R version 4.6.0 (2026-04-24 ucrt)
Platform: x86_64-w64-mingw32/x64
Running under: Windows 11 x64 (build 26200)

Matrix products: default
  LAPACK version 3.12.1

locale:
[1] LC_COLLATE=Chinese (Simplified)_China.utf8 
[2] LC_CTYPE=Chinese (Simplified)_China.utf8   
[3] LC_MONETARY=Chinese (Simplified)_China.utf8
[4] LC_NUMERIC=C                               
[5] LC_TIME=Chinese (Simplified)_China.utf8    

time zone: Asia/Shanghai
tzcode source: internal

attached base packages:
[1] splines   stats     graphics  grDevices utils     datasets  methods  
[8] base     

other attached packages:
[1] ggplot2_4.0.3  survival_3.8-6 pROC_1.19.0.1  mice_3.19.0   

loaded via a namespace (and not attached):
 [1] generics_0.1.4     tidyr_1.3.2        shape_1.4.6.1      stringi_1.8.7     
 [5] lattice_0.22-9     lme4_2.0-1         magrittr_2.0.5     mitml_0.4-5       
 [9] grid_4.6.0         RColorBrewer_1.1-3 iterators_1.0.14   foreach_1.5.2     
[13] jomo_2.7-6         glmnet_5.0         Matrix_1.7-5       nnet_7.3-20       
[17] backports_1.5.1    purrr_1.2.2        scales_1.4.0       textshaping_1.0.5 
[21] codetools_0.2-20   reformulas_0.4.4   Rdpack_2.6.6       cli_3.6.6         
[25] rlang_1.2.0        rbibutils_2.4.1    withr_3.0.2        pan_1.9           
[29] tools_4.6.0        nloptr_2.2.1       minqa_1.2.8        dplyr_1.2.1       
[33] boot_1.3-32        broom_1.0.12       png_0.1-9          vctrs_0.7.3       
[37] R6_2.6.1           rpart_4.1.27       stats4_4.6.0       lifecycle_1.0.5   
[41] stringr_1.6.0      MASS_7.3-65        ragg_1.5.2         pkgconfig_2.0.3   
[45] pillar_1.11.1      gtable_0.3.6       glue_1.8.1         Rcpp_1.1.1-1.1    
[49] systemfonts_1.3.2  tibble_3.3.1       tidyselect_1.2.1   farver_2.1.2      
[53] nlme_3.1-169       labeling_0.4.3     compiler_4.6.0     S7_0.2.2          
