{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/AngelaTam/anaconda3/lib/python3.5/site-packages/statsmodels/compat/pandas.py:56: FutureWarning: The pandas.core.datetools module is deprecated and will be removed in a future version. Please use the pandas.tseries module instead.\n", " from pandas.core import datetools\n" ] } ], "source": [ "import pandas as pd\n", "import scipy.io\n", "from os import listdir\n", "from sklearn.utils import shuffle\n", "from sklearn import preprocessing\n", "from nilearn import plotting\n", "#from proteus.io import util\n", "from proteus.visu import sbp_visu\n", "\n", "import glob,os\n", "import nibabel as nib\n", "\n", "\n", "import pickle\n", "from proteus.predic import high_confidence_at\n", "import numpy as np\n", "import pandas as pd\n", "from proteus.predic import prediction\n", "from sklearn import preprocessing\n", "from sklearn.model_selection import StratifiedKFold\n", "\n", "from sklearn import metrics\n", "\n", "import matplotlib.pyplot as plt\n", "from matplotlib import cm\n", "import seaborn as sns\n", "\n", "import statsmodels.formula.api as smf\n", "import statsmodels.api as sm\n", "from statsmodels.stats.multicomp import pairwise_tukeyhsd\n", "\n", "from copy import deepcopy" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def stats_mask(y_true, y_pred, mask_selected=None):\n", " if mask_selected is None:\n", " mask_selected = np.ones(y_pred.shape).astype(bool)\n", " print('------------------------')\n", " print('Ratio:', y_true[mask_selected].sum()/y_true.sum()) \n", " print('# : ', y_true[mask_selected].sum()) \n", " print('# true values: ',mask_selected.sum())\n", " print('ACC : ', np.mean((y_true == y_pred)[mask_selected])) " ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def predic_stats(y_, y_pred, lr_decision):\n", " # number of AD subjects\n", " n_ad = sum(y_)\n", " print('Total number of TARGET subjects: ', n_ad)\n", "\n", " # number of CN subjects\n", " n_cn = len(y_) - sum(y_)\n", " print('Total number of NON-TARGET subjects: ', n_cn)\n", " \n", " # number of subjects predicted as AD at stage 1\n", " n_pos = sum(y_pred)\n", " print('Stage 1 number of hits (true and false positives): ', n_pos)\n", " \n", " # true positives at stage 1\n", " n_pos_ad = sum(y_pred[y_.astype(bool)])\n", " print('Stage 1 TRUE positives: ', n_pos_ad)\n", " \n", " # false positives at stage 1\n", " n_pos_cn = n_pos - n_pos_ad\n", " print('Stage 1 FALSE positives: ', n_pos_cn)\n", " \n", " # number of CN subjects not identified as positive (true negatives)\n", " n_neg1_cn = n_cn - n_pos_cn\n", " print('Stage 1 TRUE negatives: ', n_neg1_cn)\n", "\n", " # number of all flagged HPC-AD subjects\n", " n_flag = sum(y_pred[lr_decision>0])\n", " print('Total number of flagged HPC-AD subjects: ', n_flag)\n", " \n", " # number of flagged HPC-AD subjects who are actually AD (true positives)\n", " y_pred_true = y_ + y_pred\n", " y_pred_true = y_pred_true==2\n", " n_flag_ad = sum(y_pred_true[lr_decision>0])\n", " print('Number of flagged HPC-AD subjects that are TRUE positives: ', n_flag_ad)\n", "\n", " # number of flagged HPC-AD subjects that are actually CN (false positives)\n", " n_flag_cn = n_flag - n_flag_ad\n", " print('Number of flagged HPC-AD subjects that are FALSE positives: ', n_flag_cn)\n", "\n", " # number of CN subjects that were not flagged (true negatives)\n", " n_neg_cn = n_cn - n_flag_cn\n", " print('Number of true negatives: ', n_neg_cn)\n", " \n", " print('#############################')\n", " print('Stage 1 stats for TARGET vs NON-TARGET')\n", " print('Precision for AD: ', n_pos_ad/(n_pos_ad + n_pos_cn))\n", " prec = n_pos_ad/(n_pos_ad + n_pos_cn)\n", " print('Recall (or sensitivity) for AD: ', n_pos_ad/n_ad)\n", " sens = n_pos_ad/n_ad\n", " print('Specificity: ', n_neg1_cn/n_cn)\n", " spec = n_neg1_cn/n_cn\n", " fp = (1-spec)*664\n", " tp = sens*336\n", " adj_prec = tp/(tp+fp)\n", " print('Adjusted precision for 33.6% baseline rate: ', adj_prec)\n", " print('Accuracy: ', (n_pos_ad + n_neg1_cn)/(n_ad + n_cn))\n", " acc = (n_pos_ad + n_neg1_cn)/(n_ad + n_cn)\n", "\n", " print('#############################')\n", " print('Stage 2 stats for TARGET vs NON-TARGET')\n", " print('Precision for HPC-AD: ', n_flag_ad/n_flag)\n", " prec_2 = n_flag_ad/n_flag\n", " print('Recall (or sensitivity) for HPC-AD: ', n_flag_ad/n_ad)\n", " sens_2 = n_flag_ad/n_ad\n", " print('Specificity: ', n_neg_cn/n_cn)\n", " spec_2 = n_neg_cn/n_cn\n", " fp_2 = (1-spec_2)*664\n", " tp_2 = sens_2*336\n", " adj_prec_2 = tp_2/(tp_2 + fp_2)\n", " print('Adjusted precision for 33.6% baseline rate: ', adj_prec_2)\n", " print('Accuracy: ', (n_flag_ad + n_neg_cn)/(n_ad + n_cn))\n", " acc_2 = (n_flag_ad + n_neg_cn)/(n_ad + n_cn)\n", " \n", " return sens, spec, prec, acc, sens_2, spec_2, prec_2, acc_2" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def hpc_df(dataframe, y_pred, lr_decision):\n", " # make mask out of flagged subjects\n", " mask_flag_hpc = lr_decision>0\n", " # stack the predicted values and mask so we can put it into a dataframe\n", " pred = np.stack((y_pred,mask_flag_hpc),axis=1)\n", " # make dataframe\n", " flag_df = pd.DataFrame(data=pred, columns=['f_s1','f_hpc'])\n", " # add flag status to dataframe, so we can see which subjects have been flagged\n", " dataframe['f_s1'] = flag_df['f_s1'].values\n", " dataframe['f_hpc'] = flag_df['f_hpc'].values\n", " # create labels based on flags at stage 1 and stage 2\n", " for i,row in dataframe.iterrows():\n", " s1 = row[dataframe.columns.get_loc(\"f_s1\")]\n", " hp = row[dataframe.columns.get_loc(\"f_hpc\")]\n", " if s1 == 0 and hp == 0: \n", " dataframe.ix[i,'flag_status'] = 'Negative'\n", " if s1 == 1 and hp == 0:\n", " dataframe.ix[i,'flag_status'] = 'Non-HPS+'\n", " if hp == 1:\n", " dataframe.ix[i,'flag_status'] = 'HPS+'\n", " # create dummy variables based on flags\n", " for i,row in dataframe.iterrows():\n", " flag = row[dataframe.columns.get_loc(\"flag_status\")]\n", " if flag == 'Negative':\n", " dataframe.ix[i, 'f_neg'] = 1\n", " dataframe.ix[i, 'f_s1_only'] = 0\n", " if flag == 'Non-HPS+':\n", " dataframe.ix[i, 'f_neg'] = 0\n", " dataframe.ix[i, 'f_s1_only'] = 1\n", " if flag == 'HPS+':\n", " dataframe.ix[i, 'f_neg'] = 0\n", " dataframe.ix[i, 'f_s1_only'] = 0\n", " # create labels for diagnosis and flags\n", " try:\n", " for i,row in dataframe.iterrows():\n", " flag = row[dataframe.columns.get_loc(\"flag_status\")]\n", " dx = row[dataframe.columns.get_loc(\"DX\")]\n", " conv_ad = row[dataframe.columns.get_loc(\"conv_2_ad\")]\n", " if flag == 'Negative':\n", " if dx == 'CN':\n", " dataframe.ix[i, 'flag_dx'] = 'CN-'\n", " if dx == 'MCI' and conv_ad == 0:\n", " dataframe.ix[i, 'flag_dx'] = 'sMCI-'\n", " if dx == 'MCI' and conv_ad == 1:\n", " dataframe.ix[i, 'flag_dx'] = 'pMCI-'\n", " if dx == 'Dementia':\n", " dataframe.ix[i, 'flag_dx'] = 'AD-'\n", " if flag == 'Non-HPS+':\n", " if dx == 'CN':\n", " dataframe.ix[i, 'flag_dx'] = 'CN+'\n", " if dx == 'MCI' and conv_ad == 0:\n", " dataframe.ix[i, 'flag_dx'] = 'sMCI+'\n", " if dx == 'MCI' and conv_ad == 1:\n", " dataframe.ix[i, 'flag_dx'] = 'pMCI+'\n", " if dx == 'Dementia':\n", " dataframe.ix[i, 'flag_dx'] = 'AD+'\n", " if flag == 'HPS+':\n", " if dx == 'CN':\n", " dataframe.ix[i, 'flag_dx'] = 'HPS+ CN'\n", " if dx == 'MCI' and conv_ad == 0:\n", " dataframe.ix[i, 'flag_dx'] = 'HPS+ sMCI'\n", " if dx == 'MCI' and conv_ad == 1:\n", " dataframe.ix[i, 'flag_dx'] = 'HPS+ pMCI'\n", " if dx == 'Dementia':\n", " dataframe.ix[i, 'flag_dx'] = 'HPS+ AD'\n", " except:\n", " pass" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# function to calculate ratios for a binary variable of interest (voi) between the target and non-target groups\n", "def compare_ratio_var(dataframe, voi, target_grp):\n", " \n", " # number of Abeta+ CN subjects\n", " a = dataframe[dataframe['%s'%target_grp]==0]['%s'%voi].sum()\n", " b = len(dataframe[(pd.notnull(dataframe['%s'%voi]) & (dataframe['%s'%target_grp]==0))])\n", " print('baseline rate in NON-TARGET subjects: ', a/b)\n", "\n", " print('#'*10)\n", " # number of Abeta+ AD subjects\n", " a = dataframe[dataframe['%s'%target_grp]==1]['%s'%voi].sum()\n", " b = len(dataframe[(pd.notnull(dataframe['%s'%voi]) & (dataframe['%s'%target_grp]==1))])\n", " print('baseline rate in TARGET subjects: ', a/b)\n", "\n", " print('#'*10)\n", " # number of Abeta+ subjects in the whole sample\n", " a = dataframe['%s'%voi].sum()\n", " print('number of subjects with VOI in the whole sample: ', a)\n", "\n", " # total number of subjects with amyloid data in whole sample\n", " b = len(dataframe[(pd.notnull(dataframe['%s'%voi]))])\n", " print('total number of subjects with VOI data in whole sample: ', b)\n", "\n", " print('ratio: ', a/b)\n", "\n", " print('#'*10)\n", " # number of Abeta+ subjects that are positive at stage 1 (including HPC)\n", " a = dataframe[dataframe.f_s1==1]['%s'%voi].sum()\n", " print('number of subjects with VOI that are positive at stage 1: ', a)\n", "\n", " # total number of positive stage 1 subjects with amyloid data\n", " b = len(dataframe[(pd.notnull(dataframe['%s'%voi]) & (dataframe.f_s1==1))])\n", " print('total number of positive stage 1 subjects with VOI data: ', b)\n", "\n", " print('ratio: ', a/b)\n", "\n", " print('#'*10)\n", " # number of Abeta+ subjects in HPC-AD\n", " a = dataframe[dataframe.f_hpc==1]['%s'%voi].sum()\n", " print('number of subjects with VOI in HPC-AD: ', a)\n", "\n", " # total number of HPC-AD subjects with amyloid data\n", " b = len(dataframe[(pd.notnull(dataframe['%s'%voi]) & (dataframe.f_hpc==1))])\n", " print('total number of HPC-AD subjects with VOI data: ', b)\n", "\n", " print('ratio: ', a/b)\n", "\n", " print('#'*10)\n", " # number of Abeta+ subjects in Non-HPC+\n", " a = dataframe[dataframe.f_s1_only==1]['%s'%voi].sum()\n", " print('number of subjects with VOI in Non-HPC+: ', a)\n", "\n", " # total number of Non-HPC+ with amyloid data\n", " b = len(dataframe[(pd.notnull(dataframe['%s'%voi]) & (dataframe.f_s1_only==1))])\n", " print('total number of Non-HPC+ with VOI data: ', b)\n", "\n", " print('ratio: ', a/b)\n", "\n", " print('#'*10)\n", " # number of Abeta+ subjects in negative subjects\n", " a = dataframe[dataframe.f_neg==1]['%s'%voi].sum()\n", " print('number of subjects with VOI in negative subjects: ', a)\n", "\n", " # total number of negative subjects with amyloid data\n", " b = len(dataframe[(pd.notnull(dataframe['%s'%voi]) & (dataframe.f_neg==1))])\n", " print('total number of negative subjects with VOI data', b)\n", "\n", " print('ratio: ', a/b)" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def chi2_fn(dataframe, voi):\n", " \n", " neg = dataframe[dataframe.flag_status == 'Negative']['%s'%voi].dropna()\n", " pos = dataframe[dataframe.flag_status == 'Non-HPS+']['%s'%voi].dropna()\n", " pos_hpc = dataframe[dataframe.flag_status == 'HPS+']['%s'%voi].dropna()\n", " data = {'%s'%voi: ['-','+'],\n", " 'Negative': [len(neg)-sum(neg), sum(neg)],\n", " 'Non-HPS+': [len(pos)-sum(pos), sum(pos)],\n", " 'HPS+': [len(pos_hpc)-sum(pos_hpc), sum(pos_hpc)]}\n", " df = pd.DataFrame(data, columns={'%s'%voi, 'Negative', 'Non-HPS+', 'HPS+'})\n", " obs = df.as_matrix(columns=['Negative', 'Non-HPS+', 'HPS+'])\n", " chi2, p, dof, exf = scipy.stats.chi2_contingency(obs)\n", " print('observed freq: ')\n", " print(obs)\n", " print('Chi2: ', chi2)\n", " print('p value: ', p)\n", " print('degress of freedom: ', dof)\n", " print('expected freq: ')\n", " print(exf)\n", " \n", " return df" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def hpc_pie(df, voi, filename):\n", " plt.close()\n", " fig, (ax1, ax2, ax3) = plt.subplots(1,3, figsize=(14,6))\n", " ax1.pie(df['Negative'], labels=df['%s'%voi],autopct='%1.1f%%',startangle=90)\n", " ax1.set_title('Negatives')\n", " ax1.set(adjustable='box-forced', aspect='equal')\n", " ax2.pie(df['Non-HPS+'], labels=df['%s'%voi],autopct='%1.1f%%',startangle=90)\n", " ax2.set_title('Non-HPS+')\n", " ax2.set(adjustable='box-forced', aspect='equal')\n", " ax3.pie(df['HPS+'], labels=df['%s'%voi],autopct='%1.1f%%',startangle=90)\n", " ax3.set_title('HPS+')\n", " ax3.set(adjustable='box-forced', aspect='equal')\n", " plt.show()\n", " fig.savefig(filename)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def anova_hpc(df, voi, ymin, ymax, filename):\n", " #sns.set_style('white')\n", " neg = df[df.flag_status == 'Negative'][\"%s\"%voi].dropna()\n", " pos = df[df.flag_status == 'Non-HPS+'][\"%s\"%voi].dropna()\n", " pos_hpc = df[df.flag_status == 'HPS+'][\"%s\"%voi].dropna()\n", " f, p = scipy.stats.f_oneway(neg,pos,pos_hpc)\n", " # boxplot of weights across groups\n", " x_order = ['Negative','Non-HPS+', 'HPS+']\n", " # set figure size\n", " fig, ax = plt.subplots()\n", " fig.set_size_inches(11.7, 8.27)\n", " sns.boxplot(x=\"flag_status\", y=\"%s\"%voi, data=df, fliersize=0, order=x_order, palette='Greys')\n", " sns.swarmplot(x=\"flag_status\",y=\"%s\"%voi,data=df, color=\"0.2\", size=6, order=x_order)\n", " plt.ylim(ymin, ymax)\n", " plt.show()\n", " fig.savefig(filename)\n", " print('ANOVA F: ', f)\n", " print('p value: ', p)\n", " \n", " # do pairwise post hoc tests\n", " tmp_df = df.dropna(axis=0, how='any', subset=['%s'%voi])\n", " print(pairwise_tukeyhsd(tmp_df['%s'%voi], tmp_df['flag_status']))" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def anova_hpc_split(df, voi, ymin, ymax, grp1, grp2, filename):\n", " #sns.set_style('white') \n", " neg1 = df[df.flag_dx == '%s-'%grp1][\"%s\"%voi].dropna()\n", " pos1 = df[df.flag_dx == '%s+'%grp1][\"%s\"%voi].dropna()\n", " pos_hpc1 = df[df.flag_dx == 'HPS+ %s'%grp1][\"%s\"%voi].dropna()\n", " \n", " neg2 = df[df.flag_dx == '%s-'%grp2][\"%s\"%voi].dropna()\n", " pos2 = df[df.flag_dx == '%s+'%grp2][\"%s\"%voi].dropna()\n", " pos_hpc2 = df[df.flag_dx == 'HPS+ %s'%grp2][\"%s\"%voi].dropna()\n", " \n", " f, p = scipy.stats.f_oneway(neg1,pos1,pos_hpc2,neg2,pos2,pos_hpc1)\n", " # boxplot of weights across groups\n", " x_order = ['%s-'%grp1, '%s+'%grp1, 'HPS+ %s'%grp1,'%s-'%grp2, '%s+'%grp2, 'HPS+ %s'%grp2]\n", " # set figure size\n", " fig, ax = plt.subplots()\n", " fig.set_size_inches(11.7, 8.27)\n", " sns.boxplot(x=\"flag_dx\", y=\"%s\"%voi, data=df, fliersize=0, order=x_order)\n", " sns.swarmplot(x=\"flag_dx\",y=\"%s\"%voi,data=df, color=\"0.2\", size=5, edgecolor='gray', order=x_order)\n", " plt.ylim(ymin, ymax)\n", " plt.show()\n", " fig.savefig(filename)\n", " print('ANOVA F: ', f)\n", " print('p value: ', p)\n", " \n", " # do pairwise post hoc tests\n", " #mask = df.loc[:,['%s'%grp1,'%s'%grp2]].values.sum(1).astype(bool)\n", " #m_df = df.iloc[mask]\n", " tmp_df = df.dropna(axis=0, how='any', subset=['%s'%voi])\n", " print(pairwise_tukeyhsd(tmp_df['%s'%voi], tmp_df['flag_dx']))" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": true }, "outputs": [], "source": [ "sns.set(font_scale=3)\n", "sns.set_style(\"white\")\n", "#sns.set_context(\"paper\")\n", "#sns.set_palette(\"colorblind\")\n", "#sns.set_palette(\"GnBu_d\")\n", "\n", "#sns.set_palette(sns.cubehelix_palette(n_colors=8))\n", "#sns.set_palette(sns.color_palette(\"BrBG\", 6))\n", "\n", "cpal = [\"#F0DFB2\", \"#CFA255\", \"#995D12\", \"#B3E2DB\", \"#58B0A6\", \"#0D7068\"]\n", "sns.set_palette(cpal)\n" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": true }, "outputs": [], "source": [ "path_results = '/Users/AngelaTam/Desktop/adsf/adni1_vbm_adcn_subtypes_20171209/7clus/figures_final/'" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": true }, "outputs": [], "source": [ "np.random.seed(1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Load longitudinal data for everyone " ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/AngelaTam/anaconda3/lib/python3.5/site-packages/IPython/core/interactiveshell.py:2698: DtypeWarning: Columns (101) have mixed types. Specify dtype option on import or set low_memory=False.\n", " interactivity=interactivity, compiler=compiler, result=result)\n" ] } ], "source": [ "long_data = pd.read_csv('/Users/AngelaTam/Desktop/adsf/adni_csv/adnimerge_upenn_unw_av45_neurobat.csv')" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# keep only up to 36 month follow-up\n", "long_data.drop(long_data[(long_data.Month > 37)].index, inplace=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Load data for the training set (ADNI1)" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": true }, "outputs": [], "source": [ "data = pd.read_csv('/Users/AngelaTam/Desktop/adsf/adni1_vbm_adcn_subtypes_20171209/7clus/adni1_model_weights.csv')" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": true }, "outputs": [], "source": [ "data.dropna(subset=['sub1','age_scan','gender','mean_gm','tiv'],inplace=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Organize the AD & CN data for classification task" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": true, "scrolled": true }, "outputs": [], "source": [ "# Mask of the CN and AD subjects only\n", "mask_cnad = data.loc[:,['CN','AD']].values.sum(1).astype(bool)" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "((377, 11), (377,), (377, 4))" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "#reload(high_confidence)\n", "scalerX = preprocessing.StandardScaler()\n", "scaler = preprocessing.StandardScaler()\n", "\n", "x_ = data.iloc[mask_cnad,data.columns.get_loc(\"sub1\"):data.columns.get_loc(\"sub7\")+1].values\n", "#x_ = scalerX.fit_transform(x_)\n", "y_ = data[['AD']].values.ravel()[mask_cnad]\n", "\n", "confounds = data[['gender','age_scan','mean_gm','tiv']].values[mask_cnad,:]\n", "#confounds = data[['sex','age_r']].values[mask_cnad,:]\n", "#confounds[:, 1:] = scaler.fit_transform(confounds[:, 1:])\n", "#confounds[:, 0] = preprocessing.binarize(confounds[:, 0].reshape(-1, 1), threshold=1)[:, 0]\n", "\n", "#crm = prediction.ConfoundsRm(confounds, x_)\n", "#x_ = crm.transform(confounds, x_)\n", "\n", "x_ = scaler.fit_transform(np.hstack((x_,confounds)))\n", "#x_ = np.hstack((x_,confounds))\n", "\n", "\n", "x_.shape, y_.shape, confounds.shape" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Cross-validation HPC in ADNI1 AD & CN" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "scrolled": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Stage 1\n", "Proba:\n", "[ 0.9957265 1. 1. 1. 1. 0.65254237\n", " 0.98380567 0.50746269 1. 1. 0.56818182 1. 1.\n", " 1. 0.93589744 1. 0.99574468 0.71814672 1. 1.\n", " 0.04918033 0.98333333 1. 0.88416988 0.608 0.92828685\n", " 1. 1. 1. 1. 0.996 0.99607843\n", " 1. 1. 1. 0.996139 0.85470085 0.31746032\n", " 0.76377953 1. 1. 0.69635628 1. 1. 1.\n", " 0.99607843 0.98297872 1. 1. 1. 1.\n", " 0.56097561 0. 0.61111111 1. 0.94466403 1.\n", " 0.99239544 0.98 1. 0.99596774 1. 0.93495935\n", " 1. 1. 0.99193548 1. 1. 0.96186441\n", " 0.85098039 1. 1. 1. 0.63559322 1.\n", " 0.99618321 1. 1. 1. 1. 0.94023904\n", " 1. 1. 0.89105058 0.99595142 1. 0. 1.\n", " 1. 0.77205882 1. 1. 0.01321586 1. 1.\n", " 0.96875 0.48015873 0.8828125 0. 1. 0.9057377 1.\n", " 1. 1. 0.57377049 1. 1. 0.53648069\n", " 1. 0. 0. 1. 0.78731343 0.98431373\n", " 0.12809917 0.98181818 0. 1. 0.97131148 0.99256506\n", " 0.73151751 1. 0.12195122 1. 0.71369295 1.\n", " 0.95217391 1. 1. 0.99603175 0.84063745 0.96590909\n", " 1. 1. 0.65560166 1. 0.94163424 1. 1.\n", " 1. 0.07364341 1. 1. 0.14007782 1.\n", " 0.84680851 1. 0. 0. 1. 0.92369478\n", " 1. 0.94676806 0.60869565 0.99616858 1. 0.94402985\n", " 1. 1. 1. 1. 0.72 0.83613445\n", " 0. 1. 1. 0.06273063 0.34920635 0.33962264\n", " 0.02380952 1. 1. 0. 1. 1. 1.\n", " 1. 1. 1. 0.95983936 0.33807829 1. 1.\n", " 0.99107143 0. 1. 1. 1. 1.\n", " 0.95850622 1. 0. 0.98333333 0.75502008 1. 1.\n", " 0.34412955 0.996 0.49795918 1. 1. 0.99206349\n", " 1. 0. 1. 0.95081967 0.99078341 1. 1.\n", " 0.53781513 0.30125523 1. 0.82 1. 1.\n", " 0.99598394 0. 1. 1. 0.36821705 1.\n", " 0.24701195 0.64453125 1. 0.00406504 1. 0.72177419\n", " 0.01581028 0.02996255 0.49797571 1. 0.03614458 1. 1.\n", " 0.6872428 0.08527132 1. 1. 1. 1. 1.\n", " 1. 0.91774892 0.05952381 0.97942387 1. 0.99156118\n", " 1. 0.06866953 0.01153846]\n", "Average hm score 0.516\n", "Stage 2\n", "Adjusted gamma: 1.0\n", "Adjusted gamma: 1.0\n", "Classifying AD vs CN...\n", "[ 0. 0. 1. 0. 1. 0. 0. 0. 1. 0. 0. 0. 1. 0. 0. 0. 0. 0.\n", " 1. 0. 0. 0. 0. 0. 0. 0. 1. 0. 1. 0. 0. 1. 1. 1. 1. 0.\n", " 0. 0. 1. 1. 1. 0. 0. 0. 1. 1. 0. 0. 1. 0. 1. 0. 1. 1.\n", " 0. 0. 0. 0. 0. 0. 0. 0. 0. 1. 0. 0. 1. 1. 0. 0. 1. 1.\n", " 0. 1. 0. 0. 0. 0. 0. 0. 1. 0. 0. 1. 0. 0. 0. 1. 0. 0.\n", " 0. 0. 0. 0. 0. 1. 0. 0. 0. 1. 1. 1. 1. 0. 1. 0. 0. 1.\n", " 0. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1.\n", " 1.]\n", "Total number of TARGET subjects: 58.0\n", "Total number of NON-TARGET subjects: 69.0\n", "Stage 1 number of hits (true and false positives): 54.0\n", "Stage 1 TRUE positives: 49.0\n", "Stage 1 FALSE positives: 5.0\n", "Stage 1 TRUE negatives: 64.0\n", "Total number of flagged HPC-AD subjects: 35.0\n", "Number of flagged HPC-AD subjects that are TRUE positives: 33.0\n", "Number of flagged HPC-AD subjects that are FALSE positives: 2.0\n", "Number of true negatives: 67.0\n", "#############################\n", "Stage 1 stats for TARGET vs NON-TARGET\n", "Precision for AD: 0.907407407407\n", "Recall (or sensitivity) for AD: 0.844827586207\n", "Specificity: 0.927536231884\n", "Adjusted precision for 33.6% baseline rate: 0.8550628643\n", "Accuracy: 0.889763779528\n", "#############################\n", "Stage 2 stats for TARGET vs NON-TARGET\n", "Precision for HPC-AD: 0.942857142857\n", "Recall (or sensitivity) for HPC-AD: 0.568965517241\n", "Specificity: 0.971014492754\n", "Adjusted precision for 33.6% baseline rate: 0.908532993863\n", "Accuracy: 0.787401574803\n", "Stage 1\n", "Proba:\n", "[ 0.89344262 1. 1. 1. 0.97692308 1. 1.\n", " 1. 0. 1. 0.16595745 0.9958159 0.97131148\n", " 0.99619772 1. 0.99206349 1. 1. 1.\n", " 0.96047431 1. 1. 0.99193548 1. 1. 1.\n", " 0. 1. 1. 0. 1. 0.47881356\n", " 1. 0.57429719 1. 1. 1. 0.13168724\n", " 1. 1. 0.30327869 1. 0.99621212 0.97142857\n", " 1. 1. 0.79475983 1. 0. 1. 1.\n", " 1. 1. 1. 0.00396825 1. 0.\n", " 0.83461538 0.4488189 0.36051502 1. 0.99619772 1. 1.\n", " 0.83529412 1. 1. 0.97285068 1. 1.\n", " 0.64092664 0.62645914 0.89772727 1. 0.5 0.81974249\n", " 1. 1. 1. 1. 0.98876404 1. 1.\n", " 1. 0.92622951 1. 0.04615385 0.66666667 1. 1.\n", " 1. 0.69402985 0.98380567 0.86343612 0.99212598 1. 1.\n", " 0. 1. 0.68060837 1. 1. 1. 1.\n", " 1. 1. 1. 1. 0. 1. 1.\n", " 1. 1. 1. 1. 0.98832685 1. 1.\n", " 1. 0.99622642 1. 0.96414343 1. 1. 1.\n", " 0.94444444 1. 1. 0.06589147 0.99586777 0.96282528\n", " 1. 1. 1. 1. 1. 0.93927126\n", " 0.16393443 1. 0.95149254 0.99598394 0.94067797 1. 1.\n", " 0.98406375 1. 1. 1. 0.94537815 1. 1.\n", " 1. 1. 1. 1. 1. 0.23420074\n", " 1. 0.87763713 1. 1. 0.88211382 0.93076923\n", " 1. 1. 1. 1. 0.54471545 0.01612903\n", " 0.32283465 0.31983806 0.00904977 1. 1. 0. 1.\n", " 0.99609375 1. 1. 1. 1. 0.83805668\n", " 0.1124498 1. 1. 1. 0. 1. 1.\n", " 1. 1. 0.97008547 1. 0. 1.\n", " 0.84814815 1. 1. 0.31538462 0.99618321 0.55947137\n", " 1. 1. 0.95884774 1. 0.00398406 1.\n", " 0.81960784 1. 1. 1. 0.28740157 0.79919679\n", " 1. 0.61445783 1. 1. 1. 0. 1.\n", " 1. 0.15352697 1. 0.79051383 0.66932271 1.\n", " 0.00403226 1. 0.67460317 0.00803213 0.08695652 0.46946565\n", " 1. 0.01893939 1. 0.99209486 0.42696629 0.1547619 1.\n", " 1. 1. 0.99588477 1. 1. 0.67068273\n", " 0.00403226 1. 1. 0.890625 1. 0.02553191\n", " 0.07083333]\n", "Average hm score 0.59126984127\n", "Stage 2\n", "Adjusted gamma: 1.0\n", "Adjusted gamma: 1.0\n", "Classifying AD vs CN...\n", "[ 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 1. 0. 0. 0. 0. 0. 0. 0.\n", " 0. 0. 1. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.\n", " 0. 1. 0. 0. 1. 0. 0. 1. 0. 1. 0. 0. 0. 1. 0. 0. 1. 1.\n", " 1. 0. 0. 1. 0. 0. 1. 0. 0. 0. 0. 0. 1. 0. 0. 0. 1. 1.\n", " 0. 1. 1. 0. 1. 0. 1. 1. 0. 1. 0. 1. 0. 1. 1. 0. 1. 1.\n", " 1. 1. 0. 1. 0. 1. 1. 1. 0. 1. 1. 0. 0. 1. 1. 0. 0. 0.\n", " 1. 1. 1. 1. 1. 0. 0. 0. 1. 1. 1. 1. 1. 1. 0. 1. 1.]\n", "Total number of TARGET subjects: 57.0\n", "Total number of NON-TARGET subjects: 68.0\n", "Stage 1 number of hits (true and false positives): 49.0\n", "Stage 1 TRUE positives: 44.0\n", "Stage 1 FALSE positives: 5.0\n", "Stage 1 TRUE negatives: 63.0\n", "Total number of flagged HPC-AD subjects: 32.0\n", "Number of flagged HPC-AD subjects that are TRUE positives: 31.0\n", "Number of flagged HPC-AD subjects that are FALSE positives: 1.0\n", "Number of true negatives: 67.0\n", "#############################\n", "Stage 1 stats for TARGET vs NON-TARGET\n", "Precision for AD: 0.897959183673\n", "Recall (or sensitivity) for AD: 0.771929824561\n", "Specificity: 0.926470588235\n", "Adjusted precision for 33.6% baseline rate: 0.841580776726\n", "Accuracy: 0.856\n", "#############################\n", "Stage 2 stats for TARGET vs NON-TARGET\n", "Precision for HPC-AD: 0.96875\n", "Recall (or sensitivity) for HPC-AD: 0.543859649123\n", "Specificity: 0.985294117647\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Adjusted precision for 33.6% baseline rate: 0.949274663064\n", "Accuracy: 0.784\n", "Stage 1\n", "Proba:\n", "[ 0.28688525 0.99603175 1. 1. 0.91153846 1.\n", " 0.99579832 0.86521739 0.0112782 1. 0.28085106 0.9874477\n", " 0.99590164 0.90114068 1. 0.8968254 1. 1.\n", " 0.98846154 1. 1. 0.94117647 0.93951613 1.\n", " 0.97482014 1. 0. 0.92857143 1. 0. 1.\n", " 0.8559322 1. 0.21285141 1. 1. 0.99206349\n", " 0.22222222 1. 1. 0.13114754 1. 1. 0.9755102\n", " 1. 1. 0.99563319 1. 0. 1. 1.\n", " 1. 0.98367347 1. 0.05555556 0.94849785 0.01298701\n", " 0.99615385 0.14173228 0.3776824 1. 0.40304183 1. 1.\n", " 0.90588235 1. 1. 1. 1. 1.\n", " 0.96911197 0.91828794 0.67424242 1. 0.64344262 0.89699571\n", " 1. 1. 1. 1. 0.99625468 1. 1.\n", " 1. 0.97540984 1. 0.26538462 0.58634538 1. 1.\n", " 1. 0.76865672 0.65991903 0.66079295 1. 0.98319328\n", " 1. 0. 1. 0.9391635 1. 1. 1.\n", " 1. 1. 0.88715953 1. 1. 1. 1.\n", " 0. 1. 1. 1. 1. 1. 1.\n", " 1. 1. 0.82462687 1. 0.75769231 1. 1.\n", " 0.96108949 1. 0.6147541 1. 0.99626866 1. 1.\n", " 0.96610169 0.99621212 1. 0.99595142 1. 0.86055777\n", " 1. 0.99622642 1. 0.03658537 1. 1.\n", " 0.97609562 1. 0.97254902 0.77642276 0.98387097 1. 1.\n", " 1. 1. 1. 0.8697318 0.99148936 1. 1.\n", " 1. 1. 1. 1. 1. 0.83817427\n", " 1. 0.10638298 0.7944664 1. 0.99596774 0.91056911\n", " 1. 1. 0.98867925 1. 0.90566038 1. 1.\n", " 1. 1. 0.72373541 0. 0.75510204 1.\n", " 0.93133047 1. 0.99601594 0.99236641 0.99559471 1. 1.\n", " 0.99176955 1. 1. 0.97286822 1. 1.\n", " 0.91566265 0.92083333 1. 1. 1. 0.87916667\n", " 1. 0.92105263 1. 1. 1. 1.\n", " 0.93145161 1. 1. 0.85355649 0.99642857 1. 0.\n", " 1. 1. 0.94615385 0.94583333 1. 0.04780876\n", " 0.98431373 0. 1. 0.87692308 1. 0.25403226\n", " 0.16141732 1. 0. 0. 1. 1. 0.\n", " 0.56818182 0.80566802 1. 0.93632959 0.76190476 1. 1.\n", " 0.03149606 0. 0.00408163 1. 0.91967871 0.94354839\n", " 1. 1. 0.9140625 0. 1. 1. ]\n", "Average hm score 0.543650793651\n", "Stage 2\n", "Adjusted gamma: 1.0\n", "Adjusted gamma: 1.0\n", "Classifying AD vs CN...\n", "[ 0. 1. 0. 0. 0. 0. 0. 0. 0. 1. 1. 0. 0. 0. 1. 0. 0. 0.\n", " 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 1.\n", " 0. 0. 0. 0. 0. 0. 0. 0. 1. 1. 1. 0. 0. 1. 0. 1. 0. 0.\n", " 1. 1. 1. 1. 0. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 0. 1.\n", " 0. 1. 0. 1. 0. 0. 0. 1. 1. 0. 0. 1. 0. 1. 0. 1. 1. 0.\n", " 1. 1. 1. 1. 0. 0. 0. 1. 1. 0. 0. 1. 0. 1. 1. 0. 0. 1.\n", " 1. 0. 0. 1. 1. 1. 1. 1. 1. 1. 0. 1. 1. 1. 1. 0. 0.]\n", "Total number of TARGET subjects: 57.0\n", "Total number of NON-TARGET subjects: 68.0\n", "Stage 1 number of hits (true and false positives): 56.0\n", "Stage 1 TRUE positives: 44.0\n", "Stage 1 FALSE positives: 12.0\n", "Stage 1 TRUE negatives: 56.0\n", "Total number of flagged HPC-AD subjects: 35.0\n", "Number of flagged HPC-AD subjects that are TRUE positives: 30.0\n", "Number of flagged HPC-AD subjects that are FALSE positives: 5.0\n", "Number of true negatives: 63.0\n", "#############################\n", "Stage 1 stats for TARGET vs NON-TARGET\n", "Precision for AD: 0.785714285714\n", "Recall (or sensitivity) for AD: 0.771929824561\n", "Specificity: 0.823529411765\n", "Adjusted precision for 33.6% baseline rate: 0.688811418799\n", "Accuracy: 0.8\n", "#############################\n", "Stage 2 stats for TARGET vs NON-TARGET\n", "Precision for HPC-AD: 0.857142857143\n", "Recall (or sensitivity) for HPC-AD: 0.526315789474\n", "Specificity: 0.926470588235\n", "Adjusted precision for 33.6% baseline rate: 0.783646590753\n", "Accuracy: 0.744\n" ] } ], "source": [ "scores_ad_cn=[]\n", "scores_s2 = []\n", "ad_precision = []\n", "cn_precision = []\n", "ad_recall = []\n", "cn_recall = []\n", "ad_f1_score = []\n", "cn_f1_score = []\n", "\n", "s1_spec = []\n", "s1_sens = []\n", "s1_prec = []\n", "s1_acc = []\n", "\n", "s2_spec = []\n", "s2_sens = []\n", "s2_prec = []\n", "s2_acc = []\n", "\n", "skf = StratifiedKFold(n_splits=3)\n", "for train_index, val_index in skf.split(x_,y_):\n", " X_training, X_val = x_[train_index], x_[val_index]\n", " y_training, y_val = y_[train_index], y_[val_index]\n", " \n", " hpc = high_confidence_at.TwoStagesPrediction(\n", " n_iter=500,\n", " shuffle_test_split=0.5,\n", " min_gamma=.99,\n", " thresh_ratio=0.1)\n", " \n", " hpc.fit(X_training, X_training, y_training)\n", " \n", " _, dic_results = hpc.predict(X_val, X_val)\n", " \n", " # test in validation sample\n", " acc = metrics.accuracy_score(y_val, (dic_results['s1df'][:,0]>0).astype(float))\n", " tmp_mask = (dic_results['s2df'][:,1]>0)\n", " acc_s2 = metrics.accuracy_score(y_val[tmp_mask], (dic_results['s1df'][:,0]>0).astype(float)[tmp_mask])\n", " scores_ad_cn.append(acc)\n", " scores_s2.append(acc_s2)\n", " print('Classifying AD vs CN...')\n", " print((dic_results['s1df'][:,0]>0).astype(float))\n", " \n", " y_pred = (dic_results['s1df'][:,0]>0).astype(float)\n", " lr_decision = dic_results['s2df'][:,1]\n", " \n", " ad_p = metrics.precision_score(y_val, y_pred)\n", " ad_precision.append(ad_p)\n", " cn_p = metrics.precision_score(y_val, y_pred, pos_label=0)\n", " cn_precision.append(cn_p)\n", " ad_r = metrics.recall_score(y_val, y_pred)\n", " ad_recall.append(ad_r)\n", " cn_r = metrics.recall_score(y_val, y_pred, pos_label=0)\n", " cn_recall.append(cn_r)\n", " ad_f1 = metrics.f1_score(y_val, y_pred)\n", " ad_f1_score.append(ad_f1)\n", " cn_f1 = metrics.f1_score(y_val, y_pred, pos_label=0)\n", " cn_f1_score.append(cn_f1)\n", " \n", " sens, spec, prec, acc, sens_2, spec_2, prec_2, acc_2 = predic_stats(y_val, y_pred, lr_decision)\n", " s1_spec.append(spec)\n", " s1_sens.append(sens)\n", " s1_prec.append(prec)\n", " s1_acc.append(acc)\n", " s2_spec.append(spec_2)\n", " s2_sens.append(sens_2)\n", " s2_prec.append(prec_2)\n", " s2_acc.append(acc_2)" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Stage 1\n", "Mean sensitivity: 0.796229078443\n", "Mean specificity: 0.892512077295\n", "Mean precision: 0.863693625598\n", "Mean accuracy: 0.848587926509\n", "##########\n", "Stage 2\n", "Mean sensitivity: 0.546380318613\n", "Mean specificity: 0.960926399545\n", "Mean precision: 0.922916666667\n", "Mean accuracy: 0.771800524934\n" ] } ], "source": [ "print('Stage 1')\n", "print('Mean sensitivity: ', np.mean(s1_sens))\n", "print('Mean specificity: ', np.mean(s1_spec))\n", "print('Mean precision: ', np.mean(s1_prec))\n", "print('Mean accuracy: ', np.mean(s1_acc))\n", "print('#'*10)\n", "print('Stage 2')\n", "print('Mean sensitivity: ', np.mean(s2_sens))\n", "print('Mean specificity: ', np.mean(s2_spec))\n", "print('Mean precision: ', np.mean(s2_prec))\n", "print('Mean accuracy: ', np.mean(s2_acc))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Train HPC (on whole training set of ADNI1 AD & CN)" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "scrolled": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Stage 1\n", "Proba:\n", "[ 0.648 1. 1. 1. 0.99212598 1. 1.\n", " 1. 0. 1. 0.26217228 1. 1.\n", " 0.99588477 1. 1. 1. 1. 1.\n", " 0.99628253 1. 1. 1. 1. 1. 1.\n", " 0. 1. 1. 0. 1. 0.7375 1.\n", " 0.54585153 1. 1. 1. 0.1259542 1. 1.\n", " 0.16862745 1. 1. 1. 1. 1.\n", " 0.97154472 1. 0. 1. 1. 1. 1.\n", " 1. 0. 1. 0. 0.99596774 0.29296875\n", " 0.3372093 1. 0.97021277 1. 1. 0.9280303 1.\n", " 1. 1. 1. 1. 0.87951807 0.856\n", " 0.89112903 1. 0.67901235 0.93233083 1. 1. 1.\n", " 1. 1. 1. 1. 1. 0.9921875 1.\n", " 0.09745763 0.72962963 1. 1. 1. 0.79400749\n", " 0.95850622 0.91304348 1. 1. 1. 0. 1.\n", " 0.81818182 1. 1. 1. 1. 1. 1.\n", " 1. 1. 1. 1. 0. 1. 1.\n", " 1. 1. 1. 1. 1. 1.\n", " 0.74678112 1. 0.79607843 1. 1. 0.99593496\n", " 1. 0.43534483 1. 1. 1. 1.\n", " 0.96603774 1. 1. 1. 1. 0.85483871\n", " 1. 1. 1. 0.01960784 1. 1.\n", " 0.99603175 1. 0.87209302 0.75510204 0.97744361 1. 1.\n", " 1. 1. 1. 1. 1. 1. 1.\n", " 1. 1. 1. 1. 1. 0.84552846\n", " 1. 0.20564516 0.65587045 1. 1. 0.83461538\n", " 1. 1. 1. 1. 1. 1. 1.\n", " 1. 1. 0.50413223 0. 0.63424125 1.\n", " 0.98867925 1. 1. 0.99134199 1. 1. 1.\n", " 0.99607843 1. 1. 1. 1. 1.\n", " 0.96414343 0.98818898 1. 1. 1. 0.51405622\n", " 1. 0.99583333 1. 1. 1. 1.\n", " 0.96934866 1. 1. 0.83984375 1. 1. 0.\n", " 1. 1. 0.976 1. 1. 0.00826446\n", " 1. 1. 0.98425197 0.3619403 0.85258964 0. 1.\n", " 0.93145161 1. 1. 1. 0.3385214 1. 1.\n", " 0.51818182 1. 0. 0. 1. 0.96832579\n", " 1. 0.04958678 1. 0. 1. 1. 1.\n", " 0.86746988 1. 0.09311741 1. 0.49382716 1.\n", " 0.99212598 1. 1. 0.99578059 0.78688525 0.99245283\n", " 1. 1. 0.8245614 0.99606299 0.99264706 1. 1.\n", " 1. 0. 1. 1. 0.27799228 1.\n", " 0.96666667 1. 0. 0. 1. 0.98418972\n", " 1. 0.99616858 0.6798419 1. 1. 0.96484375\n", " 1. 1. 1. 1. 0.54661017 0.88256228\n", " 0. 1. 1. 0. 0.29296875 0.33744856\n", " 0. 1. 1. 0. 1. 1. 1.\n", " 1. 1. 1. 0.93442623 0.22131148 1. 1.\n", " 1. 0. 1. 1. 1. 1. 1.\n", " 1. 0. 0.99224806 0.82113821 1. 1.\n", " 0.11788618 0.99607843 0.59848485 1. 1. 0.99606299\n", " 1. 0. 1. 0.95419847 1. 1. 1.\n", " 0.67636364 0.70916335 1. 0.85714286 1. 1. 1.\n", " 0. 1. 1. 0.42857143 1. 0.59656652\n", " 0.90039841 1. 0. 1. 0.87795276 0.00727273\n", " 0.01132075 0.45864662 1. 0.01239669 1. 1.\n", " 0.40377358 0.03292181 1. 1. 1. 1. 1.\n", " 1. 0.89767442 0. 1. 1. 0.9921875 1.\n", " 0.0334728 0.0125 ]\n", "Average hm score 0.63925729443\n", "Stage 2\n", "Adjusted gamma: 1.0\n", "Adjusted gamma: 1.0\n" ] } ], "source": [ "#reload(high_confidence)\n", "hpc = high_confidence_at.TwoStagesPrediction(\n", " n_iter=500,\n", " shuffle_test_split=0.5,\n", " min_gamma=.99,\n", " thresh_ratio=0.1)\n", "\n", "hpc.fit(x_, x_, y_)" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Level 1\n", "------------------------\n", "Ratio: 1.0\n", "# : 172.0\n", "# true values: 377\n", "ACC : 0.864721485411\n", "Level 2\n", "------------------------\n", "Ratio: 0.622093023256\n", "# : 107.0\n", "# true values: 114\n", "ACC : 0.938596491228\n" ] } ], "source": [ "array_results, dic_results = hpc.predict(x_, x_)\n", "\n", "# Level 1\n", "print('Level 1')\n", "stats_mask(y_, (dic_results['s1df'][:,0]>0).astype(float))\n", "\n", "print('Level 2')\n", "stats_mask(y_, (dic_results['s1df'][:,0]>0).astype(float), dic_results['s2df'][:,1]>0)\n", "#stats_mask(dic_results['s2df'][:,2]>0)\n", "#stats_mask(dic_results['s2df'][:,3]>0)" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[ 3.97549188, 1.70953522, -1.45423364, 0.31985473, 0. ,\n", " 4.87282972, -0.24512667, -0.61703201, -1.23870659, -5.07100191,\n", " 2.58010883]])" ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" } ], "source": [ "hpc.confidencemodel.clfs[1].coef_" ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# plot weights from the model\n", "w_df = pd.DataFrame(data=np.transpose(hpc.confidencemodel.clfs[1].coef_),columns=['Coefficient'])\n", "w_df['Factor'] = ['VBM 1','VBM 2','VBM 3','VBM 4','VBM 5','VBM 6','VBM 7',\n", " 'sex','age','GMV','TIV']" ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "scrolled": true }, "outputs": [ { "data": { "image/png": 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AAACwEQIAAAAAYCMEAAAAAMBGCAAAAACAjRAAAAAAABshAAAAAAA2QgAAAAAAbIQAAAAA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\nvvnmm1anA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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#sns.set(font_scale=2)\n", "#sns.set_style('white')\n", "fig, ax = plt.subplots()\n", "fig.set_size_inches(11.7, 8.27)\n", "\n", "#fig,ax = plt.subplots(figsize=(11.7, 8.27))\n", "sns.factorplot(ax=ax, y='Coefficient', x='Factor', data=w_df, kind='bar', palette=\"Greys_d\")\n", "#ax.set_xticklabels(rotation=50)\n", "for item in ax.get_xticklabels():\n", " item.set_rotation(50)\n", "ax.set_ylim(-8,8)\n", "plt.close()\n", "plt.show()\n", "fig.savefig(path_results + 'weights_model.pdf',bbox_inches='tight')" ] }, { "cell_type": "code", "execution_count": 28, "metadata": { "collapsed": true }, "outputs": [], "source": [ "y_pred = (dic_results['s1df'][:,0]>0).astype(float)\n", "lr_decision = dic_results['s2df'][:,1]" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Stage 1 stats for AD vs CN\n", " precision recall f1-score support\n", "\n", " 0.0 0.85 0.91 0.88 205\n", " 1.0 0.88 0.81 0.85 172\n", "\n", "avg / total 0.87 0.86 0.86 377\n", "\n" ] } ], "source": [ "print('Stage 1 stats for AD vs CN')\n", "print(metrics.classification_report(y_, y_pred))" ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Total number of TARGET subjects: 172.0\n", "Total number of NON-TARGET subjects: 205.0\n", "Stage 1 number of hits (true and false positives): 159.0\n", "Stage 1 TRUE positives: 140.0\n", "Stage 1 FALSE positives: 19.0\n", "Stage 1 TRUE negatives: 186.0\n", "Total number of flagged HPC-AD subjects: 114.0\n", "Number of flagged HPC-AD subjects that are TRUE positives: 107.0\n", "Number of flagged HPC-AD subjects that are FALSE positives: 7.0\n", "Number of true negatives: 198.0\n", "#############################\n", "Stage 1 stats for TARGET vs NON-TARGET\n", "Precision for AD: 0.880503144654\n", "Recall (or sensitivity) for AD: 0.813953488372\n", "Specificity: 0.907317073171\n", "Adjusted precision for 33.6% baseline rate: 0.816310498671\n", "Accuracy: 0.864721485411\n", "#############################\n", "Stage 2 stats for TARGET vs NON-TARGET\n", "Precision for HPC-AD: 0.938596491228\n", "Recall (or sensitivity) for HPC-AD: 0.622093023256\n", "Specificity: 0.965853658537\n", "Adjusted precision for 33.6% baseline rate: 0.902142769011\n", "Accuracy: 0.809018567639\n" ] }, { "data": { "text/plain": [ "(0.81395348837209303,\n", " 0.90731707317073174,\n", " 0.88050314465408808,\n", " 0.86472148541114058,\n", " 0.62209302325581395,\n", " 0.96585365853658534,\n", " 0.93859649122807021,\n", " 0.80901856763925728)" ] }, "execution_count": 30, "metadata": {}, "output_type": "execute_result" } ], "source": [ "predic_stats(y_, y_pred, lr_decision)" ] }, { "cell_type": "code", "execution_count": 31, "metadata": { "collapsed": true }, "outputs": [], "source": [ "plt.hist(hpc.training_hit_probability,20)\n", "plt.ylim(0,300)\n", "plt.rcParams.update({'font.size': 18})" ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# characteristics of HPC-AD people in ADNI1 AD/CN" ] }, { "cell_type": "code", "execution_count": 33, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# copy data frame and mask\n", "df1 = deepcopy(data)\n", "df1 = df1[mask_cnad]" ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/AngelaTam/anaconda3/lib/python3.5/site-packages/ipykernel/__main__.py:16: DeprecationWarning: \n", ".ix is deprecated. Please use\n", ".loc for label based indexing or\n", ".iloc for positional indexing\n", "\n", "See the documentation here:\n", "http://pandas.pydata.org/pandas-docs/stable/indexing.html#ix-indexer-is-deprecated\n" ] } ], "source": [ "hpc_df(df1, y_pred, lr_decision)" ] }, { "cell_type": "code", "execution_count": 35, "metadata": { "collapsed": true }, "outputs": [], "source": [ "long_df_adni1_adcn = pd.merge(long_data, df1[['RID','flag_dx','flag_status']], \n", " how='left', on=['RID'])" ] }, { "cell_type": "code", "execution_count": 36, "metadata": { "collapsed": true }, "outputs": [], "source": [ "long_df_adni1_adcn.dropna(subset=['flag_status'],inplace=True)" ] }, { "cell_type": "code", "execution_count": 37, "metadata": { "collapsed": true }, "outputs": [], "source": [ "long_df_adni1_adcn.reset_index(inplace=True, drop=True)" ] }, { "cell_type": "code", "execution_count": 38, "metadata": { "collapsed": true }, "outputs": [], "source": [ "long_df_adni1_adcn.to_csv(path_results + 'adni1_adcn_hps.csv', index=False)" ] }, { "cell_type": "code", "execution_count": 39, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "baseline rate in NON-TARGET subjects: 0.2780487804878049\n", "##########\n", "baseline rate in TARGET subjects: 0.6627906976744186\n", "##########\n", "number of subjects with VOI in the whole sample: 171.0\n", "total number of subjects with VOI data in whole sample: 377\n", "ratio: 0.4535809018567639\n", "##########\n", "number of subjects with VOI that are positive at stage 1: 103.0\n", "total number of positive stage 1 subjects with VOI data: 159\n", "ratio: 0.6477987421383647\n", "##########\n", "number of subjects with VOI in HPC-AD: 74.0\n", "total number of HPC-AD subjects with VOI data: 114\n", "ratio: 0.6491228070175439\n", "##########\n", "number of subjects with VOI in Non-HPC+: 29.0\n", "total number of Non-HPC+ with VOI data: 45\n", "ratio: 0.6444444444444445\n", "##########\n", "number of subjects with VOI in negative subjects: 68.0\n", "total number of negative subjects with VOI data 218\n", "ratio: 0.3119266055045872\n" ] } ], "source": [ "compare_ratio_var(df1, 'APOE4_bin', 'AD')" ] }, { "cell_type": "code", "execution_count": 40, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "observed freq: \n", "[[ 150. 16. 40.]\n", " [ 68. 29. 74.]]\n", "Chi2: 41.8513198853\n", "p value: 8.16772969603e-10\n", "degress of freedom: 2\n", "expected freq: \n", "[[ 119.1193634 24.58885942 62.29177719]\n", " [ 98.8806366 20.41114058 51.70822281]]\n" ] } ], "source": [ "tmp_df = chi2_fn(df1, 'APOE4_bin')" ] }, { "cell_type": "code", "execution_count": 41, "metadata": {}, "outputs": [ { "data": { "image/png": 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Dfn5+yMvLw9WrV4WkoVGjRsIUi+KJS1EpzqioKAD6nv+zZ8+ic+fO8Pb2Rm5u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\nYxy4KGxGeyMgnX+mW6REOIyeHX9goUGQjVa4m5eJjnEa5etf//rXRYc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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "hpc_pie(tmp_df, 'APOE4_bin', path_results + 'adni1_adcn_hpc_e4_pie.pdf')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## sex in ADNI1 AD vs CN (% male)" ] }, { "cell_type": "code", "execution_count": 42, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "baseline rate in NON-TARGET subjects: 0.48292682926829267\n", "##########\n", "baseline rate in TARGET subjects: 0.5\n", "##########\n", "number of subjects with VOI in the whole sample: 185.0\n", "total number of subjects with VOI data in whole sample: 377\n", "ratio: 0.4907161803713528\n", "##########\n", "number of subjects with VOI that are positive at stage 1: 80.0\n", "total number of positive stage 1 subjects with VOI data: 159\n", "ratio: 0.5031446540880503\n", "##########\n", "number of subjects with VOI in HPC-AD: 56.0\n", "total number of HPC-AD subjects with VOI data: 114\n", "ratio: 0.49122807017543857\n", "##########\n", "number of subjects with VOI in Non-HPC+: 24.0\n", "total number of Non-HPC+ with VOI data: 45\n", "ratio: 0.5333333333333333\n", "##########\n", "number of subjects with VOI in negative subjects: 105.0\n", "total number of negative subjects with VOI data 218\n", "ratio: 0.481651376146789\n" ] } ], "source": [ "compare_ratio_var(df1, 'gender', 'AD')" ] }, { "cell_type": "code", "execution_count": 43, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "observed freq: \n", "[[ 113. 21. 58.]\n", " [ 105. 24. 56.]]\n", "Chi2: 0.398829725579\n", "p value: 0.819209963095\n", "degress of freedom: 2\n", "expected freq: \n", "[[ 111.02387268 22.91777188 58.05835544]\n", " [ 106.97612732 22.08222812 55.94164456]]\n" ] }, { "data": { "text/html": [ "
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NegativeNon-HPS+HPS+gender
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\n", "
" ], "text/plain": [ " Negative Non-HPS+ HPS+ gender\n", "0 113.0 21.0 58.0 -\n", "1 105.0 24.0 56.0 +" ] }, "execution_count": 43, "metadata": {}, "output_type": "execute_result" } ], "source": [ "chi2_fn(df1, 'gender')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## CSF tau in ADNI1 AD vs CN" ] }, { "cell_type": "code", "execution_count": 44, "metadata": {}, "outputs": [ { "data": { "image/png": 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G3v13v+gKAAAAsDWHD/dffvmlxo0bp/j4eElSixYttGbNGtWoUaPA4y0r3Ny4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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "ANOVA F: 27.3934564553\n", "p value: 2.56994556222e-10\n", " Multiple Comparison of Means - Tukey HSD,FWER=0.05\n", "===================================================\n", " group1 group2 meandiff lower upper reject\n", "---------------------------------------------------\n", " HPS+ Negative -50.0714 -71.1281 -29.0147 True \n", " HPS+ Non-HPS+ 25.3429 -5.9639 56.6496 False \n", "Negative Non-HPS+ 75.4143 46.0301 104.7985 True \n", "---------------------------------------------------\n" ] } ], "source": [ "anova_hpc(df1, 'TAU', 0, 300, path_results + 'adni1_adcn_csf_tau.pdf')" ] }, { "cell_type": "code", "execution_count": 45, "metadata": {}, "outputs": [ { "data": { "image/png": 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nF87oc+nSpTLbLlwYxL6tW265xdguqw374yXVAwAAAFS3Wh0C1q9fr2eeecZ4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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "ANOVA F: 16.4244759379\n", "p value: 6.8019961172e-12\n", " Multiple Comparison of Means - Tukey HSD,FWER=0.05\n", "===================================================\n", " group1 group2 meandiff lower upper reject\n", "---------------------------------------------------\n", " AD+ AD- -74.8444 -126.6313 -23.0576 True \n", " AD+ CN+ -86.4 -153.0804 -19.7196 True \n", " AD+ CN- -104.5569 -143.537 -65.5767 True \n", " AD+ HPS+ AD -49.0061 -89.6917 -8.3204 True \n", " AD+ HPS+ CN -66.9 -154.2051 20.4051 False \n", " AD- CN+ -11.5556 -79.2861 56.1749 False \n", " AD- CN- -29.7124 -70.4629 11.0381 False \n", " AD- HPS+ AD 25.8384 -16.5464 68.2232 False \n", " AD- HPS+ CN 7.9444 -80.1653 96.0542 False \n", " CN+ CN- -18.1569 -76.6803 40.3666 False \n", " CN+ HPS+ AD 37.3939 -22.279 97.0669 False \n", " CN+ HPS+ CN 19.5 -78.11 117.11 False \n", " CN- HPS+ AD 55.5508 30.3705 80.7311 True \n", " CN- HPS+ CN 37.6569 -43.5891 118.9028 False \n", "HPS+ AD HPS+ CN -17.8939 -99.9718 64.1839 False \n", "---------------------------------------------------\n" ] } ], "source": [ "anova_hpc_split(df1, 'TAU', 0, 300, 'CN', 'AD', path_results + 'adni1_adcn_csf_tau_split.pdf')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## CSF abeta in ADNI1 AD vs CN " ] }, { "cell_type": "code", "execution_count": 46, "metadata": {}, "outputs": [ { "data": { "image/png": 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B5MmTUa9ePTRt2hTLli1DVFSU0nGnTp3C9evXMXfuXOTl5SEvLw9z585Fw4YN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\nn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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "ANOVA F: 16.5254649468\n", "p value: 5.47748630056e-07\n", " Multiple Comparison of Means - Tukey HSD,FWER=0.05\n", "===================================================\n", " group1 group2 meandiff lower upper reject\n", "---------------------------------------------------\n", " HPS+ Negative 60.1302 33.1445 87.1158 True \n", " HPS+ Non-HPS+ 2.4421 -38.0662 42.9504 False \n", "Negative Non-HPS+ -57.6881 -96.0058 -19.3703 True \n", "---------------------------------------------------\n" ] } ], "source": [ "anova_hpc(df1, 'ABETA', 50, 350, path_results + 'adni1_adcn_csf_abeta.pdf')" ] }, { "cell_type": "code", "execution_count": 47, "metadata": {}, "outputs": [ { "data": { "image/png": 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MVSqVo1unFsz6YhURWT6vKe/jhbe3B85OGpm2qBrQvhrVK5UmJDKBR6t60LB2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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "ANOVA F: 14.7551638275\n", "p value: 6.00845818417e-11\n", "Multiple Comparison of Means - Tukey HSD,FWER=0.05\n", "==================================================\n", " group1 group2 meandiff lower upper reject\n", "--------------------------------------------------\n", " AD+ AD- 50.7111 -13.6465 115.0688 False \n", " AD+ CN+ 117.35 34.4836 200.2164 True \n", " AD+ CN- 98.3647 49.9224 146.807 True \n", " AD+ HPS+ AD 25.8857 -24.3389 76.1104 False \n", " AD+ HPS+ CN 122.1 13.6024 230.5976 True \n", " AD- CN+ 66.6389 -17.5326 150.8104 False \n", " AD- CN- 47.6536 -2.9888 98.296 False \n", " AD- HPS+ AD -24.8254 -77.1753 27.5245 False \n", " AD- HPS+ CN 71.3889 -38.1088 180.8865 False \n", " CN+ CN- -18.9853 -91.7148 53.7443 False \n", " CN+ HPS+ AD -91.4643 -165.393 -17.5356 True \n", " CN+ HPS+ CN 4.75 -116.5541 126.0541 False \n", " CN- HPS+ AD -72.479 -103.224 -41.734 True \n", " CN- HPS+ CN 23.7353 -77.2324 124.703 False \n", "HPS+ AD HPS+ CN 96.2143 -5.6206 198.0492 False \n", "--------------------------------------------------\n" ] } ], "source": [ "anova_hpc_split(df1, 'ABETA', 50, 350, 'CN', 'AD', path_results + 'adni1_adcn_csf_abeta_split.pdf')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## age in ADNI1 AD vs CN" ] }, { "cell_type": "code", "execution_count": 48, "metadata": {}, "outputs": [ { "data": { "image/png": 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h7++Ppk2b6sUlEgl8fHzg6+srug9vb2+DZL1Ro0bw9/eHk5OTXlyhUMDHxwcD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\nH46srCwcP34cf/31F+Li4pCVlYX169dj2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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "ANOVA F: 4.95909106232\n", "p value: 0.00748783652728\n", "Multiple Comparison of Means - Tukey HSD,FWER=0.05\n", "=================================================\n", " group1 group2 meandiff lower upper reject\n", "-------------------------------------------------\n", " HPS+ Negative 0.9956 -0.6941 2.6853 False \n", " HPS+ Non-HPS+ -2.1368 -4.7106 0.4369 False \n", "Negative Non-HPS+ -3.1324 -5.5261 -0.7387 True \n", "-------------------------------------------------\n" ] } ], "source": [ "anova_hpc(df1, 'age_scan', 50, 100, path_results + 'adni1_adcn_age.pdf')" ] }, { "cell_type": "code", "execution_count": 49, "metadata": {}, "outputs": [ { "data": { "image/png": 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cnBxXD0cucvr0aVasWMGvv/5qtBX+bm3fvl2/Wy6Un5/Ptm3biIqKcsg2+Ouv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\nFb8bFQUFBQk1TYqfu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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "ANOVA F: 2.3828846693\n", "p value: 0.0380143550574\n", "Multiple Comparison of Means - Tukey HSD,FWER=0.05\n", "===============================================\n", " group1 group2 meandiff lower upper reject\n", "-----------------------------------------------\n", " AD+ AD- 4.7424 0.3213 9.1635 True \n", " AD+ CN+ 1.9091 -4.098 7.9162 False \n", " AD+ CN- 3.4521 0.0861 6.8181 True \n", " AD+ HPS+ AD 2.6256 -0.9227 6.1739 False \n", " AD+ HPS+ CN 2.9567 -4.4586 10.3721 False \n", " AD- CN+ -2.8333 -8.8654 3.1988 False \n", " AD- CN- -1.2903 -4.7007 2.1201 False \n", " AD- HPS+ AD -2.1168 -5.7073 1.4736 False \n", " AD- HPS+ CN -1.7857 -9.2213 5.6499 False \n", " CN+ CN- 1.543 -3.7645 6.8505 False \n", " CN+ HPS+ AD 0.7165 -4.7085 6.1415 False \n", " CN+ HPS+ CN 1.0476 -7.4275 9.5227 False \n", " CN- HPS+ AD -0.8265 -2.9887 1.3357 False \n", " CN- HPS+ CN -0.4954 -7.3563 6.3655 False \n", "HPS+ AD HPS+ CN 0.3311 -6.621 7.2833 False \n", "-----------------------------------------------\n" ] } ], "source": [ "anova_hpc_split(df1, 'age_scan', 50, 100, 'CN', 'AD', path_results + 'adni1_adcn_age_split.pdf')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## cognition in ADNI1 AD vs CN" ] }, { "cell_type": "code", "execution_count": 50, "metadata": {}, "outputs": [ { "data": { "image/png": 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PT4ePjw+aNm367jtKLyVRqVSq8m7Ef6VSqZCTk4PY2Fjs3bsX27dvR15eHszNzREeHo5G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\nJ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jXx8/PTeuyFKXv+/Hn27dvHuXPniI6OBqBSpUo0a9aMnj174ujoiL6+vtb9CCH+/qSP\nuRBCvAFZWVmsWrWKDRs2aMyd/fz5cx49esSpU6dYv34969ato3Xr1hq39eTJEyZOnMjVq1fV3o+K\nimLPnj0cOHCAWbNmlchxaHLp0iU+++wzYmNj1d5PSEggISGBGzdusHXrVkaMGMGcOXMoU+bVHtaq\nVCoWLFjAnj171J5gAKSnp5OSkkJ0dDT+/v5s3LiRDRs2UKdOnVc+ruLw4sUL5s+fr9wg5RYdHa3U\nd+3atfz888+0aNHiLdRSCFFaSGAuhBBajBw5kp49e/L06VPWrVsHQO3atRk5cmSRtrN8+XLWr18P\ngI6ODl26dKFVq1YYGxuTlJTExYsXCQ4OJisriydPnjB16lSOHj2KgYGB2nYSExNxdnbm7t27ABga\nGtKnTx/q16/PkydPOHbsGDExMSxcuBALC4tiOAPaxcXF8cknnxAXFwdAixYt6NSpE5UqVSIuLo4/\n//yTixcvkpWVhbu7O9WqVeOzzz4DwNTUlP/9738A/PDDD0D2wNpPPvkEgBo1aqjt63//+x9HjhwB\nQFdXl27dutG0aVMMDQ2Jj4/n3LlzXLp0CYB79+4xbdo09uzZg46ODgD29vY0btyYU6dOKYN17e3t\nadmyJUCJBPFr165VgnIjIyNsbGyoX78+Ojo6REZG4u3tzbNnz4iJiWH8+PH4+PhgYmJS7PUQQrwb\nJDAXQggt7O3tgexuFzmBeY0aNfj4448LvY27d++yadMmIDugXL9+PV26dMlT7ty5c0ycOFGt5Tdn\n/zl+/PFHJShv0qQJ69atU8v9PX36dObOncuBAwd48OBB0Q72FXh4eChB+cSJE5kxY0aeMjt37mT+\n/PkAbNy4kQkTJqCnp4exsbFyHnMC89zv5RYUFKQE5aampmzZsoVmzZrlKXf06FFcXFzIzMzkypUr\nXL58WXny0L17d7p3705KSooSmHfr1g0nJ6fXPQ0apaamKv/vVatWxd3dndq1a6uVmTlzJmPGjOHW\nrVskJCTg4eHBpEmTSqQ+QojSTwZ/CiFECTt48CAZGRkAjBkzRmNQDtC+fXscHR2V1y93VYmMjMTD\nwwPIDmDXr1+fZ0IeAwMDFi9eTIcOHYrzEPKV00IN5BtQfvjhh3Ts2BHI7nISFhZW5P3k7hs+depU\njUE5gJ2dHd27d1deX7lypcj7Ki537tzh2bNnQHa9Xg7KAczMzPjmm2+U15cvX35j9RNClD7SYi6E\nEAzuwGsAAAt7SURBVCWsc+fOGBgYEBERwbBhw7SWzRlICChBXQ5fX18lwB8+fDjm5uYat1GmTBlc\nXFyK3N3mVZQr9/9/RkJDQ+nRo4fGckuWLEFHRwdzc3Ola0lR9OvXj/r16xMZGcnAgQO1lm3atCkB\nAQFA3nP4JpUtW1ZZvnz5MhkZGWrnK0eHDh04cOAAderUwdDQ8E1WUQhRykhgLoQQJaxjx45Ki7E2\nKSkpREREKK9zgvAcJ0+eVJZ79eqldVtWVlZUrVo1z4DM4tahQwd8fHyA7JbsDz/8EFtbW1q1aqUW\nmL5uf3cbGxtsbGwKLPf06VMePnyovH75HL5JDRo0oHLlyjx58oTQ0FBGjhyJs7Mz3bp1o3Llykq5\nMmXK5PsEQAjxzyKBuRBCvGGpqancvXuX+/fvc//+fe7evcuNGze4efOmWiD5cjbb3EF748aNC9xP\nkyZNSjwwHzJkCJ6enoSHh/P8+XPc3Nxwc3OjYsWKdO7cmW7dutGjRw+qVatWrPtNTk7mzp07yjkM\nDw8nLCyM8PBwtYwtbzMjsJ6eHtOmTWP27NlAdrefS5cuoaOjQ/PmzfnXv/5F9+7dsbKyUruJEUL8\nc0lgLoQQb8ixY8fYunUrf/75Jy9evNBYpmzZsvmue/z4sbJcoUKFAvdnamr6ahUtAiMjIzZt2sRX\nX31FYGCg8n5iYiLe3t54e3ujo6NDu3btcHZ2zjOYtSgyMzPx8vJi586dXLt2Ld+gW9s5fNOGDh0K\nZHflSUpKArJvFq5du8a1a9f49ddfMTMzo3///kycOJHq1au/zeoKId4yCcyFEKKEqVQqvvjiCw4f\nPpxnXfXq1WncuDEtW7akY8eOREVFqQ0GzC09PV1ZzszMLDAf+JtqLa5evTobN27k6tWrHDlyBH9/\nf8LDw9Xqce7cOc6dO8dvv/3G6tWr0dXVLdI+kpOT+eyzzzh79qza+zo6OlhYWNCkSRNatmxJ586d\nOXXqFGvXri2WYysOQ4cOxc7OjmPHjuHj40NQUBApKSnK+ri4OLZt28bevXtZs2YN1tbWb7G2Qoi3\nSQJzIYQoYT///LMSlOvp6eHs7EyvXr1477338szwuWPHjny3Y2pqqnRNefr0KWZmZlr3+/Tp09es\nedG0aNGCFi1aMHPmTGJiYjhz5gyBgYEEBAQorcX+/v64ubkpucoLa+HChUpQXqFCBcaOHcu//vUv\nmjZtmifXe0EzdRZFQTc3z58/L9R2jI2NcXJywsnJCZVKxaVLlzh9+jT+/v5K9p2UlBSmTZuGn58f\nRkZGr113IcS7R9IlCiFECUpLS2Pr1q3K6xUrVjBr1iw6duyYJygHiI+PV5ZfDgobNmyoLOdukc5P\nYcqUlOrVq+Pg4MCyZcsIDAxk0KBByroDBw4UaVsxMTH89ttvQPZAyU2bNjF58mTatGmTJygH7eew\nsHIyx+R+SqHJq/Th19XVpV27dkyZMgUvLy927NihdE1KSEjgxIkTRa+wEOJvQQJzIYQoQXfu3FFa\ni01NTenTp4/W8rm7arwcVObOTZ6TDjA/N27cIDo6uoi1LZqoqCimTp2Kvb291gmXypcvzxdffKG8\nzp01pTAuX76sDOhs1qwZrVq1yrdsVlYWwcHBaq9fVph0jTkBf2JiotpgUk11y8/mzZsZNWoUnTt3\nJiQkJN9y7du354MPPlBex8TEFFg/IcTfkwTmQghRglQqlbL87Nkz0tLS8i0bEBCgFlTm/iyAg4OD\n0q989+7daoNBX7ZmzZpXrXKhVapUCT8/P8LDwzl79qzWmUZzZgcFNA5wzMlKomnQZu5W64SEBK11\n2rlzJ5GRkcrrl88hoNY3P79BojlZZFQqldr/SW6ZmZls3Lgx37rEx8cTEhJCfHw8Bw8e1Frvgs6P\nEOKfQQJzIYQoQQ0aNFAGOqpUKlxdXfO04mZlZbF//36mTZum9v7L/Zdr1aqlTB+fmJjIpEmT8rSu\nZmRksGTJEo4dO1bch5KHoaEhdnZ2QPaxTZkyRWNrb0pKCvPnz1de9+3bN0+ZnD7V8fHxeY4796RL\nDx48YMuWLXk+n5GRgZubG4sWLVJ7X1Mf8Nz9t/N7qpB7dtZFixaRmJiY55hmzpypdWZRR0dH5SbA\n09MTT09PjS34x48fV3LBGxkZyeBPIf7BZPCnEEKUIGNjYxwdHdm1axcAmzZt4vTp03Tp0oWKFSsS\nExNDYGCg0sqrq6urtPJqah2eOXMmZ8+eJSIigqtXr9KvXz/69u1LvXr1SExMxNfXl/v371OmTBnK\nlSuntDYXlMHlVbm4uODv709SUhJXrlyhT58+9OrVi7p162JgYEBUVBR+fn5K636dOnUYN25cnu1Y\nWFjw9OlT0tLSmDhxIt26dcPQ0JBRo0bRsGFDunbtyqlTp4DsQPn333/HysoKAwMDoqOjOXHihNLf\nu6BzWLNmTWXZzc0NlUpF+fLl6du3r5IffvTo0ezevZuMjAzCwsLo27cvdnZ2VKtWjaioKHx8fEhM\nTKRGjRpUq1aNixcv5tlPvXr1GDNmDJs3bwZgzpw5bN++nfbt21O9enVSU1O5cOECZ8+eVQL2zz//\n/I2kuRRClE46WW9z9gUhhHhHREZG0rt3byB7Js9t27aprR89erTS5cHX15datWop61JSUvjkk0/y\n7RKRo0mTJnz//feMGDEClUpFhQoVOHv2bJ7JZyIiIvj3v//NrVu3NG5HX1+fb7/9llWrVikB/6lT\np6hSpUrRDrqQLl68yOTJk3n06JHWci1btmTlypXUrl07z7odO3awYMECtfcqVKjAuXPngOwc7mPH\njs33mHO0a9cOFxcXnJ2dgeyJmA4dOqRWJiUlhQ8++ICoqCi197/88kvGjh2rvD506BBfffVVvt2P\n6tevz5o1a1i+fDm+vr7UrFkzT0aYFy9eMG/ePOXGLD/6+vpMmTKFiRMnai0nhPh7kxZzIYQoYYaG\nhmzevBkvLy8OHTrEjRs3SEpKQl9fn6pVq9KsWTN69+5N//79KVeuHJ06dSIwMJCkpCT8/f15//33\n1bZXu3ZtvLy82L17N0ePHiU8PJykpCSqVauGtbU1EyZMoF69eixdulT5jKbsJcXF0tKSo0eP4uXl\nRUBAADdv3iQhIYFy5cpRuXJlWrVqha2tLba2tvm23Ds7O6Onp8eOHTu4d+8eKpWKihUrEhcXh5mZ\nGVWqVGHPnj24u7vj7e1NeHg4z549w8DAgOrVq9O8eXPs7Ozo3bs3Ojo6NGjQgDt37nDr1i1u3Lih\nNuW9oaEh27dvZ/ny5QQFBZGQkICRkRHJyclqdfrggw+wtLRk27ZtnDx5kujoaPT19albty729vaM\nGDGiwPNatmxZFi5ciJOTE/v27SM0NJSoqCjS0tIwMTHBwsKC7t274+TkpPGGRQjxzyIt5kII8TfV\ntm1bUlJSMDAw4MKFC2+7OkIIIQogLeZCCPGOOH/+PFeuXKFevXpYWlpq7Yt8//59ZXbJ+vXrv6kq\nCiGEeA2SlUUIId4R0dHRLFq0iEmTJhWYDnH79u3Kcrt27Uq6akIIIYqBBOZCCPGO6NChg9JHe8+e\nPZw/fz5PmaysLDw9P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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "ANOVA F: 182.945729999\n", "p value: 3.91354991577e-56\n", "Multiple Comparison of Means - Tukey HSD,FWER=0.05\n", "=================================================\n", " group1 group2 meandiff lower upper reject\n", "-------------------------------------------------\n", " HPS+ Negative 4.9994 4.3692 5.6296 True \n", " HPS+ Non-HPS+ 1.7474 0.7875 2.7073 True \n", "Negative Non-HPS+ -3.252 -4.1447 -2.3592 True \n", "-------------------------------------------------\n" ] } ], "source": [ "# mmse\n", "anova_hpc(df1, 'MMSE', 15, 35, path_results + 'adni1_adcn_mmse.pdf')" ] }, { "cell_type": "code", "execution_count": 51, "metadata": {}, "outputs": [ { "data": { "image/png": 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j7OyMkJAQszOrTz75JDZt2mTS5uDgAL1eb9KmVCphMBjMtm+p3dL6KpUKOp3O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\nC4cPH+by5ctkZGTg5+dH06ZN6d69O0OGDCmwC2H213748OHMnj3boX1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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "ANOVA F: 263.841874653\n", "p value: 9.09268062147e-120\n", "Multiple Comparison of Means - Tukey HSD,FWER=0.05\n", "===============================================\n", " group1 group2 meandiff lower upper reject\n", "-----------------------------------------------\n", " AD+ AD- 0.554 -0.5356 1.6435 False \n", " AD+ CN+ 5.2727 3.7923 6.7531 True \n", " AD+ CN- 5.3641 4.5346 6.1936 True \n", " AD+ HPS+ AD -0.7273 -1.6017 0.1472 False \n", " AD+ HPS+ CN 5.5584 3.731 7.3859 True \n", " AD- CN+ 4.7188 3.2322 6.2053 True \n", " AD- CN- 4.8101 3.9697 5.6506 True \n", " AD- HPS+ AD -1.2812 -2.1661 -0.3964 True \n", " AD- HPS+ CN 5.0045 3.172 6.8369 True \n", " CN+ CN- 0.0914 -1.2166 1.3994 False \n", " CN+ HPS+ AD -6.0 -7.3369 -4.6631 True \n", " CN+ HPS+ CN 0.2857 -1.8029 2.3743 False \n", " CN- HPS+ AD -6.0914 -6.6242 -5.5586 True \n", " CN- HPS+ CN 0.1943 -1.4965 1.8851 False \n", "HPS+ AD HPS+ CN 6.2857 4.5724 7.999 True \n", "-----------------------------------------------\n" ] } ], "source": [ "anova_hpc_split(df1, 'MMSE', 15, 35, 'CN','AD', path_results + 'adni1_adcn_mmse_split.pdf')" ] }, { "cell_type": "code", "execution_count": 52, "metadata": {}, "outputs": [ { "data": { "image/png": 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I+Pn5AQBee+01qc+mTZvsXm++LygoCI0aNSpVzURERESO0rBhQzRs2NCiLTg4GD169HBS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\nszqvhxDiySCBuRBC6ODu7g6Ud7uoCMxtbGx49913a7yPixcvE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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "ANOVA F: 185.820300838\n", "p value: 1.4920308697e-56\n", " Multiple Comparison of Means - Tukey HSD,FWER=0.05\n", "===================================================\n", " group1 group2 meandiff lower upper reject\n", "---------------------------------------------------\n", " HPS+ Negative -17.4979 -19.66 -15.3358 True \n", " HPS+ Non-HPS+ -7.8627 -11.1604 -4.5651 True \n", "Negative Non-HPS+ 9.6352 6.5798 12.6905 True \n", "---------------------------------------------------\n" ] } ], "source": [ "# adas\n", "anova_hpc(df1, 'ADAS13', -1, 60, path_results + 'adni1_adcn_adas13.pdf')" ] }, { "cell_type": "code", "execution_count": 53, "metadata": {}, "outputs": [ { "data": { "image/png": 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5pY4dOxITEwPAqFGjQhyNnCwqKorHHnvMOl6zZk2pNsnJyWczpLBQqQT+yJEj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1k91Uyj4dG+nTh1LlTZHhOXzKbtR/jx5z+UAaO5efnEJ6XSsL4xYFer1Tw1qi/DH+tu0t3Fv2ML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\ngpL4/326Se4999xcDU9OzvOce/daNMJ15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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "ANOVA F: 233.035936007\n", "p value: 2.26405867112e-111\n", "Multiple Comparison of Means - Tukey HSD,FWER=0.05\n", "=================================================\n", " group1 group2 meandiff lower upper reject\n", "-------------------------------------------------\n", " AD+ AD- -0.9069 -4.82 3.0062 False \n", " AD+ CN+ -16.2355 -21.5339 -10.9371 True \n", " AD+ CN- -16.3265 -19.322 -13.3309 True \n", " AD+ HPS+ AD 4.8086 1.6408 7.9764 True \n", " AD+ HPS+ CN -16.779 -23.3101 -10.2478 True \n", " AD- CN+ -15.3286 -20.627 -10.0303 True \n", " AD- CN- -15.4196 -18.4152 -12.424 True \n", " AD- HPS+ AD 5.7155 2.5477 8.8833 True \n", " AD- HPS+ CN -15.8721 -22.4033 -9.3409 True \n", " CN+ CN- -0.0909 -4.7529 4.571 False \n", " CN+ HPS+ AD 21.0441 16.2697 25.8186 True \n", " CN+ HPS+ CN -0.5435 -7.9877 6.9008 False \n", " CN- HPS+ AD 21.1351 19.2126 23.0575 True \n", " CN- HPS+ CN -0.4525 -6.4789 5.5739 False \n", "HPS+ AD HPS+ CN -21.5876 -27.7014 -15.4738 True \n", "-------------------------------------------------\n" ] } ], "source": [ "anova_hpc_split(df1, 'ADAS13', -1, 60, 'CN', 'AD', path_results + 'adni1_adcn_adas13_split.pdf')" ] }, { "cell_type": "code", "execution_count": 54, "metadata": {}, "outputs": [ { "data": { "image/png": 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lWGhoKHx8fCCVSrFs2TLIZDIAgKOjI3R0dITHAODn5wdDQ0O15+7ZsyesrKyQ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\n/WEbjyaW9WuX15UKbExGRgb5+fktjLZl8vLyWLZsG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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "ANOVA F: 181.002937263\n", "p value: 1.04758703546e-55\n", "Multiple Comparison of Means - Tukey HSD,FWER=0.05\n", "=================================================\n", " group1 group2 meandiff lower upper reject\n", "-------------------------------------------------\n", " HPS+ Negative 1.6134 1.4099 1.817 True \n", " HPS+ Non-HPS+ 0.6116 0.3015 0.9217 True \n", "Negative Non-HPS+ -1.0019 -1.2903 -0.7135 True \n", "-------------------------------------------------\n" ] } ], "source": [ "# adni_mem\n", "anova_hpc(df1, 'ADNI_MEM', -3, 3.5, path_results + 'adni1_adcn_memory.pdf')" ] }, { "cell_type": "code", "execution_count": 55, "metadata": {}, "outputs": [ { "data": { "image/png": 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OTSYTjz766B96zSIiIiLezOT8A0+uFhQUsGrVKqKioli2bJmxWknx/PkmTZpw\n++2307t37xJLEF6vEhIS6NGjB0uWLKF69eoX7Tt06FCSk5NL9f5OpxO73Y7JZMJiseB0OsnNzTWm\nwlgsFrcpNwBWqxU/Pz/y8vIoKioy2k0mU4kHmgsLC/Hx8XFr8/X1xWw2U1BQgNPpLHHO+e4ZEBAA\nuEb1LRYLFovlz73w86hUqRLTp08v9euWJd26dQNg2bJlHq7Ec7p160b6qQTuaamH80vbjDgTIRHV\nvfr3S0Tkj/o9mfFi/tBmT76+vvTo0YMePXqQn5/P8uXLiYqKYsWKFeTl5bFjxw527tzJe++9R8uW\nLenXrx+9evUiPDz8Dxd6PUlOTiYpMZGI8NBSva4JwAn2X5dit/mYcPwakp3Ab/I0DnsRWVlZbm1m\nswmL2URhUclAbjaB49dmkwnMFOG0g48FnJgoKHQ/x+mwY/r13gBWiwkcrqk0FhPgsBu1lpZTp9NK\n94IiIiIi16A/vWOrzWajV69e9OrVi9zcXJYuXcr8+fNZuXIlBQUFbNmyhdjYWN566y1jh9CePXsS\nGlq6AbasiQgP5fuvxl21+zmdTp4f9TH7Dx0HXKPtTRvXZtvOQ0Yfs8nE5I9GciolnTfe+pLcvLNL\nUFarEk5iciq+PlZ6dGnN8KG9GPPuV+zZ75o+Vat6RY4knHS758B+nfnL0J7s3H2Y8qHB1KpR6Yq/\nziEPvnHF7yEiIiLiaX86xJ/L39+ffv360a9fP7Kysli6dCkLFixg9erV5Ofns379etavX8+4ceOM\nBynl6jCZTIwf9QhRi9dzOiWdW25qzvQfl7r1cTidfP39IhYt3wy4Qn358sFEhIUYYb2gsIhFyzZT\ns3pFow3gSMJJ2rS4gdht+3E4ndSqUYlBt3fGx2qlZbN6iIiIiEjpKdUQf66goCD69+9Pz549iY6O\n5v333yclJQWn0+k2/1qujtMp6WRm5XD3gK5GW48urYndfsA4rlm9IktWbjGOi8O42ez+/HOR3U7C\nidMl7tGscR2eGXEnaelZ1KtTTTvzioiIiFwhVyTEF4/CL1y4kDVr1pCXlwec3f31t6FQrqwvv5nP\nT/NW4XA6qVu7KuNfe5iMzBwWLtuEn82XoEB/brqxMbd2acPfXv2v27mZmTnU/M00mHLBgQzoczNL\nV8WSm+uacuNn86Vj+yb8OG8VC5ZuJCDAj+FDe3Jb17ZX7XWKiIiIeItSC/GZmZksWbKE6OhoYmJi\njDXKi4O7yWSiTZs29OnTh169epXWbeUSjhxLZtbclcbxwfgTzI5aw4bNu4k/mgRAXn4BmVm51Ktd\njdYt6rNl636j/4mkFGMevZ8ozhX1AAAgAElEQVTNl0YNajF8aC+qVQln4rgn+GXhOhxOJ/16dmDH\nrnjmRMcAkF9QyIef/kiThpFUrawHmkVERERK058K8RkZGSxevJjo6GjWrl1rTJM5N7i3bt3aCO4V\nK1b88xXL75J86kyJtoQTp4wAX2z7LtcDrqOef4CoxetJOHGKzKwcYjbsNPrk5Rdwz8Cu1K9TDYCa\n1Svx0H192Bi3l1On09i174jbNR1OJ/sOJCjEi4iIiJSy3x3i09LSWLRoEQsWLGDdunXGOuDnBvdW\nrVoZwb1SpSu/IolcWLPGtQkpF0h6RrbR1q1TSw4dPkFicqrRFhzoz5TvFtC5Y3MG3d4ZgI8/n13i\nesXTZwDOpGXywuufcPLXZR2rVnbfOdZsNtPohlql+npERERE5DJDfGpqqjHivmHDhvMG95YtW9Kn\nTx969+6t4H4N8fez8fYbI5g5exlpGdnc1qUNN7VrQoXy5Zj4yfcknDiFv5+Nw8eSOXwsmVnzVvLW\n64/StFFtenZry8Llmygqcv28g4P8+dfHM7BaLNw9sCt5eQVGgAfX1Jub2zdl646DBAb6MXxoLypV\nLO+ply4iIiJy3bpgiE9JSWHhwoUsWLCATZs2XTC49+7d26t2Zi2LatWoxEvPDHVra1CvBp9OfIEd\nu+MZOXaS0W63O/hl0TrS0rOYMz+G2jUrEx4Wir+fL0tXxRr9Pp8WRZeOLUrcq+ONTXjt+fuv3IsR\nERERkQuH+M6dOxuBvfifAM2bNzdG3KtUqXLlK5Qryt/fVqItJzefdz74zvi5xx9JonePdiX6VagQ\njM3Xh/wC10PM4RVCuLF1oytbsIiIiIhcOMQ7HA5MJhNOpxM/Pz86depE7969qVq1KgCJiYkkJib+\n4Ru3bt36D58rpaOw0PUgcrtWDdgYuxdwhfoKocFuH9yK7HYcDmeJ8zu2a8qtXdqwePlm/Px86dOj\nPQHn+VAgIiIiIqXrknPiTSYT+fn5LFmyhCVLlpTKTU0mE7t27SqVawnY7XamTF/I8jVxhJUvxyMP\n9KVpo9oXPWfX3sOMn/A16RnZBAb48cBdtxIaGkz7to2I3bafhcs2ufUPK1+OoYO6EbVoA2azibsH\ndKVxA9dDq48O63f5tTocLF8dx8H447RoWo/2bTRyLyIiIvJ7XTLEnzsi6w0KCgoYNGgQ+/fvZ8aM\nGbRs2dLTJV3Sz/NjjLXgU1Iz+Me/pjLlk1c4lZLOpti9VK8aQbtWDdx2UP3f5LnGijXZOXksXrmF\nLz58CYAuHVuwKXYvK9duM86Z9v0ibL4+vPbC/bRt2eB31ZeXX4Cfzdd13y/nELV4vVH3o8P6cWe/\nTn/uDbgKhg4dSnJysqfLuGxJSa4lRLt16+bhSi5PpUqVmD59uqfLEBERKTMuGOLbtSs5B9obTJw4\nkf3791+64zVk644DbsfZOXnMXbCWr2cuwm53ANCrezuefWyQ0ScxOcXtnJOnznD8xCnsDgc1q1di\n5N/u5ZEH+vLMKx+SkZkDuDZw+vKb+bRoUpd1m3eTl5dPh7ZNCA7y50TSaSZ/G83xE6fp0K4x9w3u\nwenUdN77cDp7DxyjetUInn1sUIkR/nkL1paJEJ+cnEziieOUL1c2pgv5WFz/zMs67dlCLsOZjPxL\ndxIRERE3Fwzx06ZNu5p1XBM+/fRTJk+e7Okyfre6tauxKW6fcezjY2XDpt1GgAdYtGwTA/p0ZObs\n5ezef5SQcoHknLPme4Xy5XjshYkAtGpWj9Ev/YXQkCCyc/Lc7nUmLZOXx3zKvoMJAJQPXci/xz/J\nmHencDzRFRiPJCRjNpvYfzCBvQeOAa4Npj74dBY+PhaKfl3pCMBm8ynld+PKKV/OxjtPdvB0Gded\nVz5Z5+kSREREyhyzpwu4FhQUFPDmm28yceJET5fyhwwZ0IWb2jXGZDIRUi6Q5x4fjNns/qN14ppC\ns3zNVpJPniExOZWqlcNpWL8G7ds04nRqutE3dvsBlq6K5dTpNCJruC8d2rhBpBHgwRXqv5+z3Ajw\nxTZs2cP+Q8fd2o4nnjY2kgLXZlD3Du7xZ1++iIiIiNf53Tu2Xm+2bdvG2LFj2bFjBwAWi8VYE7+s\n8Pez8frfh5GXV4CPrxWL2YyPr5Vd+44YzzR06diCFTFb3c5LSU3ns//8nXkL17J+82637+3ed4RJ\nU+YZy0eWCw7g3sE9CCkXyLpN7g8lWy1W/P1s5OadHdmvWa0iVSuFsWrddqPthrrVue+uW2nXqiEH\n4k/QvHFtqlWNKNX3QkRERMQbeHWIf//99/n888+NoNujRw9q1arFl19+6eHK/hg/P1/j65tvbMq/\nxz/Jhi17qF4tgk7tm3L4WBKHjyYZfcqHBjPqn1/gb/PFx8dqLDlpNptJz8g2AjxARmYO9WpXY+/B\no26B3c/my/6DCeTm5RtLktaJrMLwob2MqTJbdx6kXu1qPPnwAADq161O/brVr/j7ISIiInK9umCI\nnzp1KuB6wLVRo9JZBvDLL7/kX//61zWzxOTWrVtxOp2Ehoby4osvMmTIED766CNPl/W7paZlEr1k\nA3l5BdzatQ01q1UEXGG5dq0qWK2upxz/9vgg3vngO5JPnqF8SBBJJ1NJOpkKQHBwAG1a3IDdbueO\n3h1ZsSauxH2+/3k5G7bsMY6bNapNueBA1mxw/RXD6XRSLjiAieOfxMfq+tV65bn73K5x6nQay9ds\nxWbzoVunVgQH+bN91yG+/n4xmVk59OrWjgF9by79N0lERETkOnLBEP/WW29hMpl4+eWXLxri3377\nbcA1in3jjTde8obX0pKV5cqVY8SIEYwYMYKQkBBPl/OH5OTm88KojzmV4prTPm/hWv7z1tOcPHmG\nT778mZOn07ixdUP+/tTd3FC3Bp//50XS0rP4vy/nELNxp3GdzMwcbunYnE2xe5n8bTS1a1bG19eH\ngl9H45s2imTz1n1u905MTiUzO9etLSMzh1On06hSKYxZc1eycu02KoaHMuzunvjZfHn21Y/I+vWc\nudExjB/1CG+++xX5+a77TJo6jwrlg+l8U/Mr9p6JiIiIlHV/ejrNlClTMJlMVK5c+bJC/LXko48+\nKvEAaFmzYctuI8AD5OcXsmDJRhYt32SsLLN+826+nrmIvwztyfLVcWRm5RIU7O92HZPJxA8/L+fQ\nEdd0m/gjidzapTU1q1eifGgwHds15i9PvUN29tnVagIC/KheJdxtik7F8FAqVazAvAVrmfxtNAAH\n40+w72ACPW5pbQR4gBNJKfwctcYI8MU2xu5ViBevkpJrITXXQniAnfJ+ZeuZHBER8QyvnhNf1gM8\nYGyidK6CwsISS0PuO3iMkWMmcfDwCQBsvj5UrRzOiaTTmE0m+vftyOxf1rids313PM8/MYTd+44w\n8h+fUVBQZHzPYjaTfCqVownJmM1mbL5WImtW4YmH+mMxm0s8KJuSmkFaelaJWiMiQku01apR6fLf\nAJEybl+qja0nz36oblM5hzqhBR6sSEREygKvDvHXg3atGtDohlrs3ncEgIjwUIb070LMhp1uoTki\nvDyr1m4zjvMLCmnVvB5PjxjA6ZQMmjepy/LVW93OqVE1gsKiIsZP+NqtvV2rBpw8lcaRBNcOpg6H\ng8AAf/419nGcTidbtu7DYrG41Wm1WOjXswMbtuwxrlWrRiX63dqegvxCvpu1hMIiO+3bNOL2XjeV\n/hslXic9PZ3sApgRZ7p0Zw8y2Wycs5kymxL92Hi48MInXAOyC4D09Ev2ExGRK0chvoyzWCy8++YI\nNsXtIy+/gGpVwrH6WHn97w8waco8TiSlcHP7pnRo29gtxAOcTklnzDtTKCgswmqx0L9PRxYu20RW\ndi4mk4nE5FSWrowtMYKenpHNmfRMt7bUMxkUFBQy+p2v2LE7HgAfq4XCIjs2mw8P39+HerWr8cm/\nnmP1uu3YbD50at+MrJw8Fq/YTGGRawpBYIAfNt+yswGUJxXZHSzcmMTeoxlUDvOnb4eqhATqvSt7\nru0PGSIicm1SiL8OWCwWmjaqzdh3p7Bz72HMZjN39uvEv//5FOB6mNjpdNKwfg327HftoBoY4Mfh\nY0kU/LqsZJHdzoo1WxnQpyPf/LAEp9PJ8cTTfDZ1HkGB/m5z2W+oV4P6davzy8KzO23edGMT4nYc\nNAI8QGGRnUG3d+bewT0I8LcBsGXbPhav2IyP1UpIuUB27jnMiaQU45ylq2K5o/dN3FC3xpV7w64T\nUesSWRF3EoCEU7mcPJPH3+5qwPpdKeyMT6dieRvdW1ciwM87/zUPCQmBgkzuaXntPEx/PttP5bMn\nxc84bl4xn4Zh13bNM+JMZXYxABGR64V3/tf9OjQ3Ooadew8Drukts+au5JaOzVm0fDMLl24kIMCP\n+wb3oF/Pm8jKyuHm9s148qX/uF0jPSObXXuPuLXl5hXwyAN9iVq0juSTZ2jdoj72IjuJyam0a9WA\n/IJCGtSrwT13dmPtxpLLhhYUFpF6JoMA/wh27I7n/f/ONL635/2jtG9TcuWjtLSSc+elpJ3x7tMZ\njibnsGBDIgs3uh403nkY4hOzeWbwDR6oTi5Xs4g8KvjZf32wtYgqQUWXPklERLyeQvx1IjE5tURb\n9JINzF+8AYCC9Cz+b/IcPp34AocOn2Di/31PueAAtxH2+nWr8dvxP6vVQmZ2Lq8+dz+RtSrz4hv/\nx6a4s0tNPnRfb+7q34Vde4+wftMut2UpLWYzUYvWMW/BWho3qEX9OtXcrm23OwgrX87YJAogrEI5\nWjSrVxpvyXUvItTG6fSzu+QG+lnZGZ/m1udwUjapGfkE+llJPpNH5Qr++PqU/Qe6rzfVggupFnxt\nz4MXEZFri0L8daLjjU1YvGKzcRwY4EdurvsKF06nkwVLNzJr7kqjzdfXSosmddl/6Di79x0FXMHd\n4XDg42MlP7+QmT8t44fZy3ni4QHsO5jgds2VMdto16ohr477jKJf57VbLWZubNOImA1n16HftfcI\nIeUCS9R9U7smtG/bmMXLNxEcHMCdfTtrTvxl6ndTVY4kZ5OTZ8diNnHHzVXZdjCN46fPrkxktZhI\nOJXDjKVHyStw4G+z8GDv2tSrHuzBykVEROTPUoj3gPT0dHJychjy4Bulel1fHzNFRQ5MJhP2okJi\nNmwr0eenX1a6HRcUFBG7bR9F9rNj8EVFdixm3NZvdzidfPLF7BLXO3w0kWdf+cD9fLuD9ZtKTq1Z\nv2kXFrMJu8PV12oxMf79r9z6LFm+8fJe7AWcPJ1GQIB3LM+37WAaOXmuD052h5PNe1Ppf3M1Dp3I\nIq/AAUDPdpWZF3PCOM7Nt/PTqgReurd0dmEWERERz1CIv45YLWaslrNTJUxOV1AusjsxmcDHasbp\ndM2Zd3OexTFMJhP8ZnKNyeS6R2HR2fMdDicmc8kLmM1g/81trFZXfcVTZ0ymsrMqR3p6OjnZ+bzy\nybpLd75KCp0+wNmf9/6ELP49YwcOzv4lI2rdcVw/4LPvdVJq7jX1Os5k5BNg13KFIiIiv4dCvAeE\nhIQQFODL91+Nu+xzUs9kkJGZQ2TNyn/q3tk5eYx+ezJ79h/FbDJxR++beOi+Pvzttf9y5Jhr3ffg\nIH8+eOsZZsxexoKlZ0fGa1avzO29OtChbWNeevN/JCan4gScDifhYSGc/nXn2LYtb2D0S3/h8NFk\nvvtxKRmZ2dzWtQ23dW37u+t1PaS7ilVrt1ExIpS/3NOTmtUvvBnUkAffwOLjf8HvX09Kfsxy4sDy\nm15mTNhxntNu4jefrkRERKTMUYgvA6bNXMTM2ctxOBzUrV2Vca8+TEi5QPYdPEbCidO0bFaPCqEl\n5zgvWx3LyrXbiQgL4e4BXQkPCyEwwI8J457gyLFkAgP8CA9zLRM3YdwTrIzZRm5ePg3q1eTIsSQe\nvLc3bVrewEeTfiIzK4fDx5L47+ezycjMLvEgbbmgAF75271YrVbjAda6tavy6vP3kZmZQ2hI0GW9\n1tQzGazduIvQkCDat2nELwvX8dV30QAcPHyC/QeP88WHL2G1/jasXlkhISHYLIW882SHq3rfizl2\nMofP5h4kO68Ii9nEXV1rEnfgDHuPnl3D32I28eoDzViz/TRHknOoXSWQ29pWxsd67Tzc+son6/AL\n0nKFIiIiv8clQ/zq1avJzs6+5IUup19sbOzlVyYAHD9xiuk/LjWOD8af4Md5q3A6ncYDqjZfH8a9\n9jBNGkYa/ZauimXCx2eXc4zdtp//TXyBlNQMYrftp1qVcGrVODui7e9no1f3dsyOWs1Lb/4Pp9OJ\nv7+NEcP6kZmV41ZT7PaD+Pv5kpt3du551SrhNLqhllu/uO0HmPh/35OSmkGdyCq89vwDVKlUwfj+\nxtg9rNu0m2pVwul7a3uST53hxdH/R06ua8WVls3qGVNvip1OTedA/HEa1q/5e9/K606NigG8MbwJ\nx07mULG8jSB/HyJCbcSfyKbg1ylP3VpXpHywjds7VrvE1URERKQsuWSIj4mJISYm5oLfL57XfKl+\n8scknTpTou3Y8ZNsittrHOcXFDL9p6WMe/VhjieepnxoMCvWxLmdcyIphfmL1/P5tCgKf93gaUCf\nm3ls+O1Gn7y8AqbOWGgE59zcfBYv34zFYsZ+zgT3sPLB+DWqzeat+3E4HFStHMZdd9zC/02ew4FD\nx2nRtC5DBnQxAjzAocOJfDZ1HqNf+gsAi1ds5t//94Nxzdjt+6kYXt4I8OD6ENDxxiZur8Nqtbh9\nEPB2PlYzdaqe/StH7SpBjPpLE/YnZFKpvI2q4QEerE5ERESulIuG+N+OgnqDZ555hmeeecbTZRia\nNIwkNCSItPSzGyC1aVGf9Zt3u/XLyMjh6Zc/IP5oEn42X+rWrur2fbPJxPLVW40ADzB3wVoG3d6J\nmA07OXr8JI1uqOW2Ig1Adm4eg26/hR/nrcRudwX2nXsPc+q0a/67CXji4QFMm7mIzVtd68fv2X+U\nlNQMI8AXO3w0yfi6eP36Ylu27qdT+6YlXn/3zq04nZLOvoMJ+Nl8eXRYX0LKXd7UHG8V5G+lVf3y\nni5Dfoe0PDOpeVbC/YsoZ9MzCyIicmkXDPF33nnn1axDLsDP5svbbzzK9B+XcSY9k+6dW3Nb1zZs\niN3Lptizo/E2mw879xwHIC+/gH0HjhERHsqp02mYTHD3wK7E7Tjodm2Hw8EHk35ky9b9gCtY16xe\nkaMJJ40+Z9Iy+f7n5YSGBHL/kNuoVLECo9/60vi+E1i0bKMR4IttittL3ciqHDx8wmgzm80MHPYG\nVSpVwM/m69bfYjHTq8eNrN+yx/igUb9ONdq3acRN7ZqQdDKVcsGBBPjb/sS7KXLtOXDGl9jk4r+Y\nOGlXJYfIEG38JCIiF3fBEP/2229fzTrkImpWr8TLzw51a3vt+fuJXryBhMRTtG/TiBk/LXP7fmGR\nnW6dWjInOoa8vALijybRq3tb9uw/avRp0+KGEuHbYjZz/5BbOXosmfhjSSQcPwVAWno2P/y8gtee\nv79EfaEhQYRVKOc28h4U5E9YhXLk5uVTWFhEUJA/8UdcI/FHE04SEGDDz+ZLXr5rXv2d/TrTunl9\nPnznGVbGbCU0JIguHVvw6ZR5rFgTR3iFEB4d1o+W2s1VrjM7T/udc2Ri52k/hXgREbkkrU5TRtl8\nfRjQ92bj+MixZHbtPWIcR4SH8v3PK4wpUes376Ze7ap069SS5WvicDohLSMbq9Vi7LQKrtFys8lE\nt86t2P7pLLd7Jp86w8H4427Te8IqlCMoKACr1YLZbMbhcBAY4EfC8VPGB4BaNSph83Ufec/Jyeef\nrz9KWnom1apEGCva1KxWkQeG3AbAzJ+XM2/BWgAys3IZP/Frpn78CgEBfohcD5xOsDvc90v47bGI\niMj5KMSXAYVFRXw+LYqVMduICAthxF/60axxHQAyMrPx8bFyZ79O2O0O1mzYQZWKFWjdoj4ffPqj\n23V27j1C3PYDxvHB+OM0bRTJjt2HAddGTgcPnzCmwNSoFkFaxtkVh2pUq8iHn/1kHPv727h3UA/+\n+/nZNpvNh3q1q7F159mpO0eOJdOtU0u3vwIEB/nT6Iaa2HzPbkwEkJaexeat+6gUUZ6du+Pdvpeb\nm8+B+BM0b1Lnd71/Itcqkwnqls9nX+rZD6Z1y+df5AwREREXhfgyYNbcVcaIdEZmNuPen8YXH7zE\nx1/MZvX6HfhYLQwZ2JX7BvegcYNafDtrCXMXrMXHx+r2IGvVymFuIR4gvEIIH779DEcSkpkxe5kx\neg5wIjGFXt3bsm3nIepEVsVud3Ds+Nn58rm5+ayIcV8FJz+/kN8+Dm0yuVYxCq8Qwpm0TKpWCWfY\n3bfy70++Z+fewzSsX5MnHupPSmoGr477zFi6sm6k+8O5vj5WImteeKMnkbKoeUQeoTY7qXlWIvyL\nqF5OU2lEROTSLhjiN27ceKFvlYp27dpd0etfT3bsOuR2nJ2Tx/SflrJq3XYACgqL+Ob7xTSsX5Px\n708jv+BsCKhRLYKs7FwsZjM7dh1ym4cOUGS348RJ986tjHXni5nMJpJPppGYnMqplHQa1KtRorbI\nGpXZvuvsiLnJZGJAn5s4fDSRjEzX+vJBgQEsXXV2j4AhA7qweMUWNmzZA0DMhp3k5uYT4O/ntvb8\nwcMnuLF1QzbF7aN8aBCPD7+DcsGBv/v9E7mWmUxQK6SQWpoHLyIiv8MFQ/ywYcOMNeBLm8lkYteu\nXVfk2tej+nWrE3vOCLrN14fs7LwS/WI27HAL8AC1a1ZhzYYdbuu8N2kQybETJ8nIzGH1uh3ErN/J\nGy8O467+tzDh45kUryzaoG514na47ltUZGfnnsPG6jVms5k2LeqzImarcV1fHyudOjRj4ic/kJ2T\nR0hwAIP7d+HLb+a71bR0VSy79hx2a4vbcZDWzeuXeE0P3tub1//+AGaz+Yr9PoqIiIiUNZfce93p\ndF6R/8nlu3tgV25u3xSzyURYhXK8+PQ9dGjX2K2P1WqhRrWKJc51OBxuAR6gWtVwY5QcwOF0Mnv+\nGo4dP2UEeF9f63kfIL3/rlv5+F9/Y8I//srmrfvdrnP3nd2I23GA7BzXB4z0zBzWbdyF+Tfhu0Jo\nMHV+M1WmTq0q9LmtvVtQb9qoNrVqVMJisSjAi4iIiJzjknPii8NTw4YNCQ0NveIFSUn+fjZee/5+\nCouKsJ4TaJ94uD/zF2/A18fKmfQsJk2ZB4DZbMLhcHJj64b0va09q9fvcLtejaoRmEwm9w9TTvhh\nzgrjsKCgiNS0TLfzfHys/LJoHeVDgmlQvwYOh/uHg/jDiaSecT/n5Ok07h7YlRmzl+N0OgkrX46+\nt7VnTnQM8UcTyc8vpHrVCP7218HUjazKO6NHsHr9dipFVKB3D025EhERETmfC4b4c0OeyWRi//79\n3HTTTfTr149bb72VoCDtmnm1+Vjdf1y397yJ23vexOfTovjpl1VGu8Ph5J+jHmbl2u2MeXcKgQF+\n5OUX4HQ4adG0LnE7DlA+JMgI6VaLhdu6tnVbUab4fk8+3J9FyzfjcDg5ePgE23a65udv3roPH6uF\nwnOWp2zVvD4ZWTlsP2cOf+MGtdh3MIHKlcrTpEEkTzzUn1H//II9+48Zfbp1amk8xNq0UW2aNqpd\nSu+YeLvsApgRd+3/FSf/1+fPbWVkqYHsAgjxdBEiIl7ugv/JWLlyJdHR0URFRREXF0dRURGrV69m\n9erVjB49mltuuYW+ffvSrVs3/P39r2bN8hunUtJKtK2I2cbCZZsA14OvVquFMa8OZ+x7U4114U3A\nwH6d6HNre6pVCWfRik1sPWdX1+OJp/jf5Lnc1K4JPr5Wt91Xs7JzuXtgV9Zv3k16RjY9u7alW6cW\n5Oblk52dS2GRnXatG7B4+WZjyk1iUiqVKlZwC/AAq9ZtZ+ig7qX9toiXq1Sp7KxklJTk2ggtJKKy\nhyu5PCGUrfdXROR6ZHJexgT1pKQk5s+fT1RUFNu3u1ZEKZ7S4efnR9euXenbty9dunTB9zeb+niL\nhIQEevTowZIlS6hevfpF+3br1o2kxEQiwktnelKR3UFB4dmpLSZcK144fvOTtZhN2H/TaLW4fo52\nhxMTrqk4rg1o3Ps5HA7MZvdHKCxm142sFjMWs4m8AjuOc87zsZgotLtfx2SC3/7GWcwmbL6Wy3/B\nF3HqdBqVq1Rh2bJll+78O3Tr1o28rNO882SHUr2uwCufrMMvKLzUf2ZlSbdu3QC8+j0QEfEWvycz\nXsxl/fG2cuXKPPTQQzz00EMkJCQQFRXF/Pnz2b17N7m5uURHRxMdHU1gYCA9evSgb9++3HzzzVit\nZeRvw1fZnxnBcjqdRqAu/iBl8QGzpZDCwkLMZjO+vr4UFRWRn+++aYyPrw17nvuqNk7M2O32X78G\nnCb8/PzIyclx7+d0GjuyFnM9L+vEbrdjs9lwOIrczrE7TcVXNVitPpjNZqM2k8mEzc8fi6V0Qnzl\nKv4aIRQREZHr3u9O2dWrV+exxx7jscce4/Dhw0ag379/P1lZWcyZM4c5c+ZQrlw5evbsSd++fenQ\noYNWFznH9OnT/9B5MTExjBo1ipycHMLCwnj//fdp1qzZeftmZ2fzzDPPsHPnTkJCQhg1ahSdO3dm\n7Nix/PLLLwB07dqVQ4cOcfTo2Z1UHQ4HU6dO5aGHHiIz8+xDqlarlZo1a1KnTh1uvPFG3nnnHbf7\nderUiSVLlri1tWnTBqvVyqZNmygsLKRNmza89957hISEkJaWxvHjx2nQoIE+7JUyp9NJSnoBwYFW\nbD6l8+FIREREri1/Kj1FRkby5JNP8uSTT3Lw4EF++eUX5s+fT3x8POnp6fzwww/88MMPVKhQgd69\ne9OnTx/atm1bWrV7FafTydtvv20E65SUFN5//32mTJly3v5vv/0227ZtAyA1NZVDhw7RpUsXXnzx\nRfr27UvVqlWpUaMGL0M+J94AACAASURBVL30kluIDwoK4tlnnyUzMxObzYbVaiUnJ+f/2bvv+Kiq\n9PHjnzslmTRS6b1KFwHpCLKANJFiAQRBQRBlF2Wx8IOvhSJgQUF3BYFFUZQaYkCQJiAiKE1pgrSE\nFkIS0ibJ9Pv7I8klQ2hCkhmS5/16+VrOmTv3PjPZSZ4595znoKoqMTExxMTEkJGRke96FSpUoHv3\n7qxfn10T3mg0cuDAARyO7NH5ypUr85///EdL2ENCQqTaUSFISrOycO1p4pMtmHx09O9QmaZ1wjwd\nlhBCCCEK2C3rxN+umjVr8q9//Yv169cTFRXFqFGjqFKlSvaoYFIS33zzDUOGDKFDhw7MnDmzoC5b\nYjgcDm3xW67z589z7Ngxfv/9d7dpLpmZmWzcuNHt2KioKFavXk23bt146aWXePnll7lw4QJjx46l\nVq1aQHZibTKZuHgxewGr1WqlQYMG+er6Hz58mH/84x9au1y5clSsWJHjx49TunRpOnfuzD/+8Q8t\ngQc4d+4cv/32201fo9lsZuXKlSxZsoTExMS/8e6IXOt2XSQ+OXvKlMXmYtX2c27rJYR3yp0mlzu1\nTQghhLiVAkvi86pbty6vvPIKGzZsICoqitGjRxMeHo6qqsTHx/PFF18UxmWLNaPRSLt27dz6/Pz8\nGDx4MCNGjOCZZ57BbDZrx15bMSggIIAPPvhAm4seGxvL3LlzqVSpEm+99RafffYZkZGR+ZLnEydO\n5JsKFRoayvnz56latSpDhgzhgw8+4L333uP06dMkJCSwefNmLJb8O8qaTFc3j1q+fDlPPfUUzz33\nHLt27cJisTB06FBmzJjBRx99xIABA/J9aRG3djnFfR2ExeYiLcN+g6OFNzhw4AAZGRlkZGTQu3dv\njhw54umQhBBC3AMKdTLysWPH2LRpE5s3byYpKSn/BkPib5k8eTJz587l6NGjlClTxm0O+rFjx4iO\njubBBx9k48aNtGjRgm3bsjdY8vHx4fHHH+fdd991O19sbCzDhg3j8OHszaC6d+9Oo0aNtApEkJ38\nJycna+2IiAjOnz+vtb/++ut8C17h6nSZlJTs8pctWrTggQceAGD79u2899572rHjxo3jlVdeITY2\nVutLSUkhOjqakSNH3vH7VdCS06y88d/dng7jppyqHvePtYv3lxzAm5ekJKdZKV+Ct52YOnWq9nsx\nPj6emTNnsnjxYg9HJYQQwtsVeBJ/5MgRfvjhBzZs2MC5c1frgef+kQoPD6dLly4FfdkSISgoiFdf\nfRXInh5z7ULSP//8kzlz5mjTWKpXr87zzz/Pfffdx9GjRylbtizx8fHa8WFhYfz8889ae/369Uyb\nNo2wsDCOHTtGREREvlHBzp07uy3MVVVVuwOQV/PmzfnnP//Jjh07SElJYfPmzXTt2pWHH3443xc5\nu93OqVOn8p3Dm9wrFW9UVcVms5GVlYWqqgQHB+crDeptygfeO+9vQXO5XG5rUgBiYmI8E4wQQoh7\nSoEk8QcPHmTDhg1s2LCBCxcuaP25yVpYWBhdunShW7dutGzZ0uuTinvBQw89RFBQkLbQVa/XYzab\n3eahnzlzBlVVGTlyJElJSQCUKVOGcuXK0bFjRy5fvpzvvImJiXTr1o1x48Yxf/78fEn89SrJtG/f\nntKlS/PFF19gt9vx8/Nj+vTp9OrVizFjxtCnTx/t+pGRkbRu3TrfOXr27Mm+ffu0BCY0NJTevXvf\n2ZtTCO60opCnSN3xe4NOp6Ndu3bs2HF1x+X27dt7MCIhhBD3ijtO4v/44w9txD0uLk7rz03cQ0ND\n6dKlC927d5fEvRCEhYWxcOFCvvnmG6xWK/3799cqw+S1fft2LYEGuHz5MjNmzMDpdLJlyxa3KU4m\nk4nZs2drdegfffRRt3MZDAYGDRqExWIhMjISVVWpU6cODRo0oF27dvTu3Zs+ffpoI/PLli3DaDS6\nXR8gPT2drl27snnzZoxGI88++yyNGzfmyy+/ZOPGjVgsFrp27Up4eHhBv21CeJ233nqL7t2743Q6\n6d+/Py+99JKnQxJCCHEP+FtJ/P79+9mwYQMbN27UFh3mnRoREhKiJe6tWrWSxL2Q1ahRg0mTJmnt\nkJAQNm7cqI3Ot2nTxm0xaa6VK1eybt06rV2vXj2qVavG/v37tek2LpeLHTt20L9/f1atWgVA+fLl\nsVgsVKhQQZsDf/z4cf7973/zv//9jxMnTmCz2dyudfbsWQIDA92m3DRo0IBXX32V119/HR8fH20R\nbkBAAH379i2It6bEOnPmDD/99BN2u13q798jcqtCAbz++usejkYIIcS94pZ/5ffu3csPP/zApk2b\ntOkX1ybunTt31hL3gtp5U/x91apVIzIyku3btxMWFkbbtm05cuQI33//vVa6rkqVKvnm0lssFqZM\nmeJWNhKySz7++eefWvvcuXNMmTIlX534gwcPEhcXR926dTEajdjtV6uh3H///fTr14/p06dz+fJl\n2rZty6hRowAIDg4u0Ndf0u3evZuxY8dqP2tJ4oUQQoji64Z/5adMmcLGjRu1koN5E/fg4GAtcW/d\nurUk7l4kNDSUPn36aO3GjRvzxRdfsG7dOkJCQujVq1e+0W6LxcK8efMoX748qampWn/v3r21Ufhc\nR44coWXLlvz1119an8lkwtfXl+nTp2O321EUBUVR6NmzJwMHDsTHx4e1a9dis9nw9fUtpFcuvv76\na7c647l7C5QrV86DUQkhhBCiMNwwiV+yZInbfOncxL1bt260bt1aRvnuIfXq1aNevXpau3///nz7\n7bdaOzMzk/nz5wPZC+3atGlD69atCQsL47fffnOrntG0aVNGjx7NoUOHSElJQafTMXz4cKKjo7VF\nlKqqoqoqw4cPx8fHBwBFUSSBL2TXK98qJV2FEEKI4umWmXhu8lWnTh3i4uJYtGgRixYtuquLKorC\nwoUL7+oc4s6NGzeO+++/n+PHj+Pj48O8efO0x1wuF2XLluXHH39k3759bs9r27YtEydOxNfXV0vO\nXS4Xy5cvp1GjRvmuc/LkSSpVqlS4L0ZoBg0axN69e7XReJ1OR+nSpT0clRDFk9VqJS0tTT5jQgiP\nua3hdKvVyt69ewvkgqqq5tsBVBQtRVHo3LkznTt3vu7P1Ww250vgjUYjs2fPBrIXxuYtT5mQkIDR\naHQ73mQy0aRJk0KIXtxI27ZtGTNmjPZzcrlcvPnmm/k2+RJC3J1169bx/vvvk56eTuPGjXn//fel\nmpYQosjdNImXW/HFX7NmzWjTpg2//PILkF1Hvl27dmzYsMHtOFVVefnllzGbzdcdXW/UqBG1a9cm\nOjqakJAQXnzxRUJCQorkNYirtm3b5tbetGkTr7zyiowWihJt5syZ/PDDDwVyrms3uDt48CC9evW6\nbiWwO9WtWzepVCSEuKUbJvGy7XfJoCgKs2fPZs+ePaSlpdG2bVuMRiNffvklJ0+e1I5zOBza7q6/\n//474eHhWv33smXL0q1bN0JCQhg2bJgnXobIce1aFUVRZOG5EAUot7zurfqEEKKw3TCJb9GiRVHG\nITxIURS3n3daWhq1atUiISGBiIgIzp4961Y2EqBVq1Y0btwYVVXp0qWLlIv0EsOGDeOPP/7Qdu7t\n168fYWFhHo5KCM96/fXXC2xk2+Fw8Nhjj2l7agC88MILPPvsswVyfiFEtlOnTrF27VpMJhP9+/cn\nIiLC0yF5Ha8pMbNjxw7WrVuHoigyh9fD3n33XTZv3gxAamrqdTftqlWrFv379y/q0MQttG7dmuXL\nlzNw4EB0Op3ckheigBkMBmbPns3TTz+Nqqo8++yzDBkyxNNhCVGsnD59mmeeeQar1QpAdHQ0K1as\nwN/f38OReRevSeJPnDjB6tWrJYn3Arnz43O5XC6MRiMulwun00mLFi0kgfdiVapUcSvtKYQoWLVq\n1dKSidGjR3s4GiE8ryDXnUD2/jV5ZwDEx8fTtWvXfEU07kZxWHviNUm88B61atXi4MGDWltRFIxG\nI1FRUWRmZkrZSCGEEEIUmusNQMmgVH6SxIt8JkyYwGuvvca5c+cwGAw4HA4yMzP55JNPeOuttzwd\nnhBCCCG8SEGuOwFISkpi6NChXLp0CYAmTZowd+5c2Wj0GvknO4sSw+VykZWVla+/du3aREZGMnDg\nQG2BJMCaNWs4fPhwUYYohBBCiBImPDycFStWYDKZ8PPzkwT+BiSJL6F++uknevbsSfv27RkzZgyp\nqalujyuKQmZmZr7nJSQk5OtLSUnhnXfeoX///kyePDnfuYQQQggh/o74+HhtLZ7kFdcnSXwJlJWV\nxf/93/9pCfnu3buZO3cuFouFtWvXsnTpUhITE+nevbvbHLSwsDAefPBB1q5dy7Rp01i7di0ul4t3\n3nmHNWvWEBsbS3R0NFOnTvXUSxNCiEIXHx+PxWIhMzOTyMhIT4cjRLETExPDkCFDsNls2Gw2hg0b\ndt2BxZJO7k2UQOfOnSMjI8Ot788//2TEiBEcO3YMgPnz5/Pll18ye/Zsxo0bh6IoLFiwgIULF/LV\nV18BsHr1ak6dOpWvms3OnTuL5oUIIUQRc7lcjBkzRquc8e677+JyuXj88cc9HJkQxUd0dLTbdN+4\nuDh27NjBI4884sGovI+MxJdA1atXz7dpQvny5bUEHrLrw69evRqbzYaqqqiqisPhyDfqFBkZSfXq\n1d36atSoUXjBCyGEB508eZIzZ8649W3cuNFD0YgbiY2NJTEx8ZbH/f7776xZs+a2jhVFx8/P77b6\nSjpJ4ksgo9HIrFmzaNKkCeHh4TzxxBN06tQp33Hnz59n/PjxOJ1OHA4Hzz//fL4PUUBAAJMmTaJc\nuXJA9peBCRMmFMnrEEKIohYREZFvgV3u7z/heWazmZEjR9K/f3969uzJnDlzANi6dSsDBw6kT58+\nfP311wC89957jBgxgnfeeYc+ffrwxx9/eDJ0kUffvn0pW7as1m7cuDFt2rTxYETeSabTlFD169dn\nwYIFWttms1GjRg1Onz4NZCfn10pNTeXJJ59k5cqVuFwuFEXhxRdfpGHDhnz33XckJCRQpkyZ6+7w\nKoQQxUFYWBgvvviilhxWqFCBkSNHejiq4uVuNg6yWq3YbDYAnE4nixcvZvny5VgsFu2Yjz/+mM8+\n+0zbDRSyNxcaOXLkHe8IWhw2DvImERERLF++XJs+8/nnn0t1muuQd0QA4OPjw6JFi1i/fj1ms5lu\n3boRHR3Nli1b3I7r1asXAwYM4NChQzRq1IgqVaoAoNfrZTRKCFEiPPPMMyxcuBBVVYmMjJTkwouo\nqpqvL2+p5FxOp7MowhF3ISAgQNuhVT5j1yfvitAEBAS4Lc566qmn2L59O8ePHwfg8ccfp379+gBa\n8i6EECVR7h1HSS4K3t1sHLRjxw5eeeUVrR0QEMCsWbMYNWqU23ETJkxg8+bN7Nq1S+ubOnUqXbp0\nubOghfAAmfcgNEePHmXRokX8/PPPqKpKcHAwH374IUajER8fH15++WVPhyiEEELcUPv27Zk8eTJN\nmzalY8eOzJ07l2bNmjFmzBjtmD59+tCrVy/ef/99xo8fz4ABA5g7d64k8F5m3rx5mM1mzGYza9eu\n9XQ4XkmGEAQAP/zwA//3f/+n3YocNGgQ/fr1Y+jQoVoptZEjR7Jo0SL0er0nQxVCCCFuqEePHvTo\n0cOtb9iwYXzxxRcATJo0CcieBjpgwICiDk/cho0bNzJ//nyt/c4779CwYUOqVavmuaC8kIzECwC+\n/PJLt7mEK1as4Ntvv3WrJ3/06FH27NnjifCEEEKIu6IoitsGhsJ7HThwwK2tqiq///67h6LxXiV+\nJN5ut7N8+XLWrFnDiRMnsNvtlC1blrZt2zJkyBBq1qzp6RA94nqLg27WL4QQQghREBo1asSKFSvc\n+ho2bOihaLxXiR6JT05OZuDAgUyePJkDBw5gNpuxWq2cPXuWb7/9lr59+7J69WpPh1kkhgwZ4jZC\n8fjjjzNgwAC3UpN169blwQcf9ER4Qgjh1ex2Oxs2bGDJkiVcvHjR0+EIcU/r3r07gwcPBrLvoLzx\nxhvUqlXLw1F5nxI7Eu9yufjnP//JoUOHgOwar/369SMoKIh9+/Yxb9480tPTmTRpEuXLl6dVq1Ye\njrhw9ejRgypVqrB7925q167NQw89hKIofP755zzzzDMoisJ///tfqcQgRAFTVRW73Y7T6WTLli38\n4x//8HRIIg+LxcK2bduw2Wx06tSJwMBAIP9dybFjx/Lbb78B8NlnnzF//nzq1atX5PEKURwoisLL\nL79MVFQUiqK4Vc4TV3nNSHzt2rXp27cvffr0KZLrrV69Wpvf/dxzzzF79mw6dOhA06ZNef7551m2\nbBkhISE4HA6mTZuGy+UqkriKkqqqHD58WNvgqWHDhowYMYIOHTqgKArnz5/nxRdf1HZs/fe//10s\n3wchPGnOnDlYLBbsdjuvv/6622Iu4VkWi4Vhw4YxadIkJk+ezFNPPcWVK1fYvHkzGRkZmM1mXnjh\nBX799Vctgc993tKlSz0YuRDFg6xhuDmvGVZt37497du3L7Lr5a5Sj4iIYOzYsfker1mzJmPGjGHq\n1Kn89ddf/PTTT3Ts2LHI4itsZrOZF198kaNHjwLZdyKmTJni9oFZvnw5qampWvvAgQPs27dPptR4\nua1bt5KVlYVOpyMzM/OOdyAU13c3u0leS1VVzGazW9/nn3/ON998UyDnB9lJ8m5s3bqVkydPau34\n+HhWrVrF4sWLtZH4vXv3EhwcnO+5MuAhhChsXjMSX5RiYmL466+/AHjkkUcwmUzXPa5v375aOcWC\n+qPtLSIjI7UEHrJf3759+9yOyS0tmVfudtZpaWn5kg/heatXr+bVV1/F4XBgs9l47bXXPB2SuAmp\nluHdrvc7MDExkaysrHx9TZs21do+Pj489dRThR6fEMWdqqpSUOMmbjgSX5jzMhVFYfPmzYV2/lvZ\nv3+/9u8WLVrc8LjAwEDq1q3LkSNH2L17d1GEVmQuX76cr+/IkSPExMRQq1YtmjRpQr9+/YiOjsZq\ntQJQo0YNHnzwQaZNm0Z0dDSKovDEE08wbtw4SUTuUEGO6gJuJUEBdu/eTYcOHbTdJe+WjOre3W6S\n17N8+XLee+89IPt341tvvUWvXr0K7PziznXq1Il58+YRHx8PQKlSpXj66afZvn07iYmJ2nGtW7dm\nyJAhbNiwgYSEBDp37kzVqlU9FbYQ9zyn08kHH3ygDRZ+8803DBo0yMNReZ8bJvEXLlwolMRMVVWP\nJ3ynTp3S/n2rjQOqVKnCkSNHiIuLIyMjw61ay72sa9euLF++XLvl6+fnx3/+8x+t/dxzzzFkyBCq\nVKnCiRMnAHjggQfYvn27W8Web7/9ljZt2tC6deuifxEin+t9tjz9eRM39+STT9KkSRMOHz5MkyZN\nqFGjhqdDEjkCAwP56quvWLNmDXa7nV69elGuXDk+/vhjhg4disvlYvDgwQwbNgyDwUDv3r09HbIQ\nxcL69evdSkzOmjWL5s2bU6dOHQ9G5X1uOie+uN7CyB1VAShfvvxNj837+OXLl6levXqhxVWUGjdu\nzJw5c4iMjMTf35+jR49qC1wBvv76axRF0RJ4gFWrVuF0OvOd69SpU5LE36GCHtU9ePAgY8aMITMz\nE4Dnn3+eUaNGFdj5ReGoU6eO/HHyUmFhYQwdOtStr27dutpak+utqRKedenSJTZv3kxQUJDblFmX\ny1Vs85riJu9037x98nvS3Q2T+MWLFxdlHEUq72LNW42s+/n5af9OT08vtJg8oVWrVlrpzGvnbzqd\nzuvWOq5QoYJbW6fTFfvym/eSxo0bEx0dzd69e6lWrZrU1RVClCgxMTEMHTpUm1q4cuVKFi1axMyZ\nM7W+UaNG8fHHH7v9fRfepXnz5ixfvlxr63Q6mjVr5sGIvNMNk/ibzRW/1+UuztTr9bese5530Wvu\n84qjAQMGMG3aNK3do0cPOnfuzPr167W+UqVK8eSTT1KuXDmWLFmCXq9n2LBhkih6mZCQEDp37uzp\nMIQo1lwuFy6XC5vNho+Pj6fDETlWrVrltjbozz//5Ntvv3WbBrpv3z6ioqIYOHCgJ0IUt6FTp06M\nGTOG//znPyiKwrRp06hcubKnw/I6XlNisijlVpy5nbnCeW+9Fee5xX379qVChQrs3r2bmjVr0q1b\nNwwGAzNmzGDixIkoisK8efMIDAykR48e9OjRw9MhCyGERyxYsEBLFB977DE+++yzW66vEp6TdxFy\nLtlV1/sFBwdrFbyCgoI8HY5XKpElJnPnMjocjuvO8c4rtzILUOxHW1q2bMnYsWPp1auXdoeic+fO\n+Pv74+fnR+3atT0coRBCeFZiYqLbhlwJCQksWLDAgxGJvPr37+82TbZu3boMGjTIbeqMoih06tTJ\nE+GJ27Rz505to02n08krr7zCpUuXPB2W1ymRI/F5P+BZWVnaNtrXk7cecEhISKHGJYQQwrslJyfn\nG/xJSEjwUDTiWtWqVWPZsmVs2rRJW9jq5+fH3LlzGT58OKqqMnPmTB544AFPhypuYufOnW5tu93O\nr7/+ymOPPeahiLxTiUzi8y7OjIuLu+kIc1xcHJD9zb106dKFHpsQQgjvVatWLWrXru1Wuat79+4e\njEhcq1y5cgwZMsStr0GDBtpofHHafb24qlmz5m31lXQ3TOIfeeSRQr3whg0bCvX8N5M3aT979uxN\nk/izZ88CULFixRvu7CqEEKJkUBSFTz/9lF69eqGqKm+++aasERKigPXu3Zu9e/eyadMmAIYPH07D\nhg09HJX3uWESHxsbWyALOa9Xk9XTC0QbN26s/Xvv3r033J3WbDZz7NgxILvckRBCiJLFbrezc+dO\nHA4H7dq1w2QyER4ejq+vLy6XS0bhhSgERqOR6dOn88svv6AoCqNHj/Z0SF7ppgtbVVW96/8AbXWx\np5P3XJUqVdK+0X3//fc3LB25evVqbe5jly5diiw+IYQQnmexWBg2bBjjx4/njTfeYNCgQaSlpbFi\nxQrMZjOZmZk89dRTsuBOiEIQGxuL3W7HZrORnJzs6XC80g1H4rds2XLXJ09JSeHdd99l3759bgm8\nN9x6HDx4MG+88Qbx8fHMmDGDN9980+3xU6dO8emnnwJQtWpVmUMnhBAlzNatWzl+/LjWPnv2LCtW\nrGDhwoVa3+nTp5k3bx5vvfWWJ0IUoliKiYlhyJAh2iDr0KFDWbZsmWzQdY0bJvEVK1a8qxNv2rSJ\nd955h6SkJBRFQVVVIiIiePvtt71iI5o+ffqwcuVK9u7dy5IlSzh37hwDBw4kJCSEAwcOMHfuXNLS\n0tDpdLz11lu33BRKCCFE8ZK3OlmuxMTEfHdvz58/X1QhCVEirFmzxu3zd/HiRXbs2EHXrl09GJX3\nKfDM9MqVK0yZMoUffvgBuDonvnfv3kycOJHg4OCCvuQdyV2cNGLECA4fPsxPP/3ETz/95HaM0Wjk\n7bffpm3bth6KUgghhKd06tSJefPmkZSUBGSXJx40aBC7d+/m3Llz2nEPP/ywp0IUoljy9fW9rb6S\nrkCT+HXr1jF16lSSk5O15L1MmTJMnjzZK6ejhIaGsmzZMpYvX87atWs5efIkmZmZlC5dmlatWvHs\ns89Sp04dT4cphBDCA0JCQli8eDFRUVE4HA569+5N5cqV+eSTT3j88cdxuVz861//YuDAgZ4OVYhi\npW/fvkRFRXH58mUAGjZsKAOq11EgSXxSUhJvv/02mzdvBq6Ovvfv358JEybcdDMlTzMYDAwaNIhB\ngwZ5OhQhhBBepmzZsowaNcqtr1KlStrc3MGDB3siLCGKtdDQUB588EG+//57AB566CGZ1nwdd/2O\nREdHM23aNNLS0rTkvUKFCkyePJl27drddYBCCCFKhgEDBhAfH+/pMG7J5XKRkpKCTqejbdu2+Pj4\neDqk21K2bFmWLl3q6TCEuKXvv/9eS+AB/vvf/9KmTRvq1q3rwai8zx0n8ZcvX+bNN99k+/btQPbo\nu6IoPPnkk7z22msEBAQUWJBCCCGKv/j4eOLi4giJiPB0KDekqipOmw2j0QiA1WrF7nSi8/JRwpTE\nRE+HIMRty1sVKm+fJPHu7ui3TmRkJDNmzCA9PV0bfa9UqRJTp06lVatWBRqgEEKIkiMkIoLJXy7w\ndBg3FBcTyyevT3Trq1K7FiPfnuShiG7Pm0NHeDoEj4qPj8dqtaKqKidOnLjpTu3C81q0aMHy5cu1\ntl6vp1mzZh6MyDvddLOna126dIkRI0YwceJELYFXFIXBgwezZs0aSeCLAbvdzubNm1m9ejUpKSme\nDkcIIbxKUFgoer3erS+0tPfeORDZu68PGzYMm82G3W5n2LBhnDp1ytNhiZvo2LEjL7/8MoqioNPp\nmDFjBpUqVfJ0WF7ntpP45cuX06tXL3bu3Kntxlq1alW++uorJk2aJAX4iwGXy8Xo0aN54403mDZt\nGo8//rjUPxZCiDwCS5XikUFPoctJ5MPKluEfj/fzcFTiZn7++WcSEhK0ttVqZe3atR6MSNyOwYMH\nExgYSEBAgJRxvYFbTqe5cOECkyZNYvfu3drUGZ1Ox9ChQ3n55ZelbmcxsmfPHn7//XetnZKSwsqV\nKz0YkRBCeJ9qde+jQvWqJMcnUOeB+ykVFurpkMRNXK9CnqzbE8XBTZP4JUuW8OGHH5KVlaUl8DVq\n1ODdd9+lSZMmRRKgKDp2uz1fX3x8PBaLBUVRuHLlCmFhYR6ITAghvIPDbmfxe7Mwp6YCsPuHTfgH\nBNL5yf4ejkzcSOvWrWnatCn79+8Hsnek79dP7p6Ie98Nk/ghQ4awd+9eLXlXFIXmzZvz0ksv4XK5\ntA/DnWratOldPV8UvJYtW1KjRg1Onz4NgI+PDz/++CNOpxOA5557juXLl98z5dSEEKKgxZ87ryXw\nuU4dPiJJvBfTu2U6hgAAIABJREFU6/XMnTuXDh06oKoqy5Ytw2QyeTosIe7aDZP4PXv2oCgKiqJo\nfXv37uXZZ5+964sqisLRo0fv+jyiYBmNRhYuXMiaNWtIT08nNjaWjRs3ao+fP3+eX3/9lfbt23sw\nSiGE8JyI8uXwMZmwWSxaX/lqVT0YkbgdOp1O2yxIEnjvYLFYmDdvHvv27aN+/fqMHj2a4ODg237+\nX3/9xfHjx2nWrBkVKlQoxEi91y3nxOeOxIuSISgoSNu9dvbs2fke9/f3L+qQhBDCa/j6+fHES6OI\n/t+XpCenUPv+RjIKL8Qd+OCDD4iKigLg6NGjxMXFXTfvUFWVVatWceHCBR5++GEaNWrE4sWLmTNn\nDpB9p2XmzJl07NixKMP3CjdM4h988MGijEN4oaeeeor169eTmLNJSO68QiGEKMkatHiQes2bYbda\n8b1FZTanw4Gi06HT/a2KzkIUe1u3bnVr//LLL2zbto2PPvqI+Ph4unbtiqqqZGVlMX36dAC+/vpr\nZs6cyYIFV/eScDqdfP7555LE5/XVV18VZRzCC4WGhlK/fn1++uknIPuLXd7pVUIIUVLpdLqbJvAO\nh4Pv5v+PAzt24hcQQLenB9Cs40NFGGHJ9fXXX/PVV1+h1+sZNmwYTz75JCAzC7xNlSpVOHTokNYu\nU6YMkyZNwpIzVW3dunUYjUZtXR5kl8JesWIFVqvV7VwZGRlFE7SX8e59osXfMnPmTH744YcCO5/N\nZnP7oMyZM4cFCxbk2+jkbnTr1o3XX3+9wM4nhBAF5c+9+9i37Sf8AwN56LFHiShf7rafu3vDJvZt\nyx4AyUhLY/W8BdRsWJ+QCNkYqjD99ttvfPzxx1r7vffeo169ehw4cACz2QzAtGnTeOONNwr0b5n4\n+8aPH8/48eNJSEggODiYAQMG5JtOkzeBz2UwGOjUqRObNm3S+p544olCj9cbSRIvbuh6Hx6XyyW/\n+IQQxd5fvx/kq/c/0trH9v/O+Dkf4mMyoaoqp4/8SfLly9Rpkl0n3m6zsS0qmpg/j1OlTi2SLsW7\nnc/lcnHxTIwk8YXswIED+fo2bNjA0qVLtfbq1atp2LAhjz32WFGGJq7RoEED1qxZQ2xsLBUrVsTh\ncLBgwQK3UfXcHVtdLheQPf999+7duFwuateuTaNGjWjdunWJ3QxKkvhi5PXXXy/QUe0NGzYwceJE\nre3r60t0dLTUihdCFHsHf9nl1janpnLq8BHqNW/G6nkL2Lt1OwBGX1+GT5rAni0/aiPvZ47+SaWa\nNdyebzAaqVy7dtEEX4I1bNgwX5/RaMzXd/z48aIIR9yCwWCgZs2aWnvmzJl8+OGHxMXF4XA4cDgc\nAERERNC5c2e3L2MnTpygX79+JTaBhztI4s+cOcOuXbvYvXs3Z8+eJSUlhZSUFBRFISgoiLCwMOrX\nr0/jxo3p3LkzETLqcM965JFHSEhI4LvvvqNUqVK88MILksALIUqEUtf5XVcqLIzkhEQtWQewW638\nFL2GkwcPux174UwMHR57lL3bthMQVIpHBj1JUMjtl88Td6Zt27aMHDmSJUuWaLvLd+7cmW+++cbt\n7nKLFi08GKW4kVatWrFixQo+/fRTvvjiC60/MTHxuhtSnj17tgij8z63ncT/8ccfzJ49m127duV7\nLHexSFZWFgkJCRw/fpzVq1czdepUHnroIV5++WXq1KlTcFGLIjN48GAGDx7s6TCEEKJItenxCEf3\n7OPy+fMAGHx82BoZRdse3fItkLRZrYSUjuDy+QtaX2jpCB4Z9BSPDHqqSOMWMHLkSJ5//nm3QgzT\np0/njTfeQFVVxo4dWyIrmXizffv2sX37dqpUqcKjjz563bsn9erVw9fX122tXocOHYoyTK9zW0n8\njBkz+PLLL4Fbr+7O+7jD4WDr1q1s376dkSNHMnbs2LsIVQghhCgagaVK8a/332Xem+9w7sQpHDYb\nR/fsw261UbNhA04dPgJkz9lt1bULPiZflnw4G2tWFj4mXx59dqiHX0HJdm0ltU6dOhEQEAAgA1Ne\nZtOmTUyYMEFr79y5kwkTJhAZGUlSUhKQncDXqlWLdu3acfz4cYKDgxk4cCDNmzf3VNhe4aZJvMvl\nYvz48axfv15LzhVFoUGDBrRo0YLq1asTHh6On58fNpuN9PR0rly5wpEjR/j999+JjY1FVVWcTidz\n587l0qVLWq1PIYQQwpvpdDouno5x6zt1+AgP9+ujJfH+QYGUqViByxcuYrfZALBbbWSkpRV1uELc\nk5YvX+7W3rFjB6+99hrvv/8+L7zwAjqdjvHjx/P8889rU2pUVS3Rc+Fz3TSJX7RoEevWrdO+0T7y\nyCOMHTuWGjVq3Oxpmn379rFgwQK2bt2KqqpERUXRsGFDnn766buPXAghRLGSmppKZmYmbw4d4elQ\nNM6cqhi5XKrKlpWRWjsjLZ2P/v169kBXzmCXqqqs/O88ov73ZZHGejMpiYnYZMdt4YVMJpNbW6fT\n8eabb2qVhgwGA+vXr3ebE3/hwgV27dpV4qdF3XALueTkZG1LW51Ox+TJk5k9e/ZtJ/AAzZo147PP\nPmPKlCnodDpUVWXOnDkltii/EEKIe4veaIS8UzOus/Nq3gQ+X7+4p+XuILp582b5eRaSZ599Fl9f\nX63dpEkTt1KhDoeD1NTUfM8LDAwskvi82Q1H4tevX4/VakVRFEaPHq3teHYnnnjiCS5cuMDcuXNJ\nS0tjy5Yt9O7d+47PJ4QQovgJDg7Gx9+fyV8uuPXBRejkwcN8MeN9XE4nOJ34BQaSlbNxEECfEc+S\ndCmeHWu+1/qad+pIv1Hec0fhzaEj8LvOYsF7XVJSElu3biUwMJBOnTrh4+Nz3eM2btxIRkYGqqqy\naNEinn322Vuee8GCBcydO1drDxs2jDFjxhRY7CWR1Wpl1qxZbNmyhYoVKzJ+/HiaNm1KZGQku3bt\nokqVKuzcuZP9+/e7Pa927dr88ccfXL58GciuYtOsWTMAMjMzuXTpEtWqVUOn05GYmMj06dM5cOAA\nDRs2ZMKECZQvX77IX2tRuGESv23bNiD7l+rIkSPv+kIjRoxg8eLFZGVl8fPPP0sSL4QQ4p6w7bvo\n7AQ+hyUjg+adOpKekkLDli1o1vEhXC4X4eXKcuboMSrVqkGrrp09F3ARGjBgAPHx8bc+sBC4XC63\nO/s6nQ5/f38URcHlcqEoivbvvMf95z//YeHChW4VUFRVxWazYbfb0el0+Pr6kpWV5Xa9L774gpUr\nV+ZbNFuYypYt61Yb/V63cOFCVq1aBUBKSgrjxo3j+++/5/jx4xw6dIi0tDTatGnDV199pW3wBNCz\nZ08GDBjAzp07CQoKokWLFiiKwubNm5kyZQoZGRlUrFiRjz/+mDlz5rBjxw4AfvnlF9566y0+//xz\nj7zewnbDJD4mJgZFUWjRosUNv9n+HYGBgTRp0oRffvmFv/76667PJ4QQQhQFh829PrWqqpSrUpng\nsDAqVKsKZCeQLTp3okXnTp4I0WPi4+O5cPEivqWCivzaetU9iXG5XFwxmzGQPVdYBZw5/3vtPYgM\niwWHxZLdUNzP5XQ6ycjMzH1IowJJGWaKijUtvciuVVT27dvn1k5OTuaLL75wS7JbtWrF9OnTmTx5\nsvbla9asWcyYMYMuXbpox9lsNqZPn64dc+HCBebMmcPevXvdrrF//35cLhe660yFu9fdMIm/cuUK\nAJUrVy6wi9WuXZtffvmFS5cuFdg5hRBCiMLUultXzv51QmsHhYaw9ouvANgaGcUzr4+nTpPGngrP\n43xLBdHylReL/Lrnt+4g8cAht74ydeuQcix7oFAhO8mp/lh3zny33u24oPJlyYzLvoMQel9t7BmZ\nmM9drfOvAGVaNOXyb1endVR6uB2lHyi6n/OvH/23yK5VVOrXr88ff/yhtQMCAti5c6fbMbt376Zu\n3bpud0+2bNnCb7/9RsuWLbW+tLS0fHPlY2NjqVevntt0nPvuu69YJvBwkyTekvMNtVSpUgV2saCg\n7G/qsrBVCCHEveL+tq0pFRrKsf37MQUEsGnpCu0xl8vFL+s3lOgk3lPCGzXgyuE/cdkdAJjCw1Bd\nznzHWZKS8Q0PxXolBRSFoCoVSY85pz2efOwEpWpUc3uOotdTplkTQu+rTcbFOPzLlcW/bOlCfT0l\nwciRIzl//jw///wzZcqU4Y033mDFihVux+j1etKuU6I1ISEBgCNHjvDhhx9y4cIFQkNDSU5O1o55\n+OGHeeyxx5g0aRJHjx6ldu3avPPOO4X7ojzohkm8w+FAUZQCmUqTyz+nvJXD4SiwcwohhBCFrXr9\nulSvX5cr8Zfdknig2I7yeTu/iDDuG/IUycdOoPf1Jaz+faSejiH1r1PaMTqjkbhdeyB3TYOq4nOd\nqT9+pcNRXS7SY86i9zNR6eH2GPxMGPxM+JUOL6qXVOwFBQXx0UcfYbPZMBqNKIpCcHAwBw4c0NYg\n1KxZkxo1aqDX63Hm/Nz8/f1p3LgxdrudcePGaZtAQfYsD6PRSNu2bRk+fDgGg4HFixdjsVjyla8s\nbm5rx1YhhBBCQFjZMjRu04qDv+wGQG8w0K5Xdw9HVXL5hgRTrtXVXTvD6tXBmWXhypFjGPz98CsT\nweU9B9ye43I4ssuG5paMVBRC6tSkfNuWOK1WdEYjinwx+9uOHz+uVYRp2LDhTY/NO0DcuHFj1qxZ\nw4gRI4iJieGvv/7igw8+4Pnnn+d///sfTqeTzMxMBg4cyEsvveSWwEN2nflFixblu4bJZHKbC//H\nH3/w8ccfExcXR5cuXRg7diwGw72dBt/b0QshhBBFzC9PfWq9Xo+vn58HoxF5pZ6KISMunqCqlSjd\nrAmWpCv5knhjYCDVe3cjYf9BAEo3ux+/0hEA6PPUKxe377vvvmPKlCla++WXX+bJJ59k1qxZbNy4\nkXLlyjFu3DiaN2+OqqocOXIEk8lErVq1gOxKNTExMW7n/OOPP9xq81utVpYsWUJgYCDmPCVe/f39\nGT58OP7+/jz33HM88MADREdH8+mnn2I2m3n00Uf55z//ybhx47Q59N9++y2hoaE899xzhfiuFD5J\n4oUQQojblJKYxG+btmhtm9XKtqhonh431oNRCYCUv04Rs3aD1k49HUvdoQMIb1SfpENHszsVhcu/\n7ccYGECNvj215F3cnYULF+ZrZ2VlsXLlSiB7Eeqrr77KihUrGD9+PIcPHwagc+fOTJ8+HT8/PxRF\ncUvaAwIC3MpMQva+AC+99BKLFy8mOTmZ+vXr8+uvv2qP79+/n88++4ypU6dqz121ahX+/v75FsHu\n2bNHknghhBCipLBaLPl27rRmZt3g6OIvNTUVa0aGV1RSMaigz9O2Xklmz0efoebUifQBlJyfnd2c\nwZ9fLcdedCXf/zZrWjqpTtetD/wbCquuf96RcYD09HTmz5+fr+/RRx/Fbr9asnXz5s3s3LlTq+mf\n97O1a9cunE4nev3Vn6rT6WT27NkAKIrCiRNXq0ZB9mj9qFGj8iX/33zzTb6Yf//9dx5++OG/+Upv\nrqjr+t8yiV+3bl2B1XU/efJkgZxHCCGE8ISylSpStW4dYo9d/bv44D8KNhEQBUMlu168ooIL95rv\nXKddEsTHx3P+wgXUAp425KvX45dnfrklp4CJKU+fqqqkZ2W59QGkpKfjo9drm2g5XC4y7XZcqqol\n8KqqYne58MmT0KuqSobF4tYHkJyRQUDOotlc6RYLKuBnMKDkXCPFagVzwdX9V6zWAjvX7bplEn/4\n8GHttocQQghR0g1741V+3biFK5cv06Dlg9Ru3MjTIXlMcHAwdr3OI3Xir2VNTuXk8ijsOWWsDX4m\nlKzsctl6wDc0BGtyinZ8mWb3U7FDW0+Eelt+/ei/BAcW/CZaqq8vma2aFug5M4HM1HR8zBnYA/yx\nBAehuFyEnL2IKSUNp9FIWqVyOI1GfP86rX2Bcul0KKUCUTIt2rn0Oh26ShXQJVxdwKooCvYy4fgk\npbhd11qhLK4sC6Y0MyqQUTqctErlsCWnUiruMorTSWZ4KOnly4CikKqqKC4VVV/wC5f9d++/9UEF\n7KZJ/LW3DIUQQoiSztfPj1bdupCRlk5onjnVmWYzF06doXy1KgQGB3swwpLJNzSYesOfxnz+Ii67\ng5g1P7g9bjD5Eti4PlkJSQRVrUzZls08FGnxZA0Owhp89UuHqteTXL1ydhWgPKPiSbWqEng5CZ3d\ngd3fD2OW5Tpny59/2vz88NOlocuZKqMqCllhIaSbfNHbbKiKDpcxO621hAZjCb3OZ1BRUPXF5x7M\nDZP4MWPGFGUcQgghxD1h37afWPvFYqxZFirWqM6Q18ZxKfYsS2bNwW61YjAaeeKlF2jUuuWtTyYK\nlM5goFS1KtgzMkGngzxzoxWjkZA6tajU6SEpIVmUFPek2e7vhyHLisFuxyfLgktRULk6vSkzIpSM\n0uH4X0lBl7MmwOHrQ1Z4CPZAfwISklBUlYyIMHxT0wk7GQs6hfRypckKC3G/tsuFwWrD4euT/f+H\nYkaSeCGEEOI2ZZkziF74BXabDYALp8+wZUUkscf/wp4zJ9Zht/P94q8lifcgY4A/5Vo249KuPUD2\nDqzms+cxnz2PKTyUWk/2xeBXvDcC8lam1HQMeRa36lQVc0QoAHq7A5u/H04fIwl1a+J3JRWXXkdW\naAg+GVkEXUpAcbnIKB2GzuEk+OLVRbohsRew+5lw5PxcfcwZhJ45h97hxGnIvitgCwwo2hdbyIr0\na0lKSgqLFi2ie3fZGEMIIcS9w+FwcPavE5w/fUZL4HNdvnCB9GT3ubrm1LR8FTJE0SrX+kHqPfc0\n5du1Qs3dsRWwJCVfLTkpipyq5J/Oorc7CExMxi81ndCzFwk5exGnjw/mcqXJLB2O4nIRfioWX3MG\nPplZhMZewO+a+fEK2Yl7ruBzcegd2T93vcNJ8Lm4Qn1dnlAkJSb37t3L0qVL2bhxo1tpISGEEMLb\nxZ87z6JpM0lLTkan0+EXGEBWnmShXtOmVKhejV3rN2p997dtre0UKTzHNyQY43VGXx1ZJbcsqCfo\nrTZKXbiEMdOCNdAfu58vxqycO1dGIwaLe2UXvysppJUvja85E1WnQ3E4tPKguXQuJ9cyJafhn5RC\nVmgwBqv7l+1r28VBoSXxaWlpREVFsWzZMk6fPg1cXSirXOdbmBBCCOGNNi1bQVpyMgAulwu71cZ9\nTZuQmniFBi0fpN2jPVBVldCICM78eYzKtWrStqfccfYWpWpURe9nwpmzgFLR6QitW8fDUZUsoTHn\n8MmpQGNITiUzNJj0MhH4ZFpwGPUEXHHfiAlFofTx09pIut3XJ985LaWCcJh8CUhM1kb3TRmZAPhk\nWbD5mfDJs2jWElzwlX48rcCT+AMHDrBs2TJ++OEHrDnzA/NWuTEYDHTs2LGgLyuEEEIUipTEJLe2\nw26nZdfOuBwOajSor424t+vVg3a9engiRHENe2YmOoMBvY8PBpOJOgP6k3DgIC67nfBG9fEvW9rT\nIZYYisOpJfC5fM0ZqIpCwJXsKTFqzn+5Q7w2fxO+GVfvlhitNrKCgzClpqMAWcFBZEaEgk5HernS\nGLKslD4Z43YNl16HuXQYPuZMbIH+2WUmi5kCSeLNZjPfffcdS5cu1TZ0urY8Zf369enTpw+PPvoo\noaGhBXFZIYQQolDYbTZcTie+fn40bt2Ki2ditMeCQoJZPOMDAPwCAhjx5v+jfLWqHopU5OWy24lZ\nt4m0UzEoej3lWjWnbMtm2NLSyEpIwmW3Y0m6QkCFcp4OtcRQ9TocPkYMtqvTqe2+vvhfuTqnXQGs\nAf5khQbj8PPFNzXdLYkHyAoNJqVKBRSXisvHiDEzi5CY8xitNmx+vm5fAgAcfibSKpUv3BfnYXeV\nxB88eJBly5axbt06LJbsb1l5k/eIiAgeffRR+vTpw3333Xd3kQohhCj2UhITeXPoCI/G4HI4cOXs\nOKno9Sh6PTqDAdXlAkUhPeXqrf+sjAw+nfB/6H3y3+73JimJifiVL94JDUDiH4dJOxUDgOp0Erfz\nV/zKleFM1PeoOeUKz23ahjEokFLVqngw0hJEUUipWpGQmAsY7HbsfibM5SIwncxwP05V8cnMwpSW\njiUwAJdOp9WEdxoN+F1JodTFeKxBAaRVLEdI7AWMOfPcfbKs2H190Nvs6FQVm78f5hJwt+VvJ/EZ\nGRmsWbOGZcuWcezYMSD/qLuiKHTq1Ik5c+ZoW+YKIYQQN1O2bFlPh4DT6SQzJ4GH7ETQ12jEmLNN\nvdPpJDMz0+05OkXBz2gs0jj/Lr/y5b3i/S1slqTkfH2pJ05rCXyutNOxksQXAsXpxGCxYvczudVl\ntwUGcLlBbXROJy5DduqZFRyEX2o6kD2VxmCx4puZPfpuSjOTUrEceocDVafDlJqGX5oZAENSCopL\nxXjNYli9w0l8o/vQOZw4rzOHvji67ST+6NGjLF26lLVr15KVs6o7b/LeuHFj+vXrx9tvvw1AqVKl\nJIEXQghx25YuXerpEIiKimLq1KlufX369GH8+PFae9iwYRw+fFhrv/3221I62UuUql6VK0eOaW3F\nYKBUjWokHTzidpwpXKb1FjRTShohsRfQuVw4DXqu1KiCPcD/6gGKoiXwAMnVKmFJTsVgteEyGAi+\ncMntfL4ZmSRXr4zidFIq7rL7Y+kZ2AL88Mkz5cYaFICq1+PMyT11dnv29YpxMZWbJvFZWVmsXbuW\nZcuWceRI9gcgb+JeunRpHnvsMfr27UvNmjUBtCReCCGEuNc0b94cvV6PM09d8UOHDjF27FgGDBhA\n69atmThxIk8//TSqqtKnTx+6detGcnIy77//Pvv376dhw4a89tprlClT/BbSebuQOjWp+HB7kg4d\nxWDypVzrBwmsXJEyLZqSsO93VKeL4No1CWtQz9OhFi+qSvC5OG36i97hJPjCJVIqVyDk3MXs0pJB\nAaRUqYjLmJN66nRk5XyZMliscMH9lDqHgzJHT6AqCk6DXqtUA2D38yW1cgWCz8dhzMzCFuBPaqXs\ndQ56q42wM+cwZllwGgykVKmAtRhWpoGbJPHvvPMOa9asISMje85SbvLu4+NDp06d6Nu3L+3bt5c6\nuEIIIYqNSpUqMXPmTBYsWEB6ejqXLl3SBrF2797Nl19+ycSJE7WNnFavXk2tWrXYs2cP27ZtA2Db\ntm2kp6czb948T72MEq30A40o/UAjt74K7VpRpvkDqC4nRn//GzxT3CnF5UKfZxoagN5mJzTmvDbt\nxZRmJvh8HKkVyxFy7iI+GVlYA/1JrVweh8kXc5lwAi4noQAOowFf89VpayrgNBjQOxzYfX1IrVgO\nZ87/hsWcxy81HaPFSnLVigTGJ2LMKS2pdzgIOXuR+IZ1iuWI/A0z8G+//ZaMjAxUVUWv19OmTRum\nTJnCzp07+fjjj+nQoUOxTOC/++477rvvPoYPH+7pUIQQQnhAx44d+frrrxkwYIDbiLzT6SQyMpLY\n2Fi347ds2cJvv/3m1rdv3z6354qi48iycHHHLs5E/8CVo8e1foPJVxL4QqLq9VhKBbr1ZZUKyjdv\n3cecSWjsBUxpZnROJ36p6YTEXgRVxeHjQ1ZwKdLKlc53LgXIDA3GYTBgtNoIP3MOQ5aFkHNxWsJu\nsNqyF7vmmyvvQHfNF4zi4pZz4oODgxkxYgSdO3emevXqRRGTx5w7d453333X02EIIYTwAhUqVMjX\nV7NmTYxGo9vu4xUqVEBVVQ4cOKD11apVS9aFecjpqO/JjIsHIPXkaVx2OxH3N8yeUaCqKMVwANIb\nJFetRNClBIxZWViDAjCXicDXnKFVkAGwBfhhylnMmsvXnEHwuTgCchclp0LWNUk8gCklFUNOMm6w\n2gg+F5cvYTdabZgjQgnMc027yReXly88v1M3TeJVVSUtLY1Zs2Yxa9YsqlSpwiOPPELPnj2LXcnI\n+Ph4hg0bRkpKyq0PFkIIUey1a9eOrl27snHjRgDatm1L3759cTqdzJo1C8iefvP8889js9mYMGEC\nJ0+epEqVKrI+zEOsySlaAp/rytHjqC4Xl37Zg8vhILxxfSp2bCe7xxcw1aAnrZJ7/f3kapUIOXsR\nY1b2nPjUyuXR2x34ZF5dkGrzM7nVjAfwycwiq1QgppyKNJZSQfiluSf/RosFa1AgfilpWp81wJ+0\niuVAUTClmbGbfLPbxdQNk/h169axatUqoqOjSUhIAODs2bPMnz+f+fPnU69ePfr27UvPnj0JCwsr\nsoALw4EDBxg7dizx8fG3PlgIIUSJoNfreffdd3nxxRdxOBxUq1YNwK3EpMViwW63U716dZYuXUpa\nWhpBQUGSIHqI3mRC0evcSkrqDAYubP1ZayceOIR/2dKE1a/riRBLFIe/H4l1a7r1pVSpQGjsBYxZ\nFmx+JlKqVKD0iRiUPNPPXHo9vuZMbfMmv7R07CZft5F3S1AgqZXLoyoKvuYMbP5+2V8idDrSKpUn\njeLvhkl8jRo1ePXVV/n3v//Njh07WLVqFVu3btVuIf7555/8+eefzJw5kw4dOtC3b186duxYVHEX\nCIvFwoIFC5g7dy52ux2dTqctVhJCCCEge7Q9V2JiIvPnz3drL1iwQCtLWapUqSKPT1xl8DNRrvWD\nxP38a07bj4CK5TGfcy99knkpoUQm8ampqShWK/6793s0jgxArygYHQ6CDh3DAvgZDCiKgqqqODMy\nMRrcU1RXRiY2QK/T4XC5sMcn4BefgA2wAZgz8L2cWOSvJZditZKamnrrAwvQLefE63Q6OnToQIcO\nHUhJSSE6OpqoqCiOHj0KgMPh4Mcff+THH38kODi40AMuKLGxsQwdOpS4uDgAAgMD+fDDDxk1apSH\nIxNCCOGtkpOT8y1Yzb1bLbxD2RbNCKlTC1tqGgEVymEzZxD/6z7IUyI7sFL+9Q6i6Bh1OvxzknYA\nu9NJut08Vfb6AAAgAElEQVSOj06HTlHQXedOlktVscpicTd/a8fWkJAQnnnmGZ555hmOHTvGqlWr\nWLt2LcnJ2YsRUlJStB/Itm3beO+99+jVqxf169cv+Mjv0qVLl7QEvmPHjrz99tuULwFbUgshhLhz\ntWrVonbt2pw4cULrk42evI9vSDC+IdkDi6bQEKp278ylX37DmbPINaROzVucoXgKDg4mzW4ns1VT\nj8YRfiIGxZyhtY16PebqlTGdvaj1uRQFBRVFBUtQACnVq6DqvXdRsv/u/UU+mP23kvi86taty8SJ\nE3n99dfZunUrq1at4ueff8bhcKAoCikpKSxatIhFixZRvXp1evXqRa9evahSxTu2OVYUhaZNmzJm\nzBjatm3r6XCEEELcAxRF4dNPP6VXr16oqsqbb75Jjx49PB2WuIXQurUJrVvb02GIHOo1I+0q5Kta\no1NVrlStiC0wAJdPdnUZn3QzAYnJuHQ6MspG4DD5FlXIXumOk3jtBAYDXbp0oUuXLiQlJREVFUVU\nVJTbKMWZM2f45JNP+OSTT2jYsCGPPvoozzzzzN1e+q40b96cb7/91qMxCCGEuPeEh4djMpkAJIEX\n4g6Yy2aXn1RypjhlhofgMhjgmkTemGXNHokPLYUhy0L4ydiri11T04mvXwvVcNep7D2rQF95eHg4\nw4cPZ/jw4Rw8eJBVq1axfv160tKurhE+dOgQhw8f9ngSXxw3qhJCCCGE8Ha2oAAu16uFb1o6Tl9f\nrEEB6BxOTClpWl15l6IQlLNQ1Z6QhDXAj7zj9zqnE1OamaywEA+8Au9QaF9fGjduTOPGjZk4cSKb\nNm0iMjKSXbt23XX1l61bt/LCCy/87edVrFiRH3/88a6uLYQQQoh7i6qqXN5zgCtHj2Hw86d8u5YE\nVpQ1cJ6kOJ24DHoyS4drfS6jgYR6tfDJyMSUnEpgYrL2mDHLgv06U2ecxXQTp9tV6PcgfHx86Nmz\nJz179iQ+Pp7IyEiioqIK+7JCCCGEEFw5coy4n3cDYCWF06vXUn/EMxhK+Hxqj1BVgs9fwj/xCgCZ\nEWGkVsrenAkARcEWGIBvziZPeVkDAzBYrPhkWQDICimFLdC/yEL3RkU6kahs2bKMHj2a0aNH3/E5\natasyb///e+//bzAwPxb+AohhBB/l91ux26343K5OH78eLHbwby4SY8569Z22exkXIzDv2wZDH4m\nFJleW2R808wE5CTwAAGJV7CUCsQW6I+POROHrw9Oky+Z4aEEJF5Bl7Npl8P3/7d352FRle0fwL+z\nsQ6roiKoKIrmkvtWZIkLpuZSmuVa76tGm2+WqaW5pKW0vJhbi5aGmiu5YG5JaGoGP7V8xbVMRVBZ\nZGdgGGbO74+R44yADDow2/dzXV7XnDNnuQ8Hxnue8zz344QiXy/oFHIob6UDkEBVx+du8u+gbG40\nQOPGjTF58mRLh0FERA5q+vTpKC7WtwaOHz8eS5YsQc+ePS0cFVXGpW4d4NLluyskEtz49TjUWdmQ\nu7uhcXgYPIOso3KevVPcaUU35JyXD59rqZDeqQGf38AP+f71kFffD8qM2xAkUuQ1rA+5ugS+/ySL\n/eKdLl9DRqtglLq61OIVWBebS+KJiIgsJTk5GUeOHBGXtVotNm7c6NBJvDovHwlRKy0dRuUEfbIj\ng75/vABAnaXvb11aqMLlH3frZ/y0skZddV4+oPSwdBhmpfZUQriZLv6oBQDyYrWYwAOA8lYGNC7O\n8L6RJq7zvZqCAr86RrdIAn1ZygIm8URERFSViiqbyWQyC0RiHerXr2/pEMopLS1FSUkJJBIJnJyc\nxPtz69YtAPrutYLB7K0SAL7u7tZXtU7pYZU/34ehcXNFdlAgPG5lAIKA/AZ+cDcYwAro74fzPaUm\nJYIAia78bK2lzk41Ga7VYxJPRERkosDAQPTv3x8HDhwAACgUCowdO9bCUVnOpk2bLB2CkT///BOT\nJk0Sk3QnJyds27YNmzZtwpo1awAADRs2RGpqqrhPSEgIfvjhB4vE64hc8gqgKFYDADzSMqGq4w3n\nQpX4fom7KzTubkB2rtF+RT5ekJZq4ZajL1uu8vFCsbcnpBoNXHLyoVPIUezl4VD95JnEExERVcPC\nhQtx5MgR6HQ6bN68GYGBgZYOie6Ii4szamVXqVTYsmWLmMADQGpqKjp16oS0tDQ0b94cU6dOtUSo\nDklRqIJbVs7d5WI1pFodsgP94X47G1onBXIC/SHIZXDOL4Brbj4EAIX16kCjdEeO0h35Jfo68lon\nJ8iLilH30hVI75QvL/ZQIqt5E0tcmkUwiSciIqoGqVQK+Z1ZIpnAWxd///L130vuJH2GWrRogW++\n+aY2QiIDMk1puXXyomK45xfqE/GiYkhLtbjdIgg5jQNQcjsbOplUnNBJUloK1+w8SEq1KPL1gnvG\nbTGBBwCX/AIoVEXQuLnW2jVZkpV1ACMiIiJ6MMOGDUPHjh3F5WeeeQajRo2C4p5JgUJDQ2s7NAKg\n9nCHVn53DIkAAIJglIg7F6rgkpOHeuf/hteNNPhcv4m6f10BtDrUvXQFnjfS4JGeCb+L/1T4pUCi\nE8qts1dsiSciIiK74ObmhlWrVuHvv/+Gi4uL+KQkKioK//nPfyAIAt5//32HriZkSYJMhswWTaFM\nvw2pVgtVHW+43DOIFdBXnZGV3k3QnVTF8EjLgEJ996mKRBAgSCQQJBJI7nShKnFzRYm7Y7TCA0zi\niYiIyM40b97caLlHjx5wc9PP7jls2DBLhER3aJ0UKPL1QqmzE3QKBbQKBVyzciDVlSXiLtAqyqen\nFbWva52ckNGyGVyzc6FV6I/Lga0O7OLFi5YOgYiIiB7QP//8g71798LDwwNDhw6Fl5cXAH1Nf0EQ\noNPprK+cpIOQFxWjzt/XICsthQAgL6ABCv18UeTlCbfsXAgSCYq8PFHs7Qn3zGyxm02pkwKF9evC\nubAIzgWFAACtXIZCP19onZ2Q76C14pnEExERkV24dOkSXn75ZajV+hKGu3btwg8//IBZs2ZBpdKX\nMRw7diy+/vpreHjY10RKtsDjZrrYTUYCwONGGnRSCdzvlJOUCAK8bqZD7alEnn+9OzO2SpAX0ACC\nVAqd7O6XL51MZrTsiBz76omIiKrp1q1bKC4uFssXGpY0JMvavn27mMADwNWrVxEdHY34+Hhx3aVL\nl7B9+3ZLhOfwZBqN0bJUEOBkUCO+jGtWLrxTb0FeooFCXQKfK9fhkpMHV4P+8wp1SbmJohwNk3gi\nIiIT6XQ6vP7669BoNNBqtfjkk0+wZcsWS4dFd7i4lO9WUdYCbygzM7M2wqF7FPl4GS2XuLlC7eVp\ntE4AIC01rjojFQQ45ReWO560guo0joRJPBERkYn+/vtvXLt2zWhdXFychaKhe40YMQI+Pj7icqdO\nnTB27Fh4et5NFGUyGcLDwy0RnkOQakrhef0m6vx1Fe5pmYDBk6pCvzrIaeSPYk8lCvx8kdWsMYq9\nPZHXsB60cjl0Uik0Ls6oaGiq2sujXHnKIl+vCrZ0HOwTT0REZCI/Pz/I5XKUGrQUVjTBEFlGQEAA\ntm3bhsOHD8PT0xOhoaGQy+X49ttvMXr0aAiCgBUrVqBNmzaWDtVu+Vy5Duc7XWScC/STOBXW9YHX\n9ZtwKlRB4+aGnEYNoXO6W7u/wK8O3NOzINXp4FSshlOxGiWuLnAqKtbP2OrnC7WXh1ieUqLTQVXH\nGxo3V3im3IRrdh60TgrkBdRHidIdyrRMKNP0T1sK6tdBQX0/S/woahyTeCIiIhP5+PjgzTffRFRU\nFACgUaNGmDx5soWjIkNeXl4YMmSI0bqmTZuKXW06d+5sibAcglSjERP4Mi7ZuVAUFsElvwAAIMvL\nh0+yDrebB4nbOBeojOrCA4DW2QlpTRtBkEqguzNZl9bFGbmNG4rbKG9lQJmRpT9uaSl8/7mO7KAA\neN5IE7fxvJGurx/voTTrtVoDJvFERETVMGbMGHzzzTcQBAHbtm2DTCareiciB1BWMUaqvTsDq9bJ\nSSwLWcYpvxCut7PheTMdEq0OKm/Pew8FaWkp6vx9FYJUinz/eij29oRrVi48bqSJE0UpitTG+2i1\ncMkpP3mUU2GRXSbx7BNPRERUTVKpFDKZjAk8kSGpFLkB/hDuTLiklcuR17A+NG7GA45LXZzhnXwD\nMk0ppDodlFk5KPJUihM6lTop4Fyg0lenKVbD58p1KAoK4X0tBXKNRr9PRhaEezrP6yQSFHuWT9ZL\n3N1q4motji3xRERERGQWRXW8UeylhFxdAo2rCyCVIqdxAHyupkBRVAyNizNU3p7wupVhtJ/OSYG0\nNiGQlpbCLTMbytt3y0dKALhl55Yb8KqTyVDk5QGX3Hzo5HLkBjaA2tsTuQ3rQ5l+p098vboo8XCv\n4au2DCbxRERERGQ2glwOjfxuilnq4oyMVsGQaHUQZFLIitXwvJVhlJQrCopQL/tvfdnJCpLuIk8P\nuGVmG+1T4uEOVV1fQKcDJBL9PwCF9euisH7dGro668EknoiIiOzK/v378fvvv6NFixYYMWIEnJyc\nLB0SARDuzLCqdXFGTuOGYp94nVwGp+JiAIBLfiEkWh0K6/jALSsHgkSC/AZ+KPHyQE6TQKM+8ao6\nd8qJSh2zdziTeCIiIrIb0dHRWLp0qbh85swZLFq0yIIRUUWK6vig6E4S3uD0eaP3nFVFKGjgB6lG\nA0EqhfrOoNQiXy+Hrw1viEk8ERER2Y0dO3YYLcfFxSElJQVqtb6SyfXr19GoUSNLhGYVJGo13H4/\nZekwjGgVCkgNWtO1Oh18L1+D5E73GNfsXOSVlECo7ABWQKJWV72RmTGJJyIiIrthODsrADg7O+O1\n115DSUkJAH2J0HXr1qFJkyaWCM+i6tevb+kQKqTT6VBUVASdTgepVFpuQjWJRIL6Xl5QKBT3OYrl\n1fbPl0k8ERER2Y2IiAi88847Yst77969sWfPHvF9lUqFXbt24c0337RUiBazadMmS4dQIZVKhcOH\nD0MikSAsLAxbtmzBkiVLjLZZsmQJunTpYqEIrROTeCIiIrIbPXr0wK5du3Dq1Cm0aNECV69eNUri\nAX3rPFmH7OxsTJgwATdu3AAAhISEYPny5Th48CCSkpIAAE8//TRn2q2AYw7nJSIiIrtVp04d9OvX\nD0FBQQgNDUXr1q3F9/z8/DB8+HALRkeGYmNjxQQeAC5duoSEhASjcQuNGzcW+8fTXUziiYiIyG7J\n5XJ8++23cHFxgYuLC7Zs2QI/Pz9Lh0V3qCsYEJqQkIC9e/eKy19//TXOnTtXm2HZBCbxREREZNcU\nCoX4z8PDw9LhOLRdu3ZhyJAhCA8Px9q1azFw4EAolUrx/Xr16kEuL9/b+6+//iq37vvvv8ezzz6L\nf/3rX0hMTKzRuK0R+8QTERFVgyAIKC0thU6nw82bN+Hv72/pkIhswl9//YUFCxZAEPTFIpcvX47g\n4GCsX78eu3fvhkKhwNChQ3HhwgWjUqFyuRytW7dGbGws5HI5evfujfj4eCxbtgwAkJycjKlTpyI2\nNha+vr4WuTZLYBJPRERUDfPmzUNRUREAYMSIEVixYgU6dOhg4aiIrN8ff/whJvBlTp48CVdXV3Ts\n2BFdunSBTCZDaGgoZsyYgU8//RSA/m9u6tSpuHXrFgAgODgYzZs3NzqOWq3GqVOn0Ldv39q5GCvA\nJJ6IiOxaZGQk9u3bZ5Zj6XQ6FBYWistqtRoRERFwdXU1y/EBYMCAAZgxY4bZjkfAL7/8gsLCQgiC\ngPXr12Ps2LGWDskhtWnTpty6o0ePYv369QCAVq1a4ZtvvkFeXh7++ecfsWZ8RkaGmMADwOXLl8sl\n8RKJBC1atKjZC7Ay7BNPRET0EO5tWSTrkpKSgvfeew86nQ6CIGDJkiU4dOiQpcNySG3atMHUqVPh\n6ekJFxcXhIaG4urVq+L7Fy5cwO7du/HKK69g69atKC0tRXFxMS5evFjuWB07dkSfPn0gkUjg5uaG\nt956y+Em8GJLPBER2bUZM2aYtWV7ypQp+O233wAAUqkUn3/+OUJDQ812fDKvEydOQKvVGq1LTEzE\nU089ZZmAHNyYMWMwevRoCIKArVu34ujRo0bvX7hwAampqUbrcnNz4eXlhdzcXAD6mVHDw8MxYsQI\n5Ofnw8nJySFr/7MlnoiIqBo+/fRTzJ49Gy+//DLWrFnDBN7KtWrVqty6li1bWiASKiORSCCVShEW\nFmZUmcbFxQXh4eHlti8pKQGgH+DasWNHfP/992KVIQ8PD4dM4AG2xBMREVWLs7Mzhg0bZukwyESt\nWrXCm2++KVYyGT58OAYPHmzhqAjQT7y1du1abNmyBVqtFs899xxCQkIwevRo/PDDDwD0Cf/JkyfF\nff744w8kJCRg0KBBlgrbarAlnoiIiOxahw4dIJVKIZVK0b17d8hkMkuHZLPKyquaS1BQEKZPn473\n3nsPISEhAIC3334bMTExcHV1hZOTU7l9kpKSzHZ+W8YknoiIiOxWZmYmXn/9deh0Ouh0OsycORMn\nTpywdFg2R6fT4dNPP0WvXr3Qt29fbNq0SXzvwoULSEpKMusg76SkJKjVamg0GkgkEqP32rdvX61j\nFRcX48KFCyguLhbXJScnIzo6GgcOHEBpaalZYq5t7E5DREREVsOcJUEBQKPRGCVvAPDmm2/CxcXF\nbOdwhLKge/bswebNmwHo+6h/9tln6NixI7766iscOXIEANCuXTusXLkSWq0WO3bsQHp6Ovr374+2\nbdsCAK5evYqkpCR06NABgYGBlZ4rISEBc+fOFZflcjl8fX2hVqsxYsQIhIeHQ6vVIiEhAUVFRXj8\n8cfh4uICrVaLuLg4XL16FaGhoWjdujVOnDiBGTNmIDc3F56enli0aBGcnZ3x2muviX3tn3jiCURF\nRdXUj67GMIknIiIiu3VvKy6grypE1XP27Nly63bu3Ckm8ABw5swZxMbGYvfu3Th37hwAYPPmzVi2\nbBlSUlKwaNEiCIIAqVSKBQsWIDw8HLGxsTh69CiaNWuGMWPGQKlU4tdffzU6T2lpKSIiIjBkyBBx\n+bXXXsOpU6cAAAEBAVizZg2ioqKwd+9eAMCqVasQGRmJr776Sqxqk5eXh8jISDRv3lxM4AHgyJEj\n+Oeff9CsWTMz/sRqHpN4IiIishrmLgkK6Fv3Y2JioNPp0KNHD3z22WdmbYl3BJ07d8bWrVvFZalU\nCh8fn3LbnT9/XkzgAUCr1SImJgYnT54Uu9vodDp8+eWXyMjIwJIlSwAAcXFxOH36NFauXImgoKBy\nxz179ixOnDiB0NBQuLq6igk8AKSmpmLDhg1GT3AEQcCGDRvKlau8ceMGgoODyx3fnP38awu/ihIR\nEZFdmzFjBn766Sfs2LEDy5cvZwL/APr27YuIiAjUrVsXjRs3xoIFCzBs2DC4u7uL28jl8gpLrrq4\nuKCoqMhoXWFhIX766SejdYmJiUhKSsLZs2eNviA0bNgQMTEx2LNnD95//30cPHiw3DlUKlW5py4y\nmQx9+vQxWhcWFobRo0dDoVCI6x577LFyM8DaArbEExERkd3z8/OzdAg2b+LEiZg4caLRulWrVmHj\nxo0oKSnByJEj0aFDB/Tr1w8///wzAECpVGLcuHFQKpVin3oAeO6553DmzBmjY7m4uGDmzJm4deuW\nuM7JyQk3btww2u7ChQuoV68e0tPTAejLvo4YMQKlpaXYvn07AH0CP378eHTu3Bl+fn74888/8eij\nj2LSpElwc3PDxo0bER8fjwYNGqBv377m+yHVIonA+aLNIiUlBX369EFcXNx9B2sQERER2TNBEPB/\n//d/SE9PR2hoKLy9vaHVarF7924kJSWhU6dOGDBgAM6ePYs33ngDBQUFkEqlGDlypFGiD+i77SgU\nCqjVanFdt27dMG/ePMTExKCoqAhDhgxB8+bNIQgCjh07hitXruDxxx+32j7u5soZmcSbCZN4IiIi\nouopKCjA6dOn0bRpU0ilUgwZMsSof7pCocCkSZOwcuVKAICbmxuWLl2KDh06WCrkh2aunJHdaYiI\niIjIIpRKJR5//HFxeeLEiVi9erWYyGs0GgQEBGDr1q24cuUKOnXqBG9vb0uFa1U4sJWIiIiIrMLk\nyZPLVSf64IMPIJPJEBYWxgTeAJN4IiIiIrIaly9fNlrW6XRGJSVJj0k8EREREVmN1q1bl1vXpk0b\nC0Ri3ZjEExEREZHVGDhwIJ5//nlxedq0aWjRooUFI7JOTOKJiIiIyGpIpVJMnz4dSqUSSqUSL7zw\ngqVDskpM4omIiIjIohITEzFixAj07NkTs2fPFmdgvXcWVrqLJSaJiIiIyGKKi4sxc+ZM5OXlAQD2\n7dvHGXZNwCSeiIiIiCzm6tWrYgJf5n//+x84H+n9sTsNEREREVlMUFAQPD09jdYVFBSI/7799lsL\nRWbdmMQTERERkcW4uLggMjISzZo1g7OzM9q2bWtUK/7LL7/E+fPnLRihdWIST0REREQW1bVrV2zZ\nsgXHjh2rsE78pUuXLBCVdXPoPvGCICAuLg47d+7EmTNncPv2bcjlcjRs2BA9e/bEuHHj0KRJE0uH\nSUREROQwevTogS1btojLMpkMXbp0sWBE1slhW+Lz8vIwceJEvP766zhw4ABu3ryJkpISqFQq/P33\n31i3bh0GDRqEDRs2WDpUIiIiIofRq1cvTJs2DVKpFFKpFJ9++ikCAgIsHZbVcciWeEEQ8Oabb+L3\n338HALRt2xZjxoxBcHAwiouLcfz4cURHR6OwsBAffvghlEolhg4dauGoiYiIiBzDCy+8gK+//hqA\nPqmn8hwyid+zZ4+YwA8YMACff/455PK7P4ru3btj8ODBGD16NHJzc/Hxxx+jT58+UCqVlgqZiIiI\niEjkkN1pYmJiAOhHQ8+bN88ogS/TvHlzvPrqqwCAnJwcHD58uFZjJCIiIiKqjMMl8YIg4NSpUwCA\nTp06wcfHp9JtH3vsMfH1hQsXajw2IiIiIiJTOFx3mpKSErz22mtIS0tDs2bN7rut4UxharW6pkMj\nIiIiIjKJwyXxzs7OmDx5sknbJiYmiq8bNmxYUyEREREREVWLw3WnMZVarcb3338vLj/xxBMWjIaI\niIiI6C4m8ZWIjIxESkoKAH1po+DgYAtHRERERESkZ3PdaeLj4xEREVHt/QICAvDLL7+YtO3atWvF\nSZ7c3Nzw3nvvVft8RERERPTgDMcmUnlsib/HunXrsHjxYgCARCLBwoULqxwAS0RERETmodVqsXjx\nYhQUFKCgoEBsWCVjNtcSHxwcjHfeeafa+5kyUdPy5cuxbNkycXnmzJkYNGhQtc9FRERERA9m7969\n2LZtm7gcFRWFrl27IiQkxIJRWR+bS+IbN25scnUZU2k0GsyZMwc//vgjAH0L/HvvvYcJEyaY9TxE\nREREdH/nzp0rt+78+fNM4u/h8N1p8vPzMXHiRDGBl8vl+Pjjj5nAExEREVlAly5djJZlMhk6depk\noWisl0Mn8ZmZmRgzZgx+//13APpBrCtXrsSzzz5r4ciIiIiIHFNYWBhef/11SCQScXxio0aNLB2W\n1XHYJD47OxsTJkzAxYsXAQB16tRBdHQ0nnzySQtHRkREROS4CgoKcPDgQQiCAEEQxNdkzCGTeJ1O\nhylTpuDvv/8GoC8/uXHjRrRr187CkRERERE5th9//FFsZAWAuLg4JCYmWjAi62RzA1vN4bvvvhN/\nGby9vREdHY3AwEALR0VEREREmZmZ5dZlZGRYIBLr5nBJfEFBAb755htx+aWXXkJ+fj7Onz9/3/28\nvLzQsGHDmg6PiIiIyKH1798fmzdvhlarBQB4enoiNDTUwlFZH4dL4vft24fc3FxxecmSJViyZEmV\n+w0fPlycBIqIiIiIakbbtm2xYsUKvPHGG5BIJFi9ejW8vb0tHZbVcbgkvqLao0RERERkPbp06QJX\nV1cAQLNmzSwcjXVyuCR+zpw5mDNnjqXDICIiIiJ6YA5ZnYaIiIiIyJY5XEs8EREREVk/1oa/P7bE\nExEREZHVKC0txYcffoiCggIUFBRg7dq1lg7JKrElnoiIiIgeWGRkJPbt22e245WUlECtVovLy5cv\nx3fffQeZTGa2cwwYMAAzZsww2/EsgS3xRERERGQ1dDqdSescHVviiYiIiOiBzZgxw6yt2ocOHcK0\nadPEZZlMhk2bNiEwMNBs57AHbIknIiIiIqvx1FNP4e2330bjxo0REhKCyMhIJvAVYEs8EREREVmV\n0aNHY/To0ZYOw6qxJZ6IiIiIyMYwiSciIiIisjFM4omIiIiIbAyTeCIiIiIiG8MknoiIiIjIxjCJ\nJyIiIiKyMUziiYiIiIhsDJN4IiIiIiIbwySeiIiIiMjGMIknIiIiIrIxTOKJiIiIiGwMk3giIiIi\nIhvDJJ6IiIiIyMYwiSciIiIisjFM4omIiIiIbAyTeCIiIiIiG8MknoiIiIjIxjCJJyIiIiKyMUzi\niYiIiIhsDJN4IiIiIiIbwySeiIiIiMjGMIknIiIiIrIxTOKJiIiIiGwMk3giIiIiIhvDJJ6IiIiI\nyMYwiSciIiIisjFM4omIiIiIbAyTeCIiIiIiG8MknoiIiIjIxjCJJyIiIiKyMUziiYiIiIhsDJN4\nIiIiIiIbwySeiIiIiMjGMIknIiIiIrIxTOKJiIiIiGwMk3giIiIiIhvDJJ6IiIiIyMYwiSciIiIi\nsjFySwdgSVqtFrt27cLOnTtx/vx5FBYWws/PD+3atcNzzz2HJ5980tIhEhERERGV47BJfE5ODiIi\nIvDHH38Yrb9x4wZu3LiB/fv3Izw8HJGRkXB1dbVQlERERERE5TlkEq/T6fDqq6+KCXzHjh0xevRo\nBAQEICUlBdHR0UhKSsL+/fshk8kQFRVl4YiJiIiIiO5yyD7xO3bswKlTpwAAAwYMwMaNGzFkyBB0\n7pePChUAACAASURBVNwZQ4cOxdatWxEaGgoA2LNnj7gtEREREZE1cMgkfuvWrQAAhUKBefPmQSKR\nGL0vlUrx9ttvi8t79+6t1fiIiIiIiO7HIbvThISEQKPRoE6dOvDx8alwm+DgYPH1zZs3ays0IiIi\nIqIqOWQSP3/+/Cq3SU1NFV/7+fnVZDhERERERNXikN1pqqLVavHFF1+IywMHDrRgNERERERExhyy\nJb4iWq0W6enpOHXqFL799lucPXsWADBq1Ch07drVwtEREREREd3FJP6OAQMGIDk5WVx2dnbGW2+9\nhZdeesmk/bVaLQDg1q1bNREeEREREdmBslyxLHd8UDaXxMfHxyMiIqLa+wUEBOCXX36p8D1BEMoN\nXlWr1di7dy+aNGmCPn36VHn8jIwMAMCYMWOqHRsREREROZaMjAw0adLkgfeXCIIgmDGeGlcTSbxa\nrcb+/fvRpEkTqFQqHD16FBs2bEBRUREkEgk++OCDKpPz4uJiJCUlwc/PDzKZrNrxEREREZH902q1\nyMjIQNu2beHi4vLAx7G5JD45ORn79u2r9n5KpRKjR482efvz589j3LhxyM/Ph1wuR2xsLJo1a1bt\n8xIRERERmZvNJfG1af369ViwYAEAICIiAlOnTrVwRERERERELDF5X/379xdfX7x40YKREBERERHd\nZXMDWx+WVqtFamoqkpOTERgYiKCgoEq39fb2Fl9rNJpaiI6IiIiIqGoO1xJ/7tw59OvXD//+978R\nHR19322vX78uvm7QoEFNh0ZEREREZBKHS+JbtmwJDw8PAMCePXugUqkq3Xbbtm3i68cff7zGYyMi\nIiIiMoXDdadxcnLCiBEjsGbNGmRnZ+Ojjz7CggULIJUaf5/Zv38/vv/+ewBAUFAQ+vXrZ4lwH8r/\n/vc/7NmzBydPnsS1a9dQWFgIV1dX+Pv7o2PHjhgyZAi6dOlS4b4pKSlifXwXFxfs2rXL5FqmHTt2\nhEqlQrdu3bBu3TqzXY894j0yNnPmTGzfvh0AEB0dje7du5tlv5YtW953f4lEAicnJ3h6eqJp06Z4\n7LHHMGrUKPj6+lZ57hMnTuDAgQNISEhAeno68vPz4eXlhTp16qBLly4ICwtDaGioSddR2woLC7Fn\nzx4cOnQI58+fx+3bt6HT6eDt7Y2QkBA8+eSTGDp0KLy8vCo9huHPfuTIkVi4cKFJ5/7222/xySef\nAKjevTaHoqIiPP744ygsLAQATJs2DZMmTapyP8NrrYhMJoOzszN8fX3RvHlzDBgwAOHh4XBzczNb\n7I6C98gYPxtr39KlS7FixQoAgI+PD3799Vc4OTlVud+1a9eMxlTeSyKRQKFQQKlUwt/fH927d8fQ\noUPRqlWrasfocEk8ALzxxhuIj4/H1atXsW3bNly8eBFjx45FUFAQsrOzsXfvXuzatQuCIMDV1RWf\nffYZFAqFpcM22T///IMPP/wQx48fL/defn4+8vPzcenSJWzevBm9evXCRx99hHr16lV6vOLiYsye\nPRvR0dGQSCQ1GbrD4D2yLoIgQK1WIyMjAxkZGUhMTMSqVavwySefoG/fvhXuk5WVhdmzZyMuLq7c\ne5mZmcjMzMTFixexYcMGdOrUCQsXLkRwcHBNX4pJtFotoqOjsXLlSuTl5ZV7Pz09Henp6Th69CiW\nL1+O6dOnY8SIEVUed+vWrRg0aBB69uxZE2Gbzf79+8XkENDHPXHixIf+29FqtVCpVFCpVEhJScGh\nQ4cQFRWFBQsW4Mknn3zYsB0K75F1cLTPxjKCIGDnzp3icnZ2Ng4cOIDBgweb5dglJSXIyspCVlYW\nzp49i++++w4jRozAe++9B6VSafKxHDKJVyqVWLNmDd544w2cPXsWZ86cwYwZM8pt16BBAyxduhTt\n2rWzQJQPJj4+HlOnTkVRUREAoF27dhg0aBBatWoFpVKJvLw8nD59Glu3bsWNGzfw66+/YtSoUVi3\nbh0CAwMrPW5iYiI2btxYrVr7VDHeI8vx8/PDqlWrKnyvpKQEt2/fxp49e7B7924UFhZiypQp2Lx5\nc7nPAJVKhcmTJ+PMmTMAgMceewwDBgxA06ZN4erqCpVKhb/++gs7duzAmTNncOrUKUyYMAE//PAD\nGjduXOPXeT8qlQpTpkzBkSNHAADu7u4YPHgwevToAX9/f0gkEly/fh0///wzDhw4gNzcXMyaNQup\nqan4z3/+U+XxZ8+ejdjYWKtu2SxrmQwICEBqaiquXbuG33//vVpfPhYuXIi2bdsardNoNCgoKEBy\ncjJ++eUXHD58GGlpaYiIiMDy5ctNmv2b9HiPahc/G40lJCQgJSUFwN3fwc2bN1c7iW/fvj3mz59v\ntE6n06G4uBiZmZlISkpCTEwMbt++jW3btuHatWv47rvvTGrxBwAIDqykpETYtm2b8PLLLwvdunUT\nWrduLXTr1k0YO3assHbtWkGlUlk6xGo5efKk0KZNGyEkJERo06aNsGPHjkq3ValUwtSpU4WQkBAh\nJCREGDp0qKDRaMT3r1+/Lr5X9q9jx47CjRs3qoyjQ4cOQkhIiDB27FizXJc94T26vxkzZojX8vvv\nv5ttv7L3evfubdLxvvzyS3GfMWPGlHt/xYoV4vvR0dGVHken0wlRUVHitv/6179MvqaaoNPphIiI\nCDGecePGCRkZGZVuf/z4caFz587i9nv27Cm3jeHPvuzfwoULq4xl9erVD3SvH1ZqaqrQqlUrISQk\nRFi/fr14fVOmTKly3+r+fh44cEBo27atEBISIrRv3164cOGCOS7B7vEelcfPxto1ffp0ISQkRHjq\nqaeMrvmff/6pct+rV6+K20+YMKHK7XNzc4Xx48eL+8ycOdPkOB1uYKshhUKB5557Dt999x0SEhJw\n9uxZJCQkYN26dZgwYQJcXV0tHaLJ1Go1ZsyYAY1GA5lMhi+++AJDhw6tdHtXV1d88sknaN++PQD9\nDLWbN2+ucNuyrkSFhYX44IMPzB+8g+A9sh2TJk1Cw4YNAej7dd68edPo/bL70L59e4wbN67S40gk\nErz11lvo2LEjAODo0aO4fPlyDUVdtS1btuCXX34BAHTr1g1ff/016tatW+n2PXr0EPutA8DixYtR\nUlJS6fZlv4fr16/HH3/8YaaozWv79u3Q6XQA9K2EZV0o4uLicPv2bbOeq1+/fpg3bx4AfR/vqKgo\nsx7fXvEeWS97/Ww0VFhYiAMHDgDQf04ajoncsmWL2c/n6emJlStXomnTpgD0v//nz583aV+HTuLt\nydatW5GcnAwAGDp0qEmPBOVyOaZPny4ur1+/vsLtBg0aJD7mOnLkCHbs2GGGiB2PLd+jhIQEtGzZ\nEi1btkRCQoJZj22NZDIZHnvsMQD6/ouXLl0S3ysoKMCtW7cA4L7zTBgaNmyY+NrUiePGjRuHli1b\n3vc/wurQaDRYtmwZAP3v1UcffWRSQ0VYWJjYheHWrVs4ePBgpdtGREQA0D8unjVr1n0Tfksp6+ca\nHByMpk2bio/HNRoNfvzxR7Of77nnnhMHp8fHx+PcuXNmP4e9sZV7ZO6/UVtgj5+N99q3b59YubBP\nnz4IDg4WB51u3769R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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "ANOVA F: 236.319780955\n", "p value: 6.07898187234e-113\n", "Multiple Comparison of Means - Tukey HSD,FWER=0.05\n", "===============================================\n", " group1 group2 meandiff lower upper reject\n", "-----------------------------------------------\n", " AD+ AD- 0.2033 -0.163 0.5695 False \n", " AD+ CN+ 1.679 1.1813 2.1766 True \n", " AD+ CN- 1.664 1.3852 1.9429 True \n", " AD+ HPS+ AD -0.2905 -0.5844 0.0035 False \n", " AD+ HPS+ CN 1.7715 1.1572 2.3859 True \n", " AD- CN+ 1.4757 0.976 1.9754 True \n", " AD- CN- 1.4608 1.1782 1.7433 True \n", " AD- HPS+ AD -0.4937 -0.7912 -0.1963 True \n", " AD- HPS+ CN 1.5683 0.9523 2.1843 True \n", " CN+ CN- -0.0149 -0.4546 0.4248 False \n", " CN+ HPS+ AD -1.9694 -2.4189 -1.52 True \n", " CN+ HPS+ CN 0.0926 -0.6095 0.7947 False \n", " CN- HPS+ AD -1.9545 -2.1336 -1.7754 True \n", " CN- HPS+ CN 0.1075 -0.4609 0.6759 False \n", "HPS+ AD HPS+ CN 2.062 1.4861 2.638 True \n", "-----------------------------------------------\n" ] } ], "source": [ "anova_hpc_split(df1, 'ADNI_MEM', -3, 3.5, 'CN', 'AD', path_results + 'adni1_adcn_memory_split.pdf')" ] }, { "cell_type": "code", "execution_count": 56, "metadata": {}, "outputs": [ { "data": { "image/png": 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A2dkZSUlJonjx4sVNlBGRZStcuDBGjhwpiXt5eWHJkiUmyIg+JS5rIYu3detW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\nev369XwXSFaqVElcg1Ec8iqN6iiBgYFo0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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "ANOVA F: 92.6761926344\n", "p value: 2.0408080497e-33\n", "Multiple Comparison of Means - Tukey HSD,FWER=0.05\n", "=================================================\n", " group1 group2 meandiff lower upper reject\n", "-------------------------------------------------\n", " HPS+ Negative 1.3956 1.1507 1.6404 True \n", " HPS+ Non-HPS+ 0.5828 0.2099 0.9557 True \n", "Negative Non-HPS+ -0.8128 -1.1596 -0.4659 True \n", "-------------------------------------------------\n" ] } ], "source": [ "# adni_ef\n", "anova_hpc(df1, 'ADNI_EF', -3, 3.5, path_results + 'adni1_adcn_ef.pdf')" ] }, { "cell_type": "code", "execution_count": 57, "metadata": {}, "outputs": [ { "data": { "image/png": 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ee+9l2LBhJZbBlmIaifcilSpVolq1ai7TaOLj4/n555+55ZZbyMnJ4fDhw9Sr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N/zKb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\nQP7EYWe+DWAS7yYGDBgg9vCuW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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "ANOVA F: 87.2391143022\n", "p value: 1.81791355304e-60\n", "Multiple Comparison of Means - Tukey HSD,FWER=0.05\n", "===============================================\n", " group1 group2 meandiff lower upper reject\n", "-----------------------------------------------\n", " AD+ AD- 0.1829 -0.3496 0.7155 False \n", " AD+ CN+ 1.6975 0.9738 2.4211 True \n", " AD+ CN- 1.4517 1.0462 1.8572 True \n", " AD+ HPS+ AD -0.2509 -0.6784 0.1765 False \n", " AD+ HPS+ CN 1.7166 0.8233 2.6099 True \n", " AD- CN+ 1.5145 0.7879 2.2412 True \n", " AD- CN- 1.2687 0.8579 1.6796 True \n", " AD- HPS+ AD -0.4339 -0.8664 -0.0014 True \n", " AD- HPS+ CN 1.5336 0.6379 2.4294 True \n", " CN+ CN- -0.2458 -0.8852 0.3936 False \n", " CN+ HPS+ AD -1.9484 -2.6019 -1.2949 True \n", " CN+ HPS+ CN 0.0191 -1.0018 1.04 False \n", " CN- HPS+ AD -1.7026 -1.9631 -1.4422 True \n", " CN- HPS+ CN 0.2649 -0.5616 1.0914 False \n", "HPS+ AD HPS+ CN 1.9675 1.13 2.805 True \n", "-----------------------------------------------\n" ] } ], "source": [ "anova_hpc_split(df1, 'ADNI_EF', -3, 3.5, 'CN','AD',path_results + 'adni1_adcn_ef_split.pdf')" ] }, { "cell_type": "code", "execution_count": 58, "metadata": {}, "outputs": [ { "data": { "image/png": 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MCSGEEEIIsQKUmBNCCCGEEGIFKDG3YgaDATqdjlVJAKpv3EhJSeGVyjIYDLh1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\n1U66kq5fv47Zs2fj+fPnCst17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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "ANOVA F: 58.2401907211\n", "p value: 9.89512685721e-23\n", "Multiple Comparison of Means - Tukey HSD,FWER=0.05\n", "=================================================\n", " group1 group2 meandiff lower upper reject\n", "-------------------------------------------------\n", " HPS+ Negative 5.8989 4.6123 7.1855 True \n", " HPS+ Non-HPS+ 3.682 1.7271 5.637 True \n", "Negative Non-HPS+ -2.2169 -4.0335 -0.4003 True \n", "-------------------------------------------------\n" ] } ], "source": [ "# language\n", "anova_hpc(df1, 'BNTTOTAL', -5, 35, path_results + 'adni1_adcn_language.pdf')" ] }, { "cell_type": "code", "execution_count": 59, "metadata": {}, "outputs": [ { "data": { "image/png": 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Znp5O586dL3+HaxFJ4GtIWNj5b6zU630v0em0oWhDQ7Fa7eXaQtBWUqRAH+b7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\nB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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "ANOVA F: 28.655750531\n", "p value: 1.4832884655e-24\n", "Multiple Comparison of Means - Tukey HSD,FWER=0.05\n", "================================================\n", " group1 group2 meandiff lower upper reject\n", "------------------------------------------------\n", " AD+ AD- 1.0518 -2.2458 4.3494 False \n", " AD+ CN+ 3.1136 -1.3306 7.5579 False \n", " AD+ CN- 3.3798 0.8895 5.8701 True \n", " AD+ HPS+ AD -3.2087 -5.8368 -0.5806 True \n", " AD+ HPS+ CN 2.5541 -2.932 8.0402 False \n", " AD- CN+ 2.0618 -2.4205 6.5442 False \n", " AD- CN- 2.328 -0.2297 4.8856 False \n", " AD- HPS+ AD -4.2605 -6.9525 -1.5685 True \n", " AD- HPS+ CN 1.5023 -4.0147 7.0193 False \n", " CN+ CN- 0.2661 -3.6606 4.1928 False \n", " CN+ HPS+ AD -6.3223 -10.3378 -2.3068 True \n", " CN+ HPS+ CN -0.5595 -6.8297 5.7106 False \n", " CN- HPS+ AD -6.5885 -8.1929 -4.984 True \n", " CN- HPS+ CN -0.8257 -5.9016 4.2503 False \n", "HPS+ AD HPS+ CN 5.7628 0.6179 10.9077 True \n", "------------------------------------------------\n" ] } ], "source": [ "anova_hpc_split(df1, 'BNTTOTAL', -5, 35, 'CN','AD',path_results + 'adni1_adcn_language_split.pdf')" ] }, { "cell_type": "code", "execution_count": 60, "metadata": {}, "outputs": [ { "data": { "image/png": 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9e+PUqVP4p8jIyFJl1iQ4OBi5ubmYNGlSbTelyuh0Ovz666/SCT4AtGvXDr16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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "ANOVA F: 48.5590350013\n", "p value: 1.78535295053e-19\n", "Multiple Comparison of Means - Tukey HSD,FWER=0.05\n", "=================================================\n", " group1 group2 meandiff lower upper reject\n", "-------------------------------------------------\n", " HPS+ Negative 1.203 0.9125 1.4934 True \n", " HPS+ Non-HPS+ 0.5421 0.0997 0.9845 True \n", "Negative Non-HPS+ -0.6609 -1.0723 -0.2494 True \n", "-------------------------------------------------\n" ] } ], "source": [ "# vis spat\n", "anova_hpc(df1, 'CLOCKSCOR', -1, 6, path_results + 'adni1_adcn_clock.pdf')" ] }, { "cell_type": "code", "execution_count": 61, "metadata": {}, "outputs": [ { "data": { "image/png": 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zfIlU63RQ5gi8oigixcTyxVEz6eXUmuzSVKoyV7MkmZ1Oc/XqVezatcvwd40a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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "ANOVA F: 33.5429475378\n", "p value: 3.03786164039e-28\n", "Multiple Comparison of Means - Tukey HSD,FWER=0.05\n", "===============================================\n", " group1 group2 meandiff lower upper reject\n", "-----------------------------------------------\n", " AD+ AD- 0.3589 -0.3509 1.0687 False \n", " AD+ CN+ 1.4318 0.4674 2.3962 True \n", " AD+ CN- 1.1603 0.6199 1.7007 True \n", " AD+ HPS+ AD -0.2699 -0.8395 0.2998 False \n", " AD+ HPS+ CN 1.5152 0.3247 2.7056 True \n", " AD- CN+ 1.0729 0.1045 2.0413 True \n", " AD- CN- 0.8014 0.2539 1.3489 True \n", " AD- HPS+ AD -0.6288 -1.2052 -0.0524 True \n", " AD- HPS+ CN 1.1562 -0.0375 2.35 False \n", " CN+ CN- -0.2715 -1.1236 0.5806 False \n", " CN+ HPS+ AD -1.7017 -2.5727 -0.8308 True \n", " CN+ HPS+ CN 0.0833 -1.2773 1.4439 False \n", " CN- HPS+ AD -1.4302 -1.7773 -1.0831 True \n", " CN- HPS+ CN 0.3548 -0.7466 1.4563 False \n", "HPS+ AD HPS+ CN 1.785 0.6689 2.9012 True \n", "-----------------------------------------------\n" ] } ], "source": [ "anova_hpc_split(df1, 'CLOCKSCOR', -1, 6, 'CN','AD',path_results + 'adni1_adcn_clock_split.pdf')" ] }, { "cell_type": "code", "execution_count": 62, "metadata": {}, "outputs": [ { "data": { "image/png": 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mjPC5m5sb3Nzc9H5H8ZuAInv27MHEiRMhkUj0HkNERPSmNBoNdu7cicOHDwMA\nPvzwQwwaNIj/1rwFGN6p0vLx8cHmzZu11ls3MTHBkCFDcOLECTx//lyrvlKpxLhx44T3W7Zswfr1\n62FmZoYePXogNDQUUqlUpze8SGZmJoYPHy709hsYGECj0ZTYvmXLlr22/Xl5ediwYQPOnTsHS0tL\nrXMXl5+fLwzfISIiKg+//fYbVq1aJby/f/8+FAoFRo8eXYGtovLA8E6VlouLC2bPno3AwEAkJSXB\n2dkZX331FaysrLB06VLMnTsXd+7cgYWFBXx9fbF582at4x8+fIh9+/ahYcOGmD59utBj7+Lignfe\neQcPHz4U6jZu3BiHDh3SCtdKpbLEsegeHh7C67i4OAQGBiIiIgLOzs749NNP4e7ujpkzZ2qNtw8L\nC0PHjh1x/vx5rXP5+PhAKuXCT0REYrBs2TIEBwdXdDP+UnJysk7ZL7/8gr1791ZAa96Mt7e3sDQz\n6WJ4p0qtV69e6NGjB3JycrRWc3nnnXewceNGZGVlwdjYGOfOndPbSx4VFYUdO3ZoDbWJiorCoEGD\n8OGHH+L+/ftwcXFBo0aNMH78eJ3jVSoVBg4ciF27dgllAwYMEMJ7Xl4exo8fj6SkJABASkoKbt26\nhcDAQISEhGidS6PRQKVSoWfPnjh58iQ0Gg26dOmCr7766m/9jIiIiP5M3y7h+spIfBjeqdKTSqV6\nl2EEIJS7uLhobahUpE6dOkKwLi4iIgJTp04V3qekpEAmk0GlUmnVk8lk+Oqrr9CvXz9EREQgLCwM\nV65cwbhx4+Dv74/c3Fyd8+fn5yMoKEjvzUReXh5WrFiBr7/+GhqNBqampqX7IRARUaUQEBAgil7h\nWbNm4ejRo1plvXv3xpw5cyqoRVRe+Kye3gq2trbw9/fXKnN1dcXgwYNhZGSkU9/GxgYLFy5Ev379\n8Pnnn+Pp06cYNGiQVh2JRAJjY2MAhSvMBAUF4cSJE3j69CnCw8MREBCA6Ohove0xNjaGo6OjTrmX\nlxeAwrH7DO5ERPRPmTJlCjp37iy879y5M6ZMmVKBLaLywp53emtMmDABXbt2FVab8fT0hFwux8iR\nI7Fu3TqhnrGxMeLi4nD27FkAhTughoaGYvPmzWjRogWOHj2KiIgIZGRkIC0tDYsXL0bfvn0RHh6u\n9X1qtRqxsbEwMTGBQqEQyiUSCbp3744+ffpgxowZiI6OhqGhIXx9fTFgwIB/54dBVMlERUUhKSkJ\nLVu2LPFJGhGVH3NzcyxduhQ9e/YEACxdurSCW0TlheGd3ipNmjRBkyZNtMo+/fRTuLq6IiQkBNWr\nV4erqyu++eYbrTpKpRJ79+4kss6oAAAgAElEQVTF1KlT8dNPP2nttLpjxw4YGhrq/T6lUolly5Zh\n4cKFePToEWrXro0JEybA1dUVALBt2za8ePECZmZmMDMzK+erJar88vPz8dVXX+HixYsAgGrVqmH2\n7Nnw9vau4JYRVQ1cEOHtw/BOVULnzp2Fx4dFIeLPsrOzERUVpbMEJVC4xJatra3OZz4+Pnj33Xex\na9cuZGVlwdTUVOcXZZ06dcrpKojEZ8+ePVp/5/Ly8jB37ly0b9++AltFRCRevB2jKufdd99FjRo1\ndMq9vb1LfJxvYWGBJUuWoHHjxgAKx6yPGTMGvXr1EuqYm5uzh4PoT0JDQ3XKcnJycPfuXWEFptft\np0BERNqYNEi0CgoKUFBQ8MbHVatWDYsXL0a9evUAAEZGRqhfvz6OHDmCuLg4dOjQQau+TCbDwIED\n0bBhQ2zduhVHjx7FRx99hMOHD8PPzw+bNm1i+CAqga2trU6ZRCJBeHg4kpOT8fLlS/Tr1w9hYWEV\n0Dqit9vx48eRlpaGtLQ0HD9+vKKbQ+WE4Z1EJycnB9999x06duyILl26YP78+Xj16hUA4MKFCxg7\ndix8fX2xcOFCZGZm6j2Hu7s79u7di1GjRiE/Px9PnjzBmTNnMHnyZHh5eWHUqFGQy+UwNDTEzz//\njJYtWwrH/v7779iyZQsSExPx9OlTrFixQmeDKCIqNHToUFhYWGiVtWvXDmvXrhVueuPi4vDll18i\nOzu7IppI9Fbavn07Zs6ciVevXuHVq1eYOXMmtm/fXtHNonLA8E6is2jRIhw7dgwFBQXIz8/H3r17\nsWrVKoSHh+PLL7/EjRs3EB8fj927d792WSyNRoP9+/frlG/fvh0TJkxA9erVUa1aNa2lJgsKCnDo\n0CGdY/bt21fi9+Tl5end6Y6oKrC3t8eWLVswYsQIvP/++5g9e7be3vicnBxcvny5AlpI9HbasmVL\nqcpIfDhhlURFpVLhxIkTOuXHjx9HUlKSziZN4eHhiImJQYMGDXSOKSgoQHp6uk75y5cv8fvvvyMl\nJQUA8Mknn6BTp05YtGgR1Gq13qE6SqVSp0yj0WDlypXYsWMH8vLy0KhRI8yZMwcNGzYs9fUSvQ1s\nbW0xefJk4f3jx4/11ivaV4GI/r60tLRSlZH4sOedREUikUAu173nlMvlyM3N1XtMTk4Orl+/jqtX\nr2oFb0NDQ7Rq1UqnfsuWLbFq1SqtsvPnz+P48eMwNDQUNloqrkePHlAqlUhOThaGAhw5cgS///47\n8vLyAADR0dGYMmUKt6emKq9Pnz46m6fVq1cPbdu2raAWEb19im/Q9LoyEh+GdxIVqVSKvn376pT7\n+fnBx8dHp9zGxgazZs3C+PHjMWHCBPj6+uLRo0fC5xMnToSDg4Pwvnnz5mjTpo3egH3z5k3cvXsX\nhoaGqFOnDqRSKYyMjNC/f39YW1ujR48e6NmzJ/z8/HDt2jUEBwfrnOPZs2e4e/duWS+f6K1Qv359\nrF69GoaGhpDJZPjggw+wevVqvTfmRFQ2U6dOhbu7u/De3d0dU6dOrcAWUXnhb0oSncmTJ8PY2BhH\njx6FTCZD3759MXr0aEilUsTFxWH79u3IycmBi4sLzM3NtZaqe/HiBRYsWIBVq1bhhx9+wNGjR6FS\nqWBra4uAgAB07doV9+7d0/u9UqkUo0aNgkqlEspGjx6Nd999F2PGjBHK4uPjMWXKlBJ7EU1NTcvp\nJ0EkXs2bN4elpSUAYPbs2RXbGKK3UM2aNbF+/Xp0794dALB+/foKbhGVl3IJ71FRUYiMjERqaqqw\n6kdpTZw4sTyaQFWIgYEBJkyYgAkTJuh8Nn78eIwaNQo5OTmwsrKCp6enTp3w8HBs2bJFa+Lp8+fP\nERgYCE9PT7i6uqJr1644c+aM8Hm9evXw+PFjreAOAJs3bxbGxhenUCjg7OyMkJAQrV781q1bw8nJ\nqSyXTURE9Mb4ROvt87f+j96/fx9ff/11iT2VpcHwTuXNyMhIGE9ra2uL6Ohorc9tbGxw/vx5neOe\nPHmCe/fuYfv27Th79iyAwt72Tz/9FAMHDsTw4cN1jsnOzoZMJtPbjiZNmmD58uXYtGkTkpOT0b59\ne3z66ad/9/KIiIioCitzeE9ISMDIkSORmZlZ5g1qJBJJWb+eSK+0tDSsXbsWYWFhsLe3x/vvv4+H\nDx9q9X6PHTtWCOfFSaVS7Ny5U2sjC7VajdjYWJibm6N169Y6S0u+8847GDRoEPbv3y9MTAUKl8dr\n37495HI5t4EnIiKiclPm8L5mzRpkZGRAIpHA2NgYffr0wTvvvAMTExNuEU9vLDU1FUuXLsX58+dh\nZWWFkSNHws/P743OodFoMGHCBKGn/dGjR7h69Srmzp2L0NBQqFQq9OrVC61atYKtrS0uXryoFeq9\nvb1x4cIFnfMGBwdjzpw56N69O65cuYKEhAQAgLW1Nb777jvY29vjl19+wfr16xEbG4sWLVrgvffe\nw6pVq+Dg4IAePXrA2NgYWVlZWLZsGUJCQmBubo4hQ4Zg8ODBf+OnRkRERFVNmcN7UcgxNjbGrl27\n8M4775Rbo6jqmTp1KiIiIgAULu04b948VK9eXe+yjCUJCwvTGSKTn5+Pu3fvYsaMGVrlrVu3xooV\nK7Bt2zakp6ejc+fOwg1DRkaGVl0jIyMsXLgQe/fuFco6dOiAxYsXw8DAAADg5uaG5cuXAwDmzZuH\nOXPmCHW3b9+OX3/9Fd99950wXCczMxOLFy+GiYkJ+vTpU+prLBIbG4uUlBQ0a9YMhoaGb3w8UUV7\n8eIFsrKyUFBQgE2bNmHgwIGoVq1aRTeLiKjSK3N4T0pKgkQiQe/evRnc6W+JjY0VgntxBw8eRJMm\nTbBmzRrcunULjo6OGDt2LFxcXAAA6enpiIyMhL29PRwdHUvcWj0rKwtAYc988aFabdu21VkRpl+/\nfjprvHfs2FEruAPAxYsXERERgffee0+rPCYmRmdozaNHj7Blyxa9vfoHDhzQCu/Pnj3D7du34ejo\nKFxncfn5+fj6669x7tw5AECNGjXwww8/oHXr1nqvnagyevnyJfz9/aFQKAAAK1aswIULF7B27doK\nbhkRUeVX5vBubm6O1NRU2Nvbl2d7qAoqadOigoICjB8/HvHx8QAKJ5Rev34dO3fuxOXLl7Fo0SJh\ndaMPPvgAU6ZMgZmZmU6IVyqV6NatG7Kzs+Hp6Ynp06fD0tISmZmZ2Lt3L2JiYtC0aVP4+flh1KhR\nMDIywsGDB/HkyRMYGxuXuDrMzZs3ERcXh507dyI3NxfdunUr8Ub28ePHeueGFL/2DRs2YM2aNUKZ\nj48P/ve//2lNiN2+fbsQ3IHCG5iZM2fi6NGjXFGAROPAgQM6qzSFh4cjPDwcHh4eFdQqIvE4fPgw\ndu3aBYVCAW9vb3zyySd8CluFSDRlnG06evRoXL58GQMGDMD3339f3u1668THx6Nbt244depUud7w\njB49GomJieV2voqSkpKitfspUDgkS9+uqSYmJkKPXXHVq1eHVCpFZmYmVCoVJBIJDAwMdJYvNTQ0\nRPXq1ZGamqq19KOBgQEsLS2hUqmQlZUlHFdSO/SVGxoa6l0u1dzcHPn5+TqfmZubw8TEBAUFBXqX\nnKxevbrWUILU1FQolUqdelZWVsIQHrGwsbHBr7/+WtHNoAowb948nSdUADB37lz07NmzAlpEJB5H\njhzR2Ruhb9++mDlzpt76vXv3BgAcPXpUKCsoKEBWVpaw1wJVLn+VGcvcVde/f39cunQJJ0+exJQp\nU2BhYfG3Gkplk5iYiMTERFhZWVV0U8qkaCiLmZkZcnJyoFQqIZFIUK1atRInPpe0l0Bubi7MzMxg\nYWEBtVotBHl9x2dlZems2a5UKqFQKKBQKLR6xHNzcyGTybTqy+Vy5Ofn6z23kZGR1mdyuRxyuRwy\nmQwajUYI31KpFAqFQrjR0CcvL0+r572kemq1Wm+or6xSU1MruglUgdq2basT3mUyGVq1alVBLSIS\nj127dumUHT16FAEBATAzM/vL47dt24YNGzYgIyMDDRo0wMyZM+Hm5vZPNJX+IWUO77169cLhw4dx\n5swZTJw4EStWrECNGjXKs21USlZWVggMDKzoZryRO3fuYNOmTXj69Cnq1q2L4cOHo2XLllCr1UhI\nSEB4eDgMDAywY8cOnbD+8ccf690p7sMPP0STJk1gaGiIBg0aAABmzZqFBw8eaNWTSCTo1KkT/vjj\nD51zdOzYEUFBQTrlrVu3hpubGx4/fgx7e3t06dIFM2fOFIb0FPfTTz8hPT0d9+7dQ506dWBnZweJ\nRIKaNWsCAI4dO4YtW7YINwgKhQJeXl44ffq0zrkGDhyInj17IiMjA5cuXcKLFy8QEhKiFdQ9PT0x\nbtw4nWMrM+7vULV5eXmhf//+2LNnDwCgWrVqmDp1KqytrSu4ZUSVn74nwQUFBTpPr/W5cuUKli5d\nKryPiYlBQEAADh8+zAnjIvK3BskuXboUU6dORXBwMLp164Zu3brB1dUVFhYWJW5c82e+vr5/pwkk\nQunp6Vi8eLHQO52QkIBly5Zh0aJFiIyMxK+//iqMD7ewsICpqSnS0tJgZmaG/v37w8vLC1evXsXt\n27eFc5qbm+PMmTPCxFJnZ2dMnToVnp6eOuHd3d0dHh4eesO7s7Oz3jbLZDI4OTnh9OnTCA4OxqFD\nh+Ds7KwT3t3c3GBhYQELCwvhpurWrVsAgKZNm2LSpEl6bw6uX78Od3d33Lx5UyirW7cuunTpgri4\nOMydOxc5OTkACm8+mjZtCiMjI7Rs2RJdu3Z9/Q+cqJKRSCSYPn06QkJCUFBQgC+//BLHjx/HsWPH\n0LNnT/Tt25f7gBCVwNvbG+vWrdMqa9GiBS5fvow6deqgZcuWWp8Vf2p88uRJnfOlpaXh+vXr6Nix\n4z/TYCp3fyu8p6enC79gc3JycPjwYRw+fLjUx0skEob3Kig0NFRnyElBQQHOnz+P48ePa03szMzM\nhLe3N3r16oUrV67g0qVLiIyMxAcffAAPDw+hd7to8miRR48eYefOnRg3bhxyc3Nx9OhR5Obmok2b\nNhg+fDhMTU3h4+OD4OBgaDQaSKVS9OvXD+3bt8f+/fuFtdyLtG/fHgsXLhSWkUxNTUVqaipatWqF\niIgIKJVKNG/eHKNHjxaO2bx5sxDcgcKnDb///rsQwovLyclBQEAAfv31V4SFhUEqlaJVq1YwNDTE\n7t27tY7RaDRISEjAihUruKcCiZpMJsOrV6/w3XffCWVhYWFITEzkbsREJRg9ejRevnyJI0eOQKlU\nwtHREbdv3xZWbXv33Xfx008/QaFQYPr06Xj58iUAYNy4cXBwcNB7Tva6i0uZw3tqaipGjBiBZ8+e\nQSKRQKPRlHmnVapaSgqcubm5eh8HxsbGYs+ePbh06ZJQduPGDXz77bfo3r07srOzcejQIZ3jbt26\nhfv37yMoKAhpaWmQyWQwMjKCsbExsrOz8eLFC+HPrJOTE7y8vCCVSjF9+nSsW7cO9+7dg4mJCT78\n8ENoNBqd9d8BwMzMDOvWrcO+ffsQHByML774As2aNcPYsWMRGhqqUz80NBTt27cX1nsv8u677+L8\n+fNaO78eOnQIubm5ePLkic55UlNTkZWVherVq+v9WRKJhb7J59u3b8cnn3zCFZSI9DAwMMC3336L\ngIAAJCcnY+jQoVrztMLCwrB3715ERkYiPDxcKA8PD4ehoSHkcrnWEBtnZ2eu8iQyZf7NuHHjRsTH\nxwvB3d3dHY0aNYK1tTV7A+m12rRpgx07dmj1JhsZGaFbt24ICQnRCfB16tTBxYsXtcpUKhWOHz8O\nFxcXVKtWDaampjo92lZWVli+fLkQulUqFU6ePAlHR0dERUVpDbuJiYnBr7/+ioCAAKSlpeHBgwfC\nqjM7d+5E37599V6LXC7HhQsXcPDgQaHs1q1bWLZsGUxNTZGXl6dV39TUFCNGjEBGRobWcJpRo0Zh\n/vz5OucPCQlB8+bNhZ6TItbW1jA3N9fbJqLKKicnB+vXr8fFixdhbW2N/Px8vUvF5uTkoKCggOGd\n6DVMTEzw/PlzvYsn3LhxQ6vDq0h4eDgCAwOxfv16xMfHo1WrVpgwYQJzm8iU+TdjcHBw4Qnkcqxd\nuxbt2rUrt0bR283MzAzffPMNtm3bhsePH6NevXoYPHgwbG1tMXjwYPz+++9Cj7iVlRU6duyod4Oj\nos2XpFIpPvzwQ+zYsUP4TCKR4L333tMqKxIWFoZ79+7pLVer1di5c6fWL0OVSoULFy7AxsZGa1lO\nmUwGT09PbN26Vedcjx49Qp8+fXSeCPTs2RNmZmaYPn06zpw5g2vXrsHU1BTx8fE6QR8oHE7Ut29f\nPHjwQFg5RyaTYeTIkfxlS6Izffp0XL58GUDh3xFA//KqrVq14mN8olJwcHAQOlGLq1evHu7evYuk\npCStcktLS7z33ns6GwySuJQ5vD9//hwSiQQ9e/ZkcKc35uTkhG+//Van3MfHB40bN0Z4eDjMzc3R\nrl07VKtWDbVq1UJycrJWXSsrK0yePBnJyclo3Lgxhg8fjgcPHsDIyAheXl4wMTHRG97NzMxgamqq\n87je1NQUUqkUT58+1TkmKSkJixYtwu7du3H37l2Ym5ujcePGyM/PL3FytpeXF+rUqYOQkBAAQKdO\nndCtWzcAwPHjx7F582ah7uXLl+Hh4aHzi7Z58+Z45513sGTJEly7dg0KhQJubm6oX7++3u8kqqye\nPHkiBPc/a9u2La5cuQIAcHV1LXG9aiLSZm9vD19fX62lV62trTF48GDUrFkTy5Yt06o/dOjQf7uJ\n9A8oc3g3NDREXl4eHB0dy7E5RIU9BvXq1dMqmzx5Mn7++WckJiZCIpGgefPmWo8E79+/j8TERCxf\nvhxyuRw3btzA/fv30aBBA8TExAj1ZDIZatSogRYtWghPj4q4u7vjxo0bcHZ21ppoChT2btjZ2WHS\npElYvHgxIiIikJCQgJCQEDRt2lTnGtzc3FC7dm3Url0bNWvWxKlTp3Djxg0YGxujXbt2WsNsgMJJ\nqMnJyejcuTMuXrwIlUqFZs2aCZP2TE1N8erVKxw+fBhbt25F/fr1MXbs2BJXxyGqbP6883FxgYGB\neP78OV69esV/U4je0DfffIO2bdvi6tWrqFOnDnx9fWFlZYVhw4ahevXqmDdvHgBgxowZ6N69O65c\nuQK1Wo1WrVqJbnM/KlTm8O7k5ISIiAi8ePGiPNtDhJSUFMTFxaF+/frC5lPOzs5YsmQJnj17BjMz\nMxw4cEDnuPT0dNy8eRMnTpzQGhbj5OQEqVQKpVKJuLg4ITjXrl0blpaWePXqFZKSknD+/HmcP38e\nFhYWWru4GhkZYeTIkQAKJ5wWzegvcufOHfj6+iI0NBRZWVnw8PAQejeuXr2KFStWCI80w8PDkZiY\nqHfzqNTUVCxYsAD+/v4oKCjQGtN++/ZtbNy4UXj/5MkT/Pjjj1ixYgW3xKZKLyEhAfXq1YOtrS2e\nP3+u9ZmRkREAwNbWtiKaRiR6EolEWK77zz744AOsXr0aQOFykv369cOzZ88AFO5yvWLFCmFfFBKP\nMg+aLVqBIygo6LU9KkRvYteuXZg8eTIWLVqEyZMnC+u2A4Vj2x0cHGBpaVnieO/79+/rjGd//Pgx\nhgwZohMakpKS4OHhIezuWiQzMxP169fHuHHj0LNnT7i7u+Ps2bOIjIzU6sUvrnr16hg+fDgcHR0R\nFxeH4OBgFBQU4ODBgzpjEY8dOwYXFxedczRv3hwAYGxsrDMZVd/Eo8zMTNy5c0dve4gqg8jISPTv\n3x8ffvghevbsiVatWglPiwwMDCCVSpGTk4M5c+boDBkjotKLjY1FQEAAunXrhtGjR+P69es6dYo6\nwIokJiZi4cKF/2YzqZyUObwPHDgQTZo0QWZmJiZMmKB3GT2iNxEdHY0DBw4Iq0+oVCrs3btXmNiW\nnJyMu3fvIi8vD507d9YJ8NbW1joT34qEhYXp3X3uwYMHuHv3rk75/fv3IZfLERQUhKtXr+LChQv4\n4Ycf9C5lCQBKpRI//vgjbt26hUePHmHXrl1Yu3Yt0tPTderm5ORg5MiRsLGxEcocHR0xbNgwAIVD\naPbv34/x48fD398fq1atKnHDGva6U2WlVCoxZcoUxMbGAgDy8vJw8OBBjB49GmvWrIFEIoFarYZa\nrcbhw4cxfvz4Uu0QSUTa8vLy8Nlnn+H8+fPCSmaff/658HeviL5AHx4ernfFJ6rcyjxsxsDAAKtX\nr8b48eNx9epVdOvWDb179xbG+hobG5dqh7xWrVqVtQn0lomMjNRbfvv2bZw6dQohISHQaDQwNjbG\n2LFjERAQgD179uD58+eoUaMGPD09YWpqqvccTZs2RVBQkE4vuJ2dHZ4/f67TK29jY4N9+/bp1L99\n+zZcXFwQFRUllLVp0wZ37tzRqXvp0iW0adNGZ5Kei4sLHB0dsWTJEpw9exa3bt2CmZkZkpKSYGlp\niRMnTmD37t1C/QsXLsDV1RUymUxrpzw7Ozu4urrqvV6iinbr1i2dJU4B4NSpU6hXr57OjXZcXByu\nXr2KDh06ACgcBrdx40ZERETAyckJ/v7+OnNhiKjw34g/L+jw6tUrHD16FBMmTBDCuZ2dHR4+fKhV\nz9bWliuXiVCZw3vRgv5qtRoSiQTZ2dnYtWsXdu3aVepzSCQSvb2eVDVZW1vrLU9NTcWZM2eE97m5\nufjll18QGBgIGxsbPHnyBMnJydi9ezfq1aunM0m1Y8eO8PDwQPfu3REUFCSU16xZEz169ICjo6PW\nuHSJRIIBAwYI4wSLS0lJwZIlS7Bp0yZERETA3Nwc7du317uzsFqtRo8ePZCSkoLo6GjhO8eMGQOg\n8GnA+vXrhe89ffo0PvvsM62NmopERUXh888/x4kTJ5CYmIimTZti8ODB/KVLlZaZmVmJ5fo2ZgL+\nf8MmlUqFzz77DA8ePABQeCMQEhKCnTt3lvh7gqiqKumJlUKhwH//+18h2NeqVQtSqVQI8xKJhDsZ\ni1SZ/+VXKBRQKBTIy8sTwkfRLqtv8h9RkbZt28LOzk6rzMHBQWfzJaCwV+HUqVO4du2aVnlcXBw6\ndeqEfv36CeEhLCwMhw8fxsiRIzFt2jQ0b94cJiYmSElJwcKFC2FlZYU5c+bAy8sLjRo1QsOGDREV\nFYWGDRvqfG+zZs1w9OhRBAcHIzk5GY8ePcKyZctQs2ZNnbp2dnZo2LAh/P39hTHsKSkp+Omnn5CW\nloa9e/dq/R3QaDRaPe5/1rRpU3z33XdYuXIl/vOf/wiTeYkqo8aNG+vs2iiXyzFgwAB4e3vr1Dc1\nNRWWHb58+bIQ3ItkZGTorNJERIUdVH+eJyWVSvHs2TOtzqC7d++iXbt26NevH/z8/LBu3Tr07t37\n324ulYMy97z7+fmVZzuIYGhoiFmzZuGPP/5AbGwsnJyc4OPjo7dXG4DeTY0A4NmzZ7h8+bIwkTo3\nNxfbt2+Hg4MDzMzMcPv2bSE0x8bGYtGiRVixYoVWD3l0dDRMTExQu3ZtYSKdjY0NRowYgdmzZ+t8\nZ3x8PDp37owLFy5ArVbDwcEBkyZNAgCsW7dO2FAKAJ4+fYodO3ZobfhUJDk5GSNGjNBaAx6AMLGW\nSEyWLFmCdevW4ezZs1AoFJBKpdi0aRPGjx+PKVOmYMmSJdBoNHBwcMC3334r/BnXN1cEANLS0v7N\n5hOJgpmZGZYvX46FCxciOjoadevWxYQJEzB37lydumFhYXo3PSRxKXN417eVO9GbSkhIwIEDB/D0\n6VM0aNAAfn5+wo1hXFwcTp8+jerVq8PU1FSrB75Zs2Z610sHCpee07cC0pUrV2BiYqLzxCc7Oxsn\nT57UWQJSoVDAy8sLHh4eyMvLg62tLSwtLfU+CcjMzET//v2Rn5+PBw8ewNLSEgqFAjk5OTqThoDC\n5SWbNGmCGzduaJW7urqiR48eyM/Px8mTJ5Gbm4s2bdpgxIgRJf8QiSopc3Nz+Pv74/Dhw8INbHBw\nMG7cuIF9+/Zh06ZNUKvV2LdvH4KDgzFq1ChkZGSgdevWkMvlOsMBOnXqVBGXQVTptWjRAtu2bUNe\nXh6MjIwgkUiwbNkyrd3CAZQ4L4zEpczhnejvyszMxOzZs4V/1GNjY3H79m38+OOPOHnyJLZt2ybU\nrVWrFlq1aoW0tDQ0bdoU77//PgwNDdGrVy8cO3ZMqNeyZUu0aNECR44c0fk+Y2NjyOX6/8iXtIpM\nSkoKQkNDERwcDKVSCQcHB7zzzjs6j/Td3d0xb948oTc9NTUVUVFRmDdvHszNzbV63oHC8f3Dhw9H\nfHy8MB7RysoKH3/8MSQSCXx9feHr6/tXP0KiSi8oKEjnz39KSgpOnToFiUQCmUyGkJAQfP3118Ln\ncXFxcHNzw9OnT5GRkQEjIyP4+/ujTZs2/3bziURDrVZDpVIJi4UMGDAAv/zyi1adAQMGVETTqJwx\nvFOFOX/+vM4/6klJSbhw4YLO2O/k5GTUqFED48aN0yofPnw4OnXqhOjoaNjZ2aFJkybQaDSoX78+\nnjx5ItSTy+VwdnaGjY0NgoKCtHr0rK2thcmsf+6lkMvlOH78uPD+6dOnsLa21jq/q6srmjVrhvPn\nz2sd++rVK1y4cAG+vr5aw2BkMhn8/PxQo0YN9O3bFzExMWjQoAE6d+4s3FwUPQ148uQJnJ2d4ePj\nAxMTk1L/bIkqi5JujItPWtU31+Pu3bs4cOAAMjMzYWtrCwsLi3+sjURid+DAAaxZswbJyclo3Lgx\nvv76a3zyyScwNTXFTz/9BAD44osvMGjQoApuKZUHhneqMPqGnwCFY9aVSqVO+ePHj3HlyhXs3r0b\nSUlJcHV1hb+/P+rXr4/69esL9SQSCaZPn47du3fjzp07kEqlePnyJVavXg1DQ0N06dIFT58+RUJC\nAqysrGBiYoIdO3bAzzXZK50AACAASURBVM8PBw8eRG5uLiQSCTp37qx3qbuXL1/iyy+/hFwuh0wm\nQ926dfVuogQUBhSNRgMLCwsUFBTA3t4eI0aMgIWFBaZOnYrU1FQAwNmzZ2FoaIiOHTsiPz8fs2fP\nFpavDA0NxZUrVzB37twSnxwQVVZeXl5Yu3at1lrSBgYGUKlUyMnJgZGRkd7VZ4rWgNe3oRkR/b+b\nN2/if//7n/D+/v37+OKLL3DkyBEMGTIEW7ZsAQAMHjy4oppI5azMSeDvrC8tkUhgaGgIY2NjWFtb\nw8nJCR4eHujTpw9X0KhC3nvvPRw4cECrTCaToVOnTvjjjz90xruam5vj559/FsasR0ZGYv78+Vi+\nfLlOqK1evTrGjBmDp0+fYtq0aUJ50So1P/zwA06ePImQkBAAwL1792BgYIBp06ZBo9HA2toaNjY2\nWL58ud62GxsbQ61WC5tI2dnZwcjISKfn/uXLl1rj2qOjoxEbG4uHDx8KwR0oDCqbN28W1oX/87rz\nT548wfXr19G2bdvX/UiJKh1nZ2d8//33WL58OV6+fInatWujoKAAy5YtA1D4lKlZs2Y6x7m6usLe\n3v7fbi6R6Jw4cUKnLD09HZcvX0bdunWFJ9xRUVG8GX5LlHmpyLIsC1n0n1qtRl5eHtLT0/Hw4UP8\n8ccfWLhwIXr1+j/2zjywhnP//++zrznnZN9XhASxxW0i0Qi1lKigde1tVe9tS9vbTYv+XJSWi3ur\nVdRt7UVVqa2UCKK22CIkJELIIvt2cvZtfn+c75mbyZxYYkt4Xn/lPDPzzHMmc2Y+z+f5fN6fwYwQ\nBcLTTVhYGF599VVIJBIAgEKhwNtvv42QkBCMGDGCsa+3tze4XC4r2bS6uhqXLl1Ceno65s2bhxkz\nZuC3336jDf+MjAyn5z558iRLT91sNiMlJQXh4eG4dOkSli1bBrFYzCo21q1bN7i4uGDu3Lk4ceIE\nSktLce7cOXA4HLpqqkKhwIQJE3Dp0iXWuVNSUuiqsQ2pr69HZWWlU28/gCbbCYSWzqBBg7Bnzx7s\n378f/fr1Y0xcAXsy+ciRIyESiQDYk++IKAKBcG8IBAKn7VevXsWrr75KS3u/+uqrtMOK0Lpptuc9\nLi4OHA4HOTk5tFFBURS4XC4CAwPh6uoKiqKgVqtRWFgIi8XCMoIaG2K1tbX48MMPIRKJ0Ldv3+YO\njdCKGDhwIBISElBVVQUvLy/6IZScnIyoqChcvHgRrq6uiImJYSSwNiQ3N5ehOnPz5k1UVFTgzTff\nhFKpdHqMQCBwWmegtrYWS5YsQWZmJt2mUCjg7++P+vp6dOvWDcOHD8fJkydRV1fHONZgMGDUqFGI\njY2FTCaDyWSilysbYjQa0bZtWxQWFjLa5XI53N3d0alTJ2zfvp11XKdOnZx+F8KjZdKkSU5lPQnN\no7HhDth/O4cPH4ZSqQRFUSgtLSXFYx4C3t7eWL169ZMeBuEhUltbi5UrV+L06dPw8fHBpEmT8NJL\nL2Hr1q2M1Wp/f3+kpqYyqnJbrVYsX74cffr0eQIjJzxMmm28//jjjzh48CA++OADAEBwcDCmTp2K\nfv360Z5UByaTCWlpafj+++9x6dIlSCQSrFixAtHR0VCr1cjJycHGjRtx6NAhUBSFzz77DCkpKSRB\n6RlBLBazijMBdiM3KysLJSUlyMzMRGxsLH2POHB3d8eVK1dYx6alpWHs2LF47rnnsGPHDobx5enp\niRdffBFHjhxhGRJ+fn5ITU1ltKnVagwZMgRDhw6l25pKwjMYDDAajTh06BAsFgvCw8ORk5PD2KdX\nr16Ij4/HpUuX6AkAh8PBmDFjkJOTg+PHjyMoKAiFhYWgKIpOcA0JCWniCtoNoi1btuDy5cvw8vLC\n8OHD0aVLlyb3J9w7ZWVlKC0tJRJrD0DD6sVNFedz5JoQHg5N5RQRWjfvvfceXZm+sLAQ58+fx5o1\na7B06VKsWrUKhYWF6N69O959913WCjYAhpCDg99//x1r165FRUUFYmNj8eGHH5JKxi2cZhvvt2/f\nxqeffgqr1YpevXph+fLl9JJnY4RCIV544QX07dsXn3zyCfbu3Yv3338f+/btg5ubG2JjYxEbG4ul\nS5dixYoVqK+vx549ezB27NhmfzFC66a4uBgLFiygE1dPnTqF69evY8qUKdi+fTvKysoQGRmJiRMn\n4ptvvmEdb7VakZubi3379kGr1cLT0xMuLi7o0KEDhgwZAplMhqlTp2Lp0qW0AR0dHY2wsDCW8Q6A\nLtR0+/ZtZGRkgMvlgsfjMbwaHA4HHh4emDZtGkwmE90WGhqKmzdvgs/no0+fPkhOTgafz8eiRYtw\n8uRJaLVaREdHIycnhxUqMHz4cPTr1++OuSA2mw0LFixAUVERALtnZvHixZg7dy5CQ0Pv57ITmkAm\nk5Fkr2Zgs9mQnp6OnJwcWK1WeHl5oWfPnjh69CijFsNzzz2Hjh07PsGRPn1s2bLlSQ+B8JC5fPky\nbbg7sFqt2LFjB2bOnIng4GDU1taiXbt24PF46Nq1K86dO8fYv1u3bozPJ06cwKxZs+jPBw4cQFFR\nEdavX//ovgjhgeFQTblB7sL8+fOxYcMGuLq64o8//rhnL7ler8fAgQNRUVGB1157jZFMaLVa0b9/\nf5SUlOAvf/kL1q1b15yhtUiKiorQr18/HDp06KEmYfXu3Rt6vf6pS/TV6XROK6jK5XIIhcK77tvY\nsAbshrRjWV6n08FsNoPL5UIkEkEoFNLHNA6HAezGm+O4hv0Bdq8ih8OBVCqF0WhkJdpyuVwoFApw\nOJwmPYsURaG2tpblleTxeE2G/jgwm80syU3AXqyqpXqLq6urIZFIWPKaLZEhQ4agvr6eGO/NICsr\nC6dPn2a0ubu7Y/DgwTh+/DgKCgpgsVigVCrRq1cv+Pr6PqGRPn1s2bIFLi4u2Lt375MeCuEhkZ6e\njnfeeYfV3r9/fwD2fCqKouDr64uvvvoKYrEYU6ZMQVVVFQD7b2/KlCkoLy9HUFAQEhMTMXPmTKcO\nq59++gnt27d/tF+I0CR3sxmbnbCalpYGDoeD/v3731d4i0QiwYABA0BRFOuG4fF4iI+PB0VRKC4u\nbu7QCC0ch7GpVqthMBicLqM3Nae02WzQ6XSor6+HXq+HzWaDRCJhGPQ8Hs+ppCJFUTCZTKivr6c9\n+jabje7HcWxjPXWhUAg+n8+Ss6MoCkKhEEqlEiqVCiKRiDVhcJzDmeHuSNw2GAyw2WxOv3NDeb2m\naOpaNXNeTiA8NPLz81ltVVVVKCgowI0bN+iJbl1dHQ4dOkSvWBEIBDbdunWDu7s7q53P5+PgwYP0\nM7+kpAQzZ85EWFgYdu7cCaVSCaVSiYSEBMydOxcrV67EjBkz8MYbbzT5m3P2LiO0HJodNlNSUgIA\nTmOV74anpycAoLS0lLXNx8cHAOiqk4Q7o1AoIJFIsGzZsic9lHvi8uXLWLBgAW2UWiwWxMXF4fXX\nX2fsl5ubi9mzZzPapFIpFAoFfd+YzWa4ublh/vz5EAqFqK2tRUVFBUJDQ7F37178/PPPrPPHx8fj\nwIEDrPbo6Gi8+eabAOyqL4sXL6arqAYHB2PYsGFYvHgx67g2bdrg888/pz8vWrSIIQ0JAIGBgVi4\ncCGj7erVq1i4cCEtLSmRSBAYGMhKYo2KioK/vz9qamrQpUsXxMfHg8vlQq1WY8+ePbh+/Tr8/Pxw\n5swZqNVqxrEffvghoqKiWGNuCUydOrVJhQTC00NT/2NnzhmTyYSioiKEhYU96mERCK0SgUCAf//7\n35gzZw5u3LgBmUyGiRMnOq0zUlxcjBs3bqBt27YQi8WwWCwsIYTs7GynlbzDwsIeSA6c8OhptvEu\nFAphNpub5SF3HNM4sRX4XyIgl9vsRQFCC2bv3r0sb3JqaipeeeUVyOVyui08PBxvvvkmfvnlF9TW\n1iIwMBDdu3dnqMoA9nvpzJkzEAgEWL9+Paqrq6FUKpGUlMQKnREIBGjfvr1T473hmDZu3Egb7gBw\n7do1HDx4EAKBgFU8KigoiP77ypUr8PT0hEQioe9jkUgET09PTJ48GUKhEH379sWIESOwYcMGhia8\nXq8Hj8eDm5sbnUTr5eWFnJwcXLx4EYBd3jInJwevv/46vvjiC/p3dOXKFcjlcgQFBaGgoAAKhQLD\nhw9vsYY74dkhIiKC9Y4IDg52+uwHmjb2CQSCnY4dO2Lr1q2orKyEi4sLRCIRrl69ytrPkZd14cIF\nWK1Wp4UPAfsK7UcffYS1a9eiuroaf/nLXzB9+nSSPN7Cabbx3rZtW2RkZODAgQP46KOP7hqX66C+\nvh4HDx4Eh8NhVMV0kJeXB+B/HnjC04WzeHKr1YobN27gyJEjyM/PR3BwMF5++WUkJiYiISEBOp0O\ncrkcO3bscNrnrVu3sG/fPtpQr6urw6ZNmzBx4kTs27cP5eXlkMvlSExMRPfu3eHh4cHSTG/fvj3q\n6uqgVCpZCT4AkJmZiVGjRjG8+R4eHkhKSgIArFu3jlEow8PDA0OHDkV2djYd86vT6bB9+3YIBAKn\n4QS3b9/GDz/8gCtXroDP5+P48eOs0LIjR44gLCyMZRBpNBoMHz4cCQkJEIlE4PF4Tq8VgfA4ccTV\nZmVlwWAwIDg4GN26dYNWq0V2djZjcu2QZCUQCHenoRrMuHHjkJaWxvg9RUZGYvz48YzVXWd06NAB\nr7zyCsaMGQOLxUKqeLcSmv1fGjhwIDIyMlBXV4d//OMfWL58eZM3hwOTyYSPP/4YNTU14HA4GDBg\nAGP7jRs36Fj6rl27NndohBZM165dcfPmTUabj48PVqxYQRv2ZWVlyM7OxpIlS+Di4gKpVEpXYfzl\nl19YfdpsNlZ8HkVR0Ov1CAoKQnl5OTQaDXbv3o1r167h448/xoYNG5CdnQ2lUgmr1YpVq1aBy+Ui\nISEBcrmcFd/u4uKCYcOGAbAb0EKhEEOHDoWbmxuKi4tZFe4qKythMBhw9uxZ1niPHj3qNEQmKCgI\ndXV1EAgECAkJYa0yOL5X4+qrDurq6ljx+gTCkyY0NJSleqRUKjFo0CD6HeLt7Y0ePXqQFVcCoRl0\n7doVq1atwpYtW1BdXY2oqCisWbOGsY9er0ffvn0ZDqFOnToxJJCJ4d56aPZ/asyYMdi4cSNu376N\nU6dOYciQIfjb3/6GxMREusqkg9LSUhw5cgRr1qxBQUEBAMDX1xdjxowBYL+pfvnlF/z3v/+F1WoF\nh8PBSy+99ABfi9BSGTZsGAoLC2nvtqenJ2JjY1ledY1GgxMnTkClUuGnn35CZWUlvL29ERcXh1On\nTsFqtYLH42HkyJFQqVROz1VbW8synq9evYqCggLMnDkTZrMZH3zwAWprawHYJwGHDx9GTEwMLQ3p\nYPDgwdi/fz/D8758+XKYTCaIxWKn53fc642hKArjxo3DkiVL6KVMkUgEFxcXvPfee6AoClKplCXp\nBdjj/vv27Yv9+/ezElKd7U8gtFS8vb0xcODAJz0MAuGpoEuXLnRtj61btzrdJygoCD/88APOnz+P\noKAg9OnThxjsrZRm/9fEYjFWr16NcePGobKyEiUlJZgzZw7mzJkDuVwOFxcXUBSFuro6RkEbiqKg\nUqnw7bff0l7CjIwMfPnll3SMVUJCAmJjYx/wqxFaIiKRCB999BHKy8uh1WoRHByM/fv3O923vLwc\nGzdupL3qZWVlqK6uxhdffIH6+np4e3uDw+FAIpFg69attBEO2CUlmzLqHR7vW7duOa32qNVqMWnS\nJOzZswdGoxFdu3bFkCFD8N5777H23b17N6ZNm+a0+Ezbtm1BURQrmSgyMhKHDh2Cn58f5HI5Onbs\nCLFYzNDV1el0SE9PR8eOHZGVlQXA/pv7+9//Dn9/f0yePBkbN26EXq+HQCDA8OHDiawXgUAgtELq\n6+uxYcMGZGRkIDAwEBMnTnQaVnyvOERBGuPh4YGuXbsyIhuys7NRV1eHbt26NemIakx5eTntXIuP\njycTgCfAA13x4OBgbN68GfPnz8eRI0fo9vr6eroAR2ODJjY2FnPnzkVgYCDd5oj/pSgKCQkJWLJk\nyYMMi9AK8PLyov/u2bMnNm/ezAh94XK5oCiKFQ5jNpuRk5MDk8mEr7/+Gnq9Hl5eXhgzZgwuXryI\nGzduwM/PDz169ICLi4vTc7dp0wYAmtwuEomwY8cO1NTUALCHuej1eqfx+rW1tfD09ERMTAxOnjzJ\nOEdkZCSqqqrg7++PsrIyiEQi9OjRgxWbKBAIGMm6Db/rgAEDMG7cONTU1KB9+/b0hDcxMRExMTEo\nLi6Gj4+P0+MJhJZEVVUVMjIyUFtbCy8vL3Tr1o1132ZnZyM7OxtmsxnBwcHo2bMnSWIlPNVQFIUp\nU6bQxZfOnz+Pw4cPY9OmTXBzc8OaNWuQmpoKhUKBMWPGoG/fvnfts3fv3mjbti2dQwjY36mdO3em\nP2s0GnzwwQe0OppSqcTChQsRHR19x74PHDiAWbNm0TKvISEh+P77751KWBIeHQ88XQoMDMTKlStx\n7tw5HDhwAGlpaSgsLGQUqgkMDETPnj0xYsQIpzeGv78/PvzwQzz33HOkpPsziKenJ6ZOnYoNGzag\nuroaKpUK48aNY3jSG1JeXo59+/YxPq9btw7ffvst/vzzT2zcuBHnz58Hh8NBQEAAXXkUAAICAmCx\nWGA2m+Ht7Y2ePXvizJkz9HYejweZTEYb7g7S09MRERGBK1euMNrbtWuH999/n97f29sbI0eOhKen\nJ2bNmsVQlJk4cSLy8vJYE5KMjAwkJiY6/a5ubm4ICQlBSEgIa5tEIkHbtm2dHkcgtCQ0Gg1+//13\nOkysrq4OJSUlGDlyJJ1cnZubi1OnTtHHXL16FQaD4Z6MFQKhtXL27FlW1VS1Wo2dO3eiqKiI8a67\ncOECFi9ejD59+tyxTz6fj++//x6bN2/GhQsXcOHCBdhsNrz66qvo3LkzFi1aRG9zUFdXh9mzZ2PX\nrl1N5p4YjUYsXLiQYd/dvHkTa9euxUcffdSMb09oLg9traNHjx7o0aMHpk+fDsB+I5hMJiiVSlZF\nzMYkJCQgISEBgD1kweHh9PPze1jDI7RwnnvuOURHR9OKLzweDzU1Ndi+fTsj7EqhUDDKqjvQ6XT4\n888/sXbtWnq1h6IoFBUVYdy4ccjPz8fJkydRVFSEZcuWwdvbG7NmzcKUKVOwfv16nD17FkKhEC++\n+CKuX7/udIxxcXHQ6/V0wm2bNm1QWlrKMPTLyspQVFSEEydOMAx3APjll1+a1LDu3Lkz0tPTodVq\n6bZOnTrRqwQEQmsmLy+PJVWn0WhQWFhIT0ydyd3dunULBoPhnpfzCYTWhqP6aWNKSkpYQgiAPZ69\nT58+KCgoQH5+Pjp27MhQnnGgVCrx1ltvYfr06Qwp5EuXLmHhwoVO6+yUlpaioKCA/k2eO3cOGzZs\nQGVlJXr16oXnn3/e6Qp0ZmbmvX5dwkPikQUq3at0ZGN+/vlnLFq0CBwOhzUbJTzdOHTOHbi6umLm\nzJn45ZdfUFBQgLCwMPz1r3/F0aNHnR5fWlrqtKpoRUUFMjMzGdvKysqwa9cuREZG4vDhw/S2DRs2\nIC4ujtUHn8+HQqGAh4cHKIpCx44d0adPH0ybNo21b2ZmJkutBrCHk3Xs2JHWbXegUqkQHR2N4OBg\nWtqyY8eOLDUmAqG10pTGdMPqjk1VWiaVgglPM8899xyEQiGr0mm3bt2wZ88e1v719fX48ssv6YJL\nPB4P7777LsaPHw/ALjl88eJFBAUFoWPHjkhLS2P1cezYMfTu3Zu1kiwUCunwl0uXLuGdd96hV4qv\nXr2Ky5cvQywWw2AwMI4jhdUePy0yy4A8rAkOwsLC8OmnnzLaEhMTcfDgQcbDLjAwEJ07d2YsMToQ\nCAROvfV5eXm4evUq637Lzs5GdHQ0rVTD4/EwcOBAfP3117QH49atW6iqqgKfz2csIQL2SUdAQABL\nscbb2xsvvvgiysvLcfjwYVitVnh4eGDKlCng8/nw9fXFpEmT7uPqEAitg+DgYFy6dInRxuPxcPv2\nbXrVy9XVleWF9PPzu6sEMYHQmnF1dcXcuXPx1Vdf0VLBY8eOxbBhw7Bt2zaWgd2mTRtGpVSr1Yql\nS5ciISEBqamp+O677+j3VGJiIlxdXVledjc3N7z22musFeKkpCRaOGTr1q2sEM/09HSMHz8eGzdu\npNuUSiVee+21h3ItCPdOizTeCQTAbkRv2rQJt27dQps2bTBu3Di0a9cOfn5+GDFiBA4ePEirwYwb\nNw4uLi6sJB13d3cMGDAAhw4dYnkLAgMDGfHuDmpqavDee+/h5s2bqKysREREBFavXs2qDJueno4+\nffrg8OHDdBuPx8PQoUPh4eGB3Nxc2oAXiUSYNGkSeDweXnvtNYSHh6O4uBi9evWik7dLS0uxZcsW\n5Obmwt/fH6+88grCw8Mf2vUkEJ4UXl5eiI2Nxfnz52E0GiGTySCRSHDjxg0AgMFggFqtRmBgIEpL\nS2GxWBAYGOh0FYxAeNp44YUX0Lt3b1y/fh1+fn60UtpXX32FmTNnIisrC3w+H0OHDnUahkxRFFJS\nUrBixQrGe+rw4cNISkpiefAnTJiAjh07Yt26dfj1119RVFSE69evY/v27dizZw9GjhwJtVrtdKz9\n+vVDQkICjh49CpVKhaSkJKdhO4RHCzHeCS2SyspK/Otf/6K967m5uViwYAH+85//YNeuXfj999/p\nfTMyMjB8+HAolUpMnz4dBw4cwLVr1+Dv749BgwbB1dUVL7/8MsNboFAo8NJLL9GSjA0JCwvDokWL\ncPnyZbi4uCApKcnpg4yiKAwYMADt2rXD2bNnIZfL0b9/fzpOffHixcjIyIDBYEDXrl0hl8thMBgw\nf/58Oq5+586dGDNmDAYOHIh58+bR0pW1tbXIy8vDggULWHUTCITWBkVRUCgUiI6OhqurK6RSqVMt\napPJhHHjxoGiKFIlmPBMIRKJEBkZyWgLCAjAunXrUF5eDqlUCrlcjs2bNzs9vr6+nuVgAv6nZqbX\n6+Hj44ORI0fSNXbatm2LTz75BMnJybSjyWQyYfPmzRg8eDCrL29vb0RERIDP55O6Ik8YYrwTWiQn\nT55kxQDq9XocOXKElcSj0Wiwd+9eTJgwAX/88QeysrLg6emJ3r17w9XVFYC9yFJ4eDjOnj0LhUKB\n+Ph4KBQKjBs3DkVFRXTVUnd3d+h0OtojqFarsWnTJvTq1Ys1Rm9vbwQGBiI4ONhp9r9arUZeXh7K\ny8uh1+vpcJ/GCbFbt26FVCplac4bjUYcO3YML7/88v1dPAKhBWEymbB//35UVlYCADgcDnr27Ol0\nX5vNRqqsEgiNaCitnJSUhC1btqC4uJhu69atGxITExm1QhxwOBw6bLS4uBjfffcdXaAJsMeyO6va\nXV1djdGjR+PXX3+F2WxGUFAQvvjiC6Lp3kIg/wVCi6SpvIf6+npWHB5gDzn597//zYirPX36NObN\nmwcvLy/s3bsXp06dgkgkQv/+/aFQKADYZSr/9a9/IScnBxaLBTKZDJ9//jmrf51Oh/j4eBw/fhwU\nRcHb2xvvvfdek4ZGTU0NPv/8c1ru8tSpU7h48aLTB5/VakVJSYnTfhpPYAiE1sbly5dpwx2w/7bP\nnz8PLy8vVl4IkT4lEO6Mi4sL1q5di19++QWXLl1CbW0tDAYDUlNTERcXh+PHj9P7BgYGsmLmrVYr\nvvnmG9p4b6reiYuLCz7++GP87W9/Q21tLQIDA+l4eMKThxjvhBZJbGwsPeN3IBaLMWDAABw+fJil\n5uLj44PU1FRGm16vR0pKCqxWKw4cOEC35+TkwGazIT4+HoDdMA8NDYVYLGZowjeEz+fjrbfeQmRk\nJG7evImuXbvSclpWqxWnT59Gfn4+AgMDERsbi5SUFJZO/fnz551qVnM4HMTFxSE1NZURl8/hcBAT\nE3MPV4tAaLk0NtABwGKxoHPnzrh69SqKi4shFAoRGRmJDh06PIEREgitC1dXVwwePBg//fQTLS98\n5coVREREYM6cObhw4QKCgoKQnJyMoUOHso4vKCiARqPBoUOHUFRUhMjISIa6H4/Hw6hRowDYQ0wd\nzi5Cy4EY74QWiaenJz755BM6YTUsLAzjx4+Hp6cnJk+ejBUrVtCGfXh4ODp37swy3gG7hm7DQhQO\n9u/fj8jISKxYsQJZWVkQCATo06cPJkyYgHbt2uHatWuM/RMSErBw4ULas3/gwAHExMRg6tSpWLRo\nEUPnNjU1tcny1O3atUNWVhbKysrotoEDByI0NBQff/wx1qxZg+LiYri5uWHUqFFEgovQ6lGpVKxl\neQ6Hg9u3bzNWnFxdXYlnj0C4R3777TdGXRDAbsB7e3tj2rRpOHXqFDIyMhAZGckSZmjfvj0mT57M\nEHcIDw+HzWaDh4cHJkyYQGLaWzjEeCe0WDp16oQvv/yS1R4TE4PIyEhkZWVBpVIhIiICer0eEomE\nUdDJ0UfjhFTAXgzsu+++o5cUzWYzDh48CFdXV3z00Ud0lVaVSoVhw4bBbDazpO5OnTqF0NBQVoGK\n3NxcWkGmIXw+H127dkXPnj1x/PhxVFZWolOnTnTJ6sjISCxatAgajQZSqZTE/hKeCjp16oT8/HzG\nbzMoKIixnG8ymZCWlgYfHx8iDUkg3ANNVSDPzc3FrFmz6BUvx6TYEYoql8vRpUsXVsJ4bm4utm7d\nShxGrQRiHRBaJQqFArGxsYiIiAAASCQSTJkyBXK5HADA5XLxwgsvoF+/fqwMfgDo0qULKxYQsCfK\nVlZW4vr169DpdCgrK0NeXh7y8/OdjiMnJ8dpu0wmYyS5CgQCvP7661AqlZBKpejfvz/GjBlDG+4N\nkcvlxHAnPDXI5XIkJyejR48eiIyMxIABA5xWTLVarU4T5wgEApvnn3+e1SYWi3HkyBFGqFpNTQ1d\nZHD27NnYvXs3zIMIYwAAIABJREFUy8nloKEnntCyIZ53Qqvk2rVrOHDgALRaLXr27Ik+ffqge/fu\nWLZsGQoKCuDu7k4rzbz99tv49ttvkZubCy6Xi5iYGAwbNgyHDh1iJb+KRCJ8/fXXdIKd1WrFwYMH\nkZiY6HQcUVFROH/+PKu9ffv2GD16NJKTk1FWVobw8PAmE4MIhKcdiUSCLl260J+dxcE79iM8m0ya\nNIkRTki4OzKZjA6d4XK5EIvFTt9HZrMZFosFS5cuxb///W+nog8AsGTJEixduvSRjvlpxNvbG6tX\nr36s5yTGO6HVceXKFXz55Zf0AygjIwNFRUWYMGECuFwuqqurce3aNXTu3BkBAQFwd3fH7NmzUVVV\nBYFAQCff9OrVC8eOHWP03bVrV2zbto11zoqKCnTu3JkROhMbG4sBAwbg1q1bjEJNoaGh4HA4sNls\nCAgIQEBAAM6fP49jx46Bw+GgT58+iIqKehSXhkBoFYSHhyM7O5uhpuTh4QFfX98nOCrCk6SsrAwl\nJSVE37+Z2Gw21NXVOd1GURQoikJNTc0d+6iurqbDa0j+yb3R1EToUUOMd0KrY8+ePawfTEpKCl58\n8UUsWbIEt27dotvHjh2LpKQkWCwWZGVl4ebNmwgJCUFsbCzeeOMNuLq6Ij09HRKJBAMHDkT79u2d\nGu8uLi6YMmUKMjIyUFBQgDZt2qBTp04AgDfffBN9+/bFrl27cObMGeTn5+Nf//oXwsPDMX36dKSl\npWHNmjV0X6dOncI777xDq90QCM8acrkcQ4cORWZmJtRqNby9vdG5c2diMDzj8Hg8p/lChHtHp9Mx\npFkBu4e+sUIbYK9rYrVaIRaLIRQKUV9fj7q6OthsNggEAri5uTmt6Er4H4WFhU/kvK3WeDebzdi6\ndSt2796Na9euwWw2w9vbG3FxcZgwYQJd5fJhkp2djVdeeQUWiwVfffUVRowY8dDPQbg7zrwHZrMZ\n+/btYxjugL0AUlxcHL777juGFNaRI0cwc+ZMjB49GsOGDUNKSgrOnz+P8vJyREVFMZJQuVwuBgwY\nAC6Xi+7du6N79+6oq6tDWloanfzj7u7OWq7Mzc1Famoq9u7dyxrvzp07ifFOeOagKAqZmZm01z0k\nJAQvvPACRCLRkx4agdDqMZlM4HK58PLyoo11mUzWpEeex+NBJpMBAAwGA+PdajKZUF5eDn9/fzKp\nboG0SuO9pqYGb775Jkv9o6CgAAUFBdi+fTvmzJmD4cOHP7Rzms1mTJ8+HRaL5aH1SWgeUVFRuHnz\nJqPNx8fHabykxWJBamoqw3AH7FXlzp07hx49emD+/Pl0RdX09HR4e3sjKSkJly5dgs1mg0qlQk5O\nDvz9/SGXy5Geno5ly5bR94Kvry+Sk5OdLp/l5OQ4nWxUVVU19+sTCK0Wx+/OwfXr12EymdC/f/8n\nOCoCoXVjs9lQUVEBo9EIwG6Ue3p60l5zgUDAqCHioGHRwMayk45+DQYDyUVpgbQ6SQubzYZ3332X\nNtwHDRqEVatWYfPmzfj444/h4uICo9GIzz//HKdOnXpo5/3+++9x9erVh9YfofkkJyczkt/c3Nww\nZcoUBAUFsfblcrlNViktKirChQsXaMPdQVlZGby8vCCXy1FYWIhLly5hy5YtmDVrFtRqNVavXs2Y\nxJWUlCAzM9OpdyIgIIAOr2kIiXknPIs0rp8A2Jedm1K/IBAId6euro423AF7HLbDQURRFEQiEUvB\nTCKRoKamBqWlpU3KTgIk9r2l0uo87zt27KALDkyaNAmffvopva179+7o27cvxo4di9raWsyfPx87\nd+58YNm9nJwcrFy58oH6INyZM2fO4MyZM5BIJOjXrx9tiOt0Opw6dQparRbR0dHw9fWFWCzGp59+\niuLiYmi1WrRp0wY8Hg8eHh44efIkwwOflJSEqKgo7N69m3XOdu3aobi42Ol4rl69iqysLEZbaWkp\n9u3bB7Vazdq/uLgY/fr1Q0pKCt3m6emJAQMGoHfv3li0aBEtgxcUFIQJEyaw+tDpdMjMzIRYLEbn\nzp3pxK2SkhKkpqZCo9EgOjoaPXr0AGBPLtq9ezcKCgoQFhaGpKQkKJXKO15nAoFAIDxdOJv8ms1m\nOhTGUdDQoUgjEAgYoTQmk8lpbDufzychbS2UVme8r127FoBdmeD9999nbW/Tpg2mTp2KefPmITc3\nF2lpaejTp0+zz2exWDB9+nSYzWa4urreNVubcP9s376dkSR6+PBhzJgxA66urpgzZw7tFfj555/x\n1ltv0bHi/v7+jH6USiW+/PJLnDhxApWVlYiKiqJ14Pv06YMjR47Q+wYEBCAlJQV+fn5Ox6RSqZy2\na7VaiMVi1hKkn58fXn/9dXTr1g2XL1+Gp6cnevfuDZlMBoVCgUWLFiEvLw9cLtdpPsaVK1ewePFi\n+iHs6+uLGTNmQK1WY+7cubRX5ejRoxgxYgQGDx6M2bNn04lJV65cwblz57BgwQKSYERosbRr146V\nTBcYGEiW5QmEB4DP57NCejkcDtRqNW24A/bIBYqinIb/mkwmuLq6QqvVwmKxQCwWQ6VSEc97C6VV\nGe83b95Ebm4uAHtJeWeFPgBg+PDh+Oqrr2C1WrF///4HMt5/+OEHupLnu+++i7lz5za7LwIbo9GI\nPXv2MNosFgt27doFuVzOWM6z2WzYuHEjYmJiGLF6DXF47hvzt7/9DS+88AIuX76M3bt3o6ioCEVF\nRQDshnJ5eTmsVis4HA7Cw8MREBDAqErnICoqCl5eXti0aRPdJpVKkZycDA6Hg27dujktK83hcNCu\nXTunY6YoCv/9738Z3pOSkhL88ssvMBqNjOVQwK62I5PJWEZQaWkpzpw5g7i4OKfnIRCeNBERETCZ\nTMjOzobRaIRYLEZNTQ3S0tLQo0cPOnmOQCDY3w1WqxU8Hu+ORrRCoWA5lFxcXJyuEuv1+iZtJ6FQ\nSOqRtBJanPE+atQoDBw40Om2hmoef/nLX5rsQy6Xo0OHDsjKynqguPe8vDx89913AIDp06c3ecM/\naaqrqzF16tQnPYxmYbVanSbSNE5GdqBWqzFlyhS66ASXy4VEIqFDTKxWK0wmEzgcDoRCIStkSqfT\nsc5XUlICmUwGg8EAq9WKnJwc5OTksB6WQqEQa9asAYfDgYuLC8xmMzgcDgQCAb744gtwOBzGpIKi\nKJhMJlAUxRiLIwnIZrOBz+ezljAd/Pnnn04f2CaTiVXa2sHq1auxefNmp9taEtXV1fD29n7SwyA8\nAbp06YKQkBD89ttvtCJGXl4eysvLMWLECFJdmECA/V1VU1MDq9UKLpcLlUpFVxBvjFgshre3NzQa\nDWw2G6RSKV3AqbGQAo/Hg1QqZb0HeTzeA63aWiwW6HQ6cDgcSKVSotf/iHloxjtFUaitrYXJZKKX\nZu6FxmELcrm8yRv0+vXr9N8hISF37DcoKAhZWVkoKSmBVqu9b4+O1WrF9OnTYTKZEB8fj+TkZOzf\nv/+++ngctHYDiM/ng8fjsR4wQqGQ9jo0hMPhQKfTMdrNZjPc3d1hsVgYRrBer4erqysEAsFdx+Hs\nXI57WKlUgqIo6PV61NbWgs/nQy6XQyqVwmQyoba2lt5XKBRCqVTCZrOhtrYWNpsNgP1BrFKpIBAI\nGO0mkwl8Pt+pl5/P54PP57P0eblcLqRSKcsjD9hXAZpalWhJeHt7t/p7l9B8cnNzWb83tVqN4uJi\novNNeOaxWCyMlVWbzYbq6moIhUIIhULYbDbYbDaGR14kEkEoFNLGPmB/d1VXVzP6ViqVkMlkMJlM\n0Gg0AOzvGnd3d7ovo9EIq9UKkUh0T0a4Xq9HRUUF/bm2thbe3t4khPMR8sBv+WPHjmHt2rU4c+YM\nI7bqXuBwOCwJvzvRMBHxbpX4Gm4vLy9HaGjofY1tzZo1yMzMhFQqxRdffHFfxz5OHndJ3kdBRkYG\nPvroI9rwjoyMxDfffAO1Wo0333yTzprncrmYMGEC1q1bxzieoii89NJL+OOPPxhhNhRFoUOHDvjm\nm2/ott9//x2zZs1iHC8QCPDKK6+w+gXsk8lt27YhOTmZvr8diUAbNmzAG2+8wTC6TSYThg0bhvz8\nfBw6dIjRl0wmw4gRI/Dtt98y2i0WC/7617/i559/pttEIhGWL1+OkJAQvPvuu/TvRCaTYeHChYiJ\nicH69evx/fffw2g0QiKR4L333sMrr7xyl6tNIDx5mpLcvd93CIHwNNKU+pJOp4PRaKQdRjweD25u\nbpBIJDAajaiqqoLFYqFXh1UqFXg8Hm2ky+VyOr/Ezc0NLi4udHy7w4FUUVHB8Mq7ubk16VB10DgX\n0OHM9fLyepDLQLgDD2S8f/fdd1i2bBkA3LOn/UFo6FW9mye9YQJUfX39fZ0nPz+fNvg+/vjjJpMa\nCQ+Hrl27Yu/evTh//jzkcjkto6hSqbBt2zb88ccf0Gg06NOnj1OpOcA+sXOmHJOTk4Pa2lrs2bMH\nlZWViI2NxeDBg/H7778DsBvJr776apMrOXw+H4cOHWJp4Or1emzZssWptvypU6ec6rgXFxezikg5\n6NChA77//nukpKRAIpFg2LBhCA4OBgCsW7cOGRkZqKurQ8+ePel7f+LEiUhOTkZBQQFCQkLu+oAl\nEFoKISEhuHLlCqNNIBAgICDgCY2IQGg5NBU6ZrPZGHHsVqsVlZWV8PX1RUVFBb2iS1EU1Go1BAIB\nZDIZKyGcoihUVVXRq7oCgQAeHh7Q6/WscJqamhpIpdI7jqmpBFjCo6PZxvulS5ewbNkyhtHu7+8P\nNze3RxYb7rgZeDzeXUMDGo7hfm4im82GGTNmwGg0okePHhg7dmzzBku4L8RiMXr16sVqd3Fxwcsv\nv0x/VqlUEIlErJCRvn37IiMjg2XAh4SEYPTo0fQS5MaNGzF58mRs27YN27Ztw+7du7Fq1SpIJBKE\nhoYiPz+fPtZxjzXlJRSLxU6z/L29veHq6oqSkhJGu5eXF+Li4rBr1y5GO5fLpWUwHTKQDXEkwjpD\noVA41ZEnEFoCZrMZFRUVkMlkDBlTX19fxMTE4MKFCzAajVAoFIiLiyPL7IRnAq1Wi7q6Otrr3Ti8\nUywWs8JJuVyuUycpRVGor6+nDfeG6HQ6SKVS6PV62Gw2Oj+srq6OEY5pNptRVVXlNESGoih6dbfh\n/mq1mh6/s/fgvYSrEppPs433zZs3g6IocDgcxMfHY+7cuXcNZXlQHDfWvUgXNbzJ70fqaP369Th/\n/jxEIhHmzZtHZJJaGCqVCvPmzcP8+fNRW1sLgUCA8ePHIyEhARwOB59++im99K5QKODu7s6o6AjY\nPdlxcXHYunUr/cDT6/XIz8/HBx98gMzMTBw9ehQWi4X22jeeMAiFQrz00kvQaDTYsmULo33ChAng\n8/m4cOECvVzJ4/Hw3nvvoW/fvhg+fDh27NgBwP6Ae//99x/5b4dAeNzcunULx44do50noaGhSEhI\noD14kZGRaN++PW0YaLVa/Pnnn6iqqoKbmxu6du1KlC8ITx2O8BYHBoMB5eXl8PPzo0NiHLlQIpEI\nNpsNAoEASqWSlf/koKm4dA6Hg5KSEoZh7fCwN8ZkMjUZ0dDQWWo2m1FaWkrbWEajkeVM5XA4Tcot\nEx4OzTbeT58+DcDuZfzuu+8ei8dEKpUCsHtCHfJJTdHY0LoXCgoK8PXXXwMApk6dirCwsAcYLeFR\nkZiYiLi4ONy4cQM+Pj70Q+L555/H9u3bcejQIQiFQgwYMAAzZsxgHW82m/HHH3849VTU1tbi9OnT\njIfd1atXMWTIEOTm5uLatWsICwvDP/7xD/j5+eGjjz5Chw4dcPToUahUKowaNYqWhNy2bRv2798P\nvV6Pfv360ffTzJkzMX78eBQUFCAyMhLu7u6P4jIRCE8Ms9nMMNwBeziij48PIiIiYLPZoNVqIZVK\nIZVKYTabsXfvXjo8raqqCkVFRRgxYgQpEkN4qnA4dBpitVqh0+lQXV1NG8UWiwUWiwV+fn60cSyT\nyaBWqxnOST6fDxcXF+j1etaKtDNN9+rq6ia94o5+Gr4bZTIZY3+NRsNaAbBYLPDw8KDj7YnazKOn\n2cZ7RUUFOBwOBg4c+NiWOhvOCvV6/R1jfBvOLO9lBkhRFGbOnAm9Xo/IyEhMmjTpwQZLeKQIhUJ0\n6NCB1e7r64vx48fTnzt16oT09HTGPlKp1GmhJMBudDh7uJaXl2Pz5s2wWCzg8/moq6vD6tWrkZ+f\nj6ioKMybN49lZHh4eDDG0pDg4GA6pp3QslGr1dDpdIwVFsKdcUi2NiY9PR3nzp1jbHO8Pxrvr9fr\nsXXrVrL83ky0Wu1jyUUjPByMRqPT/5dWq4VIJGKEqTjU0YRCIQQCAWpqaujKqUajETweDwqFwmlR\nSYeUZGNDXyQSQaPRQC6Xg6Io2Gw2iEQimM1mFBcXg8PhQC6Xs1SiGqJQKB78QhDuiWYb73K5HDU1\nNXBzc3uY47kjDRNHS0pKmix649gO2JdvPD0979r3li1baCNvwoQJThMjG8ZT3759m064CgoKIsVF\nWijjx4/Hn3/+SRf34nK5+PDDDzFo0CCsXbuW8T/18PBAcnIyNm/ezHpAOeTr+Hw+NBoNXnvtNRQW\nFgIA9u3bh0OHDmHFihUkzIpAwJ1DFRsb6Y4QAQLhWcChv94QHo/X5CTVarWivLyc/myxWCAQCODj\n44OqqiqGwhqfz4ePjw8dmiYQCFgKThwOBzKZDHw+n46Vd8S1Owx6Ho8HHx8f1NXVMZxZtbW1dARE\n4z5bah2cp5VmPzFDQkJQU1NDGzCPg4bGekFBwR2N94KCAgD2JNp7uakuXrxI/z19+vS77v/tt9/S\nkn/r16/Hc889d9djCI8fhUKB9evX48SJE7TajCO+/IcffsDatWuRnZ2Ntm3b4vXXX4efnx/GjBmD\njRs30n0olUpMmDCB/rxnzx7WfX/27FmcOXPmjsXDCK0ThUIBDoeD0aNHP+mhtCoOHz7MSAAXCATo\n0KGD0wJs7du3R3Z2NsvzmJSUBFdX10c+1qeRLVu2kJyBFohYLIa7uzsrYZXL5TJqhgB2o9hZeKdj\nhbhxDLzFYoFGo6HDX7hcLquGiEgkQmVlJXg8Hh2VUFpayujHarWivr6eNckA7CsEcrmcNuq5XC7c\n3NxIcbXHTLON90GDBuH8+fNISUnB9OnTH4vn2SEhCNiNpX79+jndT6PR4OrVqwCA6OjoRz4uQsuG\nz+fj+eefpz/fvHkTS5cuRWZmJoKDg/HOO++gZ8+eMBgM+Prrr3HgwAF4eHigrq4OQqEQmzZtYhQU\nciZJCQBFRUXEeCcQ/o+EhAT4+PiguLgYMpkMkZGRTqVVAXusbXx8PNLT02E0GiEUChEdHU0Md8JT\niUwmc2ozeXl50QmrAoEAKpXKaRgncOdaCeXl5YywGIFAALFYDKPRyJCC1Ol0DBWoxv00FXbl5uYG\npVIJi8UCoVBIVpyfAM023kePHo2ff/4Z169fx4wZM7BkyZJHvvQZEBCATp064fLly9i7dy8++OAD\np/H2O3bsoMMe+vfvf099L1iwAAsWLLjjPvv378f7778PAPjqq68wYsSI+/wGhCeNwWDA22+/TVeD\ny8zMxPvvv49NmzZh3bp12L17N2N/R9np27dvY+fOnVCr1U5DxTgcDpkoEggN4HK5iIiIQEREBN0m\nkUhw7tw5Rk6SSCRCUFAQ5HI5QkND6bhbEkpDeNYQiUSsytM2m81plW2ZTNZkDZvG8exmsxkKhYK1\nP0VRTUppOwo3NT63I2yGx+ORpNQnSLOfjkKhECtXrsTkyZNx4MABDB06FCNHjkRUVBTc3d1ZRQGa\n4n4LII0fPx6fffYZysrKsGDBAla1zOvXr9OFo4KDg9GnT5/76p/wdPPnn38yyjgD9pjb3377Dfv2\n7WPtr9frce3aNUyePJmxhBgREUHnPPB4PLz99tsICgp6tIMnEFo5QqEQQ4YMwYULF1BRUQGLxQKd\nTodt27YhLCwMvXr1IhJzBEIDpFIplEolrTLD5/Ph7u4OoVAIpVLJKF7pMLid0digd2Cz2aBSqRix\n82KxGHK5nF4dcBjwcrmc/D5bCM023gcPHgzgfxnS+fn5WLJkyX31weFw6LLv90pycjK2bduGs2fP\n4qeffkJhYSHGjBkDlUqFCxcuYOXKlVCr1eByufjnP//J8t589tlntMY28Z4/e9xpqdFZFj1FUVi9\nejUr9u/WrVtYv349SkpK0LFjR/j4+DyS8RIITxsKhQIJCQmMmHibzYa8vDwIhULExMQ84RESCC0H\ni8UCHo8Hd3d3CAQCRmKrUqmklWP4fD7EYjG0Wq3TUBupVAqdTseKoZdIJHBxcYFUKoXBYKD7Aew2\nmoeHB2w2GzgcDgmPaUE023i/ceMG6x/5OGSpOBwOli1bhsmTJ+Py5ctIS0tDWloaYx+BQIDZs2cj\nLi7ukY+H0LqIj4+Hi4sLY/mQy+Vi6NChuH37No4dO8bYXywW49atW6x+HJXrmsq7aA6//vor1q1b\nh6qqKsTFxeGTTz65J6UkAqGlo9FocOXKFWg0Gvj7+yMsLAw3b95k7Zefn0+MdwLh/9BoNKiurqY/\nCwQCeHl5McJVGhv0UqkUGo2GFfOu1WpppRuHAS+VSunkU7VaTVdhFQgE4PF4jKJRQqGQrnBOePI0\n23jv2bPnwxzHfeHq6oqff/4ZW7duxZ49e5CXlwedTgdPT0/ExMTg9ddfR3h4+BMbH+HxQFEUKIq6\nryx3uVyOpUuXYuHChcjJyYGfnx/eeecddOjQAf/85z8xf/58pKWlgcvlwmazwWq1ok2bNrTUpANP\nT08EBAQ8tO9y+PBhfPXVV/Tn1NRUlJaWYv369Q/tHATCk0Cj0WDXrl10olx+fj6Ki4vB4/FYK2Ek\nhpZAsGOz2Vg67WazGfX19XcMXeFwOPDy8qKLNmm1WpjNZloyUiwWQ6lUgsfjgc/n08WhHGi1Wlit\nVri7u6O8vJxRSdVRCZb8Tp88zTbeN2zY8DDHcd/w+XyMHTsWY8eOva/j7iUxtSkGDRqEnJycZh1L\neHhYLBYsW7YMO3bsgMlkQv/+/TFt2jTI5XJYLBYcO3YMxcXFiI6OdlrIKSoqCj/99BMMBgNEIhG9\ngqRSqbBo0SLMmTOHTly1Wq04fPgwAgICUFRUBMCeVDRjxoxmJ9RduXIFq1atwo0bNxAVFYW33noL\nu3btYu2XnZ2NvLw8tG3btlnnIRBaAtnZ2QyFC8BuwLdr145VT6NhciuB8CzTlNqLQzGmrq4OZrMZ\nIpEIKpWK4X13VDk1m82sMBmDwQClUkm/v5yF2BgMBtTX17POT1EUdDodkSBtAZB0fkKr48cff2To\nsP/++++wWCz4f//v/+Gtt95CVlYWvW3SpEl45513nPbjTP+/rKwMe/fuZbQZDAZ07doV06ZNg1qt\nRmxsbJPyWo2pr69HcXExQkJCIBaLUVpair///e90AlBxcTEuXLjQZMVXAqG105QiRlBQECiKQlFR\nEQQCASIjIxEZGfmYR0cgtEyacg7xeDxG0Sa9Xg+TyQQ/Pz9wOBxYLBa6kFNTOV4Wi4UOf2kq3Pl+\n2wmPF2K8E1odv//+O6vt0KFD6NChA8NwB4C1a9di2LBhAICff/4ZpaWleO655zBs2DD64ajVanHt\n2jUEBQWhoqLCaVGM8vJydO/eHWfPnkV+fj66dOlCe+wrKyuxZ88e1NfXIzExEZ06dQIArF69Gj/+\n+COMRiMUCgU++eQTFBcXs6S3SktL0a9fPxw/fpzRHhERQbzuhFaPr68vK2+Ez+cjKyuLLg5jMBhg\nMBhIQhyB8H/weDwoFAqo1Wq6zVF0qTFWqxV6vR4Gg4H2pDu8786wWq30b8/ZJEEoFMLFxQUajYZV\nNKqpPgmPlydivNtsNly5cgW7d+/GZ5999iSGQGjFOIu343K5dGGuhthsNpw4cQIrV66kJbVSU1Nx\n5swZLFiwADt37sSSJUug0+noUKzGslmA3UuYlJREt7dv3x7ffvst6urqMHnyZLrvdevW4eOPP0a7\ndu2wfPly+ni1Wo3Zs2cjOTnZ6Xdq06YNpk2bRiesxsfH45NPPmneBSIQWhDt27fH7du36arXPB4P\nYWFhrDySixcvom3btve8qkUgPO2oVCqIxWLo9XrweDzIZDKGNGRDjEYjIwSGoihotVqIxWJG2JpE\nImG830wmE0QiER1iIxaL4ebmBj6fD09PT9TU1MBsNkMgEMDV1ZXUX2ghPPB/4erVq9i6dSuysrLo\nxIjGUBQFm80Gi8UCvV4PjUZDezeJ8U64X1566SVay9/BoEGDEBoaigMHDjDaORwOsrKyWA+8lJQU\nnDlzBl9++SUtEWmxWLB+/Xq888472LBhA73c76j82PCBl5OTg5UrV0Kn07H6XrlyJYYOHcoat9Vq\nhUKhcFquunfv3nB1dcWoUaOacUUIhJYLj8fDCy+8gKqqKmi1Wnh7e+PMmTNO962oqCDGO4HQALFY\nzAjxlMlkrDh1h8CCM6RSKVQqFR0f76zKsdlspsNuGnr2xWIxfH19QVEUWRVrYTyQ8b5t2zbMnj2b\npY/tMEwa/rOdxUmRm4HQHCZOnAir1Yrt27fDaDRi0KBBmDp1KiwWC/bu3Yvr16/T+44aNYpVlMlB\nWlqaU2332tpa7Nu3D4MHDwafz8eMGTPougYNOXv2rNO4eY1G06R3olOnTpg5cyaWL1+O6upq+Pv7\n47PPPiNl4AlPPe7u7nB3dweAJu938jsgEO6MSCSCm5sb6urqYLVaIRAI4ObmxkoKb4ijorFQKHRq\ni91Nx53Yai2PZhvvxcXFmD17ttOECIdnsfFN4rgBeDweunfvjvj4+OaenvAMw+Vy8cYbb+CNN95g\nbVu3bh1SUlJQVFSE6OhoREdHY9u2bUhNTWXsJ5FIEBUVhc2bN7P64HA4mDRpEh1r+NNPP9H6uA3x\n8/ODn5/WHzE9AAAgAElEQVQfa/nf3d0do0ePxp49exhSX2FhYYiLiwOfz6dDcNzc3O5L6pJAeBoI\nDw9Hbm4u4/fRpk0b2rgnPHuo1WpYrVYUFhY+6aG0Chz2lcViYUg6NqahDGRTITcAaDU1wv1htVoZ\neQmPi2Yb71u2bIHFYgGHw0GbNm3w7rvvon379sjLy8PUqVPB5/Oxbds2CAQCVFdX49SpU9iwYQP9\nA50wYQL69+//ML8LgQCxWIykpCRGW3JyMs6ePYuUlBQAdsN91qxZ6Nu3L9q3b8+Q//Tw8EBqaipK\nSkrotp9++gmJiYk4fPgw3SYQCDBp0iQEBAQgPT2dfvDx+Xx88skn8Pb2xpo1a7B27VpaEvLVV1+l\nPfJ8Ph8eHh6P7DoQCC0NnU4HHo8HkUgEgUCApKQkXL9+HWq1Gt7e3ggKCgJgNzZKSkrg4uKCgIAA\nMrkltBqaclg+Chr33Tgcs7k8yiiJx3l9nnaabbyfPn0agN1Y+vHHH+Ht7Q3AntgnlUqh1+tx8+ZN\nDBo0CG3atEHPnj3xyiuvYMKECSgsLMQ///lPxMTEEL1QwiOHz+djwYIFuHHjBkpLSxEVFQW5XA4A\nWLFiBTZt2oTMzEyEhoYiJiYGH3zwAasPg8GA//znP0hJSYFUKsWIESPQrl07AMDWrVuRlpYGtVqN\n3r1701VRAwIC8Pnnnz++L0ogtEA0Gg2OHj2KsrIy2tkTFxcHgUDAqsNw4cIFXLhwgf7s5eWFQYMG\nkSS5ZwCFQgGDwYDAwMAnPZRm0bgaKmBPOHVxcQFFUTAYDKAoCmKx+IEnpGazmaHzrlAonP5GHEni\njQkKCoLVagVFUYzjbDYbbt++zYqf9/HxYejINweTyYSysjKGAa9UKqFQKB6o3ydNYWHhE/kODxQ2\nw+FwkJCQQBvugD2koWPHjjh79izOnj2LQYMG0dt8fHywZMkSjBo1CjU1Ndi6davT0AcC4WFjMBhQ\nXFwMkUgEiURCtysUCrz11lv056YedjKZDL1790bv3r1Z206fPo1ff/0VtbW1KC8vx2uvveY0Fp5A\neBZJS0ujk+QoikJeXh5kMhl69OjB2E+j0SAjI4PRVl5ejpycHHTs2PGxjZdAaA7OQifq6uogkUhQ\nXl5OhxhzOBx4enpCLBbDarXSQh8ikQgymeyu3mir1YqysjLawDabzTAYDPD19WUdKxQKYTKZGG0O\nfXcejweKoqDX62G1WiGRSGAwGJwmvmq12jtWdW2MoxKso1+HSk5jz3tdXR3kcjlZXWsGzTbeHbFT\nznSo27VrhzNnziA7O5u1LSoqCl27dsXFixdx8uRJYrwTHjnZ2dn4xz/+QXtFgoKCsHz5cvj4+LD2\nDQoKQkxMDE6dOkW3cblcvPzyy/jzzz+xc+dOUBSFIUOGIDExESdOnMCHH35IP5SuXbuGmzdvNruK\nL4HwNGEwGGg96YbcvHkT3bp1Q1FRER02o9VqnS7ZV1ZWPo6hEggPhDPxA5vNhtraWkZuIEVRqK6u\nhpeXF8rKyujjtFot9Ho9PD09YbPZoNFoYDQaIRAI4OLiQkska7ValoHtUPKTSCQwGo20h9/V1ZUR\nD8/hcGgj3GazoaysjKEQ6FiRvhcoioJaraaVb+RyORQKBcxmM8PDrtfrYTQa76hESIz3+6fZxrtY\nLIZWq6VncQ0JCQkBAIbqR0O6dOmCjIwM5OXlNff0BMI9M3/+fMZyZkFBAb799lvMnz8fgN3AEIlE\ntNdi4cKFWLVqFbZs2QIul4vFixejpKQEc+bMofs4cuQIpk2bhuPHj7MMjkOHDqGyspLEtBOeeXg8\nnlMZO4FAgP379zMMe0cYWmOIAg2hNSCRSFgF+MRiMcvzDdiNbY1GwzL4HYZuTU0NfZxer4dWq4Wv\nr+8dJSHNZjNjosDj8eDp6Ql/f396IsDlculzqtVqlkGt0WicnsNsNqOoqAhcLhcKhQJyuRx1dXWM\n1QaHZ90RjtMQrVYLqVTKEjjh8XhO67YQ7k6zpzuO2VvjGC8ACA4OBmC/OZx5TRwP48aFcAiEh41G\no2EkpDo4e/Ysrly5gokTJyI+Ph6DBw/Gb7/9BsAeIvPBBx/Aw8MDbm5uiIuLw5o1a1h9rFmzxmnp\nd4qiWDq8BMKziEAgcGqUu7q6sjzy165dQ1hYGKNNpVKhffv2j3SMBMLDwNXVFUKhkP7skHB0FovO\n4XCcKvUB9sTuxga/I7wGACPssyFGo5HRp9VqRXV1NWw2G+rr6+lJQGVlJaqrq2E0Gp32o1KpaKes\nQCCAQCCAXq+na/VUV1dDp9M5fcdpNJomv5dUKmVcCw6HAzc3N5K02kya7XmPiIhAUVERTpw4wdrW\nMOHk0qVLSExMZGx3PLSdLTMRCA8TiUQCd3d3VFVVMdr9/f3x/vvv05PPiooKzJs3D0FBQYiKisKO\nHTtQU1MDLpeLa9euOZ2EVlVVYdy4ccjMzGS0h4aGIi0tDYsXL4avry/GjRtHr0YRCM8asbGxkMlk\nyM/Ph0AgQEREBEPNqSEBAQFo164drTYTFhb2wIlyBMLjgMfjwcfHhza8HYa8UqmkQ1kcKJVKcLlc\nlqceQJMhJA5vvU6ng0AggMViAUVR4HK5cHNzY73jAHuSqEPhryEajQZSqdTpeRxFoXg8HqxWK27f\nvs3aR6PROA1xc4TrNJ4YcLlcSCQSRly9RCIh4TIPQLOvXGxsLAAgNzcXq1atYmwLCQmhE/Z27drF\n2KbX62nJPqLpS3jU8Hg8vPnmm4w2Pp+P2NhYp6tG+/btwxdffIGFCxfCZDLBYDDgtddeQ+fOnVn7\nxsTEYPTo0Rg5ciTtUQgPD4dSqcQ333zz/9m777imrv9/4K+EQGRvQbEqdeCg7omjrUrFhVKtVSqu\nutqqrdZRlbo6XLV+rGjdUlQQbUEr7moV96RaV7GugBOQPUII+f3Bj/slJihiIFz6ej4efTySc09u\n3teS5J2T9zkHZ86cQWRkJIYNG1bsRFiiyk4qlaJZs2bw8/ND7969UadOHTg4OOjt6+DgADc3N7Rq\n1QoeHh5M3El0zMzMtEbg5XI5XF1dYW1tDSsrK1StWhU2NjawtLTUGUW3s7MrNqkuHPXOycmBSqWC\nRqOBvb093NzcdEa1C5mYmBQ7Eq5v1ZsqVarg8ePHePjwIR4+fFjsxk8ajQaWlpY67ZaWlrC2ttZa\nsEEikcDR0VHYBKpwAisT99dT6pH3fv36YcWKFUhJScGyZctw+PBhjBs3Du+++y6kUineeecd7N+/\nH/v370fVqlXRv39/JCcnY8WKFUhMTIREIkHTpk0NeS1Eeg0YMAC1atXCgQMHIJfL4evrqzdxBwre\nIPfu3avVplQqYW1tjQYNGuDmzZsACjaU+eqrryCTyTBjxgyMHz8emZmZSEtLg7+/v9bjMzMzsWPH\nDnz55Zdlc4FEIlOvXj3cunVLa7Swfv36xSb1RGJmamqqM3ejcNWZwnIXuVwuJOB2dnZaZcVWVlY6\nmwQCBZ8thUtRWltb63yu2draIj8/XycJL0yi5XI5srKyoFarIZPJtJ5TrVYjOTkZpqamOrXxlpaW\nsLCwgEajEeKytLSEnZ0dpFIpqlatitzcXKjVasjlcibqZaDUybuFhQXmzZuHL774Avn5+bhy5QrO\nnj0rlMiMHTsWBw8ehEajQUhICEJCQnTOMWjQoNJHTvQKmjdvjgcPHuD06dPYs2cP+vfvjxo1amjt\nKmdiYoJWrVph9+7dOo9PS0vDli1b8M8//yA/Px8NGjQQavXu3buH8+fPo3r16sVuksEVM4j+j6mp\nKXr16oXY2FgkJSWhVq1aol3fm+h1yOVynYU/Ckfmc3NzYWpqColEorfGXK1WIyMjAykpKcKqLWZm\nZjAxMYGlpSXkcjlycnIgk8m0RuCtrKzw9OlTqFQqmJiYwN7eXm8NfOEIe05ODnJyciCVSoVfEICC\n6onCL9z6lqmksvNaO1+89957+PnnnzF//nw8ePAANWrUEI41bNgQX331FRYsWKA3oRkxYoRQekNU\n1ubNm4d9+/YJ93fv3o0lS5Zgx44duHjxIt544w2MHj0arVu3xvLly3VGMNq3b4/ExEQkJSWhbt26\nwhtVcHAwgoKChH6enp6wsLDQqWX08vIqw6sjEp+//voLV69eRX5+PhQKBby8vODu7m7ssIgqBBMT\nE62yGn1rtpuZmWl9VuXn50OpVKJ69eqQSCR4+vSpVlJuYWEBa2trreUj1Wo1EhMT9ZbBAAVlplWr\nVtVabrIoTjg1jtfetu7tt9/GoUOHcP78ea3NmgBg6NChqFevHtavX48rV65ApVLBw8MDAQEBOlvY\nE5WVuLg4rcQdANLT0/Hnn39i0aJFOv2/++47zJw5E8nJyQCALl26ICsrC7169YJarYaJiQlGjhwJ\nPz8//Pzzz1qPvXr1Kvr27Ys///wTaWlpkEql6NOnD3r16lV2F0gkMgqFQmuit1KpRHR0NFxdXYtd\nTYPov8zR0REJCQnCCLpcLte7zGLhxkuFiXxRWVlZMDMz0zugWliTXvSYTCYTXo9M0isWg+w5LZVK\n0bZtW73H2rdvzxF2MqriVrZ49OgRHj58iFOnTsHe3h6dO3eGqakpWrdujT179qBXr16QSqUYMWIE\nAgIChMep1WqsW7cO5ubmeldMys7Oxt69e3Hz5k24urrq3QyK6L8sLi5Op61wZYs6deoYISKiis3U\n1BTVqlWDSqWCRCKBqampsFnm86RSabGTTYtb5c/ExARVq1YV1n+Xy+WwtbVl0l5BGSR5J6rIPD09\nYWlpqTPhx9LSEn5+fsKbWa1atbBu3To4ODhorRhw9uxZved9+vSpzkgFALz55puoUqUKmjVrVgZX\nQyR+xY2uc9SdqHgSiUSrltzS0hJpaWlan0GF5Tb6NocCCkpnnt+lVSKRwNLSEjKZDM7OzmV3AWQw\nBp8C/O+//yI6OhpRUVFaO6wWnRhIVJ4sLCwwe/ZsrSW4OnXqhOjoaK1RiPv37yM4OBj5+fn4/fff\nkZKSgrS0tGJ3gGvQoAH69++v1VazZk0MGDCgbC6EqJKoX7++zoQ2JycnVKtWDUDBqk8JCQnIzs42\nRnhEoiCTyeDi4iKsmS6VSmFqaorc3FxYW1vrfHYVTmJ1cXERloqUy+VwdnbWu9QkVVwG+b8VHx+P\njRs3Ys+ePVrb5U6bNk34CfTjjz8GAHz22Wfw9fU1xNMSlVjXrl3h6emJ6OhoeHp6QiKRYMiQITr9\nrl69igULFiAyMlJoW7t2rc7KNO7u7ujWrRt69+6NTp064cKFC6hevTp69uxZ7MQfIipgZWUFHx8f\nnD59GhkZGXB2dkaHDh0gkUhw7949nDx5EkqlEhKJBI0bN0abNm2MHTJRhWRmZgaJRCKMpBeuDOPi\n4gIXFxckJSUhNzcXEokEUqkUGo0GpqamqFq1qpEjp9fx2sl7VFQUZs+ejezsbK2fborWSWk0Gjx8\n+BB5eXmYPn06jh07hiVLlnDtTyo3wcHBWL9+PXJycmBnZ4fPP/8ccrlcZ0JP9erVsWvXLq227Oxs\nNG7cGL1798bNmzfh4eGBgQMHChtRdOjQAR06dCi3ayESu9zcXBw7dkyo2VUoFDAxMUH79u1x7Ngx\n4RcxjUaDq1evwsXFBbVq1TJmyEQVUl5ent6dWtPT0yGTyYTPOI1Gg/T0dEgkEtjZ2QEoWJ0mJSUF\nmZmZkEgksLKyYp27SLxW9nzw4EFMnTpVSNyrVKmCFi1a6PRLT0+HpaUlNBoNNBoN9u7di2+//fZ1\nnpqoxC5cuICgoCBhAk9KSgq+//57nZF3R0dHdO3aVasWsNCzZ88watQofP311+jUqZPOury3bt3C\nli1b8Mcff+hsaEFE2mJjY3Um2929exf//POP3gl1+ia4ElU2KpUKWVlZxe6Kqo++zyvg/9aAf17R\ntuTkZGRkZECj0SA/Px9paWla1RMvk5OTg7S0tGInx1LZKfXIe2pqKgIDA4WfYMaPH48RI0bAzMwM\nDRo00OprY2OD6OhobNiwAStXrkReXh62bduG/v37o3Hjxq99EUQvcuzYMZ02lUoFNzc3rF+/Hnv3\n7kW1atXg5+cHCwsLnd3tAKBt27ZYu3YtgoODkZubCxsbG0ybNg0+Pj7YtGkTVq5cKfStX78+1q5d\nK2xkQfRf9++//+LWrVsACl4fz7++ChX3xZcTWamyS05ORnp6unDfxsZGGCF/EVNTU5iYmOh86S1u\n0mphhUTR3VGLysjIgK2trXA/KysLaWlpUKvVMDc3h52dHSQSCZKSkrRG/C0sLODo6MhR+3JS6pH3\nsLAwpKWlQSKR4JtvvsHYsWNfuKOWmZkZPvnkE2HEXaPRYPv27aV9eqISK+4N8OnTpwgMDERERAQ2\nbNiA8PBwmJmZYd68eVqJt5eXF+rWrYu1a9cKb4ZpaWmYO3cu/vnnH6xevVrrvLGxsQgPDy+7CyIS\nkWvXriE6OhqPHj3Co0ePcOzYsWJHFuvVq6dTi2tmZgYPD4/yCJXIKHJycrQSd6DgM0apVEKlUiEx\nMREPHjzQ2XQpPz8fOTk5sLGx0ZqcWrgZk775V68yJysnJweJiYnIzc0VRvITEhKgVCp1SnWysrI4\nAl+OSj3yfvToUQAFK27069evxI/r168fQkJCcP36dVy8eLG0T09UYr6+vggNDdX6mb527drYvHmz\nMPKQk5ODdevWoUGDBmjfvj38/f2xYcMGSKVSjBo1CocOHdI5b15eHvbs2aP3Z/4bN26U3QVRucvM\nzMS2bduMHYYo6Vsx5s6dO5BKpVo/+ZuammLfvn3QaDSQyWTIz88XJtlFRUWVZ8iVQmZmJqytrY0d\nBpXA83OvCmVnZyMzM1P4jFGr1VAqlahWrRry8vKQmJgovIZMTU3h6OgImUwmrBxja2sLjUYjJNoW\nFhawsLBAUlISAOid91U0uX/+C0VhrMWtApWbm8tfycpJqZP3+/fvQyKRlGrb9zZt2uD69et4+PBh\naZ+eqMScnZ2xYcMGbNq0CXfv3kXTpk3RoEEDzJkzR6fvn3/+ib179+Lw4cMACt4sx4wZg759++o9\nd/369fX+ZFmvXj3DXwgZxfM7R9Or0TeZDigoCygsnzE1NYWNjQ2XqzMga2tr/u2KRHF/9/n5+Tqf\nLYXlLhkZGVpfflUqFbKzs2Fvb4+8vDwkJycjOzsbUqkUNjY2sLGxQXZ2Np4+fap1PjMzM2HjJysr\nK5ibmyMzMxNyuVzvTqwAil0+2dTU9FUum15Dqd8pCyc9FK2NKqnCx7zKpAyi11G7dm3MmzdPuP/X\nX3/p7SeVSoXEvVBeXh6ePXumUwtft25d9OjRA/fv38emTZuE9po1a+LDDz808BWQsWzcuNHYIYja\n9OnTdV5T7du3x/nz54X7KpUKMpkMkZGRLyy/JKqMLCwshJ1NC5mamhabDOfl5en9xbewbKWw1AUo\n+AKQmpoKExMTvSPparUaNWrUAFCwMMOTJ0+EY4UrqhUlk8lgZWUlLElZSC6Xc9S9HJU6ebe3t0dC\nQoLW/+iSunPnDoDia5GJylrTpk3RqFEjXL9+XWiTy+Vo3749fv/9d53+mZmZ2LRpE0JCQnDnzh00\nbdoUQ4cOhYmJCT777DN06NABZ8+ehYuLC7p37843MaL/b9q0aUhKShK+MDdv3hzVq1fXGbx58uQJ\nTp8+jbffftsYYVIFoFar/7MrCz0/yq1SqZCcnKy3r76JpoWPUSgUeo8lJSXpnUz6on9zfTXseXl5\nePDggU68SqXyP7kZp74vUeWh1Ml7/fr18fTpUxw9ehSzZs0q8ZrtiYmJOHz4MCQSCSchkdFIJBKs\nWLECGzZswIULF+Dm5obhw4fDw8MDVatW1flpsXPnznjjjTcwa9Ysvedr1qwZmjVrVh6hE4mKo6Mj\n1q9fL3yw16hRAz/88IPevvw19r+LJT76KZVKpKenQ61WQyqVCqUtGRkZOkm8g4ODsBLM8yQSid4a\nd1NTUzg4OCA9PV1viZu1tTXMzc2h0Wi4N08xjPG3W+rkvWvXrjhx4gQePnyIn3/+GZ999tlLH6NU\nKjF58mRkZWVBIpHgnXfeKe3TE702W1tbTJ48Wad94cKFmDlzJh4/fgwA6NOnDwYMGFDe4RFVKoU/\nzQOAj48PwsPDtUbv7OzsuNnZfxjL04qn0WiQnJysMy/k8OHD2LBhA+Lj4yGTyeDt7Y0JEyZg4sSJ\nuHTpktY5rK2tERoaiokTJ+Lu3bsACuadeHp6olatWrCxscGaNWt0nnvBggVo165d2V4gvbJSf43q\n378/qlevDgAICgrCt99+qzNaWSgvLw+HDh3C+++/j/Pnz0MikcDJyYkJEVVITZo0wa5du+Dg4AAn\nJyfMmTOHE+mIDMjT0xPffPONMJLn6emJFStW6K2xJfqvk0gkcHBw0PkcevLkCWJjY4W12MPDw7Fg\nwQIsXrwYPXr0gKWlpbD2enp6OsaOHYtx48ZhzZo1ePvtt5GWloZTp04hLCwMISEhWl+wAaBly5Zo\n27ZteV4qlZBEU9x04hK4cuUKhg0bplUX5eDgINRW1atXD5aWlrh586bQp3AZsLVr15ZqpRqxio+P\nR9euXXH48GGdFwhVTL169QIA7Nmzx8iREFVOvXr1EnbdJqJXM3DgQGEOYSGZTIY///wT5ubmePz4\nMfz8/LQmwspkMqxfvx4ff/yxTr32e++9h0aNGuH27dvw9PRE7969dXYTp/LxspzxtYYTmzRpgvXr\n1+PLL78USgyePXsmTIoo3FGv6PcDGxsbLFiw4D+VuFPllZKSgp9//hlnz56Fq6srRowYwZEKohLI\nz8+HUqlEXl4erl+/jkaNGhk7JCJR0TdHJD8/X1hC8siRIzq7Fr9of5LExEQMGTJEp/3GjRtYu3Yt\n7ty5gyZNmmDcuHFwc3Mz0FVQabz27IOWLVti9+7dmDRpEmrWrAmNRqPzH1AwaWnEiBHYvXs3unbt\n+tqBE1UEn3/+OX777TfEx8fjwoULmDhxotYKNkSkS6lUYty4cUhJSUFGRgaGDh2K5cuXGzssogpJ\nrVbrXXO9Z8+eOm0tW7bEjh07EBUVVewEUzc3N9jb2+u0t27dWqft8ePHGDt2LI4fP44HDx5g3759\nGDt2bLEbS1H5MEghr7W1NcaOHYuxY8fi6dOnuH37NlJTU6FWq2FjY4M33ngDtWvXNsRTERlcTk4O\nsrKy4ODg8MJ+ubm5OHnyJJRKJTp27Ih79+7h2rVrWn3UajUiIiI4ikj0Anv37tWZULd582b07duX\nnxVE/19qaioWLlyII0eOwNzcHB988AE++eQTISkfPnw4MjMzERERgZycHNSpUwfnz58X9lCoXr06\nbGxskJaWJpzT2toaPXv2RO3atTFr1ixhxZpWrVrpHXWPiorSWYXm8ePHOH78OLp161ZWl04vYfBZ\neFWrVkXVqlUNfVoig9NoNFi1ahW2bduG7OxsNGrUCHPnzsWbb76p0zc+Ph7jxo0TysMsLS0xduxY\nvectbg1eIipQ3K9T169fZ/JO9P/NnTsXx48fB1CwMeamTZtgbW2NoUOHIi8vD9euXYOvry8mTJiA\nlJQU9OnTR+vxDx8+RO/evXHw4EHk5eWhXbt2+PTTT+Hg4ICOHTsiLCwMV65cQc2aNYUBp9jYWISF\nhSEhIQFeXl7ChpzPK27nZCofBkve4+Li8OzZM2FXr5LS9zMNUXmIiorS2hn1+vXrmDJlCn777Ted\nzSxWrFghJO5AQYIeGRkJJycnJCYmavX19vYu28CJRK5OnTp62+vVq1fOkRBVTGlpaThx4oRO+549\ne9CqVStMnTpV2CSzbdu2CAgI0FvK8vTpU6FE5qeffhLOPWfOHOH8nTt3xty5c/Ho0SOMGDFCOM+Z\nM2fQpk0bSCQSrbIduVyOTp06GfaC6ZW8VvKelZWFFStWICIiQutnmZKSSCSsDyajOXTokE6bQqHA\nzZs3YW5ujszMTEilUiiVSly+fFmn7927d7F69WosWbIEt2/fhqWlJYYOHYouXbqUR/hEouXr64vd\nu3fjn3/+0Wpj8k5UQCqVQiqV6kwslUql+Prrr7V2tz979izc3d31bsJUu3Zt3Lx5E0BBGY6trS1+\n+OEHYUQfAI4dO4alS5dCIpHoPP78+fP49NNPERoaiuTkZLi5uWH69Ol6a+ap/JQ6ec/OzsaQIUNw\n48YNvRMpiCo6c3Nzve1Hjx7Fxo0bhb/rwYMHw83NTWeE3dnZGS1atEB4eDgSExNhbW3NZbWISsDC\nwgIbN25Ejx49oFarsXDhQm4EQ1SElZUVunTpojPI9O6772Lt2rU6/S9evIhPPvkE//vf/4Q2Z2dn\nrZr1vn37IigoCIcPH9Z5/OHDh/XuEq7RaNCiRQsEBAQgJSUFDg4O3Gm1Aih18h4cHIzr168L5QXu\n7u6oW7cuLCws+D+WRGHAgAE4cuSI1pfPli1bYuvWrVptCoUCDRs2xM2bN4VRCYlEgk8//VT4W3dy\ncirf4IlE5NmzZ1AqlahWrZrQJpfLhS/Q7du3N1ZoRBXW119/DRsbG/zxxx+wsLDAwIED4efnh+Dg\nYJ0SZWdnZwwZMgStW7fGyZMn4eTkhIiICFy9elXok5GRgR9//BGWlpY6I+yWlpbw8vLC6dOntdrt\n7e3RqFEjyGQyfs5VIKVO3vfv3w+gIIn5/vvv4efnZ7CgiMpD69atsXTpUoSEhCAxMREdO3ZEx44d\nMX78eJ2+SUlJCAsLQ1RUFHJycvDee+/B09PTCFETiUdOTg7mzZuHw4cPIz8/H40bN8aCBQtQvXp1\nZGRkICsrC3l5eTh48CC6du0KExMTY4dMVGFYWFhgxowZmDFjBlJSUnDw4EFERkaiZ8+e2Llzp9DP\nxMQEXl5eyMrKgoeHBzw8PAAA3333nc45r127htGjR2P16tVa7QMHDsQHH3yAa9eu4cCBA9BoNLC2\ntl7CtVIAACAASURBVMbkyZNhampathdKr6zUO6w2b94cOTk56NKlC1auXGnouCod7rAqDqmpqejZ\ns6fOqMTgwYPx5ZdfGikqInFasWIFfvnlF6225s2bY9myZRg2bBju378vtHt7e2PBggXlHSJRhRcb\nG4tx48YJcwtNTEzQv39/PHr0CHFxcVAoFMjPz4elpSVmzJgBHx8fAIC/vz9iY2O1zuXh4YEtW7Yg\nPDwcu3fvhkQiQZ8+fTBw4EChkmLPnj1YsmQJMjIyIJFI4OPjgzlz5kAmM/gChVSMl+WMpa5vKRwh\n4egjVSa2trYYPXq0VpurqysCAgKMFBGReP355586bTExMQgLC9NK3IGCCeRcwIBI16pVq7QWBVGr\n1Th58iR8fX1x7949YUfVzMxMzJs3D0lJSQCAiRMnwszMTHicmZkZJkyYAIlEgkGDBmHr1q3YsmUL\nPvzwQyFxVyqV+PHHH4UlIjUaDfbt24fIyMjyulwqgVIn77Vq1QIApKenGywYoopg+PDhCA4OhqWl\nJaytrbFt2zbuXUBUCtbW1jptcrkcDx8+1Nv/3r17ZRwRkfgUrhZT1IMHD3Ds2DGddpVKJWzS1K5d\nO2zfvh2WlpawtLTE+vXrdSalHjhwAGPGjMGwYcMQFhaGv//+G6mpqTrnPXnypIGuhgyh1Ml7r169\noNFodCb8EYmFWq3G0aNHsWbNGhw/flwYvQAKflGysLCAubk5rKysjBglkXj5+/vrtPXr1w8tWrTQ\naZdIJGjSpEl5hEUkKg0aNNBpc3Nz05oAXlTRiaU1atSAubk5cnNzMXToUHTt2hVLliyBWq3G7t27\nMWvWLFy6dAnXrl3D0qVLhfmMz3N2djbMxZBBlLqAafDgwfj1119x9+5dLF68GNOnTzdkXERlSq1W\n4/PPP8eZM2eEtnfeeQdLlizBvXv3MHfuXCQkJEAikeDnn3/GJ598YsRoicSpe/fuMDExwa+//oqs\nrCx4e3vD398fGo0Ghw8fFjaJkUgkGDt2LOcDEenx2Wef4cqVK0LpjEwmw+TJk9GoUSPs2LEDKSkp\nQt9atWph3759OH/+PPz8/ODq6orU1FSoVCoABWUx4eHhcHV1xd69e3We6+DBg3j33Xe1St6qVKmC\nQYMGlfFV0qso9YRVoGCTmjFjxiA+Ph5NmzbFgAED0LBhQ9jY2JR41YDq1auX9ulFhRNWK5YjR45g\n2rRpOu1BQUFYvHgxFAqFVvucOXN0tp4motfj7e0NtVqNTZs2CaWYRKQrJSUFhw4dQk5ODrp27Srk\nTvHx8di6dSvu37+vs6GgjY0NFi1apHfwqVGjRkhKStLa7Ako+CL9xx9/YM+ePTh9+jScnZ3h7++P\nunXrlu0FkpaX5YyvNXW4Zs2a8PX1xcqVK3H58mW9u1C+CHdYJWN5fgZ+oRMnTugk7kDBZDom70Sl\nc+/ePSiVStSvX1+YGAcUjCBKJBK4uLgYMTqiis/Ozg4ffPCBTnuNGjUwffp0PHv2DD179tQ6lpaW\nht9//13v+czNzfHuu+9i27ZtWu1t2rSBra0t/P399Za9UcVQ6uQ9Ly8Pn376KY4fPy68GbP2ncSi\nYcOGetsL18d9XpUqVcoyHKJKKTU1FVOnTsWlS5cAFGzmt3TpUtSsWRNBQUFISEgAAPTs2RMzZ85E\nt27djBkukWg9fPgQeXl5Ou1PnjyBXC7XWf74gw8+gJeXF548eYKjR49Co9GgSZMmmD17dnmFTK+h\n1Mn79u3bER0dDYlEAo1GA7lcjmrVqsHJyUlrZIWoIurUqRM6deqE48ePC23e3t7o06cP9u3bh3Pn\nzgntEokEAwYMMEaYRKIWFBQkJO5AQanlN998g6FDhyI4OFhoT0tLw+zZs9GyZUvY29sbIVIicatb\nty5sbGy0lpQEgDfffBM3b96EqakpHB0d4eDgAH9/f+GL8pIlS5CYmIi8vDy4uroaI3QqhVIn70V3\n9xo3bhxGjRrFVTlINKRSKb7++mtMnz4df/31FywtLVGvXj0AwOLFi7Fq1Sr89ttvkEqlWLBgAdq0\naWPkiIlKZtmyZfjjjz+MHQYACCPrRcXExODGjRs67bm5uejfvz/Mzc3LI7RS69atGyZNmmTsMIi0\nVKlSBTNnzsScOXOEUfbatWsjMjISarUaAJCYmIgZM2agQ4cOWo8tujoNiUOpl4pUKBSQSCTw8vLC\nF198wcSdRCcwMBAxMTHQaDTIyMgQEnYrKytMmzYN9vb2sLOzwzvvvGPsUIlESSrV/YiRSCR62wGU\neKEDItLVrVs37NmzB99//z3Wrl0LmUwmJO5AQblzUFCQESMkQyn1yHvhN7vnF/wnEoOnT59qlcYU\n2rNnDzw9PREYGIjExEQAwA8//IDJkycXm3AQVSSTJk2qMCPDhw4dwowZM7TaxowZA19fX/j7+2tt\nBtOoUSP88ssvLLskeg12dnZ47733ABSUqT3vzp075R0SlYFSJ+9ubm64ffs2MjMzDRkPUbkoLkGQ\nSCSYOnWq1g6Q27Ztg7u7O/r3719e4RFVCt7e3rCyskJERASUSiW6d++OXr16AQA2bdqEkJAQKBQK\nNG/eHAEBAUzciQyoSZMmiImJ0Wkj8Sv1Ou//+9//sHr1atSsWRMHDhzgm+5LcJ33ilWLCwDJycnI\nzc3VarO0tNT7hdTMzKzCT6RjLS4RERW6ceMGxo8fL/zCZWtri6CgoGJXW6OK42U5Y6nrAAICAuDg\n4IC4uDgsXrz4tYIkMgZbW1tUqVJFqMG1srIqdklIfjklIiIxadiwIXbt2gUbGxvY2Nhg165dTNwr\niVKXzTg6OmL58uX49NNPERwcjMuXL2PIkCHw9PRE1apVuS426ahItbgv8sUXXwjbtgMFk+hWrlzJ\n+R1ERCQqVlZWMDU1FW5T5VDq5H3cuHEAABcXF6SnpyMmJkantupluMMqVUQLFizAxo0bceLECTg5\nOSEgIICJOxERiUpiYiKmTZuGpKQkAMDIkSOxePFiLg1ZCZQ6eT969KhQSsAdVqkyMTc3x2effYbP\nPvvM2KEQERGVypIlS3DlyhXh/pUrV7BkyRIsWrTIiFGRIZQ6ea9evboh4yAiIiIiAym6g/iL2kh8\nSp28HzlyxJBxEBEREZGB2Nvb48mTJzptJH7cdYaIiIiokgkICChRG4lPqUfeiYiIiKhiGjRoEOzs\n7DB//nwAwJw5c9C9e3cjR0WGwJF3Ij1UKhUuX76M+Ph4Y4dCRERUKj4+PrC3t4e9vT0T90qEI+9E\nz7lw4QJmzpyJZ8+eASjY4n3+/PnCWrlERERExsKRd6Ii8vLyMGvWLCFxB4BDhw4hPDzciFERERER\nFWDyTlTEzZs3hQ0tijp16pQRoiEiIiLSxrIZoiKcnJwgkUh0NhxzdnY2UkREREQv9vTpU5w7dw7O\nzs5o3bo1pFKOzVZmTN6JinB1dYWPjw/27dsntMnlcgwePNiIUREREen3+++/47vvvoNarQYAeHp6\nYuXKlbC0tMT+/fuRnJwMANi/fz98fHyMGSoZCJN3oufMmTMHjRs3xsmTJ+Hk5IRBgwbBw8PD2GER\nERFpycjIwJIlS4TEHQCuXr2KsLAwWFlZ4YcffhDaAwMDkZKSgkGDBhkjVDIgJu9Ez5HJZBg0aBDf\n4IiIqEKLjY1Fdna2Tvvly5dx584dnfbNmzfzs60SYFEU0XPS09OxaNEi9O3bFyNHjsTRo0eNHRIR\nEZGON954AyYmJjrttWvXFsplitLXRuLD5J3oOdOmTcOOHTvw4MEDXLlyBVOnTsW5c+eMHRYREZEW\nZ2dnnZF0R0dHfPTRR+jUqZNOf31tJD4smyEq4t69ezh//rxWm0ajwa+//oo2bdoYKSoiIiL9Jk2a\nhNatW+PUqVNwdnaGr68vHB0dMXXqVCQkJODKlSsAgCZNmmDq1KlGjpYMgck7URE5OTmv1E5ERGRs\nHTt2RMeOHbXanJycMHDgQNy4cQMAMHDgQDg5ORkjPDIwls0QFeHh4YGaNWvqtL/33ntGiIaIiKh0\ntm3bhsDAQKhUKqhUKgQGBmLbtm3GDosMgMk7URESiQQ//vgjGjduDACwtLTExx9/jN69exs5MiIi\nopLbvHlzidpIfFg2Q/Sc2rVr45dffkFKSgrMzc0hl8uNHRIREdEr4WozlRdH3omKYWdnx8SdiIhE\nqXPnziVqI/Fh8k5ERERUyUyZMgVNmjQR7jdp0gRTpkwxYkRkKCybISIiIhKxnJwcBAcHC8tFBgQE\noFmzZti4cSO6d+8OANi4caORoyRDYfJOREREJGLTp0/HyZMnhfsnT57Ehg0b0LhxY8hkTPUqG5bN\nEBEREYnUvXv3tBJ3AMjLy8P27duNFBGVNSbvRERERCKVmppabPvevXuRnJyM5ORk7N27t5wjo7LC\n5J2IiIhIpBo3bgxnZ2ed9ipVqmD27NnIzc1Fbm4uZs+ejbCwMCNESIbG5J2IiIhIpGQyGRYvXgw3\nNzfh/sCBA3H58mWdvlu2bCnv8KgMcBYDERERkYi99dZbiIyMhEKhgJ2dHezs7LBz506dftykqXIQ\ndfKuUqmwfft27N69G7du3YJKpYKLiws6dOiAgIAA1KlT57XOf//+ffzyyy84efIkHj16BLlcjho1\nasDb2xsffvghHB0dDXQlRERERKUnlUpRu3Zt4f7bb7+NQ4cOafV5++23yzkqKguiTd6Tk5MxevRo\n/P3331rtCoUCCoUCERERmDdvHvz8/Ep1/oiICMydOxdKpVJoUyqVuH79Oq5fv46QkBAsWrSILwQi\nIiKqcKZMmYLExETExMQAAJo3b46pU6caOSoyBFEm7/n5+ZgwYYKQuPv4+OD999+HtbU1Ll68iDVr\n1iA9PR2BgYGoVq0a2rVr90rnP3bsGGbOnAmNRoMqVapgxIgRaN26NTQaDc6dO4dNmzYhOTkZEydO\nRGhoKBo3blwWl0lERERUKo6Ojli3bp2wSdO6deuMHBEZiiiT98jISJw/fx4AMHLkSEyfPl041qJF\nC3Tp0gX+/v5ISUnBd999h127dkEqLdnc3Pz8fHz77bfQaDQwNTXF1q1b4enpKRzv2LEjOnfujICA\nAOTk5GDp0qXctYyIiIgqJG7SVPmIcrWZ4OBgAICTkxM+//xzneN16tTB+PHjAQCxsbGIjo4u8bnP\nnDkDhUIBABgyZIhW4l6oVatWQrnMyZMni11jlYiIiIjIkESXvN+7dw+xsbEAgO7du6NKlSp6+/n5\n+cHExAQAsH///ld6jnfffRfVq1dH165di+1TdDLso0ePXun8RERERESlIbrfUi5duiTcbtOmTbH9\nrKys0KBBA1y7dg1nzpwp8fm9vLzg5eX10n4PHz4UbletWrXE5yciIiIiKi3Rjbzfvn1buF10SSR9\natasCaBgZDwzM9NgMVy5cgV//PEHAKBt27ZwcHAw2LmJiIiIiIojupH3J0+eCLerVav2wr5Fjz99\n+hTu7u6lek6NRoPMzEzcv38fu3btwvbt25GbmwtbW1vMnj27VOckIiIiInpVokvei04OtbS0fGFf\nc3Nz4XZ6enqpn/P333/HtGnTtNpatGiBb7/99rU3giIiIiIiKinRlc3k5uYCAExMTF66/FHRyayF\njyuNovXthWJjY7FlyxauNENERERE5UZ0I++FK8hIJJKX9tVoNMLtkvQvTuvWrbFp0yZYWVnh7t27\nCA0NxV9//YXQ0FBcuHABwcHBcHR0LPX5iYiIiIhKQnQj7xYWFgCAvLw8qNXqF/ZVKpXCbTMzs1I/\nZ6tWreDl5YUmTZqgb9++CAsLQ//+/QEUjMAvWrSo1OcmIiIiIiop0SXvRevcs7OzX9i36HE7OzuD\nxSCVSjF37ly4uLgAAPbu3fvSWIiIiIiIXpfokvfq1asLt1+2OVLhcYlEAmdnZ4PGYWZmhnfeeQcA\noFKpcOfOHYOen4iIiIjoeaKrea9Xr55wW6FQaN1/nkKhAAC4ubkVuxPr81JTU6FQKJCYmIh33333\nhX2LjuarVKoSnZ8qvpycHISEhODEiRNwdHREQEAAWrRoYeywiIiIipWdnY39+/cjLi4OLVq0QIcO\nHV5rvh9VXKJL3ps0aSLcvnDhArp27aq3X0ZGBm7evAmgoGa9pKZNm4ajR49CIpHg1KlTL9yAqfDL\nAQC4urqW+DmoYps1axaOHTsm3D916hTWrVun9bdHRERUUWRkZGDkyJFCFUBISAj69euHwMBAI0dG\nZUF0ZTM1atSAp6cnAGDPnj3FLgEZGRkpTGj19vYu8flbtmwJoGClml9//bXYfgkJCUKC9+abbzJ5\nryTi4+O1EncAUKvVCA8PN1JEREREL7Zz506d8t2dO3dq7UpPlYfokncAGDJkCICC3VYXLlyoc/z2\n7dsICgoCANSqVUuoTS8JPz8/YUWbNWvW4J9//tHpk5GRgS+++AJZWVkAgDFjxrzqJVAFlZaWprc9\nJSWlnCMhIiIqmeKSdCbvlZMok/d+/foJpTBbt27F6NGjceTIEVy6dAkbNmzAoEGDkJKSAqlUijlz\n5uhs5vTVV1/Bw8MDHh4eiIiI0Drm7Ows7KaakZGBDz74AEuXLsXx48cRExODkJAQ+Pr64sKFCwCA\nXr16oV+/fuVw1VQePDw8hFWEinqVL4BERETlqXHjxjptUqkUCoUCSUlJSEpKemE1AYmL6GregYLV\nY4KCgjBq1ChcvXoV0dHRiI6O1upjamqKuXPnokOHDq98/sGDByM3NxdLliyBUqnE2rVrsXbtWr39\nZs2axQkhlYiJiQkWL16MwMBAxMXFwcTEBP369cP7779v7NCIiIj06tOnDw4ePIhLly4JbS1btsTq\n1auF+wsXLkRGRgaGDx9uhAjJkESZvAOAvb09wsPDsX37dkRFReHff/9FVlYWnJ2d0a5dO4wYMQL1\n69cv9fmHDRuGzp07Y/PmzTh16pSw7KSLiwtat26NwYMHC7X3VLk0btwYERERuH//Puzs7Ay6RwAR\nEYnbsmXL8Mcffxg7DB0ajQZ2dnZQq9UwNTXFxYsXdfqsWrUKO3bsMEJ0r6Zbt26YNGmSscOosESb\nvAOATCaDv78//P39X+lxCxcu1Fsr/zx3d3fMnj27tOGRiEkkEtSuXdvYYRAREZWIRCKBXC4X7ufn\n5+v00ddG4iPq5J2IiIioPE2aNEkUo8Jff/019u3bp9XWo0cPfPPNN0aKiAxFlBNWiYiIiKh4U6ZM\nETZqkkgk6NChA6ZMmWLssMgAOPJOREREVMnY2tpi+fLlSEpKAgA4OjoaOSIyFCbvRERERJUUk/bK\nh2UzREREREQiwZF3IiIiokro77//xp49ewAUbCr51ltvGTkiMgQm70RERESVzKFDhzBr1ixheciI\niAh899138Pb2NnJk9LpYNkNERERUyaxevVprXff8/HysWbPGiBGRoXDknUiPW7du4eTJk3B0dES3\nbt1gbm5u7JCIiIhKLD4+XqctLi7OCJGQoTF5J3pOaGgofvzxR+H+hg0bsH79ejg5ORkxKiIiopJr\n2bIlzp07p9XWqlUrI0VDhsSyGaIi0tLSsHLlSq22+Ph4bNmyxUgRERERvbqpU6fCxcVFuO/i4sJN\nmioJjrwTFXHv3j0olUqd9ps3bxohGiIiotJxd3fHzp07hdH3tm3bQiZj2lcZ8P8iURG1a9eGXC7X\nSeAbNGhgpIiIiIhKx9TUFB06dDB2GGRgLJshKsLGxgaffPKJVpubmxuGDBlipIiIiIiI/g9H3ome\nM2TIELRu3RonT56Ek5MTvL29udoMERERVQhM3on08PDwgIeHh7HDICIiItLCshkiIiIiIpFg8k5E\nREREJBJM3omIiIiIRILJOxERERGRSDB5JyIiIiISCSbvREREREQiweSdiIiIiEgkmLwTEREREYkE\nk3ciIiIiIpFg8k5EREREJBJM3omIiIiIRILJOxERERGRSDB5JyIiIiISCZmxAyAiov+epKQk/Prr\nr7h//z6aN2+Ovn37wszMzNhhERFVeEzeiYioXKWkpGDo0KF48uQJAODgwYOIjo7GihUrjBwZEVHF\nx7IZIiIqV5GRkULiXuj06dO4fPmykSIiIhIPJu9ERFSuHj58+ErtRET0f5i8ExFRuWrVqpVOm4mJ\nCVq0aGGEaIiIxIXJOxERlStvb2/06tVLuC+TyTB58mS4uLgYMSoiInHghFUiIipXUqkU8+bNw/Dh\nw3H//n289dZbcHR0NHZYRESiwOSdiIiMwt3dHe7u7sYOg4hIVFg2Q0REREQkEkzeiYiIiIhEgsk7\nEREREZFIMHknIiIiIhIJJu9ERERERCLB5J2IiIiISCSYvBMRERERiQSTdyIiIiIikeAmTUREVO6S\nk5Px66+/QqFQoFmzZvD19YWpqamxwyIiqvCYvBMRUblKSUnB0KFD8ejRIwDAvn37cOzYMfz0009G\njoyIqOJj2QwREZWrnTt3Col7oVOnTuHKlStGioiISDyYvBMRUbl68OCB3vb4+PhyjoSISHyYvBMR\nUblq2bKlTpuJiQlatGhhhGiIiMSFyTsREZUrb29v9OjRQ7gvk8kwadIkuLq6GjEqIiJx4IRVIiIq\nVyYmJvjmm28wbNgwKBQKNGnSBE5OTsYOi4hIFJi8ExGRUdStWxd169Y1dhhERKLCshkiIiIiIpFg\n8k5EREREJBJM3omIiIiIRII170RERESVUH5+Pv766y8AQLNmzSCVcsy2MmDyTkRERFTJxMfHY+LE\niVAoFACAmjVr4qeffkKNGjWMHBm9Ln4FIyIiIqpkFi9eLCTuAKBQKLBkyRIjRkSGwuSdiIiIqJI5\nd+6cTtvZs2eNEAkZGpN3IiIiokpG347F1apVM0IkZGhM3omIiIgqmdGjR+u0jRo1ygiRkKFxwioR\nERFRJdOrVy9UrVoVu3fvBgD06dMHrVu3NnJUZAhM3omIiIgqodatWzNhr4RYNkNEREREJBJM3omI\niIiIRILJOxERERGRSDB5JyIiIiISCU5YJSKicvfs2TPs2LEDCoUCzZs3h6+vL8zMzIwdFhFRhcfk\nnYiIylVKSgqGDh2Kx48fAwAOHDiA6Oho/PTTT0aOjIio4mPZDBERlaudO3cKiXuhU6dO4fLly0aK\niIhIPJi8ExFRuXrw4IHe9ocPH5ZzJERE4sPknYiIylWrVq102kxMTNC8eXMjRENEJC5M3omIqFx5\ne3ujZ8+ewn2ZTIbJkyfD1dXViFEREYkDJ6wSEVG5kkqlmD9/PoYPHw6FQgFPT084OTkZOywiIlFg\n8k5EREbx5ptv4s033zR2GEREosKyGSIiIiIikWDyTkREREQkEkzeiYiIiIhEgsk7EREREZFIMHkn\nIiIiIhIJJu9ERERERCLB5J2IiIiISCSYvBMRERERiQSTdyIiIiIikWDyTkREREQkEkzeiYioTN2/\nfx+xsbE67SqVCgkJCdBoNEaIiohInGTGDoCIiCqntLQ0TJs2DRcuXAAAvPnmm1i6dCneeOMNbNu2\nDevWrUNqaireeOMNzJo1C61atTJyxEREFR9H3omIqEwEBQUJiTsA3LlzB/Pnz8fFixfxww8/IDU1\nFQAQFxeHL7/8EhkZGcYKlYhINJi8ExFRmThx4oROW0xMDPbt26fTnpmZidOnT5dHWEREoibashmV\nSoXt27dj9+7duHXrFlQqFVxcXNChQwcEBASgTp06r3X+J0+eIDQ0FCdOnIBCoUB2djZsbW3RsGFD\n9OrVC3369IFMJtp/PiKiMufo6IinT59qtVlZWcHa2lpvfwsLi/IIi4hI1EQ58p6cnIzBgwdj/vz5\niImJQUZGBpRKJRQKBcLCwuDn54fIyMhSn3/v3r3w8fHB6tWrcfXqVaSlpUGlUiExMRHHjx/HV199\nhUGDBuHJkycGvCoiospl6NChOm3+/v7w8/ODXC7Xaq9Zsybatm1bXqEREYmW6IaO8/PzMWHCBPz9\n998AAB8fH7z//vuwtrbGxYsXsWbNGqSnpyMwMBDVqlVDu3btXun8p0+fxpQpU6BWqyGXy+Hv749O\nnTrB2toacXFxCAsLw/nz5/H3339j9OjRCA8Ph7m5eVlcKhGRqHl7e8PCwgIRERFQKpXw8fFB7969\nAQCrV6/GunXroFAo0Lx5c3zyySf8NZOIqAQkGpGt0fXbb79h5syZAICRI0di+vTpWsdv374Nf39/\npKSkoH79+ti1axek0pL9wKDRaNCzZ0/cuXMHcrkcISEhaNasmU6fuXPnYtu2bQCASZMmYdy4cS89\nd3x8PLp27YrDhw+jRo0aJYqHiIiIiP5bXpYziq5sJjg4GADg5OSEzz//XOd4nTp1MH78eABAbGws\noqOjS3zumJgY3LlzBwAQEBCgk7gDgEQiwcyZM+Ho6AgA2Llz56teAhERERFRqYgqeb93756w0Uf3\n7t1RpUoVvf38/PxgYmICANi/f3+Jz190SbMuXboU208ul6Nly5YAgLt37yI3N7fEz0FEREREVFqi\nKjC8dOmScLtNmzbF9rOyskKDBg1w7do1nDlzpsTnb9KkCcaOHYunT5+iVq1aL+xbtNpIqVTCzMys\nxM9DRERERFQaokreb9++LdyuXbv2C/vWrFkT165dw6NHj5CZmQlLS8uXnr9du3YlmuCqUqmELxLW\n1tbFLntGRERERGRIoiqbKbo0Y7Vq1V7Yt+jx59cZfl2//fYbkpKSAAAdO3Y06LmJiIiIiIojquS9\ncCttAC8dSS+6fGN6errBYrh//z6WLl0q3B8xYoTBzk1ERERE9CKiKpspnBhqYmLy0vWAi05mNdSE\n0qSkJIwdOxZpaWkAgA8++ABNmzYt0WPVajUA4PHjxwaJhYiIiIgqn8JcsTB3fJ6okvfCFWQkEslL\n+xadUFqS/i+TkJCAkSNH4u7duwCARo0aITAw8JUeDwAfffTRa8dCRERERJVbQkKC3gVURJW8j0Zt\n0AAAIABJREFUW1hYAADy8vKgVquFZF4fpVIp3H7dlWAUCgU+/vhjKBQKAIC7uzvWrVtX7FKV+nh6\nemLr1q1wdnZ+YdxERERE9N+lVquRkJAAT09PvcdFlbwXrXPPzs6GlZVVsX2zs7OF23Z2dqV+zpiY\nGHz66ad49uwZAKBevXrYuHEjnJycXuk8VapUQatWrUodBxERERH9N7xoyXJRTVitXr26cPvRo0cv\n7Ft4XCKRwNnZuVTPt2/fPgwbNkxI3Js2bYrNmzejatWqpTofEREREdHrEFXyXq9ePeF2YQlLcQqP\nu7m5vVJ5S6HQ0FBMnjxZKL9555138Msvv8De3v6Vz0VEREREZAiiSt6bNGki3L5w4UKx/TIyMnDz\n5k0AKFWpSmhoKObNm4f8/HwAwMCBA7Fq1Sqt5SeJiIiIiMqbqJL3GjVqCMX7e/bsKXYJyMjISGF5\nHW9v71d6jlOnTuGbb74R7o8bNw7ffPMNJ5kSERERkdFJNEXXVBSByMhIfPXVVwAKll2cPXu21vHb\nt2/D398fKSkpqFWrFvbu3fvSNeELpaeno2fPnsKOrMOHD8eMGTMMewGVSEBAAM6dOwcA+OKLL/DJ\nJ5+U6HHz58/H1q1bAQCHDx9GjRo1yixGY7t58yYaNGig0174b2dmZoa///7bCJFRefuvv14iIiKE\n99Px48djwoQJBnlc0X/X4piamsLS0hJubm5o3bo13n//fXh4eLz0ue/fv489e/bg+PHjePDgAZ49\newYLCws4ODigcePG6NSpE3r06AG5XF6ia6H/hq+++gqRkZEAgJCQELRt2/a1H/eyv1eJRAIzMzPY\n2NjA3d0dXl5e+PDDD+Hg4PDS571w4QIOHjyIs2fP4unTp0hPT4etrS0cHR3RqlUrdOnShbvJVzCi\nWm0GAPr164dff/0VFy5cwNatWxEXF4fBgwfDzs4OMTExWL16NdLS0iCVSjFnzhydxL3oi2PBggV4\n//33hWObN28WEnc3Nzf07t0bN27ceGlMderUee3lKMVu1apVeO+991CnTh1jh1IhJCQkYNGiRbh0\n6RKOHDli7HCoguHrpXypVCqkpKQgJSUF165dQ0hICMaMGYNJkybp7Z+fn48ff/wRwcHBUKlUWsdS\nU1ORmpqKu3fvIioqCj/99BMCAwPRpUuX8rgUIr00Gg2USiUSEhKQkJCAc+fOYd26dVi8eDG6deum\n9zHPnj1DYGAgDh8+rHMsMTERiYmJ+Oeff7B161a0aNEC3377Ld+zKgjRJe8SiQRBQUEYNWoUrl69\niujoaERHR2v1MTU1xdy5c9GhQ4dXOvf27duF2w8ePMCAAQNK9Dgxj4YZSm5uLmbNmoXQ0FBIpaKq\nxioTU6ZMwZkzZ+Dm5mbsUKgC4uulbKxdu1bvamB5eXlIT0/H2bNn8csvvyA7OxurV6+Gvb09hg8f\nrtN//vz5CAsLA1AwOOPn54eGDRvC1tYWubm5iIuLw5EjR3Dw4EE8ePAAEyZMwPLly4tNkogMxdnZ\nGevWrdN7LDc3F0lJSdi7dy+ioqKQmZmJiRMnIjw8HG+99ZZW36ysLIwZM0b45dfLyws+Pj5wd3eH\nubk5srKycOvWLezcuRN///03Ll26hGHDhiE0NBQ1a9Ys8+ukFxNd8g4A9vb2CA8Px/bt2xEVFYV/\n//0XWVlZcHZ2Rrt27TBixAjUr1//lc757Nmzly4/SS8WExODkJAQvR+G/zWFk52Ls3nz5nKKhCoq\nvl4Mr06dOi8cSPHy8oKXlxdGjhyJvLw8LF++HAMGDNDaM+TixYtC4t6zZ08sWbJE5xfcli1bol+/\nfjh27Bg+++wzqFQqzJo1C15eXsJmgkRlwczMDA0bNnxhny5duqBu3bpYtmwZ1Go1Fi1ahC1btmj1\nCQ4OFhL3wMBABAQE6Jynbdu2+Oijj7B8+XL8/PPPSEhIwLx587BhwwbDXRCViiiTdwCQyWTw9/eH\nv7//Kz1u4cKFWLhwoU67g4MD/vnnH0OF958ilUohlUqRl5eH//3vf+jatSveeOMNY4dFVCHx9WJc\nbdu2hY+PD6KiopCVlYXDhw+jb9++wvFt27YBKEiS5s2b98I5U2+//TZGjBiBtWvXIiUlBbt27cLg\nwYPL/BqIXmb06NEIDw/Hw4cPceHCBTx69AjVqlUTjoeHhwMo2L9GX+JeSCKR4IsvvsCZM2cQExOD\nEydO4Pbt2yyfMTL+XkuvTSaT4eOPPwZQsLNtYGCgkSMiqrj4ejG+zp07C7djY2O1jv37778AAEdH\nR9jY2Lz0XH5+fsLtkg4ArVixAh4eHiWaNEtUGiYmJvDy8gJQUA9f9O88IyMDjx8/BgDUrl27ROfr\n16+fcLukf+cBAQHw8PB44ZcDKh3RjrxTxTJ+/HgcOnQId+7cwZkzZ7B9+3YMHDiw1Oe7ffs2tmzZ\ngtOnT+PJkyfQaDRwdXVF27ZtERAQgLp1677w8RkZGdiyZQsOHDiAu3fvQiKRoFatWujZsyeGDx+O\nQ4cOYfLkyQCKn7MQFxeHHTt24Ny5c4iLi0NqairMzMzg4OCApk2b4v3339eZV1F0QjRQMHei8APa\nz89P+NVH32ozwcHBWLBgAQBg2bJl6NmzZ7HXd/78eQwZMgQA8OWXX2LMmDFax7OzsxEWFoY//vgD\nd+7cQUZGBuzs7ODp6Yk+ffqgR48erLU2IkO/XmJiYrB9+3ZcuHABT548gYmJCapXr4727dvjo48+\ngru7u97HFf69NmjQALt27cK9e/fwyy+/4MSJE3jy5AnMzc1Rv3599OvXD35+fpXmb8bR0VG4nZ6e\nrrfP48ePER8f/9L5TO7u7vj+++9hb2//wu3MicpbSf7OL1++DJVKBVNT0xee691330WVKlXg4ODw\n0rIdKnuV452YjM7MzAzfffed8OG+ePFiPHnypFTnWrVqFfr06YPQ0FDcvXsXWVlZyM7Oxt27d7Ft\n2zb06dMHK1asQHGrnMbFxcHPzw/Lli3D9evXkZ2djaysLNy4cQNLly5F//79kZiY+MIY1qxZAx8f\nH6xZswYxMTFITEyESqVCZmYm4uLiEBUVhZEjR2Lu3LmlukZ9+vTpI/xEHxUV9cK+u3fvBlBQguHr\n66t17MqVK+jevTsWLVqEixcvIjk5GSqVCgkJCfjzzz8xefJk+Pv7CysrUfkz1OslNzcXM2bMwKBB\ngxAREQGFQgGlUomsrCz8+++/2Lx5M3r37o3Vq1e/9FwHDhxAv379EBoaKpwnJSUF586dw8yZM/Hx\nxx8Xu7eG2CQlJQm3n981uzAx0Wg0mDBhwktHGSUSCfr3748uXbqwlIAqlOL+zq2srIRSvXv37uGr\nr77S6quPi4sL+vXrh86dO8PZ2blsAqYSY/JOBtOiRQt89NFHAAq+5c+ZM+eVz7FixQosX74carUa\nderUwezZsxEWFoawsDDMnj0btWvXRn5+PoKCghAUFKTz+PT0dAwZMgQKhQIA0L17d6xevRrh4eGY\nP38+atasidjYWCxZsqTYGH777Tf8+OOPyMvLg6urK6ZMmYKNGzciPDwcy5Ytg6+vr5B0hYWF4fjx\n48JjJ06ciJ07d6Jx48YAClYG2LlzJ3bu3ImJEye+8NodHR3RqVMnAEB0dDTS0tL09lOpVDhw4ACA\ngvpdV1dX4ditW7cwbNgwYdR05MiR2LBhA3bs2IGffvoJ3bt3B1AwUjty5EhkZma+MCYqO6/7esnP\nz8eXX36JiIgIAAXL2xauYLN582ZMmDABNjY2yMvLw7Jly7BixYpiz/Xo0SNMmTIFADBq1CgEBwcj\nNDQUX375pTCZ89SpUwgODi7FlVY8x44dE243a9ZM69jQoUOFL9HXr1+Hr68vBg4ciNWrVyMmJkZn\n6UiiiigvLw8nT54EUFBCU3SHegAYMWKEcDsqKgpvv/02xo0bh9DQUNy+fbtcY6VXx7IZMqjJkyfj\nyJEjePDgAf7880/s3r0bffr0KdFjr127hlWrVgEoSLp/+OEHrfXzW7Rogf79+2PcuHE4ffo0Vq5c\niR49emiV0KxYsUKo5Xu+nKRZs2bo1asXRo0ahZiYGL0xaDQa/PTTTwAAGxsbbNmyRWsyYbNmzdCz\nZ080bfr/2rvzsCau/X/g74CAhAiIKIsbUlGsC4qACAVFCgj2KtBSoVSrbbX3etVbqVRtFRes1bq2\nvbbeouAOKKCoiIAsUkAWN1AsVNEqICICYYtAgHz/4Jf5JWQBlE37eT2PzzPJnMycGTPkM2fO+RwT\nZibeS5cuMUG3vr4+9PX1oaamBqBjmQFEzZs3D4mJieDz+YiNjZWarvT3338Hl8sFIN4PEQB8fX3B\n4/EwaNAgHDt2TKwlcNKkSXBycsKpU6ewYcMG3Lt3D7/++isTtJGe9yrXy4ULFxAbGwug9doICAgQ\ny5piYWEBNzc3LFiwAMXFxdi/fz9mzpwpkTIOaM1dzmazcfLkSbHv69SpU2FhYQFPT08IBAKcOXNG\noovWyygrK+vQHBoA8OTJk1fen6jLly8jOjoaAKCnpycx+YyxsTE2bdoEPz8/JmtUdnY2srOzAQCq\nqqowMTGBlZUVZs6cSf3WiVyPHz/u0NgJAMzf9VclEAiwe/duJoOek5MTBgwYIFbG29sbt2/fZrp5\n8vl8JCYmIjExEUBrEg9zc3NYWVnBzs4OOjo6XVI30jUoeCddis1mw9/fH59++ikA4LvvvoO1tXWH\nZnkLDAxES0sL2Gw2vvvuO6kTX/Xv3x/btm2Dvb09WlpacOzYMWzevBkA0NDQwOTqnzJlitQgg8Ph\nYNeuXXByckJTU5PE+uLiYqirq6O2thbu7u4ys4DMmzePCd5ftnuQNPb29tDQ0EBVVRWioqKkBu/C\nLjNsNhuOjo7M+6mpqUxA5OPjI/MR/ocffojo6GikpaUhODgY//nPf9rt70i6x6tcL8J0bcrKyti7\nd69Y4C40dOhQbN++HQsWLIBAIMChQ4ewb98+qdvz8vKSeqM5efJkjB07Fnl5eXjw4AEaGxtfeVK6\n0NBQJttFVyooKJDat5fH46GwsBBJSUmIiYlhgvL169dL/e57eHhg1KhR2LRpE+7duye27sWLF0hP\nT0d6ejr27NmDcePGYc2aNZg+fbrEdrhcrtQUxGVlZcyytJsYNptN/effEF09IL2xsVHqd0YgEKCm\npgb379/H+fPnmQYqdXV1mQ0027dvh6mpKfbu3YuKigqxdRUVFYiJiUFMTAw2b94MOzs7rF27VmqO\n9ydPnqCqqkrifeGT3bq6Oql11tbWpi44L4mCd9LlrK2t4e7ujoiICFRWVsLf3x979+6V+xmBQMB0\nP5k0aZJEK4EofX19GBkZIT8/H+np6cz7V69exYsXLwBAbObctoYNGwZra2uxR+ei64TBsbxc7RwO\nB/3790d9fX2X9gNWVlaGs7MzQkJCkJGRgefPn0NbW5tZX1dXx7SMODo6iuWUTkpKYpbbm6BsxowZ\nSEtLQ21tLW7fvg1TU9MuOwbSOS9zvTx//hx5eXkAgJkzZ4p1nWrLwsICo0ePxv3795GamoqWlhap\nA0/lTX8+YsQIZn91dXV9dkbpjj4VUFFRwcaNG+VOqmRmZsYEQXFxcUhJScG9e/ckxtr88ccfWLRo\nERYvXoy1a9eKrUtISMC6devk1qXt0zOg9f+M5oIg0pSVlUn9zkijq6uLn3/+We5kgR9++CFcXV2R\nnJyM+Ph4pKWlMU+vhVpaWhAfH4+UlBTs2LEDzs7OYut/+uknsUQNbeXm5kqt8/Lly7FixYoOHQsR\nR8E76Rbr1q3D77//jrKyMly8eBFz5syR+0NZVFTE3Lmnp6d3+FF0UVERsyx6Zz9hwgS5n5s0aZLU\n4F2UMMCpra1FYWEhHj9+jIKCAvzxxx+4fv066uvrAUDmwNmX5ebmhpCQEDQ3NyM6OloszVZcXBxz\ng9L2j6Ho8c+cObPD+yssLKTgvZd19noRbQ02MTFpd/smJia4f/8+qqur8fTpU+jr60uUkZdVRfQm\nsbm5ud39taczP9oRERHtBsDtYbPZ0NDQwOjRo2Fubo73339f7KZYFhaLBVNTU5iammLNmjWoqKhA\nVlYWrl69iuTkZBQXFzNlg4KCoKOjI9aXmJCjR49i2rRpHSrbNltZZygoKIDD4UBLSwvGxsawsbHB\nP/7xD6ioqLT7WWVlZbz77rvM35xHjx4hMzMTV69eRUpKCvPb3NDQAF9fX+jp6UmMFSE9i4J30i3U\n1dWxadMm/Pvf/wYAbNq0CRYWFjL7/lVWVr7UfpqamlBbWwsOhyM3g0Rboim0pCkoKEBQUBCSk5Ol\ndothsVgvVd+OmDx5MgwMDPDXX38hKipKLHgXZqHR09OT+EF42XMoa2As6Tmvcr20910GIBaocrlc\nqcG7qqqqzM+Lft9Fb1bv378vdwDniBEjmPEfPUFW2teuoqWlBScnJ2bg99WrV/HDDz/g7t27AIAD\nBw7A09OTOZfu7u5SnwL+/PPPzIB7mhyQdMbQoUORkJDQrfsYOXIkRo4cCQ8PD/D5fERGRmL37t2o\nqKgAn8/Hf//7Xxw8eJApL2vyS2FKZHqS1PUoeCfd5t1338Xs2bNx6dIllJWVYfv27di2bZvUsqKt\nee+//36nJnUQ/lCKdl+R1+WlPeHh4fDz8xPrE6+pqQlDQ0MYGRnBxMQE1tbWcHZ2Bo/He+n9yOPq\n6op9+/bh5s2bTK7piooKXL16FQDEMt4ICes7cOBABAUFdXhfNBCpb+jM9SIaQHfkRlL0+urKXO1L\nly4Va31uqzOtjn3Bixcv8Pz5c5SXl8PExKTdczt9+nScOHECH3zwAQoKCsDlcnH37l1MnTq1h2pM\nSOdVV1fj+fPnaGxshLGxsdyySkpK+OCDDzBlyhS4urqisbER6enpMrvfkZ5BwTvpVn5+fkhPTweX\ny0V4eDjmzJkjtZyGhgaz3NDQ8FKTQIi2tldUVMjt5ydrVH9+fj4TuKupqWHFihVwcHCQaM1raWlh\nus10h3nz5uHHH3+EQCDAxYsXsXTpUly8eJEJ0EWncxfS1NQE0PqH2dDQsEOPS0nf0tHrRfh/DaDd\nOQsA8XzPotcaEbd+/Xrm6dbFixc7lLedzWZj/vz5zI1WVw5gJ6Q7uLi4oKysDNra2kw6yfa89dZb\nsLW1xeXLl8Hn81FZWdmhp36ke9BtE+lWgwYNEuuvumHDBqbPtqjhw4czLehZWVnttpwHBgYiJCQE\naWlpzHuiAb/wMbYsubm5Ut8PDQ1lAmQ/Pz8sXrxY6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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "ANOVA F: 38.0324507313\n", "p value: 9.2158922188e-16\n", "Multiple Comparison of Means - Tukey HSD,FWER=0.05\n", "=================================================\n", " group1 group2 meandiff lower upper reject\n", "-------------------------------------------------\n", " HPS+ Negative 0.0422 0.0297 0.0546 True \n", " HPS+ Non-HPS+ 0.002 -0.017 0.0209 False \n", "Negative Non-HPS+ -0.0402 -0.0579 -0.0226 True \n", "-------------------------------------------------\n" ] } ], "source": [ "anova_hpc(df1, 'mean_gm', 0.2, 0.6, path_results + 'adni1_adcn_meangm.pdf')" ] }, { "cell_type": "code", "execution_count": 63, "metadata": {}, "outputs": [ { "data": { "image/png": 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Wh9c7f/68MZovIiIicivpCX66GwuBSBqN5Odx+fPnzzBC7+fnx/Lly41foosX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\n4dChQ2Wahrm64T0qnx07dkh9IEuycOHCJ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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "ANOVA F: 16.1366858842\n", "p value: 2.10990154662e-14\n", "Multiple Comparison of Means - Tukey HSD,FWER=0.05\n", "===============================================\n", " group1 group2 meandiff lower upper reject\n", "-----------------------------------------------\n", " AD+ AD- 0.0239 -0.0086 0.0563 False \n", " AD+ CN+ -0.0144 -0.0586 0.0297 False \n", " AD+ CN- 0.0385 0.0138 0.0632 True \n", " AD+ HPS+ AD -0.0067 -0.0328 0.0194 False \n", " AD+ HPS+ CN 0.0077 -0.0467 0.0622 False \n", " AD- CN+ -0.0383 -0.0826 0.006 False \n", " AD- CN- 0.0147 -0.0104 0.0397 False \n", " AD- HPS+ AD -0.0306 -0.057 -0.0042 True \n", " AD- HPS+ CN -0.0161 -0.0708 0.0385 False \n", " CN+ CN- 0.053 0.014 0.092 True \n", " CN+ HPS+ AD 0.0077 -0.0321 0.0476 False \n", " CN+ HPS+ CN 0.0222 -0.0401 0.0845 False \n", " CN- HPS+ AD -0.0452 -0.0611 -0.0293 True \n", " CN- HPS+ CN -0.0308 -0.0812 0.0196 False \n", "HPS+ AD HPS+ CN 0.0145 -0.0366 0.0655 False \n", "-----------------------------------------------\n" ] } ], "source": [ "anova_hpc_split(df1, 'mean_gm', 0.2, 0.6, 'CN', 'AD', path_results + 'adni1_adcn_meangm_split.pdf')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Test on ADNI1 MCI stable vs converters" ] }, { "cell_type": "code", "execution_count": 64, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# load the data\n", "adni1_mci = pd.read_csv('/Users/AngelaTam/Desktop/adsf/adni1_vbm_adcn_subtypes_20171209/7clus/adni1_mci_bl_demog_weights.csv')" ] }, { "cell_type": "code", "execution_count": 65, "metadata": { "collapsed": true }, "outputs": [], "source": [ "mask_mci = adni1_mci.loc[:,'MCI'].values.astype(bool)\n", "adni1_mci = adni1_mci.iloc[mask_mci]" ] }, { "cell_type": "code", "execution_count": 66, "metadata": { "collapsed": true }, "outputs": [], "source": [ "adni1_mci.dropna(subset=['sub1','age_scan','gender','mean_gm','tiv'],inplace=True)" ] }, { "cell_type": "code", "execution_count": 67, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "238" ] }, "execution_count": 67, "metadata": {}, "output_type": "execute_result" } ], "source": [ "len(adni1_mci)" ] }, { "cell_type": "code", "execution_count": 68, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "((238, 11), (238,), (238, 4))" ] }, "execution_count": 68, "metadata": {}, "output_type": "execute_result" } ], "source": [ "x_ = adni1_mci.iloc[:,adni1_mci.columns.get_loc(\"sub1\"):adni1_mci.columns.get_loc(\"sub7\")+1].values\n", "#x_ = scalerX.transform(x_)\n", "y_ = adni1_mci['conv_2_ad'].values.ravel()\n", "\n", "\n", "confounds = adni1_mci[['gender','age_scan','mean_gm','tiv']].values\n", "#confounds = data[['sex','age_r']].values[mask_mci,:]\n", "#confounds[:, 1:] = scaler.transform(confounds[:, 1:])\n", "#confounds[:, 0] = preprocessing.binarize(confounds[:, 0].reshape(-1, 1), threshold=1)[:, 0]\n", "#confounds = scaler.transform(confounds)\n", "#x_ = crm.transform(confounds, x_)\n", "\n", "x_ = scaler.transform(np.hstack((x_,confounds)))\n", "\n", "x_.shape, y_.shape, confounds.shape" ] }, { "cell_type": "code", "execution_count": 69, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Level 1\n", "------------------------\n", "Ratio: 1.0\n", "# : 149.0\n", "# true values: 238\n", "ACC : 0.689075630252\n", "Level 2\n", "------------------------\n", "Ratio: 0.429530201342\n", "# : 64.0\n", "# true values: 73\n", "ACC : 0.876712328767\n" ] } ], "source": [ "array_results, dic_results = hpc.predict(x_, x_)\n", "\n", "# Level 1\n", "print('Level 1')\n", "stats_mask(y_, (dic_results['s1df'][:,0]>0).astype(float))\n", "\n", "print('Level 2')\n", "stats_mask(y_, (dic_results['s1df'][:,0]>0).astype(float), dic_results['s2df'][:,1]>0)\n", "#stats_mask(dic_results['s2df'][:,2]>0)\n", "#stats_mask(dic_results['s2df'][:,3]>0)" ] }, { "cell_type": "code", "execution_count": 70, "metadata": { "collapsed": true }, "outputs": [], "source": [ "y_pred = (dic_results['s1df'][:,0]>0).astype(float)\n", "lr_decision = dic_results['s2df'][:,1]" ] }, { "cell_type": "code", "execution_count": 71, "metadata": { "scrolled": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Total number of TARGET subjects: 149.0\n", "Total number of NON-TARGET subjects: 89.0\n", "Stage 1 number of hits (true and false positives): 123.0\n", "Stage 1 TRUE positives: 99.0\n", "Stage 1 FALSE positives: 24.0\n", "Stage 1 TRUE negatives: 65.0\n", "Total number of flagged HPC-AD subjects: 73.0\n", "Number of flagged HPC-AD subjects that are TRUE positives: 64.0\n", "Number of flagged HPC-AD subjects that are FALSE positives: 9.0\n", "Number of true negatives: 80.0\n", "#############################\n", "Stage 1 stats for TARGET vs NON-TARGET\n", "Precision for AD: 0.80487804878\n", "Recall (or sensitivity) for AD: 0.664429530201\n", "Specificity: 0.730337078652\n", "Adjusted precision for 33.6% baseline rate: 0.554923748257\n", "Accuracy: 0.689075630252\n", "#############################\n", "Stage 2 stats for TARGET vs NON-TARGET\n", "Precision for HPC-AD: 0.876712328767\n", "Recall (or sensitivity) for HPC-AD: 0.429530201342\n", "Specificity: 0.898876404494\n", "Adjusted precision for 33.6% baseline rate: 0.682476785485\n", "Accuracy: 0.605042016807\n" ] }, { "data": { "text/plain": [ "(0.66442953020134232,\n", " 0.7303370786516854,\n", " 0.80487804878048785,\n", " 0.68907563025210083,\n", " 0.42953020134228187,\n", " 0.898876404494382,\n", " 0.87671232876712324,\n", " 0.60504201680672265)" ] }, "execution_count": 71, "metadata": {}, "output_type": "execute_result" } ], "source": [ "predic_stats(y_, y_pred, lr_decision)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### characteristics of HPC-AD people in ADNI1 MCI" ] }, { "cell_type": "code", "execution_count": 72, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# make copy of dataframe\n", "df2 = deepcopy(adni1_mci)" ] }, { "cell_type": "code", "execution_count": 73, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/AngelaTam/anaconda3/lib/python3.5/site-packages/ipykernel/__main__.py:16: DeprecationWarning: \n", ".ix is deprecated. Please use\n", ".loc for label based indexing or\n", ".iloc for positional indexing\n", "\n", "See the documentation here:\n", "http://pandas.pydata.org/pandas-docs/stable/indexing.html#ix-indexer-is-deprecated\n" ] } ], "source": [ "hpc_df(df2, y_pred, lr_decision)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## cognitive decline " ] }, { "cell_type": "code", "execution_count": 74, "metadata": { "collapsed": true }, "outputs": [], "source": [ "long_df_adni1_mci = pd.merge(long_data, df2[['RID','flag_status','f_s1_only','f_hpc','f_s1']], how='left', on=['RID'])\n", "long_df_adni1_mci.dropna(subset=['flag_status'],inplace=True)\n", "long_df_adni1_mci.drop(long_df_adni1_mci[long_df_adni1_mci.Month==30].index, inplace=True)\n", "long_df_adni1_mci.reset_index(inplace=True, drop=True)" ] }, { "cell_type": "code", "execution_count": 75, "metadata": {}, "outputs": [ { "data": { "image/png": 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oMzIyQp8+ffDPP/8gJSVFqi07O1s41tbWrvQaOjo61Z6Ya2tr4/Dhwzh69ChOnTqF+/fv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\nd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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.close()\n", "fig, ax = plt.subplots()\n", "fig.set_size_inches(11.7, 8.27)\n", "sns.pointplot(x=\"Month\", y=\"ADAS13\", hue=\"flag_status\", data=long_df_adni1_mci.dropna(subset=['ADAS13']), \n", " dodge=True, palette=\"Greys\", ci=\"sd\")\n", "plt.ylim(0, 50)\n", "plt.show()\n", "#fig.savefig(path_results + 'adni1_mci_adas13_long.pdf',bbox_inches='tight')" ] }, { "cell_type": "code", "execution_count": 76, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# save dataframe\n", "adni1_mci_adas = long_df_adni1_mci[['RID','f_s1_only','f_hpc','Month','ADAS13']]\n", "adni1_mci_adas.to_csv('/Users/AngelaTam/Desktop/adsf/adni1_vbm_adcn_subtypes_20171209/7clus/adni1_mci_adas.csv',\n", " index=False)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## % of progressors " ] }, { "cell_type": "code", "execution_count": 77, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "observed freq: \n", "[[ 89 24 9]\n", " [155 102 65]]\n", "Chi2: 23.1170383113\n", "p value: 9.55430083485e-06\n", "degress of freedom: 2\n", "expected freq: \n", "[[ 67.04504505 34.62162162 20.33333333]\n", " [ 176.95495495 91.37837838 53.66666667]]\n" ] }, { "data": { "image/png": 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XJs+JNpfwWI1l6Ap2t+ostcIlJWd/5cKej32mkVp7YDWVXbywizZsrqA6s56s\nHf/CbjV7OhShicyaC+hVR6EN/ii3BarT67iw5xMke9v6fNtUwmPRFaAr2otkFxceVyo7v4vz2/+J\n3SY+Z29nNajQFe5DEg0xXaoi5yCZ2/4hzok2oDR9KzrVMTw94KyvKzu/i+w9C9pU0tNmEh6zJhu9\n6rDI2N2kMu8oGZvnYTOLKhJvZdHloys6CJIojXMHbWHqxRsBkVx6q+KTa8jZ9ynFZ/Zib0M/xG1V\nedZesnb9u83UCLSJhMeiL8JQmurpMNodXfFp0jf9BZtF1IF7G2eRPeKi7k6a/ONk7fgQu83q6VCE\ny6hOryf/6LcAGEozKUk7hF20R3S5igv7ydr5LyS7958TXj+1hM1cibZgD0je/2HWx5umlmiJ8MRh\ndB/3spho0UtYdPmO8UTaMK+ZWqKFwpOuofuNL4hzwkuUZ+8na+d8Lq/GCo0fQGyv4cjksnq3nTf/\nR3LyVXz6z7k1nt93+CyLv9/MmfRc5DIZg/p1Zc6jUxncv2uj8TRlW73BxLsfLGXPoTN07hTLY1MS\n6RVbs/TwtyMlrNuvYv6T/ZA38B68QVSPG+k6+o+eDqNBXn222q1GdEUH2nSy4wsq85LJP7LE02EI\nOG4A9CXHPB1Gu1eZe5i8I//zdBgCoC0+Q/aej6irzY626BSl51Pq7Xn6868H+PnXA7WeP5qSwbNv\nfIFWZ+DJR29m9oOTyS0oYc6LCzl5puFEvanbfv3DFg4mn2POI1NJiI/i/f8dQ2e8VDVksdr5aXcx\nd46J9/pkB6AscweFKSs9HUaDvDbhkexWdMUHRM8TL6E6s57Sc5s9HUa7JtnM6IsPiTY7XqLkzAZK\n0n7zdBjtmrEyn/Pb/4nUQLsqTX4K6qxTNZIem83OF9/+xt/+vaLObf716c/Ex0Xw1X+e4f6ZY3lo\n1ngW/+cZggKU/Pfrhsdmauq2m3Ye587po3jgzht59+X7MZptJKdXOl/fnFyK0l/ODYOimvpxeFzh\n8eWUnd/j6TDq5ZUJjyRJ6FVHsJsrG19ZcJvcg1+iKTzh6TDaJUmS0JccFePseJncg1+hKRDtCz3B\natKQueV9bCZNo+tW5h6lPCcNSZIwmS089Mf5LPrmN26eOJwOsRE119XoOZdZwKSxQwkMvDRbeExU\nGMOG9CTlVFb9x2nGtqqSCjp1jAYgJDiQsGB/SisdiZvZaufnvW2ndOcSiQt7F6ItPuPpQOrklbOl\nG9UnsBrE/E7eRrLbyNrxL/rcPI+A8ARPh9OumMrPYDWoGl2vvvYIx06cZ+FX6zl9Lpfw0CBuHDWI\nxx+aQmRESKP7zCss5T+LfuEVSuf4AAAgAElEQVToccfQ/KOvH8Czj99KVGSoc53L2yO89NRMrhrU\nvcZ+Vvyylx9W7WT5Fy815S23DZKNrJ3/os/N7xMQ3tHT0bQrF/Z8gllb1OT1y7MPIpP7oYjshE5v\nZN5rDzL5xqu47eF5NdYLCQ7kxy9fIqhawuLcR4UOhUJR7zGas21kRAhanaNDiN1uR2+0Eh7seH3T\nkVKClApGD4ps8vvzFpLdQtb2D+h76wf4B3lX/F5XwmOqzMKsyfJ0GEI9bGYtmdv+Ibqru5FFl4+p\novH54uprj3DkeDp/fOVTLuSqePTeicyaMZqtu1J4/PlPqNQ0/Hcsr9Qx96VPOXH6Ag/dPZ7777yR\nXftP8tSri7BYLrWtu7w9wgtvL0ajvdS7z2y28vXSLfz+gckoFF532bkiNrOOrF3zRc8tNyo+vY7K\nvKPN3q7s/F6sFUWs/OoVJt94VZ3rKBRyuiTGERdTs+TnXGY+KaeyGDKg/kbLzdl22OAerP3tEJnZ\nhfywaidWm0T/LqGYLXbW7CvmrjHxyGVtqXTnEqup0jEwoZf1ifKqK4/dosdY1rYnJ2sPTJX55B76\nytNhtAs2s6bRRsqNtUf4YOFPyOVyvpj/FL+/fxKP3juRT/85l9yCUr76YUuD+/5+5U6KVRV88o8n\neOSeCfzu/kn8/Y2HOZeZz7pNlybXvLw9gt5oZs/B087XV2/YT2CgkinjhzXj3bcdBvV5CpK/93QY\n7YK+NJOCo9+1ePvyzF0YSgqbd0yDiXf+uRSAR+6Z0Crbznl0KhaLjXsf/4CPvlzHI9N60zE6gI2H\nSwgNVDByoHeVjjSXpuA4qtPrPB1GDV6V8BjUKaJBZhtRlrlDzCbtYpLd2mgj5cbaI+QXqsnIKmTa\nxKtJ6hTrfL5blw6MuX4A6zY3/DfctOMYw4f0pHuXeOdz1w3vQ9ekOH7bcSkRu7w9QmR4CMUlFc4Y\nlyzbymwfLN2pTnV6HZoC0cbNlWwWw8WB7q6sNK0kbSvakqZVhxmNZp5/ezHnMvN55O7xDB/Ss8nH\naWjbxI4xLPv8Rf738bOs/e5Nbr2hK0azjTX7VNw1tiNymYydKWr+/N8z/HHBKX7cUdjmxhUqSP4e\nvTrL02E4ec3Vx6zNbVIbBcF75BxYhNWk9XQYPstYntbonHFms9XZHuGdF++rlVCoSh1JR89utduX\nJHWKobxCR1FxeZ37rtToySsopV/vxFqv9e2VxOm0XOfy5e0RtDqDs33QqrX7CAkO5KZxdVch+A6J\nC3s/EdW9LpR/5BvMmuaVztRHdfo39OqGZ1HXaA08/doijhzP4NYp1/HkYzc3ef9N2dbf34/+vZOI\njQ4HYOPhUsJD/BjRP4IclZGFa3KYem0sf7gliQ2HStiWrG7em/QwyW4le9d/vGYeOq9IeOw2E0b1\nSU+HITST1VBO3uGvPR2GT7JZdJgrzze6XkhwQIPtEaoaT+oNplqvVVxsv1NaVndvyKpk6fJSI4DY\n6DB0eqMzybm8PYLFamPYoB4YTRaW/LiN3z8wGXk7GKTPoi+l4NhST4fhk3Sqc5Sea7gKtrmKTv5a\n71xQ6nINT770X46fzOKOaSN448+zkDWxTU1LtjWYrPyyv5hZY+ORyWTsP1VOfJSSKdfEclXPcEb0\nj2DvqbpvTryZqTKPwtS6q9vdzSuuQEb1KTEhaBtVlrkTTaFIVlub4wag8Wkj5HI5fg30GuneJZ6Q\n4EC27k6t0YDQZLaw//DZi4/rrh7Q6R1JUkBA7R4nAQH+ABiMjvP28vYIz8yeTufEWFas2UN4aDCT\nbxza6HvxFSVpv2HwomJ8XyDZ7eQe/ILWnxBUwmY2YLfWrDbW6Y0889rnpGXkc9/Msbz6p7uanOy0\ndNt1e3OICvXn+n6OG4wKnZXwkEsdqcOC/FBr2uY8bqpTv2Asz218RRfzeMJjMRRj0Xn+gxBaLvfA\nF6KHSiuyGIqxGpre3bYh/v5+3H/nWM6cy+XNv39P+vkC0jLyeOWvSzBeTFbqa1dTlSA1dK2uupBf\n3h7hvpljMRhNfPPjNmY/6CjdWb/5CLN+/w9mPPQeP2w82+baIzSZZCf34JeejsKnlJz9FYO68RLP\nlpEw60oxai9Vz//fx6tJy8jn3tvH8OcnZjRrby3ZVqsz8vOubO66WLoDEBnqR2mFxXkeFpebiQ7z\nb1Ys3kKy27zinPDoODyS3YqhNMWTIQitwFSZh+rUL8QPvsPTobR5kmRv9erd398/CY3WwPKfd/Pb\n9mQAxowYwEN3j+eTxeuJCAuuc7vgoAAATKbad5VVz4UEBzifq2qPUGX5z3uIigxl0tihZGQV8pcP\nlvLC3NtJ6hTL6+99TbhfPBOHx7Ta+/QmOtVZ1Jk7ie4x1tOhtHkWfRkFx5e59iCSROHxtSRcdSv5\npVo2bDlCaEggfXp2YsOW2vPW3TzxagDyCkovdjfvRmJCDOcvFDV52+qWrt5JbEQA1/W9VH18Xb8I\nVuws4rO1uXSIUnLwbAW/m1q7PV1boS06SfmFg0R2uc5jMXg04TFVnEOyipm4fUHxqTXE9puKwj/I\n06G0aWZNNnZL6zYEl8vlPDfnNh65ZwI5eSXEx0WQEB/Nwq82oJDL6Rhf99D1HTs4ni9R1x7JtkRd\nSVhoEEGBAbVeA0eboe9W7uDlp2cik8nYsus4SQkxzJoxGoDRQxPYe0rtswkPQP7Rb4nscj1yv7o/\nI6FpCo4vw25x/e+EZLdQeHwdhwodPRK1OiPvflh3olWVtCSnZvLuh8t46/l7SEyI4WhKRpO3raLV\nGfhh9S7+eEefGqWpXToE8cT0zqzcVYjpnMStI+IYf1X0lb5Nj8o/8g3hicORKzyTerT4qKdPn27w\n9Z49e6JU1q77r2K3mTE1oVGm0DbYzDpK0n4jfuBtng6lzbLbzJjKz7b6fjduSyY2Ooyrh/YiJirM\n+Xxyaib9eicSoKy7mDwsNIhOHaM5m167yvlsel6N0pzLLftpN7HR4Uy4YQgA6jJtjZGZw0KUbbY9\nQlNZDeWUpG2iw4Dpng6lzTJpClFn7HDpMT5+eoDzsd1m4voEFXt+nod/Pcl8ddNvupbpN13rXL5z\n+ijunD6qWccPDQliy8q/kpe8EbO25gwD46+KbvNJTnVmbRFlmTuI6T3RI8dvccJz++23N/j6li1b\nSEqq/4JorjwvxtzxMapTa4nrdzNyRf2JrlA/U/lZJHvrJwE/rNqJ0WTm2/8+52zgvPvAKY6fPM/b\nL9zb4LYTbhjMD6t3kXWhmG5dOgBw8Gga2bkqHpw1rs5ttDoj363cwevPXuqZEhsdxu4DjgkcZTIZ\nRaX6NtseoTmKT60htu9N4pxoocKUFW7/nbBbDRQcX0fC0On41zFFhHBlik7+RHTP8cg80GvTI42W\nJbsVs0aU7vgaq7GC0nNbPR1Gm2S36jFrsl2y74fvHk9mdhHPvbmY1ev3s3Dxel756xJGXN2XqROG\nO9fLKyhlw5Yj5BWUOp97aNZ4IsKC+eMrn/Ldyh189cMWXnlvCf16J3HzhNptEcDRHiE+LpJxowc5\nnxs3ejCq0krem/8ji7/fzL7UQka18ZFkm8JqKKc0bbOnw2iTTJpij828bTPrKEhZj9Xs26WQnmDW\nFFGW5Zm/a4tLeM6ebXnRu1mT5ZI7WcHzik/+TGyfScjkXjkvrdcyVWbR+l1uHSaMGcJ7rz7A/5Zt\nY/6nPxMdFcaDs8bx6D0TavTQurw9AkBUZCiffTCX+Z+tYdGSjQQG+HPjqEE8M3s6SmXtv3FVe4Q3\nn7+nRlfcXt0TeOPPs/jiu03sNpq5Y3xPxl/VPtp7FZ9aQ0yfycgVvl+i1ZqKT/7k0VoAm0lDQcpG\nOg2disJfXM9aU/GJ1UR1v6HJXf1bi0xy8+xekiShyd2MZDO687AeVXzmADpVmqfDcJvOI+cQ06t5\n8820Z5LdhiZ3U7u6CSg4sQNj2QVPh+E2XUbNJbrnOE+H0WZYTVpOrnwCyeb5c8I/JJaEwZNdnvTU\n1YbHl3W78Xkiu1zv1mO6vUrLqi9oV8lOe1R84ud6Ry8VarPo8tpVstMetfYIwb6uLHOnVyQ7ABZd\nCYUnt2Kzijanrank7G9uP6bby+lMmizn40PHzrFoyUbOZRYQEhzAxDFDmfPoVOf4HwBl5VoWfrWB\nXftPYjJb6NsrkT/+7hYG9+/a6LEeffo/nErLqfX8hBsG8/c3HwEc3Wff/WApew6doXOnWF56aiZX\nDepeY/0Vv+zlh1U7Wf7FSz49+WFrMWkK0BSmEN7J1+dOah2G8nRPhyC4mE51FkN5DkGRnT0dSptQ\nmu5dCaJZU0TRye10HDQOeQMjmwtNpy06gVlXgjIktvGVW4lbEx6buRKb0dEg8vCxdJ5+dRH9eiXx\nx99No0hVzrKfdnH6XA6ffTAXuVyOTm/kiRcWoiqt5L6ZYwgPDebHNXuY+/KnfL3gGXp2S6j3WJIk\nkZVTzI2jBjHhhsE1XqsaXwTg6x+2cDD5HHMemcrRlAxeeHsxq//3GmGhjvYFZrOVr5duYe5j00Sy\n0wzlWftEwtMEevV5zu/4nLCOAwjt2JOAkFC312sL7lF6bjNJ1z7m6TC8nk6VhrG89o2qp5kq8yk6\nvZv4/mOQi9+CKydJqDO203HIXW47pFsTHosuz/l4wee/EB8XyacfzCXw4rw8HTtE8n8fr2b/kbOM\nurY//1u2jexcFf/95xyGD+4JwKQbh3LHo++zZPl2/vLSffUeK79Ijd5g4saRA+sc2bLKpp3HuXP6\nKB6480Zuv/l6Js96mz0HTzt7r6zesJ/AQCVTxg9rjY+g3ajIOYRk/4NovNwIdcZ2kGxoClLRFKTi\nHxRFeNJQgmMS8BMNJX1KWeZOOg1/QHRRb0Rpuvf29DSWXaD47D469BvZLibDdTV1xnbiB9/ptps8\nt/7FLHrH/EAms4XIiFBuv3mEM9kBGHYxqTmXWYAkSazffJjR1/VzJjsAsdHh/OkP0xl2WbXT5TKz\nHMeqGjukPqqSCjp1dAzsFBIcSGR4CMUlFc44lyzbyuwHJovSnWaymbVoClI9HYZXkyQ75Vl7azxn\nMZRRem47OfuXUnz2EMbKCiS7j8451c7YzDoq8455OgyvZreZa50T3sZQmklJ2iHsop3iFTNri9EW\nnXLb8dx2C2m3GrBbHEPUByj9WfC3P9Ra51xmPuCocsovUlNcUsFDFwc3kyQJg9FMcFAAd906utHj\nZWYXAtCts2OYcIPRVOcw+JERIWh1jmHL7XY7Wp2ByIgQAFat3UdIcCA3jRNVMy1Rnr2P8ERRMlYf\nveocVmNFPa9K6IrPoCs+gyIgjIjEoYTEJeFXz6jIQttQcWG/R+cS8nbawpPYrd7fqUWnSkMm9yO2\n13BkclEFfSXKs/cR1nGgW47ltoTHaqi/u11BkZojxzP496Jf6NmtI+NGDyI5NRNwjAOy4PNfWL3+\nADq9kaSEGP48ZwZjRjT8AWVmFxISHMC/F61h847j6A0mEhNiePLRqdw07tKP8LDBPVj72yFGX9ef\nfYfOYLHaGDaoB0aThSU/buPZx2eIossWclRrWUW1Vj0qcmtPLFgXm0mDOnM36kwIjulJWKd+BIZH\nIRcX2janIvcokt2GTC4avtalqeeEN9AWnUKm8COmxxDR7u4KaPKS3XYst/0SVVVnXa6iUs9tD/8N\ngMAAf16YezsBSn80Wkepy2f/24ifn5znn7wNuVzOtyu28+JfvmbBvD9w3fA+9R4vM7sInd6EVmvg\n7RfvRas1sPSn3bzx/ndYrXamTXK065nz6FSefmUR9z7+AXK5jD/94VY6J8by7Y/bCQ8NZvKNQ1v5\nk2g/bGYdmoIUwhOHN75yO1SZe7jZ2+hLM9CXZiD3DyY8cSihHTrjHyAmp2wr7BY92uLThHUc1PjK\n7VBl3lFPh9AsmvwUZHI/orsNEElPC5l1KowVeQRGuH4meLckPJJkx2osqfM1mQzmvfogFquNZT/v\n4qlXFvHeaw9gsTjGPNDoDKz48mXCw4IBGDNiAHc8+j6ffLW+wYTn9puvx26XnLMzA0weN4z7nviA\nBV+sZcr4YSgUchI7xrDs8xdJzyokLiac2OhwDEYT3/y4jRf+eAdyuZz1m4/w1Q+bMZktTL/pWmY/\nMFmU+jRRefZ+kfDUwaQpwlhRe1LOprJb9JRn7aM8ax+BUV0I7zSQoIho0XukDajMOyoSnjoYyrKx\n6Or+nfBmlblHkSv8iOzcRyQ9LVSZl+yWhMctV0ebsbTeIcLDw4KZPO4qpk26ms8++CMd46P492e/\nEHRx0rbxowc7kx1wzOA8dsQAzpzLQ28w1XvMO6ePqpHsgKME6eaJw1GXaTh/4VKJk7+/H/17JxEb\nHQ7A8p/3EBUZyqSxQ8nIKuQvHyzl7ttu4NU/zWL5T7tZ8+vBFn8W7Y226LSnQ/BKmvzjrbYvY9kF\nik9uIOfACtRZpzEbDK22b6H1aQvd10izLanMbVulO9WVZx+kIi/T02G0WZp89zTmd0vCY2mg/U51\ngQH+3HB9f4pU5cTFOpKPqMjQWutFRYYiSVKDCU99oi/ur75t9QYT363cwR8eugmZTMaWXcdJSohh\n1ozRjLymLxPHDuW3HaKnRVOZtUVYTVpPh+F1dCWtP9WI3WaiIucweYdXkH98M9qSIuw20ZPE2xjK\nsrFbm3/t8nU6VcvnZ/QGZef3UlngmgmAfZ226DR2m9nlx3FLwmO9rP1O1oVibnt4Hit+qT1jql5v\nQiaT0a1zB5T+fs7eVtXlF6oJUPoRFVE7GQIoLqngnj/8ky++rT10dVaOCsDZFf1yy37aTWx0OBNu\nGAKAukxbI+mKCAumpLSynncq1MWgFnc+l9Orzrl0/6bKAlSnf+PC/mWUZqZi0ulw87R5Qn0kG/rS\nDE9H4XV84TMpTd+Jpiiv8RWFGiS7BYM6y+XHcXnCI9ks2K26Gs8lJcag1RlZtW4/FovV+XxBkZqt\nu1MZPrgHoSFBjBkxgN0HTpORdSnpySssZdf+U4wdOajesXE6xEag0xv5acMBtLpLXRyListZt+kQ\nVw/t6ay+qk6rMzpKdx68yVkXGxsdRmFxmfPHIr9ITVxMRMs/kHZIXyoSnuqsJi0mTYFbjiXZrVTm\nHSP/6CrykzeiKc4TcwJ5gfY0mXBTmHUlDQzR0LaUpG1FW1J3Jx2hfvoS10+xo3jnnXfeceUBbBYN\nFm3NWZHlcjkdYiNYtW4fB5PPYTZb2XfoDH/794/YJYm/v/kw0ZFhDOjTmQ1bjrBu02EsFhsnzmTz\n9wUrkYC/vf6Qs21PXkEpew6eJjgowPlcp4QYftpwgF37T2K12jmQfI55//4RJIl/vPVInaVDS5Zv\nRVVayXNP3uZMeMLDgvnmx+0UqsrJOF/AqvX7eOju8fTrndTkz0BXkodFX9rCT7DtUyhDiOo20tNh\neA1t0QnKzu92+3FtFj360vNU5J3EarKiUIaiUCo90tBSW5ztMz9wLSH3CyCqe+PjibUXmsJUyrP3\neTqMVqMvyUAZlogyKLjxlS/SFGZgM+saX9FH+QWGu3yMKpcnPFZjKVZ97bvZ3j060a1LB46lZrJh\n6xHOnsvj6qt68d6rD9K9i2OwwLDQICbcMIQL+SVs2HKE5NTzDOzbhXmvPUiXpDjnvnbuO8lfPlhK\n356J9OnpaOndrXMH+vTsxMkzF/h161FOp+Vw1aDuvPfKpf1Xp9UZeP397/jznNtqvB4dFUbHuEjW\nbjrE8RPnufu2G3jgzrHN+pFo7wmPZDUR1/8WT4fhNcqy9qItOunBCCTMWhXawjNoVReQyYLwCwxx\naw+v9p7w2G0WOohzwkmdsROd6oynw2hVOlUGARFJ+AcGNWn99p7wAMT2ucml+5dJLq7YN5anYSpv\n243RrlTxmQPtvgh70N1f4hcQ5ukwvEL2nk8oy9zh6TAuIyMkrjdhnfoSGBrh8tFjC07swFh2ofEV\nfZVMxpD7vkOuEINyAmRs+Zvbeuq4lUxOwpDpBIY33gwiL3kjZm3TOvj4IpncjyH3fePSQTldfktn\nt7TvjFVwEO14LjFrvbF+X0KnSqPw+C/kHP6JirxMrGbX95potyTJS78HnmHW+OhnIdkpTF2HUSN6\nqjZGslsx61QuPYbrEx6r3tWHENqA9nzncjmTl1/cbSYt6sw95BxYRuGpPejL1GKiRBcwaWr3QG2P\nJMnu8h86T5LsNgpT1mLSiZv/xlj0apfu3+XlqZf30BLaJ6uh3NMheAW71YTVUObpMJrMUJqJoTQT\nuV8Q4UlDCI3rgn9goKfD8gki4XGwGiqQ7NbGV2zDJLuFwuPrSLjqVpTBTWvT0x5Z9K69Nrq0hEey\nW5FsYoAtASxGkfAAbfZO1m41UJ51gNxDP1KQuh1dqQqbKPW5IhZd++3IUJ3F4Nq7em9ht5koOL4O\ni8H7Z4P3FFd/F1xawiOqs4Qqrs7c2wqrUePpEK6YsTwHY3kOMoWS8E6DCe3QXdy1tkB775FTpT1d\nG+xWAwUp60kYOh3/i9MnCZe4ukrLpSU8dquY00dwEBd3B1/6HCSbmYqcI+QdWUH+sU1oVYXYxaCG\nTWaziBtC8K1zoilsZh0FKeuxmi2eDsXruDr5FX0iBbewW0TyC777I2fSFKI6U4hMriCs4yBC43ug\nDAkRs0c3wGb2ze9Cc9lt7e+H32bSUJCykU5Dp6Dw9/d0OF7D7uImMO4baUxo12wi4QHAbvXt+nvJ\nbqMy/zj5yavJS96ApigXm8W3G6S2VHsr2aiP5IZJI72R1VBGQeomcX5UI9ldW0Ls4hIecXcnOPhq\nyUZz2a3t5+Ju0ZVSkrYNZDJCO/QnLKE3AaFhotTnIl9PfpvK13toNcSiK6Xw5FY6Dpro6VC8QttO\neMR1DWifRbaXk4kvg0N7/LGXJLRFp9AWncIvMIKIpKHYLeLHXnCwt9MSnipmTRFFJ7djt4oezZLU\nlhOedk6SJMpzz2FQn/d0KB4n9xe9eADk8vZ9ylmNFZSm7/R0GN6hPSa/dXD1XX1bYKrM93QI3qFN\nl/C047t6u91OacZxtIUnPB2KV5D7i8HqwDFfjCCA+C5UkfsFeDoEoZ1w6RnXXtMdu9VG8Zk9GMqy\nPR2K11CIEh5A/MgJl8jloncOiGuDcIlCGezS/Yurbyuzmi0UndjSZkfUdRW5n7ioAcgU4kdOcBAl\nGw6iuluoolCGuHT/okqrFZkNBgpTfsVmFjPjXk4hqrQA8FOGejoEwUv4BYZ7OgSvoPB37V290HYo\nXHx9dG2VlqL93MEYKispOrEeSfTIqpO4i3PwC47ydAiCl/ALEt8FENcG4RJFQBtOeNpLNYa2pAjV\nmU0gSZ4OxWsp/EQJD4B/cLSnQxC8hL9IfgHwD4zwdAiCl2jTVVoyuR8yuRLJ7pvjLEiSREX+ecoy\n97T6vit1Vn7YVsCRc5WYLXa6dwzivgkJ9Em69IU4cV7D8h2FZBcbCQqQM6J/JPeO60igUtHo/l9b\nnEZGfu3Rj6/vF8Fzd3UDwGi2sXBNDsnplXSMDuD3UxPp16VmBv7bkRLW7Vcx/8l+yOX1V2H6BUU2\n8Z37Nj9lCHJFgMuHUBe8n78o4QFAGdYBR/MHccPY3ildfEPo8kbLcr9gbGbfS3jskoQ6MwVNfkqr\n79tgsvH2knTKtBZuuS6OkCAFGw+V8NdvM5j3u9506RDEiSwt732fSY+EIO6fkEBppZn1B0vIzNfz\nziO9kDcwxockSeSVmLi2bzjX96uZiMRGXGpUu3p3MannNdwzLoFT2Vr+b3kWHz3Vn5BAR0Jlsdr5\naXcx947v2GCyAxAU1eUKPhHf4hcchVlT6OkwBA/zFzcBAMgVSvyDo7HoSz0diuBhyrCOLt2/6xMe\n/2Bs5nJXH8at7DYbqrP70ZdmumT/P+8tpqDUxFsP9WRAV0eJyqgBkTz98WnW7FPx1G1d+HZzPrHh\nSt55qBdKf8eUaDHhShb/msfxDA3DetXfIFJVbsZotnNNnwjGDK7/LnPfqXImXx3L9BFxTBwWze8/\nPElyeiU3DHJsszm5FKW/3LnckMDIrs35CHxaQFi8SHgEAsITPR2C1wgITxAJj0CAixMel08eKvcP\nc/Uh3MpmsVKQusVlyY4kSexIKWNY73BnsgMQGerPg5M60b9zCGarnfBgPyYOi3YmO4Bz/QvFDQ/b\nn1PiqE5JjG24UblaY6FDpBKAoAAF4cEKSisdjbLNVjs/7y3mzjHxjZbuKJQhKENiGlynPQmKEslf\ne6dQhopzohpX/9AJ3s8/ONrlYzK5vIRH4UMJj8VoojD1V6zGSpcdQ1VuRq2xMGNkHOBIgEwWO4FK\nBVOuiXWu99r9PWptm1XoaJMTG97wWC+5KkdClBjraEhsNNvqbPcTFuyH3uQY6tsuSehNdsKDHett\nOlJKkFLB6EGNF8sHRorqrOqCorp5OgTBwwJFFW8NAeEJng5B8LDAiM4uP4brq7SUvjHWhFGjpSh1\nvcsbmxaoHe2dwkP8+HZzPpuTSzGY7MRHKXlkcieu7lO7R4Oq3MzJbC3fbM6nc1wg1/ZruNdDTrGR\nIKWcJZvy2XeqHKPZTnykknvGd2T0wEvVU/27hLD9uJrhvcJJzqjEarPTv0soZoudNfuKeXhSpwbb\nClUR7XdqEgmPECRuAmoQ54QQGOULCY9fMMgU4OJZUF1Jpy6h+NRGkOwuP1ZVicry7YUoFDIevSkR\nuQx+2a/inz9m8dp9PRjS41KpmdZg5amPTwMQ4C/nsSmJKP0arqnMKTFiMNvRG238cUYXdEYbGw6p\nWLD6AjabxNghjpby947ryHvfZ/L8Z2eRyeChSZ3oGB3AL/uKCQ1UMHJg0xpdihKemgLCOyFT+Isx\nm9oxUa1ZU3BsL8dkqmJoj3YrJK6fy4/h8oRHJpOhCIjCZixx9aFanSRJaAovuHV2Z4vVkVTpTDb+\n/WQ/QoMcf6Kr+0TwzATdSkQAACAASURBVCen+WFbQY2EB+BPd3TBapPYcKiE977L4E8zuzKif/3J\nyKRh0dglalSRjR4YyQufneXbLQXcMCgKuVxGh6gA/jWnLxeKjUSH+RMZ6o/RbGPNPhW/m5qIXCZj\nZ4qa1XuKMVvsjBsazZ1j42uV+oiLe00yuZyg6O7oVWmeDkXwkJAOfT0dgldR+AcRGNEZY/kFT4ci\neISM0Pj+Lj+KyxstA/gHx7vjMK1Kskuos065NdkBCFA6/iTX9Y1wJjsAIYEKru4dzvkCA0bzpdKy\n0CA/Rg2MYuyQaP7ycC/iIpQs2ZTf4DEmXx1bI9kBUPrLGTM4igqdldySS42e/RRyeiQEExnqaBe0\n8XAp4SF+jOgfQY7KyMI1OUy9NpY/3JLEhkMlbEtW19ivTKEUCU8dQuMHeDoEwUP8g6IIjEjydBhe\nxx0/eIJ3CoxMwi/A9e193ZPwBLWthMdmt6NKO0Bl7lG3Hzs6zJFYRITULnyLCPFDAozmuqvWlP5y\nhvcOp7TSQqXe2uxjh188Zn37N5pt/LK/mFlj45HJZOw/VU58lJIp18RyVc9wRvSPYO+pmkMQhCUM\nFpMk1iGs4yBPhyB4SGjCYE+H4JXETUD75a6/vVsSHrl/CHL/tjFpos1ioyh1GzrVOY8cv3NcIP4K\nGTmq2o2ji8vN+PvJ0BhsPPXRKTYerl1NaDDbkAH+irobE6srLTz/6RlW7Kw9Dkx+qeOYVV3RL7fh\nYAlRof5cf7FRdIXO6kySAMKC/FBrarZLiUi6tu432s6FdOiHTFH35yz4NpHs1i00fiDI3PKTJHiZ\nkA7uKd1z27fLrw2U8lhMJvKPr8dU2XCVkCsFKhVc3Seco+cqyVFdqloqLjNxJK2Sa/pE0CkmAL3J\nzuajpVhtl0pjVOVmDpypoH/XEIIC6p5eIjrcH73JztZktbOBNEBJhZkdx9UM7BrqrL6qTm+ysfaA\nirsulu4ARIb6UVphQbrY0LC43OwsoQJAJiM86eor+jx8lVyhdFzghXYnNGGIp0PwSn6B4YS66YdP\n8B4yuYIwN50TinfeeecddxxIJpNj0ea441AtYtLpKDi2DptZ6+lQ6NkpmF2pZexIKcNqkziXp+fz\n9XkAPDuzK2HBfkSH+bPpaCmp57VYbBLH0itZtC4XSZL4853diAhxJB5FZSaS0zUEKuXONkHxUUq2\nJKs5cq4Sm10iJVPr2BZ4blY3woNrV6f9vLeYMq2FR29KdCY8oUEK1uxTUVpp4YLKyOajpcwY1YEe\nCcEAhMT1Ja7/zW74xNomu9VAZZ77q00FzwmK7k78wBmeDsNr2SxGNPnJng5DcKOwhKHE9p7olmO5\nL+FRBGHWnHdL1+7m0pepKUxZ5zWTnIYEKri+XwQFZSZ2pZZx+oKO3p2C+dPMrnSKcQwW2DU+iKTY\nQE5f0LErtYzzhQYGdgvlT3d0Iynu0szkh9MqWbgmh24dg+jW0TGKZWJsIN3ig0jP07M7tYzMAgP9\nuoTwzB1dSYqtPau53mjjP6sv8MhNic7BCgEiQvyJCVeyI0XNmRw9U691TENRlRDF9ptKaAfXdzVs\nq5ShHVCdXie64rYjcf2miXOiAcrgaMc5IbQb8YNnEhzdzS3HkkmS+662etVRLLo8dx2uSSqLcihN\n2+7pMHxSvxn/JjCiU5PX/+ijj/j4448BOHv2rKvC8iqZW/8uSnnakf63f0RAmPdX73vSuV/fRKdq\nH+d/eyeT+zFw1uf4KUPccjy3thDzC/ae+VIkSaIs+4xIdlwkILxTs5Kd9iqq+xhPhyC4SUhcX5Hs\nNEFEl+s9HYLgJmEJQ9yW7ICbEx7/oA7I5A3P8+QOdpuE6txhyi8c8nQoPiu6x1hPh9AmRHS+Brlf\n7WpEwfdEiXOiSaJ7jEWm8PzvhOB67r7hc/lIy9XJ5H4ow7pjqvDcCLM2q43i07swlntvA+q2Tqbw\nJ6b3JE+H0SbI/QKI6n4Dpec2ezoUt8os0PP91gLScvXIZdC/aygPTUpwtlG73GdrcyhUm3j74V5N\n2n9xmYklmws4le3ohDC8dzgPT+pUYxgFo9nGwjU5JKdX0jE6gN9PTaRfl5rDZ/x2pIR1+1XMf7If\ncnnj88bVR+4fLErzmsgvMJyobqNRZ2z3dCiCC/kHRRHZ1b2leW4f9EAZ3s0xt5YHWE0WCo7/KpId\nF4vqNhq/QN+YNNYd4vpPA1r+Y9rW5Jca+cs3GVwoNnLnmHjuuCGe9Dw9b/0vvdY4TgBbk0v/v707\nj46rvu4A/n3vzb6vGs1o3yzZsixbtuXdlrcYMBDHQNgMLWlp0wYnBbLgkKQ0STfSJnCgC6dtkuI0\nhBAMBMeEkJhgG294X/EmS7K1jjQazWj25fWPkWTJkqxdb+bN/Zzjc6TR6OnOOX4z9/3evfeH3Sdc\nQxxpaF5/FN/92RVcbvThs0szcOdiK45e7ML3f35lwBiHt/a14fRVL+6vscOql+H5X9bBF7wxqiES\njePtfW24Z4VtQskOAJhL1oCT0kreaFlKbxM6BDLFzKUbwLDTuuYyvSs8AMBycsg0OQh766b174b8\nfrSeeg+xiH9a/246GunNyu12o7m5edDjTqez7+vz588P+rlKpUJenvi2qVDos6HLmgtPY3q04+46\n1I5gOI7nHi1CQWZihEF5vgbP/vgSdh1yYsu6RO1XPM5jx75W/GpP65iO/5tDiVEJP/jL0r6uw2KH\nCn//81p8dLITa6vMAIAD59xYPz/RWbh2ngl/9q9ncfyyB8tnGwEAvz/eAZmU7ft+3BgW1lIazzAW\nKnMhVJYS+NuFGQBLphbDyWAR4C7AtCc8ACDXFSHsrQcwPQ1igS43Ws+8Bz4+9u0WyNhoMiugMhfe\n8jm7d+/Gtm3bbvmcTZs2DXqsuroa27dvn1B8yco68860SXha3SFoVVxfsgMkEhKtkkNDW2LYZjga\nx7M/voSGtiBWVhhxpm7087H2n3VjVp5mwIiFOYVaOMxy7D/n7kt4XN5I31RxpZyDTsWhwxPp+/vv\n7G/Dw2scE17dMeRWQ6axTugY6chadjvq91HCI0bGguWC3AUQJOFhpSpI1Y5paVHvdjbB+eluTFdy\nle5sFZ8TOoSUpLVXQGnMR6CzTuhQppzdJMfpq93w9NuapDsQhS8Yg0GT+D4S5REIxfE3m/OwZJYB\nT7x0blTH7g5E0eoOY9FM/aCfFWQqceyyp+97rUrSN208zvPwh+LQqRK32z842gGljMOy2YYJvVYg\nkcySsTPkLUHLyTcQ8g5eDU5Ft6pba3OHsfXlwava/X1nSxHK84ffoqnFFcLP/tCEs3XdiMZ4FGep\n8NAaO0qybnRBxeM8/vu969h3xg2TVoKH1jhQXTbwXDl+2YOX3m7Ay0/MhEoxFeUnDKwzN07BcUcm\nSMIDAHJ90ZQmPDzPw339Mtx1B6fsb5CBVNYZo9onaPPmzdi8efOgx9NxDk9/mZX34eoffyB0GFPu\n7iUZOHrRgxffqsej6x1gGGD775sg4RjcXm0BACjlLF78Uhm4Ma6u9NYADdjipIdBI0UgFIc/GINK\nwWFmrhp/POlCVbEOx694EI3FMTNXg3Akjl8faMOj6xxgmYmt7uiy50NtnTGhY6QrhuWQOfd+1O99\nQehQJqy3bk0uZXHPisRogp0HnfjO/17G84+XQqfi8MRncwf9XjgSx0/eb4ROLUGebfgaMI8/iude\nvYxAOI6Ni6xQKzj89pN2fHf7FXz/sRLk2RJDZ3efcOGjU524Z4UNLa4QXthRhx9+sQyZphsbPL+x\npwUbF1mnKNkBDPlLoDTkTMmxRyJYwsPJ9JAorIgGnSM/eYzicR6u2hPwNp+Z9GOT4WVW3CN0CClN\nn7MQ6oyZ8LXd+kov1Vn0MmxaZsNP3r+Or/9XomOTZYCn7s3vu83FMsy46riD4URRskw6uB9DJkkc\nMBiJQ6Xg8EBNJr7/81o8/coFMAzwyDoHMk1yvHugDRoFhyXlE1zdYVjY5z00sWOkOUPeErSdfQcB\n11WhQ5mQ0dStragYXCv20981IhrnsXVTbt/WQEP58IQLnd1RPH1vft+KzaIyPf7mPz7Fm/ta8dQ9\n+QASdWvVpXpsXm5DnOdx6qoXB8658bnliSTs6MUutLjCfRcek47hYK98YGqOPQqCJTwAIDeUINoy\nuQlPPBpD24X9CLjqJvW45NZ02Qugy5ondBgpz1H1MC799ltChzGlXv9jM3bsa8OsXDXWVpkRj/P4\n4FgHfvRmPZ6+Nw/zZwy+HTVa8Z4717fKlXoXjTKMcvzwi6VoaAvCpJXCoJEiGI7h1wec+MJtWWAZ\nBntOufDWx20IR+KoqTThnpW2Ua/6mApXCXYlKxYMw8A+90HU7v4HoUOZkNHUrd2soS2A337Sjpo5\nJszMHf5WFpDYMxEA5hTeeJ5FL0OOVYFr/Y7v8kZQ7LhxUWHVy9DRrzPyjT2tuHOxFaphNp+eKHPJ\nWsh1wg0gnva29P4kCjOkmsl7Q4iGI2g+9QElO9OMlciRXf0FocMQBbV1hqgnzfqCMbx7wIlCuxLf\n3lKE5bONWDnHhL99pBjZVjle+c11RKLj329PKUu8pYWjg2v2eh9TyG687Uk4FoV2FQyaxC2w9490\nQKeWYPFMPa45g/j3X1/DbQsteHxjNt77pB0fHh9dezzDyZBZ+flxvw5ygy5rLjS2cqHDmBC7SY7u\nQAwe343GmZvr1m72iw9bIJOwuL9m5ATB3nNLqqkj1PdYNBZHhycy4PhaJddXt5aIIQZdz8rRJxe6\n4OwK4/aFU7O6w0pVsAt8Tgia8ACA0lgOhpOP/MQRhANBNJ3YibBv8m+RkVuzzbkXMvUULYGmIce8\nh5NiIvlUaHaFEInxWFZuHND9JOEYLJ9tRJcvisZ+b9pjZdEnuq7c3YPn+XR6I1ArOChkQ1+9BsMx\nvHuwDfettIFhGBw854bNKMOGBRbMLdJh8Uw99p9zjyqOjPK7IVObx/06yEBZC/5EsPltk+HuJRkw\na6V48a161LcG0NAWwItv1Q+oW+uvvjWAo5c8WD/fDOMQ9Wg3WzvPjDybAq/svIaL131o6gjhP9+9\nDo8/iruXZPQ9b1aeBoc+7cKVJj/2n+1EU0cIsws04Hkeb+xpwZ2LrVBO0epOZsVmweezCXpLC0hM\n5VWaKuB3Hhn3MQIeD1rP7AIfG/wmR6aWQp+DDIEq7sVKrsuErWIzWk6+LnQok07KJZKc+BB7Fsd7\n7kdNZD9jtYJDhkGGqy2BQT+raw2g0K4c9nffO9wOo0aKRT01EF39usgAQKuU4HyDb8QYFPps2GYP\nLson46c05cM68w44z70rdCjjMpq6tf4+ONoBlgFuWzC6C0mVgsN9KzPx8jsN+PZPL/c9/tiGLMwr\nvpFk3LnYipO1Xnzzx4l2/42LLJiVp8HB8264vJEpW91RmouSoltR8IQHAKRqO6Q+OyL+sbcfdne0\nwnn+A2D6Nn0nfRhkL/rzSZuWuXXrVmzdunVSjpXqbLM/C3f9ftFNBc+xKmDUSvDRSRduW2iBTNJ7\nCyqOPac7oVVxyLEOn5SMxqIyPXYddqKxPYisnlk8p2q9aOoI4a7FQ8/D8Ydi2HnIib/YmA2mp0bH\noJHg2KUIeJ4HwzBoc4eH7P4agGGQs+SLYLmkeGsVFXvl59HVcBjh7rENokwGY6lbC0fi2HumE/Nn\n6GHtmRM1kt3HO/DKb64jN0OBjYuskEkY7D3diZ++3wiWBT4zP5HIaJQS/P1jJWhwBqGWc7AaZOB5\nHr/a04q7FmdAIeNwqtaL7b9vgtcfRXWZHlvWOfrO0/FgWAlyl/41GFbwG0rC39LqpTBXjGkZn+d5\ndDXWwnnud5TsCMRUtAoa20yhwxClxJvEl1J6GX8oLMvgCxuy0dgRSnSoHHZi50Entv3PJTS1h/An\n67Mg4UbfntXaGcLe0519RZtA4vaBRinB9/7vCnYedOKtfa340Zt1KLQrh+yEAYBdh5ww66SoLr3x\nwVNdpofLG8ErO69jx75WHL7QhaUjdG5ZSm+nNvQpwkrkyFnyRaTaNixjrVs7W9+NYDiOJUPMkhrO\n6x+1wKyT4nt/WoyaShOWlhvxjQcKMbdYi1c/aBpwi5dlGeTblH3J1IFzbnT5otiwwAyPP4p/eaMO\n80t0+MrmPBy/7MWOvRNLMG0V9yRN8X7SJDwsJ4fCNPIMFyCxHO6qPQ1X7cdTHBUZjkRpgKNqi9Bh\niJrKXAjb7METp1NddZke33qoEBoFh1982IJfftQCjYLDMw8WDJuQDOd8gw8vv9Mw4FaTTi3Bc48W\nIS9DiV9+1IJdh9uxsFSPbQ8UQjrElao/GMOuw+24b2Vm3+oOAORmKPGXd+bgTJ0X7x1ux12LrVg9\n1zRsLDKtDfa5wrXcpgNtZjkspRuEDmNMxlq3dvyyBxKOwbyS0dW7eHxRuLujWFiqH1SftmqOCZEo\nj0uNQ2+pFOd5vLm3FXcvsUIh43Dskgc8z+O+VZmYmavBmnkm7D87urq1oShNBUn1HpZU664yTTYi\nvkZEA23DPicei8F54RD8HVemMTLSH8NyyF/5lOAFaOkgc8696G49J7rZPLMLtJhdoB3181/eOmvI\nx2sqTaipHJyEOMwKbHvw1luc9FIpOPz4q0NfbK2ea7plktOLYSXIX/EkbRA6DRzzH4Gv/RICKfIZ\nMNa6tQvXfCiyK0fdGt67Itp7rAHH53uPP/Tv7j/rhjcQw2d6aoW6fFGolVzfwE+tUgLXEA0Ao8Fy\ncuQu/RIYNnlWqZNmhaeX0jwHDDv0fctYJIrm03+gZEdgWQsegyajTOgw0kIiuXwSEuXEtzggU8dR\ntWXEPeTI5GA5KQpWPgVOduvZNMmif91auN+tq6Hq1qIxHtfbQ8jPHH0dm0rBoThLhUOfdsHjv9H2\nHud57D7ugoRjMCN7cGF0PN67upMBec+gToNGAq8/hmA40bo+qrq14V730r+C0jh4erSQuOeee+45\noYPoj2Gl4ORGRLob0X//q0gwhOZT7yHiH90cDDI1TMVrYJ97v9BhpBVOqoDKXAxX7V7QnnDJx5C/\nDFnzHxE6jLTCydRQGvPQWbdP6FBGxDAMMgxy/O5oB45c9CAa43Hhmh///V4jmtpDePyOHBT0JDht\n7jB2HW7H4pkGlOaohzyeuzuCTy4k9oTrnR+Vm6HAH4514OMzbkRiPK62+LH9gyacb/Dh8zWZAzq1\neu053Yljlz3Y+tlccD2rRAa1BO8f6UBdawDu7ih2HmzD6krTmFZjAcA6605kzBK+K+tmSZfwAAAr\nUYGVKBH1twAAgt3daDmxE7HI0PchyfRQWUqQv/KppFqiTBcyjRWsRAFv80mhQyH9KIx5KFz99Unr\nVCSjJ9dlgud5+FpHt7GskLIsCpTlqHGlyY+9p904W98Nm0GGxzdmY1HZjdXbFlcYu0+4sKjMgCLH\n4FUZALjSFMAP3qiDXi3p20zUrJNhXrEW15xB7DvdiZNXvNAoJdiy1oENQ7S2x+M8XnizHncssg6Y\n4qyQccjPVGLfGTeOX/ZiabkRD66xj2lPO01mBfKWPjGgHi5ZMPxEhl5MsYDrHNx1h9B67n2AH//0\nVTJxEqUBpXf8E6SqkesZyNS5duAVdFz+g9BhEABStQUlt30fMjonBMPzcdTvfQHuetokOhlI1VaU\n3vGPSVvfmXQ1PP0pjDMR8nVRsiOw3iJlSnaEl73ocehzqoUOI+1xMg2K1j5LyY7AGIZF7rIvQ2uf\nI3QoaU+i0KN43beSNtkBkjzhYRgGecuegNZeKXQoaYthpchf9VUqUk4SDMsib8VXoLYN3bVEph7L\nyVG45hko9FlCh0IAsJwE+au+CpWlROhQ0hYnU6No3bch19mFDuWWkjrhAXraPVc9DZW5WOhQ0g7D\nyVCw+mvQZ88XOhTSD8tJUVjzdSiN+UKHknYYVoK8lU/ScMEkw0kVKFyzDQp9ttChpB1WqkTh2meT\nriNrKEmf8AA9/5nXfhNqWmWYNiwnR+HqZ6BzzBU6FDIETqZC0frv0IXANGI4GQpqvg59dpXQoZAh\nSOQaFK37FuS08jZtGE6GwtXfgNqSGu9DSV20fLN4LIz6fS+hq+GQ0KGIGitVonD1M7RtRAqIRYK4\n+sfn0d1yRuhQRC1xTnwDGrqVmPSiIS9qd/8T/O2XhA5F1FipquecSJ3PiZRKeIBEVX7jkVfR/uku\noUMRJVaqQtHab9KSfQqJxyKo2/MjeK4fEToUUeJkGhStexYqc5HQoZBRikdDuPrRD+FtOi50KKIk\nURpQtPZZKI15QocyJimX8PRqO/cumo7+DDSIbfJIFHoUrnmG3thTEB+P4dqh/4Lr8m6hQxEVudaO\ngtVfo9qQFMTHY2jY/+/ovLpX6FBERWHIQeGabZCpB8/3SXYpm/AAQOfVj9Gw/9/Ax6MjP5nckspS\ngoJVT1PreYpznt+FxqOv0iiHSaB1zEPeii9DIht64i1JfjzPo/XUr9By6legi+OJ0zoqE3vGyYYe\nipjsUjrhAYDu1nOo2/sCooHx7+ia7swz1iNrwWNgOZoWKwbe5jOo3/ciosEuoUNJWRnlm2Cf9wAY\nZvi+jpdeegkvv/wyAODChQvTFRoZh67rx9Dw8UuIhX1Ch5KaGBaZlZ+HbfamW54TyS51I++hsc1C\n2V3/CkPeEqFDSTmsVIncZVuRs+hxSnZERGufjRkb/5m6GseBk6mRv/JJOKoeSuk3djKQPrsKM+74\nZ+pqHAepyoTi9d9BZsXmlD8nUjv6HhK5Fvkrn0Te8q+kzA66QlNZSlC68XmYClcIHQqZAjKVCcWf\neQ6Oqi1guPHtdpxuNLZylN75A7p4Eim5NgMlt30XGeV3Ayn+wT1dtI55KN34vGi6E0V1WW8sWAaN\nbRYaDvwnVecPg2GlyCi/G5lz7qVNQEWOYVhklN8NXXYVGj7+N/g7rggdUlJiOTns8x6Epez2pNzw\nkEwehpXAUbUFhryluHbwFQRcV4UOKSlxMg0cVQ/DVLxGVOdEytfwDKf94u/RdPRVxKNBoUNJGvrc\najiqHoFcaxM6FDLN+HgcbWffQeuZHYhHQ0KHkzS0jnnIrn4Mcm3mmH+XanhSGx+PwXn+N2g++Uvw\nsbDQ4SQNY+FKZM1/NKn3xBov0SY8ABD2taPl5Btw1e4B+JjQ4QhGYcxD1oI/hTazXOhQiMAifhea\njr+Gzto9SOeuFYU+G475j0KXNfIkcbfbjebm5kGPv/baa3j99dcBAG+//fagn6tUKuTlpdacknQU\n8rai8ZOfwNN4TOhQBCXXZSF70Z+L+nNC1AlPr5CnGS0n30Bn/ceA+F9uH4lch8y598Ncsjbli83I\n5PJ31KLxyP/C13Ze6FCmFSfXInPOfbDMWD/qW7o7duzAtm3bxvy3qqursX379jH/HhFGd9unaD7+\nWtqdE1K1BbbZm2EurgHDiqrKZRBxv7oecp0deSu+jIyKz6Hl5OvoavgEYr66ZaUqWErWwVaxOWXn\nJZCppTIXomTD38HTeBytZ94W/Zu8RGmAtewOWGZ8hs4JMiRNRlninGg6ieYTv0BA5DVvUpUZtorP\nwVS0ZlCXrlhv16bFCs/N/K6raDnxuuiWMBWGHFhKN8BYsBKcVCF0OCSF+JwX0Xb2HXRdOwIxXQzI\ntDZkzLoLpqIasJxsUo8t1g8FkuBpPAbnp+/D23QC4jonMmGdeQfMxWvBDtPBKdb/22mxwnMzlakA\nhWueQcjTjI7Lu+Gq/Sh1BxcyHPQ5C2Etu000rYNk+qmtM1BQ8zUEuxrRfvF36Kzdi1i4W+iwxofh\noHNUwlS8GvrshWBYup1Lxk6XVQVdVhVC3ha0X/wArssfpvA5wUKXNQ+WGRugdVSKqvNqLNIy4ekl\n19nhqHoY9rkPwNN4DJ1X96Lr+rGUqNiXqq0wFa6EecZ6yGg7CDJJFPosZC98DI6qLfBcPwJX7V54\nm46Djyd/0b9CnwNTcQ2MBSsgVRqEDoeIhFybiaz5j8BeeT/c9fvRWbcf3S2nU+OcMObBmL8MpsJV\nkKqMQocjuLROeHoxbGKVRJ+zELFIEJ7rR+CuP4ju1nNJk9EznAwa2yxoHZXQOeZCoc8SOiQiYiwn\nhSFvCQx5SxANdcPbdAKexuPwNp9Kni0rGAYqczF02fOhz14ApTFX6IiIiLESGUxFNTAV1SAa6kbX\n9SPwXDsCb/PJpBn1wLAcNLZy6LIXQJ+zICU3+JxKlPDchJMqYCxYDmPBcvA8j5CnEb62C/A5E/9C\nnsHtqVNFrs+Czl4JbdZcaGyzJr0GgZDRkMg1A86JgKsWnsYT8DkvIuCqnbYEiGGlUBrzoLIUQWOb\nBU1mBSRymqxOpp9EroG5qAbmohrEYxH42y/B57wIn/Mi/M6LiIY80xIHy8mhNBdCZSmC2jIDWvuc\nMRXlDzdywel09n19/vzghoZUHblACc8tMAwDhT4bCn02zCVrAQDRoKcn+bmEsM+JSKATUX8nIgHX\nuLJ8hpVAprZCprFCrnNAYcjp+0e7NJNkwzAMVOYiqMxFfY+FfR0IuGrh76hFyNOIsK8DYV97T13c\n2Is9WakSMrWl77xQGBJJjtKQI/q2WZJ6WE6aSMD71VCGPC3wtV9CyNuMsLcVoe5WhL2t47444GRq\nyNRWSNUWyDQZUOizobYUQ2HInVCN2u7du0ccubBp06ZBj6XqyIW07NKaKrGwH5FAJyL+TkSDbvB8\nHAwrAcNKwHKSvq97/0mUBkiVBpqRQ0QpHosi4u9ANOBGLBpAPBJEPBYGH48CfBwMJwcrkYOTKMBI\nZOCkSkhVZlq1IaIViwQRDXQiFgkgHg0iFgki3vM1wIDp+ZxgJQpwUmVPomOZslEK6TZjihIeQggh\nhPQRa1s6LS0QQgghRPQo4SGEEEKI6FHCQwghhBDRo4SHEEIIIaJHCQ8hhBBCRI+6tAghhBAierTC\nQwghhBDRo4SH619IOAAAAH1JREFUEEIIIaJHCQ8hhBBCRI8SHkIIIYSIHiU8hBBCCBE9SngIIYQQ\nInqU8BBCCCFE9CjhIYQQQojoUcJDCCGEENGjhIcQQgghokcJDyGEEEJEjxIeQgghhIgeJTyEEEII\nET1KeAghhBAiepTwEEIIIUT0KOEhhBBCiOj9P8cmRppMfW5DAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "tmp_data = {'conv_2_ad': ['-','+'],\n", " 'All': [89, 155],\n", " 'Base': [24, 102],\n", " 'HPS+': [9, 65]} \n", "tmp_df = pd.DataFrame(tmp_data, columns={'conv_2_ad', 'All', 'Base', 'HPS+'})\n", "\n", "obs = tmp_df.as_matrix(columns=['All', 'Base', 'HPS+'])\n", "chi2, p, dof, exf = scipy.stats.chi2_contingency(obs)\n", "print('observed freq: ')\n", "print(obs)\n", "print('Chi2: ', chi2)\n", "print('p value: ', p)\n", "print('degress of freedom: ', dof)\n", "print('expected freq: ')\n", "print(exf)\n", "\n", "plt.close()\n", "fig, (ax1, ax2, ax3) = plt.subplots(1,3, figsize=(10,6))\n", "ax1.pie(tmp_df['All'], labels=tmp_df['conv_2_ad'],autopct='%1.1f%%',startangle=90)\n", "ax1.set_title('All')\n", "ax1.set(adjustable='box-forced', aspect='equal')\n", "ax2.pie(tmp_df['Base'], labels=tmp_df['conv_2_ad'],autopct='%1.1f%%',startangle=90)\n", "ax2.set_title('Base')\n", "ax2.set(adjustable='box-forced', aspect='equal')\n", "ax3.pie(tmp_df['HPS+'], labels=tmp_df['conv_2_ad'],autopct='%1.1f%%',startangle=90)\n", "ax3.set_title('HPS+')\n", "ax3.set(adjustable='box-forced', aspect='equal')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 78, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "observed freq: \n", "[[ 24 9]\n", " [102 65]]\n", "Chi2: 1.14339395777\n", "p value: 0.284936307791\n", "degress of freedom: 1\n", "expected freq: \n", "[[ 20.79 12.21]\n", " [ 105.21 61.79]]\n", "observed freq: \n", "[[ 89 9]\n", " [155 65]]\n", "Chi2: 14.6232150923\n", "p value: 0.000131287257445\n", "degress of freedom: 1\n", "expected freq: \n", "[[ 75.19496855 22.80503145]\n", " [ 168.80503145 51.19496855]]\n" ] } ], "source": [ "# post hoc pair-wise tests\n", "obs = tmp_df.as_matrix(columns=['Base', 'HPS+'])\n", "chi2, p, dof, exf = scipy.stats.chi2_contingency(obs)\n", "print('observed freq: ')\n", "print(obs)\n", "print('Chi2: ', chi2)\n", "print('p value: ', p)\n", "print('degress of freedom: ', dof)\n", "print('expected freq: ')\n", "print(exf)\n", "\n", "# post hoc pair-wise tests\n", "obs = tmp_df.as_matrix(columns=['All', 'HPS+'])\n", "chi2, p, dof, exf = scipy.stats.chi2_contingency(obs)\n", "print('observed freq: ')\n", "print(obs)\n", "print('Chi2: ', chi2)\n", "print('p value: ', p)\n", "print('degress of freedom: ', dof)\n", "print('expected freq: ')\n", "print(exf)" ] }, { "cell_type": "code", "execution_count": 79, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "observed freq: \n", "[[ 65. 15. 9.]\n", " [ 50. 35. 64.]]\n", "Chi2: 38.7303269732\n", "p value: 3.88880670272e-09\n", "degress of freedom: 2\n", "expected freq: \n", "[[ 43.00420168 18.69747899 27.29831933]\n", " [ 71.99579832 31.30252101 45.70168067]]\n" ] } ], "source": [ "tmp_df = chi2_fn(df2, 'conv_2_ad')" ] }, { "cell_type": "code", "execution_count": 80, "metadata": {}, "outputs": [ { "data": { "image/png": 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aN26MgoICXLt2jU8aGjZsyHexeDpxKSnFGRsbC0B35//8+fPo1KkTfH19kZ+f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\nvvCVX+BXv9uI+/7qagBAfyCEZ3//XZhNyT/YJfOn44Y7f47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1dV8vgpEErph79obLzEkm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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "hpc_pie(tmp_df, 'conv_2_ad', path_results + 'adni1_mci_hpc_progression_pie.pdf')" ] }, { "cell_type": "code", "execution_count": 81, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "observed freq: \n", "[[ 15. 9.]\n", " [ 35. 64.]]\n", "Chi2: 4.82889243462\n", "p value: 0.0279866040076\n", "degress of freedom: 1\n", "expected freq: \n", "[[ 9.75609756 14.24390244]\n", " [ 40.24390244 58.75609756]]\n", "observed freq: \n", "[[ 65. 9.]\n", " [ 50. 64.]]\n", "Chi2: 34.7102243964\n", "p value: 3.82616784848e-09\n", "degress of freedom: 1\n", "expected freq: \n", "[[ 45.26595745 28.73404255]\n", " [ 69.73404255 44.26595745]]\n" ] } ], "source": [ "# post hoc pair-wise tests\n", "obs = tmp_df.as_matrix(columns=['Non-HPS+', 'HPS+'])\n", "chi2, p, dof, exf = scipy.stats.chi2_contingency(obs)\n", "print('observed freq: ')\n", "print(obs)\n", "print('Chi2: ', chi2)\n", "print('p value: ', p)\n", "print('degress of freedom: ', dof)\n", "print('expected freq: ')\n", "print(exf)\n", "\n", "# post hoc pair-wise tests\n", "obs = tmp_df.as_matrix(columns=['Negative', 'HPS+'])\n", "chi2, p, dof, exf = scipy.stats.chi2_contingency(obs)\n", "print('observed freq: ')\n", "print(obs)\n", "print('Chi2: ', chi2)\n", "print('p value: ', p)\n", "print('degress of freedom: ', dof)\n", "print('expected freq: ')\n", "print(exf)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## time to progression" ] }, { "cell_type": "code", "execution_count": 82, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/AngelaTam/anaconda3/lib/python3.5/site-packages/ipykernel/__main__.py:1: UserWarning: Boolean Series key will be reindexed to match DataFrame index.\n", " if __name__ == '__main__':\n" ] }, { "data": { "image/png": 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q3E164MCBomEFkyZN0mkOfiD3JjzKM/U1bdo03w1f6tWrJxoyt2DBAo0jDhIT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\n7o+gya1bt4TH7du3V1uubdu2wo2Trl6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GbbkaNWpg9OjRwvPo6OiSqB5RmcAAQKRnymf5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\nS7GaZikcefkAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.hist(df2.dropna(subset=['Month_conv'])[df2.f_hpc==1]['Month_conv'].values)\n", "plt.xlabel('Months')\n", "plt.title('Conversion time in ADNI1 HPS')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 83, "metadata": { "collapsed": true }, "outputs": [], "source": [ "df2.to_csv('/Users/AngelaTam/Desktop/adsf/adni1_vbm_adcn_subtypes_20171209/7clus/adni1_mci_hps_bl.csv')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## APOE4 positivity in ADNI1 MCI " ] }, { "cell_type": "code", "execution_count": 84, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "baseline rate in NON-TARGET subjects: 0.3707865168539326\n", "##########\n", "baseline rate in TARGET subjects: 0.6912751677852349\n", "##########\n", "number of subjects with VOI in the whole sample: 136.0\n", "total number of subjects with VOI data in whole sample: 238\n", "ratio: 0.5714285714285714\n", "##########\n", "number of subjects with VOI that are positive at stage 1: 76.0\n", "total number of positive stage 1 subjects with VOI data: 123\n", "ratio: 0.6178861788617886\n", "##########\n", "number of subjects with VOI in HPC-AD: 47.0\n", "total number of HPC-AD subjects with VOI data: 73\n", "ratio: 0.6438356164383562\n", "##########\n", "number of subjects with VOI in Non-HPC+: 29.0\n", "total number of Non-HPC+ with VOI data: 50\n", "ratio: 0.58\n", "##########\n", "number of subjects with VOI in negative subjects: 60.0\n", "total number of negative subjects with VOI data 115\n", "ratio: 0.5217391304347826\n" ] } ], "source": [ "compare_ratio_var(df2, 'APOE4_bin', 'conv_2_ad')" ] }, { "cell_type": "code", "execution_count": 85, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "observed freq: \n", "[[ 55. 21. 26.]\n", " [ 60. 29. 47.]]\n", "Chi2: 2.73720567798\n", "p value: 0.25446223602\n", "degress of freedom: 2\n", "expected freq: \n", "[[ 49.28571429 21.42857143 31.28571429]\n", " [ 65.71428571 28.57142857 41.71428571]]\n" ] } ], "source": [ "tmp_df = chi2_fn(df2, 'APOE4_bin')" ] }, { "cell_type": "code", "execution_count": 86, "metadata": {}, "outputs": [ { "data": { "image/png": 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9+6NTp06oV68epFIpwsLChKTBx8dHmGJROHEpKMUZEREBQHfl/+LFi2jXrh18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\nZS5ugtbEfgPtjCg2BK0FvNYCRRxiHSVniGFqe5sunKCLezEnST2tqRQ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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "hpc_pie(tmp_df, 'APOE4_bin', path_results + 'adni1_mci_hpc_e4_pie.pdf')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## sex (% male) in ADNI1 MCI" ] }, { "cell_type": "code", "execution_count": 87, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "baseline rate in NON-TARGET subjects: 0.5955056179775281\n", "##########\n", "baseline rate in TARGET subjects: 0.5906040268456376\n", "##########\n", "number of subjects with VOI in the whole sample: 141.0\n", "total number of subjects with VOI data in whole sample: 238\n", "ratio: 0.592436974789916\n", "##########\n", "number of subjects with VOI that are positive at stage 1: 75.0\n", "total number of positive stage 1 subjects with VOI data: 123\n", "ratio: 0.6097560975609756\n", "##########\n", "number of subjects with VOI in HPC-AD: 46.0\n", "total number of HPC-AD subjects with VOI data: 73\n", "ratio: 0.6301369863013698\n", "##########\n", "number of subjects with VOI in Non-HPC+: 29.0\n", "total number of Non-HPC+ with VOI data: 50\n", "ratio: 0.58\n", "##########\n", "number of subjects with VOI in negative subjects: 66.0\n", "total number of negative subjects with VOI data 115\n", "ratio: 0.5739130434782609\n" ] } ], "source": [ "compare_ratio_var(df2, 'gender', 'conv_2_ad')" ] }, { "cell_type": "code", "execution_count": 88, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "observed freq: \n", "[[ 49. 21. 27.]\n", " [ 66. 29. 46.]]\n", "Chi2: 0.625162205906\n", "p value: 0.731556295165\n", "degress of freedom: 2\n", "expected freq: \n", "[[ 46.8697479 20.37815126 29.75210084]\n", " [ 68.1302521 29.62184874 43.24789916]]\n" ] }, { "data": { "text/html": [ "
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NegativeNon-HPS+HPS+gender
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\n", "
" ], "text/plain": [ " Negative Non-HPS+ HPS+ gender\n", "0 49.0 21.0 27.0 -\n", "1 66.0 29.0 46.0 +" ] }, "execution_count": 88, "metadata": {}, "output_type": "execute_result" } ], "source": [ "chi2_fn(df2, 'gender')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## CSF tau in ADNI1 MCI " ] }, { "cell_type": "code", "execution_count": 89, "metadata": {}, "outputs": [ { "data": { "image/png": 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G5Fy4cEF9+/YtVCfsIy4uTkOHDjV+Ico3YcIE/fjjjzpx4oRN+3333afVq1dX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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "ANOVA F: 0.0443551674507\n", "p value: 0.956641792107\n", "Multiple Comparison of Means - Tukey HSD,FWER=0.05\n", "==================================================\n", " group1 group2 meandiff lower upper reject\n", "--------------------------------------------------\n", " HPS+ Negative -2.2632 -32.8488 28.3225 False \n", " HPS+ Non-HPS+ -4.7519 -43.093 33.5892 False \n", "Negative Non-HPS+ -2.4887 -36.5213 31.5438 False \n", "--------------------------------------------------\n" ] } ], "source": [ "anova_hpc(df2, 'TAU', 0, 300, path_results+'adni1_mci_csf_tau.pdf')" ] }, { "cell_type": "code", "execution_count": 90, "metadata": {}, "outputs": [ { "data": { "image/png": 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VCQBwnFmzZmnz5s03dW1KSoqysrLs9rm5uSkjI8Nun7u7uzw8PG66xhv17NlT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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "ANOVA F: 1.40694748877\n", "p value: 0.233519604412\n", " Multiple Comparison of Means - Tukey HSD,FWER=0.05 \n", "======================================================\n", " group1 group2 meandiff lower upper reject\n", "------------------------------------------------------\n", "HPS+ pMCI HPS+ sMCI -17.2833 -90.2658 55.6992 False \n", "HPS+ pMCI pMCI+ -1.3515 -52.8343 50.1313 False \n", "HPS+ pMCI pMCI- 15.3952 -32.8003 63.5908 False \n", "HPS+ pMCI sMCI+ -34.2 -116.2253 47.8253 False \n", "HPS+ pMCI sMCI- -18.325 -61.0123 24.3623 False \n", "HPS+ sMCI pMCI+ 15.9318 -59.7928 91.6564 False \n", "HPS+ sMCI pMCI- 32.6786 -40.8506 106.2078 False \n", "HPS+ sMCI sMCI+ -16.9167 -115.9716 82.1382 False \n", "HPS+ sMCI sMCI- -1.0417 -71.0841 69.0007 False \n", " pMCI+ pMCI- 16.7468 -35.5082 69.0017 False \n", " pMCI+ sMCI+ -32.8485 -117.3228 51.6258 False \n", " pMCI+ sMCI- -16.9735 -64.1961 30.2491 False \n", " pMCI- sMCI+ -49.5952 -132.1073 32.9168 False \n", " pMCI- sMCI- -33.7202 -77.3356 9.8952 False \n", " sMCI+ sMCI- 15.875 -63.5456 95.2956 False \n", "------------------------------------------------------\n" ] } ], "source": [ "anova_hpc_split(df2, 'TAU', 0, 300, 'sMCI', 'pMCI', path_results + 'adni1_mci_csf_tau_split.pdf')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## CSF abeta in ADNI1 MCI " ] }, { "cell_type": "code", "execution_count": 91, "metadata": {}, "outputs": [ { "data": { "image/png": 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3V6NGjdSnTx9jQjWAJyOrjpOcOlQAADYU7sPCwtS7d2+dP39eUuoGREuWLDHr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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "ANOVA F: 2.19401006694\n", "p value: 0.119076593608\n", "Multiple Comparison of Means - Tukey HSD,FWER=0.05\n", "==================================================\n", " group1 group2 meandiff lower upper reject\n", "--------------------------------------------------\n", " HPS+ Negative 25.3434 -8.6103 59.2972 False \n", " HPS+ Non-HPS+ 0.6541 -42.2684 43.5766 False \n", "Negative Non-HPS+ -24.6893 -62.5311 13.1525 False \n", "--------------------------------------------------\n" ] } ], "source": [ "anova_hpc(df2, 'ABETA', 50, 350, path_results + 'adni1_mci_csf_abeta.pdf')" ] }, { "cell_type": "code", "execution_count": 92, "metadata": {}, "outputs": [ { "data": { "image/png": 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F2FehCRBhYWEaNWqUwsLCJEnVq1fXokWLLFoBpLufFVnzy3irVq3k7e2tS5cu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/Hjx4XgwdHREUlJSZgxY4Zw/sMPP8T+/ftx/vx53Lt3b2g3OwwKhQKffPKJEDz4+PggPj5eaZJ5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\nkAAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "ANOVA F: 2.73908302426\n", "p value: 0.0260077473939\n", " Multiple Comparison of Means - Tukey HSD,FWER=0.05 \n", "=====================================================\n", " group1 group2 meandiff lower upper reject\n", "-----------------------------------------------------\n", "HPS+ pMCI HPS+ sMCI -9.9833 -90.6481 70.6815 False \n", "HPS+ pMCI pMCI+ -5.4606 -62.3626 51.4414 False \n", "HPS+ pMCI pMCI- -7.3762 -60.6449 45.8925 False \n", "HPS+ pMCI sMCI+ 13.2667 -77.3927 103.9261 False \n", "HPS+ pMCI sMCI- 39.7282 -6.7493 86.2057 False \n", "HPS+ sMCI pMCI+ 4.5227 -79.1728 88.2182 False \n", "HPS+ sMCI pMCI- 2.6071 -78.6619 83.8762 False \n", "HPS+ sMCI sMCI+ 23.25 -86.2316 132.7316 False \n", "HPS+ sMCI sMCI- 49.7115 -27.2771 126.7002 False \n", " pMCI+ pMCI- -1.9156 -59.671 55.8398 False \n", " pMCI+ sMCI+ 18.7273 -74.639 112.0935 False \n", " pMCI+ sMCI- 45.1888 -6.3697 96.7474 False \n", " pMCI- sMCI+ 20.6429 -70.5546 111.8403 False \n", " pMCI- sMCI- 47.1044 -0.414 94.6228 False \n", " sMCI+ sMCI- 26.4615 -60.9431 113.8662 False \n", "-----------------------------------------------------\n" ] } ], "source": [ "anova_hpc_split(df2, 'ABETA', 50, 350, 'sMCI', 'pMCI', path_results + 'adni1_mci_csf_abeta_split.pdf')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## age in ADNI1 MCI " ] }, { "cell_type": "code", "execution_count": 93, "metadata": {}, "outputs": [ { "data": { "image/png": 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RERHJU5EblpOZmckXX3wB5PTY165d2+l+c+fOtY2r79Kli609NDQUb29vsrKyWLZsGcHB\nwU6PX7JkCQDe3t4u9xERERERKUhFrue+Ro0a3HXXXQAsWLCAM2fOOOyza9cuJk2aBMADDzzAQw89\nZNvm7+9P586dAdi4cSNr1651OH7t2rW2AlmdO3d2GO4jIiIiInIjFLmee4AhQ4YwaNAgLl68SI8e\nPYiIiODee+8lPT2dqKgoFi1ahNlsJiAggDFjxjgcP3ToUKKiokhKSuLVV19l//79tG3bFsipejtv\n3jysViuBgYEMHjz4Zl+eiIiIiBRRBmvuwPAiZtq0aUyYMAFXl3/77bczdepUatWq5XT7oUOHiIiI\nsE2a/bfAwECmT59O3bp1ryme6OhoQkND2bJli21lHhERERGRK+WVMxbJnnuAgQMH0qRJE+bMmcPe\nvXtJTEzE19eXGjVq0K5dO3r06GErXOVMvXr1WLduHbNmzSIqKoro6Giys7OpUqUKISEh9OvXz7bC\njoiIiIjIzVBkk3uA++67j/vuuy/fxwcEBDB48GANvRERERGRW0KRm1ArIiIiIuKplNyLiIiIiHgI\nJfciInLLKqJrPojcVLrPPIuSexERueX8+eefDBgwgCZNmhAeHm6rHSIiBWfhwoW0b9+eBx98kJdf\nfpmYmBh3hyQFQMm9iIjcUjIyMnjxxRf55ZdfsFqtnD59mrfffpsjR464OzQRjxEVFcXHH39MfHw8\nFouFn376iSFDhrg7LCkARXq1HBGRombChAls3rzZ3WFcVUZGBsnJyXZtFouFyMhI/P393RTVtWnT\npo1WUJNCcZ8lJSU5tP355588/PDDeHt7uyGia6f77OrUcy8iIoWCwWBwdwgiIre8Iluh9lajCrUi\nIjkyMzMJCwsjLi7O1mYymfj6669dVg0Xkeuzfft2h97ve++9lzlz5rgpIrlWeeWM6rkXEZFbio+P\nD1OnTqVZs2YAeHl58dFHHymxFylALVq0YMSIEZhMJgwGA23atGH8+PHuDksKgJJ7ERG55VStWpX/\n+7//o3z58gQGBtKqVSt3hyTicbp27UpQUBDlypXjww8/pGzZsu4OSQqAknsREREREQ+h5F4kn6xW\nqwp/iBQQi8XitF33mIjI9VFyL3KdLl++zLhx42jRogXNmzfngw8+ICMjw91hiRRKq1atolOnTjRp\n0oSIiAhOnDgBwB9//MEzzzxDXFwcCQkJrF+/3s2RiogUDkruRa7TpEmTWLx4MRkZGVy+fJlly5Yx\nceJEd4clUujs3buXUaNGERsbC8D+/fsZNGgQqampDBo0iF9//RWA7OxsRo4cyeHDh90ZrohIoaAi\nVnLLKAxFPwC75flyLV26lO3bt7shmuujwh9yK1m7dq1D27lz55g/fz6JiYl27RaLhXXr1lG3bt2b\nFZ6ISKGknnsREXELk8l0Xe1Go96yRETyop57uWUMHjy4UPQqT5o0ia+//tqurVevXoUidpFbSefO\nnVmxYoXdZNoqVarQq1cvli1bxrlz52ztJpOJzp07uyNMEZFCRd0gItfpueeeo1+/fhiNRoxGI336\n9OHFF190d1gihU79+vUZO3Ys1atXx8/Pj5YtWzJp0iSKFy/OlClT+N///ofBYMDLy4tPPvmEmjVr\nujtkEZFbnnruRa6Tl5cXL7zwgm288EsvveTmiEQKr9DQUEJDQx3aq1atymeffUbHjh2BnGqaIiKS\nN/Xci4iIiIh4CCX3Iv8/s9l8Xe1XK2Ll6hgRce5q95mI3Fi6zzyLknsp8jZv3kxYWBhNmzalT58+\ntrW0//77byIjI2natCnt27dnyZIlQE4Rq7FjxxIXF0dcXBxjxoyxFbFatmwZHTp0oGnTpkRERHDy\n5Em3XZdIYbBixQo6duxI06ZNGTBgAH/99RcAR48epX///sTFxREfH8+6devcHKmI55k3bx7x8fHE\nxcXx4osvcubMGXeHJAXAYNXHtVtCdHQ0oaGhbNmyhcqVK7s7nCLj2LFjPPXUU2RnZ9va/P39Wb58\nOX379uX06dN2+0+cOJGdO3eycOFCu/ZHH32U4OBgh4m1lSpVYtmyZXh5aXqLyL/t3buXyMhIu7by\n5cuzcOFCunXrZrfWvcFgYNasWVrnXqSAbN68mTfffNOurVq1ag7vb3LryStnVM+9FGnr16+3S+wB\nUlJSWLBggUNiDzlFd5wV3lm7di1r1qxxaD979iwHDhwouIBFPIirIlbz5s1zKGJltVrVey9SgJy9\nZx0/fpyjR4+6IRopSErupUhzVSzHVU+7yWRyeozRaLzqMSLiKD/3n4gUDFf3mZ40F35K7qVI69ix\nI97e3nZtgYGB9OrVi+rVq9u1GwwGunbtSlhYmMPrhIWF0bVrVwwGg137XXfdRYMGDQo+cBEP0KVL\nF4eqs3fccQe9e/emfPnydu0mk4lOnTrdzPBEPFrXrl0d2urUqePw3ieFj5J7KdKqVq3KxIkTqVu3\nLiVKlKBZs2ZMnTqV4sWL89lnn9GmTRtKlixJ9erVGTNmDI0bNyYyMpJnnnnGVsTq6aef5sUXX6Rh\nw4aMHTuWGjVqULJkSUJCQpg0aZJD8iIiOerVq8e4ceOoWbMmJUuWpHXr1kyaNAlfX1+mTp1KixYt\nbEWsxo8fryJWIgWoefPmjBo1CpPJhMFg4JFHHmH8+PHuDksKgCbU3iI0obbwyS2u42zcoogUDN1n\nIjeW7rHCRxNqRURERESKCCX3InnIzMx0WuDjakWsRERERNxByb2IC6dOnSIiIoJmzZrRrl07Fi1a\nBEBGRgZjxoyxFbEaPXq0rYiViIiIiDtpvSMRJ7Kzs3nllVeIjo4G4Pz583z00UdUqlSJHTt28N13\n39n2XbFiBSaTibfeestd4YqIiIgA6rkXcerQoUO2xP5Ka9ascVpIR8V1RERE5Fag5F7EiasV93BW\nSEdFP0RERORWoORexIk6depQo0YNuzaDwUBYWBjh4eEO+zsrbCUiIiJys6m7UcQJg8HAZ599xoQJ\nE9i9ezcVKlSgf//+3H///TRo0AAvLy9mzpwJwNNPP01ERISbIxYRERFRci/iUrly5Rg7dqxDu5eX\nFwMHDmTlypUAPP/88zc7NBERERGnNCxHRERERMRDKLkXyScVsRK58XSfiRSMrKwszGazQ/vV7jHV\ncCmclNyLXKeMjAzef/99WxGrUaNGkZ6e7u6wRDzKb7/9Rp8+fYiLiyMhIYHVq1e7OySRQik1NZUR\nI0bQokULWrVqxYcffkhmZiYAc+bMIT4+nri4OCIjI21LQO/du5cePXrQvHlzwsLC+P777915CXKd\nlNyLXKfPPvuM5cuX2/69atUqPv30UzdGJOJZMjIyeOmll/jtt98AsFgsjBo1ioMHD7o5MpHCZ9y4\ncaxbtw6z2czly5dZsmQJX3zxBRs3buT//u//bL32e/fuZciQISQmJjJ48GCOHz8OQHR0NG+++San\nTp1y41XI9VByL3KdnBWsWr9+vRsiEfFMO3bsICkpya7NarXqPhO5TmazmU2bNjm0r1u3zul72YkT\nJ/j2228dnkZnZ2ezcePGGxanFCwl9yLXydvb26FNRaxECo6zewx0n4nkh6vCi67uJx8fH6ftuv8K\nDyX3ItfJWcEqZ4WtRCR/mjZtSsWKFe3avLy86NKli5siEimcXN034eHhTt+36tWrxxNPPEFAQIBd\nu6+vLx06dLhhcUrBUnIvcp0iIyOJiIjAaDRiNBp59tlntda9SAHy9vbm888/p3Xr1hgMBry9vZk4\ncSLVq1d3d2gihc6QIUPo27cv5cqVo1KlSrzwwgs8/fTTNGvWjPfffx8vLy8MBgMdO3Zk/PjxlCxZ\nki+++IJmzZpRunRpGjVqxOTJk6lQoYK7L0WukcGqNcZuCdHR0YSGhrJlyxYqV67s7nDkGnTs2BGA\nNWvWuDkSEc+l+0zkxtI9VvjklTOq515ERERExEMouZciJXcpsH+zWq2kpaU5PSYjIwOLxeL0GGcP\nviwWi8vCH+np6U6PuXz5stPiIiJFgcVicVkrwtV9lpmZqXtG5DpkZmaSlZXl0K5CcZ5Hyb0UCWaz\nmfHjxxMcHEzLli0ZOnSobam99evX06lTJ1q2bEnPnj05cOAAkLMkWP/+/WnevDmPPPII8+fPB3KS\n/VGjRtmKWL3zzju2xGThwoW0a9eO5s2b069fP/766y8ADh48SK9evWjRogWdOnWyPf5MTk7m9ddf\np2XLlgQHB/Pxxx8rYZEiZcmSJbRv354WLVrQt29f/vjjDwAOHz7Mk08+aStitXLlSgBSUlJ48803\nbQV5xo0b5zRhEZEcqampvPXWW7Ro0YLg4GA++OADWxGr2bNn24pYRUREcPr0aTdHKwVBY+5vERpz\nf2PNmDGDL774wq6tefPmREZG0qdPH7ue+RIlSrBy5Ur69OnDmTNn7I4ZP348O3fuZMmSJXbt4eHh\nBAcH8/LLL9u1ly9fnvnz5xMeHk5KSoqt3WAwMHv2bGbNmsXWrVvtjhkwYAADBw78L5crUijs3r2b\nF154wa4tKCiIRYsWER4eTnJysq3dYDAwY8YMFixYwObNm+2O6devn8PriEiO4cOHO9SIeOqpp6hV\nqxZvv/22Xftdd93FokWLMBgMNzNEuU4acy+C8yJTP/30E6tWrXIYcnPp0iXmz5/vkNjnvo6z11q3\nbp3T9nPnzjF//ny7xB5yHoOuWrWKH374welriRQFzu6ZhIQE5s2bZ5fYQ849s2bNGr7//nuHY3TP\niDhnNpsdPgyD6/eskydPcvTo0ZsRmtxASu6lSHBWlMNkMrks1lGsWDGn7d7e3k6P8fHxcVl4x9fX\n1+U5nBUXcRWTiKe53nvGx8fHaSEd3TMizhkMBpf3jKv7z1W7FB5K7qVIcFas45FHHiE8PNwhkS9b\ntiy9evWiZs2adu1Go9Fl4Y/w8HDCwsIwGu1vqWrVqtGrVy/Kly9v1+7j40N4eDjt27d3eK1u3bpd\n83WJFGZdu3Z1+IBbtWpVevfuTaVKlezavby8CAsLsy3bdyXdMyLOmUwmp0WsunXr5vS+qV+/vupJ\neADTu++++667g5CcSWJz5syhb9+++Pv7uzscj1OnTh38/f2Jjo7Gx8eHsLAwhgwZQmBgIA0bNuTM\nmTNkZGTQpEkTRo8eTVBQEK1ateL8+fOcP3+eu+66i9dff52HHnqIRo0a4eXlxf79+zEYDDz77LNE\nRERQsWJFatasSXR0NGazmVatWjFq1ChKly5Ny5YtiYuLIykpiXvuuYcRI0ZQp04dmjZtSlZWFrGx\nsQQGBtK/f3969erl7m+XyE1Rrlw5ateuzenTpzGbzbRo0YL33nuP0qVL06JFC+Li4jh16pStiFX9\n+vV58MEHbfdMmTJl6NevH08++aTGCIu40KRJEywWCzExMQQEBNC3b1/69u1LlSpVqFq1Ktu2bQOg\nU6dOjBw5kuLFi7s5YslLXjmjJtTeIjShtvBR4Q+RG0/3mciNpXus8NGEWhERERGRIkLJvUgeLl26\nRHZ2tkO7Cn+I3HgWi0X3mcgNZLVanRZqlMLLcQr1dfjrr7+YM2cOu3btIj4+nszMzGv+BTEYDPz2\n22//5fQiN9Tx48d5//33OXToEAEBATz99NM8+eSTpKenM27cOOLi4gAYMWIEw4YNw8/Pz80Ri3iO\nw4cP88EHHxAfH4/RaGT58uWEhYW5OywRj/LVV18RHx+P1Wrl2WefZcSIEdx5553uDkv+o3wn90uX\nLmXkyJG2ZF49K+JJsrOzGTx4MGfPngUgKSmJiRMnUrlyZXbu3Mnq1att+65bt45ixYoxfPhwd4Ur\n4lHS09N5+eWXbWvdWywW3n//fapWrUrDhg3dHJ2IZ1i/fj1Tp061/fvAgQO8+uqrLF68WBPUC7l8\nJfcnT57knXfesRuq4OXlhb+/v8v1iUUKk4MHD9oS+ytt2LCBnTt3OrSvX79eyb1IAdm5c6dDESvI\nuf+U3IsUjA0bNji0nTp1iqNHj1K7dm03RCQFJV/J/dy5czGbzRgMBmrXrs1bb71Fw4YNnRZKECmM\nXBXx8PHxcVnESkQKxvUWlxOR63e19zkp3PI1ofbHH38EoHTp0syaNYvGjRsrsRePUrduXWrVqmXX\nllvEylnhDxXRESk4TZs25fbbb7dr8/b2pnPnzm6KSMTzdOvWzWH4TcOGDalWrZqbIpKCkq/k/ty5\ncxgMBtq3b0/p0qULOiaRW8I+EoitAAAgAElEQVTEiRPp2LEjgYGB1KlTh48++oiGDRsSERHB888/\nj8lkwmQyMXDgQJ577jl3hyviMby8vJg6dSpt27bFaDTi7e3NZ599pqRDpAA1bdqUsWPH4uXlhdFo\npEuXLnzyySfuDksKQL6624sVK8bly5epWLFiQccjcssICgpi1KhRDu1Go5H+/fuzdOlSAAYMGHCz\nQxPxeLfffjtjx461Fdhp0qSJmyMS8Txt2rRhwoQJAIwcOdLN0UhByVfPfZUqVQCIjY0t0GBERERE\nRCT/8pXct2nTBqvVypYtW8jKyiromESuidVqJSUlxekyrJcuXXL6u3n58mXS0tIc2i0WCykpKU7P\nk5qaitlsdnp+Z+c2m82kpqY6fa2LFy86LYiVnp7O5cuXHdqzsrJcvpZIUaAiViLX52rvMxkZGQ7t\nropYWa1WLl686HTbpUuXyMzMLJiApcDlK7nv3bs35cuXJy4ujnHjxhV0TCJ52r59O2FhYYSEhBAW\nFsbWrVsBiImJ4bnnnqNVq1aEhoYyZcoUrFYrZrOZjz76iJCQEFq1asXgwYNJTEwEYPXq1XTs2JGQ\nkBAef/xx9u3bB+QUaevbty/BwcE88sgjfPPNN0DOH8iRI0cSFxdHXFwcw4cP59KlSwDMnz+fRx55\nhODgYPr06cOxY8eAnPWDe/ToQevWrenYsSMrV64EctbPHzJkCK1atSIkJISxY8eSlZWF1Wrl888/\np02bNgQHBzNw4ECio6Nv5rdYxK0OHjxIz549iY+PJyEhge+++87dIYnc0g4fPkyvXr1o3bo17du3\nZ8mSJUBOsv/GG28QHBxM69atee+992ydSTNmzCA+Pp74+Hj69+/PqVOnANi1axfdu3endevWdOnS\nhU2bNgEQFxfHoEGDCA4OJiQkhAkTJjj9ICHuZbDms0vk0KFDDBw4kAsXLvDggw/So0cP6tevT1BQ\nUKFZriw1NZX58+ezadMmTp48SUZGBmXKlOG+++6jZ8+eNG3a9KrHJyYmMnv2bKKiojh9+jQmk4nK\nlSvz8MMP8+STTxIQEHDNsURHRxMaGsqWLVuoXLnyf700jxYTE0O3bt3seua9vLxYsmQJw4YN4/ff\nf7fb/4033uDChQtMnz7drr1Zs2Y899xz9OnTx65nsESJEnz33Xf07duXmJgYu2M++eQTduzYwbJl\ny+zau3TpQuvWrRk8eLBde7ly5ViwYAFdu3a164E3GAzMmjWLmTNnsn37drtjnnnmGSpUqMCYMWPs\n2mvWrMn8+fPz+vaIFHppaWl06tTJ4WnajBkztM69iBMZGRl06tSJpKQku/YvvviCpUuX2pLzXL17\n96ZWrVqMGDHCrv2OO+5g+vTpdO3a1e5psslkYv78+YwbN479+/fbHfPyyy/z1FNPFfAVydXklTPm\na0Jt7gTCwMBAEhMT2b17N7t3776u1zAYDPz222/5OX2B+PPPPxk4cCBnzpyxaz937hzr169n/fr1\n9OrVi5EjRzqt1Jb74eb8+fN27X/88Qd//PEHixcvZurUqdSpU+eGXkdRFBUV5TDkxmw2s3TpUofE\nHnIKdVy4cMGhfefOnVSuXNnhkf+lS5dYsGCBQ2IPOcWqnBWx2rBhg9NHlHFxccybN89haI3VamX1\n6tX89NNPTs/hbLL6sWPHOHHiBHfffbfDNhFPsnPnTqfD5FTESsS5n3/+2SGxh5wK6lFRUQ7t69ev\n5++//3Zo/+eff/j2228dholmZ2ezYsUKh8Qecu5LJfe3lnwl99u3b7clvLn/L0xjIlNTUxkwYIAt\neWvVqhXdunUjKCiI33//nWnTphEfH8/8+fMJCAjg5Zdftjs+Li6OiIgIEhMT8fb25umnn6ZVq1Zk\nZ2ezceNGFixYQGxsLJGRkXz33XcEBQW54zI9lqsnQ35+fi73d3aMyWSiePHiTo8pUaKEy9fy9fW1\nDcPJ5evre91x+fr6YjKZHMYzuoo3d5uIp9Pvv8j1uVrhNx8fH9LT0+3a8/OeVbx4cYxGo9P3LLm1\n5GvMfaVKlahYsaLdf5UqVbqu/9y5jObcuXNtiX3v3r2ZPn067dq1o3Hjxjz11FOsWLGCsmXLAvDl\nl18SFxdnd/z48eNt47UnT57M0KFDeeCBB2jatCkjR45k/PjxGAwG4uLimDx58s29uCKgTZs2DvUV\nSpUqRffu3WnevLnD/t27d6d79+4O7e3btyc8PNzhD1P58uXp2bOnQ/ntvIpYhYeHYzKZ7Npr1KhB\nz549HX7fixUrRlhYGJ06dbrmeJ0V9hHxRK6KWHXp0sVNEYnc2h544AHuuOMOuzYvLy/CwsIICwtz\n2L9bt25Oi1jdd9999OjRg8DAQLt2Pz8/unXrRkhIiMNrOXu/EvfK95j7wqxXr17s27cPk8nEnj17\nnPbSzp07l9GjRwPw4YcfEh4eDkBCQgKtWrXCbDYTEhLC559/7vQcgwYNYuPGjXh7e/PTTz/lWexL\nY+6vz59//smUKVM4evQo99xzD8899xy1atUiNTWVqVOnsm3bNkqXLs2TTz5Jhw4dAFiyZAmLFi0i\nPT2dtm3bMnDgQIoVK8aBAweYNm0aJ0+epH79+gwaNIgqVapw/vx5Jk+ezK5du6hQoQL9+/enRYsW\nWCwW5syZY/vZR0RE8PTTT2Mymfjpp5+YOXMmMTExNGnShEGDBhEUFER0dDRTpkzhl19+4c4772Tg\nwIE0atSIzMxMvvzySzZs2ICvry/du3enR48eQM5j07lz53LhwgVatmzJCy+8QMmSJd32PRe5mWJi\nYpg0aRKbN2/GZDIxadIkGjdu7O6wRG5ZsbGxTJ48mb1791KlShWeffZZHnzwQcxmMzNnzmTt2rV4\neXkRHh5O7969MRgMbNmyhbfffhuLxULXrl154YUXCAgI4OTJk0yePJkjR45QvXp1IiMjqVu3LhkZ\nGUydOpWoqChKlSpFjx49nH54kBsrr5yxSCb3jzzyCKdOnaJChQps27bN6T67d++mT58+ALz66qtE\nREQAsGjRItsElM8++4x27do5PX7btm22Y8aOHeu0t/dKSu4Ln9ziOmvWrHFzJCKeS/eZyI2le6zw\nyStnzNewnMKuXLlyQM7YeVdriP/zzz8O+wN2k0muVjHx/vvvtz3u2rVr13+KV0RERETkWrglub9w\n4YJtzXB3yB0zZrFYmDhxosP21NRUpk2bBuSMM2vZsqVt2/HjxwHw9/enTJkyLs9RsmRJ2/bcY8T9\nMjIyHCbDQs5KAM5WGgBISUm57iJWrgpiJScna01gkX8xm80kJyc73eaqiNWlS5ecFuQREefS0tKu\nq4iVFF75Wi0nV3x8PCtXruTIkSNcunQJs9ns8Ec495fGbDaTnp5OUlISsbGxWK1Wty2d9MQTT7Bx\n40b279/PN998w5kzZwgLCyMoKIi//vqLadOmcebMGYxGIyNHjrRL4s+dOwdwTROCK1SowPnz523H\niPuYzWbGjx/PypUryczMpFmzZowcOZLAwEBWrVrFlClTSEhIoGrVqrz55ps0btyYP//8k9GjR/Pb\nb7/h7+9P37596du3L2lpaYwdO9Y20fqtt97irbfeomTJksydO5dZs2aRnJxMrVq1GD58OLVq1eKX\nX35h7NixnDhxgsDAQJ577jmNUxQBFixYwIwZM0hOTqZmzZoMHz6ce++9l19//ZUPPviA+Ph4jEYj\nS5cupXv37iQlJTF69Gi2b9+OyWSiQ4cOvP7661qxQ8SFlJQURo8ezbZt2zAajbRv35433ngDX19f\nvvzyS+Lj47FarfTr14933nmHqlWrujtk+Y/yPeZ+27ZtvPrqq057QV258lQGg8HpmuQ3S1paGtOn\nT+frr78mLS3NYXvt2rUZPny4wwSuBg0akJGRQaNGjViwYMFVz/Hkk0+yZ88efH19+fXXX6+6r8bc\n31jTpk3jyy+/tGtr1qwZkZGR9O3b1+5308/Pj+XLl9OnTx9iY2Ptjvn444/ZsWOHQ7XMzp0707p1\na4YMGWLXXrZsWVsRqyvvFYPBwFdffUW9evUK6hJFCp0dO3bw0ksv2bUFBgaycOFCunXr5vAE7Msv\nv2T+/Pl8//33du19+vRxeB0RyTFs2DCHIla9evWiVq1ajBw50q79jjvuYOnSpU7r+8it44YUsUpM\nTGTw4MFOk2JXrlwXv1KlSk6XLLyZ/vrrL44ePeryse7x48dZs2YNNWrUsFvpJrdQ0bX0EuXu46y4\n0c3Sv39/PTkgZ5Wjf9uxYwe//PKLw9OmtLQ0wsLCnP5+Dx8+3OnPc9WqVQ5/PCHn6VaXLl0cXstq\ntfLCCy9QqlSp672UIqN8+fJ89dVX7g7jmug+yx9nQ3HOnz/v9J6BnFXInP3Nnjt3Lhs2bLghMXq6\nwnSfyfUzm81Oi1ht2LDBbm5hrn/++Yfff/+de++992aEJzdIvpL7BQsWkJaWhsFgIDAwkP79+3PP\nPfdw8uRJ3n//fby8vJgyZQqQM75+9+7drFq1CrPZjMlkYty4cW5d0mzLli0MHjyYy5cvU7FiRV55\n5RVatmxJyZIlOXHiBPPmzWPRokXMnz+fX375hVmzZnHbbbcB2IoOXc+nWqPRffOWz507x7lz5646\nP6AoczXO0NUDLVftBoPB5TZX57BYLA6VdiVHbh2JwuLcuXPExsa6LH4mzjmbywK4vC9ctVutVi5e\nvFhgcRUV1/PkXQong8Fw3UWsfH19b0ZocgPlK7nfuXMnkJPofv3111SrVg3IWT3m448/JjMzE4vF\nQuvWrQEICwvjqaee4tlnn+XChQu88cYbrFu3zmVFtRvp3LlzDB06lMuXL1OhQgUWLVpktxpOrVq1\nGD16NLVq1eK9997j999/57333mPChAlAzpCN5ORkh9LMzuTu447rvFKZMmWKfDGtqKgoZsyYYdcW\nHBxM165defPNN+1+noGBgYwfP5733nuPEydO2NqNRiNvvfUWhw4dYunSpXav1bVrVxo1asS7775r\nl8zfeeedvPfeewwdOpT4+Hhbu7e3N2PGjHFrMbdb2YsvvujuEK5biRIleOKJJ9wdRqGSkJDAqlWr\n7D4Y33bbbXTp0oXvvvvObliOyWSia9eu/P777w5DOps0aUKdOnVuWtye4ttvv3V3CHKDmUwmwsPD\nmT9/vl37o48+yj333ENUVJTd/deoUSPuvvvumx2mFLB8JfenTp3CYDDQvHlzW2IPOQlL7dq1+fXX\nX9mzZ48tuQe49957+fDDD4mIiODs2bMsW7bMLW+Ey5cvtz3uffXVV+0S+yv17t2bdevWsWfPHjZs\n2EBCQgJBQUGUKFGC5ORkh0/BzuSeJ68CVnLjhYSEYLVa2bhxIxkZGTz00EN0794db29vhg0bxpIl\nSzh79iw1atTgiSeewMfHh9dee42FCxdy8OBBgoKC6Nq1KzVr1qR69er4+PiwdetWAFq2bEnnzp0x\nGo289tprLF++nPj4eOrWrcsTTzyBt7c3b7/9NgsXLuSPP/6gYsWKdO/eXYm9FHlBQUE8/PDDHDhw\ngNTUVCpWrEjjxo0xmUy0a9eOvXv3Ehsbi7+/P/fddx8BAQE8+OCDFCtWjOPHj2MymahVq5aGEIhc\nxUsvvUTJkiVZt26drYhVz549MRgMfPTRR7z11ltkZ2cTFhbGCy+84O5wpQDkK7nP7U1x9ge1Zs2a\nHDhwgCNHjjhsa9myJTVq1OCvv/5i27ZtbknuDx06ZPv6yg8fzrRp04Y9e/aQnZ3N4cOHCQ4OplKl\nSpw9e5aYmJg8z5U7GdPVBwi5uUJDQwkNDXVor1mzJm+99ZZDe+nSpW2FyK5kNBrp3LkznTt3dtjW\noEEDGjRo4NBerlw5Bg0alM/IRTzX7bffzu233+7QXrJkSYKDgx3ajUYjjRo1olGjRjchOpHCz8vL\ni4iICKfvZ61bt7YN23X2PiiFU74Gg5tMJgCKFy/usO2uu+4CXK/t/uCDD2K1Wvnzzz/zc+r/LLc3\n3Wg05jk+NjAw0PZ17njO6tWrAzlzCa42xjM1NdU2bvjKpxsiIiIiIjdKvpL73MmlzlY6qFKlCpCz\n4oGz7UFBQbbt7pAbu8Vi4cyZM1fd98rVL3IT/YYNG9ra9u3b5/LYffv22caxuXPycFGVmprqdFWb\ny5cvO12FIzs7m5SUFKeTYi9evOh04l9GRobT4Vlms9nlB7+UlBSnRazS0tKuaR6HiCeyWCwuVy7L\nyMhQgR2RApCamur0PctVESur1UpSUpIKLxZC+RqWU716dc6ePes0ub3jjjtsXx85coRmzZrZbc9d\nktBdq4Q0btyY1atXA7BixQqXE/esVitr164FcuYS1K9fH8gZ2uHt7U1WVhbLli1z+tgYYMmSJbZj\nXe0jBe/cuXNMmzaNo0ePUqxYMdq0aUPPnj2xWCx8/fXX/PDDD5jNZurVq0dkZCQBAQFs3bqVhQsX\nkpycTMWKFenXrx9169bl1KlTTJ8+nVOnTuHn50fnzp3p2rUr6enpzJgxg927dwPwwAMPMGDAAPz8\n/Fi1ahUrV67k0qVL3HnnnURERHDXXXfx+++/M3PmTM6ePYu/vz+PPfYYoaGhJCcnM23aNH799VdM\nJhPNmzenX79+eHt7u/k7KXJzHD58mF9//ZXLly9z22230bx5c8qWLUtsbCw7duwgKSkJX19f7rvv\nPmrXru3ucEUKneTkZN577z22b9+O0WjkkUceYdiwYfj6+jJt2jRbEau+ffvyzjvvcPfdd/PTTz/x\n0UcfcebMGcqWLctLL71E+/bt3X0pco3y1XPftGlTAA4cOMCqVavstt111114eeV8Zli/fr3dNrPZ\nzA8//ABAQEBAfk79n3Xq1Ml27mnTprF3716n+3366ae2eQPh4eGULFkSAH9/f9tY640bN9o+AFxp\n7dq1tjXPO3fubDe8R26szz77jKNHjwI5vfRr1qxh06ZNLF++nC1btpCVlYXVauXgwYN88cUXHD9+\nnC+//NL2lCkmJoZPP/2U5ORkxo8fz6lTp4CcnvWFCxfy888/M3fuXHbu3InFYsFisbB7927mzJnD\nvn37WLBggW15ub///puPP/6YlJQUPvnkE86ePQvk9N7PnDmTY8eOMX36dA4cOIDVasVsNrN161aW\nLVt2879xIm5w+vRpfv75Z9tTqwsXLrBp0yYyMjLYvHkzSUlJQE7v/c6dOx2KyolI3saOHcu2bduw\nWCyYzWbWrFnDlClTWLNmDV9++aXtifWRI0cYOnQocXFxvP7667bRDfHx8bzzzjv89ddf7rwMuQ75\n6rkPDw9n8uTJpKen8/rrr/P999/Tt29fGjRogLe3N82aNeOHH35g6dKlVK9ene7du3PhwgXGjx/P\nP//8g8FgoG7dugV9LdekVKlSjBo1ildeeYXMzEyefvppunXrRkhICGXKlCE6OppFixbZlvu84447\nHKqODh06lKioKJKSknj11VfZv38/bdu2BWDTpk3MmzcPq9VKYGAggwcPvunXWFTFxMTYkvEr7dq1\ny6HSJeRMrq5QoYLDUJyMjAzWr1/vdOjYzp07OXjwoNNzOBu6k5SUxLp165w+Cv3xxx85cOCA03P0\n6NHDoV3E05w8edKhLSMjgyNHjjgdVnfixAkqVKhwM0IT8QhZWVkOFZ0hp3Py9OnTDu3//PMPixYt\nchgmarFY2LJli23eodza8pXc33bbbbz66quMHj0agHXr1lGmTBnbKiH9+/fnhx9+wGKxMHbsWMaO\nHevwGt26dfsPYf837dq14+OPP2bEiBGkp6ezcOFCFi5c6LBfnTp1mDRpkm2cfq7AwEBmzJhBREQE\niYmJfPPNN3zzzTcO+0yfPl0r5dxEruoJ+Pj4OC3WYTKZXBbr8PPzc9perFgxihUr5pCsuzoHOJ94\nnvtaXl5eDkPUrqX6sYgnyH3K+2+uhqW52l9EnDMajRQrVsxhrpmvr6/L97/ckQr/pvemwiPfpVN7\n9+7Nu+++S6lSpbBarVSuXNm2rWnTpvTr1w+r1erwH0CHDh14+OGH/3v0/0Hnzp3ZuHEjkZGR1KlT\nh1KlSuHt7U3ZsmUJDg5m3LhxLF682OkSbQD16tVj3bp1REZGUrNmTfz8/ChWrBjVq1cnIiKC1atX\nu+3pRFEVGBjI/fff79Depk0b25OVKzVv3pzWrVs7/MEKCgqiXbt2DoU8jEYjISEhtGnTxuk5QkJC\nbCtJ5apatSrt27enbNmydu0+Pj6EhITQsmVLp68lUhTcc889DhW8b7vtNurUqYO/v79du8lkombN\nmjczPJFCL7eI1b899thjdO/eHYPBYNfeqFEjHn/8cYfhxCVKlKBDhw43NFYpOAars+VBrkNKSgqb\nN2+mdu3aDpOdli5dyowZM2yPXoOCgnjqqacYMGCAwx/0oi46OprQ0FC2bNli90Hpv+rYsSNZWVlF\npkJtRkYGixcvZu/evZQqVYoOHTrYJnVHRUXZxvM+9NBDhIeH4+3tzZ9//snSpUs5c+YMNWvW5PHH\nH6d8+fKkpKSwcOFCDh06RFBQEF26dKFhw4ZYLBbWrl3Ltm3bsFqttGzZkk6dOmE0Gjl48CDLly8n\nISGBunXr0qNHD0qXLk18fDwLFy7k2LFjVKxYkW7dunHPPfdgNpv57rvv2LlzJz4+PrRp00bJPTkV\nar29vVmzZo27Q7kmHTt25OLFi6pQmw9nz57lwIEDXLx4kUqVKnH//ffj5+dHamoq+/btsytipSE5\nBevbb7+lVKlSheY+k/wxm83Mnj2btWvX4u3tTXh4OD169MBgMLB161aGDRtGdnY23bp14/nnn8ff\n359Tp07x+eefc+TIEapVq0ZkZKQmtN9C8soZ/3Nyfy0uXrxIVlaWrVCCOFJyL/L/KLkXufGU3Avk\n/P0C9HtQiOSVM97wAYy5hZyU2IuIiIiI3Fj/eWzMxo0beeaZZ5gwYYLT7StXruR///sfPXv2ZMuW\nLf/1dCI3hNlsJikpyWkRq+TkZKd1GdLS0pwWxMrKynJawM1qtZKcnOx0VR2Roiw7O9vpilIA6enp\nKmIlUgAuXrxIamqqQ7urIlYWi4Xz58/rPasQynfPfXp6Oq+88opt3XpXqxj8888/WK1WDhw4wIsv\nvkiXLl344IMPHCYeirjL999/z8KFC0lJSaF8+fL079+fevXqcerUKaZNm8bff/9N8eLF6dy5M2Fh\nYaSnp/Pll1/y888/Y7VaeeCBB4iIiMDPz4+VK1eycuVK0tLSqFKlCgMHDuTuu+/myJEjzJw5k9jY\nWEqVKsVjjz2msfUi5CxJ++uvv5KZmUlAQADNmzenXLlyxMbG8tNPP5GcnEyxYsW47777uPfee90d\nrkihk5SUxKhRo/jxxx8xGo08/PDDvP322/j6+vL555/bilj16dOHd955h2rVqvHjjz/y0Ucfcfbs\nWYKCgnjppZc0obYQyXfP/eDBg20TCq1WK/Hx8U73q1y5Mnfeeadtv5UrVzJq1Kh8ByxSkP766y9m\nzJhhWwf/3LlzfPrppyQlJfHJJ5/w999/AzkfZhctWsTu3bv55ptv2LVrFxaLBavVys8//8ycOXPY\nu3cv3377ra03//Tp03zyySckJyfz6aef2grwXLx4ka+++opjx46556JFbhGnT59mz549tjXtk5KS\n2Lx5s62IVe4TsMuXL7Nr1y5iYmLcGa5IoTR27Fi2b9+O1WolOzubdevWMXnyZFavXs3MmTNtT6x/\n++03uyJWuYUXExISePfdd1XEqhDJV899VFQUW7duxWAw4Ofnx4gRI1x+ouvfvz/9+/fnxx9/ZNiw\nYcTHx7N48WLCw8O57777/lPwIv/V7t27HYbiXL58mfXr19vmi1xp586dHDp0yGn79Rax2rlzp5b2\nkyLNVRGrw4cPOy1idfLkSSpWrHgzQpNbTP/+/Tl37py7wyh0rFYrcXFxDu2LFi1yOuLi9OnTPPro\now73n8Vi4ZlnnnG5Br64Vr58eb766qubes58JffLly8Hctb9nj17NvXq1cvzmObNmzNz5ky6detG\ndnY23377rZJ7cTtXRTlKlCjhtN3X19dpEavc9ut9LZGizNVwTlcF6VwVtxLPd+7cOWJiYjSk9zq5\nWhDRYrE4/QANOJ1LBnDp0iWX28S57Oxst5w3X8n9wYMHMRgMhIaGXlNin6tmzZqEhoayYcMG9u7d\nm59TixSoli1bsmbNGrtS27lFrPbs2WP3GNJoNBIaGkr58uVZvHix3eu0bduWRo0a8cMPP9jdzLlF\nrLZs2WLXe+Lj40OrVq1u4JWJ3Pruuecejh07ZjeZL7eI1bFjx2zD5SCnGE+NGjXcEabcIkwmE1Wq\nVHF3GIXOhQsXuHjxol1bQEAAPj4+Dr36xYoVo2zZssTExNi9lxkMBipWrKgq0dfp9OnTbjlvvn5K\n58+fB3L+MF+v2rVrs2HDBpdj9EVupnLlyvH222+zdOlSzp49S40aNejRowfe3t4MHTqUxYsXc/Dg\nQYKCgujatSs1atSgevXqFCtWzK6IVYcOHTAajbz++uusWLGC+Ph4WxErLy8vhg8fzqJFi/jjjz9s\nRaxUkEeKusDAQB555BG7IlaNGjXCZDLRvn17hyJWAQEB7g5ZpNAJCAjAaDRy6dIlDAYDJUuWpFSp\nUkBOZ9bFixfJzs7G19fXtm+5cuVITk7m8uXL+Pj4ULp0aSX2hUi+flJeXl6YzWYyMjKu+9jcx0Cu\nHruK3GzVq1fnjTfecGj39/fnmWeecWg3GAx06NDB6TyTevXqOX2aFRQUxPPPP18wAYt4kIoVKzod\nR1+iRAlatmzphohEPIvBYKB06dKULl3aYZufnx9+fn4O7d7e3gQFBd2M8OQGyNdqOVWqVMFqtbJr\n167rPjZ3OI4mRYmIiIiIFKx8JffNmjUD4PDhw6xdu/aaj/vxxx/5+eefMRgMPPjgg/k5tch/kp6e\n7jD2EHKKWF24cMHp5EiFnEQAACAASURBVKOkpCSnE48uXbrEpUuXHNozMzNJSkpyaLdarVy4cEEF\nQUT+JTs72+lEPavVSlpamtsmpYkURtnZ2U7fy7Kzs10Wq3J2j+UunelqUq7cuvI1LKdHjx7MmTMH\nq9XKsGHDSE1N5bHHHsNgMLg8Zs2aNbzzzjtAzqSYnj175i9ikXzIyspi1qxZbN++nezsbOrUqcPz\nzz/PbbfdxpYtW1i0aBEXL16kXLly9O/fn/r163Py5Em++OILTp8+TfHixenYsSPdunUjLS2N6dOn\ns2fPHgAaN25MREQEJUqUYMWKFaxcuZL09HQqV67MwIEDqVatGkeOHGHGjBmcO3eOkiVL8thjj9G2\nbVs3f1dE3O/gwYMcPHjQoYhVTEwMP/30EykpKSpiJXINMjIySExMxGw2YzQa8ff3x9/fn+zsbM6f\nP28bSu3n50eZMmUwGo0kJSVx8eJFrFYr3t7eBAYG4uPjQ3p6OomJiWRnZ2M0GgkICNAymIVIvpL7\nu+66i759+zJr1iwyMzN55513mDJlCi1atKB69er4+/sDkJKSwokTJ9ixYwdnzpzBarViMBjo27cv\n1apVK9ALEbma7777jq1bt9r+feTIET7//HMef/xxZs6caWuPi4tjwoQJfPrpp4wfP9621n16ejpL\nliyhUqVKHDx4kJ9//tl2zJ49eyhWrBgPPPAACxcutLVHR0fzySef8OGHHzJ+/HjbH9bU1FRmzZpF\nlSpVqFWr1g2+cpFb1+nTp+1WTsstYhUeHs6WLVtsT8xyi1jddtttGtIp4oTFYiEhIcHWM2+xWEhK\nSsLb25vU1FS7OZJpaWkYjUZ8fHzsVqTKysoiISGBcuXK2S16YrFYSExMxMfHR/MlC4l8T31+7bXX\nSExMZMWKFUBOUrR06VKX++c+1unevTuvvfZafk8rki+7d+92aDt8+LDTROHy5cts2LDBaRGrXbt2\nOS1itXv3bqePO5OTk1m3bt3/x959xzV17n8A/xwS9t5gtajgnnXUUTcOhlrcA1xYR1vbn73X3rZq\nbW+rt247nLXirigqitWqFQFFcYKAoqjXutgJm5B9fn/wyrnEnKBGIIzv+5/ik5PkieWYb5485/vh\nvfj86tWrVNyTRk1fiNWdO3coxIqQ1yCVSnnfgyQSCW+IokQi4d0iqlQqebeuau5DxX39YHBxb2Ji\nglWrVmHQoEHYsWMHbt++XeXxrVu3xocffgh/f39Dn5IQg/EFTAmFQlhaWvIeX50hVvq+yqQQK9LY\n6Qul0ncuUYgVIfxMTPgvoWQYBgzD6OybNzEx0Xuf1x0ndc8bNy319/eHv78/cnJycPnyZWRlZSE/\nPx8KhQJ2dnZo1qwZunbtitatW1fHfAkxyPDhw/Hrr79qjQ0YMIALVascYuXq6sobYiUQCDB06FB4\neHjg0KFDWo+lL8SqRYsW8PPzQ3R0tFZ0urm5OQYNGlTNr5KQ+qV169ZIT0/XWnF0cnJC+/btcf/+\nfRQVFXHjAoGA3kcI0cPc3BympqZQKBRa4zY2NmAYRmc13sbGBmZmZjoXspubm8PW1halpaU6IVb6\nFr1I3VNtiQTu7u4YM2ZMdT0cIdVq0KBBYBgGf/31F6RSKXr37o2goCAuYOro0aPIyMhA69atMWHC\nBJiamuLzzz9HREQEUlNT4ezsjPfffx8+Pj7w9vbWCbHy9/eHiYkJvvzySxw7dgwikQgdO3bEhAkT\nuOeIiIjAvXv34OnpiXHjxsHd3d3Yfy2EGJUmxCo5ORklJSXw9PRE9+7dIRAI4Ofnh8TERC7EqmvX\nrrx9ugkhFcW3m5sbCgsLIZPJIBQKYWdnBzMzM5iamsLExIQr5CuHWLm6uqK4uFhviJVcLoepqSns\n7e0hEAiM+RLJa6C4MdJoDBw4EAMHDtQZ9/b25r0OxNbWFqGhoTrjDMNw31i9qEOHDujQoYPOuLOz\nM+bPn2/gzAlpuKoKserfv78RZkRI/SQQCODs7KwzXlWIlaWlJe/2VAqxqt+qpbgXi8W8v1CnTp3C\n8ePHkZ2dDXd3d4wYMQJBQUH06Y8QQgghhJAa8EbF/YkTJ7Blyxbk5OTg5s2bWrd9++23Wm0B79+/\nj4sXLyIiIgLbtm2jr1dJnaJUKlFUVARHR0edi4YKCgpgbW2t0yWgtLQUgO4Fs3K5HGVlZXB0dNQa\n17Qms7W1pQsDCXkFmhArCwsLWhQipBJNwJRAINDKGNI3DlSEWDEMo/Mep1arwbKszjlmyGORusHg\n4n7Lli34+eefud71IpGI+wonPj4e4eHhvPdLTk7GokWLsH37dkOfmpBqde7cORw6dAilpaVwdXVF\naGgounTpgkePHmHbtm149uwZLCwsEBgYiHHjxkEikWDbtm1cf+5u3bph3rx5sLGxwbFjx3DixAmU\nl5fjrbfewrx58+Dj44PU1FTs2LEDubm5sLGxwfjx4zF8+HAjv3JC6q7KIVZmZmZ45513eLe8EdLY\nFBcXo6ioCCzLQigUwsnJCRYWFlohVpqtOFWFWDEMg6KiIt4QK4lEgoKCAp0QK6VSCbFYzDWhsLGx\ngaOjY5UhpqT2GfSR69mzZ9i0aRP35yZNmmi1BtyzZw+Ain1effv2xaFDh7B161a0bNkSLMsiPj4e\n8fHxbzh1Qt7cgwcPEBYWxq3C5+Xl4ccff0RBQQHWrVuHZ8+eAajoIXzkyBFcuXIFe/fuxfXr18Gy\nLFiWxc2bN7Fnzx5cu3YNhw4d4s6FjIwMrFu3DoWFhdiwYQNyc3MBVKz479q1C/fu3TPOiyakjpPL\n5Th37hwXsCOXy3H16lVkZWUZeWaEGFd5eTkKCwu51pZKpRIikUjrv0DFqnthYSGXNPtiiFVhYSHK\nyspQXFzMPZYmxErzX023HE2IlVwuh0gk0uouV1paqhWEReoGg4r7iIgI7hdo3rx5iI6ORrNmzQBU\nfKK8fPkygIo+3j/99BM6d+6MQYMGYd++fdwV2qdOnaqO+RPyRvjCrTQhVgUFBTq3Xblyhfc+V69e\n5R0vKirC6dOn9YZYEUJ0ZWRk6LT0A/hDrwhpTF5sXQlUFN8lJSWvHWLF91hKpZJb7HpRaWkpb7gc\n3+MQ4zKouE9ISAAA+Pj44LPPPtO67cKFC9xXQv379+eKeaCif7Gvry9YlkViYuIbTJuQ6qEvxEpf\n8JS+zgL6xgFonQOv8tyENHb6rkmha1VIY6dvj7u+a1I0IVZ8j/O6j0XhVvWHQf9HMjIywDAM+vTp\no3PbxYsXuZ/52ph5eXkBqNj+QIixDRgwQCcpVhNi9WJgjkAggK+vL+9e+eHDh8PX11fnH8WWLVti\nxIgR8PDw0Bo3NzfnbctJCKnY6vli0wUKsSLkf6FUlZmamsLGxkbnwy/DMLC1teVdrLKxseEdNzc3\nh42Njc57meaxrKysdO6jbwGLGI9BF9Rq9le5urrq3Hbp0iXu5969e+vcrtnOw/eVKyG1zdXVlTfE\nSigUYtGiRXpDrCwsLBAbGwug4gOCn58fGIbBV199hePHjyMvLw8dO3bE+PHjIRQKsWTJEhw+fBj3\n7t1DkyZNMGbMGAqxIkQPExMT+Pv7U4gVIS8wNTXlAqaUSiXMzc21gqcqh1jZ29vD1NQUDg4OEAgE\nKCsrA6A/xMrS0hL29vZVhlg5OztDKBRCIpHAxMREb8FPjMug4t7a2hrFxcU6+7Lu3bsHkUgEhmHw\n1ltvcfvwK9NcoGhnZ2fIUxNS7Vq2bIlFixbpjNvY2GDWrFk64wzDYMSIERgxYoTObe3bt0f79u11\nxp2dnTFv3rzqmTAhjYCVlRX69etn7GkQUueYm5vDzc1NZ7yqECs7Ozveuut1Q6wYhoGDgwMcHBwM\nnD2pDQZty/H29ubdNx8dHc39PGjQIJ37FRcXIyYmBgzDoGXLloY8NSGEEEIIIUQPg4p7zV76Gzdu\n4NChQwAqWgpqWmACgJ+fn9Z9ysrK8K9//QslJSUAQCsypN4rKSmhFmCEVANNhw5NSz4NlmVRWlrK\nbeckhFSNZVkolUrezjkqlYprb1mZWq3mPcc0j/XieUnqPoO25UycOBG//fYbJBIJvvnmG6xbtw5l\nZWVcYlmnTp3Qo0cP7vhly5YhOjoa+fn5ACq25IwfP756XgEhtaysrAxbt27lvrnq2rUrPvzwQ70d\ndggh+iUnJyMlJQUKhQJ2dnbo168fPDw8kJmZiUuXLqGkpARmZmbo2rUrOnbsaOzpElJnGRJiVVhY\nyH2wfpUQK1I/GLRy7+zsjHXr1sHMzAwsy3IXdrAsC2dnZ6xcuVLr+KtXryI/P59LU1u1ahWcnJyq\n5QUQUtv27t2LmzdvciFWSUlJ2L17t7GnRUi98/TpU9y8eZNrsFBcXIzo6GhIJBJER0dz3/TK5XJc\nu3YNmZmZxpwuIXWWWq1GXl7ea4dYadJpgYpGJ3l5eVWGWJH6waCVe6BiT31kZCTCwsKQkpICoVCI\nnj17IjQ0VKcLSMuWLfHkyRN0794dixcvpgjxWlRcXIzy8nIsWLDA2FNpMDTfQFV26dIl3L171wiz\naZjy8/MpB6ARePz4sc6YTCZDWloab0e1x48fo0mTJrUwM0LqF6lUyrt9pqoQK76tOCqVSm+IlUQi\ngZmZ2ZtPltQ4g4t7oKJoX758+UuP++STT/DVV1/h7bfffpOnI6ROYBhG5x9RvpAQQkjV9IVSmZub\nv9bxhDR2+oKkNCFWL75nVWeIFal73qi4f1V8rQH5hIWFYc2aNWAYBmlpaTU8q8bBzs4OlpaW2Lhx\no7Gn0mBERUUhPDxca2zcuHEYO3askWbU8CxYsIAKuUagTZs2SE9P17r4z9nZGe3bt8eDBw9QWFjI\njQuFQgqxIkQPc3NzmJqaan3jpQmeMjEx0Wn+YGtrC1NTU0gkEq1xCwsL2NjYoKSkROviW4ZhYG1t\nXbMvglSbWinuXwddlU3qulGjRsHCwgJxcXFgWRYDBgzg7XlPCKmak5MT/Pz8kJKSgpKSEnh6euKd\nd96BQCCAn58fkpKSuBCrLl26UIgVIXowDMMFT0mlUq0QK00wVVlZGRiG0Uqn1Rdi5e7ujsLCQp0Q\nK1I/1LninpC6jmEYDB8+HMOHDzf2VAip9zw8PODh4aEzbmVlhffee88IMyKkfhIIBLzNSgwJsRIK\nhbwhVqR+oA1UhBBCCCGENBBU3JN6S6lUIjc3l/eKf7FYrLOXEABKS0tRUFCgMy6Xy5Gbm6sT/MGy\nLPLy8rTaiGkUFRWhqKhIZ1wqlSIvL09ni5mmVRlfO7GCggKu7V9lEokEYrFYZ5yQhkShUGi15NNg\nWRYlJSW857hEIuE9LwlpSF4WPMV3ztRGiJW+59D3WKR20bYcUi9dvnwZe/fuRVFREezs7BAcHIz+\n/fsjIyMDmzZtwuPHjyEUCjFo0CDMnDkTSqUSv/32Gy5fvgy1Wo02bdpgwYIFcHZ2xpkzZxAREQGJ\nRAInJyfMnj0b77zzDh4+fIgtW7YgKysL5ubm8Pf3x8SJE1FWVoYtW7YgKSkJANClSxd89NFHsLGx\nweHDh3Hy5EnIZDJ4eHhg/vz5aN26NZKTk7Fjxw6IRCJYWVlh3Lhx8Pf3R35+PjZu3Ih79+7BxMQE\nvXr1wty5c2Fqaoo9e/bg/PnzUCqV8PLywscff4ymTZsa+W+ekOp169YtpKSkQKlUwtbWFv3794eH\nhwcyMjJw6dIllJaWwtTUFF27dkWnTp0gkUgQFxeHrKwsMAwDLy8v9O/fny7AJg2KWq2GWCzm2lha\nWFjA2dkZAoEARUVFKC4u5rKDnJycYGFhoRNiZWdnB3t7e50QK0tLSzg7OxsUYqVUKiESibhFKmtr\na24rUH5+PsrKygAAZmZmcHFxgVBIZaYx0Mo9qXeys7OxefNmbtW8uLgYW7duRUZGBn7++Weud7ZS\nqcS5c+fw559/4ujRo4iPj+dWGtLT07Flyxbcv38fu3fv5lb58/Pz8dNPPyE/Px/r169HVlYWgIre\n28eOHeM+VCQmJnIhVrdu3cKuXbtw9epVHD16FDKZjJvn+vXrkZ+fjx9//BEikQhAxYrj3r17cffu\nXWzbtg337t0DUPGPeUJCAg4fPoy//voLZ8+e5VZAnjx5gh9//JEuOCcNytOnT5GYmMj9npeUlHAh\nVufPn+f6bSsUCly/fh2ZmZmIj4/nzkuWZfH48WPcvHnTaK+BkJqgCaDS0BTu5eXlKCoq4t4LlEol\nF171YohVUVERb4hVeXm5wSFWlQt7oCKxvbi4GMXFxVxhD4A7lhgHfaQi9c7Nmzd5t8/ExMTg2bNn\nOsdfv35dpw0YAKSlpSE+Pl5nXC6X48yZM1pt+DSuXbuGlJQU3ufgK7yLi4tx9uxZruCv7PLly0hN\nTeV9Dr4LmTIzM/H8+XM0a9ZM5zZiXMXFxZBIJDotUknV+M4LmUyGw4cP8361/9dff/FuK7h79y5v\nIBapWllZWb1ZMNB0dOH7N74h4vv/Ul5ezhtIxbKs3vTmvLw83nF9QVUqlYr78Pyi7Oxs3nG+7alA\nxXvp06dPG3UOjEql4q0/ahqt3JN6x8rKinfc1taW9x8RS0tL3vuYmppy7cBepK/lnpWVFe9j6XsO\nzbz0PRZf2p++52AYhlJbSYOi702/MRcDhBDypmjlntQ7vXr1QkREhNbKup2dHXx9ffH48WNcvXqV\nG2cYBiNGjEBJSQm2bNmi9TiDBg3CkCFDcObMGa3VEHd3dwwfPhzXr19Heno6Ny4QCDB06FB4enri\nwIEDWo/l5+eHrl27Ii4uTmvF0cfHB35+fjh//rzWaoiFhQV8fX2hUChw+vRprccaMWIEnJ2dua0/\nGt27d6fWZHWUnZ0dGIbB5MmTjT2VeqWgoABRUVFaq/HOzs4YOXIkjh8/rhNiFRQUhHv37uH27dta\nj9OnTx+0bdu21ubdUISHh+tdfKhr7OzsIJVKG803lyUlJTrNH+zs7GBtbY3s7Gyt9wZTU1O4u7sj\nJydHJ8TKw8OD2zpTmaOjI0xNTZGbm6s1bmFhARcXF2RlZWmdlyYmJvD09OS281SmeV96cRuOtbU1\nnJ2dDXj1DcezZ894W5DWNCruSb1jZWWFZcuW4ciRI3j8+DG8vLwwbtw42NjY4MMPP4Snpydu3rwJ\nW1tb+Pv7o2vXrgAqinPNFpnevXtj5MiREAgE+PrrrxEZGYnMzEy0atUK48aNg1AoxKJFi3D06FGk\npKTAxcUFo0ePRsuWLdGyZUtYWloiNjYWADBgwAAMGzYMDMNg8eLFiIqKQl5eHjp27Ihx48ZBIBBg\n6dKlOHLkCNLT0+Hp6YkxY8bAzc0NISEhcHR0xOXLl2Fubo6hQ4eiX79+AIBFixbh1KlTKC4uRrdu\n3RAUFGSsv3JCaoSjo2OVIVa3bt3SCrGys7NDjx49YGlpiUePHkEgEKBNmzZo1aqVsV8KIdVK8020\n5mJXa2trbszNzQ3FxcVQKBSwsLDggqcqh1iZmprCzs7ulUKsNGm0lR/L3d0dRUVFkMlkMDMzg52d\nHddHXygUQiKRwMTEBLa2ttw3zS4uLigpKYFarYaVlZVRilpSgWHr0Ia7sLAwrF69GgzD4O7du8ae\nTq16/vw5fH19ER0dXa0dUQIDA6FQKLBx48Zqe0xCatqCBQtgamqKkydPGnsqryQwMBAlJSW0ck/q\nFc3KfX04zwIDA5Gbm9toVu5Jw/Ds2TO4ublV+zn2spqR9twTQgghhBDSQFBxTwgqrurPycnR6cTB\nsixyc3N5OxQUFRXxdtSRSqXIzc2tN10oCDE2hULB9e2ujGVZFBcXUygOIdVAqVRWW4gVqdtozz1p\n9E6fPo3Dhw9zIVahoaHo1q0bHjx4gC1btiA7OxtmZmbw8/PD5MmTUVpaii1btuDWrVtgWZYLsbK1\ntUVERAROnToFmUwGd3d3zJ8/H23atDH2SySkzkpKSkJqaupLQ6y6dOmCzp07G3u6hNQ7KpUKIpGI\naz37YoiVJh1dKBTCxcWFC7HKz8+HWq3WCrEi9QOt3JNGLT09HXv27OENsdqwYQPX11culyMqKgqX\nLl3Cnj17kJSUxK1mJCcnY/fu3bhy5QoiIyO5f0BzcnKwfv16rcAPQsj/PHnyBElJSVohVufOnUNZ\nWRmio6O1Qqxu3LiBjIwMY06XkHopPz9fK1PixRArDU0QlibESpMnUznEitQPVNyTRu3atWs6YwqF\nQm+I1fXr13H9+nXecb7HKikp0WqnSQj5H77gKblcjrS0NN5tAk+ePKmFWRHScLAsy7utVCKRcIta\nlalUKr0BV3zHk7qJinvSqFlbW/OOVxVixXcfS0tLvY9FwVOE8DM3N+cd13fO8IW+EUKqxhcKZ2Ji\nAhMT/hJQIBDwjus7ntQ99H+KNGoDBw7UKSQ0IVYvhuJoQqxGjBih8zh+fn4YOnQohELty1h8fHzg\n4+NT/RMnpAFo06aNTiHh4uKCdu3awdHRUWtcKBSidevWtTk9Quo9hmF4g8psbW15xy0sLGBjY6Nz\nXpqYmOhdwCJ1T526oDYgIAAdO3Y09jRII+Ls7Ixly5ZphViNHz9eK8QqNTUVzs7OWiFWVlZWiIuL\nA8uyXIgVACxZsgRRUVEQiUTo2LEjxowZY+RXSEjd5ejoCH9/fyQnJ6O0tBSenp7o2rUrF2KVlJTE\nhVh17dqVQnEIMYAmmEqzraZyiJUmEEulUsHS0hJ2dnZaIVZyuZwLwtK3ok/qnmop7nNycnD69Gkk\nJiYiKysLRUVF+OCDDzBhwgQAwJo1a9CuXTsEBARU+bWOh4cHPDw8qmNKhLwyLy8vLFy4UGfcysoK\nISEhvPfx9fWFr6+vznibNm3w+eefV/scCWmo3NzcuA/HlVlaWqJv375GmBEhDQvDMLCzs+P9cGxh\nYQELCwudcaFQCGdn59qYHqkBb1Tcy2QyrFq1ChEREdzFTyzLcpHJGkePHkVhYSE2b96MtWvXon37\n9m82a0IIIYQQQogOg/fcl5aWYsqUKThw4AAUCgVYluUNOpBIJCgoKAAAPHr0CMHBwUhOTjZ8xoS8\ngeLiYohEIp1xmUyGrKws3hCrnJwc3i4BBQUF3O92ZRKJBDk5OVwbMQ2VSoXs7GxIpVKd+4jFYhQV\nFb3uyyGkQdAXYqVWq1FcXAyFQmGkmRFSv7AsC4VCofP+A7w8xIovRO51H4vUDQav3C9atAhpaWkA\nACcnJwQHB6Nbt26YNWuW9hMIhfj8888RFhYGsViM8vJy/OMf/8DJkyd5vwoipCbI5XJs3boVV69e\nBcuy8PHxwSeffAJXV1ecOnUKR44cQXl5ORwcHDB79mx0794d9+/fx5YtW5CTkwNTU1P4+flhypQp\nKC0txaZNm7gPqZ06dcLHH38MOzs7HDx4EH/++Sfkcjnc3Nwwf/58tG3bFklJSdixYwfy8/NhaWmJ\noKAgjBo1CmKxGL/88gvu378PhmHQs2dPzJ8/n84N0mgkJibi9u3bUCqVsLGxQf/+/eHp6Ynnz5/j\n0qVLKCsrg1AoRJcuXdClSxdjT5eQOksqlUIsFkOlUnFbcezt7Q0KsSorK0NBQQHUajUYhoGDgwNs\nbW25HviaD9xWVlbcY5G6w6CV+8uXLyM2NpYrRs6ePYuPP/4Yffr00TnWzMwMs2fPxsmTJ9GjRw8A\nQGZmJiIjI99s5oS8hiNHjuDKlSvcysTDhw+xdetW3Lt3D/v27eP6ABcWFuLnn3/mQqxycnIAVKws\nnjhxgguxqvztU2pqKhdidfz4cS7oIzc3Fxs2bNAKxgIqAkQOHDiAtLQ0bN26Fffv3wdQsUpy7do1\nHD58uNb+XggxpsePH+PWrVvcts7S0lJER0ejrKwM58+fR1lZGYCKVcKbN29SiBUheqjVauTl5XGr\n6SzLoqioCOXl5QaFWInFYm7FnmVZFBQUQC6XQywWa32TJpFIUFxcXEuvkrwqg4r748ePA6j49Pfj\njz++UiSxg4MDNmzYwLUdPHfunCFPTYhB+AKm7t69i0uXLumMKxQKnD59mnebzLVr1147xOrMmTO8\nyX6XLl3CnTt3XmmuhDREfKFUVYVY8YVeEUIqVu31bY2urhCr0tJS3vcyCreqewwq7m/evAmGYTBk\nyJDXupra1dUVw4YNA8uylNpJahVff15TU1PePr9AxYdRfY/D91j6xqt6LFtbW94QH+olTBqL1w2x\n0nc8IY2dvk6EJiYmNR5iReFWdY9B/0c0FyR6e3u/9n29vLwAgC4eJLXK399fZ2zIkCHw9fWFlZWV\n1rinpyeGDx+Odu3aaY0LhUIMGzaM97H8/f0xbNgwmJqaao23bt0aw4cPx1tvvaU1bmlpqbedJt/j\nE9IQ6Qux6tChA4VYEfIazM3Ndd5/GIaBjY1NtYVY2dra8i4+6VskI8Zj0AW1QqEQMpnMoCulNV8P\n6VuZIaQmvPfeexAIBPjrr78glUrRu3dvBAYGwsTEBMuWLcOxY8eQkZGB1q1bY+zYsRAKhfjnP/+J\nyMhILsRq1KhRaNGiBVq0aAErKyvExsaCZVkMHDiQK9KXLFmCEydOIC8vjwuxEggEWLJkCSIjI3Hv\n3j14enpizJgxcHV1xdSpU+Ho6IiEhASYmZlh6NCh1NubNBqaEKuUlBSUlJSgSZMm6Nq1KxiGgZ+f\nH27dusWFWHXp0oVCrAjRg2EYuLm5oaioCDKZDEKhEHZ2dloBVGVlZWAYBtbW1gaHWDk5OUEoFEIi\nkXAF/4sLZMT4DCru3d3d8ejRI6Smpr72fTV7nN3d3Q15akIM1rt3b/Tu3Vtn/O2338ann36qM25l\nZYXg4GDexxo8eDAGDx6sM966dWv885//1Bl3cHDQ6SQFVKyGBAYGIjAw8FVeAiENjpubG4YOHaoz\nbmlpydukgRDCT1N8v4hhmCpX6l8nxIphGNjb28Pe3r56Jk1qhEHbcvr06QOWZXHp0iX897//feX7\nHTt2DHfv3gXDy7a7gQAAIABJREFUMHj33XcNeWpCCCGEEEKIHgYV9+PHj4eJiQlUKhU+/fRTZGdn\nv/Q+R48exTfffMP9ecyYMYY8NSFvpKioCHl5eTrjUqkUmZmZOh061Go1srKyeLsB5OfnQywW64xL\nJBJkZWXxhlhlZmbyhlgRQnSp1WoUFRVRiBUhr+hlwVN8XajUajUXRvqqj0XqNoO25bRt2xZTpkzB\n/v378ejRI/j7+2PUqFFaFyDm5ubi8uXLSE1NxalTp3D//n2wLAuGYTBq1Ch07Nix2l4EIS8jk8mw\ndetWXLt2DSzLomXLlvi///s/uLq64uTJkzhy5AikUim3faZnz55IT0/H5s2bkZeXB1NTUwwfPhxT\np05FaWkpNm7cyG1L69ChAz755BPY2dkhPDwcf/75JxQKBVxdXTF//ny0a9cOiYmJ2LFjBwoKCmBh\nYYGgoCCMHj3ayH8rhNRdz549w6VLlyCRSCAUCtG5c2d07drV2NMipM7S9LR/WYiVhYUFXFxcwDAM\nCgoKuNaXmq045ubmekOsSP1gcELt4sWLkZ2djejoaJSXlyMiIgIAuJZLu3btwq5du7jjNZ8Iu3Xr\nhu+///4NpvxmvvzyS4MCtPbs2YNevXppjWVkZCAsLAzx8fHIzMyEpaUl3n77bQQGBmLKlCmUMlqH\nHDlyBFevXuX+/OjRI2zZsgUTJ07E/v37ufHCwkJs3LgR69evx4YNG7hwDoVCgZMnT8LLywspKSla\n15vcuXMHu3btQs+ePREVFcWN5+XlYcOGDVi5ciV+/vlnrj+wVCpFeHg4vL290aFDh5p+6YTUOzKZ\nDDExMdwqo1KpRGJiIlxdXXU6TxFCKlbfRSIRV2tpQqzMzMxQUlKiFWIllUpRWFgIMzMzrZ72SqUS\nIpEIbm5uWt9Ka0KszM3NYWZmVnsvihjM4OJeIBBg06ZNCAsLw7Zt27RaWzIMo/P1jrm5OUJCQrBw\n4UKddk31wYtzjouLw8KFC7W2a8jlcqSmpiI1NRWHDx/Gtm3b0LRp09qeKuHBFzx17949vSFWZ86c\n4U3du379OlJSUnTGb9y4wfu8paWlekOsrl+/TsU9ITwyMjL0hlhRcd94qVQqPHv2zNjTqJP4AqwA\n8G5DBaA3qEqlUiErK4v3tuzsbN6e+UQ/Q7pKVgeDi3uN0NBQTJ06FWfPnsWNGzfw8OFDFBcXQ6lU\nwt7eHk2bNkX37t3h5+fHexV3bfv0008xY8aMlx4XFRWFsLAwAMDIkSPRrVs37rb09HR8+umnkEql\nsLa2xrx589CzZ0+UlZXh2LFj+OOPP/Dw4UN8+OGHiIiIoBX8OoCvN6+ZmZnerxlf7LGtYWNjA2tr\na61VkMrjfPSFWL1KsjMhjZG+sCoKsWq8qMNe1eRyOQoKCnTGraysUF5erlP8CwQCmJqa8l4DZmNj\nw1v8V/U+R/Qzxu/uGxf3QMX+rdGjR9eLPcRNmjRBkyZNqjzmwYMH+P333wEALVq0wPLly7Vu//77\n7yGVSmFubo49e/ZoXT/Qv39/tG3bFmvXrsX9+/exd+9ezJkzp/pfCHktAQEB2Lhxo9aYJsTq7Nmz\nWt/AeHp6YtiwYbh58ybS0tK4cU2IVZMmTbS28gCAn58funbtigsXLmhd/Ne6dWuMGDECMTExeP78\nOTduaWmJgQMHVvfLJKRBaNKkCRwdHbWKFQqxatw0i22EH8uymDZtGu7du8eNWVpaYu/evTh9+jS2\nb9+udfy//vUvtGrVCnPmzNFaXe7Xrx9WrlyJSZMmISMjgxt3cHBARESE3oUvUrdUS3HfkCiVSnzx\nxReQSqUQCARYs2aNVuDW7du3uS0eEydO5L0weM6cOfjzzz+5vdizZ8+meGYj69u3L4RCoVaIlb+/\nP0xMTPDNN9/g+PHjXIjVmDFjIBQK8Y9//APHjx/XCrFq3rw5mjdvDmtra8TFxYFlWQwYMABDhgwB\nACxduhQnTpyASCRCx44dERQUBBMTEy7EKj09HZ6enggKCoKrq6uR/1YIqZs0IVbJyckUYkXIK2AY\nBhs3bkRYWBhu3LiBpk2bYtasWfDy8sLcuXPh5OSEP//8E0KhEEFBQQgICAAAbNq0CZ9++inUajWm\nT5+OWbNmwcLCAtu2bcOOHTtw584deHt7Y/bs2VTY1yNU3L9gz549uHPnDgAgJCQEnTp10rr9r7/+\n4n5+//339T7OuHHjcOfOHYhEIly/fl3nYlxS+959913efIVmzZphwYIFOuNWVlaYMmUKpkyZonPb\noEGDMGjQIJ3xVq1a4R//+IfOuL29PWbOnGnQvAlpjCwtLXlD5wgh/BwcHHjffxiGwYQJEzBhwgSd\n23r06MEV7R999BE37uHhgSVLltTcZEmNMqi4/+qrrwx+QhMTE5iZmcHS0hIuLi5o0aIFunTpUif2\n44tEIm7rhrOzM29qaWJiIoCKPdxVXQzZs2dP7ucrV65QcU8IIYQQQmqcQcV9ZGRktV4xLRAIEBgY\niCVLlhj1a9ctW7agrKwMALBgwQLeCx41ibxvv/12lVtt3n77bZ37kIZFLBaDZVm4uLgYeyqE1Gsy\nmQzl5eWws7PT+ndVrVajuLgYVlZW1IKPkFegVCrx7NkzuLq66tQwmZmZEAgEOhd4qtVqqNVqLotI\nQy6XIyMjAx4eHlrbk0ndZ/C2nMpXXvO1vnxRVccolUpERUXh2rVrOHjwINzc3AydlsHy8vJw8OBB\nABVXNvN9faVQKJCfnw+g4qLLqlhYWMDBwQGFhYXIzc2t/gkToykuLsbGjRtx+/ZtAED79u3xySef\nwN7e3sgzI6T+uXHjBu7cuQOVSgVra2v0798fTZo0wbNnzxAfH4/y8nIKsSLkFSQkJOD7779Hbm4u\nzM3NMX36dMybNw95eXn48ssvkZycDKDiGrT//Oc/sLKywpo1a7h2mWPGjMHy5cvRsWNHnD59GmvX\nrkVhYSGsra3x4YcfYvLkycZ8eeQ1GFTcx8fHQyQS4aOPPkJWVhZYlsV7772HYcOGoU2bNnBwcADL\nsigpKcHDhw8RExOD2NhYKJVKWFpa4p///CfMzc1RXFyM9PR0nDlzBjKZDFlZWVi4cCHXqaY27d+/\nn+tyMmPGDN5e/MXFxdwHlFdpB2VlZYXCwkLefumk/tqzZw9X2ANAWloadu/ezbuNixCi3+PHj7Vy\nI8rKynD+/HmMGTOGN8TKxcWFskMI4VFaWoovv/yS230gk8mwfft2tGvXDkePHuUKewC4fPkyfvrp\nJ7Rt25YLIAWA58+f44svvsC2bdvwzTffcF10ysrKsHbtWnTu3Bnt27ev3RdGDGJQce/o6Ii5c+ci\nKysLdnZ2+PHHH9GnTx/eY7t06YJx48YhLS0NH330EXJycnDmzBns3buXO+bzzz/HvHnzkJaWhqSk\nJMTHx6Nfv36GvSIDyGQybtXexsYGkyZN4j2uchDRq/Rb1hzDF2BE6q+bN2/qjOkLsSKE6PfkyROd\nMblcjrS0NN4QqydPnlBxTwiP69evc4V9ZefPn8fly5d1xmNjY5GTk6MznpOTgyNHjvCGL8XGxlJx\nX08Y1J8xPDwcaWlpYBgGmzZt0lvYV9a+fXts3boVAoEAN27cwOHDh7nbXF1dsXXrVm5P5bFjxwyZ\nlsH++OMPbrvNxIkT9YYLVd4L+irXHGhW+akNZsPC9/tBgVSEvD59iyRWVlavdTwhjZ2+baEODg68\nOw3s7e31XuOor00zbT2tPwyqOk+cOAGGYTBgwAD06NHjle/Xtm1bDBkyBCzLIjIyUus2Nzc3DBo0\nCCzLIj093ZBpGezkyZPcz2PHjtV7XOUT5MWEUj6aFXu6EKxh8ff3f6UxQkjV2rZtC4FAoDXm6uqK\n9u3b63RQMzU1RZs2bWpzeoTUG++8847OqrqlpSXGjh3Lu1d+6tSpmDRpks75179/f4wbNw5vvfWW\n1rijoyPXG5/UfQZty3n06BEA6PSAfxVt27bF2bNn8eDBA53bmjdvDgC8XxXVlJKSEly7dg0A4OPj\ng1atWuk91srKirswuLy8/KWPrUk9pU+7DUtAQABsbGwQGxsLABgwYABvz3tCSNUcHBwQGBiIlJQU\nlJSUoEmTJujcubPeECtbW1tjT5mQOolhGPzyyy/YuXMnbty4gWbNmmHGjBl4++23MXfuXDg7O3Mh\nVmPGjIGfnx8AYOvWrViwYAFUKhVmzZqFGTNmwNzcHNu3b+dCrHx8fBAaGkohVvWIQcW9VCoFYNhe\ncs2Kt+bi1co0X7m+SuFcXeLi4ri5aH7Z9TExMYGHhweysrKQlZVV5bFSqRSFhYUAYJTuP5Xl5+fz\nhjSRN6PZ35ibm6u1zYy8ufz8fJ12baRhcnFx4RKeK7OwsKB8EEJeg729PRYuXKgzzjAMxo8fj/Hj\nx+vc9s4778DBwQEAMG/ePG7czc3tjTKNiHEZVNx7enri6dOnuHjxIj777LPXuu/FixcB8Be8moK5\nNle6Y2JiuJ9fVtwDFav7WVlZeP78uU5P2MqePn3K/ezt7f3mEzUQFUg1R/PhVvMPI6k+7u7u9LtL\nCCGEGMCg4r5Pnz548uQJ7t69i927d2PGjBmvdL/KF+K+eBGuTCZDTEwMGIap1X2Vmi4njo6OVW7J\n0ejatSsuXryIwsJCPHz4UO99rl+/zv38OtclVLewsDCjPXddlJubC6lUqhUyBlS0EcvOzoaXl5dW\nG1SVSoUnT57AyclJp4jXfBisfM0GABQVFUEsFsPLy0trP6NCocDTp0/h7u5OF+ASUolMJoNEIoG9\nvb1OiFVRURGsra3p2iVCXoFSqcSTJ0/g5uams43t+fPnEAqF8PDw0BrXhFip1Wqt808mk+H58+fw\n9PTUe5E7qZsMuqB22rRpEAorPhesWrUKq1evrrKXe2lpKTZs2IDvv/8eQEUi7dSpU7nbi4qKsHjx\nYojFYgDg/Yq2JuTm5iI7OxtARcvOV1F5df/o0aN6j9Pc5uTkhO7du7/BLEl1KC8vx+eff47AwECM\nHTsWwcHBeP78OQBg165d8PPzw+TJkxEQEIDo6GgAQGJiIt5//31MnDgR/v7+WLduHViWRWFhIT78\n8EOIRCKIRCLMnTuXS6v96aef4Ofnh4kTJ2L06NHch8fY2FgEBgZi0qRJ8PPzw44dO4z2d0FIXXL9\n+nWEh4cjMjIShw4dQkZGBoCKbz8PHjyIyMhIHDhwAElJSUaeKSF12+XLlzFy5EjufWbLli0AKmqd\n0NBQBAUFYeTIkfjkk09QUlIClUqFH374AXl5eRCLxRgzZgyX4fLnn38iICAAkyZNgr+/Pw4cOGDM\nl0Zek0Er997e3li6dCm+/fZbAMDOnTuxf/9+dOvWDa1atYKdnR0XG/7w4UMkJSVBLpdzrSE//fRT\ntG7dGkBFANCECROgVqsBVGzXGTNmTDW8tJer3JXnVS8O9vHxwbvvvotr165h37598PX11VmZ3759\nO3eCBAcH8wZikdq1bds2rS1Y6enp+Oabb/DRRx9h48aN3HhBQQGWLl2KDh064IsvvkBBQQGAilX3\nAwcOoE2bNkhISND6ZiYxMRFr1qzBoEGDtPIbcnJy8MUXX2Dfvn1YsmQJd72JVCrFli1b0LFjR9pT\nTBq1v//+G6mpqdyfJRIJYmJiEBQUxAUfAhXfoCUlJcHFxQXNmjUz1nQJqbM0IVaaRh4ymQw7duxA\n+/btcfToUa2wuISEBC7E6siRI9x4RkYGvvjiC2zduhXffvutVojVunXr0LlzZ3To0KF2XxgxiEHF\nPQBMnjwZKpUKa9euRXl5OWQyGa5cuYIrV67oHKsp6s3MzLBo0SJMnz6du+3hw4fcL5ClpSU2bNhQ\na1//PH78mPvZy8vrle+3bNkyjB07FnK5HKGhoZg9ezbee+89SKVSHDt2DCdOnAAAtGzZEqGhodU9\nbWIATWebypKTk3HmzBmdcYVCgUOHDnGFfWVxcXFISEjgHee7/qKoqAgRERG8rVPj4uKouCeNWuVr\nkzTkcjnu3r3LG2L19OlTKu4J4XH9+nWusK8sJiaGN8QqLi7utUOs4uLiqLivJwwu7oGKVWlfX1/8\n8ssviI6O5rrDvMjS0hL+/v6YP3++zl7nnJwcNG/eHL169cKcOXNqNX1QsyUHgM4etKq0atUKGzdu\nxMKFCyGRSLB582Zs3rxZ6xgvLy/8+uuvtE+tjnBwcOC24WiYm5vr9NLW0NfhyMHBAfb29lzHKA17\ne3u9F9bquzCUWqSSxk5fKBVf6E5VxxPS2FUVYmVjY4OSkhKd4+k9q+F6o+IeqCiKV6xYgeXLlyMl\nJQVPnz6FWCyGXC6Hvb09vL290alTJ73/KM+ZMwdz5sx502kYpLS0lPv5dYp7ABg4cCBOnTqFsLAw\nXLhwAdnZ2WAYBi1atMCIESMwffp0KuzrkODgYJ22XuPHj8e4ceNw6NAhrWtGWrRogfHjx+PChQtc\nBgJQ8c3ThAkT0LJlS6xbt07n8fv06YOoqCitVfpu3bph/PjxiIyMxMOHD7lxGxsbvP/++9X9Mgmp\nV9q2bYv79+9rrdK7ubmhXbt2ePDgAXcdFkAhVoRURRNilZaWxo1ZWVlh3LhxsLKywq+//qp1fEhI\nCHx8fPDXX39pnX8DBgzA2LFjcfDgQa0FMUdHRwQGBtb8CyHVgmE1e2aIUT1//hy+vr6Ijo6u1W8v\nGpPY2FgcPnwYEokEw4cPx8SJE2FiYoK///4bO3fuxOPHj9G5c2eEhobCyckJEokEu3btwpUrV+Dh\n4YHp06ejY8eOACo65CxfvhwAsHjxYowaNQpAxTUke/bsQWZmJnr16oWZM2fC2toahYWFCAsLw61b\nt+Dl5YWZM2catUUqqV6BgYEoKSnhTYIkVROJREhNTUVJSQk8PT3RpUsXmJmZQSqVIiUlhQux6ty5\ns95v2ohhwsPDYWtrq9Pxi9RPxcXF2LlzJ27evImmTZti5syZaN26NViWRWRkpFaI1fDhwwEAt27d\nwscffwyVSoXQ0FBMnz4dFhYWyMvLQ1hYGO7cuQNvb2+EhobSlrg65GU1Y7UU93K5HKWlpVAqleB7\nOLVaDaVSifLychQWFuLOnTs4ceJEld1mGhsq7usfzSoGvTESKu5JfUTFPQHovaw+elnN+Ebbcvbv\n348DBw7gv//975s8DCGEEEIIIaQaGFzcL1u2DBEREQDAu1r/MvqSXQmpS1QqFf7++2+4uLjoXHyk\nUql4f/cLCwshEonQvHlzLg+CEPL6VCoVF2JFF9MSUjP0hViR+sug/4uJiYk4dOgQgIrCnmEYuLq6\ncvshBQIBmjRpAicnJ664YRgGDMPA1NQUH3/8McLDw6vpJRBSM27evInRo0dj8uTJ8PPzw5o1a8Cy\nLAoKCjB37lyIRCKIxWJ88MEHXIjV+vXruUCs0aNHa12QSwh5dZoQq2PHjiE8PByJiYnGnhIhDYpK\npcKKFSu4EKugoCCtfvik/jKouD927Bj3s7+/Py5duoSLFy9yAT5qtRr79+/H5cuXkZycjN27d6Nz\n585gWZa7KvtVE2EJMQaZTIYvvviC6wOsVCpx8OBBnDx5EmvWrNEqNG7duoXVq1fjzJkz+P3337nf\n8dzcXHz55Zc6bTMJIVWTyWSIiYnhzh2VSoVbt27h2bNnRp4ZIQ1HZGQkIiMjuT9nZmbiyy+/5M2Y\nIPWLQcX9zZs3AQDOzs5YtWoVt2Lv7e0NFxcXAEB8fDyAilX8Xr164cCBA+jbty9YlsW2bdt4w0sI\nqStSUlJ4cxvi4uJw4cIF3vG4uDid8eLiYiQlJdXIHAlpqDIyMnhDdOh9g5Dqw/eelZubi7t37xph\nNqQ6GVTci0QiMAyDIUOGwMzMTOs2TXrZi1+hmpiYYOXKlRAKhVCpVDh48KCBUyak5ukL93BwcOC9\nTd84UNEfmBDy6iwsLF5rnBDy+ug9q+EyqLgvKysDALz11ls6t/n4+IBlWdy7d0/nNjc3N/Tr1w8s\ny9JqJqnTWrVqhV69emmNmZubY+LEiQgJCdE5PiQkBBMmTNC56K979+5o27Ztjc6VkIbG09MTzs7O\nWmMUYkVI9Zo0aZJO04eBAwdSO+4GwKBWHtbW1lqJnpV5eXkBAB4/fsx7e6tWrRAbG4snT54Y8tSE\n1Jq1a9diz549XIhVSEgIWrVqhVatWsHe3h7ff/89WJbFkiVLMHLkSADAb7/9hj179iArKwu9evXC\n9OnTjfwqCKl/GIaBn5+fToiVjY2NsadGSIPRsWNHbNu2DR999BHUajVmz57Nu3hF6h+DinsXFxcU\nFxcjIyND5zZNgplUKsWzZ890Es00X6vq+3BASF1haWmJefPmYd68eTq3+fv7Y+PGjQDAFfYA0K5d\nO/zwww+1NkdCGipzc3P07NnT2NMgpEHr0qULtz3ngw8+MPJsSHUxaFtOly5dwLIsYmNjIZfLtW5r\n3rw597PmwtvKNCv61P+bEEIIIYSQ6mVQcT948GAAQF5eHhYuXKjVVaTyXsl9+/ZptVR69uwZzp49\nC4Zh4OHh8SbzJqRWKJVK3L9/H/n5+by3UcswQt6cVCqFWCyGWq3WGlepVBCLxZDJZEaaGSENn0ql\ngkKh4O1QReong4r7oUOHwtvbGwAQExODwYMHIywsjLs9MDAQLMvizp07mDJlCvbt24dffvkFkyZN\n4v6R7t27dzVMn5Cac+PGDYwaNQpTp06Fv78/Vq1aBbVajfz8fMyZMwdisRhisRihoaEQiUTGni4h\n9dK1a9cQHh6O48eP4+DBg3j+/DkA4MmTJzh48CCOHz+O8PBw3m+CCSGGU6lU+P777yESiZCfn4/3\n338fycnJxp4WqQYGFfcMw+Dnn3+GnZ0dWJaFVCpFUVERd/u8efNgZ2cHALh9+zZWrFiBzZs3c6uf\n5ubmmDFjRjVMn5CaoQmxysvLA1Dxj2BERAQXYlW521NKSgpWr15trKkSUm89evQIt2/f5lbsy8vL\nERMTg5KSEsTGxmqFWCUnJ1OIFSHV6OjRozh+/Dj35+zsbAqxaiAM3vju7e2NqKgorF+/HmfOnNFq\nneTs7IzNmzfjk08+QUFBgdb9zMzMsGrVKq29+YTUNSkpKVofWDUuXLiAhIQE3nHSuJWVlSE8PNzY\n06hX+LbbKBQKREZG8m4RiImJ0clWIYYrKyuDra2tsadBjITvfSsvLw93795Fp06djDAjUl3e6KpW\nd3d3rFq1Cv/+97+hUCi0buvRowdOnjyJw4cPIzk5GQqFAm3atMGkSZOohyqp8/SFeDg6OsLR0RFZ\nWVmvdDxpHNzd3Y09hXpLIpHojFlaWqKkpERn3NzcnNphViNbW1v63W3EKMSq4aqWljUWFha8yYFO\nTk6YO3dudTwFIbXKx8cHffr00Vql14RYeXt7Y82aNVrHU2/gxq3yNUfk1T158gQhISEoLy/nxrp2\n7Yrt27djxowZSEtL48ZtbGxw4MABeHp6GmOqhDQ4kydPxrlz57QWZwcPHkwLsA0A9aMkRI/Vq1dj\n7969XIjVtGnT4OPjAx8fH9jb2+O7774DACxduhQBAQFGni0h9Y+Xlxd27NiBvXv3IiMjAz179sS0\nadPAMAw2btyIPXv2YP/+/RAIBAgLC6PCnpBq1KFDB/z666+YP38+1Go1PvjgA1qoaiAYlmVZY0+C\nAM+fP4evry+io6PpU3M9ERgYCAA4efKkkWdCSMNF5xkhNYvOsfrnZTWjQd1yCCGEEEIIIXUPbcsh\nxEDULoyQmiWXy6FQKCAQCIw9FUIaLJVKBbVaDZVKRedaA0Er94S8JrFYjNmzZ3MhVrNmzeL64RNC\nqkdMTAz8/f2Rn5+PvLw8bNq0ydhTIqRBUSqV+Pe//82FWI0ePRq3bt0y9rRINaDinpDXtHbtWq0U\nv9TUVAqxIqQaFRYWYunSpVpZEzt37sTFixeNOCtCGpajR4/ixIkT3J9zcnIoxKqBoOKekNfEV2BQ\n0UFI9bl27RpvwBWFxRFSffjet0QiEe7evWuE2ZDqRMU9Ia+JL+DDycnJCDMhpGHSdz7ReUZI9akq\nrJHUb1TcE/Kapk2bpjNGvYEJqT7du3dH+/bttcZsbW0xZswYI82IkIZn8uTJMDU11RqjEKuGgYp7\nQl7TxIkT8cMPP8DMzAxmZmZYvnw5pk6dauxpEdJgMAyDTZs2YdasWTA1NYWFhQV27twJDw8PY0+N\nkAajffv22L59O8zNzWFqaooFCxZgxYoVxp4WqQZU3BNigGHDhsHR0RGOjo7w8/Mz9nQIaXBsbW3x\n8ccfw8nJCfb29mjevLmxp0RIg9OxY0c4ODjAyckJM2fOhJmZmbGnRKoBFfeEEEIIIYQ0EFTcE1IF\npVKJu3fvQiQS8d7G1zJM021AoVDUxhQJqffEYjHS0tIgl8u1xmUyGRQKBdRqtZFmRkjDp1KpoFAo\nqAVmA0LFPSF6XL16FYGBgZg2bRoCAwPxn//8B2q1GiKRCKGhoVyI1YwZM5CXlweWZbFq1Sqt+yQk\nJBj7ZRBSZ7Esi7Vr1yIgIADTp09HYGAg4uPjAQDR0dEICAjgQqx++eUXI8+WkIZFqVTi22+/1Qqx\nSkpKMva0SDWg4p4QHlKpFIsXL4ZYLAZQsbKhCfxYu3YtUlJSuGPv3LmDVatW4eTJk4iIiIBKpQIA\n5Ofn46uvvkJ5eblRXgMhdd3Zs2cRHh7OnTMFBQVYvHgxMjIysGzZMq0Qq927d1Ofe0Kq0eHDh/HH\nH39wf87NzaUQqwaCintCeKSkpGgVFhrx8fG8wR/x8fHcimNlpaWlFOdNiB5854xEIsHhw4d5Q6wo\nLI6Q6sN3/onFYgqxagCouCeER1UhOs7Ozrzj+u5DgSCE8NN3zjRp0oR3nO/cI4QYht6zGi4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/T0dAD/39WmJANPZGW0tLQ+qc5UuXz77bclWkdEH6d9+/Zo37693LqaNWvCxcVFSTUiqnpGjx4t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\ntWrh6NGj8PLygq+vL8LDw5Geng4dHR2Ym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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "ANOVA F: 0.274943033153\n", "p value: 0.759859402994\n", "Multiple Comparison of Means - Tukey HSD,FWER=0.05\n", "================================================\n", " group1 group2 meandiff lower upper reject\n", "------------------------------------------------\n", " HPS+ Negative 0.4783 -2.0921 3.0486 False \n", " HPS+ Non-HPS+ -0.4 -3.5531 2.7531 False \n", "Negative Non-HPS+ -0.8783 -3.7879 2.0314 False \n", "------------------------------------------------\n" ] } ], "source": [ "anova_hpc(df2, 'age_scan', 50, 100, path_results + 'adni1_mci_age.pdf')" ] }, { "cell_type": "code", "execution_count": 94, "metadata": {}, "outputs": [ { "data": { "image/png": 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Fob179+7Cz/Hx8eUeHx8fD51OBwDo3bv304ZNRERERGQR6twQJqVSiTVr1gDQ9zx4e3uX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\niIiIRGMAQUREREREojGAICIiI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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "ANOVA F: 0.405411262639\n", "p value: 0.84480306886\n", " Multiple Comparison of Means - Tukey HSD,FWER=0.05\n", "===================================================\n", " group1 group2 meandiff lower upper reject\n", "---------------------------------------------------\n", "HPS+ pMCI HPS+ sMCI -2.0278 -9.5015 5.4459 False \n", "HPS+ pMCI pMCI+ -1.05 -5.4634 3.3634 False \n", "HPS+ pMCI pMCI- 0.79 -3.1724 4.7524 False \n", "HPS+ pMCI sMCI+ 0.2833 -5.739 6.3056 False \n", "HPS+ pMCI sMCI- -0.2038 -3.9007 3.493 False \n", "HPS+ sMCI pMCI+ 0.9778 -6.8684 8.8239 False \n", "HPS+ sMCI pMCI- 2.8178 -4.7838 10.4194 False \n", "HPS+ sMCI sMCI+ 2.3111 -6.5405 11.1627 False \n", "HPS+ sMCI sMCI- 1.8239 -5.6427 9.2905 False \n", " pMCI+ pMCI- 1.84 -2.7867 6.4667 False \n", " pMCI+ sMCI+ 1.3333 -5.1454 7.8121 False \n", " pMCI+ sMCI- 0.8462 -3.5553 5.2476 False \n", " pMCI- sMCI+ -0.5067 -6.687 5.6736 False \n", " pMCI- sMCI- -0.9938 -4.9429 2.9552 False \n", " sMCI+ sMCI- -0.4872 -6.5007 5.5263 False \n", "---------------------------------------------------\n" ] } ], "source": [ "anova_hpc_split(df2, 'age_scan', 50, 100, 'sMCI', 'pMCI', path_results + 'adni1_mci_age_split.pdf')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## cognition in ADNI1 MCI" ] }, { "cell_type": "code", "execution_count": 95, "metadata": {}, "outputs": [ { "data": { "image/png": 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7JpOpxrWil1tXTWqzvXXZ98t97yvZpzb7XlFRUatrdLOysmqtLrky7u7Vf7R7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\no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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "ANOVA F: 8.99732477133\n", "p value: 0.000171748031033\n", "Multiple Comparison of Means - Tukey HSD,FWER=0.05\n", "================================================\n", " group1 group2 meandiff lower upper reject\n", "------------------------------------------------\n", " HPS+ Negative 1.061 0.4617 1.6603 True \n", " HPS+ Non-HPS+ 0.4479 -0.2872 1.1831 False \n", "Negative Non-HPS+ -0.613 -1.2914 0.0653 False \n", "------------------------------------------------\n" ] } ], "source": [ "# mmse\n", "anova_hpc(df2, 'MMSE', 15, 35, path_results + 'adni1_mci_mmse.pdf')" ] }, { "cell_type": "code", "execution_count": 96, "metadata": {}, "outputs": [ { "data": { "image/png": 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Lcln4N5qsSDh7A1laIzq28Eer0ML5+scv3sSlFB0aBWvQuXVdKBQCrqbn49iF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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "ANOVA F: 5.51822724446\n", "p value: 8.02877942989e-05\n", "Multiple Comparison of Means - Tukey HSD,FWER=0.05\n", "==================================================\n", " group1 group2 meandiff lower upper reject\n", "--------------------------------------------------\n", "HPS+ pMCI HPS+ sMCI 0.1181 -1.5965 1.8326 False \n", "HPS+ pMCI pMCI+ 0.2768 -0.7357 1.2893 False \n", "HPS+ pMCI pMCI- 0.5825 -0.3266 1.4916 False \n", "HPS+ pMCI sMCI+ 0.8958 -0.4858 2.2775 False \n", "HPS+ pMCI sMCI- 1.4548 0.6067 2.3029 True \n", "HPS+ sMCI pMCI+ 0.1587 -1.6413 1.9588 False \n", "HPS+ sMCI pMCI- 0.4644 -1.2795 2.2084 False \n", "HPS+ sMCI sMCI+ 0.7778 -1.2529 2.8085 False \n", "HPS+ sMCI sMCI- 1.3368 -0.3762 3.0497 False \n", " pMCI+ pMCI- 0.3057 -0.7557 1.3672 False \n", " pMCI+ sMCI+ 0.619 -0.8673 2.1054 False \n", " pMCI+ sMCI- 1.178 0.1683 2.1878 True \n", " pMCI- sMCI+ 0.3133 -1.1045 1.7312 False \n", " pMCI- sMCI- 0.8723 -0.0337 1.7783 False \n", " sMCI+ sMCI- 0.559 -0.8206 1.9386 False \n", "--------------------------------------------------\n" ] } ], "source": [ "anova_hpc_split(df2, 'MMSE', 15, 35, 'sMCI', 'pMCI', path_results + 'adni1_mci_mmse_split.pdf')" ] }, { "cell_type": "code", "execution_count": 97, "metadata": {}, "outputs": [ { "data": { "image/png": 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o3r07mjRpgidPnhR7scjISAAwKIpPVF7c3NyMthf8vBPR68vLy8N3332HhIQE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\npkyZgqlTp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Q1hZWWFQYMGwdXVtdQN1Pz583Hw4MEyj7djxw706dMHANChQwcAgIWFBUJD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\nm6oiERG9BmZlISJ6SyQnJ2PFi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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "ANOVA F: 17.9279748089\n", "p value: 5.72697634377e-08\n", "Multiple Comparison of Means - Tukey HSD,FWER=0.05\n", "=================================================\n", " group1 group2 meandiff lower upper reject\n", "-------------------------------------------------\n", " HPS+ Negative -5.2827 -7.3667 -3.1987 True \n", " HPS+ Non-HPS+ -3.5485 -6.1167 -0.9803 True \n", "Negative Non-HPS+ 1.7342 -0.6316 4.1 False \n", "-------------------------------------------------\n" ] } ], "source": [ "# adas cog\n", "anova_hpc(df2, 'ADAS13', -1, 45, path_results + 'adni1_mci_adas13.pdf')" ] }, { "cell_type": "code", "execution_count": 98, "metadata": {}, "outputs": [ { "data": { "image/png": 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2mUwmkwzDkJubW45DfmbMmKFTp05Ze/mbNm2q4OBg1a1bV2fPntWUKVP0yy+/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\nHSNHjkS/fv0qVL9EI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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "ANOVA F: 21.358190808\n", "p value: 1.55060781973e-17\n", " Multiple Comparison of Means - Tukey HSD,FWER=0.05 \n", "====================================================\n", " group1 group2 meandiff lower upper reject\n", "----------------------------------------------------\n", "HPS+ pMCI HPS+ sMCI -5.421 -10.8 -0.0419 True \n", "HPS+ pMCI pMCI+ -2.7997 -6.012 0.4125 False \n", "HPS+ pMCI pMCI- -2.2019 -5.0609 0.6572 False \n", "HPS+ pMCI sMCI+ -7.4594 -11.7961 -3.1226 True \n", "HPS+ pMCI sMCI- -8.8514 -11.5202 -6.1827 True \n", "HPS+ sMCI pMCI+ 2.6212 -3.0373 8.2798 False \n", "HPS+ sMCI pMCI- 3.2191 -2.2467 8.6849 False \n", "HPS+ sMCI sMCI+ -2.0384 -8.4031 4.3262 False \n", "HPS+ sMCI sMCI- -3.4305 -8.7992 1.9382 False \n", " pMCI+ pMCI- 0.5978 -2.7576 3.9533 False \n", " pMCI+ sMCI+ -4.6597 -9.3386 0.0192 False \n", " pMCI+ sMCI- -6.0517 -9.2466 -2.8569 True \n", " pMCI- sMCI+ -5.2575 -9.7014 -0.8137 True \n", " pMCI- sMCI- -6.6496 -9.4891 -3.8101 True \n", " sMCI+ sMCI- -1.3921 -5.716 2.9318 False \n", "----------------------------------------------------\n" ] } ], "source": [ "anova_hpc_split(df2, 'ADAS13', -1, 60, 'sMCI', 'pMCI', path_results + 'adni1_mci_adas13_split.pdf')" ] }, { "cell_type": "code", "execution_count": 99, "metadata": {}, "outputs": [ { "data": { "image/png": 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yODk5Yfr06QgMDET37t1x9OhRNGjQAD179hSHmk2ePBmTJ0+24NUQ1R0KhQI/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HvvvUdSUpLRLxkA3377LXq9nrKyMjQaDXFxcWzfvp3x48c/8nP1hgcPHrBu3TrlS1JrZWVlSrxb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\nCUnOhRBCC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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "ANOVA F: 17.8900521336\n", "p value: 5.86145666723e-08\n", "Multiple Comparison of Means - Tukey HSD,FWER=0.05\n", "=================================================\n", " group1 group2 meandiff lower upper reject\n", "-------------------------------------------------\n", " HPS+ Negative 0.4797 0.2877 0.6717 True \n", " HPS+ Non-HPS+ 0.2053 -0.0302 0.4407 False \n", "Negative Non-HPS+ -0.2744 -0.4917 -0.0571 True \n", "-------------------------------------------------\n" ] } ], "source": [ "# adni memory\n", "anova_hpc(df2, 'ADNI_MEM', -3.5, 3.5, path_results + 'adni1_mci_memory.pdf')" ] }, { "cell_type": "code", "execution_count": 100, "metadata": {}, "outputs": [ { "data": { "image/png": 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JiIhshQO1Jahrp+ZWx05OSqRnZFu13Uq6g4gzl6za9AYjzj8wKRgAenRpBb8a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\ng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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "ANOVA F: 26.794183911\n", "p value: 2.3538841126e-21\n", "Multiple Comparison of Means - Tukey HSD,FWER=0.05\n", "==================================================\n", " group1 group2 meandiff lower upper reject\n", "--------------------------------------------------\n", "HPS+ pMCI HPS+ sMCI 0.5707 0.0921 1.0492 True \n", "HPS+ pMCI pMCI+ 0.1141 -0.1686 0.3967 False \n", "HPS+ pMCI pMCI- 0.1649 -0.0888 0.4187 False \n", "HPS+ pMCI sMCI+ 0.6526 0.267 1.0382 True \n", "HPS+ pMCI sMCI- 0.8463 0.6096 1.083 True \n", "HPS+ sMCI pMCI+ -0.4566 -0.959 0.0458 False \n", "HPS+ sMCI pMCI- -0.4057 -0.8925 0.081 False \n", "HPS+ sMCI sMCI+ 0.0819 -0.4849 0.6487 False \n", "HPS+ sMCI sMCI- 0.2756 -0.2025 0.7537 False \n", " pMCI+ pMCI- 0.0509 -0.2454 0.3471 False \n", " pMCI+ sMCI+ 0.5385 0.1237 0.9534 True \n", " pMCI+ sMCI- 0.7322 0.4504 1.0141 True \n", " pMCI- sMCI+ 0.4877 0.0919 0.8834 True \n", " pMCI- sMCI- 0.6814 0.4285 0.9342 True \n", " sMCI+ sMCI- 0.1937 -0.1914 0.5788 False \n", "--------------------------------------------------\n" ] } ], "source": [ "anova_hpc_split(df2, 'ADNI_MEM', -3.5, 3.5, 'sMCI', 'pMCI', path_results + 'adni1_mci_memory_split.pdf')" ] }, { "cell_type": "code", "execution_count": 101, "metadata": {}, "outputs": [ { "data": { "image/png": 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iBXJzcwGUTAN4eNu6h5WGc0EQTPaeJjInICAA06ZNk7SPGzcO3333HXQ6HTw8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\ny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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "ANOVA F: 15.553495732\n", "p value: 4.53273502831e-07\n", "Multiple Comparison of Means - Tukey HSD,FWER=0.05\n", "=================================================\n", " group1 group2 meandiff lower upper reject\n", "-------------------------------------------------\n", " HPS+ Negative 0.6054 0.348 0.8627 True \n", " HPS+ Non-HPS+ 0.3055 -0.0102 0.6211 False \n", "Negative Non-HPS+ -0.2999 -0.5912 -0.0086 True \n", "-------------------------------------------------\n" ] } ], "source": [ "# adni executive function\n", "anova_hpc(df2, 'ADNI_EF', -3.5, 3.5, path_results + 'adni1_mci_ef.pdf')" ] }, { "cell_type": "code", "execution_count": 102, "metadata": {}, "outputs": [ { "data": { "image/png": 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RsynLnbYAwGAwwGg02q4TExPx9NNPQ61Wl9n3kPtuW5wCRCXq168fhg0bBgAQBAHTp09H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\nO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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "ANOVA F: 9.15526177017\n", "p value: 5.7717664894e-08\n", "Multiple Comparison of Means - Tukey HSD,FWER=0.05\n", "==================================================\n", " group1 group2 meandiff lower upper reject\n", "--------------------------------------------------\n", "HPS+ pMCI HPS+ sMCI 0.1065 -0.6234 0.8364 False \n", "HPS+ pMCI pMCI+ 0.1451 -0.2859 0.5762 False \n", "HPS+ pMCI pMCI- 0.4291 0.0421 0.8161 True \n", "HPS+ pMCI sMCI+ 0.7234 0.1352 1.3115 True \n", "HPS+ pMCI sMCI- 0.7642 0.4031 1.1252 True \n", "HPS+ sMCI pMCI+ 0.0386 -0.7277 0.8049 False \n", "HPS+ sMCI pMCI- 0.3226 -0.4198 1.065 False \n", "HPS+ sMCI sMCI+ 0.6169 -0.2476 1.4814 False \n", "HPS+ sMCI sMCI- 0.6577 -0.0716 1.3869 False \n", " pMCI+ pMCI- 0.284 -0.1679 0.7358 False \n", " pMCI+ sMCI+ 0.5782 -0.0545 1.211 False \n", " pMCI+ sMCI- 0.619 0.1892 1.0489 True \n", " pMCI- sMCI+ 0.2943 -0.3093 0.8979 False \n", " pMCI- sMCI- 0.3351 -0.0506 0.7208 False \n", " sMCI+ sMCI- 0.0408 -0.5465 0.6281 False \n", "--------------------------------------------------\n" ] } ], "source": [ "anova_hpc_split(df2, 'ADNI_EF', -3.5, 3.5, 'sMCI', 'pMCI', path_results + 'adni1_mci_ef_split.pdf')" ] }, { "cell_type": "code", "execution_count": 103, "metadata": {}, "outputs": [ { "data": { "image/png": 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++iomTpyIU6dO4a233kJVVRUEAgFiY2Pxr3/9C2VlZVi4cCH7gfvoo4/i/fff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\nIYTQRvKYC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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "ANOVA F: 5.39153090715\n", "p value: 0.00513849424268\n", "Multiple Comparison of Means - Tukey HSD,FWER=0.05\n", "================================================\n", " group1 group2 meandiff lower upper reject\n", "------------------------------------------------\n", " HPS+ Negative 1.9403 0.4907 3.3898 True \n", " HPS+ Non-HPS+ 1.7715 -0.0036 3.5466 False \n", "Negative Non-HPS+ -0.1688 -1.809 1.4715 False \n", "------------------------------------------------\n" ] } ], "source": [ "# adni language\n", "anova_hpc(df2, 'BNTTOTAL', -5, 35, path_results + 'adni1_mci_language.pdf')" ] }, { "cell_type": "code", "execution_count": 104, "metadata": {}, "outputs": [ { "data": { "image/png": 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m2YcfARXf3lx+3TiM4eEc2bMX98krkwNHjWDQVaPYsuYnv5wde14ahLWrX8ao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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "ANOVA F: 2.57724415082\n", "p value: 0.0272070969846\n", "Multiple Comparison of Means - Tukey HSD,FWER=0.05\n", "==================================================\n", " group1 group2 meandiff lower upper reject\n", "--------------------------------------------------\n", "HPS+ pMCI HPS+ sMCI -1.7257 -5.9274 2.476 False \n", "HPS+ pMCI pMCI+ 1.3473 -1.1339 3.8285 False \n", "HPS+ pMCI pMCI- 1.4387 -0.7889 3.6664 False \n", "HPS+ pMCI sMCI+ 2.0521 -1.3336 5.4378 False \n", "HPS+ pMCI sMCI- 1.9531 -0.1333 4.0395 False \n", "HPS+ sMCI pMCI+ 3.073 -1.338 7.4841 False \n", "HPS+ sMCI pMCI- 3.1644 -1.1091 7.438 False \n", "HPS+ sMCI sMCI+ 3.7778 -1.1986 8.7541 False \n", "HPS+ sMCI sMCI- 3.6788 -0.5228 7.8805 False \n", " pMCI+ pMCI- 0.0914 -2.5097 2.6926 False \n", " pMCI+ sMCI+ 0.7048 -2.9375 4.3471 False \n", " pMCI+ sMCI- 0.6058 -1.8754 3.087 False \n", " pMCI- sMCI+ 0.6133 -2.8612 4.0879 False \n", " pMCI- sMCI- 0.5144 -1.7133 2.742 False \n", " sMCI+ sMCI- -0.099 -3.4847 3.2867 False \n", "--------------------------------------------------\n" ] } ], "source": [ "anova_hpc_split(df2, 'BNTTOTAL', -5, 35, 'sMCI', 'pMCI', path_results + 'adni1_mci_language_split.pdf')" ] }, { "cell_type": "code", "execution_count": 105, "metadata": {}, "outputs": [ { "data": { "image/png": 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Vxz7stS6TyVTmsVvec1XW817VH7BqU5DUaDRITU2ttvfQsl7PbQU9y/Zl/T2rahCooroq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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "ANOVA F: 12.2591702058\n", "p value: 8.62436883652e-06\n", "Multiple Comparison of Means - Tukey HSD,FWER=0.05\n", "================================================\n", " group1 group2 meandiff lower upper reject\n", "------------------------------------------------\n", " HPS+ Negative 0.7351 0.3831 1.0871 True \n", " HPS+ Non-HPS+ 0.3699 -0.0619 0.8017 False \n", "Negative Non-HPS+ -0.3652 -0.7637 0.0332 False \n", "------------------------------------------------\n" ] } ], "source": [ "# vis spat\n", "anova_hpc(df2, 'CLOCKSCOR', -1, 6, path_results + 'adni1_mci_clock.pdf')" ] }, { "cell_type": "code", "execution_count": 106, "metadata": {}, "outputs": [ { "data": { "image/png": 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tbXPZ7UU7GkaRFYFhsWCetsLy1+Zv2kqL6Wcl6nd6fyvbCsY0rFasIb+vNzLS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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "ANOVA F: 5.9369357033\n", "p value: 3.46118874687e-05\n", "Multiple Comparison of Means - Tukey HSD,FWER=0.05\n", "==================================================\n", " group1 group2 meandiff lower upper reject\n", "--------------------------------------------------\n", "HPS+ pMCI HPS+ sMCI 0.1684 -0.8475 1.1843 False \n", "HPS+ pMCI pMCI+ 0.1906 -0.4093 0.7906 False \n", "HPS+ pMCI pMCI- 0.7506 0.212 1.2892 True \n", "HPS+ pMCI sMCI+ 0.8573 0.0387 1.6759 True \n", "HPS+ pMCI sMCI- 0.7599 0.2573 1.2624 True \n", "HPS+ sMCI pMCI+ 0.0222 -1.0443 1.0888 False \n", "HPS+ sMCI pMCI- 0.5822 -0.4511 1.6155 False \n", "HPS+ sMCI sMCI+ 0.6889 -0.5143 1.8921 False \n", "HPS+ sMCI sMCI- 0.5915 -0.4235 1.6064 False \n", " pMCI+ pMCI- 0.56 -0.0689 1.1889 False \n", " pMCI+ sMCI+ 0.6667 -0.214 1.5473 False \n", " pMCI+ sMCI- 0.5692 -0.0291 1.1675 False \n", " pMCI- sMCI+ 0.1067 -0.7334 0.9468 False \n", " pMCI- sMCI- 0.0092 -0.5276 0.546 False \n", " sMCI+ sMCI- -0.0974 -0.9149 0.72 False \n", "--------------------------------------------------\n" ] } ], "source": [ "anova_hpc_split(df2, 'CLOCKSCOR', -1, 6, 'sMCI', 'pMCI', path_results + 'adni1_mci_clock_split.pdf')" ] }, { "cell_type": "code", "execution_count": 107, "metadata": {}, "outputs": [ { "data": { "image/png": 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vEBMTI+prYmKCDRs2iC7hx8TEwNraGkZGRqJ6756ennBycoKTkxOGDx8OjUYj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\np8xgamtrC11dXeTm5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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "ANOVA F: 28.9374763457\n", "p value: 5.82521046758e-12\n", "Multiple Comparison of Means - Tukey HSD,FWER=0.05\n", "=================================================\n", " group1 group2 meandiff lower upper reject\n", "-------------------------------------------------\n", " HPS+ Negative 0.0492 0.0329 0.0656 True \n", " HPS+ Non-HPS+ 0.0097 -0.0103 0.0298 False \n", "Negative Non-HPS+ -0.0395 -0.058 -0.0209 True \n", "-------------------------------------------------\n" ] } ], "source": [ "anova_hpc(df2, 'mean_gm', 0.2, 0.6, path_results + 'adni1_mci_meangm.pdf')" ] }, { "cell_type": "code", "execution_count": 108, "metadata": {}, "outputs": [ { "data": { "image/png": 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ZAIBHqekY8772rA4N3Ouip3cbrF4fiLw8JezsbJCXr0RaehYAQCYIWPLJBDRt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\no4OMjAwkJSWp9R6pVKpWuRUrV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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "ANOVA F: 11.6329407334\n", "p value: 4.84058849772e-10\n", "Multiple Comparison of Means - Tukey HSD,FWER=0.05\n", "==================================================\n", " group1 group2 meandiff lower upper reject\n", "--------------------------------------------------\n", "HPS+ pMCI HPS+ sMCI 0.0012 -0.0465 0.0489 False \n", "HPS+ pMCI pMCI+ 0.0101 -0.0181 0.0382 False \n", "HPS+ pMCI pMCI- 0.0449 0.0196 0.0702 True \n", "HPS+ pMCI sMCI+ 0.0095 -0.0289 0.0479 False \n", "HPS+ pMCI sMCI- 0.0528 0.0292 0.0764 True \n", "HPS+ sMCI pMCI+ 0.0089 -0.0412 0.059 False \n", "HPS+ sMCI pMCI- 0.0437 -0.0048 0.0922 False \n", "HPS+ sMCI sMCI+ 0.0083 -0.0481 0.0648 False \n", "HPS+ sMCI sMCI- 0.0517 0.004 0.0993 True \n", " pMCI+ pMCI- 0.0348 0.0053 0.0644 True \n", " pMCI+ sMCI+ -0.0005 -0.0419 0.0408 False \n", " pMCI+ sMCI- 0.0428 0.0147 0.0709 True \n", " pMCI- sMCI+ -0.0354 -0.0748 0.0041 False \n", " pMCI- sMCI- 0.0079 -0.0173 0.0331 False \n", " sMCI+ sMCI- 0.0433 0.0049 0.0817 True \n", "--------------------------------------------------\n" ] } ], "source": [ "anova_hpc_split(df2, 'mean_gm', 0.2, 0.6, 'sMCI', 'pMCI', path_results + 'adni1_mci_meangm_split.pdf')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# REPLICATION IN ADNI2 " ] }, { "cell_type": "code", "execution_count": 109, "metadata": { "collapsed": true }, "outputs": [], "source": [ "adni2_df = pd.read_csv('/Users/AngelaTam/Desktop/adsf/adni1_vbm_adcn_subtypes_20171209/7clus/adni2_model_weights.csv')" ] }, { "cell_type": "code", "execution_count": 110, "metadata": { "collapsed": true }, "outputs": [], "source": [ "adni2_df.drop(adni2_df[adni2_df.RID < 2000].index,inplace=True)" ] }, { "cell_type": "code", "execution_count": 111, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# get rid of NaNs\n", "adni2_df.dropna(axis=0,how='any',subset=['sub1','gender','age_scan','mean_gm','tiv','conv_2_ad'],inplace=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## AD vs CN " ] }, { "cell_type": "code", "execution_count": 112, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "((278, 11), (278,), (278, 4))" ] }, "execution_count": 112, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Mask of the AD and CN subjects only\n", "mask_cnad = adni2_df.loc[:,['CN','AD']].values.sum(1).astype(bool)\n", "\n", "x_ = adni2_df.iloc[mask_cnad,adni2_df.columns.get_loc(\"sub1\"):adni2_df.columns.get_loc(\"sub7\")+1].values\n", "#x_ = scalerX.transform(x_)\n", "y_ = adni2_df[['AD']].values.ravel()[mask_cnad]\n", "\n", "\n", "confounds = adni2_df[['gender','age_scan','mean_gm','tiv']].values[mask_cnad,:]\n", "#confounds = data[['sex','age_r']].values[mask_mci,:]\n", "#confounds[:, 1:] = scaler.transform(confounds[:, 1:])\n", "#confounds[:, 0] = preprocessing.binarize(confounds[:, 0].reshape(-1, 1), threshold=1)[:, 0]\n", "#confounds = scaler.transform(confounds)\n", "#x_ = crm.transform(confounds, x_)\n", "\n", "x_ = scaler.transform(np.hstack((x_,confounds)))\n", "\n", "x_.shape, y_.shape, confounds.shape" ] }, { "cell_type": "code", "execution_count": 113, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Level 1\n", "------------------------\n", "Ratio: 1.0\n", "# : 90.0\n", "# true values: 278\n", "ACC : 0.723021582734\n", "Level 2\n", "------------------------\n", "Ratio: 0.333333333333\n", "# : 30.0\n", "# true values: 46\n", "ACC : 0.652173913043\n" ] } ], "source": [ "array_results, dic_results = hpc.predict(x_, x_)\n", "\n", "# Level 1\n", "print('Level 1')\n", "stats_mask(y_, (dic_results['s1df'][:,0]>0).astype(float))\n", "\n", "print('Level 2')\n", "stats_mask(y_, (dic_results['s1df'][:,0]>0).astype(float), dic_results['s2df'][:,1]>0)\n", "#stats_mask(dic_results['s2df'][:,2]>0)\n", "#stats_mask(dic_results['s2df'][:,3]>0)" ] }, { "cell_type": "code", "execution_count": 114, "metadata": { "collapsed": true }, "outputs": [], "source": [ "y_pred = (dic_results['s1df'][:,0]>0).astype(float)\n", "lr_decision = dic_results['s2df'][:,1]" ] }, { "cell_type": "code", "execution_count": 115, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Total number of TARGET subjects: 90.0\n", "Total number of NON-TARGET subjects: 188.0\n", "Stage 1 number of hits (true and false positives): 89.0\n", "Stage 1 TRUE positives: 51.0\n", "Stage 1 FALSE positives: 38.0\n", "Stage 1 TRUE negatives: 150.0\n", "Total number of flagged HPC-AD subjects: 46.0\n", "Number of flagged HPC-AD subjects that are TRUE positives: 30.0\n", "Number of flagged HPC-AD subjects that are FALSE positives: 16.0\n", "Number of true negatives: 172.0\n", "#############################\n", "Stage 1 stats for TARGET vs NON-TARGET\n", "Precision for AD: 0.573033707865\n", "Recall (or sensitivity) for AD: 0.566666666667\n", "Specificity: 0.797872340426\n", "Adjusted precision for 33.6% baseline rate: 0.586545015993\n", "Accuracy: 0.723021582734\n", "#############################\n", "Stage 2 stats for TARGET vs NON-TARGET\n", "Precision for HPC-AD: 0.652173913043\n", "Recall (or sensitivity) for HPC-AD: 0.333333333333\n", "Specificity: 0.914893617021\n", "Adjusted precision for 33.6% baseline rate: 0.664646464646\n", "Accuracy: 0.726618705036\n" ] }, { "data": { "text/plain": [ "(0.56666666666666665,\n", " 0.7978723404255319,\n", " 0.5730337078651685,\n", " 0.7230215827338129,\n", " 0.33333333333333331,\n", " 0.91489361702127658,\n", " 0.65217391304347827,\n", " 0.72661870503597126)" ] }, "execution_count": 115, "metadata": {}, "output_type": "execute_result" } ], "source": [ "predic_stats(y_, y_pred, lr_decision)" ] }, { "cell_type": "code", "execution_count": 116, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# copy data frame and mask\n", "df3 = deepcopy(adni2_df)\n", "df3 = df3[mask_cnad]" ] }, { "cell_type": "code", "execution_count": 117, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/AngelaTam/anaconda3/lib/python3.5/site-packages/ipykernel/__main__.py:16: DeprecationWarning: \n", ".ix is deprecated. Please use\n", ".loc for label based indexing or\n", ".iloc for positional indexing\n", "\n", "See the documentation here:\n", "http://pandas.pydata.org/pandas-docs/stable/indexing.html#ix-indexer-is-deprecated\n" ] } ], "source": [ "hpc_df(df3, y_pred, lr_decision)" ] }, { "cell_type": "code", "execution_count": 118, "metadata": { "collapsed": true }, "outputs": [], "source": [ "long_df_adni3_adcn = pd.merge(long_data, df3[['RID','flag_dx','flag_status']], \n", " how='left', on=['RID'])" ] }, { "cell_type": "code", "execution_count": 119, "metadata": { "collapsed": true }, "outputs": [], "source": [ "long_df_adni3_adcn.dropna(subset=['flag_status'],inplace=True)" ] }, { "cell_type": "code", "execution_count": 120, "metadata": { "collapsed": true }, "outputs": [], "source": [ "long_df_adni3_adcn.reset_index(inplace=True, drop=True)" ] }, { "cell_type": "code", "execution_count": 121, "metadata": { "collapsed": true }, "outputs": [], "source": [ "long_df_adni3_adcn.to_csv(path_results + 'adni2_adcn_hps.csv')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## amyloid positivity (AV45) in ADNI2 AD vs CN" ] }, { "cell_type": "code", "execution_count": 122, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "baseline rate in NON-TARGET subjects: 0.3370165745856354\n", "##########\n", "baseline rate in TARGET subjects: 0.8953488372093024\n", "##########\n", "number of subjects with VOI in the whole sample: 138.0\n", "total number of subjects with VOI data in whole sample: 267\n", "ratio: 0.5168539325842697\n", "##########\n", "number of subjects with VOI that are positive at stage 1: 57.0\n", "total number of positive stage 1 subjects with VOI data: 85\n", "ratio: 0.6705882352941176\n", "##########\n", "number of subjects with VOI in HPC-AD: 32.0\n", "total number of HPC-AD subjects with VOI data: 44\n", "ratio: 0.7272727272727273\n", "##########\n", "number of subjects with VOI in Non-HPC+: 25.0\n", "total number of Non-HPC+ with VOI data: 41\n", "ratio: 0.6097560975609756\n", "##########\n", "number of subjects with VOI in negative subjects: 81.0\n", "total number of negative subjects with VOI data 182\n", "ratio: 0.44505494505494503\n" ] } ], "source": [ "compare_ratio_var(df3, 'SUMMARYSUVR_WHOLECEREBNORM_1.11CUTOFF', 'AD')" ] }, { "cell_type": "code", "execution_count": 123, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "observed freq: \n", "[[ 101. 16. 12.]\n", " [ 81. 25. 32.]]\n", "Chi2: 12.975693503\n", "p value: 0.00152182234431\n", "degress of freedom: 2\n", "expected freq: \n", "[[ 87.93258427 19.80898876 21.25842697]\n", " [ 94.06741573 21.19101124 22.74157303]]\n" ] } ], "source": [ "tmp_df = chi2_fn(df3, 'SUMMARYSUVR_WHOLECEREBNORM_1.11CUTOFF')" ] }, { "cell_type": "code", "execution_count": 124, "metadata": {}, "outputs": [ { "data": { "image/png": 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uaNSoEfLz83H58mUhaWjQoIEwxKJk4lJcijMmJgaAvuX/zJkz6Ny5MwICApCX\nl4eYmBijZMbHx0f4AEql0lLfc2hoqNCDs379ety9exceHh6IiIjAoEGDyv19lWX06NHCzXvx72n4\n8OEVLpTm5eWF9evX4+WXX0ZeXh4YhsHKlSvxzTffoHv37vDy8kJaWhpu3Lhh1LPz9NNPY/r06Ubn\ncnJywooVKzB9+nTodDqkpqbipZdeQlhYGEJDQ+Hr64uCggJER0cjJydHOG7cuHHo3bt3ld43sQ+V\nuWa0adMGK1aswIIFC6DT6ZCUlIQJEyagdevWaNWqFSQSCeLj44UCBIB+2N7KlSvRokULS7+VOq24\nfO3PP/8MQN+ws3r1aqxZswatWrVCcHAwfH19oVQqkZmZidu3bxv17rZo0QLffPMNDccgpJasXLnS\nqFS+VCrFsmXLsGLFCrRt2xaNGjWCj48P5HI50tLScPfuXaO5ct27d69w2DSpPXUq2QD0XxpvvfVW\nueOvi/Xu3Ru//fYb5s+fj7i4OAD6alKHDx822dfNzQ3vvPMOXn311TLPN3bsWEgkEqxYsQIKhQIM\nw+DChQtG+zg6OuKNN96AVqvF1q1bAcDkC87R0RGbN2/Ga6+9JgwJKiwsNFqAynDfKVOm4JlnnsHE\niRMBAHFxcVAqlSYlIKdOnYp//vkHDMOAYRjhfTo5OVU52ejRoweaNGmC1NRU4bGyqlCV1KZNG/z1\n11+YN28eoqKiAOiHn5Q2n8XR0REvvfQS5s6dW+rckyeffBIbNmzAokWLhMXTEhMTkZiYaLKvs7Mz\npk2bhtmzZ5sVJ7FvlblmjBgxAgEBAVi0aJHQIl5WK1loaCjWrFljVBCBWIZEIsHixYvRs2dPfPnl\nl0KhCJ7ny23FdHZ2xsSJEzFnzpxKlcwlhFSPi4sLvv76a+zcuRMbNmwQKnmyLCusiVUaDw8PTJ8+\nHTNnzqz24oGk5tTJ/xPTp0/H0aNHzRoq1K5dO+zduxfHjx/HiRMnEB0djdzcXKjVanh7eyMsLAy9\ne/fG2LFjERQUVOH5nn/+efTt2xd//PEHTp06hbS0NCgUCgQGBqJnz56YOnUq2rZtazSe29vb2+Q8\njRo1wq5du7B7924cPXoUMTExKCwshJOTE3x8fNCsWTN07twZY8aMQbNmzcCyLAIDA5GdnQ2GYXDg\nwAGMHz/e6JwdO3bEb7/9hk2bNuHGjRsoLCyEh4eHydClyihec2PDhg0AgFatWhlV7qlIkyZNsGPH\nDpw/fx6HDx/GtWvXkJ2dDaVSCU9PT4SEhKBnz54YO3YsQkNDyz1XeHg4jhw5gn379uHs2bOIjY1F\nfn4+dDodfH190aRJE/Tr1w/4/pSiAAAgAElEQVTDhw+nSaDESGWuGb169cKRI0dw4MABnDx5Erdv\n34ZMJoNOp0NgYCA6dOiAIUOGYMiQIfRlWMsGDRqEgQMH4sqVKzh9+jRu376N1NRUyGQyaDQaeHt7\nIyAgACEhIRg4cCAiIiKokg0hIho3bhxGjRqF8+fP4+zZs7h79y5SU1NRUFAAhmFQr149NGjQAC1a\ntMCgQYPQv39/KnNrhSR8bdRBJZX2/vvvY+/evQCAV1991WSSNyGEEEIIIdaOmtVqQV5eHr777js0\nbdoUISEhFZa45DjOaGIpVakhhBBCCCG2iJKNWuDq6opt27YJk5f279+PVq1albn/vn37hJXLHR0d\nqf4+IYQQQgixSXWq9K1YPDw80L17d2F73rx5RovsFeN5Hrt378YHH3wgPDZixAgEBgbWSpyEEEII\nIYTUJJqzUUtu3ryJSZMmGZVTbN++PZo0aQJvb2/k5eXh5s2bRqVXW7RogR07dhitf0EIIYQQQoit\noGSjFl24cAELFiwQSriV5+mnn8Ynn3wiLCxICCGEEEKIraFko5ap1WocOnQIkZGRuHfvHqRSKbRa\nLTw8PNC0aVN069YNI0eONHvVYkIIIYQQQqwVJRuEEEIIIYQQi6AJ4oQQQgghhBCLoGSDEEIIIYQQ\nYhGUbBBCCCGEEEIsgpINQgghhBBCiEVQskEIIYQQQgixCEo2CCGEEEIIIRZByQYhhBBCCCHEIijZ\nIIQQQgghhFgEJRuEEEIIIYQQi6BkgxBCCCGEEGIRlGwQQgghhBBCLIKSDUIIIYQQQohFULJBCCGE\nEEIIsQhKNgghhBBCCCEWQckGIYQQQgghxCIo2SCEEEIIIYRYBCUbhBBCCCGEEIugZIMQQgghhBBi\nEZRsEEIIIYQQQiyCkg1CCCGEEEKIRVCyQQghhBBCCLEIJ7EDIJXHsVrwrBqcTiX8y7Fq8MX/sgwA\nDjzPA+AAnkfK1X1gNQpIHBwAiQMcndzg5FYPTu719P+61YPzo3+d3OvBxTMArt6N9PsTQuwSz/Pg\ndUqwjBycTgme1YLnHv3HasE9+pfndAB4gOfBqNVIu7YLEgdHSBycIJE4QuLgCAcnNzh7+sPFswFc\nPAPg7BUg/Ozi6Q+JA33dEGLPeI59dA+iAqdTP7o/UYNjVeB1anCsBuBZ8OABXn9vIs9JQ27cSUDi\nAInEEQ7ObnBy8YajqxecXL3g6OIFJ1dvOLn5wMW7IVy9G8LVpyEcHF3EfrukEujqb8V4ngWrKQCr\nyYNOkwdOWwiOVQM8W/lzcSx4jgHP6bc5RgVGlQfklX2MxNEZbvWawK1+U7j7hsCt/mNwr/8YnD18\nq/iOCCFiYRk5WE0+OEauTy4YOTidAsJFwWw8eE73KAHRGD2jKcoo/RCJBM5u9YUExM0nGJ5BbeHZ\noBUcnOimgRBbwzFK6DR5YDV5YLX66wrPMZU+D89z4DkWAAseDDidGjpVfgVHSeDs4QdXn0Zw9W4I\nd79QeDRoBff6j1EDqZWiZMOKcDoldOpHH15NHlhtIYDK3gjUHJ5loJLdh0p23ygncXT1hmeDlvBu\n1AnejTrBrX4T0WIkhJjieQ6sthCsWgqdRgZWnQee01R8oOUCAqPKA6PKgzInTnhY4uAED/8weAa1\nhVdQO3gGtIGjs5t4cRJCTPCc7lGjZ75wf8JzWjEjAqOUglFKIc+8LTzq4OQKd7/m8AxoCY8GreAV\n2AZObj4ixkmKSXj9WBsiAp7TgVFmglFmgtXIwLOWuxl4ePlvsJoii5zb2cMPXg07Pko+OsLZvb5F\nXocQUjZOpwKjzIROmQmdJq9KPaDmYNQapF750yLnhsQRHn6h8AxqB6/AtvAMagsnF0/LvBYhpEys\nJh+MMgOMMgscY5l7BwAoyk5Dbmykhc4ugYd/GHyadIVPcFe4+zWDRCKx0GuR8lCyUcv0CUYWGGU6\ndKrsKgxhqBpLJhvGJHDzfQz1Q56EX7On4OIVUAuvSUjdxGqLwCgzoFNmgtUW1MprWjTZKEkigVdQ\nB/iF9Uf9x3rRkCtCLEhIMBTp4HTKWnlNyyYbxpzcfeET3AX1mnSHd+PH4eBIg3tqCyUbtYDnWOhU\nWWAU6WBU2RZrcSxP7SUbhiTwDGoLv2b9UD+kFxxdPGr59QmxP5xOCW1RChhFmn7ORS2r1WTDgIOz\nu74RI2wAvALb1PrrE2KPWE0+GEUGGGXtJRiGajPZMOTo6g3f0D7wCxsAD//mtf76dQ0lGxakU+VA\nK08Bo8wUJcEwJE6y8R+JozPqNekO3+b94NP4cUgcHEWLhRBbw/M8dKosaIse6HtERSRWsmHI1bsR\nfJv3g19Yf7h4NhA1FkJsDcdqoC16AEaeIkqCYUisZMOQW72m8AvrD9/m/WgYuIVQslHDeJ4FI0+D\npjDJouMcK0vsZMOQs4c/Ato+C/+Wg2gyKCHl4HQqaOUPoS16CJ5Vix0OAOtINgQ0zIoQs7GaAmgK\nk8Ao0iFm8RlD1pBsCCSO8A19EoHtRsLdL1TsaOwKJRs1hGe10BQlQ1uYLG7VlzJYU7JRzNHFEw1a\nD0FAm2FUMYIQAyyjgKYgHow8FYB1XaKtKtkw4ORWD4HtRqBB6yFwcHIVOxxCrAajzIamIAGsRip2\nKCasKtkw4N2oEwLajYBP485ih2IXKNmoJo7VQFuYBE1hMsDrxA6nTNaYbBSTOLrAv0U4AtqNgKtX\noNjhECIalpFDkx8PRpEGa0syillrslHMydUHAe2Go0HrZ6jnlNRZPM9Dp8yAuiABXC0Vj6gKa002\nirn5hiCw3Uj4NusDiYTW8KgqSjaqiGM10BQkQFv0QPT5GOaw5mRDIHGEb7M+aPT4CzQOm9QprLZI\n35OhSBM7lApZe7JRzNHVG0Htn0ODNs/QasOkTmEUGVDnx4Bj5GKHUiFrTzaKufmGoHGXyfAJflzs\nUGwSJRuVxPM8tEXJUOfFWHVPRkk2kWw84uDoisD2IxHY/jkag03sGsdqoM67B0aeInYoZrOVZKOY\ns2cDNOo8Ab7Nn6KWSWLXWG0R1LLb0KlzxQ7FbLaSbBTzatgRjbtNgYdfM7FDsSmUbFSCTp0Hlewm\nOG2h2KFUmi0lG8WcPRugcdcp8A3tLXYohNQofaPFfajz4wCOETucSrG1ZKMYtUwSe8VzOqjz46At\nTIK1Dr8si60lG3oS+Ib2QaMuE2ktMTNRsmEGjtU+an18KHYoVWaLyUYxz8C2CH7iZWpJIHZBp5ZC\nJb0NjrG9RgvAdpONYvVDeqFJz9fg5OotdiiEVJtWngp13l3wrPUVpjGHbSYbeg6Orgjq9DwC242g\ncv4VoGSjHDzPg5E/hDrvHngba30syZaTDQCARAL/loPQuOuLNOmT2CROp4Y6765NzMsoj60nG4C+\nclXTXjNRr2l3sUMhpEpYbQFU0ttgNTKxQ6kWW042irnVfwxNe82EZ0BLsUOxWpRslIHVFEAlvQlW\nmy92KDXC5pONR1y8GyKkz9vwDGgldiiEmI1RpEMlvWnzjRaAfSQbxfzCBiC4+8twdPEQOxRCzMLz\nLNSye9AWJcPWhkyVxh6SDQCAxAEBbZ9Fo8cnUEGKUtBsuRJ4noemIAHyjLN2k2jYE21RJuKPLEHG\njT/Bc9ZfBYzUbTzLQJkTBWXONbtINOyNLPEUYg7MRVHGbbFDIaRCLCOHPOMctEX3YQ+Jhl3hOeTc\n3Y/YA/OglCaKHY3VoWTDAM8yUGZfgTrvHuiDbMV4Dlk3/0L84Q+hKcwQOxpCSqVTS1GUfsrmh03Z\nO0aRi8TjnyD18jZwOq3Y4RBSKq08DfL0szZZoKYu0RRmIP7wh8i5d0jsUKwKJRuPsJp8FGWcgU6V\nJXYoxExKaQJiD76P3LhjYodCiIDneajzYqHIvACeVYsdDjELj9zYw4g9OA+KnDixgyFEwHMsVLk3\noMqNsqly+3UZz+mQdvVH3D/9JVitUuxwrAIlGwC0RQ8gz/gXvI7+KGwNp9Mg9dK3SD67jlolieh4\njoEy+xI0BXGg3lHboynMQPyRJci+e0DsUAj5b9iUDVfCrMsKHl5G7MH5NKwKdTzZ4DkdlDnXoZLe\nBMCJHQ6phvzkfxF/5ENoFbazmBGxLyyjgDzjHHSqHLFDIdXBc0i/9jNSr/wAnqfvBSIOrTwV8vQz\nNlsim+hp5VmIP/whpPEnxA5FVHU22ShuMWAUqWKHQmqISnYfcYcW0jAIUut0qhwoMs6CY+Rih0Jq\nSG7MP0g+/RX1mJJaxfM8VNLbUOVeB3gqgmIPeE6HlItbkB71K+pqAdg6mWzo1DL9RCvG9kvBEmM6\ndQESji1F/oMLYodC6ghN4X0osi5RtSk7VJByBQnHlkKnptZlYnk8z0GVG/Wo2hSxN9l39uLB2XXg\n2Lr3XVHnkg2dKgeKrIs00cqO8SyD5DNrkXVnr9ihEDtW3AKplt0Gzc+wX8rceMQdXkyV74hF8RwL\nZfYVMIp0sUMhFpT/4DwSjy2Dzg7WPauMOpVsMMosKLIuU9dkncAjI+pXpF35UexAiB3SJxo3qAWy\njtAWZSHu8AdQZMeKHQqxQzzHQJF1ETpVttihkFqgyIlF3D+LoSmqO9VPncQOoLZoFelQ5USBWiDr\nlpwYfa3r4CdeFjcQYjf0Qx2iaf2MOobVFCHh+DKE9JmF+iG9xA6HiODevXvlPh8WFgYXl8qtHs2x\nGiiyLtL6GXWMtigTCUc/RounP4ard5DY4VichK8Ds1W0RSlQSW+gLicaDy//DbaOddsZCmj7LIK7\nvyR2GMTG8TwHZc416JSZYociGkatQeqVP8UOQ0QSNOn5Khq0elrsQEgta926dbnPnzhxAk2aNDH7\nfJxOCUXmRXA6RXVDs1lF2WnIjY0UOwzROHv414mEw+6HUWkKk6GSRqMuJxoEyLl3EGlXfxY7DGLD\nisdU1+VEgwAAj9TL3yP/wUWxAyE2TF8R8986nWgQgFFKkXD0Y7sfUmXXw6g0BQlQ55Xf7Unqjpx7\nBwAJENxtqtihEBuj79G4SmOqiR7P48G59XB09YZ3w/ZiR0NqSWxszczZ4RglFJnnwbOaGjkfsW3F\nCYc993DYbc+GpjCZEg1iIufuAaRd2y52GMTGqKQ3KdEgRniOwf1TX0CV90DsUIgNKZ6jQYkGMcQo\npUg4thSMUiZ2KBZhl8kGo8x6VI6SEFM5d/cj++5+scMgNkKdFwNGniJ2GMQKcYwSiSdWQiunVeNJ\nxXhOB2XWZRo6RUrFKHKRdPJzsIxa7FBqnN0lG6wmH8qca6A5GqQ86VG/oCA1SuwwiJXTFCVDUxAv\ndhjEiulUeUg8saLO1c0nlVM8FJPV5osdCrFiKtl9PDi7BjzHiR1KjbKrZIPTKaHIpnU0iBl4Hg/O\nrYMq76HYkRArxSgzoZZSDympmKYwHUmRn4HT0dAYUjq17DZ0KuoBIxUrTLuO1CvbxA6jRtlNssFz\nOiiyrtA4SGI2jlHh/snPoVNTfXNijHpISWUpc+ORfGY1eI4au4gxTeF9aItobg8xnzTuqF0N97ab\nZEOVewMcQzeNpHK0ihzcP/UFOFYndijESvCsFoqcqwBvX93YxPIK064j5dK3YodBrAijyoFadkfs\nMIgNSr/2CwrT7GO4t10kG+r8eDDKdLHDIDZKkROLlItbxA6DWAGe56HMjQavU4kdCrFRsoRIyBJP\niR0GsQIso6AeUlINPB78uxFahVTsQKrN5pMNRpkFTX6M2GEQG5eXdBq5cUfFDoOITFuYCJ3KvhdX\nIpaXevl7qAupAawu43keqtzrAMeIHQqxYaymCA/OrrX54Zk2nWxwrBYq6Q2xwyB2Iv3qdmgKM8QO\ng4hEp5ZCnUcNF6T6OJ0GD86sBcfSjWZdpSmIB6vJEzsMYgcUObHIiN4hdhjVYtPJhlp2myaEkxrD\nsRo8OLfe5lsQSOVxrIaGO5AapcpLRjotIFonsZp8aPLjxA6D2JHsO/ttev6GzSYbjCIDjCJN7DCI\nnVFKE5B5a5fYYZBapsq9QQ0XpMblxh5GYVq02GGQWsRzLJS510ENF6Rm6edvMCrbXKfFJpMNjtVA\nJb0pdhjETmXd2gNFboLYYZBaopWn0TwNYjEpFzdDp6UVo+sKdd49cIxc7DCIHWI1RUi9/L3YYVSJ\nTSYbault8JxW7DCIveJZPDy3nhboqgM4Vgu1jBbuI5bDKGVIu/Kj2GGQWqBT5UBbdF/sMIgdK3h4\nCfkPL4sdRqXZXLLBKNKpzC2xOE1RBo23rgPUMmq4IJaXl3QaBSlXxQ6DWBDPMlDm0pA5Ynlpl78H\nq1WKHUal2FSyoR8+dUvsMEgdkRt/DEoZtVLZK0aZRfO+SK1JubSVhlPZMZXsNnhWLXYYpA5gVHk2\n1xhqU8mGWnqLWiFJ7eF5Gv5gp3hOR/O+SK3SqfKRfXuv2GEQC9Bp8sAoUsUOg9Qh0oRIFGXazsr0\nNpNs6FQ5YJS0BgKpXYrse8hLPi92GKSGaQriqRWS1LqcmENglDKxwyA1TC27J3YIpM7hkXZ5G3iO\nEzsQs9hMskGLbRGxpEf9Co6lHjV7welU0BQmiR0GqYN4VovMGzvFDoPUIEaZBVYjFTsMUgepC1Ig\nSzwldhhmcRI7AHMwykywWtusLUxsH6PIQfadfWjYaazYoZAaoM6PA3jbaA0i9keaeBIB7UbArV5j\nsUMh1cTzPNR51evVuHA1Ftt+O46YhFQ4SCTo0CYEr7/8DDq2DUF6pgyjXlpZ7vHfrHod3Tq3KPP5\n2IQ0bPj+IO7GpcDR0QF9e7TFW68+C39fb2EfluWwasNuHI6MQgN/H7z96rMI79PR6Dznr9zDh5/9\nhr0/L4KXp3u13jOpOZk3/4Rvsz5wcHIVO5RyWX2yof8wU68GEVf2nb3wazEQLh5+YodCqoHVFoGR\np4gdBqnLeA4Z0b+hWf+5YkdCqomRPwTHFFX5+KibiZj9wXdoHhKEN14eCpZl8df+83h93iZs/fIt\nNA8NwtL3J5ocp9Ew+HLT3/Ct74WWzctOWu8/zMJr725AQIN6eG3K01Ao1fht9xncuJuM7RvnwMNd\nf4O678hlHDh2Ba9OGozU9FwsWrEdf377PpoGNxDOtfXno5g0ph8lGlaGUcqQc+8ggjqOETuUcll9\nssEo0qv1YSakJnA6DTKu/4aQPm+LHQqpBn0rJK3sS8RV8PAyFDnx8AxoKXYopIp4TqfvJa2G1Zv3\nIiigHn5Y9w7c3FwAAMMGdceE6avwzY//YMNnMzE0opvpcd/shY5lsWz+JPh4e5R5/s0/HoajoyO2\nfvWW0JPRpmUTzPnwexw6fg1jR/QGABw7HY3wPh0xbdIgcByHS1FxOH7mBl6ZGAEAOHvxDlLTczFh\n1FPVer/EMrLu7IV/y0FwcvMRO5QyWfWcDZ7noMmPFTsMQgAAeffPQSPPFjsMUkU6tZRWCidWI/36\nr2KHQKpBU5hUrSIThUVKxCdlYFC/zkKiAQD+vt7o0ikMN+8ml3pcwv0M/LnvHJ4d/AS6dGxe7ms4\nOztiWERXoyFTXTs1F85TLCe3AI2D9L32Dg4OaBjoi+zc/4auf7v9KCY93x9enm6Vfp/E8jhGhcxb\nu8QOo1xW3bPByFPA6aguObESPIecuwfQpMc0sSMhVaCmhgtiRRRZd1GYFgWf4K5ih0IqiWM10BQk\nVuscnh5u2Pn9+3A3SDSK5Rco4OjoWOpx3/z4D1xdnPHGS89U+BrLF04xeSwuUb8ocsPA+sJj9et5\nQq78L3EqLFKivo8nAODU+dtIz8rDhFF9K3w9Ih5p/HEEdRgNZ/f6Fe8sAqvt2eB5ttpdlITUNFnC\nSejUhWKHQSqJ1eSDVVPFGGJd0q/vAE/FCmyOtiAJ4HXVOoejowMeCw5AgH89o8fjk9Jx824yOrUL\nMTkmPikdZy/exZhnn0QD/8oNmcmVFiLy7E0s+fw3BPj7YOQzPYTnunQMQ+S5W7gbl4Jjp6LxIDUH\nT3RpCZ7n8e32o5gytj88PahXw5rxLIOcewfFDqNMVtuzoS16QHXwidXhWA1yYg+jUefxYodCKoFK\n3RJrpM57gIKHl1E/pJfYoRAz8RwLrfyBRc6tVGnw8Re/AwBemjDQ5PldBy7A0cEB45/rU+lzj5v+\nORRKDRwdHPDx+xPhV/+/oVWTn++PS1GxeHnWOgDAxDH90LVTGE6cvYEcaQHGP0e9GrYgN+4ogjqM\nhqNL2fN4xGKVyQbP89AU3hc7DEJKlRtzGIHtRsLRmVp6bAGnU4FRpIsdBiGlksYfp2TDhjDKdPAc\nU+PnVau1eO+jbYhPSsfLEwaia6cw4+c1DA5HRuGpJ9uhUVDlqiLqWBbz3hoDZydH7Dt6GR9+9iuk\neUWYNKYfAKCejwe2rX0HicmZ8PZyQ6MgP/A8j+9+OYYpYwfAw90Vl67FYd23+5FfoEB4345457Xh\ncHVxrrH3T6qPY1SQJpxAYLsRYodiwiqHUbHqXPA6pdhhEFIqViuHLCFS7DCImfQNF1SBilinooxb\nVHjChmgLk2v8nEVyFWYt2oprNxIxYkgPvPHKUJN9rt1IgFKlQcRTnSt9fidHRwwb1A2DBzyOr1e8\nhk7tQrHlp8NQGMzTcHR0QKuwxkIic/z0DcjyijBuZG/kFygwb+kP6NuzHVYsmoJ/L9/D978er/ob\nJhaTE/OPVa4qbpXJhrboodghEFKu7HsHwHOs2GGQCvCcDtoiywx5IKRm8NR4YSNYTX6NLzAsyy/C\nG+9/gxt3kjF6WC98MGccJBKJyX7nL9+Ds7Mj+vRoW63Xk0gkGPhUJ6jUWjxIzSl1H47j8N2vx/Di\nuHC4u7ni3KW74AHMmPo0unRsjlFDe+LY6ehqxUEsg1HkIv/hRbHDMGF1w6g4VgtGmSl2GISUi1Hk\nojA9GvWamNZAJ9V37175q/KGhYXBxcW0iktJWvnDak/kJMTSZImn0bDTeEgcrLL9jzyiqeGGC4VS\njXcWfYu4xHRMHNMPc2aOLHPfG3eT0a5VU7PLz8oVKrz09jqE9+2It1991ug55aMejbKGQR09FY2C\nQoWwDoc0rwg+Xu5welQhq56PJ3KlBWbFQWqfLCESvqG9xQ7DiNUlG4w8FYD1dQERUlJe0hlKNixk\n1KhR5T5/4sQJNGnSpMLzUC8psQWMUvqo8YLK4FornmXAKFJr9JyrNuxBXGI6Xhj1VLmJhk7H4v7D\nLIwaav7cHi9Pdzg7O+Lg8auYOj5cWPxPrlBh35HLaNzQD81DgkyOY1kO3/96DC+ODxfW/2jg54P8\nQgWUKg083F2RnikzqaJFrEdR5i1oFVK4ePqLHYrA6pINrZxuDohtKEi9ClartMrKDwRgNQXgmCKx\nwyDELNL445RsWDF9L2nNNYTef5iFf05cg5enG1qFNcY/J66Z7FO8enhmdh4YhjVaG6MkaV4RLkfF\noUWzRmjZvDEA4P23x+Ct+Vvw2rsbMGpoLzA6FnsOXYQ0rwhrPple6nCtw5FRkCvVeH74fy3jvbq3\nhqODA5Z8/hu6dgrDrgPnMW5k5StikVrC88hLOoOgjqPFjkRgVcmGTp1HNwfEZvAsg/wHF+Hf0rRE\nIame2NjqL8CnlafUQCSE1I7CtOtgVPlWuyhXXcbzfI3P/Yq6qV8UUK5QY9lXf5S6T3GyUVCoL5hT\n3loXyQ+z8NGqHZg+ZbCQbHTtFIZ1K1/Dt9uPYtMPh+Do6IjO7UOxYuFktGv9mMk5WJbDtt+OY+q4\ncLi5/jfEyt/XG599OBVrNu9D9K0kDO7/OKZNGlS1N05qhSzptFUlGxKe562mTIsy9wYY6tmwiIeX\n/waroUSupnkGtUPLpz8WOwxSAs/zKEo5Bp7TiB2K3WHUGqRe+VPsMOxSoy6TENSh/CGEpPbp1LlQ\nZF4QOwy7VJSdhtxYKpBgCS2fWQ7PgFZihwHAiqpR8ZwOjCJN7DAIqRRF1j1oFblih0FKYNW5lGgQ\nmyNNiIQVtf+RRxgFFa0htkeWdFrsEARWk2wwykyAp1KixNbwyEs6K3YQpAQtLeJHbJC2KBOK7Bix\nwyAlUIVMYosKHl62msYLq5mzoVPRokbENuUl/2tVYyPrOp7noVNmVPq4K9Hx2PrzEcQnZcDTwxUR\nT3XG6y8/Aw93V2Gf6Nv3semHQ7gXnwofL3f0790BM14cgvr1PCs8f1qmFOu27kfUDf1Y7T4922H2\njBHwre8l7KNUabDsy9/x75UYNG3cAO+/PQaPd2hmdJ6/9p/Hjt1n8Od378PR0Wrai0gNKUqPhldQ\n9dZSIDWH1RSAZ1Vih0FIpenUBVBJE+HRoIXYoVhHzwbP85RsEJulzn8IRlWzCz2RqmO1BeA5plLH\nXI1OwKyFW8EwLN6aNgxDI7phz6EL+N/ib8E9Wo312o0EvLVgMx6m5uDlFyIwbmQfRJ69iRnvbURh\nkbLc8+cXKvDm+5tx+95DvDg+HJOe74+zF+/g7YVbwTD/rQPy444TuHw9Hq+/9AwaBfli7kfbUCT/\n70ZHq9Xhx99P4NXJgynRsFNFmbfFDoEYoF4NYssK0qLEDgGAlSQbrCav0jcHhFiTooybNXau9evX\no3Xr1mjdunWNnbMuqUrDxdff7kdQQH1s/vJNjBvZB2+/+iz+N2MEbtxJxsVr+spYX276Gw4ODvhu\nzdt4ddIgvPxCBDZ/8SZSM6T4YceJcs//264zyM4pwMbPZ+KlCQMxbdIgfPbBVMQnpePgsavCfsfO\n3MDzw3tj8vP9sWz+JCjVWvx7+b8FDvf8cxFubi4YEt6l0u+R2AalNAksQy3p1kKnyhI7BEKqrDCV\nkg0B9WoQW1eUcUvsEMgjOlVOpfbXaBnUr+eFUUN7GZV77NIxDAAQn5SB9EwZEpMzMSyiG5o0biDs\nE/pYIJ7q2Q4Hj181Oa+hY6ej0bVTGJo99t8iWj26tkJIkwAcPR0tPJaTW4DGDf0A6Mtc1vfxRHZu\ngRDnz39EYjr1atg3nj/029AAACAASURBVIU8667YURAAHKsBq6WVsontUsnuW8XIC6v4xtKpqZoP\nsW1yGvpgFXhOB1aTV6ljXF2c8fXK1/DKxAijx+OT9JPMGwb6Ikeqv+EIC21ocnyTxv7IL1AgK7v0\nC3phkRJpGVK0aRls8lzrFk1wL+6/VYnr1/OEXKFv1eY4DnKFSpgPsvvABXh6uOHpAY9X6v0R20PX\nE+ugU9G9CbF1PAqtYCiV6MmG/uZA/KyLkOpglFKoC6h0s9j0DRfVq76RkSXDgaNX8OWmvxEW2hAD\n+nSAu5sLAP0E7pIKHs3XkOYVlnq+4kQlsEE9k+ca+HlDoVQLCUaXjs1x4OgVJD3IxI7dZ8DoWHTp\n0BxqDYOfd57Eq5MHw8FB9Ms2sTCat2EddOrK9ZISYo1qcph3VYn+raVTy1DdmwNCrIE1fKDrusoO\noSqpoFCJ56auxLKv/oBWy2Dum6Pg6uKMZo8FwdPDDZHnbhmVEtRoGVy8GvvoZ12p51Qo9QmKq6uL\nyXOuj4ZtqdRaAMDrLz8DhmHxwowvsf77g3hn+nA0DW6Av/b9Cx8vDwzu37la74/YBnXeQ+jUpSev\npPZU93pCiDVQ5sSLHYL4pW9ZtVTsEAipEUUZtxDQZqjZ++fn5yMjw7REa07Of19w9+7dM3new8MD\nISEhVQvSzukbL6pOIgFWLJwCRsfij71n8faCrVi+aDIinuqMSc/3w7fbj+LDz37Dyy8MBMdx+ObH\nw1A/ShTKmkdRnJxIJOW9rv7J4Ib++OPbeUhIzkSAvw8a+PlApdZg+86TmPvWaDg4OODQ8Wv4Ycdx\naLQMhj/9BKZTb4cd4lGUeRu+ob3FDqTO4nRq8Kxa7DAIqTatIgeMKh/O7vVFi0H0ZEOnoWSD2AdF\ntmliUJ7IyEgsXLiw3H1GjRpl8liPHj2wffv2Sr1WXcDzLDimqFrn8PH2wOBHcyIGPtUJE2d+ibVb\n9iPiqc54ddIgFMlV+HPvORw9dR0A8FSvdnhxfDg2bjuEet4epZ6zeJ0Ojca04l7xY54e/63l4ezs\nhLYtmwjbf+79F771vTCoX2ckJmdi6Ze/Y+6bo9CkcQN8+OkvCPSvh1HDelXrfRPrI6dkQ1SslnqW\niP1Q5iagXtPuor2+qMkGz/NU6YHYDVargFaeAxevALFDqZM4bRFqckimm6sz+vZsiz/+Pof8AgXq\n1/PEu68/h5cmDERKWi6CAuqhUZAfNv3wDxwdHNAwyLfU8zQM1D+eKzNNhHJlhfD2coe7m6vJc4B+\njsivu05j/qwxkEgkOHH2Bpo08se4kX0AABH9OuPo6WhKNuyQPPOO2CHUaRxDyQaxH4rcuDqcbOhU\nAM+JGQKpZQ+yVFj4fTxG9wnEuP6mlX3M3cfQom1xSEw3rUvfs009vDs2FACg1rLYtC8F1xMK0dDP\nFa8+E4w2j3kZ7X/0Wi4OXszBmjfawMGhnDEv5VDlJZudbIwZMwZjxowxeXz9+vXYsGEDACA2NrZK\ncdRFVW24SH6Yjf998C1eHDcAY0f0MXpOqdRAIpHA2dkRR05eRwM/b3Tr3AL+vt7CPtdvJaFNy2C4\nujiXPDUAwNvLHY0b+iE2IdXkudiENKNejJL++PscGvj5YGDfTgAAWZ7caMXxet4euC6lmyJ7pCnK\ngE5dCCc3H7FDqZOoZ4PYE7HnbYg60Jet5pAHYltYjsem/SlgubJbn83ZxxDP80jL1eCJ1j54+7nH\njP4b2uO/9RD2nMvGrftFmDCgEQLquWDVn8lQqFnheUbH4e9z2Xj+qaAqJxoAoJTdr/KxpHqqmmw0\nCfaHXKHG7oMXjVbzzsiSIfLcLXTt2ByeHm7YsfsMvti4Bzr2v7+bc5fu4sad+yZJSkkD+3bE5evx\nSH7435pCl6Pi8CA1Rxi2VZJcocavu07jtSlPC3M6Gvh5IzM7T5gHkp4lQ4C/aZUrYh/Uhelih1Bn\nUbJB7IlSmmhU3KS2idqzwTFyMV+e1LK//81Gak75E+7M2cdQTr4Wai2H7q3q4amOpQ9jAYALd/Mx\nuFsDDO8VgIgufnj1qzu4nlCIvh30xxy/LoWLs4OwXVXq/IfVOp5UHaupWrLh5OiIuW+OwkerdmDm\nvG8wdGBXFBQqsHPfv5BIgLlv6efNTB0fjgXLf8a7H25DeN+OyMiU4bfdZ9CrW2s8M7CrcL60DClu\n3k1Gp3ahCG7kDwB4cVw4Dh2/hrcWbMak5/tDq9Vh+86TaNOyCYYO7FZqXL/vOYOggPoY0KeD8NiA\nPh3x7S/HsHzNTgQ39MPJf29h3lumvWPEPmgK0uAV2EbsMOocnufo/oTYFU6nBqOUwcXTX5TXF7Vn\ngz7MdcfDbBV2n8vCmL5B1dqnpJRcfVnR4Aalj3kvJitiEFhfX3rU3dURPh6OkBbqJ+dqdRz2nq9+\nrwYAWmtDJDzPg63GGOuhEd2wYtEU6Bgd1m7dh9/3nEWXTmH44ev/ISy0EQD9hPHlCydDmleENZv3\n4ujpaEwZNwCrlrxkVInq+q0kfLRqB67fShIe863vhS1fvomWzRtj689H8PueM+jfuwPWLZ8OFxfT\nNh+5QoUde87itRf/3959x8dVnXkD/917597pVb3Llm1Z7lXuRmCMITHEtAAb0gik4k2yYbNpu9kk\n7Jt3d/NukoXdbMqyWUpoAYcWIGDABlcgxgXbcpUl25JmVEbS9Lnl/WNs2Y5kaWY0M2fK8/18/MEe\n3bn3JyPPzHPPOc+5MKoBAFMmVeB7X78V731wFE/+4W3ceUsLbli3OOnvm2S30CC9nrAQazRBLflJ\nfgkPjex+mSlMRzaUqJ/l5UmGKKqGX7zQgdmTLFg124mntnQldcxozo+CVBUbAMTWZhgkYcRxVpMO\ngXBs+ouqaQiEVdhMseNee78XRknAilkTbwsXGeqCpirg+JEZSPpoysTXf629Yh7WXjH27tzXtMzH\nNS3zxzxm/TWLsf6akQVAXU0pfnb/3XFlsZiN2PzMj0b92vXrmnH9uua4zkNyW3iAplGxQFOoSD6K\nDHUB5bPGPzANaBoVSbvntrvR2RfGfbfWQ7nM58F4jhlNhzsEo8Tj4dfOYsdBL0IRFWUOCbddWY4V\nMy9MiWqqNeOtvX1YMMWGPccHISsqmmotiERVPL/DjU9dXQl+rI0Q4qSpCsJD3TDYKyd8LhI/VR7Z\nIICQXBceZHcnspApEVpPSvJPeDC+m7jpwGwalaZEoalhVpcnGdLhCeGZt7vxyTWVKLKN3EE53mMu\ne/6eEIIRFYGQgq/cUIsvrq+BQc/j3ze1Y+u+Cxu83d5SDlnR8I1ftuKxzZ34xJpKlLv0ePW9HlgM\nApbNTN1mNxFf94Sev3HjRrS2tlInqgRQsUHyUcTfw3RRZ6Ga6H49hGSjgpxGpdCoRt5TVQ2/eKEd\n02vMWLNg9EVJ8Rwzlqvnu6BqwLpFFzpPrZjpwH2/bMWjmzuxcpYTPM+h1KnHv32xEe3uEFxWEQ6L\niFBEwfM7PLjr2irwHIet+/qwaZsbkaiKlrku3Ly6LKnRDjlEe8dkGhUbJB9pahRyaIDpzr+FSFMi\nrCMQknIFObKhylRs5Lvnd7hxqjuEO66qwGBAxmBAhj8Uay0allUMBmQ8t338Y9Qx7uytXVh8SaEB\nAJLIY9VsJwb8Mk73XOhspRN4TK4wwWGJ7Yfw6nu9sJl1WNpkR4cnhP98vgPXLi7GPR+txsvv9uDN\nPX1Ihhyi+b6ZpilUbJD8FA30so5QcDSVig2SfyKBHmbXZjayQXcO8t/e40OQFQ3ffWjkZjIv7PDg\nhR0elNjFcY954N6m4U5S8bKZYz/aocjoC0BCEQUv7HTj7uuqwXEcdh70oswpDRcuS5vs2H7Qm9Ro\nS5RGNjJOleNvl0xILon4e2AqamAdo6CoapR1BEJSTo0GmTWwYVdsaMr4B5Gc9sm1lfAFL/3/POCX\n8eBz7Vg124nVs52QRB6RqDrmMQ7L6D+mfYNR/NPvjmPZDAduWX3pTuNne2PrgS5XpLy8uwdOi4gl\n0+3D1zxfoACA1ajDofbkuqXRNKrMo2lUJF9F/TSykUmapgFUbJA8JYd9EI2Z3wiWXbGhyuMfRHLa\n5ArTiMfc3tiIVplDwpzJ1lGfF88xAOCyiQiEVbyxpw8fWVICkz5WrfcMRLBlbx9m1lmGp0xdLBBW\n8OIuDz7/0erhPQwcFh3+fDQKTdPAcRzc3ghc1pHPjYccosWFmUbTHki+ksM0LTOT6LWE5DMlwqbY\nYLepH41skAR194fx9v5+dPdf6GJ217VV6B2K4u9/ewx/3O3BM2934zsPHQXPc7jruqpRz/PHXR4U\n2UQ0N174B9c83Y6+oSh++eJpPPtON3a3DmB5kh2qaGSDAXo9IXlKm+D+MSQxGo1qkDwmh9ncDGXX\n+pZGNkiCDrX78eBz7ZdMb1rcaMd9t9bDIPL43eZOvLTLg2nVJvzoM1NQfW6jv4sFQgr+uLsHt64u\nv2Rn5tpSI76wvgYH2obw8u4eXL+0BFfOcyWVk4qNzKNpmSRvqVRsZJKmULFB8pcSZtOcidZskIwq\ndUh48ntzkzqmZa4LLXNHFgCLG+1Y3BjfsKDJIOCh+0bfQfPKea6kC4yLKVFaP5BJmqZNePdwQrIV\nvVdmFk2jIvlMiSS3FnWi2E2jopENkqe4FOxEThJAH8ZIHqNpVJlFxQbJZ6xuXrCbRkUfEAghKUCv\nJSSvqfTznUka/X0TknIMiw0a2SCEpADd+SV5jEY2MovjMr8HQSHTxti0l+QPZms26G5NZhkdNfB1\nH2Qdo0DQNCqSnzRNw8CZw6xjFBQqNjKMZze7PF+pigIlEoUcCSIa8iMaGEDU34uIzwMlGmAdj2QA\nu2JjAncPPrPx5zh4pGPE41etnI3/+/efjvuYiZw/EAzjhz95AtvePYyaymJ8896bMG/WpEuO//0L\n2/H4s1vx1G++CUFg+wJmKWugYiNTaM1GZtGdyIwZcp/B0Nl9rGMUFJrWk1k0spEcVVGhRCKQIyFE\ngz7IoQFE/H2xgoLRomSSPZgVGxyf3KU1TUNbhxtXLJ+Fq1bOvuRr5aXOuI+ZyPkB4LePb8buPUfx\nxU9fiz/vO477vv8QNv3vd2C1GAEAkYiM3z6xGV/+7EeYFxoAoLfawesMUOUQ6yiEpBR9OMiM0OAA\neo+8xTpG4aGRjYyi15PLUxUVSjQCORyGHPIhGjxXUPg9zFqqktzAsNhIbnfms919CATDuGLZTFy3\nZmHSx0zk/ADw2ta9uHn9cnzi5iuw4bolWHvr97Ft9yFce9UCAMCml3fCYJCw7sr5CV0/XXieg7Vi\nJgY63mcdhZCU4nj6cJBu0XAY3QdeBUDzqzONGiBkWIEXG7GCIgo5HIQc9iMaGEQkcG6EgtGGcCR1\nkr3RP1E5V2ycaOsGANTXlk7omIk+19MzgMry2J4MZpMBDpsZ7p7YZm7hSBQPP/kGNt69PitGNc4z\nl9RRsZEBvCCxjlB4OIFa4KaJIivoPvA6VCXMOkpBoteTzOK47HnPThdVjRUUSjh0YQ1FoB8Rvwdy\naJB1PJJGOr2FzXWZXBUTKDZOdQEA6mvKAADBUBhGgz7hYyZyfgBw2M3w+WObt6mqCp8/CIfdDAB4\n9sUdMJsMuKZlXkLfW7pJJhN0RgfkoJd1lLymM8S3wSBJHY4T6A5wGmiqBs+RnYgG+lhHKViiceIb\njZIE5MnIhqqq5xZlh6GEfReNUPRADg2wjkcYESQqNuJy4lQXzCY9fvar5/H6lr0IBMOoqijClz5z\nLa5pmR/3MRM5PwDMnz0ZL/7pXaxobsKOdw8jKiuYP2syQuEoHn76TXzt8zeAz7KuFhzHwVYxE30n\ntrGOktdEIxUbGZcnHxCyTX/7YQR7T7COUdBEExUbmZRLazZUVTs35SkEJeRHNDSIiP/cCAXdVCSj\n0OmtbK7L5KqYSLHRDX8gDJ8viO//7e3w+YJ44g/v4Hs/fgyyrOIjVy+M65iJnB8AvviZa7HxW7/C\n7Z//CXiew1fvuR41VcV49Om3YLOYsPaKuUl9f+lmKq5CH312SCudwcE6QsHhBQmKEmQdI6/4PF0Y\n6HiPdYyCR8VGhmXZGrDYlCcZSiQ25UkOxgqKqL8H0aAXtI6KJEKgaVTx2XDdEqiqhltvWDH82NqW\n+bjjCz/Bv//mRay7cn5cx1xuLUW8z60qL8KTv/5bHGvrQkmRDcUuG4KhMB55+k3c95UbwfM8/vj6\n+/ifx19HOBLF+msW4+5PrGU+2iHq9dDbKhEePMs0Rz7T0chGxnE6IxChqQGpEvb54Gl9nXUMAio2\nMi3ZzyYToWoa1HNTnuRzIxRRfz8i/h5EA/2ggoKkBgdBMjO5cs61vr15/fIRjxn0Iq5bswC/efQ1\nnGzvjuuYKZMqkj7/+eeKog5NU6uHj3vquW1wOiy4evVcHG/rwg9+8gTu+/IGVFcW4+9//ChKi+zY\n8JGlSX3fqWSrbIKHio20EWlkI+N4wcg6Qt6QI1F0HXgFoJ19swIVG5nFcTw4wQBNSW2beE3VoMgy\n5HAo1uUpOBRblO3rQTTYR//eSNoJkolZAwR2xUaKO2y4HLGhoUDw8h1T4jkm2ecGgmE89swW/N3G\nm8BxHDa/vRfVFUXDIyRrVs/Fn7Z8kBXFhtFRhtgu1/Tilg60QDzzeB0VG6mgKiq6P3wDajT7pqQN\n+mU8/mYn3j86iEhUxaRyI+64qgLTqke/U/fLFzvQ1RfG9z81Ja7zu/vDePj1Thw8FdsvYMFUGz51\ndSVs5gtvk6GIgv98vgN7jg2i3KXH566twvTaS6cl/On9Hry004Offmk6eH5iG3xyvECvJwzwOiOU\nJIqN4YLi/AjF+YLC34NooJcKCsKUaC5mdm1mc3p4nSnh57h7BnDbPf+K3zz6pxFfa+vwAIhtvDfe\nMedb1iZz/ss998k/vINilw1XrZwDAOjr98HpuPAmZLea0NObHS3lBFGAqbiBdYy8RdOoMo+jYmPC\nNE1Dz7H3EPG5WUcZIRhW8P2Hj2HHIS/WLijCx1vK0TcUxY8ePY5298jC6I09vXjjg/g7aA0FZPzw\n0eM4dsaPjy0vxfqlJXj/yADu/91xyMqFTfU2vePG/pNDuK2lAiV2Cf/yVBv8oQtd0KKyij+848bN\nq8omXGgAgM7oBMdN/DwkMWN9PtFUDXIkirDPB3+PG97Tx+A+8i7O/PkVtG3/HTp2PYHOPZvgOfQn\neNt2wO8+jKi/hwoNwpzekvh2EKnCrNjgBEPCHWRKi+3wB0L4w8u74PNfuOvQ7fbipdfexcK5DXEd\nU+yyJX3+0Z7r84fw2DNbcM+d1wy/MRS7rOhy90M79wJztrsPJUXZ8yHUUj6NdYS8JZlLWEcoOLxg\nYB0h5w2cOQ6/u5V1jFE9t92Nzt4wvvnxSbj1inJ8pLkEP/h0bMTi+R2e4eNUVcPvt3bhVy+dTuj8\nL+3yoHcwiu/d2YCPLS/FTSvL8PWb63GqO4Qte/uHj9tx0Iu1C4uxfmkJNm6oRSiiYs+xCzeRXt/T\nC0nksXKWc4LfcQxNoWKDEwxQIjLCPj/8vW54Tx+H58j7OLPnVbRtfxwdu57A2T2b4D70KvpP7oC/\n+zAifg/t9k6ymmQpY3ZtdtOoOA68aIGa4KLO+75yI775g9/i7q8/gA3XLYU/GMbTz2+DwPP45r03\nxX0MAJzp7MW+g22YM6MeVRVFCT33Yk9s2oqyEgdaVswafqxlxWz8+tHXcP9Pn0ZVuQtvbtuPv/3K\n6M9nwWB3guNFaGqUdZS8wusMkBjePShUNI1qYgJ9Peg/uYN1jFFpmoYt+/oxf6oNM+oujBY7LCLu\nvLoSunMjCBFZxXcfOop2dwirZztxoM0X9zW2f+jFjDoLqosvFK1zJltRWaTH9oNerFkQe3/oG4qi\n1BGbAmzUC7CZBPQORoev/9x2Nz5xVWVKRjUA2mODlUC/Gx27Hmcdg5CU0tvKmV2baWskQUy8BVfL\n8ln41+9/BkaDhAf/+yX87pktmN1Uh9/8dCMm1ZbFfQwA7Nl/At//l8exZ/+JhM5/MZ8/iMc3vY17\nPnnNJcPdUyZV4HtfvxXvfXAUT/7hbdx5SwtuWLc44e83XQSeh6W8iXWMvGNw1NC0BwZiI6XM7p3k\ntEggCPehkVNHs4XHG0HfUBRzJsXeLzRNQygSm7q0blHxcCEQlTUEwyq+dlMdvvKxWlym4eAIvqCM\nbm8EkytGFqyTyo043hkY/rPVpEMgHLu2qmkIhFXYTLER+tfe74VRErBiVuoaRNDIBhsGWyXrCISk\nnN5WxezaTN+d+SSKDQC4YvksXLF81oSPWX/NYqy/ZmQBEM9zz7OYjdj8zI9G/dr165px/brmuM7D\ngqV0EobO7mMdI68YnXWsIxQkjuMgSHYo4V7WUXKKHJXRdeAVaGr27r7e2RcBANjMOjz6+lm8vqcX\nwbCKMqeET6+txMJpsempRj2Pn39lOoQERxX6hmIjEy7ryJanDouIYFhFIKTAZBDQVGvGW3v7sGCK\nDXuOD0JWVDTVWhCJqnh+hxufuroSfApvNhjs7D4cFDI9FRskD7EsopMqNg4dOjTm1xsaGiBJ43eb\nEqTR106QzNCbrRAkM5SIn3WUvGFw1rKOULAEvY2KjQSoigb3oa1QwvFPN2Lh/EjCU291QRA4fOaa\nKvAc8MJOD/716TZ8547JmDPZGvuQn8Tn/FAkNs9eEkcOhUi62AlDURUmg4DbW8px/+9O4Bu/bAXH\nAZ+8uhLlLj1e2OGGxSBg2czUtr02lzSm9HwkPjq9BaLJhWgg/iYDhGQzQW+FaErNWrJkJFVsbNiw\nYcyvb968GdXV1WMeAwCClD0LpgsRx3OwVs6Ct20X6yh5w+igkQ1W6PUkfpqmoe/kBwgPnGEdZVxR\nOVYM+MMKfval6bAYY29bC6fZ8df/cQiPv9mJOZOtSZ9fPdckaKw65fxgSalTj3/7YiPa3SG4rCIc\nFhGhiILnd3hw17VV4DkOW/f1YdM2NyJRFS1zXbh5dVlSox28aILBUZP4N0RSwlQ8BQPtu1nHICQl\nzMXxtQBPF6ZrNnidERyf2v02SGLMRfRmlko0ssGOINFmivEa6urAUOcB1jHiopdib1PNjfbhQgMA\nzAYBC6facLIzOLyGIxnGc+ePyCNbk55/zCBdeKvUCTwmV5jgsMSmXb36Xi9sZh2WNtnR4QnhP5/v\nwLWLi3HPR6vx8rs9eHNPcnfHzSXTaP0XQ+Zi6thI8oepeCrT6yc1stHamrr2iIJkhxzyjH8gSQvR\naIBoLo71AScTIpqKoJNG32CMpB8vWgCOp/aT4wgOeNF7bAvrGHE7v5bCbh75dmU366AhNhXKICXW\nSv28YnvshpfXN7IzX/9QFGaDcNlzhyIKXtjpxt3XVYPjOOw86EWZU8K6RbHNs5Y22S/pZpUImkLF\nFusPZ4SkEuvimenIBgAIepr6wBLHcbBVzGQdIy+YS+hOGEvnF4mTy4sGQ+j+8BXWMRJSU2KAKHDo\n8IRHfM3tjUDUcbCZku91YjYIKHVIONk1cnPAtu7gqF2qznt5dw+cFhFLpsd+7gb88iU7jluNuuEF\n6AnnomKDKVNRQ8J7gRGSnTiYCnkaFQDoDLQBGmumogrWEfKCtWIu6wgFT9BTq9DLUWQFXR++Dk3J\nrb11DJKAhdNs+PPRQXR4Lmy26u4P4/0jg1g0zT7hfS2WTLdj/8khnOm5cP59J4ZwtjeM5TNGn54X\nCCt4cZcHt6wuG57u5LDo0DsQHd7M1e2NjNrlalycwPzDQaHjdRKMNC2W5AG9vRKCZGKagXljesHg\nivXH12TWUQqWThJhcNYi1N/OOkpOs1bOYR2h4OkMxYgMHmcdI+uomgZP63bIwf7xD85Cn1hTiYOn\n/PjhI8dxXXMxdAKHl3f3QBJ53HFlYhtVdfeHceR0ANOqTShz6gEANywrxdb9/fjRY8exfkkponKs\nle3kCiNWzR69g8sfd3lQZBPR3HhhNK15uh2/39qNX754GqVOCbtbB3DXtYm3rzU6ayGIhvEPJGll\nLpmGYN9J1jEImRDWU6iALBjZ4DgeOmMx6xgFz1oxnXWEnKa3VUAy088xazqDC0n1P81z/W0HEexr\nYx0jaaUOCfd/dgqa6sx4YYcbz77TjfoyA374mSnDBUO8DrX78eBz7TjUfqHlt82swz9+qgF1pUY8\ntaULf9zdg8WNdnz79skQdSPfJgMhBX/c3YNbV5dfsoi7ttSIL6yvwYG2Iby8uwfXLy3BlfMSH22j\nKVTZgUarST6wVrL/Oea08+O9DEWG2hHs3cs6RkFTZAXtO5+gxbVJKm5ch+rmz7GOQQD4OrfTfhsX\n8XnOwnN4M+sYJAF1q74GZ/1y1jEKniqHsf+pu3Ju6iEhwzgBsz/+38ynUTEf2QAAnbGUdYSCJ+gE\nWErpblqyrBU0hSpbiCZ6PTkvNDQEz+E3WMcgCZrIyMYDDzyAxsZGNDbS6/lE8To9LGXUQIXkLkvp\ndOaFBpAlxQavM4Cn3cSZs5Q1sI6QmziB3pCyCN28iImGI+g+8AoA5oPXJAFG1yRI5sRb5ZL0sFUt\nYB2BkKTZquazjgAgCxaInycaSxGODLKOUdD0Vjt4nR6qPLLFJLk8c/GUrLhzQGIEyQZOMEJTRrYy\nLRSqosL94RtQ5dD4B5Os4qhbxjoCuYitagHOvPsQ6xhkDG5vBBsfPDTmMf9wZwNm1ltw7EwAT23p\nwpHTfsiqhvoyI25eVYb5U8a+4X3b/WNP9f/S9TVomRtbn/XUli688m4PjBKPG5aXDu+7c16HJ4Rv\n/eYI/t8XGlHuSmzNWaJs1dlRLGdNsaEzliE8cIx1jILG8zysFTMx0PFn1lFyioPmVmcd0VxZsF2p\nNFWD58huRPy0WWouctTR60k20VtLYbBXIzRwmnUUchk2k4B7PzayTXEkquJ/Xj0Dm1mHujIDzvaG\n8YNHjsFm0uHGTSNcCQAAHMBJREFUlWUQdRze2tuHf37iJP7mlno0T7/8Pk2jnV/TNDz8+lnIioYZ\ntbENffceH8Izb3fj+mUlgAY89MoZ1JQYMKPOMvy8p7d2YdUsZ9oLDckS+9nNBllTbAh6JzhehKbS\nQiyWzMV1VGwkgOMFOOtXsI5B/oJkqSrYYsN75igCPUdZxyBJMBY1QG+laYDZxl63FKF9v2cdg1yG\nQRJGbVH92z+dgaxq2LihFhajDv/1YgcEnsP9n50K57n9b66eX4T7ftWKxzafHbPYGO38L+3yYCig\nYOOGWpSe64q346AXU6tMuHNNJQDgcIcf7xzoHy42TnUH8f6RQfz0i+lfU5VNo6RZU2xwHAedqRxR\nXwfrKAVNMpuhM9ghhwZYR8kJ1sp50BlovVG2ESQ7eNEKNTrEOkpG+Xs98LbtYh2DJMmZwIcDr9eL\nzs7OEY97PBdGtA4dGjm1xGQyoa6uLrmABco1uQXd+54BrX/KHe3uIF55twctc1xoqrVA0zQcavdj\nToN1uNAAAEnksXCqDX/c3YNBvwybOb6PxV5fFE++1YVZ9RasnHWhEOkbiqLUIQ3/udQhoXfwwk30\np7d2Y/Vs53Bxkk6uhpa0XyNeWVNsAIBkradigzGO42CtnIX+E9tYR8kJrslXsI5ALkOyVCPUP/Y8\n3nwS9gfgPvQa6xgkWRwHx6SVcR/+xhtv4Nvf/vaYx2zYsGHEY83NzXjkkUcSjlfI9NZSmEunw+8u\nnNeTXPfEm12QdDxua4lt+slxHH5811SAG7kP01BAAQDwCbRM2rTNjYis4pNXV17yuNUkwB9Shv/s\nCyrDBUxbVxB7jg3ip19K/75mpqIpMNgT31A0XbKiG9V5Or0DgnT5YSySGeaiyvEPIhAkM2zVC1nH\nIJchmrPnhTbdlIgc6zylKeMfTLKStWIuJFPiGwCSzMimu8RkbKe6g3j/6CDWLiy6ZBSj1Km/ZNQB\niI1Q7G4dQGWRHhZjfPffB/0yNv+5F82NdtSXGy/52oxaCw60+XDg5BAOnBzCwVM+zK6PTaF6aksX\nrpjjHJEhHbLt5zWrRjaA2OgGbfDHlmgwQG+tQHho5BA9ucBRtwy8II5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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "hpc_pie(tmp_df, 'SUMMARYSUVR_WHOLECEREBNORM_1.11CUTOFF', path_results + 'adni2_adcn_hpc_av45_pie.pdf')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## apoe4 carriership in ADNI2 AD vs CN" ] }, { "cell_type": "code", "execution_count": 125, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "baseline rate in NON-TARGET subjects: 0.29411764705882354\n", "##########\n", "baseline rate in TARGET subjects: 0.7045454545454546\n", "##########\n", "number of subjects with VOI in the whole sample: 117.0\n", "total number of subjects with VOI data in whole sample: 275\n", "ratio: 0.4254545454545455\n", "##########\n", "number of subjects with VOI that are positive at stage 1: 44.0\n", "total number of positive stage 1 subjects with VOI data: 88\n", "ratio: 0.5\n", "##########\n", "number of subjects with VOI in HPC-AD: 25.0\n", "total number of HPC-AD subjects with VOI data: 46\n", "ratio: 0.5434782608695652\n", "##########\n", "number of subjects with VOI in Non-HPC+: 19.0\n", "total number of Non-HPC+ with VOI data: 42\n", "ratio: 0.4523809523809524\n", "##########\n", "number of subjects with VOI in negative subjects: 73.0\n", "total number of negative subjects with VOI data 187\n", "ratio: 0.39037433155080214\n" ] } ], "source": [ "compare_ratio_var(df3, 'APOE4_bin', 'AD')" ] }, { "cell_type": "code", "execution_count": 126, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "observed freq: \n", "[[ 114. 23. 21.]\n", " [ 73. 19. 25.]]\n", "Chi2: 3.68731807998\n", "p value: 0.158237368667\n", "degress of freedom: 2\n", "expected freq: \n", "[[ 107.44 24.13090909 26.42909091]\n", " [ 79.56 17.86909091 19.57090909]]\n" ] } ], "source": [ "tmp_df = chi2_fn(df3, 'APOE4_bin')" ] }, { "cell_type": "code", "execution_count": 127, "metadata": {}, "outputs": [ { "data": { "image/png": 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e53HmzBmMGDECffr0QVhYGORyOc6fPy8kEEFBQcIwjPuTmIrynomJiQAMPQIn\nTpxAjx49EBwcjJKSEiQmJpokNj4+PsKHsbi4uNL33LZtW6FnZ926dbh58yY8PDwQExOD4cOHV/v7\nqsrEiROFG/mK39OYMWNqXJTNy8sL69atw4svvoiSkhLodDqsWLEC3377Lfr06QMvLy/k5OTg2rVr\nJj0+jz32GGbNmmVyLicnJyxfvhyzZs2CXq9HdnY2XnjhBXTo0AFt27aFv78/SktLcfXqVUilUuG4\nJ598EoMGDarX+yb2oS7XjC5dumD58uVYuHAh9Ho90tLSMHXqVHTu3BmRkZGQSCRISUkRihcAhqF9\nK1asQMeOHS39Vpq1ipK4v/zyCwBDI8+qVauwevVqREZGIjw8HP7+/lCpVMjPz8f169dNen07duyI\nb7/9loZsENJEVqxYYVJ+v7i4GEuXLsXy5csRFRWFsLAw+Pj4QKFQICcnBzdv3jSZW9enT58ah1YT\ncTSrxAMwfIG88cYb1Y7XrjBo0CD8/vvvWLBgAZKTkwEYqlIdOHDAbF83Nze89dZbeOmll6o835Qp\nUyCRSLB8+XIolUrodDqcOXPGZB9HR0e89tprYBgGmzZtAgCzLztHR0d89913+L//+z9h2FBZWZnJ\nYlfG+z733HN4/PHH8cwzzwAAkpOToVKpzMpKTp8+Hfv374dOp4NOpxPep5OTU70Tj379+qFVq1bI\nzs4WHquqmtX9unTpgm3btmH+/Pm4fPkyAMMQlcrmvzg6OuKFF17AvHnzKp2rMnDgQKxfvx7vvfee\nsFBbamoqUlNTzfZ1dnbGzJkzMWfOnFrFSexbXa4ZY8eORXBwMN577z2hpbyq1rO2bdti9erVJsUU\niGVIJBIsXrwY/fv3x5dffikUmeB5vtrWTWdnZzzzzDOYO3duncrwEkIaxsXFBV9//TW2bt2K9evX\nCxVBWZYV1tyqjIeHB2bNmoVXXnmlwQsVEstolv9XZs2ahUOHDtVqOFHXrl2xc+dOHDlyBEePHsXV\nq1dRVFQEjUYDb29vdOjQAYMGDcKUKVMQGhpa4/kmT56MwYMH488//0RcXBxycnKgVCoREhKC/v37\nY/r06YiKijIZ/+3t7W12nrCwMGzfvh1///03Dh06hMTERJSVlcHJyQk+Pj5o164devTogUmTJqFd\nu3ZgWRYhISEoLCyETqfDnj178NRTT5mc84EHHsDvv/+ODRs24Nq1aygrK4OHh4fZ8Ka6qFjTY/36\n9QCAyMhIkwpANWnVqhW2bNmC+Ph4HDhwAJcuXUJhYSFUKhU8PT0RERGB/v37Y8qUKWjbtm2154qO\njsbBgwexa9cunDx5EklJSZCEQW6LAAAgAElEQVTL5dDr9fD390erVq3w6KOPYsyYMTSBlJioyzVj\nwIABOHjwIPbs2YNjx47h+vXrkMlk0Ov1CAkJQffu3TFy5EiMHDmSvhib2PDhwzFs2DBcuHABx48f\nx/Xr15GdnQ2ZTAatVgtvb28EBwcjIiICw4YNQ0xMDFXEIURETz75JCZMmID4+HicPHkSN2/eRHZ2\nNkpLS6HT6eDr64ugoCB07NgRw4cPx5AhQ6h0rpWT8E1RW5XU2bvvvoudO3cCAF566SWzCeKEEEII\nIYTYEmpuawIlJSX473//i9atWyMiIqLGspkcx5lMSqVqN4QQQgghxNZR4tEEXF1d8eOPPwoTn3bv\n3o3IyMgq99+1a5ewYrqjoyPV9yeEEEIIITavWZXTFYuHhwf69OkjbM+fP99kQb8KPM/j77//xvvv\nvy88NnbsWISEhDRJnIQQQgghhFgKzfFoIgkJCZg2bZpJicZu3bqhVatW8Pb2RklJCRISEkzKuXbs\n2BFbtmwxWV+DEEIIIYQQW0SJRxM6c+YMFi5cKJSFq85jjz2GTz75RFjEkBBCCCGEEFtGiUcT02g0\n2LdvH2JjY3Hr1i0UFxeDYRh4eHigdevW6N27N8aNG1fr1ZIJIYQQQgixBZR4EEIIIYQQQiyOJpcT\nQgghhBBCLI4SD0IIIYQQQojFUeJBCCGEEEIIsThKPAghhBBCCCEWR4kHIYQQQgghxOIo8SCEEEII\nIYRYHCUehBBCCCGEEIujxIMQQgghhBBicZR4EEIIIYQQQiyOEg9CCCGEEEKIxVHiQQghhBBCCLE4\nSjwIIYQQQgghFkeJByGEEEIIIcTiKPEghBBCCCGEWBwlHoQQQgghhBCLo8SDEEIIIYQQYnGUeBBC\nCCGEEEIsjhIPQgghhBBCiMVR4kEIIYQQQgixOEo8CCGEEEIIIRZHiQchhBBCCCHE4pzEDoDUHc+x\n4Fg1OL0avF4FTq8W/vGsGjzPAjwPnucA8ADPIeviLrBaJSQSB8DBEY4unnBy9Rb+Obrd/dnNB65e\nLeDq2xLOHoGQSCRiv11CiIXwPA+e1YBjNeD1mrvXFY3hMb0aPKsBz+kB3Lue6NQaZF/cBomDAyQS\nR0gcHOHg7AFnN184ufvCyc0Xzm5+935294OLVwhcPIPEfruEEAviWQasXgme1YJnteDu+y/PasFz\nDHieB8ABPA+FNBdFyXGQODhC4uAESBzg4OgCZ3d/OHsEGP0LhLNHAFzu/uzg5CL22yX1RImHFeM5\nPfSaYrDaEnA6xb3kgtPW41wseE4HHgBYgNOpoFNKqz3GwckVrj4t4eoTBjefcLj5tYJHUCe6gSDE\nBnEsA1ZbAlYrN/xXVw6e1QKGq0Id8ADPgmdZ8NABAFhGWfP1xNkD7v5t4O7XBm7+beHu3wZufm3g\n6OxWvzdECBEFz/PgdAqwujJwTBnYu/94VlOPc3HgOf3dBg7DvQ0LQKcqBoqrPs7RxROu3mHwCOoI\nj6BO8AzuBFfvFvV7Q6RJUeJhRQw3BjJDsqEpBsuUoe43BY0Yj14LtewO1LI7Jo87ewTCM6QLvEK6\nwDOkC9z8Wht6UgghVoHnOXBMGfQVSYa2BJxeKWpMnE4FZWEilIWJRo9K4OIdAs+gSHiHPQjvlj3g\n7O4nWoyEEHMVjaB6jRSspgSsrgzgOVFjYhklVMW3oSq+DSQdAAA4unrDM6gTPII6wjMoEh5BHeHo\n4iFqnMSchDf0eRERcKwWrKb47ge6GJyu3GKvlXn+H7Bay5zf0cUTniFd4NuqD3xb94WTm49FXocQ\nUjVOr4ZOmQedKh8sU2KxGwOdRovsC39Z5NwA4ObXBt4tH4RP2EPwDO0CB0caUkFIU2OZMujVhdCr\npdBrZAAscz0pL8xBUVKsRc4NSODmGw6fVr3hFzEQHoHtLfQ6pC4o8WhiPKsDo8yBTpkNVlvSZK9r\nycTDhEQCz+Au8G3dF75t+sHVK8Tyr0lIM3Uv2chtsuuJpRMPYxJHF3iFRsGvTX/4RQyi1ktCLITn\neejVhdApc6HXSO8Ow7Q8yyYeply8QuDXZgD8IgbAI6hjk7wmMUeJRxMwfKCl0CmyoFPni9JF2WSJ\nx33c/dvCr93DCOwQTT0hhDQCTq+BTpULnbLpkg1jTZl4GJM4OsO3dV8EtB8K77AHIXGg4Z2ENBTL\nlINRZEGnzG6yZMNYUyYexlw8g+Eb0R9+bQbCM7hTk79+c0aJhwWxOgV05VlglNn1mnTVmMRKPCpI\nHJzg27ofAiOHw7tFd9HiIMQW8TwLnSIXjCITrFYmaixiJR7GnNz9EdDuEfh3GAJ3v9aixkKIreFY\nBjplDnSKLLBMqaixiJV4GHP2DEJAh6EIinyM5pg1AUo8GhnP3R1KpWjaoVQ1ETvxMObq0xKBnYYj\noMMQOLl6ix0OIVaLY7VgytLBlKeD5xixwwFgHYmHMY/ADgjpNg6+bfpTkQtCqsFq5dCWpkKnyoel\n5mzUlTUkHhUkDk7wixiI4KjR8AjsIHY4dosSj0bCsQyYsjRoy+4AvF7scMxYU+JRQeLogsBOMQjt\nNh7OHgFih0OI1WB1CmhLb0OnyIG13CBUsLbEo4KrT0uEdBuPgPaPGNYDIIQAAPQaGbSlKdCrC8UO\nxYw1JR7GPIM7I6T7BPi26i12KHaHEo8GMiQcqdCWpVtlwlHBGhOPChJHZwR2jEFI9wlwoQSENGOs\nthSa0hToVXlih1Ila008Kjh7BCKk61gEdhpOi4yRZk2nlkIrTwGrrWZBDJFZa+JRwc0/AqHdJsCv\n7UDqUW0klHjUE8/poC29fbeHgxU7nBpZc+JRQeLgjICO0QjtPoEWKSTNCsuUQVNyyypbJO9n7YlH\nBSdXHwRHjUZQl9G0SCFpVnSqfEPCwcjFDqVG1p54VHD1DkNYz6fhFzFQ7FBsHiUedcTzHJjydGjl\nKVYz5ro2bCHxqCBxcEJQl8fR4sEn4ejsLnY4hFgMz+mgKUkCU54OMRcLrQtbSTwqOHsEoGWv5+Df\nbrDYoRBiUSxTCnXxddELUNSFrSQeFbxadEd43xlU1KIBKPGoJZ7noVPmQitPBKdXiR1OndlS4lHB\n2d0fYb2eQ0D7R8QOhZBGxfM8dIosaEpu2VQDBmB7iUcFz5AotOo3E+7+EWKHQkij4lkdNPJEMOUZ\nsJUGjAq2lngAACSOCOo8EmE9nqK1heqBEo9a4PQqqIqugdUUiR1Kvdli4lGBbhiIPWG1cqhl162q\n6l1d2GriAQCQOCAocgRa9JgKJ1cvsaMhpEFsuQGjgk0mHnc5ufkirOc0BHQYColEInY4NoMSjxow\n5ZlQy25Y9cTx2rDlxAPA3RuGxxD20NPUwkBsEs8yRq2StsumE4+7HF29EfbQ0wjsNJxuGIhNYrVy\nqIv/tYl5HNWx5cSjgkdQJ7TqO4NWQ68lSjyqwOk1UBcnQK8uEDuURmHzicddzp7BaDPoNVqEkNgU\nRpEFjeymzbZKGrOHxKOCV4sHEPHwG1TOm9gMnuegKUkEU5YqdiiNwh4SDwMJAiNHILzPdDg4UjW9\n6lBtsEowylwocuPsJumwJzqlFKmHP0H2hZ/AsbZ/E0fsG8/poZJehrroql0kHfZGkf8vEvfMR2nW\nBbFDIaRGrE4JZd5pu0k67AuP4uRDSN73HjSluWIHY9Uo8TDCsQxU0ktQSy+B53Rih0OqxKMocT+S\n9y2CuiRT7GAIqRTLlEGRdxI6ZY7YoZBqsNpy3In7AllnN4HTU3JIrBOjyIIi94TND62ydxp5JpL3\nLYAs7YTYoVgtSjzu0qkKoMiNg05Jmaqt0MizkLx/EYqSDoodCiEmmPJMKPJOgdMpxA6F1FJxyhEk\n7VsAlSxd7FAIERj3mtr6XNPmgtNrkXl6PTLjN4DTa8UOx+o0+8SD53moZTehKjwPnqU/EFvDszpk\nn//B8AFn6aJMxGW4SbgCdfE1m1hYlJjSluYgZf97kN7aJ3YohECvlUORe5x6TW2ULDXOMDJDniV2\nKFalWScePMdCJb1E4yXtgCw1DqmHl0Cnpm5oIg6WKb87tCpb7FBIA/CcHjkX/0eNGURUjCILyrzT\nNrluGLlHU5qN5H2LUJxiDxPoG0ezTTw4loGy4Az0qjyxQyGNRClNQvK+RTRUgjQ5RpkDRd5JGlpl\nR2SpcUg98gn0mjKxQyHNCM/z0JTcMgytAid2OKQR8CyDrLPfIevsJvA8/T9tlokHp1NCmXfKZhfw\nIlXTqYpx+8AHkGecFTsU0kxoy9Khll6moVV2SFl4C8n7qUoNaRoVozC0pbfFDoVYQHHKEWScXNPs\ne1KbXeKh15YYJn3qlWKHQiyEY7VIP7EaBTd2ih0KsXMaeQo0sn/FDoNYEKMoRMrBD6AsTBI7FGLH\neBqF0SzIM87izrHPweo0YocimmaVeOiUeVDmx1M9/WaBR97l35B3zT4WOiPWRyO7Ba08UewwSBNg\nteW4feQTyDPPix0KsUOcXg1F/mkahdFMlOddMwzj1DbPobnNJvHQlqVBJb0I0Pi6ZqUgYRtyL/0q\ndhjEjvA8D3VRArRlNByiOeFZBuknVqEkPV7sUIgdYXUKKr3dDKmKUnD74EfQqWRih9LkmkXioSlJ\nhEZ2Q+wwiEgKb+5C9vkfwfO82KEQG8fzHNRFl8EoMsQOhYiB55Bxah31fJBGwelVUOafAc8232E3\nzZmmNAspBz6Atixf7FCalN0nHtrSNGhLU8QOg4isKOkAss5upIoSpN54joWq8AItMtrc8SwyTq5B\nafZlsSMhNozTayjpIGCUUqQc/ADqZlSN064TD0aRA00J9XQQA9ntWGSd3SR2GMQG8TwHZeF56NWF\nYodCrADP6ZF+/CuU5yaIHQqxQRyrhbLgDK3RQQAAek0pUo8sg7aseRQWsNvEQ6+W3q2DTcg9stux\nNOGc1AnP81BLr4DVFIkdCrEiPKdDWtxKKApuih0KsSGG6lVnaU4HMaHXliH16PJmsQiyXSYerFYO\nZeFF0OI7pDIFCdtQnHJU7DCIjdCU3IRORcOriDmeZZAW+xmV2iW1wnN6KAvOgWNoUUpijlEUIu3o\nCrCMffeE2V3iwemUUBacB/jmvUALqV7Wue9pjDapkbY0FUxZmthhECvG6TVIi1sJrYKG4ZGqVQzX\nZBn7b9Em9acuSceduC/Ac/Z7D2tXiYdh3OQ58JxW7FCIteM5ZJxYDWURlUQlldMp86ApoWE0pGas\nthx34r5o1ouCkeppZDfBaorFDoPYAEXBDWSd/V7sMCzGbhIPntNDVXCOViQntcaxWtyJ/YxaKokZ\nlimFquiK2GEQG6IpyUBm/AYq203MMIosMOV3xA6D2BBZ6jEU3tgldhgWYReJB8/zUEkvgmVKxQ6F\n2Bi9tgwZJ1aDY+23W5PUjaHn9ALAs2KHQmxMaeZZFPz7t9hhECui18qhLqbqZ6Tucq/8htKsi2KH\n0ejsIvHQlqZAr5aKHQaxUariVORe+lnsMIgV4HkOqsIL4Fm12KEQG5V/7S+7vFkgdcexWqgKLwC0\nfhSpD55Hxqmv7a7Mrs0nHnpNMbTyZLHDIDauKOkgStLjxQ6DiEwrTwKrLRE7DGLTeGScXgeNPFvs\nQIiIeJ6DSnqJFggkDcLpNcg4tQ48Zz898DadeHAsA5X0MgAaU0saLuvMd9CUUtnU5kqvkUFbmip2\nGMQOcDo17hz/ChzLiB0KEYmmhCaTk8ahKr6N/H+3ix1Go7HpxENddJVaE0ij4fQapJ/4CpyeqqI1\nNzynv7vgKDVikMahLctB3pU/xA6DiECnLgRTRpPJSeMp+HcHlNIUscNoFDabeDDlGdCrC8QOg9gZ\njTwLuZd/EzsM0sQ0JTepIh5pdNLEvVAUJoodBmlChkYMmkxOGhnPIuP0Orso2W2TiQenV0Eto/r6\nxDKKkg/SzUIzolMVginPEDsMYo94HpnxG6gXtRnRlNyk4hTEIpjyfORe+kXsMBrM5hIPnuehKrpG\nK5MTy+F5ZJ3ZCI7ViR0JsTCeZaAuviZ2GMSOMeX51IvaTOjVRdSIQSyqOOWIzVfNs7nEgylPB6sp\nEjsMYue0ZTkoSLCfyVykcmrZvzRPjFhcUdJBlOdfFzsMYkE8p4eKGjFIE8g6uxE6te2uW2dTiQen\nU0FTckvsMEgzUXhzJ9SydLHDIBbCKHOgU1IVM9IUeGTFf2sX47NJ5TQlt8DrVWKHQZoBvaYUORd+\nEDuMerOpxEMjT6TVhEmT4TkWmWe+A8/R4k/2huf00MhuiB0GaUYYpZRWNbdTek0xmPJ0scMgzYg8\n4yyUhUlih1EvNpN4sNpS6JQ5YodBmhm1LA3Ft2PFDoM0Mm1ZGniWJvySpiVN3AtGSUOF7QnP89SI\nQUSRc3mz2CHUi80kHjTEioglP2ErDZGwIxyrpYUCiSh4Voe8q7S2hz3RqfLAMrY73p7YLpU0GfKM\ns2KHUWc2kXjo1UXQa6Rih0GaKb26BNJbe8QOgzQSrTyFquIR0ZSknYRKRovL2QOe56AtodLrRDy5\nV34Hz9nW95nVJx48z0NTQmt2EHEV3twNvaZM7DBIA3E6FZW7JCLjkXvJNodIEFNMeQYtPEpExZTn\noyj5sNhh1InVJx7UjUmsAadTIz9hm0XOvW7dOnTu3BmdO3e2yPnJPRp5IgAqFkDEpci/jrKcy2KH\nQRqA5/SG3lNCRJafsA0sYzsV1aw68aBuTGJNilMOQ1uWL3YYpJ6oQAWxJrmXfqOKeTZMW5YKnqMC\nFUR8rLYcBdf/ETuMWrPqxIMpz6RuTGI1eI5F/r+0qKCtoiGbxJpoSrMgzzgjdhikHgwFKtLEDoMQ\ngS1VzLPaxIPn9NCWJosdBiEm5OmnoVOViB0GqSNDgQrbuCiT5oOKVtgmpuwOFaggVoVndZDe2id2\nGLVitYkHU55BdfaJ1eE5PaRJ+8UOg9SRtoxaJ4n1URWnQlFIw4ltCc+zVKCCWCVZ6jFwekbsMGrk\nJHYAVaEPNrFWxcmHEdp9Ehyd3ep0nFwuR15entnjUum9UtG3bpmvV+Ph4YGIiIi6B0oAAJxeDb26\nUOwwCKmU9NZeeIV0ETsMUks6ZS54zvpv7kjzwzJKlNw5hcBOw8QOpVpWmXjoNcU0t4NYLZZRQpYa\nh+Auj9fpuNjYWCxatKjafSZMmGD2WL9+/bB5M5XfrC+mPBMAL3YYhFSqNOsCtOWFcPUOETsUUgva\nMlqDhVivouSDVp94WOVQK8ONAiHWS5q4FzxPFWmsHc9zYBR0PSFWjOdQlGgbY7ObO71GBo7K+xMr\nppbdgbIwSewwqmV1PR48p4NOlSt2GIRUiykvQGnWRfi16VfrYyZNmoRJkyaZPb5u3TqsX78eAJCU\nZN0XDFujV+WDZzVih0FItYpTj6FFj6fg6OIhdiikGgz1dhAbUJR0EJ4h1rsumNX1eDCKHIBakokN\nkKUeEzsEUgOaK0ZsAadTQ5YaJ3YYpBqcXg2dynyOHiHWRp55Fjq1XOwwqmSFiQfdKBDbUJZzFTo1\ndbtbK1anoBK6xGaUpJ8WOwRSDZorRmwFz+lRnHJU7DCqZFWJB6uVg2PKxA6DkNrhWZTcOSl2FKQK\n1NtBbImqKAVaBVVfs1Y0BJzYkuKUI+A5VuwwKmVViQdNKie2puTOKbFDIJXgeRY6RZbYYRBSJ7SS\nuXVimXJwOoXYYRBSazpVMRQFN8QOo1JWk3jwnB6MMkfsMAipE7UsDdoyGvdrbfTqIvCcTuwwCKkT\neXq82CGQStDcDmKLSjPPix1Cpawm8dCp8gFeL3YYhNRZQ8dmz549G0lJSVTRqhHpVflih0BInall\nd6ghwwrplDTMitie0qwL4Hnrm5dkNeV0aWVh+3P9Tjn+Op6PjEIN3F0dMCDKD08PbQE3F0dhn8RM\nBbYcy0dangqe7o7oG+mLJ4e0gI9HzX+ahSVa/HIkDzczDF3gvTr5YPrwlvDxvHeshmGxYVcWrtwu\nQ4sAV7z0eDi6tPEyOc+hS0XYe1aK1a91gYODpM7vU555Di0enFLn44hl8DwPnbpA7DAIqZeS9Hi0\neHCy2GGQu1idApyuXOwwCKkznboEqqIUeAZHih2KCavp8dBrisUOgTSi6+kKLPs9DXqOx7RhYXj0\nAX8cuVyMFb+ngbubgd9IV+CT39KQJ9NiwsOhGNknCOcSS/HRz7ehUFff+1Wu0mPpr6m4naPE+EEh\nGDMgGJeSS7Hs91To2XvlmHecKsS/d8oxdWgYgn1dsPKvdCg19yZc6fQc/jlViMmPhNYr6QAATUmm\nVZeua25YRg6e1YodBiH1Is+g4VbWRKekHihiu0qzrG+4lVUkHixTTot82Zlfj+QiyMcFHz/fESP7\nBGHasJZ4fnhLJGWrcC3V0Hr008EcOEiApS90xORHQjHx4VB89HwHFJQw2HG6+h6wveekKC7T4f3n\nOmD8oBBMGhyKuZPbIqNAg+PXSoT9ztyUY0TvIIwZEIzZE9pAw3C4cvte5bQjV4rh4uyAwd39G/Bu\neZTnJTTgeNKY9Crq7SC2SyPPgrac/oatBVWzIrasLOeK2CGYsYrEg2rt2xdGz8HHwwkxPQPg4nzv\nT6xrhGGIU2ahBoVyBllSDR55wB8tAlyFfcKD3NA70gfHE2TVvkb8DTm6RnihVZCb8NiD7b3RMtAV\n8Tfv9T7IynUI8XMBALi7OsLHwxHFZTohzp3xDevtqFCee61Bx5PGo1dLxQ6BkAZRFNwUOwQCgNNr\nqMQ/sWkaeRYYVfX3U02NEg/S6FycHPDetPaYODjU5PH0fDUAIMjHGbJyw81/mxB3s+Nb+LugXMWi\nqJSp9PwKtR4Fcgbtw8yPbdfCHal5KmHb28MJKq1haBXH81BpOfh4GOaYHL5UDHcXRzzc3a8e79JU\neV6CVU7iam44lgHL0LA3YtsaM/FYt24dOnfujM6dOzfaOZsLvda6btgIqY/y3Ktih2BC9MSD53mw\nNL/DrknlDOKuyfC/QzloHeyGvl184Xa3J0TNmC9wU642PCZXVj7PoyJpCfB2NnvOz8sZai0H1d15\nHFFtPBF3TYZsqQZ7z0mhZzlEtfECo+Ow60whpjwSCgdJw3o7AECvKYW6hBasExtLjRjEDigLb4kd\nAgHAaijxILbP2kZkiJ54cEwp1du3Ywq1Hm+uv4Vvd2dBp+cxY2Q4XJwc0CrYFe6uDjifWGrSU8Do\nOSTcnQOi03OVnlPDGB43HsZVwcXJkERodIZ9nh7aAnqWxzsbk/Db0Tw8G9MSLQJccfBiEbzcHDGw\nW8N7OyqU51nXh7s5omFWxB4wikIwSmqQExtLPR7EDpTnXxc7BBOil9OlYVb27z8T20DP8th/oQjL\nfkvFfyZFYECUH57oH4xtJwqw7p9MTHg4BBwH/BmXJyQNjlXMu+Du5inV9VNUHBri74pVr3ZGZqEG\nAd7O8PNyhoZhseuMFDMfD4eDRIITCTLsOF0IRsdhaI8ATH60fr0gysJEoNv4Oh9HGg8NjSD2QlFw\nEwHtHxE7jGaL5/RgaX4HsQOsthyMsggunkFihwLAGhIPNSUe9szL3QmDuhkqRg2I8sO8jUn45XAu\nBkT5YfIjoVBpWOy/UITTNwzj8nt38sH4QSH4PTYPXu6OlZ7T3cXQ08HozedUVDzm5nKvN8TJ0QHt\nwzyE7YMXi+Hj6YQBUb7IkmqwYVcWZjwejlB/F3y9IxMB3s6I6RVY5/eqlt2p8zGk8fAcC06nFDsM\nQhqFsvAWJR4iYrVyADRvj9gHdUkGJR4AwPMctVA2Iy7ODujVyQf7LxShTKWHj4cTXngsHOMHhSBf\npkWgjwuC/Vzwx7E8OEiAIF+XSs9T8bhcYT5Er6RcB083R5NFCo1pGBa7zxZi1qhWkEgkOHtTjlB/\nF4zsY/hADojyRfxNeb0SD51KBr2mDE5uPnU+ljQcp1OAbhSIvVAU1G2eh1wuR16e+ZoTUum94Ye3\nbpmf08PDAxEREXUP0M7RvQmxJ2pZOnxb9RY7DAAiJx4cUwbw5pOLiW3LKdLg0y1pGDswRLihr6Bm\nWEgAODtKcPp6Cfy8nNGtrRf8vO5NFL+VqUT7MA+4OFU+BcnTzREhfi64c7dKlrH0AnWl1a4q7D9f\nBH8vZ/Tv4gsAKFXqTVY693Z3wq3M+reaq2R34NOyR72PJ/XH6mhYBLEf2rIcsIwKji4eNe8MIDY2\nFosWLap2nwkTJpg91q9fP2zevLleMdozmlhO7Ik1Fb8RNfFgdQoxX55YSIsAV6i0HI5cLkZMzwA4\nORoSCKmcwbnEUkRFeMLd1RF7z0uh1fFY+X+RwnyOyyllSMxS4vVxrat9jf5dfLHvvBQ5RRqE313L\nIyGtHLnFWowdEFzpMSotiz3npHj5CUNvBwD4eTnhcooOPM9DIpGgUM5UWi2rttSUeIiGZcrFDoE0\nsYwCNRb9kIKJD4fgySEthMff+zEZqbnmDRP9u/ji7Sltqz3n1dQy7DhViLQ8FSQSCTqFe2Dq0BaI\nbOUp7KNhWGzYlYUrt8vQIsAVLz0eji5tvEzOc+hSEfaelWL1a13qvU6QpjQbnsGR9TqWNAyV5Sb2\nRF2SLnYIAnF7PCjxsEuODhLMGBmO9Tsz8fEvqXjkAX+Uq/Q4eLEYEgAzRoYDAMYPDMGq7Rn4/I87\n6NfFF1I5g73npOjR3huPGK0kXlCiRXK2CpGtPBDqb1hscNzAEJz4twSf/JaKMf1DoNMbyuO2D3PH\nIw9Uvgr5vnNSBPo4o19nX+Gxfl18se1EATbuyUaIvwvOJ5Vi5uPh9X7vNM9DPBz1eDQrLMdjw+4s\nsJzp8Dqe55FTpEXfzj7o38W0al2Qb/WNCjczFPhsyx20CnbD09FhYDkehy4WY8nmVCyZ3hEdww29\nDztOFeLfO+WYOjQMNzMUWPlXOta9GQVPN8MQT52ewz+nCvF0dIsGLU6qkWfVOvGYNGkSJk2aZPb4\nunXrsH79egBAUlJSvR/5Mc8AACAASURBVGNpTjhW2+BqmylpuXhh9lq8+PQwvPz8SOHxF2evxc3k\nLLP9hw1+AJ998EKl58rNl2HCCyuqfb1vV76K3j06gmU5rFz/Nw7EXkZQoA/efOkJRD/8gMm+8Rdu\n4YPPfsfOX96Dl2fVIwSI/WDKC8DqNHB0dqt5ZwujHg9iEY884A8nRwl2xhfil8O5cHV2QPd2Xnh6\naBhaBhqSh/5RfnhrIi/s4+vphLEDgzHhYdOVxG9lKvHt7iy8Nra1kHj4eDrh4+kd8POhXPx1PB+u\nzg7o29kXz8W0hHMlQ7RUGhb7zhfhtbGthd4OwLCA4StjWmP7yXxoU3iMHRCM6IcC6v2+1bL0eh9L\nGoZ6PJqXf04XIluqMXtcKmegYTj0ifStshGiKj8fykGgjzOWz+wE17vluh99wB9vf5eEP+Ly8P6z\nHQAAZ27KMaJ3EMYMCEZMzwC89NUNXLldhsF3G0yOXCmGi7ODsF1fGrn5DSqpWmVzWIx16NABLi6V\nzx001tBGUT3LYulXf0KvNx1KzvM80rMKMWRQdwwbbJoMtAip+m/F388TS959xuxxrVaHLzf8A38/\nL3Rq3xIAsOvgeew5fAEvTRuB7NwivLd8M/76/l20Dr837HnTL4cwbdKjlHQ0Kzw0JRnwDBF/IVHq\n8SAWM7CrHwZ2rX6djIe7+ePhbtV/OQ/tEYChPcyTgZaBblj0TPtaxeLh5ogf53Wv9LnohwIalGwY\n0yrywXMsJA6VT24nlsGzDHjW/CaU2KfMQjX+PlWASYND8dfxfJPnsoq0AIDwINc6nVOh1iOjQIMx\nA4KFpAMwLEraNcITCWn3vq9k5TqE+BluYN1dHeHj4YjiMkMLOaPnsDO+EM8Oa9mg3g4A0JTlNuj4\n5qayOSzGjh49ilatWtV4nobem/z8RyzSMvLNHs8tkEGl1mLIwG4YFVP7ib7ubq6V7r/q252GJGfB\nNPh4G3rjDh+/iuiHH8DMacPBcRzOXU7GkRPXMOOZGADAybM3kJ1bhKkTqGJac6MuSbeKxEO0BQR5\nnqfSl8T+8Dx06hKxo2h2WB31djQXLMfj291ZeKCdV6U9GhW9IBVzvzRM7QqYeLg6YvXrXTC6v/kc\nsXIVCwejb0tvDyeotIbzcjwPlZaDj4ehseHwpWK4uzji4e4NX5yUURQ0+Byk7tgG3JvcvpOHH7cc\nwcxpI8yeS0s3/P9s2yak3uc3fp2/dp3CEyP6oucD9xrgpEWlaBlqaEhzcHBAixB/FBbdm6/y/eZD\nmDZ5CLw8xR9yQ5qWtUwwF63Hg2e1ACpfmZoQW2ZNC/U0FzTMqvnYGV+IPJkW855sC7aSr5CsQg3c\nXRzwy+FcnLkph4bhEOrngqnRLartXXVwkCAswLyXJKNAjaQsJXp08BYei2rjibhrMvTq6IMrqWXQ\nsxyi2niB0Rnmmk0f3rJei5Dej1FIwfMcJBLR2ghtSmPNYeH1qnodVzHEql/PThg1rBc2/nzA5PmK\nXpC2rUMBAGqNFu5udeuZq/Dt//bD1cUZr73wuMnjfr6eUKju9f6Wlavg52MojBAXfx25BSWYOmFw\nvV6T2DZGUSh2CABETDw41rziCCH2QKekRTGbGlfPGwViW7KkGmw/WYCZI8MR6OOCQjljvk+RBmqG\ng0rD4o1xbaDUsNh/QYqvd2SCZXk8+mDth1VqGBbf7MoEAIwfdK+V+umhLbDs9zS8szEJEgnw/PCW\naBHgit1nCuHl5oiB3Rre2wEYVs/WKYvh4lV5pT5iGZy+fvcnv/x5DFk5RfjioxfBVpIVp2Xkw9PD\nFWs27cKR49egUmsRHhaI1158HI8N7Vnr10lJy8XJszfx7OQhCAo0XTeq5wMdsOvgeYx5rC9ycouR\nkS1F356dwPM8vt98CM9NGQJPD+rtaI70WutooBOvx6OeH2xCrB2jKhY7hOangRVoiPXjOB7f7s5E\nl9ae1S7wObxnADgeJmsIPdzND/M2JuHXo3kY3N2/VnMvtDoOK/9MR0aBBhMGhaBrxL1yuSH+rlj1\namdkFmoQ4O0MPy9naBgWu85IMfPxcDhIJDiRIMOO04VgdByG9gjA5EdD69ULwqgalnjMnj0bs2fP\nrvfxzVF9GjJS0/Pxw++HMf/1iQgN9kNuvvk6IGkZBVCqtFAo1Pho/tNQKNT4459TeP/T36DXcxg9\nvHbzPrbvOQNHBwc8Nf5hs+eenTwE5y4n4cXZawEAz0x6FL0e7ICjJ69BWlyKp8ZTb0dzpddYR+VH\n8Xo8KPEgdop6PJpeQ0tfEuu360whMgo0WPJCR5Sp9AAApcbwX62eQ5lKDy93R4zobT7M0cXZAY88\n4I9tJwuQXaRBm5Dqq/koNSw+/yMNSdkqRPcIwNPRLcz2cXJ0QPuwe4v7HbxYDB9PJwyI8kWWVIMN\nu7Iw4/FwhPq74OsdmQjwdq42YaoKq6UiLE2J5znwnHlPWnVYlsMnX/2JHt3aYcLoAVXuN2FUf3Ac\njyfH3UsYRgztiWde+RJf/3cPRkb3hKNj9cPqNFodDsRexiMDuyIs1Lz3ztfHAz+ueQup6fnw9nJD\nWGgAeJ7Hf389jOemDIWHuyvOXUrG2u93Q16qRPTgB/DW/42Bq0v9168itsFariU01IqQRsYoqcej\nqVHi8f/t3XeYVOXZP/Dv6dP77myHLbCUXao06R0MGtBg16CxtzQ1r6YYTfLL6xvz5o2aYqLG3tBY\nsAt2LIAiakCkCCwsbK/TZ875/TGwsO7C7s7OzDPl/lwXFzA7e+a74pw593me534y35ZdHQhHNPz8\n/h09vrbmwwas+bABd10zsqvb1LdZjNGPO3/wxGsL2zwh/L/HdmNPnR/zxztw6SlF3Vpw98YfjGDN\nR/W4ZGn0uR9tbYXbLneNukwdacUHW1tjKzxCNI0wmWI5lzzy9NvY8U0t/vnHq9HaFl2Y3tEZvcbx\nB0JobfPAYtbjjGUn9/henSJh6fwJuPeRN/DNvjpUlOaf8LU+2bITXl8A82cef6NaQeAxvLyg6+9r\n39mC5pYOrDztZLS2eXDDrf/C2StmYdpJlbj1jidgNOhw1UVLB/xzk/SiRgJQw0HwYt8tpROJ4eJy\nulAgmSmSIvMoswkVHpnvgoUF6PR171DV5gnj7uf3YWa1HbOq7RB5Dj/9+1eYNsqG783qPkpR2xRt\ns3u8wgQAfIFIV9HxnSkuXLiwf5uJvrKhEXaThCkjrF25jhQ6AGDWi9i2L7ZOSZEgFR5JpfavC9qx\nPtz0FUKhCFZdd2ePrz2y+m08svptPPfgzSjI6319kcMWncbn9QX6fK0PNmyDJAmYPnlkv7Kpqop7\nH30DF6ycC71Owbp3P4cG4LILF0EUBCxfOgXPv7qBCo8sEQ60QxbZNr9huI+H1vdTCElDamRgw/Rk\n8KjwyHzHTms64sjicrdNxpiyaNcpb0DFm5ubccqUHBiUaIvbxrYg3tnSjNFDTLCZjj+l5L5XD2BP\nnR9LJ/e/6PAGInjx4wZc9p2jIyM2k4hPd4SgaRo4jkN9axAOc2xTWWjEI7k0LTzg7/nhZaeho6P7\nv1Nzayd+dftjWDp/Ir6zYCJEUcBZl/4BC2ePxSXnL+r23D01DQBw3MLkWFu27sGo4cX9bof7+tuf\noa3dg++dGh1taWrpgMWkhyhE3xtWixGNTW39OhZJf+FAJ/Oum+wKD40KD5KZ1DAVHslGhQc54uIl\nhbhj9R788oGdmD/eAV9AxWubGsHzHC5eerSYqGsJ4Ov9XgwvMsBtV7C/0Y/3vmiBQeEx1K3He1/0\n3I+nt31DXv64AU6LhMmV1q7HJo+w4ul363DPi/uRa5exYXsbLl7Sv0Lm21Qa8UgqTR144TFyWM9N\nCY8sLi/Md2DyhOEAAI/Xj+de+Rhnr5jVVTjU1bfipTc2YuLYcrgclh7HOVY4HME3++qwfOnx15Ec\nKxJRcd+jb+CCM+dCp4uO9LkcFrS2e+D1BWDQK6g91Iwcp7WPI5FMEQmwX2DObqoV7eFBMpQa6Xu4\nnMSPpmlUeJAukyqtuH7lUDy3vh6PrTsIWeIxaogR58zN79pUEAC27fPgb2tqcOWpxXDbFWzbG114\n6Q2o+Nuaml6P/e3Cw+uP4OUNjbjy1OJu60BKcvW4fFkxnnnvEAI7NJw6NQdzx/W/je+xIkHaaDep\ntIFPteqv669egRtvfQCX/PguLF86FR5fAKtfWA+B53HjNad3Pe/AwSZ8vnUPxowaisL8o+uCDtW3\nIBSKIC+3f+2aX33zU3R6/d3Wlkw9qRICz+NXtz+GCWPK8cyLH3Rb7E4yW9jPfio4jXgQEmdqmAqP\npIphagTJDLk2GU/+ouci20mVVkyqPPFd3DljHZgz9mgxsHCiq9eOWCdi0Am4//qqXr82d5wj5mLj\nWDTVKrliGfHorzknV+EPt6zCA0+sw933vQRFkTBhTDmuvuiUbruZb/5iN27745P41U/P6lZ4tLVH\n/1/ozz4ckYiK+x9biwtXzoVOOTrNz2k3479/eSH+9PcX8NkXu7Fw9jhcfO6COP6UJJWFU2CzXU7T\n2FQAnrqPEfalxi6K2WDfhudo0XOS8KKCMec8zDpG1lDDXnTsX8c6RtYI+QPYv/Ep1jGyhrlgPMrn\n38Q6RtYIdu6Hr3Ez6xhZo6P+ABq3v8k6RtYonHwxciqX9P3EBKIRD0LijBaXp5dV1/4ZW7/uObVm\n3oxq/Pcvv9/j8R27a/H9a/+MVWfPw2UXLO7z+Nt27Mdf7nsJn2/dA0HgMb66DD+89FQMKT56h9Pr\nC+C2O57A+o1fobjAhRuvOR3jqkq7HefpNR/g8X+/i6fuvbHPXv8kc3C8wDpCVollcTkZjIFvqhlP\nN9//NXbV9tzeYcoIK37yvaE9Ht9b58NN9+3Aium5WDm75/4+3/blNx146p1D2Fvvh17hMXWkDWfP\nyYNOPvq+9gcj+OsLNdi8sx15DgU/WFKIESWmbsd5/ZNGvPRRA/505Yh+bYB6PDzPtpUuwHSNBxUe\nyeQon4aGra+zjpEl2J5Isw4X+2lM0zTsqanH7JOrMG9Gdbev5eX2XEgcjkRw2x+fRDjcv3nge2vq\nceUNf4NOkfCD8xYCAB575h1c+tO/4NG//aRrUecDj6/Dhs07cMX3l+DTz3fh+lvux7MP3gyzKbrR\nXTAYxgNPrMNVF53CvOgQZAkcL9G6miThBdrYLZk4UFGfTEFPzyYOyaJpGg40BjCp0oIpI7qvm3FZ\ne77vIqqGv66pQUTt3/Xrl3s68dvHdqMsX49z5+WjqT2Ilzc0YnetF7/+fgX4w+vCnn2/Hl9804Gz\n5uRj695O/M9Te3DXNSNh1EWLk1BYxXPv1+PsuXmDKjoAgEuB8wmNeGQJk9ONUMlktO7bwDpKxuMF\n9ncUsgnHxX5HuLauGV5fALOnjcbS+RP7fP6DT7yJ3XsP9fv4jz/7Hry+AO654ypUVkS7Gk0aV4FV\n192Jx//9Lq679FQAwBvvbsEZy07GeWfMxvKlU7Bw5S1Yv2EblsybAAB49pWPoNPJWDx3fAw/ZXzx\nPA9jzjB01m1lHSUrpMKFQlYZxPmEDIymafA09NwQNFkaWoPwB1WcNNzaa8e6b3tufT32N/j7ffxH\n1tbCZZHx6wsqIEvRgtZpkXH/qwewZVcHxldEu5h9uLUVCye6sGxqDuaPd+AHf/wPNu9sx4yqaKa1\nm5sgS3zX3wcjFW5kMCztqfBINlvxcBic5axjZDxeVFhHyCqDmYqye08dAHRb2Hk8O785iPsfX4uL\nz13Y7+MfONQEm9XYVXQAwKjKElgtBuz85mgB09DY1tXD32jQwWYxor4x2ls/EAzhoSffxCXnLWQ+\n2nGE0TWEdYSswfEMt9vKQjS1LXnCgQDTtac1jdFGMIWuvj+z99X78O/363D6DHe/jh0Mq7AYRMwf\n7+gqOgBg1BDT4eMdLWCaO0JdG5vqFQEWg4Cm9lDXcZ7/oB5nzHQPerQDSI0bGVR4ZBGO55AzfAok\ng7PvJ5OY0YgHAzHepTwyejG0OPph4vP33pHsyBSryeOHYenhUYj+KClwob3Di5bWzq7H2tq96Oz0\nw+Uwdz1msxrR6YnOM1ZVFZ0eH2xWIwDg3y9+CKNBh0Vzxg3sh0sgxWIHTSlMDjqfJBc3iKmbZGD8\n7U1MX//I6MWRNtv+YO9TaCOqhr+tqUF1qalfIyMAIIs8bj63DCu+VajsORQ9z7ssRwsAs0GENxB9\nbVXT4A2osBiin2lvfNIEvSxgelX/Wij3JRVGPNi9w2g4kwleFOCumo/aT5+ntq8JQiMeycdxIrQY\n+u/v3nsIRoOC//vHC1j7zhZ4fQEU5jtx5aolWDTn6LSmh558CzUHGvGHW1YhEun/HkQXnDkX7328\nFb/4/aP40eWnguM4/PmfayBKAs5aPrPreeOry/Di6xsxffJIfLjxK4TCEYyvKoM/EMJDq9/Cjy47\nDTyfGqMdACCIAvSOIfA172EdJeNxAl0IJxWNeCSNt3Ev09evqfdDL/N46I1afLi1Ff6gCrdNxllz\n8zB99NEC4/kP6nGwOYDrVw7FAE7/3TS0BvGfvZ14eG0tinN0mDTiaLvvkSVGvL2lGRMqLNi8qx3h\niIqRJSYEQype+LAeFy4o6FoPMlgcz77wYPZJxgt0ccaKpCjIHb0EdMcyMTgqPJIvxouF3Xvr4PEG\n0Nnpwy03nI1f/uRMGPQKfvH7R/Hy2k8AALv2HMJ9j72BH166DO6cgd11ysu1Y9XZ8/HpF7tw3pX/\ni3Ov+CM2bd6J3/zXed2mX12xaglCoQjOvuwO3HXfS7jukmUoLnTh6RfWw2IyYOHsnntVsGbMoWmb\nyZAKXWiyyWDWjJH+i6gqvM3fMM1Q0+iHL6jC64/g6tNKcMWyYugUHnc+uw/vfh7deb6mwY9n3qvD\nBfML4LTE9l7s9IVxzd3b8Lc1NQiFNVy0uBCyePTy++w5eQhHNPz0nu14dN1BnDe/AHkOBa9taoRJ\nJ2Da6PiMdgCDH/G46667UFlZicrKypiPwexWCi/oWb00AaC3WOAcPgdNX7/FOkrGoakRycdxQkyT\nN5cvnQJV1brt3Ltwznicc/kduPPeF7F47nj85o9PYuzoUiw/ZeqAj//3B1/F/Y+txYQxZVi+dCpU\nVcMzL36Am3/3MG7/5YWYOXU0AKAwz4kn/3kDdu45hBynBS6HBT5/AA+vfgvXX70CPM/j5bWf4F+P\nr0UgGMKyRZNwyXkLmY6C6K05zF47m6TCnOxsQlOtkiPY2QloMQ4fxMmC8Q6oGrD4pKMbh04fbcP1\n92zHI+sOYkaVHX9bsw8jio2YP2FwU9R/uKIE4YiGVzY24reP7sIPTx+CqSOjBUWuXcH/XlGJffV+\nOMwSbCYJ/mAEL3zYgIuXFILnOLz7eTOeXV+PYEjFnLEOnDHLHdMoCJcC1yfMPrU4se+dN0limXML\nYSlMvTup6U7Umft+EomrWO9SnrHs5G5FBwDoFAlL509Ac0sHHnhiHXZ8U4trLj4FrW0etLZ50NEZ\nnaPrD4TQ2uaBqvb+4dnR6cMjq9/GyOFF+Mt/X4El8ybglAUTcc8dV6G0xI3f/d/TCAaP7hkgSSJG\nDiuCyxHtdPLU8+tht5mwYNZY7NpzCLfe8QTO/O4M3PTDlXjquffxwqtsO9SJigTZ1PeifDI4kmHw\nnWzIANBUq6Twtx5kHQELJ7q6FR0AIEs8Zlbb0eYJ49n19dhb58c58/LR7g2j3RuGxx89ZwfCKtq9\nYaj96NBq0os4ebQds8Y4cOuFFcixynjojdpuzxEFHmX5BthM0RsNr21qgsUoYupIK2oa/PjrCzVY\nMsmFS79ThFc2NuKtzc0x/cy8yL7wYDjiQYUHaxzHwT60GkFPM/ytPTdQI7GRDa6+n0TiK86dfxy2\naOeR+x9fi1AoglXX3dnjOY+sfhuPrH4bzz14c1dHqmPVHGhAMBTGojnju3WjEkUBS+aNx133voQ9\nNfUYXl7Q43u9vgAefeYd/Oza08FxHNa9twVF+c6uImn+rLF4/Z3PYhqFiSdT7nA0d9YzzZDpZCOd\nT5KJ42VEpyFTA5xE8jTsZB3huCzG6OfJv9+vQzii4ef392z5u+bDBqz5sAF3XTOyqyNVf8gSjwnD\nLHhlYyPavWFYDD0/u/zBCNZ8VI9LlhaB4zh8tLUVbrvcVSRNHWnFB1tbYxqFkfQ9P6uSjVnhQSMe\nqYHnOeSOmInaz15E2N/OOk5GkOhCIel4QYeBLi2vb2zDtTf9Awtnj8Ul5y/q9rU9NQ0AgL/efgUC\nge4b5TW3duJXtz+GpfMn4jsLJsLp6H2ES5Kip9feRkTUwxtQace5W/bkc+/D5bBg3owx0dds6YTd\ndnQnW6vZgM1N7N+venvfO/eSwaHzSXJxHAde1EMNe1lHyVjhQBAhb2x37OOluT2E3z22C9NG2fC9\nWd3PY7VN0cY7vzy/HMFQ9/N3myeMu5/fh5nVdsyqtsNm6v0y+kCjH79/fDdOnZbbY1TFF4yAAyAJ\nvU+VemVDI+wmCVMOL0Bv84S7iiEAMOtFbNvnGdDPCwCiYqERj8Fqae3EX//1Ct776D8IBEOorCjE\n1Rd/B9Uje+8x/7s/rUZNbQP+/oer+nX8A4ea8Od/rMGnW3YBAKZPGYUfXXZqtwsAry+A2+54Aus3\nfoXiAhduvOZ0jKsq7Xacp9d8gMf//S6euvfGlOnDfyxBEuCuWoTaT5+Dpob7/gZyQnSHMvl4yTjg\n78l1WeHx+vHcKx/j7BWzYDJGz0l19a146Y2NmDi2HGNHl/b4vtpD0Q/MwnwHJk8Yftzjlw3JQ47T\nghdf34QzvzsDihwdQg8EQ3h57SbYrEaUD+154d7p8ePRZ97Bz3+0EtzhObwuhxnvf7wVmqaB4zjU\n1jV37XrOkqTXQVBMiAQ6+34yiQmdT5KPFw1UeCSQv4PdbuVHOCwSvAEVb25uxilTcmBQolPsGtuC\neGdLM0YPMWFEcc/PlfrWIADAbZMxpuz406rzHAq8ARVrP23C/PEOiIev/Rpag/j4qzaMHGKEXuk5\nrc8biODFjxtw2XeKus7/NpOIT3eEus7/9a1BOMwDX/slmfq/Lq+1tRUHD/acDtfQ0ND1523btvX4\nusFgwJAhJ97nid2Ih6BgMMOZHq8fl1//VzQ0teOc02fCYjJg9QvrcdXP/o4H7rwO5UPzuz3/+Vc/\nxvOvfowJY8r6dfzWdg+uuvHvCIUiuODMuYhEVDzy9NvY+c1BPHDndV13Mx94fB02bN6BK76/BJ9+\nvgvX33I/nn3wZphN0cXzwWAYDzyxDldddEpKFh1HyHo9ckctRt2XL7GOkvboDmXy8aIhpu+7/uoV\nuPHWB3DJj+/C8qVT4fEFsPqF9RB4Hjdec/qAjnXgYBM+37oHY0YNRWG+E4LA4/qrV+Cm3z6Ei667\nE6ctnoyIqmLNaxuwp6YBt954DkSx5wfPE8++C3eODXOmV3U9Nmd6Nf75yBv47Z9WozDPgbfWf4Eb\nrh5YvkTgOA4m9wi07dvEOkpGEhULNatgINbzCekfb9M+1hEAABcvKcQdq/fglw/sxPzxDvgCKl7b\n1Aie53Dx0sK+D3CMupYAvt7vxfAiA9x2BQLP4aLFhbj7+X349UO7MLPajg5vGK9tagIH4KLFvR//\n5Y8b4LRImFx59MbS5BFWPP1uHe55cT9y7TI2bG/DxUsGlg8AZGP/p2a9+eabuOmmm074nOXLl/d4\nbPLkyXj44YdP+H3sFpdz/OHiIzYPPvkW9u5vwB9vuwiXXbAYZ6+YiXv+GB3JeOipt7ueF4mouPeR\n1/H//u/pAR3/sWfeRX1DG/5y++X4/lnzcPG5C/Dfv7gQO3bX4qU3jn7IvvHuFpyx7GScd8Zs3Paz\nc+H1B7F+w9Eq8NlXPoJOJ2Px3PG9vUxKMdgdcJRN7/uJ5IRk2qAx6WK9UJhzchX+cMsq6HUy7r7v\nJTz2zDuoHjkE9/7pWpSW9G+H2iM2f7Ebt/zP49j8xe6ux+ZOr8Zdv78MFrMef/3Xy7jnwVdhNhnw\nf7/5AZb0shFhp8eHx599D5desKjrbhcAVJTm4xc/XolNn+3Ak8+9h/O/NwenLZ4U088cbwbHwD8A\nSf/QTQw2YhlBJf2jqhq8jbtYxwAATKq04vqVQ6GTeDy27iBe+rgBw4sM+M2qChS5BjYrZ9s+D+5+\nfl+3KVAzq+340elDEI5oeOiNWry8oREjhxjxu4uHoyS3Z2dXrz+Clzc0YuWsvG7n/5JcPS5fVowv\n93TglQ2NOHVqDuaOG/haDdmYGs1AOO14k4yToLP2PUSCrQP+Pk3TcOr5v8Xw8gL8720/6Pa1p9es\nhygIWH7KVASCIVx03Z3Y+c1BnLJgIjZ9thNFBc5+TbVaser3KHA78JfbL+/2+Mof3I4clxV/vf0K\nAMCMZf+Fn161HCsOL/I85ZzbcPaKmbjwzLkIBEM4fdXvce0ly3q9yEhFmqahYccmeOq+Yh0lLXG8\niDHnPtrtpEEST40E0FHzOusYWUlVVez76ClokVDfTyYDYi2ejNI517OOkXVCnlp4Gz5hHSMjBTo7\nUbv5WdYxslLRlMvgGr5gUMe46667cPfddwMAtm/fHtMxmDas5kQdEBz499XWNaO+sQ0XrJwDIHqx\n7PMHYdAr+N6pR+/YB4NheLx+/O7m87Fw9jh898Lf9ev47R1eHDjYhHkzqnt8rbKiqNuIhs1qRKcn\n2l5TVVV0enywWaN3S/794ocwGnRYNGfcwH9IRjiOg7NiIkLeFgQ76ljHSTuKJZ+KjgHqbZ7oscrL\nyyHLJ55uwgsKOF6CptLFb7LxPA9jznB0HvoP6ygZh9Z3sEFTrRLH10bXFazorD07KLLAtPAQJBNi\nWcpcc6ARAGC3mXDnP9fg2Zc/hsfrR1G+Ez++4rSuTbmMBgXP/Ou/IAoD68vd0NQGILr49NtcDjM8\nXj86PT6YjHqMLi4B/gAAH+xJREFUry7Di69vxPTJI/Hhxq8QCkcwvqoM/kAID61+Cz+67DSmm3zF\nQuB5uEfNRe2nLyASogV2A6F39FyMTE6st3mix1q3bh2Kior6PA4vmREJsO2Ukq0MriFUeCSA3jGU\ndYSsRFOtEsfTkBrTrLKRYkmNwoPpFbGgxNZP+MgGXvc8+BrWb9iGn175Xfz6hnOg08m44dYHsOHT\nrwFE78QNtOgAAI832kpNUXreZVWUaCcBnz86VHPFqiUIhSI4+7I7cNd9L+G6S5ahuNCFp19YD4vJ\ngIWz03ODPlGW4K5aAnDpVTSxZnD0r3kBiT9Boo0bWdGZbYg2CyHxZHBVsI6QlTheAkd7jcVdOBSm\nmRSMCLIRkt7GOgYAxiMeohLbjqyhULRjf4fHh6fv+xks5uiw6Mypo7Bi1e/xl3+9fMI2l305suzl\nRDNmjkynKcxz4sl/3oCdew4hx2mBy2GBzx/Aw6vfwvVXrwDP83h57Sf41+NrEQiGsGzRJFxy3sK0\nGAVRTEbkjFiAhm00d76/6A7lwMU6T/TbeJkKD1YEUYDeMRS+5m9YR8kYvKRPmTuU2UhQ7Ah72e+u\nnUkCHQNf00viQ2crYR2hC9OrX06QwUumvp/4LXpddCRi7vTqrqIDAMwmPWZNHYWvdhyA1xeIOZdB\nH+229e2Nw459zGg42pFLkkSMHFYEl8MCAHjq+fWw20xYMGssdu05hFvveAJnfncGbvrhSjz13Pt4\n4dUNMWdLNpPLDVtJanTPSX0cTbViSJAtrCNkNVNuOesIGcXgKANHI87MxHpjlByfr3k/6whZy+Qe\nyTpCF+ZntVimW+W4ohcYx27kd4TdZoKmaYMqPPJyoyecxuaOHl9rbG6H2aSHXtd7K2CvL4BHn3mn\nqx3muve2oCjfiZWnTce0kyoxf9ZYvP7OZzFnY8FWXAmDk6YQ9UUx50GQerbII8khKDaaGsiQzkoL\noePJ4KJCjqVYp4KT3mmqBk/DTtYxspbJPToux7n22muxffv2Qc1UYP4pHctdhfKheZAlEbv3Hurx\ntdpDzVBkEXbrwEdSjjCb9CjIc2D7zp7V+fadBzBy2PEXuj753PtwOSyYN2MMAKC5pbNbgWQ1G9DY\n1B5zNhY4noNr+FRIBjoRnwhNs2KL4wSIdLHAjChLkM0D2/uEHJ/BSes7WBIUK1LgEiljBH0+qGEf\n6xhZieNFGHMqWcfowvxdJegGfqGg1ymYOXUU3v94G3btOVp8HDjUhPc+2opZ06oGvUv4vBnV2LB5\nB/bsq+96bMOnX2Pv/gYsPE573E6PPzracf7Rzb9cDjMO1bd0rRuprWtGjrNnt6xUJ4gC3FULwA9i\n08dMZ8xNnaHMbCXqc1hHyGqm3NjX1pHuaGE5WxzHHy4+SDz42xtYR8haBmc5ePHELemTieniciDa\nUpfjZWjqwDb0uPaSZfj081246sa/4azlMyFJAp587n0oioSrLlo6oGMdONiEz7fuwZhRQ1GYH911\n+oKVc/Hy2k9w9X/9HeeeMRvBYBgPr34LI4YVYem8ib0e54ln34U7x4Y506u6HpszvRr/fOQN/PZP\nq1GY58Bb67/ADVefPqB8qUJSFORWLcGhLS8AYLbvZMoy51f1/SSSUIKOpvuwpLfTiEc8iHob7eGR\nAgTFgUighXWMjOBtpMYTrMRrmlW8MB/xAKLdIwaqIM+B+/98HcaPKccjT7+N+x9bh2FlBbj3T9d0\nFQ/9tfmL3bjlfx7H5i92dz1mt5lwzx1XYVhZAf7x0Gt44tl3MfvkKvz5t5dAlnvWa50eHx5/9r2u\ntR1HVJTm4xc/XolNn+3Ak8+9h/O/NwenLU7fxdp6iwXO4bNZx0g5kt4OnbXvvSZIYgmyFRwvsY6R\ntSSdDoJC3cUGy1KQPpvOZjJaYB4fkXAE/lZaWM6KyT2KdYRuOO3IHCCGAm074W858e7FJHVomoam\n3Z+jo/Zz1lFShr1sFoZMv4Z1DALAU78RYW/P9V8kOVr2foXWfRtZx0hrQ2dfD1vJZNYxsp4aCaKj\n5nXQCP/geFubUffFS6xjZCWOF1B91gPgxdSZJp8iIx60IDSdcBwHR2k1dDa6w38E3aFMHaKO1nmw\npHcUso6Q1jhegjl/DOsYBAAvyBB0A5tBQXrytdB+KKwYnBUpVXQAKVN42MHxqbPwhfSN53nkjpgF\nUUd7J4DjYabCI2WIepobz5JsNIET6HweK1NeFQSJds1OFZIhn3WEtKZpGjwNO1jHyFqpNs0KSJHC\ng+M4SEZ6c6cbQRLgrloEjmfeo4Apo2sYRCX29s0kvgTJBE6gCzdWeJ6j7laDYC3qvXkJYUMy5LGO\nkNbC/gAigZ57opHksA6ZyjpCDylReACAZChgHYHEQNbrkTtqMesYTNmGTmcdgXwL3aVky+AcwjpC\n2rJQ4ZFSeFEXUwMcEuVvb2QdIWvpbMUwOEpZx+ghZQoPQecER3tEpCWD3QF7WZZefHMC7ENPZp2C\nfItsKmYdIavpzFbgmO5+pH/0jlLIRlpTkGroRkbsvE17WUfIWvayWawj9CplCg+O4+jNncasBaUw\nukewjpF0loKxtM4lBQmKFbxM/y6s8KIAg6OMdYy0Yy2mTlapiK5NYhNRVXib97COkZ04DvbSmaxT\n9CplCg8AkIzUJSldcRwHZ8VEyObs2kAsVd/YBJBNJawjZDVjDhUeA8LxcFTMZZ2C9IKXDOBl2sV8\noIKdHYCmso6RlUzuKsiG1OwYm1KFh6izg5dokW66Enge7lFzwUsG1lGSgpf0sBan72aQmU4yFiLF\nTnFZRWelKUMDYSmckLIXCoSmb8bC30L7KbHiSNFpVgAQt3ZE27adeAPA8vJyyHLfLRZlUwn8LVvj\nFYskmShLyKtejNrNz2f8nQ5byRTwIrUNTVW8IEMy5CHkrWUdJSuJsgTFnI9AB/Xw7w/X8IWsI5AT\nkE3F8Ld8BWhh1lHSBrXRZYMXFVhLprCOcVxxKzyWL19+wq+vW7cORUV9T6WSTEWHdzGnnULTlWI0\nIWfEAjRse511lIRylM9hHYH0QTIVU+HBkMk9jAqPfpCMOTAXjGUdg5wAx4uQTUUIduxhHSUthAJB\nhHwtrGNkJWvx5JTeCyjl5iHwggJRn8s6Bhkkk8sNW0nmTkPSO0pTcmMe0p2oz6E9PRjS2bJrzVes\nnMPmg+NS7uOYfItsHso6QtoItDezjpC1HGWzWUc4obiNeGzfvj1eh4JiKUPYVxe34xE2bMWVCHqa\n4G3azTpK3OWOOpV1BNIPHMdBNhUj0EZD/ixIOgWizoqwv411lNTFCXCW06LydCDIZgg6FyJ+2pui\nL97mGtYRspLOWgRTfhXrGCeUkrdYRL0LgkKL7NIdx3NwDZ8KKcMWTEoGJ2xDprGOQfpJNpcAoD0l\nWOA4DiZ3JesYKc1aPBGSgTaoSxeKJfU2ZEs1qqrB27iLdYys5K4+PeVHT1M2nc42nHUEEgeCKMBd\ntQB8Bm0OmTPyFHC8wDoG6SdeNFBrXYb0jkLWEVJa7qjTWEcgAyDq3eAEPesYKS3k9UBTQ6xjZB3F\nUgBbGmxonLKFh6jPoVGPDCEpCtxVi5EJd515SQ9nxXzWMcgAKbZhSOHTXUaTjUbwYubceIgnc8F4\nGHPoJls64TiORj364GulqfIsuKtWpPxoB5Din8Q6Gw3RZwqdxQrnsNRe8NQfzor5EOTs2Kckk/Ci\n/vCUK5JsPMfBmEvn8t7kjzuTdQQSA9k8lJpWnICHplklnWx2w146g3WMfknpwoPWemQWs7sI5oIx\nrGPEjJf0yB39XdYxSIwU6zAgDe4GZSKDgzZf+zZL0UkwOMtZxyAx4HiBpoMfRyQURrCDRjySzT16\nRdpMAU/5T2Ea9cgcHMfBUVoNna3v/VxSUe6oUyHpraxjkBjxoo7aYTKis9io6OuGQ/5YGu1IZ5Kp\nBLxoZB0j5fg7aO+OZJOMOXCUp+5O5d+W8p8ENOqRWXieR86ImRAUM+soAyLqbcgZuYx1DDJIirUC\n4NLjrlAm4QUeBmcZ6xgpw1oyBXrHUNYxyCBwHAedfQTrGCnH17yfdYSs4676Ljg+brtjJFzKFx4A\njXpkGlESkVe9OK3eKHljVqb0TqCkf3hBgWKmhaEsGHPovzsAgOOQN3Yl6xQkDiRjAQTZxjpGytBU\nDZ6GnaxjZBXJ4ISjfB7rGAOSFoUHjXpkHlmvR+6oxaxj9ItiKaROVhlEtpYDXPoUvZlCb3GxjpAS\n7KWzoLfRmpdMobOPZB0hZQT9PqhhP+sYWaVgwvnghfT6PEuLwgMA9M4qZEI7VnKUwe6AvSz1e07n\njz8HHJ82bxXSB16QobMNYx0j6wiyCMVSwDoGU4JsRMGE81nHIHEk6l0QdTmsY6SEQFsD6whZxZRX\nDXvpdNYxBixtrqYE2RrtSkMyirWgDMbc1J0naykcD1vJZNYxSJzJljLwkoV1jKxjys3uc3j+uLOp\nQUUG0jmrkEaXUwnjadjNOkLW4HgRRZN/wDpGTNLqnaLYhtHFQobhOA6uiomQzW7WUXrgJT2KplzK\nOgZJAI7joXeNZR0j6+htuawjMKN3lsM5fCHrGCQBBMl0eJPS7BUJR+Bvo4XlyZI76lTorOk5gpxW\nhQfH8TC4xoKmXGUWXuDhHjUXvJRaG/MVjD8XspHmpWcqUbFBpoXmSSXqFIj6LFyMywkonnp5Wuwq\nTGKjWCvAS+nVrTGeAh1trCNkDcWcD3f1GaxjxCztzoKCYoNipU2XMo0oS8irWgJwqVFUGnNHwjl8\nEesYJMF09hHgBD3rGFmD4ziY3NnXpTB39KkwUPvcjMZxPPTO7B1F9bXUso6QJTgUT7sCvCizDhKz\ntCs8AECxDQcvmVjHIHGmmIzIGbGAdQxwgoSSaVeAS5EiiCQOx4swuMaxjpFVDPb0nB4QK8VSiLwx\n1D43G4g6O2RL9t0Y1TQNnoYdrGNkBVflYpjc6d1JLS0LD44ToHeNA025yjwmVx6sJScxzZA3ZiUU\nSz7TDCR5RL2LplwlkWwwghezY08cjhdQcvJV4AWJdRSSJDp7ZdZNuQr7A4gEO1nHyHiyMQf5489l\nHWPQ0rLwAABRsUO20E64mchePAJ6Rrscm/KqkTv6NCavTdjR2UeCF42sY2QFjudgys2O6VYFEy6A\nMSe7Fx1nG44TDo+iZs+NUX97I+sIGY/jBQyZcV1GbGSctoUHEN3RnC4WMg/Hc8gZPhWSIbmbRkoG\nB4bO/CEtAM1CHC9AnzMBaX5KTBsGZ+ZvoGctmYKckaewjkEYEBQbdI7RrGMkjadxD+sIGa/wpFUw\nZsgNm7T+lOV4AYbciQAnsI5C4kwQBbhHLwAvKMl5QU7AkJk/gqijds3ZSlRs0LvGsI6RFRSzNaPP\n27I5DyXTrmQdgzCkWEohmTK/wFYjKnwte1nHyGiO8jlwVS5mHSNu0rrwAKIbCxpyJrCOQRJA0ilw\nVyXnzVYw/hyYUngjQ5IcsqmYpnAmAS/wMLoy878zJ0gonfUTCHJqtQcnyad3VEOQM3vDyKCnA9BU\n1jEylt5RhqIpl7COEVdpX3gAgGTIg84+inUMkgA6ixXOYXMS+hrW4km0roN00dlHQdRn70Z3yWLI\nycwF/UWTLoaeWucSHJmVcRI4Pn1bn/bF13KQdYSMJSoWlM65HryQWf//ZEThAQCKtRyyqYR1DJIA\nZncRzAWJmQKjWApQfPJVCTk2SU8cx8GQM4FadieYzuJkHSHu7GWz4Rw2n3UMkkJ40QBDzkRk6mLz\nzoadrCNkJo7HkFk/yshNjDOm8AAAnbMaoi7z/pGyHcdxcJRWQ2ctiutxRb0d5fN/DlGmBgWkO46X\nYMidBPDUBjVRREmEzlrIOkbcmPKqUTz1ctYxSAoS9S7o7Om990JvQoEgwr4W1jEyUsGE82DOq2Id\nIyEyqvDgOB6GnJPoTmUG4nkeOSNnQlDi0x+dl/Qom3cTZFNOXI5HMo8gmQ6vH8v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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "hpc_pie(tmp_df, 'APOE4_bin', path_results + 'adni2_adcn_hpc_e4_pie.pdf')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## gender (% male) in ADNI2 AD VS CN" ] }, { "cell_type": "code", "execution_count": 128, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "baseline rate in NON-TARGET subjects: 0.4574468085106383\n", "##########\n", "baseline rate in TARGET subjects: 0.5444444444444444\n", "##########\n", "number of subjects with VOI in the whole sample: 135.0\n", "total number of subjects with VOI data in whole sample: 278\n", "ratio: 0.4856115107913669\n", "##########\n", "number of subjects with VOI that are positive at stage 1: 50.0\n", "total number of positive stage 1 subjects with VOI data: 89\n", "ratio: 0.5617977528089888\n", "##########\n", "number of subjects with VOI in HPC-AD: 28.0\n", "total number of HPC-AD subjects with VOI data: 46\n", "ratio: 0.6086956521739131\n", "##########\n", "number of subjects with VOI in Non-HPC+: 22.0\n", "total number of Non-HPC+ with VOI data: 43\n", "ratio: 0.5116279069767442\n", "##########\n", "number of subjects with VOI in negative subjects: 85.0\n", "total number of negative subjects with VOI data 189\n", "ratio: 0.4497354497354497\n" ] } ], "source": [ "compare_ratio_var(df3, 'gender', 'AD')" ] }, { "cell_type": "code", "execution_count": 129, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "observed freq: \n", "[[ 104. 21. 18.]\n", " [ 85. 22. 28.]]\n", "Chi2: 3.88021920588\n", "p value: 0.143688200265\n", "degress of freedom: 2\n", "expected freq: \n", "[[ 97.21942446 22.11870504 23.6618705 ]\n", " [ 91.78057554 20.88129496 22.3381295 ]]\n" ] }, { "data": { "text/html": [ "
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NegativeNon-HPS+HPS+gender
0104.021.018.0-
185.022.028.0+
\n", "
" ], "text/plain": [ " Negative Non-HPS+ HPS+ gender\n", "0 104.0 21.0 18.0 -\n", "1 85.0 22.0 28.0 +" ] }, "execution_count": 129, "metadata": {}, "output_type": "execute_result" } ], "source": [ "chi2_fn(df3, 'gender')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## csf abeta in ADNI2 AD VS CN" ] }, { "cell_type": "code", "execution_count": 130, "metadata": {}, "outputs": [ { "data": { "image/png": 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0v379GlOnToWlpSUaNGiAL774AtOnT0evXr2wZs0a2NrawsTEBEOGDMGGDRtq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WpqWmgDzoIFC7C1tcXLy4uEhASNdQkJCQQEBBAQEMCcOXOwt7dnxowZWnPc37lzh+Tk5ALv5z0Z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\n9eu/8H2Fh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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "ANOVA F: 7.77123980929\n", "p value: 0.000642783344309\n", "Multiple Comparison of Means - Tukey HSD,FWER=0.05\n", "==================================================\n", " group1 group2 meandiff lower upper reject\n", "--------------------------------------------------\n", " HPS+ Negative 47.6641 18.9973 76.3309 True \n", " HPS+ Non-HPS+ 36.5738 1.9225 71.225 True \n", "Negative Non-HPS+ -11.0904 -38.0297 15.849 False \n", "--------------------------------------------------\n" ] } ], "source": [ "anova_hpc(df3, 'ABETA', 50, 350, path_results + 'adni2_adcn_csf_abeta.pdf')" ] }, { "cell_type": "code", "execution_count": 131, "metadata": {}, "outputs": [ { "data": { "image/png": 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PPfZYrtu5u7vTokULAC5evGh1Q5odAsqUKUPNmjXvu4YtW7YA4OPjk2sN5cuX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\nA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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "ANOVA F: 13.2160052035\n", "p value: 2.07493919642e-10\n", "Multiple Comparison of Means - Tukey HSD,FWER=0.05\n", "==================================================\n", " group1 group2 meandiff lower upper reject\n", "--------------------------------------------------\n", " AD+ AD- -12.2952 -60.1223 35.5319 False \n", " AD+ CN+ 46.7417 -3.4933 96.9767 False \n", " AD+ CN- 51.0536 10.3956 91.7116 True \n", " AD+ HPS+ AD -25.2028 -73.5414 23.1359 False \n", " AD+ HPS+ CN 41.9417 -27.0997 110.9831 False \n", " AD- CN+ 59.0368 14.2369 103.8368 True \n", " AD- CN- 63.3488 29.6359 97.0617 True \n", " AD- HPS+ AD -12.9076 -55.5703 29.7551 False \n", " AD- HPS+ CN 54.2368 -10.9567 119.4304 False \n", " CN+ CN- 4.3119 -32.7378 41.3616 False \n", " CN+ HPS+ AD -71.9444 -117.2901 -26.5988 True \n", " CN+ HPS+ CN -4.8 -71.78 62.18 False \n", " CN- HPS+ AD -76.2564 -110.6911 -41.8217 True \n", " CN- HPS+ CN -9.1119 -69.2438 51.0199 False \n", "HPS+ AD HPS+ CN 67.1444 1.5747 132.7142 True \n", "--------------------------------------------------\n" ] } ], "source": [ "anova_hpc_split(df3, 'ABETA', 50, 350, 'CN', 'AD', path_results + 'adni2_adcn_csf_abeta_split.pdf')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## csf tau in ADNI2 AD VS CN" ] }, { "cell_type": "code", "execution_count": 132, "metadata": {}, "outputs": [ { "data": { "image/png": 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jR47o5s2bcnNzk6+vr/r27auePXvmuootAAAAUFjsKtx7eXnp3LlzhXa95s2b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\nLCx49uwZ586d4+TJk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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "ANOVA F: 3.18928962518\n", "p value: 0.0444195354963\n", "Multiple Comparison of Means - Tukey HSD,FWER=0.05\n", "==================================================\n", " group1 group2 meandiff lower upper reject\n", "--------------------------------------------------\n", " HPS+ Negative -28.8111 -60.709 3.0869 False \n", " HPS+ Non-HPS+ -39.105 -77.5654 -0.6446 True \n", "Negative Non-HPS+ -10.2939 -40.2797 19.6918 False \n", "--------------------------------------------------\n" ] } ], "source": [ "anova_hpc(df3, 'TAU', 0, 350, path_results + 'adni2_adcn_csf_tau.pdf')" ] }, { "cell_type": "code", "execution_count": 133, "metadata": {}, "outputs": [ { "data": { "image/png": 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IAwYMKHBWYQAAAKCklakQULVqVZ05c8Zm12vfvr3at29/X9do1aqVWrVqZaOK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\nj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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "ANOVA F: 10.8747887647\n", "p value: 9.84135207703e-09\n", "Multiple Comparison of Means - Tukey HSD,FWER=0.05\n", "==================================================\n", " group1 group2 meandiff lower upper reject\n", "--------------------------------------------------\n", " AD+ AD- 29.018 -23.9198 81.9558 False \n", " AD+ CN+ -56.5283 -112.1313 -0.9253 True \n", " AD+ CN- -35.7637 -80.8714 9.344 False \n", " AD+ HPS+ AD 26.7417 -26.7623 80.2457 False \n", " AD+ HPS+ CN -60.8483 -137.2673 15.5707 False \n", " AD- CN+ -85.5463 -135.1335 -35.9591 True \n", " AD- CN- -64.7817 -102.2237 -27.3397 True \n", " AD- HPS+ AD -2.2763 -49.4979 44.9452 False \n", " AD- HPS+ CN -89.8663 -162.0263 -17.7063 True \n", " CN+ CN- 20.7646 -20.3594 61.8886 False \n", " CN+ HPS+ AD 83.27 33.0788 133.4612 True \n", " CN+ HPS+ CN -4.32 -78.4573 69.8173 False \n", " CN- HPS+ AD 62.5054 24.2671 100.7437 True \n", " CN- HPS+ CN -25.0846 -91.7131 41.5439 False \n", "HPS+ AD HPS+ CN -87.59 -160.1664 -15.0136 True \n", "--------------------------------------------------\n" ] } ], "source": [ "anova_hpc_split(df3, 'TAU', 0, 350, 'CN', 'AD', path_results + 'adni2_adcn_csf_tau_split.pdf')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## age in ADNI2 AD VS CN" ] }, { "cell_type": "code", "execution_count": 134, "metadata": {}, "outputs": [ { "data": { "image/png": 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dOiAgIADjx48XiliNHTsWEyZM0HZziYiISs3Ozg5LliyBVCqFWCyGp6cni1jp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\nMtnfDpeIiCaAPfdERERERNMEJ9QSEREREU0TTO6Ji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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "ANOVA F: 1.36149580676\n", "p value: 0.257999055779\n", "Multiple Comparison of Means - Tukey HSD,FWER=0.05\n", "================================================\n", " group1 group2 meandiff lower upper reject\n", "------------------------------------------------\n", " HPS+ Negative -0.904 -3.5347 1.7268 False \n", " HPS+ Non-HPS+ -2.3463 -5.7405 1.0479 False \n", "Negative Non-HPS+ -1.4424 -4.1459 1.2612 False \n", "------------------------------------------------\n" ] } ], "source": [ "anova_hpc(df3, 'age_scan', 50, 100, path_results + 'adni2_adcn_age.pdf')" ] }, { "cell_type": "code", "execution_count": 135, "metadata": {}, "outputs": [ { "data": { "image/png": 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IPQFERERERCLDJICIiIiISGSYBJDJXLp0CT/99BMePXoktCUlJZUoFpabm4vo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\n8YU+ZaxVqxbOnDkDA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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "ANOVA F: 1.70521352678\n", "p value: 0.133536005744\n", "Multiple Comparison of Means - Tukey HSD,FWER=0.05\n", "==============================================\n", " group1 group2 meandiff lower upper reject\n", "----------------------------------------------\n", " AD+ AD- 1.8828 -3.3656 7.1312 False \n", " AD+ CN+ -2.8398 -8.7555 3.0759 False \n", " AD+ CN- -0.5029 -5.0208 4.015 False \n", " AD+ HPS+ AD 0.9905 -4.5266 6.5075 False \n", " AD+ HPS+ CN 0.7113 -5.7233 7.146 False \n", " AD- CN+ -4.7226 -9.8929 0.4477 False \n", " AD- CN- -2.3856 -5.871 1.0997 False \n", " AD- HPS+ AD -0.8923 -5.6013 3.8167 False \n", " AD- HPS+ CN -1.1715 -6.9283 4.5853 False \n", " CN+ CN- 2.337 -2.0899 6.7639 False \n", " CN+ HPS+ AD 3.8303 -1.6125 9.2731 False \n", " CN+ HPS+ CN 3.5511 -2.82 9.9222 False \n", " CN- HPS+ AD 1.4933 -2.3848 5.3715 False \n", " CN- HPS+ CN 1.2142 -3.8855 6.3138 False \n", "HPS+ AD HPS+ CN -0.2792 -6.2819 5.7236 False \n", "----------------------------------------------\n" ] } ], "source": [ "anova_hpc_split(df3, 'age_scan', 50, 100, 'CN', 'AD', path_results + 'adni2_adcn_age_split.pdf')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## cognition in ADNI2 AD VS CN" ] }, { "cell_type": "code", "execution_count": 136, "metadata": {}, "outputs": [ { "data": { "image/png": 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BoGfPnowePRofHx8WL17Mt99+S3Z2Nq1bt2bcuHHUqVOHAwcOMHv2bI4cOUKt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\nB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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "ANOVA F: 23.5611365287\n", "p value: 3.59245705112e-10\n", "Multiple Comparison of Means - Tukey HSD,FWER=0.05\n", "================================================\n", " group1 group2 meandiff lower upper reject\n", "------------------------------------------------\n", " HPS+ Negative 3.121 1.954 4.288 True \n", " HPS+ Non-HPS+ 1.1507 -0.3551 2.6564 False \n", "Negative Non-HPS+ -1.9703 -3.1697 -0.771 True \n", "------------------------------------------------\n" ] } ], "source": [ "# mmse\n", "anova_hpc(df3, 'MMSE', 15, 35, path_results + 'adni2_adcn_mmse.pdf')" ] }, { "cell_type": "code", "execution_count": 137, "metadata": {}, "outputs": [ { "data": { "image/png": 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IiEhGGOCJiIiIiGSEAb4CpaWl4Y033kBgYCC6d++OoUOHIiIiAgBw8uRJTJ48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\nuTz11FMkJCTg6urK3LlzKV++fDHXumB+/fVXnnnmGQYPHsySJUv4z3/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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "ANOVA F: 195.649935933\n", "p value: 6.82250880145e-88\n", "Multiple Comparison of Means - Tukey HSD,FWER=0.05\n", "===============================================\n", " group1 group2 meandiff lower upper reject\n", "-----------------------------------------------\n", " AD+ AD- 1.2161 0.0284 2.4039 True \n", " AD+ CN+ 6.842 5.5032 8.1807 True \n", " AD+ CN- 6.5771 5.5547 7.5996 True \n", " AD+ HPS+ AD 0.0238 -1.2247 1.2724 False \n", " AD+ HPS+ CN 6.7113 5.2551 8.1675 True \n", " AD- CN+ 5.6259 4.4558 6.7959 True \n", " AD- CN- 5.361 4.5723 6.1498 True \n", " AD- HPS+ AD -1.1923 -2.258 -0.1266 True \n", " AD- HPS+ CN 5.4952 4.1924 6.798 True \n", " CN+ CN- -0.2648 -1.2667 0.737 False \n", " CN+ HPS+ AD -6.8182 -8.0499 -5.5864 True \n", " CN+ HPS+ CN -0.1307 -1.5725 1.3111 False \n", " CN- HPS+ AD -6.5533 -7.431 -5.6757 True \n", " CN- HPS+ CN 0.1342 -1.0199 1.2883 False \n", "HPS+ AD HPS+ CN 6.6875 5.329 8.046 True \n", "-----------------------------------------------\n" ] } ], "source": [ "anova_hpc_split(df3, 'MMSE', 15, 35, 'CN', 'AD', path_results + 'adni2_adcn_mmse_split.pdf')" ] }, { "cell_type": "code", "execution_count": 138, "metadata": {}, "outputs": [ { "data": { "image/png": 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SEoL58+cjLi4OEokEW7duxZAhQ8Qui96TUU1l0QcvLy/h9rVr13T2u3btGpRK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\nc0GgNm3aKEHO4cOHOXnyJHfu3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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "ANOVA F: 37.7181572388\n", "p value: 3.4383941738e-15\n", " Multiple Comparison of Means - Tukey HSD,FWER=0.05\n", "===================================================\n", " group1 group2 meandiff lower upper reject\n", "---------------------------------------------------\n", " HPS+ Negative -14.7828 -18.9638 -10.6018 True \n", " HPS+ Non-HPS+ -7.4482 -12.8729 -2.0236 True \n", "Negative Non-HPS+ 7.3346 2.9966 11.6726 True \n", "---------------------------------------------------\n" ] } ], "source": [ "# adas cog\n", "anova_hpc(df3, 'ADAS13', -1, 60, path_results + 'adni2_adcn_adas13.pdf')" ] }, { "cell_type": "code", "execution_count": 139, "metadata": {}, "outputs": [ { "data": { "image/png": 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ExESOHz9udRlyEZxOJ06n0+oy3JbHBfjdu3ezZs0aFi9enG/7yMKcPXvW9ThvrnyTJk0A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rKjo2Oh5aysrGjTpg2XL1/mzJkzZdG0MuPs7Iyzs3O+dQ4ODjg4OORb16BBA6pWrQrk3q0AsLS0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\nfHy+bfHx8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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "ANOVA F: 197.403412215\n", "p value: 5.55522331504e-88\n", "Multiple Comparison of Means - Tukey HSD,FWER=0.05\n", "=================================================\n", " group1 group2 meandiff lower upper reject\n", "-------------------------------------------------\n", " AD+ AD- -3.4316 -7.934 1.0709 False \n", " AD+ CN+ -22.3455 -27.3809 -17.31 True \n", " AD+ CN- -22.9933 -26.8731 -19.1136 True \n", " AD+ HPS+ AD 4.2333 -0.4716 8.9383 False \n", " AD+ HPS+ CN -20.175 -25.6416 -14.7084 True \n", " AD- CN+ -18.9139 -23.2802 -14.5476 True \n", " AD- CN- -19.5618 -22.5217 -16.6018 True \n", " AD- HPS+ AD 7.6649 3.6843 11.6455 True \n", " AD- HPS+ CN -16.7434 -21.6007 -11.8862 True \n", " CN+ CN- -0.6479 -4.3688 3.073 False \n", " CN+ HPS+ AD 26.5788 22.004 31.1536 True \n", " CN+ HPS+ CN 2.1705 -3.1846 7.5255 False \n", " CN- HPS+ AD 27.2267 23.967 30.4863 True \n", " CN- HPS+ CN 2.8183 -1.4681 7.1047 False \n", "HPS+ AD HPS+ CN -24.4083 -29.4538 -19.3629 True \n", "-------------------------------------------------\n" ] } ], "source": [ "anova_hpc_split(df3, 'ADAS13', -1, 60 ,'CN', 'AD', path_results + 'adni2_adcn_adas13_split.pdf')" ] }, { "cell_type": "code", "execution_count": 140, "metadata": {}, "outputs": [ { "data": { "image/png": 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ws7PDhAkT2FKRiOg5cOacqg2xWIzPPvsMU6dORX5+vtA2qmfPnvjrr7/Uxrq5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\nOzs7nDt3Dr6+vjh//rywnLm+v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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "ANOVA F: 35.4255069454\n", "p value: 2.04644740979e-14\n", "Multiple Comparison of Means - Tukey HSD,FWER=0.05\n", "=================================================\n", " group1 group2 meandiff lower upper reject\n", "-------------------------------------------------\n", " HPS+ Negative 1.2699 0.8934 1.6464 True \n", " HPS+ Non-HPS+ 0.5749 0.0892 1.0607 True \n", "Negative Non-HPS+ -0.695 -1.0819 -0.3081 True \n", "-------------------------------------------------\n" ] } ], "source": [ "# adni memory\n", "anova_hpc(df3, 'ADNI_MEM', -3.5, 3.5, path_results + 'adni2_adcn_memory.pdf')" ] }, { "cell_type": "code", "execution_count": 141, "metadata": {}, "outputs": [ { "data": { "image/png": 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UQvxFDh06xJAhQ9i9ezcA1atX57PPPsPPz8/DlRW9lJQUJk2axPr16wkJCbnkNIwLv7hx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\n6OiI7t27o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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "ANOVA F: 154.001870037\n", "p value: 3.61473828889e-77\n", "Multiple Comparison of Means - Tukey HSD,FWER=0.05\n", "===============================================\n", " group1 group2 meandiff lower upper reject\n", "-----------------------------------------------\n", " AD+ AD- 0.3084 -0.1265 0.7433 False \n", " AD+ CN+ 1.909 1.4188 2.3992 True \n", " AD+ CN- 2.0261 1.6517 2.4005 True \n", " AD+ HPS+ AD -0.3121 -0.7693 0.1451 False \n", " AD+ HPS+ CN 1.7403 1.2071 2.2735 True \n", " AD- CN+ 1.6006 1.1721 2.029 True \n", " AD- CN- 1.7177 1.4289 2.0065 True \n", " AD- HPS+ AD -0.6205 -1.0107 -0.2303 True \n", " AD- HPS+ CN 1.4319 0.9548 1.9089 True \n", " CN+ CN- 0.1171 -0.2497 0.484 False \n", " CN+ HPS+ AD -2.2211 -2.6721 -1.7701 True \n", " CN+ HPS+ CN -0.1687 -0.6966 0.3592 False \n", " CN- HPS+ AD -2.3382 -2.6596 -2.0169 True \n", " CN- HPS+ CN -0.2858 -0.7084 0.1368 False \n", "HPS+ AD HPS+ CN 2.0524 1.555 2.5498 True \n", "-----------------------------------------------\n" ] } ], "source": [ "anova_hpc_split(df3, 'ADNI_MEM', -3.5, 3.5, 'CN', 'AD', path_results + 'adni2_adcn_memory_split.pdf')" ] }, { "cell_type": "code", "execution_count": 142, "metadata": {}, "outputs": [ { "data": { "image/png": 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LS4USsj/r2rWrfoIjqiHMzMzw448/YujQoVAoFPDz88O4ceOEOVdkuJick8HY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\n2tro27cvGjZsiJiYGJw9exbv3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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "ANOVA F: 23.4865673415\n", "p value: 3.82864829859e-10\n", "Multiple Comparison of Means - Tukey HSD,FWER=0.05\n", "=================================================\n", " group1 group2 meandiff lower upper reject\n", "-------------------------------------------------\n", " HPS+ Negative 1.072 0.6813 1.4627 True \n", " HPS+ Non-HPS+ 0.4822 -0.0218 0.9863 False \n", "Negative Non-HPS+ -0.5898 -0.9913 -0.1883 True \n", "-------------------------------------------------\n" ] } ], "source": [ "# adni executive function\n", "anova_hpc(df3, 'ADNI_EF', -3.5, 3.5, path_results + 'adni2_adcn_ef.pdf')" ] }, { "cell_type": "code", "execution_count": 143, "metadata": {}, "outputs": [ { "data": { "image/png": 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D+91J3VpVeGZEH6bOWEhWdg5d72hG6xb1gdypO1K4mjRpkqdtzpw5ZGTkPgMx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\nf/87UVGXPsl4/PHHFeBF/oKJEyeyb1/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0nDlzhujoaK3tcDj44YcfdEwkSsJoNGIymTCb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\nMHXq1DLHn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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "ANOVA F: 53.8825860548\n", "p value: 9.42399538833e-39\n", "Multiple Comparison of Means - Tukey HSD,FWER=0.05\n", "===============================================\n", " group1 group2 meandiff lower upper reject\n", "-----------------------------------------------\n", " AD+ AD- 0.4824 -0.1217 1.0865 False \n", " AD+ CN+ 1.8405 1.1596 2.5214 True \n", " AD+ CN- 1.8042 1.2842 2.3242 True \n", " AD+ HPS+ AD -0.0755 -0.7105 0.5595 False \n", " AD+ HPS+ CN 1.4623 0.7217 2.203 True \n", " AD- CN+ 1.3581 0.763 1.9532 True \n", " AD- CN- 1.3218 0.9206 1.7229 True \n", " AD- HPS+ AD -0.5579 -1.0999 -0.0159 True \n", " AD- HPS+ CN 0.9799 0.3173 1.6425 True \n", " CN+ CN- -0.0363 -0.5459 0.4732 False \n", " CN+ HPS+ AD -1.916 -2.5424 -1.2895 True \n", " CN+ HPS+ CN -0.3782 -1.1115 0.3552 False \n", " CN- HPS+ AD -1.8796 -2.326 -1.4333 True \n", " CN- HPS+ CN -0.3418 -0.9288 0.2451 False \n", "HPS+ AD HPS+ CN 1.5378 0.8469 2.2287 True \n", "-----------------------------------------------\n" ] } ], "source": [ "anova_hpc_split(df3, 'ADNI_EF', -3.5, 3.5, 'CN', 'AD', path_results + 'adni2_adcn_ef_split.pdf')" ] }, { "cell_type": "code", "execution_count": 144, "metadata": {}, "outputs": [ { "data": { "image/png": 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hb2+Pvn37CseGWq3GoUOHkJOTgy5dupR7RZoqz8PyRSbmFaSiE3MAwijW6tWr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\nf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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "ANOVA F: 33.1115691352\n", "p value: 1.30453392055e-13\n", "Multiple Comparison of Means - Tukey HSD,FWER=0.05\n", "================================================\n", " group1 group2 meandiff lower upper reject\n", "------------------------------------------------\n", " HPS+ Negative 5.7629 4.0914 7.4344 True \n", " HPS+ Non-HPS+ 4.3089 2.1523 6.4655 True \n", "Negative Non-HPS+ -1.454 -3.1718 0.2637 False \n", "------------------------------------------------\n" ] } ], "source": [ "# language\n", "anova_hpc(df3, 'BNTTOTAL', -5, 35, path_results + 'adni2_adcn_language.pdf')" ] }, { "cell_type": "code", "execution_count": 145, "metadata": {}, "outputs": [ { "data": { "image/png": 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askVF0va9ZKSmYv7/TUHa7Vv2FapXw8ip72H5p7Nx/tgJAIDO1xdjPpyKo3/9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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "ANOVA F: 40.7675422186\n", "p value: 3.18907427213e-31\n", "Multiple Comparison of Means - Tukey HSD,FWER=0.05\n", "================================================\n", " group1 group2 meandiff lower upper reject\n", "------------------------------------------------\n", " AD+ AD- 0.0586 -2.7795 2.8967 False \n", " AD+ CN+ 4.5108 1.3119 7.7097 True \n", " AD+ CN- 4.7248 2.2817 7.1678 True \n", " AD+ HPS+ AD -4.6286 -7.6119 -1.6452 True \n", " AD+ HPS+ CN 2.9256 -0.5539 6.4051 False \n", " AD- CN+ 4.4522 1.6564 7.248 True \n", " AD- CN- 4.6662 2.7815 6.5509 True \n", " AD- HPS+ AD -4.6872 -7.2335 -2.1408 True \n", " AD- HPS+ CN 2.867 -0.246 5.98 False \n", " CN+ CN- 0.2139 -2.1799 2.6078 False \n", " CN+ HPS+ AD -9.1394 -12.0826 -6.1962 True \n", " CN+ HPS+ CN -1.5852 -5.0304 1.8599 False \n", " CN- HPS+ AD -9.3533 -11.4504 -7.2562 True \n", " CN- HPS+ CN -1.7992 -4.5568 0.9585 False \n", "HPS+ AD HPS+ CN 7.5542 4.3082 10.8002 True \n", "------------------------------------------------\n" ] } ], "source": [ "anova_hpc_split(df3, 'BNTTOTAL', -5, 35, 'CN', 'AD', path_results + 'adni2_adcn_language_split.pdf')" ] }, { "cell_type": "code", "execution_count": 146, "metadata": {}, "outputs": [ { "data": { "image/png": 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Tpk2tOYtlCQ0N5YYbbmDJkiWkpqbyyy+/cNlll52fRlaQ3W5n4sSJjB07tsRIwPDhw1m7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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "ANOVA F: 22.0460416112\n", "p value: 1.31762360724e-09\n", "Multiple Comparison of Means - Tukey HSD,FWER=0.05\n", "=================================================\n", " group1 group2 meandiff lower upper reject\n", "-------------------------------------------------\n", " HPS+ Negative 1.0503 0.6438 1.4567 True \n", " HPS+ Non-HPS+ 0.3837 -0.1407 0.9082 False \n", "Negative Non-HPS+ -0.6665 -1.0843 -0.2488 True \n", "-------------------------------------------------\n" ] } ], "source": [ "# vis spat\n", "anova_hpc(df3, 'CLOCKSCOR', -1, 6, path_results + 'adni2_adcn_clock.pdf')" ] }, { "cell_type": "code", "execution_count": 147, "metadata": {}, "outputs": [ { "data": { "image/png": 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tWLEi/Pz8WLMUeXt7l/o6gJyPh5VKpcEye7lzgWV29o5Qq9UGf5NSaU4YzP/C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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "ANOVA F: 31.1612704267\n", "p value: 4.83792671761e-25\n", "Multiple Comparison of Means - Tukey HSD,FWER=0.05\n", "===============================================\n", " group1 group2 meandiff lower upper reject\n", "-----------------------------------------------\n", " AD+ AD- 0.7253 0.0214 1.4292 True \n", " AD+ CN+ 1.5411 0.7477 2.3345 True \n", " AD+ CN- 1.6448 1.0388 2.2507 True \n", " AD+ HPS+ AD -0.1619 -0.9018 0.578 False \n", " AD+ HPS+ CN 1.4673 0.6043 2.3302 True \n", " AD- CN+ 0.8159 0.1224 1.5093 True \n", " AD- CN- 0.9195 0.452 1.3869 True \n", " AD- HPS+ AD -0.8872 -1.5187 -0.2556 True \n", " AD- HPS+ CN 0.742 -0.0301 1.5141 False \n", " CN+ CN- 0.1036 -0.4901 0.6974 False \n", " CN+ HPS+ AD -1.703 -2.433 -0.9731 True \n", " CN+ HPS+ CN -0.0739 -0.9283 0.7806 False \n", " CN- HPS+ AD -1.8067 -2.3268 -1.2865 True \n", " CN- HPS+ CN -0.1775 -0.8614 0.5064 False \n", "HPS+ AD HPS+ CN 1.6292 0.8241 2.4342 True \n", "-----------------------------------------------\n" ] } ], "source": [ "anova_hpc_split(df3, 'CLOCKSCOR', -1, 6, 'CN', 'AD', path_results + 'adni2_adcn_clock_split.pdf')" ] }, { "cell_type": "code", "execution_count": 148, "metadata": {}, "outputs": [ { "data": { "image/png": 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ibISWy+VYt24dJk6cKPQtKyvD5s2bVV6vUCgQHx+PBg0aqGzC69SpEwYNGoR1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\nX5eXghw7dgwLFy6U6xNvYmKCO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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "ANOVA F: 57.4391899427\n", "p value: 1.43049684257e-21\n", "Multiple Comparison of Means - Tukey HSD,FWER=0.05\n", "=================================================\n", " group1 group2 meandiff lower upper reject\n", "-------------------------------------------------\n", " HPS+ Negative 0.0662 0.0511 0.0814 True \n", " HPS+ Non-HPS+ 0.0345 0.015 0.054 True \n", "Negative Non-HPS+ -0.0317 -0.0473 -0.0162 True \n", "-------------------------------------------------\n" ] } ], "source": [ "anova_hpc(df3, 'mean_gm', 0.2, 0.6, path_results + 'adni2_adcn_meangm.pdf')" ] }, { "cell_type": "code", "execution_count": 149, "metadata": {}, "outputs": [ { "data": { "image/png": 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zcOFC3nnnnSysSkRERB4Ehfw87sMPP2Tr1q0AbN68mbi4OCZPngyk3Im/td1/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\n9fWFn59fOZwNEVHpMcknIqpkF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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "ANOVA F: 33.4767467494\n", "p value: 1.36844796218e-26\n", "Multiple Comparison of Means - Tukey HSD,FWER=0.05\n", "===============================================\n", " group1 group2 meandiff lower upper reject\n", "-----------------------------------------------\n", " AD+ AD- 0.0267 -0.0019 0.0552 False \n", " AD+ CN+ 0.0395 0.0073 0.0717 True \n", " AD+ CN- 0.0585 0.0339 0.0831 True \n", " AD+ HPS+ AD -0.0204 -0.0504 0.0096 False \n", " AD+ HPS+ CN -0.0029 -0.038 0.0321 False \n", " AD- CN+ 0.0128 -0.0153 0.041 False \n", " AD- CN- 0.0318 0.0129 0.0508 True \n", " AD- HPS+ AD -0.047 -0.0727 -0.0214 True \n", " AD- HPS+ CN -0.0296 -0.0609 0.0017 False \n", " CN+ CN- 0.019 -0.0051 0.0431 False \n", " CN+ HPS+ AD -0.0599 -0.0895 -0.0302 True \n", " CN+ HPS+ CN -0.0424 -0.0771 -0.0077 True \n", " CN- HPS+ AD -0.0789 -0.1 -0.0578 True \n", " CN- HPS+ CN -0.0614 -0.0892 -0.0337 True \n", "HPS+ AD HPS+ CN 0.0175 -0.0152 0.0501 False \n", "-----------------------------------------------\n" ] } ], "source": [ "anova_hpc_split(df3, 'mean_gm', 0.2, 0.6, 'CN', 'AD', path_results + 'adni2_adcn_meangm_split.pdf')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## MCI stable vs converters" ] }, { "cell_type": "code", "execution_count": 150, "metadata": { "collapsed": true }, "outputs": [], "source": [ "adni2_mci = pd.read_csv('/Users/AngelaTam/Desktop/adsf/adni1_vbm_adcn_subtypes_20171209/7clus/adni2_mci_bl_demog_weights.csv')" ] }, { "cell_type": "code", "execution_count": 151, "metadata": { "collapsed": true }, "outputs": [], "source": [ "mask_mci = adni2_mci.loc[:,'MCI'].values.astype(bool)\n", "adni2_mci = adni2_mci.iloc[mask_mci]" ] }, { "cell_type": "code", "execution_count": 152, "metadata": { "collapsed": true }, "outputs": [], "source": [ "adni2_mci.dropna(subset=['sub1','age_scan','gender','mean_gm','tiv'],inplace=True)" ] }, { "cell_type": "code", "execution_count": 153, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "((237, 11), (237,), (237, 4))" ] }, "execution_count": 153, "metadata": {}, "output_type": "execute_result" } ], "source": [ "x_ = adni2_mci.iloc[:, adni2_mci.columns.get_loc(\"sub1\"):adni2_mci.columns.get_loc(\"sub7\")+1].values\n", "#x_ = scalerX.transform(x_)\n", "y_ = adni2_mci[['conv_2_ad']].values.ravel()\n", "\n", "\n", "confounds = adni2_mci[['gender','age_scan','mean_gm','tiv']].values\n", "#confounds = data[['sex','age_r']].values[mask_mci,:]\n", "#confounds[:, 1:] = scaler.transform(confounds[:, 1:])\n", "#confounds[:, 0] = preprocessing.binarize(confounds[:, 0].reshape(-1, 1), threshold=1)[:, 0]\n", "#confounds = scaler.transform(confounds)\n", "#x_ = crm.transform(confounds, x_)\n", "\n", "x_ = scaler.transform(np.hstack((x_,confounds)))\n", "\n", "x_.shape, y_.shape, confounds.shape" ] }, { "cell_type": "code", "execution_count": 154, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Level 1\n", "------------------------\n", "Ratio: 1.0\n", "# : 55.0\n", "# true values: 237\n", "ACC : 0.759493670886\n", "Level 2\n", "------------------------\n", "Ratio: 0.472727272727\n", "# : 26.0\n", "# true values: 44\n", "ACC : 0.590909090909\n" ] } ], "source": [ "array_results, dic_results = hpc.predict(x_, x_)\n", "\n", "# Level 1\n", "print('Level 1')\n", "stats_mask(y_, (dic_results['s1df'][:,0]>0).astype(float))\n", "\n", "print('Level 2')\n", "stats_mask(y_, (dic_results['s1df'][:,0]>0).astype(float), dic_results['s2df'][:,1]>0)\n", "#stats_mask(dic_results['s2df'][:,2]>0)\n", "#stats_mask(dic_results['s2df'][:,3]>0)" ] }, { "cell_type": "code", "execution_count": 155, "metadata": { "collapsed": true }, "outputs": [], "source": [ "y_pred = (dic_results['s1df'][:,0]>0).astype(float)\n", "lr_decision = dic_results['s2df'][:,1]" ] }, { "cell_type": "code", "execution_count": 156, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Total number of TARGET subjects: 55.0\n", "Total number of NON-TARGET subjects: 182.0\n", "Stage 1 number of hits (true and false positives): 76.0\n", "Stage 1 TRUE positives: 37.0\n", "Stage 1 FALSE positives: 39.0\n", "Stage 1 TRUE negatives: 143.0\n", "Total number of flagged HPC-AD subjects: 44.0\n", "Number of flagged HPC-AD subjects that are TRUE positives: 26.0\n", "Number of flagged HPC-AD subjects that are FALSE positives: 18.0\n", "Number of true negatives: 164.0\n", "#############################\n", "Stage 1 stats for TARGET vs NON-TARGET\n", "Precision for AD: 0.486842105263\n", "Recall (or sensitivity) for AD: 0.672727272727\n", "Specificity: 0.785714285714\n", "Adjusted precision for 33.6% baseline rate: 0.613692138445\n", "Accuracy: 0.759493670886\n", "#############################\n", "Stage 2 stats for TARGET vs NON-TARGET\n", "Precision for HPC-AD: 0.590909090909\n", "Recall (or sensitivity) for HPC-AD: 0.472727272727\n", "Specificity: 0.901098901099\n", "Adjusted precision for 33.6% baseline rate: 0.707490548709\n", "Accuracy: 0.801687763713\n" ] }, { "data": { "text/plain": [ "(0.67272727272727273,\n", " 0.7857142857142857,\n", " 0.48684210526315791,\n", " 0.759493670886076,\n", " 0.47272727272727272,\n", " 0.90109890109890112,\n", " 0.59090909090909094,\n", " 0.80168776371308015)" ] }, "execution_count": 156, "metadata": {}, "output_type": "execute_result" } ], "source": [ "predic_stats(y_, y_pred, lr_decision)" ] }, { "cell_type": "code", "execution_count": 157, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# copy data frame and mask\n", "df4 = deepcopy(adni2_mci)" ] }, { "cell_type": "code", "execution_count": 158, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/AngelaTam/anaconda3/lib/python3.5/site-packages/ipykernel/__main__.py:18: DeprecationWarning: \n", ".ix is deprecated. Please use\n", ".loc for label based indexing or\n", ".iloc for positional indexing\n", "\n", "See the documentation here:\n", "http://pandas.pydata.org/pandas-docs/stable/indexing.html#ix-indexer-is-deprecated\n" ] } ], "source": [ "hpc_df(df4, y_pred, lr_decision)" ] }, { "cell_type": "code", "execution_count": 159, "metadata": { "collapsed": true }, "outputs": [], "source": [ "df4.to_csv('/Users/AngelaTam/Desktop/adsf/adni1_vbm_adcn_subtypes_20171209/7clus/adni2_mci_hps_bl.csv')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## late MCI" ] }, { "cell_type": "code", "execution_count": 160, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# make dummy variable for LMCI\n", "for i,row in df4.iterrows():\n", " dx = row['DX_bl']\n", " if dx == 'EMCI':\n", " df4.ix[i,'l_mci'] = 0\n", " if dx == 'LMCI':\n", " df4.ix[i,'l_mci'] = 1" ] }, { "cell_type": "code", "execution_count": 161, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "observed freq: \n", "[[ 121. 16. 18.]\n", " [ 40. 16. 26.]]\n", "Chi2: 21.7879884457\n", "p value: 1.85694235913e-05\n", "degress of freedom: 2\n", "expected freq: \n", "[[ 105.29535865 20.92827004 28.77637131]\n", " [ 55.70464135 11.07172996 15.22362869]]\n" ] } ], "source": [ "tmp_df = chi2_fn(df4, 'l_mci')" ] }, { "cell_type": "code", "execution_count": 162, "metadata": {}, "outputs": [ { "data": { "image/png": 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z5zBgwAB07doVYWFhKC4uxsWLF4WkISgoSBhi8XDiUlaKMy4uDoC+5f/kyZPo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\ns45BRkHUF0DQOaAEulhHSRtVUeBu2sQ6BhklS9l06KyZNx1/RhYbgs4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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "hpc_pie(tmp_df, 'l_mci', path_results + 'adni2_mci_hpc_lmci.pdf')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## cognitive decline" ] }, { "cell_type": "code", "execution_count": 163, "metadata": {}, "outputs": [ { "data": { "image/png": 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277//CsfKnk+mb9++APJfkmUtdSIiqoqq1VIWiUSC5cuXF3q5TZGQkBDMmjUL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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "long_df_adni2_mci = pd.merge(long_data, df4[['RID','flag_status','f_s1_only','f_hpc']], how='left', on=['RID'])\n", "long_df_adni2_mci.dropna(subset=['flag_status'],inplace=True)\n", "long_df_adni2_mci.drop(long_df_adni2_mci[long_df_adni2_mci.Month==3].index,\n", " inplace=True)\n", "long_df_adni2_mci.drop(long_df_adni2_mci[long_df_adni2_mci.Month==18].index,\n", " inplace=True)\n", "long_df_adni2_mci.drop(long_df_adni2_mci[long_df_adni2_mci.Month==30].index,\n", " inplace=True)\n", "long_df_adni2_mci.reset_index(inplace=True, drop=True)\n", "plt.close()\n", "fig, ax = plt.subplots()\n", "fig.set_size_inches(11.7, 8.27)\n", "sns.pointplot(x=\"Month\", y=\"ADAS13\", hue=\"flag_status\", data=long_df_adni2_mci.dropna(subset=['ADAS13']), \n", " dodge=True, hue_order=[\"Negative\",\"Non-HPS+\",\"HPS+\"], palette=\"Greys\", ci=\"sd\")\n", "plt.ylim(0, 50)\n", "plt.show()\n", "#fig.savefig(path_results + 'adni2_mci_adas13_long.pdf',bbox_inches='tight')" ] }, { "cell_type": "code", "execution_count": 164, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# save dataframe\n", "adni2_mci_adas = long_df_adni2_mci[['RID','f_s1_only','f_hpc','Month','ADAS13']]\n", "adni2_mci_adas.to_csv('/Users/AngelaTam/Desktop/adsf/adni1_vbm_adcn_subtypes_20171209/7clus/adni2_mci_adas.csv',\n", " index=False)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## % progressors" ] }, { "cell_type": "code", "execution_count": 165, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "observed freq: \n", "[[182 39 18]\n", " [ 55 37 26]]\n", "Chi2: 32.2563477693\n", "p value: 9.89972381525e-08\n", "degress of freedom: 2\n", "expected freq: \n", "[[ 158.66386555 50.87955182 29.45658263]\n", " [ 78.33613445 25.12044818 14.54341737]]\n" ] }, { "data": { "image/png": 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UoQ4kWxHGzB3NvhZWY3CY80n85Q0KL+3zdij1qkkmQZLDiDFzV702ORUg+8RK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\nhzmX3AOX3x53CqxXm4rcHgJX4CPgBA/i3fsA0A/uZPFyMDe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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "tmp_data = {'conv_2_ad': ['-','+'],\n", " 'All': [182, 55],\n", " 'Base': [39, 37],\n", " 'HPS+': [18, 26]} \n", "tmp_df = pd.DataFrame(tmp_data, columns={'conv_2_ad', 'All', 'Base', 'HPS+'})\n", "\n", "obs = tmp_df.as_matrix(columns=['All', 'Base', 'HPS+'])\n", "chi2, p, dof, exf = scipy.stats.chi2_contingency(obs)\n", "print('observed freq: ')\n", "print(obs)\n", "print('Chi2: ', chi2)\n", "print('p value: ', p)\n", "print('degress of freedom: ', dof)\n", "print('expected freq: ')\n", "print(exf)\n", "\n", "plt.close()\n", "fig, (ax1, ax2, ax3) = plt.subplots(1,3, figsize=(10,6))\n", "ax1.pie(tmp_df['All'], labels=tmp_df['conv_2_ad'],autopct='%1.1f%%',startangle=90)\n", "ax1.set_title('All')\n", "ax1.set(adjustable='box-forced', aspect='equal')\n", "ax2.pie(tmp_df['Base'], labels=tmp_df['conv_2_ad'],autopct='%1.1f%%',startangle=90)\n", "ax2.set_title('Base')\n", "ax2.set(adjustable='box-forced', aspect='equal')\n", "ax3.pie(tmp_df['HPS+'], labels=tmp_df['conv_2_ad'],autopct='%1.1f%%',startangle=90)\n", "ax3.set_title('HPS+')\n", "ax3.set(adjustable='box-forced', aspect='equal')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 166, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "observed freq: \n", "[[39 18]\n", " [37 26]]\n", "Chi2: 0.828866424434\n", "p value: 0.36260051911\n", "degress of freedom: 1\n", "expected freq: \n", "[[ 36.1 20.9]\n", " [ 39.9 23.1]]\n", "observed freq: \n", "[[182 18]\n", " [ 55 26]]\n", "Chi2: 21.5753138052\n", "p value: 3.4020258523e-06\n", "degress of freedom: 1\n", "expected freq: \n", "[[ 168.68327402 31.31672598]\n", " [ 68.31672598 12.68327402]]\n" ] } ], "source": [ "# post hoc pair-wise tests\n", "obs = tmp_df.as_matrix(columns=['Base', 'HPS+'])\n", "chi2, p, dof, exf = scipy.stats.chi2_contingency(obs)\n", "print('observed freq: ')\n", "print(obs)\n", "print('Chi2: ', chi2)\n", "print('p value: ', p)\n", "print('degress of freedom: ', dof)\n", "print('expected freq: ')\n", "print(exf)\n", "\n", "# post hoc pair-wise tests\n", "obs = tmp_df.as_matrix(columns=['All', 'HPS+'])\n", "chi2, p, dof, exf = scipy.stats.chi2_contingency(obs)\n", "print('observed freq: ')\n", "print(obs)\n", "print('Chi2: ', chi2)\n", "print('p value: ', p)\n", "print('degress of freedom: ', dof)\n", "print('expected freq: ')\n", "print(exf)" ] }, { "cell_type": "code", "execution_count": 167, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "observed freq: \n", "[[ 143. 21. 18.]\n", " [ 18. 11. 26.]]\n", "Chi2: 47.0988884827\n", "p value: 5.92388084098e-11\n", "degress of freedom: 2\n", "expected freq: \n", "[[ 123.6371308 24.57383966 33.78902954]\n", " [ 37.3628692 7.42616034 10.21097046]]\n" ] } ], "source": [ "tmp_df = chi2_fn(df4, 'conv_2_ad')" ] }, { "cell_type": "code", "execution_count": 168, "metadata": {}, "outputs": [ { "data": { "image/png": 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uOjoaH374IT744AMIgoATJ05g8ODB6NKlCyIiIlBQUIDTp0+LSUP9+vXFIRYP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\n5aicTBsxFhLJWgVBtvOOkRexYAidTe/wjkHSpJRVwlF7Au8YfTLsFZN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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "hpc_pie(tmp_df, 'conv_2_ad', path_results + 'adni2_mci_hpc_progressors.pdf')" ] }, { "cell_type": "code", "execution_count": 169, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "observed freq: \n", "[[ 21. 18.]\n", " [ 11. 26.]]\n", "Chi2: 3.59474421974\n", "p value: 0.0579625476498\n", "degress of freedom: 1\n", "expected freq: \n", "[[ 16.42105263 22.57894737]\n", " [ 15.57894737 21.42105263]]\n", "observed freq: \n", "[[ 143. 18.]\n", " [ 18. 26.]]\n", "Chi2: 44.2572551032\n", "p value: 2.87935272255e-11\n", "degress of freedom: 1\n", "expected freq: \n", "[[ 126.44390244 34.55609756]\n", " [ 34.55609756 9.44390244]]\n" ] } ], "source": [ "# post hoc pair-wise tests\n", "obs = tmp_df.as_matrix(columns=['Non-HPS+', 'HPS+'])\n", "chi2, p, dof, exf = scipy.stats.chi2_contingency(obs)\n", "print('observed freq: ')\n", "print(obs)\n", "print('Chi2: ', chi2)\n", "print('p value: ', p)\n", "print('degress of freedom: ', dof)\n", "print('expected freq: ')\n", "print(exf)\n", "\n", "# post hoc pair-wise tests\n", "obs = tmp_df.as_matrix(columns=['Negative', 'HPS+'])\n", "chi2, p, dof, exf = scipy.stats.chi2_contingency(obs)\n", "print('observed freq: ')\n", "print(obs)\n", "print('Chi2: ', chi2)\n", "print('p value: ', p)\n", "print('degress of freedom: ', dof)\n", "print('expected freq: ')\n", "print(exf)" ] }, { "cell_type": "code", "execution_count": 170, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/AngelaTam/anaconda3/lib/python3.5/site-packages/ipykernel/__main__.py:1: UserWarning: Boolean Series key will be reindexed to match DataFrame index.\n", " if __name__ == '__main__':\n" ] }, { "data": { "image/png": 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WQg2aXC6Hr69vjlV/MpkMo0aNwvbt24WTf/ny5dGxY0f06tULbdu2Fdobk5OTsXTp0gIZ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\nZLVOLGMAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.hist(df4.dropna(subset=['Month_conv'])[df4.f_hpc==1]['Month_conv'].values)\n", "plt.xlabel('Months')\n", "plt.title('Conversion time in ADNI2 HPS')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## amyloid positivity (av45) in ADNI2 MCI" ] }, { "cell_type": "code", "execution_count": 171, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "baseline rate in NON-TARGET subjects: 0.448\n", "##########\n", "baseline rate in TARGET subjects: 0.9230769230769231\n", "##########\n", "number of subjects with VOI in the whole sample: 104.0\n", "total number of subjects with VOI data in whole sample: 177\n", "ratio: 0.5875706214689266\n", "##########\n", "number of subjects with VOI that are positive at stage 1: 48.0\n", "total number of positive stage 1 subjects with VOI data: 65\n", "ratio: 0.7384615384615385\n", "##########\n", "number of subjects with VOI in HPC-AD: 29.0\n", "total number of HPC-AD subjects with VOI data: 39\n", "ratio: 0.7435897435897436\n", "##########\n", "number of subjects with VOI in Non-HPC+: 19.0\n", "total number of Non-HPC+ with VOI data: 26\n", "ratio: 0.7307692307692307\n", "##########\n", "number of subjects with VOI in negative subjects: 56.0\n", "total number of negative subjects with VOI data 112\n", "ratio: 0.5\n" ] } ], "source": [ "compare_ratio_var(df4, 'SUMMARYSUVR_WHOLECEREBNORM_1.11CUTOFF', 'conv_2_ad')" ] }, { "cell_type": "code", "execution_count": 172, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "observed freq: \n", "[[ 56. 7. 10.]\n", " [ 56. 19. 29.]]\n", "Chi2: 9.66186572911\n", "p value: 0.00797907439736\n", "degress of freedom: 2\n", "expected freq: \n", "[[ 46.1920904 10.72316384 16.08474576]\n", " [ 65.8079096 15.27683616 22.91525424]]\n" ] } ], "source": [ "tmp_df = chi2_fn(df4, 'SUMMARYSUVR_WHOLECEREBNORM_1.11CUTOFF')" ] }, { "cell_type": "code", "execution_count": 173, "metadata": {}, "outputs": [ { "data": { "image/png": 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Xr/NJQ/369fkhFiUTl+JSnFFRUQA0Lf/h4eHo2LEjvL29kZeXh6ioKJ1kxt3d\nnf8A5uTklPmeAwIC+B6cdevW4dGjR3BxcUFoaCgGDhxY4e+rPGFhYfzNe/HvadiwYZUulObq6op1\n69Zh0qRJyMvLg0qlwsqVK/HTTz+hW7ducHV1RUpKCu7evavTs/Pyyy9j6tSpOueys7PDihUrMHXq\nVKjVaiQnJ+Odd95BYGAgAgIC4OHhgYKCAkRGRiIrK4s/bsyYMejdu3e13jexDFW5ZrRu3RorVqzA\nwoULoVarER8fj7Fjx6JVq1YICgqCSCRCbGwsX4AA0AzbW7lyJVq0aGHst2LVisvXbtu2DYCmYWfV\nqlVYvXo1goKC4OfnBw8PD0ilUqSnp+PBgwc6vbstWrTATz/9RMMxCKklK1eu1CmVn5OTg2XLlmHF\nihVo06YNGjZsCHd3d4jFYqSkpODRo0c6c+W6detW6bBpUnusKtkANF8a77//foXjr4v17t0bf/31\nFxYsWICYmBgAmmpSJ06cKLWvk5MTPvzwQ7z77rvlnm/06NEQiURYsWIFJBIJVCoVrly5orOPra0t\n3nvvPSiVSmzZsgUASn3B2draYtOmTfi///s/fkhQYWGhzgJU2vu+9dZbeOWVVzBu3DgAQExMDKRS\naakSkBMnTsTx48ehUqmgUqn492lnZ1ftZKN79+5o3LgxkpOT+cfKq0JVUuvWrbFnzx7MmzcPt2/f\nBqAZflLWfBZbW1u88847mDt3bplzT3r16oX169dj8eLF/OJpcXFxiIuLK7Wvvb09pkyZgtmzZ+sV\nJ7FsVblmvPbaa/D29sbixYv5FvHyWskCAgKwevVqnYIIxDhEIhGWLFmCHj164Pvvv+cLRXAcV2Er\npr29PcaNG4c5c+ZUqWQuIaRmHBwc8OOPP2L37t1Yv349X8mTYRh+TayyuLi4YOrUqZg+fXqNFw8k\nhmOV/xJTp07FqVOn9Boq1LZtWxw8eBBnzpzB2bNnERkZiezsbMjlcri5uSEwMBC9e/fG6NGj4evr\nW+n5Xn/9dfTp0we7du3ChQsXkJKSAolEAh8fH/To0QMTJ05EmzZtdMZzu7m5lTpPw4YNsXfvXuzb\ntw+nTp1CVFQUCgsLYWdnB3d3dzRr1gwdO3bEqFGj0KxZMzAMAx8fH2RmZkKlUuHIkSN44403dM7Z\noUMH/PXXX9i4cSPu3r2LwsJCuLi4lBq6VBXFa26sX78eABAUFKRTuacyjRs3xs6dOxEREYETJ07g\n1q1byMzMhFQqRZ06deDv748ePXpg9OjRCAgIqPBcwcHBOHnyJA4dOoRLly4hOjoa+fn5UKvV8PDw\nQOPGjdGvXz8MGzaMJoESHVXflmdpAAAgAElEQVS5ZvTs2RMnT57EkSNHcP78eTx48AC5ublQq9Xw\n8fFB+/btMXjwYAwePJi+DGvZwIEDERISghs3buDixYt48OABkpOTkZubC4VCATc3N3h7e8Pf3x8h\nISEIDQ2lSjaECGjMmDEYOXIkIiIicOnSJTx69AjJyckoKCiASqVC3bp1Ub9+fbRo0QIDBw5E//79\nqcytCRJxtVEHlVTZ/PnzcfDgQQDAu+++W2qSNyGEEEIIIaaOmtVqQV5eHn755Rc0adIE/v7+lZa4\nZFlWZ2IpVakhhBBCCCHmiJKNWuDo6IitW7fyk5cOHz6MoKCgcvc/dOgQv3K5ra0t1d8nhBBCCCFm\nyapK3wrFxcUF3bp147fnzZuns8heMY7jsG/fPnz66af8Y6+99hp8fHxqJU5CCCGEEEIMieZs1JJ7\n9+5h/PjxOuUU27Vrh8aNG8PNzQ15eXm4d++eTunVFi1aYOfOnTrrXxBCCCGEEGIuKNmoRVeuXMHC\nhQv5Em4Vefnll/HVV1/xCwsSQgghhBBibijZqGVyuRzHjh3DuXPn8PjxY+Tk5ECpVMLFxQVNmjRB\n165dMXz4cL1XLSaEEEIIIcRUUbJBCCGEEEIIMQqaIE4IIYQQQggxCko2CCGEEEIIIUZByQYhhBBC\nCCHEKCjZIIQQQgghhBgFJRuEEEIIIYQQo6BkgxBCCCGEEGIUlGwQQgghhBBCjIKSDUIIIYQQQohR\nULJBCCGEEEIIMQpKNgghhBBCCCFGQckGIYQQQgghxCgo2SCEEEIIIYQYBSUbhBBCCCGEEKOgZIMQ\nQgghhBBiFJRsEEIIIYQQQoyCkg1CCCGEEEKIUVCyQQghhBBCCDEKSjYIIYQQQgghRkHJBiGEEEII\nIcQoKNkghBBCCCGEGAUlG4QQQgghhBCjsBM6AFI1HMeCY+RgGQU49fP/M3KwjFzzf7UCHKsAx7EA\nxwLgAI5D0s1DYBQSiGxsn/9nBztHd9g514O9iwfsnZ//5+IBO62fbWwdhH7LhBAj0VxPFGDVcnCM\nDCwjf/7zf//nWBUATnNNAQeVTI7km3sgEtlo/rNzgJ2DK2wdXWHn6ApbRzfYOrjCztENDq7ecHRv\nBEe3BrBzdBX67RJCjIhjlDr3JJpriOK/+xNGDrBqcByH4nsTcVYKsmPOAyIbiES2sLF3gp2D2/Pr\niRt/XbFzdIeDmy8c3RrC0b0B3ZuYGUo2TBjHMmBUhWAUBWCU+WAUBWBVRQC4ap2LY1XPbxw01PIC\noCCpgqNEcHRvAGfP5nDxag4Xr0A4ewTA1sGl6m+GECIollGCUeSDUeY9/38hOEZejTNxAMeA4xjN\nlYhRgFEUAUUVH2Xr6AZHtwZwdG8Ip7qN4VK/JVy8AmFr71SNGAghQmJVUjDKfKgV+fz9CTh1lc/D\ncSw4lgHAgIMKrFoOtSy/kqNEsK/j9TzxaAjnek3g4h0E53r+ENnQgB1TRMmGCWEUBVAr8mqcWBgO\nB0VhGhSFachPuPz8sRIJSP2WqFM/iD7ghJgQjmPBKAvBKPKe/5cPVi0RNCZGUQSpogjS7Nj/HhTZ\nwKleE9Sp3xIu3kGo4x0EJ/dGwgVJCCmFZRRg5LlglAXPGyrydRouax8HlSQbKkk2xOn3+Udt7Bzh\n4tUCLt6a+5I63kGwc3IXME5STMRp+rOIADiOgVqWDbUsAyppRjVbGfXz7PoBTeujEdg6uMLdrxPc\nG3eDe6NO1PNBiABYtRwqaRpU0jQw8jwArFFeRyVXIPnGP0Y5NwA41PGGe+MucPfrCtcG7WBja2+0\n1yKElI1RFkElTYdamg5GWVlPQ/UVZaYgO/qckc4ugrNnM9Rt3BXujbvC2bMZRCKRkV6LVISSjVrG\nMgqopZlQydKhlmUBHFMrr2vMZEObyMYOrr5t4d64G+o27goHV2+jvyYh1opVy6CSpEElTQWjyKuV\n1zR2sqHNxs4Rrg06oG7jLqjbpDu1UhJiJBzHgVHk8QlGbfWEGjfZ0GXv7AH354mHW8MONO+jFlGy\nUQs4Vg2VJAVKcTIYRa4gMdRWslGSk4c/PJr1gVdgMN0oEGIArEqq6cGQpBq1xbE8tZlsaBPZ2MLd\nrws8AwfA3a8LRDa2tR4DIZaE4zgw8hwoJSlQyzLAMYpaj6E2kw1ttg51UC+gN7wCg+FSv0Wtv761\noWTDiBhlEZRFiVCKk6o1ccqQhEo2iols7FHPvyfqtxqMOt5BgsVBiDniOBYqSSqURQm11oNRHqGS\nDW12TnXhEfASPFsEw9nDX9BYCDE3LKOESpwEZVGi4HO5hEo2tDnVawrPwAHwbN6PGkWNhJINA+M4\nFmppOhRFCWDkOUKHwxM62dDm7NkM9YMGwaNZX9jYOQodDiEmi1XLnzdYJArS6lgWU0g2tLl4B8Gn\n7XDUbdINIhEVqiCkPIyiAIrCeKikqc9L4wvPFJKNYiIbW9Rt0h0+7YbDxStQ6HAsCiUbBsIyCigL\nE6AUPzPqRO/qMqVko5iNvQs8A/vDu9UQOLo3EDocQkwGoxJDUfAEKnEKjDXRu7pMLdko5ujeEN5t\nhsEzsD+NxSbkOY7joJZlQFEYb1INoMVMKdnQ5tqgA3zbj4BbwxeEDsUiULJRQxyrgqIgDorC+Fqb\n7F0dpphs8ES28AocAN+OY+Dg4il0NIQIRq3Ih6IgFmpputChlMtUk41idk51Ub/VK/BuPYQq4xGr\nppKkQp4fDVYlFjqUcplqslHM2bM5fNuPQN2mPajntAYo2agmjmOgLEyAoiBW4HrT+jHpZOM5ka0D\nvFu/Ap92I2m1YWJVGJUY8tyHUMsyhQ6lUqaebBSzdXSDb4dRqB80GDa2tKQUsR5qeS7keY8En9+l\nD1NPNoo5uvuhUZcJqNukm9ChmCVKNqqI4zioxEmQ50eb5HCp8phDslHM1qEOfNqNgHfrobCxo+EQ\nxHJxrAry/BgoC59C2AU89WcuyUYxB1dfNOw8DvX8e1GNfWLRGJUE8rzHUEvThA5Fb+aSbBRzbdAe\njbpOhItngNChmBVKNqpAJUmDPD/KpLsky2NOyUYxe2cP+L4wGl4tQqjMJbEofKNFXhQ41jQmfuvL\n3JKNYi5eLdCo61tw9W0rdCiEGBTLKKDIj4WyKAHm0mhRzNySDQCASATP5v3RsNObsKeh33qhZEMP\nrFoKWfZdqOXZQodSbeaYbBRz8vBH094z4eLZTOhQCKkxtSIP8pwHgqyRYQjmmmwU8wjog0bd3oG9\nc12hQyGkRjiO1cwZLXgieHn96jLLZOM5GztH+LQPg2+74RDZ0FDNilCyUQllUSJkuY/M9oNczJyT\nDQCAyBa+HcLQoMMo+lATs8Sq5ZDnPYZKkix0KDVi7skGANg6uKJR17fg1SJE6FAIqRZGWQRp9m2w\nykKhQ6kRc042ijnVa4omvWagDi0OWC5KNsphCb0Z2sw+2XiOejmIOVJJUiHNvmv2jRaAZSQbxdwa\ndkSTXtPhUKe+0KEQoheO46AsjIc8LwqmVha7Oiwh2QAAiETwbjMMDTu9CRtbe6GjMTlUx6sMyqJE\nFKVctJhEw5LI8xIRc2wx0u7+A441/xs3Ytk4loEs+y6kWbcsItGwNEVpdxF1+BPkxFrAzQ6xeKxa\nCkn6FcjzHsESEg2LwnHIenQYMUcXQJoTJ3Q0JoeSDS3FH2RZzj26MTBlHIOMe3sQfWwRpLlPhY6G\nkDIxyiKI0y5BKX4mdCikAqxKhqSrm5B46UcwKvOpMEisi7LoGYpSLoJRmN7CfOQ/8oJkxBz/FBkP\nDwodikmhZOM5lSwTRanh1JthRuR5iYg9vhg5sWeEDoUQHcqiRIjTLoFVmf/QRWuRl/AvYo4thCyP\nkkNiOlhGAUnmDchyLGMYplXgGKTd/hNPL3wHRikVOhqTQMkGAEVBHKQZ1wEzWJyP6OJYBklXtyD5\n+lZwrOmu4E6sA8eqIM269bx3lP4ezY2iMBUxxxcj5wkNqyLCYxQFEKeGQy1NFzoUUg0FSTcQfWwh\nZHmJQociOKtONjiOgTQ78vn4R5onb86yo08g7uwKqBXmtwYKsQyMIh/i1HCoJKlCh0JqgGOUSLqy\nCYmXN4BlqAGKCEMlzYA4/bJZLR5MSlMWpSPm+BLkxl0QOhRBWW0NUVYthzTrJhhFntChEAMRpz9A\nzLFFaBY8H871mggdDrEiKmkGpFk3AY4mbVqKvPiLUIoz0WzAPNg5ugodDjExjx8/rvD5wMBAODg4\nVOvcioK4542gxBJwjBLPIjZCmhMPvxcnQSSyvnZ+qyx9q1bkQ5p5w6paDCyl9K0+bOyd4f/SLNRt\n0k3oUIgVUIqTIMu+C2vpHbWk0rf6cHT3Q/OQRXB08xE6FGJCWrVqVeHzZ8+eRePGjat0To5jIc99\nAGWR9Qy7sZjSt3qq27QH/Pt8aHXlca0uvVJKUiChrkmLxqpkeHrhO2Tc3yd0KMTCKQriIMuOhLUk\nGtZIUZiC2BNLIM1+InQoxIJxrArSjOtWlWhYo4Jn1xB3ZjnUSonQodQqq+rZUBYlaiZuWiFr6tnQ\n5t3mVfh1e0foMIiAjDXcQZb7CMpC66unbm09G8VsbB3h3/cj6jElBseqpJBkXrfK6nXW1rNRzKle\nEzQPXQIHF0+hQ6kVVpNsKArjIc99KHQYgrHWZAMAvIJeRuPu70IkEgkdChGAoYc7cBwHWc5dqMRJ\nNQ3NLFlrsgEAENkioO9HqOffU+hIiIVgVBJI0iOsdrSFtSYbAGDv4oXAgUvgVLdqw+3MkVUMo1IU\nPLHqRMPa5cScQtKVn8DR5F1SQxzLQJp5w2oTDavHMUi4tBb5z64JHQmxANaeaFg7lTQHT04vg6Iw\nTehQjM7iq1EpCp5AnlfxMApi+TRl50Ro0msG9XBYmejoaIOch2MZSDKuglHkGuR8xExxDBIvrQH6\nzkG9pt2FjoaYKZYSDQJALcvHk9PL0OLlpRZdhMKiezYUhfGUaBBebtx5pFz/VegwiBniOPZ5qWxK\nNIgm8Uy8tBoFSTeEDoWYIVYtgzj9CiUaBICmhyPu9FIoJTlCh2I0FptsKIsSaegUKSU75hRSbv4h\ndBjEjHAcB1l2JNSyTKFDISaEYxkkhK9CYcptoUMhZoRlFJCkXwHHyIQOhZgQpSQLcaeXQSXLFzoU\no7DIZEMlSbPaqlOkclmPj1JZXKI3ed5DqCQpQodBTJAm4VgNae5ToUMhZoBj1ZBmXAOrtq6yp0Q/\niqI0xJ1eBrVCLHQoBmdxyQajLIA0+47QYRATlxa5CwVJN4UOg5g4RUEclIV0I0nKx6oVeHruG4se\nAkFqjuNYSDKvg1EWCB0KMWHygmQkhK8GxzJCh2JQFpVssIwCkowbAGdZ/0jEGDgkXl4HWT5VFSJl\nU0nTIc97JHQYxAyoZHmIP/8NGBUNjSFlk+c+ACOnhJRUTpx+Hyk3fhM6DIOymGSD41hIM2/SOEii\nN1Ylw9Pz31pklyWpGUaRD2kWjcUn+pPnJSIhfA04lkpsE11KcRKtDE6qJDvmFLKjTwodhsFYTLIh\nz3lAlWJIlSnFGUgIX2VxXZak+li1HJLM69RDSqqsKPUOUm7+LnQYxIQwigKaQ0qqJfnG7yhKs4y/\nHYtINhSFCVCKqdWAVI84/QFVqCIANJWnpNm3wTEKoUMhZio7+gTyE68IHQYxARyjhCTrJkALypLq\n4DQFKBSF6UJHUmNmn2yoZdmQ5z4QOgxi5rKjTyAn9ozQYRCBKQvjaFw1qbFnVzZDUZQhdBhEQJqG\nizvg1FKhQyFmjFFKkPDvWnCsWuhQasSskw2WUUCadQsAJ3QoxAIkX/8V0twEocMgAmEU+ZDnGWa1\ncWLdWJUUCZfWgGXM+waBVJ8iP4bW5iEGIcuJQ1rk30KHUSNmnWzIcu6DY5VCh0EsBMcyeBaxwexb\nEEjVcaz6+YRwGu5ADEOWE4e0O38KHQYRgEqaAUVBjNBhEAuS+fAwitLMdxSP2SYbSkkK1NI0ocMg\nFkael4h0WvDP6shzH9JCW8Tgsh4fpfV8rAzLKCHLjhQ6DGJxODyLWA+1okjoQKrFLJMNllFAnmO+\nGR4xbZkP9tNwKiuikqZDKX4mdBjEQiVd2wK1khJZayHPe0QjLohRqKS5SLqySegwqsUskw1Zzj36\nMBOjoeFU1oNVyyHLvit0GMSCqWX5SLu1Q+gwSC1Qy7KhEtNCscR4CpJuIDc+XOgwqszskg3N8Cnz\nLwNGTBsNp7IOsuxIarggRpfz5BzEGbQavSXjWIbW0yC1IvXWdrPrLTWrZIOGT5HaRMOpLJtKmg61\nPEvoMIhV4JB0dQtYRiV0IMRIFAWxNO+L1Aq1vABpd3YKHUaVmFWyQdWnSG36bzgVrSRtaTiOhTyX\nWppJ7VEUpiLj/l6hwyBGwCiLoCh4InQYxIrkxJ6GNNt8/ubshA5AX2p5DlWfIrVOnpeInCfnUT9o\noNChEANSFiZQKySpdZkPD8KjWT841W0kdCjEQDiOgyznLmq63teVm9HY+tcZRD1Jho1IhPat/TFj\n0ivo0Maf32fSrLV4FFN6TkhInw745rN3Kjx/Xr4YG387jktXH0KhVKFVCz+8P+VVnfNLZQos+/5v\nXL4RhSaN6mP+B6PQqX0znfPsORyBnfvC8c8v82Fra1bt1ZaF45B07RcEDV0Jkcj0/x3MJtmQ5z0W\nOgRipTLu7YZn836wsXMQOhRiACyjpBr4RBAcyyDtzl9oNmCu0KEQA1GKE8Eo8mp0jtv34jD701/Q\n3N8X700aAoZhsOdwBGbM24gt37+Pdq2bguM4JCRlon/v9gjp00Hn+AY+HhWeXyKVY/rcjcjKKcS4\nUX3h7uqC3YcuY+aCTfj9xw8RGNAQAPD7zrO4ficWM955BbfvxWHuF1ux/4/FcHN11rxXpRq//30W\nMycPpUTDBMhy45EdfQrerV8ROpRKmUWyoZKm1/jDTEh1qWR5yIo6Bt/2I4UOhRiAIj8GHFuzsfP6\ntELq05JYnsgHT7Hxt2N4HJsMd1dn9O/dHtPeHox6devw+1ArpHkqSLoOSVYM6ngHCR0KqSGOZaDI\nr3nDxapNB+HrXRe/rf0QTk6aRq2hA7th7NRv8dPvx7H+m+lIzciFVKZA/17tMCS0a5XO/8eu80hM\nzsJP381Alw6BAICB/TsibNLX2PbPBSydPw4AcDr8Ll4f1hsTXu+PkUN6YNCYL3D5+mO8EtIFALD/\n+FU4OTlgcHDnGr9nYhjp93bDM3AAbO2dhA6lQib/7cNxHOR5UUKHQaxc5sODUCvEQodBaohRiaEs\nSqjROYpbIcUSGd6bNART3xqE5LRszJi3EQ+jNOt1FLckngm/i1HDemH6xFeQlV2ImQs2IS6h4uGg\nt+4+wfsLN+FZchYmvRmKMcNfwrlL9zDtkw0oLJLy+2m3Qjb09cDcL7aiSCzjny9uhXx3wiBKNExM\n6m1aWdwSKIsSwDGKGp2jsEiK2Pg0DOzXkU80AMDLww2dXwjEvUcJAID4hAwAQEBTnyqdn+M4HDtz\nEy91b80nGgBQ39MdH/3fMHTWaqDIyi5AowaeAIA6Lk6o514HmdkFAACFUoVtu85hKl1PTAqjKELW\n46NCh1Epk/+LUUmSwarMc8VEYjkYpQSZDw8KHQapIc2k8JqNrdZuhRw/qh/eHhOMrWs/hLOjA376\n/TiA/1oSf1g2GdPeHow3w/pi8w8zAQDb/rlQ4fm/33gANjY2+GX1B3h3/EBMejMUm76bieS0HPy2\n8yy/n3Yr5LIF4yGVK3H5+n/DTakV0nRJMh+jIPmW0GGQGuBYBorCuBqfp46LE3b/Oh/jRvUr9Vx+\ngQS2trYAgPhETcn/gCa+AACZXL8kJzUjF5nZBejRRdOTxnEcpDLNsaNfewkjh/bk961Xtw7EEk2D\nBcuyEEtkfG/qviNXUMfFCS8P6FSdt0mMKOvxEZMvhWvSyQbHMZDnRQsdBiEAgKyo41BJc4UOg1ST\nWpYNtSyjRufQpxWyKi2JJaWm5yIuIR1DQ7uicaP6/OMBTX3Qt0dbHD1zk3+MWiHNW9qdv8BxrNBh\nkGoyRK8GANja2qCpnze8verqPB4bn4p7jxLwQlvNsMv4xHTUcXHEmi2HMGDkEvQfsQRhk77GqQt3\nKjx/Uko2AMCjnit+/PkwQkZ9hgEjl2DUpK9x6epDnX07d2iOI6duID4xHTv3hUOlZtC5fXPIFSps\n230e704YBBsbup6YGkYpQdbDw0KHUSGT/qtRFiaCY2SV70hILeAYJdLv7RE6DFJN8vyaN1zo0wpZ\nlZbEkrJyNMlCYECDUs81buSF/AIJMjLzAVArpLmT5ychPyFC6DBINRiqV6M8UpkCX373NwDgnbEh\nAID4xAxIpAqIxTJ8Me9NfPbxG3BxdsSnX/+JY2fK7yUrHlq5+Y+TuHz9MT55bwS+nDcOTk4OmLf0\nd1y//d+ckxmTXoFKxeDNad9j3a9H8eHUYWjiVx97Dl2Gu6sLBvXvaLT3TGomK+oY1PJCocMol8lO\nEOdYNRQFsUKHQYiOnCfn4dN2OBzdS98MEtPFKArAKGreK1XcCllScStkz65BpVoS9x+7BolUjsYN\nvTBnxnD07dmu3PM7P+8tKU5OtBU8n6+Rk1cIX596fCvkS93b4MqNqFKtkLOnDadWSBOX8fAgPJr1\nEToMUkWG6tUoi1yuxCdfbEVsfComjQ1Blxc0vaMjh/QAy3IYM/wlft9BAzpj3PTv8eMvRzA4uHOZ\nvZgqlWadqCKJDHt+XQB3NxcAQN+ebRE26Wts+O0Yuj9vGPFr4IVdP8/Dk4R0eHu5o76nO2RyBbbv\nPo+574fBxsYGx87cwm87z0ChVGHYyy9iKvV2mARWLUfGwwPw6zpR6FDKZLJ/IUpJMi3gR0wPxyAr\n+oTQUZAqUhTGG+3cJVshq9KSWFKzpr6o4+KEc//eB8f9N7dEoVTh6s3o5z+rAVArpCWQ5yWiMCVS\n6DBIFRizV6NILMOsxVtw624cXhvcHe9NHsI/9/qw3jqJBgA4OdpjSGgX5OYV4emzsoeIFjdgBL/U\ngU80AMDN1Rn9erZFVGyKTuOGvb0d2rRsjPqe7gCAfw5ehkc9Vwzs1xFxCelY+v3feGNEHyz6aAz+\nOfAvDp24brD3T2omJ+YMGKW08h0FYLI9G8rCRKFDIKRMefEX0ajzONjYOQodCtEDyyigkqQa5dxl\ntUIWD2nQpyWxJHt7O4x/vR9+3n4Kn33zFya9GQKWZfHT7ycgl2saX4pbL6kV0jJkPjoEdz8a7mYu\njNWrkZtfhA8X/4yYuFSEDe2JhR++DpFIVOlxnvVcAZTdGwoA3vU1SYPH8/20edRz5Yd5ujiX/j6T\nyhT4c+9FLJg1CiKRCGcv3UXjhl580hParyNOXYyscGgoqT2sWo6c2DPwaTdc6FBKMclvHbU8F6zK\ndMeeEevGKCXIe/qv0GEQPSmLEgEYfiJuea2QVW1JLOnd8QPxZlhfnAmPxPgZP+CtmathYyPC228E\nAwDqap2TWiHNnzj9AWR5z4QOg+iB4zgoCp8a/LwSqZxPNMaN6odFH43WSTQyswsw9v++wy87TpU6\nNiEpCwD4YhElBQY0gIO9HV/NSltqei4cHezgUbd0IgIAuw78i/qe7gjp8wIAIDdPrJO01HVzQXYO\n3auZkqzoE+BY0ys8YZLJRk3r4BNibNkxpS/6xPRwHGuU60lufhHem/8T7j5MQNjQnvh0zhj+5kDf\nlsTy2NjY4OMZI3D0r8+x5Yf3cXDbYvywdAokUgVsbWzQwLfs1YKLWyH/7+2XS7VC9urWim+FJKYn\nK+qY0CEQPahlmUYpWvPt+v2IiUvFmyP7Ys700q3SPvXrQiKV48DxaxBL5PzjGZn5OHr6Brp2DOQb\nHEpydnJE355t8e+1x4hL+C/hSEnPwaWrj9CvV/sy53qIJXLN9eStl/lrW31PN6Rn5vFDPFMzcktV\n0SLCUkmyUZB8s/Ida5nJDaPSDHmoeNErQoQmy31KqwCbAZUk1eBDHkq2Qpa8OahJSyIAnDx/B/U9\n3dC1Ywt4ebjxj9+5H4/WLf3g6GBf5nH6tELeoVZIk5T39BL8uk6ErYNL5TsTwWh6SQ3r6bMMHD97\nC651nBAU2AjHz5auLDUktCvmvh+G+Ut/x9Q56zBySE9IZArsPnQZtjY2mP/BKH7flLSc5yVzA+DX\n0AsAMGvqMNy+F4eZ83/C2JF9YW9vi10H/oWjoz1mas0L0fb3/nD4etfDgJfa848NeKkDft5xGstX\n74ZfA0+cv3wf894fVebxRDg5MadQr2l3ocPQYXLJhrLoGYwx5IEQQ8uOOUXJholTGmHIQ2WtkMUt\niRevPERcQjpfxra4JbF/77JbEovt3BcOuUKJHT99DLvnC3r9e+0R7j58ii/mvlnmMcWtkEtmj9Fp\nhfz32iNwHAeRSEStkCaMY1TIT7wCr5ahQodCysGq5VDLMg1+3tv3NJPNxRI5lv2wq8x9hoR2xYDe\n7fHdF5Pw+99nsf7Xo3B0tEeXFwLx/uShOquK37kfj2U/7MLnn4zlk41GDTyxde2HWPfrUezYcwEc\nB3Rq3wwf/t8wfh9tYokMO/dfwmefjNUZztWiWUN8OmcMfvnzNP6VK/HW6AEYPvhFQ/46iAEUpd2H\nojANju4NhQ6FJ+K0S54IjOM4FCWfpbU1jODZ9QNgFLQSuyGJbOzRbvQm2Dm6Vb4zqXVqeR4k6Yad\nW/P0WQbG/t93cK3jhI9njCgzaRgS2hWp6bmY/OFaANBpSZTJldi2fjb/BV9WK+S5S/ewcPk29Oza\nCsF9OiAtPRd/7QtHlxcCsfqrd8t8zV92nML5yw+wY+Mc/ubgydM0THhvFYa9/CL8Gnji179OY977\nozBySI8a/Q5UcgWSb/xTo3OQ0ur4tEHLwUuFDoOUQ54fC0V+lNBhWJyizBRkR58TOgyL49s+DA07\njxM6DJ5J9WwYazwkIfgPVUUAACAASURBVMbAsSrkPDkH33YjhA6FlEElNvykW31bIfVtSSyrFTKk\n7wtYvmgC/th1Hqs3HYSnhxveGjMAk8aGlDO2mlohLYEkMwqKokw4uvlUvjOpdSpJstAhEKK3vMQI\nk0o2TKpnQ5p1y2glKq0d9WwYh5OHP1oP+07oMEgJHMehKOkUrdVjBNSzYTwNOr6BBi+MFjoMUgKj\nyIc47ZLQYVgk6tkwnqChX8PFK1DoMACYUDUqjmOhkmUJHQYhVSLPS4RSki10GKQERp5DiQYxO3nx\ndENripTUq0HMUF5ChNAh8Ewm2WDkOQCrEjoMQqqsIMn0ysxZO5WUekiJ+VEUpUGa/UToMIgWjuOg\nEtP1hJif/MQrMJXBSyaTbKikGUKHQEi1FCaXLlVIhMNxHFSS0mVnCTEHBSm3hQ6BaGGUBeBYw68Y\nToixqSTZkGbFCB0GABNKNtQySjaIeRJnPASjosIGpoJR5tPNATFbRSl3hA6BaFHT8G5ixvKfXRU6\nBAAmkmwwykKwaqnQYRBSLRyrRlEqrcxsKtTUS0rMmDQnHipZgdBhkOfUcko2iPkqSrsvdAgATCTZ\noCFUxNzRvA3ToTLCwluE1B4ORWl3hQ6CAOBYBow8T+gwCKk2eX6SSTRemESyoZbS+Gpi3gpT7oBj\nWaHDsHqsWg5WKfyFlZCaKKShVCZBrcgBQNd1Ys44iNMfCB2E8MkGyyjAKPOFDoOQGmGUYkiyTWMi\nljVTy6kMMTF/Ral3wXF0kys0tYyuJ8T8FaULP5RK8GSDUVCiQSwDlawUHjVcEEvAKMWQF6QIHYbV\no/kaxBKITWDehvDJBg15IBZClhMvdAhWj1HQ9YRYBmq8EBbLKMAqC4UOg5AaU0qyoCgSdm40JRuE\nGIg0l5INIXEcR9cTYjGkOZRsCEktzxE6BEIMRujGC+GTDRpGRSyEojCN1tsQEKsSAxwjdBiEGITQ\nNwfWjgpNEEsiy0sQ9PUFTTZYRgGOkQsZAiEGxEGW+1ToIKwW9WoQSyLPfwaWUQodhtViVGKhQyDE\nYGR5iYK+vqDJBvVqEEsjpXkbgqFkg1gSjmUgy00QOgyrxSqLhA6BEIOx6p4NujkgloYmiQuHJocT\nS0PJhjA4jgWrlgodBiEGo5blC7q4HyUbhBgQTRIXBk0OJ5ZIIaYFb4XAqsQAOKHDIMSghOzdEHbO\nBpWVIxZGUZhG46wFwKolAKcWOgxCDEopcLlKa0XzNYglkucnCfbaAk8Qp8nhxNJwUElpLlJtY9VU\nBYxYHqFr41srmq9BLJFSki3YawuWbHCMEuBYoV6eEKNRy/KEDsHqcIxC6BAIMTilmJINIbDUs0Es\nkEpqhckGSzcHxEKpKNmodZRsEEvEqhVQyaintLbRMCpiiVSSXMFeW8CeDRpCRSwTJRu1jxoviKVS\nFNEk8dpG9yfEEimlOYK9tp1QL1zd+RqTZq3Fo5jSk1xC+nTAN5+9AwBISc/B2i2HcftuHADgpR5t\nMXvaa/Co51rp+fU5VipTYNn3f+PyjSg0aVQf8z8YhU7tm+mcZ8/hCOzcF45/fpkPW1vBF2oX3OKt\nMYhLLT2uvkfruvh4dAAAIDNPgW1n0vAoUdOq1KWlOyYObAT3OpX/mepzrFzJYOOhJNx5UogGno54\n9xU/tG6q+zdx6lY2jl7Nwur3WsPGRlSt96qSGibZWLduHdavXw8AiI6ONsg5LRX1bBBLpZZTIZXa\nxrFUbIJYHrU8Hxyrhsim9m/9BUs2qnNzwHEcEpIy0b93e4T06aDzXAMfDwBAfqEEM+dvgkrF4O03\ngsEwLHbsuYAnT9Pw+48fwt6+/Les77G/7zyL63diMeOdV3D7XhzmfrEV+/9YDDdXZwCAUqnG73+f\nxczJQynRgObfLSVbgRdbuaNH63o6z9Wvaw8AKJKqsWxHHNQMhxG9fcCwHA5fycSzTBlWTmkJuwp+\nj/oeu//fTNx/WoSxAxriUaIY3/6TgHUftEEdJ1sAgErN4sC/mXgzuEG1Ew2AejaEQMkGsVSMUiJ0\nCFaFYxkANJ+UWCCOg0qaBwdX71p/aeF6NtRV79lIzciFVKZA/17tMCS0a5n7/LU3HJlZBfhr8ydo\n1tQXANC+dVN8sGgLjp6+iZFDe5Z7fn2PPR1+F68P640Jr/fHyCE9MGjMF7h8/TFeCekCANh//Cqc\nnBwwOLhzld+jJcrKV0KuZNEtqC76dvAoc5+j17KQU6jCd9NboXF9JwBAi0YuWPFXPC7ezUNoF69y\nz6/vsVce5WNQ1/oY1tMboZ098e4PD3HnSSH6tNfEdOZODhzsbfjt6qIJ4rWPhlERS0XJRu3iqIQ2\nsWBqRZEgyYaAczaqfnMQn6CpzBHQ1KfcfU5fjESXFwL5ZAEAuncJgn9jb5y6GFnh+fU9Niu7AI0a\neAIA6rg4oZ57HWRmaxYUUyhV2LbrHKZOGES9Gs8lZWv+rf3qO5a7T8TDfLT1d+WTBQB4obkbGnk5\nIuJRxRMk9T02t0gFn3oOAABnR1u4u9gip1AFAFCqWRyMyMTrfX1r1KsBUM+GEKhng1gqRkUrWdcm\njlUJHQIhRsOqhfmuFK4aFVuNZCNRM1EuoIkmGZDJdc9RWCRFSloOWrf0K3VsqxaN8TgmudxzV+XY\nenXrQCyRPX8fLMQSGerVrQMA2HfkCuq4OOHlAZ2q+O4sV3KWphfL73kyIFcyOs+LZWpk5CvRvKFz\nqWObNXBGXFr5X7ZVOdbNxQ5Shea1WY6DVMHC3UUzhOr0rRw4O9jipfb1Sp2nqmiMde3iOA4cSwsp\nEsvEKKgyUm2iZINYMqFGAQg2jKo6a2zEJ6ajjosj1mw5hDMX70IqU8CvoRf+v707D5OrqvMG/r23\nbu17VVfvnV7TnT109p0QSEggQAwyLIIioo4goyioqOj4zvg4My+vMyM8zsvovIOyi2AGBWULQlhk\nCYEgCSELIWTrfa+u7d77/lGdTkIv6equ6nOr6vt5njxJOnWrvp10V+7vnN855yvXrse61Y1oaUvO\nLhQWeIdcWxBwoy8cQW9fP1zOoTemqVzbOLsGf3j6DSxfNB2vvvE+4gkVjbNqEInG8etHnsfXv3Qx\nZJmzGid83ByB3SLj188cxau7OhGJaSjyWXD5OcVYPtOP9p7km3vAbR5yrc9lRn9UQziiwjGwtuJU\nqVw7fYoTf36nHfPqPNixvxsJVcP0KS7E4hoef7UZnz2vFLI0sVkNIPXFhZ2dnTh27NiQj7e0tAz+\nevfu3UP+3OFwoLKyMvWAOSZ5c6CLjkGUEZzZmFwsNiiXaQkxA3MCi43Ubw4OfNSEvnAUvb39+OGt\nV6C3tx8PbXkJ3//J/UgkNJSXJnvzrVbLkGut1uTNaH8kNmyx0ReOjvnav712PW76zn/iii/dAVmW\n8LUvXoSKsgLc98if4XE5sPbsuSl/brns49YI+mPJm/4bL56CvoiKP77Rgp/97hBUVUdxINleZTEP\nLdAsSvLmPxLXhi02IjFtzNdesboY//jAAXzz7j2QJOCa80pRHLDi9682w2UzYenMic9qAICeYiG9\ndetW3HbbbaM+ZtOmTUM+tmjRItx7770pvVYumnh5SGRcWpzbsE4q7kRFOUxUG5W43ajGMRK5acNi\naJqOyy5ePvixtasbceWX78DPfvkH/PPtnwUAjDY4LY3wh/pA8TOWa8uKg3j4F7di38HjCAU9KAh4\n0B+J4t5HnsctN34KsizjyWe3478ffBbRWBwb1y3E9Z9Zm7ezHec1BqDpwPkLCgY/tnymD7fcvQf3\nPXdscOvb0W4aR1pGoQ18GY3l2kK/FT/92wYcao4g4DbD5zIjElPx+KstuG59GWRJwos72/G7l5sR\ni2tYPTeAS1cVpTzbwW0TJ1kaZqOIDItf3pOKMxuUy0Stb0y52BiuneNUtbW1sFiGzg4MMY6ZjUs3\nLhvyMZvVjA3nzsMv73sGdltyhDwaHfpmceJjTsfwi5Qd9tSuNZsVTJ9aPvj73/zPy/D7XDhv1Vzs\nP3gcP7rjIdxywyaUlxbg9p/ch8Kgd9SdsHLZ2vkFQz5mMctYOduP325rgs2SLMJiiaFfEyc+duIx\nn2RP8VrFJKOmxDH4+6febIPHqWDJdC8+bong549/jM+vL0OR34Kf/e4QAm7zqDthDUfXUpvZ2Lx5\nMzZv3jzk4zxnY6x4NzaZ9HG8d9NE5OcglSj8+p4cuq4PrLdTz/xgSpusaaMarp3jVM899xzKy8tH\nfUy6BQYO3ItEk3+Jre09Qx7T2t4Nt8s+WJB80olzOsZzbbg/ivsffQHfvmkzJEnCc9veQXlJcHAG\n5txVc/H0C2/nbbExkhMH7sXiyZvzzt6hhV5HTxxOmwk2y9AWKgAo8FrGfW0kpuL3f2nG9RvKIUkS\n/rKrE0V+y+AMzJLpXryyqzPlYoMD7ZNM4s1YOmmqCjWegBqPIhHrhxrpQzzSg3i4A/FwB9QYFyxP\nJr6fTC6J7ycAkpvfQNehazp0TRsoDLSBX6vQNRWamvxZ11ToagK6loCmJaCrcWjqiZ9j0NQ49EQc\nmhpN/j4Rg65yUw8hBHXYCGujGqmdaSTNrV246bb/xNqz5+L6q9ed9mcHP04upC0tDqC0OIA9+4bu\nOrVn35HTZiI+ye2yj/vah7e8hIKAB2tWzAEAtHf0nnbiuNftwI62/NyhqL07jh8/sB9LZ/jw6VXF\np/3Z0bbkdF6hz4JCnwUfHh96wvjBpv5hd5o6wWkzjfvaP77eCr/LjMXTkpsCdPUlTjtx3G1XsPvQ\nOPa4l4YvbihTeDc2VrquQ1M1qPE41FgEaqwf8UgvEv3diPd3Ih5uE9bTSyPhze+kyoLqTtf0kzf/\nug5d104WApp2sgDQ1GQBoCaLAU2LJ4sCNXGyCFDj0NQ4tESyENAHigFuupGbZNMYOo8yIOViI33t\nHKl9QxcWeNEXjmDLH1/DFZ9aBZczuY1qU3MnnnjmDcyfWztwwz8bD/5uGw4eah48j+P1tz7AR4db\ncPVlq0d9jfFc29sXwf2PvoDvff2ywQKqIODGS6/tgq7rkCQJR5vaEQoO3eUqHwQ8ZoSjGrbuaMcF\ni0NwWJM34q1dMbzwTjtmVrrgG7jhf/L1FhxpjQxukbvzQA+OtkVx0ZLRD6AZz7XhqIo/vNaCL11Y\nPvjv5nMpeGtvfPDfrbkzNuwuV2ciySw2JlOqAxe5TNd0aKqKRDwGNRaFGu1DItKLeH834v0diIfb\nuaYo2/Dre3JNcGZD13RoenJWAFpyhuBkMXCiANAGZgGSxYCuqoMzAcniIHZKERA7OUMwUBCMZzdP\nIiCLio20Gccb6C03fgrf+tE9uP7mO7FpwxL09UfxyOMvwyTL+NZXkz3v11x2Dp58djtu/M7/xVWX\nno1YLIF7H3ke06aWY8Oak6eOHznWhp27DmLOjCqUlQRTuvZUD/3uRRSFfFi9fNbgx1Yvn41f3PcM\n/vFfH0FZcQDPv/wubr1xaE9+vrhufRnueOQgbr9nH85tDKA/quGpN1shyxKu25A81+TipYV48d0O\n/MP9+7FxcSHiieR2tDUl9tNOHW/qiOKDw2HUlztQ5LemdO2pnnytBUGPGYsaThaBi6Z58dsXm3D3\nHw6j0G/B63u6cN36oeeunAmn4UWQkA8jcZqmQ0skW5zUaASJaBjxSA8S/Z3JNqdI57jWw5FxsZie\nXGo0ir62llNmBRIDBUEiefOvxgdnBvSB2YHBQiARA3SuQSDjkvKv2Eh99Hf1sln43z+8Fvc89Bzu\n+q8nYLWaMW9OLW78/AWDMxF+nwt333ED/vXux/Gfv34KNqsZZy+bhb+7fiMslpOf7o53D+B//Z+H\n8YNvXj5YbIz12hN6+/rx4O+24fZvXn7afwh11SX4/s2X4Zf3P4OXIjFc/enVuPj8hSl/vrliYYMX\nt1xWhS0vN+OB547BYpYxo9KJK88pGZyJ8DgV/P1na/Grp4/iNy8ch9UsY2GDF1efWwqzcvLmffeh\nPvzH7z/GVy6qGCw2xnrtCeGIiidfb8VXLqo47d9tSqEdX95YgUe3HUd0r46LloRwzlmBlD9fUd/M\neU2ScuImW1M1qIk41FgMarQfiWjvQDHRhVi4HWp06Joyym2yeeRWUEq/RLQXzbv+JDoGUUbIipj7\nE0kXtPVCuOUtxPuOiHjpvHTo9S28UZkkdn8VGjb+i+gYeaXroycNP6J4Yr2ElohDjUYRj4UHFl8P\nrJfoa4eWGLr2iPJb0exLUXLW5aJj5I2+lr3Y+6fviY5BlBF16/4erqIZk/664haIm4bf2Yko2yn2\n4Vu3KHMkWYGuii02dF2HmlChDSy+TkTDyZmJ/m7Ew+2Ihzu4hz+lTLG6RUfIKyYLZ5Iod8mKTcjr\nCis2ZJOYT5go08wOFhuTTTLZMn5YkaZp0BIq1HgMiWg/1GgYiWgP4v1dyfUS/Z1cuElpp9g8oiPk\nFcXKv2/KXWZBg6ECZzZYbFBuMtt9oiPkHdlkg4auCT2HqqrQ4mpy8XUsgkS0D4lI90Ax0Y5EJD+3\nryaxePM7uRSbB5LJwnMgKOdIsgmKXczOqAJnNthGRbnJbE99UTlNzFhmSgdbnOJRJKL9J4uJcCdi\n4XZo8fAkJCVKjcnGNqrJZnEEEe05JjoGUVopdr+w3TLFzWwI6hsjyjSFMxuTz2SFGk+2OKnxSLKY\niPScfr6EyvUSlH3Mtvw8o0kks5PFBuUeiyMo7LW5ZoMozcwOzmxMtv72Yzj0lwdExyBKK8lk5oYT\nAlicBaIjEKWdyPWkwk4fk2RlXGdtEBkd12xMPourSHQEorSzuop4qJ8AZoEjwESZIvLrWuhRx7LC\nLeYox0gmFhsCWN0sNij3WNzFoiPkJc5sUC4SOSgntNgwWbjLBuUWm688OWtHk0qx+3nSMuUcm7dU\ndIS8ZPNViI5AlHY2X7mw1xZcbHAEmHKLI1grOkJekiQJdn+l6BhEaWXz8qZXBLu/EmD7GuUYu2+K\nsNcWXGxwlw3KLY5AjegIecseqBYdgSitRI5E5jNZscLq5qwS5Q7F5hV6QKjYYsPKYoNyiz3IYkMU\nB4sNyiGSbGI7j0D2AGdKKXfYA1VCX19osSHJZsiKU2QEovSRTLD7xU1T5js7Z5Uoh9j91ZBNFtEx\n8hZnSimXiO66EFpsAJzdoNxh85Xz5kAgm7ccEv/+KUc4Q/WiI+Q1u79KdASitBFdPIsvNrhInHKE\n6JGDfCfJMheJU85wFjaIjpDXHMFaLhKnHCHBWThdaAIDFBuc2aDcwJ2oxHMViX1DJUoXR4jFhkiK\n1cXZDcoJNl85zHax99riiw2rDwBHDyj7Odj2IJy7ZK7oCEQTZnaGYHEERMfIe+6S2aIjEE2Yq1j8\n17HwYkOSFSg2cUeoE6WD2RGEQ/BuDwQ4C6dx3QZlPVfhNNERCIC7eI7oCEQT5i6eJTqC+GIDABRH\nsegIRBPiKZ8vOgIBkE1mtlJR1vOUzRMdgQA4i6ZBMplFxyAaP0mGq2iG6BTGKDbMjiLREYgmxFu+\nQHQEGuAu4WgkZS9JNsFT1ig6BgGQTRY4uXaGspgjWAuTxSE6hjGKDVlxQDa7RccgGhdZscFVPFN0\nDBrAYoOymbNwhiFuDiiJ7yeUzdylxljHaIhiAwDMbKWiLOUunQOZU+2GYfdXwuIMiY5BNC5etmQa\ninfKItERiMbNX7lMdAQAgCI6wAmKowjRrr2iYxCljC1UxuOrWo7m97aIjkEjaO6M4aa7do/6mB9c\nXYuZVS58eDyMB547hv3H+iHLwLw6D65aUwKfK7UC/7GXmrB1Rxvuuun0/mVN0/HLPx7GS3/tRMCt\n4Ko1pVg07fRtInfs68adWw7hrq9Oh8NmSul1U+Wp4PuJkdg8pbAHqtHf/qHoKEQpsfkqYPOVi44B\nwEDFhsnig2SyQlejoqMQjZ0kczGnAfmrWWwYmcdhwlcvmTLk47G4hv9+6gg8TgWVRTYcbo3gh7/a\nj4BbwadXFaE/quGJ11rwweE+/NP19bBZxnbj//b+bvz2xSYE3EP/y9v6djte2NmBS1cW4Xh7FP/2\n2EH89G+noThgHXzMIy8ex4WLQxkvNGz+SlhdhRl9DUqdv2o5iw2DSmXg4lQdPXF88+49WFDvwQ0X\nD30vGs1I1xpt4MJnkFkNwEDFhiRJMNuLEOs9JDoK0Zg5Q/VQbB7RMegT7P5K2LwViHR9LDoKDcNm\nMWHlbP+Qj9/z9BEkNB03bZoCl13B3U8chiwDf//ZusGZjJoSO/7poQ/x4rsdWDe/4Iyv9exbbfjv\np45A1fRh//zVXZ1Y1ODF5hVF0HQdOz/swau7OvGpFcmNS7Z/0IXj7TFsWHTm15qoQPXKjL8Gpc5X\ntQxH37ofwPBfQyTOWAcuPukXTx5GX0Qd12uOdK2RBi4AwF/FYmNYZlc5iw3KKoGaVaIj0Ah81ctx\n/O2HRMegMTrU3I8/vdGK1XMCmD4lOQqpyBJWzfaf1jI1fYoz+fimyBmf88f378fOD3sxt8aN7nAC\nvf2JIY9p74mjrjS5IFuWJIS8FrT1xAf//JEXm7BxSQgOa4ZvDiQT/Hw/MSSLswDOUD36WvaIjkKf\nMNaBi1O9uLMd7xzoGdfrjXatkQYu7IFqWD0lGX+dsTLMAnEAUGxByGaOElN2kM0O+DkSaVj+quWi\nI1AKHnr+OCyKjMtXn9ws5GubK3Hd+tN7jg8OFBlB75nXbLR0xfCFDWW47cpq2C3D/3fntpsQjp4c\npeztV+EZuDl5Y08XWrpi2LAw8zcHnrJGmO2+jL8OjY+vmu8n2WK4gYsTOnvjuOfpo9i8IvUjF850\nbXtPHIW+5KGyQgcukJyNMxJDFRsAYHFXio5ANCaB2rMhK9YzP5CEsLqL4CzkAX/Z4KOmfmzf2421\n84Pwu4cvIjp64nhtdyfu2vIR/G4Fa84KnPF57/hyA9bNL4AkSSM+ZkalC6+934X9R8N45b0OHG2L\nYla1C7qu45EXj2PjkhDsk3BzEKw7J+OvQePnr1oByWQRHYPGYLiBixN+8eRhFHjNuGRZ6mujznSt\nUQYuJNmMYK2x3k8M1UYFABZXOSIduwF96HQ3kZEU1J8vOgKdQWjaevQ1j754kMR7ZnsbZAlYv2Dk\n/4hv/o/30R/TIEvAVy+ZAq/zzDMbiunM42kbl4TwzoEefPf/JXdDvHBxAWZUuvCX3Z1o74lPys2B\nYvdxowmDU6wu+KtXoH3fVtFRaBQnBi42LgkNGbjY9m4Hduzrxo+vmwrFNPIAxHDGcu2MShe2vt2O\n1XMDaOqIChu48FUtNdxaUsMVG5KswOIqR6znoOgoRCNyFc+CzVsqOgadgbdiEcyOIOLhNtFRaASx\nuIZtf+3A/HovQr7hR45VTcd168ugmCQ8/047frblEDr7Erhw8cTPU3HZFfz481NxqCUCp9WEkM8C\nXdfx2xebcNGSQtgsJuw80IN7nz2KnnACi6Z5cfV5pbAo6WsMCFSvgiRn/iaEJiY0bQOLDYMbaeCi\nszeOXz19BBcvLUR1cWqHZo71WiMMXABAqGH9pLxOKgxXbACAxV3FYoMMraB+negINAaSbEJBw/k4\ntuMB0VFoBO991ItITMPS6d4RH2OSJayak2ybWjrDhx/8ah8e/vNxrDkrkJaRQlmWUFVkH/z9q7s6\n0dWXwPkLgugOJ3DHIwdxwaICzK114+ePfwyHtQlXnJOmxZdS8muUjM/ur4SzaAb6mnaJjkLDGG3g\n4pd/TO5MdenK1NdqjPVaIwxcOIJ1cBTUpe350sVwazYAwGRxw2QNio5BNCyzIwBvxULRMWiMglPP\nZa+1ge3Y1w3FJKFx6tim/SVJwpLpPkTjGo62pf9cJk3X8ei2Jly8NASbxYS39nZD13VcdnYxpk9x\nYU1jAK+815m21/NXLYPFxRPvs0Vo2gbREWgEIw1cvPxeB97Y04XPrClBf0xDdziB7nCyVT+e0NEd\nTiChDr+tcarXnhi4OFHsDDdwMX+qB1/bXIkd+3rw2LamtP4dFEwz3qwGYNCZDQCweKrQ38LWBzKe\nYN25bHnIIorVzV5rA9vzcR9qS+xDdmgJR1Tc9l8fYPF0L65ac3rLYv/AIkyLOf3jZa+814mefhXr\nBtowuvoScNpNMMnJPm23XUF7b3y0p0iBhMKZl6TpuWgyeMsXwuwsQLyvVXQU+oSRBi7e2Z/cqvZf\nfnNwyDWv7OrEK7s6hz34b6LXfnLg4i+72wcHLkyyhDWNATy/oz1ts6SKzQtf5dK0PFe6GbbYMDuK\nEVUc0BJh0VGIBsmKFcH6taJjUIoKp29E+/7nAZ2HchlJQtVxuDWKcxuH7izlsJmgKDJe2NmBi5cW\nDu6VH46oeP7tdhT6LCgvSO9ucJp24uagENaBQsbnUtATVhGJqbBZTGjujCEwwo5ZqfKUNcLuT+30\nYhJLkmUUTt+II2/eIzoKfcJIAxcXLy3EillDz+L48QMHMKfGhYuWFA578N9Er53cgQugcMZFkE3p\neW9KN8MWG5Ikw+prQH/rDtFRiAaFpl/IvfCzkM1XDn/VcnR8+JLoKHSK1q4YEqqOAu/wbW5fWF+G\nf7hvP37wq304tzGIhKrjubfa0NmXwHeuqB7c0razN453P+zFlEIbKk9Ze5GqbX/tQDiqYt38k228\nc2vcMMkS7txyCDMqXXhmeyvOH2XXrFQUztqUluehyRWsX4vmXb/nxhMGMtrARXnIhvLQ8AWB32XG\nnBr3iM873msne+BCsftQYMCF4ScYcs3GCWZnGWSLsbbvovxlsrpROONi0TFonIrn/g0gsf3NSHr7\nk+1Qdsvw/y4zKl347lU1cNsVPPj8MTz2UhNKglb86HN1mF198j/5I61R3PU/h/D6+13jzqJpOh4b\nuDk4tT3L5zLj5ksrcbQtike3NWHZTD82j2OR6Sc5Qw1wFU6b8PPQ5JNNZhTN3iw6Bp3iTAMXY9XZ\nG8e2dzvwUVP/HqjnVQAAEoJJREFUhJ7nTAMXT7zWgme2t2LZjPQMXhbN3ARZMe7aRMPObADJhYA2\n3zSEm18XHYUIRbM+BZMltS3zyDis7mIEa1ejbd9zoqPQgLoyBx7+/txRHzO72n1aYTGcmVWuMz7P\nDz87+g4tsizh328c/hDIxjoPGuvSO/BV0nhVWp+PJlew7hw0v/c4Yr3pXeBL43OmgYuxOjFw8emV\nReOeJT3TwMWvnzmK3Yf60jZwYXYEDd/eLem68ZuYe4+9AjXK6cqJOPT6FqjRHtExspbZWYDpl/y7\nYfshaWxifa3YveVr0LX09ckSpcpbsQjVq28RHYMmqP3Aizj08l2iY1CeK198veG34zd0G9UJNv/w\no01Ek6V4zmUsNHKAxVlg+BEgym2SbELpvM+IjkFp4K9eAau3THQMymMWZwjBujWiY5xRVhQbis0P\nxVEsOgblKZu3HIGas0XHoDQpnr0ZJsvQbQqJJkOw/nxYPWk6EJCEkiQZpfOuER2D8ljpgs9Bkg29\nIgJAlhQbAGDzTQMgiY5Beaj4rCsgyVnzrUJnoNg87JcnIUwWJ4rnfFp0DEojb/k8eCsWiY5BechT\nNg++KdnxtZc1d1AmixsWd5XoGJRn3CVzs+abmcYuOPVcOAqmio5BeaZozqehWDmrlmvKFl4LWUnv\nmS9Eo5FMFpQtvE50jDHLmmIDAGz+aZAVp+gYlCdksx0VS78sOgZlgCRJKF/8RUDKqrdAymKOYB1C\nDRtEx6AMsDgLUDznMtExKI8UzdoEq7tQdIwxy6r/aSVZgb1g9O0NidKlbP41sDjTc3gXGY8jUIWQ\ngQ9BotwhyQoqln2F7Zg5LDT9Qth8PA2eMs/qLkHhzEtEx0hJ1r3zKbYgLO5q0TEox7lL5iI49TzR\nMSjDis+6HGbH0BNnidKpaPalsPsqRMegDJJkEyoWfxFcW0qZJaF88ReybnfMrCs2ALZTUWaxfSp/\nmMx2TFl2A3iDQJli91ehaNYm0TFoEjgLGxCafoHoGJTDQtM2wF0yR3SMlGVlscF2Ksoktk/lF3fJ\nHIRmbBQdg3KRZELFshsgyRM71ZiyR0njVWynooyw+StRkqVn9GRlsQGwnYoyg+1T+am08UrYAzWi\nY1COKZn7N3AEqkTHoEkkm8yoXHETJDm72lzI2CSTGZUr/i7r2qdOyNpiA2A7FaWXyeJk+1SekmQF\nlSv/jttXUtp4yuahkO1Tecnur0TpAh72R+lTOu+arF73ldXFhiQrcBQtAiTjn55IBifJqFp5M9un\n8pjNU4qyBZ8XHYNygMUZwpTlX4UkcS1Qvgo1rIeXZzRRGnjKGhGalt07J2Z1sQEAJrMLjtA80TEo\ny5XOvwbu0uxbdEXpFZy6Bv6aVaJjUBaTZAVVZ3+Dh/cRKpZ+BVZ3iegYlMUs7iJMWX6T6BgTlvXF\nBgCYHUWw+aeLjkFZKlC7GoXTLxQdgwyiYsmX4AjWio5BWapswef49UMAAMXiRPWab8NkYbs3pU42\n21FzzrdzYuAiJ4oNALB662B2louOQVnGGWpA+eIviY5BBiKbLKhafSsUu090FMoy/pqzUdBwfkrX\n3HnnnWhoaEBDQ0OGUpFINk8pqlZ9A5C4IxmlQJJQtfLrsHlz4742Z4oNALAH58Bk4Q0CjY3ZEUTV\n2d+EbOKaHzqdxRFAzepvQTZxwTiNjatoJiqWcIMJGspdMhvli7gejMaudN7V8JQ1io6RNjlVbEiy\nCY7ChZB4g0BnIJksqF59K8wcvaYROArqMGXFV8ED/+hMrJ4yVK2+hQMXNKKC+nUoaMjuRb40OQK1\nq1E44yLRMdIqp4oNAJAVGxyFCzllSaOQMGXZDXAEea4Cjc43ZTHKFnxOdAwyMLMjgNrzvgeFffl0\nBmULroWnjBva0MjcJXNTbu3OhlbMnCs2AECx+uEsXAhIOfnp0YRIqFjyRfirlokOQlkiNP0ClDRe\nJToGGZDJ4kTNud/jltk0JpIso+rsb8Bdwp0PaShnqAHVOTpDmnuf0QDFHoIjtADh5jcBaKLjkEGU\nLbyWJ4RTyopmbYKWiKLp3UdFRyGDkM121Ky5bcwHbXV2duLYsWNDPt7S0jL46927dw/5c4fDgcrK\nyvEHJUORB1p492/9CfqadomOQwZh91ehes13cvZg2ZwtNoDklriO0DyEW7YD0EXHIcFK5n0GoWkb\nRMegLFVy1uXQ1Bhadv1edBQSzGRxombNd+EMTR3zNVu3bsVtt9026mM2bRp64viiRYtw7733ppyR\njEtWrKg55zs48NyP0deyR3QcEszmr0Tt2ttzuhUz5/uMzM4SOELzkQefKo2idN7VKJp5iegYlOXK\n5l+T8tamlFtMFhdqz7s9pUKD6JNMZhtq1tzGM1nynM1bgbrzbodidYuOklGSrut5MeQfDzch3PIm\noOdnS9Wh17dAjfaIjiGAhLKFn0doGncBofTQdR1H37qPMxx5yGR1o+6822EPVKXtOe+8807cdddd\nAIA9ezjKnW8S0V4ceP6fEG75QHQUmmSOgqnJQ/tsnjE9fqRWzAcffBAPP/wwAGDLli1DX8cArZg5\n3UZ1KrOjCM7CRehrfgPQVdFxaDJIEioWf5FrNCitJElC2fxrYLb7cXT7vWCLZn5QbF7Urv3BmNdo\nEI2FYnWh7rwf4OC2f0P34TdFx6FJ4imbh6pVN6e0RiObWzHzqrdIsYfgLF4KyWQTHYUyTFasqFr1\nDRYalDGFMzaicsVNkOS8GbPJW1ZvGaau/0cWGpQRsmJB9dm3IFi/VnQUmgSB2tWoXn1rzi4GH07e\n/S+pWP1wlaxEuPkNqLFO0XEoAyzOEKrP+Rbsfu7gQpnlr14BxebFhy/cAS3eLzoOZYC7ZC6qVt0M\nk8UhOgrlMEmWUbH4izA7gjj+9kOi41CGFM36FEoarxzXtZs3b8bmzZuHfDwbWjHzambjBFmxwVm8\nDGZnuegolGbOohmov+AnLDRo0rhLZqNu3Y9g5lkLOSdYvw41a77DQoMmTfHszahYdgNnTHOMJJtQ\nvvj6cRca2S4viw0g+Q/vCDXC5p8hOgqlSbB+LerO+/6YF1sRpYsjUIWGC/8Z7pK5oqNQOkgyyhZc\ni4rF10OSTaLTUJ4J1q5ODmA4gqKjUBqYHQHUrfsRCurXiY4iTN7sRjWa5E5VbwF6QnSUjMnl3agk\n2YSyhZ/P629kMgZd13D8nUfQ9O5j4MLx7KTYvKhcfhPcpTzlmcRKRHvw0Us/Q8/Rd0RHoXFyFc9C\n1cqvZ3QQlG1UWcLsKIKrdCVkJXcPVMlVitWD2vNuZ6FBhiBJMkrOuhzV53wbphw+oClXuUvnomHj\nHSw0yBAUqxs1a25D8ZzLAEkSHYdSIqFw5ibUnstuC4DFxiCT2QVX6dmweKpFR6Ex8k5ZgmkX/xSu\nIrbCkbF4y+eh/oJ/hqOAB79lA0k2oXTe1ahZ812Y7V7RcYgGSZKM4rmXoXbN96BYedOaDUxWN6pX\n34rSeVdBknmbDbCNaliJSBv6W9+BlugTHSVtcqmNymR1o2Lx9fBVLhUdhWhUuqahZfcfcOydh6Gr\ncdFxaBgWdxGqVn6dJzmT4SUi3Tj8+n+h86NXRUehEXinLEb5ous5aPEJLDZGoGsJRDreR6znQ9FR\n0iJXig3vlCWoWHw9pyUpq0S6juDQKz9HuHWv6Ch0giQj1LAexWddAZOZZy9R9ug89DoOv/5LJPq5\nfb9RKFYPyhZdB3/VMtFRDInFxhkkZznehpYIi44yIdlebJisbpQv+gK/kSlr6ZqG5l2P4/g7j0DX\nOMshkj1Qg4olX4IjWCM6CtG4JKK9OPLmPeg48KLoKHnPV7kE5Ys4CDoaFhtjcHKW4yCydYeZbC42\nvFOWoHzRFzgtSTkh0n0UR9/8NbqPvCU6St6RFRtKzroCBQ3r2UtNOaH7yFs4/MY9iPUcFx0l71jc\nRSiddw18UxaJjmJ4LDZSoMZ6EOl8H4lw9n1TZ2Ox4Qw1oGTeZ+AqnCY6ClHa9RzdiSPbf4VI58ei\no+QBCb7KJSid/1lYnDy7gHKLriXQsucpNO18FGqsV3ScnGeyOFE0ezMKGjZANvHwxbFgsTEOiUgH\nIh27oUbbREcZs2wqNmy+CpScdSW8FQtERyHKKF3T0LbvWRx/+zdIRLtFx8lJ7pK5KGm8ki1TlPMS\n0V40vfsYWvf8CbqWu+eGCSOZUFC/FsVzL4NidYtOk1VYbExAPNyMSOduaDHj3yRkQ7FhdoZQMvdv\n4K9ZCUliiwPlDzUWRvN7j6Nlz5+gxbN7fZhROAqmoqTxSriLZ4mOQjSpoj3HcWzHA+j86DVka+u3\nsUjwVixESeOVsHnLRIfJSiw2JkjXdcT7jiLa+b6hF5EbudhQrB4Uzd6MYP06TklSXlNjYbTueQot\nu5/gTMc42QPVKJp9KfuoKe9Fug6j+b3H0fHhNuiaKjpO1pFkE3xVK1A06xLYvOWi42Q1Fhtpousa\nEuHjiPYchBoxXnuVEYsNm78SBfXnw1+9gltPEp1CS8TQtvdZNO/6PeJh472fGI4kwVM2H4UzNvKQ\nT6JPiPW1oWX3E2jb+yy0RER0HMOTTVYEpq5B4YyLYHEWiI6TE1hsZIAa60Gs5yBivYcB3Rh9k0Yp\nNiTZDF/lYhTUnw9nYYPoOESGpqkJdH70Ktr2PYe+pl2i4xiOrNgQqF2N0LQLYPUUi45DZGiJaC9a\nP3gabR88w0GMYZidIQTrzkFB/TpuY5tmLDYySNcSiPUdRqz7I2hxsS0RoosNizOEYP1aBOvW8JuY\naByi3cfQtu85tO9/AYlIl+g4QjmCdfDXrIS/ZhUUi1N0HKKsousaeo6+jba9W9F9ZHtet1hJshne\nKQsRrF0DV8ksrhfNEBYbkyQRaUe892PE+5ugq9FJf30RxYbJ4oS79Cz4q1fAU9bIb2KiNNC1BLoO\nb0f7/j+j5+jOvDkg0OIuhr96BQLVqziLQZQmiUg3Og6+go4DLyDctl90nEljD1QjUHsO/NUroFhd\nouPkPBYbk0zXdaixLiTCxxEPN03ajMdkFRsWVxG85fPhqVgAV+F0SLIp469JlK/UeD+6D29H56HX\n0HNsJ7R4v+hIaWVxF8NTNg/+qmVwhupFxyHKadHeZnQffgvdh7ejt2lXTg1kSLIJrqKZ8JTPh7d8\nASyukOhIeYXFhmBaIox4uAmJ8HEkIm3I1DZ1GSs2JAmOYB285QvgqVgAu68i/a9BRGekqQn0Ne1C\n15G30Ne0C/2dHwFZ9vYuKza4iqbDVTIHnrJG2DyloiMR5SU1HkHPsZ3oPrwd3Ud3INHfKTpSyhSb\nF+6S2fCUL4Cn9CyYLA7RkfIWiw0D0bUE1Fgn1GgX1FgX1GgntERfWp47XcWG2VkAR6AG9mANHIEa\nOII1XINBZEBqLIy+1g/Q1/w++pr3oK91L3Q1JjrWaSzuIjgCtXAEa+AI1cNZUAdJ5vbXREYT7WlC\nX8sHCLfuRV/rXkQ6DhprrYckweYpg6OgDs7QNDiLpnGwwkBYbBicrsUHCo+BAiTWBS3RD+ipfZOn\nWmxIJgvMDj/svkoWFkQ5QNcSiHQeRqTrCCLdRxDtOoJI1xFEu49lvF1CsXlhcRXC4iqE3V8JR7AG\n9kANe6WJspSmxhBuO4D+joOIdh9HrOcYot3HEe1tTvn+JCWSDIsrBKu7FFZPCWyeUli9ZXAEa2Ay\n2zP3ujQhLDaylK4loKkR6GoEWiKa/FlN/qyrUei6BkAHdA26ruP4X7dCS0QhyaaBHwoUqwdmuw+K\nww+zfeCHww/F7ucOL0R5Qtc0xPqaEe/vRCLSNfCjG4lIF+L9XdDiYeiaCl3XoOsqMPhrDbLJApPF\nAZPZDtnsgMnsSP7e6oJ1oLiwOAshKxbRnyYRTQJdUxHrbUG05xjikS6o0V6o0V4kYsmf1Vgv1Hh/\nssVTkk5eOPBr2WSBYnXBZHVDsboHf1asroEBi2Ie/puFWGwQEREREVFGcC9SIiIiIiLKCBYbRERE\nRESUESw2iIiIiIgoI1hsEBERERFRRrDYICIiIiKijGCxQUREREREGcFig4iIiIiIMoLFBhERERER\nZQSLDSIiIiIiyggWG0RERERElBEsNoiIiIiIKCNYbBARERERUUaw2CAiIiIiooxgsUFERERERBnB\nYoOIiIiIiDKCxQYREREREWUEiw0iIiIiIsoIFhtERERERJQRLDaIiIiIiCgjWGwQEREREVFGsNgg\nIiIiIqKMYLFBREREREQZwWKDiIiIiIgygsUGERERERFlBIsNIiIiIiLKCBYbRERERESUESw2iIiI\niIgoI1hsEBERERFRRrDYICIiIiKijPj/qEMuOpiHJ/oAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "hpc_pie(tmp_df, 'SUMMARYSUVR_WHOLECEREBNORM_1.11CUTOFF', path_results + 'adni2_mci_hpc_av45_pie.pdf')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## apoe4 carriership in ADNI2 MCI" ] }, { "cell_type": "code", "execution_count": 174, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "baseline rate in NON-TARGET subjects: 0.3626373626373626\n", "##########\n", "baseline rate in TARGET subjects: 0.6545454545454545\n", "##########\n", "number of subjects with VOI in the whole sample: 102.0\n", "total number of subjects with VOI data in whole sample: 237\n", "ratio: 0.43037974683544306\n", "##########\n", "number of subjects with VOI that are positive at stage 1: 35.0\n", "total number of positive stage 1 subjects with VOI data: 76\n", "ratio: 0.4605263157894737\n", "##########\n", "number of subjects with VOI in HPC-AD: 24.0\n", "total number of HPC-AD subjects with VOI data: 44\n", "ratio: 0.5454545454545454\n", "##########\n", "number of subjects with VOI in Non-HPC+: 11.0\n", "total number of Non-HPC+ with VOI data: 32\n", "ratio: 0.34375\n", "##########\n", "number of subjects with VOI in negative subjects: 67.0\n", "total number of negative subjects with VOI data 161\n", "ratio: 0.4161490683229814\n" ] } ], "source": [ "compare_ratio_var(df4, 'APOE4_bin', 'conv_2_ad')" ] }, { "cell_type": "code", "execution_count": 175, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "observed freq: \n", "[[ 94. 21. 20.]\n", " [ 67. 11. 24.]]\n", "Chi2: 3.48930023426\n", "p value: 0.174706104948\n", "degress of freedom: 2\n", "expected freq: \n", "[[ 91.70886076 18.2278481 25.06329114]\n", " [ 69.29113924 13.7721519 18.93670886]]\n" ] } ], "source": [ "tmp_df = chi2_fn(df4, 'APOE4_bin')" ] }, { "cell_type": "code", "execution_count": 176, "metadata": {}, "outputs": [ { "data": { "image/png": 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L8eGHH0IQBCQkJGDYsGHo0aMHGjVqhOLiYpw/f15MIBo0aCAOw3g4iSkv75mY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\n1v1gcFfP4R2CfIogmQ+vG6NzrUYi1EanlfNicpbp6sTyI8Qf/OAHP+A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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "hpc_pie(tmp_df, 'APOE4_bin', path_results + 'adni2_mci_hpc_e4_pie.pdf')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## gender (% male) in ADNI2 MCI " ] }, { "cell_type": "code", "execution_count": 177, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "baseline rate in NON-TARGET subjects: 0.5274725274725275\n", "##########\n", "baseline rate in TARGET subjects: 0.509090909090909\n", "##########\n", "number of subjects with VOI in the whole sample: 124.0\n", "total number of subjects with VOI data in whole sample: 237\n", "ratio: 0.5232067510548524\n", "##########\n", "number of subjects with VOI that are positive at stage 1: 41.0\n", "total number of positive stage 1 subjects with VOI data: 76\n", "ratio: 0.5394736842105263\n", "##########\n", "number of subjects with VOI in HPC-AD: 25.0\n", "total number of HPC-AD subjects with VOI data: 44\n", "ratio: 0.5681818181818182\n", "##########\n", "number of subjects with VOI in Non-HPC+: 16.0\n", "total number of Non-HPC+ with VOI data: 32\n", "ratio: 0.5\n", "##########\n", "number of subjects with VOI in negative subjects: 83.0\n", "total number of negative subjects with VOI data 161\n", "ratio: 0.515527950310559\n" ] } ], "source": [ "compare_ratio_var(df4, 'gender', 'conv_2_ad')" ] }, { "cell_type": "code", "execution_count": 178, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "observed freq: \n", "[[ 78. 16. 19.]\n", " [ 83. 16. 25.]]\n", "Chi2: 0.463912163777\n", "p value: 0.792980948768\n", "degress of freedom: 2\n", "expected freq: \n", "[[ 76.76371308 15.25738397 20.97890295]\n", " [ 84.23628692 16.74261603 23.02109705]]\n" ] }, { "data": { "text/html": [ "
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NegativeNon-HPS+HPS+gender
078.016.019.0-
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" ], "text/plain": [ " Negative Non-HPS+ HPS+ gender\n", "0 78.0 16.0 19.0 -\n", "1 83.0 16.0 25.0 +" ] }, "execution_count": 178, "metadata": {}, "output_type": "execute_result" } ], "source": [ "chi2_fn(df4, 'gender')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## age in ADNI2 MCI " ] }, { "cell_type": "code", "execution_count": 179, "metadata": {}, "outputs": [ { "data": { "image/png": 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IiKhQ5S7cZ2dnY926ddi/fz9CQkK07rdz505hXn2vXr2EdldXVxgbGwMADh06pPX4AwcO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\n7VuEh4cjIiJC2D579mwhA0taWhp8fHxKr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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "ANOVA F: 3.58019531266\n", "p value: 0.029407344864\n", "Multiple Comparison of Means - Tukey HSD,FWER=0.05\n", "=================================================\n", " group1 group2 meandiff lower upper reject\n", "-------------------------------------------------\n", " HPS+ Negative -2.6988 -5.5975 0.2 False \n", " HPS+ Non-HPS+ -4.2188 -8.1777 -0.2598 True \n", "Negative Non-HPS+ -1.52 -4.8181 1.7781 False \n", "-------------------------------------------------\n" ] } ], "source": [ "anova_hpc(df4, 'age_scan', 50, 100, path_results + 'adni2_mci_age.pdf')" ] }, { "cell_type": "code", "execution_count": 180, "metadata": {}, "outputs": [ { "data": { "image/png": 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nn+zYsYPk5GSjLTExkR07dhiF+AAsFgs7d+7khx9+8EAvRURERORylLtbmKxWKx9++CGQ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\nnu9adSKiCoMBBBERCeSpSwFZQ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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "ANOVA F: 2.4983662413\n", "p value: 0.0315903018209\n", " Multiple Comparison of Means - Tukey HSD,FWER=0.05 \n", "====================================================\n", " group1 group2 meandiff lower upper reject\n", "----------------------------------------------------\n", "HPS+ pMCI HPS+ sMCI -2.7265 -9.0614 3.6084 False \n", "HPS+ pMCI pMCI+ -8.4336 -15.8647 -1.0025 True \n", "HPS+ pMCI pMCI- -2.5598 -8.8947 3.7751 False \n", "HPS+ pMCI sMCI+ -3.7106 -9.7722 2.351 False \n", "HPS+ pMCI sMCI- -3.972 -8.3768 0.4327 False \n", "HPS+ sMCI pMCI+ -5.7071 -13.6139 2.1997 False \n", "HPS+ sMCI pMCI- 0.1667 -6.7201 7.0534 False \n", "HPS+ sMCI sMCI+ -0.9841 -7.6204 5.6521 False \n", "HPS+ sMCI sMCI- -1.2455 -6.4126 3.9215 False \n", " pMCI+ pMCI- 5.8737 -2.0331 13.7806 False \n", " pMCI+ sMCI+ 4.7229 -2.9667 12.4126 False \n", " pMCI+ sMCI- 4.4615 -2.0029 10.926 False \n", " pMCI- sMCI+ -1.1508 -7.787 5.4854 False \n", " pMCI- sMCI- -1.4122 -6.5793 3.7549 False \n", " sMCI+ sMCI- -0.2614 -5.0895 4.5667 False \n", "----------------------------------------------------\n" ] } ], "source": [ "anova_hpc_split(df4, 'age_scan', 50, 100, 'sMCI', 'pMCI', path_results + 'adni2_mci_age_split.pdf')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## csf abeta in ADNI2 MCI" ] }, { "cell_type": "code", "execution_count": 181, "metadata": {}, "outputs": [ { "data": { "image/png": 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v3q2KFStq/vz5FscEBgZq0qRJioyMtFKVAAAAdjLm/uTJk3rzzTd1+/ZtSVLF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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "ANOVA F: 1.33868572942\n", "p value: 0.267858756996\n", "Multiple Comparison of Means - Tukey HSD,FWER=0.05\n", "==================================================\n", " group1 group2 meandiff lower upper reject\n", "--------------------------------------------------\n", " HPS+ Negative 20.529 -10.0189 51.0768 False \n", " HPS+ Non-HPS+ 19.8033 -22.7018 62.3085 False \n", "Negative Non-HPS+ -0.7256 -37.9391 36.4879 False \n", "--------------------------------------------------\n" ] } ], "source": [ "anova_hpc(df4, 'ABETA', 50, 350, path_results + 'adni2_mci_csf_abeta.pdf')" ] }, { "cell_type": "code", "execution_count": 182, "metadata": {}, "outputs": [ { "data": { "image/png": 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5Z7V48WIFBgYqPDxcv/32m95+++37ZvJhTQwAAADH5fAB4ocfftDgwYN18+ZN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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "ANOVA F: 1.72637551623\n", "p value: 0.138212369192\n", " Multiple Comparison of Means - Tukey HSD,FWER=0.05 \n", "=====================================================\n", " group1 group2 meandiff lower upper reject\n", "-----------------------------------------------------\n", "HPS+ pMCI HPS+ sMCI 32.5637 -33.0732 98.2007 False \n", "HPS+ pMCI pMCI+ 25.3923 -48.285 99.0696 False \n", "HPS+ pMCI pMCI- 5.8923 -52.9983 64.7829 False \n", "HPS+ pMCI sMCI+ 35.3495 -30.2875 100.9864 False \n", "HPS+ pMCI sMCI- 37.9807 -6.3334 82.2948 False \n", "HPS+ sMCI pMCI+ -7.1714 -89.1519 74.8091 False \n", "HPS+ sMCI pMCI- -26.6714 -95.6683 42.3254 False \n", "HPS+ sMCI sMCI+ 2.7857 -72.0519 77.6233 False \n", "HPS+ sMCI sMCI- 5.4169 -51.6462 62.4801 False \n", " pMCI+ pMCI- -19.5 -96.1857 57.1857 False \n", " pMCI+ sMCI+ 9.9571 -72.0234 91.9376 False \n", " pMCI+ sMCI- 12.5884 -53.5655 78.7423 False \n", " pMCI- sMCI+ 29.4571 -39.5397 98.454 False \n", " pMCI- sMCI- 32.0884 -17.0655 81.2422 False \n", " sMCI+ sMCI- 2.6312 -54.4319 59.6944 False \n", "-----------------------------------------------------\n" ] } ], "source": [ "anova_hpc_split(df4, 'ABETA', 50, 350, 'sMCI', 'pMCI', path_results + 'adni2_mci_csf_abeta_split.pdf')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## csf tau in ADNI2 MCI" ] }, { "cell_type": "code", "execution_count": 183, "metadata": {}, "outputs": [ { "data": { "image/png": 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nSux6Pj4+mjx5cqHG7D+oWbNmatasWYnVBAAAUNq++eabbG2//PKLfvrpJzVs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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "ANOVA F: 3.82058838967\n", "p value: 0.0262392488215\n", "Multiple Comparison of Means - Tukey HSD,FWER=0.05\n", "==================================================\n", " group1 group2 meandiff lower upper reject\n", "--------------------------------------------------\n", " HPS+ Negative -28.2852 -56.6095 0.0391 False \n", " HPS+ Non-HPS+ -0.5249 -40.2319 39.1821 False \n", "Negative Non-HPS+ 27.7603 -7.2069 62.7275 False \n", "--------------------------------------------------\n" ] } ], "source": [ "anova_hpc(df4, 'TAU', 0, 300, path_results + 'adni2_mci_csf_tau.pdf')" ] }, { "cell_type": "code", "execution_count": 184, "metadata": {}, "outputs": [ { "data": { "image/png": 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QpDVr1igtLc2JFVU+LvUKU40aNXTy5EmHtRcQEKApU6bc1BiK67Vp00Zt2rRx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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "ANOVA F: 2.38437224283\n", "p value: 0.0463692794265\n", " Multiple Comparison of Means - Tukey HSD,FWER=0.05 \n", "======================================================\n", " group1 group2 meandiff lower upper reject\n", "------------------------------------------------------\n", "HPS+ pMCI HPS+ sMCI -43.041 -105.8891 19.8071 False \n", "HPS+ pMCI pMCI+ -9.8277 -76.8381 57.1827 False \n", "HPS+ pMCI pMCI- -38.5077 -95.7287 18.7133 False \n", "HPS+ pMCI sMCI+ -17.691 -80.5391 45.1571 False \n", "HPS+ pMCI sMCI- -42.5345 -83.0663 -2.0027 True \n", "HPS+ sMCI pMCI+ 33.2133 -43.8945 110.3211 False \n", "HPS+ sMCI pMCI- 4.5333 -64.2378 73.3044 False \n", "HPS+ sMCI sMCI+ 25.35 -48.1694 98.8694 False \n", "HPS+ sMCI sMCI- 0.5065 -55.1536 56.1666 False \n", " pMCI+ pMCI- -28.68 -101.2746 43.9146 False \n", " pMCI+ sMCI+ -7.8633 -84.9711 69.2445 False \n", " pMCI+ sMCI- -32.7068 -93.0273 27.6136 False \n", " pMCI- sMCI+ 20.8167 -47.9544 89.5878 False \n", " pMCI- sMCI- -4.0268 -53.2448 45.1911 False \n", " sMCI+ sMCI- -24.8435 -80.5036 30.8166 False \n", "------------------------------------------------------\n" ] } ], "source": [ "anova_hpc_split(df4, 'TAU', 0, 300, 'sMCI', 'pMCI', path_results + 'adni2_mci_csf_tau_split.pdf')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## cognition" ] }, { "cell_type": "code", "execution_count": 185, "metadata": {}, "outputs": [ { "data": { "image/png": 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tsNlsGDZsGObPnw+dToctW7Zg1apVyM/PR1hYGBYsWIB27dohNTUV//3vf5GX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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "ANOVA F: 3.70415471528\n", "p value: 0.0260826085789\n", "Multiple Comparison of Means - Tukey HSD,FWER=0.05\n", "================================================\n", " group1 group2 meandiff lower upper reject\n", "------------------------------------------------\n", " HPS+ Negative 0.771 0.0915 1.4505 True \n", " HPS+ Non-HPS+ 0.446 -0.4813 1.3734 False \n", "Negative Non-HPS+ -0.325 -1.098 0.448 False \n", "------------------------------------------------\n" ] } ], "source": [ "# mmse\n", "anova_hpc(df4, 'MMSE', 15, 35, path_results + 'adni2_mci_mmse.pdf')" ] }, { "cell_type": "code", "execution_count": 186, "metadata": {}, "outputs": [ { "data": { "image/png": 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2/eyVqgC3iU/wB3B5DFweo1A9p7vwP/rp9aqitLQ0UlNTqRYXV+7vfXpwB3AW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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "ANOVA F: 3.73589533596\n", "p value: 0.00285296427231\n", "Multiple Comparison of Means - Tukey HSD,FWER=0.05\n", "==================================================\n", " group1 group2 meandiff lower upper reject\n", "--------------------------------------------------\n", "HPS+ pMCI HPS+ sMCI 1.1838 -0.2823 2.6498 False \n", "HPS+ pMCI pMCI+ 0.3252 -1.3946 2.045 False \n", "HPS+ pMCI pMCI- 0.5726 -0.8934 2.0387 False \n", "HPS+ pMCI sMCI+ 1.2473 -0.1556 2.6501 False \n", "HPS+ pMCI sMCI- 1.3418 0.3219 2.3618 True \n", "HPS+ sMCI pMCI+ -0.8586 -2.6885 0.9713 False \n", "HPS+ sMCI pMCI- -0.6111 -2.2049 0.9827 False \n", "HPS+ sMCI sMCI+ 0.0635 -1.4723 1.5993 False \n", "HPS+ sMCI sMCI- 0.1581 -1.0382 1.3543 False \n", " pMCI+ pMCI- 0.2475 -1.5824 2.0774 False \n", " pMCI+ sMCI+ 0.9221 -0.8575 2.7017 False \n", " pMCI+ sMCI- 1.0166 -0.4798 2.5131 False \n", " pMCI- sMCI+ 0.6746 -0.8612 2.2104 False \n", " pMCI- sMCI- 0.7692 -0.4271 1.9655 False \n", " sMCI+ sMCI- 0.0946 -1.0233 1.2124 False \n", "--------------------------------------------------\n" ] } ], "source": [ "anova_hpc_split(df4, 'MMSE', 15, 35, 'sMCI', 'pMCI', path_results + 'adni2_mci_mmse_split.pdf')" ] }, { "cell_type": "code", "execution_count": 187, "metadata": {}, "outputs": [ { "data": { "image/png": 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Azc0NAPD+++9buBoiIiKiYiaDeYMGDbB161aMHz8ex48fh0QiQZ06dbBhwwbY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\nqTEXpUJMTAxOTk7Ur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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "ANOVA F: 22.9366100182\n", "p value: 8.13560341744e-10\n", "Multiple Comparison of Means - Tukey HSD,FWER=0.05\n", "=================================================\n", " group1 group2 meandiff lower upper reject\n", "-------------------------------------------------\n", " HPS+ Negative -7.1348 -9.6719 -4.5977 True \n", " HPS+ Non-HPS+ -3.9489 -7.4092 -0.4885 True \n", "Negative Non-HPS+ 3.1859 0.3002 6.0717 True \n", "-------------------------------------------------\n" ] } ], "source": [ "# adas_cog\n", "anova_hpc(df4, 'ADAS13', -1, 45, path_results + 'adni2_mci_adas13.pdf')" ] }, { "cell_type": "code", "execution_count": 188, "metadata": {}, "outputs": [ { "data": { "image/png": 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BAAAACo1NmzYpJiZGMTEx+uabb2xdTqGTbfhfv369pk6dKiktxJvN5ttO+Zkz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\nzJlia9kur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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "ANOVA F: 27.6927688055\n", "p value: 6.74852023725e-22\n", " Multiple Comparison of Means - Tukey HSD,FWER=0.05 \n", "====================================================\n", " group1 group2 meandiff lower upper reject\n", "----------------------------------------------------\n", "HPS+ pMCI HPS+ sMCI -8.7393 -13.5776 -3.901 True \n", "HPS+ pMCI pMCI+ -2.9615 -8.6371 2.714 False \n", "HPS+ pMCI pMCI- -3.0726 -7.9109 1.7656 False \n", "HPS+ pMCI sMCI+ -9.9139 -14.5435 -5.2843 True \n", "HPS+ pMCI sMCI- -11.6849 -15.0528 -8.3171 True \n", "HPS+ sMCI pMCI+ 5.7778 -0.2611 11.8166 False \n", "HPS+ sMCI pMCI- 5.6667 0.4069 10.9264 True \n", "HPS+ sMCI sMCI+ -1.1746 -6.243 3.8938 False \n", "HPS+ sMCI sMCI- -2.9456 -6.8951 1.0039 False \n", " pMCI+ pMCI- -0.1111 -6.15 5.9277 False \n", " pMCI+ sMCI+ -6.9524 -12.8253 -1.0794 True \n", " pMCI+ sMCI- -8.7234 -13.6631 -3.7837 True \n", " pMCI- sMCI+ -6.8413 -11.9097 -1.7728 True \n", " pMCI- sMCI- -8.6123 -12.5618 -4.6628 True \n", " sMCI+ sMCI- -1.771 -5.4619 1.9198 False \n", "----------------------------------------------------\n" ] } ], "source": [ "anova_hpc_split(df4, 'ADAS13', -1, 60, 'sMCI', 'pMCI', path_results + 'adni2_mci_adas13_split.pdf')" ] }, { "cell_type": "code", "execution_count": 189, "metadata": {}, "outputs": [ { "data": { "image/png": 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ukIiIiMzWA+8QKpPJMGjQIHzxxRdITEzE999/j+HDh8Pa2ho6nQ6XLl3C0qVL\nMXToUIwaNQq//fYbsrKy6rN2MlMTJkyAs7OzXtuYMWP0QnGN9PR0LFq0SG+987///luvh7yGRCJB\nmzZtkJaWhvnz5+Py5cuiY1xcXBAaGmqwrqFDhyIyMhKjRo1C7969MXPmTCxduvRhL4+IiIjM2D/a\nhMjKygpBQUEICgqCUqlEQkICdu7ciX379qGyshJnzpzB2bNn8dVXX6FLly4YPnw4hg0bxk1aqE40\nb94c69evx19//YWCggL0798f3bt3x969e3Hz5k29Yzt27IiYmBjROQoLCyGRSPRWI+ratSs8PDzw\nzDPPIDc3V/Qaa2trfPDBB/Dz88OMGTMQEREBtVoNmUyGV155BR07dgQAvP3223V8xUREZO50Oh0q\nKyu5RK8ZeOQdQuVyOYYNG4Zhw4ahoqICe/bswa5du7B//35UVVXhxIkTOHnyJD7//HMEBAQgLCwM\nQ4cOhaOjY13UX+eqqqrw7LPP4vLly9iwYQO6dOli7JLIAGdnZ0yYMEGv7b333sO8efOEceIeHh6Y\nMWMGjh07JkxsrmFvb4+cnBy9tpSUFOzYscNgMA8ODsb7778POzs7AMDkyZMRHh6Oq1evwsfHh188\niYio3vz111/48ccfkZOTg3bt2uGdd94RhkzqdDrodDpotVpIpQ88IIJMWK2rtTyq0tJS7NmzBzEx\nMTh48CCUSqWw4otMJjM4qc8UfPHFF1i1ahUAPFQ4r6/VWiZPnozs7Ow6O19DplQqUVZWBo1GAysr\nK9jZ2YkmmimVShQWFgqPLSwsYG1tLZqsaWlpaXCTFGtra1RUVIjabWxsYG9vX2ttarUaJSUlUKlU\nsLCwgK2tLRQKxcNeYqPi4eGBlStXGrsMMjKuJEH0aFJSUjBlyhS9O71NmjTBf//7Xxw6dAhvv/02\ntFotPD098cYbbyAwMNCI1dKDuF9mfOSe89rY2dkhPDwcQ4cORXR0NL755hvk5+dDp9NBrVbX19s+\nkp9++kkI5qYiOzsb2dnZojHW5katVuuNKa+srERVVRWaNGkifOnT6XSicecajQYqlQo2NjZ6484N\nBXOg+otjbe01r9FqtaiqqoJUKhV2ES0qKoJWqxVqLSoqgk6nq/V8jd3ddyqIiOifiYmJEW0IWVRU\nhL/++guLFy8W/vZkZWXh3XffxebNm7mkcwNXL8mhptc8NjYWiYmJqKysBPB/u42a2m2XqqoqfPbZ\nZ1i/fr2xSzHI2dkZ3333nbHLMKrIyEjR2HGtVotXX30VarUaf//9N9zd3Q1OwHRycoKDgwMuXbqk\n1y6TyfS+KHbp0gVvvfUWzp8axZPkAAAgAElEQVQ/j1WrViEjIwO2trYICgrC888/D6lUiiNHjuC7\n774TlmH08PDA888/j+XLl4veNyAgAFOmTKmLy29wZs6caewSiIgahZpOoLudP39etCSwWq3G3r17\nMX78+MdRGtWTOgvnJSUliI+PR3R0NJKSkoRexppALpFI0L17d4SGhmLYsGF19baPLCUlBR9//DHO\nnDkDoHoYxN0/7GR8SqXSYPvatWuRnp4uPL47cAPVAfr06dOi10okEnh7e+PGjRsAgNOnT2P79u0Y\nOXIkQkND8csvv6CsrAx//vknzp07hzfffBOrVq3S+/nIzs7GgQMHDNZW05tBRET0T40YMQLr16/X\n+9vm5eWFdu3a4a+//hIdb+5DKhuDRwrnxcXFiIuLQ3R0NA4dOiT84NwZyLt16yYEcnd390evuA59\n8803+OWXX4R6g4KC0KpVK46TNUF9+vRBQkKCXptCodAL5gBEwVwikaB169bIyclBZmam3nNOTk5C\nMAeqf243btwIPz8/rF69Wu824pUrV7Bt2zaDyzXevn0bzs7OekM5JBIJ+vfv/7CXSUREpMfHxwff\nfvstfvrpJ6Snp6Nr167497//DTs7O/z8888oKioSjm3SpAmGDBlixGqpLjx0OC8sLMTu3bsRExOD\nw4cPC72Idwbyrl27CoHcw8OjbiuuQ6dPn4ZOp4OjoyPmz5+P0aNHGxyeQMbXqVMnTJgwQQjILVu2\nhJeXF44cOSI6tkePHkhOTgZQ/XO5bds29OrVC9nZ2UJvtlQqRbNmzUQrtgBAUlKSwZ76W7duGZww\n2qJFCzz99NNYtWoVzp8/D1dXV4waNQrt27evi0snIiIz16tXL/Tq1UvU/tNPP2HChAlQqVQYMGAA\nXnvtNZNdDY8e3AOF89u3bws95EePHjUYyLt06YLQ0FCEhISYdCC/k4ODA6ZOnYqpU6eiSZMmxi6H\n7mPYsGEIDg5GRUUF7OzssGfPHoPh3NBSiCkpKZg1axYiIiJQUVEBrVaLs2fPGnyf1q1bQyqVioal\ntGjRAl26dMGaNWuENjs7O4wcORLNmjXDBx98wKWsiIjosWnTpo0QxhcvXmzkaqiu1BrO8/PzERsb\ni5iYGCQnJ9cayENCQhASEgJPT8/HU3EdWr58OYNUA2NhYSGsNd6/f3/s3bsXV69eFZ7v37+/aOIn\nAFRUVCAhIUGv17uqqsrgGPUjR44gMDAQcXFxQpujoyNCQ0Ph4uKCNm3aIDk5Gba2thg4cKBeLwV/\nnohqp9PpUFZWBltbW2GVJSIi0ldrOB8wYIAQxO8ce9u5c2ehh9zLy6v+K6xHDFINm5WVFRYuXIij\nR4/i1q1baNeuHTp37ozffvsNu3fv1jvW29sb165dE51DrVbDx8dHL+AfP34cvXv3xptvvomUlBQ4\nOztj0KBBcHBwAAC0bdsWbdu2rd+LI2qgKisrERcXh7y8PPTt21do37dvH5YsWYJbt26hRYsWmDdv\nHudlEBEZUGs412q1wvbmCoUC/fv3R0hICJo2bQoAyMzMFE2wexjdunX7x68lqmFpaYl+/frptY0e\nPRo3b97EhQsXAFTvYmtra4vKykqUlJToHevi4mJwGMyxY8cwY8YMdO3atf6KJ2pkbt++jSlTpuDm\nzZsAgO+++w52dnZQKBRYsGCBcJfq5s2bePPNN7Ft27YGedeViKg+3XfMuUQigVKpRHx8POLj4+vk\nTSUSCc6dO1cn5yK6m52dHRYuXIi4uDisWrUKSqVSGF9+91hyiURicFMsS0tL3lkhekhr164VgnmN\n0tJSg5vPqVQqxMfH46WXXnqcJRIRmbz7pg+dTlcv/yOqb0lJSaKfNUtLS/Tp00cY75qXl6e3c2iN\noKCgfxzOS0tLkZqaarBHnqgxO3/+vMH22tb8l8vl9VkOEVGDVGvPeUBAwOOsg8iggoICxMfHIz8/\nH506dULv3r0fODQb2kJeqVRCo9EY/ILo6ekJiUSCAQMGIDw8/J7n1ul0OHfuHG7evAkfHx9hDPre\nvXsRGRmJqqoqSCQSBAcHY+LEiZz8RmahXbt2OHr0qKhdrVaLliF1cHBAcHDw4yyPiKhBqDWc37lc\nHJEx5Ofn4/333xc2WNi3bx9SU1Mxffp0XL9+HevXr8eNGzfg7e2NF154Aa1btxZeq9Fo4O/vb3Bi\naM3utXd79dVX8a9//UuvraqqCklJScjMzES7du3QtWtX6HQ6LF26FMePHxeOCwwMxLPPPouVK1fq\nrWy0e/du+Pn58csumYVx48Zh7969yMjI0GtXqVRQqVRo164d8vLy0K5dO7z++utcj5mIyIBH2iGU\nqD7FxMTo7XwGAPv370dQUBC++OILYThKamoqrl69iiVLlqCwsBArV67EpUuX4OzsDE9PT2RlZQEA\nXF1dMX36dFy7dg0nT57UO6+dnR02btyIsrIy9OjRA+Hh4dBoNPj444+RlpYGAPjrr78wcOBAdOvW\nTS+YA8CePXvg6OgoBPM7paSkMJyTWXBxccG6deuwc+dOfPXVV6LfBxsbG8TExBipOiKihoHhnExW\ndna2qE2n0+HAgQOiceLl5eU4ePAg/vvf/6KwsBBA9bAWiUSCadOmwc3NDVlZWYiNjUWzZs0QFBSE\nffv2Qa1Ww9HREYWFhcIk5bS0NGRlZaFNmzZCMK+xf//+WustKysz2O7i4vJQ103UkFlbW2PQoEFY\ntGiR6Ln8/HwjVERE1LAwnJPJ8vX1xbFjx/TarKysat3N9ebNm0Iwr6HT6XDlyhUkJibq7QjaokUL\nLFmyBCqVCqtWrRK9LikpqdZx4jKZ4V+bjh07Ii0tTVjCseZYlUoFtVpd6+uIGhtXV1e0b99eNEGU\n65oTEd1frTPrVq9ejdWrV9c6+/6fWLlyJdq3b48OHTrU2Tmp8bK2tha1hYeHY+DAgbC0tNRrl8lk\naN++vcHzFBYW6gVzoDrInz59Gh4eHqK1z4HqUN+sWTOD5xsyZIhobDoAREREYOzYsXqT3NRqNbZt\n24affvrJ4LmIGquPP/4YLVu2FB737dsX06dPN2JFREQNQ63h/PPPP8eiRYtw+PDhe55g0aJFWLRo\nkcEZ+oZwKUV6EBqNBhs2bBC1p6WlobKyUtitEwAUCgVmz56Nfv36wdnZWe94qVRaa8g+ffo05syZ\nIxq6AgAtW7ZEWFgYOnbsqNcukUiwa9cuzJs3TzSZrbS0FFu3bkVxcbHofElJSQZXjyFqrFq3bo0t\nW7bA2dkZLi4uWLZsGWxtbY1dFhGRyXvkXVYiIyOxevVqUc8k0aMoKioSTQYFgPT0dCxfvlxv7Gpl\nZSUyMjJw8eJFUTAeOnSoaAfRGidPnkReXp6o3dvbG7Nnz4alpSXeeecdvd1sdTod9u/fj99//100\nFAYArl27ZjCc63Q6gz30RI2ZRCKBpaUlh3QRET0EboFIJsnR0VHUCw4ATZs2Fe1ACADJycnYtGmT\naBfCY8eOwcrKCjY2NnrtzZo1M7iySnBwMHr06IEVK1Zg6dKluHz5Mi5evCg67vDhw3B3dxe1t2jR\nQi/M13Bzc0OLFi3EF0pERER0B3Zn3GXWrFmYNWuWscswe1KpFBMmTMDy5cuFwO3o6IiRI0fi9OnT\noh0H7ezscOPGDdF58vPzERUVJVrd5c7NUO50/vx53Lp1S3h84sQJg2PfZTIZXnrpJSxbtkwI+dbW\n1njhhRfg7e2N9PR0JCYmQqfTwc3NDbNnz/7HO45S/Zs8ebLB1YHo0VRWVgp3wIYMGQIrKysjV9T4\neHh4YOXKlcYug0zM2bNnERcXB4VCgREjRqBp06bGLokeAsM5mayAgAAsXboUycnJUCgU6NmzJ6yt\nrTFgwADs27dPOE4ikSA0NBTx8fFITk7WO0erVq1w5coV0blv374t2rFQoVDoBXOgeuy7o6MjSktL\n9doDAwMREBCAr776CkeOHIFMJkPfvn2F3v4ZM2bgxRdfRElJCZo3b85gbuKys7ORlZXFMdF1qGbj\noRoFBQWQy+WwsLAwYlWNS23Lt1Ljo1arsX//fty4cQP+/v7o3r17rcdu374dn332mTC/7/fff8eP\nP/4IPz+/x1UuPSKGczJpLi4uGDZsmF7blClT4OXlheTkZNja2iIkJAT+/v5wd3fH9evXhfHoNjY2\nmDRpEjZs2CAaH25jYyPqTW/atCmuXbsmqsHR0RG9e/dGQkICtFotBg4ciGeffRYA4OXlhZEjRxqs\n3cnJCU5OTv/42unxsrW1xZgxY4xdRqOgVqsRFRUland2dkZoaKgRKmqc1q9fb+wS6DFQKpV4/fXX\ncerUKaHtmWeewXvvvQegeidrlUqFY8eOoWvXrvjhhx/0Ft6oqKhAREQEli1b9thrp3+G4ZwaHJlM\nhvDwcISHh+u1e3l5YcmSJTh16hRUKhW6du0Ka2treHp6ipYEtbW1FYXza9euCRsS3SkgIABDhgwR\nAjkR3VtVVZVo/gfAnl6ifyI6OlovmAPAtm3b8Nxzz+G3335DQUEBAOC1117DgAEDDK4MZmjYJ5ku\n3munRsXCwgIBAQHo27cvrK2tceHCBezdu1fvGKlUCrlcbvD1U6dOhZubm3CuwMBABAUFAQC0Wi3S\n0tK4yyHRfdjY2Bi8a1TbsqZEVLs7N7a7065duxAXF6fXduDAAbi6uoqO7dy5c73URvWDPefU4Gm1\nWmzevBmxsbFQKpXo1asXJk6cCDs7O5w8edLg8W5ubsjIyNBr79SpE+RyuTAB1MPDAz179oRUKsX1\n69fx7bffIicnBxKJBD179sRrr73GCW5EtRgwYADi4+OF3nJ3d3eDKxkR0b21a9fOYLtSqTTY3rt3\nb8THxwtzqry8vPDaa6/VW31U9xjOqcHbsWMHtm/fLjxOSkqCUqnEvHnzYG9vb/A1dy+P6OnpiXHj\nxmHhwoXCB97ff/+NxYsX4+uvv8by5cuRk5MDoHrN8iNHjqBFixYc6kJUC1dXV4wePRo5OTmwtLSE\ni4uLsUsiapBCQ0Px559/IiUlRWgbOXIk+vbti82bN4uODwwMxJw5c3Dw4EFhEQV2JDUsDOfU4B08\neFDUduLECRQXF6N169awt7fX2wDI1tZWNPY1NzcXJ06cEPVEqFQqxMbGIisrS/QeJ0+eZDgnugep\nVApPT09jl0HUoMnlckRERCAhIQE3btxAly5d0KNHD2g0GvTp0weHDh0Sju3Tpw/69+8PqVSKp556\nyohV06NgOKcGr7ZlChcsWICioiJIpVK0aNEC1tbWaNOmDW7cuIFz587pHavRaAzu7AlUL7EolUpF\na6s7ODjUzQUQERHdg0wmQ3BwsF6bhYUFli5dimHDhkGtVuPDDz/EoEGDuHRvI8D/B6nBGzx4sKhN\nKpUKm59otVrcvHkTw4YNw7hx4wzeXpfL5Rg6dKhowyGZTIZu3bph4MCBovMPHz687i6CiIjoIclk\nMigUCtjZ2SEwMJD7CDQS9+05P3jw4AMtf/UgxxmanEf0qIYOHYqqqirExsaisrISbdq0wenTp0XH\nHTt2DHv37sWZM2f02iUSCcaNGwcPDw+88847WLVqFa5fvw6ger3mjz/+GHPmzEGLFi1w/Phx2NnZ\nISQkBL6+vo/l+oiIyLwVFBRgx44duH37NgYOHIguXboIz2k0GqjVamRlZQnDyCorK7Fq1SokJSXB\n1dUV48eP54TsBuS+4TwpKQlJSUm1Pi+RSB7oOKL6IpFIMGLECIwYMQIAcPXqVYPhvKioSLTeuUQi\nwUcffYS2bdsCANq0aQNHR0e9Y1QqFX7//XcsXryYG6gQPYSbN2/i+vXrsLS0RLt27YQddInowWVk\nZGDy5MnC+uWrV6/GzJkzMXHiRPz444/Iy8sDADz99NOYOHEiXnvtNbz99tt687GSkpLwyy+/oFOn\nTka5Bno49wznd+4wRdRQ+Pj4wNfXV29tWLlcDoVCITpWp9MhJSUF27ZtQ2FhIfz9/Q3uEpqZmYny\n8nLY2NjUa+1EjUVKSgqSk5OFxxcvXkRISAgniBI9pMjISNHGQj///DPat2+PX3/9VWjTaDT49ddf\n0bZtW9FCCRqNBhs2bGA4byBqDefPPPPM46yDalFcXIyKigrMnDnT2KU0KDqdDgqFAiqVChYWFpDL\n5bVu5LBlyxbh3zdu3BDuBt1JKpXizTffFD1X8wXW0GvM2e3bt0Xj98l8qNVqvWXfgOq5H6dOnUJI\nSIiRqiJqmK5evSpqUyqVSEhIMHj8sWPHDLbXtugBmZ5aw/miRYseZx1EdUoikYh6uaVSKZRKpd6q\nK4ZWYTF0x0in06G4uBjW1tawsrKCTqdDWVkZqqqqAACWlpawtbXlLHkiAFVVVcLvxp1KS0uNUA1R\nw9apUyfRl117e/ta5z117twZBw8eRHZ2tl67ocUTyDRxKUUT5+DgAGtra3z33XfGLsXkqdVqXLx4\nEXK5HG3atBE9n5mZiY8//ljoPahZYjEtLU107Pz585GZmYmYmBjk5eVBp9NBo9GgrKwMs2fPxvHj\nxxETEyMcr1Kp4Ovri9mzZ9ffBTYgM2fOhKWlpbHLICOxsbFBkyZNhBWTanh5eRmpIqKGa+LEiUhK\nShIWKrCwsMD8+fMRHByMqKgovZ51Hx8fBAcHw9vbG++//z5u3rwJmUyGZ599FiNHjjTWJdBDYjin\nRuHatWv45ptvUFhYCKD6A+qtt97S2yF006ZNerf1tFot8vPzRedydnZGq1at4O7ujrVr1+o9p9Pp\nEB8fL5pYClTfStRoNFzKigjVvX13jnu1sLBAhw4djFgRUcPk5OSEdevWISEhAenp6QgODkbLli0B\nAL/88gtGjBgBlUqFKVOmYPTo0ZDL5ejYsSO2bt2K9PR0ODo6okmTJka+CnoYvAdPjcKKFSuEYA5U\nj9HbtGkTgOqxeUVFRQYnepaWlmLw4MGQyaq/pyoUChQUFGDWrFn4/vvvDb5XVVUV5HK5qN3Kyopj\nz4n+5+4lSzUajcEvtUR0f/v378c333yDH374AZMmTcK2bdsAVA9vsbW1haOjIyZPnqzXISWRSNCq\nVSsG8wao1p7z2iYU1JWAgIB6PT+Zj4KCAmRkZIjaU1NTsXbtWuzevRtVVVUGV1qxsrJC9+7dMXbs\nWKxbtw579+4VnktLS4OVlZVo7GyfPn1QUFCAdevW6bUHBgZyzDkRgPLycr0vyzX+/vtvI1RD1LBl\nZ2fj3XffhVqtBlC9LPDnn3+O9u3bw9HREcXFxVCr1fjiiy8wceJErojUCNQazsePH19vvYASiUS0\nfTrRP2Vrawtra2tUVFTotUulUuzYsUN4XF5eDolEojfhs6qqCosXL0ZYWBjOnj0rOndVVRVat26N\na9euwdraGmFhYejfvz90Oh1kMhkSEhKgVqvRv39/hIeH199FEjUgVlZWsLS0hEql0mu3tbU1UkVE\nDdeBAweEYF5Dp9MhNjYWMTExwt++zZs348CBA9i4cSN/1xq4+44551rnZOqsrKzw1FNPCcNYgOrx\nrYYmJOp0Onh7e+PGjRt67dHR0WjWrJnBcy9cuBBVVVVQKBTC8BeJRILQ0FBuSkRkgEwmQ6dOnXDi\nxAmhTSKRwN/f34hVETVMdnZ2Bttv3bolWpElOzsbu3fv5uTPBu6+4bym99zX11e0cyKRqXjmmWfQ\nrFkzHD58GNbW1ggKCsKWLVuQnp4uOtbQHSGtVouuXbvi5s2beu1PPvkkrKysYGVlVW+1EzVGXbp0\ngaOjo7BDqK+vL5ycnKBWq4UvuUR0f4MHD4anpyeysrKENgcHB7Rq1crg8YaGlFHDUusn5J23/yUS\nCS5fvow+ffpg+PDhCA4OrvWbHJGx9OzZEz179hQeDx06FKdOnRLd/alZjupOCoUCTz/9NNzd3YUl\nEvv164fhw4fXb9FEjZi3tze8vb2h0Whw5MgRXL58GVqtFq1atUK/fv0MTqwmIn0KhQIRERGIiIjA\n2bNn4ePjg6lTpwIAVq1apfc3TiKRYMCAAcYqlepIreF8//79iI6Oxs6dO3Hq1Cmo1WocPHgQBw8e\nxMKFCzFw4ECEhYXhySef5E6AVG8KCwtRVFSEFi1aPPRkS39/f8yZMwfbt283GMhrWFhYYMKECThw\n4ADWrVsHpVIJS0tLSCQSLotIVAdOnjypt0NvzbCywMBAI1VEj9vkyZNFQzDon0lNTcXs2bOh0+lE\n86gkEglmzZrFlcPqmIeHB1auXPnY3q/WcO7m5obx48dj/PjxyMrKwq5du7Bz506kpqaiqqoK8fHx\niI+Ph0KhwODBgxEWFoZBgwbx9j/VCa1Wi19//RX79u2DVquFi4sLXn/9dWFHNJ1OB5VKdd+ft4CA\nAFRUVGDFihWi57p27YpevXqhU6dOKC8vx1tvvSV8yKlUKqxbtw4dOnSAj49PrecvLCxETk4OWrZs\nCYVC8QhXTNRwKZVK5OTkwM7ODk5OTqLnDS1jmpaWxiEuZiQ7OxuZmZns8KhDhuYEarVa5OTkMJzX\nIY1G89jf84E+FT09PTFp0iRMmjQJGRkZ2LlzJ3bt2oXz58+joqIC0dHRiI6Ohq2tLYKCghAWFoZ+\n/frxQ5f+sT179ugta5ifn49ly5Zh2bJl2LNnD7Zv347CwkK0a9cOU6ZMQfPmzWs9l5ubm8H2y5cv\n4+zZs/D390fz5s0NftCdPHkSPj4+qKysRHFxMdzc3IQPvbVr1yI6OhoajQbW1taYNGkS+vfv/4hX\nTtSwXLt2DQcPHhRWk/D29sbgwYMhlUpRUFCAGzduiFaaAKpXU2KAMC8WFhZo0aKFsctoNIqKikS7\n8AJAkyZNuLZ5Hbp7Ltrj8NDpuXnz5pg2bRqmTZuGGzduCEH98uXLKC0txZ9//ok///wTDg4OGDp0\nKMLCwtC7d29+CNNDOX78uKitsLAQ0dHRiIqKEtouXryIr7/+GkuWLIGFhQWqqqogk8n0hsC0b98e\nfn5+ok1RSktLAVSv6V/bsBcnJyds3LgRu3btglKphIeHB6ZPn46ysjK9ZRorKirw008/oVOnTvxQ\nJLOhVCr1gjlQPWTl0qVLkMlkOHDgQK0rfrVt25a9qESPQKFQGAznvIvb8D1S17a3tzdmzJiBGTNm\n4OrVq9ixYwd27dqF69evo6ioCJs3b8bmzZvh7OyMkJAQhIaGokePHnVVOzViDg4OBtsN7TCYm5uL\nY8eOYe/evThz5gysra0REhKC5557DhKJBHl5efD19RXu5OTk5Ig2Q8nLy4Orqyvy8vKENldXV1ha\nWmL79u1CW3Z2NpYuXWpwEy2NRoPU1FT2npPZyMnJMdgrfuvWLeTk5IiCuUwmg1wuh4+PD7p27fq4\nyiRqlORyORwcHFBcXCy0OTg4cKJ1I1Bn4058fHwwe/ZszJ49GxcuXMCuXbsQHR2NtLQ05OfnIyoq\nClFRUXB3d0dYWBgWLFhQV29NjdCwYcNw6NAhvT/83bt3r3VjhS1btuDWrVsAqjcb2rp1K5ycnNCi\nRQssWrQISqUSQPVt1SeeeMLgOcaPH4+NGzfi1q1bsLCwgL+/P06dOiU6rqSkRLS5So07lxtVqVSI\nj4/H2bNn4erqipCQEHh4eDzYfwCiBqC2VbsMbQpW0z569Oj6LovIbDg6OsLOzg4qlQqWlpYcTtxI\n1Mte476+vpg7dy5iYmKwfft2vPbaa3BxcYFOp0N2djZ+++23+nhbakQ8PT3Rv39/ODg4wNHREWFh\nYZg1axYGDx4sGiLl5eUlBPM7JSYmYsOGDUIwB6p7t3Nzc0XHtmjRAocOHRLOo9FoEB8fX+vqAr16\n9YK9vb1em62tLc6dOyfcZly2bBlWr16N48ePIyYmBu+//z5ycnIe7j8EkQlzcnKCt7e3XptcLoef\nn5/BL9Kurq61nqu0tBS5ubnQarV1XSZRoyaTyWBtbc1g3ojUSzivceHCBezevRtxcXHIz8/nuHN6\nIFqtFp9//jkSEhJQXFyMwsJCHDx4EOXl5fD19cWcOXPg7e0NOzs79OnTB6+99prB88hkMoMTOYqK\nitC6dWu948LCwnD06FGDx96902jr1q3RrVs3fPLJJwgODoaNjQ0AoKysDNu3b8cHH3yACxcuiMbN\nl5WVITY29qH/exCZsoEDB6JXr17w9vaGn58fwsPD4eDggN69e+vN/bC2tkb37t1Fr9dqtdi3bx82\nbtyIv/76Cxs2bEBmZubjvASiBkGlUqGyslI0XEyn00GtVnNH90akzr9mnT17FtHR0YiJidELRjU/\nNC4uLhgyZEhdvy01ImfPnhUtvVZcXIyEhAS4u7vjjz/+wO3bt+Hv749x48bB0dERnTp1Qmpqqt5r\nAgMDsW/fPpw+fVqv3dHRUe/8arUaUVFRkEqlol47Kysr+Pn54eTJk0JbUVERiouL4eHhgYCAAMTF\nxem9Ji8vDwcOHDB4bfn5+Q/+H4LIxJ04cQJnz56FSqWCp6cnevToIdxRcnNzw+DBg1FaWgq5XA5v\nb29YWlqKll08f/48rl69KpyzoqICCQkJeOGFFx56bwOixkir1SIvLw+VlZUAqlc6cnV1hUKhQFlZ\nGQoKCqDVaiGVSuHk5FTr8E9qOOoknKekpCAmJgYxMTF6wwtqArmzszOGDBmCkJAQ9OrVix+4dE8F\nBQUG269cuYKNGzcKj5OSkpCZmYlPP/1U+NCq4eTkhG7dukEqlSI1NVUI3VKpFM7OzqLtjUtKStCl\nSxfRGPPu3bvrrcoCVAfs3bt347nnntObQHoniUQCuVyuN6QGADp37nyPKydqOC5duqT3+5KVlYX4\n+Hg888wzOHbsGM6cOQOdTgdLS0v06dMHlpaWBpddrKqqEp27oqICeXl5cHd3f2zXQ2SqSkpK9P7G\nabVa5Ofnw83NTa/Dp6bdyspKdMeXGpZ/HM5Pnz4t9JDfeQuyJpA7OTlhyJAhCA0NZSCnh9KpUydY\nWFiIFv4vKysTHXv9+g6A7HoAACAASURBVHXExsbi8uXLeu0FBQVITEzEjh079HrDtVptrbf+XFxc\nRG0lJSUGj7116xYOHTqE6Ohog8937doVfn5+iIiIED5U+/Xrh0GDBhk8noyruLgY5eXlWL9+vbFL\naTDu/kIMVP/erVmzRm/CtEqlwv79+3H06FHRa27cuFHrcMe4uDj+3biPsrIyDmUwA4YmV2s0GoN/\nE2uOry2cK5VKaLVayOVy/n6ZsIcK5ydOnEBMTAxiY2ORlZUFQH+HKkdHRyGQ3z3ekOhBOTk5Ydq0\nafjtt99QUVEBCwsLhIaG1jo509AET6C6p/3uJROB6g+1u4ewdOzYEYcPHxYde+bMGYNfFBQKBZYv\nXy46XiKRIDAwEN26dYNEIoG/vz+uXr0KFxcXeHl53fO6iRqS2kJ1bRM6DS25WHOeuwOmhYUF/34Q\n/Y9MJjN4h6m23xGNRiP0qNvZ2UEul0Or1SI3N1e4myuRSODm5sY10U3UfcN5cnIyoqOjsXv3bmGl\nibsDeXBwsBDIuakE1YUBAwYgICAAaWlp8PDwgKOjI44ePYpjx47pHWdhYSEaolKjTZs2SEhIEP3h\nl0gkogCRlZVlsCdQqVRi7Nix+P3334XztG7dutYvBB988AF8fX2Fx9bW1vDz87v/BZNROTg4QCKR\nYMyYMcYupcG4efMmdu/erdfm5eUFLy8vnDhxQnR8r169kJiYKGrv0KEDWrdujbNnz6K8vBzNmzdH\nhw4d+LfkAaxfv160ahQ1Pvb29igvL9drs7Ozg729PUpKSvT+nkkkEr07vmVlZXB1dUVVVZXeMEud\nTof8/Hw0bdqUi3WYoFrD+aefforY2FhhTO2dAadJkyZCIO/Tpw8/RKleKBQKtGvXTnjcs2dPjB8/\nHlu2bBE+qDQaDQ4dOgRPT09kZ2fr/ZxGRkbCx8cHV65cEdokEonB5aby8/PRsWNHnD17Vq+9Z8+e\nsLS01DvvjRs30LRpU4M1c3dQMhctWrTA4MGDkZqaisrKSjRv3hw9evSARqPBuXPnRF92r1y5gpYt\nWyI9PV1ok8vl6NChA+zs7Djki6gWcrkcLi4uKCwshFarhaWlJezt7SGVSuHh4fH/2bvvsKbO/g3g\nd0iYMkREFFBELM66iwsVNxVREVcd1aqlWrXValt9tdattUOr1FHrwo19FZXiHnXUUUcdqLgLIiJ7\nryTn9wc/zmtMoqiBBHJ/rqvXlTw5OeebkuDNk2cgLS0N+fn5MDMz07iaS1pamsYArlAoIJfLOT7d\nAGkN51u2bFH5urEokPv6+qJ169ZcT5P04v333xdXiHhefHw8PvjgA2zdulVsy8/Px/379+Hv749r\n164hLy8P1atX1zh+DwB69+6NJ0+eiBNS7ezs4Ofnh7lz56ocp1QqNX7FWLNmTQ5dIaNSq1YtlWVJ\ni/j7+2Pv3r0qPXXx8fGoV68e2rRpgydPnsDa2hr16tXTupERERWSy+VITk4W81h+fj6ePXsm9nqb\nmJjAxMRE47fCRc+3tLTU+O8WO1cN0ysTdtGqE56enoiLi8P69euxfv36t7qoRCLB2rVr3+ocZLw0\n7c4pCILGNc0FQYCZmRkSEhKQnZ0tzpV4cZxr/fr1cf36dZWVYtLS0hASEiJuKvS8vLw8+Pn54ciR\nI8jLy0PdunXxySefiI8/e/YMsbGxcHd3V9k1lMgYSKVStZWKgMKJ1K1bt1YZ+kVEL6dp4m/RhNC0\ntDRxTpSm8A0Ufgtta2uLnJwclfMU9b6T4SlW93deXh4uXryokwsKgsDxTVRsZ86cwa5du5CYmIiG\nDRviww8/ROvWrXHnzh2V49zd3eHq6qrxHEVjWZ9namqKWrVqITExEa6urhg0aBB+/PFHtedev34d\n1atXVwv+DRo0wJAhQ9C/f3/k5+er9P5t3LgRhw4dgiAIkEqlGDRoEPz8/N70fwFRmWNmZgaZTKY2\nCbRowy4iKj5tK/Lk5eWpLVYAQGXBA5lMBnt7e8hkMlStWlUco25pacn10A3YS/9kEgRB5/8RFdfN\nmzexYsUKxMXFoaCgAFeuXMHixYvRuXNnteEjgiCgTZs2ar3UtWrV0rjcVH5+Puzs7JCYmIh//vkH\n06ZN09jTJ5PJ8NFHH8HW1lZsq1atmjhx0MTEBA8fPsTt27ehVCpx9epVHDx4UHyvKxQKbN26lTse\nklGRyWRo0KCBSptEIuE6/0RvwNLSUq2taDiLJtbW1qhSpQqqVKmCatWqicOQTU1NUalSJVSuXJnB\n3MBp7TkPCQkpzTqI1Jw8eVLtD7q4uDgcPXpULew+evQIkZGRGDduHDZv3oy0tDTUrVsXo0ePxrZt\n29R6vq2trXH+/HnxviAISE9PV6vBx8cHNjY2cHV1xe3bt1GxYkX069cPlStXxqNHj/D999+LQ2Fc\nXV1VJrA+f+4bN25wPDoZlebNm8POzg6PHj2Cqakp6tSpg6pVq+q7LKIyx9zcXNw8T6lUQiqVolKl\nSpBKpRr34rCysoKZmZkeKiVd0RrOvby8SrMOvSkoKEBoaCj27duHu3fvoqCgAE5OTmjbti2GDRsG\nDw8PfZdotLR901K0pOeLrl+/jr///lscd3fu3DlUqVIFffv2xT///COu+2piYgJ3d3dcv35d7Ryt\nW7fGw4cPoVAo0L59e/j5+WHKlClITk4GACQnJyM4OBiOjo7YsGGDyhj1x48fa/2F6OjoWPwXTlRO\n1K5dG7Vr19Z3GURlnrW1NSpUqACFQgGpVCoOD7a3t0dqaqo4ZLhixYoM5uWAwSy5curUKUREREAi\nkWDBggWlcs2UlBR8/PHHaiEtOjoa0dHR2LVrF2bPno2AgIBSqUeb5ORkjB8/Xq816IOmiZ8mJiY4\nffq0xuPPnTunNv5u7969OHHihEqvuFKpxI0bN7Seo+iPgrCwMBw4cEBtWIwgCJg3b57GyTcPHjxQ\n2+BIKpVizZo1RjXXIjk5GU5OTvoug4io3NC0FPCLQ1s4wbN8MJhwfvfuXezevbvUwrlSqcSECRPE\nYO7r64u+ffvCxsYGly5dwurVq5GRkYEZM2agWrVqaNWqVYnXpIkxBxxTU1NIJBJkZWVBoVCI93Nz\nc9Umm5mZmWmcGANonsGuqVf+xRVcFAqF1tnvRctWvXie54O5RCIRJ90Y2y9MJycno37vEhGVtIKC\nAvEbYeB/GwuZmZlx7fIyzmDCeWnbvXu3uNvkyJEj8fXXX4uPNWvWDJ06dcLgwYORmpqK+fPnY8+e\nPXoJWOvWrSv1axqiZ8+e4YMPPlBZ1rB69eoIDAxE7dq10bJlSyxfvlxtroSTkxPatWuH33//Xe2c\nRQHfxsYG3t7e2L9/v9ox1tbWMDMzQ3x8vNhmYmKCRYsWITQ0FH/99ZfY/uIas4IgwNPTE7/99ttb\nvXYiIqIXaduzIycnh+G8jDOu7rznbNiwAQBQuXJlfP7552qPe3h4iENJ7ty5g5MnT5ZmefSCvXv3\nqq03HhMTA3d3d0RGRiIgIACHDx9W6a21trZGp06d1JZRBAoDdlHPe0ZGBvbv369xMxQrKytUq1YN\nNjY2kEgkcHNzw5QpUzB79myVYF6rVi2NY2v/+ecfPHny5I1fNxERkSbahkoa0xDK8soow/mjR4/E\ndbK7d+8OCwsLjccFBASIu2cdOHCg1OojdUUTMl+0a9curFy5Eo8fP0ZcXBzi4+PRs2dPzJ07FzY2\nNti2bRsiIiIAQPw5u7q6atxF7cXVVCQSCWJjY/HPP/8gIyMDgiDAx8cH0dHRKhNBgcL3lLb3EXdg\nI2Py9OlTnDx5EidOnFBbJSk3N1fj54eIXp+m3nETExMuk1gOGOWwlsuXL4u3X7YqjbW1NerWrYvI\nyEicO3euNEojLdq3b4/Q0FCVNlNTU1y9elXt2FOnTsHR0VFtucX8/HyEhoYiNTUVQUFBas9TKBTw\n9PREZmYmatWqhZiYGPz7778qx4SGhqJx48Zqz1UqlXjvvffUJhe3adOGY6/JaDx8+BDHjx8X7z94\n8ACtWrVC/fr1cffuXfz111/i3BB3d3d06NDB6OZjEOlC0fjyF9nb2/MzVQ4Y5U/w/v374u2aNWu+\n9NgaNWoAKFxfW9NmNlQ6WrVqhY8//lhcIsrOzg5z5szRuKJLXl4e7t27p9auVCoRGhqKiRMnarzG\ngwcPcOfOHTx58gTXr19Hbm6u2jE5OTlo2LChWruVlRWGDx+OadOmoUaNGrCzs0Pv3r0xf/78132p\nRGWWpj+Wr169ipycHJVgDhQGeU2fUyJ6tdzcXI2LIGjaTI/KHqPsOX9+ct+rNoZ5/vFnz57B3d29\nxOqil/vkk08waNAgxMXFwd3dHQUFBWjSpAnOnDmjcpyvry+qVKmCU6dOqbTLZDKNE0Otra2RmZmp\n0paWlgZnZ2eV9woANGnSBMOHD8fly5fFb2BMTU0xdepUVKhQAYGBgQgMDNTFyyUqM5RKJTIyMtQ+\nR0DhH7RxcXEag0RcXBw8PT1Lo0QiojLDKMP58xMLXzU26/ltczXtxEWly87ODnZ2djhw4ADmzZsn\n9m5LJBJIpVJ07doV48ePx7Vr1+Dm5qYyLKVRo0YqQ5qK+Pr6agztNWvWhIODg7iu+jvvvINZs2bh\n33//RYMGDVC1alV4enqiR48eqFSpUgm9YiLD9ujRI5w9exY5OTlaJ6Jp25tA0yRsIno1CwsLSKVS\ntT96CwoKxI2KqOwyynBetHa1VCpVW9D/Rc9P8tO25jWVrvT0dMydO1fl6ztBEPDll1/Czc0N/fv3\nFyec1atXD127dkW7du1w9OhRjeG8fv36MDc3V/s60N3dHVlZWahVqxbatWuHpk2b4uDBg/jmm2/E\nCaVHjhxB3bp1Gc7JKGVnZ+PEiRPi50Hbrr7P70lQxMLCAnXr1i3R+ojKK4lEgipVqiAhIUHl85WX\nl4ekpCRUqVJFj9XR2zLKMedFf1EWZ7mh5/+x4fJEhuHq1asax9X9/fffmDFjhspKELdu3YJSqYS7\nuzv8/f019tQtX74cQ4YMEb9FMTExQdOmTbFixQps3LgRISEhmDx5Mu7evYvg4GCVlV7y8/OxcuXK\nEniVRIbv8ePHGlc+cnNz03i8lZUV3N3d0ahRI/Tu3ZurShC9puzsbCQkJCAxMREKhUJjLtE2Hp3K\nDqMM51ZWVgAKe3Ne9QZ+PgQWTUYk/apatarGdnNzcyQmJqq1//XXX4iJiYEgCPjtt9/UeutSUlKw\ne/du7Nu3D2vWrMF///tftYlq6enpWLNmjdoKMEDh1/pExkjb78SKFStqDA2Wlpbo2LEjWrRowWBO\n9JrS09ORmJiInJwcZGdn49mzZ1q/raKyzSjD+fP/KGjbYUvT4xUrViyxmqj43nnnHfj4+Ki02dnZ\nYcCAARqXkLp//z4CAgLQs2dPLF++HHZ2dmrHpKSk4MGDB2jatCkkEonG+QWPHj1CnTp11NobNWr0\n5i+GqAyrXr06bG1tVdrMzMxQr149jSthcfIn0ZsRBAHp6eka219kaWnJMedlnFGGc2dnZ/G2pp7Q\n5xU9LpFI4OjoWKJ1UfEtXLgQX3/9NTp27IghQ4Zg06ZNaNCgAXr16qVynEQiUZkAfObMGbUVWIpU\nrlwZcXFxCAkJ0TgX4d1338XXX3+tMjTG0dFR4w6zRMZAKpWiR48e4ryLWrVqwc/PD1ZWVvD29ka9\nevVgYWEBGxsbeHl5oV69evoumahMEgRB4xAyQRBUNiOytLSEg4NDaZZGJcAoJ4S+88474u3o6GiV\n+y+Kjo4GALi4uGjdAZJKn6mpKfr374/+/furtE+bNg3169fHqVOnYGtriz/++EPtuWlpaZDJZCqT\naLy9vWFtbY1BgwZpHBrj4uKCjz/+GFWrVkV4eDhOnz4NmUwGb29vvi/IqFlZWaFNmzZq7aampmjd\nujVat26th6rI0KSnp0OhUKjtGktvR6lUqoT2nJwcPH78mHPkdEihUGj81qIkGWU4f34YwsWLF9G5\nc2eNx2VmZuL27dsAgBYtWpRKbfR2pFIp+vbti759+0Iul+PEiRNqm0dZWFiobR/+9OlT7N+/X2Mw\nHzx4MMaPHy+Or7W2toavr2/JvQgiIiIyWkYZzl1dXdGwYUPcuHEDf/zxByZNmqRxYtPu3bvFCaNd\nu3Yt7TLpNTx8+BDr1q3DgwcP0KhRI4waNQqVK1fGoEGDsHbtWpVj7ezs1IYz3bt3D3fu3NF4bldX\nV5iZmeHixYtYunQpoqKi8M4772DSpEl47733Suw1EZV1cXFxePjwIUxNTeHp6alxvgcZB1tbW+Tm\n5qJ69er6LqVMEwQB+fn5kEgkyM3NRWpqqtoxFStWVJsLQm8uJiam1P9/GuWYcwAYOnQogMLdQhct\nWqT2+P379xEcHAygcFmwFycgkuFITEzEqFGjsH//fkRFRWHnzp0ICgqCXC6Ht7e3uLqLmZkZBg0a\npHVX2KZNm6q1mZiYoG3btkhISMDnn3+O27dvQxAE3LlzBxMnTtQ6fp3I2EVGRmL//v24ffs2rl+/\njrCwMDx79kzfZRGVaRKJBObm5jAzMxNXnnuRtnYqO4w2nPfp00ccqrJlyxZ8/PHHOHbsGC5fvoy1\na9di0KBBSE1NhYmJCb799ttXblZE+rNv3z618WDR0dE4cuQIJk6ciKdPnwIoXJM8NDQUTZo0UTuH\nk5MTrly5glatWsHc3BxA4ao+06dPh4uLC44cOaK2tnpeXh4OHz5cQq+KqOxSKBS4cuXKK9uI6M1J\npVK1b/3NzMy4Uks5YDCJ85133kFAQECpXU8ikSA4OBijR4/GjRs3cPLkSZw8eVLlGFNTU8yaNQtt\n27Yttbro9WmbqHH58mWVlVqAwskz8fHxmDFjBhYuXAiFQgEHBwfEx8dj3759AIBq1arhm2++QcOG\nDWFlZYXExEStQ140Ld1IZVNWVha2b9+u7zLKNEEQxKXdNO2o/OTJE/4/1qGsrCzY2NjouwzSk9zc\nXLXPWX5+PnJzc2FpaamnqkgXDCact2vXDu3atSvVa9rb22PHjh0IDQ1FeHg47t27h+zsbDg6OqJV\nq1b46KOPuC5vGdChQwds2rRJpc3U1BQNGjTArl271I6/cuUKsrOzYWNjAxMTEyQlJak8HhcXh9u3\nb8PLywu7d+/Gd999p3H7cUtLS85FKCecnJz0XUKZV1BQgLS0NHGejkQiUVuD2dzcnGFSh2xsbPje\nNWKa/gAuamc4L9sMJpzri0wmw+DBgzF48GB9l0JvqEmTJpg4cSJ+/fVXZGdnw97eHlOnToW3tzd+\n/fVXtXHht27dwq1btwBAHMLyopiYGKSkpOD7779XC+YymQz169fHZ599xrXvy4l169bpu4QyTS6X\nw9/fX2XHZUEQYG5uLg4Hc3Nzw6pVq/iZIdKR59c3fx53My/7tIZzbcsL6oJEIsGRI0dK7PxkfCQS\niRiis7OzkZCQAHNzc6xYsQJLly7F1atXoVQqkZmZqfK8vLw8mJiYqG3ucOfOHezbt09jz0THjh2x\ncOHCknsxRGXMjRs3kJCQoNberFkzREZGQiKRIDQ0lGNhiXTI0tISFhYWyM3NFdssLCy490Y5oDWc\nx8bGlsgi9oIgcHF80qmoqCgsWbJEvJ+Xl4cffvgBLVq0QO3atfHpp58CAKZMmaIWzgFg1KhRWLdu\nnUqvX2RkpLjG/Yu4FBiRKm1DVe7fvy/OCVmyZAkmTpzIyfVEOqJUKiGRSMT/rKysYG9vrzFjKRQK\n5ObmQiqVwtzcnDnMwL30t+SL4wWJDNHp06c1th84cABnz55FVFQUAGhdY1kqlSI4OBhjx45VaVco\nFKhWrZrKmuiOjo4YMGCAjionKh88PDzg5eWFCxcuiG0SiURl6cTt27fD3t4eo0aN0keJROVOQkKC\n+O2uIAjIzMyEpaWl2njzrKwslblV5ubmcHR05IIGBkxrOA8JCSnNOojemIODg8b2c+fOicEcANLS\n0lChQgW1HUNXrVqlcY1zoHADojFjxuDixYtwdnZG3759tV6PyJh9//33WLduHc6ePQt7e3ucP39e\n7ZiDBw8ynBPpQH5+vsZhl5mZmTA3N4dcLoepqSkEQUBycrLKMXl5ecjIyOCmYAZMazj38vIqzTqI\n3li3bt2wfv16xMbGim2urq64e/eu2rH5+flo1aoVzp07p9J+5coVODg4qK3c0r59e/j5+cHPz69k\niicqJypUqIAJEyZgwoQJyMzMROfOnVWGigHaJ2AT0asJgoC8vDxxh1BNCgoKEBsbC0EQYGJiAhsb\nG42jIF7ct4MMC7/ToDLPysoKv/32GwYPHozmzZtjyJAh+O233zSuCuHo6Kh1UlpQUJC4m6iJiQl6\n9uyJ/v37l2jtROWRtbU1unfvrtYeGBioh2qIyj5BEJCYmIhnz54hNTUVKSkpGgO6XC4Xw7hSqVTb\n66MI534YNv50qFxwdHTEF198odI2YsQILFq0SKVt+PDhEAQBZ86cUWl3cHBA79690adPH9y7dw+V\nKlXikm9Eb2Hs2LG4du0aHj9+DABo0aIFevbsqeeqiMqm3Nxc5OTkqLQJggBTU1MUFBTAxMQEpqam\nGnvEn1/SFCjsfLK1tS3xmunNMZxTudWvXz84ODhg3759kEgk8Pf3h4+PDxQKBaKiorB7924AhRvQ\nzJ8/X+xJqFOnjj7LJioXFixYIAZzALh48SJCQkIwcuRIPVZFVDZp23CoaE3zgoICjZvlAYWrKdnY\n2CAnJwcymQwVKlRgz7mB40+HyrWOHTuiY8eOKm1SqRTTp0/HyZMnIZfLsWfPHv6iItKh1NRUnD17\nVq39wIEDDOdEb0DbxkLPL3Dw4hwPoHD4iqWlpbjUIpUNWhOJpvGCunTw4MESPT+RNkqlEj/88IM4\n+bNfv36YO3cu3n33XT1XRlQ+yGQySKVSTggl0hELCwtYWlqqDG2RyWQae8uLgry5uTlsbW25pnkZ\npDWc//vvvzr5gWqaJcw3CunTnj17EBoaKt5//PgxvvrqK+zbt4896ESvKTc3F9u3b8e5c+fg5OSE\nIUOGwNPTE926dcP+/ftVju3bt6+eqiQq2yQSCSpXrozc3Fzk5+eLY801Tfi0srLimPIyrlQ2IXo+\njHNjI9K3P//8U60tISEBkZGRaNy4sR4qIiq7pk2bhlOnTon3jx49ipCQEEyZMgUPHz4Ud9rt0qUL\nAgIC9FUmUZknkUhUNhmSy+VIT09XyVUcvlI+aA3nR48efeuTp6amYsGCBbh06ZJKQO/Ro8dbn5vo\nTWnrUeCGDESv5/79+yrBHCjsSQ8NDUVWVpYYzAHgyJEj2LVrF3vPiXREJpPB0dERKSkpKCgogKmp\nKezt7fkNcDmg9Sfo4uLyVic+fPgwZs+ejaSkJEgkEgiCgMqVK2PWrFno0qXLW52b6G0MGDAAhw4d\nUhmr16ZNG9SsWVN/RRGVQS9u2lXk6dOnGieE7t69m+Gc6A0JgiAOazEzM4OFhQUsLCxQrVo1CILA\nIcPliM43IUpOTsakSZPw2WefISkpCYIgQBAE9OrVC3/88QeDOeldw4YNsWrVKpibm0Mmk2H06NFY\nvHixvssiKnMaNWqk8Zuoli1bQqlUqrVzV0KiN1O0CVFCQgLS0tKQkJCAxMREcUgLg3n5otNwHhER\ngZ49e+LAgQNiKK9SpQpWrVqFxYsXc9gAGYwmTZqgYsWKcHBwwJgxY2BhYaHvkojKHAsLCyxYsACV\nKlUCULi5SZ8+fTBw4EC0bt1a7fj333+/tEskKhc0bUKUk5OD3NxcPVVEJUknA5OSkpIwa9YsHDly\nBMD/Jn0GBgZi2rRpsLa21sVliIjIwLRq1Qp//PEHoqKiUKVKFVSpUgUAMGvWLMybNw8nT56ERCLB\nBx98gA8//FDP1RKVTdo2IcrOzkZaWpo41KVixYrsbCoH3jqc7927F/Pnz1eZMezs7Iw5c+bA29v7\nrQskIiLDZmpqioYNG6q0VapUCT/99JO4AMAXX3yhj9KIyoXibEKUn5+PhIQEODs7QyqVllZpVALe\nOJw/e/YMM2fOFJelK5qMMGDAAHz11VeoUKGCzookKglFk2uCg4PRuHFjeHt7QyKRIC8vD6Ghofj7\n779RtWpVDB48mJNFid4Qx8ISvb3ibkIkCAKysrJeus65UqmEQqGATCbj59NAvVE437VrFxYtWoSM\njAyxt9zV1RXz5s1Dq1atdFogka5kZmaiQoUKkEgkyMnJQXJyMuRyOTZs2ACgcInPOXPm4KuvvsKZ\nM2fE5x06dAibNm1C9erV9VQ5Udn06NEjZGVlQSKRIDU1FRUrVtR3SURlkkQiQaVKlZCdnQ2FQgEz\nMzOtmxABhcNdMjMzARRuSlQ0vDg1NVXMblKpFA4ODhwGY4Bea0Lo06dPMXr0aEyfPl384UokEgwd\nOhT79u1jMCeDdObMGfTt2xc+Pj4ICAjAiRMnEB4ertbjEBERgQMHDqgEc6Aw1D+/oygRvdqBAwcw\ncOBAZGZmIiMjA4GBgbh//76+yyIqk7KyshAXF4eUlBRkZGRALpeLnU3PK7qfmJiI3Nxc5ObmIjk5\nGWlpacjOzlYZgqxQKJCYmKhxZSXSr2L3nIeGhmLx4sXIysoSf7Bubm6YP38+WrRoUWIFEr2N+Ph4\nfPnll+JkmsePH2Pq1Klal/S8efOmxvbExMQSq5GovJHL5Vi6dCkUCoXYlpaWhtWrV3PZUiOmUCgQ\nExOj7zLKnBd3VhcEAampqUhNTVV5vGhPmaL252nrYVcqlXj8+DGHt7zE87/HSssrw3lsbCxmzJiB\nc+fOiW8AExMTDB8+HBMnToS5uXmJF0n0po4dO6Y2y10ul6OgoEDj8d26dUNYWBiys7NV2tu0aVNi\nNRKVN8nJyRr/oL1z544eqiFD4OTkpO8Syqzs7GxkZGSotVtZWSE3N1el59vExERcyvpFL45ZL2Jv\nb691wikVKu33yrlN2gAAIABJREFU70vD+ZYtW/Djjz8iJydH/EHXqlULCxYsQJMmTUqlQKK3oe0X\nzq1bt9TahgwZgoYNG2LOnDmYPXs2MjIyIJFI4O/vDz8/v5IulajccHBwgJOTE+Lj41Xa69Wrp6eK\nSN/WrVun7xLKrEOHDuE///mPWnvr1q1x9OhRlTalUonGjRvj6tWrKu1eXl6YMmUKhg0bprIZWP36\n9RESElIyhdMb0xrOhw0bhosXL6p8XdKiRQuMGzcOSqUSly9ffqsLN2vW7K2eT1QcXbp0wS+//IL0\n9HSxzczMDE+ePFE5zsLCAp988gkAwMfHB61atcKtW7dQtWpVVKtWrVRrJirrpFIpJk+ejP/85z/i\n3A4HBwfxM0ZExefj44Pq1aurDAlycHCAu7u7xuPfe+89yGQyXLp0CQDg6emJGTNmwNnZGatXr8b6\n9evx5MkTtGjRAqNHjy6V10CvRyJo+u4DQN26dUtsDJJEItE6tresevz4MTp37oyjR4/C1dVV3+XQ\nc+7cuYPg4GDcvn0bnp6eyMrKwvXr19WOW7NmDZo2baqHConKp7i4OHzwwQcwMTHB3r17uSEd0RtK\nTEzE+vXrERkZCQ8PD3z00UdQKBTo37+/yrAWqVSK0NBQuLm54eHDh1AoFKhdu7YeKydNXpUZXznm\nXEt2JyozPD09sWzZMvH+4sWL1cK5VCqFi4tLaZdGVK5Vq1ZN3POCwZzozVWuXBlffvmlWvu3336L\nWbNmQRAE2NvbY+LEicjNzcXIkSNx7do1ODs749NPP4Wvr68eqqY3pTWcv/fee6VZB1GpGTJkCA4d\nOqQyo71///7ituNERESGJi8vDzk5OSr7Bfj5+eGXX36BQqFAeHg4FAoFevfujaSkJADAkydP8M03\n38DV1VVtF18yXFrD+aZNm0qzDqJS4+Ligm3btqFfv35QKpWYM2cOOnbsqO+yiMq0GzduYOnSpbh1\n6xbq1KmDzz77jAsHEOnIihUrsH37dmRnZ6NBgwaYNWsW3N3dkZWVhezsbMjlcuzYsQOOjo5iMC8i\nCAIiIiIYzsuQN9ohlKisc3R0FL9mZzAnejvJyckYN24csrKyAADXrl3DhAkTsGvXLj1XRlT27d27\nV2W1m8jISEyePBnbt29HUFCQuBPo0qVLtQ7PlEqlpVIr6cZr7RBKRET0oiNHjojBvEhOTg4OHTrE\neUtEb+nw4cNqbdHR0di8eTOioqJU2mNjY2FnZ6fSJpVK0bNnzxKtkXSL4ZyIiN6Ktu2/IyIi8OzZ\nMzx79gwrV67kNuFEb8DCwkJje0pKisb2Hj16wNvbG1ZWVqhTpw5++OEH1KlTpyRLJB177WEtDx8+\nxNmzZ3Hu3DlER0eLW8hKJBLY2NigUqVKqF+/Pho1aoQuXbqgcuXKJVE3kU7l5+fj+PHjiI+PR8uW\nLfmLjOg1dOnSBcHBwcjNzRXbTExMxF49QRCwdu1a2NjYYOjQofoqk6hM6tevH06cOKHyLZSXlxc6\nd+6Mbdu2qR3fpUsXNG7cuDRLJB0rdji/evUqfv75Z5w9e1btsaI3TE5ODhISEhAVFYXdu3dj3rx5\naN++PSZOnAhPT0/dVU2kQ+np6QgKCsK9e/fEtrFjx2LUqFF6rIpIsyVLluDIkSP6LkONpaUl5HI5\n5HI5pFIpFAqF2jHBwcEaw4Qh6dKlCyZNmqTvMohELVu2xPfff4+QkBAkJSWhbdu2+PTTT2FtbY1h\nw4aJC3hIJBIMHTqUwbwcKFY4X7RoETZu3Ajg1eueP/+4XC7H8ePH8eeffyIoKAiff/75W5RKVDJC\nQ0NVgjlQuCFR7969+c0PUTGZmZnBwcEBgiBAEAQkJCTouySicsPHxwc+Pj5q7Z9//jkiIiIgl8ux\nceNGboJYTrw0nCuVSkyZMgX79+8XQ7dEIkGDBg3g5eUFd3d3ODg4wNLSEvn5+cjIyEBycjIiIyPx\nzz//4N9//4UgCFAoFFi1ahWePn2KhQsXlsoLIwKArKwsnD59GlKpFN7e3ipj9woKCqBQKDTuFiqX\ny3H37l2GczI4kyZNKhM9u19//TWOHj2q0jZp0iQMHDhQTxURlU8ymQwymYzBvBx5aThfv349IiIi\nIJFIAADdu3fH559/jlq1ahXr5JcuXcJvv/2G48ePQxAEhIWFoWHDhhgyZMjbV070Cjdu3MDnn3+O\ntLQ0AIU7rK1cuRLVqlXD5MmTkZycDAA4d+6c2nOlUik8PDxKtV6i8mTmzJmwtbXFkSNHYGVlhQED\nBmDAgAH6LouIyOBpDecpKSnilucmJib49ttvX/sXa/PmzdG8eXPs3LkT3377LZRKJZYtW4Y+ffqI\nWzoTlZTFixeLwRwAEhMTsXTpUjRt2hTnz58X2xUKBSQSicqQrBEjRnDHUKK3UKFCBUyfPh3Tp0/X\ndylERGWK1nC+f/9+5OXlQSKRYOzYsW/V49G/f3/ExsZi1apVSE9Px9GjR9GrV683Ph/Rq8jlcty8\neVOt/Z9//tG4nJsgCBgxYgTMzMzQqlUrNGrUqDTKJCIiIlKhdZ3zEydOAADs7OwQFBT01hcaPXo0\nrKysAACnT59+6/MRvYxMJtO4U1rNmjU1tpuYmKBfv34ICgpiMCciIiK90RrOHz16BIlEAi8vL5iZ\nmb31haytrdGkSRMIgoA7d+689fmIXmX8+PEwMfnfW9zU1BRjx47F4MGDYWtrq3Js7969UbVq1dIu\nkYiIiEiF1mEtRZPlqlevrrOLvfPOO/jrr7/w9OlTnZ1T1/bs2YOvvvoK3t7eWLt2rb7LobfQtWtX\nVK9eHQcPHoRUKoWfnx/c3d0BAJs3b8agQYOgVCoxY8YMdO/eXc/VEhEREb0knBft9PZiD+PbsLGx\nAVC4vJ0hiomJwYIFC/RdBulQ3bp1UbduXbV2Z2dn8f3o6+tb2mURERERaaR1WItcLgcAnQxpKVI0\n5rzo3IYkPj4eI0aMQGpqqr5LISIiIlIRFxeHGzduGGSGIt3SGs6NyZUrV9C/f388fvxY36UQERER\nieRyOWbMmIFevXphxIgR8PPzw8WLFwEULnudmZmJlJQU/PLLL0hJSdFztaQLRh3Oc3NzERwcjGHD\nhiE+Pl5l8iARERGRvu3cuRMHDhwQ9+JISkrC9OnTkZGRgVGjRiErKwv5+flYv349Ro0aJQ5LprLL\naNPov//+C19fXyxfvhwFBQWwtrbGypUr9V0WERERkejMmTNqbUlJSdi8eTOio6NV2qOjo3H06NHS\nKo1KiNGG86dPnyIuLg4A4OPjg/DwcPj4+Oi3KCIiIqLnVK5cWa1NIpEgLy9P4/HPnj0r6ZKohGld\nraVIRESEztYlv3fvnk7OowsSiQTNmjXD+PHj0bZtW32XQyUoKysLe/fuxYMHD9CwYUP06NEDpqam\n+i6LiIjolT744AMcPnxYJYx37doVvr6+2Lx5s9rxrVu3Ls3yqAS8MpzfuHEDN27cKI1aSlWLFi2w\nbds2fZdBJSwnJwcjR47E/fv3AQC7d+/GoUOHEBwcrOfKiIiIXq1OnTpYu3Yttm3bhoSEBLRt2xYD\nBw6ETCbDuHHj8MsvvwAo3Gjvk08+0bh8MJUtLw3nRZMPyiNO/jQO+/fvF4N5kfPnz+PChQt6qoiI\niOj11K1bF7Nnz1Zr/+ijjxAaGgq5XI4dO3agUqVKeqiOdE1rOB8/fnxp1lFsx48fx5gxY177eS4u\nLjh27FgJVESG7MXJMkXCw8ORmJgIhUKBL7/8ElOmTIGTk1MpV0dERFQ8YWFhOHDgAExNTdG3b190\n7NgRQGFno5mZGYN5OVLmwjnR62jSpInGMXn79+8Xbx8/fhyxsbHYunVraZZGRERULGvWrMHq1avF\n+2fPnsWsWbPQs2dPPVZFJeWVY851KTU1Fbt370ZoaKhKOHodHh4emDx58ms/z9ra+o2uR69nyZIl\nOHLkiL7LEAmCAAsLC5V1X6VSKRQKhcpxd+7cQbdu3Qx+omiXLl0wadIkfZdBRESlRKFQaOw82rRp\nExo2bIjU1FTI5XJMmzYNn3zyCWrWrFn6RZJOlUo4v3jxIrZv345Dhw6hoKDgrc5Vo0YNBAUF6agy\nKu8kEgns7OxgZWUFuVwOU1NTZGZmqoVzIiIiQySXy5GZmanWnpycjKCgIHEVl8OHD+PSpUv4/fff\nYWtrW9plkg6VWDhPT09HWFgYduzYgQcPHgD43wRTiURSUpclPZs0aZLB9+yeOHECU6ZMUWmrXbs2\ntm/frqeKiIiINDM3N4eXlxfOnz+v0l6jRg1cvXpVpS05ORmHDx9GYGBgaZZIOqbzJUuuXLmCqVOn\non379li4cCEePHgAQRDEYC6TydC5c2ddX5ao2Hx8fDB16lQ4OTlBKpXC29sbS5Ys0XdZREREGn3z\nzTeoV6+eeL9ly5bw8vLSeGxWVlZplUUlRCc955mZmdizZw+2b98ubjT04jKM9evXR58+feDv7w97\ne3tdXJbojfXr1w/9+vXTdxlERESvVLVqVWzatAmPHj2CqakpXFxcEB0djXXr1qkM05RKpeIqLlR2\nvVU4v3btGnbs2IGIiAhxwt3zobxy5crw9/dHnz59UKdOnberlIiIiMiIPT/Zs0aNGpg9ezZmzpwJ\npVIJBwcHTJo0CdWrV9dfgaQTrx3Os7KysG/fPuzYsQO3b98GoN5LLpFI0KlTJyxbtgxSqVQ3lRIR\nERGRyNfXF8uWLYNSqUR4eDhkslJdhI9KSLF/ijdv3sT27dsRHh6OnJwcAKqhvFGjRujbty9mzZoF\nALC1tWUwJyIiIipBEokEUqmUwbwceelPMicnB+Hh4dixYwciIyMBqAZyR0dH9O7dGwEBAfDw8AAA\nMZwTEREREdHr0RrOZ8+ejX379omzfotCuZmZGTp16oSAgAC0a9cOJiY6X/CFiIiIiMgoaQ3n27Zt\ng0QigSAIkMlk8PLywvvvvw9fX1/Y2NiUZo2lKioqSt8lEBEREZGReuUAJTs7O4wePRpdunSBu7t7\nadRERERERGSUXjomRRAEpKen46effkKPHj3QvXt3/PTTT+xdJiIiIjIACoUCeXl5SEpK0ncppCNa\nw3lERARGjRqFypUrizt8RkdHY82aNejTpw/69u2LTZs2ITk5uTTrJSIiIiIAa9euRWJiIlJTU+Hn\n54d169bpuyTSAa3hvFatWvjyyy/x559/YvXq1ejWrRtkMpkY1G/duoUFCxagffv2GDduHI4cOQK5\nXF6atRMREREZpVu3bmHlypXifblcjhUrVuDWrVt6rIp04ZVjzk1MTNChQwd06NABqamp2Lt3L8LC\nwnDz5k0AhW+GY8eO4dixY7CzsyvxgomIiIiM3dmzZ7W216tXr5SrIV16rXUQK1asiA8//BC7du1C\nWFgYhg0bBnt7e7E3PTU1FRKJBABw4sQJLF68WAzxRERERKQbTk5Or9VOZccbL1Jet25dTJ8+HadO\nncLy5cvh4+MjDnsBgNTUVKxfvx6BgYHo0aMHVqxYgejoaJ0VTkRERGSsOnfuDDc3N5U2Nzc3dO7c\nWU8Vka5IhOe3/HxLSUlJCAsLQ1hYGO7evfu/i/x/bzoANGzYEP7+/vjwww91dVmD8PjxY3Tu3BlH\njx6Fq6urvsshIiKici41NRW9e/dGQUEBhg0bhg8++AAVK1bUd1n0Cq/KjDrd3tPBwQGjRo3Cvn37\nEBoaioEDB8LW1lYc9iIIAq5fv46FCxfq8rJERERERqdixYqwtraGvb09xo4dy2BeTug0nD+vUaNG\nmD17Nk6fPo0ff/wRbdu2hYlJiV2OiIiIiKjMe+VqLW/LzMwMfn5+8PPzQ3x8vDiZlIiIiIiIVJVq\nV7aTkxPGjh2LgwcPluZliYiIiIjKBI4zISIiIiIyEAznREREREQGguGciIiIiMhAMJwTERERERkI\nhnMiIiIiIgPBcE5EREREZCAYzomIiIiIDATDOREREVEZlJubi+zsbKSnp+P3339Hbm6uvksiHWA4\nJyIiIipj5HI5xo4di4yMDOTk5GDRokUYO3Ys5HK5vkujtyTTdwFEREREhmTJkiU4cuSIvst4qdzc\nXKSlpam0Xb9+Hd27d4eFhYWeqiqeLl26YNKkSfouw2Cx55yIiIiojNHWQ86e87KPPedEREREz5k0\naZLB9+xeunQJn3zyiVr7kiVL0KxZMz1URLrCnnMiIiKiMqZ58+bo37+/Slv//v0ZzMsB9pwTERER\nlUFff/01AgMDERUVhTp16qB27dr6Lol0gOGciIiIqIyqXbs2Q3k5w2EtREREREQGguGciIiIiMhA\nMJwTERERERkIhnMiIiIiIgPBcE5EREREZCAYzomIiIiIDATDORERERGRgWA4JyIiIiIyEAznRERE\nREQGguGciIiIiMhAMJwTERERERkIhnMiIiIiIgPBcE5EREREZCAYzomIiIiIDIRM3wXokyAIOHr0\nKPbs2YPr168jKSkJMpkMzs7OaN26NYYNGwY3Nzd9l0lERERERsJow3l6ejomTZqE06dPq7Tn5+fj\n3r17uHfvHrZv345p06ZhyJAheqqSiIiIiIyJUYZzQRAwYcIEnDt3DgDQsGFDDBkyBB4eHsjNzcXZ\ns2cREhKCrKwszJkzB9bW1ujdu7eeqyYiIiKi8s4ow3lERIQYzH19ffHjjz9CJvvf/4qWLVuiZ8+e\nGDx4MNLS0rBgwQJ07twZ1tbW+iqZiIiIiIyAUU4I/e9//wsAsLCwwKxZs1SCeZHatWtj7NixAIDU\n1FT8+eefpVojERERERkfowvngiDg8uXLAIBmzZrB3t5e67Ft2rQRb9++fbvEayMiIiIi42Z0w1ry\n8/Px6aefIj4+HrVq1XrpsYIgiLfz8vJKujQiIiIiMnJGF87Nzc0RFBRUrGMvXLgg3nZ2di6pkoiI\niIiIABjhsJbiysvLw8aNG8X77dq102M1RERERGQMGM61+O677/D48WMAQPv27eHh4aHnioiIiIio\nvCtzw1qOHz+OMWPGvPbzXFxccOzYsWIdu2HDBmzZsgUAYGVlhWnTpr329YiIiIiIXhd7zl+wadMm\nLFq0CAAgkUgwb968V04cJSIiIiLShTLXc+7h4YHJkye/9vOKs4FQcHAwli9fLt6fOnUq/Pz8Xvta\nRERERERvosyF8xo1ahR7tZXiKigowMyZM7Fr1y4AhT3m06ZNw/Dhw3V6HSIiIiKilylz4VzXMjIy\nMH78eJw7dw4AIJPJMHfuXPTt21fPlRERERGRsTHqcJ6YmIiRI0ciKioKQOHkz6VLl6JDhw56royI\niIiIjJHRhvOUlBQMHz4c9+7dAwA4ODhg9erVePfdd/VcGREREREZK6MM50qlEp999pkYzF1cXLB+\n/Xq4ubnpuTIiIiIiMmZGGc7XrVuHCxcuAAAqVqyIkJAQuLq66rkqIiIiIjJ2RhfOMzMz8euvv4r3\nR4wYgYyMDNy6deulz7Ozs4Ozs3NJl0dERERERszowvmBAweQlpYm3l+6dCmWLl36yucFBASImxMR\nEREREZUEo9sh9ObNm/ougYiIiIhII6PrOZ85cyZmzpyp7zKIiIiIiNQYXc85EREREZGhYjgnIiIi\nIjIQDOdERERERAaC4ZyIiIiIyEAwnBMRERERGQiGcyIiIiIiA8FwTkRERERkIBjOiYiIiIgMBMM5\nEREREZGBYDgnIiIiIjIQDOdERERERAaC4ZyIiIiIyEAwnBMRERERGQiGcyIiIiIiA8FwTkRERERk\nIBjOiYiIiIgMBMM5EREREZGBYDgnIiIiIjIQDOdERERERAaC4ZyIiIiIyEAwnBMRERERGQiGcyIi\nIiIiA8FwTkRERERkIBjOiYiIiIgMBMM5EREREZGBYDgnIiIiIjIQDOdERERERAaC4ZyIiIiIyEAw\nnBMRERERGQiGcyIiIiIiA8FwTkRERERkIBjOiYiIiIgMBMM5EREREZGBYDgnIiIiIjIQDOdERERE\nRAaC4ZyIiIiIyEAwnBMRERERGQiGcyIiIiIiA8FwTkRERERkIBjOiYiIiIgMBMM5EREREZGBYDgn\nIiIiIjIQMn0XoE8KhQJ79+7Fnj17cOvWLWRlZcHR0RHvvvsuAgMD0aFDB32XSERERERGxGjDeWpq\nKsaMGYMrV66otD958gRPnjzBwYMH0b17d3z33XewtLTUU5VEREREZEyMMpwrlUqMHTtWDOZNmzbF\n4MGD4eLigsePHyMkJAQ3btzAwYMHIZVKsWTJEj1XTERERETGwCjHnIeFheHy5csAAF9fX2zbtg29\nevVC8+bN0bt3b+zcuRPe3t4AgIiICPFYIiIiIqKSZJThfOfOnQAAU1NTzJo1CxKJROVxExMTfPHF\nF+L9/fv3l2p9RERERGScjHJYi6enJwoKCuDg4AB7e3uNx3h4eIi34+LiSqs0IiIiIjJiRhnOZ8+e\n/cpjYmNjxduOjo4lWQ4REREREQAjHdbyKgqFAj///LN4v0ePHnqshoiIiIiMhVH2nGuiUCjw7Nkz\nXL58GWvXrkVkZCQAYODAgXjvvff0XB0RERERGQOG8//n6+uL6Oho8b65uTkmTpyIESNG6K8oIiIi\nIjIqZS6cHz9+HGPGjHnt57m4uODYsWMaHxMEQW3SZ15eHvbv3w83Nzd07tz5jWolIiIiInodHHMO\nID8/HwsWLEBoaCg2bNiA0aNHw9LSEteuXcO4ceOwZcsWfZdIREREREagzPWce3h4YPLkya/9PGtr\na62PmZubo1evXuL91q1bo2fPnhg2bBgyMjKwYMECtG7dGrVq1XqjmomIiIiIiqPMhfMaNWogKCio\nxK9Tr149TJw4EXPnzoVcLseePXswadKkEr8uERERERkvDmt5iW7duom3o6Ki9FgJERERERmDMtdz\n/rYUCgViY2MRHR0NV1dX1KxZU+uxFStWFG8XFBSUQnVEREREZMyMruf85s2b6Nq1K0aNGoWQkJCX\nHhsTEyPerlq1akmXRkRERERGzujCeZ06dWBjYwMAiIiIQHZ2ttZjf//9d/F227ZtS7w2IiIiIjJu\nRhfOzczM0K9fPwBASkoK5s+fD6VSqXbcwYMHsXHjRgBAzZo10bVr11Ktk4iIiIiMj9GNOQeA8ePH\n4/jx43j06BF+//13REVFYejQoahZsyZSUlKwf/9+7N27F4IgwNLSEj/88ANMTU31XTYRERERlXNG\nGc6tra2xfv16jB8/HpGRkbh+/Tq+/vprteOqVq2KZcuW4d1339VDlURERERkbIwynAOAs7MzduzY\ngb179+KPP/5AZGQkMjMzYW1tDU9PT3Tp0gUDBgyApaWlvkslIiIiIiNhtOEcAExNTREYGIjAwEB9\nl0JEREREZHwTQomIiIiIDBXDORERERGRgWA4JyIiIiIyEAznREREREQGguGciIiIiMhAMJwTERER\nERkIhnMiIiIiIgPBcE5EREREZCAYzomIiIiIDATDORERERGRgWA4JyIiIiIyEAznREREREQGguGc\niIiIiMhAMJwTERERERkIhnMiIiIiIgPBcE5EREREZCAYzomIiIiIDATDORERERGRgWA4JyIiIiIy\nEDJ9F1BeKBQKAMDTp0/1XAkRERERGaqirFiUHV/EcK4jCQkJAIAhQ4bouRIiIiIiMnQJCQlwc3NT\na5cIgiDooZ5yJzc3Fzdu3ICjoyOkUqm+yyEiIiIiA6RQKJCQkICGDRvCwsJC7XGGcyIiIiIiA8EJ\noUREREREBoLhnIiIiIjIQDCcExEREREZCIZzIiIiIiIDwaUUSathw4bhwoULAICJEydi7NixxXre\nnDlzsGXLFgDA0aNH4erqWmI16tvt27dRt25dtfai/3dmZma4fv26HiojfTD2z8yuXbswbdo0AMD4\n8eMxYcIEnTzv+f+v2piamqJChQpwcXHBe++9h759+6JOnTqvvPa///6LP/74A6dOnUJsbCySk5Nh\nZWWFSpUqoUGDBmjXrh3ef/99mJubF+u1UPk3depU7N69GwAQEhKCli1bvvXzXvVelUgkMDMzg62t\nLdzd3dGmTRsMHDgQlSpVeuV1L168iEOHDuH8+fN49uwZMjIyYGdnBwcHB7Ro0QKdOnWCt7d3sV4D\nlQ6GcyqWFStWoFu3bvDw8NB3KQYhISEB3333HS5fvoxjx47puxwyQPzMlK6CggKkpqYiNTUVkZGR\nCAkJQVBQECZNmqTxeKVSiZ9++gkbNmxAQUGBymNpaWlIS0vDw4cPER4ejmXLlmHGjBno1KlTabwU\nIjWCICAvLw8JCQlISEjAhQsXsGbNGixevBhdunTR+Jzk5GTMmDEDR48eVXssMTERiYmJiIqKwpYt\nW9CsWTPMmzePv68MBMM5FUt+fj6mT5+OrVu3wsSEo6GmTJmCc+fOwcXFRd+lkIHiZ6Zk/Prrr6hS\npYpau1wuR0ZGBs6fP4+NGzciJycHq1atgr29PUaMGKF2/Jw5c7Bt2zYAgIeHBwICAlCvXj3Y2dkh\nPz8fMTExOHbsGA4dOoTY2FhMmDABP//8s9YgRKQLjo6OWLNmjcbH8vPzkZSUhIiICISHhyMrKwuf\nffYZduzYgXfffVfl2OzsbAQFBYnf3LZp0wa+vr5wd3eHpaUlsrOzcffuXYSFheH69eu4fPkyhg8f\njq1bt6JGjRol/jrp5RjOqdiuXLmCkJAQjf/QGRulUvnSxzdt2lRKlZAh42dG9zw8PF467KdNmzZo\n06YNRo4cCblcjp9//hn9+vWDtbW1eMylS5fEYN6jRw98//33kMlU/zls3rw5+vTpgz///BPjxo1D\nQUEBpk+fjjZt2sDKyqpkXhwZPTMzM9SrV++lx3Tq1Am1a9fGkiVLoFAo8N1332Hz5s0qx2zYsEEM\n5jNmzMCwYcPUztOyZUsMGTIEP//8M1auXImEhATMnj0ba9eu1d0LojfC7hx6JRMTE/EfrqVLlyIm\nJkbPFRFi78kDAAAgAElEQVQZNn5m9Ktly5bw9fUFUNiD+OLX+tu3bwdQGIRmz56tFsyf16FDB3z0\n0UcAgNTUVOzZs6eEqiYqvo8//hjOzs4ACseUx8XFqTy+Y8cOAEDjxo01BvMiEokEEydORNOmTQEA\np0+fxv3790uoaiouhnN6JZlMhlGjRgEAcnJyMGPGDD1XRGTY+JnRv/bt24u379y5o/LYvXv3AAAO\nDg6wtbV95bkCAgLE21FRUcW6/vLly1GnTp1iTUolel1SqRRt2rQBUDge/fn3eGZmJp4+fQoAqFmz\nZrHO16dPH/F2cd/jw4YNQ506dV4a/unNcFgLFcv48eNx+PBhPHjwAOfOnUNoaCgGDBjwxue7f/8+\nNm/ejLNnzyI+Ph6CIKBq1apo2bIlhg0bhtq1a7/0+ZmZmdi8eTMOHjyIhw8fQiKRwM3NDT169MCI\nESNw+PBhfPHFFwC0r34RExODnTt34sKFC4iJiUFaWhrMzMxQqVIlNG7cGH379kXbtm1VnvP8bHsA\niI2NFf/xDQgIwKJFiwBoXq1lw4YNWLhwIQBgyZIl6NGjh9bX9/fff2Po0KEAgMmTJyMoKEjl8Zyc\nHGzbtg1HjhzBgwcPkJmZiYoVK6Jhw4bw9/fH+++/z3HOeqbrz8yVK1cQGhqKixcvIj4+HlKpFM7O\nzmjdujWGDBkCd3d3jc8res/WrVsXe/bswaNHj7Bx40acPn0a8fHxsLS0hKenJ/r06YOAgIBy875x\ncHAQb2dkZGg85unTp3j8+PErV8dxd3fHggULYG9vDzc3N53WSfSmivMev3r1KgoKCmBqavrSc3Xs\n2BEWFhaoVKnSK4fVUMkrH7+FqcSZmZlh/vz54j/cixcvRnx8/Buda8WKFfD398fWrVvx8OFDZGdn\nIycnBw8fPsT27dvh7++P5cuXQxAEjc+PiYlBQEAAlixZgps3byInJwfZ2dm4desWfvzxRwQGBiIx\nMfGlNaxevRq+vr5YvXo1rly5gsTERBQUFCArKwsxMTEIDw/HyJEjMWvWrDd6jZr4+/uLX5+Hh4e/\n9Nh9+/YBKBwe0atXL5XHrl27hu7du+O7777DpUuXkJKSgoKCAiQkJOD48eP44osvMHjwYDx79kxn\ntdPr09VnJj8/H9OmTcOgQYOwa9cuREdHIy8vD9nZ2bh37x42bdqEnj17YtWqVa8818GDB9GnTx9s\n3bpVPE9qaiouXLiA//znPxg1ahTy8/Nfu0ZDlJSUJN62t7dXeawofAiCgAkTJryyp1AikSAwMBCd\nOnXiahZkMLS9x62trVG9enUAwKNHjzB16lSVYzVxcnJCnz590L59ezg6OpZMwVRsDOdUbM2aNcOQ\nIUMAFP6V/u233772OZYvX46ff/4ZCoUCHh4emDlzJrZt24Zt27Zh5syZqFmzJpRKJYKDgxEcHKz2\n/IyMDAwdOhTR0dEAgO7du2PVqlXYsWMH5syZgxo1auDOnTv4/vvvtdbw3//+Fz/99BPkcjmqVq2K\nKVOmYN26ddixYweWLFmCXr16iYFq27ZtOHXqlPjczz77DGFhYWjQoAGAwpn1YWFhCAsLw2efffbS\n1+7g4IB27doBAE6ePIn09HSNxxUUFODgwYMACsfOVq1aVXzs7t27GD58uNjjOXLkSKxduxY7d+7E\nsmXL0L17dwCFvawjR45EVlbWS2uikvW2nxmlUonJkydj165dAAAXFxdxBZhNmzZhwoQJsLW1hVwu\nx5IlS7B8+XKt54qLi8OUKVMAAKNHj8aGDRuwdetWTJ48WZws+ddff2HDhg1v8EoNz59//inebtKk\nicpjH374ofiH8s2bN9GrVy8MGDAAq1atwpUrV9SWViQyNHK5HGfOnAFQOMSlUaNGKo8XzZMACjuD\nOnTogDFjxmDr1q0cU14GcFgLvZYvvvgCx44dQ2xsLI4fP459+/bB39+/WM+NjIzEihUrABSG6h9+\n+AFmZmbi482aNUNgYCDGjBmDs2fP4pdffsH777+vMsRl+fLl4li6F4d7NGnSBH5+fhg9ejSuXLmi\nsQZBELBs2TIAgK2tLTZv3iz2MBSdo0ePHmjcuDHmzp0LADhw4IAYqp2dneHs7IwKFSoAKN7M+uf1\n7t0bx48fR0FBAQ4dOoR+/fqpHXPq1CmkpqYCUB0HCABffvklsrOz4eDggE2bNqn04jVq1Ajdu3dH\naGgovvnmG9y9excrV64UAxnpx9t8ZsLDw3Ho0CEAhZ+PNWvWqKw64uXlhYCAAAwbNgyxsbH45Zdf\n4OPjo7asGlC4dreVlRW2bt2q8p5t3rw5vLy8MGjQIAiCgN27d6sNo3oTCQn/196dx0VV7/8Dfw0K\nyDAsIsrmAiSKuaAIiBgokijYVaBIiDSttHu96k3S1DJcMJNcq2t5U8E1wAVFQ0JkkQBZ3EBRSNFk\nERGBGZYRGGC+f/Cb85thFgZkrffz8fDxODPnM+fzOUcG3udzPp/3pwz3799XquzTp09fuT5xV65c\nQXR0NADAyMhIaoEVS0tLbN68GQEBAUzmpaysLGRlZQEANDQ0YGVlBQcHB8yYMYPGjRO5CgoKlJq3\nAID5vf6qhEIhdu/ezUwCnT17NrS0tCTK+Pn54c6dO8wwTIFAgISEBCQkJAAA9PT0YGtrCwcHBzg7\nO8PAwKBT2kY6BwXnpF3YbDYCAwPx4YcfAgC+/vprTJs2TalVyoKDg9Hc3Aw2m42vv/5aIjAXGTBg\nALZv3w4XFxc0Nzfj+PHj2LJlCwCgvr4ep06dAgBMmjRJZgDB4XCwa9cuzJ49G42NjVL7i4uLoa2t\njZqaGnh5eUkE5uLmz5/PBOcdHb4ji4uLC3R0dMDj8RAVFSUzOBcNaWGz2XB1dWXeT0lJYYIdf39/\nuY/X3333XURHRyM1NRWhoaH4z3/+0+Z4Q9J1XuU7I0pppqamhr1790oE5iImJibYsWMHFi5cCKFQ\niMOHD2Pfvn0yj+fr6yvzZnLixIkYPXo0cnNz8ejRIzQ0NMj8frZHeHg4kzGiM+Xn58scX8vn81FY\nWIjExETExMQwQffGjRtl/vx7e3vDzMwMmzdvxoMHDyT2vXz5EmlpaUhLS8OePXswZswYrFu3DlOn\nTpU6DpfLlcqUAbTcnIjIuklhs9k0fv0voLMnezc0NMj8eREKhaiursbDhw9x8eJFpgNKW1tbbgfM\njh07YG1tjb1796KiokJiX0VFBWJiYhATE4MtW7bA2dkZ69evl5nj/OnTp+DxeFLvi57M1tbWymyz\nvr4+DZHpIArOSbtNmzYNXl5eiIiIQGVlJQIDA7F3716FnxEKhczwkAkTJkjd5YszNjaGhYUF8vLy\nkJaWxrx/7do1vHz5EgDg5eUl9/NDhw7FtGnTJB5ri+8TBb+KcpVzOBwMGDAAdXV1nToGV01NDW5u\nbggLC0N6ejpevHgBfX19Zn9tbS3Ts+Hq6iqRTzkxMZHZbj1RtbXp06cjNTUVNTU1uHPnDqytrTvt\nHEj7deQ78+LFC+Tm5gIAZsyYITG8qTU7OzuMHDkSDx8+REpKCpqbm2VO7FS0RPfw4cOZ+mpra185\nOO8qyvbqq6urY9OmTQoXDbKxsWECndjYWCQnJ+PBgwdS813u37+PxYsXY8mSJVi/fr3Evvj4eGzY\nsEFhW1o/AQNa/s9oPQTSWllZmcyfF1kMDQ3xww8/KFwM791334WHhweSkpIQFxeH1NRU5umzSHNz\nM+Li4pCcnIygoCC4ublJ7P/+++8lEiG0lpOTI7PNK1aswMqVK5U6FyKJgnPSIRs2bMDvv/+OsrIy\nXLp0CXPnzlX4R7CoqIi5805LS1P6MXFRURGzLX5nPm7cOIWfmzBhgszgXJwoeKmpqUFhYSEKCgqQ\nn5+P+/fv48aNG6irqwMAuRNTO8rT0xNhYWFoampCdHS0RBqq2NhY5gak9S878fOfMWOG0vUVFhZS\ncN4LtPc7I96ba2Vl1ebxrays8PDhQ1RVVeHZs2dMDmRxirKSiN8INjU1tVlfW9rzhzkiIqLNALct\nbDYbOjo6GDlyJGxtbfH2229L3PjKw2KxYG1tDWtra6xbtw4VFRXIzMzEtWvXkJSUhOLiYqZsSEgI\nDAwMJMbzkr+3Y8eOYcqUKUqVbZ3tqz1UVFTA4XCgp6cHS0tLODo64h//+AfU1dXb/KyamhrefPNN\n5vfNkydPkJGRgWvXriE5OZn521xfX4+1a9fCyMhIap4G6V4UnJMO0dbWxubNm/Hvf/8bALB582bY\n2dnJHXtXWVnZoXoaGxtRU1MDDoejMPtCa+IppmTJz89HSEgIkpKSZA5bYbFYHWqvMiZOnAhTU1P8\n+eefiIqKkgjORVlcjIyMpH7hd/Qaypt4SrrXq3xn2vp5BiARiHK5XJnBuYaGhtzPi//Mi9+QPnz4\nUOEEyeHDhzNzMLqDvNSonUVPTw+zZ89mJldfu3YN3377Le7duwcAOHDgAHx8fJhr6eXlJfNJ3g8/\n/MBMalc2bzQhJiYmiI+P79I6RowYgREjRsDb2xsCgQCRkZHYvXs3KioqIBAI8N///heHDh1iyu/Y\nsYNJEyxOlDKYngJ1PgrOSYe9+eabmDNnDn777TeUlZVhx44d2L59u8yy4j1xb7/9drsWLRD9ERQf\nXqJoSEpbzp49i4CAAIkx6bq6ujA3N4eFhQWsrKwwbdo0uLm5gc/nd7geRTw8PLBv3z7cunWLybNc\nUVGBa9euAYBExhgRUXsHDhyIkJAQpeuiiT69R3u+M+IBsjI3i+Lfsc7MVb5s2TKJ3uPW2tNz2Bu8\nfPkSL168QHl5OaysrNq8tlOnTsXJkyfxzjvvID8/H1wuF/fu3cPkyZO7qcWEtE9VVRVevHiBhoYG\nWFpaKiyrqqqKd955B5MmTYKHhwcaGhqQlpYmd2gc6R4UnJNXEhAQgLS0NHC5XJw9exZz586VWU5H\nR4fZrq+v79AiB+K95RUVFQrH2cmbFZ+Xl8cE5pqamli5ciVmzZol1RPX3NzMDGvpCvPnz8d3330H\noVCIS5cuYdmyZbh06RITgM+fP1/qM7q6ugBafvGam5sr9TiT9D7KfmdE/98A2szbD0jmPBb/vhFJ\nGzduZJ5QXbp0Sam85Ww2GwsWLGBupDpzkjghnc3d3R1lZWXQ19dn0i225bXXXoOTkxOuXLkCgUCA\nyspKpZ7Yka5Bt0XklQwaNEhirOhXX33FjJkWN2zYMKYHPDMzs82e7+DgYISFhSE1NZV5TzygFz1i\nlicnJ0fm++Hh4UwAHBAQgCVLlsh8RP7s2bNX6p1vi7GxMdPbeOXKFQBAVFQUAGD8+PEyAwYLCwsA\nLT2kmZmZCo+fmpqK4OBgxMTESM3SJz1L2e+M+LyM7OzsNo97+/ZtAC2BZGc+LYmPj0deXp7cf32p\n1xyARIYU8TUM2iI+Jp+eRpHezNTUFEDLTX1bfyvFiX7G1dTU2hw6SroWBefklYlWFQNaUhWKsqGI\nU1VVZf6Il5aW4rfffpN7vFu3biEoKAibNm2SWPXQwcEBAwYMAACZdYiUl5cjKSlJ5r4nT54w26KF\nhGS5cOECsy0rJWNnjEkXTfjMzs7G3bt3mdRYnp6eMsuLZ9o4evSo3OMKhUIEBgYiKCgIq1atkhn4\nkZ6lzHdGX1+fCdATEhIU9tampaXh8ePHAFqGYdDjaPlmzZrFbAcHByt98yqaYK6trU3Lm5NeTXyi\n+d69e5XqaKqvr2eyo9nY2NDvkB5GV590iq1btzKTwuRNHhPPcBAYGIiHDx9KleHxePjyyy+Z14sW\nLWK2tbW1mYA2MzNT5gSUhoYGrF+/HvX19TLbIN4bIC+Av3r1Kvbv3y9xzNZEaeZeZQXO2bNng81m\nQygUIiAgAEKhEKqqqnB3d5dZftasWUxe9qSkJBw8eFBmud27d+PRo0cAWvKqKxr+Q3pOe74zDQ0N\n+Oyzz2T+vD19+hRffPEFgJabRsokotiYMWMwZ84cAC0dBUuWLFE4YbO5uRk///wzYmNjAQDvv/++\nRC86Ib3NggULmN/7SUlJ8Pf3V3gTWltbizVr1uD58+cAlE9XSroOjTknncLIyAhr1qxhFgySxd7e\nHr6+vggNDUVFRQW8vb3h5+eHadOmQVVVFffv30dwcDCzWuCsWbOkUs2tXr0a8fHxeP78ObZt24Zb\nt25h3rx50NPTQ35+Po4cOcLkahYR7+V2c3Njein37t2LsrIyTJs2DRwOB8XFxYiJiUFsbKzEZLya\nmhqpcxEtrMDlcvG///0PDg4O0NDQkFjNtC2iRYbOnz/PDMOZPn263MeJ/fr1Q1BQED744AMIBALs\n2rULmZmZ8PLygpGREUpKShAREcH08Ono6DBBG+l9lPnOeHh44PLly4iPj0dmZibmzZuHxYsXY+zY\nsWhqakJGRgaOHTvGzLFYtmwZbG1tu+sU+qxvvvkGz549w+3bt5GbmwsvLy84OTnB2dkZw4YNg6am\nJng8HnJychAVFYU//vgDQMvTu+XLlytVx8qVKynHM+kRGhoaOHToEPz8/FBRUYHo6GgkJyfD1dUV\nDg4OMDQ0RP/+/fHixQvcuHEDkZGRzJyVFStWyFxsSxbK0NJ1KDgnncbX1xfR0dHIyMiQW+arr76C\nuro6jh49Cj6fj4MHD8rsAXZ1dcXOnTul3tfV1UVISAg++ugjPHv2DFFRUcxYbZFJkybBwMCAGToj\nvpiKi4sLFixYgPDwcAgEAoSEhMjMfOLp6YmqqirExcWhuLgYL1++lEhD5+rqioiICADAnj17sGfP\nHtja2uLEiRNtXCVJHh4eOH/+vMRrRSZPnoyff/4Zq1evBpfLxdWrV2Xmczc0NMT+/fu7NOUceXVt\nfWdYLBb27duHL7/8EhcvXkRRURG2bdsmVa5///749NNP8fHHH3d1k/8S2Gw2s5JqaGgoGhsbER8f\nLzeFnYqKCvz8/ODv70+r7ZI+wdzcHGFhYQgMDMTvv/+O6upqnD17FmfPnpVZXktLC/7+/njvvfe6\nuaVEFgrOSadhsVjYtm0b5s2bJzfTSb9+/bBhwwZ4enoiNDQUGRkZePbsGQQCAfT09DBx4kS8/fbb\nmD59utx6Ro4ciaioKBw5cgRXrlxBQUEBmpubYW5ujvnz58PPz09iSeXWj6C3bt0Ke3t7nDlzBjk5\nOaiuroa6ujoMDQ0xYcIEeHt7w8bGBqdPn0ZcXBwEAgFiY2Mxb9485hjOzs4ICgrCkSNH8Oeff4LF\nYskdSqOIvb09jI2N8fTpU+jq6io8bxEHBwfExcUhNDQUiYmJzHLmbDYbI0eOhIuLC3x8fGQu9U56\nF2W+M+rq6ti1axd8fHxw6tQp3LhxA2VlZVBXV4eJiQkcHR3h7e0tc9ltIh+Hw8HGjRuxaNEiZnXE\noqIiVFZWgs/nQ1dXF8bGxnB0dIS7u7tSWV0I6U1GjBiBQ4cO4fbt20hISEB6ejqeP3+OyspKNDU1\nQV9fHyNGjICLiwvc3d2hp6fX000m/w9L2NnLHxLSC/zzn/9EQkICNDU1cfPmzZ5uDiGEEEKIUqjn\nnPQZPB4P/v7+GD58ONzd3eWOra2rq2PSyrW1AAMhhBBCSG9CwTnpMzgcDrKzs5GcnIysrCyEhYVJ\njCcX2bdvH7P0uaura3c3kxBCCCGkw2hYC+lTduzYwUzgHDt2LHx9fWFqagoWi4WioiJERkYyCxe9\n/vrrOHXqFE3gIoQQQkifQcE56VPq6uqYdIqK2NjYYM+ePbSSHyGEEEL6FArOSZ+UmJiI8+fPIzs7\nG2VlZejXrx8GDx6M0aNHY968eXBxcUG/fv16upmEEEIIIe1CwTkhhBBCCCG9hEpPN4AQQgghhBDS\ngoJzQgghhBBCegkKzgkhhPQqAoHgL10fIYQoQnnOCSGknVJTU3H06FHk5OSAy+VCTU0NRkZGqK+v\nR2FhIQAgLi4OQ4cO7eGW9j2JiYk4fPgwjh8/3uV18Xg87Ny5EzY2NvDw8Ojy+gghRBkUnBNCSDtc\nvHgRa9euhfhceoFAgCdPnmDcuHFMcE7ab9WqVYiJiYGJiUmX15WWlgZ/f3+Ul5fD2tq6y+sjhBBl\nUXBOCCHtsHPnTiYwHzVqFGbOnAl1dXWoqKggJSWlh1vXt8XExHRbXZmZmSgvL++2+gghRFkUnBNC\niJK4XC5KS0sBADo6OggLC4Ompiazn4JzQgghr4omhBJCiJL4fD6zbWZmJhGYE0IIIZ2BgnNCCFFS\nc3Mzs62mptaDLSGEEPJXRSuEEkJIGxYuXIiMjAyFZfLy8iTKKcrW8vTpU5w7dw7p6el48uQJuFwu\nAEBbWxsWFhZwdHSEt7c3OByOwjobGxtx7tw5XLx4Ebm5ueDz+RgyZAimTp2KDz74AKNGjUJAQADC\nw8PbbFNnqKmpwZkzZ5CQkIC8vDxUV1eDw+HA0NAQU6ZMgaenJ8aMGSPxmaKiIri4uMg9pp2dnczM\nLQ8fPsSFCxeQkZGBoqIi8Hg89O/fHzo6OrC0tISzszM8PT2lbqLWr1+Pc+fOya3v2LFjmDJlCgBg\n9OjRAAATExPEx8crPHdlyt64cQPnzp3D9evXUVJSAgAYOHAgLC0tMWPGDHh6ekJdXV1hPYSQvz4a\nc04IId1EKBTiu+++w6FDh2Tm1q6rq8Pz58+RkpKCgwcP4sCBA5gwYYLMY5WXl2Pp0qXIycmReL+4\nuBhnzpxBZGQk1q9f3yXnIUt2djaWL1+OsrIyife5XC64XC5yc3Nx7Ngx+Pj4ICAgACoqHXtwKxAI\nsHXrVpw5c0biSQYANDQ0gM/no6SkBAkJCTh8+DAOHTqE4cOHd/i8OkNTUxO2bNnC3CSJKykpYdr7\n448/4qeffsLYsWN7oJWEkN6CgnNCCGmDr68vZsyYgaqqKhw4cAAAMGzYMPj6+rbrOLt378bBgwcB\nACwWC1OnTsX48ePB4XBQXV2NrKwsZGRkQCgUory8HKtWrUJ0dDQ0NDQkjsPj8eDn54fHjx8DANhs\nNmbNmgUzMzOUl5fj8uXLKC0tRWBgIIyNjTvhCihWUVGBTz75BBUVFQCAsWPHYsqUKRg4cCAqKipw\n8+ZNZGVlQSgUIjQ0FEOGDMHy5csBALq6uvj8888BAN9++y2Alsm2n3zyCQDAyMhIoq7PP/8cly5d\nAgCoqqrC0dERo0ePBpvNRmVlJa5fv47s7GwAwJMnT7B69WqcOXMGLBYLAODu7g4LCwukpKQwE3jd\n3d0xbtw4AOiSQP7HH39kAnNNTU04OzvDzMwMLBYLRUVFiImJQW1tLUpLS/Hhhx8iNjYW2trand4O\nQkjfQME5IYS0wd3dHUDLEAxRcG5kZISPPvpI6WM8fvwYISEhAFqCyoMHD2Lq1KlS5a5fv46lS5dK\n9ACL6hf5/vvvmcB81KhROHDggERu8M8++wybNm1CZGQknj592r6T7YCwsDAmMF+6dCnWrFkjVeaX\nX37Bli1bAACHDx/Gxx9/DDU1NXA4HOY6ioJz8ffEpaWlMYG5rq4ujh49CktLS6ly0dHR8Pf3R3Nz\nM+7evYs7d+4wTyCcnJzg5OQEPp/PBOeOjo7w8vJ61csg08uXL5n/98GDByM0NBTDhg2TKLN27Vos\nWrQIDx48AJfLRVhYGJYtW9Yl7SGE9H40IZQQQrrBxYsX0djYCABYtGiRzMAcAGxsbODp6cm8bj1s\npaioCGFhY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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "ANOVA F: 18.554203539\n", "p value: 3.33254442007e-08\n", "Multiple Comparison of Means - Tukey HSD,FWER=0.05\n", "================================================\n", " group1 group2 meandiff lower upper reject\n", "------------------------------------------------\n", " HPS+ Negative 0.6975 0.4226 0.9723 True \n", " HPS+ Non-HPS+ 0.3998 0.0246 0.7749 True \n", "Negative Non-HPS+ -0.2977 -0.6104 0.015 False \n", "------------------------------------------------\n" ] } ], "source": [ "# adni_mem\n", "anova_hpc(df4, 'ADNI_MEM', -3.5, 3.5, path_results + 'adni2_mci_memory.pdf')" ] }, { "cell_type": "code", "execution_count": 190, "metadata": {}, "outputs": [ { "data": { "image/png": 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cxODEzt64PZFK6YMPPnD97HQ6+fDDDxk0aJAXIxIR8a7Tp08zbNgwsrKyAGje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\n6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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "ANOVA F: 20.6339260068\n", "p value: 5.19298775604e-17\n", "Multiple Comparison of Means - Tukey HSD,FWER=0.05\n", "==================================================\n", " group1 group2 meandiff lower upper reject\n", "--------------------------------------------------\n", "HPS+ pMCI HPS+ sMCI 0.5916 0.0485 1.1347 True \n", "HPS+ pMCI pMCI+ 0.1351 -0.502 0.7722 False \n", "HPS+ pMCI pMCI- 0.1152 -0.4279 0.6584 False \n", "HPS+ pMCI sMCI+ 0.9072 0.3875 1.4269 True \n", "HPS+ pMCI sMCI- 1.044 0.6661 1.4218 True \n", "HPS+ sMCI pMCI+ -0.4565 -1.1344 0.2214 False \n", "HPS+ sMCI pMCI- -0.4763 -1.0668 0.1141 False \n", "HPS+ sMCI sMCI+ 0.3156 -0.2534 0.8846 False \n", "HPS+ sMCI sMCI- 0.4524 0.0092 0.8956 True \n", " pMCI+ pMCI- -0.0198 -0.6977 0.6581 False \n", " pMCI+ sMCI+ 0.7721 0.1128 1.4314 True \n", " pMCI+ sMCI- 0.9089 0.3545 1.4633 True \n", " pMCI- sMCI+ 0.7919 0.223 1.3609 True \n", " pMCI- sMCI- 0.9287 0.4855 1.3719 True \n", " sMCI+ sMCI- 0.1368 -0.2773 0.5509 False \n", "--------------------------------------------------\n" ] } ], "source": [ "anova_hpc_split(df4, 'ADNI_MEM', -3.5, 3.5, 'sMCI', 'pMCI', path_results + 'adni2_mci_memory_split.pdf')" ] }, { "cell_type": "code", "execution_count": 191, "metadata": {}, "outputs": [ { "data": { "image/png": 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K5MhuPjUXAFxdXXHs2DFJ3NIqyiFDhtTadYmIahcWFmYxHhoaWs+ZUF1jcU52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\nH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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "ANOVA F: 17.8123579871\n", "p value: 6.3308113952e-08\n", "Multiple Comparison of Means - Tukey HSD,FWER=0.05\n", "===============================================\n", " group1 group2 meandiff lower upper reject\n", "-----------------------------------------------\n", " HPS+ Negative 0.7491 0.4508 1.0474 True \n", " HPS+ Non-HPS+ 0.4844 0.0773 0.8916 True \n", "Negative Non-HPS+ -0.2647 -0.604 0.0747 False \n", "-----------------------------------------------\n" ] } ], "source": [ "# adni executive function\n", "anova_hpc(df4, 'ADNI_EF', -3.5, 3.5, path_results + 'adni2_mci_ef.pdf')" ] }, { "cell_type": "code", "execution_count": 192, "metadata": {}, "outputs": [ { "data": { "image/png": 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K4bz3+pPkFxRSKTyU+d//XKoAGNS/B3VqVSMpOQPnBT0GmWdzWLB0PWcyc+jS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\nAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "ANOVA F: 14.0623050854\n", "p value: 5.30626814618e-12\n", "Multiple Comparison of Means - Tukey HSD,FWER=0.05\n", "==================================================\n", " group1 group2 meandiff lower upper reject\n", "--------------------------------------------------\n", "HPS+ pMCI HPS+ sMCI 0.6101 -0.0091 1.2292 False \n", "HPS+ pMCI pMCI+ 0.1434 -0.5829 0.8696 False \n", "HPS+ pMCI pMCI- 0.4903 -0.1288 1.1094 False \n", "HPS+ pMCI sMCI+ 1.0434 0.451 1.6358 True \n", "HPS+ pMCI sMCI- 1.0631 0.6324 1.4938 True \n", "HPS+ sMCI pMCI+ -0.4667 -1.2394 0.3061 False \n", "HPS+ sMCI pMCI- -0.1198 -0.7928 0.5533 False \n", "HPS+ sMCI sMCI+ 0.4333 -0.2152 1.0819 False \n", "HPS+ sMCI sMCI- 0.4531 -0.0521 0.9582 False \n", " pMCI+ pMCI- 0.3469 -0.4259 1.1196 False \n", " pMCI+ sMCI+ 0.9 0.1485 1.6515 True \n", " pMCI+ sMCI- 0.9197 0.2878 1.5517 True \n", " pMCI- sMCI+ 0.5531 -0.0955 1.2017 False \n", " pMCI- sMCI- 0.5728 0.0677 1.078 True \n", " sMCI+ sMCI- 0.0197 -0.4523 0.4918 False \n", "--------------------------------------------------\n" ] } ], "source": [ "anova_hpc_split(df4, 'ADNI_EF', -3.5, 3.5, 'sMCI', 'pMCI', path_results + 'adni2_mci_ef_split.pdf')" ] }, { "cell_type": "code", "execution_count": 193, "metadata": {}, "outputs": [ { "data": { "image/png": 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TkEgkaNeunbCjh0ajQXx8PHJzc9G8eXOEhIQAKJ8duHjxIpKSklC7dm20atVK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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "ANOVA F: 18.5702561695\n", "p value: 3.28671852873e-08\n", "Multiple Comparison of Means - Tukey HSD,FWER=0.05\n", "================================================\n", " group1 group2 meandiff lower upper reject\n", "------------------------------------------------\n", " HPS+ Negative 3.0631 1.8742 4.2519 True \n", " HPS+ Non-HPS+ 2.1506 0.528 3.7731 True \n", "Negative Non-HPS+ -0.9125 -2.2649 0.4399 False \n", "------------------------------------------------\n" ] } ], "source": [ "# language\n", "anova_hpc(df4, 'BNTTOTAL', -5, 35, path_results + 'adni2_mci_language.pdf')" ] }, { "cell_type": "code", "execution_count": 194, "metadata": {}, "outputs": [ { "data": { "image/png": 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LRzDDgnwweVgrp+q/Siqu8Ou+fVXVNA83Y88l/6tXcoCmYeYqUeW3ooSEh+Ot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P9uYK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\nV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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "ANOVA F: 10.2638228132\n", "p value: 6.78848616541e-09\n", "Multiple Comparison of Means - Tukey HSD,FWER=0.05\n", "==================================================\n", " group1 group2 meandiff lower upper reject\n", "--------------------------------------------------\n", "HPS+ pMCI HPS+ sMCI 1.6239 -0.9326 4.1804 False \n", "HPS+ pMCI pMCI+ 1.4825 -1.5164 4.4814 False \n", "HPS+ pMCI pMCI- 2.1795 -0.377 4.736 False \n", "HPS+ pMCI sMCI+ 3.5128 1.0666 5.959 True \n", "HPS+ pMCI sMCI- 3.9236 2.1451 5.7022 True \n", "HPS+ sMCI pMCI+ -0.1414 -3.3323 3.0495 False \n", "HPS+ sMCI pMCI- 0.5556 -2.2237 3.3348 False \n", "HPS+ sMCI sMCI+ 1.8889 -0.7892 4.567 False \n", "HPS+ sMCI sMCI- 2.2997 0.2136 4.3857 True \n", " pMCI+ pMCI- 0.697 -2.4939 3.8878 False \n", " pMCI+ sMCI+ 2.0303 -1.0729 5.1335 False \n", " pMCI+ sMCI- 2.4411 -0.1683 5.0505 False \n", " pMCI- sMCI+ 1.3333 -1.3448 4.0115 False \n", " pMCI- sMCI- 1.7441 -0.3419 3.8302 False \n", " sMCI+ sMCI- 0.4108 -1.5385 2.3601 False \n", "--------------------------------------------------\n" ] } ], "source": [ "anova_hpc_split(df4, 'BNTTOTAL', -5, 35, 'sMCI', 'pMCI', path_results + 'adni2_mci_language_split.pdf')" ] }, { "cell_type": "code", "execution_count": 195, "metadata": {}, "outputs": [ { "data": { "image/png": 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NmjXjiy++cHodnDp1iuXLl3P06FGng1Zqaipz5syhXbt2RT72SpUqaexXOfZ/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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "ANOVA F: 0.867594320416\n", "p value: 0.421312806525\n", "Multiple Comparison of Means - Tukey HSD,FWER=0.05\n", "================================================\n", " group1 group2 meandiff lower upper reject\n", "------------------------------------------------\n", " HPS+ Negative 0.1199 -0.2244 0.4642 False \n", " HPS+ Non-HPS+ -0.0739 -0.5438 0.3961 False \n", "Negative Non-HPS+ -0.1937 -0.5854 0.1979 False \n", "------------------------------------------------\n" ] } ], "source": [ "# vis spat\n", "anova_hpc(df4, 'CLOCKSCOR', -1, 6, path_results + 'adni2_mci_clock.pdf')" ] }, { "cell_type": "code", "execution_count": 196, "metadata": {}, "outputs": [ { "data": { "image/png": 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Tq42nSWUQRdGo0yAIAqRSGfR6je1jypyh06leiulseUwT87dFTGvz8/Ozafy8\n6HQ6ZGVlGU1zcnaFRqMx+puUSmUQBCHXQ+ycXdyhUhmvXydT05xdc3VMikIFD/uu36JiqlMrkUig\n1+uNtqMjD/twc3OzaqdX/F9H4MWOuV6v/9/3m9Sonf6lox0vf9fk0Ol0RRrTWqRSKYeWkU2+a9Vq\nda79iZd77n2Mh2vu/ZaTzPR+y9PNDeqX9uumYrrL5dBqtRbFrFimjM1HnpSkfZnZAuDixYvYtWuX\n4eeqVauie/fu8PX1xf3797F3714kJSVBrVZj1qxZ+Omn50MxtmzZgq+//hpqtdqwcURRRJcuXTB5\n8mSUK1fOBotkmY0bN+LcuXNwcXHBnDlzimQ4UocOHTBt2rRcH8qhQ4dizJgxWLx4MXbs2AGdTocW\nLVrgm2++weHDhzFv3jxkZWXB398fy5Ytg0ajwYQJExAfHw93d3fMnDkTzZo1w+eff46zZ89CKpVi\n8ODBVo1ZkvLMUa9ePattu23btlktVkGsWrUKERER0Ol0ePPNN7F06VKcO3cO06dPR0ZGBvz8/LB0\n6VK4urris88+w4MHDwAAM2fORIcOHTBp0iRERkZCIpGgd+/eCA8PNxnTw8PDrstZEoSHhxf4iPrG\njRuxcuVKaDQa1KlTB8uWLcPt27cxefJkpKamokyZMvjmm29yHUhxFMePH7d6zJ9++glLly6FSqVC\njRo1sGzZMiQmJmLixIlITk6Gt7c35s2bh1q1amHcuHG4evUqnJycMHLkSHzwwQeYPXs2fv31V4ii\niHbt2mHevHnYvXt3kcQsX7681dcHOTZb7MuUSiUmTZqEEydOQCKRoE+fPvjnP/+J77//Hhs3boRO\np0OjRo2wZMkSREdHY+bMmcjIyED58uWxdOlSuLi44LPPPsPDhw/h5uaGyZMno127doaYANCvX79C\nx+zSpYvVl70kMzsEaNasWdi6dSsEQUD79u2xZMkSo1OVGRkZGDVqFKKjoyEIArZv34769etj4cKF\nWL9+veGohiiKCAgIwPTp09GiRQubL1heHjx4gB49ekChUOCLL77AiBEjjH5vqyFAOfbu3Yvdu3dj\nwoQJqFixotH1E0lJSVAqlUYxMjMzkZCQgGrVqhmODup0Oty7dw8VK1aEq6urUR5ubm5WjZkztOvI\nkSPFOs/Y2FicOXMGv/zyC+bPn//a7TxTUlKQkZGBypUrG6YplUrExcWhatWqkP3v1Kher8dbb70F\niUSCw4cPG9rGxcXBxcUFvr6+ecYk20pNTUVKSgqqVatmmKZSqRAbG4sqVarkGjJChZeeno7k5GRU\nrVrVcLBHq9Xi/v378Pf3NzpG2ypGAAAgAElEQVTzdf/+fXh7e8PH5/n1ME+ePIFerzf6TimqmMUd\nhwDZji2GANmSqX3M06dPkZmZabSPUSgUePToEapVq2Y4a6bX63Hv3j34+fnB3d3d0NZU/6OwMYuD\n4jAEyGwB0KdPH1y6dAnu7u44cuSIySOEcXFx6Ny5MzQaDUaPHg0PDw8sXLjQ0PF3cXHBJ598gg8/\n/NDuOzdRFPHBBx8gKioKderUwc6dOw0dpxy2LgBKmtDQUAAoMV9CxG1GREWDBYDtlLQCwBZe131Z\ncegzmh0CFB8fD0EQ0KZNm1cOD6hUqRIaNmyIM2fO4PDhw7h79y6A7M5206ZNMXfuXFSpUsW6mRfQ\ntm3bEBUVBQAYPHgwbt26latNXFyc4fWjR48MFypXqVKl2FWRRERERET5YbYASEtLAwBUr149z3Z1\n6tRBVFSU4WJfiUSCcePGYeTIkcXqVObff/9teD1lyhSz7b/77jt89913ALLH7zZv3txmuRERERER\n2ZrZAiDn/tTmjnx7eXkByD7qL5VKsWTJEnTs2NEKKRIRERERkbWYLQByLuI1dxRfLpcDyL4t4wcf\nfFBsO/8LFizAggUL8mxTkGsAiIiIiIhKApvccLpv3762CEtERERERIVkkwKAtxQkIiIiIiqebFIA\nvHxbTSIiIiIiKh4c95nzREREREQOiIfqTejUqRNu3Lhh7zSIiIiIiKzO4gIgNTUVjx49yvP3OeLj\n42HmAcMGFStWtDQFIiIiIiIqJIsLgNWrV2P16tVm24miiHbt2lkUUxAEXL161dIUiIiIiIiokPI1\nBCivo/ovPivA3NF/QRAsPkNARERERETWY1EBYElnPT8denb+iYiIiIjsw2wBcP369aLIg4iIiIiI\nigBvA0pERERE5EBYABARERERORAWAEREREREDqRQDwK7c+cOjh49iitXruDhw4dIT0+HKIrw9PRE\n5cqVUbt2bbRt2xaBgYHWypeIiIiIiAqhQAXA4cOHsWrVKvz999+vbHPp0iXs27cPixcvRlBQEEaO\nHImwsLACJ0pERERERIWXrwIgMzMTU6ZMwYEDBwBYfjvPy5cvY+zYsWjbti2++eYbeHp65j9TIiIi\nIiIqNIsLgLS0NAwePBg3b94E8LzzX6lSJQQHB6NcuXLw9fWFVCpFWloa4uLicOHCBdy6dQt6vR4A\ncOTIEfTv3x+bN29GqVKlbLA4RERERESUF4sLgLFjx+LGjRuGp/h27doVH330EWrXrp3n+x48eICI\niAhs374doijizp07+PTTT7FlyxbDk4OJiIiIiKhoWHQXoC1btuD06dMQBAGenp5Yt24dFi9ebLbz\nDwBVqlTBjBkzsH79evj4+AAAzp8/j02bNhUucyIiIiIiyjezBYBKpcLKlSsBAFKpFMuWLUNISEi+\nZ9SsWTOsXr0arq6uEEURa9asgVqtzn/GRERERERUYGYLgIMHDyIpKQmCIGDMmDFo0aJFgWdWv359\nfPzxxwCA5ORkHDx4sMCxiIiIiIgo/8wWAIcOHQIAuLq6YsiQIYWe4fDhw+Hq6gog+3aiRERERERU\ndMwWAFevXoUgCGjZsqWh414YcrkcLVq0gCiKuHLlSqHjERERERGR5cwWAAkJCQBg1af5Vq9eHQAQ\nHx9vtZhERERERGSe2QJAqVQCgFWO/ufw8vICkH2BMRERERERFR2zBUDOrTtTUlKsNtOcWG5ublaL\nSURERERE5pktAHx9fQEA169ft9pMc54mXLFiRavFJCIiIiIi88wWAA0aNIAoioiOjsazZ88KPcPU\n1FRERUVBEAQEBQUVOh4REREREVnObAHQunVrAIBWq8Xq1asLPcMVK1ZAo9EAAMLCwgodj4iIiIiI\nLGe2AGjbti0qVaoEURSxadMmnD59usAzO3z4MDZv3gxBEFC5cmW0adOmwLGIiIiIiCj/zBYATk5O\nGDt2LIDsswBjx47F0aNH8z2jffv2YcKECdDpdACACRMmQCIxO3siIiIiIrIii3rg7777Lrp27QoA\nSEtLw6hRozBx4kT8/fffZt/7999/Y9y4cfjiiy+gUCggCAJ69OiBzp07Fy5zIiIiIiLKN5mlDefP\nn4/ExERERUVBFEX89ttv+O233+Dp6Yl69eqhYsWK8PT0hIuLC9LT0/HkyROcO3cOycnJAABRFAFk\nDymaO3eubZaGiIiIiIjyZHEB4OzsjIiICCxatAgRERGG6WlpaThx4oTJ9+R0+gFAJpNh+PDhGD9+\nPIf+EBERERHZSb564lKpFOHh4di9eze6dOkCqVQKILujb+ofkN3x79q1K3bv3o3PP/+cnX8iIiIi\nIjuy+AzAi9544w0sWbIEGRkZOHv2LM6dO4cnT54gNTUVCoUC7u7uqFy5MurVq4eQkBB4eXlZO28i\nIiIiIiqAAhUAOTw8PNC2bVu0bdvWWvkQEREREZENcTwOEREREZEDsXkBEB8fb+tZEBERERGRhfJd\nAKhUKmzatAmzZ8+2qP2gQYPQrl07rF27FgqFIt8JEhERERGR9eSrADh+/Dg6duyIefPmYdeuXdBq\ntXm2f/jwIeLi4hAfH48lS5agU6dOOHPmTKESJiIiIiKigrO4APj5558xcuRIJCQkQBRFKJVKXL58\nOc/3XLx4EcDz5wEkJCRg2LBhOHDgQCFSJiIiIiKigrKoAIiOjsaMGTOg1+shiiI8PT3x0Ucfwd/f\nP8/3de3aFYcOHcKYMWMMtwLVarX44osvcP369cJnT0RERERE+WK2ANDr9Zg5c6ZhuE9oaCgOHDiA\nL774Ar6+vmZnUKFCBYwZMwa//fYbmjZtCgBQq9WYOnVqIVMnIiIiIqL8MlsAHD16FLdv34YgCGjT\npg1WrFgBHx+ffM/I19cXa9euRa1atQAAV65cwalTp/KfMRERERERFZjZAmD//v0AAKlUilmzZkEQ\nhALPTC6XG9096Pfffy9wLCIiIiIiyj+zTwK+dOkSBEFAcHAw/Pz8Cj3D+vXro27durhy5QouXLhQ\n6HiFdf/+fWzYsAGRkZGIj4+Hi4sL/P390aFDB/Tr1w9lypSxd4pERERERFZj9gxAQkICAKBu3bpW\nm2njxo0BAI8fP7ZazILYtWsXunfvji1btuDevXtQqVRIS0vD1atXsWzZMnTt2hVHjhyxa45ERERE\nRNZk9gxAzsO7PDw8rDbTnIuHMzMzrRYzv44cOYIvv/wSoihCLpdj2LBhaNq0KURRRFRUFCIiIpCS\nkoJx48Zh69atVi2AiIiIiIjsxWwB4ObmhvT0dGRlZVltpmq1GgDg4uJitZj5odfrMWfOHIiiCCcn\nJ2zZsgVBQUGG34eEhKBNmzYYPHgwlEolFi9ejB9//NEuuRIRERERWZPZIUAVKlQAANy5c8dqM82J\nVapUKavFzI9Tp07hwYMHAIBBgwYZdf5zNGnSBG3btgUAREZGIjU1tUhzJCIiIiKyBbMFQN26dSGK\nIk6fPg2NRlPoGarVakRGRkIQBAQGBhY6XkGFhoaiYsWKaN++/Svb1KhRw/A6Pj6+KNIiIiIiIrIp\nswVAu3btAABpaWnYuXNnoWe4Y8cOpKWlAQCaN29e6HgF0bJlS6xatQqHDh0yPJzMlEePHhlelytX\nrihSIyIiIiKyKbPXALz11lvw8/NDQkIClixZgubNmxsdGc+PO3fuYOnSpdkzlsnQuXPnAsUpChcv\nXsSff/4JILtQKV26tJ0zMnb8+HGcPHkSgYGB6NatG2QyGW7duoV9+/bBy8sLPXv2hI+PD5KTk/Gf\n//wHWVlZ6N69OwICAqDRaLBnzx7cu3cPISEhCA4OzjOmUqmEIAh49uyZ1WJakicVTFRUFJRKJSQS\nCdRqNZydne2dEv1PRkYGdu/ejSdPnuDtt99GUFAQRFHEH3/8gUuXLqFRo0YICwuzd5pEJZoiMQlP\nr96EzFWOMvXqQOYqhyYzC8mXrkKv0aB0nVqQlyle+3RHd+rUKRw/fhzVqlVDjx494OzsjJiYGKhU\nKgBAcnIyb8tuZYIoiqK5Rtu3b8eMGTMgCAJKly6Nb7/9Ns8j56acOXMGEyZMQFJSEgRBwIABAzBt\n2rQCJ25toigiMzMT9+/fx549e7Bjxw4oFAp4e3tj69at+Mc//pHn+2NjY9G+fXscPHgQ/v7+Ns11\nx44d+Prrrw0/d+vWDf3798fw4cMNF1hXqVIF69evx8CBAw3Dl1xcXLBp0yasXr0aBw8eNLx/xowZ\nUCgUxS5m9erVrbreHMG+ffswffp0w89t27bF4sWL7ZgR5RBFEUOGDMHVq1cBZD9ccfny5YiMjMTm\nzZsN7UaMGIERI0bYK02ifAkNDUVSRjqaTxht71QAAFmPn+DW9l0QdXoAgEspHwT2740bm7dDk54B\nAJDIZKg5qA/kpe1zHaKlTi9dAV8PTxw6dMjeqdjUr7/+ipkzZxp+Dg0NxejRow03YgGA8uXLY8eO\nHXBzc7NTltZVlH3GV7GoAACADz/8EJGRkdlvEgR06NABPXv2RNOmTV95i9Bnz57h5MmT2Lt3Lw4f\nPgxRFCGKImrUqIGffvoJrq6u1luSQtqzZw8mTZpkNK1Ro0aYM2eORWc8inJj9unTBzExMYafpVIp\nunXrhj179hi1c3JyynXdhqlpEkn2SDC9Xm80XSaTQavVmn2/qXb5iTlkyBBs2LDBaNrgwYPx2Wef\n4XW3cOFC/PHHH1aLl5mZmWudu7u7G7ZHYXXq1Anh4eFWieVoLl++jKFDhxpNCwsLw/Hjxw07OSD7\n5ggHDhwo4uyICqa4FQAP/zyM5ItXjaaVa/ImnkSfzzWtYpsWRZlavpWkAqAw+zJT+y1TfQ25XA4n\nJ6cC5/gye+7PikMBYHYIUI5ly5Zh+PDhuHjxIgDgwIEDOHDgACQSCapXr45y5cqhVKlSUKvVSElJ\nQXJyMu7du4ec+iLn/+rVq+PHH38sVp1/wHi8f46bN29i8+bNGD9+PLy9ve2QlWkvrzuZTGayKhYE\nwaJ4giDAwjrQZMxXTTMV01RbUwWkXC63KB8yZuk2p6Jn6jPt6uoKuVxuVAAUt+9GopJEIsvdQZS4\n5B4GKXGyuPtDNpafvgpZj8V/AR4eHti8eTPmzJmDnTt3Gjp3Op0Ot2/fxu3bt3O958UOoFQqRe/e\nvTF58uRieQqnadOmiIiIgIeHB2JiYrB161ZcuHABW7duRXR0NNavX19sxp999NFH+Oc//wmdTgcA\nGDp0KLp164b//ve/SE5OBgA0a9YMy5Ytw6hRo/D3338DAPz8/LB+/Xps27bNcMTdyckJ3377LVQq\nlVHMkSNHolu3bhg6dKjNYw4aNAjHjx83itmrVy+br8fiIDw83KpHIKKjozFu3DjDEKuBAwdiwoQJ\nVotPBfePf/wDHTp0MBzd9/DwwMCBA1GnTh0sXLgQQPYOjsN/iArO9816SLl+E9qs7IeYelb1R7nG\nDZB29x6y4hMAAE6eHihTnw/3tKbC7MuioqIwfvx4w35r8ODBGDhwIIYMGYKEhOxtVr9+faxZswYy\nGQs3a7F4CNCLLl++jB9++AF//fWX4QKNVylVqhS6dOmCgQMHlqgx3Xq9HlOnTsXPP/8MAHjnnXeM\nxrO/rKhP58TFxeHMmTMIDAw0PKU4IyMDR48ehZeXF1q0aAGpVAqtVovIyEhkZWWhTZs2cHd3B5B9\nkfPdu3cRHByM8uXLF9uYlH8JCQk4efIkqlWrhoYNG9o7HXpBzi2VExMTERISYngWyq1bt3DlyhU0\nbNgQ1apVs2+SRPlQ3IYAAYBWqULa3XuQyeXwrFYZgkQCUadD2r0H0Ks18KpRDdIScHOEkjQEqLAe\nP36MU6dOISAgAA0aNACQPTTo2LFjcHV1RatWrV6rzn9xGAJUoAIgh1KpxNmzZ3Hr1i3Ex8cjKysL\nEokEXl5eqFKlCurWrYvatWuX2NM2arUaYWFhSEhIgJOTE86cOfPK0/PFYWMSEREVpeJYALwuHKkA\ncDTFoc9YqHJKLpejVatWaNWqlbXyKVacnZ3x1ltvYfv27dBoNLh7967hKDYRERERUUlknVuDlDCp\nqam4dOmSRVW1j4+P4bU1noRMRERERGRPr8+AqnyYNGkSDh8+DEEQcOLEiTwf8vXgwQPD65xx7URE\nREREJVWBzgAkJibi5s2br/y9Wq3Gli1b0LdvXzRv3hxvvvkm+vbti40bNxqu8ranxo0bA8i+IO+n\nn356ZbvExEQcOXIEQPbtS1kAEBEREVFJl68C4ODBg+jZsyfatGmDMWPGmGwTFxeHd955B3PmzMGl\nS5eQmpoKhUKBS5cuYf78+ejVq5fhia/20rNnT8OtSFevXo0bN27kapORkYHx48cjKysLAHhrPiIi\nIiJ6LVhcAKxatQpjxozB9evXIYoinj59mquNSqXCiBEjEBMTY3jqb46cn2/fvo3+/fsb7gNvD2XL\nljU89TcjIwN9+vTB4sWLcezYMZw/fx4bN25Ejx49EB0dDQDo2rUr3n33XbvlS0RERERkLRZdA/DL\nL7/g22+/NTzd1cnJCTVr1szVbu3atbhz547htp+NGzfGlClTULNmTTx48AD//ve/sX//fjx58gTz\n5s3D4sWLrbs0+fD+++9DrVbjm2++gUqlwpo1a7BmzRqT7b766qsSeytTIiIiIqIXmT0DoFQqjTrq\nQ4cORWRkJLZu3WrUTq1WY9OmTYYioXr16li3bh3q1q0LJycn1KhRA8uWLUPnzp0hiiL27duHW7du\nWX+J8mHIkCHYu3cvBg4ciICAAMjlcsjlclStWhXvvfcefv75Z8ycORNOTrkfLU5EREREVBKZPQNw\n6NAhJCQkQBAEjBw5EuPHjzfZ7uTJk0hNTQWQ/Tj7Tz/9FHK5PFe78PBwHDhwADqdDvv370dgYGAh\nF6FwAgICMH36dLvmQERERERUVMyeATh69CgAwNvbG59++qnZdgDg5uaGDh06mGxXvnx5NGjQAKIo\nIjIyMr/5EhERERFRIZgtAC5fvgxBENCqVas8h8KcPHkSQPbR/2bNmuXZNigoCACQkJCQ33yJiIiI\niKgQzBYAOXf7qVatWp5t7t69a7hQNjg4OM+YOQ/eSkpKsjRPIiIiIiKyArMFQM64fldX11e2OXv2\nLAAYbvvZrFmzPGMqlUqLEyQiIiIiIusxWwB4e3sDABQKxSvbREVFGV57eXmhdu3aecZMTEwEAHh6\nelqUJBERERERWYfZAqBMmTIAgIcPH76yzbFjxwBkj/9v3ry52ZlGRUVBEARUqlTJ0jyJiIiIiMgK\nzBYAb775JkRRxMmTJ42e7Jvjxo0buHfvnmH8f9u2bfOMd+nSJTx48AAAUKdOnYLkTEREREREBWS2\nAAgNDQWQfcHu+vXrc/1+3bp1AGB4QvCrbv+ZY8GCBYbX5ooFIiIiIiKyLrMPAmvTpg0CAwNx69Yt\nLFq0CCkpKXjnnXeQlZWFbdu2Ye/evYaj/71794aXl5fJOGq1GlOnTsXZs2chCAICAgLQpk0b6y4N\nERERERHlyWwBIJFIMGPGDAwbNgxarRZr167F2rVrDb8XBAGiKMLPzw9ffPFFrvcfOXIE586dw88/\n/4zk5GTD9ClTpkAqlVppMYiIiIiIyBJmhwABQJMmTbB69Wq4u7tDFMVc/ypWrIh169bBw8Mj13u/\n+uorrFmzBsnJyYZrCD777DO0bt3auktCRERERERmmT0DkKNly5b4448/sHnzZpw6dQrPnj2Dn58f\n2rRpg379+pns/AOAr6+v4YFfHh4emDx5Mt577z3rZE9ERERERPlicQEAZHfmx48fn68ZhISEIDAw\nEI0bN0aXLl1eeY0AERERERHZXr4KgIKYOHGirWdBREREREQWMnsNgE6ns9nMjxw5YrPYRERERESU\nm9kCYPz48VYvAjQaDebOnYtRo0ZZNS4REREREeXNbAFw4MABTJw4EXq93iozjImJQd++fbFp0yar\nxCMiIiIiIstZdBvQP/74A5MmTTLcxrOgdu7ciV69euH69euFikNERERERAVj8UXAv/32G2QyGRYs\nWJDvmWRkZGDq1KnYv38/RFE0PDk4KCgo37GIiIio+FClpeP00hX2TsMsrUIJAJC5yu2ciWVUaemA\nh6e906DXlNkC4JNPPsHKlSshCAL27NkDqVSKuXPnWjyDc+fOYeLEiYiPjzecQZBIJBg5ciQ+/fTT\ngmdOREREduXn52fvFCz2OCMTAOBbUjrVHp4lav1SyWK2APjss88glUqxfPlyCIKAXbt2QSaT4V//\n+lee7xNFEStWrMDKlSuNLiKuWrUqvvnmG9SvX7/w2RMREZHdbNu2zd4pWCw0NBQAcOjQITtnQmR/\nFg0BGjNmDGQyGb799lsIgoAdO3ZAJpNh2rRpJtsnJCRg4sSJiI6ONrpu4P3330d4eDjk8pJx+o2I\niIiI6HVj8TUAo0aNgkQiwZIlSyAIArZu3QqpVIovv/zSqN2BAwcwdepUpKWlGaaVK1cOc+fORevW\nra2XORERERER5Vu+ngQ8YsQIyGQyfP311xAEAZs2bYJMJsOkSZOgUqkwb9487Nixw3ChryiK6Ny5\nM2bOnAlvb29bLQMREREREVkoXwUAAAwfPhwSiQQLFiyAIAiIiIhARkYGzp07hzt37hiG/Hh6emLa\ntGno3r271ZMmIiIiIqKCyXcBAABDhw6FTCbDnDlzIAgCdu7caTTWv0WLFliwYAGvXiciIiIiKmYK\nVAAAwKBBgyCRSDB79uznwWQyhIeHY/DgwVZJjoiIiIiIrMuiJwG/yoABAwy3AxUEATqdDgqFwiqJ\nERERERGR9RWqAACAvn37Yvbs2Yan+y5duhQ//PBDoRMjIiIiIiLrK3QBAADvvfce5s6da7jzz6JF\ni7B+/XprhCYiIiIiIisyew3AmTNnLArk7++P9957z3Ab0IULF0KpVKJx48Z5vq9p06aWZUpERERE\nRIVmtgAYPHiwYXiPJXLaiqKIZcuWmW179epVi2MTEREREVHhWHwXoBdv85mXnAIgZzgQEREREREV\nH2YLgIoVKxZFHkREREREVATMFgB//fVXUeRBRERERERFwCp3ASIiIiIiopKBBQARERERkQOxeQFw\n8eJFKJVKW8+GiIiIiIgskO8CIDExEQsWLMCnn35qUfvRo0ejRYsWmDlzJhISEvKdIBERERERWU++\nCoCdO3eiY8eO2LBhA44ePQq1Wp1n+zt37iApKQlKpRLbt29H586dsXfv3kIlTEREREREBWdxAbB8\n+XJMnz4dCoUCoihCq9Xi/Pnzeb4nJiYGcrkcoihCFEVkZWVh0qRJ2Lx5c6ETJyIiIiKi/LPoQWB/\n/vknli9fbni4l7+/Pz766CMEBQXl+b6wsDBERUXht99+w6pVq3D//n2Iooh58+YhMDAQzZs3t8pC\nFFZCQgK2bt2K48eP48GDB1AoFPD29kbt2rXRtWtXdO/eHTKZxc9MIyIiIiIqtsyeAVCr1Zg7d67h\n5wEDBuD3339H//794e7ubnYGzs7O6NmzJ3755Rd06dIFAKDX6zFjxoxi8aTgffv2oVOnTli1ahUu\nX76MtLQ0aDQaJCUl4dixY5g8eTL69+/P6xeIiIiI6LVgtgD4888/ER8fD0EQ8O6772L69OlwcnLK\n94xcXFywaNEiNGvWDABw//59HDp0KP8ZW9HJkycxceJEZGVlwcXFBcOGDcOPP/6InTt3YsmSJWja\ntCkA4NKlS/j444+hUCjsmi8RERERUWGZLQAOHjwIILsDP2XKlMLNTCLBzJkzIQgCAODAgQOFilcY\noihi1qxZ0Ol0cHFxwcaNGzF58mS0atUK9evXR9euXbFp0yb0798fAHDjxg1s2LDBbvkSEREREVmD\n2QLg8uXLEAQBrVq1gpeXV6FnWL16dTRq1AiiKOLixYuFjldQ58+fx927dwEAgwcPRsOGDXO1EQQB\nX375JcqUKQMA2L17d5HmSERERERkbWYLgKSkJABAzZo1rTbTBg0aAACePHlitZj5FR0dbXjdrl27\nV7ZzcXFB48aNAWTf1cjcrU+JiIiIiIozs7e2UalUAAA3NzerzdTHxwcA7Dqmvn79+hg5ciSePHmC\nqlWr5tn2xYuVVSoVnJ2dbZ0eEREREZFNmC0A3N3dkZaWhoyMDKvNNKfj7+rqarWY+RUcHIzg4GCz\n7TQaDc6dOwcA8PT0hKenp61TKxI3b95ETEwMmjZtitKlSwPIfsrz2bNnERgYiBo1agAAlEolTpw4\nAS8vLzRu3BiCIECv1yM6OhpZWVlo0aIFXFxc7LkoRCXew4cPceXKFdSvXx8VK1a0dzpkgStXriAu\nLg7NmzeHt7e3vdMhM/R6PbRaLURRhEql4n6rmHn69CnOnDmDgIAAw4gTlUqFkydPwtXVFU2bNoVE\nkq9n15IZZguAypUr48qVK7h586bVZnrjxg0AMIytL85+/vlnJCcnAwBCQkLsnI11rFmzBmvWrAGQ\nPcTpu+++g1qtxueff24Y4jRu3Dh07NgRw4cPN9wCtXXr1li8eDHGjBmDqKgoAEClSpUQERFhKCKI\nKH/27NmDOXPmQBRFSKVSzJ49G2+//ba906I8LFq0CNu2bQOQfZBs9erVeOONN+ycFb2KTqfDp59+\najj42K9fP0RERKBUqVJ2zowA4MKFCxgzZgyUSiUA4OOPP0bfvn0xbNgwxMbGAgCaNGmC77//HlKp\n1J6pvlbMllP16tWDKIo4ffo0srKyCj3DzMxMnDx5EoIgWPW6Alu4f/8+Fi9ebPh52LBhdszGOjIy\nMrB+/XrDzyqVCmvXrsWqVauMrm9Yu3Yttm7davT8g2PHjmHLli2Gzj8AxMXFYdeuXUWSO9HraMWK\nFYZhhjqdDitWrLBzRpSXhIQE7Nixw/BzZmYmIiIi7JgRmXPy5Emj6/5iY2Pxn//8x44Z0YvWrFlj\n6PwDwPr16/F///d/htVkpxYAACAASURBVM4/kH3d5smTJ+2R3mvLbAEQFhYGIHvYjjVugxkREWGo\nwlu1alXoeLaSnJyMkSNHIi0tDQDQp08fw8XLJZlSqcx1IXN6ejrS09ONpqlUKsOyv+jp06e5pr38\nXiKyjCiKuYZX8u+peMvMzIRerzeaxm1WvJkawsxtVny8vH00Gg1SU1PNtqPCMVsAtGzZEtWqVYMo\nilixYoVRFZ1f0dHRWLVqFQBALpejY8eOBY5lS4mJiRg6dChiYmIAAHXq1MHUqVPtnJV1+Pr6onXr\n1kbT3n33XfTs2dNoWvv27dG7d2+j020VK1bE4MGDUbZsWcM0Z2dndO3a1bZJE72mBEHAO++8YzTt\n5b9FKl6qV6+e62DQu+++a6dsyBIhISHw9f3/9u47LIqrfxv4vTQFQVDBrohEjcYugjUqoGAvsUSN\nvT4JmsfYNYkYGxp7QY1G/dmxIdEYEBFFsRAssaOx0ARFkS6wwL5/7LvzsAK7Cyx17s91eV27O2fO\nnHGW2fOd08yF9/zdKl0+ved17twZw4YNU5pwxdzcvNx0wy4tJLLsU9zkwcfHB99//z0A+cBdV1fX\nHD9a6pw+fRq//PILUlJSIJFI8O2332LGjBkFK3URCgsLw6RJkxAWFgYAsLKywsGDB5VuHrmJiIiA\ng4MD/Pz8ULdu3eIoaoGlpqbixIkTePnyJbp27Yru3bsDkC/Mdv36dTRu3BhDhgyBgYEBHjx4gD//\n/BMmJiYYPnw4zM3N8ebNGxw/fhzJyckYOHAg+74SFUJmZia8vLzw4MEDtGnTBv369RMWS6TSKSkp\nCSdOnEBkZCTs7e3RsWPHki4SqREdHY0hQ4ZAJpNh3759aNKkSUkXibK5dOkSrly5AisrKwwdOhQV\nK1ZESEgIvLy8YGRkhKFDh6JmzZolXUytKQ11Ro0CAACYN28e/vjjD/lOEgmaNm2KIUOGwM7ODo0a\nNcp1n8ePHyMwMBBnz55FSEiI0M+1Xbt22L9/f6kbzHHnzh18++23QjeXRo0aYc+ePahevbrafUvD\nxSQiIqLc9ejRAwDg7+9fwiUhsSsNdUa1swAprFixAsnJyfDz8wMgr9yvWLECgHwWBHNzc1SpUgXp\n6en48OEDPnz4oDSoQ1H5b9++PbZv317qKv9//fUX5s+fL6x70KpVK+zcuZOzBBARERFRuaJxAKCv\nr4+tW7fit99+w/bt25Uq90lJSUhOTkZoaCgA5YWzFCpVqoRp06Zh8uTJpW4u18OHD2PZsmXCwK7u\n3btj48aNJbpOARERERFRUdA4AADkXX+mTZuGQYMG4cCBAzh37hxev34NIPdKv6KrUL9+/fDVV1+V\nysVSDh8+jKVLlwrvhw8fDldX11LXQkFEREREpA35CgAUatSogTlz5mDOnDl49eoVnj17hqioKKSk\npEBHRweVK1dG/fr10axZM5iZmWm7zFpz7do1LFu2THg/ffp0zJo1qwRLRERERERUtAoUAGTXoEED\nNGjQQAtFKV6JiYmYP3++0O1n/PjxrPwTERERUblX6ACgrDpw4ADevn0LAKhTpw769euHx48fq93P\n2tpaaW5aIiIiIqKypNABgEwmQ1hYGMLCwoSV9YyNjVGvXj1YWlqWugG/CtmXco+MjMTQoUM12o/T\nfBIRERFRWVbgAODq1as4ceIErl27lueS2kZGRujcuTO++uordOvWrcCF1LbY2FhERUWVdDGIiIiI\niIpdvgOAhw8fwtXVFQ8ePADwv9l/JBJJjpmAkpOT4evrC19fX3z++edYunQpWrZsqYViF07VqlUR\nEhJS0sUgIiIiIip2+eqfc+rUKYwcORIPHjyATCbLUeE3MzODubk59PX1hc8U6R4/foxRo0bh6NGj\n2ik5ERERERHlm8YtAGfPnsXixYsByCv1enp6+PLLL9GzZ0907NgRFhYWSnPnv3v3Dnfv3oWvry/O\nnTsHqVSKjIwMLF26FBUqVMDgwYO1fzZERERERKSSRi0AYWFh+Omnn4Sn+a1bt4anpyfc3d0xePBg\n1KxZM8fCWebm5nB0dMTq1atx4cIFdOrUCYA8eHB1dcXLly+1fzZERERERKSSRgGAm5sbPn78CIlE\nAmdnZxw9ehSNGjXS+CA1atTAnj17MGTIEABAeno6Vq9eXbASExERERFRgakNAJ4/f46LFy9CIpGg\nefPmWLNmTYEPtmzZMrRu3RoymQyXL1/G8+fPC5wXERERERHln9oA4Ny5c8Lrn376qVCLYOnq6mLR\nokXCe29v7wLnRURERERE+ac2AAgODgYANGrUSCtTeLZs2RLW1tYAgL///rvQ+RERERERkeY06gIk\nkUhgY2OjtYO2b98eMpkM//77r9byJCIiIiIi9dQGAAkJCQDkA3m1xcLCQilvIiIiIiIqHmoDAD09\n+VIB6enpWjto9tWDiYiIiIio+KgNAMzNzQEAUVFRWjtodHQ0AKBKlSpay5OIiIiIiNRTGwDUq1cP\nMpkMN27c0NpBr1+/DolEgs8++0xreRIRERERkXpqA4DOnTsDkLcABAQEFPqAV65cQWRkJADAzs6u\n0PkREREREZHm1AYADg4O0NGRJ1u7dm2hxgJ8/PgRbm5uAORrAvTt27fAeRERERERUf6pDQAsLS3R\nr18/yGQyPHv2DAsXLkRmZma+D5Seno7//ve/wrSi/fv3R+3atQtUaCIiIiIiKhi1AQAAzJo1C6am\npgDkKwOPGzcOL1++1PggISEhGDFihNCFqGrVqpg7d24BiktERERERIWhp0miWrVqYfPmzZg0aRIy\nMzNx69Yt9O3bF506dULXrl3RqlUr1KpVC5UrV0aFChWQkJCAt2/f4vbt27hw4QICAwMByKf/rFix\nIjZt2oSqVasW6YkREREREVFOGgUAgHzA7vbt2zF37lzExcVBJpMhMDBQqNyropj338zMDJs2bdLq\nqsJERERERKQ5jboAKXTt2hWnTp2Co6MjJBIJZDKZRv8kEgn69u0LLy8vzvxDRERERFSCNG4BUKhd\nuza2bt2KFy9e4OTJkwgKCsKjR49yDAyWSCSwsrJC9+7dMWzYMFhZWWmt0EREREREVDD5DgAUGjZs\nKAzkTUtLw/v37xEfH4+UlBRUqlQJ9erVQ6VKlbRWUCIiIiIiKrwCBwDZVahQAbVr1+a0nkRERERE\npVy+xgAQEREREVHZppUWgPyyt7dHVFQUJBIJHj16VBJFICIiIiISpRIJAID/TQ1KRERERETFh12A\niIiIiIhEhAEAEREREZGIMAAgIiIiIhIRBgBERERERCLCAICIiIiISEQYABARERERiQgDACIiIiIi\nEWEAQEREREQkIgwAiIiIiIhERO1KwKdPn9b6QVNSUrSeJxERERERqac2AFiwYAEkEklxlIWIiIiI\niIqY2gAAAGQyWVGXg4iIiIiIioHaAKB9+/bFUQ4iIiIiIioGagOAAwcOFEc5iIiIiIioGHAWICIi\nIiIiESlwAJCZmalROj8/P0RERBT0MEREREREpEX5DgCePHmCGTNmYPTo0WrTymQyLFq0CD179sSU\nKVPw8OHDAhWyOKWnp6Nfv35o0qQJ7t69W9LFISIiIiLSqnwFABs3bsRXX32FCxcu4P79+0hOTlaZ\n/vHjx4iPjwcAXL16FcOHD8eOHTsKXtpisH79ejx79qyki0FEREREVCQ0DgB++ukn7Ny5E1lZWZDJ\nZMjKysKdO3dU7vPhwwfUqVMHMpkMMpkMmZmZ2LRpE9asWVPogheFnTt3Yu/evSVdDCIiIiKiIqNR\nAHDs2DEcP34cgLxbT7t27fDbb7+hc+fOKvfr3Lkz/Pz8sH//frRt21bYf+/evfD29i5k0bUnPT0d\nS5Yswfr160u6KERERERERUptAJCcnIx169YJ7+fOnYtDhw6ha9euGq8QbGtri8OHD2PixIkA5EHA\nihUrIJVKC1hs7bl37x5GjhyJo0ePAgB0dXVLuEREREREREVHbQBw7tw5xMfHQyKRYPLkyZg0aVKB\nDzZv3jw4OTkBAN69e1firQBr167F8OHD8eDBAwCAg4MDxo0bV6JlIiIiIiIqSmoDgICAAACAiYkJ\nXFxcCn3ARYsWQU9Pvv7YpUuXCp1fYfzzzz+QyWQwMzPD8uXL4e7uDiMjoxItExERERFRUVIbADx6\n9AgSiQRdunRBhQoVCn3AGjVqwM7ODjKZTHjyXlIqV66MKVOm4Pz58xg2bFiJloWIiIi04927d0hK\nSlL6TDGBCRFpEADExsYCABo2bKi1g37xxRcA5H+gJWnLli2YM2cOTE1NS7QcREREVHgfP37EzJkz\n4ezsDCcnJ+zZswcAsHXrViQlJSE5ORnz5s1Denp6CZeUqGTpqUugGKhrYGCgtYMaGxsDANLS0rSW\nZ0Ho6BR4IWQiIiIqAqtXry7wGMG0tDShcp+WlgZ3d3fs2bMHqampQpqLFy+iR48eWq3XODs7Y/78\n+VrLj6ioqa0Bm5iYAICwoJc2KJrl2N+eiIiItCW3Lj6ZmZkapSMSE7UtAJaWloiLi8OTJ0+0dtCH\nDx8CkI8HICIiIlKYP39+gZ+m+/r6YuHChcJ7IyMj/P777xg7dqzS1OMbNmxAhw4dCl1WorJKbQDQ\npk0b3L17F3///Tfi4uJgZmZWqAPGxsbi5s2bkEgkaNKkSaHyIiIiIlLo2bMnPnz4AC8vL5iammLq\n1Klo1KgRNm7ciN9//x2pqakYOnQoK/8kemoDgJ49e2Lv3r2QSqVwd3fHokWLCnVAd3d3ZGRkQCKR\noGvXroXKi4iIiCi74cOHY/jw4Uqf2dnZwc7OroRKRFT6qB0D0LZtWzRr1gwymQwHDx7EX3/9VeCD\neXt749ChQ5BIJDA1NUXPnj0LnBcREREREeWfRtPgKPriyWQyzJkzB+7u7kp96dRJT0/Htm3bMGfO\nHMhkMgCAi4sLBwETERERERUztV2AAHnT2ZQpU7Br1y5kZWVhy5YtOHz4MPr37w87Ozu0bt1aaWyA\nTCZDbGws7ty5g8DAQPj6+uL9+/dC5b9nz5745ptviuaMiIiIiIgoTxoFAAAwe/ZsfPz4EQcPHoRE\nIsG7d++wb98+7Nu3DwCgr68PMzMzpKenIyEhQajsKyjeDxgwACtXrtTeGRARERERkcY0DgAA4Mcf\nf0Tr1q3h5uaGd+/eKVXy09PT8fbt2zz3rVOnDn744Qf07du34KUlIiIiIqJCyVcAAAD9+vWDo6Mj\nPD098eeff+Lu3bvIyMjINW3lypVhZ2eHfv36wcHBAXp6+T4cERERERFpUYFq5BUrVsTIkSMxcuRI\npKam4sWLF4iKikJKSgp0dXVhYmKC+vXro379+pBIJNouMxERERERFVChH8lXrFgRzZo1Q7NmzbRR\nHiIiIiIiKkLsk/OJGTNmYMaMGSVdDCIiIiKiIqHROgBERERERFQ+MAAgIiIiIhIRBgBERERERCLC\nAICIiIiISEQYABARERERiQgDACIiIiIiEWEAQEREREQkIgwAiIiIiIhEhAEAEREREZGIMAAgIiIi\nIhIRBgBERERERCLCAICIiIiISEQYABARERERiQgDACIiIiIiEWEAQEREREQkIgwAiIiIiIhEhAEA\nEREREZGIMAAgIiIiIhIRBgBERERERCLCAICIiIiISEQYABARERERiQgDACIiIiIiEWEAQEREREQk\nIgwAiIiIiIhEhAEAEREREZGIMAAgIiIiIhIRBgBERERERCLCAICIiIiISEQYABARERERiQgDACIi\nIiIiEWEAQEREREQkIgwAiIiIiIhEhAEAEREREZGIMAAgIiIiIhIRBgBERERERCLCAICIiIiISEQY\nABARERERiQgDACIiIiIiEWEAQEREREQkIgwAiIiIiIhEhAEAEREREZGIMAAgIiIiIhIRvZIuQEmT\nSqU4duwYzpw5g2fPnkEqlaJGjRro3LkzxowZA2tr65IuIhERERGR1og6APjw4QOmTJmC+/fvK30e\nFhaGsLAwnDp1CkuXLsXgwYNLqIRERERERNol2gAgKysLM2bMECr/zs7OGDJkCExMTHDr1i3s3LkT\niYmJ+PHHH1GrVi106NChhEtMRERERFR4og0APD098ffffwMAJk6ciPnz5wvb2rZtC3t7e4waNQpx\ncXFYsWIFvLy8oKPDIRNEREREVLaJtka7b98+AIC5uTm+//77HNutra3h4uICAHj69CkCAgKKs3hE\nREREREVClAHAq1ev8PTpUwCAk5MTKlasmGu6wYMHQ1dXFwDg7e1dbOUjIiIiIioqogwAbt++Lby2\ntbXNM52xsTE+//xzAMCNGzeKvFxEREREREVNlAHA8+fPhdcNGjRQmbZ+/foAgKioKCQnJxdlsYiI\niIiIipwoA4A3b94Ir2vVqqUybfbtb9++LbIyEREREREVB1EGAPHx8cLrSpUqqUxraGgovE5MTCyy\nMhERERERFQdRBgDp6ekAAF1dXejpqZ4JNfsAYcV+RERERERllSgDAMXMPhKJRG1amUwmvNYkPRER\nERFRaSbKAMDIyAgAkJGRgczMTJVp09LShNcGBgZFWi4iIiIioqImygAge7//jx8/qkybfbuZmVmR\nlYmIiIiIqDiIMgCoXbu28DoqKkplWsV2iUQCCwuLIi0XEREREVFRE2UA0KhRI+F1WFiYyrSK7XXq\n1MlzxWAiIiIiorJClAFAy5YthdfBwcF5pktKSsKTJ08AADY2NkVeLiIiIiKioibKAKBu3bpo3rw5\nAODPP//Mc3pPT09PYZBwz549i618RERERERFRZQBAAB88803AOSrAru5ueXY/vz5c2zduhUAYGlp\nie7duxdn8YiIiIiIioTqVbDKsUGDBuHEiRMIDg7GoUOHEB4ejpEjR8LMzAx37tzBjh07kJCQAB0d\nHSxZskTtgmFERERERGWBaGu1EokEW7duxeTJk/HgwQMEBAQgICBAKY2+vj5cXV3RuXPnEiolERER\nEZF2iTYAAIAqVarAw8MDx44dw9mzZ/Hvv/8iJSUFFhYW6NChAyZMmIDGjRuXdDGJiIiIiLRG1AEA\nAOjp6WHUqFEYNWpUSReFiIiIiKjIiXYQMBERERGRGDEAICIiIiISEQYAREREREQiwgCAiIiIiEhE\nGAAQEREREYkIAwAiIiIiIhFhAEBEREREJCIMAIiIiIiIRIQBABERERGRiDAAICIiIiISEQYARERE\nREQiwgCAiIiIiEhEGAAQEREREYkIAwAiIiIiIhFhAEBEREREJCIMAIiIiIiIRIQBABERERGRiDAA\nICIiIiISEQYAREREREQiwgCAiIiIiEhEGAAQEREREYkIAwAiIiIiIhFhAEBEREREJCIMAIiIiIiI\nRIQBABERERGRiDAAICIiIiISEQYAREREREQiwgCAiIiIiEhEGAAQEREREYkIAwAiIiIiIhFhAEBE\nREREJCIMAIiIiIiIRIQBABERERGRiDAAICIiIiISEQYAREREREQiwgCAiIiIiEhEGAAQEREREYkI\nAwAiIiIiIhFhAEBEREREJCIMAIiIiIiIRIQBABERERGRiDAA+ISXlxeaNGmCSZMmlXRRiIiIiIi0\njgFANuHh4Vi5cmVJF4OIiIiIqMgwAPj/3rx5g/HjxyMuLq6ki0JEREREVGQYAAC4c+cOhg0bhoiI\niJIuChERERFRkdIr6QKUpNTUVOzevRs7duyAVCqFjo4OsrKySrpYRERERERFRrQtAKGhoXB2dsaW\nLVsglUphbGyM7du3l3SxiIiIiIiKlGgDgOjoaERFRQEAunfvjrNnz6J79+4lWygiIiIioiIm2i5A\nEokEbdu2hYuLCzp37lzSxSEiIiIiKhaiDQBsbGxw5MiRki4GEREREVGxEm0AoKOj3d5PmZmZAORd\ni4iIiIiIcqOoKyrqjiWhzAUA/v7+mD59er73q1OnDi5evFgEJZKLiYkBAIwePbrIjkFERERE5UNM\nTAwsLS1L5NhlLgAorZo3b45Dhw7BwsICurq6JV0cIiIiIiqFMjMzERMTg+bNm5dYGcpcAGBtbY3Z\ns2fnez9jY+MiKM3/VKxYETY2NkV6DCIiIiIq+0rqyb9CmQsA6tevj6lTp5Z0MYiIiIiIyiTRrgNA\nRERERCRGDACIiIiIiESEAQARERERkYgwACAiIiIiEpEyNwiY8jZmzBgEBQUJ73v37o2NGzdqvP/N\nmzcxduxY4X2XLl3w+++/q93v3r17OHfuHG7duoXQ0FAkJyfD0NAQtWrVQps2bTBgwAC1MyQtWLAA\nnp6eAID9+/fDzs5O43KXJWK6RgW9pur2a9Kkicr9JRIJDAwMULlyZVhZWaFTp04YMWIEqlatqvbY\nwcHBOH/+PG7evIm3b98iMTERpqamqFatGmxsbGBvb48uXbpodB6l1affIQA4d+4crK2tNc7j0++x\nh4cHWrdurXKf5ORknDt3DpcuXcLjx4/x/v17ZGVlwczMDI0bN0a3bt0wcOBAmJqa5plHREQEHBwc\nAAC2trY4cOCARuX99DuzZMkSjBo1SqN9AWDLli3YunWr8H727NlqJ6PIysqCv78/Lly4gHv37iEq\nKgppaWkwNjaGlZUV7OzsMGTIELUzgdjb2yMyMhIAEBISonGZy6Lyfp14TyzdPv3+WFhYICAgQOOF\nYz9+/IhOnTohJSUFAGBgYID79++r3e/169c4e/YsAgMD8fz5c8TFxUFfXx/VqlXDF198AScnJ/Ts\n2RP6+vp55nHq1CksXLgQAODi4oIZM2aoPS4DgHLs8uXLSE1NRcWKFTVK/9dff+Ur/xcvXuCXX37B\n9evXc2xLTExEYmIinj59Cg8PD3z55ZdYsWIFqlevnq9jlHe8Rtonk8mQlpaGmJgYxMTEICgoCLt2\n7cKaNWvg6OiY6z6xsbH48ccf4efnl2Pbu3fv8O7dO4SEhODQoUNo27Ytli9fnq8Kc2nn7e2N7777\nTqO0MTExCA4O1jjvzMxM7N+/H+7u7khISMix/e3bt3j79i2uXr2KrVu3Yt68eRg6dKjG+ReEj49P\nviqW3t7e+cr/8uXLWLFiBUJDQ3Nsi4uLw507d3Dnzh3s2rULY8aMwZw5c1T+uIsVr5N28J5YMDEx\nMbh9+7bGU7z7+/sLlX9NJCQkYO3atTh58iQyMjKUtkmlUqSkpCA8PBze3t5o2LAhVq5ciTZt2uTr\nHFRhAFCOpaSk4MqVK+jZs6fatJmZmfD19dU4b39/f8yaNQsfP34EALRo0QJ9+/bF559/DmNjYyQk\nJOCff/7B8ePH8fr1awQEBGDEiBE4cOAA6tatW+BzKm94jQrOwsICu3btynVbeno63r9/j3PnzuHs\n2bNITk7GzJkz4eHhgRYtWiilTUlJwdSpU4UnNZ06dYKzszOsrKxgaGiIlJQUPHv2DKdPn8b9+/dx\n+/ZtjBs3DocPH0b9+vWL/DyLg4+Pj8YBgI+PD7KysjRKm5KSgpkzZ+LKlSsAgEqVKqFfv37o0KED\natWqBYlEgvDwcPj6+uL8+fOIj4/H4sWLERkZie+//77A56PO33//jdjYWI2egD59+hT//vuvxnlv\n3rwZ27ZtAwDo6OigR48e6NGjB6ysrGBgYICYmBhcv34dJ0+eREpKCvbt24enT59i586dMDAwKPA5\nlUe8TvnDe6L2eXt7axwA5CcADQ0NxaRJkxAeHg4AqF27NgYMGIDWrVujWrVqSE9PR0hICE6fPo17\n9+7hxYsXGDduHLZs2YJu3boV6Fw+xQCgHNLX14eRkRHi4+Ph7e2tUeUyKCgI7969g4GBAdLT01Wm\nvX37NmbMmAGpVAp9fX2sWLECAwcOzJGuc+fOmDBhAhYvXow///wTr1+/houLC06cOAE9PXF/9XiN\nCs/AwABNmzZVmcbe3h6fffYZNmzYgMzMTKxevRoHDx5USrNv3z7hh+7HH3/EmDFjcuRjZ2eH0aNH\nY9OmTdi+fTtiYmKwdOlSjbpflWbVqlXD+/fvERISglevXqFBgwZq91G0Qqn7HspkMsyePVuo/NvZ\n2WH9+vUwNzdXSte6dWv0798fN27cgIuLCxITE+Hu7o7GjRujd+/eBT+5XCjONzMzExcuXMDw4cPV\n7qPp+QLAnj17hEplzZo14e7uji+++CJHOgcHB0ycOBHTpk3D06dPce3aNbi5ueHnn38uwFmVP7xO\nBcN7ovYovoO+vr5YvHgxJBKJyvQpKSm4fPkyAPXfwdjYWEyYMEHoMjZ+/HjMnj07R2BpY2OD0aNH\nY+/evVi9ejXS0tIwa9YseHl5oV69eoU8Qw4CziEkJAQhISFl+ksskUiEfrKXLl1SezME/nfz7Nq1\nq8p0aWlpmD9/PqRSKXR1dbFp06ZcK5YKhoaGWLNmDVq1agUAePz4MTw8PDQ9lXKL16j4TJkyBbVr\n1wYg788aFRWltF1xrq1atcr1h05BIpHgv//9r9AEe/XqVTx//ryISl08sjf/nz9/Xm36N2/e4Nat\nWwDUfw+PHTuGixcvApD319+5c2eOyn92HTp0wJo1a4T3bm5uGv1d5EfTpk2F1i0fHx+N9tH07+7f\nf//F+vXrAcifxO7fvz/XSqVC7dq18dtvv8HExAQAcOTIkXLfx19TvE5Fi/dE9RQP5aKjo/HPP/+o\nTX/x4kWkpqbCzMwMzZs3V5l2xYoVQuV/0qRJWLhwocpWpQkTJmD8+PEA5GOpfv31Vw3PQjUGAOWU\ns7MzACApKQmBgYEq02bvWtKnTx+VaY8fP46wsDAAwMCBA4VKrCp6enqYN2+e8P7Tpw1iJaZr9Omg\n0+Kkq6uLTp06AZA/lX769KmwLSkpCdHR0QCg0dNvABg0aJDwWtOKwJgxY9CkSROVP6YloW7dukLz\nvybN197e3pDJZGjQoIHKJ41SqRRbtmwBIP9urVixAoaGhmrzt7e3R8eOHQHIf3gvXLigyWnki5OT\nEwD5YOj4+HiVe6R0zQAAIABJREFUaZ88eYKXL19CIpEIf6952bx5M6RSKQBgzpw5ageNAkCtWrUw\nceJEAPLBqIcPH9bkFERBDNeppO4LvCeq5+DgIIz30CQIVQSgTk5OKlvPQ0JCcPbsWQCApaUlZs+e\nrVF5XFxchAkSLly4gDdv3mi0nyqlu41fxF68eIHDhw/jxo0biIiIQFZWFqpUqYIvvvgCvXr1Qr9+\n/VR+yTp27IjKlSsjISEBPj4+6NGjR55pb9y4gdjYWFSsWFFlOgBKT4b/85//aHw+NjY2+Prrr1G/\nfn3Y2NhAJpOpbVIr7XiNyo5q1aoJrxMTE3NN888//whdplTp0aMHKlasiKpVq6ptbi9KGRkZ+OOP\nP3Du3Dk8evQI8fHxqFSpEmrXro0OHTpg5MiRGlVunJ2dcf/+fTx8+BAREREqx38ofuTUBaEXL15E\nTEwMAKBv37756hc8efJkWFtbo127dujQoYMww8ns2bOVugQFBwejVatWaNiwIZydnTFmzBgYGRmp\nzd/Z2Rm///47pFIp/Pz8MGTIkDzTKs63Xbt2qFGjRp7p3r9/LwQrdevWRf/+/TU6VwAYNmwYXr16\nBRsbmzI9+1n26zRlyhQcP34cx44dw4sXL5CZmcnrVMqUt3uiYgYfxcw7oaGh2LFjBwIDAxEbGwsz\nMzO0a9cOY8eORbt27dTmV7lyZXTq1AmXL1+Gj48P5s+fn2fapKQkoatj79694e7unmfaY8eOCa+n\nTp0KXV1djc7P2NgY3377LT58+ID27durnC1NUwwASqEzZ85g4cKFwlMKhejoaERHR8PPzw/79u3D\n7t2782xSNzAwgIODAzw9PXHx4kWVf8Tnzp0DAHTr1g2VKlXKs1xRUVHCk4LPPvss34N9li5dmq/0\npRmvUdny/v174XWVKlWE18bGxqhXrx7Cw8Px6tUrLFiwAIsWLVL6cfxUjRo1lJ54lYTExERMnToV\nt2/fVvo8Pj4e8fHxePz4Mfbv34/Fixdj9OjRKvNydnYWmpR9fHwwadKkXNNFR0fj7t27AOQBgKoW\nA0VfWABqA9ZPdenSJddpBbOysvDLL78ovU9NTcWjR4/w6NEjeHp6Ys+ePULXhry0bNkSderUQWRk\nJHx8fDSqWKoLeK5cuYLMzEwAwJdffqnxjzog74aSvetTWZeVlYXvv/8+x1NTXqfSpbzdE7MLDg7G\ntGnTkJSUJHwWExMDb29veHt7azQ9LCC/N16+fBmRkZG4f/9+jsHSCn5+fkhLS4O5uTlsbW1VBgCF\nuTcqugFpC7sAlTKhoaFYtGgRpFIp6tatC1dXVxw+fBgeHh749ddfhb52jx8/VltZUzSFxsfH5zoN\nJCB/iqh4IqJuwN2jR4+E15pE0OUVr1HZkpGRIXSx0tXVRcuWLZW2T5gwQXh99uxZdOvWDdOnT8fh\nw4dLbX/WVatWCZX/oUOHYufOnThx4gR+//13TJs2DUZGRsjMzMTy5cvx+PFjlXnVrVtX6LOqqqn7\nr7/+gkwmw2effYZGjRqpzDP7MTWdQUOdgwcPIiAgQHjftGlTuLu748svvwQAvHz5Et98840w65Uq\niu4lgYGBSpWE7B4+fIjQ0FDo6OigV69eKvMrivMtqw4ePAgfHx9Uq1YNixYtwtGjR3mdSpnyeE9U\nyMzMxIwZM5CUlIRevXrht99+w9GjRzFnzhxUrlwZALBu3TqNunFp2g1IEYD26tVLZVCZlJQkzPpj\nZWWlMqgqDmwBKGXOnDmD9PR06OrqYv/+/ahTp46wrXXr1ujduzfGjBmDO3fuwNfXV+UUaZ06dYKJ\niQkSExNx/vx54Qac3bVr1xAXFwcjIyN0795dZdkUg1YAqH16U57xGhWMuoqoQlxcnNaOKZPJsG7d\nOmGQm5OTkzCYT2H06NG4f/++sNCOVCqFv78//P39AQBVq1ZF+/bt0alTJ/To0UNlF4PikJ6ejjNn\nzgCQd0tYvny50vYuXbqgXbt2mDp1KrKysnDixAn89NNPKvN0dnbGgwcPcO/ePURHR6NmzZo50ih+\n5DSZmUfxPdTX14eFhYVG56VOTEwMatasKfRPNjExgYODAxwcHLB8+XIcOHAAkZGR2LVrF2bOnKky\nr969e2PPnj2QSqW4ePEiBgwYkCON4nzbt28PCwsLvHjxIs/8sv/d1apVqyCnV27ExMSgTp06OHz4\nsNL3iNdJWVhYGJKTkwHIB3aquj/ynqi5zMxMxMbG4r///a9SF9g2bdrA0dERI0eOxIcPH7Bx40b0\n6dMHZmZmeeZlamqKjh07IiAgAOfPn8ecOXNypElMTBSCKXUtUBEREcLr0vD7zACglFH0mzUyMsp1\nQSZ9fX3MnDkTFy9eRN26dSGTyfLMS9HF5PTp07hw4QKWLl2aIzpV3Dx79OihdpCe4mYFKDcZig2v\nUU5xcXE5ZpL49EdL203E6enpuf5oymQyJCYm4t9//8WZM2dw584dAPI+nbndwAH5jDNt27bFhg0b\nEBsbq7QtNjYWPj4+8PHxwdKlS9GjRw8sWLAg1+5Vr1+/znXAorofenNzc40rygkJCcLsOHn18e/W\nrRvGjBkDU1PTHE/3cuPs7Iy1a9dCJpPBx8cH48aNU9oeGRkpzISh7kcO+N/5qvpxLYg5c+bkeg3n\nz5+PS5cuITw8HMeOHcOMGTNUjl/5tHtJbhVLRRen/JwvIO57o8LKlStzDSLFep0U94Xs98Qff/xR\neP3w4UOt3B/Fek/8VPv27XMd/2ZlZYXZs2fjxx9/RHx8PM6dO6d2oTlnZ2cEBAQgNDQUT548weef\nf6603c/PD+np6ahevbraVvfSdp9gAFDKNGzYEIA8qvz+++8xe/bsHKvrderUSRjBr46zszNOnz6N\nDx8+ICgoSJhhA4AwuArQ7OaZvWKq7en5yhJeo5wuXrwoLENeXGJiYjT+0axZsya2bNmi1FrzqeHD\nh2PQoEEICAiAn58frl27JjxtVsjKyoKfnx+uXr2K1atX53gavnnzZuGpWW7y+qHXdOl2QD54z8zM\nDHFxccLUmr17986xmnT2CoY69erVwxdffIGHDx/mGgAogtDPP/9c+P6roqMj71366RiZwrC2ts5z\nFUx9fX0MGDAA27ZtQ0xMDO7fv6828HFycsKePXtw5coVJCcnK42tuXfvHsLDw6Gnp6e2Wwnwv/MF\nxH1vBOTXqUOHDrluE+t1Undf0Bax3hM/papS379/f/zyyy9IT0+Hv7+/2gDA0dERS5YsgVQqhbe3\nd44AQDE+z9nZWen7lZvSVofiGIBSZtCgQcJTZT8/P/Tp0weOjo74+eef4e3tjYSEhHzl17lzZ6F5\n79NBe4GBgYiPj4exsXGuXU8+lX3UuTabJMsaXiPtsbW1FdbeUPwbPHhwofLU0dFB5cqV0aBBAzg7\nO2PFihU4f/68Rk/CDQwM4OjoiFWrVuHy5cs4f/48li9fjr59+yr936alpWHu3LnCoNjiJJFIMHny\nZADyIHTBggWwtbXFxIkTsWvXLjx+/Fhlq1NeFONR7ty5g7dv3ypt03SQpYLi/yohIUHjVYPVadu2\nrcrtzZo1E16r6gaioDjftLQ0pYF5wP/Ot0OHDhqtQpu9paMs/N0VJV4n7XFxceE9sQBUPYmvWLGi\n8MBOk++fqampENB+ulZKQkICrl27BkCze2Np+31mC0ApY2pqin379mHRokXCH1J4eDg8PDzg4eEB\nXV1dtG/fHl999RX69++vdppGAwMD2Nvbw8vLCxcuXMCSJUuEKFVx83RwcNBoafPszXvamINWU+r6\njltbWxfr0uy8RjkNGTIkxywdCxYsUHryo+3Fc+rUqSMsNFVULC0tYWlpiWHDhkEqlcLLywvr1q1D\nbGwspFIptm7dit27dwvp3dzc4ObmliOfMWPGICgoCLa2tjhw4EChyzVlyhRkZWXB3d0dqampSEtL\nQ2BgIAIDA7F27VpUr14dTk5OGD9+vMppPbPr3bs31q1bh6ysLPj6+gqzB4WHh+PBgwdCGk1YWloi\nJiYGWVlZiImJ0Uof4dy622WXvQKo6KanSqtWrVC7dm28fv0a3t7eSj/gigF/mp5vSfzdJScnC+t9\n5EZfXx+fffZZsZQlO16nnBT3hez3xP3792Pr1q1avS+I+Z6oIJFI1HYdUnwH3717p1Gezs7OuHLl\nCp4/f45nz54JkyD4+vpCKpWidu3aaN26tdp86tSpAz09PWRkZBTr9y8vbAEohaytreHh4YFjx45h\n0qRJSjNuZGZm4saNG5g7dy4mTJiA1NRUtfkpnqC8e/dOWMUzPT09X11LAKBFixZCE1ZQUFC+zgmQ\nD57dvHkzbt68ma/mr0GDBqn89+nTyuLAa1Q+JCQk4MWLF3jy5InatPr6+hg6dCgOHjwoBGM3btzQ\n2hPu/Jo2bRoCAgKwYsUKODg4KHWNePv2LQ4cOIA+ffpoXCFQdAMClGe8UAShzZs313ha2exPFm/e\nvKnRPgpSqRSLFi3CqVOnlAZtqpuyMft1UDdvuYJilpkrV64If6d3795FZGQk9PX1hdVA1VGsog0U\n7O9uy5Yt2LdvX75abx48eKDyvqjJNIdFgdepbCvL90RA3tqhriuOYipYTb9/jo6Owpo+2e+N2bv/\naLJmjoGBgdCFKDQ0NN9BwJMnT7B8+XJcuHBB7eJ4mmAAUIq1atUK8+bNw9mzZ3H16lWsXbsW/fr1\nE/r6Xr9+Hb///rvafLp06QJjY2MA//vyXr16FYmJiTA1NdW4r7qxsbHQtBYaGipMZ6WpQ4cOYdu2\nbRg7dqxQyS3reI3Ktj59+qB37955zn2fG2tra6E7llQqxYcPH4qqeGqZmppi6NChcHd3R1BQEI4e\nPYoZM2YIAWlaWhrmz5+f5xSKn1IEosHBwcLAv/wMslTIPluVulWuPxUUFISTJ09i4cKFmDt3rvC5\nuh+87AMV1T2FVlCcb0pKijDFqOJ8O3furPFiO7a2tsIA/WvXruWrcpiUlIRdu3Zh1apVGDFiBFJS\nUjTetzTidSrbyvo9MTMzM8+FzRQU30FNBxmbmZkJ3YAUv89xcXG4ceMGgILfG69evarxfoD8YcyB\nAwfw3XffYe/evfnaNzcMAEqZ1NRUPH78GM+ePVP63MLCAv3798e6detw5MgRIcK9dOmS2jwVXUwA\neZOVTCYTbp6Ojo756j6TvS9ifprtHj58KMw8YGFhAVtbW433/bSP+Kf/NO3ioC28RuWHYqn7d+/e\nKa2hoI5iJVMDA4MSmc0hOjoa169fR0ZGhvCZnp4e2rRpAxcXF5w5c0Z4apqQkKBxMKeoaGVmZsLP\nzw/h4eF4+PAhJBKJxt0sAHlFS/F36e3trVFXD4Xs39m+ffsKr9V1Bbx//77wWrEqrTqtWrUSpoNU\n9O/Nb7cSQP59UPzfRUZGCi13mjh+/DjS0tIAyCsHqhb6y87Ozk7lfbGou4LkhdepbCur98TsVH0H\nk5OT8fLlSwDIMaBXFcX35unTpwgNDcWFCxeQkZGBevXq5blAWG4GDhwo1A0OHTqkcRD68eNHnDhx\nQnif/d5YUAwASpH09HTY2dlh0KBBcHV1zTNds2bNhMhVcUNSR/HljY6Oxu3bt4X5fPMTuQLyEfSK\nH/ZDhw4hODhY7T5paWn4+eefhfeTJ0/O1wqMpQmvUfni6OgovN6wYYNGTddpaWnCkx8bGxu1zc3a\n5u7ujm7dumH8+PH4+++/c00jkUjQtWtX4b2m3bnq168vDNL09fUVKlmtW7fO17zVEokE06dPByAP\nmBcvXiw0u6vi4+MjfO8tLCzw1VdfCdtu3bqVZ5N5eno6zp49C0D+NPLTWblUlVMRKF26dAm3bt3C\n69evhYGP+TFlyhShm8CKFSuUVlrNS3h4OLZu3Sq8nzZtWr6OWRrdunVLqetWdrxOpV9ZvCd+ysvL\nS+U2xexkmnYdA5S7Afn6+gqBaH5/n+vXr49+/foBkD9027Vrl0b7rV27VhizYG9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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "ANOVA F: 2.81093612143\n", "p value: 0.0174165066523\n", "Multiple Comparison of Means - Tukey HSD,FWER=0.05\n", "==================================================\n", " group1 group2 meandiff lower upper reject\n", "--------------------------------------------------\n", "HPS+ pMCI HPS+ sMCI 0.1923 -0.5487 0.9333 False \n", "HPS+ pMCI pMCI+ -0.6713 -1.5406 0.1979 False \n", "HPS+ pMCI pMCI- 0.0256 -0.7154 0.7666 False \n", "HPS+ pMCI sMCI+ 0.359 -0.3501 1.068 False \n", "HPS+ pMCI sMCI- 0.2205 -0.295 0.736 False \n", "HPS+ sMCI pMCI+ -0.8636 -1.7885 0.0612 False \n", "HPS+ sMCI pMCI- -0.1667 -0.9722 0.6389 False \n", "HPS+ sMCI sMCI+ 0.1667 -0.6096 0.9429 False \n", "HPS+ sMCI sMCI- 0.0282 -0.5765 0.6328 False \n", " pMCI+ pMCI- 0.697 -0.2279 1.6218 False \n", " pMCI+ sMCI+ 1.0303 0.1308 1.9298 True \n", " pMCI+ sMCI- 0.8918 0.1355 1.6482 True \n", " pMCI- sMCI+ 0.3333 -0.4429 1.1096 False \n", " pMCI- sMCI- 0.1948 -0.4098 0.7995 False \n", " sMCI+ sMCI- -0.1385 -0.7035 0.4265 False \n", "--------------------------------------------------\n" ] } ], "source": [ "anova_hpc_split(df4, 'CLOCKSCOR', -1, 6, 'sMCI', 'pMCI', path_results + 'adni2_mci_clock_split.pdf')" ] }, { "cell_type": "code", "execution_count": 197, "metadata": {}, "outputs": [ { "data": { "image/png": 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5hE1ktI4dO4Y//vhD+Fmj0WDZsmXw9PQ0eD4CERH9j1Em7wBQqVIl7NmzB3v3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\nx3Hr1i2kpaVBXV0dL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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "ANOVA F: 26.2127405205\n", "p value: 5.34431604282e-11\n", "Multiple Comparison of Means - Tukey HSD,FWER=0.05\n", "=================================================\n", " group1 group2 meandiff lower upper reject\n", "-------------------------------------------------\n", " HPS+ Negative 0.0471 0.0303 0.064 True \n", " HPS+ Non-HPS+ 0.0133 -0.0096 0.0363 False \n", "Negative Non-HPS+ -0.0338 -0.0529 -0.0146 True \n", "-------------------------------------------------\n" ] } ], "source": [ "anova_hpc(df4, 'mean_gm', 0.2, 0.6, path_results + 'adni2_mci_meangm.pdf')" ] }, { "cell_type": "code", "execution_count": 198, "metadata": {}, "outputs": [ { "data": { "image/png": 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LwK5duxg/fjxPPfUU06ZNw2azUa5cOQYMGMDOnTvdBim3b9+euLg4lixZQnR0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\n+mjUqBEcHBwwYsQINGzY8HXvL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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "ANOVA F: 11.3418282949\n", "p value: 8.50943730046e-10\n", "Multiple Comparison of Means - Tukey HSD,FWER=0.05\n", "==================================================\n", " group1 group2 meandiff lower upper reject\n", "--------------------------------------------------\n", "HPS+ pMCI HPS+ sMCI 0.0001 -0.0368 0.0369 False \n", "HPS+ pMCI pMCI+ 0.0268 -0.0164 0.0701 False \n", "HPS+ pMCI pMCI- 0.033 -0.0039 0.0699 False \n", "HPS+ pMCI sMCI+ 0.0063 -0.029 0.0416 False \n", "HPS+ pMCI sMCI- 0.0489 0.0233 0.0746 True \n", "HPS+ sMCI pMCI+ 0.0268 -0.0193 0.0728 False \n", "HPS+ sMCI pMCI- 0.0329 -0.0072 0.073 False \n", "HPS+ sMCI sMCI+ 0.0063 -0.0324 0.0449 False \n", "HPS+ sMCI sMCI- 0.0489 0.0188 0.0789 True \n", " pMCI+ pMCI- 0.0062 -0.0399 0.0522 False \n", " pMCI+ sMCI+ -0.0205 -0.0653 0.0243 False \n", " pMCI+ sMCI- 0.0221 -0.0155 0.0597 False \n", " pMCI- sMCI+ -0.0267 -0.0653 0.012 False \n", " pMCI- sMCI- 0.0159 -0.0141 0.046 False \n", " sMCI+ sMCI- 0.0426 0.0145 0.0707 True \n", "--------------------------------------------------\n" ] } ], "source": [ "anova_hpc_split(df4, 'mean_gm', 0.2, 0.6, 'sMCI', 'pMCI', path_results + 'adni2_mci_meangm_split.pdf')" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] } ], "metadata": { "anaconda-cloud": {}, "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.6.5" } }, "nbformat": 4, "nbformat_minor": 2 }