{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Brewing Strains Data Analysis & Modeling\n",
    "**Developed by Zak Costello**\n",
    "\n",
    "In this notebook, all analytics for the paper are performed and can be replicated. Three models informed by different levels of biological intuition were developed and applied to predicting the production of linalool and geraniol in genetically modified brewers yeast. These models are then evaluated using leave one out cross validation, and the error residuals of the models are reported.  To relate model outputs intutitively to engineering practice, a statistical model is derived where given model predictions and errors it can predict the number of strains needed to reach a 90% chance of hitting a specified beer terpine concentration profile.  "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Run Instructions\n",
    "There are several options which can be used to alter the way in which the analytics are performed.  These are described below. Additionally, paths for output files must be set in order for figures and cached models to be saved out.\n",
    "\n",
    "**Options**: Here are the list of flags that can be set to change the way the file behaves when run.\n",
    "\n",
    "1. **Promoters** (True/False): Determines weather to condition models on promoter strenghts or protein counts\n",
    "\n",
    "2. **Remove Outliers** (True/False)\n",
    "\n",
    "3. **Cycle** (1,2,3): Determines which cycle of data to use (1 is for cycle 1, 2 is cycle 2, 3 is cycle 1 + cycle 2)\n",
    "\n",
    "4. **log_log_plots** (True/False): Plot the correlations on a log scale.\n",
    "\n",
    "**Path Variables**: Change these variables to set the output path for saved out files.\n",
    "\n",
    "1. **fig_save_path** : This determines the directory that figures are saved out as PDFs\n",
    "2. **pickle_path** : Determines where cached fit models are saved out.\n",
    "\n",
    "**TODO** Make a Residual histogram overlay with all three models (Same Axes).\n",
    "Make Predictions"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Set flags and paths for file run by editing the cell below.  Many variants of the analysis can be run on the data files provided using these flags."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Verify that Save Path is Correct:\n",
      "/Users/zakcostello/Documents/Kinetic Modeling/Scripts/figures/hopless_beer/Cycle1ProteinNoOutliers\n"
     ]
    }
   ],
   "source": [
    "#Where the figures are saved (If this doesn't exist then it may throw an error)\n",
    "fig_save_path = '/Users/zakcostello/Documents/Kinetic Modeling/Scripts/figures/hopless_beer'\n",
    "pickle_path = '/Users/zakcostello/Documents/Kinetic Modeling/Scripts/data/hopless_beer'\n",
    "\n",
    "#Flags for what analyses to run + how to process the data\n",
    "promoters = False\n",
    "remove_outliers = True\n",
    "log_log_plot = True\n",
    "#log_targets = False\n",
    "cycle = 1\n",
    "\n",
    "#If cycle 1 is active, setting this to true predicts round 2 for each model\n",
    "predict_next_round = True \n",
    "\n",
    "#This is very time consuming only run if you have about 10 hours for the notebook to execute\n",
    "run_kinetic_model = True \n",
    "\n",
    "#Create Condition String for naming Plots\n",
    "condition_string = fig_save_path + '/Cycle' + str(cycle)\n",
    "if promoters:\n",
    "    condition_string += 'Promoter'\n",
    "else:\n",
    "    condition_string += 'Protein'\n",
    "if remove_outliers:\n",
    "    condition_string += 'NoOutliers'\n",
    "\n",
    "print('Verify that Save Path is Correct:')\n",
    "print(condition_string)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Initial Import and Setup\n",
    "All required packages and utility functions are imported and defined below."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "\n",
    "#Data Processing + OS support\n",
    "import csv\n",
    "import itertools\n",
    "import sys\n",
    "import pickle\n",
    "import os.path\n",
    "import re\n",
    "import pandas as pd\n",
    "from IPython.display import display, HTML, Image\n",
    "\n",
    "#scipy imports\n",
    "import scipy\n",
    "from scipy.special import erf\n",
    "from scipy.stats import pearsonr\n",
    "from scipy.integrate import dblquad\n",
    "import scipy.integrate as integrate\n",
    "from scipy.interpolate import LinearNDInterpolator\n",
    "from scipy.optimize import curve_fit, differential_evolution, minimize\n",
    "\n",
    "#Math and Statistics Tools\n",
    "import math\n",
    "from math import pi,sqrt,exp,log\n",
    "from math import ceil,floor,log\n",
    "\n",
    "import random\n",
    "import numpy as np\n",
    "import statistics as stats\n",
    "\n",
    "#Plotting Tools\n",
    "import seaborn as sns\n",
    "import matplotlib.pyplot as plt\n",
    "from mpl_toolkits.mplot3d import Axes3D\n",
    "import matplotlib.patches as mpatches\n",
    "\n",
    "#Parallelization\n",
    "from joblib import Parallel, delayed\n",
    "\n",
    "#Import Scikit learn 0.18 functions\n",
    "from sklearn.svm import SVR\n",
    "from sklearn.decomposition import PCA\n",
    "from sklearn.pipeline import Pipeline\n",
    "from sklearn.feature_selection import RFECV,RFE\n",
    "from sklearn.gaussian_process import GaussianProcessRegressor\n",
    "from sklearn.preprocessing import PolynomialFeatures, StandardScaler, MinMaxScaler\n",
    "from sklearn.ensemble import BaggingRegressor, RandomForestRegressor\n",
    "from sklearn.linear_model import BayesianRidge, LinearRegression, Ridge, LassoLarsIC,LassoLarsCV\n",
    "from sklearn.model_selection import ShuffleSplit, cross_val_score, RandomizedSearchCV,learning_curve\n",
    "from sklearn.metrics import mean_squared_error"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "#Outlier Detection\n",
    "def is_outlier(points, thresh=3.5):\n",
    "    \"\"\"\n",
    "    Returns a boolean array with True if points are outliers and False \n",
    "    otherwise.\n",
    "\n",
    "    Parameters:\n",
    "    -----------\n",
    "        points : An numobservations by numdimensions array of observations\n",
    "        thresh : The modified z-score to use as a threshold. Observations with\n",
    "            a modified z-score (based on the median absolute deviation) greater\n",
    "            than this value will be classified as outliers.\n",
    "\n",
    "    Returns:\n",
    "    --------\n",
    "        mask : A numobservations-length boolean array.\n",
    "\n",
    "    References:\n",
    "    ----------\n",
    "        Boris Iglewicz and David Hoaglin (1993), \"Volume 16: How to Detect and\n",
    "        Handle Outliers\", The ASQC Basic References in Quality Control:\n",
    "        Statistical Techniques, Edward F. Mykytka, Ph.D., Editor. \n",
    "    \"\"\"\n",
    "    points = np.array(points)\n",
    "    if len(points.shape) == 1:\n",
    "        points = points[:,None]\n",
    "    median = np.median(points, axis=0)\n",
    "    diff = np.sum((points - median)**2, axis=-1)\n",
    "    diff = np.sqrt(diff)\n",
    "    med_abs_deviation = np.median(diff)\n",
    "\n",
    "    modified_z_score = 0.6745 * diff / med_abs_deviation\n",
    "\n",
    "    return modified_z_score > thresh\n",
    "\n",
    "#Plot Correlations For Many Variables\n",
    "def plot_corr(df,title='',mask_insignificant=True):\n",
    "    sns.set(style=\"white\")\n",
    "    plt.figure(figsize=(14,8))\n",
    "    n = len(df.columns)\n",
    "    correction_factor= (n**2 - n)/2\n",
    "    # Compute the correlation matrix\n",
    "    corr = round(df.corr()*100)\n",
    "\n",
    "    # Generate a mask for the upper triangle\n",
    "    mask = np.zeros_like(corr, dtype=np.bool)\n",
    "    mask[np.triu_indices_from(mask)] = True\n",
    "\n",
    "    #Generate a Mask for coefficients that are statistically insignificant\n",
    "    p_vals = []\n",
    "    for sp1 in df.columns:\n",
    "        p_val_row = []\n",
    "        for sp2 in df.columns:\n",
    "            p_val = pearsonr(df[sp1].values,df[sp2].values)\n",
    "            #print(sp1,sp2,p_val)\n",
    "            p_val_row.append(p_val[1])\n",
    "        p_vals.append(p_val_row)\n",
    "    \n",
    "    p_vals = [[val > (0.1/correction_factor) for val in row] for row in p_vals]\n",
    "    mask = mask | np.array(p_vals)\n",
    "    \n",
    "    # Generate a custom diverging colormap\n",
    "    cmap = sns.diverging_palette(220, 10, as_cmap=True)\n",
    "    ax = sns.heatmap(corr,annot=True,square=True,mask=mask,fmt='0.3g',cmap=cmap,linewidths=.5)\n",
    "\n",
    "    plt.title(title)\n",
    "    plt.show()\n",
    "    \n",
    "def plot_learning_curve(estimator, title, X, y, ylim=None, cv=None,\n",
    "                        n_jobs=1, train_sizes=np.linspace(.1, 1.0, 5)):\n",
    "    \"\"\"\n",
    "    Generate a simple plot of the test and training learning curve.\n",
    "\n",
    "    Parameters\n",
    "    ----------\n",
    "    estimator : object type that implements the \"fit\" and \"predict\" methods\n",
    "        An object of that type which is cloned for each validation.\n",
    "\n",
    "    title : string\n",
    "        Title for the chart.\n",
    "\n",
    "    X : array-like, shape (n_samples, n_features)\n",
    "        Training vector, where n_samples is the number of samples and\n",
    "        n_features is the number of features.\n",
    "\n",
    "    y : array-like, shape (n_samples) or (n_samples, n_features), optional\n",
    "        Target relative to X for classification or regression;\n",
    "        None for unsupervised learning.\n",
    "\n",
    "    ylim : tuple, shape (ymin, ymax), optional\n",
    "        Defines minimum and maximum yvalues plotted.\n",
    "\n",
    "    cv : int, cross-validation generator or an iterable, optional\n",
    "        Determines the cross-validation splitting strategy.\n",
    "        Possible inputs for cv are:\n",
    "          - None, to use the default 3-fold cross-validation,\n",
    "          - integer, to specify the number of folds.\n",
    "          - An object to be used as a cross-validation generator.\n",
    "          - An iterable yielding train/test splits.\n",
    "\n",
    "        For integer/None inputs, if ``y`` is binary or multiclass,\n",
    "        :class:`StratifiedKFold` used. If the estimator is not a classifier\n",
    "        or if ``y`` is neither binary nor multiclass, :class:`KFold` is used.\n",
    "\n",
    "        Refer :ref:`User Guide <cross_validation>` for the various\n",
    "        cross-validators that can be used here.\n",
    "\n",
    "    n_jobs : integer, optional\n",
    "        Number of jobs to run in parallel (default 1).\n",
    "    \"\"\"\n",
    "    #plt.figure()\n",
    "    plt.title(title)\n",
    "    if ylim is not None:\n",
    "        plt.ylim(*ylim)\n",
    "    plt.xlabel(\"Training examples\")\n",
    "    plt.ylabel(\"Score\")\n",
    "    train_sizes, train_scores, test_scores = learning_curve(\n",
    "        estimator, X, y, cv=cv, n_jobs=n_jobs)\n",
    "    train_scores_mean = np.mean(train_scores, axis=1)\n",
    "    train_scores_std = np.std(train_scores, axis=1)\n",
    "    test_scores_mean = np.mean(test_scores, axis=1)\n",
    "    test_scores_std = np.std(test_scores, axis=1)\n",
    "    plt.grid()\n",
    "\n",
    "    plt.fill_between(train_sizes, train_scores_mean - train_scores_std,\n",
    "                     train_scores_mean + train_scores_std, alpha=0.1,\n",
    "                     color=\"r\")\n",
    "    plt.fill_between(train_sizes, test_scores_mean - test_scores_std,\n",
    "                     test_scores_mean + test_scores_std, alpha=0.1, color=\"g\")\n",
    "    plt.plot(train_sizes, train_scores_mean, 'o-', color=\"r\",\n",
    "             label=\"Training score\")\n",
    "    plt.plot(train_sizes, test_scores_mean, 'o-', color=\"g\",\n",
    "             label=\"Cross-validation score\")\n",
    "\n",
    "    plt.legend(loc=\"best\")\n",
    "    return plt\n",
    "\n",
    "def plot_model_fit(name,predicted,actual,log=False):\n",
    "    if log:\n",
    "        predicted = [math.log(x) for x in predicted]\n",
    "        actual = [math.log(y) for y in actual]\n",
    "\n",
    "    mu,sigma = calculate_moments(actual,predicted)\n",
    "    #r2,pval = pearsonr(predicted,actual)\n",
    "    #mse = mean_squared_error(predicted,actual)\n",
    "    #print(name,'R^2: ', r2,'p-val: ',pval,'MSE: ',mse)\n",
    "    \n",
    "    plt.scatter(predicted,actual)\n",
    "    plt.title(name + ' Predicted vs. Actual')\n",
    "    ax = plt.gca()\n",
    "    ax.plot([-120,120], [-120,120], ls=\"--\", c=\".3\")\n",
    "    \n",
    "    #Plot Correct Ranges\n",
    "    padding_y = (max(actual) - min(actual))*0.1\n",
    "    plt.ylim(min(actual)-padding_y,max(actual)+padding_y)\n",
    "    \n",
    "    padding_x = (max(predicted) - min(predicted))*0.1\n",
    "    plt.xlim(min(predicted)-padding_x,max(predicted)+padding_x)\n",
    "    \n",
    "    plt.xlabel('Predicted ' + name)\n",
    "    plt.ylabel('Actual ' + name)\n",
    "    \n",
    "    plt.show()\n",
    "    \n",
    "    return mu,sigma\n",
    "\n",
    "#Kinetic Model Iteration 0\n",
    "def model_0(parameters,inputs):\n",
    "    DMAPP,beta,alpha_0,alpha_1,alpha_2 = parameters[0:5]\n",
    "    K_cat = parameters[5:11]\n",
    "    K_m = parameters[11:17]\n",
    "    time = parameters[17] #Time in seconds between collection\n",
    "\n",
    "    linalool, geraniol, FPPS, LIS, GerS = inputs\n",
    "    \n",
    "    #Find Steady State GPP Concentration using equation in section above\n",
    "    steady_state_fcn = lambda GPP: K_cat[0]*alpha_0*beta*FPPS*DMAPP/(K_m[0] + DMAPP) + \\\n",
    "                                   K_cat[1]*alpha_0*(1 - beta)*FPPS*DMAPP/(K_m[1] + DMAPP) - \\\n",
    "                                   K_cat[2]*alpha_0*beta*FPPS*GPP/(K_m[2] + GPP) - \\\n",
    "                                   K_cat[3]*alpha_0*(1 - beta)*FPPS*GPP/(K_m[3] + GPP) - \\\n",
    "                                   K_cat[4]*alpha_1*LIS*GPP/(K_m[4] + GPP) - \\\n",
    "                                   K_cat[5]*alpha_2*GerS*GPP/(K_m[5] + GPP)\n",
    "    cost_fcn = lambda GPP: (GPP>0)*steady_state_fcn(GPP)**2 + (GPP<0)*10**99\n",
    "    \n",
    "    result = minimize(cost_fcn,0.1,method='Nelder-Mead')#,constraints=({'type': 'ineq', 'fun': lambda x:  x[0]}))\n",
    "\n",
    "    GPP = result.x\n",
    "    linalool = K_cat[4]*alpha_1*LIS*GPP/(K_m[4] + GPP)*time\n",
    "    geraniol = K_cat[5]*alpha_2*GerS*GPP/(K_m[5] + GPP)*time\n",
    "\n",
    "    return linalool, geraniol\n",
    "\n",
    "#Kinetic Model Iteration 1\n",
    "def model_1(parameters,inputs):\n",
    "    s0,beta,alpha_0,alpha_1,alpha_2,alpha_3,gamma_0,gamma_1,gamma_2,gamma_3 = parameters[0:10]\n",
    "    K_cat = parameters[10:17]\n",
    "    K_m = parameters[17:24]\n",
    "    time = parameters[24] #Time in seconds between collection\n",
    "\n",
    "    linalool, geraniol, FPPS, LIS, GerS, tHMG1 = inputs\n",
    "    \n",
    "    #Solve for DMAPP\n",
    "    a = K_cat[6]*(alpha_3*tHMG1+gamma_3)*s0/(K_m[6] + s0) \n",
    "    b = K_cat[0]*beta*(alpha_0*FPPS + gamma_0)\n",
    "    c = K_m[0]\n",
    "    d = K_cat[1]*(1 - beta)*(alpha_0*FPPS + gamma_0)\n",
    "    e = K_m[1]\n",
    "    sol1 = (-b*c - a*d + b*e + d*e - math.sqrt(-4*b*d*e*(-a - c + e) + (-b*c - a*d + b*e + d*e)**2))/(2*(a + c - e))\n",
    "    sol2 = (-b*c - a*d + b*e + d*e + math.sqrt(-4*b*d*e*(-a - c + e) + (-b*c - a*d + b*e + d*e)**2))/(2*(a + c - e))\n",
    "    DMAPP = max(sol1,sol2)\n",
    "    \n",
    "    #Find Steady State GPP Concentration using equation in section above\n",
    "    steady_state_fcn = lambda GPP: K_cat[0]*beta*(alpha_0*FPPS+gamma_0)*DMAPP/(K_m[0] + DMAPP) + \\\n",
    "                                   K_cat[1]*(1 - beta)*(alpha_0*FPPS+gamma_0)*DMAPP/(K_m[1] + DMAPP) - \\\n",
    "                                   K_cat[2]*beta*(alpha_0*FPPS+gamma_0)*GPP/(K_m[2] + GPP) - \\\n",
    "                                   K_cat[3]*(1 - beta)*(alpha_0*FPPS+gamma_0)*GPP/(K_m[3] + GPP) - \\\n",
    "                                   K_cat[4]*(alpha_1*LIS+gamma_1)*GPP/(K_m[4] + GPP) - \\\n",
    "                                   K_cat[5]*(alpha_2*GerS+gamma_2)*GPP/(K_m[5] + GPP)\n",
    "    cost_fcn = lambda GPP: (GPP>0)*steady_state_fcn(GPP)**2 + (GPP<0)*10**99\n",
    "    \n",
    "    result = minimize(cost_fcn,0.1,method='Nelder-Mead')#,constraints=({'type': 'ineq', 'fun': lambda x:  x[0]}))\n",
    "\n",
    "    GPP = result.x\n",
    "    linalool = K_cat[4]*(alpha_1*LIS+gamma_1)*GPP/(K_m[4] + GPP)*time\n",
    "    geraniol = K_cat[5]*(alpha_2*GerS+gamma_2)*GPP/(K_m[5] + GPP)*time\n",
    "    \n",
    "    return linalool, geraniol\n",
    "    \n",
    "#Calculate Fit with Data Model and Plot Predicted vs Actual\n",
    "def predict_LG(parameters,data,model_fcn=model_0):\n",
    "    #DMAPP,beta,alpha_0,alpha_1,alpha_2 = parameters[0:5]\n",
    "    #K_cat = parameters[5:11]\n",
    "    #K_m = parameters[11:17]\n",
    "    #time = 3600*24*5 #parameters[17] #Time in seconds between collection\n",
    "    \n",
    "    \n",
    "    #First Find GPP for each peice of data\n",
    "    Linalool_Predicted = []\n",
    "    Geraniol_Predicted = []\n",
    "    Linalool_Actual = []\n",
    "    Geraniol_Actual = []\n",
    "    for point in data:\n",
    "        linalool = point[0]\n",
    "        geraniol = point[1]\n",
    "        \n",
    "        model = lambda data: model_fcn(parameters,data)\n",
    "        #Unpack data variables\n",
    "        #linalool, geraniol, FPPS, LIS, GerS = point\n",
    "        \n",
    "        #Find Steady State GPP Concentration using equation in section above\n",
    "        #steady_state_fcn = lambda GPP: K_cat[0]*alpha_0*beta*FPPS*DMAPP/(K_m[0] + DMAPP) + \\\n",
    "        #                               K_cat[1]*alpha_0*(1 - beta)*FPPS*DMAPP/(K_m[1] + DMAPP) - \\\n",
    "        #                               K_cat[2]*alpha_0*beta*FPPS*GPP/(K_m[2] + GPP) - \\\n",
    "        #                               K_cat[3]*alpha_0*(1 - beta)*FPPS*GPP/(K_m[3] + GPP) - \\\n",
    "        #                               K_cat[4]*alpha_1*LIS*GPP/(K_m[4] + GPP) - \\\n",
    "        #                               K_cat[5]*alpha_2*GerS*GPP/(K_m[5] + GPP)\n",
    "        #cost_fcn = lambda GPP: (GPP>0)*steady_state_fcn(GPP)**2 + (GPP<0)*10**99\n",
    "        \n",
    "        #Y = [cost_fcn(val) for val in np.linspace(0,0.001,1000)]\n",
    "        #plt.plot(np.linspace(0,0.001,1000),Y)\n",
    "        #plt.show()\n",
    "        \n",
    "        #Minimize Cost Fcn Subject to [GPP] > 0. Initialize GPP at 1.\n",
    "        #result = differential_evolution(cost_fcn,[(0,1000),(0,10000)])\n",
    "        #result = minimize(cost_fcn,0.1,method='Nelder-Mead')#,constraints=({'type': 'ineq', 'fun': lambda x:  x[0]}))\n",
    "        #print(result.x,result.fun)\n",
    "        \n",
    "        #GPP = result.x\n",
    "        #lp = K_cat[4]*alpha_1*LIS*GPP/(K_m[4] + GPP)*time\n",
    "        \n",
    "        #gp = K_cat[5]*alpha_2*GerS*GPP/(K_m[5] + GPP)*time\n",
    "        lp,gp = model(point)\n",
    "        Linalool_Predicted.append(lp[0])\n",
    "        Geraniol_Predicted.append(gp[0])\n",
    "        Linalool_Actual.append(linalool)\n",
    "        Geraniol_Actual.append(geraniol)\n",
    "        \n",
    "    #Plot Linalool Predictions\n",
    "    plot_model_fit('Linalool',Linalool_Predicted,Linalool_Actual,log=False)\n",
    "\n",
    "    #Plot Geraniol Predictions\n",
    "    plot_model_fit('Geraniol',Geraniol_Predicted,Geraniol_Actual)\n",
    "\n",
    "    #Plot Total Terpine Production Predictions\n",
    "    Total_Terpines_Predicted = [g+l for g,l in zip(Geraniol_Predicted,Linalool_Predicted)]\n",
    "    Total_Terpines_Actual = [g+l for g,l in zip(Geraniol_Actual,Linalool_Actual)]\n",
    "    plot_model_fit('Total Terpines',Total_Terpines_Predicted,Total_Terpines_Actual,log=False)\n",
    "\n",
    "def cost(parameters,data,model_fcn=model_0):    \n",
    "    model = lambda data: model_fcn(parameters,data)\n",
    "    \n",
    "    value = 0\n",
    "    for point in data:\n",
    "        lp,gp = model(point)\n",
    "        linalool = point[0]\n",
    "        geraniol = point[1]\n",
    "        value += (lp - linalool)**2 + (gp - geraniol)**2       \n",
    "    return value\n",
    "\n",
    "def plot_model_accuracy(model_predictions,log=False,noise_floor=0.018):\n",
    "    '''Check a models ability to predict Linalool and Geraniol from a list of prediction ground truth pairs'''\n",
    "    \n",
    "    mu_vec = []\n",
    "    sigma_vec = []\n",
    "    \n",
    "    #Plot individual Terpine Predictions\n",
    "    for i,metabolite in enumerate(['Linalool','Geraniol']):\n",
    "        predicted_value = [max(point[0][i],noise_floor) for point in model_predictions]\n",
    "        actual_value = [max(point[1][i],noise_floor) for point in model_predictions]\n",
    "        mu,sigma = plot_model_fit(metabolite,predicted_value,actual_value,log=log)\n",
    "        mu_vec.append(mu)\n",
    "        sigma_vec.append(sigma)\n",
    "        \n",
    "    # Plot Total Terpine Predictions\n",
    "    predicted_value =  [max(point[0][0] + point[0][1],noise_floor) for point in model_predictions]\n",
    "    actual_value = [max(point[1][0] + point[1][1],noise_floor) for point in model_predictions]\n",
    "    \n",
    "    value_hist = [math.log(actual) - math.log(predicted) for predicted,actual in zip(predicted_value,actual_value)]\n",
    "    sns.distplot(value_hist)\n",
    "    plt.show()\n",
    "    mu,sigma = plot_model_fit('Total Terpines',predicted_value,actual_value,log=log)\n",
    "    mu_vec.append(mu)\n",
    "    sigma_vec.append(sigma)\n",
    "    return mu_vec,sigma_vec\n",
    "    \n",
    "def calculate_moments(actual,predicted):\n",
    "    error = [p - a for p,a in zip(predicted,actual)]\n",
    "    sigma = stats.stdev(error)\n",
    "    mu = stats.mean(error)\n",
    "    print('Residual Mean: ',mu,' Residual Standard Deviation: ',sigma)\n",
    "    print('90% of the predictions are within ',1.645*sigma,' of the actual value.')\n",
    "    return mu,sigma"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "#Functions to support Number of required strains calculation\n",
    "def bivariate_gaussian(x,y,c_x,c_y,sigma_X,sigma_Y,rho=0):\n",
    "    z = (x - c_x)**2/sigma_X**2 + (y - c_y)**2/sigma_Y**2 - 2*rho*(y - c_y)*(x - c_x)/(sigma_X*sigma_Y)\n",
    "    return 1/(2*pi*sigma_X*sigma_Y*sqrt(1-rho**2))*exp(-1*z/(2*(1-rho**2)))\n",
    "\n",
    "def sample_bivariate_pdf(X,Y,sigma_X,sigma_Y,num_samples):\n",
    "    samples = []\n",
    "    cov = [[sigma_X**2, 0], [0, sigma_Y**2]]\n",
    "    for i in range(num_samples):\n",
    "        dist_num = np.random.randint(low=0, high=len(X))\n",
    "        mean = [X[dist_num],Y[dist_num]]\n",
    "        sample = np.random.multivariate_normal(mean, cov)\n",
    "        #print(sample)\n",
    "        samples.append(sample)\n",
    "    return samples\n",
    "\n",
    "def integrate_bivariate_gaussian_patch(x,y,c_x,c_y,r_success,sigma_X,sigma_Y,rho=0):\n",
    "    #Find the probability of the realized prediction being in the success radius\n",
    "    z = lambda l,g: (l - x)**2/sigma_X**2 + \\\n",
    "                    (g - y)**2/sigma_Y**2 - \\\n",
    "                     2*rho*(g - y)*(l - x)/(sigma_X*sigma_Y)\n",
    "\n",
    "    integrand = lambda l,g: 1/(2*pi*sigma_X*sigma_Y*sqrt(1-rho**2))*exp(-1*z(l,g)/(2*(1-rho**2)))\n",
    "\n",
    "    Gmin = lambda l: c_y - sqrt(r_success**2 - (l- c_x)**2) \n",
    "    Gmax = lambda l: c_y + sqrt(r_success**2 - (l- c_x)**2)\n",
    "\n",
    "    a = c_x - r_success\n",
    "    b = c_x + r_success\n",
    "\n",
    "    #Integrate to find the probability given this sample\n",
    "    return dblquad(integrand,a,b,Gmin,Gmax)[0]\n",
    "\n",
    "#Create Map From Promoter to Protein\n",
    "def create_univariate_map(df_promoter,df_protein):\n",
    "    protein = [val for val in df_protein.values]\n",
    "    promoter = np.array(df_promoter.values).reshape(-1, 1)\n",
    "    regressor = LassoLarsCV(positive=False,normalize=True)\n",
    "    regressor.fit(promoter,protein)\n",
    "    return regressor\n",
    "\n",
    "#Create a random strain from existing proteomics\n",
    "def random_strain(df):\n",
    "    promoters = ['Promoter tHMG1','Promoter FPPS','Promoter LIS','Promoter GerS']\n",
    "    proteins =['tHMG1','FPPS','LIS','GerS']\n",
    "    \n",
    "    #Pick a random promoter uniformly from all unique ones\n",
    "    strain = []\n",
    "    for promoter,protein in zip(promoters,proteins):\n",
    "        #Get a unique list of promoters\n",
    "        promoter_vals = df[promoter].values\n",
    "        promoter_vals = list(set(promoter_vals))\n",
    "        #print(promoter_vals)\n",
    "        \n",
    "        #Randomly Select From List 1 Promoter\n",
    "        promoter_val = random.choice(promoter_vals)\n",
    "        \n",
    "        #Find the corresponding protein values which share that promoter number\n",
    "        protein_vals = df[protein].loc[df[promoter]== promoter_val].values\n",
    "        #print(protein_vals)\n",
    "        \n",
    "        #Randomly Select one protein value\n",
    "        protein_val = random.choice(protein_vals)\n",
    "        \n",
    "        #Append Protein value to strain\n",
    "        strain.append(protein_val)\n",
    "\n",
    "    return strain\n",
    "\n",
    "#Calculate Round 2 From Kinetic Model for random coordinates\n",
    "def kinetic_model_proteomics_to_terpines(samples):\n",
    "    linalool_vals = []\n",
    "    geraniol_vals = []\n",
    "    \n",
    "    for sample in samples:\n",
    "        linalool,geraniol = model_1(kinetic_model.x,[0,0,sample[1],sample[2],sample[3],sample[0]])\n",
    "        linalool[0] = max(linalool[0],0.018)\n",
    "        geraniol[0] = max(geraniol[0],0.018)\n",
    "        linalool_vals.append(float(math.log(linalool[0])))\n",
    "        geraniol_vals.append(float(math.log(geraniol[0])))\n",
    "    return [linalool_vals,geraniol_vals]\n",
    "\n",
    "def linear_model_proteomics_to_terpines(samples):\n",
    "    linear_regressor_1 = LassoLarsCV(positive=False,normalize=False)\n",
    "    linear_regressor_2 = LassoLarsCV(positive=True,normalize=False,fit_intercept=False)\n",
    "    linear_regressor_3 = LassoLarsCV(positive=True,normalize=False,fit_intercept=False)\n",
    "    \n",
    "    #Linear Model Cycle 2 Predictions\n",
    "    for k,data in [(0,linear_df1.values),(1,linear_df2.values),(2,linear_df3.values)]:\n",
    "        Y_train = [x[2:].tolist() for j,x in enumerate(data)]\n",
    "        X_train = [x[:2].tolist() for j,x in enumerate(data)]\n",
    "\n",
    "        #Get Correct Test Data For Model\n",
    "        \n",
    "        #Set Up Promoter/Protein DF\n",
    "        #test_df = pd.DataFrame()\n",
    "        #if promoters:\n",
    "        #    for test_name,name in [('tHMG1','Promoter tHMG1'),('FPPS','Promoter FPPS'),('LIS','Promoter LIS'),('GerS','Promoter GerS')]:\n",
    "        #        test_df[test_name] = df2[name]\n",
    "        #else:\n",
    "        #    for name in ['tHMG1','FPPS','LIS','GerS']:\n",
    "        #        test_df[name] = df2[name]\n",
    "        \n",
    "        #Create Model + Predictions using all Training Data with cycle 2 test data\n",
    "        if k == 0:\n",
    "            linear_regressor_1.fit(X_train,Y_train)\n",
    "            #X_test = test_df[['tHMG1','FPPS']].values\n",
    "            X_test = [[sample[0],sample[1]] for sample in samples]\n",
    "            flux_prediction = linear_regressor_1.predict(X_test).tolist()\n",
    "        elif k==1:\n",
    "            #X_test = test_df[['LIS','GerS']].values\n",
    "            X_test = [[sample[2],sample[3]] for sample in samples]\n",
    "            linear_regressor_2.fit(X_train,Y_train)\n",
    "            percent_linalool_prediction = linear_regressor_2.predict(X_test).tolist()\n",
    "        elif k==2:\n",
    "            #X_test = test_df[['LIS','GerS']].values\n",
    "            X_test = [[sample[2],sample[3]] for sample in samples]\n",
    "            linear_regressor_3.fit(X_train,Y_train)\n",
    "            percent_geraniol_prediction = linear_regressor_3.predict(X_test).tolist()\n",
    "            \n",
    "    #Generate Final Predictions\n",
    "    flux_prediction = [max(fp,0.018) for fp in flux_prediction]\n",
    "    percent_linalool_prediction = [max(plp,0.018) for plp in percent_linalool_prediction]\n",
    "    percent_geraniol_prediction = [max(pgp,0.018) for pgp in percent_geraniol_prediction]\n",
    "    linalool_prediction = [math.log(fp*plp) for fp,plp in zip(flux_prediction,percent_linalool_prediction)]\n",
    "    geraniol_prediction = [math.log(fp*pgp) for fp,pgp in zip(flux_prediction,percent_geraniol_prediction)]\n",
    "    \n",
    "    #linear_regressor_cycle2_predictions = [[lin,ger] for lin,ger in zip(linalool_prediction,geraniol_prediction)]\n",
    "    linear_regressor_cycle2_predictions = [linalool_prediction,geraniol_prediction]\n",
    "    return linear_regressor_cycle2_predictions\n",
    "\n",
    "#Create Loopy Plot\n",
    "def loopy_plot(random_prb,targeted_prb,num_strains=100): \n",
    "    #Calculate Plot Range\n",
    "    min_prb = min(random_prb,targeted_prb)\n",
    "    \n",
    "    n = 0\n",
    "    while 1 - (1 - min_prb)**n < 0.9:\n",
    "        n += 1\n",
    "    num_strains = int(n*1.20)\n",
    "    \n",
    "    num_samples = [m for m in range(num_strains)]\n",
    "    p_rnd = [1- (1 - random_prb)**n for n in num_samples]\n",
    "    p_tar = [1- (1 - targeted_prb)**n for n in num_samples]\n",
    "    \n",
    "    plt.plot(num_samples,p_rnd)\n",
    "    plt.plot(num_samples,p_tar)\n",
    "    \n",
    "    plt.axhline(y=0.9, color='k', linestyle='--')\n",
    "    plt.title('Strains to hit terpine target for ' + beer)\n",
    "    plt.xlabel('Number of Strains')\n",
    "    plt.ylabel('Probability of at Least One Strain Meeting Specification') \n",
    "    \n",
    "    #Print out Plot For Dressing Up\n",
    "    plt.savefig(condition_string + beer + 'NumStrainsPrediction.pdf',format='pdf')\n",
    "    \n",
    "    plt.show()\n",
    "    \n",
    "#Use Each Model to calculate a selection Centroid and Radius For the set of strains under Test in Cycle 2\n",
    "def calculate_success_distribution(r_selection,r_success,sigma_L,sigma_G,p_target,rho=0,n = 5000):\n",
    "    #Sample From the 2d circular uniform distribution centered at 0 with radius r_selection\n",
    "    p = []\n",
    "    radius = lambda x: sqrt(x[0]**2 + x[1]**2)\n",
    "    for _ in range(n):\n",
    "        p_sample = np.random.uniform(low=-1*r_selection,high=r_selection,size=2).tolist()\n",
    "        while radius(p_sample) < r_selection:\n",
    "            p_sample = np.random.uniform(low=-1*r_selection,high=r_selection,size=2).tolist()\n",
    "\n",
    "        #Find the probability of the realized prediction being in the success radius\n",
    "        z = lambda l,g: (l - p_sample[0])**2/sigma_L**2 + \\\n",
    "                        (g - p_sample[1])**2/sigma_G**2 - \\\n",
    "                         2*rho*(g - p_sample[1])*(l - p_sample[0])/(sigma_L*sigma_G)\n",
    "\n",
    "        integrand = lambda l,g: 1/(2*pi*sigma_L*sigma_G*sqrt(1-rho**2))*exp(-1*z(l,g)/(2*(1-rho**2)))\n",
    "\n",
    "        Gmin = lambda l: p_sample[1] - sqrt(r_success**2 - (l- p_sample[0])**2) \n",
    "        Gmax = lambda l: p_sample[1] + sqrt(r_success**2 - (l- p_sample[0])**2)\n",
    "\n",
    "        a = p_sample[0] - r_success\n",
    "        b = p_sample[0] + r_success\n",
    "\n",
    "        #Integrate to find the probability given this sample\n",
    "        p.append(dblquad(integrand,a,b,Gmin,Gmax)[0])\n",
    "\n",
    "    return p"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Load & Process Data\n",
    "Data sets from both DBTL Cycles are loaded.  Each DBTL Cycle has a dataframe associated with it, also a combined data frame is created to process the data sets together. The data is loaded in from EDD & the google sheets files provided.  This data is then processed to get moments for the replicates and combinded into a single table for use in the rest of the analysis.  A sample output with a subset of the columns and rows is shown below."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cycle 1 Data Loaded!\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/usr/local/lib/python3.5/site-packages/ipykernel/__main__.py:110: SettingWithCopyWarning: \n",
      "A value is trying to be set on a copy of a slice from a DataFrame.\n",
      "Try using .loc[row_indexer,col_indexer] = value instead\n",
      "\n",
      "See the caveats in the documentation: http://pandas.pydata.org/pandas-docs/stable/indexing.html#indexing-view-versus-copy\n",
      "/usr/local/lib/python3.5/site-packages/pandas/core/frame.py:2454: SettingWithCopyWarning: \n",
      "A value is trying to be set on a copy of a slice from a DataFrame\n",
      "\n",
      "See the caveats in the documentation: http://pandas.pydata.org/pandas-docs/stable/indexing.html#indexing-view-versus-copy\n",
      "  self._where(-key, value, inplace=True)\n",
      "/usr/local/lib/python3.5/site-packages/ipykernel/__main__.py:114: SettingWithCopyWarning: \n",
      "A value is trying to be set on a copy of a slice from a DataFrame.\n",
      "Try using .loc[row_indexer,col_indexer] = value instead\n",
      "\n",
      "See the caveats in the documentation: http://pandas.pydata.org/pandas-docs/stable/indexing.html#indexing-view-versus-copy\n"
     ]
    }
   ],
   "source": [
    "#Name Replacements\n",
    "h_names = {'sp|Q8H2B4|LLOS_MENAQ mean'  : 'LIS',\n",
    "           'sp|Q8H2B4|LLOS_MENAQ stdev' : 'LIS stdev',\n",
    "           'sp|Q6USK1|GERS_OCIBA mean'  : 'GerS',\n",
    "           'sp|Q6USK1|GERS_OCIBA stdev' : 'GerS stdev',\n",
    "           'sp|P54839|HMCS_YEAST mean'  : 'tHMG1',\n",
    "           'sp|P54839|HMCS_YEAST stdev' : 'tHMG1 stdev',\n",
    "           'sp|P08524|FPPS_YEAST mean'  : 'FPPS', \n",
    "           'sp|P08524|FPPS_YEAST stdev' : 'FPPS stdev', \n",
    "           'Rank'   : 'Promoter tHMG1',\n",
    "           'Rank.1' : 'Promoter FPPS',\n",
    "           'Rank.2' : 'Promoter LIS',\n",
    "           'Rank.3' : 'Promoter GerS'\n",
    "          }\n",
    "\n",
    "#Load Data Frames cycle 1\n",
    "dfc1  = pd.read_csv('../Data/HoplessBeerProductionCycle1.csv')\n",
    "pdfc1 = pd.read_csv('../Data/HoplessBeerProteomicsCycle1.csv')\n",
    "\n",
    "#Load Data Frames cycle 2\n",
    "dfc2 = pd.read_csv('../Data/HoplessBeerProduction.csv')\n",
    "proteomics_df = pd.read_csv('../Data/HoplessBeerProteomics.csv')\n",
    "\n",
    "#Noise Floor to remove zeros for use in log plots\n",
    "linalool_noise_floor = 0.018\n",
    "geraniol_noise_floor = 0.018\n",
    "\n",
    "#Import Proteomics Data Frame Cycle 1\n",
    "\n",
    "\n",
    "#Import Proteomics Data Frame Cycle 2\n",
    "#Add Replicate column to DataFrame\n",
    "line_names = proteomics_df['Line Name'].values\n",
    "\n",
    "#Separate Line Names from Replicates\n",
    "new_line_names = []\n",
    "replicate = []\n",
    "for line_name in line_names:\n",
    "    new_line_name = \"-\".join(line_name.split(\"-\", 2)[:2])\n",
    "    replicate_no = int(line_name.split(\"-\", 2)[-1])\n",
    "    \n",
    "    new_line_names.append(new_line_name)\n",
    "    replicate.append(replicate_no)\n",
    "\n",
    "#Update DF With new names and replicates\n",
    "proteomics_df['Line Name'] = new_line_names\n",
    "proteomics_df['Replicate'] = replicate\n",
    "\n",
    "#Calculate Proteomics Statistics & Add to Table\n",
    "def unique(seq, idfun=None): \n",
    "    # order preserving\n",
    "    if idfun is None:\n",
    "        def idfun(x): return x\n",
    "    seen = {}\n",
    "    result = []\n",
    "    for item in seq:\n",
    "        marker = idfun(item)\n",
    "        # in old Python versions:\n",
    "        # if seen.has_key(marker)\n",
    "        # but in new ones:\n",
    "        if marker in seen: continue\n",
    "        seen[marker] = 1\n",
    "        result.append(item)\n",
    "    return result\n",
    "\n",
    "def reindex(items,indecies):\n",
    "    items = sorted(zip(indecies,items))\n",
    "    items = [item[1] for item in items]\n",
    "    return items\n",
    "\n",
    "#print('proteomics_df')\n",
    "#display(proteomics_df)\n",
    "line_names = unique(proteomics_df['Line Name'].values)\n",
    "measurement_types = unique(proteomics_df['Measurement Type'].values)\n",
    "\n",
    "means = {}\n",
    "stdevs = {}\n",
    "for measurement_type in measurement_types:\n",
    "    m1 = []\n",
    "    m2 = []\n",
    "    for line_name in line_names:\n",
    "        values = proteomics_df['0'].loc[(proteomics_df['Measurement Type'] == measurement_type) & (proteomics_df['Line Name'] == line_name)].values\n",
    "        m1.append(stats.mean(values))\n",
    "        m2.append(stats.stdev(values))\n",
    "    means[measurement_type] = m1\n",
    "    stdevs[measurement_type] = m2\n",
    "\n",
    "\n",
    "#Add Updated Proteomics data to df\n",
    "df_line_names = unique(dfc2['Line Name'].values)\n",
    "#print(line_names)\n",
    "#print(df_line_names)\n",
    "#print(df.columns)\n",
    "\n",
    "#Go Back and check this on a fresh mind -- Make sure they are lining up correctly...\n",
    "indecies =  []\n",
    "for line_name in line_names:\n",
    "    indecies.append(df_line_names.index(line_name))\n",
    "\n",
    "for measurement_type in measurement_types:\n",
    "    dfc2[measurement_type + ' mean'] =  reindex(means[measurement_type],indecies)\n",
    "    dfc2[measurement_type + ' stdev'] = reindex(stdevs[measurement_type],indecies)\n",
    "    \n",
    "#Change Column Names\n",
    "dfc2 =dfc2.rename(columns=h_names)\n",
    "display_columns = ['Line Name','Linalool','Geraniol','GerS','LIS','LIS stdev','Maltose','Maltotriose','Glucose','EtOH','Promoter LIS','Promoter tHMG1','Promoter GerS','Promoter FPPS']\n",
    "\n",
    "noise_floor = 0.018\n",
    "dfc2LinGer = dfc2[['Linalool','Geraniol']]\n",
    "dfc2LinGer[dfc2<noise_floor] = noise_floor \n",
    "dfc2[['Linalool','Geraniol']] = dfc2LinGer\n",
    "\n",
    "dfc1LinGer = dfc1[['Linalool','Geraniol']]\n",
    "dfc1LinGer[dfc1<noise_floor] = noise_floor \n",
    "dfc1[['Linalool','Geraniol']] = dfc1LinGer\n",
    "\n",
    "#display(dfc1[display_columns])\n",
    "#display(dfc2[display_columns])\n",
    "\n",
    "if cycle==1:\n",
    "    df = dfc1.iloc[0:-1]\n",
    "    df2 = dfc2.iloc[0:-1]\n",
    "    df_total = pd.concat([dfc1.iloc[0:-1],dfc2.iloc[0:-1]])\n",
    "    print('Cycle 1 Data Loaded!')\n",
    "elif cycle==2:\n",
    "    df = dfc2.iloc[0:-1]\n",
    "    print('Cycle 2 Data Loaded!')\n",
    "elif cycle==3:\n",
    "    df = pd.concat([dfc1.iloc[0:-1],dfc2.iloc[0:-1]])\n",
    "    print('Cycle 1 & 2 Data Loaded!')\n",
    "#df = dfc1.iloc[0:-1]\n",
    "#display(df)\n",
    "#print(df.columns)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Outlier Detection and Removal\n",
    "\n",
    "In order to process our data we can opt to take out extreme values that are likely not due to experimental conditions. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Removed following Strains as Outliers:  [8, 1, 9]\n"
     ]
    }
   ],
   "source": [
    "if remove_outliers:\n",
    "    variables = ['Geraniol','Linalool','EtOH']\n",
    "    outlier_strains = []\n",
    "    for variable in variables:\n",
    "        frame = df[variable].loc[df[variable] != 0]\n",
    "        log_values = np.array([math.log(value) for value in frame.values])\n",
    "        outlier_strains  += list(frame.loc[is_outlier(log_values)].index.values)\n",
    "\n",
    "    outlier_strains = list(set(outlier_strains))\n",
    "    print('Removed following Strains as Outliers: ',outlier_strains)\n",
    "\n",
    "    df = df.drop(outlier_strains)\n",
    "    #display(df)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Initial Correlation Analysis\n",
    "\n",
    "We look at the raw correlations in the data to get a basic understanding of the linear relationships present in the data."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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rnuVpa8pTGHNz83w72qpUqnyPEXNzczRv3hyDBg3Kc/GlixF6+vTpgz59+iAt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u3bt3Pr1i2MjY3p06cPW7duld6+GhERwfr164mKiqJdu3YsW7ZM52kyNa1YsQIrKyv2799PcHAw\nTZo0wc7Ojn379mm9B6G+eXp6EhoaSmFhYZ1HjWvu5+TkREhIiNYo7t+PM23aNHr06EF0dDSxsbFU\nVFTQqVMnvLy88PLy0ttQeNcvTfon/q8ux/in073mfw4bNgyVSvXStAgKCmL16tWMHDmSdu3a4eHh\ngZGREVevXmXYsGFa+zo7OxMfH4+bmxsZGRksWbKEkJAQ5s2bx/Pnzxk6dCh79uyRRqtrXke1VY59\n+vQhJCSErVu3EhoaikKhYNOmTdLC+s2bN7N69Wo8PDwwNDTE1dVVWvi4dOlS6TyqqqoYMGAAO3fu\n1Bv3jSFuevTowbp169i2bRuBgYFYWlqyfv16aeRx9+7dBAUFMWbMGMzMzJg6dSozZsx4ZfzVpi5l\nVlJSkrR/ixYtCAwMZMOGDcTGxuLs7IyXl5f0JB07Ozv8/f3Ztm0bZWVl9O7dmx07dmBsbIyLiwv3\n799ny5YtlJWV0bNnT6KioujcuTPwolxcu3Yto0aNkjp+moWk69evZ82aNUybNg1DQ0M++eQTfH19\n3yrstQkKCiIoKEhn+/z58xk9ejSzZ8/G3d2d7OxsTExMiI2NZefOnaxatYrS0lLatWuHm5sb06dP\n1xooaeiXvL2qLq7LbzVeJx/4+PhQUVGBn58fjx8/pm/fvsTGxkp3TkNCQrTS18nJ6R97W3J91Mt9\n+/Zl9uzZBAQE8PTpU2xsbPD392fFihXcu3fvtc6vffv2REREEBISwp49e2jfvj3Lly/H3d39rcMu\n/PvJqhvTJG5BEARBEARBEBqlf/1UJUEQBEEQBEEQ3p7oOAiCIAiCIAiCUCvRcRAEQRAEQRAEoVai\n4yAIgiAIgiAIQq1Ex0EQBEEQBEEQhFqJjoMgCIIgCIIgCLUSHQdBEARBEARBEGolOg6CIAiCIAiC\nINRKdBwEQRAEQRAEQaiV6DgIgiAIgiAIglAr0XEQBEEQBEEQBKFW/wf59JIkmI/ZSgAAAABJRU5E\nrkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x111c01dd8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "protein_names = ['sp|Q8H2B4|LLOS_MENAQ mean',\n",
    "                 'sp|Q6USK1|GERS_OCIBA mean',\n",
    "                 'sp|P54839|HMCS_YEAST mean',\n",
    "                 'sp|P08524|FPPS_YEAST mean']\n",
    "protein_names = [h_names[protein_name] for protein_name in protein_names]\n",
    "promoter_names = ['Promoter tHMG1','Promoter FPPS','Promoter LIS','Promoter GerS']\n",
    "production_values = ['Maltotriose', 'Maltose','Glucose','EtOH','Linalool','Geraniol']\n",
    "title = 'Significant (p<0.1) Pearson Correlation Coefficients Between Proteins and Metabolites'\n",
    "plot_corr(df[protein_names + production_values],title=title)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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IiPn777+NMca+vUNCQkxUVJTZvHmz+eqrr4zVajWzZ882xjw4bkJCQkzr1q3Nnj17zK1b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\nREQkIizSiIiIiIiIROT/ARSSIn05pjJrAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10d86c518>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "Ranks = [ 'Rank', 'Rank.1', 'Rank.2', 'Rank.3']\n",
    "Ranks = [h_names[Rank] for Rank in Ranks]\n",
    "scaled_df = df.copy(deep=True)\n",
    "for name in protein_names:\n",
    "    scaled_df[name] = scaled_df[name].apply(math.log)\n",
    "#display(scaled_df[protein_names])\n",
    "\n",
    "plot_corr(scaled_df[protein_names + Ranks].iloc[0:30],title='Significant (p<0.1) Pearson Correlation Coefficients Between Proteins and Promoters')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Promoter Rank Increase Decreases Protein Counts.** For most of the proteins have their counts influenced by the promoter rank. LIS is most strongly correlated to its promoter rank.\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Model Generation and Analysis\n",
    "\n",
    "Here we analyze three models and look at how predictive they are.  The models developed and analyzed are a linear model, a gaussian regressor, and a kinetic model. These will be described in detail in their respective sections. The gaussian regressor model contains no biological intuition and is akin to a sophisticated interpolation scheme. The linear model incorportates two peices of biological intution gleened from the data and experimentalists and uses them to create a heuristic model that performs moderately and extrapolates well. The kinetic model is a detailed Michalis Menten based model which uses in vitro kinetic coefficients from the literature where available. This model incorporates the most biological intuition and almost strictly is derived from the literature."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "def r2str(df):\n",
    "    '''Convert Promoter Number to relative strength.'''\n",
    "    return -1*df/17 + 1\n",
    "\n",
    "#Define Test Data\n",
    "if promoters:\n",
    "    test_data = df[['Linalool','Geraniol','Promoter FPPS','Promoter LIS','Promoter GerS','Promoter tHMG1']]\n",
    "    #Convert Promoter values to amplitudes (higher is more expression)\n",
    "    for promoter in promoter_names:\n",
    "        test_data[promoter] = r2str(test_data[promoter])*1000\n",
    "        #display(test_data[promoter].apply(r2str)*1000)\n",
    "    #display(test_data)\n",
    "    test_data = test_data.values\n",
    "\n",
    "else:\n",
    "    test_data = df[['Linalool','Geraniol','FPPS','LIS','GerS','tHMG1']].values\n",
    "    #display(test_data)\n",
    "    \n",
    "report = {}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Gaussian Regressor Model\n",
    "The gaussian regressor model is implemented in Scikit Learn and is the most 'off the shelf' of the models we used. Standard best practices for machine learning were used to validate and build the model.  This model uses no biological intuition and is conceptually simmilar to an interpolation scheme.  As this experiment was in vivo, is that the data may be influenced by more variables than what is intuitively able to be captured with biological intuition.  Our thinking was that an unconstrained model may perform better than those constrained by a limited biological intuition. With large data sets this appears to become more true. However, with small data sets models which include more biological intuition perform better. Like all of the models analyzed, it was validated useing leave one out cross validation on the first cycle of data."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false,
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Residual Mean:  -0.01065437229773214  Residual Standard Deviation:  0.7327355700131791\n",
      "90% of the predictions are within  1.2053500126716796  of the actual value.\n"
     ]
    },
    {
     "data": {
      "image/png": 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btWjRQmFhYapUqZLZsYo8ii4AAHbgiNME/P0bKDZWGj16nFJSPOXrm67Bg69e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\nVwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x112f6f6a0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Residual Mean:  0.07599621108895731  Residual Standard Deviation:  1.3216945583701518\n",
      "90% of the predictions are within  2.1741875485189  of the actual value.\n"
     ]
    },
    {
     "data": {
      "image/png": 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K696qUrgL2/arr77CqFGjMGHCBPTv3x9yuRyrVq3CpUuXFPNE81dg8PX1xdixY5Gbm4sF\nCxbAwMDgjc81cOBARERE4PPPP8fYsWNhbm6ONWvWICcnR3GCnKmpKRISEhAXF4eWLVvCx8cHO3bs\nwCeffIJPP/0UVatWxe7du7FlyxZMnjwZwKvS3blzZ0ydOhUpKSmwtrZGREQEUlNTYWFh8dbvwYcf\nfogvvvgCeXl5SkU3/6P9iRMnwt/fH9WrV8fx48eRmJiomIKQnZ2NhIQE1KxZ840rPGzduhXNmjWD\njY1NgfsMDQ3Rq1cvbNu2DXfv3kX37t3RqlUrBAYGYty4cahbty5iYmJw8+ZNfP/99wCAKlWq4Pz5\n8zh16hSaNm2KDh06wNjYGEFBQfjiiy/w/PlzLFq0SGkKRP6JazNnzsSgQYPw9OlTrF+/HteuXQMA\npU9DiEj9eESXiN5Jz549sWPHDjg5OWHLli3w9/fH2LFjERsbi759+2L37t1Ka6YGBQXBx8cHGzdu\nhJ+fH5YvX45+/fph1apVSh9/v75sk7u7O8aMGYO9e/di5MiRCAsLg4ODA7777jukpaUpjlYW96pc\n/91mzpw58Pf3x86dOzFy5EhERUVhxIgRSqsfFJapqH2q8vz5OnfujPDwcMhkMnz55ZcIDAyEvr4+\nfvnlF0Vhqlq1KtavX4+6deti0qRJ+OGHHzB8+HClE9vy95//HJUrV8a6devQqlUrzJ49G+PHj4co\nioiIiFCcxObr64uUlBT4+fnhypUrqFGjBqKiolCnTh3MmDEDo0ePxuXLlzFnzhx4eXkpnmfx4sXo\n378/Fi1ahK+++gq1atXCkCFDivU96NatG6pUqYKWLVsqrd5hYGCAVatWoVGjRpgzZw78/Pxw8OBB\nzJw5U7Eu86NHjzBkyJA3rlxw8eJFJCUlFToNJJ+bmxtEUcSmTZugo6OD8PBw9OzZE6GhoRgzZgzu\n3LmDVatWoXnz5gBerZKhp6eHkSNH4tixYzAxMcGiRYsgl8vh7++PRYsWwd/fHy1atFA8h4ODA779\n9lucP38eI0eOVKwasmjRIgBQnICpiVeTI9IGgvgun/kREREREWkoHtElIiIiIq3EoktEREREWolF\nl4iIiIi0EosuEREREWklLi/2H/b29sjOzi7WVX2IiIiIqOw9evQIBgYGSpeNfxMW3f/IysoqcIUb\nIiIiItIcubm5xV63nEX3P2rUqAEAiI2NlTgJERERERXGxcWl2Ntyji4RERERaSUWXSIiIiLSSiy6\nRERERKSVWHSJiIiISCux6BIRERGRVmLRJSIiIiKtxKJLRERERFqJRZeIiIiItBKLLhERERFpJRZd\nIiIiItJKLLpEREREpJVYdImIiIhIK7HoEhEREZFWYtElIiIiIq3EoktEREREWolFl4iIiIi0Urko\nuiEhIejYsSMcHR0xd+7cIredPXs27Ozs8N577yn+u27dujJKSkRERESaQk/qAG+zatUq7Nq1C0uW\nLEFOTg4mTJiA6tWrw8fHp9Dtk5KSMGHCBLi7uyvGTExMyiouEREREWkIjT+iGxERgXHjxqFNmzZw\ncHDAhAkTEBkZ+cbtb9y4gaZNm8LCwkLxZWhoWIaJiYiIiEgTaHTRffjwIR48eAB7e3vFWLt27XD/\n/n2kpKQU2P758+eQyWSoX79+GaYkIiIiIk2k0UX30aNHEAQBNWrUUIxVr14doiji77//LrB9UlIS\nBEHA0qVL0a1bN3z44YeIiYkpy8hEREREpCEkn6OblZUFmUxW6H0ZGRkAAAMDA8VY/p+zs7MLbJ+U\nlAQdHR3Y2trCy8sLZ86cwbRp02BiYgJXV9dSSE9EREREmkryonvhwgV4e3tDEIQC902YMAHAq1L7\nesE1NjYusL2bmxucnZ1RpUoVAEDjxo1x69YtREVFsegSERERVTCSF10HBwckJiYWet/Dhw8REhKC\nlJQUWFtbA/h3OoOlpWWhj8kvufkaNmyI06dPqzc0EREREWk8jZ6jW6NGDdSqVQtnz55VjMXHx6NW\nrVqoXr16ge1DQ0MLLDuWkJCABg0alHpWIiIiItIskh/RfZuhQ4ciJCQEVlZWEEURP/30E3x9fRX3\np6amwsjICJUqVYKTkxOWL1+O1atXw9XVFceOHcP27dsREREh4SsgIiIiIilofNH18/PDkydPMHbs\nWOjo6GDw4MEYMWKE4n4PDw8MHDgQ/v7+aNGiBUJDQ7Fw4UIsXLgQtWvXxrx589CyZUsJXwERERER\nSUEQRVGUOoSmcHFxAQDExsZKnISIiIiICqNKX9PoObpERERERCXFoktEREREWolFl4iIiIi0ksaf\njEZERKQt4uOvIChoL2QyI1hZZSIwsDfs7ZtJHYtIa7HoEhERlYH4+CsYNOgEkpO/AiAAEBEXF47o\naLDsEpUSTl0gIiIqA0FBe5Gc7IdXJRcABCQn+yE4eK+UsYi0GosuERFRGZDJjPBvyc0n/DNORKWB\nRZeIiKgMWFllAnh96Xrxn3EiKg0sukRERGUgMLA3bGzC8W/ZFWFjE46AgN5SxiLSajwZjYiIqAzY\n2zdDdDQQHDwfMpkhrKwyERDAVReIShOLLhERURmxt2+GzZtZbInKCqcuEBEREZFWYtElIiIiIq3E\noktEREREWolFl4iIiIi0EosuEREREWklFl0iIiIi0kosukRERESklVh0iYiIiEgrsegSERERkVZi\n0SUiIiIircSiS0RERERaiUWXiIiIiLQSiy4RERERaSUWXSIiIiLSSiy6RERERKSVWHSJiIiISCux\n6BIRERGRVmLRJSIiIiKtxKJLRERERFqJRZeIiIiItBKLLhERERFpJRZdIiIiItJKLLpEREREpJVY\ndImIiIhIK7HoEhEREZFWYtElIiIiIq3EoktEREREWolFl4iIiIi0EosuEREREWmlclV0fX19ERMT\nU+Q2d+/ehY+PD9q0aYN+/frh+PHjZZSOiEizxMdfgYfHPLz//mJ4eMxDfPwVqSMREZWpclF0RVHE\nrFmzcOLEibduO2bMGNSoUQPR0dEYMGAA/P398ffff5dBSiIizREffwWDBp1AdPRX+P33MYiO/gqD\nBp1g2SWiCkXji65MJsOIESNw6NAhVKlSpchtT548iTt37mDmzJlo2LAhRo4cidatW2PLli1llJaI\nSDMEBe1FcrIfAOGfEQHJyX4IDt4rZSwiojKl8UX36tWrsLa2xtatW1G5cuUit7148SKaNWsGQ0ND\nxVi7du1w/vz50o5JRKRRZDIj/Fty8wn/jBMRVQx6Ugd4GycnJzg5ORVr20ePHqFGjRpKYxYWFpDJ\nZKURjYhIY1lZZQIQoVx2xX/GiYgqBsmLblZW1huLqKWlJYyNjYu9r5cvX8LAwEBpzMDAANnZ2e+U\nkYiovAkM7I24uPD/TF8QYWMTjoCA3lJHIyIqM5IX3QsXLsDb2xuC8PpHbEBYWBhcXFyKvS9DQ0Ok\npaUpjWVnZ8PIiB/VEVHFYm/fDNHRQHDwfMhkhrCyykRAQG/Y2zeTOhoRUZmRvOg6ODggMTFRLfuy\nsrLC9evXlcZSUlJgaWmplv0TEZUn9vbNsHkziy0RVVwafzKaKlq1aoWrV68qTVU4e/YsWrduLWEq\nIiIiIpJCuS+6qampyMjIAPDq6HCtWrUQGBiI69evY/ny5bh06RI8PDwkTklEREREZa1cFd3C5vF6\neHhg1apVAAAdHR0sWbIEjx49wqBBg7Bjxw4sXrwYNWvWLOuoRERERCQxyefoqiI2NrbA2MGDB5Vu\n161bFxEREWUViYiIiIg0VLk6oktEREREVFwsukRERESklVh0iYiIiEgrsegSERERkVZi0SUiIiIi\nrcSiS0RERERaiUWXiIiIiLQSiy4RERERaSUWXSIiIiLSSiy6RERERKSxZDJZiR/LoktEREREGuf+\n/fuYO3cuRo4cib/++qtE+2DRJSIiIiKN8fjxYyxZsgSjR4/GsWPHIIoiNm7cWKJ96ak5GxERERGR\nytLT0xEdHY1du3YhOzsbAKCnp4fevXvjo48+KtE+WXSJiIiISFKnTp3CggULkJGRAQAQBAHdu3fH\nxx9/DCsrqxLvl0WXiIiIiCRVr149ZGVlAQA6dOgAT09P2NjYvPN+WXSJiIiISFK1atWCn58fbG1t\nYWdnp7b9sugSERERkeT69u2r9n1y1QUiIiIiKlUXLlzAkydPyvx5eUSXiIiIiErFX3/9hbVr1+LC\nhQv44IMP8Nlnn5Xp87PoEhEREZFa3blzB5GRkTh58qRi7PTp0/Dx8YGhoWGZ5WDRJSIiIiK1ePjw\nIaKionDo0CHk5eUBAIyNjeHu7o4BAwaUackFWHSJiIiISA3u378Pf39/5ObmAgD09fXRt29feHh4\noEqVKpJkYtElIiIiondmbW2Npk2b4vLly3B1dcWQIUNgaWkpaSYWXSIiIiJSi1GjRkFHRwe1a9eW\nOgoAFl0iIiIiUpO6detKHUEJ19ElIiIioiLl5eXh2LFjOHLkiNRRVMIjukRERERUKFEUce7cOURE\nRCApKQlmZmZwcHCAsbGx1NGKhUWXiIiIiAq4evUq1q5di6tXryrGjI2NIZPJUL9+femCqYBFl4iI\niIgUbt68icjISMTFxSnGzM3NMWTIEPTo0QP6+voSplMNiy4RERERAXg1F/eHH37A33//DQCoXLky\nPDw80K9fvzK/2IM6sOgSEREREQBAR0cHw4YNw5IlS9C/f38MHDgQJiYmUscqMRZdIiIiIlLo2rUr\nWrduDXNzc6mjvDMWXSIiogogPv4KgoL2QiYzgpVVJgIDe8PevpnUsUgD6erqakXJBVh0iYiItF58\n/BUMGnQCyclfARAAiIiLC0d0NFh2K5CcnBzs27cP586dw9SpU6Gjo/2XU2DRJSIi0nJBQXv/U3IB\nQEBysh+Cg3/C5s0sutpOLpfj6NGjWL9+PWQyGQDgxIkT6NKli8TJSh+LLhERkZaTyYzwb8nNJ/wz\nTtpKFEWcPn0akZGRSE5OVow3atRIa6YmvA2LLhERkZazssoEIEK57Ir/jJM2unz5MtasWYM///xT\nMVa7dm14enqiU6dOEITXf/HRTiy6REREWi4wsDfi4sKRnOyH/Dm6NjbhCAjoLXU0KiXnz59XlNzq\n1atj6NChcHFxga6ursTJyhaLLhERkZazt2+G6GggOHg+ZDJDWFllIiCAqy5oM3d3dxw/fhy9evXC\nBx98AAMDA6kjSYJFl4iIqAKwt2/GE88qkMqVK2Px4sUVYmWFopSrV+/r64uYmJgit5k9ezbs7Ozw\n3nvvKf67bt26MkpIREREVPpevnz51m0qeskFyskRXVEUMXv2bJw4cQL9+/cvctukpCRMmDAB7u7u\nirHyfOk6IiIionwZGRmIiYnB9u3bMWfOHDRs2FDqSBpN46u+TCbDiBEjcOjQIVSpUuWt29+4cQNN\nmzaFhYWF4svQ0LAMkhIRERGVjuzsbMTExOD//u//sGHDBmRkZCAyMlLqWBpP44/oXr16FdbW1ggN\nDcXAgQOL3Pb58+eQyWSoX79+2YQjIiLSErxEsGaSy+WIjY3Fhg0bkJKSohhv3bo1hg0bJmGy8kHj\ni66TkxOcnJyKtW1SUhIEQcDSpUtx9OhRVK1aFT4+PnBzcyvllEREROUXLxGsmRISEhAaGop79+4p\nxho3bgxvb2+0bNlSwmTlh+RFNysrS3E5utdZWlrC2Ni42PtKSkqCjo4ObG1t4eXlhTNnzmDatGkw\nMTGBq6uruiITERFpFV4iWDOZmpriwYMHAAAbGxt4enrC0dGxwlzsQR0kL7oXLlyAt7d3of/TwsLC\n4OLiUux9ubm5wdnZWTGXt3Hjxrh16xaioqJYdImIiN6AlwjWTHXq1MHgwYNRq1YtdO3atcJd7EEd\nJC+6Dg4OSExMVNv+Xj9hrWHDhjh9+rTa9k9ERKRteIlgzfXxxx9LHaFc0/hVF1QRGhoKHx8fpbGE\nhAQ0aNBAokRERESaLzCwN2xswvGq7AK8RHDZ+Pvvv5Geni51DK0m+RHdd5WamgojIyNUqlQJTk5O\nWL58OVavXg1XV1ccO3YM27dvR0REhNQxiYiINBYvEVy2njx5go0bN+K3335D37594evrK3UkrVWu\nim5h83go+2UMAAAgAElEQVQ9PDwwcOBA+Pv7o0WLFggNDcXChQuxcOFC1K5dG/PmzeOZiURERG/B\nSwSXvufPn2Pr1q3YsWMHsrKyAAC//fYbhg0bhkqVKkmcTjuVq6IbGxtbYOzgwYNKt52dneHs7FxW\nkYiIiIiKlJWVhR07diA6OhovXrwA8OrgXdeuXVlyS1m5KrpERERE5cnjx4/x9ddfIzU1VTHWvn17\neHp68hyiMsCiS0RERFRKqlWrhpo1ayI1NRVNmzaFt7c3mjZtKnWsCoNFl4iIiKiUCIIAPz8/pKWl\noW3btrzYQxlj0SUiIiIqRY0aNZI6QoWlVevoEhEREZWlGzdu4OzZs1LHoDfgEV0iIiIiFd27dw/r\n1q3D77//jmrVquHnn3+GoaGh1LHoNSy6RERERMWUkpKCDRs24MCBA8jLywMAZGRk4MaNGzzJTAOx\n6BIRERG9RXp6OrZs2YJdu3YhJycHAKCnp4c+ffrgo48+QtWqVSVOSIVh0SUiIiIqgiiKmDJlCm7f\nvg0A0NHRgZOTE4YNG4YaNWpInI6KwqJLREREVARBEDBgwAAsWrQIHTt2xPDhw2FjYyN1LCoGFl0i\nIiKit3B2dkbDhg1ha2srdRRSAZcXIyIiInoLXV1dltxyiEWXiIiIKrTz589j8eLFEEVR6iikZpy6\nQERERBXSn3/+iYiICFy8eBEA0K5dO3To0EHiVKROLLpERERUoSQnJyMyMhKnTp1SjJmZmSE7O1vC\nVFQaWHSJiIioQpDJZFi/fj0OHz6smKZQqVIluLu7Y8CAATA2NpY4Iakbiy4RERFVCHv37sWhQ4cA\nAAYGBujbty8GDRqEKlWqSJyMSguLLhEREVUIgwYNwv79+9GpUycMGTIEFhYWUkeiUsaiS0RERBWC\niYkJVqxYwSkKFQiXFyMiIiKtkJeX99ZtWHIrFhZdIiIiKtfy8vJw5MgRjBkzBrdv35Y6DmkQTl0g\nIiKickkURcTHxyMyMhI3b94EAERGRmLKlCkSJyNNwaJLRERE5c6VK1cQERGBq1evKsZq1qyJLl26\nSJiKNA2LLhEREZUb9+7dw8qVKxEfH68Yq1atGoYOHQpXV1fo6bHa0L/4t4GIiIjKDblcjrNnzwJ4\ntYrCoEGD0K9fPxgaGkqcjDQRiy4RERGVGzY2NujTpw9MTEzg5uYGExMTqSORBmPRJSIionLls88+\nkzoClRNcXoyIiIg0xsuXL5GRkSF1DNISLLpEREQkuZycHOzYsQMjR47Epk2bpI5DWqJYUxdiYmKK\nvUM3N7cShyEiIqKKRS6X4/Dhw4iKisLDhw8BADt37oS7uzvMzMwkTkflXbGKbmBgYLF2JggCiy4R\nERG9lSiKOHXqFCIjI3Hnzh3FeKNGjeDt7c2SS2pRrKKbmJhY2jmIiIiogkhPT8fMmTNx7do1xVid\nOnXg6emJjh07QhAECdORNinxqgs3btzAtWvXoK+vD1tbWzRo0ECduYiIiEhLmZqaKsqspaUlhg0b\nBicnJ+jq6kqcjLSNykU3KysLX3/9NQ4cOKAYEwQBTk5OWLBgAQwMDNQakIiIiLSLIAjw8fHB9evX\n0adPH+jr60sdibSUyqsuzJ8/HxcvXsTixYsRFxeH06dPY9GiRbh69SoWLVpUGhmJiIhIyzRt2hQD\nBgxgyaVSpXLR3blzJ7777ju4uLjA1NQUZmZmcHV1xfTp07Fjx47SyEhERETlyNOnT3l+D2kElacu\nvHjxAg0bNiww3qBBA6SmpqolFBEREZU/L168QExMDH799VeYmJhg2bJlnNJIklL5iG7jxo2xd+/e\nAuN79uzhCWlEREQVUFZWFrZt24aRI0di48aNyMzMREpKCi5cuCB1NKrgVD6i+/nnn2P06NFISEhA\n27ZtIQgC4uPjsX//fsybN680MhIREZEGys3NxYEDB7Bx40Y8fvxYMd62bVt4eXnB1tZWwnREJSi6\n3bt3R2hoKJYvX47Dhw9DFEU0adIECxYsQM+ePUsjIxEREWmg6dOn49KlS4rbdnZ28Pb2RvPmzSVM\nRfSvEq2j6+rqCldXV3VnKdSzZ88QFBSEw4cPIy8vD927d8fkyZNhampa6PZ3797FtGnTcP78edSu\nXRuTJk1C586dyyQrERFRRfL+++/j0qVLqFevHry8vNC+fXte7IE0SrGKblhYGHx9fWFsbIywsLAi\nt/X391dLsHzffvst7t69ixUrVkAQBEyfPh3Tpk3DggULCt1+zJgxsLOzQ3R0NA4cOAB/f3/s2bMH\nNWvWVGsuIiKiis7V1RUmJibo2LEjL/ZAGqlYRXfr1q0YPnw4jI2NsXXr1jduJwiCWovuy5cvsX//\nfkRFRaFp06YAgMmTJ8PT0xPZ2dkFzuQ8efIk7ty5g02bNsHQ0BAjR47EyZMnsWXLFrUXcCIioopO\nT08PXbp0kToG0RsVq+gePHiw0D+XNh0dHSxbtgx2dnaKMVEUIZfLkZGRUaDoXrx4Ec2aNYOhoaFi\nrF27djh//nyZZSYiItIGDx48wJEjRzBkyBBOR6Byq0RzdAEgJSUFOTk5EEVRadza2vqdQ+UzNDQs\n8Jvi2rVr0aRJE1StWrXA9o8ePUKNGjWUxiwsLCCTydSWiYiISJs9fvwYGzduxP79+yGXy9GoUSPY\n29tLHYuoRFQuuufOncOkSZOQnJysNC6KIgRBQEJCgkr7y8rKemMRtbS0hLGxseJ2ZGQk9u3bh5Ur\nVxa6/cuXLwsc5TUwMEB2drZKmYiIiCqaZ8+eITo6Gjt37lT83NTV1cWdO3dYdKncUrnozp49G5aW\nlvjmm29QpUqVdw5w4cIFeHt7F/qxSFhYGFxcXAAA69atw/fff48pU6agY8eOhe7L0NAQaWlpSmPZ\n2dkwMjJ655xERETaKDMzE9u3b8e2bdvw4sULAK/OuenWrRs+/vhjnsxN5ZrKRfevv/5CTEyM2haB\ndnBweOv1sFeuXIm5c+ciMDAQnp6eb9zOysoK169fVxpLSUmBpaWlWrISERFpmy1btmDTpk2K2w4O\nDvD09ET9+vWlC0WkJioX3Vq1ail+4ysL27ZtQ0hICKZMmQIvL68it23VqhVWrFihtCLD2bNn+ZEL\nERHRG/Tv3x87duyAra0tvL29lU4AJyrvdFR9wOeff445c+bgzz//RE5OTmlkUkhLS8OsWbPg5uaG\nPn36ICUlRfGVl5cHAEhNTUVGRgaAV7+F1qpVC4GBgbh+/TqWL1+OS5cuwcPDo1RzEhERlVdmZmZY\nuHAhvv/+e5Zc0joqH9FdunQp7t+/Dzc3t0LvV/VktKIcP34cL1++RExMDGJiYgD8e9JbbGwsrK2t\n4eHhgYEDB8Lf3x86OjpYsmQJJk+ejEGDBsHGxgaLFy/m/CIiIqIi8OckaStBfH19sLfYtm1bkfe7\nu7u/UyAp5Z/4FhsbK3ESIiKid3f9+nWsW7cOvr6+qFOnjtRxiNRClb6m8hHd8lxkiYiIKoK7d+8i\nMjISJ06cAAAYGRkhICBA4lREZa9EF4yIjY3FtWvXIJfLFWPZ2dm4dOkSVq9erbZwREREVHyPHj1C\nVFQUDh48qDiXxdjYGDY2Noqpf0QVicpFNyQkBOHh4ahevToeP34MKysrpKSkQC6Xo2/fvqWRkYiI\niIqQnp6OzZs3Y/fu3YoTxfX09NC3b194eHjAzMxM4oRE0lC56O7YsQOTJ0+Gt7c3unXrhvXr16NS\npUoYM2YM6tatWxoZiYiIqAgpKSn49ddfAQA6OjpwdnbGsGHDuI48VXgqLy/2+PFjODs7AwCaNGmC\nixcvomrVqhg/fjx2796t9oBERERUtIYNG6Jr167o1KkTwsLC8MUXX7DkEqEER3SrVKmiWLfWxsZG\ncSUya2tryGQy9aYjIiKiYhk/fjx0dXWljkGkUVQ+ouvo6IiQkBDIZDK0atUKe/fuRWpqKvbt24dq\n1aqVRkYiIqIKLS8v760XaWLJJSpI5aI7ceJEPHz4EHv27EGvXr1gYGCAzp0748cff8SIESNKIyMR\nEVGFJIoizp07h6+//hobN26UOg5RuaPy1IWcnBzExMQgKysLBgYGWLduHX7//XdYWVmhZcuWpZGR\niIjojeLjryAoaC9kMiNYWWUiMLA37O2bSR3rnSUmJiIiIgKXLl0C8Gpt3L59+8Lc3FziZETlh8pF\nd/jw4Vi8eLGi1BobG6NHjx5qD0ZERPQ28fFXMGjQCSQnfwVAACAiLi4c0dEot2X39u3biIiIwJkz\nZxRjVatWxeDBg2FiYiJhMqLyR+Wiq6+vDz29El1ngoiISK2Cgvb+p+QCgIDkZD8EB/+EzZvLV9F9\n+fIlli1bhsOHD0MURQBA5cqV4e7ujgEDBsDIyEjihETlT4kuAezn54cPP/wQ9erVK/APz83NTW3h\niIiIiiKTGeHfkptP+Ge8fDEyMsKdO3cgiiIMDAzQv39/DBw4EKamplJHIyq3VC66ixcvBoBCL/Ur\nCAKLLhERlRkrq0wAIpTLrvjPePkiCAK8vb1x8uRJDB48GBYWFlJHIir3VC66iYmJpZGDiIhIZYGB\nvREXF47kZD/kz9G1sQlHQEBvqaOVSOvWrdG6dWupYxBpjRJPtr1//z5u3LiB9u3b48WLF/zNk4iI\nypy9fTNERwPBwfMhkxnCyioTAQGauepCTk4OHj58iNq1a0sdhajCULnoZmdnIyAgAHv27IGOjg72\n7duH4OBgPH/+HGFhYTwjlIiIypS9fTONPvEsLy8PR48exfr16yGKIpYsWQJ9fX2pYxFVCCpfMGLp\n0qVITEzEmjVrYGhoCADw8vJCcnIyQkJC1B6QiIioPBJFEWfOnMG4cePw008/4e+//4ZMJsPvv/8u\ndTSiCkPlortr1y5MmzYNjo6OijFHR0d8//33iI2NVWs4IiKi8ujy5csICAjA7Nmzcfv2bQCAtbU1\nvvnmG3Tr1k3idEQVh8pTF2QyGWxsbAqM16pVC2lpaWoJRUREVF4tWLAABw8eVNy2sLDA0KFD4eLi\nwnXoicqYykd0bW1tcfLkyQLju3btQqNGjdQSioiIqLzK/1loamoKHx8fLFu2DL169WLJJZKAyv/q\nxo4di/Hjx+P69euQy+XYtm0bbt68iX379mH+/PmlkZGIiKjc6NWrF7KystCnTx9UqlRJ6jhEFZrK\nR3SdnJwQGhqKy5cvQ1dXFytXrsSdO3cwf/589OrVqzQyEhERlRv6+voYNGgQSy6RBijR5yhdu3ZF\n165d1Z2FiIhIo2VkZODkyZNwcXGROorGi4+/gqCgvZDJjGBllYnAQM1c35i0m0pF98aNG7C1tQUA\nLF++HNnZ2Yr7WrZsyfJLRERaKTs7G3v27MGWLVuQlpYGCwsLXsGsCPHxVzBo0AkkJ3+F/CvWxcWF\nIzoaLLtUpopddL/99lts3rwZe/fuRb169bB06VJUqVIFurq6yMjIQG5uLvbu3Yvq1auXZl4iIqIy\nI5fLcfDgQURFRSElJUUxHhcXx6JbhKCgvf8puQAgIDnZD8HBP2n0xT1I+xSr6OYX3BUrVqBevXqK\n8cjISNStWxdpaWno378/oqKiMHbs2FILS0REVBZEUcTJkycRGRmJu3fvKsYbN24MLy8vtGrVSsJ0\nmk8mM8K/JTef8M84UdkpVtHdunUrxo0bhy5duijGBOHfv8BmZmbw9fXFr7/+yqJLRETl3tatW7Fm\nzRrF7bp168LLywuOjo5KP/+ocFZWmQBEKJdd8Z9xorJTrFUXrl27hs6dOyuNiaKodLtLly64efOm\n+pIRERFJxNnZGYaGhqhRowa+/PJLhIaGokOHDiy5xRQY2Bs2NuF4VXYBQISNTTgCAnpLGYsqoGId\n0c3Ly4O+vr7S2L59+5Tm4xoYGEBXV1e96YiIiCRgbm6OWbNmwdbWtsDPP3o7e/tmiI4GgoPnQyYz\nhJVVJgICuOoClb1iFd1atWrh2rVrqF27tmKsRo0aSttcvnwZderUUW86IiIiidjZ2UkdoVyzt2/G\nE89IcsWauuDk5ISff/4Zcrm80Ptzc3OxcuVK9OjRQ63hiIiI8sXHX4GHxzy8//5ieHjMQ3z8lRLt\n58mTJ1i+fDnu37+v5oREpGmKdUT3008/xa+//orhw4fjm2++Qdu2bRXzlC5evIiQkBCkpqbC29u7\nVMMSEVHFpI51WZ8/f46YmBhs374dmZmZePbsGb7++utSzU1E0ipW0bWwsMDq1asxYcIEDB8+HEZG\nRjAzM0NaWhqysrLQqFEjrFixAqampqWdl4iIKqB3WZc1KysLO3fuRHR0NJ4/f650n1wu5/klRFqs\n2BeM+N///oeYmBicOnUKcXFxSElJgbm5Odq1a4cuXbpAR6dYsyCIiIhUVpJ1WXNzc7F//35s3LgR\nqampinF7e3t4eXmhQYMGpROWiDSGSpcAFgQBHTt2RMeOHUsrDxERUQElWZf19u3bWLp0qeJ206ZN\n4e3tjaZNm5ZaTiLSLCoVXSIiIikEBvZGXFw4kpP9kD9H923rstra2qJTp0548OABvLy80K5dO66D\nS1TBsOgSEZHGK+m6rGPHjoWxsTGn1xFVUCy6RERULhS2LqsoikUepa1cuXJpxyIiDcZfcYmIqNy5\nf/8+5s6di40bN0odhYg0WLGO6MbFxRV7h+3bty9xGCIioqI8fvwYGzZswP79+5GXlwdjY2N88MEH\nqFKlitTRiEgDFavoenl5QRAEiKJY5HaCICAhIUEtwfI9e/YMQUFBOHz4MPLy8tC9e3dMnjz5jWv2\nzp49G5GRkYq8giBg6tSpGD58uFpzERFR2UlPT0d0dDR27dqF7OxsAICenh5cXFwkTkZEmqxYRTc2\nNra0c7zRt99+i7t372LFihUQBAHTp0/HtGnTsGDBgkK3T0pKwoQJE+Du7q4YMzExKau4RESkRjk5\nOdi6dSu2bduGjIwMAK8Oqjg5OWHYsGGwsrKSOCERabJiFd3atWsXa2dZWVnvFOZ1L1++xP79+xEV\nFaVY93Dy5Mnw9PREdnY2DAwMCjzmxo0b8PPzg4WFhVqzEBFR2dPV1cWJEycUJbdDhw7w9PSEjY2N\nxMk0T3z8FQQF7YVMZgQrq0wEBr59VQoibafyqgtPnjzBsmXLcO3aNcjlcgCvznrNycnB9evXER8f\nr7ZwOjo6WLZsGezs7BRjoihCLpcjIyOjQNF9/vw5ZDIZ6tevr7YM5RXf8IhIG+jo6MDT0xMxMTHw\n9vZGkyZNpI6kkeLjr2DQoBP/uUyyiLi4cERHg+/9VKGpXHS/++47nDx5Ep07d8bevXvRt29f3Lhx\nA1evXsVXX32l1nCGhobo0qWL0tjatWvRpEkTVK1atcD2SUlJEAQBS5cuxdGjR1G1alX4+PjAzc1N\nrbk0Hd/wiEib2Nvbw97enhd7KEJQ0N7/vOcDgIDkZD8EB/9UYEk2oopE5aJ78uRJBAcHo3v37vjz\nzz/h6+sLOzs7TJs2DdevX1c5QFZWFmQyWaH3WVpawtjYWHE7MjIS+/btw8qVKwvdPikpCTo6OrC1\ntYWXlxfOnDmDadOmwcTEBK6uripnK6/4hkdE5Ul6enqRqyaw4L6dTGYE5csjA4DwzzhRxaVy0X3x\n4oXio6OGDRsiMTERdnZ28PT0xMiRI1UOcOHCBXh7exf6RhYWFqY4o3bdunX4/vvvMWXKFHTs2LHQ\nfbm5ucHZ2Vnxhtm4cWPcunULUVFRFaro8g2PiMqDa9euISIiAg8fPsTixYuhp8drGJWUlVUmABHK\n7/3iP+NEFZfK7ypWVla4d+8eatWqhfr16+PPP/8EABgbGyMtLU3lAA4ODkhMTCxym5UrV2Lu3LkI\nDAyEp6dnkdu+flSgYcOGOH36tMq5yjO+4RGRJktOTkZkZCROnTqlGDt48CB69uwpYaryLTCwN+Li\nwpGc7If8KWs2NuEICOgtdTQiSalcdHv27IlJkyYhKCgInTp1wvjx49GqVSscOHAA9erVU3vAbdu2\nISQkBFOmTIGXl1eR24aGhuKPP/7A6tWrFWMJCQlo0KCB2nNpMr7hEZEmevjwIaKionDo0CHk5eUB\neHWQxN3dvcD5GKQae/tmiI4GgoPnQyYzhJVVJgICeBIykcpFd/z48cjNzcX9+/fRv39/9OzZE19+\n+SVMTU0RGhqq1nBpaWmYNWsW3Nzc0KdPH6SkpCjuq1atGnR0dJCamgojIyNUqlQJTk5OWL58OVav\nXg1XV1ccO3YM27dvR0REhFpzaTq+4RGRpomKisLmzZuRm5sLANDX10ffvn3h4eHBq5qpib19M56H\nQfQaQXzb5c6K4enTpzA1NYWurq46Mins3r0bX3/9tdJY/tXOYmNjYW1tDWdnZwwcOBD+/v4AXn38\ntXDhQty+fRu1a9fG+PHjiz0/N38+sJQXyCAi0kYxMTFYtWoVdHR04OrqiiFDhsDS0lLqWERUDqnS\n11QuunFxcUXe3759e1V2p1FYdImISkd2djbCw8Px4YcfFvsiREREhVGlr6k8dcHLywuCIOC//VgQ\nBAiCAB0dHVy+fFnVXRIRkZYzMDDA6NGjpY5BRBWMykX39fYsl8tx8+ZNLFy4EBMmTFBbMCIiKh/y\n8vJw+fJltGzZUuooRERKVC66hX3kZGNjAxMTE8yYMQM7duxQSzAiItJsoiji3LlziIiIQFJSEubM\nmYPmzZtLHYuISEFtq3Obm5vj9u3b6todERFpsISEBKxduxZXrlxRjO3Zs4dFl4g0ispFt7CT0Z4/\nf441a9bgf//7n1pCERGRZrp58yYiIyOVfhaYm5tjyJAh6NGjh4TJlMXHX0FQ0F7IZEawsspEYCCX\nWCSqiNRyMhrwakrDjz/+qLZgRESkWfbv34+wsDDF+3/lypUxaNAg9OvXD0ZGmnOJ8fj4Kxg06ASS\nk79C/kVz4uLCER0Nll2iCuadT0YDXi38XaNGDbUEIiIizdS2bVvo6+tDEAT0798fAwcOhImJidSx\nCggK2vufkgsAApKT/RAc/BMvqEBUwahcdMPCwjBlypQCb25Pnz7FlClTsHjxYrWFIyIizWFhYYEJ\nEyagSZMmMDc3lzrOG8lkRvi35OYT/hknooqkWEX37NmzuHPnDoBXV7dp1qxZgaJ748YNnDhxQv0J\niYhIY3To0EHqCG9lZZUJQIRy2RX/GSeiiqRYRVcQBAQGBir+PHv27ALbVKpUCb6+vupNR0REZSIn\nJwe//fYb7O3tYWVlJXWcdxIY2BtxceFITvZD/hxdG5twBAT0ljoaEZWxYhXdtm3bIjExEQBgZ2eH\n48ePw8LColSDERFR6ZPL5Th69CjWr18PmUyGv/76C19++aXUsd6JvX0zREcDwcHzIZMZwsoqEwEB\nXHWBqCJSeY5uYmIibt26hQcPHijWS1yzZg26d++OevXqqT0gERGpnyiKOH36NCIjI5GcnKwYv3Pn\nDnJycqCvry9hundnb9+MJ54REXRUfcCJEyfw4YcfYv/+/YqxXbt2wc3NDfHx8WoNR0RE6nfp0iVM\nnDgRc+bMUZTc2rVrY+LEiZg7d265L7lERPlUPqI7b948fPLJJxg/frxibNOmTfjpp58QEhKCDRs2\nqDUgERGpT3JyMqZMmaK4Xb16dQwdOhQuLi7Q1dWVMBkRkfqpXHRv3LiBBQsWFBj/6KOPEBERoZZQ\nRERUOmxsbODg4ICEhAQMHjwYffr0gYGBgdSxiIhKhcpFt1q1akhMTETdunWVxv/66y+YmpqqLRgR\nEZWOzz//HMbGxqhUqZLUUYiISpXKRdfNzQ0zZszA06dP0apVKwCv5nvNnz8f7u7uag9IRETqxVVz\niKiiULnojh49GqmpqZg5cyZyc3MhiiL09PTg5eWFUaNGlUZGIiIqhoyMDMTExMDU1BT9+/eXOg4R\nkeRULrp6enqYMWMGvvnmG9y8eRN6enoQBAGbNm2Cs7Mzzpw5Uxo5iYjoDbKzs7F7925s3rwZz549\nQ+XKleHk5FTgCpZERBWNykU3n76+PpKSkrBhwwb88ccfEAQBrq6u6sxGRERFkMvliI2NxYYNG5CS\nkqIYb9y4MV68eMGiS0QVnspF99atW9i4cSO2bduGp0+fQhAEDBw4EJ999lmBE9SIiEj9RFHE8ePH\nsW7dOty7d08x3qRJE3h7e6NFixYSpiMi0hzFKrq5ubnYv38/Nm7ciNOnT0NXVxddunRB3759MWnS\nJPj4+LDkEhGVkby8PGzYsEFRcm1sbODp6QlHR0cIgiBxOiIizVGsotu9e3c8f/4cjo6OmDVrFnr0\n6AEzMzMAQGBgYKkGJCIiZbq6uvD09ER4eDiGDx+Orl278mIPRESFKFbRffbsGSwsLGBtbY2qVavC\n2Ni4tHMREVERHB0d0a5dO16ul4ioCMUqusePH8fu3bsRHR2NqKgoVK5cGS4uLvjggw/4MRkRUSnI\nzc2Fnt6b36IFQWDJJSJ6C53ibGRiYoLBgwdj48aN2LVrFwYPHowTJ07gs88+g1wuxy+//IJbt26V\nclQiIu2XmpqKZcuW4euvv4ZcLpc6DhFRuSaIoiiW5IFyuRyHDx/Gtm3bcPjwYeTl5aFTp04IDw9X\nd8Yy4+LiAgCIjY2VOAkRVTTPnz/H1q1bsX37dmRnZwMAvvjiCy7bSET0GlX6WonX0dXV1YWLiwtc\nXFyQmpqKX3/9FVu3bi3p7oiIKqSsrCzs2LED0dHRePHiBYBX0xK6du2KZs2aSZyOiKh8K3HR/a9q\n1arBx8cHPj4+6tgdEVGFEBsbi7Vr1+LJkyeKsfbt28PT0xMNGjSQMBkRkXZQS9ElIiLVPX36VFFy\nmzVrBi8vLzRt2lTiVERE2oNFl4hIIv369cPly5fRr18/tG3blqvYEBGpGYsuEZFEDA0NMX36dKlj\nEBFprWItL0ZERKp78OCB1BGIiCo0Fl0iIjW7d+8efvzxR4waNQpXr16VOg4RUYXFoktEpCYpKSkI\nC3ytaSwAACAASURBVAvDmDFj8PvvvwMANm3aJHEqIqKKi3N0iYjeUXp6OjZv3ozdu3cjJycHAKCn\np4c+ffrgo48+kjgdEVHFxaJLRPQO4uLiEBISgpcvXwIAdHR04OTkhGHDhqFGjRoSpyMiqthYdImI\n3kH9+vUVR3E7duwIT09P1K1bV+JUREQEsOgSEb0TS0tLjBo1Cg0bNsT/t3fnYVGWCxvA7xmWAUFE\n2dxwV3BFxFTSYwKGihsKKihDmUanwjoafrkvZK5kanoQl/pkEUTJ1EQ7pHY8pakYIW6JqBcgCeKO\nLAPM+/3hcT4ndgXeWe7fdXklDw8zN/NcL9y9Pu87Xbt2FTsOERG9gEWXiOgVjRgxQuwIRERUCd51\ngepdcvIl+Pp+gb/9bQt8fb9AcvIlsSMRvRRBEJCSkoL8/HyxoxAR0UvQ+DO69+/fx7Jly3Dq1CmY\nmJjA29sbc+bMgVRaeUfPzs7G4sWL8fvvv6NNmzaYP38+Bg8e3Mip9Vdy8iX4+JxCZuYcABIAAs6d\n24GEBKB//55ixyOqtT/++AORkZFIS0uDp6cngoODxY5ERER1pPFFNyQkBBKJBPHx8Xjw4AFCQkJg\nYWGBoKCgSud/+OGHcHR0REJCAn788UcEBwfjyJEjaNmyZSMn10+rVx99oeQCgASZmTOxZs167N3L\nokuaLzMzE1FRUThz5oxqLDk5GcXFxTAxMRExGRER1ZVGF12FQgFra2vMmjVLdRXziBEjcP78+Urn\nnz59GllZWYiPj4dMJkNQUBBOnz6Nffv28WxMI8nNNcH/l9znJP8dJ9Jcubm52L17N3766ScIggAA\naNKkCSZMmIBx48ax5BIRaSGNLrrGxsZYu3at6uP09HQcP34cfn5+lc6/cOECevbsCZlMphpzcXHB\n77//3uBZ6Rk7u2IAAtTLrvDfcSLNdOfOHXzwwQcoKysD8Oxnz+jRo+Hj4wMLCwuR0xER0cvSmovR\n5HI5xo4dCwsLC0ydOrXSOXfv3q1wg3YrKyvk5uY2RkQCMG/eSLRrtwPPyi4ACGjXbgc+/XSkmLGI\nqtWyZUs4OTlBKpVi5MiRiIiIwPTp01lyiYi0nOhndEtKSqosojY2NjA1NQUALFq0CI8fP0ZoaChm\nz56N8PDwCvOLiopgbGysNmZsbAyFQlH/walS/fv3REICsGbNl8jNlcHOrhiffjqSF6KRxps5cyYk\nEglat24tdhQiIqonohfd1NRUBAYGQiL5675OYPPmzfDw8AAAODg4AABWrVoFX19f5OTkVPiFJJPJ\n8OjRI7UxhULBvXWNrH//nrzwjLROmzZtxI5ARET1TPSiO2DAAFy9erXSzxUUFCAxMRFeXl6qsS5d\nugAAHjx4UKHo2tnZ4fr162pj+fn5sLGxqefURKQtlEol/vOf/6CsrEz1P85ERKQfRC+61SkuLsac\nOXPQpk0bODk5AQAuXrwIQ0NDdOjQocJ8JycnbN++HQqFQrWF4fz58+jfv39jxiYiDSAIApKTkxEd\nHY2bN2+iadOmGDRoEMzMzMSORkREjUSjL0aztraGp6cnQkNDceXKFSQnJ2PRokWQy+WqX1b3799H\nYWEhgGdnh1u1aoV58+bh+vXr2LZtG9LS0uDr6yvmt0FEjezSpUuYN28ePvvsM9y8eRMAYGZmhry8\nPJGTERFRY9LoM7oAsHLlSqxatQrvvPMOAMDb2xuffPKJ6vO+vr6YOHEigoODIZVK8c9//hMLFiyA\nj48P2rVrhy1btvDNIoj0xI0bNxAVFaV2r+0WLVrAz88Pw4cPh6Ghxv/IIyKieiQRnt8ZnVT7944d\nOyZyEiKqK6VSieDgYGRnZwMAzM3N4ePjgzFjxqjdW5uIiLRbXfoaT28QkU6QSqWYOnUqNm7ciPHj\nx8Pb2xvm5uZixyIiIhGx6BKRznj99dfRq1cvWFpaih2FiIg0gEZfjEZEVBdSqZQll4iIVFh0iUjj\nlZaW4tChQ1i8eDGUSqXYcYiISEtw6wIRaazy8nL89NNPiI2NVd0a7OTJkxg2bJi4wYiISCuw6BKR\nxhEEAb/++iuio6ORlZWlGu/SpQvf6ZCIiGqNRZeINEpaWhp27dqFa9euqcbatm2LgIAAuLq6QiKR\niJiOiIi0CYsuEWmUS5cuqUqujY0N/P394ebmBgMDA5GTERGRtmHRJSKNMn78ePzyyy948803MWrU\nKBgZGYkdiYiItBSLLhFpFFNTU2zatIlbFIiI6JXx9mJE1KgKCwtrnMOSS0RE9YFFl4gaxdOnTxET\nE4Pp06cjPT1d7DhERKQHWHSJqEGVlJRg//79CAoKwp49e1BUVISoqCixYxERkR7gHl0iahBlZWX4\n8ccfsWfPHty7d0813q9fP8jlchGTERGRvmDRJaJ6d/XqVWzYsAE5OTmqMUdHRwQGBqJXr14iJiMi\nIn3CoktE9c7S0hK5ubkAgPbt2yMwMBD9+/fnRWZERNSoWHSJqN61bNkS/v7+sLW1xdChQyGV8nIA\nIiJqfCy6RNQgJk+eLHYEIiLSczzNQkR19ueff+Lhw4dixyAiIqoWiy4R1dq9e/fwz3/+Ex988AHi\n4uLEjkNERFQtbl0goho9efIECQkJ+P7776FQKAAAx48fR0BAAMzNzUVOR0REVDkWXSKqUnFxMQ4e\nPIj9+/fj6dOnAJ69Pe+wYcPg7+/PkktERBqNRZeIKvXgwQN8/PHHantxBw4ciICAALRv317EZERE\nRLXDoktElWrevDnat2+Phw8fonfv3pDL5XB0dBQ7FhERUa2x6BJRld555x08fPgQffv25Zs9EBGR\n1mHRJaIqdezYUewIREREL423FyPSU+np6fj111/FjkFERNRgeEaXSM9kZ2cjOjoap06dQrNmzeDk\n5ARTU1OxYxEREdU7Fl0iPXH37l3Exsbi+PHjUCqVAACFQoGMjAz06tVL5HRERET1j0WXSMc9evQI\ne/fuRWJiIsrKygAARkZG8PLywqRJk2BhYSFyQiIioobBokukwwRBwJIlS3Dz5k0AgFQqhYeHB/z8\n/GBjYyNyOiIioobFokukwyQSCSZMmID169dj8ODBmDZtGtq2bSt2LCIiokbBokuk44YOHYr27dvz\nVmFERKR3eHsxIh0nlUpZcomISC+x6BJpKUEQ8Ntvv2HDhg2quygQERHR/+PWBSItdPXqVURGRuLi\nxYsAgP79+2PIkCEipyIiItIsLLpEWuTWrVuIjo7G2bNnVWOWlpY8o0tERFQJFl0iLXDnzh3ExMTg\n5MmTEAQBAGBmZoaJEydi7NixMDExETkhERGR5mHRJdICx44dw7///W8AgLGxMcaOHQsfHx+Ym5uL\nnIyIiEhzsegSaQFvb2/861//gqurKyZPnowWLVqIHYmIiEjjaXzRvX//PpYtW4ZTp07BxMQE3t7e\nmDNnDqTSym8YsWLFCkRHR0MikUAQBEgkEixatAjTpk1r5ORE9cfMzAzbtm2DTCYTOwoREZHW0Pii\nGxISAolEgvj4eDx48AAhISGwsLBAUFBQpfNv3LiBkJAQTJgwQTXGf94lTVdeXg4DA4Nq57DkEhER\n1Y1G30dXoVDA2toay5YtQ6dOneDi4oIRI0bg/PnzVX5NRkYGevToASsrK9UfFgTSVOXl5Thx4gTe\nf/99ZGRkiB2HiIhIp2h00TU2NsbatWthb28PAEhPT8fx48cxcODASucXFBQgNzcXHTp0aMSURHUn\nCALOnj2Lf/zjH/jyyy9x584dREdHix2LiIhIp2j81oXn5HI5zp07h169emHq1KmVzrlx4wYkEgnC\nw8Nx8uRJWFpaYvr06fD29m7ktERVu3jxIiIjI3H16lXVWOvWreHu7q7aV05ERESvTvSiW1JSgtzc\n3Eo/Z2NjA1NTUwDAokWL8PjxY4SGhmL27NkIDw+vMP/GjRuQSqXo3Lkz5HI5zp49i8WLF8Pc3BzD\nhw9v0O+DqCbZ2dnYvn07UlJSVGNWVlbw8/ODh4cHDA1FPxyJiIh0iui/WVNTUxEYGFjpWazNmzfD\nw8MDAODg4AAAWLVqFXx9fZGTk4PWrVurzff29oa7uzssLCwAAN26dcOtW7cQGxvLokuik0gkSE1N\nBQA0bdoUvr6+8PLy4h5yIiKiBiJ60R0wYIDaP+G+qKCgAImJifDy8lKNdenSBQDw4MGDCkUXgKrk\nPtepUyecOXOmHhMTvZw2bdqo3sXM29sbZmZmYkciIiLSaaIX3eoUFxdjzpw5aNOmDZycnAA8299o\naGhY6QVnmzZtQkpKCr755hvV2JUrV9CxY8fGikxUrRkzZogdgYiISG9o9F0XrK2t4enpidDQUFy5\ncgXJyclYtGgR5HK56mzY/fv3UVhYCABwc3PDuXPn8M033yArKwu7d+/GwYMHMXPmTDG/DdIThYWF\nKCgoEDsGERER/ZdGF10AWLlyJRwdHfHOO+9g1qxZcHNzwyeffKL6vK+vL77++msAQO/evbFp0yZ8\n9913GDt2LGJiYvDFF1+gT58+YsUnPaBQKHDgwAEEBQUhNjZW7DhERET0XxJBEASxQ2iK5xe+HTt2\nTOQkpA3Ky8tx/PhxxMbGIj8/HwBgaGiInTt3onnz5iKnIyIi0k116WsavUeXSBMJgoDTp08jOjoa\n2dnZqvFu3bpBLpez5BIREWkIFl2iOigoKMCSJUtw/fp11Zi9vT0CAgIwaNAgvtkDERGRBmHRJaoD\nMzMz1X1vbW1t4e/vj2HDhsHAwEDkZERERPRXLLpEdSCRSPD2228jPT0dI0aMgJGRkdiRiIiIqAos\nukR15ODgoHqnPiIiItJcGn97MaLG9ODBA1y6dEnsGERERFQPeEaXCM8uMvvuu+9w8OBBNGnSBBER\nEaq9uERERKSdWHRJr5WUlOD7779HQkKC6l3NiouLkZKSgkGDBomcjoiIiF4Fiy7ppbKyMiQlJWHP\nnj24f/++arx///4ICAhAp06dRExHRERE9YFFl/TS8uXLkZqaqvq4R48ekMvl6Nmzp4ipiIiIqD6x\n6JJeGjZsGFJTU9GxY0fI5XK4uLjwzR6IiIh0DIsu6aVhw4ahSZMmGDhwIKRS3nyEiIhIF7Hokl4y\nMDCAq6ur2DGIiIioAfFUFumcnJwcREdHQxAEsaMQERGRiHhGl3TGvXv3EBcXh6SkJCiVSnTu3Jln\nbYmIiPQYiy5pvcePHyMhIQGHDx+GQqEAABgaGuLOnTsiJyMiIiIxseiS1ioqKsLBgwexf/9+FBYW\nAgCkUimGDRsGf39/2NnZiZyQiIiIxMSiS1pr//79iIuLU308aNAgBAQEoF27diKmIiIiIk3Bokta\na9y4cTh06BA6d+4MuVwOBwcHsSMRERGRBmHRJa1lbm6OTZs2wcbGRuwoREREpIF4ezHSaiy5RERE\nVBUWXdJI6enpWLJkCW7duiV2FCIiItJS3LpAGiUzMxPR0dH49ddfAQDR0dFYtGiRyKmIiIhIG7Ho\nkkbIy8tDbGwsTpw4AaVSCQBo0qQJunbtCqVSCamU//hAREREdcOiS6J69OgR4uPjceTIEZSVlQEA\njIyMMGbMGPj4+MDCwkLkhERERKStWHRJVI8ePcLhw4dVZ22HDx8OPz8/WFtbix2NiIiItByLLomq\nXbt2cHNzg0KhwNSpU9GmTRuxIxEREZGOYNEl0QUHB8PAwEDsGERERKRjeIUPNSilUgmFQlHtHJZc\nIiIiaggsutQgBEHA+fPnMXv2bMTExIgdh4iIiPQQty5Qvbt8+TIiIyNx+fJlAMDt27cxbtw4WFlZ\niZyMiIiI9AmLLtWbmzdvIioqCsnJyaqxFi1aYMqUKWjWrJmIyYiIiEgfsejSKysuLsaWLVtw8uRJ\nCIIAADAzM4Ovry/GjBkDmUwmckIiIiLSRyy69MpkMhlyc3MhCAJkMhnGjRuHCRMmwNzcXOxoRERE\npMdYdOmVSSQSBAYG4ueff8aUKVPQvHlzsSMRERERsehS/ejVqxd69eoldgwiIiIiFd5ejGpUWlqK\nzMxMsWMQERER1QnP6FKVysvL8e9//xu7d++GUqnE1q1bYWxsLHYsIiIiolph0aUKBEHAmTNnEB0d\nrXYm9z//+Q88PDxETEZERERUeyy6pObChQuIjIzEtWvXVGNt2rRBQEAAXn/9dRGTEREREdWNVhXd\nZcuWISMjA1FRUVXOuXz5MpYtW4Zr166ha9euWLZsGXr27NmIKbXXxo0bcezYMdXH1tbW8Pf3h7u7\nOwwMDERMRkRERFR3WnMx2m+//YY9e/ZAIpFUOaeoqAhBQUF47bXX8O2336Jv37547733UFxc3IhJ\ntZejoyMAwMLCAjNmzMDWrVvx5ptvsuQSERGRVtKKM7qlpaVYunQpnJ2dq513+PBhmJqaYu7cuQCA\nhQsX4uTJkzh69Ci8vb0bI6pWGz58OIqLi/Hmm2+iSZMmYschIiIieiVacUY3IiICDg4ONe4RvXDh\nAlxcXNTG+vXrh5SUlIaMpzMMDAwwfvx4llwiIiLSCRpfdDMyMhAXF4cFCxbUODcvLw+2trZqY1ZW\nVsjNzW2oeFqjsLAQR48ehSAIYkchIiIiahSib10oKSmpsoja2Nhg6dKl+Pjjj9GiRYsaH6u4uLjC\nfV6NjY2hUCjqJas2UigUSExMxN69e/HkyRNYWVnhtddeEzsWkV5KTr6E1auPIjfXBHZ2xZg3byT6\n9+fFsnxdtAPXSTvp+7qJXnRTU1MRGBhY6UVmc+bMgVKpxKRJk2r1WDKZrEKpVSgUMDExqZes2qS8\nvBzHjh1DXFwc8vPzVeO///47iy6RCJKTL8HH5xQyM+cAkAAQcO7cDiQkQK9+6fwVXxftwHXSTlw3\nDSi6AwYMwNWrVyv9XGBgIC5evKi6CK20tBRKpRL9+vVDYmIiWrZsqTbfzs4Od+/eVRvLz8+HjY1N\nw4TXQEqlEqdOnUJMTAxu376tGndwcEBgYCB69+4tYjoi/bV69dEXftkAgASZmTOxZs167N2rH79w\nKsPXRTtwnbQT100Dim51wsLCUFJSovp4165dSEtLQ1hYWIW9uADg5OSE7du3q42lpKTg73//e4Nn\n1RQHDhzAN998o/q4Xbt2CAgIwMCBA6u9NRsRNazcXBP8/y+b5yT/HddffF20A9dJO3HdNLzo/rXM\nWlpaQiaTwd7eXjWWn5+Ppk2bQiaTYcSIEVi/fj1WrlyJKVOmIDY2FoWFhRg1alRjRxeNh4cH4uLi\n0LRpU0ybNg1Dhw7lfXCJNICdXTEAAeq/dIT/jusvvi7ageuknbhuWnDXhZoMGTIER44cAQCYm5tj\n69atSE5Oho+PD9LS0rB9+3a92qNrYWGBFStWIDw8HG5ubiy5RBpi3ryRaNduB5790gEAAe3a7cCn\nn44UM5bo+LpoB66TduK6ARKB95tS8fDwAAC1t8ElIqovycmXsGbND8jNlcHOrhiffqpfVz9Xha+L\nduA6aSddXLe69DUW3RdoetG9f/8+4uPjMXr0aLXtG0RERET6oi59TaP36NIzBQUFSEhIwKFDh6BQ\nKPDw4UPMmzdP7FhEREREGo1FV4OVlJTg0KFDSEhIwNOnTwEAEokERkZGKC8v5/5bIiIiomqw6Gqg\n0tJSJCUlYc+ePXjw4IFq/LXXXkNAQAA6duwoYjoiIiIi7cCiq4Fu376NiIgIPN8+3bNnT8jlcvTo\n0UPkZERERETag0VXA3Xo0AFDhw5FZmYmAgMD0a9fP77ZAxEREVEdsehqqPfffx8mJiaQSrX+VsdE\nREREomDRFYkgCNWepW3SpEkjpiEiIiLSPTxd2Mhu376NtWvXIiYmRuwoRERERDqNZ3QbSX5+PuLi\n4vDjjz9CqVRCJpNh9OjRaN68udjRiIiIiHQSi24De/z4Mfbu3YvExESUlpYCAAwNDeHp6cn74BIR\nERE1IBbdBlJaWoqEhATs378fRUVFAACpVAo3Nzf4+/vD1tZW5IREREREuo1Ft4EYGhri7NmzqpLr\n6uqKgIAA2Nvbi5yMiIiISD+w6DYQiUQCuVyOb7/9FoGBgejatavYkYiIiIj0CotuA3J2doazs7PY\nMYiIiIj0Em8v9pIEQcDDhw/FjkFEREREVeAZ3Zfwxx9/IDIyErm5uQgPD4eRkZHYkYiIiIjoL1h0\n6yAzMxNRUVE4c+aMaiwpKQleXl4ipiIiIiKiyrDo1kJubi52796Nn376CYIgAHj2Fr0TJ06Em5ub\nyOmIiIiIqDIsujWIi4tDfHw8ysrKAADGxsYYPXo0fHx8YGFhIXI6IiIiIqoKi24NmjZtirKyMkil\nUnh6emLKlCmwsrISOxYRERER1YBFtwaenp64ffs2xowZg9atW4sdh4iIiIhqiUW3BkZGRggKChI7\nBhERERHVEe+jS0REREQ6iUWXiIiIiHQSiy4RERER6SQWXSIiIiLSSSy6RERERKSTWHSJiIiISCex\n6BIRERGRTuJ9dF+Ql5eH8vJyeHh4iB2FiIiIiCrx559/wsDAoFZzeUb3BTKZDIaG7P5EREREmsrQ\n0BAymaxWcyWCIAgNnIeIiIiIqNHxjC4RERER6SQWXSIiIiLSSSy6RERERKSTWHSJiIiISCex6BIR\nERGRTmLRJSIiIiKdxKJLRERERDqJRZeIiIiIdBKLLhERERHpJBZdPbBs2TLI5fJq51y+fBmTJ09G\n3759MWnSJFy6dKmR0um++/fv46OPPkL//v0xZMgQhIWFQalUVjl/xYoVcHR0RPfu3VX/jYmJacTE\nuquua5GdnY3p06fD2dkZY8aMwS+//NKIaXXbkydPsHDhQgwePBiurq6YP38+njx5UuV8HhcNo67r\nwGOiccyYMQPfffddtXN4TNQOi66O++2337Bnzx5IJJIq5xQVFSEoKAivvfYavv32W/Tt2xfvvfce\niouLGzGp7goJCcHTp08RHx+PjRs34vDhw9ixY0eV82/cuIGQkBD8/PPP+OWXX/Dzzz/D19e3ERPr\nrrquxYcffghbW1skJCRg3LhxCA4Oxp07dxoxse5asmQJrl27hu3bt+Prr79GRkYGFi9eXOV8HhcN\no67rwGOiYQmCgM8++wynTp2qcS6PidoxFDsANZzS0lIsXboUzs7O1c47fPgwTE1NMXfuXADAwoUL\ncfLkSRw9ehTe3t6NEVVnKRQKWFtbY9asWbC3twcAjBgxAufPn6/yazIyMjBz5kxYWVk1Vky9UNe1\nOH36NLKyshAfHw+ZTIagoCCcPn0a+/btQ3BwcGNG1zlFRUVISkpCbGwsevToAQBYsGABAgICoFAo\nYGxsXOFreFzUv7quA4+JhpWbm4u5c+ciOzsbFhYWNc7nMVE7PKOrwyIiIuDg4IDXX3+92nkXLlyA\ni4uL2li/fv2QkpLSkPH0grGxMdauXasqVunp6Th+/DgGDhxY6fyCggLk5uaiQ4cOjZhSP9R1LS5c\nuICePXtCJpOpxlxcXPD77783Sl5dJpVKsXXrVjg6OqrGBEFAeXk5CgsLK8zncdEw6roOPCYa1uXL\nl9G6dWt8++23MDMzq3Yuj4naY9HVURkZGYiLi8OCBQtqnJuXlwdbW1u1MSsrK+Tm5jZUPL0kl8sx\nduxYWFhYYOrUqZXOuXHjBiQSCcLDw/HGG29g/PjxNe7TorqrzVrcvXuXx0UDkclkGDJkCIyMjFRj\nkZGRcHBwgKWlZYX5PC4aRl3XgcdEw3Jzc8Pq1asrfe3/isdE7XHrgpYqKSmp8oeLjY0Nli5dio8/\n/hgtWrSo8bGKi4sr/BOVsbExFApFvWTVdTWthampKQBg0aJFePz4MUJDQzF79myEh4dXmH/jxg1I\npVJ07twZcrkcZ8+exeLFi2Fubo7hw4c36PehC+pzLYqKinhcvILargUAREdH44cffsDOnTsrnc/j\n4uXV5zrwmHg1dVmLmvCYqD0WXS2VmpqKwMDASi8ymzNnDpRKJSZNmlSrx5LJZBV+UCkUCpiYmNRL\nVl1X3Vps3rwZHh4eAAAHBwcAwKpVq+Dr64ucnBy0bt1abb63tzfc3d1V+7O6deuGW7duITY2lj+8\naqE+10Imk+HRo0dqYzwuaq+2axETE4PPP/8cCxcuhKura6WPxePi5dXnOvCYeDW1XYva4DFReyy6\nWmrAgAG4evVqpZ8LDAzExYsXVRehlZaWQqlUol+/fkhMTETLli3V5tvZ2eHu3btqY/n5+bCxsWmY\n8DqmurUoKChAYmIivLy8VGNdunQBADx48KBCuQJQ4SKETp064cyZM/WYWHfV51rY2dnh+vXramM8\nLmqvurV4bufOnVi3bh3mzZuHgICAaufyuHg59bkOPCZeTW3Woi54TNQO9+jqoLCwMBw+fBgHDx7E\nwYMH4efnh969e+PAgQMV9lcBgJOTU4ULz1JSUtC3b9/GiqyziouLMWfOHKSmpqrGLl68CENDw0ov\nIti0aROmT5+uNnblyhV07NixoaPqvLquhZOTEy5fvqz2rx3nz5/ncVFP9u/fj7CwMCxcuBBvv/12\ntXN5XDScuqwDjwnNwWOi9lh0dZCtrS3s7e1VfywtLSGTyWBvbw+p9NmS5+fno6SkBMCzWyw9efIE\nK1euREZGBlasWIHCwkKMGjVKzG9DJ1hbW8PT0xOhoaG4cuUKkpOTsWjRIsjlctVVtffv31dd4ezm\n5oZz587hm2++QVZWFnbv3o2DBw9i5syZYn4bOqGuazFgwAC0atUK8+bNw/Xr17Ft2zakpaXxPpX1\n4NGjR/jss8/g7e2NUaNGIT8/X/Xn+Rt48LhoeHVdBx4T4uIx8ZIE0nlfffWVIJfL1cYcHByE/fv3\nqz6+cOGCMGHCBMHJyUmYPHmycOXKlcaOqbOePHkiLFiwQBg0aJAwaNAgYfXq1UJpaanq825ubsJX\nX32l+vjYsWPCuHHjBCcnJ8HLy0tISkoSI7ZOqutaZGZmCgEBAUKfPn2EMWPGCKdPnxYjts45nTwi\nkgAACqVJREFUfPiw4OjoqPbHwcFBcHR0FG7fvi0IAo+LxvAy68BjonG4u7ur/Y4WBB4TL0siCIIg\ndtkmIiIiIqpv3LpARERERDqJRZeIiIiIdBKLLhERERHpJBZdIiIiItJJLLpEREREpJNYdImIiIhI\nJ7HoEhEREZFOYtElIiIiIp3EoktEREREOolFl4j0hru7OxwdHVV/unfvDhcXF8jlciQnJ9f78509\nexaOjo7IyckBAMjlcsyfP79WX1tUVISYmJhXev7bt2/D0dER586dq3bevXv3sG7dOnh5ecHZ2Rku\nLi7w9/fH3r17X+n565O7uzs2b95c6/mOjo747rvvGjAREWkDQ7EDEBE1phkzZuCdd94BAAiCgIcP\nH+KLL77Au+++iyNHjqBly5b1+nwSiUT19y1btkAqrd35hZ07d2L//v2YNm1avT1/ZdLT0zF9+nS0\nbdsWc+fORbdu3VBaWopffvkF69atQ1paGkJDQ18pQ31ISEiAiYmJ2DGISMuw6BKRXjE1NYWVlZXq\nY2trayxfvhxDhw5FUlIS5HJ5gz23hYVFrecKglAvz1nd4wiCgJCQELRt2xYxMTEwMDBQfa5Dhw5o\n37493n33Xbz11lvo3LlzveR5Wc2bNxf1+YlIO3HrAhHpvecF7/kZQ3d3d6xZswajR4+Gq6uralvD\n9u3bMXz4cPTt2xcTJkzAoUOH1B4nOTkZkydPhpOTE7y9vXH16lW1z/9168KFCxcwffp0ODs7Y/Dg\nwVi2bBmKi4uxefNmbNmyBbdv30b37t1VWx8SEhLg5eUFJycnjB49GpGRkWpFNj09HW+99RacnZ0x\nYsQInD59utozur/++iv++OMPzJ07V63kPjdkyBAcPXpUreSeOHECEydOhJOTEzw9PbFx40YoFArV\n5x0dHfHVV1/B3d0df/vb35CZmYk///wTs2fPxuuvv45evXrhjTfeQFhYmOpr9u/fD09PT9V/e/fu\njYkTJ+K3335Tzfnr1oWffvoJU6ZMgbOzM4YMGYLVq1ejpKSkyu+ViPQTz+gSkV7Lzc3FypUrYWZm\nhqFDh6rGd+/ejYiICDRt2hTdunXD+vXrkZiYiCVLlqBjx45ITk7G8uXLUVBQAH9/f2RlZWHGjBmY\nOHEi1qxZg+vXr2PRokVVPm9WVhbeeustjBw5Evv27cPjx4/xP//zP1i+fDmWLFmCp0+f4ujRo0hI\nSIClpSX27NmDL7/8EkuXLkXv3r1x5coVhIaGIi8vDyEhISgoKMDbb78NFxcX7Nu3D3l5eVi4cGG1\n3/u5c+dgYmKCfv36VTmnffv2qr+fPHkSs2fPxsKFC+Hq6orMzEx89tlnuHXrFr788kvVvNjYWOzY\nsQNlZWVo164dvL29YWtri//93/9FkyZNcPz4caxcuRLOzs7w8PAAAOTk5GDPnj0ICwuDmZkZli5d\nivnz5+OHH36okOnHH3/ERx99hI8//hhr167FjRs3sHTpUmRnZ9dpHy8R6T4WXSLSKxEREdi5cycA\noLy8HKWlpejcuTM2btwIOzs71bw33ngDgwYNAvDswrBdu3Zh/fr1qjJsb2+P7Oxs7NixA/7+/oiP\nj4eNjQ2WLFkCiUSCjh07IicnB6tXr640R3x8PJo3b47PP/9ctW/3888/R0pKCkxNTWFmZgapVIoW\nLVoAAMLDw/HBBx9g1KhRAIC2bdviyZMnWL58OT766CN8//33KCoqwqpVq2BmZobOnTtjwYIFmDVr\nVpWvRX5+Ppo1a6Z21jcvLw8jRoyARCJRnS1+//33ERQUhIiICEyZMgWTJk1SZVi2bBneeustzJ07\nF61btwYAjB8/Hj169AAAlJSUwNvbG6NGjVK9voGBgdi2bRuuXbumKrrl5eVYvnw5HBwcAABvv/02\nZs2ahfz8fFhbW6vl3rZtGzw9PfHee+8BeFbGlUolPvzwQ2RkZIi+zYKINAeLLhHpFT8/PwQGBgIA\npFIpmjVrBnNz8wrzXjyTef36dZSUlCAkJERtjlKpRGlpKRQKBdLT09GjRw+10ujs7FxljvT0dPTq\n1Uvt4rQBAwZgwIABFebev38fd+7cwfr169XOnAqCgNLSUmRnZyM9PR0dOnSAmZmZ6vP9+vWrdo9u\n8+bN8ejRI7Uxa2trHDx4UPVxQECAamvC5cuXkZaWhvj4eLWvkUqlyMjIUBXdF187mUyGqVOn4ocf\nfkBqaioyMzPxxx9/4N69eygvL1d7nE6dOqn+/nw/c2lpaYXc165dw5gxY9TGnr9u165dY9ElIhUW\nXSLSK82aNYO9vX2N82Qymervz8vihg0b1MrYc0ZGRmrz/jpeGUPD2v/4ff64CxYsgKura4XPV3Wn\niJqew8XFBdu2bcOFCxfQp08fAM9K64uvz4t7d5VKJWbOnIkJEyZUeCwbGxvV31+8O0JRURGmTZsG\nhUKBkSNHon///ujTpw+mTp1a4TEqe70qK+qCIFTYe6xUKqt8DCLSX7wYjYioBp06dYKhoSFycnJg\nb2+v+nPixAns3LkTEokE3bt3R1paGsrKylRfl5aWVuVjdu7cGZcuXVIrcklJSXB3d1e7uAsArKys\nYGVlhczMTLXnT0tLU53h7d69O27evImHDx+qPX91F6MNGTIEXbp0QVhYmFru5x49eoTCwkLVx127\ndsXNmzfVMuTk5GDNmjV4+vRppc/x888/48qVK4iMjERwcDBGjhyJJk2aID8/v8pcNXFwcKhw3+Nz\n585BIpHwbC4RqWHRJSKqgbm5Ofz8/LBhwwYcPHgQWVlZ2LdvH8LCwmBrawsA8Pf3R1FRERYsWICM\njAycOHGi2gujpk2bhocPH2Lp0qXIyMjAuXPnsG7dOgwePBjGxsYwMzPD48ePcevWLZSVlWHmzJmI\niopCTEwMsrKykJSUhOXLl8PU1BRGRkYYPXo0rKys8Mknn+Dq1as4e/YsVq5cWe33JZVKsWHDBmRn\nZ8PPzw9HjhxBVlYWMjIysGvXLowdOxZlZWWqs73vvvsufvjhB2zZsgW3bt3C6dOnMX/+fBQUFKjd\nsu1Fz/flHjhwADk5OUhOTsaHH36I8vLyCoX+r6radjFz5kwkJSUhPDwct27dwokTJ7BixQq4ubmh\nY8eO1T4mEekXbl0gIr1R05snVDdvwYIFsLKywqZNm5CXl4dWrVrhH//4h+rNJ2xtbbFr1y58/vnn\n8PHxQatWrfDBBx9g+fLllT6Hra0tvv76a6xbtw4TJ05Es2bNMHr0aMyePRsA4Onpifj4eIwfPx5R\nUVGYPn06TExMEBUVhdWrV8PGxgZ+fn4IDg4G8Oz+wJGRkQgNDcXUqVNhaWmJjz76qMZ3YuvcuTMO\nHDiAyMhIREREIDs7G+Xl5ejYsSMmTZoEf39/1cVgI0aMwJdffomIiAhERESgWbNm8PDwUNu7/NfX\nrk+fPpg3bx527dqluuDPy8sLrVq1qvaM918f68W/e3p64osvvsDWrVsRHh6OFi1aYOzYsWoX3tV2\nrYlIt0mE+rorORERERGRBuHWBSIiIiLSSSy6RERERKSTWHSJiIiISCex6BIRERGRTmLRJSIiIiKd\nxKJLRERERDqJRZeIiIiIdBKLLhERERHpJBZdIiIiItJJLLpEREREpJNYdImIiIhIJ/0fj+7om2gT\np0UAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1133ceef0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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9Q5OSuPkI4VtQevWygtbLrIIidlFAASCC9n7SJklKT3Fo3TIu5kB4MlKdoVVz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\nSUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10bf19780>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Residual Mean:  -0.10497009337441125  Residual Standard Deviation:  0.923658781215894\n",
      "90% of the predictions are within  1.5194186951001456  of the actual value.\n"
     ]
    },
    {
     "data": {
      "image/png": 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jbdu2ePPNNzF79mysX7++zpRcoI6c0RUEAatWrcLJkycxduzYF2779ttvw8rK\nCgkJCfjhhx8wb948fP/992jRokUNpSUiIqKq1MTZx/rGwcEGCQlAUNB6yOWGkMkKsGSJ5uc9T548\nWaP7qym1vujK5XIsWrQImZmZMDMze+G2p06dwq1btxAXFwdDQ0PMnj0bp06dwu7duzFv3rwaSkxE\nRERVCQgYieTkaGRk+KB8ju7Lzj7y4rWXc3Cw4dSP56j1RffKlSto1aoVwsLC4Obm9sJtL1y4ABsb\nmwr3Uba3t8e5c+e0HZOIiIheQt2zj7x4TfuKi4uxf/9+FBUVYeLEiWLH0bhaX3SdnZ3h7Oys0rZZ\nWVmwtLSsMNa0aVPI5XJtRCMiIiI1qXP2kRevade5c+cQFRWFzMxM6OnpYeDAgWjdurXYsTRK9KJb\nWFj43CLavHlzGBsbq7yvp0+fwsDAoMKYgYEBioqK/lFGIiIiqnnPu3gtLU0BD48QTmeopqysLGzZ\nsgUnT55UjnXu3BmlpaUiptIO0Yvu+fPnMW3aNEgkf/9GBsLDwzF06FCV92VoaIjc3NwKY0VFRTAy\n4tWcREREdc3zLl67evUPnDsXDk5nUE9xcTH27NmDuLg45UlAc3NzeHt7w9nZGVJpnVqMSyWiF11H\nR0ekpqZqZF8ymQxpaWkVxrKzs9G8eXON7J+IiIhqTlUXrxkbf4qnT+eA0xnUFxoaiuPHjwMApFIp\nXFxcMGnSJJiamoqcTHtEL7qaZGdnh82bN6OoqEg5heH06dNwcHAQORkRERGpq6qL165fz8P58z3+\ntiXX4lWFq6srfvrpJ1hbW2P27Nno0KGD2JG0rs4X3ZycHBgZGcHExASOjo5o2bIlAgICMHfuXBw9\nehQXL15EYGCg2DGJiIioGv5+8ZqHRwjOn+davNXRuXNnrFu3Dp07d65yyqguqlOTMar6onh4eCAm\nJgZA2Wn4DRs2ICsrC+7u7ti/fz8iIiJ4swgiIiIdURN3AtNlXbp0qTclFwAkgiAIL9+sfii/8O3I\nkSMiJyEiIqLnSUm5jKCgg1q9E1hddOfOHTRt2rTC/QR0kTp9rc5PXSAiIqL6hXcCq6igoAC7du3C\n3r174enpiUmTJokdqdaoU1MXiIiIiKiMIAg4ceIE5s6di4SEBJSUlGDfvn148uSJ2NFqDZ7RJSIi\nIqpjMjIyEBUVhQsXLijH7O3t4evrCxMTExGT1S4sukRERER1RGFhIWJjY/HNN99AoVAAACwtLeHr\n6wtHR8fL/UjiAAAgAElEQVR6daGZKlh0iYiIiOqIBg0a4MKFC1AoFDAwMIC7uzvc3Nx0/gK06mLR\nJSIiIqoj9PT04Ofnh8TERMycOZNLqL4Eiy4RERFRHWJtbQ1ra2uxY9QJXHWBiIiIiHQSiy4RERFR\nLZGWloaQkBAUFxeLHUUncOoCERERkcjy8vIQGxuLgwcPQhAEdOjQAW5ubmLHqvNYdImIiIhEolAo\ncOjQIcTGxuLRo0cAAGNjYxgZGYmcTDew6BIRERGJIDU1FZs2bcKNGzeUY05OTvD29kaTJk1ETKY7\nWHSJiIiIatjp06excuVK5eP27dvDz88PNjY2IqbSPSy6RERERDXM1tYWrVu3xoMHD+Dl5YVRo0ZB\nT09P7Fg6h0WXiIiIqIbp6+tj0aJFsLCwQOPGjcWOo7NYdImIiIhE0KFDB7Ej6Dyuo0tERESkYSUl\nJcjKyhI7Rr3HM7pEREREGnT+/HlERUVBT08P69ev59xbEbHoEhEREWlAVlYWYmJikJSUpBw7ceIE\nBg8eLGKq+o1Fl4iIiOgfKC4uRmJiIuLi4lBYWAgAMDc3x/Tp0zFo0CCR09VvLLpERERE1XT27Fls\n2rQJd+7cAQBIpVKMHj0akydPhqmpqcjpiEWXiIiIqJpSU1OVJdfa2hp+fn5cTaEWYdElIiIiqiY3\nNzecO3cOo0aNwuDBgyGRSMSORM9g0SUiIqrnUlIuIzDwAORyI8hkBQgIGAkHB96KVhWGhoYIDAxk\nwa2lqlV0s7Ky0LBhQ5iYmODMmTM4fPgwXn31VQwfPlzT+YiIiEiLUlIuw939JDIyFgKQABCQnByN\nhASw7KqIJbf2UvuGET/++COGDh2Ks2fPIjMzE9OnT8ehQ4fw3nvvIS4uThsZiYiISEsCAw8gI8MH\nZSUXACTIyPBBUNABMWPVCgUFBdixYweuX78udhSqJrWL7ueffw4vLy84Ojrim2++gUwmw6FDh7B6\n9Wps27ZNGxmJiIhIS+RyI/yv5JaT/DVePwmCgBMnTmDu3LmIj4/Hpk2bUFpaKnYsqga1py6kpaXh\n888/h76+PpKSkuDk5AQ9PT3Y29vj1q1b2shIREREWiKTFQAQULHsCn+N1z+3bt1CVFQUzp8/rxwz\nNTXFkydPuFxYHaR20W3UqBHy8/ORn5+Ps2fPwtvbGwCQmZkJc3NzTecjIiIiLQoIGInk5Ohnpi8I\naNs2GkuWjBQ7Wo168uQJdu3ahX379kGhUAAALC0t4ePjg759+3Iebh2ldtEdNGgQPv74YzRs2BAN\nGzbEwIED8euvv2LFihW8xR0REVEd4+Bgg4QEIChoPeRyQ8hkBViypH6tulBUVIR///vfuH//PgBA\nX18f7u7ucHd3h6Ghocjp6J9Qu+h++OGHCA4Oxq1btxAeHg5DQ0MkJSWhS5cuCAgI0EZGIiIi0iIH\nBxvEx9efYvt3BgYGGDRoEBISEuDo6AgfHx+0aNFC7FikARJBEASxQ9QWQ4cOBQAcOXJE5CRERERU\nk54+fYorV67A3t5e7Cj0Eur0NbVXXQCAGzduYMWKFZg2bRrkcjni4uJw7ty56uyKiIiISHTGxsYs\nuTpI7aKbmpoKNzc3XLlyBWfOnEFRURHOnDmDKVOmICkpSRsZiYiIiP6RnJwcsSOQCNQuumvXroWX\nlxfi4uKgr68PAAgMDISnpyfCwsI0HpCIiIiouvLy8rBhwwb4+Pjgjz/+EDsO1TC1i+7Fixfh4eFR\nadzb2xvXrl3TSCgiIiKif0KhUODAgQOYM2cODhw4gJKSEt7Yqh5Se9UFPT09PH36tNJ4VlYWl+Ag\nIiIi0aWmpiIqKgppaWnKscGDByvX/qf6Q+2i6+zsjNDQUISGhirHbt26hTVr1nAdXSIiIhJNbm4u\ntm3bhh9++EE51q5dO/j5+aFHjx4iJiOxqF10AwICMHPmTPTp0wcKhQITJ07EgwcP0LFjRyxevFgb\nGYmIiIheKicnB0ePHgUAmJiYwMvLC6NHj4aenp7IyUgsahddc3NzxMfH4/jx47hy5QpKS0vRtWtX\nODs7Ky9OIyIiIqppHTp0gIuLC548eYJp06ahcePGYkcikalddAFAKpXCyckJTk5OGo5DREREVH0+\nPj6QSCRix6BaQu2im5GRgdWrV+PMmTMoLi7G32+sdv78eY2FIyIiIlIHSy49S+2iu3z5cty7dw++\nvr4wMzPTRiYiIiKiSs6fP4/bt29j9OjRYkehOkLtonv27Fl88cUX6NmzpzbyEBEREVWQlZWFrVu3\n4sSJE2jQoAF69eqFVq1aiR2L6gC1i66FhQWMjY21kYWIiIhIqbi4GImJiYiLi0NhYSGAstUU5HI5\niy6pRO2iO3HiRISGhmLt2rUsvERERKQVp0+fxubNm3Hnzh0AZRfCjxo1Cl5eXjA1NRU5HdUVahfd\nCxcuICkpCY6OjpDJZDAwMKjw/HfffaexcERERFT/bN++Hbt371Y+7t69O/z8/NCxY0cRU1FdpHbR\n7dKlC7p06aKNLERERETo27cvdu/eDQsLC8yYMQNOTk5cTYGqRe2i+95772kjh0pmzZqFsWPHwtXV\n9bnbrFq1CrGxsZBIJBAEARKJBMuWLYOXl1cNJiUiIqLq6tatGxYvXoxXX30VJiYmYsehOkylort5\n82ZMnToVRkZG2Lx583O3k0gk8PHx0Vi4coIgYNWqVTh58iTGjh37wm3T09Ph7++PCRMmKMc4l4eI\niKhuGThwoNgRSAeoVHS3bdsGDw8PGBkZYdu2bS/cVtNFVy6XY9GiRcjMzFRp3d4bN27Ax8cHTZs2\n1WgOIiIi0oyCggLo6elBX19f7Cik41QquidOnKjy7zXhypUraNWqFcLCwuDm5vbCbfPz8yGXy9G+\nffuaCUdEREQqEwQBp06dQnR0NEaOHIk333xT7Eik49Seo1suJSUFV69eRYMGDWBtba21G0g4OzvD\n2dlZpW3T09MhkUiwceNGHD9+XDmJ/UVzeomIiEj7bt26haioKJw/fx4AEBcXh+HDh6Nx48YiJyNd\npnbRzcnJga+vLy5fvgxjY2MoFAoUFxejb9++CA8PV3s+bGFhIeRyeZXPNW/eXK21etPT0yGVStGp\nUydMnToVv/76K5YvXw5TU1MMGzZMrVxERET0zz158gS7du3Cvn37oFAoAACWlpbw8fGBhYWFyOlI\n16lddFeuXAmFQoHExERYWVkBAC5duoSlS5ciKCgI//nPf9Ta3/nz5zFt2rQqlw0JDw/H0KFDVd6X\nq6srhgwZopzL27VrV9y8eRM7d+5k0SUiIqpBgiDg+PHj2Lp1K3JycgAA+vr6cHd3h7u7OwwNDUVO\nSPWB2kX3xIkT2Lp1q7LkAkCPHj2wYsUKzJ07V+2i6+joiNTUVHVjPNffL1jr2LEjfvnlF43tn4iI\niF6utLQUu3fvVpZcR0dHzJo1Cy1bthQ5GdUnUnU/wNjYGIIgVBo3MTGBVKr27jQqLCwMM2bMqDD2\n22+/oUOHDiIlIiIiqp/09PTg5+eHFi1aYPny5Vi2bBlLLtU4tZvpnDlz8OGHH+LGjRvKMblcjjVr\n1mDOnDkaDaeKnJwcPHnyBEDZhWvJycnYunUrbt26hS+//BL79u3Tytq+RERE9GI9evTAxo0b0adP\nH7GjUD2l9tSFbdu24c6dOxgzZgyaNGmCBg0aIDs7GwqFAhcuXEBISIhy2/IrKzWlqnm8Hh4ecHNz\nw7x589CzZ0+EhYUhNDQUoaGheOWVVxASEgJbW1uN5iAiIiLV6OnpiR2B6jG1i+7MmTO1kUMlR44c\nqTR29OjRCo+HDBmCIUOG1FQkIiKieunRo0f45ptv4OnpiQYNqr1aKZFWqf2dmZGRgUmTJqFNmzba\nyENERES1mEKhwOHDh7Fjxw48evQIJiYmGD9+vNixiKqkdtHdtWsXJk2apI0sREREVItdu3YNkZGR\nSEtLU45lZmaKmIjoxdQuugMGDEBcXBzmz58PAwMDbWQiIiKiWiQ3Nxfbt2/H4cOHlWNt27aFn5+f\n1u6MSqQJahfd/Px8bN68GTExMZDJZDAyMqrw/HfffaexcERERCSutLQ0LF++HI8fPwZQtpzo5MmT\nMXr0aM7NpVpP7e9QGxsb2NjYaCMLERER1TLt2rWDubk5Hj9+jCFDhmD69Olo3Lix2LGIVKJ20X3v\nvfe0kYOIiIhqIX19fcyfPx9SqRTdu3cXOw6RWqr1nsONGzewY8cOpKenIzg4GMeOHUPXrl3Rq1cv\nTecjIiIikfGdXKqr1L4zWmpqKtzc3HDlyhWcOXMGRUVFOHPmDKZMmYKkpCRtZCQiIiItKigoEDsC\nkVaoXXTXrl0LLy8vxMXFQV9fHwAQGBgIT09PhIWFaTwgERERaUd2djaCg4Px/vvvQ6FQiB2HSOPU\nLroXL16Eh4dHpXFvb29cu3ZNI6GIiIhIe4qLi5GQkIC5c+fip59+QlpaWpV3HyWq69Seo6unp4en\nT59WGs/KyoKhoaFGQhEREZF2nD17FlFRUbh9+zYAQCqVYuTIkejXr5/IyYg0T+2i6+zsjNDQUISG\nhirHbt26hTVr1mDw4MEaDUdERESaIZfLsWXLFvz888/Kse7du8PPzw8dO3YUMRmR9qhddAMCAjBz\n5kz06dMHCoUCEydOxIMHD9CxY0csXrxYGxmJiIjoH/rhhx+UJdfCwgIzZsyAk5MTJBKJyMmItEft\nomtubo74+HgcP34cV65cQWlpKbp27QpnZ2flxWlERERUu3h4eODYsWPo27cvJk6ciIYNG4odiUjr\nVCq6M2fORGhoKBo1agSgbD6Pk5MTnJyctJmNiIiINMTQ0BDh4eEwMDAQOwpRjVFp1YWTJ0+iqKhI\n21mIiIhIi1hyqb5Re3kxIiIiql0EQcDJkyfx+++/ix2FqFZReY5uVlYWSkpKXrqdTCb7R4GIiIhI\ndZmZmdi8eTPOnj2L7t27IzAwkBeYEf1F5aI7YcKEFz4vCAIkEgl+++23fxyKiIiIXuzJkyeIi4vD\nvn37lCeisrOzkZ2djebNm4ucjqh2ULnorl+/Hubm5trMQkRERC8hCAJ++uknxMTEICcnBwCgr68P\nNzc3eHh48OZNRM9Quej26dMHTZs21WYWIiIieoHS0lKsWLEC586dU4716dMHPj4+aNmypYjJiGon\nlYou5/oQERGJTyqVol27djh37hxatGgBX19f9OnTR+xYRLWWSkXX0tISUikXaCCiuicl5TICAw9A\nLjeCTFaAgICRcHCwETsWUbVNmjQJFhYWGDt2LJcLI3oJlYrusWPHtJ2DiEjjUlIuw939JDIyFgKQ\nABCQnByNhASw7FKdZWJiAnd3d7FjENUJPE1LRDorMPAAMjJ8UFZyAUCCjAwfBAUdEDMW0QsVFxeL\nHYFIZ7DoEpHOksuN8L+SW07y1zhR7VJaWopDhw7B19cXmZmZYsch0gksukSks2SyAgDC30aFv8aJ\nao/r169j0aJFCA8PR05ODqKiosSORKQTVF5ejIiorgkIGInk5Ohnpi8IaNs2GkuWjBQ7GhEAIC8v\nD9u3b8fhw4chCGW/lLVt2xaenp4iJyPSDSoV3f3796u8w7Fjx1Y7DBGRJjk42CAhAQgKWg+53BAy\nWQGWLOGqCyQ+hUKBgwcPIjY2Fvn5+QDKLjKbNGkSXFxc0KABz0MRaYJKP0mLFi1SaWcSiYRFl4hq\nFQcHG8THs9hS7XLr1i1s2rRJeRbX2dkZ3t7eaNy4scjJiHSLSkX38uXL2s5BRERUb7Rv3x5vvPEG\nrl69Cj8/P1hbW4sdiUgnqVR09fT0VNrZ/fv3YWlp+Y8CERER1TXVuTHJzJkzoa+vr/K/sUSkPrUn\nAWVmZiI4OBjXrl1DaWkpAEAQBBQVFSErK4tnf4mIqF6p7o1JjIy4zB2Rtqm9vNjHH3+MS5cuwcnJ\nCZmZmRg2bBg6deqEe/fuYfny5drISEREVGtVdWOS+/cnYM2aHWLGIiJU44zu6dOnERERgddeew0n\nT57EG2+8AVtbW3z66ac4ceIEJk6cqI2cREREtdKzNyaRSIrRseM+dO26C8XFRbh37x5atGghbkCi\nekztM7qFhYVo164dAKBDhw64evUqAMDV1RXnzp3TbDoiIqJarvzGJM2anYWT079hbb0NDRoUQCIp\nxfnz58WOR1SvqX1G95VXXkFaWhpatmyJDh06IDU1FUDZPN3Hjx9rPCAREVFt9tZbfXH/vh8sLO4p\nxx4/box33vHCG2+MEDEZEalddF1dXbF48WIEBQXByckJ3t7eaNOmDX766Sd069ZNGxmJiIhqpSNH\njiAyciMsLIoAAKWlBjAw6IDAwGno06enyOmISO2i+9Zbb8HAwAAlJSWws7ODr68vPvvsM7Ro0QIh\nISHayEhERFQrtWrVCkVFRZBKpXBxccHkyZPRsGFDsWMR0V8kQvltWVR05swZ2NraVro9YVFREY4f\nP45hw4ZpNGBNGjp0KICy39CJiIhUsWfPHvTu3Rvt27cXOwpRvaBOX1P7YjQvLy/k5eVVGk9PT8fC\nhQvV3R0REVGdNmHCBJZcolpKpakL27ZtQ3BwMICyi85ef/31StsoFArY2PB+8kREpDsEQYAgCJBK\n1T4vRES1gEpF18vLCw0bNoQgCFi+fDn8/f0rzEGSSCQwMTHBgAEDtBaUiIioJt2+fRtRUVGwtbWF\nu7u72HGIqBpUKroNGjSAh4eH8vH48eNhYGCgtVBERERiefr0KeLi4rB3716UlJTgt99+w+DBg9Gs\nWTOxoxGRmtRedcHT0xNyuRxffvklrl27Bn19fXTu3Bmenp5o2bKlNjISERFpnSAISEpKQkxMDLKz\nswGUnegZN24cTE1NRU5HRNWhdtG9fv06vLy8YGBggB49eqCgoAC7du1CbGwsdu7ciU6dOmkjJxER\nkdZkZGRg06ZNuHjxonLMwcEBPj4+aNWqlYjJiOifULvoBgUFwd7eHuvXr4eRkRGAsrd5/P39ERwc\njMjISI2HJCIi0hZBELBu3TrcvHkTACCTyeDr6wtHR0dxgxHRP6b2ZaSnT5/GO++8oyy5AGBsbIz5\n8+cjJSVFo+GIiIi0TSKRYNasWTAwMMDkyZMRERHBkkukI9QuuiYmJigpKak0XlJSAjXvPaGSR48e\n4YMPPsCAAQPQr18/LF26FI8ePXru9pmZmZgxYwZ69+6NMWPGICkpSeOZiIhIt9jZ2WHLli2YOHEi\nL7Ym0iFqF93XXnsN69atq3DTiNzcXISEhKBfv34aDQcAH374Ia5du4bNmzcjJiYGN27cwPLly5+7\n/dtvvw1LS0skJCRg3LhxmDdvHu7du6fxXEREpFvMzc3FjqAzUlIuw8MjBIMGRcDDIwQpKZfFjkT1\nlNpzdP39/fGvf/0LTk5O6NixIyQSCdLS0mBmZobY2FiNhnv69CkOHz6MnTt3wtraGgDw/vvvY8qU\nKSgqKqr0W/epU6dw69YtxMXFwdDQELNnz8apU6ewe/duzJs3T6PZiIiobigtLUVSUhL69+8PPT09\nsePovJSUy3B3P4mMjIUAJAAEJCdHIyEBcHDgjaWoZqlddFu2bInvvvsOe/bswfXr1yEIAsaPH49x\n48bBzMxMo+GkUikiIyNhZWWlHBMEAQqFAk+ePKlUdC9cuAAbGxsYGhoqx+zt7XHu3DmN5iIiorrh\n+vXriIyMxPXr1zF79myMGTNG7Eg6LzDwwDMlFwAkyMjwQVDQp4iPZ9GlmqVS0V26dCk++OAD5TqC\npqammDp1qlaDAYChoSEGDhxYYWz79u3o1q0bLCwsKm2flZUFS0vLCmNNmzaFXC7Xak4iIqpd8vLy\nsH37dhw+fFh5/cjx48fh4uICiUTyko+mf0IuN8L/Sm45yV/jRDVLpaKbmJgIf39/rSyYXVhY+Nwi\n2rx5cxgbGysfx8bG4uDBg9iyZUuV2z99+rTSWV4DAwMUFRVpLjAREdVaCoUCBw8eRGxsLPLz8wGU\nrQw0adIkjBkzhiW3BshkBQAEVCy7wl/jRDVLpaKrjdUUyp0/fx7Tpk2r8n8+4eHhGDp0KADgiy++\nwOrVq/HBBx8896I3Q0ND5ObmVhgrKiqqsBQaERHpJrlcjjVr1uD3339Xjjk5OcHb2xtNmjQRMVn9\nEhAwEsnJ0cjI8EH5HN22baOxZMlIsaNRPaTyHF1t/Rbs6OiI1NTUF26zZcsWBAcHIyAgAFOmTHnu\ndjKZDGlpaRXGsrOz0bx5c41kJSKi2qtx48Z4+vQpAKB9+/bw8/ODjQ3nhNY0BwcbJCQAQUHrIZcb\nQiYrwJIlI3khGolC5aI7YMAAlbb77bffqh2mKnv27MG6devwwQcfvHResJ2dHTZv3lxhRYbTp0/D\nwcFBo5mIiKj2MTAwgJ+fH+7evYtRo0ZxhQUROTjY8MIzqhVULrpLly5Fo0aNtJmlktzcXPznP/+B\nq6srRo0ahezsbOVzTZo0gVQqRU5ODoyMjGBiYgJHR0e0bNkSAQEBmDt3Lo4ePYqLFy8iMDCwRnMT\nEZE47O3txY5ARLWIykXXxcUFTZs21WaWSpKSkvD06VMkJiYiMTERQNl8YYlEgiNHjqBVq1bw8PCA\nm5sb5s2bB6lUig0bNuD999+Hu7s72rZti4iICLRo0aJGcxMRkXaU/xtARKQKlYquWP9TGT16NEaP\nHv3CbY4ePVrhcZs2bbBjxw5txiIiohpWXFyM/fv34+zZs1i5ciWkUrVv7KkTUlIuIzDwAORyI8hk\nBQgI4NxXohcRfdUFIiKiFzl37hyioqKQmZkJAPjhhx8wYsQIkVPVPN5xjEh9KhXdl62KQEREpGlZ\nWVnYsmULTp48qRzr1q0bOnXqJGIq8fCOY0TqU/sWwERERNpUXFyMPXv2IC4uTnnDH3Nzc3h7e8PZ\n2bneTlvgHceI1MeiS0REtcrevXsRGxsLAJBKpXBxccGkSZO0cnfOuoR3HCNSX/38tZiIiGotFxcX\nNGvWDNbW1li/fj18fX3rfckFyu441rZtNMrKLsA7jhG9HM/oEhFRrWJsbIygoCA0a9aMS4k9g3cc\nI1KfSkU3OTlZ5R326dOn2mGIiIgA8Nbtz8E7jhGpR6WiO3XqVEgkkpcuMyaRSDR+C2AiItItt2/f\nBgC88sorIichIl2nUtE9cuSItnMQEZGOKygowK5du7B3715YWVlh9erVnJpARFqlUtFV9bfuwsLC\nfxSGiIh0jyAISEpKQkxMDLKzswGUrc/+xx9/oH379uKGIyKdpvbFaA8ePEBkZCSuXbsGhUIBoOx/\nYsXFxUhLS0NKSorGQxIRUd2UkZGBqKgoXLhwQTlmb28PX19ftGrVSsRkRFQfqF10V65ciVOnTmHA\ngAE4cOAAXFxccOPGDVy5cgULFy7URkYiIqpjBEHAtm3bsHfvXuVJEZlMBh8fHzg6OnLKAhHVCLWL\n7qlTpxAUFAQnJydcvXoVs2bNgpWVFZYvX460tDRtZCQiojpGIpGgqKgICoUCBgYG8PDwwIQJE2Bo\naCh2NCKqR9Quuo8fP0a3bt0AAB07dkRqaiqsrKwwZcoUzJ49W+MBiYiobpo8eTKePHmCiRMnokWL\nFmLHIaJ6SO07o8lkMuXSMO3bt8fVq1cBlC3wnZubq9l0RERUZ5mamuKdd95hySUi0ahddEeMGIGl\nS5fi9OnT6N+/P/bs2YMDBw4gLCwM7dq100ZGIiIiIiK1qT114d1330VJSQnu3LmDsWPHYsSIEXjn\nnXfQqFEjhIWFaSMjERHVMtevX0dMTAzmzZvHGz8QUa0lEV52uzMVPHz4EI0aNYKenp4mMolm6NCh\nAHiDDCKi58nLy8OOHTtw6NAhCIKAV199FR999BFXUSCiGqNOX1P7jG5ycvILn+/Tp4+6uyQiolpO\noVDg0KFDiI2NxaNHjwCUXZthZ2cHQRBYdImoVlK76E6dOhUSiQTPngiWSCSQSCSQSqW4dOmSRgMS\nEZG4UlNTsWnTJty4cUM55uTkBG9vbzRp0kTEZEREL6Z20f37aWKFQoHff/8doaGh8Pf311gwIiIS\nn1wuR0BAAEpLSwGUrbbj5+cHGxsbkZMREb2c2kW3qosO2rZtC1NTU6xYsQL79+/XSDAiIhKfTCbD\nsGHDkJSUBC8vL4waNarOX49BRPWH2kX3eRo3bow//vhDU7sjIqJaYtq0aZgyZQosLCzEjkJEpBaN\nXIyWn5+Pbdu2oUuXLhoJRUREtYeZmZnYEYiIqkUjF6MBZVMa1q5dq7FgRESkfSUlJUhLS4OVlZXY\nUYiINO4fX4wGAPr6+rC0tNRIICIiqhnnz59HVFQU5HI5NmzYwP+PE5HOUfsWwOHh4TA3N8crr7yi\n/GNpaYmHDx/i7bff1kZGIiLSoKysLAQFBWH58uW4desWioqKcODAAbFjERFpnEpndE+fPo1bt24B\nABITE2FjYwNTU9MK29y4cQMnT57UfEIiItKI4uJi7NmzB/Hx8SgsLAQAmJubY/r06RgyZIjI6YiI\nNE+loiuRSBAQEKD8+6pVqyptY2JiglmzZmk2HRERacSlS5fw+eef4+7duwAAqVSK0aNHY/LkyZVO\nXBAR6QqViu6rr76K1NRUAICVlRWSkpLQtGlTrQYjIiLNKi+51tbW8PPzQ4cOHURORESkXWpfjJaa\nmoqbN2/i7t276NGjBwBg27ZtcHJyQrt27TQekIiI/rkePXpg3Lhx6NSpE5ycnCCRSMSORESkdWpf\njHby5EmMHz8ehw8fVo59++23cHV1RUpKikbDERGR5vj4+MDZ2Zkll4jqDbWLbkhICLy9vfHuu+8q\nx+Li4jB16lSsW7dOo+GIiIiIiKpL7aJ748YNeHh4VBr39PTE1atXNRKKiIhUV1BQgB07duCbb74R\nOwoRUa2i9hzdJk2aIDU1FW3atKkwfv36dTRq1EhjwYiI6MUEQUBSUhJiYmKQnZ0NY2Nj9O/fH02a\nNDfCGTIAACAASURBVBE7mmhSUi4jMPAA5HIjyGQFCAgYCQcHG7FjEZFI1C66rq6uWLFiBR4+fAg7\nOzsAwMWLF7F+/XpMmDBB4wGJiKiyW7duISoqCufPn1eOde/eHQqFQsRU4kpJuQx395PIyFgIQAJA\nQHJy9P+3d+dhVZaL+se/CxmFcEJxyHIoxSHNCTX9Oac5VCTuygEFRemUZg57h4qlljllpccpVCyV\nFNI0bdiGZttCT4LHyFJ3DJk4RCimkCII6/eH23Uk0UCGd7HW/bkury3PemDdrHc/cvfyvO9i61ZU\ndkXsVLGL7vPPP09GRgZz5szh2rVrmM1mHB0dCQgIICQkpCwyiojIf1y+fJmoqCh27NhhKbW1atUi\nODiYjh072vWFZvPn//Omkgtg4uTJYBYseIsPP1TRFbFHxS66jo6OzJo1i7///e/8/PPPODo6YjKZ\niI6OplevXhw8eLAscoqICDB37lyOHDkCgJOTE/7+/vj7++Pi4mJwMuOlpbnyfyX3BtN/xkXEHhW7\n6N7g5ORESkoKmzdv5vDhw5hMJvr06VOa2URE5E/8/f05cuQIvr6+BAcHU7t2baMjWQ1v72zATMGy\na/7PuIjYo2IX3RMnThAVFcW2bdv4/fffMZlMDB48mOeee+6WC9RERKR0tW3blsWLF/Pggw8aHcXq\nhIY+RlzcGk6eDObGHt377lvDyy8/ZnQ0ETFIkYrutWvXiImJISoqim+//ZZKlSrRtWtXBg4cyLRp\n0wgKClLJFREpJyq5hWvfvgVbt8KCBW+TluaCt3c2L7+suy6I2LMiFd0ePXqQlZVFx44dee2113j0\n0UepUqUKAKGhoWUaUETEnpw4cYL69etTqVIlo6NUSO3bt9CFZyJiUaQ3jMjMzKR69erUrVuXqlWr\n4ubmVta5RETsyqVLl1ixYgUTJ07kiy++MDqOiIhNKNIZ3djYWD777DO2bt3Kpk2bcHd3p3fv3gwY\nMMCub2UjIlJSeXl5xMTEsGHDBjIzMwHYsmULffv21VldEZESKlLR9fDw4Omnn+bpp58mOTmZLVu2\nsHPnTnbs2IHJZOK9994jODiYBg0alHFcERHbcfz4ccLDw0lKSrKMde/encDAQJVcEZFSYDKbzea7\n+cS8vDy++uortm3bxldffUV+fj6PPPIIa9asKe2M5aZ3794A7Nmzx+AkImLLsrKyiIiIYPfu3Zax\n+++/n5CQEFq2bGlgMhER61ecvnbX99GtVKkSvXv3pnfv3mRkZPDxxx/z0Ucf3e2XExGxG05OTnz/\n/fcAVK5cmeHDhzNgwACdxRURKWVFuhjtr1SvXp2goCB27txZGl+ugMzMTGbMmEGXLl3o3Lkz06ZN\ns+xjK8zrr7+Oj48PzZo1s/xvZGRkqecSEblbLi4ujBkzht69e7Ny5Uoef/xxlVwRkTJw12d0y8sr\nr7zCqVOnWL16NSaTiVdffZWZM2fyzjvvFDo/JSWFqVOn8tRTT1nGPDw8yiuuiEiRdO7cmc6dOxsd\nQ0TEpll10b1y5QoxMTFs2rSJ5s2bAzB9+nRGjBhBTk4Ozs7Ot3xOcnIywcHB1KhRo7zjioiIiIgV\nKZWtC2XFwcGBVatW4ePjYxkzm83k5eVx+fLlW+ZnZWWRlpamuz+IiKESEhJYsmQJd3mtr4iIlBKr\nPqPr4uJC165dC4ytX7+epk2bUrVq1Vvmp6SkYDKZWLlyJfv27aNq1aoEBQXh5+dXXpFFxI6lp6ez\nbt06vvnmGwAeeughevXqZXAqERH7ZXjRvXr1KmlpaYU+VrNmzQLvwrZx40Z27drF2rVrC52fkpKC\ng4MDjRs3JiAggIMHDzJz5kw8PDzo06dPmeQXEcnNzeXjjz8mKiqKq1evAuDp6YmTk5PByURE7Jvh\nRTchIYGRI0cW+g5ry5Yts9wrLTIykrlz5zJjxozbXsDh5+dHr1698PT0BKBJkyacOHGCTZs2qeiK\nSJk4dOgQq1ev5syZM8D1LVf9+/dn+PDhuhBWRMRghhddX19fjh8/fsc5a9euZdGiRYSGhjJixIg7\nzr1Rcm9o1KgR3377bYlzioj82e7du1m6dKnl4+bNmxMSEkLDhg0NTCUiIjcYXnT/yrZt23jzzTeZ\nMWMGAQEBd5y7dOlSDh8+zLp16yxjx44d0w8dESkTjzzyCBs2bAAgMDCQHj16FPrbKRERMYZVF92L\nFy/y2muv4efnR//+/Tl37pzlserVq+Pg4EBGRgaurq5UrlyZnj17Eh4ezrp16+jTpw9ff/01O3bs\nsPwgEhEpTZUrVyYsLIx69epRuXJlo+OIiMifWHXRjY2N5cqVK2zfvp3t27cD128vZjKZ2LNnD3Xr\n1mXIkCEMHjyY8ePH89BDD7F06VKWLFnCkiVLqFevHosXL6ZVq1YGfyciYqsefPBBoyOIiMhtmMy6\n0aPFjQvf9uzZY3ASEbEG2dnZ/PHHH3oDGhERK1KcvmbVbxghImIEs9lMbGwszz//PO+8847e+EFE\npIKy6q0LIiLlLTU1lfDwcBISEgA4d+4cR44c0RYoEZEKSEVXRAS4fPkyUVFR7Nixg7y8PABq1arF\nmDFjeOihhwxOJyIid0NFV0Ts3r59+4iIiCAjIwMAJycn/P398ff3x8XFxeB0IiJyt1R0RcTu/fjj\nj5aS6+vry5gxY6hTp47BqUREpKRUdEXE7o0YMYKUlBSefvppOnToYHQcEREpJSq6ImL37rnnHhYt\nWmR0DBERKWW6vZiIiIiI2CQVXRGxaZmZmaxatYqzZ88aHUVERMqZti6IiE3Ky8tj9+7drF+/nszM\nTM6dO0dYWJjRsUREpByp6IqIzfnpp59YtWoVSUlJljFXV1dyc3NxcnIyMJmIiJQnFV0bFR//I/Pn\n/5O0NFe8vbMJDX2M9u1bGB1LpExdvHiR9evXExMTYxm7//77CQkJoWXLlgYmExERI6jo2qD4+B/x\n99/PyZOTARNgJi5uDVu3orIrNuvSpUv813/9F1lZWQBUrlyZYcOGMWDAABwd9U+diIg90sVoNmj+\n/H9y8mQw10sugImTJ4NZsOCfRsYSKVOenp74+voC0KtXL1auXMkTTzyhkisiYsf0E8AGpaW58n8l\n9wbTf8ZFbNeoUaPo168fzZo1MzqKiIhYARVdG+TtnQ2YKVh2zf8ZF7Fd1apVo1q1akbHEBERK6Gt\nCzYoNPQx7rtvDdfLLoCZ++5bw8svP2ZkLJESO3/+vNERRESkAtEZXRvUvn0Ltm6FBQveJi3NBW/v\nbF5+WXddkIrr3LlzREREEB8fz4oVK/Dy8jI6koiIVAAqujaqffsWfPihiq1UbLm5uezYsYOoqCiy\ns69vvdm8eTPjx483OJmIiFQEKroiYpUOHz5MeHg4p0+fBsDBwYHHHnuM4cOHG5xMREQqChVdEbEq\nv/32G2vWrOF//ud/LGPNmjUjJCSERo0aGZhMREQqGhVdEbEqZ8+etZTcqlWrEhQURI8ePTCZ/nzL\nPBERkTtT0RURq9K6dWu6d+9O1apVGTp0KJUrVzY6koiIVFAquiJidSZPnqwzuCIiUmK6j66IWB2V\nXBERKQ0quiJSbsxmM/v372fv3r1GRxERETugrQsiUi5OnTpFeHg43333He7u7rRp04aqVasaHUtE\nRGyYiq6IlKnLly8THR3Njh07uHbtGgCVK1cmPT1dRVdERMqUiq6IlAmz2czXX39NREQEGRkZADg5\nOTF48GCGDBmCi4uLwQlFRMTWqeiKSJlYunQpe/bssXzcoUMHgoODqVOnjoGpRETEnqjoikiZeOSR\nR9izZw+1a9dm7NixdOjQwehIIiJiZ1R0RaRMdOjQgSlTptC5c2ecnZ2NjiMiInZIRVdEykz37t2N\njiAiInZM99EVkbuSlZVFfn6+0TFERERuS0VXRIolPz+fL774gueee47du3cbHUdEROS2tHVBRIos\nMTGRVatWkZiYCMD69evp1q0brq6uBicTERG5lYquiPylS5cusX79emJiYjCbzQDcd999hISEqOSK\niIjVUtEVkdvKy8tj165dbNy4kaysLOD6u5oNHTqUgQMH4uiof0JERMR66aeUiNxWbm4uW7ZssZTc\nnj17EhgYSLVq1QxOJiIi8tdUdEXktlxdXRk9ejQffvghISEhNG/e3OhIIiIiRaaiKyJ31KVLFzp3\n7kylSpWMjiIiIlIsur2YiNyRyWRSyRURkQpJRVfEjp0/f57Nmzdb7qQgIiJiS7R1QcQO5ebmsmPH\nDqKiosjOzqZOnTp6u14REbE5Kroidubw4cOEh4dz+vRpABwcHCx/FxERsSUquiJ2Ij09nbVr17J/\n/37LmI+PDyEhITRu3NjAZCIiImVDRVfEDhw+fJi5c+eSk5MDQNWqVQkMDKRHjx44OGirvoiI2CYV\nXRE78OCDD+Lm5sa1a9cYNGgQQ4cOxd3d3ehYIiIiZcrqi25GRgazZs1i//79uLq64ufnx+TJk297\nFurUqVPMnDmT7777jnr16jFt2jS6dOlSzqlFrIuHhweTJk2ievXqNGjQwOg4IiIi5cLqf2c5depU\n/vjjD6Kjo1myZAmffvopa9asue38F154gVq1arF161aeeOIJxo8fz6+//lqOiUWsU9u2bVVyRUTE\nrlj1Gd2cnBy8vLyYMGEC9evXB6Bfv34cOnSo0PkHDhwgNTWV6OhoXFxcGDduHAcOHGDLli2MHz++\nPKOLlCuz2Ux2djZubm5GRxEREbEaVl10nZ2dWbhwoeXjxMREvvzyS5599tlC53///fe0aNECFxcX\ny1i7du347rvvyjyriFFOnTrF6tWrAZg1axYmk8ngRCIiItbBqovuzQICAoiLi6Nly5YMGzas0Dnp\n6enUqlWrwFiNGjVIS0srj4gi5erKlStER0fz8ccfc+3aNQDi4uLw9fU1OJmIiIh1MLzoXr169bZF\ntGbNmpZfxYaFhXHp0iXmzJnDpEmTWLly5S3zr1y5grOzc4ExZ2dnyy2VRGyB2Wzmm2++ISIigvPn\nzwPg6OjI4MGDadWqlcHpRERErIfhRTchIYGRI0cW+uvWZcuW0bt3bwCaNm0KwLx58xgyZAhnzpyh\nbt26Bea7uLhw8eLFAmM5OTm4urqWUXqR8vXLL78QHh7OkSNHLGPt27cnODj4lvUgIiJi7wwvur6+\nvhw/frzQx7Kysvjss88YMGCAZeyBBx4A4MKFC7f8YPf29iYpKanA2Llz56hZs2YppxYxxieffGIp\nud7e3owdO5YOHTpoX66IiEghrPr2YtnZ2UyePJmEhATL2A8//ICjo2Oht0lq3bo1R48eLbBV4dCh\nQzz88MPlEVekzAUEBFC9enWGDRvGsmXL8PX1VckVERG5Dasuul5eXvTt25c5c+Zw7Ngx4uPjCQsL\nIyAgwPKuThkZGVy+fBm4fna4Tp06hIaGkpSUZPkV75AhQ4z8NkRKjaenJ+Hh4Tz77LMF7i4iIiIi\nt7Lqogvwxhtv4OPjw+jRo5kwYQI9e/ZkypQplseHDBlCREQEAA4ODqxYsYL09HT8/f3ZuXMny5cv\np3bt2kbFFyl1f77gUkRERApnMpvNZqNDWIsbF77t2bPH4CRij/Lz89mzZw+tW7e+5TZ5IiIicl1x\n+prhF6OJyPU3Q3n33Xf56aef6NSpE9OnTzc6koiISIWnoitioEuXLrF+/XpiYmK48cuV06dP88cf\nf1j2oYuIiMjdUdEVMUBeXh67du1i48aNZGVlAeDm5sbQoUMZNGgQjo5amiIiIiWln6Yi5ezq1auE\nhoaSnJxsGevRoweBgYFUr17dwGQiIiK2RUVXpJy5uLhw7733kpycTIMGDQgJCaFFixZGxxIREbE5\nKroiBggMDKRp06b079+fSpUqGR1HRETEJqnoihigRo0aDBo0yOgYIiIiNs3q3zBCpCLKzc01OoKI\niIjdU9EVKUW5ubl89NFHjB07loyMDKPjiIiI2DUVXZFS8t133zFx4kTee+89MjIyeO+994yOJCIi\nYte0R1ekhNLT01m7di379++3jDVt2pQnn3zSwFQiIiKioityl3Jzc9m2bRvR0dHk5OQAUKVKFQID\nA+nZsycODvqFiYiIiJFUdEXu0tGjR9m4cSMADg4ODBw4kKFDh+Lh4WFwMhEREQEVXZG71rp1azp1\n6kRmZibjxo2jYcOGRkcSERGRm6joipTApEmTcHV1xWQyGR1FRERE/kRFV6QE3NzcjI4gIiIit6Gr\nZURu4/Tp08TFxRkdQ0RERO6SzuiK/El2djZRUVF8/PHHuLq6smrVKjw9PY2OJSIiIsWkoivyH2az\nmdjYWCIiIjh37hxwvfQePXqUTp06GZxOREREiktFVwQ4efIk4eHhfP/995axdu3aMXbsWOrWrWtg\nMhEREblbKrpi9z766CM2bNhAXl4eAN7e3gQHB+Pr66u7KYiIiFRgKrpi9+rWrUteXh7Ozs74+/sz\nePBgXFxcjI4lIiIiJaSiK3avY8eODB8+nO7du1O7dm2j44iIiEgpUdEVu2cymXjmmWeMjiEiIiKl\nTPfRFZuXn59Pfn6+0TFERESknKnoik1LTEzkH//4B3v37jU6ioiIiJQzbV0Qm3Tp0iU2bNjAF198\ngdlsJi0tjY4dO+Lh4WF0NBERESknKrpiU/Ly8vjiiy/YuHEjmZmZALi5uTF48GBcXV0NTiciIiLl\nSUVXbMbx48d59913SU5Otoz16NGDwMBAqlevbmAyERERMYKKrtiE3NxcFixYwPnz5wFo0KABISEh\ntGjRwuBkIiIiYhQVXbEJTk5OBAYGsmrVKoYPH07//v2pVKmS0bFErFJ8/I/Mn/9P0tJc8fbOJjT0\nMdq3138Uitgie1/vKrpiM7p160abNm3w9PQ0OoqI1YqP/xF///2cPDkZMAFm4uLWsHUrdvXDT8Qe\naL3r9mJiQ0wmk0quyF+YP/+fnDwZzPUfegAmTp4MZsGCfxoZS0TKgNa7iq5UENeuXeNf//oXZrPZ\n6CgiFVpamiv/90PvBtN/xkXElmi9a+uCVAAJCQmEh4eTmppKpUqV6Nq1q9GRRCosb+9swEzBH37m\n/4yLiC3RetcZXbFi6enpLFiwgJkzZ5KamgrAN998Y3AqkYotNPQx7rtvDdd/+AGYue++Nbz88mNG\nxhKRMqD1rjO6YoVyc3PZtm0bH374IVevXgWgSpUqjBo1il69ehmcTqRia9++BVu3woIFb5OW5oK3\ndzYvv2xfV2GL2AutdxVdsTI///wz8+fP5+zZswA4ODgwYMAAhg0bprfvFSkl7du34MMP7ecHnYg9\ns/f1rqIrVsXLy4s//vgDgObNmxMSEkLDhg0NTiUiIiIVkYquWJV77rmHcePGkZ+fT/fu3TGZ/ny1\nqIiIiEjRqOiK1enWrZvREURERMQG6K4LUu50L1wREREpDyq6Um6ys7PZsGEDCxYsMDqKiIiI2AFt\nXZAyZzab2b9/P2vXruXcuXMAxMXF0aFDB4OTiYiIiC1T0ZUylZqaSnh4OAkJCZaxtm3bUq9ePQNT\niYiIiD1Q0ZUycfnyZaKiotixYwd5eXkA1KpVi+DgYDp27Ki7KYiIiEiZU9GVMhEZGcnOnTsBcHJy\nwt/fH39/f1xcXAxOJiIiIvZCRVfKxJAhQ/jyyy9p0aIFwcHB1K5d2+hIIiIiYmesvuhmZGQwa9Ys\n9u/fj6urK35+fkyePBkHh8JvGPH666+zceNGTCYTZrMZk8lEWFgYw4cPL+fk9q1atWosXbqUmjVr\nGh1FRERE7JTVF92pU6diMpmIjo7mwoULTJ06FU9PT8aNG1fo/JSUFKZOncpTTz1lGfPw8CivuHIT\nlVwRERExklUX3ZycHLy8vJgwYQL169cHoF+/fhw6dOi2n5OcnExwcDA1atQor5h2KSkpiapVq+Ll\n5WV0FBEREZFCWfUbRjg7O7Nw4UJLyU1MTOTLL7+kY8eOhc7PysoiLS2NBg0alGNK+3Lp0iVWrFjB\nlClTiIiIMDqOiIiIyG1Z9RndmwUEBBAXF0fLli0ZNmxYoXNSUlIwmUysXLmSffv2UbVqVYKCgvDz\n8yvntLYnLy+PmJgYNmzYQGZmJgCHDh3i/PnzOnsuIiIiVsnwonv16lXS0tIKfaxmzZq4ubkBEBYW\nxqVLl5gzZw6TJk1i5cqVt8xPSUnBwcGBxo0bExAQwMGDB5k5cyYeHh706dOnTL8PW3b8+HHCw8NJ\nSkqyjHXv3p3AwECVXBEREbFahhfdhIQERo4cWegbCCxbtozevXsD0LRpUwDmzZvHkCFDOHPmDHXr\n1i0w38/Pj169euHp6QlAkyZNOHHiBJs2bVLRvQt5eXksX76c3bt3W8buv/9+QkJCaNmypYHJRERE\nRP6a4UXX19eX48ePF/pYVlYWn332GQMGDLCMPfDAAwBcuHDhlqILWEruDY0aNeLbb78txcT2o1Kl\nSmRnZwNQuXJlhg8fzoABA6hUqZLByURERET+muFF906ys7OZPHky9erVo3Xr1gD88MMPODo6FnrB\n2dKlSzl8+DDr1q2zjB07doyGDRuWV2SbM3r0aNzd3Rk2bBjVqlUzOo6IiIhIkVn1XRe8vLzo27cv\nc+bM4dixY8THxxMWFkZAQADu7u7A9TeUuHz5MgA9e/YkLi6OdevWkZqaygcffMCOHTsIDg428tuo\n0Ly8vHjhhRdUckVERKTCseqiC/DGG2/g4+PD6NGjmTBhAj179mTKlCmWx4cMGWK5zdVDDz3E0qVL\n2b59O48//jiRkZEsXryYVq1aGRVfRERERAxiMpvNZqNDWIsbF77t2bPH4CTlIyEhgcjISKZNm6Yz\ntiIiIlIhFKevWfUeXSkb6enpREREEBsbC8D69euZOHGiwalERERESpeKrh3Jzc1l+/btREdHc/Xq\nVeD6XSqaN29ucDIRERGR0qeiaycOHTrE6tWrOXPmDAAODg7079+f4cOH4+HhYXA6ERERkdKnomsH\nfvrpJ2bPnm35uFmzZoSEhNCoUSMDU4mIiIiULRVdO9CkSRM6dOhAYmIiQUFB9OjRo9B3ohMRERGx\nJSq6duKFF17A1dWVypUrGx1FREREpFyo6NqJ6tWrGx1BREREpFyp6N7kt99+Iy8vz3J/torCbDZz\n7do1nJycjI4iIiIiUqbOnj1LpUqVijTX6t8ZrTy5uLjg6Fjxur/JZFLJFREREbvg6OiIi4tLkebq\nndFERERExCbpjK6IiIiI2CQVXRERERGxSSq6IiIiImKTVHRFRERExCap6IqIiIiITVLRFRERERGb\npKIrIiIiIjZJRVdEREREbJKKroiIiIjYJBVdua2MjAxefPFF2rdvT9euXXnzzTfJz8+/7fzXX38d\nHx8fmjVrZvnfyMjIckxs24p7PE6dOkVQUBBt2rRh0KBBxMbGlmNa+5CZmcmMGTPo0qULnTt3Ztq0\naWRmZt52vtZI2Sru8dAaKT9jxoxh+/btd5yj9VF+inI8bGV9OBodQKzX1KlTMZlMREdHc+HCBaZO\nnYqnpyfjxo0rdH5KSgpTp07lqaeesox5eHiUV1ybV9zj8cILL+Dj48PWrVvZvXs348eP5/PPP6d2\n7drlnNx2vfLKK5w6dYrVq1djMpl49dVXmTlzJu+8806h87VGylZxj4fWSNkzm828/vrr7N+/n8cf\nf/yOc7U+yl5xjoetrA8VXSlUTk4OXl5eTJgwgfr16wPQr18/Dh06dNvPSU5OJjg4mBo1apRXTLtR\n3ONx4MABUlNTiY6OxsXFhXHjxnHgwAG2bNnC+PHjyzO6zbpy5QoxMTFs2rSJ5s2bAzB9+nRGjBhB\nTk4Ozs7Ot3yO1kjZKe7x0Bope2lpafz973/n1KlTeHp6/uV8rY+yVZzjYUvrQ1sXpFDOzs4sXLjQ\nUqoSExP58ssv6dixY6Hzs7KySEtLo0GDBuWY0n4U93h8//33tGjRAhcXF8tYu3bt+O6778olrz1w\ncHBg1apV+Pj4WMbMZjN5eXlcvnz5lvlaI2WruMdDa6TsHT16lLp16/LRRx/h7u5+x7laH2WvOMfD\nltaHzujKXwoICCAuLo6WLVsybNiwQuekpKRgMplYuXIl+/bto2rVqgQFBeHn51fOaW1fUY5Heno6\ntWrVKjBWo0YN0tLSyiOiXXBxcaFr164FxtavX0/Tpk2pWrXqLfO1RspWcY+H1kjZ69mzJz179izS\nXK2Pslec42FL60NF145dvXr1tv+nrVmzJm5ubgCEhYVx6dIl5syZw6RJk1i5cuUt81NSUnBwcKBx\n48YEBARw8OBBZs6ciYeHB3369CnT78NWlObxuHLlyi2/qnV2diYnJ6f0g9uwoh4TgI0bN7Jr1y7W\nrl1b6HytkZIrzeOhNVJyxTkef0Xro+RK83jY0vpQ0bVjCQkJjBw5EpPJdMtjy5Yto3fv3gA0bdoU\ngHnz5jFkyBDOnDlD3bp1C8z38/OjV69eln0/TZo04cSJE2zatEn/SBVRaR4PFxcXLl68WGAsJycH\nV1fXMkpvm4p6TCIjI5k7dy4zZsygc+fOhX4trZGSK83joTVSckU9HkWh9VFypXk8bGl9qOjaMV9f\nX44fP17oY1lZWXz22WcMGDDAMvbAAw8AcOHChVuKFXDL5vZGjRrx7bfflmJi21aax8Pb25ukpKQC\nY+fOnaNmzZqlnNq23emY3LB27VoWLVpEaGgoI0aMuONcrZGSKc3joTVSckU5HsWh9VEypXk8bGl9\n6GI0KVR2djaTJ08mISHBMvbDDz/g6OhY6MUCS5cuJSgoqMDYsWPHaNiwYVlHtQvFPR6tW7fm6NGj\nBX7NdOjQIR5++OHyiGs3tm3bxptvvsmMGTMIDAy841ytkbJXnOOhNWJdtD6siy2tDxVdKZSXlxd9\n+/Zlzpw5HDt2jPj4eMLCwggICLBcrZmRkWG5mrlnz57ExcWxbt06UlNT+eCDD9ixYwfBwcFGFyuE\nWwAADH9JREFUfhs2o7jHw9fXlzp16hAaGkpSUhLh4eEcOXKEIUOGGPlt2JSLFy/y2muv4efnR//+\n/Tl37pzlz4038tAaKT/FPR5aI8bT+rAuNrs+zCK3kZmZaZ4+fbq5U6dO5k6dOpnnz59vzs3NtTze\ns2dP83//939bPt6zZ4/5iSeeMLdu3do8YMAAc0xMjBGxbVZxj8fJkyfNI0aMMLdq1co8aNAg84ED\nB4yIbbM+/fRTs4+PT4E/TZs2Nfv4+JhPnz5tNpu1RsrT3RwPrZHy06tXL/O2bdsKjGl9GKcox8NW\n1ofJbDabjS7bIiIiIiKlTVsXRERERMQmqeiKiIiIiE1S0RURERERm6SiKyIiIiI2SUVXRERERGyS\niq6IiIiI2CQVXRERERGxSSq6IiIiImKTVHRFRERExCap6IqI1erVqxc+Pj6WP82aNaNdu3YEBAQQ\nHx9f6s938OBBfHx8OHPmDAABAQFMmzatSJ975coVIiMjS/T8p0+fxsfHh7i4uEIfv/Ea3Pya3Pza\nFDXrtWvXeP/994ucKy8vDx8fH3bu3Fno4927d79tLh8fH0aPHl3k57obXbt2ZfXq1WX6HCJSMTka\nHUBE5E7GjBljKUpms5nff/+dxYsXM3bsWD7//HNq165dqs9nMpksf1++fDkODkU7H7B27Vq2bdvG\n8OHDS+35/yw2Ntby908//ZR58+YRGxvLjXdyd3FxKdJzbN++nUWLFjFq1KgSZb356+Xn5wMQFxfH\npEmT2LZtGzVr1gTA2dm5VJ7ndnbu3Imbm1uZPoeIVEwquiJi1dzc3KhRo4blYy8vL2bPnk23bt2I\niYkhICCgzJ7b09OzyHNvlM2SutPXufl1uOeeewCoXr16qT7H3ahWrZrl71WqVLGM3Zy3LN38/CIi\nN9PWBRGpcCpVqgSAq6srcH2Lw4IFCxg4cCCdO3e2bGtYvXo1ffr04eGHH+app5665Vfv8fHxPP30\n07Ru3Ro/Pz+OHz9e4PE/b134/vvvCQoKok2bNnTp0oVZs2aRnZ3NsmXLWL58OadPn6ZZs2aWrQ9b\nt25lwIABtG7dmoEDB7J+/foCJTMxMZFRo0bRpk0b+vXrx4EDB+54Rreozp49y5QpU+jSpQtt2rQh\nODiYxMREAD788ENmzpzJtWvXaNasGf/7v/+L2Wxm5cqV9OvXj5YtW9KuXTvGjRvHqVOnSpzlZhcv\nXmTatGl06tSJDh06MHr06AKv+eLFixk9ejQvvvgi7dq1Y+HChWzevJm+ffsSGRlJ165dadeuHRMn\nTiQjI8PyeTdvXVi8eDHPPfccK1asoFu3brRq1YpRo0Zx8uTJIue4fPkyoaGhdOnShVatWjF48GD2\n7t1bqq+FiJQPFV0RqVDS0tKYM2cO7u7udOvWzTL+wQcfMHPmTNasWUPr1q156623iIqK4pVXXmHn\nzp2MHDmS2bNns2nTJgBSU1MZM2YMLVq0YPv27bzwwgssX778ts+bmprKqFGjqF27Nlu2bGHZsmXE\nxsYye/ZsxowZQ1BQEHXq1CE2NpbatWsTFRXFokWLmDBhAp9++ikvvfQSq1evZvHixQBkZWURGBhI\nlSpV2LJlC7NmzWLFihUlfn2ysrJ45plnyMjIIDw8nM2bN+Pk5MTw4cNJS0vjySefJDQ0FEdHR2Jj\nY2nVqhURERGsX7+esLAwYmJiWL58OcnJySxatKjEeW7Iz89n9OjRnD9/nrVr1xIVFYWPjw/PPPMM\nycnJlnn79+/n/vvvZ/v27QwdOhSAM2fOEB0dzfLly1m3bh2//PILY8eOve1zxcbGcuzYMSIiIoiM\njOTXX39l7ty5Rc6xaNEiUlNTiYiI4PPPP6djx45MnDiR9PT0Uns9RKR8aOuCiFi1d999l7Vr1wLX\nL4rKzc2lcePGLFmyBG9vb8u87t2706lTJ+D6hWHvv/8+b731lqUM169fn1OnTrFmzRqGDh1KdHQ0\nNWvW5JVXXsFkMtGwYUPOnDnD/PnzC80RHR1NtWrVmDt3rmXf7ty5czl8+DBubm64u7vj4OBg2Uqw\ncuVKnn/+efr37w/AvffeS2ZmJrNnz+bFF1/kk08+4cqVK8ybNw93d3caN27M9OnTmTBhQoler23b\ntpGVlcWSJUssWy/efvtt+vTpwwcffMCkSZNwd3cH/m/bQ8OGDVmwYAH/7//9PwDq1KlD3759+eqr\nr0qU5Wb79u3j3//+N3FxcZb9tP/4xz+Ij49nw4YNzJo1C7h+tn7ChAkF9vXm5eXx1ltv0bhxYwDm\nz5+Pn58f8fHxtG/fvtDnW7hwoeV5/P39LWd8i5IjNTUVd3d36tWrh4eHB5MnT6Zr166W101EKg4V\nXRGxas8++ywjR44EwMHBgSpVquDh4XHLvPvvv9/y96SkJK5evcrUqVMLzMnPzyc3N5ecnBwSExNp\n3rx5ga0Cbdq0uW2OxMREWrZsWeDiNF9fX3x9fW+Zm5GRwa+//spbb73F22+/bRk3m83k5uZy6tQp\nEhMTadCgQYHy1LZt2xLvn01MTKRRo0YF9he7urrSsmVLfvrpp0I/p1evXiQkJLBkyRJ+/vlnfv75\nZ5KSkrj33ntLlOVmR48eJS8vj0ceeaTAeG5urmULCoC3t/ctF69Vr17dUnLh+t0n3Nzc+Pe//11o\n0fX29i5wcZqnpye5ublFzhESEsL48ePp1KmTZZvKoEGDqFy58l1+9yJiFBVdEbFqVapUoX79+n85\n7+Y7Dtwoi++88w6NGjW6Za6Tk1OBeX8eL4yjY9H/ubzxdadPn07nzp1vefx2d4ooznPc6bkL2+eb\nn59foFDebMWKFaxevZrBgwfTpUsXRo8eza5du9i9e3eJ89z8/NWrV2fz5s23PHZzsS0sY2GvS15e\n3m1fr8Lu8nDjmBQlR4cOHdi3bx/ffPMNBw4cYMuWLSxfvpz333+ftm3b3uY7FBFrpD26ImJzGjVq\nhKOjI2fOnKF+/fqWP3v37mXt2rWYTCaaNWvGkSNHuHbtmuXzjhw5ctuv2bhxY3788ccC5TgmJoZe\nvXqRk5NTYG6NGjWoUaMGJ0+eLPD8R44csZzhbdasGT///DO///57gecv6cVoTZs2JSkpiYsXL1rG\nrly5wo8//sgDDzwA3HoLs/DwcCZOnMjMmTP529/+RqtWrUhJSSnVuzM0adKECxcuABR4TZYvX86/\n/vWvO37uuXPnSEtLs3z8ww8/kJubS/Pmzcskx9tvv01CQgK9e/cmLCyMXbt2UatWLWJiYor9fCJi\nLBVdEbE5Hh4ePPvss7zzzjvs2LGD1NRUtmzZwptvvkmtWrUAGDp0KFeuXGH69OkkJyezd+9eli1b\ndtuvOXz4cH7//XdeffVVkpOTiYuLY9GiRXTp0gVnZ2fc3d25dOkSJ06c4Nq1awQHB7NhwwYiIyNJ\nTU0lJiaG2bNn4+bmhpOTEwMHDqRGjRpMmTKF48ePc/DgQd54440Sf+9PPPEEnp6evPTSS/zwww8c\nP36cqVOnkpuby9/+9jcAKleuTF5eHsePHycnJ4fatWvz9ddfk5ycTEpKCm+99RZ79+69pcAXVWEF\nuWfPnjRq1IiJEycSHx/PL7/8wuzZs/nkk09o0qTJHb9eXl4eU6dO5dixYxw6dIhp06bRsWNHHnro\noWJnK0qOEydOMGvWLA4ePMiZM2f47LPPSE9P19lckQpIRVdErFZRz24WNm/69OkEBgaydOlSBg4c\nyOrVq3nppZd4/vnnAahVqxbvv/8+Z8+exd/fn4ULF1oeK0ytWrWIiIggJSWFwYMHM2XKFHr37s3M\nmTMB6Nu3L15eXjz55JMcPXqUoKAgQkNDiYyMZMCAAcybN49nn33WctGVm5sb69evx8nJiWHDhhEa\nGnrHOwkUlaenJxs3bsTd3Z1Ro0YxYsQI8vLy2LRpE3Xq1AGgS5cutGjRgqeffpp9+/axePFi/vjj\nD4YMGcLIkSNJSUlh1qxZpKen89tvv932Nb6dwuY6OTnx/vvv8+CDDzJ+/Hj8/Pw4evQo7777Lg8/\n/PAdv56LiwuPPvooo0eP5vnnn+fhhx++5T9KipqvKDnmzp1L27ZtmTJlCo899hirVq0iLCyMRx99\ntIivgIhYC5O5tO8cLiIiUko2b97MvHnzSEhIMDqKiFRAOqMrIiIiIjZJRVdEREREbJK2LoiIiIiI\nTdIZXRERERGxSSq6IiIiImKTVHRFRERExCap6IqIiIiITVLRFRERERGbpKIrIiIiIjZJRVdERERE\nbJKKroiIiIjYpP8PWgkWt7O1+VsAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1137f5fd0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "{'Gaussian Regressor Model': {'Linalool': {'Sample Standard Deviation': 0.7327355700131791, 'Sample Mean': -0.01065437229773214}, 'Geraniol': {'Sample Standard Deviation': 1.3216945583701518, 'Sample Mean': 0.07599621108895731}, 'Total Terpines': {'Sample Standard Deviation': 0.923658781215894, 'Sample Mean': -0.10497009337441125}}}\n"
     ]
    }
   ],
   "source": [
    "#Build & Cross Validate Gaussian Regressor Model\n",
    "\n",
    "#Define Learning Model\n",
    "gaussian_linear = Pipeline([('Scaler',StandardScaler()), ('Gaussian',GaussianProcessRegressor(normalize_y=True,alpha=1e-2))])\n",
    "\n",
    "gaussian_regressor_predictions = []\n",
    "for i in range(len(test_data)):\n",
    "\n",
    "    X_test = test_data[i][2:]\n",
    "    Y_test = test_data[i][:2].tolist()\n",
    "    \n",
    "    X_train = [x[2:].tolist() for j,x in enumerate(test_data) if j != i]\n",
    "    Y_train = [x[:2].tolist() for j,x in enumerate(test_data) if j != i]\n",
    "    \n",
    "    y_predict = []\n",
    "    for k in range(2):\n",
    "        y_train = [y[k] for y in Y_train]\n",
    "        gaussian_linear.fit(X_train,y_train)\n",
    "        y_predict.append(gaussian_linear.predict(np.array(X_test).reshape(1,-1))[0].tolist())\n",
    "    gaussian_regressor_predictions.append([y_predict,Y_test])\n",
    "\n",
    "mu_vec,sigma_vec = plot_model_accuracy(gaussian_regressor_predictions,log=log_log_plot)\n",
    "report['Gaussian Regressor Model'] = {'Linalool':{'Sample Mean':mu_vec[0]}}\n",
    "report['Gaussian Regressor Model']['Linalool']['Sample Standard Deviation'] = sigma_vec[0]\n",
    "report['Gaussian Regressor Model']['Geraniol'] = {'Sample Mean':mu_vec[1]}\n",
    "report['Gaussian Regressor Model']['Geraniol']['Sample Standard Deviation'] = sigma_vec[1]\n",
    "report['Gaussian Regressor Model']['Total Terpines'] = {'Sample Mean':mu_vec[2]}\n",
    "report['Gaussian Regressor Model']['Total Terpines']['Sample Standard Deviation'] = sigma_vec[2]\n",
    "print(report)\n",
    "\n",
    "\n",
    "#Gaussian Regressor Model Class\n",
    "#Create Object Oriented Kinetic Model\n",
    "class gaussian_model_class:\n",
    "    def __init__(self,output):\n",
    "        self.output = output\n",
    "        X_train = [x[2:].tolist() for j,x in enumerate(test_data)]\n",
    "        Y_train = [x[:2].tolist() for j,x in enumerate(test_data)]\n",
    "\n",
    "        if output == 'linalool':\n",
    "            k=0\n",
    "            y_train = [y[k] for y in Y_train]\n",
    "            gaussian_linear.fit(X_train,y_train)\n",
    "\n",
    "        elif output == 'geraniol':\n",
    "            k=1\n",
    "            y_train = [y[k] for y in Y_train]\n",
    "            gaussian_linear.fit(X_train,y_train)\n",
    "\n",
    "    def predict(self,X):\n",
    "        prediction = gaussian_linear.predict(np.array(X).reshape(1,-1))[0].tolist()\n",
    "        return prediction"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Linear Model\n",
    "The linear model incorporates two observations from the original data set and combines them together into a composite model which does well at predicting linalool and geraniol from the proteomics data. The first observation was FPPS and tHMG1 are both positively correlated with increasing total terpine flux.  Second, the flux normalized ratio of geraniol to linalool was predicted by the ratio of LIS to GerS. As a result we trained a model to predict total terpine flux from tHMG1 and FPPS. Additionally we trained models to learn to predict the ratio of linalool to geraniol from the ratio of LIS to GerS. Then using all proteins we can predict the total terpine flux, and the ratio of the flux that goes down each pathway.  Multiplying total flux by the ratio of flux through linalool will yeild total linalool flux. Similarly, multiplying total flux by the ratio of flux through geraniol will yeild total geraniol flux.   Mathematically the predictions of these models can be found by\n",
    "\n",
    "$Total Terpine Production = \\alpha_1[tHMG1] + \\alpha_2[FPPS] + \\alpha_3$\n",
    "\n",
    "$Percent Geraniol Production = \\alpha_4[LIS] + \\alpha_5[GerS] + \\alpha_6$\n",
    "\n",
    "$Percent Linalool Production = \\alpha_7[LIS] + \\alpha_8[GerS] + \\alpha_9$\n",
    "\n",
    "$Linalool = Total Terpine Production * Percent Linalool Production$\n",
    "\n",
    "$Geraniol = Total Terpine Production * Percent Geraniol Production$\n",
    "\n",
    "The Coefficients ($\\alpha_i$) above were calculated using linear machine learning models implemented in Scikit Learn. The composite model was validated using leave one out cross validation. The moments of the error residuals of the model are presented below"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false,
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/usr/local/lib/python3.5/site-packages/ipykernel/__main__.py:28: SettingWithCopyWarning: \n",
      "A value is trying to be set on a copy of a slice from a DataFrame.\n",
      "Try using .loc[row_indexer,col_indexer] = value instead\n",
      "\n",
      "See the caveats in the documentation: http://pandas.pydata.org/pandas-docs/stable/indexing.html#indexing-view-versus-copy\n",
      "/usr/local/lib/python3.5/site-packages/ipykernel/__main__.py:35: SettingWithCopyWarning: \n",
      "A value is trying to be set on a copy of a slice from a DataFrame.\n",
      "Try using .loc[row_indexer,col_indexer] = value instead\n",
      "\n",
      "See the caveats in the documentation: http://pandas.pydata.org/pandas-docs/stable/indexing.html#indexing-view-versus-copy\n",
      "/usr/local/lib/python3.5/site-packages/ipykernel/__main__.py:39: SettingWithCopyWarning: \n",
      "A value is trying to be set on a copy of a slice from a DataFrame.\n",
      "Try using .loc[row_indexer,col_indexer] = value instead\n",
      "\n",
      "See the caveats in the documentation: http://pandas.pydata.org/pandas-docs/stable/indexing.html#indexing-view-versus-copy\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>tHMG1</th>\n",
       "      <th>FPPS</th>\n",
       "      <th>Total Terpines</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>13453.779720</td>\n",
       "      <td>26290.895530</td>\n",
       "      <td>0.363567</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>16710.980060</td>\n",
       "      <td>30271.121220</td>\n",
       "      <td>0.704773</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>9571.769270</td>\n",
       "      <td>10945.529760</td>\n",
       "      <td>0.387424</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>6758.793097</td>\n",
       "      <td>9092.045856</td>\n",
       "      <td>0.171535</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>11020.565660</td>\n",
       "      <td>14877.566310</td>\n",
       "      <td>0.158929</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>9319.016448</td>\n",
       "      <td>14119.950450</td>\n",
       "      <td>0.126697</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>15704.778600</td>\n",
       "      <td>8995.310570</td>\n",
       "      <td>0.137308</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>8778.641185</td>\n",
       "      <td>22922.218850</td>\n",
       "      <td>0.395085</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>9743.994817</td>\n",
       "      <td>18081.903990</td>\n",
       "      <td>0.282584</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>5795.769732</td>\n",
       "      <td>9286.386221</td>\n",
       "      <td>0.447290</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>6356.994069</td>\n",
       "      <td>11020.338470</td>\n",
       "      <td>0.069620</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>5754.331226</td>\n",
       "      <td>9356.943327</td>\n",
       "      <td>0.036000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>8227.666129</td>\n",
       "      <td>8338.383016</td>\n",
       "      <td>0.094087</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16</th>\n",
       "      <td>2900.500737</td>\n",
       "      <td>23202.188420</td>\n",
       "      <td>0.372439</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>2983.832120</td>\n",
       "      <td>14838.114050</td>\n",
       "      <td>0.036000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "           tHMG1          FPPS  Total Terpines\n",
       "0   13453.779720  26290.895530        0.363567\n",
       "2   16710.980060  30271.121220        0.704773\n",
       "3    9571.769270  10945.529760        0.387424\n",
       "4    6758.793097   9092.045856        0.171535\n",
       "5   11020.565660  14877.566310        0.158929\n",
       "6    9319.016448  14119.950450        0.126697\n",
       "7   15704.778600   8995.310570        0.137308\n",
       "10   8778.641185  22922.218850        0.395085\n",
       "11   9743.994817  18081.903990        0.282584\n",
       "12   5795.769732   9286.386221        0.447290\n",
       "13   6356.994069  11020.338470        0.069620\n",
       "14   5754.331226   9356.943327        0.036000\n",
       "15   8227.666129   8338.383016        0.094087\n",
       "16   2900.500737  23202.188420        0.372439\n",
       "17   2983.832120  14838.114050        0.036000"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/usr/local/lib/python3.5/site-packages/sklearn/utils/validation.py:526: DataConversionWarning: A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "  y = column_or_1d(y, warn=True)\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Residual Mean:  0.2840080861602499  Residual Standard Deviation:  0.9137118454661237\n",
      "90% of the predictions are within  1.5030559857917736  of the actual value.\n"
     ]
    },
    {
     "data": {
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cuZIlS5ZQp04dpkyZYtlKrFu3bqxbt46oqCj69u3L5MmTiY6OZsGCBaxatYo33niD6tWr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\nf5IAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10cce9be0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Residual Mean:  0.3061569898840497  Residual Standard Deviation:  1.2078091545335878\n",
      "90% of the predictions are within  1.986846059207752  of the actual value.\n"
     ]
    },
    {
     "data": {
      "image/png": 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ljf3ggw/w7rvvIiQkBEOHDoVKpcKWLVtw4cIFcZ5o6QoMgYGBmD59OoqLi7F8+XKYm5tX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\n/wPKOuhCL3DdzQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1137dae48>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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00a4zkqSpYwZqcHJ/U/Pgy+WMTFTklRUK9jAKCsAEfhXQ5ORk1dXVyePxdByr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\nefPmkZqaek0ATUtLQ6PRsHjxYgCWLFnCwYMH2b1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      "text/plain": [
       "<matplotlib.figure.Figure at 0x112264828>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Residual Mean:  0.2014871730116581  Residual Standard Deviation:  0.9320264973026205\n",
      "90% of the predictions are within  1.5331835880628109  of the actual value.\n"
     ]
    },
    {
     "data": {
      "image/png": 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OIKtcv5vl8ePHmD9/PpKSklC3bl2UK1cuV5Z3r+BREH9/f5w7dw6bN28W5gln69WrF+bO\nnQsg6wx2QEAA+vbti/j4eK0XJz5+/BhnzpyBn58f3N3d0bx5c+G/li1bolOnTti/fz/i4+NRp04d\n2Nvb5zpGmzdvxqhRo5CRkZHr58nCwgIWFha55mK/e6OYp0+f4uHDh/j000/h7OwslPejR49CIpHw\nTDCRlngmmIgAZL39PGzYMCxbtkyYt/nXX39h4cKFqFevnjCPNvvs1t69e9GuXTs0aNAAUqkUs2fP\nxuDBg5GcnIywsDDhLLAuN1fQxieffIINGzZg0KBB+PzzzyGTyXDkyBH89ttvGDly5HvP5mk0Gvz0\n0094/fo1qlSpgvXr1yM2NhazZ8/+4Ew+Pj5wc3PDyJEjMXr0aFSvXh0XLlxASEgIOnfuDDs7O7i7\nuyMtLQ1ffPEFhg0bBmtra2zfvh1paWno3LnzB7/2+2hzvGrXrg25XI45c+YgOTkZdevWxZYtW3D/\n/v189+vo6IjPPvtM+H5p2rQpzp8/j7CwMGFesL29PVJTU7F37140atQIDRs2ROfOnTFx4kR88cUX\nqF+/Pu7evYtffvkFdevWFd6B+Prrr/Hdd99h+vTp8PHxQUREBMLCwrT6fL28vGBjY4MtW7bkWCAI\nZC2EW7NmDRwcHODm5oZHjx5h7dq1aNeunTDd5e7du0hPT89zPjmQtSBOo9Hke+c8uVyO7du3Iyws\nDCNGjMDo0aMxe/Zs2Nvbw9PTE7dv38bSpUsxePBgWFtbo2TJksI/QNq0aYPq1avD09MTKpUKDRo0\nEG7e8m4prlChAhwdHbF69WqUKVMGtra2OHLkiHA1D33/zBEVVyzBRCYov6L45ZdfQiaT4ffff8fG\njRtRunRp9OjRA+PGjYOFhQWArCsAtGrVCnPnzsXZs2cREhKCefPmYdGiRfjiiy9QqlQpNG7cGKtX\nr8bAgQNx/vx51KxZs8DX1SWjnZ0dNmzYgHnz5iE4OBivX79G5cqVMXnyZAwYMCDHx+e1D4lEgv/+\n979YuHAhnjx5AhcXF6xevRoNGzZ872vnl9HMzAwrVqzAr7/+ipCQELx48QIVKlTA559/jlGjRgEA\nnJycEBoaivnz52PSpElISUlBvXr1sHjx4vfeYOFjjpu2x2vWrFmQyWT47bff8OrVK3h6emL48OG5\nrlf77v6nTJkCR0dHbN68GcuWLUPVqlUxc+ZM4QoT3bp1Q3h4OMaPH49+/fohMDAQ8+bNw5IlS7Bu\n3Tqo1WqUL18eAQEB+L//+z9hvwEBAShRogSWLVuGrVu3on79+pg+fTq+/fbb937+FhYW8PX1xZYt\nW4SrRGSbMGECbGxssHnzZixatAj29vbo1KlTjsWJ3333HV69epXvbbO3bduGhg0bomrVqnk+36pV\nK8hkMmzevBkjRozA4MGDYWdnh99++w0bNmyAk5MTxo4dm+PqJC1atEBwcDA8PT2xYMECTJkyBTNm\nzMBPP/0ECwsL4Wfwp59+Er4GS5cuxaxZs/Dtt9/CysoKtWvXRmhoKKZMmSJc0/rfXy8iykmi4fsm\nRGQism9OcOLECYMsViIiIuPBOcFEREREZHJYgomIiIjI5HA6BBERERGZHJ4JJiIiIiKTw6tDvMPd\n3R2pqakfdB95IiIiIjK8uLg4WFhYIDIy8qP2wxL8jpSUlBz3syciIiKioiU9PV0vN4VhCX5H9u1W\nDx48KHISIiIiIsqLt7e3XvbDOcFEREREZHJYgomIiIjI5LAEExEREZHJYQkmIiIiIpPDEkxERERE\nJoclmIiIiIhMDkswEREREZkclmAiIiIiMjkswURERERkcliCiYiIiMjksAQTERERkclhCSYiIiIi\nk8MSTEREREQmhyWYiIiIiEwOSzARERERmRyWYCIiIiIyOSzBRERERGRyWIKJiIiIyOSwBBMRERGR\nyWEJJiIiIiKTwxJMRERERCaHJZiIiIiITA5LMBERERGZHJZgIiIiIjI5LMFEREREZHJYgomIiIjI\n5LAEExEREZHJYQkmIiIiIpPDEkxEREREJoclmIiIiIhMDkswEREREZmcEmIHICIiItJWZGQUgoL2\nQK22gkyWjMBAX7i7u4gdi4wQSzAREREZhcjIKPTqdQoxMV8DkADQICIiFGFhYBEmnXE6BBERERmF\noKA9iIkZjqwCDAASxMQMR3DwHjFjkZFiCSYiIiKjoFZb4Z8CnE3y9ziRbliCiYiIyCjIZMkANP8a\n1fw9TqQblmAiIiIyCoGBvqhaNRT/FGENqlYNxcSJvmLGIiPFhXFERERkFNzdXRAWBgQH/wK12hIy\nWTImTuTVIejDsAQTERGR0XB3d8HmzSy99PE4HYKIiIiITA5LMBERERGZHJZgIiIiIjI5LMFERERE\nZHJYgomIiIjI5LAEExEREZHJMYoSPHfuXLRq1QotWrTAnDlzCtx2xowZcHZ2Rv369YX///7774WU\nlIiIiIiMQZG/TvDKlSsRHh6OxYsXIy0tDePHj0e5cuUwZMiQPLePjo7G+PHjoVAohDE7O7vCiktE\nRERERqDInwleu3Ytxo0bhyZNmsDDwwPjx4/HunXr8t3+3r17aNCgAcqWLSv8Z2lpWYiJiYiIiMgQ\nXrx4gaSkJL3sq0ifCX769CkeP34Md3d3YaxZs2Z49OgRnj17hnLlyuXYPikpCWq1GtWrVy/kpERE\nRERkKLGxsVCpVDh8+DBev36tl3f5i3QJjouLg0QigaOjozBWrlw5aDQaPHnyJFcJjo6OhkQiwZIl\nS3Ds2DGUKlUKQ4YMgVwuL+zoRERERPQRNBoNoqKioFKpcO7cOb3vX/QSnJKSArVanedzb968AQBY\nWFgIY9l/Tk1NzbV9dHQ0pFIpatWqhQEDBuDcuXOYOnUq7Ozs4OPjY4D0RERERGQIy5YtQ3h4uPC4\nRIkS8PLywpYtW/Syf9FL8OXLlzFw4EBIJJJcz40fPx5AVuH9d/m1trbOtb1cLkfHjh1hb28PAKhb\nty7u37+PDRs2sAQTERERGRF3d3eEh4fDzs4OXbt2Rffu3VGmTBmoVCq97F/0Euzh4YGbN2/m+dzT\np08xd+5cPHv2DBUrVgTwzxSJ8uXL5/kx2QU4W82aNXH27Fn9hiYiIiIig2ratCn+7//+D23atMnz\n5OfHKtJXh3B0dISTkxPOnz8vjEVGRsLJySnXfGAAWLBgQa5Lp924cQM1atQweFYiIiIi0l72tNf8\nSCQS+Pj4GKQAA0XgTPD79O3bF3PnzoVMJoNGo8HPP/+MYcOGCc/Hx8fDysoKNjY28PLywrJly7Bq\n1Sr4+Pjg+PHj2L59O9auXSviZ0BEREREQNZit+vXr0OpVOLu3btYvnw5zM3NRclS5Evw8OHD8eLF\nC4wdOxZSqRSffPIJBg0aJDzfu3dvBAQEYMyYMWjUqBEWLFiA+fPnY/78+ahUqRLmzZsHV1dXET8D\nIiIiItOWkZGBM2fOQKlU4vbt28L40aNHRVu3JdFoNBpRXrkI8vb2BgAcPHhQ5CRERERExi85ORkH\nDx7Etm3b8OTJE2Hc1tYWXbt2RY8ePVCmTBmd9qmvvlbkzwQTERERkXGaMmVKjjO/jo6O6NmzJ3x8\nfGBjYyNiMpZgIiIiIjKQjh074vbt26hVqxYUCgXatGkDMzMzsWMBYAkmIiIiIgPx9vZG5cqV0ahR\nozzvCSGmIn2JNCIiIiIqmjIyMvD8+fMCt7G0tISrq2uRK8AAzwQTERERkQ5SUlJw8OBBqFQq2Nra\n4ueffy6SJfd9WIKJiIiI6L1evnyJXbt2ITw8HK9evRLGo6Ki0LBhQxGTfRiWYCIiIiLK18OHD6FS\nqXDo0CGkpaUJ49mL3erXry9iug/HEkxEREREeUpNTcWECROQlJQkjDVr1gwKhaJILnbTBUswERER\nEeXJwsICnTt3xvbt29GhQwfI5XJUq1ZN7Fh6wRJMRERERPkKCAiAn58fypYtK3YUvWIJJiIiIjJR\nCQkJSE5Ohkwmy3cbe3v7QkxUeHidYCIiIiIT8/DhQyxevBjDhg3DqlWrxI4jCp4JJiIiIjIRN27c\ngFKpxNmzZ6HRaAAAZ86cwfPnz4vddIf3YQkmIiIiKsYyMjJw7tw5KJVK3Lx5UxgvUaIE2rdvD7lc\nbnIFGGAJJiIiIirW4uLiEBwcjMzMTACAjY0NfH19i+ViN12wBBMREREVYxUqVECrVq1w69Yt+Pv7\no1OnTrCxsRE7luhYgomIiIiKuVGjRsHW1hYlSrD6ZePVIYiIiIiM2M2bN/H8+fMCt3FwcGAB/hce\nDSIiIiIj8+/FbnK5HEOHDhU7llFhCSYiIiIyEikpKTh06BC2bduGR48eCeMnTpzAoEGDYGZmJmI6\n48ISTERERFTEJSYmIjw8HOHh4UhMTBTGy5Urh549e6Jz584swDpiCSYiIiIq4mJiYrBhwwbhcY0a\nNaBQKNC2bVvO9f1APGpERERERZyLiwvq1q0LW1tbKBQKuLm5QSKRiB3LqLEEExERERVxEokEM2fO\nhKWlpdhRig1eIo2IiIhIRCkpKdi7dy+Sk5ML3I4FWL94JpiIiIhIBImJidi1axfCw8ORkJCAtLQ0\n9OjRQ+xYJoMlmIiIiKgQPXr0CNu3b8eBAweQmpoqjF++fJkluBCxBBMREREVgnv37mHz5s04ffo0\nNBqNMN64cWMoFAo0btxYxHSmhyW4mIqMjEJQ0B6o1VaQyZIRGOgLd3cXsWMRERGZrPv37+PUqVMA\nADMzM7Rv3x5yuRw1atQQOZlpYgkuhiIjo9Cr1ynExHwNQAJAg4iIUISFgUWYiIhIJO3bt8fWrVvh\n7u6OHj16oHz58mJHMmkswcVQUNCedwowAEgQEzMcwcE/Y/NmlmAiIiIxmJubY+HChZBKeXGuooBf\nhWJIrbbCPwU4m+TvcSIiItK3x48fY/369cjMzCxwOxbgooNngoshmSwZgAY5i7Dm73EiIiLSl1u3\nbkGpVAqL3erUqYPmzZuLHYu0wBJcDAUG+iIiIhQxMcORPSe4atVQTJzoK3Y0IiIio5eZmYmIiAgo\nlUpcv35dGDczM0NMTAxLsJFgCS6G3N1dEBYGBAf/ArXaEjJZMiZO5NUhiIiIPtbRo0fxxx9/4OHD\nh8KYtbU1unTpAj8/Py52MyIswcWUu7sLF8ERERHp2aNHj4QCXLZsWfj5+aFLly6wtbUVORnpiiWY\niIiISEvdunXD+fPn0b17d7Rt2xbm5uZiR6IPxBJMREREpCUHBwfMnTtX7BikB7xOBxEREZm8zMxM\nnD17FqtXrxY7ChUSngkmIiIik5WamorDhw9DpVIJc309PT1RrVo1kZORobEEExERkcl59eoVdu/e\njZ07d+Lly5fCeJkyZRAXF8cSbAJYgomIiMikrFq1Crt27UJKSoowVq1aNcjlcrRv356L3UwESzAR\nERGZlMTERKEAu7m5QS6Xo2nTppBIJO/5SCpOWIKJiIioSImMjEJQ0B6o1VaQyZIRGKjfGz7J5XKk\np6dDLpejVq1aetsvGReWYCIiIioyIiOj0KvXKcTEfA1AAkCDiIhQhIVBb0W4WrVq+Oabb/SyLzJe\nvEQaEVEBIiOj0Lv3PLRrF4LevechMjJK7EhExVpQ0B7ExAxHVgEGAAliYoYjOHjPez/21atX2LRp\nE9atW2fQjFQ88EwwEVE+CuOMFBHlpFZb4Z8CnE3y93jenjx5gu3bt2P//v1ISUmBhYUF/Pz84ODg\nYNCsZNxYgomI8pF1Riq7AAP/nJH6GZs3swQTGYJMlgxAg5xFWPP3eE537tyBUqnEqVOnkJmZKYzX\nr18fr169YgmmAhlVCR42bBj8/Pwgl8vz3SY2NhZTp07FpUuXUKlSJUyaNAlt2rQpxJREVFx8yBkp\nIvo4gYG+iIgIfWdKhAZVq4Zi4kRfYZvk5GT88MMPuHbtmjAmlUrRtm1bKBQKLnYjrRhFCdZoNJgx\nYwZOnToFPz+/Arf9z3/+A2dnZ4SFheHAgQMYM2YMdu/ejQoVKhRSWiIqLnQ5I0VE+uHu7oKwMCA4\n+Beo1ZaQyZIxcWLOq0NYWVkJlzOztrZG586d4efnB0dHR7FikxEq8iVYrVZjwoQJiI2Nhb29fYHb\nnj59Gg81cxnSAAAgAElEQVQePMCmTZtgaWmJkSNH4vTp09iyZQvGjBlTSImJqLjQ5owUUVFl6MuM\nGZK7u8t7pxx98sknaNKkCXx9fWFnZ1dIyag4KfIl+Pr166hYsSIWLFiAgICAAre9cuUKXFxcYGlp\nKYw1a9YMly5dMnRMIiqGtDkjRVQUmcKiTjc3N7i5uYkdg4xYkS/BXl5e8PLy0mrbuLi4XG+FlC1b\nFmq12hDRiMgEaHNGiqioMeZFnXfu3IFKpULt2rWhUCjEjkPFmOglOCUlJd+SWr58eVhbW2u9r7dv\n38LCwiLHmIWFBVJTUz8qIxERkTExtkWdmZmZOH/+PFQqFa5evQoAiIqKQo8ePWBubi5yOuNnzFNj\nDEn0Enz58mUMHDgwz/t1L1q0CN7e3lrvy9LSEgkJCTnGUlNTYWVVNH/oiYiIDMFYFnWmpaXhyJEj\nUKlUePDggTBuZWWFtm3bIjU1lSX4I5nC1JgPJXoJ9vDwwM2bN/WyL5lMhrt37+YYe/bsGcqXL6+X\n/RMRERkDY1jU+fDhQ0yePBkvXrwQxkqXLg0/Pz8udtMjY54aY2iil2B9cnNzw/Lly5GamipMizh/\n/jzc3d1FTkZERFR4jGFRZ4UKFYSF7FWqVIFCoUCHDh145lfPjG1qTGEy+hIcHx8PKysr2NjYwMPD\nA05OTggMDMTo0aNx6NAhXL16FUFBQWLHJCIiKlRFfVGnmZkZhg0bBjMzMzRt2hRSqVTsSMWSsUyN\nEYNRfcflNW+4d+/eWLlyJYCsu8UsXrwYcXFx6NWrF3bs2IGQkBDeKIOIiKiQaTSaHLcyzkuLFi3g\n7u7OAmxAgYG+qFo1FFlFGCiKU2PEItFoNJr3b2YashfhHTx4UOQkRERExiktLQ1Hjx6FUqlE3759\n0a5dO7EjmbzIyCgEB+8tslNjdKWvvmb00yGIiIhIfElJSdizZw927tyJ+Ph4AIBSqUTbtm3zfCeX\nCk9RnxojFpZgIiIi+mBPnz7F9u3bsW/fPiQn/zPPtEqVKujatSs0Gg1LMBVJLMFERET0Qc6dO4dZ\ns2blmPvbsGFDKBQKNGvWjHN9qUhjCSYiIqIP4uLiAktLS6SkpKBNmzaQy+WoU6eO2LGItMISTERE\nRB/E1tYWX331FapXr84rMZHRYQkmIiKiPL158wY2NjYFbtOyZctCSkOkX5ysQ0RERDk8ffoUoaGh\nGDJkCG7duiV2HCKD4JlgIiIiAgDcu3cPSqUSJ06cEBa7KZVKBAYGipyMSP9YgomIiEyYRqPBhQsX\noFQqceXKFWFcKpWidevWUCgUIqYjMhyWYCIiIhO2ceNGrF+/XnhsaWmJTp06oWfPnlzsRsUaSzAR\nEZEJ69ChAzZs2AAHBwf06NEDvr6+sLe3FzsWkcGxBBMREZkwJycnTJs2DS4uLrCwsBA7DlGh4dUh\niIiIirG4uLj3btOkSRMWYDI5PBNMRERUzGQvdlOpVIiKisKyZctQrlw5sWMRFSkswURERMVEWloa\njh07BpVKhb/++ksY37lzJwYPHixeMKIiiCWYiIjIyL1+/Rp79uzBjh07EB8fL4w7ODjAz88Pvr6+\nIqYjKppYgomIiIzcwoULcerUKeFxpUqVoFAo4Onpybm+RPlgCSYiIjJy3bt3x6lTp9CgQQMEBATA\n3d0dUinXvhMVhCWYiIjIyDVs2BC//voratasKXYUIqPBfyYSEREVYWlpafjzzz8L3EYikbAAE+mI\nZ4KJiIiKoNevX2Pv3r3YsWMHUlNTsXLlSlhaWoodi6jYYAkmIiIqQuLi4rBjxw7s3bsXb9++FcZP\nnDgBb29vEZMRFS8swUREREXAn3/+CaVSiePHjyMjI0MYb9CgARQKBZo3by5iOqLihyWYiIhIZBqN\nBj///LNwgwupVIqWLVtCLpfD2dn5vR8fGRmFoKA9UKutIJMlIzDQF+7uLoaOTWTUPqgEx8XFwdbW\nFjY2Nrhw4QL279+Ppk2bolOnTvrOR0REVOxJJBL4+/tj6dKl8PHxgb+/P5ycnLT62MjIKPTqdQox\nMV8DkADQICIiFGFhYBEmKoDOV4c4fPgwvL29cfHiRcTGxmLQoEHYt28fvvnmG2zatMkQGYmIiIq9\nDh06YOXKlRg1apTWBRgAgoL2ICZmOLIKMABIEBMzHMHBewySk6i40LkEL1y4EP369YOHhwd27twJ\nmUyGffv2YebMmVi9erUhMhIRERm1Z8+e4fbt2wVuY25uDnt7e533rVZb4Z8CnE3y9zgR5Ufn6RB3\n797FwoULYW5ujpMnT8LT0xNmZmZo1qwZHjx4YIiMRERERunPP/+ESqXCsWPHULFiRSxatAgSyb8L\n68eRyZIBaJCzCGv+Hiei/OhcgkuWLImkpCQkJSXh4sWLGDx4MAAgNjYWDg4O+s5HRERkVDQaDS5d\nugSVSoWLFy8K47Gxsbh37x5q166t19cLDPRFREToO1MiNKhaNRQTJ/rq9XWIihudS3C7du3www8/\nwNbWFra2tmjbti3OnTuHadOmoUOHDobISEREVOSlp6fj+PHjUKlUOe7wZmFhAR8fH/Ts2RMVK1bU\n++u6u7sgLAwIDv4FarUlZLJkTJzIq0MQvY/OJfj777/HnDlz8ODBAyxatAiWlpY4efIk6tSpg8DA\nQENkJCIiKvIyMjKwYsUKJCYmAgAcHBzQvXt3dOvW7YPm+urC3d0Fmzez9BLpQucSbGNjg//+9785\nxr766iu9BSIiIjJGlpaW6NatG44dOwa5XA4vLy/e5pioCPug6wTfu3cPa9euRXR0NObMmYOjR4+i\nbt26aNy4sb7zERERGY1evXrh008/hZmZmdhRiOg9dL5E2s2bNxEQEIDr16/jwoULSE1NxYULF9C/\nf3+cPHnSEBmJiIhElb3Y7d69ewVuZ2lpyQJMZCR0LsGzZ89Gv379sGnTJpibmwMAgoKC0KdPHyxY\nsEDvAYmIiMSSnp6Ow4cP48svv8T333+PdevWiR2JiPRE5+kQV69exZQpU3KNDx48GHK5XC+hiIiI\nxPTmzRvs3bsXO3bswLNnz4Txu3fvIikpCXZ2diKmIyJ90LkEm5mZ4e3bt7nG4+LiuACAiIiMWkJC\nApRKJfbs2YM3b94I405OTpDL5ejYsSN/1xEVEzqXYC8vL8yfPx/z588Xxh48eIBZs2bxOsFERGTU\n0tLSsG3bNmRkZAAAnJ2doVAo4OHhwbm+RMWMziU4MDAQQ4cORfPmzZGRkYG+ffvixYsXqFmzJr79\n9ltDZCQiIioU5cqVg6enJ16/fg2FQoH69euLHYmIDETnEuzg4IDNmzfj2LFjuH79OjIzM1G3bl14\neXkJC+WIiIiM1dixYyGV6rxunIiMzAddJ1gqlcLT0xOenp56jkNERGQYb968wb59+9CiRQs4OTnl\nux0LMJFp0LkEx8TEYObMmbhw4QLS0tKg0WhyPH/58mW9hSMiIvpYz58/x44dO7B37168fv0aT548\nwahRo8SORUQi07kET506FU+ePMGIESMMfi90IiKiD3X//n2oVCocO3YM6enpwvjDhw+h0WggkUhE\nTEdEYtO5BF+8eBG///47GjVqZIg8REREHyU6Ohpr1qzBhQsXhDGJRIIWLVpwsRsRCXQuwaVKlYK1\ntbUhshAREX209PR0oQCbm5vD29sb/v7+qFSpksjJiKgo0bkE9+3bF/Pnz8fs2bNZhomIqMipW7cu\nWrVqhWrVqqFbt24oVaqU2JGIqAjSuQRfuXIFJ0+ehIeHB2QyGSwsLHI8v2vXLr2FIyIi+hCTJk0S\nOwIRFXE6l+A6deqgTp06hshCRERUoL/++gs7duzAkCFDYGtrK3YcIjJiOpfgb775xhA5tDJs2DD4\n+flBLpfnu82MGTOwbt06SCQSYfXvlClT0K9fv0JMSkRE+qLRaHDlyhUolUphrm/FihUREBAgcjIi\nMmZaleDly5djwIABsLKywvLly/PdTiKRYPjw4XoLl02j0WDGjBk4deoU/Pz8Ctw2Ojoa48ePh0Kh\nEMbs7Oz0nomIiAwrIyMDJ06cgEqlwr1794Rxc3NzvH37VsRkRFQcaFWCV69ejd69e8PKygqrV68u\ncFt9l2C1Wo0JEyYgNjZWq+sS37t3D8OHD0fZsmX1moOIiArPiRMn8Ntvv+Hp06fCWMmSJdG9e3cu\ndiMivdCqBJ84cSLPPxeG69evo2LFiliwYMF73/pKSkqCWq1G9erVCyccEREZTHYBrlChAuRyOby9\nvWFpaSlyKiIqLnSeE5wtMjISt27dQokSJdCgQQOD3TzDy8sLXl5eWm0bHR0NiUSCJUuW4NixYyhV\nqhSGDBlS4BxiIiIqelq1aoXWrVujffv2aNGiBczMzMSORETFjM4lOD4+HiNGjEBUVBSsra2RkZGB\ntLQ0tGjRAosWLdJ5/m1KSgrUanWez5UvX16naxFHR0dDKpWiVq1aGDBgAM6dO4epU6fCzs4OPj4+\nOuUiIiLxmJmZITAwUOwYRFSM6VyCp0+fjoyMDKhUKjg7OwMArl27hkmTJiE4OBg//vijTvu7fPky\nBg4cmOc93BctWgRvb2+t9yWXy9GxY0dh7nDdunVx//59bNiwgSWYiKgIyMjIwMmTJ3HixAlMnDiR\nZ3iJSDQ6l+ATJ05g1apVQgEGgIYNG2LatGkYPXq0ziXYw8MDN2/e1DVGvv69eK5mzZo4e/as3vZP\nRES6e/v2Lfbv34/t27cLc31Pnz6Ntm3bipyMiEyVziXY2toaGo0m17iNjQ2kUqleQn2oBQsW4OLF\ni1i1apUwduPGDdSoUUPEVEREpis+Ph47d+7E7t278fr1a2G8QoUKov/OICLTpnMJ/uKLL/D999/j\n559/Rq1atQBkXcZs1qxZ+OKLL/Qe8H3i4+NhZWUFGxsbeHl5YdmyZVi1ahV8fHxw/PhxbN++HWvX\nri30XEREpm7NmjVQqVRIT08XxurWrQuFQoGWLVtyKgQRiUrnErx69Wo8evQIPXr0QJkyZVCiRAk8\ne/YMGRkZuHLlCubNmydse/nyZb2GzWvecO/evREQEIAxY8agUaNGWLBgAebPn4/58+ejUqVKmDdv\nHlxdXfWag4iI3s/W1lYowB4eHlAoFGjQoEGef5cTERU2nUvw0KFDDZFDKwcPHsw1dujQoRyPO3bs\niI4dOxZWJCIiykeXLl3w9OlT+Pn5oXLlymLHISLKQecSHBMTg88++wxVqlQxRB4iIiom7OzsRJkm\nR0SkDZ1XJWzcuNEQOYiIyEjEx8djzZo1mDVrlthRiIg+mM5ngtu0aYNNmzZh7NixsLCwMEQmIiIq\ngmJiYqBSqXDkyBFhru+dO3dQp04dkZMREelO5xKclJSE5cuXY+XKlZDJZLCyssrx/K5du/QWjoiI\nxKXRaBAVFYWtW7ciMjIyx3MeHh4wNzcXKRkR0cfRuQS7uLjAxcXFEFmIiKgIyczMxJQpU3Dt2jVh\nrESJEujYsSP8/f25NoSIjJrOJfibb74xRA4iIipipFIpqlSpgmvXrsHOzg7dunVD9+7dUbp0abGj\nERF9NJ1LMADcu3cPa9euRXR0NObMmYOjR4+ibt26aNy4sb7zERGRiORyOapUqQIfH59c09+IiIyZ\nzleHuHnzJgICAnD9+nVcuHABqampuHDhAvr374+TJ08aIiMRERlIRkZGgc87OTmhR48eLMBEVOzo\nXIJnz56Nfv36YdOmTcKCiKCgIPTp0wcLFizQe0AiItIvjUaDa9eu4ccff8SiRYvEjkNEJAqdp0Nc\nvXoVU6ZMyTU+ePBgyOVyvYQiIiL9y8jIwOnTp6FUKnHnzh0AWQvd+vfvj7Jly4qcjoiocOlcgs3M\nzPD27dtc43FxcbC0tNRLKCIi0p/k5GQcOHAA27Ztg1qtFsbt7OzQtWtXXuaMiEySziXYy8sL8+fP\nx/z584WxBw8eYNasWejQoYNewxER0cd59eoVRo0ahVevXgljjo6O8Pf3h4+PD6ytrUVMR0QkHp1L\ncGBgIIYOHYrmzZsjIyMDffv2xYsXL1CzZk18++23hshIREQfqGTJkqhbty7Onz+P2rVrQ6FQoHXr\n1jAzMxM7GhGRqHQuwQ4ODti8eTOOHTuG69evIzMzE3Xr1oWXlxffUiMiKoL69++PgIAANGzYEBKJ\nROw4RERFglYleOjQoZg/fz5KliwJIOsC6p6envD09DRkNiIieo+MjAykp6cXuCajVq1ahZiIiMg4\naHWJtFOnTiE1NdXQWYiISEvJycnYuXMnRo0ahbCwMLHjEBEZnQ+6YxwREYnjxYsXCA8Px+7du4XF\nbrt27UKvXr14hR4iIh1oXYLj4uKQnp7+3u1kMtlHBSIiotxiY2OhUqlw+PBhpKWlCeO1atWCQqFA\niRI8p0FEpAut/9ZUKBQFPq/RaCCRSHDjxo2PDkVERP+4ffs2xo8fn2PM3d0dCoWCi92IiD6Q1iX4\nl19+gYODgyGzEBFRHmrXro0qVarg8ePH8PT0hFwuR9WqVcWORURk1LQuwc2bN+dtNYmIRCCVSvHl\nl1+ibNmyKFOmjNhxiIiKBa1KMN9qIyIynBcvXsDOzq7Aa63XqVOnEBMRERV/Wl0izdHREVKpVpsS\nkZGLjIxC797z0K5dCHr3nofIyCixIxVbsbGxCAkJwfDhw3Hs2DGx4xARmRStzgQfPXrU0DmIqAiI\njIxCr16nEBPzNQAJAA0iIkIRFga4u7uIHa9Y0Gg0uHHjBrZu3Ypz584J4yqVCh07duQ7b0REhYTX\n1CEiQVDQnncKMABIEBMzHMHBP2PzZpbgj5GRkYGzZ89CqVTi1q1bwniJEiXQoUMHKBQKFmAiokLE\nEkxEArXaCv8U4GySv8fpYxw6dAgLFy4UHtva2sLX1xc9evTgomMiIhGwBBORQCZLBqBBziKs+Xuc\nPka7du3w22+/wcrKCj179kSnTp1gY2MjdiwiIpPFEkxEgsBAX0REhCImZjiy5wRXrRqKiRN9xY5m\n9KysrDBz5kxUrlyZd3cjIioCtPqbeMeOHVrv0M/P74PDEJG43N1dEBYGBAf/ArXaEjJZMiZO9OWi\nOC3cu3cPNWvWLHBeb/Xq1QsvEBERFUirEjxhwgStdiaRSFiCiYycu7sLF8FpKXuxm0qlws2bNzFr\n1iw0bNhQ7FhERKQFrUpwVBSvE0pElC0lJQUHDx7Etm3b8PjxY2E8PDycJZiIyEhoVYLNzMy02tnT\np0/h6Oj4UYGIiIqqhIQEhIeHY9euXUhMTBTGy5UrB39/f3Tq1EnEdFRUREZGIShoD9RqK8hkyQgM\n5JQioqJI59UZsbGxmDNnDm7fvo3MzEwAWRd/T01NRVxcHM8aE1GxtXXrViiVSuFxjRo1EBAQgDZt\n2nCxGwHgDWeIjInO90L+4YcfcO3aNXh6eiI2NhY+Pj6oVasWnjx5gqlTpxoiIxFRkdCjRw+UKFEC\nTZs2xY8//ohff/0VHTp0YAEmQdYNZ7KvrgL8c8OZPWLGIqI86Pw39/nz5xESEoKWLVvi1KlT6NKl\nC1xdXfHzzz/jxIkT6Nu3ryFyEhGJrnz58li+fDlvbkH54g1niIyHzmeCU1JSUK1aNQBZbwVm3/5T\nLpfj0qVL+k1HRFRIUlJScP78+fduxwJMBfnnhjPv4g1niIoinUtwpUqVcPfuXQBZJfjmzZsAsuYF\nv379Wr/piIgMLCEhAevXr8ewYcPw448/5rjaA5GuAgN9UbVqKP4pwrzhDFFRpfN0CLlcjm+//RbB\nwcHw9PTE4MGDUaVKFRw/fhz16tUzREYiIr179OgRVCoVDh06hNTUVGH8+PHj+OSTT0RMRsaMN5wh\nMh46l+BRo0bBwsIC6enpcHNzw4gRI/Drr7+iQoUKmDdvniEyEhHpzc2bN7F161acPXsWGs0/b1s3\nadIEAQEBcHV1FTEdFQe84QyRcdC5BF+8eBGDBg0SVkOPHj0ao0ePRmpqKo4dOwYXF/7gE1HRpVKp\ncObMGQBZ10Bv37495HI5atSoIXIyIiIqTDqX4H79+uHkyZMoU6ZMjvHo6Gh8/fXXuHLlit7CERHp\nm0KhwKVLl9ClSxf4+fmhXLlyYkciIiIRaFWCV69ejTlz5gDIWgDXvn37XNtkZGTwLDARFXn16tXD\nb7/9BisrXrKKiMiUaVWC+/XrB1tbW2g0GkydOhXjx4+Hra2t8LxEIoGNjQ3atGljsKBERO/z6NEj\nxMTEoGXLlgVuxwJMRERaleASJUqgd+/ewmN/f39YWFgYLBQRkS5u3rwJpVKJM2fOwNraGitXroSN\njY3YsYiIqAjTeU5wnz59oFarsX79ety+fRvm5uaoXbs2+vTpAycnJ0NkJCLKJTMzE+fOnYNSqcSN\nGzeE8ZSUFERFRaF58+YipiMioqJO5xJ8584d9OvXDxYWFmjYsCGSk5OxceNGrFu3Dhs2bECtWrUM\nkZOICEDW+oP9+/dj27ZtePjwoTBubW0NX19fLnYjIiKt6FyCg4OD0axZM/zyyy/CvLq3b99i/Pjx\nmDNnDpYuXar3kERE2aRSKfbt2ycU4LJly6Jnz57o3LlzjrUKREREBdG5BJ8/fx5//PFHjoUl1tbW\nGDt2LPr376/XcERE/yaRSKBQKLBlyxbI5XK0bdsW5ubmYsciIiIjo3MJtrGxQXp6eq7x9PT0HHdf\n0pdXr14hKCgIR44cQWZmJjw9PTF58mSULFkyz+1jY2MxdepUXLp0CZUqVcKkSZN41QqiYqZNmzZo\n27YtJBKJ2FGIiMhISXX9gJYtW2Lu3LlITEwUxhISEjBv3jy0atVKr+EA4Pvvv8ft27exfPlyrFy5\nEvfu3cPUqVPz3f4///kPHB0dERYWhp49e2LMmDF48uSJ3nMRkf5lZmbizJkzwh3d8iOVSlmAqdBF\nRkahd+95aNcuBL17z0NkZJTYkYjoI+h8Jnj8+PH49NNP4enpiZo1a0IikeDu3buwt7fHunXr9Bru\n7du32L9/PzZs2IAGDRoAACZPnoz+/fsjNTU112XaTp8+jQcPHmDTpk2wtLTEyJEjcfr0aWzZsgVj\nxozRazYi0p+UlBQcPnxYWOxWoUIFNG/eHGZmZmJHIwKQVYB79TqFmJivAUgAaBAREYqwMMDdnTeK\nIjJGOpdgJycn7Nq1C0qlEnfu3IFGo4G/vz969uwJe3t7vYaTSqVYunQpnJ2dhTGNRoOMjAy8efMm\nVwm+cuUKXFxcYGlpKYw1a9YMly5d0msuItKPxMRE7Nq1C+Hh4UhISBDG09LSoFarUbFiRRHTEf0j\nKGjPOwUYACSIiRmO4OCfsXkzSzCRMdKqBE+aNAnfffcd7OzsAAB2dnYYMGCAQYMBgKWlJdq2bZtj\nbM2aNahXrx5KlSqVa/u4uDg4OjrmGCtbtizUarVBcxKRbpKSkrBu3TocOHAAqampwnj16tWhUCi4\n2I2KHLXaCv8U4GySv8eJyBhpVYJVKhXGjx8vlGB9SklJybekli9fHtbW1sLjdevWYe/evVixYkWe\n2799+zbX2WELC4scv2SJSHyWlpY4c+aM8LPp5uaGgIAANG7cmHN9qUiSyZIBaJCzCGv+HiciY6RV\nCTbEVR+yXb58GQMHDszzF9+iRYvg7e0NAPj9998xc+ZMfPfdd/kuwLO0tMzxlioApKam5ricGxGJ\nz9zcHP7+/oiOjoZCoUDNmjXFjkRUoMBAX0REhCImZjiy5wRXrRqKiRN9xY5GRB9I6znBhjo74+Hh\ngZs3bxa4zYoVKzBnzhwEBgYWeC1imUyGu3fv5hh79uwZypcvr5esRKQ/CoVC7AhEWnN3d0FYGBAc\n/AvUakvIZMmYONGXi+KIjJjWJVjba+3euHHjg8PkRalUYu7cufjuu+/eOw/Zzc0Ny5cvz3HliPPn\nz8Pd3V2vmYgof4mJidi9ezecnZ3h5uYmdhwivXF3d+EiOKJiROsSPGnSpHxvUGEoCQkJ+PHHHyGX\ny9G1a1c8e/ZMeK5MmTKQSqWIj4+HlZUVbGxs4OHhAScnJwQGBmL06NE4dOgQrl69iqCgoELNTWSK\nnjx5gm3btuHAgQNISUlBo0aNWIKJiKjI0roEd+/eHWXLljVkllxOnjyJt2/fQqVSQaVSAcianyyR\nSHDw4EFUrFgRvXv3RkBAAMaMGQOpVIrFixdj8uTJ6NWrF6pWrYqQkBBUqFChUHMTmZLbt29DqVTi\n9OnTyMzMFMalUilSUlJyXLKQiIioqNCqBIu1Wrtbt27o1q1bgdscOnQox+MqVapg7dq1hoxFRAAe\nPHiAxYsXIyrqn7tmSaVStGvXjovdSHSRkVEICtoDtdoKMlkyAgM5f5eIchL96hBEZJxKliyJO3fu\nAACsra3RuXNn9OzZkwtRSXS8uxsRaUOrEvy+qzcQkekpVaoUFAoFrKys0KVLF4NcR5zoQ/DubkSk\nDZ1vm0xElK1fv35iRyDKhXd3IyJtSMUOQERFz507dzB79mz89ddfYkch0tk/d3d7F+/uRkQ58Uww\nEQEAMjMzERkZCaVSKSx2s7S0xLhx40RORqQb3t2NiLTBEkxk4lJTU3HkyBGoVCrExsYK49bW1ihV\nqpSIyYg+DO/uRkTa0KoER0REaL3D5s2bf3AYIipcERERWLhwIV6+fCmMlSlTBn5+flzsRkaNd3cj\novfRqgQPGDAAEonkvZdKk0gker9tMhEZTvny5YUCXK1aNcjlcrRv3x7m5uYiJyMiIjIsrUrwwYMH\nDZ2DiERQvXp19O7dGy4uLmjatKloN8YhIiIqbFqV4EqVKmm1s5SUlI8KQ0SFb+DAgWJHICIiKnQ6\nL4x78eIFli5ditu3byMjIwNA1h3l0tLScPfuXURGRuo9JBHpJi0tDUeOHMHu3bsxbdo02Nvbix2J\niIioSNH5OsHTp0+HSqVC6dKlERkZCZlMhtevX+PSpUsYOXKkITISkZaSkpKwadMmDB8+HAsXLsTd\nuxJEH/sAACAASURBVHexa9cusWMREREVOTqfCT59+jSCg4Ph6emJW7duYdiwYXB2dsbUqVNx9+5d\nQ2QkovdQq9XYvn079u/fj+Tkf24IULVqVVSuXFnEZEREREWTziX49evXqFevHgCgZs2auHnzJpyd\nndG/f3+eCSYSwaZNm7B+/XpkZmYKY40aNUJAQAAXuxEREeVD5xIsk8nw8OFDODk5oXr16rh16xaA\nrAvrJyQk6D0gERWsevXqyMzMhFQqRZs2baBQKFC7dm2xYxERERVpOpfgzp07Y9KkSQgKCkLr1q3x\n1Vdfwc3NDQcOHEC1atUMkZGICuDu7o5+/frB09MTMplM7DhERERGQecS/NVXXyE9PR2PHj2Cn58f\nOnfujC+//BIlS5bEggULDJGRyKRlZGTAzMws3+elUik+/fTTQkxERERk/CSa990GTgsvX75EyZIl\nC/xFbQy8vb0B8OYgVDRkL3a7cOECFixYwLu4ERERQX99Teczwf+/vTuPqqpe2Dj+HGQyEAdUHNLr\nUIrhdSTU9KYMmlMCat1KUVEb3tLK5L7hVGqa83gdyvFVc0wD58zMstClYEZO3KuggamIoSaJMnje\nP7qeK4kGcuAA+/tZixX+zo+zn3PYa/e4/e19oqOjH/j4k08++dBhAEinT59WRESEoqKiLBe7ffvt\nt/Lz87NxMgAASo98l+CQkBCZTCbdfQLZZDLJZDLJzs5Ox44ds2pAwAhu376t77//XhERETp69Khl\n/M7FbnXr1rVhOgAASp98l+A/nnrOzs7WmTNnNGfOHIWFhVktGGAkEyZMyPFpi87OzurYsaN69OjB\nxW4AABSCfJfgmjVr3jNWu3Ztubq6auzYsdq6datVggFG0qJFC8XExKhixYrq3r27OnfurHLlytk6\nFgAApVa+S/D9VKxYUT/99JO1ng4wlICAADk7O6t9+/ZcAAcAQBGwyoVxaWlpWrFihR5//HGrhAJK\nm5s3b8rZ2fm+jzs7OysgIKAIEwEAYGxWuTBO+n2ZxNSpU60WDCjpzGaz5WK3mzdvatq0aXyEMQAA\nxUSBL4yTJAcHB1WtWtUqgYCSLjMzU/v27VNERIQSExMt48ePH1fjxo1tmAwAANyR7xI8b948jRo1\nSq6urjnGr169qlGjRmn+/PlWCweUJGlpadq1a5e2bt2q1NRUy3iFChXUvXt3PlYcAIBiJE8l+PDh\nw0pKSpIkRUZGysvL654SHB8fr/3791s/IVACZGVlaciQITnK76OPPqqgoCB16NBBjo6ONkwHAAD+\nKE8l2GQyKTw83PL9hAkT7pnzyCOPaNCgQdZNB5QQ9vb2+tvf/qbNmzercePGCg4OVsuWLWVnZ2fr\naAAAIBd5KsEtWrRQXFycJMnT01NRUVFyd3cv1GBASRMUFKSnn36au6QAAFAC5Ps0VVxcnK5fv57j\n45FXrFjBPYJRqmVmZurq1asPnOPu7k4BBgCghMh3Cd6/f78CAwO1e/duy9j27dsVFBSU42NfgdIg\nLS1NmzZt0ssvv6xFixbZOg4AALCSfN8dYsaMGRowYICGDRtmGduwYYNmzpyp6dOna926dVYNCNhC\nSkqKtmzZoi+++ELp6emSfv8LYHJysjw8PGycDgAAFFS+S3B8fLxmz559z/hzzz2nVatWWSUUYCvx\n8fGKjIzUt99+q9u3b1vGvby81LNnT1WpUsWG6QAAgLXkuwRXqlRJcXFxqlWrVo7xU6dOqVy5clYL\nBhS1X375RcOHD7eUXzs7O7Vp00bBwcFq0KCBjdMZR0zMcU2e/LmSk53l4XFT4eGd5e3tZetYAIBS\nJt8lOCgoSGPHjtXVq1fVtGlTSdLRo0c1a9YsBQcHWz0gUFTc3d3VqlUrff/99woICFBgYKCqVatm\n61iGEhNzXL167Vdi4juSTJLMio5eok2bRBEGAFhVvkvw66+/rtTUVI0fP15ZWVkym82yt7dXSEiI\nXn311cLICBSZgQMH6o033pCbm5utoxjS5Mmf31WAJcmkxMTBmjJlpj79lBIMALCefJdge3t7jR07\nVv/4xz905swZ2dvby2QyacOGDfLz89OhQ4cKIydQYCkpKXJ0dFT58uXvO4eL3mwrOdlZ/y3Ad5j+\nMw4AgPXkuwTf4eDgoISEBK1bt05HjhyRyWRSQECANbMBVpGQkGC52C0wMFADBgywdSTch4fHTUlm\n5SzC5v+MAwBgPfkuwWfPntX69esVERGhq1evymQyqWfPnnrttdfuuVgOsBWz2awffvhBn332mWJj\nYy3jX3zxhfr06SMHBwcbpsP9hId3VnT0EiUmDtadNcG1ay/Ru+92tnU0AEApk6cSnJWVpd27d2v9\n+vU6ePCgypQpo3bt2qlbt24aMWKEQkNDKcAoFjIzM/Xdd98pIiJCZ8+etYw7OjqqY8eO6tGjBwW4\nGPP29tKmTdKUKbOUnOwkD4+bevdd7g4BALC+PJXgDh06KC0tTa1atdIHH3ygjh07WtZVhoeHF2pA\nID/i4uI0a9Ysy5/Lly+v7t27q0uXLlzsVkJ4e3txERwAoNDlqQRfv35d7u7uqlGjhipUqKCyZcsW\ndi7goTRu3Fj169fXzZs3FRQUJF9fXzk6Oto6FgAAKGbyVIKjoqK0Y8cObdq0SWvXrpWLi4v8/f3V\ntWtXmUx/vJIbsB2TyaTRo0erYsWKsrOzs3UcAABQTOWpJbi6uur555/X+vXrtX37dj3//PPav3+/\nXnvtNWVnZ+v//u//cqy/BAqD2WzWkSNHdOvWrQfOc3d3pwADAIAHMpnNZvPD/GB2dra+/vprRURE\n6Ouvv9bt27f11FNPacmSJdbOWGT8/f0lSXv27LFxEtztjxe7/c///I+6dOli61gAAMAGrNXXHvo+\nwWXKlJG/v7/8/f2VmpqqzZs367PPPitQGOBuv/32m7744gtt2bJFv/zyi2V87969lGAAAFAgD12C\n71apUiWFhoYqNDTUGk+Xw/Xr1zV58mTL2eYOHTpo5MiRKleuXK7zJ0yYoE8++UQmk0lms9myRrRP\nnz5Wz4bCcfnyZW3dulWff/650tPTLeM1a9ZUYGCgfH19bZgOAACUBlYpwYXpvffe07lz57R48WKZ\nTCa9//77GjNmjGbPnp3r/ISEBIWFhSk4ONgy5urqWlRxYQVHjhxRRESE5c+NGjVScHCwfHx8WOsL\nAACsoliX4PT0dO3evVtr167VE088IUkaOXKk+vbtq4yMjFxvfRUfH6/BgwfL3d29qOPCSjp06KA1\na9aoQYMGCg4Olqenp60jAQCAUqZYl2A7Ozt99NFHOUqQ2WxWdna2bty4cU8JTktLU3JysurUqVPE\nSWFNDg4OWrBgAfejBgAAhaZY/9uyk5OT2rVrl+NjbleuXKmGDRuqQoUK98xPSEiQyWTSwoUL1b59\newUGBioyMrIoI+NP3LhxQ1988YX+7KYkFGAAAFCYbH4m+NatW0pOTs71sSpVquQoQ5988ol27dql\npUuX5jo/ISFBdnZ2ql+/vkJCQnTo0CGNGTNGrq6uCggIKJT8yJs7F7vt2rVLN27ckLu7u1q2bGnr\nWAAAwKBsXoJjY2PVr1+/XD95bt68eZZ7wa1evVoTJ07UqFGj1KZNm1yfKygoSH5+fnJzc5MkNWjQ\nQGfPntXatWspwTZy5swZRUZGat++fcrOzraMf//995RgAABgMzYvwT4+PoqLi3vgnKVLl2ratGkK\nDw9X3759Hzj3TgG+o169ejp48GCBcyJ/jh07pk8//VRHjhyxjJlMJrVu3VpBQUFq1KiRDdMBAACj\ns3kJ/jMRERGaPn26Ro0apZCQkAfOnTt3ro4cOaLly5dbxk6ePKm6desWdkz8QWxsrKUAOzo6yt/f\nX4GBgapRo4aNkwEAABTzEnzt2jV98MEHCgoKUpcuXXT58mXLY5UqVZKdnZ1SU1Pl7OysRx55RL6+\nvlq0aJGWL1+ugIAAffvtt9qyZYtWrVplw1dhTF27dtWePXvUsWNHde3aVeXLl7d1JAAAAAuT+c8u\n07ehHTt2aPjw4TnG7nwK3J49e1SjRg35+fmpZ8+eGjJkiCTpq6++0pw5c/TTTz+pZs2aGjZsWJ7X\nA1vrs6jxu+zsbJUpU8bWMQAAQClirb5WrEtwUaME583Zs2cVGxurwMBAW0cBAAAGY62+VqyXQ6D4\nMJvNio2NVUREhGWtb/PmzVW7dm0bJwMAAMg/SjAeKCsrS999950iIiJ05swZy7ijo6Pi4+MpwQAA\noESiBOO+tm3bps8++yzHBYnlypVTt27d1LVr11w/tQ8AAKAkoATjvv79739bCnC1atUUFBQkf39/\nOTk52TgZAABAwVCCcV/BwcG6ePGigoKC1KpVK+70AAAASg1KMO6rbt26mjp1qq1jAAAAWJ2drQOg\n6GVlZembb77R5s2bbR0FAADAJjgTbCA3btzQ7t27tWXLFqWkpMjJyUm+vr5yc3OzdTQAAIAiRQk2\ngF9++UXbtm3T559/rt9++80yXrFiRSUnJ1OCAQCA4VCCS7HMzEwtWLBA33zzjbKysizjDRs2VHBw\nMBe7AQAAw6IEl2IODg66cOGCsrKyZDKZ5OPjo+DgYDVq1Egmk8nW8QAAAGyGElzK9e7dW4cOHVKP\nHj306KOP2joOgLvExBzX5MmfKznZWR4eNxUe3lne3l62jgUAhkAJLuW8vb3l7e1t6xgA/iAm5rh6\n9dqvxMR3JJkkmRUdvUSbNokiDABFgFuklVCpqalasWKFdu7caesoAB7C5MmfKzFxsH4vwJJkUmLi\nYE2Z8rktYwGAYXAmuIRJTExURESE5WK3ypUrq2PHjrK351cJlCTJyc76bwG+w/SfcQBAYaM5lQBm\ns1lHjx5VZGSkYmJicjxWr149Xb9+XRUrVrRROgAPw8PjpiSzchZh83/GAQCFjRJczKWkpGjSpEk6\nffq0ZczBwUG+vr4KCgriYjeghAoP76zo6CV3LYkwq3btJXr33c62jgYAhkAJLuYqVaqkX3/9VZJU\nrlw5denSRd26dePML1DCeXt7adMmacqUWUpOdpKHx029+y53hwCAokIJLubKlCmjPn366MaNG/L3\n95ezM+sFgdLC29tLn35K6QUAW6AElwC+vr62jgAAAFCqcIs0GzGbzTp27JjGjx+v/fv32zoOAACA\noXAmuIhlZ2dr//79ioiIsFzs9uuvv6pNmzZ8lDEAAEARoQQXkfT0dH355ZfavHmzLl26ZBkvV66c\nmjVrpuzsbO71CwAAUERoXUXg2LFj+vDDD5WWlmYZ8/DwUGBgoAICArjYDQAAoIhRgotAnTp1lJ2d\nLUl6/PHHFRwcrDZt2qhMmTI2TgYAAGBMlOAi4OrqqpdfflnVqlWTl5cXa38BAABsjBJsBdnZ2X96\nVjcgIKCI0gAAAODPcIu0AkhPT9fWrVv16quv6tSpU7aOAwAAgDziTPBDuHLlirZt26adO3daLnaL\njIzUP/7xDxsnAwAAQF5QgvMhKSlJkZGR2rt3r7Kysizjjz32mJ566ikbJgMAAEB+UILzaPv27fr4\n449zjD355JMKDg7mYjcAAIAShhKcR82aNZPJZFKZMmXk6+urwMBA1a5d29axAAAA8BAowXlUs2ZN\nvf3222ratKkqVapk6zgAAAAoAEpwPvj6+to6AgAAAKyAW6QBAADAcCjBAAAAMBxKMAAAAAyHEgwA\nAADDoQQDAADAcCjBAAAAMBxKMAAAAAyHEgwAAADDoQQDAADAcCjBAAAAMBxKMAAAAAyHEgwAAADD\noQQDAADAcCjBAAAAMJxiX4JTU1P15ptvytvbW+3atdP06dN1+/bt+84/d+6cQkND1bx5c3Xv3l1R\nUVFFmBYAAAAlQbEvwWFhYfrtt9+0YcMGzZkzR9u3b9eSJUvuO/+NN95Q1apVtWnTJvXo0UNDhgzR\nxYsXizAxAAAAijt7Wwd4kIyMDFWuXFlDhw5VrVq1JEnPPPOMDh8+nOv8AwcOKCkpSRs2bJCTk5Ne\neeUVHThwQBs3btSQIUOKMjoAAACKsWJ9JtjR0VFTp061FOBTp07pq6++UqtWrXKd/+OPP8rLy0tO\nTk6WsZYtW+qHH34okrwAAAAoGYp1Cb5bSEiInn32Wbm5uemll17KdU5KSoqqVq2aY8zd3V3JyclF\nEREAAAAlhM1L8K1bt5SYmJjrV3p6umXe6NGjtWrVKt26dUvDhg3L9bnS09Pl6OiYY8zR0VEZGRmF\n+hoAAABQsth8TXBsbKz69esnk8l0z2Pz5s2Tv7+/JKlhw4aSpEmTJql37946f/68atSokWO+k5OT\nrl27lmMsIyNDzs7OhZQeAAAAJZHNS7CPj4/i4uJyfSwtLU07duxQ165dLWOPPfaYJOnKlSv3lGAP\nDw+dPn06x9jly5dVpUoVK6cGAABASWbz5RAPcvPmTb3zzjuKjY21jB07dkz29vaqU6fOPfObNm2q\nEydO5Fj+cPjwYTVr1qwo4gIAAKCEKNYluHLlyurUqZPGjx+vkydPKiYmRqNHj1ZISIhcXFwk/f5h\nGjdu3JD0+1nl6tWrKzw8XKdPn9aiRYt09OhR9e7d25YvAwAAAMVMsS7BkvThhx/K09NTAwcO1NCh\nQ+Xr66vhw4dbHu/du7eWLVsmSbKzs9OCBQuUkpKiXr16aevWrZo/f76qVatmq/gAAAAohkxms9ls\n6xDFxZ2L8Pbs2WPjJAAAAMiNtfpasT8TDAAAAFgbJRgAAACGQwkGAACA4VCCAQAAYDiUYAAAABgO\nJRgAAACGQwkGAACA4VCCAQAAYDiUYAAAABgOJRgAAACGQwkGAACA4VCCAQAAYDiUYAAAABgOJRgA\nAACGQwkGAACA4VCCAQAAYDiUYAAAABgOJRgAAACGQwkGAACA4VCCAQAAYDiUYAAAABgOJRgAAACG\nQwkGAACA4VCCAQAAYDiUYAAAABgOJRgAAACGQwkGAACA4VCCAQAAYDiUYAAAABgOJRgAAACGY2/r\nAABgLTExxzV58udKTnaWh8dNhYd3lre3l61joYRhPwKMgRIMoFSIiTmuXr32KzHxHUkmSWZFRy/R\npk2iwCDP2I8A42A5BIBSYfLkz5WYOFi/FxdJMikxcbCmTPnclrFQwrAfAcZBCQZQKiQnO+u/xeUO\n03/GgbxhPwKMgxIMoFTw8LgpyfyHUfN/xoG8YT8CjIMSDKBUCA/vrNq1l+i/Bcas2rWX6N13O9sy\nFkoY9iPAOLgwDkCp4O3tpU2bpClTZik52UkeHjf17rtc1Y/8YT8CjIMSDKDU8Pb20qefUlZQMOxH\ngDGwHAIAAACGQwkGAACA4VCCAQAAYDiUYAAAABgOJRgAAACGQwkGAACA4VCCAQAAYDiUYAAAABgO\nJRgAAACGQwkGAACA4RT7Epyamqo333xT3t7eateunaZPn67bt2/fd/6ECRPk6empRo0aWf67evXq\nIkwMAACA4s7e1gH+TFhYmEwmkzZs2KArV64oLCxMbm5ueuWVV3Kdn5CQoLCwMAUHB1vGXF1diyou\nAAAASoBiXYIzMjJUuXJlDR06VLVq1ZIkPfPMMzp8+PB9fyY+Pl6DBw+Wu7t7UcUEAABACVOsl0M4\nOjpq6tSplgJ86tQpffXVV2rVqlWu89PS0pScnKw6deoUYUoAAACUNMW6BN8tJCREzz77rNzc3PTS\nSy/lOichIUEmk0kLFy5U+/btFRgYqMjIyCJOCgAAgOLO5sshbt26peTk5Fwfq1KlisqWLStJGj16\ntH799VeNHz9ew4YN08KFC++Zn5CQIDs7O9WvX18hISE6dOiQxowZI1dXVwUEBBTq6wAAAEDJYfMS\nHBsbq379+slkMt3z2Lx58+Tv7y9JatiwoSRp0qRJ6t27t86fP68aNWrkmB8UFCQ/Pz+5ublJkho0\naKCzZ89q7dq1lGAAAABY2LwE+/j4KC4uLtfH0tLStGPHDnXt2tUy9thjj0mSrly5ck8JlmQpwHfU\nq1dPBw8etGJiAAAAlHTFek3wzZs39c477yg2NtYyduzYMdnb2+d68dvcuXMVGhqaY+zkyZOqW7du\nYUcFAABACVKsS3DlypXVqVMnjR8/XidPnlRMTIxGjx6tkJAQubi4SPr9wzRu3LghSfL19VV0dLSW\nL1+upKQkrVmzRlu2bNHgwYNt+TIAAABQzBTrEixJH374oTw9PTVw4EANHTpUvr6+Gj58uOXx3r17\na9myZZKkv/71r5o7d64iIyP17LPPavXq1ZoxY4aaNGliq/gAAAAohkxms9ls6xDFxZ2L8Pbs2WPj\nJAAAAMiNtfpasT8TDAAAAFgbJRgAAACGQwkGAACA4VCCAQAAYDiUYAAAABgOJRgAAACGQwkGAACA\n4djbOkBxcunSJWVnZ1vuPwcAAIDi5cKFCypTpkyBn4czwXdxcnKSvT1/LwAAACiu7O3t5eTkVODn\n4RPjAAAAYDicCQYAAIDhUIIBAABgOJRgAAAAGA4lGAAAAIZDCQYAAIDhUIIBAABgOJRgAAAAGA4l\nGAAAAIZDCQYAAIDhUIJRaK5fv65Ro0apbdu2atOmjUaMGKHr16/fd/6ECRPk6empRo0aWf67evXq\nIkyMwpTf/eHcuXMKDQ1V8+bN1b17d0VFRRVhWhSVQYMGKTIy8oFzODYYQ172BY4Lpd/06dPVpk0b\ntWrVStOmTXvg3IIeG+wLGha4n/fee0/nzp3T4sWLZTKZ9P7772vMmDGaPXt2rvMTEhIUFham4OBg\ny5irq2tRxUUhy+/+8MYbb8jT01ObNm3Sl19+qSFDhmjnzp2qVq1aESdHYTCbzZowYYL279+vZ599\n9oFzOTaUbvnZFzgulG7Lli3T9u3btWDBAmVmZiosLEyVK1dWaGhorvMLfGwwA4Xgxo0bZi8vL/OP\nP/5oGTty5IjZy8vLfOvWrVx/5umnnzZHRUUVVUQUofzuD/v37zc3b97cfPPmTcvYgAEDzP/85z+L\nJC8K18WLF80hISFmX19fs4+PjzkiIuKB8zk2lF752Rc4LpR+HTp0yLEPbN682ezn53ff+QU9NrAc\nAoXCzs5OH330kTw9PS1jZrNZ2dnZunHjxj3z09LSlJycrDp16hRhShSV/O4PP/74o7y8vOTk5GQZ\na9mypX744YciyYvCdeLECdWoUUOfffaZXFxcHjiXY0Pplp99geNC6Xbp0iVduHBB3t7elrGWLVvq\n/Pnzunz58j3zrXFsYDkECoWTk5PatWuXY2zlypVq2LChKlSocM/8hIQEmUwmLVy4UPv27VOFChUU\nGhqqoKCgooqMQpTf/SElJUVVq1bNMebu7q7k5ORCzYmi4evrK19f3zzN5dhQuuVnX+C4ULqlpKTI\nZDLl+B1XrlxZZrNZFy9eVOXKlXPMt8axgRKMh3br1q37HnyqVKmismXLWv78ySefaNeuXVq6dGmu\n8xMSEmRnZ6f69esrJCREhw4d0pgxY+Tq6qqAgIBCyQ/rsub+kJ6eLkdHxxxjjo6OysjIsF5gFJr8\n7At/hmNDyWbNfYHjQsn3oP3hzr8K3v07vvN9br9jaxwbKMF4aLGxserXr59MJtM9j82bN0/+/v6S\npNWrV2vixIkaNWqU2rRpk+tzBQUFyc/PT25ubpKkBg0a6OzZs1q7di3/oyshrLk/ODk56dq1aznG\nMjIy5OzsbP3gsLq87gt5wbGhZLPmvsBxoeR70P4QFhYm6fff6R/Lb25/WbLGsYESjIfm4+OjuLi4\nB85ZunSppk2bpvDwcPXt2/eBc+/syHfUq1dPBw8eLHBOFA1r7g8eHh46ffp0jrHLly+rSpUqVsmK\nwpWXfSE/ODaUXNbcFzgulHwP2h8uXbqk6dOn6/Lly6pRo4ak/y6RuN/vuKDHBi6MQ6GJiIjQ9OnT\nNWrUKA0YMOCBc+fOnXvPLVBOnjypunXrFmJCFKX87A9NmzbViRMncvwT2OHDh9WsWbNCTonihmMD\n7uC4ULpVrVpV1atX1+HDhy1jMTExql69+j3rgSXrHBsowSgU165d0wcffKCgoCB16dJFly9ftnzd\nvn1bkpSammpZA+Tr66vo6GgtX75cSUlJWrNmjbZs2aLBgwfb8mXASvK7P/j4+Kh69eoKDw/X6dOn\ntWjRIh09elS9e/e25ctAEeHYgDs4LhjLCy+8oOnTp+vQoUM6ePCgZs6cqf79+1set/qx4aFvrgY8\nwPbt282enp45vho2bGj29PQ0//zzz2az2Wz29fXNcX/HPXv2mHv06GFu2rSpuWvXrubdu3fbKj6s\n7GH2h8TERHPfvn3NTZo0MXfv3t184MABW8VHIfLz87vn3rAcG4wpL/sCx4XSLTs72zx58mSzj4+P\nuXXr1uaZM2fmeNzaxwaT2Ww2W7vJAwAAAMUZyyEAAABgOJRgAAAAGA4lGAAAAIZDCQYAAIDhUIIB\nAABgOJRgAAAAGA4lGAAAAIZDCQYAAIDhUIIBAABgOJRgAMWWn5+fPD09LV+NGjVSy5YtFRISopiY\nGKtv79ChQ/L09NT58+clSSEhIRoxYkSefjY9PV2rV68u0PZ//vlneXp6Kjo6OtfH77wHd78nd783\nec2alZWlFStW5DlXdna2PD09tXXr1lwfb9++/X1zeXp6auDAgXne1sNo166dFi9eXKjbAFD62Ns6\nAAA8yKBBgywlymw26+rVq5oxY4Zefvll7dy5U9WqVbPq9kwmk+X7+fPny84ub+cKli5dqoiICPXp\n08dq2/+jqKgoy/fbt2/XpEmTFBUVJbPZLElycnLK0zYiIyM1bdo09e/fv0BZ736+27dvS5Kio6M1\nbNgwRUREqEqVKpIkR0dHq2znfrZu3aqyZcsW6jYAlD6UYADFWtmyZeXu7m75c+XKlTVu3Dg9/fTT\n2r17t0JCQgpt225ubnmee6eIFtSDnufu96FcuXKSpEqVKll1Gw+jYsWKlu/Lly9vGbs7b2G60y9o\n0gAACgpJREFUe/sAkFcshwBQ4pQpU0aS5OzsLOn3ZRNTpkxRt27d1KZNG8tSicWLFysgIEDNmjVT\ncHDwPf+cHxMTo+eff15NmzZVUFCQ4uLicjz+x+UQP/74o0JDQ9W8eXO1bdtWY8eO1c2bNzVv3jzN\nnz9fP//8sxo1amRZTrFp0yZ17dpVTZs2Vbdu3bRy5cocBfTUqVPq37+/mjdvrmeeeUYHDhx44Jng\nvLpw4YKGDx+utm3bqnnz5ho8eLBOnTolSfr00081ZswYZWVlqVGjRvr+++9lNpu1cOFCPfPMM2rc\nuLFatmypV155RefOnStwlrtdu3ZNI0aMUOvWrfXkk09q4MCBOd7zGTNmaODAgXrzzTfVsmVLTZ06\nVevWrVOnTp20evVqtWvXTi1bttRbb72l1NRUy8/dvRxixowZeu2117RgwQI9/fTTatKkifr376/E\nxMQ857hx44bCw8PVtm1bNWnSRD179tTevXut+l4AsD1KMIASJTk5WePHj5eLi4uefvppy/iaNWs0\nZswYLVmyRE2bNtXMmTO1fv16vffee9q6dav69euncePGae3atZKkpKQkDRo0SF5eXoqMjNQbb7yh\n+fPn33e7SUlJ6t+/v6pVq6aNGzdq3rx5ioqK0rhx4zRo0CCFhoaqevXqioqKUrVq1bR+/XpNmzZN\nQ4cO1fbt2/X2229r8eLFmjFjhiQpLS1NAwYMUPny5bVx40aNHTtWCxYsKPD7k5aWpr///e9KTU3V\nokWLtG7dOjk4OKhPnz5KTk5WYGCgwsPDZW9vr6ioKDVp0kTLli3TypUrNXr0aO3evVvz589XfHy8\npk2bVuA8d9y+fVsDBw7UL7/8oqVLl2r9+vXy9PTU3//+d8XHx1vm7d+/X3/5y18UGRmpF198UZJ0\n/vx5bdiwQfPnz9fy5cv1008/6eWXX77vtqKionTy5EktW7ZMq1ev1sWLFzVx4sQ855g2bZqSkpK0\nbNky7dy5U61atdJbb72llJQUq70fAGyP5RAAirWPP/5YS5culfT7BVqZmZmqX7++5syZIw8PD8u8\n9u3bq3Xr1pJ+v0htxYoVmjlzpqUo16pVS+fOndOSJUv04osvasOGDapSpYree+89mUwm1a1bV+fP\nn9fkyZNzzbFhwwZVrFhREydOtKwTnjhxoo4cOaKyZcvKxcVFdnZ2luUJCxcu1Ouvv64uXbpIkh59\n9FFdv35d48aN05tvvqlt27YpPT1dkyZNkouLi+rXr6+RI0dq6NChBXq/IiIilJaWpjlz5liWc8ya\nNUsBAQFas2aNhg0bJhcXF0n/XUpRt25dTZkyRX/7298kSdWrV1enTp309ddfFyjL3fbt26d//etf\nio6Otqzf/d///V/FxMRo1apVGjt2rKTfz/IPHTo0xzri7OxszZw5U/Xr15ckTZ48WUFBQYqJiZG3\nt3eu25s6daplO7169bKcKc5LjqSkJLm4uKhmzZpydXXVO++8o3bt2lneNwClAyUYQLH2wgsvqF+/\nfpIkOzs7lS9fXq6urvfM+8tf/mL5/vTp07p165bCwsJyzLl9+7YyMzOVkZGhU6dO6Yknnsix/KB5\n8+b3zXHq1Ck1btw4x4VyPj4+8vHxuWduamqqLl68qJkzZ2rWrFmWcbPZrMzMTJ07d06nTp1SnTp1\nchSrFi1aFHi97qlTp1SvXr0c65mdnZ3VuHFj/fvf/871Z/z8/BQbG6s5c+bozJkzOnPmjE6fPq1H\nH320QFnuduLECWVnZ+upp57KMZ6ZmWlZ1iJJHh4e91xIV6lSJUsBln6/S0bZsmX1r3/9K9cS7OHh\nkeNCOTc3N2VmZuY5x6uvvqohQ4aodevWlqUv3bt31yOPPPKQrx5AcUQJBlCslS9fXrVq1frTeXff\nGeFOkZw9e7bq1at3z1wHB4cc8/44nht7+7wfLu8878iRI9WmTZt7Hr/fHS3ys40HbTu3dcW3b9/O\nUTbvtmDBAi1evFg9e/ZU27ZtNXDgQO3atUtffvllgfPcvf1KlSpp3bp19zx2d+nNLWNu70t2dvZ9\n36/c7kZx53eSlxxPPvmk9u3bp++++04HDhzQxo0bNX/+fK1YsUItWrS4zysEUNKwJhhAqVOvXj3Z\n29vr/PnzqlWrluVr7969Wrp0qUwmkxo1aqSjR48qKyvL8nNHjx6973PWr19fx48fz1Gcd+/eLT8/\nP2VkZOSY6+7uLnd3dyUmJubY/tGjRy1nhhs1aqQzZ87o6tWrObZf0AvjGjZsqNOnT+vatWuWsfT0\ndB0/flyPPfaYpHtvw7Zo0SK99dZbGjNmjJ577jk1adJECQkJVr2LRIMGDXTlyhVJyvGezJ8/X998\n880Df/by5ctKTk62/PnYsWPKzMzUE088USg5Zs2apdjYWPn7+2v06NHatWuXqlatqt27d+d7ewCK\nL0owgFLH1dVVL7zwgmbPnq0tW7YoKSlJGzdu1PTp01W1alVJ0osvvqj09HSNHDlS8fHx2rt3r+bN\nm3ff5+zTp4+uXr2q999/X/Hx8YqOjta0adPUtm1bOTo6ysXFRb/++qvOnj2rrKwsDR48WKtWrdLq\n1auVlJSk3bt3a9y4cSpbtqwcHBzUrVs3ubu7a/jw4YqLi9OhQ4f04YcfFvi19+jRQ25ubnr77bd1\n7NgxxcXFKSwsTJmZmXruueckSY888oiys7MVFxenjIwMVatWTd9++63i4+OVkJCgmTNnau/evfeU\n+7zKrTz7+vqqXr16euuttxQTE6OffvpJ48aN07Zt29SgQYMHPl92drbCwsJ08uRJHT58WCNGjFCr\nVq3017/+Nd/Z8pLj7NmzGjt2rA4dOqTz589rx44dSklJ4SwwUMpQggEUW3k9K5rbvJEjR2rAgAGa\nO3euunXrpsWLF+vtt9/W66+/LkmqWrWqVqxYoQsXLqhXr16aOnWq5bHcVK1aVcuWLVNCQoJ69uyp\n4cOHy9/fX2PGjJEkderUSZUrV1ZgYKBOnDih0NBQhYeHa/Xq1eratasmTZqkF154wXIBWNmyZbVy\n5Uo5ODjopZdeUnh4+APveJBXbm5u+uSTT+Ti4qL+/furb9++ys7O1tq1a1W9enVJUtu2beXl5aXn\nn39e+/bt04wZM/Tbb7+pd+/e6tevnxISEjR27FilpKTo0qVL932P7ye3uQ4ODlqxYoUef/xxDRky\nREFBQTpx4oQ+/vhjNWvW7IHP5+TkpI4dO2rgwIF6/fXX1axZs3v+wpLXfHnJMXHiRLVo0ULDhw9X\n586d9dFHH2n06NHq2LFjHt8BACWByWztu6YDAGAl69at06RJkxQbG2vrKABKGc4EAwAAwHAowQAA\nADAclkMAAADAcDgTDAAAAMOhBAMAAMBwKMEAAAAwHEowAAAADIcSDAAAAMOhBAMAAMBwKMEAAAAw\nHEowAAAADOf/Ac0FuCP3p+BTAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x112695940>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "{'Linear Model': {'Linalool': {'Sample Standard Deviation': 0.9137118454661237, 'Sample Mean': 0.2840080861602499}, 'Geraniol': {'Sample Standard Deviation': 1.2078091545335878, 'Sample Mean': 0.3061569898840497}, 'Total Terpines': {'Sample Standard Deviation': 0.9320264973026205, 'Sample Mean': 0.2014871730116581}}, 'Gaussian Regressor Model': {'Linalool': {'Sample Standard Deviation': 0.7327355700131791, 'Sample Mean': -0.01065437229773214}, 'Geraniol': {'Sample Standard Deviation': 1.3216945583701518, 'Sample Mean': 0.07599621108895731}, 'Total Terpines': {'Sample Standard Deviation': 0.923658781215894, 'Sample Mean': -0.10497009337441125}}}\n"
     ]
    }
   ],
   "source": [
    "#Cross Validate Linear Model\n",
    "linear_regressor_1 = LassoLarsCV(positive=False,normalize=False)\n",
    "linear_regressor_2 = BayesianRidge()\n",
    "linear_regressor_3 = BayesianRidge()\n",
    "\n",
    "#linear_regressor_1 = LassoLarsCV(positive=False,normalize=False)\n",
    "#linear_regressor_2 = LassoLarsCV(positive=True,normalize=False,fit_intercept=False)\n",
    "#linear_regressor_3 = LassoLarsCV(positive=True,normalize=False,fit_intercept=False)\n",
    "\n",
    "if promoters:\n",
    "    #Create Linear Model of Flux\n",
    "    linear_df1 = df[['Promoter tHMG1','Promoter FPPS']]\n",
    "    linear_df1['Total Terpines'] = df['Linalool'] + df['Geraniol']\n",
    "    #if log_targets:\n",
    "    #    linear_df1['Total Terpines'] = linear_df1['Total Terpines'].apply(math.log)\n",
    "    #display(linear_df1)\n",
    "\n",
    "    #Create Linear Model of Flux Path (Linalool/Geraniol)\n",
    "    linear_df2 = df[['Promoter LIS','Promoter GerS']]\n",
    "    linear_df2['Percent Linalool'] = df['Linalool']/(df['Geraniol'] + df['Linalool'])\n",
    "    #display(linear_df2)\n",
    "\n",
    "    linear_df3 = df[['Promoter LIS','Promoter GerS']]\n",
    "    linear_df3['Percent Geraniol'] = df['Geraniol']/(df['Geraniol'] + df['Linalool'])\n",
    "else:\n",
    "    #Create Linear Model of Flux\n",
    "    linear_df1 = df[['tHMG1','FPPS']]\n",
    "    linear_df1['Total Terpines'] = df['Linalool'] + df['Geraniol']    \n",
    "    #if log_targets:\n",
    "    #    linear_df1['Total Terpines'] = linear_df1['Total Terpines'].apply(math.log)\n",
    "    #display(linear_df1)\n",
    "\n",
    "    #Create Linear Model of Flux Path (Linalool/Geraniol)\n",
    "    linear_df2 = df[['LIS','GerS']]\n",
    "    linear_df2['Percent Linalool'] = df['Linalool']/(df['Geraniol'] + df['Linalool'])\n",
    "    #display(linear_df2)\n",
    "\n",
    "    linear_df3 = df[['LIS','GerS']]\n",
    "    linear_df3['Percent Geraniol'] = df['Geraniol']/(df['Geraniol'] + df['Linalool'])\n",
    "    #display(linear_df3)    \n",
    "    \n",
    "display(linear_df1)\n",
    "\n",
    "#Perform Leave one out cross validation for whole model\n",
    "linear_regressor_predictions = []\n",
    "for i in range(len(linear_df1)):\n",
    "\n",
    "    #data_1 = linear_df1[['tHMG1','FPPS','Total Terpines']].values\n",
    "    #data_2 = linear_df2[['LIS','GerS','Percent Linalool']].values\n",
    "    #data_3 = linear_df3[['LIS','GerS','Percent Geraniol']].values\n",
    "    \n",
    "    for k,data in [(0,linear_df1.values),(1,linear_df2.values),(2,linear_df3.values)]:\n",
    "        Y_test = data[i][2:]\n",
    "        X_test = data[i][:2].tolist()\n",
    "\n",
    "        Y_train = [x[2:].tolist() for j,x in enumerate(data) if j != i]\n",
    "        X_train = [x[:2].tolist() for j,x in enumerate(data) if j != i]\n",
    "\n",
    "        #print(X_test)\n",
    "        #print(Y_test)\n",
    "        #print(X_train)\n",
    "        #print(Y_train)\n",
    "        \n",
    "        if k == 0:\n",
    "            linear_regressor_1.fit(X_train,Y_train)\n",
    "            flux_prediction = linear_regressor_1.predict(np.array(X_test).reshape(1,-1))[0].tolist()\n",
    "        elif k==1:\n",
    "            linear_regressor_2.fit(X_train,Y_train)\n",
    "            percent_linalool_prediction = linear_regressor_2.predict(np.array(X_test).reshape(1,-1))[0].tolist()\n",
    "        elif k==2:\n",
    "            linear_regressor_3.fit(X_train,Y_train)\n",
    "            percent_geraniol_prediction = linear_regressor_3.predict(np.array(X_test).reshape(1,-1))[0].tolist()\n",
    "    \n",
    "    flux_prediction = max(flux_prediction,0)\n",
    "    #print('Flux Prediction',flux_prediction)\n",
    "    linalool_prediction = flux_prediction*percent_linalool_prediction\n",
    "    geraniol_prediction = flux_prediction*(percent_geraniol_prediction)\n",
    "    \n",
    "    Y_test = df[['Linalool','Geraniol']].values[i].tolist()\n",
    "    #print(Y_test)\n",
    "    \n",
    "    linear_regressor_predictions.append([[linalool_prediction,geraniol_prediction],Y_test])\n",
    "\n",
    "#print([point[0][1] for point in linear_regressor_predictions])\n",
    "mu_vec,sigma_vec = plot_model_accuracy(linear_regressor_predictions,log=log_log_plot)\n",
    "report['Linear Model'] = {'Linalool':{'Sample Mean':mu_vec[0]}}\n",
    "report['Linear Model']['Linalool']['Sample Standard Deviation'] = sigma_vec[0]\n",
    "report['Linear Model']['Geraniol'] = {'Sample Mean':mu_vec[1]}\n",
    "report['Linear Model']['Geraniol']['Sample Standard Deviation'] = sigma_vec[1]\n",
    "report['Linear Model']['Total Terpines'] = {'Sample Mean':mu_vec[2]}\n",
    "report['Linear Model']['Total Terpines']['Sample Standard Deviation'] = sigma_vec[2]\n",
    "print(report)\n",
    "\n",
    "#Create Object Oriented Linear Model\n",
    "class linear_model_class:\n",
    "    def __init__(self,output):\n",
    "        self.output = output\n",
    "    \n",
    "    def predict(self,X):\n",
    "\n",
    "        \n",
    "        flux_prediction = linear_regressor_1.predict(np.array(X[:2]).reshape(1,-1))[0].tolist()\n",
    "        percent_linalool_prediction = linear_regressor_2.predict(np.array(X[2:]).reshape(1,-1))[0].tolist()\n",
    "        percent_geraniol_prediction = linear_regressor_3.predict(np.array(X[2:]).reshape(1,-1))[0].tolist()\n",
    "        flux_prediction = max(flux_prediction,0)\n",
    "\n",
    "        #print('Flux Prediction',flux_prediction)\n",
    "        linalool_prediction = flux_prediction*percent_linalool_prediction\n",
    "        geraniol_prediction = flux_prediction*(percent_geraniol_prediction)\n",
    "        #print(linalool_prediction)\n",
    "        #print(geraniol_prediction)\n",
    "        \n",
    "        if self.output == 'linalool':\n",
    "            prediction = linalool_prediction\n",
    "        elif self.output == 'geraniol':\n",
    "            prediction = geraniol_prediction\n",
    "        return prediction\n",
    "    \n",
    "#model = linear_model_class('linalool')\n",
    "#model.predict([1,2,3,4])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Kinetic Model\n",
    "\n",
    "The kinetic model developed here uses Michalis Menten kinetics and information from the literature about this section of the mevalonate pathway.  This pathway is heavily studied and so there are kinetic coefficents that were used as a starting point. We incorporated a significant ammount of biological intuition without overparameterizing the model.  Additionally, to avoid overfitting the model was cross validated using a leave one out methodology.\n",
    "\n",
    "This model was developed under a few assumptions.  First we assume that the intermediate metabolites do not cause feedback inhibition. This is reasonable first because only HMGR appears to be feedback inhibited, and tHMG1 was engineered into the pathway as a modified enzyme that does not suffer from inhibition. Additionally the levels of production are purposely low and intended to hit a partiular target to mimic the taste of hops in beer.  As a result feedback inhibition is much less of a concern than it would be if we were trying to maximize titers. \n",
    "\n",
    "Second, we assume that IPP is an abundant enough reactant of to not be included in the model. \n",
    "\n",
    "The following components will be modeled:\n",
    "\n",
    "Enzymes: FPPS1, FPPS2, IDI, LIS, GerS\n",
    "Metabolites: IPP, DMAPP, GPP, FPP, Linalool Geraniol\n",
    "We assume the system has reached steady state so DMAPP and IPP concentrations are constant.  Additionally, it is assumed that IPP concentrations are not limiting.\n",
    "\n",
    "$\\frac{d[GPP]}{dt} = \\frac{K_{cat0}[FPPS_1][DMAPP]}{K_{m0}+[DMAPP]} + \\frac{K_{cat1}[FPPS_2][DMAPP]}{K_{m1}+[DMAPP]} -\\frac{K_{cat2}[FPPS_1][GPP]}{K_{m2}+[GPP]} - \\frac{K_{cat3}[FPPS_2][GPP]}{K_{m3}+[GPP]} - \\frac{K_{cat4}[LIS][GPP]}{K_{m4}+[GPP]} - \\frac{K_{cat5}[GerS][GPP]}{K_{m5}+[GPP]}$\n",
    "\n",
    "$\\frac{d[Geraniol]}{dt} = \\frac{K_{cat5}[GerS][GPP]}{K_{m5}+[GPP]}$\n",
    "\n",
    "$\\frac{d[Linalool]}{dt} = \\frac{K_{cat4}[LIS][GPP]}{K_{m4}+[GPP]}$\n",
    "\n",
    "Since FPPS is measured as a combination of the endogenous and engineered versions of the proteins we express FPPS_1 and FPPS_2 as functions of FPPS counts and the parameters $\\alpha_0$ and $\\beta$.\n",
    "\n",
    "$[FPPS_1] = \\alpha_0 \\beta [FPPS]$\n",
    "\n",
    "$[FPPS_2] = \\alpha_0 (1-\\beta)[FPPS]$\n",
    "\n",
    "From the literature the following values have been found.  These may have to be slightly modified in order to fit the model to our data.\n",
    "\n",
    "$K_{cat0} = 0.25$\n",
    "\n",
    "$K_{m0} = 0.17\\times 10^{-6}$\n",
    "\n",
    "$K_{cat1} = 0.012$\n",
    "\n",
    "$K_{m1} = 0.49\\times 10^{-6}$\n",
    "\n",
    "$K_{cat2} = 0.63$\n",
    "\n",
    "$K_{m2} = 0.43\\times 10^{-6}$\n",
    "\n",
    "$K_{cat3} = 0.021$\n",
    "\n",
    "$K_{m3} = 27.56\\times 10^{-6}$\n",
    "\n",
    "$K_{cat4} = 0.24$\n",
    "\n",
    "$K_{m4} = 25\\times 10^{-6}$\n",
    "\n",
    "$K_{cat5} = 0.8$\n",
    "\n",
    "$K_{m5} = 21 \\times 10^{-6}$\n",
    "\n",
    "We want to derive an optimization problem which will allow us to determine production of Limonene & Geraniol from [FPPS],[LIS],[GerS]. Given an existing data set, we can find the parameters to fith the model. The parameters that we will use are as follows: $\\beta,[DMAPP],\\alpha_0,\\alpha_1,\\alpha_2$. Where $\\beta$ is the ratio of [FPPS_1] to [FPPS_2], and the $\\alpha$ parameters are conversions between relative protein measurements and absolute protein concentrations. \n",
    "\n",
    "Additionally, we let the dynamics of GPP reach steady state and let the data define $\\frac{d[Geraniol]}{dt}$ $\\frac{d[Linalool]}{dt}$.\n",
    "\n",
    "\n",
    "$\\frac{K_{cat0}\\alpha_0 \\beta [FPPS][DMAPP]}{K_{m0}+[DMAPP]} + \\frac{K_{cat1}\\alpha_0 (1-\\beta)[FPPS][DMAPP]}{K_{m1}+[DMAPP]} = \\frac{K_{cat2}\\alpha_0 \\beta [FPPS][GPP]}{K_{m2}+[GPP]} + \\frac{K_{cat3}\\alpha_0 (1-\\beta)[FPPS][GPP]}{K_{m3}+[GPP]} + \\frac{K_{cat4}\\alpha_1[LIS][GPP]}{K_{m4}+[GPP]} + \\frac{K_{cat5}\\alpha_2[GerS][GPP]}{K_{m5}+[GPP]}$\n",
    "\n",
    "$\\frac{d[Geraniol]}{dt} = \\frac{K_{cat5}[GerS][GPP]}{K_{m5}+[GPP]}$\n",
    "\n",
    "$\\frac{d[Linalool]}{dt} = \\frac{K_{cat4}[LIS][GPP]}{K_{m4}+[GPP]}$\n",
    "\n",
    "Using these equations, we create a function which given a parameter set and data will return a cost. Then we minimize this cost with respect to the parameters."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": false,
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "/Users/zakcostello/Documents/Kinetic Modeling/Scripts/figures/hopless_beer/Cycle1ProteinNoOutlierskinetic.pickle\n",
      "Data Unpickled!\n",
      "Residual Mean:  0.16226045165331604  Residual Standard Deviation:  0.6521232755240336\n",
      "90% of the predictions are within  1.0727427882370353  of the actual value.\n"
     ]
    },
    {
     "data": {
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atRgzZox1KbEOHTqwYsUKYmJi6NmzJ6+++iqxsbF88MEHxMfHM3nyZCpXrsyjjz7KCy+8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\ndomiCwAAALtE0QUAAIBd+l9SHKrI6Cd4GQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x112f6d438>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Residual Mean:  0.42907129472740224  Residual Standard Deviation:  1.067568245493129\n",
      "90% of the predictions are within  1.7561497638361971  of the actual value.\n"
     ]
    },
    {
     "data": {
      "image/png": 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luHXrFrRarbrrwgMPPGDQvreGBO6qxk6ZMgUvvvgipk6disGDB6OsrAxr1qxBenq6Ok+0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\nAgAAwJAIugAAADAkgi4AAAAM6f8Bxyk0KaVYrv0AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11360efd0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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FAQWAjzm3/D4pJ0HjUmJMToNPEmG3afHZXw66ewe0s7LB5EQAAkUBBYCzPr78\nzuzP4JafnaDx4+IkSfuONKmlo8/kRAACQQEFgLM+rKjTuT0tLL8Ht3MbkmxWi7w+adNeNiQBoYQC\nCgBnnbv/Mz8rQVmpsSanwWdJiI3UvOkZkqS65h5VnZ3dCiD4UUABQFJbZ78OHGuRJF01O9PkNLhU\nJVPTlBgXKUnaWl6rftegyYkAXAoKKABI2vqx5ffFs7PNDYNLZrNZtbTE/++r3+3Rh/vrTE4E4FJQ\nQAFA/qtnkpSXGa/sNJbfQ0lOepym5CZKkiqPt6q+pcfkRAA+CwUUwJjX3uXS/upmSWw+ClWLZmfJ\nEeH/kfbenhp5vWxIAoIZBRTAmPdhRa3O9RXGL4WmGGeEFhT5791t6ehX+dFmkxMB+DQUUABj3pZ9\nHy2/52bEmZwGl2tGforSk6IkSdsP1Kur121yIgAXQwEFMKa1dfYPLb8vZvk9pFktFl09J0cWSYMe\nrzaXnTE7EoCLoIACGNO2VtR9tPxOAQ15aUnRmjU5VZJ0vLZTx2s7TE4E4JNQQAGMaVv2+a+STcyK\nV046y+/h4IoZ4xQTFSFJer/sjAYGPSYnAvDnKKAAxqzWjw2fZ/Zn+HBE2FRa7L+a3d07oJ2VDSYn\nAvDnKKAAxqyt5bUfGz7P8ns4yc9K0IRx/ivaZUea1NLRZ3IiAB9HAQUwZp3b/Z6fnaAshs+HFYvF\noiUlObLbLPL5/LNBfT5mgwLBggIKYExq6ehT5fFzy+9c/QxH8TEOzZ8+TpJU39KrgydaTU4E4BwK\nKIAxaWs5z34fC2ZPTVNyvFOS/995n2vQ5EQAJAoogDHq3O73yTkJykyNMTkNRovNatHSEv8vGK4B\nj7aW15qcCIBEAQUwBvmX3/3LsVz9DH9ZabGanpcsSao62aYzjd0mJwJAAQUw5nyw76OrYAyfHxuu\nmpkpp8MmSdq0t0Yej9fkRMDYRgEFMOace0Tj5NxEjUth+X0scEbaddUs/y8bbV0u7T3cZHIiYGyj\ngAIYUxpae1V1sk2SVMry+5hSMCFJWWfv9911sEEd3S6TEwFjFwUUwJjy/t6aoT+XFlNAxxKLxaKl\nc3JktUger0+by84wGxQwCQUUwJjy/l7/8vuM/BSlJUWZnAZGS453qnhqmiTpZH2XjtV2mJwIGJso\noADGjJP1nTpR1ylJQ6N5MPbMm56h2OgISdKWslq5Bz0mJwLGHgoogDHj3NVPm9UytCEFY0+E3TZ0\n+0V334ABMC15AAAgAElEQVR2VjaYnAgYeyigAMYEn883dP9n8dQ0JcRGmpwIZsrPSlBeZrwkad+R\nJrV09JmcCBhbKKAAxoTDp9pU39IrSVpSkmNyGgSD0uJs2W0W+XzSpj1sSAKMRAEFMCacW3532K1a\nUDTO5DQIBvExDs2bniFJqmvpGRrPBWD0UUABhL1zI3ckaf6McYp2RpicCMGieGqakuL8t2NsLa9V\nv3vQ5ETA2EABBRD29h9tVluXf+g4u9/xcTardeiWjH63R9sP1JucCBgbKKAAwt6ms5uPop12zS3I\nMDkNgk1Oeqym5CZKkvZXt6ixrdfkRED4o4ACCGsDgx5tLa+VJC2cmSlHhM3kRAhGV83KUoTd/yPx\n/b1sSAJGGwUUQFjbXdWonn7/fX1L2f2Oi4iNitD8Qv/V8YbWXh080WpyIiC82c0OAACj6b3d/uX3\nxNhIzZqcanKa4OD1etXc3Gx2jM/U3NwsGXglctbkNFWdaFNrZ78+rKhTfnaCnA5+TAKjgf9nAQhb\nXb3uoU0lS+Zky2Zj0UeSurs6tGFbvTIygvtex7ozJxWfmKLEZGN+cbBZLVpSkq0/bqpWv9ujbfvr\ndfUcrpoDo4ECCiBsbS47o0GPV5J03bzxJqcJLrGx8UpMSjE7xqfq7DB+Lmd2Wqymjk/U4VPtOnCs\nRYV5yUpPjjY8BxDuuBwAIGxt3HVakpSXGa/87AST0yBUXDXzYxuSytiQBIwGCiiAsFTT2KVDZ59s\nc938XJPTIJTEREXoikL/07IaWnt5QhIwCiigAMLSuaufVquF3e8I2MzJqUNPSPqwok6uAY/JiYDw\nQgEFEHa8Xp/ePbv7fc60dCXFO01OhFBjs1pUWux/alafa1A7eUISMKIooADCTkV1s5rb+yRJ185j\n+R2XJzcjbuje4fLqZrV09JucCAgfFFAAYefc8ntMVISunDHO5DQIZYtmZclmtcjn809VYEMSMDIo\noADCSp9rcOjRm6XF2Tx6E8MSH+PQnIJ0SdKZpm5Vn+kwOREQHiigAMLK1vJa9bv9G0auY/kdI2DO\ntHTFRTskSR/sq9XAoNfkREDoo4ACCCvnlt+zUmM0bUKSyWkQDuw2qxbPzpIkdfcNaO+hRpMTAaGP\nAgogbDS29aqi2v+M82vn5cpisZicCOFiYla8ctJjJUl7DjWqs8dtciIgtFFAAYSNt7afks8nWSzS\nNXNZfsfIsVgsWjw7WxaL5PH69GFFrdmRgJBGAQUQFjwerzZsPylJKpmWzvO7MeJSEpwqmpQqSTpa\n06EzTd0mJwJCFwUUQFjYdbBBrZ3+OY03LcgzNwzC1hWFGXI6/JMVNpedkZexTMBloYACCAtvbvNf\n/UyOj9T8wgyT0yBcOR32odmyLR39qjzeanIiIDRRQAGEvMa2Xu2uapAkXX/FBNltvLVh9BTmpygl\nwf941+376+QaYCwTECjepQGEvA3bTw5tPrrhyglmx0GYs1osKp3tf058v9ujiuOdJicCQg8FFEBI\n83i8emv7KUn+geFsPoIRstNjNensc+IP13SrtrnX5ERAaKGAAghpOz+2+ehGNh/BQFd97Dnxv994\nwuw4QEihgAIIaW9+eEKSf/PRFWw+goHiYxwqnpomSao41q5dBxtMTgSEDgoogJDV2NqrPWcfi3j9\nFRNkY/MRDDZnWrqcDv9/d798eb8GPWxIAi4F79YAQhabj2A2R4RNxZP894LWNHbrja0nzA0EhAgK\nKICQNDDo1Vs7/LM/2XwEM+VnRmvCuBhJ0m//VMVz4oFLQAEFEJI+2HdGrZ0uSdLNC/PMDYMxzWKx\n6EvXTZQkdfcN6LkNVSYnAoIfBRRAyPH5fHrp/WpJUmZqjOYXjjM5Eca6qbnxKi32zwZ9fesJnapn\nNijwaSigAEJO5fFWHa3pkCTdXpovq9ViciJA+sqthXLYrfJ6ffrlKwfMjgMENQoogJBz7upnjNOu\n6+aPNzkN4JeeHK07rp4sSdpT1chYJuBTBFxA3W63Hn74Yc2fP1+lpaVau3btRc997733tGLFCpWU\nlGj58uXauHHjsMICQH1Lj7btr5Mk3bAgT1GRdpMTAR/5wrVTlBwfKUn61SuMZQIuJuAC+sQTT6iy\nslLr1q3T6tWr9eSTT2rDhg0XnHfo0CE98MADuvPOO/Xyyy/rrrvu0je/+U0dOnRoRIIDGJte2XJM\nPp9ktVr0ucUTzY4DnCcq0q6/urlQknS6oXvoQQkAzhdQAe3r69MLL7ygRx55RAUFBVq2bJlWrVql\nZ5999oJzX331VS1cuFD33HOPcnNzdc899+jKK6/UG2+8MWLhAYwtvf0DQ899v2pmptKTGL2E4HPt\nvFxNyvHPBv3tn6rU3ctYJuDPBVRAq6qq5PF4VFxcPHRs7ty5Ki8vv+DcO+64Q9/+9rcvON7d3X0Z\nMQFA2rD9lPpcg5Kk5UsnmZwG+GRWq0Wrbi+SJHX1Dui5t1j5A/5cQAW0qalJiYmJsts/uucqJSVF\nLpdLbW1t552bn5+vadOmDX185MgRbdu2TQsXLhxmZABjkcfr0ytbjkmSpk1IUsGEZJMTARdXNClV\nV83KlCS9tuW4zjRx8QX4uICX4B0Ox3nHzn3sdl98iaG1tVUPPPCA5s6dq+uuu+4yYgIY67btr1Nj\na68kafkSrn4i+H31czNkt1nl8fr0q5cZywR8XEAFNDIy8oKiee7jqKioT3xNc3OzVq5cKYvFop//\n/OeXGRPAWObz+bT+3SOSpLSkKF01M9PkRMBnG5cSo+VL8iVJOyrrVXa40eREQPAIqIBmZGSovb1d\nXu9HYyWam5vldDoVHx9/wfkNDQ2655575PF4tG7dOiUlJQ0/MYAxZ++hJh0+1S5JWrFkkmw2Rhgj\nNNy1bKoSYv0rhc+8tF8exjIBkgIsoNOnT5fdbldZWdnQsV27dqmoqOiCc/v6+rRq1SpFRETo2Wef\nVWpq6vDTAhhzfD7f0LO1E+MidSPPfUcIiXZG6C9vmi5JOlnfpQ07TpmcCAgOARVQp9Op5cuXa/Xq\n1aqoqNDbb7+ttWvXauXKlZL8V0NdLpck6amnnlJNTY3WrFkjr9er5uZmNTc3swseQED2HWlS1Un/\nJscvXDNZkRE2kxMBgbn+ygnKy/SvEj77xkH19A2YnAgwX8DrWA899JCKioq0cuVK/ehHP9KDDz6o\nZcuWSZIWL148NOdzw4YN6u/v11133aXS0tKhv37yk5+M7HcAIGz5r376R9gkxkbqJq5+IgTZrBZ9\nbYV/pbCzx63fv33Y5ESA+QJ+hp3T6dSaNWu0Zs2aCz5XVVU19GcGzgMYrorqZlUeb5Uk3XH1JDkd\nPHYToWnW5DQtKBqnbfvr9crmat20cIKyUmPNjgWYhjv5AQSt323wXymKj3Ho5qt47CZC21dvmyG7\nzaJBj09rX2EsE8Y2CiiAoLS/ulkV1c2SpBVLJykqkqufCG1ZqbG6rdQ/w3bb/nrtO9JkciLAPBRQ\nAEHpd2cfXxgXHaFbF3H1E+Hhi38+lsnrMzkRYA4KKICgc+BYi/Yd8V/9XL50kqKdESYnAkZGTFSE\n7jk7lulEXac2bD9pciLAHBRQAEHF5/vo/rjYqAh9blG+yYmAkXXDx8YyrXv9oLp7L/4oayBcUUAB\nBJXNZWd06JR/7ucXr5+mmCiufiK82KwW3b9ipiSpq9c9NGoMGEsooACChmvAo1+/VilJykyN4d5P\nhK2Zk1O1aFaWJOnVD47rVH2nyYkAY1FAAQSNl9+vVlNbnyTpq58rVISdtyiEr6/eNkMRdqu8Xp+e\neWm/fD42JGHs4N0dQFBo6+rX8+8ckSTNyE/RgqJMkxMBoysjOVqfv3qyJGnv4SbtrGwwORFgHAoo\ngKDw2z8dUp9rUJJ03+0zZLFYTE4EjL6/uHaKUhKckqRnXt6vgUGPyYkAY1BAAZjuZH2nNmw7IUm6\nZm6OpuQmmRsIMIgz0q6vfG6GJKmuuUcvv3/M5ESAMSigAEzl8/n0q1cOyOuTHBE2/dXNhWZHAgy1\ntCRb0/OSJUm/f/uQWjr6TE4EjD4KKABTbS2v056qRknSHVdPUlpSlMmJAGNZLP6xTBaL1OfyaO0r\nlWZHAkYdBRSAabp63XpqfbkkKT0pSl+4ZorJiQBzTM5N1E0L8iRJm/bWqKK62dxAwCijgAIwzTMv\n7Vd7t0uS9Hd3Fisq0m5yIsA8f3nzdMVF+x+88Iv15fJ4vCYnAkYPBRSAKXZXNWjjrtOSpOvm52rO\ntHSTEwHmio9x6K9v8d8DfbK+S699cNzkRMDooYACMFxv/4D+7YV9kqTEuEjdd3uRyYmA4HD9lRM0\nOSdBkvT//lSltq5+kxMBo4MCCsBw614/OPTEo7/5/CzFRTtMTgQEB5vVor/5/CxJUm//oH79KhuS\nEJ644QoYw7xer1paWgz9modPdw4tLc6dmqypmRFqamr6zNelpKTIauV3ZoS/aROSdf0V4/XWjlPa\nuOu0blqQp+kTk82OBYwoCigwCt77YIc6ugbMjvGZvANdaul1KDYuwZCv5x706o0dDfJJctgtmpAe\nqXd2nvrM13V3dWj5tTOVlpY2+iGBILDy1kJtrahTT9+A/v3FffrZ/1oqu41fwBA+KKDAKOjtG1Rk\nQrbZMT5T65kDio1LUGJSyqh/LZ/Ppzc/PKnuPv+jBktLcpQ5jqs6wCdJiI3Uylum699fLNeJuk69\n/H61Ps+YMoQRfp0CYIh9R5p1rLZDklQwIUkFEyifwKe5cUGepk3wP5b2txsOqaG11+REwMihgAIY\ndXXNPfqwolaSlJLg1JKSHJMTAcHParXo7/5itqxWi1xuj55aXy6fz2d2LGBEUEABjKo+16A2bD8p\nr0+KsFt144IJirDz1gNciolZCVq+ZJIkadfBBm2tqDM5ETAy+CkAYNT4fD69veOUuvv8G7KumZur\npDinyamA0PLlG6YpLSlKkvSff6hQb3/wb3AEPgsFFMCo2ba/XqcauiRJMyelaEpuosmJgNDjjLTr\nb+7wzwZt7ezXs29WmZwIGD4KKIBRse9Ik/YcapQkpSdFa9GsLJMTAaHrihnjtHBmpiTptS3HdPhU\nm8mJgOGhgAIYcYdPtWnLPv+mo/gYh25dlCcbMwyBYbl/xUxFRdrl9Uk///1eDQx6zI4EXDZ+IgAY\nUafqO4eGy0c77bq9NF/RzgiTUwGhLzUxSvfeNkOSdKq+S79/67DJiYDLRwEFMGIaWnv1xof+He8O\nu1W3Lc5XQmyk2bGAsHHjggmaNTlVkvT8xiOqrmk3ORFweSigAEZEU1uvXt1yTIMer2xWi25ZNFGp\niVFmxwLCisVi0QN3FSvSYZPX69O//L5Mgx6v2bGAgFFAAQzb6YYu/WFTtfrdHlkkXX/leGWnxZod\nCwhL41JitPKWQknSsdoOvbjxiMmJgMBRQAEMy5HTbXp1y3ENDHpltVh0/ZXjNSmbcUvAaLp10UQV\nTvQ/zvZ3bx3SyfpOkxMBgaGAArhs5UebtGH7KXl9PkXYrfrc4omakptkdiwg7FmtFn3ziyVy2K0a\n9Pj0f3+3l6V4hBQKKICAeb0+bS2v1eYy/6ilqEi77lg6SbkZcSYnA8aO7LRY3XPTdEnS0dPtem7D\nIZMTAZeOAgogIJ09bv1h01HtPdwkyT/n8wvXTFZaUrTJyYCxZ/nSSSqalCJJeuGdwzpwrMXkRMCl\noYACuGRHa9r1+7cPqb6lV5KUmRqjz18zmVFLgElsVov+15fmKMbpH1D/z7/drZ4+nhWP4EcBBfCZ\nBgY9enf3af1p20m5B7yySLqiMEMrlk5SDEPmAVOlJ0Xrb/9itiSpsa1PT/2h3OREwGezmx0AQPDy\n+Xw6fKpNH+6vH7qqEhsVoeuvHK+sVMYsAcFiSUmOdh1s0Lu7a/Te7hrNK8jQ0jk5ZscCLooCCuAT\n1TX3aMu+M2ps6xs6Nik7QVfPzZHTwVsHEGz+5vOzdOB4qxpbe/UfL+7T9LxkpSdzbzaCE0vwAM7T\n1N6nP207ofXvHR0qn4mxkbr1qom6ccEEyicQpKKdEfr2l+fIapF6+gf1f57dpYFBRjMhOPGTBIC8\nXp+O13ao/Gizapt7ho5HRtg0vzBDRZNSZLPy+yoQ7AonpuiL10/TcxsOqepkm9a+ekD3r5hpdizg\nAhRQYIzy+Xzq6PWppqFTx+ob1N370c5Zm9WiwonJml84TlGRvE0AoeSL109T1YlW7T3cpFc2H1PB\nhCQtKeF+UAQXfrIAY4jX51Nja6+OnenQ8dpOtXd7JH30CL/YqAjNnJSqwonJclI8gZBks1r07Xvm\n6n/+bJOa2/v0r/9dprzMeI0fF292NGAIP2GAMOXz+dTrGlRja6/qW3rV0NqrxrbeT7wnLDstRkWT\nUpWflSCr1WJCWgAjKSE2Ug+tnK/vPblZ/W6P1vzXTv3Tg0sUzdg0BAkKKBCiPF6vevsH1dc/qF7X\noHr7B9TV41ZHj1vt3S51dLvkHvjkDQg2q0W5GXFKj+pWbnaGxmWkG5wewGibOj5JX1sxU//xYrlq\nGrv1r/9dpr//q3myWPglE+ajgAImGfT4C6TLPSjXgMf/l9sj94BX7gGP3INeDQye/XjQ4z824JVr\nwP/nQHa32m1WpSdFaVxKtDKSY5STHitHhE2tZw7I6rCN4ncJwEw3L8zTwROtem93jbbsq9XErCO6\na9lUs2MBFFBgNPh8PvX2D6ij263OHtfZv7vV1eseulp5sauTwxFhtyoxNlIJsQ4lxEYqITZSaYlR\nSo53srQOjEEWi0V/94XZOlHbqRN1nVr3xkFlpsSotCTb7GgY4yigwDD5fD7VNHaruqZdx2o7dfxM\nh6pOtqjf3XxZ/zyLpIgIqxx229DfHXarHBE2RTps/o/P/jnaaVd0pF3RzghFOe1y2K0srwE4jzPS\nrn+4b4G+8y+b1Nrp0s9+t0epiVGaPjHZ7GgYwyigQIA8Xp9O1HbowLEW7T/WogPHWtTZ4/7U19ht\nVsXHOBQf4/CXRmfE2eJolzPSrsizhTIywqYISiSAEZaWFKX/fe8Cff/ft8jl9ujHa7frp99coszU\nGLOjYYyigAKXoLd/QHsPNWlHZb12HWy4aOGMiYpQflaCLJ4epaamDi2HR0XaKZUATDU5N1HfvWeu\nfvLrHersceuxZ7bp/3yzVHHRDrOjYQyigAIX0dXr1gf7avXBvlrtP9asQY/vgnPGj4tTUX6KivJT\nNW1CktKSomSxWPT621tljWF5C0BwubIoU6tuL9LTL+3XmaZu/WTtDj12/0JFRrAZEcaigAIf0+8e\n1M4DDdq0t0a7qxouKJ2JcZGaPz1Dc6dnqCg/RQmxkSYlBYDLc1tpvuqae/TqB8d14FiL/nHtDj1y\n7xWKsFNCYRwKKCDp6Ol2vbnthN7fW6M+l+e8z+VmxOmqmZmaX5ihKblJ7CYHENIsFotWLS9Se7dL\nW/bVas+hRj3+X7v0/ZXzFWG3mh0PYwQFFGNWb/+ANu09oz9tO6Hqmo7zPpeaGKWlJdlaOidHeZnx\n3L8JIKzYbFZ9+565Ghj0avuBeu2orNdP/98u/f1fzpPNRgnF6KOAYsw509StVzcf0zu7Tp13tdMR\nYVNpcZaWzR+vwokpXOkEENbsNqu+99fz9I+/3qldBxu0tbxO//zcHn3ry3Nl4/0Po4wCijHB6/Vp\n7+FGvbL5mHZXNZ73ubzMeN20ME9L5+QoNornJAMYOyLsNj20cr5+9MvtKjvSpPf3npFFFj14dwnL\n8RhVFFCENfeAR+/tqdEfNx3V6YbuoeN2m0WLZ2fr1sUTNW18EkvsAMYsR4RNP7j3Cj369DYdONai\nTXtr1NHj0kMr5yvayS/lGB0UUISlzh633vjwuF7dclztXa6h44mxkbppYZ5uvipPyfFOExMCQPBw\nOux6dNUCPf6bndpd1aiyw016+D8+0OpVC5QUx3slRh4FFGGlobVXf9x0VG/tOCWX+6P7O8ePi9Md\nSydp6ZwcRo0AwCdwRtr1yL1X6snny/TOztOqrunQ3//rZj32tYXKSos1Ox7CDAUUYaG6pl3r3zuq\nLftq5fV+NLtz9pRU3XH1ZM2Zls4yOwB8BrvNqge/WKLkeKeef+eI6lt69d1/3ayHv3KFZuSnmB0P\nYYQCipDl8/m093CT/vDuUZUdaRo6brVaVDo7W3dcPUmTchJNTAgAocdiseivbylUSrxTv/hjhTp7\n3Hr4Pz7QV24t1Iqlk/hlHiOCAoqQM+jxanPZGf3hvaM6Xts5dDzSYdMNV07Q8iWTlJEcbWJCAAh9\nty7OV0pilH723B719g/qV68c0METrXrwiyWKYWIIhokCipDR0zegDdtP6uXNx9Tc3jd0PCHWoVsX\n5evWRRMVH+MwMSEAhJcFRZn62f9cqjX/tVMn6jr1YUWdTtR16qGV8zUxK8HseAhhFFAEvdrmbr2y\n+Zje2Xn+4Pis1BituHqyrp2Xq8gINhYBwGjISovVTx9coqdeLNfbO0+prrlH3/75+/rSDdN0x9WT\nZefJSbgMFFAEJZ/Pp31HmvTqluPaUVkv30f7ijQ9L1l3XD1JV8zI5GkdAGCAyAibHry7RIUTk/XU\n+nK5B736zesHtaWsVg/cVazJudxvj8BQQBFUunvdemfXab2x9bjONPUMHbdZLVo0O0vLl0zS1PFJ\nJiYEgLHr+isnqCAvWf/632U6eKJVx2o79O1/eV93LJ2kL91YwGoULhkFFKbz+Xw6dLJNG7af1Ka9\nZ+Qe+GiZPS46QjcuyNOtiyYqNTHKxJQAAEnKzYjT43+3WK9vPa7fvF6pPpdHL757VO+XndE9Nxbo\n6rm5rE7hM1FAYZqWjj5t3HVa7+w8rTNN3ed9btr4JN2yKE+LZmfzGzUABBmr1aLPLc7XFTPG6d9f\n2KfdVY1qauvT//3dXq1/76j++ubpumLGOEY24aIooDBUT9+Atu2v0/tlZ1R2qFEfmxmvSIdNS4qz\ndctVE7mfCABCQHpStFavWqBt++v0m9cPqqaxW6fqu/TjtTs0PS9Zdy2bqjnT0mXliij+DAUUo663\nf0A7Khu0peyMdlc1atDjPe/zM/JTtGx+rq6alaVoJ7PlACCUWCwWLZyZpSsKx+mdXaf12z9VqaWj\nXwdPtOqxZ7YpOy1Wt5Xm69p5uYqKpHbAj/8SMCrqW3q0o7JeOysbtL+6WYMe33mfz0yJUWlJtq6b\nn6usVJ4xDAChzmaz6oYrJ2jpnBy9tuWY/vBetdq7XTrT1K2n1pdr3euVuv7KCbpmbq4mZsWzPD/G\nUUAxIrr7BnSgulnlR5u193CTTjd0XXBOWlKUSmdnq7Q4W5NyEnjzAYAwFBlh0+evmaLbSvO1ueyM\nXnr/mI6d6VBP/6D+uKlaf9xUrZz0WC0pydHSkmxlpXERYiwKuIC63W49+uijeuutt+R0OnXvvffq\nq1/96ieeW1lZqUcffVSHDx/WlClT9Oijj2rGjBnDDg3ztXT0qepkmw6dbFNFdbOO1bSfdz/nOROz\n4nVF4TjNL8zQ1PFJlE4AGCMi7DZdO2+8rpmbq8rjrXp5c7V2HKjXoMenmsZu/fZPVfrtn6qUlxmv\nOdPSVTItTYUTU+Rg4+mYEHABfeKJJ1RZWal169appqZG3/ve95Sdna0bbrjhvPP6+vp0//33a/ny\n5Xr88cf13HPP6etf/7refvttOZ3OEfsGMLp8Pp+a2vt0sq5TJ+o6deR0uw6falNLR/8nnh/jtGtG\nfqrmTk/X/OnjlJbE6CQAGMssFotm5KdoRn6Kunrd2lpep/f31qiiulk+n3Ti7M+X9e8dlcNuHTp3\nyvgkTc1NVGw0j1gORwEV0L6+Pr3wwgv65S9/qYKCAhUUFGjVqlV69tlnLyigr732mqKiovTd735X\nkvSDH/xA77//vt58802tWLFi5L4DjIh+96DqW3pV29StuuYe1Tb3qKaxSyfrOtXTP3jR10U77SqY\nkKxZk1M1a0qq8rMTmf8GAPhEcdEO3bhggm5cMEGtnf36YF+t9hxqVEV1s1xuj9yDXu093KS9h5uG\nXpOdFqPJOUkaPy5OuRmx+v/bu/ugqMo9DuDffYFdwCXeFozCLBlBoxSoHErH1LKxxsE/aqYagZl0\nnOkPcaKYEaFWJF+CHcsbIzpGTEkWTS/WjM5YWlMz9kdAq6wDpC7d2zW9sKuACyxnl3PO/YPrdvfi\n1d1a97Cn72dmZzmHc/DL487hd16e57kz3YTb0xI4BWiUC6kA7e3thSiKWLhwoX9dYWEh9u/fP2Xb\nrq4uFBYWBqwrKCiAzWZjARohsixD8Im4OurF8IiAIbeA4REBg24BV4bH4RzywDnkgWvIg6uj3pv+\nPL1Og6wME+bOSkbuXcmYOysZd6abOLwGERGFLCXRiNVL7sHqJffANyGi5+9XYPvZidPnnPjl4rC/\n8+pvztGAmfGAyb9HGSkJSE+Ogzk53v+emmhEksmA22YYYEqI5QWRaSykAtTpdCIpKQl6/e+7paam\nQhAEDA4OIjn59ykSBwYGMHfu3ID9U1NTcf78+T8Z+a/pX5dH0f3LFQg+cfIs0SdC8IkYFybgESYw\n9p93z/gERjxejIz54B7zTRnyKBg6rQYZKfHINM/AXTNNmJ15G+6+PRGZ5hmI0fOMk4iIwitGr8P9\n2Wbcn20GAPgmRPxy8Sp+/scgzv5zEH2/DeOic8RflE6IMn5zjkyZxOS/aTVAYoIBCXExmBEfM/ke\nF4O7ZiaieOkcTnKisJBvwcfGBj6LcW3Z6w28gjY+Pn7dbf93u/9nYGAAoihixYoVoURUJVkGBgbH\nwvoztVoNdP6XdnJZp4Fep4VOq4EbAE8V/rgxjwCNdvof3MQJL2RooNVM7xMLSZawN1YPrXaa55Qk\njHsnpn17TogT0EADnW56f0ajJackS9hnjJ32OdVAFGVMiBImRAmiJEMUZYjS5Neh+NsMAwyx/P8K\nh+KPCHcAAAhTSURBVEuXLv2hz35IBajBYJhSQF5bjouLC2rbYDsgXW//vyqNBshIiVc6BoUgPs6g\ndITgcFDosNLpdIiJiYbJFKLk8xk1OSlSdLrJExIDWDxOF3q9fsoFx6D2C2XjjIwMDA0NQZIk/5UI\nl8sFo9GIxMTEKds6nc6AdS6XC2azOah/q6OjI5RoRERERBQlQrpPNG/ePOj1epw6dcq/rqOjA3l5\neVO2XbBgAWw2W8A6m80W0IGJiIiIiP56QipAjUYjiouLYbFYYLfbcfz4cbS0tKCsrAzA5BVOQRAA\nAE888QTcbjd27NgBh8OB119/HWNjY1i1alX4fwsiIiIiihoaWZZDenJ3fHwctbW1OHbsGEwmE9av\nX4+SkhIAQG5uLnbt2uUfZslut8NisaCvrw85OTmora1Fbm5u+H8LIiIiIooaIRegRERERER/xvQe\nK4SIiIiIVIcFKBERERFFFAtQIiIiIoooFqBEREREFFEsQImIiIgooqKqAN26dat/yCcKjytXrqC8\nvBwPPPAAFi9eDKvVCkmSlI6lKm63G9XV1XjkkUdQVFSEqqoquN1upWOp1rp163D48GGlY0Q9r9eL\nLVu24MEHH8SSJUvQ0tKidCTV8nq9WL16Ndrb25WOoir9/f0oLy/HokWLsHTpUuzatYtTfIfZr7/+\ninXr1iE/Px/Lly9Hc3Nz0PtGTQH6008/oa2tDRqNRukoqvLKK69gdHQUH3/8Mfbs2YMjR47gnXfe\nUTqWqrz22ms4e/YsDhw4gHfffRcOhwOvvvqq0rFUR5Zl1NXV4YcfflA6iiq88cYb6O7uxsGDB2Gx\nWNDY2IivvvpK6Viq4/V6UVFRgfPnzysdRXXKy8shCAIOHTqE3bt349tvv8WePXuUjqUasixjw4YN\nSEtLwxdffIGtW7eiqakJR44cCWr/kOaCV4rP54PFYkF+fr7SUVTF6/UiLS0NGzduRFZWFoDJGaw6\nOzsVTqYeHo8HX3/9NT788EPMnz8fALBlyxasXbsWXq8XsbGxCidUh/7+flRWVuLChQtITExUOk7U\n83g8+OSTT9Dc3Izc3Fzk5uZi/fr1aG1txcqVK5WOpxoOhwMvv/yy0jFUqa+vD11dXTh58iRSUlIA\nTBak9fX1qKysVDidOrhcLsyfPx8WiwXx8fGYNWsWioqK0NnZiaeeeuqm+0fFFdD9+/cjJycHDz/8\nsNJRVCU2Nhb19fX+4vPcuXP45ptvsGjRIoWTqYdWq8W+ffsCZgCTZRmiKGJsbEzBZOrS3d2NzMxM\nfPbZZ0hISFA6TtTr7e2FKIpYuHChf11hYSG6uroUTKU+P/74I4qKitDW1gbOCRNeZrMZBw4c8Bef\nwOSxl48/hY/ZbMbu3bsRHx8PAOjs7ER7e3vQNcS0vwLqcDjw0Ucf4csvv8ShQ4eUjqNaJSUlaG9v\nR15eHp5//nml46iGwWDA4sWLA9a9//77yMnJQVJSkkKp1GfZsmVYtmyZ0jFUw+l0IikpCXr9738i\nUlNTIQgCBgcHkZycrGA69XjuueeUjqBaJpMp4NgryzJaW1t5IesWWb58OS5duoRHH3006Lskiheg\ngiCgv7//ut8zm82wWCzYtGlTwFkMBe9m7RsXFwcAqKmpwdWrV7Ft2za89NJLaGpqimTMqBZsGwNA\na2srjh07FtKD2hRaG9Of5/F4pjwecm2ZnTgoGtXX16O3txeffvqp0lFU6e2334bL5YLFYsH27dtR\nU1Nz030UL0BPnz6N0tLS63YuqqiogCRJeOaZZxRIpg43at/GxkasWLECAJCTkwMA2LlzJ55++mlc\nvHgRmZmZEc0arYJt4w8++ADbt29HdXU1ioqKIh0zqgXbxhQeBoNhSqF5bZnFPkWbhoYGHDx4EG+9\n9RbmzJmjdBxVuvfeewEAVVVVqKysxObNmwPuoFyP4gXoQw89hN7e3ut+r7S0FGfOnPF3PvL5fJAk\nCQUFBTh69ChmzpwZyahR6UbtOzIygqNHj+LJJ5/0r8vOzgYADA4OsgAN0o3a+Jrm5mY0NDRg8+bN\nWLt2bYSSqUcwbUzhk5GRgaGhIUiSBK12squAy+WC0WhkJy+KKnV1dWhra0NDQwMee+wxpeOoyuXL\nl2Gz2QLaNTs7Gz6fDyMjIzd9zEzxAvRGrFYrBEHwL7/33nuw2+2wWq1IT09XMJk6jI+Po6KiAnfc\ncQcWLFgAADhz5gz0ej1mz56tbDgV+fzzz2G1WlFdXc1xbCkqzJs3D3q9HqdOnUJBQQEAoKOjA3l5\neQonIwpeY2Mj2tra8Oabb+Lxxx9XOo7qXLhwARs3bsT3338Ps9kMALDb7UhJSQmqj8O07gWfnp6O\nrKws/yspKQkGgwFZWVn+s3L649LS0rBy5Ups27YNPT096OjoQE1NDUpKStiTOEyGh4dRV1eHNWvW\nYNWqVXC5XP4XB/yn6cpoNKK4uBgWiwV2ux3Hjx9HS0sLysrKlI5GFBSHw4GmpiZs2LAB+fn5Acde\nCo/77rsPeXl5qKqqgsPhwHfffQer1YoXX3wxqP2n9RVQuvV27NiBnTt34oUXXgAArFmzhuPShdHJ\nkyfh8Xhw+PBh/+w8sixDo9HgxIkTfMzhFuBkFeFRVVWF2tpalJWVwWQyYdOmTbyFeQvxcxteJ06c\ngCRJaGpq8neqvXbs7enpUTidOmi1Wuzduxd1dXV49tlnERcXh9LS0qAfM9PIHHyMiIiIiCKI97GJ\niIiIKKJYgBIRERFRRLEAJSIiIqKIYgFKRERERBHFApSIiIiIIooFKBERERFFFAtQIiIiIoooFqBE\nREREFFEsQImIiIgooliAEhEREVFEsQAlIiIiooj6N2F86c/S1j59AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1126f2978>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Residual Mean:  0.2215759754427555  Residual Standard Deviation:  0.7193877747875356\n",
      "90% of the predictions are within  1.183392889525496  of the actual value.\n"
     ]
    },
    {
     "data": {
      "image/png": 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UqROAwgL9fJY7d+4gLCwMT548QZs2bVCvXr0SWZ7fGaMs/fr1w/HjxxEZGalat1tkwIAB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\nQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1133fe630>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Residual Mean:  0.16226045165331604  Residual Standard Deviation:  0.6521232755240336\n",
      "90% of the predictions are within  1.0727427882370353  of the actual value.\n"
     ]
    },
    {
     "data": {
      "image/png": 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IOAWLxcL333/PvHnzAJg+fTqenp4GpxIjqeiKiIhIsbd//35mz57N7t27rWPf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\ndomiCwAAALtE0QUAAIBd+l9SHKrI6Cd4GQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x113b46b38>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Residual Mean:  0.42907129472740224  Residual Standard Deviation:  1.067568245493129\n",
      "90% of the predictions are within  1.7561497638361971  of the actual value.\n"
     ]
    },
    {
     "data": {
      "image/png": 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luHXrFrRarbrrwgMPPGDQvreGBO6qxk6ZMgUvvvgipk6disGDB6OsrAxr1qxBenq6Ok+0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\nAgAAwJAIugAAADAkgi4AAAAM6f8Bxyk0KaVYrv0AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x113f54c50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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FAQWAjzm3/D4pJ0HjUmJMToNPEmG3afHZXw66ewe0s7LB5EQAAkUBBYCzPr78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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x113b46e10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Residual Mean:  0.2215759754427555  Residual Standard Deviation:  0.7193877747875356\n",
      "90% of the predictions are within  1.183392889525496  of the actual value.\n"
     ]
    },
    {
     "data": {
      "image/png": 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UqROAwgL9fJY7d+4gLCwMT548QZs2bVCvXr0SWZ7fGaMs/fr1w/HjxxEZGalat1tkwIAB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\nQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x114323c88>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "{'Linear Model': {'Linalool': {'Sample Standard Deviation': 0.9137118454661237, 'Sample Mean': 0.2840080861602499}, 'Geraniol': {'Sample Standard Deviation': 1.2078091545335878, 'Sample Mean': 0.3061569898840497}, 'Total Terpines': {'Sample Standard Deviation': 0.9320264973026205, 'Sample Mean': 0.2014871730116581}}, 'Kinetic Model': {'Linalool': {'Sample Standard Deviation': 0.6521232755240336, 'Sample Mean': 0.16226045165331604}, 'Geraniol': {'Sample Standard Deviation': 1.067568245493129, 'Sample Mean': 0.42907129472740224}, 'Total Terpines': {'Sample Standard Deviation': 0.7193877747875356, 'Sample Mean': 0.2215759754427555}}, 'Gaussian Regressor Model': {'Linalool': {'Sample Standard Deviation': 0.7327355700131791, 'Sample Mean': -0.01065437229773214}, 'Geraniol': {'Sample Standard Deviation': 1.3216945583701518, 'Sample Mean': 0.07599621108895731}, 'Total Terpines': {'Sample Standard Deviation': 0.923658781215894, 'Sample Mean': -0.10497009337441125}}}\n"
     ]
    }
   ],
   "source": [
    "#Cross Validate Kinetic Model Fit Using Leave one Out Methodology + Goodness of Fit Method\n",
    "\n",
    "#Set Bounds for Kinetic Model Parameter Optimization\n",
    "#Optimize Cost Function with respect to the parameter space\n",
    "K_cat = [0.25, 0.012, 0.63, 0.021, 0.24, 0.8,12926]\n",
    "K_m = [ val*10**-6 for val in [0.17,0.49,0.43,25.56,25,21,2.4]]\n",
    "\n",
    "bounds = [(0,100000),(0,1),(0,100),(0,100),(0,100),(0,100),(0,10000),(0,10000),(0,10000),(0,10000)]\n",
    "for K in K_cat + K_m:\n",
    "    bounds.append((K/5,K*5))\n",
    "\n",
    "#Append Time Variation\n",
    "bounds.append((3600*24*4.8,3600*24*5.2))\n",
    "\n",
    "def leave_one_out_kinetic_model(i,data,bounds):\n",
    "    #Leave out data point i for testing\n",
    "    data_t = data[i].tolist()\n",
    "    print(data_t)\n",
    "    del data.tolist()[i]\n",
    "    \n",
    "    #Fit Model with training data\n",
    "    cost_given_data = lambda parameters: cost(parameters,data,model_fcn=model_1)\n",
    "    result = differential_evolution(cost_given_data,bounds,disp=True,maxiter=1000)\n",
    "    \n",
    "    #Evaluate Test Point\n",
    "    prediction= model_1(result.x,data_t)\n",
    "    prediction = [prediction[0][0],prediction[1][0]]\n",
    "    actual = data_t\n",
    "    \n",
    "    #Return Predicted vs. Actual Test Point\n",
    "    return prediction,actual[0:2]\n",
    "    \n",
    "if run_kinetic_model:\n",
    "    \n",
    "    #Use Stored Info if this particular configuration has been run before...\n",
    "    pickle_file = condition_string + 'kinetic.pickle'\n",
    "    print(pickle_file)\n",
    "    \n",
    "    if os.path.isfile(pickle_file):\n",
    "        #Unpickle Kinetic Model Data + Complete Fit Kinetic Model\n",
    "        with open(pickle_file, \"rb\") as f:\n",
    "            kinetic_model,r = pickle.load(f)\n",
    "        print('Data Unpickled!')\n",
    "        \n",
    "    else:\n",
    "        #Run Cross Validation in Paralel with all CPUs but one\n",
    "        r = Parallel(n_jobs=-2)(delayed(leave_one_out_kinetic_model)(i,test_data,bounds) for i in range(len(test_data)))\n",
    "        \n",
    "        #Create Kinetic Model With All Data\n",
    "        cost_given_data = lambda parameters: cost(parameters,test_data,model_fcn=model_1)\n",
    "        kinetic_model = differential_evolution(cost_given_data,bounds,disp=True,maxiter=1000)\n",
    "        \n",
    "        #Pickle Leave One Out Cross Validation Data (r) + kinetic_model\n",
    "        with open(pickle_file, \"wb\") as f:\n",
    "            pickle.dump([kinetic_model,r],f)\n",
    "\n",
    "    #Compute Goodness of fit of Model + Plot Model Cross Validation\n",
    "    plot_model_accuracy(r,log=log_log_plot)\n",
    "    \n",
    "    mu_vec,sigma_vec = plot_model_accuracy(r,log=log_log_plot)\n",
    "    report['Kinetic Model'] = {'Linalool':{'Sample Mean':mu_vec[0]}}\n",
    "    report['Kinetic Model']['Linalool']['Sample Standard Deviation'] = sigma_vec[0]\n",
    "    report['Kinetic Model']['Geraniol'] = {'Sample Mean':mu_vec[1]}\n",
    "    report['Kinetic Model']['Geraniol']['Sample Standard Deviation'] = sigma_vec[1]\n",
    "    report['Kinetic Model']['Total Terpines'] = {'Sample Mean':mu_vec[2]}\n",
    "    report['Kinetic Model']['Total Terpines']['Sample Standard Deviation'] = sigma_vec[2]\n",
    "    print(report)\n",
    "\n",
    "#Create Object Oriented Kinetic Model\n",
    "class kinetic_model_class:\n",
    "    def __init__(self,output):\n",
    "        self.output = output\n",
    "    \n",
    "    def predict(self,X):\n",
    "        #Inputs to model_1 (X):linalool, geraniol, FPPS, LIS, GerS, tHMG1\n",
    "        #proteins = ['tHMG1','FPPS','LIS','GerS']\n",
    "\n",
    "        X = [0,0,X[1],X[2],X[3],X[0]]\n",
    "        prediction = model_1(kinetic_model.x,X)\n",
    "        if self.output == 'linalool':\n",
    "            prediction = prediction[0]\n",
    "        elif self.output == 'geraniol':\n",
    "            prediction = prediction[1]\n",
    "        return prediction"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Model Summary Plots\n",
    "Here we compare all models and their cross validated predictions. Each point is the model prediction vs. the actual ammount for each terpine.  The test point is excluded from the training set in a leave one out fashion.  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {
    "collapsed": false,
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/usr/local/lib/python3.5/site-packages/matplotlib/axes/_axes.py:531: UserWarning: No labelled objects found. Use label='...' kwarg on individual plots.\n",
      "  warnings.warn(\"No labelled objects found. \"\n"
     ]
    },
    {
     "data": {
      "image/png": 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w9ttvW6Q2KysrqlSpUmjtW1tbmwTYKlWqMGbMGLZs2cKWLVvuOmQ6OTkxbNgw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\nAIajZAIAAMBw/x8dKb4EMLIBcAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x113b58be0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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BBx9Qp04dGjVqxNKlS619CBERERF5ylm9J3PKlCn8+OOPrFy5kgsXLhASEkK5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\nBzknUBQRVXIQAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x112eba240>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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hxWZ37tzh999/p1WrVjg7O1OtWjXlV82aNWnSpAm7d+8mLi6OcuXKYWJikqqP1q9fT79+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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11463b470>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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BGDFiBFu2bCEyMpKYmBhSU1MZMGCAVR379+9nxYoV9OzZ857PSW7QPaYiIiKS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\nEKLoCpWYuri43JCAXnnt6up63fsvvfQSGzdu5P777yc0NJSXXnqJ9u3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Q+ccfw0l1vR9f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\nRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x114ae4630>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#Plot Cross Validations on Same Scatter Plot\n",
    "green_patch = mpatches.Patch(color='g', label='Gaussian Regressor')\n",
    "blue_patch = mpatches.Patch(color='b', label='Linear Regressor')\n",
    "red_patch = mpatches.Patch(color='r', label='Kinetic Model')\n",
    "\n",
    "#Dataframes for CSV Printouts\n",
    "Linalool_df = pd.DataFrame()\n",
    "Geraniol_df = pd.DataFrame()\n",
    "Total_df = pd.DataFrame()\n",
    "\n",
    "if run_kinetic_model:\n",
    "    models = [(gaussian_regressor_predictions,'g'),(linear_regressor_predictions,'b'),(r,'r')]\n",
    "    patches= [blue_patch,green_patch,red_patch]\n",
    "else:\n",
    "    models = [(gaussian_regressor_predictions,'g'),(linear_regressor_predictions,'b')]\n",
    "    patches= [blue_patch,green_patch]\n",
    "\n",
    "#Plot Individual Terpine Maps\n",
    "\n",
    "for i,metabolite in enumerate(['Linalool','Geraniol']):\n",
    "    x_min = 0\n",
    "    x_max = 0\n",
    "    y_min = 0\n",
    "    y_max = 0\n",
    "    fig = plt.figure()\n",
    "    \n",
    "    for model,color in models:\n",
    "        \n",
    "        if log_log_plot:\n",
    "            predicted = [math.log(max(point[0][i],noise_floor)) for point in model]\n",
    "            actual = [math.log(max(point[1][i],noise_floor)) for point in model] \n",
    "        else:\n",
    "            predicted = [point[0][i] for point in model]\n",
    "            actual = [point[1][i] for point in model] \n",
    "        \n",
    "        if color=='g':\n",
    "            model_name = 'GaussianRegressor'\n",
    "        elif color=='b':\n",
    "            model_name = 'LinearRegressor'\n",
    "        elif color=='r':\n",
    "            model_name = 'KineticModel'\n",
    "        \n",
    "        if metabolite == 'Linalool':\n",
    "            Linalool_df[model_name+'Predicted'] = predicted\n",
    "            Linalool_df[model_name+'Actual'] = actual\n",
    "        elif metabolite == 'Geraniol':\n",
    "            Geraniol_df[model_name+'Predicted'] = predicted\n",
    "            Geraniol_df[model_name+'Actual'] = actual\n",
    "        \n",
    "        x_min = min(predicted + [x_min,]) \n",
    "        x_max = max(predicted + [x_max,])\n",
    "        y_min = min(actual + [y_min,])\n",
    "        y_max = max(actual + [y_max,])\n",
    "        \n",
    "        plt.scatter(predicted,actual,color=color)\n",
    "        plt.title(metabolite + ' Predicted vs. Actual')\n",
    "        \n",
    "    padding_x = (x_max - x_min)*0.1\n",
    "    padding_y = (y_max - y_min)*0.1\n",
    "    \n",
    "    ax = plt.gca()\n",
    "    ax.plot([-120,120], [-120,120], ls=\"--\", c=\".3\")\n",
    "    \n",
    "    plt.ylim(y_min-padding_y,y_max+padding_y)\n",
    "    plt.xlim(x_min-padding_x,x_max+padding_x)\n",
    "    \n",
    "    plt.legend(handles=patches)\n",
    "    ax.legend()\n",
    "    \n",
    "    plt.savefig(condition_string + metabolite + 'AllModelsPrediction.pdf',format='pdf')\n",
    "    plt.show()\n",
    "\n",
    "#Plot Total Terpine Content Fits\n",
    "x_min = 0\n",
    "x_max = 0\n",
    "y_min = 0\n",
    "y_max = 0\n",
    "fig = plt.figure()\n",
    "for model,color in models:\n",
    "    if log_log_plot:\n",
    "        predicted = [math.log(max(point[0][0] + point[0][1],noise_floor)) for point in model]\n",
    "        actual = [math.log(max(point[1][0] + point[1][1],noise_floor)) for point in model] \n",
    "    else:\n",
    "        predicted = [point[0][0] + point[0][1] for point in model]\n",
    "        actual = [point[1][0] + point[1][1] for point in model] \n",
    "\n",
    "        \n",
    "    if color=='g':\n",
    "        model_name = 'GaussianRegressor'\n",
    "    elif color=='b':\n",
    "        model_name = 'LinearRegressor'\n",
    "    elif color=='r':\n",
    "        model_name = 'KineticModel'\n",
    "        \n",
    "    Total_df[model_name+'Predicted'] = predicted\n",
    "    Total_df[model_name+'Actual'] = actual\n",
    "    \n",
    "    x_min = min(predicted + [x_min,]) \n",
    "    x_max = max(predicted + [x_max,])\n",
    "    y_min = min(actual + [y_min,])\n",
    "    y_max = max(actual + [y_max,])\n",
    "\n",
    "    plt.scatter(predicted,actual,color=color)\n",
    "    plt.title('Total Terpines' + ' Predicted vs. Actual')\n",
    "\n",
    "padding_x = (x_max - x_min)*0.1\n",
    "padding_y = (y_max - y_min)*0.1\n",
    "\n",
    "ax = plt.gca()\n",
    "ax.plot([-120,120], [-120,120], ls=\"--\", c=\".3\")\n",
    "\n",
    "plt.ylim(y_min-padding_y,y_max+padding_y)\n",
    "plt.xlim(x_min-padding_x,x_max+padding_x)\n",
    "\n",
    "plt.legend(handles=patches)\n",
    "ax.legend()\n",
    "plt.savefig(condition_string + 'TotalTerpines' + 'AllModelsPrediction.pdf',format='pdf')\n",
    "plt.show()\n",
    "\n",
    "#Save out Dataframe Data as CSV for Post Processing\n",
    "Linalool_df.to_csv(condition_string+'LinaloolDataFrame.csv')\n",
    "Geraniol_df.to_csv(condition_string+'GeraniolDataFrame.csv')\n",
    "Total_df.to_csv(condition_string+'TotalTerpinesDataFrame.csv')\n",
    "\n",
    "#Create Composite Plot of Error Residuals\n",
    "r #Kinetic Model Predictions\n",
    "linear_regressor_predictions #Linear Model Predictions\n",
    "gaussian_regressor_predictions #Gaussian Model Predictions\n",
    "for model_predictions,color in zip((r,linear_regressor_predictions,gaussian_regressor_predictions),('r','b','g')):\n",
    "    predicted_value =  [max(point[0][0] + point[0][1],noise_floor) for point in model_predictions]\n",
    "    actual_value = [max(point[1][0] + point[1][1],noise_floor) for point in model_predictions]\n",
    "\n",
    "    value_hist = [math.log(actual) - math.log(predicted) for predicted,actual in zip(predicted_value,actual_value)]\n",
    "    binwidth=0.25\n",
    "    sns.distplot(conv_log_10(value_hist),color=color,bins=np.arange(-1.5, 2.0 + binwidth, binwidth),norm_hist=False,kde=True)\n",
    "\n",
    "ax = plt.gca()\n",
    "plt.legend(handles=patches)\n",
    "ax.legend()\n",
    "plt.title('Model Error Residuals')\n",
    "plt.xlabel('Log 10 Error Between Predictions and Actual Total Terpenes')\n",
    "plt.savefig(condition_string + 'AllModelsErrorResiduals.pdf',format='pdf')\n",
    "plt.show()\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Engineering Considerations: How Many Strains Required to Hit a Target Terpine Profile?\n",
    "\n",
    "Two analyses were run which helped elucidate the engineering value of the models. One analysis was used to show that the second cycle of model based predictions were expected to do better than choosing strain designs at random. The second analysis was created to compare the model performance for the purpose of strain engineering. These analyses are based on the same concept.  They both use the models fit with the first cycle of data to predict the phenotype of the second set of designs from genotype. This approach is described below verbally with supporting mathematics.  Additionally, the analysis is implemented in the attached Jupyter Notebook with complete details.\n",
    "\n",
    "### Simulating Phenotype from Genotype using Models\n",
    "\n",
    "Each model developed in the previous section is used to evaluate strain designs created in the second round to target a set of four Sierra Nevada beer terpene targets. These beers have varying levels of both linalool and geraniol. To do this a set of genetic designs were generated which were expected from the models to be in the neighborhood of the beers of interest. For Each gene in the heterologous pathway, one of 19 varying strength promoters were selected. The objective was to simulate the linalool and geraniol production given the data from the first round of strains.\n",
    "\n",
    "First a set of univariate linear models were created which related promoter rank (1-19) to protein concentration for each gene in the synthetic pathway. The error residuals of the model were used to inject noise into the proteomics predictions.  This was computed as below:\n",
    "\n",
    "$\\Omega \\sim \\mathcal{N}(\\mu_{i},\\sigma_{i})$\n",
    "\n",
    "$\\omega \\in \\Omega$\n",
    "\n",
    "$[protein]_i = f_i(p_{rank}) + \\omega $\n",
    "\n",
    "where the function $f_i$ is the model which maps protein rank to protein concentration for protein $i$, and $\\omega$ is a value pulled at random from the error distribution $\\Omega$ of model $i$. Once the protein concentrations are computed from the promter rank for each gene, the proteins must be used to compute linalool and geraniol production.  Each of the three models are used to take the predicted proteomics data and map it on to a predicted terpene concentrations.  The models under evaluation are the gaussian, linear, and kinetic models developed in previous sections and trained with data from the first round of experiments. Again, noise is injected based on the computed error residual distribution from the model. The net result is to produce an expected terpine concentration from genotype given the eperiments performed in the first round. \n",
    "\n",
    "$\\Xi \\sim \\mathcal{N}_2(\\mu_{i},\\Sigma_{i})$\n",
    "\n",
    "$\\xi \\in \\Xi$\n",
    "\n",
    "$\\begin{bmatrix}\\mathcal{L}\\\\ \\mathcal{G}\\end{bmatrix} = g_i([HMGR],[FPPS],[LIS],[GerS]) + \\xi$\n",
    "\n",
    "where $\\mathcal{L}$ and $\\mathcal{G}$ are linalool and geraniol concentrations respectively. $g_i$ is the mapping of model $i$ from pathway protein concentrations to terpene concentrations. $\\xi$ is a random error residual drawn from the bivariate normal error residual distribution of model $i$. Using this set of equations a single realization of phenotype predicted from genotype can be created. We use this system to determine how much improvment over random our strain selection for the second round performed. Additionally, we analyze the number of strains required for each model to have a $90\\%$ chance to hit its target. \n",
    "\n",
    "To determine how much better than random the set of strains performed in the second round were, we created a pool of 25000 random genotypes using promoter ranks uniformly drawn between values 1 and 19. Then we drew at random one of the 30 genotypes selected for cycle 2 to simulate 25000 times. For both the random and cycle 2 genotype pools the distance to the beer terpine target was calculated. We used the best performing model, the kinetic model to do the prediction of strain phenotype. The percentage of strains in each pool where the euclidian distance was less than 50% from the target was determined.  This percentage represents the likelyhood of a strain in each pool will be meet the terpine target specification.  The improvement of each model over random was calculated and is presented in Supplemental figure 12.\n",
    "\n",
    "To compare between models, the number of strains needed to have a 90% chance of producing the terpine content of tropical IPA. To do this each model was used to compute 25000 strain genotypes based on the strains for cycle 2. From each of these strain genotypes, the above equations were used to calculate a prediction of phenotype.  Then the percentage of strains whose euclidian distance was less than 50% from the terpene content of tropical IPA was determined. This percentage was used to calculate the number of strains each model requires to have a 90% chance of hitting the target terpene content. For the exact details of the strain number calculation see supplemental file ??."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {
    "collapsed": false,
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
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TtY/vZt3KZ8q1R1oy/06u7j999XaBXJ/zM2fO8Prrr+fpMyi/ypcvn+V65mdWXFwc5cqV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\nmjSJ9PT0G/7SEIWr4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KF9+/asW7eODRs2MHfuXED7dmLnzp3s378fm83Ghg0bPAttZGZm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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x112ec0978>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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4BQlchRBCCCGEV5DAVQghhBBCeAUJXIUQQgghhFeQwFUIIYQQQngFCVyFEEII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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x112719f28>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Probabilities of Success, Random, Cycle2: 0.017433026789284288 0.04914034386245502\n"
     ]
    },
    {
     "data": {
      "image/png": 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S6iiUCiTkPcDtrHuIzo7HvZyEersq2BpZoauFK9wtXOBu4QInUwcaNYEQQkgt\nFHoJIa1ChjQbNzPu4mZGDG5n3UNpHWdyOeDA2dQRnlZd4GXdFRJLNxjri3VQLSGEkLaGQi8hRCdK\nZWW4mRmNmxnRuJkZjayS3FrLcDlcuJk5wdPaHV5W7vCwdIOh0EAH1RJCCGnrKPQSQlpMRnEWrqTd\nwpW0W4jOjoOCKWst4yC2hY+tBL42nvC27goRjaZACCGkCVDoJYQ0G7lSgdicBFxOu4WrabeQVpxZ\naxljPSP42KhCro+tBJYG5jqolBBCSHtHoZcQ0qTkCjluZcXg/MOriEq9gRJZaa1lXMw6oYe9L3rY\n+8DFrBO4HK4OKiWEENKRUOglhDyzSkUlbmbG4MLDq7iceqPWcGJCngA+NhL0sPdBdzsfmBuY6qhS\nQgghHRWFXkLIU5ErFbiZcRdnky/jctpNlFWWazxvKDRATwc/9HIMgI+1B4R8oY4qJYQQQij0EkK0\nwBhDYn4yTt+/iLPJUSiqkGo8LxYaoqejP/p06g5vaw8aL5cQQto5xhiKSyuRmVeCzLxSZOWVIiOv\nFGUVcrw4wA1dOrWeb/Yo9BJCGpRTkoczDy7h9P2LSC3O0HjOWM8IQY4B6NOpO7ys3MGjoEsIIe1K\neYUc6bmqUFsdbDNr/JRVyOtcT6Fg+Dg0sIWrrR+FXkJInWSKSlx4eBUnk87hblYcGJj6OQFPgJ72\nvnjOuTd8bT3pjC4hhLRhjDEUlciQnluCjJwSpOeWIiO3BOk5JUjPLUFBcd0zYtaFy+XAylQEBysj\njB3o1oxVa49CLyFEQ1pRBo4nROK/+xcglZVoPOdl5Y7nnHuht2N3GAhFOqqQEEKIthRKhtyCMlWw\nrRFoM3JKkZ5bUu/Z2sdxOIC5sT5szA2qfgxhYy6qujWAhYk+eLzWOSKP1qG3tLQUP/74I65evYrK\nykowxjSe37lzZ5MVRwhpGZWKSlxKvY4TCZG4kxWr8ZyNkRWCXfqgf+cgWBta6KhCQgghDVEqGbIL\nypCaLUVathSp2VKk56hCbmZeGeSK2hMC1UUo4MHWwgB2FoawszSErYUh7CwMYWthACszEQT8tvnt\nntahd+nSpYiIiEDfvn1hZWXVHDURQlpITkke/o7/DyeTzmlclMbjcNHTwR/PdxkAb+uuNI4uIYS0\nIkUlMqRlS5GSJUVaTtVtthRpOSWolDcu2IoNBI8F2uqAawBzY31wOJxm3ouWp3XoPXnyJNauXYvg\n4ODmqIcIIKSEAAAgAElEQVQQ0gLic+/jz3sncCHlGpQ1pgK2MrTAENf+CHbpA1ORiQ4rJISQjq2i\nUoH0nBKkZkuRmiXVOHtbXFrZqG1YmOjD3tJIdda2ZsC1NISRSNDMe9D6aB16uVwu3NxaV8dkQkjD\nlEolLqfdxJ/3TiAmJ0HdzuFw0MPeF0PdBsDX1pPO6hJCSAsqlFbgYWYxHmYWIzmzWH3WNrugDI/1\nIK2ToT4fDtZGcLBS/dhbGcHR2gh2FobQ16NLt2rS+t0YOnQoDh48iHnz5jVHPYSQJlZeWY6TSedx\nNPZfZJbkqNv1+XoY7NIXI7oGw8aIuioRQkhzYYwhv7gCDzNUwfZRwC1GoVTW4Pp8Hhd2loZwsDKs\nFW6NDYXtsitCc9A69Jqbm+OHH37A6dOn4eLiAqFQc5allStXNllxhJCnVyIrxV9xp3AkNgIlslJ1\nu4XIDCO6DkKIa38YCg10WCEhhLQvjKkuJFOfuc1Q3T7MkqKkrOEuCRYm+nCsPmtb4+ytlZkBeFwK\nts9K69B7/fp1+Pn5AQCysrKavCBCyLORykpwNPZfHI09idLKMnW7q5kTRnsMQe9O3WlcXUIIeQaM\nMeQWluN+ehHupxepz9ymZhWjrELR4PrWZiJ0shGjk40YTjZidLIVo5O1GIYdsJ9tS9I69O7atas5\n6iCEPKPiCimOxEbgr9hTKJOXq9t9bDwwzmskvKzc6SswQgjRUml5JR6kF+N+RhEeVIXc++lFDZ65\n5XAAWwtDVaitEXAdrI0gor62OvFU73pJSQl+//13xMbGgs/nw93dHSNHjoSRkVFT10cIaUBRhRR/\n3juBY3GnUC5/NGuOn60XxnuNhMSKLjwlhJCGKBRKpGZL8SC9GEnpheqgm5VX+sT1uFwOHKwM4Wgt\nVgdcJ1sx7K2MoCegb9VaE61Db1paGt544w3k5ubCxcUFSqUS4eHh2Lx5M/bu3QtbW9vmqJMQ8pgK\nuQxHYiPwW/Q/Gmd2A+y6YbzXCHS1dNVhdYQQ0nqVlFUiMa0QSamFSEgtxP20IiRnFjc4eYO5sT6c\n7Y3hbGuMznbGcLE3hqO1UZudrKGj0Tr0rlq1Cra2tggPD4elpSUAICcnB/PmzcPXX3+NNWvWNHmR\nhJBHFEoF/rt/AQdu/4H8skJ1ew97H0zwHgU38846rI4QQloPxhjyisqRkPoo4CamFiKzgbO3Ij0e\nnGyN4Wyn+ulcdSs2ED5xPdK6aR16z507hx9++EEdeAHA0tISH3/8Md5+++0mLa45VFRU4OLFi/U+\n36VLF1hY1D/Vam5uLuLj45/4Gr169Xri83FxccjLy6v3eXNzc7i7uz9xG0/aB4D2o6b2sh9BQUG4\nmn4be24cQkpRurrd27orJvm+BJZXiZy4DOQgo871W8t+tJfjQfuhQvvxCO3HI7rYD4WSIaegFKlZ\nJUjLkaIUpsgsQr1DgsnKilBSkAErU33YWRnBvmpGMjtLQ5iJ9cHlctCrl3+L78fj2urxeJw2+1FR\nUQE9Pb0nbu+pMC0FBQWx2NjYWu0xMTHM399f2821qMGDBzNnZ2cGoN6f8PDwJ24jPDz8ies35i2d\nMGHCE9efMGFCg9toqAbaj/a3H8si1rCX97+r/vng6KfsSuotplQq29R+NIT2g/aD9oP2o6H9kCuU\nDdbQffQCNvqDw+qfsQt+Z3PXnmTf7r/K/jiTwNaGfa/z/WCsfRyPpt4PZ2dnNnjw4AZfU1tan+nt\n3r07Nm3ahP/7v/+DQKAaWqOyshKbN29G9+7dtd0cIaSR7mbHAQDMRCaY2G0MBjn3BpdLs6cRQto3\npZIhI7cEcQ8LEJ9SgLiHBUhIKWhwPScbMUYOcIWrgwlcHUzgaC2GgP/o78yf0680Z9mkFeJUpfNG\nS0hIwKuvvgpDQ0N069YNHA4HN2/eRElJCXbv3g2JRNJctT6zkJAQVFRUPLHfcUf8GqE+tB8qutgP\nhVKBCynXcCLhDCrkqq/mHD0740XPoRjVNQR6/Nr9ylrjftSlLR6PutB+qNB+PEL78cjT7gdjDPlF\nFSgs56Gca6YOuCXl8lrL5qfHAgCMRHx0sjF+NFuZtRHMjfXh7u5Ox6NKW9uPDz/8EHp6eoiIiHji\nNrWldegFgNTUVOzduxdxcXFgjMHDwwOvvfYaHBwcmrS4phYSEgIATf4mEtKU7uUkYPuV/XhQkAIA\n4ICDENd+eNVnDIz1xTqujhBCmk5RiQyxyfm49yAfscn5iHtYgOLS+qflNRIJ0KWTKdyrfro4msHS\nVJ/GIG9nmiuvPdU4vQ4ODliwYEGTFkJIR1dYXoQ9Nw/jVNJ5dZuLWSe83eN1dLFw1l1hhBDSBOQK\nJe6nF+Heg3zce5CHew/ykZZTUu/yBvp8dHE0Vf1UhVwbcwMKuOSpNSr0Tp48GWFhYTA2NkZoaOgT\nP3A7d+5ssuII6QiUSiVOJJ7Bvpu/oaRq2mBDgQiv+b6IIa4DqN8uIaRNyi0sqwq4+bhXdRZXVln3\nFL1CPhdujqZwdzKFu6Mp3J3MYGdhCC6XAi5pOo0KvQ4ODup/eB0cHOi3LEKaSHpxFjZd2ol7OQnq\ntkHOfTDJbyxM9I11WBkhhDRepVyB+IeFuJech5iqoJtTUFbv8naWhvDobAaJkxk8OpvD2d4YfB79\ngk+aV6NC78qVK9X358yZA1tb21pnn+RyOe7evdu01RHSTimZEn/FnsS+W79BplDN397ZxAHTe7xG\n0wYTQlo9aakMMQ/ycTcpF3eT8hCbnI9Ked2zmYn0+PBwMoNHZ9VPVyczmBg1wxishDRA6z69ISEh\nOHv2LMzNzTXaU1JSEBoaihs3bjRZcYS0RxlVZ3djqs7u8rg8TPAaiRc9h4HPpaksCSGtT1Z+Ke4m\n5eFuUi6ik/LwIKMIdV0Gz+Gohgrz6GyuDrmO1mLwqJsCaQUaFXr37NmDH374AYBqOJHx48fXOtNb\nVFQEe3v7pq+QkHZCyZQ4FncKe28eVp/ddTHthPd7TUZnU0cdV0cIISoKJUNyRpE65N5Nyqu3q4Ke\nkAcPJzN4uVjAy0UVdA30BS1cMSGN06jQO27cOOTn54Mxho0bN2L48OEwNDTUWMbQ0BBDhw5tliIJ\naevqOrs73mskxtLZXUKIjskVSsSnFOBWfA7uJOYi5n5enePiAoCpkR48XczVIdfVwYT64pI2o1Gh\nVyQSYdasWQAADoeD6dOnQyQSNWthhLQHjDFEJJ7FT9d+RoVCNfYknd0lhOiSQqFEQmohbsbn4FZC\nDqKTclFWUfeoCg5WhuqA6+ViATtLQ7qYnbRZWvfpnTVrFuRyOTIzM6FQqP6QMMYgk8lw69YtjBkz\npsmLJKQtklaUYMvlPbiYcg0And0lhOiGQqFEYlohbsXn4FZCLu4k5qKsovaZXC4HcHU0RTdXVcj1\ndLaAqZguOCPth9ahNzIyEgsXLqxzujp9fX0KvYQAuJsVhw0XdiC3LB8AYC+2wdw+0+Fi1knHlRFC\n2juFkiEptRC3EnJwMz4Hd5NyUVpHd4XqkOvjZgnfLpbwcjGn/rikXdM69K5duxZeXl4IDQ3F3Llz\nsXr1aqSlpWH9+vUaQ5sR0hEpmRKHo//Ggdt/oHqG7xDX/pgSMAH6fDpjQghpeowxpGRJcT02Gzfi\nsnE7IafOPrkcDuDqYAIfN0v4dLGEl4sFjEQUcknHoXXojY+Px5dffgmJRAJPT08YGBggNDQUBgYG\n+P777zFkyJDmqJOQVq+oQoqwCztwPUM1XrWhQIR3er6B3p2667gyQkh7UyitwPXY7KqfLOQUltda\nhsMBXOyrQq6bBbzdLCnkkg5N69DL4/EgFosBAJ07d0ZsbCz69OmD3r1746uvvmryAglpC+7lJGDd\nue/V3RnczDtjft+3YW1ooePKCCHtgaxSgbtJubh2TxV0E9MK61yus60Yfu5W8OliCW9XC4gNhC1c\nKSGtl9ah193dHf/++y9CQ0Ph6uqKK1euYMqUKcjIyGiO+ghp1Rhj+Cf+NH68Fg4FU81GNNx9EEL9\nxkHAozMqhJCno1Qy3E8vwvXYLFyLzcbdxFzI6pjxzEysB7+uVgjoag3/rlYwN9bXQbWEtA1ah94Z\nM2Zgzpw5EAgEGD16NDZs2IAZM2bg3r176N27d3PUSEirJFNUYvuVfTiVdB4AoM/Xw3tBoejTqYeO\nKyOEtEX5xeW4GpOFq/eycCMuG4VSWa1lhAIeurlZIKCrFfy7WqOzrZiGECOkkbQOvUOGDMHPP/8M\nHo8HOzs7bN++HTt27EBISAjmzJnTHDUS0urklOZhTeRWJOQ/AKAaneGj/u/A0dhOx5URQtoKhZIh\n7mE+Lkdn4kp0JuJTandZ4HAANwcTBHiozuR6OptDwKchDwl5GlqHXkA1+5pUKgUABAUFITo6GgMH\nDoSpqWmTFkdIaxSbk4ivz25BYXkRACDQ3hezek2FgZAmbCGEPFmhtAJX72XhSrTqjG5xae2zuVZm\nInV3BT93KxgbUr9cQpqC1qH33LlzeO+99zB16lR069YNAHD06FGsW7cO27ZtQ2BgYJMXSUhrEfng\nEr67tAuVStVwQC97j8J475HgcmgaTkJIbUolQ3xKAa5EZ+JyTCbiHhagajRDNT6PAy8XCwR62qCH\nxBqdbKjLAiHN4anG6Z06dSrmz5+vbjtw4ADWrl2L1atXY//+/U1aICGtgZIpEX77Txy8+xcAQI8n\nxKzeU9HLMUDHlRFCWptymRw3YrNx8U4GoqIzUVBcUWsZSxN99PC0QQ+JDfzcLWlSCEJawFON0/vN\nN9/Uan/55Zexa9euJimKkNZEpqjExos/4fzDKwAAc5EpPu7/HlzNnXRcGSGktcgtLEPU3UxcupuB\nG7HZtUZa4HFVZ3N7SKwR6GkDJ7oAjZAWp3XoNTc3R0xMDDp10pxONS4uTj1+LyHthbSiBF+f3Yzo\n7HgAqvF3P+7/HsxEJjqujBCiS4wxJKUV4dLdDFy8k4H4hwW1lhEbCBHoaY1e3nbw72oFQ5oYghCd\n0jr0jh07FsuXL0dBQQH8/PwAALdu3cK6deswduzYJi+QEF3JKsnFyv/CkFqsGoO6p4Mf5vSeBj0+\nXVRCSEckVyhxJyEX52+n4+KdDOQUlNVaxsHKCL28bRHkbQtJZzPweNTfn5DWQuvQ+/777yMvLw+f\nffYZ5HI5GGPg8/kIDQ2lIctIu5GU/xArT4ehoGqEhuFdBmFqwMvgcukfMEI6kopKBa7fy8L52+m4\ndCcDxaWVGs9zuRx4uZirgq6XLeytjHRUKSGkIVqHXj6fj+XLl2PBggVISkoCn8+Hs7Mz9PVpFhjS\nPtzNisNXkZtQVqmay/4Nv3F4wWMI9b8jpIMoLa9E1N1MnL+VjisxmSiXKTSeF+nx0ENig17etujh\naUNT/RLSRjQq9KalpcHOzg4cDgdpaWnqdnNzcwBAXl6eus3e3r6JSySk5VxOvYlvzm9HpaISPA4X\nM3tNRf/OPXVdFiGkmRUUV+DinQycv5WGG3E5kCs0L0QzNhSil7ct+vjYwc/dCkIBTRBBSFvTqNA7\nePBgnD17FhYWFhg8eHCdZ7wYY+BwOIiOjm7yIglpCafvX8SmSzuhZEoIeQJ81O8d+Nt567osQkgz\nKSiuwPlbaYi8kYbbCTlQPjZ+rqWJPnr72KGvjz28XMypfy4hbVyjQu/atWthYqK6Wn3nzp3NWhAh\nuvBP/H/YfkU1xrShQIRFz82Eh6WbjqsihDS1QmkFzt9KR+SNVNyKrx10HawM0cfHHn187ODeyZS6\nNRHSjjQq9C5btgz+/v6wt7fHoUOH8Mknn8DIiDrrk/bhyL0I/HT9FwCAqb4xPhk4G51NHXVcFSGk\nqRSVyHDhdjrOXE/FzfgcKB9Lup1txejn54B+vnY0Gxoh7VijQq9CocDZs2fRt29fHD58GG+88QbM\nzMzqXJb69JK25Lfof7Dn5iEAgIXIDEuD58FObK3jqgghz0paWhV0b6ThRmw2FI8F3U42Rhjg54B+\nfvZwsjXWUZWEkJbUqND74osvYsmSJerffidMmFBrGerTS9qaX+4cRfjtPwAAVoYWWDZoHqyNLHVc\nFSHkaZXL5Ii6m4n/rqbgSkwm5ArNoOtgZYQB/g7o72+PzhR0CelwGt29YeLEiSgqKsLkyZOxYcMG\ndR9fQtqimoHXxsgKywbNg6WhuY6rIoRoS6FQ4kZ8Dv67moLzt9JQVqE5vJi9pWFV0HVAZ5r6l5AO\nrdHj9EokEgDAypUrMXDgQAiFNC4haZsOR/+tDrx2YmssGzQf5gamOq6KENJYjDHEPSzAqaspOHM9\nFQXFFRrPW5roY2B3Rwzwd4CrgwkFXUIIgEaG3rCwMEyfPh0ikQipqanYunVrvcvOmjWryYojpKn9\nee8E9t48DACwNbLCsuD5MBdR4CWkLUjNluLUlRT8dy0F6TklGs8ZiQTo52ePgd0d4e1iAS6Xgi4h\nRFOjQu/BgwcxadIkiEQiHDx4sN7lOBzOU4VemUyG5cuX4/jx49DX18e0adPw5ptv1rns8ePHsW7d\nOqSlpcHLywuffPIJvLy8tH5N0vEcizuFndd/BQBYG1pgafA8CryEtHLFpTKcvpaKiKhkxD0s0HhO\nyOciyNsWA7s7oofEGgI+TRhBCKlfo0Lvv//+W+f9pvLVV1/h7t272LVrF1JSUrBw4UI4ODhg6NCh\nGsvFx8fjo48+wooVKxAQEIAff/wRM2bMQEREBPT09Jq8LtJ+nEw8hx+uHgAAWBiYYWnwfFgaUB9e\nQlojhUKJq/eyEBH1EBfvZGjMjsblAL7uVhjU3RF9fOxgoC/QYaWEkLak0X16qzHGsHHjRlhaWuLV\nV18FAEycOBHBwcF49913tS6grKwMv/zyC77//ntIJBJIJBK89dZb2L17d63QGxkZCXd3d4wZMwYA\n8MEHH2DPnj2Ij4+HtzfNnEXqdinlOjZf3g0AMBOZYFnwfFgbWui4KkLI4+6nFyEiKhmnrqbU6qfr\nam+C4MBOGBjgADNjfR1VSAhpy7QOvd9++y3279+PFStWqNtGjhyJ7777DgC0Dr4xMTFQKBTw9/dX\nt/Xo0QNbtmyptaypqSni4+Nx9epVBAQE4Ndff4VYLIaTk5O2u0E6iFuZMVh3/nswxmAkNMSSgXNh\na2Sl67IIIVUKpRWq7guXk5GQUqjxnImREIO6d0JIz05wsacRgwghz0br0Hv48GGsXr0a/fv3V7dN\nmTIFzs7O+Oyzz7QOvdnZ2TA1NQWf/6gUCwsLVFRUID8/X2MSjJEjR+Lff//F66+/Dh6PBy6Xi61b\nt0IsFmu7G6QDiM+9j68jN0OulEOPr4f/PTcLjiZ2ui6LkA5PoWS4GpOJ45eSEXU3Q2M8XT6Pg55e\nthjS0wndJdbg87g6rJQQ0p5oHXoLCgrg4OBQq93Z2RnZ2dlaF1BWVlZr+LPqxzKZrNZr5+TkYNmy\nZfDz88O+ffuwaNEiHDp0CObm1D+TPJJWlIGVp8NQLq8An8vHx/3fRRcLZ12XRUiHlpVXiuOXknHi\n0gPkFJZrPNfF0QQhPZ0wwN8BJkZ0jQYhpOlpHXolEgkOHjyIDz/8UKP9t99+Q5cuXbQuQE9Pr1a4\nrX4sEok02levXg0PDw+89tprAIDPPvsMI0aMwMGDB/HWW29p/dqkfSooL8KXp8NQLCsBh8PB3D7T\n4GMj0XVZhHRIcoUSl+5k4O+LD3DtXhZYjUnSTI30MKiHI0J6OsHZjmZII4Q0L61D78yZM/HOO+/g\n8uXL6n64t27dwvXr17Fx40atC7CxsUFBQQGUSiW4XNXXWDk5OdDX14exseZfgnfu3MHkyZPVjzkc\nDiQSCdLS0rR+XdI+lVeWY9XpjcgqyQUATO/+Kno5Bui4KkI6nrRsKf65+AARUQ9RIH10URqHAwR4\nWGNor84I8rKFgE/dFwghLUPr0DtgwADs2bMHu3btQmRkJPh8Ptzc3PDLL7+oZ23ThqenJ/h8Pq5f\nv47u3bsDAC5fvoxu3brVWtba2hrx8fEabUlJSfD19dX6dUn7o1Aq8M3575GYnwwAGOs5DEO7PKfj\nqgjpOGSVCpy7lY5/LjzArYQcjecsTfQxJKgzng9ygrW5gY4qJIR0ZFqHXgAICAhAQEDTnD3T19fH\niy++iGXLluHLL79EZmYmduzYgVWrVgFQnfUVi8XQ09PDyy+/jP/973/o1q0bAgICEB4ejvT0dIwd\nO7ZJaiFtF2MM31/Zj2vptwEAAzoH4TWfF3VcFSEdQ0ZuCY6eu48Tlx6guLRS3c7lctDT0wbDendG\nd4kNeDRLGiFEh54q9MbExOCnn35CUlISvv32W5w4cQJdunRBr169nqqIxYsX49NPP8WUKVMgFosx\nd+5cDBkyBADQv39/rFq1CmPHjsXIkSNRVlaGLVu2IDMzE56enti5cyddxEbw570InEiMBAB0s/bA\nez1DweHQP7CENBeFkuFKTCaOnk3C1cf66tpaGGBor84I6ekEcxpTlxDSSnAYq/lXVcNu376N1157\nDf7+/rh27Rr++usvbNmyBYcPH8bGjRsxcODA5qr1mYWEhAAAIiIidFwJaUpX0m7h/858BwYGR2M7\nfB6yAAZCUcMrEkK0ViitwPFLyfjr/H1k5ZWq27lcDnp3s8WIPs7w7WIFLp3VJYQ8pebKa1qf6V29\nejWmTZuG+fPnq7s4fP755zA0NMSGDRtadegl7c+DghR8e/57MDCI9YywcMB7FHgJaWKMMdxLzsfR\ns0k4cz1NY1pgM7EehvV2xrDenWFpSn/2CCGtl9ah9/bt21i2bFmt9kmTJiE8PLxJiiKkMQrKi/DV\nme9QLq8Aj8vDR/1mwIZmWyOkyZTL5PjvaiqOnktCYqrmbGnd3Cwwsq8L+vjY0QQShJA2QevQKxAI\nIJVKa7Wnp6fXGleXkOYiV8ixJnILckrzAADvBE6Cp5W7jqsipH3IKSjDkbNJOHb+PqRljy5ME+nx\nENyjE0b2c0FnWxpXlxDStmgdeocMGYJ169bhm2++UbclJCTgiy++wKBBg5qyNkLqteNaOO7lJgIA\nxkiGYpBLHx1XREjbd+9BHn4/nYjIm2lQKh9d7uFkK8aofi4Y1N0RBvoCHVZICCFPT+vQu3DhQrz1\n1lvo3bs3lEolxo0bB6lUColEgo8//rg5aiREQ0RCJI4nnAEABNh543UamoyQpyZXKHH+Zjp+O5OA\new/y1e0cDhDkZYsxz7nCx82SRkMhhLR5WodeIyMj7N+/H+fPn8fdu3ehVCrRtWtXDBgwQD2jGiHN\nJTYnEd9fPQAAsDGywuzeb9LnjpCnUFwqw98XHuBIZCJyCsvV7SI9Pp7v5YTR/VxhZ2mowwoJIaRp\nPdU4vQBgZ2eH4uJicLlcuLu7U/Agza6grBBrzm2FXCmHHl8PC/q9AyMh/aNMiDYeZhbjjzOJiLj8\nELJKhbrdxtwALwxwxfNBTtSFgRDSLmkdeqVSKT744AOcOXMG1UP8cjgcjBw5EitXroRQKGzyIglR\nTTG8HfllqivI3w8KhZOpg46rIqRtYIzhblIefj0Zh6i7mRrPdXOzwJgBbgjytqUZ0wgh7ZrWofeL\nL75AUlIStm7dioCAACiVSly9ehUrVqzA2rVrsWjRouaok3RwB27/gejseADAi5Kh6NOph44rIqT1\nUyoZLt7JwMGTcYip0V+Xz+PiuQAHjBngCjdHUx1WSAghLUfr0BsREYGNGzeiZ8+e6rZBgwZBKBTi\no48+otBLmtzVtFs4HP03AMDLyh2v+ozRcUWEtG6ySgVOXknBoVNxSM0uUbcbigQY1c8Fo/u5wIym\nByaEdDBah14ulwuxWFyr3crKCnK5vEmKIqRadkkuNlz8EQBgoifG3D7TwePydFsUIa2UtKwSf51L\nwh9nEpFfXKFutzQVYexAN+qvSwjp0LQOvZMnT8aKFSvw7bffwtLSEoCqn++6deswefLkJi+QdFxy\nhRzrzm1HiawUHHAwt880mIlMdF0WIa1OTkEZfjudgL8v3EdZxaOL0zrbijEu2B3PBTjQrGmEkA5P\n69AbGRmJW7duISQkBM7OzuDz+bh//z5KSkoQHR2NQ4cOqZeNiIho0mJJx7L35mHE5d0HALzcbTS6\n2Uh0WxAhrUxqthQ/R8Tiv6spkCseTSbh42aJccFd0ENiTePrEkJIFa1Db9++fdG3b9/mqIUQtevp\nd/BnrOqXJl8bT4zzHK7jighpPR6kFyE8IhaR11NRPXEahwP08bHD+GB3dHUy022BhBDSCmkdemfN\nmtUcdRCiVlBehI0XfwKg6sc7q/dUGgeaEADxKQUIPxGL87fS1W18HgchPZ0wblAX2FsZ6bA6Qghp\n3RodeuVyOc6cOYPevXtDJBIBAPbv349Tp07B0tISb775Jtzc3JqtUNIxKJkSGy/+hMKKYgDAzF5T\nYKpvrOOqCNGtmAd5OHA8FpejH42xK+RzMayPM8YN6gJLU5EOqyOEkLahUaE3NzcXoaGhSEpKwp9/\n/gk3Nzds2rQJGzZsgI+PD2QyGV555RXs378f7u7uzV0zaceOxp7EjYy7AICRXQfD385bxxURoju3\nEnIQfjwW1+Oy1W36Qh5G9HXBSwPdaNgxQgjRQqNC78aNG8Hn83HkyBG4urqipKQEW7duRWBgIHbt\n2gUAWLVqFTZs2ID169c3a8Gk/UrKf4g9N1UXQjqbOmKS71gdV0RIy2OM4VpsNsJPxOJOYq663UCf\nj9H9XTFmgCtMjPR0WCEhhLRNjQq9p06dwooVK+Dq6goAOH/+PMrLy/HKK6+olxk+fDjee++95qmS\ntHsyRSU2XNgBhVIBPZ4Qc/tMh4BH44mSjoMxhhtx2dhzLEZj9jSxgQBjnnPD6P6uMBLRnwlCCHla\njQq9WVlZcHFxUT++cuUKOBwO+vTpo26ztraGVCpt+gpJh3Dg1u9IKVJdnBPqPx4OxrY6roiQlnMn\nMVF3dA0AACAASURBVBe7j0XjdsKjM7umRnoYO9ANI/o604QShBDSBBoVeo2NjVFYWAh7e3sAwIUL\nF+Dq6qqenAIAkpKSYG5u3jxVknbtblYc/rynGp7Mz9YLz7sN0HFFhLSMew/ysPtYDK7HPuqza2wo\nxITB7hjR1xn6Qq0H2CGEEFKPRv2N2rt3b+zevRtffPEFoqKiEB0drdGVQalUYtu2bQgMDGy2Qkn7\nVFZZjk2XfgIDg6FAhPd6htJg+qTdS0gpwJ6/YxB199FoDEYiAcYFd8Ho/q4Q6VHYJYSQptaov1ln\nz56N119/HUFBQSgpKYGDgwPefPNNAMDRo0exZcsWpKSkIDw8vFmLJe3Pzuu/IqtE9ZXu9B6vwdzA\nVMcVEdJ8HqQXYc/fMRrj7Bro8zH2OTeMec4NhtRnlxBCmk2jQq+Liwv+/PNPHDt2DBwOB6NGjYKx\nsWrs1NTUVDg5OeGrr76icXqJVq6l30ZEYiQAoHen7ujnRN8UkPYpJasY+/65hzPXU8GqZlDTF/Lw\nwgBXvDSoC8QGQt0WSAghHUCjv0OzsLDApEmTarW//fbbTVoQ6RhKK8uwNWovAMBE3xhv9XiNujWQ\ndie3sAz7/rmH4xcfqKcLFvK5GNnPBeOD3WEqpqHHCCGkpVDHMaITe24cQm6Zalimt3u8BmM9mj6V\ntB8lZZX49WQcfjudCFmlAgDA53ExvHdnTAhxh4UJzaBGCCEtjUIvaXF3smJxPOEMAFW3hiBHfx1X\nREjTqJQrcPTcfRw4HoviUhkAgMMBBgd2wuvDJLA2M9BxhYQQ0nFR6CUtqkIuw+ao3QAAI6EhpnWf\nqOOKCHl2SiXDf9dSsPuvaGTll6nbAz1tMGWUF5ztjHVYHSGEEIBCL2lhB27/gUypakzSqQEvw1Sf\nwgBpuxhjuHYvGz8euYOktCJ1e1cnU0wd7Q0fN8snrE0IIaQlaR1609LS6mzncDgQCAQwNzcHl8t9\n5sJI+5OQ9wBHYlWTUATYdcOAzkE6roiQpxf/sAA/HrmDG3E56jZ7S0NMHumFvr52dGEmIYS0MlqH\n3sGDBz/xL3OhUIhRo0Zh+fLlEAppGB6i8v/s3XtgznX/x/HntfNmBzMMc5jznJnzoQjpRk4lt5SQ\nSomK7s53EZV0UKFSdyKHX0m5FYWEKDnNmMPmfNqMMZvTztv1/f1xMe2m2sV1+e7aXo+/dn2v77Xr\npcbe++z9eX/yrHl8GjUfwzDw8fDm4Raa1iCu6VRqOl/8EMu6bcfzr5UO8GZQt7rc3roaHu76oV9E\npCiyu+h94403mDx5MqNGjaJly5YAREdHM23aNO6//36qVq3K9OnTmTZtGk8//bTDA4trWnFgLYdT\n4wEY2Kg3Zf10ZLW4loysXL5dvZ///nKA7FwrAL7e7tx1W2363FpTp6iJiBRxdv8rPWvWLMaNG0eP\nHj3yr0VERFCuXDmmT5/Od999R9myZXnxxRdV9AoAZ9JT+Wrn9wDUCK7KP2p1MjeQiB2sVoM1W+OZ\n82MsKeezAHBzs/CPNtW4t1uEZu2KiLgIu4veo0ePUr9+/auu165dm8OHDwMQHh7OmTNnbjydFAuz\nty0kMzcLi8XCwy0GqedbXMbuQ2f47LudHEg4l3+tWZ1yDO/TkGoVtAlTRMSV2F301qpVi2+//faq\nVdxvv/2WatWqARAXF0doaKhjEopLi07cyaaEbQDcUasjNctUMzmRyN9LSkln9tLd/BZzZeNu5fL+\nDO/dkOYR5dWPLiLiguwueseOHcujjz7Kli1baNasGVarlZiYGHbt2sX06dOJi4vjueeeY9iwYc7I\nKy4kKzebmVu/AiDYJ4iBjXqbnEjkr6Vn5vDN6v0sXnuQnEt9u/6+ngy6I4Lu7cK1SU1ExIXZXfR2\n6NCBhQsXMnv2bH777Tc8PDyIiIhg4sSJ1K5dm507d/LMM88wYMAAZ+QVF7I4bgWn01MAGBp5D36e\nOnpViqY8q8HqLceYsyyOsxeu9O32bF+de7vVJcBPk2hERFzddW03rlevHpMnT77mc40aNaJRo0Y3\nFEpcX9LF03y/5ycAGoVG0KZypMmJRK5t37FUPl60gwPxZ/OvtagXyoO9GlAlNMDEZCIi4kh2F71W\nq5UlS5YQHR1NTk4OhmEUeH7SpEkOCyeu64vt35JjzcXd4sawyAHqgZQi53xaNnN+jOWnTUe5/M9Y\nldAAHurdkMiI8uaGExERh7uuOb3z58+nbt26BARoFUSutv1ELFHHYwDoXvs2KgdWNDmRyBVWq8FP\nm44y58dYLqTnAODr7cF9/4igZ/vq6tsVESmm7C56lyxZwhtvvEG/fv2ckUdcXG5eLrO3fQ1AkE8g\n/Rv2NDmRyBX7jqUyY9EO9v+hlaFT88oMu7MBZQJ9TEwmIiLOZnfRm52dnX8Sm8j/+nH/GhIvJAFw\nX+O+2rwmRcL5tGzmLotjxcYj+a0M1SoE8OhdjWlYs6y54URE5Kawu+i95ZZbWLt2Lffdd58z8ogL\nO5t5nm93/whA7ZDq3Bre2uREUtJZrQYrNx/lix/UyiAiUtLZXfQ2bdqUt99+mw0bNlCzZk08PT0L\nPD9q1CiHhRPX8vWupWTkZgLwYOQ/cbOooBDz7I+3tTLsO/aHVobIygzrpVYGEZGSyO6id968eZQp\nU4bY2FhiY2MLPGexWFT0llDHzh5n1aHfALi1WmudvCamSc/MYd7yPSz97VB+K0PVS60MjdTKICJS\nYtld9K5evdoZOcTFzYtZhGEYeLl7MrCxTl4Tc2zefZKPv40h+ZztNw6+3h4MuiOCOzuolUFEpKQr\nVNGbmJhIxYoVsVgsJCYm/uW9lSpVckgwcR3bT8Sy/aRt1f/Oul0p61fG5ERS0qScz+TTxTtZH3Pl\n36e2jSoyol8jQoK0mVJERApZ9Hbp0oXffvuNkJAQOnfufM2DBgzDwGKxEBcX5/CQUnRZrVbmxnwL\n2EaU9YnoZnIiKUkuz9ydvXQ3aZm5AIQE+TCiX2PaNtJ8aBERuaJQRe8XX3xBUFAQAHPmzHFqIHEt\nqw//Tvw52+rawIa98PXUBiG5OeKTLjB94XZiD6cAYLFAj3bVeaBHPfx8PP/m1SIiUtIUquht1apV\n/sebN29m+PDh+PoW/JXhxYsX+eCDDwrcK8VbZm4WC3YtAaBqUBi3VW9nciIpCXJy81i4aj8LV+0j\nN8+2U61qhQBG39OUiHC11oiIyLUVqug9ePAgKSm21ZQPP/yQiIiI/JXfy/bt28fXX3/NSy+95PiU\nUiT9uG815zLPA3B/k7twc9NGIXGu3YfOMH3hdhJOXQTA08ONf95eh7s61cbTQ19/IiLy5wpV9MbH\nx/Poo4/m9/L+2Viyu+++23HJpEi7kHWR7/b8BECD8nVoUqGeyYmkOEvPzGHW0liWbziSf61RzbI8\nfk8Twsr5m5ZLRERcR6GK3k6dOrF69WqsVitdu3Zl4cKFlClz5deIFosFPz8/Spcu7bSgUrT8N24F\nGTm2sVCDGve95uZGEUeI3nuKaV9vJ/lsBgD+vp4M792ALi2r6utOREQKrdBzei+PIlu1ahWVKlXS\nN5sSLDk9hRX7fwGgVeWm1A6pbm4gKZbSMnKY+f0uVm4+ln+tfZNKjOjXiOAAbZgUERH72H04RVhY\nGGvXruWzzz7j8OHDLFiwgEWLFlG1alX69OnjjIxSxCzc9QM51lwsFgsDG+kgCnG8qLgkpi/czplL\nh0yU9vfm0bsb076x5oCLiMj1sbvoXb9+PaNGjaJnz57ExMRgtVrJzc3lhRdewDAM+vbt64ycUkQk\nnD/BL0c2AHBbeFsqB2oWqjjOxfRs/vPdLlZHxedf69isMg/3bUiQv7eJyURExNXZXfROmzaNp59+\nmqFDh7JixQoAxowZg7+/PzNnzlTRW8x9tfN7DMPA082D/g17mh1HipEtsSeZvnA7KeezAAgO8Obx\n/k1o3VA/WImIyI2ze8bP3r176dy581XX//GPf3Ds2LFrvEKKi8Op8WxO2A7AHbU76bhhcYj0zBym\nLtjGhJmb8gvezi2q8OGznVXwioiIw9i90hsQEMCpU6eoWrVqgesHDhy4anavFC8Ldy0FwNvDm746\nblgcYOfBZN7/ahunUtIBKBPozah7mtKyfgWTk4mISHFjd9Hbq1cv3njjDd544w0sFgtpaWmsW7eO\niRMn0qNHD2dklCLgUMpRohJ3ANC9dicCfQJMTiSuLDsnj7nL4vhu3UEM26Fq3No0jEfvbkyAn5e5\n4UREpFiyu+h96qmnOHnyZH7vbr9+/TAMg06dOjFmzBiHB5Si4etLq7w+Ht70qtvV5DTiyg7En2XK\nl1uJT7Kdqhbg58ljdzXhlmZhJicTEZHizO6i19PTk3fffZcnn3yS2NhYrFYrderUoVatWs7IJ0XA\n/jOHiT6xC4AedW4jwFsnYIn98vKsfL1qPwtW7iXPalvebR5RntEDmhIS5GtyOhERKe7sLnovS0pK\n4uzZs9x5552cPHmS3NxcPDyu+9NJEXZ5ldfX04c762iVV+x3IjmNd+dvZe+xVAB8vNx5qE9DurWu\npoNuRETkprC7Sr148SLDhw8nJiYGi8VC+/bteeeddzh27BizZs0iNDTUGTnFJHuTDxJzMhaAnnW6\n4O9dyuRE4koMw2DVlng+XbyDjKw8AOpXL8OYeyOpEKKvJRERuXnsHlk2ZcoULBYLK1euxMfHdhTo\nM888g7e3N2+99ZbDA4q5vtn9AwClPH3pWefqUXUif+ZCejaT50bxwYJtZGTl4e5mYXD3erwxsoMK\nXhERuensXulds2YN7777LlWqVMm/VrNmTV555RUef/xxh4YTcx04c4SYk3EA9KjTmVJefiYnElex\n48Bp3vu/aJIvHSNcqWwpnr6vOXWqBpucTERESiq7i96UlBTKlSt31fXAwEDS09MdEkqKhkVxywHw\n9fChe+3bTE4jriAn18r85XEs+uVA/iiybq2r8VCfhvh6q+dfRETMY3d7Q6NGjVi2bNlV1+fPn0/9\n+vUdEkrMd+zscaKOxwDQrdat6uWVv5V4+iLPTFvHt2tsBW+AnycvDGnJ6AFNVfCKiIjp7P5ONHbs\nWB588EF27NhBbm4uH3/8MQcPHmT37t3MnDnTGRnFBJdXeb3cPbmzbheT00hRt2ZrPB9/G5O/Wa1J\n7bKMuTdSo8hERKTIsHulNzIykq+++go/Pz+qVavG9u3bqVChAvPnz6d169bOyCg3WeKFJDbEbwWg\nS40OBPkEmpxIiqqMrFze+zKaKf8Xnb9Zbdid9ZnwSDsVvCIiUqRc1+8cIyIiNKmhGFsctwLDMHB3\nc6d3xO1mx5Ei6nDiOSbPieL4advJaqFl/Hh2cAttVhMRkSKpUEXv9OnTC/0JR40add1hxHyn087w\n65FNAHQKb0uInwoYKcgwDH5cf5iZS3aTk2sFoH2TSoy+pymlfD1NTiciInJthS563dzcqFChwl/e\nZ7FYVPS6uCV7fybPsOJmcaNvvW5mx5Ei5mJ6NlO/3s6GnScA8PJw45F+jXSymoiIFHmFKnoHDBjA\nypUrAejZsyc9e/YkIiLCqcHk5ruQdZE1h34HoF2V5oT6Xz2aTkqufcdSmTxnC6dSMwCoEhrAc4Nb\nUK2ier5FRKToK9RGtgkTJvDbb78xceJEUlJSGDJkCN27d+fDDz/kyJEjNxwiOzubF198kZYtW3LL\nLbcwa9asP7137969DBo0iCZNmtC7d282bdp0w+8vNisOrCMrLxtAvbySzzAMlv52iOem/5pf8HZr\nXY0pT92qgldERFxGoTeyubu70759e9q3b8/48eP57bffWLZsGXfffTdVq1alR48e9OzZk0qVKtkd\nYvLkycTGxjJ37lwSEhJ47rnnCAsLo1u3gr9ev3jxIsOHD6dLly5MnjyZxYsXM2rUKFasWEGZMmXs\nfl+5Ijs3m+X71wDQOLQe4cFV/uYVUhKkZ+Yw7evt/BaTCICPlzuP39OUTpGVTU4mIiJiH7tHlgF4\nenpy22238dZbb7FhwwYGDBjAJ598Qpcu9s9zzcjI4JtvvuHf//43ERERdO3alYceeoh58+Zdde+i\nRYsoVaoUr776KlWqVGH06NGEh4eza9eu6/ljyB/8cmQj57Nsu/C1yisAR06cZ+z7a/ML3iqhAUx5\nqqMKXhERcUnXfUzSqVOn+Omnn1i+fDlbt26lWrVqDB482O7Ps2fPHvLy8mjatGn+tebNm/PJJ59c\nde+WLVvo3LlzgWsLFy60P7wUYLVaWbr3ZwDCS1emUaj6tUu6nzcf4+NFO8jOsR020al5ZR6/uwk+\nOllNRERclF3fwZKSklixYgXLly9n27ZtVKlShe7du+ev0l6P06dPU7p0aTw8rkQJCQkhKyuL1NRU\ngoOvjMyKj4+nUaNGvPLKK6xevZrKlSvz7LPPEhkZeV3vLTZbEmM4efE0AL3q3q5d+CVYVk4enyza\nwcrNxwDw9HDjkb6NuKONpjOIiIhrK1TR+8UXX7B8+XJiYmKoVKkS3bt356WXXqJBgwY3HCAjIwMv\nL68C1y4/zs7OLnA9PT2dzz77jAceeIDPPvuMpUuXMnz4cJYvX05oaOgNZymJDMPg+7ifACjrV4a2\nVZubnEjMcvJMGpNmb+FQ4jkAKoT48dwDLalVubTJyURERG5coYreSZMm4enpyS233EKjRo0AWLNm\nDWvWrLnqXnvn9Hp7e19V3F5+7Otb8BhTd3d36tWrl/8eERERrF+/nu+++45HHnnErvcVm73JB9mf\ncgSAnnU64+Hmbm4gMUX0nlO8PS+Kixk5ALRpWIEnB0bir8MmRESkmChU0Xt5IsP+/fvZv3//n953\nPYdThIaGcvbsWaxWK25utn11ycnJ+Pj4EBhYcBxSuXLlqFGjRoFr4eHhnDhxwq73lCuW7lsFQClP\nXzrXaG9yGrnZrFaDb1bvZ97yOAwD3CwwuEd97r6tltoZRESkWClU0bt69WqnBahXrx4eHh5s3749\nvzc3KiqKhg0bXnVv06ZN2bJlS4Frhw4dolevXk7LV5ydSjvDluMxAHSp2QFfTx+TE8nNlJ6Zw3tf\nRrNx10kAAvy8eOb+5jSrW97kZCIiIo53XSPLHMnHx4c+ffowbtw4du7cyc8//8ysWbMYMmQIYFv1\nzcrKAmDgwIHs3buX6dOnc+zYMT744AMSEhLo3bu3mX8El7V8/y8YhoHFYuGOWh3NjiM3UXzSBca+\nvy6/4K1ZOYj3xnRUwSsiIsWW6UUvwAsvvEDDhg0ZMmQIEydO5Mknn6Rr164AdOjQgWXLlgG2NouZ\nM2eyevVqevXqxdq1a/nPf/5D+fL6Rm2vjJxMVh9aD0DrsGaUKxViciK5WdbvSOTpD9Zy/LRtLnOX\nllWYPOoWQsv4mZxMRETEeYrE0E0fHx8mTZrEpEmTrnpuz549BR43a9aMRYsW3axoxdbaIxtJz7Ed\nKdujTue/uVuKA6vVYP6KPXz98z4APNwtPNy3Ed3bhqt/V0REir0iUfTKzWU1rCzbZ5u8USO4KnXL\n1vibV4irS8/MYcr/RbNpt62doUygN88/0Ip61XV8t4iIlAwqekug7Sd2c+LiKcC2yqtVvuLtRHIa\nEz/fRHzSBQDqVgvmxaGtKBOojYsiIlJy2F30pqenM3v2bKKjo8nJycEwjALPz5kzx2HhxDl+2Geb\nxlHaJ5B2VXQYRXEWs+80b87Zkj9/t0vLKoy8uwlenprHLCIiJYvdRe8rr7zCqlWraNeuHeXKlXNG\nJnGi+HOJ7Eyy9Ul3q9URD3ct9hdHhmGw5LdDzPx+N1argZsFhvVqSJ9ba2hlX0RESiS7K541a9Yw\nZcoUbrvtNmfkESdbcWAtAB5uHtxes4PJacQZcnLz+PjbHazcfAyAUr6ePDu4BZEaRyYiIiWY3UWv\nm5sbNWvWdEYWcbKMnEzWHdkEQNsqkQT5BP7NK8TVnL2QxRuzNxN3JAWAyuX9efnB1lQq529yMhER\nEXPZPae3W7duGhnmon49uonMXNtBHzqMovg5evI8T09dl1/wtqgXyjtP3KqCV0REhOtY6S1Tpgyf\nf/4569ato3r16nh5eRV4/lqzdsV8hmGw4sA6AMJLV6Z2SHWTE4kjRe85xeS5W0jPzAWgX6daDOlZ\nH3c39e+KiIjAdRS927dvp0mTJgCcOnXK4YHEOfYkHyD+XCJg28CmzUzFxw/rD/Pp4p1YrQbubhZG\n9m9Ct9bVzI4lIiJSpNhd9M6dO9cZOcTJLq/y+nr60KFaS5PTiCPk5VmZuWQ3S349BIC/rycvDG1J\n41qaqiIiIvK/ClX0btmyhWbNmuHh4cGWLVv+9D6LxUKLFi0cFk4c42zGOTYlbAOgU3hbfDy8TU4k\nNyo9M4e35kaxdY/tty0Vy5Zi3ENtCFP/roiIyDUVqugdPHgw69evJyQkhMGDB2OxWK46lAJsRW9c\nXJzDQ8qNWX34d/KseQB0q3WryWnkRp1KSWfCzI0cPWk7Ya1hzRBeGNKKwFJef/NKERGRkqtQRe+q\nVasoU6ZM/sfiOvKseaw8+CsADcvXJSywgsmJ5EYciD/LhJkbSb1gm8LRtWVVRvZvgqeH3YNYRERE\nSpRCFb1hYWHX/Ph/ZWVl3XgicahtJ3ZzJj0V0Cqvq4uKS2LynC1kZttW7Yf0rM/dt9XSpkQREZFC\nsHsjW2pqKjNmzGDfvn3k5dm++RqGQU5ODgcOHCAqKsrhIeX6rTr0GwBBPoG0CGtichq5Xss3HOHj\nRTuwWg083N0YOyiSW5r++Q+gIiIiUpDdvxN99dVXWbx4McHBwURFRREaGkpaWhrbt2/nkUcecUZG\nuU4p6WeJPrELgNuqt8XDzd3kRGIvwzCY82MsH34Tg9Vq4O/ryWuPtlPBKyIiYie7V3o3bNjA5MmT\n6dSpE3v37mX48OFERETw8ssvc+DAAWdklOv0y5EN+RsOO1dvZ3IasVdOrpWpC7bxS3QCAOXL+DH+\noTZUCQ0wOZmIiIjrsXulNy0tjbp16wJQo0YN9uzZA8D999/Ppk2bHJtOrpvVsLL60HoAGpSvQ4WA\n8iYnEntczMhh/H825Be8taqU5p0nblHBKyIicp3sXukNDQ3l+PHjVKxYkfDwcPbu3QuAr68v586d\nc3hAuT67kvZyKu0MAF1qdDA5jdjjVGo6r362kWOXRpK1rB/Ks/e3wMfb7r+uIiIicondK73dunXj\nhRdeYOvWrbRr147//ve/LF++nKlTp1Ktmo4+LSp+vrSBzd+rFK0qNzU5jRTW0ZPneXbar/kFb/e2\n4bw0tJUKXhERkRtk93fSMWPGkJubS2JiIr169aJbt2489dRTBAYG8sEHHzgjo9jpfOYFthyPAeDW\n8NZ4uXuanEgKI/bwGSbM3ERaRg4AD/SoR//OtTWSTERExAHsLnp/+uknRo0aRVBQEAATJkxg7Nix\nBAQE4O6u6QBFwdojm/JPYOuq1gaXsHn3SSbP2UJ2rhU3Nwuj72lK11ZVzY4lIiJSbNjd3jBhwgRO\nnz5d4Frp0qVV8BYRhmHkb2CrG1KDykEVTU4kf+fnzUd5ffZmsnOteHm689KwVip4RUREHMzuojc8\nPJx9+/Y5I4s4wP4zhzl+4SQAnWu0NzmN/BXDMFi4ah8fLNh+ZQbviHa0qq+jokVERBzN7vaGiIgI\n/vWvf/HZZ58RHh6Ot7d3gecnTZrksHBiv18ObwDA28ObtlUiTU4jf8ZqNZj5/S6+//UQAGWDfHj1\nkbZUrRBocjIREZHiye6i9/DhwzRv3hzgqjYHMVd2bjbr423HQLep3AwfTx+TE8m15ORaef+raNZt\nOw5A5fL+THikHeWCfU1OJiIiUnzZXfTOnTv3T59LTk6+oTByYzYfjyEjJxOATtXbmpxGriUzO5c3\nv9jC1j2nAKhbNZhXHmpDYCkvk5OJiIgUb3b39NarV4+UlJSrrickJHD77bc7JJRcn7VHbK0N5UqF\nUK9cLZPTyP9Kz8xh/H825he8zSPK89qj7VTwioiI3ASFWun95ptv+P777wHb5pvHH38cT8+Cs19P\nnTpFYKD6Ec1yJj2VHSdtR0J3DG+Dm8Xun2fEic5dzGL8Zxs5EH8WgA5NKjF2UHM8PfT/SURE5GYo\nVNHbtWtXtm7dmv+4QoUK+PgU7BetU6cOffv2dWw6KbR1RzZhYADQMby1yWnkj86cy+DlTzYQn2Q7\nZa1b62qM7N8EdzcdOiEiInKzFKroLV26dIGpDC+99BL+/v5OCyX2MQyDXy61NtQvV5tQ/3ImJ5LL\nTp5J498zficpJR2Avh1r8mCvBjplTURE5CazeyPbH4vflJQUoqKiKFu2LJGRGo9llv1nDnPigq1P\nVBvYio5jJ8/z8icbSDlv21w46I4IBt5eRwWviIiICQrdUPjhhx/SunVrjh49CkB0dDTdunXjiSee\nYNCgQQwbNozMzEynBZU/98fZvG0qNzM5jQAciD/L8x+uzy94H+7TkHu71VXBKyIiYpJCFb0LFixg\nxowZDBgwgJCQEABefPFFfHx8WLp0KWvXriUtLY1PP/3UqWHlatl5Ofweb+u31mzeoiHucAovzVjP\nhfRs3CzwxICm9L61ptmxRERESrRCFb0LFy7k+eef5+mnn8bf35+dO3dy5MgRBg8eTK1atQgNDeWx\nxx7jhx9+cHZe+R/RiTtJz8kA4FZtYDPdzoPJvPLp76Rn5uLhbuGZwS24vXU1s2OJiIiUeIXq6T14\n8CDt27fPf7xx40YsFgsdO3bMv1arVi0SExMdn1D+0m9HtwAQ7BNEg3J1TE5Tsm3fd4qJn28mOycP\nD3c3Xhjaklb1K5gdS0RERLBjI9sfexGjoqIICgoiIiIi/1paWhq+vjpG9Wa6mJ1G9IldALSv2gI3\nN818NUtUXBJvzN5MTq4VLw83XnqwNZF1y5sdS0RERC4pVJVUp04doqOjATh//jybNm0qsPIL4Bx9\nbQAAIABJREFUsGzZMurU0UrjzbQpfhu51lwAOlRrZXKakmvTrhO8PstW8Hp7ufPKQ21U8IqIiBQx\nhVrpve+++xg3bhxxcXFs27aN7OxshgwZAkBSUhJLlixh5syZvP76604NKwX9dszW2hAWUIHqwVVM\nTlMyrd+RyNtzo8izGvh6uzPuobY0qBFidiwRERH5H4Uqenv37k12djZffvklbm5uvPfeezRu3BiA\nTz75hK+//pqHH36YPn36ODWsXHEmPZXYU/sBuCW8lUZhmWBtdAJTvozGajXw8/Hg1YfbEhFexuxY\nIiIicg2F7unt378//fv3v+r6iBEjGD16NMHBwQ4NJn9t/bEt+ccOd6ja0uQ0Jc/qqHg++CoaqwH+\nvp5MGNGW2lX0d0BERKSosvtEtv8VGhrqiBxip18vTW2oG1KD8v5lTU5TsqyOiuf9r6IxDAgs5cXE\nEe2oERZkdiwRERH5Czdc9MrNd+zscY6eTQC0ge1m+2XrlYI3yN+L1x9tT7WKgWbHEhERkb+hGVcu\n6PIGNneLG22rNjc5TcmxNjqB9768ssL7mgpeERERl6Gi18UYhsH6Y1EANKlQn0Bvf5MTlQy/bjvO\nlP/bitWAAD8vXnu0HeEqeEVERFzGDRW92dnZjsohhXQg5Qin084A0F4b2G6K32KO805+wevJa4+2\no3ol9fCKiIi4kusqer/88ks6d+5M06ZNiY+PZ9y4cXz00UeOzibXsOHYVgA83TxoHtbI5DTF3/od\nibw9bytWq4G/r6c2rYmIiLgou4veJUuW8O6779KvXz88PT0BqFmzJjNmzODzzz93eEC5wmpY2RBv\nOxmvWcWG+Hnq2Gdn+v3SwRNWq0GpSwVvzcqlzY4lIiIi18Huovfzzz/npZdeYvTo0bi52V7+wAMP\n8Morr7BgwQKHB5Qr9iUf5kxGKgDttIHNqTbuOsFbl05aK+XjwcQRbalVRQWviIiIq7K76D18+DAt\nWrS46nrr1q05ceKEQ0LJtf0eb9vA5uXuSWQltTY4S/SeU0yeYyt4/Xw8mDCinQ6eEBERcXF2F71l\ny5bl8OHDV13ftm0b5cuXd0gouZrVamVT/DYAIis1wsfD2+RExdOug8m8PnszuXlWfL3defWRttSp\nqoJXRETE1dld9P7zn/9kwoQJrFq1CoBDhw7x5Zdf8vrrr3P33Xc7PKDY7Ek+QGrmOQDaVVFrgzPs\nPZrChJkbyc7Jw8vDjZeHtyGiWhmzY4mIiIgD2H0i28MPP8yFCxcYO3YsWVlZjBgxAg8PDwYOHMiI\nESOckVGA3y9NbfDx8CayYkOT0xQ/h46fY9x/NpKRlYeHu4UXh7WiUU0d7ywiIlJcXNcxxGPHjuWx\nxx7jwIEDGIZBjRo18PfXIQnOkmfNY2OCbWpDi0qN8fLwMjlR8RKfdIGXP/mdtIwc3NwsPDu4Jc0j\nQs2OJSIiIg50XUVvRkYG+/btIycnB8MwiIuLy3+uZUsdmOBosaf3cz7rIqCpDY52IjmNf89Yz/m0\nbCwWGHtvJG0bVTQ7loiIiDiY3UXvqlWreP7557l48SKGYRR4zmKxFCiAxTEuH0jh6+lDkwr1TU5T\nfJxKTeffM9aTcj4LgFH3NKVjZGWTU4mIiIgz2F30vvPOO7Rt25aRI0cSEBDgjEzyB1arlc3HtwPQ\nslITPN09TU5UPKSez+TlGb9zKjUDgEf6NqJb62ompxIRERFnsbvoTUhI4JNPPqFq1arOyCP/Y0/y\ngfzWhtZVmpmcpni4mJHDuP9sIDE5DYAHetSj1y01TE4lIiIizmT3yLLw8HBOnjzpjCxyDZsSbKu8\n3h7eNAmtZ3Ia15eZncvEmRs5nHgegHu61OaeLnVMTiUiIiLOZvdK77/+9S8mTpzImDFjqFGjBl5e\nBScJVKpUyWHhSjqrYWXzpaK3WcUGmtpwg3LzrEyeE0Xs4RQA/tE2nMHd9YOEiIhISWB30Tty5Ejy\n8vIYOXIkFosl/7phGNrI5mCHUo5xJiMVgNaVm5qcxrVZrQYfLNhGVFwSAB2aVOLRuxoX+BoWERGR\n4svuovfzzz9XoXCTbEywHTvs4eZBZMVGJqdxXYZh8Nn3u/hlawIAzeqUY+yg5ri76etYRESkpLC7\n6G3dujV5eXmkpqYSHByMu7u7M3KVeIZhsPlS0du4Qj18PX1MTuS6Fvy8jyW/HgKgbrVgXhzaCk8P\nu9vZRURExIXZVfT++OOPzJkzhx07duS3MzRq1IghQ4bQo0cPZ2UskeLPJXLy4mkA2lTW1Ibr9cP6\nw8xfvgeAqhUCGPdQG3y8r+tMFhEREXFhhf7u/9prrzFv3jzatm3LU089RXBwMOfOnWPz5s08/fTT\nbN26lZdfftmZWUuUy60NbhY3mldSa8P1WBudwCf/3QFA+TJ+THikLQF+2gwoIiJSEhWq6F25ciUL\nFizgk08+oWPHjgWee+ihh9iwYQMjR46kbdu2dO3a1SlBS5rLUxsalK9NgLe/yWlcz7a9p3jvy2gM\nA0r7ezPxkbaEBPmaHUtERERMUqjGxvnz5zNixIirCt7L2rZty6OPPsr//d//OTRcSXXiwimOnTsO\nQGu1NtjtYMJZJn2xmTyrgZ+PB+MfbkOlcvrBQUREpCQrVNG7Z88e7rjjjr+8p2vXrsTGxjokVEm3\n6VJrgwULLcM0qsweJ8+k8epnG8nIysPD3cKLQ1tRs3Jps2OJiIiIyQpV9GZmZuLn5/eX93h7e5OT\nk+OQUCVd1HFbH2rtkOoE+waZnMZ1nLuYxfj/bCD1QhYAY+6NpEntcianEhERkaKgUEVv1apV2bp1\n61/eEx0dTXh4uCMylWhnM8+z/8xhAFqENTY5jevIzM7ltc83cfx0GgDDezfg1maVTU4lIiIiRUWh\nit6ePXvywQcfkJqaes3nz5w5w9SpU7nrrrscGq4kik7chYEBQMuwJiancQ15eVbembeVPUdtX599\nbq1J3461TE4lIiIiRUmhit6hQ4cSFBTEXXfdxRdffMHOnTuJj48nLi6OOXPmcNddd1GxYkUGDhzo\n7LzFXtTxGAAq+penUkCoyWmKPsMw+HjRDjbtPgnYjhd+sFcDk1OJiIhIUVOokWXe3t7MmTOH119/\nnbfeegur1Zr/nKenJ/379+eZZ57R6Ww3KCs3mx1JcQA0D2us454L4euf97Fi41EAGtUsy9hBkbjp\neGERERH5H4U+nMLf359Jkybx/PPPs2PHDs6dO0dwcDCNGzcmICDghkJkZ2czfvx4Vq5ciY+PDw8+\n+CDDhg37y9ckJCTQq1cvPv30U1q2bHlD719U7EyKIzvPthmwpfp5/9bPm48y79Jpa+EVA3lxWCs8\nPfSDl4iIiFzN7vNYg4KCuOWWWxwaYvLkycTGxjJ37lwSEhJ47rnnCAsLo1u3bn/6mvHjx5OZmenQ\nHGa7PLUhwKsUdUJqmJymaNu29xTTFtpaQcqW9mX8w23w9/U0OZWIiIgUVYXq6XWmjIwMvvnmG/79\n738TERFB165deeihh5g3b96fvub7778nPT39JqZ0PqthZWviTgAiKzXC3U0rln/m6MnzvDlnC1ar\nQalLh0/otDURERH5K6YXvXv27CEvL4+mTa8cwtC8eXN27NhxzftTU1N59913mTBhAoZh3KyYTnfg\nzBHOZV0ANKrsr6Sez+TVzzaSnpmLu5uFF4a0olqFQLNjiYiISBFnetF7+vRpSpcujYfHlU6LkJAQ\nsrKyrjki7c0336Rfv37UqlW8RlJFJdqKfE83D5qE1jM5TdGUmZ3LhM83cTo1A4DH+zehSR0dPiEi\nIiJ/z+6id/HixWRnZ191PT09ndmzZ9sdICMjAy8vrwLXLj/+3/f5/fff2bZtGyNHjrT7fYq6y/28\nDUMj8PH0MTlN0ZNnNXh3/lYOxJ8F4J4utbm9dTWTU4mIiIirKNRGtpSUlPxNYy+88AK1a9cmODi4\nwD2xsbFMmTKFoUOH2hXA29v7quL28mNf3yt9mllZWYwfP55x48ZdVSS7upMXTpFw/gQALSqpteFa\nZi/dzcZdtlm8tzYN4/5/aDVcRERECq9QRe+6det4/vnnsVgsGIZB//79r7rHMAw6duxod4DQ0FDO\nnj2L1WrFzc228JycnIyPjw+BgVd6NXfs2EF8fDyjR48u0Mv78MMP07dvX8aPH2/3excVUZc2sAE0\nr9TIxCRF0w/rD7N47UEA6oWX4cmBzTSLV0REROxSqKK3b9++hIWFYbVaGTJkCFOnTiUoKCj/eYvF\ngp+fH3Xq1LE7QL169fDw8GD79u1ERkYCEBUVRcOGDQvc16RJE3766acC126//XZef/112rZta/f7\nFiXbTtiK3urBVSjjV9rkNEVLVFwSn/7X1vpRMaQULw1rhZenJluIiIiIfQo9p/fyARBz5swhMjKy\nwMazG+Hj40OfPn0YN24cb7zxBklJScyaNYs333wTsK36BgQE4O3tTZUqVa56ffny5SlTpoxDspgh\nIyeT2NMHAIisqFXePzp0/Bxvzd2C1QB/X0/GPdyGIH9vs2OJiIiIC7J7I1urVq1YtmwZJ0/a+is/\n+ugj7rzzTl555RWysrKuK8QLL7xAw4YNGTJkCBMnTuTJJ5+ka9euAHTo0IFly5Zd83XF4ZjenUl7\nyLPmARBZqeHf3F1ypJ7PZOLnm8jIysPD3Y2XhrUirJy/2bFERETERdm9XPvRRx8xY8YMZs+ezfHj\nx5k6dSr33HMPmzZt4p133uGll16yO4SPjw+TJk1i0qRJVz23Z8+eP31dXFyc3e9V1ERf6ucN8Pan\nZrCmEQBk5+Tx+uzNJJ+1jSYbPaApDWuWNTmViIiIuDK7V3q//fZbJk+eTGRkJCtWrKBp06ZMnDiR\n119/neXLlzsjY7FlGAbbTuwGoFmFBvkb+UoywzCYtnA7e4/aZjT371ybzi2ubmsRERERsYfdVdap\nU6do1qwZYJub26FDBwAqVqzI+fPnHZuumDtyNoHUzHMANKvUwOQ0RcO3aw7wy9YEAFo3qMDg7hpN\nJiIiIjfO7vaGChUqcPjwYbKysjhw4ADt27cHbBMXKlSo4PCAxdm2E7sAW29ykwr1TU5jvk27TjDn\nx1gAwisG8vR9zTWaTERERBzC7qJ34MCBPPXUU3h5eVG3bl2aNWvG/Pnzeeutt3jiiSeckbHYik60\nFb11Q2rg71XK5DTmOpx4jnfmb8UwIMjfi5cfbI2vt2MmhIiIiIjYXVUMHz6c6tWrEx8fT+/evQEI\nDAzk5ZdfvuahFXJt57Musv/MYQAiS/iBFGcvZPHa55vIzLZNanhxaCvKl/EzO5aIiIgUI9e1lNa5\nc+cCj3v16uWQMCVJzIlYDGwnyzWrWHL7eXNy83hj9mZOpdomNTzevwn1q4eYnEpERESKG7uL3qys\nLBYsWMC+ffvIy8vLv56dnc2uXbtYsWKFQwMWV9GXTmEL8Q2malCYyWnMYRgGH34TQ9yRFAD6dapF\n11ZVTU4lIiIixZHdRe9rr73G4sWLqV+/Pjt37qRZs2YcPXqUM2fOMHToUCdELH6sVivbT9o2bDWr\n2KBYHLJxPb5bd4hVW+IBaFk/lCE9tZlPREREnMPukWWrVq1i0qRJLFiwgLCwMCZOnMiaNWvo0qUL\nOTk5zshY7Ow7c5i07HSg5J7CFrPvNLOW2mYUVwkN4F/3NcddkxpERETESewues+fP09kZCQAtWrV\nIjY2Fk9PT0aMGMGaNWscHrA4irm0yuvu5k7D8nVNTnPzJaWkM3luFFarQSlfT/79YCv8fDzNjiUi\nIiLFmN1Fb5kyZThz5gwA4eHh7Nu3D4Dg4GCSk5Mdm66Yulz0RpStiY+nj8lpbq7M7FzemLWZC+nZ\nWCzwzP3NqVTW3+xYIiIiUszZXfTeeuutvPrqq+zfv5/mzZuzdOlSdu7cyfz583U4RSFcyLrIwZSj\nACXuQArDMJj29XYOJdpOoRvcvR7NI0JNTiUiIiIlgd1F77PPPkv58uXZvHkzXbp0oWbNmtxzzz3M\nnTtXh1MUws6kPfmjypqWsKL3v78cZN224wC0b1KJ/p1rm5xIRERESgq7pzcEBgby0Ucf5T/+9NNP\niYuLo2zZspQvX96h4Yqjy1MbgnwCqVq65Iwq27b3FF/8YNu4Fl4xkKf+2azETq0QERGRm8/ulV6A\nzMxMFi9ezLvvvsu5c+e4ePEinp7aiPR3DMPI7+dtEloPN8t1/ed3OSfPpPHW3CisBvj7evLSsFb4\n6IhhERERuYnsrjySk5MZOHAgycnJZGdnM2DAAD7//HN27drFF198Qc2aNZ2Rs1iIP5dIaoatn7Wk\n9PNmZuXy+qzNXMzIwc0Czw5uQYWQUmbHEhERkRLG7qXGN998k1q1arFhwwa8vb0BmDx5MrVr1+bt\nt992eMDiJOZkXP7HjStEmJjk5jAMgw8WbOPIifMADOlZn2Z11QIjIiIiN5/dRe/GjRt54okn8PX1\nzb8WFBTEc889R3R0tEPDFTc7kmytDdVLVyHIJ9DkNM733bqD/BaTCMCtTcPo16mWyYlERESkpLK7\n6E1LS8PPz++az+Xm5t5woOIqOzeb2NMHAGhSsfi3Nuw6mMyspbYiP7xiIKP/2VQb10RERMQ0dhe9\nLVu25MsvvyxwLScnh48//jj/pDa5WuzpA+Tk2Y5pLu79vCnnM20b16wGfj4evDCkJT5e2rgmIiIi\n5rG7Ennuuee477772Lx5Mzk5OYwfP55Dhw5x4cIF5s2b54yMxcLlqQ0+Ht7UDalhchrnyc2z8tbc\nKFIvZAEw5t5IKpXTiWsiIiJiLruL3po1a/L999/z5ZdfUr58eaxWK927d2fQoEFUrlzZGRmLhctF\nb4PydfBwL76rnnN+jGP3Idsx1XffVos2DSuanEhERETkOopegPLly/Pkk08WuHb+/Hm2bNlCy5Yt\nHRKsODmTnkrC+RNA8W5tWL8jkf/+YutbblyrLIO71zM5kYiIiIiNw05HiImJ4YEHHnDUpytWdibt\nyf+4cYXiWQgmnLrAB19tA6BMoA//ur857u4l4/ANERERKfpUldwEl4veEL9gKvoXvzm1mVm5TPpi\nCxlZubi7WXjugRYEB/iYHUtEREQkn4peJzMMg11JewFoFBpR7MZ2GYbB9IUxHDt5AYAHezWgfvUQ\nk1OJiIiIFKSi18mOXzhJaqbt6OFG5YvfKWw/rj/M2m0JANzSNIxetxTfyRQiIiLiulT0OtnOk1f6\neRuG1jUxiePtj0/ls+93AVAl1J/RA3QAhYiIiBRNhZre0Llz578tZjIzMx0SqLjZecrW2lAlsCLB\nvkEmp3Gcixk5TJ4TRW6egbeXOy8MaYWvd/EdxSYiIiKurVBVSr9+/bSCdx3yrHnsvlT0NgwtPq0N\nhmEw7ettJKWkAzDy7sZUCQ0wOZWIiIjInytU0Tt69Ghn5yiWDqUeIyPHtgLeqBgVvT+uP8zvO2xz\nh7u2rErnFlVNTiQiIiLy19TT60SXR5W5WdyoX762yWkc40DCWT77fjcAVUIDGNGvkcmJRERERP6e\nil4nulz01ixTDT9PX5PT3Li0jBzemhNFbp4Vby93nn+gBT7q4xUREREXoKLXSbJzs9mXfAgoHq0N\nhmEwbeF2TpxJA+DRfo2pWiHQ5FQiIiIihePQotcwDEd+Ope2J/kgOdZcoHgUvcs2HGF9TCIAnVtU\noWsr9fGKiIiI67C76O3SpQtnz5696npSUhJt2rRxSKji4HJrg5e7J3VCqpuc5sYcTDjLZ99dmcf7\n2F2NTU4kIiIiYp9CNWT++OOP/PrrrwAcP36cCRMm4O3tXeCe48ePa6zZH1w+erheuVp4unuanOb6\npWfmMHluFDm5Vrw83XlucEv18YqIiIjLKVT10qxZM7766qv89oXExEQ8Pa8UchaLBT8/PyZPnuyc\nlC7mYnYah1KPAdDQhY8eNgyDj77ZwYnky328jahWUX28IiIi4noKVfRWrFiROXPmADB48GCmT59O\nUFDxOV3M0facPoCB7QcEVz56eM3WeNZuSwCgU/PK6uMVERERl2V3T+/cuXP/tOA9efLkDQcqDnaf\n2g+Ar6cP4aUrm5zm+iQmX2TGoh0AVAwpxWN3NVb7ioiIiLgsu5sz4+PjmTx5Mvv27SMvLw+w/Ro8\nOzublJQUYmNjHR7S1cSe2gdAvbK1cHdzNzmN/XJyrbw9bysZWXm4u1n41/3N8fNx3b5kEREREbtX\neidMmMDevXu54447SEpKomfPnjRo0IDk5GTGjx/vhIiu5WJ2GkfO2loC6pevY3Ka6zN/eRwH4m0T\nOu7vXo86VYNNTiQiIiJyY+xe6Y2Ojuajjz6idevW/Prrr3Tt2pXGjRvz3nvvsXbtWgYMGOCMnC6j\nQD+vCxa92/ed4ts1BwBoXKssd3WqZXIiERERkRtn90pvdnY2VavaNjRVr16dvXtto7n69u1LTEyM\nY9O5oIL9vFVMTmOfcxezeO/LaAAC/LwYOygSNzf18YqIiIjrs7voDQsLY98+W89q9erViYuLA8Bq\ntZKWlubYdC4ov5+3XG3c3FznlGfDMJi6YDsp57MAeGpgM0KCfE1OJSIiIuIYdrc39OvXj2effZa3\n3nqLTp068cADD1CpUiXWr19P3bquO57LES5mXennbVDOtVobflh/mM2xtukbPdtXp1WDCiYnEhER\nEXEcu4veRx55BG9vbwzDoHHjxowcOZKPP/6YihUr8vbbbzsjo8uIS77Sz9ugfG2T0xTe4cRzfL5k\nNwDVKgQwrFcDkxOJiIiIOJbdRa/FYmHo0KH5jx955BEeeeQRR2ZyWbsvtTa4Uj9vVk4eb8/bajtm\n2MONZ+5vgben641ZExEREfkrrtN06gJcsZ939pLdxCddAODB3g11zLCIiIgUS65RmbmAi1lpHD17\nHHCdft7oPadYuv4wAK3qV6BHu3BzA4mIiIg4iYpeB3G1ft7zadl8sMA2nizI34vRA5rqmGEREREp\ntgpV9L711lucO3cOgMTERAzDcGooV+RK/byGYfDRNzH548meGNCM0gHeJqcSERERcZ5CFb3z5s3j\nwgVb32eXLl1ITU11aihX5Er9vL9EJ7B+RyIAd7SppvFkIiIiUuwVanpDWFgYo0aNol69ehiGwWuv\nvYa397VXBidNmuTQgK4gLTs9v5+3frmi3dpwKiWdGYt2AFAxpBTDezc0OZGIiIiI8xWq6H377beZ\nMWMGx48fx2KxkJiYiKenp7OzuYy9yYfy+3nrlatlcpo/Z7UavPdVNOmZubhZYOygSHy97Z5aJyIi\nIuJyClXxNGzYkOnTpwPQuXNnPv74Y4KDg50azJXsST4AgLe7F9WDq5qc5s8tXnuQXQfPAHBPlzpE\nhJcxOZGIiIjIzWH3Mt/q1asBOHjwIPv27cPT05OaNWtSvXp1h4dzFXGnbUVv7ZDqeLgVzYMdDiee\nY+6yOABqVQ5iYLeSfWS0iIiIlCx2F73Z2dmMHTuWn3/+Of+axWLhtttu4/3338fLy8uhAYu67Lwc\nDqYcBSCiiLY2ZOfkMeX/osnNs+Ll6c7YQc3xcC/am+1EREREHMnuymfKlCns2LGDDz/8kC1btrBp\n0yamTZtGbGws06ZNc0bGIu3AmSPkWnOBotvPO2/5Ho6cOA/Ag3fWp0pogMmJRERERG4uu4vepUuX\n8uqrr9KlSxcCAgIICgqia9eujBs3jiVLljgjY5F2uZ/X3eJG7ZCi1+Kx62Ayi9faMkbWLU+P9kUv\no4iIiIiz2V30pqWlUaNGjauuV69enZSUFIeEciWX+3mrB1fFx6NoHfCQkZXLBwu2YRjg7+vJE//U\nqWsiIiJSMtld9NapU4fly5dfdX3ZsmUlbjOb1WplX/IhoGj2837xQywnz6QDMOKuxoQE+ZqcSERE\nRMQcdm9ke+yxxxg5ciRxcXFERkZisViIiopi5cqVvPvuu87IWGQdPXecjNxMoOj188bsP80P6w8D\n0LZRRTo2CzM5kYiIiIh57C56O3XqxNSpU/n000/55ZdfMAyDunXr8v7779OtWzdnZCyy4k7vz/84\nomxNE5MUlJ6Zw9QF2wAI8PPisbsbq61BRERESrTrOo6ra9eudO3a1dFZXM6e0wcBqBxYkQBvf5PT\nXPH5kt2cSs0A4LG7GxMc4GNyIhERERFzaVjrdTIMg7hLkxuKUj9v9N5TrNhomxvcoUklbmmqtgYR\nERERFb3X6eTF05zLtM2+rVe2aBS9aRk5TLvU1lDa35tH72psciIRERGRokFF73W6PKoMIKJc0ejn\nnfn9LpLP2TbWjezfmCD/ojVCTURERMQsdhe9hmE4I4fL2XOp6A3xC6ZcqRCT08CW2JOs3HwMgI7N\nKtO2USWTE4mIiIgUHXYXvbfccgvvvvsuhw4dckYel7E32baJrSi0NlxMz2b6wu0ABAd4M+KuRiYn\nEhERESla7C56H3/8cbZs2UKPHj345z//yYIFC7h48aIzshVZ5zMvcOLiKQDqFoFRZZ8u3knK+SwA\nRt3TlAA/L5MTiYiIiBQtdhe99957L1999RXLly+nTZs2fPrpp3To0IGnn36a33//3RkZi5x9Z66s\nctcte/WRzDdTVFwSa7YmANC5RRVaNahgah4RERGRoui6N7KFh4czZswYli9fzsiRI1m1ahXDhw+n\nc+fOzJo1i7y8PEfmLFL2Xjp62MfDmypB5vXOpmfm8OEf2hoe7tPQtCwiIiIiRdl1HU4BEBMTw+LF\ni/nxxx/Jzs7m9ttv56677uLEiRNMmzaNnTt3MmXKlEJ9ruzsbMaPH8/KlSvx8fHhwQcfZNiwYde8\n95dffuH999/n6NGjVK1alSeffJLOnTtf7x/julxe6a0dEo67m/tNfe8/mv1DbP60hsfuboK/2hpE\nRERErsnuovejjz7iu+++49ixYzRs2JAxY8Zw55134u9/5UQyT09PXnnllUJ/zsmTJxNvkU3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8lEA7d6hX5edOxNtu45B8DjAfVoWv/B34pZREREpKwpctF78OBBxo8fz7hx4zhz5gwAjRo1onLl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\n3v8Hsewi1nKMlTIAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x114984be0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Number of Strains Needed tropical ipa random 131\n",
      "Number of Strains Needed tropical ipa Cycle 2 46\n",
      "Percent Reduction in Strains Needed: 0.6488549618320612\n",
      "Percent at 30 strains: 0.7794573262318976\n"
     ]
    },
    {
     "data": {
      "image/png": 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NiSp2K1WqRHR0tNOymJgYncEuhepmMylA9rMpGIbB6mOr+duPf2Pvxb3Zbpea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\nIUSJ9f8DVnaB/3VCoQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x113f81438>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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MMJC6I1WpKhCsJSk2qcmPWwjROCRwFUKIJszd4qV1E9Z5vE9Tpu+gZ90tTX+c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\nlixReHi4BgwYoLvuu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      "text/plain": [
       "<matplotlib.figure.Figure at 0x114a6fdd8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Probabilities of Success, Random, Cycle2: 0.003678528588564574 0.006757297081167533\n"
     ]
    },
    {
     "data": {
      "image/png": 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CSC9QJq/AraLagJtSfBupJXeg0qiaXdaEw0UfSxd42rjDy9odXjZ90cfShUZM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\nRERE1Oix6CUiIiKiRu//AQjOYhpM8MxlAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11461b080>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Number of Strains Needed hop hunter random 625\n",
      "Number of Strains Needed hop hunter Cycle 2 340\n",
      "Percent Reduction in Strains Needed: 0.45599999999999996\n",
      "Percent at 30 strains: 0.18405385875160563\n"
     ]
    },
    {
     "data": {
      "image/png": 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5zURRrVo1Fi1axIcffsiSJUtYuHAhNpuNhx9+mGefffaa9/voo494//33SUhIIDAwkMaN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\n3uhI9Vbr1vDZZzB8OPj9+sS19euhaVOjkwkhhKiOak+BKCs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mDgshxGlVu9hduHAhSUlJ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\nH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roo2qj9OVm4l0OmLZxV9+NQCjlr38+a/GmsyZ9GoCaCGEMCzbzv4WZ9WwK1MozZjSgo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\nQgghhKiy/h9tgLrj4jDpeQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x114986ba8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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L/u604JLsrBCiOpJxFUKIS5CnFxuwBJUp6SmkHk8lJT2FuPVx1WZE3WnBJQsk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G9o4Mczg6v0IqGjw/9+gCitiFawZ5lgQfWd1ajYX4Hm7maYUk0oK1bOcnvi+FeiyNMcuE6cOBFv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\nCwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1149c55c0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Probabilities of Success, Random, Cycle2: 0.025589764094362255 0.07177129148340664\n"
     ]
    },
    {
     "data": {
      "image/png": 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EO3aFlYGFhiIkhJC2S6FgkEjl0NGmdKsloLNASBvDGENCfjJOJl7ApSfXIVXI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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x113fcff98>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Number of Strains Needed torpedo random 89\n",
      "Number of Strains Needed torpedo Cycle 2 31\n",
      "Percent Reduction in Strains Needed: 0.651685393258427\n",
      "Percent at 30 strains: 0.892934416516143\n"
     ]
    },
    {
     "data": {
      "image/png": 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PT0+aNGmCXq/P9bOX37E2Go3Ex8ejKEqBM3LEx8dz8+ZNGjdubLE9Z3hKRkaGxR9Ej5LX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\nPv/8c1q1asVzzz3H8uXLueKKK6is9H+zAbfbzbx585gyZQoZGRmMHj2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bUi2Z09eza7d+/mww8/ZPr06bz11lt8913Z2Yn27NnDgw8+yPDhw/nqq68YMWIEDz30EHv27Km2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\nAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x112f50ba8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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GybgKIcQlqj4nL/laAiATpoQQdSGBqxCXOJMJMjLAbAa9HtLTwSAxxCWjviYv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\nRK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x112b41550>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Probabilities of Success, Random, Cycle2: 0.04070371851259496 0.09040383846461415\n"
     ]
    },
    {
     "data": {
      "image/png": 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3QfPKS0SpvKzOuhwOB65mTvC0ag9Pazd4WLnB1dyJHgIjhJAmQkkuIYQ0UJm8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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x113827e10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Number of Strains Needed pale ale random 56\n",
      "Number of Strains Needed pale ale Cycle 2 25\n",
      "Percent Reduction in Strains Needed: 0.5535714285714286\n",
      "Percent at 30 strains: 0.9417281817874745\n"
     ]
    }
   ],
   "source": [
    "#Generate Model Sample\n",
    "def generate_sample(model,log_error_moments,X):\n",
    "    error = np.random.normal(loc=log_error_moments[0],scale=log_error_moments[1])\n",
    "    return math.log(max(model.predict(X),0.018)) + error\n",
    "\n",
    "def leave_one_out_xval(model,X,y):\n",
    "    '''Calculate Residual Error For Leave One Out Cross Validation'''\n",
    "    \n",
    "    error_dist = []\n",
    "    for i in range(len(X)):\n",
    "        Xs = [val for j,val in enumerate(X) if j != i]\n",
    "        ys = [val for j,val in enumerate(y) if j != i]\n",
    "        Xt = X[i]\n",
    "        yt = y[i]\n",
    "        #print('len',len(Xs),len(ys))\n",
    "        model.fit(Xs,ys)\n",
    "        error_dist.append(math.log(max(model.predict(np.array(Xt).reshape(1, -1)),0.018)) - math.log(yt))\n",
    "    \n",
    "    #sns.distplot(error_dist)\n",
    "    #plt.show()\n",
    "    \n",
    "    #Calculate Error Residuals\n",
    "    error_stdev = np.std(error_dist)\n",
    "    error_mean  = np.mean(error_dist)\n",
    "    \n",
    "    return error_mean,error_stdev\n",
    "\n",
    "def generate_proteomics_models(df):\n",
    "    model = {}\n",
    "    error_moments = {}\n",
    "    proteins = ['tHMG1','FPPS','LIS','GerS']\n",
    "    for protein in proteins:\n",
    "        lin_model = LassoLarsCV(positive=False,normalize=False)\n",
    "\n",
    "        X = [[val] for val in df['Promoter '+ protein].values]\n",
    "        y = [math.log(max(val,0.018)) for val in df[protein].values]\n",
    "        \n",
    "        #Calculate Error Moments\n",
    "        error_moments[protein] = leave_one_out_xval(lin_model,X,y)\n",
    "        \n",
    "        #Fit Complete Model\n",
    "        model[protein] = lin_model.fit(X,y)\n",
    "        \n",
    "    return model,error_moments\n",
    "  \n",
    "def generate_proteomics(X,model,error_moments):\n",
    "    #Use the Fit Linear Models\n",
    "    proteins = ['tHMG1','FPPS','LIS','GerS']\n",
    "    proteomics = [0,0,0,0]\n",
    "    #print(X)\n",
    "    for i,protein in enumerate(proteins):\n",
    "        error = np.random.normal(loc=error_moments[protein],scale=error_moments[protein])\n",
    "        prediction = model[protein].predict(np.array(X[i]).reshape(1,-1))\n",
    "        proteomics[i] = math.exp(math.exp(math.log(prediction[0])) + error[0])\n",
    "    return proteomics\n",
    "\n",
    "def num_strains_needed(ps):\n",
    "        p = 0\n",
    "        n = 0\n",
    "        while p < 0.9:\n",
    "            n += 1\n",
    "            p = 1- (1 - ps)**n\n",
    "        return n\n",
    "    \n",
    "#Generate a random strain\n",
    "def generate_random_genotype():\n",
    "    return np.random.randint(low=1, high=19, size=4)\n",
    "\n",
    "#Generate Random Cycle 2 Genotype\n",
    "def generate_cycle2_genotype():\n",
    "    #Randomly Select Strain From dfc2\n",
    "    strain = np.random.randint(low=0,high=29)\n",
    "    return dfc2[['Promoter tHMG1','Promoter FPPS','Promoter LIS','Promoter GerS']].iloc[strain].values\n",
    "\n",
    "#Calculate Distribution of distances from target\n",
    "def target_distance(target,model,error_moments,promoter_model,promoter_error,generator_fun,num=25010):\n",
    "    distances = []\n",
    "    geraniol = []\n",
    "    linalool = []\n",
    "    for i in range(num):\n",
    "        #Generate Random Strain\n",
    "        rand_strain = generator_fun()\n",
    "        \n",
    "        #Generate Linalool/Geraniol Predictions\n",
    "        rand_strain_proteomics = generate_proteomics(rand_strain,promoter_model,promoter_error)\n",
    "        rand_strain_linalool = generate_sample(model['linalool'],error_moments['linalool'],rand_strain_proteomics)\n",
    "        rand_strain_geraniol = generate_sample(model['geraniol'],error_moments['geraniol'],rand_strain_proteomics)\n",
    "        \n",
    "        #Calculate Log Euclidian Distance from the Target\n",
    "        sample_dist = math.sqrt((rand_strain_linalool - target[0])**2 + (rand_strain_geraniol - target[1])**2)\n",
    "        distances.append(sample_dist)\n",
    "        linalool.append(rand_strain_linalool)\n",
    "        geraniol.append(rand_strain_geraniol)\n",
    "    return distances,linalool,geraniol\n",
    "\n",
    "thresh = 0.44\n",
    "promoter_model,promoter_error = generate_proteomics_models(df_total)\n",
    "#proteomics = generate_proteomics(generate_random_genotype(),model,error_moments)\n",
    "#print(proteomics)\n",
    "\n",
    "Y_train = [x[2:].tolist() for j,x in enumerate(data)]\n",
    "X_train = [x[:2].tolist() for j,x in enumerate(data)]\n",
    "\n",
    "model = {'linalool':kinetic_model_class('linalool'),\n",
    "         'geraniol':kinetic_model_class('geraniol')}\n",
    "\n",
    "error_moments = {'linalool':[report['Kinetic Model']['Linalool']['Sample Mean'],report['Kinetic Model']['Linalool']['Sample Standard Deviation']],\n",
    "                 'geraniol':[report['Kinetic Model']['Geraniol']['Sample Mean'],report['Kinetic Model']['Geraniol']['Sample Standard Deviation']]}\n",
    "\n",
    "target_dict = {'pale ale':     [0.205484162,0.313515363], #Pale Ale\n",
    "               'tropical ipa': [0.666675148,0.847184161], #Tropical IPA\n",
    "               'hop hunter':   [1.425741149,1.917484004], #Hop Hunter\n",
    "               'torpedo':      [0.531025331,0.569713904]} #Torpedo\n",
    "\n",
    "def conv_log_10(vec):\n",
    "    '''Convert a vector of log base e values to log base 10 values.'''\n",
    "    if isinstance(vec,list):\n",
    "        return [val/math.log(10) for val in vec]\n",
    "    else:\n",
    "        return vec/math.log(10)\n",
    "\n",
    "#Calculate Model and Error Moments\n",
    "for target in target_dict:\n",
    "    target_dict[target] = [math.log(val) for val in target_dict[target]]\n",
    "    \n",
    "    #Calculate distances for random selection vs \n",
    "    random_dist,rand_linalool,rand_geraniol = target_distance(target_dict[target],model,error_moments,promoter_model,promoter_error,generate_random_genotype)\n",
    "    cycle2_dist,cycle_linalool,cycle_geraniol = target_distance(target_dict[target],model,error_moments,promoter_model,promoter_error,generate_cycle2_genotype)\n",
    "    \n",
    "    \n",
    "    #Create Overlay Plot\n",
    "    sns.distplot(conv_log_10(random_dist),color='b')\n",
    "    sns.distplot(conv_log_10(cycle2_dist),color='g')\n",
    "    plt.title('Probability of being Log distance from ' + target)\n",
    "    plt.ylabel('Probability Density')\n",
    "    plt.xlabel('Log 10 Distance from '+ target)\n",
    "    plt.gca().set_xlim(left=0)\n",
    "    \n",
    "    plt.savefig(condition_string + 'RandomVsCycle2Distance'+ target+'.pdf',format='pdf')\n",
    "    plt.show()\n",
    "\n",
    "    #Create Scatter Plot of target, random and cycle 2\n",
    "    plt.scatter(conv_log_10(rand_linalool),conv_log_10(rand_geraniol),color='b')\n",
    "    plt.scatter(conv_log_10(cycle_linalool),conv_log_10(cycle_geraniol),color='g')\n",
    "    \n",
    "    #Plot Target and Threshold radius\n",
    "    plt.scatter(conv_log_10(target_dict[target][0]),conv_log_10(target_dict[target][1]),color='r')\n",
    "    circle1 = plt.Circle((conv_log_10(target_dict[target][0]),conv_log_10(target_dict[target][1])), conv_log_10(thresh), color='r',alpha=0.4)\n",
    "    \n",
    "    ax = plt.gca()\n",
    "    ax.add_artist(circle1)\n",
    "    plt.axes().set_aspect('equal', 'datalim')\n",
    "    \n",
    "    plt.title('Strain Predictions vs. Target Beer: '+ target)\n",
    "    plt.xlabel('Log 10 linalool concentration')\n",
    "    plt.ylabel('Log 10 geraniol concentration')\n",
    "    plt.savefig(condition_string + 'RandomVsCycle2Scatter'+ target+'.pdf',format='pdf')\n",
    "\n",
    "    plt.show()\n",
    "\n",
    "    \n",
    "    #Calculate Success Probability\n",
    "    random_success = sum([int(val < thresh) for val in random_dist])/len(random_dist)\n",
    "    cycle2_success = sum([int(val < thresh) for val in cycle2_dist])/len(cycle2_dist)\n",
    "    print('Probabilities of Success, Random, Cycle2:', random_success,cycle2_success)\n",
    "    \n",
    "    #Create Loopy Plots From Success Probability\n",
    "    beer=target\n",
    "    loopy_plot(random_success,cycle2_success,num_strains=100)\n",
    "    \n",
    "    \n",
    "    #Calculate Number of Strainst to hit 90%\n",
    "    rand_strains = num_strains_needed(random_success)\n",
    "    c2_strains =   num_strains_needed(cycle2_success)\n",
    "    print('Number of Strains Needed',target,'random',num_strains_needed(random_success))\n",
    "    print('Number of Strains Needed',target,'Cycle 2',num_strains_needed(cycle2_success))\n",
    "    print('Percent Reduction in Strains Needed:',1-(c2_strains/rand_strains))\n",
    "    #Calculate percent at 30 strains...\n",
    "    print('Percent at 30 strains:',1-(1-cycle2_success)**30)\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Probabilities of Success: 0.052941176470588235 Kinetic Model\n",
      "Probabilities of Success: 0.0392156862745098 Linear Model\n",
      "Probabilities of Success: 0.01568627450980392 Gaussian Regressor Model\n"
     ]
    },
    {
     "data": {
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KeQIoRHLIRTLIRXawaymRbVgWmZcFUvB59O+TkJ6GPrWEkD6JMYayKjVyimqQ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cA3og3tH/8nJldXJ6cSERGR+qhKRe/o0aMdnaNO2bn/mPXjzm0q35SiLrc25OxNJHHmbAA8goOJ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\nPKIXAAAAxiN6AQAAYDyiFwAAAMZ7BwUJ0Dw2CMZyAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11416cb00>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#For Each Model Predict The Number of Strains Needed to Hit SNPA and Plot Loopy Plot\n",
    "models = [{'linalool':kinetic_model_class('linalool'),\n",
    "           'geraniol':kinetic_model_class('geraniol')},\n",
    "          {'linalool':linear_model_class('linalool'),\n",
    "           'geraniol':linear_model_class('geraniol')},\n",
    "          {'linalool':gaussian_model_class('linalool'),\n",
    "           'geraniol':gaussian_model_class('geraniol')}]\n",
    "\n",
    "model_type = ['kinetic','linear','gaussian']\n",
    "success_prob = []\n",
    "for model in models:\n",
    "    target = 'torpedo'\n",
    "    \n",
    "    #Calculate distances for random selection vs \n",
    "    cycle2_dist,cycle_linalool,cycle_geraniol = target_distance(target_dict[target],model,error_moments,promoter_model,promoter_error,generate_cycle2_genotype)\n",
    "    \n",
    "    \n",
    "    #Calculate Success Probability\n",
    "    cycle2_success = sum([int(val < thresh) for val in cycle2_dist])/len(cycle2_dist)\n",
    "    success_prob.append(cycle2_success)\n",
    "    #print('Probabilities of Success:',cycle2_success)\n",
    "\n",
    "\n",
    "#Plot Loopy Plot with all traces\n",
    "for ps,model_name in zip(success_prob,['Kinetic Model','Linear Model','Gaussian Regressor Model']):\n",
    "    \n",
    "    print('Probabilities of Success:',ps,model_name)\n",
    "    num_samples = [m for m in range(160)]\n",
    "    p = [1- (1 - ps)**n for n in num_samples]\n",
    "    plt.plot(num_samples,p)\n",
    "    \n",
    "    p = 0\n",
    "    n = 0\n",
    "    while p < 0.9:\n",
    "        n += 1\n",
    "        p = 1- (1 - ps)**n\n",
    "    report[model_name]['Required Strains'] = n\n",
    "    #print(model_name,'30 Strains Prob',1- (1 - ps)**30)\n",
    "\n",
    "plt.axhline(y=0.9, color='k', linestyle='--')\n",
    "plt.title('Strains to hit terpene target of ' + target)\n",
    "plt.xlabel('Number of Strains')\n",
    "plt.ylabel('Probability of at Least One Strain Meeting Specification') \n",
    "#plt.xlim(60,95)\n",
    "#plt.ylim(0.8,0.95)\n",
    "plt.savefig(condition_string + 'AllModelsNumStrainsPrediction.pdf',format='pdf')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "69.25"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
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   "source": [
    "(92+85+84+16)/4"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Generate Summary Report of Results for each model\n",
    "\n",
    "For each model we report the \n",
    "1. sample mean, \n",
    "2. sample standard deviation, \n",
    "3. the ammount of expected error which captures 90% of the data, \n",
    "4. and the number of strains required for a 90% chance of success.\n",
    "\n",
    "All numbers except number of strains are reported as natural logs."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Using the Linear Model :\n",
      "    Linalool Prediction:\n",
      "       sigma is 0.9137118454661237 , mean is 0.2840080861602499\n",
      "       90% of the time the models accuracy is within 1.5030559857917736\n",
      "\n",
      "    Required Number of Strains for a 90% Chance to successfully hit a terpine profile is  58\n",
      "\n",
      "    Geraniol Prediction:\n",
      "       sigma is 1.2078091545335878 , mean is 0.3061569898840497\n",
      "       90% of the time the models accuracy is within 1.986846059207752\n",
      "\n",
      "    Total Terpines Prediction:\n",
      "       sigma is 0.9320264973026205 , mean is 0.2014871730116581\n",
      "       90% of the time the models accuracy is within 1.5331835880628109\n",
      "\n",
      "\n",
      "Using the Kinetic Model :\n",
      "    Linalool Prediction:\n",
      "       sigma is 0.6521232755240336 , mean is 0.16226045165331604\n",
      "       90% of the time the models accuracy is within 1.0727427882370353\n",
      "\n",
      "    Required Number of Strains for a 90% Chance to successfully hit a terpine profile is  43\n",
      "\n",
      "    Geraniol Prediction:\n",
      "       sigma is 1.067568245493129 , mean is 0.42907129472740224\n",
      "       90% of the time the models accuracy is within 1.7561497638361971\n",
      "\n",
      "    Total Terpines Prediction:\n",
      "       sigma is 0.7193877747875356 , mean is 0.2215759754427555\n",
      "       90% of the time the models accuracy is within 1.183392889525496\n",
      "\n",
      "\n",
      "Using the Gaussian Regressor Model :\n",
      "    Linalool Prediction:\n",
      "       sigma is 0.7327355700131791 , mean is -0.01065437229773214\n",
      "       90% of the time the models accuracy is within 1.2053500126716796\n",
      "\n",
      "    Required Number of Strains for a 90% Chance to successfully hit a terpine profile is  146\n",
      "\n",
      "    Geraniol Prediction:\n",
      "       sigma is 1.3216945583701518 , mean is 0.07599621108895731\n",
      "       90% of the time the models accuracy is within 2.1741875485189\n",
      "\n",
      "    Total Terpines Prediction:\n",
      "       sigma is 0.923658781215894 , mean is -0.10497009337441125\n",
      "       90% of the time the models accuracy is within 1.5194186951001456\n",
      "\n",
      "\n"
     ]
    }
   ],
   "source": [
    "#Print Report\n",
    "for model_name in report:\n",
    "    print('Using the',model_name,':')\n",
    "    for value in report[model_name]:\n",
    "        if value == 'Required Strains':\n",
    "            print('    Required Number of Strains for a 90% Chance to successfully hit a terpine profile is ',\n",
    "                  report[model_name][value])\n",
    "            print('')\n",
    "        else:\n",
    "            print('   ',value,'Prediction:')\n",
    "            print('      ','sigma is',report[model_name][value]['Sample Standard Deviation'],\n",
    "                        ', mean is',report[model_name][value]['Sample Mean'])\n",
    "            print('      ','90% of the time the models accuracy is within',report[model_name][value]['Sample Standard Deviation']*1.645)\n",
    "            print('')\n",
    "    print('')"
   ]
  }
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