,62,58,48,58,46,48,46]
[191,217,130,139,197,141,253,213,333,291,304,311,346,397,426,443,433,474,543,606,603,631,652,652,639,744,691,784,812,837,770,824,892,931,833,744,936,859,847,808,857,853,905,858,911,1039,965,866,811,883,920,927,920,988,1007,941,990,927,986,934,950,1029,973,991,982,1066,991,1038,943,937,939,920,1064,978,895,939,946,1025,1022,933,957,960,938,1172,969,975,927,1086,1009,890,895,947,1002,943,929,886,875,943,855,951,841,941,916,809,830,785,847,753,761,757,723,716,681,649,622,553,538,547,541,453,493,399,373,378,363,256,335,262,255,283,199,150,218,133,80,88,74,127,76,68,56,50,56,68,26,58,36,70,54,56]
[180,134,186,135,215,234,188,322,299,308,332,409,349,406,483,492,498,569,525,633,658,745,735,777,718,793,855,945,851,957,907,947,923,886,1011,1020,1049,965,971,952,938,1056,1095,1038,1003,1033,994,1053,1259,1020,977,1000,1040,1039,1089,1071,1050,1059,1019,1035,1010,1035,1062,1066,995,1030,1016,978,1025,988,1135,1131,1038,1075,1094,1063,993,1031,1091,1036,941,1109,1061,1030,997,1137,1228,1130,1128,1092,1120,1114,956,1079,1065,1101,1099,1020,1042,956,929,1027,957,941,952,927,950,943,816,862,846,718,746,772,685,628,595,606,535,551,462,423,414,438,351,353,334,333,181,300,243,209,94,240,174,86,94,100,80,84,66,96,56,62,52,42,50,66,34,34]
[140,96,207,196,194,299,265,347,199,351,417,344,449,436,497,512,573,512,633,768,727,749,854,833,849,803,939,919,844,921,949,1020,1029,944,1062,1068,970,1136,961,1061,1022,1064,1196,1061,1028,1050,1129,1119,1074,1171,1051,1283,1087,1118,1060,1226,1045,1128,1150,1123,1219,1076,1231,1164,1170,1157,1109,1187,1082,1200,1114,1188,1146,1049,1199,1214,1136,1219,1149,1173,1138,1244,1164,1244,1199,1286,1194,1052,1154,1510,1166,1221,1117,1195,1168,1224,1142,1043,1024,1070,1148,1074,1086,1031,1099,1017,1014,975,830,926,890,864,813,775,816,707,726,674,612,532,593,452,395,388,488,399,388,278,267,227,252,157,216,156,144,181,90,200,64,72,62,80,72,58,60,74,52,54,50,42]
[80,208,100,127,241,295,293,321,329,302,353,489,409,520,556,569,644,559,799,816,793,918,859,840,923,1010,923,967,936,927,1013,1109,1102,1120,1122,1212,1165,1078,1084,1185,1098,1144,1132,1162,1209,1164,1256,1109,1153,1127,1266,1205,1349,1216,1317,1515,1223,1154,1170,1255,1319,1214,1341,1185,1264,1370,1244,1234,1209,1283,1286,1308,1330,1410,1244,1374,1376,1161,1321,1339,1307,1309,1295,1284,1301,1332,1281,1288,1243,1292,1233,1375,1627,1282,1370,1284,1241,1174,1222,1220,1316,1157,1198,1238,1182,1179,1077,893,1073,1031,923,974,884,887,915,800,692,732,676,647,583,556,461,458,499,436,353,274,307,272,256,183,181,166,225,117,90,98,64,90,82,98,66,76,72,58,78,44,64,74]
[222,184,255,248,208,258,244,234,272,387,449,460,467,565,568,640,685,715,752,812,857,1045,991,975,1122,1091,1091,1042,1100,1100,1172,1188,1270,1308,1173,1303,1272,1154,1222,1295,1278,1376,1324,1307,1209,1257,1310,1367,1285,1344,1371,1274,1326,1391,1404,1481,1385,1407,1589,1429,1307,1513,1400,1369,1434,1390,1467,1432,1364,1381,1516,1362,1504,1603,1551,1439,1362,1468,1339,1530,1399,1455,1457,1546,1472,1586,1484,1323,1443,1386,1482,1478,1462,1320,1446,1738,1350,1390,1443,1396,1340,1286,1311,1252,1196,1322,1189,1251,1144,1073,1122,991,983,997,957,882,757,881,667,607,660,595,478,500,347,408,338,377,313,267,264,260,207,205,198,148,195,82,90,84,76,84,68,76,60,66,80,62,66,38]
[128,214,245,252,200,292,280,228,390,435,398,489,575,516,620,699,782,798,835,909,858,1008,1112,1105,1162,1136,1080,1285,1305,1275,1190,1300,1209,1325,1496,1373,1317,1296,1335,1415,1366,1526,1587,1551,1466,1560,1498,1520,1451,1571,1447,1498,1496,1521,1496,1434,1598,1489,1510,1584,1640,1842,1628,1589,1599,1549,1640,1538,1499,1451,1503,1565,1543,1622,1576,1544,1613,1498,1604,1570,1458,1678,1560,1599,1588,1677,1472,1580,1522,1641,1630,1620,1573,1743,1539,1589,1596,1484,1497,1711,1551,1519,1378,1498,1379,1401,1366,1317,1233,1256,1250,1193,1109,1121,992,999,992,743,822,755,701,608,598,434,464,413,407,324,292,293,286,226,199,226,189,139,258,86,151,90,80,98,60,82,56,68,68,56,62,46]
[188,271,237,251,251,310,320,300,356,343,392,552,523,585,654,713,815,854,1025,996,1105,1135,1141,1175,1320,1389,1517,1401,1357,1546,1487,1599,1550,1587,1448,1550,1601,1494,1568,1595,1612,1522,1606,1524,1681,1612,1659,1633,1592,1572,1739,1639,1661,1674,1690,1706,1691,1735,1676,1726,1723,1804,1657,1689,2001,1823,1815,1799,1660,1826,1786,1827,1894,1770,1801,1889,1784,1773,1842,1760,1689,1907,1796,1591,1871,1840,1924,1770,1766,1716,1793,1750,1840,1814,1791,1754,1895,1603,1633,1594,1770,1868,1533,1625,1598,1596,1569,1465,1432,1336,1472,1282,1228,1184,1157,1061,1028,885,766,842,813,660,593,558,468,514,360,329,288,366,283,242,179,168,184,197,200,189,142,90,98,88,96,86,62,76,90,68,62,72]
[235,219,285,280,281,281,258,298,388,397,520,548,520,623,660,780,827,928,958,1037,1146,1191,1229,1359,1345,1513,1541,1441,1447,1866,1645,1674,1770,1774,1678,1734,1719,1669,1625,1787,1795,1863,1719,1715,1742,1768,1709,1677,1813,1729,1769,1843,1871,1775,1771,1767,1843,1773,1899,1787,1862,1881,1998,1835,1963,1809,2244,1913,1846,1933,2072,1857,1936,1979,1918,2007,2075,2067,1969,1959,2115,2050,2001,1930,2008,2001,2114,2084,2122,1942,1813,2111,2046,2043,2031,1941,1964,1873,1820,1694,1872,1765,1788,1899,2303,1809,1675,1531,1567,1591,1623,1463,1387,1379,1283,1143,1056,901,950,875,739,798,638,599,576,551,481,436,387,294,289,266,261,183,146,208,253,191,195,70,154,98,72,94,82,74,74,60,78,68]
[205,230,216,318,296,287,344,335,487,461,516,564,636,624,773,920,928,936,1074,1254,1214,1443,1299,1374,1573,1573,1483,1618,1707,1697,1670,1765,1811,1844,1767,1822,1857,1734,1793,1891,1822,1895,1908,1887,1816,1963,1847,1908,2337,2018,2137,2067,2014,1987,2043,2185,2007,2000,2007,1896,2068,1980,1991,2112,2084,2091,2123,2046,2052,2208,2259,2294,2139,2156,2143,2103,2175,2118,2193,2178,2268,2156,2247,2221,2155,2648,2173,2145,2145,2099,2218,2087,2229,2189,2152,2135,2220,2319,2022,1956,1956,2121,1977,2074,1890,1975,1822,1727,1818,1797,1712,1582,1528,1624,1435,1331,1282,1051,1174,982,893,799,902,622,652,517,475,399,375,380,360,292,225,296,274,235,160,181,149,149,197,84,94,98,54,60,48,82,54,72]
[277,249,263,300,246,367,391,348,369,454,525,609,656,721,975,992,999,1162,1291,1224,1568,1472,1602,1618,1624,1572,1609,1747,1824,1852,1880,1967,2020,2061,1867,1852,1919,1795,1874,2019,2067,2107,2111,2088,2164,2118,2109,2096,2117,2195,2200,2573,2369,2197,2328,2240,2235,2283,2152,2266,2144,2227,2331,2283,2282,2243,2211,2244,2139,2272,2345,2310,2446,2505,2344,2498,2383,2462,2288,2469,2447,2435,2421,2290,2509,2454,2275,2261,2946,2423,2543,2376,2440,2384,2380,2282,2441,2305,2245,2336,2461,2326,2097,2105,2152,2046,2105,1979,1831,1886,1733,1854,1688,1612,1507,1410,1245,1226,1196,1080,955,904,765,695,657,599,633,436,445,373,301,337,303,234,260,254,224,157,184,167,162,170,192,76,179,48,88,72,70,62]
[294,271,186,284,276,292,399,411,444,465,514,626,669,808,796,991,1288,1189,1267,1480,1539,1689,1738,1867,1938,1781,1910,1913,1944,1956,2060,2137,2186,2142,2240,2168,2038,2080,2037,2207,2121,2304,2302,2276,2286,2253,2257,2211,2313,2395,2447,2457,2572,2437,2931,2401,2510,2402,2398,2325,2450,2515,2573,2407,2583,2433,2429,2548,2516,2675,2550,2801,2780,2701,2683,2613,2505,2559,2482,2511,2693,2665,2660,2695,2641,2448,2674,2574,2615,2664,2612,3264,2839,2785,2531,2406,2695,2600,2521,2464,2515,2649,2578,2450,2299,2205,2064,2236,2081,2096,2161,1964,1885,1707,1698,1651,1446,1293,1235,1034,986,849,835,611,717,649,593,508,577,395,379,328,287,330,251,283,188,160,190,115,114,203,100,90,80,82,62,78,72,98]
[199,254,225,311,274,376,385,430,480,549,528,619,716,766,864,971,1033,1269,1281,1974,1738,1831,2074,2086,2054,1970,2067,2055,2151,2417,2306,2393,2494,2535,2297,2234,2339,2352,2329,2382,2569,2351,2707,2574,2575,2286,2447,2491,2323,2757,2657,2798,2956,2961,2676,2669,2491,3153,2545,2768,2597,2830,2723,2707,2915,2699,2727,2607,2899,2825,2941,3046,3180,3098,2912,2702,2739,2615,2601,2861,2736,2989,2823,2914,2883,2848,2719,2768,2705,2959,2698,2998,2979,3008,3352,2756,2747,2672,2712,2692,2824,2895,2780,2658,2666,2408,2395,2423,2259,2367,2294,2125,2123,2065,1819,1677,1455,1278,1298,1168,1029,949,865,821,683,682,623,546,512,370,354,435,305,275,256,262,242,197,170,180,212,92,74,182,126,122,74,82,171,96]
[260,204,328,344,311,323,410,461,434,493,627,739,781,756,975,1102,1183,1173,1453,1677,1865,2252,2759,2494,2241,2401,2247,2389,2450,2550,2609,2784,2837,2832,2708,2454,2484,2364,2541,2686,2702,2874,3054,2973,2950,2629,2576,2725,2669,2844,2925,3311,3452,3283,3106,3057,3003,2848,2896,2910,3603,3287,3381,3152,3334,3224,2926,2878,2860,3166,3363,3576,3675,3660,3413,3186,2984,2891,2971,3190,3192,3427,3428,3466,3282,3225,2952,2876,2953,3141,3339,3503,3528,3310,3266,3107,2968,3414,3018,2943,3372,3400,3246,3210,3018,2844,2787,2546,2523,2714,2558,2680,2620,2395,2106,1910,1707,1543,1436,1267,1245,1028,867,885,772,730,674,594,591,405,522,349,300,336,368,322,287,284,210,156,244,179,158,144,147,84,100,82,90,86]
[212,259,310,350,355,400,381,504,554,476,713,652,838,840,895,1116,1309,1301,1500,1891,2178,2929,2449,2763,2712,2540,2846,2442,2472,2599,2787,2943,3266,3151,2834,2774,2680,2803,2678,2881,2902,3289,3509,3363,3218,2964,2756,2763,2990,3108,3462,3626,3947,3743,3640,3302,3069,2900,2966,3048,3449,3713,3921,4312,3511,3261,3097,2983,3082,3288,3721,3919,4307,3996,3902,3508,3164,3178,3184,3339,3567,3701,3842,3698,3331,3392,3030,3067,3056,3243,3602,3755,3804,3696,3383,3002,3023,2971,3070,3109,4224,3844,3903,3591,3506,3002,2953,2791,2675,2917,3000,3251,3280,2954,2640,1961,1940,1593,1460,1329,1191,1163,985,916,886,751,629,609,593,517,472,433,321,285,334,280,245,258,227,159,143,156,167,117,94,100,74,82,74,62]
[256,280,262,256,427,341,385,535,466,566,767,678,865,911,1010,1108,1272,1621,1790,2039,2654,3016,3545,3720,3400,3067,2615,2737,2692,3468,3105,3476,3844,3817,3472,3229,2879,2728,2989,3192,3756,4196,4372,4058,3923,3437,2972,3011,3160,3440,4020,4576,4995,4772,4472,3718,3401,3224,3267,3578,3868,4489,4734,4747,4452,3806,4024,3351,3437,3451,4164,4966,5223,5059,4701,3799,3506,3202,3325,3692,4088,4417,4515,4549,4085,3580,3230,3223,3348,3661,4148,4316,4652,4450,4138,3594,3401,3445,3384,3561,3862,4281,4514,5507,3900,3354,3130,2917,3046,3132,3548,3932,3901,3424,2890,2531,2178,1828,1716,1404,1154,1162,1115,915,866,816,683,624,525,520,456,385,326,347,350,283,261,312,228,192,161,191,185,207,171,78,76,107,68,94]
[183,211,357,371,390,447,469,434,495,530,640,727,779,961,1009,1156,1372,1479,2000,2276,3138,4043,5033,5601,4584,3869,3453,3245,2987,3557,3872,4246,6252,4995,4526,3845,3561,3412,3427,3632,4260,5269,6160,5812,4654,4354,3744,3735,3689,4187,4847,5797,6715,6460,5557,4907,4297,3944,4026,4253,4738,5733,7033,6492,5544,4904,4232,3929,3981,5435,5258,6304,7358,6871,5991,5193,4247,3890,3851,4124,4659,5626,6494,5619,5004,4419,3799,3579,3581,4028,4482,5511,6138,5815,4995,4361,3950,3846,4017,4202,4674,5794,6609,6182,5181,4651,4611,3357,3534,3640,4299,5271,5917,5195,4262,3476,2712,2314,1838,1498,1482,1214,1100,1144,894,845,684,701,607,570,504,462,441,298,302,267,287,303,227,167,261,165,145,162,205,182,161,92,82,68]
[278,283,374,367,381,419,352,535,551,701,692,714,869,979,1074,1214,1460,1628,2208,2454,3775,5050,7962,8759,6734,5088,4372,3651,3452,3631,4399,5778,8045,7438,7262,4716,4204,3735,3466,4450,5273,7284,8943,8040,6001,5469,4643,3880,4341,4781,5662,7706,10303,9817,7634,6010,5218,4402,4197,4656,5698,7355,9978,9692,7804,6076,5016,4434,4500,4819,5907,7619,12504,9922,7177,6187,5271,4444,4209,4773,5650,7451,9351,8183,6842,5191,4478,4160,4079,4480,5503,7121,9051,8340,7061,5289,4774,3954,4231,4552,5430,7510,9256,8537,6717,5358,4458,3812,3720,5071,5193,7079,8294,7207,5269,4420,3504,2485,2023,1720,1508,1343,1197,988,1024,895,752,676,670,518,376,512,417,344,386,261,311,262,233,183,191,204,176,173,166,241,207,86,199,74]
[270,264,421,396,384,371,443,482,537,665,686,742,918,989,1108,1326,1460,1713,2171,2638,3433,4713,7904,9350,7525,5325,4601,3803,3551,3583,4467,5611,8716,8835,7136,5285,4654,3723,4308,4134,5076,6709,9440,10026,7379,5605,5024,4092,4297,4496,5463,7740,11275,11639,8957,6405,5711,4763,4418,4635,5473,7667,10760,11597,8502,6327,5469,4444,4473,4745,5746,7677,11529,11997,8475,7920,5295,4677,4461,4672,5597,7279,10594,10089,7432,6038,4982,4301,3973,4602,5546,6879,10094,9627,7199,5665,4672,4065,4325,4703,5494,7849,10373,10504,7870,5624,4994,3935,3826,3995,4770,7308,11630,8250,5699,4635,3580,2762,2288,1792,1466,1411,1207,1066,889,851,810,711,615,495,519,411,381,363,400,353,302,310,273,255,267,172,205,181,177,98,98,98,80,94]
[211,306,337,316,406,463,439,472,594,625,764,768,975,1071,1214,1340,1456,1673,1926,2366,2999,3678,6028,7306,6472,4761,4062,3681,3347,3358,3652,4752,6301,7379,6155,5136,4354,3956,3525,3777,4239,5352,6888,8406,6918,5366,4529,4196,4242,3978,5855,6220,8315,9423,7902,6080,5280,4524,4349,4345,4931,6366,8390,9262,7969,5749,5159,4541,4128,4605,5298,6286,8773,9224,7994,6215,5287,4506,4303,4292,4838,5649,7600,8384,7200,5706,4966,5277,4105,4390,4965,5825,7511,8438,6856,5279,4766,3958,3941,4288,4943,5907,8171,8960,6920,5305,4629,3861,3808,3706,4196,5253,7386,8009,6001,4479,3767,3143,2418,1933,1602,1441,1218,1109,1154,886,789,761,642,568,456,461,462,339,367,373,283,317,186,188,293,151,211,214,150,109,182,180,86,76]
[309,292,288,409,304,374,464,561,670,663,748,903,949,1014,1103,1518,1572,1680,2012,2299,2757,3527,4222,5234,4641,4395,3760,3445,3432,3337,3523,4289,5079,5500,4968,4522,3838,3597,3589,3553,3943,4695,5894,6302,5707,4945,4551,4128,3766,3900,4270,5020,6196,8248,6114,5463,4673,4479,4113,4202,4609,5310,6327,6743,6281,5172,4972,4450,4169,4057,4800,5636,6807,7215,6484,5468,4937,4546,4262,4006,4411,5230,5891,6247,5778,5296,4337,4198,3952,3943,4987,5160,6051,6076,5255,4892,4232,3925,3891,3912,4224,4893,6494,6350,5736,4846,4190,3762,3299,3529,3634,4354,5290,5621,4755,3925,3351,2847,2244,1954,1758,1434,1192,1107,1024,902,818,923,632,516,551,584,408,368,375,314,233,308,317,309,199,164,228,146,116,159,179,90,139,88]
[306,327,367,360,404,446,580,562,571,646,700,865,982,1023,1148,1405,1417,1719,2117,2642,2643,3071,3586,3739,3902,3532,3390,3346,3345,3263,3545,3777,4198,4431,4558,4256,3588,3523,3443,3448,3813,4178,4599,4863,4793,4432,3876,3992,3766,3751,4071,4366,5012,5321,5086,4690,5023,4169,3949,3993,4472,4630,5090,5573,5241,4716,4273,4110,4083,3992,4550,4771,5546,5782,5209,4804,4170,4355,3981,4078,4165,4612,5064,5271,4881,4716,4211,4150,4183,3949,4209,4217,4868,6163,4990,4396,4043,3709,3664,3816,4027,4520,4939,5275,5069,4179,3872,3658,3332,3242,3373,3816,4219,4455,4025,3463,2994,2636,2132,1831,1613,1339,1267,1108,1007,972,825,751,749,596,505,581,491,425,409,343,298,363,201,196,200,280,205,239,188,234,86,84,86,86]
[311,330,368,439,482,450,636,584,670,780,863,993,1145,1088,1379,1546,1665,1966,2213,2352,3144,3152,3495,3401,3267,3173,3342,3385,3583,3932,3645,3999,4016,4128,3860,3754,3645,3538,3821,3859,4014,4396,4310,4403,4099,3880,4073,3975,4051,4292,4133,4343,5114,4495,4714,4032,4337,4034,5181,4604,4211,4991,4697,4943,4482,4199,4318,4212,4371,4396,4614,5002,5300,4897,4781,4507,4326,4321,4168,4246,4687,4646,4895,4820,4616,4476,4404,4373,4483,4261,4396,4678,4717,4841,4483,4555,4263,4238,3973,4408,4156,4539,4717,4501,4219,4088,3790,3369,3475,3412,3568,3715,3801,3489,3056,2741,2458,2196,2014,1699,1528,1320,1311,1156,957,825,823,819,767,714,590,555,526,365,401,350,378,317,276,228,246,211,242,207,161,168,94,98,98,86]
[337,381,466,509,440,571,631,623,742,895,962,1081,1136,1354,1484,1667,1911,2157,2524,2651,3169,4124,3465,3316,3336,3369,3408,3490,3771,3918,3877,4241,4135,3686,3679,3840,3676,3665,3781,3891,4178,4349,4224,4213,3977,4058,3904,3898,4103,4096,4424,4363,4466,4529,4352,4103,4298,4239,5143,4608,4771,4902,4664,4429,4345,4121,4372,4326,4327,4840,4916,4975,4823,4624,4523,4423,4499,4464,4526,4867,5093,5165,4902,4572,4329,4496,4465,4273,4573,4599,4854,4857,4664,4624,4245,4082,4901,4244,4132,4293,4441,4552,4330,3870,3780,3804,3663,3441,3378,3507,3664,3481,3410,2978,2766,2275,2057,1991,1657,1518,1288,1306,1179,1032,999,826,745,638,593,568,468,466,491,466,362,292,257,296,277,300,248,216,191,225,129,143,124,100,90,80]
[311,395,371,349,400,473,534,609,701,818,793,1019,1008,1163,1332,1578,1703,2010,2162,2449,2814,3436,3614,3635,4285,3345,3482,3470,3618,3838,4194,4312,4486,4215,4119,3813,3716,3798,3878,3782,4053,4501,4594,4772,4381,4211,4067,3933,3983,4234,4405,4568,4763,4914,4617,4276,4051,4239,4223,4299,4488,5893,5316,5110,4663,4490,4214,4278,4539,4566,5003,5488,5843,5596,5033,4868,4763,4721,4721,4690,5184,5591,5600,5422,5325,4665,4547,4828,4788,4733,4823,5134,5459,5491,4994,4529,4291,4440,4472,5269,4470,4820,4946,4694,4579,4222,3841,3758,3949,3695,3849,4131,4093,3770,3296,2904,2355,2372,2203,1881,1638,1484,1497,1260,1156,1120,932,883,836,636,602,523,583,437,390,395,369,374,337,342,284,207,183,230,183,225,186,178,161,72]
[386,323,431,428,486,573,530,635,661,802,860,1005,1175,1132,1466,1511,1846,2039,2374,2911,3246,3999,4324,4505,4192,3913,3533,4332,3732,3959,4410,4823,5061,4852,4674,4189,3962,3946,4072,3981,4523,4983,5266,5228,4836,4458,4082,4076,4289,4330,4788,5019,5226,5454,5000,4651,4225,4384,4408,4419,4902,5405,5704,5600,6137,4503,4181,4454,4561,5058,5519,6127,6723,6311,5764,5062,4935,4911,4616,5124,5574,6274,6863,6503,5866,5276,5073,4969,4881,4988,5384,5876,5960,6052,5602,4728,4633,4537,4573,4742,5027,6430,5748,5488,5102,4314,4092,4076,3982,4237,4420,4617,4638,4139,3765,2956,2444,2500,2199,1901,1798,1629,1545,1353,1229,1139,1023,905,811,678,550,533,551,506,330,377,382,387,378,316,294,219,265,206,208,140,127,174,74,66]
[411,394,384,385,471,496,572,608,742,770,927,1005,1156,1241,1574,1644,1763,2047,2482,3215,4132,5099,6442,6280,5603,4850,4472,4112,4102,4431,5992,6409,7328,7051,5744,5115,4869,4387,4345,4557,5211,6155,6812,6852,5758,5164,4825,4450,4616,4656,5259,6206,6825,6784,5763,5141,4844,4830,4715,5163,5766,6256,7201,6663,6072,5450,4883,5734,5088,5431,6491,7740,8758,8323,6935,6013,5539,5562,5430,6021,6642,7724,8983,8157,6751,6072,5612,5293,5192,5559,5888,6964,7948,7248,6486,5559,5063,5034,4784,5227,5900,6500,7336,6684,6877,5166,4649,4398,4306,4464,5023,5690,6090,5424,4115,3530,3202,2646,2155,1996,1700,1685,1479,1327,1189,1159,994,930,792,741,670,524,527,405,439,321,339,306,327,245,342,269,264,212,200,247,188,209,130,166]
[349,328,350,438,499,521,615,641,680,794,931,1018,1146,1194,1446,1523,1857,2088,2536,3467,4351,6262,8657,9204,7430,5612,5257,4627,4374,4649,5388,7078,11140,9188,7519,5903,5110,4683,4661,4796,5457,7090,9193,9169,7498,6211,5341,4886,4655,4856,5980,7229,9154,8905,7575,6024,5477,4839,4915,5289,6323,7635,9476,8964,7530,6247,5536,5017,5188,5979,8439,9328,11454,10692,8294,7053,6374,5648,5619,6035,6907,8686,11156,10678,8399,7202,6105,5554,5544,6073,6726,8250,10269,9741,7893,6873,5875,5347,5232,5645,6182,8085,9825,9817,7214,5952,5328,5548,4402,4854,5434,7194,8486,7429,5415,4225,3605,2803,2320,2011,1775,1595,1483,1388,1302,1164,1044,898,929,798,622,694,558,481,446,365,400,348,300,345,248,292,185,264,250,245,213,229,157,161]
[414,382,425,461,472,573,647,647,749,813,928,1035,1027,1303,1361,1561,1831,2161,2634,3333,4244,6140,9690,10685,8108,6008,5164,4634,4355,4792,5424,7174,10561,11270,8773,6687,6457,4841,4610,4841,5580,7186,10286,10381,8225,6381,5676,4996,4702,5018,6053,7372,10132,10383,7994,6219,5360,4974,4983,5325,6396,7461,10570,10926,8147,6730,6048,5351,5302,5955,6701,9481,12734,15309,9194,7733,6350,5591,5644,6251,7086,9657,13268,13004,9066,7902,6650,5963,5777,5908,7133,8655,11669,11362,8501,7147,5976,5353,5244,5732,6558,8412,11678,11069,7978,6442,5510,4638,4511,4695,5306,8834,10017,9044,6098,4799,3887,2922,2520,1961,1796,1508,1504,1363,1314,1120,1023,953,850,773,678,616,596,529,415,415,295,470,302,354,202,279,333,216,238,214,212,179,175,129]
[374,376,480,508,533,543,659,680,786,801,1000,1141,1240,1381,1448,1675,1865,2255,2639,3206,3865,5046,6930,8512,6931,5528,4726,4275,4158,4438,4832,5898,8266,8960,7288,5874,5165,4604,4330,5368,5153,5852,8066,8581,6994,5845,5299,4402,4577,4723,5424,6443,7822,8599,7153,5742,5126,5031,4760,5169,5654,6498,8846,9025,7624,6281,5682,5196,5071,5467,6156,7758,10129,10881,8726,7200,7376,5282,5455,5719,6324,8058,10404,10636,8667,6999,6257,5822,5391,5523,6153,7609,9272,9503,7743,6453,5501,5176,5106,5244,5805,6965,8942,9412,7346,6047,5420,4602,4304,4506,4904,5911,7638,8598,5511,4269,3606,2872,2337,1934,1839,1624,1486,1325,1205,1079,970,901,814,680,618,634,551,434,500,422,382,314,297,314,253,271,264,231,234,168,126,94,146,90]
[406,343,346,488,663,667,716,715,796,825,937,1102,1237,1375,1443,1761,2017,2223,2503,2772,3453,4226,5289,5493,4894,4621,4079,3749,4067,4081,4403,5302,6125,6447,5586,5066,4890,4312,4328,4137,4692,6458,6140,6223,5589,5097,4797,4386,4367,4539,4946,5775,6083,6254,5674,5423,4888,4572,4669,4885,4995,5964,6660,7225,6228,5639,5140,5031,4690,5019,5369,6446,7649,8161,7333,6526,5595,4973,4958,6134,5393,6927,7767,7569,6830,5975,5539,5154,4939,5256,5481,6549,7169,7233,6394,5732,5186,4914,4709,4738,5252,6014,6804,6743,6021,5349,4833,4261,4063,3959,4515,5247,5664,5528,4509,3729,3932,2645,2107,1928,1733,1633,1409,1308,1308,1060,931,1117,850,764,681,547,528,449,422,404,448,345,444,401,224,321,230,254,242,229,165,178,221,98]
[304,392,415,497,526,467,648,850,705,904,897,1135,1142,1259,1464,1750,1879,2035,2485,2580,2927,3534,4121,4574,4605,4194,3798,4093,4044,4048,4083,4605,4781,5411,5401,4621,4349,4488,4113,4279,4341,4521,5127,5434,6551,4885,4446,4672,4600,4325,4596,4931,5543,5648,5544,5132,4669,4829,4637,4640,4814,5301,5777,5959,5901,5458,4846,4967,4608,4960,4926,5713,6261,6660,6440,5566,5398,5072,4874,4851,4865,5741,7337,6513,6264,5718,5264,5271,4916,5062,5224,5449,5986,6290,6159,5446,4893,4950,4894,4621,5010,5295,5641,5722,5779,5138,4694,4705,4098,3937,4074,4183,4653,4555,4319,3404,2837,2748,2418,2442,1904,1691,1575,1294,1265,1075,1006,948,911,698,712,640,635,606,436,445,405,336,361,329,286,275,289,241,180,275,210,150,222,201]
[431,451,418,462,567,635,702,628,692,798,1247,1112,1189,1321,1487,1702,1948,2186,2494,2607,2728,3212,3786,3975,3855,3656,3743,4023,4180,4175,4280,4587,4643,4893,4548,4428,4349,4119,4077,4184,4325,4513,4801,5040,4758,4613,4679,5389,4508,4708,4722,4923,5239,5381,4964,4759,4657,4791,4650,4690,5056,5147,5468,5381,5244,5042,4723,5007,4908,5045,4961,5274,5625,6117,5453,5070,5190,5025,4859,4822,4882,5490,5711,5788,6510,5270,5139,4927,4962,5204,5171,5378,5722,5605,5556,5062,4764,4829,4875,4822,4915,5161,5368,5208,5196,4627,4488,4134,4147,4017,3874,3952,4135,4035,3627,3123,2761,2751,2117,1989,1884,1725,1768,1387,1289,1189,1022,982,916,787,665,626,501,488,466,488,415,413,365,270,324,274,223,251,255,186,255,157,207,155]
[333,363,423,481,429,503,578,697,689,781,946,1083,1265,1447,1463,1647,1829,2036,2168,2705,2722,3220,3757,3569,3770,3709,3789,3742,4037,4137,4317,4452,4428,4603,4381,4162,4036,4190,4308,4384,4322,4566,4761,4568,4841,4511,4457,4339,4559,4661,5657,4846,5063,5268,5045,4603,4757,4536,4596,4641,4746,4919,5124,5154,4877,4662,4492,4544,4758,4881,4796,5113,4988,5265,4918,4754,4694,4683,4728,4963,4895,5036,4999,5217,5098,4737,4926,5738,4873,5045,4954,5057,5367,5447,5130,4653,4633,4689,4729,4700,4758,4908,4972,4939,4846,4522,4443,4267,4234,3983,4126,3838,3989,3900,3579,3049,2883,2463,2249,2194,1914,1661,1470,1484,1242,1276,1002,988,896,724,677,569,565,486,502,462,367,435,317,346,334,310,230,214,212,246,234,201,165,198]
[391,377,421,539,545,550,673,725,772,928,992,1064,1199,1373,1438,1675,2338,2238,2405,2827,3067,3458,3901,3875,3756,3711,3504,3634,3982,4059,4326,4601,5057,5003,4713,4279,4105,4255,4393,4209,4597,4830,5147,5043,4944,4647,4518,4602,4624,4691,4770,5290,5663,6621,5170,4778,4625,4694,4800,4873,4849,5088,5496,5305,5315,4768,4492,4717,4911,4773,5054,5560,5702,5562,5191,5068,4771,4924,4835,4829,4988,5281,5753,5722,5232,5301,4772,5008,4943,4793,6204,5685,5530,5782,5377,4868,4718,4885,4952,4973,4999,5061,5510,5353,5095,4618,4283,4234,4458,4329,4135,4639,4570,4385,3792,3049,2909,2733,2408,2146,1983,1756,1607,1487,1247,1263,1181,1092,1043,767,728,576,570,546,562,422,420,441,397,365,249,273,277,229,216,227,214,194,174,184]
[388,445,418,593,480,619,727,672,765,908,965,1085,1223,1344,1496,1671,1985,2336,2537,3792,3558,4390,4685,4583,4300,4001,3866,3995,4176,4589,4980,5381,5817,5582,5109,4350,4386,4335,4357,4499,5121,5638,5993,5511,5479,4825,4439,4641,4708,4893,5416,6188,6617,6294,5829,5457,5913,4953,4883,5164,5413,6019,6097,5915,5548,5091,4931,5038,5003,5221,5855,6065,6392,6169,5679,5403,4970,4758,4894,5046,5844,6016,6375,6027,5917,5352,5052,5221,5101,5381,6019,6272,6578,7724,6130,5489,5137,4933,5115,5504,5894,6252,6444,6237,5619,4850,4658,4384,4545,4554,5192,5557,5450,5004,4460,3725,3246,3010,2529,2220,2033,1800,1645,1408,1358,1261,1091,950,942,795,720,711,579,505,479,548,443,420,382,324,368,371,358,300,274,223,215,219,197,211]
[340,388,468,519,576,563,682,718,912,930,1127,1086,1217,1475,1638,1764,2032,2325,2534,3386,3953,4870,7325,6257,5087,4554,4255,4309,4328,4946,5562,6342,7143,7158,6254,5308,4853,4690,4530,5132,5610,6377,7290,7111,6278,5532,4974,5008,4929,5347,6072,6898,7865,7922,6722,5906,5488,5236,5130,6203,5962,6498,7008,7112,6371,5634,5319,5056,5086,5714,6097,6818,7540,7369,6545,5893,5372,5310,5300,5631,6109,6713,7927,7430,6533,5631,5557,5413,5187,5650,6390,7295,8670,7319,6770,6104,6573,5243,5532,5894,6528,7439,8261,8062,6872,5819,5209,4948,5086,5350,5724,6933,7726,6777,5646,4681,3818,3299,2681,2322,1976,1876,1598,1365,1377,1270,1060,1065,962,828,688,730,591,556,588,408,508,369,327,337,285,319,303,298,292,271,229,254,215,188]
[410,455,436,567,600,612,720,809,851,897,1021,1183,1342,1386,1577,1813,1975,2425,2881,3623,4497,5783,8555,9067,7088,6588,4663,4502,4494,5059,5834,7397,9531,9298,6923,6151,5419,4867,4807,5414,6012,7571,9832,9455,7747,6268,5646,5254,5173,5666,6420,8104,10543,10638,8772,7103,6302,5362,5518,5643,6334,7479,11658,9129,7691,6193,5422,5267,5413,6040,6908,8541,10548,9256,7474,6762,5821,5348,5450,5929,6744,8137,10353,9402,7824,6711,6168,5705,5789,6448,7155,9126,11207,10394,8278,6937,5817,5651,5757,6258,8524,9181,11412,10250,8157,6617,5623,5375,5278,5754,6553,8554,10147,8948,6624,5400,4379,3653,2913,2476,2096,1837,1618,1522,1392,1175,1120,1107,940,809,690,684,682,611,502,501,480,459,450,393,331,278,273,247,316,233,266,199,229,148]
[408,441,430,561,617,714,595,781,792,1008,998,1254,1359,1570,1654,1861,2170,2509,2984,3846,4711,6874,10056,9936,7363,5655,5068,5617,4882,5393,6421,8421,11353,9614,7399,6159,5518,5170,5051,5410,6597,9059,11409,10224,7555,6690,5842,5299,5481,5860,7212,8987,12298,11482,8109,7125,6032,5463,5494,6033,6818,8560,10887,10123,9146,6231,5525,5604,5500,6122,7626,9882,11194,10228,7639,6742,5723,5338,5586,6170,7046,9434,11235,10284,7694,7064,6095,5673,5843,6452,7619,11023,13078,10695,8481,6893,6085,5778,6121,6507,7493,10393,15274,9923,7710,6737,5675,5122,5469,6096,7333,10421,11514,8722,6372,5358,4368,3278,2778,2357,1950,1755,1541,1473,1346,1306,1164,941,953,750,712,745,654,570,526,491,476,396,348,376,248,255,296,338,270,243,187,164,168,205]
[461,512,495,686,578,708,819,799,937,1033,1181,1280,1408,1612,1821,2145,2287,2703,3270,3800,4960,7424,7753,6352,5575,4661,4417,5176,5211,5409,6943,8409,8208,6847,5749,5186,4773,4522,4965,5522,6479,8614,8770,7588,6216,5397,5062,5208,5398,5953,7309,9325,9679,8102,6722,5768,5412,5104,5474,5727,6689,8238,8385,7139,6171,6312,5042,5133,5571,6392,7829,9234,9169,7364,6382,5512,4989,5101,5429,5990,7525,9292,9122,7479,6454,5865,5246,5327,5570,6582,8470,10472,9629,7757,6786,5797,5231,5355,5829,6579,7922,9843,11564,7262,6473,5627,4868,4820,5269,5829,7481,9169,8626,6410,5230,4381,3452,2567,2206,1984,1759,1527,1476,1380,1240,1053,1076,816,879,669,687,579,565,452,443,450,421,386,384,415,281,227,253,302,183,180,160,245,172,174]
[416,401,435,559,571,666,677,775,872,963,1003,1194,1386,1492,1562,1769,2054,2231,2564,2792,3327,4051,5191,5499,5178,4894,4359,4249,3902,4164,5429,5515,6366,6650,5801,5435,5081,4702,4391,4486,4752,5739,6493,6742,6311,5772,5259,4931,4788,4839,5294,6298,7192,7699,6634,6316,5706,5385,4968,4951,5235,5891,6462,6796,6249,5991,5106,4932,5992,5033,5604,6433,7399,7346,6432,5938,5467,5057,5016,5167,5439,6609,7318,7402,6421,5830,5620,5164,5223,5437,5988,7097,7691,7693,7019,6371,5560,5261,5313,5222,5518,6743,7534,8260,6857,7285,5255,4935,4598,4778,5004,6391,7072,7052,5675,4751,4113,3295,2711,2274,1977,1816,1604,1504,1429,1263,1083,1108,928,839,672,700,656,571,523,472,421,404,390,385,338,233,292,261,206,282,192,183,193,193]
[524,453,473,533,600,719,756,737,942,995,1055,1193,1330,1425,1527,1686,1906,2450,2486,2660,2995,3530,4311,4535,4677,4194,4061,3997,4240,4156,4170,4839,6552,5647,5357,4850,4696,4638,4395,4565,4469,4815,5472,5684,5423,5216,4730,4858,4752,4471,4875,5426,5992,6001,6027,5569,5175,5122,5187,5002,4972,5376,6215,6150,6018,5358,4803,5176,4829,4770,6212,5831,6104,6239,5976,5235,4954,5189,4891,5054,5356,5849,6068,6447,6014,5404,5180,5162,5197,5079,5695,6156,6454,6516,6353,5563,5321,5085,5124,5035,5466,5836,6493,6551,6158,5352,5075,5622,4554,4401,4634,5119,5665,5326,4722,3939,3574,3129,2615,2204,2059,1827,1789,1629,1400,1305,1086,927,905,885,819,646,603,580,521,542,440,481,408,380,296,320,299,268,312,223,235,246,150,198]
[417,456,501,601,558,699,789,778,933,1011,1102,1142,1223,1335,1670,1854,2078,2287,2524,2677,3208,3415,3831,3925,3941,3823,3941,3966,4180,4201,4326,4492,4846,4959,4813,5257,4487,4383,4369,4523,4681,4662,5058,5287,5149,4641,4647,4717,4704,4623,4857,5258,5485,5703,5399,5049,4987,5092,5144,4902,5182,5223,5428,5662,5438,4989,5012,4983,4972,5227,5216,5285,6776,5780,5296,5139,5025,5140,5008,5175,4960,5407,5636,5601,5411,5223,4944,4979,5230,5009,5085,5492,6088,6034,5564,5397,5290,5117,5116,5127,5335,5407,5813,5874,5323,4942,4852,4844,4679,4422,5330,4719,4832,4582,4068,3489,3267,2862,2447,2256,2027,1662,1603,1442,1376,1240,1191,1072,811,890,807,808,629,603,612,508,498,467,426,454,439,389,335,266,230,139,238,203,263,200]
[488,484,488,556,652,647,734,908,967,877,1102,1142,1351,1332,1546,1749,2079,2336,2388,2679,3056,3690,3868,4010,3812,3755,3808,4079,4107,4446,4341,4582,4686,4814,4723,4434,4262,4334,5328,4589,4346,4836,4844,4930,4810,4585,4592,4632,4732,4996,4940,5074,5282,5415,5174,5062,4895,5021,5207,5077,5128,5332,5640,5740,5409,5027,5066,5122,4892,5434,5294,5377,5584,5587,5350,5110,5844,5110,5113,5081,5058,5492,5789,5682,5187,5201,5006,5197,5381,5054,5227,5372,5478,5720,5412,5279,5048,5120,5326,5144,5299,5562,5878,5659,5187,5129,4684,4543,4627,4487,4527,4538,4491,5255,3814,3442,3005,2852,2597,2238,1942,1782,1608,1689,1553,1348,1165,1014,975,843,735,707,627,557,564,494,501,480,383,362,301,297,308,292,275,240,284,268,175,217]
[407,469,521,473,636,685,772,854,925,962,1131,1146,1313,1429,1600,1870,2075,2402,2575,2874,3540,3996,4342,4257,4242,4057,3915,4195,4178,4589,4545,5070,5147,5335,4926,4752,4428,4284,4519,4577,4696,6020,5484,5255,5232,4694,4537,4850,4764,4793,5025,5372,5549,5648,5422,5184,5103,4995,5513,5288,5694,5816,6074,5996,5843,5285,5184,5256,5307,5165,5427,5778,6026,5585,5627,5435,5328,5159,5159,6441,5535,6048,6073,6071,5719,5470,5181,5531,5308,5385,5568,5942,6302,6123,5855,5289,5188,5146,5029,5344,5690,5893,6234,6146,5747,5142,4685,4715,4739,4718,4899,4907,5070,4656,4231,3512,3731,2859,2559,2448,2163,1909,1711,1471,1379,1244,1163,1096,1065,912,790,640,711,604,544,577,538,452,436,467,402,346,290,309,330,271,188,247,222,213]
[474,537,532,579,594,589,676,966,892,898,1094,1225,1128,1533,1638,1805,2130,2499,2722,3057,3631,4512,4765,5057,4768,4347,4153,4091,4224,4587,4866,5670,5751,5797,5659,5089,4563,4491,4490,4687,5175,5707,6115,5920,5725,6338,4951,4947,4959,5125,5518,6134,6401,6300,5974,5627,5210,4987,5277,5301,6105,6512,6663,6642,6367,5863,5406,5051,5005,5422,5867,6432,6363,6287,5969,5628,5359,5210,5237,5450,6168,6710,7920,6654,6420,5595,5189,5607,5242,5538,5754,6430,6553,6592,6515,5637,5237,5262,5444,5518,6331,6730,6880,6589,6331,5626,5069,4890,4807,4929,5413,5517,5588,5474,4663,4041,3292,3152,2779,2936,1994,1986,1807,1520,1397,1434,1222,1152,1103,884,773,800,662,668,577,552,413,410,440,450,437,373,248,250,352,219,198,190,263,152]
[415,401,427,546,640,660,714,843,828,971,1234,1281,1286,1576,1693,1893,2216,2509,3083,3507,4288,5220,6500,6798,5982,5059,4725,4511,4450,4678,5478,6239,7318,7381,7368,5260,4995,4929,4826,5184,5663,6402,7323,7658,6742,5690,5452,6187,5129,5367,6077,6677,7853,7819,6926,6103,5788,5774,5500,6041,6541,7615,9194,9026,7594,6477,6182,5709,5666,6122,6564,7114,8182,7924,7061,6323,5718,5628,5654,6030,6729,7525,8544,8295,7566,7839,6154,5641,5760,5960,6652,7330,8433,8383,7393,6430,6059,5680,5746,5765,6698,7605,8960,8993,7007,6437,5583,5244,5279,5378,6063,6478,7567,6974,5694,4655,3799,3600,2958,2404,2201,2103,1964,1674,1405,1289,1174,1063,1081,867,911,770,765,590,572,600,467,415,419,300,335,297,383,290,333,290,207,156,195,134]
[391,429,551,511,570,657,633,828,887,951,1049,1195,1328,1774,1693,1914,2255,2385,3192,3936,4879,6403,9114,9842,7863,6167,5532,5016,4691,5125,5951,7467,9784,9948,8169,6642,5969,5318,5350,5391,6414,7763,9878,10192,8679,7032,6453,5625,5681,5793,6604,9242,10127,10305,8225,6972,6407,5889,5902,6206,7216,9267,11643,11454,9170,7630,6835,6097,5914,6293,7352,8455,10760,10871,8701,7322,6547,5969,6057,6576,7527,9170,11865,11316,8886,7395,6851,5903,7562,6566,7433,8850,11333,10504,8320,7228,6422,5971,5906,6442,7513,9373,11872,11162,8218,7114,6238,5581,5417,5900,6397,8283,10316,9177,6273,5551,4397,3573,3052,2574,2275,1997,1782,1612,1513,1529,1275,1097,957,975,897,823,621,626,605,580,519,450,377,424,402,340,273,284,219,263,221,277,249,174]
[400,460,476,516,582,715,765,801,894,927,1159,1170,1446,1483,1701,1838,2479,2514,2934,3888,4927,6648,9742,11156,8553,6360,5554,4940,4733,5134,6061,7747,10490,10870,8484,7051,6103,5329,5211,5444,6495,8131,11069,11335,9127,7397,6529,5538,5411,5749,6532,7806,11195,11072,10138,7017,6287,5594,6102,6582,7618,10002,13106,12516,9120,7971,6537,5957,5803,6293,7091,8532,11831,11741,9019,7399,6490,6061,5980,6357,7045,9364,11903,12300,9363,7945,6650,6061,6243,6601,7079,10876,12065,11510,8812,7351,6672,5777,5757,6629,7093,9427,12375,11629,8521,7345,6359,5411,5338,5647,6472,8732,11560,9911,6785,5450,4607,3687,3068,2484,2053,1968,1690,1445,1510,1344,1216,1187,1221,921,799,769,646,638,599,479,490,399,412,337,327,361,295,296,259,241,220,259,171,221]
[435,498,463,544,614,628,687,868,956,1018,1087,1292,1379,1542,1613,2006,2133,2350,2847,4081,4094,5537,7423,8253,6692,5897,5162,4591,4249,4720,5691,6811,8260,8782,7180,6498,5640,5106,4957,4871,5638,6794,8880,9378,7975,6899,6126,5252,5068,5345,6095,6839,8424,9047,7754,6545,7161,5494,5730,5945,6889,8308,10065,10385,8633,7306,6405,5904,5478,5773,6768,7618,9591,9586,7923,6970,6127,5551,5524,5838,6885,8335,10128,10358,8574,7026,6290,5760,5499,6037,6924,7835,9671,9904,9626,6927,6275,5485,5486,6059,6796,8029,9085,9436,7890,6623,5686,5044,5223,5414,5937,6935,8243,7824,5646,4711,4245,3367,2865,2367,2035,1794,1769,1689,1483,1288,1156,1087,957,940,834,848,710,665,558,453,406,485,426,326,391,367,250,269,326,293,263,256,243,244]
[490,531,542,542,645,703,821,782,837,993,1082,1198,1411,1450,1550,1853,2119,2256,2591,2963,3379,4129,6630,5948,5538,4878,4511,4244,4413,4321,4754,5950,6654,7069,6214,5837,5211,5071,4807,4896,5200,6080,7397,7419,6345,6120,5411,5200,4863,5052,5424,6129,7234,7553,6910,6177,5760,5293,5116,6615,5813,6988,7631,8089,7280,6524,5939,5476,5133,5169,5631,6502,7491,7332,6973,6086,5932,5561,5206,5628,6024,7031,8148,8117,7169,6633,6167,5525,5462,5373,6138,6852,7633,8425,6919,6299,5777,6276,5153,5323,5801,6806,7781,7705,6681,6034,5470,4942,4719,4726,5002,5781,6458,6367,4997,4557,3940,3263,2735,2351,2048,1809,1659,1660,1385,1331,1189,1123,937,891,826,768,721,686,714,540,520,480,404,398,382,319,349,294,219,227,173,205,185,234]
[373,503,450,610,581,661,789,818,817,1032,1017,1264,1289,1571,1556,1851,2187,2444,2567,2764,3160,3733,4520,4825,4837,5190,4222,4361,4148,4199,4645,5016,5767,5543,5773,5101,4840,5017,4678,4709,4838,5394,5909,6169,6163,5570,5075,5059,4943,4825,5019,5531,6182,6342,6330,5863,5292,5318,5317,5109,5502,5922,7868,6766,6441,5637,5587,5444,5067,5128,5407,5862,6354,6443,6334,5778,5399,5246,5216,5198,5481,5964,6707,6653,6300,5633,5595,5685,5355,5267,5559,6236,6516,6809,6268,5764,5227,5410,5203,6140,5380,5961,6400,6405,6019,5232,4938,4815,4503,4245,4560,5110,5354,5111,4639,3682,3454,3004,2648,2228,2009,1781,1736,1583,1474,1224,1038,1087,1008,868,839,721,680,601,591,511,587,519,438,401,380,385,344,244,298,249,237,229,161,221]
[398,491,590,607,692,681,759,704,868,1021,1137,1239,1340,1528,1564,1934,1924,2253,2426,2776,3028,3333,3859,4225,4354,3965,4112,4260,5283,4375,4644,4773,5135,5087,5154,4970,4628,4557,4672,4730,4845,5332,5427,5562,5440,5138,5030,4859,4916,5169,4884,5103,5718,5985,5343,5186,5148,5003,4945,5123,5219,5494,5653,6054,5652,6275,5246,5213,5043,5250,5102,5470,5535,5607,5279,5215,4946,5062,4935,4862,5126,5444,5743,5847,5659,5279,5335,5275,5298,5138,5444,5399,6050,6017,5567,5216,5301,5087,5076,5341,5084,5485,6831,5722,5183,4851,4884,4665,4559,4292,4290,4375,4586,4330,4131,3194,3180,2821,2360,2236,1976,1734,1623,1456,1411,1227,1087,1101,977,888,817,816,657,666,530,543,530,386,487,418,451,294,341,263,262,217,210,264,191,189]
[531,498,544,608,694,656,768,890,946,1055,1107,1177,1331,1505,1617,1946,2105,2301,2553,2866,3352,3786,3945,4253,4030,3801,3995,4012,4350,4251,4693,5587,5015,4649,4844,4613,4507,4668,4764,4976,5139,5452,5419,5481,5153,4880,5120,4945,4918,5088,5121,5421,5650,5645,5428,5043,5091,5103,5001,4947,5125,5275,5584,5555,5581,5099,5062,4950,6291,5299,5233,5692,5662,5554,5466,5346,5057,5207,5052,5151,5174,5401,5786,5586,5619,5310,5200,5264,5317,5320,5381,5669,5793,5564,5348,5237,4880,4905,5122,5209,5276,5325,5574,5575,5204,5768,4589,4560,4462,4215,4358,4348,4476,4169,3635,3161,2860,2767,2352,2107,1944,1730,1533,1499,1382,1301,1175,1055,886,964,817,737,697,713,667,599,460,479,430,424,337,323,368,378,295,284,263,177,252,199]
[442,581,560,553,641,710,756,862,939,931,1089,1274,1395,1455,1545,2001,2020,2417,2693,3019,3291,3991,4480,4197,4460,4106,3908,4266,4420,4370,4676,5354,5332,5222,6002,4702,4845,4778,4887,4803,5453,5414,6086,5961,5225,5289,4942,5054,4985,5274,5693,5773,6086,6116,5734,5501,5087,5141,5204,5269,5273,5917,6426,6205,5643,5344,5048,5420,5138,5387,5681,7435,6090,5615,5645,5322,5020,5166,5052,5075,5581,5720,6056,5959,5347,5118,5093,4914,5212,5413,5371,6011,5873,5795,5666,5282,4924,5029,5082,5285,5286,6025,5886,5536,5397,5022,4581,4538,4436,5360,4386,4782,4896,4198,3786,3156,3044,2728,2646,2160,1964,1844,1676,1522,1240,1449,1222,1087,928,886,761,758,653,669,533,546,528,457,392,344,342,402,254,259,264,271,314,250,268,157]
[438,589,579,590,610,669,774,891,956,959,1153,1222,1346,1534,1690,1858,2209,2378,2901,3294,4023,4674,5175,5160,4681,4331,3952,4301,4407,4876,5282,5812,6048,5702,5639,5287,4803,4893,5843,5261,5962,6495,6709,6373,6134,5445,5149,5163,5347,5354,5953,6482,6666,6511,6307,5509,5268,5243,5117,5783,5797,6547,6890,6309,6179,5722,5315,5314,5266,5564,6230,6644,6529,6374,6033,5642,6507,5251,5378,5635,5947,6507,6410,6398,6000,5464,5222,5322,5471,5780,6145,6424,6834,6718,5884,5621,5190,4919,5300,5699,6298,6778,6527,6319,5855,5182,5047,4685,4378,4716,5126,5460,5284,5749,4149,3498,3330,2743,2489,2187,2008,1804,1579,1514,1362,1320,1156,1008,985,959,792,633,695,649,536,492,471,482,467,453,349,355,322,264,203,266,234,243,164,134]
[403,546,598,581,715,768,832,788,905,983,1155,1286,1499,1501,1580,1814,2111,2474,2921,3805,4437,5172,6697,6840,5930,5239,4697,4702,4467,5173,5887,6937,7544,7418,6572,5942,5464,5049,5296,6001,6458,8694,8381,7699,6937,6104,5884,5584,5538,5876,6738,7333,8388,8164,7271,6268,5933,5469,5496,5927,6616,7360,8149,8052,7160,6368,5949,5544,5679,6086,6597,7370,8317,7693,7182,6566,6236,5851,6822,5825,6804,7559,8199,7762,6678,6225,5927,5657,5861,6353,6934,7700,8663,7897,7018,6288,5707,5647,5476,6230,6792,7742,8855,7984,7081,6008,5826,5202,5344,5464,5569,6339,7245,6739,5347,4477,4660,3180,2587,2309,2029,1776,1664,1562,1274,1363,1157,1059,982,917,849,744,703,626,532,498,567,434,411,440,382,331,296,257,253,243,268,246,190,241]
[453,489,498,552,678,678,770,918,860,1038,1009,1217,1231,1590,1703,1939,2104,2379,2929,3721,4604,6200,8833,10099,7640,5752,5348,4825,5103,5558,6097,7774,9788,9373,7900,6735,5987,5561,5549,5956,6820,8236,10366,10512,9763,7130,6024,5843,5783,6128,6867,8352,10815,10244,8404,6619,6222,5576,5781,6061,6788,8583,10385,10559,8399,6831,6317,6185,5901,6224,6996,8369,10859,10897,8646,7490,6812,6042,5711,6190,6687,9921,10805,10222,7792,6924,6413,5738,6155,6611,7175,9068,10582,9831,7903,7018,6289,5642,5618,6493,7176,9712,11592,10129,8000,7010,6116,5493,5569,5789,6237,7748,10305,8430,6444,5403,4630,3786,2993,3020,2025,1843,1748,1610,1460,1351,1234,1089,1007,811,849,752,652,685,618,511,564,485,447,385,375,341,287,357,354,302,274,295,187,268]
[467,529,521,619,633,724,683,802,924,1015,1278,1213,1445,1605,1688,1899,2204,2250,2911,3697,4769,6618,9770,10958,8101,6314,5598,4961,4949,5368,5720,7783,10534,11343,8763,7341,6305,5652,5601,6036,6678,8580,12048,11999,9908,7696,6762,7090,5823,6118,7001,8695,11937,11960,9256,7628,6460,5884,5835,6143,7099,9189,11513,11566,8835,7528,6593,5872,5875,6370,7177,8906,11866,11761,9122,7918,6522,5904,5927,6201,7220,8225,11134,11457,10215,7321,6618,5926,6181,6853,7415,9217,11782,11251,8356,7624,6273,5640,5981,6326,7286,9449,12516,12138,8558,7333,6077,5433,5587,5550,6479,8091,10628,9769,6960,5774,4653,3654,2998,2500,2177,1928,1989,1547,1425,1341,1141,997,949,865,785,728,724,680,587,522,502,511,424,361,381,314,339,347,350,325,217,241,240,213]
[484,424,507,575,581,755,779,875,871,1056,1042,1228,1363,1761,1762,1874,2074,2358,2777,3222,4085,5121,7407,8160,7441,5821,5224,4893,4727,4848,5381,6576,8518,9708,8051,6986,6383,5535,5239,5472,6282,7342,9806,10625,8882,7376,6514,5707,5320,5637,7592,7415,9600,10229,8527,7555,6313,5743,5465,5951,6369,7328,9024,9950,8532,7510,6652,5679,5569,6045,6646,7408,9264,9833,8685,7623,6960,5759,5655,5635,6325,7315,8523,9613,8602,7222,6581,7114,5878,6191,6524,7875,9521,9508,7990,6996,6202,5505,5651,5805,6495,8236,10025,10048,8627,7170,6314,5284,5131,5023,5654,6582,8451,8503,6598,5325,4540,3769,2790,2374,2070,1828,1663,1522,1191,1324,1043,1167,990,833,759,658,738,571,551,523,481,418,432,431,355,332,385,268,254,290,248,207,259,239]
[448,462,485,626,583,736,734,912,873,1007,1162,1227,1354,1514,1569,1872,2327,2355,2554,3063,3476,4232,5534,5950,5636,5134,4982,4384,4181,4393,4988,5684,6899,7315,6792,6277,5496,5148,4859,4949,5525,6510,7724,8030,7162,6553,6106,5403,5182,5102,5751,6125,7437,9438,7151,6538,6014,5307,5097,5316,5732,6681,7342,7710,7421,6518,5998,5372,5408,5598,6004,6894,7411,7983,7480,6560,5999,5469,5528,5149,5878,6727,7584,7771,7335,6417,6005,5823,5380,5367,7056,7057,7485,7878,7002,6160,5900,5227,5306,5540,6111,7084,7746,7655,6912,6466,5659,4927,4729,4756,5088,6136,6617,6612,5383,4524,4050,3461,2881,2382,2027,1913,1575,1377,1428,1322,1106,1327,881,801,736,722,649,611,566,570,504,488,477,378,341,333,290,345,240,224,259,167,223,171]
[474,440,527,679,719,725,757,764,902,1009,1128,1255,1407,1372,1638,1877,1914,2124,2455,3206,2947,3790,4488,5047,4970,4486,4108,4330,4144,4376,4379,5091,5575,5869,5769,5399,5174,5012,4828,4705,5081,5565,6134,6640,6258,5831,5432,5373,5143,5143,5268,5641,6195,6592,6450,6166,6583,5381,5031,4909,5176,5726,6329,6560,6459,5686,5637,5493,5287,5284,5422,6151,6630,6629,6297,5961,5520,5447,5289,5171,5089,5844,6440,6646,6439,5747,5627,5510,5297,5307,5699,5985,6515,8034,6484,5669,5233,5301,5093,5140,5329,5617,6579,6167,6164,5661,5240,4802,4563,4321,4220,4782,5082,5102,4820,3879,3309,3129,2643,2118,2033,1743,1613,1424,1325,1294,1161,1100,986,969,812,803,684,655,577,573,471,502,376,360,380,499,328,246,264,227,184,196,240,230]
[526,539,555,652,662,632,720,853,929,1042,1115,1123,1324,1454,1652,1856,1900,2234,2624,2662,2980,4083,3976,4137,3907,4051,4071,3970,4199,4370,4415,4847,5163,5146,5107,4631,4890,4523,4837,4767,4968,5183,5680,5784,5356,5019,4992,5185,5000,5196,5186,5292,5772,5885,5371,5201,5146,5025,5094,5932,5132,5398,5752,5963,5583,5389,5241,5215,5200,5224,5676,5584,6234,5969,5897,5370,5218,5191,5111,5130,5189,5680,5895,5877,5668,5282,5362,5448,5307,5268,5448,5691,6026,5918,5769,5325,6074,4941,4860,4953,5061,5453,5811,5552,5074,5018,4711,4527,4250,4310,4146,4427,4547,4420,3814,3319,3108,2799,2413,2024,1905,1714,1562,1375,1318,1338,1138,1000,892,846,789,679,753,759,533,558,448,454,385,442,388,325,327,246,287,213,273,193,173,226]
[440,432,552,594,707,685,844,840,873,1022,1174,1255,1384,1395,1678,1818,1949,2209,2527,2604,2937,3391,3484,3933,3888,4686,3699,4078,4222,4333,4432,4784,4967,5076,4941,4726,4498,4739,4779,4967,4798,5168,5334,5692,5090,5091,4890,4823,5057,5139,5251,5451,5729,5716,5436,4972,4893,4945,5214,5121,5226,5448,6985,5694,5318,5117,5277,5077,5405,5416,5597,5744,6188,5819,5741,5256,5133,5171,5076,5215,5228,5680,5853,5825,5444,5100,5299,5374,5590,5394,5615,5665,6058,5989,5519,5265,5171,5042,4948,5869,5254,5389,5465,5440,4947,4665,4356,4417,4326,4329,4168,4365,4410,4270,3557,3267,2742,2507,2515,2249,1839,1825,1554,1492,1365,1230,1054,1099,975,825,712,698,703,652,678,597,499,584,375,325,375,423,314,306,244,304,242,188,208,227]
[472,481,514,577,645,668,709,855,1021,1096,1224,1185,1359,1502,1684,1906,1945,2360,2518,2751,3343,3643,3875,4168,4142,3997,3857,3911,4435,4461,4913,5055,5414,5328,6060,4725,4912,4778,4909,5080,5235,5846,6006,5917,5689,5387,5075,4875,5282,5306,5801,5924,6259,5989,5761,5645,5373,5190,5423,5413,5583,6008,6190,6298,5848,5612,5190,5415,5369,5633,6099,7908,6670,6185,5945,5649,5536,5343,5485,5647,5989,6143,6589,6439,5883,5624,5339,5469,5418,5658,5901,6477,6805,6437,5873,5490,5317,5143,5334,5314,5389,5777,6096,5447,5284,4799,4403,4222,5499,4548,4699,4978,4808,4313,3701,3355,2944,2662,2282,2152,1886,1839,1624,1438,1477,1382,1087,1048,972,899,798,740,666,664,655,579,561,567,494,384,403,390,317,399,271,245,300,268,221,211]
[552,413,630,555,649,755,807,804,906,1042,1142,1200,1352,1508,1653,1763,2058,2296,2638,3124,3630,4249,4632,4927,4791,4400,4057,4150,4441,4423,5461,5648,6089,6080,5530,5370,4912,5992,5087,5243,5835,6506,6974,6641,6147,5636,5400,5109,5412,5695,6147,6834,7015,6853,6576,5688,5552,5346,5215,5474,6109,6398,6837,6838,6354,6011,5647,5757,5671,6240,6836,7482,7821,7429,8179,6237,5914,5684,5590,6249,6627,7223,7431,7272,6824,6126,5688,5581,5619,6168,6742,7407,7533,7272,6567,6198,5877,5524,5564,5855,6220,6696,6508,6586,6017,5248,4841,4629,4731,4956,5287,5838,6817,5409,4557,3702,3289,2998,2690,2375,2070,1916,1767,1702,1369,1317,1180,1008,1050,974,882,812,659,700,588,533,566,459,403,469,407,387,342,310,299,314,185,249,236,232]
[458,526,644,732,589,713,760,894,889,993,1150,1238,1339,1487,1564,1802,2053,2312,2808,3485,4205,4968,6321,6109,5604,4844,4707,4359,4518,4879,5904,6572,7161,7469,6267,6000,5538,5282,5391,5765,7609,7482,8310,8028,7235,6150,5924,5710,5642,6613,6838,7865,8857,8892,7499,6490,6204,5757,5692,6369,6930,7457,8284,8228,7462,6550,5988,5851,6012,6910,7355,8474,9303,9058,7909,6889,6317,7196,5930,6511,7057,8127,9008,8644,7317,6678,6434,5868,6322,6793,7536,8710,9594,9270,7998,7012,6260,6011,5811,6417,7016,7818,8592,7835,6699,5796,5356,4882,4992,5649,6128,6875,7338,6953,6593,4296,3749,3116,2762,2362,2062,1906,1572,1474,1413,1322,1261,1049,1046,909,929,831,625,730,642,631,495,434,425,388,397,371,317,323,302,290,273,247,272,253]
[429,505,475,538,675,629,927,888,1047,1014,1161,1251,1392,1521,1713,1923,2070,2455,3187,3946,4770,6558,8778,8839,7010,6017,5172,4866,4730,5479,6157,8089,9995,9460,7897,6583,5985,5609,5565,6188,6940,8490,10919,12486,8135,7128,6160,5999,5985,6670,7579,9344,11802,11135,8591,7391,6546,5975,6097,6745,7317,8916,10849,10083,8554,7361,6624,6364,6506,7026,8406,10570,13537,12034,9147,7912,6854,6354,6468,7153,9778,10622,12513,11339,9004,7561,6847,6300,6691,7216,8194,10339,13041,11678,9268,7801,6802,6433,6301,6904,7470,9614,11251,9472,7704,6371,5828,5369,5369,5972,6630,8899,10159,8743,6620,5272,4386,3396,3398,2354,2129,1820,1657,1495,1439,1255,1186,1081,919,1029,858,772,721,613,606,544,585,487,469,485,377,382,303,272,266,234,206,213,243,224]
[463,447,539,616,661,694,761,777,932,1367,1223,1335,1388,1549,1679,1878,2084,2414,2761,3524,4301,6000,8639,9710,7665,6361,5381,4914,4796,5286,6021,7434,10450,10906,8866,7225,6263,5534,5543,5920,6957,8419,11332,11852,9366,7801,8084,5924,5891,6238,7298,9168,12512,12005,9236,7931,6846,6091,5907,6404,7423,8844,11022,11276,8853,7796,6681,6237,6050,6717,7903,9994,13490,12971,10129,8375,7152,6364,6071,6549,7451,9774,11972,14468,9420,8211,6976,6294,6353,6922,7813,10268,12733,12071,9874,8235,6931,6209,6111,6535,7329,8958,10939,10018,7997,6896,5842,5187,5133,5678,6467,8483,10816,9505,6793,5482,4652,3844,3115,2542,2236,2202,1620,1605,1380,1195,1207,997,1007,882,915,721,791,672,673,446,498,448,438,442,392,333,316,348,319,298,199,233,242,142]
[449,559,610,568,709,609,774,931,1001,1075,1097,1304,1642,1463,1786,1999,2192,2179,2690,3208,3908,4969,7035,8007,6724,5931,4937,4733,4434,4958,5357,7036,8340,9398,7659,6499,5843,5324,5251,5557,6243,6866,8932,9859,8418,7207,6545,5810,5530,6940,6564,7853,9394,9839,8798,7464,6663,5972,5498,5938,6635,7469,8872,9777,8293,7312,6442,5903,5683,6304,6929,8195,9681,10475,9145,7907,7051,5918,5802,6198,6673,8283,9711,10557,8995,7879,8391,6050,6110,6513,7232,8409,9842,10030,8806,7402,6619,5911,5625,6003,6471,7273,8554,8369,7670,6279,5839,5022,4760,4858,5608,6542,7864,7666,6354,4946,4590,3548,3119,2509,2082,1838,1616,1638,1649,1333,1186,1003,986,928,851,646,706,615,626,543,563,467,378,423,498,404,343,256,228,279,304,211,310,243]
[531,469,608,566,640,732,747,914,951,1049,1018,1163,1442,1550,1686,2180,2119,2256,2576,2955,3294,3990,5245,5807,5580,5047,4546,4434,4253,4197,4749,5568,6469,6717,6346,5895,5472,5052,5037,5035,5394,6177,7173,7648,6933,6171,5886,5598,5243,4969,5849,6473,8024,9561,7307,7014,5923,5474,5116,5283,5771,6483,7371,7755,6907,6576,6224,4983,5266,5554,6299,7256,8077,8216,7681,6690,6776,5340,5166,5426,5924,6997,7853,8313,7568,7021,6288,5878,5629,5907,7471,7725,8155,8177,7473,6779,6248,5464,5316,5475,6156,6099,6870,7159,6435,5413,5189,4595,4632,4709,4938,5981,6319,6034,5139,4371,4086,3307,2714,2303,1979,1756,1719,1539,1435,1337,1240,1322,867,833,842,728,676,651,565,606,491,445,448,344,387,351,274,269,257,358,275,290,200,257]
[519,563,565,697,649,830,774,853,1046,1043,1114,1291,1488,1579,1865,1768,2105,2414,2603,2848,3365,3967,4585,4739,4505,5113,4393,4321,4139,4409,4922,5407,6014,5787,5380,4971,4796,4790,4718,4948,5361,5915,6458,6373,5992,5561,5396,5322,5265,5225,5789,6375,6495,6764,6400,5671,5566,5393,5294,5362,5706,6332,7858,6858,6175,6074,5634,5222,5323,5604,5991,6660,7163,7156,6510,6055,5666,5454,5466,5748,5965,6619,7018,7124,6619,5903,5966,5453,5461,5716,6137,6675,7361,7194,6635,5907,5734,5605,5498,6221,6732,6415,6326,5859,5499,4970,4915,4823,4410,4531,4862,5128,5463,4931,4133,3556,3207,2817,2354,1996,1802,1683,1557,1392,1333,1132,1260,1004,1001,760,823,668,724,613,539,578,626,409,415,382,397,397,281,274,272,234,235,276,226,229]
[486,495,516,679,665,712,780,847,952,1053,1178,1244,1446,1531,1743,1833,2081,2222,2676,2678,2995,3519,3964,4334,4037,3788,4102,4950,4223,4392,4653,4902,5040,5162,4843,4778,4684,4806,4838,4655,5013,5293,5886,5994,5472,5119,5191,5101,5053,4972,5338,5537,5984,6102,5883,5195,5207,5406,4961,5171,5261,5713,6102,6109,5627,6466,5211,5287,5300,5131,5344,5929,6434,6290,5664,5545,5497,5365,5560,5449,5626,5875,6436,6227,5730,5417,5599,5434,5503,5612,5609,6044,6498,6456,6021,5636,5608,5482,5220,5343,5267,5438,6898,5573,5095,4830,4796,4597,4486,4426,4270,4646,4755,4490,3670,3351,3251,2872,2388,2203,1792,1749,1516,1514,1390,1236,1175,1049,979,877,734,712,695,656,611,555,569,426,479,465,397,365,284,327,278,244,298,198,260,223]
[546,548,546,606,748,753,821,948,910,996,1091,1239,1411,1486,1658,1892,2193,2382,2726,2750,3180,3413,3898,4158,3908,3953,3734,4019,4379,4288,5318,4816,5112,5005,4791,4402,4870,4663,4579,5064,5015,5425,5590,5638,5369,4855,4909,4973,5083,5032,5274,5422,5626,5926,5604,5313,5308,5230,5226,5456,5336,5766,6070,6064,5591,5249,5093,5146,6182,5240,5587,5706,6194,6022,5657,5485,5407,5559,5434,5753,5592,5837,6289,5956,5624,5351,5432,5457,5438,5588,5621,5786,6320,6252,6023,5615,5245,5371,5422,5359,5393,5601,5933,5716,5264,5724,4681,4598,4434,4542,4374,4602,4599,4155,3612,3331,2980,2646,2415,2217,2007,1853,1599,1431,1314,1210,1127,1073,1018,1025,822,770,657,641,580,567,519,467,471,349,439,307,313,354,274,243,307,174,250,198]
[456,549,543,618,594,717,736,845,981,1064,1180,1277,1406,1507,1718,1825,1856,2323,2703,2969,3279,3911,4148,4393,4311,4198,4190,4183,4110,4417,4616,5120,5171,6244,4779,4727,4545,4460,4652,4937,5350,5647,5648,5497,5567,5178,5045,5024,4949,5163,5348,5754,6159,6051,5741,5267,5260,4943,5232,5365,5742,5798,6031,6071,5609,5226,5176,5243,5323,5268,5503,7288,6203,6020,5849,5636,5357,5242,5542,5500,5732,6053,6487,6534,5964,5463,5603,5065,5449,5536,5637,6270,6349,6427,5784,5515,5761,5536,5320,5560,5798,6095,6236,6161,5709,5057,4694,4858,5600,4792,5195,5008,4889,4561,4109,3368,3024,2904,2521,2138,2023,1794,1676,1537,1329,1269,1186,1126,1005,988,771,712,685,700,582,564,542,448,495,442,414,295,311,369,317,273,216,272,244,172]
[492,480,514,627,654,690,859,876,991,1027,1126,1248,1429,1609,1633,1902,2207,2535,3043,3293,3999,4730,5166,5113,4635,4450,4399,4185,4361,4807,5215,5612,5938,5886,5353,5129,5639,5017,4938,5270,5851,6577,6391,6310,5920,5721,5412,5395,5335,5411,6080,6717,6755,6693,6476,5906,5435,5255,5509,5681,6120,6834,6829,6334,6224,5713,5555,5241,5268,5754,6315,6623,7107,6700,7630,5648,5573,5504,5650,6296,6707,7135,7299,7025,6391,5907,5545,5468,5697,5945,6630,7105,7235,7108,6594,5968,5651,5507,5661,6065,6618,7079,7274,6646,6083,5392,5029,4717,4857,5122,5571,7231,5762,5365,4301,3854,3563,3057,2656,2287,2069,1756,1831,1503,1512,1336,1174,1112,1068,876,876,797,723,692,576,571,577,465,468,380,411,342,356,310,314,216,280,248,263,196]
[470,477,666,549,693,670,834,901,973,1021,1173,1233,1333,1554,1692,1986,2291,2432,3087,3852,4473,5747,6483,6616,5805,5081,4853,4699,4709,5080,5696,6696,7456,6930,6218,5739,5453,5168,5282,7006,6718,7671,8402,7876,6935,6187,5772,5375,5700,6144,6427,7172,8058,8029,7033,6279,6099,5724,5632,6456,6680,7634,7885,7871,6947,6300,5778,5873,5670,6271,6646,7550,8311,7996,7082,6308,6056,6690,5712,6403,7315,8137,8645,7980,7128,6424,5916,5913,6018,6205,7239,7951,8602,8170,7418,6481,6038,5780,5837,6440,7160,8169,8947,8211,7062,6140,5444,5223,5203,5649,6265,6919,7384,6596,6495,4322,3965,3217,2630,2479,2071,1862,1517,1537,1445,1264,1226,1052,941,966,887,757,681,627,546,624,547,419,373,393,363,336,332,287,341,302,293,231,235,186]
[457,548,634,583,543,919,838,953,996,999,1143,1286,1353,1587,1746,1861,2263,2516,3341,3982,4978,6597,9084,9219,7283,6006,5496,5006,5093,5310,6266,7753,9739,9234,7439,6374,5928,5396,5513,6011,6743,8422,12359,10244,8395,6995,6355,5935,5885,6597,7144,8778,10733,10048,8697,7324,6432,5926,5969,6477,7289,8798,10097,9567,8016,6871,6414,6121,5772,6568,7163,8444,10149,10234,8120,7476,6954,6151,6201,6789,8997,9601,11738,10823,8371,7524,6453,6112,6166,6926,7845,9741,11877,11179,8829,7509,6486,6229,6304,6868,7986,10419,12220,10528,8481,6832,5910,5713,5843,6084,7196,9250,11118,9153,6974,5481,4632,4297,3086,2411,2205,1820,1634,1529,1529,1366,1184,1193,987,952,837,849,759,663,577,582,537,514,413,398,346,355,307,332,296,320,262,165,241,212]
[433,581,605,619,686,707,772,833,889,1213,1005,1317,1417,1565,1603,1888,2157,2629,3108,3944,5033,7100,10139,10395,7544,6668,5786,5036,4986,5576,6093,7813,10057,10212,7983,7294,6281,5433,5496,6068,6920,8712,11643,11692,9030,7725,7721,5858,6204,6090,7290,9107,11727,10826,8634,7489,6530,5990,5999,6812,7260,9487,11360,10548,8517,7691,6571,5609,5998,6467,7134,8913,11586,11180,8851,7917,6524,6153,6202,6501,7390,9211,11862,13787,8972,7686,6720,6160,6262,6952,7666,9926,12930,12125,9069,8040,6621,6252,6199,6829,7864,10173,13611,11925,8741,7318,6262,5712,5596,6138,6553,9068,11784,10443,7372,5962,4847,3849,3093,2551,2621,1886,1704,1576,1354,1401,1151,1104,955,792,884,795,750,684,577,576,449,461,426,376,311,343,339,355,290,287,213,195,231,201]
[510,492,491,595,691,746,785,837,878,991,1109,1474,1347,1493,1902,1791,2290,2430,2858,3613,4239,5614,7595,8009,6939,5805,5329,4704,4681,5192,5472,6308,7817,8155,7287,6551,5896,5508,5156,5520,6255,7191,9042,9419,8410,7122,6332,5761,5574,7112,6909,7982,9767,9500,7993,7339,6427,5913,5592,6156,6659,7717,9281,9173,7904,7122,6253,5709,5517,6010,6799,7664,9257,9360,8228,7074,6317,5900,5636,5927,6937,7529,9157,9593,8150,7317,7626,5842,5631,6331,7124,8653,9858,9863,8166,7090,6591,5806,5792,6258,7166,8048,10075,9741,8372,6870,6140,5352,5079,5682,6083,7477,9349,8749,6575,5374,4667,3685,3026,2443,2187,2020,1757,1794,1395,1328,1223,1070,996,791,731,748,690,592,549,533,509,451,455,409,379,350,404,332,298,263,300,209,223,212]
[531,460,621,622,712,788,879,880,942,1082,1212,1283,1386,1371,1680,2418,2163,2315,2869,3253,3623,4546,5683,6009,5716,5355,5167,4479,4416,4549,5030,5588,6362,6448,6576,5887,5648,5246,4785,5210,5660,6306,7124,7344,7244,6261,5945,5435,5066,5356,5845,6706,8943,7598,7157,6596,5999,5459,5385,5953,6100,7098,7722,7691,7063,6787,5861,5697,5318,5676,5886,6856,7629,7931,6881,6671,6139,5713,5375,5719,5996,6837,7489,7536,6985,6552,5926,5554,5447,6917,6332,7200,7902,7795,7197,6701,6223,5599,5183,5676,6167,7011,7684,7574,6791,6405,5674,5046,4894,4788,5375,6021,7185,6390,5461,4562,4226,3578,2777,2404,2165,1864,1726,1576,1331,1269,1389,988,925,894,785,726,719,644,559,609,493,468,447,415,324,384,332,303,353,209,256,234,237,262]
[465,523,555,647,722,779,778,814,902,993,1099,1156,1294,1461,1681,1790,2017,2650,2703,2843,3133,3770,4318,5263,4979,4366,4517,4297,4519,4477,4638,5191,5672,5698,5800,5059,5270,4997,4773,4964,5058,5817,6073,6485,6346,5666,5440,5281,5169,5150,5336,5855,6821,6965,6773,7303,5851,5606,5458,5491,5707,6263,6770,6949,6603,5957,5692,5642,5298,5368,5561,6266,6871,6783,6695,6018,5799,5566,5153,5320,5718,6111,6566,6906,6531,6139,5653,5493,5261,5336,5854,6050,8407,7157,6692,6122,5880,5587,5215,5247,5737,6106,6561,6523,6076,5681,5231,4877,4612,4471,4610,5189,5588,5331,4937,3889,3790,3118,2706,2354,2108,1716,1574,1515,1385,1335,1201,1004,934,1031,809,801,756,593,654,573,537,542,480,374,367,413,261,267,351,283,196,242,194,261]
[414,574,604,586,683,717,814,899,916,966,1118,1231,1360,1511,1726,1873,1923,2393,2749,2873,3875,3781,4231,4438,4081,3866,4281,4274,4298,4390,4614,4936,5366,5278,4901,4783,4624,4821,4699,4778,4987,5321,5783,5871,5242,4963,5074,5004,5167,5139,5192,5690,6163,6186,5526,5244,5239,5336,6346,5337,5437,5880,6486,6146,5686,5281,5404,5449,4938,5166,5488,5618,6288,5898,5572,5302,5334,4998,5075,5300,5224,5571,6182,6017,5748,5307,5210,5265,5382,5207,5434,5789,6396,5955,5419,6629,5443,4915,5273,5092,5159,5516,5748,5647,5092,5143,4817,4557,4650,4349,4287,4589,4758,4681,3651,3448,3312,2853,2488,2161,1912,1694,1598,1464,1472,1233,1222,1041,1048,891,875,692,843,576,527,510,456,487,483,417,416,343,278,327,248,334,181,252,296,182]
[526,579,619,676,712,709,718,868,1018,1057,1181,1305,1352,1437,1759,1893,2101,2299,2699,2731,3289,3564,4152,4971,3891,4033,3917,4184,4268,4600,4745,5007,5145,5394,4909,4706,4860,4735,4826,4891,4874,5511,5738,5763,5162,5095,4891,5120,5092,5391,5403,5718,5822,5950,5663,5431,5182,5201,5425,5227,5471,7169,6083,6077,5582,5284,5372,5372,5138,5316,5351,6045,6170,5941,5591,5275,5125,5194,5276,5368,5418,5755,6072,5851,5571,5216,5175,5350,5334,5225,5527,5668,6179,5804,5430,4865,5052,5103,6149,4968,5354,5635,5467,5364,5090,4921,4557,4554,4329,4259,4287,4644,4634,4263,3699,3166,3098,2674,2301,2134,1990,1678,1608,1437,1388,1233,1126,1028,964,944,916,793,670,639,654,612,453,453,413,403,316,374,354,308,289,289,239,176,206,167]
[484,522,593,546,700,823,794,925,924,1109,1139,1245,1347,1540,1798,1949,2061,2322,2826,2994,3340,4018,4149,4436,4145,4149,4934,4145,4433,4733,5196,5430,5495,5462,5121,4878,4785,4963,4831,5120,5481,5940,6140,5735,5562,5280,4892,5196,5513,5570,5957,6222,6613,6199,5985,5693,5468,5295,5228,5666,6173,6518,6838,7583,5872,5757,5419,5444,5587,5747,6043,6480,6637,6149,5713,5309,5251,5252,5203,5204,5559,6008,6367,6067,5408,5415,5106,5165,5181,5167,5804,6207,6232,6087,5680,5139,5127,5049,5309,5095,5627,7021,5819,5720,5097,4787,4573,4691,4602,4732,4796,4861,4945,4310,3912,3389,3151,2700,2371,2055,1797,1690,1601,1492,1402,1250,1084,1111,975,828,869,785,718,595,604,546,496,472,497,380,371,276,307,285,356,262,241,179,258,248]
[446,606,498,685,592,797,846,889,952,972,1098,1332,1395,1553,1826,1950,2123,2639,2954,3515,4128,4772,5138,5211,4618,4273,4145,4544,4412,6081,5787,6411,6331,5908,5740,5021,4819,4847,5026,5658,6385,6763,6814,6319,5897,5596,5467,5332,5454,5887,6685,7461,7476,7019,6411,5821,5575,5650,5748,6276,6664,7546,7584,7150,6585,5967,6587,5592,5883,6360,7093,7423,7153,6872,6611,5623,5615,5367,5701,6053,6572,6982,6987,6958,6238,5381,5439,5426,5802,6084,6547,7251,7115,6830,6190,5900,5455,5269,5792,5951,6300,7001,6706,6357,6882,5070,5073,4764,4908,5114,5608,6004,5583,5233,4339,3708,3291,2832,2676,2158,1951,1793,1664,1422,1346,1210,1093,1039,1062,882,797,739,645,594,496,488,516,461,474,353,359,437,330,261,318,331,207,220,208,155]
[532,566,568,665,624,826,757,804,924,1036,1202,1284,1436,1446,1722,1926,2138,2503,3113,3836,4475,5789,6975,6850,5604,4874,4812,4607,4697,5401,6204,7366,9521,7465,6340,5937,5661,5540,5585,6017,6929,7823,8250,7688,6884,6198,5895,5630,6102,6694,7075,8366,8926,8603,7483,6728,6193,5761,6199,7011,7670,8637,9193,8773,7561,6937,6168,5870,6370,6787,8899,8367,8951,8534,7332,6674,5810,5973,6035,6474,7205,7794,8761,7790,6847,6189,5908,5657,6134,6386,7094,8147,8995,8475,7087,6183,5985,6277,6113,6364,7132,7917,8596,7731,6765,5884,5430,5769,5273,5755,6256,7106,7261,6517,4978,4366,3863,3275,2700,2278,1937,1831,1689,1348,1398,1186,1115,1047,1003,877,853,788,736,666,630,508,574,495,473,495,391,326,407,372,379,254,197,242,162,185]
[475,550,546,627,680,710,772,841,847,1000,1162,1405,1264,1509,1728,1898,2057,2569,3173,4135,5127,7248,9376,8027,6745,5270,5081,4971,4962,6016,6509,8687,10519,9423,9151,6465,5882,5672,5805,6561,7248,9415,10634,9404,7795,6885,6108,6012,6246,6867,7918,10371,11596,10600,8541,7240,7075,6045,6961,7001,8630,10741,11846,10084,8199,7343,6483,6215,6701,7261,7972,12900,11646,10070,8165,7129,6254,6118,6386,6809,7623,9672,10852,9306,7803,6519,6064,6114,6405,6891,7763,10130,10970,9609,7590,6841,5918,5854,6011,6727,7938,10291,11291,9318,7463,6626,5585,5286,5902,7138,7188,9302,9347,7467,5636,4811,3841,3284,2734,2379,2047,1768,1685,1566,1369,1200,1094,1050,1073,839,706,777,623,624,556,582,449,405,392,358,434,411,359,264,251,281,335,206,180,184]
[666,481,566,638,707,772,810,854,999,1146,1136,1280,1402,1573,1722,1913,2146,2581,3181,3794,5256,7060,10057,9026,6952,6210,5021,4816,4896,5333,6441,8363,10895,10540,8260,6801,5933,6753,5659,6232,7502,9463,11046,9931,8226,7259,6200,5988,6145,6708,7776,10145,12741,11398,9082,7610,6717,6071,6246,6649,8087,10169,12776,11515,8759,7704,6529,6389,6431,6877,8203,10017,12442,11010,10336,7233,6401,6228,6351,6696,7422,8970,11092,9666,8009,6878,6142,5685,5936,6369,7582,9782,11636,10490,8090,7193,6282,5590,5797,6255,7151,9686,11695,10393,8079,6935,5975,5192,5227,5610,6559,8931,12410,8505,6208,5111,4096,3389,2874,2285,2027,1865,1606,1499,1398,1198,1055,1049,924,813,775,746,628,586,585,527,521,463,486,433,403,330,302,314,303,278,227,285,195,201]
[471,511,629,650,716,797,819,864,910,1055,1192,1264,1369,1493,1613,1878,1999,2374,2725,3559,4241,5708,7580,7452,6293,5532,5005,4631,4727,4934,6045,7138,8580,8323,7583,6607,5973,5178,5195,5612,7815,7927,9276,8946,7733,6795,6183,5523,5603,6193,7263,8734,10729,10230,8684,7456,6378,5896,5853,6364,7108,8715,9877,9797,8087,7131,6608,5682,5919,6398,7056,8604,9784,10005,8170,7387,6520,7040,5757,6103,6797,8138,9041,8820,7511,6718,6183,5518,5658,6001,6873,8115,9276,8901,7804,6532,6088,5626,5538,5869,6723,7955,9268,8865,7227,6456,5580,5062,4962,5418,5997,7332,8761,7553,7023,4926,4269,3500,2671,2296,2029,1826,1621,1479,1281,1210,1081,951,905,862,768,737,760,713,553,608,501,560,482,397,416,345,295,256,248,264,194,257,248,156]
[427,478,500,579,626,655,848,762,883,949,1139,1185,1197,1355,1675,1952,1972,2316,2634,3008,3567,4436,5252,5731,5431,4997,4763,4412,4367,4599,5112,5825,6648,6839,6785,6152,5471,5043,4773,5074,5342,6228,7290,8733,6716,6424,5847,5188,5360,5707,6104,7301,8130,8104,7288,6879,5951,5692,5457,5722,6472,7217,7818,7671,7074,6126,6050,5625,5362,5858,6242,7015,7570,7768,7182,6511,6059,5624,5391,5592,7228,6955,7493,7480,6667,6100,5873,5261,5209,5789,5988,7032,7379,6963,6646,5939,5457,5323,5117,5457,5978,6704,7093,7324,6422,5714,5254,4569,4603,4741,5286,5991,6801,6198,4953,4368,4157,3379,3219,2292,1986,1734,1586,1409,1219,1235,1110,1026,966,941,753,722,661,620,558,508,514,428,464,362,381,372,353,305,272,211,230,256,199,152]
[461,523,493,584,654,690,631,905,843,1180,1072,1161,1357,1508,1704,1844,2131,2172,2545,2744,3106,3907,4602,4866,4836,4542,4320,4363,4356,4425,4709,5196,5849,6128,5696,5329,5145,4907,4715,4679,5103,5502,6278,6686,6029,5758,6337,5115,5196,5258,5593,6444,6742,7061,6475,6017,5565,5179,5134,5311,5684,6238,6929,6857,6577,5921,5927,5570,5191,5386,5761,6109,6832,6760,6568,5688,5512,5356,5321,5455,5513,6266,6280,8048,6093,5677,5744,5257,5035,5045,5397,5876,6455,6557,6111,5794,5499,5089,4979,4991,5318,5613,6165,6187,6058,5234,4962,4663,4573,4215,4635,4904,5326,5439,4426,3664,3500,3144,2439,2138,2008,1987,1498,1360,1262,1111,1099,956,848,785,793,788,712,697,551,550,403,502,397,411,394,350,294,290,344,277,287,198,179,225]
[497,506,572,563,651,624,724,756,921,867,1157,1364,1242,1399,1597,1805,1887,2164,2408,2742,2915,3428,4066,4058,3907,3601,3880,4249,3910,4287,4312,4701,5000,5162,4841,4705,4553,4648,4438,4621,4651,5212,5531,5714,5156,4862,5111,4845,4836,5844,5078,5793,6045,6145,5555,5198,5159,5032,5204,4888,5206,5268,5963,5949,5387,5316,5377,4962,5192,5066,5048,5408,6231,5994,5304,5247,5255,5227,5057,5254,5150,5725,5968,6276,5490,5271,6367,5076,5005,5070,5209,5541,6052,5806,5192,5289,4786,4871,4616,4545,4918,5312,5266,5561,4914,4572,4576,4451,4215,4300,4132,4413,4595,4392,4011,3491,3022,2862,2395,2086,1788,1675,1416,1671,1313,1070,1019,1040,937,894,783,651,663,571,518,486,501,499,478,357,425,328,281,267,331,211,222,239,229,217]
[443,467,554,577,656,697,759,868,887,963,1101,1126,1211,1273,1524,2042,1979,2231,2406,2696,3171,3587,3688,3891,3744,3544,3722,4024,4140,4391,4559,4636,4990,4727,4542,4464,4491,4596,4585,4613,4763,5271,5596,5571,5106,4787,4652,4777,4864,4834,5227,5353,6978,5761,5363,4861,5126,5030,5027,5015,5047,5713,5833,5561,5257,5155,4874,5032,5017,5151,5357,5611,6057,5707,5345,4962,4858,5103,5390,5253,5498,5797,5993,5739,5296,4915,5085,4984,5240,6056,5461,5869,5958,5686,5284,4835,4990,4896,4728,4882,4741,5214,5462,5445,4734,4573,4488,4400,4322,4234,4490,4484,4680,4197,3523,3308,3081,2608,2320,2057,1989,1609,1411,1294,1306,1206,1317,989,976,824,830,689,592,589,642,558,471,482,462,436,314,344,365,334,279,289,251,299,249,182]
[490,467,522,600,635,735,723,747,920,895,1077,1138,1254,1376,1484,1686,1897,2643,2524,2850,3341,3706,4259,4176,4062,3868,3869,4137,4317,4333,4673,5274,5414,5351,4906,4688,4533,4751,4681,5055,5422,5702,5985,5883,5348,5163,4944,4880,4999,5005,5431,5721,6210,6130,5608,6412,4919,5029,5158,5383,5362,5892,5894,6047,5512,5050,4947,5090,5339,5503,5686,5960,6139,6058,5618,5419,5169,5477,5397,5554,5919,6531,6661,6347,5837,5572,5025,5052,5489,5540,6061,6352,7577,6242,5677,5359,5273,4988,4908,5131,5288,5499,5765,5508,5110,4731,4647,4654,4519,4653,4869,4951,4990,4691,4024,3529,3141,2719,2599,2141,1988,1648,1541,1434,1283,1208,1128,967,875,907,778,799,660,712,584,498,528,496,412,373,440,396,357,296,393,244,232,167,232,258]
[462,532,536,547,621,666,666,777,844,917,1145,1156,1163,1246,1527,1673,1927,2309,2637,3130,3886,5590,4825,4753,4352,3989,3800,4100,4570,4643,5461,5912,6058,5668,5360,5001,4830,4731,4818,5232,5961,6744,6747,6358,6053,5418,5167,5110,5135,5612,5907,6556,6878,6491,6114,5458,5147,5057,6341,5764,6169,6871,6720,6485,5621,5175,5050,5202,5481,5960,6470,7053,7038,6570,6128,5356,5257,5450,5540,6225,6817,7321,7633,7002,6333,5720,5364,5269,5524,5950,6709,7333,7289,7074,6240,6765,5442,5153,5244,5310,6081,6383,6600,6256,5495,5000,4618,4725,4805,5021,5860,6159,6105,5213,4628,3801,3286,2949,2510,2151,1953,1671,1553,1497,1340,1090,983,1030,866,775,750,748,670,705,557,547,497,505,444,440,428,370,359,331,275,284,269,289,198,274]
[502,515,510,651,651,633,808,799,889,863,1023,1120,1234,1484,1558,1840,2074,2510,2924,3550,4528,5217,5861,6874,4953,4473,4336,4285,4689,5213,6166,7108,7459,6792,6096,5247,5116,4675,5500,5810,6799,7698,8394,7640,6707,6065,5641,5318,5480,6073,6639,7153,7877,7651,6396,6167,5460,5272,5499,5661,6410,8760,7729,7108,6147,5722,5483,5454,5645,6309,7019,7708,8088,7404,6595,6131,5738,5776,6084,6617,7381,8534,9102,8028,7221,6224,5549,5523,6101,6620,7290,8034,8907,8745,7229,6411,5756,5615,6924,6179,6507,7485,7962,7666,6134,5678,4994,4821,5451,5730,6687,7302,7793,6426,5385,4622,3726,3183,2583,2270,1966,1533,1548,1423,1178,1144,946,1008,876,908,819,739,647,533,583,561,519,445,402,375,387,427,314,287,250,244,199,167,190,214]
[453,553,513,557,647,679,760,725,909,946,942,1171,1208,1277,1457,1677,1915,2283,3005,3992,4778,6346,8316,8476,6615,5479,4727,5313,4887,5458,6340,8017,9827,9004,7138,6015,5316,5159,5513,5992,7299,9343,10841,10038,8091,6612,5941,5447,5636,6257,6904,8859,10274,9575,8018,6563,5888,5450,5673,5885,6939,8318,9803,9019,8631,6493,5730,5492,6131,6602,7632,9204,10125,9733,8055,7037,6136,5624,6450,6779,7962,10835,12303,10572,8459,7092,6089,5960,6275,7129,7638,9886,11921,10857,8390,7017,6050,5701,5890,6434,6983,10898,10024,8536,6822,5956,5255,5312,5793,5771,7210,9241,9781,8011,5711,4850,4149,3277,2701,2225,1942,1655,1512,1415,1199,1133,975,1027,988,851,832,649,586,619,583,537,550,454,426,399,350,370,260,286,270,301,211,237,202,251]
[442,497,623,567,556,688,646,811,799,916,915,1117,1163,1276,1411,1620,1908,2165,2845,3478,4482,6862,9434,9090,6593,5387,5041,4492,4558,5981,6306,8550,10295,9301,7291,5937,5165,4868,4917,5485,6838,9500,11699,10267,8022,6731,5678,5088,5462,6149,6781,8929,11074,10410,8095,6649,5584,5332,5300,5956,6560,7941,9774,9264,7642,6609,5790,6432,5731,6101,7319,9449,10933,9722,7938,7052,6095,5716,6034,6415,8303,11462,12865,10372,8514,6894,5783,5778,6119,6524,7730,10733,13197,10842,8544,7019,5940,5784,5698,6203,7168,9234,11395,9921,9039,6000,5031,5092,5369,5627,7360,9647,10871,8403,6212,5158,3962,3179,2593,2236,1814,1583,1461,1295,1212,1199,973,932,791,857,714,705,616,624,558,527,470,467,441,352,353,386,363,281,238,246,200,243,273,219]
[372,502,543,575,563,629,724,774,768,871,990,1137,1185,1343,1459,1613,1805,2098,2373,2962,3729,5086,6563,6902,5704,5216,4818,4201,4285,4390,5355,6303,7729,9062,6394,5706,5215,4850,4576,5107,5939,7272,8642,8505,7373,6160,5619,4975,4940,5315,6132,7498,8658,8469,7251,6293,5758,5090,4969,5261,5816,7071,7468,7929,6969,6497,5462,5221,5202,5188,7358,7538,8734,8630,7565,6471,5945,5237,5512,5784,6668,7851,9216,8822,7348,6491,6070,5277,5281,5860,6851,8328,9604,9584,7922,6722,5740,5152,5167,5277,6007,7037,8164,8364,6825,5884,5338,5529,4679,5343,6034,7226,8442,7278,5610,4725,3972,2981,2393,2204,1832,1715,1491,1268,1200,1048,896,866,851,791,705,714,632,604,485,532,587,510,423,360,409,308,358,352,403,224,246,264,182,144]
[448,470,562,593,610,667,630,694,771,884,1021,1060,1077,1272,1348,1614,1678,2109,2383,2725,3353,4327,5142,5076,4807,4350,4120,3674,3905,4317,4756,5548,5680,6041,5665,6230,4636,4417,4269,4669,5347,6063,6615,6700,5979,5506,5206,4728,4630,4801,5582,5947,6996,6836,6060,5436,5242,4872,4719,4663,5441,5886,6283,6662,6011,5678,5134,4854,4822,5022,5578,6397,7247,8212,6293,5774,5011,4895,4919,5447,6208,6893,7457,7312,6331,5762,5344,5164,4914,5241,6110,7520,7741,7507,6572,5896,5375,4798,4420,4767,5211,5962,6536,6367,5546,5283,4502,4369,4069,4497,6070,6211,6186,5455,4504,4142,3710,3027,2406,1982,1735,1654,1234,1255,1113,1068,930,914,860,817,691,668,565,652,552,570,523,503,389,332,381,307,354,242,232,244,286,252,199,159]
[410,477,436,513,593,607,653,709,731,837,917,1023,1091,1169,1399,1506,1785,2064,2171,2396,2754,3566,4155,4641,4137,3888,3717,3902,3809,3764,4034,4254,4874,5296,4874,4379,4357,4218,5018,4390,4406,5245,5639,5790,5411,4786,4876,4850,4393,4400,4606,5243,5800,6098,5313,4916,4668,4855,4483,4494,4730,5489,5814,5842,5454,5082,4680,4755,4364,4667,4863,5508,6101,6310,5579,6242,4982,4803,4759,4630,5159,5929,6336,6171,5482,5270,4962,4762,4529,4768,5008,5913,6410,6434,5807,5425,5221,4798,4556,4474,4740,5008,5559,5576,5024,4548,4396,4066,4211,3987,4227,4671,5166,6047,4065,3478,3232,2746,2256,1921,1650,1347,1234,1261,1073,1103,967,896,876,790,682,735,583,590,582,513,490,403,405,348,394,311,311,246,336,250,217,205,226,194]
[359,478,475,469,676,634,660,776,710,837,939,1029,1083,1195,1228,1371,1526,1859,2235,2215,2721,3265,3595,3706,3052,3163,3429,3433,3603,3682,3731,4080,4556,4287,4076,3843,3942,3972,3945,4067,3932,5375,5063,4602,4356,4114,4346,4332,4052,4242,4349,4813,5405,4920,4514,4551,4558,4403,4431,4171,4528,4714,5064,5171,4551,4360,4396,4422,4245,4317,4572,5141,5586,5412,4856,4617,4719,4426,5332,4782,4579,5142,5464,5216,4817,4632,4691,4681,4394,4462,4577,5247,5658,5304,4783,4417,4721,4212,3994,4141,4119,4544,5001,4812,4332,4188,4028,4019,3830,3648,3830,3959,4396,4284,3541,3010,3391,2477,1971,1717,1555,1320,1311,1221,1063,952,889,794,894,741,716,662,603,611,560,558,438,463,399,345,382,388,301,298,264,215,218,257,208,227]
[344,520,488,523,632,698,722,724,840,905,957,1034,1125,1218,1503,1496,1908,2063,2388,2753,3175,3456,3529,2809,3194,3279,3074,3466,3604,3807,4103,4236,4263,3869,3624,3889,3690,3734,3828,4020,4431,4609,5126,4050,3875,3765,4204,4015,4009,4225,4633,4958,4798,4270,4148,4188,3992,4146,4127,4436,4986,4970,4929,4353,3882,4140,4120,4340,4168,4527,4889,4941,4872,4408,4322,4538,4016,4395,4307,5492,4943,5220,4713,4255,4268,4251,4324,4211,4200,4585,5011,5195,4973,4305,4163,4105,4064,3818,3914,4100,4626,4606,4252,3859,3518,3758,3417,3879,3699,3660,4086,4132,3594,3135,2853,2805,2088,2395,1700,1635,1360,1228,1254,1019,895,963,895,756,711,804,700,680,576,544,483,497,517,411,356,361,357,375,279,320,226,214,231,223,225,147]
[407,369,429,539,565,570,681,761,734,740,736,913,1006,1046,1115,1361,1526,1762,2162,2165,2739,3274,3379,3391,3272,2850,2828,3125,3149,3472,3742,4222,4387,4376,4024,3511,3391,3378,3403,3870,4146,4705,4863,4689,4407,4590,3755,4015,3981,4300,4510,4882,5125,4847,4496,3974,4022,3878,4146,4417,4777,5203,5351,4969,4758,4333,4076,4060,4135,4609,4805,5152,5358,5207,4759,4201,4275,3887,4523,4298,4564,5128,6300,5023,4396,4135,4087,4213,4069,4398,4786,5176,5052,4813,4530,3929,3914,3842,3591,3921,4251,4340,4627,4313,3901,3580,3671,3481,3685,3727,3990,4198,4322,3658,3029,2796,2605,2282,1931,2075,1539,1237,1298,1189,1112,1013,863,805,721,745,786,646,599,528,522,506,414,401,373,347,272,368,322,258,224,204,218,193,247,213]
[396,439,401,565,479,618,670,693,706,801,960,871,1044,1141,1194,1444,1485,1868,2216,2735,3434,3904,4058,3998,3431,3090,2935,3032,3316,3633,4193,5063,5020,4776,4599,3673,3614,3407,3651,3917,4633,5262,5341,4959,4480,3918,3889,4567,4105,4198,4883,5384,5408,5235,4913,4269,4044,4051,4112,4626,5226,5689,5797,5637,4846,4558,4079,4171,4504,4465,5058,5471,5675,5444,5010,4545,4246,4066,4175,4655,5272,5703,5609,5366,4875,5381,4016,4019,3917,4535,5088,5664,5481,5157,4392,3941,4027,3744,4142,4128,4352,4800,4859,4561,4268,3621,3348,3424,3562,3826,4452,5027,4708,4101,3625,2845,2685,2188,2001,1817,1567,1328,1521,1113,1076,1048,917,883,814,666,682,708,524,495,556,422,410,442,359,351,332,254,329,302,338,303,293,185,250,186]
[408,459,374,450,538,539,617,603,661,660,806,867,884,1223,1153,1327,1568,1849,2162,2765,3434,4251,5000,4897,3971,3326,3382,3160,3290,4019,4717,5367,5896,5337,4603,4003,3865,3609,3513,4144,4684,5601,6222,5939,5037,4339,3961,3831,3859,4524,5082,7012,6438,5856,5146,4502,4318,4069,4297,4933,5527,6536,6602,6323,5484,4858,4474,4273,4270,4790,5476,6187,6651,6416,5468,4867,4216,4022,4296,4781,5426,6238,6724,6486,5439,4872,4350,4008,5070,4658,5443,6444,6285,5499,5022,4542,3911,3832,3768,4246,4666,5477,5702,5042,4398,3854,3453,3543,3769,4222,5054,5587,5691,5028,3935,3351,2933,2327,1970,1714,1579,1323,1274,1127,1037,1229,911,966,724,764,735,586,569,596,498,473,440,441,424,314,393,318,284,327,235,249,186,191,186,211]
[372,351,437,455,496,595,534,600,606,778,749,722,867,961,1009,1185,1695,1673,2148,2670,3668,4928,6706,6271,4755,3862,3416,3204,3391,3877,4695,5964,6960,6914,5384,4413,4006,3591,3682,4172,5109,6790,7857,7145,5508,4793,4282,3831,3933,4679,5639,6954,8052,7566,7229,4932,4332,3875,4398,4948,5905,7736,9049,7587,6242,5217,4565,4495,4441,5068,5725,7192,8331,7346,6054,4911,4443,4245,4268,4785,5955,7326,8607,7462,5661,5243,4466,3987,4166,4690,5670,8404,7963,7168,5508,4526,4102,3854,3791,4125,4851,6164,6911,5912,4784,4280,3821,3590,3878,4418,5489,6959,7470,5790,4501,3725,2896,2353,1916,1688,1432,1382,1156,1075,1144,941,918,872,967,724,691,568,530,500,476,360,440,379,391,368,291,236,315,280,232,171,252,178,213,178]
[488,371,376,429,529,549,542,581,629,742,669,846,887,990,1117,1148,1284,1538,2008,2948,3639,5240,7089,6363,4796,3872,3274,3398,3327,3780,4998,6701,7737,7108,5406,4163,3599,3551,3494,4126,5167,6783,7773,6796,5581,4713,4129,3855,3883,4259,5307,6706,8056,7342,5884,5006,4203,4772,4031,4519,5825,7773,8714,7453,5946,5021,4335,4140,4056,4601,5503,7144,7816,6889,5705,4785,4231,4275,4198,4560,5454,7072,7984,7036,5704,4947,4092,3867,3989,4485,5179,6707,7740,7179,6619,4545,4010,3612,3609,4145,4635,6068,6656,5794,4603,4060,3578,3432,3438,4031,4981,7302,7504,5869,4629,3592,2845,2373,1815,1652,1296,1242,1224,1014,917,865,857,829,810,687,661,684,629,568,569,406,488,386,338,381,332,252,314,255,302,205,177,247,261,152]
[425,421,405,495,378,499,521,587,694,611,707,748,894,869,841,1006,1161,1263,1643,1997,2630,3640,5726,4889,4076,3366,3092,2779,2904,3100,3759,4843,5629,5458,4593,3829,3475,3200,3225,3421,4245,5068,5855,5885,4919,4155,3655,3588,3443,3538,4332,4927,6080,5970,4942,4148,3851,3625,3449,3658,5497,5894,6374,6053,5082,4261,3837,3576,3613,3833,4317,5271,5898,5792,5118,4168,3885,3724,3496,3747,4310,5127,6143,5719,4889,4156,3623,3530,3215,3423,4169,4760,5588,5860,4876,4004,3555,3882,3177,3230,3744,4311,4814,4546,4100,3470,3280,3004,2925,3266,4240,5044,5404,4778,3886,3173,2571,1997,1810,1455,1277,1192,1052,958,945,814,719,781,635,628,639,552,516,518,523,459,366,342,328,329,339,292,231,217,247,218,255,164,154,219]
[343,340,416,400,488,511,525,622,609,602,649,707,843,863,901,947,1038,1115,1242,1490,1961,2753,3180,3463,3490,3593,2558,2334,2233,2436,3064,3594,4281,4259,3903,3407,2844,2780,2605,2849,3116,4092,4317,4383,4256,3713,3285,3006,2790,3137,3688,4033,4691,4601,4284,3624,3351,3122,2732,3177,3647,4400,4920,5959,4305,3911,3326,3197,3013,3179,3765,4239,4729,4576,4274,3814,3210,3135,2790,3161,3725,4426,4766,4475,3969,3391,3145,2957,2655,2978,3426,4008,4241,4297,3976,3548,3024,2682,2687,2579,3795,3624,3873,3854,3162,2934,2654,2605,2455,2733,3432,3833,3628,3492,3316,2569,2371,1881,1606,1429,1235,1071,959,980,903,859,786,717,665,690,561,574,486,457,366,500,411,379,355,320,302,353,300,318,276,232,232,232,175,214]
[356,342,416,426,473,439,527,570,529,647,699,621,649,742,862,911,908,1116,1189,1423,1539,1973,2504,2949,2811,2561,2295,2221,2451,2105,2396,2871,3147,3481,3221,2714,2495,2420,2421,2402,2623,3183,3475,3747,3451,3101,2696,2497,2535,2630,3116,3363,3613,3852,3743,3101,2857,2585,2694,2713,3178,3557,3764,4108,3638,3928,2866,2866,2780,2789,3101,3544,3957,3900,3427,3095,2930,2625,2644,2769,3239,3295,3691,3882,3381,3128,2853,2654,2625,2630,2941,3078,3441,3621,3390,2862,2683,2452,2321,2492,2736,3081,3129,3841,2828,2527,2272,2262,2144,2347,2603,2939,3088,2985,2651,2151,1878,1521,1419,1215,1213,1058,965,841,787,795,812,614,635,649,571,572,467,539,390,441,356,330,355,359,367,267,207,301,195,243,248,194,192,182]
[341,402,441,357,392,392,477,490,527,487,554,580,686,727,826,805,980,946,975,1155,1334,1694,2218,2068,2249,2018,1997,1891,1930,1878,1948,2771,2686,2582,2698,2364,2281,2304,2185,2231,2381,2522,2676,2910,2576,2703,2454,2329,2317,2373,2390,2827,2923,3026,2756,2739,2564,2390,2338,2423,2452,2748,2982,2957,3049,2772,2573,2622,2980,2590,2549,2801,3199,3098,2843,2643,2565,2628,2501,2433,2610,2819,2959,2918,2874,2802,2443,2216,2496,2370,2536,2759,2850,2852,2781,2634,2470,2259,2289,2198,2407,2611,2505,2408,2392,2301,2296,2126,2052,2075,2084,2276,2454,2107,2083,1845,1602,1441,1225,1166,1071,920,775,835,870,710,670,689,625,570,529,452,528,485,450,415,357,382,380,352,263,308,273,265,278,270,218,221,145,172]
[347,331,324,389,359,449,384,536,502,510,617,576,587,650,716,839,864,908,948,991,1168,1345,1409,1657,1532,1692,1723,1560,1759,1749,1760,1745,1994,1985,1950,2326,1889,2005,1774,1852,2044,2077,2254,2136,2130,2102,2206,2086,1989,2119,2169,2166,2341,2332,2337,2216,2279,2068,2262,2184,2186,2418,2247,2463,2395,2323,2250,2226,2301,2179,2302,2256,2925,2413,2413,2334,2349,2103,2266,2187,2098,2254,2292,2341,2274,2152,2112,2184,2014,1954,2120,2341,2238,2238,2195,2057,2099,1977,2128,2047,1911,2064,2016,2052,2104,1964,1963,1874,1854,2201,1783,1779,1731,1781,1749,1576,1338,1286,1117,1116,1061,1005,936,803,809,751,717,601,546,545,511,541,409,479,377,372,379,334,326,337,288,274,285,183,280,196,274,218,183,152]
[374,379,352,429,365,439,400,488,505,497,501,701,661,628,775,771,748,902,980,998,1097,1228,1275,1228,1291,1312,1459,1483,1551,1473,1502,1619,1495,1517,1672,1691,1643,1591,1948,1837,1808,1716,1750,1705,1810,1813,1828,1768,1900,1950,1877,1960,2008,2006,2037,1884,1942,2063,1912,2067,2128,2118,2138,2007,2002,2051,1903,2097,2034,2120,2013,1975,2125,2074,1998,2514,1829,1987,2098,1904,2100,2062,2081,1891,2030,1912,2012,1887,2072,1950,1798,1939,2000,1968,1899,1773,1947,1658,1745,1830,1714,1946,1810,1807,1647,1773,1579,1665,1526,1521,1528,1538,1555,1726,1403,1272,1317,1112,1082,1050,989,846,798,764,799,699,700,667,598,541,529,456,487,515,451,316,312,355,321,347,252,228,261,229,216,240,191,203,207,140]
[312,378,361,336,435,387,436,443,444,537,494,634,596,677,638,680,783,791,731,877,959,1025,1118,1174,1114,1201,1225,1269,1365,1364,1359,1366,1403,1407,1500,1573,1605,1457,1538,1551,1602,2072,1665,1611,1587,1636,1700,1529,1619,1702,1772,1703,1862,1719,1707,1766,1759,1649,1750,1760,1878,1800,1932,1813,1816,1830,1864,1794,1892,1902,2003,1820,1888,1788,1896,1853,1833,1876,2342,1864,1787,1912,1849,1788,1793,1813,1900,1722,1744,1784,1765,1721,1824,1744,1750,1694,1600,1753,1639,1718,1629,1649,1647,1599,1548,1555,1539,1491,1498,1498,1459,1267,1373,1301,1277,1466,1071,1138,988,988,940,796,861,772,720,649,617,637,571,631,497,459,469,329,397,366,333,388,250,315,309,303,266,312,230,230,227,225,126,133]
[357,268,272,318,349,354,380,509,497,476,509,598,505,612,725,684,650,722,695,831,864,887,1025,956,1062,1020,1102,1108,1261,1233,1246,1258,1257,1375,1514,1433,1339,1437,1355,1400,1555,1391,1566,1592,1821,1681,1500,1523,1624,1642,1588,1605,1702,1672,1699,1632,1777,1619,1625,1824,1815,1769,1714,1755,1762,1672,1805,1689,1639,1787,1682,1717,1700,1826,1792,1728,1798,1659,1756,1704,1810,2191,1568,1694,1746,1606,1587,1661,1647,1714,1548,1587,1715,1645,1645,1674,1542,1463,1479,1561,1563,1521,1514,1405,1442,1490,1232,1363,1450,1331,1339,1262,1199,1275,1217,1027,999,1006,973,1152,934,859,846,748,719,655,629,601,544,486,500,437,422,467,391,364,363,284,336,248,208,262,265,216,238,255,181,222,255,129]
[284,378,304,361,349,308,401,430,386,426,621,524,510,588,611,611,663,694,610,699,843,853,763,891,896,969,1049,1008,1031,1158,1183,1272,1308,1229,1234,1285,1385,1338,1309,1291,1476,1460,1474,1437,1488,1384,1474,1658,1507,1528,1515,1423,1607,1581,1668,1463,1508,1471,1543,1488,1641,1773,1748,1593,1637,1550,1664,1571,1570,1494,1550,1696,1681,1595,1656,1517,1583,1597,1567,1611,1539,1600,1611,1577,1834,1612,1497,1467,1525,1550,1387,1572,1585,1551,1505,1532,1431,1493,1373,1450,1476,1454,1320,1432,1393,1319,1352,1370,1273,1214,1137,1092,1077,1147,1020,1027,924,934,864,896,800,795,773,740,631,706,566,530,563,462,450,441,457,419,385,290,325,304,323,251,290,334,247,311,237,191,247,210,192,217]
[246,254,325,349,322,355,384,369,397,392,434,491,611,624,520,572,635,537,640,736,772,775,816,814,895,907,848,1029,986,991,1067,1186,1178,1196,1079,1196,1236,1124,1202,1220,1263,1398,1316,1358,1355,1419,1287,1292,1411,1406,1654,1388,1447,1414,1480,1491,1466,1301,1395,1434,1566,1537,1491,1684,1469,1443,1422,1452,1438,1489,1625,1562,1614,1526,1628,1582,1474,1435,1434,1462,1576,1558,1440,1425,1427,1472,1355,1345,1542,1390,1370,1428,1440,1365,1437,1305,1143,1437,1403,1304,1362,1308,1275,1392,1144,1256,1255,1176,1093,1117,1197,1191,967,975,965,920,763,921,835,757,789,739,701,722,654,647,488,585,497,493,422,447,447,424,366,383,248,253,262,274,243,282,289,222,239,268,184,187,203,233]
[369,277,333,289,387,354,361,360,403,385,364,471,543,446,581,616,711,598,574,663,731,711,788,766,883,792,880,928,911,949,994,1012,1087,1072,1041,967,1030,1049,1124,1155,1184,1217,1248,1143,1238,1208,1234,1079,1260,1204,1258,1354,1360,1566,1300,1359,1228,1258,1306,1415,1320,1365,1417,1381,1409,1362,1318,1331,1256,1484,1200,1325,1442,1309,1344,1461,1427,1327,1390,1319,1367,1388,1386,1469,1297,1310,1348,1302,1401,1319,1439,1363,1304,1236,1153,1281,1285,1144,1258,1237,1120,1185,1286,1172,1159,1181,1095,1031,1018,990,1050,1004,911,989,857,864,883,739,766,826,787,779,693,620,567,621,567,524,509,449,431,403,482,357,331,362,301,325,304,284,254,233,296,162,210,241,194,249,195,159]
[259,349,217,367,315,286,372,388,434,360,366,435,413,486,475,483,494,597,598,714,667,667,716,692,773,795,728,937,799,779,918,890,1073,1050,1050,924,950,1061,960,1196,1166,1096,1094,1085,1136,1064,1133,1120,1257,1348,1123,1135,1162,1313,1276,1153,1541,1264,1318,1245,1332,1239,1411,1327,1324,1310,1271,1274,1173,1285,1333,1370,1206,1385,1300,1201,1314,1236,1290,1303,1277,1201,1261,1425,1117,1222,1200,1165,1170,1243,1216,1245,1224,1485,1162,1179,1180,1052,1098,1099,1180,1173,1244,1120,1106,1022,989,994,1017,901,870,941,886,865,870,813,727,801,697,752,692,684,573,664,563,568,491,457,443,453,435,521,308,423,376,304,279,320,277,242,202,272,255,280,189,200,181,213,152,182]
[235,301,337,326,302,330,328,378,418,356,347,422,459,494,461,503,524,576,501,537,615,625,696,712,779,612,829,728,746,826,885,870,1002,789,885,924,915,951,983,973,999,950,1010,1003,1021,1011,1023,1092,942,1130,1112,1080,1128,1100,1029,1149,1058,1175,1162,1342,1193,1153,1208,1230,1120,1069,1025,1150,1175,1089,1111,1132,1246,1149,1112,1196,1023,1000,1111,1061,1230,1073,1272,1114,1044,1057,1161,963,1028,1105,1017,1152,1038,1096,993,1073,998,1241,929,1019,1044,1023,1183,956,961,939,953,883,811,726,745,776,842,799,713,694,746,695,668,642,570,559,524,610,506,518,469,517,507,470,527,336,368,393,395,271,354,296,343,227,185,191,307,210,226,244,198,171,156,229]
[301,358,269,286,329,394,332,320,395,416,439,446,421,388,400,484,498,475,495,609,562,560,593,630,775,754,674,696,767,792,661,803,826,817,831,891,783,849,918,908,1029,1054,988,915,1003,960,991,993,982,1090,1007,1061,1086,1116,1074,1055,956,1054,1051,1108,1029,1140,1318,999,1094,1026,1034,1023,1019,1099,1143,1094,1087,1085,1131,982,1023,1000,1093,1117,1136,1056,1033,982,1108,1058,1003,978,971,1043,1119,1052,1006,927,1046,1008,957,877,899,877,1216,883,905,891,928,903,805,835,780,821,856,842,810,824,639,608,668,672,588,621,662,592,489,530,533,516,508,472,464,407,439,460,350,341,349,269,289,254,263,177,239,260,206,164,238,170,210,208,171,168]
[231,323,295,249,285,287,330,333,336,376,309,456,305,378,297,367,545,542,420,519,433,564,533,625,660,599,625,650,771,616,751,775,728,720,820,889,813,845,831,895,907,947,844,861,872,925,900,925,897,932,887,1011,1057,1000,900,964,900,1019,971,973,951,981,991,1012,983,1199,1041,1002,1042,1059,1088,969,1007,986,1023,811,1099,959,995,977,1058,1015,949,966,1071,975,850,901,1028,936,861,926,925,960,894,812,950,948,845,937,917,900,951,921,836,780,754,738,868,760,664,742,695,793,771,658,574,558,620,592,622,510,506,528,540,502,359,424,504,468,442,382,407,306,288,326,250,223,276,236,248,204,176,210,149,169,262,140,130,128]
[196,314,217,251,222,368,251,254,353,298,367,439,401,392,462,444,398,468,450,494,480,512,575,530,498,548,544,624,616,632,589,822,668,675,689,727,680,770,810,803,789,749,875,743,802,826,814,808,855,900,815,834,833,998,941,936,980,912,873,934,938,816,975,875,923,901,908,875,1092,943,899,990,781,886,897,875,968,879,943,923,938,892,914,948,893,905,830,908,907,853,1002,840,968,929,865,926,716,851,882,746,890,881,818,810,724,1002,752,670,722,617,689,638,625,702,596,667,649,567,552,581,555,491,474,564,517,491,453,420,394,415,344,383,342,333,291,238,363,277,234,250,189,194,179,199,219,166,145,155,169,102]
[224,291,264,261,345,256,232,312,280,275,340,343,332,315,411,339,347,378,451,446,481,535,402,483,420,588,489,542,654,627,578,642,631,654,836,682,694,714,717,678,768,781,763,734,763,807,725,855,873,787,913,850,796,783,850,944,820,839,897,958,827,864,981,821,812,938,822,793,872,954,860,1012,890,807,896,843,831,893,907,859,845,837,824,815,786,1004,957,891,812,828,781,824,800,858,879,686,704,696,758,773,762,680,738,801,764,739,623,574,767,625,602,551,625,633,600,529,582,572,534,470,492,432,405,405,458,515,351,424,464,411,347,386,299,339,349,337,279,258,252,204,198,162,189,123,194,244,189,214,96,123]
[218,210,282,256,233,274,313,343,277,388,250,349,368,275,335,324,353,371,399,463,424,405,407,442,423,402,562,517,567,493,569,602,586,616,572,666,615,709,628,694,621,721,735,710,761,722,691,722,814,758,727,790,797,801,738,841,752,786,780,728,829,861,777,839,734,884,813,801,769,850,875,820,794,850,910,757,825,732,778,797,774,772,806,687,775,810,736,655,820,676,694,718,700,814,791,763,767,770,769,745,780,752,614,626,635,675,632,575,611,628,612,741,542,591,525,645,527,503,492,524,414,459,393,395,378,376,403,423,363,323,347,315,322,346,333,274,262,222,202,269,274,185,181,138,175,145,141,150,92,153]
[284,229,271,260,238,307,342,328,259,389,295,318,323,359,363,352,389,334,446,366,447,365,459,443,476,470,474,521,534,449,520,518,548,595,601,646,554,522,609,597,816,710,708,600,683,638,715,651,657,714,742,746,774,760,739,819,785,723,716,696,710,869,748,755,745,798,738,706,859,769,787,833,744,828,818,685,747,876,785,734,745,710,773,783,798,716,777,747,894,766,778,799,660,718,753,592,647,653,722,691,726,608,685,603,657,619,650,628,604,580,543,622,553,453,651,535,415,502,461,499,339,397,372,460,347,384,342,305,395,328,279,322,253,267,301,263,279,238,185,258,223,150,166,210,213,185,159,180,94,96]
[170,163,280,277,215,266,228,263,300,224,333,229,315,265,308,265,272,388,428,449,425,397,476,455,397,378,505,483,529,442,512,573,463,607,513,564,564,579,581,561,678,608,650,756,620,596,641,594,617,733,709,689,656,675,668,708,694,729,788,751,649,799,674,722,691,733,640,653,755,666,736,788,700,703,753,647,751,738,690,690,769,653,702,786,703,624,641,663,673,650,650,636,699,589,655,657,736,568,619,546,613,618,571,591,564,589,480,522,517,566,506,510,483,519,466,490,410,474,470,392,432,393,410,461,437,360,409,364,288,301,302,284,322,225,289,199,193,241,222,177,272,222,184,198,252,244,110,175,162,109]
[190,253,229,241,335,236,324,275,298,304,261,321,347,294,332,274,253,390,371,395,382,445,300,430,395,426,412,485,478,464,442,460,501,472,481,564,501,568,490,588,530,590,559,586,563,552,670,611,546,612,727,682,668,666,628,592,558,617,675,626,682,635,663,645,651,669,686,667,629,629,656,672,628,683,663,621,659,639,633,544,699,645,613,750,649,612,573,530,662,567,636,640,592,612,553,599,597,530,567,471,514,631,578,546,513,502,516,470,524,450,452,533,412,464,506,397,463,414,351,391,393,483,334,396,336,329,332,370,354,304,351,340,210,302,222,235,244,306,282,175,230,152,153,118,201,199,205,216,98,163]
[221,191,187,219,208,205,231,272,237,242,296,310,263,321,260,278,298,362,288,305,376,374,391,406,400,369,332,377,417,456,471,434,369,451,509,484,459,556,463,486,508,560,546,531,582,513,623,607,593,725,567,539,559,595,616,592,670,652,612,618,614,713,626,565,594,655,617,599,649,702,616,527,597,541,614,668,577,591,599,589,620,607,676,659,600,546,738,613,625,600,503,576,539,600,556,511,531,535,517,475,449,499,515,522,390,488,513,563,421,465,437,522,424,369,418,458,417,405,359,441,419,360,374,325,317,375,306,313,312,314,291,290,295,282,252,204,279,250,188,204,185,154,215,188,124,204,187,118,90,88]
[218,198,157,259,228,219,263,201,233,316,263,199,322,299,279,244,326,312,325,290,272,329,387,298,406,413,412,354,375,364,452,431,384,431,423,430,471,453,543,455,449,441,450,427,459,570,461,481,510,488,594,666,556,635,486,583,514,480,577,623,616,653,592,514,564,612,466,536,597,650,558,567,550,650,524,566,511,617,611,567,571,566,536,512,594,560,531,508,546,681,559,511,487,534,468,427,577,543,466,534,533,450,507,511,469,449,495,476,452,502,416,417,384,392,367,324,395,325,338,312,321,292,300,266,347,343,320,277,279,263,303,274,243,168,231,164,156,260,188,132,155,163,147,100,146,157,164,140,162,119]
[205,232,163,243,223,249,255,238,254,281,256,280,239,268,319,280,305,264,285,295,329,354,258,364,336,391,379,385,340,425,399,493,409,492,377,452,410,450,429,397,504,431,570,550,456,481,467,439,459,584,457,535,474,546,491,568,473,542,512,550,577,552,484,561,520,615,540,513,488,623,608,595,474,544,581,504,527,496,483,472,497,565,655,560,539,544,433,451,497,549,439,482,664,504,416,381,459,444,477,441,463,475,434,393,465,435,409,406,428,392,413,353,357,373,333,318,405,326,310,305,328,301,334,335,318,320,312,249,333,377,314,250,245,207,248,243,164,229,166,110,197,98,125,202,88,98,201,172,126,197]
[213,222,177,201,261,231,259,302,266,229,252,211,178,215,237,279,209,320,319,239,271,299,280,312,322,269,364,274,342,397,370,316,370,307,404,406,466,430,454,420,441,488,409,457,400,443,485,496,477,493,522,491,481,494,442,493,498,530,403,500,466,490,454,493,489,461,492,501,459,463,610,554,464,507,477,461,631,529,554,457,594,526,470,432,471,443,462,450,543,404,442,469,419,454,380,516,490,403,411,381,433,421,511,384,408,433,333,358,414,327,450,363,305,362,342,384,282,401,254,330,253,318,246,252,290,224,342,279,272,262,238,277,254,254,171,206,233,163,144,213,185,203,198,182,202,178,157,110,106,84]
[178,232,187,240,188,248,163,231,278,262,186,214,250,232,255,271,330,270,319,266,229,335,279,318,261,308,272,376,367,375,347,405,360,413,391,427,353,426,385,424,335,447,383,446,478,477,437,380,456,400,390,421,435,444,467,514,479,501,536,450,619,433,473,489,528,489,421,517,421,490,474,482,474,450,405,500,417,523,510,455,455,509,474,541,417,454,387,377,471,420,442,403,408,413,392,400,405,350,478,468,423,358,411,313,404,367,399,305,382,412,424,376,355,289,336,272,267,301,291,273,350,302,245,329,316,312,268,255,242,278,187,200,233,233,165,226,189,162,144,214,215,122,94,192,74,144,98,94,197,58]
[188,204,224,174,232,295,254,250,237,145,223,198,227,197,223,273,266,319,279,237,350,255,305,276,336,305,311,313,344,301,263,304,372,361,343,288,412,312,388,350,439,342,378,388,379,361,440,473,331,392,452,402,454,364,444,429,452,526,388,457,442,438,449,532,460,445,474,468,490,498,438,474,515,475,470,452,444,460,476,385,416,373,386,389,413,455,392,408,431,391,498,419,370,440,388,450,389,443,357,377,397,421,368,300,336,429,386,340,297,342,363,302,286,288,356,239,245,312,232,265,307,265,289,324,217,233,305,271,231,168,187,202,249,251,221,205,143,197,205,216,187,82,90,209,147,121,88,100,185,88]
[203,217,169,176,161,116,237,217,150,193,238,186,237,239,197,245,264,227,246,285,213,253,222,307,335,219,349,342,253,338,306,361,377,310,353,385,370,356,332,360,396,373,333,310,421,359,376,463,443,381,441,430,343,394,360,416,393,405,450,411,466,394,428,374,345,393,504,461,442,422,468,405,417,442,451,405,414,380,395,410,363,453,325,370,454,379,450,392,327,426,392,436,421,373,389,396,374,398,371,355,333,328,361,362,371,387,331,363,241,287,337,308,336,275,266,282,320,351,285,320,251,314,245,261,218,193,211,258,190,225,161,219,269,192,163,212,191,180,161,164,179,213,204,196,98,76,86,135,84,64]

{"sheet":"Figure_1D_layer_14","index":14,"n_rows":150,"n_cols":150,"rows_kept":150}
[64,82,52,50,50,58,56,62,62,92,56,46,56,84,56,76,54,175,94,171,98,96,80,98,68,198,163,250,236,139,200,198,155,158,179,166,243,245,217,178,176,196,216,151,219,134,130,246,196,159,218,203,223,211,171,150,225,177,164,222,195,207,224,151,196,221,279,185,228,150,173,159,219,265,203,234,238,192,252,213,239,190,189,217,265,258,162,201,184,243,212,157,179,183,252,239,172,145,232,157,92,174,156,209,230,220,140,259,165,173,202,214,157,98,151,214,170,82,94,94,200,161,70,72,66,96,62,66,48,58,46,52,62,56,50,48,40,48,42,50,32,28,36,42,50,44,56,50,50,30]
[56,60,72,50,72,68,46,64,88,72,54,84,96,88,180,107,94,168,96,190,197,213,241,218,165,149,204,182,224,178,183,160,209,249,206,220,230,238,261,173,210,194,181,215,186,207,232,173,211,240,292,230,183,224,166,154,173,188,200,226,265,206,199,215,241,241,243,213,237,189,224,210,156,211,253,219,188,210,165,265,216,248,289,163,289,189,190,312,238,165,158,235,266,274,217,209,264,148,210,194,165,247,223,151,179,214,214,191,184,178,208,159,134,86,158,147,162,202,147,88,96,60,119,66,88,62,84,86,48,56,66,58,62,44,44,38,52,40,44,60,46,38,38,42,40,32,42,50,42,52]
[54,46,84,58,44,66,86,68,74,82,74,74,70,84,163,174,193,215,209,184,197,210,200,230,176,162,194,209,237,219,237,251,222,219,255,233,271,164,184,259,287,252,239,213,216,267,186,263,189,237,288,164,213,328,202,241,278,250,267,245,277,225,268,268,206,244,286,281,210,215,316,270,195,218,238,219,311,196,223,219,221,197,237,237,220,228,224,265,269,276,232,233,236,255,234,289,224,302,165,282,248,218,226,223,268,180,244,249,261,174,253,178,153,221,164,182,169,229,216,132,174,92,64,84,113,70,131,96,72,74,46,50,58,74,52,70,60,60,48,42,50,48,28,50,60,50,24,64,46,42]
[82,64,60,60,56,72,44,62,76,92,78,86,68,96,194,143,151,183,224,175,178,240,195,190,197,194,176,289,236,211,245,234,260,287,228,224,272,247,322,291,245,270,287,296,289,253,327,253,231,214,312,287,245,315,303,267,368,210,283,200,302,258,304,230,232,340,296,220,261,236,225,263,305,297,275,263,329,274,276,327,327,214,275,319,247,249,298,328,248,276,269,237,258,295,272,281,221,292,262,194,197,249,186,263,280,270,289,296,308,219,264,198,226,162,266,245,233,200,197,156,139,153,171,100,96,96,106,88,70,82,70,64,60,68,56,62,58,50,54,26,48,66,32,48,58,40,64,46,46,46]
[60,68,82,70,62,94,70,80,92,62,84,100,178,133,124,221,234,181,159,213,244,329,168,252,198,321,270,289,298,267,271,257,298,334,297,268,349,239,231,320,268,233,256,319,229,257,387,248,301,329,299,354,359,300,362,326,280,318,414,277,316,344,316,350,349,298,279,373,267,345,347,267,337,321,333,285,300,279,300,249,316,330,313,340,304,263,337,327,295,286,279,291,282,367,343,299,313,336,286,245,246,290,313,251,305,313,298,277,320,245,290,211,220,188,203,205,178,172,244,184,186,197,213,94,96,205,98,78,90,84,58,60,54,68,76,60,62,28,40,54,56,36,46,52,56,36,42,44,56,38]
[86,74,70,52,86,88,80,90,193,88,208,149,240,100,181,164,205,250,206,195,231,197,296,273,258,288,237,313,259,277,317,276,293,351,302,274,312,291,293,401,369,366,299,294,365,338,396,315,315,343,376,294,403,410,319,351,355,408,363,373,409,308,343,358,314,388,308,411,363,395,334,314,321,342,333,360,406,343,369,294,376,332,355,372,299,364,369,300,333,310,339,374,333,308,354,354,347,432,405,400,335,315,279,264,342,311,330,268,291,273,303,201,230,235,223,221,210,244,262,238,159,237,138,160,154,121,78,92,94,50,82,76,58,44,54,42,46,54,48,44,48,40,66,58,42,34,48,44,38,42]
[52,66,54,64,58,94,142,210,96,98,165,172,222,174,202,289,201,247,295,270,221,248,274,253,315,344,424,274,350,373,393,335,411,296,430,359,399,371,394,320,359,355,391,318,332,385,402,426,385,381,348,385,331,397,352,461,390,375,443,462,443,432,351,461,487,376,322,435,402,383,434,371,456,382,380,377,358,386,411,409,482,416,372,393,365,325,394,375,383,449,333,364,393,351,393,434,337,431,390,401,439,310,338,336,360,351,323,308,336,248,322,309,330,305,233,290,205,219,240,268,227,210,208,227,205,172,158,82,100,86,54,70,84,52,40,64,42,60,56,64,38,56,48,46,50,56,44,58,54,70]
[76,98,64,68,86,80,164,130,202,187,205,139,216,267,184,234,282,306,251,260,308,325,291,383,343,356,414,310,346,433,390,422,453,401,475,378,351,454,416,312,483,452,430,435,477,427,449,425,446,481,382,489,360,372,365,403,437,416,404,422,428,390,484,469,424,504,598,467,457,415,469,464,485,464,430,439,484,505,435,410,474,399,438,464,470,434,357,447,444,457,397,418,387,393,516,484,471,401,461,422,412,365,444,443,444,353,411,282,347,290,376,314,361,309,300,325,269,297,223,277,196,228,253,258,178,130,191,139,193,74,80,76,76,90,56,58,76,48,50,40,46,78,52,58,42,38,46,40,32,60]
[164,76,82,78,82,202,86,184,160,186,152,181,223,265,246,279,303,326,321,352,395,322,365,429,325,320,442,385,435,416,471,498,458,504,474,557,542,523,482,443,432,442,423,524,511,456,500,439,495,444,462,403,523,453,395,537,497,499,443,508,493,525,527,557,553,417,540,584,568,633,513,477,492,581,486,446,484,398,460,457,492,416,538,438,488,504,496,516,538,519,465,513,525,534,500,500,514,453,481,455,437,448,426,430,458,455,508,398,363,400,309,433,446,405,375,328,237,333,299,279,297,217,250,220,253,172,231,197,156,86,80,92,66,86,70,72,52,28,40,50,62,38,50,60,54,38,56,52,36,66]
[100,64,190,98,138,138,226,121,183,220,236,186,266,213,313,313,346,374,267,402,375,356,412,429,437,482,443,501,533,519,431,411,476,496,629,572,547,592,532,460,502,470,506,581,611,569,486,577,660,573,557,496,615,665,656,512,669,528,602,544,529,537,578,615,524,626,623,635,550,551,578,600,638,567,629,594,498,539,577,533,549,582,618,620,496,544,581,520,508,507,529,580,534,572,558,564,495,562,445,507,505,526,522,444,549,520,497,498,464,474,357,366,420,432,380,323,336,276,340,324,221,273,208,170,189,223,239,168,149,135,82,70,80,163,68,60,62,52,42,50,62,36,68,44,50,52,40,40,40,44]
[124,86,66,131,184,145,215,236,218,187,228,257,286,343,264,313,333,373,359,335,393,431,488,453,457,451,544,470,597,527,482,573,526,617,664,552,497,623,594,584,541,555,631,640,628,517,650,650,631,587,525,585,536,641,614,596,713,602,621,711,660,633,544,679,602,650,661,607,720,634,548,626,714,616,670,669,689,651,658,622,616,597,570,564,605,600,684,583,601,673,570,520,681,528,597,588,573,657,557,593,631,569,592,482,581,536,508,508,539,547,464,398,545,395,424,437,323,401,371,302,332,247,168,194,277,262,216,151,172,88,195,120,54,64,64,70,62,54,60,76,66,48,54,50,58,44,54,50,44,54]
[94,98,126,236,146,157,221,150,173,266,279,266,309,288,354,374,421,360,460,410,423,435,499,530,414,480,526,640,615,620,580,556,625,663,649,685,673,623,622,704,695,715,653,685,665,695,713,756,741,655,684,719,685,691,637,744,721,706,731,661,649,753,726,659,611,605,725,708,815,631,737,668,655,747,718,655,664,865,756,745,588,603,724,629,767,671,693,784,743,674,688,719,688,582,739,718,667,756,571,578,579,655,607,621,628,567,599,527,577,527,429,455,436,480,430,496,429,379,430,376,239,282,280,312,179,281,214,118,144,186,105,96,80,84,64,80,68,60,62,64,50,42,40,50,66,42,30,56,60,48]
[76,82,187,170,255,181,237,229,252,218,327,297,222,322,409,422,376,390,446,466,522,492,521,572,560,547,575,652,591,612,629,675,711,731,784,673,734,759,706,809,677,698,775,897,821,790,796,852,831,766,821,798,815,967,746,901,772,730,825,819,750,928,849,895,937,829,790,798,763,796,764,823,848,829,899,872,840,810,860,799,924,824,854,811,833,854,794,775,803,818,757,785,815,852,849,734,750,720,697,808,699,738,757,760,732,707,600,600,640,639,574,616,580,603,551,541,423,527,461,331,330,290,361,336,291,219,208,226,145,160,205,78,98,84,78,90,72,68,54,42,76,30,58,66,64,64,56,38,44,64]
[190,185,115,155,266,196,260,216,317,325,308,355,397,418,376,409,495,519,462,512,558,616,589,595,694,657,647,743,786,754,697,698,671,813,777,815,815,825,735,841,863,900,793,878,808,824,1009,855,757,866,950,790,785,931,950,834,906,807,826,856,793,876,859,873,909,883,875,868,894,812,860,888,866,854,918,880,894,840,887,909,807,959,949,1023,914,820,803,873,903,873,842,916,822,806,860,882,803,754,794,887,779,821,666,935,818,745,751,620,701,707,644,621,647,588,587,463,442,465,357,338,490,315,334,278,329,250,288,262,194,247,138,78,177,90,92,178,68,72,80,66,52,56,52,44,40,68,36,58,34,36]
[98,189,210,213,250,174,244,308,259,300,338,512,391,404,434,417,482,480,483,476,560,665,705,637,758,785,787,706,835,687,810,864,813,896,777,868,802,782,804,814,908,943,884,978,860,912,860,898,916,1068,990,903,928,972,1031,970,946,913,852,993,917,981,1012,968,1078,918,986,949,908,960,942,908,1000,912,1035,1069,1002,936,965,964,975,1001,1005,1022,1021,1041,1163,935,922,971,849,907,1015,960,1001,966,918,926,817,892,801,865,837,877,902,876,808,764,718,678,610,720,662,674,594,496,525,440,525,469,356,416,394,433,325,306,238,286,218,185,192,96,100,74,86,60,58,74,52,72,58,60,56,46,64,40,50,34,58,50]
[200,203,209,204,161,212,263,250,313,315,344,451,493,464,644,581,524,599,721,697,690,691,785,795,815,799,838,830,805,853,879,970,900,972,950,1045,916,912,945,1132,958,993,949,1052,1044,1127,1021,1038,1053,1005,1031,1042,1280,1068,1069,1015,1060,1081,959,1148,1012,1077,1197,1084,1115,1098,1111,1016,1091,1022,1072,1121,1189,1080,1107,1163,1043,1026,1091,1076,1073,1108,1109,1069,1185,1068,1031,1013,968,1254,1013,966,1080,1069,997,956,987,954,958,907,882,1051,794,870,951,947,914,744,762,720,798,713,763,797,673,558,571,493,469,420,476,429,340,343,389,332,292,242,198,244,196,154,208,72,201,70,100,82,64,86,48,52,72,46,76,38,58,64,66,54]
[190,228,219,234,250,212,231,346,300,373,425,387,459,413,566,630,587,678,564,671,713,857,680,823,910,773,921,837,857,961,961,1013,1021,910,1051,951,1007,909,1013,995,1039,1118,1011,1119,1062,1081,1033,1142,1119,1100,1143,1099,1131,1087,1091,1349,1114,1057,1232,1177,1123,1086,1063,1127,1134,1230,1154,1077,1175,1126,1075,1129,1116,1162,1232,1238,1185,1195,1206,1096,1133,1134,1227,1179,1275,1090,1084,1232,1169,1110,1104,1217,1355,1244,1115,1127,1087,1160,1196,1079,1050,1066,1040,985,1045,937,891,947,861,877,794,682,725,696,673,622,531,530,507,561,428,440,376,361,320,318,321,235,184,208,154,232,200,133,144,92,169,62,80,84,60,88,50,52,62,48,60,52,60,50]
[207,204,209,232,280,274,314,331,356,435,400,479,453,543,582,607,640,675,719,819,898,890,950,1018,942,937,964,1009,945,1098,1170,1062,1076,1118,1083,1094,1009,1151,1036,1058,1147,1260,1169,1207,1199,1265,1201,1182,1167,1238,1306,1187,1275,1285,1234,1343,1221,1487,1211,1326,1277,1255,1248,1264,1314,1198,1286,1224,1269,1303,1255,1314,1266,1307,1271,1277,1240,1284,1231,1166,1226,1237,1207,1363,1188,1163,1269,1159,1246,1228,1190,1283,1252,1214,1254,1413,1204,1177,1109,1106,1183,1240,1210,1201,1103,1082,981,1039,994,986,926,897,781,698,752,694,681,594,550,495,538,521,391,382,377,361,351,323,325,226,216,152,153,181,202,92,94,68,68,114,82,64,72,64,74,76,58,44,36,64]
[224,145,199,331,268,239,299,352,393,312,475,533,579,527,655,753,695,783,780,890,936,984,998,1201,1002,1003,1106,1069,1035,1231,1134,1220,1225,1128,1172,1213,1125,1198,1296,1305,1307,1201,1407,1339,1431,1353,1321,1271,1256,1305,1329,1226,1404,1369,1317,1327,1427,1389,1444,1464,1571,1451,1478,1320,1372,1299,1381,1412,1285,1311,1507,1349,1437,1305,1556,1414,1440,1421,1519,1463,1396,1526,1467,1362,1390,1277,1342,1409,1307,1313,1327,1357,1309,1423,1271,1264,1287,1210,1535,1299,1190,1306,1260,1176,1178,1146,1120,1059,1002,999,973,1079,892,798,831,684,754,663,580,591,646,433,422,421,386,365,269,313,303,230,235,213,222,164,131,239,86,206,96,68,98,84,90,74,64,36,52,58,58,56]
[205,162,244,210,316,248,359,334,358,429,428,509,589,630,692,714,745,754,917,953,1014,962,1032,1104,1147,1213,1230,1079,1285,1201,1190,1390,1294,1383,1309,1337,1455,1426,1499,1418,1402,1413,1465,1439,1379,1472,1302,1403,1676,1496,1443,1514,1475,1481,1573,1569,1400,1520,1570,1442,1525,1454,1577,1718,1472,1491,1465,1417,1536,1554,1540,1591,1521,1660,1602,1515,1504,1489,1475,1519,1503,1603,1614,1525,1435,1430,1479,1509,1424,1463,1496,1509,1493,1498,1400,1394,1459,1434,1436,1354,1491,1564,1376,1373,1221,1208,1229,1222,1265,1144,1080,1035,1012,955,874,779,794,811,638,714,602,554,502,470,487,412,320,269,286,189,282,208,229,230,189,185,224,100,199,78,90,76,88,68,80,72,58,62,44,54]
[265,269,225,323,280,326,410,436,456,585,492,572,698,681,826,929,898,910,1057,1024,1124,1161,1184,1237,1284,1251,1534,1377,1419,1342,1469,1381,1491,1531,1484,1489,1467,1454,1505,1489,1553,1435,1662,1588,1649,1514,1575,1489,1606,1691,1659,1575,1611,1573,1596,1528,1545,1458,1575,1565,1694,1734,1632,2049,1629,1668,1603,1728,1709,1661,1694,1829,1700,1707,1724,1619,1578,1605,1697,1739,1645,1758,1743,1609,1685,1585,1539,1593,1603,1550,1662,1683,1529,1471,1563,1454,1437,1418,1591,1501,1714,1438,1417,1368,1384,1371,1338,1195,1213,1300,1044,1143,1067,939,953,706,822,665,776,614,484,483,384,440,367,326,307,288,238,216,191,278,195,164,174,98,98,133,188,86,72,84,78,86,94,44,72,54,38,56]
[237,166,322,277,293,307,363,429,374,511,514,546,708,668,762,814,936,981,1013,1129,1278,1269,1271,1348,1371,1385,1389,1412,1468,1802,1615,1620,1554,1435,1550,1549,1739,1708,1614,1558,1674,1780,1663,1730,1816,1797,1596,1753,1732,1843,1864,1765,1732,1808,1885,1823,1756,1768,1773,1731,1824,1758,1949,1972,1900,1912,2188,1713,1829,1876,1974,2014,1936,1962,1919,1976,1898,1803,1845,1888,1927,1804,1866,1871,1745,1734,1847,1755,1848,1800,1912,1760,1812,1747,1690,1884,1692,1644,1692,1606,1652,1553,1609,2021,1643,1614,1431,1483,1412,1397,1324,1208,1132,1201,1105,974,844,860,844,729,679,586,485,488,425,518,422,412,314,331,290,185,209,153,213,190,157,160,165,98,119,191,78,70,86,70,66,70,68,66]
[287,269,238,216,253,381,387,456,466,513,544,598,647,717,763,934,1015,1037,1122,1107,1247,1343,1275,1432,1480,1546,1456,1491,1500,1584,1681,1998,1683,1655,1737,1741,1566,1581,1819,1897,1896,1794,1920,1954,1814,1984,1906,1756,1905,1945,1948,1951,1964,1853,1946,2024,1864,2008,1800,2094,2058,2021,1948,1879,1933,1998,2034,2025,1916,2279,2072,2051,2115,2110,2028,2029,1878,2042,2039,2023,2113,2053,2023,2006,2082,1919,1908,1863,1931,1947,1929,1921,1938,1964,1883,1980,1869,1622,1808,1820,1908,1757,1717,1827,1729,1594,1950,1665,1428,1509,1430,1476,1220,1215,1142,1075,960,891,962,796,638,530,529,563,473,491,430,336,321,348,259,261,217,246,195,158,98,156,194,94,189,128,78,80,100,78,76,82,86,62]
[221,236,310,270,308,333,387,498,516,595,603,685,647,743,977,1006,1040,1132,1236,1335,1473,1369,1538,1589,1665,1662,1684,1629,1679,1743,1744,1853,1776,1840,2402,1828,1888,1925,1971,1965,2100,1989,2082,2068,2174,2026,1980,1894,2017,2250,2112,2105,2015,2060,2260,2143,2173,2098,2268,1973,2197,2201,2148,2211,2153,1990,2074,2217,2115,2297,2298,2401,2715,2312,2401,2156,2207,2070,2348,2195,2234,2155,2377,2150,2171,2041,2166,2086,2097,2157,2119,2093,2182,2194,2105,2083,2130,1976,1894,1940,1933,2075,1996,1950,1903,1892,1817,1772,1645,1958,1635,1617,1481,1262,1249,1090,964,939,769,747,730,718,657,589,500,484,435,401,357,304,225,288,243,287,253,233,257,196,213,224,140,94,90,96,98,64,84,62,56,50]
[295,296,229,330,335,412,330,435,432,574,666,589,716,804,953,1024,1031,1251,1359,1504,1510,1674,1667,1752,1725,1655,1792,1920,1831,2029,2116,2031,1988,2038,2072,1942,2166,2307,2242,2127,2310,2291,2285,2263,2293,2279,2297,2226,2219,2229,2358,2436,2367,2358,2333,2233,2254,2475,2334,2395,2483,2355,2317,2371,2429,2420,2264,2436,2395,2431,2575,2634,2643,2619,2390,2858,2313,2395,2514,2455,2632,2693,2612,2572,2392,2459,2226,2353,2352,2411,2382,2478,2429,2369,2329,2403,2268,2318,2181,2370,2284,2242,2192,2278,2024,2102,1989,1840,1925,1823,1737,1828,1991,1522,1344,1236,1088,997,935,842,772,739,616,586,527,499,572,465,395,382,331,276,330,190,214,228,243,206,147,155,223,121,98,98,72,76,96,64,64,58]
[190,273,314,383,384,404,484,470,527,555,744,761,787,851,1014,1102,1235,1311,1580,1593,1835,1979,1953,1948,1845,2027,2105,1983,2116,2132,2215,2361,2313,2348,2367,2094,2212,2214,2425,2507,3010,2562,2752,2520,2601,2296,2562,2426,2450,2635,2770,2753,2827,2587,2664,2549,2437,2562,2421,2625,2738,2772,2604,2691,2549,2442,2499,2467,2666,2686,2871,2916,3036,2789,2743,2483,2745,3047,2655,2739,2978,2923,2816,2756,2558,2559,2538,2531,2616,2699,2753,2718,2759,2568,2575,2440,2441,2342,2329,2505,2428,2405,2314,2394,2292,2289,2234,2013,2169,2164,2174,1947,1946,1763,1507,1584,1193,1121,989,892,816,708,595,566,563,515,540,435,450,414,337,356,256,306,320,249,204,205,149,135,158,148,94,141,80,70,78,50,54,70]
[243,295,325,259,345,357,476,534,537,638,768,764,901,962,1051,1227,1305,1463,1596,1694,2035,2154,2165,2134,2172,2060,2136,2137,2205,2191,2409,2522,2502,2464,2213,2281,2331,2282,2319,2606,2752,2997,2800,3352,2526,2530,2537,2558,2772,2801,2783,2944,3017,2769,2580,2583,2603,2635,2709,2916,2979,3113,2935,2795,2628,2558,2658,2765,2844,2957,3102,3375,3227,3139,2845,2849,2749,2946,2954,2995,3975,3430,3311,3276,3080,2754,2880,2744,2924,3005,3332,3385,3123,3060,2911,2637,2719,2643,2575,2799,2877,2770,2685,2445,2451,2426,2303,2344,2341,2472,2462,2261,2330,2009,1570,1448,1389,1154,1289,813,837,784,762,682,586,560,522,471,389,377,370,346,265,307,298,256,298,186,164,132,217,136,205,208,80,86,68,80,82,68]
[242,234,233,307,358,407,463,445,748,628,717,835,783,996,1066,1137,1325,1546,1772,1962,2192,2466,2562,2444,2367,2441,2309,2278,2331,2463,2602,2571,2683,2666,2498,2278,2514,2575,2616,2833,3223,3302,3244,3041,2796,2779,3289,2679,2693,2951,3144,3322,3254,3087,2885,2783,2696,2929,2892,3063,3294,3688,3215,3269,3108,2691,2850,2951,2970,3029,3415,3475,3393,3096,3170,2973,2916,2946,3383,3403,3785,4048,3870,4217,3379,3157,3157,3295,3282,3441,3787,3811,3595,3562,3191,3089,2924,2989,2851,3033,3257,3351,3062,2944,2694,2573,2486,2609,2619,2883,3212,3203,2806,2309,2035,1888,1590,1469,1191,1081,1220,807,652,791,694,644,509,431,441,425,337,270,386,258,242,302,262,252,277,195,191,159,161,198,141,80,84,76,80,84]
[279,364,302,333,340,388,467,423,597,607,762,945,805,923,1181,1291,1397,1692,1890,2483,2674,3020,3018,3187,3021,2670,2555,2553,2700,2683,3060,3000,2936,2991,2715,2522,2730,2721,2868,3355,3640,3854,3722,3596,3201,3015,2907,2998,3029,3934,3788,3894,3807,3557,3095,2825,2857,3037,3081,3401,3867,4062,3803,3524,3264,3120,2957,3121,3362,3378,3887,3958,3888,3560,3241,3030,2963,3206,3593,3945,4444,4577,4538,4274,3769,3269,4043,3528,3576,3992,4634,4299,4224,4049,3741,3314,3270,3119,3177,3389,3761,3642,3378,3372,2786,2675,2652,2712,2965,3387,3894,3911,3384,2819,2415,2028,1811,1484,1345,1081,1073,913,829,874,720,670,541,529,473,441,356,367,356,254,302,268,229,190,213,211,179,176,177,173,76,132,88,92,74,66]
[307,353,330,354,421,450,471,540,514,621,872,846,1007,1055,1394,1363,1476,1765,2162,2759,3266,3928,4099,4337,3464,3032,2762,2812,2855,3128,3648,3825,4001,3337,2926,2917,2798,2986,3056,3787,4649,4943,4762,4378,3625,3327,3178,3177,3342,3603,4290,4832,5765,4258,3526,3045,3123,3220,3411,3841,4802,4853,4783,4369,3853,3427,3378,3327,3439,3784,4619,4895,4768,4087,3636,3390,3319,3492,3993,4351,5324,5797,5769,4992,4646,4114,3997,3794,4087,5345,5249,5626,5409,4955,4321,3921,3701,3625,3665,4191,4569,4655,4542,3904,3320,3021,2970,3003,3326,4181,5095,5059,4464,3448,2895,2482,2050,1555,1348,1166,980,938,767,829,657,621,651,463,493,433,341,273,295,301,304,265,250,217,199,198,120,188,194,182,185,180,162,100,82,66]
[268,303,347,404,408,420,488,505,616,694,804,753,901,1096,1171,1353,1644,2139,2233,2740,3580,4397,5108,4941,3944,3519,2993,2807,3088,3442,3945,4486,4448,3761,3175,2773,2670,2909,3133,4037,5093,5424,5687,5168,4455,3635,3252,3385,3289,3883,4798,5553,6096,5491,4898,3409,3155,3411,3591,4219,5279,5869,6090,5299,4408,3525,3657,3646,3653,4085,5002,5525,5636,5051,4145,3474,3475,3798,4254,4897,6203,7292,7122,6214,5343,4512,4242,4134,4332,4730,5841,6894,8257,6084,4983,4308,3938,3788,3872,4410,5032,5581,5055,4566,3618,3126,3093,3102,3494,4414,5652,6311,5974,4540,3368,2595,2315,1723,1499,1097,1242,978,815,796,748,689,565,623,519,595,485,318,342,332,271,211,275,245,190,230,156,153,169,149,184,170,117,94,76,86]
[344,323,365,399,407,463,496,588,642,784,843,895,1037,994,1383,1408,1577,1893,2201,2605,4182,4415,5188,4774,4121,3387,3035,2905,3185,3478,4200,4569,4514,3958,3348,3016,3079,3170,3359,4157,5027,5848,5849,5195,4171,3819,3388,3380,3463,4279,5009,5571,6008,5303,4044,3503,3449,3899,3751,4200,5366,5908,6022,5354,4482,3865,3658,3498,3751,4176,5008,5636,5872,4888,4214,3733,3567,3708,4364,5031,6274,7829,7660,6535,5604,4790,4346,4223,4219,5121,5593,7181,7452,6415,5324,5328,4232,3838,3786,4564,5172,5622,5499,4586,3789,3362,3161,3264,3327,4529,5442,6341,5800,4694,3725,2766,2301,1844,1416,1279,1177,948,815,782,773,682,576,539,454,470,499,329,349,320,283,203,302,256,261,170,173,148,216,213,107,88,94,82,94,94]
[309,376,399,378,432,489,601,594,710,702,787,907,1035,1171,1345,1496,1678,1896,2047,2574,3064,3638,3991,5248,3651,3316,3110,2921,2873,3344,3804,4044,3832,3662,3164,3096,2993,3044,3382,3719,4194,4787,5092,4682,4200,3631,3373,3434,3392,4008,4396,4896,5114,4704,3907,3688,3195,3384,3572,3956,5499,5067,5111,4846,4098,3824,3594,3493,3767,3964,4422,4768,5051,4809,4181,3603,3456,3716,3920,4566,5446,5943,6272,5818,5269,4828,4116,4079,4037,4426,4897,5800,5981,5579,4904,4683,3912,3635,4424,4073,4480,4949,5071,4345,3663,3330,3011,3047,3344,3779,4501,4999,4633,4013,3229,2800,2281,1823,1496,1247,1206,983,870,814,817,757,594,600,461,497,442,385,357,289,275,318,273,223,321,207,216,182,216,126,106,162,100,125,86,94]
[293,398,432,450,441,605,515,574,658,741,884,956,1077,1169,1312,1400,1686,1976,2081,2205,2509,3201,3468,3611,3181,3074,3604,2956,2868,3043,3436,3459,3430,3251,3096,2850,2966,2892,3059,3436,3873,4104,4490,4344,3899,3596,3449,3241,3522,3549,3934,4234,4433,4186,3826,3565,3410,3496,3586,3819,4062,4439,4545,5188,3916,3715,3693,3632,3616,4096,4038,4609,4350,4400,4003,3660,3466,3623,3982,3981,4847,5288,5686,5165,4625,4274,3937,3815,3873,3952,4668,4963,5180,4920,4394,4167,3779,3479,3578,3840,5031,4273,4416,3991,3437,3431,2954,3073,2970,3138,3619,3814,3933,3505,2920,2628,2398,1898,1507,1360,1218,998,883,780,777,691,741,584,559,522,444,417,387,400,332,358,300,324,254,246,280,259,189,224,98,200,72,96,66,62]
[377,328,393,386,506,473,652,628,763,772,869,983,1151,1281,1276,1495,1694,1864,2067,2311,2724,3026,3256,3464,3080,3018,3081,2903,3040,3831,3486,3406,3504,3419,3259,3085,3162,3050,3273,3295,3659,3883,4275,3949,3964,3767,3520,3428,3463,3580,3950,4585,3874,3983,3805,3574,3515,3652,3640,3986,4059,4250,4089,4239,4024,3991,4544,3543,3829,4193,4355,4490,4317,4148,4107,3820,3796,3789,3788,3880,4632,4898,5279,4735,4363,4434,4212,3969,3958,4019,4247,4694,4995,4667,4255,4404,4201,3673,3855,3767,3980,3869,3861,4571,3573,3328,3048,3109,2908,3124,3231,3506,3428,2941,2708,2545,2078,1783,1645,1483,1176,1030,901,1004,887,726,651,622,593,502,490,345,345,368,261,363,332,265,288,249,168,174,189,166,100,98,86,88,98,58]
[332,412,422,447,458,508,591,634,663,774,759,1051,1169,1282,1369,1472,1706,1938,2205,2569,2665,3054,3007,3172,3108,2924,3087,3023,3008,3224,3427,3699,4535,3644,3442,3300,3269,3342,3308,3499,3643,3928,4043,4071,3769,3643,3618,3533,3661,3688,3931,4351,4280,4029,3778,3838,3625,3739,3642,3845,4054,4163,4241,4306,4057,3946,3693,3907,4055,4952,4260,4652,4508,4192,4115,3928,3889,3855,3979,4096,4375,4692,5065,4377,4084,4241,4193,4005,3947,4010,4119,4562,4798,4424,4062,3912,4062,3670,3578,3905,3856,4057,4113,3937,3656,3372,3840,3148,3046,3188,3211,3314,3353,2796,2573,2254,2170,1743,1553,1297,1277,1064,1018,998,784,754,586,667,524,465,520,430,402,392,307,333,358,288,186,204,240,150,221,253,169,136,175,100,56,68]
[364,447,502,482,496,697,719,729,830,895,1132,1136,1325,1516,1724,1851,2226,2824,2643,2892,3106,3220,3079,3076,3241,3288,3160,3317,3585,3968,3882,3892,4345,3519,3423,3459,3624,3722,3728,4030,4062,4189,3953,3599,3807,3612,3730,4052,4068,4226,4537,4482,4212,3933,3856,4155,3905,4493,4284,4308,4407,4350,4086,4160,4091,4006,4271,4309,4509,4654,5347,4664,4468,4287,4082,4133,4150,4197,4519,4913,4993,4713,4424,4124,4342,4116,3959,4245,4209,4340,4468,4428,3977,3937,3782,3775,3813,3750,3837,4080,4171,3873,3840,3727,3712,3255,3333,3556,3180,3213,3737,3027,2813,2428,2241,2003,1776,1545,1416,1265,1200,959,967,783,734,645,556,614,494,521,524,432,401,336,333,255,339,237,315,227,257,245,164,196,147,116,148,78,78,100]
[334,420,428,520,446,600,647,644,816,826,1071,1016,1240,1249,1431,1651,1990,2367,2492,2867,3166,3505,3592,3649,3440,3333,3547,3652,3490,3940,4195,4251,4400,4186,3868,4450,3651,3845,3799,4128,4386,4718,4548,4168,4227,3905,4002,3989,4129,4186,4551,5020,5050,4770,4359,4352,4161,4178,4249,4519,4581,4981,4839,4629,4311,4326,4073,4206,4260,4752,4964,5278,6358,4926,4747,4299,4420,4428,4442,4886,5269,5548,5299,4924,4653,4242,4492,4320,4441,4594,4701,4772,4983,4513,4020,3983,3864,4113,3975,4183,4433,4529,4393,3955,3844,3568,3722,3509,3463,3548,4657,3844,3664,2957,2615,2490,2318,2017,1596,1502,1388,1251,1161,1062,941,818,755,747,517,576,545,546,454,416,383,277,336,346,249,293,283,224,228,189,138,155,127,186,96,78]
[369,413,406,557,567,560,619,666,779,899,955,1026,1157,1341,1567,1722,2105,2317,2716,3231,3805,4262,4127,4247,3931,3503,3578,3669,3914,4176,5102,5372,5035,4563,4437,4195,3940,4002,4948,4384,4931,5317,4952,4861,4644,4167,4209,4358,4663,4776,5537,5844,5712,5253,4758,4588,4394,4496,4419,4781,5171,5615,5544,4950,4749,4540,4537,4436,4717,5160,6058,6636,6097,5617,5237,5583,4662,4763,4968,5350,5906,6095,6185,5781,5108,4533,4535,4651,4776,4816,5272,5638,5285,5074,4627,4218,4104,4205,4442,4653,5090,5282,5027,4232,4137,3663,3688,3608,3839,3926,4513,4714,3801,4027,3056,2709,2441,2056,1713,1632,1494,1283,1079,1109,931,858,734,778,537,609,577,528,450,343,368,409,341,259,320,244,268,263,173,202,173,197,135,179,90,86]
[320,368,443,484,612,651,648,760,782,832,984,1073,1298,1346,1608,1699,1886,2601,2985,3731,4633,4992,5220,5037,4265,3925,3780,3750,4102,4621,5740,6062,5726,5319,4936,4446,4333,4095,4496,4929,5626,7274,5747,5318,4840,4561,4456,4608,4924,5099,6022,6282,6274,5627,5211,4776,4658,4572,4754,5357,6093,6550,6361,5749,5023,4699,4745,4759,5201,6010,7116,7530,7541,6815,5981,5130,4691,4912,5954,5699,6586,7480,7501,6807,5492,4845,4885,4753,4916,5493,6108,6607,6354,5592,4984,4455,4405,4446,4567,5219,6088,6469,5671,4943,4296,3947,3689,3729,4040,4295,5195,5272,4478,3819,3357,2925,2959,2076,1852,1708,1488,1212,1238,1109,856,889,825,645,663,510,501,434,487,384,370,349,371,288,294,263,211,272,189,265,158,226,142,150,96,94]
[387,419,431,485,555,513,707,921,794,902,1088,1122,1292,1474,1543,1736,2059,2467,2869,3787,4761,5876,6601,6070,5178,4319,4150,3984,4240,4941,6391,6869,7017,6458,5690,4814,4464,4463,4407,4897,5505,6758,7015,6651,7053,4839,4750,4725,5037,5511,6539,7611,7813,7003,6232,5497,4986,4859,4972,5548,6498,7225,7624,6590,5879,5244,4742,4805,5106,6233,7738,8876,8606,7803,6324,5599,4938,5022,5198,5871,7119,10119,8470,7752,6273,5386,5016,4925,5048,5548,6628,7584,7363,6327,5291,4920,4523,4577,4758,5247,6735,7200,6495,5612,4721,4290,4139,4082,4192,4533,5685,5880,5249,4407,3725,3104,2861,2463,2356,1831,1517,1234,1208,1096,1084,960,867,729,730,697,525,438,507,440,367,375,323,379,369,310,283,248,158,206,175,244,213,193,100,148]
[375,468,428,574,518,571,630,744,842,901,1209,1185,1266,1508,1566,1809,2160,2358,2795,3547,4274,5510,6516,6155,5201,4445,4082,3994,4137,4784,5761,6699,7003,6338,5562,4900,4329,4158,4200,4631,5336,6251,6610,6676,5769,5106,4882,5542,4559,5487,6030,7593,7862,7129,6147,5494,5046,4850,4918,5357,6134,7097,7276,6844,5743,5240,4923,4913,4979,5871,7413,7890,8465,8321,6811,5451,5056,4955,4814,5631,6639,8171,8405,7994,7766,5331,5132,4622,4847,5570,6422,6864,6857,6495,5514,4685,4628,4458,4530,5197,6481,6577,6508,5958,4641,4254,4146,3879,4016,4191,5102,5626,4939,4251,3800,3182,2848,2253,2052,1726,1480,1601,1179,1116,1037,914,754,720,686,607,571,585,450,414,471,294,380,341,291,236,214,218,225,150,230,192,212,153,140,86]
[418,383,560,468,489,562,676,879,871,917,959,1136,1560,1430,1673,1883,2011,2405,2707,3160,3664,4598,5163,5339,4484,4225,3906,3854,3756,4176,4726,5367,5478,5432,4984,4482,4518,4030,4008,4331,4888,5460,5760,5903,5449,4933,4509,4324,4366,4739,6634,6398,6896,6310,5442,5438,4669,4584,4707,5110,5460,5811,6355,5932,5397,5202,4701,4624,4543,5215,6135,6705,7200,6766,5752,5223,5015,4460,4772,5201,5908,6700,7330,6703,5859,5414,5155,5498,4812,4995,5564,6003,6176,5619,5030,4634,4441,4308,4302,4727,5256,5577,5516,4970,4605,4184,3813,3901,3727,4008,4347,4479,4433,3842,3466,3280,2742,2344,2112,1664,1597,1305,1174,1222,1257,906,796,784,743,648,655,616,496,396,419,419,432,385,291,273,176,199,215,213,259,190,218,100,138,98]
[375,487,547,503,567,646,658,835,747,897,1002,1118,1236,1391,1628,2226,2026,2197,2515,2697,3030,3737,4420,4307,4108,3962,3792,3656,3407,3897,4110,4549,4916,4958,4656,4338,4222,3994,3827,4079,4500,4904,5140,5080,5024,4486,4417,4220,4240,4343,4879,5391,5540,6906,5154,4973,4592,4322,4452,4535,4882,5281,5457,5225,4888,4648,4544,4450,4444,4544,5077,5532,6007,5664,5343,5055,4701,4353,4500,4748,5117,5906,6122,5947,5193,4925,4610,4594,4220,4465,5851,5369,5366,5283,4641,4522,4375,4151,4203,4430,4635,4816,4717,4657,4276,4151,3769,3584,3435,3721,3817,3988,3781,3475,3031,2914,2698,2352,1934,1837,1543,1400,1264,1265,1168,971,872,887,782,590,516,611,520,452,423,368,422,376,366,310,251,222,273,216,250,179,153,207,199,100]
[365,486,495,543,593,542,731,746,763,926,963,1131,1243,1330,1612,1767,1844,2177,2940,2468,3046,3624,3773,3954,3780,3735,3917,3819,3714,3841,4136,4313,4729,4460,4319,4262,4304,4054,3928,3993,4326,4568,4956,4647,4403,4375,4363,4312,4303,4251,4754,4988,5607,5206,4873,4702,5765,4459,4249,4276,4513,4833,5078,4941,4651,4484,4417,4501,4453,4406,4963,5219,5643,5167,4838,4907,4583,4554,4428,4777,5046,5362,5633,5287,5015,4761,4758,4566,4423,4499,4848,5003,5005,6001,4724,4364,4367,4084,4147,4373,4624,4561,4545,4498,4184,4042,3836,3661,3559,3646,3641,3722,3693,3262,2991,2796,2600,2241,1836,1702,1570,1389,1241,1156,1107,1006,814,763,682,625,609,552,509,444,380,408,324,324,342,311,293,236,295,200,218,163,160,140,126,127]
[380,403,538,417,575,665,724,795,939,1063,1043,1158,1342,1571,1632,1758,2037,2251,2376,2869,2992,4349,3922,3626,3303,3606,3746,3645,3610,3814,4015,4299,4410,4173,3933,3990,4051,4077,4004,3957,4219,4612,4835,4660,4366,4351,4229,4348,4040,4223,4671,4938,4874,4730,4502,4725,4750,4436,4330,5192,4730,5027,5009,4892,4404,4448,4484,4447,4416,4514,4877,5062,5347,4853,4552,4580,4564,4478,4483,4616,5096,5224,5306,5047,4666,4634,4817,4627,4572,4741,4963,5072,5261,4922,4510,4469,5321,4263,4353,4114,4481,4779,4603,4398,4058,4042,3894,3694,3623,3628,3647,3888,3545,3118,2695,2606,2289,1995,1784,1537,1428,1388,1193,1101,1094,962,849,746,713,667,608,581,436,634,458,411,353,350,338,258,305,261,188,197,164,142,240,174,200,157]
[474,400,555,442,608,654,732,756,895,1039,1179,1238,1312,1458,1633,1785,2155,2479,2480,2792,3421,3679,3772,3570,3880,3491,3673,3796,3619,3867,4241,4345,4399,4038,3722,3959,3819,3951,3873,4174,4491,4721,4637,4523,4234,4278,4152,4336,4286,4411,4762,5140,5208,4627,4163,4549,4604,4557,4376,4503,4763,6163,5060,4798,4396,4560,4475,4521,4547,4498,5036,5171,5172,4903,4767,4338,4589,4619,4461,4471,5000,5518,5087,4788,4662,4696,4544,4603,4685,4726,5040,5323,5233,4972,4754,4634,4647,4639,4572,5711,4920,5126,4823,4531,4204,4167,3977,3976,3796,3560,3691,3696,3404,2992,2709,2625,2339,2053,2011,1675,1526,1384,1347,1265,1193,1069,923,858,682,670,662,620,435,559,445,435,422,438,316,348,263,242,244,272,228,189,213,162,133,185]
[476,466,516,597,689,684,837,799,852,1037,1042,1100,1320,1569,1583,1899,2146,2524,2922,3296,3726,4125,4201,3980,3771,3755,3906,4841,4166,4143,4363,4783,4485,4336,4053,3956,4054,4170,4375,4338,4735,5225,5045,4806,4273,4340,4275,4408,4526,4889,5058,5441,5278,4768,4703,4566,4602,4398,4788,4921,5179,5451,5418,5108,5665,4848,4668,4611,4774,4962,5437,5546,5285,5019,4795,4652,4880,4891,4899,4939,5565,5768,5618,5221,4819,4840,4705,4733,4854,5136,5600,5632,5639,5366,4856,5013,4793,4905,4824,5117,5331,5346,6233,4873,4298,4387,4224,3975,4244,4005,4099,4037,3491,2941,2636,2505,2268,2107,1894,1712,1508,1368,1247,1075,1167,889,871,891,841,717,611,617,495,538,352,470,417,337,378,381,344,273,262,206,244,161,257,210,169,237]
[438,540,564,572,569,696,673,771,971,980,1172,1265,1331,1508,1741,1964,2128,2571,3137,3598,4326,4458,4864,4339,4207,4091,3918,4029,4034,4544,5924,5180,5206,4552,4291,4065,4076,4303,4332,4942,5335,5758,5595,5243,4775,4477,4492,4374,4718,5100,5775,5836,5788,5725,5261,4724,4872,4691,4894,5081,5858,6010,5910,5257,5245,5046,4814,5959,5085,5487,6065,6294,5660,5267,5074,4859,4848,4923,5190,5293,5955,6325,6284,5589,5225,5049,5116,4834,5249,5707,6431,6584,6272,5772,5468,5073,5028,4789,5110,5482,5997,6082,5793,5261,5553,4422,4255,4142,4280,4504,4961,4612,3971,3313,2878,2676,2341,2111,2029,1737,1624,1506,1392,1218,1096,1080,914,826,731,797,684,522,488,533,446,442,342,317,314,331,290,321,310,280,292,234,120,159,206,100]
[485,434,573,621,664,634,771,843,956,1096,1112,1219,1351,1567,1701,1871,2226,2821,3150,4155,4924,5707,5781,5396,4822,4595,4143,4071,4848,5102,5846,6375,6292,6757,4907,4367,4330,4483,4542,5370,6560,7398,6877,6187,5261,4831,4819,4967,5161,5623,6555,7121,7176,6442,5959,5054,5121,5123,5146,5432,6521,6733,6526,5887,5516,5458,5124,5158,5383,5811,8126,7193,6765,5996,5268,5182,5134,5167,5480,5944,6541,7381,6919,6397,5795,5375,5299,5402,5730,6336,7336,7683,7481,6903,6138,5499,5293,5406,5258,5988,7019,7493,6877,6174,5307,4766,4479,5560,4736,5233,6172,6132,5258,3957,3099,2662,2400,2106,1851,1746,1554,1464,1414,1272,1087,994,959,839,768,756,709,654,549,440,519,463,353,368,404,281,326,297,273,259,236,261,230,199,134,205]
[486,525,521,552,667,620,722,914,975,1069,1136,1298,1545,1555,1719,1894,2227,2840,3208,4242,5481,6219,6667,6473,5520,4819,4589,4545,4854,5220,6296,6851,6675,6099,5437,4623,5498,4581,4837,5709,6574,7705,7434,6494,5714,5012,5032,4971,5255,5938,7109,7575,8127,7211,6064,5439,5234,5189,5406,6115,6697,7321,6984,6287,5819,5549,5359,5375,5343,6118,7161,7899,7674,7966,5870,5565,5369,5283,5402,6075,7699,7935,7942,7239,6119,5526,5631,5482,5900,6873,7950,8766,8540,7971,6644,5897,5621,5481,5809,6549,7770,8083,7952,6456,5627,5131,4640,4428,4726,5614,8316,6834,5602,4431,3226,2763,2498,2106,1808,1691,1720,1437,1237,1307,1235,998,977,838,723,685,693,633,585,508,543,374,393,325,273,390,308,271,241,277,213,182,229,230,241,169]
[484,561,530,603,608,723,817,824,936,1015,1167,1350,1477,1533,1759,1918,2371,2823,2944,3834,4813,6068,6428,6141,5430,4679,4654,4322,4506,4753,5596,6123,6668,6126,5207,4574,4401,4504,4607,5994,5890,6493,7151,6697,5662,5251,5096,4900,5077,5459,6136,7017,7719,7328,6334,5745,5331,5121,5150,5622,6164,6652,6799,6374,6033,5545,5242,5319,5080,5531,6703,6959,7128,6586,5826,5271,6265,5276,5347,5998,7253,7588,7919,6955,6321,5553,5532,5397,5330,6387,7813,8279,8267,7795,6653,6031,5703,5613,5234,5984,7440,7603,7327,6528,5593,4884,4395,4507,4524,5127,6256,6041,5576,5270,3440,2748,2550,2255,1897,1797,1666,1514,1425,1394,1134,1069,900,884,781,711,756,681,615,460,497,393,410,320,380,339,270,247,294,237,239,258,213,185,165,165]
[534,543,681,742,725,727,871,1028,1133,1192,1211,1410,1571,1801,1929,2314,2536,2804,3399,4080,4524,5355,5020,4637,4435,4206,4088,4116,4484,4910,5577,5727,5286,4544,4683,4401,4218,4346,4710,6387,5759,6135,5618,5124,5111,4697,4723,4915,5101,5520,6073,6583,6208,5573,5328,5122,4953,5104,5244,5563,5912,5842,5858,5699,5195,5012,4963,4859,5299,5794,6239,6303,6044,5415,5210,5025,5047,6053,5485,6185,6742,6699,5949,5728,5453,5037,4984,5242,5827,6361,6929,7189,6767,5889,5750,5410,4914,4936,5784,5781,6696,6261,5720,5185,4831,4449,4332,4318,4571,5056,4856,4744,3829,3127,3096,2387,2212,1975,1929,1551,1358,1345,1317,1066,1036,1017,923,902,774,653,632,566,529,438,435,403,405,372,363,366,223,282,273,254,194,236,171,197,223,90]
[469,491,551,644,803,755,818,820,1007,1126,1061,1341,1412,1590,1730,1968,2101,2582,2688,2819,3454,4079,4531,4778,4460,4288,4020,3868,4069,4206,4424,4855,4917,4917,4637,4454,4160,4141,4234,4143,4706,5908,5396,5246,5048,4779,4700,4457,4607,4753,5201,5407,5775,5488,5219,4945,4868,4750,4750,4945,5113,5431,5593,5350,5112,5047,4931,4676,4560,4838,5110,5752,5623,5557,5253,5064,4810,4688,4828,6250,5431,5666,5822,5872,5393,5249,4924,4819,5015,5104,5490,5899,6169,6099,5594,5357,5179,4715,4685,5175,5235,5458,5540,5412,4921,4656,4534,3846,4023,4178,4316,4341,3912,3502,3075,2708,2962,2285,1999,1759,1623,1471,1367,1303,1181,1012,977,902,767,805,633,573,591,478,454,488,512,358,335,387,357,303,335,276,310,256,209,202,224,143]
[519,485,555,599,690,635,776,1098,1021,1145,1285,1322,1375,1611,1693,2046,2150,2391,2627,2784,3155,3737,4122,4100,3836,4013,4041,3820,3845,4084,4246,4541,4436,4627,4326,4177,4224,4104,4129,4445,4443,4844,5086,5052,5701,4631,4660,4541,4709,4511,5086,5431,5287,5282,5023,4825,4710,4680,4822,4634,5051,5364,5344,5525,5030,5023,4989,4765,4594,4632,4894,5353,5411,5144,5018,4755,4939,4788,4809,4855,5162,5470,6774,5484,5052,5075,5071,4976,4675,4810,5452,5579,5589,5491,5284,5296,5084,4720,4636,4909,5043,5208,5339,5143,4720,4523,4392,4004,3807,3968,3803,3878,3564,3202,3089,2791,2478,2044,1932,2063,1568,1476,1399,1169,1120,1000,1006,807,778,704,678,643,574,548,592,494,433,444,404,355,323,244,190,240,222,272,167,172,214,150]
[445,508,553,582,672,763,808,940,887,1072,1487,1254,1443,1611,1710,1914,2173,2376,2537,2762,3213,3688,3960,3732,3446,3688,3985,3926,4043,3972,4274,4475,4480,4394,4061,4001,4297,3953,4308,4111,4517,4798,4913,4710,4611,4493,4559,5280,4451,4601,4763,5187,5228,5080,4780,4565,4913,4810,4708,4944,4986,5458,5488,5357,4682,4859,5048,4784,4630,4647,4790,5125,5302,5174,4810,4547,4802,4859,4656,4705,5244,5612,5793,5268,4939,5812,4911,4667,4849,4842,5104,5677,5610,5202,4820,5104,5159,4901,4631,4896,4942,5293,5297,4981,4514,4463,4253,4017,3911,3992,3950,3928,3797,3555,3004,2731,2467,2346,2009,1816,1673,1377,1695,1288,1184,1137,877,884,885,787,744,621,612,602,470,455,407,428,394,350,330,322,239,258,229,220,164,157,141,231]
[510,481,480,596,634,773,833,816,940,1053,1255,1301,1422,1806,1710,1861,2195,2397,2694,2766,3284,3506,3779,3716,3508,3374,3822,3776,3759,3962,4285,4543,4653,4427,4293,4078,4077,4050,4303,4583,4607,4893,5115,4706,4465,4214,4391,4426,4492,4606,5808,5112,5238,4916,4722,4605,4735,4816,4879,4890,5145,5781,5589,5274,4902,4830,4759,4640,4666,4873,5017,5421,5269,4985,4943,4613,4789,4686,4858,4798,5235,5804,5764,5282,5016,4981,5033,5843,4935,5049,5468,5598,5487,5142,4858,4620,4847,4792,4770,4746,5247,5282,5133,4850,4678,4375,4342,4259,4240,4271,4170,4249,4069,3599,3259,2920,2634,2299,2145,1867,1873,1595,1457,1271,1192,1347,866,933,836,706,719,640,682,576,567,503,445,355,354,411,295,322,304,257,298,244,225,186,214,152]
[404,514,601,684,699,689,797,797,968,983,1099,1225,1365,1631,1690,1909,2680,2455,2792,2879,3439,3802,3926,3796,3753,3537,3770,3950,4175,4241,4397,4568,4833,4574,4304,4134,4155,4120,4484,4715,4946,5397,5183,4866,4762,4546,4528,4549,4732,4753,4947,5072,5218,6189,4720,4648,4972,4837,5241,5460,5757,5763,5627,5472,5248,4931,4933,4801,4910,5143,5290,5442,5451,5157,4817,4863,4703,4800,5063,5384,5548,6070,5951,5578,5187,5021,5018,4860,5146,5271,6697,5776,5940,5377,4936,5020,5038,4921,5043,5229,5278,5618,5496,4883,4703,4600,4601,4550,4430,4592,4742,4634,4447,3818,3230,2948,2706,2472,2098,2022,1811,1630,1411,1238,1378,1210,976,939,1034,800,701,698,595,608,572,526,459,381,329,393,294,330,332,281,245,267,187,236,168,209]
[398,567,536,625,644,661,798,1001,932,1167,1170,1293,1421,1613,1861,1875,2237,2637,2997,4165,4030,4448,4399,4419,4030,3929,3938,4121,4296,4686,5155,5424,5269,4819,4551,4334,4370,4494,4642,5147,5689,6304,5905,5573,4869,4860,4779,4683,5078,5323,5652,6226,5939,5737,4979,4788,5884,4847,5304,5735,6507,6772,6296,5982,5514,5114,4935,4962,5184,5605,6155,6132,5978,5707,5215,4990,4667,4797,5306,5949,6746,6694,6543,6041,5430,5220,5183,5109,5252,5530,6336,6758,6627,6923,5336,5054,4964,4997,5377,5638,6497,6588,6068,5218,4870,4702,4399,4594,4394,4899,5355,5418,4919,4242,3477,3301,2919,2408,2276,1902,1821,1718,1514,1320,1096,1070,1053,871,843,799,727,746,598,570,455,511,481,348,398,405,403,251,304,282,215,310,221,152,130,213]
[483,564,593,645,678,714,832,860,1005,1069,1284,1322,1459,1613,1878,1988,2254,2533,3018,3747,4379,5252,6762,4988,4315,4029,3959,4063,4423,5247,6133,6400,6063,5648,4746,4436,4454,4554,4946,5568,6648,7536,6919,6133,5122,5109,4933,5016,5104,5466,6602,7369,7179,6387,5513,4938,5032,5144,5357,7788,7847,8283,7639,6675,5906,5528,5259,5149,5497,5989,6976,7628,6943,6354,5538,4865,5056,5202,5363,6818,8153,8966,7808,6647,5973,5547,5634,5386,5718,6520,7468,7793,7699,6657,6123,5581,6192,5670,5714,6560,7981,7997,7307,6107,5301,4974,4868,4563,4823,5494,6850,7166,5815,4577,3959,3574,2923,2692,2247,2049,1768,1600,1564,1351,1218,1191,1153,970,911,723,791,669,609,644,448,491,498,354,422,344,331,249,285,309,307,274,215,207,187,232]
[514,492,529,574,631,726,849,971,964,1080,1218,1415,1598,1671,1871,2060,2242,2646,3138,3500,4652,5605,6149,5477,4687,4740,4211,4292,4632,5239,6298,6740,6575,5859,4780,4731,4527,4683,5001,5918,7627,8006,7544,6611,5781,5154,5258,5054,5055,5990,6839,7628,8142,7109,5888,5304,5158,5372,5602,6843,8194,8838,10344,7622,6334,5461,5537,5551,5535,6158,7410,7993,7796,6616,5479,5208,5158,5251,5717,6981,9145,9574,8939,7481,6251,5720,5490,5358,5659,6732,8034,8516,8472,7479,6630,5611,5469,5362,5567,8025,8804,8957,7970,6646,5454,5028,4672,4742,4662,5803,7236,7655,6776,5218,4302,3543,3098,2509,2385,2082,1913,1699,1574,1327,1280,1180,1076,966,824,745,786,623,605,582,604,490,527,395,307,424,404,290,286,220,239,237,190,255,156,204]
[589,492,569,606,730,741,804,984,1128,1138,1253,1332,1515,1603,1924,2034,2376,2599,2951,3534,4188,5139,5862,5534,4445,4096,4190,4988,4530,4916,5462,5985,6346,5816,4867,4571,4513,4539,4877,5384,6460,7208,7289,6492,5697,5239,5173,4894,5088,5474,6281,7076,7298,6615,5615,5368,5076,5067,5273,6189,7477,7859,8085,7364,6365,6610,5391,5402,5609,6182,6782,7618,7278,6561,5578,5302,5164,5067,5219,6728,7544,8033,7987,7242,6094,5643,5530,5366,5533,6144,7161,7617,7562,7135,6331,5641,5330,5411,5046,6240,7489,7778,8853,6407,5418,4799,4808,4437,4696,5548,6528,6638,6000,4752,3964,3498,3039,2720,2293,2084,1793,1687,1584,1463,1282,1221,1025,969,866,795,675,734,600,543,522,490,388,457,403,377,331,324,286,292,275,255,199,188,151,181]
[495,571,608,640,729,757,726,985,986,1020,1201,1287,1512,1541,1865,1960,2353,2305,2732,3065,3701,4159,4689,4669,4273,4065,4002,4196,4108,4474,5549,5367,5396,5122,4751,4501,4326,4417,4549,4772,5612,5966,6019,5735,5396,5366,4764,4715,5009,4876,5502,5825,6207,5630,5180,5026,5001,4878,5101,5521,6043,6497,6778,6860,5981,5557,5544,5098,5883,5134,5769,6155,6573,6040,5568,5126,5007,5038,5070,5612,6024,6642,6750,6363,5953,5423,5227,4983,5064,5320,6053,6392,6568,6154,5753,5414,5147,4916,4890,5591,5934,6216,6552,5920,5031,5686,4366,4336,4109,4752,5289,5595,5065,4310,3563,3332,2901,2673,2260,1907,1714,1568,1562,1395,1249,1079,982,1006,932,832,754,689,642,599,497,484,474,428,400,412,314,302,418,286,201,297,189,243,186,156]
[427,538,648,666,778,836,912,895,1035,1123,1180,1268,1464,1574,1770,1885,2094,2454,2486,2877,3122,3645,3979,3909,3871,3686,3836,3827,3779,3989,4400,4570,4890,5497,4428,4303,4275,4291,4397,4430,4754,5226,5385,5048,5087,4757,4790,4564,4499,4618,4880,5103,5435,5039,5175,4712,4781,4755,4820,5114,5354,5781,5899,5725,5320,5195,4991,4773,4716,4849,5149,6417,5552,5348,4881,4833,4763,4572,4832,4990,5269,5545,5777,5692,5298,5157,5110,4737,4554,5110,5373,5601,5791,5534,5173,5175,4848,4755,4603,4950,5217,5105,5402,5194,4936,4579,4294,4106,4810,4141,4372,4150,4073,3656,3284,3052,2886,2418,2199,1964,1711,1453,1442,1338,1192,1255,1033,983,862,740,787,631,678,527,508,529,463,427,390,411,315,279,271,239,253,328,255,177,237,223]
[416,553,502,614,687,746,862,871,1003,941,1280,1344,1418,1612,1737,1986,2335,2362,2544,2810,3203,3506,4076,3823,3751,3801,3978,3848,3939,3983,4470,4522,4808,4554,4341,4196,5062,4222,4355,4614,4789,5136,5284,5072,4674,4721,4851,4651,4561,4768,4872,4821,5097,4970,4918,4790,4767,4729,4788,4932,5282,5421,5670,5367,5157,5121,4875,4535,4602,5074,4941,5112,5285,6091,4856,4694,4797,4754,4772,5052,5530,5660,5397,5298,5374,5070,5137,4870,4663,5014,5010,5441,5408,5205,5008,5062,4939,4948,4651,4650,4911,4879,5142,5146,4599,4507,4355,4140,4011,3971,4031,4891,3981,3660,3203,2867,2832,2234,2054,1869,1631,1498,1396,1320,1172,975,941,812,860,745,678,629,646,571,512,511,484,409,369,347,357,255,298,212,197,211,163,128,195,141]
[469,478,687,585,678,724,742,871,1036,1100,1232,1302,1451,1721,1755,1801,2141,2481,2623,3015,3410,3709,3979,3821,3829,3655,3813,4050,3915,4078,4349,4677,4806,4536,4375,4367,4291,4434,4448,5258,4903,5151,5415,4933,4713,4843,4718,4553,4730,4673,4965,5151,5349,5021,4663,4672,4689,4699,4696,4695,4993,5396,5323,5192,5009,4835,4698,4593,4782,4665,5034,5300,5033,4882,4860,4784,5841,4748,4702,5201,5323,5605,5693,5402,5078,4781,5048,4876,4648,4890,5184,5342,5185,5097,4799,4923,4774,4692,4605,4663,5012,5403,5255,4829,4456,4314,4391,4088,3922,3886,3777,4373,3784,4072,2974,2854,2564,2320,2074,1937,1705,1623,1360,1215,1226,1164,925,904,876,741,763,676,619,556,487,484,419,424,364,391,366,294,271,266,261,231,251,220,171,74]
[529,518,583,592,699,675,846,861,1000,1022,1129,1322,1486,1672,1852,2099,2274,2625,2730,3163,3434,3826,4007,3895,3672,3977,4007,3901,4289,4392,4756,4935,4969,4741,4399,4452,4334,4688,4799,4684,5024,5465,6439,5091,4819,4958,4796,4780,4799,5070,5072,5456,5203,5098,4738,4710,4847,4740,4768,5094,4945,5439,5454,5220,4900,4931,4835,4890,4730,4854,5054,5251,5174,5042,4774,4804,4952,4964,5001,6057,5603,5714,5717,5313,5147,4894,5119,5033,4895,4973,5153,5492,5351,4957,4561,4919,4696,4757,4673,4982,5158,5269,4929,4747,4560,4371,4254,3974,3984,3971,3873,4084,3786,3304,3055,2709,3043,2167,1912,1909,1687,1575,1398,1228,1284,1066,893,862,783,726,753,654,617,559,516,476,473,443,343,372,255,278,267,269,208,132,171,143,247,148]
[468,450,592,698,661,794,803,915,995,856,1124,1256,1388,1570,1660,1919,2254,2674,2903,3358,3793,4249,4291,4238,3877,3776,3991,4248,4458,4824,5355,5437,5289,5137,4803,4593,4630,4757,5163,5144,5655,6051,5651,5587,4979,5867,4955,4887,5065,5316,5706,5818,5668,5284,5183,4979,4847,4804,5116,5143,5450,5664,5615,5091,5076,4653,4835,4891,4968,5129,5334,5616,5549,5192,5080,4667,4795,4947,5106,5323,5645,5903,7054,5267,5225,5230,5311,4985,5107,5157,5405,5414,5186,5126,4809,4614,4775,4626,4988,5018,5358,5351,5092,4791,4418,4318,4291,4266,4154,4167,4280,4024,3749,3282,3039,2761,2540,2321,2142,2163,1646,1650,1445,1236,1228,1151,1013,892,900,736,778,689,611,626,537,393,490,395,367,338,281,376,310,207,254,185,210,193,169,191]
[510,519,566,574,631,673,815,855,914,1039,1409,1361,1556,1556,1735,1883,2286,2814,3230,3512,4360,4875,4875,4694,4149,3816,4025,3975,4638,5107,6081,6028,5885,5578,5101,4720,4861,5335,4805,5734,6437,6602,6303,5936,5482,5032,5085,4849,5605,5545,6231,6589,6155,5917,5265,5215,4993,4937,5242,5339,5845,6361,5839,5442,4869,4755,4829,4750,5099,5645,5995,6242,6010,5686,5029,5104,4816,5081,5370,5798,6090,6766,6544,6070,5604,6384,5320,5245,5291,5526,5940,5890,5951,5258,4990,4757,4709,4804,5076,5258,5914,6285,5958,5114,4682,4281,4099,4133,4278,4421,5188,5107,4394,3608,2835,2693,2580,2318,2069,1825,1582,1548,1644,1302,1162,1138,1016,931,893,811,589,736,634,567,493,449,406,360,349,305,315,320,301,220,201,329,252,165,248,162]
[500,526,586,620,648,767,819,881,973,1139,1151,1249,1827,1748,1716,1967,2344,2784,3227,4186,5241,6061,6347,5198,4730,4257,4295,4459,4958,5890,6888,7054,7182,6529,5665,5319,4916,5134,5496,5930,7409,7785,7703,6890,6200,5687,5129,5307,5292,5900,9141,7992,7604,6454,5846,5466,5088,5026,5236,5965,6931,7305,7557,6299,5722,5033,5139,5182,5346,5748,7051,7491,6967,6456,5502,5060,5101,5194,5655,6157,7293,8007,7311,6713,6144,5624,5472,6153,5543,5965,7078,7319,6832,5759,5402,5022,4635,4841,5012,5867,7243,7639,7269,6011,5060,4339,4095,4347,4273,5149,6649,6800,5647,4415,3386,2984,2538,2305,2050,1751,1765,1577,1579,1326,1308,1055,1064,847,829,833,675,580,604,522,515,515,373,411,399,391,313,313,265,207,245,221,180,157,199,98]
[515,573,589,682,721,793,843,872,1018,1100,1220,1291,1506,1655,1902,2488,2508,2710,3371,4273,5850,6736,6994,6412,5246,4362,4634,4547,5032,6351,7580,7981,8036,7287,6356,5812,5389,5297,5584,6559,8229,9158,8749,7561,6511,5563,5210,5410,5592,6450,7976,8257,9689,7252,6049,5464,5231,5289,5442,6301,7443,7946,7637,6861,5641,4935,5251,5079,5227,6218,7544,8346,8065,6988,5921,5185,5217,5238,5569,6238,8291,8534,8161,7093,6097,5835,5730,5517,5692,6384,9077,8179,7883,6471,5203,4911,4793,4831,5160,6713,8351,8641,7975,6432,5070,4489,4285,4144,4415,5580,7486,7499,6223,4488,3250,2670,2453,2197,2014,1886,1750,1659,1479,1244,1279,1154,993,1000,929,746,765,664,590,517,538,449,391,467,384,331,372,340,201,163,237,160,224,156,200,190]
[549,545,548,673,556,809,781,892,884,1037,1294,1473,1472,1558,1801,2019,2369,2766,3576,3899,4689,5806,6465,5926,4954,4377,4583,4510,4716,5982,6844,7572,7927,7818,6462,5578,5427,5284,5416,5998,7376,8746,7911,7935,6432,5630,5463,5157,5552,6227,6843,7520,7642,7350,6313,5369,6525,5244,5053,5710,6800,7188,7442,6391,5670,5226,4984,4882,5261,5988,7115,7505,7632,6939,5995,5378,5217,5206,5167,5880,7251,8061,7901,7156,6240,5892,5819,5342,5438,6018,6830,7395,7625,7834,5345,5002,4850,5018,5274,6120,7408,8012,7779,6617,5069,4231,4067,4133,4348,5094,6355,6568,5912,4504,3480,2658,2527,2354,1959,1960,1730,1501,1476,1297,1179,1111,1026,918,854,770,874,743,623,549,508,450,436,452,385,304,291,328,209,321,227,181,208,146,207,189]
[439,598,538,664,677,844,877,982,1031,1110,1182,1326,1511,1591,1779,2069,2179,2513,2922,3565,3881,5934,5285,4834,4409,4314,4259,4341,4620,5099,5713,6294,6826,6332,5723,5479,5121,4792,5140,5509,6275,6800,7183,6549,5687,5541,5312,5026,4953,5249,6178,6510,6563,6168,5485,5472,5230,5156,5881,5393,6026,6350,6365,5903,5345,4956,4960,4987,5170,5597,6376,6604,6450,5918,5432,4881,5140,4925,5388,5497,6585,6717,6767,6325,5801,5721,5129,5090,5203,5810,6021,6191,6359,5731,4976,4798,5668,4847,4982,5574,6220,6479,5979,5411,4545,4293,4290,4084,4074,4572,4764,5126,4577,3890,2907,2615,2493,2147,1964,1845,1750,1566,1366,1311,1190,1148,1020,872,785,730,742,727,590,669,422,417,465,387,341,355,367,381,247,258,196,207,138,186,221,154]
[485,563,629,572,766,780,761,943,1076,1103,1235,1367,1527,1637,1950,1951,2264,2605,2677,3029,3488,3977,4491,4176,4910,4032,4020,4071,4249,4667,5046,5461,5629,5417,5138,4892,4661,4525,4852,5151,5537,5915,5842,5575,5304,5157,5096,4868,5012,5148,5642,5672,5895,5753,5261,5377,5236,4807,4955,4883,5155,6539,5393,5106,4993,5072,4836,4752,5027,5372,5316,5871,5739,5387,5004,5128,4946,4845,5251,5223,5551,5716,5977,5804,5645,5401,5165,4912,5041,5362,5404,5487,5369,5100,5054,4818,4709,4429,4681,5941,5143,5099,5156,4812,4269,4134,4002,3880,4017,3934,4107,3985,3770,3322,2794,2709,2439,2054,1961,1787,1671,1445,1264,1229,1234,1135,1000,848,756,759,687,630,556,591,504,447,591,362,425,326,269,307,278,257,240,181,130,174,176,90]
[562,557,599,706,729,810,821,977,1034,1151,1257,1313,1522,1545,1796,2045,2219,2431,2810,2841,3389,3479,4101,3945,3877,3938,4062,4771,4043,4263,4771,4916,5130,5052,4762,4849,4797,4601,4550,4811,5249,5723,5525,5204,5066,5161,5137,4862,4779,5119,5446,5501,5624,5263,5184,5213,4800,4994,4895,4983,5007,5219,5169,5280,6069,4959,4920,4987,5199,5309,5352,5447,5435,5207,4876,4973,4943,5103,5114,5419,5486,5700,5779,5553,5250,5306,5253,5138,5250,5234,5160,5308,5225,4916,4816,4610,4622,4517,4709,4545,4972,5685,4656,4761,4312,4192,3984,3888,4027,3986,3758,3701,3463,2947,2939,2535,2353,2171,1963,1779,1606,1359,1414,1323,1269,1025,942,984,833,763,766,700,679,513,469,556,485,462,408,509,324,263,246,260,169,183,247,209,165,200]
[589,511,568,677,571,767,810,991,1084,1133,1200,1340,1433,1697,1821,2019,2226,2524,2710,2978,3106,3664,3832,3924,3805,3797,4115,4076,4029,4191,5437,4859,4842,4758,4543,4622,4834,4599,4662,4640,5147,5564,5393,5141,5025,4858,4921,4997,4871,4840,5225,5579,5513,5045,5096,5037,4728,4759,4784,5123,5290,5515,5177,5120,4840,4900,4884,5430,5300,5156,5242,5608,5401,5324,4889,4826,4861,4996,5093,5324,5281,5871,5831,5280,5314,5292,5359,5130,4975,5060,5378,5624,5337,4949,4680,4597,4479,4402,4696,4733,4757,4773,4639,4431,5195,4115,3949,3938,3879,3757,3958,3649,3546,3155,2775,2518,2264,2118,1971,1792,1618,1388,1451,1329,1239,999,893,852,834,748,704,648,632,561,566,523,529,377,314,351,304,201,348,225,242,280,209,108,189,100]
[467,576,619,601,766,871,826,876,1001,1170,1184,1426,1398,1848,1714,1922,2226,2616,2664,3114,3354,3797,3952,3754,3470,3761,3921,4035,4083,4404,4546,4808,4875,5427,4209,4347,4376,4760,4602,4914,5043,5679,5101,5061,4412,4592,4750,4733,4761,5072,5496,5444,5749,4990,5038,4714,4741,4733,4878,5073,5317,5364,5103,5163,4960,4733,4800,4932,4855,5391,6620,5848,5527,5147,4809,5015,4892,5271,5088,5456,5641,5835,5686,5156,4877,5110,5042,4960,5114,5267,5608,5545,5521,5097,4942,4691,4439,4481,4572,4764,4909,4893,4582,4495,4332,4042,3856,4764,4043,4115,4161,3949,3644,3182,2850,2731,2356,1961,1930,1732,1575,1614,1337,1320,991,1030,993,828,925,853,746,633,593,518,480,488,470,480,397,314,318,344,232,228,295,279,182,137,179,199]
[512,560,530,648,687,870,864,856,1003,1102,1188,1396,1577,1727,1778,1933,2269,2651,2917,3195,3530,3712,3853,3844,3707,3887,4022,4059,4165,4402,4731,4938,4851,4467,4219,5198,4462,4554,4792,5221,5389,5560,5207,4761,4668,4710,4736,4876,5056,5253,5534,5836,5675,5349,5014,4976,4973,4901,5025,5397,5721,5962,5648,5225,5123,5033,5033,5229,5302,5674,5989,5968,5969,6582,5124,5089,5002,5157,5672,5533,5838,6287,5782,5405,5262,5007,5053,5192,5418,5801,6167,6163,5733,5441,5084,4826,4759,4705,4834,4814,5334,5086,4824,4493,4191,4172,4259,4282,4393,4339,5304,4092,3693,3399,2807,2760,2416,2077,2027,1815,1537,1614,1503,1334,1243,1080,1083,920,753,806,724,674,554,604,568,559,434,392,338,381,331,348,329,274,188,215,225,224,197,170]
[554,658,559,680,770,760,926,936,1078,1156,1360,1393,1537,1617,1852,2063,2298,2604,2967,3566,4098,4385,4617,4148,4054,3914,3956,3959,4434,5049,5241,5483,5308,5133,4715,4339,4671,4597,5704,5409,6164,6431,5843,5470,5080,4645,4674,5173,5224,5775,6345,6986,6191,5632,5226,4946,4768,5048,5298,5577,6305,6285,6139,5504,5332,4984,4989,5223,5681,6272,6762,7071,6472,5806,5161,5081,6107,5286,5768,6380,7178,6909,6593,5884,5409,5193,5192,5498,5559,5905,7107,7277,6690,5637,5071,4901,4725,4750,5009,5407,5844,5606,5352,5143,4608,4321,4136,4305,4424,4758,5369,5063,4266,4495,3212,2671,2499,2189,2096,1876,1661,1586,1479,1375,1243,1135,1060,928,866,755,698,608,643,610,539,512,369,367,376,389,347,329,341,226,283,197,177,224,143,155]
[476,612,603,700,814,757,845,903,1092,1090,1268,1491,1588,1643,1848,2056,2330,2692,3223,3938,4908,5270,5518,5110,4320,4050,4148,4379,4884,5271,6099,6578,6565,5760,4871,4640,4765,4690,5046,6336,7349,9501,7392,6189,5057,4912,4793,5158,5674,6450,8146,8108,7342,6472,5648,5185,5116,5186,5497,6403,7958,8264,7396,6331,5368,5275,5039,5262,5708,7043,8728,8918,8317,6857,5651,5111,5446,5527,6984,6979,8222,8449,8026,6615,5812,5444,5139,5651,6076,7178,8472,9205,7865,6950,5825,5125,5044,5212,5398,6080,7106,6668,5998,5188,4774,4287,4263,4615,4512,5630,6743,6565,5628,4307,3272,2751,3042,2230,1979,1880,1819,1532,1481,1377,1223,1027,1080,921,800,786,793,665,577,557,461,435,422,461,337,325,274,358,261,268,216,271,206,132,125,225]
[457,596,632,735,712,839,910,1130,945,1035,1305,1350,1543,1718,1867,2287,2248,2647,3398,3963,5265,6088,6583,5346,4265,3780,4070,4129,4473,5196,6776,7391,7906,6347,5099,4786,4659,4769,5091,6275,8103,8723,8381,7290,6688,4831,4897,5176,5577,7167,8892,8826,8209,7281,5851,5013,5134,5126,5809,6601,8280,9500,8538,6856,5664,5021,5429,5343,5659,7432,9162,9685,9066,7529,5897,5297,5372,5234,5931,6959,8717,11318,8925,7328,5980,5657,5574,5543,6028,7785,9290,10152,9093,7329,5915,5039,5167,5202,5349,6424,7518,7531,6612,5446,4702,4343,4206,4278,4961,6280,7708,7659,6195,4646,3447,2928,2550,2236,2060,2188,1752,1469,1537,1311,1260,1155,1140,994,826,765,646,640,581,535,515,400,435,411,338,316,249,266,311,295,240,204,241,231,182,113]
[509,518,596,657,599,758,923,917,1034,1208,1623,1389,1594,1844,1913,2021,2233,2614,3070,3815,4645,5807,6366,5493,4362,4117,4155,4249,4448,5301,5940,7196,7602,6630,5119,4843,4796,4748,4910,6116,7189,7696,7987,6988,5477,4795,4944,6050,5311,6372,7672,7916,7523,6760,5694,5068,5131,5021,5462,6393,7645,8218,7953,6677,5613,5311,5294,5224,5557,6946,7973,8604,8249,7008,5730,5168,5342,5254,5586,6527,7910,8517,8302,7474,7352,5517,5598,5424,6114,7263,8321,8275,8224,7051,5591,5269,5033,4969,5108,6047,7137,7008,6246,5358,4648,4348,4213,4201,4559,5698,6713,6779,6049,4437,3348,2971,2539,2347,2177,2033,1810,1821,1391,1377,1275,1143,1001,875,782,697,679,661,680,522,488,523,494,413,402,422,312,274,236,288,284,248,228,270,189,167]
[459,653,593,605,653,758,768,964,1003,1128,1243,1347,1509,1987,1842,1989,2225,2603,2784,3347,3836,4658,5299,4745,4145,4134,3985,3792,4121,4793,5356,5640,6401,5896,4776,4764,4564,4621,4628,5439,5990,6496,6400,6193,5151,4807,4628,4877,4911,5464,7614,6356,6346,5643,5383,5202,4989,4956,5181,5724,6144,6605,6493,6025,5312,5294,5073,5004,5308,5885,6406,6755,6560,6149,5624,5254,5233,5028,5272,5802,6518,6787,6824,6466,5681,5520,5230,6227,5577,6204,6704,6586,6729,5956,5435,5162,5028,4901,4973,5471,5751,5846,5704,5048,4514,4299,4050,4185,4438,4687,5229,5122,4499,3802,3297,2697,2561,2271,2015,1841,1840,1563,1488,1433,1478,1112,1045,988,849,785,730,666,675,595,501,529,526,453,381,313,345,288,268,287,215,196,252,168,123,162]
[444,522,669,736,800,745,892,926,1103,1187,1288,1331,1444,1563,1770,2444,2226,2581,2697,2901,3256,3842,4160,4136,3916,3785,3811,4086,4036,4493,4680,4656,5041,5038,4667,4476,4627,4410,4868,4751,4907,5141,5372,5298,4811,4699,4671,4765,4870,4948,5196,5316,5553,6272,5005,4832,4752,4893,4938,5258,5356,5494,5614,5147,4989,5062,4654,4960,5296,5247,5858,5779,5905,5302,5265,5296,5019,5009,5051,5295,5626,5777,5927,5645,5371,5226,5207,5128,5442,5376,6866,5697,5602,5549,5222,4885,4783,4813,4820,4967,4999,5008,4787,4696,4171,4324,4135,4107,4250,4217,4274,4282,3886,3367,3060,2739,2379,2194,2042,1930,1600,1549,1329,1305,1181,1106,961,1113,868,854,766,661,699,609,419,484,428,424,453,390,246,314,290,215,278,190,213,167,179,92]
[558,647,688,739,843,979,989,1088,1185,1211,1290,1470,1730,1954,2061,2300,3132,2773,2926,3402,3722,3906,3943,3599,3762,4073,3854,4023,4320,4291,4469,4662,4408,4379,4529,4301,4305,4564,4746,4759,4898,4932,4760,4577,4454,4860,4665,4724,4889,4826,4972,5257,5070,4708,5650,4760,4736,4831,4898,5139,5185,5220,4864,4919,4770,4823,4898,4820,5271,5264,5233,5041,5218,4997,4837,4791,4883,4967,5255,5674,5220,5393,5269,5068,4838,4756,4910,4956,5353,5398,5417,6326,4999,5010,4928,4771,4723,4823,4810,4556,4788,4670,4522,4267,4285,3994,4092,4055,4221,4029,3938,3601,3142,2904,2472,2282,2119,2001,1833,1591,1454,1393,1302,1186,1142,931,926,821,877,725,726,582,484,518,473,395,388,360,356,276,310,236,230,233,223,163,203,232,86,74]
[556,663,625,657,728,812,884,997,1124,1276,1315,1415,1612,1805,2071,2255,2502,2755,3565,3300,3814,3970,3732,3740,3717,3883,4090,4141,4304,4474,4589,4662,4493,4323,4434,4413,4251,4555,4769,5018,5148,5395,4974,4718,4731,4777,4677,4897,5074,5159,5522,5288,5284,4801,4876,5605,4588,5013,5085,5196,5366,5308,5261,4964,4747,4739,4809,4862,5345,5460,5662,5878,5069,5203,5037,5009,5025,5052,5395,5400,5898,5604,5375,5181,5102,4968,4898,5059,5175,5557,5404,5684,6432,4971,4916,4744,4777,4671,4812,4938,4812,4870,4726,4275,4390,4050,4090,3963,4250,4286,4076,3694,3324,2873,2704,2349,2090,1944,1968,1654,1445,1436,1307,1094,1110,1024,910,909,771,836,594,531,578,464,500,462,403,391,341,323,390,271,260,234,165,249,182,193,196,92]
[539,602,668,643,739,750,785,1007,1089,1157,1252,1376,1491,1646,1859,1904,2363,2353,2714,3156,4046,3795,3881,3648,3794,3766,3822,3946,4111,4264,4505,4634,4709,4584,4499,4125,4682,4417,4673,4962,5281,5500,5433,5227,4986,4690,4715,4903,5155,5039,5193,5459,5350,5015,4891,4710,4712,4765,5998,5402,5330,5373,5247,5178,4887,4872,4788,5032,5171,5469,5607,5795,5583,5497,5235,5097,5008,5105,5165,5405,5639,5791,5702,5286,4858,5115,4796,5127,5194,5474,5607,6084,5615,5432,5032,5976,4734,4929,4913,5268,4972,5109,4897,4620,4383,4219,4235,4184,4135,4362,4305,4197,3735,3490,3098,2692,2252,2140,2019,1773,1784,1527,1479,1290,1242,1100,1029,1003,908,707,774,597,694,557,496,473,503,442,405,361,272,313,238,264,291,259,195,153,199,154]
[539,569,655,663,805,736,817,949,1055,1138,1201,1393,1477,1737,1805,1954,2488,2626,3089,3262,3821,3859,4107,4773,3813,3830,3881,4197,4395,4548,4943,4902,4594,4464,4353,4198,4418,4649,5006,5441,5579,5865,5553,5060,5267,5042,4786,4898,4871,5084,5572,5467,5451,5195,4941,4890,4924,4892,5266,5418,5739,6700,5467,5188,5048,4913,5080,5096,5420,5561,6120,6249,5862,5471,5321,5219,5195,5137,5390,5475,6181,5911,5374,5403,5192,5155,5131,5417,5446,5716,6241,6248,5949,5527,5190,4859,4962,4880,6274,5432,5546,5509,5105,4737,4603,4330,4134,4282,4465,4814,4941,4310,4013,3326,3086,2805,2407,2314,2047,1981,1691,1504,1565,1335,1283,1034,1048,944,819,815,722,627,609,520,595,539,403,400,435,371,310,321,260,303,307,225,215,158,194,159]
[531,536,565,730,879,801,856,936,1011,1136,1188,1335,1559,1562,1786,2143,2369,2689,3264,3819,4599,5006,4871,4521,4000,3814,4749,4398,4244,5028,5532,5680,5407,4869,4478,4358,4804,4800,5044,5734,6445,6465,6137,5832,5308,5135,4996,5055,5215,5942,6238,6595,6119,5758,5134,4820,4849,5022,5345,5879,6677,6755,6288,5741,6113,5175,5248,5387,5682,6349,7129,7395,6743,5886,5532,5255,5377,5332,5623,6263,6827,6802,6479,5779,5239,5012,5086,5311,5641,6412,7203,7033,6699,6111,5738,5267,5380,5391,5378,6016,6476,7787,5614,5259,4884,4395,4319,4567,4870,5615,6256,5674,4874,3782,3271,2798,2493,2325,2149,1887,1812,1507,1391,1368,1148,1167,1069,930,884,853,776,689,634,568,576,429,467,459,520,362,347,250,268,344,272,173,218,224,238,180]
[576,552,614,672,720,840,794,995,962,1154,1347,1575,1555,1656,2001,2205,2392,2979,3544,4587,5732,6510,6352,5271,4433,3988,4074,4288,4470,6657,6690,7140,6548,5538,4721,4572,4659,4892,5507,6493,7862,8192,7216,6231,5566,5084,5114,5149,5711,6482,8082,8338,7467,6312,5377,4995,4799,5094,5512,6540,7822,8231,7471,6063,5242,4996,6351,5586,5895,7501,8564,8544,7596,6428,5748,5352,5389,5457,5818,7256,8313,8547,7748,6209,5311,5356,5275,5586,5915,7690,8852,8610,8153,6727,5873,5224,5356,5374,5517,6981,8080,8357,6927,6045,5950,4287,4323,4424,5035,6818,7874,7562,5785,4291,3510,2911,2520,2281,2182,1945,1782,1573,1541,1289,1263,1102,985,1039,879,821,766,672,658,511,544,472,482,386,404,382,311,422,262,281,180,289,214,131,133,165]
[528,504,623,626,821,760,871,1026,1033,1193,1271,1441,1589,1747,1923,2232,2336,2696,3457,4554,5789,6865,7372,6188,4617,3950,4161,4152,4331,5481,6316,7586,9136,6421,5136,4551,4615,4606,5115,6406,8334,8598,8442,7067,5639,5403,5359,5182,5738,7254,8506,8672,8572,7049,5768,4945,4978,4924,5701,6489,8197,8914,8375,6787,5919,4999,5001,5159,5648,8702,9442,9982,8758,7304,5897,5467,5419,5387,6068,7144,8894,9327,8625,6995,5612,5073,5208,5372,5951,7712,9600,9677,9172,7644,5871,5511,5288,5401,5863,7283,8960,9320,7950,6909,5306,4505,4313,5270,5028,7046,8887,8613,7121,5100,3677,3011,2641,2148,2136,1896,1713,1669,1450,1397,1284,1086,1090,834,844,862,744,683,590,628,539,476,381,469,403,295,330,334,226,270,342,191,243,247,146,154]
[516,545,647,667,714,808,747,873,1038,1230,1254,1473,1575,1630,1844,2051,2253,2696,3086,3890,5178,6311,6387,5663,4438,3949,3926,4053,4294,5019,5933,6864,6938,6042,4842,5394,4407,4490,4767,6277,7536,7781,7885,6753,5503,5210,5390,5155,5707,6573,7508,7751,7763,6774,5289,4795,4661,5024,5140,6585,7131,7792,7159,6271,5390,4947,4870,5083,5504,6678,8197,8523,9548,6956,5479,5293,5118,5297,5483,6778,7887,8450,7406,6192,5120,5037,5130,5380,5795,7297,8857,8524,8082,6700,5567,5127,5195,5121,5428,6623,7613,7578,7275,6295,4852,4503,4102,4436,4853,7361,7558,7244,5969,4427,3486,2854,2667,2330,2081,2013,1704,1534,1441,1369,1157,972,1099,963,821,849,740,680,661,528,547,587,477,460,448,265,248,286,253,306,263,245,155,212,128,100]
[629,570,615,569,712,763,819,1021,985,1154,1276,1416,1633,1674,1859,2009,2229,2570,3033,3175,3901,4505,4983,4664,3840,3895,3987,3894,4198,4300,5023,5433,5597,5283,4539,4393,4280,4458,5657,5455,6054,6528,6581,5680,5354,5040,4844,4875,4859,5760,6000,6286,6519,5758,4867,4818,4687,4743,4824,5311,5913,6014,6126,5536,4925,4877,4837,4983,5163,5776,6168,6620,6595,6129,5541,6106,4717,4939,5277,5576,6006,6278,6223,5550,4935,4968,4719,4762,5339,6041,6529,6719,6439,5917,5026,5092,4876,4851,5000,5691,5966,5975,5977,5226,4651,4211,3963,4137,4324,4854,5296,5323,5859,3934,3193,2858,2552,2164,2067,1812,1743,1576,1409,1359,1244,1102,961,919,884,666,702,650,637,577,601,439,439,451,337,352,314,293,265,299,242,172,265,200,132,96]
[471,523,592,698,698,796,903,850,1097,1066,1283,1327,1464,1749,1966,2020,2327,2444,2716,2984,3422,3886,4225,4038,3804,3983,3928,3911,3887,4327,4619,4715,4993,4681,4318,4169,4260,4430,4715,4805,5140,6686,5747,5476,5082,5113,4914,4766,4916,5157,5281,5561,5600,5254,4818,4806,4719,4641,5152,5212,5472,5271,5598,5209,5269,4863,4790,4795,5055,5309,5536,5652,6070,5658,5283,5169,5021,4952,6159,5366,5249,5500,5722,5362,4777,4742,4942,5035,4992,5467,5733,5781,5920,5570,5236,5023,4988,4965,5084,5220,5390,5443,5183,4902,4594,4122,4187,4239,4183,4306,4599,4436,4076,3396,2936,3431,2421,2273,2017,1889,1614,1528,1400,1245,1142,1128,1030,945,892,872,735,655,510,513,515,464,438,387,348,347,391,334,266,232,275,193,242,178,151,96]
[533,511,613,642,670,823,970,904,1142,1174,1237,1399,1445,1750,1802,2000,2229,2568,2753,2876,3153,3489,3829,3732,3913,3688,3945,4000,4054,4117,4163,4317,4581,4533,4371,4118,4249,4624,4768,4810,4984,5276,5437,6013,4982,4960,4897,4655,4845,5246,5187,5251,5389,5161,4851,4887,4919,4661,4937,5197,5379,5321,5521,5262,5039,5052,4808,4956,4942,5240,5267,5658,5707,5324,5249,5008,4963,4789,4964,5048,5346,6041,5550,5100,5013,4837,4717,4832,5067,5085,5297,5653,5580,5271,4988,4963,4818,4837,4802,4766,5029,5024,4798,4720,4447,4114,4115,4071,4086,4061,4180,3747,3684,3191,3004,2704,2377,2242,2498,1724,1624,1531,1396,1248,1201,1040,1009,991,904,816,757,699,593,655,547,474,413,489,415,391,319,290,225,247,205,247,199,179,194,121]
[497,612,538,648,747,746,839,882,918,1352,1267,1304,1475,1730,1822,2009,2165,2513,2832,2948,3298,3649,3986,3751,3727,3633,3897,3683,3945,4159,4391,4531,4662,4450,4452,4236,4299,4468,4584,4638,4866,5124,5418,5096,4920,4951,5933,4842,5209,5032,5397,5369,5048,5075,4978,4863,4644,4839,5026,5052,5408,5472,5793,5051,4928,5068,4798,4923,4955,5087,5404,5630,5384,5153,5115,5119,4762,5063,4831,5212,5122,5281,5468,5271,5864,4918,4818,4835,4943,5107,5398,5504,5412,5193,4926,4695,4824,4900,4862,4927,4986,5129,4898,4645,4476,4249,4027,3983,3956,4007,4040,3977,3646,3319,3045,2784,2384,2158,1891,1792,1652,1941,1455,1304,1119,1067,1012,923,864,728,772,728,571,585,530,436,426,453,399,331,341,284,264,235,231,208,256,122,125,153]
[437,582,600,788,706,863,882,925,1032,1130,1244,1445,1724,1562,1774,2050,2326,2455,2872,3261,3595,3853,3867,3843,3782,3847,3931,4079,3968,4316,4567,4734,4773,4515,4372,4358,4352,4331,4655,4718,5185,5338,5389,5100,4794,4704,4769,4714,4988,6313,5561,5614,5558,5328,4905,4914,4933,4866,5352,5667,5814,5878,5478,5447,5008,5016,4974,5218,5224,5330,5595,5770,5666,5323,5059,4949,4807,4981,4941,5280,5397,5512,5385,5161,4950,4610,5852,4906,4865,5383,5536,5734,5431,5171,5065,4796,4875,4625,4908,4991,5230,5089,5094,4714,4566,4442,4374,4145,4240,4074,4397,4356,3856,3536,3163,2606,2493,2166,2090,1895,1722,1511,1437,1311,1440,1074,1008,893,833,799,662,649,652,641,578,494,420,387,450,295,295,356,341,216,216,170,203,201,175,217]
[573,588,583,707,755,740,790,885,1004,1167,1243,1301,1453,1626,1669,2488,2388,2587,3023,3450,3814,4253,4224,3924,3833,3823,3948,3988,4204,4711,4951,5022,4948,4733,4302,4266,4306,4366,4640,4968,5341,5655,5425,4992,4719,4733,5166,5110,5100,5571,5807,5951,6650,5381,5209,5042,4978,5200,5400,5661,5940,6176,6069,5501,5337,5358,4972,5226,5317,5613,6023,6040,5791,5365,5200,5077,4976,5012,5258,5440,5737,5825,5532,5267,4947,4914,4928,5080,5301,6469,5911,5885,5518,5070,4989,4777,4698,4913,5173,5337,5610,5391,5158,4963,4588,4540,4300,4192,4505,4429,4679,4410,3901,3436,3044,2786,2480,2192,2006,2022,1808,1617,1489,1359,1139,1147,1038,976,759,778,738,524,604,586,450,548,434,450,430,388,264,313,336,282,287,182,201,163,184,155]
[607,574,666,655,720,805,870,952,1073,1215,1278,1259,1575,1502,1796,2090,2257,2593,3912,3701,4697,4977,4849,4451,4280,4001,4137,4405,4487,5301,5515,5954,5460,5123,4663,4692,4304,4827,4955,5415,6381,6263,6015,5529,5018,4986,4764,4830,5474,5955,6825,6728,6508,5939,5240,5874,5079,5446,5758,6185,7053,6997,6507,5871,5552,5440,4961,5120,5340,6105,6640,6766,6393,5621,5292,5128,5059,5277,5359,5938,6474,6590,6078,5527,5284,4852,5013,5101,5247,5846,6442,6577,7595,5582,4957,4974,4712,4872,5253,5910,6358,6313,5829,5250,4754,4596,4139,4562,4675,5005,5322,5326,4235,3529,3150,2773,2458,2300,2053,1971,1558,1651,1338,1350,1297,1129,1010,897,882,816,925,675,663,600,526,486,401,385,333,376,353,302,306,307,253,202,155,219,200,196]
[507,558,542,641,791,847,804,961,1029,1205,1213,1409,1576,1709,1881,2187,2437,2767,3611,4529,5735,7425,6443,4982,4280,4189,4205,4312,4964,5808,6958,7122,6886,5952,4862,4781,4521,4861,5398,6595,7825,8059,7449,5913,5154,5007,5022,5160,5829,7476,8538,8738,7665,6515,5305,5113,5254,5585,7497,7831,8527,8632,7598,6348,5669,5342,5355,5526,6091,7505,8282,7947,7269,6017,5276,5110,4842,5067,5680,7228,8458,8125,7080,5941,5237,4870,4985,5157,5541,6853,7961,8260,7319,6141,5218,5896,4896,5227,5612,7358,8540,7748,6501,5395,4811,4607,4294,4771,5278,6855,7538,6743,5240,3990,3317,2698,2411,2232,1966,1977,1774,1542,1457,1394,1332,1047,977,924,884,814,783,714,606,554,503,422,423,363,358,414,366,347,301,295,267,218,240,233,245,220]
[660,634,742,789,844,891,1082,1107,1273,1417,1422,1413,1640,2084,2268,2527,3127,3696,5364,7079,7808,8002,4692,4160,4093,4393,4506,5535,6993,7704,7943,7067,5634,4703,4472,4621,4999,5969,7836,8838,8975,7353,5494,5001,5060,5063,5453,6898,8571,9789,9099,7990,6262,5093,4989,5577,5726,7010,11143,9839,9461,7886,6172,5553,5122,5249,5563,6915,9138,9589,8879,7684,6252,4929,5338,5230,5330,6539,8357,9062,8505,7230,5821,4930,4908,5119,5382,6163,8045,9265,8545,6809,5380,4918,5020,4975,5960,6579,8462,9530,8109,6329,5234,4597,4421,4369,4924,6565,8255,8977,7478,5545,3870,3131,2625,2278,2325,2039,1792,1629,1669,1359,1292,1183,1049,955,892,776,736,768,624,552,505,543,405,416,403,350,307,345,323,259,280,263,227,139,136,197,169,142]
[539,578,514,692,707,797,851,1036,991,1150,1230,1418,1478,1606,1711,2060,2308,2557,3134,3727,5142,6667,6963,6147,4114,4087,4069,4242,4508,5294,6036,7063,7002,5805,4593,4310,4390,4344,4928,6089,7560,8146,7401,5705,4718,4872,4675,4927,5574,6971,8242,8730,8173,6930,5440,5099,5071,5174,5729,7380,8655,10619,8175,6319,5320,5405,5278,5319,5887,7411,8710,8291,7588,6318,5601,4962,4754,4831,5274,6700,7905,7881,7863,6313,5065,5039,4907,4887,5367,6294,7527,8228,7868,6168,5290,4901,4720,4719,6281,6733,7655,8000,6689,5445,4318,4121,4315,4322,5002,6746,7752,7515,6302,4449,3235,2585,2382,2034,2023,1805,1551,1492,1323,1330,1209,1072,1018,856,902,745,768,735,571,475,546,582,504,366,364,283,398,252,268,265,226,220,226,171,193,92]
[523,518,651,641,764,738,831,943,1028,1163,1192,1325,1548,1676,1810,1971,2264,2581,2754,3270,4153,5340,5369,4674,3941,3822,4718,3926,4443,4856,5063,5602,5673,5056,4634,4268,4250,4352,4697,5571,5812,6304,6335,5530,4892,4725,4573,4719,5181,5726,6291,6412,6921,6000,5094,4903,5041,4874,5249,5788,6366,7166,6882,6067,6339,5037,5074,5131,5203,6133,6432,6451,6510,5741,4929,4821,4486,5014,5070,5837,6502,6491,6479,5617,4894,4760,4677,4699,4964,5672,6259,6500,6226,5575,4804,4651,4726,4550,5065,5325,6062,7098,5568,4843,4360,4268,4011,4002,4432,4910,5599,5464,5058,3516,3069,2687,2367,2173,1970,1719,1571,1601,1363,1324,1103,1053,1021,860,858,722,613,610,586,629,430,455,499,381,417,310,316,311,327,199,277,240,173,217,185,172]
[459,538,602,629,698,826,867,983,1120,1054,1147,1281,1489,1758,1771,2076,2200,2377,2709,2930,3432,4189,4334,3848,3805,3908,3975,4072,4153,5355,4877,4967,4943,4635,4418,4346,4575,4410,4382,4844,5078,5174,5286,4920,4669,4573,4674,4689,4916,5247,5413,5856,5648,5352,4965,4851,4746,4673,4828,5236,5572,5665,5803,5285,4912,5137,6052,4958,5114,5334,5435,5648,5508,5138,4810,4854,4613,4934,5138,5001,5445,5469,5556,5252,4937,4825,4923,4984,5112,5216,5329,5347,5414,5023,4613,4707,4526,4545,4580,4943,5111,5203,4952,4579,5301,4151,3879,4005,4154,4400,4185,4181,3815,3069,2845,2673,2245,2082,1953,1792,1587,1481,1358,1269,1139,1011,913,992,852,767,628,693,608,569,452,494,491,345,319,311,360,344,261,304,177,187,248,164,206,96]
[447,511,539,614,668,726,871,913,981,1104,1150,1361,1367,1614,1858,1979,2101,2531,2650,2891,3399,3642,3887,3548,3661,3864,3745,3871,3879,4343,4410,4645,5376,4371,4179,3989,4230,4372,4574,4573,4861,5112,5091,4742,4505,4451,4549,4590,4681,5059,5062,5202,5157,4919,4689,4696,4597,4519,4945,5054,5375,5253,5426,5086,4941,4756,5052,4715,4849,5971,5138,5026,4944,5041,4829,4526,4544,4700,4812,5020,5127,5040,4991,4862,4765,4540,4493,4618,4973,4832,5076,5101,4869,4920,4756,4379,4440,4548,4642,4699,4636,4658,4731,4437,4239,4085,4060,4527,4078,4174,3986,3795,3492,3165,2877,2554,2381,1984,1891,1790,1433,1507,1346,1237,1089,1037,1028,785,769,794,729,705,639,574,565,461,497,461,320,332,384,256,313,224,242,224,225,211,158,100]
[471,535,668,632,744,831,908,866,963,1066,1071,1190,1406,1590,1735,2028,2203,2300,2669,2971,3378,3673,3686,3664,3603,3870,3795,3838,3981,4277,4345,4379,4447,4462,4216,4804,3930,4320,4218,4628,4981,5081,5009,4956,4483,4317,4658,4696,4668,4854,5045,5257,5175,4867,4544,4417,4567,4406,4746,4852,5261,5285,5385,4990,4770,4958,4811,4610,4875,5075,5112,5405,6024,4941,4654,4539,4664,4677,4612,4971,5311,5266,5088,4894,4688,4539,4628,4553,4900,4832,5271,5107,5327,4809,4734,4357,4516,4267,4608,4641,4742,4782,4733,4522,4322,4317,3942,3941,3889,4854,3981,3763,3543,3128,2911,2433,2335,1903,1874,1788,1486,1418,1178,1196,1061,928,995,834,840,815,757,675,596,576,519,466,382,410,332,409,365,278,271,254,254,180,168,182,133,159]
[509,656,605,711,721,822,819,882,912,1028,1172,1199,1313,1484,1790,1871,2196,2477,2704,3091,3504,4045,3976,3614,3658,3648,3817,3829,4103,4307,4596,4777,4445,4238,4093,4141,4177,4274,5518,4718,5258,5302,5022,4721,4512,4438,4553,4779,4879,4939,5267,5447,5230,5045,4548,4488,4511,4450,4948,5005,5241,5404,5145,4902,4698,4663,4494,4879,5045,5173,5124,5350,5312,4980,4573,5506,4684,4686,4990,5305,5397,5447,5213,5091,4702,4625,4688,4425,4936,5202,5492,5564,5334,5076,4656,4620,4523,4224,4551,4629,5153,5021,4864,4465,4049,4188,4082,4071,4067,3922,4338,4222,4438,3224,2805,2461,2186,2066,1890,1693,1653,1415,1391,1213,1125,963,937,904,816,767,736,604,633,572,527,494,450,398,378,374,321,314,213,193,243,170,170,148,226,175]
[492,504,572,732,664,703,820,962,1012,1022,1096,1309,1421,1571,1756,1902,2283,2491,2934,3324,3899,3900,3965,3602,3575,3811,3867,4051,4061,4552,4910,4821,4415,4400,3901,4229,4151,4315,4694,5182,5359,6768,5480,4937,4719,4706,4445,4616,4661,5248,5289,5583,5212,4832,4677,4487,4512,4412,4784,4883,5357,5438,5365,4893,4605,4491,4590,4619,4978,5124,5486,5626,5419,4801,4773,4644,4622,4722,5998,5286,5675,5668,5018,4810,4691,4626,4746,4783,5209,5597,5946,5920,5311,4973,4812,4569,4351,4607,4684,4902,5383,5126,4937,4691,4377,4212,4027,4278,4285,4774,4609,4490,3815,3477,2967,3222,2211,2177,1863,1668,1634,1403,1494,1373,1105,1033,882,959,886,757,688,547,549,541,555,448,452,355,386,275,316,312,242,249,307,221,216,163,194,202]
[451,514,568,545,657,735,969,917,866,1020,1249,1297,1476,1538,1768,2084,2311,2682,2989,3728,4465,4754,4683,4054,3746,3619,3711,3989,4100,4824,5350,5731,5130,4418,3952,4039,4218,4400,4774,5480,6374,6355,5733,5358,5882,4743,4903,4776,5030,5717,6443,6458,5839,5170,4819,4473,4770,4584,4982,5459,5984,6197,5693,5072,4650,4464,4517,4684,5110,5768,6601,6639,6085,5139,4916,4533,4717,5079,5400,6061,6797,8233,5805,5287,4963,4770,4748,4746,5492,6429,6852,7144,6282,5297,4722,4505,4436,4468,4978,5254,6005,6091,5630,4639,4264,4067,4126,4250,4493,5105,5767,5360,4599,3418,3107,2694,2384,2301,2453,1760,1563,1454,1338,1267,1176,1026,974,825,850,717,671,553,632,535,481,416,512,381,339,377,317,269,303,285,248,239,193,211,217,183]
[456,521,561,580,681,681,724,847,991,1133,1164,1299,1243,1512,1786,1921,2173,2656,3296,4277,5615,6119,6260,4753,3852,3526,3803,3903,4498,5707,6371,6925,6699,5578,4118,3847,4105,4257,4979,6381,7902,8143,7260,5885,4900,4873,4810,5755,5274,6698,7848,7844,6858,5724,4527,4528,4412,4707,5042,6010,7425,7890,6781,5467,4682,4459,4727,4688,5365,6985,8460,8789,7006,5703,4859,4789,4747,4935,5492,7221,8533,8379,7505,6194,6118,4603,4632,5136,5928,7612,9336,9554,8075,6294,4761,4507,4199,4602,5173,6190,7328,7457,6501,5179,4451,4013,4093,4406,4636,6599,7993,7297,5744,4320,3205,2677,2584,2174,1994,1907,1645,1765,1316,1256,1205,1118,991,828,759,771,656,630,594,563,469,486,420,448,359,386,285,326,325,299,203,288,166,221,209,132]
[526,476,543,608,633,761,848,899,890,972,1112,1325,1743,1511,1698,1906,2091,2545,3161,4752,6459,7142,7095,4958,3853,3649,3836,3912,4665,5910,7476,8084,7776,6128,4618,4002,3940,4351,5223,6985,8808,9285,8226,6447,5100,4829,4707,4968,5439,6810,10149,8567,7691,5604,4848,4372,4262,4369,4967,6441,8147,8530,7019,5541,4523,4698,4502,4739,5400,7418,9330,9486,7950,6170,4901,4560,4545,4891,5744,7346,9404,9314,8271,6225,5138,4568,4637,5910,6467,8825,10707,10895,9092,6816,5057,4368,4363,4491,5191,6879,8587,9089,7419,5167,4280,3999,4019,4382,5164,7406,9090,8239,6601,4796,3170,2674,2382,2159,1934,1788,1598,1457,1333,1270,1431,951,886,876,824,736,632,675,524,502,466,496,437,367,348,347,327,284,290,295,251,262,227,197,222,155]
[513,581,591,597,617,716,743,793,917,918,1075,1205,1285,1472,1579,2103,2103,2278,2849,3745,5400,6257,6189,5011,3783,3343,3563,3849,4193,5068,6157,6551,6609,5749,4375,3972,3866,3872,4433,5664,6916,7572,7506,6195,4816,4468,4635,4465,5037,5648,7040,6923,7840,5563,4527,4213,4054,4246,4821,5762,6695,6940,6190,5161,4386,4434,4570,4497,5029,6500,7566,7688,7093,5644,4804,4394,4293,4528,5205,6817,7934,7550,7097,6123,5061,4418,4460,4545,5223,6905,10229,8723,7918,6279,4644,4249,4359,4147,4775,5978,6921,7245,6866,5226,4014,3931,3787,3945,4576,6275,7208,7242,6389,4590,3249,2693,2323,2059,1827,1735,1619,1392,1226,1206,1155,935,941,972,741,686,642,663,645,659,579,439,445,411,432,366,297,288,250,293,194,296,238,166,175,197]
[471,541,643,538,663,680,738,863,905,1019,1059,1166,1285,1425,1536,1722,1902,2161,2932,3285,3760,4771,4969,4256,3558,3428,3374,3702,3814,4217,4603,5012,5130,4468,3712,3771,3606,3873,4165,4736,5545,5586,5857,5055,4419,4270,4493,4312,4586,4936,5285,5247,5422,4664,4347,3892,5082,4222,4557,4756,4905,5308,5449,4853,4326,4325,4186,4227,4578,5417,5644,5810,5832,5030,4328,4427,4344,4351,4706,5444,6126,5804,6237,5264,4502,4364,4242,4265,4683,5303,5834,6168,6524,6605,4525,4197,4111,4165,4488,4776,5252,5339,5201,4340,3885,3877,3649,3716,4037,4600,4996,4984,4349,3583,2556,2550,2155,1967,1801,1650,1386,1314,1089,1119,1077,876,905,813,828,714,722,633,518,576,507,501,448,453,382,347,329,297,277,268,164,186,215,186,171,100]
[452,524,479,532,614,613,684,804,812,929,991,1129,1266,1302,1549,1705,1919,2158,2303,2671,3061,4230,3730,3386,3252,3263,3299,3264,3539,3826,3824,4287,4031,3799,3471,3469,3556,3746,4091,4297,4494,4882,4976,4449,4168,4155,4189,4093,4142,4282,4652,4789,4599,4097,4130,4181,4180,4041,5189,4247,4561,4626,4588,4143,4169,3996,4203,4326,4413,4599,4688,4918,4697,4339,4296,4036,4237,4214,4458,4715,4805,4958,5095,4404,4185,4120,4213,4167,4353,4762,4925,5312,5229,4164,3951,3904,4750,3847,4142,4153,4529,4383,4263,3763,3644,3570,3383,3541,3627,3858,3939,3792,3442,2919,2640,2351,2060,2041,1621,1575,1451,1290,1184,1150,1082,891,854,854,795,673,755,574,555,629,493,444,469,348,333,321,312,344,251,251,194,212,158,252,142,88]
[462,501,516,508,624,804,622,791,805,857,998,1010,1204,1374,1374,1829,1981,2094,2323,2483,2828,3230,3288,3108,3687,3200,3358,3260,3377,3768,3638,3743,3767,3407,3290,3444,3405,3618,3712,4045,4274,4357,4503,4099,3954,3876,3890,3966,3992,4154,4408,4303,4180,3885,3836,3937,3854,3760,4041,4237,4167,5176,4159,4131,3874,4018,3835,4011,4100,4302,4272,4339,4166,4062,4101,3921,4061,4160,4329,4386,4343,4400,4327,4184,3920,3994,4152,4164,4125,4311,4401,4484,4372,3903,3757,3794,3663,3628,3856,4816,3986,4005,3605,3587,3704,3418,3306,3546,3388,3518,3477,3322,2977,2648,2480,2193,2031,1828,1584,1420,1326,1251,1144,998,950,925,879,840,682,683,603,674,602,458,492,451,514,420,414,357,308,367,291,228,244,231,144,164,179,100]
[446,513,443,571,510,611,708,806,853,743,969,1031,1107,1273,1355,1609,1893,1970,2264,2532,2945,3116,3052,3061,2943,3219,3320,4008,3274,3386,3367,3492,3443,3402,3227,3373,3459,3425,3634,3896,4145,4257,4019,3958,3725,3966,3871,3818,3867,3918,4167,3969,4055,4037,3573,3708,3614,3838,3895,4068,4268,4188,4018,3903,4624,3759,3743,3653,3877,4080,4184,4117,4011,3862,3957,3823,3854,3768,3848,4023,4466,4388,4095,3831,3817,3666,3815,3820,3829,3970,4341,4194,4045,4101,3686,3474,3372,3518,3730,3560,3873,3898,4495,3583,3375,3213,3200,3310,3263,3278,3228,3265,2823,2479,2417,1985,1834,1699,1447,1494,1353,1289,1080,1008,836,846,902,715,761,597,600,577,546,505,507,482,443,395,325,378,319,310,213,165,264,218,183,126,164,164]
[492,499,478,570,669,638,766,771,836,882,938,1077,1258,1384,1561,1789,1979,2338,2705,3037,3155,3106,2922,2928,3188,3230,3209,3219,4161,3411,3423,3450,3334,3064,3194,3077,3328,3432,3899,4213,4173,3903,3760,3761,3609,3638,3684,3864,3949,4119,4064,4061,3900,3531,3522,3750,3686,3934,4157,4408,4223,4177,3916,3746,3603,4214,3704,3858,4061,4062,4128,4081,3774,3782,3691,3583,3699,4061,4223,4265,4442,4113,4006,3905,3401,3529,3887,3897,4040,4031,4262,3950,3678,3599,3466,3585,3384,3425,3809,3732,3683,3573,3432,3508,3062,3073,3047,3112,3228,3113,3374,2877,2407,2290,2038,1863,1615,1508,1337,1281,1210,1081,966,843,870,842,732,647,680,609,571,498,538,432,491,440,426,346,315,246,295,309,210,274,205,209,229,223,136,192]
[364,421,500,531,512,555,625,774,836,847,930,931,1090,1130,1376,1623,1718,2023,2435,2825,3339,3385,3339,2985,3002,2897,3126,3129,3226,3615,3700,4477,3657,3314,2981,3130,3189,3188,3522,3999,4377,4417,4095,3638,3593,3537,3414,3750,3754,4108,4361,4384,4164,3866,3724,3448,3386,3619,3945,4424,4732,4770,4373,4113,3615,3480,3396,3542,4694,4110,4418,4333,4138,3885,3545,3643,3510,3783,3929,4235,4209,4383,4163,3844,3668,3395,3427,3666,3652,3825,4257,4034,3858,3666,3442,3478,3341,3290,3423,3560,3823,3729,3570,3453,3064,3691,3016,3154,3083,3539,3604,3337,3096,2619,2115,1871,1710,1717,1469,1345,1319,1182,1096,981,962,947,778,741,679,678,594,600,492,503,507,484,377,429,352,339,344,267,219,256,268,175,260,196,216,100]
[423,489,499,503,540,582,650,618,795,836,940,882,993,991,1354,1532,1610,1951,2290,3037,3629,3982,3733,3371,3123,3141,2858,2948,3232,4011,4553,4498,4266,3411,3696,2867,2848,3230,3361,4313,5073,4942,4561,3913,3538,3437,3300,3535,3694,4246,4905,5139,4254,3816,3517,3394,3405,3350,3977,4802,5631,5851,4904,4066,3441,3474,3499,3454,3717,4328,5226,6423,4576,4006,3583,3452,3336,3711,3916,4697,5336,5384,4596,3948,3551,3310,3274,3411,3710,4424,4849,5188,4399,3756,3438,3241,3174,3293,3339,3737,4393,4739,4011,3120,2997,2908,2925,3114,3827,3884,3947,3930,3135,2639,2125,1874,1796,1542,1397,1348,1269,1189,1103,1066,973,917,879,677,718,668,606,504,525,511,476,387,397,344,321,283,303,272,284,219,186,186,235,138,183,94]
[426,381,486,587,536,577,557,711,701,713,837,919,890,1081,1233,1403,1663,1845,2559,3272,4854,5608,5011,3691,3112,3054,2954,3143,3342,4613,5552,6239,5362,3733,2961,2807,2932,3670,3843,4955,6521,6643,5671,4229,3271,3391,3167,3445,3893,5231,7045,7373,5289,4116,3371,3226,3202,3482,4244,5730,7855,7908,6596,4488,3725,3305,3333,3479,3968,5233,6859,7359,6089,4378,4093,3303,3243,3501,3967,5663,7394,7342,5717,4076,3471,3338,3331,3410,3892,5021,6265,6305,4762,3771,3156,3154,3015,3125,3301,4444,5591,5441,4398,3296,3024,2817,2720,3093,3458,4562,5693,6118,3664,2686,2151,1770,1725,1448,1460,1266,1218,1222,1103,1048,944,844,754,693,646,648,516,536,559,477,440,410,341,398,335,339,306,286,316,309,252,224,192,233,193,157]
[414,414,468,445,455,557,541,627,678,674,791,822,894,993,1135,1303,1541,1697,2269,3269,4944,6198,6013,3989,2909,2849,2952,2815,3138,4515,6289,6725,5972,4060,3041,2580,2815,2697,3365,4739,8348,7207,5962,4119,3164,2988,2947,3365,3557,5548,7327,7659,6063,4252,3320,3122,2948,3131,3975,5704,7571,8402,7158,5155,3604,3019,3141,3263,3742,5328,7152,7721,6323,4493,3359,3109,2840,3884,3898,5524,7653,7302,5988,4122,3240,3029,2959,3071,3641,4944,6242,6697,5215,3855,2970,2958,2739,2948,3194,4552,5896,6056,4722,3234,2667,2581,2600,2868,3299,4637,6474,6377,4567,3286,2648,1702,1637,1558,1347,1312,1176,1066,968,975,958,840,741,817,556,682,655,552,548,497,455,451,407,293,304,351,265,349,277,265,221,193,218,155,159,159]
[342,350,440,405,463,595,542,528,595,739,741,831,924,1007,1117,1132,1354,1588,1879,2626,3705,4680,4634,3187,2747,2699,2628,2824,2982,3615,4703,4926,4589,3657,2715,2476,2429,2572,2794,3768,5049,5439,6170,4036,3020,2816,2723,3000,3370,4387,5816,5814,4887,3688,2874,2905,2987,3020,3397,4507,5433,5773,5733,4290,3260,3058,2849,3018,3302,4078,5470,5629,5185,3804,2938,2836,2858,2835,3186,4272,6378,5102,4818,3641,3060,2722,2749,2910,3238,3955,4580,4594,4115,3220,2790,2584,2660,2733,2978,3832,4494,4681,3731,3035,2755,2454,2363,2551,2923,4246,4910,4888,3990,2804,1976,1710,1409,1511,1384,1236,1077,1116,1051,816,803,814,779,678,675,629,546,538,485,500,408,437,396,351,382,314,343,237,218,242,233,201,235,208,152,149]
[342,415,396,489,458,505,539,521,735,634,741,722,825,895,1031,1139,1114,1399,1622,1872,2492,3084,3309,2878,2449,2498,2441,2487,2558,2830,2914,3271,3311,2818,2104,2208,2205,2231,2330,2779,3133,3175,3577,3138,2486,3197,2546,2509,3047,3391,3746,3624,3702,2997,2597,2690,2699,2602,2653,3043,3231,3376,3744,3354,2886,2799,2719,2669,2860,3125,3215,3604,3410,3044,2599,2524,2587,2678,2868,3389,3319,3172,3371,3755,2414,2456,2637,2809,2663,2979,3062,3088,3017,2835,2601,2481,2309,2561,2563,2825,3009,3033,2739,2471,2165,2130,2251,2448,2382,2939,2908,3043,2704,2129,1677,1574,1347,1243,1290,1179,1323,999,965,834,792,801,737,676,634,572,570,489,463,489,436,452,336,290,401,290,302,294,239,223,171,231,187,203,177,125]
[290,363,390,410,497,506,515,534,609,654,677,861,834,866,897,1035,1040,1233,1357,1548,1839,2233,2354,2176,2328,2114,2145,2075,2168,2287,2411,2575,2486,2352,2119,2064,1948,2085,2173,2388,2541,2607,2731,2669,2482,2347,2409,2316,2901,2753,2678,2918,2867,2663,2319,2392,2457,2419,2606,2548,2823,3010,3131,2702,2537,2438,2498,2590,2620,2730,2720,2741,2901,2539,2400,2320,2248,2416,2464,2589,2649,2625,2814,2813,2299,2822,2262,2329,2462,2612,2648,2483,2549,2504,2266,2210,2233,2120,2263,2392,2402,2427,2284,2204,2198,2080,2084,2070,2226,2229,2312,2080,2095,1650,1590,1403,1175,1144,1120,1128,1018,1009,911,964,786,646,747,637,711,587,591,496,470,400,434,396,377,334,238,310,329,168,242,179,243,169,192,144,80,149]
[350,430,382,387,435,445,518,517,612,639,629,644,795,833,987,901,990,1135,1196,1345,1465,1790,2065,1980,1860,2076,2017,2003,2055,2090,2175,2142,2158,2151,2118,1887,1869,1966,2024,2223,2233,2335,2404,2350,2181,2111,2152,2267,2161,2382,2415,3028,2454,2281,2383,2322,2420,2378,2321,2350,2701,2471,2575,2431,2349,2349,2237,2323,2367,2327,2484,2566,2498,2256,2192,2243,2353,2154,2353,2198,2434,2567,2542,2202,2219,2155,2045,2197,2474,2283,2228,2486,2273,2182,2122,2107,1997,1951,2035,2196,2190,2137,2042,2100,1915,1994,1791,1957,1845,2056,1974,1942,1701,1645,1327,1394,1171,1111,1127,1051,995,845,817,754,742,775,795,609,575,483,607,482,393,421,452,369,327,397,330,330,328,302,267,218,234,254,185,182,115,202]
[394,320,460,406,390,387,444,487,495,628,605,633,673,755,780,874,832,1239,1097,1254,1465,1540,1653,1665,1849,1873,1898,1812,1980,2064,1848,1878,2009,1876,1772,1830,1761,1887,1847,1985,2071,2096,2163,2100,1892,2058,2198,2006,2121,2217,2059,2199,2354,2398,2504,2115,2044,2100,2035,2194,2410,2364,2343,2238,2120,2192,2040,2178,2096,2132,2299,2215,2191,2244,2056,2144,2110,2126,2117,2123,2299,2207,2200,2111,2168,2059,2049,2128,2067,2056,1996,2602,2034,2078,1945,1967,2031,2001,1996,1987,2005,2009,1893,1943,1774,1801,1763,1750,1702,1710,1791,1578,1567,1522,1354,1198,1172,1181,991,969,838,890,781,740,768,749,666,671,565,686,588,536,380,423,380,406,365,328,300,336,270,285,247,235,257,164,219,167,202,200]
[299,345,370,376,450,396,481,442,503,491,603,664,705,616,793,728,879,954,952,1083,1504,1310,1476,1585,1598,1630,1598,1544,1605,1620,1627,1664,1599,1722,1667,1679,1653,1700,1764,1830,1855,1968,1726,1942,2035,1904,1943,1956,1921,1885,2108,2139,2045,2082,1889,2026,1935,2367,2063,1998,2078,2125,2103,1968,1951,1948,1993,2197,2025,2040,2067,2200,2051,2101,2001,1972,1951,2085,1967,1921,1953,2011,2116,1902,1882,1878,2005,1890,1875,1892,1959,1902,1962,1908,2178,1884,1814,1797,1772,1887,1885,1758,1809,1826,1782,1697,1662,1549,1692,1439,1494,1514,1467,1325,1207,1209,1131,1116,985,947,753,775,726,732,701,704,608,580,541,450,453,484,495,411,392,388,343,340,255,318,238,231,238,237,217,225,208,105,100,70]
[286,363,372,328,462,440,487,432,475,559,515,613,615,657,669,727,810,903,886,1021,1071,1158,1260,1510,1399,1340,1217,1454,1440,1527,1432,1414,1527,1426,1657,1466,1468,1601,1685,1675,1679,1654,1724,1668,1645,1589,1631,1767,1809,1885,1886,1845,1844,1828,1809,1775,1637,1738,1854,1836,2127,1935,1872,1762,1884,1801,1899,1965,1861,1913,1846,1901,1815,1796,1825,1802,1888,1805,1894,1971,1748,1805,1844,1942,1921,1819,1798,1795,1838,1824,1725,1873,1827,1787,1649,1845,1707,2009,1756,1730,1588,1676,1545,1701,1402,1535,1425,1442,1406,1366,1470,1306,1263,1249,1143,1102,1101,922,906,889,899,730,715,774,634,613,679,517,570,492,437,426,401,347,457,405,363,274,265,320,291,258,264,193,186,171,151,212,90,164]
[296,279,378,307,391,443,503,452,418,476,516,523,528,613,663,673,764,738,942,951,929,1086,1111,1102,1127,1362,1279,1211,1306,1589,1303,1433,1413,1381,1422,1353,1464,1534,1505,1505,1704,1688,1599,1581,1513,1619,1482,1642,1666,1676,1667,1761,1840,1752,1696,1711,1701,1528,1730,1747,1862,1823,1798,2064,1722,1648,1860,1738,1732,1807,1886,1818,1709,1811,1653,1647,1773,1768,1733,1824,1675,1840,1714,1783,1687,1651,1580,1652,1684,1682,1579,1743,1706,1580,1577,1579,1587,1545,1564,1575,2003,1571,1572,1389,1465,1469,1351,1254,1255,1232,1390,1233,1211,1185,1105,976,978,993,966,840,767,794,703,670,670,517,503,549,551,473,405,461,459,367,339,295,328,339,265,295,232,221,189,244,227,181,199,90,90,96]
[303,329,325,274,400,435,433,443,446,481,508,557,515,569,526,662,737,805,841,944,876,862,937,1041,967,1068,1062,1049,1459,1218,1320,1258,1341,1139,1240,1249,1270,1402,1373,1475,1437,1474,1528,1293,1428,1433,1355,1512,1571,1487,1735,1647,1628,1439,1417,1529,1550,1495,1607,1554,1649,1658,1705,1580,1555,1529,1902,1634,1623,1571,1786,1643,1689,1647,1621,1493,1474,1664,1519,1669,1606,1633,1586,1714,1549,1621,1544,1526,1491,1581,1577,1655,1515,1505,1488,1417,1461,1294,1505,1633,1375,1438,1347,1591,1285,1260,1367,1270,1333,1334,1136,1185,1026,1197,986,1069,899,880,900,836,799,754,773,669,603,494,557,446,507,515,401,395,409,404,309,404,309,364,269,235,201,230,258,207,150,223,216,210,94,90]
[338,307,353,296,370,368,389,458,406,420,574,520,563,625,617,642,719,658,704,706,888,891,899,805,940,1056,1110,955,1037,1132,1047,1381,1134,1130,1158,1088,1169,1250,1196,1316,1301,1440,1335,1292,1300,1252,1324,1318,1483,1322,1444,1376,1461,1463,1333,1463,1402,1374,1494,1619,1646,1661,1551,1481,1598,1473,1567,1487,1854,1653,1524,1556,1570,1395,1451,1423,1468,1387,1578,1628,1570,1461,1570,1486,1493,1393,1522,1311,1461,1417,1516,1422,1414,1406,1368,1286,1352,1253,1335,1268,1421,1408,1205,1259,1218,1275,1430,1146,1063,1081,1089,972,1066,985,1045,769,880,917,849,820,766,711,725,713,584,642,521,526,475,416,412,388,339,405,334,371,301,297,231,233,246,216,229,239,212,202,120,103,88,176]
[324,309,341,290,399,383,438,332,379,437,482,523,512,515,603,539,592,646,707,715,776,769,743,839,930,967,832,982,967,1056,1152,1191,1144,1168,1337,1023,1115,1221,1244,1273,1218,1275,1194,1272,1227,1193,1287,1188,1269,1319,1423,1377,1518,1262,1298,1258,1468,1333,1393,1419,1387,1507,1467,1437,1371,1390,1416,1318,1311,1431,1554,1809,1452,1377,1516,1463,1408,1324,1431,1397,1405,1491,1371,1406,1404,1299,1199,1421,1347,1339,1360,1212,1373,1306,1247,1293,1429,1258,1274,1340,1286,1249,1233,1207,1196,1152,1109,1096,1222,1024,1080,1061,896,925,878,818,728,781,771,749,683,727,675,624,598,576,527,454,441,397,388,407,340,337,322,323,326,320,346,189,279,213,143,219,165,267,207,98,92,156]
[300,294,374,368,342,343,395,475,439,461,491,536,491,509,618,522,633,555,664,641,809,786,799,771,829,906,824,928,941,923,836,1063,1070,969,1007,1291,1186,1019,1234,1154,1262,1103,1147,1161,1249,1110,1122,1120,1232,1323,1161,1254,1278,1253,1229,1221,1268,1357,1192,1248,1338,1324,1264,1275,1253,1232,1309,1289,1328,1199,1354,1281,1502,1208,1183,1270,1201,1327,1323,1249,1311,1190,1233,1300,1258,1280,1130,1231,1251,1303,1310,1272,1207,1165,1208,1292,1080,1228,1177,1242,1162,1101,1058,1027,948,988,986,949,1006,1132,884,782,848,819,665,765,737,747,641,681,636,626,563,498,544,435,524,413,403,476,372,343,325,363,295,287,331,285,244,224,211,206,148,215,98,146,145,201,70,120]
[308,352,326,303,349,343,289,331,475,415,529,422,447,502,479,524,490,529,573,640,606,738,732,695,768,758,778,860,767,879,955,930,897,931,945,954,1023,944,1264,1102,1099,1037,1055,1067,1068,1087,1062,1047,1114,1202,1145,1210,1174,1219,1099,1204,1173,1173,1211,1181,1125,1307,1173,1197,1216,1427,1198,1113,1180,1246,1253,1307,1209,1135,1198,1541,1308,1270,1149,1309,1202,1170,1192,1223,1153,1237,1129,1136,1259,1083,1219,1131,1077,1144,1075,1136,1069,999,1161,1045,1097,1071,1005,1022,1001,947,880,940,909,965,891,891,937,761,816,648,681,728,637,699,574,557,547,482,616,480,506,433,469,412,390,384,408,332,256,251,329,336,256,199,249,238,216,192,161,177,149,174,164,70]
[351,303,262,360,267,356,329,293,337,437,470,414,373,402,489,502,476,592,539,628,596,641,676,594,653,636,650,735,776,748,755,782,942,821,908,951,917,878,848,895,895,1157,1037,1015,1028,1065,1048,1024,1088,977,1137,1098,1061,1102,1126,1133,950,1076,1151,1137,1101,1150,1169,1169,1102,1074,1173,1069,1153,1233,1129,1141,1175,1063,1104,1109,1019,1175,1386,1127,1109,1187,1040,1056,1073,1129,911,992,1128,1152,1113,1084,1142,974,996,920,998,903,999,975,1025,1018,995,940,944,775,821,770,840,788,861,741,779,810,775,732,626,668,537,670,637,584,511,423,384,515,441,382,474,386,481,321,372,275,344,285,272,244,263,244,272,227,161,221,192,156,196,92,100,62]
[236,272,344,288,350,272,396,358,341,423,437,434,420,489,414,389,483,520,492,529,564,545,624,575,612,640,706,744,715,779,754,723,808,766,855,802,799,812,937,848,878,970,887,830,1147,849,853,942,1063,1070,989,1068,1040,1011,1047,1002,1141,1016,984,1122,1122,1148,1054,1011,1033,1094,1050,981,1080,1023,1138,1136,1086,992,1095,1084,1065,1027,1058,1123,988,1301,1179,976,992,981,999,907,1000,1006,1088,1038,1057,985,899,917,914,943,1002,979,933,968,935,806,806,802,862,783,818,791,732,746,710,763,555,692,636,629,772,629,574,544,535,529,450,416,399,465,434,444,405,343,358,414,297,240,272,253,183,167,207,191,194,121,209,228,96,92,92,84]
[197,236,292,310,286,284,275,339,341,420,405,323,422,397,427,516,517,450,416,508,469,576,532,581,604,563,626,652,621,538,802,733,901,755,724,774,712,756,801,746,846,862,882,911,895,908,1120,799,922,958,995,956,973,931,999,968,940,940,911,1032,892,1114,1090,962,994,896,949,1015,1055,978,985,1070,1087,970,952,880,984,920,1017,1052,1048,946,939,946,1136,942,903,978,876,936,930,979,925,802,958,918,898,852,860,911,839,856,869,846,790,817,725,727,648,687,747,731,657,582,590,570,546,605,480,496,506,558,522,429,497,389,420,403,354,368,343,275,250,311,256,265,224,245,226,198,182,235,224,190,124,94,187,84,96,78]
[277,322,231,284,294,310,289,327,352,353,391,306,413,335,423,460,384,427,541,557,369,467,537,569,506,533,559,573,553,650,759,660,626,688,667,633,633,750,657,766,760,717,799,820,773,785,798,861,779,1008,851,894,985,854,932,856,905,776,858,982,1006,935,937,924,947,925,1002,916,970,932,936,951,899,987,905,931,854,979,972,863,963,890,998,911,906,835,796,1006,891,817,866,835,960,880,809,818,742,759,844,753,744,877,806,830,816,750,750,671,651,601,730,616,693,614,637,599,540,565,577,467,513,378,404,448,476,437,394,352,326,361,332,309,331,221,267,298,256,251,203,189,208,216,198,190,158,94,186,66,94,90]
[245,261,271,299,249,316,330,272,298,319,217,265,384,324,388,453,353,433,406,406,494,497,416,520,406,433,533,591,597,648,591,598,652,681,597,716,641,654,757,747,800,668,809,713,780,724,742,731,824,778,788,773,1090,772,775,757,774,802,847,823,768,843,817,859,812,836,789,927,843,802,820,807,823,873,815,874,926,825,799,859,834,905,815,751,766,862,826,867,786,795,968,855,817,862,721,805,735,820,689,803,754,680,724,710,687,654,694,636,647,565,618,638,665,535,547,593,456,457,454,505,433,461,430,433,421,410,376,480,336,388,319,270,359,236,290,267,255,214,220,221,262,251,138,166,214,197,198,80,96,84]
[221,219,241,301,304,240,262,224,291,237,285,297,288,290,322,378,366,393,407,501,469,407,459,406,425,486,494,545,582,574,635,547,513,526,625,589,575,638,659,683,647,720,655,636,711,733,697,801,775,727,704,756,774,751,769,853,709,843,816,815,821,730,867,747,747,810,827,764,800,834,749,785,845,811,748,792,734,815,762,786,703,775,745,704,694,810,828,703,709,794,735,769,796,952,653,622,637,673,751,677,701,694,537,752,586,565,597,665,547,529,483,505,518,521,479,500,520,478,411,417,462,415,426,366,411,355,322,400,285,379,317,297,268,234,291,270,196,222,177,121,184,197,204,146,166,76,96,190,100,62]
[262,237,209,242,226,206,335,341,288,324,272,280,294,301,320,323,358,298,350,416,493,482,439,404,479,471,531,514,553,532,533,585,618,546,547,582,519,641,632,575,666,639,549,680,683,770,606,717,613,693,665,699,699,695,727,794,805,841,875,751,857,803,754,725,648,781,699,738,710,732,767,792,809,789,749,825,707,760,694,732,821,750,747,739,690,702,737,769,701,658,614,765,677,639,679,674,760,630,665,679,611,604,525,567,552,596,573,619,569,514,571,524,456,399,483,499,504,376,490,404,387,379,418,344,310,396,345,369,299,292,266,250,253,227,285,181,277,171,211,230,217,192,171,208,140,151,84,80,80,70]
[235,192,296,245,179,203,182,241,297,304,255,253,353,293,297,295,319,309,348,323,458,339,446,451,468,378,396,424,408,565,498,487,453,486,575,521,469,503,529,598,499,702,607,558,618,685,618,656,614,633,705,612,717,668,672,700,682,655,660,631,700,848,656,686,707,743,700,706,671,594,681,691,653,650,703,699,666,759,672,638,689,671,689,719,660,639,674,671,721,683,625,551,634,618,680,562,605,566,554,690,525,580,537,563,541,503,543,504,510,583,453,448,359,442,425,393,491,394,432,381,394,326,312,328,384,332,283,255,243,314,241,347,259,270,222,278,219,202,179,221,145,188,148,96,98,86,62,66,94,48]
[263,190,207,196,278,247,183,237,216,236,272,297,199,314,285,313,427,372,245,366,362,400,329,401,353,494,461,568,430,466,413,404,471,434,481,495,475,577,538,510,563,575,495,637,564,542,582,680,663,602,599,577,633,638,595,618,612,638,635,624,700,646,656,601,772,724,679,691,721,708,712,638,591,645,697,642,607,660,581,637,619,646,610,589,686,606,596,573,647,670,574,592,628,525,628,494,519,584,534,524,544,488,604,445,505,498,569,517,518,523,466,450,339,405,402,442,433,386,373,372,348,307,389,409,357,283,287,313,287,296,255,224,283,215,275,252,215,238,137,181,142,150,120,159,134,74,72,70,76,62]
[211,148,256,214,250,273,242,227,256,257,215,249,233,278,281,342,301,255,310,362,307,293,438,376,321,420,376,376,444,368,527,538,461,393,465,408,534,504,517,448,506,563,470,587,449,546,627,559,596,595,571,507,601,545,632,648,747,697,675,685,594,692,601,643,568,652,563,747,618,627,621,636,649,605,605,618,604,545,537,631,568,645,564,575,556,548,564,599,544,584,615,569,608,553,580,570,532,564,542,502,451,482,457,501,664,478,466,500,429,372,472,419,376,420,418,406,336,405,396,284,412,345,347,270,284,299,231,353,261,305,288,236,209,146,231,212,189,190,196,162,181,74,96,98,92,92,118,74,64,62]
[243,205,231,239,204,169,216,292,269,248,289,225,192,246,280,262,336,351,263,272,311,317,355,376,307,360,340,409,403,450,447,406,427,473,470,386,509,498,437,546,417,393,520,536,514,502,478,522,497,576,541,604,486,527,568,577,567,616,560,594,601,635,549,553,484,511,623,533,559,634,760,576,630,655,545,507,502,612,595,574,616,517,504,515,526,539,487,558,567,553,503,527,513,551,536,494,528,478,524,509,531,485,410,463,464,463,483,468,397,396,409,371,386,419,343,329,322,317,386,285,336,308,332,275,372,310,205,254,338,260,266,226,272,216,279,244,120,235,185,216,96,119,167,138,76,82,64,60,70,70]
[174,169,145,142,266,225,189,243,183,288,181,196,222,247,220,220,318,323,275,297,270,313,248,336,316,290,318,319,369,389,368,405,336,396,474,511,385,507,389,431,519,461,464,450,518,488,440,471,518,475,472,537,450,502,553,547,546,565,481,505,575,526,479,481,470,587,480,539,534,612,504,559,603,681,551,496,558,532,531,467,439,526,520,485,534,598,522,445,495,565,461,531,545,534,391,492,475,483,377,486,482,396,418,392,475,394,359,388,417,399,450,419,313,287,331,288,359,292,352,309,356,268,313,273,293,218,284,262,261,202,190,227,237,230,200,199,221,146,126,98,140,159,94,94,76,86,80,62,58,60]
[230,253,193,186,202,243,249,242,220,248,234,271,178,190,250,279,244,223,336,260,286,296,251,311,267,302,274,360,343,321,370,391,445,318,436,374,349,386,487,421,396,354,460,489,529,424,492,449,402,444,472,467,529,559,473,419,506,484,443,468,445,529,496,522,457,502,491,519,462,447,451,472,487,486,529,549,514,461,485,485,455,518,466,446,543,449,484,512,454,440,463,424,394,416,399,384,411,453,367,393,355,450,381,420,390,380,387,371,329,343,379,292,411,411,389,320,248,314,314,266,341,260,257,209,214,267,291,164,272,246,272,163,222,208,169,156,188,168,122,215,90,100,86,84,105,94,54,58,64,66]
[167,161,191,170,236,222,222,139,257,243,250,222,283,217,236,235,298,267,225,326,306,300,299,282,322,263,318,385,315,325,372,400,304,396,391,418,387,408,327,364,402,454,397,382,383,465,435,415,504,473,458,361,467,485,549,379,474,397,423,477,483,432,453,414,536,476,395,503,451,520,517,510,525,481,512,474,491,452,444,598,484,486,439,399,496,471,409,413,414,443,467,362,376,379,418,392,331,399,403,354,369,419,399,353,302,425,394,350,345,315,361,339,303,327,279,253,358,329,266,316,253,276,297,279,278,259,216,277,206,222,224,189,183,158,228,173,168,94,150,88,142,84,86,78,56,74,72,68,54,50]
[154,194,138,205,181,151,250,225,177,203,230,196,238,298,297,230,209,202,273,212,184,217,255,280,324,271,309,285,285,305,320,308,308,290,334,346,402,385,409,344,359,366,425,403,469,351,418,489,414,418,471,456,406,480,454,361,445,373,433,482,436,446,415,475,460,450,393,454,398,521,457,437,458,478,498,374,466,477,418,434,390,384,542,426,453,417,392,437,400,380,444,366,412,374,378,323,351,279,346,390,343,433,306,420,307,350,275,377,293,334,226,298,296,303,338,249,216,302,284,395,282,252,193,258,267,166,248,180,223,191,207,171,147,221,98,155,229,174,96,74,147,90,94,72,56,88,68,60,56,64]
[211,168,182,141,244,123,168,253,212,204,196,161,274,220,275,253,187,280,233,284,264,263,234,325,284,342,324,306,240,273,328,306,288,285,291,369,372,325,349,345,431,344,389,411,504,388,375,424,391,405,451,393,366,368,456,351,422,386,344,396,344,426,391,359,393,404,356,343,444,395,384,356,414,410,384,368,389,418,453,362,362,390,521,441,458,402,412,379,281,431,334,355,365,429,367,333,308,367,346,315,302,370,315,293,227,345,234,263,238,279,275,354,300,253,259,288,223,271,261,263,214,285,164,264,165,166,185,152,219,149,148,143,107,134,170,82,98,80,80,76,98,76,68,86,42,42,52,80,48,44]

{"sheet":"Figure_1D_layer_15","index":15,"n_rows":150,"n_cols":150,"rows_kept":150}
[34,26,30,10,44,44,50,36,48,46,58,70,80,74,88,127,228,169,146,189,323,292,254,257,377,354,378,323,384,471,372,446,453,503,483,472,539,584,593,513,634,595,717,595,656,744,680,656,683,691,665,636,553,733,722,762,693,752,780,815,797,729,723,809,785,707,828,735,743,699,816,756,860,745,728,679,764,739,727,809,721,724,840,967,808,851,761,793,861,746,674,788,872,825,758,740,719,866,735,720,716,701,688,728,693,804,648,677,726,719,630,680,708,661,642,611,622,524,585,578,554,568,543,424,505,383,411,413,400,401,363,363,339,395,294,284,289,289,277,199,314,320,186,271,195,251,174,206,163,204]
[26,12,32,28,28,30,26,44,52,62,64,92,70,166,86,220,182,237,204,264,251,371,352,309,373,399,410,431,399,377,544,540,555,577,541,614,608,686,576,659,610,677,600,682,663,814,721,706,812,759,729,697,693,745,819,760,816,764,810,890,681,721,722,758,914,786,818,773,838,778,861,839,781,715,878,830,910,767,850,849,817,752,853,761,858,830,993,806,828,845,829,787,798,911,857,791,800,840,811,729,728,790,787,712,839,919,798,762,748,754,845,722,705,715,685,631,602,575,609,610,539,571,578,577,574,438,446,439,410,399,343,428,405,398,337,324,310,333,273,280,278,323,241,221,186,208,255,167,173,212]
[28,34,34,38,32,38,38,60,54,74,66,84,118,94,217,140,190,191,296,272,251,270,351,343,434,481,498,482,486,531,488,525,544,670,586,585,644,627,725,652,720,782,718,711,747,723,706,794,810,890,856,1002,888,875,859,885,832,893,801,847,756,817,851,801,808,858,850,895,772,836,799,911,859,890,858,872,857,909,836,792,902,895,822,957,759,859,882,841,1027,861,870,830,857,840,911,874,857,783,810,740,755,822,846,810,768,821,810,745,709,858,692,783,769,787,709,668,684,687,680,600,590,466,606,488,547,526,545,435,402,487,413,296,331,348,272,310,299,333,234,217,218,229,253,199,154,247,185,230,223,161]
[24,38,36,38,44,34,36,64,66,74,54,64,72,96,151,215,250,307,350,254,380,353,388,429,458,494,517,550,500,580,588,674,684,616,644,686,740,727,782,799,728,794,826,831,757,678,847,880,925,777,815,856,923,975,1121,984,954,902,931,941,900,914,949,938,986,1050,939,924,955,936,902,848,954,930,917,955,1033,967,1094,994,936,986,931,883,970,992,1008,924,839,947,853,1010,930,834,886,918,872,911,958,867,890,933,934,911,813,842,848,734,810,896,785,749,788,795,834,755,702,684,655,617,602,567,651,604,524,578,544,469,530,434,456,387,425,389,320,429,355,311,275,244,194,243,275,290,264,204,227,220,258,224]
[38,24,34,42,26,42,56,60,60,70,94,131,215,220,235,294,299,308,374,348,487,473,337,414,512,451,438,506,580,567,663,569,693,747,746,748,743,709,760,819,775,797,841,793,869,844,950,903,944,883,926,999,926,926,993,1006,948,1243,939,869,943,889,998,1034,952,1003,1001,1031,953,1042,1076,1015,1011,990,994,972,1048,1026,942,991,1048,1086,1068,901,1049,1033,989,971,982,1092,1024,967,1024,1089,1150,968,1033,989,956,989,957,983,1018,955,1000,971,1034,968,877,897,800,806,781,808,833,832,874,792,670,620,704,717,617,615,547,577,528,504,486,539,381,435,516,347,396,349,278,344,242,372,329,295,216,255,251,217,170,179,181,220]
[30,32,50,66,38,54,36,70,74,58,94,121,210,155,254,241,279,335,252,409,449,401,553,554,557,492,574,560,732,614,707,763,806,781,749,792,845,911,875,800,846,957,1003,987,910,938,957,935,1006,925,991,978,989,1027,1077,1014,1078,947,999,1052,1239,1069,1042,993,1125,1157,1107,973,1022,1107,1066,1101,1035,1110,998,1176,1179,1081,1077,1105,1139,1052,1074,1136,1113,1070,1073,1099,1041,1016,992,1067,1000,1082,1030,1142,1031,1316,1052,1033,1009,965,1043,968,1052,944,1019,899,900,936,898,824,932,831,822,879,789,755,800,746,740,642,702,594,625,532,543,576,441,466,534,406,451,440,385,396,319,390,320,330,278,291,304,284,211,266,249,280,221,239]
[38,40,26,64,58,70,62,72,68,116,147,150,229,213,256,257,298,364,385,450,398,491,445,554,641,676,636,722,679,839,725,762,857,828,770,956,925,885,963,951,933,975,883,1055,1086,946,1121,1041,1146,1103,1140,1108,1073,1064,1125,1136,1053,1164,1232,1208,1082,1085,1509,1150,1156,1089,1282,1172,1116,1182,1183,1195,1227,1152,1216,1170,1221,1162,1136,1253,1184,1061,1206,1200,1280,1103,1046,1057,1299,1156,1183,1110,1109,1167,1130,1126,1088,1115,994,1119,1195,1121,1082,1072,1010,1091,1022,1096,1029,969,984,959,988,989,926,853,870,891,767,680,661,736,679,618,605,596,566,597,516,496,465,511,425,381,425,370,367,353,372,328,320,332,310,286,251,302,220,181,296,201]
[54,52,44,58,38,38,68,94,52,96,168,146,248,274,306,293,355,346,479,476,434,542,577,535,544,689,596,750,766,921,829,903,854,861,891,927,974,1009,984,1036,999,1022,992,1114,1043,1080,1023,1215,1167,1111,1104,1200,1080,1123,1151,1214,1149,1172,1183,1310,1236,1161,1235,1314,1127,1210,1521,1167,1289,1200,1252,1240,1348,1299,1258,1129,1281,1350,1157,1334,1195,1227,1240,1222,1161,1159,1148,1147,1252,1224,1136,1199,1228,1300,1152,1201,1201,1168,1195,1171,1237,1215,1081,1343,1188,1124,1092,1156,996,935,1024,1004,959,963,937,906,869,819,901,845,702,818,733,645,703,596,606,528,643,515,493,437,517,402,385,352,323,350,313,340,324,393,210,310,220,274,282,227,231,205]
[46,44,54,56,50,90,58,74,135,136,217,242,250,294,360,389,323,380,490,522,507,567,533,654,628,619,737,828,917,865,981,1119,1065,1053,1092,1083,1084,1095,1226,1019,1151,1161,1168,1190,1261,1177,1218,1203,1198,1228,1196,1163,1242,1361,1326,1327,1273,1282,1232,1300,1324,1254,1343,1293,1306,1269,1283,1248,1376,1462,1328,1392,1306,1293,1440,1345,1313,1408,1350,1328,1189,1363,1360,1221,1380,1292,1263,1264,1358,1245,1238,1267,1358,1199,1340,1276,1385,1277,1216,1350,1193,1259,1192,1194,1202,1251,1313,1135,1097,1093,1097,1124,1069,1010,937,963,915,866,900,822,788,806,805,751,734,695,556,616,493,485,508,568,405,429,396,389,343,342,309,301,347,277,360,255,266,235,190,249,200,235]
[52,48,68,56,76,78,78,103,179,150,230,283,287,234,394,398,401,463,479,497,624,728,695,745,779,798,809,828,1006,1009,990,978,1055,1087,1337,1059,1168,1162,1271,1260,1204,1222,1158,1290,1262,1300,1387,1212,1290,1194,1227,1379,1354,1247,1330,1317,1335,1468,1490,1411,1429,1402,1451,1401,1480,1378,1522,1407,1482,1498,1378,1305,1778,1354,1366,1408,1419,1416,1403,1392,1368,1266,1404,1367,1418,1441,1354,1453,1435,1317,1339,1300,1313,1441,1400,1336,1312,1299,1399,1358,1296,1356,1225,1358,1294,1284,1234,1234,1293,1537,1156,1089,1078,1110,1114,1069,992,1110,1043,898,781,807,847,816,781,739,653,645,597,558,597,453,435,440,425,340,379,412,412,357,386,323,285,186,261,259,279,258,216,215]
[62,54,58,80,82,80,86,96,150,238,241,336,274,343,314,423,424,451,599,666,694,672,667,785,883,861,931,931,956,1073,1036,1160,1208,1260,1223,1147,1235,1522,1180,1272,1381,1416,1326,1449,1425,1389,1445,1466,1373,1494,1463,1485,1503,1444,1549,1507,1575,1557,1454,1557,1502,1415,1582,1547,1500,1527,1501,1621,1521,1498,1465,1448,1516,1536,1526,1762,1472,1592,1551,1471,1396,1466,1528,1583,1537,1434,1510,1512,1495,1480,1550,1531,1452,1426,1492,1562,1347,1461,1457,1444,1417,1476,1455,1453,1339,1323,1438,1331,1308,1283,1272,1281,1297,1128,1147,1125,984,992,1051,1042,886,869,832,776,792,634,777,715,553,539,592,525,431,519,393,485,321,423,379,384,345,346,294,319,238,248,236,234,182,290]
[50,58,76,88,86,96,213,166,239,247,292,304,359,368,389,473,437,554,615,665,715,804,824,895,900,980,980,1099,1031,1136,1155,1197,1310,1318,1327,1353,1426,1394,1310,1344,1799,1399,1362,1588,1503,1460,1566,1576,1551,1472,1615,1692,1466,1640,1713,1671,1612,1672,1630,1617,1678,1694,1679,1567,1669,1659,1790,1679,1672,1557,1748,1659,1720,1624,1684,1571,1760,2014,1594,1599,1604,1615,1553,1670,1703,1709,1697,1706,1744,1537,1478,1663,1661,1450,1592,1698,1625,1659,1584,1479,1530,1523,1528,1512,1492,1370,1517,1406,1446,1438,1332,1306,1246,1256,1187,1445,1143,1039,1118,960,895,924,881,879,819,791,672,750,706,635,569,567,550,469,495,354,432,355,398,393,306,381,274,268,261,244,240,206,164,197]
[58,62,92,64,82,100,209,238,230,225,291,355,439,396,446,436,609,592,633,719,854,898,881,947,980,1050,1052,1212,1215,1271,1412,1422,1392,1498,1491,1433,1443,1530,1550,1477,1631,1576,1598,1985,1570,1667,1558,1707,1636,1573,1570,1596,1729,1693,1758,1722,1788,1768,1648,1800,1740,1874,1876,1911,1800,1807,1798,1828,1807,1771,1748,1787,1784,1673,1727,1858,1754,1857,1822,1737,2128,1733,1757,1799,1703,1622,1704,1724,1722,1761,1701,1729,1749,1721,1623,1646,1593,1724,1572,1740,1592,1564,1647,1543,1572,1507,1529,1511,1585,1347,1455,1407,1441,1345,1288,1241,1103,1364,1001,1013,972,976,1004,787,866,719,792,640,622,668,652,541,555,484,523,503,400,479,488,399,384,356,332,336,342,277,301,275,186,192]
[56,72,80,82,92,185,209,194,253,261,343,344,413,398,465,507,603,633,647,809,856,977,1020,1017,1112,1156,1273,1237,1365,1335,1371,1531,1375,1487,1515,1501,1641,1638,1561,1704,1735,1725,1754,1770,1862,2119,1622,1910,1735,1807,1839,1910,1832,1831,1860,1930,1811,1987,1976,1920,1948,1899,1865,1911,1987,1961,1964,1965,2033,1936,1998,1915,1886,1820,1859,1931,1947,1835,1751,1892,1906,1958,1845,2259,1858,1786,1722,1788,1808,1863,1834,1816,1741,1762,1692,1925,1821,1762,1726,1787,1663,1748,1701,1675,1651,1636,1553,1507,1626,1486,1584,1412,1330,1476,1588,1295,1234,1163,1168,1060,1281,1018,961,972,934,859,780,733,649,593,611,578,581,530,456,478,443,416,332,479,367,370,355,211,326,301,238,260,247,154]
[62,66,70,66,172,201,236,266,263,314,364,433,514,538,583,698,735,778,796,929,896,1017,1136,1228,1110,1189,1405,1396,1408,1554,1596,1676,1739,1743,1732,1725,1741,1708,1798,1914,1920,1799,2019,1901,1854,1860,1931,1883,2343,1974,1982,1941,1963,2056,2042,2095,2055,2071,1972,2076,2106,2044,2182,2196,2154,2017,2084,2090,2090,2040,1982,2231,2087,2022,2063,1938,2063,1933,1986,1996,2008,2000,1973,1983,2030,1970,2373,1881,1860,1971,2024,1846,1934,1892,1965,1913,1967,1747,1877,1770,1804,1945,1803,1994,1760,1745,1737,1751,1745,1598,1481,1520,1550,1402,1565,1413,1363,1276,1240,1160,1187,1122,1010,1200,931,866,778,803,691,733,634,557,652,517,519,452,491,392,363,333,358,369,344,354,272,309,235,245,270,317]
[82,82,88,123,211,217,174,189,323,311,310,344,452,592,621,611,765,745,917,950,1069,1122,1151,1340,1297,1443,1475,1580,1696,1756,1712,1817,1828,1914,1928,1804,1940,1919,2082,2016,2007,2154,2174,2022,2281,2150,2067,2177,2100,2021,2112,2647,2137,2145,2295,2122,2252,2154,2314,2351,2325,2389,2246,2361,2398,2279,2286,2184,2311,2378,2181,2246,2300,2253,2310,2098,2209,2167,2130,2246,2128,2194,2108,2155,2173,2190,2237,2172,2069,2489,2145,1914,2119,2119,2069,2049,2091,1997,1956,1948,1896,1949,1974,1882,2033,1937,1791,1903,1737,1787,1864,1739,1720,1637,1641,1429,1440,1270,1346,1256,1200,1204,1093,997,1012,901,1029,830,709,701,715,693,607,519,443,501,394,367,414,417,347,385,292,391,342,348,257,251,250,287]
[92,88,203,199,148,255,313,203,241,331,316,383,526,601,674,671,881,1263,1001,1068,1250,1313,1424,1413,1566,1499,1761,1681,1822,1896,1861,2010,2101,2113,2160,2017,2097,2137,2165,2141,2134,2313,2340,2122,2248,2206,2289,2358,2357,2320,2384,2364,2457,2553,2877,2282,2396,2468,2433,2672,2472,2579,2548,2573,2558,2323,2448,2348,2340,2391,2366,2530,2449,2403,2412,2331,2355,2409,2274,2262,2361,2293,2370,2447,2275,2259,2232,2310,2083,2302,2281,2425,2601,2073,2281,2187,2101,2173,2279,2058,2053,2241,2133,2129,2176,2067,1891,1947,1964,1904,1940,1724,1786,1710,1644,1573,1566,1424,1417,1308,1232,1245,1126,946,1044,980,868,881,728,927,670,576,666,597,500,472,509,406,391,402,335,377,306,307,395,295,296,348,303,325]
[166,145,76,179,186,205,231,302,341,380,370,553,499,705,757,820,883,1000,1071,1284,1538,1290,1481,1661,1673,1714,1786,1852,2153,2013,2081,2210,2159,2308,2261,2177,2366,2329,2416,2503,2455,2545,2359,2650,2429,2419,2328,2420,2426,2581,2549,2526,2569,2579,2632,2466,2455,3028,2636,2550,2522,2671,2708,2612,2617,2552,2526,2704,2591,2645,2528,2676,2571,2465,2558,2460,2573,2557,2481,2531,2519,2513,2337,2553,2376,2398,2422,2383,2421,2398,2375,2505,2373,2376,2352,2639,2262,2204,2284,2305,2291,2253,2243,2210,2186,2166,2114,1993,2073,2123,1980,1910,1868,1802,1730,1600,1676,1530,1521,1380,1216,1306,1125,1039,1021,1007,862,842,774,689,723,695,654,651,455,499,539,449,534,458,380,331,351,330,307,288,338,349,276,244]
[98,151,92,211,216,239,240,326,297,430,348,523,574,657,787,935,998,1081,1167,1366,1428,1758,1573,2088,1872,1901,2100,2132,2394,2214,2439,2561,2397,2380,2450,2580,2611,2631,2510,2684,2735,2846,2632,2701,2585,2600,2640,2717,2650,2825,2685,2873,2946,2750,2720,2795,2843,2703,2785,2869,3461,3028,2793,2814,2870,3019,2741,2754,2790,2694,2731,2842,2664,2895,2737,2573,2592,2659,2665,2697,2644,2749,2737,2559,2568,2499,2394,2420,2622,2493,2693,2523,2573,2488,2485,2525,2426,2489,2906,2461,2284,2333,2364,2478,2317,2312,2302,2254,2189,2185,2142,2060,2037,1888,1840,1777,1669,1600,1593,1487,1479,1262,1160,1180,1115,1054,913,884,820,860,807,653,699,578,580,624,442,433,466,477,479,381,406,386,332,337,252,255,299,237]
[137,233,112,215,170,266,268,298,377,416,404,554,613,730,812,986,1245,1328,1568,1686,1779,1785,1838,2071,2016,2092,2679,2249,2474,2578,2667,2642,2806,2774,2770,2659,2644,2683,2902,2965,3112,3018,3019,2847,2983,2937,2873,2937,3051,2884,3074,3154,3039,3071,3006,2970,2953,3037,3270,3319,3165,3133,3221,3717,3308,2852,2884,3101,3020,3095,3131,3143,3071,2858,2851,2757,2857,2787,2901,2943,2945,2813,2740,2696,2690,2665,2649,2806,2817,2866,2946,2760,2981,2662,2548,2512,2438,2562,2748,2683,2553,3136,2531,2572,2507,2420,2417,2475,2365,2254,2195,2160,2099,2000,1989,1828,1807,1793,1635,1569,1297,1339,1228,1105,1059,1101,1047,853,911,809,839,808,641,587,597,590,499,523,525,517,466,452,468,296,343,285,310,258,311,226]
[200,207,139,162,190,220,271,276,397,379,588,545,756,745,884,1145,1239,1441,1554,1817,2054,2043,1980,2066,2231,2281,2304,2618,2658,3270,2975,2717,2879,3010,2834,2973,2833,2933,3006,3199,3144,3331,3006,3054,2936,2805,3021,3095,3161,3077,3148,3098,3140,3020,2906,3209,3055,3156,3352,3320,3448,3400,3384,3238,3252,3204,3720,3303,3059,3330,3227,3404,3254,3178,3086,2837,2950,2880,3158,3067,2970,3042,3001,2947,2834,2919,2736,2904,2904,3075,3056,2901,3112,2867,2758,2707,2760,2696,2851,2876,2784,2775,2664,2696,3120,2651,2566,2565,2543,2501,2504,2453,2353,2096,2016,1963,1917,1720,1524,1529,1451,1416,1278,1343,1250,1094,976,930,918,856,826,775,764,700,656,679,579,546,545,409,430,537,414,357,347,388,313,268,258,227]
[100,154,156,158,243,187,261,363,375,435,524,603,733,816,866,1053,1322,1573,1832,2213,2350,2361,2519,2432,2502,2580,2545,2697,2886,3260,3174,3257,3893,3356,3066,3067,3140,3204,3195,3523,3626,3811,3478,3352,3321,3372,3340,3330,3628,3643,3538,3653,3722,3372,3507,3424,3432,3412,3462,3929,3802,3642,3765,3610,3538,3206,3443,3454,3494,4287,3628,3703,3503,3417,3292,3277,3154,3162,3283,3273,3473,3118,3278,3196,3172,3023,2981,3087,3330,3381,3327,3038,3166,3155,2864,3015,2967,2928,3142,3025,3062,3106,2924,2846,2832,2777,3293,2610,2860,2890,2987,2649,2602,2320,2257,1946,1931,1848,1780,1727,1529,1435,1391,1190,1279,1195,1051,1095,1010,900,835,711,769,729,672,550,548,528,565,515,471,473,398,403,447,398,321,292,270,323]
[230,172,209,145,239,218,239,353,361,438,472,560,697,921,952,1283,1546,1990,2249,2597,2898,3100,3358,2865,3052,2973,3054,3212,3363,3807,3677,4035,3751,3540,4212,3394,3324,3667,3927,3964,4347,4271,3962,3806,3738,3449,3595,3731,3947,4238,4467,4272,3833,3853,3726,3520,3682,3958,4097,4234,4395,4352,4304,3930,3650,3623,3664,3649,3922,4306,4489,5035,3932,3768,3514,3480,3234,3372,3466,3921,3893,3864,3489,3352,3420,3308,3352,3480,3512,3778,4027,3666,3417,3332,3311,3077,3286,3261,3310,3469,3671,3488,3339,3171,3078,3027,3192,3000,3916,3176,3277,3079,2691,2632,2399,2085,1908,1927,1766,1667,1621,1631,1491,1396,1246,1188,1086,1007,938,917,948,781,752,720,659,545,586,549,527,590,495,511,395,401,374,446,236,341,331,251]
[132,198,201,272,317,258,327,314,372,493,524,728,767,912,1135,1415,1668,2162,2593,3210,3586,3720,3764,3458,3077,3138,3165,3359,3694,4374,4722,4456,4358,4105,3619,3616,3476,4468,4409,4723,4976,4685,4592,4101,3717,3759,3680,3905,4385,4705,4678,4711,4283,4152,3788,3609,3858,3799,4425,5047,5266,4935,4576,4133,3925,3788,3574,3939,4099,4771,4763,4671,4311,3934,4608,3494,3343,3529,3801,4207,4377,3965,3956,3712,3522,3401,3307,3592,3812,4306,4332,4139,4040,3609,3330,3408,3315,3360,3577,3987,3886,3762,3699,3383,3207,3152,3169,3240,3491,3759,3720,4225,3287,2765,2501,2368,2081,2035,1863,1743,1621,1511,1466,1311,1274,1233,1129,1087,958,890,848,863,849,663,634,589,623,547,584,493,449,445,449,414,403,316,339,307,377,253]
[263,125,264,184,274,320,322,397,435,526,607,638,900,912,1267,1419,2092,2470,3412,3921,4347,4625,4589,4212,3511,3570,3460,3842,4422,4913,5347,5313,4980,4349,3893,3839,3849,4137,5051,6244,5306,5159,4932,4275,3958,3926,4086,4341,4719,5209,5341,5206,4819,4353,3889,3803,4025,4208,4863,5517,5516,5154,5113,4488,3950,3940,4061,4192,4584,5451,5478,4998,4664,4335,3701,3862,3815,4718,4195,4644,4694,4493,4047,3839,3505,3578,3814,4019,4346,4707,4779,4711,4221,3807,3597,3462,3536,3741,4100,4434,4345,3959,3849,3681,3428,3501,3670,3517,3797,4202,4044,3598,3516,3184,3143,2426,2289,2044,1929,1750,1555,1547,1489,1476,1420,1247,1035,1145,1026,960,850,812,695,687,661,629,557,542,504,512,453,479,407,445,318,373,319,351,241,329]
[220,213,268,251,288,365,359,336,478,558,573,673,750,1010,1162,1577,2146,2673,3745,4740,5623,6025,5538,4802,4228,4027,4221,4128,4884,5630,6109,6596,6143,4960,4255,4157,4366,4579,4940,6067,6257,6624,7033,4919,4200,4245,4342,4750,5179,5892,6433,6223,5738,4998,4430,4214,4413,4818,5442,6235,6654,6504,5855,5142,4415,4351,4439,4800,4938,6044,6268,5991,5626,4699,4402,4137,4136,4434,4541,5046,6613,5008,4816,4179,3924,3983,3987,4273,5057,5421,5561,5200,4891,4070,3872,3817,3964,3976,4452,5171,5199,4958,4498,3955,3727,3652,3783,4063,4396,4862,5022,4456,3963,3400,3012,2756,2487,2747,2024,1827,1717,1742,1517,1337,1337,1152,1119,1021,954,876,994,829,716,720,694,586,570,601,540,499,437,447,416,370,334,316,317,333,224,280]
[142,176,217,192,325,256,306,430,483,616,662,747,828,974,1184,1506,2221,2558,3817,4880,6582,6820,6270,5289,4444,4279,4160,4186,4978,5868,7191,7222,6690,5385,4616,4274,4516,4546,5506,6407,7352,7088,6229,5298,4564,4295,5404,4811,5464,6499,7069,6988,5835,5086,4763,4413,4560,4970,5677,6715,7374,7031,6252,5285,4599,4625,4780,4838,5400,6269,7261,6790,5930,5044,4370,4327,4276,4565,4665,5376,5935,5672,5254,5304,3916,4173,4187,4557,4908,6002,6252,5825,4949,4314,3921,3925,4075,4332,4611,5464,5787,5140,4596,4373,3855,3748,3961,4033,4533,5270,5578,4592,4055,3531,2960,2646,2689,2241,2212,1993,2146,1654,1536,1478,1291,1369,1169,1022,1088,929,958,791,761,654,658,698,532,545,470,476,532,439,401,406,306,399,371,272,279,271]
[211,180,196,240,296,303,399,465,495,548,686,907,912,1139,1272,1533,2024,2576,3212,4316,5580,6198,5662,4891,4116,3705,3866,3700,4577,5339,5993,6255,5848,5118,4531,4280,4103,4271,4851,5476,6559,6563,5959,5333,4738,4426,4224,4456,6300,5625,6595,6431,5639,5135,4771,4521,4478,4649,5257,6177,6625,6377,5873,5241,4605,4449,4440,4806,5326,5943,6737,6453,5650,4971,4545,4242,4261,4430,4492,5021,5576,5568,5167,4558,4254,3948,4974,4331,4583,5311,5614,5391,4757,4179,4078,3952,3623,4062,4149,4758,5286,5127,4769,4170,4011,3974,3734,4033,4135,4656,5098,4951,4185,3577,3336,2956,2597,2386,2184,1990,1689,1817,1625,1717,1286,1260,1138,1062,962,965,872,874,791,769,583,610,626,522,478,465,474,464,304,341,375,402,305,293,287,279]
[235,203,300,211,318,345,392,496,556,552,654,781,864,1096,1581,1597,2005,2202,2891,3641,4408,4563,4360,3971,3956,3526,3498,3751,4068,4671,5283,5011,4653,4679,4484,4100,3867,4138,4576,5022,5635,5635,5312,4683,4622,4334,4191,4297,4498,5109,5205,6494,5292,4714,4672,4433,4459,4416,4689,5137,5666,5784,5221,4677,4700,4353,4327,4572,4536,5127,5495,5315,5077,4791,4474,4141,4186,4070,4297,4633,4817,4962,4663,4462,4332,4049,4064,3978,5125,4675,5131,4663,4403,4259,4029,3884,3839,3915,3979,4380,4625,4699,4214,4116,3896,3832,3677,3683,3934,4250,4475,4293,3946,3787,3321,3070,2666,2328,2137,1987,1862,1793,1661,1518,1511,1370,1319,1120,982,967,957,797,826,741,642,618,591,577,560,535,461,435,403,390,343,378,241,291,274,260]
[228,249,245,234,261,424,342,445,458,557,727,741,868,1093,1271,1441,1759,2548,2317,3139,3892,4129,4057,3573,3538,3447,3397,3356,3742,4242,4723,4502,4691,4418,4185,3974,3769,3895,4210,4587,5123,5113,5057,4682,4614,4132,4196,4158,4236,4779,5407,5398,4921,4626,5377,4456,4395,4330,4533,4991,5412,5502,4828,4687,4487,4208,4179,4430,4559,4767,4998,5249,5010,4494,4493,4086,3951,4045,4323,4583,4901,5029,4655,4401,4288,4020,3819,3794,3988,4306,4492,5598,4384,4047,4124,3601,3570,3926,3968,4264,4546,4501,4102,3921,3823,3697,3553,3708,3866,4224,4236,4452,3833,3483,3519,3116,2740,2560,2125,2016,1741,1829,1580,1600,1324,1345,1225,1128,1066,1139,921,914,870,698,578,664,687,570,557,525,444,456,400,449,346,358,355,302,319,321]
[170,240,264,316,248,372,437,383,533,576,713,826,793,1117,1270,1549,1893,2077,2177,2658,4183,3597,3526,3087,3275,3383,3338,3245,3498,3849,4328,4098,4200,4122,4036,4056,3938,3874,4028,4233,4710,4821,4563,4220,4344,4336,4279,4016,3926,4544,4633,4836,4631,4314,4225,4334,4257,4966,4187,4790,5009,5107,4805,4369,4347,4270,4276,4152,4381,4686,4954,5038,4660,4243,4266,4172,3878,3807,3877,4233,4602,4703,4428,4168,4266,4096,3806,3773,3769,3863,4319,4755,4385,4001,3853,4563,3874,3875,3845,3913,4393,4200,3983,3915,4051,3677,3700,3626,3677,3794,4088,3996,3763,3455,3315,3102,2663,2377,2311,2159,1855,1756,1695,1508,1513,1375,1371,1259,1159,1068,900,866,1001,827,709,620,681,650,533,506,462,388,437,406,382,295,319,307,348,228]
[164,260,319,322,291,322,423,390,467,592,739,859,1060,1234,1265,1514,1794,2018,2374,2829,3092,3550,3384,3665,3083,3402,3527,3458,3395,3745,4043,4006,3834,3809,3998,3931,4104,3968,3996,4184,4720,4801,4408,4222,4324,4287,4271,3926,4131,4255,4888,4748,4362,4242,4357,4397,4318,4118,4470,4426,4682,5743,4590,4289,4348,4506,4358,4292,4297,4635,4789,4998,4507,4299,4270,4470,4126,3839,3983,4385,4553,4564,4444,4095,4077,4070,3969,3705,3858,4160,4383,4292,4174,4272,4104,3935,3991,3847,4670,4159,4510,4142,4219,3726,3976,3618,3479,3558,3602,3945,4032,3895,3412,3243,3109,2870,2759,2468,2359,2092,1937,1808,1623,1714,1502,1450,1303,1232,1036,1060,914,1057,845,856,769,807,662,535,529,558,436,472,424,475,427,283,318,255,318,240]
[279,239,317,281,367,349,427,472,492,680,699,975,895,1209,1346,1504,1983,2274,2719,2731,3398,3584,3447,3138,3367,3464,4057,3535,3703,3856,4272,4152,4054,3832,4114,4087,4078,4083,4280,4766,5019,4886,4620,4279,4006,4219,4420,4328,4236,4867,4923,4931,4560,4501,4323,4320,4266,4433,4532,4906,5141,5027,4959,4443,5264,4789,4584,4425,4472,4747,4853,4970,4492,4344,4483,4506,4250,4196,4362,4462,4719,4609,4250,4185,4184,4151,3963,3975,4313,4347,4501,4321,4268,4187,3896,4196,3921,3990,4183,4346,4426,5405,3981,4041,3871,3842,3810,3680,3835,4122,4072,3786,3487,3294,3172,2918,2578,2507,2306,2144,2029,1821,1794,1744,1534,1447,1353,1145,1169,1030,1027,847,817,794,772,664,614,605,734,457,453,437,387,402,361,402,407,277,278,221]
[190,287,233,384,271,289,382,551,592,637,789,902,1023,1235,1425,1741,2064,2394,3030,3613,4019,4089,3754,3629,3564,3590,3596,3602,3849,5529,4563,4441,4429,3939,3925,4151,4073,4260,4614,5074,5132,5064,4925,4498,4256,4249,4009,4434,4912,5110,5443,5261,4707,4480,4284,4284,4469,4544,5043,5370,5342,5283,4995,4432,4365,4323,4221,5399,4772,5165,5575,5026,4873,4357,4281,4448,4146,4171,4593,4928,4912,4852,4656,4411,4264,3897,4085,4212,4605,4686,4608,4534,4232,4250,4011,3840,4066,4207,4574,4853,4818,4704,4353,4121,4826,3937,3911,4091,4257,4282,4258,4053,3734,3445,3188,2957,2775,2571,2265,2235,1975,1848,1759,1722,1505,1387,1414,1296,1106,1089,1042,933,835,773,694,708,575,583,552,560,493,546,427,423,393,357,352,361,292,291]
[263,225,335,298,368,450,446,509,571,626,746,903,947,1234,1431,1733,2257,2869,3530,4275,4677,4849,4416,4037,3624,3741,3736,3901,4342,4910,4969,4639,5485,4386,4199,4200,4393,4599,4921,5491,5562,5418,5277,5005,4337,4393,4513,4672,5034,5584,5955,5621,5185,5016,4575,4509,4661,4953,4986,5580,5736,5659,5323,4655,4614,4307,4487,4752,5132,6718,5889,5427,5173,4629,4309,4380,4352,4688,4849,5259,5108,5231,4908,4511,4309,4284,4261,4550,4802,5015,5230,4797,4592,4247,4257,4110,4326,4517,4703,5302,5298,5003,4648,4314,4047,4173,4088,5121,4334,4611,4683,4467,3966,3529,3175,2936,2777,2508,2313,2115,2156,1784,1731,1705,1553,1521,1400,1188,1159,1040,1031,943,854,894,824,642,668,572,603,543,468,457,417,387,432,307,289,286,300,290]
[190,196,283,276,337,406,494,438,542,643,714,859,1017,1307,1322,1714,2240,2803,3669,4963,6120,6612,5968,5595,4270,4125,4198,4108,4601,5448,5812,5898,5558,4920,4584,5298,4566,4733,5237,5918,6541,6409,5547,5065,4636,4568,4587,5015,5432,5784,6484,6298,5636,5220,4677,4662,4923,5415,5701,6108,6741,6712,5924,5177,4812,4694,4658,5014,5569,6144,6778,6522,7315,5047,4782,4615,4573,4693,5016,5537,6208,6074,5389,4890,4628,4252,4690,4707,4836,5716,5960,5763,4975,4593,4405,4365,4591,4619,5213,5644,5873,5548,5213,4555,4373,4108,4609,4722,4673,5552,6325,4678,4313,3709,3439,3003,2826,2589,2257,2163,2089,1976,1834,1655,1473,1429,1392,1188,1240,1039,1047,975,892,815,764,711,730,597,558,449,525,425,490,440,433,389,348,371,255,214]
[213,381,290,239,312,390,487,571,604,718,760,939,1093,1341,1519,1877,2410,2886,3751,5069,6614,7004,6126,5453,4242,4013,4232,4187,4664,5469,6292,6411,5797,5248,4505,4280,4181,4602,6258,6227,6829,6873,6025,5341,4671,4593,4604,4795,5328,6712,7126,6996,6145,5271,4787,4781,4636,5187,5893,6841,7101,6917,6135,5266,4918,4513,4673,4994,5659,6642,7094,6836,6032,5172,4464,5389,4633,4641,4920,6002,6218,6206,5742,4803,4593,4435,4544,4569,4840,5878,6201,5649,4982,4845,4468,4419,4561,4776,5391,6175,6536,6071,5155,4624,4318,4330,4395,4557,5162,5756,6069,5083,4462,4600,3443,3201,2753,2630,2470,2295,2147,2024,1837,1639,1534,1432,1281,1143,1186,1104,918,935,754,830,751,724,639,660,536,601,496,416,391,425,391,415,335,397,270,291]
[299,271,343,353,393,478,455,550,535,710,820,948,1111,1380,1510,1798,2406,2863,3710,4713,5951,6137,5469,4643,4240,3954,3874,4217,4447,5482,5756,6101,5613,5065,4587,4314,4379,4370,5067,5771,6216,7356,5692,5111,4703,4421,4609,4717,5030,5719,5954,5839,5724,5143,4850,4713,4501,4950,5241,5662,6034,6198,5682,5109,4863,4640,4803,4941,5351,6218,6651,6244,5549,5047,4469,4491,4556,4613,5621,6351,6222,5477,4826,4792,4329,4237,4245,4445,5217,5401,5721,5380,4916,4735,4410,4262,4399,4607,5091,5568,5893,5514,4881,4650,4402,4262,4216,4284,4764,5244,5336,4953,4432,3991,3645,3310,3530,2759,2316,2286,2060,1944,1867,1716,1561,1354,1284,1194,1100,1080,957,857,872,731,785,613,547,553,618,583,471,467,409,373,302,406,323,316,253,277]
[194,323,223,330,357,371,458,598,574,614,793,957,1091,1252,1581,1778,2120,2259,2899,3730,4417,4293,4217,3960,3799,3812,3623,3866,3979,4505,4834,4582,4668,4503,4577,4464,4121,4392,4745,4939,5087,5370,4871,4959,5667,4258,4458,4502,4492,5034,5203,5358,5177,4855,4802,4453,4640,4710,4986,5241,5650,5328,5195,4894,4908,4519,4495,4762,4852,5168,5382,5318,5247,4995,4787,4395,4492,4543,4756,5013,5265,6308,5034,4619,4316,4219,4220,4348,4625,5002,5041,4965,4689,4629,4380,4218,4321,4440,4545,4906,4910,5044,4705,4619,4414,4299,4027,4160,4145,4519,4791,4310,3985,3920,3703,3225,2901,2579,2817,2345,2145,1912,1711,1646,1620,1387,1346,1250,1115,988,1109,910,835,816,743,696,640,577,532,518,481,436,489,406,400,335,331,356,234,245]
[227,249,313,398,362,486,491,534,586,834,827,912,1149,1303,1592,1845,2047,2375,2603,3215,3705,3900,3855,3607,3518,3708,3342,3544,3684,4169,4200,4398,4370,4436,4149,4130,3941,4069,4425,4755,5176,4982,4960,4725,4458,4613,4233,5016,4600,4967,5112,5198,4969,4722,4814,4678,4526,4590,4716,4995,5317,5345,4826,4688,4633,4568,4438,4558,4781,4988,5324,4890,4908,4772,4432,4492,4452,4311,4479,5059,5334,5142,4818,4556,5371,4423,4187,4423,4406,5045,4875,5143,4676,4385,4313,4360,4184,4634,4291,4561,5011,4948,4496,4402,4468,4115,4084,3956,4345,4334,4690,4292,3855,3875,3671,3180,2933,2709,2402,2422,2152,2155,2116,1766,1513,1418,1323,1182,1189,1139,1013,984,878,762,757,642,663,571,510,579,489,459,543,379,394,329,313,344,272,311]
[286,268,301,305,410,451,415,526,578,760,850,979,1263,1323,1457,1823,2064,2319,2346,2782,3492,3552,3315,3073,3139,3207,3604,3553,3612,3854,4138,4076,4205,4037,3881,4286,4098,3937,3926,4462,4806,5040,4560,4305,4093,4418,4482,4182,4294,4551,5763,4939,4464,4309,4615,4604,4752,4362,4428,4824,5256,4968,4735,4667,4569,4530,4420,4360,4497,4934,4959,5013,4551,4358,4653,4648,4399,4344,4404,4762,4895,4729,4613,4458,4465,4182,4425,5086,4307,4515,4957,4579,4312,4208,4464,4279,4014,4156,4133,4530,4802,4752,4235,4227,4196,4187,4162,3902,4050,4361,4266,3894,3685,3530,3380,3239,2898,2816,2349,2193,2093,1963,1801,1697,1969,1386,1287,1358,1125,1031,1047,974,772,792,753,731,619,615,601,567,529,421,487,408,328,364,361,296,308,302]
[280,230,324,285,336,451,494,559,527,665,812,934,1021,1274,1405,1707,2445,2090,2486,2914,3238,3409,3110,2854,2987,3214,3303,3342,3586,3689,4015,3912,3808,3733,3938,3872,4110,4012,4208,4299,4590,4589,4430,4257,4299,4470,4396,4298,4177,4566,4702,4650,4457,4966,4399,4690,4505,4320,4537,4674,4903,4777,4623,4526,4576,4608,4510,4292,4317,4782,5027,4629,4534,4435,4365,4499,4284,4093,4161,4560,4627,4570,4434,4341,4418,4450,4185,4190,4267,4302,5465,4402,4431,4196,4335,4358,4077,3984,4195,4555,4681,4378,4264,4071,4225,4198,4144,3621,3923,4162,4263,4139,3567,3587,3440,3118,3074,2687,2308,2335,2166,2026,1845,1796,1682,1484,1435,1406,1375,1168,1007,917,883,764,714,740,675,610,677,493,496,467,528,445,433,335,298,355,268,362]
[200,237,273,359,381,433,410,500,622,708,780,871,1138,1215,1534,1896,2113,2282,2537,3674,3348,3362,3128,3138,3126,3436,3498,3522,3813,3875,4234,4247,3885,4071,4022,3903,3985,4294,4212,4422,4507,4623,4515,4273,4308,4198,4391,4412,4460,4660,4880,4883,4649,4258,4352,4610,5437,4553,4698,4932,5003,4810,4787,4599,4387,4479,4396,4641,4610,4926,4904,4964,4607,4454,4365,4437,4528,4298,4523,4628,4614,4659,4468,4367,4288,4586,4224,4541,4443,4545,4524,4769,4685,5194,4353,4466,4057,4230,4248,4614,4602,4959,4388,4318,4253,4102,4214,4154,4091,4418,4321,3903,3737,3592,3327,3292,2955,2731,2505,2254,2212,1950,2026,1755,1633,1652,1534,1361,1243,1081,1218,1064,943,861,805,744,693,627,569,635,484,524,522,369,388,371,294,325,274,336]
[291,200,339,263,398,466,464,596,701,760,885,1057,1217,1383,1596,1778,2280,2611,2966,3476,4044,4153,4423,3307,3309,3543,3608,3746,4169,4595,4643,4342,4352,4308,4125,4044,4140,4140,4589,4805,5093,4911,4803,4466,4391,4256,4374,4460,4732,5051,5139,4947,5015,4575,4713,4585,4798,4662,4953,6356,5389,5246,4824,4842,4516,4520,4635,4669,5024,5427,5225,5216,4869,4703,4590,4610,4495,4541,4805,5181,5130,4754,4834,4329,4329,4361,4316,4406,4673,5103,5200,4867,4829,4509,4282,4310,5206,4579,4596,5350,4950,4750,4750,4535,4292,4364,4327,4339,4576,4758,4413,4363,3894,3776,3625,3214,2904,2743,2592,2364,2267,1929,1990,1848,1740,1652,1340,1329,1238,1157,1128,912,997,804,863,732,730,595,573,634,514,485,482,471,408,342,363,359,330,217]
[250,295,273,257,322,368,393,541,589,754,878,904,1111,1393,1577,1848,2478,2772,3309,4214,4635,4820,4636,4164,3852,4508,3742,4227,4486,5080,4777,4764,4796,4520,4558,4328,4253,4673,4789,5248,5352,5363,4939,4581,4545,4403,4367,4807,5143,5262,5512,5465,5171,5077,4659,4716,4810,4988,5205,5680,5614,5614,6516,5100,4909,4661,4846,4887,5322,5709,5807,5485,5365,4950,4633,4589,4726,4644,4979,5523,5511,4955,4943,4817,4557,4678,4900,4760,4879,5357,5278,5347,4962,4761,4662,4610,4724,4946,4831,6392,5374,4989,4837,4829,4492,4425,4795,4778,4917,5109,5204,4766,4281,4107,3574,3375,3153,2871,2578,2427,2226,2278,2060,1707,1805,1516,1563,1443,1196,1174,1150,995,892,821,783,788,635,732,550,660,496,459,430,465,389,340,296,268,325,332]
[327,235,348,383,409,388,522,510,705,792,857,969,1204,1381,1654,1923,2360,2987,3703,4968,5709,5825,5423,4888,4086,4047,4060,5313,4877,5406,5830,5630,5317,5172,4906,4639,4608,4918,5168,5767,6084,5862,5370,4779,4761,4624,4735,4957,5385,6097,6336,5951,5699,5002,5152,4964,4964,5189,5881,6399,6487,6497,6040,5219,4820,5901,5215,5353,5886,6363,6485,6358,5525,4946,4817,4549,4911,4944,5330,5926,5891,5632,5383,4845,4715,4794,4818,5230,5247,6112,6058,5777,5376,5086,4846,4926,4829,5204,5388,5831,6005,5628,6554,4802,4571,4576,4730,4929,5342,5955,5776,5180,4569,3902,3909,3381,3181,2876,2650,2394,2402,2184,2129,1725,1643,1546,1609,1527,1309,1177,1086,1049,933,826,736,781,731,553,549,713,517,466,456,394,357,371,378,302,380,267]
[272,247,292,302,464,417,412,520,670,702,901,1019,1252,1420,1539,1877,2267,2813,3576,4879,6088,6618,6004,5259,4381,3932,4072,4326,4759,5487,6283,7620,5907,5243,4911,4529,4501,4582,5199,5607,6345,6525,5934,5083,4661,4398,4571,4840,5214,6144,6600,6507,5915,5363,4786,4719,4933,5121,5536,6591,6999,6925,6176,5310,4936,4762,4799,4915,6820,6716,6910,6804,5960,5031,4851,4583,4785,4994,5294,6107,6464,6038,5581,5132,4727,4772,4629,4687,5504,6309,6465,6259,5740,4913,4664,4776,4625,5131,5482,6052,6644,6176,5829,5055,4441,5390,4605,4909,5659,6479,6474,5594,4807,4333,3828,3286,3145,2827,2623,2478,2257,2281,1957,1819,1709,1642,1440,1370,1323,1168,993,922,1027,885,797,737,739,634,694,558,558,537,476,438,435,399,273,321,326,336]
[243,291,314,383,394,475,455,526,636,763,814,1035,1157,1314,1522,1716,2251,2719,3571,4160,5153,5546,5294,4486,4145,3828,3837,4103,4490,4945,5065,5425,5351,6105,4537,4310,4360,4420,4730,5029,5569,5431,5379,4962,4739,4615,4383,4695,4984,5433,5878,5836,5476,5147,4785,4611,4634,4880,5382,5706,5976,6147,5812,5266,4930,4613,4577,4730,5127,5584,6321,7170,5620,5156,4648,4430,4298,4739,5029,5428,5450,5719,5023,5025,4722,4438,4568,4805,5004,5549,5876,5660,5274,4838,4608,4505,4467,4719,5007,5406,5787,5561,5351,4850,4530,4231,4306,4789,6039,5613,5603,5150,4769,4304,3824,3418,3252,2934,2726,2476,2285,2147,2063,1821,1695,1493,1403,1267,1181,1185,979,925,931,830,747,705,702,634,659,576,476,441,491,384,410,490,374,372,236,264]
[263,288,304,395,416,412,490,561,664,710,976,915,1247,1375,1624,1765,2070,2485,2862,3491,3936,4273,4274,3897,3916,3857,3656,3900,4069,4413,4561,4951,4687,4607,4533,4356,4300,5248,4554,4715,4677,4869,4914,4845,4565,4405,4456,4549,4602,5093,5430,5150,5074,4758,4814,4564,4580,4638,4786,5108,5366,5254,5170,5155,4743,4674,4693,4731,4954,5107,5467,5271,5178,4998,5730,4496,4389,4458,4725,4716,4749,4930,5081,4849,4687,4389,4543,4533,4607,4931,5040,5255,4916,4747,4637,4511,4189,4620,4897,4939,5176,5011,4706,4682,4494,4250,4146,4298,4470,4710,4856,5489,4211,4099,3696,3681,3168,2928,2506,2512,2449,2014,2060,1922,1599,1620,1460,1254,1218,1213,1089,970,872,877,821,743,609,606,564,554,553,443,465,412,449,427,373,352,341,256]
[321,294,372,300,372,402,539,505,606,750,813,1088,1177,1366,1633,2008,2131,2210,2690,3250,3577,3759,3743,3474,3717,3503,3763,3687,3900,4044,4540,4491,4399,4102,4300,4131,4114,4057,4366,5447,4937,4682,4646,4578,4462,4309,4336,4387,4535,4741,5184,5056,4829,4770,4776,4459,4739,4645,4871,5301,5262,4960,4906,4759,4616,4745,4516,4743,4991,4971,5398,5323,4846,4613,4872,4551,4316,5464,4515,4661,4988,4887,4684,4655,4619,4524,4386,4374,4613,4602,5219,4926,4608,4555,4599,4511,4225,4531,4732,4757,5167,5013,4659,4347,4569,4385,4266,4279,4318,4629,4546,4180,3723,3783,4547,3374,3008,2750,2516,2390,2212,2044,1906,1727,1784,1299,1332,1269,1184,1204,1134,908,901,797,807,833,756,625,679,594,447,506,452,406,431,336,351,346,368,286]
[336,313,324,342,385,587,516,504,615,741,930,957,1174,1394,1567,1890,2111,2292,2405,3020,3410,3637,3044,3135,3402,3405,3478,3520,3566,3758,4223,4097,4181,3958,4177,4030,4174,3809,4136,4276,4643,4656,5215,4509,4472,4520,4194,4311,4464,4432,5064,4738,4480,4516,4793,4571,4622,4481,4805,4745,5075,4983,4759,4565,4829,4781,4469,4474,4756,4836,5103,4782,4684,4569,4855,4630,4632,4099,4480,4487,5877,4638,4531,4588,4510,4717,4281,4418,4417,4514,4657,4596,4478,4392,4533,4568,4332,4304,4253,4750,4867,4559,4549,4487,4398,4401,4236,4002,4137,4395,4654,4332,3969,3853,3603,3336,3110,3414,2573,2414,2238,2231,1954,1860,1747,1554,1392,1229,1261,1082,979,1022,947,842,882,835,699,660,656,572,518,490,470,438,389,339,324,355,324,243]
[289,340,331,317,378,431,472,516,797,865,1001,960,1238,1380,1615,1886,2123,2262,2536,3005,3506,3447,3074,2816,3300,3600,3631,3503,3690,3894,3987,4017,3943,3771,3836,4264,4254,4054,4093,4354,4564,4560,4522,4267,4415,5326,4560,4489,4449,4627,4921,4960,4446,4358,4468,4758,4590,4510,4588,4790,4784,4732,4681,4565,4833,4791,4610,4520,4467,4700,4748,4855,4582,4491,4602,4886,4601,4375,4401,4647,4683,4637,4569,5359,4814,4279,4513,4524,4467,4702,4684,4620,4586,4421,4705,4448,4432,4365,4572,4926,4754,4651,4510,4416,4409,4346,4470,4102,4175,4556,4411,4186,3831,3749,3737,3368,3233,2864,2765,2547,2675,2208,2081,1882,1781,1578,1532,1257,1360,1170,1186,1055,852,796,791,811,631,653,535,605,468,548,574,421,395,352,255,317,358,298]
[302,341,340,320,452,492,558,540,558,692,789,1123,1139,1425,1542,1829,2271,2517,2798,3115,3472,3548,3663,3327,3147,3500,3708,3698,3766,4160,4273,4200,4130,4007,4091,4225,4215,4277,4383,4657,4615,4836,4193,4404,4263,4636,4446,4527,4717,5705,4866,4828,4700,4610,4452,4607,4682,4808,4872,5086,5182,5111,4728,4798,4580,4553,4785,4661,4991,5108,5193,5175,4594,4496,4653,4675,4458,4396,4807,4771,4871,5073,4690,4535,4501,4523,5611,4816,4811,4888,4990,4883,4741,4418,4528,4595,4567,4336,4767,5103,4958,4851,4536,4556,4327,4294,4485,4336,4571,4527,4474,4234,4018,3953,3764,3485,3092,2858,2752,2578,2354,2228,2217,2235,1664,1712,1474,1372,1228,1218,1085,984,885,902,832,785,715,643,606,510,618,454,515,512,377,367,362,340,325,307]
[311,378,367,453,425,474,572,589,659,813,930,1093,1199,1353,1891,2095,2373,2764,3228,3879,4264,4131,3884,3544,3539,3653,3841,3863,4316,4557,4662,4840,4476,4304,4306,4470,4206,4333,4563,4987,5303,4884,4650,4641,4715,4845,4352,4659,4957,5403,5376,6089,5203,4703,4805,4911,4842,4769,5232,5387,5521,5307,5349,5003,4802,4853,4638,5090,5187,5480,5467,5312,5411,5073,4743,4756,4737,4621,5127,5324,5214,5422,5165,4607,4516,4737,4804,4757,4981,6290,5435,5427,4877,4965,4709,4649,4739,5028,5044,5273,5212,5010,4934,4768,4388,4694,4312,4699,5031,5004,5032,4793,4372,3919,3875,3618,3531,3023,2708,2685,2500,2298,2210,2029,1951,1787,1883,1529,1282,1220,1199,1122,1043,815,878,775,699,620,535,612,547,503,528,482,363,458,361,281,358,290]
[340,290,364,409,374,461,559,578,730,821,873,1054,1254,1381,1806,1974,2453,3567,3808,4256,4901,5083,4670,3902,3922,4029,4118,4325,4949,5252,5465,5572,4870,4800,4688,4555,4757,4647,5118,5523,5661,5514,5313,5008,4726,4815,4913,5415,5516,5939,5981,5694,5553,6395,5062,4892,5446,5612,5936,6318,6221,5958,5551,5366,5004,5294,5264,5375,5691,5969,5865,5661,5371,5195,5007,5000,5067,5196,5603,5744,6070,5664,5486,5161,4881,4995,5358,5018,5536,5930,5994,6916,5482,5032,4861,4988,5219,5286,5415,5732,5616,5788,5234,5119,4898,4886,4907,4834,5287,5577,5662,4937,4751,4249,3975,3625,3412,3102,2803,2522,2532,2331,2207,2115,1840,1735,1640,1346,1580,1202,1187,1027,839,969,798,844,652,662,730,551,489,503,519,416,441,328,317,289,310,285]
[301,329,350,347,428,470,548,633,682,890,826,997,1236,1386,1613,2011,2610,3263,4095,6190,5940,6108,5341,4570,4107,4074,4334,4617,5271,5885,6368,6247,5517,4972,4842,4634,4652,4964,5325,6274,6574,6185,6079,5203,4953,4770,5005,5199,5798,6651,6814,6436,5834,5480,5111,5378,6411,5606,6159,6741,6899,6752,6073,5723,5106,5270,5178,5472,6117,6656,6690,6341,5761,5463,5066,5057,5081,5254,5897,6577,6328,6095,5769,5163,5148,5046,5314,5377,5666,6417,6581,5901,5902,5215,6204,5341,5320,5569,6201,6565,6373,6167,5507,5232,4995,4841,5221,5101,5707,6398,6082,5842,5167,4538,4098,3548,3468,3207,2934,2579,2454,2510,2299,2118,1927,1663,1545,1369,1394,1303,1147,1263,928,832,826,739,663,668,550,681,509,466,547,410,337,416,377,285,335,287]
[207,333,311,362,350,523,505,525,693,788,863,1072,1099,1402,1546,2074,2331,2895,3614,4721,6021,6205,7046,4662,4184,4129,4293,4470,5260,5615,6866,6429,5914,5326,4977,4596,4628,4720,5567,5898,6464,6414,6041,5484,5116,4794,4803,5093,5708,6653,7006,7113,6070,5638,5299,4987,4903,5231,5993,7941,7023,6930,6173,5555,4999,4997,4996,5067,5790,6534,6740,6412,5763,5398,4837,4789,4889,4982,5609,6330,6797,6473,5983,5298,5027,4849,5062,5252,5648,6481,6698,6581,6101,5224,5091,5030,4828,6330,6262,6358,6613,6043,5910,5156,5090,4778,4921,4870,5921,6332,6238,5676,5341,4399,4130,3816,3518,3205,2909,2667,2463,2373,2244,1801,1836,1659,1514,1344,1334,1193,1175,1110,968,856,1025,711,724,713,561,656,503,573,397,395,426,400,406,349,328,275]
[316,257,339,356,411,474,536,548,681,678,988,999,1208,1458,1542,1823,2185,2469,3074,3964,4376,5227,5123,4569,4178,4513,3841,4002,4197,5031,5317,5427,5387,5028,4746,4473,4358,4462,4823,5291,5729,5809,5478,5047,4977,4339,4592,4775,5440,5954,6105,5854,5715,5389,5076,4768,4618,5157,5349,5974,6427,6165,6936,5075,5077,4860,4734,4995,5246,5565,5677,5648,5433,5075,4855,4535,4559,4881,5144,5555,5700,5796,5239,5042,4875,4539,4665,5000,5187,5639,5568,5730,5567,5183,4939,4630,4824,5078,5362,5754,6922,5879,5186,4850,4774,4544,4491,4935,5261,5628,5746,5312,4785,4230,3892,3529,3195,2919,2828,2473,2396,2311,2163,1852,1940,1600,1579,1382,1357,1283,1133,948,932,909,772,691,756,866,604,634,438,490,474,386,508,373,353,264,261,225]
[266,301,293,352,407,457,543,668,644,795,938,1031,1190,1467,1562,1862,2091,2404,2757,3343,3794,4125,4150,4014,3793,3803,3510,3671,5179,4179,4654,4742,4649,4510,4589,4585,4303,4287,4606,4872,4950,5103,4883,4928,4904,4585,4483,4745,4932,5151,5397,5517,5169,5117,4806,4831,4549,4768,5185,5368,5535,5332,5342,5091,4831,5757,4598,4817,5017,5268,5506,5466,5224,4876,4986,4640,4649,4842,4856,5283,5196,5221,5185,4947,4810,4497,4445,4737,4860,4994,5267,5231,4992,4942,4924,4770,4511,4824,4875,5157,5329,5136,5266,5640,4533,4339,4564,4509,4605,4880,4795,4570,4348,4073,4036,3632,3432,3155,2712,2526,2370,2165,2075,1886,1885,1600,1511,1417,1295,1262,1120,1101,978,895,785,730,648,659,568,532,692,450,421,447,354,388,371,320,290,260]
[334,294,304,340,459,517,405,571,652,758,967,993,1184,1472,1690,1852,2147,2419,2586,2943,3540,3874,3859,3635,3690,3699,3597,3646,3877,4056,4408,5510,4334,4276,4197,4336,4143,4203,4544,4746,4898,4875,4879,4864,4549,4559,4413,4371,4791,5189,5207,5046,5164,4884,4970,4804,4834,4829,5075,5247,5469,5295,5112,5102,5010,4946,4719,4632,6126,5206,5477,5439,5129,5143,4795,4726,4658,4928,4709,5182,5393,5186,4969,4959,4769,4656,4597,4525,4800,5141,5299,5224,4944,4905,4863,4903,4592,4492,4842,5037,5241,5076,4841,4649,4703,4559,5458,4386,4554,4761,4783,4645,4152,4209,3920,3686,3455,2921,2888,2569,2489,2125,2179,1998,1698,1785,1524,1438,1267,1264,1044,1025,1047,859,864,832,722,698,624,583,549,518,509,562,402,389,317,299,287,236]
[229,303,337,445,454,482,573,592,621,839,959,1038,1249,1379,1669,1813,2097,2423,2575,2760,3360,3656,3390,3208,3274,3633,3592,3710,3540,4042,4417,4219,4085,3988,4947,4114,4201,4135,4242,4533,4804,4648,4469,4468,4681,4687,4629,4392,4752,4772,5174,5093,4788,4667,4768,4826,4640,4708,4569,4812,5045,5194,5087,4707,5030,4870,4704,4583,4959,5057,4933,6226,4725,4802,4717,4841,4671,4874,4773,5082,5072,5195,4935,4720,4581,4851,4627,4474,4672,4786,5037,4920,4996,4740,4731,4756,4777,4689,4685,4793,5132,5060,4700,4695,4668,4520,4409,4313,5214,4476,4792,4649,4183,3944,3978,3567,3230,3094,2888,2563,2613,2286,2158,1967,1871,1737,1710,1456,1384,1219,1195,1097,903,923,751,819,735,685,632,569,526,561,432,475,363,404,369,335,266,274]
[349,376,278,383,378,393,499,628,770,718,910,1034,1189,1468,1574,2012,2263,2423,2661,3011,3223,3646,3277,3173,3259,3628,3751,3701,3695,3766,4169,4075,4184,3866,3992,4158,4415,4776,4092,4528,4490,4599,4539,4141,4621,4735,4886,4486,4534,4894,5123,4977,4617,4770,4786,5005,5022,4767,4931,5000,5080,5136,4985,4873,4576,5030,5047,4623,4789,4737,5127,5035,4984,4660,5786,4893,4879,4475,4639,4769,4878,5124,4809,4726,4606,4645,4706,4715,4700,4837,4965,5097,4813,4811,4675,5030,4756,4660,4737,5005,5030,4856,4869,4476,4686,4572,4673,4388,4358,4381,4607,4555,5021,4111,3962,3727,3275,3164,2934,2558,2408,2387,2152,1977,1835,1713,1568,1538,1379,1144,1126,1016,1119,891,819,829,754,763,680,593,591,471,555,433,409,427,304,348,332,327]
[346,283,329,451,453,510,543,625,766,860,994,1070,1261,1507,1806,2127,2343,2532,3201,3356,3817,3718,3486,3540,3674,3818,3860,3915,3939,4233,4214,4321,4069,4207,4197,4202,4451,4643,4583,4754,5608,4770,4707,4489,4374,4551,4755,4813,4933,5303,5290,5210,4820,4629,4930,4924,4990,4931,4913,5123,5478,5179,5004,4809,4724,5020,4770,5029,4937,5197,5347,5310,4841,4821,4745,4820,4904,5911,4949,5215,5243,5221,4848,4811,4716,4850,4765,4909,4987,5139,5250,5271,4991,4759,4665,4807,4898,4991,5209,5304,5475,5088,4978,4808,4704,4810,4528,4531,4599,4820,4966,4378,4223,3880,3908,4431,3300,2966,2705,2709,2470,2262,2214,1903,1774,1785,1485,1320,1318,1201,1238,1112,1029,960,764,861,684,668,679,621,468,577,497,453,412,354,387,374,343,236]
[283,383,323,359,402,471,672,621,683,856,936,1129,1265,1425,1845,2157,2496,2916,3417,4012,4405,4289,4264,3903,3718,3736,3931,4139,4288,4674,4790,4659,4416,4430,4241,4291,4557,4615,4905,5028,5234,4994,4985,5756,4633,4847,4802,4757,5279,5660,5518,5499,5243,4970,4794,4912,5186,5204,5358,5639,5655,5440,5041,5225,4882,4831,4998,5069,5336,5456,5540,5408,5249,5128,4907,4870,4808,5059,5347,5373,6673,5445,5271,5020,4827,4973,4852,5116,5267,5672,5603,5756,5265,4917,4701,4985,5054,5237,5562,5641,5600,5260,5043,5009,4872,4684,4753,4850,4956,5057,4944,4859,4446,4264,3873,3623,3466,3149,3403,2523,2510,2426,2374,2032,1971,1763,1539,1518,1366,1371,1125,1119,1045,1033,882,747,713,680,635,665,573,542,525,397,443,375,393,272,307,306]
[303,331,331,469,488,388,598,638,770,991,996,1192,1306,1454,1928,2331,2782,3110,4040,4734,5352,5186,5160,4499,4135,3929,4184,4456,4633,5177,5444,5356,4879,4918,4770,4664,4509,5000,5351,5388,5986,5685,5157,5138,4881,4750,5168,6380,5608,6157,6168,5986,5638,5407,5136,4970,5117,5305,5647,5925,5861,5624,5744,5271,5021,5116,5215,5501,5570,5856,6079,5670,5519,5411,5175,4940,5053,5372,5457,5900,6022,5945,5636,5415,5974,5296,5174,5418,5666,6043,6173,5978,5686,5497,5209,5269,5378,5547,5840,6213,6035,6181,5743,5508,5080,5169,4996,5138,5330,5690,5615,5417,4736,4344,4119,3755,3640,3316,2965,2572,2641,2898,2227,2075,1915,1760,1566,1454,1425,1177,1224,1094,942,891,884,831,716,735,546,583,608,460,532,340,363,322,435,321,367,263]
[385,329,373,333,483,479,522,570,687,837,1030,1187,1442,1546,1784,2323,2858,3393,4534,5816,6512,6793,6317,5306,4618,4349,4421,4816,5378,5867,6417,6172,5657,5380,5050,5156,4857,5148,5581,6263,6682,6351,5999,5681,5386,5271,5101,5570,6185,6796,8420,7161,6380,5803,5071,5176,5387,5540,5983,6467,7004,6624,6043,5644,5139,5295,5351,5382,5756,6544,6604,6187,5843,5555,5340,5081,5291,5413,5913,6671,6741,6447,5913,5533,5366,5200,5465,6753,6431,6745,6733,6535,5913,5775,5464,5169,5641,5985,6707,7021,7119,6511,6346,5832,5236,5260,5308,5431,5848,6523,6471,5906,5277,4655,4289,3861,3597,3398,2920,2698,2464,2433,2333,2175,2411,1674,1547,1466,1358,1272,1105,1092,984,933,927,762,750,692,621,609,486,449,525,422,404,375,336,366,351,317]
[305,355,313,351,380,434,477,591,670,833,1011,1192,1280,1499,1618,2472,2735,3326,4366,5956,6523,7130,6858,5644,4648,4604,4276,4680,5283,5832,6193,6352,6237,5519,5021,4705,4962,4834,5562,6272,6720,6605,6125,5366,5174,4939,5125,5252,5850,6829,7122,7183,6712,7216,5216,5252,5480,5405,6095,6922,7279,6866,6250,5777,5004,4957,5095,5279,6091,6737,6795,6584,6224,5713,5170,5006,5064,5430,5997,6621,6665,6412,5879,5920,5377,5121,5306,5211,6015,6879,8367,6870,6037,5516,5214,5085,5385,5651,6563,7022,7188,6987,6404,5585,4977,4948,5255,5185,6038,6376,6826,5858,5340,4550,3911,3737,3501,3262,2989,2758,2527,2443,2331,2075,1779,1769,1572,1734,1271,1301,1268,1023,985,944,783,846,708,741,616,527,460,509,501,471,441,394,375,300,330,229]
[223,356,394,357,385,469,519,584,728,823,1014,1093,1243,1467,1828,2032,2456,3142,4607,4543,5252,5742,5478,5051,4604,4123,4075,4347,4642,4968,5299,5310,5158,5173,4984,4711,4646,4613,5093,5435,5757,5634,5290,5317,5237,4869,4812,4955,5323,5975,6211,5960,5971,5463,5309,5993,4915,5303,5377,6026,6519,5777,5550,5405,5212,4894,4807,5212,5661,5887,5964,5931,5524,5248,4991,4931,5067,5248,5679,5871,5885,5909,5592,5408,5074,4908,4863,4994,5336,5830,5960,5762,5725,6482,4825,4885,5056,5060,5539,6178,6079,5839,5694,5170,4909,4708,4592,4619,5265,5348,5695,5116,4853,4452,4098,3598,3393,3060,2905,2537,2509,2412,2253,1962,1834,1779,1613,1358,1411,1256,1288,1012,978,868,923,707,747,690,539,593,523,487,423,525,379,438,370,223,271,315]
[386,294,256,417,394,410,536,617,722,752,873,1009,1262,1366,1725,1919,2395,2609,2923,3460,4044,5236,4516,4179,4253,3891,3670,3870,4077,4573,4684,4634,4593,4461,4672,4680,4204,4684,4749,5010,4916,5059,4991,4973,4944,4848,4664,4776,5069,5186,5468,5588,5382,5234,5074,4737,4934,4936,6284,5081,5315,5282,5024,5129,5160,4926,4866,5052,5014,5205,5270,5253,5301,5263,4933,4802,4886,4914,5046,5316,5247,5389,5157,5176,5013,4706,4810,5050,4932,5236,5461,5364,5313,5100,4930,4810,5960,4827,5040,5344,5597,5185,4886,4957,4748,4688,4807,4652,4964,5205,4787,4795,4203,4228,4115,3672,3391,3038,3003,2735,2336,2253,2001,1903,1829,1640,1492,1498,1355,1284,1142,1109,1026,903,1068,726,687,647,650,516,541,438,508,506,346,323,347,359,319,294]
[304,344,381,375,450,423,572,631,681,753,884,1063,1222,1458,1695,2073,2272,2487,2604,3103,3767,4245,4066,3887,4732,3906,3796,3847,4213,4291,4593,4649,4397,4322,4382,4620,4459,4324,4657,4778,5252,4833,4856,4644,4733,4831,4777,4680,5076,5239,5355,5299,5230,4884,5124,4914,4834,4797,5125,5331,5346,5444,5748,4916,5132,5046,4927,4780,5038,5305,5476,5380,5144,4860,5134,4907,4826,5199,4921,5197,5059,5466,5325,4969,5093,5776,4882,4673,5108,5170,5526,5611,5271,5064,4670,5024,4854,4817,4983,6207,5605,5520,5171,4946,4969,4830,4761,4673,4917,4951,5134,4794,4261,4587,3783,3851,3439,3223,2978,2570,2402,2157,2105,1972,1966,1745,1689,1471,1428,1348,1123,1201,926,871,947,826,824,659,592,598,544,491,489,457,381,441,377,280,327,293]
[333,387,405,349,404,387,519,693,682,794,946,1093,1289,1464,1758,1992,2411,2687,2530,3066,3569,3604,3655,3338,3673,3791,3843,3641,3802,3935,4314,4240,4188,4125,4397,4595,4452,4207,4191,4520,4693,4845,4506,4400,5549,4900,4877,4629,4681,4840,5100,5109,4856,4707,4753,5067,4930,4823,5120,5022,5172,5178,4761,4566,5062,4941,4772,4728,4978,5184,5326,5295,4914,4781,5031,5154,4890,4741,4603,4945,5130,6073,5047,4792,4992,4970,4924,4841,4798,4997,5505,4855,4922,4643,5035,5002,4702,4559,4888,5108,5259,5349,4888,4847,4853,4837,4523,4415,4445,4795,5050,4514,4241,4068,3992,3867,3392,3189,2821,3151,2325,2188,2188,1980,1785,1765,1536,1467,1338,1173,1056,1052,994,1054,869,810,744,682,524,622,548,600,418,382,416,294,367,369,325,284]
[335,335,230,392,434,497,484,584,622,824,1043,1168,1286,1344,1806,1914,2396,2533,2528,3115,3674,3737,3457,3219,3379,3761,3783,3721,4046,4039,4261,4357,4038,4165,4226,4654,4524,4326,4371,4491,4931,4798,4819,4367,4624,4904,4902,5424,4558,4872,5017,4914,4860,4793,4881,5163,5174,4909,5035,4881,5228,5281,5163,4819,4827,5116,5055,5069,5138,5048,5298,5129,5032,4999,4936,5256,5059,4903,4930,4862,5117,5253,4829,4918,5791,5080,5094,4651,4962,5202,5290,5233,5061,4864,5131,5211,4884,4759,4993,4997,5403,4991,4802,4869,4832,5128,4843,4565,4633,4819,4969,4741,4281,4215,4123,3866,3460,3115,3042,2780,2486,2204,2617,1998,1944,1538,1488,1507,1307,1350,1201,1071,963,1053,804,784,651,604,633,648,547,440,418,383,352,434,303,399,233,319]
[264,315,264,422,503,511,608,533,722,774,970,1121,1223,1852,1594,2101,2401,2691,3017,3494,3863,3966,3904,3590,3474,3910,4026,4004,4291,4401,4459,4683,4312,4354,4245,4512,4656,4415,4797,4909,4930,4879,4922,4780,4681,4628,4704,4909,5247,5269,6465,5261,4915,5098,4955,4882,4988,5150,5303,5481,5353,5631,4983,5066,4983,5082,5245,5129,5341,5402,5647,5505,5151,5000,5137,5102,5122,5040,5156,5403,5670,5502,5447,4914,5052,4848,5080,6154,5254,5336,5501,5541,5056,5183,4979,5086,5026,5105,5318,5454,5507,5451,5156,4815,5088,5039,4985,4969,4941,5086,5196,4773,4561,4336,4200,3972,3615,3155,2998,2613,2643,2292,2219,2099,1924,2120,1588,1356,1349,1237,1140,1061,980,960,787,800,765,670,658,649,517,482,438,429,428,332,316,346,327,316]
[270,332,364,423,374,467,586,556,687,846,813,1022,1284,1521,1684,1913,3071,2776,3210,4011,4315,4314,4281,3873,3620,3940,3788,4122,4451,5016,5219,4816,4821,4633,4492,4525,4633,4632,4888,5396,5531,5179,5015,4923,4818,4670,4829,5052,5150,5501,5512,5504,5307,6098,4820,4896,5005,5282,5460,5713,5721,5578,5375,5349,5287,4895,5438,5249,5463,6026,5821,5697,5462,5239,5168,5052,5163,5280,5335,5712,5852,5881,5774,5532,5078,5234,5252,5473,5428,5861,5868,6928,5629,5253,5142,5044,5187,5328,5717,5891,6206,5886,5413,5361,5053,5077,4892,5236,5719,5704,5595,5172,4808,4565,4236,3957,3552,3201,2952,2711,2697,2530,2303,2112,2034,1737,1617,1516,1616,1277,1166,1187,942,969,805,812,759,664,678,579,487,513,416,409,375,315,397,395,333,231]
[248,268,321,396,349,540,502,528,675,743,928,976,1214,1452,1769,2047,2588,3112,3735,5559,4878,5255,4795,4416,4072,3926,4253,4525,5084,5443,5843,5637,5399,5135,4974,4658,4905,4998,4992,5892,5991,5831,5390,5105,5059,5008,5162,5430,5454,5861,6463,6012,5694,5303,5236,4795,6220,5397,5758,6356,6423,6433,5833,5375,5043,4907,5257,5402,5692,6104,6543,6018,5739,5506,5392,5104,5387,5442,5689,6080,6185,6126,5721,5450,5122,5356,5247,5699,5835,6077,6392,6160,5529,6672,5252,5195,5528,5480,6111,6407,6638,6147,5788,5318,5104,5024,5409,5503,5807,6222,6151,5793,5236,4702,4369,3875,3565,3263,3072,2787,2603,2145,2223,2109,1946,1743,1613,1404,1252,1256,1167,1122,993,872,835,719,705,639,628,577,503,511,439,407,322,387,337,337,391,314]
[289,388,289,412,393,467,597,609,741,747,1089,969,1395,1344,1806,1833,2848,2733,4118,4387,5462,6289,6420,5306,4481,4336,4484,4560,5179,6176,6306,6136,6740,5218,5255,4939,4917,5365,5534,6297,6778,6178,6245,5651,5151,5021,5273,5181,6031,6416,6894,6873,5940,5869,5367,5102,5479,5446,6166,8298,7064,6959,6252,5863,5268,5319,5284,5726,6219,6996,7191,6739,6509,5564,5539,5340,5417,5773,6249,6471,7005,6884,6689,5792,5314,5635,5562,5782,6369,6985,6764,6844,6292,5854,5435,5597,6719,5775,6601,7601,7119,7003,6332,5559,5426,5304,5320,5740,6558,7203,7009,6365,5901,5038,4430,4014,3602,3233,3104,2813,2594,2360,2285,2099,1944,1794,1512,1521,1332,1271,1113,1129,1007,797,956,772,722,580,549,496,487,459,447,389,331,370,354,272,301,246]
[254,316,320,403,402,502,558,563,730,787,1058,1149,1142,1518,1687,2110,2434,2979,4005,5083,6022,6675,6165,5185,4409,5296,4263,4709,5579,6170,6843,6753,6311,5513,5013,4735,4894,5180,5835,6567,6699,6495,6345,5583,5085,4929,4860,5128,5813,6638,7237,6593,6032,5651,5221,5093,5069,5414,6179,7023,7304,7104,7557,5862,5366,5321,5309,5398,6300,7130,7029,6858,6360,5920,5204,5098,5443,5486,6186,6629,7015,7067,6516,5873,5373,5299,5431,5524,6133,6911,6924,6582,6435,5656,5162,5095,5256,5715,6462,8727,7233,6951,6108,5651,5286,5212,5305,5766,6684,7476,7059,6547,5743,4876,4403,3896,3644,3293,3186,2877,2608,2432,2371,1946,1803,1594,1538,1392,1214,1189,1169,1028,991,859,813,782,754,709,584,637,416,453,379,436,354,327,327,351,183,246]
[298,367,411,488,468,452,521,652,681,826,975,1016,1252,1491,1744,2066,2339,2741,3560,4306,4779,5535,5301,4656,4135,3979,3890,4224,5765,5410,5517,5457,5453,5089,4857,4873,4800,4799,5398,5799,5843,5753,5469,5134,5094,4728,4773,4880,5452,6128,6013,5961,5505,5527,5145,5034,5060,5306,5797,6341,6039,6259,5872,5588,5372,5947,4923,5442,5946,6304,6196,6092,6002,5460,5245,5011,4952,5482,5927,6130,6402,6172,5890,5599,5229,4978,4997,5268,5755,6019,6148,6187,5734,5534,5184,4823,5171,5224,5573,6084,6351,6207,7027,5420,4765,4779,4756,5053,5736,6046,6143,5920,5397,4633,4315,3836,3603,3386,3089,2744,2397,2305,2214,1887,1762,1679,1482,1424,1369,1289,1154,967,892,826,869,759,698,666,634,615,522,395,440,435,403,369,365,364,306,220]
[334,375,367,367,416,460,502,684,670,827,1010,1026,1345,1462,1876,1924,2291,2552,2926,3564,4150,4355,4222,4163,4052,3866,3930,3957,4399,4736,5844,4773,4729,4697,4702,4559,4597,4607,4719,5187,5114,5114,5115,5081,4983,4981,4821,4763,4961,5181,5289,5332,5173,5170,5074,5030,4856,5081,5321,5484,5483,5519,5275,5595,5077,4950,5135,5023,6533,5741,5615,5594,5534,5094,5078,4888,4916,5232,5424,5739,5872,5547,5562,5288,5305,4783,4893,5092,5383,5494,5703,5311,5393,5086,5126,5061,4948,5005,5382,5254,5573,5300,5207,5196,4894,5360,4507,4855,4753,5446,5149,4788,4429,4543,4152,3756,3424,3025,2827,2572,2550,2301,2081,1923,1902,1679,1384,1470,1374,1202,1042,1027,887,893,830,727,707,674,549,573,514,446,432,403,330,394,402,340,314,267]
[221,359,372,403,485,554,581,626,687,737,985,1109,1254,1556,1623,1904,2403,2385,2730,3043,3438,4009,3905,3585,3692,3808,3742,3914,4009,4270,4541,4720,4671,4440,5480,4711,4636,4611,4718,4980,5089,5160,5048,5037,4970,4775,4820,4721,4875,5104,5165,5310,5045,4838,4971,5089,4867,5172,5013,5313,5649,5382,5366,5067,5119,5187,4983,5069,5126,5463,5524,6651,5212,5102,5072,5175,4961,5130,5153,5411,5614,5551,5428,5229,5028,5060,4869,4916,5070,5140,5525,5343,4969,4963,5140,4977,4941,5023,4929,5299,5452,5342,4754,4759,4971,5059,4727,4773,4914,5815,5087,4857,4280,4259,4142,3752,3340,2988,2930,2704,2420,2350,2143,2057,1970,1732,1490,1525,1276,1223,1250,1046,903,867,822,838,689,711,585,585,512,488,451,382,403,418,333,358,329,284]
[338,368,346,417,394,531,464,671,682,815,945,1118,1265,1571,1739,2192,2469,2448,2700,2891,3509,3747,3437,3357,3621,3969,3958,3978,3865,4156,4391,4412,4230,4337,4458,4767,4518,5339,4777,4900,5064,4944,4836,4517,4650,5009,4775,4642,4814,4948,5189,5119,4793,4751,4829,5028,4972,4841,4845,5132,5196,5329,4815,4782,4893,5214,5164,4764,4739,5122,5445,5226,5074,4982,6151,5274,4800,4771,5082,5457,5525,5172,4858,4957,5124,5162,4981,4957,4886,5061,5370,4996,4855,4722,4984,4951,4711,4768,4721,5017,5267,4910,4717,4670,4741,4921,4324,4366,4254,4388,4803,5219,4180,3927,3981,3674,3246,3034,2852,2627,2458,2128,2062,1952,1898,1680,1600,1418,1344,1196,1100,1018,959,906,761,838,676,643,571,479,601,442,400,370,363,436,353,350,257,284]
[333,370,403,382,494,548,551,588,719,872,963,1050,1308,1475,1811,1996,2473,2476,2791,3084,3651,3633,3271,3193,3479,3780,3839,3982,3928,4188,4482,4396,4344,4094,4476,4782,4767,4692,4703,4894,5816,4780,4693,4435,4936,5033,4822,4633,4767,5014,4907,4995,4866,4747,5017,5117,4974,4803,4890,5078,5442,5338,5128,4741,4897,5205,5136,4846,5032,5119,5509,5160,5088,4802,5030,5203,5177,5943,5079,5287,5219,5124,5022,4693,5021,5096,4998,5102,5023,5147,5277,5122,4829,4964,4889,5092,4982,4597,4836,4942,5051,5070,4593,4515,4775,4708,4556,4295,4390,4640,4880,4156,4085,3932,4568,3493,3244,2989,2698,2575,2365,2093,2023,1879,1918,1789,1566,1462,1256,1157,1189,1031,910,888,903,822,670,626,601,522,464,492,476,465,395,284,304,302,244,249]
[324,308,399,433,396,626,506,605,744,929,1025,1150,1328,1572,1778,2316,2360,2865,3220,3530,3941,3701,3620,3420,3638,3794,3949,4044,4195,4521,4698,4700,4379,4452,4524,4689,4755,4818,5154,5284,5223,5049,5131,5742,4855,4885,4831,5062,5023,5534,5541,5326,5114,4909,4635,5008,5023,5032,5275,5382,5550,5074,4899,5018,4939,5021,4982,5238,5230,5574,5428,5418,5150,5014,5085,5083,5231,5354,5400,5729,6760,5118,5259,5124,5149,5038,5274,5211,5219,5309,5314,5307,5049,5014,4909,5003,4930,5089,4886,5234,5224,5062,4835,4692,4836,4488,4506,4577,4684,4822,4684,4428,4015,3999,3909,3649,3105,3665,3001,2578,2429,2279,2160,1912,1872,1769,1467,1304,1332,1178,1207,1056,937,848,901,772,669,591,571,618,542,442,480,434,420,386,378,319,322,305]
[326,304,411,351,402,465,603,658,860,950,987,1195,1487,1598,1861,2249,2804,3018,3420,4082,4237,4138,3905,3724,3842,3967,4063,4387,4875,4903,4912,4845,4534,4642,4789,4746,4743,5140,5229,5839,5653,5465,5299,5103,4922,4842,6112,5111,5692,5867,5760,5562,5460,5050,5021,5139,5099,5113,5730,5872,5819,5505,5387,5181,4752,5079,4830,5409,5548,5917,6017,5510,5411,5091,5232,4982,5258,5465,6030,5742,6117,5720,5638,6108,5008,5003,5020,5226,5600,5825,5672,5643,5114,5096,5058,5008,5040,5234,5189,5359,5517,5215,5081,4847,4729,4654,4616,4598,4897,5312,5014,4538,4178,3972,4013,3661,3451,3055,2754,2723,2836,2062,2093,1924,1788,1662,1495,1375,1288,1242,1109,985,927,787,795,725,627,605,663,552,481,485,391,376,388,381,349,298,248,205]
[270,287,327,432,428,579,534,757,706,915,1019,1513,1271,1719,1975,2419,2856,3511,4273,4962,5242,5262,4769,4166,3882,4144,4290,4972,5533,5687,5570,5398,5395,5014,4902,5019,4913,5462,5993,6669,6333,5955,5794,5289,5090,5180,5265,5495,5858,7674,6209,6142,5552,5410,5010,5119,5373,5499,6157,6328,6315,6177,5399,5341,5177,5188,5318,5478,6117,6242,6313,5925,5636,5401,5261,5184,5520,5583,6312,6618,6625,6174,5704,5432,5229,5293,6471,5570,5941,6471,5941,5770,5660,5227,4920,5174,5283,5514,5726,6088,6110,5625,5373,4913,4856,5050,4875,4747,5332,5525,5570,5081,4470,4333,3851,3670,3507,2999,2881,2610,2445,2271,2093,2342,1794,1697,1525,1373,1282,1222,1080,1025,885,868,768,703,669,509,543,536,476,509,376,480,327,372,314,212,339,265]
[305,364,394,351,547,609,618,741,843,1004,1158,1392,1911,2032,2460,3063,3818,5000,5791,6212,6514,5223,4833,4241,4257,4403,5164,5960,6612,6467,6069,5547,5628,5014,5106,5225,5648,6855,7171,6905,6697,6122,5700,5127,5060,5377,5677,6846,7287,7471,6546,5989,5745,5323,5222,5387,6032,6466,6937,6931,6521,5809,5240,5199,5259,5500,6035,6655,7181,6751,6397,5889,5518,5307,5180,5485,5680,6972,7388,7099,6397,5933,5363,5229,5433,5380,5728,8006,6973,6752,6325,5932,5373,5191,5062,5414,5727,6428,6805,6435,6077,5684,5208,4847,4891,5204,5308,5989,6071,5858,5259,4733,3980,3721,3399,3336,3048,2866,2501,2403,2225,2011,1831,1690,1902,1477,1215,1227,1199,1051,978,856,740,702,695,623,603,526,544,428,460,369,332,370,318,362,289,246,272,252]
[258,386,381,397,392,509,567,566,793,919,991,1122,1256,1597,1815,2475,2490,3365,4687,5705,6226,6677,5849,4848,4253,4000,4318,4682,5763,6346,7118,6506,6052,5454,4890,4750,4911,5350,6633,7344,7658,7145,6449,5639,5163,5030,4976,5447,6212,6895,6988,6775,7352,5239,5039,5051,5147,5598,6431,6767,6916,6597,6000,5441,4891,4979,5079,5471,6420,7019,6895,6618,6017,5487,5030,4770,5053,5534,6541,7296,7455,6577,6098,5572,4907,4965,5175,5155,6313,7009,8273,6551,5933,5204,4857,4887,4790,5438,6047,6701,6712,6123,5479,4899,4689,4573,4746,5049,5817,6002,5964,5597,4578,4147,3743,3445,3252,2865,2705,2464,2240,2169,2040,1870,1670,1539,1493,1574,1132,1101,996,1004,810,814,743,695,721,632,527,431,473,427,338,407,382,358,387,258,230,253]
[270,355,380,395,477,443,517,594,756,935,965,1168,1395,1593,1720,2172,2433,2854,4735,4701,5386,5497,4826,4411,4061,3996,4046,4535,5212,5476,5768,5632,5346,5189,4903,4501,4761,5032,5565,6089,5966,6064,5643,5450,5102,4744,4709,4982,5545,6307,6015,5996,5787,5498,5251,5648,4828,4954,5506,5885,6013,5833,5496,5000,4818,4814,5085,5250,5513,6075,5677,5787,5543,5219,5023,4772,4663,5490,5685,6262,6094,5749,5439,5213,4865,4872,4747,5003,5791,5950,6176,5937,6522,5008,5050,4862,4981,5198,5457,5926,5750,5576,5206,4759,4501,4652,4563,4854,5153,5409,5416,4806,4416,3943,3722,3385,3178,2871,2624,2573,2285,2006,2023,1935,1617,1491,1374,1322,1232,1088,1283,966,884,842,750,817,715,648,549,502,458,446,341,368,299,273,244,268,282,243]
[324,396,447,345,427,545,618,568,701,958,961,1274,1286,1732,1759,2089,2384,2757,3158,3477,4243,5110,4068,4089,3853,3711,3808,4217,4482,4641,4714,5060,4530,4836,4797,4682,4583,4625,5066,5348,5111,5140,5265,4919,4796,4818,4904,5011,5204,5314,5230,5319,5133,5033,5005,4680,4830,4833,6212,5245,5371,5174,5046,4816,4865,4596,4963,4821,5053,5444,5452,5229,5312,5061,5017,4862,4734,5049,5265,5224,5372,5421,4886,4956,5042,4690,4953,4889,5128,5133,5356,5172,5265,5072,4918,4567,5569,4844,4707,5104,5095,5130,4550,4857,4437,4585,4235,4366,4489,4683,4530,4146,3914,3935,3589,3338,3236,2747,2662,2335,2188,2135,1843,1792,1721,1469,1320,1238,1223,1194,947,992,850,892,710,650,667,574,547,443,438,449,459,356,301,278,288,282,227,302]
[312,329,349,438,429,492,562,619,681,877,1036,1164,1320,1505,1831,2280,2366,2552,2712,3295,3890,3810,3668,3608,4658,3867,3768,3795,4206,4426,4764,4565,4421,4540,4709,4647,4626,4620,4635,4925,5247,5100,4611,4477,5091,4824,4794,4909,4776,5118,5256,5010,4859,4846,4651,4976,4840,4470,4909,5250,5241,6330,4705,4766,4723,4722,4586,4778,4823,4967,5442,5189,5014,4929,4899,4644,4686,4971,5024,5062,5284,5102,4887,4826,4826,4744,4742,4660,4819,5131,5216,5097,4725,4795,4714,4786,4602,4823,5432,4892,5158,4700,4609,4397,4634,4371,4171,4251,4399,4727,4493,4206,3891,3887,3644,3393,3094,2869,2561,2459,2123,1994,2010,1846,1765,1520,1371,1359,1223,1113,1048,1039,874,855,751,695,720,542,528,486,416,414,323,304,317,352,287,228,257,165]
[322,339,383,382,405,438,545,591,716,851,895,968,1335,1589,1731,2160,2370,2597,2692,3255,3638,3646,3572,3461,3662,3862,3643,4606,4110,4255,4501,4214,3940,4164,4373,4689,4642,4687,4346,4782,5030,4890,4444,4464,4630,4728,4822,4704,4874,4902,5053,4809,4791,4663,4994,4857,4885,4678,4546,5087,5012,4876,4698,4745,5640,4935,4624,4879,4726,5041,5101,4854,4507,4637,4840,4901,4819,4747,4935,4951,5095,5067,4588,4727,4819,4920,4897,4619,4582,5018,5226,5053,4751,4577,4884,4771,4575,4619,4466,4797,4859,5710,4404,4458,4598,4308,4223,4153,4326,4530,4610,4061,3761,3771,3624,3405,2952,2701,2527,2217,2107,2042,1997,1757,1801,1564,1487,1413,1227,1113,1004,1031,963,763,793,687,704,577,496,519,523,438,370,386,226,330,275,265,273,250]
[294,357,421,458,445,458,550,644,738,689,1014,1179,1251,1428,1816,2249,2464,2630,2881,3375,3892,3637,3351,3137,3461,3821,3815,3660,3819,4110,5213,4124,3965,3952,4229,4830,4620,4408,4542,4511,4706,4591,4609,4579,4652,4859,4905,4746,4804,5054,4946,4977,4765,4657,4775,4901,4924,4795,4495,4796,4977,4994,4629,4559,4594,5130,4887,5467,5038,4980,5014,4988,4726,4988,4881,4945,4706,4658,4628,5147,5022,4843,4534,4508,4969,4957,4821,4638,4811,5010,4957,4934,4713,4822,4641,4962,4513,4598,4585,4716,5086,4779,4565,4508,5479,4541,4328,4291,4430,4558,4509,4176,3836,3891,3583,3367,3051,2911,2721,2516,2373,2061,1848,1826,1665,1518,1368,1339,1189,1056,983,935,892,843,741,716,693,623,563,436,382,524,406,411,375,254,277,290,283,221]
[369,291,348,413,430,508,568,621,733,909,956,1156,1303,1550,1929,2466,2755,2796,3218,3467,3917,3894,3524,3665,3736,3751,3752,4052,4142,4306,4517,4415,4825,4116,4213,4449,4683,4747,4910,4697,4903,4786,4504,4587,4575,4647,4805,4695,5173,5113,5455,4969,4778,4604,4708,5059,4824,4873,5316,5485,5254,5097,4972,4810,4783,4705,4841,5073,5241,5401,6272,5102,4860,4723,4765,4880,5038,5068,5318,5121,5122,5060,4831,4754,4637,5060,4915,4899,5134,5254,5072,4924,4877,4818,4811,4665,4723,4946,4968,5168,5100,4932,4526,4401,4602,4547,4446,5411,4647,4739,4580,4420,4113,4059,3702,3503,3250,2800,2679,2460,2173,2075,1802,1770,1757,1527,1371,1253,1206,1079,978,836,849,760,667,663,585,580,462,454,445,421,357,366,345,346,246,213,299,256]
[299,298,322,409,472,515,535,595,713,933,1013,1260,1272,1612,1955,2291,2914,3131,3905,4251,4421,4342,4078,3843,3792,3731,3881,3992,4258,4873,4721,4579,4338,4393,4178,4495,5446,4697,5261,5530,5354,4812,4727,4621,4687,4631,4820,4878,5210,5488,5676,5256,5296,5095,4697,4680,4962,4921,5325,5747,5513,5297,5092,5091,4761,4869,4890,4888,5371,5734,5499,5408,5247,6032,4739,4930,4964,5167,5503,5947,5722,5728,4966,5133,4850,4850,4900,4920,5410,5716,5658,5378,4935,4946,4725,4887,4920,4665,5105,5339,5406,5201,4907,4744,4466,4604,4623,4594,5083,5259,6199,4602,4428,4132,3733,3462,3040,2911,2774,2484,2327,1975,1972,1727,1685,1581,1360,1313,1102,1112,976,998,757,751,689,664,566,490,521,437,502,402,332,339,310,290,265,221,302,217]
[255,420,342,401,485,474,558,644,710,818,958,1173,1306,1510,1856,2511,2985,3648,4794,5472,5557,5653,4929,4241,3950,3959,4112,4402,4828,5329,5031,4978,4711,4495,4389,4588,4835,4904,5873,7092,5666,5528,5060,4884,4618,4784,5119,5436,6048,6349,6328,5972,5410,5355,5022,5013,5067,5386,5710,6494,6296,6031,5725,5351,4943,4945,5105,5517,6189,6516,6213,5990,5477,5251,4803,4963,6117,5495,6291,6683,6268,6045,5631,5181,5001,4832,5083,5467,5733,5980,6029,5689,5360,5182,4863,4902,4901,5151,5607,5669,5703,5239,5289,4865,4647,4633,4566,5088,5839,5761,5513,4890,4577,5045,3798,3412,3229,2917,2538,2376,2263,2100,1909,1717,1589,1442,1341,1332,1116,996,955,904,844,770,668,654,624,550,431,443,374,401,361,329,317,300,298,314,282,209]
[345,353,363,441,387,652,655,685,749,957,957,1212,1447,1579,1792,2293,2982,4042,5350,6317,6646,6594,5907,4692,4407,4326,4311,4807,5490,5814,5858,5780,5342,4941,4588,4718,5106,5233,6217,6759,6664,6376,6928,5079,5055,4968,5161,5546,6585,7115,7347,6765,6095,5182,4765,5003,5146,5774,6508,6652,6964,6616,6079,5444,5013,5023,4948,5435,6433,7080,7006,6572,5816,5427,4858,5023,5030,5646,6445,8689,6930,6457,6132,5221,5021,4901,5188,5787,6506,6850,6810,6491,5968,5214,4788,4770,5038,5485,6347,6560,6419,6101,5385,4988,4809,4903,4878,5416,6737,6709,6327,5780,5055,4478,4053,3480,3872,3034,2604,2394,2295,2111,1939,1749,1595,1485,1352,1132,1125,1046,917,827,844,633,583,577,598,543,545,486,393,368,384,361,383,260,215,195,280,233]
[289,347,362,383,435,509,566,722,715,742,1046,1186,1277,1431,1675,2133,2776,3631,4995,6284,6246,6654,5772,4756,4415,4287,3915,4433,5334,5787,5839,5513,5309,4685,4467,4409,4618,5136,5919,6448,6460,5932,5721,5221,4866,5587,4713,5326,6265,6686,6462,6420,5666,5386,4879,4777,4920,5536,6302,6519,6774,6330,5933,5111,4844,4547,4934,5500,6233,7094,6830,6337,5652,5305,4807,4552,4818,5310,6370,6809,6780,6114,6894,5174,4819,4572,4893,5494,6394,6634,6492,6161,5918,5179,4740,4585,5002,5167,5994,6410,6284,5934,5228,5475,4589,4324,4754,5660,6509,6716,6112,5324,4767,4276,3694,3376,3261,2735,2660,2775,2201,2019,1782,1754,1541,1419,1358,1177,1090,1012,859,851,785,685,622,675,555,432,488,564,418,309,362,335,313,242,205,222,289,151]
[241,295,391,312,512,485,462,666,727,859,934,1277,1371,1419,1691,2061,2537,2904,3770,4381,4905,5444,4841,4377,3989,3768,3729,3926,4313,4898,4834,4784,4659,4346,4330,4262,4117,4451,4937,5441,5365,5408,4998,4964,4704,4606,4559,4826,6523,5567,5671,5572,5315,5051,4790,4691,4694,4929,5697,5708,5753,5617,5278,5138,4878,4438,4698,4777,5221,5820,5943,5550,5140,4852,4386,4318,4467,4722,5145,5632,5668,5538,5198,4942,4492,5298,4587,4688,5300,5466,5741,5321,5046,4606,4460,4312,4415,4663,5085,5501,5289,5124,4884,4567,4214,4275,4206,4546,5209,5579,5204,4891,4399,4193,3475,3359,3115,2844,2435,2233,2081,2004,1890,1949,1554,1338,1262,1161,1085,920,843,834,665,716,633,517,620,486,544,480,356,305,324,328,343,274,295,251,174,155]
[313,363,402,363,448,389,492,553,710,834,998,1022,1173,1325,1993,2025,2226,2436,2860,3431,4068,3962,4012,3814,3688,3481,3585,3741,3801,4283,4409,4203,4149,4101,4375,4229,3919,4361,4611,4645,4908,4710,4620,4452,4420,4593,4334,4436,4825,4915,4937,5935,4780,4652,4462,4521,4304,4680,4768,4785,4780,4890,4807,4764,4497,4364,4326,4684,4715,4970,4953,4946,4658,4871,4599,4460,4238,4439,4671,5017,5053,4859,4763,4713,4393,4482,4241,4451,5598,4777,5209,4687,4576,4787,4327,4300,4396,4647,4577,4854,4650,4737,4317,4385,4240,3912,4112,4122,4687,4788,4380,4327,3898,3955,3554,3282,2964,2653,2387,2149,1926,1794,1906,1680,1446,1337,1459,1091,1028,933,863,724,697,698,725,600,581,448,488,357,378,367,295,302,294,301,263,223,255,198]
[247,328,423,438,410,456,533,619,770,861,943,1013,1309,1302,1674,1836,2254,2915,2701,3015,3665,3765,3624,3493,3607,3747,3619,3665,3565,4000,4126,4002,3941,4206,3988,4102,4124,4177,4248,4593,4518,4363,4233,4388,4493,4545,4234,4502,4552,4577,4743,4631,4480,4325,5343,4377,4513,4489,4626,4727,4989,4795,4583,4316,4595,4364,4434,4345,4526,4912,5012,4663,4407,4351,4438,4343,4231,4381,4446,4830,4992,4771,4408,4301,4550,4515,4157,4491,4528,4709,4800,4585,5187,4332,4455,4274,4455,4436,4461,4770,4525,4364,4173,4293,4352,3936,3997,4160,4330,4606,4398,3931,3933,3618,3457,3058,2930,2575,2345,2221,1961,1804,1614,1509,1430,1382,1250,1119,998,1237,916,913,757,733,604,687,543,468,414,400,402,279,335,270,294,322,215,238,240,157]
[308,355,345,369,403,478,537,518,619,727,859,1008,1117,1377,1560,1886,2281,2360,2547,2820,4268,3425,3301,3212,3450,3717,3739,3485,3627,3754,3963,4057,3917,3701,4119,4306,4167,3979,4155,4216,4234,4218,4047,4094,4154,4476,4228,4115,4061,4350,4406,4461,4084,4195,4419,4509,4295,5253,4510,4653,4826,4530,4184,4205,4538,4628,4434,4269,4335,4449,4712,4512,4426,4249,4448,4453,4330,4190,4291,4718,4725,4745,4394,4241,4256,4491,4559,4082,4141,4527,4800,4542,4280,4071,4411,5106,3970,4163,4089,4576,4496,4180,4128,4153,4220,4170,3905,3920,4020,4202,4362,4082,3738,3582,3484,3209,2808,2653,2369,2037,2086,1969,1751,1509,1469,1321,1223,1076,1099,929,880,927,874,722,593,593,519,459,455,432,331,389,317,259,304,297,284,250,204,154]
[314,293,364,345,332,359,479,618,676,771,776,911,1120,1424,1666,2063,2329,2463,2559,3042,3466,3488,3100,3859,3644,3879,4088,3800,3785,4083,4276,4043,3771,3744,4049,4508,4233,3948,4113,4323,4301,4230,3983,4050,4113,4293,4242,4289,4552,4690,4900,4402,4418,4579,4543,4732,4477,4552,4657,4760,5920,4819,4338,4229,4381,4640,4386,4290,4392,4608,4747,4482,4183,4127,4577,4580,4314,4052,4509,4762,4790,4792,4194,4327,4391,4480,4446,3990,4578,4700,4762,4763,4356,4196,4401,4472,4243,4832,4262,4545,4457,4512,4104,4168,4348,4239,4141,3922,4054,4315,4069,3911,3522,3475,3418,3361,2857,2522,2294,1984,1924,1816,1615,1560,1472,1249,1234,1073,1038,1008,863,809,767,742,702,669,541,452,390,406,336,378,336,313,257,265,166,254,188,233]
[302,361,358,322,393,360,486,597,629,831,821,1036,1081,1395,1595,1932,2329,2605,2815,3372,3673,3596,3541,3277,4098,3664,3697,3923,4007,4293,4349,4138,3716,3784,4062,3993,4208,4046,4493,4566,4710,4228,4029,4043,4058,4150,4085,4442,4563,4713,4911,4728,4533,4534,4483,4621,4529,4591,4933,4905,4928,4850,4869,4463,4410,4458,4533,4353,4749,4722,4797,4723,4358,4288,4394,4263,4384,4566,4643,5009,5019,4710,4513,4396,4431,4581,4421,4444,4937,4872,5038,4964,4612,4454,4395,4485,4109,4261,4531,5660,4902,4693,4334,4299,4197,4142,4110,4068,4274,4700,4604,4041,3835,3859,3596,3320,2956,2665,2455,2168,2084,1685,1666,1497,1426,1258,1134,1055,1065,979,878,841,688,695,614,601,602,426,493,374,344,302,269,296,304,218,243,263,157,224]
[309,327,370,463,381,517,565,454,679,818,875,1037,1113,1406,1583,1973,2459,2820,3229,4032,4236,3912,3869,3460,3431,3482,3880,4618,4453,4851,4621,4569,4365,4155,4030,3964,4098,4241,4555,4812,4727,4511,4311,4090,3999,4049,4269,4457,4877,5162,5145,4909,4765,4603,4490,4293,4918,4616,4964,5334,5670,5070,4687,4503,4405,4351,4311,5475,4838,5164,5051,4802,4549,4359,4253,4068,4371,4460,4749,4913,5114,4888,4561,4375,4281,4344,4321,4755,4854,5428,5478,5286,4812,4285,4331,4211,4195,4420,4841,4870,4967,4749,4532,4502,5154,4328,4123,4138,4727,4872,4514,4300,3917,3773,3508,3429,2894,2526,2248,2198,2027,1736,1681,1473,1340,1251,1152,1084,987,835,862,738,661,646,544,508,474,394,381,386,342,410,297,210,243,293,241,191,241,184]
[215,332,339,318,351,505,488,561,619,719,877,957,1169,1340,1624,1871,2498,2888,3919,5114,5378,5498,4686,4142,3889,3579,4019,4471,4657,5736,5905,5482,5873,4308,4073,3866,4203,4370,4767,5476,5487,5144,4556,4258,4086,4039,4233,4543,5261,5791,5761,5709,5120,4715,4416,4461,4628,4785,5645,6271,6160,5957,5334,4686,4376,4443,4419,4446,5011,5447,6632,5039,4827,4421,4238,4244,4009,4597,5087,5694,5623,5279,4853,4567,4351,4158,4609,4820,5698,6191,6322,5586,5111,4554,4303,4214,4162,4558,5113,5722,5209,5416,4995,4436,4439,4191,4203,5254,4966,5231,5074,4483,4066,3674,3286,3110,2900,2401,2214,2130,1800,1690,1674,1485,1285,1302,1095,959,1011,1014,815,706,680,536,545,462,436,523,413,420,320,284,252,257,272,249,235,134,208,178]
[254,377,276,330,406,463,468,529,591,714,771,1023,1089,1250,1518,1901,2448,3049,4331,6185,6299,6193,5948,4696,3961,3702,3802,4241,5413,6257,6494,6174,5807,4923,4432,4834,4037,4434,5347,6151,6196,6058,5359,4180,3988,4116,4065,4590,5382,6524,6792,6455,5620,5240,4534,4481,4636,5070,6191,6986,7136,6771,5984,5127,4579,4487,4251,4562,5366,6216,6262,5875,6363,4678,4056,4302,4223,4451,5411,5743,6023,5844,5115,4454,4215,4344,4302,4765,6072,7022,6822,6661,6067,4903,4145,4305,4322,4609,5685,6448,6321,6148,5593,4640,4368,4028,4115,4436,5301,6298,6883,5144,4566,3779,3354,3082,2758,2510,2290,1955,1778,1612,1605,1477,1265,1130,1064,1016,824,852,820,753,626,620,591,475,447,378,303,391,287,276,291,317,230,194,190,173,167,188]
[288,343,306,320,363,479,476,501,578,771,833,939,1184,1394,1694,1850,2427,3089,4678,5700,6256,6184,5537,4407,4063,3776,3867,4118,5422,6052,5780,5905,5436,4795,4277,4321,3962,4255,6116,6129,5756,5642,4855,4136,3991,3903,4003,4447,5740,6133,6365,6270,5644,4569,4264,4172,4317,4989,5982,6804,6669,6267,5919,4940,4469,4090,4155,4414,5472,6022,5880,5619,5094,4548,4116,4914,3981,4451,5501,6231,6080,5534,4553,4448,4186,3906,4161,5026,6142,6595,6757,6358,5444,4393,4035,3914,4043,4783,5651,6224,6111,5943,5146,4401,4242,4217,3804,4414,5352,5825,5444,5098,4136,4474,3293,3066,2776,2432,2152,1843,1839,1635,1610,1325,1179,1102,978,1021,878,751,811,717,550,545,541,436,395,420,297,320,306,306,265,245,211,229,167,157,144,192]
[322,286,286,336,477,427,427,512,530,544,747,966,1021,1274,1552,1766,2066,2812,3452,4439,4934,5029,4593,3934,3654,3410,3383,3683,4120,4819,4854,4829,4635,4196,4105,3791,3599,3853,4515,4774,4784,5666,4069,3741,3689,3747,3718,4041,4627,5277,5399,5091,4800,4255,4035,4143,4041,4295,4987,5427,5380,5352,4846,4369,4162,3788,3830,4092,4587,5031,4919,4737,4464,3956,3935,3582,3675,3999,5364,5001,5038,4867,4342,3970,3792,3892,3915,4275,4996,5207,5306,5194,4723,4192,3995,3774,3466,4060,4606,5230,5119,4998,4647,3979,3853,3662,3618,4057,4389,4777,4473,4197,3794,3518,3156,2833,3278,2251,2137,1683,1752,1533,1300,1364,1150,1113,939,810,890,710,742,676,561,472,466,398,433,419,361,320,327,336,217,197,192,212,184,232,98,98]
[258,276,334,320,426,332,494,596,579,714,857,921,979,1245,1657,1812,2103,2260,2762,3282,4035,3886,3548,3475,3327,3263,3137,3261,3542,3921,4152,4030,3922,3771,3686,3553,3640,3603,3834,4061,3933,3773,3591,3561,4228,3653,3483,3831,4260,4587,4598,4553,4054,3860,3794,3769,3514,3826,4192,4497,4745,4568,4014,3942,3780,3687,3599,3529,4081,4298,4306,4224,3881,3635,3616,3484,3805,3601,3813,4058,4359,5095,3866,3704,3751,3607,3609,3752,4069,4536,4657,4632,4072,3885,3725,3449,3701,3608,4147,4457,4406,4042,3775,3774,3428,3263,3403,3546,3650,3787,3914,3559,3110,3228,3069,2730,2690,2259,2213,1673,1595,1435,1383,1260,1129,1014,873,831,800,739,738,678,648,492,539,523,398,447,272,332,260,262,262,128,172,221,205,98,90,200]
[313,244,269,350,332,363,411,421,478,747,689,746,989,1064,1392,1625,1964,2107,2470,2981,3501,3327,3308,3333,3350,3526,3361,3557,3431,3538,3930,3625,3579,3506,3448,3358,3344,3224,3469,3701,3743,3441,3336,3293,3223,3420,3355,4093,3608,4056,4004,3844,3560,3526,3575,3574,3696,3768,3881,4394,4446,4082,3719,3743,3577,3825,3590,3452,3685,4011,4284,3887,3471,3549,3544,3539,3442,3309,3365,3827,3873,3769,3399,3390,4227,3598,3657,3569,3811,4083,4186,4000,3774,3557,3646,3673,3463,3583,3532,4058,3990,3836,3557,3522,3407,3141,3443,3313,3418,3626,3694,3390,3108,3184,2719,2650,2204,1941,1855,1546,1527,1625,1138,1235,1037,995,899,819,686,771,676,558,556,466,479,382,385,365,354,260,281,207,184,267,191,168,144,184,98,86]
[221,255,284,270,284,447,416,449,508,525,711,735,1049,1125,1451,1616,2014,2154,2432,2781,3325,3354,3004,2910,3325,3345,3419,3404,3135,3372,3694,3623,3220,3226,3290,3422,3376,3426,3189,3395,3700,3416,3220,3326,3378,3418,3365,3182,3373,3759,4915,3649,3353,3611,3682,3687,3754,3500,3761,4063,4384,4101,3662,3570,3744,3701,3585,3426,3437,3804,3910,3895,3702,3198,3409,3591,3497,3399,3223,3899,3773,3741,3526,3287,3543,3661,3460,4209,3546,4050,4130,3841,3720,3572,3567,3598,3494,3350,3475,3910,3970,3610,3271,3385,3464,3309,3307,3099,3357,3636,3689,3469,3029,2980,2826,2470,2127,1955,1731,1563,1422,1316,1150,1179,1153,1036,941,736,791,623,579,597,502,492,439,444,417,347,244,256,241,206,292,226,150,133,151,210,96,88]
[230,341,336,347,366,375,424,502,489,561,669,726,913,1127,1252,1991,2054,2237,2570,2962,3309,3185,3055,2822,3120,3464,3272,3207,3381,3598,3731,3509,3245,2995,3143,3377,3329,3214,3298,3426,3649,3484,3276,3132,3234,3464,3427,3200,3366,3825,3806,3610,3390,3972,3538,3627,3397,3360,3693,4166,4203,3832,3557,3369,3678,3844,3448,3399,3742,3718,3889,3789,3477,3386,3492,3453,3125,3142,3487,3490,3837,3557,3395,3222,3398,3381,3279,3189,3524,4031,4841,3795,3488,3419,3588,3428,3417,3242,3461,3779,3815,3387,3532,3355,3477,3434,3024,3026,3367,3793,3615,3382,3131,2917,2813,2472,2132,1757,1676,1407,1343,1236,1167,1166,1054,923,923,988,674,564,611,577,485,496,490,377,375,317,386,253,220,212,175,256,167,226,139,90,86,96]
[262,197,277,275,381,306,351,511,525,622,679,830,839,1035,1084,1667,2097,2335,3329,3192,3473,3448,2990,3024,3260,3282,3298,3375,3816,3824,3917,3475,3081,3147,3348,3272,3207,3259,3326,3571,4030,3748,3325,3132,3168,3335,3325,3327,3432,3763,4072,3775,3612,3389,3480,4081,3390,3757,3891,4257,4264,4041,3675,3532,3679,3702,3473,3583,3806,3994,4293,3767,3513,3397,3453,3482,3419,3333,3762,3649,4172,3711,3586,3422,3381,3328,3394,3565,3808,3919,4382,3938,3670,4335,3616,3546,3439,3429,3666,4086,4195,3714,3551,3357,3480,3322,3331,3302,3652,3857,3986,3557,3176,3124,2995,2587,2094,1872,1681,1365,1340,1211,1174,1120,983,845,806,733,652,606,653,562,435,422,404,355,327,292,340,287,287,186,246,163,213,142,96,187,100,92]
[264,271,265,241,320,269,383,378,421,487,597,808,908,934,1320,1601,2206,2441,3188,3894,4128,4879,3476,3036,2931,3133,3121,3379,3963,4482,4524,4152,3664,3152,3182,3093,3135,3307,3743,4119,4326,3675,3466,3262,3329,3158,3259,3331,3762,4356,4301,4220,3802,3519,3258,3287,3500,3734,4984,4704,5093,4103,4126,3731,3663,3593,3660,3627,4212,4737,4888,4390,4139,3644,3447,3442,3513,3418,4001,4644,4557,4467,3623,3323,3360,3268,3569,3379,3981,4699,4605,4269,3923,3715,3543,3398,4178,3650,3842,4112,4295,3841,3588,3327,3246,3073,3239,3379,4127,4362,4221,3829,3468,3201,2929,2573,2182,1730,1584,1548,1381,1230,957,938,910,747,719,672,672,555,600,519,370,490,416,360,336,294,340,292,210,243,165,239,152,193,123,84,152,84]
[165,219,255,300,323,402,334,447,468,552,618,745,729,1018,1158,1791,2220,2561,3946,4913,5070,5039,4461,3659,3473,3129,3219,3838,4994,6232,5648,5728,4204,3756,3275,3261,3225,3630,4397,5422,5042,4575,4098,3300,3215,3201,3408,3600,4534,5616,5785,4905,4305,3655,3516,3650,3524,4066,5047,5743,6232,6480,4687,3505,3592,3481,3529,4063,4945,5533,5499,5307,4311,3661,3481,3323,3465,3771,4839,5595,5336,4921,4202,3583,3427,3208,3389,3723,4812,5597,5540,5018,4258,3860,3470,3447,3518,3782,5825,5317,5387,4991,4225,3661,3524,3288,3159,3931,5065,6298,5391,5067,4044,3240,2816,2303,1935,1596,1563,1377,1243,1056,956,801,780,798,673,554,589,592,446,464,330,377,292,350,376,295,263,220,162,225,158,155,153,98,84,84,66,72]
[249,204,283,205,247,290,299,397,369,497,621,653,644,891,1097,1367,1859,2624,4487,5660,6341,6403,5768,4138,3415,3396,3343,5420,6470,7126,6554,6137,5318,3841,3380,3221,3258,3806,5198,6036,5868,4950,4170,3517,3178,3204,3452,3966,5025,5862,5915,5730,4844,3779,3336,3436,3533,4141,5627,6848,6876,6443,5344,4284,4434,3358,3430,4230,5664,6594,6967,6175,5081,3665,3312,3242,3130,3837,5314,6440,6071,5734,4539,3656,3244,3196,3150,3978,5241,6337,6151,5780,4846,3903,3510,3176,3102,3556,4944,5826,5771,6739,4406,3634,3258,3047,3227,4020,6049,6729,6314,5645,4266,2945,2357,2191,1728,1644,1429,1173,1020,986,904,771,807,700,596,615,568,395,408,408,323,296,378,301,287,225,199,253,255,231,189,100,84,76,88,72,52,80]
[173,216,256,315,269,328,415,298,377,525,531,499,722,699,836,1211,1659,2369,3509,4844,5660,5942,5400,4167,3582,3452,3317,3813,5457,6234,7022,5895,5031,3795,3237,2971,2894,3415,4369,5263,5116,4456,3624,3328,2864,2973,2991,3301,4127,5045,5064,4909,4166,3367,3159,3211,3128,3489,4605,5525,5737,5319,4958,3898,3459,3177,2991,4132,4724,5400,5689,5456,4531,3491,3153,2967,2755,3368,4594,5275,5290,4997,4213,3274,2819,2758,2849,3364,4605,5108,5221,4947,4426,3540,3178,3060,3020,3263,4189,4912,4744,4993,4164,3130,3548,2844,2817,3547,5030,5632,5160,5038,3611,2756,2176,1913,1504,1417,1277,1077,917,889,802,750,690,625,523,570,464,412,481,387,361,343,316,235,267,216,173,233,143,215,154,176,94,80,82,80,58,50]
[176,246,203,275,295,306,278,304,347,443,496,606,616,744,841,945,1322,1659,2552,3033,3829,4068,3984,3388,2917,2807,2574,2795,3480,4124,4286,4375,4568,3038,2850,2606,2563,2519,3110,3511,3538,3392,3045,2723,2693,2374,2511,2502,3085,3257,4009,3776,3219,2789,2732,2746,2785,2862,3322,3870,4275,4300,3618,3207,2821,2564,2502,2672,3242,3935,4947,4156,3168,2887,2519,2492,2241,2525,3345,3823,3856,3582,3091,2571,2473,2315,2439,2416,3200,3608,3739,3808,3259,2662,2677,2547,2344,2471,2974,3637,3697,3584,2997,2559,2494,2449,2263,2909,3121,3776,3833,3640,2958,2166,1916,1798,1558,1320,1159,905,877,759,766,628,555,607,515,492,402,469,350,416,331,330,305,349,200,281,134,216,149,163,142,78,58,82,72,50,54,60]
[252,233,209,233,291,329,238,323,340,450,421,505,651,700,888,1096,1313,1825,2301,2894,3131,2923,2645,2531,2207,2124,2179,2720,3043,3559,3081,2647,2522,2865,1968,2181,2206,2674,2849,2846,2718,2452,2261,2057,2161,2147,2271,2483,2996,2996,2866,2550,2342,2377,2250,2443,2385,2817,3318,3482,3252,2799,2349,2330,2198,2270,2421,2732,3137,3332,3577,2424,2246,1992,1948,2032,2149,2634,3077,3029,2643,2338,2070,1941,1799,2003,2237,2520,2788,3033,2911,2475,2077,2209,2009,2106,2206,2438,2880,2940,2643,2298,2080,1907,1896,1906,2089,3044,3060,2828,2472,2013,1886,1563,1453,1235,1171,986,784,700,676,720,645,545,493,440,425,351,388,384,274,275,269,299,261,266,194,287,135,173,88,86,88,60,68,78,70,42,54,44]
[172,194,170,249,208,243,274,337,389,390,377,513,500,618,672,876,1020,1164,1501,1829,2291,2403,2483,2546,2376,2323,2200,2268,2308,2546,2559,2632,2464,2382,2112,2049,2302,2128,2307,2253,2414,2281,2231,1976,1956,1886,1996,2082,2305,2526,2456,2455,2179,2071,2047,2021,2106,2303,2360,2665,2860,2584,2487,2227,2119,2300,2141,2181,2217,2543,2680,2740,2406,2603,1989,1981,1918,2126,2132,2477,2506,2389,2160,2105,1666,1812,1890,1995,2111,2465,2458,2393,2153,2004,1813,1884,1945,2097,2080,2423,2428,2087,2029,1875,1821,1758,1837,1829,2203,2232,2615,1979,1729,1579,1378,1220,1162,858,895,805,647,608,604,525,419,512,475,393,372,359,362,258,314,291,279,214,229,130,196,175,244,94,100,64,92,64,52,62,58,40]
[148,217,237,240,241,263,339,336,293,386,373,482,566,528,616,715,896,1055,1199,1535,1704,1949,2118,2169,2040,1952,2022,1897,2039,2012,2015,1966,2044,1996,1893,1820,1738,1866,1831,2297,2095,1921,1819,1722,1732,1775,1946,2004,1896,2013,2084,1939,2026,1925,1881,1949,1930,2040,1919,2271,2377,2228,1996,2032,1943,2050,1953,1906,2015,2139,2156,2074,1845,1887,1740,1712,2071,1908,1876,2089,2145,1845,1808,1802,1721,1727,1703,1793,1798,1864,2045,1933,1822,1836,1936,1778,1745,1767,1847,2017,2046,1935,1836,1655,1706,1718,1654,1675,1709,1996,1854,1579,1502,1540,1218,1066,1039,827,754,702,617,543,490,513,451,423,419,339,272,261,313,291,294,324,254,263,237,120,168,94,204,92,80,96,78,68,52,48,52,42]
[220,181,197,204,207,327,237,284,291,360,353,455,417,505,585,676,686,838,927,1069,1246,1370,1389,1454,1612,1547,1421,1498,1541,1449,1509,1528,1542,1602,1517,1458,1444,1485,1461,1543,1569,1513,1748,1437,1426,1399,1436,1514,1562,1603,1529,1593,1491,1524,1598,1444,1562,1668,1650,1706,1694,1788,1724,1567,1658,1570,1570,1611,1748,1719,1847,1750,1682,1618,1496,1458,1442,1528,1515,1974,1472,1569,1571,1463,1498,1469,1531,1521,1440,1517,1550,1532,1653,1614,1365,1516,1545,1363,1487,1525,1326,1536,1386,1510,1504,1453,1362,1312,1393,1401,1279,1324,1206,1072,988,916,979,697,681,573,550,493,585,470,484,362,327,366,258,286,230,200,264,250,228,171,170,178,98,178,100,204,92,60,70,64,66,52,58,42]
[166,143,206,231,147,231,278,322,253,305,373,401,428,400,583,578,538,606,683,811,966,1031,991,1149,1097,1271,1183,1264,1341,1246,1173,1409,1212,1200,1274,1298,1374,1198,1362,1390,1172,1358,1254,1177,1517,1198,1292,1282,1256,1273,1294,1307,1377,1163,1348,1243,1392,1417,1444,1411,1427,1481,1448,1402,1412,1423,1308,1413,1323,1353,1421,1395,1454,1345,1292,1346,1291,1348,1207,1300,1302,1374,1583,1299,1236,1275,1320,1301,1144,1323,1270,1307,1261,1257,1245,1231,1323,1297,1278,1217,1282,1261,1221,1279,1197,1155,1099,1221,1095,1065,1081,983,962,1008,899,867,704,771,562,629,468,479,465,420,414,327,323,327,280,324,304,197,239,160,174,195,215,128,116,157,94,72,84,56,36,54,54,56,72,32]
[136,143,161,155,235,146,208,193,247,306,356,399,390,454,477,466,634,556,548,700,736,869,942,934,961,992,1011,1160,1049,1158,1096,1143,1085,1195,1035,1057,1106,1117,1010,1074,1213,1085,1070,1123,1033,1086,1115,1095,1210,1017,1067,1175,1112,1138,1134,1162,1115,1070,1155,1249,1274,1167,1118,1154,1191,1105,1265,1132,1241,1149,1145,1048,1148,1217,1073,1141,1100,1204,1144,1168,1078,1097,1149,995,1082,1195,1168,1202,1189,1111,1104,1109,1156,1253,1094,1166,1175,1208,1173,1140,1038,1104,990,1070,1059,1087,899,946,937,940,862,794,832,804,752,723,734,574,617,537,408,545,463,317,376,363,346,313,287,195,190,210,220,243,147,211,202,96,92,70,72,58,72,78,70,48,46,36,36,20]
[80,199,190,191,217,224,255,167,201,287,186,327,358,442,361,418,405,425,585,635,714,590,829,801,738,845,850,868,848,876,954,883,876,905,885,959,871,838,882,927,866,982,858,1039,917,931,912,806,816,945,1054,964,832,1002,991,869,945,892,1033,979,1031,961,982,956,956,1008,904,1008,1043,1024,884,902,1006,935,862,900,905,906,912,850,918,988,1016,961,954,979,879,906,1015,848,910,863,943,908,903,973,891,844,949,952,798,882,996,909,816,971,847,813,790,850,738,771,768,708,624,617,632,577,523,498,437,411,406,398,277,318,226,331,309,228,206,219,180,208,122,92,100,86,173,104,92,88,56,56,68,50,44,40,40,44]
[82,90,82,211,197,146,157,235,260,262,274,257,290,310,409,412,501,438,499,510,576,643,645,671,747,742,761,830,859,786,805,860,858,723,829,823,781,867,823,847,708,911,844,779,774,705,821,879,913,688,765,791,831,850,1035,892,864,914,778,861,868,947,985,896,840,819,888,873,959,927,918,820,916,810,780,827,903,817,757,857,869,782,946,784,770,757,833,845,832,763,761,999,833,788,730,736,745,840,879,805,823,846,798,738,753,727,748,698,748,762,678,653,680,645,560,564,428,407,451,431,419,404,412,330,330,364,221,280,238,182,254,205,124,195,126,94,197,80,98,72,88,74,96,50,56,58,42,44,36,60]
[90,168,155,205,141,143,134,260,218,204,291,302,297,362,418,313,385,420,448,463,615,594,518,585,633,621,658,621,698,752,698,762,634,772,782,754,660,776,723,733,764,746,673,751,804,799,721,727,730,758,737,773,778,709,700,707,672,774,799,832,868,878,719,708,774,828,759,784,829,833,840,687,781,783,757,755,761,740,737,759,871,772,757,824,799,631,693,783,790,758,835,757,749,751,852,683,731,714,755,663,747,661,677,748,640,707,604,733,657,666,686,552,591,580,601,446,399,431,443,398,418,311,362,283,286,310,253,294,185,236,158,142,240,152,199,78,74,189,74,70,66,76,66,58,62,50,34,26,38,46]
[74,82,96,127,167,185,236,226,251,201,249,307,297,304,287,352,316,358,297,437,366,489,486,583,488,544,618,569,555,609,660,556,593,613,665,638,669,609,729,685,655,611,699,719,605,617,671,653,661,760,655,639,708,736,711,655,665,646,680,650,740,807,736,768,730,654,723,702,656,725,658,732,819,744,672,656,739,581,667,642,625,694,691,666,584,615,695,638,653,668,545,652,716,662,596,712,686,753,586,597,629,639,674,647,564,607,524,647,571,535,492,522,469,490,432,421,417,399,436,442,321,284,319,310,267,284,248,177,210,190,152,221,202,163,157,203,114,198,70,96,52,48,40,70,40,28,52,28,44,42]
[136,76,92,169,168,78,132,165,191,178,287,216,287,309,256,328,336,327,365,443,465,500,454,460,472,428,637,506,543,607,534,584,566,505,533,546,496,492,558,533,595,603,593,615,526,566,565,498,550,543,629,613,608,496,578,568,640,561,535,656,570,617,597,700,546,617,616,579,680,606,586,544,641,624,566,493,569,545,574,626,588,548,565,619,523,559,481,588,584,462,555,635,577,655,598,588,554,597,554,644,672,631,574,598,647,535,478,467,507,540,468,451,426,444,438,460,397,428,368,353,309,370,275,258,276,249,226,220,240,221,167,191,161,158,117,78,90,148,58,58,66,48,70,44,48,52,38,36,32,36]
[48,82,138,112,168,152,180,166,199,150,201,291,226,247,204,254,331,254,263,283,384,378,411,344,394,389,427,379,386,567,545,523,558,477,460,510,511,474,549,468,509,537,583,456,467,499,496,457,484,544,470,533,483,461,469,467,506,458,561,529,481,569,514,517,584,524,574,542,491,494,519,622,501,542,548,533,435,499,488,491,520,564,470,472,465,464,545,535,472,494,601,504,553,454,492,469,534,665,571,443,563,492,558,593,525,585,526,494,447,483,463,383,417,429,330,393,318,329,301,339,279,241,207,199,191,209,208,222,161,141,137,122,192,181,94,130,66,60,90,72,76,66,62,60,52,26,34,32,36,40]
[72,96,88,80,68,191,140,121,177,148,251,183,216,252,241,239,248,248,313,274,273,287,303,364,426,403,317,381,438,355,451,500,496,429,437,445,437,479,462,416,468,451,482,410,468,548,465,420,395,423,434,428,457,447,448,469,432,473,462,458,520,505,460,437,476,503,460,456,488,538,490,481,445,437,450,421,504,392,514,412,467,449,410,428,498,453,461,493,476,477,419,478,418,477,379,422,431,429,501,483,493,413,498,406,393,400,459,394,362,373,453,372,319,269,306,322,338,235,294,276,310,250,222,286,253,216,200,215,183,207,203,100,181,90,82,60,74,90,64,62,82,36,70,44,58,34,42,40,40,40]
[74,92,70,86,178,189,96,100,185,177,179,158,214,197,220,254,159,285,242,269,298,303,239,256,358,315,254,349,390,379,313,380,400,426,380,446,368,369,380,386,340,407,386,313,357,421,481,383,344,331,374,420,438,430,369,452,391,369,424,407,479,428,515,423,473,389,319,457,430,468,395,449,488,408,414,358,455,352,400,425,430,392,454,421,432,343,428,404,370,427,430,416,430,411,316,405,426,341,409,362,481,365,326,375,393,343,347,367,396,428,376,344,403,323,362,229,315,287,246,257,240,277,256,260,238,195,166,220,148,98,94,220,217,84,98,62,58,84,80,64,62,32,48,44,58,38,64,26,28,32]
[76,94,66,84,94,90,115,188,197,184,176,178,239,150,230,286,176,222,218,198,269,253,342,337,275,257,369,370,345,381,372,375,391,435,396,272,385,464,416,406,433,442,426,325,378,372,363,407,409,399,454,378,335,340,369,321,377,362,347,423,420,438,423,376,374,319,363,422,357,332,359,416,355,399,372,411,354,294,379,311,396,426,328,424,400,367,395,405,347,347,381,468,410,404,383,362,358,364,361,276,310,397,387,415,422,275,410,305,415,368,324,370,329,356,224,296,280,298,254,188,212,166,249,220,192,214,169,164,118,147,94,158,170,80,78,56,76,58,62,52,70,64,66,38,42,36,36,48,28,30]
[70,74,88,92,64,96,90,88,146,100,182,162,218,170,142,164,188,195,219,243,234,295,203,312,283,299,275,242,242,307,322,345,348,310,351,320,261,288,348,311,406,434,286,300,368,365,345,275,375,432,327,366,325,330,339,399,389,294,359,362,343,394,344,375,365,266,334,378,428,341,362,292,262,294,276,346,328,379,286,375,283,304,307,364,281,302,280,300,339,279,336,337,309,354,360,334,321,330,312,278,298,338,286,328,347,313,280,270,255,306,312,325,359,272,280,348,193,237,182,240,222,184,194,238,158,144,197,162,138,154,82,82,92,100,78,86,86,66,60,62,52,38,34,52,42,66,48,44,32,26]
[74,58,84,60,60,68,176,90,160,122,96,167,123,172,159,183,170,204,225,174,254,220,260,272,241,270,293,337,314,299,284,251,323,339,284,248,289,224,237,290,257,308,278,345,336,278,320,256,257,290,230,384,296,334,330,313,300,375,255,349,356,297,357,291,311,340,331,302,271,397,300,280,354,305,281,275,287,286,349,375,423,268,280,240,279,257,301,262,284,277,267,298,337,323,304,310,343,315,319,284,305,333,328,254,346,340,297,306,236,331,303,312,218,289,220,222,196,251,230,203,232,134,146,162,195,229,204,173,168,82,94,172,84,60,88,62,70,76,42,36,30,42,46,66,42,54,40,24,24,20]
[62,50,44,54,68,60,146,86,98,92,82,96,82,100,179,94,207,169,197,248,249,230,212,203,175,136,210,233,257,295,264,251,221,278,308,244,249,219,299,231,236,246,292,291,236,229,303,238,255,308,254,227,284,269,302,233,308,297,260,323,269,304,297,361,296,316,235,292,305,337,199,316,268,239,241,318,253,246,199,271,284,268,310,319,309,260,285,313,268,207,202,277,287,281,276,313,233,317,231,227,284,226,264,182,278,268,224,205,240,223,221,169,282,280,219,258,173,181,227,166,189,120,206,122,181,176,156,94,84,80,96,60,88,80,96,82,78,54,70,66,52,52,50,42,46,20,20,38,24,24]
[62,80,64,52,74,76,54,96,70,74,88,148,78,190,137,189,141,155,148,184,155,150,135,141,194,214,179,187,280,237,222,244,233,214,283,236,309,212,206,225,284,254,212,212,219,205,237,235,302,305,261,249,217,297,296,271,273,207,195,272,261,296,278,280,237,242,223,260,176,332,195,252,235,256,292,301,196,299,265,228,213,245,232,221,211,260,251,260,246,278,208,291,294,298,216,279,290,288,268,195,218,272,246,182,282,214,230,275,255,262,168,213,193,175,177,215,137,169,219,94,170,176,124,160,121,84,82,100,66,88,82,86,68,68,76,68,56,38,38,44,46,38,32,42,48,30,40,44,36,24]
[54,56,56,62,36,64,74,152,68,58,66,86,142,74,153,84,171,82,191,185,114,165,152,187,221,178,205,234,188,205,251,263,202,200,281,185,203,262,259,262,231,264,225,259,316,201,253,196,248,236,260,260,217,259,237,214,245,209,205,204,224,263,247,246,177,190,212,269,223,172,273,243,268,257,255,233,254,206,238,253,172,231,215,261,235,247,193,243,285,242,240,226,248,188,203,170,237,296,234,218,227,224,191,258,238,168,202,184,209,205,201,132,151,193,179,211,100,146,148,197,170,142,163,90,100,78,154,68,92,72,68,54,70,80,84,66,38,58,48,76,52,34,42,38,20,18,38,44,36,14]
[46,48,70,52,44,56,66,56,68,84,74,90,60,90,74,136,84,143,98,204,202,96,225,140,159,171,208,237,264,196,214,240,181,233,241,185,194,264,277,149,200,297,231,147,206,255,178,254,196,259,236,203,264,207,275,210,181,251,198,265,240,247,181,232,236,206,174,209,162,203,280,160,167,251,248,244,239,250,248,233,241,233,240,250,225,251,200,203,182,251,244,271,214,143,219,246,224,248,250,187,172,201,208,178,142,177,228,200,145,211,231,148,165,141,224,212,162,155,187,98,100,187,187,138,125,187,98,52,76,173,64,62,82,66,58,52,72,56,38,70,50,48,40,18,20,38,26,40,36,32]
[46,56,40,46,38,62,62,66,44,48,88,54,58,72,68,90,82,100,158,180,100,178,188,168,133,150,150,90,202,205,202,206,206,152,176,198,137,247,161,238,231,259,202,233,215,263,225,230,233,172,205,196,224,232,186,203,220,232,189,249,165,194,207,183,156,237,230,167,148,167,228,155,191,155,137,220,242,206,175,157,173,208,150,192,194,179,193,239,239,203,202,174,178,224,206,210,179,204,165,152,178,154,187,218,201,172,179,245,169,224,169,207,151,179,188,170,98,100,146,100,90,88,100,80,84,70,74,72,70,52,78,76,64,66,50,50,32,56,48,58,34,30,38,38,42,40,34,36,18,22]
[46,46,58,40,76,66,46,60,60,88,54,70,64,50,70,72,84,72,121,90,94,98,168,96,185,151,88,76,188,183,125,96,199,154,132,148,248,152,190,152,157,191,182,195,188,158,231,161,167,177,162,183,161,210,156,196,190,209,223,132,229,150,150,230,148,226,166,184,224,223,185,184,144,237,161,205,139,202,170,208,169,191,180,166,94,180,250,166,183,209,179,190,197,141,233,205,173,201,203,152,184,167,138,195,174,214,178,129,84,92,146,152,199,72,173,188,153,96,96,82,74,84,78,56,50,80,84,64,70,72,62,88,48,80,68,60,50,60,42,20,32,30,16,54,38,28,24,22,16,32]
[46,18,54,30,48,40,64,44,66,48,66,40,58,56,76,64,78,60,72,92,100,90,58,90,84,130,98,195,72,92,94,98,161,198,213,140,141,183,145,208,237,150,184,149,198,220,217,200,126,140,187,178,131,182,96,184,184,98,209,166,208,147,253,187,187,131,154,176,196,160,82,226,118,183,138,167,219,205,223,199,162,182,133,217,208,204,159,205,218,109,100,193,198,222,208,177,135,172,82,128,167,92,118,166,209,168,96,147,219,92,186,180,184,160,92,88,82,90,140,92,90,70,76,74,66,54,64,68,74,66,74,60,54,62,36,32,52,58,48,30,56,42,44,40,12,40,38,38,44,8]
[40,62,44,48,34,58,60,30,46,48,32,48,68,86,60,76,70,76,72,80,76,82,96,92,86,84,82,76,180,86,177,192,78,207,185,86,76,154,92,100,152,96,111,88,257,172,227,201,165,134,215,96,92,221,98,162,153,168,86,195,139,112,159,110,90,134,139,120,196,140,145,88,191,100,169,94,208,162,170,148,161,209,198,180,144,177,180,154,165,96,136,144,192,139,98,78,143,86,84,147,196,80,94,174,155,86,121,94,80,68,78,76,94,80,199,94,96,92,82,54,86,84,74,60,58,74,58,40,50,48,56,50,48,34,26,44,36,38,36,20,48,30,32,38,32,32,32,22,30,22]
[38,32,48,28,36,66,42,46,54,32,68,58,60,70,48,50,60,74,54,70,50,58,56,66,88,92,64,78,196,88,141,153,191,94,84,98,182,159,155,76,98,164,94,82,96,98,181,155,174,94,123,202,126,140,204,174,191,86,92,160,129,92,113,84,195,134,86,94,100,218,94,98,131,96,92,142,80,80,88,196,131,98,94,134,64,136,78,98,92,156,140,120,143,88,135,94,138,90,84,171,94,142,90,173,96,78,121,62,86,123,94,80,72,80,78,60,58,82,72,54,64,66,38,64,82,60,62,54,50,40,44,56,62,38,30,42,38,20,38,32,24,50,28,30,32,34,16,14,18,24]
[34,40,42,48,26,56,58,30,58,34,40,50,50,56,58,50,54,52,52,84,66,68,56,76,94,58,70,90,84,72,90,86,88,98,184,100,82,96,66,92,68,100,84,149,82,205,98,100,90,94,74,78,90,88,98,90,115,98,109,96,96,80,98,92,84,86,100,146,92,192,100,188,123,80,116,161,96,153,98,68,82,189,72,94,100,94,86,66,100,151,84,199,98,84,72,94,196,94,98,210,86,92,86,92,86,86,94,82,64,84,90,66,76,80,64,54,42,88,68,48,38,74,42,70,78,68,50,34,34,58,38,48,50,50,44,42,48,30,48,50,34,30,18,20,24,26,30,22,24,28]
[40,50,52,30,52,48,40,52,40,30,40,42,50,50,44,58,58,48,60,68,62,72,40,78,56,64,62,50,88,66,70,195,72,82,88,74,88,179,84,88,92,78,88,86,82,197,90,84,70,94,90,84,115,100,78,86,136,136,84,90,96,82,90,68,86,62,68,183,78,66,94,78,90,84,154,141,68,84,52,64,74,96,88,86,92,72,190,74,84,94,82,78,86,70,84,56,82,96,74,88,74,78,68,72,72,74,60,82,58,80,64,58,76,64,90,44,62,44,42,34,50,52,44,46,48,44,42,40,48,30,22,40,38,52,40,42,30,32,30,26,30,26,22,34,26,34,40,14,16,20]
[36,22,60,54,38,56,52,42,60,52,42,48,46,50,40,64,48,36,44,70,60,74,42,56,70,64,78,66,54,64,78,84,68,76,96,84,86,70,86,80,76,66,70,98,68,80,84,90,72,60,82,82,152,74,88,64,66,90,84,74,74,70,76,72,80,84,174,82,108,86,96,78,64,76,76,96,88,100,70,72,78,68,64,98,86,68,62,60,76,76,76,186,78,96,68,50,94,90,84,94,48,80,60,96,54,46,52,58,74,52,54,54,68,52,54,68,52,42,54,58,48,44,66,36,58,68,56,38,40,48,46,56,46,44,38,38,34,48,24,44,20,16,40,26,22,32,14,26,30,24]
[36,46,56,50,28,42,46,54,38,44,52,68,62,36,48,52,54,40,52,42,44,44,50,54,70,58,50,62,48,56,48,52,70,74,94,42,84,56,52,72,80,62,48,205,78,76,84,66,74,70,80,86,70,70,72,70,98,88,88,80,88,70,94,72,84,80,42,74,76,68,84,76,66,92,60,40,64,60,72,72,78,62,56,72,74,74,72,98,90,72,86,92,40,66,76,64,48,60,78,44,82,80,88,70,70,78,74,56,54,56,66,78,58,64,54,62,38,48,54,40,30,42,72,48,34,48,40,64,48,36,38,28,26,28,22,62,16,22,38,30,42,40,36,28,20,20,30,16,20,16]
[46,34,36,42,36,42,56,22,50,62,36,48,44,44,28,44,60,52,42,44,58,56,66,50,38,68,32,62,42,56,48,78,56,76,44,60,80,66,48,64,54,84,72,123,62,52,88,62,72,72,78,72,92,54,60,78,66,58,66,70,54,52,70,76,68,42,66,72,80,76,46,52,78,54,44,52,70,72,84,56,60,64,70,58,82,90,60,86,76,58,56,72,38,76,58,86,56,64,48,60,44,56,64,44,56,60,68,58,54,52,42,42,54,42,54,48,34,56,44,54,60,42,62,28,44,46,36,48,20,22,30,26,30,34,36,32,30,12,32,36,40,40,16,36,46,18,26,14,24,24]
[36,30,26,36,28,36,44,54,36,46,32,30,48,28,36,50,36,70,42,30,40,52,48,44,30,66,48,86,70,64,68,62,76,62,56,72,68,64,72,76,90,66,76,56,62,42,78,58,58,72,80,124,52,72,70,68,48,68,82,62,78,76,72,46,70,76,66,72,56,58,62,54,40,78,76,52,58,64,52,60,48,58,54,72,66,76,70,58,46,54,62,54,42,88,60,56,66,64,48,58,70,50,64,40,66,58,46,64,52,60,58,52,46,68,40,58,52,56,38,40,38,28,36,56,66,44,42,18,40,36,40,34,40,32,30,40,22,38,26,22,38,16,32,14,34,8,18,30,22,34]

{"sheet":"Figure_1D_layer_16","index":16,"n_rows":150,"n_cols":150,"rows_kept":150}
[30,23,18,14,16,31,21,19,15,29,30,30,20,23,22,27,26,20,30,31,35,21,31,29,34,42,50,43,38,46,40,53,41,44,49,54,63,43,60,43,51,63,46,69,59,64,46,48,53,63,46,77,48,75,62,51,52,55,69,66,66,73,64,62,68,74,67,70,63,62,69,62,68,64,66,86,66,64,57,76,66,75,73,75,81,67,65,55,72,74,55,72,50,65,71,53,65,73,71,83,58,67,76,62,74,58,62,74,57,55,68,53,54,84,58,68,57,47,64,65,49,57,36,48,51,60,53,49,40,44,34,44,37,25,34,35,35,25,28,23,27,30,23,20,21,26,20,26,19,21]
[32,22,26,19,28,21,17,25,26,28,20,28,22,28,24,30,27,27,27,32,40,43,35,46,48,32,42,41,42,42,57,64,58,61,58,64,77,63,75,63,75,59,74,75,54,69,65,63,80,65,84,86,74,101,85,76,76,78,77,69,80,74,89,85,81,69,78,74,84,74,70,93,73,70,79,93,63,85,95,81,75,91,86,76,81,70,85,76,65,81,68,95,75,76,73,77,83,83,70,87,80,74,83,78,90,82,72,83,75,75,73,60,91,59,79,63,63,63,52,60,58,53,64,52,51,56,46,35,45,54,54,38,38,38,26,27,39,25,25,33,30,22,21,26,22,34,19,24,14,24]
[24,20,15,26,13,36,24,24,24,24,24,31,25,22,27,39,28,40,36,35,48,48,41,37,40,55,50,46,64,72,58,56,63,65,81,67,83,67,68,79,76,67,83,79,69,93,97,64,95,92,89,87,75,86,95,78,84,120,103,83,81,99,105,83,96,93,88,95,90,94,84,90,98,85,103,100,94,82,84,94,84,66,83,102,79,95,92,91,98,89,81,96,92,91,91,119,85,93,88,112,85,107,107,94,82,88,69,78,98,71,78,93,88,78,75,81,78,80,93,65,56,74,61,63,59,65,51,51,33,47,41,47,55,30,45,43,35,36,34,36,33,32,23,26,33,21,20,26,24,15]
[20,23,24,25,22,24,20,20,21,25,36,31,35,33,18,35,44,42,38,41,34,42,53,69,50,67,62,71,74,73,76,75,79,71,81,92,92,89,107,80,80,75,96,103,96,102,92,104,103,108,98,79,99,113,97,104,97,102,104,116,117,118,90,111,102,103,105,115,118,120,102,107,126,98,82,109,101,114,109,99,111,114,98,108,102,107,112,101,96,100,137,103,110,107,106,97,101,144,127,109,105,129,94,106,103,91,103,88,91,95,107,98,89,82,88,71,78,89,77,77,69,80,61,61,78,64,60,70,49,56,57,46,39,40,45,31,28,22,23,22,36,19,33,24,33,34,24,22,22,26]
[23,20,22,27,26,24,17,23,23,27,21,28,36,33,28,39,31,47,47,57,59,68,68,61,51,93,78,52,73,71,74,100,86,99,113,99,117,112,116,105,114,123,100,100,101,96,105,115,107,99,122,114,105,124,124,122,104,123,131,130,106,144,137,140,111,97,133,122,120,113,119,127,122,117,124,125,152,125,128,131,131,118,119,118,106,115,123,118,139,121,127,121,137,138,113,142,128,121,145,107,165,113,139,121,120,117,130,112,130,111,124,106,99,103,102,97,98,71,104,92,99,72,87,79,65,53,45,63,52,63,52,49,45,35,42,44,29,40,30,29,27,28,24,25,24,25,33,15,14,21]
[23,22,24,21,27,25,28,23,22,30,32,29,30,32,40,33,48,45,54,42,67,78,81,78,77,87,74,86,83,121,100,80,94,111,113,113,113,121,131,123,111,124,130,133,129,122,116,129,149,137,106,139,135,130,121,141,141,118,129,145,137,147,146,141,143,141,178,140,146,139,111,143,136,136,144,138,139,127,138,134,156,134,141,144,142,134,154,158,119,140,123,151,145,135,134,134,125,161,144,154,154,142,142,165,137,130,137,140,126,124,150,113,125,127,123,133,118,124,102,116,90,92,107,83,84,69,63,67,51,61,62,47,46,44,46,48,37,25,32,41,28,43,42,29,28,24,21,24,27,19]
[21,19,17,18,22,22,19,35,32,30,43,36,38,53,45,46,61,62,64,87,68,75,79,81,91,121,90,97,108,105,107,116,166,119,122,140,131,157,153,180,121,138,161,151,142,143,164,130,174,146,156,147,154,156,181,135,164,159,146,172,179,167,167,162,161,140,174,166,159,196,178,153,171,202,172,163,148,188,164,162,165,154,167,182,179,170,143,168,165,169,177,175,183,178,174,179,139,146,182,167,147,161,166,179,173,171,179,163,144,148,132,148,153,125,139,147,129,111,119,106,95,87,92,92,87,78,77,75,82,67,73,49,43,50,57,41,48,33,44,38,23,26,31,40,16,25,27,19,27,19]
[30,17,19,24,25,28,23,33,34,33,31,46,46,35,44,45,62,47,61,70,90,88,84,113,84,108,127,122,117,128,123,126,137,149,153,181,133,166,140,175,180,149,184,151,154,180,170,175,171,191,171,153,177,156,179,167,189,174,192,156,170,171,194,172,175,175,169,191,197,186,206,179,251,176,177,179,185,171,184,163,192,178,179,193,162,200,193,184,156,185,175,197,187,177,171,197,155,200,184,193,190,183,173,199,190,175,209,155,165,195,137,185,157,151,143,151,144,144,104,134,128,109,107,107,89,95,96,94,72,72,77,62,55,50,41,50,40,31,27,31,28,35,37,37,35,32,31,28,34,22]
[34,37,13,22,34,26,31,44,41,48,42,44,52,45,70,53,72,86,88,84,76,96,110,112,108,110,149,135,146,121,172,173,148,160,181,177,197,179,207,174,189,163,190,205,176,218,206,215,219,176,181,201,200,186,199,227,214,183,215,195,224,188,219,210,179,191,211,216,237,216,219,241,173,218,217,281,201,193,236,198,177,209,205,210,180,205,216,209,230,207,191,204,208,219,185,191,191,204,209,218,205,206,206,173,218,182,209,183,182,179,193,192,198,177,163,155,168,130,138,131,138,128,126,123,100,89,92,104,88,81,74,75,78,69,55,45,43,30,36,36,40,24,34,34,27,27,26,20,20,22]
[28,31,27,23,37,36,43,37,37,34,40,38,61,47,84,68,71,75,87,94,114,113,129,148,131,132,158,156,191,170,170,208,184,176,188,215,224,235,213,204,202,255,205,190,207,188,210,228,203,211,245,219,223,230,245,243,239,229,244,234,200,243,208,249,224,233,221,259,276,221,242,252,225,247,225,245,214,249,330,206,240,278,241,235,238,253,217,255,248,245,243,230,215,250,217,238,214,253,262,225,260,238,210,220,224,195,227,229,204,206,228,182,192,210,199,225,196,145,153,178,150,150,116,107,112,133,123,98,92,90,77,78,70,68,62,53,41,52,47,33,38,30,29,36,41,33,27,26,27,27]
[29,18,30,35,37,32,45,34,38,41,45,65,70,64,62,75,81,78,108,97,99,127,123,154,156,136,169,182,210,191,185,205,219,213,225,211,220,247,241,233,204,233,225,222,278,216,269,271,227,235,216,246,239,231,266,245,265,274,268,247,263,257,272,246,235,270,253,266,261,261,246,250,288,278,254,249,261,249,254,284,251,330,266,277,237,257,269,286,285,270,250,302,276,257,266,276,257,265,265,266,250,293,281,265,273,241,250,258,234,279,248,247,212,229,208,186,200,198,233,173,186,189,139,144,133,117,128,115,97,90,74,89,57,57,44,46,46,42,40,43,39,28,28,25,41,33,36,27,21,26]
[30,37,28,40,42,35,34,39,40,61,50,63,69,80,71,86,93,116,118,125,129,134,162,156,167,173,207,221,210,202,198,239,248,256,237,269,253,286,263,230,270,260,298,282,270,262,299,353,272,302,267,279,302,274,296,266,317,310,297,267,323,313,279,287,324,286,316,306,332,298,313,335,299,286,300,270,301,289,319,307,260,339,315,289,356,269,317,335,310,324,329,342,343,288,307,319,292,328,297,303,290,295,289,287,249,317,302,279,270,265,254,266,271,221,227,257,247,227,207,185,179,228,159,160,145,138,134,136,113,98,90,96,75,52,52,52,56,52,46,44,38,32,38,30,27,27,35,19,26,27]
[40,29,28,27,39,37,38,48,52,57,69,75,113,91,95,100,96,102,116,115,152,155,177,169,196,217,201,215,243,237,266,257,281,258,270,263,306,317,261,308,323,296,307,324,286,299,319,342,311,375,296,302,322,333,306,306,364,311,326,338,287,352,331,324,358,325,320,337,336,326,318,325,375,336,302,312,353,328,359,335,313,334,351,358,349,335,356,424,343,332,328,332,350,346,333,371,324,361,350,355,362,359,354,297,318,344,308,295,312,281,284,281,269,299,268,256,216,255,232,230,211,176,175,157,171,139,141,121,161,123,91,75,87,70,62,52,64,48,47,50,31,40,30,33,33,35,28,25,22,25]
[30,37,41,34,46,43,50,48,57,60,77,81,98,94,110,84,106,149,145,190,152,166,191,224,208,225,251,233,279,278,311,275,327,343,331,327,369,328,355,334,326,318,337,349,365,327,349,363,377,376,325,367,359,355,370,403,458,394,381,360,360,372,344,398,376,372,428,404,386,373,389,355,352,382,395,400,406,344,357,348,396,399,341,379,393,396,406,382,416,367,385,403,367,413,465,390,383,406,351,385,374,394,387,384,386,366,337,342,386,345,342,331,291,299,297,285,281,264,268,233,229,219,220,202,185,172,150,145,160,119,108,108,67,72,73,67,47,44,41,53,51,37,33,38,43,37,25,25,23,24]
[28,24,31,33,43,53,47,58,62,64,59,81,85,107,120,139,135,151,172,169,198,208,264,207,246,245,305,320,285,305,301,312,351,329,357,359,379,408,379,351,379,370,407,401,398,387,396,381,390,382,398,386,376,360,400,411,416,428,433,455,424,389,403,401,405,375,440,426,465,386,381,386,424,414,396,428,435,424,437,400,393,396,424,452,441,446,417,407,468,382,417,399,451,445,434,420,521,436,493,431,377,447,401,382,431,409,379,396,354,365,355,354,305,310,324,309,330,285,269,271,257,239,211,193,185,171,171,148,138,116,122,106,104,84,96,66,64,67,44,37,38,44,36,34,28,25,27,24,32,31]
[43,29,36,47,51,47,55,69,50,72,76,89,101,128,109,159,165,166,175,193,204,221,234,270,273,362,309,336,323,378,362,398,372,408,377,424,414,415,457,461,430,451,393,423,430,431,462,475,456,409,451,447,414,418,472,471,484,451,428,528,483,459,534,463,519,452,470,490,506,428,497,456,434,467,469,418,482,488,454,463,430,486,463,458,486,469,490,519,505,481,476,448,418,486,469,480,479,510,468,554,445,453,491,432,449,477,448,435,453,418,393,366,397,335,352,339,320,347,311,288,263,270,248,218,206,188,178,185,142,137,145,106,107,95,71,63,76,63,55,57,52,51,45,36,39,34,32,22,34,27]
[29,32,43,55,55,65,78,65,71,93,95,113,118,141,165,182,180,196,189,227,200,278,265,283,376,351,398,362,426,392,426,403,457,499,488,461,504,470,460,504,420,458,506,542,515,568,529,537,482,510,477,482,529,538,515,556,573,505,543,534,587,507,532,585,507,638,530,547,591,571,546,531,551,558,519,538,551,520,546,550,537,505,539,528,566,561,513,582,516,527,525,510,514,537,595,573,540,536,580,503,498,526,578,493,510,487,530,519,526,445,436,424,410,393,421,424,340,382,351,331,324,269,270,228,219,217,165,172,172,164,134,105,93,108,85,72,82,76,59,52,45,42,34,46,38,34,40,35,40,39]
[47,43,44,44,59,56,68,84,74,89,109,100,125,140,172,171,181,229,218,235,269,276,298,322,387,333,392,387,428,437,557,471,497,520,519,486,495,495,511,477,493,502,546,508,552,537,566,563,587,527,542,550,572,598,604,545,549,589,582,551,565,575,599,562,606,594,609,599,725,571,547,611,606,559,555,584,636,606,589,616,607,603,579,621,575,630,621,589,604,577,583,585,584,608,605,587,536,574,569,592,526,562,551,530,550,698,553,533,534,491,495,490,454,479,434,479,418,411,391,346,349,320,283,277,264,210,222,188,194,163,131,151,126,99,106,78,82,79,64,54,46,37,53,39,44,41,39,32,29,22]
[49,43,38,59,60,73,53,80,94,111,104,107,142,182,195,193,213,216,265,264,285,344,382,341,411,455,438,433,463,450,499,536,557,636,575,592,553,586,593,594,542,632,637,619,589,630,615,626,555,638,615,655,614,629,650,613,636,690,703,608,626,652,689,642,637,701,677,669,629,619,624,795,646,683,670,679,676,676,672,641,628,630,653,621,646,651,721,619,652,648,628,616,626,684,649,663,695,621,613,654,614,640,606,650,597,579,610,588,699,553,541,566,493,540,486,477,484,439,416,361,358,304,332,316,264,275,242,204,209,157,158,147,140,101,109,73,80,70,68,49,57,48,50,59,40,44,23,42,29,31]
[37,56,43,61,48,52,79,77,87,110,121,141,166,181,207,216,238,275,274,317,323,355,400,394,402,475,510,512,554,541,545,605,600,588,623,654,759,603,725,627,596,657,649,760,679,708,671,665,687,650,689,692,674,688,707,713,746,721,722,684,734,710,703,760,754,810,737,732,736,741,749,719,763,913,702,727,738,744,662,736,700,725,737,751,739,690,753,699,709,664,717,748,745,724,700,743,741,714,740,731,705,662,684,675,686,646,664,711,659,634,647,741,632,559,644,550,537,470,465,442,392,378,353,343,260,271,256,237,197,192,173,131,142,120,109,95,90,73,72,64,71,53,54,27,47,42,52,38,32,37]
[43,42,50,60,70,67,72,95,105,107,134,160,164,219,195,243,263,320,286,342,334,411,448,451,515,521,587,636,590,614,643,606,650,694,731,763,702,720,703,819,710,687,725,721,716,736,768,758,749,724,730,719,757,788,813,801,820,819,752,784,776,835,828,864,828,834,865,834,860,813,816,856,809,830,807,799,976,856,769,769,792,815,833,831,817,783,797,760,810,763,757,797,823,785,827,788,875,846,872,729,766,767,837,802,824,752,747,693,744,703,710,701,709,599,763,591,572,542,541,457,430,409,410,347,341,310,288,260,223,227,195,160,152,138,112,115,98,78,68,73,61,60,55,51,45,41,42,32,48,35]
[58,44,64,54,59,78,93,110,106,122,152,174,180,224,238,240,282,316,363,399,429,416,471,524,560,650,656,661,652,690,729,757,779,814,783,787,840,818,852,787,774,794,999,855,848,803,844,932,870,867,843,892,914,919,898,870,910,990,924,852,838,895,938,920,900,914,883,982,900,931,894,906,953,921,953,904,949,919,923,1078,865,917,908,934,921,901,939,908,878,888,908,889,886,911,962,931,918,909,907,854,914,872,894,889,829,918,870,810,820,820,809,743,718,729,711,642,791,629,544,532,488,477,424,381,370,352,323,295,233,206,179,179,180,148,98,105,105,117,71,83,66,66,72,51,42,42,30,40,45,38]
[45,40,66,61,72,85,82,101,138,121,152,165,174,257,248,270,300,353,371,442,483,532,534,588,654,645,694,733,808,806,801,798,868,893,904,956,855,893,1008,866,887,953,992,968,977,1132,1029,941,943,977,885,1014,982,996,988,1002,1013,1013,982,980,982,971,1017,1030,1049,1095,1017,994,1027,1007,974,1011,1027,1083,1041,1051,985,1039,1010,988,1018,985,1239,1006,1044,1006,1042,1038,952,1054,997,1032,1026,1037,990,1038,1059,977,974,916,948,986,978,990,974,923,977,967,912,901,900,892,863,887,809,829,706,692,637,645,672,526,475,438,394,377,314,288,261,223,214,180,169,143,129,119,106,102,86,78,83,56,58,56,55,45,40,31,31,39]
[54,55,52,70,85,89,97,109,117,145,199,191,184,207,267,298,333,343,405,460,517,540,585,662,642,720,793,773,832,833,851,916,960,939,1040,979,993,977,981,1028,884,1006,1024,1048,1046,1065,1095,1029,1244,1021,1026,1024,1077,1127,1078,1077,1121,1122,1132,1098,1067,1084,1102,1124,1116,1171,1102,1140,1134,1115,1156,1115,1085,1175,1111,1078,1096,1082,1144,1098,1077,1081,1132,1105,1150,1321,1078,1108,1075,1082,1016,1115,1106,1142,1094,1092,1090,1090,1138,1077,1056,1104,1096,1137,1056,1051,1053,1064,971,937,969,935,946,890,877,827,829,783,672,642,576,555,595,474,408,398,368,307,287,237,222,200,159,155,151,130,97,114,89,86,78,87,62,64,51,64,44,47,39,29]
[60,70,67,69,82,110,110,106,140,125,167,178,220,312,270,295,374,395,459,516,572,597,658,765,777,793,866,883,896,906,938,990,1017,1052,1097,1042,1121,1087,1098,1120,1115,1071,1034,1192,1129,1127,1171,1179,1150,1196,1094,1362,1195,1189,1183,1232,1247,1221,1145,1128,1225,1241,1220,1215,1309,1259,1181,1203,1286,1160,1239,1224,1264,1241,1270,1212,1301,1203,1214,1171,1199,1213,1225,1261,1219,1302,1194,1187,1435,1198,1202,1221,1245,1195,1201,1219,1178,1198,1217,1123,1180,1154,1255,1173,1228,1176,1104,1117,1090,1065,1048,1117,1048,1024,1045,963,875,880,797,723,653,602,561,495,481,496,372,331,272,268,251,213,155,177,163,125,117,110,105,90,71,82,62,66,55,62,43,47,53,38]
[47,66,70,67,87,111,113,146,139,162,164,230,226,231,283,299,397,492,514,523,593,676,783,792,850,859,931,1037,994,1015,1092,1099,1183,1244,1230,1179,1235,1180,1224,1159,1103,1223,1281,1310,1276,1223,1268,1266,1275,1309,1231,1253,1342,1374,1666,1292,1351,1379,1442,1277,1310,1324,1420,1412,1428,1428,1386,1353,1351,1244,1319,1328,1405,1365,1444,1408,1470,1402,1358,1302,1342,1281,1432,1369,1411,1414,1388,1337,1372,1296,1310,1602,1414,1421,1367,1395,1362,1368,1300,1330,1244,1326,1391,1389,1318,1355,1276,1292,1226,1227,1194,1148,1162,1096,1035,1001,1020,882,847,717,705,637,590,503,464,436,394,373,326,342,228,237,201,172,152,146,134,102,109,107,97,86,80,69,59,53,54,52,35,29]
[59,67,69,89,91,96,124,142,147,177,175,213,249,271,324,352,392,451,494,589,795,763,837,935,995,1007,1032,1060,1121,1160,1107,1216,1315,1347,1376,1444,1347,1359,1311,1344,1277,1316,1400,1368,1400,1469,1353,1413,1315,1280,1402,1368,1461,1428,1554,1524,1474,1748,1419,1363,1436,1398,1538,1601,1520,1559,1537,1504,1479,1440,1460,1521,1546,1550,1601,1596,1554,1479,1540,1518,1435,1505,1490,1519,1606,1553,1605,1472,1456,1397,1413,1443,1595,1555,1805,1531,1483,1456,1475,1434,1319,1451,1461,1506,1559,1446,1399,1409,1360,1319,1247,1253,1289,1245,1255,1199,1093,965,909,849,723,734,625,578,509,486,395,360,354,287,292,263,272,217,177,170,152,137,126,87,103,86,91,66,65,56,52,33,32,50]
[75,69,92,84,100,117,109,127,132,155,200,202,246,286,327,361,378,468,537,618,707,823,1168,1050,1156,1178,1222,1219,1195,1217,1331,1307,1441,1562,1519,1575,1406,1383,1455,1335,1354,1422,1475,1588,1559,1572,1518,1516,1423,1522,1428,1519,1650,1669,1730,1699,1618,1620,1555,1500,1857,1618,1693,1730,1848,1818,1672,1632,1615,1537,1556,1777,1705,1829,1839,1891,1852,1681,1607,1636,1619,1712,1695,1725,1818,1700,1631,1624,1591,1588,1507,1647,1658,1665,1718,1702,1568,1934,1547,1536,1606,1563,1603,1746,1768,1688,1548,1509,1462,1428,1472,1446,1469,1497,1487,1325,1211,1109,997,875,784,722,629,570,547,550,490,418,382,324,320,272,221,208,247,166,142,151,123,94,93,81,85,69,69,75,53,59,56,46]
[77,75,93,75,105,102,125,126,181,189,191,239,288,300,348,412,456,476,580,665,769,910,1040,1298,1316,1774,1428,1394,1328,1366,1324,1490,1565,1767,1923,1868,1644,1585,1602,1543,1515,1564,1668,1815,1802,1786,1733,1595,1524,1570,1582,1726,1744,1982,2055,1915,1782,1653,1581,1659,1628,1812,1782,2550,1976,1874,1928,1858,1792,1688,1794,1782,1958,2189,2299,2204,2023,1948,1825,1738,1792,1851,1978,2004,2117,2052,1924,1768,1765,1634,1790,1773,1883,1904,2099,1976,1794,1784,1677,1669,2009,1680,1846,1941,2013,1924,1795,1670,1533,1584,1516,1615,1696,1827,1828,1689,1391,1159,1099,966,879,737,698,586,574,544,519,450,421,349,302,286,261,208,183,196,157,140,131,110,110,89,83,78,56,64,57,60,49,38]
[84,77,101,122,124,131,148,154,179,213,236,278,315,402,418,479,517,637,713,913,1050,1303,1555,1742,1809,2051,1709,1512,1479,1562,1587,1842,1995,2104,2097,1896,1752,1653,1618,1729,1724,1922,2137,2207,2156,1949,1879,1731,1675,1703,1800,2037,2247,2281,2188,2092,1993,1758,1772,1787,1835,2027,2232,2808,2266,2163,1975,1806,1812,1876,2007,2178,2475,2562,2429,2333,2132,1924,1920,1891,2026,2260,2482,2486,2293,2164,2051,1891,1800,1815,1917,2090,2272,2414,2287,2132,1906,1821,1723,1778,2332,2257,2264,2420,2114,2038,1855,1700,1649,1664,1799,1892,2196,2067,1875,1603,1393,1238,1067,930,803,776,695,579,544,535,478,396,393,319,291,236,239,190,191,154,156,146,103,112,88,72,68,67,60,54,45,68,60,56]
[70,72,93,105,129,119,101,154,166,232,221,244,279,332,380,423,475,548,678,812,1027,1293,1705,1939,2300,2335,2135,1934,2068,1666,1820,1879,2191,2379,2572,2587,2276,2148,1856,1741,1819,1985,2196,2457,2579,2506,2313,2153,1959,1841,1891,2094,2418,2775,2824,2737,2621,2261,2085,2028,2011,2285,2504,2784,2962,3384,2632,2354,2113,2050,2124,2404,2762,3116,3248,3038,2709,2415,2308,2202,2211,2363,2627,2791,3009,2734,2570,2375,2134,2019,2075,2255,2561,2625,2874,2761,2545,2271,2035,1965,1988,2257,2514,3259,2808,2639,2269,2064,1914,1862,1897,2009,2339,2515,2602,2309,1950,1659,1441,1174,1016,866,761,692,629,606,554,501,414,397,355,295,278,205,191,192,161,146,132,108,108,118,100,72,64,59,77,62,48,48]
[76,86,107,106,127,120,123,155,190,208,233,257,307,351,383,424,497,584,745,788,1071,1486,1894,2466,3143,3404,2835,2421,2143,2006,1962,2567,2551,2976,3312,3320,2978,2454,2223,2072,2086,2271,2554,2984,3300,3284,2833,2497,2266,2087,2270,2371,2726,3218,3700,3606,2983,2739,2387,2226,2376,2530,2855,3328,3850,3621,3202,2815,3064,2358,2483,2721,3038,3635,4153,3791,3351,2841,2597,2610,2636,2835,2960,3530,3886,3671,3163,2692,2372,2326,2359,2462,2681,3372,3862,3396,2895,2583,2379,2281,2347,2512,2828,3352,3781,3659,3573,2531,2227,2200,2202,2347,2680,3222,3588,3243,2403,1918,1601,1315,1090,977,824,678,671,631,584,453,405,381,372,316,310,229,207,188,176,151,135,113,120,102,62,112,70,75,68,58,51,43]
[78,76,89,117,120,148,166,157,182,203,257,274,330,378,400,461,520,606,694,826,1119,1539,2007,2837,4310,4717,3401,2805,2358,2118,2144,2198,2548,3177,5110,4310,3418,2773,2388,2248,2203,2394,2696,3472,4580,4377,3445,2782,2465,2341,2300,2603,2856,3834,4696,4771,3683,3020,2643,2445,2530,2655,3010,3771,4800,4815,3731,3181,2676,2557,2674,2844,3712,4277,5210,4814,3785,3255,2865,2778,2753,2886,3178,4132,4976,4595,3564,3019,2741,2478,2553,2672,3140,4084,4794,4309,3196,2884,2512,2467,2515,2747,3048,3821,4811,4406,3280,2926,2440,2657,2310,2519,2772,3890,4759,4069,2717,2210,1823,1482,1093,1007,830,731,666,563,555,502,492,385,370,331,263,254,210,194,182,171,163,133,114,119,101,102,70,73,66,70,49,55]
[88,85,95,113,129,126,165,162,184,207,248,277,318,384,423,497,543,628,639,871,1007,1447,1785,2536,3699,4370,3320,2599,2317,2132,2011,2101,2371,2841,3882,4249,3491,3321,2474,2097,2101,2275,2482,3153,3971,4120,3367,2909,2520,2255,2190,2442,2818,3530,4610,4353,3430,2852,2573,2422,2311,2558,2888,3623,4552,4659,3621,3172,2723,2495,2483,2693,3063,3731,5019,5732,3742,3152,2924,2630,2710,2723,3017,3689,4814,4525,3563,3011,2707,2443,2400,2637,2983,3566,4710,4195,3279,3053,2587,2347,2360,2617,2981,3599,4521,4198,3522,2899,2451,2267,2094,2298,3354,3644,4171,3649,2673,2175,1884,1482,1157,1042,850,800,706,613,585,532,429,408,367,294,269,292,211,215,154,128,170,130,113,80,103,86,82,62,65,69,63,65]
[74,84,104,146,130,150,144,179,218,240,253,278,338,358,407,522,613,666,706,857,1025,1354,1569,2048,2708,3004,2642,2394,2113,1862,1869,1928,2181,2531,2949,3102,2825,2539,2304,2060,2367,2166,2239,2692,2997,3123,2814,2456,2325,2147,2002,2256,2563,2891,3329,3433,3173,2724,2523,2226,2100,2315,2539,3020,3468,3497,3189,2867,2573,2358,2316,2422,2948,3341,3802,3814,3412,3117,3338,2544,2463,2505,2898,3143,3697,3659,3294,2876,2735,2398,2312,2439,2676,2987,3483,3477,3162,2764,2450,2236,2174,2345,2569,2922,3456,3307,3006,2737,2402,2072,2074,2093,2272,2572,2969,3526,2399,2166,1870,1540,1207,1055,934,816,726,652,581,487,438,378,349,341,275,257,252,219,175,160,161,135,129,99,101,73,79,69,72,69,54,57]
[87,88,109,103,123,143,204,180,213,229,259,288,338,394,462,499,592,641,772,890,1017,1170,1343,1748,2127,2328,2399,2089,1905,1810,1789,1749,1984,2361,2625,2651,2654,2432,2164,1930,1890,1945,2079,2810,2679,2824,2726,2307,2156,2088,1951,2048,2278,2716,3000,3033,2950,2520,2389,2252,2149,2119,2346,2614,2983,3249,2942,2763,2455,2299,2123,2355,2609,2924,3431,3361,3257,2946,2688,2620,2390,2959,2610,3036,3183,3316,3131,2663,2575,2393,2219,2261,2444,2911,3062,3087,2924,2598,2431,2197,2098,2109,2418,2700,2995,3015,2818,2475,2272,2139,1925,1980,2006,2331,2633,2689,2420,1929,2044,1459,1223,1123,872,805,731,673,571,531,507,420,385,366,328,251,233,223,190,171,188,150,116,104,104,88,85,79,62,72,42,58]
[112,99,109,110,133,138,180,203,219,280,269,313,319,399,484,494,577,680,775,919,971,1124,1206,1574,1899,2024,1893,1706,1758,1819,1854,1879,1950,2154,2395,2313,2398,2175,2104,2166,1957,1909,2033,2195,2372,2414,2960,2121,2147,2108,2092,2052,2149,2351,2660,2795,2543,2309,2282,2244,2076,2179,2243,2437,2794,2772,2650,2253,2334,2273,2265,2243,2341,2632,2962,3008,2740,2565,2538,2524,2372,2347,2373,3150,2925,2944,2692,2504,2443,2421,2328,2344,2336,2614,2917,2788,2534,2400,2426,2271,2208,2152,2189,2473,2682,2627,2506,2286,2244,2119,1981,1902,1940,2191,2285,2398,1891,1657,1551,1368,1189,1218,888,806,730,643,639,535,490,409,392,336,281,274,241,229,211,180,166,151,160,120,95,104,90,89,75,73,61,52]
[90,95,100,119,142,164,177,199,195,253,304,304,453,452,470,510,605,683,844,909,1051,1163,1354,1595,1724,1800,1798,1683,1685,1929,1961,2052,2036,2161,2231,2179,2154,2064,2065,2140,1988,2069,2146,2190,2440,2378,2272,2249,2137,2542,2170,2229,2155,2448,2556,2520,2361,2272,2306,2311,2201,2281,2316,2614,2734,2655,2466,2367,2241,2365,2389,2277,2408,2581,2827,2888,2581,2433,2459,2533,2518,2479,2547,2646,2868,2812,3139,2461,2345,2553,2447,2320,2458,2513,2702,2732,2578,2394,2381,2446,2389,2269,2268,2450,2538,2586,2363,2211,2201,2162,2240,1937,2076,2158,2168,2131,1805,1663,1468,1439,1249,1079,943,854,949,701,645,557,510,426,357,329,295,285,268,237,197,184,177,161,131,117,110,100,86,94,78,70,53,64]
[91,119,132,126,141,170,166,199,246,277,275,346,383,421,580,516,647,730,839,993,1125,1246,1475,1685,1822,1912,1769,1733,1785,1830,1918,1989,2053,2408,2459,2416,2141,2038,2143,2186,2075,2124,2291,2415,2468,2645,2411,2228,2221,2215,2289,2176,2798,2546,2584,2542,2406,2289,2256,2366,2321,2331,2492,2704,2740,2836,2506,2420,2355,2363,2392,2365,2411,2646,2781,2689,2661,2368,2339,2448,2525,2412,2608,2821,2934,2941,2746,2500,2392,2945,2483,2406,2611,2744,2918,2745,2606,2444,2319,2448,2314,2327,2430,2536,2710,2631,2341,2161,2173,2112,2120,2124,2141,2296,2385,2102,1814,1635,1506,1408,1228,1052,1002,893,812,701,810,561,532,460,412,401,304,285,258,241,209,187,161,150,154,104,107,92,76,86,69,83,53,56]
[69,108,132,128,164,172,180,201,247,276,293,334,363,432,487,524,617,849,916,973,1215,1414,1742,1980,2134,2085,2071,1833,1826,1872,2013,2128,2378,2633,2704,2544,2509,2262,2103,2172,2173,2111,2374,2681,2861,2673,2582,2453,2230,2284,2309,2301,2400,2798,2769,3379,2692,2327,2419,2338,2398,2424,2701,3005,3129,2843,2744,2431,2393,2313,2292,2403,2657,2916,3023,2938,2789,2659,2450,2458,2573,2590,2908,3106,3160,3242,2943,2608,2503,2498,2454,2567,3394,3027,3174,3031,2889,2523,2421,2465,2407,2503,2693,2754,2773,2703,2557,2325,2208,2281,2213,2189,2428,2591,2657,2468,2139,1801,1692,1519,1335,1136,1033,901,844,750,653,657,498,615,433,371,348,329,251,254,214,179,173,172,138,128,112,124,103,93,75,78,62,62]
[101,114,146,144,168,158,185,198,275,272,307,377,401,444,471,602,637,746,893,1029,1588,1705,2085,2369,2674,2734,2305,2209,2048,1883,2044,2365,2546,2861,3033,2948,2658,2367,2382,2204,2255,2305,2690,2935,3151,3117,2771,2485,2414,2424,2423,2509,2700,2997,3177,3179,2772,2493,2930,2354,2540,2656,3116,3360,3555,3423,2899,2717,2380,2442,2454,2588,3006,3303,3319,3416,2980,2767,2609,2546,2702,2849,3336,3614,3850,3650,3244,2959,2662,2655,2747,2878,3222,3467,3628,4023,3047,2751,2696,2647,2685,2812,3073,3209,3348,3093,2890,2662,2473,2275,2449,2587,2741,2975,3163,2919,2408,2089,1811,1643,1385,1224,1053,920,855,817,692,614,588,510,424,399,403,293,287,251,228,193,190,173,132,121,139,102,88,101,73,70,66,57]
[99,121,129,163,191,210,180,233,266,294,365,364,407,444,541,567,704,751,878,1131,1387,1838,2353,3701,3810,3440,2953,2677,2382,2259,2325,2681,2977,3611,4079,3809,3147,2805,2536,2425,2439,2759,3156,3733,4255,3996,3152,2984,2645,2605,2619,2824,3089,3469,3963,3784,3309,2881,2659,2532,2551,3526,3378,4191,4794,3989,3354,2976,2664,2466,2696,2975,3180,3853,4395,3958,3256,2968,2795,2720,2899,3213,3655,4310,4743,4153,3537,3184,2885,2756,2837,3245,3625,4163,4639,4140,3536,3145,3411,2643,2797,2874,3297,3957,4279,3560,3159,2766,2542,2509,2788,2960,3136,3816,4171,3502,2760,2451,2105,1650,1363,1200,1048,975,889,758,740,631,597,487,474,420,326,306,264,283,218,207,177,166,139,139,94,85,93,88,87,74,63,56]
[101,111,143,143,170,179,195,198,257,312,352,381,443,497,545,642,696,767,916,1143,1381,1833,2286,3252,4449,4688,4127,2786,2421,2467,2493,2746,3199,4112,4890,4510,3487,3085,2665,2509,2585,2675,3189,4247,5095,4665,3787,3195,2844,2714,2712,2889,3378,3995,5026,4573,3705,3266,2833,2804,2766,3019,3559,4616,6725,5021,3755,3249,2761,2632,2801,3032,3209,4281,5113,4688,3646,3182,3059,2870,3043,3346,3828,5001,5955,4972,3979,3413,2975,2921,3059,3420,3700,4820,5570,5082,3808,3282,2911,2895,2935,3758,3551,4545,5172,4456,3679,3038,2808,2676,2771,2948,3340,4661,5036,4075,3159,2632,2186,1758,1443,1244,1069,931,941,799,698,663,532,516,438,378,361,304,267,250,229,203,196,165,154,138,113,94,93,102,74,80,71,56]
[119,110,142,157,156,183,207,233,238,273,317,371,431,452,497,569,654,808,900,1019,1308,1592,1994,2778,3903,3843,3243,2743,2436,2618,2314,2457,2818,3493,4153,3989,3357,3027,2746,2451,2446,2663,2953,3787,4538,4337,3536,3042,2721,2395,2475,2824,2939,3656,4319,4198,3394,3176,2856,2633,2560,2885,3257,4171,4927,4616,4260,3102,2824,2460,2561,2758,2984,3863,4456,4231,3481,3111,2793,2770,2770,3023,3318,4291,4838,4559,3802,3224,2919,2752,2816,3026,3356,4169,4637,4462,3819,3323,2908,2770,2709,2968,3136,3652,5311,3990,3264,2942,2586,2516,2503,2801,3128,3886,4202,3571,2948,2604,2116,1673,1399,1260,1089,920,868,732,721,595,563,539,422,395,326,296,263,245,223,192,184,181,147,167,128,114,80,84,79,70,56,61]
[111,129,130,144,152,171,204,217,286,286,318,384,422,485,555,607,723,822,941,1081,1216,1440,1726,2272,2978,3159,2751,2438,2311,2060,2048,2149,3071,2920,3405,3370,2931,2781,2470,2344,2295,2339,2712,3150,3497,3362,3091,2963,2611,2515,2434,2498,2781,3301,3563,3685,3188,2922,2711,2576,2433,2737,2837,3400,3766,3784,3280,3052,2679,2928,2404,2638,2879,3395,3687,3548,3330,3071,2662,2560,2610,2800,3137,3692,3954,3867,3424,3200,2967,2629,2692,2828,3237,3628,4046,3790,3556,3278,2732,2661,2548,2646,2800,3275,3574,3470,3084,3378,2567,2425,2390,2590,2725,3165,3348,3202,2677,2421,2109,1721,1450,1351,1150,949,826,849,675,593,591,521,441,423,338,326,293,265,227,205,193,191,163,140,135,117,155,102,91,65,70,79]
[136,147,186,166,218,222,247,263,315,360,409,454,526,567,601,717,825,921,1147,1224,1352,1616,2148,2464,2400,2217,2152,2066,2010,1955,2117,2354,2670,3619,2888,2835,2484,2380,2236,2075,2231,2379,2796,3019,3063,2916,2665,2511,2473,2368,2398,2724,3052,3228,3193,2953,2694,2546,2587,2477,2572,2781,3129,3310,3284,2938,2751,2510,2554,2325,2879,2781,3049,3264,3199,3117,2648,2642,2560,2551,2553,2978,3334,3469,3523,3159,2895,2856,2615,2528,2652,3112,3377,3484,3488,3237,2884,2764,2661,2413,2525,2814,3060,3283,3064,2993,2600,3007,2336,2313,2135,2633,2875,3016,2736,2332,2012,1860,1647,1360,1222,1067,912,827,753,672,640,577,492,479,393,375,335,264,214,240,194,190,183,136,124,109,120,111,105,91,55,80,73,46]
[108,132,130,168,165,177,205,254,285,311,316,386,415,491,538,578,705,825,908,1060,1231,1225,1454,1797,2038,2080,1879,1936,1973,2059,2121,2063,2072,2363,2549,3026,2374,2237,2233,2325,2291,2228,2240,2513,2587,2643,2554,2351,2393,2476,2414,2387,2424,2641,2961,3023,2740,2536,2618,2558,2469,2383,2574,2864,2885,2858,2778,2486,2429,2497,2435,2450,2439,3233,3003,2878,2682,2622,2561,2623,2688,2521,2606,2862,3112,3192,2813,2704,2702,2702,2686,2559,2748,2935,3119,3102,2895,2681,2685,2726,2543,2392,2498,2691,2913,2816,2759,2464,2482,2548,2876,2243,2247,2463,2593,2447,2013,1841,1799,1575,1389,1205,1064,946,854,781,731,681,584,531,490,406,413,317,290,233,221,206,196,176,173,152,111,134,103,120,93,89,64,57]
[104,169,155,146,185,197,192,273,258,307,359,397,434,492,546,611,687,830,889,1017,1117,1203,1424,1679,1835,1915,1736,1675,1805,1973,2078,2079,2161,2213,2452,2443,2294,2132,2535,2180,2248,2252,2164,2315,2481,2519,2355,2389,2243,2378,2423,2361,2480,2622,2718,2694,2448,2376,2446,2516,2578,2431,2519,2658,2739,2715,2651,2349,2357,2445,2403,2438,2411,2522,2732,2726,3061,2478,2481,2635,2530,2499,2645,2695,2825,2921,2722,2544,2624,2583,2608,2550,2531,2747,2875,2861,2695,2510,2576,2551,2478,2559,2571,2712,2675,2645,2451,2303,2398,2417,2434,2232,2252,2835,2533,2378,2000,1755,1670,1538,1333,1230,1169,928,890,886,737,668,558,528,475,387,379,333,292,273,264,226,213,167,160,145,134,101,114,122,79,90,74,75]
[122,122,171,155,187,208,216,246,281,318,392,418,466,514,572,714,776,829,951,1124,1286,1393,1609,1865,2003,2085,1926,1770,1897,2036,2111,2228,2346,2497,2488,2583,2440,2315,2261,2245,2333,2726,2378,2586,2675,2651,2532,2443,2327,2394,2521,2527,2629,2760,2843,2834,2705,2535,2559,2564,2581,2586,2678,2866,3094,2976,2705,2618,2468,2522,2628,2478,2654,2816,2914,2879,2726,2532,2901,2596,2480,2538,2757,3006,2841,2960,2710,2559,2595,2686,2578,2628,2861,2969,2978,2993,2775,2669,2605,2689,2585,2616,2671,2769,2948,2859,2636,2501,2411,2365,2464,2320,2395,2483,2494,2366,2428,1814,1671,1578,1367,1337,1152,939,930,812,763,684,615,566,486,434,407,319,290,302,239,245,195,187,192,154,132,124,114,102,105,75,79,79]
[107,133,114,166,177,193,198,292,286,357,331,387,469,481,580,588,730,853,965,1181,1289,1515,1855,2085,2335,2378,2210,2090,1923,1995,2218,2194,2522,2795,2866,2686,2613,2407,2331,2341,2236,2410,2632,2834,3411,2824,2674,2471,2379,2479,2521,2702,2991,3346,3227,3185,2987,2750,2631,2613,2642,2710,3146,3299,3349,3277,3051,2773,2716,2535,2613,2663,2867,3054,3195,3089,2892,2815,2642,2693,2573,2644,3529,3272,3194,3146,2851,2701,2636,2645,2574,2830,3071,3318,3298,3157,2897,2795,2715,2722,2697,2794,2892,3316,3165,3132,2860,2509,2502,2433,2438,2463,2675,2882,2864,2594,2338,1948,1835,2037,1439,1334,1186,1019,975,814,755,656,608,552,484,429,373,380,278,266,244,223,212,176,161,157,153,129,123,92,88,92,75,69]
[121,126,139,184,200,219,230,241,267,346,423,402,478,518,606,675,730,840,1019,1193,1445,1808,2108,2588,2867,2817,2435,2257,2277,2186,2249,2479,2822,3148,3225,3185,3003,2648,2487,2369,2412,2535,2861,3017,3319,3271,3020,3228,2620,2739,2671,2991,3148,3639,3736,3745,3289,3086,2796,2811,2734,3167,3298,3729,3816,3761,3356,3066,2934,2690,2812,2915,3194,3375,3608,3489,3298,2986,2771,2773,2729,2932,3189,3439,4337,3463,3211,2834,2718,2682,2898,3133,3352,3649,3665,3637,3256,2925,2953,2783,2946,3135,3463,3572,3720,3538,3119,2859,2766,2548,2578,2807,2989,3120,3311,3080,2607,2168,2019,1763,1471,1302,1426,984,900,856,756,693,637,541,514,428,398,319,345,304,249,233,206,176,195,140,132,104,127,107,103,96,74,76]
[125,135,169,164,180,187,236,247,291,317,346,400,455,651,646,669,754,826,1002,1217,1473,1895,2260,3098,3820,3695,3151,2775,2454,2369,2472,2757,3025,3655,4218,4001,3414,2896,2742,2607,2761,2958,3168,3714,3987,4022,3381,3114,2850,2770,3475,3279,3645,4377,4828,4387,3765,3437,3071,3062,3057,3551,3930,4627,5132,4581,3843,3480,3119,2891,3083,3257,3502,3941,4520,4284,3656,3217,3005,2900,3078,3196,3520,4088,4590,4097,3671,3902,3049,2978,3102,3339,3724,4375,4631,4213,3596,3236,3057,2963,3109,3363,3719,4478,4741,4021,3519,3140,2898,2776,2875,3034,3407,4093,4475,3689,2897,2541,2147,1881,1544,1401,1268,1048,942,1054,788,736,650,549,530,448,419,364,326,263,242,213,218,179,196,148,132,133,118,121,89,86,90,79]
[139,147,144,172,186,214,214,285,306,357,365,427,484,583,643,666,992,875,1059,1283,1561,2012,2586,3590,4832,4626,3474,2952,2616,2518,2652,2740,3136,4060,4961,4536,3634,3013,2767,2721,2748,2881,3162,4029,4927,4745,3647,3278,3133,2834,3044,3219,3734,5805,5643,5006,4100,3701,3260,3049,3163,3607,4164,5253,5822,5118,4332,3633,3284,3180,3216,3342,3705,4472,5255,4760,3877,3497,3113,2979,3209,3284,3642,4536,5461,4879,3998,3392,3087,2941,3778,3461,3770,5061,5503,4665,3958,3400,3100,3171,3254,3545,3945,5126,5818,4972,3879,3404,3017,2958,2934,3194,3448,4939,5598,4351,3406,2782,2499,2003,1690,1346,1168,1003,932,907,794,670,724,554,509,420,390,305,310,290,250,239,196,159,166,149,130,110,115,113,106,87,76,70]
[126,161,169,152,182,202,267,257,282,362,381,413,467,527,612,639,749,906,1012,1418,1422,1845,2221,3105,4058,4107,3347,2936,2591,2389,2408,2591,2927,3414,4184,4077,3537,3121,2883,2591,2551,2833,2966,3672,4298,4248,3734,3234,3007,2686,2694,2888,3155,4031,4787,4876,4832,3512,2981,2823,3018,3195,3592,4362,5077,4912,4170,3697,3176,2956,2987,3197,3471,3979,4823,4677,3827,3455,3103,2878,2919,3176,3463,4140,4758,4444,3795,3539,3027,2918,2932,3144,3430,4112,5636,4297,3799,3244,3120,2955,2903,3178,3550,4240,4946,4487,3958,3351,3054,2758,2812,2961,3304,3870,4677,4121,3342,2720,2399,1982,1622,1469,1274,1103,929,927,821,710,618,571,513,557,385,347,285,295,246,240,224,183,199,166,159,140,115,132,96,78,67,78]
[121,148,165,190,198,238,255,254,288,331,382,432,497,516,620,695,755,887,1045,1153,1326,1529,2332,2567,3033,3068,2691,2376,2297,2238,2176,2326,2599,2988,3341,3237,3145,2791,2633,2421,2262,2489,2671,3111,3547,3454,3161,2847,2788,2587,2435,2780,3039,3512,4023,3869,3728,3155,2907,3384,2646,2824,3194,3701,3926,3784,3517,3144,2968,2781,2695,2905,3063,3631,3819,3759,3516,3050,2988,2921,2766,2861,3166,3445,3918,3749,3387,3097,3016,2793,2679,2966,3338,3575,3980,3852,4030,3030,2839,2686,2684,2967,3227,3740,3942,3708,3242,3041,2754,2509,2435,2605,2964,3363,3654,3214,2657,2415,2213,1812,1552,1299,1169,1075,957,887,742,773,614,578,545,442,397,356,393,319,259,211,190,191,155,124,146,134,107,99,101,79,68,65]
[132,167,173,200,189,216,249,281,310,359,420,422,516,583,623,686,801,934,1047,1109,1313,1466,1629,2078,2442,3088,2451,2173,2202,2181,2188,2207,2404,2746,2961,2962,2832,2695,2505,2414,2258,2331,2568,2953,3002,3156,2953,2706,2505,2524,2397,2539,2805,3150,3370,3248,3327,2982,2748,2783,2689,2689,3588,3391,3511,3555,3292,3077,2833,2742,2624,2660,2982,3205,3393,3309,3227,2983,2785,2691,2723,2758,2966,3229,3444,3369,3127,2959,2836,2701,2676,2673,3105,3223,3528,3469,3188,2926,2863,3260,2553,2678,2970,3226,3449,3430,3124,2848,2686,2460,2396,2468,2594,2933,3019,2897,2541,2097,2025,1798,1496,1269,1170,1054,990,876,775,701,610,585,483,456,390,372,312,294,288,274,197,174,178,164,157,120,109,113,93,85,86,70]
[113,137,172,175,181,234,244,292,297,370,365,418,484,535,622,697,810,879,989,1117,1309,1349,1595,1900,2157,2247,1986,1915,2504,2199,2187,2216,2349,2536,2601,2602,2402,2377,2378,2326,2436,2381,2448,2650,2847,2814,2619,2458,2517,2512,2661,2513,2628,2783,3097,3072,2846,2695,2677,2707,2628,2557,2695,2917,3155,3807,2902,2690,2787,2700,2763,2631,2674,2852,3031,3064,2738,2734,2630,2685,2707,2544,2786,2943,3069,3103,2883,2744,2655,2729,2676,2620,2779,2993,3115,3079,2861,2719,2670,2656,2685,2677,3154,2909,3064,2985,2745,2673,2668,2562,2518,2284,2322,2565,2781,2578,2172,1996,1930,1680,1450,1260,1139,1035,928,825,737,693,639,564,492,460,385,375,336,288,273,218,229,190,213,164,129,126,114,105,96,113,70,71]
[133,160,177,175,235,252,272,262,305,373,406,407,507,568,640,720,818,920,1007,1215,1246,1452,1630,1913,2002,2086,2031,1948,2069,2114,2215,2707,2415,2544,2575,2458,2372,2372,2240,2337,2412,2349,2384,2537,2657,2574,2560,2488,2395,2463,2584,2561,2593,2792,2905,2786,2599,2612,2594,2670,2637,2656,2688,2696,2940,2985,2712,2649,3160,2572,2572,2601,2756,2763,2919,2915,2718,2487,2661,2649,2722,2706,2761,2966,2918,2987,2821,2716,2647,2626,2731,2740,2692,2866,2964,2938,2859,2738,2561,2684,2722,2554,2563,2900,2933,3323,2710,2599,2652,2559,2490,2373,2512,2571,2650,2456,2140,1912,1758,1628,1467,1334,1192,1063,983,824,780,717,657,598,519,451,408,382,354,320,255,238,230,205,178,162,158,123,137,113,99,90,70,89]
[147,156,173,168,196,216,263,329,317,377,443,477,538,581,653,677,751,845,1084,1200,1391,1523,1836,2010,2241,2273,2094,2087,1948,2157,2255,2299,2495,3262,2652,2719,2560,2407,2379,2372,2374,2446,2533,2660,2831,2783,2613,2384,2499,2447,2435,2543,2777,2886,2887,2865,2811,2591,2539,2632,2662,2787,2723,2943,3182,3006,2854,2719,2620,2669,2690,3147,2760,3049,3135,3041,2772,2768,2665,2678,2741,2680,2874,3137,3077,3037,2816,2651,2754,2751,2700,2756,2946,3037,3116,2942,2881,2665,2610,2716,2757,2691,2899,3004,3147,3057,2709,2548,3045,2582,2498,2458,2565,2688,2643,2361,2098,1950,1754,1621,1473,1336,1195,1070,996,897,805,756,620,602,477,441,398,368,342,306,284,258,251,210,180,154,135,114,120,141,88,90,71,66]
[153,159,185,181,222,260,259,287,352,334,402,409,542,603,647,737,860,950,1103,1294,1522,1730,2068,2432,2573,2450,2379,2133,2190,2156,2250,2405,2740,2962,3008,2971,3203,2556,2367,2409,2470,2371,2651,2876,2805,2823,2791,2734,2487,2502,2568,2617,2990,3219,3125,2946,3050,2679,2618,2819,2734,2895,3259,3405,3369,3213,3043,2871,2744,2815,2661,2826,3157,3962,3326,3141,3008,2724,2725,2788,2799,2944,3321,3478,3510,3349,3143,2875,2877,2798,2759,3008,3306,3353,3498,3320,3284,2926,2692,2874,2825,3079,3353,3437,3365,3193,2944,2727,2627,2595,2602,3274,2998,3281,3067,2723,2264,2112,1883,1752,1563,1308,1177,989,958,894,815,675,626,574,544,484,411,390,325,303,267,245,238,216,197,145,150,123,122,136,108,100,111,78]
[142,147,192,196,219,227,272,268,336,386,389,455,459,593,657,723,858,1016,1123,1315,1637,2175,2448,2904,3551,3128,2903,2455,2373,2439,2432,2741,3076,3463,3626,3300,3235,2880,2691,3124,2595,2901,3025,3238,3287,3055,3001,2770,2708,2692,2776,2909,3280,3515,3586,3467,3163,3047,2876,2846,2935,3309,3556,3692,4176,3771,3408,3220,2987,2832,2970,3218,3528,3812,3767,3674,3780,3071,2912,2921,2952,3316,3639,3822,4275,3796,3504,3003,3163,2754,3108,3377,3528,3949,4067,3789,3552,3184,3060,2960,3043,3409,3656,3905,4000,3711,3453,3112,2771,2795,2983,3134,3262,3586,4135,3253,2929,2419,2127,1983,1518,1394,1242,1138,1009,924,849,810,736,594,535,493,422,380,328,332,290,253,223,173,184,146,164,137,128,120,97,113,70,71]
[136,168,178,180,208,212,276,300,303,335,374,460,491,553,645,703,794,961,1075,1300,1725,2159,2715,4348,4600,4095,3343,2830,2650,2543,2764,3021,3329,4200,4722,4370,3526,3287,2871,2762,2792,2933,3140,3608,4261,3679,3298,3103,2844,2830,2809,3143,3549,3925,4758,4078,3748,3287,3148,2936,3668,3517,3784,4634,5145,4616,3831,3516,3068,3045,3220,3435,3887,4713,4789,4417,3857,3371,3196,2961,3237,3527,3769,4783,5388,4440,3846,3502,3182,3136,3232,3540,3990,4734,5176,4557,3997,4109,3187,3065,3390,3634,4098,4801,5190,4432,3627,3359,3051,3068,3203,3361,3780,4626,4977,4050,3253,2706,2325,1909,1651,1360,1226,1065,989,891,849,747,704,581,530,482,429,380,331,406,269,250,205,166,168,150,145,142,123,106,111,93,87,74]
[138,169,165,201,212,240,273,300,325,346,355,466,493,606,651,753,806,985,1029,1337,1624,2131,2772,4065,5403,5137,4565,3101,2774,2651,2747,2989,3557,4553,5867,4735,3916,3409,3004,2793,2755,2947,3310,4065,4777,4495,3459,3163,2875,2784,2890,3199,3578,4325,5215,4619,3932,3579,3195,3021,3108,3441,3863,6121,5935,4809,3963,3542,3391,3155,3144,3387,3767,5089,5747,4893,3995,3430,3166,3092,3124,3539,3929,5258,6222,5194,4255,3731,3216,3157,3273,3576,3993,5142,6010,5280,4192,3690,3200,3060,3951,3510,4077,5365,5998,4733,3842,3441,3040,3073,3118,3434,4149,5497,5589,4120,3330,2775,2286,1875,1588,1346,1210,1048,986,884,818,735,669,585,545,456,408,331,346,321,279,266,266,201,176,150,135,143,108,112,101,88,106,88]
[145,177,154,199,207,267,262,315,320,376,447,445,494,584,661,742,848,1010,1086,1222,1588,2051,2630,3371,4609,4386,3526,3040,3282,2496,2688,2884,3264,4088,4664,4248,3612,3245,2937,2695,2640,2737,2992,3748,4256,4084,3549,3184,2919,2721,2856,3013,3310,4096,4478,4318,3581,3247,3135,2923,2998,3231,3585,4218,5000,4508,4687,3473,3122,2970,3088,3375,3885,4528,4950,4493,3778,3364,2996,3094,3081,3400,3799,4716,5101,4547,3853,3456,3233,3057,3111,3366,3858,4608,5202,4663,3960,3586,3178,3015,3079,3418,3664,5556,4975,4083,3706,3354,2950,2806,2917,3139,3725,4446,4720,4031,3212,2732,2332,1889,1610,1344,1114,1092,938,855,833,710,590,589,537,444,438,378,314,325,292,239,199,199,228,157,142,133,104,94,109,84,87,65]
[149,130,174,187,228,245,244,273,314,348,398,456,491,576,609,749,802,890,1006,1231,1422,1725,1986,2660,3300,3359,2937,2672,2432,2300,2271,2888,2904,3341,3717,3446,3107,2927,2770,2607,2497,2469,2893,3348,3377,3304,3175,3015,2713,2672,2643,2751,3038,3448,3671,3489,3315,3141,2942,2771,2640,2870,3163,3712,4062,3906,3622,3295,2983,3263,2712,2937,3178,3795,4007,3868,3410,3243,2910,2776,2789,3008,3467,3782,3845,3801,3391,3151,2944,2770,2755,3034,3380,3970,4130,4001,3580,3263,3051,2842,2836,3071,3310,3758,4093,3682,4143,3046,2757,2594,2475,2848,3084,3723,3738,3408,2727,2423,2094,1827,1528,1311,1214,1003,952,890,783,684,658,596,499,423,385,374,334,308,257,240,221,168,187,161,136,199,123,125,107,97,61,81]
[168,160,157,214,211,247,261,324,343,404,419,478,571,549,686,720,858,974,1109,1209,1414,1520,1787,2177,2657,2715,2639,2252,2172,2204,2204,2222,2503,2727,3775,3094,2891,2802,2635,2588,2415,2495,2686,2825,3056,3064,2945,2745,2587,2623,2608,2657,2773,3134,3321,3381,3176,2887,2763,2778,2597,2678,2984,3303,3540,3418,3253,2925,2759,2751,2577,2745,3473,3206,3511,3574,3301,2829,2805,2823,2681,2710,3146,3350,3480,3381,3289,3085,2814,2705,2712,2787,3044,3339,3545,3606,3272,3023,2909,2810,2743,2658,2937,3252,3497,3385,3163,2969,2633,3141,2444,2494,2719,3043,3164,2815,2453,2065,2073,1761,1519,1261,1124,1053,936,872,830,737,643,620,523,412,444,383,331,287,294,226,217,187,191,191,139,142,144,120,120,85,81,74]
[164,148,186,217,199,247,253,316,373,350,406,462,493,583,647,703,826,917,1040,1150,1341,1389,1728,1912,2355,2296,2108,1980,2053,2109,2325,2329,2387,2576,2824,2768,2699,3046,2615,2619,2503,2526,2575,2768,2843,2761,2704,2550,2679,2644,2532,2622,2661,2952,2984,3185,2801,2725,2715,2849,2778,2680,2831,2920,3217,3120,3021,2697,2762,2781,2824,2707,2819,3019,3273,3862,2797,2788,2731,2925,2829,2621,2924,3011,3237,3137,2780,2775,2803,2892,2782,2679,2858,3120,3187,3196,2922,2788,2956,2806,2743,2712,2817,3072,3083,3146,2818,2751,2650,2615,2468,2347,2894,2635,2641,2602,2170,1986,1837,1694,1469,1355,1145,1078,963,881,740,708,652,586,521,440,413,390,351,296,292,224,235,201,160,154,188,154,133,111,129,109,79,91]
[126,175,158,219,235,254,296,298,344,401,401,463,491,587,680,778,799,981,1065,1235,1421,1453,1786,2021,2080,2158,1993,1922,2080,2201,2249,2335,2383,2592,2551,2527,2443,2424,2540,2491,3029,2564,2530,2821,2852,2670,2590,2643,2568,2582,2527,2615,2810,2859,2925,2974,2806,2810,2738,2778,2792,2720,2795,2895,3103,3028,2818,2768,2703,2821,2734,2644,2901,2940,3049,3020,2928,2693,3394,2859,2771,2761,2872,2990,3073,3038,2868,2771,2837,2898,2814,2806,2817,2998,3230,2993,2862,2767,2713,2862,2815,2778,2726,2851,2989,2978,2746,2667,2572,2701,2480,2398,2367,2582,2593,2932,2062,1897,1772,1606,1482,1299,1162,1031,951,846,825,737,618,584,531,487,386,381,318,310,270,261,220,187,185,175,148,130,133,140,97,120,97,88]
[160,156,178,188,232,219,322,287,356,387,417,461,463,571,648,681,807,944,1125,1236,1382,1529,1727,2013,2128,2225,2029,2012,1985,2179,2274,2329,2445,2719,2590,2622,2588,2408,2427,2480,2563,2459,2637,3484,2970,2849,2662,2658,2610,2597,2539,2513,2760,3033,3145,2899,2840,2613,2633,2640,2661,2642,2647,3018,3077,3199,2842,2664,2613,2691,2761,2728,2885,3096,3196,3090,2791,2672,2744,2548,2786,3325,2877,3160,3077,3007,2838,2877,2692,2754,2807,2781,2981,3225,3190,3206,2943,2702,2674,2706,2660,2674,2886,3038,3107,3075,2864,2592,2507,2531,2476,2275,2560,2705,2706,2464,2037,1860,2046,1640,1476,1294,1261,1070,962,932,872,725,618,597,522,520,434,373,349,303,266,244,238,232,175,169,123,149,133,136,122,96,88,100]
[159,189,176,196,214,233,249,314,306,443,386,491,509,550,610,722,824,960,1082,1370,1543,1757,2126,2370,2566,2510,2250,2151,2021,2104,2108,2257,2608,2865,2929,2989,2693,2678,2452,2524,2549,2739,3017,3149,3188,3085,3444,2720,2451,2517,2607,2653,3108,3275,3187,3250,2970,2841,2599,2779,2723,2722,3164,3337,3228,3322,3127,2937,2744,2694,2833,2962,3091,3336,3354,3295,3072,2956,2795,2721,2831,2839,3139,3987,3337,3079,3039,2739,2786,2762,2805,2982,3342,3388,3483,3299,3105,2941,2810,2843,2798,2951,3126,3490,3402,3168,2999,2712,2591,2593,2588,2683,2900,2895,3006,2713,2348,2010,1874,1649,1516,1586,1198,1086,992,888,823,752,663,584,537,440,440,383,343,336,287,236,240,200,191,194,164,133,132,140,102,102,91,98]
[159,170,177,186,221,239,263,283,327,359,430,445,612,579,654,800,825,1003,1150,1265,1743,1979,2385,2777,3200,3249,2643,2533,2378,2351,2505,2547,3048,3221,3464,3421,3143,2781,2657,2571,2659,2853,3287,3632,3665,3485,3302,2934,2764,3343,2915,3228,3536,3766,3913,3703,3297,3130,2877,2900,2912,3172,3453,3711,3921,3834,3522,3104,3033,2903,3069,3265,3612,3769,4062,3785,3585,3325,3120,2819,3065,3342,3516,3816,3814,3694,4062,3080,2941,2966,3046,3523,3778,3884,4142,3883,3568,3169,3033,2973,3043,3188,3516,3812,3931,3581,3325,3072,2808,2695,2727,2896,3141,3390,3363,3078,2658,2312,2042,1819,1586,1335,1231,1094,1229,949,746,800,652,607,524,482,382,385,348,292,271,238,235,201,208,193,153,145,120,105,102,89,82,98]
[167,166,197,195,210,255,259,284,339,330,427,463,533,558,655,865,851,945,1064,1330,1605,2135,2541,3614,4233,4055,3204,2829,2643,2535,2758,3094,3341,4185,4706,4165,3733,3312,3016,2887,2999,3325,3756,4315,4735,4335,3675,3277,2961,2938,2951,3228,4528,4589,4918,4312,3727,3288,3021,3014,3138,3451,3994,4720,5218,4398,3825,3388,3095,3086,3159,3343,3783,4477,5000,4280,3961,3503,3168,3179,3202,3353,3787,4461,4759,4263,3714,3634,3241,3854,3422,3530,3973,4757,5219,4527,3939,3299,3109,3158,3204,3357,3964,4801,5234,4589,3575,3228,2911,2957,2931,3186,3559,4329,4564,3720,2881,2614,2095,1794,1591,1388,1190,1065,936,880,821,848,652,547,510,463,381,352,306,292,263,249,228,219,188,156,127,148,114,108,105,85,76,99]
[196,148,162,208,210,249,263,304,342,402,449,461,529,585,691,749,841,892,1307,1271,1629,2135,2630,3962,5104,4611,3468,3022,2618,2590,2696,2970,3220,4437,5406,4880,3963,3471,3007,2961,3006,3266,3660,4547,5624,4936,3956,3512,3154,2965,2995,3402,3657,4747,5690,5885,4002,3546,3006,3022,3171,3341,3999,4973,5773,4795,4094,3560,3160,3177,3331,3428,4023,4897,5880,4928,4114,3718,3253,3154,3206,3532,3980,4860,5431,4846,4041,3671,3428,3131,3333,3585,4910,5182,5799,4898,4191,3760,3192,3091,3215,3456,4016,5351,5840,4633,3961,3403,2972,2770,2920,3175,3625,4701,5171,3936,3195,2770,2157,1909,1526,1370,1169,1091,935,871,824,772,655,556,637,474,371,380,344,303,253,266,250,210,177,165,148,131,122,112,107,97,87,74]
[149,190,192,239,221,247,282,301,365,390,441,502,535,673,703,731,871,1000,1138,1304,1891,1941,2551,3639,4211,3766,3117,2914,2545,2495,2522,2822,3336,4288,4622,4078,3633,3234,2817,2733,2848,3128,3583,4299,4886,4072,3578,3349,2955,2921,2978,3412,3724,4426,4913,4445,3793,3381,3583,2932,2995,3273,3834,4481,4878,4243,3688,3344,3050,3110,3066,3400,3876,4713,4945,4490,3895,3484,3163,3051,3043,3349,3849,4439,4966,4422,3909,3547,3185,3118,3245,3513,3964,4591,5159,5399,3848,3331,3030,3040,3094,3468,3804,4729,4940,4267,3660,3329,2974,2801,2781,3105,3431,4367,4492,3615,3090,2634,2105,1828,1495,1354,1142,1092,947,821,790,738,619,531,471,489,506,349,330,289,287,207,221,213,193,169,148,136,123,126,102,88,73,93]
[156,145,186,215,243,257,285,340,344,397,424,462,537,579,671,734,838,975,1097,1220,1323,1626,1967,2882,3162,3030,2694,2613,2383,2236,2303,2560,2991,3389,3748,3482,3231,3000,2838,2581,2561,2745,3143,3694,3839,3764,3411,3054,2902,2703,2740,3003,3225,3665,4069,3822,3468,3118,2975,2805,2749,3566,3295,3769,3965,3761,3448,3239,2953,2864,2938,3074,3503,3893,4207,3933,3642,3347,3066,2868,2867,3045,3409,3753,4177,3859,3578,3344,3062,2994,2915,3201,3492,3984,4287,4102,3460,3340,3598,2839,2867,3181,3432,3823,4045,3757,3386,2971,2763,2579,2528,2581,3033,3280,3505,3121,2671,2293,2039,1722,1445,1355,1161,1010,1011,842,727,687,622,555,473,429,413,363,282,366,238,250,215,193,176,161,155,142,126,139,115,91,92,85]
[164,163,202,195,222,251,276,329,367,406,425,457,557,612,674,715,806,921,1057,1140,1298,1406,1591,2051,2370,2530,2872,2148,2182,2189,2181,2209,2497,2758,3025,3084,2897,2687,2656,2550,2410,2543,2927,3142,3349,3331,3204,2902,2792,2697,2658,2681,3030,3253,3475,3363,3323,2995,2802,2836,2684,2720,2917,3921,3510,3436,3240,2906,2801,2877,2759,2831,3140,3396,3492,3574,3369,3030,2859,2945,2710,2796,3203,3339,3600,3548,3381,2947,3038,2898,2757,2796,3232,3385,3599,3638,3361,3029,2900,2858,2670,3362,3183,3335,3622,3495,3124,2813,2656,2544,2407,2358,2590,2879,2944,2790,2441,2105,1937,1572,1403,1251,1136,1015,943,850,774,733,655,571,493,443,399,381,375,313,285,252,267,197,176,162,149,137,122,93,108,87,100,79]
[186,177,210,223,231,265,309,324,363,387,469,491,529,602,670,682,803,976,1094,1206,1336,1421,1526,1940,2094,2204,1994,1940,2045,2565,2203,2292,2315,2649,2640,2674,2454,2513,2546,2356,2440,2412,2684,2792,3059,2905,2754,2677,2680,2762,2810,2646,2796,2954,3237,3150,2871,2701,2771,2901,2757,2763,2881,2978,3190,3183,2920,2997,2950,2978,2620,2844,2904,3117,3229,3197,2883,2875,2880,2935,2706,2837,2840,3092,3319,3075,3016,2871,2843,2917,2905,2880,3050,3177,3430,3253,2983,2871,2847,2725,2777,2714,2792,2854,3728,3029,2891,2698,2547,2637,2374,2288,2333,2491,2667,2496,2044,1909,1735,1558,1371,1265,1091,1021,909,828,760,726,657,531,537,466,404,367,320,316,261,231,205,202,184,214,130,153,130,123,89,88,93,76]
[190,245,214,264,279,306,354,404,404,492,483,627,647,686,774,891,1043,1100,1314,1396,1493,1791,1970,1910,1975,1886,1953,2131,2152,2741,2237,2385,2585,2488,2500,2360,2368,2536,2704,2503,2608,2723,2969,2845,2710,2587,2672,2680,2697,2660,2759,2972,2942,2915,2879,2799,2795,2771,2807,2743,2697,2874,3022,3084,2838,2763,3351,2848,2785,2824,2909,3067,3236,3111,2897,2832,2696,2932,2912,2847,2821,2989,3066,3044,2903,2748,2844,2931,2875,2787,2964,2976,3152,3107,2907,2829,2838,2830,2799,2687,2727,3001,3022,3634,2759,2656,2633,2651,2614,2332,2418,2458,2505,2328,2150,1980,1760,1689,1388,1294,1142,1050,916,911,798,714,654,604,489,487,451,396,335,321,263,256,222,204,209,185,161,195,113,124,109,90,97,81,64,68]
[164,170,197,199,203,252,250,297,353,339,411,476,534,590,592,734,881,956,1026,1215,1381,1369,1643,1989,2086,2017,1935,1954,1888,2108,2186,2261,2871,2787,2728,2569,2388,2446,2353,2545,2624,2552,2759,2811,3026,2852,2764,2679,2609,2846,2748,2713,2939,3100,3186,3023,2850,2707,2806,2747,2825,2864,3095,3130,3207,3159,2901,2759,2679,3412,2949,2795,3127,3426,3339,3271,3039,2818,2886,2863,2874,2814,3083,3350,3419,3238,3020,2921,2884,2918,2900,3216,3105,3285,3338,3177,3018,2890,2837,2917,2859,2825,2932,3081,3113,3018,3338,2628,2630,2546,2382,2473,2508,2612,2610,2359,2033,1787,1728,1638,1447,1241,1177,1059,943,865,756,729,669,529,558,436,423,388,354,292,300,244,244,218,200,202,123,169,131,107,99,104,91,77]
[169,178,179,209,223,236,298,330,388,419,474,465,558,621,714,771,863,972,1082,1235,1434,1601,1929,2259,2351,2254,2148,1962,1956,2123,2246,2391,2651,3090,3577,2849,2656,2481,2541,2533,2570,2579,3073,3255,3250,3037,2918,2743,2735,2592,2848,2992,3353,3473,3444,3389,3102,3017,2919,2809,2823,3064,3444,3565,3533,3392,3271,2974,2818,2971,2942,3106,4293,3762,3615,3341,3214,3156,3034,2901,2997,3088,3530,3757,3598,3474,3217,2889,2849,2987,3013,3177,3517,3626,3577,3395,3261,2916,2889,2950,2851,3045,3409,3620,3330,3088,2957,2722,2656,3020,2437,2751,2874,3050,2868,2664,2329,2004,1790,1589,1448,1298,1196,1033,953,898,842,679,667,562,530,434,412,386,336,270,299,262,250,206,175,168,179,140,145,128,110,93,97,76]
[184,188,191,215,237,266,304,336,367,406,479,509,577,643,639,773,885,958,1231,1379,1653,1934,2255,2764,3052,2959,2560,2313,2235,2213,2443,2741,2988,3270,3568,3341,3115,3398,2762,2512,2779,3094,3379,3722,3739,3497,3366,3020,2948,2844,3031,3307,3613,4141,4255,3773,3421,3214,3041,3062,3181,3442,3855,4054,4073,3744,3609,3158,3100,3041,3180,3422,3706,4127,4971,3821,3566,3251,3048,2993,3266,3502,3817,4088,4146,3859,3476,3270,3136,3130,3247,3730,3981,4174,4287,4001,3554,3275,3141,3114,3223,3478,3676,4024,4075,3714,3407,3022,2919,2783,2857,3029,3838,3595,3651,3107,2590,2266,2043,1763,1526,1391,1206,1018,954,903,805,750,615,578,577,485,403,388,337,302,275,254,236,192,188,200,154,122,122,135,104,97,95,93]
[136,198,203,271,258,248,303,315,357,379,387,478,542,630,669,739,829,1016,1119,1197,1634,2021,2463,3540,4286,3615,2952,2645,2507,2374,2455,2826,3168,4136,4841,4096,3501,3076,2961,2860,3526,3134,3739,4524,4738,4264,3651,3263,2998,3153,3220,3582,4155,4884,5350,4637,3871,3516,3143,3153,3306,3705,4056,5065,5226,4579,4122,3532,3279,3255,3502,3773,4178,5062,5556,4733,4129,4383,3331,3306,3491,3594,4098,4944,5335,4570,4051,3447,3264,3324,3430,3873,4316,5287,5377,4579,4055,3677,3354,3265,3345,3734,4297,4620,5210,4368,3716,3247,2988,2988,3000,3233,3504,4537,5534,3675,2901,2522,2120,1838,1545,1425,1190,1091,908,886,834,714,606,545,527,439,396,398,330,332,260,236,224,216,180,185,151,158,130,120,119,102,89,88]
[179,167,230,231,240,269,348,328,388,431,435,514,535,617,727,769,861,1002,1073,1343,1657,2086,2654,4124,4887,4014,3200,2686,2681,2463,2684,3066,3517,4766,5428,4455,3672,3268,3026,2894,2983,3165,3799,6150,5634,4664,3968,3441,3179,3123,3365,3647,4346,5701,6250,5028,4297,3753,3279,3191,3367,3691,4468,5445,6120,5038,4259,3738,3193,3271,3417,3744,4373,5666,6200,5031,4320,3741,3373,3418,4243,3712,4307,5633,6224,5025,4114,3632,3253,3425,3648,3845,4730,5811,6364,5042,4177,3589,3239,3236,3523,3673,4449,5419,5979,4741,3943,3568,3178,2998,3124,3260,3894,5310,5163,3989,3222,2701,2670,1825,1499,1274,1150,1076,960,822,837,684,617,600,522,415,430,368,330,309,248,252,209,205,183,169,183,134,145,134,110,113,102,82]
[168,195,203,225,241,272,322,363,355,437,446,517,576,652,691,836,845,976,1132,1263,1646,1811,2317,3240,4073,3746,3075,2751,2465,2450,2587,2808,3345,3906,4795,4312,3601,3338,2904,2750,2793,2981,3515,4056,4866,4588,4700,3446,3068,2958,3100,3371,3875,4874,5364,4605,4045,3657,3219,3057,3226,3480,3986,4656,5300,4673,3925,3565,3225,3157,3299,3445,4131,4789,5301,4726,4262,3718,3383,3168,3187,3406,3756,5515,5288,4632,4061,3524,3245,3132,3326,3519,4094,4911,5386,4778,4186,3593,3315,3107,3229,3344,3845,4902,5180,4502,3809,3459,3088,2814,2882,2934,3470,4150,4543,3818,3157,2710,2296,1940,1865,1357,1153,1092,969,893,773,712,650,629,479,459,409,362,363,298,300,239,242,203,182,172,158,162,107,137,113,108,101,100]
[174,198,217,234,246,279,272,324,347,369,407,591,611,651,723,800,888,979,1110,1248,1560,1668,2027,2646,3130,3047,2680,2565,2339,2246,2249,2509,2956,3320,3688,3543,3185,3119,2751,2607,2541,2760,3123,3661,3921,3673,3528,3208,3037,3360,2913,3128,3617,4119,4481,4042,3650,3246,3100,2974,2892,3219,3607,4056,4037,3770,3491,3168,2912,2767,2958,3140,3598,4302,4317,4093,3620,3464,3287,2987,3022,3092,3508,3961,4184,4103,4357,3312,3166,2969,2934,3269,3769,4181,4384,4198,3558,3329,3033,2899,2936,3075,3642,4117,4072,3913,3360,3167,2853,2611,2610,2711,3051,3477,3566,3213,2754,2401,2171,1812,1538,1334,1208,1249,964,883,754,723,652,553,519,482,413,361,327,299,282,268,215,211,198,176,170,135,121,102,120,123,85,82]
[166,196,163,212,236,280,306,317,365,379,412,506,540,628,857,741,846,981,1018,1228,1321,1445,1739,2106,2316,2518,2287,2253,2167,2272,2165,2292,2566,2908,3179,3129,3001,2746,2652,2699,2502,2477,2827,3205,3386,3379,3165,2882,2900,2851,2738,2648,3503,3431,3472,3528,3271,3139,2939,2974,2777,2826,3178,3435,3582,3548,3297,3153,2994,2952,2775,2923,3216,3651,3704,3568,3412,3257,3070,2920,2802,2887,3176,3487,3639,3611,3495,3162,3092,3598,2843,2904,3264,3577,3750,3553,3407,3126,2952,2911,2739,2827,3120,3392,3538,3566,3209,2812,2672,2602,2434,2493,2556,2842,3090,2880,2447,2131,2064,1870,1515,1385,1184,1068,970,840,964,699,656,567,542,448,442,406,326,305,295,214,238,202,182,167,165,148,131,145,124,102,92,92]
[165,160,185,226,254,282,270,314,326,365,418,433,562,592,693,737,764,1100,1103,1199,1317,1425,1568,1995,2052,2073,1980,1992,2055,2184,2251,2402,2335,2618,2807,2839,2710,2526,2658,2609,2581,2608,2758,2808,3092,3243,2923,2620,2780,2787,2808,2775,2756,3115,3314,3964,3018,2809,2936,2881,2898,2690,2900,3182,3261,3159,3015,2851,2819,2887,2885,2731,3008,3236,3335,3382,3071,2879,2944,2940,2893,2741,2854,3175,3365,3323,3173,2922,2962,2994,3003,2815,3480,3306,3452,3289,2941,2997,2895,2955,2839,2711,2952,3141,3220,3292,2851,2683,2668,2689,2438,2366,2405,2575,2709,2445,2109,1943,1788,1722,1469,1346,1200,1025,934,880,860,717,643,705,483,453,434,383,333,333,298,247,214,211,205,187,155,132,140,124,98,99,93,71]
[179,177,214,218,258,286,281,353,382,428,476,468,547,613,653,749,816,971,1052,1201,1647,1527,1710,1895,2102,2047,1873,1850,2035,2238,2357,2245,2520,2726,2593,2590,2440,2512,2458,2608,2592,2581,2676,2915,3008,2880,2672,2643,2731,2715,2753,2684,2810,2957,3107,3004,2882,2806,3334,2800,2810,2790,2887,3161,3127,2964,2872,2777,2827,2815,2927,2973,2910,3145,3154,3117,2885,2794,2997,2909,2880,2912,2912,3119,3317,3139,3018,2883,2947,2993,2913,2963,2955,3175,3313,3832,2900,2789,2875,2888,2926,2788,2856,3135,3155,2944,2668,2735,2714,2601,2524,2407,2469,2524,2507,2156,2057,1840,1710,1493,1355,1284,1133,1092,981,845,787,690,645,616,505,500,519,368,332,341,297,254,220,196,195,171,156,155,133,121,106,102,95,78]
[177,204,181,194,234,244,275,343,345,398,441,498,568,579,658,722,830,1133,1106,1166,1597,1648,1848,2430,2158,2206,1939,1955,2113,2172,2241,2335,2656,2727,2645,2610,2508,2445,2444,2577,2497,2710,2995,3145,3508,2917,2767,2651,2667,2707,2671,2826,3091,2995,3132,3098,2860,2661,2697,2758,2792,2784,3692,3030,3108,3012,2853,2741,2844,2863,2807,2895,3139,3278,3274,3158,2911,2851,2775,2858,2938,3556,3370,3390,3271,3159,2924,2791,2904,2923,2847,3002,3191,3477,3276,3180,2931,2804,2828,2878,2818,2970,3154,3399,3235,2984,2804,2749,2526,2527,2513,2536,2506,2725,2598,2253,2086,1873,2032,1477,1459,1271,1215,1027,946,888,785,723,661,560,548,459,404,387,352,309,280,255,219,217,202,171,139,151,139,121,101,112,98,90]
[178,183,193,212,240,273,299,317,366,502,422,481,600,639,739,776,921,996,1126,1306,1433,1691,2026,2430,2421,2323,2195,2119,2088,2173,2234,2403,2745,3108,2891,2876,2717,2606,2508,2601,2600,2833,3119,3399,3355,3179,3713,2808,2663,2714,2742,2953,3270,3584,3347,3272,3172,2929,2796,2865,2941,2930,3327,3442,3416,3321,3080,2920,2825,2814,2963,3045,3226,3418,3436,3380,3211,2991,2777,2858,2863,3100,3528,3665,4326,3357,3118,2853,2982,2852,2899,3245,3459,3588,3581,3469,3235,3032,2849,2996,2954,3112,3494,3590,3369,3379,3048,2927,2635,2558,2616,2686,3028,3091,2942,2620,2347,2074,1962,1755,1471,1532,1198,1146,1017,961,823,710,675,567,556,504,423,362,329,322,294,253,236,222,174,171,144,127,129,122,117,86,107,92]
[158,171,231,209,248,229,300,306,366,382,433,479,617,644,741,797,860,1016,1151,1454,1760,2110,2561,2959,3221,2952,2602,2406,2287,2354,2432,2733,3037,3570,3742,3175,2983,2858,2711,2693,2840,3154,3629,3923,4267,3831,3546,3193,2855,2784,3503,3260,3552,3898,4066,3755,3492,3197,2950,3120,3110,3381,3611,3925,3860,3782,3402,3044,3060,3527,3137,3439,3688,3782,3968,3581,3297,3145,2994,3073,3221,3448,3938,4074,4329,3785,3397,3326,3093,3000,3212,3551,3774,4327,4355,3962,3525,3177,3008,3036,3235,3510,3736,4164,4319,3879,4136,3044,2930,2820,2994,3127,3327,3695,3499,3036,2687,2370,2036,1709,1511,1375,1265,1029,997,867,832,754,673,620,501,470,409,382,338,322,275,284,237,231,197,165,147,139,162,135,128,115,102,75]
[175,194,200,239,217,255,320,330,336,402,449,477,557,603,650,769,887,1041,1149,1441,1841,2320,2801,3919,4432,3902,3066,2657,2559,2585,2696,3073,3512,4301,5373,3660,3324,2919,2789,2856,3068,3462,4124,5181,5041,4388,3620,3285,3019,3019,3224,3457,3985,4884,5139,4371,3914,3470,3261,3264,3365,3683,4053,4968,5330,4469,3902,3490,3281,3161,3352,3583,4777,4738,4815,3886,3600,3335,3197,3222,3428,3760,4574,5374,5351,4289,3758,3509,3159,3284,3381,3775,4510,5601,5449,4555,3807,3526,3255,3420,3449,3867,4405,5524,5486,4477,3902,3356,3207,3788,3272,3376,4031,5091,4602,3641,2971,2588,2076,1862,1564,1375,1208,1085,938,849,808,771,609,602,527,482,424,377,330,299,262,241,217,196,180,181,145,138,134,132,138,110,86,76]
[181,208,226,213,231,249,350,357,334,378,439,510,561,633,722,771,860,1018,1206,1345,1738,2183,2746,4183,5056,4772,3518,3023,2692,2727,2782,2991,3396,4444,5272,4512,3701,3949,3003,2873,3121,3404,4196,5338,6064,4763,4068,3639,3056,3115,3292,3419,4017,5123,5862,4876,4123,3688,3246,3272,3491,3510,4172,5309,6031,5124,4094,3756,3274,3281,3310,3466,4015,4924,5803,5254,3814,3554,3289,3243,3365,3628,4075,5442,6051,5022,4332,3721,3335,3411,3194,3548,4249,5683,6139,5258,4058,3679,3324,3261,3542,3639,4342,5759,6393,4788,4037,3518,3211,3078,3129,3369,4651,5119,5557,3880,3285,2795,2112,1908,1593,1426,1132,1045,973,919,800,719,624,566,505,470,422,390,383,316,311,255,262,215,188,162,164,132,132,116,107,93,86,123]
[148,176,179,276,260,253,295,307,377,389,458,513,570,665,715,746,862,1019,1094,1295,1600,1939,2464,3343,4099,3819,3062,2902,2468,2313,2462,2705,3008,3879,4226,4065,3548,3159,2908,2696,3368,3060,3567,4284,4791,4306,3746,3330,3007,2939,2978,3162,3376,4284,4993,4438,3978,3594,3046,3048,3036,3227,3743,4592,5097,4484,3881,3547,3207,2990,3071,3448,3476,4322,4724,4190,3837,3360,3731,2966,3195,3384,3872,4712,5050,4345,3760,3445,3167,3085,3157,3367,4047,4802,5102,4526,3859,3428,3285,3072,3213,3354,3878,4559,5089,4425,3839,3471,3042,2835,2718,2868,3294,4051,4721,4525,3035,2745,2211,1799,1577,1394,1191,1037,998,850,807,708,658,573,509,444,431,360,340,305,292,258,231,207,199,173,157,141,144,123,120,112,65,79]
[126,181,187,222,264,245,281,398,370,409,437,466,538,586,645,701,823,916,1087,1181,1451,1672,2016,2508,3115,3094,2726,2402,2433,2196,2203,2444,2741,3190,3492,3442,3156,2771,2781,2597,2622,2716,3111,3599,4646,3863,3394,3096,2940,2807,2755,2931,3161,3697,4013,3780,3492,3316,3049,3002,2885,3071,3604,3917,4243,3994,3430,3344,3021,2972,2915,3081,3465,3729,3941,3842,3388,3188,2983,2863,2880,3753,3576,4104,4353,3928,3672,3200,3025,2784,2924,3040,3453,4038,4253,3902,3634,3296,3154,2928,2807,3103,3429,3963,4086,3951,3350,3228,3088,2678,2590,2730,2883,3434,3746,3388,2753,2547,2129,2175,1507,1299,1252,1089,975,837,765,695,616,542,496,470,461,403,359,338,277,256,227,216,179,185,144,125,133,121,106,113,84,72]
[155,155,192,202,223,232,303,299,380,389,511,487,588,590,651,696,837,957,1015,1201,1267,1375,1736,2054,2428,2500,2475,2140,2119,2241,2162,2185,2462,2763,2831,3133,2935,2489,2642,2530,2525,2599,2669,3060,3168,3345,3223,3419,2707,2721,2681,2617,2823,3196,3254,3447,3395,2932,2851,2771,2724,2748,3077,3407,3529,3570,3322,2979,2921,2817,2821,2794,3080,3326,3455,3489,3220,2831,2850,2886,2620,2707,3028,3384,3582,4078,3278,2935,2930,2853,2713,2797,3056,3310,3369,3396,3369,2937,2921,2828,2775,2847,2994,3300,3461,3451,3082,2809,2765,2525,2396,2279,2446,2968,3041,2799,2500,2127,1961,1764,1466,1302,1392,1053,902,870,789,733,651,557,522,445,418,385,316,290,282,276,216,223,184,170,153,140,146,107,120,117,98,80]
[185,171,217,228,238,237,284,305,353,353,437,424,543,739,661,753,932,862,1032,1117,1310,1483,1568,1880,2169,2116,2023,1990,2152,2269,2279,2329,2448,2613,2916,2786,2672,2535,2657,2597,2575,2719,2585,2903,3132,3009,2888,2748,2746,2804,3414,2703,2856,3061,3161,3131,2936,2837,2932,3099,3030,2824,3020,3157,3279,3222,3079,2846,2960,2985,2931,2751,2947,3187,3239,3191,3010,2877,2909,3047,2840,2835,2983,3143,3274,3190,2921,2938,3363,3030,2854,2742,2864,3133,3235,3203,2870,2784,2999,2874,2808,2845,2892,3153,3293,3093,2851,2709,2744,2676,2425,2345,2363,2570,2644,2469,2189,1914,1827,1688,1393,1288,1164,1073,965,1079,761,726,617,563,554,470,422,375,355,288,262,252,229,221,192,190,157,144,128,117,124,103,91,79]
[163,194,180,221,239,255,265,319,348,388,448,449,564,619,636,720,985,905,1055,1157,1329,1459,1672,1950,2034,2047,1992,1885,2046,2222,2285,2320,2466,2576,2630,2622,2470,2543,2541,2536,2560,2556,2720,2812,3091,2900,2784,2746,2684,2757,2702,2660,2919,3568,3075,2912,2885,2890,2930,3010,2890,2911,2958,3005,3236,3098,2872,2864,2861,2886,2878,2949,2918,3021,3225,3030,2886,2780,2780,2872,2774,2810,2821,2947,3155,3098,2873,2769,2848,2819,2793,3283,2851,3076,3167,3023,2769,2654,2773,2878,2840,2791,2911,2981,3040,2910,2807,2692,2662,2598,2471,2433,2387,2480,2556,2289,2006,1803,1739,1556,1530,1264,1123,1002,982,857,823,744,792,574,477,446,423,356,370,305,319,257,220,215,210,172,144,118,101,102,130,93,84,85]
[157,179,220,221,239,243,287,319,345,392,430,509,530,624,626,725,786,936,1036,1405,1400,1488,1817,2128,2184,2095,1991,2007,2161,2234,2351,2434,2637,2832,2877,2868,2593,2483,2590,2580,2605,2634,2877,3049,3087,3032,2782,2787,2729,2656,2799,2683,3060,3143,3241,3027,3471,2906,2798,2928,2906,3057,3283,3453,3507,3277,2946,2887,2968,2902,2818,3043,3277,3328,3302,3196,2902,2925,2829,2900,2736,2862,3014,3134,3237,3130,2946,2863,2795,2858,2760,2896,3037,3233,3900,3091,2805,2952,2774,2782,2756,2804,2946,3128,3121,3025,2731,2703,2516,2583,2457,2403,2509,2740,2660,2399,2057,1812,1735,1628,1499,1330,1151,1038,991,882,779,792,680,599,514,571,401,381,351,305,292,252,215,202,198,153,171,135,118,127,117,87,96,74]
[181,186,210,230,247,270,279,336,354,385,480,461,532,559,691,748,831,986,1070,1315,1499,1738,2544,2428,2350,2405,2219,2065,2152,2239,2303,2638,2883,3117,3209,2966,2853,2672,2646,2677,2671,2842,3257,3371,3223,3170,2992,2926,2802,2862,2849,3025,3476,3526,3582,3391,3152,3061,2877,3507,2993,3358,3823,3730,3709,3559,3189,3053,2893,2953,2971,3316,3573,3607,3539,3444,3194,2913,2838,2761,2872,2913,3294,3406,3280,3185,3043,2769,2708,2847,2748,3035,3473,3711,3589,3345,3739,2897,2982,2749,2891,3147,3347,3403,3411,3220,2922,2812,2613,2535,2585,2741,2886,2928,2824,2561,2221,1918,1791,1705,1492,1398,1197,1073,974,850,816,662,643,576,517,473,383,382,407,264,282,239,211,220,184,163,164,159,129,120,90,101,79,83]
[190,200,208,227,236,258,313,303,357,417,428,534,556,624,678,786,895,1004,1133,1371,1739,1952,2389,2772,3244,3335,2525,2352,2322,2339,2646,3032,3338,3795,3686,3561,3115,2973,2902,2709,2883,3181,3460,3865,3881,3651,3251,3118,2922,2971,3076,3318,3656,4697,4118,3818,3439,3132,3048,3105,3373,3713,4075,4561,4482,4121,3701,3408,3136,3155,3232,3782,4020,4586,4463,3995,3627,3281,3144,3000,3296,4031,3761,4075,3924,3594,3300,3032,3003,2963,3083,3683,3938,4223,4487,3879,3494,3210,3015,3048,3245,3457,3844,4005,3950,3617,3339,2965,2898,2797,2828,3071,3224,3467,3449,3041,2520,2271,2305,1614,1509,1355,1115,1070,930,859,694,745,607,541,524,441,403,382,332,311,279,253,208,209,172,160,150,142,134,133,89,103,82,86]
[172,168,200,236,273,261,296,336,379,486,434,477,590,622,642,740,910,989,1162,1341,1830,2272,2829,3950,4359,3652,2957,2621,2607,2676,2834,3110,3891,4943,5108,4451,3767,3246,3100,2954,3120,3185,3899,4786,5165,4603,3727,4102,3081,3159,3382,3701,4136,5251,5338,4414,3759,3450,3300,3304,3608,3926,4724,5665,5649,4815,3976,3503,3274,3271,3550,3991,4562,5478,5733,4793,4184,3483,3345,3154,3211,3514,4037,4811,6077,4175,3676,3289,3102,3415,3408,3793,4482,5423,5182,4275,3804,3427,3226,3146,3400,3701,4156,5004,5101,4130,3595,3213,3083,2848,3066,3228,3764,4620,4371,3542,2775,2484,2124,1790,1459,1523,1102,1014,917,858,761,671,644,572,469,422,418,360,290,286,296,230,190,198,181,152,147,134,137,124,125,101,88,97]
[183,209,206,193,242,265,282,323,371,374,460,505,636,626,662,742,800,911,1083,1401,1689,2061,2696,4162,5003,4190,3203,2777,2572,2532,2816,3128,3965,5431,6006,4952,4028,3409,3043,2916,3079,3351,3839,5123,5830,4953,4117,3677,3132,3131,4032,3721,4315,5619,6024,4701,4199,3656,3427,3329,3595,3920,4758,6150,6580,5001,4180,3717,3350,3355,3543,3893,4705,5980,6137,5146,4235,3706,3340,3240,3215,3562,4070,5128,5677,4654,3986,4220,3334,3273,3384,3780,4300,5674,6089,4911,4187,3569,3317,3257,3352,3562,4297,5521,5706,4563,3901,3459,3048,3097,3125,3220,3789,5074,5161,3945,3159,2727,2198,1939,1554,1341,1108,1036,1093,827,778,701,603,531,446,453,376,371,315,323,291,229,213,167,179,162,135,129,145,106,97,96,107,69]
[189,169,203,230,226,242,292,290,332,410,440,518,536,626,687,901,853,922,1034,1227,1604,1849,2456,3383,4209,3694,3119,2720,2450,2358,2547,2896,3449,4527,5002,4479,3647,3263,2957,2786,2856,3167,3585,4320,4860,4586,3980,3436,3084,2900,3082,3327,4623,4619,5162,4605,4062,3476,3182,3081,3293,3598,4137,5065,5229,4626,4046,3576,3232,3129,3241,3613,4008,5040,5306,4839,4179,3648,3320,3157,3152,3241,3683,4465,4694,4425,3758,3505,3132,2988,3854,3402,4082,4834,5203,4405,3913,3459,3182,3020,3260,3394,3952,4977,4866,4468,3807,3356,2872,2736,2828,2993,3480,4137,4553,3802,2911,2578,2237,1821,1484,1259,1108,950,879,845,766,804,586,527,497,427,375,347,322,313,283,255,226,224,193,146,140,137,118,106,105,101,78,67]
[151,194,189,232,252,250,272,299,326,401,409,470,503,588,623,731,809,884,1219,1184,1336,1565,2053,2593,3137,2990,2709,2403,2268,2205,2303,2468,2979,3448,3919,3604,3428,3030,2746,2606,2615,2743,3054,3646,3936,3833,3478,3142,2901,2683,2772,2963,3392,3845,4200,3987,4319,3282,3033,2796,2883,3217,3550,4057,4364,4033,3687,3267,3035,2860,2977,3103,3569,4229,4471,4038,3683,3306,3154,3041,2851,2856,3238,3635,3828,3776,3345,3138,3005,2992,2788,3123,3504,4927,4265,3966,3492,3153,2982,2794,2907,3102,3489,4039,4101,3891,3450,3103,2781,2491,2547,2654,2813,3289,3469,3122,2688,2271,2110,1770,1489,1302,1072,995,909,842,758,722,604,564,584,411,385,313,348,310,274,275,230,189,199,150,138,136,126,104,104,102,78,78]
[150,191,190,198,239,255,298,297,383,425,404,480,505,577,670,708,792,929,1005,1161,1285,1422,2169,2165,2362,2305,2224,2174,2097,2191,2186,2288,2670,2977,3188,3018,2982,2683,2801,2591,2537,2539,2814,3097,3320,3227,3072,2797,2748,2718,2631,2719,3022,3380,3531,3479,3285,3092,2972,3458,2788,2872,3235,3590,3643,3521,3342,3000,3007,3005,2739,2997,3252,3714,3765,3535,3282,3049,3037,2827,2727,2900,3085,3428,3396,3323,3187,2910,2898,2911,2737,2808,3177,3508,3604,3460,3694,2911,2922,2808,2708,2874,3201,3463,3448,3265,2947,2861,2598,2570,2307,2303,2564,2755,2793,2694,2159,2013,1808,1640,1371,1232,1087,984,901,849,760,622,595,510,485,410,390,446,325,269,258,241,194,205,191,167,148,118,126,126,101,96,83,74]
[157,194,181,231,263,288,267,305,350,384,451,498,537,595,667,724,867,894,1023,1106,1301,1320,1626,1901,2571,2030,1894,1900,2092,2128,2276,2275,2408,2664,2743,2780,2459,2542,2591,2628,2436,2566,2568,2806,3046,2893,2701,2668,2813,2771,2780,2791,2803,3068,3267,3121,2842,2872,2893,2941,2752,2803,3492,3231,3266,3156,2836,2812,2957,2977,2828,2873,3068,3381,3379,3228,2903,2861,2898,2938,2704,2822,2970,3201,3188,3102,2832,2816,2902,2879,2839,2792,3033,3113,3307,3045,2803,2760,2875,3439,2801,2701,2754,3033,3164,2978,2753,2629,2504,2486,2365,2258,2354,2510,2572,2365,1925,1895,1704,1494,1334,1236,1045,1013,835,818,712,663,561,544,446,420,404,344,308,304,319,229,209,210,184,141,150,134,129,132,89,98,98,77]
[166,184,218,231,217,274,270,298,309,408,443,395,549,563,585,643,772,872,969,1040,1203,1316,1580,1835,1820,1781,1855,2156,1954,1956,2041,2090,2386,2467,2539,2434,2403,2316,2296,2526,2492,2537,2594,2834,2904,2700,2557,2558,2671,2628,2675,2678,2869,3083,3140,2968,2856,2828,2738,2783,2721,2776,2927,3067,3779,2941,2714,2794,2760,2860,2829,2826,3009,3063,3234,2929,2687,2775,2894,2883,2923,2822,2992,3097,3137,2885,2724,2764,2894,2797,2745,2745,2919,3122,3067,3019,2733,2647,2807,2779,2720,2633,3349,3088,2973,2754,2574,2564,2656,2477,2449,2363,2435,2403,2457,2121,1881,1734,1612,1435,1299,1143,1036,935,813,734,702,636,535,490,438,391,386,353,311,287,274,260,224,254,163,175,149,151,131,102,98,103,89,86]
[182,178,198,205,243,265,264,327,326,365,379,440,506,565,612,739,807,929,1037,1140,1272,1404,1701,1958,1986,2014,1862,1828,1901,2032,2530,2326,2457,2662,2653,2602,2327,2369,2434,2383,2428,2503,2832,2921,3016,2785,2654,2590,2605,2619,2646,2808,3038,3233,3216,3054,2751,2735,2711,2730,2779,2803,3082,3210,3263,3067,2822,3296,2609,2733,2828,2852,3238,3365,3263,2997,2869,2779,2780,2888,2820,2907,3216,3444,3393,3174,2833,2846,2780,2882,2781,2939,3120,3358,3185,3089,2768,2621,2675,2665,2652,2980,2719,3142,3118,3547,2557,2492,2563,2538,2487,2450,2658,2639,2595,2219,2006,1839,1619,1529,1222,1224,974,920,902,777,708,656,605,462,420,406,428,328,315,263,254,242,219,189,158,168,199,160,111,122,100,91,85,70]
[167,151,189,219,211,248,286,296,328,350,381,456,487,535,594,660,791,913,969,1172,1314,1567,1977,2242,2185,2154,2017,1820,1904,2023,2009,2275,2573,3271,3387,2689,2511,2336,2377,2374,2431,2993,3153,3134,3231,3034,2851,2653,2578,2687,2708,2940,3292,3561,3465,3330,3099,2827,2637,2660,2757,2909,3423,3532,3524,3258,2930,2722,2739,2708,2783,3735,3518,3731,3597,3275,3110,2747,2871,2760,2881,3345,3722,3869,3829,3467,3120,2819,2717,2883,2853,3061,3469,3663,3581,3291,2997,2642,2717,2609,2713,2992,3307,3492,3312,3154,2813,2596,3011,2475,2559,2742,3031,3137,2925,2563,2261,1912,1723,1553,1389,1193,1086,949,893,792,753,633,525,492,416,441,389,343,293,276,240,199,221,169,198,140,149,146,130,128,118,94,93,74]
[183,194,187,241,241,270,325,288,327,418,400,412,479,562,618,640,733,888,1039,1295,1671,1982,2247,2728,2905,2553,2368,2116,2067,2187,2467,2744,2985,3506,3571,3704,2752,2564,2570,2550,2800,3211,3497,3845,3995,3584,3234,2938,2740,2736,2908,3324,3610,4171,4117,3778,3214,2952,2786,2830,3079,3357,3665,3988,3951,3600,3184,3050,2817,2905,3113,3451,4607,4273,4360,3688,3275,3071,2871,2930,3312,3703,4109,4555,4544,3889,3496,3025,2955,2937,3040,3429,3850,4156,4178,3623,3160,3109,2811,2837,2952,3292,3615,4033,3979,3596,3026,2762,2671,2708,3326,2959,3440,3739,3519,3091,2425,2213,1901,1594,1268,1120,979,943,848,755,643,605,523,516,471,422,369,325,300,264,244,235,193,195,172,150,141,138,113,125,116,123,98,64]
[151,207,186,239,202,232,286,300,327,348,368,435,432,504,585,677,710,842,984,1286,1593,2053,2664,3675,4116,3421,2784,2368,2213,2323,2548,2782,3364,4503,4636,3821,3145,2802,3124,2699,2893,3184,4108,5102,5134,4221,3537,3174,2840,2921,3110,3361,4165,5207,5316,4377,3647,3061,2960,3025,3085,3566,4234,5040,5223,4054,3516,3184,2963,3064,3230,3632,4371,5421,5533,5485,3829,3268,2998,3191,3353,3862,4607,5940,6013,4696,3842,3288,3132,3071,3335,3755,4533,5664,5304,4262,3625,3181,3041,2985,3214,3575,4344,5279,5233,4213,3457,3079,2850,2807,3023,3336,3915,6070,4565,3389,2852,2496,1959,1598,1264,1226,1001,947,795,737,673,597,563,487,467,407,349,292,295,265,241,235,216,187,176,150,139,142,113,111,109,101,98,82]
[158,166,188,181,240,235,264,261,367,342,385,411,487,549,567,634,790,879,946,1276,1659,2009,2807,4269,4886,3852,2900,2747,2361,2455,2597,2787,3515,4867,5496,4394,3512,3061,2801,2734,2897,4032,4092,5761,6008,4525,3846,3264,3067,3004,3187,3550,4356,5935,6072,4669,3904,3460,2988,3134,3274,3583,4388,5898,5877,4636,3882,3454,3150,3110,3451,3737,4715,6360,6251,5204,4226,3687,3238,3978,3640,4048,5176,6777,6878,5201,4222,3468,3323,3245,3563,3848,4967,6786,6425,4813,4021,3365,3100,3095,3365,3684,4636,6297,6225,4676,3916,3322,2958,2812,3092,3308,4393,5873,5642,4010,3755,2494,2087,1763,1407,1182,945,891,823,669,677,623,556,472,413,378,331,293,251,256,248,211,213,182,168,137,132,124,131,126,105,103,71,76]
[171,190,193,199,196,218,272,346,331,350,368,406,478,527,583,676,754,767,954,1117,1436,1675,2476,3458,4141,3543,2843,2721,2299,2252,2440,2677,3261,4010,4719,4128,3397,3109,2660,2600,2647,2961,3543,4548,5835,4173,3562,3175,2944,2825,2882,3235,3805,4899,5100,4251,3740,3276,2982,2838,2989,3265,3853,4574,4799,4173,3675,3273,3003,2991,3115,3516,3805,4765,5195,4636,3803,3485,3095,2894,3228,4180,4073,5097,5484,4595,3860,3485,3025,2970,3238,3495,4196,5281,5413,4594,3839,3351,2981,2915,3155,3252,3798,4856,5304,4461,3709,3195,2878,2564,2719,3045,3618,4473,5115,4067,2822,2644,2150,2028,1323,1160,996,919,804,707,654,570,536,459,443,373,315,315,252,267,265,219,214,208,190,167,150,143,114,134,100,71,65,72]
[138,137,193,206,187,229,251,252,294,332,468,384,450,509,528,643,709,759,849,1047,1236,1494,1868,2568,2855,2781,2394,2248,2026,1959,2001,2227,2610,3339,3584,3277,2815,2694,2462,2255,2366,2446,2921,3503,3857,3638,3178,3451,2698,2626,2655,2766,3117,3797,3972,3671,3180,3059,2839,2612,2577,2709,3127,3812,3922,3676,3364,2977,2749,2731,2793,2865,3327,3926,4169,3963,3465,3173,2934,2778,2793,2953,3581,4221,5289,3939,3404,3052,2777,2732,2839,2963,3638,4232,4432,3780,3300,2901,2751,2656,2650,2708,3228,3566,3845,3630,3116,2783,2540,2347,2355,2512,2910,3597,3769,3354,2710,2360,2115,1713,1398,1292,914,870,788,661,674,562,515,460,411,376,372,314,268,258,280,207,207,177,166,157,117,150,128,122,90,88,98,74]
[139,190,179,185,213,223,236,252,313,316,329,424,499,482,562,569,693,827,872,1003,1149,1289,1605,2047,2117,2184,1980,1922,1909,1887,1835,2061,2210,2653,2821,2736,2600,2446,2280,2314,2171,2350,2569,2825,3117,2990,2816,2519,2566,2575,2996,2511,2816,3191,3250,3149,2937,2604,2610,2484,2385,2468,2748,3107,3231,3172,2968,2633,2561,2596,2565,2610,2876,3187,3283,3199,2899,2672,2801,2606,2575,2676,2926,3507,3531,3464,3097,3360,2757,2731,2575,2646,3008,3323,3450,3262,2991,2675,2663,2557,2364,2408,2714,3109,3160,3011,2693,2549,2334,2225,2143,2181,2419,2790,2789,2803,2231,1985,1838,1561,1187,1114,904,806,917,637,596,528,495,468,439,366,329,326,325,265,226,246,202,176,144,155,129,135,115,117,111,89,82,81]
[119,158,175,207,196,202,244,264,231,316,346,349,390,457,516,524,739,720,829,922,1078,1150,1379,1768,1859,1712,1640,1642,1736,1770,1874,1895,2018,2233,2360,2331,2097,2028,2215,2183,2075,2071,2218,2500,2630,2588,2307,2220,2413,2403,2297,2249,2449,3263,2830,2699,2470,2415,2577,2417,2379,2421,2458,2775,2838,2786,2536,2443,2565,2550,2474,2571,2607,2940,3012,2917,2592,2443,2536,2605,2398,2548,2578,2927,3071,2964,2602,2416,2585,2645,2966,2445,2573,2880,2952,2854,2496,2479,2490,2438,2295,2322,2298,2624,2651,2667,2255,2235,2329,2229,2119,2035,2127,2360,2462,2274,1868,1778,1641,1365,1147,1060,909,876,756,674,567,666,467,450,399,366,336,311,288,255,242,224,224,180,179,138,135,139,127,106,91,77,74,79]
[130,148,174,190,195,229,206,276,272,311,326,334,374,413,482,512,585,717,789,1028,1101,1163,1391,1655,1723,1663,1564,1444,1627,1733,1697,1747,1952,2091,2175,2118,2020,1947,2094,2018,2098,2121,2216,2412,2448,2375,2115,2100,2147,2184,2249,2224,2301,2617,2671,2546,2775,2306,2286,2269,2296,2290,2432,2585,2773,2518,2304,2333,2322,2354,2288,2452,2559,2770,2786,2761,2363,2359,2384,2468,2439,2416,2414,2699,2770,2641,2391,2288,2484,2372,2362,2255,2476,3269,2821,2652,2425,2235,2363,2289,2301,2168,2309,2464,2483,2404,2107,2156,2199,2046,2053,1960,2021,2379,2330,2192,1769,1659,1520,1275,1095,996,866,792,703,634,588,567,499,437,412,445,333,297,304,283,223,209,216,196,152,144,120,138,118,124,114,106,85,79]
[164,163,193,158,192,211,217,230,296,324,304,342,376,405,456,546,609,683,837,890,1095,1241,1988,1845,1757,1720,1556,1441,1517,1572,1642,1805,2034,2211,2313,2167,2058,1934,1862,1911,1938,1963,2200,2587,2313,2351,2129,2017,1966,2073,2038,2294,2486,2670,2698,2506,2294,2253,2215,2721,2179,2378,2683,2790,2686,2563,2369,2164,2238,2238,2290,2452,2782,2846,2896,2740,2462,2266,2266,2277,2220,2397,2620,2828,2891,2723,2166,2247,2238,2293,2185,2450,2684,2815,2797,2744,2728,2164,2197,2243,2138,2230,2427,2539,2523,2291,2052,2043,1936,2087,2034,2175,2410,2409,2367,2062,1722,1493,1371,1172,1071,854,832,758,656,620,580,524,487,403,388,345,299,347,261,267,259,224,182,178,142,142,118,129,116,114,98,98,78,60]
[142,170,185,174,197,189,218,233,254,309,312,357,368,413,447,516,624,651,745,987,1145,1499,1834,2223,2203,2342,1715,1554,1474,1531,1626,1982,2297,2456,2445,2290,2070,2003,1812,1870,1884,2225,2580,2801,2657,2560,2189,1994,1938,2159,2117,2326,2866,2970,2986,2781,2447,2089,2089,2028,2237,2394,3500,3001,3034,2768,2457,2237,2240,2166,2366,2604,3030,3256,3051,2912,2654,2213,2257,2233,2222,2459,2955,3008,2955,2775,2427,2191,2166,2115,2202,2439,2977,3081,3063,2855,2436,2201,2078,2523,2051,2374,2649,2714,2727,2503,2165,1965,1939,1984,1911,2312,2706,2810,2755,2375,2004,1711,1437,1208,1067,897,810,689,676,607,548,500,487,436,380,360,332,262,260,239,263,216,180,187,142,126,132,141,95,125,83,97,79,78]
[156,147,146,145,181,202,225,218,233,316,303,325,341,384,451,513,553,596,753,953,1236,1715,2093,2642,2803,2385,2083,1682,1915,1567,1770,2053,2471,2805,3013,2489,2164,1949,1878,1968,2021,2382,2720,3002,3192,2748,2336,2201,2033,2062,2259,2502,2858,3419,3497,3033,2569,2359,2264,2230,2297,2753,2997,3653,3677,3718,2695,2392,2254,2248,2551,3002,3405,3883,3964,3372,2851,2497,2357,2347,2466,2758,3171,3460,3496,3010,2508,2343,2259,2220,2506,2737,3080,3492,3702,3192,2569,2227,2171,2094,2106,2518,3241,3097,3137,2681,2276,2135,1968,2056,2257,2635,3171,3677,3499,2923,2164,1977,1529,1213,981,855,809,750,670,583,549,475,455,427,359,307,311,286,247,249,206,192,187,179,182,152,113,115,117,97,92,84,95,70]
[133,139,156,139,211,206,205,231,217,273,323,298,337,381,404,491,494,604,695,971,1346,1821,2446,3663,4313,3433,2571,2118,1814,1706,1802,2659,2925,3922,4323,3320,2712,2208,1977,1993,2188,2600,3178,4140,4474,3441,2850,2359,2141,2122,2283,2627,3418,4728,4691,3646,2898,2677,2362,2289,2420,2768,3555,4654,4943,4132,3115,2716,2861,2340,2596,3094,4109,5176,5462,4158,3193,2732,2419,2379,2525,2947,3822,4757,4851,3727,2879,2625,2279,2359,2661,2968,3895,4909,4937,3963,3002,2539,2278,2153,2343,2660,3251,4159,4395,3958,2625,2229,2108,2172,2494,2822,3874,4978,4914,3467,2647,2155,1656,1268,969,827,773,685,662,567,563,453,446,381,334,300,299,225,259,255,194,194,169,165,156,151,146,114,124,91,84,84,77,77]
[138,147,142,149,162,167,175,214,220,232,289,307,325,355,403,458,463,511,682,849,1300,1773,2697,4149,4908,3775,2779,2268,1935,1743,1766,2193,2861,4970,4712,3639,2799,2428,2055,2065,2092,2410,3180,4457,4925,3923,3080,2572,2165,2113,2156,2664,3495,4849,5014,3893,3112,2619,2182,2152,2473,2565,3533,4996,5151,4258,3193,2676,2274,2267,2439,3342,4037,5451,5645,4212,3451,2735,2305,2284,2423,2748,3603,5141,5137,4039,3254,2618,2243,2264,2402,2894,3932,5116,5523,4193,3244,2567,2341,2269,2257,2516,3359,4657,4952,3844,3073,2378,2565,2129,2293,2759,3785,5480,5443,3693,2742,2181,1603,1218,1053,795,651,629,565,524,518,460,419,378,366,291,304,269,240,235,214,169,173,160,123,138,132,111,117,120,87,86,75,73]
[134,136,129,202,159,166,186,209,208,259,263,270,299,359,401,438,457,496,614,728,1034,1365,2132,2998,3611,3016,2502,2086,1681,1500,1589,1782,2404,2923,3560,3276,3300,2092,1867,1793,1821,2070,2654,3348,3729,3271,2640,2241,1948,1864,1914,2116,2869,3569,3813,3475,2514,2334,2015,1938,1980,2240,2849,3662,3886,3420,3207,2327,1991,1975,1985,2367,2967,3989,4996,3616,2878,2454,2132,2093,2095,2320,3046,3763,3951,3316,2762,2278,2138,1997,2062,2453,3050,3871,4134,3513,2800,2226,1996,1982,2004,2189,2841,3424,3697,3153,2483,2136,1891,1736,1915,2747,3038,3770,3987,3235,2475,1853,1475,1082,893,765,646,554,521,493,443,402,397,371,325,307,267,234,243,224,242,205,147,156,131,141,118,113,88,96,94,77,84,82]
[111,126,191,162,175,175,190,216,223,206,280,249,283,319,361,358,450,458,547,611,797,1042,1494,1903,2289,2374,2066,1844,1436,1323,1260,1298,1618,2137,2570,2483,2247,1889,1591,1754,1497,1605,2001,2458,2817,2600,2242,1973,1751,1586,1604,1763,2186,2601,2846,2573,2338,1940,1718,1586,1664,1820,2227,2729,2866,2719,2443,2033,1747,1572,1696,1917,2228,2942,3056,2925,3076,2096,1760,1737,1720,1912,2289,2856,2916,2583,2283,1989,1751,1615,1670,1820,2338,2945,3021,2738,2419,1997,1643,1648,1496,1732,1977,2669,2707,2485,2042,1768,1546,1442,1515,1830,2171,2681,3430,2555,1994,1573,1293,1036,904,694,609,557,539,424,430,441,376,336,328,282,274,245,243,214,182,194,161,159,135,148,121,93,111,90,110,88,69,64]
[111,149,151,148,185,164,205,191,229,249,251,277,311,358,350,361,417,480,547,605,825,1043,1280,1566,1730,1500,1291,1154,1048,1086,1088,1367,1674,1795,1771,1782,1410,1340,1251,1506,1347,1704,1877,1973,1956,1821,1443,1389,1400,1320,1464,1796,2003,2117,2103,1875,1480,1404,1581,1398,1575,1854,2172,2117,2130,1962,1588,1471,1497,1403,1652,1924,2199,2248,2316,2019,1739,1865,1440,1459,1678,1894,2009,2048,2115,1810,1585,1459,1418,1493,1645,1761,2104,2168,2045,1820,1527,1448,1397,1358,1506,1733,2061,1935,1866,1677,1443,1316,1245,1156,1476,1724,1850,1969,2103,1447,1167,1024,841,698,630,592,523,470,426,415,375,340,289,287,251,255,238,214,193,213,168,154,126,123,129,105,115,84,81,95,78,65,55,56]
[115,118,127,146,147,203,173,175,203,223,226,285,256,313,278,332,388,398,453,472,530,605,712,926,1056,1136,1084,1010,963,997,927,1025,1034,1261,1380,1413,1335,1216,1157,1178,1091,1124,1253,1747,1528,1526,1357,1337,1287,1215,1236,1230,1434,1621,1607,1629,1546,1409,1317,1330,1303,1262,1457,1605,1706,1665,1554,1417,1415,1297,1300,1381,1489,1714,1778,1658,1599,1477,1381,1364,1582,1283,1439,1551,1621,1587,1406,1384,1272,1266,1355,1320,1391,1590,1774,1683,1557,1467,1359,1279,1282,1222,1301,1479,1513,1432,1365,1213,1206,1162,1152,1168,1313,1443,1470,1341,1176,1184,899,764,666,602,513,487,443,392,410,335,326,319,304,230,220,240,225,210,166,154,170,158,117,117,114,101,93,81,77,85,68,74]
[124,142,136,160,154,144,170,177,244,216,198,230,234,268,283,277,351,355,393,445,463,574,570,756,754,828,843,854,788,757,831,851,902,975,987,1037,995,970,981,986,932,1026,1047,1149,1134,1336,1067,1095,1079,1072,1080,1181,1190,1240,1264,1249,1189,1186,1165,1100,1155,1161,1225,1288,1317,1325,1243,1161,1183,1141,1205,1148,1252,1327,1319,1380,1324,1244,1206,1197,1159,1173,1198,1451,1339,1243,1198,1167,1095,1072,1169,1167,1212,1324,1316,1242,1182,1183,1101,1117,1121,1161,1106,1166,1105,1143,1124,1055,967,1002,936,959,943,1042,933,956,838,824,715,650,677,531,500,437,448,397,366,333,275,254,248,287,228,225,197,193,161,154,162,118,119,97,105,103,83,108,95,73,68,79]
[114,113,128,120,150,146,156,161,186,197,168,246,227,234,291,257,328,301,355,382,440,488,536,531,612,627,673,651,679,707,721,732,782,850,880,911,804,836,899,805,918,917,974,1045,918,921,966,1016,1149,976,1017,1076,1024,1084,1143,1109,1042,1042,994,1013,1037,1072,1159,1111,1082,1034,1026,1065,1061,1039,1080,1063,1127,1159,1176,1103,1036,1052,1095,1058,1061,1051,1053,1120,1018,1216,1023,1073,949,924,1022,983,1055,1078,1034,1045,987,1027,1009,944,1038,939,1022,1012,959,971,969,921,942,883,856,899,805,847,793,768,780,667,648,589,562,462,521,509,388,366,335,321,289,282,251,231,196,191,196,160,138,158,129,132,149,114,104,103,94,87,90,82,67,70]
[103,108,140,128,136,143,149,172,177,166,203,207,227,240,288,281,273,352,330,371,381,427,450,532,492,586,608,621,598,612,650,691,740,793,738,749,767,747,762,833,835,894,838,907,882,863,925,887,859,880,971,1176,989,961,975,915,963,956,964,959,971,1025,986,986,1020,912,1002,934,967,930,917,990,1022,1024,1039,1078,981,940,932,1004,912,1007,976,969,940,922,945,820,1108,938,957,918,973,947,889,901,860,886,901,878,877,832,911,874,883,775,800,804,763,797,752,760,692,735,670,614,657,597,541,524,489,494,454,406,392,331,408,298,296,246,254,205,205,192,175,166,165,167,131,129,120,112,110,98,87,88,89,72,58,55]
[104,95,103,118,120,132,162,153,178,181,192,198,202,263,235,266,270,340,307,327,405,394,390,454,474,450,508,508,558,574,604,602,607,638,681,646,679,694,656,675,733,750,733,812,712,773,764,787,696,755,763,791,780,819,951,799,826,786,849,832,788,913,829,901,824,921,869,916,838,854,959,861,879,872,834,838,871,860,862,830,845,871,839,827,814,879,852,833,819,824,843,1006,813,774,722,808,735,819,788,830,771,789,760,742,756,721,691,709,641,696,700,691,630,681,625,587,569,496,530,475,454,452,391,378,367,342,311,280,234,293,231,175,204,180,177,165,155,148,131,122,107,111,100,101,83,80,77,70,66,69]
[116,99,97,109,123,131,140,155,150,150,169,201,193,218,227,234,244,284,298,324,382,328,411,361,396,468,468,470,502,519,499,576,560,608,592,606,606,639,631,620,645,699,689,745,732,684,781,693,706,734,809,724,755,761,765,803,755,930,726,710,732,748,795,780,790,795,799,796,814,799,805,770,786,822,798,833,846,823,729,757,744,776,817,792,771,807,779,748,736,747,770,765,716,702,871,743,773,718,690,748,695,727,661,755,707,680,734,677,612,629,641,626,616,557,560,498,544,530,424,455,422,403,398,360,328,321,297,286,256,253,211,204,259,184,155,146,161,126,116,123,112,125,98,94,78,68,71,67,66,55]
[101,91,92,113,132,131,143,146,168,166,179,188,185,189,224,231,265,271,274,287,295,321,365,422,395,405,419,425,423,443,475,487,504,518,538,533,599,537,553,557,568,697,572,657,704,690,691,603,652,687,648,688,668,697,752,703,676,682,736,702,812,715,726,753,717,738,696,739,678,713,706,746,744,736,674,748,715,693,654,733,650,705,759,679,722,696,720,669,651,678,633,696,691,684,623,676,666,756,656,647,610,633,642,624,657,581,603,553,613,584,536,498,543,524,516,487,463,470,440,414,402,363,353,330,293,308,315,255,236,239,180,198,183,181,182,162,136,131,127,116,110,106,89,86,77,97,80,62,73,59]
[102,89,93,117,117,116,126,131,123,139,177,175,176,174,181,213,271,261,253,274,284,285,346,339,347,337,454,408,380,426,413,497,450,492,489,490,483,502,530,509,565,592,558,622,627,639,623,615,615,592,573,611,652,637,618,631,611,582,647,661,670,608,708,806,701,734,645,650,660,650,607,696,680,706,682,685,675,653,648,675,661,661,691,645,642,643,659,635,612,627,641,637,612,620,643,597,579,601,569,568,614,695,612,576,591,564,559,525,517,535,458,482,447,473,452,442,424,384,403,354,375,341,343,319,319,274,279,255,230,221,197,191,174,179,161,141,124,126,151,114,103,86,102,87,84,83,75,69,60,60]
[99,95,93,111,114,139,127,127,141,155,144,159,167,196,201,172,216,206,255,265,294,248,303,329,344,333,366,360,391,467,367,435,391,465,454,496,483,500,509,477,506,503,513,545,543,498,523,513,518,505,562,559,635,557,602,599,564,589,539,524,593,584,575,582,581,581,693,601,566,589,587,632,601,594,599,612,616,610,579,562,574,616,583,595,590,615,574,529,538,589,600,544,566,598,538,580,539,537,554,513,539,554,525,600,501,522,500,478,464,500,432,427,460,405,414,443,415,375,380,347,295,292,293,294,282,255,243,240,209,198,214,173,170,177,147,150,141,113,122,134,90,110,76,84,92,89,68,71,45,66]
[105,94,93,95,109,111,129,121,129,156,158,169,149,168,177,196,175,226,203,225,264,271,258,275,321,277,305,302,329,347,348,445,361,337,422,451,402,427,381,405,447,472,496,555,466,488,468,483,537,503,504,497,516,518,499,551,576,522,495,498,517,565,550,530,566,516,523,577,518,626,552,530,558,519,567,546,530,550,571,511,493,520,567,514,553,546,550,512,564,513,506,513,523,533,553,564,465,513,437,489,412,454,467,486,472,411,535,451,439,408,403,451,384,373,418,385,362,349,320,325,327,286,291,273,275,247,234,225,195,205,181,172,130,152,129,120,122,128,115,112,100,108,71,100,78,71,69,53,47,57]
[82,85,97,86,115,117,109,125,119,136,141,131,154,158,160,181,181,175,188,217,225,224,250,278,257,258,282,287,298,312,313,343,347,385,435,371,396,382,415,412,412,435,433,476,423,478,468,430,473,450,415,471,486,496,482,453,548,492,486,468,498,507,519,522,521,545,466,484,501,442,510,521,610,497,490,503,540,493,471,484,441,498,501,475,498,484,478,479,491,431,494,462,475,474,462,419,430,433,403,441,410,444,402,457,394,431,412,391,384,471,355,395,378,335,336,330,343,339,340,293,300,270,233,249,238,241,219,196,214,178,172,176,155,142,142,123,119,109,120,102,81,96,78,85,77,57,51,68,59,48]
[78,107,91,94,127,120,96,115,129,135,141,140,176,162,155,159,175,180,199,177,208,229,205,219,225,275,225,255,247,278,296,304,319,322,321,353,335,342,420,358,393,384,387,393,443,394,423,387,409,420,416,440,429,483,443,448,397,459,444,404,481,457,456,414,480,461,463,467,450,433,454,424,418,444,463,554,433,445,469,444,426,385,418,468,431,422,476,422,409,375,417,431,436,416,433,392,384,411,382,396,377,379,395,392,389,364,362,372,353,376,314,299,390,325,309,318,281,287,298,246,273,247,255,214,230,223,205,198,164,190,173,150,149,129,124,116,121,112,77,103,94,79,79,79,65,57,75,56,43,47]
[83,92,102,101,94,127,113,103,127,133,121,117,134,123,139,130,152,145,161,173,182,181,162,202,245,201,220,245,251,249,298,298,269,256,316,314,313,279,326,278,329,414,369,385,363,403,388,364,382,348,402,406,391,430,390,400,388,362,417,402,412,388,434,439,452,401,424,416,417,418,428,440,403,374,436,439,410,414,491,385,418,383,411,398,439,411,386,394,420,371,406,390,400,402,379,410,395,394,390,364,346,349,351,323,342,338,334,324,334,308,293,314,303,281,327,267,350,264,260,236,251,229,219,219,202,186,197,175,177,175,161,158,143,145,136,128,113,121,108,84,85,74,78,83,56,76,60,66,51,59]
[76,68,85,105,96,103,100,120,98,134,126,142,123,127,126,153,152,168,154,134,173,167,199,203,183,215,227,216,223,251,267,248,275,283,258,300,276,319,293,315,318,321,352,313,427,345,377,326,356,364,383,335,352,352,364,376,356,394,361,387,367,387,373,388,387,387,362,396,404,355,356,377,364,420,394,382,379,357,384,389,383,488,360,414,411,397,373,373,383,331,341,379,327,336,386,334,345,327,354,302,274,320,299,343,306,333,319,276,277,288,332,301,251,283,249,265,235,239,277,219,208,202,204,212,194,171,166,182,180,157,124,145,135,134,119,105,119,101,91,90,91,91,79,81,65,66,68,43,55,67]
[81,70,76,94,92,72,101,96,112,135,126,102,128,120,141,128,142,136,172,151,163,166,179,146,183,200,184,194,211,218,250,222,246,246,245,294,258,260,309,290,263,320,320,298,287,320,305,374,280,294,325,323,340,395,350,334,327,351,375,333,322,356,354,344,330,357,349,386,378,372,363,339,374,369,386,354,367,357,343,318,349,372,336,369,420,378,322,346,327,331,297,334,342,356,312,301,345,301,315,311,304,281,318,295,299,286,291,251,264,260,287,265,234,257,235,203,264,230,234,210,190,187,219,162,175,184,147,163,143,153,148,133,110,116,122,119,93,95,87,72,82,82,74,67,48,64,55,59,38,48]
[82,74,96,82,96,101,91,91,119,105,114,103,136,124,113,138,128,116,158,147,169,189,161,186,180,183,194,204,195,215,235,267,236,269,279,244,246,254,270,299,272,269,276,290,267,303,290,350,311,297,287,294,310,299,331,324,323,331,336,278,312,305,296,306,308,291,339,329,327,311,348,335,316,311,366,338,310,320,342,348,330,310,336,325,334,291,317,297,283,296,267,302,273,286,301,275,299,285,278,291,294,298,265,256,263,258,236,274,255,191,226,228,186,231,216,190,206,224,198,193,161,168,232,142,151,151,137,127,126,115,125,139,112,108,94,96,94,85,80,86,78,72,72,56,54,60,60,49,36,43]
[58,55,78,101,80,85,97,95,98,91,88,109,97,115,126,109,123,126,156,129,161,141,139,138,167,165,177,168,196,187,174,227,229,208,232,224,220,244,248,249,270,263,256,260,284,275,268,276,299,258,295,281,276,282,300,281,287,270,298,265,353,282,311,292,285,299,270,284,306,287,272,280,282,298,308,291,305,298,299,288,300,284,293,294,283,304,331,336,285,264,292,248,282,257,248,259,239,257,262,255,261,234,243,242,253,226,206,234,234,233,215,247,205,186,181,180,190,197,171,195,169,144,169,125,151,185,131,137,148,132,116,116,108,121,92,88,116,99,84,64,83,55,61,59,64,60,55,42,54,40]
[60,74,82,80,72,88,85,88,94,79,96,107,91,116,102,127,117,123,127,134,138,132,132,152,157,135,166,180,183,195,176,186,194,173,216,217,214,214,215,208,228,273,243,240,257,242,217,254,262,265,279,256,265,334,310,289,259,264,243,268,260,279,274,269,280,277,271,276,249,254,259,267,279,272,275,245,256,240,271,268,296,278,292,283,239,253,278,284,275,233,261,233,245,311,219,250,239,250,252,246,257,243,226,238,211,218,196,227,204,218,203,206,169,190,182,191,203,158,166,168,158,163,150,143,126,129,120,133,134,131,131,103,106,115,99,83,66,91,71,60,66,62,63,62,67,63,64,52,57,43]
[58,65,74,76,80,75,74,79,76,105,104,108,84,108,119,102,108,129,115,127,157,186,134,136,141,127,150,166,152,182,174,166,206,169,190,193,212,225,206,203,211,228,195,223,232,226,201,196,245,221,217,219,256,239,219,228,250,239,279,250,260,234,260,255,262,252,247,278,259,265,234,244,256,276,272,265,243,300,244,264,227,249,237,267,248,255,225,241,234,222,224,213,241,211,215,252,278,182,231,239,223,230,234,203,216,202,212,187,189,196,156,187,162,168,162,158,168,170,162,136,156,149,138,131,115,128,119,123,129,123,116,120,133,109,96,76,80,91,83,77,72,74,64,63,45,47,39,49,51,39]
[64,73,72,60,63,71,83,83,66,114,93,95,100,102,100,106,116,98,107,115,108,123,154,133,138,127,127,139,134,171,143,168,157,186,169,169,194,185,170,242,194,187,217,193,196,220,188,203,197,202,198,256,216,250,208,243,223,234,249,230,211,212,242,246,243,229,225,228,218,238,223,213,230,217,248,224,214,269,236,242,208,237,201,269,197,254,227,214,223,229,216,238,231,217,219,194,208,223,177,195,198,223,182,179,197,162,197,184,151,180,174,177,151,185,185,148,149,136,128,137,152,143,126,137,126,120,97,136,109,100,88,89,94,77,78,79,70,69,63,60,59,74,63,47,55,52,47,46,31,40]
[65,58,73,64,72,99,64,76,85,72,82,93,77,95,91,77,104,97,107,117,107,135,128,111,120,128,125,123,166,125,162,151,150,169,162,161,167,150,178,169,182,170,242,198,191,209,182,171,185,196,217,192,188,204,234,215,197,201,205,229,212,214,200,193,246,219,224,218,215,209,205,216,222,204,223,228,188,193,215,263,210,206,204,201,212,192,172,194,205,179,202,194,214,196,188,204,195,183,202,173,199,159,168,171,166,184,176,155,171,190,162,172,151,145,164,159,137,168,129,129,122,126,118,110,107,108,108,87,87,106,73,86,87,67,86,80,74,68,64,74,81,48,52,72,44,40,36,41,37,49]
[51,61,61,64,60,76,67,66,100,72,63,77,104,89,89,89,73,112,85,100,94,113,129,112,111,127,126,125,121,126,127,143,162,146,176,133,144,168,144,144,178,162,154,178,169,226,186,199,187,204,163,192,173,179,191,190,205,206,231,187,193,178,197,185,220,203,202,209,205,225,188,225,199,224,207,185,185,211,229,181,201,221,177,243,196,199,186,171,202,146,187,175,172,167,183,167,163,155,168,194,182,206,172,159,154,154,160,164,153,141,139,138,148,108,139,139,143,129,114,145,160,121,109,113,108,96,81,94,85,87,87,87,91,67,85,58,74,70,62,63,74,56,68,55,44,51,48,39,40,39]
[47,70,66,48,59,70,59,66,81,70,85,90,73,69,78,84,86,90,85,98,105,92,102,110,93,89,128,121,123,100,121,123,125,139,134,144,147,139,153,152,144,139,160,167,144,171,152,168,220,163,175,177,166,180,190,178,167,192,177,170,168,178,198,191,178,191,157,178,201,152,185,185,204,184,175,177,164,184,194,169,168,156,183,181,159,207,173,185,146,167,168,139,165,177,146,157,155,167,156,167,156,156,123,161,138,143,142,140,145,142,138,131,125,114,105,119,128,107,132,108,106,85,92,121,95,86,90,100,84,88,82,74,68,79,73,66,65,57,54,73,50,82,51,60,44,40,34,52,40,36]
[58,57,73,60,64,70,63,67,70,77,80,84,71,83,97,86,95,93,94,104,96,114,97,91,96,130,134,110,106,115,124,124,121,114,115,140,138,156,133,135,135,164,150,156,155,146,146,151,167,164,174,211,169,170,159,183,184,161,163,147,179,138,182,178,172,137,183,170,174,171,196,198,183,216,187,179,165,164,152,165,202,175,160,169,156,157,147,163,193,153,153,161,150,163,158,159,153,142,140,146,160,153,125,156,130,143,124,128,126,115,117,113,108,127,126,108,106,109,108,85,91,91,90,94,102,91,102,75,98,68,87,75,73,83,62,69,58,61,68,54,50,49,41,59,37,48,35,44,39,43]

{"sheet":"Figure_1D_layer_17","index":17,"n_rows":150,"n_cols":150,"rows_kept":150}
[21,20,29,14,27,25,18,20,29,23,26,20,27,30,39,33,23,14,28,28,29,35,26,43,48,46,50,43,45,45,61,48,40,49,40,51,45,50,51,58,60,50,62,50,55,66,42,58,54,56,53,45,64,63,50,55,46,48,54,52,60,54,52,59,56,53,61,49,77,52,44,66,70,60,68,48,63,65,54,53,67,58,61,51,55,51,68,76,62,74,66,52,66,61,41,59,58,51,50,55,76,39,54,71,58,60,45,61,41,49,43,54,39,62,47,45,42,40,37,46,48,33,42,38,34,32,27,35,37,28,33,30,30,28,25,24,14,18,20,24,23,19,24,15,19,23,26,19,16,23]
[25,18,20,25,22,16,24,29,23,19,16,23,32,19,32,24,30,29,41,34,40,39,43,51,56,47,36,61,60,58,76,68,63,65,56,64,68,64,68,74,79,71,66,55,69,60,58,79,64,73,90,67,56,73,60,77,63,73,78,80,72,57,75,71,56,71,74,82,63,87,71,83,75,65,74,74,76,67,77,98,63,63,67,65,46,79,68,80,79,79,60,77,74,61,78,75,59,55,67,71,71,74,62,77,60,60,85,68,57,68,49,79,59,49,53,72,50,55,38,40,41,47,30,42,43,34,31,41,33,34,37,29,31,30,16,23,18,17,30,17,13,23,23,19,18,26,24,16,22,14]
[22,19,18,24,34,19,24,25,25,25,29,23,28,19,40,47,31,32,38,57,55,57,52,59,63,63,62,70,59,75,75,71,74,74,85,74,85,93,71,74,76,73,83,92,74,96,70,72,78,82,70,82,94,67,55,93,88,97,94,89,107,80,103,87,89,90,90,85,75,96,78,87,82,111,80,94,100,90,79,77,100,85,100,85,84,83,79,75,87,90,93,103,102,77,87,106,72,84,77,74,81,84,75,77,72,89,77,87,81,69,73,72,71,61,65,73,49,56,63,57,57,46,42,35,51,37,42,37,28,31,29,22,31,29,20,28,17,16,18,22,21,16,17,27,13,24,22,25,21,16]
[20,20,27,20,22,22,22,27,25,24,21,27,29,33,24,37,39,37,49,57,62,65,42,86,73,68,64,75,87,72,79,72,93,86,78,82,97,107,94,101,105,85,105,103,96,95,100,84,92,87,88,112,93,81,78,82,95,111,113,100,99,126,92,86,117,106,95,102,107,109,95,114,101,101,107,88,96,98,94,101,99,95,109,80,70,101,125,97,98,87,93,103,90,96,105,83,93,90,119,115,74,92,88,98,96,85,96,90,74,73,84,79,80,59,73,67,65,56,65,59,51,56,60,46,47,54,43,39,38,33,31,32,28,35,21,15,24,21,12,17,15,16,15,25,31,16,16,14,22,25]
[28,17,25,30,27,32,27,30,32,32,28,32,44,41,44,37,47,57,73,74,70,57,78,69,71,77,96,81,78,115,123,116,97,104,109,104,111,118,117,122,115,120,106,103,103,116,100,105,103,116,120,96,119,115,108,105,105,113,119,123,118,139,101,111,119,118,139,137,114,97,107,117,125,116,127,107,123,147,133,130,124,107,112,109,118,135,141,111,137,129,114,108,128,109,128,113,126,113,110,123,107,107,96,100,102,115,116,107,100,92,80,100,84,72,91,97,90,71,66,66,71,64,65,63,44,50,37,51,51,32,46,36,35,26,29,33,25,21,22,17,27,22,20,14,21,24,19,20,20,18]
[25,26,30,28,25,26,31,29,33,39,48,34,43,35,57,49,75,59,64,56,74,87,78,85,84,98,79,96,107,80,92,113,116,123,124,113,129,121,122,158,126,110,110,117,119,130,118,111,146,124,112,141,124,131,124,127,126,141,110,124,137,136,115,126,159,133,130,134,143,135,138,127,134,147,134,135,168,113,136,139,157,124,152,130,150,123,135,140,143,142,122,121,131,147,115,126,118,151,113,133,136,119,119,136,118,115,118,113,126,143,110,105,118,113,115,95,123,88,79,76,82,84,71,65,60,63,40,49,39,41,35,37,37,37,24,26,22,22,22,25,12,19,17,18,17,25,20,17,16,19]
[24,29,18,20,25,36,39,42,32,48,42,44,41,49,55,68,65,65,78,72,70,78,93,97,100,117,101,114,105,101,132,122,147,136,130,151,140,136,169,144,142,152,178,136,153,130,131,140,135,164,167,144,135,145,131,135,143,152,151,166,176,131,179,150,149,139,162,174,145,153,162,145,173,124,147,177,141,147,185,175,160,143,170,133,162,149,147,141,153,154,164,150,143,151,151,163,159,153,144,116,151,150,126,130,154,142,130,136,137,135,119,130,119,108,97,105,105,106,87,93,76,69,74,61,61,68,73,58,50,53,35,33,36,36,37,30,33,20,25,18,16,27,21,25,15,20,19,15,15,15]
[21,25,35,36,30,26,33,42,44,43,45,36,56,73,56,64,74,95,96,90,100,105,132,98,97,113,113,149,125,130,145,172,141,152,144,166,166,168,154,175,143,157,164,163,151,191,157,174,177,193,161,175,167,172,168,192,154,151,162,164,175,177,191,169,203,170,180,172,147,185,154,178,161,168,162,178,186,207,183,173,186,171,192,170,181,168,170,166,166,151,185,157,192,156,157,171,190,173,177,171,169,161,144,160,159,161,136,170,136,140,139,150,132,118,123,136,111,104,102,98,97,100,94,82,56,69,64,62,51,45,48,37,36,36,35,24,26,20,30,28,15,22,16,26,21,19,20,21,18,18]
[32,31,36,36,28,37,31,42,36,44,58,53,53,76,73,80,77,80,104,130,102,114,124,137,132,151,120,150,151,150,189,165,156,158,179,202,165,219,217,170,188,188,182,189,158,205,175,180,192,207,212,239,177,177,187,204,187,179,196,197,193,170,176,204,197,196,202,206,214,234,180,157,219,208,200,199,205,178,220,199,188,205,194,222,204,186,218,198,233,190,185,209,195,172,176,197,202,174,184,197,191,169,163,182,179,190,151,188,144,166,148,159,145,132,124,107,134,121,124,104,105,88,95,79,62,96,76,55,55,43,61,44,24,36,34,28,36,23,38,31,23,19,19,15,26,18,24,18,23,15]
[24,30,40,30,39,26,35,52,37,43,45,59,64,63,68,82,98,90,130,121,131,139,149,152,141,156,154,166,164,164,173,172,187,203,218,200,228,199,196,187,196,227,216,218,217,232,194,196,207,213,186,220,191,204,256,222,236,218,206,208,243,216,218,222,245,241,272,242,248,213,198,226,224,204,204,240,235,241,209,218,238,218,221,242,230,244,254,253,234,219,222,273,207,199,211,234,235,223,193,189,238,214,187,169,240,229,195,207,179,176,183,154,176,162,160,166,158,116,116,114,126,106,96,87,83,94,89,70,75,50,63,50,52,33,23,37,35,22,24,25,26,19,17,22,24,14,31,15,20,15]
[38,36,35,34,44,44,63,49,73,55,58,69,79,83,99,110,109,106,118,138,158,148,151,148,150,176,194,182,204,200,210,278,196,215,206,198,235,223,268,227,235,222,211,222,239,215,232,280,288,262,232,225,227,220,231,253,217,241,241,264,252,279,257,262,255,242,277,264,284,283,240,278,263,238,233,261,238,259,262,248,257,257,248,292,238,263,288,245,252,242,239,250,227,250,264,257,249,251,229,262,213,254,241,238,206,227,279,244,220,184,182,171,208,200,171,172,176,151,123,144,119,120,89,86,89,100,100,80,61,64,55,46,38,53,42,46,26,17,30,29,22,26,20,30,20,20,23,19,17,22]
[40,32,38,30,49,54,59,54,61,47,79,86,95,115,121,114,123,127,130,158,142,162,153,158,187,207,190,217,234,230,250,226,266,251,248,316,277,276,282,273,272,255,259,254,278,272,283,277,276,278,273,278,281,258,280,287,307,261,280,304,276,301,282,313,273,292,287,298,293,307,268,290,328,298,273,275,283,301,293,302,289,324,291,322,263,287,280,273,289,267,296,276,308,265,291,281,271,240,295,287,282,268,249,241,275,260,258,262,220,291,256,209,204,221,204,197,191,170,172,140,127,154,130,105,99,102,92,77,69,68,42,50,53,41,36,38,26,26,23,30,18,20,23,23,23,20,20,21,19,10]
[41,36,47,51,54,52,50,50,71,74,91,88,114,110,115,124,145,137,168,155,198,189,200,210,228,240,284,263,269,269,283,269,299,269,276,301,317,364,305,289,301,291,308,285,334,326,312,324,303,303,316,297,277,303,324,284,356,318,284,341,309,347,320,325,320,332,374,355,324,343,371,326,319,313,354,401,311,320,359,302,341,339,288,327,304,354,324,334,330,296,342,287,331,300,323,303,329,288,318,299,322,295,288,273,313,300,302,288,287,255,266,218,245,243,228,236,212,211,184,164,166,151,161,122,136,111,103,57,80,79,58,58,38,42,37,40,35,26,24,27,21,21,27,18,28,24,17,25,28,28]
[39,31,53,53,45,57,60,64,80,75,90,101,118,107,127,156,159,191,187,182,182,220,225,215,273,227,289,287,290,282,313,308,311,292,349,322,345,339,306,337,377,335,350,357,328,336,359,335,335,336,354,359,351,355,350,350,372,348,350,346,387,320,352,345,346,407,399,356,369,382,356,343,372,402,436,392,383,340,431,362,315,394,374,362,373,369,380,371,350,352,321,373,333,358,372,400,317,363,329,345,325,338,340,314,324,315,321,327,312,293,257,278,243,245,240,300,236,207,162,155,157,145,120,143,143,121,98,109,75,78,86,56,70,48,51,48,28,28,20,26,26,26,26,23,20,28,19,20,27,21]
[32,44,47,52,59,59,84,72,77,85,117,107,128,119,140,180,170,224,189,230,231,243,275,276,295,312,307,330,306,332,355,362,399,409,401,389,410,354,381,358,391,394,406,391,441,404,397,419,393,364,435,422,407,450,414,442,395,373,388,386,406,408,394,422,343,389,412,394,418,403,389,442,436,438,405,426,418,432,398,409,447,501,420,447,411,442,371,417,354,412,389,406,404,388,434,399,429,378,440,369,370,360,355,336,411,337,363,368,313,297,301,296,290,295,274,279,238,224,240,187,180,167,165,146,117,137,117,96,96,78,71,67,59,51,46,46,31,29,33,28,35,40,18,22,26,24,22,21,22,17]
[41,44,56,58,46,75,67,86,96,115,107,120,133,155,170,173,183,205,225,238,264,297,284,303,305,302,334,340,338,358,373,379,372,406,416,399,369,428,383,397,396,413,385,423,403,455,504,430,411,398,416,439,443,451,457,453,445,444,458,442,437,453,477,464,458,479,487,460,468,426,452,438,459,504,487,420,461,468,464,458,450,447,453,469,564,447,454,453,510,476,420,439,424,444,424,432,439,420,435,418,425,414,415,408,372,398,374,380,369,357,327,325,336,321,305,280,260,238,243,221,213,228,167,156,153,158,115,124,94,79,100,60,60,75,53,37,42,30,48,37,34,20,25,19,27,13,23,18,32,20]
[44,52,56,59,60,75,87,72,113,120,110,134,180,155,190,200,220,246,237,252,290,314,345,353,343,332,354,420,441,396,455,427,447,433,438,484,480,504,456,475,434,443,499,505,509,492,483,458,477,576,480,464,464,485,473,529,497,494,498,463,469,493,491,508,521,492,506,486,454,504,463,531,535,484,508,499,486,477,500,510,512,421,523,509,511,476,539,600,531,537,519,506,516,457,504,492,507,513,481,471,472,441,462,466,440,446,446,442,453,378,380,368,346,334,345,305,288,278,257,234,233,188,193,172,190,139,132,118,113,82,99,78,56,46,71,47,37,44,42,36,35,33,41,21,23,26,20,18,24,14]
[48,49,40,59,59,80,96,92,117,92,133,165,156,192,202,233,219,246,256,262,347,350,331,396,386,390,392,417,440,392,441,459,458,494,463,485,486,479,533,469,504,496,487,550,508,500,514,542,510,504,531,480,640,505,532,514,577,509,533,531,519,561,518,583,524,544,566,535,555,522,573,539,575,549,521,583,565,521,556,565,578,545,574,567,591,582,608,548,509,557,718,535,573,527,548,569,565,532,507,504,502,537,508,516,504,520,491,456,452,406,447,433,380,386,380,363,307,340,301,266,253,267,196,182,177,196,152,174,121,98,100,96,70,79,57,49,57,39,47,31,30,28,31,31,25,22,34,23,24,19]
[49,40,62,49,57,71,94,96,121,132,147,162,198,196,220,228,251,272,275,367,355,364,419,410,395,424,463,444,447,453,439,474,538,524,511,554,569,527,498,524,565,540,537,532,573,590,576,584,541,536,559,590,596,634,572,613,743,582,568,568,592,620,566,620,584,602,638,582,582,591,613,624,631,646,659,601,657,634,574,623,637,634,638,641,630,633,616,634,627,580,614,594,654,772,627,630,612,614,536,584,599,602,558,587,579,572,540,518,444,503,469,458,431,424,442,425,359,306,339,302,276,249,241,210,214,204,164,144,137,125,105,121,68,76,47,66,50,45,41,28,38,37,41,24,32,35,29,30,20,24]
[47,67,57,70,80,82,95,111,114,115,164,188,181,206,246,259,308,319,328,336,389,387,521,472,481,544,496,508,498,523,544,566,555,599,600,564,599,604,560,577,607,595,676,651,618,579,609,642,633,604,655,638,621,631,693,656,714,658,655,778,668,618,709,655,664,699,672,677,670,667,672,722,680,702,759,759,703,649,697,660,719,695,702,692,720,725,782,700,649,670,676,713,715,723,638,709,848,664,649,692,673,633,623,629,603,565,627,560,599,536,520,508,470,463,476,466,413,357,392,329,272,274,249,227,219,163,197,163,151,122,127,85,89,79,89,59,57,57,40,36,41,37,39,25,30,25,28,32,25,25]
[50,49,60,72,95,88,95,109,112,161,169,180,199,252,235,279,341,345,386,398,433,395,455,512,521,568,531,519,586,625,603,587,618,601,624,715,644,648,628,619,663,644,724,745,723,678,733,727,731,698,728,719,697,713,711,733,694,757,719,702,758,764,886,792,788,745,723,801,762,719,723,723,775,740,779,779,752,783,716,791,743,702,801,745,791,787,789,730,742,759,780,765,754,737,825,744,777,772,696,700,811,721,739,655,712,650,669,641,623,580,581,583,543,516,517,461,455,445,363,367,332,324,269,253,203,199,167,151,139,118,111,114,76,83,72,63,56,81,42,53,42,39,40,22,34,28,30,26,27,29]
[70,78,84,75,90,92,119,119,127,145,166,190,227,211,256,324,338,398,417,468,491,522,553,561,552,631,665,751,665,656,735,725,771,737,738,699,746,790,736,749,766,774,734,786,716,816,787,783,772,790,780,851,801,821,834,815,823,802,830,794,855,832,888,794,843,995,861,858,866,821,906,864,890,900,882,873,914,847,857,884,843,834,905,872,778,924,893,922,863,835,846,872,823,879,886,862,836,899,789,802,773,846,916,751,772,771,747,748,712,679,641,697,619,586,551,560,507,501,411,373,392,354,324,255,240,226,223,177,162,133,127,104,83,79,67,79,57,63,62,56,44,46,43,43,39,26,38,43,32,23]
[67,74,75,99,92,98,112,118,145,171,188,230,253,224,299,317,345,393,452,470,480,545,584,603,659,632,707,741,685,713,905,814,817,837,851,791,824,808,796,794,874,882,887,853,817,849,850,835,822,884,856,850,888,902,873,873,864,919,855,901,875,895,897,952,907,935,884,1107,927,895,917,993,922,924,967,915,957,995,980,958,971,1046,987,967,954,968,971,1028,996,1045,943,900,1012,995,1011,995,945,951,902,881,834,882,876,878,909,1106,900,809,738,748,746,775,728,666,664,602,562,511,433,439,410,357,345,286,269,257,234,237,191,156,136,111,126,91,73,67,85,70,64,45,35,50,40,36,39,32,35,36,27,30]
[64,84,89,85,107,109,131,143,151,195,188,232,256,281,297,339,420,444,465,514,580,570,676,637,683,744,780,730,771,821,827,824,835,898,888,873,874,893,850,868,892,889,924,916,923,879,940,903,937,1143,963,1065,999,996,985,1019,1047,978,993,946,941,1012,974,972,1004,1032,1029,1025,1015,995,1058,1094,1118,1021,1053,1057,1036,1075,1058,1076,1040,1115,1063,1083,1082,1030,1300,1051,1034,1053,1019,1085,1030,1063,1046,1061,1038,1088,1129,1009,964,967,1055,979,997,921,930,892,839,863,858,822,791,729,764,689,650,600,492,537,452,423,368,406,299,299,237,192,183,138,155,141,118,96,101,99,77,67,63,66,59,57,40,42,49,23,29,24,36,24]
[79,87,95,100,101,115,140,156,134,154,207,246,271,297,346,451,443,452,562,613,586,727,702,756,776,768,774,792,831,882,914,904,962,956,982,923,915,951,894,905,990,1013,1024,1031,1043,1033,1038,1048,1025,1047,1053,1086,1265,1132,1091,1135,1087,1100,1112,1027,1107,1060,1102,1133,1122,1121,1114,1100,1096,1046,1115,1151,1132,1193,1204,1146,1247,1157,1192,1124,1182,1202,1187,1188,1135,1233,1214,1091,1112,1428,1183,1242,1154,1167,1184,1151,1139,1194,1132,1105,1126,1174,1145,1023,1018,1054,1012,1005,952,907,901,847,890,842,767,733,667,601,599,568,503,434,434,339,346,299,264,291,217,183,168,140,124,117,89,107,88,67,72,64,56,65,59,53,32,49,23,40,29,34]
[72,100,86,82,112,126,134,161,162,185,209,221,271,306,352,350,482,588,566,603,720,747,828,824,889,925,859,939,922,964,933,1017,1032,1085,1030,1071,1035,1019,1024,1007,1068,1048,1118,1134,1098,1130,1112,1121,1099,1145,1143,1213,1223,1250,1189,1419,1150,1221,1179,1181,1132,1167,1214,1265,1179,1249,1209,1201,1249,1236,1280,1230,1352,1379,1325,1311,1280,1231,1261,1230,1209,1311,1308,1317,1335,1277,1216,1286,1252,1258,1298,1253,1583,1382,1354,1255,1199,1322,1260,1237,1213,1248,1308,1249,1191,1140,1078,987,1077,1008,1043,1032,975,924,844,802,803,697,634,596,476,464,383,399,295,313,280,261,236,257,184,166,118,113,120,82,88,65,69,70,54,48,55,43,42,38,40,31,35,31]
[87,84,84,100,107,121,136,147,182,200,240,255,294,346,374,421,473,507,596,628,945,828,899,998,1028,1013,938,1010,1022,1056,1153,1111,1152,1202,1250,1130,1083,1113,1153,1130,1155,1236,1159,1302,1263,1262,1128,1195,1225,1127,1331,1300,1351,1425,1427,1330,1319,1227,1530,1225,1326,1266,1383,1360,1300,1410,1311,1328,1288,1424,1369,1423,1473,1562,1499,1419,1338,1322,1284,1288,1404,1357,1467,1410,1429,1385,1402,1348,1335,1344,1450,1326,1488,1472,1470,1674,1343,1323,1302,1335,1341,1378,1416,1385,1316,1293,1191,1173,1160,1107,1141,1094,1040,1034,1006,870,831,721,619,647,527,464,464,407,358,329,322,279,247,227,180,166,173,121,130,102,93,80,77,82,59,65,45,37,42,52,43,37,35,45]
[75,82,92,119,130,141,131,179,187,210,237,269,341,375,370,436,511,577,576,704,782,896,1081,1364,1231,1098,1158,1093,1170,1210,1238,1289,1389,1390,1409,1345,1215,1200,1143,1227,1327,1318,1428,1476,1435,1467,1314,1283,1321,1307,1393,1416,1638,1689,1616,1545,1507,1465,1408,1395,1442,1792,1630,1652,1549,1663,1574,1442,1426,1422,1536,1629,1742,1790,1788,1687,1580,1457,1439,1431,1583,1550,1709,1680,1719,1627,1563,1445,1416,1467,1530,1652,1736,1751,1622,1599,1504,1477,1685,1463,1458,1635,1652,1607,1558,1499,1386,1372,1248,1244,1311,1254,1317,1283,1147,999,920,836,721,668,596,571,483,411,402,369,325,292,267,246,191,216,167,129,159,140,142,94,96,89,69,69,56,51,58,52,39,41,41,38]
[96,95,104,126,130,153,170,179,204,245,235,310,301,368,390,447,514,605,646,736,899,1043,1445,1221,1353,1350,1258,1396,1182,1235,1290,1359,1454,1597,1551,1379,1366,1323,1358,1322,1388,1443,1620,1711,1672,1568,1453,1370,1343,1460,1546,1681,1783,1958,1846,1787,1628,1492,1403,1444,1493,1674,1801,1913,2141,1734,1623,1535,1484,1531,1620,1826,1931,2099,1978,1897,1718,1539,1545,1542,1625,1765,1799,1891,1831,1617,1647,1495,1507,1517,1573,1767,1868,1891,1808,1647,1494,1497,1477,1483,1527,2071,1881,1913,1775,1729,1465,1423,1382,1328,1430,1458,1573,1614,1436,1288,967,921,774,687,641,578,547,464,437,405,331,296,289,278,216,202,168,150,127,138,134,98,92,105,77,68,69,51,48,45,49,33,35,34]
[76,105,87,123,115,160,145,182,221,222,261,328,302,409,415,472,543,586,761,848,989,1292,1498,1723,1829,1653,1514,1290,1346,1301,1687,1510,1732,1884,1891,1710,1558,1420,1337,1474,1568,1827,2064,2173,2023,1910,1672,1472,1500,1533,1712,1967,2268,2479,2370,2210,1850,1671,1601,1606,1743,1929,2202,2361,2359,2203,1896,1965,1651,1681,1717,2048,2475,2575,2482,2306,1869,1720,1597,1639,1796,1991,2195,2211,2230,1988,1774,1580,1569,1622,1787,2053,2138,2276,2201,2020,1796,1655,1678,1684,1729,1911,2095,2248,2745,1928,1628,1548,1445,1496,1557,1748,1953,1904,1687,1408,1226,1062,875,827,667,563,536,513,443,395,370,312,271,242,224,194,170,155,126,131,112,97,106,77,79,73,79,59,65,46,39,38,49,29]
[88,85,93,129,131,160,180,187,203,231,261,290,335,366,431,467,537,662,729,980,1131,1550,2008,2504,2744,2256,1931,1697,1565,1485,1738,1906,2087,3094,2487,2256,1920,1732,1698,1677,1806,2091,2602,3046,2883,2279,2124,1839,1824,1804,2057,2370,2854,3350,3218,2752,2407,2111,1959,2007,2071,2320,2861,3500,3198,2737,2416,2065,1957,1945,2701,2581,3141,3679,3408,2972,2542,2106,1901,1894,2016,2311,2777,3196,2780,2472,2154,1893,1778,1781,1974,2230,2731,3067,2868,2462,2131,1952,1910,1961,2092,2331,2855,3254,3042,2576,2295,2255,1635,1737,1784,2118,2613,2936,2560,2120,1701,1336,1138,915,694,694,598,511,524,440,412,323,299,298,238,233,195,179,144,133,115,105,103,83,72,86,69,67,53,62,58,51,40,39]
[80,106,120,132,136,141,167,168,243,234,332,328,331,405,452,522,576,687,774,1098,1210,1860,2503,3943,4361,3349,2508,2173,1818,1690,1776,2168,2862,4003,3693,3608,2331,2068,1832,1700,2190,2617,3605,4438,4016,2983,2683,2314,1926,2150,2359,2817,3815,5135,4878,3781,2995,2576,2176,2093,2305,2804,3637,4960,4797,3875,2994,2461,2187,2200,2369,2903,3798,6241,4934,3560,3057,2588,2218,2099,2330,2798,3676,4648,4080,3380,2580,2230,2057,2025,2215,2733,3509,4516,4124,3475,2636,2362,1967,2070,2252,2708,3707,4588,4239,3318,2662,2186,1894,1843,2506,2588,3528,4131,3567,2595,2173,1714,1234,970,832,701,631,570,491,461,417,349,330,304,245,179,218,172,133,142,108,106,100,73,69,85,75,66,68,54,64,51,41,49]
[100,121,109,155,154,164,183,195,213,251,298,338,364,433,451,516,613,710,815,1041,1279,1708,2312,3937,4652,3738,2648,2271,1849,1734,1778,2186,2757,4312,4405,3514,2619,2285,1834,2135,2030,2499,3352,4677,4972,3668,2756,2481,2020,2129,2230,2722,3830,5579,5769,4478,3153,2820,2347,2169,2308,2684,3829,5364,5763,4226,3151,2703,2206,2228,2325,2845,3805,5754,5969,4225,3909,2616,2298,2215,2325,2766,3596,5292,5033,3675,3003,2451,2118,1963,2268,2724,3428,4997,4783,3558,2823,2312,2019,2133,2310,2742,3893,5182,5226,3914,2771,2461,1935,1872,1986,2354,3630,5784,4119,2817,2284,1776,1353,1089,858,696,654,556,525,434,393,364,340,294,229,235,191,167,149,148,126,102,110,99,79,79,77,73,57,53,46,44,48,40]
[108,102,142,128,122,169,201,205,213,251,307,349,356,472,504,563,639,708,813,942,1173,1490,1797,2973,3622,3202,2350,2011,1824,1668,1657,1817,2373,3145,3646,3065,2543,2163,1940,1736,1855,2069,2630,3408,4189,3430,2677,2235,2051,2070,1931,2923,3061,4127,4661,3911,3012,2585,2239,2165,2170,2448,3131,4183,4589,3942,2848,2576,2257,2015,2250,2604,3111,4336,4598,3956,3092,2640,2210,2120,2095,2411,2783,3795,4140,3550,2804,2445,2592,2017,2150,2430,2891,3713,4167,3399,2611,2337,1941,1930,2116,2421,2928,4030,4435,3441,2624,2300,1917,1857,1845,2058,2590,3678,3959,2964,2222,1856,1518,1179,918,767,700,579,536,566,406,377,357,271,239,217,215,197,161,139,139,110,127,86,87,94,75,60,55,63,51,52,54,43]
[82,96,107,120,152,133,178,177,255,282,307,359,412,424,464,542,733,773,822,980,1129,1328,1738,2076,2587,2294,2154,1858,1689,1696,1635,1732,2103,2496,2728,2444,2259,1903,1798,1786,1738,1942,2302,2908,3102,2828,2435,2239,2044,1864,1909,2124,2504,3047,4117,3036,2717,2321,2202,2043,2082,2280,2631,3120,3332,3109,2531,2448,2213,2037,2003,2350,2800,3370,3549,3200,2711,2451,2235,2096,2000,2173,2562,2915,3091,2855,2619,2153,2055,1939,1932,2482,2560,2971,3031,2623,2394,2073,1955,1910,1932,2100,2423,3200,3123,2831,2396,2093,1840,1608,1715,1774,2128,2633,2798,2358,1930,1670,1400,1077,938,834,684,562,517,487,415,372,423,284,248,227,241,174,175,154,131,116,134,109,105,72,71,75,61,55,61,51,44,48]
[85,119,123,132,169,167,198,246,230,269,303,339,394,455,487,524,654,697,812,1008,1292,1316,1518,1778,1816,1930,1758,1646,1648,1660,1605,1753,1835,2065,2202,2231,2118,1769,1725,1697,1717,1857,2042,2254,2409,2353,2169,1931,1958,1878,1850,2004,2171,2456,2615,2529,2310,2484,2047,1963,1986,2208,2283,2534,2732,2583,2332,2098,2013,1998,1942,2219,2374,2758,2863,2588,2373,2046,2128,1978,2002,2071,2285,2495,2604,2419,2342,2099,2042,2045,1949,2095,2103,2397,3041,2444,2173,1991,1842,1799,1884,1962,2240,2434,2627,2482,2074,1893,1807,1635,1591,1662,1858,2078,2175,1974,1718,1450,1303,1063,862,777,615,616,521,475,470,402,348,326,262,242,246,190,188,176,137,138,134,94,87,90,94,92,74,58,62,40,42,43]
[121,123,123,170,171,206,209,264,283,319,380,400,469,518,540,668,743,804,962,1090,1160,1531,1546,1701,1682,1607,1560,1615,1675,1780,1943,1775,1979,1980,2017,1901,1837,1817,1769,1875,1912,1968,2166,2150,2181,2039,1919,1989,1981,1977,2098,2044,2162,2510,2230,2325,1975,2154,1991,2550,2266,2095,2451,2327,2429,2216,2066,2131,2086,2140,2154,2288,2457,2601,2437,2380,2232,2123,2141,2079,2111,2319,2293,2423,2388,2271,2189,2156,2143,2194,2085,2144,2293,2347,2411,2219,2257,2085,2083,1969,2174,2064,2224,2358,2224,2082,1995,1862,1675,1729,1659,1743,1810,1879,1726,1502,1349,1219,1083,990,802,744,654,621,536,452,403,370,355,341,312,250,230,231,167,170,138,143,116,95,97,99,80,86,62,62,53,43,42,44]
[113,123,155,191,207,207,235,266,283,335,415,440,520,547,641,732,822,911,1029,1213,1291,1534,2036,1722,1619,1624,1650,1675,1729,1838,1949,1900,2076,2037,1810,1801,1866,1793,1787,1848,1897,2057,2131,2094,2050,1944,1974,1925,1935,2009,2004,2200,2179,2202,2224,2151,2023,2129,2102,2551,2256,2365,2413,2286,2189,2147,2014,2159,2133,2139,2380,2427,2453,2399,2304,2229,2194,2217,2191,2239,2381,2526,2560,2396,2260,2138,2220,2187,2133,2265,2257,2404,2400,2323,2258,2104,1999,2436,2112,2062,2090,2178,2245,2116,1923,1844,1893,1792,1692,1669,1714,1794,1739,1674,1471,1332,1088,1010,971,811,731,635,626,544,489,449,396,323,302,281,234,215,200,209,183,137,138,114,116,87,103,83,74,70,61,50,50,48,41,40]
[116,133,151,148,158,174,207,259,283,324,387,388,479,458,533,623,750,843,973,1065,1210,1399,1667,1792,1767,2130,1661,1695,1710,1760,1890,2059,2141,2235,2085,2046,1897,1847,1875,1908,1847,1999,2201,2264,2335,2184,2090,1991,1949,1953,2076,2151,2251,2341,2436,2267,2121,1984,2102,2085,2123,2226,2937,2604,2516,2278,2221,2067,2129,2248,2269,2493,2732,2881,2755,2507,2390,2331,2306,2332,2309,2570,2773,2765,2680,2646,2330,2236,2401,2352,2363,2389,2547,2683,2705,2452,2256,2131,2197,2201,2605,2183,2396,2452,2318,2266,2080,1894,1838,1941,1795,1893,2023,1999,1879,1643,1419,1167,1167,1061,927,797,718,731,615,573,504,447,398,374,272,262,220,252,189,171,162,164,135,117,125,102,85,88,69,59,64,54,65,63]
[131,149,136,163,188,193,229,256,283,298,355,413,490,542,551,710,715,874,974,1165,1423,1610,1983,2155,2206,2062,1905,1718,2151,1817,1936,2190,2394,2506,2386,2295,2070,1961,1935,1980,1989,2235,2449,2620,2588,2407,2182,1997,2015,2125,2161,2373,2484,2570,2693,2467,2312,2106,2148,2171,2197,2412,2662,2805,2755,3015,2231,2087,2180,2228,2502,2712,3009,3338,3124,2858,2516,2443,2429,2252,2521,2760,3083,3413,3238,2889,2622,2491,2437,2397,2473,2646,2910,2939,2975,2761,2341,2283,2219,2265,2321,2472,3181,2831,2691,2504,2146,2024,2013,1955,2073,2173,2267,2283,2055,1829,1451,1203,1214,1061,928,868,765,747,636,594,536,504,400,370,304,252,247,219,230,149,160,161,145,146,123,106,101,96,72,76,53,59,65,31]
[124,150,154,173,176,210,219,262,263,344,358,406,457,557,586,734,798,867,982,1203,1599,2018,2504,3209,3131,2753,2398,2188,2045,2042,2205,2973,3157,3651,3479,2860,2518,2378,2166,2160,2249,2568,3055,3397,3385,2866,2527,2402,2179,2253,2274,2580,3095,3369,3365,2839,2552,2389,2364,2327,2551,2865,3100,3561,3322,3021,2720,2432,2856,2516,2707,3237,3831,4371,4119,3458,2983,2722,2725,2674,2956,3305,3844,4448,4035,3370,2988,2754,2619,2571,2742,2938,3457,3949,3590,3235,2752,2497,2469,2345,2601,2908,3237,3653,3316,3413,2579,2283,2156,2120,2224,2505,2788,3037,2674,2034,1727,1564,1287,1021,982,844,810,728,651,569,532,474,430,361,324,295,234,238,176,182,159,164,134,117,115,121,119,89,73,65,78,59,59,52]
[128,137,150,152,191,235,226,277,293,318,357,432,477,533,586,673,750,892,1015,1213,1705,2155,3083,4314,4557,3670,2760,2594,2298,2165,2312,2673,3486,5517,4571,3708,2930,2542,2326,2314,2359,2702,3531,4565,4581,3718,3067,2650,2401,2288,2405,2941,3570,4550,4436,3747,2982,2704,2404,2403,2619,3123,3804,4713,4463,3738,3114,2748,2485,2543,2934,4172,4628,5680,5333,4134,3514,3163,2800,2789,2994,3419,4307,5542,5308,4178,3601,3037,2750,2724,3028,3317,4104,5113,4848,3914,3382,2883,2637,2591,2815,3042,3994,4889,4874,3574,2936,2646,2772,2188,2390,2683,3553,4201,3701,2662,2066,1786,1371,1149,959,877,797,726,648,618,547,502,420,432,347,281,295,251,187,202,157,167,143,132,122,97,109,78,86,85,67,68,65,66]
[151,161,166,190,178,213,240,280,294,331,388,428,488,474,604,644,732,904,1074,1278,1630,2088,3064,4790,5341,4012,2969,2556,2275,2142,2360,2690,3561,5257,5596,4337,3324,3220,2383,2261,2367,2761,3578,5111,5141,4101,3171,2836,2494,2319,2468,2981,3646,5018,5165,3980,3099,2670,2460,2480,2655,3174,3729,5251,5463,4052,3312,3017,2627,2604,2930,3341,4686,6339,7617,4560,3850,3139,2745,2791,3091,3522,4800,6609,6494,4529,3909,3272,2955,2849,2911,3534,4308,5783,5661,4232,3551,2981,2650,2615,2843,3236,4166,5798,5497,3944,3217,2741,2303,2245,2310,2639,4371,4954,4498,3034,2347,1903,1436,1259,971,859,745,718,648,609,542,471,441,378,340,324,281,244,229,192,194,144,182,109,131,95,93,122,74,72,74,62,59,70]
[144,133,158,198,200,229,250,284,304,365,378,477,522,575,662,690,810,890,1104,1301,1581,1886,2513,3459,4231,3462,2730,2345,2097,2034,2179,2394,2907,4094,4454,3602,2887,2564,2297,2149,2673,2567,2896,4008,4252,3485,2888,2618,2188,2269,2344,2699,3205,3903,4264,3531,2863,2547,2470,2378,2566,2788,3203,4375,4481,3780,3088,2800,2575,2530,2720,3044,3837,5028,5412,4308,3581,3644,2597,2693,2807,3120,4008,5148,5298,4295,3464,3125,2888,2645,2758,3066,3787,4630,4701,3861,3194,2711,2556,2499,2607,2857,3468,4421,4653,3623,2983,2690,2255,2138,2219,2439,2929,3799,4251,2718,2110,1786,1425,1145,951,878,790,707,629,576,525,471,432,400,331,295,264,236,205,204,175,161,142,118,122,98,110,78,93,81,69,62,47,63]
[146,148,145,163,200,284,291,314,339,358,405,432,511,594,640,710,865,955,1069,1215,1369,1715,2064,2598,2739,2438,2259,2002,1866,2007,2002,2159,2643,3006,3180,2763,2524,2413,2133,2107,2054,2316,3198,3053,3092,2776,2540,2376,2153,2171,2218,2442,2859,3019,3112,2795,2678,2395,2277,2307,2420,2483,2939,3279,3579,3082,2795,2551,2489,2334,2499,2643,3192,3800,4055,3629,3218,2760,2453,2465,3050,2676,3429,3840,3768,3363,2953,2757,2575,2416,2579,2687,3224,3574,3594,3159,2818,2583,2433,2329,2333,2605,2965,3379,3357,2968,2667,2360,2113,1994,1936,2236,2591,2785,2718,2215,1857,1921,1290,1021,951,836,768,669,619,629,493,454,515,416,356,315,266,225,217,205,183,196,149,170,153,103,111,85,85,70,58,51,70,68]
[141,133,170,176,197,230,221,277,388,344,398,434,523,544,623,694,820,919,1006,1195,1250,1418,1757,2033,2246,2291,2077,1857,1999,1976,2001,2039,2287,2380,2655,2690,2268,2131,2221,2045,2082,2114,2253,2555,2670,3223,2416,2191,2288,2265,2112,2290,2413,2732,2776,2760,2557,2315,2373,2302,2271,2378,2641,2864,2939,2901,2688,2394,2447,2255,2430,2448,2815,3099,3274,3203,2747,2654,2487,2425,2397,2399,2829,3623,3228,3110,2805,2602,2581,2437,2517,2567,2708,2971,3101,3032,2702,2415,2445,2443,2297,2458,2616,2787,2841,2842,2544,2312,2301,2037,1915,2014,2062,2316,2239,2124,1691,1408,1345,1155,1203,935,800,744,640,608,519,487,423,413,347,333,278,268,249,194,197,157,159,133,126,130,110,111,110,78,81,66,58,60]
[120,168,181,198,191,240,274,316,281,332,366,583,542,562,642,736,819,924,1054,1200,1284,1353,1593,1885,1938,1917,1785,1856,1960,2041,2034,2111,2278,2305,2440,2230,2178,2143,2028,2009,2070,2124,2252,2386,2477,2372,2261,2298,2681,2224,2308,2324,2439,2593,2653,2452,2360,2310,2382,2310,2330,2494,2527,2684,2662,2577,2483,2344,2449,2420,2484,2452,2618,2790,3013,2673,2509,2569,2466,2422,2376,2390,2723,2812,2862,3199,2618,2549,2451,2449,2544,2531,2658,2833,2793,2742,2475,2373,2395,2392,2388,2407,2527,2668,2590,2552,2297,2229,2046,2060,1993,1899,1939,2027,1979,1772,1537,1348,1323,1048,951,925,827,862,648,643,537,463,489,429,366,303,305,242,221,184,192,179,191,148,119,128,117,109,80,97,79,78,78,50]
[126,143,167,176,198,206,231,274,303,330,352,427,528,590,689,704,767,872,1011,1078,1321,1347,1583,1830,1770,1841,1813,1849,1856,1998,2024,2118,2177,2202,2294,2151,2064,1996,2076,2141,2153,2114,2233,2330,2283,2376,2201,2184,2156,2272,2286,2790,2404,2525,2590,2484,2263,2339,2262,2259,2307,2364,2430,2544,2570,2393,2293,2216,2249,2361,2401,2381,2515,2458,2584,2432,2351,2302,2323,2333,2451,2399,2502,2481,2584,2516,2322,2415,2843,2398,2484,2437,2525,2644,2704,2550,2301,2296,2337,2332,2328,2350,2433,2478,2434,2390,2210,2175,2092,2078,1974,2023,1906,1974,1903,1753,1505,1383,1210,1090,1051,915,773,722,721,595,623,461,459,419,359,323,269,254,230,209,188,163,203,127,155,132,101,113,84,82,72,63,64,67]
[138,144,180,200,232,243,248,318,317,337,432,457,522,575,653,704,797,1136,1062,1162,1360,1496,1727,1904,1924,1864,1821,1740,1806,1979,2019,2139,2253,2519,2454,2316,2124,2004,2098,2152,2101,2249,2382,2528,2479,2452,2278,2228,2255,2265,2345,2374,2630,2824,3288,2549,2360,2302,2322,2353,2385,2421,2520,2710,2638,2642,2337,2237,2352,2413,2347,2472,2766,2825,2768,2572,2491,2332,2447,2391,2392,2458,2617,2837,2809,2603,2606,2375,2497,2456,2396,3099,2821,2759,2848,2654,2402,2321,2401,2440,2437,2492,2512,2739,2656,2509,2280,2107,2100,2179,2164,2034,2275,2261,2150,1858,1486,1446,1336,1195,1042,961,850,774,692,616,615,558,497,474,377,337,277,261,242,234,204,186,173,156,152,115,105,98,93,97,67,82,74,67]
[143,170,180,202,250,225,265,311,323,369,415,459,511,579,617,733,826,961,1133,1243,1878,1758,2156,2327,2264,2113,1948,1875,1958,2047,2274,2476,2663,2861,2744,2532,2148,2167,2125,2156,2224,2519,2772,2968,2735,2712,2397,2210,2298,2327,2424,2697,3049,3298,3134,2890,2719,2916,2426,2412,2564,2685,2975,3011,2949,2723,2541,2458,2470,2480,2590,2896,3015,3175,3035,2814,2689,2453,2354,2410,2493,2912,2989,3184,3003,2943,2646,2474,2580,2545,2646,2961,3119,3269,3826,3015,2709,2510,2452,2529,2717,2906,3107,3187,3074,2791,2405,2279,2163,2220,2231,2554,2762,2695,2480,2212,1817,1574,1448,1213,1060,978,861,776,700,664,576,509,464,413,382,345,321,275,229,229,221,181,176,155,140,136,141,138,103,110,77,85,59,63]
[156,160,187,183,224,244,249,299,351,398,445,507,516,570,684,770,869,995,1139,1250,1656,1934,2388,3618,3109,2520,2229,2116,2131,2114,2432,2730,3151,3545,3548,3101,2608,2411,2292,2248,2551,2763,3186,3614,3537,3092,2733,2439,2495,2423,2657,2997,3441,3900,3923,3318,2929,2700,2598,2517,3090,2932,3200,3489,3513,3148,2794,2610,2479,2512,2842,3026,3402,3735,3652,3234,2894,2643,2608,2612,2782,2999,3348,3916,3666,3215,2774,2747,2666,2592,2816,3180,3631,4328,3625,3377,3024,3276,2605,2747,2926,3222,3687,4099,4004,3381,2876,2555,2441,2516,2638,2852,3434,3835,3374,2768,2294,1864,1616,1317,1140,932,910,781,651,649,583,508,489,435,394,331,320,261,241,254,194,216,166,153,162,134,125,99,110,93,91,76,70,61]
[152,188,180,208,233,272,263,330,384,381,411,482,542,625,685,752,868,962,1185,1387,1768,2213,2845,4271,4503,3535,3251,2306,2203,2200,2481,2901,3680,4748,4620,3455,3039,2696,2427,2383,2659,2978,3739,4897,4725,3825,3089,2801,2621,2563,2821,3181,4041,5238,5292,4369,3540,3097,2667,2701,2788,3146,3711,5801,4556,3824,3081,2701,2586,2663,2981,3406,4233,5243,4577,3703,3335,2865,2626,2697,2923,3324,4040,5133,4694,3882,3339,3076,2841,2874,3223,3565,4542,5567,5157,4134,3438,2891,2785,2831,3124,4241,4540,5671,5110,4027,3255,2798,2643,2604,2841,3250,4241,5019,4452,3272,2671,2150,1821,1435,1207,1002,873,783,758,655,575,520,515,442,369,318,316,289,267,199,195,214,224,180,145,132,112,109,104,114,96,84,74,68]
[183,185,181,195,270,256,309,288,372,390,462,483,574,661,744,816,886,1034,1207,1435,1872,2331,3389,4982,4928,3647,2782,2512,2796,2429,2673,3192,4173,5622,4778,3669,3064,2724,2544,2502,2690,3252,4485,5678,5074,3775,3305,2883,2639,2727,2902,3577,4484,6096,5725,4036,3545,2970,2729,2741,3010,3364,4266,5434,5021,4523,3059,2753,2770,2726,3057,3781,4894,5588,5099,3809,3323,2819,2634,2741,3065,3523,4695,5582,5099,3806,3485,3015,2804,2906,3186,3792,5484,6496,5329,4213,3437,3029,2869,3008,3239,3706,5181,7613,4918,3811,3321,2790,2514,2688,3041,3660,5162,5715,4357,3148,2673,2174,1602,1350,1138,967,842,726,681,669,617,528,452,424,351,330,322,282,249,215,217,199,183,141,155,117,105,119,113,117,78,65,72,75]
[180,188,200,221,291,235,319,374,377,429,489,579,599,687,766,865,1028,1113,1342,1579,1856,2450,3697,3852,3120,2739,2329,2158,2559,2582,2701,3436,4188,4087,3401,2852,2550,2357,2240,2475,2757,3224,4257,4377,3747,3082,2680,2517,2574,2658,2936,3631,4617,4788,4028,3352,2836,2696,2515,2728,2846,3336,4081,4136,3549,3054,3110,2492,2536,2780,3147,3885,4596,4540,3667,3178,2709,2483,2524,2695,2961,3739,4602,4530,3695,3202,2882,2617,2643,2776,3248,4215,5195,4803,3852,3365,2874,2590,2665,2894,3283,3925,4871,5764,3625,3190,2763,2395,2394,2598,2905,3710,4530,4283,3170,2573,2171,1671,1263,1085,970,839,736,721,670,572,493,487,399,382,323,337,274,260,212,210,202,187,166,139,158,108,103,108,103,76,67,60,73,53]
[168,174,188,214,227,252,283,304,340,384,464,497,578,670,711,778,871,990,1079,1259,1374,1637,1979,2541,2721,2558,2434,2170,2095,1936,2058,2682,2747,3147,3301,2856,2696,2488,2336,2187,2209,2376,2830,3224,3346,3144,2882,2590,2457,2340,2388,2639,3103,3573,3811,3295,3125,2840,2663,2455,2427,2613,2916,3203,3346,3092,2965,2525,2428,2957,2471,2768,3182,3673,3639,3177,2957,2712,2519,2462,2536,2674,3260,3648,3661,3171,2911,2778,2542,2560,2714,2969,3540,3807,3813,3458,3136,2776,2592,2612,2592,2713,3341,3749,4097,3400,3629,2620,2413,2257,2355,2467,3182,3501,3483,2787,2362,2019,1639,1343,1081,972,872,792,699,705,588,513,521,420,390,314,309,276,241,236,225,190,189,179,163,138,113,122,110,94,88,68,79,66]
[147,213,182,208,227,251,327,350,360,427,448,517,564,608,703,730,837,946,1178,1191,1294,1491,1711,2123,2237,2318,2043,2029,1971,2064,2060,2078,2389,3252,2800,2656,2414,2330,2292,2177,2251,2198,2398,2700,2828,2659,2600,2341,2382,2328,2208,2382,2698,2957,2985,2979,2767,2545,2557,2569,2499,2468,2676,3100,3030,2985,2667,2388,2555,2388,2377,3086,2869,3014,3070,2956,2583,2430,2540,2414,2506,2627,2895,3016,3188,2995,2667,2582,2525,2575,2519,2812,3060,3195,3243,3156,2734,2650,2526,2541,2504,2690,2896,3243,3227,3042,2649,2513,2804,2247,2163,2280,2550,2806,2617,2318,1962,1774,1525,1302,1070,977,857,843,762,677,605,533,445,405,415,359,307,294,265,225,233,190,201,185,150,135,137,126,98,108,98,77,76,58]
[167,160,191,235,254,252,309,363,369,421,494,503,529,590,661,804,895,1029,1099,1224,1308,1565,1680,1861,1957,1954,1905,1932,1976,2047,2056,2154,2208,2390,2473,2368,2606,2222,2158,2154,2206,2322,2320,2491,2611,2519,2295,2309,2338,2329,2305,2418,2583,2735,2837,2675,2491,2449,2497,2561,2444,2551,2577,2687,2780,2700,2459,2466,2475,2444,2567,2586,2630,3354,2833,2623,2558,2488,2527,2494,2541,2474,2650,2791,2778,2680,2575,2462,2454,2583,2457,2489,2713,2999,2988,2761,2663,2607,2539,2531,2552,2626,2697,2860,2911,2622,2464,2411,2377,2284,2206,2614,2328,2401,2265,2029,1706,1607,1423,1212,1109,959,824,755,713,644,580,574,512,399,419,355,353,275,273,258,220,206,206,176,173,172,150,140,108,106,64,79,85,75]
[150,189,241,224,244,277,315,337,412,441,420,525,544,631,655,770,855,1032,1132,1178,1336,1481,1830,1888,1957,1892,1852,1870,1993,1999,2175,2158,2274,2299,2363,2310,2174,2112,2149,2637,2242,2133,2363,2411,2458,2396,2282,2258,2280,2356,2449,2454,2495,2620,2699,2560,2503,2415,2485,2577,2513,2555,2649,2764,2858,2697,2479,2496,2526,2434,2678,2593,2671,2781,2761,2655,2529,2910,2530,2537,2511,2511,2732,2885,2805,2582,2545,2491,2575,2675,2511,2579,2655,2731,2814,2685,2618,2472,2539,2646,2522,2639,2733,2901,2791,2555,2514,2327,2260,2263,2224,2259,2247,2197,2575,1857,1702,1460,1402,1252,1089,928,884,780,800,730,644,552,497,447,401,342,317,301,272,277,242,216,205,174,179,135,140,112,120,99,103,109,95,61]
[184,181,190,208,225,316,307,347,382,442,430,524,524,628,687,780,887,1023,1194,1247,1382,1718,1947,2134,2119,2079,2022,1943,2046,2059,2255,2258,2520,2552,2651,2428,2341,2184,2139,2230,2272,2343,2986,2709,2600,2591,2325,2255,2416,2374,2390,2494,2644,2727,2799,2682,2578,2518,2484,2723,2625,2797,2856,2997,2972,2883,2601,2537,2603,2639,2576,2676,2850,2959,2771,2809,2662,2611,2551,2536,3166,2734,2989,2987,3013,2848,2694,2544,2721,2652,2639,2771,2970,3141,3029,2906,2618,2547,2560,2489,2636,2827,2938,3061,3049,2832,2546,2325,2319,2319,2353,2442,2411,2495,2305,2081,1738,1822,1403,1241,1187,1061,929,818,716,677,605,552,514,493,419,376,310,314,254,241,246,222,186,196,183,163,129,141,105,110,92,83,86,59]
[183,196,210,214,236,268,286,315,468,404,442,514,580,549,713,797,882,1013,1195,1311,1517,1813,2243,2376,2492,2362,2143,2050,2024,2072,2240,2406,2784,2864,2859,2813,2518,2271,2198,2219,2295,2550,2849,3036,2938,2818,3149,2444,2418,2473,2527,2750,3048,3151,3129,2950,2768,2584,2473,2605,2637,3024,3247,3307,3309,3169,2887,2678,2510,2498,2687,2920,3168,3179,3139,2955,2789,2643,2585,2598,2685,3038,3331,3919,3313,3163,2743,2558,2763,2614,2725,2862,3197,3231,3275,3225,2774,2593,2608,2679,2750,3112,3340,3427,3272,3159,2780,2493,2399,2383,2427,2675,2748,2751,2692,2302,1997,1643,1562,1349,1464,991,977,857,725,666,666,555,537,509,436,370,362,302,287,256,225,190,193,170,196,168,139,120,88,124,93,92,83,86]
[151,164,195,206,222,287,296,333,375,381,457,597,590,613,757,845,921,1080,1225,1524,1727,2113,2584,3239,3385,2966,2486,2325,2254,2173,2305,2698,3078,3609,3644,3643,2594,2465,2458,2390,2542,2817,3165,3636,3785,3329,2817,2689,3079,2533,2644,3036,3281,3904,3899,3411,3017,2846,2838,2746,3013,3219,3786,4551,4476,3780,3194,3057,2810,2817,3044,3261,3537,4072,3937,3523,3143,2806,2798,2783,2997,3343,3749,4269,4105,3740,3886,3038,2789,2837,2963,3277,3659,4210,4158,3651,3188,3018,2795,2829,2879,3342,3778,4431,4480,3482,3208,2781,2607,2619,2642,2996,3194,3729,3446,2820,2296,1858,1775,1450,1168,1066,1012,970,786,689,629,569,502,516,431,411,361,333,291,261,267,202,198,176,141,146,122,136,114,120,94,71,64,73]
[180,183,194,227,251,277,304,296,363,393,451,493,583,643,832,834,919,1075,1168,1557,1918,2383,3155,4530,4870,3894,3035,2708,2499,2296,2526,2943,3688,4880,4957,4064,3299,2981,2635,2632,2690,3151,3871,4887,5055,4295,3485,3197,2758,2813,2887,3296,4578,5038,5108,4083,3470,3161,2921,2917,3077,3589,4605,5784,5699,4560,3776,3374,3018,2936,3118,3630,4208,5357,5400,4341,3625,3243,2966,2991,3256,3759,4549,5912,5609,4428,3688,3389,2924,3746,3253,3666,4413,5644,5231,4130,3596,3156,2946,2929,3200,3751,4672,5903,5564,4052,3519,3087,2775,2656,2915,3171,4132,5141,4541,3123,2743,2197,1741,1481,1250,1129,956,852,793,699,749,587,508,474,446,410,375,265,295,252,242,221,210,166,166,155,132,126,125,107,103,78,85,74]
[154,195,199,200,241,265,308,363,372,418,456,536,544,692,696,823,887,1217,1208,1434,1892,2433,3317,4825,5521,4263,3171,2757,2450,2354,2515,2987,3836,5244,5424,4239,3488,3037,2645,2554,2714,3230,4045,5500,5622,4514,3649,3238,2750,2693,2848,3252,3850,5574,5527,5023,3471,3109,2759,3050,3253,3797,4971,6526,6206,4540,3935,3231,2934,2877,3113,3498,4258,5872,5859,4499,3650,3196,3012,2956,3150,3488,4636,5908,6120,4633,3924,3290,3009,3108,3282,3492,5412,6016,5747,4382,3661,3313,2865,2866,3283,3538,4705,6161,5779,4243,3633,3136,2665,2620,2801,3224,4316,5736,4909,3370,2718,2259,1800,1480,1227,1016,942,804,716,711,636,580,547,573,438,377,328,306,290,298,222,199,178,179,150,150,150,107,113,108,106,95,79,66]
[172,205,239,223,270,281,288,322,400,452,485,525,593,677,722,797,960,1060,1140,1371,2014,2001,2758,3658,4076,3296,2910,2573,2270,2097,2322,2796,3358,4123,4368,3586,3199,2806,2525,2438,2434,2796,3376,4393,4643,3948,3396,3020,2612,2523,2659,3016,3407,4160,4499,3821,3264,3574,2719,2827,2944,3432,4103,5001,5161,4265,3601,3156,2902,2707,2872,3347,3777,4745,4773,3917,3453,3023,2747,2721,2893,3408,4130,5013,5170,4256,3474,3091,2870,2708,2970,3429,3884,4822,4932,4778,3450,3099,2713,2711,3002,3353,4010,4518,4681,3901,3254,2838,2500,2558,2661,2932,3447,4077,3899,2819,2320,2108,1676,1379,1175,1016,885,831,791,695,593,555,517,444,441,373,384,316,282,257,212,188,212,182,156,165,140,121,111,107,97,88,78,79]
[147,190,230,243,232,283,306,366,356,393,479,509,579,661,684,769,891,1014,1114,1254,1462,1665,2035,3299,2948,2719,2407,2238,2110,2165,2144,2370,2930,3297,3485,3094,2866,2573,2495,2378,2405,2571,3010,3659,3674,3160,3033,2683,2554,2384,2491,2682,3039,3575,3744,3403,3081,2864,2603,2500,3282,2891,3480,3793,4030,3592,3210,2958,2716,2539,2541,2785,3222,3734,3649,3475,3013,2929,2760,2598,2766,2969,3482,4029,4022,3553,3271,3051,2756,2676,2660,3041,3403,3796,4181,3416,3122,2872,3129,2537,2614,2870,3369,3842,3819,3314,2963,2718,2426,2337,2323,2462,2859,3217,3136,2482,2233,1969,1601,1324,1151,1016,886,804,798,662,621,564,515,454,424,379,364,312,315,311,247,218,203,177,156,152,137,156,138,98,92,81,72,57]
[178,181,239,218,303,258,320,342,392,401,474,501,585,639,749,748,895,1083,1171,1240,1347,1550,1851,2228,2379,2398,2577,2075,2163,2058,2086,2315,2471,2853,2748,2872,2522,2381,2486,2302,2306,2374,2648,2902,3055,3067,2756,2494,2510,2459,2367,2483,2709,3079,3130,3124,2881,2627,2608,2627,2500,2700,2922,3879,3372,3191,2802,2743,2688,2493,2560,2674,2896,3161,3180,3161,2850,2644,2616,2598,2560,2695,2953,3300,3310,3137,2807,2778,2812,2644,2599,2746,3078,3240,3382,3127,2871,2568,2683,2572,3020,2662,2930,3194,3177,2965,2581,2440,2355,2202,2076,2236,2510,2630,2537,2279,1818,1669,1483,1276,1073,983,863,854,749,698,586,506,523,452,420,379,340,325,283,276,224,238,228,195,162,143,145,147,107,110,94,97,84,60]
[205,194,197,247,252,290,301,376,338,425,466,534,607,653,716,763,929,932,1079,1206,1351,1485,1655,1907,2061,2129,1977,2044,2081,2627,2170,2305,2349,2530,2505,2528,2435,2300,2255,2332,2364,2408,2632,2669,2765,2710,2537,2467,2415,2453,2533,2400,2501,2855,2972,2666,2584,2526,2493,2441,2551,2566,2718,2815,2998,2819,3127,2612,2585,2483,2577,2496,2699,2758,2767,2592,2585,2468,2512,2445,2425,2520,2708,2836,2910,2795,2611,2629,2599,2607,2530,2678,2676,2987,2966,2757,2561,2630,2510,2514,2633,2538,2692,3392,2807,2578,2405,2399,2304,2230,2117,2098,2172,2271,2149,2023,1591,1580,1357,1177,1079,940,844,782,688,670,598,521,527,475,420,395,356,322,293,250,244,249,182,197,163,194,138,146,110,114,87,83,76,72]
[166,222,225,240,258,308,320,374,398,441,484,531,581,651,737,789,938,1043,1117,1245,1424,1621,1864,1953,2114,1996,1860,1966,1974,2133,2106,2314,2779,2484,2311,2382,2265,2245,2306,2336,2439,2522,2692,2671,2725,2545,2421,2516,2439,2446,2506,2541,2660,2783,2783,2705,2482,2528,2517,2468,2450,2526,2600,2772,2769,2767,2522,2500,2469,3092,2597,2586,2808,2808,2726,2720,2624,2485,2551,2490,2567,2574,2643,2847,2773,2768,2622,2559,2607,2615,2651,2645,2811,2886,2764,2668,2584,2413,2426,2521,2588,2586,2648,2767,2757,2549,2842,2255,2260,2204,2068,2129,2133,2212,2061,1790,1568,1395,1339,1160,1009,927,840,722,708,671,600,559,493,441,428,377,345,298,315,284,272,211,234,202,172,156,132,144,156,111,123,96,69,78]
[184,194,239,229,260,294,324,359,392,461,458,523,596,652,705,758,947,993,1179,1303,1470,1639,1949,2195,2050,2198,2001,1948,2084,2168,2167,2299,2627,2649,2602,2994,2328,2400,2368,2422,2370,2671,2679,3029,2957,2567,2620,2460,2476,2458,2627,2798,2845,3026,3028,2815,2728,2508,2536,2565,2594,2591,2940,3169,3057,2795,2644,2490,2668,2524,2650,2782,3673,3019,2786,2793,2661,2505,2541,2507,2489,2742,2858,3011,2968,2660,2524,2495,2440,2561,2652,2680,2973,2924,2870,2815,2602,2413,2507,2488,2626,2614,2992,2921,2757,2692,2463,2262,2254,2172,2676,2177,2347,2416,2087,1875,1571,1493,1346,1288,1042,934,902,818,714,603,681,562,504,453,436,372,345,316,281,260,245,213,212,181,153,156,157,122,113,109,100,115,89,76]
[182,191,266,253,272,300,318,367,390,423,456,547,583,653,745,814,923,1092,1169,1409,1604,1998,2297,2563,2532,2322,2151,1965,2106,2167,2384,2636,2888,2985,2844,2812,2637,2387,2442,2911,2591,2975,3232,3299,3171,3018,2712,2558,2536,2659,2650,2954,3196,3282,3235,3110,2741,2583,2580,2537,2872,2886,3265,3397,3135,3064,2838,2637,2625,2627,2767,3103,3274,3242,3181,2974,2782,3235,2606,2681,2768,2969,3205,3182,3184,2964,2710,2586,2614,2677,2836,3058,3192,3380,3311,2909,2788,2561,2427,2610,2817,3119,3339,3207,3112,2886,2561,2477,2310,2180,2347,2557,2686,2629,2855,2030,1714,1660,1355,1204,1072,983,861,758,704,671,617,537,458,466,457,375,294,330,291,244,224,198,193,188,173,132,134,126,112,99,96,91,79,75]
[198,180,220,246,265,354,338,370,391,401,452,562,598,700,747,781,901,1046,1216,1433,1850,2187,2566,3330,3404,2936,2609,2310,2340,2225,2574,2902,3414,3729,3670,3259,2933,2702,2517,2602,2958,3184,4297,4140,3839,3417,3014,2933,2774,2735,2921,3320,3628,4157,4034,3609,3091,2917,2713,2702,2911,3274,3632,4073,3971,3549,3148,2943,2743,2817,2996,3250,3634,4125,3822,3540,3237,3077,2882,3362,2894,3367,3734,4079,3843,3287,3091,2935,2778,2896,3155,3455,3825,4288,3928,3495,3094,2834,2792,2732,3091,3369,3829,4386,3980,3510,2957,2865,2545,2636,2696,2741,3157,3601,3320,2625,2214,2324,1580,1264,1152,987,873,779,734,630,632,555,479,471,414,387,337,303,272,249,231,238,181,192,186,161,141,125,113,95,98,89,81,69]
[196,211,224,231,243,307,291,356,423,418,492,498,571,612,752,805,950,1033,1170,1429,1848,2291,3088,4411,5004,3789,2845,2660,2382,2513,2749,3009,3859,4869,4641,3909,3329,2971,2734,2742,2944,3376,4101,5173,5251,4857,3523,2995,2885,2851,3055,3415,4135,5354,5091,4169,3291,3085,2744,2841,3014,3383,4261,5173,5258,4189,3379,3153,3036,2904,3062,3471,4170,5390,5394,4297,3716,3373,2978,2823,3046,3337,4916,5357,5102,3850,3412,3154,2856,3022,3284,3571,4495,5269,4904,3941,3499,3111,2775,2787,3221,3541,4812,5795,5044,3994,3496,3033,2734,2744,2880,3084,3855,5118,4189,3203,2675,2264,1849,1447,1486,986,887,833,759,709,628,578,507,471,377,385,350,288,318,291,239,259,212,198,161,149,150,122,136,132,112,89,109,80]
[199,180,223,241,260,273,308,335,371,416,478,625,588,685,765,813,943,1062,1111,1428,1830,2335,3285,4852,5466,4044,3154,2770,2467,2420,2670,2850,3874,5225,5633,4365,3634,3150,2806,2751,2998,3288,4280,5991,5966,4918,3839,3359,3525,2878,3057,3455,4315,5926,5967,4603,3796,3201,2896,2878,3056,3520,4555,5731,5776,4409,3749,3282,2908,2918,3133,3560,4428,5893,5850,4508,3925,3221,2921,2960,3052,3577,4059,5562,5677,5073,3649,3273,2948,3061,3410,3705,4589,5884,5604,4146,3790,3111,2804,2954,3152,3626,4677,6237,6033,4273,3656,2989,2680,2759,2765,3209,4020,5305,4856,3425,2858,2279,1775,1451,1204,1055,917,975,750,662,640,558,491,458,427,377,346,354,312,264,234,222,206,173,165,163,126,143,123,125,116,92,86,71]
[181,189,200,226,254,259,327,339,404,407,473,508,572,646,869,863,911,996,1137,1349,1578,2031,2514,3667,4066,3704,2876,2596,2410,2328,2403,2669,3259,4235,4832,4006,3479,3152,2736,2572,2731,3103,3647,4848,5282,4403,3670,3210,2846,2654,2781,3770,3665,4789,5076,4223,3743,3145,2839,2694,2924,3130,3610,4474,4930,4219,3716,3288,2799,2753,2989,3299,3686,4620,4886,4340,3766,3458,2834,2800,2783,3117,3625,4221,4792,4260,3562,3272,3508,2886,3072,3258,3917,4731,4725,3959,3458,3086,2745,2806,2895,3226,4069,5007,5022,4288,3561,3113,2626,2542,2504,2801,3250,4213,4242,3283,2647,2259,1833,1367,1175,1019,880,787,711,590,634,511,543,446,381,373,313,323,276,249,259,219,193,184,169,162,127,165,116,90,96,97,83,87]
[177,208,217,233,275,273,332,338,433,412,471,562,574,644,744,769,893,1126,1153,1257,1508,1694,2065,2747,2921,2763,2542,2437,2147,2065,2155,2458,2789,3429,3619,3359,3115,2730,2536,2411,2469,2741,3222,3834,3958,3549,3260,3044,2682,2570,2511,2835,3033,3711,4695,3549,3248,2967,2629,2499,2640,2862,3300,3660,3806,3676,3224,2968,2655,2666,2773,2981,3434,3694,3968,3717,3255,2974,2715,2742,2536,2916,3342,3735,3861,3627,3189,2993,2869,2640,2682,3477,3479,3722,3917,3472,3043,2930,2583,2645,2727,3006,3506,3838,3809,3442,3218,2802,2453,2310,2354,2502,3028,3262,3272,2671,2217,2011,1719,1412,1154,1004,905,768,675,702,611,542,616,427,363,362,344,318,270,258,237,240,218,194,177,159,162,130,126,109,80,96,79,94]
[155,200,199,247,287,325,343,351,366,433,461,537,582,665,676,798,922,928,1054,1200,1555,1452,1838,2235,2483,2473,2193,2010,2137,2048,2164,2179,2502,2770,2890,2857,2667,2567,2492,2378,2319,2536,2757,3047,3303,3118,2905,2696,2670,2547,2545,2597,2764,3045,3250,3172,3053,3262,2650,2489,2427,2575,2821,3107,3269,3173,2821,2784,2693,2635,2626,2681,3048,3271,3303,3136,2947,2752,2671,2631,2577,2517,2879,3194,3286,3200,2859,2797,2735,2601,2608,2800,2951,3223,4010,3226,2801,2587,2604,2526,2525,2645,2760,3236,3079,3059,2793,2597,2365,2233,2107,2102,2359,2523,2545,2365,1929,1632,1511,1285,1021,965,820,787,688,622,601,546,539,451,435,382,392,290,277,261,249,208,217,166,174,155,200,131,115,100,97,74,93,95]
[185,220,243,270,285,294,285,354,400,429,477,548,559,619,695,790,891,945,1091,1263,1323,1474,1994,1961,2058,1936,2002,1992,1970,2043,2134,2166,2369,2550,2558,2527,2267,2410,2246,2370,2348,2443,2566,2809,2883,2624,2490,2443,2538,2457,2545,2575,2610,2837,2907,2675,2558,2560,2464,2508,2947,2555,2658,2851,2940,2781,2658,2605,2592,2582,2561,2783,2788,3081,2942,2909,2665,2591,2545,2538,2541,2570,2790,2909,2900,2826,2616,2631,2680,2606,2606,2688,2792,2987,2938,2840,2647,3020,2447,2401,2460,2499,2700,2879,2765,2513,2467,2300,2243,2078,2141,2042,2172,2227,2154,1873,1627,1541,1361,1171,994,929,815,732,663,633,633,555,474,428,400,358,332,342,356,255,251,197,181,168,175,161,135,125,118,111,90,90,82,71]
[170,202,206,228,270,303,330,376,405,413,495,546,590,686,681,795,903,934,1097,1244,1298,1462,1682,1720,1935,1923,2290,1797,1987,2062,2155,2170,2389,2458,2522,2440,2320,2235,2327,2373,2428,2392,2550,2623,2794,2528,2519,2418,2404,2502,2559,2578,2677,2808,2824,2710,2471,2435,2444,2580,2557,2607,2672,3451,2809,2612,2529,2595,2502,2690,2691,2749,2826,3063,2889,2851,2596,2551,2562,2531,2561,2580,2811,2881,2900,2685,2501,2623,2663,2759,2690,2763,2823,2976,2984,2736,2589,2538,2489,2442,2925,2575,2652,2685,2689,2440,2326,2150,2159,2136,2142,2063,2169,2160,2118,1760,1618,1369,1245,1211,1074,905,860,767,731,647,589,509,535,445,388,342,318,332,317,288,270,197,253,172,155,156,174,131,128,111,107,92,92,82]
[191,194,219,250,270,299,316,349,400,460,495,596,579,646,724,837,902,958,1169,1231,1340,1624,1810,1933,2053,2049,1991,1882,1904,2208,2187,2419,2483,2666,2625,2988,2323,2426,2386,2423,2536,2567,2907,2971,2952,2816,2675,2509,2404,2591,2642,2881,2945,3085,2944,2865,2768,2637,2558,2673,2679,2782,2976,3085,3132,2894,2772,2566,2697,2649,2773,3020,3919,3290,3078,2950,2782,2736,2621,2736,2813,2944,3030,3254,3205,2915,2776,2654,2697,2702,2809,2930,3212,3380,3179,2915,2729,2632,2542,2658,2655,2674,2865,3021,2715,2612,2368,2155,2085,2723,2250,2314,2462,2392,2144,1847,1626,1433,1312,1126,1053,929,873,785,705,714,657,530,483,460,422,365,331,315,307,283,257,228,235,195,165,157,152,132,150,126,117,115,89,81]
[212,235,193,264,255,311,333,377,396,428,485,569,570,637,741,794,874,1020,1132,1297,1537,1807,2093,2298,2432,2349,2168,1995,2042,2197,2207,2700,2772,3032,3011,2738,2664,2432,2982,2538,2594,2910,3201,3444,3283,3045,2777,2679,2538,2681,2802,3066,3406,3499,3388,3254,2833,2729,2625,2587,2690,3036,3188,3381,3369,3169,2977,2774,2828,2803,3076,3398,3699,3877,3670,4074,3083,2905,2806,2789,3108,3301,3587,3668,3602,3374,3017,2817,2768,2762,3058,3320,3697,3735,3596,3252,3066,2911,2717,2764,2894,3066,3334,3247,3266,2984,2619,2384,2289,2337,2446,2643,2896,3360,2670,2230,1830,1631,1450,1307,1147,1008,918,832,806,655,633,566,478,472,449,403,364,307,325,282,256,236,213,186,194,170,156,135,116,128,120,88,91,82]
[189,206,234,265,350,268,331,364,431,433,473,538,594,664,722,761,860,1008,1138,1383,1722,2069,2465,3140,3006,2788,2398,2313,2151,2228,2413,2935,3259,3543,3693,3098,2946,2726,2628,2642,2838,3757,3734,4134,4002,3588,3045,2947,2832,2810,3253,3406,3905,4374,4404,3705,3227,3077,2825,2838,3153,3423,3704,4094,4080,3730,3240,2963,2898,2982,3439,3654,4186,4619,4495,3910,3432,3150,3552,2948,3213,3523,4012,4482,4288,3631,3322,3160,2912,3151,3348,3712,4338,4772,4579,3972,3461,3086,2952,2884,3190,3501,3866,4293,3868,3324,2887,2675,2419,2456,2792,3032,3404,3628,3437,3259,2101,1870,1547,1328,1161,973,943,763,700,681,641,590,517,498,398,411,365,310,316,283,263,231,190,204,170,151,140,149,125,108,122,115,101,95]
[197,204,210,224,251,281,292,436,406,480,493,544,608,653,733,844,943,990,1197,1568,1927,2335,3239,4341,4388,3472,2977,2542,2415,2356,2696,3054,4003,4983,4691,3926,3277,2947,2768,2726,3052,3424,4226,5415,6230,4052,3515,3053,2971,2948,3308,3742,4671,5889,5558,4274,3672,3260,2977,3031,3320,3601,4433,5391,5018,4239,3655,3303,3140,3227,3495,4196,5242,6716,5985,4556,3918,3391,3148,3192,3535,4847,5292,6210,5656,4456,3774,3369,3132,3296,3570,4070,5141,6478,5793,4602,3859,3357,3211,3128,3430,3694,4757,5608,4724,3823,3179,2886,2646,2632,2958,3266,4420,5054,4352,3256,2595,2184,1692,1681,1159,1011,878,814,716,677,620,592,522,434,466,414,333,309,290,264,252,238,213,210,199,168,138,128,132,101,100,82,87,80]
[186,218,220,258,287,320,313,342,344,443,640,566,616,677,740,823,922,1008,1184,1378,1709,2143,2982,4278,4818,3814,3164,2657,2447,2341,2618,2985,3704,5218,5416,4398,3584,3108,2736,2714,2942,3452,4200,5619,5898,4661,3868,4021,2943,2943,3118,3638,4533,6213,5981,4570,3916,3389,3016,2921,3171,3683,4393,5485,5585,4393,3849,3304,3080,2997,3308,3916,4954,6703,6451,5055,4174,3536,3130,3024,3250,3714,4836,5966,7188,4654,4067,3437,3119,3166,3453,3857,5113,6334,6003,4922,4106,3446,3090,3048,3260,3622,4461,5460,4966,3993,3404,2900,2585,2538,2795,3210,4221,5372,4730,3345,2699,2292,1882,1542,1243,1094,1075,766,797,674,571,576,489,466,429,405,326,346,309,293,213,241,209,206,183,154,159,131,134,129,110,81,80,91]
[187,208,228,259,272,303,297,347,422,453,503,523,641,807,696,847,957,1057,1077,1306,1556,1923,2464,3473,3955,3332,2925,2443,2318,2176,2426,2635,3470,4161,4655,3808,3236,2911,2624,2598,2750,3094,3432,4455,4924,4181,3560,3236,2904,2727,3446,3271,3915,4672,4911,4396,3724,3314,2940,2735,2929,3270,3698,4417,4859,4131,3606,3182,2922,2810,3102,3418,4076,4829,5232,4530,3946,3489,2932,2850,3065,3328,4100,4824,5232,4490,3903,4145,3023,3013,3205,3568,4187,4883,4982,4361,3679,3295,2935,2783,2956,3216,3621,4253,4156,3795,3088,2888,2506,2370,2398,2768,3262,3884,3782,3142,2434,2284,1760,1513,1203,1016,892,786,781,816,637,576,487,446,409,401,311,327,279,281,254,237,202,178,162,191,147,121,109,106,100,100,81,104]
[208,216,226,249,270,295,334,321,409,464,485,489,572,685,740,809,1075,1047,1091,1240,1469,1620,1980,2598,2881,2746,2507,2246,2169,2110,2070,2369,2754,3217,3320,3131,2933,2704,2518,2480,2512,2685,3083,3532,3809,3450,3049,2924,2776,2598,2478,2902,3201,3959,4767,3629,3470,2944,2726,2550,2605,2855,3220,3648,3833,3447,3249,3079,2483,2612,2770,3120,3618,4030,4059,3830,3295,3370,2625,2553,2701,2914,3478,3899,4106,3764,3486,3092,2892,2780,2905,3703,3840,4026,4049,3733,3385,3098,2726,2646,2708,3030,3019,3413,3542,3169,2665,2551,2257,2281,2325,2455,2955,3132,2986,2554,2136,2008,1598,1308,1128,976,831,810,717,661,629,575,614,426,376,398,330,308,292,272,266,211,193,204,154,162,164,134,112,109,126,100,107,66]
[195,234,261,260,302,275,379,358,391,466,481,542,641,691,749,899,848,1024,1193,1284,1383,1629,1935,2282,2316,2243,2534,2155,2109,2028,2167,2435,2680,2959,2886,2671,2456,2380,2378,2352,2434,2640,2939,3192,3185,2975,2740,2643,2615,2594,2586,2853,3137,3235,3359,3189,2813,2737,2679,2616,2633,2805,3128,3913,3412,3054,2997,2795,2577,2620,2772,2987,3289,3567,3523,3217,3015,2794,2679,2691,2826,2939,3304,3509,3519,3263,2925,2957,2700,2716,2820,3064,3299,3634,3567,3309,2902,2840,2792,2747,3105,3309,3184,3119,2917,2726,2448,2405,2373,2157,2246,2414,2551,2725,2425,2018,1729,1596,1382,1125,954,886,830,755,677,618,559,578,481,453,359,382,313,327,286,250,261,270,179,165,181,163,150,130,122,107,95,89,90,92]
[211,221,216,248,285,296,331,353,406,446,479,559,593,669,718,823,894,997,1103,1298,1303,1470,1711,1978,2133,2000,1864,1998,2447,2080,2155,2316,2440,2496,2544,2416,2380,2320,2369,2396,2323,2494,2618,2913,2950,2694,2552,2581,2529,2472,2474,2662,2745,2958,3033,2896,2560,2557,2654,2475,2555,2592,2847,3027,3017,2796,3211,2580,2611,2603,2557,2663,2936,3197,3121,2820,2733,2726,2673,2739,2688,2763,2917,3185,3056,2846,2686,2752,2678,2742,2758,2762,2996,3198,3193,2972,2797,2793,2698,2559,2619,2612,2690,3412,2757,2529,2378,2386,2263,2224,2180,2128,2287,2344,2200,1806,1659,1612,1380,1153,1058,891,824,719,714,661,595,579,511,446,431,365,317,315,301,293,233,258,191,195,220,150,142,138,120,129,109,101,84,85]
[184,223,238,266,285,325,344,374,435,425,452,526,604,674,702,803,909,1063,1152,1332,1338,1569,1698,1942,2034,1926,1933,1851,1961,2144,2122,2646,2386,2523,2465,2388,2159,2421,2330,2269,2496,2455,2665,2750,2794,2644,2390,2444,2452,2514,2498,2617,2662,2797,2954,2782,2635,2613,2577,2567,2692,2619,2827,2998,3006,2782,2570,2507,2539,3055,2583,2782,2842,3070,2960,2811,2707,2685,2741,2691,2826,2741,2887,3139,2933,2786,2625,2686,2691,2676,2767,2770,2867,3130,3088,2973,2793,2595,2649,2681,2641,2644,2767,2920,2830,2586,2840,2317,2264,2175,2227,2138,2252,2286,2052,1786,1632,1443,1289,1159,1075,963,904,762,667,635,580,555,512,478,460,376,361,306,289,260,245,244,229,196,171,162,150,144,137,113,106,100,85,91]
[188,190,225,243,303,294,324,361,390,465,498,564,594,660,739,813,880,918,1154,1335,1460,1596,1930,2045,2160,2119,2091,2063,2042,2008,2151,2266,2517,2547,3116,2346,2344,2218,2211,2273,2437,2653,2800,2805,2740,2772,2546,2482,2479,2457,2566,2627,2854,3035,3008,2838,2602,2584,2465,2581,2636,2860,2886,2985,2985,2771,2568,2540,2573,2618,2596,2751,3626,3085,2966,2888,2814,2675,2615,2724,2725,2819,2985,3219,3233,2946,2693,2748,2507,2679,2762,2798,3098,3165,3188,2878,2747,2830,2729,2612,2748,2894,3035,3086,3063,2810,2479,2334,2409,2749,2349,2549,2473,2425,2238,2034,1636,1504,1424,1221,1058,988,877,816,742,657,613,548,525,457,486,368,351,317,316,274,232,222,221,205,173,162,135,142,133,108,105,95,85,73]
[216,229,218,247,271,312,326,385,400,445,472,537,611,698,759,783,907,1078,1239,1488,1639,1951,2315,2563,2541,2290,2198,2147,2073,2154,2364,2579,2765,2944,2926,2623,2520,2797,2453,2459,2606,2917,3260,3156,3104,2930,2842,2674,2676,2646,2671,2986,3306,3335,3306,3192,2903,2688,2611,2739,2800,3047,3399,3382,3151,3072,2807,2743,2609,2585,2870,3130,3274,3502,3301,3780,2795,2757,2726,2784,3104,3330,3513,3629,3472,3176,2935,2766,2694,2834,2961,3271,3543,3582,3544,3270,2979,2777,2707,2810,2982,3264,3500,3614,3305,2997,2655,2472,2330,2400,2528,2784,3593,2831,2635,2129,1915,1728,1521,1310,1114,988,828,869,705,722,631,553,530,486,414,406,360,331,294,272,263,265,230,199,163,169,157,148,130,124,104,104,76,90]
[185,222,230,295,255,325,332,404,422,463,495,562,585,632,742,816,948,1091,1196,1523,1886,2216,2821,3227,3288,2878,2518,2424,2334,2345,2531,2826,3316,3702,3431,3084,2831,2712,2568,2631,3472,3317,3808,4153,3915,3449,3068,2844,2667,2829,3057,3207,3562,4009,3993,3484,3129,3002,2852,2804,3171,3306,3783,3888,3914,3459,3126,2866,2883,2816,3098,3298,3775,4126,3985,3526,3135,3011,3321,2826,3179,3619,4033,4297,3972,3536,3183,2912,2915,2958,3080,3580,3936,4252,4051,3669,3239,2985,2839,2889,3189,3545,4047,4432,4087,3490,3061,2712,2571,2558,2815,3115,3440,3662,3284,3216,2136,1947,1557,1275,1193,979,888,747,757,701,595,565,495,434,442,414,365,305,306,261,265,255,187,179,167,142,146,134,127,127,117,114,98,86]
[184,212,244,282,282,250,414,401,425,462,489,565,629,655,747,821,886,1085,1250,1619,1967,2448,3296,4525,4605,3619,2997,2721,2480,2529,2602,3113,3841,4836,4582,3686,3139,2956,2675,2712,2959,3349,4162,6145,5116,4153,3479,3129,2935,2913,3268,3550,4338,5350,5018,4314,3615,3208,2939,2957,3210,3623,4395,5006,4758,3977,3406,3201,3041,2857,3235,3560,4209,5030,5064,4045,3697,3430,3058,3072,3346,4468,4775,5848,5373,4160,3755,3218,3055,3026,3445,3899,4844,5929,5547,4375,3724,3210,3061,3126,3427,3986,5191,6078,5252,4205,3373,2947,2829,2902,3003,3557,4578,5541,4542,3483,2724,2294,2118,1505,1194,1057,889,800,755,713,654,562,548,483,449,401,373,340,278,267,254,231,226,192,162,154,135,134,129,118,122,99,71,83]
[208,202,254,275,295,310,320,341,388,442,567,493,633,665,768,787,926,1069,1270,1540,1917,2481,3512,5053,5179,3740,3325,2847,2516,2470,2742,2995,3858,5021,5086,3972,3609,3116,2707,2712,3013,3424,4309,5778,5799,4485,3816,3846,2888,3060,3032,3621,4517,5833,5406,4267,3701,3262,2951,2964,3363,3576,4719,5649,5250,4224,3798,3263,2796,2976,3198,3550,4422,5743,5538,4376,3915,3234,3033,3053,3228,3677,4586,5894,6853,4462,3837,3324,3049,3107,3463,3806,4956,6459,6061,4505,3983,3268,3088,3075,3368,3909,5082,6755,5960,4340,3628,3119,2821,2754,3029,3269,4506,5840,5172,3653,2974,2396,1874,1522,1229,1279,922,847,733,660,662,564,515,459,385,418,368,340,304,271,263,216,186,196,181,143,163,156,130,120,114,100,90,77]
[189,202,225,232,273,292,354,353,400,432,484,503,727,665,736,908,889,1103,1159,1396,1781,2095,2768,3782,3953,3462,2897,2662,2345,2295,2574,2708,3102,3897,4061,3614,3225,2935,2707,2550,2726,3084,3563,4506,4690,4177,3552,3133,2840,2746,3537,3410,3971,4830,4702,3973,3657,3177,2931,2754,3036,3277,3848,4595,4543,3944,3538,3101,2817,2754,2991,3370,3817,4593,4643,4071,3506,3138,2929,2795,2931,3451,3714,4569,4757,4035,3622,3804,2885,2813,3133,3528,4297,4893,4906,4037,3491,3257,2883,2864,3117,3555,4011,5013,4855,4145,3423,3021,2638,2504,2802,3029,3720,4624,4328,3238,2671,2303,1815,1489,1186,1049,981,829,866,659,617,598,533,447,375,332,364,333,291,266,226,210,214,191,172,152,135,152,138,129,120,105,86,82]
[186,219,217,270,290,305,350,410,409,419,502,565,601,658,672,805,1181,1043,1144,1383,1585,1773,2261,2793,3000,2807,2657,2571,2209,2176,2266,2481,2752,3147,3208,3238,2897,2780,2575,2373,2557,2785,3152,3538,3639,3575,3121,2942,2715,2480,2634,2918,3315,4459,3797,3525,3282,2986,2728,2655,2961,3030,3528,3827,3806,3511,3353,2910,2806,2616,2825,2934,3391,3789,3923,3419,3309,3036,2841,2659,2821,2966,3391,3696,3734,3475,3249,2938,2746,2671,3440,3115,3556,3915,3885,3562,3330,3094,2760,2590,2801,3032,3492,3790,3758,3342,3149,2820,2484,2414,2387,2648,2981,3546,3164,2719,2247,2082,1737,1381,1190,1059,907,827,752,655,577,681,466,444,426,379,354,317,315,253,278,222,215,188,173,147,162,130,121,126,98,103,85,93]
[187,224,208,249,274,336,356,359,374,439,447,533,564,619,716,817,846,972,1318,1339,1375,1547,1872,2146,2621,2435,2147,2205,2140,2205,2213,2279,2552,2821,2834,2872,2508,2586,2466,2361,2435,2521,2864,3022,3220,3126,2785,2718,2621,2558,2546,2662,2880,3363,3451,3332,3610,2878,2795,2674,2689,2850,3073,3371,3464,3290,2939,2809,2813,2642,2675,2745,3088,3404,3361,3326,3004,2872,2766,2557,2634,2823,3052,3259,3397,3234,3042,2795,2738,2581,2649,2891,2983,4152,3544,3294,3052,2899,2741,2585,2574,2821,3011,3263,3223,2988,2817,2590,2399,2279,2202,2298,2574,2759,2643,2430,1924,1860,1554,1335,1129,1016,838,775,747,678,621,569,481,457,490,398,363,329,283,273,263,221,226,216,177,167,165,116,124,131,116,72,85,79]
[206,187,242,274,293,303,319,362,411,405,448,537,605,665,739,831,924,936,1157,1331,1386,1889,1887,2081,2176,1998,1911,2090,2127,2118,2182,2276,2437,2632,2588,2445,2335,2277,2381,2324,2387,2450,2629,2889,2915,2591,2438,2482,2478,2535,2514,2554,2798,3042,3054,2709,2610,2574,2619,3161,2629,2686,2903,3210,3033,2841,2620,2687,2683,2465,2554,2713,2767,3096,2933,2776,2599,2630,2479,2523,2615,2590,2734,3089,2963,2851,2619,2569,2612,2648,2589,2681,2849,3166,2920,2697,3293,2711,2447,2588,2492,2568,2745,2855,2785,2510,2539,2375,2250,2282,2143,2106,2285,2371,2311,1805,1692,1604,1387,1197,1040,950,838,778,711,690,566,565,501,468,409,405,326,370,277,253,233,221,198,204,178,160,139,127,115,104,116,89,87,104]
[209,246,244,267,290,337,314,350,400,484,482,578,621,665,691,866,899,1009,1117,1338,1353,1622,1739,2029,2454,1935,1962,1941,2060,2124,2244,2342,2455,2564,2645,2420,2305,2380,2334,2387,2417,2413,2740,2860,2840,2565,2522,2435,2529,2501,2637,2659,2833,2887,2967,2808,2684,2568,2585,2679,2591,2716,3540,3027,3001,2745,2627,2667,2676,2561,2619,2619,3016,3063,2966,2752,2622,2529,2568,2620,2630,2706,2830,3007,2899,2746,2594,2531,2636,2646,2577,2729,2827,3058,2874,2682,2401,2502,2505,3022,2450,2659,2773,2708,2678,2541,2443,2253,2252,2144,2121,2142,2282,2299,2103,1832,1575,1520,1323,1123,1029,955,809,751,711,647,590,553,479,435,436,411,355,297,307,273,268,214,204,199,184,133,142,127,144,99,100,85,78,65]
[196,219,222,257,252,315,368,346,451,417,532,530,615,652,734,873,959,995,1154,1399,1451,1647,1983,2056,2197,2033,2066,2448,2017,2167,2326,2550,2699,2715,2684,2532,2393,2386,2447,2411,2529,2718,2946,3022,2858,2758,2602,2392,2595,2727,2752,2966,3059,3283,3064,2979,2832,2691,2621,2583,2808,3063,3244,3415,3783,2886,2864,2666,2699,2783,2825,2977,3206,3270,3057,2807,2640,2580,2582,2562,2569,2754,2950,3161,2994,2673,2660,2522,2560,2586,2539,2850,3088,3106,2995,2816,2549,2524,2516,2643,2540,2782,3492,2896,2804,2536,2362,2233,2291,2263,2326,2372,2403,2432,2151,1902,1653,1565,1330,1154,989,876,807,757,716,674,598,501,511,438,398,399,347,319,253,270,223,210,204,198,155,165,124,132,114,133,103,99,86,81]
[205,208,265,244,287,288,376,389,419,470,482,537,627,680,744,873,958,1042,1264,1470,1740,2020,2338,2560,2578,2292,2130,2050,2222,2192,2989,2880,3158,3154,2940,2817,2496,2406,2407,2504,2815,3164,3361,3376,3145,2920,2782,2689,2646,2701,2917,3328,3683,3703,3466,3182,2870,2764,2774,2863,3129,3307,3732,3759,3534,3248,2970,3271,2745,2913,3165,3531,3695,3526,3430,3251,2803,2763,2638,2804,2995,3263,3461,3469,3434,3089,2665,2678,2697,2861,3025,3251,3596,3544,3385,3066,2931,2699,2614,2873,2957,3110,3482,3306,3142,3418,2532,2519,2336,2401,2525,2794,2984,2761,2569,2149,1811,1638,1406,1312,1048,966,888,788,703,640,592,522,477,483,417,382,331,314,265,240,224,219,190,208,168,157,168,114,122,116,117,87,82,68]
[206,230,252,268,277,299,384,360,385,424,494,576,619,676,707,841,929,1035,1213,1507,1910,2210,2861,3461,3400,2795,2409,2383,2262,2312,2647,3082,3644,4732,3720,3157,2943,2784,2737,2771,2974,3433,3899,4098,3839,3423,3087,2931,2806,3042,3297,3519,4138,4421,4293,3703,3311,3050,2827,3062,3503,3818,4296,4568,4354,3748,3436,3076,2911,3136,3381,4401,4154,4435,4236,3639,3296,2896,2949,2980,3180,3550,3879,4359,3884,3414,3084,2904,2793,3022,3176,3544,4024,4492,4233,3529,3046,2953,3101,3031,3151,3513,3914,4278,3859,3368,2896,2668,2831,2623,2861,3072,3528,3597,3215,2439,2166,1897,1596,1316,1121,922,899,820,666,661,557,512,482,465,413,370,356,317,329,294,234,236,196,210,207,150,138,151,135,155,117,85,96,67]
[213,231,253,266,305,328,343,348,401,412,497,547,657,622,740,845,925,1005,1245,1577,2017,2508,3591,4662,4005,3329,2609,2485,2456,2430,2966,3249,4310,5227,4663,4556,3207,2923,2796,2870,3250,3590,4687,5312,4692,3884,3427,3030,2955,3111,3408,3931,5138,5790,5268,4232,3582,3514,2976,3427,3455,4261,5313,5907,5038,4086,3635,3212,3107,3331,3576,3961,6396,5785,5019,4063,3537,3110,3016,3146,3363,3778,4800,5402,4650,3896,3240,3028,3012,3178,3425,3879,5043,5479,4747,3774,3416,2926,2897,2999,3359,3929,5119,5632,4639,3706,3304,2786,2598,2903,3551,3565,4616,4627,3700,2768,2389,1902,1629,1351,1174,982,845,824,738,659,582,519,467,488,370,329,343,289,285,250,238,214,173,177,158,166,154,140,110,118,100,129,93,75]
[193,289,228,263,277,306,333,386,413,459,545,542,606,698,734,808,937,1054,1245,1559,1879,2599,3489,5000,4478,3442,3052,2488,2398,2401,2639,3194,4166,5426,5228,4127,3392,2937,3340,2778,3086,3718,4718,5490,4957,4078,3594,3092,2946,3058,3315,3847,5053,6355,5644,4509,3755,3315,3033,3086,3321,4010,5074,6330,5749,4342,3827,3236,3152,3212,3430,4052,4956,6199,5463,5119,3575,3184,3069,3169,3331,3696,4462,5538,4781,3972,3416,3063,2832,2924,3171,3768,4882,5770,5232,4004,3545,3102,2776,2860,3093,3527,4838,5796,5143,3994,3429,2960,2575,2564,2799,3231,4451,6173,4241,3063,2544,2029,1658,1389,1132,963,886,756,704,663,571,514,483,420,382,351,329,302,282,246,235,227,189,192,191,165,135,133,118,126,87,85,98,66]
[199,222,232,280,280,335,379,387,386,438,483,585,610,651,717,801,913,983,1150,1340,1732,2080,2822,3753,3694,3100,2752,2483,2302,2339,2461,2979,3539,4236,4154,3776,3290,2939,2561,2574,2757,3871,3937,4614,4472,3832,3365,3054,2720,2773,3041,3623,4324,5331,5099,4307,3700,3149,2935,2876,3157,3504,4336,4927,4855,4000,3548,3259,2835,2949,3175,3499,4296,4870,4946,4036,3683,3208,3486,2846,3006,3370,4044,4503,4382,3731,3343,3068,2728,2820,2952,3396,4040,4605,4411,3889,3230,3044,2765,2715,2922,3347,3928,4580,4387,3578,3207,2771,2486,2430,2662,2962,3661,4344,3756,3467,2455,2104,1701,1282,1143,998,863,768,691,608,556,501,464,441,411,337,322,331,307,251,255,220,233,188,171,164,142,135,121,91,112,91,81,83]
[190,187,189,246,269,264,316,402,367,416,465,547,582,594,660,796,935,967,1126,1295,1468,1780,2197,2580,2856,2706,2475,2374,2163,2137,2262,2550,2887,3288,3386,3346,3062,2732,2505,2342,2500,2648,3059,3598,4342,3351,3166,2884,2576,2665,2827,3037,3620,4046,4024,3610,3390,2968,2814,2703,2814,3207,3597,3864,3814,3505,3028,2981,2770,2640,2885,3091,3486,3762,3875,3560,3197,3008,2794,2658,2787,3559,3442,3699,3682,3321,3015,2918,2580,2562,2878,2993,3501,3648,3444,3311,2933,2675,2619,2547,2687,2951,3331,3516,3610,3193,2844,2592,2239,2287,2317,2617,2967,3386,3055,2461,2147,2053,1657,1580,1098,964,843,758,676,575,591,515,471,433,415,368,325,315,297,264,244,240,189,197,158,157,142,143,130,114,100,71,84,74]
[187,184,231,238,281,287,309,292,410,417,565,521,570,657,728,826,893,1026,1069,1234,1327,1519,1938,2281,2413,2371,2241,2154,2171,2155,2176,2347,2585,2882,3036,2827,2650,2555,2434,2348,2329,2529,2709,3094,3328,2993,2842,3139,2513,2578,2591,2763,3185,3347,3495,3197,2955,2777,2543,2535,2614,2814,3088,3412,3418,3232,2946,2920,2742,2576,2678,2862,3019,3407,3352,3242,2800,2743,2638,2611,2681,2729,3119,3113,4015,3006,2808,2824,2615,2467,2494,2666,2927,3211,3222,3049,2867,2704,2532,2486,2465,2613,2783,3037,3083,2993,2613,2434,2323,2240,2090,2265,2433,2631,2698,2188,1818,1728,1536,1206,1038,960,956,744,662,594,547,524,440,417,386,367,347,300,302,264,239,201,210,188,180,176,147,138,124,130,89,103,89,67]
[192,216,209,246,257,289,298,337,372,423,425,521,642,607,655,756,895,921,1055,1164,1328,1443,1691,1992,2025,1912,1787,1901,2077,1945,2106,2114,2319,2485,2564,2409,2317,2249,2308,2181,2285,2295,2559,2716,2822,2539,2381,2526,2375,2390,2905,2524,2881,3010,3020,2738,2566,2551,2501,2572,2391,2559,2587,2964,2935,2643,2630,2660,2459,2554,2525,2473,2686,3087,2955,2614,2578,2615,2593,2478,2580,2564,2822,2971,3117,2733,2589,3130,2487,2498,2487,2582,2720,3015,2850,2563,2604,2377,2409,2286,2267,2438,2619,2596,2764,2429,2269,2253,2203,2106,2105,2028,2175,2276,2160,1960,1740,1504,1398,1163,1024,869,817,694,791,623,535,495,499,413,400,353,319,303,261,246,228,214,209,198,157,174,134,125,104,132,102,95,89,72]
[172,202,218,239,264,298,320,361,381,430,466,500,557,570,620,737,1012,943,1059,1185,1326,1541,1750,1838,1930,1840,1731,1827,1983,2061,2169,2227,2293,2491,2359,2259,2203,2198,2259,2287,2287,2368,2621,2748,2741,2517,2346,2321,2356,2405,2399,2610,2650,3459,2867,2631,2386,2511,2488,2493,2453,2492,2804,2869,2767,2608,2531,2425,2503,2477,2541,2674,2789,2983,2802,2619,2461,2411,2537,2651,2589,2741,2880,2952,2865,2622,2420,2489,2442,2590,2997,2687,2884,2952,2785,2631,2408,2452,2416,2350,2403,2365,2593,2696,2697,2339,2263,2234,2156,2158,2067,2211,2220,2308,2071,1753,1644,1504,1288,1141,986,943,794,667,625,618,590,612,472,463,365,386,317,289,265,281,250,223,212,189,177,142,128,135,140,117,120,88,104,90]
[187,208,195,248,273,299,318,323,344,430,419,536,537,589,632,728,791,911,1293,1237,1396,1625,1818,2105,2079,1989,1890,1905,2024,2126,2159,2308,2591,2669,2650,2421,2308,2254,2356,2325,2493,2657,2834,2961,2905,2641,2536,2443,2406,2444,2450,2681,2835,3056,3017,2784,3157,2450,2496,2540,2675,2649,2899,2934,3010,2707,2508,2440,2532,2631,2700,2807,2927,3039,2997,2792,2671,2552,2692,2676,2765,2946,3227,3289,3165,2878,2738,2498,2508,2714,2756,2993,3174,3761,3109,2808,2663,2603,2458,2432,2523,2640,2742,2849,2725,2508,2340,2279,2294,2255,2292,2390,2433,2454,2318,1991,1751,1533,1336,1253,1052,961,818,760,685,631,558,517,437,412,448,353,349,310,301,267,243,230,222,169,165,169,153,150,131,139,100,103,73,91]
[203,192,215,221,258,299,303,306,367,406,424,523,537,551,610,749,826,915,1099,1303,1514,1940,2763,2400,2356,2171,1951,1865,1999,2232,2315,2706,2949,2987,2822,2640,2445,2363,2313,2388,2612,2943,3322,3334,3154,2984,2676,2550,2513,2539,2761,2936,3250,3390,3208,3026,2721,2566,2477,3128,2829,3040,3416,3328,3214,2782,2559,2519,2563,2732,2935,3202,3483,3497,3230,3015,2675,2594,2717,2761,3069,3391,3614,3776,3456,3142,2852,2640,2594,2751,2932,3328,3611,3615,3491,3114,3334,2706,2565,2618,2651,3013,3179,3265,3122,2705,2476,2282,2306,2356,2469,2896,3042,3010,2589,2283,1897,1599,1432,1223,1024,952,825,728,702,618,516,476,471,419,362,360,346,290,334,259,229,190,208,188,178,184,137,130,118,115,114,86,101,94]
[214,219,250,241,271,280,311,353,366,415,425,495,538,603,707,742,871,1007,1238,1419,1742,2226,2599,2891,3411,2453,2220,2146,2102,2338,2589,3066,3538,3721,3367,3022,2581,2507,2333,2714,2888,3389,3832,4178,3765,3322,3013,2796,2634,2690,2979,3284,3542,3900,3777,3182,3040,2717,2608,2723,2819,3164,4358,3822,3531,3034,2824,2714,2719,2809,3145,3486,3840,4037,3658,3281,3023,2848,2864,2996,3278,3641,4240,4530,3973,3587,3084,2763,2741,3016,3284,3604,3998,4435,4361,3582,3159,2836,2769,3453,3041,3234,3714,3980,3820,3061,2825,2487,2386,2705,2860,3324,3626,3864,3199,2646,2267,1822,1546,1284,1111,939,735,726,679,565,529,451,470,416,415,364,334,309,242,267,265,213,189,179,162,157,180,149,111,105,97,92,74,93]
[172,198,238,229,247,281,308,341,341,406,457,456,554,582,624,703,801,921,1106,1495,1974,2350,3156,4117,4217,3273,2688,2322,2629,2420,2717,3143,3998,4859,4470,3565,2962,2641,2573,2737,2952,3610,4654,5390,5011,4022,3293,2923,2685,2796,3073,3426,4408,5127,4761,3989,3249,2900,2683,2811,2921,3436,4121,4852,4478,4264,3222,2856,2740,3026,3264,3779,4550,5027,4838,3980,3469,3050,2762,3222,3359,3933,5369,6130,5269,4204,3498,3034,2938,3093,3534,3785,4939,5947,5382,4169,3481,3016,2814,2928,3194,3449,5399,4972,4247,3376,2957,2610,2618,2867,2879,3586,4599,4861,3974,2810,2404,2035,1597,1328,1095,957,811,700,672,578,543,464,472,461,398,380,304,285,270,266,233,236,215,156,168,129,163,118,114,97,117,89,92,77]
[179,190,203,264,237,250,291,295,393,390,409,442,504,570,591,681,785,919,1039,1375,1727,2197,3383,4705,4498,3258,2681,2501,2208,2241,2979,3126,4262,5127,4632,3620,2915,2554,2392,2412,2726,3405,4734,5803,5118,3992,3320,2796,2542,2713,3036,3346,4454,5523,5161,4030,3317,2773,2637,2632,2944,3241,3921,4863,4592,3811,3263,2855,3164,2857,3021,3620,4696,5456,4822,3918,3473,3003,2829,2991,3162,4132,5720,6418,5145,4215,3396,2854,2845,3040,3249,3826,5345,6580,5403,4248,3456,2931,2841,2829,3051,3570,4609,5648,4905,4509,2975,2501,2533,2652,2796,3638,4790,5410,4185,3060,2569,1960,1573,1263,1104,893,747,686,591,597,551,462,435,359,385,334,317,284,274,230,256,229,187,176,168,132,150,139,117,111,97,98,83,89]
[181,181,218,226,235,275,299,310,347,339,392,453,533,545,624,672,800,863,1008,1166,1444,1827,2530,3250,3428,2827,2583,2367,2087,2129,2194,2627,3139,3813,4482,3187,2836,2562,2420,2252,2525,2925,3626,4313,4207,3649,3074,2763,2480,2457,2633,3033,3714,4320,4208,3608,3131,2847,2537,2447,2601,2878,3487,3717,3947,3477,3217,2685,2553,2560,2556,3668,3719,4318,4300,3745,3223,2924,2589,2750,2853,3329,3888,4581,4387,3666,3203,2987,2628,2619,2912,3374,4136,4797,4777,3936,3329,2857,2565,2548,2632,2977,3495,4066,4137,3405,2912,2649,2716,2332,2643,2971,3610,4201,3599,2796,2318,1950,1460,1176,1049,893,809,710,609,576,478,438,415,417,351,328,317,276,266,241,241,256,216,198,145,156,145,137,150,145,90,86,105,67]
[185,191,226,226,248,271,277,309,330,385,401,505,480,528,586,655,761,830,1017,1133,1330,1651,2129,2545,2509,2370,2132,2050,1828,1902,2110,2328,2733,2830,3017,2783,3073,2293,2158,2107,2288,2621,2991,3277,3305,2946,2752,2549,2355,2278,2390,2750,2954,3477,3393,3004,2677,2610,2385,2345,2322,2702,2893,3123,3274,2966,2796,2515,2389,2370,2494,2735,3192,3583,4093,3093,2841,2482,2420,2454,2672,3051,3390,3697,3608,3159,2841,2652,2534,2418,2616,3012,3723,3835,3713,3236,2924,2646,2372,2195,2337,2597,2936,3259,3153,2750,2617,2242,2153,2014,2209,2998,3082,3050,2706,2233,2040,1837,1466,1173,966,855,792,573,604,520,518,443,436,383,356,335,304,280,285,228,245,214,204,184,148,158,139,142,108,110,89,105,102,68]
[177,173,227,210,225,258,291,291,299,340,388,440,495,534,537,691,732,843,1013,1058,1190,1327,1757,2057,2319,2041,1903,1813,1931,1886,1869,2004,2108,2405,2631,2414,2175,2130,2094,2486,2166,2197,2587,2781,2860,2686,2356,2428,2374,2165,2192,2280,2574,2876,3027,2604,2406,2309,2373,2221,2226,2359,2721,2881,2872,2696,2522,2323,2341,2163,2307,2381,2723,3038,3136,2787,3098,2482,2371,2364,2277,2559,2909,3138,3065,2730,2596,2443,2360,2245,2376,2499,2939,3174,3171,2847,2660,2574,2357,2251,2206,2325,2491,2748,2756,2482,2263,2181,2004,2073,1948,2099,2316,2555,3003,1976,1739,1566,1360,1120,928,819,666,610,601,499,522,458,417,419,351,320,329,271,258,245,213,206,174,184,157,150,146,122,112,124,87,79,85,88]
[171,177,207,226,222,286,294,285,330,325,375,426,483,492,551,608,662,721,880,1068,1101,1322,1615,1773,1831,1522,1571,1667,1705,1773,1805,1856,2038,2271,2132,2010,1906,1951,1955,1926,1999,1945,2668,2478,2288,2155,2036,2134,2122,2004,2092,2162,2390,2680,2405,2228,2243,2246,2180,2205,2066,2224,2336,2513,2583,2263,2144,2194,2202,2114,2120,2261,2520,2755,2660,2404,2279,2308,2200,2637,2343,2280,2523,2711,2558,2385,2280,2324,2335,2152,2192,2268,2595,2794,2608,2362,2202,2341,2096,1973,2042,2007,2240,2486,2398,2124,2046,2007,1966,1900,1805,1896,1977,2190,2104,1745,1476,1653,1189,970,816,750,641,620,565,505,439,417,368,406,360,313,289,279,259,253,224,209,178,190,163,149,147,126,126,99,88,86,74,76]
[192,163,217,227,233,283,331,334,351,392,442,458,494,539,586,712,743,897,995,1162,1346,1558,1704,1723,1383,1542,1607,1506,1702,1777,1857,2048,2086,2119,1910,1761,1932,1797,1858,1874,1996,2175,2299,2535,1995,1901,1878,2076,1963,1966,2078,2266,2460,2358,2086,2052,2090,1977,2037,2059,2196,2465,2446,2416,2124,1931,2061,2046,2123,2054,2242,2424,2461,2414,2177,2147,2265,1991,2154,2111,2702,2458,2567,2302,2105,2083,2087,2109,2089,2051,2250,2453,2562,2447,2115,2025,2005,1984,1896,1936,2048,2267,2263,2084,1890,1749,1839,1702,1896,1830,1810,2015,2039,1782,1518,1409,1376,1021,1176,812,770,660,592,578,504,435,445,401,361,339,362,328,305,274,235,208,212,201,168,147,151,132,141,125,115,101,74,90,82,66]
[139,168,175,176,224,253,242,291,338,314,342,346,444,471,481,537,641,723,835,1042,1072,1358,1590,1637,1668,1589,1416,1402,1534,1563,1683,1844,2093,2147,2143,1962,1740,1680,1664,1680,1889,2044,2336,2424,2308,2159,2257,1851,1956,1955,2105,2240,2416,2535,2416,2217,1948,2003,1909,2062,2178,2332,2560,2625,2480,2357,2154,2021,1995,2063,2253,2380,2540,2666,2558,2355,2078,2091,1929,2217,2101,2265,2528,3142,2489,2178,2031,2031,2095,1996,2154,2335,2564,2478,2363,2236,1915,1947,1916,1774,1947,2088,2166,2295,2119,1933,1755,1792,1707,1813,1820,1962,2070,2118,1809,1511,1353,1250,1100,934,1028,732,609,600,547,535,501,421,388,351,349,344,297,276,253,252,209,186,172,173,166,131,136,117,111,107,77,83,80,91]
[163,184,193,178,237,212,294,296,320,303,361,443,411,473,541,568,681,732,912,1095,1319,1676,1913,1992,1988,1686,1494,1456,1499,1634,1805,2087,2482,2496,2351,2257,1795,1773,1688,1785,1942,2291,2618,2651,2464,2218,1927,1893,2272,2024,2090,2424,2689,2697,2607,2413,2110,1985,1977,2015,2309,2587,2807,2846,2814,2406,2272,1996,2076,2226,2210,2486,2707,2828,2682,2468,2227,2086,2014,2070,2277,2615,2845,2782,2674,2427,2642,2004,1993,1950,2260,2541,2790,2716,2529,2187,1943,1979,1834,2055,2040,2162,2390,2390,2253,2106,1762,1654,1688,1766,1911,2200,2476,2339,2030,1797,1410,1315,1087,965,853,773,637,708,550,523,472,416,390,363,318,294,306,255,232,231,199,189,214,151,150,143,126,130,106,119,103,106,83,69]
[167,172,185,183,206,230,225,275,290,291,317,372,385,393,580,559,638,752,875,1065,1345,1666,2103,2484,2423,1931,1641,1667,1566,1628,1977,2322,2668,2928,2663,2289,1970,1891,1762,1711,2036,2300,2785,3071,2927,2465,2142,1931,1862,1900,2247,2535,3500,3206,2922,2541,2243,2133,2016,2096,2450,2723,3214,3297,3142,2690,2392,2191,2089,2127,2351,2705,3061,3296,3172,2716,2400,2076,1970,2141,2369,2660,3113,3345,3197,2689,2389,2153,1986,2498,2307,2698,3167,3131,2737,2483,2226,1901,1887,1867,2092,2304,2705,2838,2491,2151,1879,1699,1765,1834,2073,2497,2757,2837,2471,1961,1651,1458,1145,944,825,750,651,631,539,487,606,415,433,353,345,320,279,233,250,219,214,194,168,159,130,146,110,135,117,111,115,74,80,77]
[165,161,162,181,215,194,246,246,270,286,337,361,344,385,450,475,555,813,791,1061,1328,1804,2428,3341,3127,2327,1920,1689,1563,1670,1935,2293,2965,3458,3439,2673,2182,1947,1774,1829,2061,2528,3359,3918,3564,2704,2387,2097,1886,1948,2314,2780,3456,4016,3732,3570,2458,2127,1917,2174,2465,2917,3856,4500,3777,3084,2567,2265,2212,2219,2528,2847,3552,4126,3665,2985,2428,2174,2088,2086,2346,2942,3627,4276,3728,2828,2599,2184,1979,2066,2328,2784,4185,3971,3573,2714,2231,2023,1880,1894,2054,2417,3068,3403,2914,2373,2100,1884,1778,1927,2196,2694,3439,3686,2880,2214,1839,1432,1164,929,829,678,679,562,506,546,426,414,391,454,331,312,280,247,223,196,172,184,163,156,146,134,96,111,117,105,82,79,77,78]
[170,195,151,164,203,207,227,247,251,290,324,328,404,396,460,512,563,625,743,1000,1426,1815,2616,3517,3139,2344,1899,1606,1655,1651,1876,2472,3319,3831,3524,2654,2068,1775,1745,1713,2053,2571,3372,3876,3392,2772,2330,2023,1904,1890,2098,2603,3347,4014,3665,2926,2488,2091,2365,2004,2251,2867,3848,4330,3690,2963,2497,2151,2024,1977,2277,2702,3566,3861,3405,2829,2379,2064,2095,2050,2245,2694,3516,3966,3510,2813,2461,2036,1886,1952,2219,2584,3342,3828,3543,3294,2266,1951,1751,1791,2024,2301,2996,3293,2845,2277,2024,1754,1711,1685,1995,2460,3608,3738,2912,2280,1767,1409,1165,897,807,628,566,579,486,447,422,404,373,363,308,287,318,282,228,229,202,202,156,140,145,119,106,111,92,107,88,76,80,80]
[129,156,182,195,207,184,220,234,274,299,295,331,332,398,418,413,498,558,627,806,991,1303,1787,2818,2397,2003,1646,1512,1378,1424,1525,1868,2364,2773,2714,2264,1879,1720,1556,1578,1679,2066,2522,2908,2918,2416,2058,1787,1780,1681,1728,2147,2461,3017,2950,2424,2023,1911,1782,1685,1797,2702,2943,3171,2979,2515,2076,1887,1753,1763,1881,2115,2598,2915,2844,2526,2036,1890,1828,1714,1840,2150,2543,3032,2834,2394,2058,1796,1750,1599,1665,2053,2353,2749,2882,2421,1949,1729,1888,1579,1607,1844,2124,2383,2260,2009,1692,1623,1482,1458,1610,2086,2502,2675,2361,1913,1550,1268,955,867,679,626,565,505,454,430,393,332,339,313,284,264,222,253,213,239,188,176,145,144,122,120,117,105,101,84,95,95,67,62]
[140,152,157,163,179,194,228,230,261,263,295,298,340,366,404,401,447,492,541,617,723,951,1331,1581,1711,1694,1783,1225,1150,1106,1171,1506,1769,2096,2083,1938,1653,1405,1343,1255,1399,1536,2004,2119,2174,2099,1847,1613,1457,1366,1534,1800,2016,2340,2278,2101,1776,1651,1543,1345,1547,1799,2156,2432,2930,2121,1909,1649,1553,1494,1578,1835,2081,2317,2273,2133,1890,1584,1541,1379,1537,1837,2199,2376,2199,1972,1674,1549,1454,1283,1448,1673,1971,2077,2111,1944,1748,1481,1331,1305,1251,1879,1795,1893,1896,1574,1430,1316,1255,1215,1358,1709,1871,1805,1704,1627,1235,1130,915,750,682,592,531,463,459,403,399,365,320,324,294,271,251,236,225,174,213,175,182,138,144,131,127,115,109,102,100,96,60,60]
[144,130,160,166,166,192,202,214,240,245,300,312,284,288,352,400,437,435,530,569,683,741,950,1247,1442,1362,1252,1113,1064,1217,1024,1165,1423,1531,1696,1571,1318,1218,1194,1207,1161,1305,1546,1706,1832,1698,1529,1302,1212,1221,1304,1511,1664,1782,1888,1851,1535,1415,1261,1329,1326,1536,1762,1874,2035,1810,1922,1406,1423,1377,1368,1527,1744,1943,1938,1705,1500,1429,1275,1296,1358,1575,1623,1826,1926,1668,1514,1384,1276,1265,1273,1417,1529,1710,1787,1686,1385,1296,1186,1143,1204,1325,1507,1523,1894,1392,1209,1122,1126,1057,1148,1270,1426,1521,1446,1281,1068,911,757,691,579,559,523,455,395,367,381,359,284,281,271,246,243,212,216,181,194,161,149,153,139,132,117,98,95,69,85,68,67,56]
[131,153,169,190,159,154,181,213,211,224,215,273,278,339,327,378,383,445,428,481,541,655,803,1065,1001,1074,980,948,923,951,925,956,1366,1321,1270,1326,1165,1091,1141,1047,1063,1146,1227,1331,1448,1280,1339,1181,1154,1129,1133,1161,1401,1411,1490,1342,1312,1252,1176,1153,1188,1208,1332,1472,1463,1498,1359,1258,1292,1478,1274,1232,1388,1552,1539,1402,1296,1247,1285,1204,1188,1265,1394,1441,1444,1410,1380,1210,1090,1196,1139,1240,1343,1407,1400,1343,1294,1185,1095,1097,1085,1164,1265,1229,1190,1144,1097,1141,1027,1014,1009,1024,1097,1201,1029,990,892,774,702,602,546,502,436,376,402,389,318,315,318,280,251,227,217,215,196,176,160,156,164,144,142,119,104,120,120,100,99,84,59,57]
[143,135,138,143,157,173,188,185,225,241,222,276,275,290,300,326,376,393,415,462,489,536,646,681,787,739,808,811,771,848,858,845,863,977,983,951,1121,909,948,869,922,988,1029,1097,1064,1047,1005,1077,1011,974,1009,1064,1058,1152,1142,1134,1067,1093,1029,1079,1058,1041,1170,1114,1203,1176,1127,1107,1090,1141,1038,1128,1115,1436,1175,1174,1110,1130,1034,1095,1082,1032,1118,1107,1156,1121,1038,1018,1042,979,962,1041,1122,1073,1070,1052,993,1039,963,1024,970,950,999,963,992,1026,951,934,906,919,1071,875,880,851,858,849,743,656,638,540,505,487,452,430,375,348,331,326,283,255,264,231,216,197,183,169,169,183,125,141,140,116,103,111,86,103,76,89,67,53]
[138,137,154,134,163,159,180,168,218,245,214,242,299,308,309,346,351,353,433,471,484,519,583,587,582,639,637,675,718,727,726,710,787,742,742,787,829,796,749,937,900,898,845,843,846,900,893,880,855,902,943,925,954,949,980,970,941,927,977,925,978,1008,1012,1052,989,994,1008,928,1018,979,1020,956,967,1017,1024,975,1212,904,990,999,944,1044,990,1023,934,985,928,956,940,985,947,858,924,969,935,899,879,926,799,838,865,850,938,858,854,805,835,745,820,761,735,726,732,768,846,666,619,619,532,522,503,448,398,390,379,390,343,295,288,265,220,232,205,200,211,181,149,150,151,144,135,121,94,96,96,96,68,62,67,52]
[106,131,148,151,155,174,176,195,180,208,229,219,291,291,285,301,331,344,366,357,407,444,478,507,550,526,562,570,590,655,663,644,644,678,689,724,742,756,712,754,752,779,1004,774,782,792,804,811,736,799,814,842,840,880,823,809,834,832,808,865,864,899,876,930,886,861,895,903,885,900,937,965,859,923,881,939,915,892,910,1119,900,851,912,869,883,895,888,896,818,856,848,869,836,857,840,836,797,792,850,810,808,804,779,804,761,723,764,742,697,698,734,694,618,638,617,617,700,516,526,483,447,433,395,385,365,341,270,262,285,258,272,230,190,182,157,165,167,124,155,120,131,105,102,111,102,92,79,90,76,62]
[126,131,125,130,132,169,173,151,236,201,205,234,252,228,285,314,284,311,314,329,404,385,417,470,470,504,478,547,522,597,606,597,623,615,667,710,665,633,682,642,698,747,693,750,752,871,793,704,745,762,786,775,776,795,804,796,790,853,782,777,868,857,842,827,847,861,828,867,795,802,882,793,841,841,891,844,830,863,799,834,833,855,1045,760,833,832,792,766,820,789,831,758,769,821,797,787,798,758,716,716,745,732,737,724,690,699,699,611,629,671,640,630,627,584,584,563,501,467,469,473,555,446,410,408,347,323,272,287,272,242,212,215,207,187,183,169,160,156,122,128,109,97,110,95,84,82,86,65,88,84]
[112,111,133,141,145,162,148,158,172,182,201,263,215,239,243,250,274,318,326,298,328,388,388,366,418,424,472,472,495,492,575,546,584,612,611,601,587,653,617,614,623,698,687,711,679,715,687,694,825,712,741,723,702,760,752,782,682,704,722,743,732,795,850,826,786,800,765,822,771,745,723,727,829,796,773,803,744,787,750,774,773,756,761,793,767,902,749,721,694,726,728,687,746,745,742,701,721,665,699,684,720,708,697,637,663,689,644,622,649,593,569,562,536,517,554,507,486,443,420,410,405,384,375,374,354,299,303,260,257,230,210,215,194,194,170,160,131,118,123,132,83,111,120,91,103,83,61,81,82,64]
[125,106,119,133,142,130,138,169,162,165,181,197,223,251,277,247,262,265,250,291,313,344,348,397,391,429,438,408,464,484,475,518,540,576,551,530,551,598,525,590,608,593,656,607,637,658,658,634,631,661,651,805,662,708,679,692,709,681,636,655,673,746,719,707,799,704,698,658,699,698,737,765,764,773,724,772,738,719,699,677,709,765,739,703,696,684,712,652,662,758,669,648,666,681,646,709,632,555,664,653,611,678,648,603,658,561,601,583,551,531,541,552,558,481,481,452,425,381,439,390,370,384,327,342,315,299,315,233,251,239,227,199,207,190,177,154,147,110,120,112,116,107,105,98,86,72,83,74,62,66]
[114,131,116,125,119,138,139,145,166,165,175,162,215,229,210,246,262,301,250,282,303,313,327,367,329,418,370,422,427,424,451,452,483,521,485,492,474,498,482,523,552,578,563,592,542,617,573,607,525,617,591,620,628,632,740,612,640,614,600,613,662,644,666,658,674,667,642,637,631,615,698,598,632,682,647,656,687,676,654,651,612,662,676,672,686,634,622,655,607,660,646,694,653,651,614,561,593,593,550,593,583,536,583,600,550,533,553,537,502,467,458,503,464,438,467,410,410,415,343,378,362,346,337,295,284,248,268,238,215,245,180,202,181,195,151,150,127,126,117,125,112,103,90,96,75,81,96,70,77,51]
[103,106,123,101,129,140,114,155,155,169,165,156,179,198,202,223,204,237,245,280,316,287,312,326,307,373,363,352,436,379,385,442,422,489,489,483,438,454,491,465,547,552,523,531,525,549,520,538,560,594,631,542,542,556,601,591,544,720,580,612,589,627,601,657,651,648,603,608,598,560,617,614,646,596,659,602,594,612,576,635,631,591,560,615,657,550,576,567,574,564,578,608,614,600,697,541,558,563,506,509,540,548,562,571,511,534,495,487,467,454,402,428,415,394,416,389,368,353,357,332,341,299,303,261,290,277,243,235,203,205,189,186,215,152,164,133,139,118,117,94,100,92,87,92,87,58,59,63,67,67]
[96,113,123,147,111,134,140,158,150,189,146,147,172,177,196,208,221,214,242,233,261,257,299,307,331,348,277,368,329,357,371,403,393,452,381,439,436,430,456,441,449,491,463,488,468,499,468,492,500,455,519,499,533,535,497,483,532,502,542,554,622,548,544,569,597,535,504,498,542,533,510,533,519,581,541,538,547,495,495,535,503,560,533,584,519,511,505,529,470,507,519,496,529,513,499,488,485,498,572,447,472,509,465,537,457,438,448,422,399,377,348,353,380,396,368,344,321,319,309,312,313,279,255,256,257,220,227,210,207,208,202,207,147,131,147,147,119,132,108,127,94,81,80,101,87,67,71,67,66,49]
[94,117,138,112,111,128,145,137,145,147,180,168,191,173,169,153,194,227,211,224,274,256,269,265,295,335,371,297,329,334,378,329,357,380,402,411,389,380,403,415,414,465,474,462,442,465,440,481,447,485,500,465,503,493,501,505,502,467,498,511,515,502,523,619,487,500,479,513,490,503,495,522,538,526,494,542,477,492,472,519,513,527,519,511,481,515,510,477,456,471,505,503,505,458,456,480,485,460,423,437,403,591,433,402,433,433,421,386,389,340,365,374,371,358,364,303,292,321,292,266,281,294,254,219,257,244,243,230,183,195,195,177,187,165,148,131,114,106,120,111,82,76,75,76,65,73,55,54,64,57]
[107,100,117,98,116,126,137,127,122,119,162,142,174,142,181,145,169,220,226,196,228,213,259,240,258,310,271,259,318,349,288,326,336,324,342,357,389,393,395,375,401,447,433,399,411,413,420,425,419,413,438,425,460,500,454,427,476,423,491,455,456,430,469,449,485,480,546,476,462,494,481,522,472,488,469,494,401,522,433,475,461,484,469,444,434,486,463,413,408,466,439,412,419,434,454,420,398,430,429,405,417,404,427,461,410,391,380,354,336,399,329,322,328,309,355,328,293,275,264,267,264,282,247,236,231,230,241,170,193,213,188,171,165,157,114,135,127,92,105,86,85,105,91,61,68,60,54,82,48,54]
[84,93,109,92,103,95,128,101,119,137,122,142,167,161,147,177,199,175,188,179,195,205,223,268,240,242,241,241,293,274,276,288,360,328,321,327,340,325,342,380,347,388,355,392,365,361,405,389,402,405,401,403,376,380,448,452,426,441,421,429,451,430,391,444,432,436,444,422,411,502,450,422,456,381,438,442,431,452,396,454,431,436,419,444,449,427,417,406,419,397,409,462,413,469,426,405,439,338,378,410,336,401,386,364,381,354,453,334,301,323,289,295,311,306,294,281,286,274,270,258,234,234,204,228,234,253,189,209,201,175,157,168,141,133,144,115,102,138,104,92,103,81,81,70,83,74,55,57,51,48]
[84,99,104,110,106,126,114,104,112,132,127,121,141,149,137,156,163,156,158,185,188,185,220,198,216,201,246,218,233,273,270,266,287,289,308,377,298,323,328,340,298,370,337,355,362,346,362,354,381,386,378,398,410,367,384,397,430,404,368,398,427,406,388,436,395,388,442,396,389,387,438,381,460,392,365,435,402,370,413,431,402,411,398,374,395,369,451,433,388,395,367,378,393,373,388,396,332,333,333,374,362,354,308,356,351,348,329,299,250,360,259,265,250,265,282,248,256,251,242,244,216,213,185,182,179,190,203,150,156,183,163,129,144,104,141,117,123,104,108,83,85,71,68,85,57,75,68,59,56,46]
[94,78,97,106,101,96,117,113,113,127,150,107,154,157,135,134,157,163,177,187,191,206,186,191,204,200,200,238,219,254,214,271,278,264,272,273,287,303,340,310,312,290,322,357,338,342,314,330,342,352,337,320,349,355,366,337,376,371,353,384,357,359,390,370,370,364,388,372,379,378,378,393,373,368,400,433,355,363,353,380,358,333,379,364,336,354,369,329,318,359,325,325,341,310,380,350,360,348,334,348,348,349,325,302,309,277,305,283,246,273,303,271,342,254,278,255,271,227,242,206,213,202,186,195,185,167,158,168,158,143,133,123,121,128,120,114,124,102,94,93,85,87,81,64,63,64,52,56,67,45]
[82,88,92,106,120,112,106,116,113,111,137,144,120,139,136,142,141,148,161,185,177,178,148,192,188,186,202,214,240,214,200,235,239,230,268,287,307,267,252,264,284,369,323,312,275,297,312,306,307,305,343,356,322,343,350,334,360,355,312,347,335,344,389,346,325,333,354,349,308,387,338,348,385,354,365,365,318,355,406,345,345,317,306,346,346,345,334,358,336,390,337,355,355,312,324,322,287,302,314,339,330,334,284,286,283,297,267,276,267,267,245,258,261,231,217,299,236,191,223,218,225,163,164,168,181,162,159,149,138,142,122,132,126,125,107,135,94,101,83,79,88,85,70,68,67,58,66,58,48,43]
[87,68,76,93,94,103,118,107,110,109,104,128,114,130,123,132,122,129,154,176,185,169,174,196,187,175,180,213,199,224,209,228,237,193,259,250,252,258,255,244,266,327,290,304,332,290,271,289,283,289,318,323,321,299,311,298,322,333,315,340,326,292,352,317,328,335,327,319,317,334,320,318,357,329,328,344,315,321,343,323,316,373,313,319,343,305,304,292,293,334,299,308,310,319,285,298,286,318,251,285,234,282,277,251,244,267,271,230,241,251,247,231,226,237,218,203,191,203,218,180,174,172,154,179,179,163,150,170,138,133,126,121,113,113,107,105,86,85,91,71,82,87,59,82,57,70,66,54,50,42]
[75,61,82,60,101,114,88,105,112,127,107,111,109,129,109,140,127,117,155,150,161,144,167,143,168,188,193,165,199,224,188,209,199,226,204,220,233,244,262,239,266,221,245,260,278,234,260,297,279,246,299,316,292,298,286,308,257,276,298,324,303,292,312,314,279,293,302,317,297,308,309,324,314,308,303,308,271,309,301,303,268,334,310,280,354,286,284,277,265,295,268,288,285,270,272,268,248,263,254,281,216,245,299,262,231,226,232,222,213,226,206,221,220,196,205,205,189,187,174,165,181,189,206,135,172,132,123,135,146,132,108,125,138,96,115,96,74,100,103,83,79,64,58,58,52,48,56,59,55,44]
[69,89,93,84,67,93,93,87,103,107,105,101,128,103,139,112,124,119,129,133,139,132,144,148,161,156,166,157,173,197,178,195,201,178,212,208,217,200,245,211,240,222,261,253,240,237,216,269,264,248,314,264,259,253,269,276,277,285,292,272,295,264,307,283,272,247,276,293,269,307,301,265,253,270,262,276,309,262,285,277,257,292,257,289,297,255,248,320,281,269,264,247,237,257,249,238,219,230,256,241,232,219,219,225,212,195,220,208,227,186,196,193,211,195,168,190,177,167,177,164,180,161,160,158,155,139,142,125,130,117,122,103,111,107,115,91,92,87,81,81,74,68,58,65,60,51,59,50,45,44]
[83,73,81,66,86,73,101,95,75,106,110,100,95,108,111,126,107,127,117,115,132,120,129,156,125,167,172,160,172,154,166,188,199,170,193,187,182,208,188,221,209,206,211,207,196,222,233,226,199,228,219,258,305,253,273,236,246,249,228,277,278,264,293,267,227,260,253,222,239,253,280,253,279,262,270,226,235,247,256,261,258,233,257,259,254,256,246,230,235,231,304,231,239,226,237,217,198,245,243,229,219,212,187,209,218,194,190,199,197,182,199,189,159,162,171,156,151,180,150,134,154,150,138,135,127,119,130,146,121,101,99,104,93,97,82,105,68,72,80,69,58,60,59,52,49,58,70,58,45,44]
[80,68,85,76,80,72,108,95,86,97,85,90,114,83,88,105,115,114,124,114,135,136,130,120,145,148,162,150,144,163,188,172,192,158,200,168,196,175,183,198,187,222,185,236,239,190,202,197,194,218,241,213,225,216,239,199,268,222,252,238,226,249,240,227,236,221,253,233,238,209,263,259,249,220,233,235,238,226,219,231,206,226,246,294,227,243,224,208,221,208,247,217,225,284,228,195,186,196,209,195,202,185,196,194,178,190,184,173,156,168,162,165,156,169,178,152,133,149,128,151,139,136,125,127,113,117,116,113,100,118,136,120,101,96,84,80,71,75,76,73,53,69,41,48,53,40,48,47,54,52]
[69,74,64,79,74,85,71,82,102,95,93,92,90,87,94,95,90,89,119,109,104,127,122,116,120,116,132,159,129,130,154,161,151,147,147,191,193,184,179,202,197,173,205,191,184,178,182,188,198,193,191,211,207,204,205,207,200,202,239,173,210,197,209,208,230,222,209,211,226,214,210,263,224,200,213,216,222,259,222,244,203,253,208,204,209,194,197,217,207,223,194,205,205,186,209,180,221,204,192,160,174,205,184,207,169,181,182,154,169,169,153,172,160,140,154,161,151,105,149,122,117,111,113,109,117,103,106,125,101,108,93,109,89,107,85,60,80,85,63,59,68,59,62,52,54,52,55,45,46,48]
[62,59,59,72,83,66,91,80,87,104,87,90,89,97,89,85,112,110,91,108,102,107,132,107,125,122,137,128,152,133,142,140,149,158,153,166,175,168,168,145,167,150,173,165,171,188,197,183,164,190,190,185,202,170,206,187,216,207,214,212,221,267,211,194,207,234,206,200,215,186,208,193,211,199,213,197,217,193,230,214,211,220,210,213,222,203,213,168,184,194,191,204,173,186,175,194,184,169,161,193,183,177,170,152,155,164,159,143,131,148,165,170,140,158,136,140,113,124,133,133,119,122,116,107,112,109,112,91,98,88,92,93,90,98,84,76,105,72,70,50,52,72,44,40,50,31,50,44,39,48]
[73,65,61,64,57,64,91,77,83,84,65,100,80,94,72,86,115,77,110,115,107,121,102,122,109,123,121,134,143,151,137,124,140,154,140,156,127,157,152,157,152,173,154,173,157,162,171,191,211,161,173,192,169,178,160,203,186,202,219,184,200,207,201,187,228,181,177,208,202,206,201,184,201,218,189,195,169,208,197,207,183,192,160,161,178,195,193,165,173,186,186,197,182,165,177,174,192,160,182,148,163,193,171,149,132,133,180,149,130,144,150,148,138,116,141,120,109,114,114,105,108,114,122,92,114,94,93,111,99,101,74,72,71,75,75,71,77,56,51,65,61,57,39,42,53,51,43,42,49,44]

{"sheet":"Figure_1D_layer_18","index":18,"n_rows":150,"n_cols":150,"rows_kept":150}
[30,18,24,20,22,19,21,21,29,21,19,29,29,22,30,34,30,39,30,37,37,36,32,36,37,35,48,51,53,47,31,55,39,52,50,51,52,49,56,56,50,50,56,48,51,51,43,44,40,54,63,54,46,42,67,59,52,49,49,55,55,55,59,53,56,53,53,44,69,52,53,57,56,39,42,51,47,53,62,53,50,56,58,46,65,55,49,51,47,47,56,63,76,56,56,61,59,40,54,42,58,58,46,46,59,62,59,55,54,48,56,47,43,31,47,51,40,35,40,50,35,32,32,29,30,23,25,28,18,26,14,25,13,26,14,23,20,14,18,16,11,26,18,22,17,20,15,16,24,10]
[20,23,34,20,23,24,28,24,27,30,39,27,23,27,36,28,29,26,47,43,49,45,48,37,47,34,51,47,82,70,63,62,60,50,64,53,61,74,74,71,73,55,52,69,54,70,61,64,99,67,68,58,63,59,66,64,66,67,62,67,77,76,61,68,72,65,75,83,56,72,61,68,65,65,87,64,62,86,70,71,61,83,60,60,65,94,85,71,80,73,72,66,65,78,59,78,64,69,59,68,74,46,62,64,57,69,57,54,81,52,54,74,58,60,48,57,52,67,38,45,40,50,53,28,32,33,48,30,26,17,29,22,25,30,20,22,22,18,23,21,18,11,14,16,17,22,20,21,20,18]
[25,26,23,30,17,31,27,19,30,39,29,26,35,45,44,43,46,44,55,41,50,69,69,66,68,64,70,58,71,65,77,71,65,69,78,75,83,84,75,89,69,82,65,71,69,69,77,80,66,78,71,103,82,67,79,76,65,78,83,88,94,83,84,66,88,80,91,71,93,89,76,66,85,62,80,84,80,83,86,73,79,84,105,108,71,90,82,92,107,89,72,69,78,86,82,85,85,87,69,74,73,72,74,86,71,70,59,85,66,71,70,74,62,52,37,53,60,61,49,47,44,45,30,50,33,41,25,35,36,18,28,32,28,23,18,22,13,18,16,20,23,18,17,18,20,13,16,14,24,18]
[17,18,20,37,26,19,28,35,28,29,34,30,36,29,40,51,51,52,52,63,65,53,66,72,67,80,56,75,73,83,89,79,92,78,80,89,91,86,78,84,87,91,87,91,87,89,84,90,83,84,90,89,78,81,111,70,96,96,111,96,92,95,97,94,89,86,105,100,89,89,100,101,98,81,95,98,94,108,89,91,90,92,91,83,107,87,96,82,103,84,97,104,104,94,108,93,97,87,106,74,93,100,82,79,90,96,75,100,91,90,63,77,75,71,90,70,62,54,64,65,59,49,41,32,36,47,35,55,45,29,30,23,24,21,35,19,32,28,25,23,19,19,16,14,20,24,19,11,23,15]
[19,36,31,29,22,26,27,21,22,30,40,34,40,31,47,44,50,66,59,77,66,63,68,63,68,66,86,81,88,90,87,89,81,83,96,83,97,99,107,112,104,76,107,109,102,106,121,116,87,109,97,108,101,101,110,97,120,152,100,118,94,121,107,107,103,115,127,128,100,110,109,102,119,115,118,110,125,125,104,127,127,123,96,113,113,113,111,119,111,116,115,97,105,94,117,128,110,106,105,100,87,96,89,87,96,103,95,101,106,102,99,99,87,77,72,75,75,71,65,74,57,52,52,50,50,45,39,49,40,28,40,30,24,21,33,24,23,24,25,22,13,15,24,15,22,21,16,28,21,20]
[26,23,33,37,32,31,40,28,40,45,28,40,45,44,54,48,60,65,73,72,68,94,109,83,97,90,105,106,106,108,100,113,122,112,113,117,123,127,116,113,125,113,107,115,108,99,113,143,119,125,137,140,126,134,121,138,128,118,123,153,115,118,136,124,132,125,125,137,160,112,135,120,125,145,135,140,128,116,120,135,117,108,133,104,132,135,123,132,125,131,132,126,139,122,136,119,144,118,129,127,103,103,118,116,105,114,107,98,126,110,108,95,76,97,71,88,79,59,68,70,71,63,63,61,47,46,53,47,36,43,41,29,30,26,27,29,24,22,14,16,26,20,16,19,19,25,18,17,14,20]
[29,38,37,28,25,36,40,39,42,56,40,53,49,76,42,48,71,86,82,85,79,92,75,106,111,93,104,106,100,117,118,128,121,110,133,122,113,125,140,132,154,156,146,113,126,156,142,150,117,151,147,141,128,150,148,143,145,134,152,132,163,189,122,146,173,155,141,126,173,166,155,149,136,137,149,144,155,180,157,149,143,163,155,152,161,139,144,154,139,142,151,151,141,120,150,139,151,132,170,159,143,129,129,125,111,126,132,134,116,128,114,104,96,89,83,74,80,79,80,88,75,69,71,59,45,59,49,39,38,41,20,33,31,23,22,25,21,20,21,22,20,21,13,28,24,21,17,20,21,15]
[37,20,29,24,28,27,38,52,50,45,44,63,55,61,65,74,95,92,93,98,118,93,104,118,110,129,129,168,121,140,134,147,154,148,145,160,163,175,162,164,151,158,148,152,138,156,164,169,159,148,165,156,174,156,168,170,203,180,174,168,191,171,171,160,201,195,149,155,174,180,179,198,177,186,188,177,154,174,149,163,181,195,184,168,172,165,150,165,166,175,177,159,176,153,162,169,170,152,165,181,148,184,135,158,157,147,131,128,139,149,119,136,108,131,119,100,104,97,99,96,97,86,72,67,59,67,67,56,37,43,35,27,35,36,18,20,31,19,22,23,23,19,27,20,15,20,20,17,22,18]
[22,34,43,32,33,42,39,56,57,56,63,57,67,86,80,90,80,92,115,112,111,111,125,125,148,141,150,155,145,161,190,148,159,172,173,187,178,163,173,175,148,215,188,187,205,195,189,183,179,190,200,171,194,162,180,171,192,196,172,195,190,197,184,192,201,190,207,257,179,210,184,189,195,217,198,179,213,211,209,190,180,213,188,209,209,204,203,165,183,179,180,180,191,171,186,211,188,186,171,201,163,170,181,177,194,174,169,159,140,163,127,134,134,133,136,127,113,115,105,82,86,93,63,73,77,65,53,64,61,45,34,34,34,31,38,27,26,30,24,22,20,21,31,23,21,21,18,23,17,14]
[37,45,36,36,39,36,51,37,43,54,67,56,82,88,100,96,107,108,123,126,139,160,143,149,166,155,157,166,162,178,184,200,215,216,204,203,238,218,219,217,203,194,194,195,217,211,209,217,206,230,193,197,193,217,221,193,232,209,209,215,220,205,218,230,234,241,200,225,240,231,292,224,207,225,244,218,203,212,192,217,209,207,196,231,202,226,206,210,229,237,230,217,218,218,234,217,221,211,189,220,189,205,190,175,179,191,183,206,176,159,174,149,164,169,165,146,117,111,137,102,93,92,82,75,70,75,73,72,50,48,43,32,38,27,36,26,27,20,12,19,20,29,17,22,22,24,17,24,21,9]
[39,42,31,46,45,46,59,64,52,74,86,76,79,103,102,133,129,148,148,125,167,167,170,173,172,183,201,187,199,219,239,200,199,230,228,270,244,250,270,249,218,226,209,237,246,265,238,232,260,279,248,246,224,256,292,286,250,289,240,261,256,252,223,238,289,250,273,255,297,257,263,272,263,280,244,279,251,227,246,250,256,258,255,269,278,229,258,253,227,239,236,229,241,256,240,256,276,237,239,217,218,239,215,225,214,235,237,199,203,197,209,168,168,173,173,160,144,145,128,141,139,81,92,94,80,69,82,72,71,50,50,39,33,40,42,26,25,25,20,18,20,30,16,29,21,16,20,20,17,12]
[44,45,42,33,51,62,63,73,60,90,62,95,103,105,130,128,138,114,174,171,155,166,195,193,189,193,224,232,222,247,225,226,269,240,261,289,257,236,285,280,242,256,267,298,282,279,254,293,282,297,281,252,257,254,282,280,263,302,283,295,304,294,269,237,309,286,281,287,272,307,294,271,277,314,290,313,288,301,275,284,294,264,259,267,276,281,293,317,265,278,286,278,231,298,262,277,284,267,284,272,276,267,257,254,236,248,216,239,208,235,232,185,196,252,178,160,166,155,150,143,141,113,96,77,80,96,104,68,64,56,35,46,44,27,31,29,33,24,26,25,30,26,23,25,23,20,15,23,24,20]
[43,45,46,58,67,58,62,81,75,63,107,98,91,113,112,127,151,169,153,179,200,210,200,224,221,207,235,211,275,271,284,262,264,281,302,318,292,325,279,296,319,346,307,274,304,309,301,313,335,315,325,310,324,295,325,283,325,311,352,324,328,283,325,328,306,291,280,332,322,362,305,319,323,311,340,345,303,328,398,324,332,284,289,326,311,358,319,316,342,337,320,329,328,323,282,348,331,301,326,275,266,274,273,292,275,309,270,260,245,238,235,189,212,213,207,202,214,185,181,166,140,115,101,116,115,78,93,79,56,63,59,47,46,38,33,32,37,34,30,30,28,22,21,18,20,28,17,15,27,22]
[45,36,40,52,68,70,78,77,84,124,100,113,114,106,151,163,191,162,165,207,227,223,233,235,270,262,270,282,294,279,290,292,330,314,336,363,312,342,336,346,368,336,339,358,440,392,360,387,406,387,368,368,370,367,428,357,399,374,354,358,361,367,416,391,421,412,393,349,384,369,376,365,368,400,398,415,417,378,372,387,362,406,375,384,361,401,372,380,349,375,358,328,337,367,376,404,351,329,322,318,370,319,351,357,354,348,310,277,291,294,286,243,263,265,252,222,267,202,240,181,157,160,142,135,130,111,85,74,74,64,50,68,34,45,40,36,36,28,30,24,20,30,13,25,26,27,24,26,17,19]
[39,45,65,53,71,85,60,90,89,146,119,147,162,152,167,169,183,194,228,215,231,245,292,277,285,301,317,314,319,353,330,298,338,334,359,376,382,364,386,336,377,392,403,365,405,377,394,484,379,336,387,420,369,386,418,438,379,396,381,384,387,382,409,402,408,432,428,412,423,402,405,412,403,400,409,428,431,399,406,412,418,361,434,429,495,424,391,387,398,424,421,403,414,388,374,386,407,385,325,387,393,345,372,311,423,365,340,325,304,298,311,271,272,291,264,272,229,198,214,169,136,198,148,118,126,123,105,90,78,85,69,50,38,48,42,37,50,30,34,36,28,25,21,19,18,19,25,10,23,13]
[46,42,55,58,73,83,77,99,98,116,121,135,223,159,185,199,194,211,233,219,198,269,312,318,305,329,358,371,328,388,337,394,402,403,428,376,410,370,385,375,388,443,437,430,477,421,405,396,441,426,505,440,429,439,453,467,442,440,425,407,472,427,474,466,464,490,436,463,452,411,471,440,430,468,445,472,484,481,449,434,448,478,466,471,463,462,481,553,417,412,458,395,433,457,433,467,454,428,440,375,425,376,417,401,399,409,409,348,353,332,327,291,326,294,305,245,239,246,211,212,202,173,173,151,182,121,119,98,102,77,75,66,40,45,36,34,27,27,34,24,32,26,28,27,19,27,19,22,17,24]
[52,56,69,67,62,70,89,101,106,136,133,172,169,196,190,283,256,249,276,309,313,312,330,353,360,354,381,392,374,389,422,420,470,435,432,428,500,451,429,424,526,466,461,460,492,501,517,490,485,493,465,504,512,599,488,487,492,505,495,452,518,502,525,594,507,540,510,524,491,492,491,526,552,575,507,516,552,502,482,507,511,518,513,547,529,551,513,460,504,455,584,462,467,490,517,444,472,466,450,451,441,418,485,387,408,424,430,409,354,348,356,345,324,335,350,301,267,253,223,217,197,210,176,160,134,154,119,130,78,71,72,81,61,52,29,50,28,44,36,25,34,24,25,31,20,31,18,22,24,26]
[40,58,63,65,86,80,102,102,124,129,137,163,173,183,196,237,294,267,327,266,318,328,390,338,384,403,364,417,410,394,476,467,499,457,455,505,436,458,431,483,477,478,503,501,520,518,530,494,522,518,518,565,515,556,517,516,644,535,524,581,554,552,505,509,533,553,591,532,523,538,547,511,544,556,555,576,585,550,557,560,538,561,548,598,561,595,542,512,568,545,518,517,563,644,595,511,521,510,538,551,506,484,477,486,467,491,439,418,432,384,403,376,325,324,336,321,299,252,244,238,228,189,171,138,160,123,115,107,80,82,93,67,61,61,52,56,45,46,27,31,34,25,37,23,26,23,20,25,20,21]
[53,56,64,74,91,106,101,124,143,137,183,162,220,216,233,247,284,297,309,321,368,440,436,430,458,468,416,445,477,466,505,546,509,482,549,533,515,491,542,511,513,548,599,563,562,584,584,566,539,574,602,614,584,610,595,574,626,582,709,558,613,629,602,605,579,616,563,598,569,623,617,594,625,632,604,610,606,586,615,598,565,572,607,567,645,584,575,594,557,599,589,575,636,597,557,591,673,552,567,536,544,536,575,559,577,531,492,465,503,467,475,417,402,384,340,339,316,300,269,255,237,225,207,180,159,130,135,128,126,113,83,74,58,67,60,49,38,40,31,29,45,34,32,29,26,29,32,28,17,18]
[55,64,60,74,112,103,113,124,124,148,152,197,252,262,250,295,323,327,372,366,403,418,444,449,553,497,478,530,492,491,581,521,559,587,529,568,559,553,594,600,612,621,596,653,637,687,649,637,623,608,622,648,606,695,664,640,640,661,649,674,676,776,701,701,653,662,625,655,702,618,637,720,648,675,610,738,658,679,657,734,678,654,756,708,659,660,610,659,673,631,626,657,637,636,674,603,612,602,593,718,620,568,642,594,579,565,561,524,478,492,473,481,496,439,366,389,334,334,309,283,268,267,200,207,179,170,134,124,122,108,93,72,83,72,68,51,65,39,51,40,31,43,35,43,29,25,18,18,26,23]
[60,70,75,81,98,110,117,144,152,166,191,203,243,258,295,301,316,345,357,409,423,464,464,486,519,532,562,607,528,591,568,572,664,616,680,647,649,677,671,712,661,656,662,679,710,667,703,644,667,791,719,708,734,734,700,756,752,677,717,737,706,754,699,738,847,724,727,719,700,726,762,731,776,722,788,784,743,730,729,717,714,738,756,790,742,695,709,731,704,690,699,714,729,730,700,683,691,691,699,680,642,704,770,666,652,599,581,571,581,624,558,524,489,463,473,430,389,370,358,290,317,291,255,214,192,206,187,130,124,99,84,92,71,89,72,61,55,63,43,50,38,44,31,42,26,36,27,23,22,20]
[96,82,107,95,109,127,149,163,199,185,255,233,275,324,331,388,414,408,450,491,501,534,574,549,570,598,607,748,653,662,637,724,688,689,710,717,696,728,683,707,721,751,696,786,758,792,726,775,728,770,810,781,782,760,750,759,734,746,710,742,750,798,846,775,988,781,787,773,825,840,806,821,892,826,818,815,795,773,789,800,831,798,857,834,750,792,780,743,791,758,730,782,814,755,726,731,715,696,686,745,700,831,694,698,680,656,640,631,587,588,618,520,522,494,453,425,345,366,298,337,293,226,193,178,173,170,140,139,121,102,84,80,90,65,63,50,46,42,49,71,43,35,35,32,35,43,21,30,21,19]
[71,88,78,114,120,119,127,133,170,176,244,226,254,303,315,336,387,441,445,498,543,600,584,590,621,668,670,673,669,682,870,790,764,729,684,738,750,836,819,797,762,799,870,823,836,867,868,778,833,851,869,887,875,851,892,900,873,829,859,854,843,883,855,926,951,916,934,1064,833,897,899,955,986,956,960,923,948,905,887,901,891,926,891,921,911,863,843,905,848,880,870,908,870,856,855,831,892,811,792,801,764,821,757,774,955,768,766,711,708,688,677,610,570,559,551,518,461,398,423,391,358,288,264,220,230,209,213,162,172,132,114,102,77,86,74,68,68,60,54,50,48,43,48,37,28,35,34,25,28,27]
[82,100,93,107,91,111,141,156,200,197,228,225,275,312,332,367,426,466,467,529,528,596,619,616,664,715,737,681,700,734,747,810,966,816,806,820,834,761,769,860,898,934,865,930,926,899,984,932,850,920,963,972,956,958,893,960,986,901,995,880,997,1013,960,950,923,948,950,968,987,933,1125,1015,1005,1010,1021,1008,977,929,1000,965,1000,1012,999,979,954,1019,922,919,880,913,970,918,933,927,940,894,942,906,804,890,891,916,851,845,869,837,756,959,801,685,707,699,695,607,599,530,489,450,402,436,357,292,247,247,227,227,212,175,144,139,144,114,85,91,82,72,56,41,49,59,40,48,48,34,35,45,32,31,32,34]
[72,86,106,107,122,135,143,173,204,229,252,267,330,309,357,438,497,505,545,602,646,690,676,719,780,788,780,814,765,817,851,859,871,849,892,1154,896,932,922,942,967,1002,970,1022,993,1036,1000,952,908,964,1087,1041,1039,992,1001,1116,1018,1071,1029,1123,984,1085,1045,1039,1061,1043,992,1034,1103,1033,1103,1112,1148,1343,1111,1169,1067,1054,1005,1128,1043,1084,1067,1143,1065,1049,1001,1039,1014,1005,1068,1031,1036,1085,1053,1036,1010,1017,954,922,957,944,987,960,932,931,909,875,867,816,942,792,771,689,612,603,530,463,462,380,356,315,311,305,268,231,194,193,150,129,141,106,103,83,106,75,79,71,59,73,54,55,43,39,40,40,29,38,25,22]
[75,111,109,84,111,145,187,163,187,203,242,297,270,343,396,426,503,505,588,640,722,723,805,783,860,834,802,866,910,883,992,1002,972,962,984,997,968,1044,1148,1080,1025,1115,1132,1119,1114,1111,1091,1096,1084,1073,1064,1178,1211,1147,1164,1115,1112,1119,1200,1152,1189,1199,1139,1140,1164,1167,1178,1110,1195,1151,1181,1278,1295,1277,1268,1180,1415,1141,1158,1229,1214,1276,1308,1266,1274,1186,1208,1104,1161,1126,1175,1183,1200,1169,1175,1152,1159,1105,1138,1070,1131,1110,1083,1045,1097,988,1009,968,910,906,896,828,878,958,722,650,611,539,461,413,373,337,343,302,280,230,200,235,186,167,180,118,126,132,78,87,82,71,72,52,62,59,47,42,41,31,36,42,27,24]
[89,88,89,127,168,141,167,206,228,250,247,329,322,383,407,481,541,580,648,764,784,894,952,963,940,896,993,1016,968,1041,1039,1091,1140,1112,1153,1137,1024,1075,1054,1160,1235,1492,1270,1346,1222,1291,1104,1263,1193,1199,1277,1364,1356,1396,1268,1298,1230,1183,1229,1200,1287,1361,1380,1284,1326,1233,1212,1240,1229,1303,1294,1415,1423,1493,1372,1342,1237,1332,1508,1284,1319,1445,1412,1379,1329,1259,1262,1249,1248,1287,1324,1334,1324,1327,1235,1233,1193,1165,1127,1121,1226,1201,1173,1144,1165,1112,1088,1065,974,1047,1031,1071,942,970,839,731,774,549,546,445,415,371,316,261,275,261,209,218,203,188,159,146,128,117,113,110,82,70,60,60,48,72,54,45,52,34,28,39,23,26]
[85,85,104,105,123,129,168,214,233,247,276,330,332,400,431,470,574,635,718,773,816,1011,1076,1045,1042,1042,987,1056,1021,1083,1086,1188,1213,1200,1189,1096,1118,1133,1098,1153,1296,1347,1459,1350,1644,1229,1248,1238,1248,1363,1374,1381,1447,1481,1360,1276,1245,1254,1272,1332,1404,1472,1508,1436,1350,1297,1277,1296,1351,1387,1436,1524,1662,1599,1549,1373,1382,1343,1426,1458,1475,1947,1680,1607,1629,1521,1357,1403,1350,1415,1461,1647,1650,1513,1476,1438,1305,1313,1281,1251,1368,1394,1344,1313,1192,1195,1193,1117,1162,1125,1183,1213,1115,1112,997,768,713,658,560,602,393,390,354,340,325,284,252,245,219,172,181,151,130,100,127,99,98,98,87,76,56,58,54,56,47,38,41,31,33,33]
[71,97,106,114,123,167,176,190,187,335,280,345,378,381,465,510,560,642,743,849,972,1070,1214,1263,1188,1180,1189,1120,1135,1144,1182,1287,1274,1324,1323,1243,1137,1224,1235,1280,1399,1597,1611,1581,1487,1373,1357,1614,1290,1331,1441,1558,1613,1596,1521,1407,1388,1319,1426,1438,1507,1618,1790,1600,1589,1505,1336,1405,1452,1443,1480,1663,1719,1655,1530,1557,1458,1418,1456,1657,1695,1863,2004,1905,2078,1665,1555,1541,1609,1605,1697,1857,1885,1789,1752,1549,1517,1458,1472,1406,1467,1577,1630,1479,1436,1307,1239,1233,1288,1291,1393,1553,1564,1365,1142,1015,914,775,679,582,529,571,391,309,351,314,290,225,210,199,174,151,118,141,107,88,100,82,71,83,75,54,53,50,61,47,34,41,34,36]
[110,106,133,130,151,166,168,203,207,254,263,349,439,395,456,560,595,686,831,921,1202,1317,1505,1495,1554,1464,1294,1252,1233,1298,1289,1485,1499,1428,1452,1313,1222,1327,1344,1404,1629,1814,1890,1831,1769,1597,1467,1412,1445,1462,1951,1843,1917,1893,1733,1530,1396,1383,1477,1533,1651,1898,2007,1864,1752,1624,1539,1475,1540,1636,1656,1899,1938,1898,1755,1581,1476,1445,1590,1755,1961,2175,2270,2223,2126,1870,1614,1978,1745,1749,1950,2262,2136,2097,2009,1822,1638,1594,1522,1555,1688,1860,1817,1676,1633,1362,1298,1305,1337,1445,1683,1936,1950,1664,1371,1199,981,851,711,621,539,504,420,398,429,315,295,248,216,200,173,159,140,131,119,102,102,103,79,84,62,58,56,53,49,38,46,42,37,31]
[83,109,125,142,143,190,205,216,223,249,298,391,405,471,483,649,631,681,856,1068,1345,1630,1943,2010,2134,1723,1473,1360,1370,1387,1544,1779,1885,1958,1646,1442,1409,1356,1448,1511,1886,2274,2453,2379,2157,1797,1618,1561,1571,1627,1789,2098,2366,2846,2090,1746,1497,1519,1580,1688,1896,2381,2391,2345,2146,1873,1702,1670,1628,1684,1885,2264,2395,2346,2024,1780,1647,1644,1724,1947,2165,2618,2850,2861,2446,2278,2029,1983,1858,1998,2654,2588,2806,2683,2423,2107,1911,1798,1760,1807,2081,2252,2301,2231,1920,1637,1470,1463,1471,1652,2047,2512,2527,2196,1702,1396,1187,982,761,641,548,465,441,371,359,302,292,319,224,218,201,152,103,127,111,98,91,92,75,86,60,52,68,55,51,52,48,50,43,37]
[114,114,131,136,175,161,204,217,228,299,315,369,376,436,532,541,654,770,1042,1081,1348,1777,2146,2524,2467,1953,1730,1471,1365,1493,1677,1958,2185,2210,1865,1580,1344,1308,1433,1565,1976,2512,2694,2829,2543,2192,1805,1598,1653,1630,1913,2351,2772,3000,2698,2405,1682,1562,1667,1776,2088,2587,2894,3000,2603,2153,1731,1799,1782,1823,2022,2477,2720,2779,2514,2022,1691,1702,1890,2081,2396,3045,3618,3532,3078,2663,2208,2084,2049,2131,2327,2879,3426,4099,3038,2448,2112,1925,1851,1899,2151,2486,2750,2518,2248,1793,1562,1534,1536,1705,2150,2778,3132,2967,2225,1670,1256,1114,838,743,545,570,464,405,347,351,297,269,268,216,259,195,151,154,137,125,84,115,100,75,74,61,53,51,49,49,44,52,45,30]
[111,124,154,134,162,189,219,227,269,316,336,373,412,478,486,662,680,785,931,1050,1270,2080,2193,2568,2366,2037,1676,1490,1446,1538,1705,2056,2261,2208,1955,1623,1463,1518,1547,1658,2029,2488,2899,2904,2562,2074,1864,1667,1672,1683,2104,2497,2762,2985,2640,1991,1712,1689,1928,1842,2075,2644,2923,2995,2646,2219,1889,1808,1713,1828,2073,2495,2780,2898,2428,2099,1811,1774,1801,2138,2505,3091,3886,3812,3247,2772,2364,2152,2054,2077,2530,2785,3563,3711,3165,2649,2649,2064,1887,1857,2259,2573,2795,2742,2273,1860,1659,1552,1587,1653,2249,2704,3120,2855,2309,1841,1355,1126,894,679,595,548,459,397,377,368,297,261,216,212,191,197,127,148,117,125,93,103,106,83,57,65,55,56,60,44,40,41,38,44]
[112,116,159,158,183,168,191,264,249,303,341,379,410,503,541,629,706,809,912,984,1267,1524,1803,1992,2578,1776,1608,1539,1434,1423,1644,1857,1987,1907,1782,1559,1511,1441,1507,1644,1854,2084,2348,2496,2321,2058,1788,1678,1695,1646,1980,2183,2425,2522,2334,1913,1819,1570,1649,1747,1936,2695,2483,2500,2398,2036,1865,1760,1716,1872,1965,2168,2377,2514,2377,2049,1800,1682,1835,1935,2259,2674,2924,3085,2886,2621,2363,2029,2000,1988,2168,2400,2848,2981,2773,2442,2302,1935,1800,2185,2022,2214,2425,2511,2160,1821,1632,1497,1520,1624,1839,2232,2452,2314,1956,1598,1380,1106,880,722,615,571,474,396,367,354,333,257,253,221,207,187,185,154,139,126,132,98,100,112,78,75,72,66,50,46,51,45,50,35]
[106,122,163,174,189,168,263,245,267,318,335,392,462,510,580,608,651,797,955,989,1061,1239,1584,1726,1794,1573,1530,1787,1427,1428,1507,1665,1724,1709,1596,1534,1404,1442,1432,1486,1704,1891,2035,2213,2162,1910,1787,1681,1597,1725,1726,1963,2095,2186,2077,1863,1766,1683,1718,1767,1858,2006,2183,2264,2554,1928,1853,1829,1804,1804,2001,2012,2272,2143,2165,1993,1783,1714,1795,1980,1973,2391,2614,2803,2559,2303,2117,1944,1873,1915,1953,2285,2440,2534,2448,2191,2048,1842,1702,1751,1880,2471,2091,2162,1961,1689,1671,1464,1489,1474,1537,1787,1899,1950,1718,1409,1280,1151,897,745,671,576,493,417,377,355,332,315,263,251,206,200,190,161,148,133,140,107,110,115,89,87,77,60,73,43,50,36,39,32]
[103,148,160,157,185,209,219,277,284,369,330,425,443,527,592,631,707,827,927,1002,1143,1352,1506,1581,1724,1485,1466,1529,1420,1481,1865,1705,1674,1706,1665,1589,1515,1563,1523,1599,1630,1802,1910,2098,1939,1947,1844,1725,1704,1683,1758,1966,2260,1931,1960,1855,1786,1731,1797,1784,1960,2000,2107,2037,2068,1989,1945,2248,1761,1879,2067,2154,2223,2150,2057,2022,1893,1865,1885,1879,1927,2269,2420,2600,2352,2151,2164,2074,1958,1941,1998,2105,2336,2493,2303,2071,2173,2062,1800,1886,1873,1937,1899,1921,2240,1751,1629,1489,1500,1409,1518,1607,1708,1696,1436,1317,1251,1001,844,764,695,561,504,418,451,398,316,317,272,252,224,192,162,161,149,128,129,114,102,98,80,74,62,55,63,41,41,34,40,40]
[143,128,176,169,196,192,232,269,304,306,366,366,479,559,595,678,729,832,934,1077,1231,1303,1488,1499,1582,1506,1446,1522,1501,1492,1564,1681,1831,2238,1799,1698,1621,1617,1651,1646,1696,1812,1950,2006,2015,1850,1795,1790,1726,1794,1835,1928,2171,2085,1995,1847,1909,1798,1830,1773,1890,1980,2048,2112,2123,1985,1924,1821,1932,2010,2444,2122,2294,2253,2055,2018,1940,1890,1915,1960,2009,2178,2294,2484,2170,1993,2080,2056,1956,1945,1974,2023,2235,2370,2177,2000,1923,1989,1817,1767,1913,1899,1995,2048,1940,1783,1648,1899,1542,1482,1566,1594,1604,1629,1383,1246,1104,1053,854,742,636,585,493,499,451,389,364,281,293,256,215,215,193,172,152,129,138,133,131,79,98,82,69,81,69,77,57,56,41,28]
[142,168,173,200,210,232,294,331,330,396,413,521,559,613,715,813,885,1058,1375,1266,1422,1539,1577,1496,1522,1582,1620,1569,1627,1775,1930,1889,1918,2128,1735,1665,1696,1769,1828,1829,1998,2007,2062,1937,1776,1870,1786,1826,2003,1991,2077,2251,2216,2068,1942,1914,2025,1932,2221,2131,2131,2196,2139,2014,2027,2004,1985,2107,2115,2251,2312,2662,2309,2186,2124,2014,2036,2055,2084,2225,2405,2478,2347,2155,2041,2165,2043,1944,2095,2066,2148,2197,2173,1980,1926,1859,1877,1896,1868,1896,2036,2066,1907,1869,1834,1848,1580,1654,1758,1576,1580,1836,1486,1363,1171,1076,968,865,761,658,592,548,469,444,366,360,312,269,255,244,215,210,165,168,145,152,114,115,90,107,83,81,67,67,70,59,54,46,32,33]
[134,130,181,190,231,217,244,300,304,366,388,483,501,571,612,675,773,963,1164,1216,1379,1549,1726,1775,1780,1689,1627,1733,1777,1714,1961,2062,2102,2173,2042,1893,2214,1797,1879,1857,2039,2142,2316,2225,2063,2063,1932,1953,1985,2026,2083,2255,2454,2502,2369,2142,2146,2070,2067,2112,2207,2234,2443,2384,2288,2107,2106,2021,2073,2106,2322,2478,2601,3140,2421,2324,2134,2200,2191,2171,2401,2631,2733,2609,2411,2296,2082,2221,2110,2176,2288,2312,2369,2461,2231,2002,1975,1920,2023,1957,2085,2174,2226,2153,1926,1879,1768,1807,1716,1711,1746,2310,1888,1800,1447,1265,1210,1138,961,765,740,646,617,528,474,441,383,339,328,244,238,226,226,200,185,143,119,115,123,102,97,104,78,72,81,58,56,48,60,40]
[148,141,182,196,227,248,263,302,300,369,421,457,499,557,649,761,818,1039,1115,1324,1593,1871,2115,2014,2096,1921,1715,1764,1785,1907,2062,2530,2645,2485,2274,2203,2065,1920,1945,2431,2149,2434,2657,2465,2395,2313,2070,2066,2139,2287,2380,2721,2877,2817,2583,2326,2254,2160,2238,2165,2347,2582,2775,2734,2431,2351,2222,2217,2215,2318,2551,3010,3295,3009,2756,2577,2780,2324,2344,2448,2661,2907,3010,3043,2860,2535,2252,2221,2288,2343,2396,2622,2784,2613,2522,2264,2062,2038,2102,2189,2301,2497,2618,2467,2095,2033,1803,1828,1786,1891,1954,2228,2312,1880,1994,1512,1313,1185,980,840,788,713,619,524,512,429,396,364,356,259,253,248,220,209,161,149,178,115,111,132,89,88,81,79,68,61,73,55,58,44]
[154,147,175,180,212,269,272,315,331,342,406,449,523,601,665,773,805,905,1270,1444,1837,2302,2446,2559,2500,2121,1939,1843,1827,2020,2292,2835,2977,2854,2607,2427,2189,2136,2041,2211,2415,2773,3592,2850,2601,2410,2246,2198,2273,2406,2519,2993,3131,3108,2793,2589,2351,2292,2269,2338,2665,3015,3266,3175,2830,2490,2309,2355,2373,2594,2986,3549,3751,3746,3390,2965,2536,2334,2416,2967,2806,3286,3691,3705,3388,2732,2417,2395,2334,2415,2727,3039,3292,3147,2774,2490,2188,2146,2186,2248,2591,3033,3203,2806,2444,2114,1927,1833,1834,2005,2123,2572,2613,2205,1876,1633,1454,1421,1021,896,813,694,567,566,506,405,437,371,314,292,245,243,207,214,166,176,143,133,105,119,103,94,85,85,75,73,70,58,44,44]
[131,149,183,179,214,239,256,310,427,376,423,499,512,613,710,732,823,973,1213,1434,1891,2356,2917,3265,2998,2583,2117,2050,1964,2085,2465,3142,3391,3494,3214,2831,2359,2216,2223,2196,2421,2738,3341,3468,3284,3479,2409,2334,2330,2483,2734,3231,3778,3877,3464,3072,2697,2465,2416,2473,2754,3223,3563,3776,3258,2916,2613,2349,2366,2537,3099,3852,4423,4261,3890,3123,2775,2459,2495,2558,2906,3546,5026,4205,3846,3131,2678,2501,2451,2475,2750,3293,3765,3639,3135,2642,2413,2229,2278,2341,2609,3331,3573,3218,2800,2321,2109,2037,1990,2043,2230,2795,2916,2609,2180,1837,1542,1400,1192,1126,877,712,607,566,530,514,450,386,344,325,305,244,212,207,180,178,158,146,137,129,102,96,88,68,79,73,67,60,66,41]
[154,179,184,168,271,243,279,296,329,411,408,578,547,612,697,753,875,1051,1159,1381,1737,2109,2745,3243,3050,2580,2196,1998,1966,2032,2369,2837,3308,3463,3166,2776,2405,2131,2071,2078,2264,2644,3086,3250,3326,2833,2526,2401,2733,2256,2708,3012,3755,3878,3537,3061,2731,2492,2395,2429,2654,3015,3522,3604,3403,2826,2587,2443,2420,2485,2894,3668,3920,4216,4126,3361,2703,2512,2455,2390,2780,3279,4030,4192,3989,3873,2625,2513,2293,2409,2756,3160,3420,3407,3231,2715,2319,2261,2192,2225,2564,3215,3240,3248,2958,2267,2086,2059,1902,1974,2044,2509,2768,2428,2096,1865,1587,1396,1110,1017,841,704,786,547,528,473,438,368,354,314,286,244,238,190,193,196,140,145,132,133,109,100,85,102,70,59,57,61,52,58]
[160,161,173,232,214,208,255,313,414,399,410,476,521,741,700,792,926,989,1154,1303,1555,1827,2256,2542,2619,2227,2072,1933,1887,1857,2037,2327,2660,2725,2667,2455,2229,2213,1960,1988,2152,2400,2690,2868,2919,2714,2435,2218,2156,2138,2335,3295,3161,3432,3109,2689,2673,2285,2258,2331,2518,2706,2895,3135,2952,2663,2563,2333,2275,2259,2573,3037,3309,3561,3355,2850,2585,2463,2212,2332,2588,2948,3317,3609,3323,2882,2660,2532,2740,2362,2456,2778,2996,3041,2762,2495,2290,2189,2134,2105,2342,2605,2749,2751,2448,2294,2070,1859,1938,1831,1995,2138,2202,2181,1912,1690,1620,1360,1138,1003,816,776,632,579,554,599,423,389,368,330,283,276,260,217,184,189,164,182,138,123,127,87,92,71,72,78,60,53,49,46]
[161,156,192,218,218,250,305,296,375,364,419,463,521,589,677,761,1072,990,1060,1223,1339,1503,1838,2158,2146,2001,1938,1883,1799,1696,1913,2048,2268,2430,2436,2273,2158,2106,1950,1903,2012,2210,2401,2552,2494,2478,2225,2167,2061,2072,2134,2393,2685,2748,3403,2534,2481,2263,2132,2211,2233,2405,2587,2723,2574,2399,2293,2238,2179,2172,2253,2498,2740,2966,2789,2656,2482,2318,2166,2229,2337,2543,2904,3015,2945,2570,2451,2291,2248,2089,2208,2916,2647,2639,2594,2296,2237,2149,2064,2056,2176,2277,2404,2347,2288,2108,2065,1857,1779,1688,1828,1881,1944,1877,1679,1470,1432,1319,1131,960,889,733,673,590,578,544,456,395,415,357,278,252,265,219,179,188,176,155,156,135,114,118,84,91,73,84,67,52,63,48]
[154,149,198,216,242,268,254,327,364,365,451,459,548,595,637,790,862,912,1068,1454,1229,1485,1795,1854,1938,1836,1829,1927,1861,1834,1902,2028,2127,2353,2214,2144,2090,2114,2011,1932,1989,2143,2234,2441,2314,2186,2172,2130,2113,2126,2117,2343,2479,2801,2584,2386,2303,2840,2213,2074,2134,2256,2392,2503,2458,2308,2237,2180,2208,2188,2185,2458,2592,2779,2568,2412,2402,2285,2233,2168,2373,2483,2665,2788,2603,2484,2356,2343,2266,2159,2235,2373,2463,2457,2949,2314,2161,2131,2036,2016,2170,2283,2248,2252,2226,2077,1984,1884,1782,1767,1767,1807,1832,1840,1580,1451,1355,1263,1087,909,829,738,645,573,543,513,480,377,370,314,301,292,236,217,202,172,169,147,125,138,138,118,99,98,85,79,68,65,58,55]
[161,157,180,215,200,264,319,329,369,427,477,519,530,662,771,767,848,990,1102,1172,1388,1484,2126,1947,1783,1613,1760,1832,1815,1800,1871,1961,2131,2175,2072,1951,1956,1977,2012,1972,1958,2096,2285,2388,2319,2132,2136,2097,2148,2003,2065,2334,2446,2413,2358,2222,2304,2340,2194,2159,2562,2352,2470,2448,2429,2185,2215,2216,2172,2159,2235,2415,2496,2655,2422,2264,2254,2276,2231,2204,2294,2545,2574,2612,2474,2313,2314,2383,2270,2257,2321,2443,2505,2589,2416,2240,2185,2628,2085,2159,2039,2233,2387,2286,2148,2006,1994,1908,1840,1769,1774,1795,1917,1746,1555,1321,1278,1118,963,843,754,682,672,581,520,503,440,377,355,344,310,274,240,209,288,203,160,170,130,133,123,113,93,89,84,63,66,77,67,58]
[162,190,189,229,209,261,275,331,351,393,492,533,587,642,707,765,854,1041,1208,1225,1392,1687,1790,1842,1769,1892,1729,1828,1857,1799,1915,2082,2145,2145,1962,1822,1952,1895,1958,1902,2080,2198,2351,2307,2228,2106,2106,2040,2134,2099,2176,2348,2530,2562,2288,2050,2240,2253,2243,2181,2228,2326,3042,2506,2368,2167,2251,2202,2243,2272,2214,2499,2568,2556,2399,2348,2161,2268,2255,2209,2213,2457,2744,2525,2356,2303,2307,2247,2268,2297,2333,2473,2629,2566,2449,2329,2274,2276,2265,2249,2828,2455,2507,2369,2227,2091,2067,1957,1961,1869,1776,1824,1831,1676,1473,1304,1279,1127,1001,970,811,728,642,625,589,565,488,457,378,315,321,294,279,199,227,183,183,195,170,129,145,90,110,100,91,76,62,72,58,57]
[197,199,198,217,249,295,313,369,364,411,490,504,546,641,743,753,903,1063,1215,1449,1638,1822,2029,2062,1946,1836,1865,1912,2388,2062,2054,2172,2364,2207,2141,1973,1952,1979,2059,2150,2125,2339,2573,2517,2375,2111,2163,2135,2169,2256,2391,2505,2679,2600,2365,2322,2243,2284,2195,2381,2430,2588,2676,2683,2526,2799,2390,2294,2283,2371,2462,2706,2732,2607,2475,2375,2316,2393,2431,2417,2426,2727,2874,2792,2580,2388,2405,2340,2346,2405,2533,2790,2804,2785,2673,2409,2471,2338,2419,2396,2505,2646,2656,3086,2399,2116,2174,2065,1979,2109,1962,2013,1991,1700,1470,1302,1207,1086,1029,908,824,744,660,610,530,526,432,407,390,390,304,280,278,225,229,169,214,157,139,159,150,125,126,96,91,83,78,79,69,58]
[169,206,230,249,258,256,308,304,381,473,481,560,590,659,730,823,959,1028,1266,1523,1794,2152,2202,2399,2162,2051,2017,1920,1967,1980,2252,2915,2553,2554,2240,2132,1999,2029,2136,2165,2466,2658,2826,2794,2606,2348,2233,2218,2179,2340,2504,2883,2909,2883,2837,2602,2330,2390,2304,2438,2513,2883,2988,2906,2607,2607,2488,2387,2956,2505,2733,3020,3136,2794,2619,2490,2415,2420,2409,2567,2628,2952,3153,3136,2774,2582,2513,2527,2402,2608,2826,3174,3287,3119,2868,2707,2500,2479,2369,2507,2719,2970,3014,2880,2611,2730,2196,2097,2030,2126,2223,2469,2270,1942,1624,1386,1300,1125,1024,970,857,796,707,679,588,538,512,422,406,335,349,305,258,243,214,202,196,160,144,137,128,102,115,125,98,93,83,60,66,50]
[194,203,193,258,264,289,291,368,369,456,495,510,563,671,735,842,919,1072,1355,1545,2046,2445,2848,2883,2641,2405,2258,2060,2010,2382,2509,2896,3180,3095,3324,2417,2166,2144,2188,2250,2666,3255,3646,3401,3061,2582,2384,2376,2473,2535,2804,3261,3552,3541,3186,2946,2507,2508,2536,2540,2668,3212,3362,3253,2932,2729,2699,2526,2547,2643,2874,4034,3565,3341,2946,2608,2556,2535,2564,2700,2965,3251,3661,3407,3145,2851,2642,2635,2657,2814,3136,3655,3794,3694,3403,3028,2739,2609,2656,2603,2956,3492,3707,3424,3030,2626,2381,2188,2761,2317,2595,3041,3023,2602,1954,1511,1327,1177,1023,893,857,766,723,650,592,499,479,449,367,346,334,314,277,240,207,208,187,153,138,150,131,112,91,104,78,78,94,68,67,56]
[201,223,243,244,256,298,305,348,404,440,497,554,596,738,760,841,912,1065,1373,1594,2090,2695,3072,3309,3201,2715,2368,2257,2229,2384,2590,3116,3400,3308,3036,2691,2262,2721,2257,2394,2851,3269,3798,3698,3209,2813,2499,2482,2450,2604,2945,3514,3771,4058,3572,2992,2702,2569,2550,2664,3024,3337,3614,3472,3119,2873,2740,2666,2658,2643,3006,3533,3905,3810,3956,2931,2770,2635,2636,2690,3018,3806,3944,3945,3588,3042,2758,2768,2732,2925,3388,3947,4375,4230,3939,3305,2922,2760,2717,2891,3264,3862,4038,3959,3221,2762,2507,2302,2175,2337,2774,4120,3368,2758,2188,1582,1370,1199,1053,886,818,837,703,615,635,572,499,436,406,347,304,293,300,245,231,245,183,164,155,123,153,114,103,110,103,86,56,70,68,84]
[187,201,250,236,266,291,322,386,401,437,479,572,644,727,758,843,953,1155,1356,1447,1876,2365,2985,3178,3060,2692,2298,2280,2135,2213,2339,2763,3025,3306,3051,2579,2250,2163,2220,2267,2948,2917,3189,3534,3330,2823,2591,2494,2402,2493,2718,3050,3462,3812,3649,3145,2828,2615,2557,2532,2807,3049,3319,3373,3149,2960,2738,2587,2610,2515,2751,3299,3473,3535,3287,2900,2602,3123,2617,2663,2995,3583,3761,3945,3464,3120,2747,2736,2690,2655,3150,3891,4090,4112,3869,3317,2993,2806,2754,2578,2990,3680,3754,3637,3226,2763,2430,2175,2223,2228,2516,3078,3008,2739,2625,1695,1361,1231,1081,923,849,810,711,674,670,557,488,415,419,356,312,337,290,262,209,228,187,182,149,137,121,112,91,112,86,88,87,73,64,73]
[189,224,223,327,324,339,356,405,496,527,569,578,687,756,879,958,1107,1212,1386,1650,2019,2235,2673,2498,2283,2207,2059,2006,2018,2201,2448,2752,2846,2643,2261,2294,2150,2106,2131,2355,3156,2837,3037,2777,2529,2504,2337,2317,2432,2512,2724,3032,3252,3085,2746,2624,2540,2453,2539,2582,2761,2920,2921,2919,2794,2591,2485,2425,2401,2615,2861,3102,3131,2992,2675,2574,2478,2491,3007,2728,3060,3331,3299,2966,2833,2713,2506,2486,2600,2873,3134,3428,3552,3378,2934,2826,2657,2418,2420,2845,2865,3300,3082,2817,2561,2367,2184,2154,2133,2271,2492,2410,2329,1903,1516,1512,1166,1080,965,909,740,671,643,633,490,503,460,430,409,338,307,265,257,226,191,195,167,165,158,150,135,105,99,96,103,78,71,72,64,63]
[188,197,234,240,288,365,328,391,401,462,545,512,621,662,780,848,956,1029,1247,1315,1361,1672,2028,2230,2348,2182,2113,2005,1893,1978,2061,2199,2410,2444,2412,2293,2180,2066,2044,2107,2046,2317,2938,2662,2600,2483,2380,2330,2197,2257,2373,2550,2661,2861,2707,2593,2467,2396,2322,2364,2457,2522,2699,2776,2647,2535,2503,2453,2300,2232,2369,2523,2842,2791,2743,2574,2516,2367,2337,2365,3072,2671,2813,2898,2893,2673,2581,2434,2396,2483,2552,2689,2917,3039,3010,2748,2670,2577,2321,2300,2540,2592,2716,2748,2672,2429,2305,2221,1902,2009,2042,2137,2134,1925,1717,1504,1323,1446,1094,955,830,767,714,655,607,541,486,471,430,357,357,296,277,254,231,205,209,202,156,143,151,136,132,128,113,110,104,71,63,57]
[198,211,215,258,280,308,305,362,512,467,529,609,635,676,755,824,974,1058,1161,1271,1372,1531,1823,2003,2039,1889,1955,1976,1899,1869,2008,2085,2220,2193,2262,2151,2086,2067,2038,2032,2171,2181,2378,2507,2489,2841,2310,2296,2235,2304,2217,2507,2696,2596,2600,2465,2362,2318,2331,2378,2278,2479,2633,2649,2728,2504,2488,2490,2369,2282,2302,2426,2647,2678,2558,2468,2368,2459,2374,2367,2379,2544,2686,3347,2738,2503,2500,2520,2449,2293,2373,2691,2776,2760,2699,2596,2600,2530,2333,2270,2407,2517,2554,2662,2566,2308,2251,2161,1974,1879,1967,1882,1886,1773,1570,1507,1373,1225,1008,919,1001,756,708,652,553,532,493,455,398,357,333,313,306,277,244,249,198,214,173,179,146,124,106,90,86,83,89,78,58,64]
[170,205,210,250,261,310,342,374,424,390,519,691,591,685,759,831,949,1068,1175,1226,1367,1560,1795,1970,1860,1720,1801,1977,1942,1975,1973,2129,2181,2199,2157,1982,1993,2123,1926,2105,2009,2250,2379,2415,2344,2285,2227,2248,2611,2188,2251,2343,2536,2606,2513,2353,2267,2417,2371,2324,2460,2441,2715,2732,2625,2327,2404,2473,2355,2288,2285,2359,2553,2624,2562,2362,2257,2391,2397,2311,2329,2604,2780,2865,2622,2425,2868,2427,2321,2414,2419,2547,2805,2772,2562,2402,2507,2545,2401,2306,2432,2427,2637,2612,2453,2227,2194,2100,1991,1954,1974,1930,1919,1887,1752,1458,1329,1193,1149,986,881,797,684,805,600,578,517,433,409,394,355,348,278,284,245,226,187,177,162,160,149,116,131,107,98,92,84,73,67,65]
[189,202,215,232,271,298,335,394,388,465,477,581,601,661,890,830,896,1080,1187,1305,1344,1605,1733,1864,1817,1711,1653,1887,1884,1838,1927,2113,2241,2289,2193,2134,2011,1989,2016,2112,2242,2258,2433,2519,2313,2208,2100,2176,2189,2233,2295,2861,2544,2583,2422,2338,2256,2323,2375,2403,2431,2530,2833,2782,2614,2439,2400,2346,2314,2305,2420,2489,2669,2620,2480,2451,2285,2343,2322,2388,2364,2570,2890,2827,2636,2466,2461,2475,2887,2453,2482,2690,2768,2727,2529,2385,2305,2418,2378,2343,2357,2599,2592,2523,2374,2287,2141,2121,2083,2072,2104,2051,2117,2021,1776,1582,1417,1290,1137,1035,891,888,784,707,630,558,630,406,435,382,329,312,303,291,262,232,193,180,153,164,160,110,130,112,115,102,99,83,80,70]
[195,187,217,245,294,323,317,369,394,474,463,540,603,670,773,814,933,1295,1192,1372,1430,1667,1879,1948,1887,1854,1736,1864,1931,2037,2112,2152,2241,2366,2271,2148,2062,2053,2048,2226,2343,2425,2654,2559,2426,2335,2259,2243,2262,2330,2367,2451,2506,2599,3077,2320,2316,2434,2402,2592,2690,2868,2863,2801,2703,2604,2414,2434,2363,2426,2555,2606,2711,2703,2568,2385,2397,2324,2395,2489,2641,2741,3025,2930,2748,2585,2494,2485,2418,2529,2607,3313,2864,2947,2651,2451,2495,2498,2406,2474,2613,2624,2791,2715,2428,2341,2262,2273,2238,2201,2248,2326,2294,2176,1885,1603,1425,1347,1222,1038,973,900,801,665,613,671,575,459,418,481,354,342,317,257,246,270,209,195,161,146,155,130,127,113,118,82,93,75,81,78]
[168,195,231,257,298,284,317,384,447,460,537,560,607,693,760,893,922,1113,1284,1466,2053,1996,2207,2191,2187,2000,1921,1947,2048,2120,2292,2549,2660,2600,2393,2248,2125,2132,2222,2283,2552,2830,3132,2913,2744,2408,2420,2382,2314,2513,2611,2796,3077,2942,2849,2448,2360,2892,2395,2643,2861,3196,3340,3109,2960,2746,2519,2435,2438,2550,2760,3031,3037,2989,2819,2587,2470,2325,2366,2629,2945,3331,3312,3251,3009,2703,2595,2537,2520,2623,2756,3130,3329,3276,3434,2622,2499,2450,2468,2644,2793,3228,3288,2984,2576,2425,2307,2169,2266,2189,2424,2637,2663,2449,2113,1699,1598,1436,1187,1127,944,885,825,701,648,535,496,475,427,415,346,332,339,273,248,212,212,191,167,156,150,171,114,128,102,98,101,84,71,58]
[184,209,233,248,309,321,329,390,404,483,524,602,620,703,773,924,962,1078,1257,1498,1841,2154,2613,3345,2447,2133,1971,1962,2025,2162,2604,3050,3153,2997,2785,2367,2180,2193,2262,2450,2777,3316,3726,3401,3035,2537,2512,2417,2467,2536,2725,3281,3628,3577,3178,2705,2431,2478,2571,2670,3874,3907,4085,3778,3292,2925,2719,2586,2527,2712,2987,3470,3757,3421,3155,2718,2428,2515,2560,2669,3373,4051,4434,3854,3315,2972,2746,2781,2649,2848,3239,3684,3884,3795,3319,3052,2738,3046,2809,2821,3249,3965,3997,3639,3038,2599,2460,2393,2251,2399,2717,3395,3580,2874,2244,1928,1748,1437,1318,1092,993,852,774,754,667,595,593,524,445,424,355,349,315,291,311,215,204,197,165,183,143,145,111,127,120,108,99,85,70,65]
[185,215,212,245,253,311,361,385,447,471,529,586,695,758,785,900,1015,1111,1311,1544,1740,2314,2762,3035,2719,2300,2351,2068,2134,2294,2568,3108,3345,3264,2879,2362,2329,2242,2297,2470,2947,3775,3972,3730,3256,2839,2559,2599,2478,2491,2987,3413,3772,4024,3513,2938,2623,2562,2663,2760,3363,4059,4405,5136,3759,3124,2684,2757,2738,2719,3074,3694,3983,3887,3286,2732,2552,2570,2601,2809,3455,4563,4749,4429,3702,3101,2823,2731,2646,2799,3338,3977,4207,4195,3728,3266,2797,2692,2671,2772,3993,4366,4430,3954,3318,2678,2472,2302,2348,2322,2870,3585,3798,3374,2569,2110,1764,1508,1246,1159,1029,923,821,736,656,606,576,512,441,385,351,353,309,278,250,290,227,239,173,139,161,163,105,125,105,80,75,86,88,69]
[196,239,222,272,290,320,326,383,467,518,521,581,658,722,777,912,988,1135,1259,1459,1719,2060,2521,2919,2740,2213,2023,2087,2485,2237,2448,2690,2975,3124,2894,2423,2254,2210,2252,2387,2679,3220,3574,3589,3212,2830,2588,2572,2440,2494,2720,3095,3494,3616,3270,2782,2647,2528,2515,2609,3077,3737,3919,4012,3654,3152,3270,2671,2651,2756,3038,3372,3794,3609,3232,2753,2649,2541,2506,2592,3361,3723,3978,3982,3612,3032,2797,2755,2635,2747,3041,3567,3789,3741,3551,3158,2799,2629,2691,2495,3076,3725,3868,4422,3186,2668,2361,2356,2178,2298,2771,3236,3290,2991,2348,1973,1710,1497,1348,1121,1015,842,810,745,679,596,575,495,447,408,359,323,347,286,229,213,222,193,186,176,171,139,141,121,107,93,95,93,60,71]
[207,239,248,267,279,318,335,360,441,473,492,558,619,730,730,910,926,1141,1142,1360,1512,1814,2060,2316,2322,2108,1994,1951,2049,2019,2185,2773,2629,2693,2519,2326,2217,2148,2183,2225,2383,2778,2950,3009,2847,2655,2642,2364,2339,2474,2414,2725,2894,3092,2810,2554,2484,2474,2432,2546,2733,3009,3247,3382,3377,2981,2749,2736,2509,2899,2559,2862,3050,3258,2978,2741,2559,2453,2479,2506,2764,2965,3295,3360,3150,2948,2673,2573,2465,2478,2648,2986,3160,3245,3042,2819,2652,2556,2444,2405,2741,2918,3087,3264,2941,2507,2804,2177,2153,2049,2348,2617,2755,2504,2137,1762,1610,1443,1289,1126,915,826,769,738,692,592,520,474,467,429,379,351,323,305,259,235,226,217,201,160,152,155,111,155,101,89,104,63,76,86]
[216,212,219,279,314,332,368,426,413,493,510,567,608,697,761,843,918,1020,1192,1217,1409,1522,1806,1977,1916,1912,1811,1898,1901,1886,1953,2157,2271,2390,2720,2165,2127,2104,2108,2154,2193,2371,2568,2642,2506,2517,2336,2364,2266,2215,2267,2390,2533,2692,2470,2565,2322,2350,2340,2363,2537,2652,2845,2920,2840,2653,2549,2455,2351,2330,2375,2545,3203,2732,2647,2428,2371,2342,2248,2394,2477,2585,2764,2883,2816,2595,2535,2521,2321,2262,2522,2635,2749,2847,2729,2558,2550,2418,2338,2287,2425,2583,2537,2658,2576,2429,2266,2137,2020,2376,2050,2181,2045,2004,1778,1621,1499,1395,1180,1058,963,821,711,689,660,592,578,494,436,388,350,351,291,306,253,209,209,198,200,175,178,147,115,123,113,93,118,81,68,69]
[213,203,235,218,270,321,354,417,426,453,443,604,661,669,798,847,976,1137,1170,1245,1360,1588,1743,1997,1899,1846,1872,1942,1916,1928,1971,2217,2252,2359,2254,2129,2058,2517,2101,2156,2277,2350,2517,2589,2506,2322,2321,2380,2272,2243,2375,2382,2394,2536,2454,2451,2343,2334,2320,2366,2454,2596,2671,2812,2636,2562,2537,2411,2243,2297,2506,2437,2547,2601,3009,2398,2295,2348,2332,2352,2517,2717,2805,2688,2606,2629,2500,2534,2407,2316,2479,2483,2694,2670,2580,2449,2480,2429,2467,2294,2297,2442,2403,2543,2527,2264,2215,2146,2058,1965,1959,2006,2399,1986,1795,1568,1421,1372,1112,1006,880,805,743,653,612,555,486,445,399,407,334,331,284,266,239,232,225,188,159,168,164,124,123,97,102,88,69,60,56,61]
[180,192,226,308,256,329,329,369,410,468,504,587,626,674,834,857,895,1030,1205,1267,1459,1671,1836,1977,1893,1862,1791,1877,1994,1934,2024,2129,2289,2365,2239,2167,2142,2122,2171,2207,2616,2427,2538,2670,2451,2327,2387,2353,2265,2319,2328,2434,2534,2632,2465,2297,2291,2321,2331,2324,2309,2476,2646,2625,2593,2485,2413,2323,2289,2346,2295,2470,2627,2504,2412,2400,2350,2895,2338,2341,2568,2609,2778,2826,2673,2495,2378,2481,2428,2280,2395,2578,2666,2541,2512,2392,2436,2373,2311,2272,2293,2457,2675,2589,2400,2212,2118,2189,2016,1945,1914,1868,2129,1857,2010,1473,1383,1268,1127,1025,928,804,758,632,604,582,536,451,409,405,348,345,328,264,265,232,208,189,193,161,154,146,107,117,87,95,108,70,77,51]
[178,222,239,270,274,331,321,378,425,469,498,516,610,716,816,885,1016,1131,1294,1315,1532,1704,1900,1958,1924,1820,1962,1973,1912,2140,2187,2353,2448,2445,2366,2169,2202,2167,2321,2376,2314,2483,2719,3214,2519,2392,2455,2393,2359,2349,2505,2496,2718,2565,2517,2324,2302,2394,2353,2353,2507,2459,2686,2700,2552,2413,2432,2383,2444,2358,2410,2498,2584,2560,2490,2376,2386,2424,2439,2490,3007,2760,2845,2813,2647,2544,2431,2509,2487,2397,2439,2544,2716,2649,2448,2273,2423,2320,2334,2325,2448,2538,2602,2448,2345,2260,2135,2110,1938,1978,1970,1889,1988,1889,1625,1476,1322,1493,1065,943,906,806,762,692,581,602,500,443,428,368,357,327,297,282,237,210,200,212,185,157,159,112,113,93,97,86,63,63,53,71]
[173,217,192,243,295,294,384,390,449,483,410,553,620,682,741,778,947,1110,1310,1442,1642,1885,2079,2113,2100,1886,1872,1995,2119,2185,2380,2643,2677,2590,2520,2394,2284,2268,2337,2528,2525,2791,3002,2798,2774,2460,2893,2453,2415,2482,2648,2808,2869,2807,2620,2581,2482,2398,2373,2534,2515,2695,2810,2764,2522,2517,2324,2404,2437,2446,2527,2650,2794,2755,2552,2530,2296,2362,2428,2505,2649,2778,2934,3509,2625,2589,2572,2641,2451,2528,2564,2666,2681,2543,2534,2348,2288,2363,2272,2444,2477,2674,2662,2528,2356,2155,2114,2139,2084,2063,2048,2091,1999,1840,1617,1469,1364,1255,1133,1039,1043,812,810,681,602,569,523,488,421,399,349,344,299,263,264,230,188,192,187,162,138,125,137,112,97,111,73,74,68,72]
[188,208,209,234,275,301,327,374,384,448,512,662,654,766,743,857,923,1135,1368,1604,1703,2151,2392,2407,2333,2067,1901,1998,1954,2268,2498,2988,2960,2931,2744,2522,2331,2380,2635,2347,2839,3204,3266,3118,2952,2734,2493,2516,2418,2766,2747,3093,3256,3066,2927,2628,2576,2463,2440,2586,2633,2894,3176,2905,2694,2415,2368,2371,2337,2507,2781,2994,3088,2964,2807,2481,2500,2367,2519,2676,2873,3027,3366,3261,2981,2775,3148,2632,2602,2615,2722,2934,2902,2925,2620,2456,2367,2329,2353,2509,2624,2938,3118,2931,2525,2298,2108,2012,2039,2100,2204,2561,2501,2165,1760,1406,1307,1241,1147,1027,906,776,725,815,614,567,519,464,457,400,387,292,327,275,245,210,214,180,160,137,134,118,122,105,107,90,107,82,65,74]
[183,198,235,249,278,306,347,387,429,430,527,540,612,873,829,849,964,1151,1365,1597,2077,2598,3014,3136,2598,2357,2103,2142,2198,2450,2894,3423,3512,3575,3229,2828,2644,2429,2551,2733,2956,3680,3858,3827,3425,3056,2805,2560,2630,2602,2919,4539,3941,3780,3220,2879,2711,2531,2507,2568,2964,3434,3606,3731,3131,2827,2480,2519,2575,2657,2819,3513,3700,3442,3187,2704,2484,2502,2583,2779,3027,3603,3976,3641,3345,3029,2758,2729,3068,2753,2953,3528,3619,3389,2839,2648,2465,2314,2398,2490,2903,3583,3787,3596,2988,2491,2160,2037,2121,2115,2542,3316,3374,2811,2181,1677,1463,1244,1138,1007,862,853,762,766,641,639,524,481,387,390,374,317,279,272,245,230,232,168,171,167,145,133,126,109,93,103,77,67,56,57]
[182,244,232,282,299,313,344,382,416,471,519,568,627,742,816,932,1203,1232,1331,1640,2106,2891,3342,3477,3161,2577,2148,2288,2259,2485,3145,3738,3940,3985,3593,3173,2861,2644,2637,2749,3272,4074,4567,4345,3758,3238,2776,2591,2682,2778,3181,3953,4080,4813,3579,2974,2688,2574,2633,2701,3147,3680,3953,3785,3411,2780,2438,2570,2535,2564,3066,3725,4120,3982,3480,2921,2542,2564,2612,2765,3082,4099,4259,4054,3520,3043,2880,2835,2729,2839,3174,4529,4080,3890,3207,2572,2437,2341,2400,2566,3319,4154,4304,3943,3166,2504,2201,2097,2041,2184,2766,3698,3734,3098,2192,1581,1299,1200,1095,996,933,859,786,693,617,595,548,474,479,409,330,338,286,264,244,247,195,174,189,172,149,144,126,99,79,92,72,79,69,63]
[188,241,248,262,302,270,349,364,419,421,497,599,696,700,773,860,960,1144,1356,1751,1903,2316,2887,3179,2945,2452,2176,2237,2230,2344,2974,3387,3742,3947,3879,3197,2752,2708,2628,2659,2992,3672,4342,3931,3940,3172,2809,2700,2547,2732,3085,3412,3722,3804,3648,3116,2662,3239,2594,2522,2826,3372,3567,3676,3173,2809,2566,2452,2440,2602,2968,3546,3714,3813,3430,2967,2658,2560,2590,2535,2920,3587,4022,3900,3526,3092,2918,2860,2646,2676,3005,3367,3695,3762,3889,2662,2493,2378,2471,2619,3042,3697,3965,3876,3261,2481,2079,2025,2020,2122,2544,3173,3250,2937,2232,1707,1315,1216,1135,965,932,833,737,716,631,547,550,476,437,401,374,394,339,286,256,242,215,199,178,144,125,126,133,98,117,104,78,80,61,46]
[174,206,248,245,320,329,404,389,444,473,509,589,651,747,757,864,1010,1078,1231,1459,1730,1891,2943,2637,2411,2154,2132,2083,2131,2263,2522,2835,3142,3368,3144,2846,2681,2515,2386,2522,2740,3098,3398,3549,3269,2816,2761,2623,2470,2454,2569,3048,3215,3239,3045,2705,2712,2596,2553,2937,2662,2986,3155,3142,2917,2657,2472,2436,2485,2565,2789,3178,3277,3205,2928,2709,2430,2529,2450,2645,2742,3255,3327,3372,3105,2874,2839,2550,2535,2571,2879,2968,3078,3134,2849,2439,2360,2820,2392,2439,2775,3070,3211,2984,2694,2258,2137,2117,2022,2022,2272,2372,2544,2272,1916,1437,1286,1234,1034,970,884,834,749,678,623,590,533,473,407,363,352,342,319,279,287,209,186,193,172,143,151,140,138,104,98,82,72,56,50,66]
[176,234,251,279,254,361,366,346,431,503,541,581,660,732,768,937,963,1119,1251,1334,1461,1732,1962,2209,2074,2406,1994,1991,1986,2075,2313,2471,2708,2778,2693,2532,2422,2298,2255,2372,2554,2753,2916,2884,2779,2603,2521,2510,2414,2461,2552,2813,2828,2897,2837,2578,2650,2569,2387,2443,2417,2565,3219,2662,2530,2442,2515,2402,2356,2487,2640,2606,2879,2856,2659,2454,2541,2457,2370,2581,2588,2741,2829,2963,2893,2774,2667,2560,2454,2511,2639,2656,2695,2665,2532,2516,2362,2342,2187,2328,2936,2529,2505,2552,2355,2086,2049,1951,1922,1981,1927,2022,1977,1859,1614,1379,1328,1171,986,955,873,831,710,627,611,605,524,445,412,354,332,320,297,264,277,230,185,243,160,174,156,122,115,104,93,74,75,58,70,56]
[227,250,261,286,306,339,361,392,443,469,554,596,655,724,771,879,975,1084,1165,1394,1415,1654,1733,2011,1961,1900,1929,2003,2353,1986,2113,2339,2448,2556,2513,2363,2399,2377,2286,2243,2395,2596,2817,2746,2569,2515,2565,2544,2391,2339,2513,2698,2727,2768,2616,2557,2594,2386,2445,2403,2463,2488,2601,2543,2608,3027,2464,2420,2447,2552,2638,2651,2719,2704,2572,2420,2465,2457,2506,2527,2673,2735,2817,2844,2730,2613,2611,2570,2547,2597,2570,2550,2646,2591,2436,2399,2279,2298,2242,2299,2255,2469,2794,2306,2362,2135,2042,1942,1907,2001,1962,1836,1833,1685,1445,1415,1215,1164,1058,957,865,780,674,673,648,598,506,424,459,395,343,349,304,287,229,210,241,200,190,159,206,125,114,92,101,68,79,72,66,61]
[210,251,236,275,299,278,356,390,453,494,550,556,660,700,800,870,1000,1063,1214,1324,1451,1541,1819,1895,1925,1855,1866,2015,2006,1971,2081,2693,2388,2394,2324,2252,2307,2379,2255,2288,2287,2545,2728,2674,2528,2483,2420,2451,2451,2390,2396,2598,2781,2752,2510,2519,2499,2313,2335,2383,2533,2599,2722,2581,2529,2365,2428,2395,2674,2596,2540,2590,2783,2687,2611,2427,2395,2421,2479,2523,2610,2637,2885,2887,2620,2610,2606,2651,2515,2455,2490,2651,2802,2621,2429,2329,2279,2193,2177,2332,2337,2362,2368,2313,2206,2544,2041,1918,1952,1928,1865,1933,1817,1764,1547,1356,1253,1083,1024,949,850,788,687,673,626,576,466,435,410,402,329,341,287,281,240,248,225,211,177,152,152,134,99,133,101,98,87,68,51,66]
[237,211,266,267,282,374,396,378,421,483,528,564,664,694,900,848,953,1061,1263,1291,1514,1633,1877,1943,1842,1695,1851,1955,2007,2020,2181,2264,2357,2413,2684,2074,2128,2177,2338,2266,2416,2506,2796,2540,2493,2169,2276,2339,2348,2369,2521,2737,2708,2829,2473,2472,2348,2353,2342,2422,2497,2614,2654,2527,2545,2458,2343,2390,2437,2394,2653,3302,2890,2737,2569,2390,2468,2436,2599,2516,2691,2797,2917,2797,2562,2406,2514,2511,2451,2544,2618,2786,2738,2713,2516,2445,2297,2200,2225,2275,2369,2409,2425,2284,2195,2162,1978,1916,2361,1993,2011,2030,1970,1771,1589,1417,1311,1131,959,918,821,755,784,661,636,493,494,471,404,417,382,348,295,275,231,217,195,199,195,168,123,138,120,106,102,94,93,74,63,56]
[209,220,269,242,290,341,408,389,412,471,527,544,672,748,809,877,954,1108,1274,1432,1568,1725,1840,1881,1875,1831,1898,1967,1972,2032,2168,2318,2421,2410,2212,2102,2561,2228,2267,2367,2562,2675,2733,2557,2372,2303,2311,2313,2395,2507,2592,2741,2865,2808,2656,2469,2461,2464,2425,2468,2651,2856,2944,2806,2591,2529,2478,2485,2596,2623,2794,2965,2964,2971,3261,2543,2497,2464,2532,2793,2715,2899,3125,2879,2695,2589,2475,2502,2568,2700,2852,3028,3069,2852,2681,2499,2411,2334,2331,2403,2394,2619,2538,2381,2232,2068,2059,2122,2091,2147,2152,2605,2007,1842,1664,1376,1366,1186,1021,994,877,741,763,729,641,576,524,495,444,364,359,312,291,239,258,228,247,189,191,161,154,142,142,119,102,86,71,79,80,54]
[203,248,305,258,306,349,377,413,428,502,555,636,648,742,793,894,980,1113,1253,1456,1764,2022,2149,2279,2044,1985,1948,1945,1955,2173,2482,2585,2698,2647,2521,2320,2132,2280,2260,2847,2699,3052,3200,2875,2701,2527,2320,2321,2542,2562,2871,3142,3459,3038,2764,2594,2435,2362,2468,2596,2749,3108,3097,3021,2694,2653,2471,2467,2603,2798,3089,3343,3512,3202,2897,2568,2496,3024,2619,2853,3177,3557,3419,3276,2903,2690,2593,2548,2740,2735,2946,3519,3626,3315,2789,2487,2440,2316,2341,2482,2674,2884,2782,2669,2522,2271,2132,2039,2104,2203,2358,2635,2501,2126,2201,1558,1302,1243,1081,1001,891,798,774,703,663,595,531,505,434,412,347,337,290,281,266,217,214,175,178,174,164,147,137,122,82,107,66,73,79,52]
[207,222,274,272,310,387,364,411,439,505,515,599,721,744,794,908,1011,1146,1302,1609,1937,2402,2587,2708,2507,2141,1989,2039,2135,2392,2584,3030,3274,3257,2874,2405,2269,2336,2332,2500,3117,3662,4727,3657,3067,2522,2444,2347,2554,2793,3208,4059,4046,3661,3189,2778,2569,2510,2559,2710,3157,3933,4090,3649,3136,2657,2582,2508,2602,2842,3468,4322,4424,4113,3399,2777,2505,2712,2724,3478,3466,4093,4178,3972,3268,2873,2700,2528,2775,3012,3539,4208,4555,3922,3435,2859,2562,2507,2594,2659,3035,3519,3318,2969,2542,2361,2134,2097,2280,2249,2796,3352,3236,2788,2126,1611,1335,1486,1074,957,932,859,727,684,637,580,501,532,440,389,372,358,304,271,258,227,194,180,190,151,151,111,139,124,102,92,87,67,55,57]
[195,215,244,286,334,322,395,401,543,443,510,631,655,739,831,903,1096,1082,1304,1682,1930,2598,3005,3272,2663,2113,1863,1984,2035,2224,2593,3353,3676,3921,3145,2518,2374,2284,2348,2505,3099,4034,4329,4139,3601,3299,2407,2426,2566,2770,3567,4407,4364,4097,3602,2886,2499,2526,2542,2857,3278,4084,4737,4234,3416,2783,2492,2689,2634,2794,3700,4571,4831,4511,3744,2896,2627,2632,2607,2949,3442,4357,5646,4437,3615,2938,2784,2757,2765,3002,3865,4623,5037,4519,3646,2923,2493,2535,2576,2663,3187,3719,3752,3259,2721,2345,2123,2060,2130,2435,3120,3836,3798,3078,2277,1675,1439,1264,1101,1000,1050,864,715,722,625,602,537,513,465,383,363,320,307,280,240,227,195,198,174,159,147,119,100,114,102,89,92,81,66,69]
[221,225,233,279,287,289,370,413,439,486,548,764,646,785,888,938,984,1069,1280,1486,1880,2302,2854,3171,2710,2171,2016,2039,2069,2183,2613,2948,3565,3754,3259,2549,2371,2362,2349,2440,3004,3578,3833,3968,3460,2718,2372,2429,2997,2640,3160,3804,3949,3753,3348,2833,2500,2550,2501,2690,3173,3808,4077,3956,3296,2760,2608,2638,2597,2769,3456,3945,4272,4073,3490,2837,2568,2663,2604,2785,3211,3927,4218,4136,3689,3648,2727,2778,2695,3009,3615,4145,4097,4087,3494,2782,2582,2484,2456,2543,2987,3557,3479,3093,2627,2272,2131,2059,2085,2265,2808,3329,3371,2981,2197,1639,1452,1235,1164,1062,981,859,887,675,643,605,532,466,417,380,339,301,306,314,242,234,213,202,190,167,156,143,120,109,105,88,88,75,87,59]
[238,219,276,275,279,310,359,378,458,495,547,586,635,721,970,879,983,1077,1253,1336,1617,1904,2298,2626,2352,2060,2065,1967,1893,2034,2363,2656,2815,3146,2898,2378,2365,2228,2285,2312,2671,2978,3209,3185,3084,2536,2356,2266,2393,2442,2721,3784,3144,3130,2794,2672,2560,2457,2440,2544,2835,3029,3291,3223,2985,2640,2596,2524,2483,2640,2888,3196,3349,3261,3038,2803,2579,2589,2479,2620,2901,3252,3358,3395,3177,2808,2722,2572,3079,2780,3071,3345,3272,3320,2974,2703,2545,2469,2438,2472,2714,2857,2900,2814,2501,2217,2142,1986,2045,2194,2335,2571,2535,2246,1873,1601,1305,1244,1110,954,907,897,763,706,668,704,510,472,477,400,382,322,314,298,279,235,216,212,207,146,145,136,111,80,97,106,70,74,59,48]
[206,201,234,282,320,342,353,392,417,496,549,595,652,710,779,883,1204,1089,1250,1318,1444,1625,1875,2064,2032,1955,1882,1877,2003,1989,2202,2297,2279,2492,2511,2327,2212,2264,2185,2418,2348,2435,2548,2660,2612,2384,2339,2280,2334,2416,2439,2573,2642,2744,3125,2481,2402,2344,2396,2440,2618,2626,2745,2797,2555,2461,2522,2316,2427,2624,2598,2878,2843,2900,2646,2590,2623,2480,2470,2486,2621,2787,2875,2938,2813,2643,2573,2554,2509,2678,2635,3378,2835,2779,2745,2580,2419,2360,2394,2380,2466,2454,2490,2354,2294,2081,2115,2038,2016,2082,2067,2119,2094,1895,1672,1491,1325,1177,1061,997,956,792,740,647,617,566,530,470,519,403,379,348,321,301,263,201,215,200,169,176,155,105,137,102,85,90,85,97,69,49]
[250,263,296,334,359,368,433,451,514,552,573,641,710,819,949,987,1125,1527,1340,1434,1663,1857,1923,1934,1787,1854,1990,1922,1990,2116,2133,2228,2291,2182,2145,2227,2100,2129,2256,2324,2355,2430,2440,2373,2269,2204,2405,2290,2355,2406,2400,2477,2581,2520,2333,2798,2336,2325,2387,2402,2538,2572,2574,2425,2418,2363,2371,2398,2389,2584,2590,2609,2515,2598,2456,2403,2344,2438,2445,2605,2812,2597,2655,2600,2525,2381,2339,2411,2447,2649,2675,2679,3133,2456,2483,2416,2374,2347,2407,2388,2277,2361,2302,2220,2126,2107,1966,2022,1987,2070,2002,1929,1757,1556,1409,1226,1138,1045,965,888,773,709,646,615,563,520,429,415,377,410,331,310,287,232,216,214,187,172,172,145,137,133,94,102,102,64,75,58,64,41]
[240,268,285,296,323,345,402,388,472,544,590,611,694,790,865,1013,1106,1195,1350,1739,1606,1854,1931,1847,1821,1848,1919,2002,2014,2127,2198,2245,2317,2191,2146,2175,2173,2119,2267,2370,2499,2555,2653,2483,2325,2327,2345,2325,2428,2482,2572,2743,2622,2634,2377,2430,2780,2271,2457,2541,2585,2660,2648,2596,2435,2348,2356,2384,2418,2623,2710,2787,2922,2518,2588,2499,2464,2486,2513,2657,2680,2904,2757,2663,2562,2516,2478,2405,2508,2557,2747,2692,2795,3174,2436,2437,2326,2378,2315,2349,2436,2365,2405,2352,2111,2160,1996,2030,1949,2097,2094,1993,1834,1618,1428,1313,1144,1039,969,968,779,704,672,630,519,503,490,418,408,340,384,274,253,272,219,216,209,170,147,144,107,143,116,93,83,74,73,63,61,63]
[193,249,289,286,313,334,344,376,459,507,531,570,680,724,797,879,945,1142,1157,1351,1531,2011,1862,1912,1818,1857,1845,1882,1955,2007,2084,2239,2288,2333,2235,2247,2053,2331,2187,2325,2449,2588,2705,2688,2558,2445,2297,2348,2417,2530,2473,2590,2721,2637,2480,2388,2320,2320,2332,2970,2667,2647,2676,2594,2557,2403,2408,2387,2497,2543,2700,2781,2882,2780,2710,2573,2515,2454,2514,2562,2687,2808,2862,2831,2616,2417,2514,2383,2515,2556,2718,2763,3006,2781,2689,2474,2976,2354,2419,2418,2613,2440,2504,2438,2290,2177,2074,2086,2054,2061,2162,2139,2088,1857,1710,1521,1325,1116,1018,986,842,849,734,729,589,584,496,474,458,414,347,343,295,337,261,208,225,201,184,169,145,133,117,110,107,111,85,79,57,49]
[182,234,261,296,305,353,352,385,433,479,555,579,643,706,824,891,959,1225,1281,1521,1608,1872,1922,2008,2337,1886,1881,1937,2067,2150,2248,2449,2409,2270,2202,2137,2076,2187,2303,2496,2669,2773,2888,2740,2520,2583,2478,2360,2427,2420,2528,2770,2729,2697,2575,2455,2430,2425,2431,2592,2657,2848,3344,2727,2579,2491,2443,2508,2540,2699,2766,3040,3079,2923,2693,2640,2570,2563,2549,2658,2728,3058,2931,2673,2674,2584,2542,2516,2670,2671,2846,3090,3106,2930,2717,2567,2406,2445,2418,3104,2688,2721,2708,2519,2332,2268,2155,2032,2127,2198,2381,2449,2140,1993,1626,1495,1369,1197,1116,1008,939,816,738,738,658,615,512,477,456,403,395,328,299,280,245,249,231,191,167,175,134,139,125,113,113,120,88,63,64,66]
[199,238,245,279,312,394,371,415,439,499,540,578,647,738,759,882,1033,1148,1334,1605,1900,2254,2482,2381,2230,1990,1899,2355,2197,2083,2492,2764,2800,2670,2428,2187,2167,2348,2372,2509,2845,3206,3228,3055,2905,2619,2525,2445,2480,2585,2955,3112,3266,3037,2845,2557,2365,2419,2473,2626,2899,3297,3348,3139,2846,3040,2566,2610,2651,2796,3146,3507,3650,3355,2933,2754,2621,2639,2615,2779,3093,3378,3396,3232,2844,2607,2450,2498,2618,2805,3168,3553,3512,3340,3002,2842,2615,2660,2659,2681,2972,3202,3876,2792,2601,2394,2161,2128,2235,2413,2780,3102,2827,2382,1872,1583,1357,1221,1112,1052,889,891,735,657,675,552,540,507,455,387,388,370,301,273,259,259,180,192,178,214,144,141,121,123,119,95,80,64,77,71]
[200,238,258,267,314,315,381,391,477,461,550,626,772,736,821,991,1087,1158,1441,1728,2269,2856,3240,3128,2614,2182,1954,2004,2091,2220,3324,3321,3555,3238,2746,2311,2275,2289,2401,2715,3198,3885,4058,3552,3081,2748,2523,2521,2528,2829,3205,4007,4138,3695,3144,2637,2468,2371,2541,2711,3253,3867,4071,3707,2983,2621,2479,3133,2778,2930,3724,4263,4220,3787,3203,2827,2626,2668,2702,2893,3599,4108,4234,3837,3088,2617,2630,2595,2738,2935,3800,4398,4294,4025,3333,2891,2606,2659,2684,2731,3470,4023,4165,3431,3010,2928,2137,2132,2183,2477,3386,3913,3749,2876,2120,1717,1430,1223,1121,1046,944,877,754,714,636,624,546,490,476,390,380,336,304,287,224,255,199,189,152,148,147,127,161,110,95,84,101,78,57,51]
[191,241,228,293,300,363,358,422,475,508,588,626,680,744,861,948,1070,1117,1326,1679,2236,2875,3432,3646,3053,2296,1962,2065,2052,2165,2692,3146,3743,4524,3169,2558,2251,2263,2261,2515,3193,4124,4260,4195,3527,2799,2657,2656,2561,2852,3577,4210,4294,4274,3484,2854,2469,2472,2434,2830,3210,4092,4406,4131,3355,2937,2491,2445,2565,2778,4341,4701,4944,4366,3642,2917,2699,2663,2688,3011,3556,4402,4625,4303,3462,2772,2508,2561,2648,2941,3811,4782,4796,4579,3818,2928,2732,2633,2684,2902,3605,4463,4619,3965,3407,2612,2238,2138,2615,2477,3476,4431,4297,3509,2545,1794,1477,1306,1057,1024,915,843,809,693,657,589,539,489,406,394,386,341,300,280,281,243,208,186,203,166,139,120,123,104,96,114,83,69,67,66]
[226,210,270,270,318,320,357,355,430,484,579,595,683,751,786,897,995,1099,1307,1507,1932,2535,3125,3179,2809,2203,1931,1944,2003,2099,2484,2943,3405,3415,2972,2394,2683,2190,2228,2372,3094,3726,3880,3932,3338,2699,2599,2665,2572,2839,3253,3738,3861,3847,3348,2602,2387,2317,2489,2553,3247,3537,3851,3560,3118,2648,2464,2419,2503,2699,3285,4052,4238,4770,3444,2696,2631,2540,2594,2701,3341,3938,4181,3662,3095,2552,2508,2543,2645,2881,3606,4405,4206,3998,3322,2733,2518,2591,2523,2681,3292,3791,3738,3597,3123,2400,2229,2040,2202,2379,3627,3758,3604,2959,2204,1699,1414,1283,1108,1004,966,830,732,680,639,560,478,504,440,367,381,322,299,281,254,226,238,181,200,167,120,107,118,103,100,79,81,61,88,52]
[223,266,237,290,270,325,371,384,457,485,563,627,669,765,817,924,991,1097,1258,1468,1581,1940,2238,2466,2293,1884,1918,1946,1907,2079,2098,2474,2664,2794,2631,2217,2145,2105,2182,2801,2683,2994,3240,3233,2832,2671,2496,2410,2398,2423,2836,2981,3135,3211,2847,2392,2388,2288,2357,2406,2625,2948,2972,3050,2742,2431,2418,2401,2462,2538,2876,3055,3300,3290,3010,2751,3050,2331,2456,2613,2778,2955,3100,3098,2735,2436,2430,2345,2354,2626,2981,3218,3304,3174,2945,2500,2532,2429,2403,2490,2801,2955,2980,2974,2604,2292,2067,1969,2041,2138,2391,2596,2632,2913,1912,1575,1406,1257,1066,1025,890,846,746,672,646,566,529,464,450,417,317,311,304,281,275,253,193,190,183,162,134,112,130,119,97,94,71,77,76,55]
[199,217,258,272,342,311,357,446,408,507,519,610,647,720,826,932,972,1138,1213,1346,1470,1680,1926,2077,1994,1886,1939,1929,1943,1908,2149,2286,2328,2451,2296,2115,2075,2123,2178,2351,2387,2556,3288,2854,2689,2510,2510,2426,2339,2458,2534,2626,2772,2795,2616,2369,2383,2316,2314,2537,2600,2689,2586,2753,2566,2581,2417,2363,2381,2486,2626,2743,2796,3014,2780,2614,2544,2461,2431,3060,2664,2572,2741,2827,2638,2358,2326,2447,2464,2474,2707,2848,2862,2954,2764,2569,2501,2448,2456,2498,2561,2646,2721,2575,2429,2267,2049,2086,2089,2067,2141,2295,2180,2007,1690,1448,1685,1196,1089,964,898,770,745,692,599,559,554,492,431,401,380,309,297,250,232,223,209,192,181,155,142,139,125,113,92,103,93,69,56,59]
[187,223,255,286,280,319,362,456,448,525,551,574,648,699,848,885,960,1083,1280,1358,1433,1551,1727,1895,1851,1910,1824,1936,1948,1996,2038,2046,2125,2273,2233,2136,2050,2092,2263,2342,2355,2466,2621,2678,2999,2482,2451,2415,2308,2422,2571,2550,2593,2655,2530,2374,2413,2411,2284,2419,2553,2650,2634,2726,2586,2507,2492,2385,2464,2448,2597,2589,2813,2812,2618,2574,2485,2448,2381,2456,2497,2631,2987,2719,2500,2462,2371,2307,2393,2501,2542,2631,2801,2775,2601,2471,2448,2372,2399,2378,2362,2507,2499,2385,2321,2183,2004,2007,1988,2012,2001,2087,1864,1808,1550,1478,1327,1143,1104,1208,839,801,711,687,590,566,516,475,464,424,359,341,320,286,288,236,217,190,207,158,142,126,132,103,101,92,93,78,60,66]
[190,217,261,266,281,344,335,386,419,434,640,593,607,714,833,878,988,1072,1247,1379,1437,1637,1797,1961,1840,1836,1796,1899,1833,1916,2043,2159,2234,2317,2203,2213,2115,2102,2222,2240,2307,2377,2513,2700,2511,2404,2435,2914,2382,2560,2510,2695,2654,2492,2505,2461,2406,2306,2389,2472,2517,2678,2731,2860,2516,2441,2492,2388,2407,2427,2505,2663,2765,2666,2561,2529,2513,2368,2490,2386,2561,2542,2634,2701,2588,2915,2427,2375,2378,2458,2547,2688,2728,2655,2560,2416,2327,2403,2405,2384,2425,2486,2540,2406,2303,2183,2071,1964,1982,1944,1950,1986,1949,1801,1645,1481,1347,1150,1059,930,874,785,931,718,618,527,513,487,426,389,344,343,324,267,258,246,204,190,185,150,151,135,117,103,114,84,82,92,49,53]
[203,213,247,267,342,344,381,403,446,486,530,593,674,848,754,868,997,1121,1210,1413,1586,1773,1895,1887,1874,1858,1913,1919,2003,1976,2128,2251,2349,2365,2203,2161,2131,2122,2131,2280,2328,2561,2637,2686,2515,2357,2335,2356,2346,2464,3109,2761,2756,2758,2609,2416,2406,2458,2398,2628,2796,2902,2927,2731,2710,2471,2498,2459,2596,2572,2640,2774,2882,2799,2637,2496,2433,2398,2471,2434,2600,2650,2743,2647,2544,2465,2297,2885,2426,2394,2647,2717,2828,2670,2559,2499,2359,2401,2276,2400,2471,2598,2503,2506,2304,2244,2183,2162,2029,2068,2007,2153,2141,1903,1747,1569,1274,1210,1034,1014,916,808,728,683,636,672,487,466,418,391,361,329,292,279,271,236,200,208,153,183,140,133,125,116,83,86,81,63,63,68]
[192,240,259,238,306,341,366,389,440,472,546,578,601,695,760,815,1200,1184,1244,1463,1713,1892,2094,2078,1955,1874,1893,1939,1954,2099,2334,2445,2483,2459,2324,2111,2104,2127,2144,2292,2430,2641,2776,2664,2486,2318,2332,2564,2515,2518,2754,2857,2935,3310,2668,2551,2509,2450,2591,2676,2809,2963,3045,3024,2708,2637,2645,2449,2606,2647,2753,2965,2974,2849,2648,2557,2513,2471,2463,2607,2685,2831,2856,2758,2589,2456,2408,2433,2523,2604,3191,2903,2906,2742,2515,2448,2371,2342,2424,2530,2656,2760,2683,2557,2439,2255,2251,2135,2085,2234,2214,2313,2154,1920,1716,1512,1360,1194,1062,963,995,865,780,696,667,536,532,510,479,354,350,360,256,294,244,208,226,188,183,165,138,126,129,129,121,95,71,83,69,62]
[209,245,276,279,296,350,353,402,455,486,568,586,596,733,741,890,1031,1095,1280,1904,1840,2316,2443,2406,2179,2099,1983,2051,2153,2201,2601,2740,2928,2719,2527,2319,2321,2141,2376,2442,2650,3169,3130,2980,2712,2494,2463,2364,2398,2730,2955,3361,3338,3226,2928,2601,2926,2529,2676,2858,3084,3510,3450,3245,2912,2726,2703,2431,2541,2656,3011,3311,3344,3177,2792,2618,2544,2503,2584,2643,2911,3186,3276,2993,2726,2590,2377,2489,2504,2583,2883,3177,3239,3753,2773,2443,2458,2313,2418,2597,2942,3142,3147,2879,2593,2365,2244,2030,2267,2317,2491,2633,2656,2084,1752,1550,1379,1210,1108,996,949,765,780,664,647,604,509,477,441,406,395,412,308,274,272,222,213,195,182,157,140,162,111,120,107,74,95,65,72,51]
[203,241,264,261,302,342,375,385,433,495,560,596,667,741,844,914,1048,1185,1364,1753,2245,2819,3668,3188,2474,2090,2053,2076,2152,2449,2853,3438,3548,3392,2926,2392,2336,2249,2407,2653,3286,3891,3982,3692,2937,2533,2451,2463,2570,2892,3706,4247,4358,3812,3224,2640,2547,2601,2764,3732,3886,4239,4282,3772,3147,2794,2638,2661,2731,3008,3703,4131,3957,3616,2957,2628,2543,2414,2520,2816,3568,4207,4031,3521,2920,2585,2420,2454,2559,2766,3412,3958,4124,3638,3029,2595,2931,2404,2597,2783,3644,4242,3838,3221,2664,2393,2252,2105,2339,2606,3385,3715,3362,2581,1971,1629,1338,1182,1085,974,969,860,763,688,661,617,505,440,426,411,352,347,302,287,265,241,194,171,176,159,155,133,135,118,104,92,80,67,85,77]
[234,284,287,357,352,372,425,490,529,589,660,690,691,818,997,1125,1225,1523,1834,2653,3529,3887,3978,2302,2050,2035,2167,2206,2733,3491,3811,3955,3495,2774,2307,2199,2263,2466,2975,3898,4381,4443,3640,2735,2477,2486,2490,2698,3424,4257,4861,4534,3969,3097,2527,2491,2772,2813,3489,5524,4893,4686,3898,3065,2754,2536,2603,2743,3429,4530,4755,4401,3799,3073,2436,2632,2573,2616,3252,4150,4502,4208,3566,2874,2442,2426,2530,2652,3072,3991,4604,4221,3348,2682,2403,2487,2448,2926,3279,4186,4716,4012,3128,2579,2267,2165,2141,2408,3258,4084,4452,3710,2724,1928,1527,1279,1113,1123,988,865,792,795,641,624,565,506,440,421,364,334,333,262,250,244,255,191,196,167,168,129,124,122,111,112,87,74,66,62,49,52]
[196,256,274,253,314,350,384,403,464,478,553,578,692,728,799,829,974,1104,1228,1523,1835,2543,3293,3446,3058,2046,2012,2013,2087,2245,2603,2967,3489,3454,2866,2248,2103,2190,2155,2443,2989,3774,4050,3699,2834,2329,2385,2311,2430,2733,3476,4078,4330,4033,3413,2714,2495,2510,2539,2830,3647,4281,5295,4070,3121,2642,2657,2598,2648,2916,3678,4324,4133,3770,3134,2757,2474,2366,2396,2585,3319,3908,3908,3895,3106,2507,2509,2424,2391,2649,3136,3719,4092,3910,3054,2605,2422,2322,2349,3129,3348,3793,3983,3297,2677,2133,2013,2137,2110,2476,3361,3872,3723,3104,2218,1573,1274,1164,1010,972,858,750,722,626,636,559,492,479,396,425,364,344,317,261,209,240,272,201,144,147,123,147,104,105,106,98,84,72,61,79]
[208,248,243,283,304,341,340,384,430,497,536,566,650,732,828,870,952,1080,1238,1359,1620,2065,2633,2676,2301,1938,1888,2343,1928,2175,2408,2522,2792,2827,2517,2281,2107,2086,2125,2336,2732,2879,3126,3129,2718,2427,2352,2281,2333,2544,2818,3117,3199,3422,2970,2536,2426,2472,2425,2597,2866,3173,3542,3383,2976,3153,2509,2487,2538,2590,3022,3194,3185,3233,2844,2461,2362,2201,2471,2504,2869,3230,3235,3225,2777,2403,2357,2306,2337,2449,2786,3082,3239,3087,2752,2370,2269,2331,2259,2506,2648,3018,3538,2758,2417,2164,2079,1999,1999,2178,2444,2756,2705,2493,1752,1483,1337,1153,1038,964,833,768,770,654,636,535,508,458,392,403,318,301,289,274,270,210,180,205,184,202,108,124,120,112,98,89,83,69,62,65]
[198,198,244,281,307,332,361,395,460,513,516,564,614,696,826,844,1017,1067,1177,1302,1456,1699,2082,2112,1919,1861,1920,1965,2007,2054,2653,2383,2442,2433,2269,2186,2143,2235,2180,2186,2403,2509,2568,2609,2449,2325,2237,2283,2314,2448,2616,2679,2874,2793,2658,2448,2415,2326,2331,2396,2585,2778,2817,2850,2612,2443,2541,3016,2437,2539,2618,2692,2790,2716,2531,2355,2390,2258,2420,2540,2483,2696,2733,2771,2601,2429,2394,2448,2467,2519,2574,2654,2641,2687,2477,2297,2299,2242,2253,2268,2454,2533,2581,2428,2264,2625,2028,1909,1979,2052,2177,2087,2084,1869,1529,1420,1287,1092,989,941,865,763,700,644,608,554,476,428,438,385,337,288,299,266,237,223,209,199,157,157,137,130,137,111,102,82,87,74,62,56]
[202,214,240,249,297,323,335,403,426,470,504,569,636,673,784,912,978,1032,1229,1273,1427,1668,1813,1914,1748,1776,1897,1843,1882,1913,2118,2165,2274,2671,2148,2066,1981,2095,2149,2236,2260,2388,2528,2529,2341,2230,2205,2220,2250,2330,2499,2502,2547,2569,2452,2304,2295,2247,2224,2427,2496,2652,2575,2691,2528,2446,2330,2478,2350,2410,2936,2565,2470,2452,2481,2404,2234,2263,2331,2360,2475,2527,2497,2449,2394,2363,2243,2241,2281,2482,2384,2509,2518,2391,2420,2367,2166,2174,2231,2298,2336,2291,2293,2313,2176,2061,2008,2003,2226,1996,2072,1941,1880,1711,1532,1392,1240,1161,982,902,858,692,703,656,596,533,472,481,390,362,361,320,301,293,233,240,220,202,182,146,147,149,108,119,106,109,88,91,68,56]
[216,196,251,282,271,334,364,407,411,479,491,528,577,683,777,833,989,1061,1127,1291,1448,1672,1788,1833,1793,1785,1901,1877,1912,1979,2105,2153,2154,2186,2187,2071,2375,1934,2125,2100,2293,2462,2510,2451,2468,2194,2118,2288,2321,2286,2393,2487,2579,2553,2402,2269,2173,2235,2192,2362,2415,2601,2588,2650,2480,2350,2426,2351,2284,2396,2526,2535,2648,3002,2435,2313,2243,2306,2313,2301,2468,2606,2603,2508,2420,2298,2224,2278,2266,2394,2403,2617,2535,2621,2390,2323,2164,2210,2097,2287,2303,2346,2340,2348,2241,2121,2144,1922,1950,1916,2409,1950,1848,1770,1531,1417,1211,1123,915,894,843,732,661,581,576,522,447,459,389,409,362,346,310,283,244,253,220,182,162,157,162,135,112,132,94,81,82,80,79,56]
[212,216,290,271,300,339,359,406,426,445,506,541,584,651,715,859,924,1041,1208,1306,1539,1735,1969,1934,1757,1798,1814,1890,1906,2045,2119,2277,2364,2167,2104,2010,2038,2038,2081,2733,2350,2609,2643,2474,2345,2235,2179,2259,2335,2383,2448,2604,2698,2595,2486,2252,2232,2241,2187,2427,2493,2594,2661,2553,2435,2311,2292,2232,2412,2502,2564,2550,2663,2610,2449,2263,2732,2294,2328,2459,2645,2655,2703,2597,2501,2325,2276,2327,2199,2438,2594,2732,2738,2632,2493,2285,2255,2206,2107,2225,2311,2542,2494,2419,2220,2010,2050,1996,1988,2000,1938,2120,2055,2194,1589,1380,1213,1071,1015,922,832,782,687,667,575,533,476,446,407,356,337,364,278,292,261,220,200,194,162,164,151,115,134,96,96,100,81,74,69,64]
[191,207,235,268,337,321,340,367,452,473,474,539,630,703,757,840,902,1097,1199,1456,1647,1894,1936,1935,1782,1766,1879,1928,1979,1986,2219,2428,2375,2188,2186,1925,2078,2063,2135,2319,2537,2636,3372,2691,2438,2331,2312,2196,2302,2314,2581,2637,2746,2594,2403,2329,2238,2208,2195,2354,2400,2632,2704,2651,2434,2294,2216,2252,2294,2470,2529,2736,2774,2664,2368,2345,2319,2255,2348,2949,2609,2787,2823,2470,2396,2301,2287,2337,2351,2562,2751,2966,2916,2645,2472,2401,2256,2131,2250,2295,2410,2641,2521,2444,2288,2143,2091,2007,2117,2128,2338,2297,2217,1877,1704,1471,1575,1091,1054,915,824,771,699,692,634,511,489,431,431,405,344,343,263,268,258,227,178,184,155,182,134,140,125,112,97,105,62,66,57,53]
[236,218,250,235,251,299,351,470,418,419,478,595,612,701,721,845,995,1130,1322,1486,1819,2186,2369,2303,2025,1849,1791,1833,1963,2021,2376,2638,2840,2557,2197,1934,2019,2054,2148,2356,2704,3151,3164,2850,2675,2892,2343,2411,2338,2483,2846,3212,3212,2883,2567,2385,2205,2370,2267,2463,2716,2966,3066,2827,2499,2310,2224,2258,2329,2537,2856,3281,3312,3001,2549,2415,2244,2339,2514,2686,3005,3376,4065,2856,2606,2439,2344,2355,2350,2735,3196,3399,3556,3140,2616,2332,2214,2211,2188,2452,2604,2983,2994,2792,2278,2104,2023,2044,2107,2210,2527,2842,2643,2245,1699,1541,1329,1186,1111,1194,856,741,722,651,590,545,479,447,391,368,319,305,259,274,253,226,190,201,157,159,138,122,131,110,92,93,90,82,74,59]
[184,203,235,240,271,315,331,348,400,444,554,540,622,617,744,858,916,1041,1318,1607,2118,2784,3036,3092,2335,1907,1747,1867,1933,2225,2827,3170,3408,3302,2733,2014,1901,2009,2104,2480,3184,3902,4019,3584,2889,2430,2412,2368,2834,2605,3311,3914,3883,3396,2858,2227,2231,2189,2330,2471,2959,3686,3923,3340,2687,2322,2205,2323,2311,2647,3470,4215,4344,3493,2843,2379,2341,2323,2427,2704,3599,4222,4160,3741,3057,3023,2269,2274,2525,2944,3792,4652,4759,4018,3113,2336,2242,2076,2288,2576,3056,3640,3715,3204,2555,2186,1974,2036,2159,2307,3268,3956,3620,2871,2144,1563,1335,1245,1073,981,918,809,828,638,588,547,526,444,379,348,375,320,279,242,240,229,212,163,172,164,159,131,118,112,112,78,99,76,63,74]
[198,225,222,261,265,279,353,379,401,442,440,526,623,846,746,823,906,1028,1235,1561,2338,3214,3546,3527,2462,1900,1800,1868,1935,2299,2934,3717,3997,3846,3045,2288,1983,1946,2143,2566,3475,4355,4633,4071,3193,2536,2380,2319,2447,2681,3374,5065,4234,3824,2754,2391,2172,2110,2176,2460,3201,4043,4232,3482,2745,2220,2320,2207,2343,2646,3669,4662,4724,3972,3047,2442,2229,2257,2407,2816,3665,4677,4607,4096,3101,2513,2252,2283,2942,3200,4381,5310,5423,4541,3388,2500,2174,2134,2211,2569,3425,4263,4500,3688,2570,2127,1983,1986,2187,2565,3670,4532,4092,3280,2366,1567,1329,1154,1025,924,847,779,709,639,597,686,459,438,398,380,350,300,326,250,243,217,201,205,152,154,146,124,125,90,98,75,94,84,62,64]
[203,227,247,255,276,262,343,358,381,437,448,515,549,605,727,752,1031,1021,1099,1402,1865,2664,3099,3092,2478,1854,1637,1755,1886,2079,2481,3057,3231,3264,2821,2181,1943,1880,1920,2190,2793,3432,3752,3705,3054,2384,2212,2303,2214,2471,2810,3498,3450,3899,2726,2242,2070,2015,2081,2383,2870,3337,3458,3074,2543,2146,2177,2257,2196,2474,3210,3739,3789,3523,2782,2362,2177,2133,2240,2576,3389,3936,3754,3539,3022,2517,2192,2195,2233,2562,3401,5089,4316,3946,3087,2312,2086,2139,2047,2350,2953,3425,3596,3392,2581,1984,1944,1873,1926,2235,3129,3564,3612,3149,2281,1607,1301,1145,992,871,852,754,658,590,559,548,455,417,457,345,324,291,296,268,282,234,193,195,177,160,148,140,98,95,111,84,101,76,61,67]
[175,189,225,272,261,274,296,343,383,439,488,505,554,621,681,756,859,932,1050,1436,1621,1867,2345,2431,2090,1753,1704,1629,1825,1886,2073,2292,2450,2522,2209,1834,1849,1783,1886,2060,2333,2727,2765,2902,2481,2199,2091,2217,2123,2274,2453,2601,2597,2668,2308,2154,1929,2517,2070,2242,2338,2439,2627,2676,2381,2129,2136,2084,2101,2242,2694,2779,2866,2904,2499,2152,2192,2150,2144,2308,2676,3032,2870,3073,2577,2204,2172,2082,2084,2320,2600,2904,3074,3259,3264,2212,2070,2032,2040,2202,2370,2609,2654,2581,2158,1894,1904,1802,1849,1983,2250,2462,2436,2165,1742,1266,1251,1038,966,885,820,688,625,539,507,481,429,395,396,372,328,338,274,240,254,230,203,185,188,148,125,123,101,103,95,75,90,53,88,56]
[188,209,224,228,253,298,289,328,379,397,437,477,520,620,625,747,811,936,1075,1117,1290,1512,2097,1827,1684,1597,1607,1624,1586,1755,1897,1886,2112,1997,1865,1724,1683,1751,1827,1995,2096,2215,2423,2446,2177,2076,2038,2064,2014,2063,2083,2276,2345,2280,2022,2043,2043,2079,2000,2544,2117,2259,2297,2275,2060,2035,1980,2086,2141,2182,2286,2309,2425,2323,2150,2102,2002,2111,2068,2195,2322,2354,2430,2503,2164,2068,2019,2083,2049,2148,2348,2423,2633,2578,2059,1927,1932,2343,1874,2065,2066,2217,2135,2117,1851,1796,1766,1680,1757,1763,1889,1936,1869,1683,1449,1279,1151,1016,975,779,759,678,619,560,523,498,420,414,374,348,320,331,247,250,275,214,204,212,166,150,133,123,123,104,87,79,62,68,76,52]
[203,215,211,216,247,292,348,302,351,385,402,449,501,560,646,670,880,952,1041,1132,1208,1372,1590,1605,1511,1820,1591,1628,1601,1663,1826,1789,1860,1848,1684,1629,1712,1685,1773,1813,1992,2094,2143,2197,1993,1952,1929,1941,1931,1966,2037,2162,2113,2085,1925,1885,1919,1912,1865,2011,2074,2041,2567,2056,2049,1888,1966,1908,1978,2010,2101,2096,2132,2081,1990,1998,1933,2004,2036,2137,2156,2153,2185,2123,2057,1939,1972,2032,2041,2048,2117,2162,2213,2166,1942,1852,1847,1802,1801,1906,2362,1953,1954,1792,1788,1823,1675,1650,1757,1683,1730,1691,1618,1451,1267,1190,1055,962,903,780,686,642,599,564,459,445,421,391,369,318,325,284,301,265,218,207,205,227,166,164,135,134,140,102,95,95,73,53,73,55]
[193,212,211,211,237,236,301,323,354,370,365,447,489,538,591,647,769,908,975,1116,1240,1420,1535,1520,1484,1458,1567,1615,1975,1603,1638,1674,1723,1704,1656,1604,1663,1682,1683,1764,1896,2028,2071,1997,1931,1813,1949,1907,1902,1899,1940,2030,1953,1992,1976,1757,1811,1783,1882,1939,2014,2103,2049,1993,1907,2281,1864,1825,1820,1895,1990,2086,2012,1953,1894,1957,1887,1893,1874,1874,1973,2181,2149,2017,1866,1863,1822,1873,1896,1900,1972,2125,2075,1970,2015,1806,1701,1666,1724,1831,1750,1895,1905,2204,1741,1645,1590,1586,1609,1604,1586,1603,1581,1399,1211,1189,969,901,841,718,697,653,592,526,456,387,409,413,334,326,285,277,262,230,212,212,211,202,190,138,162,138,144,94,76,94,95,75,61,59]
[207,206,238,226,231,285,287,368,352,390,431,448,503,590,665,769,888,940,1148,1320,1500,1559,1536,1421,1435,1567,1561,1569,1584,2032,1672,1674,1676,1638,1528,1561,1510,1640,1684,1932,2055,2046,1899,1854,1831,1755,1809,1806,1907,1965,2043,1994,2006,1923,1737,1732,1827,1799,1939,2070,2170,2062,2050,1929,1824,1775,2077,1813,1907,2024,2009,2030,1995,1880,1851,1820,1777,1809,1983,2082,2083,2180,2025,1977,1913,1672,1718,1924,1902,2000,1997,2096,1968,1815,1796,1703,1755,1656,1686,1899,1828,1808,1746,1668,1703,1512,1488,1514,1510,1561,1539,1631,1414,1199,1113,984,912,776,723,656,639,559,531,478,407,397,395,317,312,298,269,233,229,242,208,207,182,177,132,123,109,126,109,101,88,82,75,66,56,62]
[164,174,183,203,249,238,252,301,340,382,381,436,457,492,559,654,767,853,988,1178,1372,1619,1661,1639,1459,1473,1437,1548,1514,1575,1798,1843,2197,1783,1630,1485,1557,1547,1550,1735,1980,2151,2182,2005,1806,1753,1726,1699,1838,1843,2023,2164,2189,2048,1893,1811,1697,1687,1798,1963,2200,2321,2342,2147,2032,1776,1732,1656,1765,2297,2028,2165,2157,2030,1922,1750,1782,1707,1848,1962,2092,2072,2183,2057,1900,1802,1691,1691,1798,1814,1886,2105,1973,1889,1823,1685,1693,1622,1614,1664,1777,1893,1844,1755,1686,1522,1816,1470,1527,1513,1738,1778,1648,1504,1297,1052,921,850,816,690,649,628,550,532,464,465,439,377,338,316,300,264,270,242,228,208,192,166,165,155,160,140,116,82,119,88,68,77,60,61]
[136,170,195,216,228,243,251,283,291,361,377,425,417,480,484,625,713,801,961,1123,1504,1805,1947,1818,1638,1548,1526,1424,1447,1569,1955,2236,2235,2108,1664,1794,1422,1368,1584,1659,2116,2492,2455,2276,1925,1753,1687,1630,1726,1830,2092,2432,2558,2120,1880,1712,1691,1666,1649,1940,2348,2777,2877,2428,2008,1711,1688,1733,1703,1809,2154,2561,3193,2243,1975,1735,1718,1614,1804,1913,2299,2627,2666,2287,1920,1724,1635,1612,1668,1829,2159,2408,2569,2186,1840,1692,1613,1535,1632,1621,1860,2149,2323,1957,1546,1479,1422,1438,1524,1902,1890,1960,1922,1551,1284,1038,922,861,753,674,655,612,543,531,491,435,429,408,331,332,312,270,248,246,208,198,180,190,153,139,120,132,110,104,93,81,76,84,51,54]
[197,191,172,198,239,254,266,258,308,304,337,386,418,409,517,583,674,813,912,1230,1616,2406,2757,2470,1840,1542,1510,1444,1547,1651,2254,2753,3119,2675,1841,1449,1394,1435,1818,1907,2446,3252,3294,2809,2098,1624,1667,1565,1696,1937,2561,3520,3662,2626,2009,1649,1592,1550,1692,2091,2824,3905,3949,3290,2236,1829,1628,1621,1698,1943,2562,3425,3636,3032,2145,1997,1609,1608,1729,1972,2806,3649,3647,2827,1980,1690,1622,1616,1693,1914,2482,3124,3102,2361,1863,1536,1522,1498,1526,1625,2183,2788,2704,2175,1613,1462,1395,1342,1519,1716,2239,2810,3013,1819,1305,1038,866,827,691,676,625,594,585,523,479,460,410,349,318,293,313,251,240,225,229,191,172,159,149,122,122,140,110,105,108,82,71,59,69,65]
[139,163,174,212,200,215,248,264,268,300,301,370,386,421,493,555,632,712,804,1098,1594,2443,3092,2983,1943,1448,1405,1444,1397,1521,2224,3101,3311,2953,2009,1479,1278,1359,1320,1663,2327,4127,3586,2934,2024,1561,1477,1430,1625,1770,2728,3658,3820,3019,2092,1632,1514,1433,1526,1954,2829,3779,4181,3531,2524,1784,1496,1525,1602,1843,2636,3533,3810,3117,2196,1632,1525,1413,1930,1903,2738,3793,3621,2976,2008,1606,1483,1477,1522,1776,2468,3102,3312,2563,1894,1469,1425,1362,1457,1588,2228,2906,3008,2329,1610,1295,1264,1296,1379,1602,2289,3206,3137,2266,1601,1314,845,770,737,648,603,534,496,456,447,421,393,353,362,268,290,275,251,229,211,201,175,170,133,121,136,108,127,98,103,74,83,65,53,63]
[143,141,157,185,179,197,269,256,253,295,332,333,391,422,468,533,559,632,748,919,1272,1822,2317,2261,1579,1334,1312,1270,1397,1482,1793,2314,2427,2292,1793,1329,1192,1167,1280,1381,1843,2514,2666,3069,1974,1460,1363,1353,1480,1645,2170,2854,2889,2440,1828,1419,1412,1441,1484,1687,2220,2685,2842,2826,2140,1623,1473,1415,1494,1621,2030,2703,2810,2588,1890,1460,1374,1407,1391,1551,2097,3168,2529,2367,1794,1500,1349,1370,1454,1580,1928,2274,2255,2016,1609,1368,1283,1290,1332,1456,1876,2226,2307,1852,1476,1328,1217,1142,1244,1426,2105,2431,2443,1948,1363,971,823,677,745,647,607,500,540,470,387,393,361,351,332,304,283,266,221,220,204,198,175,153,137,150,130,116,94,100,87,92,69,73,57,48]
[159,150,178,180,198,201,204,251,243,334,275,355,357,365,409,483,522,533,661,790,925,1192,1524,1623,1417,1217,1214,1211,1219,1241,1392,1406,1624,1641,1404,1042,1074,1068,1090,1152,1357,1527,1538,1743,1550,1228,1552,1237,1225,1472,1672,1857,1774,1826,1465,1265,1310,1294,1293,1312,1484,1585,1660,1861,1651,1390,1346,1322,1326,1391,1543,1577,1754,1693,1469,1283,1256,1261,1303,1396,1641,1615,1575,1641,1838,1200,1201,1298,1360,1313,1461,1526,1515,1484,1410,1251,1210,1146,1232,1225,1403,1472,1485,1324,1179,1068,1052,1088,1206,1157,1425,1442,1474,1319,1031,802,740,659,617,604,578,622,478,431,403,377,348,343,318,280,261,255,220,220,216,169,178,156,142,150,130,126,105,92,106,68,72,75,61,52]
[144,139,156,178,198,206,229,222,232,292,292,298,395,387,393,432,493,503,590,650,747,906,1102,1153,1082,1146,1046,1058,1009,1054,1110,1194,1252,1233,1140,1003,995,971,1012,1032,1188,1256,1290,1341,1328,1200,1162,1178,1142,1450,1349,1309,1414,1415,1310,1136,1152,1201,1190,1284,1269,1361,1464,1540,1328,1234,1215,1227,1276,1288,1318,1347,1365,1398,1250,1151,1118,1122,1157,1218,1267,1297,1304,1377,1367,1144,1391,1080,1156,1207,1299,1279,1202,1252,1229,1122,1084,1093,1033,1118,1184,1178,1192,1106,1085,1082,996,995,994,1069,1072,1139,1008,1016,814,763,646,576,560,531,521,464,451,423,466,374,307,347,296,312,276,266,211,210,182,170,171,141,146,107,127,119,75,89,84,73,58,71,48,35]
[127,162,188,172,182,199,199,227,236,277,274,287,298,350,386,478,407,479,561,561,634,712,875,977,987,888,1001,993,968,1006,1022,1059,1063,1079,1045,1012,932,907,946,976,1080,1101,1148,1167,1151,1088,1043,1051,1126,1065,1174,1162,1483,1201,1129,1183,1116,1172,1150,1138,1133,1301,1228,1273,1206,1165,1127,1116,1129,1131,1130,1209,1260,1205,1112,1073,1079,1150,1066,1169,1079,1171,1260,1222,1092,1074,1029,1016,1077,1227,1120,1102,1190,1109,1054,1022,1012,959,918,970,1074,1073,1043,981,999,939,949,859,933,909,979,960,933,831,773,626,671,551,511,513,485,449,389,393,363,329,334,353,287,235,222,266,203,176,190,174,161,154,146,121,117,132,103,90,94,63,77,57,47,48]
[159,154,146,178,181,190,182,193,242,212,276,261,306,317,336,354,419,393,598,541,602,680,718,814,814,913,885,911,896,944,980,905,929,967,904,878,867,834,919,891,947,1022,1029,1036,1031,933,1017,1053,994,1039,1054,983,1079,1130,1147,1239,1025,1010,1023,1011,1057,1164,1152,1127,1096,1052,1061,1002,1070,1012,1034,1121,1067,1069,1097,1015,1050,1019,1027,1031,1051,1123,1081,1072,1036,1068,980,989,1018,998,1019,981,1287,971,1018,957,963,968,959,952,957,972,975,937,926,859,867,857,827,835,806,854,780,744,712,670,590,543,556,472,467,408,398,348,356,343,325,308,289,259,296,246,229,184,205,174,165,162,128,123,115,98,101,96,85,80,60,68,58,47]
[119,135,123,157,175,183,180,200,204,234,216,251,282,307,299,371,347,407,442,445,503,732,634,707,780,766,790,788,756,768,791,778,825,771,826,831,787,779,845,849,879,905,930,854,929,996,930,932,970,931,928,1003,1048,990,998,910,976,917,1167,987,973,1002,1028,1011,973,961,969,976,1047,996,986,998,1052,1003,1016,968,951,922,997,951,941,943,997,1005,935,913,909,970,922,932,931,937,921,940,938,1073,902,884,869,861,905,903,857,854,875,845,798,817,739,796,704,716,703,681,630,591,566,525,529,461,436,371,354,346,354,318,308,265,269,243,218,209,220,221,163,177,150,125,137,117,128,91,88,89,69,73,64,66,47,48]
[153,137,132,165,156,201,178,210,215,224,249,249,249,268,292,309,349,379,401,411,484,522,541,581,720,655,633,577,676,711,724,701,702,720,665,771,696,731,786,814,786,819,812,846,791,810,773,809,858,887,896,925,913,879,874,885,841,811,857,891,900,1036,916,908,870,903,871,917,954,896,937,915,903,904,879,885,894,917,878,904,938,851,866,887,924,926,871,877,873,910,863,856,889,872,838,803,876,838,950,832,819,762,806,761,793,684,752,693,699,682,671,694,636,610,595,544,506,511,431,426,395,400,359,337,331,289,300,281,233,257,204,198,195,174,163,198,157,140,111,113,111,101,90,95,81,68,65,68,58,42]
[114,138,136,151,141,178,182,210,197,186,213,251,247,248,290,294,286,333,342,424,434,434,499,508,506,538,635,593,587,645,743,640,702,677,690,668,663,689,716,736,715,804,838,753,743,714,765,725,782,793,812,796,849,868,844,829,817,815,757,842,856,879,907,867,1005,845,817,890,838,837,858,913,874,811,875,815,818,851,850,829,865,811,877,825,860,828,806,782,777,805,832,788,817,830,784,772,762,748,742,760,743,949,733,742,653,680,692,628,605,610,606,672,580,565,569,541,474,445,461,434,391,331,361,342,302,314,251,237,231,231,218,176,192,197,168,136,127,129,155,114,101,101,83,82,71,80,79,61,44,43]
[95,117,144,153,130,180,169,165,196,170,219,223,235,237,259,247,287,332,346,389,424,391,425,458,479,455,505,506,511,706,572,626,609,638,563,568,613,604,650,674,707,688,716,721,632,676,691,639,703,746,741,812,781,777,688,706,736,739,724,750,773,811,805,811,755,754,753,894,788,806,771,847,784,794,771,779,708,715,783,754,828,795,794,775,825,728,796,717,755,728,781,752,789,711,701,690,668,718,627,724,787,657,679,634,748,613,613,637,594,621,632,560,560,503,543,483,491,426,396,411,398,349,335,353,308,257,236,239,215,222,206,187,182,180,164,142,148,132,131,105,107,87,77,86,74,57,72,60,57,43]
[123,116,121,142,144,130,175,187,186,178,191,238,221,233,286,290,271,325,293,335,346,411,422,415,397,433,475,505,462,494,530,515,654,560,532,572,525,577,591,573,633,643,678,645,621,637,614,648,607,706,644,682,660,679,717,649,713,655,657,724,762,807,789,737,719,770,701,737,733,889,784,737,755,739,679,704,701,729,682,733,774,777,684,766,727,716,662,712,643,690,685,720,697,691,659,661,637,646,599,639,624,659,688,575,586,597,605,672,548,513,490,506,474,486,450,466,365,412,421,385,371,366,327,328,311,251,275,215,215,211,185,178,155,128,150,133,148,112,124,105,93,98,81,79,84,71,62,52,48,42]
[92,129,129,136,126,152,145,189,162,170,182,203,251,233,220,276,262,282,305,302,344,371,335,356,389,422,452,393,446,461,476,527,540,549,561,654,483,544,553,571,588,585,607,596,585,607,581,630,586,617,641,691,642,709,606,597,612,689,661,665,697,648,701,695,704,643,673,692,641,640,679,728,851,717,650,718,680,684,647,671,685,671,708,655,655,677,635,570,699,660,629,652,603,646,640,600,635,667,591,621,623,592,586,562,567,559,521,506,523,592,507,514,491,435,428,409,393,350,363,340,329,301,322,291,262,270,258,232,221,210,188,175,170,155,155,143,137,130,121,121,77,89,75,64,64,68,77,58,46,40]
[117,128,113,132,152,139,164,157,190,178,185,239,221,233,219,262,223,282,256,302,295,359,374,342,362,365,413,394,429,420,460,399,502,517,449,475,599,556,502,568,562,583,541,566,557,577,542,538,554,595,629,550,584,611,621,582,604,581,631,582,618,635,653,596,603,598,602,634,619,637,586,635,624,748,599,575,622,574,658,617,614,615,586,598,603,595,590,553,587,586,627,619,590,584,541,594,598,504,578,571,607,543,537,482,493,461,472,478,441,469,518,434,383,403,375,325,344,335,330,295,306,276,271,273,231,232,200,220,187,191,191,176,169,140,147,118,100,111,106,89,73,62,72,49,62,48,53,54,53,30]
[101,107,126,125,135,131,127,140,147,184,157,210,201,178,203,224,217,197,251,278,284,297,322,329,310,358,355,352,384,358,385,433,454,433,450,439,455,457,430,606,497,519,484,495,491,499,495,504,514,525,578,553,598,573,585,541,571,542,529,553,567,544,634,567,581,572,669,558,554,573,600,596,612,564,561,569,724,617,620,558,608,577,572,563,570,561,592,549,544,600,509,573,551,514,570,532,524,518,494,532,504,497,528,485,460,479,455,424,448,433,439,430,388,447,353,364,301,309,323,302,302,281,262,228,240,277,206,206,198,193,182,158,150,154,137,96,114,135,119,92,83,93,71,67,48,66,62,52,48,47]
[112,122,125,115,141,123,144,152,135,157,201,187,188,181,192,203,212,217,251,249,268,275,286,284,265,285,301,311,330,364,357,362,381,425,374,414,444,420,411,410,429,441,564,504,468,466,495,506,499,519,479,529,541,526,514,518,508,469,509,538,531,538,545,584,530,495,513,546,500,544,566,551,534,549,511,539,523,503,566,662,537,524,537,478,512,521,559,451,467,545,541,539,520,529,470,490,408,485,438,478,472,491,476,461,425,430,364,389,374,386,374,407,354,343,356,333,340,282,284,256,285,277,262,220,207,190,219,207,182,189,146,185,141,141,107,134,113,116,98,90,78,79,92,51,62,58,53,58,46,48]
[101,106,115,123,112,142,126,172,129,165,165,170,172,185,188,195,176,200,218,214,250,268,249,256,278,265,275,348,323,336,345,357,357,362,368,392,361,382,367,413,412,405,449,437,393,544,418,420,443,479,494,462,494,484,480,479,482,524,459,464,520,556,522,516,493,485,536,480,477,508,487,550,536,527,471,496,512,491,489,491,524,472,603,546,482,444,450,463,436,493,452,511,486,477,443,432,423,426,441,467,440,417,435,438,393,384,349,383,363,373,386,344,328,333,337,267,311,282,275,337,293,253,228,233,221,209,188,184,181,167,165,153,151,138,149,109,93,86,98,79,68,81,85,70,50,55,58,48,38,44]
[94,84,98,107,113,119,129,126,155,149,181,169,159,174,155,182,217,221,206,180,236,219,234,253,256,272,273,290,283,267,263,347,319,395,339,323,345,337,372,381,357,413,415,397,411,399,401,508,374,425,444,445,474,452,464,455,479,452,448,442,476,431,508,500,460,462,435,438,477,473,432,456,491,485,474,444,424,455,448,453,481,483,449,434,467,539,462,424,434,437,450,441,448,420,393,444,409,401,398,397,406,399,403,400,377,351,361,333,314,310,332,331,330,302,282,277,264,245,259,236,236,239,264,226,191,209,182,162,184,167,170,135,126,115,143,112,96,97,89,84,88,68,77,59,67,47,46,63,34,40]
[69,101,109,103,113,115,109,128,143,130,127,154,138,187,157,173,198,165,198,221,229,175,219,251,233,238,235,266,267,243,279,336,287,298,329,305,303,308,323,285,364,358,349,372,377,379,341,380,413,368,478,410,408,460,416,439,386,432,375,403,440,457,419,447,440,442,444,449,439,436,442,458,444,437,445,425,448,423,435,466,414,435,420,452,406,405,395,353,492,399,400,419,415,469,401,398,391,368,369,411,360,351,390,371,378,372,328,345,308,303,289,308,293,311,300,271,267,229,235,248,213,232,186,191,184,230,160,175,168,155,159,147,129,125,103,120,117,96,81,73,57,73,71,68,53,53,45,57,29,43]
[77,87,81,90,104,106,113,118,114,120,120,105,131,145,136,171,171,167,188,159,162,205,226,200,228,202,210,256,257,249,269,264,274,299,292,282,324,309,303,328,321,357,318,377,330,378,338,358,337,367,355,388,358,491,377,378,352,367,377,409,388,351,384,396,405,358,377,371,414,414,364,387,367,389,392,399,401,412,390,389,404,414,404,397,363,361,422,391,386,384,386,480,403,360,387,347,375,352,366,315,361,335,310,328,327,314,303,308,305,278,254,275,282,286,262,244,270,217,205,204,220,194,185,209,190,195,158,151,192,148,177,134,121,149,110,113,101,88,77,66,72,76,77,53,55,53,48,51,32,48]
[90,81,81,87,106,103,102,121,100,115,117,122,124,128,136,130,154,161,161,182,198,181,178,191,192,206,233,232,241,241,256,268,247,236,258,273,251,257,273,307,306,300,304,292,312,306,330,324,354,333,350,346,358,355,327,341,382,315,400,359,367,377,349,382,356,343,395,364,354,370,374,366,373,391,385,353,351,351,376,362,347,346,366,345,339,336,389,366,334,338,347,356,331,364,430,315,283,309,298,346,295,310,310,250,322,284,270,267,280,242,247,227,241,225,247,225,231,226,200,185,199,189,177,174,166,161,149,151,148,136,151,149,106,125,95,95,93,91,97,82,56,59,61,69,62,44,36,45,42,44]
[89,86,77,96,104,91,89,115,131,105,126,97,125,128,140,146,139,160,140,170,166,206,202,173,177,188,206,214,242,223,236,222,252,261,252,248,250,248,262,289,274,283,285,273,293,286,336,301,316,291,319,320,322,340,329,316,351,367,369,416,353,380,363,348,327,305,355,323,345,337,333,340,351,370,343,343,368,339,350,338,336,358,332,350,359,318,335,314,335,323,319,300,337,290,313,288,310,362,303,279,300,276,273,244,281,248,296,235,276,255,249,248,231,200,189,223,209,202,166,191,170,148,169,200,158,129,165,148,152,117,132,117,99,111,94,93,83,83,66,60,80,69,50,45,56,48,47,36,35,33]
[83,75,88,94,104,84,74,82,98,106,121,109,108,119,123,124,125,136,133,157,133,178,156,176,203,211,169,188,182,175,232,209,218,209,223,241,223,221,248,223,258,237,299,280,270,261,322,274,278,293,286,318,279,306,311,316,326,298,294,297,303,318,371,297,298,303,329,332,317,298,290,334,335,313,319,337,326,304,340,303,312,318,305,321,313,278,284,329,279,341,300,299,270,290,299,315,262,277,250,253,316,254,271,260,238,251,222,232,225,223,245,199,196,174,183,168,185,192,177,165,171,150,157,144,132,147,144,121,125,114,114,99,128,109,105,85,90,88,78,64,79,61,46,46,48,40,39,31,31,38]
[57,76,83,71,94,96,97,84,102,106,107,92,107,94,113,133,135,158,146,108,156,146,173,140,190,176,201,204,234,202,190,196,190,211,200,202,242,217,236,247,221,249,235,238,276,251,254,273,291,291,263,269,279,277,266,273,297,297,294,290,295,316,301,293,285,362,310,321,323,336,321,304,293,265,279,304,292,297,299,265,316,304,296,279,275,303,280,294,268,288,284,270,284,258,244,266,240,249,248,252,260,254,239,276,215,214,225,244,227,221,211,214,213,148,160,177,191,174,168,178,157,147,148,138,156,142,127,116,121,129,100,104,90,121,83,95,80,69,81,62,69,49,45,45,50,46,36,36,35,30]
[64,73,68,75,81,72,93,85,99,74,94,101,93,108,100,134,125,138,108,146,135,145,139,169,151,153,171,151,181,193,170,223,220,201,185,200,203,243,224,229,214,235,233,225,244,215,240,267,259,254,281,265,223,277,260,260,294,325,297,300,307,277,289,279,275,248,276,264,333,303,262,294,298,276,283,294,276,267,266,268,269,271,272,273,261,251,249,250,277,265,260,265,253,259,249,240,261,234,240,229,248,206,223,211,229,283,198,179,197,175,182,184,189,161,172,184,184,161,159,155,125,171,128,134,116,103,116,110,133,105,112,97,101,82,67,97,77,71,73,50,61,53,37,46,43,40,38,46,33,31]
[68,66,64,61,77,81,72,77,97,93,98,99,90,89,107,112,123,128,131,119,124,132,148,142,146,149,130,157,157,158,179,176,194,184,214,198,171,199,213,208,228,180,188,218,228,231,226,236,237,244,250,245,255,230,213,230,259,234,258,263,267,271,282,244,248,237,242,254,228,249,268,327,258,261,274,225,218,233,264,265,270,269,239,247,238,252,220,225,233,245,250,227,241,232,242,218,218,224,213,221,224,213,209,185,212,201,185,193,217,183,165,160,159,164,169,148,147,153,152,145,126,133,130,126,126,137,112,95,85,116,94,96,85,82,91,89,81,49,67,72,65,44,49,52,54,32,36,26,26,27]
[65,59,70,70,64,85,83,83,80,75,90,81,84,86,81,88,106,117,118,109,112,126,119,105,133,140,131,142,137,163,167,161,162,163,196,195,218,184,202,179,213,212,205,207,196,223,202,208,216,251,229,228,249,207,219,235,237,232,229,220,240,245,254,211,237,227,244,224,239,248,253,244,260,251,296,226,236,244,228,244,211,205,233,221,220,229,241,241,221,204,236,224,225,221,222,181,208,216,198,184,195,198,178,182,169,201,179,147,172,168,167,192,154,154,142,157,131,135,142,135,120,131,114,113,96,112,92,86,98,85,93,77,80,69,68,67,88,58,57,59,44,55,50,44,39,37,35,38,28,24]
[60,65,83,65,59,51,82,88,77,81,96,81,86,80,88,71,103,109,83,123,108,120,113,97,122,103,124,124,138,150,140,160,146,171,137,167,173,155,152,221,179,160,169,202,196,218,173,218,205,199,200,217,220,231,234,202,206,208,231,192,218,215,213,199,211,220,244,204,212,227,220,222,219,194,223,217,226,240,204,216,228,227,229,189,199,223,210,211,208,196,187,189,180,178,200,178,166,170,192,174,164,172,190,179,172,169,143,147,170,140,149,140,139,166,157,149,140,114,123,124,120,127,122,100,95,94,102,92,78,100,76,90,76,72,80,67,49,57,58,52,60,37,48,42,35,43,40,21,25,29]
[65,52,56,61,52,68,56,72,53,79,85,78,75,93,90,92,89,100,98,99,127,105,112,130,122,112,108,124,149,124,133,141,154,139,156,166,168,173,180,153,157,163,216,178,163,183,188,186,179,203,193,191,167,205,196,226,155,195,185,210,229,218,199,207,178,230,210,164,215,212,231,214,230,234,206,222,193,200,195,175,255,227,207,190,175,210,205,200,161,159,202,190,170,168,152,167,160,157,154,173,159,170,165,156,150,136,160,144,157,157,133,131,119,126,121,132,105,141,118,92,112,110,103,108,93,118,94,84,93,86,98,88,76,77,65,70,55,52,47,49,44,52,38,35,36,27,34,33,32,27]
[61,65,53,61,55,61,60,74,82,69,77,78,79,86,98,99,74,91,77,102,93,83,95,97,99,121,125,110,128,123,132,121,124,123,124,138,146,163,142,161,140,152,157,166,162,221,155,191,192,176,183,194,193,189,195,183,141,183,160,183,208,189,194,193,193,178,184,193,203,154,213,189,186,196,205,210,172,184,195,193,180,185,157,223,191,197,197,170,189,161,170,181,173,165,171,165,143,156,133,147,143,143,162,137,157,124,130,124,138,123,145,112,101,118,115,115,96,95,109,112,141,99,99,77,90,80,74,82,74,64,66,59,70,53,56,46,49,76,66,46,33,43,36,40,36,28,37,32,21,20]

{"sheet":"Figure_1D_layer_19","index":19,"n_rows":150,"n_cols":150,"rows_kept":150}
[16,50,28,20,34,22,34,34,34,42,88,50,60,98,94,92,163,84,240,202,212,209,194,253,308,324,247,285,268,352,293,409,390,344,403,357,409,393,502,491,494,593,553,492,517,574,506,507,514,502,491,537,586,586,630,637,529,673,678,666,706,677,722,740,692,692,611,736,741,604,690,626,652,785,676,683,711,660,676,804,769,702,762,763,652,810,761,740,766,642,666,740,745,719,659,736,809,748,722,703,728,697,755,720,705,638,625,672,674,636,672,679,724,631,598,609,666,613,562,517,585,490,572,456,527,514,500,461,513,428,376,458,451,413,463,358,373,295,355,351,324,330,337,348,334,297,315,291,226,239]
[14,20,36,20,28,36,46,44,38,28,56,42,54,82,60,96,84,184,191,218,195,230,268,266,256,265,333,251,307,311,385,357,396,417,482,438,441,604,534,564,543,540,472,566,730,578,654,566,601,674,605,653,710,659,655,647,681,702,768,570,711,706,791,613,731,760,800,671,763,701,766,804,833,692,756,805,807,733,843,769,802,758,976,745,647,820,760,728,844,778,639,700,801,780,778,857,688,672,778,734,743,775,794,783,748,730,661,760,717,666,696,673,748,647,606,616,592,608,652,765,645,534,473,568,592,647,538,531,568,472,428,415,486,479,407,370,487,382,332,302,335,274,370,314,280,345,265,234,270,254]
[36,32,30,38,22,32,38,46,48,52,72,72,74,72,74,74,179,178,100,206,212,281,177,285,199,309,342,302,320,339,422,349,410,399,429,445,475,493,504,545,566,580,504,588,568,623,556,695,578,658,613,653,684,740,663,635,666,700,709,696,784,790,762,788,745,731,839,747,854,768,791,896,759,755,837,718,837,753,828,882,788,774,838,859,947,837,777,842,838,767,799,843,774,835,810,831,735,790,807,746,879,851,789,779,801,798,710,686,682,749,763,710,661,733,655,710,687,704,593,652,585,670,706,562,582,604,535,556,519,445,489,481,428,504,490,392,432,369,282,394,328,397,314,342,369,269,225,284,289,279]
[28,42,22,38,22,42,34,38,48,70,54,40,84,80,92,100,176,199,138,241,190,283,262,170,277,300,350,320,369,446,400,392,412,430,512,503,472,550,530,606,539,584,699,560,510,608,678,607,708,684,785,611,716,611,665,780,758,735,821,766,687,782,773,761,742,751,807,815,829,879,831,714,939,906,804,868,933,806,846,834,797,851,946,1059,848,843,864,995,843,794,900,832,872,885,854,868,817,864,899,820,819,900,814,750,778,790,753,703,808,737,767,729,756,719,707,710,664,743,686,590,627,594,623,643,717,532,479,505,577,519,472,573,494,460,416,491,423,414,475,351,365,335,386,381,293,300,314,325,291,307]
[22,36,34,22,28,50,30,52,58,56,84,66,72,86,141,115,187,194,136,247,222,257,230,217,303,336,325,324,367,420,520,401,465,508,443,550,543,584,526,689,614,591,714,737,619,634,718,736,753,760,778,788,790,755,769,745,813,779,799,826,783,879,784,835,883,843,827,1094,899,874,919,943,942,943,956,837,879,1017,884,1001,878,1004,920,927,963,797,851,903,953,951,886,870,876,809,818,823,920,832,917,820,876,905,870,917,877,996,824,798,833,834,839,833,761,750,685,872,785,736,739,629,646,677,652,602,647,619,598,588,605,570,507,454,562,472,477,416,397,438,428,424,403,394,398,402,367,306,246,338,287,294]
[22,32,28,44,24,38,36,30,54,54,48,66,84,78,92,198,169,221,231,187,251,270,308,328,291,315,351,479,345,436,474,426,536,605,611,561,520,609,743,618,621,684,621,676,708,664,785,724,783,811,857,846,818,881,909,866,954,846,850,914,897,905,817,857,894,893,923,900,984,924,1096,985,892,847,873,925,919,913,953,917,954,1048,947,983,980,912,931,977,996,853,1033,944,942,962,982,870,881,979,850,995,786,971,944,872,918,883,776,848,1074,894,779,891,855,782,823,744,839,743,818,732,617,640,673,617,637,546,547,601,543,478,564,525,434,430,484,426,380,440,432,400,410,302,395,358,322,361,256,370,316,315]
[32,38,32,42,30,32,42,42,50,66,70,64,76,116,84,199,207,251,161,260,283,288,319,355,382,382,391,465,358,432,447,540,577,607,583,557,770,696,721,729,641,700,744,715,815,801,746,848,788,784,789,827,917,890,822,940,925,929,1015,917,942,855,1027,926,915,908,881,917,1000,971,1046,989,938,1095,958,1111,993,947,1008,1085,987,876,1068,1000,1036,896,989,1007,1000,1008,972,899,965,952,924,976,884,939,1055,949,916,812,894,867,949,943,894,931,946,977,964,1047,799,819,811,767,729,702,789,678,728,689,733,647,654,661,608,643,502,530,576,572,491,456,497,480,468,390,457,428,461,399,377,285,348,361,350,263,350,302]
[30,22,22,50,38,42,34,50,66,86,48,94,86,116,203,183,167,253,206,269,273,325,370,393,406,366,428,508,488,541,514,607,638,578,614,686,711,683,705,858,714,683,799,834,771,819,781,939,852,837,855,867,931,910,875,936,911,850,1024,1097,865,1081,922,805,984,958,1028,1011,1034,1092,996,1041,1099,959,1100,1007,1204,1089,1034,1089,1114,1021,1086,1044,1089,1102,1036,979,1035,985,1061,948,1042,1095,1053,1111,1108,980,1031,908,933,993,910,985,944,946,951,923,1010,957,950,871,875,884,978,799,825,796,825,741,728,661,774,732,587,632,693,657,608,634,462,581,507,510,515,594,392,399,430,451,397,351,406,323,395,344,340,267,374,254]
[24,42,20,50,60,52,36,42,62,62,90,193,182,190,155,175,124,254,311,314,304,425,290,368,389,445,443,549,496,452,499,555,606,637,765,661,755,679,729,855,759,863,960,847,886,1000,929,917,986,860,981,934,1000,892,924,942,939,994,994,1068,1071,1120,1074,1087,1086,1092,1065,979,1090,1070,1181,1118,1125,1200,1118,1266,1053,1038,1082,1385,1011,1112,1107,1184,1075,995,1108,1120,1038,1036,1045,998,967,1094,1062,1085,1058,1077,1118,990,1077,951,1009,996,1082,1015,996,1034,932,995,1023,964,883,907,827,772,936,861,841,889,802,772,693,888,646,675,708,661,625,598,665,456,559,482,537,438,465,465,400,438,371,442,394,345,334,371,435,369,318,362]
[34,36,16,40,48,44,44,64,50,68,126,96,129,228,190,214,265,282,270,349,301,406,409,450,469,469,419,641,549,529,676,693,709,695,814,692,770,756,774,841,745,826,959,881,944,1067,1005,954,1002,1030,1072,861,995,944,1068,1072,1120,1109,1078,1073,1193,1072,1109,1057,1164,1199,1108,1164,1134,1270,1192,1181,1204,1199,1297,1105,1243,1172,1228,1160,1025,1131,1373,1162,1250,1190,1207,1148,1086,1224,1141,1200,1070,1128,1246,1164,1048,1062,1089,1102,1063,1018,976,1101,1035,1043,938,1133,1014,1015,1068,1059,969,908,963,884,860,886,894,1076,810,867,772,780,634,766,737,709,727,634,606,583,695,586,567,513,462,554,456,492,412,415,436,443,421,343,296,315,321,350]
[26,46,32,20,34,54,56,52,66,72,140,94,143,238,232,196,229,332,347,320,316,376,466,420,462,495,474,556,573,654,665,641,711,767,795,820,827,819,794,895,806,1022,855,924,1060,983,1005,989,1212,1067,1157,1109,1018,938,1183,1055,1087,1151,1188,1191,1164,1267,1152,1202,1199,1228,1180,1269,1237,1293,1221,1281,1187,1275,1164,1338,1312,1190,1215,1247,1181,1201,1289,1149,1148,1376,1209,1087,1242,1199,1322,1243,1168,1263,1215,1135,1152,1203,1172,1215,1123,1032,1052,1137,1103,1120,1172,1102,1063,1019,1011,1116,918,1028,938,989,1000,928,930,903,917,930,963,809,728,718,707,718,686,647,662,554,651,621,533,572,559,483,421,493,444,412,399,424,422,372,401,318,276,335]
[24,22,52,68,36,66,50,52,76,78,109,143,168,212,184,233,313,366,381,385,417,411,382,478,488,501,555,621,704,606,747,760,775,745,791,823,862,881,905,936,860,906,1055,1045,975,1088,1151,1110,1120,1129,1125,1218,1137,1197,1223,1157,1158,1261,1220,1265,1236,1268,1288,1138,1218,1215,1262,1243,1271,1343,1232,1254,1253,1298,1236,1341,1376,1269,1238,1259,1362,1253,1242,1226,1340,1271,1277,1268,1445,1227,1246,1295,1286,1294,1292,1125,1198,1252,1208,1248,1123,1134,1212,1128,1103,1231,1203,1142,1032,1116,1072,1081,1019,1143,1004,1029,1012,962,1005,988,856,941,822,801,831,901,760,755,705,696,735,713,566,597,571,537,550,481,430,441,474,457,362,367,422,342,354,362,354,354]
[24,42,30,44,34,52,26,82,84,98,208,183,199,309,216,295,326,391,373,390,492,414,462,543,536,563,599,714,636,762,772,882,846,880,853,937,893,994,966,994,935,1093,1084,1046,1218,1056,1150,1193,1180,1221,1168,1205,1497,1263,1327,1225,1421,1372,1229,1287,1283,1285,1288,1316,1330,1290,1358,1430,1311,1288,1314,1409,1398,1253,1257,1309,1376,1381,1286,1385,1403,1430,1387,1278,1265,1339,1374,1518,1352,1541,1367,1358,1321,1302,1267,1258,1319,1297,1230,1269,1173,1309,1199,1240,1245,1258,1114,1175,1177,1139,1111,990,1085,1100,1015,1091,948,1000,969,928,820,841,838,845,799,751,951,843,617,607,603,661,634,632,542,508,536,455,487,458,395,382,341,362,380,399,369,266,279,351]
[36,28,54,46,46,56,72,56,82,82,224,181,257,175,312,233,304,422,392,422,443,490,528,544,689,607,673,707,734,771,732,763,922,903,865,935,1013,1025,970,1087,1043,1139,1141,1114,1105,1206,1123,1229,1184,1183,1456,1207,1348,1366,1476,1294,1240,1349,1503,1362,1342,1324,1297,1395,1368,1430,1382,1402,1425,1351,1304,1428,1442,1486,1365,1475,1432,1515,1505,1459,1461,1519,1286,1482,1386,1442,1443,1410,1436,1370,1371,1690,1312,1270,1379,1368,1282,1340,1227,1364,1280,1188,1250,1170,1233,1326,1253,1298,1123,1273,1160,1260,1133,1077,1018,1050,1041,1109,1138,969,885,916,914,854,850,789,713,735,790,858,659,632,627,591,617,613,561,496,517,464,474,538,533,418,417,342,331,325,354,390]
[30,50,44,52,62,72,84,66,166,68,192,222,201,221,309,341,371,329,460,540,558,544,514,669,671,757,743,765,821,860,825,933,1000,1087,1000,1037,986,1187,1016,1116,1023,1176,1191,1172,1193,1248,1218,1355,1350,1384,1266,1380,1445,1335,1442,1392,1428,1643,1479,1393,1334,1418,1439,1429,1538,1449,1437,1465,1538,1531,1535,1573,1451,1428,1426,1416,1428,1520,1408,1430,1451,1491,1511,1500,1409,1417,1344,1578,1516,1367,1420,1448,1439,1363,1370,1743,1450,1274,1315,1274,1391,1343,1314,1416,1323,1288,1260,1218,1297,1145,1133,1111,1211,1199,1141,1159,1130,1026,1077,1087,1019,945,999,906,898,825,764,778,697,722,756,652,743,705,709,566,526,525,481,553,515,476,499,462,415,374,439,386,392,358]
[48,56,38,16,64,48,74,66,90,135,211,164,243,228,289,335,373,411,511,590,507,593,629,815,818,819,793,948,747,929,961,972,1082,1045,1165,1091,1197,1237,1155,1187,1239,1300,1345,1337,1385,1522,1432,1246,1415,1508,1372,1438,1239,1442,1476,1381,1371,1444,1422,1424,1874,1610,1499,1507,1569,1705,1536,1635,1588,1560,1559,1583,1647,1566,1583,1571,1600,1568,1602,1573,1589,1651,1555,1576,1516,1652,1583,1518,1539,1445,1500,1333,1515,1530,1424,1501,1404,1637,1422,1353,1428,1379,1380,1334,1323,1291,1364,1382,1451,1251,1296,1242,1156,1295,1293,1161,1134,1114,1135,1051,1054,917,990,975,944,873,838,836,899,726,713,813,655,725,642,701,663,570,502,416,568,490,404,471,382,413,419,386,407,357]
[28,32,48,64,76,88,90,84,98,196,184,237,207,310,289,422,381,409,564,549,617,704,687,713,714,895,1018,896,976,1087,1052,1067,1141,1184,1171,1138,1238,1284,1248,1234,1266,1277,1289,1258,1345,1375,1419,1484,1494,1557,1430,1414,1533,1550,1567,1528,1579,1525,1621,1537,1679,1618,1530,1970,1561,1563,1673,1752,1580,1510,1681,1597,1706,1699,1628,1638,1630,1616,1572,1698,1697,1712,1636,1536,1669,1685,1624,1605,1604,1667,1693,1548,1602,1533,1593,1632,1501,1648,1578,1596,1804,1493,1414,1345,1474,1500,1429,1448,1321,1498,1311,1288,1346,1305,1218,1225,1232,1087,1138,1111,1137,1059,1023,1012,1011,968,867,759,820,777,799,752,711,602,603,585,653,592,652,562,560,477,420,420,351,394,412,424,328,369]
[50,50,46,72,72,68,86,80,216,135,215,211,236,334,366,428,453,487,580,651,562,706,801,755,910,938,1024,945,1183,1227,1188,1212,1220,1304,1238,1375,1329,1392,1401,1436,1404,1577,1518,1334,1394,1621,1497,1453,1534,1477,1695,1561,1679,1601,1625,1643,1642,1625,1731,1599,1770,1720,1668,1764,1926,1645,1947,1693,1742,1851,1811,1745,1686,1889,1726,1766,1775,1656,1693,1575,1830,1775,1734,1797,1679,1737,1780,1622,1653,1699,1666,1636,1639,1669,1629,1578,1564,1589,1577,1569,1644,1606,1540,1557,1784,1609,1437,1439,1402,1428,1424,1407,1407,1338,1334,1245,1237,1202,1214,1149,1122,1011,1134,1017,949,889,891,817,781,792,771,815,691,677,629,694,614,695,535,504,501,601,469,426,446,376,367,362,390,369]
[64,58,44,66,62,68,90,94,185,217,170,188,372,362,356,429,530,549,591,718,742,838,899,938,975,1083,1154,1120,1215,1282,1298,1241,1559,1259,1210,1403,1353,1334,1470,1523,1405,1544,1633,1486,1509,1622,1687,1700,1728,1855,1692,1645,1698,1727,1722,1638,1831,1674,1859,1812,1933,1710,1947,1831,1851,1850,1897,1739,1876,2211,2034,1838,1923,1901,1840,1942,1866,1910,1860,1879,1780,1830,1864,1748,1832,1988,1837,1713,1771,1669,1762,1801,1822,1758,1741,1671,1618,1678,1544,1609,1676,1627,1554,1664,1506,1555,1605,1972,1608,1548,1450,1478,1414,1469,1347,1252,1304,1284,1226,1197,1137,1163,1112,1055,1013,884,930,893,875,891,766,792,688,740,747,603,663,571,628,522,449,558,456,447,515,459,368,414,351,442]
[50,52,52,88,66,86,164,100,115,163,244,230,295,436,378,487,547,553,701,743,831,943,1014,1064,1100,1178,1273,1232,1463,1519,1554,1527,1549,1464,1483,1805,1570,1600,1680,1697,1653,1675,1620,1686,1633,1599,1674,1754,1938,1858,1775,1869,1883,1853,1814,1844,1882,1861,1919,1887,1907,1890,1978,1901,2002,1844,1806,1860,2140,1938,2030,2065,2424,1983,2090,1915,1882,1965,1943,1884,2009,1922,1939,1953,1735,2015,1887,1859,2003,1884,1973,1801,1977,1722,1809,1891,1701,1704,1662,1759,1660,1716,1760,1724,1730,1547,1735,1645,1547,1946,1666,1546,1566,1457,1512,1404,1406,1223,1341,1175,1221,1176,1125,1017,1129,991,875,963,896,835,778,748,792,653,724,625,558,604,486,506,556,550,432,508,391,478,353,447,332,308]
[38,54,72,78,70,62,155,199,146,240,185,327,393,318,464,558,583,679,849,894,925,969,1114,1160,1148,1250,1239,1431,1520,1528,1596,1574,1548,1527,1486,1557,1540,1670,2151,1713,1780,1820,1790,1837,1777,1819,1881,1903,2050,1932,1911,2057,2038,1989,1818,1887,1985,2025,1980,2048,2007,2035,2143,2064,1900,1943,2255,2035,2152,2089,2010,2131,2054,2117,2014,2362,2126,2064,1896,2168,2068,2018,1950,2049,2081,2035,1906,1976,2067,1959,1915,1890,1911,1910,1863,1818,1916,1836,1865,1702,1756,1807,1674,1737,1804,1583,1722,1599,1646,1593,1639,1428,1559,1732,1356,1389,1328,1330,1275,1237,1198,1178,1139,1159,1018,912,941,888,932,918,759,805,794,752,675,630,593,627,594,537,495,493,499,402,412,338,405,336,402,373]
[32,64,48,60,162,78,88,98,176,194,232,305,382,354,464,612,585,651,789,958,1020,1188,1183,1292,1309,1402,1553,1563,1625,1799,1718,1868,1751,1886,1663,1532,1797,1783,1745,1957,2059,2310,2064,1999,1793,1814,2011,2008,2159,2155,2208,2154,2164,2135,2127,2003,1992,1957,2105,2210,2372,2328,2328,2171,2031,2078,2050,2274,2246,2349,2317,2242,2286,2264,2044,2200,2336,2337,2611,2141,2247,2146,2150,2197,2133,2113,2121,2041,1991,2097,2219,2140,2127,2044,1895,1938,1791,1812,1837,2023,1815,1921,1849,1861,1836,1736,1708,1803,1756,1821,1734,1799,1701,1565,1466,1826,1419,1416,1312,1410,1229,1194,1215,1146,1156,1026,1002,995,1003,892,815,804,801,713,686,619,578,572,660,561,504,523,520,477,446,430,354,383,380,374]
[50,56,64,74,80,82,96,233,167,259,293,272,355,413,456,543,637,759,954,1106,1235,1390,1350,1350,1416,1567,1511,1525,1646,1881,2030,2006,1949,1745,1793,1707,1691,1854,2010,2134,2194,2327,2206,2074,1983,2008,1972,1885,2161,2246,2399,2296,2195,2197,2075,1967,2093,2060,2212,2150,2242,2439,2819,2303,2185,2164,2162,2326,2299,2412,2514,2423,2465,2384,2359,2247,2171,2220,2402,2353,2461,2410,2423,2040,2079,1885,2172,2105,2108,2143,2251,2286,2124,2037,1996,1984,1945,1914,1939,1908,2484,2099,1915,1848,1814,1773,1817,1847,1721,1850,1762,1692,1674,1590,1436,1535,1376,1253,1350,1329,1341,1345,1247,1141,1097,1037,1072,934,1056,876,885,740,785,737,744,677,640,767,662,569,547,555,507,481,418,436,419,463,412,360]
[64,58,46,78,138,78,139,160,158,252,283,306,372,440,510,615,653,756,962,1117,1200,1475,1466,1424,1235,1331,1400,1600,2103,1938,2393,2250,2229,1928,1883,1771,1888,1985,2066,2154,2394,2475,2269,2191,2043,2044,1975,2068,2201,2472,2429,2587,2402,2324,2167,2123,1931,2107,2389,2360,2501,2555,2580,2248,2204,2540,2147,2188,2439,2603,2629,2775,2471,2414,2332,2254,2029,2179,2326,2516,2459,2491,2426,2199,2261,2106,1942,2085,2119,2593,2574,2286,2423,2124,2053,1956,1859,2035,2027,2112,2122,2219,2592,1882,1872,1844,1854,1784,1866,1760,1914,1722,1831,1654,1638,1582,1570,1396,1468,1294,1355,1258,1317,1124,1061,1154,1055,992,882,960,912,881,699,781,716,734,704,671,496,607,620,507,555,471,472,400,425,440,365,402]
[80,54,58,72,117,96,192,195,209,255,314,340,369,396,571,668,738,919,1054,1230,1644,1714,1767,1671,1670,1348,1526,1595,1955,2075,2403,3325,2660,2306,2062,1943,1997,1998,2186,2457,2656,2783,2618,2483,2215,1980,2126,2118,2076,2482,2853,2945,2764,2655,2322,2262,2243,2209,2247,2565,2809,2989,2742,2446,2402,2247,2201,2237,3022,2729,3006,2977,2883,2489,2481,2306,2245,2234,2279,2456,2764,2636,2626,2598,2240,2115,2035,2236,2477,2483,2742,2827,2506,2313,2239,1878,1928,1837,2150,2233,2503,2463,2343,1865,1928,2182,1809,1983,1969,2042,2068,2066,1815,1720,1667,1601,1548,1539,1417,1385,1352,1362,1224,1236,1100,1137,1110,888,938,1013,882,842,817,783,743,652,625,672,622,607,566,584,562,604,446,412,409,356,420,355]
[38,84,64,80,100,74,187,228,168,261,296,334,318,469,525,646,786,952,1139,1650,2395,2845,2825,2409,1941,1823,1660,1792,1978,2591,3329,3816,3521,3028,2793,2143,1940,2095,2330,2780,3350,3504,3177,2897,2432,2260,2114,2265,2440,2923,3723,3819,3419,3100,2717,2447,2355,2428,2487,2954,3424,3613,3262,2744,2658,2409,2459,2520,2728,3136,3730,4372,3300,2852,2639,2544,2260,2419,2687,3054,3508,3368,3064,2583,2422,2349,2305,2303,2673,3166,3373,3297,3033,2665,2224,2023,1929,2299,2421,2714,3249,3200,2545,2294,2091,1900,1934,2071,2609,2509,2586,2531,2212,2060,1701,1505,1488,1584,1484,1403,1379,1348,1296,1193,1210,1227,1082,1015,972,943,939,863,818,834,709,682,694,702,641,598,536,563,520,517,442,403,439,398,353,341]
[52,60,82,84,92,166,188,251,232,266,271,360,410,459,535,762,736,991,1257,1923,3501,4109,4695,3291,2359,2032,1899,2016,2354,3264,4658,5128,4672,3697,2939,2324,2213,2609,2519,3263,4601,4715,4515,3366,3000,2449,2244,2406,2476,3382,4528,4707,4322,3430,2865,2518,2260,2494,2673,3565,4433,4245,3871,3492,3038,2625,2647,2593,3014,3856,4674,4422,4080,3345,3302,2521,2519,2704,2822,3804,4354,4114,3473,3073,2547,2243,2281,2471,2758,3657,4422,4125,3766,2850,2449,2241,2341,2279,2779,3223,3845,3720,3303,2652,2114,2034,1949,2072,2366,3093,3342,3273,3070,2161,1946,1613,1625,1501,1473,1390,1330,1391,1296,1236,1153,1192,1035,985,957,867,920,909,865,741,716,697,710,603,571,641,475,539,570,461,404,434,422,384,365,485]
[70,68,80,78,108,118,184,239,164,239,348,354,415,483,554,675,808,1006,1401,1984,3731,5062,4967,3376,2270,1992,1698,1888,2393,3354,4958,5639,4769,3982,2871,2318,2089,2265,2544,3264,5814,5066,4395,3421,2883,2364,2206,2502,2629,3494,4751,5125,4641,3527,3115,2631,2439,2522,2787,3972,4876,4904,4446,3753,3147,2705,2408,2893,2920,3894,4869,5114,4283,3596,3030,2621,2473,2736,3494,3677,4631,4402,3877,3093,2720,2224,2309,2637,3069,4081,4826,4716,3917,3105,2546,2296,2233,2218,2649,3460,4170,4009,3459,2863,2375,2107,2025,2190,2554,3095,3759,3855,3034,2319,2053,2091,1648,1588,1608,1463,1468,1444,1370,1195,1217,1118,958,972,960,925,966,838,839,825,704,645,701,592,622,607,550,488,520,528,455,393,422,386,459,382]
[70,149,90,82,171,207,180,174,281,319,307,462,558,665,758,999,1102,1376,1719,2537,3244,2888,2353,1872,1835,1699,1984,2299,2940,3630,4510,4105,3157,2588,2256,2086,2169,2434,2922,3764,4082,4443,3113,2595,2474,2480,2519,2704,3382,4180,4495,4314,3351,2863,2554,2608,2528,2878,3390,4362,4750,4073,3455,3135,2844,2640,2880,2987,3457,4276,4555,4388,3332,2954,2746,2696,2738,2685,3476,4792,4098,3494,2922,2669,2567,2491,2629,2739,3431,3983,3999,3319,3054,2409,2357,2230,2350,2504,3057,3457,3464,3040,2660,2254,2161,2141,2294,2510,2768,3406,3060,2696,2251,1977,1836,1745,1881,1486,1518,1354,1391,1394,1351,1201,1173,1057,966,1063,901,962,890,803,871,727,664,606,652,680,589,546,562,613,572,502,517,472,399,474,329,343]
[78,88,84,196,96,182,144,176,307,285,403,481,582,668,736,886,1113,1207,1483,1782,2202,2156,1974,1797,1680,1741,1870,2219,2607,2893,2971,3012,2443,2398,2092,2046,2208,2227,2674,3035,3057,2995,3200,2504,2491,2415,2238,2544,2885,3123,3290,3230,2981,2703,2495,2526,2447,2673,3053,3476,3636,3349,3166,2753,2534,2485,2715,2653,3064,3504,3644,3460,3069,2920,2778,2592,2575,2825,2823,4243,3436,3243,2775,2619,2441,2430,2510,2602,2874,3221,2932,2942,2585,2466,2264,2226,2315,2373,2577,2738,2828,2702,2433,2286,2208,2129,2197,2317,2431,2618,2471,2335,2080,1966,1898,1736,1933,1653,1616,1558,1419,1445,1346,1308,1062,1053,1055,1031,883,1058,930,820,836,823,670,756,591,675,611,576,453,484,513,430,454,410,433,421,410,342]
[74,68,46,94,167,92,128,255,228,219,291,440,413,544,703,756,881,1002,1258,1358,1622,1914,1825,1663,1644,1704,1694,2000,1946,2150,2358,2492,2509,2482,2176,2000,2124,2092,2272,2555,2594,2552,2591,2521,2477,2731,2142,2381,2408,2735,2682,2932,2686,2636,2336,2370,2380,2259,2495,2723,2805,2840,2942,2754,2609,2491,2581,2479,2646,2933,2945,3228,3026,2842,2758,2548,2533,2734,2599,2753,2769,2809,3422,2774,2457,2469,2331,2577,2424,2601,2558,2707,2730,2410,2366,2288,2147,2346,2311,2434,2418,2569,2438,2416,2214,2107,2227,2191,2150,2307,2260,2339,2215,2042,1935,1819,1688,1753,1798,2044,1564,1546,1360,1388,1244,1179,1207,1064,986,1099,925,925,876,880,743,787,620,704,714,628,547,606,553,494,480,475,484,443,345,389]
[56,70,96,72,94,142,223,187,277,250,432,448,461,506,723,870,966,1132,1166,1480,1577,1729,1739,1586,1567,1715,1912,1944,2003,2171,2401,2314,2286,2300,1900,1940,1874,2082,2247,2192,2402,2440,2488,2408,2246,2162,2219,2665,2516,2591,2704,2569,2530,2437,2367,2482,2343,2356,2376,2619,2624,2643,2738,2746,2411,2433,2427,2614,2713,2807,2832,2900,2994,2644,2757,2502,2528,2621,2502,2520,2731,2817,2688,2628,2424,2778,2291,2461,2481,2428,2514,2417,2567,2319,2258,2308,2203,2314,2282,2248,2270,2440,2346,2180,2273,2224,2211,2220,2155,2273,2211,2244,2152,2142,1933,1796,1725,1708,1599,1684,1526,1581,1644,1372,1245,1165,1105,1124,1024,1017,980,848,733,773,721,790,743,790,724,637,548,458,542,511,475,422,424,462,397,365]
[72,60,58,92,92,162,175,189,228,281,336,365,449,664,741,803,1050,1077,1353,1467,1714,1816,1774,1679,1789,1663,1751,1884,1960,2007,2262,2317,2204,2112,2053,1927,2028,2164,2281,2350,2382,2541,2560,2319,2320,2187,2278,2280,2472,2557,2780,3131,2582,2512,2364,2373,2542,2466,2498,2513,2491,2601,2503,2442,2518,2513,2507,2604,2614,2810,2788,2900,2944,2708,2595,2628,2586,2526,2645,2709,2714,2818,2758,2517,2558,2441,2431,2392,2907,2376,2458,2477,2404,2234,2207,2314,2329,2376,2303,2308,2303,2255,2181,2235,2175,2200,2163,2173,2238,2264,2288,2190,2238,2007,1980,1837,1966,1866,1612,1725,1577,1541,1433,1453,1370,1462,1251,1111,1036,1020,914,940,860,859,816,769,745,708,741,704,626,557,576,575,570,467,502,439,386,420]
[86,58,72,96,76,162,130,184,242,241,344,368,506,591,637,845,1175,1176,1433,1699,2074,2175,2071,1853,1715,1735,1774,1823,1941,2174,2323,2315,2421,2227,2092,2081,2056,2226,2342,2486,2561,2555,2624,2411,2304,2153,2239,2389,2445,2632,2775,2716,2813,2991,2449,2440,2461,2391,2591,2656,2584,2622,2648,2506,2425,2507,2520,2664,2849,2989,3148,3086,2829,2680,2628,2715,2719,2560,2745,2826,2963,2930,2886,2630,2463,2563,2459,2402,2383,2535,2487,2893,2502,2269,2275,2183,2165,2258,2423,2390,2644,2460,2290,2189,2156,2123,2204,2180,2166,2496,2407,2171,2190,2011,1895,1943,1858,1863,1745,1720,1616,1453,1508,1417,1285,1332,1035,1025,1253,965,1009,925,925,828,757,664,644,699,592,681,653,496,503,513,385,420,459,456,419,414]
[58,70,78,100,151,184,182,218,178,257,372,370,450,607,646,858,1058,1303,1591,2110,2416,2613,2428,2232,1948,1834,1862,1893,2019,2234,2670,2720,2652,2416,2154,1980,2082,2210,2266,2622,2635,2946,2838,2461,2383,2347,2298,2326,2515,2766,2966,2931,2828,2534,2493,2398,2943,2473,2356,2695,2699,2765,2768,2698,2473,2563,2582,2657,2862,3088,3152,3304,3097,2827,2857,2714,2634,2596,2767,3013,3180,3156,2870,2946,2548,2551,2435,2667,2507,2548,2766,2527,2474,2942,2296,2251,2395,2364,2359,2542,2512,2630,2299,2393,2247,2146,2387,2286,2437,2556,2523,2662,2277,2215,1983,1847,1896,1815,1743,1593,1575,1591,1467,1321,1295,1230,1342,1122,1181,1019,961,1156,775,824,744,662,750,637,658,718,625,616,491,485,552,508,468,471,387,409]
[78,88,78,82,133,100,142,206,264,321,359,361,415,626,781,854,1114,1455,1639,2307,3549,3944,4613,3128,2646,2227,2146,2083,2065,2569,3354,3641,3276,2893,2448,2259,2270,2357,2467,2871,3429,3703,3397,2902,2670,2455,2468,2572,2501,2898,3412,3586,3304,3285,2599,2617,2471,2625,2650,3081,2940,2942,2933,2782,2779,2633,2631,2923,3085,3264,3836,3911,3519,3102,2880,2823,2852,2820,2859,3100,3321,3568,3264,2883,2606,2543,2474,2721,2581,2702,2870,2827,2586,2478,2390,2349,2988,2403,2571,2777,3084,3057,2703,2504,2349,2332,2330,2339,2522,2728,2945,2726,2580,2194,2124,1956,1946,1884,1813,1677,1625,1567,1449,1415,1310,1272,1109,1258,1054,1019,1038,939,791,1063,726,836,703,710,653,642,555,543,534,538,458,482,345,482,371,365]
[66,82,74,84,92,117,161,255,201,273,313,359,495,632,689,854,1093,1318,1744,2688,4708,5702,5359,4244,3192,3076,2230,2217,2246,2830,3953,4264,4230,3395,2721,2291,2339,2331,2517,2912,4053,4419,4359,3540,2834,2553,2450,2633,2792,3158,4025,4333,4165,3478,2947,2719,2831,2757,2657,2957,3246,3347,3885,2770,2781,2578,2745,2905,3038,3761,4704,4590,3998,3476,3115,2958,2794,2922,3111,3476,4154,4239,3673,3169,2882,2691,2509,2712,2723,3090,3280,3122,3093,2708,2512,2374,2578,2568,2688,3911,3778,3646,3120,2603,2492,2449,2323,2458,2927,3581,3698,3494,3156,2436,2183,1996,2045,1857,1815,1710,1640,1424,1478,1424,1330,1345,1143,1029,1139,1001,873,913,924,875,909,761,891,705,727,633,666,517,604,480,476,502,481,437,405,368]
[60,80,86,88,117,146,197,205,209,287,289,415,449,553,658,934,996,1410,1865,2746,4752,6442,5967,4483,3606,2708,2262,2132,2782,2884,4190,4842,4628,3369,2805,2530,2234,2337,2734,3066,4169,4774,4425,3471,2881,2798,2449,2748,2934,3555,4462,4776,4606,3605,2978,2768,2784,2758,2744,2823,3482,3623,3434,3093,2718,3309,2813,3003,3244,3968,4775,4524,4194,3587,3195,3009,2886,2904,2973,3720,4312,4557,4042,3222,3084,2673,2585,2755,2696,3159,3588,3663,3346,2774,2625,2316,2431,2622,2603,3243,3988,3919,4035,2725,2475,2378,2515,2646,2924,3610,3967,3798,3152,2626,2370,2156,1948,1882,1812,1733,1614,1548,1384,1403,1244,1263,1221,1169,1123,1098,963,988,977,840,854,813,809,647,697,709,668,626,505,573,609,533,485,365,456,418]
[58,58,164,96,96,150,161,254,268,237,349,386,510,591,729,860,1026,1249,1618,2208,3110,4432,5092,3795,2793,2335,1957,2124,2305,2413,3109,4121,3424,2924,2545,2180,2176,2264,2509,2648,3247,3639,3597,2991,2722,2637,2445,2504,2623,2953,3598,3914,3812,3047,2896,2669,2578,2577,2738,2785,3158,3359,3261,2854,2753,2479,2720,2924,3594,3357,3788,4072,3951,3347,3139,2874,2762,2864,2883,3147,3618,3856,3406,3140,3018,2797,2637,2515,2645,2815,3024,3126,3032,2797,2412,2312,2439,2337,2662,2910,3327,3388,3060,2812,2496,2858,2359,2554,2572,2900,3353,3225,2882,2481,2189,2116,1959,1978,1726,1796,1554,1537,1447,1486,1378,1335,1160,1141,1125,1046,933,958,867,870,856,781,685,721,708,657,563,530,680,491,485,498,431,469,352,504]
[52,78,90,88,185,162,163,226,259,333,358,386,451,595,778,719,1109,1244,1466,1856,2306,2968,3157,2618,2263,2046,1908,1935,2070,2239,2434,2777,2836,3061,2160,2097,2194,2277,2305,2468,2824,3051,3046,2885,2513,2657,2472,2708,2743,2760,3164,3191,3135,3098,2864,2737,2641,2811,2575,2767,2866,3081,2884,2791,2661,2732,2696,2782,2866,2969,3309,4236,3395,3024,2940,2640,2882,2908,2841,3084,3324,3319,3172,2995,2887,2716,2755,2698,2602,2890,2860,2761,2731,2696,2513,2426,2387,2527,2487,2713,2887,2969,2902,2813,2587,2436,2438,2404,3182,2533,2968,2825,2772,2421,2190,2135,1999,1893,1907,1795,1716,1627,1548,1499,1334,1471,1121,1192,1079,1101,971,932,901,872,813,834,797,789,737,648,618,598,626,577,450,609,421,415,465,402]
[76,84,90,78,185,175,211,234,270,302,319,431,467,593,686,804,1110,1109,1286,1610,1964,2280,2363,2145,1870,1893,1880,2018,2155,2010,2355,2430,2648,2312,2331,2102,2288,2909,2293,2351,2684,2722,2740,2548,2459,2471,2320,2543,2730,2838,2873,2946,3016,2794,2603,2626,2635,2683,2764,2739,2946,2882,2755,2788,2812,2761,2793,2890,2856,3082,2930,3124,3274,3064,3495,2805,2689,2819,2790,2837,2960,3089,3079,3024,2858,2740,2648,2610,2621,2608,2679,2722,2737,2712,2609,2562,2576,2477,2645,2444,2594,2604,2634,2567,2522,2453,2406,2383,2381,2611,2671,3221,2663,2363,2356,2230,2176,1902,1931,1845,1695,1661,1598,1309,1421,1367,1233,1179,1200,1055,1010,1035,965,882,899,839,833,786,784,701,639,576,551,528,505,554,530,483,392,467]
[70,80,100,66,98,198,190,190,263,395,370,349,469,670,675,778,980,1269,1452,1705,1912,2086,2025,1941,1925,1797,1765,2045,2059,2203,2177,2254,2267,2250,2009,2081,2229,2169,2331,2511,2556,2498,2689,2533,2334,2358,2852,2432,2515,2828,2867,2982,2840,2748,2656,2609,2482,2617,2612,2676,2773,2758,2801,2699,2799,2677,2761,2907,2925,3039,2981,3110,3019,2823,2932,2801,2909,2809,2739,2896,2966,3060,3012,3525,2797,2821,2591,2617,2629,2638,2736,2763,2646,2633,2547,2452,2436,2515,2642,2484,2426,2632,2590,2504,2595,2396,2394,2524,2599,2644,2518,2507,2481,2276,2274,2133,2110,1996,2068,1871,1996,1785,1604,1591,1281,1266,1313,1271,1139,1152,967,1039,942,889,873,806,755,638,676,701,588,594,574,581,568,461,452,434,413,426]
[68,86,90,92,132,234,144,210,243,311,388,320,482,599,671,936,1104,1286,1419,1678,1776,2043,2040,1972,1724,1748,1941,1935,2078,2219,2279,2261,2213,2300,2228,2051,2162,2278,2269,2445,2679,2773,2517,2559,2468,2308,2446,2501,2542,3350,2618,2854,2858,2844,2522,2611,2599,2719,2836,2831,2781,2926,2914,2866,2703,2604,2706,2787,2828,2979,2859,2918,3053,2923,2796,2788,2816,2926,2898,3015,3022,3106,3056,2674,2750,2703,3126,2638,2671,2667,2606,2736,2772,2439,2501,2558,2496,2522,2481,2480,2510,2488,2634,2523,2570,2568,2456,2561,2572,2750,2544,2572,2282,2269,2237,2145,2145,1934,1913,1901,1720,1778,1512,1538,1742,1345,1173,1198,1081,1071,1088,948,887,949,780,783,780,736,726,630,590,502,550,515,543,457,496,439,407,399]
[48,70,88,96,187,219,193,163,250,305,315,388,473,619,807,1178,1190,1403,1558,1803,2174,2338,2381,2015,1696,1650,1881,2091,2123,2309,2443,2350,2303,2224,2147,2114,2074,2330,2424,2799,2728,2639,2783,2592,2585,2456,2419,2445,2411,2815,2831,3050,3400,2645,2735,2606,2639,2824,2678,2820,2998,2882,2993,2876,2738,2606,2628,2794,2937,2882,2976,2939,3063,2857,2778,2924,2822,2852,3087,3240,3001,3144,3086,2970,2870,2703,2669,2753,2723,3358,2619,2798,2769,2732,2527,2589,2568,2508,2538,2442,2571,2617,2546,2520,2473,2639,2532,2520,2559,2768,2558,2722,2514,2325,2154,2210,2141,2025,1990,1807,1766,1586,1688,1453,1397,1313,1348,1485,1200,1162,1070,948,985,808,818,845,801,752,697,617,693,685,614,497,557,490,449,467,409,324]
[70,60,96,62,86,132,134,208,247,295,347,404,488,638,739,875,1121,1406,2145,2046,2651,2986,2742,2225,2040,1935,1892,1953,2094,2363,2595,2678,2528,2389,2064,2135,2252,2230,2568,2954,2970,3248,2855,2764,2658,2726,2558,2506,2777,3017,3181,3260,3171,2977,2742,3192,2911,2632,2904,3521,2700,3229,3134,2812,2846,2782,2741,2764,3021,2996,3265,3219,3037,2943,2805,2970,3007,3031,3066,3246,3368,3441,3368,3130,2921,2857,2802,2810,2886,2885,2908,2794,2931,2708,3090,2545,2686,2587,2513,2549,2559,2538,2553,2454,2638,2552,2604,2588,2773,2814,2839,2773,2746,2469,2319,2259,2264,2071,1830,1932,1777,1587,1572,1573,1401,1362,1288,1262,1161,1066,935,1126,947,904,881,831,701,759,680,646,630,613,487,468,577,504,532,477,487,394]
[50,84,82,72,184,132,228,238,285,239,373,365,486,581,817,858,1180,1412,2030,2486,3837,4917,3970,3411,2633,2429,2092,2022,2220,2366,3009,3212,2975,2661,2492,2311,2315,2392,2739,3185,3845,4122,3895,3380,3087,2975,2688,2684,2865,3125,3800,3759,3520,3170,2993,2909,2733,2802,3520,3113,3393,3396,3209,2944,2840,2850,2998,2873,3006,3155,3624,3643,3302,3061,2920,2778,2955,2927,2963,3544,3809,3874,3674,3209,3078,2761,2894,2673,3071,3082,3152,3289,3070,2874,2698,3192,2760,2562,2838,2834,2974,2686,2750,2625,2655,2693,2597,2784,2938,3069,3491,3238,2994,2748,2648,2304,2230,2265,1974,1990,1865,1541,1696,1594,1430,1398,1366,1181,1152,1028,1097,1008,1154,939,828,785,760,761,690,651,660,531,544,489,543,448,400,458,441,453]
[58,82,92,82,160,152,211,228,266,265,349,390,486,616,714,929,1298,1406,2077,3180,5294,6278,5925,5003,4019,2762,2273,2180,2302,2681,4368,4873,4309,3843,2794,2459,2412,2710,2863,3753,4908,5156,4826,4193,3642,2929,2947,2900,2983,3432,4332,4625,4282,3669,3233,2924,2896,2890,3015,3280,3864,4005,4290,3129,2989,2947,2965,3056,3081,3416,4185,4247,3965,3388,3144,3055,3069,3121,3210,3730,4629,4403,4099,3352,3253,2834,2923,2889,2974,3243,3571,3544,3478,2929,2707,2758,2759,2633,2709,3334,2938,2931,2639,2514,2632,2651,2712,2903,2974,3777,4198,3911,3323,2697,2452,2440,2298,2220,2010,1842,1802,1678,1514,1455,1401,1344,1349,1246,1206,1172,1104,1047,883,882,992,872,925,690,595,671,633,549,672,529,500,524,376,451,393,352]
[52,62,88,52,127,191,131,205,261,250,389,395,466,546,664,776,1066,1451,1845,2840,4663,6167,6382,5044,3535,2740,2153,1914,2236,2480,3539,4504,4568,4120,3010,2591,2742,2490,2824,3506,4673,5211,5072,4172,3515,3030,2909,2685,2898,3129,3961,4482,4316,3757,3331,2877,2890,2949,3066,3272,3683,4207,3883,3507,3043,2790,3005,2901,3035,3223,3752,4311,3900,4034,3122,3059,2998,3039,3353,3547,4329,4558,4434,3820,3300,3014,3016,2971,3095,3007,3516,3642,3548,3073,2923,2670,2789,2581,2640,2613,2855,2904,2672,2570,2658,2682,2817,2693,2792,3354,5129,4100,3430,2985,2447,2394,2357,2146,1997,1936,1859,1741,1569,1545,1455,1331,1404,1253,1191,1146,1135,1041,938,833,804,888,859,722,628,770,663,518,640,512,534,481,440,422,451,355]
[92,88,72,82,80,168,193,272,236,351,324,426,567,650,618,882,1113,1435,1891,2381,3477,4809,4434,3604,2745,2227,1976,2051,2171,2486,3081,3498,3686,3121,2678,2408,2310,2573,2887,3792,3866,4563,4190,3523,3136,2865,2800,2850,2998,3242,3798,4009,3683,3409,3088,2780,2955,2893,3097,3266,3409,3563,3387,3231,3056,2902,3046,3077,3099,3163,3643,3692,3623,3217,3072,2930,3500,3000,3285,3249,3921,3932,3399,3313,3053,2856,2777,2968,3043,2937,3360,3206,3242,3041,2896,2657,2655,2670,2643,2736,2699,2824,2803,2642,2660,2781,2630,2690,2900,3246,3451,3535,3223,3381,2452,2284,2394,2087,2068,1768,1873,1757,1646,1516,1326,1402,1304,1316,1128,1117,1024,1010,881,977,835,825,733,741,687,767,653,521,611,543,488,565,512,476,375,426]
[66,90,80,82,224,109,215,205,202,284,301,445,486,576,700,789,1007,1372,1528,2003,2647,3185,3129,2822,2289,1947,2043,2080,2118,2370,2514,2612,2669,2453,2304,2320,2286,2390,2563,2900,3013,3905,3301,3026,2892,2534,2631,2753,2874,2906,3181,3307,3159,3077,2998,2798,2806,2822,2943,3034,3182,3263,3167,3083,3105,2980,2912,3007,3039,3016,3148,3209,3278,3173,2958,2845,2847,3135,3172,3702,3178,3295,3285,3350,3008,2742,2929,2981,2847,2831,2944,3019,3045,2868,2809,2737,2697,2699,2926,2858,2933,2843,2803,2693,2772,2760,2722,2809,2750,2870,2975,2967,2913,2546,2711,2402,2735,2139,2135,1950,1735,1706,1749,1573,1586,1485,1320,1349,1256,1163,1189,1172,1034,932,791,915,907,784,661,777,649,604,635,506,581,457,459,429,436,407]
[74,88,129,76,195,119,198,247,212,318,398,463,501,589,779,933,1106,1327,1235,1545,1906,2212,2212,1998,1855,1790,1760,1973,2237,2182,2290,2315,2423,2282,2255,2190,2096,2261,2545,2671,2833,2950,2812,2715,2954,2560,2457,2649,2779,2870,3030,2947,3091,2706,2773,2668,2810,2929,2765,3102,3096,3135,3141,2911,3058,2797,3011,2815,3078,2976,3089,3105,3182,2827,2886,2925,2890,2942,2942,3065,3173,3676,3105,3221,2986,2959,2843,2823,2821,3025,2962,2972,2910,2964,2746,2773,2753,2806,2698,2904,2614,2892,2831,3014,2819,2731,2843,2661,2676,2874,2985,2987,2973,2615,2416,2339,2302,2198,2045,2363,1894,1875,1671,1785,1458,1367,1368,1192,1214,1205,1119,1051,974,941,823,876,910,739,719,614,659,624,568,593,543,411,425,438,436,456]
[58,70,82,100,196,154,232,214,213,312,424,367,507,495,670,891,1039,1258,1198,1434,1679,2044,1931,1786,1822,1715,1802,1905,1988,2258,2310,2186,2354,2143,2288,2009,2049,2041,2424,2460,2528,2553,2685,2630,2659,2637,2500,3129,2784,3051,2937,3041,2897,2798,2776,2883,2786,2921,3094,3052,3206,3259,3262,3202,3069,2884,2834,2894,2994,3130,3214,3015,2970,2992,3062,2820,2973,3000,3073,3116,3043,2987,3080,3040,3061,3602,3017,2805,2970,2975,3012,2994,2941,3005,2860,2696,2875,2660,2976,2928,3025,2937,2935,2791,2771,2817,2659,2630,2863,2777,2975,2866,2729,2630,2424,2365,2226,2242,2297,2014,1792,1762,2017,1613,1461,1416,1413,1289,1173,1134,1203,1138,942,899,851,881,876,774,642,631,670,625,617,528,508,475,452,426,443,438]
[58,64,94,88,163,140,242,221,277,302,334,393,445,707,759,917,944,1205,1257,1609,1703,1951,1900,1814,1631,1615,1874,1805,2050,2173,2260,2299,2253,2188,2066,2129,2023,2107,2314,2446,2572,2445,2558,2605,2524,2371,2439,2555,2753,2866,3627,2871,2913,2861,2808,2780,2747,2884,2977,3127,3026,3256,3060,3125,2978,3067,2926,3003,2987,3124,3059,3045,3185,3024,3103,2986,2843,2931,3150,2900,3050,3020,3019,3032,2918,2912,2771,2890,3519,3112,2948,3226,3091,2830,2723,2837,2769,2757,2985,3021,2930,3012,3063,2839,2856,2807,2668,2799,2749,2835,3156,2980,2802,2688,2610,2402,2361,2184,2118,1987,1887,1968,1779,1792,1511,1721,1360,1396,1244,1148,1169,977,1008,938,960,822,658,670,734,756,637,646,549,470,554,505,458,424,465,328]
[62,64,72,194,156,120,215,217,271,255,304,373,470,588,676,849,1292,1110,1442,1564,2005,2088,2138,1804,1736,1663,1781,1799,2008,2164,2247,2362,2191,2170,2146,1910,2107,2238,2308,2565,2403,2498,2548,2676,2574,2359,2536,2535,2700,2850,2842,3125,2942,3323,2802,2729,2776,2873,3119,3319,3223,3064,3258,3204,3039,2872,2844,2837,2962,3121,3079,3221,3169,3090,3039,2948,2815,2813,3065,3209,3339,3237,3023,3020,3146,2951,2887,2796,3019,3229,3657,3200,3046,3090,3066,2933,3021,2948,2935,3206,3107,3116,2973,2866,2905,2873,2642,2869,2911,3241,3024,3139,2907,2645,2549,2509,2242,2193,2104,2015,1750,1761,1605,1690,1548,1396,1418,1183,1536,1199,1015,1095,923,861,871,791,697,677,724,709,716,647,523,537,536,485,508,424,377,396]
[82,70,178,96,150,137,244,182,306,343,334,362,556,579,627,861,983,1223,1463,2224,2314,2462,2586,2128,2039,1614,1874,1698,1834,2201,2356,2435,2361,2264,2181,2245,2235,2338,2376,2584,2690,2781,2624,2553,2417,2615,2545,2560,2672,2822,3099,3148,3195,3190,2767,2692,3486,2949,3011,3278,3365,3423,3432,3165,3163,2898,2894,3144,3086,3136,3135,3255,3168,2885,3000,2925,2820,2820,3197,3055,3183,3210,3150,3047,2991,2798,2895,2887,3085,3002,3205,3314,3044,3616,2837,2748,2931,3095,3288,3297,3264,3346,3212,3067,2830,2704,2887,3019,3334,3607,3532,3466,3253,2867,2717,2529,2490,2164,1959,1953,1905,1753,1801,1607,1581,1435,1339,1386,1235,1051,1236,1050,972,984,820,916,747,749,633,591,556,544,547,522,532,485,502,429,425,433]
[60,82,74,82,96,142,193,187,211,295,387,394,452,553,638,874,1019,1382,1740,2214,3203,4014,4661,3176,2728,2240,2054,1972,2054,2407,2977,3257,3185,2837,2431,2566,2277,2445,2455,2600,3009,3262,3247,3118,2891,2836,2956,2767,2862,3327,3611,3833,3665,3393,3120,2816,2824,2884,3299,4234,3972,4034,3877,3548,3254,3149,3177,3063,3076,3378,3481,3392,3202,3191,2996,3246,3041,3285,3076,3318,3379,3500,3278,3171,3132,3060,3024,3053,3290,3434,3661,3601,3388,3282,2993,3106,3752,3229,3520,3911,4125,3897,3577,3256,3094,2985,3161,3266,3508,4194,4467,4209,3581,3241,2832,2658,2397,2342,2142,2028,1902,1772,1716,1639,1677,1442,1306,1263,1162,1259,1077,1024,1044,1069,765,746,778,731,617,747,612,579,529,504,534,516,481,370,428,388]
[46,64,98,98,133,88,229,241,291,296,289,360,531,590,689,927,1061,1411,1792,2838,4321,5839,5371,4463,4212,2490,2266,2064,2148,2660,3605,4225,4369,3517,2889,2722,2492,2550,2576,2867,3501,3989,4076,3452,2889,2790,2615,2833,2965,3351,4171,4230,4166,3483,3207,3087,3055,3103,3438,3618,4523,4923,5302,3969,3422,3315,3157,3167,3191,3497,3774,3993,3618,3403,3172,3173,3030,3071,3249,3232,3605,3932,3547,3269,3056,2998,3075,3164,3357,3810,4300,4253,3915,3533,3140,3084,3108,3090,3516,5209,4843,4792,4002,3535,3077,3320,3126,3487,4336,4854,5200,4851,4179,3455,2934,2744,2474,2282,2165,2119,2014,1866,1774,1520,1577,1476,1324,1321,1313,1284,1092,1093,921,930,995,881,941,728,693,667,644,691,599,577,494,529,479,403,392,450]
[78,90,80,98,130,94,168,198,168,332,319,318,420,541,678,857,1004,1260,1626,2393,4173,5934,5965,4900,3467,2851,2282,2536,2161,2565,3611,4567,4556,3817,2958,2604,2331,2463,2737,2872,3446,4089,4228,3518,3055,2681,2820,2916,2772,3207,3784,4487,4287,3814,3375,3003,3052,3132,3177,3641,4259,4805,4548,3975,3397,3749,3013,3219,3178,3427,3992,3989,3798,3320,3126,3284,3102,3152,3108,3271,3486,3726,3424,3101,3210,3023,3031,3260,3228,3801,4327,4534,4144,3429,3325,3034,2997,3141,3462,4126,4997,5022,5321,3721,3334,3107,3276,3629,3965,5071,5555,5208,4549,3785,3132,2663,2443,2406,2121,2099,2056,1839,1923,1626,1643,1500,1366,1295,1240,1221,1169,1057,1001,935,923,917,806,775,708,885,645,635,568,491,540,513,413,541,434,386]
[76,74,50,84,76,160,161,160,266,230,304,427,439,574,650,863,965,1247,1572,1973,3112,4197,4788,3890,2996,2638,2113,2172,2224,2482,2818,3272,3705,3382,2693,2572,2454,2865,2633,2888,3347,3451,3397,3103,2848,2974,2782,2879,2993,3105,3512,3632,3671,3428,3106,2944,2916,3036,3247,3538,3906,4308,4121,3768,3227,3117,3086,3040,3203,3299,3472,3573,3437,3365,3728,3118,2990,3158,3136,3437,3392,3441,3353,3255,3068,3112,2913,3123,3157,3278,3801,4127,3774,3338,3188,3149,3104,3376,3438,3786,4129,4533,3978,3515,3316,3266,3182,3354,3720,4276,4775,4796,5107,3611,3256,2803,2475,2422,2254,2096,1944,1859,1786,1656,1593,1487,1510,1317,1305,1249,1125,1048,1022,1033,981,879,813,709,704,734,657,629,642,563,487,473,478,473,467,494]
[70,88,86,155,100,229,140,230,230,287,390,380,500,568,723,777,954,1254,1586,1719,2526,3197,3245,2695,2433,2188,1978,2246,2215,2331,2547,2736,2693,2662,2535,2365,2276,2328,2482,2696,3506,3008,3038,2885,2754,2834,2634,2916,2951,3007,3135,3345,3243,3205,3061,2927,3063,3038,3221,3459,3607,3593,3571,3343,3297,3317,3107,3153,3275,3172,3486,3400,3202,3139,3215,3155,3177,3843,3255,3243,3259,3377,3159,3206,3100,3095,2998,3136,3046,3166,3566,3501,3332,3424,3171,3184,3208,3202,3228,3519,3681,3562,3453,3412,3206,2979,3117,3134,3299,3729,4023,3651,3485,3278,2913,3237,2522,2328,2143,2088,1856,1937,1687,1688,1613,1462,1367,1294,1230,1148,1033,1121,980,948,938,796,766,803,807,671,586,547,555,539,487,509,428,389,416,431]
[66,76,84,100,90,115,166,287,297,255,359,419,470,626,696,906,1058,1087,1280,1494,1877,2205,2306,2221,1807,1909,2024,2244,2214,2241,2336,2412,2382,2319,2371,2257,2257,2422,2542,2712,2762,2698,2922,3265,2634,2656,2749,2776,3000,3060,3189,3201,3231,3081,2914,2819,2807,3046,3329,3238,3313,3389,3565,3271,3262,3248,3262,3092,3143,3279,3193,3326,3314,3152,3159,2875,3110,3054,3071,3164,3757,3598,3218,3136,3130,3044,3014,3224,3038,3302,3383,3299,3482,3219,3234,2918,3088,3074,3186,3395,3457,3523,3214,3342,3190,3137,2987,3044,3250,3289,3410,3245,3265,2963,2784,2661,2543,2855,2265,1980,1791,1827,1792,1579,1566,1551,1488,1272,1312,1317,1222,1031,1049,937,962,819,767,798,707,695,614,558,632,518,500,591,445,418,402,450]
[72,190,174,84,225,209,274,275,345,279,359,513,670,669,911,1042,1178,1432,1622,1735,1873,1933,1925,1747,1931,1898,2109,2296,2499,2423,2402,2311,2285,2360,2204,2339,2392,2518,2625,2807,2765,2754,2772,2855,3120,2598,2939,3173,3181,3186,3094,2956,3136,2970,2893,2848,3058,3155,3320,3230,3366,3378,3394,3236,2972,3097,3042,3113,3335,3151,3328,3296,2974,3022,2951,2941,3169,3231,3134,3356,3341,3928,3170,3047,2954,3103,2980,3165,3119,3469,3474,3392,3266,3212,3170,3122,3170,3156,3319,3181,3425,3367,3286,3118,2879,3029,3091,3431,3217,3218,3144,3045,2904,2834,2620,2546,2295,2238,2433,1905,1788,1688,1739,1496,1504,1436,1268,1274,1268,1150,1001,887,936,924,883,814,820,724,650,690,637,552,461,555,430,413,423,409,350,292]
[84,72,70,88,92,160,239,159,199,320,359,326,453,592,776,793,941,1269,1290,1680,1787,1964,2042,1970,1887,1868,1886,2170,2323,2406,2645,2434,2516,2424,2191,2152,2179,2350,2566,2708,2920,2882,2892,2812,2624,2685,3169,2813,3104,3235,3193,3380,3090,3160,3060,3018,3029,2864,3192,3229,3298,3381,3345,3119,3086,2973,2984,3040,3218,3184,3228,3375,3275,3360,3128,2928,3170,3167,3433,3340,3262,3310,3463,3848,3142,3057,2981,3081,2987,3221,3294,3408,3322,3215,3198,2992,3208,3061,3269,3356,3352,3233,3185,3274,3187,3075,2964,3143,3119,3047,3212,3018,3077,2824,2685,2596,2586,2283,2214,2017,1954,2305,1640,1732,1660,1476,1327,1271,1316,1216,1144,1024,1018,954,883,833,747,735,745,749,655,590,520,486,481,513,457,410,451,399]
[56,66,74,100,90,180,203,260,265,239,300,407,627,630,654,868,1029,1212,1399,1633,1929,2265,2353,2177,1946,1820,1944,2120,2452,2568,2627,2727,2570,2466,2361,2307,2246,2571,2638,2800,2890,3063,2926,2840,2849,2637,2680,2687,2981,3746,3263,3328,3272,3057,3160,3116,2967,3150,3205,3356,3449,3527,3506,3335,3297,3127,3058,3092,3286,3544,3394,3481,3389,3189,3213,3148,3060,3047,3298,3314,3409,3450,3320,3335,3222,3256,3686,3097,3148,3316,3277,3388,3411,3273,3294,3145,3147,3235,3389,3378,3395,3481,3371,3155,3074,2994,2974,2819,3146,3361,3175,3358,2949,2940,2676,2710,2527,2400,2247,2181,2023,1933,1716,1616,1754,1613,1333,1306,1263,1252,1124,1110,1003,965,877,830,752,793,692,687,687,645,573,589,576,489,431,463,371,395]
[72,78,167,124,100,92,221,175,250,300,299,382,471,524,709,955,1175,1380,1714,2266,2683,3423,3082,2815,2435,2181,2128,2124,2395,2806,2907,3085,3100,2827,2641,2543,2385,2591,2686,2811,3339,3326,3177,3002,2941,2805,2984,2860,3019,3209,3528,3704,4124,3170,3163,3143,2961,3135,3431,3684,3786,3722,3607,3329,3260,3094,2989,3183,3400,3536,3469,3469,3618,3231,3098,3040,3080,3267,3212,3532,3607,3570,3483,3230,3303,3207,3043,3164,3278,4034,3533,3489,3334,3191,3207,3179,3140,3433,3436,3719,3788,3867,3614,3356,3176,3089,3174,3035,3447,3351,3575,3751,3231,2961,2711,2524,2429,2316,2195,2068,1984,1922,1763,1695,1539,1431,1330,1574,1179,1198,1115,1020,994,954,949,777,724,724,674,676,558,529,544,478,514,435,394,427,467,338]
[217,86,70,187,152,123,221,175,292,315,279,412,487,530,681,968,1036,1480,2371,2851,4053,4491,4359,3746,3111,2651,2651,2358,2554,2996,3780,3813,3936,3546,2910,2715,2566,2714,2854,3070,4036,4064,3907,3649,3179,3068,3097,2998,3063,3604,4314,4472,3864,3696,3324,4133,3108,3192,3540,4115,4368,4634,4258,3991,3612,3398,3248,3394,3714,3939,4356,4234,4054,3668,3310,3500,3254,3389,3547,4073,4446,4221,4091,3571,3556,3431,3353,3310,3355,3906,4126,3986,3858,4118,3593,3238,3425,3463,3858,4350,4464,4214,4040,3709,3348,3155,3233,3450,3736,4176,4130,4106,3622,3221,2951,2638,2549,2301,2175,2106,2002,1940,1830,1741,1533,1435,1425,1341,1166,1138,1327,968,920,911,942,836,845,696,695,698,660,657,547,569,574,433,525,512,389,380]
[74,72,94,98,143,198,182,212,272,336,315,468,526,607,662,861,1236,1498,2040,3217,5337,7804,5669,5075,3976,3272,2735,2691,2850,3247,4777,5457,4833,4222,3502,2905,2761,2690,3108,3665,4935,5000,4768,4241,3674,3457,3105,3207,3433,3934,5208,5480,4808,4213,3717,3627,3249,3289,4328,4418,5263,5303,4937,4148,3825,3466,3508,3585,3787,4540,5151,4948,4553,4158,3559,3519,3446,3696,3664,4602,5351,4958,4478,4008,3521,3550,3385,3463,3686,4311,4811,4608,4204,3792,3398,4226,3585,3860,4342,5280,5377,4832,4631,3944,3548,3170,3413,3544,4055,5214,5595,4839,4370,3531,3087,2778,2584,2336,2285,2157,2133,1866,1842,1711,1687,1599,1423,1429,1297,1353,1108,1011,1081,1207,921,862,801,788,775,645,700,652,477,509,574,455,476,384,350,366]
[78,74,76,90,176,220,192,226,253,310,337,428,478,602,653,884,1081,1347,1908,3271,4937,7130,7040,5295,4852,3277,2644,2671,2859,3128,4633,5624,5413,4394,3659,3098,2751,2905,3154,3609,4621,5616,5264,4534,3799,3405,3040,3326,3512,4024,5059,5847,5421,4427,3867,3496,3382,3559,3726,4263,5082,6786,5087,4527,3797,3554,3429,3637,3807,4636,5382,5434,4957,4231,3888,3467,3506,3571,3854,4536,5162,5321,5046,4147,3887,3530,3348,3593,3687,4163,4787,4754,4423,3841,3441,3300,3363,3920,4150,5824,5535,5493,4665,4277,3727,3470,3521,3547,3896,5004,5726,5142,4484,3695,3047,2908,2477,2400,2349,2075,2138,1839,1786,1756,1698,1487,1402,1391,1249,1181,1193,1023,1046,926,865,898,890,702,702,572,621,575,587,514,474,486,494,416,355,409]
[66,82,125,94,127,208,196,223,280,280,423,473,528,545,629,962,1042,1422,1797,2368,3783,5044,5234,4391,3452,2941,2750,3250,2826,2919,3450,4238,4399,3809,3218,3000,2695,2906,3029,3373,4058,4717,4570,3905,3620,3342,3074,3115,3404,3820,4186,4725,4543,4051,3634,3524,3264,3313,3643,4085,4614,5075,4715,4125,4294,3522,3398,3486,3572,4198,4520,4950,5039,3800,3727,3553,3462,3510,3595,4078,4502,4746,4415,3790,3642,3515,3402,3431,3488,3882,4325,4132,3998,3591,3383,3316,3458,3556,4020,4282,5050,4693,5362,3839,3501,3342,3419,3396,3736,3923,4477,4228,3718,3448,2837,2792,2333,2324,2217,2124,1925,1870,1779,1730,1525,1411,1426,1408,1312,1217,1074,1034,1071,982,971,879,777,769,706,802,703,635,585,481,509,474,464,430,451,429]
[82,76,96,224,184,151,214,274,280,291,383,408,574,679,698,892,1032,1243,1547,2003,2489,3372,3669,3202,2586,2532,2320,2412,2503,2725,3578,3270,3201,2977,2793,2666,2568,2660,2750,3149,3217,3605,3673,3528,3275,3043,2963,3081,3212,3496,3567,4208,3777,3364,3401,3314,3221,3154,3406,3514,3797,3826,3901,3785,3518,3285,3317,3953,3428,3620,3908,3990,3787,3626,3465,3304,3355,3409,3403,3587,3872,4124,3866,3545,3346,3257,3293,3250,3352,3431,3648,3566,3473,3451,3300,3036,3296,3452,3473,3649,3937,3930,3720,3559,3287,3732,3034,3093,3367,3448,3634,3489,3197,3128,2859,2676,2450,2367,2281,2225,2060,1764,1834,1835,1563,1470,1421,1404,1295,1216,1199,1097,1131,880,930,817,757,732,644,638,624,549,658,577,430,432,516,340,401,308]
[74,184,98,96,183,185,211,233,268,277,364,472,496,609,656,999,1080,1149,1361,1636,1919,2300,2505,2517,2073,2114,2224,2367,2581,2557,2597,2929,2902,3484,2392,2641,2644,2526,2720,2890,3039,3108,3203,3168,2871,2894,2997,2919,3137,3298,3391,3503,3477,3499,3206,3219,3149,3161,3163,3398,3437,3606,3395,3591,3437,3200,3120,3305,3305,3223,4078,3585,3649,3598,3331,3289,3197,3121,3165,3550,3569,3500,3429,3386,3332,3297,3214,3226,3193,3277,3421,3353,3397,3394,3365,3141,3051,3259,3232,3325,3488,3490,3244,3348,3142,3116,2843,2972,3812,3055,3092,3086,3014,2869,2683,2537,2527,2139,2208,1884,1899,1798,1679,1619,1577,1482,1362,1504,1260,1138,1115,1065,1027,944,809,783,765,729,728,753,648,678,566,520,533,571,389,438,396,320]
[80,80,92,148,172,164,185,255,317,325,356,460,485,657,692,850,1111,1196,1283,1625,1809,1961,2162,2069,1970,2043,2225,2345,2502,2563,2829,2738,2703,2687,2559,2541,3036,2668,2873,3096,3031,2937,2962,2915,3003,2993,2805,3046,3162,3252,3338,3257,3161,3117,3131,3185,3093,3179,3341,3348,3428,3401,3421,3187,3186,3162,2968,3123,3383,3423,3509,3402,3571,3981,3320,3257,3046,3078,3378,3361,3609,3490,3451,3347,3251,3235,2973,3106,3100,3279,3467,3389,3291,3202,3123,3120,3027,3202,3069,3079,3148,3414,3463,3280,3093,2807,2860,2861,3086,3109,2983,3737,2842,2756,2598,2425,2385,2278,2281,2146,1976,1872,1760,1630,1520,1500,1395,1347,1266,1194,1122,1013,966,952,1022,913,802,812,638,593,617,498,484,519,500,495,531,384,435,345]
[62,72,199,137,158,178,221,212,319,307,377,425,605,677,809,859,959,1081,1312,1556,1712,1969,2018,2047,1850,1991,2065,2212,2473,2710,2753,2839,2870,2676,2606,2544,2508,2597,2853,3578,3050,2942,3029,2977,2686,2907,2850,2810,3138,3409,3399,3486,3292,3178,3039,3166,3039,2975,3232,3431,3333,3350,3483,3397,3389,3261,3265,3086,3373,3378,3462,3496,3336,3259,3272,3098,3778,3236,3372,3344,3440,3449,3526,3276,3220,3099,2997,3035,3255,3270,3566,3320,3303,3201,3268,3037,3059,2962,3100,3206,3280,3220,3210,3179,3138,2960,2823,2842,2945,2892,2857,2857,2781,3052,2611,2527,2267,2100,2084,1999,1774,1923,1709,1623,1521,1523,1449,1346,1231,1158,1110,930,1085,855,831,760,813,750,698,603,674,504,530,521,503,450,442,463,338,332]
[76,121,100,204,216,222,216,317,308,393,355,428,580,642,709,965,1004,1209,1497,1666,2058,2197,2216,2102,1893,1808,2017,2347,2572,2977,3139,3037,3027,2993,2769,2551,2579,2768,2884,3430,3227,3329,3733,3012,2792,3011,2984,3065,3176,3497,3608,3495,3380,3426,3257,3266,3046,3046,3267,3527,3479,3600,3465,3323,3222,3309,3217,3338,3600,3474,3561,3561,3613,3324,3084,3323,3046,3164,3509,4150,3472,3703,3267,3448,3338,3247,3023,3141,3321,3153,3294,3508,3401,3163,3258,3227,3068,3151,3024,3198,3301,3345,3228,3189,3020,2857,2973,2808,3033,3041,2915,2837,2731,2523,2658,2452,2323,2509,2085,2175,2012,1729,1862,1601,1535,1484,1403,1379,1215,1213,979,897,993,938,895,848,762,685,704,588,690,609,463,545,529,463,404,422,385,410]
[86,92,94,162,114,154,259,204,320,329,403,400,544,703,838,980,1079,1258,1751,2028,2303,2750,2756,2306,2114,2067,2198,2488,2778,3381,3736,3774,3710,3191,3227,2939,3028,2864,2983,3364,3652,3794,3505,3136,3145,3768,3168,3138,3445,3744,4118,3863,3808,3389,3375,3233,3184,3201,3430,3693,4016,4028,3752,3540,3314,3152,3281,3426,3659,3801,3870,3942,3693,3699,3426,3267,3231,3407,3552,3732,4124,3633,3620,4092,3347,3280,3264,3216,3372,3594,3767,3490,3476,3359,3038,3104,3005,3111,3273,3561,3488,3298,3267,3136,3165,2901,2884,2965,2915,2944,3064,2932,2855,2677,2548,2435,2257,2155,2030,2097,2292,1751,1604,1582,1574,1409,1303,1285,1213,1207,1132,998,942,838,862,739,806,700,702,698,624,581,568,510,448,506,369,378,397,340]
[74,80,204,160,181,165,220,276,264,272,341,514,607,696,837,936,1183,1555,1787,2269,3411,4154,3840,3067,2820,2365,2362,2476,3027,3623,4672,5236,4871,4203,3803,3265,3236,3079,3274,3527,4311,4627,4236,3868,3406,3406,3260,3308,3391,4857,4702,4761,4120,4084,3721,3651,3376,3516,3664,4274,4612,4668,4127,3898,3668,3535,3499,3390,3964,4396,4611,4770,4178,3815,3753,3613,3539,3601,3669,4311,4627,4494,4189,3677,3710,3443,4273,3492,3494,4313,4243,4044,3841,3583,3415,3221,3194,3326,3259,3599,3815,3984,3500,3241,3174,2974,2795,3077,3139,3307,3734,3377,2991,2729,2568,2396,2216,2296,1989,2065,1715,1939,1770,1956,1434,1533,1376,1184,1202,1160,1081,975,881,915,791,814,754,773,733,635,540,591,540,517,487,414,377,467,352,322]
[92,117,82,205,171,171,250,227,250,306,337,460,508,548,966,977,1147,1505,1851,2855,4741,5757,5337,4179,3141,2696,2368,2640,3117,4206,5577,6372,5609,4942,4146,3515,3199,3220,3295,4031,5258,5852,5208,4330,4101,3444,3357,3427,3729,4345,5624,5646,6308,4462,4033,3652,3833,3515,3969,4810,5609,5219,4860,4257,3914,3762,3434,3641,3897,4916,5683,5394,4931,4325,4243,3122,3434,3511,4010,4836,5343,5236,4805,4230,3865,3642,3451,3446,3899,5461,4954,4681,4157,3708,3295,3359,3294,3114,3361,4013,4553,4203,3812,3383,3031,2900,3012,2910,3199,4090,4311,4284,3431,2987,2693,2557,2349,2156,2086,2089,1851,1909,1622,1598,1472,1445,1343,1360,1254,1122,1125,1008,1042,829,876,741,667,756,680,641,600,519,627,501,465,375,398,464,378,379]
[86,149,74,195,206,183,222,260,297,417,390,446,555,576,670,881,1171,1688,1800,2608,4860,6058,5758,4449,3375,2630,2354,2693,3113,4103,5664,6225,5913,5026,4347,3486,3252,3124,3386,3961,5294,5571,5314,4447,3810,3456,3458,3601,3738,4703,5909,6086,5335,4764,4503,3671,3526,3644,4050,4936,5459,5488,4926,4427,3848,3691,3361,3673,3955,4955,5639,5814,5050,4329,3986,3613,3550,3707,3901,4673,5407,5568,4967,4324,3634,3602,3412,3786,3843,4659,5422,6033,4442,3729,3403,3270,3181,3372,3447,4113,4493,4636,3813,3236,3209,2941,2821,3124,3504,3994,4338,4210,3285,2936,2605,2238,2315,2225,2195,2024,1916,1784,1727,1613,1454,1410,1285,1190,1444,1120,1099,1035,944,902,891,808,757,748,669,690,594,544,569,525,528,504,393,430,441,331]
[70,140,78,192,174,204,200,321,250,368,490,550,658,658,867,944,1263,1338,1734,2380,3943,4604,4245,3248,2510,2387,2378,2710,2991,3614,4533,5041,4687,4220,3380,3466,2957,3027,3236,4006,4260,4999,4098,3681,3553,3125,3303,3552,3685,4428,5992,5189,4478,3897,3577,3466,3332,3613,3898,4461,5002,4854,4153,3676,3560,3319,3422,3644,4155,4797,4944,4888,4445,3642,3602,3511,3292,3693,4088,4339,5015,4723,4168,3610,3503,3378,3469,3555,3837,4119,5359,4309,3864,3446,3374,3352,3327,3081,3829,3664,3789,3546,3368,3100,3058,3052,3046,2952,3175,3579,3389,3329,2825,2633,2360,2386,2288,2258,2053,2069,1915,1678,1609,1560,1547,1357,1400,1172,1464,1031,1032,924,970,882,809,760,729,676,655,626,612,587,460,466,509,445,467,366,329,278]
[54,125,98,229,178,133,183,253,281,265,307,432,536,615,833,843,1040,1257,1377,1673,2560,2717,2976,2761,2596,2193,2219,2408,2767,3042,3331,3897,3831,3376,3246,2986,2822,2851,3063,3139,3414,3756,3656,3393,3209,3132,3127,3199,3447,3594,4061,4202,4158,3784,3353,3323,3370,4029,3558,3517,3884,3919,3930,3592,3492,3344,3191,3344,3436,3643,4056,4213,3913,3671,3489,3278,3242,3252,3400,3743,3950,3994,3778,3653,3480,3192,3194,3287,3265,3521,3607,3898,3531,3382,4016,3103,3228,3029,3203,3277,3219,3272,3332,2993,3084,3091,3023,3033,3150,2965,2839,3115,2767,2726,2464,2307,2354,2183,2123,2043,1927,1843,1620,1535,1529,1366,1367,1286,1164,1234,986,1121,1023,832,910,796,765,788,683,681,576,530,468,532,490,430,306,355,358,355]
[88,72,94,141,141,188,228,216,335,237,451,382,506,628,782,972,1141,1088,1294,1471,1671,2072,2684,2133,1959,1999,2224,2265,2349,2674,2935,3193,3061,2927,2765,2709,2619,2834,2852,2923,3035,3048,3122,3107,2871,2810,3088,2945,3240,3391,3539,3535,3432,3507,3235,3309,2996,3165,3210,3426,4191,3655,3592,3353,3352,3042,3096,2967,3378,3344,3363,3375,3455,3378,3197,2942,3017,3038,3393,3282,3346,3506,3490,3543,3283,3041,3121,3160,3026,3274,3182,3348,3234,3247,3192,2979,3024,3630,3125,3122,3043,3243,3097,3135,2913,2787,2933,2867,2758,2645,2667,2951,2613,2698,2392,2236,2327,2173,2110,1973,1863,1733,1668,1652,1407,1385,1335,1282,1187,1180,1025,1020,896,855,841,932,711,684,688,628,577,563,512,467,482,446,460,398,283,323]
[82,181,96,164,224,242,231,209,324,320,377,408,553,611,733,852,1180,1198,1301,1489,1670,1755,1960,1901,1860,1974,2504,2301,2348,2806,2653,2719,2586,2718,2538,2611,2612,2574,2760,3036,3020,2954,2984,2899,2914,2800,2785,2907,2998,3381,3507,3264,3307,3282,3353,3109,2999,3089,3114,3453,3442,3334,3323,4060,3123,3202,3085,3021,3238,3274,3375,3142,3241,3172,3313,3031,2973,3093,3041,3418,3289,3489,3227,3304,3285,3159,3068,3098,3081,3258,3271,3298,3443,3125,3233,3125,2976,2881,3034,3288,3737,3131,3093,3043,3055,2832,2688,2627,2799,2777,2773,2750,2818,2599,2592,2316,2109,2074,2058,2040,1818,1909,1635,1562,1471,1384,1299,1302,1130,1162,1048,1002,944,731,860,774,721,856,651,568,616,457,541,488,403,303,436,431,382,353]
[70,84,147,130,152,178,257,243,242,387,396,461,568,591,776,940,958,1160,1259,1452,1754,1895,2161,1979,1814,1945,2132,2154,2690,2550,2721,2708,2824,2568,2356,2494,2573,2677,2928,3162,3132,2972,3000,2810,3030,2813,2753,2946,3112,3446,3369,3418,3296,3203,3328,3145,2942,3085,3349,3230,3410,3538,3291,3230,3182,3021,3614,3002,3281,3268,3273,3223,3148,3245,3128,3021,2955,3130,3202,3325,3403,3343,3442,3309,3106,2967,3007,2908,3049,3346,3283,3215,3330,3242,3160,3122,2958,3044,3059,3133,3095,3296,3318,3663,2953,2939,2744,2832,2880,2931,2676,2744,2547,2569,2434,2180,2146,2050,2016,1991,1751,1752,1688,1670,1362,1359,1358,1186,1172,1167,1097,1008,948,847,792,777,658,667,599,666,634,520,425,494,416,346,400,316,343,387]
[76,88,84,234,203,258,244,307,307,216,439,387,497,584,798,901,952,1194,1347,1718,1924,2016,2105,2027,1799,1868,2021,2031,2425,2739,2661,3353,2704,2590,2480,2426,2519,2635,2763,3051,3136,3146,3083,2860,2925,2863,2824,2845,3181,3280,3311,3468,3234,2964,3040,3098,2926,3076,3331,3579,3553,3369,3351,3130,3069,3055,3020,2947,3810,3228,3250,3162,3082,3049,2860,2991,2930,3150,3222,3316,3492,3293,3180,2963,3024,3096,2967,2990,3285,3334,3217,3431,3286,3223,2868,3036,2897,3005,2987,3215,3205,3194,3305,2984,2943,2946,3171,2846,2881,2574,2815,2673,2744,2434,2346,2227,2099,2036,1919,1924,1797,1624,1656,1625,1459,1363,1257,1203,1222,1000,957,958,860,772,855,659,734,642,599,595,604,460,481,531,407,417,337,274,326,370]
[130,96,231,182,195,180,214,205,250,307,340,397,511,603,752,878,1092,1232,1638,1814,2264,2834,2708,2490,2059,2059,2110,2192,2395,2598,2877,3334,3183,2985,3189,2522,2684,2744,3017,3182,3372,3530,3291,3013,2829,2903,2764,2912,3149,3187,3738,3794,3529,3315,3133,3086,3061,3127,3436,3537,3948,4031,3801,3363,3228,2993,3042,3001,3106,3119,3437,3469,3937,3139,2965,2988,2803,3116,3205,3574,3682,3897,3442,3230,3089,3024,3017,3075,3478,3533,3754,3530,3514,3383,3124,2943,2884,2992,3227,3340,3693,3723,3185,3169,2982,2912,2777,2700,2812,3442,2959,2896,2713,2535,2432,2300,2065,2018,2046,1896,1630,1733,1487,1395,1347,1296,1213,1257,1039,1030,982,983,822,756,798,735,661,638,598,574,493,452,433,476,460,477,362,392,339,344]
[92,92,172,231,153,231,196,185,257,377,395,435,535,621,852,927,1156,1534,1780,2595,4059,4497,4162,3417,2766,2531,2396,2478,2634,3207,4097,4159,3827,3527,3007,2921,2876,3351,3069,3767,4230,4095,3758,3458,3153,3095,2976,3179,3317,3988,4487,4295,4043,3702,3295,3216,3298,3434,3664,4280,4830,4449,4085,3754,3524,3280,3053,3225,3383,3564,4090,3984,3586,3285,3696,3120,2999,3265,3616,4276,4564,4218,3796,3508,3404,3076,3128,3304,3694,4231,4463,4366,4041,3472,3248,3169,3238,3131,3585,3967,4353,4185,3811,3106,2986,3011,2816,2897,2979,3481,3570,3325,3512,2788,2330,2099,2127,2128,2040,1888,1849,1749,1517,1491,1382,1323,1154,1201,1068,998,891,987,780,807,781,737,740,634,677,568,613,457,543,469,461,468,433,424,402,383]
[94,164,192,189,245,209,193,250,307,364,391,446,501,572,806,1020,1103,1588,2135,3392,5226,6179,5639,4870,3209,2934,2491,2581,2931,3816,5037,5523,4806,4476,3635,3120,2841,2996,3189,3981,6242,5028,4764,3968,3376,3117,3044,3350,3628,4800,5794,5454,5162,4246,3739,3532,3373,3470,3845,4696,5385,5391,5024,4292,3892,3485,3144,3260,3583,4336,4894,4625,4167,3555,3365,3207,3296,3837,3962,4979,5344,4906,4362,3781,3291,3139,3205,3468,4097,5109,5342,4940,4262,3622,3365,3281,3260,3360,3667,4855,5217,5029,4169,3592,3141,2859,2971,3030,3541,4146,4337,4074,3073,2622,2678,2944,2228,2080,2013,1862,1707,1647,1652,1464,1358,1285,1268,1199,1114,1037,923,875,894,802,764,694,637,637,555,614,542,468,505,466,450,397,395,380,309,346]
[88,131,100,200,220,197,224,258,329,285,433,492,542,592,661,988,1015,1482,1697,2937,5279,6567,6274,5270,3791,3030,2506,2401,2823,3485,4980,5715,5455,4571,3667,3295,2900,2968,3201,3814,4835,5415,4962,4938,3617,3156,2943,3376,3604,4434,5242,5552,5079,4355,3467,3387,3413,3439,3815,4764,5440,5754,5233,4221,3746,3431,2996,3208,3116,4103,4862,4709,4205,3536,3211,2982,2865,3469,3637,4339,5187,6286,4568,3893,3495,3070,3173,3371,3806,4843,5172,5392,4642,4085,3308,3075,3160,3323,3665,4432,5324,5136,4175,3495,3163,3029,3126,3005,3311,3816,4373,3980,3369,2736,2545,2421,2270,2118,2241,1938,1742,1724,1604,1389,1446,1258,1128,1157,1024,1133,1014,895,894,817,737,779,623,632,536,474,491,548,545,458,364,436,377,393,376,320]
[92,98,98,100,215,189,262,283,276,464,371,490,604,592,835,839,1074,1376,1509,2138,3184,4610,4774,3853,3021,2640,2404,2335,2591,2846,3435,4338,4589,3963,3284,3120,2790,2792,2996,3464,3840,4388,4080,3635,3242,2999,3413,2978,3198,3547,4202,4517,4321,3586,3227,3193,3111,3166,3450,4012,4474,4904,4411,3795,3465,3084,3221,3092,2996,3575,3841,3715,3543,3330,3059,2864,2852,3010,3376,3612,4392,4426,4029,4151,3366,3059,2973,3141,3384,3833,4369,4335,3887,3435,2978,3083,3173,3193,3239,3558,4039,3993,3676,3163,3050,2848,2967,2977,3083,3240,3550,3422,2916,2555,2487,2466,2279,2043,2035,1920,1776,2019,1442,1460,1283,1344,1055,1066,1083,1011,969,866,802,715,706,587,658,606,556,490,438,500,393,387,402,318,327,355,291,230]
[66,66,98,155,206,205,220,178,287,391,403,388,705,595,701,965,1010,1157,1364,1827,2408,2670,2926,2725,2527,2215,2295,2355,2517,2708,2785,3431,3252,3006,2989,2744,2733,2738,2981,3018,3087,3322,3234,3167,2866,2827,2646,2903,3009,3939,3488,3605,3434,3158,3276,3143,2846,3015,3155,3542,3928,3722,3746,3327,3237,3067,2961,3128,2780,3178,3310,3317,3121,2999,2908,2936,2960,3008,3095,3213,3537,3690,3356,3202,3091,2971,3505,3015,3150,3496,3589,3652,3379,3281,2831,2914,2859,3006,3215,3301,3544,3382,3286,3068,2832,2913,2805,2809,2846,2911,3091,2955,2715,2542,2439,2274,2165,2148,1990,1847,1625,1692,1569,1417,1647,1195,1102,1103,1160,1024,922,910,848,801,820,737,619,611,593,539,500,485,436,442,431,390,342,352,324,364]
[82,139,235,212,234,207,199,263,280,295,364,416,507,590,742,1117,1076,1198,1312,1550,1890,1950,2236,2207,2178,2021,2172,2260,2563,2484,2722,2720,2717,2678,2475,2553,2539,2591,2743,2831,3052,3099,2965,2753,2801,2761,2543,2743,2731,2923,3104,3119,3712,3069,2790,2817,2734,2951,2982,3335,3252,3337,3353,3317,3090,2748,2805,2934,2835,3102,3040,3062,3045,2968,2814,2783,2807,2981,2973,3022,3138,3308,3166,2983,3059,2775,2747,2801,2904,3569,3203,3166,3169,3018,3038,2924,2708,2832,3073,3110,2973,3215,3043,2973,2923,2682,2751,2815,2835,3020,2976,2809,2755,2602,2539,2363,2184,2087,2047,1883,1765,1782,1486,1436,1374,1335,1447,1016,1039,998,877,941,939,864,684,697,768,626,546,547,450,406,480,403,402,315,324,309,314,250]
[90,189,92,236,225,176,197,270,323,323,414,476,466,585,753,927,943,1035,1556,1526,1636,1880,1952,1867,1848,1856,2154,2305,2393,2468,2597,2647,2534,2596,2495,2238,2462,2499,2563,2809,2790,2944,2870,2644,2678,2611,2449,2476,2696,2812,2854,2834,2835,2828,2918,3168,2701,2860,2930,2959,3002,2920,3054,3050,3002,2788,2741,2813,2796,2903,2977,2928,2895,3099,2691,2708,2792,2753,2852,2992,3088,2905,3202,3067,2883,2734,2742,2722,2816,2822,2947,2894,3067,3505,2893,2706,2651,2821,2997,2917,3073,3090,3071,3030,2790,2760,2776,2745,2904,2739,2724,2857,2592,2486,2441,2235,2159,2127,2063,1844,1686,1705,1433,1452,1350,1260,1191,1132,1138,994,1073,902,831,814,733,700,635,623,531,549,486,444,413,424,377,349,346,304,228,341]
[34,84,172,108,192,221,161,303,276,322,395,442,455,697,706,946,1004,1149,1132,1450,1805,2201,2065,1915,1826,1840,1956,2297,2388,2718,2638,2560,2509,2544,2405,2473,2125,2470,2523,2728,2825,2880,2777,2576,2602,2523,2472,2460,2654,2806,2835,2695,2797,2804,2642,2516,2465,2539,3367,2977,3073,2970,2917,2697,2770,2656,2676,2839,2786,3053,2917,3039,2945,3017,2590,2663,2616,2735,2812,2919,2761,3004,3010,2809,2788,2589,2523,2735,2744,2950,2913,3053,2914,2840,2714,2734,3131,2766,2824,2888,3002,3086,3007,2878,2834,2713,2526,2562,2805,2793,2888,2751,2688,2552,2395,2135,2176,2043,2014,1851,1807,1614,1525,1472,1343,1191,1168,1088,1010,945,812,843,813,858,743,664,641,620,552,490,507,418,410,357,346,349,420,349,286,237]
[88,168,84,100,248,166,196,230,299,265,330,458,557,595,760,914,1020,1186,1430,1628,1955,2128,2162,2080,2046,1752,1861,2070,2259,2595,2747,2720,2677,2704,2489,2290,2371,2442,2635,2799,2803,3120,2870,2606,2358,2521,2426,2449,2517,2767,2642,2693,2552,2740,2525,2511,2616,2591,2785,2915,2796,3175,3722,2821,2758,2711,2494,2743,2928,3134,3024,3001,3012,2804,2737,2617,2664,2496,2891,2815,3143,3121,2953,2869,2719,2559,2540,2607,2832,2845,2908,2858,2948,2814,2727,2669,2832,2589,2723,3673,3125,3140,2977,2740,2799,2675,2653,2715,2632,3186,2791,2934,2797,2476,2460,2377,2059,2151,1949,1944,1773,1727,1578,1297,1320,1169,1147,1208,1036,916,870,876,762,700,623,611,696,521,494,517,535,426,418,322,322,425,313,292,320,328]
[192,176,141,166,231,217,217,291,237,345,364,389,459,648,816,805,1104,1408,1568,1904,2340,2769,2670,2407,2153,1874,2223,2205,2372,2824,3172,3061,3022,2671,2461,2479,2567,2573,2634,2885,3167,3123,3098,2702,2449,2567,2389,2307,2477,2568,2841,2707,2830,2653,2553,2516,2411,2628,2839,2910,3183,3117,3135,3453,2788,2676,2613,2625,2987,3103,3294,3382,3061,2889,2693,2640,2387,2850,2932,3087,3455,3303,3120,2917,2849,2802,2608,2629,2936,3138,3098,3164,2917,2911,2612,2715,2662,2852,2944,3017,3312,3882,2826,2762,2483,2554,2588,2753,2918,3248,3323,3249,3027,2751,2572,2312,2182,1849,1991,1749,1663,1543,1395,1250,1264,1114,1069,1005,1009,966,872,762,733,678,593,591,517,558,629,434,429,405,433,344,402,364,279,316,303,255]
[82,189,131,159,180,127,187,234,243,263,334,385,453,548,677,905,1006,1334,1618,2219,3300,3893,3794,3327,2762,2326,2092,2174,2380,3790,3898,4368,3892,3373,2948,2789,2516,2438,2701,3204,3816,3862,4028,3163,2810,2715,2530,2334,2485,2458,3113,3334,3067,2662,2605,2426,2477,2578,2821,3353,3845,3968,3607,3225,2886,2832,3215,2833,3045,3755,3876,4054,3688,3139,3078,2687,2733,2723,3068,3573,3859,4137,3662,3211,2876,2711,2592,2822,2956,3588,3786,3948,3566,3218,2949,2828,2600,2911,2990,3618,4160,4164,3677,2989,3376,2735,2596,2967,3363,4142,4482,4225,3816,3170,2777,2413,2112,1984,1912,1742,1697,1575,1481,1329,1180,1127,1125,949,882,927,922,866,773,744,607,552,621,595,456,456,500,510,407,341,379,376,260,236,275,245]
[190,96,78,153,158,219,208,207,265,308,398,417,572,569,711,935,1081,1453,1789,2694,4559,5444,5295,4428,3260,2677,2262,2236,2634,3257,4699,5534,6022,4180,3405,2834,2532,2661,2870,3535,4517,4698,4635,3853,3155,2698,2438,2357,2551,2780,3643,3999,3576,2746,2656,2575,2664,2730,2973,3862,4629,4716,4400,3767,3244,2849,2760,2906,3044,5002,4832,5041,4597,3568,3069,2913,2572,2823,3178,3967,4775,4926,4309,3525,3136,2621,2742,3067,3413,4139,4754,4625,4248,3379,3121,2874,2835,2935,3312,4355,5172,5053,4285,3350,2964,2726,2781,3660,3831,4970,5745,5238,4508,3402,2998,2401,2333,1952,2024,1812,1682,1472,1465,1321,1207,1175,1088,1049,929,876,879,745,758,655,620,572,578,535,537,431,567,446,368,347,384,334,251,329,303,281]
[88,209,100,131,151,159,240,243,272,264,355,449,513,559,652,862,1098,1298,1688,2322,4193,5506,5913,4657,3541,2785,2312,2522,2632,3116,4532,5467,5257,4086,3435,3456,2552,2555,2905,3223,4381,4684,4421,3660,3161,2659,2468,2552,2690,2862,3352,3712,3660,3175,2572,2381,2511,2717,2859,3621,4378,4886,4303,3702,3085,2821,2707,2868,3032,3941,4621,4837,5131,3514,2953,2744,2822,2867,3212,3699,4651,4676,4528,3255,3103,2928,2624,2842,3257,3949,4817,4678,4257,3448,2923,2903,2787,2856,3131,4179,5041,4712,4244,3314,2965,2675,2706,3051,3520,5855,5379,5113,4351,3051,2926,2350,2238,2068,2008,1843,1565,1535,1537,1438,1200,1098,1038,1028,919,918,870,801,706,622,611,753,496,630,442,466,473,385,457,421,306,360,336,362,217,267]
[192,130,199,169,220,254,181,313,234,268,360,477,536,586,649,938,1111,1253,1390,2010,2782,4019,4130,3250,2831,2450,2124,2199,2400,2767,3504,4087,3902,3389,2993,2808,2303,2593,3321,2972,3339,3546,3263,3042,2750,2523,2431,2525,2413,2651,2736,3046,2798,2670,2432,2327,2513,2710,2792,3205,3409,3935,3480,3017,2883,2561,2679,2736,2939,3289,3694,3893,3662,3035,2810,3021,2758,2712,2909,3251,3753,3955,3453,2991,2794,2640,2569,2944,2957,3290,3632,3823,3482,2955,2696,2659,2627,2781,3060,3310,3938,3930,3469,2807,2673,2493,2779,2989,3188,3519,4254,3921,4003,2847,2438,2357,2149,1932,1947,1645,1451,1452,1348,1190,1126,1028,998,1021,984,872,709,757,708,641,605,501,447,451,479,472,407,411,353,333,370,309,319,297,196,299]
[76,90,213,201,240,259,199,252,332,299,431,375,499,659,771,888,1151,1307,1510,1880,2257,2902,2823,2574,2352,2095,2002,2100,2292,2576,2792,3209,2988,2659,2592,2363,2322,2454,2461,2686,3326,2860,2743,2579,2554,2435,2228,2300,2475,2501,2589,2514,2415,2536,2375,2296,2310,2515,2566,2809,3022,2953,2906,2728,2807,2596,2474,2609,2831,2895,2942,3256,3109,2824,2644,2529,2585,2547,3295,3007,3343,3148,3017,2923,2660,2635,2473,2640,2803,2837,3146,3120,2971,2903,2644,2713,2587,2714,2837,2977,3112,3013,2726,2813,2535,2514,2600,2794,2779,3262,3370,3235,2826,2706,2401,2614,2144,1916,1874,1747,1532,1471,1228,1350,1069,1080,1032,928,912,853,793,688,646,637,700,575,515,487,530,365,444,429,310,300,329,292,322,238,202,196]
[68,96,86,163,94,224,237,206,308,376,400,422,520,607,694,940,1003,1064,1325,1463,1813,2184,2255,2105,2031,1896,2029,2143,2232,2462,2512,2715,2776,2374,2321,2104,2295,2330,2414,2530,2648,2629,2473,2577,2727,2206,2170,2234,2280,2410,2448,2429,2477,2371,2372,2285,2311,2406,2505,2624,2780,2570,2576,2579,2534,2528,2518,2499,2574,2738,2679,2824,2778,2558,2388,2304,2418,2558,2720,2834,2729,3358,2867,2662,2544,2452,2426,2383,2643,2635,2757,2713,2718,2734,2523,2445,2433,2512,2711,2935,2805,2948,2775,2583,2398,2485,2613,2643,2685,2580,2972,2879,2644,2431,2348,2190,2124,2010,2222,1682,1601,1473,1330,1195,1145,1057,964,934,876,819,731,805,722,548,631,614,520,580,544,446,335,332,346,314,372,257,268,255,206,208]
[98,94,94,169,174,274,185,192,262,336,369,500,528,582,812,935,1074,1154,1262,1444,1698,1843,1904,1860,1743,1760,1988,2024,2159,2412,2450,2414,2338,2291,2046,2053,2150,2157,2270,2307,2451,2358,2471,2173,2178,2106,2344,2106,2279,2287,2343,2248,2148,2198,2200,2063,2109,2224,2401,2501,2589,2574,2406,2517,2386,2249,2392,2354,2556,2645,2622,2427,2428,2413,2306,2445,2281,2414,2508,2667,2569,2533,2582,2669,2937,2347,2390,2476,2547,2697,2502,2563,2474,2631,2427,2262,2330,2418,2475,2786,2644,2601,2610,2678,2480,2461,2325,2471,2724,2623,2697,2579,2462,2335,2175,2156,1947,1981,1751,1656,1533,1728,1376,1057,1186,955,886,801,792,742,769,672,652,715,550,500,523,379,463,462,416,277,414,269,271,336,263,168,198,159]
[84,98,108,129,188,168,260,230,239,306,357,460,596,637,729,966,1054,1173,1342,1578,1785,2060,1936,1895,1795,1814,1785,1914,2107,2140,2255,2472,2255,2150,1935,2013,1776,1998,2020,2293,2291,2161,2319,2099,2012,2002,2051,1979,2110,2756,2252,2223,2108,2166,2027,2101,2029,2248,2291,2302,2647,2353,2535,2488,2231,2230,2201,2300,2211,2438,2361,2503,2407,2281,2358,2214,2382,2303,2550,2659,2519,2640,2506,2442,2340,2341,2366,2954,2389,2429,2568,2447,2589,2261,2190,2244,2240,2247,2514,2428,2533,2522,2531,2540,2337,2249,2324,2240,2474,2605,2668,2462,2254,2122,2138,2125,1926,1836,1733,1576,1387,1328,1298,1108,1240,916,1004,775,818,773,684,701,634,612,524,552,413,468,422,468,437,341,365,310,280,283,262,181,196,278]
[76,174,100,218,151,248,201,242,290,338,325,488,487,618,716,1071,1139,1238,1421,1649,1928,2081,2075,1812,1630,1669,1833,1916,2139,2311,2345,2599,2333,2106,1919,1992,1984,2023,2110,2324,2369,2196,2180,2105,1970,1940,1864,1966,2084,2265,2288,2286,2630,2054,1957,1892,2057,1984,2146,2305,2397,2470,2180,2204,2164,2086,2086,2247,2131,2346,2533,2529,2302,2168,2276,2213,2153,2241,2444,2569,2677,2684,2584,2381,2242,2124,2078,2104,2462,2498,2953,2498,2150,2187,2156,2135,2249,2227,2296,2550,2767,2615,2468,2173,2264,2248,2198,2161,2391,2372,2729,2532,2365,2127,2086,2012,1888,1891,1598,1610,1391,1252,1275,1009,952,946,786,921,760,737,637,635,574,612,467,446,453,471,386,324,377,361,269,292,254,185,225,254,160,194]
[92,88,158,210,166,178,219,197,239,278,326,376,417,592,760,828,1073,1285,2018,2046,2523,2769,2478,2108,1942,1977,1801,1922,2165,2381,2703,2947,2256,2082,2041,2041,1961,1994,2298,2429,2646,2651,2359,2110,2017,1995,1905,1993,2084,2109,2463,2384,2524,2210,1955,2283,1821,2002,2041,2323,2494,2468,2363,2205,2082,1925,2060,2011,2240,2420,2535,2630,2385,2216,2212,2058,2086,2227,2553,2528,3092,3067,2788,2604,2344,2107,2160,2209,2296,2527,2603,2649,3140,2407,2116,1962,2119,2215,2326,2546,2829,2611,2543,2346,2312,2012,2130,2230,2514,2572,2772,2735,2528,2355,2136,2027,1731,1569,1591,1386,1211,1127,1081,1027,1013,828,796,788,777,666,724,582,559,530,482,432,352,360,340,382,317,291,299,270,221,289,169,232,215,151]
[82,94,92,94,215,139,258,205,315,315,310,419,479,548,771,855,1126,1512,2031,2695,3703,5315,3873,3300,2665,2150,2136,2159,2324,2999,3778,3888,3658,2800,2399,2373,2004,2067,2325,2817,3400,3629,3374,2932,2341,2141,2002,2020,2193,2602,3187,3412,2981,2633,2311,2109,1952,2012,2746,2817,3226,3182,2903,2563,2281,2019,2147,2037,2396,2884,3348,3519,3051,2474,2330,2227,2268,2478,2737,3320,3973,3828,3518,3150,2591,2231,2117,2230,2567,2820,3608,3344,3058,2607,2341,2123,2595,2230,2441,3169,3841,3303,3047,2408,2112,2173,2190,2421,2631,3412,3741,3442,2688,2248,2215,1976,1701,1559,1460,1325,1306,1114,1139,1088,939,823,829,794,753,629,583,580,480,647,382,390,460,382,307,391,272,322,284,238,305,198,205,260,161,124]
[62,110,96,88,151,156,240,159,252,257,406,268,403,537,693,907,1061,1400,1928,2989,4791,5977,5869,4688,3973,2716,2188,2373,2576,3677,4913,5222,4764,3951,2877,2288,2005,2208,2370,3220,4280,4427,4223,3328,2566,2128,1896,2089,2217,2862,3909,4072,3815,3035,2478,2345,2005,1983,2319,3068,4103,4866,3860,2862,2420,2261,2109,2134,2613,3339,4068,4228,3633,2810,2527,2226,2280,2514,2868,4061,4880,4819,4452,3236,2690,2269,2260,2405,2686,3730,4648,4642,4050,3019,2426,2216,2141,2303,2734,4631,4670,4358,3504,2662,2516,2253,2211,2531,2963,4083,4843,4354,3195,2482,2244,1983,1793,1460,1477,1463,1214,1104,1133,987,792,834,877,808,727,601,623,562,530,414,443,415,506,432,364,276,294,212,255,236,233,233,174,164,142,150]
[76,208,96,100,100,130,242,232,220,248,326,301,475,541,665,933,1107,1299,1845,2813,4758,6070,6178,4688,3348,2755,2230,2711,2485,3074,4548,5218,4845,3627,2958,2323,2022,2064,2373,3017,3780,4380,3960,3375,2427,2166,1852,2123,2245,2738,3507,3919,3762,2893,2368,2062,1918,2000,2153,2778,3648,3939,3618,2839,2750,2001,2032,2211,2376,3072,3661,3834,3451,2800,2241,2230,2270,2365,2696,3698,4561,4669,3898,3008,2355,2134,1985,2340,2552,3144,4050,4350,3447,2674,2234,2041,2112,2328,2871,3378,4413,4330,3974,2505,2264,2113,2337,2388,2990,3965,4543,3868,2931,2239,1870,1684,1695,1534,1306,1296,1071,991,973,908,866,827,805,729,573,657,519,595,494,515,442,430,363,422,350,413,288,365,233,244,243,225,183,216,193,98]
[78,94,176,133,134,92,167,226,296,305,287,348,474,445,592,792,949,1279,1563,2005,2935,3964,4263,3550,2797,2438,2054,2068,2219,2505,3594,3770,3604,2664,2474,2177,2055,2033,2168,2354,2561,3156,2937,2643,2256,2026,1844,1894,1955,2145,2588,2937,2811,2459,2230,1936,1775,1946,2015,2144,2804,2863,2718,2417,2042,2025,1991,2010,2569,2407,2738,2918,2755,2243,2122,1983,2033,2122,2572,2838,3372,3674,3232,2607,2301,2091,1969,2138,2141,2591,2772,3118,2645,2299,2104,2107,1954,2112,2389,2816,3257,3498,2780,2399,2245,2550,2062,2232,2481,2871,3012,2963,2438,2180,1876,1764,1635,1420,1312,1233,1142,1130,884,855,739,890,744,610,571,574,542,476,409,450,384,409,385,353,364,290,260,266,315,280,168,203,140,92,86,185]
[94,76,148,160,161,222,264,305,318,398,352,410,522,678,853,924,1076,1327,1779,2316,2704,2898,2524,2207,2118,1885,1925,2057,2214,2450,3334,3012,2166,2051,1965,1957,1838,1973,2057,2239,2327,2221,2141,1865,1698,1666,1763,1937,2126,2023,2030,1943,1989,1966,1730,1919,1949,1959,2020,2200,2208,2157,2013,2110,1846,1849,1938,2381,2284,2195,2323,2245,2037,1978,1842,1838,2171,2258,2469,2443,2725,2448,2080,2064,1893,1967,1908,2191,2364,2372,2314,2267,2041,1945,1914,1880,1974,2273,2387,2595,2459,2184,2176,2217,2059,2521,2049,2271,2381,2464,2393,2059,1899,1806,1688,1528,1441,1325,1158,1037,983,925,869,665,724,651,551,460,477,524,396,393,361,393,379,373,295,241,281,179,207,191,307,206,210,193,150,146,62,88]
[48,100,201,164,170,194,203,182,283,281,271,390,449,454,555,746,888,933,1194,1345,1672,1923,2080,2234,1718,1721,1963,1890,2050,2125,2278,2307,2209,2544,1873,1846,1895,1761,1710,1851,1998,1963,1981,1848,1798,1724,1556,1675,1730,1836,1901,1880,2111,1801,1623,1563,1686,1756,1858,1889,2024,2081,2038,2062,1838,1834,1807,1758,1787,1953,2048,2564,2057,1890,1743,1665,1787,1844,1868,2008,2108,2149,2058,1963,1920,1837,1708,1708,1820,1928,2150,2012,2068,2049,2053,1875,1781,1836,1905,2259,2318,2247,2213,2111,2036,2083,2069,1928,2401,2120,2411,2162,2118,1903,1768,1720,1533,1356,1539,1121,1105,1046,931,879,749,649,635,577,495,581,486,498,407,440,381,357,336,350,250,300,219,263,198,190,211,213,163,160,126,96]
[82,76,84,86,158,169,164,198,248,251,302,294,423,529,631,880,958,1026,1182,1280,1478,1625,1910,1624,1624,1696,1875,1925,2072,1944,2166,2247,2150,1865,1804,1684,1634,1826,1537,1710,1691,1631,1593,1657,1452,1454,1477,1482,1612,1704,1646,1737,1733,1725,1600,1502,1639,1468,1682,1832,1814,1869,1788,1765,1679,1661,1717,1541,1698,1813,1790,1791,1852,1872,1930,1537,1587,1691,1782,1876,1976,1850,1928,1830,1761,1756,1653,1653,1842,1850,1899,2006,1830,1909,1745,1695,1684,1796,1865,1952,2175,2123,2110,2158,1980,1909,1758,1795,1893,1946,2023,2403,1997,1736,1740,1555,1430,1360,1245,1095,1058,979,869,839,755,690,547,574,530,525,445,412,407,352,378,397,306,245,238,228,267,298,213,221,188,100,179,76,84,86]
[48,84,96,88,100,109,156,157,181,247,268,324,442,495,561,741,894,963,1204,1544,1728,1676,1823,1602,1633,1596,1831,1779,1976,2154,2210,2367,2149,1860,1660,1631,1735,1532,1569,2000,1590,1650,1504,1338,1311,1311,1485,1324,1479,1520,1539,1564,1611,1476,1537,1440,1444,1332,1507,1688,1773,1714,1699,1555,1527,1539,1600,1362,1520,1618,1663,1744,1704,1553,1505,1581,1458,1892,1644,1745,1661,1641,1655,1662,1563,1629,1526,1686,1709,1819,1913,1889,1924,1766,1600,1567,1692,1746,2096,2249,2157,2333,2212,2134,2025,1674,1916,1815,1956,1944,1844,2044,1902,1742,1945,1511,1334,1316,1197,1051,890,923,856,788,642,583,574,498,419,410,389,438,343,391,374,306,264,298,229,207,215,236,211,173,207,209,90,84,84,80]
[60,88,80,161,163,146,125,164,282,209,282,342,380,503,539,688,949,1251,1389,1676,1933,2043,2140,1826,1614,1568,1748,1824,2127,2364,2779,2645,2555,2204,1993,1613,1610,1470,1522,1653,1687,1654,1882,1267,1251,1331,1259,1252,1353,1595,1689,1617,1535,1398,1274,1316,1488,1338,1528,1633,1749,1692,1701,1496,1415,1296,1305,1431,1540,1514,1716,1885,1758,1564,1417,1436,1390,1386,1577,1621,2095,1834,1492,1367,1357,1486,1448,1639,1882,1893,2026,2150,2036,1753,1561,1581,1573,1792,2130,2464,2738,2748,2665,2376,2109,1828,1656,1769,1942,2058,2259,2079,1950,1876,1575,1495,1361,1503,1210,975,917,862,735,706,619,583,465,512,467,377,423,346,330,343,343,292,287,239,215,161,272,153,220,192,146,154,135,90,68,60]
[58,86,96,98,86,178,191,144,214,186,261,370,337,493,551,673,946,1290,1678,2055,2914,3139,2817,2146,1832,1809,1709,2017,2507,2983,3508,3775,3451,2779,2427,1824,1682,1452,1573,1666,2007,1828,1789,1472,1359,1508,1300,1330,1616,1743,2002,2044,1858,1638,1433,1394,1209,1364,1793,1980,2218,2279,2107,1727,1498,1376,1242,1354,1653,1960,1935,2006,1760,1596,1465,1331,1472,1384,1719,1670,1809,1931,1819,1993,1495,1362,1487,1722,1868,2209,2790,2659,2274,2074,1766,1608,1759,2201,2658,3414,3938,3757,3469,2715,2542,2085,1923,1987,2239,2749,2954,2845,2370,2201,1684,1549,1266,1095,1095,997,1002,748,745,735,551,459,518,476,459,387,263,302,347,302,261,204,285,238,226,236,220,191,194,88,104,114,94,160,70,78]
[78,70,82,98,138,203,122,171,160,189,264,309,352,467,517,755,897,1465,1936,2941,4178,4827,4289,3386,2546,2073,1990,2222,2826,3846,5092,5520,4548,3643,2728,2175,1815,1579,1791,2024,2683,2966,2663,1900,1522,1202,1277,1385,1931,2553,3235,3033,2713,2076,1663,1505,1396,1452,1831,2789,3630,3439,3064,2470,1721,1407,1363,1472,1749,2419,3097,3259,2624,2041,1659,1375,1379,1409,1586,2370,3052,3210,2440,1874,1578,1754,1529,1708,2144,3261,3715,4001,3005,2445,1946,1861,1852,2499,3459,4723,5428,4812,4114,3261,2736,1998,1826,2061,2720,3728,4068,3736,3028,2326,1931,1403,1085,1037,926,892,741,769,589,670,615,550,398,385,376,399,274,238,265,329,267,212,221,222,182,164,159,158,100,139,72,98,90,90,74,58]
[66,76,96,162,90,144,176,197,192,252,189,256,295,326,472,642,707,1283,2063,3526,5393,6288,5622,4255,3339,2353,1868,2223,2850,4500,5855,6409,5693,4232,3147,2403,1754,1620,1742,2290,3385,3718,3286,2367,1617,1284,1112,1200,1548,2276,3843,4582,3440,2376,1741,1274,1182,1392,1817,3218,4264,4243,3848,2643,1935,1431,1271,1403,1869,2598,4014,3730,3229,2053,1641,1266,1212,1409,1615,2470,3532,3478,2617,1981,1521,1316,1336,1769,2482,4616,5050,4965,3792,2667,1986,1596,2010,2491,3881,5822,6844,5937,4787,3607,2657,2037,1934,2239,3304,4887,5823,4795,4101,2480,1797,1299,1091,984,890,831,801,694,633,489,523,486,409,346,391,297,341,248,211,263,236,212,216,181,127,226,193,166,94,62,56,76,28,34,64,52]
[62,82,74,64,64,202,169,200,146,247,305,228,344,376,376,587,693,1147,1455,2719,4716,5441,5546,4005,3267,2358,1891,2057,2501,3508,5123,5906,5347,3992,3240,2188,1561,1486,1561,1817,2291,3002,2778,2015,1588,1086,1001,1138,1366,1825,2824,3153,3194,2179,1932,1191,927,1135,1471,2354,3255,3553,2910,2159,1496,1206,1020,1142,1393,1805,2816,2915,2532,1538,1378,1061,946,973,1544,1974,2853,2786,2151,1617,1284,1078,1110,1518,1967,2968,4137,5040,3135,2114,1728,1450,1685,2355,3241,4933,5842,5443,4538,3113,2277,1745,1741,2149,2791,4297,5502,4768,3608,2299,1503,1088,961,931,839,735,649,490,522,471,407,411,333,358,342,372,294,185,253,193,194,238,148,147,202,169,204,119,82,84,88,54,54,56,78,56]
[64,50,90,86,62,164,94,195,90,200,193,239,269,332,311,403,488,735,1000,1474,3242,3441,3502,2578,2385,1804,1524,1562,1815,2362,3334,3893,3865,2958,2256,1625,1416,1265,1194,1311,1493,1849,1592,1325,1177,957,942,812,1172,1241,1562,1830,1765,1413,1110,1011,860,1090,998,1495,1743,2063,1570,1299,1119,988,786,872,1149,1361,1551,1654,1440,1189,985,800,939,955,1011,1366,1570,1682,1345,1103,888,1015,907,1177,1508,1831,2412,2243,2117,1536,1598,1219,1311,1766,2270,2989,3867,3697,3092,2087,1675,1275,1331,1524,1935,2630,3194,3198,2282,1415,1059,869,779,721,710,652,590,590,470,439,294,425,261,297,328,311,256,220,261,148,175,190,171,181,203,86,100,76,88,60,60,64,56,70,34,38]
[50,58,94,74,96,80,86,113,132,153,189,151,243,252,335,371,494,666,812,1045,1512,1793,2510,1894,1613,1305,1246,1196,1504,1660,2135,2238,2282,2062,1566,1285,1078,929,1073,1088,1099,1191,1155,1060,975,871,742,824,852,954,1107,1286,1098,1006,919,872,752,849,757,1068,1453,1337,1139,928,902,737,638,675,794,1002,1054,1138,998,867,796,670,682,743,887,949,1122,1116,994,917,845,798,806,943,1090,1445,1575,1483,1436,1184,1108,930,967,1337,1462,2101,2363,2206,2078,1538,1143,1035,1049,1032,1476,1641,1789,1770,1332,1075,906,681,627,552,599,545,466,537,470,412,302,340,268,272,233,260,255,244,249,121,212,192,138,88,119,80,94,78,88,72,58,52,42,60,52,40]
[40,76,68,74,62,66,96,127,146,186,217,172,316,262,331,328,438,473,649,721,1007,1181,1369,1188,1151,985,1191,1023,1242,1379,1584,1684,1576,1483,1194,1062,824,870,785,824,893,905,947,781,743,756,635,712,689,703,836,919,805,821,684,719,621,769,637,700,828,961,866,933,680,568,572,611,617,706,916,837,783,733,624,530,629,655,706,705,914,804,837,832,832,686,699,798,844,1040,1181,1286,1189,1020,804,890,957,931,1130,1346,1911,1605,1457,1066,996,854,831,878,1008,1241,1199,1268,1210,830,675,700,597,578,518,422,472,441,320,404,315,275,286,174,195,219,249,202,210,145,211,146,88,96,96,74,68,58,92,68,64,58,58,28,46,30]
[50,62,58,66,90,130,122,94,145,171,199,218,262,218,278,316,424,387,459,544,694,775,900,896,882,947,873,951,1092,1134,1137,1265,1221,1098,965,857,758,852,831,713,700,734,795,744,664,632,543,588,594,685,682,735,684,613,667,601,639,575,639,585,690,695,749,639,487,547,591,516,564,585,650,593,617,543,583,479,553,581,643,634,786,708,667,645,609,621,664,691,742,841,868,1011,958,926,856,858,897,839,1030,1073,1051,1070,1024,1278,804,858,905,877,839,874,865,937,756,655,657,611,470,507,401,438,381,292,306,268,208,309,265,167,186,150,199,213,221,164,74,100,98,96,74,70,96,62,64,52,42,20,38,48,18,34]
[64,56,62,70,56,66,82,96,190,155,123,145,221,177,233,283,340,336,414,463,505,655,579,600,624,678,670,778,894,952,889,1121,848,872,821,748,626,657,700,785,712,678,516,747,568,508,508,599,589,592,604,587,549,587,538,522,558,517,530,571,515,508,539,545,455,493,488,533,593,544,553,551,488,462,489,548,574,564,522,559,557,579,665,601,628,641,577,684,629,716,831,841,827,743,706,732,752,852,880,869,930,905,903,932,772,817,936,671,712,730,665,763,693,542,551,445,428,401,455,307,407,285,297,270,265,200,181,200,155,197,143,181,92,152,161,94,94,72,78,86,66,76,66,48,66,40,34,34,24,48]
[36,48,36,54,62,64,196,90,157,100,128,157,186,185,267,193,262,287,359,382,464,395,507,525,533,594,590,636,726,705,724,727,667,623,841,655,634,650,619,557,577,502,541,485,511,546,555,501,558,626,534,496,508,462,426,471,516,445,470,486,503,497,552,397,474,438,361,409,397,453,484,556,408,402,443,446,354,337,437,509,530,482,562,526,456,513,578,563,511,660,632,676,654,617,620,624,683,593,641,666,725,642,646,555,673,602,554,526,510,662,654,548,495,521,499,435,364,374,305,342,245,257,249,181,207,219,163,171,130,86,122,82,84,98,196,90,80,66,56,40,66,76,40,32,68,38,46,46,18,28]
[48,52,56,46,64,56,60,80,86,167,100,190,158,207,289,207,187,285,306,335,361,360,367,464,440,480,504,533,575,642,624,645,624,553,474,562,594,595,512,521,461,470,528,520,439,447,498,427,419,427,382,524,473,326,418,379,429,414,452,424,340,478,374,383,400,334,347,381,356,410,344,348,404,415,432,425,339,404,434,440,410,445,422,447,455,459,454,437,567,525,588,613,513,571,524,481,511,593,608,579,546,671,548,551,578,592,581,565,516,489,430,450,472,385,435,419,354,398,317,317,320,241,199,221,219,225,185,157,137,204,155,98,98,80,76,62,72,62,40,78,50,52,52,50,38,26,40,46,34,44]
[56,54,52,54,76,58,70,56,96,90,84,201,187,214,200,234,205,260,323,360,288,309,308,427,365,457,524,491,387,458,547,485,498,541,417,422,518,432,514,447,458,337,428,407,381,384,398,353,370,355,301,324,355,353,302,379,306,342,334,352,388,324,422,345,319,298,316,324,320,367,320,288,329,320,361,426,364,256,362,395,353,454,373,401,319,363,389,379,509,505,410,452,391,453,461,457,470,450,426,536,514,484,538,432,525,494,483,407,449,485,473,372,331,481,310,282,344,311,251,272,201,213,218,241,156,202,128,123,90,166,76,70,68,64,56,82,40,34,50,46,64,46,54,34,32,46,52,36,34,16]
[58,54,48,52,58,50,70,76,90,88,88,92,200,173,125,198,183,205,237,269,259,272,347,303,281,305,348,359,415,422,386,446,389,353,338,421,358,392,402,490,373,403,411,328,352,387,365,357,307,330,340,262,326,309,349,265,356,273,339,400,329,272,254,345,386,282,324,249,289,258,317,297,312,281,287,264,272,331,335,330,269,316,289,274,303,301,342,316,379,450,428,382,351,383,376,359,401,404,354,455,482,382,444,435,324,386,404,436,401,442,402,373,351,301,259,349,319,294,235,259,172,196,146,184,194,224,219,133,152,185,78,96,76,64,66,68,80,82,46,70,52,44,50,24,56,20,26,32,26,40]
[34,42,48,58,62,52,68,68,40,86,94,94,127,210,128,216,236,207,213,217,234,264,305,297,309,307,251,330,365,305,309,404,301,298,261,300,283,370,299,319,283,340,307,338,349,281,346,363,278,255,297,283,244,258,266,269,248,265,256,220,257,284,331,304,192,258,255,243,236,242,196,244,281,252,256,295,236,281,272,279,309,381,286,226,318,205,308,288,363,300,292,266,343,327,361,328,284,289,340,301,314,398,335,343,368,301,354,351,307,331,350,322,272,272,241,342,262,224,303,178,188,170,188,216,175,223,210,82,155,80,159,66,68,56,72,50,68,62,38,58,44,40,38,38,46,64,44,32,24,30]
[66,38,22,52,44,38,62,64,84,68,78,94,153,76,86,96,215,153,280,239,282,238,223,293,322,227,250,252,325,273,327,323,228,345,322,339,312,337,240,328,291,275,249,306,274,295,344,237,240,293,297,275,202,234,256,253,295,244,306,247,187,310,183,260,243,231,253,235,274,240,211,177,219,302,232,234,225,222,220,277,289,315,295,298,303,299,310,274,313,290,275,318,318,285,277,379,274,364,305,328,293,300,333,349,330,260,318,316,301,310,320,220,315,250,259,171,226,209,274,140,235,94,195,128,195,186,100,90,78,92,88,74,64,78,56,56,62,52,42,48,66,34,34,44,26,34,30,26,28,30]
[56,58,50,68,56,56,40,66,44,84,74,88,84,92,98,86,96,88,222,189,150,158,200,232,229,255,196,230,229,219,262,317,216,222,260,227,270,279,262,249,204,284,238,230,270,258,269,260,187,220,338,234,205,249,214,233,275,187,211,207,191,243,221,251,229,231,195,244,235,203,244,150,235,261,215,268,249,196,223,214,268,177,256,198,203,207,260,254,273,240,321,344,315,276,306,284,293,258,320,311,256,307,272,287,213,259,290,230,239,319,203,279,266,260,274,188,230,243,188,133,155,92,128,145,94,126,94,78,68,94,88,76,60,62,60,48,54,50,50,50,46,42,34,32,44,48,48,48,18,22]
[38,32,42,36,50,52,46,76,48,50,64,66,84,88,100,137,124,94,211,155,157,222,161,204,243,171,200,266,227,165,206,187,256,268,231,293,168,291,169,263,223,246,253,243,201,271,219,277,238,191,194,167,311,253,221,192,234,204,222,205,214,184,176,205,252,218,223,227,140,236,262,176,212,177,159,170,230,156,234,238,231,244,234,214,241,247,251,288,255,246,237,241,218,183,209,253,238,252,195,218,228,327,247,311,279,227,229,250,271,212,215,179,211,199,253,114,218,236,154,234,189,121,96,100,82,142,80,98,46,80,84,88,60,72,54,56,54,48,38,42,40,28,32,38,34,36,34,32,30,34]
[44,42,50,46,40,38,42,48,40,56,52,40,68,74,86,88,68,98,135,198,206,234,179,175,203,151,251,235,230,188,219,238,207,182,171,244,207,242,186,273,229,197,155,190,212,278,219,205,165,186,237,208,188,162,219,277,163,156,229,206,149,231,189,190,225,210,189,143,169,176,213,165,154,179,141,153,184,199,204,244,164,230,237,259,219,244,288,158,204,198,221,276,272,245,183,284,251,229,260,249,268,267,262,288,279,251,245,152,274,189,245,199,196,152,202,200,190,144,223,82,130,184,96,74,58,92,84,76,88,84,62,48,46,60,38,58,44,50,44,44,44,36,30,26,38,46,44,24,30,26]
[38,36,44,46,62,24,42,52,76,74,58,60,60,66,88,60,58,127,96,100,234,197,110,140,151,100,166,199,211,202,206,188,182,161,248,172,226,133,178,169,190,169,174,235,208,249,241,165,173,154,159,217,255,144,231,182,160,159,171,198,203,237,198,199,188,156,163,142,170,98,180,199,168,211,149,146,153,133,163,135,237,217,209,253,154,142,156,259,177,194,223,190,223,190,196,239,234,171,271,223,242,194,255,243,234,137,211,221,244,234,180,223,98,206,183,154,98,152,200,94,88,96,68,88,86,66,58,58,78,70,46,58,48,48,48,56,38,34,38,36,28,46,34,40,22,32,30,28,18,38]
[34,40,44,30,52,64,58,48,60,64,52,44,68,62,60,66,66,78,86,170,62,98,232,100,199,179,175,185,142,178,165,98,198,216,162,141,207,168,140,150,185,161,153,212,180,139,186,183,145,238,180,182,128,168,136,139,134,221,127,90,96,184,94,235,166,209,171,132,267,198,204,136,198,206,177,94,94,211,186,159,222,175,223,206,172,202,203,169,195,236,178,182,156,229,250,158,144,225,205,191,195,233,198,185,162,190,165,227,157,139,234,96,168,155,86,70,189,90,88,64,196,72,72,64,74,50,60,68,70,68,58,46,90,56,64,52,66,44,40,38,36,24,30,36,16,20,34,48,28,16]
[32,28,34,60,50,38,54,38,44,46,38,78,54,72,76,62,56,96,54,92,90,78,76,82,82,141,198,98,96,96,92,155,100,175,167,157,132,150,169,120,160,129,167,86,216,165,143,109,207,132,123,167,144,152,189,84,209,218,180,176,191,175,158,185,156,201,96,94,114,96,142,96,210,184,122,84,185,170,148,94,216,92,168,207,217,158,208,142,188,214,118,112,218,183,181,224,198,154,181,100,160,208,84,159,125,187,197,211,123,185,165,168,196,146,147,80,96,80,88,66,66,80,150,62,52,58,60,64,60,56,56,46,54,58,62,46,36,54,36,26,46,28,18,36,36,30,36,24,34,38]
[20,34,28,46,18,42,36,34,40,46,36,56,70,68,52,54,50,56,58,74,94,86,88,92,100,58,148,196,193,196,62,96,98,116,100,100,200,94,195,88,98,84,204,146,150,96,186,139,200,223,118,183,164,174,141,197,197,146,94,122,92,98,100,142,185,158,96,209,100,100,185,186,80,96,189,120,128,86,145,219,88,214,96,92,98,138,88,151,148,204,147,84,92,136,100,203,196,82,211,94,90,100,189,182,146,146,98,98,88,127,157,94,194,217,70,94,90,205,130,74,72,78,48,48,64,50,58,34,50,40,36,50,48,68,46,46,38,40,30,24,38,38,28,22,24,32,16,28,32,26]
[18,46,26,60,50,30,40,36,42,30,52,44,48,70,46,54,78,48,60,64,84,98,78,96,84,92,56,74,74,90,90,84,215,120,84,96,153,161,92,98,90,108,137,84,78,142,98,100,131,100,115,96,98,96,78,96,70,195,86,144,98,144,157,100,123,90,171,90,94,64,92,100,192,100,82,172,84,88,100,178,204,76,136,94,94,88,137,181,123,154,94,151,166,145,74,88,143,86,100,200,157,138,92,90,100,90,90,106,192,74,142,92,74,88,80,86,68,80,70,62,60,50,54,68,66,64,52,44,52,76,52,60,40,48,28,48,28,48,62,30,30,36,42,32,26,44,20,26,28,26]
[44,48,28,20,40,34,32,40,36,50,62,64,48,56,68,64,50,66,46,58,86,82,66,66,90,72,64,92,74,94,78,78,98,64,82,98,152,52,74,90,90,98,204,100,181,80,70,100,92,92,92,94,94,84,100,80,70,72,70,78,84,88,76,98,174,68,78,60,84,96,94,78,78,98,88,82,100,80,84,82,76,94,52,84,90,86,88,74,92,100,210,92,82,64,68,94,74,70,96,96,80,152,74,88,84,88,74,100,98,84,94,60,64,98,64,54,82,46,70,78,46,60,56,40,66,60,46,36,46,46,46,36,42,52,14,38,36,24,26,36,30,16,38,30,28,14,30,22,24,30]
[34,28,28,38,32,32,38,44,44,54,34,50,38,68,42,66,36,56,44,48,66,58,60,56,60,70,74,64,88,76,64,94,76,84,70,80,96,92,72,131,80,179,80,74,84,100,68,154,82,96,98,72,200,88,76,46,100,92,98,70,76,66,94,155,84,98,84,74,86,78,88,84,80,68,72,88,96,76,74,56,86,84,88,72,84,66,194,86,112,74,187,111,90,177,133,90,98,72,142,106,74,80,143,86,84,72,66,62,88,68,78,94,54,98,82,50,50,54,58,66,40,54,58,48,46,52,78,44,34,30,38,36,44,44,22,26,42,42,30,42,30,28,22,42,26,18,36,36,32,24]
[28,20,44,28,26,44,44,52,36,38,52,40,42,48,32,56,50,40,50,58,62,42,62,48,60,50,40,58,60,78,60,72,76,58,82,72,82,58,80,88,84,48,94,98,112,74,92,88,100,38,80,74,74,92,64,76,68,88,54,90,72,86,92,90,78,78,78,70,84,66,86,82,78,66,84,84,92,74,74,90,72,72,94,94,88,82,56,94,68,94,82,86,68,92,62,58,86,74,66,70,68,76,52,68,58,66,68,68,48,46,46,68,70,42,60,50,58,64,52,54,50,54,52,66,38,42,66,46,60,30,52,36,44,26,62,24,38,36,28,20,24,30,28,36,26,28,24,42,24,36]
[34,14,30,24,40,34,42,20,34,52,28,36,32,54,50,52,52,30,44,32,48,60,50,50,46,62,64,70,56,62,62,50,72,54,58,54,86,58,56,76,62,58,78,80,64,88,80,60,76,80,80,66,84,74,66,72,74,66,78,72,74,48,80,58,56,62,60,54,56,72,72,44,64,80,62,74,74,80,84,54,82,88,82,72,66,68,80,62,76,88,74,70,88,72,52,78,72,60,54,62,54,52,56,54,56,54,56,62,82,62,68,62,54,58,52,56,44,62,54,44,44,38,44,46,62,30,44,22,38,28,36,38,40,30,54,16,38,24,30,20,48,38,20,28,18,34,30,20,32,16]
[20,34,18,36,44,44,36,20,34,42,30,44,18,34,48,34,44,56,58,52,56,58,58,50,58,72,48,62,58,44,58,36,68,62,68,48,74,66,52,62,34,86,66,66,74,44,56,68,54,203,76,74,92,74,64,54,86,76,66,48,58,64,68,70,60,50,54,76,60,68,48,64,52,60,68,58,78,66,50,72,70,74,52,76,54,70,66,88,72,56,64,68,74,84,86,80,74,66,70,56,78,56,62,80,56,62,56,88,62,48,44,50,52,48,56,60,48,36,66,52,30,50,40,56,40,34,46,32,40,46,38,28,22,30,22,34,22,40,22,46,10,26,46,38,40,42,30,18,28,16]
[26,38,48,26,36,38,38,32,28,24,30,28,38,38,44,18,50,32,46,30,46,46,40,58,48,28,44,52,52,50,68,80,64,62,54,70,60,66,80,58,70,72,68,64,76,62,92,56,52,54,76,56,82,74,84,56,68,52,76,66,70,68,48,54,76,66,66,74,76,58,60,84,58,56,58,72,50,76,66,50,76,72,48,58,76,50,58,66,70,88,66,76,90,84,62,40,70,92,56,58,98,74,52,64,76,64,58,42,52,56,50,64,56,44,48,58,48,46,60,40,50,22,50,32,40,48,46,30,54,26,38,36,36,30,46,30,28,34,46,16,36,32,34,36,10,24,30,36,38,20]
[32,34,44,32,46,42,24,30,32,22,34,30,30,50,28,20,26,38,48,32,56,48,40,46,38,50,64,44,68,68,50,68,62,52,66,48,82,56,62,56,56,56,60,72,52,74,68,54,52,56,56,68,78,68,54,52,40,78,60,52,70,54,62,40,62,40,60,38,60,38,66,34,70,48,44,86,82,50,48,42,82,78,66,54,84,78,44,76,58,68,76,52,66,46,64,40,50,30,50,58,60,42,52,68,54,62,32,46,58,28,60,64,52,66,46,44,30,42,62,46,52,36,46,52,48,38,32,42,30,38,36,42,40,28,38,36,38,30,32,14,24,30,24,26,12,34,32,24,20,16]
[30,30,36,22,30,26,32,16,48,26,18,36,24,36,24,38,32,36,26,34,38,28,28,44,72,40,54,58,50,32,50,48,40,40,64,58,58,50,28,62,66,82,52,70,50,62,70,52,72,74,42,62,62,54,34,52,54,56,52,62,44,66,42,54,52,40,48,52,52,56,42,82,54,54,72,42,58,54,52,40,62,40,72,58,66,68,70,36,76,76,44,38,76,44,48,70,72,66,48,58,56,56,62,48,40,56,62,38,62,44,60,56,44,46,38,48,56,50,32,42,46,16,38,26,24,24,22,50,36,10,28,30,34,28,38,24,44,50,28,12,26,34,18,16,18,16,26,28,16,16]
[34,28,18,20,48,20,28,16,30,28,58,22,44,64,36,38,44,26,46,38,42,34,18,32,44,52,30,50,54,54,52,50,62,48,32,46,60,46,56,40,46,36,50,38,48,56,54,52,62,52,36,52,34,64,52,56,56,60,50,46,62,52,66,40,48,38,60,78,56,54,38,62,50,48,62,58,48,60,56,48,56,58,44,58,44,58,48,44,62,60,58,50,68,58,56,68,36,46,66,56,44,56,56,34,56,28,44,52,32,50,38,50,34,36,18,50,42,44,54,44,36,46,40,54,28,34,40,66,24,34,26,44,20,18,38,34,24,26,48,30,30,14,34,22,20,22,28,38,36,32]
[20,28,38,32,36,24,34,42,36,34,44,34,26,34,42,38,32,24,40,40,40,30,46,26,40,34,50,50,34,46,44,60,66,50,48,54,46,50,54,52,38,44,54,60,48,62,50,58,50,66,60,44,42,38,44,46,34,60,56,38,52,40,66,40,44,42,54,46,56,64,42,48,56,40,58,48,56,36,40,74,42,76,56,60,56,58,78,72,48,44,40,82,62,54,60,48,38,56,48,32,42,50,48,40,62,40,68,48,42,58,24,40,38,42,36,24,44,42,26,50,40,48,30,38,38,26,26,32,34,28,50,42,36,38,40,36,44,12,22,20,46,22,24,20,30,22,34,18,28,16]
[30,30,40,32,18,28,26,40,28,30,48,28,18,32,38,48,32,28,22,46,40,30,38,28,72,44,26,58,48,44,42,48,24,46,40,26,40,48,50,28,38,42,44,64,56,60,40,58,38,52,16,44,46,66,38,38,64,54,74,48,62,36,36,64,46,54,58,46,42,56,50,48,26,64,36,46,52,36,64,48,42,60,40,66,30,48,54,50,38,44,38,46,62,34,24,44,44,44,30,24,50,56,54,30,48,40,40,42,40,34,38,30,38,20,54,34,34,38,34,44,40,30,38,34,28,26,34,36,44,32,26,40,34,16,30,34,22,18,34,16,12,8,32,22,28,28,40,30,30,10]
[14,30,14,22,32,22,36,10,40,22,22,20,38,28,24,16,46,36,52,46,28,14,12,40,26,42,38,36,28,50,36,54,36,44,44,38,64,36,56,20,64,50,64,40,36,32,44,64,34,26,76,36,36,42,50,32,50,44,76,66,38,68,34,36,50,46,70,54,62,30,64,54,50,40,62,54,46,46,70,54,64,38,52,42,48,44,42,52,48,56,38,42,38,46,26,52,54,44,58,40,38,34,40,42,40,36,50,36,44,48,62,22,44,36,32,38,54,32,40,32,32,34,40,24,18,44,28,46,36,36,24,18,26,46,30,22,50,30,40,32,46,34,22,16,12,44,26,42,32,16]
[34,18,22,46,42,40,16,44,24,40,32,42,22,48,20,42,48,24,20,40,36,28,44,16,42,30,24,26,30,40,40,48,30,36,40,42,22,42,58,32,54,28,22,32,44,46,54,42,20,44,54,54,58,40,36,30,54,64,28,62,42,38,36,54,42,50,40,38,52,44,48,42,40,58,64,46,50,48,42,34,30,56,38,42,36,32,46,54,40,42,46,52,22,40,48,30,40,18,44,46,46,66,50,34,22,38,44,38,46,52,26,42,20,38,28,38,40,22,32,32,42,34,30,36,36,44,36,38,28,32,28,42,20,26,34,34,28,34,26,16,16,12,16,28,16,30,28,12,22,18]

{"sheet":"Figure_1D_layer_20","index":20,"n_rows":150,"n_cols":150,"rows_kept":150}
[20,14,24,40,46,34,14,42,40,46,60,52,60,70,84,98,137,185,229,168,211,161,170,248,242,284,226,315,232,270,309,345,408,399,417,474,438,456,415,470,535,588,514,500,502,473,585,490,548,642,543,599,701,631,685,622,675,627,585,696,589,656,596,729,610,736,656,654,649,753,616,790,690,682,762,732,741,747,813,716,771,758,769,745,730,685,681,801,797,716,697,713,694,832,845,621,728,642,686,645,806,735,719,649,714,746,671,651,713,748,603,677,707,707,603,597,666,545,542,580,529,552,532,527,455,482,510,486,523,372,468,476,438,450,368,411,405,376,329,399,368,351,298,295,272,257,270,220,219,245]
[22,14,32,10,38,28,40,60,54,54,60,56,90,58,90,74,121,156,197,130,181,177,260,233,281,222,288,327,391,299,332,364,402,446,443,456,452,491,501,566,548,523,546,562,487,578,552,658,567,554,596,678,755,699,662,635,638,720,713,723,687,828,707,709,724,807,784,764,794,778,792,741,685,785,916,773,760,777,874,825,715,850,933,750,858,654,780,879,823,780,817,753,759,792,761,742,755,797,719,762,728,806,742,765,815,809,734,767,666,677,623,847,655,659,556,683,654,529,586,604,556,511,603,549,541,521,594,504,454,376,434,360,418,416,356,428,414,290,316,307,307,273,209,343,295,257,278,263,218,263]
[30,24,42,36,42,46,40,32,54,60,56,72,62,88,80,72,148,106,193,241,253,223,262,283,295,311,296,324,357,387,417,437,466,506,520,483,427,547,555,548,681,587,649,610,535,626,558,613,714,645,696,643,615,709,753,675,740,735,807,740,751,733,785,752,741,817,728,828,752,765,828,907,804,804,764,861,758,926,833,795,732,824,805,884,791,870,836,773,854,781,805,692,818,803,800,675,776,773,763,786,759,869,716,776,701,746,754,745,712,708,764,750,659,690,781,700,722,724,596,559,667,662,610,617,515,584,536,538,526,525,468,397,436,539,353,424,417,379,419,304,444,331,391,317,311,325,293,358,311,245]
[14,24,32,44,42,40,34,36,54,42,46,58,72,96,94,88,163,183,187,257,239,277,252,270,324,320,295,372,426,370,399,408,418,555,497,518,561,528,550,675,610,600,655,793,669,625,643,733,671,653,727,670,735,782,837,815,778,795,779,799,869,810,864,835,853,867,871,852,879,879,920,787,911,872,876,837,805,831,863,798,1010,834,914,831,978,918,899,901,846,910,856,827,870,843,796,824,853,873,866,811,807,842,821,891,758,871,780,852,785,804,833,721,731,802,752,799,650,801,708,672,682,582,655,588,575,535,517,517,507,517,538,497,458,406,436,443,422,468,440,392,318,314,376,351,309,374,275,269,295,271]
[22,32,34,36,38,44,48,60,56,50,78,84,68,70,88,94,143,152,209,234,214,244,277,326,352,342,408,445,362,436,411,518,469,540,568,553,521,608,588,628,701,591,698,715,659,781,766,712,774,752,698,747,759,831,756,805,841,916,827,844,767,855,758,809,779,936,836,847,870,869,934,965,830,850,901,940,996,966,863,932,919,945,890,1062,789,905,870,921,981,999,877,938,928,980,832,830,882,830,844,854,885,858,960,830,907,816,862,815,793,897,796,775,716,753,773,714,780,740,680,644,808,637,631,623,600,635,601,554,525,555,550,516,482,489,478,455,480,397,346,438,380,430,368,367,348,237,337,316,289,273]
[10,24,32,30,28,30,28,32,56,64,44,70,92,157,204,163,170,181,205,241,206,341,249,288,378,365,376,479,451,491,488,505,581,588,544,565,565,617,620,730,700,666,730,724,705,768,707,773,899,760,858,820,728,888,890,822,775,819,872,911,819,893,890,882,934,910,864,937,970,958,1008,949,863,906,969,954,988,982,940,984,1005,969,948,974,969,1141,917,916,1002,1040,933,942,859,966,908,872,911,964,894,839,828,969,919,885,1036,845,818,862,920,829,873,919,823,805,826,744,718,731,753,744,635,671,654,808,660,611,566,592,529,549,592,548,421,510,398,432,432,396,421,409,357,387,433,368,308,345,283,290,328,255]
[16,48,44,20,38,50,34,42,56,64,74,92,94,216,207,137,261,263,305,281,351,263,386,386,367,324,423,410,452,549,507,588,498,594,627,615,644,707,717,659,773,723,730,818,798,866,766,846,930,891,875,1149,879,965,882,906,840,904,928,933,1007,1004,878,976,926,983,959,926,976,975,938,939,934,968,1027,990,1012,983,967,999,969,1075,1083,1074,969,1045,1073,1091,1238,1016,1073,926,950,1083,1082,929,1049,1023,1036,1008,957,932,947,914,1001,953,862,842,893,924,911,922,855,909,918,862,804,779,732,676,778,695,692,648,720,649,774,580,537,598,532,498,589,508,416,455,433,423,452,403,337,418,361,325,284,374,266,293,309,205]
[34,16,42,64,38,48,54,40,52,70,70,92,183,82,234,225,190,262,291,299,347,334,369,381,427,406,414,487,453,584,535,585,584,638,622,676,705,744,748,837,874,815,841,831,858,825,861,843,814,977,893,930,926,910,1128,927,956,991,937,1019,1006,1053,1039,959,1037,949,1033,1083,1076,1116,1003,1156,1106,1029,1018,1011,986,1072,1109,1093,1174,1150,1124,1015,1135,908,1016,1046,1044,1085,1009,1255,1029,1039,928,985,1060,1002,1107,1091,957,1075,1082,931,906,909,989,858,962,917,1053,899,900,939,898,839,838,773,752,733,705,751,765,739,678,657,655,624,646,774,520,587,479,567,434,507,549,456,486,380,430,403,336,424,354,351,310,337,336,327]
[34,32,34,38,46,26,48,62,52,74,76,84,100,153,229,259,251,245,241,317,340,382,465,459,392,544,446,517,489,580,580,648,661,649,770,695,698,776,864,922,769,888,828,843,910,861,937,957,967,983,953,970,996,990,1007,1033,966,1184,1050,1201,987,1074,999,1118,988,1163,1137,1138,1126,1199,1113,1213,1172,1154,1159,1123,1114,1084,1149,1227,1053,1218,1207,1147,1172,1113,1112,1137,1156,1023,1096,1081,1075,1172,1153,1036,1011,1136,1133,1085,1147,1136,1069,836,1011,902,936,1000,923,970,1030,865,1035,781,816,893,773,927,953,754,769,811,677,796,769,679,643,720,717,669,608,669,567,487,457,473,487,442,471,406,456,382,397,386,399,288,346,257,272,276]
[28,28,36,36,28,62,48,60,72,52,92,148,184,204,214,234,227,271,317,275,366,428,405,387,474,499,524,588,532,710,651,609,647,827,806,796,745,815,840,755,846,865,844,956,960,908,942,957,996,1038,1016,1078,1083,1047,1092,1045,1133,1148,1315,1213,1156,1092,1156,1170,1111,1182,1213,1148,1209,1227,1157,1142,1137,1284,1137,1092,1174,1126,1162,1204,1274,1209,1151,1117,1193,1250,1214,1145,1151,1177,1117,996,1189,1173,1054,1404,1140,1229,1154,1099,980,1078,1046,1090,1177,1011,1089,1012,1093,1089,1096,1070,952,1032,1000,876,982,864,873,859,887,871,736,781,768,684,711,729,615,665,558,694,563,689,512,458,518,472,436,386,360,436,375,335,361,346,302,317,306,288]
[40,34,44,50,34,68,42,50,68,76,78,189,242,198,239,243,253,304,338,365,389,438,421,547,530,494,585,612,586,718,683,815,766,772,744,853,858,829,871,977,992,953,1018,969,1020,1026,1098,1026,1117,1207,1097,1037,1046,1153,1116,1146,1141,1160,1181,1157,1103,1468,1133,1286,1243,1276,1231,1308,1248,1224,1203,1187,1234,1388,1169,1262,1367,1269,1328,1219,1195,1214,1224,1218,1325,1244,1269,1323,1176,1255,1291,1251,1320,1132,1218,1215,1228,1132,1354,1214,1179,1094,1126,1003,1192,1125,1113,1099,1106,1117,1093,922,1010,1048,984,998,1042,970,950,1021,849,853,787,775,759,688,781,642,633,609,592,611,561,533,632,588,562,468,496,464,400,405,399,343,321,413,324,325,343,298]
[30,40,52,36,44,60,70,80,78,96,74,94,201,159,161,284,281,296,380,433,375,390,467,458,551,525,773,593,734,695,690,821,770,858,862,906,879,873,859,973,957,1038,1023,1180,1077,1071,1022,1098,1189,1139,1092,1166,1157,1252,1179,1184,1178,1202,1229,1231,1174,1319,1227,1174,1455,1321,1195,1315,1288,1339,1291,1267,1381,1273,1341,1277,1254,1384,1312,1427,1225,1248,1310,1239,1165,1288,1324,1326,1222,1290,1168,1222,1253,1362,1177,1378,1209,1275,1188,1254,1197,1422,1140,1139,1278,1167,1084,1032,1220,1158,1044,1112,969,994,1142,1015,991,997,938,906,907,837,905,835,797,793,757,698,668,681,612,542,617,607,550,612,478,512,574,494,484,368,391,396,352,354,274,327,347,295]
[34,50,34,34,62,52,80,64,96,96,96,190,224,226,189,251,339,297,376,343,449,461,526,550,551,585,550,609,819,906,795,945,874,995,918,967,888,936,1027,953,1095,1194,1115,1153,1271,1153,1299,1151,1209,1190,1294,1182,1274,1205,1334,1277,1226,1341,1300,1338,1290,1320,1284,1300,1315,1430,1653,1404,1488,1406,1364,1336,1364,1329,1405,1385,1400,1348,1359,1367,1297,1318,1360,1310,1326,1334,1264,1374,1299,1352,1277,1281,1253,1270,1294,1249,1388,1316,1283,1193,1193,1227,1263,1240,1500,1143,1159,1161,1162,1159,1159,1049,1074,1102,1049,1172,1021,1074,963,876,884,952,869,890,938,714,826,791,683,701,706,706,590,563,547,527,576,470,534,498,422,456,387,439,403,346,347,346,419,349]
[34,46,36,44,54,48,70,80,144,92,200,192,241,262,205,313,331,360,373,462,502,458,501,610,576,698,663,724,799,823,819,862,1107,999,957,951,1058,1064,1105,1097,1130,1087,1055,1236,1248,1272,1232,1239,1274,1366,1220,1289,1215,1332,1408,1304,1387,1346,1428,1524,1411,1406,1503,1376,1347,1515,1454,1459,1481,1752,1352,1324,1452,1437,1513,1440,1493,1471,1542,1473,1348,1471,1392,1387,1441,1443,1346,1455,1356,1445,1329,1431,1337,1374,1457,1353,1481,1417,1374,1247,1317,1276,1426,1205,1273,1230,1216,1581,1245,1238,1214,1170,1216,1120,1059,1193,1103,1007,969,1031,897,892,897,879,844,719,795,723,729,673,648,619,620,639,557,677,568,514,534,469,439,475,349,410,478,400,291,382,370,314]
[42,36,58,74,54,56,58,90,86,175,221,247,217,197,258,294,334,368,439,405,533,540,593,615,701,724,730,807,926,891,1078,959,1026,1013,1145,1190,1094,1118,1249,1202,1156,1283,1321,1179,1204,1233,1211,1358,1275,1346,1460,1362,1389,1463,1472,1378,1400,1507,1445,1414,1411,1399,1434,1473,1477,1550,1540,1593,1594,1454,1538,1377,1803,1412,1518,1557,1449,1540,1543,1570,1490,1492,1492,1634,1531,1642,1394,1596,1495,1414,1466,1422,1559,1421,1546,1467,1470,1366,1417,1206,1389,1468,1426,1294,1284,1310,1347,1347,1282,1373,1247,1289,1141,1121,1217,1142,1090,1073,1112,1007,1051,1038,867,934,805,885,844,803,751,788,635,636,645,630,678,619,578,596,473,510,467,374,366,349,428,375,404,362,299,357]
[54,28,46,56,74,78,78,180,94,191,206,204,284,241,338,315,364,458,562,466,617,659,682,581,769,721,890,876,823,954,1052,1006,1075,1211,1156,1182,1168,1321,1496,1286,1386,1297,1283,1266,1340,1400,1294,1396,1539,1564,1472,1450,1348,1460,1456,1335,1415,1534,1521,1518,1604,1581,1526,1625,1569,1681,1688,1644,1570,1642,1584,1538,1708,1499,1563,1860,1569,1700,1650,1628,1559,1657,1481,1526,1653,1614,1532,1539,1618,1536,1598,1492,1571,1524,1507,1370,1488,1491,1456,1355,1528,1357,1493,1474,1339,1372,1339,1357,1311,1331,1294,1260,1404,1287,1255,1195,1122,1043,1106,1092,1018,1061,928,972,977,918,881,833,726,789,660,697,675,645,662,573,530,537,498,505,453,424,436,479,418,389,356,341,297,339]
[66,48,48,68,68,54,74,100,176,220,174,237,323,346,400,372,488,490,587,679,658,640,716,816,866,896,915,947,937,1064,1128,1113,1296,1221,1178,1233,1186,1292,1297,1383,1405,1577,1379,1420,1374,1495,1478,1499,1460,1619,1414,1536,1539,1533,1502,1713,1592,1647,1646,1496,1603,1607,1586,1671,1718,1650,1610,1718,1564,1901,1815,1714,1748,1719,1713,1653,1742,1738,1992,1671,1856,1689,1721,1540,1725,1581,1611,1655,1728,1569,1662,1566,1525,1517,1509,1540,1461,1517,1468,1525,1560,1348,1505,1471,1455,1369,1436,1404,1390,1337,1340,1342,1131,1253,1214,1458,1258,1172,1119,1124,1019,981,1024,917,857,983,870,884,861,697,706,775,739,666,671,649,528,556,513,524,463,501,422,479,364,366,353,336,330,332]
[44,52,52,54,58,76,172,70,201,152,207,216,261,322,392,365,526,533,610,767,726,770,777,883,884,921,955,1065,1102,1054,1129,1253,1245,1339,1243,1266,1210,1382,1389,1449,1381,1451,1498,1914,1507,1501,1572,1598,1516,1642,1502,1553,1606,1639,1641,1559,1677,1705,1655,1752,1803,1777,1781,1752,1784,1728,1868,1779,1886,1883,1768,1783,1829,1616,1864,1756,1871,1917,1834,1770,1896,2164,1782,1707,1676,1645,1722,1616,1794,1633,1638,1702,1673,1736,1572,1681,1536,1639,1616,1583,1636,1503,1550,1484,1390,1511,1466,1369,1421,1444,1330,1380,1187,1276,1345,1229,1105,1181,1302,1140,1060,1012,1121,994,968,925,836,935,909,763,736,805,727,609,703,575,605,546,530,544,503,488,449,417,426,377,364,377,319,375]
[46,42,64,46,82,62,90,72,177,236,228,267,299,408,411,461,504,596,688,814,816,774,944,1013,1070,1166,1288,1218,1297,1213,1277,1374,1327,1435,1483,1397,1451,1406,1581,1680,1576,1654,1517,1598,1605,1657,2040,1682,1786,1767,1843,1833,1822,1722,1802,1908,1738,1978,1679,1792,1834,1825,1841,1735,1784,1799,1862,1929,1937,1846,1944,1881,2024,2007,1849,1924,1821,1914,2000,1878,1820,1914,1879,2263,1894,1974,1702,1892,1727,1758,1791,1739,1800,1693,1704,1698,1730,1583,1601,1561,1669,1764,1671,1626,1661,1630,1597,1625,1454,1496,1586,1393,1546,1294,1406,1283,1284,1277,1303,1074,1119,1328,1096,1064,915,973,1035,848,909,809,771,815,761,741,698,623,647,639,508,478,565,474,479,404,383,421,338,323,373,313]
[46,48,52,60,82,68,131,136,151,195,266,264,328,372,459,472,554,612,707,842,908,952,1100,1213,1147,1355,1285,1324,1416,1447,1427,1534,1455,1436,1589,1526,1651,1585,1671,1697,1753,1774,1761,1659,1721,1846,1888,1785,2011,2160,1905,1922,1952,1831,1834,1928,1907,2009,2063,2022,2105,2035,1871,1855,1873,1973,2056,2152,2005,1963,2122,2057,2133,2133,1979,1940,1938,1866,2066,2076,1989,2087,1891,2016,1976,1981,2367,2032,2011,2101,1919,2008,1820,1855,1927,1755,1871,1825,1738,1869,1761,1700,1612,1754,1645,1607,1634,1692,1686,1593,1433,1522,1580,1476,1344,1416,1342,1401,1302,1217,1185,1231,1190,1149,1234,981,903,941,838,771,817,744,749,710,737,711,589,621,536,586,595,554,560,470,443,447,435,410,306,402]
[48,42,88,66,64,78,100,214,202,249,203,276,290,395,432,654,629,773,881,930,1084,1042,1172,1265,1226,1285,1516,1510,1641,1678,1572,1670,1761,1614,1666,1686,1778,1644,1918,1901,1882,1922,1740,2020,1886,1984,2098,1989,2118,2101,2039,2159,2317,1938,2152,2000,2060,2003,2097,2245,2147,2118,2269,2149,2190,2157,2168,2175,2155,2274,2281,2277,2184,2094,2127,2176,2189,2157,2119,2184,2114,2066,2204,2223,2068,2103,2125,2002,2080,2461,1968,2024,1981,1961,1954,1955,1923,1870,1748,1861,1755,1912,1687,1792,1860,1836,1649,1794,1778,1844,1738,1646,1516,1522,1536,1488,1400,1328,1416,1231,1214,1124,1148,1076,1098,1058,1161,1013,936,951,856,766,737,690,667,723,658,625,551,512,436,537,519,447,363,447,505,407,414,382]
[44,50,70,72,62,90,98,100,147,216,256,312,387,537,488,546,749,910,962,1065,1124,1280,1399,1536,1433,1580,1580,1619,1715,1846,1774,1749,1902,1877,1858,1759,1930,1850,2015,2068,2132,2102,2058,2156,2064,1973,2097,2201,2330,2315,2347,2268,2289,2179,2128,2374,2184,2246,2270,2354,2234,2270,2294,2225,2203,2204,2247,2404,2431,2537,2574,2300,2362,2410,2120,2369,2473,2281,2347,2171,2395,2386,2260,2272,2130,2063,2105,2050,2273,2207,2122,2054,2596,2104,1980,1911,1990,2047,2054,2010,1883,2004,1868,1970,1796,1789,1792,1755,1854,1825,1781,1675,1647,1626,1535,1469,1503,1428,1461,1310,1259,1179,1109,1191,1112,894,983,919,958,1086,890,801,795,724,594,695,638,608,610,480,456,506,511,487,443,416,431,437,430,386]
[66,66,56,76,82,74,212,215,221,291,270,330,337,449,499,694,742,883,915,1156,1459,1236,1412,1439,1477,1612,1595,1752,1905,1959,2121,2054,2049,2058,1921,1859,1977,2086,2103,2178,2268,2311,2315,2057,1947,1968,2007,2157,2228,2320,2439,2311,2339,2236,2037,2026,2184,2217,2989,2344,2527,2483,2416,2322,2136,2138,2386,2448,2438,2523,2769,2651,2474,2354,2320,2138,2330,2324,2253,2390,2461,2391,2348,2116,2098,2040,2119,2186,2183,2240,2338,2325,2250,2162,2037,2348,2066,1922,1919,2057,2041,2057,2005,1794,1933,1747,1864,1834,1800,1643,1822,1756,1730,1618,1503,1499,1367,1497,1419,1318,1276,1345,1124,1086,1100,1011,1034,1048,912,918,806,758,856,792,708,625,637,569,620,516,457,521,461,462,402,475,354,395,363,323]
[46,48,42,70,92,140,155,122,201,235,294,343,421,430,509,662,858,844,1050,1213,1418,1468,1527,1752,1372,1470,1753,1879,1987,2225,2403,2310,2191,2151,1876,1882,2055,2055,2096,2403,2613,2428,2294,2274,2201,2081,2223,2200,2265,2421,2632,2706,2518,2326,2168,2290,2260,2414,2500,2677,2757,3290,2554,2464,2314,2309,2224,2331,2467,2740,2755,2906,2453,2488,2230,2196,2452,2391,2484,2456,2575,2546,2361,2133,2277,2121,2221,2269,2453,2510,2427,2444,2379,2163,2011,1986,1955,2052,2466,2197,2239,2085,2213,1834,1861,1817,1864,1869,2013,1864,1928,1756,1817,1720,1706,1570,1546,1479,1356,1302,1241,1200,1172,1159,1059,1044,1048,1004,907,840,853,825,809,701,652,780,747,627,585,567,590,537,508,433,509,466,432,407,366,349]
[66,72,58,96,86,197,199,259,250,339,337,331,528,504,720,818,932,1195,1547,1719,2000,1891,1723,1674,1782,1691,1907,2107,2532,2872,2921,2605,2279,1964,1841,2103,2259,2458,2653,2985,2791,2749,2481,1962,2121,2294,2163,2647,2683,3135,3130,2645,2468,2318,2322,2282,2320,2356,2815,3110,3010,3176,2525,2362,2393,2388,2613,2691,2921,3099,3230,2717,2471,2393,2380,2325,2432,2590,2665,3098,2839,2672,2363,2214,2369,2202,2128,2526,2700,2962,2686,2352,2394,2095,2054,2066,2170,2268,2387,2985,2531,2138,1987,1951,1878,1859,1966,2049,2218,2089,1976,1751,1739,1649,1676,1497,1472,1373,1403,1361,1242,1146,1256,1040,1059,942,974,937,954,877,921,685,791,793,727,716,686,640,599,561,557,514,458,486,424,411,389,343,331,392]
[52,48,72,84,148,209,147,231,175,170,316,374,392,565,607,829,858,974,1385,1999,2641,3098,2735,2041,1823,1821,1739,2377,2658,3323,3948,3874,2984,2484,2209,1970,2093,2252,2739,3336,3456,3395,3199,2561,2399,2155,2414,2290,2717,3555,3959,3531,3044,2742,2416,2335,2471,2467,2763,3344,3784,3480,3398,2733,3111,2390,2420,2652,2963,3712,3692,3480,3206,2654,2499,2554,2562,2546,2667,3298,3544,3198,3099,2498,2485,2230,2217,2288,2631,3401,3472,3248,2871,2429,2295,2086,2098,2318,2442,2941,3038,3294,2558,2143,1993,1909,2002,2093,2365,2610,2734,2308,2069,1870,1690,1573,1530,1621,1481,1297,1414,1195,1383,1249,1133,927,960,970,966,908,875,866,802,711,621,711,676,632,630,672,533,616,481,541,527,494,440,367,402,319]
[36,70,72,90,155,96,203,173,183,258,369,408,362,505,572,741,912,1000,1437,2339,3866,4375,4375,2857,1931,1786,1716,2084,2543,3753,6348,5242,4674,3470,2650,2210,2122,2283,2722,3910,5037,4854,4375,3264,2475,2289,2218,2438,2837,3948,4880,4696,4399,3300,2709,2546,2443,2673,3153,4155,4713,4532,4109,3514,2779,2503,2555,3093,3389,4296,4936,4522,3888,3128,2652,2511,2536,2636,3060,3873,4541,4296,3787,2873,2530,2296,2379,2510,2964,4210,4705,4429,3680,2837,2482,2241,2099,2382,2885,3732,4139,3732,3294,2596,2482,1921,1978,2098,2518,3504,3551,3306,2757,1990,1893,1632,1587,1629,1574,1465,1423,1378,1282,1249,1189,1169,1026,954,945,938,854,791,828,788,676,728,641,637,594,562,497,511,598,492,464,457,480,380,443,337]
[62,76,72,82,88,159,172,179,178,267,369,401,445,597,614,820,806,1087,1386,2483,4359,4583,4481,2938,2025,1886,1814,2143,2578,4045,5442,5596,5071,3928,2526,2324,2165,2373,2861,4365,5445,4982,4232,3258,2731,2360,2459,2592,2995,4234,5197,5481,4645,3513,2840,2629,2608,2567,3096,4461,5221,5338,4687,3633,3011,2689,2575,2923,3390,4217,6373,4937,4379,3622,2986,2644,2706,2672,3198,4148,4658,4564,3796,2971,2444,2370,2479,2638,3389,4726,5068,4568,3803,2981,2536,2273,2404,2413,3014,4047,4287,4258,3317,2673,2255,2188,2036,2737,2805,3701,4057,3498,2680,2146,1943,1763,1608,1639,1616,1422,1375,1420,1364,1301,1169,1050,994,1007,1006,1012,816,814,852,814,752,727,682,716,622,621,550,517,416,523,458,568,475,309,346,418]
[66,80,74,84,84,179,183,201,199,248,356,434,459,581,602,853,911,1178,1267,1649,2457,2941,2727,2225,1849,1758,1919,2030,2415,2757,4046,4187,3937,3180,2488,2722,2272,2379,2600,3203,3917,3916,3403,2804,2545,2276,2367,2544,2797,3617,4258,4253,3781,3076,2696,2581,2475,2737,3095,3570,4326,4323,4082,3386,2849,2576,2622,2879,3068,3629,4104,4098,3848,3904,2908,2729,2758,2738,2968,3392,3987,4015,3508,2950,2576,2472,2472,2488,2817,3392,3766,3815,3592,2917,2533,2276,2208,2367,2592,3018,3538,3521,2890,2606,2279,2160,2171,2146,2405,2852,3809,2981,2420,2094,1882,1675,1752,1673,1622,1632,1447,1314,1280,1323,1160,1109,1060,1105,1031,950,890,959,811,840,776,687,592,637,660,585,557,519,553,511,521,482,454,421,372,425]
[64,179,66,90,172,133,221,223,292,297,334,439,631,544,751,820,1083,1166,1279,1590,1949,2112,2127,1813,1728,1814,1933,1966,2244,2478,3087,2948,2742,2276,2197,1998,2186,2350,2894,2699,2970,2983,2772,2379,2496,2149,2408,2376,2698,3004,3271,3215,2837,2686,2609,2510,2570,2567,2711,3046,3060,3429,3062,2970,2645,2573,2677,2695,2882,3158,3328,3500,3013,2691,2709,2671,3247,2616,2735,2973,3174,2985,2755,2705,2514,2482,2395,2475,2659,2775,3091,3028,2665,2579,2371,2297,2182,2376,2401,2657,2839,2633,2411,2362,2198,2200,2008,2210,2166,2310,2500,2381,2118,2481,1933,1925,1732,1815,1736,1483,1459,1506,1384,1327,1176,1296,1082,974,1000,1000,909,924,919,803,718,653,665,727,632,546,586,520,499,429,443,421,426,453,333,421]
[76,60,48,200,88,155,160,270,321,270,367,367,585,573,689,949,994,1121,1333,1469,1785,1726,1760,1660,1793,1776,1895,1983,2188,2235,2387,2430,2420,2037,1936,2050,2065,2216,2317,2550,2665,3189,2613,2427,2204,2345,2343,2462,2505,2757,2884,2793,2744,2602,2334,2458,2369,2628,2590,2897,2796,2863,2727,2592,2572,2444,2649,2562,2668,2917,2990,3012,2946,2811,2535,2635,2584,2758,3339,2779,2719,2708,2879,2595,2551,2443,2454,2417,2482,2606,2559,2578,2526,2517,2285,2266,2306,2338,2191,2381,2464,2410,2437,2233,2185,2134,2168,2266,2324,2397,2227,2307,2229,1998,1878,1870,2094,1701,1614,1653,1504,1469,1429,1305,1188,1172,1197,1201,1083,993,982,862,848,759,793,662,633,665,676,722,541,526,494,574,441,450,469,426,420,333]
[78,86,78,157,139,182,163,232,218,258,287,436,514,566,750,853,1053,1232,1420,1661,1703,1707,1767,1750,1775,1925,2042,2262,2199,2188,2268,2303,2193,2106,2002,2041,2144,2467,2344,2428,2568,2514,2352,2335,2697,2396,2420,2394,2559,2656,2706,2696,2536,2477,2333,2405,2323,2553,2383,2600,2618,2785,2767,2435,2471,2608,2566,2711,2726,2749,3103,3032,2653,2662,2572,2726,2605,2604,2682,2747,2717,3319,2618,2429,2466,2594,2572,2363,2432,2525,2432,2613,2348,2379,2218,2228,2347,2250,2361,2307,2305,2421,2292,2257,2162,2177,2220,2219,2247,2212,2048,2154,2032,1971,1905,1816,1862,1842,1580,1899,1402,1400,1249,1245,1277,1158,1117,1047,980,964,874,826,795,832,765,691,704,679,666,635,569,560,504,470,480,420,368,369,411,326]
[76,86,62,214,119,185,199,235,302,345,320,484,495,622,799,920,1174,1287,1397,1829,1922,1985,1911,1930,1835,1972,1975,2273,2189,2333,2346,2199,2300,2057,2135,2152,2202,2246,2311,2656,2562,2485,2523,2347,2305,2362,2377,3016,2781,2624,2739,2847,2720,2510,2459,2285,2474,2507,2650,2702,2461,2774,2508,2473,2595,2648,2552,2713,2861,3001,2844,3051,2964,2787,2682,2738,2772,2579,2801,2769,2649,2686,2545,2669,3134,2565,2578,2551,2543,2530,2535,2511,2525,2485,2297,2403,2321,2355,2321,2459,2348,2350,2275,2277,2205,2331,2232,2280,2268,2322,2194,2171,2040,2003,2102,2025,1831,1867,1789,1732,1544,1746,1412,1331,1258,1171,1152,984,1022,1069,913,812,808,808,798,760,660,735,638,521,599,601,577,422,437,483,464,304,434,413]
[76,80,94,88,211,169,216,258,298,325,375,421,640,757,769,1038,1207,1281,1635,1995,2303,2226,2116,1858,1768,1994,1972,2151,2240,2477,2468,2478,2327,2035,1933,2186,2274,2315,2558,2579,2657,2785,2484,2531,2267,2472,2484,2507,2833,2935,3398,2960,2765,2526,2464,2466,2591,2673,2743,2889,2560,2792,2687,2585,2525,2549,2844,2760,2891,3109,3034,3146,2988,2932,2671,2804,2838,2817,2831,3075,2899,2787,2793,2679,2740,2627,2586,3065,2596,2657,2456,2575,2483,2372,2171,2271,2419,2429,2616,2514,2510,2629,2314,2237,2238,2162,2271,2240,2269,2317,2328,2177,2224,1940,1946,2026,1847,1870,1821,1713,1578,1583,1392,1391,1537,1229,1131,1051,1057,1018,869,843,779,838,729,633,625,687,584,590,551,503,507,430,445,446,453,425,454,307]
[62,94,84,86,160,198,221,160,267,361,368,416,529,659,789,1235,1249,1505,1708,2475,2927,2777,2474,2082,1869,1979,2073,2154,2278,2600,2879,2703,2539,2221,2041,2163,2394,2324,2489,2754,3075,2877,2637,2527,2404,2433,2531,2439,2815,2916,3054,2935,3331,2536,2447,2700,2608,2626,2636,2801,2834,2848,2702,2633,2509,2635,2823,3101,3015,3257,3476,3455,3211,2813,2619,3032,2777,2926,2937,3042,3244,2986,2864,2717,2533,2588,2716,2686,2500,2607,3265,2597,2571,2408,2279,2412,2359,2451,2459,2695,2668,2527,2411,2268,2387,2321,2272,2379,2425,2646,2609,2461,2259,2048,1896,2040,1910,1742,1685,1633,1565,1498,1444,1365,1265,1139,1259,1199,1044,1019,878,893,785,703,702,680,614,612,675,569,561,603,500,487,438,415,412,447,483,348]
[46,90,80,168,147,161,230,251,294,352,393,447,492,685,782,1150,1160,1454,2417,3274,4391,4490,3683,2822,2199,2090,2227,2219,2420,3113,3731,3513,3156,2451,2263,2311,2472,2439,2649,3283,3797,3605,3093,2703,2565,2578,2586,2752,2642,3432,3893,3877,3210,2774,2711,3104,2584,2629,2731,3022,3070,3051,2911,2770,2597,2826,2845,3039,3200,3730,4102,3791,3376,3107,2791,2844,2861,2940,3055,3539,3639,3652,3142,2765,2695,2616,2610,2590,2558,2922,3023,2882,2431,2822,2323,2207,2316,2341,2639,3006,3304,3111,2668,2455,2194,2309,2186,2551,2725,2967,3328,2836,2524,2214,2073,2069,1853,1796,1789,1593,1517,1445,1347,1336,1264,1184,1179,1060,987,923,1175,899,800,835,759,681,724,589,634,601,512,534,580,469,464,408,459,382,348,437]
[58,94,84,76,141,100,201,200,262,304,370,480,564,570,794,1104,1303,1479,2025,3727,5654,6705,5145,3452,2697,2164,2031,2267,2399,3384,4597,4444,3951,2852,2343,2199,2207,2503,2715,3729,4674,4345,3909,2845,2663,2478,2563,2657,3029,3670,4587,4426,4155,3127,2887,2742,2709,2648,3239,3141,3548,3704,3069,2614,2607,2743,2865,3110,3352,4177,4643,4509,3771,3223,2849,2897,2785,2899,3242,3825,4220,4160,3638,2968,2743,2635,2571,2742,2755,3286,3573,3427,2765,2460,2296,2827,2361,2599,2884,3680,3737,3605,2971,2503,2387,2135,2379,2483,3004,3918,3914,3374,2781,2249,2000,2036,1876,1800,1826,1672,1570,1443,1370,1247,1286,1193,1048,1065,1026,990,900,941,887,966,753,724,674,692,662,597,581,526,509,456,456,513,390,411,354,417]
[78,72,98,164,108,223,257,234,280,292,361,415,468,606,794,1066,1286,1658,2277,4086,5933,6502,5481,3729,3330,2162,2151,2346,2711,3498,4608,4436,3933,2975,2478,2240,2349,2589,2829,3759,4714,4810,3899,2986,2609,2504,2569,2736,2933,3889,4655,4630,4066,3215,2829,2807,2674,2767,2757,3126,3753,4168,3094,2921,2786,2790,3052,2955,3641,4261,4910,4479,3872,3197,2899,2786,2853,2751,3331,4154,4450,4192,3601,2973,2796,2477,2667,2825,2709,3524,3615,3525,2993,2677,2358,2326,2463,2427,3885,3734,4152,3762,2965,2421,2389,2272,2422,2450,3246,3861,3948,3646,2817,2418,2238,2007,1897,1970,1862,1724,1570,1541,1446,1335,1365,1213,1192,1196,1008,1009,984,970,913,770,799,764,765,641,630,736,599,588,525,550,502,381,447,426,437,398]
[54,86,100,84,171,142,181,265,277,251,399,463,538,715,804,1004,1173,1415,1899,2785,4154,4879,4391,2902,2410,2218,2112,2693,2351,2770,3383,3449,3297,2650,2298,2172,2070,2384,2693,2997,3529,3690,3354,2851,2721,2622,2484,2659,2826,3265,3732,3974,3515,3081,2836,2565,2575,2583,2649,2838,3067,3153,3022,2856,3134,2761,2694,2765,3036,3699,3980,3961,3430,3155,2866,2745,2969,2794,3024,3414,3733,3729,3319,2828,2690,2722,2650,2749,2795,2939,3185,3149,2859,2494,2434,2487,2426,2501,2735,2999,3376,4205,2825,2574,2376,2440,2380,2659,2799,3191,3290,3015,2640,2431,2203,2071,1980,1949,1796,1717,1775,1474,1541,1421,1367,1304,1216,1136,1111,1038,876,1006,888,829,882,846,784,696,761,646,533,563,541,578,462,432,471,391,369,347]
[64,78,72,82,146,161,205,197,233,272,387,462,498,673,748,966,1198,1399,1571,2001,2387,3014,2859,2300,2062,2011,2072,2065,2107,2952,2533,2828,2623,2333,2225,2161,2104,2378,2502,2622,2938,2957,2823,2553,2458,2522,2510,2732,2736,3059,3046,3162,3010,2773,2740,2574,2604,2612,2758,2885,2860,3084,2985,2734,2714,2669,2870,3162,2973,3299,3334,3290,3094,2871,2828,2676,2708,2858,2881,3098,3205,3101,3126,2753,2818,2707,2745,2670,2713,2674,2822,2871,2774,2301,2522,2379,2379,2556,2654,2604,2652,2923,2793,2580,2956,2476,2501,2525,2578,2544,2730,2687,2496,2251,2085,2149,1885,1978,1737,1780,1739,1546,1447,1422,1369,1256,1269,1202,1123,1095,1074,1008,895,806,778,780,778,712,621,656,589,733,582,515,428,435,445,451,377,356]
[66,72,90,88,142,212,181,268,265,305,439,414,553,782,868,1003,1173,1267,1533,1728,2057,2333,2130,1817,1687,1896,1986,1999,2248,2146,2297,2400,2538,2307,2062,2088,2157,2313,2376,2489,2612,2692,2630,2450,2453,2405,2365,2452,2592,2865,2750,2988,2891,2698,2699,2646,2617,2695,2729,2724,2806,2857,2810,2511,2682,2721,2880,2843,2912,3085,3428,3143,2953,2807,2714,2862,2898,2840,2876,2950,2881,2903,2886,2910,2670,2651,2658,2705,2689,2645,2719,2656,2667,2509,2478,2646,2326,2430,2411,2378,2569,2595,2691,2550,2525,2544,2255,3080,2564,2445,2509,2569,2525,2330,2257,2083,2073,2003,1780,1782,1661,1589,1490,1413,1383,1234,1182,1122,1139,1095,1038,908,969,828,802,680,687,641,692,614,606,547,490,489,505,471,480,365,394,426]
[74,72,96,228,157,111,152,182,284,316,326,440,595,735,827,984,1106,1317,1395,1678,1901,1970,2067,2001,1974,1953,1943,2184,2240,2171,2323,2383,2242,2199,2491,2074,2307,2351,2549,2538,2684,2657,2474,2632,2353,2343,2503,2580,2675,2808,2924,2851,2734,2821,2535,2649,2686,2689,2804,2997,3021,2707,2899,2816,2722,2717,2913,2835,2883,2957,3095,3149,3533,2871,2769,2928,2807,2921,2993,3205,2909,3105,2924,2873,2719,2796,2838,2702,2664,2527,2608,2735,2723,2734,2466,2600,2417,2584,2548,2455,2584,2376,2570,2568,2489,2351,2555,2511,2595,2971,2671,2308,2387,2197,2112,2079,2055,1992,1890,1818,1796,1605,1494,1486,1401,1352,1191,1247,1021,1035,1026,861,896,808,808,801,716,776,660,702,611,554,564,489,494,434,532,379,369,393]
[70,88,62,90,176,141,261,224,268,304,390,505,630,684,851,1044,1135,1357,1550,1843,2041,2072,2066,1843,1721,1971,2013,2112,2295,2348,2354,2254,2229,2115,2075,2054,2298,2933,2637,2638,2567,2688,2553,2599,2454,2518,2574,2653,2887,2879,2949,2713,2902,2714,2754,2649,2644,2810,2811,2711,2887,2777,2810,2769,2784,2707,2926,3038,2934,2997,3058,3067,2893,2812,2904,3445,2816,3044,2945,3058,3042,3090,2775,2882,2752,2656,2669,2784,2673,2532,2684,2701,2668,2537,2541,2494,2413,2498,2522,2534,2486,2513,2530,2576,2451,2577,2490,2572,2622,2642,2665,2557,2924,2227,2155,2115,1927,1799,1855,1807,1821,1528,1469,1575,1379,1288,1115,1143,1163,1083,1082,953,915,907,726,816,768,685,704,564,621,613,621,497,538,451,418,432,416,487]
[58,72,70,86,188,224,256,220,278,310,402,498,574,702,870,1014,1209,1459,1618,1925,2249,2355,2097,1877,1858,1972,2071,2044,2289,2459,2439,2446,2350,2249,2119,2070,2102,2373,2738,2984,3430,2747,2739,2477,2507,2450,2660,2695,2928,2988,3100,2909,2936,2639,2698,2731,2631,2574,2882,2966,2928,2887,3001,2739,2812,2683,2848,2808,3008,3040,3026,2985,2886,2770,2889,3001,2837,2927,3669,3105,3239,3111,2910,2950,2739,2820,2675,2720,2795,2701,2807,2706,2661,2571,2559,2666,2695,2585,2567,2668,2432,2592,2535,2401,2530,2626,2572,2520,2561,2555,2746,2528,2347,2272,2283,2513,2090,1946,1902,1905,1673,1585,1524,1376,1430,1267,1442,1192,1088,1071,1053,979,941,865,894,784,710,733,665,662,591,512,562,566,450,453,540,410,410,339]
[70,90,66,80,90,216,240,280,262,357,368,478,535,658,850,1106,1323,1630,1940,2634,3078,2977,2530,2016,1899,1921,2106,1992,2284,2601,2737,2757,2265,2216,2068,2280,2396,2530,2736,3068,3338,3387,3005,3221,2575,2616,2538,2658,2825,3182,3280,3147,2988,2842,2708,2917,2851,2745,2846,3158,3130,3144,2835,2741,2698,2860,2874,2884,2999,3082,3251,3022,2916,2877,2866,2859,2996,2864,3121,3250,3897,3173,2942,3052,2754,2852,2666,2681,2849,2842,2954,3015,2620,2516,2519,2579,2615,2666,2779,2554,2654,2498,2434,2493,2444,2486,2522,2629,2688,2932,3009,2568,2446,2359,2295,2206,1988,1987,2175,1730,1698,1557,1451,1419,1371,1272,1250,1145,1115,1033,1025,934,880,819,784,722,646,706,670,646,519,560,568,537,413,382,476,381,373,341]
[84,130,98,169,117,88,158,218,221,356,398,459,593,712,914,1136,1396,1757,2449,3817,4609,4766,3667,2846,2296,2171,2195,2220,2466,3106,3631,3273,2938,2682,2290,2255,2496,2588,3167,3958,4415,4112,3604,3221,2825,2768,3147,2739,3092,3642,3882,3752,3263,2917,2808,2613,2758,2874,3147,3383,3617,3368,3011,2993,2862,2899,3015,2886,3198,3462,3630,3482,3186,2970,2849,2945,3051,2952,3225,3894,4055,3771,3407,3594,2992,2876,2848,2988,2888,3171,3201,3122,2852,2658,2744,2595,2511,2783,2556,2797,2874,2737,2580,2583,2438,2665,2770,2752,3081,3196,3397,3174,2658,2542,2311,2359,2085,2049,2079,1844,1770,1912,1551,1491,1436,1425,1181,1217,1139,1059,1006,952,865,812,728,790,694,633,604,637,613,566,492,508,510,476,397,465,390,447]
[64,64,82,94,206,147,196,205,286,331,411,471,652,691,911,1200,1363,1946,2866,4898,6261,6003,5099,3615,2797,2389,2138,2205,2783,3584,4564,4443,3942,3122,2434,2318,2467,2771,3271,4506,5552,5086,4589,3777,3174,2752,2771,2983,3142,4836,4615,4595,3715,3027,3030,2873,3043,3058,3072,3687,4020,3913,3198,2911,2780,2935,2923,3078,3318,3998,4097,3972,3488,3171,3054,2956,2988,3088,3697,4228,4405,4483,3732,3209,2962,2942,3382,2907,3058,3435,3678,3344,3235,2767,2699,2832,2640,2703,2536,2754,2998,2884,2701,2509,2595,2478,2763,2756,3516,4274,4113,3703,2802,2490,2337,2265,2068,1961,1771,1891,1667,1675,1496,1744,1325,1350,1158,1224,1107,1096,1016,1040,917,857,766,703,669,673,642,678,556,475,498,520,413,464,435,441,348,427]
[78,72,90,80,205,164,205,270,260,341,349,511,538,577,1028,1026,1324,1804,2918,4994,6719,6696,5111,3384,2506,2146,2216,2139,2612,3533,4588,4800,4200,2960,2355,2280,2431,2719,3194,4542,5453,5118,4665,3852,3087,2775,2654,2846,3048,3929,4459,4464,4682,3091,2958,2786,2778,2957,3133,3619,3841,3783,3271,2981,2752,2813,2928,3005,3063,4009,4101,4260,3662,3189,2888,2884,2871,3141,3591,4276,4645,4398,3837,3201,2822,2764,2791,2843,3013,4316,3642,3479,2973,2863,2605,2476,2669,2660,2638,2815,3008,2854,2647,2604,2474,2635,2832,2686,3383,3959,4109,3724,3105,2634,2315,2207,2150,2126,1891,1887,1798,1615,1517,1400,1386,1200,1465,1191,1178,1079,1055,1000,859,900,802,786,749,734,615,603,568,659,594,555,460,462,435,487,377,378]
[74,88,58,90,175,196,157,191,285,356,361,432,538,691,845,1044,1238,2028,2252,3293,4646,5153,4033,3033,2284,2053,2101,2314,2316,2789,3329,3844,3378,2658,2492,2470,2369,2629,2947,3725,4252,4428,3986,3297,2975,2752,2818,2761,2940,3508,3856,3735,3458,3049,3433,2678,3047,2981,3137,3112,3538,3616,3299,2998,2816,2944,3026,3078,3242,3342,3446,3482,3306,3120,3046,2831,2868,3065,3247,3456,3825,3826,3340,3199,2857,2802,2829,2989,2948,3028,3264,3018,3519,2949,2841,2491,2719,2885,2681,2722,2832,2827,2655,2656,2500,2610,2803,2763,3110,3466,3656,3345,2770,2571,2346,2270,2226,1978,1956,1863,1784,1595,1550,1368,1452,1282,1238,1278,1201,1329,1060,930,923,1016,770,811,700,672,702,650,588,529,517,541,477,491,469,446,404,438]
[60,72,66,96,158,208,195,272,223,292,388,407,543,693,832,964,1176,1312,1784,2260,3603,3364,3003,2290,2102,1963,1896,2064,2262,2467,2757,2889,2654,2334,2248,2120,2456,2603,2824,3148,3311,3459,3131,2802,2764,2658,2724,2710,2757,3108,3170,3309,2966,2987,2792,2832,2910,3539,3019,3289,3309,3026,2797,2883,3009,2878,2947,3074,3111,3087,3177,3217,3033,3014,2930,2945,3050,3050,2966,3525,3406,3571,3118,3008,3054,2917,2990,2997,2831,2832,2986,3188,2838,2896,2824,3257,2720,2817,2747,2784,2764,2915,2646,2586,2660,2624,2996,2753,2949,3001,2881,2908,2707,2523,2366,2298,2150,2117,1940,1868,1725,1730,1659,1581,1471,1276,1260,1268,1171,1111,1091,837,1273,900,757,837,761,753,624,567,631,527,628,543,524,472,487,417,432,323]
[86,82,167,177,149,131,202,278,248,254,318,386,496,621,748,874,1125,1349,1375,1625,2068,2158,2178,2374,1822,1928,2029,2295,2196,2257,2400,2360,2224,2226,2155,2256,2355,2427,2670,2931,2962,2790,2814,2677,2606,2539,2716,2853,3000,2925,3101,3128,2916,2813,2828,2920,2983,2996,3050,3066,3842,3117,2993,2857,2884,2738,2990,3167,2950,3260,3145,3171,2959,2850,2908,2846,3102,3119,3036,3132,3234,3083,3124,3074,2914,2912,2875,3025,3069,2887,3051,3053,2931,2937,2778,2681,2722,3310,2894,2834,2813,2792,2775,2680,2748,2768,2708,2597,2952,2922,2879,2890,2603,2487,2315,2425,2160,2191,1862,1943,1819,1767,1673,1533,1319,1389,1318,1220,1259,1122,1065,979,1065,874,842,923,724,652,683,688,674,519,562,529,454,437,462,369,407,360]
[52,92,78,100,86,198,207,198,226,312,394,472,527,673,932,1072,1019,1192,1424,1569,1807,2023,1946,1798,1693,2187,2178,2155,2155,2185,2271,2308,2316,2067,2288,2160,2350,2595,2547,2746,2678,2694,2734,2633,2478,2526,2542,2754,2991,3010,2846,2988,2750,2801,2906,2716,2863,2843,2966,3241,3179,3169,2838,3660,2791,2782,2801,3012,3120,3218,2952,3198,3039,2915,2871,2977,2949,3126,3202,3034,3082,3186,3071,3072,2822,2869,2879,2992,2901,2930,2928,2898,2921,2870,3077,2800,2749,2923,2758,2802,3381,3017,2867,2747,2680,2731,2817,2859,2885,2955,2942,2742,2779,2556,2317,2294,2181,2096,1982,1887,1803,1739,1640,1511,1498,1338,1340,1224,1210,1178,1157,1075,1005,885,855,857,724,831,663,641,616,553,577,508,522,427,455,323,398,420]
[66,64,135,170,142,226,242,273,264,318,434,444,614,656,796,962,1134,1259,1440,1704,1923,1878,1919,1893,1792,1801,1898,2213,2745,2116,2106,2258,2234,2118,2109,2069,2225,2250,2506,2577,2545,2673,2578,2639,2583,2433,2542,2640,2897,3140,2875,3022,2840,2810,2789,2869,2935,2868,3090,3063,3025,3073,3187,2732,2905,2854,3364,3046,3053,3148,2911,3127,2912,2958,2936,2765,2758,2779,3107,3312,3057,3049,3214,3093,2993,2877,2957,3164,2771,2880,2935,3025,2991,2836,2803,2824,2877,2882,2947,2941,3044,3112,2890,3325,2908,2767,2824,2912,3008,3015,2896,2803,2667,2631,2553,2423,2272,2197,1886,1940,1880,1707,1617,1596,1399,1334,1328,1310,1123,1138,995,1073,1064,879,879,797,735,751,745,571,722,592,570,561,488,435,432,387,418,329]
[44,66,76,142,141,164,189,281,315,378,355,387,513,699,823,944,1150,1327,1484,1740,2085,2075,2203,1867,1755,1761,1836,2025,2106,2313,2190,2723,2182,2018,2152,2290,2286,2402,2383,2601,2603,2511,2589,2472,2603,2559,2660,2678,2974,2944,3057,3092,2801,2876,2955,2861,2917,2800,3090,3249,3044,3407,3037,3142,2954,3035,3009,2986,3013,3956,3198,3076,3103,2896,2983,2911,3002,3123,3373,3240,3184,2852,2979,2911,2938,2981,2868,3055,3024,3057,2973,3176,2888,3044,2919,2877,2874,3045,3168,3111,3181,3287,3013,2969,2933,2959,3400,2981,3188,3170,3197,3024,2837,2608,2403,2532,2259,2029,2035,1960,1909,1720,1588,1588,1505,1399,1270,1245,1234,1121,1060,918,957,866,875,815,785,688,627,668,606,502,560,646,484,445,475,424,391,319]
[50,100,84,96,164,174,157,230,300,343,402,404,500,655,785,1007,1252,1428,1737,2177,2672,2765,2498,2043,1758,1758,2026,1851,2238,2219,2578,2440,2249,2021,2585,2180,2236,2190,2522,2663,2612,2761,2681,2622,2578,2556,2567,2576,2869,3064,3039,3136,2940,2869,2970,2898,2940,2867,3146,3314,3492,3472,3301,3092,2988,3082,3051,3060,3020,3113,3231,3736,3040,2842,2921,2905,2875,3034,3151,3044,3164,3162,3212,3023,2992,2956,2917,2994,3149,3272,3230,3167,3135,2903,2809,2922,2953,2993,3198,3334,3334,3227,3043,3066,2914,2907,2894,2902,3307,4173,3640,3283,2804,2613,2461,2368,2165,2356,2092,1904,1714,1944,1707,1402,1429,1286,1293,1119,1187,1056,976,938,971,821,836,778,817,618,691,580,648,690,576,454,480,474,491,400,362,390]
[80,78,146,98,215,182,225,227,294,272,394,505,559,695,925,1101,1334,1658,2051,3286,4182,4157,3357,2715,2341,2061,2156,2119,2379,2958,3434,3180,3096,2546,2417,2295,2419,2910,2822,3102,3149,3334,3201,2794,2663,2760,2835,2871,3143,3436,3892,3589,3336,2967,2878,2957,3006,3078,3469,3898,4305,3988,3602,3017,3159,3030,3055,3155,3060,3383,3605,3140,3117,3030,3708,3011,2914,3227,3002,3245,3358,3413,3139,2996,2975,2956,3020,3097,3406,3672,3567,3523,3279,3097,2951,3120,3141,3236,3803,4083,3857,3816,3326,2904,3085,3109,3066,3454,4083,4443,4048,3590,3905,2720,2562,2349,2223,2216,2133,1984,1803,1728,1618,1667,1524,1376,1218,1202,1073,1070,1009,913,957,909,823,776,715,786,716,640,597,571,535,472,425,511,477,371,357,504]
[60,76,98,98,96,165,207,275,291,350,366,466,604,662,867,1058,1286,1690,2688,4203,5557,5476,4608,3006,2625,2194,2127,2049,2432,3624,4364,4352,3957,2939,2428,2358,2536,2583,2805,3329,4995,4122,3665,2969,2717,2641,2778,2944,3285,3914,4652,4293,3572,3241,3030,2950,3003,3338,3481,4617,4682,4819,3936,3295,3120,3114,3146,3035,3306,3746,3918,3907,3181,2950,2908,2813,2880,3708,3100,3545,3816,3427,3158,3083,3129,3195,2981,3114,3640,4234,4427,4086,3472,3278,3026,2894,3143,3276,4351,5016,4752,4412,3670,3409,3008,3037,3235,3823,4976,5561,5476,4673,3874,3070,3216,2596,2286,2240,1994,1941,1923,1686,1617,1490,1530,1353,1237,1103,1133,975,1092,887,938,817,748,806,747,609,662,662,529,579,518,514,522,460,469,330,414,346]
[68,76,196,228,190,187,216,233,244,281,331,556,510,656,832,1010,1364,1648,2678,4434,5802,6052,5018,3608,2778,2225,2172,2486,2365,3353,4308,4705,4089,2916,2635,2478,2508,2515,2957,3551,4108,4039,3627,3535,2727,2825,2736,2944,3355,3892,4480,4169,3726,3190,2925,3029,3160,3203,3663,4479,4682,4818,3943,3367,3355,3121,3196,3173,3293,3772,3889,3943,3353,3189,3110,3255,2994,3143,3313,3529,4435,3505,3262,3162,2923,2995,3205,3304,3734,4158,4474,4046,3468,3420,3047,3096,3231,3619,4252,4839,4916,4592,3678,3404,3023,3213,3535,3891,4951,5607,5779,4752,4002,3205,2905,2546,2432,2705,2161,2017,1780,1789,1548,1547,1418,1385,1380,1286,1197,1088,1103,1102,928,846,806,844,792,764,685,681,635,581,542,555,540,541,490,486,407,388]
[64,96,52,122,70,244,227,245,379,283,428,474,683,688,754,979,1186,1591,2074,2887,4658,4755,4067,3243,2509,2113,2196,2137,2418,2683,3352,3610,3143,2616,2553,2287,2410,2702,2674,3120,3406,3487,3181,2889,2778,2579,3400,2911,3103,3399,3634,3678,3282,3186,2941,2950,3034,3266,3358,3780,4283,4119,3736,3351,3132,3065,3112,3212,3202,3375,3612,3517,3304,3234,2904,3024,3169,3135,3159,3267,3457,3219,3329,3574,3126,3145,3097,3140,3608,3612,3876,3839,3371,2964,3109,2923,3060,3298,3703,4119,4328,4144,3648,3161,3186,3090,3220,3458,4231,4890,4856,4515,3527,3151,2779,2468,2563,2248,2152,1792,2288,1716,1547,1714,1507,1445,1381,1337,1223,1110,1046,990,971,916,760,770,677,736,590,593,591,575,542,549,484,412,418,378,302,423]
[76,98,94,94,129,210,258,279,253,318,458,514,586,697,752,976,1083,1435,1547,2083,2771,3029,2717,2260,2098,1876,2052,2174,2371,2281,2700,2577,2467,2265,2413,2313,2584,2370,2530,2645,2815,2978,2904,2720,2852,2605,2651,2919,2936,3530,3098,3034,3208,3038,2734,2853,2932,2972,3099,3452,3791,3522,3380,3258,3105,3185,3087,3142,3107,3237,3431,3261,3088,3078,3013,2991,3106,3142,3248,3155,3234,3138,3150,3000,3005,2807,3674,3230,2984,3308,3395,3411,3371,3084,2942,2971,3179,3110,3525,3504,3608,3505,3408,3163,3048,3006,3237,3325,3336,3623,3847,3467,3082,3078,2817,2457,2306,2255,2115,1906,1851,1740,1631,1879,1388,1574,1350,1272,1180,1138,1185,1020,967,876,807,726,781,695,691,607,574,651,454,573,531,471,459,492,412,380]
[72,134,86,114,160,222,194,208,258,322,361,457,569,640,1051,995,1140,1214,1389,1734,2296,2280,2173,1875,1918,2075,1807,2107,2233,2305,2394,2348,2343,2204,2087,2240,2326,2418,2700,2658,2700,2671,2694,2702,2540,2639,2739,2837,2800,2947,3050,3585,3031,2921,2906,2823,3090,3081,3116,3393,3294,3517,3198,3101,3007,3043,2990,2932,3120,3159,3203,3254,3096,3056,2863,2870,3001,3122,3113,3322,3208,3259,3109,2976,3005,2980,2995,2979,3088,3874,3054,3287,3172,3168,3086,2997,3015,3030,3087,3264,3392,3325,3209,3017,3037,2851,2937,3041,3043,3135,3179,3040,2895,2904,2629,2612,2127,2193,2054,1955,1772,1832,1706,1504,1402,1405,1470,1236,1200,1119,1071,1034,979,888,784,769,724,729,712,654,600,569,589,382,463,418,453,446,378,381]
[90,78,92,96,185,155,190,289,278,310,346,439,526,657,740,963,1046,1419,1485,1838,1943,2039,1877,1865,1816,1818,2089,2126,2437,2453,2346,2360,2409,2248,2272,2277,2357,2563,2462,2773,2618,2855,2819,2686,2700,2623,2646,2944,3034,3038,3070,3168,3101,2980,3485,2861,2906,3028,3239,3247,3370,3242,3132,3058,3048,3061,3079,3102,3320,3351,3435,3398,3165,3178,2959,2987,3096,3126,3216,3266,3182,3160,3216,3121,2978,2896,2961,2897,3282,3274,3254,3347,3838,3262,3027,3027,3052,2987,3344,3458,3334,3249,3203,3128,2979,2944,2997,2966,3091,3103,3198,3029,2753,2587,2459,2519,2386,2113,2127,1927,1866,1706,1623,1505,1435,1456,1253,1230,1234,1299,1016,969,922,840,844,836,665,706,695,676,540,529,630,527,450,423,438,372,431,360]
[76,121,78,90,128,151,279,244,300,260,386,501,530,655,892,1035,1138,1389,1539,1753,2398,1963,1936,1962,1971,2030,2202,2237,2457,2445,2507,2393,2403,2270,2210,2095,2405,2497,2520,2729,2591,2939,2773,2633,2603,2611,2757,2977,3146,3111,3014,2932,2923,2986,2925,3000,2892,3591,3229,3321,3173,3255,3160,3109,3073,3030,3090,3109,3350,3235,3356,3270,3103,3140,3036,2992,3064,3171,3323,3326,3414,3254,3088,3113,2957,2894,3105,3097,3133,3159,3285,3259,3127,3156,3123,3588,3161,3113,3214,3251,3307,3332,3205,3249,3084,2946,2868,3003,3200,3193,2986,2885,2852,2572,2468,2383,2360,2278,2117,1889,1976,1927,1590,1630,1442,1508,1433,1342,1161,1148,1014,965,1056,818,759,737,772,676,709,540,584,619,489,489,443,500,355,445,425,337]
[84,80,86,196,98,217,248,279,317,275,363,454,516,646,790,995,1221,1398,1795,2091,2333,2318,2263,2342,2001,2035,2151,2226,2560,2603,2794,2545,2424,2323,2387,2418,2355,2489,2793,2996,2906,2910,2756,2680,2723,2639,2652,3061,3266,3241,3208,3217,3044,3002,3136,2999,2946,3170,3265,3459,4110,3331,3248,3213,3226,3026,3005,3129,3339,3445,3468,3248,3262,3138,2996,3077,3044,3342,3365,3241,3363,3323,3117,3112,3040,3011,3011,3023,3137,3243,3342,3285,3155,3078,3036,3016,3254,3841,3345,3572,3347,3383,3057,3222,3060,3154,2937,3190,3037,3168,3184,2993,2882,2565,2468,2491,2317,2062,2078,1891,1791,1689,1523,1680,1480,1409,1356,1256,1195,1123,1005,944,915,900,892,1007,697,739,700,649,561,600,467,505,435,418,444,392,436,378]
[80,96,90,96,150,221,184,248,334,299,383,494,532,716,797,1006,1363,1766,2158,2773,3673,3413,3035,2466,2326,2765,2185,2347,2710,3159,3334,3111,2871,2409,2507,2486,2534,2718,2948,3338,3486,3307,3132,2845,2985,2796,2849,3058,3176,3438,3780,3497,3386,3090,3060,3092,3161,3277,3537,3786,3826,3589,3524,3978,3253,3175,3010,3027,3376,3691,3735,3350,3174,3156,3188,3034,3132,3246,3460,3738,3845,3529,3428,3242,3117,3119,3069,3184,3441,3568,3585,3440,3109,3251,3104,3167,3154,3261,3683,3894,4705,3533,3517,3186,3106,3107,3054,3178,3590,3554,3429,3093,2784,2724,2657,2474,2172,2090,2207,1816,1785,1668,1633,1569,1409,1396,1419,1289,1031,1136,1018,952,975,941,772,811,758,819,707,594,593,494,487,629,471,420,413,401,420,370]
[62,168,100,188,80,153,183,217,271,302,406,481,592,554,783,993,1341,1783,2600,3952,5099,4966,4557,3646,3163,2575,2549,2482,3326,3645,4353,4094,3579,3124,2839,2713,2682,2673,3069,4035,4502,4183,3879,3478,3185,3212,2980,3179,3538,4162,4473,4273,3922,3552,3409,3270,3346,3287,3702,4564,4674,4468,4112,3630,3464,3321,3895,3358,3777,4378,4520,4194,3910,3366,3383,3169,3340,3549,3927,4611,4577,4228,3779,3456,3273,3165,3301,3244,3779,3967,4000,4084,3608,3338,3282,3368,3468,3507,4356,4482,4605,4217,3734,4061,3148,3188,3361,3535,4008,4371,4417,3839,3209,2803,2687,2534,2348,2203,2131,2028,1971,1766,1785,1622,1535,1311,1368,1245,1170,1146,1038,1023,873,844,830,756,709,637,699,639,710,573,533,453,519,440,392,451,336,404]
[76,72,162,124,183,184,218,232,276,369,375,371,531,725,773,1040,1308,1740,3151,5317,6497,6455,5689,4645,3650,2843,2624,2506,2946,4179,5447,6576,4686,3590,2874,2782,2557,2830,3453,4467,5295,5056,4538,3804,3245,3030,3057,3337,3744,5090,5557,5203,4404,3806,3382,3203,3317,3381,3921,5031,5810,5178,4647,4036,3531,3264,3443,3537,5058,5339,5380,4964,4205,3624,3336,3415,3569,3726,4188,5387,5372,4714,4262,3538,3254,3323,3291,3533,3897,4715,4747,4570,3774,3338,3443,3295,3520,4060,4997,5435,5501,4832,4418,3691,3300,3299,4108,3846,5001,5383,5089,4573,3475,2860,2773,2587,2410,2161,2084,2117,2037,1861,1773,1593,1509,1381,1283,1308,1166,1005,1110,1025,958,867,848,798,738,627,693,646,620,538,502,487,464,435,472,327,376,296]
[34,198,173,120,121,147,241,248,207,278,381,435,550,663,830,985,1212,1714,3062,4932,6666,6692,5630,4286,3471,2564,2523,2696,2943,4026,5390,5309,4725,3729,3615,2600,2609,2847,3357,4448,5143,5423,4300,3655,3311,3038,3031,3165,3752,4621,5434,5280,4512,3910,3355,3078,3311,3506,3941,4898,5510,5264,4447,3694,3428,3346,3500,3677,4161,4960,5461,6138,4269,3671,3367,3412,3350,3562,4094,5129,5465,4885,4331,3726,3324,3235,3330,3445,3811,4508,4717,4508,3993,3526,3208,3288,3454,3793,4515,5470,5614,5060,4189,3707,3039,3188,3355,3629,4305,6033,4871,4329,3439,3018,2631,2530,2295,2228,2160,1932,1819,1861,1669,1497,1602,1394,1414,1275,1141,1090,1021,1055,978,911,850,734,695,669,644,550,614,545,478,491,504,407,525,414,330,375]
[106,90,110,205,115,133,248,275,313,325,394,475,618,749,860,1068,1340,1724,2456,3633,4850,5238,4517,3422,2705,2509,2354,2789,2867,3488,3802,4086,3554,2899,2678,2606,2698,3393,3278,4006,4499,4262,3811,3285,3028,3124,3239,3252,3571,4133,4789,4490,3921,3440,3388,3257,3419,3492,3923,4555,4848,4624,4137,3522,3509,3341,3616,3382,3870,4315,4892,4470,4139,3531,3911,3277,3555,3515,3851,4606,4586,4309,3745,3438,3178,3306,3348,3423,3646,3909,4061,3721,3375,3380,3176,3286,3347,3710,4240,4534,4597,4133,3737,3402,3150,3081,3165,3274,3847,4160,4262,3528,3627,2912,2666,2501,2220,2099,2118,2055,1883,1701,1602,1548,1365,1380,1253,1179,1211,1193,983,897,876,888,756,803,645,799,678,735,611,545,535,596,457,416,379,451,303,413]
[76,88,98,171,213,147,218,243,272,311,388,465,687,687,874,1014,1217,1412,1806,2436,3049,3281,3132,2594,2312,2402,2377,2599,2699,2793,2885,3136,2869,2708,2681,2604,2610,2787,2934,3171,4002,3529,3045,2895,2842,2909,3095,3178,3321,3573,3624,3575,3445,3169,3172,3099,3168,3445,3566,3936,3750,3775,3497,3231,3253,3457,3317,3348,3506,3676,4020,3760,3535,3453,3276,3268,3297,3995,3394,3804,3638,3576,3544,3399,3152,3218,3291,3275,3322,3482,3597,3414,3333,3062,3163,3293,3298,3413,3706,3899,3863,3703,3339,3306,2861,3029,2996,3178,3347,3444,3407,3112,2899,2797,2904,2394,2427,2204,2101,1815,1856,1760,1612,1550,1473,1343,1321,1260,1247,1111,979,980,927,886,764,838,788,745,581,617,642,606,522,582,382,424,480,387,347,314]
[88,88,96,98,168,151,139,201,282,319,345,466,653,690,949,1083,1102,1233,1493,1831,2234,2361,2303,2126,2209,2178,2333,2684,2514,2574,2767,2697,2573,2461,2364,2729,2535,2760,2922,3028,2954,3124,3056,3499,2831,2924,2881,2925,3379,3182,3459,3344,3119,3188,3144,3182,3215,3200,3174,3638,3429,3506,3449,3301,3087,3263,3290,3192,3415,3241,3437,3340,3277,3316,3059,3159,3235,3298,3368,3269,4056,3541,3434,3204,3190,2942,3188,2976,3238,3109,3173,3413,3041,3150,3096,3071,3041,3165,3322,3374,3305,3250,3065,3134,2897,2952,3073,2773,3109,2928,2966,2879,2851,2582,2463,2369,2275,2535,2023,1935,1757,1819,1691,1511,1525,1313,1241,1214,1189,1118,931,1017,885,862,830,756,696,749,690,659,593,567,554,467,496,355,359,339,301,372]
[70,86,176,117,180,214,286,269,345,411,439,434,652,722,848,968,1107,1214,1419,1745,1888,1964,2134,1893,1958,2219,2254,2510,2696,2519,2704,2534,2569,2476,2362,2398,2532,2729,2787,2914,2820,2856,2962,2704,2844,2752,3350,2817,3154,3232,3160,3158,3166,2921,2980,2893,2886,3092,3151,3232,3339,3281,3148,2978,2983,2918,3095,3231,3310,3295,3289,3319,3113,3249,3040,2968,3024,3131,3333,3462,3410,3425,3216,3870,2951,2925,2904,3150,3179,3224,3159,3219,3208,3237,2998,2836,3001,3127,3065,3157,3195,3033,3182,2879,2858,2826,2812,2852,2817,2763,2678,2820,2662,2572,2399,2285,2255,2096,1946,1869,2195,1748,1666,1444,1370,1372,1197,1113,1100,1065,1061,1003,929,830,766,751,655,642,687,629,634,608,464,443,486,401,405,355,348,300]
[80,94,86,187,168,153,230,259,313,323,425,553,758,746,855,935,1252,1307,1621,2039,1831,2094,1930,1828,1914,2112,2396,2497,2836,2846,2941,2690,2585,2644,2512,2460,2738,2766,2884,3010,2884,2907,2954,2763,2862,2718,2891,3101,3739,4205,3405,3179,3295,3067,3099,2874,2956,3084,3316,3314,3290,3243,3420,3081,3114,3150,3098,3203,3271,3182,3474,3322,3262,3305,2926,3008,2957,3277,3355,3267,3271,3426,3212,3178,3012,3080,3734,3236,3373,3344,3291,3105,3098,3113,3033,3133,3028,3085,3182,3024,3179,3068,3142,3064,2931,2777,2761,2890,2767,2747,2655,2919,2620,2514,2402,2277,2144,2114,1932,1873,1832,1777,1476,1865,1506,1397,1304,1186,1173,1096,1146,909,877,871,795,816,666,662,601,656,558,569,402,542,454,395,373,349,394,351]
[98,151,201,191,144,229,230,245,313,381,373,526,626,760,935,1024,1123,1471,1758,1990,2199,2118,2121,1955,1895,2098,2312,2572,2928,3216,3183,3405,2862,2832,2534,2675,2594,2902,3102,3284,3136,3184,2985,2819,2888,2853,2970,3126,3440,3540,3445,4145,3181,3020,3166,3033,3004,3191,3300,3575,3454,3541,3114,3130,3230,3214,3142,3270,3562,3531,3470,3546,3343,3076,3150,3219,3196,3244,3226,3570,3496,3595,3400,3183,3336,3106,3087,3376,3869,3352,3358,3144,3180,3258,3168,2994,3002,3034,3052,3125,3249,3285,2834,2973,3049,2763,2739,2879,2874,2807,2784,2526,2572,2417,2359,2194,2201,2178,1889,1973,1736,1632,1536,1580,1515,1298,1500,1224,1207,1087,1068,872,867,809,729,654,726,639,641,557,514,484,497,479,436,463,388,316,401,297]
[100,127,151,219,192,160,228,255,370,387,412,514,599,693,943,1146,1214,1784,1821,2318,2713,2643,2416,2097,2034,2095,2366,2768,3342,3859,4281,3876,3423,3029,3019,2733,2942,3013,3107,3601,3784,3667,3300,3041,2948,3123,2970,3096,3560,4049,3938,3818,3573,3344,3945,3244,3134,3330,3705,3929,4154,3729,3490,3202,3299,3091,3170,3433,3782,4035,4007,3774,3492,3570,3215,3289,3165,3452,3535,4007,3781,3804,3320,3264,3410,3102,3259,3193,3656,3697,3698,4024,3269,3218,3021,2925,2978,3263,3229,3414,3332,3276,3100,2896,2899,2748,2801,2806,3116,2968,2894,2897,2533,2471,2446,2202,2040,2082,2034,1949,1809,1795,1584,1550,1382,1313,1281,1255,1303,1058,989,883,946,904,845,780,729,678,583,549,511,462,456,383,469,456,431,365,408,324]
[86,116,212,219,172,202,241,305,305,377,420,422,600,705,1007,1105,1357,1677,2160,4101,4230,4027,3348,2492,2503,2391,2618,2997,3655,4988,5331,4867,4364,3832,3305,3136,3043,2962,3664,4497,4849,4148,3845,3422,3239,3103,3287,3398,3948,4742,4698,4626,3962,3910,3662,3437,3350,4166,3997,4579,4401,4135,3968,3612,3469,3239,3471,3512,4165,4700,4573,4408,3963,3637,3503,3239,3310,3549,4188,4656,4625,4234,4072,3653,3417,3358,3434,3414,4012,4487,4371,3939,3676,3354,3851,3163,3170,3235,3453,3671,3928,3472,3129,3087,2946,2834,2909,2986,3232,3715,3521,3246,2691,2534,2436,2234,2097,2138,2043,1935,1810,1626,1540,1452,1491,1279,1271,1238,1105,1033,924,1194,912,799,723,690,724,773,641,633,578,469,572,506,464,443,348,435,418,311]
[80,186,212,191,191,245,274,240,318,301,476,483,590,625,930,1220,1289,1531,2480,4190,5933,5635,5733,3405,2621,2459,2875,3220,4132,5688,6462,5879,5324,4592,3529,3153,3256,3492,3966,5293,5899,5500,4723,3769,3453,3116,3352,3682,4274,5700,5885,5375,4925,4212,3772,3620,3476,3628,4656,6516,5580,5104,4465,3877,3560,3499,3405,4055,4815,5725,5458,5140,4395,3773,3591,3406,3611,4039,4913,5739,5709,5146,4430,3804,3690,3486,3410,3772,4538,5262,5203,4816,3914,3431,3138,3199,3248,3996,3951,4428,4417,3720,3272,3030,2874,2861,3021,3166,3831,4248,4107,3480,2832,2354,2324,2224,2217,2069,2067,1949,1846,1690,1602,1449,1269,1329,1245,1173,1165,1027,1007,849,935,792,885,766,750,733,630,518,604,510,513,512,429,427,423,446,337,341]
[74,175,225,183,153,191,297,298,336,345,441,476,624,667,807,1076,1281,1473,2126,3877,5479,5826,4916,3539,2700,2925,2643,2957,3888,5225,6198,6109,5156,4258,3769,3098,3101,3366,3704,4595,5692,5493,4606,3817,3306,3193,3404,3630,4279,5449,6068,5669,4965,4208,3736,3520,3420,3720,4376,5121,5662,5410,5626,3929,3561,3302,3598,3843,4706,5590,5645,5480,4461,3791,3468,3452,3581,3840,4703,5610,5484,5425,4508,3791,3547,3317,3522,3553,4382,5011,5218,4486,3857,3487,3270,3062,3215,3114,3467,4218,5158,3780,3326,2922,2851,2863,3078,3032,3745,4320,4075,3429,2911,2604,2284,2374,2187,2140,1840,1907,1797,1795,1794,1569,1422,1420,1296,1136,1255,1102,1064,851,853,812,750,764,719,723,643,614,591,459,502,529,407,367,405,381,355,322]
[66,219,126,198,172,228,185,319,292,374,402,462,600,680,866,1029,1235,1440,1822,2680,3675,4428,3769,2893,2490,2328,2287,2764,3717,3940,4435,4831,4242,3593,3394,2890,2773,2870,3397,3902,4328,4242,3907,3408,3223,3174,3297,3387,3561,4342,4739,4788,4300,3658,3448,3334,3331,3529,3736,4224,4760,4627,4164,3650,3275,3830,3342,3551,4032,4586,5029,4689,4022,3432,3228,3255,3285,3645,4049,4542,4772,4735,3976,3493,3419,3197,3311,3519,3604,4266,4364,4130,3502,3348,3082,3155,3252,3272,3281,3546,3762,3274,3040,3539,2989,2725,3050,2950,3304,3366,3359,2937,2622,2541,2448,2254,2170,2109,1915,1971,1876,1637,1630,1513,1270,1317,1310,1122,1225,1001,978,988,847,846,810,804,741,659,711,656,666,520,541,428,494,451,410,301,381,339]
[80,126,201,112,243,253,241,266,278,365,372,499,595,635,907,1023,1151,1295,1555,1897,2198,2608,2435,2145,1992,1960,2220,2390,2582,2983,3601,4160,3272,2978,2615,2632,2719,2816,2982,3188,3399,3362,3288,2959,3015,2934,2900,3237,3466,3544,3814,3643,3480,3263,3239,3169,3227,3257,3436,3559,3930,3834,3616,3266,3216,3119,3083,3241,4117,3567,3738,3622,3406,3240,3104,2993,3037,3212,3594,3658,3868,3680,3486,3160,3085,3217,3150,3009,3239,3371,3438,3445,3306,3282,3103,2878,2955,3084,3186,3184,3145,2974,2968,3046,2733,2838,3303,2691,3008,2925,2895,2605,2669,2391,2348,2127,2082,2141,1971,1820,1714,1622,1531,1488,1421,1271,1244,1145,1106,1029,945,930,939,835,780,717,716,638,629,591,572,515,464,445,361,413,406,337,339,282]
[149,177,132,181,211,248,282,210,298,357,434,505,577,649,844,994,1177,1286,1414,1629,1971,2054,2133,1904,1902,2076,2200,2378,2583,2708,3001,2880,2726,2666,3195,2690,2812,2733,2914,3109,3187,3163,2939,2917,2914,2883,2977,3044,3305,3468,3592,3517,3376,3158,3240,2956,3121,3263,3363,3317,3526,3505,3437,3262,2968,2885,3124,3077,3263,3371,3383,4015,3323,3221,2966,2905,3126,3090,3257,3269,3516,3408,3284,3179,3033,2938,3037,3102,3229,3138,3383,3279,3223,3180,2845,3069,3011,3070,3026,3183,3174,3011,3128,3035,2809,2700,2664,2674,3211,2612,2717,2541,2492,2450,2306,2030,2104,2049,1985,1713,1778,1624,1485,1412,1427,1217,1261,1129,1054,991,1077,976,878,815,778,738,665,667,538,534,588,490,542,468,417,335,386,346,285,296]
[84,148,138,142,203,184,209,244,303,466,429,451,522,720,907,1016,1024,1249,1451,1605,1668,1911,1940,1906,1872,2047,2166,2367,2553,2509,2699,2725,2649,2361,2495,2488,2377,3199,2894,2893,2870,2896,2957,2855,2773,2730,2829,3002,3197,3398,3217,3193,3109,3109,2983,2966,2900,2963,3179,3221,3314,3566,3187,2930,3093,2940,3081,2966,3194,3305,2967,3302,3139,3113,3581,3071,2893,3184,3282,3295,3216,3216,3253,3069,2919,3033,2985,2917,3211,3105,3313,3145,3084,3184,2885,2861,3022,3115,2891,2993,3017,2970,3100,3045,2985,2677,2683,2612,2641,2698,2843,3038,2617,2412,2152,2071,2102,2143,2057,1836,1724,1546,1570,1427,1246,1396,1222,1029,1133,1059,996,825,964,752,799,764,684,628,583,521,577,499,473,440,414,323,349,349,278,385]
[92,206,238,233,183,292,222,281,361,295,388,470,549,683,873,1021,1106,1182,1499,1642,1942,1953,1806,1755,1782,2047,2011,2363,2572,2455,2539,2676,2331,2453,2445,2352,2581,2656,2838,3026,3496,2883,2797,2694,2745,2745,2783,2912,3129,3304,3360,3077,2999,3133,2933,3008,2822,3056,3149,3376,3222,3227,3064,2905,2904,2854,2841,3001,3139,3057,2945,3077,3023,3000,2677,2768,2960,3636,3269,3130,3212,3247,2917,2948,2793,2817,2894,3225,3184,3250,3272,3047,3181,3004,2903,2960,2836,3056,3023,3197,2943,3081,3098,2811,2810,2688,2777,2722,2804,2671,2460,2464,2274,2181,2570,1996,2019,2046,1866,1774,1780,1586,1520,1350,1278,1251,1274,1116,1070,915,876,912,773,736,672,602,645,586,542,496,541,541,385,395,428,395,305,340,287,369]
[86,100,76,175,244,260,267,232,275,380,407,486,564,658,935,991,1079,1429,1683,1901,2098,2280,1996,1826,1877,2006,2319,2435,2693,2799,2784,2665,2591,2419,2297,2535,2575,2746,3021,3143,3101,3043,3247,2727,2711,2911,2934,3089,3323,3413,3278,3427,3049,3071,2846,2909,3000,3064,3392,3461,3457,3475,3159,2907,2965,2885,2898,2836,3082,3011,3143,3053,2974,2962,2815,2951,3070,3158,3255,3315,3864,3274,3218,2962,3020,2950,2977,3016,3313,3238,3146,3106,3035,3190,3028,2904,2906,3077,3099,3199,3383,3191,2838,2931,2837,2523,2618,2769,2850,2708,2610,2489,2396,2318,2414,2057,2117,2436,1922,1868,1685,1483,1459,1355,1334,1239,1192,1167,1088,956,908,846,791,819,612,650,574,541,584,494,462,481,420,449,410,411,339,345,333,234]
[100,155,98,196,153,225,265,247,313,377,364,412,592,716,821,998,1161,1473,1797,2280,2658,2568,2429,1999,1957,1900,2092,2361,2458,3052,3381,3143,2761,2624,2551,2681,2615,2796,2896,3301,3557,3238,2968,2760,2810,3328,2987,3018,3082,3590,3634,3637,3325,2998,2917,2926,3103,3264,3657,3731,3797,3583,3383,3098,3031,2939,3055,3067,3143,3328,3492,3324,2911,2872,2924,2931,3083,3260,3556,3618,3659,3399,3320,3827,3129,2862,2991,3304,3511,3686,3653,3546,3294,3102,2947,2834,3044,2931,3113,3354,3351,3182,3130,2908,2703,2825,2693,2734,2795,2800,2792,2615,2397,2444,2280,2116,1880,2026,1986,1747,2132,1557,1429,1296,1200,1113,1118,1076,959,910,902,871,748,688,626,709,682,601,557,494,551,488,398,412,486,413,311,288,292,313]
[56,110,100,164,248,255,246,309,256,314,411,535,548,626,798,1036,1286,1799,2158,3625,4434,4297,3589,2674,2234,2365,2188,2599,3095,3831,4343,4042,3656,3148,2711,2633,2699,2829,3171,4109,4421,3947,3588,3115,2951,2921,3009,3135,4277,4405,4371,4230,3858,3396,3144,3016,3164,3239,4066,4508,4574,4461,3850,3428,3120,3067,3000,2953,3387,3905,3946,3650,3370,2998,2875,2849,2945,3223,3955,4344,4331,3917,3607,3226,3228,2890,3660,3467,4128,4304,4374,4137,3557,3160,3017,2961,3066,3046,3822,4196,3995,3976,3548,2944,2838,2707,2737,2733,3207,3634,3578,3130,2669,2525,2310,2236,1993,1980,1923,1718,1624,1513,1458,1635,1366,1207,1059,1027,1051,919,947,769,713,700,603,718,585,549,589,493,438,472,404,370,347,379,365,344,297,238]
[86,178,130,147,149,272,238,224,327,300,334,458,519,634,1084,1042,1303,1818,2924,4914,6128,6180,5044,3682,2810,2440,2394,2654,3349,4760,5520,5360,4587,3463,2893,2741,2727,2906,3578,4957,5193,4663,4298,3672,2992,2815,2922,3337,4194,5179,5658,6218,4508,3592,3218,3145,3112,3402,4549,5524,5650,5441,4403,3674,3245,3137,3025,3235,3853,4727,4502,4307,3573,3271,3009,2918,3284,3483,4624,5248,5224,4754,4052,3511,3214,2965,3185,3648,5575,5348,5115,4706,3711,3254,2934,3025,3161,3305,4134,4863,5071,4407,3549,3064,2843,2787,2830,3109,3954,4292,4261,3730,2740,2590,2200,2225,2229,1856,2013,1768,1599,1557,1550,1323,1170,1203,1330,1069,889,904,863,833,745,783,637,645,653,571,526,525,416,443,458,409,360,405,348,332,295,312]
[98,82,94,191,230,176,269,307,319,242,494,452,614,767,856,1022,1232,1873,2726,4676,6155,6018,5203,3627,2892,2353,2409,2817,3210,4715,5728,5890,4733,3708,3115,2657,2917,3082,3630,4776,5044,5057,3989,3485,3222,2931,3133,3236,3891,4689,5551,5163,4420,3656,3808,3125,3257,3635,4581,5088,5636,5213,4346,3569,3149,3140,3349,3198,3770,4497,4573,4190,3550,3065,2856,3042,3238,3568,4307,5032,5192,4775,3806,3421,3141,2970,3236,3512,4339,5046,5543,5511,3892,3208,3008,2933,3093,3495,4057,5003,4749,4068,3326,3019,2976,3072,2937,3162,3675,4140,3921,3261,2794,2428,2193,2185,2097,2027,1940,1824,1809,1536,1500,1387,1262,1072,1032,1105,1009,1148,923,832,750,724,694,678,673,564,588,587,471,510,429,395,365,323,404,326,324,297]
[90,193,147,249,176,180,207,231,319,359,405,478,580,725,862,964,1159,1379,1859,2618,4741,4629,3686,3191,2696,2357,2410,2456,2776,3371,4155,4607,3867,3214,2752,2683,2766,2863,3084,3891,4005,3718,3502,3146,2939,2777,2807,3006,3558,3888,4288,4309,3676,3420,2905,3073,3126,3800,3632,4389,4575,4516,3704,3176,3091,3125,3045,3151,3247,3784,3586,3673,3237,2898,2933,2914,3187,3271,3522,4096,4253,3946,3648,3118,2886,2929,3005,3254,3480,4088,4397,4032,3394,2980,3303,3612,2961,3267,3579,4094,3812,3468,3082,2866,2912,2938,2984,3040,3088,3376,3128,2827,2501,2346,2252,2297,2146,2024,1978,1714,1669,1667,1397,1311,1256,1107,976,1062,1109,965,900,972,728,700,583,589,602,567,524,534,480,458,430,422,293,355,366,300,319,343]
[80,98,198,125,150,266,253,245,320,361,383,447,567,654,766,979,1053,1325,1477,1934,2392,2590,3111,2337,2212,2065,2141,2436,2447,2860,3052,3070,2994,2607,2593,2642,2552,2711,2990,3146,3152,3090,2978,2916,2789,2753,2674,2976,2975,3327,3481,3496,3197,2991,2814,2854,2865,3111,3264,3813,4446,3583,3406,2981,2843,2961,2864,3020,2984,3034,3196,3038,2957,2962,2721,2894,2897,2871,3050,3433,3422,3297,3054,3075,2839,2798,2913,3048,3178,3527,3456,3213,3180,3081,2873,2710,2837,3485,3144,3130,3395,3209,2860,2687,2786,2723,2613,2724,2893,2840,2849,2626,2611,2389,2221,2276,2157,1967,1954,1794,1593,1670,1441,1348,1195,1129,1097,949,982,925,877,777,796,707,865,646,600,588,522,603,451,451,411,411,326,379,327,356,232,262]
[62,138,211,177,235,219,220,220,334,318,334,487,494,562,809,1016,1063,1254,1361,1690,1981,2137,2208,1949,1970,2368,2177,2285,2433,2376,2587,2597,2631,2336,2402,2470,2765,2617,2897,2864,2842,2875,2728,2725,2552,2647,2622,2789,2845,2852,2975,2962,2804,2909,2817,2700,2824,2933,3090,3215,3272,3209,3589,2871,2904,2749,2854,2840,2937,2882,3045,2972,2854,2880,2726,2652,2910,2916,2896,3084,3047,3106,3120,3083,2798,2548,2692,2776,2960,2877,3113,3049,2980,2875,2749,2821,2754,2733,2948,2982,3577,2858,2796,2809,2639,2728,2657,2775,2762,2837,2830,2519,2397,2205,2228,2173,2127,2089,1840,1777,1676,1496,1391,1291,1324,1136,1084,1048,918,987,845,789,776,755,726,577,601,704,565,565,505,399,354,382,398,360,234,265,245,307]
[78,144,165,184,219,179,218,259,316,393,404,468,565,728,835,952,1057,1251,1343,1585,1739,1815,1821,1978,2027,1961,2210,2378,2939,2573,2548,2499,2417,2343,2251,2328,2362,2458,2669,2831,2844,2685,2613,2550,2498,2441,2563,2467,2619,2834,2746,2756,2745,2631,2712,2416,2539,2808,2835,2924,2965,3055,3007,2750,2748,3161,2658,2743,2886,2825,2804,2840,2834,2821,2688,2777,2721,2707,2885,2861,2929,2993,2826,2931,2800,2504,2742,2708,2864,2968,2876,2973,2762,2758,2730,2562,2680,2674,2882,2787,2991,2826,2764,3203,2544,2582,2538,2616,2814,2759,2819,2605,2397,2346,2190,2162,2060,2046,1947,1684,1654,1531,1373,1457,1174,1214,1186,1098,828,899,896,752,790,672,602,567,531,503,460,536,567,395,370,351,330,329,273,292,269,234]
[74,82,201,203,220,210,249,333,272,336,440,525,578,695,857,912,1063,1206,1352,1692,1699,1791,1837,1645,1778,1904,2120,2224,2367,2446,2558,3069,2451,2234,2139,2183,2174,2337,2517,2675,2703,2599,2513,2372,2291,2257,2350,2292,2526,2699,2625,2562,2514,2413,2407,2593,2571,2738,2891,2927,2916,2847,2768,2719,2588,2480,2784,2567,3387,2747,2769,2902,2666,2547,2438,2536,2625,2548,2855,2802,2750,2814,2686,2648,2495,2504,2404,2613,2659,2782,2738,2744,2727,2550,2567,2587,2650,2655,2687,2807,2998,2803,2775,2631,2565,2934,2584,2715,2767,2769,2740,2536,2336,2328,2123,2098,1868,1891,1746,1745,1597,1382,1383,1251,1225,1168,1111,942,916,812,757,773,668,661,620,583,574,551,546,428,438,473,390,415,356,246,338,261,218,262]
[80,170,206,115,234,239,258,228,309,377,355,416,509,774,864,928,1015,1276,1527,1760,2041,1992,2000,1782,1773,1801,1940,2200,2439,2663,2629,2542,2492,2339,2600,2315,2583,2161,2546,2652,2853,2661,2464,2290,2315,2296,2326,2395,2372,2524,2695,2529,2486,2395,2332,2240,2416,2503,2797,2722,2892,2772,2932,2504,2525,2473,2623,2515,2795,2750,2906,3492,2683,2515,2545,2566,2593,2584,2699,2697,2853,2930,2652,2485,2569,2405,2543,2766,2634,2792,2786,2904,2604,2656,2449,2676,2600,2389,2702,2724,2875,2650,2695,2639,2473,2360,2530,2572,3344,2657,2722,2732,2601,2355,2187,2067,1846,1888,1646,1578,1561,1404,1221,1283,1169,1064,967,991,832,929,868,744,778,620,603,603,572,468,556,439,378,407,327,416,319,306,378,269,249,283]
[82,171,159,212,229,202,141,237,279,304,431,489,544,767,804,1086,1174,1497,1844,2231,2317,2666,2329,1886,1897,1841,2037,2364,2473,2946,3143,3093,2733,2561,2388,2330,2413,2907,2665,2869,3092,2813,2591,2522,2454,2448,2385,2267,2546,2606,2648,2539,2499,2302,2430,2314,2315,2610,2957,3061,3436,3005,2871,2537,2410,2489,2540,2666,2820,3088,3223,3053,2977,2691,3011,2407,2533,2687,3093,3077,3143,3112,2845,2687,2834,2610,2478,2772,2758,3110,3135,2941,2872,2651,2589,2550,2523,2833,2873,3298,3173,2993,2824,2695,2550,2504,2570,2730,3154,3294,3300,3534,2752,2697,2284,2086,1921,1813,1839,1609,1550,1482,1375,1243,1106,1131,1059,944,890,889,715,772,711,650,603,645,566,512,393,494,399,391,416,368,360,342,281,299,336,289]
[68,193,175,216,235,210,235,279,337,372,459,533,633,705,854,982,1357,1736,2301,3446,4259,3945,3396,2488,2280,2077,2230,2490,3010,4039,4230,4061,3491,2897,2669,2555,2495,2526,2872,3580,4472,3385,3149,2764,2467,2440,2277,2292,2696,3066,3098,2914,2649,2547,2361,2558,2595,2949,3525,3984,3960,3625,3161,2941,2733,2642,2680,2935,3580,4086,4074,3679,3326,3035,2655,2687,2798,3480,3615,4274,4140,3794,3277,2962,2761,2657,2611,3039,3566,4324,3824,3595,3063,2721,2731,2689,2849,2993,3570,4017,3952,3522,2883,2609,2628,2472,3010,3172,4036,4468,4197,3838,3148,2744,2837,2189,1887,1798,1893,1654,1549,1447,1331,1157,1122,1094,1042,961,992,870,748,640,668,550,599,534,527,452,474,417,350,465,345,347,298,340,357,264,249,295]
[167,90,132,210,150,278,281,236,305,337,420,498,604,674,928,992,1463,1801,3139,5084,5549,5516,4561,3108,2491,2205,2289,2725,3396,4671,5793,5178,4441,3544,2944,2559,2566,2754,3264,4505,4965,4671,4518,2833,2631,2274,2375,2423,2875,3607,3989,3407,2807,2683,2348,2596,2640,2874,3810,4574,4489,4203,3536,3051,2682,2807,2828,3224,4035,4994,4724,4397,3546,3063,2902,2725,2871,3340,4122,4918,5859,4352,3220,3146,2696,2653,2972,3283,4307,4870,4824,4076,3370,2994,2636,2668,2839,3227,4159,5062,4905,4307,3236,2876,2583,2717,3042,3622,5170,5861,5251,4486,3423,2666,2454,2151,2080,2174,1673,1473,1402,1352,1379,1249,1068,976,1048,1051,885,797,747,677,713,674,641,551,584,517,412,471,432,354,360,316,339,377,298,329,225,185]
[60,88,140,100,177,229,194,263,394,356,398,500,528,674,855,962,1245,1577,2590,4170,5463,5358,4527,3049,2607,2285,2290,2512,3231,4444,5174,5373,3947,3594,2795,2543,2640,2668,3184,4036,4473,4400,3547,2936,2523,2729,2387,2495,2810,3434,3413,3280,2827,2584,2325,2365,2681,2834,3471,4432,4707,4228,3471,2782,2701,2625,2866,2966,3906,4562,4762,4378,3456,2854,2717,2605,2735,3025,3705,4399,4699,4472,3390,3445,2500,2638,2809,3087,4176,4543,4417,3845,3068,2669,2584,2499,2829,3215,3994,4596,4395,3762,3005,2810,2506,2630,2925,3399,4657,5467,5065,4283,3214,2629,2376,2050,2088,1967,1759,1575,1745,1374,1282,1237,1127,921,853,774,887,826,732,719,585,575,612,562,479,425,534,411,383,358,325,346,326,233,232,255,293,273]
[74,178,130,195,218,259,215,285,334,333,407,626,570,763,841,1009,1207,1370,1790,2505,3430,3742,3384,2718,2301,2072,2138,2242,2577,3259,3862,3916,3429,3063,2596,2476,2389,2595,2720,3127,3547,3430,2921,2646,2375,2411,2200,2599,3089,2575,2849,2682,2555,2281,2277,2303,2456,2667,2932,3596,3529,3367,3105,2763,2595,2560,2634,2787,3077,3486,3749,3529,2996,2614,2638,2705,2592,2713,2936,3384,3635,3512,3112,2666,2581,3059,2675,2748,3083,3430,3757,3418,2840,2721,2535,2525,2622,2673,2994,3536,3475,3147,2769,2615,2567,2621,2826,3040,3508,3979,4146,3333,2734,2457,2261,2213,2084,1939,1827,1531,1531,1308,1187,1397,1100,956,913,911,811,678,732,669,595,649,547,559,455,543,391,442,422,295,334,243,286,263,302,294,234,180]
[98,98,90,143,168,165,243,237,312,271,440,501,567,719,1022,1009,1162,1273,1701,2074,2338,2639,2262,2192,1894,1986,1999,2120,2423,2721,2886,3076,2816,2496,2204,2212,2237,2311,2386,2450,2743,2559,2579,2390,2200,2216,2181,2226,2270,2348,2434,3076,2436,2298,2227,2384,2425,2525,2807,2927,2855,2838,2648,2612,2457,2401,2461,2719,2745,2882,3085,2914,2668,2490,2474,2412,2561,2747,2885,3153,2867,2766,2526,2551,2499,2359,2489,2639,3308,2921,2767,2842,2754,2402,2517,2420,2514,2667,2703,2863,2885,2655,2663,2487,2530,2555,2528,2714,3001,2975,3318,2752,2566,2260,2317,2030,1934,1761,1711,1630,1527,1215,1274,1218,978,978,1158,854,781,812,626,738,606,583,615,560,539,478,449,428,327,333,283,338,268,270,286,246,186,176]
[82,96,202,209,229,206,224,248,235,340,424,389,541,715,783,983,1238,1455,1550,1684,1992,2153,2000,1825,1832,2082,1972,2209,2193,2416,2546,2574,2336,2194,2082,2222,2075,2229,2393,2460,2366,2295,2350,2315,2090,2137,2147,2229,2389,2447,2306,2137,2296,2245,2629,2279,2420,2320,2513,2574,2605,2532,2436,2604,2452,2354,2353,2490,2510,2624,2709,2620,2557,2575,2407,2500,2430,2556,2728,2529,2603,2787,2574,2410,2294,2473,2363,2569,2488,2547,2556,3059,2584,2579,2452,2429,2444,2658,2625,2774,2733,2598,2404,2598,2343,2412,2460,2732,2693,2611,2724,2515,2375,2308,2120,1885,1887,1657,1573,1453,1392,1351,1244,1119,1048,941,881,789,891,795,699,672,589,556,508,467,477,428,334,325,366,303,277,339,303,212,224,243,172,158]
[72,123,202,98,247,203,226,221,287,329,293,488,562,642,862,873,1047,1239,1345,1803,1759,1702,1982,1839,1839,1746,2015,2001,2310,2410,2267,2263,2066,2127,1943,2140,1987,2155,2132,2233,2212,2232,2189,2032,2054,1969,2029,2147,2112,2242,2122,2171,2299,2188,2163,2134,2083,2616,2522,2379,2375,2301,2403,2351,2322,2317,2263,2365,2592,2426,2385,2551,2419,2314,2199,2424,2280,2524,2465,2454,2584,2575,2490,2526,2422,2221,2335,2300,2490,2445,2427,2395,2466,2443,2531,2171,2348,2369,2525,2473,2555,2477,2421,2511,2336,2313,2390,2543,2512,2511,2447,2367,2319,2080,1962,2073,1914,1805,1664,1481,1376,1247,1215,1088,974,971,900,734,713,743,726,726,544,569,494,445,398,443,326,415,360,216,349,217,279,274,257,179,187,190]
[86,80,161,176,218,217,196,284,336,286,402,360,505,556,767,831,1036,1223,1353,1570,1823,1808,2151,1630,1627,1694,1828,1964,2125,2322,2441,2310,2123,1898,1839,1858,1916,1970,2110,2109,2156,2186,2019,1849,2050,1846,2011,1874,2191,2007,2187,1984,2043,2058,1959,1866,2044,1959,2166,2838,2212,2106,2117,2147,2073,2106,1970,2115,2168,2331,2425,2284,2130,2202,2181,1943,2313,2376,2379,2411,2566,2494,2336,2170,2202,2190,2245,2250,2294,2216,2481,2274,2257,2249,2040,2199,2192,2704,2351,2395,2476,2426,2425,2278,2207,2115,2266,2313,2427,2396,2447,2266,2153,1998,1979,1935,1907,1696,1498,1424,1378,1199,1150,1161,963,966,792,786,729,692,728,633,543,587,618,427,382,416,423,392,330,307,340,287,207,220,174,160,160,149]
[84,78,191,175,150,194,199,274,224,312,357,409,522,718,838,978,1066,1288,1591,1801,1976,2079,1923,1654,1615,1992,1900,2111,2249,2274,2539,2293,2193,1903,1808,1985,1982,2047,2311,2333,2248,2242,1969,1922,1847,1885,1874,2027,2226,2195,2306,2132,1927,1923,1946,1888,1917,2102,2000,2130,2271,2236,2530,1962,1958,1796,2121,2145,2172,2280,2458,2196,2141,2080,2053,2035,2156,2216,2523,2435,2558,2576,2465,2238,2267,2097,2095,2345,2383,2480,2412,2369,2224,2147,2154,2048,2066,2317,2304,2343,2890,2429,2297,2065,2077,2052,2084,2227,2322,2539,2450,2295,2110,1957,1991,1860,1819,1668,1376,1318,1259,1137,1030,1012,892,852,770,754,686,640,616,669,599,512,481,366,397,457,346,290,285,315,226,225,205,205,166,206,183,100]
[171,156,223,152,214,241,294,353,268,425,442,539,729,899,1145,1343,1622,1975,2544,3117,2820,2347,2069,1811,1822,1923,2468,2456,2857,3104,2706,2333,1990,1990,1924,1883,2092,2336,2788,3010,2561,2314,2146,1909,2003,1897,2111,2312,2632,2647,2458,2227,2014,1980,1907,1940,2122,2179,2537,2708,2401,2280,2078,2378,2004,2077,2188,2492,2720,2906,2381,2190,2100,2028,2141,2118,2563,2844,3149,3059,2678,2715,2248,2194,2008,2169,2274,2540,2696,2784,2525,2343,2121,2037,2187,2080,2365,2594,2941,2655,2612,2471,2167,1972,1999,2165,2474,2662,2919,2753,2394,2149,2080,1822,1633,1485,1590,1404,1337,1199,995,1034,892,823,846,767,698,557,672,560,529,549,498,418,391,420,327,331,341,237,298,261,275,216,205,228,196,151,92,100]
[78,158,180,173,137,147,276,254,277,273,371,358,512,612,745,929,1443,1667,2620,3821,4606,4848,3810,2714,2337,2042,1889,2264,2764,4434,4036,3842,3279,2658,2123,1912,2024,2393,2523,3592,3717,3608,2935,2391,2237,1803,2002,2059,2598,3489,3674,3486,3080,2180,2169,2005,1882,1984,2472,3182,3440,3257,2725,2103,2170,2024,2373,2232,2693,3453,3464,3080,2558,2269,2024,2072,2435,2575,3284,3853,4373,3821,3111,2622,2299,2094,2245,2290,3099,3604,3755,3368,2767,2472,2107,2017,2204,2418,2755,3804,3746,3560,2721,2331,2420,2079,2288,2537,3007,3757,3641,3202,2319,2115,1909,1721,1526,1453,1376,1201,1105,1113,914,828,903,728,692,636,663,524,475,474,527,442,421,431,366,296,348,295,283,305,289,212,187,205,223,179,136,129]
[76,86,80,157,175,221,289,248,243,327,362,390,486,608,759,1146,1212,1848,2895,4764,6355,6220,5062,3887,2881,2286,2230,2468,3020,4584,5366,5026,4901,2901,2255,1986,1986,2271,2871,4242,4346,4269,3545,2558,2255,1796,1947,2140,2842,3795,4363,3996,3368,2527,2037,1905,1957,2129,2644,3862,4297,4191,3109,2507,2087,1899,2085,2396,2794,4884,4092,3678,2869,2317,2292,1981,2297,2684,3635,4903,5049,4213,3436,2839,2197,2043,2222,2494,3347,4244,4415,3924,2908,2586,2112,2070,2250,2547,3575,4489,4467,3899,2898,2273,2180,2134,2934,2691,3990,4930,4310,3335,2452,2169,1940,1749,1521,1346,1227,1212,1018,963,919,818,852,753,789,733,691,521,512,489,457,380,410,345,324,318,324,320,241,222,216,189,272,207,141,122,141,168]
[90,82,80,204,155,188,281,211,220,319,364,400,417,547,732,949,1104,1548,2145,3796,5197,5718,4896,3517,2888,2307,2052,2196,2217,3661,4474,4880,4016,2932,2374,2267,1989,2081,2437,3151,3740,3909,3217,2563,2078,1792,1899,2020,2401,3094,3620,3600,3074,2444,2038,1893,1896,1982,2368,3034,3750,3549,2902,2338,2029,1899,1910,2131,2608,3075,3719,3543,3462,2147,2018,1888,2104,2666,3124,4053,4381,4130,3114,2494,2252,1905,2211,2344,2769,3519,3706,3581,2621,2207,2059,2011,2016,2334,2893,4024,3957,3831,2766,2146,1996,1933,2220,2629,2981,4942,3928,2986,2214,2001,1637,1657,1445,1375,1359,1106,898,1050,867,820,788,797,681,611,596,563,558,441,410,367,375,328,339,285,277,313,262,267,224,217,230,215,94,172,121,78]
[82,100,100,96,139,225,203,169,224,295,333,459,466,614,720,913,1164,1384,1839,2731,3519,3968,3496,2748,2338,2066,2079,1944,2402,2645,3207,3146,2779,2275,2039,1877,1877,1959,2487,2472,2921,2708,2442,2120,1913,1806,1724,1883,2081,2275,2690,2622,2345,2067,1787,1689,1824,1845,1955,2467,2564,2574,2294,2046,1885,1828,1914,2118,2265,2499,2490,2678,2186,1996,1874,2259,2082,2308,2490,2993,3062,2833,2321,2085,2034,1841,1939,2000,2313,2609,2652,2426,2148,1899,1870,1873,2025,2187,2338,2839,2823,2685,2258,1969,1988,2045,1929,2280,2465,2659,2984,2556,2353,1778,1643,1634,1428,1283,1223,1080,925,910,839,653,710,608,603,538,492,434,469,433,406,400,392,296,346,340,249,295,221,247,247,190,200,138,76,194,139,108]
[78,195,98,86,139,141,254,204,284,309,332,407,475,604,792,874,1044,1174,1639,2050,2509,2580,2480,2147,2045,1827,1893,1969,2169,2354,2645,2511,2181,2014,1839,1851,1742,1896,1890,2090,2703,2177,2065,1989,1658,1689,1661,1859,1896,2071,2135,2057,1854,1840,1610,1720,1834,1902,1892,2103,2153,2112,2006,1913,1836,1780,1835,1857,2086,2038,2073,2151,1982,1889,1772,1752,1869,1951,2620,2582,2321,2277,2169,2016,1846,1879,1689,1934,2062,2299,2016,2070,1866,1887,1831,1801,1927,1932,2259,2326,2384,2236,2032,2119,1903,2041,1990,1910,2324,2289,2407,2049,1875,1837,1713,1875,1331,1299,1239,1176,1000,919,844,662,645,641,555,613,529,435,439,446,435,366,314,320,364,279,266,299,272,178,241,205,236,100,148,90,96,80]
[62,96,98,169,157,194,233,198,284,342,346,447,452,641,678,925,1030,1203,1303,1729,1857,1956,2035,1849,1707,1826,1885,2004,2078,2154,2168,2289,2175,1935,1658,1738,1736,1900,1807,1908,1818,1904,1814,2036,1565,1512,1565,1544,1752,1927,1996,1960,1921,1833,1604,1557,1558,1804,1754,1897,1957,1924,1918,1678,1865,1698,1659,1801,1839,2113,1844,1895,1874,1744,1805,1723,1759,1900,2003,2068,2090,2361,2004,1784,1865,1700,1839,1765,1926,1933,2090,2010,1989,1756,1825,1762,1760,1794,2039,2187,2177,2153,1949,2047,1864,1938,1820,1849,2053,2249,2125,1860,1809,1712,1630,1672,1281,1271,1473,971,937,803,759,666,676,561,507,505,524,563,424,431,370,410,348,340,250,334,262,197,266,136,187,242,100,86,82,76,72,56]
[62,88,184,174,168,183,160,168,217,310,330,294,464,592,708,820,999,1104,1374,1486,1776,1604,1658,1696,1650,1764,1873,1904,1998,2039,2058,2081,1913,1766,1797,1489,1478,1530,1541,1648,1696,1606,1611,1597,1395,1314,1580,1453,1634,1614,1557,1644,1658,1488,1590,1494,1452,1633,1581,1780,1887,1883,1755,1641,1662,1607,1541,1611,1736,1743,1717,1801,1715,1559,1567,1457,1618,1715,1899,1736,1728,1770,1749,1653,1803,1454,1533,1572,1812,1791,1830,1886,1757,1712,1561,1606,1564,1765,1946,2065,2064,2134,2019,2026,1916,1828,1811,1820,1865,1960,2078,1882,1729,1638,1479,1588,1343,1284,1153,1000,944,1040,849,671,663,585,541,518,492,439,383,405,357,344,270,313,334,300,235,244,252,220,195,195,196,164,80,100,90,82]
[94,60,88,78,141,144,229,151,279,262,283,316,589,537,723,784,855,1100,1450,1672,1643,1694,1652,1629,1515,1643,1863,1859,2133,2390,2386,2196,2014,1641,1649,1579,1437,1543,1582,1393,1541,1424,1359,1284,1289,1262,1291,1384,1410,1796,1492,1395,1438,1465,1329,1310,1470,1484,1718,1652,1646,1563,1496,1516,1530,1343,1473,1471,1453,1713,1664,1784,1601,1515,1452,1486,1541,1462,1668,1654,1725,1691,1697,1528,1407,1411,1785,1563,1778,1807,1776,1770,1719,1498,1551,1500,1475,1818,2069,2252,2367,2234,2103,1875,1720,1715,1744,1855,1927,1859,2045,1746,1703,1571,1380,1376,1263,1190,1143,1064,826,780,695,672,602,540,494,440,402,443,386,317,359,270,279,245,288,253,233,194,221,238,206,242,88,80,78,159,72,68]
[76,72,86,179,177,166,137,220,236,295,295,347,327,495,668,967,967,1360,1707,1986,2063,2190,1770,1611,1375,1553,1882,2165,2380,2718,2817,2658,2230,1995,1696,1568,1563,1552,1586,1588,1663,1683,1286,1286,1203,1402,1329,1470,1488,1620,1661,1477,1661,1317,1170,1292,1363,1416,1592,1844,1747,1738,1485,1311,1302,1375,1327,1579,1595,1697,1679,1666,1497,1308,1234,1338,1379,1504,1638,1729,1798,1668,1381,1322,1390,1469,1499,1621,1788,2238,2089,1960,1749,1615,1465,1608,1667,2101,2332,2516,2646,2859,2335,2022,1844,1843,1612,1948,1949,2098,2291,2041,1703,1670,1432,1338,1195,1061,1055,934,811,762,690,616,584,483,447,537,491,398,337,337,317,297,279,235,261,218,232,213,149,157,149,84,187,90,98,84,92,56]
[68,74,74,96,177,181,206,166,248,197,263,336,303,459,588,671,1017,1553,2360,2712,3455,3014,2833,1990,1869,1734,1903,2352,2959,3625,4174,3540,3122,2584,1985,1723,1542,1597,1528,1817,1911,1798,1577,1368,1284,1181,1249,1372,1672,1922,1929,1976,1634,1352,1326,1498,1264,1515,1763,2113,2340,2080,1676,1488,1421,1269,1208,1490,1666,1983,2041,1917,1633,1440,1301,1317,1334,1542,1595,1887,1970,1777,1640,1459,1379,1372,1561,1666,2031,2463,2745,2412,2591,1816,1587,1771,1812,2449,2972,3708,3668,3433,3009,2453,1918,1738,1725,2182,2396,2732,2881,2579,2026,1727,1429,1182,1152,982,936,834,828,689,568,539,504,429,442,338,370,326,387,276,288,285,272,158,226,179,178,155,125,149,181,145,80,92,66,86,76,52]
[58,92,86,64,94,188,151,100,164,248,332,355,309,459,520,645,1102,1536,2322,3820,4692,5274,3682,3077,2436,2053,2118,2655,3635,4936,5526,4966,4018,3022,2382,1644,1557,1620,1821,2521,2831,2639,2092,1452,1298,1224,1191,1452,1963,2669,3181,3053,2392,1817,1474,1286,1237,1545,2785,3443,3449,3421,2662,1916,1528,1219,1422,1581,2040,2970,2946,3031,2089,1635,1373,1261,1323,1551,1850,2787,2776,2541,1836,1568,1353,1256,1513,2008,2598,3705,3932,3519,2581,2173,1755,2010,2141,3018,4404,5669,5290,4378,3666,2864,2172,1816,1990,2365,3677,4659,4338,3817,2741,2025,1478,1036,942,849,906,692,630,628,559,528,417,513,428,355,330,369,276,322,324,238,181,168,271,174,159,143,94,139,122,76,70,80,70,62,70,50]
[84,72,78,86,149,86,179,158,222,195,262,256,359,487,474,641,1098,1545,2607,4769,6084,6068,5244,3870,3362,1989,2123,2600,3750,5947,6712,6255,4694,3490,2517,1792,1583,1584,1956,2780,3353,3303,2330,1616,1182,1118,1000,1416,2086,3332,3727,3348,2891,1842,1492,1146,1220,1454,2198,3873,4181,4730,2848,1889,1455,1097,1261,1483,2097,3120,3559,3314,2453,1782,1189,1058,1206,1378,1911,3025,3562,2975,2202,1577,1212,1254,1558,1876,3019,4872,5068,4367,2884,2065,1727,1575,2219,2935,5992,6730,6217,5222,3836,2648,1971,1846,2180,2914,4488,5836,5341,4611,2814,1812,1338,922,884,876,783,656,600,487,500,415,387,346,356,337,364,246,281,228,225,245,241,189,146,146,160,135,200,56,74,66,62,56,50,58,62,48]
[50,76,64,92,76,94,199,212,196,207,161,345,276,382,474,605,841,1218,2225,3463,5110,5391,4378,3351,2695,1900,2161,2124,2969,4661,5512,5570,4112,3059,2238,1577,1262,1443,1531,2152,2604,2593,1885,1380,1076,872,1055,1165,1566,2569,2933,2926,2068,1549,1095,942,1048,1251,1752,2768,3436,3266,2234,1470,1289,983,1041,1263,1754,2471,2776,2315,1590,1382,995,894,971,1240,1724,2422,2608,2036,1588,1176,957,1108,1324,1668,2350,3482,3868,3195,2299,1674,1357,1275,1886,2486,3819,5172,5294,5470,3056,1923,1766,1602,1935,2572,3721,4739,4893,3521,2174,1455,1031,879,839,716,664,593,610,571,477,502,372,310,322,296,341,243,311,169,232,203,208,153,217,141,144,100,98,96,80,60,52,50,52,40,62,30]
[68,60,62,56,70,88,149,94,186,189,253,231,281,322,352,506,630,969,1401,2307,3155,3740,3012,2470,1991,1517,1378,1576,2036,3459,3935,3768,3208,2340,1783,1389,1254,1244,1153,1301,1677,1476,1349,1109,906,801,889,915,1126,1409,1692,1771,1385,1312,1078,727,865,1008,1069,1543,1996,2047,1543,1221,873,808,687,1090,1044,1430,1563,1385,1098,1021,773,781,794,934,1256,1533,1671,1373,1152,1068,842,886,848,1157,1590,2007,2363,2182,1625,1293,1130,1266,1449,1762,2615,3607,3878,3460,2483,1808,1564,1198,1329,1968,2339,2911,3014,2553,1659,1178,830,709,706,695,593,508,481,446,451,375,337,288,324,255,286,168,223,230,217,136,127,100,98,98,90,74,82,98,70,62,66,48,32,52,48,54]
[48,62,60,68,88,60,154,131,206,181,229,211,264,342,342,422,542,691,934,1407,1847,2079,1971,1710,1334,1127,1150,1148,1475,1916,2279,2267,2461,1758,1328,1061,962,873,1050,1122,1147,1063,1090,861,835,680,699,820,837,988,1209,1156,1004,798,819,743,726,697,863,1063,1118,1128,917,764,674,688,721,628,803,913,1155,968,806,706,745,659,703,719,819,1063,1084,949,962,767,752,872,831,984,1259,1498,1607,1435,1184,945,933,872,1123,1352,1843,2384,2509,2145,1486,1397,1097,1001,955,1529,1654,1825,1793,1428,1112,827,644,561,576,523,547,444,433,441,389,243,268,225,217,231,171,196,199,161,208,219,216,108,174,90,94,72,74,62,78,86,60,58,46,46,34,44]
[64,60,46,98,60,92,100,200,145,180,200,218,333,321,303,448,462,742,866,1211,1208,1287,1074,1042,942,951,992,1281,1513,1623,1582,1457,1267,1052,1077,740,830,825,933,841,795,820,715,656,576,673,665,704,795,877,857,793,705,621,568,597,537,731,749,845,690,655,667,523,527,543,557,644,652,791,626,851,592,560,514,583,581,738,811,704,752,695,771,643,738,739,837,1031,1027,1113,1012,901,866,759,832,903,1027,1260,1531,1567,1324,1100,956,890,841,847,936,1068,1364,1246,1034,859,693,643,569,483,407,360,422,349,313,357,273,325,205,208,218,148,254,158,88,199,106,84,100,88,74,92,70,60,64,44,50,44,30,42,36,42,30,50]
[40,58,78,80,70,78,74,90,155,133,113,244,232,265,347,309,374,485,540,661,685,836,790,812,763,730,877,1001,943,1036,1095,1041,1061,992,903,703,830,827,744,793,729,747,660,620,474,505,562,533,639,656,657,674,613,542,588,553,533,598,606,661,586,671,603,583,547,484,497,387,544,572,557,467,556,652,545,562,495,528,642,606,696,596,585,631,566,597,702,700,846,877,859,926,853,755,789,774,790,855,1073,1108,1047,976,894,928,849,834,763,793,849,888,932,748,642,694,473,504,461,365,396,322,349,326,205,221,277,232,236,148,218,143,100,94,70,78,88,78,80,76,66,60,64,54,66,72,56,48,38,48,32,40]
[38,56,58,60,60,90,82,88,94,128,205,190,258,278,211,286,327,337,377,475,478,548,614,693,649,632,770,695,896,815,880,855,885,754,712,722,740,668,677,755,645,566,572,590,539,564,554,487,510,583,595,481,457,463,418,410,505,506,527,503,455,519,432,455,445,541,400,406,397,501,516,464,517,447,460,501,577,507,481,552,564,569,510,453,640,486,608,661,761,724,770,651,739,741,715,625,712,763,837,825,785,784,751,668,776,743,678,636,715,599,650,683,514,605,422,410,455,338,307,275,314,269,218,221,228,228,222,188,102,156,160,213,151,94,86,66,60,72,58,50,50,46,48,56,30,48,24,30,10,34]
[46,68,70,50,82,74,68,88,133,174,172,138,263,264,269,240,347,307,321,423,475,480,490,406,465,597,570,609,675,741,632,657,616,612,585,665,560,503,626,559,565,581,478,455,533,494,454,405,446,492,436,402,422,355,489,391,471,477,406,381,470,478,425,405,349,338,367,387,430,426,431,388,394,443,414,470,410,451,384,498,421,566,531,515,468,503,475,465,615,571,585,641,591,565,517,605,604,640,613,574,645,627,566,585,579,580,554,628,453,569,514,501,396,443,427,419,391,297,335,229,284,238,225,236,132,239,135,92,84,96,100,70,74,66,64,66,76,56,38,32,46,48,40,60,36,56,26,34,26,22]
[38,26,54,54,52,82,151,86,82,98,94,145,191,228,209,196,225,246,306,346,383,385,439,412,464,491,546,486,523,519,549,480,465,547,419,496,483,459,514,447,470,403,415,423,468,465,429,432,324,309,379,359,383,359,360,398,390,322,296,381,435,350,315,389,361,331,307,367,342,298,251,348,335,360,296,418,380,358,382,364,421,354,418,410,451,383,453,440,383,456,550,441,472,426,557,523,415,484,537,532,559,552,498,444,523,450,459,449,518,507,437,434,361,316,329,378,311,328,219,255,242,199,183,165,226,173,98,106,180,78,74,80,90,80,66,54,62,68,76,54,36,44,56,44,24,30,38,32,22,28]
[58,46,42,54,50,54,46,62,195,84,175,100,210,162,234,179,171,273,212,264,347,412,375,394,444,448,482,413,465,445,463,429,411,353,412,440,466,341,342,447,435,386,341,367,359,312,416,446,355,397,374,408,302,358,313,337,314,371,348,296,303,324,351,267,238,327,329,334,351,365,277,329,273,250,366,391,311,244,332,349,393,345,309,340,373,434,373,340,429,401,349,397,315,418,461,397,422,364,447,443,415,449,416,485,382,399,451,430,410,403,361,310,273,387,321,287,276,266,215,256,194,175,275,197,129,227,143,150,80,92,90,94,98,42,58,48,62,46,54,46,38,40,34,40,30,40,34,32,34,30]
[48,30,46,52,56,46,60,72,66,203,76,216,192,237,139,158,197,193,222,254,243,289,307,304,377,316,394,382,420,357,335,432,285,326,306,314,320,346,391,431,356,330,369,346,355,334,292,324,403,251,390,299,292,337,276,237,306,263,233,291,226,229,242,286,194,264,275,273,236,315,289,325,276,281,327,215,320,347,245,247,320,335,258,246,350,271,355,406,315,321,303,347,391,287,307,334,367,369,317,410,290,332,283,270,398,388,364,399,329,362,316,314,323,329,320,232,231,250,251,211,153,160,191,220,204,243,82,84,100,76,68,60,80,54,48,26,40,54,60,36,44,48,36,34,42,30,28,24,30,30]
[36,40,58,56,52,54,42,64,90,68,72,197,92,158,216,173,238,177,245,197,207,232,291,286,330,304,288,308,290,276,355,354,261,276,351,260,303,291,348,322,293,309,226,323,219,255,284,256,326,261,320,236,318,304,231,291,287,274,268,302,291,252,290,245,272,249,220,225,179,255,259,261,152,249,226,274,267,155,283,225,213,279,251,248,252,280,299,311,244,260,401,288,283,248,376,347,264,284,336,357,333,280,305,320,263,261,360,307,289,344,253,235,198,306,255,254,197,248,234,219,218,170,232,199,76,96,88,88,72,70,74,80,74,70,54,36,54,50,52,42,46,34,24,30,22,38,30,34,26,20]
[32,44,52,54,58,56,44,78,52,84,62,98,84,90,171,208,98,200,244,161,285,287,232,254,271,276,245,300,231,273,319,314,299,286,285,230,348,248,212,263,301,324,327,234,188,205,295,256,225,231,188,239,260,209,202,210,240,172,226,140,277,224,217,149,240,195,286,181,261,299,241,219,178,188,203,265,277,301,199,244,218,292,203,238,250,270,271,256,266,239,246,260,349,319,320,224,253,343,319,266,248,320,303,272,297,271,268,235,243,249,247,228,215,237,279,256,187,168,194,144,177,193,94,166,88,74,84,84,66,94,88,62,52,66,66,60,38,54,34,44,58,36,26,26,40,18,26,32,30,14]
[26,32,34,42,36,40,62,58,54,66,48,96,96,187,98,145,88,165,190,216,162,212,209,180,170,259,193,230,248,239,285,202,312,273,260,243,221,249,229,210,227,204,258,276,233,298,216,210,233,187,228,211,245,222,199,181,193,144,180,222,143,180,224,195,169,222,174,156,189,210,186,245,193,182,225,215,142,211,207,187,225,247,230,190,224,243,234,250,191,224,288,241,174,277,206,220,268,253,228,201,253,238,268,213,228,198,234,262,307,199,204,180,264,193,171,126,224,198,177,98,92,199,80,100,100,84,64,62,60,60,46,52,58,60,64,40,44,50,44,56,46,32,52,20,18,16,28,22,32,26]
[30,22,42,30,34,50,62,58,70,38,52,80,88,68,80,130,92,98,206,131,173,172,178,244,167,222,251,210,174,197,188,180,166,233,190,178,185,223,289,156,201,229,223,173,194,242,239,222,159,195,172,204,177,207,215,239,187,176,225,162,148,153,227,142,182,228,204,190,100,200,163,166,151,187,160,100,232,170,199,234,148,206,167,244,198,152,246,200,239,149,210,245,243,210,222,202,139,231,175,294,238,243,274,217,224,264,186,243,219,225,241,208,194,151,162,215,192,193,82,114,100,96,96,72,58,64,80,80,66,54,40,64,64,40,52,38,42,42,34,36,32,38,40,26,40,28,30,18,12,24]
[44,42,44,42,48,38,38,26,56,52,38,68,78,84,80,86,160,82,70,94,131,131,84,151,235,204,203,227,171,220,223,263,157,201,212,257,238,221,180,203,214,206,221,251,155,169,193,147,178,164,202,266,181,201,196,170,176,179,215,208,142,134,223,158,139,171,88,188,195,159,166,173,204,159,167,110,163,181,195,221,226,132,168,148,154,161,173,237,237,255,229,197,188,202,205,118,188,196,235,187,213,217,243,145,143,264,259,188,157,166,175,162,168,205,168,194,146,137,86,86,98,70,88,58,58,72,70,70,62,46,56,46,58,36,54,58,58,40,26,30,38,18,46,42,28,24,24,24,34,32]
[42,38,34,36,28,44,40,62,68,48,46,68,72,82,82,94,100,78,74,98,68,159,94,118,185,221,100,212,149,126,253,130,165,165,185,132,172,192,199,135,182,179,168,181,212,110,209,100,184,195,185,151,201,146,121,206,94,191,179,211,165,154,195,96,193,138,151,204,181,100,98,208,185,98,147,202,100,151,182,181,193,184,135,182,200,214,153,207,110,209,199,169,154,221,181,219,213,147,222,151,247,177,206,219,159,207,223,204,128,164,172,227,168,161,163,82,180,82,88,76,58,96,66,62,80,88,38,56,72,42,46,60,42,56,26,30,56,38,20,20,32,16,48,28,44,38,30,30,30,34]
[22,28,38,32,36,56,58,50,40,62,42,70,64,72,52,88,54,54,76,186,82,88,150,177,82,174,145,181,76,84,86,100,90,230,193,96,205,239,184,96,114,90,212,228,143,197,146,96,132,140,124,94,243,184,92,80,192,215,136,100,114,96,150,148,130,88,157,90,129,98,204,96,166,165,98,168,140,94,144,208,127,122,82,164,168,94,112,166,161,215,96,217,157,253,203,137,228,189,96,133,129,203,154,178,221,78,217,204,125,98,82,96,98,94,80,115,116,74,38,62,76,64,80,60,56,44,68,54,50,56,50,38,40,22,34,50,24,26,50,36,36,14,34,36,38,26,22,34,28,28]
[34,44,24,46,36,42,26,38,28,36,44,62,56,50,52,72,40,70,66,64,78,74,78,92,122,64,66,82,173,191,180,94,190,68,94,203,152,88,150,177,148,133,176,92,100,204,146,161,148,158,217,215,68,86,100,94,94,192,94,128,184,223,100,173,138,94,82,86,92,208,86,98,96,165,172,145,78,88,100,210,186,96,156,86,96,72,84,90,100,214,164,122,173,181,160,111,161,133,90,108,142,137,171,181,178,100,94,80,203,96,90,171,88,76,134,66,82,76,62,56,64,72,54,78,64,54,38,42,42,58,46,40,40,30,26,48,26,24,26,28,36,44,24,32,36,24,26,52,12,34]
[34,32,40,40,26,48,52,30,30,38,40,72,58,50,74,44,56,62,66,76,70,189,98,98,127,76,84,80,86,78,80,88,114,167,80,197,100,174,90,169,82,74,82,116,74,142,92,88,172,124,127,98,141,128,173,94,98,215,68,80,120,92,207,142,187,80,84,160,133,76,88,72,74,202,70,76,90,88,135,90,165,100,72,168,90,88,88,161,80,151,96,96,129,98,96,92,84,72,86,141,136,148,96,88,115,84,74,58,90,80,82,82,84,80,180,74,70,70,68,84,78,82,68,76,44,48,52,60,36,28,34,44,52,20,40,30,40,26,28,36,28,32,26,34,24,34,30,30,18,28]
[34,24,26,46,34,38,36,24,28,44,28,44,34,62,42,56,36,62,50,68,84,72,175,117,74,72,80,88,202,74,76,66,72,100,84,161,156,82,70,76,70,86,76,84,94,88,98,76,72,170,178,76,191,76,68,175,175,96,86,164,86,76,84,58,88,60,82,76,64,80,68,90,92,82,84,100,92,100,92,98,184,66,76,74,56,66,105,96,70,139,178,94,88,90,96,90,78,78,76,72,74,92,84,78,80,78,76,149,102,70,62,78,60,64,56,72,64,76,56,64,56,38,50,58,46,54,44,56,64,30,42,32,44,30,24,46,26,32,34,30,36,20,44,34,22,30,30,24,16,24]
[34,28,34,28,40,26,62,56,24,50,54,46,58,42,52,40,44,78,56,52,42,66,50,66,68,66,90,84,66,66,50,92,78,84,76,82,94,116,76,76,100,90,78,92,76,76,100,70,88,96,153,86,78,62,66,66,76,90,72,78,62,68,82,80,76,70,78,72,78,64,68,76,74,78,54,125,86,70,86,82,162,78,78,76,82,92,84,96,90,86,90,90,149,86,88,84,56,80,84,68,94,98,74,78,74,74,74,94,52,68,70,88,62,66,42,56,44,56,68,54,38,38,52,40,26,62,16,38,28,26,38,30,38,32,38,22,28,40,24,22,30,40,12,24,20,22,40,40,30,16]
[40,32,28,20,32,26,30,28,30,36,56,42,30,50,44,42,42,20,44,74,60,78,80,76,64,74,68,52,84,60,60,94,72,78,54,70,86,66,84,62,64,84,62,56,80,86,72,76,78,70,58,82,84,98,88,74,72,68,86,90,84,90,84,66,48,68,92,72,58,58,84,62,88,84,58,90,80,74,58,52,86,66,96,92,74,38,92,174,90,78,100,80,78,80,82,74,64,62,70,86,54,68,52,46,82,62,80,68,66,68,48,70,44,72,46,60,46,36,46,48,42,44,32,62,44,58,42,54,44,34,32,36,14,60,36,28,30,14,28,44,22,22,46,36,26,26,28,16,20,30]
[32,20,34,36,42,36,34,46,40,42,46,50,46,30,54,42,46,38,42,58,48,34,52,72,50,60,64,64,60,52,66,62,60,58,62,82,56,72,133,36,60,74,70,46,60,76,66,56,66,84,54,60,64,76,76,82,66,60,90,62,70,68,52,40,66,64,68,86,74,70,50,66,40,72,56,76,78,80,68,48,72,72,60,42,68,68,70,54,56,52,70,86,72,54,72,40,58,84,58,68,60,48,76,44,68,78,78,76,70,48,46,58,34,58,64,58,40,56,36,58,58,56,52,62,38,32,52,46,52,40,32,38,36,24,34,24,38,32,20,32,32,32,30,32,24,26,20,18,18,28]
[26,22,24,26,32,20,28,34,46,44,34,24,34,46,48,34,46,36,30,38,24,44,34,56,30,34,60,46,50,60,50,62,68,78,74,72,40,62,84,52,58,62,50,72,60,100,72,60,52,76,52,72,54,54,56,74,78,60,60,62,50,70,66,66,66,52,78,62,64,70,64,62,62,54,68,48,66,72,66,66,74,86,48,40,70,44,64,72,82,66,68,56,64,48,60,32,64,68,76,52,46,50,58,40,56,62,64,62,58,48,44,52,76,36,54,68,46,44,68,46,64,32,36,40,32,36,58,40,42,50,34,28,42,36,24,22,26,26,34,24,36,30,24,14,20,28,12,10,16,34]
[22,40,16,50,22,28,20,40,32,34,34,48,26,40,44,42,44,30,28,50,32,36,52,32,40,50,68,52,50,38,64,52,60,34,54,50,64,46,56,62,40,70,68,50,64,64,66,48,76,66,54,58,84,50,92,76,64,48,66,48,54,62,36,64,52,72,52,60,70,48,70,46,60,64,60,56,52,56,66,56,56,88,76,54,64,58,92,68,54,56,54,84,64,64,54,62,64,54,54,58,52,64,66,64,56,42,50,58,50,54,50,38,64,46,56,70,58,56,38,36,32,60,40,42,32,44,32,30,32,34,22,38,22,20,34,34,38,34,30,22,50,32,14,26,16,34,14,28,18,22]
[22,20,38,38,48,30,12,34,20,32,32,16,46,42,38,36,26,44,48,60,50,40,56,46,40,30,64,44,50,60,58,54,68,56,44,70,76,60,58,48,48,58,46,76,40,78,54,60,48,50,40,62,58,60,60,62,54,68,44,58,50,50,76,82,44,64,68,58,74,54,50,70,42,60,66,62,84,50,58,60,66,62,48,50,58,58,54,60,56,66,50,62,64,60,52,60,58,36,50,72,50,58,44,66,56,66,46,52,54,44,50,48,48,42,68,52,40,60,58,30,30,36,28,40,18,36,34,38,32,30,40,42,58,32,20,28,20,18,26,22,40,20,40,14,28,20,12,12,46,26]
[32,30,38,28,12,28,40,24,32,34,28,28,18,34,22,32,30,38,28,34,40,42,54,60,28,34,42,36,70,58,58,52,50,56,36,56,54,50,56,48,64,48,50,62,60,66,62,40,62,56,40,62,62,76,50,46,62,78,64,46,66,58,86,42,46,60,56,68,58,50,56,44,70,54,68,60,74,68,62,42,70,52,70,48,58,46,50,66,46,52,58,62,40,46,58,66,52,54,44,64,40,58,48,50,46,50,30,46,30,58,44,28,40,58,28,46,46,28,36,30,42,24,32,64,32,24,24,24,36,24,48,44,20,32,18,16,24,26,28,14,18,28,28,10,12,28,24,18,22,18]
[30,28,34,22,44,26,22,24,26,56,36,28,26,36,30,26,30,32,38,40,56,40,38,26,46,32,54,28,54,40,48,26,56,40,44,52,40,52,62,64,52,52,38,72,44,48,42,66,52,42,36,56,68,50,54,42,50,70,52,60,56,42,68,56,26,60,58,50,34,46,50,36,46,68,62,48,50,36,56,48,48,60,50,60,54,56,46,50,42,58,40,54,50,42,48,50,64,42,42,74,66,64,48,44,62,62,28,32,58,44,54,42,38,36,38,32,40,40,58,56,38,40,32,26,30,50,24,18,22,30,32,40,32,44,26,40,10,28,38,38,34,32,18,34,26,24,26,12,26,24]
[6,36,16,42,20,28,28,46,30,24,26,24,30,36,40,30,26,34,40,20,38,32,38,40,50,46,48,62,26,60,38,48,30,34,38,26,50,32,46,42,40,58,44,52,40,68,52,58,46,54,60,38,52,64,54,42,56,60,48,46,74,62,38,34,50,32,66,56,52,40,64,46,62,44,42,60,46,40,36,66,48,58,54,42,48,72,32,48,44,50,42,40,44,40,50,54,28,28,52,64,34,56,44,56,42,62,48,44,30,48,46,32,40,36,32,32,48,34,30,30,40,40,28,30,44,42,18,18,22,20,36,18,40,28,28,32,26,38,12,32,20,32,14,20,24,28,22,16,26,14]
[36,30,36,40,30,20,28,44,22,32,26,28,28,24,26,38,26,22,36,26,36,36,38,32,36,30,42,34,22,34,44,54,40,40,40,38,22,44,42,38,54,28,54,42,42,36,36,46,54,50,52,52,36,32,54,40,72,44,52,44,36,56,32,50,56,34,60,66,24,74,30,44,40,38,56,56,50,66,42,32,60,26,46,46,44,48,50,32,32,46,62,38,42,42,28,38,36,54,60,40,46,48,52,46,40,50,46,32,30,32,60,48,42,46,24,38,50,32,26,34,44,26,24,30,26,42,40,30,32,40,22,26,34,34,26,32,32,32,36,26,20,12,16,26,30,20,22,42,22,26]
[18,26,34,14,34,26,26,54,12,30,32,22,26,32,24,28,20,28,46,34,24,30,32,32,34,30,32,42,26,24,28,50,32,50,46,38,36,60,48,38,46,50,36,54,44,38,42,46,38,52,40,28,36,40,52,54,42,30,52,46,28,44,36,40,44,32,32,30,38,42,34,44,60,48,36,48,42,50,30,50,44,30,54,42,30,42,46,30,40,22,30,44,56,28,44,32,26,60,50,36,40,36,38,34,40,42,30,48,30,66,46,38,42,36,28,28,44,34,32,34,26,24,26,22,36,22,22,32,20,38,24,24,24,22,22,12,36,34,20,32,12,26,26,42,20,24,22,22,22,24]
[24,20,24,28,44,12,26,20,20,40,28,44,34,24,30,28,32,42,20,14,36,38,38,36,38,42,40,30,32,34,24,40,34,32,38,52,20,52,30,40,38,38,50,40,32,46,48,40,38,44,44,44,28,42,38,48,42,42,44,50,34,48,32,40,60,36,52,30,58,32,18,24,40,26,56,46,40,60,50,54,50,46,26,30,26,50,34,34,12,44,48,44,34,30,36,50,38,56,28,50,38,34,44,28,18,20,40,50,30,44,24,44,34,38,32,20,34,16,26,20,34,36,42,28,32,20,22,36,24,20,38,42,34,18,30,26,26,38,28,20,22,24,22,26,36,34,30,30,16,40]
[8,20,22,14,22,28,24,34,20,26,12,18,30,24,36,34,30,20,30,28,22,32,28,34,42,14,36,40,30,30,50,40,20,24,52,48,44,32,30,38,18,44,46,42,46,28,40,28,44,62,36,40,56,30,42,40,42,30,50,40,38,54,46,42,24,50,42,34,36,50,48,62,52,42,40,28,42,52,34,44,48,42,30,26,36,32,36,56,38,34,42,26,46,30,56,46,56,54,36,12,32,30,38,30,30,44,42,34,32,34,42,42,20,42,38,36,26,28,10,32,24,44,34,30,18,30,36,38,40,34,24,24,28,34,14,18,24,28,20,22,28,22,28,28,24,18,26,20,20,14]