{ "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 matplotlib.pyplot as plt\n", "import seaborn as sns\n", "from nilearn import image\n", "from nilearn import plotting\n", "\n", "import statsmodels.api as sm\n", "import statsmodels.formula.api as smf\n", "from scipy import stats" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# load the data " ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": true }, "outputs": [], "source": [ "path_data = '/Users/AngelaTam/Desktop/adsf/adni1_vbm_adcn_subtypes_20171209/'" ] }, { "cell_type": "code", "execution_count": 80, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# load adni csv\n", "adni1_df = pd.read_csv(path_data + '7clus/adni1_model_weights.csv')\n", "adni2_df = pd.read_csv(path_data + '7clus/adni2_model_weights.csv')\n", "adni1_mci = pd.read_csv(path_data + '7clus/adni1_mci_filter_model_weights.csv')\n", "adni2_mci = pd.read_csv(path_data + '7clus/adni2_mci_filter_model_weights.csv')" ] }, { "cell_type": "code", "execution_count": 81, "metadata": { "collapsed": true }, "outputs": [], "source": [ "adni1_df.set_index('RID',inplace=True)\n", "adni2_df.set_index('RID',inplace=True)\n", "adni1_mci.set_index('RID',inplace=True)\n", "adni2_mci.set_index('RID',inplace=True)" ] }, { "cell_type": "code", "execution_count": 82, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# get rid of duplicates from ADNI1 in ADNI2 \n", "adni2_df = adni2_df.loc[set(adni2_df.index)-set(adni1_df.index)]" ] }, { "cell_type": "code", "execution_count": 83, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# get just ad & cn subjects\n", "adni1_adcn = adni1_df.loc[set(adni1_df.index)-set(adni1_mci.index)]\n", "adni2_adcn = adni2_df.loc[set(adni2_df.index)-set(adni2_mci.index)]" ] }, { "cell_type": "code", "execution_count": 85, "metadata": { "collapsed": true }, "outputs": [], "source": [ "frames = [adni1_adcn, adni1_mci, adni2_adcn, adni2_mci]\n", "adni_df = pd.concat(frames)" ] }, { "cell_type": "code", "execution_count": 86, "metadata": { "collapsed": true }, "outputs": [], "source": [ "adni_df.reset_index(inplace=True)" ] }, { "cell_type": "code", "execution_count": 87, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/AngelaTam/anaconda3/lib/python3.5/site-packages/ipykernel/__main__.py:8: 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": [ "# add categorical variable for diagnosis\n", "for i,row in adni_df.iterrows():\n", " cn = row[adni_df.columns.get_loc(\"CN\")]\n", " mci = row[adni_df.columns.get_loc(\"MCI\")]\n", " ad = row[adni_df.columns.get_loc(\"AD\")]\n", " conv_2_ad = row[adni_df.columns.get_loc(\"conv_2_ad\")]\n", " if cn == 1:\n", " adni_df.ix[i,'diagnosis'] = 'CN'\n", " adni_df.ix[i,'sMCI'] = 0\n", " adni_df.ix[i,'pMCI'] = 0\n", " if mci == 1 and conv_2_ad == 0:\n", " adni_df.ix[i,'diagnosis'] = 'sMCI'\n", " adni_df.ix[i,'sMCI'] = 1\n", " adni_df.ix[i,'pMCI'] = 0\n", " if mci == 1 and conv_2_ad == 1:\n", " adni_df.ix[i,'diagnosis'] = 'pMCI'\n", " adni_df.ix[i,'sMCI'] = 0\n", " adni_df.ix[i,'pMCI'] = 1\n", " if ad == 1:\n", " adni_df.ix[i,'diagnosis'] = 'AD'\n", " adni_df.ix[i,'sMCI'] = 0\n", " adni_df.ix[i,'pMCI'] = 0" ] }, { "cell_type": "code", "execution_count": 88, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# get rid of NaNs \n", "adni_df.dropna(axis=0, how='any', subset=['diagnosis','age_scan','mean_gm','tiv','APOE4_bin','sub1'],inplace=True)" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "# load subtype nifti\n", "sub_img = image.load_img(path_data + '7clus/mean_subtype.nii')" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "n_list = [1,2,3,4,5,6,7]\n", "for n_sub in n_list:\n", " sub_vol = image.index_img(sub_img, n_sub-1)\n", " plotting.plot_stat_map(sub_vol,vmax=0.1,\n", " output_file=path_data + '7clus/mean_subtype_%s.png'%n_sub)" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": true }, "outputs": [], "source": [ "image.index_img?" ] }, { "cell_type": "code", "execution_count": 90, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def get_subtype_results(sub_img, n_sub, adni_df):\n", " print('Running analyses for subtype %s ....'%n_sub)\n", " \n", " # load volume\n", " sub_vol = image.index_img(sub_img, n_sub-1)\n", " plotting.plot_stat_map(sub_vol,display_mode=\"z\",cut_coords=(-43,-31,-21,-10,0,31,42,54,63),vmax=0.1)\n", " plotting.show()\n", "\n", " # weight distributions\n", " sns.set_palette(\"colorblind\",4)\n", " sns.distplot(adni_df[adni_df.CN==1]['sub%s'%n_sub].values,10,label='CN', kde=False)\n", " sns.distplot(adni_df[adni_df.sMCI==1]['sub%s'%n_sub].values,10,label='sMCI', kde=False)\n", " sns.distplot(adni_df[adni_df.pMCI==1]['sub%s'%n_sub].values,10,label='pMCI', kde=False)\n", " sns.distplot(adni_df[adni_df.AD==1]['sub%s'%n_sub].values,10,label='AD', kde=False)\n", " plt.legend(loc='upper right')\n", " plt.ylim(0,120)\n", " plt.ylabel('# subjects')\n", " plt.xlabel('weight')\n", " plt.show()\n", "\n", " ##################### GLM on ADNI dx groups\n", " # full model with dx\n", " print('############################################################')\n", " print('GLM results for effect of diagnosis on subtype weight')\n", " print('############################################################')\n", " f_model = smf.ols('sub%s ~ mean_gm + tiv + age_scan + gender + AD + sMCI + pMCI'%n_sub, data=adni_df).fit()\n", " # reduced model without dx\n", " r_model = smf.ols('sub%s ~ mean_gm + tiv + age_scan + gender'%n_sub, data=adni_df).fit()\n", " # add residuals to dataframe\n", " adni_df['sub%s_resid'%n_sub] = r_model.resid\n", "\n", " # boxplot of weights across ADNI diagnosis\n", " x_order = ['CN','sMCI','pMCI','AD']\n", " sns.boxplot(x=\"diagnosis\", y=\"sub%s_resid\"%n_sub, data=adni_df, fliersize=0, order=x_order)\n", " sns.swarmplot(x=\"diagnosis\",y=\"sub%s_resid\"%n_sub,data=adni_df, color=\"0.25\", size=3, order=x_order)\n", " plt.show()\n", "\n", " # pairwise post hoc ttests\n", " mod = sm.stats.multicomp.MultiComparison(adni_df['sub%s'%n_sub],adni_df['diagnosis'])\n", " pval = mod.allpairtest(stats.ttest_ind, method='bonf')\n", " print(f_model.summary())\n", " print('############################################################')\n", " print('F test on full and reduced model:')\n", " print('############################################################')\n", " print(sm.stats.anova_lm(r_model,f_model,test='F'))\n", " print('############################################################')\n", " print('Pairwise post hoc t-tests between groups')\n", " print('############################################################')\n", " print(mod.tukeyhsd())\n", " print(pval[0])\n", "\n", " ############################# GLM on APOE4 in ADNI\n", " print('############################################################')\n", " print('GLM results for effect of APOE4')\n", " print('############################################################')\n", " f_model = smf.ols('sub%s ~ mean_gm + tiv + age_scan + gender + APOE4_bin'%n_sub, data=adni_df).fit()\n", " # reduced model without dx\n", " r_model = smf.ols('sub%s ~ mean_gm + tiv + age_scan + gender'%n_sub, data=adni_df).fit()\n", " # pairwise post hoc ttests\n", " mod = sm.stats.multicomp.MultiComparison(adni_df['sub%s'%n_sub],adni_df['APOE4_bin'])\n", " pval = mod.allpairtest(stats.ttest_ind, method='bonf')\n", " # plot\n", " sns.boxplot(x=\"APOE4_bin\",y='sub%s_resid'%n_sub,data=adni_df,fliersize=0)\n", " sns.swarmplot(x=\"APOE4_bin\",y=\"sub%s_resid\"%n_sub,data=adni_df,color=\"0.25\",size=3)\n", " plt.show()\n", " print(f_model.summary())\n", " print('############################################################')\n", " print('Pairwise post hoc t-tests between groups')\n", " print('############################################################')\n", " print(mod.tukeyhsd())\n", " print(pval[0])\n", "\n", " ############################# GLM on ADNI AV45\n", " # full model with subtype\n", " print('############################################################')\n", " print('GLM results for effect of subtype weight on amyloid (AV45)')\n", " print('############################################################')\n", " f_model = smf.ols('AV45 ~ sub%s + mean_gm + tiv + age_scan + gender + AD + sMCI + pMCI'%n_sub, data=adni_df).fit()\n", " # reduced model without subtype\n", " r_model = smf.ols('AV45 ~ mean_gm + tiv + age_scan + gender + AD + sMCI + pMCI', data=adni_df).fit()\n", " # plot\n", " adni_df['av45_resid'] = r_model.resid\n", " sns.regplot(x=\"sub%s\"%n_sub,y=\"av45_resid\",data=adni_df)\n", " plt.show()\n", " print(f_model.summary())\n", " print('############################################################')\n", " print('F test on full and reduced model:')\n", " print('############################################################')\n", " print(sm.stats.anova_lm(r_model,f_model,test='F'))\n", " \n", " ############################# GLM on ADNI CSF ABETA\n", " # full model with subtype\n", " print('############################################################')\n", " print('GLM results for effect of subtype weight on amyloid (CSF)')\n", " print('############################################################')\n", " f_model = smf.ols('ABETA ~ sub%s + mean_gm + tiv + age_scan + gender + AD + sMCI + pMCI'%n_sub, data=adni_df).fit()\n", " # reduced model without subtype\n", " r_model = smf.ols('ABETA ~ mean_gm + tiv + age_scan + gender + AD + sMCI + pMCI', data=adni_df).fit()\n", " # plot\n", " adni_df['abeta_resid'] = r_model.resid\n", " sns.regplot(x=\"sub%s\"%n_sub,y=\"abeta_resid\",data=adni_df)\n", " plt.show()\n", " print(f_model.summary())\n", " print('############################################################')\n", " print('F test on full and reduced model:')\n", " print('############################################################')\n", " print(sm.stats.anova_lm(r_model,f_model,test='F'))\n", " \n", " ############################# GLM on ADNI CSF tau\n", " # full model with subtype\n", " print('############################################################')\n", " print('GLM results for effect of subtype weight on tau (CSF)')\n", " print('############################################################')\n", " f_model = smf.ols('TAU ~ sub%s + mean_gm + tiv + age_scan + gender + AD + sMCI + pMCI'%n_sub, data=adni_df).fit()\n", " # reduced model without subtype\n", " r_model = smf.ols('TAU ~ mean_gm + tiv + age_scan + gender + AD + sMCI + pMCI', data=adni_df).fit()\n", " # plot\n", " adni_df['tau_resid'] = r_model.resid\n", " sns.regplot(x=\"sub%s\"%n_sub,y=\"tau_resid\",data=adni_df)\n", " plt.show()\n", " print(f_model.summary())\n", " print('############################################################')\n", " print('F test on full and reduced model:')\n", " print('############################################################')\n", " print(sm.stats.anova_lm(r_model,f_model,test='F'))\n", "\n", " ############################## GLM on MMSE\n", " # full model with subtype\n", " print('############################################################')\n", " print('GLM results for effect of subtype weight on MMSE')\n", " print('############################################################')\n", " f_model = smf.ols('MMSE_bl ~ sub%s + mean_gm + tiv + age_scan + gender '%n_sub, data=adni_df).fit()\n", " r_model = smf.ols('MMSE_bl ~ mean_gm + tiv + age_scan + gender ', data=adni_df).fit()\n", " # plot\n", " adni_df['MMSE_resid'] = r_model.resid\n", " sns.regplot(x='sub%s'%n_sub,y='MMSE_resid',data=adni_df)\n", " plt.show()\n", " print(f_model.summary())\n", " print('############################################################')\n", " print('F test on full and reduced model:')\n", " print('############################################################')\n", " print(sm.stats.anova_lm(r_model,f_model,test='F'))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# subtype 1 " ] }, { "cell_type": "code", "execution_count": 91, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Running analyses for subtype 1 ....\n" ] }, { "data": { "image/png": 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cu8KYNK677jredfXVAKwnr1M2ARuJZ4foOkfc7DqtS5m4HoG4visALfiZIoOU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\nlsvZc1AoFBgc3EJnGCzKy6yV7VeRDR+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v45e//CWLFy/mBz/4AWeddRY/+clPWFgnOCzC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HyaIb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Hj9PXZ4rd1mr/5NXTSXPDhyNBYNxTvFM+BdzpuoAex/cQRbfgP/l8SONsREAZmhpkBJiyPVo1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\nGPpcbT4q8KhF4j8FjNpMTh4GdsDot35KvV7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rA6RmsNU+PENbx59e5/3DPR7zYWBHjETx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\nknqSZcuWISIiAtHR0Xb78ssvm91vw4YNMAwDv/nNb7pgL6knKigowPe//31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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "############################################################\n", "GLM results for effect of diagnosis on subtype weight\n", "############################################################\n" ] }, { "data": { "image/png": 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WLVrEiRMnCA8P5/PPP7fXU7O7mJgYnnzySVQqFRcvXiQxMZHevXvfUlLev39/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\n9uzJ6NGjWbBggXp81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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ " OLS Regression Results \n", "==============================================================================\n", "Dep. Variable: sub1 R-squared: 0.020\n", "Model: OLS Adj. R-squared: 0.015\n", "Method: Least Squares F-statistic: 3.784\n", "Date: Sun, 10 Dec 2017 Prob (F-statistic): 0.000450\n", "Time: 20:09:25 Log-Likelihood: 718.20\n", "No. Observations: 1305 AIC: -1420.\n", "Df Residuals: 1297 BIC: -1379.\n", "Df Model: 7 \n", "Covariance Type: nonrobust \n", "==============================================================================\n", " coef std err t P>|t| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "Intercept -0.1433 0.082 -1.757 0.079 -0.303 0.017\n", "mean_gm 0.2339 0.103 2.261 0.024 0.031 0.437\n", "tiv -5.438e-09 3.21e-08 -0.170 0.865 -6.84e-08 5.75e-08\n", "age_scan 0.0005 0.001 0.866 0.387 -0.001 0.002\n", "gender 0.0026 0.008 0.326 0.745 -0.013 0.018\n", "AD 0.0431 0.012 3.612 0.000 0.020 0.066\n", "sMCI -0.0014 0.010 -0.136 0.891 -0.021 0.018\n", "pMCI 0.0418 0.012 3.581 0.000 0.019 0.065\n", "==============================================================================\n", "Omnibus: 28.418 Durbin-Watson: 1.932\n", "Prob(Omnibus): 0.000 Jarque-Bera (JB): 32.208\n", "Skew: 0.307 Prob(JB): 1.01e-07\n", "Kurtosis: 3.463 Cond. No. 6.06e+07\n", "==============================================================================\n", "\n", "Warnings:\n", "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n", "[2] The condition number is large, 6.06e+07. This might indicate that there are\n", "strong multicollinearity or other numerical problems.\n", "############################################################\n", "F test on full and reduced model:\n", "############################################################\n", " df_resid ssr df_diff ss_diff F Pr(>F)\n", "0 1300.0 25.916996 0.0 NaN NaN NaN\n", "1 1297.0 25.416490 3.0 0.500506 8.513583 0.000013\n", "############################################################\n", "Pairwise post hoc t-tests between groups\n", "############################################################\n", "Multiple Comparison of Means - Tukey HSD,FWER=0.05\n", "=============================================\n", "group1 group2 meandiff lower upper reject\n", "---------------------------------------------\n", " AD CN -0.0337 -0.0625 -0.0049 True \n", " AD pMCI 0.0019 -0.0299 0.0337 False \n", " AD sMCI -0.0362 -0.0648 -0.0075 True \n", " CN pMCI 0.0356 0.0065 0.0647 True \n", " CN sMCI -0.0024 -0.0281 0.0232 False \n", " pMCI sMCI -0.0381 -0.067 -0.0091 True \n", "---------------------------------------------\n", "Test Multiple Comparison ttest_ind \n", "FWER=0.05 method=bonf\n", "alphacSidak=0.01, alphacBonf=0.008\n", "=============================================\n", "group1 group2 stat pval pval_corr reject\n", "---------------------------------------------\n", " AD CN 2.8784 0.0041 0.0248 True \n", " AD pMCI -0.1344 0.8931 1.0 False \n", " AD sMCI 3.0485 0.0024 0.0144 True \n", " CN pMCI -3.3872 0.0007 0.0045 True \n", " CN sMCI 0.2738 0.7843 1.0 False \n", " pMCI sMCI 3.5521 0.0004 0.0025 True \n", "---------------------------------------------\n", "############################################################\n", "GLM results for effect of APOE4\n", "############################################################\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/Users/AngelaTam/anaconda3/lib/python3.5/site-packages/scipy/stats/_distn_infrastructure.py:879: RuntimeWarning: invalid value encountered in greater\n", " return (self.a < x) & (x < self.b)\n", "/Users/AngelaTam/anaconda3/lib/python3.5/site-packages/scipy/stats/_distn_infrastructure.py:879: RuntimeWarning: invalid value encountered in less\n", " return (self.a < x) & (x < self.b)\n", "/Users/AngelaTam/anaconda3/lib/python3.5/site-packages/scipy/stats/_distn_infrastructure.py:1818: RuntimeWarning: invalid value encountered in less_equal\n", " cond2 = cond0 & (x <= self.a)\n" ] }, { "data": { "image/png": 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oioqKKC8vZ+bMmURFRTFt2jQ2bdpE69ateeqpp1Cr1SxYsAAPDw9kWSYkJIS/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\nXHXVVbIJk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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ " OLS Regression Results \n", "==============================================================================\n", "Dep. Variable: sub1 R-squared: 0.005\n", "Model: OLS Adj. R-squared: 0.002\n", "Method: Least Squares F-statistic: 1.400\n", "Date: Sun, 10 Dec 2017 Prob (F-statistic): 0.221\n", "Time: 20:09:28 Log-Likelihood: 708.51\n", "No. Observations: 1305 AIC: -1405.\n", "Df Residuals: 1299 BIC: -1374.\n", "Df Model: 5 \n", "Covariance Type: nonrobust \n", "==============================================================================\n", " coef std err t P>|t| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "Intercept -0.0915 0.081 -1.135 0.257 -0.250 0.067\n", "mean_gm 0.0610 0.096 0.633 0.527 -0.128 0.250\n", "tiv 1.59e-08 3.19e-08 0.499 0.618 -4.67e-08 7.84e-08\n", "age_scan 0.0003 0.001 0.558 0.577 -0.001 0.002\n", "gender 9.454e-05 0.008 0.012 0.991 -0.016 0.016\n", "APOE4_bin 0.0194 0.008 2.463 0.014 0.004 0.035\n", "==============================================================================\n", "Omnibus: 36.731 Durbin-Watson: 1.932\n", "Prob(Omnibus): 0.000 Jarque-Bera (JB): 43.066\n", "Skew: 0.352 Prob(JB): 4.45e-10\n", "Kurtosis: 3.545 Cond. No. 5.65e+07\n", "==============================================================================\n", "\n", "Warnings:\n", "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n", "[2] The condition number is large, 5.65e+07. This might indicate that there are\n", "strong multicollinearity or other numerical problems.\n", "############################################################\n", "Pairwise post hoc t-tests between groups\n", "############################################################\n", "Multiple Comparison of Means - Tukey HSD,FWER=0.05\n", "===========================================\n", "group1 group2 meandiff lower upper reject\n", "-------------------------------------------\n", " 0.0 1.0 0.0188 0.0035 0.0341 True \n", "-------------------------------------------\n", "Test Multiple Comparison ttest_ind \n", "FWER=0.05 method=bonf\n", "alphacSidak=0.05, alphacBonf=0.050\n", "============================================\n", "group1 group2 stat pval pval_corr reject\n", "--------------------------------------------\n", " 0.0 1.0 -2.4118 0.016 0.016 True \n", "--------------------------------------------\n", "############################################################\n", "GLM results for effect of subtype weight on amyloid (AV45)\n", "############################################################\n" ] }, { "data": { "image/png": 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MfvO1G1ou5tSNDVceTSsOX1l8F7jEf2gU+IcFWdUyYSEFe7CbPzFRIBUzGehK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\n/GrlNU/kCpy5KsvhyTwzRa8mxIFCsTQna6neYtCsbirPIX/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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ " OLS Regression Results \n", "==============================================================================\n", "Dep. Variable: AV45 R-squared: 0.294\n", "Model: OLS Adj. R-squared: 0.282\n", "Method: Least Squares F-statistic: 25.58\n", "Date: Sun, 10 Dec 2017 Prob (F-statistic): 4.58e-33\n", "Time: 20:09:29 Log-Likelihood: 117.51\n", "No. Observations: 501 AIC: -217.0\n", "Df Residuals: 492 BIC: -179.1\n", "Df Model: 8 \n", "Covariance Type: nonrobust \n", "==============================================================================\n", " coef std err t P>|t| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "Intercept 0.8556 0.209 4.093 0.000 0.445 1.266\n", "sub1 0.0852 0.068 1.248 0.213 -0.049 0.219\n", "mean_gm -0.1829 0.247 -0.740 0.460 -0.668 0.303\n", "tiv 8.474e-08 7.33e-08 1.156 0.248 -5.93e-08 2.29e-07\n", "age_scan 0.0026 0.001 1.866 0.063 -0.000 0.005\n", "gender -0.0453 0.019 -2.442 0.015 -0.082 -0.009\n", "AD 0.2623 0.027 9.619 0.000 0.209 0.316\n", "sMCI 0.0490 0.021 2.380 0.018 0.009 0.090\n", "pMCI 0.2910 0.030 9.635 0.000 0.232 0.350\n", "==============================================================================\n", "Omnibus: 25.110 Durbin-Watson: 1.917\n", "Prob(Omnibus): 0.000 Jarque-Bera (JB): 28.027\n", "Skew: 0.522 Prob(JB): 8.20e-07\n", "Kurtosis: 3.504 Cond. No. 6.95e+07\n", "==============================================================================\n", "\n", "Warnings:\n", "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n", "[2] The condition number is large, 6.95e+07. This might indicate that there are\n", "strong multicollinearity or other numerical problems.\n", "############################################################\n", "F test on full and reduced model:\n", "############################################################\n", " df_resid ssr df_diff ss_diff F Pr(>F)\n", "0 493.0 18.407777 0.0 NaN NaN NaN\n", "1 492.0 18.349708 1.0 0.058069 1.55698 0.212701\n", "############################################################\n", "GLM results for effect of subtype weight on amyloid (CSF)\n", "############################################################\n" ] }, { "data": { "image/png": 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Xl5IDm3tbes3t0CiO8K7PPM1U3oFIJVgZElOA4/n4LATPfQmZpMl1mzK8cDm3\nUHSYthlIt9avvOSpOIqUUPT8aHeWK3uNH1iHTi1MNJpWaComIoQwgd+WUv6GlPKW4N8HpJTFFR7f\nhqVT0u7VGTQlV2kphZNbOPmFPTGafY6l/OHNZO68cHkeM8haAkHSijUuWiHZ8FZjQKEK7YGx3ihW\n8PItfdx3x3VsG0jiBjUhiSAry5NKbv3Zi3OUXSUMOZCyal6jpcaSMFXv9ZKndi+RnHvZazjueudt\nJZtqNeJxmquDVooNvyilvG2Fx9NxurXYsFOFXNXFZ/HV8VgmyZkgmB2moLZSDNeourpe0VvCVAbj\nhcvzFAPDlbSMKObgeB6eJOg/3tnWrZ0ujovLnOTLXjTRg9qlJC2DpGVw7WCKiWyJkidJmqrx1lyx\nzLnZEgnTYGt/Ets0ahYOfu3FKzhBpnS4+7FNo+kCwEu5EpPzDgMpi5Lnk0mYFdldtfSyVkqXTLOx\nWImK9d8F9gN/C8yH90spH213kKtBtxoR6Iw2VK1JZTxbZktfgs2ZJJdyJSZyZTxfdRbc2pfEthZP\naO2MvVYV+3zZq+mOSZgCgVp5Hxjr5d9/7QeX/XytVHOHFerVBqiRYQolRuaKLmdmCjiBirB6PUbU\n5jdhikgx1/F8XppW7YAtA0zDiFoCFx11bQbTdpQA8aHPHceMiSf6Eq4dVM2wasVF4q9xtuBEi4SE\nKRhM2xXv/VJ92UOFZKESlzENwZa+5fVM0WwcVsKIfLLG3VJK+e5WB7eavOZ7vkd+6av/FgUvLUNg\nmS314up6qo1RmJ0V/n5lvtwRRdd6WWDh85yeynNqqlCR/hp+ugSQtg36klZbTYua6TFfX2q9GBUY\nVsuv/MnXTpMtubi+xDJExfjC5zw/W6TsKk2tUOYkYRrYpmD/aC9HJ3LsGk7Tm7B44XKOouvjBJlc\nRmAgLENEPVFesbUvGoNEMpEt4Qb948f6klH/+VrvTfw1vnA5R9lVbkHXl7xiaz8T2SK5ssdQUHVf\ns69KcI7jk/PB45URcX3JnpEerfSrAVagx7qU8l1LPOH7pZQfbvZ8q4Xnw0SutOh+y1AaQpYpsAPD\nYgqBZQr10xAYhqhxxu6jVtD4vtjtcNKI02oQv1YW2JOnpxlIWdywpY97Du7lrk+pHV88Czxco5iG\n4HU7h9pOEY0nIswWHSayJYqOx+mpAoeOTUQV27WSAUqez1CNgPPvfPEEjqdUe00h8HyYyjvc+9hR\n7jwwFqUGFx0fK4iJSKncTWGcKYxrhbGIguPjxcrCpVR9UFxPYpsqLhRWzYNLwjQQpBYZuGYKAFX8\nS+1gwnjT5kwSu+A0zO4KzxE4w2oYAAAgAElEQVQ+HlSyg+9LTk7OV1zTRmhxRg202B53CX6yg+da\ncVxfUnA9siWXqYLDpVyJi9kiZ2cKnJ7Oc+LKPMcv53jxyjxnpvOcny0wkS0xmSsxU3DIFl0Kjofj\n+XRrY6+QTgTx45k/c0WXS7kyfhBMDlNJvVhFdxwBfP+eYb743te35a571UcP89J0gW+fn+OZC7Oc\nnipEk78hiHSq6iUDJEw1Qc8WHV64nOPZi3OcmymQd/xopyCEwDTU+V64vGBcM0kDT0oKrsQUQaW+\nJHBXCcqu5LpNvdH1rfVZCAPmoPq2h/TYJtmSV7dAsBbx15gw1dh8CWN96rzNvK/hOSxDuRcdX+2c\nDEMsuqaN3pdaemQ6QH/10UqK71Ksj2V7C0iUsXGjlWX91MvQVWabRvTTDn+agqoizVWl3banceI7\ngYlcCYHANJR8Sbiqtg2B70u8IKMpfMWWQVtVzoeOTcSkOsCVBEFoGaXhbutPYZlKp+qL7319zXqQ\nBw+fDPqGOBiBIQhl0j0pMes8d7jz2j2U5sxMEQmM9ljMlTzKHlw/2stH3nIAILq+anQKE5Bi4Vps\nziQi2RhYmPBbqcWI17xM58u4Rclor6rhabaiPDzHvY8d5ehEDt9X75GBQCIrrmm9cel0Yk1IJ41I\ndy/HV5jQ2IQZSdWELrLQP177pxHra9E52q08Dt0V3xmfY3Le4XQQ71AFgyCkEblRemyTvqRJX9Ji\npuBEk7RtwAd+6Lq2JpYHD59krugq16IwMIVKhwVVX7J7qIeBtI2UC0q09SZk5WqTCJTbCpQxUbEQ\nGesPAjds7q2cJBNBxf5ckZmix627FrvlFq5vAUvKSDolbFw13JMgV/KYL7dnyOu5jtpNzgiv06Fj\nE9z1qSP4UolGjmVSi65pLTpV56RdYusfvRNZJTwp8TzZaDMDBNIZhlgUn7GCHU64y2nV2LRaeRyu\nxMuex1TeidRfw5WC44Mvfa4Z7GG24HBhrogvVbe8sb4k2ZK7bJmMU1N5HM/HDhIhTEMgPDUG0xDR\nqj5c0debkJ46O0MpkiiR2AbsHOpRE+V0ASMoKhSoNOiJbIkXLs+zvT+p5EaBgbRNf2qhYj9+neLP\n+f7b9/HIU+cWxTjCHcuDh09ydHwuSgcOlX4bNaY6uHckOmetSvTlVvPfumuoZaHFTogzrkSF/Xpl\nPRvTThqRv+3gua5aIhcaMlK8rUVobKzYDib07y8YnvZ3N6Gu08W5El6dPaZlCKQvI1fPzqEUZU9S\ndn3++K5XVMiftPMF2T3cw6VsKSqYBCWR4nrKny+ljCbpg3tHFgX+7/rUEQyhZN7jOD7Ml1wGemxe\nviXDSG+So+NzzMZ0xrKlHGdmigix2FiF1JoEH3nqHLfuGuSxY5fqaord/ehzDAVGJpw433nLTF29\nsw9/4QSjvTZDPar+I+46Ct+r5Uw+9dydB/eOcNvDT9Q8dydcpNolpljvxrSVFN8U8AvAy4Gomqnb\nU3xf9ervkX/7+JfXehhritJ8MiLDorKRlMGJx3DixmbLB/+FqbyD4y/+fKQtAycILIOa4LcNpAJt\nrsrU2+UUAFbHREC5iHoTBjuG0mRLXkXco1b9RLnKAsZksbAMERXYxR8PKgPs9FSBhCl42eZM03Up\nE9kik/MOu4bTNV9vvcdM5MrYhqAQGDzTEOwaTjOQsnnmwhxJS3D95r7oMY1Sl9up86h2i23rT/J3\nz4zjBanHg2mLhGku6ly5nDqnRq1+29EO6wbaWTA1k76+FnQ8xRf4S+C7wJuA+4F3AMfaG55mNZGg\nMnB8wthvTQREiQAF1yMMYFebEV+q4rbX7RyKfONzJTeqlk+Ygum8AyxvtRnKl9/72DFeuKzqWw9s\n7qlZbf/Ljz5bN/AfTVELbdSBcOfkc/ejzzFfdtk+sFDpPZCy2TkkOT9bYrqOou7R8awKZnsLNR4z\nBQfPl3Vfb61YwuS86vNuBAOUqOyv87NFBlI2Scug6HrMFpxI5DE04EM9dlvXttZkF05Y8ThJKAx5\nKVdmcyZRce7lutI2Wr+SdncUnYovrRWtGJF9UsqfFEK8TUr5iBAiFGHsak5N5XnfP3yHtG2StgzS\nCZOUZajfbZO0XXk7ZZtRX4nwb6kgt3+jI4Gy51P2WNhlsDiMU/J8hAcX5wqkLYOLc2r1bQSyHSXX\nx/EcDh2bWPQFmS06jM8VOT6Z57aHn1hypdbsRFWvfiJ8XSK4IUQQUxEwmA4CHrhM5Dy+eylXUfRn\nmwa37qovPzJbdCsm2jPTRTzfJ91Av6rWxFl0ZeSeFD6RkSsGu5LBtMVE1uPUVD6SXgmNo+P6Udym\n+rnqsdRk9+Dhk7i+ksEHtWv1fJgpuG1PbLWMVidcYt1Euwum9W5MWzEiTvBzRghxIzAO7Or4iDpM\ntuTyT8cuLfs8adsgZQUGJqFuVxogk5S90NgovJ2yTHqi4xcbrfD2SmRlLYf9oxlOT82TK3kUHL+i\n1sEWsKU/SdmVzBYd5orhR0MQJqcNpi1++/EX2NKX5HKuRE/Ql/38TBGQpEyD87MFfvnvnuWPftzn\nLQe2LKu4Mz4hJUyDguvh+wvuq9CQhIZlc+/CzOu4PoWyF8WVyq7P6akCo702v/fWlwOLJ8Er8yVG\ne20u5cqUXV+lNQfnK5Q9ZotO5N6LTwi1Jk5YkKG3hMCRC/Iqqh7EZLgnwUSuHAT/lcFxPNXQa7Bn\n4bU0M/ksNdmdmsqTsgxcfyEWFRZXtjOx1TdaN/LQXTdumH4l7e4o1rsxbcWIfEwIMQR8APhHIAP8\n5oqMqoOM9ia4/aZtFBwv+OdHt/OORymYQPKO6q9dD/U4n+mCU/eY5ZAwjYWdj22QtkzSiWD3ZJvB\nDsmoMFhxY9QTHFNxO9h5pS2z5VqVX3jdtdz/+HHG+qyoAdO52SJDaYvR3mTFsbMFh4Rl4Hhq9TrS\nmySTMDk/W+C+O67j/sePkysVuZRzoslxMGViGwau8Hjg8ye4fnNflB1VnZ1mGgv3mQY106HjacwX\nZwuqP4ihajXKwdsaPncmYbBtMB099mK2RMo22NafitxFCVOwOaMm51d99EscnchFYorHL+c4N1sK\nFIpV/UocD3hxMs/ukXQkvBhOCNWNujJJk829NlOFYFdjCtyg1wrAeLbE+96whw9/4QRJU2AaC/XB\nUnqUPBmlDYdijFP5csNdXqPJ7tCxCWYKDgVHKQuHig5KdVm0NbHVar41kLKi2p71ajSqaXdHsd6b\nf7USWN8tpTy11H3dRiuBdc+XFN1KQ1N0lLRF0VGGphDdXjiuGBkir+Lx8ceG961VMY0pBClbTbwl\n148CptcOptjal1LGJm54bJMLswWOnJ1ltugw0ptgPFtkJJ2IKrwNoVb3p6byXDOQoif25Sk4Hpsy\nSf7iZ1/NQ189xZ89+VLkgjEAw4Ct/SkyCZO5kssXmgwgfvnkJB//+lnOzRa4ZiDNe753B7ft34Qp\nBIahjNBPPnKEF6/MM11wKFbN8OEUvLU/wVhfirzjcWIyz86hVMy9VRm4Hs8qQUUhRFR4WiFtwkK4\nRSnxqkk3EbjD4hNCrUSDmYJD0fEoe1K9N1LtTHYNpSOxzLOzBQyoMCKer3qdfN/uYY6OZ5ktulFW\nV6MgeyTA6CvdrjDGsjmTwBAGZc/jUq6s0tL9BWXh99++j/vuuL6p9ynO2Af/mZmCi0BE9TgSyVDa\nYvy339zy+bqVQ8cm+JW/e3ZRosMf/NjLedPLNgMLag7hpyc+/8b/tnBbRp02ZbBDlXLhcXLR42LH\nhI8Nbvty8Xmj564ajwSu39zXcQHGb0kpX1N13zellN/T1Ak6iBDizcAfohaafy6l/Ei9Y7spO0tK\nGektFQOjEt12PQrlwNgEt6OdUsUOyo/tqmK/ux6Fsh913FsLQldLuOO5ZiDF5kyS5y/ncD1fdf0L\njpNS7Sj6U6pX+3/+/t1B/GnB/ddTFb/66qkr3P/4cRKmiHZHZU9y3x37+YG9o9E4bnv4CQaSFi9N\nK2mT+BVJmCo1OFTNhaDmJGWxqTcJQrlAJ+aKFNyFxAIBWLFdh2WAU2PjmjCFiiNJyfaBFH/yE6+s\ncoPVFsNUO7gET56eVtlu/akotXi+7HJmulLqJWroFSgi18v6iqsGxwsUa2W9IWAso4xrGMQvOj69\nSZNPv+M1ba+Mhz5wiHzZq2hB7Pqq/ue1Owaja/O//8Be3hxMthCf2IjdJyvuCyfO8L74YxoeGz+u\n1n00npAXjlmYoH0po0XO+dkC2wfS/MLrrq34bC5F9SKp1cd3ko4ZESHEy1Bpvf8duCf2p37gHinl\ny5cz0FYJGmS9APwQcA54CvgZKeXRWsd3kxFZDcrewi4o7rb7xplp/vSJM5RcH9sU9CRMEqZB2fVJ\n2SZv2DNMwfWDXZPadcV3UKGMuVsj5Xe1CKVOwonUCLo2piyDW64djNx/X3lxiqLjMVdyqR6uHUz+\nBrBtIEnaMpgpOlyZd+lPBavHJhoL2oba+TiuJLQlZrTKVmPd1m8jhKmMnm1QdHxOTRWwzaDRlWUw\n2psgk7CYLTp89e7v4/se+iqDqaq0VyTjc0VAMF9eUBzuTVj8wY+9nNv2b+K1f/ivDKWs6HFzRZfz\nswV8CTeMZSgEr+uBO6/ntv2beOOffo3TUwVcX5KwDDb1JDg3WyRhCfaOZCpWpuHY1FjC+xfGFv5e\na3UNcOsffZXZghNoc6lr5Aay+ruH0w0XBFcTXz452dQiabVo1og0ExO5HvgRYBD40dj9WeCX2hve\nsngtcEJK+SKAEOIzwNuAmkbkaiNhGiRMg1i2Kl8+Ocn/+PdxXM8nYaov+3zJo3/AYrRHped+6M6X\nNXX+L524zJ//m1ppbe5L8rYbt3Djlj7y5dC1V71b8nn0mYvMl10MISh5fhSINgQMpm3mS17UOjc+\nGVUTrvz8aJJSP0uuz+ePTzY1/nD34APnZivVnWeKzbel9XxJT8IibcFMUeVNVxdlTmQdBtOS3kQS\nKVWatcqsgpSlAuMXZksM93gMphP89F9+k0u5MpPzZfoSFnMll1Jw0pQl+KXv3cnjz1/m1FQeT8JI\nr03eUSKi2/tTXM6Vosywy4FydSrobpm0THzp8dDXTvPanUPMlTx2D/dUGKuEZQQ94hdeSMHx2D6Q\njuRm2mHfaG+UpFEO4mbhbjAcr/rp8fGvn123K/fl8vGvnyVhLv+arDZLGhEp5T8A/yCEuFVK+eQq\njGkptgNnY7+fA14XP0AI8R7gPQDbr7129UbWpYQfzqRlUPYCVw6SK7kyVl+S7QPppU8S8IP7NvGD\n+zYBC1/gj3/9TPQF/uEaLo9XbeurucL68Vds4e+fHWcwtRC8L7k+73/jPr7nmkEKwW4odPl96HMv\nMF1wlNBjYEzKntpJ3b5vNNpJ5R2Pi3NFTk8V6mqZLRcf1ce+HhLl+prMu0zmFx8XpvUCXMo5TOVV\nV0jLEGoX6DqLjn/oq6dJWYKRHlU7Ml/yuO+fn+fXDjq84zXb+J0vqgr2VGAMAEYyC3GelKUy4gCu\nGUhXGB2AvqSp1K0dr+J9+oXXXbusybpWksZL0wW2xDLkqsfXDPGV+0DS4nKuxP2PH+e+O+jqSbce\n52YLDCQrp+RWr8la0Ep21hUhxBeAMSnljUKIVwJvlVL+txUaWz1qpRhVrAGllB8DPgbKnbUag1pt\nWvlShx/Okd4EF+eKeD4YQlJ0ZTRJtPP8zX6Bf2DvKPfdwSJf8ce/fhbH85jOqxVq2K/jV//hKK/e\nPhCNK3ydmYRFvuTiSonnK2PYm7D47TddV3HcNQNpfvUH9vADe0f58slJfvfwSU5NqS/irqE082WX\nC3PlRTsey1BBcTdQIq7GFNCTMNk70supqXzgWmr50kXEn8LxZU11gOrjC66kkC1X3P9r/993o9si\n/C/Y6V3KlpkUZYRQsaC0bfKbh75LJmlydKIcdGY08Hzl1/+h6zZxcnKey/NlxvqSvOumbUwXHP7w\nK6dImoL+hNnyZF3r/bdNETXuCim6fksLmvW6cofa399ahr3Va7IWtBJY/zIqJvJnUspXB/c9J6W8\ncQXHV2sctwK/JaV8U/D7+wHqNcTaiDGRVn2nP/fpb0cfzmzJ5cp8mZLrk06Y/O5bb4gm21ZWmvFz\nhsQzsprh1j/6V7JFF1ATXDyRKmWJoHugwUDawvV8xudKUbquASQsQSZp8Y7XbOfRZ8axg9jDlfky\n0wWXvqTFvtHe6LWEr/GpszOLYiWgsjS2D6W4OFuqGI8llOvINs2Ka/xzn/42R87OYJuCkisrjIIl\nVK3MbNFlLJPEMgXnZ4s4vvqbRBmshKV2HkNpGz/oDTJXdLtaEjvMyrNMg11D6YpaqYXaJyNIOa/M\n+Etb6v4XLuf4i0BUMh3skF1ffYYPBjvdpQgTKKplU1rJ9lsL6n1/w535RoyJhPRIKb9RVWvQQERj\nxXgK2C+E2A2cB94O/OwajGNJVCA4TIUVCLEQHFZ/D+6r+j3+2IXbC/f/xZFzqh4kYQIC2zLJl13+\n8sg5fupV24PnWXi+X//BvfzqPx7F8X2G0zYpW6WN/sHbVOrhv3z3Ev/n50+QsASbehNMF8p8+PMn\nGMskefPLlHsq/vwA49niIt2jhCmYyBbZO9K76DpUnCO44Ut12zKMQGZlgbKn0q0FHknLYHLeiSZ1\n1RPE4JpB1eP8kSPn2NKXjHSzpgvqY1lyPWaC13J+thhNWvUW/B7KfXDNYFIVRYbHCRjtTXLfHdfx\nxus2RRk9F+aKJC0lLW8JcGLndSXMlTzufNlmJnJlFUPKJLg4Vw7SgJU7ruBItvbZJC0rMsinvTzz\nsdSvWtIzSTO8hkp2fv9ohntv31eRXv7MxVn+9cUpZgoOlmGQd7xAVl+JfHq+Si4oezKQXvGj52q0\nKQr/5rk+zwdyNJ3if/sfz1UZocAoWarIN7ydsg18Hy7MlYJukSrRwvV8BntUlls8yy9UnuiGwt56\nO6hvnJnhvjv2Lyu7ay1oxYhMCiH2EnyehRD/Ebi4IqNqgJTSFULcjZJcMYFPSCm/U+94wyDIdolP\nZsHkXOs+Kid1WDyBiiCNteL32KRtCBEdsxKcm108gfclLc7NFiuaHoX8+Cu3kbLNusVMf/jVU6Rs\nI0oP7UsazAuXP/jXU7z1xq01x7BnpLdmYdXukd6aX9JashdJ02BeeviyMmcdKtMyL86VsEyxcF/g\nqpnIltg/2ku25LFnWH0hQ90skMyXVTaUZQg+evhFhtIWk3ON1z0py+TUVAHXh4QB1w6qWo2C49OX\nVH1BQvaN9iKl5FLOwTQFvutHEjEpy2C01+a58RwP3XUjb7p+M7f96RNAjtniQtFdf8rCNAzOzxaj\n2p2EJSg4RFlfteZz35cIQwCCsb4Es0WH1+4Yqjjmx16xJdp9ffv8LIaA4d4EfcF7VnA8bNPA8Ty2\n9ycr4lL/9Y37uGXHEEXH5+5Hn+XKfJmEaUS7pZLr0Zu0ePurt6ssPtfn+OUcz1zIkiu7pCyTLf1J\n0rZZEdcKswWrXVnR+476HKlK/vYKey/NO/z8Z56u+/ekZUQ7ourd00Jhb2B0YgW/KuW8vupEaPgS\nZuOGsY1iHz+wd7TrjUY1rbiz9qDiDK8HpoFTwDuklC+t3PCWz8033yyPHDmy1sPoKJ1W/WxHTbUV\ndd56x2aSJlP5MrNFl2yV7n2YCgqVhj2UhVeyHJI9Iz2MZ0vRTuTZi3OA2skYQqXilr0FV1MtX3yc\ngaSJ48ugmFB1+tsxmMYyxaLrG++5MlNwmC+r7Ktt/Um29qv0uHgNyFdenCJtCbb0LygezxTKvDRd\nZEtfQhUduj6WYfATr9zC105NcXq6WPOaACRN2DaQpuh4zDse/UmLawbT/NLrdvD9e0Y4HHObnJ0J\ng7OCrQNJ+hIWUkpOXFGFoo3cks24T1t1sbq+H0tDX8jsi2f5hbcLbmXKeiFmjCayJc7Pqn7xhlAG\nQiUHrExCRTNYhlhQlKghj/TvF2Ypez62YUR1VZ7v05+yee9/2FWhNFGpWqHUKJKrpOXXcXdWkFL7\nRiFEL2BIKbPLGaCmfVrV2llKnroduYZWpBrqaTWBJGGabB+wOHVlvqJ/SvXaxpcEWVlSFfPFepy/\n7w17eOSpc4S6WfNlTwkaikoDAqo+oZZ7KGS2pB6btpX4oOerlaNlGJyoEo2svgbuXIntA8mKynfH\n8zkxmWffaE/g+/c5M11kx5BSCr44VyJhCsb6Uoz1LRieZy/OsXtE9W6fyque8T0J1Tlyct4BZLCL\n8Lk877ClL8HmjFIRfuDzJ3jorhSf/tZ5ehMGPQmLS7kSZVe5vqbmywymbPLl8LWaUeAdFmcE1UuM\niBuHVoPclmGQSRpkkq04Q5rHDwp7C45HvhyoStSUPvIpxRQowl1VwQmKf+soWBQcr67Lz/UluZJH\nrlFDIKBa2nSq4PLr/3NpYfTwPYsLxi5IJcXdf2o31RMzQOHuq6f6sXb7Lr+m30EhxAjwQeD7ACmE\n+Cpwv5TyStPPpukIrUzgzchTtysA16zC7qmpPCbwwmxOiTkGk1UopXH45BWm80rzyfUXJnhTKKHE\nqYJDyZPYpmAk6nEuox7ndx4Y45ZrB6O+47myh22oL3NY+FdZWdIYCUFHRRPXC11UHgZw/HKuoonU\nqak8/UFb4IuUuDhXUo2sgp1GaCR6ExZb+pJBnxNVPKh6vfvsHKzMvnFcnxOTBfaNSq4ZSDOdzyKE\nYKwvyUDKpidhMj5XpOj65MoeW/oSkQGKiymeni5EO8wtfamox0rJVTpxvhRcv7mXsifpDSZ/KSW5\nssuekV629CVVgzRP8iM3bOHOl43hBW2gq5URui091RAimhhXQgxXSonjyQVZowrpI3+RNFLcgBUd\nj9PTeY5fzpN3XGzDYKjHxjTEqrn8liJse90MrSwDPgN8BfiJ4Pd3AJ8F1mf3mHVOsxN4M/LUy+3B\nvlQDnv6kybEJFYCNV7ybvs8jT52LXGCHjk1w72PHArFDwda+JLZlkE5YvPOWa/i7Zy5GfUVuGFsw\nINXX41Uf/RInJvNRAWM7uD4gFmIcAjBNwaWcQ3/K58NfOMGu4TQmcGxiHglkbMFsSe08UpZgtDdR\nYSQG0jY7UKKKRddna3+KhCkWNc66mC2RMA1cT3J8dj66ZmF/kYGUjWUo91oopjhbdCIdrLCfyw1b\n+qIdZvjcF+aKCKkeGy4SqhcQrgf33raP/tTi+FrFNfL8QF8rcCvOleixjUg1OV/2uGYw3XDn1200\nm6Uogsy6hGVAjThkJwhdfvmqHVCxwjhVGqmFHVcdeaTQkAU7rHqUWshdbyUmskgnSwhxpBmf2Vqy\nEWMirbBS3eNaiYm86qOHee5iluqPZdo22DmUrhlrqDZoQCz+oALTpiFqigKGYzs3k49SguMkTVU1\nXu+TL1B6Wr6/IGmStIygR4lq/2sagldu6+eFyznKrsSXPm4gVhjahKRlsKXPJmVbdeNXta7jick8\noz0WU4FooS/9qNJ+b0wZ+KG7buTex47x/KUcpVgMSKJW4j/xyi383TPjlF0/iinVElKMX+++pMr4\nmyu5LbXbXerz4Ae7Fy+IN1XeZvH9a6AB122yIyuNLyXFwKDkY7p9oZF6z627Op7i+yUhxNuBvwl+\n/4/AY+0MXrN6rFTDm1Ya8IxnixgGVG8Myq5fs99CfFcRTnBPnp5WtRu+jFr9elLy4S+c4JZrByue\nM9xZ/eRffJNy2YsmVx9wPIkfdD30fFnTkNgGqrdJ4BeWkkg80BAqa6on2O6HDbCcwA2XsExAjXPX\ncJpS0Jukus1sXBq+eheYMA1OTM4H3RkFJiq+4Ek4P1uKlIFBZaiFOxlfEsmkWAb8zdMX6E9ZgZSJ\nem1DSZNHnjpXcc3C672cXt+1JO7f94Y9AHX7tC+Fcp35uEENSfjP8fzott9BY7OeixfbwRBKQ68n\nsTyX35JGRAiRZUFT7ldRbXJBpdfmUHESzRpTz7W0Ug1vWmnAU47UZ1Uqr4hlGTUyaPc//jwf/sIJ\nNZHEDJApJcIwsITq/vezf/WtRUq1dx4YY1MmwRYBl3KquDJlGewYTOBL5WqZyjv4qHqJEEPANYM9\nUbOk45dzShY9aNDkBYH9wbT66iQDqXZfLqSAK60qFfQ+OxPPvPKYnJe8//adi4xe/PdDxyZ46yee\nqlDYFcJg91CSXEmlKP/yo88yU3DIJMxgXJXXLjSQ82WPhGkEqsUq2JzoFTWN/XJaGR86NsEjT6l6\nnZ5h9Tn7k6+dRgT6aK0aJSDoI2PSKPYuZfXORr1HytWmXEJRHKfOoiGk2+I664VmtLP6wttCiGFg\nP5Cq/wjNarPUCnIlGt60ssMJ60FMQyj11tg3uZ5BO3Rsgg9/4QR+0JfDlwuraVdKLFTwWwK5ksue\nYDzx1x2O8bpNmei8oSsJVJB8tuhWBPv7UlaFS+7uR59jcyZR4UL7mdds5cnTM8yXXTb3JjgzU1QV\n3AZRHcVYX5ILs8WamVeHT17hlgbxpDsPjHHDWIYTkyoeEnYyPHWlEI17cybJuZkC+bKHbQr8oBIz\nlI4JL7HS6JIkhBG1Lq5n7JfT67uWATozrcYbyna0YpSaRQTNy5p1qfixxIDQhRYamJ1DPUxki6Rt\nCwK59/UgO1KL1RSmbCU76xeB/wJcAzwNfC/wBHD7ioxM0zRLrSCbDcK3Qq0dznTeIWEa7H7g8/Qn\n1RdxruRR8nwG0sqtUpD1J+zq1xSm8YLANhdEBUMlX9dXxaRhimr1615qF3b3o8+xfcDC8XwuzpUo\nez47BhfWR40McDyOcGCsl7miy7nZIoaA7QPJuplXPbbJ0fG5yOibAr7+0jRv/cQ3uGEsw0feckN0\nbNmTGEgcX73e0DCMZ8tRqmbJ9RFBPYu6OIvfK4lyHVqBr7+esV+O67OWAXJ9uUgWvlmjtFIYhiBR\nJ331A2/cz92PPofrK2fpmSgAACAASURBVEM7X3aREv7r7fvY3p+KDE9odNSOJ/i5hi0SqlltYcpW\nYiL/BbgF+Dcp5Q8GfUZ+u+Mj0rTMclaQ7VI9wfYlTcqez4nJ+UXd+TIJk/FsmS19CfaPNu66F39N\nyiUkMYWKSdiGwAlcEuEuxPchk1golIu/7qV2YQ/dBfc+dowTk3kSpmDnYJqyJ3nXZ55mrC/ZMLhc\nyzDHDUutzKvZgsOFIDU3W1LNoibnHbXTEIITk3ne9ZmnKQcNvKSUlGMFlyGur7oubh9I8dJUAVfK\nSLlXVh0boq6ZZCxj1d39teL6rHaf9ict8o5XYYDCBUCcTsTjVorl7NplzMAsit1EMR1/VbLUVju2\n04oRKUopi0IIhBBJKeV3hRCt98rUdJyVCp4vRWVa7WGyJaXNFE5knoQL2RI3jCmPaK7sYRecpr6c\nu4d7cD2/Ih4hhHIZhSmjhgRhwOV5h+mCo3qCG6qeoplg7lNnZzg6kYtWzPmyR68QTOUdsiWXl23O\ntBxcro5thJOy4/qcmSlGmVOeLyM5F0OotFjXl8wENTEpyyBpGeTDtCyhRCfDhX3R8RlI2Yz1qWZh\nSVMwW4RM0gyKEWuzf1Om7vWIB8ezJY++IDjeSIEgdJ9O550oAyw0QH1JCyGIesB3Kh63kiy1a68X\ne4zcambdhwL1kwXi9y03M221YzutGJFzQohB4P8FPieEmAYurMioNC2xUsHzVnjh8jxmIIIX/w4U\ng0lwcyaJ3UJacfiaquMR2/qTpGxTiS0Wnag7n+crAciSq/SyLsyqCftStsS7PvM0n3z7TRWTw/2P\nP8+HPnd8oWe6hIu5MomCEwkU1nKRhTRTIxNf2T55ehrbFGwbSKmMKlciUatX21gIxodVzkaVrIUM\nKvadmFtLSaqYfPodr4pcbD/7V9+qeT0FMJC2GsrixIPje4LgeHUmF9Rzn6rrP9KbjFbxv/fWl0fH\ndzIet1YsJ3stpNlkgci4eIGBqdrdNEoSyCRMXpzK4/kyktyxDLFisZ2myxKllD8upZyRUv4W8JvA\nx4EfW5FRaVpCTVY3srU/xXTBYWt/qqGraKWpFqwEuJQrMV1w2P3A57nt4Sc4dGyi4TnC17R/U4ZN\nmQTft2eYR3/+ZhCqDgGUbIhtimhnkrCMMCtXNd8SSrZkKu9w72OVjS9//ysvEmbxKtHMhcdBZcVu\ntWswnEwuzhUrJpNGr8nxVYYaEsYySSRKfsWXYSaVZCyTXHTd4piGiqEIlAZY9ft854ExEmbtR0tU\ngkMj7n3sKOPZIi9eyXN8ch7XkyQslckV59RUPnoP4tcoW/K45+Bedg33cGoqHz3ui+99PS/+xhu5\n5+BeHjx8sunPQLcRN57hAqPW9VkuQqgYYNo26UtZDPUk2JRRemw7hnrYM9LL/k0Z9gz3sGMwzbb+\nFJszSYbTNk+dmWYq7+AE8j5lz+fCbJHZottW36BmaEu4Rkr55U4PRLM8ViJ43grXbepRVem+xBKC\ncrAdSZowkS1GMZFWVnC1XtPu4ZMVrju12lKVw9dtyvCtc7PRsb5ULWl9Cc+N5zh0bCI632zBrUg1\nju+evCC7KqTaNdhsKmx85Zq2VKD9zEyBHYNpdgymOTtToORJTAO29qWUO8RYMCyGUBLzrgzdg6of\nel/SWrSzCndGl+u4sgRww5a+ivviu6n+pMlz4zlsQyjNMVdyZqbAtQOpRbG1eu7TvqRZd6UOLHsV\nv9asReyxEZZpLHKfffwbZxnpTTCQtpnIlig6XrDgSPLTN20PdjOddZ+tjPqZ5qrjI2+5gXd95mmy\nJdXtL2mquoTBdKKhvlOrE0i1684yRBAwTi46thwrAPEl3PWpIwykLMb6EtF91ZIcBjDaq2RFlMx7\nicl5pesVii82M5mErqVcySVtm/Sn7Eg4cTxb4prBFEM9NinLYDxb5vxcies29fCBH7qOP/na6eA6\nKqPRawh2DveQLbk1M8S+Mz7HXNFjtNdW4pQ1rpshqHBvVrtmvnspp1oOo4L8pgDPVxIsr9tZKTFf\nz32aMI26xhVouwalW1ir2GMrhJ/NuH5bqFBRT8amnvusWbQR0XSEOw+M8cm331TT/x1Kr8Spt4Jb\nKtZQnUGzb7RXrbhcj/FLpQqhxbhjR7mOJPNllxOTbmQ8qr8qH3zTddxy7SD3PnaMb5+fi/5envd5\n5sIsdz/6XM1MpPhkEk7Q8yUP2xAUHaXoGrrM8p4qAJQSUrbJDWMZ8o5HruRzy7WDda9j9XUKZWCu\nzDtRNbttCgxYJN6XqnI/Ve+mlBKAUjk2hQzGKil7LIqt1cti+uVHn637PkvoqlV8O3RD7HEp2jF0\nyn0msE2gDRmwprWz1isbVTur1mQLNCWIuNo02/+kFT2uOPHKdlMQ1FWov4XGwhIqZhJKgNT61BsC\nPnjHdfzdMxd59mK25jGhTHx/ymIwbdccZ/h6z88WKZS9ira/YfwlTF9O2QZjmSQDabulnjC3PfxE\nUE3vqP70sb+Zhqo4dKUKdksJY30JEqYZjbFaU01pgKnU7LStrpNlCPaN9vLvv3ZwyfGEY6r3PgMV\nf5stOlyYLeJLIhmXbvisLkUtXbduGne736FaBHqJS2pnaSOyDqn1QQlTLOtNbN023lpja6XZVtyI\nXsqWIiE/GVSMh5/qvqRJPpD+cP0FIcM4CUME/TR8jKBRUL6BwqllwEhPgrG+ZORiOrh3JJKGH58r\nsb0/iRCCE1fqr7TTlsD1iarS07ZJb8Jg/LffvOQ13f3A55nMlXB95baLf41T9oKx7EuakYR8/FpW\nX+vZgsNL0wVsU/CyzZm2Pj+N3mdYiIk4ns9L06rKf8dgCtsyuuazuhHolKFr1ohod9Y6ZKUkJpqV\ndm+VZou4mg1cxierYtldNOELVGzDBwZSFlKqibaeunXZlyRMMAxlaKrTa6uxTYNsyWWq4NCbMJk4\nPcWXT16JmgX5vqoJ2Tm0WAY9lCUBFTAPe55IgjEWZUUCQD12D/dwdrqwqB+6QBViGkKwezi1qEHW\nk6enA0UBk5mCCsL32CaWKRjuUb1Kjk7kAJUs0QrNFHeG6c4JU7CtPxVr57y+4iPdzGon2Wgjsg5Z\nCYmJZnPg2zU0zXywm/XnhkbU9SQTucXZSOGkLFDpvX1JE7coaSS/N9KjAt+poPVo2avflU7FG5Ts\nSrboVogfljwfiZKRvzC30NpWoNxp5cCSCVT8IbytDIFgtNduajI9uHeEL524Ej0+HIIQkEla7BhM\nVyQWzBYdXppWWl7DaZu84yElJEyD6aAA9GdevZ1HnjrHruF0tJNo9TPQ6H0O/1arPcF6i49oFtBG\npAOs1Aq+HrUm2+VKTDSTttqJYquQ6mt2cO8IV+bLkQRJ2JCq7EoO7h2pqED/zvgc1wykOT4731BG\nwhRqdf/Jt6sd+Q//+TfqHjtbdDENwWDaJmWb5Mv5Rcq44TktQ1ByF7fZFRAUDxpYllAV9EFPd8sM\najyCnUjKMnACKXM/kIjZMZSiP2k1NZkePnmFkR5Ltc5lod7FNg0+/Y7XAJXNpi7MKvfRtv5UrIgS\nRnoTUczjtoefWJXPwHrIctI0T/M9EDU1aafwbLncc3AvZVcGAnHqZ1/Soj9lVdzXSuZIvQKy+ITW\nqWKrQ8cmePdnn+brL01zfqbAE6emuP/xF5jKl9k5pIKwL80USJiCd95yDY88da7i+s4VPS7lVBe/\ncPKsRqDy6BOm0dT4fAnvv30fCVOlDe8aThPvECqAkR4LFbNWexrLqKwvCV1LJc+nGOw4DmzuZSht\nYRsi0MNSxzqekigP04w3ZxIMpOyGk+mhYxPc9vAT7H7g8zx5eprBlM3ekR76kmrMadtkIGVGK/54\nAaovVfxhILaDrX5/V+szUOvz221ZTprm0UZkmaxWFWucWhXqn3z7TXzip29qu2p993BP0LN5geoJ\nrZlJphnufewYk/NqYrNNtSL3JFzJOwymExwY62PfaC8jvUkOn7yy6PqO9irXk2WodNZau5GwaG9r\nv5LhePDwSZJ1qrmTpuDWXUPcd8f10XX1JXz/nhH+6Rdfi/zdH+WxX3wtr9w2gGmo3hwpS2leNQqf\nDKUtyp6qnxjrU4H2tG0wmDRUEgAL2VqT8w4T/3975x4j113d8c+589yXd9ePrB07jhNwih0IFEwo\nIEp4KQlIUAItr1IioiIBEVJRkKBU5VXEI5S0KilqCghaQBRoKiJCSJqASyUSIAICid0kDiSxHXtj\nJ7ubfc1j557+8bt3fGd2Hndn57W75yOt7Jm5e/c3v9n9nd/vPL5nNtdQ8DBqeAtLPg8HcbALtg3z\nrB2b2DWWZf/2TeXvuXzfRLla/IV7xklV9c2u/nzb9TsQNXa1KtP7TWHBWB3mzlolvapired7bvUP\nMU4OfCtuiFquvqjOFlSKCoY0qi84azjjCgxH0q4fu7igeC4Sb0gGEh+PTC0ynEkyf/Ipdo1meXhq\ncZmbamwgtcxldv0Vz6rZOCpan/H4XKGuRIknTnByKJNkNr/EqfkC2aTH2ZuyTM65HuoS1GKkEh65\nos9coVTWwaomNLxJz0liIK7y+Oj0IpuyyaY1C5c8bQufuuNI3Q6L0J7fgbjurl4rLBjtw04iqyTO\n7m0tEGd3+IFLnsbUQpHDk7P89sRTHJ6cZWqhuGzhCneiEx/5IVd89W4ePDVXsaBUyyzU2s2Hc1hv\nfvdvH+Gea17GTe+8mBefv4UdmzJctGOEieE0O0czrs9DoFc1nE7wVM71NTlv8yADSY8wgjSY8njP\ni/eUXWYJwv4ev+DZnztYdxe9d9sw4wNJRrJuMQ1jJYJrr5tNeiwWfR6dypXdViXfSYksFv2ybpev\n4UlihPGBVM2iwpd/8af85sSs09gKAvChAc6X1BnShNTdzYfCiluHUmSSEnRYLPKO5++qUcjZ/Heg\nkSuqFydzo7fYSWSVrIUq1rjE2R2GC77LBJNlBuCWw5Nl+ZPF4GRxfCbPEwvFcpMpUdfnnLBrnziJ\nlJTn7lureVS9+a0ec1SdNyFw1tAZuZXT80X2bE6yb6KyDiKa7XV0Jud6mwscOT0faxf97M/9mCOn\nF1yGnAC4oLqq4nmCqpAQpwqMgqqPr87ghEKPtTYe0V19GMTPl3ykVOnCK/nKA6cW+MXR6Qo5lPBU\n9cR8gXRSGB9c3mHxb1f4O9Asjbff9KWMztN3JxER+aiIHBeRXwdfr4689iEROSIi94vIpb0cZ8hG\n8u9ee/AhxgZS7JsY4aKzR9k3McLYQKpil/nBmw/x5EKRkn8m1VaBxaIfCPv5FHynalv0fYq+kkoI\no5kEz5gYWTaHK5nfcMcNykBSSHoeTywWeWxmkelFV9l9cjbP8ZlcxX1CP//kXN4ZEM995Zd8Ts7m\nuOKrd9dVnf34bffzf4/Ps1D0KQatf4uBZDeEQXjlrOF0kMbrln8/0Cs6azhdN7Ac3dVnkmesdXUM\nyAlJKp+64wgfv+3+ZYkehybnyuMJWc3Cfvm+iWVqveHcrJeTuRGffj2JXKeqn4s+ISL7gTcDFwJn\nA7eLyAWqWj+hv0tsFP9unF3mA6cWyj3BPb+yEK7ka4UECOqUaUkImZTre/Dp1+yr2ZcjzvyGi+5A\nKuE6IgadEE/OFkglXBX19pFMecEO7xn6+fNLztCBy54KXVC+ak3fftgHHpy8SLGkTsAQp1UVKvGG\nRXVDGSf1ISJBIZ8wm3dV5M2KL3eNDXDk9PJFX3A1QtmkR6Hkc91Pfsf2kUxFmm46IZx4Kl9ReLia\nhb1R3KMfT+bdTsHfaPTdSaQBrwO+pap5Vf09cAS4uMdj6muaZcmslJXuMlNe5a9XMWJRBEgkXBfE\nkq/sGh1YdXp0eKKYGMk4RdqgB3b4U7ePuFhJ9eki9PMnPQnqNlwhYTLh5FDCJljVvv1rDz7Eku80\nppKe6/+QSXgMpBOcNZzmxisPsD2QeFd1998+kuXGKw9wzzUv455rLmnYZyM636PZVDnmEiWsO/GD\n2pPZfGlZ9tSOkQyFkt+2lNpGcY9+O5n3IgV/o9GvRuRqEfmNiHxFREId6p3A0cg1x4LnjBp04o8n\nTn7/BduGKAULeMI7U8NRUVWNW/xKgVEplHTZYlTLADYziuGiO5pNsXs8SyowUgmB3WNODubR6UWn\ns+X75TkB+MIVz+TpWwcpqZ45SeEW57C3SK26imzSqzhteQL5JZ89mwdjLaiNPqfq+U4nhKQn7BhO\nl+c11Alb8pWxgZTTCqsy9Kmkx/6J4bYt7M3SfKOpxT9694t6uuu3QH/n6YkAo4jcDmyv8dKHgbuA\n07i/jU8AO1T1nSJyPXCnqn49uMeXgR+o6n/WuP+7gHcB7N69+3mPPPJIZ95IH7MSMcOV0Ezc7ZbD\nk7ztG79kZnGJ0AvvAWePZjg+ky/XRqQTzv0SPn7urlHAxRCOzywylE5VCPlNLxZRhfHB+gKTtQQA\nH35yka1DKSZGsjxwao7FQgkft3sfziQYzSbZu224PCfh+7vz4SnnihrNlvsyVM9fVEk3zLZaCjLC\nbrzyQN3FM+pemV4sMpxOlAPe1T8nOt8jmSSTs07u/dhMvuKeCYFtw2ne/SKXadYOFdd61PrdmpzN\nMVcoMTaQ6iuXUS2JlbC/RtxWzRuVvhZgVNVYn56I/Cvw/eDhMSDa33EXdXq8q+oNwA3gVHxbH2n7\naJdfNu59OpUlEyc+kU54ZFNe0KNCSHnC5sE0k7NOdTbpSbm3BlARNF4olsiXlPE6ApO7xuoLTNbK\nHAr1oOYLSywUSuUakXTCde97fK5AsfRUxfsDlyBwaHLO9WpXV8tRfeo60wcepheL5JZ8kp7Hh17x\n9IYGJBpPOD6dYz5fIptKlI1V9a6+2ki/9Ru/dB0IPRCEUuAqyyaFgw89wXxhiScXfTIJYf/2TW1f\n0KvjHo/P5VvqXNkNTGKl8/RdYF1EdqjqieDh64F7g//fBHxTRD6PC6zvBeqLIfUR7dKcWsl9evXH\nc+3BhxgfTJUXe3A76y1Dab73zosj3Q+1HIzeOpSuSO3NJDyKSz4PzMyRX/LJJF0xXrKq4ryWUaxl\n5J5/zhjXHnyIB07Nl4UQwwD6kq/kI9WH0Tk+d2yAE7N5HpnKsX9imM+/tjLoH1edOErYx3wpKPpL\nes4ITM7my0ak0ed0+b4JxgZSnL95sGJ3Pb1Q4JHpRbKpJDt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M+GPgShH5dfD1nN4Mtz0E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\nf+kLQerNF87dAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ " OLS Regression Results \n", "==============================================================================\n", "Dep. Variable: ABETA R-squared: 0.238\n", "Model: OLS Adj. R-squared: 0.225\n", "Method: Least Squares F-statistic: 17.99\n", "Date: Sun, 10 Dec 2017 Prob (F-statistic): 1.87e-23\n", "Time: 20:09:30 Log-Likelihood: -2487.6\n", "No. Observations: 470 AIC: 4993.\n", "Df Residuals: 461 BIC: 5031.\n", "Df Model: 8 \n", "Covariance Type: nonrobust \n", "==============================================================================\n", " coef std err t P>|t| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "Intercept 228.0049 45.328 5.030 0.000 138.930 317.080\n", "sub1 -20.7563 16.356 -1.269 0.205 -52.898 11.386\n", "mean_gm -39.5341 61.996 -0.638 0.524 -161.363 82.295\n", "tiv 1.699e-05 1.88e-05 0.903 0.367 -2e-05 5.4e-05\n", "age_scan -0.5238 0.342 -1.529 0.127 -1.197 0.149\n", "gender -6.5250 4.757 -1.372 0.171 -15.873 2.823\n", "AD -67.5167 6.989 -9.661 0.000 -81.251 -53.783\n", "sMCI -29.3373 5.814 -5.046 0.000 -40.762 -17.913\n", "pMCI -55.8853 6.937 -8.057 0.000 -69.517 -42.254\n", "==============================================================================\n", "Omnibus: 20.975 Durbin-Watson: 2.053\n", "Prob(Omnibus): 0.000 Jarque-Bera (JB): 22.553\n", "Skew: 0.525 Prob(JB): 1.27e-05\n", "Kurtosis: 3.225 Cond. No. 6.16e+07\n", "==============================================================================\n", "\n", "Warnings:\n", "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n", "[2] The condition number is large, 6.16e+07. This might indicate that there are\n", "strong multicollinearity or other numerical problems.\n", "############################################################\n", "F test on full and reduced model:\n", "############################################################\n", " df_resid ssr df_diff ss_diff F Pr(>F)\n", "0 462.0 1.092506e+06 0.0 NaN NaN NaN\n", "1 461.0 1.088703e+06 1.0 3803.11315 1.610389 0.205077\n", "############################################################\n", "GLM results for effect of subtype weight on tau (CSF)\n", "############################################################\n" ] }, { "data": { "image/png": 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dmH8O+EBHnMmsW3QLRXGKUlkjpTiRzTORm912T+VcPvntl/jSj06CCF0Jh7GZ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\nq/gZmcgUeOlCmmOXZvjh8TEKfpA9l4r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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ " OLS Regression Results \n", "==============================================================================\n", "Dep. Variable: TAU R-squared: 0.201\n", "Model: OLS Adj. R-squared: 0.187\n", "Method: Least Squares F-statistic: 14.12\n", "Date: Sun, 10 Dec 2017 Prob (F-statistic): 2.19e-18\n", "Time: 20:09:31 Log-Likelihood: -2435.3\n", "No. Observations: 457 AIC: 4889.\n", "Df Residuals: 448 BIC: 4926.\n", "Df Model: 8 \n", "Covariance Type: nonrobust \n", "==============================================================================\n", " coef std err t P>|t| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "Intercept 39.4324 47.474 0.831 0.407 -53.867 132.732\n", "sub1 55.4086 17.424 3.180 0.002 21.166 89.651\n", "mean_gm 6.1240 66.076 0.093 0.926 -123.733 135.981\n", "tiv 5.953e-06 1.98e-05 0.301 0.763 -3.29e-05 4.48e-05\n", "age_scan 0.3036 0.359 0.846 0.398 -0.401 1.009\n", "gender -15.8416 5.037 -3.145 0.002 -25.740 -5.943\n", "AD 57.4518 7.318 7.851 0.000 43.070 71.834\n", "sMCI 21.8381 6.131 3.562 0.000 9.789 33.887\n", "pMCI 41.6000 7.287 5.709 0.000 27.280 55.920\n", "==============================================================================\n", "Omnibus: 251.345 Durbin-Watson: 1.849\n", "Prob(Omnibus): 0.000 Jarque-Bera (JB): 2524.685\n", "Skew: 2.175 Prob(JB): 0.00\n", "Kurtosis: 13.661 Cond. No. 6.23e+07\n", "==============================================================================\n", "\n", "Warnings:\n", "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n", "[2] The condition number is large, 6.23e+07. This might indicate that there are\n", "strong multicollinearity or other numerical problems.\n", "############################################################\n", "F test on full and reduced model:\n", "############################################################\n", " df_resid ssr df_diff ss_diff F Pr(>F)\n", "0 449.0 1.163361e+06 0.0 NaN NaN NaN\n", "1 448.0 1.137680e+06 1.0 25681.241106 10.112857 0.001575\n", "############################################################\n", "GLM results for effect of subtype weight on MMSE\n", "############################################################\n" ] }, { "data": { "image/png": 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LVa7os7AMRScFxWKquGp3rwlB0VZdt+cXK0EaCxAiYPC0v38atS7mMKIqVj3SphalcSbz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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ " OLS Regression Results \n", "==============================================================================\n", "Dep. Variable: MMSE_bl R-squared: 0.136\n", "Model: OLS Adj. R-squared: 0.132\n", "Method: Least Squares F-statistic: 40.80\n", "Date: Sun, 10 Dec 2017 Prob (F-statistic): 4.53e-39\n", "Time: 20:09:32 Log-Likelihood: -3036.7\n", "No. Observations: 1305 AIC: 6085.\n", "Df Residuals: 1299 BIC: 6117.\n", "Df Model: 5 \n", "Covariance Type: nonrobust \n", "==============================================================================\n", " coef std err t P>|t| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "Intercept 21.4949 1.412 15.219 0.000 18.724 24.266\n", "sub1 -2.3133 0.488 -4.739 0.000 -3.271 -1.356\n", "mean_gm 21.5471 1.697 12.695 0.000 18.218 24.877\n", "tiv -2.324e-06 5.62e-07 -4.135 0.000 -3.43e-06 -1.22e-06\n", "age_scan 0.0157 0.011 1.465 0.143 -0.005 0.037\n", "gender 0.3356 0.142 2.362 0.018 0.057 0.614\n", "==============================================================================\n", "Omnibus: 121.611 Durbin-Watson: 1.932\n", "Prob(Omnibus): 0.000 Jarque-Bera (JB): 154.745\n", "Skew: -0.828 Prob(JB): 2.50e-34\n", "Kurtosis: 3.319 Cond. No. 5.63e+07\n", "==============================================================================\n", "\n", "Warnings:\n", "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n", "[2] The condition number is large, 5.63e+07. This might indicate that there are\n", "strong multicollinearity or other numerical problems.\n", "############################################################\n", "F test on full and reduced model:\n", "############################################################\n", " df_resid ssr df_diff ss_diff F Pr(>F)\n", "0 1300.0 8161.840950 0.0 NaN NaN NaN\n", "1 1299.0 8023.148389 1.0 138.692561 22.455229 0.000002\n" ] } ], "source": [ "get_subtype_results(sub_img, 1, adni_df)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# subtype 2" ] }, { "cell_type": "code", "execution_count": 92, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Running analyses for subtype 2 ....\n" ] }, { "data": { "image/png": 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VmEio52hidudwTlRxEoJPZBt39DS7UkXCMlo7PJQC2bv3Oo477jh3pM4f4pya3WrbYVUW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PQ6zYmf9de+QxRFudz++v3kHaVe7Hza1dJiHK66/qX/6JbriTxGGQzeOcs5cVZctocXqJH1jjvu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\nfDyhXpxrXviJiYmgP1ZLmlzLu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oEuL/yR1fhRSpo7JRVU02ZHKXlCpHKcw1lnXUY+LBy1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MNt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\nxvjg7lF0mD+7DccaKQGvYRiGYYwFTE7HMAzDMAzDMAz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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "############################################################\n", "GLM results for effect of diagnosis on subtype weight\n", "############################################################\n" ] }, { "data": { "image/png": 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lS5fy1FNPXTMPP336dPbt20e7du149913nfiqqlZcXBz5+fl07979HxOkXq9X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\nkCfDtVotO3bsoKioi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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ " OLS Regression Results \n", "==============================================================================\n", "Dep. Variable: sub2 R-squared: 0.024\n", "Model: OLS Adj. R-squared: 0.018\n", "Method: Least Squares F-statistic: 4.466\n", "Date: Sun, 10 Dec 2017 Prob (F-statistic): 6.34e-05\n", "Time: 20:09:38 Log-Likelihood: 925.57\n", "No. Observations: 1305 AIC: -1835.\n", "Df Residuals: 1297 BIC: -1794.\n", "Df Model: 7 \n", "Covariance Type: nonrobust \n", "==============================================================================\n", " coef std err t P>|t| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "Intercept -0.0577 0.070 -0.829 0.407 -0.194 0.079\n", "mean_gm 0.1982 0.088 2.246 0.025 0.025 0.371\n", "tiv -3.148e-08 2.74e-08 -1.150 0.250 -8.52e-08 2.22e-08\n", "age_scan 0.0002 0.001 0.415 0.678 -0.001 0.001\n", "gender 0.0016 0.007 0.229 0.819 -0.012 0.015\n", "AD 0.0479 0.010 4.708 0.000 0.028 0.068\n", "sMCI 0.0067 0.009 0.784 0.433 -0.010 0.024\n", "pMCI 0.0387 0.010 3.890 0.000 0.019 0.058\n", "==============================================================================\n", "Omnibus: 65.603 Durbin-Watson: 2.065\n", "Prob(Omnibus): 0.000 Jarque-Bera (JB): 76.955\n", "Skew: 0.530 Prob(JB): 1.95e-17\n", "Kurtosis: 3.542 Cond. No. 6.06e+07\n", "==============================================================================\n", "\n", "Warnings:\n", "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n", "[2] The condition number is large, 6.06e+07. This might indicate that there are\n", "strong multicollinearity or other numerical problems.\n", "############################################################\n", "F test on full and reduced model:\n", "############################################################\n", " df_resid ssr df_diff ss_diff F Pr(>F)\n", "0 1300.0 18.938195 0.0 NaN NaN NaN\n", "1 1297.0 18.496522 3.0 0.441673 10.323568 0.000001\n", "############################################################\n", "Pairwise post hoc t-tests between groups\n", "############################################################\n", "Multiple Comparison of Means - Tukey HSD,FWER=0.05\n", "=============================================\n", "group1 group2 meandiff lower upper reject\n", "---------------------------------------------\n", " AD CN -0.0398 -0.0643 -0.0152 True \n", " AD pMCI -0.0062 -0.0334 0.0209 False \n", " AD sMCI -0.0338 -0.0582 -0.0093 True \n", " CN pMCI 0.0335 0.0087 0.0584 True \n", " CN sMCI 0.006 -0.0159 0.0278 False \n", " pMCI sMCI -0.0275 -0.0523 -0.0028 True \n", "---------------------------------------------\n", "Test Multiple Comparison ttest_ind \n", "FWER=0.05 method=bonf\n", "alphacSidak=0.01, alphacBonf=0.008\n", "=============================================\n", "group1 group2 stat pval pval_corr reject\n", "---------------------------------------------\n", " AD CN 4.0548 0.0001 0.0003 True \n", " AD pMCI 0.5416 0.5884 1.0 False \n", " AD sMCI 3.551 0.0004 0.0025 True \n", " CN pMCI -3.478 0.0005 0.0032 True \n", " CN sMCI -0.7533 0.4515 1.0 False \n", " pMCI sMCI 2.9499 0.0033 0.0198 True \n", "---------------------------------------------\n", "############################################################\n", "GLM results for effect of APOE4\n", "############################################################\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/Users/AngelaTam/anaconda3/lib/python3.5/site-packages/scipy/stats/_distn_infrastructure.py:879: RuntimeWarning: invalid value encountered in greater\n", " return (self.a < x) & (x < self.b)\n", "/Users/AngelaTam/anaconda3/lib/python3.5/site-packages/scipy/stats/_distn_infrastructure.py:879: RuntimeWarning: invalid value encountered in less\n", " return (self.a < x) & (x < self.b)\n", "/Users/AngelaTam/anaconda3/lib/python3.5/site-packages/scipy/stats/_distn_infrastructure.py:1818: RuntimeWarning: invalid value encountered in less_equal\n", " cond2 = cond0 & (x <= self.a)\n" ] }, { "data": { "image/png": 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3Jzg4mP3793P+/HnOnz9PWloaa9eupWvXrkRGRnLhwgUiIyPp0aMHJ0+e5OTJ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\nfHw8b7zxB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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ " OLS Regression Results \n", "==============================================================================\n", "Dep. Variable: sub2 R-squared: 0.002\n", "Model: OLS Adj. R-squared: -0.002\n", "Method: Least Squares F-statistic: 0.4266\n", "Date: Sun, 10 Dec 2017 Prob (F-statistic): 0.830\n", "Time: 20:09:41 Log-Likelihood: 911.10\n", "No. Observations: 1305 AIC: -1810.\n", "Df Residuals: 1299 BIC: -1779.\n", "Df Model: 5 \n", "Covariance Type: nonrobust \n", "==============================================================================\n", " coef std err t P>|t| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "Intercept 0.0095 0.069 0.138 0.891 -0.126 0.145\n", "mean_gm 0.0201 0.083 0.243 0.808 -0.142 0.182\n", "tiv -8.611e-09 2.73e-08 -0.315 0.752 -6.22e-08 4.49e-08\n", "age_scan -8.932e-05 0.001 -0.171 0.865 -0.001 0.001\n", "gender -0.0007 0.007 -0.097 0.923 -0.014 0.013\n", "APOE4_bin 0.0091 0.007 1.359 0.175 -0.004 0.022\n", "==============================================================================\n", "Omnibus: 71.705 Durbin-Watson: 2.038\n", "Prob(Omnibus): 0.000 Jarque-Bera (JB): 85.208\n", "Skew: 0.558 Prob(JB): 3.14e-19\n", "Kurtosis: 3.569 Cond. No. 5.65e+07\n", "==============================================================================\n", "\n", "Warnings:\n", "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n", "[2] The condition number is large, 5.65e+07. This might indicate that there are\n", "strong multicollinearity or other numerical problems.\n", "############################################################\n", "Pairwise post hoc t-tests between groups\n", "############################################################\n", "Multiple Comparison of Means - Tukey HSD,FWER=0.05\n", "============================================\n", "group1 group2 meandiff lower upper reject\n", "--------------------------------------------\n", " 0.0 1.0 0.0092 -0.0039 0.0223 False \n", "--------------------------------------------\n", "Test Multiple Comparison ttest_ind \n", "FWER=0.05 method=bonf\n", "alphacSidak=0.05, alphacBonf=0.050\n", "=============================================\n", "group1 group2 stat pval pval_corr reject\n", "---------------------------------------------\n", " 0.0 1.0 -1.3774 0.1686 0.1686 False \n", "---------------------------------------------\n", "############################################################\n", "GLM results for effect of subtype weight on amyloid (AV45)\n", "############################################################\n" ] }, { "data": { "image/png": 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KwmTBcF9SwpteupmHnz5HNQdTwlRFg9f1phSliQSB5MJ0kU09KR55+82A4tY6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\nA5yR8SlS4nzs62zJb4iTWxRXqY1DfXz7g69jy4N72X9sDIB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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ " OLS Regression Results \n", "==============================================================================\n", "Dep. Variable: AV45 R-squared: 0.292\n", "Model: OLS Adj. R-squared: 0.280\n", "Method: Least Squares F-statistic: 25.37\n", "Date: Sun, 10 Dec 2017 Prob (F-statistic): 8.34e-33\n", "Time: 20:09:42 Log-Likelihood: 116.89\n", "No. Observations: 501 AIC: -215.8\n", "Df Residuals: 492 BIC: -177.8\n", "Df Model: 8 \n", "Covariance Type: nonrobust \n", "==============================================================================\n", " coef std err t P>|t| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "Intercept 0.8434 0.209 4.032 0.000 0.432 1.254\n", "sub2 0.0461 0.081 0.567 0.571 -0.114 0.206\n", "mean_gm -0.1745 0.247 -0.706 0.481 -0.661 0.311\n", "tiv 8.869e-08 7.34e-08 1.209 0.227 -5.55e-08 2.33e-07\n", "age_scan 0.0026 0.001 1.863 0.063 -0.000 0.005\n", "gender -0.0448 0.019 -2.415 0.016 -0.081 -0.008\n", "AD 0.2638 0.027 9.667 0.000 0.210 0.317\n", "sMCI 0.0496 0.021 2.405 0.017 0.009 0.090\n", "pMCI 0.2939 0.030 9.754 0.000 0.235 0.353\n", "==============================================================================\n", "Omnibus: 24.460 Durbin-Watson: 1.912\n", "Prob(Omnibus): 0.000 Jarque-Bera (JB): 27.271\n", "Skew: 0.512 Prob(JB): 1.20e-06\n", "Kurtosis: 3.509 Cond. No. 6.94e+07\n", "==============================================================================\n", "\n", "Warnings:\n", "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n", "[2] The condition number is large, 6.94e+07. This might indicate that there are\n", "strong multicollinearity or other numerical problems.\n", "############################################################\n", "F test on full and reduced model:\n", "############################################################\n", " df_resid ssr df_diff ss_diff F Pr(>F)\n", "0 493.0 18.407777 0.0 NaN NaN NaN\n", "1 492.0 18.395756 1.0 0.012021 0.321499 0.570967\n", "############################################################\n", "GLM results for effect of subtype weight on amyloid (CSF)\n", "############################################################\n" ] }, { "data": { "image/png": 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JK/ojSW98DAeGc5QcHwFR7oYvJTsHO7nnLbsWNZHNZmCWkvAaTJVdhvMVKq5P0jToTBoM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\nnFIrWW/V4vUZicds9tfkbNaVZlhsJ+uvBO9JWFXba+97igM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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ " OLS Regression Results \n", "==============================================================================\n", "Dep. Variable: ABETA R-squared: 0.241\n", "Model: OLS Adj. R-squared: 0.228\n", "Method: Least Squares F-statistic: 18.32\n", "Date: Sun, 10 Dec 2017 Prob (F-statistic): 7.04e-24\n", "Time: 20:09:43 Log-Likelihood: -2486.6\n", "No. Observations: 470 AIC: 4991.\n", "Df Residuals: 461 BIC: 5029.\n", "Df Model: 8 \n", "Covariance Type: nonrobust \n", "==============================================================================\n", " coef std err t P>|t| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "Intercept 234.6579 45.193 5.192 0.000 145.848 323.468\n", "sub2 -36.6387 19.142 -1.914 0.056 -74.255 0.978\n", "mean_gm -58.2509 61.062 -0.954 0.341 -178.245 61.743\n", "tiv 1.924e-05 1.87e-05 1.027 0.305 -1.76e-05 5.61e-05\n", "age_scan -0.5642 0.342 -1.648 0.100 -1.237 0.109\n", "gender -7.1739 4.731 -1.516 0.130 -16.470 2.122\n", "AD -68.0484 6.871 -9.903 0.000 -81.552 -54.545\n", "sMCI -29.8355 5.789 -5.154 0.000 -41.211 -18.460\n", "pMCI -55.6349 6.903 -8.060 0.000 -69.199 -42.071\n", "==============================================================================\n", "Omnibus: 18.107 Durbin-Watson: 2.084\n", "Prob(Omnibus): 0.000 Jarque-Bera (JB): 19.297\n", "Skew: 0.494 Prob(JB): 6.45e-05\n", "Kurtosis: 3.101 Cond. No. 6.09e+07\n", "==============================================================================\n", "\n", "Warnings:\n", "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n", "[2] The condition number is large, 6.09e+07. This might indicate that there are\n", "strong multicollinearity or other numerical problems.\n", "############################################################\n", "F test on full and reduced model:\n", "############################################################\n", " df_resid ssr df_diff ss_diff F Pr(>F)\n", "0 462.0 1.092506e+06 0.0 NaN NaN NaN\n", "1 461.0 1.083892e+06 1.0 8613.735123 3.663586 0.056233\n", "############################################################\n", "GLM results for effect of subtype weight on tau (CSF)\n", "############################################################\n" ] }, { "data": { "image/png": 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nF6/rYGNXkttv2FUx3mzR9Hk/nSkxVXDN92crhqdme8fXu1aC0EpEE1kDNJv0\nVW3imcyVODWVx9cwPFVgc0+iYv+OmM10wWNdyi9zdis8X1PyfCZyJXIlj5hlEuNMXkOSjphN0fVQ\nGKe5Bny/8rgAnq+J2YrpgslPCFe6G//L95gpuuRdky+hlBE4fqDNuL7pf7K9TxOzrbq2+fKV83V3\nPkTR8+c17YSC1PU0z03ORKv+2+7ZDxhNreh5gCbvap4YzvCev/k5G7uTTBXceU2AB05nsKMWuqGj\nXDM8VZg3uqmeGQngHV//GTMFj2TMIlfyjKDEOPp7kjE2dSU4OpFjpih+DGH5ECGyQjQqGJbSRKfc\nHFNyfY5N5NHA9r6kaQU7nkcpFZlksiWProTN8HQhEAiagq+jsuRJR5FOOMFEphhMJ+lJxZgputiW\nxebuBKdnihRcv2IcedcjjCR3fdjR31Fx/gXPpzcVYzLvknd9408pI/SnnJws8KodfQ0J0UbMYM+P\nZbFhjsB8eiTDr//VT8mXPPxAKKpgHKdnSpzLmhyOYqAx1TIBup7GsaBSD2yMWu1yb7n7KTIFl5hl\nIrZ8DSXPJ+5Y0fWOORa7B9Os60yIH0NYNs57IaK16eRnW7MRQCvNYgTDUjoalq9qf3JknJhtGjf1\nJGMoFEfHc5yazNOdcKJV6wevvZhPfP850JrANw6YSfzEZIE/fv1l0YTZEbMjM85lA50UPZ/Lgv4m\nz57JkC165hjBQTRGw7ioO1Fx/q5nytrrIIKrnHDyjtmKgXSiZp5EZYCAqc01MlXg9HQhOl+Ya9rZ\n2d/Bw0fHK6LD/OC8s0UvGnM1GhPem47bjGaK/JfvPYulYLAzTmevQ2fcIWZByQdLGee4r82/XRsW\nb1oK74FUELBgWwpHm6KcYdh0+D2U94ZfLFLmRGiG816IuL7myLhZfSoI+nGoSKjYShlTQ9COtHx7\nuwTPYgTDUpvohKva6oTCnlSMbVpzcqrAeK5UsWr99hPDPDUyjcZoIDHbQgV/1wthBSoc22AmY5id\niBXQ3+Fwz4HTbOxKzNYFCzKmQ0ESYikjgCxl+oTUsu2XC2Rbwf7RDApY1+FwLuvOMYPtHVrHdXc+\nFAmcfMknZocCxPhjQsFVTkWAgIaZgheZ5cL3DmdMRNlFvSm29qZ4fiyHbRFVYO5NxLj9ht1zxr/Q\nxB3eA4NdCY6N5wGj5RgN0dxHYTLjYgIH6l3H8oXNu6+eYN+hcyJYhLqc90KkHI35Qbto8BbcHZgr\neByrtqAJk8NsS0UTdb0f8GIEQ6tCV2sdJ+ZYvGpH35zV/e037OItX32EmGXOPVxFb+5JVISwVhNq\nPT8/OUmm4M95vTNmsb2vgyeELmDCAAAgAElEQVSGp+nonzX0TOZLTORKeL42kR5lK3eY1WT2Ds1t\nwFUukJ89k8GxjF9mpuSzvS/Fqal8ZAYrz0API9KcoKCl6892ElyohkPoswmGWmXuKnJRb4qYY/Gi\nTfOblhbbU74nGWNbH0F4tU9X0uEb73xpzYTPUEiOThfo64g1pfFmCnk+df9BdvSnpB+5UJcLSog0\nQ7OC558On+O/fu9Z4o6iK25zfCLHzX/3JHf8qsvW3hSj02ZCNz3CVV3BMF913Ks+80OePWMEz2UD\nnXXLhcx3nFv3Ds0RdnuH1pFwLGaKHsrTJGMW23qTOJaK6irVIhQunbfdU3MizpR8nh6ZJm6rKF8i\nDBkGTWfcJuEoxrLunPd2xi3ueuQEV2/trZtkGDrGdfB3TypGd9Lh5KQpd/6p+w9GmfQqbibMMGx3\nR3+KExN5VPAlx20LT/u4c2Uh1ZWCYpYxLQF4moZNS5Fj3zeRcLOO/QNzIraiUOOEE4RFz62lVS2U\nfnE6Q8nTdCWc6HwXo/FO5Fxcf/7ghMXQrLlMzGyrGwnxbQMa+NI/HyNmK5KOja8hYVvYFvzpjw7z\n2y/bTLboM5krkS95jGeLzBQ83vWyLRwbz3JyMsfIVJ4zGZOl/Ok3v4CBdIJz2SKDXQl+e89m/uLH\nRzgwOoPWGq01+0czvO9bj9Wtslqvyi7Ae7/5GA8fHefUZJ6Hnh/jY997lqSjiNuKmG2il/INRvrc\ne2CUbKnGzBtQ8EwRxvFsiZmiy8iUESC+NlFY0wWPagOiaQesKXrenGq45dV3E44VOZw9X/Pk8BRP\nj0xzdqbEw0fHybs+uZLPkfEck0F/+Q3pBD1JYw7Kuz4JJ9QmjWZZiyDVA4URNjHbIu7MmvzKr+18\nlXifH8tS8nyOBaHRjmUc+0+NTNN52z04t/4Dff/5Xh45PtFQI6VajcwsRZRdP5krcWIizz8dHpsz\nnlpVjAuuT9KpnCKazTtptiqwVBNe/Zz3mojr+2QKLsmYhWMtj8z80aGz/PzkJFrrqC5SV8Ih6Vic\nnMzx6qH1fPQN8JWHj3NyMsfmnhQ3vWIr1+zsJ19j6XvlRT18+d9cFT1/1zd+zmS+FGkxADaayVyJ\n/3b/c7xqR39gWqs0xdUyQ131mR8yli1FoahhscSxrMvGrjiZoke+5JMpenzjnVfNW2U3dODPh2Mp\nBrsSQY/4ApmiH/k+bGWB1oRXIJzCfW1WOxM5d94kww3pOM+fy+EDMcu8Pzyfkjf7Oa6vOTmVpycw\nae3e2MUDN18TVfl1fc3odKHCJBeGKfvaTMxbexMcn8ij0YEgN9f6j19/KR99w+VztILnzmS48S8f\npSfpsHtjF7fuHYoc+2HeDZj71deQK/kkHUW26PGJ7z/HH7/+0gWLL1ZrE6ZUi0/BNQuWYxNGI0s6\nao5pqpamaluK3irtpNm8k4X8gPW0jaUElgjLw3kvRPaPZnjZ5/4JMBNYMmaRcmzzGLNJOhbJ6ucx\nm1SsbHvwWL1fKla13bH5l+Pj/LcfGLOJFyS7DU/loduYgzb3pAB49dB6Xj20vqlzOjFpalJZZStl\npYxT+MhYltOZQs33WUrNES7PnJ5BYcqSFMtCazVwdqYUVawdz5UaKtPu+T4WUE8X8XwzxqJnIrpc\nz2emaDo2aq1xdeUYoonf06DnOter8ypScRvXM8eLOxZFz0NjvouYZQWVeCFf8uckCO4dWsen7j+I\n65sVePgdxgNniedrSsEkf2IyT3/K5mzWpaihM27zH18zxEffcDlgxlP0PM7MuGSLJlTYsmAiV+Th\no+O85auPsKUnUWGC8zWURzcrZeEoI1g+9+DhSDjVM+3MaWTWleDIWI64rRiZDu8Jxcbu5JzJuFZ+\nym++ZDN3PXKiJXkn8/kB5/MNLTWwpFHEZNY8570QKcf1NZmCR6bQoHNjCcxG+Jj/j0/kidmKjrjN\nv7/7qUD4VAqsVCx47tgkYhapGgIt6dhs7EpwNlPA802zKjATkGPPCqla+Frja025tUkH/9yq3Aww\ngun4RI6TyiQoXvPn/8TN1+zgdZcNVAQVfOqBgzi2KUZofCn1zVkAeddEQE3l3Yow4mJ1fC+V4cGe\n1jw9MsV1dz7E3qF1FVFDe4fWsQ84NpEn5ZiJsicZ42cnJqPrEwqQkPKIpnsPjHLXIydY3xljIudS\nCFoRO0GghOfrive7nmY857GzzzjRi67m6q290etPj0wxkXNNvk04ft+41RIYE93pIJqr6JmGVHaZ\n9azckmYryBS8BSOoykuhJByL4alCEO1mNJqOuBVdFzDa2U+OjFeUhanWdq7e2tuS+lnzBYjMp220\noyZaNUvJxRLWaD8RpdSbgM9jcrm+rLW+vd6+L7jixfpT37iXXMkjFxT8y5V88q4XPeZLftlrldtr\n7ZcPTASrDVvBlt4UA53xWeETsyNhFAmtMuH0+QefZ3S6UFNzsJmNJbCAuKOI2xabuhNkih5bAjPc\nh+/5BbmSS8nTWJai4DZ+T4U5FPUoD7dd1+Gwva+D05kCI9NFNnbF2ZBOVDyfyLkVfT+OjeciDav8\nWDv6kjz/n18ffU6thlWj06Z9LRj/QvUwFZB0LDb3JKNKAGEy5Du+/jOm826kYZQThkAXPY0fHDdu\nV5oT45bCCZwvru/TEbd5yeaemmMsb2B1OlNgNFPE8zVJx2JTV4KYY0U1y8Jw6sl8KdJSXrAh3fb+\n6s32LglbE8/XJ2aptKMp2/nAeduUSillA88CrwdOAI8Av6m13l9r/6te8jL9P+/7UcvH4WtNvuTz\nwMEz/PWjJzk1lWNDOsFkvkTJ08QsyyTPYRyUHXGbt75wI7lIOPnkS15UyTZXCoSUOyvoQsG2Ggkd\nrl6Q8AaB6YnKSbNWzkWjxG2F75t8k96kzdY+s/o8dG6GouuTcCwuWZ/m4NkMheD5YDrBkfFcZBYq\n//xwitIYn8kvX7wu0mgePDxWocGAmchOTuYZ7Irz5HCmIpS3/LiOZXJUfK0ZWt9J0dWMTOfrBhh0\nxGyjEXo+Spks/nBsoQnNtkzpmPAz3vnSi/jxkfE5k+0TpyYjzTKsSzaZN9Ftuwa7ov2qhU0YubW9\nL0VPYC5q98QZmoz2j0xT8HzituKFG7s5N1OsKFFTPZZ2d/hsdVO284XzuSnVy4GDWuvDAEqpbwJv\nBWoKkXZhKcUjx8f53I+eJ24r1nfEyRaN1qI1dMRMZFbe9bGUcbg24wPxtSmtEQqbauHzyPEJ/vrR\nE+RKHr5v7O4x2+Lai/sZ6ExUvC/SokoeuTLBNZErLXqirxUAUMMi1rQAAWPmSTgK7WkmCx4Tw9OR\n5mIpyBZ9Tk6aydrCOKMn8m6FEAv/jFtmsg5HXfLhwUPn+OHBc9G+maLm4NksFtARt+hJOrxgMM33\n/89X8Yb/5yc8fHTcRH/5xpEeChLP1ziOMU+GppiiZ3qPaD1XE/HLMvPD/JRkEFnm+RpbaVw9W+6l\nN+Xwg2fPkil6nJjIkYrZDHYlyBa9SICo4PoPTxexmI0gC9mQTlDyNJu6TXMrX8O23mQkQKA9voZy\nwon/lrufoi/QLIan8oxnS5H5rpbvpd3VhJfDZHY+sxaFyGbgeNnzE8ArVmIgX3n4OHHblKMAoseY\nbdGbilVEXjXrRLeUMqaoWO0qTLfff5Bs0UTSOE5g+3dNwcI//1dX1D3ujw6d5SsPH+fg2ZloW9yG\nYoPuojAxzw8m0464Tb7k1RQkS6HaNBYeP3w8M2P8CqFwOJctUYtabpp6Y/WBTNFnplhkXWeJm7/9\nBOmEY3w5KqhIXLa/xgjVogv7R6foT8ZwfY2NKdditA0d5ZwoNJu6w+xzYzYMhVKY6T+0roOOuCnw\nOJUrcXwiF0TjQb7kceRclmqrYSjUfCBhqaiAJcqs7C/fkOYf/+0r0MCbvvTPjEzn8cOKmcBMyaUz\nbvHqL/6YI+NZdvR18MFrL+aNL9gwe65llovqlbuuIbzLg6SVgttD/5ljozG/GT9lSres60xwdCzL\n9v4O/vDVF/O6ywYoeX6ZXyzwMurKxUmj1hRVJ2T79355Jx/8ztP4ulQhxH7vl3eSLVbmLDXyUXU+\npub76x2ukc+Za2Bd3DFqvdyMZWotCpFaX1HFmSul3g+8H2Dz1q1tG8iJyRw9icpLmHQspgou373p\n5W373JAfHTrLM2eMEPA942S3lcJD88yZGa6786HIb/HqofWR4HjubIZMwaMzbkd2e4DSIuIN4rYV\nhaNqAK3Z3JvkXKZIzjXbnWD1H2I8AWaSW8jMZSvoTjpM5ty6kV7tRgNPDE/zxPD07LZ5Bu0DuZLm\nZMkINg/wyiSVrcCxLWxLMVJWst3V4HmztisfE3QwU/BQCs7OFCPn/EBHnMl8iaJb6eepHlZnwuHU\nVI7pgukTY1mKN16+IQrz/a2Xbebj9z2H65VIOhZ512cy76ICDS8dszkxkePf//1TfPQNzWnRtTh0\nboaehFMRpOAoxUTO5dvvqfzNPF+mFYX37onJXMU93Qp2b+zij153yZyQ+90buzgxmW/JZ5zPrEUh\ncgIolwxbgFPlO2itvwR8CeBle/bo7X2zEUuqpgxqjkvWdzIyla/o2ZEtugyt72RH31xVuHrl0KjQ\nL1/ZhOP/3jOjfOoHB8uObUJ8tZqtWTXQGWc8V+RTPzjI8Ykc/+PRk8QcRaHkBzZfF8eCuFIUaziO\n62GrueasmZJPLlhZ+8E+1RYvD9jWa7r2xSyjCdTSBiyMn2Ei5zY8plpjVMDGrgQFz+fcTGlRwkgB\n3Qmboqd52dZeRqcLHJ/I1TTjNYqnwXN9qgOwNXPvhdEgcquakartta6PCo53eqYUhUnbCr7y8DGe\nGJ5iaF0nScfi6m09/OzEFMPTBfo74iZZM6janHd9lFIofP7vh46yZ2svScdeci25LT0pzmQKkdYO\n5rPmiyr80aGzfPy+54jbip6Ew5lMgY/f9xwffQMtEyRLCblvF+0UnK1kLTrWHYxj/bXASYxj/R1a\n66dr7b9nzx796KOPtmUs80WctDs0MIwoOTKWjUJmq7/JroTNYDqBE+QJhEUPnxyewlaKnOsH9niT\nW1ErxDbEVmZi97SuWQqkmnCqUUGeR5gB3pmwKbo+nm9yVcLQ2fJPDsuI6Krj1ZswQyFrKgMoCp6J\nTPJ8Hy/wn6hgIPMk01dgYd7XmbD53V/ayTd+epKi7zE6VYwi1pyyyLJQ6yrXCnqSNvmSH2WO93fE\neN/Lt0fBFQfPZvjJ0YnoHFzf9FPpTcUYC8xyoc9ltRCz1dw8q6q8qdkQdbsqlN3myNgM33lqlJil\nSDhWVIn496/dyauH1gf7ViYGv+sbP58jeHIlj4F0gr96x0tW4jK0nXLBGWqKRU+3VCtciMs3dJ2f\njnWttauUugX4HsZC8tV6AqTdrGQf6jAJa0tPiucDR2k5cdvUVzo2kWNrT5KpvIvrmQnb8zVazSby\nQWgvnhsKG9KVMA2rGp3Pwt1mbf3GoTyRc0nY4GkFQWOr6kOWauWLzPc5ejZiSilFKqaC45ht2/tS\nDE8XKLgmF6MRv40fHLcr4fDZHx2mM24xXfDRClSZXyYZs4wz3DKqT1hxWGFyO2K2Kc4Zt01hyJdt\n6eHz/3SYI+M5tvWl+MA12/nxkXGOT+TY0pPk/a/czrVD63jgubN8+eFjnJzMobXmdKaI50PCIWjP\na/HvXrWd/aMZ/r/9oxRKprfIr1zczy/v7OezPzoUNa3yNVGZ/aLr8/LtvSZsPQi0yJd8JvIlpvJz\na5ZVU/I0Jc9lqnY+a9P80T8+AzwTPQ9LBiVjFmPZIo4yVbZVUHVbKRiZLvDR//XMnFD2MF+pIs8q\nyL8KhVq4T6w6AmGVUNvf6vGVh4+vOm1kzWkii6WdmkgrWWzGbHls+2SuxGimQKbgRb03YtZsCC5o\nSkE5clspSp7paR5GOoU5Cp6nK2pMhsIkND01uyAOjxMm04UaSNyxyAeqwVLuwig81jKlU8r7kycc\ni8sG0kzmShwdz2EFmf0LKSQqGOdAR4yRTDEyC/llQhGMEHG92b4eYHrER/sGkVeub8qjrOuMB6a6\nEnnXx7EsPvzaS6JM93K01tyzf5Tf+3vTYTFMgrQtxR9cezF/uHcIz9d42mgwnm8SMn2t51293/SK\nrRVmkpdv6+Xvnxyh5HmMZUuRRqUw31lP0sG2LN519RYu35CO8qfyJRM1+IvRaf7l2ASTeZeOuM3Q\nug56UrEo+i+MDKwOZa9uPrYShFUsks5cbapRbevw2Az7Dp4zte3SCd521SZ+Zee6iuMsVlhdd+dD\n9CScOcELUwWX+5cpd6VRTUSEyCqgGbNYrfccPJtloDPGuawb1GMyQqTgadZ1OEwX/Gh7mJHdnTTK\naMJWpGIWxycKFTkWoamlFb93W8GGzjjnguKHcVuRd030zVKO3xm3cZSm4Jme6PmSR6ZotIGN6TgX\n9aaYDCKcikEAgufrqGCi6zPHdBYqZpFGxdycExWY+Dak45yaKuAEJpp0zI4ED5jimxpdlqeiou/B\nDcrX3P2ePTW/62YS4cqFT8wx5qfwntqztZt/2H8a1zfh091JYzrrT8VY1xlnuuAGNcEMjpoV+qm4\nzZ++ZXfFSngpZhfP12VJvfXzpp44NcV3nx6N2i2UAhPYVRd105OMVbyvVij7asi1Cu+N8pJJ5nnt\nRODvP3uGfNAC2Qq0r1Jg6vyj1146q11VlV0y0YCt8fuet+astcBitYpmiszVMqXFbVMbqjPoIxHW\nZYoB2/s6mCq40fZUzOQ0jHzsjdGYb7n7KTZ1Jzg1OZvBbltgKQsdRGItlvLkPKVmTT6mKq8p/15w\n/cajDGrwP9/1MgA+8O3HOTpu7CyhqW4kU2Q0U6wo6hgLwl/DmlXphMVMwYv2KTeRhe+Jtpf9HTrv\nz86UIp/RYDpBTyrG6ZlidL3ijmklfCwQYklHRXXP7ECQ3HbP/pr3zNMjU2SLfiBszQFTMZvxbG3H\nO5jr/OYXbsS2VMX9MVsbzJgQsyVNLogkyxRdNvemTCvjsmO52pR4iSnT7fFPvn+QpGNz7cXr8LRe\nktnFtsw93xmfdzfe8sKN/MrF/VH01NAincxhYvB8VSryVYIrV5ytTJErM/uZY8zud3Iyb8zDen5t\n2vU1btFjptEY+jqczhR5zzcfq/u6pZgVRqH5rqpKRcKpVWqpSpjFGtecRIi0mIpOexAV29s9mK7b\n76PZInP1enHHHcWl6zuj1Wc6YZEtefQkY1E2driaDQkFWV9HkmTMjnp8FD2Nwm/a3JRwLEqeT8y2\n8LRmZLpIwrGI22YSiVkws0TH8Vu/9kjkfA7DaEueXykUAhRBDSsNDporNvUA8NjJyWjHWuu4al9K\nwjYrYkvBQFCr6uh4nqPjObZpU+6+6Gl29Keia+5M5Sl6OsqxgdBEqHlyOINjzRhns+dHNbGm8h4l\n3wQihORKHq6vuffA6LyLk+r746rP/HBOdFl4StkgkeZ0plhRiiYcqofR+DriFl975Di/vccESI5m\nCvQljdkl0l4sxchUnvWd8cDMVtvkVo96UUlLybXqiNtB3k1rKTc7aa2jQIipgstX3/5iCqFQCnxQ\n5dUoImHmesF+s4Ks4HqMTBcYnipE5lETVq/njRD0tRH2pr1z7ZypViNCpMVEjYY8zfHJvOnfreDg\n2Zm6Rd1alTFbz9EP1G1IBUb4/OTIOJ7vkwyyobf1JTkR5BRA4Kifx+ZUyxmvMDf1YFeCszMlXE9H\niXkAlq8pLuzLXZCweGSYg2LNE65crpEUPNMLvuBWalnV743bQQkbPXtcx7bwMZqe52lO54PcEG2C\nGXYNpjmdKQadFjXZkkdXwsH1SyYRMZio3SCCLDSPzRQ9MkWPuAX//YeHWN8Z4+RkpRfb0+YcP/Dt\nx9m5Lt2QxnvvgVH2j2bmbI++N2UWFvmSF42t4roF32N10cbuhEPO9XE9zWhmVvu9ZH0H/R31VQyt\nawuX7/1ilE9+/yAxG/pSMc7OFPjEfc+h3qC4tkZny5WmPGTZhERDwffZ3tfB0LrOln1OuWDd3J3k\nXVdvYc/WvtnqE4HmlC8TWHNNhGXbq2oBmv2M8IpqCzY4NvGJ1KHZ0tBhHZ7nzs5QdIOoHYwNd0Pa\n9OfoTcUqjrkcocL16g+Fnz0ybdRypUw73G19SU6Fqnpgwy969U1a9cq/93eYc53Mlzh4tjUlNRZK\nVGzk/WGL27hthHyuLP27/PXFfJ4qe/yHf2sS56qv+dd/doK/+fkpfB2Yw4LmUeXdEUM0pvdHfp6C\nllt6EmxIJxa8Z6678yEePjpet55Xb8rhJZt7+MkR09+kJ+mYiLAgACMRFJqsLto4ni1RcD1mgr4w\nYITc+s4YX/2NF9ft517vt1WvEGam6NGTdNjR38EHf8Vks3/y/mf54o+PkCl4pBM2v/OK7fzBtRdX\nCKd2z27LEYq7UuG+4lgPaEaILGVSD38Eh89lsYOQRF+bchnhivmKTV1zjtnuInMLjdf1zApaBVOm\nbZkoo+29KZSlor7e4URXy09Q7XgO/x5alyJmW/zitMmuj3qZL2BHrmapwqMaxzLBBAXXN4mazPpM\nSkucgK7clObxD72mYlt4X5VHWpV8HUW/LfZ6EIw3nTDaY9i+uNrh/vH7nuFj9z1bdwHgWLB7sIvH\nP7S34t4vuT7HAif79r4kw1OFmkUbj0/kgz71xow331gW+m1VF0MMm2n5WnPlpu5o/1ft6OVbjw1H\niZRh9GDYFCykXONxvXLNx4x3MWa2eoRaQivKHNVipfJkxLG+BJbSTS3sEBe2Og1NOnYQ255wLJSa\n2++63UXm6hH6Y1RcsQ0Ck4TJKdg9mGYsW2Jyxo2c8dNlvVhqRTBR9reN0U5OThZ41Y6+SIiU9whZ\nDK0WItt7k/QGJpcnh6fQQTJi0dc1/SKL4YnhDNfd+VDFYqDc7xQW2D0wOh00u2ruzDQwXfDIFLJs\n7IrPiUT6+H3P8InvPzdv3ILCLBJCH0u5SXTXYCegmC64dYs2FlyfKzd1zQlHDX165ZrHRK5EOm7T\n12H8cdW/g2rTbtjaNzQXhfuHAiRMSqxu3hWdm1I4tsLB5NgseD11mYDxK4WOp5nr49G67dnu9cor\nnZxs1ODUXkSI1GAp3dTCH+Ft9+xn/2iGuKXY3JMIchRM9M5ij9lKqk0J3QmHbMmjM+7Qk4rRk4pF\nTve9Q+v4eLCC1UDJMwLE9BYxnf/m66fuAem4xUA6wQM3X0PnbfeQLc110pcXc5yPhKMqzE7z0YjA\nOTaR5/SMie1POEYjsZU2E1MQBr0Uqpsb1bqvNnUlODqRizLtF3sOMBuJNjxd5MpNXRWvfe7Bw2a1\nbs92dSw/ZiowUzm2WnBBE2qt5WRLxpQU3kPl23f0d8xp+HRyIs9MwSMZs6OAg/LfQXWb3jCPaLCr\n8nfj+pqUUynqw+ZdSyESOovwwVcLlkgA1dKAmtB0mikVs5yIEKnBUh3d4Y+w3ESVTjik43bFKm45\ny03fe2CU2+45wFMjQTFBDaenC8bOGtyc1U732+7ZP5vRXnYsyyJI2ptthVtvwks4VjSZJByrptCx\nFaRjNhMFb95Js9pnMB/VWlI9Cq7PsYkcXQmbIH0FS+l5/RANfT4Lr7IBYo7F7sE0oHhieBqF8dOU\nfN1wSHWlGazyTdMF46RXShHHouTPVsW9JEgKNMfQCy5oavVhL7qaD157MXc9cmLO9lv3Ds3R6pOB\n+XB0uhAJkfLfQbUm1Jmwze8mWfm7MSV4jAYS4mlj2ltuwg6fjVItdPwFtJ2bXrGVj9/3HOBV+ERu\nekX7issuhtWZ87/C3Lp3iKKrmSm6aK3n9OJulOt3DfLAzddw+COv4xvvfClx217yMZshXA0+czqD\nH9iOjWbhM5U39vkjYzmjOdkqsk8/eyZraiUFpSRSMRtHmRBZX4Ntmezw+ULKZ4p+NJkMdiXo74jN\n2UdrGG9gBdlo3at6VP/OnaAkia/Nj/ePX38pXUknaFe7NDRGE6leZde6r26/YTePf2gvV27qIhUz\npUoSjoWzwMRkl52TwoQdT1ddx66EHYUm25YpJRImWS52QWMm+BexqTvJeK7Epu4kX7jxRXz0DZfX\n3B5qX+UFSkNNPFfy6v4OGvnd/MaLN0XRbVr7UUXpD1578bznsBqwLUU8SDhMJxy6kzH6OuKsTycY\n7EpwUU+SrX0pdvR3MLS+k9955Q7ufNsVbO1LMVPy2Nyb4nNv3c3brryIvlSM7oRDZ9zkeMQsK8pB\nWi5EE6lBO2pirWSdrXA1aHI+ZosihpnaedfnpZuN0zJTqD9Tu0G5FDD+knDF+Us7+9l3aGzO/goT\n0XXbPfs5cHrGZKbXWF6XL/rrRXktRPnPRjPXNKZqbAs7B27vTeEDH33D5Vy9tZdf+9ojFSXcm+VU\nEON/xabuSCudKbqM5XwStmL3xu6Ke+D2G3ZVOJ2PTeQ4O1OKxm8qZyjS8VmNzg6i6TSagXR8jiD4\n4LUX84nvP4fr+5ED2lKQjpuJuVbI93zUM3XV216tffWkYmxwTRjzeK604O9gvt/NZQPP8LkHD0fR\nWR+89uKa5WPOB978wo28+YUbG96/Xgi16/l1fTvNItFZFwBhxMvPT04Bs0KkPJLqpVtM0l0YTtmb\ninEmUyRX9CL/Rz7Ip0jFLHYHnuGw7arWOlrBhytd2zKZ2Y04js0kaaKlckVvTsOl+XAsxY6g3P/x\niRwFb25V42q/i8I4a03xRHjF9r6oFeubv/wvNXt0VI83/Ixa+5Vn6m/vS5rkTWUS3+K2oivh8LW3\nzw2BLTeBjk4XIhNH+Ds1LYE7eNuVF/Gp+w9GxR993yRXmqTW3RXH/fh9cyfbq7f2LsuCZiUrXQuL\no1qwdCVjEuILa0OINJuT0iihQ/ToeK5mwcNQKFSHU57OmIxZW5n9w1auO9d1RDbqZ05PU3BN2GcY\nIhw6cMMKtlqbnPdS1ZpO8TAAABGeSURBVOSumC2hHrNVRY/0xfg/ErZF3FFcNpCOop1MyGd9v4Ip\nUqmifb/7vqu5ftdglE/h69otgFOBRhcqKpYynSyrnfDlIdBxq7KzYiyQaLsGO+eEAYfce2CUN3/l\nXyJhHwrZ7b1JfODwR17Hx+97hv/+w0PMFD0sBRs6Y/R2xFfdJL1S4evC0mi0x7r4RFaYcKU2PJWn\nPxWLInruPTDass8IbfHrOmJz/AK2gt6kw7NnMhw6l6XkmZpSSikGu5Js6k7QkXDY0puiJ+WwqTtR\n4eTMB5Vye1IxtvWmiDuz5S+29aaifugxS1X0/gAjQMKVeZj4NzJdWJQAMWgKrm/s5d6so7K8DD2Y\nvztiFhd1J6LKural2D2Yjia158eybOpOROMuf3/CtvB1UEIjcAQlHQu7ygYdajlgfmBhSfrweJ42\npU+ePVPfkX3bPQfmlB5xfc2JyXwUqHDnQ0fIBbWYtIazWVPuP+6YSKvFcO+BUa678yF2fvIHXHfn\nQy29/8p9HKF/rB2fI6wMIkRWmPLolTAOvplJYD5Ch+ilA2nWd8bpSTkMpmNcuSlNV8Lm7EyJYlDV\nN9Q4JoNQpQ3pBH2pWOTkdH3NgdFpnjg1yYHRaSyl6E3N2rsvG0jTETPVSXtSpqZU6MwPmw2Fmbdh\nPa3LN3TyGy/exEzRlFtoBo3pL6HUrANeBbk5oenJsWBjV5LupMOl6zu5eF0HG7uS3H7Drug4O/s7\niNkmYCDhWDWKMGoG0wk2BSGnYYl3u0yOqCBnQQODXfFofNFYG5CRz56ZwSn7dYZyquCFkXMHjBmR\nWdOZ62sOnctyYiLP/pGpBq6aYTkWMkv9nHYKOWFpiBBZYaqjV6A9+SPhanDkY29k/E+uZ+Rjb+Lx\nD72GbX0dxGwVVaWNBX3awySv6qidyiZWZmVf8iojjroSDt1Jh5miy4bOOH6QzXxRd4IN6RiWUvQk\nbS5Z38nuwTRTBY97DpwmnbArYuEbwbbMBNqfirGxK8G2HpPEFjrXw/HaykSThVFEJyfzjEwXyBRL\n3LHvUDQphVqbYyl2bUizpSeBhZmo445iW6/J1o45Fjv6ElhB2ZJUzKYrYZnAgEBoOpZiMu8StpII\no+I0Rhhs6k4wH7YyUTxRd0jM92Mi52aiBNbqJM+i5zOZ9xqeaJdjIbOUz1kuIXc+sZxCV6KzVphG\nc1La5TeZKri8YEMapRST+VJUvbfgzg2/vGPfIfo6YmzpnU1ymim6xG2LdZ3xyOb92be8MNq/Ouv5\n0oE0X/r12aKQYRLa8fEcnobF9O6xFaQcm4Lr0dcRM9cwDrGJXKSNlGfTXzbQGV2zW+5+ir7A2Vud\nFFgeDXTpQJrfeeV27nrkROQcDq/LX7ztqorzDMuth/uWPJ8jY7nafeSVqbYaZolXf78bu2KcnCxi\nEZrRjI9n14bKon4xy6LgVftuFOs7Yw1VWIClJdcuhmY/ZykVJC5EqhM8q+/vViNCZIWpl8BVHm7Z\nzpuiXIj1JGNs64NTk3l8DZu6kxXCqt4kMJ4r8fiH9laMt5bAC7d/4O4n55S/CPH82omLQXRrVEJm\nZyBkT03lKflwYiLPxi7Ty2N9R5zhzGy/jdDS9LYrNwELT0q1wlXni2Yq3/e6Ox+qOHbcKZCvytIP\nEwr7OmLRKrz6+8272mh5QQa0Yyl6EzFuv2E3AJcNdHBgdGaOj8tSpnhmd8JpWAi0qop0NXOrI9TP\nbJ+P5RJy5wvLLXRFiKwwjeSPtPOmuHXvEO/71mMcG89FfT+6k07NCqyNTDb1BN67r56IVuj9qRgn\nJnJkix5JpzKLvxaWgp19KQqez8h0kY1dcbTWUXHApGMiwo5N5NgGZIJy5mAimhKORU/SYd+hc1wd\nlL33g54fYROphSalRmubVU94nm+aUOUCoQCmNLyndfSZtb9f448q1/Aqc0p2895vPsZ0wUV5s+ca\n9i+ZKboNa7ONLGQWS637YCJXisyLi/mcdgm585XlFroiRFYBC01Q7b4pqv0c1Y7fcPJ5emSKqbzH\n+s5YRfnx8kmgnsD73IOH2diViLangsJ9o5mCmcTjdkW2dVid1ZSTUPgQmJbWse/QOX5yZJyYrbgo\n8IGEZriRoHOjpRTbyxpCaa3ZPzLFLXc/FdWaKro6EjyOrVoyKVVPeLM1uYgivnxNUALGTISNanjl\nXL9rkK+9/cXcse8Q+0emmAy+l+6EUzMLfCFtttWJsPUEY7Xps5HPaYeQO59ZbqErQmQN0M6bop6f\nI9RyyiefLT0pTtsFzs6UKHma3Ru75kwC9SbETMG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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ " OLS Regression Results \n", "==============================================================================\n", "Dep. Variable: TAU R-squared: 0.191\n", "Model: OLS Adj. R-squared: 0.176\n", "Method: Least Squares F-statistic: 13.20\n", "Date: Sun, 10 Dec 2017 Prob (F-statistic): 3.64e-17\n", "Time: 20:09:45 Log-Likelihood: -2438.3\n", "No. Observations: 457 AIC: 4895.\n", "Df Residuals: 448 BIC: 4932.\n", "Df Model: 8 \n", "Covariance Type: nonrobust \n", "==============================================================================\n", " coef std err t P>|t| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "Intercept 35.8173 47.770 0.750 0.454 -58.064 129.699\n", "sub2 -41.2373 20.403 -2.021 0.044 -81.336 -1.139\n", "mean_gm 35.7058 65.613 0.544 0.587 -93.242 164.654\n", "tiv 1.969e-06 1.98e-05 0.099 0.921 -3.7e-05 4.1e-05\n", "age_scan 0.2507 0.362 0.693 0.489 -0.461 0.962\n", "gender -14.5502 5.050 -2.881 0.004 -24.474 -4.626\n", "AD 62.8786 7.266 8.654 0.000 48.600 77.157\n", "sMCI 22.9726 6.160 3.729 0.000 10.866 35.079\n", "pMCI 46.2359 7.310 6.325 0.000 31.871 60.601\n", "==============================================================================\n", "Omnibus: 243.094 Durbin-Watson: 1.886\n", "Prob(Omnibus): 0.000 Jarque-Bera (JB): 2229.641\n", "Skew: 2.116 Prob(JB): 0.00\n", "Kurtosis: 12.959 Cond. No. 6.15e+07\n", "==============================================================================\n", "\n", "Warnings:\n", "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n", "[2] The condition number is large, 6.15e+07. This might indicate that there are\n", "strong multicollinearity or other numerical problems.\n", "############################################################\n", "F test on full and reduced model:\n", "############################################################\n", " df_resid ssr df_diff ss_diff F Pr(>F)\n", "0 449.0 1.163361e+06 0.0 NaN NaN NaN\n", "1 448.0 1.152850e+06 1.0 10511.563084 4.084817 0.043864\n", "############################################################\n", "GLM results for effect of subtype weight on MMSE\n", "############################################################\n" ] }, { "data": { "image/png": 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L1mKJXLxDl9RcyZCpcfdkEVCppEvLdX7jS2fWzp/oV4hYS6YumCxajGRNpJR9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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ " OLS Regression Results \n", "==============================================================================\n", "Dep. Variable: MMSE_bl R-squared: 0.135\n", "Model: OLS Adj. R-squared: 0.132\n", "Method: Least Squares F-statistic: 40.69\n", "Date: Sun, 10 Dec 2017 Prob (F-statistic): 5.72e-39\n", "Time: 20:09:46 Log-Likelihood: -3037.0\n", "No. Observations: 1305 AIC: 6086.\n", "Df Residuals: 1299 BIC: 6117.\n", "Df Model: 5 \n", "Covariance Type: nonrobust \n", "==============================================================================\n", " coef std err t P>|t| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "Intercept 21.7079 1.412 15.371 0.000 18.937 24.478\n", "sub2 -2.6776 0.571 -4.688 0.000 -3.798 -1.557\n", "mean_gm 21.4763 1.697 12.652 0.000 18.146 24.806\n", "tiv -2.387e-06 5.62e-07 -4.246 0.000 -3.49e-06 -1.28e-06\n", "age_scan 0.0148 0.011 1.385 0.166 -0.006 0.036\n", "gender 0.3333 0.142 2.346 0.019 0.055 0.612\n", "==============================================================================\n", "Omnibus: 121.085 Durbin-Watson: 1.945\n", "Prob(Omnibus): 0.000 Jarque-Bera (JB): 153.868\n", "Skew: -0.825 Prob(JB): 3.87e-34\n", "Kurtosis: 3.330 Cond. No. 5.63e+07\n", "==============================================================================\n", "\n", "Warnings:\n", "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n", "[2] The condition number is large, 5.63e+07. This might indicate that there are\n", "strong multicollinearity or other numerical problems.\n", "############################################################\n", "F test on full and reduced model:\n", "############################################################\n", " df_resid ssr df_diff ss_diff F Pr(>F)\n", "0 1300.0 8161.840950 0.0 NaN NaN NaN\n", "1 1299.0 8026.061749 1.0 135.7792 21.975557 0.000003\n" ] } ], "source": [ "get_subtype_results(sub_img, 2, adni_df)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# subtype 3 " ] }, { "cell_type": "code", "execution_count": 93, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Running analyses for subtype 3 ....\n" ] }, { "data": { "image/png": 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ThiuvvAX2bue9+dTej6InAg782m1MDdJRFGXo1JPTWVBj2dBRJ76iTDKyHe7D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RlhGOLb27fjvCVL4t9Y/azHdRnDXG1EVE86LnmyqPSZIH3JX5Oz9Nna866CWshVwz2SzWuAe2Gs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\nmedAJ9sLYguM6ah9wLUjHTndlkS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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "############################################################\n", "GLM results for effect of diagnosis on subtype weight\n", "############################################################\n" ] }, { "data": { "image/png": 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0aBB5eXk0aNCAkSNHYjabCQgIYOzYsXh4eGC1Wh/7qq5Hjx4lJycHgO+//54W\nLVpQtWpV/v3vfzNhwgTc3NwYMWIE3bp1IyMjg8uXL9O2bVvZXfUXyM3NBeyVDAwGA3q9niFDhhAT\nE8PIkSNp0aIFkZGRdOrUycGW3huycNxH4uLi+PzzzwF7lNTcuXPveH3ChAkEBgai1+vZtm0bgiDg\n4uKCTqdDp9Nx/vx5+vbtKx0/Y8YMbty4QVhYmJQb8qjTpUsXnJycpPavhw4dkgrt5eXlsWzZMoqL\ni9mzZw8GgwEnJycp6c/NzY3Vq1cTGhoqRWKVM2nSJGbOnMnEiROZN28eISEhD39wFYyOHTty4MAB\nXFxcOHLkCIsXL+aZZ57B19cXrVaLyWTCZrORn5/P1KlTEUWR8ePHM2DAAEebXmE4f/4869evp1Wr\nVgwbNoykpCQCAwOZO3cuhw8f5qmnnpICEH788UdpxXvz5k2mTZt2xz5IZUIWjvuIv78/7u7ulJaW\n4u7uztdff02XLl1wdnYmLi6OunXr8uqrr0qbuaIoSmGiTk5OtG3bFoBLly5RWFgolV4vLCxEFMXH\nZqbXokULmjdvTm5uLoMGDaKwsJDY2FiCg4Pp06cPISEhLFmyhJSUFOrWrcu5c+ekisJqtZopU6bg\n4+PD2LFjmTNnDmazmbZt25KYmAjAsWPHGDZsmINH6XieeOIJdu7cidVqpWvXroA916B8T85gMFBa\nWopGo5GK9JXXXZKxs3z5cpKSkrh27RoajYZt27YREBDAxIkT+e6777h8+TKurq4YjUZeeOEFNBoN\nhw4donPnzowYMQK9Xs8bb7xR6Va/DhcOQRC6A58CSmClKIrzf/H6FOAfgAXIA14VRTHloRv6FwgI\nCGD16tUkJiby7rvvcvDgQc6fP49er+fatWs0bNiQJUuW8NJLL7F7925EUaRevXq0a9dOqqI5btw4\nKeT0+eefB6BTp06PjWgAuLq68uGHH0qPy4tHlvcoSU9P58CBA+zcuRN/f39mzJjBzJkzKS0t5auv\nvpJcgu7u7ty6dQuwd2bz9vbGZrPRqlUrh4yroqJUKnnttdc4dOgQ/fr1Q6lUMn/+fNzc3Jg+fTqp\nqan06tULb29vhg4dil6v5/z580RGRt7R7+RxpEmTJiQlJVGrVi3ps5afn8+xY8cwmUzk5uYSGBhI\nQEAAXbp0YePGjSiVSmkPD+DGjRt4eHhQvXp1atWqxZEjR/D09LxjxVzRcKhwCIKgBJYBXYB04IIg\nCHtEUbx+22GXgShRFMsEQRgPfAgMfPjW/jWqVKmCq6urNEOzWq0kJycD9rpUZ86cwdnZGTc3N/Lz\n85k2bRq9evWiqKgIsC9ny/FO54vkAAAgAElEQVT09PxVZNHjQHk3P19fX+k5pVLJwIEDycjIoFat\nWmRnZwNQUFDAgQMHpM1HZ2dnlEol7u7udO3alUuXLmE2m+nVq5dUmuT2cuAmk4l169ahVCoZPnw4\narX64Q7WARw9epTjx4/zwgsvSBVdmzVrhtlspmHDhvj7++Pv74/NZpNcKyUlJUydOhWwZ/KfO3cO\nf39/vvzyy8fimv0ekyZNom/fvgQFBZGUlMQXX3xBZGQk7dq1IykpCV9fX65fv47FYmH58uV89dVX\ngH0i89JLL5GTk4PVauW9995DrVYzYMAANm3aBNhrtJX/fSoajl5xtAASRFG8BSAIwhagDyAJhyiK\n3912/FmgwvsYPD09+eijj7hy5Qrdu3cnLi6OgwcPEhgYyNtvvw1wR//r8PBwatSogSiKDB06lAYN\nGlBUVMRLL73kqCE4jPz8fMaOHUtxcTFvvvkmWVlZxMTE8I9//ANnZ2c6derEs88+S1lZGaWlpURE\nRNC6dWuio6NRKBS8+OKLDB8+HCcnJ1xdXfn6668RRRGNRsPy5cupXr06TZs2Zd68ebi6uvLUU0+x\nefNmwL5irGwug7vFZDLxwQcfYLVaiY+PZ8uWLYiiyBtvvEFRURHffPMN1apVIzs7G6VSSWRkJKmp\nqfTo0YPc3FySk5Ol/A+NRoPZbH5shcNsNvPmm28SExPDlClTKC0tpbS0lPDwcJ544gnWr19Pamoq\nL7/8MmBvq1CnTh3i4+Np1qwZDRs2xMnJiZSUFOl8paWl0vmNRqNDxvVXcLRwhAJptz1OB1r+wfGj\ngG8eqEV/E6vVyv79+/Hx8ZH86AEBAbRt25Yvv/xSOk6tVuPh4cGQIUPo27cv/fr1k14LDg5mw4YN\nrFq1ipEjR0plSR4H4uPjKSwsBO7sz2yxWIiPj6e0tJTo6GgmTZrEE088Qc+ePQkPD6datWoolUqp\njH1QUBDfffcdixYtokGDBnh7e3Po0CHAvgFfPpO+vdTD4+B2UavVVKtWjeTkZKpWrco777xDaGio\ntEIuz6EB+2e5V69epKamEhwczOjRo9FqtXTs2JHIyEhat279WH02f0l6ejo//PADAPv37+fatWuI\nosiyZcuwWCxcuHCBAQMG4O3tjcFgYOTIkZw8eRJnZ2eioqJ45513EEWR1q1b079/f2rXrs3TTz9N\nUFAQXl5etGnTxsEj/H0cLRy/5bgXf+M5BEEYBkQBHX/n9THAGMChafxffvml1Dv8l0vNfv36YTKZ\nMJlM0izXbDZL5djLOXbsGOvWrQPsK5PyGcvjQLNmzXjmmWfIzMxk4MCB3Lx5k7y8POrWrSv1L1Gp\nVLz11lsYDAYuXLhA48aNpczw//3vf2zdupWwsDD8/PwoKSnh3LlzUjMitVpNVFQU0dHRuLi40L9/\nfzp37oxSqaRRo0aOHPoDQ6vVkpaWRr169VAqlSxZsoTExET27NnDsWPHALvL5dq1a/Tp0welUsn0\n6dNxdnZmwYIFgL1sTnkEkE6nY86cOXf8jvj4eJYsWUJ4eDivv/76rz7TjyLVqlWjVatWxMTE0KdP\nHwRBICYmhgYNGvDBBx8giiJpaWk4Oztjs9koKipi165dAOzZsweVSoXZbMbf358JEyZI5x00aJCj\nhvSXcbRwpAO317gOA36VlSUIwrPATKCjKIq/uX4TRXEFsAIgKirqN8XnYVCewAZw7tw5vvjiC3r2\n7EnPnj2JjY3lxRdfJDk5WRKO1NRU6fjs7Gw2bdqEh4cHgiAgiiIFBQUMHz6cNm3a0K5dOxYuXEit\nWrV4++23f1WS41HAycmJf//739Lj1atXk52dTe3atenRowcXLlygffv2vPbaaxgMBry8vDh69Chg\n98PHxMQA9tngc889R2xsLJGRkUyaNInWrVsTEhIiteRVKpU4OztX2npBfwWj0ciYMWPIycmhV69e\neHh4sG/fPl588UXq1avHsWPHcHd3Jzo6mitXrnDlyhUGDx4sbdyq1WrMZjNBQUFMmTKFmJiYOyLS\nbDYbZrOZDRs2EBMTQ0xMDM8+++wjK8K3c3vtNLCHN+fk5ODr68u1a9coKCjAz89PWt3u3bsXHx8f\niouLiYqKYuTIkSQlJUkVnCsTjr7zXADqCIIQDmQAg4Ahtx8gCMJTwOdAd1EUcx++iXfH4MGD8fDw\nwMfHh0WLFlFaWkpiYiJXrlzh2LFjhISE8MUXX+Dp6YnNZqNWrVr06tWL5s2bYzKZOHPmDABz5szB\n29ubjz/+mPT0dLZu3UpycjIpKSmkpKTQt2/fSvPlPHXqFEePHqVXr14EBwezd+9eWrZs+bv9BzIy\nMkhNTaVFixaSiI4YMQJvb2/ef/99vLy8WLp0KT/++COtW7fmm2++YeXKlXh6ejJ27FjWrFlD06ZN\nGThwIAMH/n8cRdOmTTEYDIB9LyUpKYk2bdqgVquxWCwcO3aM0NBQGjRo8FCuy8NAp9NJSX4JCQkk\nJCRgtVrZtm0bO3bs4MaNG7i6ukqRaMXFxXz99dfYbDZKS0uZP38+qampPPfcc8yaNYuffvqJqKgo\nqlevjk6n47XXXiMjI0MqLR4QEPDY9jtRq9VSBebPP/+chIQEIiIiOHv2LDabjapVqzJ06FByc3Pp\n1asXV65cwWw239GPvLLgUOEQRdEiCMJE4Fvs4birRVG8JgjCXOCiKIp7gAWAB/D1zyGpqaIoVqgd\nzOzsbGbNmoVCoeC9997D1dWVrKwsGjduzOnTp2natKnkZsnOzmbu3LnodDpUKhXHjh2jrKyM6Oho\nqRy4m5sbjRo1wtfXlxYtWpCamsqTTz5Jhw4duHjxIlWrVq00pa9tNhtz587FZDJx5coVAgMDiYuL\nY+fOnezcufNXPvL8/HxGjx6NXq+nX79+TJw4kf3795OWlkZaWhrnzp2jS5cuBAcHS+6nOnXqYLPZ\n0Ol0VKlShU8++UQ6382bN9FoNFSrVo2xY8dSUlLC66+/zvLly9Hr9fTs2ZNp06axcuVKvvrqKxQK\nBatWraJmzZrExsaye/duOnToUKH9zX9EQEAAkyZN4uLFiwwdOpRvv/2Wffv20a1btztcVYMHD6ZB\ngwa0adOGhIQE1qxZg6urK4sWLSI3N5ecnBypdMu+ffvo2rUrCQkJ0n5IWVkZX375JV5eXo/1vkc5\nFy5cIDExkTp16hAaGorJZOKZZ56R2i0UFBRIjd9u3brF66+/7mCL7w5HrzgQRfEAcOAXz8267edn\nH7pRd8mRI0eIj48HYO3atVKzpiFDhtCtWzf8/f0RRZGtW7fSunVraZPcYrHQtWtXVq5cSfPmzZk2\nbRotWrTAbDbj7u7OrFmz+P777+natSszZsxAoVDQsWNHXFxcKo2bSqFQEBYWxq1btwgLC5PsdnFx\nYeXKlZSVlTF+/HgOHTpEYmIinTt3ltwkmZmZfPXVVwQFBeHi4oKHhwf79+/no48+YtKkSXTu3Jm8\nvDzOnj2LKIpYrVauXLlCTk4ORUVFBAUF8c9//hObzUavXr0kH/3ly5ellUdBQQGA1GzHZrNJr73/\n/vtkZGRw7Ngx9u3bV2nLs/ft21eqSFCnTh1u3rzJrl27JOEVBIG8vDyuXLlCWFgYzzzzDNu3b8fJ\nyUkqnZGUlETz5s2JiYnhueee48yZM5w6dYrGjRuTl5fHCy+8wMGDB9HpdLz66quPdTuAxMRE/vvf\n/wL2z1dRURF6vV4qclj+fPlKoyJHT/0elePuU8Fp2bIlW7ZsQaFQ0LBhQ0k4cnNzpb2MuXPn4uHh\nwenTpxkzZgz/+c9/cHJy4qWXXsLd3Z1Lly6RnJzM2rVryczMJDo6mgsXLgBw9uxZabPx9jDeysKn\nn35KbGwsDRs2xGw2c/LkSXQ6nVSeBey9IcCerTxlyhTi4uKkEFqFQsHq1asRRZGRI0cC9iiWr7/+\nmpSUFLp164aTkxOCIODr68sbb7wBQNeuXaU9Jzc3Nzp06EB+fj4jR44kKiqK48ePM3ToUAoLC6XM\n/Y4dOxIUFMThw4fx9/cnIyMDf3//SiPUf0RaWhparVbyuScnJzNr1iz8/PykqsQbN27k2LFjksi+\n8MILxMfHM2rUKM6fP49Op8PZ2ZnZs2djNpupVasWmzZtuiOgw93dnVdffdVh43Q07u7u0t6QSqWS\nJiU3btxg1KhRlJWVMXz4cKKiokhOTr6jzFBlofJ/GyoAderUYefOnYDdzxkQEEBRURFFRUUcOXIE\ngJMnT3L48GEAfHx8pMJny5YtY8eOHYDdjVXuj87MzOSVV17h22+/rfT5HB4eHjRv3hywZ4X36tWL\nGzduoFQqsVqt1KlTh5MnT1JWVoazszM3b96kU6dOkpgAXL16FQ8PD9q0acOPP/5Ip06d+OyzzwD7\nDE8URUwmk1TXCuwlYEaNGkVRURFPPfUUs2fPRqlUotfrOXHiBBcvXiQxMZEnn3yS6OhowN7FberU\nqdy6dYvQ0FDmzZsnNdqqzBw4cIAFCxbg5uZG+/btuXnzJgEBAcydO5eqVavSsWNHvvvuOzp16kRG\nRgZgXy2OHz8eJycnybUCsG7dOry8vCgoKMDf35+0tDRKSkpQKBTYbDaCgoIcOVSHExwczPLly6V9\nuhMnTmA0GmnUqBGdOnWSQsDbt29P+/btHWztvfGnwiEIgo7fCZEFEEXR675aVAm5dOkSN2/epFev\nXhQWFlJcXEzr1q1Rq9Xk5uaiUql4+umnOXHiBCaTiaCgIGmZWlRUhL+/PwUFBdSoUYOBAwdy8uRJ\n+vbtS4MGDRgxYgRgD9tduXIler2eMWPGVMqVx+3Uq1ePxYsXs2/fPvz9/Vm5ciWZmZn897//JS8v\njyNHjrB161Zq165NaWkpixYtAuD1118nOzubDRs20K1bN9LT0+nWrZv0ekZGBqNHj6a4uFjyKZdn\nlZf/u379upSpX1JSIl1LtVqNi4uLVI9Jq9VK9cMqO9ev23Nqy8rK6NatG3PnzpUy6bOysujSpQs1\natQgPDycl19+mVGjRuHh4UFRURHvvfceKpWK8PBwkpKSaNasGVWrViU+Pp6ePXsyatQozGYzgwcP\npkWLFjRp0sSRQ60Q1KpVS+qnExoailar5auvvmLHjh0sW7aMOnXqONjCv8efCocoip4AP29YZwMb\nsOdfDAU8H6h1lYDs7GxmzJiB1WolLi6Oa9eukZ+fz5NPPkm9evXYsWMHTz/9NPXr12fjxo0YjUZC\nQ0PZtWsXZrOZcePGcfPmTWw2GwqFgmXLltGgQQPq1at3x+8pv5GCfSb9KOR27Ny5kyNHjnDw4EFW\nrVpFs2bNCAgIIC8vD39/fzw9PRkwYIDk+gP7Znd5TaDyUNDNmzfj5uYmFTNcsWIFoihiNpslgShP\nunJycpJmxTVr1sTLy4ukpCQGDhxIaWkpw4YNo2nTpnTs2LHSlrz+LYYMGUJ+fj5qtZrNmzdz8eJF\nRo8ezapVq2jcuDFbt27FYDCwfPlyLl++jFarpaysjAMHDkgRV+PHj6ddu3akpqby1ltvAfZ9uvLO\ngQaDQRaN36H8GpnNZtLT0+8QDo1GQ3R0NE2aNKk0oeF346rqJori7Vnd/xME4Rz22lGPLQqFQipA\nKAiC1JGuvCc2wPHjx+nVqxdpaWn06NGDnJwclEolnp6erFq1ikOHDhEUFERQUBDZ2dlkZ2czePBg\nIiIi0Gq1bNmyRfpdNpvtkQl3LI++USqVREdHc+TIEWbNmsXZs2fZsmUL/fv3Z/78+QQGBtK5c2ci\nIiLo1q2b1KEuMDBQusZeXl74+flJqwqwb8BHRERgsVjo0qULOp0Ob29vqf5XVFQUR48elbKlRVHE\nZrNx8eJF3nvvPVxcXBxzYR4AISEhzJ8/nzfffJPr169z/fp1mjVrxlNPPUXz5s1JTU3l+PHjtGrV\nSsotslgsNGzYEBcXF5RKJRERERw4cOCOEiPh4eEMHTpUyjd6nNFoNHz//fc0btxYCssF+8rVbDbT\npk0bqlWrRocOHQB7qLSLiwtz5szhxx9/xMvLi6+//rpSBGHcjXBYBUEYCmzB7roaDFgfiFUVjCNH\njlBcXEzv3r1/9UetUqUKCxcu5OLFi4SHh9OrVy9OnjzJU089RU5ODlu3bqVly5bMmDEDm81GQkIC\nZ86coaioSCoDDvaN9N69exMTE0Pt2rWlD96KFSvYv38/ADNnzqRatWrUrVv34V6AB8Rrr71G/fr1\nKSsrY8mSJYC9llJISIi017Nt2za+/fZbRFGkWrVq7N27F5PJxNixY2natClHjx6lpKQEi8VCeno6\n+/bto3379litVq5evUpiYiJjxoxh4cKF3Lx5k/r16+Ph4UFJSQkhISFoNBri4+OpV68ekZGRbNy4\nkc6dOz8SopGamoqrq+sdpVSaNm3KuXPnCAoKYu3atSQmJvLVV1/xn//8B6PRSLt27QgLC2P69Om4\nu7uj1Wrx9fWlZcuWbN++nTNnzqBQKJgyZQqCINCjR487ikYWFhai0WgICwtjzpw5JCYmMnXqVKKi\nohxxCe4LiYmJrF+/niZNmvzhRna5AHh7e7N161acnJzIzMyU2iPo9Xqpu+I333zDggULqFq1qjSB\nMhqNWK1W6f7QrVs3vv32W+Li4hg6dCinT5/mxIkTDBo0iBYtWjz4gf8BdyMcQ7CXP/8Uu3Cc4hfJ\neo8iFy5c4P333wfs/vDyP1hkZCQ5OTloNBpq1KjBzJkzKSkp4bnnniMhIYE9e/bQvn17tm/fTnJy\nMgcPHgTsN8byiBWLxUL79u3x8PCgVatWpKWlMWTIEF599VUUCgWpqamSsCiVSurUqUONGjXusG/3\n7t1cvnyZYcOGVfh+0LGxseTk5NC+fXupfW55Ecjy1ZSTkxO1a9cmJCQEo9FIzZo1pf0gnU7H9u3b\nAVizZg0pKSlSSfDy3I3MzEw++eQTrFYrgwcPBuC7776T8g0yMjJYuHAhiYmJdO3aFaPRSHR0NC1b\ntsTPz+9X5R7Kyso4ffo0DRo0qFStU48ePcq8efNwdnbms88+w8XFBXd3dwYMGECHDh3w9vZm2rRp\ngH1vZ/HixSQlJXHu3DnJbSeKIhs2bCArK4tdu3ZJ+z1qtZq2bdv+qitlVlYWo0ePprS0lP79+3P6\n9GkAduzYUamFY/HixVy9epUTJ07QqlUrYmNjWbx4MU8++SSzZ8/m0qVLpKenS94Gg8HAkSNH8PX1\npVGjRtJn29PTk6FDh+Lr64unpyeiKJKZmcmUKVO4cOECPXr04MaNG1Ih1Fu3bkmf99vDznNzc9m4\ncaPDrgfchXCIopiMvXLtY8Xts6nMzExee+01wL5J+/nnn2MwGBgxYoQUcpeZmcnNmzcB+4ZkbGws\nvr6+vP/++yQmJtK+fXs6dOjAggULsNlsrF69GrVaTZUqVaQoogYNGqDVapk/fz4uLi6MHz+eJ598\nUvJ/pqWlcf78eerVqyfdMAsLC1m8ePFDuy7lfPjhh8TFxf3pcUajUYrW8fHx+dVNJzg4GL1ez+bN\nm9m8eTOBgYEUFxezfPlyPD09sVqtfPvttzg7O2M0GtHr9ZILb9GiRRgMBhQKBX5+fgwdOlRqz2s0\nGtFoNHh7e0tiNW7cOERRZO3atej1eikZMyws7FfRU1lZWej1ehQKBdWrV//T6Kq6detKSV73wl+9\nnn9GeX6K0Whk8uTJ6HQ6FAoFQUFB0gw4MDBQyswvX+EpFAppL62srEwKFHBxcSE5ORlfX1/c3NwY\nPXo0ZrMZHx8fCgoK0Ov1eHl5SdVdy11aZrOZhIQERo0adU/j+LvX834QHh7O1atX8fPzw8nJiZ07\nd6LRaDh58iSnTp1izpw5iKJIly5diIqKwmQySTW+PvjgAzw9PTGZTLi6upKZmUlmZiYvv/wy2dnZ\n1KpVi+3bt5OSkkJOTs4d16m8Q6jBYCAoKIjw8HBu3bpFZGSkoy6FxF+JqpouiuKHgiAs4Teiq0RR\nnPRALHuA3O2XMygoCKvVyqVLl6TnVq9eLSWK7dixAx8fHywWC7m5uXh6emIwGDCZTEyYMAFBEAgN\nDaWwsJBVq1bh7u5OcXExSqUShUKB2Wy+Izno008/paysDLDPXrZv3y7d5Pz8/NBoNFitVtRqtRTS\nmpyc7JAvZ1xcHBeu/ojZ948TvtQ28McuwlmaQnI1RVgR0ShFqdSlq1XAG/uNOSU/BzfR/nNeiQaX\nn382IlKmsKEt0eAsCDiLAjqrCZefBT5DU4h7+fsMJeiUIhlFWbjaBJxtAuYyHZ4/v56Un41aFHBC\nwGKxcD49EZsAggjeVgUiIipRQI2A1WblXHoi4h/001IXlf7+i3+RuLg4rv14gRDXv+sFVqBWeiCI\nIgaNHhSu2Gw2CtJvYVa6ApCflojp55+drSWoUSHaQC1asAhuiFYTJUVmlIgodUVk/JyYqc9Pw6C0\nR6IZNHmYFXa3nq4oD2fRgk1QoizOxx17Do0lM5eiexhBpl755wc9BCZNmkTLli1ZunQpAwYMoFu3\nbly/fp2GDRsSGBh4R8kQV1dXTCaT9DgmJgaNRgNAaWkpLi4ueHt7YzKZJCEuF/K8vDxEUaRNmzZE\nREQwbNgwnn/+eVJTU2ndurW0sV4Rqkb8lRVH7M//X3yQhjxM4uLiuPBjDGaPuy2jLeIhqBCAbI0Z\nD0GFEhGTrhQnQcQkKsjV6XETrFhEgSKDBTfB3iL2amouvoIJQQBdSSkWFCCCQVQiiGAu1mIUVSgF\nGzk5OZhEARsKbCi4lq0hUGHPLs0pKEQJKATQmywUii6osJGtsRCvyb7ra6Euybvr9/wSs687+V3+\nvG6WIbUIpzITKqMZ3wwtIFBYryouWgN6bxcyqnoh/JgBImQ0rErwzVycS4xk16tCjUvpKC02DEFe\n+OToEID8Gr4k1gnEO1tH6E9ZAJTV8EeVq0NptmHx88S/WE9erQC8YrMRANHDmSJvV1QmK5kNq+Ke\nV4JvhoZSX1e8s3XYVApK/N1xSSoABHJrB6A021AZzfgXlFFYw5fcJ6r85vgCDsf87WsJEOJqZfwT\nmvtwJvvtusis5mBBIF5KC029itmSHYoAPO2v4UCBXTjqeFn5qdQuBg09NfQMSORYoT9nNfaVYbiX\ngZ9K7KpZ38fMVZ0NKwpa+ZWQYbSSanClW5UiGnvevx7a/7vp/bfPcb9WcHq9nqws+2csOjoapVLJ\nTz/9xHvvvUdQUBBms5njx49LgRne3t6YzWYOHz4stX3+8ccfJVf1tm3bAHsVgypVqqBQKFCr1bz5\n5pvS8+UtBcDumr0f3K8V3F8Jx9378//ryp8TBEEBeIiiWDk7rQNmj0AKn3zxrt9X+Bs/173+FdjM\n9tm/kycYClEJIqm1uuJfEAuiDSeLEY3aFRdjMSXuVQkosOtxmWcIXro0BEBQqbAplGC2C1Fs/QEg\nKPAqTqJEk4yrvpDcqs0wuvjioUtH610Tk/PfS6Pxu7rjb73/btAGe4Eo4pFfik+GFqtaiWe2Fq98\n+0w9y2TFM7cEq1qB0mrD6OGM3seVMj93MhoG46Izoa3igXeO3ZesMlp4IjoRUQHFIT/fZAQoqOmH\npqo39Y/aXYb+KQWYXdU46c2YPJyxqpWY3JxwLSoj7KcsRMDirMK5zD5TLPV1RRRAFAR0VTzQe7vS\n4GAsggj+SYW/KxwVFV+1mcHB/190enJ1e900QQBXpY0yq5IwFz1xZZ6YRQWiCF+kVyfIyYBKsKEW\nRFp42kXIZFPQ3reIKC8tOouKcNcyBOFe1hMPh7i4OK5f/YlQ77/3NxNFETVKrNgQ9RbMol0gCrPz\ncBOcEQCbzb5KFACdRosNEX1ZGaLRgigIGNBjw4Zer8dVUGNFQC0oMeeXYhZNWHQG6fdZ9SY0Kfe3\npmuG5v6d7y/vcQiCsBkYhz2S6hLgLQjCIlEUF9w3ayopmWFt8ClKoNg3AovKlYDcGGwKFSqrgYxq\n7ahzYwdqSxkiArENBqO0GPDWJKO26Cn1rIpStOJRkonOM5RSzxD8866h9a6BqFQTnHkev8KbiIKC\nhNrPY3a2p84YXP1+ZYd/3jXcynLJrdIY42+87kictQZqnUlGsNlIbVaNojAf1HozVie7O8KqFHDR\nGhAAldlGYEI+vpn2WbfKaKFKgn05b3FRkRsRgNpgxuKsQpVtF5EyH1f7cYn248wuakr83fEoKEUb\n5IVzqRG9pzMmFzWByXbJL/pZbATA6KbGqlJgUyoQbCIF1X3RVPWm2g8ZKKxWtFU88MopoTjM5+Fd\ntAfE7e3r67r/v3ttbFgKequCHblVKbI4kWd2ZkLYLdyVNtQKkWdU+SgFEVelDQ+llUAn02+cveIR\n6l2F15++f3E8ZWYDa37Yh8ZQ8n/kvWeQJOd55/l701aWr65qb6Z7pscbDDxAGIIedEuZI+XFlVkp\ntLd3F7fnYyM2LvbD3e1GXFxwTzrF7eqkXXFFiUtKFCmKoAFJEN4DM8B4095Ul3eZlfa9D1nTMwAJ\nEn5moP+nLNNVb2Zlv4/7P/+HXUNTnNi6yM7CJJ/b9VG+v/AsB4bneHrtJBudKgnNZGx8guXmJofG\ndnJ88zwTmWF+/YaP8cjSMUzNwA99Hlk6BsBHd91OQjc4PLoLU3t7ablfeOhLb9tnvRFW1QEpZXtA\nyf0W8D8RG5D3tuGQEZMrj5G0y2yO30rfKpLsbdHJThGpBiIK6GSn6WQv91a4iQKl6gly7WUWdn4M\nxyqid2zcRI5d5/4OLeizOnUXbqLAUP0sye4mjfwuNibvACHopUaZXv4R2dYivh7XDoSM0P0ullOj\nmxknUk0A0u3V2OikJxktvwCAEgUszX3k3b9WPwXJpoMaxjnv/FqL/EYcrDbHM9Sn84SaQnMyj+4G\nBAkdJ5fYNhxEl3PIqWpvO+LY2DuCl9SJhEC3ve3Pl0C23CFV69EcyyCQZLdi8kJ9sPFLoDGVIzRV\npBA0pvJ0RjOkqj3Gzl3brlwAACAASURBVMXpOyWIMPqxZ+mlTE58fPqVu+57BIEUnOymGTY8xk2X\nXckez7YNpkyHjBoiBJy3k3y1PIEmIj4/sXrdGI13Akk9wX95eywD9H89FguWXmys8b0Lz3ChscrF\n+hq/e8tnWGisU0zm+Mvj8eTJmt3mX9z7WwQy5KnVEzy2fByAo+N7gNiBmcmPMpMfe/dP6g3ijRgO\nXQihAz8H/KGU0hdCXH9C8m8Qhtsh145nAherpzD8LlrQp9scwzOzDNXP0srNUivuo1R5mV56nCs5\nBOnOGlIIVqfeh5AwuRZTFDPdNXrZKQr1syhE5JsXcawiptcm0CySdrx59VKjVEoHcRN5JtaexPB7\n2MlhFnd+DCX0mF55GCEjLHsLX7PQA4d+ovCuX6efhdZ4lnSlixpE1GaHSFe7aH5EpKoMrcTMHakq\n6P2AZNOhNZZh+cZJ8qstchttGpM5fEsnMLRtwyE1hbP37WbmuRWGF+tI4tqImzaYfnENAeQ3O6we\njmm0kSJoj6bpFpNIVWHq+DoCWD84zu5HL6JEksbk5bx6dziN1e6jBhGtidx70mgAfK9W4oVOHpWI\nz46us+Em2G11uSNX5wsrOxHAfLJLhMCTKhuu+Q/acFyJ+3bezI8WnufgyE6qdnwfCyF4du0Um90a\nH9l1G/tKO1hsbnB0bDd/9PRXaTgdjo7HneMCODq2hyOj81i6wWT2+kiDvhHD8f8Ci8Ax4GEhxA7g\nuq1xvF54Rho7OYxlV2nlZhktxzOGtdDFai4CkG0tYbhtrH6dbGeVhR0fwXA72MkSo+UXEUhMr8PK\n9D30zQJq2MdwO8yf/Vu66QkynVU6mUkmNp4GoJ2ZIlBNFBkihUqpdgrbKqEFcQ5U8x2Gy8dAhoSK\njha6BHqK5dkPY3hdHKt4Va7VT0Okq6zcfDkqO3fvPJoXoDs+Q6vxP5zqBdt1htxmh/LeYWZeiCm8\nUadPpClkNtvUpvOoQUR2s42f0ImUeEOXiqBbSpHZ6tAbSpLZ6tItphi5UKWXt2hM5tjx3CpSQGO6\ngNEPAMhutlEGUU2kKizcvgMpBCPnKpi2x/qhcfrZ678h8LXgRoN0IYIXOjnW3LhgbigR/cFraTVg\nR8ImoUTsS8XRWyAFkQRDec/7j9tYam6SMZIMJePa4o3je7hxEDE4vstcYYKknuCrJ+I5Jw8tPE9i\nkHJquT3qTrxl9gOPz9/4CQxVZzr346KQYRTFrD7l2mCWvRpvpI/j3wJXNgosCSHeO2I+rwVFZXHn\nx0BGIBS8RI50Z5VGYTeZ7jpD1VO0crNoYR+rX8fXk0ysP4Hpd0k4dQLdQvdtAi3BrgvfQkQh5bEb\nGduMDZCnp9mYuA016JPprKLIiECzcKwSnpEkZW8hZETK3mJt4g4sp0ak6AxXYgZPZfgwrpmjk5lE\nqjqOdu1vcIofMvv0EmbPY+XGKZaPTqK7AfWpPGbPx+i5NMez+KaOnbdINh3sQpLiUlyEjXSVZNNB\nSDC7HufvnkNEEf20SX6txegg1bRw6wyFtRaG7WPYPl5Sj0kIEgJDxUvqIKGys0hgqOhuSKgpjJ4u\n05zMka7F+f/CSpPm5PVf27gSZdfg0WaRHZbNR4oV8prPiOEigbN2GksJuTnbouKbCCQ3Zdu8X63z\nXDvHsU6WXVaPP9+YxpUKnxtdZ85yrvYpveN4bPk43zn3JJqi8k9v+0VKqTzna6ssNNa5beoAuUSa\nO6YP4QY+RStHzWkxliny5MrLAFysr3FoZCflXoP3zRxhR36MSEZIKSl36/zVS98jqSf4+O47+Yvj\n3yGIQn7z6MevydTVGymOjwL/GzAhpfy4EOIAcCfw/71Ti7umIBTy9fPofo/KyFEiVaeWyONYRWYW\nvw8I1iZup5udYef5WCJEIaRSPISQIaFqku7GdD7d69E385huk0BLMLkWj4stjxzFM7OkO6tkurGn\nXS3tx3Rb2Mlhcs0FUvYWzfzO7WX1EwU8M87jXy9+n9V0sDoxvbiw0sBq9dHd2Psv7x1h7slFZl5Y\nZenWGS7esYPShRqqH9JPGSR6Hp3hDCKSJFsxjXdouUmu3CVX7tKcuIJlJgStsQzZjTa+pdEcz6F5\nIYGpoTsBvqmzcWCUiRObpOs25d0lRs/FxXXVC+mUUiQbDvXpay/197Ow7CSw1Og1U0rfqY2w6lqc\nsdPMWz3uG6ptv9YJqjzVKnCim+EDhSpf2xrnK+UJjqRbPFiPUymbqRZ2FG8fF+zUPwjDUe3FkXEQ\nhTT7XRK6yV8c+zahjFhtb1FM5lhsbHD/7ju4beoAL2ycZTJTYufQJEuNDW6e3IcqFDJmkiEry1Jz\nk//04gMkdJP5oUnqTpu60+bptZPYfpxdOFtbvr4NB/AfgD8D/sXg8Vngy/wDMRyp7gYT63GTnhIF\ndLJTg9pCBUXGRVlFhoSayfLsB8i2ltD8PuObzyKBxbmP0szNogUuSbuC6TbZHLsZqWjkW4sARIpG\nol8nUuKfJVR0QkXHNbJ0U2OMb8YNiIl+ncW5jwKSTHuV6ZWH8fQ0F3Z/Cqlc+yNWnEKS3lASs+vS\nK6a2C9fJetz0eCltlGzYKEG0XayuTecJTZV0tcvq4XHGT22heiFKcLlZrjGRo59OEJgqoa4w/cIq\noa6wuWeEHc+voEiozA0xvBAzq0bOVkgPvje72cHOJUi2+nSH02wcun4kRq7Es+0c362NoCD5rYll\nAqmQUgPyerD9nmHDZdW1SKkB36iMsuEl+GRpi0PpDi90cvQijec6eXqhGvcneSad4PK9NZXo0wl1\nnEjhaLrFcj9BXgtIKCFPtAqk1JBbsm9HL8q1gw/svJlQRkRRxDdPP8pEtoSqqIRhhACeXYsp9j9a\nfJ61doVISr597kn+i0MfZEdujCEry589/00AOq5Nxkzihj5u6JPSLQxVJ6EZ3Dl9mLrTxgv97cL5\ntYY3ssuUpJT/WQjxv8D2vPB/ECKHEG/ikriYpQYOswuxKuvG+C10U7FHkK+fY6R8jNWZe6mMHmV0\nI97oBZBvnCfRb9LMzzE2YD/l2st0U2N00hN0MlNkOqtkuutIBIs7PoRr5thz9msIJIbbppmbJd3d\noJOdZnz9KXw9hRLGnntctHfwjddQupfyminuRprCwh2z8QMpMWwvpuLKmDXVKaUQkcTouogg2r7u\nuhuQqsee7ciFGplBKslNG1R3FPDNuDlz9NwWUgiakzk0P75FM5Uul1LxShjhmxq6G9AdThGaGulK\nl+Zkjmy5Q3s4zea+66NI+ZPQ9GN9swjBM+08x7s5NBHxO5PLCCCphtxfrHAw3SGK4EvluPZ0rJMl\npQbsSDg0ugaziR6jRp+lfpK85tMNVXYmehxOt7EjlTU3we5kj5d7WR5vDZFQQg6l2jzbiSO0nBaw\nO/nWu+mvFWTNFL9w4D7+9Lm/o95vU++3+cy+e6n0Gtw5fYi/OP5dNrs19g/PoQiVpeYGk9kRvvji\nA0RSsrM5gaaoBFFIyrA4NLKLU5VFUobF/pFZxjIl9pZm0FWNf3LLta3u9EYMR08IUWRAGRJC3AG8\nt1wKINe4iJAhzcI8SuihRh6+kaGfLLE09xE030aJgu0oQUQhyzs+QLq7wczyQwDk6+cZ3jqO6jvU\nC7vpJwrbhe+h2hla2RmSdgUnUWBkUKuwU6NEalxEk0Ih1StTaF7AsYoknSp2ahiEQju3A8PrYLot\nTLfF5uhRpKLTS40RaBZK6BGpBlZvC9Nt0srNMr38MKlemc3xW2gU3z1lXc0NmHh5g0gVrB+aINJ+\ngs6TEGwcHCe/2mTqeNykVtlZxOx5FNbjQuLKkQl0x8ceSpKq2QgpaY9mSFd7qH6IkFAa1D8aEzmE\nBCElfkLHTRlIRVDZWSTSFNRQUpstghD4pkZzMo/Z3aI1nsXseaQasWHKVHq0x+O0lwgjxk6VUcKI\nzb0jTB9bi+szN0xiF6+92drvy9fxpEJaDej48b94IBWeauV5sZMnrQZ8bnSNJ5pDWErAnNVjw02Q\n13z+cnMKgeTXx5b5Vm2MHzWHmU3YTCccHmnGpIt96S7Pd/L4UuFkL8NOKzYO/Uh9hW+SUN6bfuWB\nkTkWmxuMpoZ4aOF5Wm6Xttvjlw5/iAv1dY6MzXNkdJ7j5fPMFSa42FgjkiGWbvL7t/48W706M9kx\n/v1zX6fj2twze5Q/f+EBnMDlhrF5fvHgB6/2Kf5MvBHD8c+BbwC7hBCPAcPA9T3T9FXINhe36bJq\n0KdYO4UWeqxP3E66s07KLrMxfivNwi60oI8WOJQqJxiuvMTq9L04iSF0v4dnpLcpvF2h4Jo5bKtI\n0qnRTxbRA4dWfo5eaoxiPe5uDlUTT7fopCdoZWeYGqTF2plpzu/+R2SbC9tGpl7YjRQKvmbhJoo4\nyRECzWL3ma+hRj4b47cyvv40AkmyVybdi6VI8s2L76rhGFqqky1fatBLEhoq/YyJm0mguQGRIoj0\nmDXSzyaIFIGIJE7OQgzSVaGmMLTSINVw6GdM1g+OMXpmi0y1x9n370KJJEPLlzuXewUL1Q+RisBs\n93GyCSq7Sux6agnVD1m+cYrhizUKAyaX7vgUB3Tg2kweCYS6gpNLIMIIvR+QqvUoXvoOCelanNoa\nWm5ck4YjqUZ8ohR3CXcClQBBXvfZcuPen26o8USzwAUnXvunSxvclatzeiA5IhF0Q43WwOg0Ap2b\njAHVFIkXCaZMm2agsdvqcSDVQUrYYTncmWswnXBIKiHTif6rl/aewB3Thzg6vocwCvk3j8QqtVu9\nBn/y7Dfo+X1OV5ewvT7rnQoFK8Nv3/Rp1tpb7B+Z40vHvku5W+PO6cO03djgnquu0g/izEGrf31E\naK/LcAwkRhLA+4G9xJmDM1IO+u7fg9ADBy2MC4vpzjrZTizLPVQ7g+XUMNw2jlVEi+L3ZNorKJFP\nqJp0M1PkWwuogYsW9Jlb/B6BYnBh1ycZ23yWpF0haVfwjAyd1Dh2egwhA4arAxmS5DChoqNGPq6Z\nJeHUYLv4Leilx2jm51BkyI7FHyCQ1Au70QZpq2Rvi8u9JAqt7AypXpn60Ls7x8POX5buSNXi4nWk\nCjb2jzHx8gahrnLhrrm4g1xXuXjnLJPH1yldrLJy4xROLoFv6UwPKLlGz6O4WMNwA4zVJnYuwdBK\nk/Zwmq35EoofMX5qE6mpNKbyDF+MC75SgObF3m+62iMwY2MVCXDT8WYqgdZ4jsZUAd32CA2VXY8t\nkOi6NMczsbihhG4phdV2MGw/7u24xpHRQj4zEivfll0DVyqMGC6TRp9TdgZDSE70slx0UuRUj5sz\nDXqhxo8aJeaTPTQhMUTE17fG2Gn12JPs8u1aTB/9VGmThBLx1a0JQHJ7rokQsC91fWx+bwWXKLY/\nd+D9nK0uccvkAf7Tiw8A0PMcbM8ZHPd5ZPFFllqbOL7Leieu1210axwcmaNmt7lv7kYOje5ksbHO\n+3YcuTon9AbxugyHlDISQvyfUso7gRPv8JquGtr5WdZkFKeq8jvjbm2vy9boDSiRT8rewk4Ob+tM\nSaFiWyWUKEAKFdOLvetMZ4VQ6PiJJOpgM9ciD8Pr4Jo5Ur0ynp5mdON5VOmT7NdYn7hjex1q6OOa\neXqpYULVZGo1Fjtbn7idQEswtfIoigypF+YRAwMRqgad9ARa6FIr7cczMggZURvev91l/m6jO5Lh\n7H3zSCGYOBFHPSKUJGu9gbRISOlCleJKEymgNjO0zbYqLdQorDQRkWRr9zCJTp/WeA7d8Ui2t+gV\nLEoLNUzbx2r3OfXhvZQuVlEjwAshkttKtq2JHGoo0fo+kaaQXY8bCmuzQ/RzFl7SwLA93JTB7kcv\nonkhzdEMiW68FrPnc+6eXQgpcTMJWlP5a6pm9HoxanrsSfao+gYzlsMfTC1iKJK/2JgEoB3qvL9Q\n58/Wp2kEBo3A4L+ducCfrc8QonDRSbHbumwU7EjFji71GQjqgc7On/C91zvcwOOJlZcpWlkOj71y\n5s2VfRy/cuSjnKutcNvUAbww4MWNs0xmh/mbkw8BcLa2wu7iNBudKndMH2Jv6fKY2JrTZjhVIJ+4\nXKMMovD67+MAviuE+EXgb+SVOsLvMbQKl2/9jcl4M1d9BzdRoJWbo5cZI9+8gBZ6RKqO1VnFMzK0\nczPkWotIIVADl4QXl3+2ho8QqgaRajC18gggWZ+4nVZ+jtmL3417P7QkQ/UzdFOjVEsHmVp9LG4w\n7NeolA5tryfUEggZocjYe5Yo1Ir7QEpqpQOYXoe+mWNm+SFSvTJOokBl7OrOgPat2DNbPziGZ+k4\neQsnm8Do+wQJnUiN6x5Cgp/QCAd1kEBXt9lVuuNjNR0SHZelm6bIbHVRvQAnn8S0WzjZBJPHVmMh\nubRJqCmxIUgalPeOkNnqkmj3Ke8ZYfKldZRIom+2WbthEiWImHppHc0LSdd6qIPIRPdDtuZLpCtd\ntvaM4KVfZXyvM6MBsNpP8GA9VoQOpGDEcGn6Oh8YqvJ8O09KDXClwp5kj6faBjODhr/D6TZPtgrM\nD4zOvNUlowU80SigK5LDqRYJNeKG9HuzH/h7F57m6dWTAOQSaUIZMZwqkDasV7zPCwN6nkPP6zNb\nGGcyO0wQhTy/fobl1iY3Tezllsn92+8/W12m2e+ST2T4ysvfB8AJXD648xa+/NL3OLG1wF0zR/jY\n7ju41vBGaxwpIBBC9InTVVJK+dbkWa8DjG0+S64V1ywu7PoES7MfQSIYqRwfdIW3SfU2kYqCnRyh\nlZ8j116K5xKEHr30OIoMt6MDNfLJN86DjKgW96GEAUPN8wA0C7txkiUynTX6Zg7d69DOTNG3hhhb\nfwYRhTRzcwgkCbdJyt6iPrSXifUnybZX6CfyaAMOuOm2rxnPOEjobB64zEdfuDOeKaD4IUokUcKI\n4YtVfFNj8dYZDMej00ojBUSq2O7yHr5Q26bP9kppznxgN8WFKqXFuAaxcsMEQUJn7qn49yosN7bV\nd4cvVGmPZshvtGmPZEjWbVQv3DYWmheydmSCVK1HZVcJL21ed0q4Pw0pNUQTEYGMJf1/MDAiEkEv\nVLngpFh0kvzcyCY1X2d/qssz7TyPNIsUdRddRDzXiRshD6XaOFLDCWE84b7nqLdXQh9Q3AWCx5eP\nc7KySMZI8l/f+bltIcIgCvnqie8TSclau8LhsV08t3aa26cP8ds3f5pISrzQ50vHvoMTeLxv+hB/\n+VLMzDw0umv7uwSCIAo5sRUrGB/fPH99Gw4p5WvwPGMIIQ5KKd+TaaxQjbuxI6EwvHWMbGeNdnaa\nenEfCaeOm8iR6myg+za51iLV4UOc2fdZSlvHGa7Gl2Rl+l7qhd0YfpducpSdF7+NQKIHNhsTd1Bo\nXiBSNNLtFZLdLarFfST6TQqt+AZyzRx6EG+YnpmhVjrA/pPxBLxMewU5MA5mv8XKzL3kmxdp5eeu\nCaPx0xDpKhuHxhl/eQPNj9B8j9JCjdJSAwks3L6DSFXIb7SJVIXGdJ5MtYsSRCAlufUWdj6JpIFU\n43O16jaepaM7Pu2xLGokSdVtegWLTLVLL5egM5xi55OLAFRmh1DDiNpcETdtvicUcKWEHzaKbLoJ\nPjRUYdT0yGk+vzOxTCvQSasBJ3sZIgRZzWfBib1nN1L4ZmWEemBywUkxnYhz9TXfZMfgWEGyN9Vl\nuW+hKXKbcutGglagM/Ie07H60K5bGU7lKVhZvn/hGQA6ns2PFl/gbHWZ980c4ej4HgpWlprdopjK\n8+jSMSIpeWzpGMVkjqXGBnkrzelq7NBkzeT252fNFL9y5KO0+z0WGmv84ZNf4eDIHEvNTe7eccNV\nOeefhbezW+yLwE1v4+ddM9gcuwk7OYxr5phbiMe7pjtrdNPj9NJjVIYPk+msknQq9BMFppYfRgsc\n2rnL88HDgRRIuruBZVewUyNxOskqMVJ+AdfIsDZ5J7sGn59tr9BNT0Bvk1Ax6CWHyRlpkOBrKSZX\nH6eVnSHRb1AbPoivJSnWTtPK7aCbnaZ7hVrv1YYShETaT8/VtiZy5DbaBKZGNBjPKoh1pIZWmngp\ng5Wjk0yc2MTJJmiNZZh6Oa6bbO4d4ex984ggYv7xBZRI0h5Jc+GunShBSGG1QaeYREgwnADDCXAH\nzCgAP2lQnr22ZOjfKjY8c3sI00ONEm6ksOYmuL+4xb5Ul5pv8NsTyzzdzvNUM05D7Un22Jvq8nQr\nTz0wyWk+78vVcUKVSbPPR4cq7LJ65PSAEcNj1nL40sYkf7I2w6dLZb5fL9EIDG7LNvhwsXqVr8Db\nB01RuWliHwCf3HsXP1p4gdnCOA+cfRwJPHjhaVShMJEpcdfMDdwwNs83zzzKCxtn2Tc8y1df/j4S\nmM6NktAM/DAgpVscGJ5jPFOkbrf5/oVnuHlyPycriwCUknn+x3t+4xXr6HoODafNVHYEcZUdwrfT\ncFzbru3rhOG2CbTEdk8FAIpKOz8LQHn0Rgr1s3Qzk0ysx70ZaujhGRl6yVF6mYlteXMp44J2trlE\noXYGdcDSUqOAVmYG2yqChEw37l9IOTVa2R1k28t0slMYbiem5+Z2sGP5R0ghWJr7KFMrD6P7NpFQ\nOH3gl0HEG20vM/HjJyQjdK+Hb6QBidlv4pnZd63DfObZZbJbXaqzQ9R3DJEpd+iMpPGSBqlaDzeb\nIDA17KEkpz8Ss74UP0SNIiJVwei5KJEk0XEpna+SGqSp3NTl3yfR7lNcrNMpvZIaG2oKpYUqqWac\nuqvOJohUQWBoVHaXCBMaEkFj+pURhu74BLqKVAW59TaBqdIrphhaaiCkpLZjKB7BeA0jpwWk1IBe\nqDGkezzTjpvyXupmeaw5RDvUuTHT4rydoi9VXu5luScfy4scSbf41bFVCprHk+0hdlo2N2Wb/PHa\nLP1I4ZdG4/t1tZ9gw4sdohc7WRpB/Jusude+XtobRd1pU+01mS9O8ctH4pEFZ6rLXKivMpsf529O\n/jBm5vV7rLbLnKoscv/uOzg6vofTlUXc0Cdrprh7xxHCKOI/D2oamqJxvHwOgBPlCwwn81TtFgdG\nXjke1vb7/NGTX6Hn97l7xw18dP72d/X8X423c/d4UwVzIcT9wBcAFfgTKeX/8arXTeDPgZuBGvBL\nUsrFt7TQ16jtF6snGd18Hl+zWJr9MMXaKXw9SXX48HbKp1HcS6O4F83vMVQ/ixIFREKhNEhJIQRO\nooDu23SzE+i+Q9qOPeNqcT+emSZQk4xvPoMAWtlpAtVECoVICDKdVfpmDjX0tw1KqBoIJEJKEk4V\n18ih+zaekdk2Gq+F2YXvkbQrA5ZYSK61hJMosLDrE4Nzems8h5WVFfRG7yePTZWQDeJIo7BYI79Y\nQ0MwcnoTT0gsqRAiaSoR2UghEJKWIklJQSTAUSRhCCEKgQBZbiBRkEByuUYfcBVIb7TQEAyttair\nIboi0LfaHPr2KRwRIS9Vl1YrbAH4AflHz6JK8AVMLJZJRQquiCnP2Shel61IMlF8fTsi2p5Vnjqz\nga3++HXTGz1WWHlL1/PtQkoN+b3JJbqhRlH3aAcaq67FoXR7m05b9gyOZOLC96FUh6daQ3hS4cnW\nEPcNnefxZoHn2rFRtUOFVhB3pJ/qpRk3+/RDhRHdpR1q3JJtMZnos+gkubdQe811XY/ouDZ//NRf\n44Y+d0wd4t65G7E9h984ej9dz0FIwUJjnZ7fJ2MmeX49HlX71MoJup7DeKbE/NAUjy+/xImti+wr\nzXLpPy+fSDGczFOxm+wfnuPOmcP0fRcncJFS8tjycZ5bO83BkVl6g9rlZufqX9+rKmwkhFCBPwI+\nAqwCzwghviGlPHnF234HaEgp54UQvwz8a+CX3ux3PvDAAywsLDAkFBpR8ArPO+5/iHs4hreOkWsv\nAxBoSTLtZQLNYnPiNky3iURwcdcnMNw2tlUi1SujBw52aoRWbo6dFx5gevkRKiNHkEIBKdECl2x7\ncSBREt86Uqh4eppQM0l3N1FkiOU2B3M9YqmT+tAetKBPpOp0MtNYdpVuapz1ydjrMJ06llOjnZsl\nUnUyrWVKlZfoZKa253qkupvbdZBEvxEbkcYCoyKepRwEAZr2Nt8OArpKhBUJuookFV320tVBgKoA\nqUhBR6BLgYwikvIS0yokfWnjViIsKegjcYUkLy9JgUc4iiQTidgYhQJPAYv47wwp2NIikJALFUwJ\nXUViSoEhBT4ypgYTP3YHI2ZUBOqVDoaQ2zZWXtvBxjYsNcJS4yj3F0cvz6MPpeCik0JBUvMN/unU\nInk94IGq5IVOjjmrx9e2xkipl7StJPPJHlu+ST9SOZzu8J3aCC92cphKyB9MLZJUI3Ymbe7KX7tj\nZN8sHL+PG8YtaxW7wb994sv0A4/7d9/BqcoiS81N7t1xFF3VafY77CxMsNDYYOfQJI8OJvvpqoo9\nGIvgBC7/+KZP8djSMepOm1+94WN86+zjPL58nIKV4dGlY6y2tzg6tpvj5fNEUvL02ik+vOs2Vltl\nPrTr1qt2LS7h7dwp3kxF7DbgvJTyIoAQ4q+AzwBXGo7PAP/r4PirwB8KIcSbpQR/73sxk8EQEcMv\n/y0Blz12lwhDKAQoiOY6xPs9+bVnSA5kufT6EmklQEpoSoOUCFCQtKROWigUyy+R3DyJqsT/dOny\nyzgIAqmQaS6gCEm2u04nUtGQGM1lkiIWSexGGqGIPex09QwuCq1AZeLigyRERF+qjDW/SVaJb+Kx\n03+Pg8awcFAEFNaepSVNSsJBExKr36AT6ZgixPaC2PMWCn2pUnj5GwyJPkKA48TGY3r6jddFpqen\nWaFP9SOHf+LrV2a6ja5LbrNNezSLkJLShSrdUgohYeLlDXxLpz2VJzkQNfQniyiDrm51dIjUYCKg\nO5oh2uqiRBJvvECqblMbTpHoeqTqNokonvSX3erQKaVJOx6t8SyJk3EjnGGZKH4IXoiiqTQncxSX\nGjjZBOsHxhg/KuXNZgAAIABJREFUXcbJJdjcO0JpsU5gaDRmCmTKHUQUxbPTf0KOufS9l97UNXy3\ncWuuRVIN+Xoldk7yms9HilU+XtriI0MV/nR9mupATv1Xx1ZJKBFjpsueVI+H6iWeb+doDKIPN1Jx\nI5WkGl3NU3pHMZIe4tN772atXWG2MMGFetyQutjYYKkZG+Rz9RVqdgsvDCgkMvzLD/w2rX6PU5UF\nbN9ltjDB/uE5LtbXuXF8N47vcrYWR6cSybnB8RMrL7Hajh3YxeYm+0qznKwssK+0g3tnry61/kq8\n3s7xMQAp5aYQYhi4h7hzfJtFJaV8M5yxSXhFbL8KvDp5t/2egbBiCyjyyj3pdePWW2/lhRdeIAwj\nLMVHIOhIHYsATUha0kQjwhQhzcjAR0EnwiJ8RVJHCDBliDHY9JMEmINjnRBHqiiDJIklIhDQi1Qs\nQjxU0iIeydmXCnLgzCpC4qISSkFmYHgsGWISf65BiI3GJZMpB89d2sKUwQpdVDQCvEG7sytV+iik\nCAlR6KORwkcgiaREVRQmJn5CfeRthpc2qcwPbz9evXFq+7g9miHSFKQi8JMGoaHipk2SrT5CSpqT\nOXLlNkoo6ecsKvMllFAy+dI6huNTXG7SHGhLhYbK5v5R1o9MsP+7p1GDCKvVpzGVJ7PVoTpXxEvq\nFFbjORu9oSSt8SxOzkKqChffdzm/fOV6O6M/lVh4TcEOFRJK9JqlmBHDQxcRvhT4UvDF9SluyTXZ\nn+oypPtUfZOsFpBUAx5ulBgxXIZ0n6cGtZKb0k0KGZ8p06Gg/7iAhB8JNjyTMcN9Twx6unXqALcC\nkZRsdKpU7SYfnb8dSze5UF/jrpkbePDC03hhF0s3+cITX6bj2nx63z28XD7PE8sv8Yk9d9HzHb54\n7NuxmKGi4kchs/lxmv0uG50qN47vYd/wLCfKF7l7xw3sH57F9l1SxrVVN/qZhkMI8fvA/xwfin8N\n/GPi7vH/XQjxb6SUb0VW/Sfd1q++y17PexBC/B7wewAzMzM/9geX8NxzsWKtqsYbKYA7NEu2EfdR\n+LlJsp0VhIzopUZYn/swABW/R6ToRIrGyOYLIAT1ob3sWHwQNXTZmr6HkfIxEv0GdmEO021THdqN\n6baxqieIhEJr8ma2rAKRorHz/LcAiV2cZ3H0BrKtZSbWnwKgUZgjai3FNZDpW/DtLSynQSu3I+7V\niJI0CrsY33wOgaRa3IdUNBpDe1Ain/zKozgI2tlpRrfiUNkvzJFpxLpYXn6KzECk0ZUq83OzqOrV\n7VANzcu3YreUIlPp0k+bXLh7J2bXxU/onLt3nqHFGmNnthha1jl/907aY1kS56vYOQuJpDZToLKr\nBEKQW4+bA9N1G7uQZO3IwDhGkokTG+hOQKAr29IiW/Ol90TfxkP1Io+3hpgyHX5tbJWKb1LQfUzl\nclQwbHj8wdQibqTw79d2ECGoVuPejfuLZRTiKOORRpGzdpqzdppPFMuDuS+CKavPoXTnx773jJ3i\nnnydZ9t5Vl2LSdPh8xOr7/YleMegCMHH99y5/fjnD9y3fTybH2exuYGUkr8++UMATlcWOT+IUB5f\nPs7aIJpYa1f4r+74HE7gMp4pcfv0IcIoQh0wCu+auSw9cq0ZDXh9Ecc/Aw4CFrAEzA8ijwLwQ97a\nPI5V4MrYfgpYf433rAohNCAH1F/9QVLKfwf8O4BbbrnlNV2cw4cP89xzzxHKmBgjgL6ZJxIKiozw\njVTcuCcjpFDYfeZvUKKAlZn7GN46juk2WZ+6CxGFFGunWJ79IL6WxPB7LOy6HyEle099GUVGmBst\nzuz/LE6yiNWrMrHxdDybY+fHWJ79IIbbRsiA3We+Ti85jEQgkIRqgkZhN+3sFDPLD6NGPs1cXFBL\nOnGg5dlblxsKQ49Mc4Fcc5FuepxEP84zO9ZliqlnpJFCQcgI18zha0n0wMbnpxfXrwZmn1nGavfx\nLJ3WeJbhizXcpMH5e3aS6MYZUcPxKZ2vUFpq0B5OI2REYSPeyOqzQ0yc3CRb7hBoCuffN0c/m0Dx\nQ5KNWF330pzzkXPVbWmRS13i1zvO2jG7bNW1+GZ1lBO9LAXN45OlMg/WhxkxPO4vllnsJ0kqIZNm\nnxXXYtx0afkaT7fznLaznLbh8KAbPKGEdEOVcSM2GJeMxvdqJc700tyWa/D4gP77cLNIL4wdkYp3\ndeRu3g1IKXl69QRO4HHXzBEyZpIDI3NEMmJ+c4pmv8NdO27A9l1WWmWOju/h0OhOjm2e533Th8lb\nGfLEUWzNbmGoOpkr+juuZbwew+FLKW3AFkJckFJuAkgpG0KItxqDPgPsFkLMAWvALwO/+qr3fAP4\nPPAEsRrvD96K5MnnP/95HnzwQZ5brtHd/UFEFNJPluilxzD8Ht30BM3CLiy7ihL628qyhfo5Unbs\nLRRqZ0h3N+Lu7X4DiSBlb9HOTrM6837s1Cjp7gZ9a4j5s18HBN1BsVsQzyjPtpbpZsZJdcuokUe2\nu8bFnR9DC/pMLz+8PYNDieKUlRa6NAbihwC10n58PTWg5WqxwGHoxlGRUIkUjXrpAJ3cDiQCOz1G\nLzOBFjj00uM0invQPZvUuR++2Uv5+jBo0oO4V+P1NCSqgxkaqh+SGszcMG2PVKUbq996Af2sRaba\nQ4kk2UqXxmQsOBhqCkQR2mCioBpG+EkdFMHORxdJdF3snIVvqOheSGc0g5sxSVd7lF+n0dBtj+Ji\nHXsoGdc73kasrKzQtlX++OybF1D0RB9FVdEjj9NdCwQ0AoO/Wh8hUEw2vQSnWxqeGm9SqaBBUnpc\nlFn+yJ5Fj/oxx1FKFhohpuiiSo+HmyUANms6z5TjeR8tPU5dfb9WRJMegWLQ6wdo0iZSLPTIedPn\nsm6rdFeuDZbaT8LJrQX+/myspu2HAScrCzSdDp87/GF+88ZPbL/vd2/5R4RRxPn6Cl95+fsMWTn2\nDl/u8Tq+eZ6/PvEDdFXj9275eUbS1/7EyddjOCIhhD5Qwv3kpSeFEAl4a+7qoGbxz4DvEN+qfyql\nPCGE+FfAs1LKbxBHNF8UQpwnjjR++a18J4BhGEgEbuLyD+Ql8niJmHromTk8M4caOORbCyhRQLV0\nAMPvYvabtPJzWE4VLfTwNYtsO765k70tJlYexXSabIzdjBIFjPbiVFGgWVRLBwk0k3zjAnpgU2hc\noFo8QLF2im56gkL9PKGaGEQGIaGWoDJ8CMPv0UuOMLv4IIFisDj3UXwzw/j6M1j9Op30BL6eJFQM\n6qV9VEZviBlUQsEzL29sbiKPS3yOkWriWibvtCh4fq21PWdDhJJk00EJIzYOjg1mgceFaxFJNC/A\ntwyWb5oiv9aKn5eS0bMV+hmTHS+sIgYzwsv7RiksNxg/uYmdt6hP5WhN5MivNtn96ALdvEVtR4HA\nUJl7YhG7YGHYcbSi933OvX8eNQhjLS0pqcxLIk1Bd3wS7T7dUgrNDchsdemMpEnXeoycrdAey2B2\nPdK1HnKxzpkP7iZI6O/wVXxjMKSLMZDp9qVOX0mhSxeBJMB8hfwNxDIX8f0iBo8jjNBGlz59NUWg\nGLgyRJEBkdBQZUBHzRMhUCOPUDEwoz6JqIcMxXatzQjfWx3kr8YluRGAfuBSs2MH6aXyhe0Jf/uH\nZ3EDn7bb49jGObwwYLNbY7W1haaorLTL1O02kljrqtyrv2cMxy8wqClIKa9MVhaB/+6tLkBK+S3g\nW6967l9ecdwHPvtWv+fNINQsFnZ9fPvxlceOVSRpV2jndtBrLpBvXqSdnWFsMN4111pifepOhurn\nQIBlV0i4LTYnbqWVnyNRfhHbKmG6TepDu1GikELzAgAb47cihYIaOIxuHScSKiIKYrXesE/CbRAY\nSRL9OGNnui3O7f2Fd/HKvH6IK4LDVN2mMIg+Ql1haKWJkHEDX2aru11n0Ny421sqgurOIo2pPKGm\nUBwMazJsj/mHzxOpCis3TjHz3Aq7nlpm5YaJ7QbBdNNh6Y5ZZp9aJNHzSPQ81g6OkWrYNKbyFJfq\nqF5IdXaIuWeWMez49bGzFTQvjFlYLQfT9nEXdUCguwHFpQatQZE8Lua/vam+6elpGvYaf7DnrWs/\nneim+WG9wCHL5uOlLYSAblglIeKpis+082y4Jm5kcEeuzstdcKWCHSqsuUlUJSSvBlR90BXB/cUt\nVvoWRd3j+404OrsjV+fufB1DkZRdg/NOigOpLoUrxtS+Wfzx2RyFa5ilNl+c4jePfgI38JgvTlFz\n2tTtNppQ+OaZRwH4jRs+zt+ffYy60+bw6C6SeoJSMkfByvCHT36FUEbMD02xtzRD2ogNzfWAn2k4\npJTLl44H7KrbiA3JM1LKB9/BtV2zUEKXmaUfYnjxrGwlCogUjX6igJ0cxhrM2pi78ACONUx59Ci7\nLsZa/UPVU9RKB1iZuptMd5188yIAjXwsdHbJSOhhH80faAPJkF56DNNrE2hJ1MBlx8KDtLM70AOb\naunAVbgKrw+Nqfw2laGfMchtthGRxLMMLiU6dcd/RZ3BavURxIOSUnWbZNPBS2isHhrHtD2IJLnN\nOMee3WxvsyesVp/2WIZUtUc/m2Dm2eW4Q73h0E+bZMsdlFBi9DxGz8aUX80LMHuxZ5wtdy6r4zr+\ntjqvEkoa0zlGzlfplFKs3jBBu9zFySUIjWtT9hrgiVbcIf5iN8dkos+JboaD6Q43ZNpUPZ09yS4P\nNeL0kxsp/NZkHDn/6Vq8WftS8KnSJid7WUYNl29Wx5AIdlldLCXEl4K85vNEq8D+ZIcvbU7hRCon\nuxn+ydTya67r3cTKygrtZosvPPSld/R7Lm2EKnCmvLj9/NeO/4CujO/tU+UFdKGy3Crz/zzxVcIB\nW3K5vkFGtahS54/KX37H1rja3KKtuG/LZ73uPg4hxO8C/xL4AXGq/v8WQvwrKeWfvi0ruY6Q6De3\nZ2/kWoukuxsAqIHLyo77UEKf8Y2nUaOAdG+DLXkExyqScOp4ZmZ7xGwjH0u4h4pOrXQAOzlMoCbY\nsRK/3k5P0sjvwjfSKFGAEgb0cqOMlp9HjQKifoPTB3/lXT//NwQhaMxcDr3PvX8XIpR4aZPQUDF7\nHpVdJXxLJ13tsbVnhHSlS2G1SW12aLs+ovoRVssh0XWpT8cRSKQIQk3QHk4TmBr5tSaaH9Eay8RG\nIpIEusKpD+8hu9FmcjATxE1enh9v5yxEKOPPnR3CHkph9Fxqc7EcTG6zTWssizuYJCgHMvCtyWt/\niNPBVIctz2Q6YfOj+hDdSGepb7HpGjzXKTCkeeQ1j2ZgkFYDvrY1xpF0m88Mb/JUK8++VJcNz+KF\nTo4Z00ZBEiIwhOTOXI3ZhMNflmNjcaKT4ZKHcI3rar5t8GSAQKCLVzoPljAQCHwZ4hOSQCcgxBLG\nthHxCcmIBCERpohTnYEMaUex05RVLNSfoQpxNfFGGgD/B+BGKWUNYDB//HHgH5zhsJPDscCg26Ra\nPIDudTG9Dr6eYv7s38Z6RsV9WHaVvlVgpPwirpFhcfZD5FpLFBpxSirQk1SLB2jm55hYf5KkXaGT\nHt9meEWqQagZsXDi6qMoUcDw1jF66XEynTXs1OhVvhJvHJfmcwA0py8blPK+UVoth/x6XNvY3DdK\nutajV0iSqXTxkgYTJ+ONPzQ0Tn14L6NnygwvxOm6pRunKKxdHgfr5BJxpJG1yG52MByfUFMQkaQ1\nmac+O4TWDygt1jA7LmuHxxk/Uca0PWo7CriZmAK5lb1MhbxkNK4X3JptssvqMWJ6fLU8zllbZ9Rw\nWXVjJdx6YPD7kwuEKPz5+hSeVLnoJNmf7PJiN8eGlyCSAl8qXOin+ezIGt1Q48lWgVN2hoziow7C\nRl2RfHZkjQtOkkmzT9XTKRlXf0Do9PQ0rcjkv7nv1Zybt4YX1s/wtVM/AuDXb7ifutNGEQq3TO5H\nEYIXN87GA5wk3DF1iFPVRbquzZGxeU5XFjkyNs+n992D47v87akfEUYRuUSaZ9ZOIoH79t6yLaz4\nduELD32J3PTbwxp8I4ZjFbiSuN2Ba0SY512A4baYXHmMUDVYnb4bz8wR6Cmc1DALuz6O4XVI2LXt\nEbNS0Th98FcYW3+GoXqsXdNNTxApOpXhQ0RCo1Q5EU8AtLewnFh/xuo3WNh5P6bbIl8/T761gOQ0\n7ew0ufYynewMa5N3Yvg9QkVjbP0pfD1NKzfL9MrDSKGwOn0PgX590PquxMxzKxj9gPxqk85IhsJa\nC99QOXffbkQYMXyhiu4GBLrKxImNbQkVCZg9N24iVONIRO/7LB+dBAkzx2Ie/ebuEs2pAtMvrpLo\nuFTniq+YH24OiufJhnNVzv/tRCjhP2xMs+WZ3Jpt8PMjG2x5JiXdY81N8EijSFbz+XJ5ipmETVH3\n2fBUirrPcj82LGUvwQcKFR5pFtlp2TR8HU8qRIPkYIjgN8dXuegk2ZPskdUCIgn/cWOaQCp8ZniD\ng+nu1bwM7xg63mV15ZfK5zm2GfeBaYpKJCN6noMiBJGUCCFo9QdpbSH47+/+Nf721MN88cUHmM6N\ncmqgiHvr5H7ShoWlmcwXr93aDry+BsB/PjhcA54SQnyd+H/1M8DT7+DarikU6uewBsXo0c0XtgvZ\ngWpsx+b1wm6SdgU18kh3Vik0zlEf2oNEECka+eZF0r1NAtXk/PynKFVfBgkCyeb4LeSaF6mVDhDo\nSUy3hVTjnydSNDYnbmdj8g7SnTX2nfoyrpmnnyhsr8NwW9vGJ9tapH4N1z1eC6GuQj8g0tRtBpTm\nhQwt1LDafZaPThINGvYUCU7aYPXIBCKKmBxIrLeH0xQqg81KUeIaywCRpmI4HqmBYbAaNk7GxOx5\nNKYL2EOpOF22u/Tunvg7ACdU2Rr0UCw6Sb5anmDTM/lkqcx80mbWWuU/rk/RDHSa3RyfKm1wxs5w\nUybWYXu8OcRswuaCk2LccNlp9bbFEW/JNkgoEXuTcZd5Vmvzlc1xNj2Tw+lOPCgK2HQT16XhWGpu\n8nenH2EsXeQDO2/m66ceJqEZ/MLBD2zPGr9z+jBu4GOoGind2jYcC411jm3Garef3PM+zlZX2OxW\nmc2P03FtpnNjHNs8z4mtuLaZNiw0RUVKycGRXXx63z2va42tfpc/f/EB/NDn1274/9k77zgp6vOP\nv2dm+97uXu+FA46Dgzt6OUAFLEiRYjeR2FvAJHbjTxMN+UWjRKMmGo2AEbGiUlQEKdKkw3H0A47j\net3d297n98ccoxiT6E/kDuPn9eJ1u8fM7sz3dueZ53k+z+dzMWlxZ9YW4JtkHCd1Fo51/DuJJaf/\ncDofRm8zUY2ekP7UGrbHkkWCvYKYqMVnTiXeeQwB0IXcJHQ0uGOSjvqcUVhcNeRUK2msLuSm3ZYL\nCOg6+iJSNERS22F8xhRCBhv2hJ7kVq9DH3LjDrlJbtmPMWAnpDVTl1VKRGMkq2YjEY0eKRpClGMY\nA3b8JuUCJwsi3rhMlRbsNXfMjETDynbGpDMmo/5dcGJYHnHNbrzJcYjhKCmVrfitRjIOKRpTmlCE\nqmF5RHUaxGCEqE6D2e4jrJOQhS/sZyNaCU04SlQSSatoxpUSR8isI/1QE2GjFp/NgN4TwpGbgDvd\nqrokuoHWHmd/0ACI00Q5N76No34zfUxuVjsU6ZSdrniaQ3pCMZECk5e6oJFMfYDP7Ml4YlpqAkZu\nz65ibGIrtQED1QElc03QfkGtTdSGGWBx8U5jJvVBPSNsDo4HFGJ3a0jHQIsTf0xiuO3sFDzceKKM\nZq+DZq8DGZkqp9LD3N9USY4tlUSTDa2k4cKewwBlEFCn0SKJIg7/F0UZh9/NEbvynRyWVYQz4GHp\nofUdciMaonKUgqQcfOEAAgKZ1n/+7LX52mn1OSlIykEURKKxGK0+J8cd9bR4lfXd23SUtLhh3/ey\nnIJvwqp67EwcSFdAQtthMhq2IwsilT0mIEVDRDRGQnorAUMCR3teQlRrQhYlQnobghxFE/argUMX\naCf3+Cpctm6K7WvYR0zUkmhXpD5ak/oQMCYR1hhVKZB2jR4R1GZ7nKcBTYeKphQN0R7fnbTGHcR5\nGzpeowhjwE7AkEhT+mDc1hzCGiMhQzxuazZCNIIh6ESMhsmrWoXR34bXlMqJ7hed4dX8ekihqOLa\nl2AkYDvVszmi13zR9zBqqR2QjRiJkXy8DW0wQtigNNArR3TD6Apgq28noVbpa9QWZwACvgSjMg9i\n0GJqD2BwBzG4g7iEOEQZ9L4wVUPS8aR+SXfqS91cISajdwcIxunPup7GVzE6wc7oBDuhmMB+r4Xm\nkGLOdJJJdV5CKzdnVhEnRXmjKRtPSJkQn1eXiyuqpcDoRtdB3R1oaadvnIfGoI72sIZDHjNVHUGl\nym8iU++nKaSn2OI6K7OML6MwOY+K1moSjFZFZLD5OBpRYn9zJUsOrSfHlsbw7L58dHgT3RIymFBQ\nSnnjUYxaHZN6jQaUzEMQRfSSllA0QlpcEtvqFO3W9oCX/uk9CcciNHnsHG5VGGhlDRXEZJkTzgbG\n5g/GpDXw4rb3CEUjlOYUM6FXKW+Ur+BIWw05tjRshjjC0QhFKd3P+Bp9G1bVWr5GI0qW5XGn9Yg6\nEbqgIq8gyDESWw+S4KwkJog0ZI4go34LIHAi/0IsrhoMATtN6YPwmdOolhRWRHbNBsRYBKO/jfrs\nUqztJwjpLB3C3QACUUmP25pFSut+xFiEoN5KVNDgsmSjDftwWbIxapSSkxiL0uvQItyWLLXc5Uzs\nQXPGF0aLJ+XXQemr5FWtxuRrwW9MQh9QLqr6oPP7X7xviKw9dVhbPEQlgbriTDIPNBKwGDgxJAdN\nKEpUKxLTSEjBCLIoENNKHB3dHZPDR3ZZHfENLtryEmjom4GxXSk5RSUBKRwjZNaRdqQFW5Ny4bLn\nxGNy+vFb9LR1S8TgChIya5GCEbL21NGWn0TAagBZRu8JETJpydtZQ1yrF0+Siarh3TpxpU4fdKLM\njVk1xGQ4ETCxq8M33B7W8oqjG0YxytXptR0BIMDCRqW+7o5q6W12EZVFErVhjFKQJc1p+GIazGKE\nXIOPhqCBgVYlqHQRe/vvjH5pPciISyLNkoRGlOiemIkkSjy/+R0AatubkWUZfyTIwZYqDBodFW3K\nxb9HYjbuoI8jbTUcaavh0qIxbKs9wEcVGylO7UE4FiG5w1oWYEBGL0RBQEDArDPybofBUyASYkJB\nKaGoMg/THvAQjkao7lDjbXS38sjYm8700qj4NvWLe7/02ABcBnz3KZ8uhNbUYkQ5QkRjQhNWml+i\nHMPkbUSUFc611VlFkv0QAHLTHgKGBHRBF83pA/EbkzrsYBPJqtmolJR8bRwrmIw+4CCnRhkK0kT8\ntCUWYgg4cFly6FH5MVI0hD2hgLSmMkQ5SkBnwxBSqKhx3kaO9JqGydtEcss+HIm90IXcJLXsx2Xr\nht+UTHrDjo5goeyjC7qoyxmNzXEMZ0LPM72U/xInZyMEGRJqnWhCUXUqO+V4G2G9hoY+aWSX1yML\ncLw0H2TFYEnq2FfrD6MJhGkqTMWbZMbc6lHLWY7MDoVcjUhLzxSae6VicPgwuIIcObcHYixG71UV\nCIDBHeTY6O7k7K7F1ujGm2DE4Fbokj+EBrkrosER1pJr8CMIijZbvtHHtRk1hGMiB7xK1uWPSexx\n29jljscoRhmT0EJ90EiSNsjm9iQAkrRhRifY0YsxfDEwSDGuzag75f1+CEHDFw7wwtb3cAW9XNRz\nOEkmG8cd9ZTm9GNS4Sg+ry6nf3oBoiBS724h05JCqjkBAQGNKJEWl4QnpHx2BAS0okaVSXcG3QzK\n6E170NOhSidTmJzL6Nz+bDxRxnFHPWatEW/YT5o5EWfAQ5+UbugkLU0eO7//bB790wtwBNwMPs2M\nq2+Lbxw4ZFne+ZVfbRIEYd1pPp5ORVRjoCFLUb6UOobvwjozjoQCNJEAYixMuy0PW3sVmmiAiKQn\npUVxvpMFEXtCT3ymFFqTiuheuVyh6OrMiNEwQX28KmIoxsKkdKjxygiqpawu5CEmaTs8unW4DDlY\nXTW447KIihKZ9Vs6AlkLAjG0YR+G5j14zGnog+3og+00pA/B7GvGGd8djzUbdxfyHgeo7Z9JYrUD\nb5IZKRTFbPcRsOjRnpQDCUawNLvVAJNwwk5SjRMZaMlPRIrEMDn89F5zRFWzPZl5ALjSrbSnW0k/\n3Ez3zcdpKEwlZ0+90o/yhWjsk0ZEr0EbjBAyKZmiqWPa3OTwU9M/i8RaB47sri/78O/giUj8vS6X\nYEyi1GanNN5BKCZi1UTINSil0HhNGFdEQ4ImTCCqlOX8MUXW3x3RYJIUr5kYimfE0ye6YxIjXJDY\nTB/zP5ejfFGRmoCRPIMfw1nqz9Hmc+EKKvpox9pqWXVsGzFZpsljx6DRUd3eRI4tjfEFI0gxJzB/\n1zJqXc1c2H04OxsO8sqOJVxVfAEjsvviDHhIi0ukKCWfKmcD8QYrSw6tB2B8zxFUtJ5gW+0Bsq2p\nlHU01C/oPpS8hAy0osRL2z9ABvqldqfRo1Qh7H4XNw+Z2ilr82V8m1LVl9v2IjAESD/tR9RFENUa\nacj+Qj45aEgguXU/uTXrqOx+EZIcJSZqsbpOIMUiyALk1G5S9pUMHO9+MWZvI+n12+he+QmtyUXU\nZZVi9LdhTyzA4qpFlKMEjYk0WDIxexrwGxNpTi0hzlOPLuTBFZ9HSBtHcttB4jz1RLQmdCEPIV0c\nIb2FRPsRvOY03NYc4rxNBPQ2nAk9cCR37t3Iv0PEoD1FgfZAugUEAb0rgDYUIWjW09wjGW0wqviD\nd8itC0DYpMOeGkfhWiXoWpo9aIIRtP4Qzd2TkCJKIAobtRg6psEtLV+6wAmQcaCRiFbqKF0FKPrk\nIO3pFnT+MM6seFxZNlxnwXDff4I3qhgsATSG9LxYk4c/JjE5uYkSi9JPs2giRGSBg744xia04o9J\nJGrD7HXRoc4TAAAgAElEQVRbcUZ1NIQMXJ9RjUaQ2e6KJxCTCMQkbJoIFo0yYR+RBZqCOlJ1IRY0\nZNMW1pOp93P9WSqlnm1NoTSnHw3uNs7tNpC6vS0EIiEMGp1Kmy1vOsrovAE0etqIdlQiGjwt2P1K\nqXtn/SF126gcI9OSjDfsRy99oWnWHnBzvKPpfvL3AmAPuNi6bz+9knI56RJq0hooSetJlbOBkV+S\nW+9MfJtS1U5QB27DQBWKret/BU7qQmkiARKclVjctTgSCqjOG0eC/QhhbZy6rS7oJKvuc3ymFLRR\npfRh9LWQ2HYYUY6CIFCbcw4Gf5vqZ57csh+ruxa/oRZBjmIItmN1nSBgUOK1LuzlWPeL0UYDeE1p\npLTsxa+PpzW5L/qgi4DOqlB/pa4luPdvEevQtgeCVoNSlupA1XBFPVSMRNGEokp5yh8mJom05icS\n1+LFnRJH6jFFZj6q1WBrUORHPIkmgiYtmlAUe14i7lQLlmY3niQzebuUC1qkxYOlI9MwO/xUjC04\ngyf+/SNNH+L8xBYaggbyDF6O+xXW03G/ifaIlgRtmDgpQl3HMOBxv4lrMhQxyuWtKex268jQBSh3\nW9ntsVFo8mASIx3mTlE2ORPobfKwyp7CMb+ZdG0Ad4croCtyFn0GvwJBEJjQa6T6/NYh06hzt9An\nJZ81ldspbzxKz8Rsntq4AKNGT//0AkBmbPchuIJenAEPAzN6cdxRTyASQq/Rsq5qN6CwryYUlNLg\nbkMjSuglLeFYhMFZvRmTPwhREJm3axmBSIhd9YeZMeBi2nztDMrsjVbqWqzIb3M0DwCfyLLsEgTh\nEWAQ4PsP+/xg0JQ+CLmpDJ8phZSWfYrybeNO/MZkzL5mYoJIfcZQBCCpZT+6iI84dz0tyf0w+Zqx\nJxaSU7sBUPoPCfYKRDmGKMdoThuAGFOmbMVYWAlCwXaikp6mtAGkNpfjM6eS0noAk7eJlpR+JLcq\nDI3UpjLFQxyZtKYynEmFnbVE3xwxmW7bTmC2+2goSsfe7VQOus4botu2EwiyTNXQXNq6JVKw/hjW\nFg86f1jxCA8qk+BRjYgUieGLN2Jp9igy6kYtvkQT1kYXOl+YlGOK54ax3U/QpEXvC+NJsxAxarF1\nNNtPgSwjRmLEtF1Xh+qbYLhNIUVEZagNmnBGFPfIDU6lb3FNWi1Zej+tIR0aQeaFmjyG2Zx0N/io\nDRgpMHnY5ExERuCY38x93RQ2/nPV+XiiGsrcNiIdBuzNYT1XptVzwBtHicXVOSf8PSDZHE+yWSET\nXFxQysUFpXxw4DNisow3HMCiN7G1Zh9tPhfXD5pEk8fO0kMbyItPZ2BGIXnxGdS5WnD43XRLyMCs\nM1LWqLAsz+/+xXT4vJ3L8IUD5CdkcrCliuK0HvRMyumyg4DfJnA8LMvyO4IgjAYuBP4EvMg/W73+\noKANeYhKeoKGBGryxgJg9NuxuqrxxGUhyErKLgsS+qALKRoiaLCh8/gI6q3EO4+hjfjxmVOpzxyB\nIeDAE5eOxaPc3WkifvTBdtwWxUa1Lak3tvYqwloDLakD0Ia9RDRGpZ/iUpgbNmcVAb0NQ7AdjyWT\niNaIxV2Hx/KF/avNcQxDwE5bct8uN0Wu84eJ67jbj69zovcE0XtDNPRNJxinx9KsSIQAWBvdOLNs\n6pwGgK1BuTDFN7ioGNMTo9NP+qFmgmYdjtwEXKlx9Fmj1IzTjjQjRpRygiYc4/DYAqRwlIhBi6Hd\njyvdijs1DmujC5PDR2teItl7G4hr86ry7Wc7JAEuSVHIA2vtStAQkGkM6SkyuxmQ3s5TJ3oCAhsc\nSRjFKPaIjhanniFWB3vdVgZb25FlcEc1qiS7iMzE5BZ2umz0i3PT3eSju+mHey/pCwfQiBIjc0to\n9jqIN8TR6LETjkWpdTXT4G5jc3U5TR47TR472dY0Fu1fQ7zBwq1DpuELB2j2fjHbIooSJ5yN+MIB\n2vwKqcWmj+ORMTd2uQzjq/g2Rxft+DkJ+Jssy0sEQXj09B/SmYHW00Ji+fv/dhsTYaximKgs0Cbr\nMRIlhoAPiRha5PZGQmiIoYNYjKQOaRGvLNEm65H9AZI71ChtzQcQkJGQobUKTziCRhQI2RvIcxxH\nI8jEZNA4a4gTOshq9josQhiNIGNtP0EQER0xZF87PkRcGNA1VSAToxkDekc93ZxvEpAlEsUO+YzW\no7TL/9qFTetp4Uy3qkImLc4MK3FtXjxJZlIrlcZfytEW2jNsxCSRkEmLEJMxOnwkVjto7pmCLAmE\n9RqkUJQ4uxdvglFhZbV6VXVduygQ1WvwJpgwO3y4Ui2EDBrMDj/tGVYK1h1FkKG+Txq5e+oUf4/8\nRJKP25UGuitIXId5lK3R9YMIHF/GuQltJGlD+GMiq+1Kr8kfk+hl8lLhi6PQ7FFq7R2lKkEGnRjD\npgnzYWsaez1WsvU+htqc9DJ5SdSGKTB5O/ekzgAOt1bzVvlK9BottwyZxoU9hqGVtHhDfuram0ky\n2ZAEkV7JeRxsqcJmsFDvbiESi9Lqc7Kr/jA76g8iIHBRj2FYDXGsrdxBm99FmjmJ9LgkvGE//TN6\ndvmgAd8ucNQJgvAScAHwR0EQ9HxHI6fOQmHhNyvnNDY24vMpQm75cRJer8JGyYuPx+lUmDzJyTYE\nQSASieB0OpFlmXSriWg0itVqJRAIEAwGSTQasduVPkm2WcLrlRAEgawkE253lFAohFYjkRdvo61N\nuZD2yUykvb0dv9+PVquhe04Obreb1tZWzEB8fDxOp1KOyLIYcbuV40s0agkGBWRZJs1mpm/yv5uG\nTv/G63HaIAjUDlQyLE0gTGIHLTcmiOTtVCZtqwdkEbAa6LVeKY9Ym91oghF0gQjulDiaClJIr2gh\nscZJfd90RSlXK+GLN5C/pQqTw09jrxSieg1Ze5UmZFQnoQtEOl7Po2YwUlhpxEtRmahBQ0t+ErZG\nF809U87supxGrLUnUe6xMtzqoMDspdxtpafJS44hQInFTZX/i+FLT1RCBsYmtFAa78Qe0iDIMvkm\nD+81K3+nz9sTCceUslRt0Mi1GXUn21OnoC2kZWt7ArlG/z95kp/NOGavJSrH8IWDbDyxh531hxCA\n6wZO4qf9xzNv1zJe3rGYK/udzwPn/gyNIHHc0UBtR1DRdPi2yMiYdUYSjRaVtusL+5leNAZJFLHq\n45Shv0iEa0ou6rKmTt8mcFwJXAzMkWXZKQhCBopi7lmH+++//xttV1FRwV/+8hfy8/NJSkpi/vz5\nCILApEmTWLhwIQADBw7k008/BeDWW29lwIAB/OpXvyIUCqHT6Zg8eTLr1q3jsssu45NPPqG+vp5r\nr72WF154AYCioiISEhKw2+3cdNNNfPDBB9TW1nLeeecxd+5c9XVXrVpFU1MTY8eO5cMPPwRg/Pjx\nvP22ot8/efJkFi9ejN/vZ8KECVxyySVUV1czevRoJKlza/V6dwCT0097uvWf+gaaQIT2NAveJDOa\ncFRRREOxipUBb4IRU0e2kHZY4cNr/WF0Ha57YkwmbFAyGGuzG1u9S9WisrR4cKd8MSEeMOsImnUI\nMRlvkhlZhJhWUoyZZIgYNLT0TEGWRJr6fCXT6JhuM7d5MbgCOHLiiWm6Zg8kJsPm9gRAYHN7Ivu8\nVppDena44pmVcxxvVCLP4Oey1Ho8UQ17XFYawwaO+OLoF+dmSUsGDSED5R4r3Y1eKv1m+prdJGpD\nbHMlUBzn+qeg4Qxr0Igyy9tSqQ6YKPNYyTX4sWp+GKNew7KLqG1vxqwzYNYpQVcGXEEvMVkm1mFY\n1ux10C0hk79sW4Qr6OGKfufT6nVyzF5HcVoPEoxWlldsJhANMTCjF5IgEqc38VqZ4mU3NKuIBrdy\n47in8Ygqa9LV8G3mOHzA+1963gA0fB8H1VXQq1cvnnvuOQCi0SiZmZkkJydTUlJCUlISsVgMg8Gg\nBg6fz0dZWRnZ2dlUVlaSm5vL66+/DsDbb7/NpZdeSllZGcXFxVitVsLhMFarlaVLlwKQkJDAsmXL\nANBoNLhcSi2/srKSykpF1sTr9XLjjTei1Wq54oorKC4uxuFwMGHCBCZNmkR1dTXDhg1DkiTy8/M5\nE9A6vCR/uvdr/0+QISUiIiKQtK+emCBjjAl4RRmPJJMSFpEQSKhx0CzFcIkCApBS0YyIgE+M4REg\n6XATPiGGBoGY14/s9+ETBETAuus4iVHlIp50tAW/IKOTBSLtHqxOLwFBICLIJB1qAgG8QozsvUqP\nySXGyDveprwuMrETzfCli6IoQ2JEROzY1hYTERCIP9RAu+ZUIQWtwwtdoJcpCooXx36vlb5xLhqD\nijS8VoixsCGL5rCBAZZ2+sW5qPKbsGgiNIbBKoUxiDG0otIT0ooyE5ObOBEw0t3oR0AmEJPINvhx\nhjWscSSTpA2Rpg3yQUsGGkEmz6D0OIxiDJ14ds5yfB2STfHcOnQaAKFomGgsijvo4/PqcnokZjMi\nux+tPifRWIxjbbU4A0q2tafhCIdaTwCQF5/BiJxi1newrIKREFeXXMSmE+Xq+9gMZix6E+FopEu7\nAXb9YloXgSRJXHDBBerz6dOnAwrFTpIk/H4/f/vb3wiFQgwcOJAHHngAAFEUKSsrY8CAAfz1r38F\nUANCJPLF3ZggCPTo0QNRFJFlmfPOOw+3200gECArK4sePXrQ0tLCxIkTGTJkiLrfqFGj1MdZWVlk\nZWV9f4vwNfhPZa5oNMqJE8oXJ15vJBBQymlWJIqz86irq1OyM42Wkbm5AIRCIWprFdpskt6M369k\nEGaNgVgsRjQaxYKE3qjH5/NhiEIsFkMQBBI6ArLRaMTs96vvZ7PG097eDjIkmW14PMp8R54tCZ/P\nRzAYRCtpGJGdo/4NQqEQoVCIlhbFLTDLaMXrVer5KWYrfVO/4m2Q883LoN83pqY2MUluRiPIeKMS\nh71m0nVBXm1Q1rg6YOSQN45ATMIsRhhhs3PUZ6bMbWV6SgPbXfEUmj0dqroGkrRB4jURjvnNaIQY\nPY1eDvmUbK6PyY2MQFgW6GXyMMDiIlUXxHCWB45Wn5P1VWXkxaefMqmtk7SMLxjBi9vep9Fjp9Fj\n57Yh03ll5xKO2mvpkZhFr6Rc2vztDMwopMHTRnvAQ3pcIodbq+idnIcgCAzNLuKZTW8SjkYYnNkb\nmyGOUbn9OSdvADKKBDtANBZDOs0Wxd8VPwaO7whBELj44otxuVy89NJLgHIRe/bZZwkEAkycOJGf\n/OQn1NbWsm3bNtra2khPT2fvXuUO/ciRIzz++OOEQiH8fj8vvPAChw8fZsuWLVxzzTUsWrSIf/zj\nHyQkJPDee++h0XStP9k3Kftt27aNsrIypkyZwrvvvsvHH3/MqFGj2LBhA/Hx8UycOJFVq1YRjUb5\nwx/+QFNTE+vWrSMWi3H11Vfz6KOPcuTIESZPnsz27dupra0lJSWFjIwMdu/ejUajITExEY1Gg8Vi\n4fDhwwQCAc455xw2bNiAxWLhoYce4pFHHkEURX7+85+za9cuMjIykGWZ7du3U1JSQnNzM+vWrWPK\nlClEIhE+/vhjsrKyKCoqoq2tjd/85jd4vV6OHj3KJZdcQlxc3H88986EpqOJY5aiDLIqNyvjElqo\n8MUxMt7OKnsKgZhEnCZCmdtGICax2p5CQ9DAPq+VI744fB1DhJ6oBltH2UkGknUh8IFOiDLM5iAs\nCxikGH3jPGjFf5K0Oyvx4eFNVNrrKGuowKTRs7XuAHm2dMZ2H4zd76JbfDoN7lZSzQkYNFpEQSAq\nK4FlcuFo/rb9fd7a+ymX9B5NljWF7bUHWF+1H4BbhkxVaLodmYlFb2JMvqJBd7CligPNlQzNKuJA\nSxWfV5dTnNaDK/qd32lr8VV0ravQWQyr1crTTz9NeXk5xcXF3HnnnQA0NzfzP//zP4TDYc4//3xy\nc3NxOp3odDpCoRAjR45k0KBBXH311TgcDgYPHsyxY8dwOp1s3bqV7GylOenz+YhGo18bOGKxGGIX\nuyP5MoYNG8awYUqt9s477+TOO+9kzpw5hEIhmpubqaurUzOMN998U+3h3HzzzTz55JM0NjZyzz33\nMHz4cPr06UN7ezsjR45EkiSWLl1KMBjkvffeA2Ds2LEcPnyYnJwcrrnmGkpKSigpKeGZZ57BZrNx\n0003MWfOHCKRCBMmTGD5csULPhaLqeXATz/9lPR0hWlWV1fHX/7yF+Ljv/D1GDp06JlZuNOAQ944\ntrXHUxTnJs/gpyFkoLfZQ6Y+QJbOT6ouyPjEFlbaUzjotZBv9FEfUkpbLWE9V6fVcshnIUkbpClo\nYJDFSZouSE3AyJiEVtJ1AdY7k8jQBRmT2NbJZ3t6kWiwUAkYNXo2niinxtVEpb2OaCzG+hO7MWuN\nXFI4muUVn/PyjiVM7XMu5U3HSDRYqG1vwh1UynZVjgbidCZVzEsUBHyhAMFIiASDhagcIxKN8vcd\nSyjNKea9/WuIyjGq25sIdVQl9jYd49KisV0m8/gxcHwLyLLMn//8Z8rKyrj99tspLS095f+Liooo\nKlIMlB566CEOHz7MOeecw65duwClP/Hqq68iyzJGo5HU1FQ2bdqE3W5XSycul4v8/Hx2795NXl4e\nDz/8MB999BGJiYkcOXKEoqIi/vznP1NZWcmsWbN47bXX2Lp1K7feeitXXXXVmV2Q74BJkyaxe/du\nUlJSmDZtGtu3b0eWZbp166ZuU11dzZ49ioroxo0b+fvf/47L5WLatGkcOHCAbdu2ccUVV/DZZ5+p\n+5xzzjnMmDGD1tZWZs2ahSzLXHbZZRw6pAhTbt26VS0RhkIhunXrRlVVFQMGDGDEiBF8+OGHTJ8+\nneLiYl5//XVGjBhxStA4E6j3S7xYcXpkT5yaJGRBojZgQJJDREU9B70W1rXEEZaUJm9texRJ9mMj\nSFs4RkTQIQOyHGNRQyq6mA+flAyCqCgfEEdM0IBHRiOHiIh6jvvN7G0FzWnUPa33S5wOTlFdezPP\nfvbGt95PlmUsogEpJtLiVhiRIgKbO3oS3rCfFYc3EyFGJBJk2f4NBIlQAeyqOYQWiRgye+oOU96k\nyOSYBT0SAm+Ur0AGNIhYRSMbq5XPeW17E0JHk83j96EVJAQE9IKGv6x/6zuvg40zbx37X4/a2lq1\nkb1gwQI2bdrEgQMHmDlzJgMGDOD555+npaWFX/ziFxQVFWG1Wunbty+PPfYYFRUVjBs3jrKyMgKB\nAJIk4XK5aG5u5siRI9x7771UVVXRt29fevbsSXNzM7W1tVRVVZGfn88f//hHAGbOnKk20OfPn8+2\nbYoJ4/Lly8+qwNGnTx+efvppDh48SH5+Pu+//z6yLCOKIpIk0d7ezpQpU6iurqaqqooRI0awdetW\nAI4fP87SpUuJxWJUVVXx0EMPsWTJEjQaDR988AHV1dWcf/75xGIdg38aDRkZGeprlpaWUlVVxZVX\nXonBYKClpUXN7G688Ub1GAcMGHDG1+X/2yORZZn29nZkWcZms6kZaLi5GY/Hg95gQK+34XK5EEWR\nuIRMHA5lGE22ZdHu9WKxWEhISMDj8RBpakKj0RMRBGIaAxpRJBKJoDWYkCQJn8+HRqslLi4Bp9OJ\nJEkk5g1EkiR13QVBoKWlhUgkQnJyMjqd7l8e/9ch4Tusx0mczp5TMBhEo9EQjUZpbW1Fp9MRFxdH\na2sroihitVppblaYfxqLAb/bjUajQY4JKt/ClqEMYLobGhSFAp0GW1Yq3vp6gsEgBqMRURTRarXE\nx8ef1kqCjdTTth4/Bo5vgbS0NHr27MnRo0fp06cP77+vkMwWLlyI3+9nyRLFFDEuLo6NGzfi8/m4\n/PLLycnJYcmSJbS2tvLCCy/wzjvvsGbNGrXslJuby7hx41i8eDGPPfYYZrOZK664gldffRXglKa8\nJEkkJyfT2trK8OHDiY+PZ8uWLVx22WVndjG+I4LBIHfccQcOh4ORI0cycuRIVq5cydSpUxkzZgzr\n1q3D7Xbz4osvnrLfvn37uPrqq/n1r39Na2sr8fHx3HHHHQQCAaxWq9o7am5uZurUqQSDQX76059y\n2223nVLSi0ajvPDCC7S0tHDbbbdx9913c+DAAe655x4uvPDCM74eJ/FNqeJfxaeffsof/vAHQCFu\nNDY24vF4+OMf/8iCBQtoaWnh1ltv5fjx43i9Xi644AL2799PYmKiWlb1+XxkZGRQXV2NTqdDq9US\nCoU455xzuPPOOykvL2fIkCHodDp2795NYWEhCQkJVFRUsHr1agwGA+PGjeNXv/oVXq+Xa6+9lvnz\n5wNQXFz8/z6374Lv8z1PfnYikQgPP/wwY8eOZe7cubS1teHxeNiwYYMaNH0+HzfccANvvvkmTqeT\niy++mMTERCZMmMCGDRt47733mDBhAlu3bqWhoQGtVsvbb7/9rYPtmcKPgeNbQKfT8be//Q2Px4NO\np2Pnzp2cOHGC4uJicnJyMBqN+P1+srKy8PmU+mZjYyNbt27F5XKxfPlybr75ZlauXEksFiMSiTBl\nyhQ2bdrE8uXLOXpUSWe9Xq96NwhKjyAlJQVJkli5ciWBQIBf//rXXHRR13D1+/8gHA6r7LLW1lae\neeYZotEoVVVVdOvWjfLycqxWK3fddRcvvfQSJSUlPPDAA4wZMwaz2cxLL73EkSNHCAQCbN++HVD6\nFAUFBdTU1DBhwgRGjhxJW1sbs2fPRq/Xc9tttzF79mza29uZPn26GvhFUWT3boUiuXz58k4NHP9f\nWK1W9XFDQ4Pau9Hr9SpdXBAE9u/fT3t7O9u2beOaa65hy5YtXHLJJXzyySeMHj2aw4cPq9tmZGRw\n//3309DQQCAQ4Nxzz2XNmjVkZGQQHx/PTTfdhNVqZezYsbzzjmJy1NTUpA6lNjY2YrVacbvd9O/f\n/0wux2lHe3s7s2fPJhgM8vDDD5OWlsbhw4fV7+n27duxWCwq/f7iiy+mZ8+eZGZmsmHDBmRZpqys\nTF0bh8NBUVERDoeD119/HZ/Px7Jlyxg4cCANDQ2kpKSwadMm9u7dy2WXXXbG2ZL/CT8Gjm8JSZKw\n2ZT68yuvvMKcOXN47bXX2Lt3L8899xzLly+nf//+/OIXv2DDhg1MnDiRyspK5s6dS//+/amtraV/\n//7s3r0bg8Gglr4WLlzIvffeS2trK/3792fQoEE4nU4GDBhAYmIiFRUVZGVlnVKrP5sDR1xcHI8+\n+ijbt29n2rRpPPvss+zZs4fi4mI13Q+FQrz77rs0NjbS2NhIcnIyb7zxBjk5Ofzud7/j448/Jjk5\nmcsuu4yPP/6YaDRKaWkpjz32GLNnz+add96hsLBQLeeZTCb1wnj06FEMBgOBQIBBgwbh9Xo5ePAg\nkydP7rQ1+S4YPnw4c+bMIRgMkpKSwqpVq4hEIpSUlKg3Lnl5eWzZsgVQ7pbvvvtuAoEAJSUlFBYW\n8uGHH1JcXMz06dP55JNP8Pv9LFq0iLVr12KxWBg/fjyLFi1CFEXOP/98HA6H+u8khg4dSltbGy6X\ni6uvvpqf//zneL1e0tLObumWtWvXsnOnYkn03nvvcfz4cSKRCKWlpTQ3NzNs2LBTsgOj0cjEiRMp\nKipi/XrFgyMcDnP99ddTUVGBTqfj6aefRhRFzjvvPNauXcu4ceO4/PLLycjIYMyYMdx3331qOfbp\np5/ulPP+V/gxcHwHaDQa9U519+7dvPDCC+zevZtly5YxdepUdu/ezd69e5k7dy6DBw9m1qxZ/PKX\nv2TmzJkcPHiQUChESUkJ5eXlDBw4kIcffphYLMbgwYO57777iEQi6HQ6XnzxRUKhEPn5+RQWFlJT\nU3NWB42TGD16NKNHKx7NTz31FLW1teTm5tLY2Mjy5csZPnw4FRUVHDx4kMLCQjVo1tTUMH/+fPUL\nOXv2bFasWIHH4+G1116joaGBgwcPApCfn49Go0Gj0TB27FjKyspwu91MnjyZW265BY/HQ35+PlOm\nTOmcRTiNGDx4sPp44cKFBAIBcnJyGDlyJC0tLRQWFtK7d2927NjBxIkTufvuuwEl4yovVxq+FRUV\neDwe/H4/fr+f1I5ZFa/Xq2aIsViM/v37q3fZ1157Leeddx6iKNK/f3/OP/9U2mhXpy1/E5SUlGA2\nmwmHwwSDQXbs2AEoZcEdO3bw2GOP8eCDD/L444/T3NzMyy+/jNfrpX///iQlJeH3+/nFL35BNBrF\naDRy4ICibi3LMpmZmQwdOpSJEydy33334XK5OHz4MCaTCY/HQ0JC15Md+TFwfEfcdNNNvPnmm4wb\nN479+xWOtiRJakoaiURoamrC5XIRjSo6kfv27VMH0+Lj41m+fDlbt25l9WrFb7ipqUltMIbDYcxm\nM6FQiPj4+C5353G6oNVq1Un3rKwsbr75ZkKhEJ9//jlTp07l1ltv5fDhwzidTgoLC9U7OYPBQGNj\no9q7MBgMlJaWsmHDBjQaDVOmTGHGjBlqpvjWW2+d0utISTl79aj+Hb58XomJiSQmKtL15557Luee\ney4AzzzzDLt37+aiiy5ix44dLFu2jEmTJrF+/XqOHz+OJEncc889LF68mIEDBzJ48GDS0tLIyspi\n/PjxTJo0SX2P5H+rh3b2o3v37rz77rtEo1FqampYuXIlsiwTHx9POKwoOR88eJCcnByKiorU77rf\n78fhcBCLxXjnnXfYuHEjTqeTvLw8brjhBlJTU1Xii91uVxl/0WiUF198kYqKilOGfLsKOi1wdDgK\nvg10QzGFulKWZcdXthmAIt1uRVHn/V9Zlt8+s0f673HRRRepd//t7e18+umnFBcXk5aWpn6oHnro\nIUwmE9OmTaOmpoahQ4eyadMmIpEIxcXF/OxnP8Pr9TJx4kT0ej033HADo0eP5siRI0ybNg2Px0N5\neXmX/AB9n1i+fDlvvaVQENPS0khPT+fOO+9U2U59+vTho48+UifyU1JSePrpp5k7dy7p6en88pe/\nJM4oJasAACAASURBVCsri5qaGvLy8li0aBGLFi1iwoQJXHfddZ12Xl0F3bt3Z9WqVcybN4/bb7+d\ntrY2du/ezR133EFlZSU6nY7ExEQOHTrExo0befTRR09hnf23wWhU6Mt9+vTh3XffVWn1breb9vZ2\njhw5wpIlSzCbzTz88MOsWrWKCy64gIcffhhQWJknbwhlWcZut1NXV0dGRgYNDQ306tWLu+++Wy1D\nZ2VlqWy/robOzDgeBFbLsvyEIAgPdjx/4Cvb+ICfybJ8RBCETGCnIAgrZFl2numD/Saw2Wxcfvnl\n6vOZM2fy3HPPEYlEcLlchEIhdu7cyc6dO0lNTcVoNGI0GlVJC4vFwu233w5AaWmpOiditVrJzMz8\n5zf8gSMjI0N9XFlZqU7m//a3v1WbkF+e+9BqtTQ1NalzHYsXL2b+/PmUl5czcuRI9u7di9vt5rXX\nXmPGjBldemjyTGDVqlUsWrQIUMpPJxvq4XAYp9NJMBhk7ty5al/ok08+oV+/fp12vJ2N999/n8WL\nFzN58mQuueQStm/fTp8+fZg5cyaA+jMajbJw4UIOHjxIZWUlycnJBAIBfvWrXxGJRNi8eTOxWExl\nnF177bWUlpZSWFiIIAjqLNiuXbswGAzq866EzvzmTAX+0fH4H8C0r24gy3KFLMtHOh7XA83AWVNb\nOHLkCCaTiYKCAkaMGKFOI4OSwp44cYKlS5dSUFBAZmamyuZZt24dL7/8sirD/t+KYcOG8eKLL/KX\nv/xFrbUDbNmyhWPHjnHs2DGysrK46qqrsFgsNDQ0MG/ePNLS0hBFkdLSUrWWvG/fPsaMGQMoQ4L/\n7UEDIDs7W12HgoICDAZlYtxisRAMKv4mR48eJScnB5PJxOjRo1m2bJnaP/pvwyuvvEJNTQ2vvPIK\ns2fP5re//S133HEHoZDiffPII49w/fXXM2fOHPVmsLm5GX+HZlp1dTVLly5lwYIF1NXVIYoigiCo\npdctW7YwceJEbrrpJhYvXsw999zDrFmz1AHiroTOzDjSOhR2kWW5QRCEfzvSKAjCMEAHHDsTB/dd\n4fV6+eUvf4nf72fIkCE8/vjjhMNhJElCp9OpkukVFRVqeeXee+/ltttu48knn0SWZerq6njsscc6\n+Uw6F717K+Jy3bt3R6PRkJCQQL9+/di8eTOyLONyuUhPTyccDiPLMgcOHOD555/HYrHw3nvvMXr0\naJxOpzofcvvtt2MydS1HxM5CcXExc+fOJRgMEovFGDt2LL1792bSpEl8+umnBINBMjMz+eyzzxg5\nciRr165l5cqVaLVaFi5c+IPtD/0rjBo1ilWrVjFy5EhVIsfpdPLkk0+yfv16ZsyYwbhx41izZg03\n3ngj5eXl9OvXjzlz5gDw1ltvqTcyW7ZsYf78+TQ2NvLWW2+xcuVKBEEgGAxSWVmpEkFkWVaDUFfC\n9xo4BEFYxdfby/3Pt3ydDGABcJ0sy18ruSkIwq3AraAM1HU2Tqq4gpJdzJo1C7/fz6OPPkpbW5uq\nVTV06FB8Pp/aWN+4caM6ePVDYKN8GcuWLWPFihVMnTqV4cOH8/nnn1NSUkJmZibBYBCdTocgfI07\nEEp9+frrr1efv//++7z77rtq+cpqtRIKhRg0aJAqh//RRx8BShP4ZF/kXwWNmpoaqqqqKC0tpbGx\nkV27djF69Gh27drFe++9x4UXXsill156Gleja+BkqW/69Ok4nU62bNlCfX09fr8fg8HAwYMHiUQi\nrF+/Xi2dRqNRtSEcDodxOBynZIQ/VDz00EPMnDkTm81GZWUlH3zwAYMGDWL27NkALF26lJUrV1Jb\nW4vNZuODDz4gHA7z/PPPEwwGGTlyJLm5uaxdu5Zzzz2X2tpaysvLVWbmVVddRWJiItnZ2dx2223E\nx8djNBpPGQDuKvheA4csy//yjAVBaBIEIaMj28hAKUN93XZW4CMUz/Mt/+a9XgZeBhgyZEiny3Na\nLBaeeuopVb31lVdeARQRv08++URlZDzxxBOqLlVzczOXXHIJ119/PceOHWPs2LGdfBanD7Is8+yz\nzxKNRqmurubjjz+mrKyMhIQEZsyYwfPPP0/Pnj25++67+dOf/kRycjK/+c1vqKysRKvV0qtXLwDe\neOMNGhoauOGGG07RkNJqtWRnZ/PUU09RV1eH2WxWf2+326mqqiI5OZk5c+YQi8WYOXMmf/rTn2hs\nbGTmzJk89thj+P1+Jk2axOeff47D4WDFihU0NDTgcDioqKhg6tSpnW6K9f9FNBpl7ty5tLa2cvvt\nt2M2m/F6vSrbymKx4HQ6sVqtbNiwAUBVd164cCGjRo3ihhtuoKCggJycHOx2O4mJicycOZPKykqu\nvfZabrrpps48xe8dgiCon7kePXpw7733ArBz505Wr17N1KlTWbVqFaAwKx9//HHsdjspKSlEo1Fe\nf/11otEod911F3/605/48MMPueCCC5AkCb1ez/jx49UeJ3DK466GzixVLQWuA57o+LnkqxsIgqAD\nPgBek2X53TN7eN8dJ5VZa2pqWLRoEcFgkMLCwlMUWRctWsRf//pXDAYDr7zyijoh2rNnz8489NMO\nQRAoKSlh9+7dDBgwgPp6xUjJ5/Oxbt06ZFnmyJEjvPnmmxw9epSjR48yb948Fi1ahCAIPPnkkwiC\nwN///nf1NX/yk5/w4IMPUlNTw8KFC7Hb7SxevJjnn38eQRC44447CAaDzJ49G0mSmDZtGuvWrQOU\nDObkxPmHH36oen60traqVGm/38/AgQNZs2YNJSUlZ23QANi8eTNvvvkmoCgg7Nixg6amJu666y5K\nS0u5+eab8Xq9DBs2jF27dvHUU09hNBoZNWoUEyZM4I477mDGjBncf//9vPTSS7S2tnL++eerisLb\nt2//wQeOf4X77ruP++5TzFAvuOACNm7cCKCy/axWK1qtVv1c7dmzR61GGI1G3nnnHbRaLRaL5Wte\nvWuiMwPHE8A7giDcBFQDVwAIgjAEuF2W5ZtR7GrPBZIEQbi+Y7/rZVku64Tj/cZ4++23eeWVVxg1\nahSPPPIIPp+P+fPnYzKZ0Ol0GI1Gnn32WQC10RgIBKivr1cDx7vvvsuKFSu4/PLLufjiizvtXE4n\nnnzySfUc6+rq+PDDDxkxYgTBYJDGxkaKiooYO3Ysn3/+ufplAyVbqa6uplevXmi1WnUI69prr0Wr\n1XLeeeep25WVlamUR61Wq87TRKNRLBYLWq0WWZYZNWoU5eXltLa2Mn78eEaNGsXBgwe55ppraG1t\nZfPmzYwfP57s7GxuvPHGs37yOSsrS107k8lEU1MTAJs2bVKH1X76058iiiI9e/YkPT2duro6rr/+\neqZPn65uv379elpbWwFFUuTqq69m586d/9U03S8jPT2dyy+/nNraWl599VX8fj+yLBMMBhkwYAAa\njYZbbrmFgoIC6uvr+dnPfqYqUZxNEGS506s6px1DhgyRT052dgZmzJihNs/Gjx/PihUryMjIYP78\n+ej1eg4dOsQdd9wBoF70Tg69CYJANBrloosuIhaLYbPZWLx4caedS2fA6/Wi1WrV8kooFGLdunV4\nvV5mzpxJbm4uu3bt4o03FKnsn//857z66qtIksTzzz/PvHnzAEWWXRRF8vPzSUtL48Ybb8ThcCDL\nslo+iEQi6PX6zjzdM4a6ujpcLhe9evVizpw5VFZWcumll/LEE08AilzIwYMH8Xg8WCwW3G7FZOjC\nCy/E6/VSV1fHAw88wP79+ykrK2PGjBldxvGwK8LlclFTU8OsWbMAZbL/ZKO8q0IQhJ2yLA/5T9v9\nODn+PWDatGnMmzePUaNGqbapDQ0NbN68Ga/XewovOz09Xd0uFApRVlbGjh07KCoqYt++faoB0n8T\nTvYnAGbNmsWaNWtUKfnq6mqmT59Ot27dOHHiBLIss379eiRJwmw2c8stt6DT6bjoootUSZLx48dz\n5ZVXAqdOOEuSdFaXn74N1qxZQ1VVFZdffjlHjx4lPz+fW265hcTEROx2O0ePHmX48OFq+e5khta3\nb1+uu+66U0T2+vTpQ3FxMZs3b8ZkMpGT0wWM1rsgrFYrOTmKFXEsFvsnAsHmzZt55pln6N27N7/5\nzW+6nLvnv8PZc6RnES677DJV5nzfvn0sWLCAbt26MXv2bGKxGFdddRXx8fGEQiFGjRrFXXfdRTQa\n5cCBA3z66adEIhEKCwt56623/ivYKv8JpaWljBo1Sm1yX3TRRcyaNYvf//73/O///i+ff/45oPSM\nwuGwWo6Ji4tDFMWzyrHv+8DRo0dV5k9DQwMbN24kEAiwZcsWhg0bxqpVq7jiiisYM2YMO3fuxOl0\nsmfPHnw+H9nZ2WRlZdHS0sLvfvc7RFHkkUce4d5778Xj8bB27Vr+8Y9//Icj+OHjpEx/c3Mzs2bN\nUvWprFYrWVlZhEIhVVTyjTfewGKxsHXrVlpaWmhpaaGyslIlgJwN+DFwfM/o168fM2fOpK2tTZWe\nbmxsVGvvb7/9tlqTj0QimEwmXC4X8fHxZ31d/XTBaDTy+9//noaGBn7yk58A8NFHH3HhhRdSUlLC\nqlWrEEURm81Gjx490Ov1mM1m7rrrLs4777yvzSpqampITU0lGo2ybNky8vPzf7DZnV6vR5IkotGo\nOuQHysXu5ZdfRpZlXn75ZdavX8/mzZspLi5WBwA3bNjAzJkzWbFiBfv27QNg9erVav+pq/pFnGls\n2bJFlemPi4ujvLycxsZG7r33XiKRCOFwGK/XywcffMCCBQsAmDJlCrt376Znz55dYoTg2+DHwPE9\nY968eSxYsIC0tDTuv/9+2traGDZsmMruyc7O5rHHHlPrzddddx2rV68+Kz0hvm+kpqYyevRodu7c\nSX5+PpMnTyYnJ4eHHnqIxx9/nJaWFp577jmWLl3Kyy+/DEBCQgIDBw485XWee+45PvjgA1Vt+JNP\nPkEURebNm0deXl5nnNr3ipycHJ599llqamoYN24cI0aMYM+ePVx55ZX88Y9/ZMeOHQwfPpxNmzYB\ncOjQIWw2G16vl5KSEi6//HKKi4sxGAyqAq7L5eLEiRNq/f6/Hbm5uapMv81mU1mDn332GQ0NDQDM\nmTOHQYMGqfuMHTuWWbNmqUH4bMKPgeM0YM+ePTz77LMUFBRw//33n3KHe/IurampCYfDwa5du8jM\nzCQ9PR23201paSmiKLJx40aamppISkri9ddfZ8mSJcyfP1816Dl48CBpaWkq7/6HjI8++oiXXnqJ\nYcOG8eCDD7Jr1y5yc3NJT09XSy4PPvggsViMEydOqFPk4XBYrdGfRDAYxO/3q1LWJ8swoFjQ9ujR\nQ932Xw0f/hDQt29f+vbty9GjR/nd735HOBymb9++PPHEE9jtdpKTk1m7di1LliwhLS2N1atXYzab\nKS8vp62tjc8++4x3330Xs9nMZ599phITBg8ezPTp0zv57DofOTk5LFiwALfbTU5Ojlp+mjJlCtu3\nb0eWZSKRCPv27WPw4MFcddVVnWJNfLrwY+A4DXjzzTc5fvw4x48fZ/z48ZjNZnr27IkkSdx88828\n/PLL9OvXj1dffZVwOExFRQWRSIRgMMiDDz5Iv3791NmFPn36AIrEclNTE1arVc1abDYbr7766imD\nbz9EvP/++7jdblavXo1Go2HFihWYzWYeeeQRnnvuOdLS0lTKY0FBAZdeeinr169HFEV69+7Nwf9r\n797DoyqvxY9/1wy5kCAh4RIIkFAkIqDIKdAUCBwpRqUUL0iKoi0olVYrgtWKl4LWYkF+1mqLiHgD\nkVPUgy1IAhURFQIPEVLuF/kJARLuwdwzmZnMe/6YmW2CoAwMmQxZn+fhYbL3nrCyHzJrv3u/71q7\ndtGvXz+r37vNZuPBBx/kueeewxjDsGHDaNq0KWlpaYwcOZKuXbvygx/8IOxuF5yPffv2WbWVNm3a\nxOeff05ycjJjxoyhf//+DBo0iDFjxuDxeCgrK7OaNw0YMIDVq1ezcuXKOoUO/RVjlXfihX/yxZQp\nU6ztbdu2xeFwkJycbN2uDvfFvZo4gqBfv37k5uaSlJTEiy++yKFDh8jIyCA9PZ3s7GxGjBjBoEGD\nrGmMPXr0sBrn2O12+vbty8aNG0lKSuK+++5j4cKFxMXFMXHiRFq2bGk96ygpKeHEiROXfOIYOnQo\nr7zyCn379rW6y1VUVLBs2TIOHz7M4cOH6devH4mJibRp04aUlBRiY2Ox2+0sW7bM6qoYGxtbZ9GV\nf+p5s2bNmDVrlvXv1a5ofKm79tpr2bp1K2VlZRQXF1urxKOionjzzTdp3rw5Q4YM4b333rMKdPbs\n2ZNBgwYxY8YMjDGcPHmSadOm4Xa7renk6hsFBQXs3r2bAQMGYLfbKSoqwul0UlJSgohgt9ut3jM7\nd+5kz549XH/99XVmEzZ0mjiCwF9Az+PxWLOpdu/eTU5ODpWVlWzbto3Kykqqq6u555576Nu3Lw8/\n/DCxsbFMnjyZZcuWMXz4cIYNG8a0adNo2rQpcXFxVFVVUVBQwE033UR0dDRdu3YlNTU1xD/txTdy\n5Ehuu+02RITCwkIWLFhA9+7dadOmDRs2bKBVq1bk5uaSl5dHXl4eJSUlVne68vJywJuQMzIyOH78\nODabjV/96ld07tyZoqIi7rrrrlD+eCEVGRlplcpYuHAha9asISYmhn379uFyuSgqKiIhIYHmzZsT\nExPDX//6VxwOB3v37qVXr1785z//oU+fPo2uN8y5Ki8v57777qO8vJxBgwYxbtw4a4RXUFDAW2+9\nxZYtW6yadJMmTcLlcrFt2zamTp0a4ujPnSaOIPGv/pw0aRJr165l1KhRvP3222zdupUuXbrw4osv\nUl1dTX5+vpVQwNvjwN8Tu7Ky0lo42Lt3b1q3bk3Lli254YYbyMzMDM0PFiL+5w3t27fnscces7Zn\nZWXRpEkTFi1axMaNG0lISLCu3gB+9rOfkZGRQXx8PJ07d64zU6oxjSzOxZ133kmnTp1ISUnB6XTy\n1VdfER8fz0cffURpaSllZWVcc8011ih5xowZHD9+vE57AFWX0+m0fre//vprSktLadasGQ6Hg8zM\nTCIiInjppZfweDzs3bvXKj3iLxoZLnTl+EVUXV3N3r17SU1NZcqUKXzxxRekpaURExPD6tWrsdvt\n3H333bz++us0b96cyZMn8+c//9kqSdIYmzedrqKignnz5hEXF8fo0aPZu3cvbrebHj16cPDgQRIS\nEmjWrBmjR4/GZrNZDZ7AW4Jk48aNtG7duk7DJ+W1YMECaybZnDlzrKm6Dz/8MHl5edhsNpYuXcqR\nI0dISUlhy5YtbNiwgeHDhzeK50Hna+3ateTl5bF//342b95MZGQk0dHRlJaWkpaWxubNm6murub6\n66/nuuuuY9euXdx0000N4ha0rhxvAKKioqwHiVOmTGH69OnYbDZ+/etfk5uba/VA6N+/PwkJCcTF\nxbFkyRKrwYvyTjzwd6lzOp288847GGOYOnVqnQeM/oe0R48eZf78+aSmplJZWckbb7xBREQEr7/+\nun7YncY/0j1w4AAHDx6kffv2xMbG8sc//pF77rmH6OhocnJyWLduHTfddBNPPPEELpeLrVu3WuXs\n1belp6eTnp5u3SVwOp1WL/ENGzbwyiuvkJ+fz+DBg4mKigrLBaqaOC4CYwxOp7NODaTPPvuM9evX\nA1glrQHeeOONOjMwGksJjHPlbxZks9lwu93WA+4tW7bw9ttvk5KSwpNPPklFRQV2u53Zs2ezZs0a\nVqxYwcCBAwGse/eaOOoaO3Ysr776KsnJyTz00EN4PB6ef/554uLiiIqKwmaz8dxzz1nTnmNiYigp\nKbGmiKtvrFu3junTp9O5c2eefPJJ5s+fT/fu3XE4HOzevRuPx0N0dDTXX389V155Jfn5+YwePZq0\ntDR+//vfh92FoiaOIHM6nUycOJE9e/bw4IMP0qpVK3JycujVqxeRkZG43W569erFypUrMcbQuXPn\nOu8/deoU1dXVdfptN2Y333wzHTp0oFmzZta5cjqdHDt2jPz8fPLz84mPj7eqt/qL7sXExHDjjTda\nU3RPXwSovM/R5s6dy/vvv8+qVasAWL58OcuXL7dqK7Vp04ajR4/SqVMnpk2bxvbt2/XB+BlkZWVR\nXl7O1q1bmTt3rnU+MzMzrZHd+PHjGT58OADvvfcep06dYvny5dx9991h101RE0eQFRYWWm0fV61a\nxe7du3G73ezYscMqs9y5c2cWLVqE2+2mf//+3H777URGRjJhwgSmTp1KdXU1U6dOtXpkN3a9e/e2\nXo8fPx6AlStXsm7dOhITE+usvB00aBBDhw7F4XDw1FNP6ZTRczBkyBDWr19PTU0NSUlJVgkch8NB\nly5duOqqq3j00UeJiIioU+xQfePGG28kLy+Pzp0707NnT1atWoXdbq/TxdPf82Xbtm10796d/fv3\n07t377Bc1KuJI8iSk5MZMmQI2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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ " OLS Regression Results \n", "==============================================================================\n", "Dep. Variable: sub3 R-squared: 0.006\n", "Model: OLS Adj. R-squared: 0.001\n", "Method: Least Squares F-statistic: 1.098\n", "Date: Sun, 10 Dec 2017 Prob (F-statistic): 0.362\n", "Time: 20:09:53 Log-Likelihood: 379.69\n", "No. Observations: 1305 AIC: -743.4\n", "Df Residuals: 1297 BIC: -702.0\n", "Df Model: 7 \n", "Covariance Type: nonrobust \n", "==============================================================================\n", " coef std err t P>|t| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "Intercept -0.0178 0.106 -0.168 0.866 -0.225 0.190\n", "mean_gm -0.1096 0.134 -0.817 0.414 -0.373 0.153\n", "tiv 4.362e-08 4.16e-08 1.049 0.294 -3.79e-08 1.25e-07\n", "age_scan -5.174e-05 0.001 -0.065 0.948 -0.002 0.002\n", "gender -0.0043 0.010 -0.410 0.682 -0.025 0.016\n", "AD -0.0360 0.015 -2.328 0.020 -0.066 -0.006\n", "sMCI -0.0103 0.013 -0.791 0.429 -0.036 0.015\n", "pMCI -0.0294 0.015 -1.946 0.052 -0.059 0.000\n", "==============================================================================\n", "Omnibus: 7.311 Durbin-Watson: 1.978\n", "Prob(Omnibus): 0.026 Jarque-Bera (JB): 6.115\n", "Skew: 0.090 Prob(JB): 0.0470\n", "Kurtosis: 2.717 Cond. No. 6.06e+07\n", "==============================================================================\n", "\n", "Warnings:\n", "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n", "[2] The condition number is large, 6.06e+07. This might indicate that there are\n", "strong multicollinearity or other numerical problems.\n", "############################################################\n", "F test on full and reduced model:\n", "############################################################\n", " df_resid ssr df_diff ss_diff F Pr(>F)\n", "0 1300.0 42.924134 0.0 NaN NaN NaN\n", "1 1297.0 42.698948 3.0 0.225187 2.280048 0.077697\n", "############################################################\n", "Pairwise post hoc t-tests between groups\n", "############################################################\n", "Multiple Comparison of Means - Tukey HSD,FWER=0.05\n", "============================================\n", "group1 group2 meandiff lower upper reject\n", "--------------------------------------------\n", " AD CN 0.0316 -0.0057 0.0688 False \n", " AD pMCI 0.0047 -0.0365 0.0458 False \n", " AD sMCI 0.0215 -0.0156 0.0586 False \n", " CN pMCI -0.0269 -0.0645 0.0108 False \n", " CN sMCI -0.0101 -0.0432 0.0231 False \n", " pMCI sMCI 0.0168 -0.0207 0.0543 False \n", "--------------------------------------------\n", "Test Multiple Comparison ttest_ind \n", "FWER=0.05 method=bonf\n", "alphacSidak=0.01, alphacBonf=0.008\n", "=============================================\n", "group1 group2 stat pval pval_corr reject\n", "---------------------------------------------\n", " AD CN -2.1739 0.0301 0.1804 False \n", " AD pMCI -0.2903 0.7717 1.0 False \n", " AD sMCI -1.4789 0.1397 0.8379 False \n", " CN pMCI 1.85 0.0648 0.3887 False \n", " CN sMCI 0.7843 0.4331 1.0 False \n", " pMCI sMCI -1.1556 0.2483 1.0 False \n", "---------------------------------------------\n", "############################################################\n", "GLM results for effect of APOE4\n", "############################################################\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/Users/AngelaTam/anaconda3/lib/python3.5/site-packages/scipy/stats/_distn_infrastructure.py:879: RuntimeWarning: invalid value encountered in greater\n", " return (self.a < x) & (x < self.b)\n", "/Users/AngelaTam/anaconda3/lib/python3.5/site-packages/scipy/stats/_distn_infrastructure.py:879: RuntimeWarning: invalid value encountered in less\n", " return (self.a < x) & (x < self.b)\n", "/Users/AngelaTam/anaconda3/lib/python3.5/site-packages/scipy/stats/_distn_infrastructure.py:1818: RuntimeWarning: invalid value encountered in less_equal\n", " cond2 = cond0 & (x <= self.a)\n" ] }, { "data": { "image/png": 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x9vZm5syZfPXVV4wZM4asrCwAcnNzRdC4TCJwXKeys7PR6XT06NGDkydPKuO+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EGDyM7OZsaMGZw8eZKpU6eybds28vPzmTFjBr/+9a9xu93MmDGDnTt3AvDOO++ou72//OUvEcPx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\nxODxeGhpaUGSJHw+H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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ " OLS Regression Results \n", "==============================================================================\n", "Dep. Variable: sub3 R-squared: 0.001\n", "Model: OLS Adj. R-squared: -0.003\n", "Method: Least Squares F-statistic: 0.1784\n", "Date: Sun, 10 Dec 2017 Prob (F-statistic): 0.971\n", "Time: 20:09:56 Log-Likelihood: 376.29\n", "No. Observations: 1305 AIC: -740.6\n", "Df Residuals: 1299 BIC: -709.5\n", "Df Model: 5 \n", "Covariance Type: nonrobust \n", "==============================================================================\n", " coef std err t P>|t| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "Intercept -0.0741 0.104 -0.713 0.476 -0.278 0.130\n", "mean_gm 0.0197 0.124 0.158 0.875 -0.224 0.264\n", "tiv 2.645e-08 4.11e-08 0.643 0.520 -5.42e-08 1.07e-07\n", "age_scan 0.0002 0.001 0.298 0.766 -0.001 0.002\n", "gender -0.0030 0.010 -0.289 0.772 -0.023 0.017\n", "APOE4_bin -0.0023 0.010 -0.227 0.820 -0.022 0.018\n", "==============================================================================\n", "Omnibus: 6.951 Durbin-Watson: 1.971\n", "Prob(Omnibus): 0.031 Jarque-Bera (JB): 5.861\n", "Skew: 0.088 Prob(JB): 0.0534\n", "Kurtosis: 2.723 Cond. No. 5.65e+07\n", "==============================================================================\n", "\n", "Warnings:\n", "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n", "[2] The condition number is large, 5.65e+07. This might indicate that there are\n", "strong multicollinearity or other numerical problems.\n", "############################################################\n", "Pairwise post hoc t-tests between groups\n", "############################################################\n", "Multiple Comparison of Means - Tukey HSD,FWER=0.05\n", "============================================\n", "group1 group2 meandiff lower upper reject\n", "--------------------------------------------\n", " 0.0 1.0 -0.0027 -0.0224 0.0171 False \n", "--------------------------------------------\n", "Test Multiple Comparison ttest_ind \n", "FWER=0.05 method=bonf\n", "alphacSidak=0.05, alphacBonf=0.050\n", "============================================\n", "group1 group2 stat pval pval_corr reject\n", "--------------------------------------------\n", " 0.0 1.0 0.2653 0.7909 0.7909 False \n", "--------------------------------------------\n", "############################################################\n", "GLM results for effect of subtype weight on amyloid (AV45)\n", "############################################################\n" ] }, { "data": { "image/png": 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Oa7VN5kzGsyVu+fLTvrVYb8yHjg7zF98/TaWxY0v4i++f9t2DlcJ3OF1kKm82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\nZMZwah+nyOmrXXfgZ4+5FjetnMWuRKIeNzoZOEZV9RCAd7u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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ " OLS Regression Results \n", "==============================================================================\n", "Dep. Variable: AV45 R-squared: 0.292\n", "Model: OLS Adj. R-squared: 0.281\n", "Method: Least Squares F-statistic: 25.39\n", "Date: Sun, 10 Dec 2017 Prob (F-statistic): 7.74e-33\n", "Time: 20:09:57 Log-Likelihood: 116.96\n", "No. Observations: 501 AIC: -215.9\n", "Df Residuals: 492 BIC: -178.0\n", "Df Model: 8 \n", "Covariance Type: nonrobust \n", "==============================================================================\n", " coef std err t P>|t| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "Intercept 0.8411 0.209 4.020 0.000 0.430 1.252\n", "sub3 -0.0334 0.049 -0.689 0.491 -0.129 0.062\n", "mean_gm -0.1740 0.247 -0.703 0.482 -0.660 0.312\n", "tiv 9.089e-08 7.35e-08 1.237 0.217 -5.34e-08 2.35e-07\n", "age_scan 0.0026 0.001 1.842 0.066 -0.000 0.005\n", "gender -0.0450 0.019 -2.423 0.016 -0.081 -0.009\n", "AD 0.2638 0.027 9.670 0.000 0.210 0.317\n", "sMCI 0.0495 0.021 2.398 0.017 0.009 0.090\n", "pMCI 0.2952 0.030 9.829 0.000 0.236 0.354\n", "==============================================================================\n", "Omnibus: 23.940 Durbin-Watson: 1.910\n", "Prob(Omnibus): 0.000 Jarque-Bera (JB): 26.601\n", "Skew: 0.506 Prob(JB): 1.67e-06\n", "Kurtosis: 3.502 Cond. No. 6.94e+07\n", "==============================================================================\n", "\n", "Warnings:\n", "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n", "[2] The condition number is large, 6.94e+07. This might indicate that there are\n", "strong multicollinearity or other numerical problems.\n", "############################################################\n", "F test on full and reduced model:\n", "############################################################\n", " df_resid ssr df_diff ss_diff F Pr(>F)\n", "0 493.0 18.407777 0.0 NaN NaN NaN\n", "1 492.0 18.390038 1.0 0.01774 0.474597 0.491204\n", "############################################################\n", "GLM results for effect of subtype weight on amyloid (CSF)\n", "############################################################\n" ] }, { "data": { "image/png": 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udDzZss22nlTVe+sJ8Vv2DrBvIM2x0TyOp+peDaSTnJookIz4aKaKNiMZFR12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\nwe/W/0zXQBWHTle6LnNLWaZTGcDdX6pnpWmiis0TViNSjru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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ " OLS Regression Results \n", "==============================================================================\n", "Dep. Variable: ABETA R-squared: 0.235\n", "Model: OLS Adj. R-squared: 0.222\n", "Method: Least Squares F-statistic: 17.73\n", "Date: Sun, 10 Dec 2017 Prob (F-statistic): 3.99e-23\n", "Time: 20:09:58 Log-Likelihood: -2488.4\n", "No. Observations: 470 AIC: 4995.\n", "Df Residuals: 461 BIC: 5032.\n", "Df Model: 8 \n", "Covariance Type: nonrobust \n", "==============================================================================\n", " coef std err t P>|t| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "Intercept 231.2915 45.337 5.102 0.000 142.199 320.384\n", "sub3 -2.4210 13.074 -0.185 0.853 -28.114 23.272\n", "mean_gm -52.1598 61.290 -0.851 0.395 -172.603 68.283\n", "tiv 1.853e-05 1.88e-05 0.985 0.325 -1.84e-05 5.55e-05\n", "age_scan -0.5263 0.343 -1.534 0.126 -1.201 0.148\n", "gender -7.0488 4.750 -1.484 0.139 -16.383 2.286\n", "AD -69.1868 6.873 -10.067 0.000 -82.693 -55.681\n", "sMCI -29.7451 5.823 -5.108 0.000 -41.188 -18.303\n", "pMCI -57.0219 6.894 -8.272 0.000 -70.569 -43.475\n", "==============================================================================\n", "Omnibus: 22.082 Durbin-Watson: 2.065\n", "Prob(Omnibus): 0.000 Jarque-Bera (JB): 23.890\n", "Skew: 0.539 Prob(JB): 6.49e-06\n", "Kurtosis: 3.239 Cond. No. 6.09e+07\n", "==============================================================================\n", "\n", "Warnings:\n", "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n", "[2] The condition number is large, 6.09e+07. This might indicate that there are\n", "strong multicollinearity or other numerical problems.\n", "############################################################\n", "F test on full and reduced model:\n", "############################################################\n", " df_resid ssr df_diff ss_diff F Pr(>F)\n", "0 462.0 1.092506e+06 0.0 NaN NaN NaN\n", "1 461.0 1.092425e+06 1.0 81.253993 0.034289 0.853175\n", "############################################################\n", "GLM results for effect of subtype weight on tau (CSF)\n", "############################################################\n" ] }, { "data": { "image/png": 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XkLDgpqva49e01rx8bgzHUmYSA/xAU/RNJvzNV7WRc31G8i5aw5qmREMO38i5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\nSUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ " OLS Regression Results \n", "==============================================================================\n", "Dep. Variable: TAU R-squared: 0.185\n", "Model: OLS Adj. R-squared: 0.171\n", "Method: Least Squares F-statistic: 12.75\n", "Date: Sun, 10 Dec 2017 Prob (F-statistic): 1.43e-16\n", "Time: 20:09:58 Log-Likelihood: -2439.8\n", "No. Observations: 457 AIC: 4898.\n", "Df Residuals: 448 BIC: 4935.\n", "Df Model: 8 \n", "Covariance Type: nonrobust \n", "==============================================================================\n", " coef std err t P>|t| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "Intercept 31.3384 47.884 0.654 0.513 -62.767 125.443\n", "sub3 15.0843 13.953 1.081 0.280 -12.337 42.506\n", "mean_gm 39.3524 65.797 0.598 0.550 -89.956 168.661\n", "tiv 1.748e-06 1.99e-05 0.088 0.930 -3.74e-05 4.09e-05\n", "age_scan 0.3065 0.362 0.846 0.398 -0.406 1.019\n", "gender -14.2556 5.067 -2.813 0.005 -24.214 -4.298\n", "AD 61.5693 7.267 8.472 0.000 47.287 75.851\n", "sMCI 22.6386 6.191 3.657 0.000 10.472 34.806\n", "pMCI 44.9063 7.296 6.155 0.000 30.568 59.245\n", "==============================================================================\n", "Omnibus: 245.931 Durbin-Watson: 1.885\n", "Prob(Omnibus): 0.000 Jarque-Bera (JB): 2317.282\n", "Skew: 2.138 Prob(JB): 0.00\n", "Kurtosis: 13.169 Cond. No. 6.15e+07\n", "==============================================================================\n", "\n", "Warnings:\n", "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n", "[2] The condition number is large, 6.15e+07. This might indicate that there are\n", "strong multicollinearity or other numerical problems.\n", "############################################################\n", "F test on full and reduced model:\n", "############################################################\n", " df_resid ssr df_diff ss_diff F Pr(>F)\n", "0 449.0 1.163361e+06 0.0 NaN NaN NaN\n", "1 448.0 1.160334e+06 1.0 3027.040651 1.168727 0.280245\n", "############################################################\n", "GLM results for effect of subtype weight on MMSE\n", "############################################################\n" ] }, { "data": { "image/png": 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ZfikhdQo/YGhdOh+7XOYbJ2djAtH3p8o4vqRgNZKayVnUgGXw/EQpLp3MmhrDeZMDYZ35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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ " OLS Regression Results \n", "==============================================================================\n", "Dep. Variable: MMSE_bl R-squared: 0.123\n", "Model: OLS Adj. R-squared: 0.119\n", "Method: Least Squares F-statistic: 36.34\n", "Date: Sun, 10 Dec 2017 Prob (F-statistic): 6.36e-35\n", "Time: 20:09:59 Log-Likelihood: -3046.5\n", "No. Observations: 1305 AIC: 6105.\n", "Df Residuals: 1299 BIC: 6136.\n", "Df Model: 5 \n", "Covariance Type: nonrobust \n", "==============================================================================\n", " coef std err t P>|t| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "Intercept 21.7032 1.423 15.254 0.000 18.912 24.495\n", "sub3 0.6473 0.382 1.694 0.091 -0.102 1.397\n", "mean_gm 21.4288 1.710 12.533 0.000 18.074 24.783\n", "tiv -2.384e-06 5.66e-07 -4.210 0.000 -3.49e-06 -1.27e-06\n", "age_scan 0.0151 0.011 1.402 0.161 -0.006 0.036\n", "gender 0.3368 0.143 2.353 0.019 0.056 0.618\n", "==============================================================================\n", "Omnibus: 122.202 Durbin-Watson: 1.933\n", "Prob(Omnibus): 0.000 Jarque-Bera (JB): 155.799\n", "Skew: -0.834 Prob(JB): 1.47e-34\n", "Kurtosis: 3.294 Cond. No. 5.63e+07\n", "==============================================================================\n", "\n", "Warnings:\n", "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n", "[2] The condition number is large, 5.63e+07. This might indicate that there are\n", "strong multicollinearity or other numerical problems.\n", "############################################################\n", "F test on full and reduced model:\n", "############################################################\n", " df_resid ssr df_diff ss_diff F Pr(>F)\n", "0 1300.0 8161.84095 0.0 NaN NaN NaN\n", "1 1299.0 8143.85339 1.0 17.98756 2.869138 0.090533\n" ] } ], "source": [ "get_subtype_results(sub_img, 3, adni_df)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# subtype 4" ] }, { "cell_type": "code", "execution_count": 94, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Running analyses for subtype 4 ....\n" ] }, { "data": { "image/png": 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jqlXFo+pbAfyQTV/EcpMshrPJFcagG2ojiqIMhQjAwRHfizrxFWUSIp2zRwZ3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\nuX+uT8ftl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nMuvHRvbe31YiYjDdthDPinmM26Lrdm6jCAAaYIY/ZonaAu2+b5livKaBRW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\n+CpExcnZAM2uVv82kx+dfOr1drkR7ngPd4j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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "############################################################\n", "GLM results for effect of diagnosis on subtype weight\n", "############################################################\n" ] }, { "data": { "image/png": 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SoUMHzp8/j0KhkCIIZ2dnaazCzp07pQxFRUUFXl5eFBYW0qJFC8aOHYtOp8PN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\ne/Zs6+e619Fs2LCh1SaOM2kxy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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ " OLS Regression Results \n", "==============================================================================\n", "Dep. Variable: sub4 R-squared: 0.033\n", "Model: OLS Adj. R-squared: 0.028\n", "Method: Least Squares F-statistic: 6.291\n", "Date: Sun, 10 Dec 2017 Prob (F-statistic): 2.80e-07\n", "Time: 20:10:05 Log-Likelihood: 528.78\n", "No. Observations: 1305 AIC: -1042.\n", "Df Residuals: 1297 BIC: -1000.\n", "Df Model: 7 \n", "Covariance Type: nonrobust \n", "==============================================================================\n", " coef std err t P>|t| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "Intercept -0.1662 0.094 -1.762 0.078 -0.351 0.019\n", "mean_gm 0.3169 0.120 2.650 0.008 0.082 0.552\n", "tiv -2.332e-08 3.71e-08 -0.629 0.530 -9.61e-08 4.94e-08\n", "age_scan 0.0007 0.001 0.980 0.327 -0.001 0.002\n", "gender 0.0008 0.009 0.091 0.927 -0.017 0.019\n", "AD 0.0746 0.014 5.411 0.000 0.048 0.102\n", "sMCI 0.0058 0.012 0.498 0.619 -0.017 0.029\n", "pMCI 0.0605 0.013 4.483 0.000 0.034 0.087\n", "==============================================================================\n", "Omnibus: 3.612 Durbin-Watson: 2.054\n", "Prob(Omnibus): 0.164 Jarque-Bera (JB): 3.520\n", "Skew: 0.093 Prob(JB): 0.172\n", "Kurtosis: 2.827 Cond. No. 6.06e+07\n", "==============================================================================\n", "\n", "Warnings:\n", "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n", "[2] The condition number is large, 6.06e+07. This might indicate that there are\n", "strong multicollinearity or other numerical problems.\n", "############################################################\n", "F test on full and reduced model:\n", "############################################################\n", " df_resid ssr df_diff ss_diff F Pr(>F)\n", "0 1300.0 35.119217 0.0 NaN NaN NaN\n", "1 1297.0 33.977439 3.0 1.141777 14.528124 2.603900e-09\n", "############################################################\n", "Pairwise post hoc t-tests between groups\n", "############################################################\n", "Multiple Comparison of Means - Tukey HSD,FWER=0.05\n", "=============================================\n", "group1 group2 meandiff lower upper reject\n", "---------------------------------------------\n", " AD CN -0.0618 -0.0951 -0.0285 True \n", " AD pMCI -0.0099 -0.0468 0.0269 False \n", " AD sMCI -0.0577 -0.0909 -0.0245 True \n", " CN pMCI 0.0518 0.0182 0.0855 True \n", " CN sMCI 0.0041 -0.0256 0.0337 False \n", " pMCI sMCI -0.0478 -0.0813 -0.0142 True \n", "---------------------------------------------\n", "Test Multiple Comparison ttest_ind \n", "FWER=0.05 method=bonf\n", "alphacSidak=0.01, alphacBonf=0.008\n", "=============================================\n", "group1 group2 stat pval pval_corr reject\n", "---------------------------------------------\n", " AD CN 4.8293 0.0 0.0 True \n", " AD pMCI 0.6677 0.5046 1.0 False \n", " AD sMCI 4.3858 0.0 0.0001 True \n", " CN pMCI -4.046 0.0001 0.0004 True \n", " CN sMCI -0.3623 0.7172 1.0 False \n", " pMCI sMCI 3.6204 0.0003 0.0019 True \n", "---------------------------------------------\n", "############################################################\n", "GLM results for effect of APOE4\n", "############################################################\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/Users/AngelaTam/anaconda3/lib/python3.5/site-packages/scipy/stats/_distn_infrastructure.py:879: RuntimeWarning: invalid value encountered in greater\n", " return (self.a < x) & (x < self.b)\n", "/Users/AngelaTam/anaconda3/lib/python3.5/site-packages/scipy/stats/_distn_infrastructure.py:879: RuntimeWarning: invalid value encountered in less\n", " return (self.a < x) & (x < self.b)\n", "/Users/AngelaTam/anaconda3/lib/python3.5/site-packages/scipy/stats/_distn_infrastructure.py:1818: RuntimeWarning: invalid value encountered in less_equal\n", " cond2 = cond0 & (x <= self.a)\n" ] }, { "data": { "image/png": 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VaqVt27Z88803gHMe+6RJk/D29mbJkiW89NJLNDQ0MH/+fC5evMiPP/5IYmIi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\n4zEajdhsNt555x1yc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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ " OLS Regression Results \n", "==============================================================================\n", "Dep. Variable: sub4 R-squared: 0.012\n", "Model: OLS Adj. R-squared: 0.008\n", "Method: Least Squares F-statistic: 3.042\n", "Date: Sun, 10 Dec 2017 Prob (F-statistic): 0.00979\n", "Time: 20:10:08 Log-Likelihood: 514.58\n", "No. Observations: 1305 AIC: -1017.\n", "Df Residuals: 1299 BIC: -986.1\n", "Df Model: 5 \n", "Covariance Type: nonrobust \n", "==============================================================================\n", " coef std err t P>|t| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "Intercept -0.0862 0.094 -0.922 0.357 -0.270 0.097\n", "mean_gm 0.0484 0.112 0.432 0.666 -0.171 0.268\n", "tiv 1.018e-08 3.7e-08 0.275 0.783 -6.24e-08 8.27e-08\n", "age_scan 0.0004 0.001 0.577 0.564 -0.001 0.002\n", "gender -0.0032 0.009 -0.341 0.733 -0.022 0.015\n", "APOE4_bin 0.0351 0.009 3.842 0.000 0.017 0.053\n", "==============================================================================\n", "Omnibus: 3.339 Durbin-Watson: 2.068\n", "Prob(Omnibus): 0.188 Jarque-Bera (JB): 3.398\n", "Skew: 0.112 Prob(JB): 0.183\n", "Kurtosis: 2.889 Cond. No. 5.65e+07\n", "==============================================================================\n", "\n", "Warnings:\n", "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n", "[2] The condition number is large, 5.65e+07. This might indicate that there are\n", "strong multicollinearity or other numerical problems.\n", "############################################################\n", "Pairwise post hoc t-tests between groups\n", "############################################################\n", "Multiple Comparison of Means - Tukey HSD,FWER=0.05\n", "===========================================\n", "group1 group2 meandiff lower upper reject\n", "-------------------------------------------\n", " 0.0 1.0 0.0344 0.0166 0.0521 True \n", "-------------------------------------------\n", "Test Multiple Comparison ttest_ind \n", "FWER=0.05 method=bonf\n", "alphacSidak=0.05, alphacBonf=0.050\n", "=============================================\n", "group1 group2 stat pval pval_corr reject\n", "---------------------------------------------\n", " 0.0 1.0 -3.7988 0.0002 0.0002 True \n", "---------------------------------------------\n", "############################################################\n", "GLM results for effect of subtype weight on amyloid (AV45)\n", "############################################################\n" ] }, { "data": { "image/png": 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Hj4/QmVbXsuj66ru6HgnTLONeCj+3uSPFhckiJQ+u7mnl3lv2NCwYaymHwwMT\nFD3J2bF8WWxrJResatRG3YojUBb/AOwKXhoC/nFRZqWxIChrQgS7RxEphQsT09ZEuNPc0pWKdrSW\nIbi6p3VRdlH17DajHXjBieaUMAWjuerCshYmih4/tDbDDwYmg+prgev5FL3pRBBXSmxD4PqKA+qT\nb5/ZxCgUqLmSjy8lF7MOviSyZsKiw/d84RnWZhIMTpaiYP3WznQghCV7+9qqCuE79u2IWtyahkor\nBkFrwmA072IZokzxr83YMxTcjK5+HSmEUNxToctpa3c6cNt5ZEseD77zmgrupYW3Bw5Rjc0gzHTr\nabXJlTyKrs+pkTx9beVKrFGs5kD7akfdikMI8SsoLqhuYAeKjPD/A25anKlpzBcnRnKsb0tyZryA\nF/jZpZSUfFl1p7mrpzUK7t17y55FmVM99CjTO3BHWQqGoORJ3ILLgSODDTX3CWk0HE9G3z2EAFxP\n9YNIBRZO5djxoPFUyQsaREkGJoskTANBYB34kqEph4lAUCsFU2JLZ5o9fW1MlVzWtCaqzn3/nj46\nwpRfb9qlODBRjBjbvChOImcouLhy86XE9SX9QzlVde5LbEMpjo6UTUfKZixf4tx4kV976Fm2d/dH\ngraZLpdqdCpDU06U6ZayTAazxYh3K67Ewu9UjzKYza0Z/n5aoSweGukA+OvA64AJACnli8DaxZiU\nxsKwvbsF2zLY0pkmYYnIv763L7NsLJ/1FGfdsW9HtJsXEFhM0NNqRwHjeupO4jQani8pBQOFSa0J\nyyBpGaRtg02d6apNhE6M5HA8n9OjhahrnZTKKpBB/UnSMhicLGIGpICliMlWMJhVlGpz+fD3rmtj\nU2eal61vjyjTi65PS6L890uYBh0psya5ohlYT6CUlxBQ8olIEscLDqdGCxiCRa103r9nutXu9y9M\nMjBZJGmKKNMtpIZ/2fo2utL2DKVRL8twLWboOx85PK9WyUtZz3Q5oBHFUQx6ZgAghLCowWSrsbwI\nBadlKmviqjUtrGtLce8t5e1TlrLqvB5FtX9PH+0pk4RpUPJ8ioGP/8JEkafPjJX1jhjKFnn8+DC3\nfuYQ9zz6QtVz7erN0N1iI4S60ZOWcv0gQaCKuGoFgJXVUkRKP6jDmL7ZS9500WExkNbJQBmF3QfD\n1+fy4c9WSDctZNvZ1Jli77r2ss/GaTDCeqywFWu4sH1fWVznx1UHwQ3tqUWtdK5stbuuLUnRk1zM\nlnOTVrsujbQ5rsVLdfRSruFWyY3S4ms0Fhz/hhDi94G0EOLNwK8B/7w409JYCFZqqmA9LpGXrGvn\n++fHyQZbFAF4EsaLHr/+0LMHgeeIAAAgAElEQVQ4QbaSISBhGri+5CNfPcb1mztnKKHweZii25qw\nogymgiPJJK2aVtYd+3bw43/1bfwqc5RAW9KkPWVFMYhMwmSs4FJwfQRKkdTLWRX+Vk+fGWPKUSSD\n5ydUTGJrV0vNGoG4+8+XkDDACSacTpi02gZjBY/RvIrNbOlM0RGLMy1GRlO1BIeeVpuhKYdM0pq1\n5qGRrKtars/wM7XGqOYKW21pwishttOI4rgT1UjpWeD/Ab4E/NViTEpj4VitqYJ37NvBj3/q28C0\na0kAhgEnR/O02gaGACPIWArdRLUWucpyKnFsKEfCFKxvS7KxI1WzQj6+KJV/avq9+NOpks+58QI7\ne1o5PZrj0pSDKcA2wPWDLKbRPJmkGe12a/0e+/f08dSZMR4/PoIhwLYEJV8ynHNxvSmu3dxZVTjE\n4wkJU1DywDZhS2eajrSqxt+zTlUyh8ozjoVmNFUTYNWE/9pMEseTrG9PzbqRaaRNQC1q+t29rVV7\nt2/rbqkZF8mWHDZ1pMvGX6lpwiuliLIuV1VQs/E3Usr/X0r5dinlTwePtatKo6kIb/5IaQSWRSJw\nMRUCYsMQYayh2iIPF1nJ89napaghTo3lSZiiKgnhPY++UOayqLy7w6eWIdjWrWIj33v/PrZ0pUmY\nqmNeyjZZ15aIYgubOtJ1uT4+/tjxICHAQAiDpGmSMAXCELO6ETNJg5MjeYqeREJNjq16CQDr9fXX\ncu+0J82qDLV717Vxx74dbOtu4cRIjvsO9i+IrLGW6/PeW/bUHKOWK6zkyUVj1W02GnHnLSbqsjik\nlJ4QolcIkYjHOTQ0FgPtKYtcycMypvc1ri9J2yqGUPR8fF8JcgFkklbVRV5ZBLmhQ/EvrWlVgdrK\nndtHvnqMnlabrpZUWa/tSkgpcTw/UlZh+m/IKXX0UjayhMLFPZfrY7LoYSIpuB5SKoVpCVWFXQ3x\nnefevgw5x2Ms79DdYlft2FeP+7KR3Wwt9w4ISq5PpSWwb8eauqheGnGx1rKqa43xaw89W9UVljRV\nTU+txlorCSuliLIRV9VJ4N+DfhhT4YtSyo81e1IaKw9L6Vf9rddfxYf+7UVc31cV7UE20+/duJOj\nl7I8+PT5ID1WKY7xgjejT0W8CBKpUmqPDSkqkLAyu1Lwub7PWN6lrw0Gs0UsU6i03Yr5GQJOjRbY\n26dqKipdLMVYnCPEXIs7ZRlMlbzIHSYllIJ04WpULUcvTam6jfYUIjH9Pda0Jvne+6uT7IWCNhyv\nMi23EV9/LQE2mne4/9aXzRDc9Y7dDBdrrTFqucJCa2ilxQSrYaV0/WxEcZwP/gxgZv6ixmWLZvlV\n61U+d998NaDcN9miRyZp8luvv4q7b76aGx94go0dScYLLkXXJ2kZdKQsDvYPc3dsjLAIsuT6xOr+\nKLg+hazPyIkRtnSmys6bsowoG6ro+lhCgAmOV646DKEoSyYKJW584IkZLL1hwDxOuT3X4u5ttaN6\nkTiKrs97vvAMnWkbEzgyOBUoFpX6e3oszxZUmms9O8/ZfstmBKe3dbdUFdy1dvuLvVMuV7pWVExa\naVmslpjgXG2HlwqNVI5/cLb3hRD/U0r5Xxc+JY2VhmZknTSqfO6++epIgcRxYiTH2kyyjM5aSjlD\nAIVFkMdH8pFLK4RtgOdLTo0WEELQkVICrTOtsn9Urw+VEiwQWIYKwpcCBZKwBK22ydnxIinbYmNH\nCtssMjTlMFlwEULg+T7nJwpIKbEDepNq8YRQqA1MljCgLIvLDJ5PFFw2dqQ5Op7FEKq3t+MpNxhS\nWUeVHFSV49eTQdSM4HQtAbaQnfJ8rd1q/GgqZjaTXHO1oB53nu9LPCnxfPXnS8WV5kuJHzwPe+FI\nYsf49YesG7E45sLrmjiWxgpCM/yqlQLL9SUDkwVu/cwhbthWP81FvQIoPC6sog6XhEAFoH1PuZPO\njxdoT1rkHEV/cddNWznYP8xoroRbkPS02ozlHUqexDZFlLF0ZHCShGlE8wgV2dCUw7buNI7nc2Gi\nyMnRPEnLmJFdVSnULk4W8YGkKTCD2E5YvOh401aQGSiOsG+GQFJ0ZwaSaynqqZLLxo5ySyv8Le+/\n9WW8+/PPcHo0j+sri6YtaVVl4200HjHfnfJCrN3qSnJ2d95KghLo6k8pASXwX7O1i7/7+VfhBcLe\n89XGKTx+KTKWmqk4NFY5au3sKoX1eN7h/EQBX6qspHqEflz5jBccVZGNuskbEQb1CqCIUsUUeAKK\nnqpGDxmBWxIma1sTnJsozth9hi6vA0cGufORIwxmS7ieovCIMnU8GWVqhRjLO3i+jK6TEIKTI3mg\nPLuqGsX4hvYU/cM5Sp4kJaZ3g7YBlqkUSUh9LoC0rehJzo+r32F9e6rsd4goUzzJi+NTERcZUDNd\nVc1ZvaYSJkX0vBoace/Mt7ZoLmt3NmtkuQLJvj/d3TIU/OFjz6/+uPx49X8lQysODWD2nV1cWDuu\nz+mxAhLY2pWqW+jHlc/gZDHgzxIkrfqyjkLUK4DC4+585DCHB7MYqFoQIKj6TmGZghu2dc3asS1b\n9NixpiWyIE6N5dnbl2FvXyaiMglRcH1S1nTxWZyOJJ5ddecjhzlycUq5m1B9qzd2pOjL2AxmnSgL\nrDNtBy4p1V1ubWtCXXsJGztULGVdW3WqmBMjOUzgzHghYt71fMVnVcvPH1K5b4zVNEyVmlcIN584\nwmzCfy5rpFH3mAx39nLadVMm0P2Zwn21CfxmoZmKY5a9ydJDSlnWclNjdsy2s/va7a+NhPWTJ0ex\nTcGGjlQUG6hH6MeVT8HxMISqe+jLqF17IzvBegVQPIso7EpnGrC+TSmNWq6SaoyznekEnelEQFqY\nrGr5WIYR0ZhDeXZVWLGedxQxYhwFx+fkSJ51bQletr6NNa2JMqUI04pyT18rIJgsujOsjDi2d7fw\nrVOjSmkEloaai+rpUXmO2dJVG92hVwakQTJR9MosgnrjFrMJ/z/5+jFsc7pSPG2b+NLlI187xuu2\nd3P7DVu545+P4PoOacsg7/qUXMl7rt/M2bH8DEvgyhD5zUEzFccnmjjWguB4kheHVMawIYSqPA58\nwyqFU2AY6n9IYAfKtSBg5mvB8/j7UP756LWyMap/diUqtLnM+lAIV+uDXY9wKbcU8lEqaUiBsZgp\nhZVpqCdHcjWFbiXjrJRwerTAli7oSE1nLlWzfH72lRv57FNno3aiER2JbXJ6LI9AVA1AStTuVrHf\nXlNTKcYF7Vy9Mu7Yt4O3fPoplY6MSmdWcQt4bjDL66/qLmuiBc1J9ZwuulSsuCfdPALoy9icH8/z\n6//wLO981Qj/6zvnsE1BR9Li7Fie2//+We79cYcbd/ZGWWMSePf1m/mDA8/jeMqay7sejiu57ZUb\n+aNHX6AjaTGUKzGcLVHyVLOr4SmHgcki12zs4ANv3smnvnWGc+N5Nnak+aXXbObVW7tmFPxpNIY5\nFYcQ4uVSyu8Hj23g94BXAz8APiylzAFIKT+ziPOcN0LT0VtBJmSlIqlUbrMqHcqVGTPeL1dmle8Z\nsdeMWAl2o0Hn+QiXuAB/30M/wDIFUsq6AqXNqCOpx1KJW15hTMEQyu1U2Xio2njXb+6MlMnOnlYG\nJ4uMF10E4DNzVytj/2vdo/MJEO/f08fevgzHhqZUP/Hgt/YlpC1jxhhSSn7nDVfxXx/6AVI6pG2T\nS1mVKTYyVeIN9/87v/mj23nz7rVIZBlLsJQyqLWRfPgrR8k5LsNTpYg3SwIDWYeEpZTpJx4/QW9r\nIuIaS5gGnu/x54+d4NpNnWXf4zVbu/iDN++aIfxfv2MNmzrSnByZYiTnIoRiAnY8ieu7fKN/iDfs\n6In+NJoLMRdriBDiaSnltcHjPwPWAH8N/CSwRkr5CwuagBA/hrJWTOCvpJT3VryfBP4GeBUwDPyM\nlPLkbGNe88pXyS8++o2FTOuKQaiIHusf4o++fBTbEqQtk0Kws/vQ/qu5cVdvZFF9/cUhPnDgeRKm\nIG2b5F0fx5Xc++M/xJt3r414pMoUojHTUvvX5wf52GPHOTWSY2t3C7/9+qvK6EaEmFZyccEZ98s3\nSgNfj/Lp+8N/JVfyKXl+1JHPMpT1saOnteHzHjgyyK2fOYTj+YTGxmwrLmkK7rxpJ//tzVdHjLdv\n+ssnGZgo0BIqa6liD33tSf75Pa8JGHGVdRTu1KWErxy9xF1feh7bVAkIYT3KhvYUbSmbXMmlN5Pk\nb297ZTSnb/QP8alvneHYUJbJokdX2mJNS4KCq5iK7755V01B/I3+ocDaqP4NW22DrV1pnr80xQ/1\ntpZZrVJKJoouX62IN4XzOTueZ1OgNMLzh+eTUmIEWWYg6W6x2dbdyt/c9spZrvTiQ8ZiJW4QL3H9\n6ThK1df9mcfEX5t+j/L3gjH88LXYZ8Pnvl9xnopjPCn5l1/+4e9IKa+b67vV46qK+1VuAq6XUjpC\niMeA7833okLEgXU/8GbgLPCUEOJhKeXh2GG/BIxKKXcKId4BfBTVxlajCQjdAp6UtCQMTgRZQNu7\nW/i9m6/ih7d1l5n1r66xA7x2UyfDudpsNNUEwCfffk3ZMSdquLs++OhRciWXwaxLyfVJWAZtSYsP\n/dtRXra+PbKmanmpBYKPfaOfv/jmCTxfkrAMio7Hr/79s/z3/1zixl29AHz16CXG8y6+lFEwGVTT\nJw84MZzjqjVphqdK/K9DZ3jgyVOqAK8zze03bOXGXb1IZMRxJSW8ZF0br9zYznfPjUeKo5ZgtQ2l\nAD7y1WNs7EhFAvLY0BQdSSug8lCwDMGJ4VzU96PWdX7rS/v49ukxTozkSVkGPa0JMkkLKSUpy+Dc\neL7sqoU79F948LtcyhZJx+IHU6Uiv/PwYdpTVlUhfs+jLyJmUYs5xydbdEnbBhNFl6RlQqDoCq5P\nZ9rm0JmxSLg9c36cz33nHJYhsA3BieEp7vyX53nLS/vY1ZPBC4ogHQ8cX/1mLQFT8OHBST7+jeNl\nAneGgK4iOL3Zji8T0JSNUUvYX66ox+I4DvwOqmL8w1LKPbH3vielvKbmh+c6uRA3AH8kpfxPwfO7\nAKSUH4kd8+XgmCeDHiADQO9sBIva4mgM4aJPmIKUZdS1u1zK8W/4H48zWVA8SKrLHoCkPWXxxG/8\naF3nr7YzbU2YeJJIEI7lHS5mi4zmXWB6x6SC+Ha0854oukgJHSmLlGWovh6e5K437eS127p5rH+Y\nvzl0lvMTBda1pVjTYvPVY8PRfCpIdwHVOtYIlJ/vw46eFt73I9vxfMn9/36SiYKDbRhBXxCJ46n5\nv/0VGyJBdXw4x2PHhzGEiLK5PAnXburg+cEsecfDNESg2GTkJnrZhvZy4edLnhucxAwSGAhcUaEg\ntAwRWTZJS3VDzDszq941mgMBWKbqJWMI9d80VKacZar/ZvCeHTw3AmUbHmcYRJ8zhMA2DAwDNUZ4\nnCH44ruub5rF8Q3gLcHj/xBC9EkpB4UQ61B9xxeCjcCZ2POzwGtqHSOldIUQ4yh32ULPrRHgU986\nE7megOC/x6e+daamYPcrzehK0zi2O/ufj5+M6gLyrmIn9Hyfj33jeCTIq5rwwfOpkocnVWJDuFn3\npSIG/PPHjpcJPV9KTo/lOTyQjYLURc+P0lrDOIIvYaygLCnXlwxlS2U9yaFcuA/nXIamXEBGcxjJ\nOWXHvO+h52Zcp4HJmVZYNQHr+RAXvS8O5fjNf5o5XhzDOYc/O3h81mMAHj8+UvO9nOPXfN+poQri\nO+m8U61jycJhCtX5sCxZJXB9Sqko2k1DUcoMTZUi12io0LZ1t9DTmogEp2mICsGphKspVJ2MOobo\nOKV8A8EcCumYgJ3x3BBYgcC2jHLhHo0Ze69cAVD7veD5UuGLdR43p+KQUr67xusDLLzfeLUrUnm3\n1nMMQoj3onqis3Hz5nlNZjZ/6mz+yvjzxfRXVhurltl9YaLAseEcuZJHyjbY1JGmM23NPLcvI8K8\nKFAr1eOTo3l++BPfxJeSoqv8/s20vi9Mlvjlv/t+3cdX5siXPMkDT5ya9TO5mGCrZaPWI/yquR0W\nc4dtCGhP2ZFgcz2fiYKLE5uHQAm6rV1putI2378wgW0IPDndgTC0btK2wZauNMNTDjnHJZOwWNeW\npH84hy9VhXrY3/z6LZ1saE/x1ReHIjfRQNBZSxVRCjJJK0hx9fjw/j38+WPHGS84qp3uRBEncO+F\nMFFULT2tCda0JvkfP/XSCoELtmEEglLFtirdZQB5x6M3kyyLX4TrNu461QHxxcW80nGFEH+z0KB4\ngLNAXMpvQhEpVjvmbOCq6gBmbJGklJ8EPgnQsW2P/NW//35D/sqpkstYjEr7wkSRb58eU2Y51QXH\nakHB9RnLT87rs6Oz0Is3E3H3TSg4onaosrprp8U2ecm6NiYKLufGCxRdH9dXtRO+VH8hu66InUgw\nbbm0p0ySpokQcDEQjoZQflkZOy5pioiGw/XVhKzgNTvI5gGYLcnTNsA2RNB6Fq5ak+b8WJ4pd+ax\nrbbBn/z4D5UJwLd86tscG5qKhGu4kbEMwed+7tpI0A5OFqMdqy/V/PraknSkbP7Pe14djfcLD36X\n1oTBSM5BIEiYSjk/fXac62/oZF1bkhMjuUhhG0LN35cwUXCwWmx29mS4cVcPpgH3PPoiphD0ZhJc\nmCiCBDvKipD0ZpJkEiZDU0X62pLMhm/0DzGWL3FqNI9tqjFtw6DkSX7pNeUbQ505tfSoJx334cqX\ngDcKIToBpJRvmfmpuvEUsEsIsR04B7wDuK3imIeBdwFPAj8NfG2uBlITBZevx3zKC4HTZIVhCCLz\nNW4WV/Nhxp9Hpm70WcW5FPdhjuRK/ODCJEVXWQbBeqU1aWIIQUvC5K0vXafM9JgJfXIkx6MvXFK7\ny0AY5h0/qnsZL0yLw46kSWfapuT5dLUk+MObdwemPlX9rqYh+PbpUf7s68dJWILByeJ0dk/ATntu\nTNFm2AaEKmR9ezLqU92WsLiUq1BgEn7x+s28bH0b9zz6ImtabFKWwfMXp/BRvSysoBufigtAV9qi\n6HoUA9qOzrTFhvZp2pCJgoPnqeB5yfNJmgYSSc5RGw8rCF6HysQIXvOk2l3P5lAI39vRk+HSVJHR\nnGrnur0nw5GBbJnCsQxlBX38G/3851j2Vv/wlLJOg4pzO3BznBzJ0Zow+fXXbeMPDjwf0IsECldC\nbyZBS8Lk/ESBdFDZLpGcG88zWfSCuiY1Q1NAyZX85ZOn2NSRYueaFo6P5PADZSlRStvzYTTv8qFA\niL9hRw9330y089/R08LpsQKO65M0VQ+UtqRF3vHKKtOrIR4T29Ce5NJUifPjRXb2tHLnTVdpJbEC\nUI/FsQk4jGoTqxzVcB3wZws9eRCzeB/wZZQ1+2kp5XNCiHuAQ1LKh4FPAX8rhDiGsjTeMde4a1pt\nfuL6TbP6Jo2YkLMMwZ8e7KfFNoPuciJY6KrG4E9+4iVqjBpCOxSUhgDbNGLnIibYpxXBQhGa5idG\nsmUutV948Lusa0tyZiyPZYiACE+5vDZ3pZgouvzW66+qOuabdvdEi35LVwtjeYexfImRXPl2eLzo\n0dFi05W2mSg4vGJjR835nR3Pk0moyuGi5zNZ8im4krQt6MkkaUtYnBzJRbELVWsg8HwYnlL8UEKo\nOpGQKTZU4z2tNt8+Pca3T4+VxWdCuJIZZkqu5NGWtHjFxgyv3dbFF5+5QNHzaQmqittTFlIqltww\n7ff0aJ7utEnJkxGNuwjcQErBSFK2gRs0XEoYqu1rJQxDBZKdoOdHb0ZVosM0I64hiChLPN/nxEgh\nErIHjgwSMpyEd5DjK8VlCMHGjjQ/f91meloT3Pa5p6PspdDSmCq57OxpZXPXtNDe1Zvhm8dHVLox\nlKUMe76kqyURPbaMaT980fVJmKrW5V3XbYkyyX7uVZt557WbkIG19+gLF3n/w4exY2nUvg9v3LmG\nX/rCM7xwMUvRU2NdvbaNX3/tNm7c1ctnnjpLyhKkg/TjzpYEuZJLd4vNf7p6bWSBqvPIKB1ZY+lQ\nj+K4DvhN4APAHVLKZ4QQeSllU9KWpJRfQvUvj792d+xxAXh7I2NubE9z1027GprHPz83WNWfurMj\nzY9s725orMVEfDfWkbS4lC1yz6MvcvfNcHY8T0fSCijBpQq6CSh5PgXXn3WnV2nu3/jAE0wW3Sgw\nWRYozpaw2pJVx4vPzxAqlVQA69uTdKQsim6BtqRFW9JCIALq8sA1JEOLjKgKGKYfh4rQNgXr21MM\nTKoe2l1pO1LIomKyoZA1BGxf08L69lTETXXjzp6yyu9P7FPtZOOvKUrzVFnNwbMXJpBScvXa6bY0\nz5wbVwF8Q2BJqRRXcP7uFoupkk9rwmJ9e4qRXIm1mZmumlqy78CRQW773NNlxYLh13R92NM3XXy5\nf08fD77z2rK6l1otWO/Yt4MnT45S8lVHRWLj+lKRUXakbFK2SSmwYsPvPFVSlCeJWLOqSrztmg20\nJMyy67lvxxo++9RZSp7HSGB1SWDi1Ci/dWmKv37HKzgftKONX3M7ZTMwWWRLV+1C03hBYqhMppWM\nnKFwIqXjy+g7V342Pkbl4ysZ9QTHfeDjQogvBv8H6/ncasMvvWYz9zz6IuCVpYxW+lOXG7NlQG3q\nSHMpW2RNa4ILE4Vgh6qqhhv9Lps60gxMFLEDiyx02QlUzMTxJLe/dmtgpSkl8fVjQ7z/nw8zVfRI\n20YUE5BSxUp292Youh7DOZeuFkmLbWCbhmp61GYznHMjt5JtGpEFMFl0o5oKiWBde4qC63PVmlaA\nskr2loTa2Xr+dPW8KVQv8EpqlFqV5PHXbnzgiRnMwK6vBMjRS1n6Mkk60jZJy8DzlVLzpcCWMnKT\neRLe9vJ1nJ8ocmJEMeBezBbpa1MtaoWYjuO4nodhGHgS9q5tjYofs0WXhAGlWDW2CP7uvWXvjPnX\nSwR51007+eCXj0bjhTEcI1Yt39eW5OSI6tU+litxYbJIyVOpvAeODM5aDFl5jW984AkSluDCpFOW\naOH4KkvtzkcOz5udQARpyPOhzZsPM4GMKxeoeKyU2Jefv8gnvnmckyN5tnaled/rlFUVKik/psSm\nH08rsJWKRho5nQXeLoS4BZhYvCktDyp9tCs1OyO0KuIIC7nuvnl3tNtf16Z8w44HV3W18P59O7hx\nV08V7i4l9MO0PyN47Y59O3jn555WAjt2B0uUEP7Lt7+8jP8p7IJXcn2SlsD1oRDEEiTglFRlcF9b\nCtcvsL49VUbL0ZG2aUmYXJgoUvIlV/e0RgIxZLhNGCJihY3voONkgx0pi7zjkzBkQM2igrl9bcl5\n8WFVYwYOFVLR9Tk9lmet60VKrqvFjo4zDcUgXHR9vvDMBda1JVibSeJ6PgOTJfKOp2IMMSup5AO+\nT2fK5N5b9nDfwX5Knhe1kg2VjEBlSu3saa2p/Cr7id/4wBMzBOPdN1/N/f9+IqqWT1oGGdtkOO+o\n2oygyK6n1SZlCU6N5UmYBlu7UpQ8v+FOkCEnWiHIZIt/d0PA0Us5Hrpl75J2uZtvz4+Q+seooagO\nHBnkd//lCAlL0NuaYGiqxO9/6QX+4la7rusVVyyVSqmaFRRnDZi2nCpeD+qEQtqYys/Xi7oVhxDi\nE8DnpZSPAI/UfYZVhJWcnRGmXm7uVFZFS8KKbte847Otu4X/cs1GutMJPvHNE5wezfGarV28/w07\nuGVvX8PEim+7ZgPPDU7y4a+8WGZtSJQv/KkzYwDRgpsqudGN7XjT3EjRzlgossC1GZu969rKqMzj\n5IOv2TqzqdNcBIXx3fWu3gxv2JHkH58dIOf4GEj62hIzlE29iO/ev3liBM+XqrgqcKM5nk+25PHg\nO68FqjMIH72UDZIMlOIMmz6pGg+1cy9JP1roRmAhATw3MMFY3sUwBJ43XZUugHVtKe69ZQ9zYS7B\n+JJ17TN2+KYpyJa8qFfJx97yEu472E/KtsqOa7QTZGhNVKLy9swkTY5eUkSlu3vV+RerU18zOlwu\nxrihBWWuLOJxoDGX09PAfxNC7Ab+EfiClPLQ4kzr8kO4y49nQcUrPo1o9z9tAcTfCwX/3W/ezfse\n+gGO50e7Mc+H379pFx1pm7dds4G3XbOhKXO+++ar+YfvX+D5wcnIRZIIBOZHvnqM3b2t0cIoedNu\nKdeXeLFeFRKV5QQhA2y58K6HfHC2Y+LvhUJyS1cax/W5MFnk0pRDbybJx94yO6PsbOcGVUgXKoww\ncy1lCZKmER1TjUE47/hBNz9PubfakqzNJBmYLPHy9e28ODSFNI2ogM2Tks60HVgbSlPYhoHneVEg\n3Qdu2NZZ1/eZS4BVUsRfDMgNO1JW02nX4w22ioEiFEynTW/uSEZKbm9fhpzjkS02t8iw0i11eGCy\nZlfEhWC5GkktBRpxVX0W+KwQoht4G/BRIcQWKWVjUehViHC3X03AG5Hwn37dNGYqgWZRqe/f08e7\nrh/j448dZ7Lo0ZY0+a0YQeB8MJt/d3CyGKWfhmy7YfD66KUp9vZlgCBjKFQeTPcvNoRSNr4kaLWq\ngqnV3CYLnStUCMmEyshRPTQSDfWBqMR9B/tJmCrW43rTFljRlYwX3DJff9xHP15wol4PhlDWWGh5\nZZJK8ce78/lSXcsW2+TwwCRTJQ/HU0qnEl945gK7e1+o2ps9fr2ePDmK5/ukbDPKsqoUYOEO3wty\neEPlFrdOmkG7Pt1g6wg/GAhqi+R0TKstqTLYmr37j1+PSutrvOBim8WyPvbNoPlvxvVaqZiTq2rG\nB4R4NYpk8CeBw1LKn1iMiS0EIVdVuMsvE/gxoR6W+of0Akb0vPxzK6l/RrOYYusZD+DWzxyiEDQk\nCmGZIiiIg23d6UhAnh4tELpeVDWyZFt3Omr4NFVySZiCwckSk0W3rK/1X7/jFXPOPz7XsCNfyfPZ\n25fh3lv21uwXIqVkNKX2UYQAACAASURBVO9w/60va/jahYrmseMjWEISZN2WZZpt6kiyqzcTud8O\nHBnkPV94homCW1a5bgfprF7AmXXXTTv57FNnGZgsBIpWcVVt6UxTcFU/C6VsfOLF7aHrzzJUbc7o\nh/fPer3C8cN4z5auFJYhIpdf/Jo8fzGL40m2dqWjXilhBlXlsc249yoD+KFVU+33O/6BNzV8jkpU\nJjsADE4Wol7x1b7XfDcbzV6rSwEhRNO4qsIBPwrcCvQDXwA+JKUcm/8UFw+2KdjV07qiBH6z0Gx/\n7GzjgaqXODdejGIVoNhi+zIJulvswI3g0p60WJuxGZpyaE2o+oGL2VJEiBcumtFciYtZJxrP8yV5\np8RbP/1tfuSqNbMuyqiPti85M1aMiimPDeXq2hVX+67ZYoGf/uyhKMNnd29r1CTpwJFB3v35Z6Ks\nrvieP5x/0hKszSRnuB/i+7HwulmmYtwNLa+7b76a6zd3Rt0JE+Z0d8KhcScISKsmUPEMhTDQWfIk\npfy0tVPeec+kfzhPISAf9KVSS6YB58cV+WLYLjZ+TaKMqmwxUhxx6ySTNDh6KRddq7j7r5qADX+3\nakK3mvtxe3f/ou7Sq7mP1maSOJ4fJWzE3XPzDZyH3y/evhjUNbsc0EiM4wTwWuAqIAm8PKCFeGxR\nZrZAXE5KI74gByaKbGxPQmL6/YX4TWfzw0rUovI8yUC2FAlL5X4yo6yneGD6k2+fXnB3PnKkLMD5\ns6/cyB9++Wh0njBVFVQ9QnxRhuPGBU4418ODk1FKLID0JGfG8tz2uaf5rddfxWefOku1jJxKH/14\nweH8eBEfRSkCcHgwy3u+8Ay3v3Ybf/L1fqZKtUlETEOwqSM9Q7Ddd7CfrhabTZ1pjl7KUnJlZCFs\nbE9xZizPxSmP9O89wu7elhnXMV7rIYRgC3BsuPrvK1AJCu+6fiyqj7iULXGyCnV7WPchxPSut/Ka\nqOZVfsR1BUpwtyWtKrGH6WtTKWBfvJTlJ//6KdygQHJ9e7IuoVutJW8zM6pqbSz2rmvna7e/Nlpr\nv/bQs2zv7md4qjjrxqoeSyRb9MusmUYz0VYi6nZVCSF+BfgNVCX5M8APA09KKW9cvOnND9ddd508\ndOjyiNtXmruzuRK+VtEEpx5UM93D8WC6RiLsmV1wfFqTJg++89pZ3TvVTHRfepwcLVb9jED52fOO\nR9IyaQuoTeKfzyRNRnIlzo4XZxQl2oZ6vqWzhXddv4mD/cMzdo83PvAEL17KMl5wKbp+RDAJShlK\nGXZkVMwABXfuoGyLbcxwtYXuspBDKx+4+iTTQeD49+5ImTz4c6+aUe8Qn2utHh6gXGXZkkcmYXIx\nW8LxymsAwi1UNffWjDqVghPVbPzQ2kzs2htlsQeYdj2uaU2W9WcHlUHnBAkSScuY4SKLu/VqWSmz\n1aDMF3O5ZivfOzY0xdbONJ0t0zs1KRVdS2vCntMNNdv6ms96XWw03VWFUhrXA/8hpXyjEOKHgA/O\nd4Ia9aHSlbChI8XJkTznJwq0p6wF78jm2uGF77WnLCxT1OWjreX+OnqputII4XiKkC9XUgHjTNJC\nCBF9PszKqmZLehJaEyYJS3Cwf7jqoty3Yw2PHx+Zrk6PSVc/yO6RUtGVeP7sSiOuuCqN2+3dLbx4\nKcvFbEmRB8YKKKNEA6Y5tMYKHr/+0LMc/8D0Na2c62w4O66ua8HxA7IcWTa/6L9UrsGpksf2P/4K\n27tb2NCeDILnMqDbUbn9Qhj0D2VxfEVt4niq8dOmjuk+8Y7rc/RinpSdi+JgJ4ZzJCwjYlsO44wg\nGZwssqunNbKOa7uBXrpoQnW24siwODF+3yZMgwuTxTLFkXM8ip6kqw6X8eWaWdWI4ihIKQtBUVVS\nSvm8EKJ2OodGU1B543WkbLZ2Sc6NF6Mc+4VmJf3FrS+tucOrpwK5cvwnT47iS0nSMqLK6hbbjGoU\nqvFGhsWIUbV7rHIZ1GIbzasU0fGCQ8Etry0Ji/xmW5QH+4dZ15ZgvOBWpVKXNR5XQ9IysE3B7t4M\ng5MFbvvc03SmbbYHtBpPnhwFFCGgLwW2EHi+HymOyvFPjOTLMrPicy26fs3rFkchZtlUQ6gYbGPa\nnfT48RHStoiuJygyyNaEyfnxYllv+4Lr0z+cY10mwYbONGfG8kEG3fTv4EmVftxil5fFGUHBZNyt\nt1j1E3OhVmp3NSG/vj3JqdFC1Nsl3FglTZX5Fke1e+9yzaxqRHGcDRhx/wn4NyHEKDMp0DWajGo3\nnm0a3LCtq+Fd2Xx2ePXUWFSOH7p9Sq5qqrQFFRh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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ " OLS Regression Results \n", "==============================================================================\n", "Dep. Variable: AV45 R-squared: 0.292\n", "Model: OLS Adj. R-squared: 0.280\n", "Method: Least Squares F-statistic: 25.37\n", "Date: Sun, 10 Dec 2017 Prob (F-statistic): 8.33e-33\n", "Time: 20:10:09 Log-Likelihood: 116.89\n", "No. Observations: 501 AIC: -215.8\n", "Df Residuals: 492 BIC: -177.8\n", "Df Model: 8 \n", "Covariance Type: nonrobust \n", "==============================================================================\n", " coef std err t P>|t| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "Intercept 0.8481 0.209 4.054 0.000 0.437 1.259\n", "sub4 0.0331 0.058 0.569 0.570 -0.081 0.147\n", "mean_gm -0.1722 0.247 -0.696 0.487 -0.658 0.314\n", "tiv 8.561e-08 7.35e-08 1.165 0.244 -5.87e-08 2.3e-07\n", "age_scan 0.0026 0.001 1.867 0.062 -0.000 0.005\n", "gender -0.0447 0.019 -2.410 0.016 -0.081 -0.008\n", "AD 0.2636 0.027 9.660 0.000 0.210 0.317\n", "sMCI 0.0498 0.021 2.411 0.016 0.009 0.090\n", "pMCI 0.2927 0.030 9.642 0.000 0.233 0.352\n", "==============================================================================\n", "Omnibus: 24.372 Durbin-Watson: 1.909\n", "Prob(Omnibus): 0.000 Jarque-Bera (JB): 27.265\n", "Skew: 0.507 Prob(JB): 1.20e-06\n", "Kurtosis: 3.526 Cond. No. 6.94e+07\n", "==============================================================================\n", "\n", "Warnings:\n", "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n", "[2] The condition number is large, 6.94e+07. This might indicate that there are\n", "strong multicollinearity or other numerical problems.\n", "############################################################\n", "F test on full and reduced model:\n", "############################################################\n", " df_resid ssr df_diff ss_diff F Pr(>F)\n", "0 493.0 18.407777 0.0 NaN NaN NaN\n", "1 492.0 18.395680 1.0 0.012097 0.323546 0.569744\n", "############################################################\n", "GLM results for effect of subtype weight on amyloid (CSF)\n", "############################################################\n" ] }, { "data": { "image/png": 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O5gqYQmAKQcULyNs+lgDDUOGeI+NFLu3PqKBsSJTsvmygq0q1V9KdNOhOWvzk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\n+P6b2OF3Yaz0hVd+hwCPf/jNfPf3bvZ93iNctXWUiXScqZE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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ " OLS Regression Results \n", "==============================================================================\n", "Dep. Variable: ABETA R-squared: 0.252\n", "Model: OLS Adj. R-squared: 0.239\n", "Method: Least Squares F-statistic: 19.38\n", "Date: Sun, 10 Dec 2017 Prob (F-statistic): 3.33e-25\n", "Time: 20:10:09 Log-Likelihood: -2483.3\n", "No. Observations: 470 AIC: 4985.\n", "Df Residuals: 461 BIC: 5022.\n", "Df Model: 8 \n", "Covariance Type: nonrobust \n", "==============================================================================\n", " coef std err t P>|t| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "Intercept 230.2816 44.848 5.135 0.000 142.150 318.414\n", "sub4 -45.7972 14.401 -3.180 0.002 -74.098 -17.496\n", "mean_gm -40.5465 60.693 -0.668 0.504 -159.815 78.722\n", "tiv 1.616e-05 1.86e-05 0.868 0.386 -2.04e-05 5.28e-05\n", "age_scan -0.5293 0.339 -1.560 0.120 -1.196 0.138\n", "gender -7.6776 4.702 -1.633 0.103 -16.918 1.562\n", "AD -65.7893 6.882 -9.559 0.000 -79.314 -52.265\n", "sMCI -29.0376 5.754 -5.046 0.000 -40.345 -17.730\n", "pMCI -53.6660 6.899 -7.779 0.000 -67.223 -40.109\n", "==============================================================================\n", "Omnibus: 17.904 Durbin-Watson: 2.055\n", "Prob(Omnibus): 0.000 Jarque-Bera (JB): 18.899\n", "Skew: 0.480 Prob(JB): 7.87e-05\n", "Kurtosis: 3.209 Cond. No. 6.09e+07\n", "==============================================================================\n", "\n", "Warnings:\n", "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n", "[2] The condition number is large, 6.09e+07. This might indicate that there are\n", "strong multicollinearity or other numerical problems.\n", "############################################################\n", "F test on full and reduced model:\n", "############################################################\n", " df_resid ssr df_diff ss_diff F Pr(>F)\n", "0 462.0 1.092506e+06 0.0 NaN NaN NaN\n", "1 461.0 1.069055e+06 1.0 23451.016247 10.112595 0.001572\n", "############################################################\n", "GLM results for effect of subtype weight on tau (CSF)\n", "############################################################\n" ] }, { "data": { "image/png": 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S6mjoWrupHWMQ1ieLiaOI60sQWqPZwPrvA28CXtZa7wLeBny/TWN4GPjlmtvuBZ7UWl8D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\nPfESn/3eK0yWvAXdexnb1ANdtbEj7gr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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ " OLS Regression Results \n", "==============================================================================\n", "Dep. Variable: TAU R-squared: 0.191\n", "Model: OLS Adj. R-squared: 0.176\n", "Method: Least Squares F-statistic: 13.21\n", "Date: Sun, 10 Dec 2017 Prob (F-statistic): 3.58e-17\n", "Time: 20:10:10 Log-Likelihood: -2438.3\n", "No. Observations: 457 AIC: 4895.\n", "Df Residuals: 448 BIC: 4932.\n", "Df Model: 8 \n", "Covariance Type: nonrobust \n", "==============================================================================\n", " coef std err t P>|t| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "Intercept 33.1550 47.731 0.695 0.488 -60.649 126.959\n", "sub4 31.4075 15.476 2.029 0.043 0.994 61.822\n", "mean_gm 33.8798 65.659 0.516 0.606 -95.157 162.917\n", "tiv 2.67e-06 1.98e-05 0.135 0.893 -3.63e-05 4.17e-05\n", "age_scan 0.2976 0.361 0.824 0.410 -0.412 1.007\n", "gender -13.9600 5.053 -2.763 0.006 -23.891 -4.029\n", "AD 59.4368 7.328 8.111 0.000 45.035 73.839\n", "sMCI 22.5035 6.165 3.650 0.000 10.387 34.620\n", "pMCI 42.4761 7.351 5.778 0.000 28.030 56.922\n", "==============================================================================\n", "Omnibus: 245.120 Durbin-Watson: 1.888\n", "Prob(Omnibus): 0.000 Jarque-Bera (JB): 2260.923\n", "Skew: 2.138 Prob(JB): 0.00\n", "Kurtosis: 13.023 Cond. No. 6.15e+07\n", "==============================================================================\n", "\n", "Warnings:\n", "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n", "[2] The condition number is large, 6.15e+07. This might indicate that there are\n", "strong multicollinearity or other numerical problems.\n", "############################################################\n", "F test on full and reduced model:\n", "############################################################\n", " df_resid ssr df_diff ss_diff F Pr(>F)\n", "0 449.0 1.163361e+06 0.0 NaN NaN NaN\n", "1 448.0 1.152763e+06 1.0 10598.109825 4.118758 0.043001\n", "############################################################\n", "GLM results for effect of subtype weight on MMSE\n", "############################################################\n" ] }, { "data": { "image/png": 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fgcabDdfFPAUhxC5gl5TyW0KIQeCbwL+UUh7v9prrzSnEWMuchIPv+xxjOZOS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cbYbYyxNwL4mzbPvxXAPeB6V48S0Y4NppIr2eBIoyCRtOZVAO8ioj8iorczxnJtnv8txliJMTYP\n4G/BNfwDldzVHqxE0itSJVUiaQFj7KTv+vmnAB4jou8AcFBZUMVrX9Lg93WlkivZ3MidgkTSAiLa\nAaDIGPszAJ8D8CYA5wC82X/K+2te8j4iihPRVgCHAbywwVRyJRscuVOQSFpzC4AniMgDYAP4KIAE\ngC8T0e+jvo/vD8H7SMwA+IzfjlQiWTdIlVSJRCKRBEj3kUQikUgCpFGQSCQSSYA0ChKJRCIJkEZB\nIpFIJAHSKEgkEokkQBoFiUQikQRIoyCRSCSSAGkUJBKJRBLw/wMIXSOpT3LEdwAAAABJRU5ErkJg\ngg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ " OLS Regression Results \n", "==============================================================================\n", "Dep. Variable: MMSE_bl R-squared: 0.145\n", "Model: OLS Adj. R-squared: 0.142\n", "Method: Least Squares F-statistic: 44.03\n", "Date: Sun, 10 Dec 2017 Prob (F-statistic): 4.83e-42\n", "Time: 20:10:11 Log-Likelihood: -3029.8\n", "No. Observations: 1305 AIC: 6072.\n", "Df Residuals: 1299 BIC: 6103.\n", "Df Model: 5 \n", "Covariance Type: nonrobust \n", "==============================================================================\n", " coef std err t P>|t| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "Intercept 21.5405 1.405 15.336 0.000 18.785 24.296\n", "sub4 -2.5254 0.417 -6.054 0.000 -3.344 -1.707\n", "mean_gm 21.4923 1.688 12.732 0.000 18.181 24.804\n", "tiv -2.33e-06 5.59e-07 -4.167 0.000 -3.43e-06 -1.23e-06\n", "age_scan 0.0156 0.011 1.460 0.144 -0.005 0.036\n", "gender 0.3278 0.141 2.319 0.021 0.050 0.605\n", "==============================================================================\n", "Omnibus: 119.695 Durbin-Watson: 1.927\n", "Prob(Omnibus): 0.000 Jarque-Bera (JB): 151.611\n", "Skew: -0.816 Prob(JB): 1.20e-33\n", "Kurtosis: 3.351 Cond. No. 5.63e+07\n", "==============================================================================\n", "\n", "Warnings:\n", "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n", "[2] The condition number is large, 5.63e+07. This might indicate that there are\n", "strong multicollinearity or other numerical problems.\n", "############################################################\n", "F test on full and reduced model:\n", "############################################################\n", " df_resid ssr df_diff ss_diff F Pr(>F)\n", "0 1300.0 8161.84095 0.0 NaN NaN NaN\n", "1 1299.0 7937.86012 1.0 223.98083 36.653593 1.843826e-09\n" ] } ], "source": [ "get_subtype_results(sub_img, 4, adni_df)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# subtype 5" ] }, { "cell_type": "code", "execution_count": 95, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Running analyses for subtype 5 ....\n" ] }, { "data": { "image/png": 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O6dOno6mpCU1NTZg5c+aY7t+F2t2R8fDDD4/o9qYSantjy/r16/HQQw9VtM69996LLVu2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Tt79iCXy+GiujptFGbyfcyx62T7BwA7dihpqLlzz4K59pjubtqX10ZrKD2f5iY8Poz0puP50NGx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\n8C6sWfOPav/k73hrtk/ib1BHrjmuQRl46EBiKWsbouhKiKs6j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wIYwdatHwQA9PX9KQYH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45VNPoVKp4LzTTstE8TCrHygnLD9+Sz4pC/nbUL819Nu24xLNgb33P/4Dl511ViYqgX/zUGIM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\nikl8IiIiIiIiIiIiIqI49f/B1ahGp1ONIAAAAABJRU5ErkJggg==\n", 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "############################################################\n", "GLM results for effect of diagnosis on subtype weight\n", "############################################################\n" ] }, { "data": { "image/png": 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KHD9+nODgYLn97u9o0KABy5Yto6ysDI1GQ0JCAkajkZYtW6LVaqVBjY+PDxcv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siyPP4HHdEpRnq6QnD61a9+xcyZM4mNjaW1tZV33nmHwsJCBg5U7FiTk5O56KKLqKioAODyyy+n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\nqIhHHnmEw4cPU1hYaBWXBPjii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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ " OLS Regression Results \n", "==============================================================================\n", "Dep. Variable: sub5 R-squared: 0.031\n", "Model: OLS Adj. R-squared: 0.026\n", "Method: Least Squares F-statistic: 6.017\n", "Date: Sun, 10 Dec 2017 Prob (F-statistic): 6.41e-07\n", "Time: 20:10:18 Log-Likelihood: 376.60\n", "No. Observations: 1305 AIC: -737.2\n", "Df Residuals: 1297 BIC: -695.8\n", "Df Model: 7 \n", "Covariance Type: nonrobust \n", "==============================================================================\n", " coef std err t P>|t| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "Intercept 0.1909 0.106 1.802 0.072 -0.017 0.399\n", "mean_gm -0.3491 0.134 -2.598 0.009 -0.613 -0.085\n", "tiv 2.161e-08 4.17e-08 0.519 0.604 -6.01e-08 1.03e-07\n", "age_scan -0.0007 0.001 -0.919 0.358 -0.002 0.001\n", "gender -0.0011 0.010 -0.103 0.918 -0.022 0.019\n", "AD -0.0844 0.015 -5.451 0.000 -0.115 -0.054\n", "sMCI -0.0092 0.013 -0.704 0.481 -0.035 0.016\n", "pMCI -0.0657 0.015 -4.333 0.000 -0.095 -0.036\n", "==============================================================================\n", "Omnibus: 5.329 Durbin-Watson: 2.094\n", "Prob(Omnibus): 0.070 Jarque-Bera (JB): 4.255\n", "Skew: 0.021 Prob(JB): 0.119\n", "Kurtosis: 2.723 Cond. No. 6.06e+07\n", "==============================================================================\n", "\n", "Warnings:\n", "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n", "[2] The condition number is large, 6.06e+07. This might indicate that there are\n", "strong multicollinearity or other numerical problems.\n", "############################################################\n", "F test on full and reduced model:\n", "############################################################\n", " df_resid ssr df_diff ss_diff F Pr(>F)\n", "0 1300.0 44.277121 0.0 NaN NaN NaN\n", "1 1297.0 42.902194 3.0 1.374927 13.855393 6.767441e-09\n", "############################################################\n", "Pairwise post hoc t-tests between groups\n", "############################################################\n", "Multiple Comparison of Means - Tukey HSD,FWER=0.05\n", "=============================================\n", "group1 group2 meandiff lower upper reject\n", "---------------------------------------------\n", " AD CN 0.0703 0.0329 0.1077 True \n", " AD pMCI 0.0141 -0.0273 0.0555 False \n", " AD sMCI 0.0629 0.0256 0.1002 True \n", " CN pMCI -0.0562 -0.094 -0.0184 True \n", " CN sMCI -0.0074 -0.0407 0.0259 False \n", " pMCI sMCI 0.0488 0.0111 0.0865 True \n", "---------------------------------------------\n", "Test Multiple Comparison ttest_ind \n", "FWER=0.05 method=bonf\n", "alphacSidak=0.01, alphacBonf=0.008\n", "=============================================\n", "group1 group2 stat pval pval_corr reject\n", "---------------------------------------------\n", " AD CN -4.8617 0.0 0.0 True \n", " AD pMCI -0.8552 0.3928 1.0 False \n", " AD sMCI -4.2888 0.0 0.0001 True \n", " CN pMCI 3.8712 0.0001 0.0007 True \n", " CN sMCI 0.5807 0.5616 1.0 False \n", " pMCI sMCI -3.3122 0.001 0.0059 True \n", "---------------------------------------------\n", "############################################################\n", "GLM results for effect of APOE4\n", "############################################################\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/Users/AngelaTam/anaconda3/lib/python3.5/site-packages/scipy/stats/_distn_infrastructure.py:879: RuntimeWarning: invalid value encountered in greater\n", " return (self.a < x) & (x < self.b)\n", "/Users/AngelaTam/anaconda3/lib/python3.5/site-packages/scipy/stats/_distn_infrastructure.py:879: RuntimeWarning: invalid value encountered in less\n", " return (self.a < x) & (x < self.b)\n", "/Users/AngelaTam/anaconda3/lib/python3.5/site-packages/scipy/stats/_distn_infrastructure.py:1818: RuntimeWarning: invalid value encountered in less_equal\n", " cond2 = cond0 & (x <= self.a)\n" ] }, { "data": { "image/png": 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YCiiBz0RRfOvfnn8WmAbYgXJgiiiK+Te9oLeo63dSgiDccLeUmpoq3Zlt3LiR\n7777DnClWX/qqacYO3YsTzzxBNu3b+fJJ5/kiy++4MUXX2Tq1KlER0djMBiIiYlBrVbjdDoJDw/n\n5ZdfBmDGjBkMHz4cDw8PXn75ZR588EGOHDlCcnIyFy5coKSkhC1btmC1WgFXeoj4+HgpL9X1Dsyk\npCR5ac8GolmzZiQnJ5ORkcH48eOpqKigsLCQJk2aSEO8V6xYgYeHB1evXiUkJITu3btTUlKCUqlk\nz549ALRo0YKkpCQEQZA+0zU1NfTq1QulUknTpk0xmUyA63MXGRlJWFgYCxcuJC8vj4yMDLp27UpF\nRQUVFRVSqhtvb2+io6PdcGVuT24NHIIgKIFPgAFAIXBKEIRtoihe/Nlu54DOoiiaBEGYASwBxv7n\n0RqO2tpa9Ho90dHRTJ06laioKCIiIujUqRONGjXCw8OD0NBQ9u3bh9PppHnz5igUCpxOJ1arleXL\nl6PT6aQf8vT0dGld57S0NCmvlMlkwsPDA5PJRHp6uvT+V65cYdiwYfj5+fHaa69RU1MDuKr91zvU\nLRYLzz77LGfOnKFHjx6MGzcOm83GrFmz+OCDD7Db7YwfP15qr/65mpoaamtrf1PKeNntQalUSjce\n4EpXk5eXR8uWLXnmmWdIT0+nS5cu0mfParVisVgoKioiISEBcPXbff/995w5c4aIiAj8/PywWq3E\nxMSwadMmwBVY2rZti7e3N5GRkbz88ssoFAr69OlDXl4ezZs3Jzk5mXPnztG4cWOmTZvG0KFD8ff3\nl1OR/A7urnF0BbJFUcwFEARhAzAckAKHKIoHfrb/cWDCTS3hLaaqqopp06ZRXV3NE088wahRoxg2\nbJj0fNeuXXn++efR6/W8+uqr5OfnU1BQwGuvvYbZbObjjz+murqagIAAhg4dSllZGY8//jiBgYHk\n5eUxceJEMjMzqampITQ0lPPnzwOuNCTPPPMMRqORoqIirFYr5eXlFBQUSOncp0+fjl6vZ//+/SQk\nJLBo0SKcTieCIEid5ampqVLAup7J1G638/e//x2TycTQoUN5+umnqaur47nnnmPIkCE3+QrLbgZv\nb28p9f4HH3xAZWUlYWFhXLlyhQMHDhAbG8vChQsB15ot8+bNIywsjLfffhuA0tJStFot9fX1VFZW\nSrXt7Oxsqabdv39/wJUvLSkpid69exMSEkKrVq3o27evVNuNjY29qed+J3B34IgCCn72uBD4bw3g\nU4Hv/9QS3eKuXr0q/eBeT9oWGxsrdX6fOXOGK1euAK624evDGA0GA3PmzGH16tVUV1ej1Wo5efIk\npaWlrFmzhhkzZjBnzhzmzJn4RJS3AAAgAElEQVTDzJkzycrKoqSkBC8vL8xmM8OHD2fYsGGUlJSw\na9cuoqKiCA4OJjs7m82bN+Pp6cm4ceOYP38+BoMBo9EoDZf09/cnKSmJ+vp6pk6dSuvWrcnPz2fQ\noEGcP3+e0tJSafZvbW2tNNEwPT1dDhwNgIeHB2FhYYBruK2vry/x8fF069aN9PR0IiIiWLhwITqd\njhdffJE9e/bQs2dP3nrL1ap95swZVqxYQVpaGgUF//o56d+/PzqdDl9fX+x2O2+++SaCIPDuu+/S\noUMHt5zrncLdgeOXBlX/YvIsQRAmAJ2BPr/y/CPAI8AdvZpc27ZtGTFiBHl5edhsNp5//nmCg4N5\n+umnef/994mKipL6KHr37s2RI0ew2Ww4nU6mTZtGTEwMo0ePplmzZlLa6suXL5ORkcG5c+cA1+Sr\nkydPIooiarWagIAADh48SJMmTXjrrbeoqKigVatWfPDBByxevBhwtSdnZ2dLTV6iKDJ69Giqqqo4\nfPgwHh4ezJkzhwULFlBeXs6zzz7LM888Q21tLf369ZOa0jp37oxOp6OkpIQJExp05bLBcTgcPP30\n0+j1evbu3cunn34KwJtvvgm4lok9f/48R44cobi4GB8fH+rq6hg1ahTffPMN3333HTqdjhkzZhAd\nHU2PHj2kZWiv34yIokhJSQngqp189tlnJCQkMHHiRPec9G3K3YGjEPh5Q3Y0cO3fdxIE4S/AXKCP\nKIqWXzqQKIorgBXgSnL4xxf11qBQKHjqqacAVyc1QGVlJdu3b6eqqoqqqipmzpzJvn37uHjxIsuW\nLaOoqIhdu3aRk5NDTk4OPXr0YOPGjfTp04e6ujq8vb25ePEiLVq0IC8vjwEDBpCbm0t5eTkeHh7S\ncZctWyZ9AQ0GAzt27MBgMNC3b190Oh0nT56ke/fu2Gw2TCYTV69epWnTptJErg0bNkh9JTt27JBm\nCdfX17N8+XLMZjOtW7dm0KBBN/uyyv4PHA4Ha9asoba2lilTprB//35ycnKYMGECGo2GvLw8EhMT\npdQ2vzYgQhRFqRnzeh9ZVVUVjzzyCLW1tURFRUmJDbOzswkNDcVisXDq1ClprpHRaCQqKoq8vDzU\najUrV64EoEOHDowcORKNRiOl8l+xYgWnTp3ixIkTJCUlERcXJ5WlvLwch8NBeHg433zzDaWlpUyY\nMIHDhw9z4cIFHnjggQbdB+fuwHEKaC4IQixQBIwDHvj5DoIgdACWA4NEUSy7+UV0P6fTybp166iu\nrmby5MkUFRWRm5vLk08+yebNm+ncuTNarZZz587RpEkTfvjhBzIyMsjIyOAvf/kLMTExdO/enWPH\njhEeHs727du5dOkSAHfffTf79+/n4MGDPPnkk3z22WcsX76cefPmsXbtWtLS0vDw8MBut9O2bVum\nTp3Ktm3buOeee5g/fz6iKNKyZUsKCwsxGo14eXkxc+ZM3nnnHQCCgoLw8fFBEATuvfdeLl68KK3r\n0aZNGy5dusSkSZPQ6XScO3eO6OholEolBw4coE2bNnL7823g4MGDrFmzBnD94O/YsQNwDXK4fPmy\nNIlPpVKxbds2hg0bxmOPPUZqaqo0RHv9+vXU19fzxhtvcO7cOXQ6HZ988gnganItLCykoKCAcePG\nUVxcTNOmTUlPT8dqtZKWlsakSZPQarV07tyZN998E6PRSPPmzQkICKC6upqWLVvy6KOPYrVaeeWV\nV8jNzaVt27YABAYGolarWbx4MTqdjl69evHCCy/gcDiYOnWqFHxqamrYtWsX4Aos1z/jDZFbA4co\ninZBEJ4AduEajrtKFMV0QRAWAqdFUdwGvA14Axt/ShdwVRTFYb960DvQ0aNHpSGLVquV3bt3Y7PZ\nGDx4MLGxsezevZvJkyezbt06UlNTycnJIT09nejoaF577TUKCwsZM2YMX3/9NVqtlg8//JBLly4R\nGBhIZGQk4GpnzsrKor6+nvr6erZv387JkycB8PPz4+mnn6ZLly68+OKLXLx4kYKCAoKDgykvL6dx\n48ao1WouXLhA8+bNadmyJRqNBpvNRq9evXj22Wex2Wx4eXnx3nvvkZGRQevWrYmJiZFWcZs1axYF\nBQU0a9YMf39/Tp8+jU6nY+PGjdJseNmtKTQ0VGpqjI6ORq1WY7FY8Pf3lyaX5uTkSPM4du7cSWFh\nIWfPnqVRo0Y8+OCD0gzv668tKysjKCgIg8GASqWS+i70ej2NGjXi2LFjaDQaBEHAz8+PlJQUzp07\nR3l5uVQuDw8PVq1axdWrV1m3bh2jRo1i1KhR0sgts9nMkiVLUKlU7Nq1i507dwKu2rTNZgOgrKxM\nOrfg4GB8fHyora29YXGphsjdNQ5EUdwB7Pi3v8372fZfbnqhbjEhISHSh/d6mgVwjbC6fne3bNky\nDAYD165dIzExkfXr12Oz2aRstykpKYwZM4a5c+eiUql4/fXXqaioQBRFXn/9dXQ6HQaDgdTUVLy9\nvUlISGD//v3Y7XasVisLFy4kKioKi8XVUlhZWcnChQsxGo20adOGlStXEhYWxvjx43n11Vfx8/Pj\npZdeolmzZkybNo3CwkKee+45Vq5cSXV1tTQ8Mj8/n8aNG0sd/lVVVVLSRKvVKk1AlN26WrduzfLl\ny6mrq6N9+/b07NmTwsJCunXrRlxcHCdOnOCBBx7g5MmTbN26lWHDhkmrU5aUlODv7y8dq7i4WPoB\nnzRpEiaTCaPRSGBgIKIokpCQIAUZq9VKcHAw06dPl5aUzc3N5ZNPPuHMmTOkpqYyffp0Ro4cKd0E\nXZ+Qmp+fT8eOHVmwYAFGo5GBAwcCrmHDAwcOxOFwYLfbmTx5MgMHDqSiooKePXsyZMgQrly5Qpcu\nXW7a9b0VyQs53SZycnLQ6/V07NiRw4cPk5WVxZAhQ3j++ecpLCxk5MiR7NixA7PZTHh4OLNmzSIq\nKop9+/bx448/MnbsWPLz81m7di0Aw4cPZ+vWrQA8/PDDbN26Fb1ezyOPPMKuXbvIz8+nf//+ZGZm\nUlZWJk3mW7RoEUePHgVc/RS+vr707duXbdu2ATBw4ECpOj9p0iTatWvHM888A0C3bt04deoUTqeT\nhIQESktLqaqqws/Pj4ULF7J//36Sk5MJDAzk22+/pVOnTvLolztUSkoK27Ztw+l0cvbsWbp160Zy\ncjKCIPDCCy9ICzRdDyITJkxgy5YtmEwmBg0axOXLlykpKZH6yUaNGkV+fj6JiYmYzWYSEhJYsGAB\n4ApsNpuNnJwcZs+eTVFREYcOHSIpKUn6PiQnJzN69Gg0Gk2D7ruQF3K6w/y8465Xr1706tULcHXw\nlZSUEBsbS1JSEj/88AMmk4mXXnoJjUbDo48+SnZ2NosXL2bmzJl4eHjg4eFxwyzZmpoa9Ho94Jpn\ncb1JITc3l7q6Ojw9PWnTpg3x8fGsWrUKlUolTZYyGAzodDrA1TSQlJTE2bNnpZrK1q1badeuHSUl\nJdx///0MHDiQ06dPM3r0aCwWC/v27aNfv34kJiZKbc4A06ZN+3MvqOwPJYoiRqMRb2/v37R/u3bt\naNeuHffccw9ms5kffviByMhIdu7cyZgxY+jVqxc1NTVS4DCbzdLADKVSybBhw6SaB0CjRo144okn\nGD58OAaDgZCQEOLj48nKyiI5OZnY2Fh27dqFTqeTlki2Wq3cf//9FBUVMXHiRKnZ9r+x2+03JP1s\nqOQrcJvz8vKSOpA7dOhAhw4dmD9/PuD6sl26dAlRFLHZbFRUVJCQkCCNMKmsrEStVjNhwgTUajW5\nubk88sgjtG3bluPHjxMfH88///lPANq3b4/VaiU3Nxdw1VIEQSA2NpZJkybRsWNHQkND+fHHH4mL\ni2Pw4MHMm+dqcezcubOUQwugX79+0nZ8fPzNuEyyP5HT6eT555/n3LlzPPDAA0yfPv03v/aee+5h\ny5YtDBw4kDVr1iCKIjt37sTpdLJ7926GDx9Ojx49MBgM9OjRA6PRSGlpKdu3bwdcHdujR48mLS2N\njIwMtFotBoMBHx8f5s6dy/fff09cXByvvPIK1dXVHDhwgMTERC5evEi3bt2kkYm/JjMzk127dtG3\nb18yMjL49NNP6dixI4sXL27Q6XLkwHGbsFgsUsro/+Xxxx/H29ubuLg4+vTpg8ViwcfHh5MnT5KV\nlUVqaip6vZ6tW7eiVqsZMGAAly5dIi0tjZMnT5KYmIgoikRFRUnHDA0NJSIigs2bN6NSqSgvL8fX\n15d77rmHSZMmUVxczJQpU/jss88A10Q+X19fDAZDg676NwS1tbXSHKBDhw4BrjU0HnvsMfR6PWlp\naSQnJ+Pn5we4VpJUq9V4enry1FNP8cQTT6BQKDAYDBw6dIjevXtLKUQOHTpEZmYmGRkZREdHs3bt\nWl588UXpvb29vRFFUZotPnHiREwmE3369OHVV18lNzeXLVu2EBERQXV1NcHBwSxdupTq6mr8/f0p\nKioiMjISp9NJTk4OjRs3RqPRkJmZSXh4OK+++iqlpaXs3r2bsLAwRFHkzJkzVFZWEhoaejMv8y1F\nDhy3gS+//JKVK1fSvn17nnnmGT7//HOaNm3KxIkTOXbsGL6+vrRq1UraPzQ0lOeff156fL0G8uGH\nH5KVlUVUVJSUX8pisZCTk0NaWhoAu3fv5rPPPsNms9GjRw/pS9WyZUtmzZqFIAiMGjVKaia4nk8I\nXHmugoODqaioIDExkfnz51NQUPCLabP1ej0Oh4PAwED27NlDSUkJo0ePZv369aSkpDBt2jTatGnz\np1xP2R/Lz8+PMWPG8OOPP9KnTx/WrVsHuOYcHT9+HIvFwtmzZ3nzzTfZv38/r7/+OsHBwSxbtoxt\n27axadMm7r33XhYsWMDq1aspKyujV69eHDlyhIEDB7Jv3z7ANSBj165d9OjRg+bNm/PNN99QWFgo\nZccVBIHi4mJ2797N9u3bpRsfT09PFixYQFZWFnV1dbz66qsMHz6cNWvWkJ6ezsCBA7FYLPzwww80\na9aMrl278uWXXxIYGEhAQAClpaX4+flx//33s3z5crp06UJISIjbrvetQO4c/wVLliwhMzPzDyzR\n/01hYaHUOe3l5SXlfbp+Rw8QFhYmBYPQ0FDq6uqw2+0EBAQgCAJ2ux2VSoXVapVWT6uursbhcKBQ\nKBBFEbPZjI+PD3q9HlEU0Wg00nv5+flJ73V9SCK45mmYzWasVishISF4eHhQX1+PVqsFXH0gnp6e\neHl5UVVVhUKhQKfTUVxcjCiKBAUFUVlZCbjWPzcajYBrIZ7f0uZ8s7Vs2ZLZs2e7uxi3rNLSUqZO\nnYrRaGTSpEmsW7cOm81Gly5dWLJkCa+//rpUO1i8eLE0Mk+hUPDOO+/w7LPPAjBo0CCaNm1KTU0N\nHTt25IcffkCr1fLVV18BMGfOHN544w3A9T2YMGECBQUF6PV6qdbzxhtvUFxcLE2GnTBhAhs2bJC+\nF9dH8l0ftVhaWoogCHTo0IGzZ88CrjxaZWVlREZGsmLFCnx9fZkzZ84dO0Rc7hz/P8jMzOTU+VRs\n3rfGXYUG8BEELCioNdrxUYBThGK9Ed1PSVuuFFegVbiGrmbmX5O2Sw0m1DhRCiJ1ogc2UYFKcGIS\nPVAgEqRwDa+tF5WocFJTU4NJVGIXFRhMdnwVrjco1htR/ZQh5qregkpQYhWVGCv0aLFjwoOCwhp8\nBCs6wY5dFLCiQCu4ymESldJ2cXUdWoXrhqWgogYvQBCgtM6MBgEPQaSi3k5edsnNuLy/mWdd+f/e\nqYELCwvjnXfeYefOnXTr1o327dvz9ddf4+/vT3V1NaNHjyY3NxcfHx8MBgODBw9m8+bNDBo0iJCQ\nEOnmxul0SitKOhwOnnvuOWnkHriax67faPTo0UPat2fPnlKH+5o1a+jTpw8XL7pyph48eJDY2Fgu\nX75Ms2bN6NKlC3v37qVFixY0atSI48ePExgYSLNmzVCpVERHR7Ny5Up0Oh0RERFcuHABcDWfXR++\n21DJgeNX2LxDqGo70t3F+EVepgpsnlocCk9CytNwKFUYdeE0ydsLiFRFd0dTdBSF6MQU3AJtpWuW\nuOAdhL+xDAERQRdAUdRdBGR/i0J0UB/YFK/qywCIumBETw1KuwWz3YwgOkGpQmmupiSiM+HFp1GI\nDgRtABpzFYIIXoJIfquR+GXvAHMVHoJIrX8TtDW5iAgYItqhLTmLiEB5bB8CqrJQiA6uRfVAZTHg\naTOi949FcDrwtJmwavzceIV/WeCFr91dhNvCRx99xMWLF9m9ezfvvPOOVAMwmUzMnTuXl156icce\ne4yUlBQefvhhmjdvzs6dO2nZsiULFiyQhufu2bMHURSpra3loYceIiEhgVmzZlFaWsqyZctwOBxE\nREQwceJE9u/fj81mk/K2DR06FKPRSHZ2NiNGjODo0aPcd9990poxqamphIeHExcXx7fffouHhwcj\nRoxg48aN7Nu3j7fffpszZ85IKXJGjBiBUqnEy8tLSvPekMmB4xYnOO2AgKj41wiOem2wtF0W/q95\nDlnxowAQFR6YvQLwsNVj8g5HVHjgVV9BeUgbGl/9AaXDilNQEl1wCIval4qQVlhVfoCIylpHvVcQ\nIRWuL0x5SGsMfk2Iy3YtmuNXnYsoKEF0ICqUVAUlEFCVhd6vCY3z9mHz1OFUelLnHUlVUDz12hAs\naj/qdaGYdGE4BQ+sGj+MPv9qhrJ7aqVtUanAqvxZ0BBFV3UE0NaVYPPUYVP/8prVslvD9RTnCoVC\n6gS32WxS53htba2UObmoqEhqFt67dy+5ubkYjUby8/P56KOPqK6uZtOmTVJfxtixYzGbzdIkWKPR\nyCuvvEJ8fDydOnViy5YtHDp0iPj4eM6cOUOHDh146qmnUKlUfPTRRxw4cICAgAAOHz6MIAjSapTX\nl0C+ThRFOnfuzObNm1Gr1QwbNowHHngALy8vafh5QyYHjluYl7GMJnn7cCqUFDTuQ0TxKZR2KwVN\n+qCpr0RjrqEipLX0wysq/vXvtKr9sKpdX9TysH91Tl9pOghNfSVqczUhFa4qvNZYQXTBjwiIFDTu\ng81TS1BlBoLoROmwElSWhlEbgsZcQ3VQCyyaALTGUswaf8JKz1Pr2wiF0453nSu9RH5Mf4zeEQDU\nBDaX3tvsFfQ/z9nbUOgKRP6xKB1WwotPY9SFY9IGE1qeilNQktN8CDaVHDxuVfPnz2ffvn0cO3aM\nadOmce+99wJw4sQJ/Pz8eOihh3jyySepqKhg7Nix2O120tPTGTp0qLTeRm1tLatWraK+vp6uXbuS\nkpJCTEyMVNPo3LkzFy9exOFwSEPEw8PDpX6+jh07MmTIENatW8fixYulmkNaWpq0ToeHhwfTp08n\nPj6e5s2b06VLF+x2O+Hh4eh0Ol566SUCAgKYPXs2L7zwAvX19SxZsoTExMSbfUlvOXLguIV5111D\nITpQOBwEVGWjMbu+FEEVl/DT5wGgdFhxKFVo6qsojeiE4HTgU1tEdWAz7B5e6IylmLQhOJRqNOYq\nrCpvDP6xeNV5EVSVhVNQ4lB6IvyUzV5XV4zGXI3erwl6v6bE5Ls6Mut0EWQmjsXDZiKy6BiioEBr\nKkNrKkdrKqfqpwBhV6qwemgRnHZEhQcqix6F047ZKwiVWY/KaqDOJwqf2kK8a69RFRSPd20hgZVZ\nVAe2ILDyEh4OCzpjCRa1PwIi3sZinErXR1UhOvC01cuB4xYWFBTEvffey7JlywA4ffo0VquV6upq\nVq1ahdls5ssvv6RXr15SduapU6fSr18/srOzKS8vJzY2VsrP1rFjR7Zv38727dtZsWIFAA888ABZ\nWVmIoohSqZQWJsvIyEAQBPr27cvHH39MdnY22dnZTJ48mT179tCrVy8GDx6M1WqlZ8+eVFdXs3//\nfq5du8aVK1fYunUrSqWS/v37U1tbS21tLbt376aiogKAI0eOyIEDeVTVL5o6dSpHs0vc3sfhaa0l\nuuAwTsGDkoguRBccwsNh4Vpkd6IKf0QhOqjxj8W/xrVwU50uHK2p3NVnoQlAVHigNZVjUflQ5xNF\nUGUGNk8tJWEdiSo6is1DS17TZLSmCnz1eTiUajxsRnzrXJnt85v0I6rwKB4OCzV+sej9Y/EyVRBa\n7uokrPGLwe+n11UHNsehVGNVeRNdcASnQklxZFepJlMS3pHQ0hQUooOqgBYEVF9GQKTeKxC1WY9C\ndOAUFJh0YXjXFVPvFURVYEvCSs5g1IVTGt6R0LIULGpfKkNau+X/EXjha+5qFn7DjOWb7VYb8fff\nVFRUYDQa8ff3x2q1Ultbi5eX1w05yDQajbTc8M9H64WEhFBZWYkoimi1Wkwm0w0jCtVqtfS6iIgI\nKVOBn58fer0ek8mEWq2mrq4ODw8PVCoVJpMJb29vbDYbFosFQRBuOM7PR/UFBQWh1+tRKBSEhIRQ\nUVGB0+kkLCwMlUp1U6/jb/VHjPj7w0ZVCYIQ+N+eF0Wx6vcUTPbb2VQ+XIkbLD3OaTFc2r6i9sXT\nWotJG4LWWI7KVofROxyNuQaFw4FTqUZlcQ2f9bSZ8DJVSNt++jwUohO1rY6QsgsEVmcjAnlNB+Jl\nqsS37ho2Dy+CKi5iV6qpCE4gpCwNf/0V9L5NcAoKQMCsCaTWJxqtqZyQctc8kBq/WKmW5F17TarJ\nqM01KETXj4XSUY/DQ42H3YzNQ4fZL4CAmhwMfjEUR3ZDY67GrPFHVHigD2gqnfO16Lv+zMt9W8jM\nzOTUhfPYAtzYzi6CAnD+0jJs/04BRQbXagiCB4i2OrSigA4Bs0LEZDGhRYETkZI6PTpc/SMZVSXY\nFK6V3kKMdSgQMJqMGBQiniIYf3qdKIqklRUS6FAgIFCir8brp2PU26xUeThx4iDMZENAwFBXi10A\nFQIO0Ump1YQvAnbgitmATiHgAEoMZa43F+Fq2VXpdApK83/xegiA+Fuux5/Es9p4U9/vtzRVncG1\nKp8ANAaqf9r2B64C8oIJfwJdXTG++nxqAuKwe3jhV5OL0TsCsyYQX30eFrUfdb6NUDhs5Mbdg8Jp\nx67SYfBtgtZURq1vNGqLAf+qbAx+TXAoVYSUXcCkC8OkC0VjrsGm8sah9ARc/1DfmisE1ORSpw1F\n7x9L1DVX+mmv+iqUov2n/ZxcbjkS35ocIkpcY931fjFSuWt9o1FbDTgVHpSFdcCpVKNwWCkL70i9\nNgSNuZqKkNYginjVV1LnE4nGXENlcAJWjT+62msoHVbqvYLwr8pGba6mMqTVDR3o12nrSvCvyUHv\nF3tDZ/udzhago2KAeyZHKuxO4o7kojZZKW0RgtVLhW9pLRWxgZh9NYRlliE4RUrjQ/Ew21E4nJj9\n/sucB6eIT3kdZh81dpUHQflVaAxmfGrqqWocQHlcMIqMUoLyqqiJ9CegsAYBqAv04lqoD34lteCr\nRizUIzhF6qMDcZqs6KpMVMcGY/fyxL+oBr1WhZfeTFWTAPSRfvgV6TEG6zD7alDYHDiVClD8+i+/\nwuZAW23CFKDF6alEVWdBW1OPIcybRueK8KkwUhEbSEmCe9KtB+9Jvanv9z8DhyiKsQCCIHwK/4+9\nN4+15EzP+35f7VVn3+65+9a3FzbXGXJmNIs0m2RZtiIJiRcpCRAgCYwANpAgSJA/EsSBE8AxkD8c\nIEEQZzPiIJAt2XFkWNJkJM9Qsw85Qw45JHu/t+9+9rVO7fXljzo83TPa2EM2RbH7ARp9lrpVderU\n+d7ve9/neV5+a26DjhDiF4BH3vL8PYGUNM9fxvIGtFZewLcqrB++iJrG5CenRLqD43VJO28wLO9Q\nHdwiFQpnK59g5ew7pIrB/oWsa16sWWixT256zqS0RazZSCGI9RzHmz+DSBNSzeTW5V8BQEmymVii\nmhTGR1mRe9am23iGSLNRk4BIzzGoXEBIies0abRfQ97X9XeSX8XNNYl1h5lTZ1pYRyoqauzRbTxJ\nolnkJ8dIoXC+8gJa5FHv/hDfqlLp32D5/PukQuV09ROsn2TOu12vR31OI9YSn5ONzNQxPzmm0r/J\nsLzLyulLaIlPYXzE9au/+n5+Y48sdC/EnGVi1HxnijP0EBLMiU9/u0r94F4Cono0QEg4fnqF8ukI\ncxJw8swqxdaEQntK6/ISSpJSvTugv1mmv12je6HO1d99CyWVLN3s0L1Qp3WlyXi5iJSSYmuMFqXE\nlkGhNyM39MgNPQ6fW0VIwXi5gD4LERKCvMmTv/sWAjC8iGs/e3lxbr3djKihBjFbLx+iJCnHz67R\nvN7GmgYcP71C5WREoT3l/EqT6uEAe+wzK1kcfHyLC9/cR41Txo08hW422y+eTf7MAsf7jQcpjn9M\nSvkfvP1ESvk7Qoj/+iGc0yMH2+tS62V560b7NY62Pkes2ajhhEh3kCJbekuhoCbZj1bIlNz0DEWm\nKImPPesQGXmW2q8u9nUeuTTPX0EKwfH6p1k9/Q5qGnO0+TNokYcZjOg2nsTNr5CbnjMubmD5g4yO\n2/4BM6eBZ9VYbmc+RMfrn2F1rg/xzRKdxtNIwAxGeE4dJQm5/NZvEukOreXnWT/+OhJBa/mjrJy9\nBIAW+9hel+I4a8wzLmQ+VopMMMLpfVdFkgoVRSbE2r3Vxurxt7Li+fQM36qgeT6R/s4cWR/j3SPI\nm3S3qziDGa2LS6z98BRzFhHmDEJbX6QmpAJiXj7N91zyvRkAtbt9Cp1soK3f6aF7EWqSsnytTWTp\nFNtTprUcxc6U0XIRgPLRgPXXz0gFHH50ndL5BHPiE+Yy77bI1DCnIX7RonQ2Zv21UxJVcPvTu7hV\nh3x/xrSWo3GrgxSC/kaZzVeO0cKEUbOAM/IX5/N2EKjt9ym+/figj+5njZ2MWYRIJUqSUXfVOKWz\nW6N0Nqazd48m/2HHgwSOrhDivwD+L7LU1b8N9B7KWT1iCI0CkWajxx6JYrB3458zs+t061dxZl0i\nI8+kuIEa+ySaRWgUQPSY2VEAACAASURBVAgSxcALx0ihINIYkSb3ggxgBJNM7CclhckJ2jzolAb7\nlMZZrlaLPAqTIxSZ4jpLXHvy11g+/S7V/g3wIL2P4otMSFQDJfaJNZvO0jOsH75IcXKMRDAtrCKQ\nGJFLYXyEkCmCrL7xNoRMiOZpp1TR6NafACSBVWZU3sEMBsR6js7Sc6SKjhZ7tJaeYen8+xjhlNAs\nos06BFaZw+0v4rhtZs4HQ+H/SEAIzq/em1Xf+dQOpdMRzWttnMGM42dWqR4OyPVmDNZKKEnKcLmA\nOQ0xpwGD9TJCQr7rMlwrYY19ymdjpvUcm68cIyT4BZPBaonK6YhUU7I0EqDIbKCunGQtALQw5eZP\nX6B20KV5K6vhDZcztp2aSPJdFyVJmVYd/LzB8o1M+W+4wSKQzYoWkamhJCn99TLWJMCYhQzXyyAE\nhe6U4VoRUrAnPn7OZPfbB4wbeSLHoLddJXIMWlea79tX8EHAgwSOXwP+NvD/zJ//wfy1x3iXSDSL\n2xf/NdQ4YP34axjhFCOcItKU0iQrzHVrl6nPVxKdxtM0OllOs1N/ilrvLdZOv4Pt9elX91DShElh\nHd8qo0czEs2g3XwOLQlQ44BBZW8RLGLdngv6UqRQqHXeINJsJIJU0Yk0h0H5ApGeo9F+nUQxGNYv\nUBnc4tK1f4rnZEt+KRT6lYvokUtoFOksPYsW+6SKSnv5I8SahZqE9GpXqXd+yDTXpN14mpWzl7H9\nPh2rzMbhi1jBkFiz8K0qS/PPKIVCrX8DyJhcrZ2P4FsVpKozLa7/+OV8jPcRiaGhRilqKiHNBuvc\nMGM++UWLfMeldD7h/PISahBTv9OjdbnJ3Y+uo0Up3d0a5080SXSVSy/eQvdjQkunfJYFh/LpiBuf\n20OLEtQwxhp5zEoWzsjHL5qUzkaIuW5PApNGHjVOCR0DYxYsVhNh7h4TalayKXRc1ChhtFri/Ooy\nqaqgxglnTy7jlmw2Xz2m2JnS3q1R6Ljk+jP8nIHphot/175wkdjS39fr/UHBOw4cc/bUf/gQz+WR\nRqoapKrBuLiF7fXx7BqhWYAJpEIhVe6jAMp7Clc1DRBztpIeueze+RKKTEkUnaXWq9mg3HiK4vgY\nLfIY1C4RGXlGpS0iPU+vdoVEyXQcttum2XolE9nt/SKV/k2WuhlbalC+gBllqaQwGKElmcfVzK7h\n5prM7AaJbuNZNXy7ghGOcWYtEtUkPz6m0XkdAaSqTmO+z1hzsP0sJ56fnCB4ewSQi5VTtp1Nomio\naYzv1PFyj66d9QcRw7UShfYEqQh6WxUK3SlKnOLnTSpJFgCcwYxiO7t/lm60EVLijHy621X8kkXl\ncEBnp4ZUBNbYZ7RcJNdzs0AwDzB7f3CbIjBqFrjx7Bq739yn2J4SODqnTy6jhAnrr58hFUH7UgM1\nTKgeDklVQaIp9NfLjJt58r0Z05pDZ6fG1qsnGG7IydMrLN3qYngRw+Xi4lzLZ2PEXLJgeBHdnSrW\nJGBWtomNR1cG907ouH9fSvkfCSH+BfCHRB9Syl96KGf2iKLXeJJB9SKpks1kvFyDSM8TmCUiI48a\n+zhej1FxKwssMmVQ2SNVDWbOEoW5BsMMxj8yKFvBCCFTjLPvEZpFbK9HKhTMYERpfEgqVLz7lN1K\nGv/I4D2zaxQmR0ihMMmvYAbzdEHsUevfxLMqRHqe4uQIhjAqbmb1l9gj554vSukijUmFgiJTQrPA\nqLiJGYyY5lcx/REzZ4lQz1HvvM6ouMm0uM6otMOososW++9Iff4YDw+aH1E+HTGt5RZsqcgxuPPp\ne7Tp65+/iEglqaagJimGG9K+WMdwQyw3ZFaxaezP783ulMrREDVJsUc+XskiN/CQArpbVRoHfcrn\nY/Y/tolURLZfVWDMQqQqIAapKIS2Tm4WIgCRSsonIyrHQyJTY7hSpHkny6qniqB+mLniCgmmO0/f\nno/RvayOYc5CutvVrG5xoU6QN6geDhmuFpkuFejt1Eh0dWGF87YtjuGGFM/GTJp5goL1fnwdf2Z4\nJyHzH83//+8e5ok8yhBpQmm4T2AW8XJLpOq91cW0cC8VM6pcYGv/y+TcFgCD8i6VYWa3cHfr8+iR\nR6/2BEImjIubpKqO5fXpLD1LpX+DwvQUN7+CkmY/kFTRUNI5zVamnC+/QN49w5512L3zO3hWhbPl\nFzCDAatnLzGz60yK66ydvUSi6NzZ+8usH2YGdrY/wLPri/0OKnuYwYhEsxlULiGFghQq4+ImiWYS\nGGVWT7+Dlvj0y3vUem9lwUTPkydFj2ZYwSjTbsxZYbE+b1EbupjhGDe3fO/H+xjvCza/f4wz9Eg0\nhbMrTVbfPGdWcWjt1dn8wQmRpXP3I+ss3clqDudXmqhhghqn3P7MLloYE9kGUlUotKe09+pUj4YU\nOlPcqrOoZySauhjIlURiTbLBPLI0mjc7VE7HDJsFZjWH4vmY7ZePCC2NUbNAqikoUYqSSEwvQouT\nxflHOYNUZPWSaT2HSCXWJKCzW2e8XKR4NqazW8MrO0hVoMYJfsFEpJLa3QGhY7D+gxNMN+To2VVq\nh0Ny3SnnTyxTu9vHdEPqBz2uffHSh/refCd03O/N/3/x7deEEBVgQ0r52kM8t0cGzfPvUe3fQCK4\nvfeLCCShkf8R76m3EZhlcm6LWLNI1GxWIxGU+7cozVcEJ6ufZOvg9xFIjtc+RaPzGnow5XjtU9he\nD8cd0a09gZtfmduQFNBij539LzGoXlysJmx/wN3K7mJfOa9DomXHVNMI0x8wKawiZMLMWUIKlU7j\naWZ2jWbrVQKzxKi0w87+l5BCcLTxWbYPfh9FJowLa2hJln82wzGRnsMMJ4RGntAsUu3fwM0t/6Fr\noMY+F279S9Q0pFe7QmvlTxW5PsZDQuVkiJJK8j2XRFPQ/Rjdj1m+0V4UsFNVoXbQR0klx0+vUDqf\nYI08Tp9eJciZLF9rM1nK0b6wTb43xc+bjFeK+DkjK4zrKrGpsfrmGULCcKWIFmUpTT1KGK2UqN3N\nVhBaEHP8XNa8qXI4INd3iWyd9l4DJZFEpkZvu4oSJYhELgrgucGM6tGQWcmi0HWxxz7D1dKCWqy7\nIaXzTEwba8qiblK9O6TQzVJalePhIh0jhfhQBw14gBqHEOKrwC/N/+ZVoCOEeFFK+R8/pHN7ZLCY\n9SNptF+jNL5LYBbZ3/mL5NxzfLtKZOSxvD7d+lXGpU0SoZFoVvae7mQsKACZYobjhWI7Pz3D9rIf\nQHF8SHFynG2m6JSH+2iJj2fXMIIJikyo9q5ztPHTNLpvEBh5tvZ/j8AsoUcubq7JNJcFisAqU+u8\nSc7LLE2MaEp+epZZqBfXsf1+lioTYsHsyizY0/lnhbPVj+O4LXrVK6SqgRFN8MwKahrTaTyNkCn5\n8TFufpml1quUB3cYlndQ0yy98LYy/jHePxw+t8bKWy2m9RyppmJNzphVbPobZfJdl9jUmNRzlOeB\nQwJKOr8Xuy6FTjbQVg8HGLNME2IehOheRKk1RQKnV5vs/eCERFe5/eldRJLSuJ2tYBCC46dXyPdm\naH7EE79/g1Ejz6xkE+QNRCrZeOWYQtclyBns/9Q2zev3AplA0riT/R6inEH1cIAWJpRPRyjzlYkW\n3luhAHglm/RkhJCS8XIB04sw3ID+VhkE5AYzpvUcxjwN19v98NNyH6S6U5JSjoUQ/z7wf0gp/7YQ\n4vGK4z3A+crzhEZWx6jPrTvMYMzqyTcpTo6JVYNe7SrN9qskis7ZygtsnXwbKQR3t75AtX8DNfbo\nVS9jhFMct82wtI0iEyLNxjdL6NGMUWkbI5xgBSOm+RVqvWtAVncYVC9S7b2Fm1uhODmmtfw8a0df\nQ489LL/PW1d/jeXzl1k7/RaxanKy8Rl2R5nVuh7N8O3MmSZV1Gwf42NizWJUyJxzkWSixPwqkZHD\nDMY40xa9+hW2Dv4Vikw4WfskF27/Dlri01p6lmr/BnrsMS6sU5gcI4DS6ICzlY9he126jcetZd9v\nVI+GlFoTiq0Jhx9dJ8ibiBT8ssPpU8soiWS8WuIkzcSCvZ0aapxieBFeycR0Tcx5cTnIG5j7/SxF\npWVtA6SA3CATFWphQvF0hDP26W1XEWmKPfDIIzl5epWrX8ru39zIY1rLsXyjQ+V4tChm67MQ3Q0R\n6b3SbKrcq9tJAdOagzX2casO01oONU4JcgZ+0eTkqRWCvIkSJ7T36oxWipTOJySawt0XNmne6JDv\nuQzWSpRORxh+TKoITp/+8LsYPEjg0IQQK8BfA/7zh3Q+jyRS1aS79AwAiWrSaL/GtLBKfpIVutUk\nwpoXutU0mhebs1l8ZXB74ZSbaDaFadb/e5JfxZm1KaZHuM4Svl1l4/jrDEs79KuXqfXeYppfJVEN\njHCCFArXrv4aV978dRSZkJue4eaXKQ/38ewaxfEhpj8viCcBxeEdPLuOZ9eINRvTz9JfShqxcvYS\n48IGkZFj8/jrRJqD59QoTLPazLC0Q97NuvtJoaDOay75yckifWXPumhx9liPXIblC5SHdxhW9hjU\nLjPgngr4Md4/KOm9FWPpbIwzp94u3WhRO8z0OoYXUr/TQ8x1F2dPLnP5KzcpdKbMyjaTZoHmzQ5+\nweT2Jzap3R3glSyCvIk59okcHa9oEVka5dMR9iRAAuNmAWcS4EwChislujtViu0p3Z0atYOs+G3M\nQo6fXqbYytJUl/7gNqkqaF1sENk6bi1HUDBBQuN2F3sS0F8vYbohq2+18PMGuqqw/toZsaFy9/kN\ntl4+ytTnbkh1vnJR4gRnmN2f+c6UMGdi+DGRpX/o01TwYIHj7wBfAr4hpXxJCLEL3Hw4p/VoQElC\nhEwXdQOAWX6Zu/lMYDUpblLtvsUs38Sz6/PaR5Fe7QpqEiMVhX7tUqbJSBOm+VUc9xw99vGcOrlZ\ne7Hf4igT/BXHh1j+ADOcYIYTxvk18u45efecaX5lsRqIdId+5RLd2lW293+P9eNv4NoNRqVtAqPI\nytnLCGCSX6PavzEX/k0QMkEgKU0OcZ2MNqvHM4bmLnBErJpMC6uURgdIoTCo7qGkEWoS0ll6lkSz\nMf0B3aVnCKwSRjil23iKwK5ytvZTj8SP8oOM1sUlYl0jsnViS6PYmpCqgiBv3tsolQvVuJKkmSli\nNDe4DBO0MEvNmpOA5esdckOP8vmEwWqRylmWfrzz8U0SU6NxKxvcI0vDK5oUWxNiU6N5rYXthnR3\nqnhlG7fiEJsagWOy/vo5qaowWcojyMSAAGuvn2Zmnp/Ywi9YbL6aTbJyAw8lzgKi4UX3BIdxikjv\nmeukasbeMrwIr+wwWS5SOhnR26kxbhbI9WfMKh/OXuQ/jgfRcfwG8Bv3Pb8D/BsP46QeBRjBiJ3b\nX0KRMUebn2VaWPtD24RmkfO1T2B6AzbufoVYc+hX9lhqvUpoFjJRX+Sxv/MXSDWTWM/h5pYwgjGz\nwirT3Ap594xhZY/ScJ9KP+t5oaQRVmfIzGng23WK0xMSRafSv0EiNFpLz1Hp32B3/0sMyruocs5u\nkQknG59BC2fUu28gZEKsmvhWGdsf4Ns1PLtGvfMGo/I2w8oFllqv4tl1BpU9RuVdEkXFmXU52PkL\nhGYee9ajX7vCLNek2r9OouocbX2OteNvUhwfEmkWoZlZT7wdNLTIZWv/91HSkKOtzz+m6L6PkJpC\n9z5rjWtfvIRUBFJVSHQVJZEMNsp4ZYd8Z4o59lm+1uLw+Q0K7SnD9TJaEFPb7zFeKWLPvaZiQyW2\nsuFICqjdHVBqTfDzBvvPb7ByrcXyzS799RKdC3Uuv3gbgFzXpXw8RItSvKKFVMU8WKTMSjZamJAq\nAmSKmLvY2kMPaxwwWi6gBQmdvTqpKqgcDQlyBuYkIHQMYkNl/bVTRs0Cs6pDf7NC+/ISxiyzN0EI\nuvfVMybNR6dHzIMUxy8B/xPQlFI+JYR4BvglKeV/89DO7kMMe9ZdFHlzkzMizSYwS3Bfi9i3Uenf\nwApGEIxYPn+Z4iSbKaVCXbR4vbv1BSQKu7d/Fy3xOV9+nsL4aL7qEAiZoCYhahIyLm1ieQMmhXWG\ntYtMCyvo0YyNo4xam2gmRpxZMljBkF71Ekbo0m4+S6V3jeWz7zGz6wyre4xL24DE9Aekik5olkhU\ng+L4EDUOONr8LLu3f4dG53XaS89geQOKk2zl0Vl6ZuFh1ak/tRAGAuhzsaEWByhpTHIfuyo/OcUM\ns5lpcXT3ceD4M0Sq37tfR2vlxePxSpHq0YDcyCc38gnyJrn+DCEl3Z0aqapgjQNOn1gmMjUix2C4\nVsIrO4S2zvp8NWBNQ8KcgTXXWzhDH0VCZ6dGvufSuthg/bVsW6QksjTcik3oGAy2Kjhjj/LpGNPN\nAgVCgITVN7NU6dGzq5gTn9L5hM5OlY3XTlESSeAYKGmK7scYXsTxc2tIVUGq/Mluv48IHiRV9b8A\n/ynwPwNIKV8TQvzfwLsKHEKIvwj894AK/K9Syv/2x943gf8TeJ7MG+uvSykP3s0xPwiYFDeYjI9Q\nkwDL63Khf41pbplxeZul81eYFtZoN56h0X09s/8QColqMsstUZycIIWCkkYLlpLt9UCIRY0gNz1f\npKqKo7sY4dusqbfITc+w/T756QlCxjRbr+DZtYVfVmgUGJZM1CQgUS3qvWtIBJ3mM5QHtxfU3L7y\nBLXuGwzLF2i2XiXnthgVNihO5jnhYMLh9ucX9N789GxxvmoSokXefVfkXgFTSSJ8s0Kk5Yg1m+07\nX2Jc2sK3q6ycfJvALBMYBdQ0Ylzaevhf1mP8RJhWc+S7LqGtUz4eYo997LGPGiSUWlnDplRAY057\nlZCpzqOUzlzfERkqjf0+nZ0aznBGaBtc/IPbhJbG8XNrrP7wnCBn0mvkMcc+K9fapIrg6COZ/sma\nU2eNWcRgrUSh66Ib94KdSCUr17Lfycq1FrGuYSQRsanilfLUD/qMG3mkqvAY9/AggcORUn5X/GiO\nOX43BxdCqMD/CPwccAy8JIT4LSnlm/dt9u8BAynlnhDiV4G/B/z1d3PcDwJS1eBo63MAXHnz1wFw\nvKwgrCUB5eEdlCRYrC7Oms+z1H6N8vCAw42fptq/jhmMGBfWETLB8rqkQqVfvYwZDGkvP0fUd8hP\nTuk2nsT2ulR7NxhWspqC7feJNYfi6BBFpuRmHe7s/jxa7LE5F/W1l55ZFKgFEtPLRH5GOGWaX2bt\n6OsopOTHJwuVes5tEZhlrGBIYJao9G8xLqyjRzPcXBMjGBMaeRLFwJ51GJW28a0KvfpVZvlllCRk\n9fjbqDIi1PNAHyNyacz9rbQkRJu1uXPhFx6vND5AKLQm2COP/laVRM/Ee90LNUarxUWfjdzQw88Z\nzGo25fMxiSpItXsDcr7nUj7NVpJB0eT06jIXv54JXEfNAvuf3GH7u1mtzvBjavt9rGlmfdPbqWGP\n5/dqKll97Yxid8qoWSByDCb1HKtvZeQMLYg5fnYVYxpizEK8gok9CZjW87QvNsj1Z0waeVJdpb9Z\nyQregDENkIogcj6YHQDfTzyoO+4F5lNDIcRfAc7e5fE/Dtya10sQQvw68MvA/YHjl4H/av74N4H/\nQQgh5EPseXt0dIQ+HVJ97Z89rEP8CMYo2ELBixWU2MUUEKKgjM9BQCqhfP4KqkhR/QGNu9/EVrJi\n4zjVMUSCKVJK46P585jmzS/hSh1EQPPom4ykgS8Ehd4tRlJnjI4VeYgwIBUQo9C8/XvEUmHeQI18\n6w1A4qMQSpW1428iBLhSwxt2KYgUBGjeAFeqGCIhjBPMZMgMFWNySmF6gpTQkxZ174cIAaEU6EiE\ngFgKPNlm5ewNyiIkynrLgQARuoSoGAICqRBP+kgBEQrOza/i8P4WyvVph6Oj6H095p8H6F7I5veP\nEBKssY8WJjhDj/56mdAxaNzpMlwrce0LF0k0hdLZmNOrWY8NzY9QEklsarg1h9L5GJFKZmWHxFBJ\nVIGaSKQi2Hz5ED9ngpRz1pVOoT0hMTTynSlKGNNfL2dOu4vC94xrX7yE03fx8ybWNMCt5Zg08lx+\n/SZKKplWbW5+ZhdjFoIQjFZLQGbnvvb6GbGpcX55ifXXTpEC9n9qG6/yhxuLPUp4kMDxN4F/AFwR\nQpwA+8C/9S6PvwYc3ff8GPjEH7eNlDIWQoyAGtB9l8f+wMBHw5f3voqZ1Hi7b2UoUxIEKhKTgASB\nh4ol74mUkvkAmkpwRIQmQCcmkQJjbh2aJ8aaP84Ro5OiCYkhElqpTV34GCIlIWGYGtnxRIwhJFLC\nDH1BaFKQmKSEKCSpQBWSvBITSgVLpPPjJ/hSBRIkkHKvjWRCVsDUkcQIdBJsESMEGKQMUgNFSgJU\nUhSmUp8nssT8Oj1mVn2QIIVACoGQEqkoOMOsPpXvuSjtCWqcUrs74OyJZer7PZavZ6khNYxp3upl\ng/EntvFLNgfPb7D6xjm1u30OP7LO7U/vZjYetzvk5vTX65+9wOYrJ9hjn1GzQG+rwu53MxfpkamR\n6irD5SK5wYzubo3VH55TPRoQGSq3Pr2NMQ0pno4yhTeSVFNZvt6m0JkSWho3PncRFEG+62b3aRCT\n72WPhQRrEjwOHO9kIyGEArwgpfxZIUQOUKSUk/fg+H/UCPDjK4l3sg1CiL8B/A2Azc3Nd3VSGxsb\nHAU6/Wf+9Xe1n/ca5/c97sQ+9fYPqPVvkgqVo7XP4OWWqHXfotZ7C8+qMittk+u+iZJGDJtPU+td\nR4s9Js2nMIIR5dEBvllisvEZykdfRw1GJGYezSiiJj6BamFMT0k0E1naYhzNiPQc3cZVLt74fzNv\nKSOHkiaQ+OhC0q9dota7zsyu0a9eRo+mhGaZ5vn3CEWJYeUClcFNZJpwVr9Ks/UKlgwYlnbQpyf4\nVpXzrc/9kXYrf9aovvbP2Nh4NDq8PQhiS+fOJ7exRz6j1RJe2aJ4Nqa7W8ca+zTudJnUczSvtxcN\nkABMN1u9CQnWyCPVlMySxA3BDSkfD6kf9LOeGrUcDH0iSyPVFKx5Wsoe+6SqQqyraPMWsNsvZUHk\n6Lk1Rqsldr61D4AeJlhDn/U3sl9Se7eaFcJzJrXDe7YlSiopno5IVYXZXF9yfrmJkJCqguFa6X27\nth9UvKNfp5QyFUL8LeCfSCnfy67ox8DGfc/XgdM/ZptjIYQGlID+j22DlPIfkK2IeOGFFx5aGuu9\nQqP1Ayy/T7v5HFKo2LMOk+LGjxgc/klINAs9zvK7ikxACPTIpbXyPL3aZXZv/Q4rre8zzWUD3XLr\nVTyzwri4wVL7B4RajoOtz7N+/E32bv1LOvWniGpPINKIlfPvAdCrXuRo82dwpi1q/awXyPH6p1HS\ndOEtFekO0/wq+ekpM2cJZ9ahX7lEohqsn3wTKRRGpS2MKLttLH+IGWZzDtvrZucOIATXn/hrD3wd\nc5NTqv3rjErbjMs7D/z3j/EuISVqlOCX7AXbqLtbX9BUxytF2hfrPPF7Nyh2XAJb5+xKk8RUGS8V\nMs2EgKVbHbS3WgzWiqSKyKi9c8U5QGRrHD23xvJb5+x9Y39Ri4hMlb1vHRDYGgcf28YeBwt7EWMW\nsvm9I1JNZbRUwK3nSO+zQlfSjPYrgP56Ga9kMW4WMCc+669lw1B/o8Lp0ysACx8sMdd8KFFCvjPF\nqzhE9qPVl+NBpnVfFkL8J8A/BhbBY96n4yfFS8BFIcQOcAL8KvBv/tg2vwX8O8C3gL8C/KuHWd94\nP2B5vUUjJqTE9npoScB0eMCgepHi6IBB9RKJZlEe3GRaWMfNZzev47ZQk4BJYYPz5edJFD0bpI++\njkBysvZJxsVNlLn2Qk0C9Dl7yQpHyDnd14hd1DRa9NWwggGpqpMoKrFqoqQRSppQb7++cL2VZGyt\n9eNvEOg5jtc+SbP1Ks32D+hXL2F7PXKzNrlZm3Exmw8ImTKz6xTGxySqQb+6hzNroaQx/doVIqOA\nEY7p1Z7AnnXw7DqW16M4PmJU3iGwMoqnMz2nOD5kWLmAkCm17luMixs0W6+gRzPyk1PGxc0/ks78\nGA8PG98/ptSa0N8oE+RMmjfajJcLHD93X4MtkRXB1Tgl1RQiW2dWsTORXrOASCXVo0x1rgUJXtFC\nSVJmtRz+2Qg1SglsA8MN0YNsoiEFnDy9wtrr8zYCXkz5dIzTdxmsFgnzJiJOKc7ZWydPr2APPYq3\nJvTXS1mgyxsLI8NUVzi/0qR0mqnhpchWQon+o2yq9VeOKZ+N6W1WMGch+a5LZGpc/3yW3npU8CCB\n49+d//8373tNArt/xLbvCPOaxd8iU6SrwP8upXxDCPF3gJellL8F/G/APxJC3CJbafzqT3q8Dwoi\nPUesWmiJT2CVyc3tN9Q0YO346ygyxfG6JIqBFQyp9G9x/Ym/iu312N7/MgCt5nOUhgeY4Zh+ZW9h\naphzW5RGB4xKO0ihkCoqUqhY/oDQLBFpDlJRSVSD3LTFoHIBPXRJFINmK+stfrD9swRGgcs3smaP\nahJysP2zpIpG8/z7AJiRS6I56PE8KHn9zCbFPSfSHVx7iUQx8O0qUtE53PwckZln9fjb+HaVs5WP\ns3b8DcxwzOnqJ9i8+xX0eEa/cpHS6C5qGlIYH3L70i+DlGwcfhU1jclPTpCKhhmMKIyPcPPL6NGM\nwPqjNTCP8RAh5WJgLp5PSPQZSiopn47pbboYXsx4uYBUFe781HbGmjoesvnKMaGtM63lqB4PSTSF\n7nYVww3xStaiDWyhM+HWZy5w6Q9usf7GOdNajnA+sy+fjFi+0WG4XGBWtvGK1iIIqLGkfXmJ4ukY\nCUhFEFo6a0cZl8cZeAzXyzRvdBg18/glm+52jcrRkLUfZtucX2oQ2QajlSKkkvLpiNDSKM2V7aWz\nMbGZDZ9qlCDSrID/qOBBlON/Yh5ACPFzUsovP+gJSCl/G/jtH3vtv7zvsQ/81Qfd7wcZWavYX0SP\nXHy7hptfIT85Afz8YgAAIABJREFUZVC9yPrhi1jBiMAsZZqHABJVR6QJ6nx1AJkJohXMvYFCl279\nSZQ0xJr1cObU2GFph+ogc4W5X2B3uvJxVs++C8CksMbh9hdZmgcNCdizNoXxMZ5Vw/Z7uPkVZvll\n9HCKZ9dR0hjPqZFzTxkVN+YdBw0a7az5kpApK63vkagGqaJR619HIhiWd8m72Q8z0pyFX1WlfwP9\nbcGhPyBVNNQ0zOocUmIEYxLVRE1jYs0m1m3MYESk5zjc+BnsYIhv3hOffZhxdHSEPnCpf/n19+V4\nTiJwUoGrSkIhcVJBICThfCI+VQR2KpglESQRBtn7O98+QEEwey0lFWCmgqmaYiYKINC9EOc4BARq\nnKIfdhAI1P6IdE7rM/fbNA/a6PO/sXpTelqmAF9KsklC7nxMqEicoUuEQEeQej4Xv3ITBcFUpARC\nUn/5gFAIdAmR57P+nQMMmQ30cXfE1q3W/BNnxy7cbGFLQeM1iJHkpYJE4gmJKbPPG/ohqSLwhaT2\nlTfel+/jj4M+cDn6EZ7Rw8V7WYH8e8ADB45HElKiJiG+VQHAza8sUlEHuz+P7fWYOQ2ETCmMDqn1\nrnHl2m9w3vwI5ysvoIcTurWrqLGP5Q/wrTLDyh6RWaB5+hKO3yfU8yRqNjuTgJD3JDdCpotWrBLB\n5bd+g1QotJaeJVHNRVAZFTaINJPi6C4zu85S+wfosYdnV5Eo1LtvAXB3+4usH30NgaQ4PmLmZKkt\nJYkW6niBxLfK817mKuPiBvnpKXrkMqrsMcstk3NbdJaeRiQJtd4bDCt7rJx8m8rwNp5Z5nj9U0zz\na0hFoz/rEFgVUHU8p7H4bEYwxvIzVbx8vAJ5d5BQSAUCQSHJ2HA6AgdJW6RIAa4qcdV7meOZKlEl\n1ONsUFbJAg9APlEYqilOKua0akmKIAGKqZIFDpHS1lKKiaCYqqRIxorEkJn/VTNW8YVkoqRYUuCL\nlEKafc+uSJkoKSIFex4AVKCYKFlAQdJSU1QBagIGghhJKVHQ5u+PlTSbPKUCBYElwRNvc/oEnpIy\nVu593rH6Y1lzCbbM9hV8iDWD72XgeHTWae8Sa8dfpzS6i+sscbj1eXJuC8+pk2gWqWosgogEvNwS\n1um3ASiOj5gUN6j1rpOfnLJ/4RdYPfk2je4bVAc3aTWfozA+ZljaZljZpdq9zrC0zaSwjuO2GRfW\niTWbRvs1AqNIv/4Epj+gODlGJRMlBlaZVKgoMkEqKqVRNoup9q4v+oYoSbQwZpQIrFmXaW6Z/NxR\nN9IsIqOAZ9fQwymD8gUiPUdlcJtpfpVW81k2D19Ej2acrH+KSXGD3PSMnHuO6Y+o9G/geF3ybot4\n3qzKDoZMC+sL8sBsbgSJlCyfvYTpD2kvPcvm4VdR04hheTfrHvghw8bGBkf4dH/u/bGUd14+pNie\nMlorZ42aei6xoaGuFgFB6/IS+a6L7oUMNiqY0wBn6HGiCJyBh583qJyOscc+460q50+usHS9zdK8\nv8btT+2QaAoXv3YbJHgbNbpPrZB76RA6UxQEo2c3iA2Vze8fQ5RgSsHgchPnVpe0ViTtTFFSSbha\noXoyIhXQ26yghgmjtRLN6230aUCqa8w+us7Od++ChJMnmow2Kux+ax9tEpCYOodfuDj30upTP+jh\nFS0GKyWMMCayMir4tJ5DqoL6nR6zsoNbc1i+1iayNGJdpTSnGx98dJNpI/++fE/1L7/OxsbGn77h\ne4T3MnD8uS5Yv59w5q1fnVmHjbtfJT9rEep5Tlc/wVLnNdzcMp2lZ3BmbSLNYVC+QM49p1+7THmQ\nmbuZ4QQ9nKLNawxKElHrvIkRuxgjF8sfYAWjbLWRJpQmWQCY5ppoaYjm92mrJmFxk+L4iFTRKA9u\nYfsDRsUtYt1BJCEzu4HtdRlW9/DtKoXRIUY4odp9k37lYlb3aP8AgOO1T7J2+h2ETJnmV6j0b2IF\nQxJFY5pfxQqGWMGQWa6xYFkVJieMyzusnHwbI3LJT04XKxaJoF+9NK/ZbFMcHaCmMYPSLluHX8EI\nJ3QaTy2aWNW7byza4v6onclj/KQ4fH4DLUyIjYzlVGhPMNxwUYdASurzDnyGG1I9yroCjpYzA8Pq\n8ZBZ0aS3WaZ2d4Axiwjy95iDpdMRhc6U/ka2+s71XJbfPOf0yWUat7skusrGK1kvlsFqkdzAY7hW\nonY4QI1TSq0Jh8+uYI8C1DnVV5Hg1nLUDnpsfe+IacWmu11FDWMK7cnCudeeBiy9eItYUzi/1GC8\nUkSNEva+dgctSuhulim1pqxda+FWbEQqcUY+saEyK9kUO1OqdwcMV0uUTzMm12D1HlX3/j4gHzZ8\n8MjyjwBaKy9Q7V5jVN6hOm+mpMUzllqv4vg9nFkHJQmp9a/PGzd9jPJon5XT73K28gJqEhIZOTbu\nvkis2/TLF5CKhpqEmKMprrNEpNlY8zpArGc0yVQojEtbOLMugZlZoxvhmLPVTzAubnLlWmZ+bHs9\n9PEhAsnMrjEqbVHvvsH58gv0Gle5fO2fApCbtRhU9hafS0iJFApCpqSKRqq87Xaq4uaWKY6PiHSH\nRGi4ztKcHbZGvf06oVHAiFwCs4Bn1Yg1B8+usdz6PlIojGXK6mmWQjP8UebNBThuh0iz0GOfaWGV\nUWUXx23Tq199f77MDzuEIDY1lChh6WaHRFfxSvfaAETWvSFESBZNlESSor7dUS9OKbTnE4XOlLMr\nuySqQpA3WfvhWVbjmDvOWm6I5faZ1pysdawiFqkMIUH3I8rHQ4Zr5UwfspRn/fVzlFQyqTqMlosk\nmiC0VOy5T5U1DdGDGHMWkSiC3kY560ooM3GfHkDXNkiVTB+izS3gzVm4+AxqlC5yKiKVi8J4qir4\nhcxSPlUE3Z0qfski0dUPtVvuexk4Dt7DfX2oMS5tz11lwbdrVPo3GBc3cGYdHL9HYBTQ5sViNY3I\nT08RMkWVKYqU7O/9JVaPv5mtLmKXWLMpDm8jEZwuf4zl1vexhMJ586PUum9S6d+iXX+KvHvOUutV\nTjY+Q6zZ7Nz5XQAK40OETBkVNzHCCb36VZbPXkZLAlJFpzxvFFXrvomb+zzTXJOc28Z1lshNzhgV\nN4k1h6X2D/DMCp5Tpzy4TaLqtJaeQ018Vs++y8yu4dl1Vs9fnvdX/8ts738ZLQkIjAL7uz9PcXhA\nvZ8FUzmXqguZos7NGwECs4hnVTHCCYPqRU6dT6ImAZFRWFzfx3hvUd/vLVhLR8+s0t2uElkavd06\niaGR683oXKgzaeQonU3oXKijRQnF8zHD9TL20KNxq8usYrP3jUyQd/DxLSZLBcqnIybNAn7Bwhn5\neEWLtdfP0MOEWFfo7FTR/Rgps+Bh+HHmhGvrxNp9dSxVcPZEk4tfu031eMRwvoLob5Rp3OkBEYmh\nkmoKlbsDJo08sa6QGBqpCpe+mhFJepsV1CihfbGBFsQU2xMGa+UsPXW7h18wGWxVCR0dkUgGWxW8\nkkX9YED9oM/Zk8uLjoYfVjxw4JhrLj4CvCmlvPb261LKD5bM+s8JPKeON0/NTIsbWZFbd9BiHylU\nAqvCuLSFHmWBRA8nGMGIcXGT4uiAWHMWRXCBxPZ7mahOJljBAH0+4JrhBMfL0guV/k3ajaeYFNYw\ngjGRnlvYm5+sfpJa9y1i1aKz9AyT/CobR1/D8jO67d7Nf4GW+JyufJxq//oiHebmVtBjDz32iA0n\nS4elIbFuUxxnSl7H6xHpucW5Kmm86LEhhYIaB/eeA6PyLiBIVZ1O8yPMcssoacS4tE2/8eSPXMd3\nKpx8jJ8Mbxv9STKabPkso+HOKg5Lt7oYXoQ5C4lMjVJrktU5nl7BHnlIRdC60mSwWaF2p0d5Tmkt\nnI9RwpjuVoXzJ5qgKPg5g8TUWH3jHD1MSHSV0tkEw48YLeXxCyahY1DoTDFmEdXZiMOPrJPrTdG9\niOphHzW+p07v7NXZevmIRFM4faLJZLnI3tduZ+rw9oTrn9sj35thTULernlHlp6tfqZZX47y8Yjy\n8YjTJ5epnAyzzoZRQuNODyWVmF6EXzAptrNr4pUs+tsfbgPOPzVwCCH+uZTyV+aPfxn4+8BXgb8r\nhPi7Usp/+FDP8BHD202LIiPP6cZnFq/f3fk5Ll37TXKzNqXxXfrVy6RCZ1JYp9t4ck6RbTAprmMF\nQ1Kh0Wk8hR66qElAr/4EeuRi+X0izWJ3//8jFSp3LvwlCpPjxXGcWWvhdGsEY/ZaryBkytHGZ5Gq\nhtbO2sznZm18u4oVjAiNAuPiOrlZC98s0a9cwnFbJKqZFfplmrnb5lfp1p9ASImbaxJrNtPcnAgg\nFDYPv0qKwtnKxwisMrNcE7dwr3/ztHifqOwx3lcMNiuEjkGiKZTPRj/ynjrv6KeFMeo8zWN4Ic0b\nbXIDj9zAI8ibVA8HuGWbcSOfdYychRS7LnRdxitFjFm0UGwfPbuGOfWZFS22X8kMCw0/JjZUrLHP\ntJ7DngTMShbTqsPSrQ7WJKDQcensVLHnK5fS6Rg1TlHjFKkIysdDJo08xfaE/kaF7e8eYrkhfm6u\n2ZASkaSs/TArcA/WSovUVaE7XdRHdD+6l5ZLJX7Rmru/gl+4l8r7sOKdrDjub3jwnwFfkFLuCyHq\nwO8D//BhnNijDj2cIoUgns/QEQIpsuVvKlTq3TfQ0oBa/xp65FKcHJFzW8SahRmM8c0yahxgRFMS\nxSBVdFLVwDcri54YikwojvbRI49242lCq0ysWhQnxyAhUbUFk8qZtUgVg0l+BSVNiDSH0nCfQTnT\nf66evcQ0t8zhzs9ien0SzSbSc1hej9Wzl+ZtYi+xdvodcm4Ly++Tn55SmGbtPKf5LEAopMycJQI7\nK5YqSYiSRveuw2P8mcGtZ99Bq2ASmRr5rkt9v8fJM2vkOxOm9TyxpVM76DFuFjHdIAsajk71bh9n\n5OMMPQ5e2MgMBOf9y2NdIbJ0nME9QkO+N6VynDGkOrs1zGmAW3UWvTNEKrn7kTU2Xznh8ou3mFVs\nrElAZOv0NypcvHuHfH/GqFkgtHViQ6XQmVJsT5ECbnx2j8gxuPJ7mZWOFiUcXlqieDZGC+45ILu1\nHPbYRwLtvTqRoaFGKa0rS8wqDtYkoLdVZfWNM/y8wfnVFWa1D/+9+k4Cx/3UAE1KuQ8gpewKIdI/\n5m8e410gNzll8+5XkEJwd/uLOLMuQibc3foC5dEdArOE6Q+p995iVNxaiOfUJKQ0uIOSxjhel2r/\nOno0Q2dGvftD8tNsNufbVYalbRLNotF5Y66xqDBUddaPvoZvlNi/8PMoaYLjZasPMxjPB3nBzUu/\nwu7t3170DYm1rPied88RaUK1dz1jdfkD0nmxXMgU2+uizVNuWuwzm+svpKIxLO+SKhqz/DJmOMaZ\ndZgUVti9/buoScDp2qcYVX5ik4LHeA8hVYXY1Cl0s4J3oquUzidUj0ecPdEksnTq+z1al5eyAdrU\nWLrdwRn5+DmDlTfOML2YRFO48/FN1l4/4+KLtzh+do3uVgUlSUnmfToUSWbLM/aRAgLHQPcjvKJF\nbuBlbWLjlNFSkUk9T6E9pXIyWjCapCJo7zVwhjPU8G27EkGu57L07bt4BZMgbzJaK7H10iHmLCTW\ns7RWYmpM6zkMN8QvmOQGHo07PVJNYVa1FypzKVhci3xnugiwH2a8k8DxrBBiTMYpMIUQy1LKcyGE\nQaaveYz3GLbXRSARUlLp36I8yoqJShJR7V9HkSntpWdoN57G9np0a1fJW2e4ueXM1trv4ZtlBpVL\n5KfnpIrOsLxLYXKCSOPFvgfl/5+98w6Pqkz/932mZ/qkkR4CIQklFImCCIIIiCiooICILqyKXX9i\nL7jLrouKXVFhlbJSXBWkiA1EkCbSIfSEAOl9Mplez++Pkxxhq36XojD3dXExMzk58543Z+Z536d8\nnnaYHSdQh7wEVTGYmiWXlS7gQOtvJq18I5qAi9rErnIXP1EQ0PqbcBvaYGkuxWVMwaNPxNpUgk9n\nI/PYavxaCyICIZWOhvhOKMPSCs7cdIyg2oBHn0CzORNV2EtIFUNQoyetfCMg4IuJJ7kle0rnzZK1\ntAzu6qjhOItYKhwkHarBFW+goW0sKfur8Rs0VOSngELAb9JKGU8tGUatcQVDgxtzrSSrnlhUhyPZ\njNbpp7ZDAh6zDo0nKMU4WgyHIhxB2yJkaKluxtDoQRUI05BhpSlFEjzU2z2ofSEsPhdFfduRdLCa\nlIM1uK2SmyqiVtCcbCLrxxPEOP2YGtxUdGqDsdFDY5qVdi1quc54A7Xt4wlplVgrHGh8QTS+IDUd\nk1p6iEvXLgoCClEkpBBIOlgjiyY62phkQ2Vo8MhuK1GAkFopqfi2Gg1RJLWwCmOdi5q8RJpSzy9l\ng/9qOERR/HfGQQ/cdXqHEwXAHpuDztdERFDgNKfJhgNBgaLFzaTzNkouJaSsIwQFVvtGapILaLJk\nYbMXY3JVUpvUg4Sa3VgcJziSOxKdt5GsY6sAUESCHGs3lPi6QmK8jXgMUopsQCP5ejUB6QvA4KrG\nGxOP05iKW59A5om1iEBNYncSa/dgdFVRljmA5MofUQc9xHjrOZI7EmXIT3rZBkSFAq8uDluTVINS\nnnYZ2oCTpOrtgCSN0hoSVwV/El8Oqk00WduhDriojz81GB7lzBJ/rAG1P4StwoGypTGTvsmLM8GI\nKhDGHaenqH82OocXjy0GRTiCxh2gJicRjSeIzuXHZ9SS3NJ1TxkMY2op1HMmSF/gxnoX+kYvzngD\nWneA5kQTlmopwKx1B9A5/agCYZoTjYiAz6wjrFGid7RKqvs52rcdWVuOk7uuGHesnhinH79eQ2xZ\nEzFOPxpXgHCrwKJSQUJJPYIITclm+ZxBrYr0HVIAvbZdHGpfiKQWl5gjSYo5RgRozLChDEUI6lTU\n5CagCEtxk8aMWDyxBrxmHbYKB0mHa2lMt2ArlySB4koaLjzDcTKCICQhde0TgW2iKP5wRkZ1AWFs\nLkPrd2CPzSGiUKEK+Qip9ZRnXC4fc1ypRREJ4TKnEVLppJTZ2FxivPWoQz4CGpOsSWVtLEbnsyMg\nYms8QkitRx3yYbMX0xCXB0QIKTWowgH8OishjQFr0zEUYhhtoBmnMRVL8wk0QaesWOvT2YhvkJoy\nRlpkPARA52uUxRV1XjtufaLU40MXi87XRIynDm1AyqDx6uJa5EZUKMIBOd0YwGVMRhQUiAoltUkX\n4TUkoAz5scd2AOFf6DaIEaz2o4TUMbhM0YD5maApxYKu2YcnVk9zGxOmOhchrYr4Y43oHV5CagUN\nGbG0OVpPUKPk+MUZtCmqI7bUztE+WVhaCuKsVQ4UYfEU2XERAUOjR4p5OHw0pFsx1buxVTRRlZuA\nscFDU7KZ9MIWV5BC4ETPdDJ3ltHh+6PUZsdjrnXiNeswVTejanFB+WPUOOP0+E1arBXSfafxBSnP\nTya2rAmfSSv3Og9plHisMWi8AeKON8ive2L1hLXKlnFKuwy3LYaAQYOtXDpHdW4ibbeVYmz0UJcV\nS9vtpehcAZzxBtlllXA0hCtOj7HBg+M87N/xsw2HIAh3AM8B3yF9b7wtCMKfRFGcc6YGd76j9dpJ\nL/0eAdD4neh8jcT47NQl5OOwtMXgrqbZkvmTvAbQGN9RflySPRx10IVPZ0MV9mFwSdXlOl8jtsbi\nFmOkJrF2N259Im1LVqGKBKiL74Iq5MXaWAwIuI1JmJwVuA1t5MI6rc+By5CMMuyXg+kAzeYMQuoY\n1AE3IuA0phJWqjA6y4jxNlAX1wlb01EyT3xHszGNsFKDKChoSOhEXZtutKnaQUrVNkIKNbWJ3Qip\ndDTb2tF8khvq5DoMnaeeoMZAWKnFZi8mpNSh89llWfpjWUPwGhLPyN/nQqahXRyNmTZEpWS4XYlG\nwiolWT8eB6TgdIxDCmarA2ESi+tlF5WogPjjUjV5VW4ixnoXak+Asu6pWCscBLUqUAgY7B4CejXG\nhpb4QIOHYEvsRO0LUpcVh77Jg8+klTrwiaAMR4holCiDYeJP2PEaNHjNOoSIiNofwtTgwdTgobql\nX4c93UrKwRrUvhD6Rg81HRJQBUJ4rXq54l3r9MtuM79eg7HejSPRSECvIWNPBWGlguYkk5xG7DPp\nMDZKCx9ztZQqDEgBfFsMBrsXV4KRyvwUhHBEnsPziV+y43gM6CGKYgOAIAhxwGYgajj+rwgCrS1i\nBTFCjE+6kY3OCmyNh1GFA5gdJ3Abk7E1HsEem4NfayGxZjcuUzKNcXnE1e0noLVQntYPk7OMiEJN\nTfLFNMR1QiGGCWjN1Md3JMbbILuotIFmDK5KlJEQcQ0HqUjpjShCfUJXlCEfcQ0HcJrS5IZOAiIn\nMq9A764lpDFQY8kg78DfpQ6AagOlbQeSXfS5NHZ3laziq4r4OZwnCRvrfHYMrupTChubrO0IaQzE\nNhzCaj8qpRgrVCTU7pF0qRRKEur2EVJqsduySaiXFEgdlp8S/U42alFOLyd/4YVa6jjKeqRha0lp\njSgVCIdr8FpiCMRosNQ4CasUhE8qftO5/JgapL95RKOUV/b2VAtNSSa07sBPRYDxBgwtmVU6V4AT\nPa3Eltkx2CV3livOAKJIWCGg8kvZfupgmJAgoHX75Yr2iFJA65JiHTHNPoIxatS+ECGdmroOCSCK\nmKqb8eul1z02PZqWWgxTvQtzjWQAHUlSQanypGB9RCEQ0ihwJJnROX3YUy1oPAFU/jCiAox1bura\nxlLTsc0/zeH5xC8xHOXAye1inXAWdXzPQ/w6KyfaXonW76DJ1p6wSovBVU19QhdSyzcBoIiEiK/b\nh0IME19XKGVUBZrRNjSjDrjlOIciHCSupeK6KrmANtU7EcQIFWmXYbUfRetrwmHORBXy4NEnEFTp\niG08gsOcSWrFDwiIUm8NQSDG24DLmIrbkCTteszpGNzVxNcfJL7+AEfbDyOk1qMJuAiqjWh8DlyG\nJLR+Bz6dDb/WKlV7h3zkHfg7tW26kVi7V3K3Gdpgt7VHEQmRefxb7LYc2tTsRECkTfVOQmod2oAT\nbcNBXC1ij6qw/xRJ+SZLFt4YSZbk5N1YlDNPUK+hNuenHd6JizPRN3pI2VdFc4KBii4paLwBFC1B\nc7ctBktVM0JExGOJwVLhaMmUAmtLPCOkVRFWKYgra8KeaiGiUuA1a4koFXKrWUEUqclJpN0PxzE2\neqjPsKIQwWvSknqgJY4SCNOUZJK6YbYYFlUwzPGLMzDVOtE3ebCWNaFv8hJbZiekUXJoYAfSd1cQ\n4/QT4/TTmCa5lcIqBXXt4xFECGqUqPwhPBYd9VlxZOyqQBERqcuKJaGkAWUogjNej7lGMpC2Sgc1\nnc7v+/LnFABObnlYAfwoCMJyJPffdcDWMzi28wpV0E3bY6tRhIOUZQzA3HwCnc9OdVIBLmMKpuYy\nqY1ssvQnOaHSYXRV0mRtT3zdPmxNR3FYsghqDMT47Hhi4vHGxGF2lhNWqIkoflrZaH0OOYhudFbI\nfS+UkUBLl746GuLyOJIzElXYj8FdgzrkIaTSYWpJ2TU3l1Ke3o+ME99hai6XJMyRdh9GVyVBVQxO\nYwphVQwZZesRgcbYXLnFbFXyxXI1usV+FOSdgYKq1EvJ278IhRghoW4PLmMyJlclLlMyQbURrX8/\nbn0i1W0uIlHYgy8mjvr4Tvh1VsIqHW5zGr6QH6GlxsTgrETns2O3ZZNUtQ2Ts5KapO40xeac0b/p\nhYjaGyB1byVhlZKKbilEVErijzWgc/mlSusWaZKIQqDk0rYYGj1U5ybibGNC4wlQk9eGoE6FK9aA\nocmDxhPEa9GReLTFReryo/aH0Dd5EUQ4UZCBpaIJISxirHPJulXKUARzjQuTAlyxerSeAAHDTx39\n6jNtko6UWYfPGkP6ngq07gDGeg8em5Q+rgqEUYYiuBKMmOrd+PUafCYd9W2VNGRYaVPcgCIYJmCL\nketHzNXNks4VoPEG5bRfRQQa061Yy5tkwcbzmZ+z42hV6jra8q+V5ad/OL8e1K46Yvd+dtrOF0MI\njULqTZFU8i0xghTQSy3+Cg0RFAL4RCVhBPSEcKMiIgq0r92HHyX1ogaz/RhBFNSJGkyeBsweOw2i\nFmUkgrq2CGfLn1PVUIJXUEqBa3s5QUFAhUikuR6FoiVtsv4ItvpDKARwRFRoBQVqZyU+lKiJEHI7\naHNoJTpFS89nvwcPSoKigoTq3SgFEb27DjcqECSHW0z90dY+OBgqduEXFKiJEPa6caNAIQhoXVXk\nFi4kiIBWgGA4guCsoVHUorJXYBXCOEUVbpcTW9G36IUAmuZKhOpD2ARp/vTiVqxCAAFwimpMQhBB\nAHP1HmJaSosSKrahKN932v5+IN0TcH6vJP8bscftGFtcT86qZtxxBpwJRkw1TgJ6NYrWftwRkfhj\nDVgrpbhATTAsK+pWdE4ifW8FEQGOXZyOJ9aAyh9G7/DSkBlLekv1uM7ppzLfSMq+KjTeIJE6F7Xt\n4tC6A4TVKpThCMowNMb91PO7teVrRKnAVOfCVOfCHafHZ9ahdUvGpbJzEkmH63DHStlgcSca8Rq1\n2FMtpLRkgSnCEVnxNtiyI1KEIzhSLHhterQuKcW4McOPodGDz6BBHQhzaHAeEdX56Z46mZ+Tjjv1\nbAzk10Rubu5pP2coFKKqqopIJEJWQgJ1dXWEw2GSYy3Y7VJsw6JT4fdLLhmzIoJSqSQYhBjCxOo1\neL0BNERINBpwuwNAmDYWA83N0oczPj6epqYmQqEwKpUKrVaH2+1GoVDQpk0SDocDUKNWq4lXq6mv\nlz7ISQY1Xq/kWzYaY/B6vSjDQcxmMw6H9GWdajXicDgQFBF0Oh1erxetVoNFpyMUCqHRaDAEg0Qi\najQaDTikD11sbCyNjdIq0GAw4Ha7ARGb2YTVaqW8vJxIJIxKLRAOhxFFEZMQolu7DGpra3G5/KgQ\niTepcbnCu2yNAAAgAElEQVSkuUk3qluuH1JMWlwuybjFG2MQRRGPx0ObOBu51tOdApl0Ru6N3xLu\nOD3xxxuIKBWYq5pJK6zCFW+gKq8NSYdr0HgC2FPMKCKiFARvQRH5KRalb/JiqpMC4rZyB2mFVah8\nISryU3CkWVGGIhjrXSBCxvZSQloVGm+QkFZF3IlGlGGRpiQTPqOWiEqBodEjG7MTPdMJxqhP2Z3E\nNHkRQmGccXoquqZgbPBgqnNhaHSjcQfReKT7x9tyTwEE9GpCagXKYISgQcOJzHQCeg1qb5CIWokj\n2Uy7LcdRBsJUdkoifU+lVOjm8lOZ/5NMzvnKL8mqWsu/6LkhiuLA0zqiXwGPP/74GX8Pl8tFU1MT\naWlpbNq0iZ07dzJy5EiWLFnCF198wU033YTJZOL999+nT58+dOnShffee4/4+HjuuOMOpk+fjkaj\nYezYsfz1r38FYMyYMXz88cfU19djsVhISkpi/34poJycnExVlZTeOG3aNHbt2kVpaSlKpZLRo0fz\n9NNP4/F4uOGGG5g/fz4gGdDCwkJEUaSgoIA1a9YgiiJPPfUUycnJzJs3j02bNiEIAn379mXVKin4\nftlll/Htt98C0LdvX1asWAHAwIED2bZtGy6Xi8svvxyz2czq1aupq6sjPT2d3Nxcvv76awoKCtDr\n9eTl5bFq1Sri4+N54okneP7551Eqlbzwwgv8/e9/x2638/DDD1NTU8PRo0cZNmwYer0eURQRhGhf\nsTOBK9HE4YE5RBQCOeuKAanoTxEMoxCRiu5SLViqmwkrpN7dGncAd6yBkEaF1hWgKcmEocGNyh/C\nb9TK2UrmmmbiTjSiCEWwp1lIOlIHSGq1XrMOv14tu4xUwTDKUBi1L4izpegurFIQ1KlI3VuJEI7Q\nlGwmrJb6iJhbDJW51oW2ZQGiCIsE9GrCKgURlQJHsgmPLQZRoSCiFCjvloq22UfykToSjtZT1TGJ\nlAPV8phaDY6p3vXTBJ2/LThOQRDFn3elgiD0POmpDhgFhERRPPPfsr+QgoICcfv27ed6GKeVsrIy\ndu7cyYABA7BYLFRXV6PVarFaraxYsYItW7aQnZ1N37592bRpE/3790epVLJ48WIuuugijh07xoIF\nC7DZbLRp04ZDhw6hVqv5y1/+wvPPP4/BYOCJJ56gbdu2zJ8/n+PHj9OxY0cWLFgAwA033EB9fT3x\n8fG4XC4qKyuJi4tj/fr1aDQafv/73zNz5kzUajWvv/46q1atQqVScdddd7FixQoaGxsZN24cgiCw\nceNGXnzxRQBGjx5Namoql156KQkJCTidTp555hkKC6V027lz55Keno5SGRUpALj99tvZtnc3Qdu5\nl7XQRQQMEQGvIBIRwBwWCEhJguha1vteIsQg9et2KkTMEemxXRHBFFEgACFBRInUu9sUkdw8HkFq\nDSsAPkEkRpRedwoRlEAIMLe85m5pYyuIUqFe6zmcighehYgu8tNrdmUEdURA09IqViEKBAVRkg2J\nKAgj4j5pnCe/t1uIYDhpHFoElKJ0TgWgEgW8CulcZxu13c3FXbsze/bs/+k8giDsEEWx4L8d97N3\nHKIo7viHlzYJgvD9Lx5ZlF9MY2Mjd911F16vl5KSEpRKJRs3bmTChAkMGzYMjUbDli1b2LJlCyqV\niq1bt7Jq1SqmTp3K5ZdfjsPhYOLEiXTu3JlIJMLnn0ups1qtlk2bNtHc3ExzczObN2/m0UcfRavV\nMmPGDERRZNGiRYiiSENDAy6Xi549e/LGG28A0g7i6aefJisri6SkJLp3747BYKCpqYmJEydiMplY\nuXIlBoOB66+/nsmTJ1NYWMhVV10lX1tmZibDhg3D4/EwefJkamtraddOqumIi4sjMTExajRO4rfg\nKguFQtjtdrRaLX6/H6fTiYBAqsEsP87QW3C5pJV6nNmKIAgIgkBzczORSIQkkxWFQoHRaMTpdLa4\nWSFJb8LtdqNWq/H7/QiCQNuENtTVSbsTfYwen0+qLO+QmERNTQ2iKGKxWLBYLOhqauTfk12uooBO\nq8Pn86FEIEVvwuVySeOMT8Tv96NUKmlrsdDU1IQoirS12VAofkWxjPSze2/8EldV7ElPFUABF3qk\n8CzhcrnkGERVVRXbtknZSh999BHdu3fn5F1jY2Mjhw9LmU3z589n0yYprbe8vJzPPvsMl8vFTTfd\nRFxcHE6nkx49erBp0yZMJhN+v59QKEQoFGL//v0cPnwYlUqF0Whk/fr1AKjVamw2G01NTVx88cUM\nHjyY119/nRUrVtCvXz/i4+NZunQp8fHxjBo1ilmzZgHg8/nkXURRURFvvfUWPp+Prl27UlhYSG1t\nLbt27QIgPz+fN954g4yMDPR6/VmY4d8OZ8ON+r/i9XqZM2eO7EqdP38+cXFxXHPNNbz//vsYjUau\nuuoqJk+eTCAQkN2gAC+//DInTpxgxowZAEycOJH6+nqKiooYNGgQCxYswO12EwwGsVgsOJ1OkpOT\naWxsJBwOM2zYMK688kpWrFhBRkaGfP/17NmTKVOmcP/997N//35iYmIYOXIkCxYsIC4ujilTpvDB\nBx/QoUMH7rjjDl5//XWMRiO///3v+dOf/oTL5eLZZ58lNTX1nM3rr4lfUsexA8mDJwBBpI5/t5+B\nMUX5BzIyMnjiiSc4ePAgY8eO5bXXXmP79u3k5eVx6623IggC99xzD0eOHCEQCNCmTRucTicdO3aU\nDUdjY6O8wjt+/Djbt29HFEWam5u5//77ee211zhx4gRdu3ZFEAQsFou8M/F6vdhsNux2Oz179uSP\nf/wjH3/8MW+88Qbbt2+XDdnGjRvp0qULAPX19QQCPwUbtVot/fr1o7i4mK5du/L3v/+dkSNH8tRT\nT7Fr1y6ys7NJSkqioaGByy+/nG7dup3NKY5yGlmyZAmLFy8+5XkkEsFoNPLwww/Lr3/66aeIosjC\nhQsBUCgU2O12IicF0vfv3y/Hzvr378+dd97J3Llzueiii1iyRGphvHfvXp555hm++eYbOnbsyAsv\nvEBpaSlqtZoJEyZQVlbGFVdcwU033YTRaGT8+PH07duX3NxcBg4cSHx8PGvXrmXfvn0cO3aM9PR0\nOUanUChodXt//vnn3H333Wd28n4j/BLD8QTwtSiKzYIgTAEuAjz/5XeinCaGDh3K0KFDAWlV5vf7\nWbp0qXyDFxcXy6u2MWPGsGfPHpYtW8bNN9+MSqWib9++pKSkUFRUxNVXX83hw4dpbm4mMTGRFStW\n0NzczO7du7niiitYu3YtVVVVJLRkf+n1eubNm8fy5ctZtGgRRUVFHDx4EL/fz5o1a7jjjjtYuXIl\nV111FX369OHDDz+kW7duWK1WLrnkEi655BLmzZtHXV0dI0aMYMWKFUQiEUpKSuSdVGlpKV9++SXh\ncFjKyorymyUpSXJECIKAQqGQDcGBAwdYsGABsbGxPPXUU7z55puEw2GefPJJ0tPTOXDgANOmTUOn\n0/Hggw8SFxeHx+ORDYfZbKZjx444HA4WL16MXi+5pUaPHs1XX33Fzp072blzJ507S4KYVquVqqoq\nlEolW7Zsob6+nvr6esaNG0dubi4NDQ28/vrrRCIREhIkiX+3283Roz9VHVgsFsxmM16vl4svvvhs\nTuOvml9iOJ4VRfETQRD6AoOBV4H3gF5nZGRR/iNarZZrr72W4uJiFAoFgwcPZs2aNUQiEfx+P4cO\nSVXkNTU1bN++nfnz53PPPfdQWVnJ448/zvXXX08gEGD//v3k5eWhVqvJzc2VM69qa2uZOXMmDz30\nEHa7nUOHDrFu3TocDgfffvst48eP55NPPqGgoIANGzZgsVjo378/06dPp6amhssuu4xp06YB0qqt\n1QddUlJCRkYGx48fp127dlx77bWsXLmSIUOGoFQqo/GM84BBgwaRmJiIVqslOzsbhUKB0+nE5/NR\nXV1NdXU18+fPl1fyX3/9Nbfddhs7dkhhVJ/PR3l5OTNmzKB9+/ZMnjyZ7777Tk7oaL2XIpEIgiCw\nYsUKcnKkYk+dTkd2djYxMTHk5OTIyR3Dhw/HaDRisVjo2LEjhw8fZufOnbL7dPTo0fTu3Zvk5GTu\nvPNOLBYLSqWScePGMWbMGEKhEAbDuU9I+LXwSwxHuOX/a4CZoiguFwThj6d/SFF+LkajkWeffVZ+\nPmvWLDweDxkZGezYsYP6+npycnL47rvvAGlL3xr/2LdvHydOnCAYDFJXV8fw4cNZtmwZffv2Ra/X\nExsbS1lZmVxX8uWXX3L55ZdTUlJCjx496NevH2lpadTX1/PBBx8AsGjRItlgbdmyBbVaTTAYJCkp\niXvuuYfdu3fzu9/9jrS0NEpKSmSDdemll57NaYtyhgkEAqxbtw6v18s999zDxIkTAdi5cydr167F\nZrMxaNAg1q9fTyQSoaGhgZdeeokRI0bgdDoxm80cO3aMSCRCUVERP/74I7t372b37t1MmzaNfv36\nUV1dTX19PR6Ph2AwSEpKCldffTWNjY289957gLRbaA1gt2/fnpycHPr27ctDDz1EaWkpffr0kdO3\nBwwYQMeOkoBoeXk5dXV15OXloVKpWmqitOdmMn+l/BLDUSEIwixgEPCSIAha5DrhKL8GsrOz5ccf\nfvghoijKGVGlpaVMmjSJxMREdu3axYQJE/jmm2/YsGEDvXv35ssvvyQSifDDDz+Qn5/Pt99+y65d\nu9BoNASDQZRKJXPmzCEvL49HH32UCRMm4Pf7ufTSSzEajYiiyNVXX83Ro0epqalh+PDhdO7cmYqK\nC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kJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ " OLS Regression Results \n", "==============================================================================\n", "Dep. Variable: sub5 R-squared: 0.009\n", "Model: OLS Adj. R-squared: 0.005\n", "Method: Least Squares F-statistic: 2.318\n", "Date: Sun, 10 Dec 2017 Prob (F-statistic): 0.0414\n", "Time: 20:10:20 Log-Likelihood: 361.54\n", "No. Observations: 1305 AIC: -711.1\n", "Df Residuals: 1299 BIC: -680.0\n", "Df Model: 5 \n", "Covariance Type: nonrobust \n", "==============================================================================\n", " coef std err t P>|t| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "Intercept 0.0957 0.105 0.910 0.363 -0.111 0.302\n", "mean_gm -0.0488 0.126 -0.387 0.698 -0.296 0.198\n", "tiv -1.619e-08 4.16e-08 -0.389 0.697 -9.78e-08 6.54e-08\n", "age_scan -0.0004 0.001 -0.458 0.647 -0.002 0.001\n", "gender 0.0033 0.011 0.313 0.754 -0.017 0.024\n", "APOE4_bin -0.0341 0.010 -3.324 0.001 -0.054 -0.014\n", "==============================================================================\n", "Omnibus: 3.707 Durbin-Watson: 2.103\n", "Prob(Omnibus): 0.157 Jarque-Bera (JB): 3.141\n", "Skew: 0.015 Prob(JB): 0.208\n", "Kurtosis: 2.762 Cond. No. 5.65e+07\n", "==============================================================================\n", "\n", "Warnings:\n", "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n", "[2] The condition number is large, 5.65e+07. This might indicate that there are\n", "strong multicollinearity or other numerical problems.\n", "############################################################\n", "Pairwise post hoc t-tests between groups\n", "############################################################\n", "Multiple Comparison of Means - Tukey HSD,FWER=0.05\n", "=============================================\n", "group1 group2 meandiff lower upper reject\n", "---------------------------------------------\n", " 0.0 1.0 -0.0335 -0.0535 -0.0135 True \n", "---------------------------------------------\n", "Test Multiple Comparison ttest_ind \n", "FWER=0.05 method=bonf\n", "alphacSidak=0.05, alphacBonf=0.050\n", "===========================================\n", "group1 group2 stat pval pval_corr reject\n", "-------------------------------------------\n", " 0.0 1.0 3.2908 0.001 0.001 True \n", "-------------------------------------------\n", "############################################################\n", "GLM results for effect of subtype weight on amyloid (AV45)\n", "############################################################\n" ] }, { "data": { "image/png": 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IcAa3uVexwDwK7YV0EdOWbOpRTJ7ZvM2FdIGYoSTGoVQAd362QFRfmBVWjQH2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\nqpoT9SaD2YVsSSlWcAu+YsL8ar7ql9tzSENxcfs6OH+TTsR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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ " OLS Regression Results \n", "==============================================================================\n", "Dep. Variable: AV45 R-squared: 0.292\n", "Model: OLS Adj. R-squared: 0.280\n", "Method: Least Squares F-statistic: 25.31\n", "Date: Sun, 10 Dec 2017 Prob (F-statistic): 9.64e-33\n", "Time: 20:10:21 Log-Likelihood: 116.73\n", "No. Observations: 501 AIC: -215.5\n", "Df Residuals: 492 BIC: -177.5\n", "Df Model: 8 \n", "Covariance Type: nonrobust \n", "==============================================================================\n", " coef std err t P>|t| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "Intercept 0.8462 0.209 4.045 0.000 0.435 1.257\n", "sub5 -0.0077 0.052 -0.148 0.883 -0.110 0.095\n", "mean_gm -0.1735 0.247 -0.701 0.484 -0.660 0.313\n", "tiv 8.743e-08 7.35e-08 1.190 0.235 -5.7e-08 2.32e-07\n", "age_scan 0.0026 0.001 1.855 0.064 -0.000 0.005\n", "gender -0.0448 0.019 -2.414 0.016 -0.081 -0.008\n", "AD 0.2636 0.027 9.656 0.000 0.210 0.317\n", "sMCI 0.0494 0.021 2.394 0.017 0.009 0.090\n", "pMCI 0.2947 0.030 9.729 0.000 0.235 0.354\n", "==============================================================================\n", "Omnibus: 24.509 Durbin-Watson: 1.911\n", "Prob(Omnibus): 0.000 Jarque-Bera (JB): 27.383\n", "Skew: 0.511 Prob(JB): 1.13e-06\n", "Kurtosis: 3.518 Cond. No. 6.94e+07\n", "==============================================================================\n", "\n", "Warnings:\n", "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n", "[2] The condition number is large, 6.94e+07. This might indicate that there are\n", "strong multicollinearity or other numerical problems.\n", "############################################################\n", "F test on full and reduced model:\n", "############################################################\n", " df_resid ssr df_diff ss_diff F Pr(>F)\n", "0 493.0 18.407777 0.0 NaN NaN NaN\n", "1 492.0 18.406959 1.0 0.000818 0.021862 0.882515\n", "############################################################\n", "GLM results for effect of subtype weight on amyloid (CSF)\n", "############################################################\n" ] }, { "data": { "image/png": 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GkTsrIiLEahr93Xt0jMEeE8t2mC1WWjMFWzKeKbG9L8FKm0G2y01y79ExLMdhMmshEBia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\nB4wNp7iYyS8r7Lgd989qTCisRuR2IiLyRRE5LiI/CP7+Ucl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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ " OLS Regression Results \n", "==============================================================================\n", "Dep. Variable: ABETA R-squared: 0.251\n", "Model: OLS Adj. R-squared: 0.238\n", "Method: Least Squares F-statistic: 19.33\n", "Date: Sun, 10 Dec 2017 Prob (F-statistic): 3.77e-25\n", "Time: 20:10:22 Log-Likelihood: -2483.5\n", "No. Observations: 470 AIC: 4985.\n", "Df Residuals: 461 BIC: 5022.\n", "Df Model: 8 \n", "Covariance Type: nonrobust \n", "==============================================================================\n", " coef std err t P>|t| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "Intercept 232.3526 44.861 5.179 0.000 144.195 320.511\n", "sub5 40.4034 12.876 3.138 0.002 15.100 65.707\n", "mean_gm -47.4700 60.613 -0.783 0.434 -166.581 71.641\n", "tiv 1.716e-05 1.86e-05 0.922 0.357 -1.94e-05 5.37e-05\n", "age_scan -0.5467 0.340 -1.610 0.108 -1.214 0.121\n", "gender -7.8703 4.707 -1.672 0.095 -17.119 1.379\n", "AD -65.9437 6.879 -9.587 0.000 -79.461 -52.426\n", "sMCI -29.0103 5.756 -5.040 0.000 -40.322 -17.698\n", "pMCI -53.8014 6.896 -7.802 0.000 -67.353 -40.250\n", "==============================================================================\n", "Omnibus: 17.115 Durbin-Watson: 2.057\n", "Prob(Omnibus): 0.000 Jarque-Bera (JB): 18.012\n", "Skew: 0.472 Prob(JB): 0.000123\n", "Kurtosis: 3.173 Cond. No. 6.09e+07\n", "==============================================================================\n", "\n", "Warnings:\n", "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n", "[2] The condition number is large, 6.09e+07. This might indicate that there are\n", "strong multicollinearity or other numerical problems.\n", "############################################################\n", "F test on full and reduced model:\n", "############################################################\n", " df_resid ssr df_diff ss_diff F Pr(>F)\n", "0 462.0 1.092506e+06 0.0 NaN NaN NaN\n", "1 461.0 1.069660e+06 1.0 22845.986066 9.84612 0.001811\n", "############################################################\n", "GLM results for effect of subtype weight on tau (CSF)\n", "############################################################\n" ] }, { "data": { "image/png": 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zxfpOPv7OK4HqSOwogWPZ9xmZrqAUTAMvns03TVw4VvBQKGxLUQxVeBoYyldI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\nb/c6HnryFD1hzIMOZlRSCtgUdvAoUJo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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ " OLS Regression Results \n", "==============================================================================\n", "Dep. Variable: TAU R-squared: 0.186\n", "Model: OLS Adj. R-squared: 0.171\n", "Method: Least Squares F-statistic: 12.76\n", "Date: Sun, 10 Dec 2017 Prob (F-statistic): 1.40e-16\n", "Time: 20:10:23 Log-Likelihood: -2439.8\n", "No. Observations: 457 AIC: 4898.\n", "Df Residuals: 448 BIC: 4935.\n", "Df Model: 8 \n", "Covariance Type: nonrobust \n", "==============================================================================\n", " coef std err t P>|t| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "Intercept 31.6444 47.880 0.661 0.509 -62.453 125.742\n", "sub5 -15.2397 13.832 -1.102 0.271 -42.423 11.943\n", "mean_gm 39.9413 65.775 0.607 0.544 -89.324 169.207\n", "tiv 1.66e-06 1.99e-05 0.083 0.934 -3.74e-05 4.08e-05\n", "age_scan 0.3069 0.362 0.847 0.397 -0.405 1.019\n", "gender -14.0967 5.072 -2.779 0.006 -24.065 -4.129\n", "AD 60.5211 7.345 8.239 0.000 46.086 74.957\n", "sMCI 22.7597 6.185 3.680 0.000 10.605 34.914\n", "pMCI 43.5163 7.370 5.904 0.000 29.032 58.001\n", "==============================================================================\n", "Omnibus: 247.265 Durbin-Watson: 1.892\n", "Prob(Omnibus): 0.000 Jarque-Bera (JB): 2331.490\n", "Skew: 2.153 Prob(JB): 0.00\n", "Kurtosis: 13.193 Cond. No. 6.15e+07\n", "==============================================================================\n", "\n", "Warnings:\n", "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n", "[2] The condition number is large, 6.15e+07. This might indicate that there are\n", "strong multicollinearity or other numerical problems.\n", "############################################################\n", "F test on full and reduced model:\n", "############################################################\n", " df_resid ssr df_diff ss_diff F Pr(>F)\n", "0 449.0 1.163361e+06 0.0 NaN NaN NaN\n", "1 448.0 1.160218e+06 1.0 3143.837472 1.213944 0.271144\n", "############################################################\n", "GLM results for effect of subtype weight on MMSE\n", "############################################################\n" ] }, { "data": { "image/png": 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UGx45S2dfIdMxLnrP0UPMVZVe/9Pni5yeqUZhFTMILezuT/Ou2/ZF8hIq9CKj\n2Z2UqsBMShlRYedqLjXbazJq8RCN60tOTpUDZyqpux6e70cFRN0QtqUJ6ZnrScyuOl7EqgpXfR96\n5MWmFVq4GljNccPzt11FM12wl8+UdzqO40kqtmJDtTYFClc1bzwwGMk36FqQdwhuiqVr/Pe7b+Mj\ndx7m/mNj/OqDzwHwK7ddFTkPXQhsVzJetpFBiKrXkEqn/NuxsZloJbGnkObA4OIKVaAmCUII9g9k\n2DeQ5shoP7B8T49wm/hK2dLVSujQjizX78pRyJgMZAwMTWvqS+JJVbAGStBQyYi0b161nQX/tnSl\nIIS4CvgrYBQ16fiElPLPtnJMm4VWKlvIz44ja+qkdBF09nKbOM+rrYhs7RUMizOY1lVEse5G1aMj\n+XTX3rVCQLUNjafY8Hntvky0OrIMQcYQlO1FoxifLV9caJA2dSq2G1EjdaKJ/xKUbT+gtyqZhoYn\nyZjLB4R0TZA1NVxJUwhnPdFwfXShmEIf/uopwiXRahPbcfhShUkaPQy9m+MJ/zY2U6WQUlpWBz/8\n1aaZ6z1HD/HNMzNRbYQI5Cb2FVJct0sx3lrZdPc9ejrIIQVtVAVIT4XAMrGcz3IhlRfGF6jaPpUg\nFwDq2KemKtEMO1xZpk0d11c5BMWGklxcqDOaT0fvyx2HR/j0O17DBx46zonJCm7QxnQ4txiGU5O2\nxRXPtTv7mCg1MHRl4KuOh6Xr3Hv71Rwbmwm2yTJZtiMnYOiCoazJSD7VdkW/0X2h14KtDh+5wP8t\npfyOECIPPC2E+IqU8vgWj2vT0clYh3UB68V5bhe6Cp3Mrz74XJNjCo1afAnc7iW+/9gYAxlzSQw9\nxLGxWZ69+B1yls5gNs1of5rT04v7iL/stie5UKxH7BDo7BAWIWOGRy6hEbbD3kKK/rTBy8G5hKJw\n6wkJvDRbQ4sVdYklDP/Vo7FMTUavCJ3yfMMnpS+lSQPkUgZzoRJsEO5zPBk9m7bncankUHcWQ0tm\nUK3tST8Kv0hU3UKIbgSGh09MsFD3mhonhfvwJDQcLxpn2XbYV8io1cEggYCej5BiSW4tHpaKF5jF\naeGtk7ZOulwfbBlvfJs/fvurOr6nvdBztwpb6hSklJeAS8H/S0KIE8Be4IpzCt2MdacCmeXQKWbZ\nqbDm4NBYk2NKGVrEuw/RSc66i/ICAJWGR6XhkQ70ezKmFsXz04bA9YmKhBxPRkakF7g+jOaVU+rl\nW2lD43yxgVW2oxl3N92ktUCdRjO1cb3QQ1nGiqFpIgrThDNXUGGRHX0W5+ZUwx5PwlTF5slX5vnO\nK/MU2yxZHB+GsvoSSux0xSFSkh1bAAAgAElEQVRr6piG1nXVe/+xMXb2mVE+qRWTZZs9hQzgYtfU\nDD7MAxTSi02N2r07K52p9/IOruQ97bZi32ps9UohghDiAPBa4Ntt/vZe4L0A+/fv39RxbRa6GevV\nYLkCuXb7bXVMhbTBeMmmkDaiZXO7lzgsOuuGtKkczESpQSFtsrc/zctzNUxdBF2/FmeYy1Ult0IC\nZdvD0OipEK3u+oEMgsrZWJpACtlUjLWeWO8VyEZBEOgY1R0uFOvUHJ/vT1YUNXggHYkdhvAl/O7f\nn+y6z7mqEwgFqjXSjqxikV1YWFpp3zqJeWF8gX2FTFunIFh0iirMqq0ozLrVM/Vuk8BWbHZCelto\nHwkhcsDXgQ9LKR/stm2ifaSw3IOyWvns1iVwKLXQzVE9fGKCt3/qiY4a/32GYHchw7l5pSHz6qBn\n8VzVIWNqnI3JVnTCciwdXWzMzPlKgkA573Cltl6X09BEUFQomthAoeYVtO+DcHa2Rp+lMVPt3MAo\nTAJfG7Cfep1UrYe8/FqNdS8tS9ezP8Rl009BCGECXwb+Xkr5x8ttnziF3h6U1p6/wJqbe3R7CcLG\n8+2SzaCMdsbUMHSNwYwZvQT3HxvjsdMzyx5bD2QUtncjwwStUHIZgFDtQEMl0VBIMNR2mq855Cw9\natYEMFGqc3FBrRLarbbCJzvMX/zOT13PbVcN9GSoP/TIi9z36GkltWJoDGSMrj0tWp/9o4d2LCuC\nuB5Yz94ol4UgnlAW6y+BE704hAQKvcRD1ztmuVw46iN3Hgl60XpBf4Dmt9iTiin0S68b5a9/6Yei\nz0MK43JotwoIq1gPDmWpu17H2PNWQc2QxYrDYdsJIVNqtSGw4T6TibKDqavcjdqPIJfSue/R0xwY\nyjCUMTk/X6Nqe6QNVTRWrDnM11ylwwRthfZC5pqpKfrpH37lJDv6LAYyZtMz+q7b5puEBY8e2sHH\nv3UWKVVPb8f2sD2f3/7J6zo6hHbsqp19JoNZ5cQ2ij20FWGura5T+BHgl4E3CyGeDf799BaPaduj\nF5mMlVYlL4de9JpyKZ2LC40lDiGErqmG8nGZjfma01NFcbxCOj5DBFVNGhfW2w4QwK4+s6m6O/w8\nDkMT6KwOo7nuvSCWS/5De2mIVqw2mCAAI7gvYQ8EIWD/YJq6ozSjwucpY+p4vqq7ePZCkbGZKjXX\nQxeqwM7QNa7dmeXandmm/WsEDZc8paY7Xba5UKzz/HiJC8U6xbrNfY+ebqoH+MOvnmKqbCOEoiWn\ngx7WX/repbbn0e7Z93zZVNEMG2OsVyo50w6u5wc6WL1hS98kKeU3pZRCSvlqKeVrgn9/u5Vjuhyw\nEmExS9c4PlHm7GyNXGrltzs04N84M8v5+VpT457WojfbU/0PUjFrpIlFQ+j5MF9z+blPPcGpqTI6\nUG24y8auNUFULCWhSfPHl6qI69x8PZLj3g4QqPqO63b2sbeQQg80gsI2oqBYUIa2aDhXgrQhGMha\nTZz/OFK6WJcci7+G5LuuCcZLdqSJlDK0iOVVb2G15SxVme7JxeI8z4dCOlzpSs7P1zg7W2uaFHgt\nY3Sl2ndYMDdbdbGDznChQXe9UAlWTTG0QDL2+fFSWz2wdpOwVBvp8o1gD/U6uXM8n6rtUqw5TJUb\nXCzWeXm2yunpCmdmq0xX2tPF22HbsI8S9I6VMBfKDY8DQ5m2XOzlEF82ZwwN2/M5N1dn/yAgiXo1\nv/NzizUIKSNkgQS89DZGxfGVVIOuCXShYQh/SYvKOAwhcIL4RdjMJdT+h0UZaCFgMBPj028hfFQx\n33PjJUxNkLN0HF/iuX4wM11UgZVSFeA5K4jR1F3JyalKYNiaIUDNiju0GQ23kax8FdBpnGFPijCk\nE0pMqwpmgupe9fnFYh1D00gZqmlSw1V1DOFcIpT/MHR1rP0DGcZLDcq217H6PE5E8HyJaWhRwVy7\nuYKqdVAtY+OnE64m7v7iswznLBYaSoLG9fymfMdAxmC6oox0r0Wlq0lMh6zE//DYac7OVtk/mOVf\n/cgBfmjfABeKtajt7Xpmhrc80bxSJIlmhV6YC6tJUsUfXKURIyMpCNcPZ/4SX4qos9vLc6pAa3+g\nXX9uvqZmYz2eS2vhWCvTKGOIqJhtd95ipqpWK2HFc2s4qd0+tgJqVaDCRzuyBpMVJ+pVEAoFahqY\nmqaUX53lX+74ebWLs4efa1r7LmghcpZGxe5+vNZueaYWqqe23zZr6dQdn76Uzq//2DX8wVdOBqq2\nqqmRF3Mau/oMZqpuMDGAWjAr2NOfotRwqQeOwpeQT+mkDI2ZihOxzFrH0PoMhZIcjqeczWv2FqK/\nPXexSDtlEAEcCsJTZ2drWLrgxuEck+UG4yU76m0ROoCw6VEvbKdeyCGqa6Hqex39dH2cQIpjLcin\nDPYUMts/0fyDhM3mEvdSKLPSJFX8wdVZlK2wNIFEIKWPpmk0XCUlMZAxmSzbeD54SC4s1Dkykmc/\nahVRd5tnYZ2MWLvnPWzaIoRaWWQtHVNTzYNKDY+aq2QPQrGy1l20/m4Iuq5GNgJh4ZovYbzstHyu\n4Png+T6mBjfvznNyqhJVKrdrL9r0qwDRxkD6gN/FiOhCrTTe+bo9fPHZSx0NjhE4q7B2pJNDAGWo\n8ymD63YqWYcvfe9iUH8i0YTqyBY6hD5LY77m4knwPYnD4v0OVUXjoa9yw6MUFMeF97Cd049/5ktV\n3d6f0rG95hn9YNZiumI3OTxQK5Pw+LpYVDwNVwhl28Nskaz4IL0hzEtkTT0o2NTxfJcPf/UUN+/u\nx/bWbvi7YSWT/8QprAPW0kltI7FSBlI8oXayWI5m4K6UpHXFAdGEiqfu7k/xyrySC7Z0QSNIJM7X\nlNLpaF5Jd99/bIxvvzynGtp0asXWgjCsoWaUFuO//1Zg0fHOVW2qthdUIvfGp7cMDdcJBdo2r6ah\n13fR82G2alN3fSwNDF3FsGuu13YfgvahueUgUA62kDa4uKB6l2UMgeeD03ItG56PhjKWaUPgt/SP\naIUiGfjs6U9zfKIUrTTCNpmgxttw/ajIUNLssHu9L/HNwn7MWnBfTV1gCFUTYXsyor7G5Sd+5QvP\nULV9bM8PxP4EpiYWHTI05TyGcynMGJ07zLV1mgQ6nh/M8tVs/9R0hULKaJImMTXBy3PVJfnBlcKX\nkpmKzXipwUSp0fRzvNRgMvjZKxKnsA7YruJWK8k9QPPKouEqiWPHC5VMVZ7A9pQQ2kuztSgUEk91\njs2oKuXDw7loDHd/8VmmynbPBjKKdwMTZZs3f/xbS+Q+Rn7376jafhRn7jbJimZ9hA3fNbyN0rVo\nQa9G2wdmqo7S9vfBCPOaHXawWp9m6oKcqTNfc/mHQL5cNazR8fGWFCD6qGu7fzBDIW3y9Pli1/3P\nVhz29KewdA3H86N8Txytx2i3govP+pc713CukTE18imDsq30ksIiuQ++5YYlM/pXjfZHE6ZizVEh\nT18GrV1VaHIkl4q2j0+mHj4xwb/60nNYhqCQMjg/X+N9f/Mcf3CHzY9es6NtjH9vf5qpcoNMLGFd\nd332FjJdz83xfKbK9hIDr/7VmSg1mOzSg2M1SJzCOmAtXOKNDDutVDojvrIIE8aGrkIRoZrk7pzV\nFBaKzwJD+L5ktmpHzd4/9Yuv4Rf+6ume1Ejb8YfarbzCl/pCsR7FYDu9FxlTi+L1KsHob4ucQytq\njq9mzUDN8TC19RtjUD+GlKpNpRnM/tOmznTFWTJbDUN9AuVICmkz2k+nMQVitSw0PPpTOuPl9o63\n2zmFfQhWet6mBgMZk7ShUw6eM1/KSMq6FUcP7WgqXsundCq2YimN5FNMlBrBStSnaqse1//y9fs5\nP1/jQ185iRAqvKYciYbne/z5P57lDVcPtj3ee95wFR965BTgkQ6YSw3X52dfNcy3X55Ts/tyg4mF\nRaM/UWowXelNzytExlSr9NF8ipF8Kvp5YCjDu3usBEucwhoQGvTxBeXB9xTS0cvTCz1tM8JOKxHp\niq8shvsszs3XkcCBoQxmoC2TS+mkPZ/ZqtOxHsGTatZ79aDB/cfG+Nr7fphdOYtR4JVifcn34uGD\n1ji6ikEvXXmFL3WYwOzGyS+3xDw2aZGwKsRnzeGwNSBt6kFP6NUxTcKQXNhrwvYkuiYwg0R4u7yE\nIAi1BTekWF/a6zmEEOE/wfhCY9UKrnobNlU3hEn70JATVE2HK6DJss3DJyaaGge9ML7AQt0jl9Kp\n2S41x8PxBP/nj13Dr//4IWzX5ysnJ/nEP53jQrHG3kKG97zhKm7dP0DV8XhlvkYh1Ww604bGheJi\nz+xyw20y7uOlBgd3ZHnu4kIkA+76kt95uLt2VByFtHJYobEPDX7893zKaFIxCJFP9W7qE6ewSsQN\n+t7+FOfm65ydrXH1oIwM6HKFYtst7NS6sjg80gcISg3FWArltfUu4Zrwcaw7ftNqKVyF7B/IcGGh\n3iRvbRkaMjAimibwY07DDKx9fF8Pn5iI+hSPLyxNTBqaiEIJoUyCklsQ2JeBOl1Y8Dacs5iuONRd\n1WgpTq0MZ/6dTsdoYR+15lF0oVpxjpc7z0QlyklZUjU/OjvTeeUrpdr/jqyOqYmOq4ROCKnG7XJE\nnZLKlqEFMt6S+ZqL44MmVGI/a+mM5FXHv//wmJo8/Jv/+gKmLig3VDOmYk2yu5AibxlMVxr8x2+d\n5a+/c559gRP4q3e+ts15qrCSWkmIoGjOp+74aJrgp//fbzNeaqy4R8fOPouRnMVIPs1of4qRnMVo\nf5qR3KLRz1qrLXNcGRKnsEo0GXRLPdAXF+pcKC5Vf+yEtZawb0ToabmVxcEhlTg2NIEeS8yFiMeQ\n46uleJOdwwHNb7riUEjrHBnt5+ihHfzpN84sqTEIVTsNTUT7Cq99zZZt49G7+sxAUlklPzWh2B4A\nvvRWzUJajwS12UXJNTR0emAcpysOdtDTIkzYhghn/q1IGyIyrmHYDBaLreKMG10TyGVsl0A5hmcu\nLHRdoQhgKGtwYKiP4+Ol7jttg4GMQbnhRd3aDE1wYDADQjGSqmGTnWAQWkBnCtV1w9aYfrBq3JG1\nyBg6vpScnq7w7x49HZAiVK5DE4pSPVO2IQczFdUOdzRn8cp8jXsf+j4/df1OcilzSSzf7rLUXKg3\nP7+6EGqVHJvV726Z4Q/nVQ5muyBxCqtEq0EvZEz60wZzNadnoaq16BNtFePpnqOHePunnoj4560I\njU7YMS7e8Sq+CrluV45P/EKzE/vS9y7ScKtKrz8oZtI1wcVic/es4+MlKrYbhYVaZ80TZZuspfPK\nXC0aU831MIVYEy3Vk2trxiNQYaCrcynqrkfZ9hjMmFxaaBASNsNrqgmViLR0gRDQcBeL9Todvs/S\nuWog3fQ8PXO+GBXSwaJjC+myy+VWJCp8lbUWY/XtsCtnsi9wxCvVejowmGa8ZONJSZ+lkQ4S4XXX\nYzinZvsNx+dPf/5VuL7k3/7di7w4WUZoMkrMx+FJuFSq02f1UXM89hYyvDKvqpIrtqfqJmK9O2rz\n9eienppZDAF94dn2shchhFD3KWvqHB7JccuewuLMvj/FSC7Fzj4r6h2+GdCCzn66UJM2VQcimhLc\nyyFxCqvEegjOrZQdFEcvoaeNWkkcGclxerqKG8xGG7Ekbvj83zCci5rAx7/b7fgLDY/d/Skmy3Y0\nM/Sk4uJ/7K6bALjlgWNMlO2lfZtjls2X8NJMrSkBLiXYLVPr1SSbwwKu1awYRvMWe4Je1+MLjWh8\nu/tTOJ7PZNkBZKQkKlFGyzI0MqZixdRjlMn4EAQqNxPvKTBZXjxGuH08/+L6ElOjK800RLfZsS5g\nNJ+KmtysBLqA/rRJ2tQjDr+UYGl1FhouAtg7kOHuH7+KG0fyAPyXd9/G18em+ctvv8K3z80DipYa\nhrBAOdGXZqs4nmSq4lBqdK5yb7fiCgsPX79/YMksfzSfZjhvMdiiQrze0IQIJl80Gfjm/9P0+XqM\nZ9k7KIT4KF3eHSnlr615FJch1mLQQ6ylsc5yoaeVrCTaOQ+go0MJFVHDYpzWUFDrOfTqnPpTBscn\nyko/KRApc33J9bv6ANU+MUzmLWeTl5vRr1RWIsRVAxlema/hrcIrTFUcGp5kNqjI1gRUbY+Fmksh\nYzCcM5mvOUETIA1Lk0FP58XVQydIVH/qeJVtPBQXH60nw1aZSjuoU1FhCF9C1tBwPa/tdgMZAxDY\nrg+4Ud1KL8iaGheLdUbyqaZQ5EDGRAh48N23RWGb//zdi4wvKJbOeKnBXEyQrt3iJFwdOV0cgqmp\nlVjaUJLuhq5hagLb89mVS/Hpd7ymp/NYDooK3c6oLzXwYdHgRjqcbujFrYeaEj8CHAG+GPz+C8DT\nGzGoywHr1Sltta02l1up9JrEbuc87v7is0gJg1mzY9e2+LkPZS2GsiYLbVoyrizMJZuKssICNpBR\nH+CGt3zII4yDd8NqHAIoZxx+c6UrDddfdAhqZq8MACh64lUDaSbKdrA6UqqfAonteVE9SFhrIWmW\n9xDAzj6TY2MzUfjS+s0vdxxLuO+BtK7uW5cT0QTkTD2qKo5DALNVl9lqiZt355HSp5DWmawsrz+V\nMwT9aZOpis183cEPKE/xld9tf/rNZffTdt+Wzs/fNMpIv4rbf+rb55gsN6jZHk5AI82ldA4M9UV0\nUT0Qc6y7qsPce95wVcf9RwZdCAxdBLP6zjN6bRuJNS6HZZ2ClPKzAEKIXwF+QkrpBL//BfDIho5u\nm2O1Bn09sNxKpdckdjvncS6Ixe8LtIzaOZTw3LsZfVBieeWGS8ZUbBBF2W3PsFpoeOwfSDNZsaPe\n0MN9KUoNj4WGasQSyiF0gqmppGorDXW9EBd9C+O0npQ9UTBDYx4yoUJ1VF0ottZkUOBnaSKijoan\nGtaDpHQQQououCEMDVK61nR/uxU0mYHBWmh4mLqGJiVObIeCQJAu+KwUVZA37yfuIMsNl2LdZUfW\n6skplF1JeaGl0rYLm2okl2I4b0U8/NF8imcuFPnKi1OE7srUVDjqvjtv5McP7Yy+/6ffOMNILrWk\n6dSFYo2jh3bywqtLfPqJV6jYHn0pnf/9n13NXTfv4WunpvjoP57l5Tm1yv2NHz/Ez7xqdNlzWw6b\nLYuzEqwkALgHyAOzwe+54LMEW4DlViq95jzaOQ9Vido8s+nEivrAQycYL6nag1BfRUr42b98IqDm\n+qQMZVxChVXpSx4/O8fBD3+16YU4OJTl1FS5af8Nz+e6Xao6+vx8LVjaL7UcpiYwdRXvH8iYlO2N\nabgTHjmU2AgLtnphJsUNvC0lrvQwhCLVa5pgrurgB6qirQgdiu3BO183yn99foKK7SnjrYEmNM7N\n1wMasYKhiSZDH4frS8xAXjslVKtMF4muqVCMRJEF8ikd15eU6t1pShI4N1/H9WUkWLgStKPQ7ulP\n40vJcD7F5//F65qIDV8fm+aPjo1xerratGRzfXjTwUHeesNw04z94FCWiVKDPktXKywBVdvl2p19\nnJ6u8D9emKQ/beBLSdX2+Og3z3Jxoc7jZ+exDFXP8eS5ef75Z57iyMjSfNlKsF1lcUKsxCl8BHhG\nCPFY8PuPA7+37iNK0DO6rVR6zXm0cx5mG3rcZFlJF8cNOcDz46X2sXsJBOX+YbIUlCa+5ysufusL\ncfTQDv7hzGwku9xwfcZLNv/bP9vBbVcN8PjZOXypWEmt4SHHV120UrrA0nWyBnRp7btqaEKtEAYz\nBsW6G61opKPYKK7fe1gpdA4akLH0rtz2cHWiCUWzPbQjG+VfwvyJ50nGZmqM/O7fRQyubvsL6ao1\nR2kcmbqqXQjDIBLV/6LX81mt1MK+gkUhbXFyqqyOK1WRXX/QS2Gq3KDPNKJwzGOnp/jwV04zWa43\nhQotDRCCv39xmhfGS03vxv9z+3W8/8Hnqbte9D44HvzmT1wbhSYny05EW3V9yX965iJ7+lNoQueV\nYh2BChGdnq6syYhvt/qkVvRMjpVSfhp4A/Bfgn9vDENLCbYfwiY7u/vTzNUcdven2/aPbdfEoz9t\nkE8Z0WcTpTrjJZucpTOUMTk1VeauzzzFz37qia7J3DBU4kq1SrE9P5LA3lNIL+ngdmxshtG8pZqx\nSBUGGs1bHBub4Y7DI9x7+7VA93xBw5OUGw5C25hCn119Fr/5E4ewdJ29hTQ3jebZW0jjSjXbDc+7\nG+LNgDTg6qHu+jchLF0jE6zYFhouVw+mo9URSESQuJ6rOlQa7rLUWRn76aFWIW7A4FHKoqquYbW1\nGYZQdRNhLsTUlOEOz97SVKI5YxqYuqacq1QrzZShRVXc1+3KcdVghj2FNCP5FJ/4p3NkLC1qyhPm\nWVxJVOMR7wgI3d+HsEd0yDgCtcLwpXKKE+WGcgiBU3J9uaTrYIh4V8HWZj0heumcuJXohX10o5Ty\n+0KI1wUfvRL83COE2COl/M7GDS/BWtBLzqNdGOqP3/4qYPGzsu0xmlfVlsWaw2TQvGU5uYhWuYrw\n9119Klz1wvgCjcDCj81UGcwY7CtkIqniYs1hvNTg62Mz5O79W2p2e/ZLHBowWVl5+KIbwplyn6Xz\n6Xe8hjsOj0QN4o+PlyjbXkAX7Ww947NtTy7WHBzckQm6xy1fAdvwfGwP9KrN3kIG2/O5ejCD40le\nnls0KF6oUbFKhPkEjSA/01j+ureDJ0GXkDGV9Hrd8fFR92hHn0l/yuRdt+3js0+ep+56jORTvDRT\nQwK+CycmSuRTRvQ8hghDnilDi5LwoTPxA4fSzsB2eh8ODmU5P19rKiALi+AarhL1C+U3wv23M+K9\nhoXWu3/6eqOX8NH/BbwX+KM2f5PAm9cyACHE24A/A3Tgk1LKj6xlfz+I2OikVKeXJcpPfPirUd5h\ncdZER+0jaKaEhktyXyrGy2xVOZb4152AqmnpWuR8zs3X8ILuZJ1CK3FjK2AJL3+tSBuqkjpsiAJE\nksn9gZ6MlHLZfg3xP8Ulr8eCYqk4q6gTQjtfd31OTlWizm1tj7XMyYcFf7qAHX0WhhA0PJ+/edet\njORT3P4XjzOYMdGEYGymQqWHxH1rXkDlQCSOBwjJYNag4aqkfLnh8a/fdJAPvuWGmINdwAgkPlSi\nXdCOlRka1ZFcinKjGl0Ddf1UTmml9UKPn53DDQomFZlAMpAxqNi+qhsJit18qXSW2hnxXsNC60Fn\n30gsGz6SUr43+PkTbf6t1SHowJ8Dd6Dorv+LEOLIWvb5g4Zw9hFvPP7+B59vuyzdKMR7QjdcPzL4\nXXnzsWW9QOUQ9g+m2VdI0/DaF3+5PkyWbSZKdV6aDSubF/fR9jgd/r9WirdAcddtTwatIB0+8NAJ\n3v2FZzk1VWa6bPPcpRKTZTuQGe9dpqBTCmY5JxZu03CVam2rQ4hf725QoZzFXtqj+TTZlM6R0Tw/\nes0ObhjOc/2uXJCM1tidT7fdZ3gsLdhfWE3bOuZQfnum6uJJydVDGQ4MZTg2NgOoycfX3vfDHBnt\n55odWW7a3c+r9xQ4PJJnIGMuCdOEIU9DF4zkzGhsKUNjOGdh6fqK64Xuvf1aNCGiBPxwTuU57r39\nWq7dmcWTilRw1YCqsG5nxHsNC/Ua2t0q9JxoFkL8AvB3UsqSEOJ3gNcBfyClfGYNx389cFpKeSY4\nxheAnwOOr2GfP1BoN/soN+q883PfYSBjbgqdLT6zsXQtkqnuZHzCWWh/2iBn6U29bSu2u0T/J9xe\nxa+V5k8YKw4NYfxYoVPqNrOWTbPHlUETatabS+nMVn0qDQ/X0Pj+RClyZnqgnQMqTOJskvRqeK1A\nneOv/ehB3nbjLs5MV/nI107h+pLpit1RXwkCZx6wpZQmkofrwW/9xLUR6yx+z/vTBkNZg9mqG90L\nNaNXjl5KleC2dEWLdbzOPbdrjurzfdVAaomxbMuEc/22TLUw5NlwfW7enQYkpYa36nqh+Iqllc33\nwbfc0NT+NhSHbD3GSsJCW0lnXw4rYR/9WynlfxZCvAl4K/AA8Beo5PNqsZfFHAXA+TXu7wcOrS9K\nse4wUVIx/WuCh3Cj6WzhS/iBh47TcL2ugm67+1P0p43oxXn/g88vaW5+eCTHc5fKUSI6jAWDiofv\nzpsU6y62qxQow9qAEKFDMLUg0SiWVrTKlp/LoTUMReCc1PEkTkv4qnVGvJGtPofSGjVXRrmCeG/q\nx05P86c/r8JaB3dkozDMVNAPOjofFs8vY+pB43mHPsvoaORyKZ2TUxUArt+V5dd+dA9/8o0zlBsu\naUMjZ+lMlBrUHT9aNXhSkrHaF7qF0ARcWmgs6T3QalRVCLHelqm2EUa12z57Od52Dwv1ipU4hfAu\n3wl8XEr534QQv7fG47ebbC55vYQQ70XlNdi/f/8aD7kx2Ki4f8jdD+mPXmARs6YesXc2i842WVat\nNh2/c/OUmYpN2tCXzOjisy+An/vUEzh+eymKybLNjozJjOsELJClGwkBpqEznDFUDqLucKHYLMm9\nErTG/JdL+662Ino1sEyD+boNQlFGQwgBxyfKUb+AuOG65YHHeGG83LbJfdX2MHTBvbdfywffcgPQ\n3F6yP2UwUWowmDXZW0hxaaHB85fKjM2MYQjVXMbSRVM9Qtix7OrBDIWMyXfOFzs6ZDeICR49tKOp\npeXRQzv47JPnCY3qxYX6EqZaL8/6VhWGrZfKwVZD9NrQWQjxZeAC8JPADwE14Akp5S2rPrgQbwR+\nT0r51uD3ewGklPd1+s6tt94qn3rqqU5/3hLEWQfxGcJ6xAk/9MiL/MFXTkXc/VowJd0diKuBSnTO\nxfrHbgRueeBYxItvdGn0IoDfe+v1kbHphA898iJ/+JWT0aoj5OBbhhZ1wxrJpThfrC1h9Zga3Hv7\ndXz2qVcYSCtRMpVclczXHV6eq0eN4jfDdIerDEODjKFRWsdqaksXXLMjy9nZWkf10YGMwa//2DUc\nG5uJDOEL4wvkLdVPIicjWIAAACAASURBVPxeeC20cNDATaN5bt6d50vfG8f1fdKGhuOpfMXOPpOZ\nqouUfiCLsdjUxo2tQtKm0g2aLNtYuuDG4RwvjJe66h9pqHu9s89kOJeK3pm4dtOlhQZ7CykGMlb0\nveWe9Y18F7cK6+XkhBBPSylvXW67lYh4/8/A3wNvk1LOA0PAPSseWTOeBK4TQhwUQljAO4D/vsZ9\nbjricf9W7v1a0crd1wPnEJcx3gw628mpCnrA425N4oaGQqDaAYYJxG744Ftu4L/d/XrShoYhoM/S\nuHoow+7+FL4vqdkeGVNTQmICrh5UNQGvGs0xlDX5k2+c4dJCg+9Plpgo15mv2kxXbBbqvRdbrRUa\nsKffwtIFe/strh7IQNDJDNT1sPTm5Oue/hQZcwVJaSk5P1/vKkddrLn87t+f5OunZzg3W+MbYzNM\nlx3m6w5HRvO8bl+BdOyYksX+DMcnSnzuOxepuz6er0TklDFXXcs0sVinIFH/bw2VuUHvh119Jr6E\nuZrDDcN9dINlaPhSMll2WGi49FkGtufxJ984w0vBLPv6XX1LEvjLPesb+S5uBbaCaNJz+EhKWRVC\nTAJvAk6hWsmeWsvBpZSuEOL9KGejA5+SUr6wln1uBdbaLGe5fQ/nUk3c/XPzNWqOh5RyS+KWpqbR\niCVWw0iKoQl251O8NFPBdn08qapqPV+2/f+Nw3lu2dO/pKH5jj6Tiu0xU7VxfMlg1sRxJRN2narj\nR7LaofG/tGCv+lxCe61os4p94viqsKrThD9i+Ai4YTjP8fESaWOx6jWEBHZkTcq2R7mhxjxbtZes\nfDopuhoiEK5bJokdfjUsT5ABM2y26pIx6wznUlFYLX6+UjbnYuINksIVXCr2WSd4QcP7Yt3ljQcG\nmwT5XK99JzVVma5WeBOlBkgVNvSljHJlc1UnmoD0GqPfyHdxK7AV1c8rYR/9LnArcAPwacAE/hql\nnrpqSCn/Fvjbtexjq7GRxSit+y5kTIaDBi1zNWfD45Z+YMSv3Znh+xMVpPQDQbfmGWPKEIzmUkhg\nJJ/m7Fznl9CXqiZhotTgh64q8PmnLwBOQLf0cQNNoYuBsZ/uUIzWzlaZeme9n6btAgaUjH4X+HKx\n+YqmaZjItrmDMMEtUQ1/Gp7PfNGJql6Fv2hIx0s2lq5FM+52BW7xQ8RlrMNNfakcltPGwLYiNOwh\nZbhse5hhtS6L4+5k6OOOIeTndztmuC8pJbbfbLAPD+eapDhCKeu0oWEETZh0Td3ziXIDLyjgeH68\nRMrQKKQNhrImO/pSPcfot3th2EqxFU5uJYnmfw68FvgOgJTyohAivyGjusywkayDdvu2dJ3P/9It\nK3YEDx0fj2KTBwaz/NqbDvLm63YGs3eaZvJ+MJv/6Ddf4jNPvhLNdHUpkZqiJKaFIG3p9KcM0kG7\nx4brc9fNozx7odjUuHwi1s5wstRYcaLWCATvQqZLf9ogl9JxPMlMxcaXcONwH2dmq/RSzxzGyEMG\nlKaJiNWka0FFa2DM4rFxU1PGOhz+VNlmqM+k4UkMTaKjRQVQ4f5Duq2uqURxtzNvtyaQgYx2L1cs\nflyl0WTy53fdzC/81dPL9g1uvSX7B9Kcm6sve0yBSrzrgihMc8fhET5y52Hu/uKzLNRd1QITdS32\nFtSq99x8DddXDq9qe6rPgy4iIb+Jko3jSb77Gz/Rw5kr/KAwgEJshZNbSaL5CSnl64UQ35FSvk4I\n0Qc8LqV89YaNrg22Y6IZaOIxd5rRrDZh1G7fb71hOArDuG1CNH5o5AMD/7VT0/z+IyexdBEZcNuT\nfPAt1zVJDIcdrc4XawjgQrERqHAqbRwJZHTYM5Dllj39zNccnrmwQNlW6nPtwgXdkDa0qE9t2Lt2\noeHw9CsLzNdt+lMGNdtlouw0FbyZWljXoH7XUJIRr8zXIyfXS25BA1LmYnK7z9SYrjqM5lPM1xxq\nzlJKbIhO+8+YGgNpg/GSjQTyKZ2a40fhKduTS2o1Ws8nn9Jxg4RvY5U1EPsKKYayVtD72OPSQqNn\nHSMN+PK/fD0feOgEL06WuyaNw1zT/oE0pqE1JYxfGF/A9iQpXWMkrxrem7pgvuaqECiQt3Qqjo9E\nktIXw4iu75O1dOb+8I4VnXcv7+LlgvVMnPeaaF6JU/gN4Drgp4D7gLuBz0spP7qika0R29UpLIdu\nN/dtNw63GHWWjcevNJH6v37+mSWx+5rjsSuX4q/e+VrKDZcvHx/no/9wNorjTq1RQ6g/ZTT1q627\nHi+Ml1ioO+zpz3D3G/Zxx40jTTLd3xib4UOPnMQ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JxJSs2i6jUZPXbU+ylLM5dVkFN7UR\n0AYMoCQljuOqcwnlrhmNmbjA9lGLiyvVfnmB2iXZwsUSkLcl20ZNPvnOPb4AjWEYTERgsVC7V8r1\n5GAF0kUBojpnFEUgmCk4jMZMklHTn/DPLuQpeTKo2s0lvL/vnlSV0duTMWzHJVt0/XiLGvMqDjE1\nEi0bmyXH9eMaQVGdQRLV9ZOBdCO5qVpZFh8D3gQghHhSSvnOwGd/oT+TUj7e9dbVwJbRCB9+574y\nX/7W0WjVCrsfqOXq0cVcT5y41JVB0Gjg1pucT1xa5WA6STqp/M+Oq4rPVgoqo2Y6FV1XJeg/zC6z\nWnQpOm5VxeoDx05h6px6uRYMth3JaNTw/fU6TrBqO1w/NeIXqplibQUeMQUxy/CD03lb7TYsU3Dj\n1lF+eDFLzna9AKT3TIQgZuIT4o1GVfteubJaN9xQ8nYl2vetV48nLmX9am9tw12pJna9sxlPRJQr\ny9tSBA3Yqu36yQnawAF89O3X+2Lw9371eU4vrAW9DfBI5TwqEmA0avq7MJ1qesfDT/PdMwtETFGT\nhDBi6upm1fDpVNQPeJuiWopTa2mPxSzG4ibzK2tuOR1zkNL1tQ/OL+dxJUynIuRtB9MrinRcyWym\niGVAPGL5Y1PvEDSV9zAQ1fWLgXSjVWC3YhSCS9qpBp/1BdOpOB+4/dq+XU/5qo21VX9g4q9niLo5\nCBoN3HoGQ39nPBFhNzCXLZC3JYYhmE5F/Re05EhmM3nu+fKz7N82CkiWC05DI3Z0Zo7lvOPTeWQL\nDpnCKlEDXp9WgjM6YKzTBd2AD1/tGrxdhFe1ezFbKDNgjlR/LzoSpMNirujd9/LV8r6to5y5supN\nvo7v2omagvfcuqOsCK6RS0kCB9NJv786wLk9GSVTUC4eS+AFnmFqNEK24LBSVEHQqCkoojh99Go7\nbzusFAtl11ABWItjpy5zuzdG4hGLqFlUEpdeI4MpuxFDkKwRGP/44Rv42T/8Xt0aCkUPomIiB9Mp\ntoxG6yYVVGoLl1yJAZ5amzJ4BUdJctoFh6yXDrp3S4ILywWVAeQZRp3COpuxOZiOlbVpezJGpMey\nsUE0W533i2Z7EEI560ErRkHW+X+t3zckgnQNQd9+xBBYHexAujkIGg3c4KpWY9V22L9t1FvhlhiL\nW35mhiJmUy+qVnDTk9HxuSwClcnRyIg9cOwUW0cjzGbKKTaKLszMZTCEFpqRVYFZzYkTs4Q3SQsm\nE6bnK7e4djzOuaU8JVf5+CcTFssFhzMLeQ6mk/z+3QfKVsuAt9p+gTMe73/c0/399ulFn77526cX\n/ABzLd99xDC4/64DQPUEuXcqwbnFHC6qalqzev7zf7w3YJxGuJgtYhnCT8PUuw8/vuB5bSYSkapd\nnt4ladeLdnspGVKVallr7FgNBIU0LbUBvPvQDm6/dsKfIIOaBxpB0rW9n32CkuNScnVGVfU1DEMg\nUPUbWgPhoFe9LaWS51y1na6twtt1v1QuzF66lOWeLz/LWNzkDdNj/vGtFNKtFxtNDa4Vo7BdCPEb\nqDGt/4/3+7aetazLaIenZ73o5iBoNnBrGYzfv1tNcJXHBI3IXLaAQOstS29Cg4srRc9dU9uIaXnQ\ny6t2FYW3EMITm6FuNbFOPY1Zil9/LGbx2lKOHWNxjs8u+zrUUcsgGYuwa2KElWKJLaPRKhoEP4iZ\nVwVnlUHMY6cu89RH3uZnvlxYzlelZ0YMg0++c1/dCTJ4rcr7f3ugDduTUUD4aZhRU7CcL+G4a/EO\nV0ouLBd4y57JsjGSjJjMFtbaZaIm/N0TCcYTEaSUVWPngWOn2J6McjFr+xN3MPNKG6TJEYuHnz7N\nf5AwORJpunM9OjNXpiMRfJYC1ZeoqdyDrwQyoPTuDqoXJutdhXey8w4a3aW8zcWsDUhWi27V8b1e\nrW80NbhWjMJ/BlI1/g/wh51eWAjxAPBzQBE4BXxQSrnY6fmgvxN/I3R7ENQbuM0MRq1jtBEplFzP\nz62Cu4ZYI1WD+kZM981xVbzAZ+wUymUhUK6Heln4EqVbvNMjAlwpljjordx+7bEfcHnVVqt6L0C9\nG/x4hUblJHFuMaeUuxxZVtewsFosa/PO8YRvEPO2y2jM5KNvv55jpy7zpQaB91pGYu+//gan/d2J\noDQaJWqafpXu3s8+wY5UjFeX8l5Mp1yyUhvokiO5nLOV2pg3w5YkRAKr8zMLqyzlHayP/yUpr806\nIO4H5YWXPVXy+KQiKpYynogwM5cB4JoJdc9r7VyPzsxx35EZL0lAuf2MQLYVwI6xGJlCiXxpLVai\ntaxLrvTdfI0WJp1MwJ3svINGdy5T8DiZlMuy3+6bjaYG19QoSCl/q0fX/gbwSSllSQjxO8AnaSGD\nSaBcBIOe+Buh00HQSYZCOyudciOSwxCwczzupyFKr7gL6hsx3TfLUO4YfcctIfzisJIrSUQU9bae\nUIJ58rOZIiNR059AgsVNiYiS2DS9XPm5bAHLFH5bdP3FSsHxJ76Ed49ns0oPWccrSnnJ0Zk5v83Z\nQp7FnE2+5GIZBncd2M6jz5xrawV6dGaOD33lOea8TBoBFEoquDqdivoTzd6pEV66pLKw8p6hjRjV\nsYvZTF4Fc70bZHmUGiVXxV+imbxyuxkqc2i16PCZx08gpdpNRE2lLe3KtRTUg+lyfQPbcauy3WzH\n5dunF9j72ScYi5lczBZZzpe8Ij6BYXgpuN6eQ8eiRjyhHtCcTAamUMH+15YK7N82StSUZcym6514\nO9l5BxdmwdoLPb776b7pl5uqW2jqMBdC/KoQ4kbv/0II8YgQYkkI8YIQouO6BCnl41JKXWjwHeCa\nRt/XiFkGuydH2DEWZ8tolLF4hHjEHBqDAHoQ3MSOsTgLOZsdY/GmBTF69XthOV82QR2dmWt6vaMz\nc9zx8NPs/ewT3PHw0w2PufNAmqc+8jYe+8BtTKfiPh1HyWOU3T4abUh7ofu2LyAMpIu/JJKto4oq\net/WkdriL95jem2pUHZfXrmyyohXZKf5jAwhyduu3xZ9j7KFEgJFPnjy8ip52/HTLm3XJeetZEej\nhj9Jv//2a5hfsSmUJHHLZOtohK++MEvRUX5vIdRKNGoJ3+deCw8cO8VyvuS7Z9aykiSLOdufaA7f\nsIXZTBFHSuKW4p1yEbz70E7f+K8U11bdruebj3qJDPqcK14cRkrIlzzpVa8uouhI5eZxVbh5fsVm\n/7YRVu3yfVrENMoytJbyNmcW8hhCaRucnF/lYqZIzlYSrbbrgpRETINDO8bYMmIRNU0/O0lntQpU\ngdveqRHeMJ1iPG560p+y7THcCHunqvukFy31xv7HD9/gx9G0DKpEkvZiav123+j37uVPvYunPvK2\noTUI0IJRAP434LT3/18EbkHxHP0G8O+71I4PAUe7dK6hQLuDILhFbnWCgs6NSdBwuVKtYA+kR3Gh\nqRG780Ca5z92mN/6H/Z7Ky816W1PKhfK/Xcd4PmP/SSHdihPo548o6aBaRiMRk12jMXK7ot+8cfj\nEXZPxhXTqKvounVb9D2KmIZfuKXqH9bapusSLFPxCx2fVSU2x05d5rqpBId2jvG67UnSqTiOqyby\nIJqtIF+5suq72CRraaZq0nb9iebYqctMp6LELANHamqUKF994bz/vHaNx4lbRlmNheqTIBkzObRj\nDOn1T9c5BGO+Ee/tLXrU1ONxk/vvOuhPhlKqf8fiFqmY5f/t/JLanewci6s4UMlVKaf6RyoX1mrR\n8bQOxsoWOam4LgiZbwAAIABJREFUxa7xGLfuGmf/tiTjiQirtkPBkR2N4WYITvC6T0E+pVpjPzi+\nR6MWhlDjcyxu9YXrayOjlZhCSUqp35yfBf5ISnkZeEII8buNDhRCPAFM1/joU1LKr3nf+RRQAv64\nwXk+DHwYYPfu3S00ebDoxA3UaXB6PZlO6w2y3X7tBPu3jXLi0golVzI1EuH+uw7657z/rgPc8+Vn\ncaXE9NxLEslEIlK1Sqvn4vno26/3zxe8R0F3VHCi1GEO7fO+mLXXeICAE0tZX+THEPiuHY1mK8ix\nmFUVRNe/WobhTzQ6IB8MfkupsryCZH87x+OcvpJDoni6tB61IQwuZgtrVcii/FoAtqv+bqFcOQen\nx2q6Kn7/7jcAa3+zXYkhVBuh3KgG99uqTdIfv5U0JjolV7tHY6bhp0RrdMNNU8/90mzsV7Z5o7hv\nBo1WjIIrhNgBLADvBD4b+CxR+xAFT76zLoQQ70cZmnfKBnwbUso/AP4A4LbbbhvqNNhOaxQ6DU4P\nKt0t2E+tLJatqK6980CaT75znyfUrjKOdEpn5SpNuXiUqLvjKhfPRMLi0WfOcfu1E76fXge5dQZM\n5aiplTP9vv/y/zGRsDi7VFQps16ldcmbHIOT28KqrejF6waeZU2taAFlWUz1nqcjJecWcxSdtQys\nPZNxXrmSo+TtcqKGqv6ezRSJeIHcenUWUqoVlWu7/j1tlJhwdGaOe778LLbj1swQ07oWuvYguGMM\nLnbGYibBbKtGKdLtumnqLaoq+xTUn9aoN/b7rXO8kdGK++jTwLMoF9LXpZT/ACCEeAfwcqcXFkL8\nDCqwfLeUcjgTdjtAp26gelvkZlvcRv7WemgnBlEPwX4uF0q8tpTn7OIq7/vj75ed79M//Toe+8Bt\n/OPrpxiNGmSLqujrgWOnqq5by8UTvHf6Hmn/uB68kSbxpOWCwyWPTkKI4I/gmomE7xaJmipFt+i4\ndV1xs5mC708PQgi1c9Ko9Ty1q6roiQrZjuTsQp5CyWUsbnHNuBJLQgjf3TQSs9gyYvksrnUh1CTZ\n7HnqOhNtZIK3TtesjEZVzGU0avrn/MzjPypz1RQdFdP5wj03+27ATsdwEO24Q/dOjXAxW+DEpSwv\nXljmxKUsF7OFoU313ChoahSklH8J7AEOSCl/NfDRs8B71nHth1Dprd8QQjwnhPiP6zhXz9HqRKoD\npkHo1Uujc3QSnIb2jMnRmTluefAYdz/yDN89s4AJHQcDdT+X8jZnF/I+0dtKweGDf/octzx4zO+n\nbudoNMJ0Ksau8bUCuc88/iP/nnz79AJ2hTuncuWXjBnYrsrJd6TyqzdLMtAMpXsm4wgBOdv1MlKU\n31zHfraMxphIRBoa9KKXGRW1jCrjELyPOrg9mynw/IUMs5kCccsgnYwCio9IHasCxDHTYHsyxv5t\nSW7eMcb+bUm2J2PETIPxeJQbt436MYRaENBSTEm7tUxDVAkBRU2BZSgthMWcykSazxb57y9f4bce\nP8FSvtjw3lSO4ahpkIwZLRkrjXYWVTqYr7WptfbD4Ru2NL1OiPpoypIqhLin0edSyse62qImuO22\n2+Szzz7bz0u2RbFbj3kxaiq2yV7Q9LbiL9V9mM3kPZ4elS0UFCdphxlS9/O1JWUQDCG8fHmlnR0x\nBa/fviZYn4yZgRxxhblMvoz584cXlb8/Yq6lt47HLW7clvRjDvr+XcwWOLdUwBQwEjUpuSoTpx4m\nEhbJqOkXe1VqB+vagmb0ztO/+TdcWbV9Fwtokfo1Mrz920ZZztucWyoQNQU7UjEilsHJ+VVlmBBl\n/E+jUYOD02N1GTu1a+bbpxcolNyaWV0Jy+DgdKrsuFrPM/jcNFmioixR90JTbpsCn0LcEJDz6lpu\n2DLCuOeyaUR9rcdb0XHWOJcMxbkUrK6udNHVewavLeU4OD1WdswDx07x0qUsS/mSHyfS42Uzspyu\nF93UaP5z4DnvB6pjUX01CoNAO8HcejUKUVN2HBBuhlr+0kq/7OWVIlFLpeZpBStdB3Dj1tG2YxC6\nnznbIeLlgEskBgJDKH+9Xukpkr4VDqaTZedYzJUouUp3+aX5FU+dDJySJGEFVb+2VD2DdCrua2Xs\n35ZkKW9zcr52HyxDkdB97smTKGJu1V5Quf3B2oJmPvGD0yleupTltSXFa6SZTx2JX5fx4oWMopEW\n4LiCV5fy7J5IEDUFF5YLHEin/Ik1OPHXq23Rz/fozBw/+8XvVcVRQKkHajSKKenrjMctLmaLPk9V\nOqUyxx665ybufexF5rNFxVGlXXVeHGUuW/DbHkwLrZzkHzh2iqLjcNE7j45VfPaJl5hMROpWV9d6\nBlrGtNKlpMV2KoP5w0ofsVHQSkzh3cAJ4BDwCvBZKeUHvZ8P9bR1fUQj104jl1Al6rmBlgtOTzIz\n6vWl0i97fC6L7bGaBv3JhZLrqVqZbcUZdD+TMYuSJ8iyeyKB481YukhI9xPUJLKUtzlxKctzry2R\nLSoSu1Pzq+QrVsBFR1Xquq7k8996meOzmbL7t5SzPdlIl5m5DNKVNf3uphc7+NIzr+K4rtrRSOm3\nd3sy5j+DVlxxHz98A1HTJBHxiBENww/Y6vbrf0tesFbvDHakYhQdt+b5W3Ef3nkgXddVZrtK4nQp\nZzeMKenr3LgtyWTCUqSOAuZXbJIx9cz2To34HEz+ffR+yRYcXrywzMxchgtLeV65vMLdj3xPuSPF\nmjvy+68ucGG54Nc9KMoMVfCYKZTquodqPYP5FduLcZQfU3DctuNpIZqjZZEdIcQo8POoOMIWVFrp\n3/awbTXRC/dRM/dQN8Q4ei3oUcYFVEPQRFMd7ByPc9YrXJJSuQ9SMYuio/zstqOEbMbiFo+859am\nu5jgvbMdl1eu5HClknHcNR731d6ipuBitqhEX2Q1WZ5GcMqLmgaGkNiuxDIU0V06FffJ/ADPFaQq\nmKOmwdRIxO/3Ut7m9JUcUc+V9cOLWYqOLGMzrXwGrbriNCVE1BSsNnBbmSgeJ0dKrt+iOJG2jMY6\nTo1MfOKI99wMSo7r60GDIhF0JUyNRPjSe28FaJgaXWvcL6zajERNTl/Jec9A0aCUPAONUIbWddeo\nTHRdiECwezJO3nY4v7wmcetXvXsEflFTcPOOMb8dlW6oymdwfDbDrvF4TZfSaDRy1SinrRfddB9p\n5IElYBnYDWwahexm7qFucJf0kv+kHhdQ3DL9rf6OVIwzizksQ3DtREyt4lzJ67YqoZXLi4p/J+Kp\nnM2v2Nx3ZKalWoeH7oH7jsxwcn5VUUwLxat/5kqOdMohapr84ht38TtPnawi0atE8DPTk7HUOsFq\nNWsxm9GU1IJrJoKGxyijtK4s0to5FufMQo7zS3nGYlbNZ9Bq6uKW0ShbRiJki431mx0UpUTU0pxA\nb1jXhLV/2wgzcyvgSkqBBZ3mrtJ6DlBbgCmYGl057kuO5MqqTaZQIp2MMJe1KTiSuOXtuAzBnkmV\nha6FhUBdt+RILFPxDEkp/SB8cPekFd0q9zqVq/vKZ1BrQaWL6rSrKqw/6B5aUV77SVQl85uBJ4B/\nJ6Xsb6S3x2iW698N7pJe8p9UvtyJiEmh5PLaUt4PaFqG4JrxGDvG4py+sspb9kz610984ognbrPm\nPzaFrFK4a9S3B46dYt/WEcVK6Qnp5G2XbNHho2/fw6PPnKPouMQtQc7bJgQnDQ39N0MoTQIXyJdU\nllDMVNXWJ+dXiVuC6bG4v+IfiZgs5GxfAvK0x+C5eyLuG8bxRITdUvLacqEsv76dZxA0wLvG4/zw\nYrbpMY6EfVtHygr7OsW7D+3kXz/xUpkUqWUIto0qA1UouZy4tMJ9R2aqFjrZQp73/fH3mUhE2Ds1\nwj/MLnPN+Fqp0Vy24Afgd02MkIzZvpiOELB7XBHsnbiULZP11JO84yrNbFdKEhGTVMzkQgUrrSGU\ncTh9RcWQdJHiL75xV90+txJvCdE9tLJTeBJ4AfjvQAz4FSHEr+gPpZS/3qO29Q2tBBi7Mfh6NYAr\njVo6FeOVy6sUpSQmVeph0ZHkAy9SK3Ck5I6Hn26pMjvYhvFExKd8XsjZHDt1uYzsTpuCWjsGQ6hJ\ntLJYy5GwWsJPN9TPaylvM5cpkLMdYpbJfUdmWC6U2Ds1QipmKqGeACKWwVuvm+zYZVe1unYllqCu\nO8wAtiWjPP+xn+zoekEcnZnj0WfOkU5GWczZZIsqIygVNbi8aisqdNQ9PD6XZc/k2mZe3SdF4ne9\nN96X8w4XzYLvbtPMuTHLUN/PFrAdF9Mw2L9txL+X+ntB6Mpyy1AEfRMJi3RKxUcKJelnaO2dGmEx\nb3Nl1cYUomaRYiU2GqHcRkcrRuFDbBIxnXrYaNS2lag0auPxiNJH8Fw1unLWMmqLtQRdEjrLRFf7\nVmZ81KvMbkUhLp2K+b7qejCFInAL0k/oCcgw4PPfetnPJNJVuV6slFzR8SfDC8uKLkN7WLr1XCsN\ncMyTznQdWaYBLVD92J6McOO2ZNV5NNqhRNEGyTBMRL7kM6ou5h2/8M6Vgp3jcc4v5bmwXGAioeoi\n5jIFhJc2q2MEyi9f4MqqzY6xmB8ITsUsP+5keLTqF7NF/15GTQNHOn7qsZAS2yMk3Ld1lHcf2sGj\nz5zzqL1VXEJ68YbxeITZTB5TCA7tXIsrzGXKdzG11OH6ZQQ2kp5yL9ByoHlY0Ks6hY3MjVIrYHhy\nfoU9EwkmRqL+9+rllR+dmeODf/ocmULJT1m1HZd0qlq4pl5gvFGwPkh/cHwuQ96unWu/Ixnlcs7G\nlYo6OoiYZWAgKZQk102NsJQvcnm15H9uCsU9pKuVLY9mWrs3XO/fRESJ1B+cTpU941Yngkr/djCY\nPRYzmcvaSJTGwtbRtTRPqA76Ai3Xv4DK4TcFvLpY8Gstip5CmjKmKijsuNKvTr5x2ygjEZMXLixj\nCJVxhYCzC3kEqgBQq9JdMx4jX3I9caDqWpaoabBlNMrx2WWW8g7JmEnednwXUKXus66t0BTt2tX3\n/Pkl4pbJ67YrY6kTB1wpObRjbKAB43ZqkjYaWg00t1K89vVGn0sp726zbetCP4rXNuJKodKoXV5R\n6YCtZjtVHq/9zY0KuZqdQ9+34It2an7FSwvFDzprKuaRqOkXIa0WnbXsFQFxy6TkpTZOp5TiWNFZ\nc2NIvEwZoOAoGupaUpWmAQaiLC8fqDKKqZjFl95bnX1Va9JYzNmenrNK7QVBplDy78Ezry56/E8u\n8QD/UzJmNHxGtWpNTs6v4Mq1+I/jqpRPS6gbpYvNVHGd5EA6RaZQYiGQkXbiUtbXz4hagv3bkmX1\nEprEMGatCfU0yxBqpOldeb9OX8n5mWSgUmn1c9/v7aq6mZnXDnqdJThIdNMoXAJeBf4r8F0qkgf6\nnZbaa6OwWVYK6+1Ht1+OqpXjmJoQdGpp1FSqYQB7phKsFlVaI2hXjMpESsZMXz+46LhlVcXevKh+\nl/V9nkqkSQWKd4zFeeVyljMLBf8cmlvpQHqU++86WHOF3+quUhPQuVJ6/nblntuerC2IoyffL9xz\nc8100fkVpQWtq48lkqmExVzWVjsFwHalqgg3Ba/bnuT5jx2uaZgllEl+6km/V89e36/DN2zxxY1G\nIiYvXsj4z13vJpotQHqFVqraNyq6mZI6DfwUKgPpfcAR4L9qYrzNhvVQUQ8T1huc63acJViV+2uP\n/QDLVBPC9mSU+RWb0aiFZbokoybj8Yg/Ocwuq8l6JLomnfl3L18mahpYQmBLWZb2KKUnEdlgraOL\n9kYiJsdnl7nouXz0NKB2CzBzcaVOWudNLU+ODxw7hROoIlf2Zk3HoZa4fSpmVqnL6QyqTEG5dnTM\nJWYJLNPAMoUn96nOI1C7heNz2YC+QIXq3li8qjoZevfsg9BUF6evrDIaM/3nHrwP/SxC04ZrdrnA\nxUyhzN11tRXEtRVTEELEUMbhAeAzUsr/u1cNq4de7xQ2ykqhHy6uXsVZap0X4L4jx72CMIMdYzFf\nrrOSvjmo0aCDzUYgiFosub7ecS0EdwqzmQJLuZLvxoLyXYZlqDhEOhXz6yHaWTGnf/Ovubxi+22M\nGAamoXY5B9OpKj6shVUbIWB+pUjEy+TRfv2xuMWp+RVWbNdLG17L1NoyEmEuW6zioImZgrftnSpr\nbyu7yH7G2Aa9Oy8rwCy5nF3MI4E9k/GaY3CjomvuI+9kMeAulEG4Dvg68IiU8rV1trNt9NoobASf\n4qBfom6j8qW8kFHxkIPpJPffdaCqT595/Ee+7oLSaLDK4gO/9tgPeG0pR6GWYACKalvHFFaKJZby\nShZTu5+C9iRhqcwZV8LuyThjMavlBUI97QLTUMbhsQ+o97M8FlSk6LhVRIO6LmI2UyAZNatI4K6s\n2qzabk2jsHM8XjO5YJgSKwbZnqrkgdxafcZbr5sc+L3pFrrmPhJCPArchJLL/C0p5Q+60L6hRTtb\n50EFpIfZxdXJPSnrTxQmRpRO9JbRaM1jP/3TrytzP1ROIg/dA/d+9XlOLxSqjo2ZgolExGdeve/I\nDAurKn9fu5804pZaqSveH8lcpoBliJZdCVq74GLWxpCuv6qXslyQJ9hHvVNNp2KcXcij2EsleVt6\nxIrCV3TTRYIXs0WKjiRilEt3Wp6Bq9XeVlM8+zXGB1mEVplmPJ6IMBZXxn9YFoL9RCsxhf8ZWAH2\nA78ecKsIQEopx+oduBHRqi++U4W1bmBQamvN0Ok96aQ/zZhhF/MOW0Ysio70V9RRU2U9JaKKWO+Z\nVxcVLQMCS0hfChNgOhkhGYtwdjGH44IhFDV3O751rV0Qj5jMZTRVtjJ+lambetIdi5kBrWq8wjyX\nZMwqS+8tOZKzi7mygjWdlWSZoowavNMFzSDHeC9Qr8+dqh5uVjQ1ClLKVphUNxVaWbUMcrU+rIO4\n03ui+1NypT95WoZg39bRsu81msiCE5gpFC03qNX+7skESPxc+OunRnjpUpa/PXXZz2wSGBhyTdVt\nYiTKaNRiN3iUHdKfmFt9vrpfwcC5dkVWtllPusGCu7GYpQrKKlyDWhdjzd0lSHvZTIZQcZBg7UCn\nk32t6u3ZTJ57vvzsULlV1mvgNnrxarfRDiFeiAD06lZv4bVginZF9BLDOog73cF8/PANfOgrzzG/\nYiviNSBvu8xczDL9m3/DwelUWRpjrYlMT2AlV/rFXa5U9B5nF/JI6foFcTNzWYqOqnlQ212BGwjm\nagEaKDEWt7DM6om5FionJ93mes+pthHFLxKrtVPVO1kdbI971erj8QgjEZPXlgtsS8aqjqvFojs5\nEg9ct9p4B5+nVthTYW+GZtfQqYEL9vmpj7wtpNEIIDQKHWKvt9rUIiKmR99cyks/BbBXaMXFNYh4\nR6c7mDsPpNmejLKcL/n0GoYnF7lSLHFhOc/nnjzJ1tFI3YlMT2Avza/4WT4Fb+J3XdfnJoqaoky7\nQaLYWLXgkGUKv9q5nUmi1uT06DPneP/t13Ds1OWa56lnRBdyNs9/7HDD+/XW6yar7nU9XqdWWHRr\nGe/g85zLFDy6dUHMEkMTx2p1d9oK6eXVagQqMXCjIIT4GCrFdZuUcn7Q7WkVuvITVDaJylgRZUpe\nvUSjQTwoX/B6djDLBYfXb1eFXCcuZT3NAPyK35LrspgrkVaKkyzlbGYzBU7Or3LHw0/7vnjtekII\nIlJJTerMn4gpsAwD21F01zo65sryYG4n7JvBySlI0vf5b73Mn/zSm9rmi2qGdu51PRbdWipq9a6R\ntx2/4C2dVIZ5GOJYre5Oh9XlOowYaLxACHEtqjDu7CDb0QnuPJBmPG4RNZXLImIqwq+gkteg0I74\neTehdjCN1cPqYe/UiK+ipVW/tE4zqNqCguf/0Vw5mor7wnKei9kiC6tKE8JxpacXrc5rGYK4pUKy\nrpRrVc/g1UMo7h+J2pk8cOxUSyLzQWh1Pu1msR1JxBCsFBx+7bEf1DxfK0pv9dDOva5UDkynYkip\nXHSNrhu8hmkYmIbwK6BhOCbV4LjRqGfgOr3XVxsGvVP4PPAvgK8NuB0d4eB0qmZNw6BflEFmJ3W6\nDQ+uSqOmQdFRFHZaMGYioQKpK8VSmcjO9Fi8zBc/EjV55UoOgfRcRQ6moXZw8YjJa0t5P5CrCPIM\nDGGRs12mU1G2J2Md7az0SlS7WVR9AcQjwjfIledab9V5q/e6FotuOuWQLTpNdSVqVaJLKYcmjtXq\njimk324dAzMKQoi7gdeklM8Hq4c3EoY14LsRt8rBl3ZhtUgpL9k6GmEsZrFSVLGG6VSE01dy5Etq\nh6BV10AZvdeWVJ+vGY+xmLPJl1wuZotMxE1mMwVMsbarc6XEAM4s5IlZBtOpqE/QVkuQptkEosdC\nznaIeDEKiSSdjDc0yP3wZdcap1HT5E9+6Za2DNCgJ9V6cbJa7QJqaoGERqA5ekqdLYR4AsWdVIlP\nAf8S+Gkp5ZIQ4jRwW72YghDiw8CHAXbv3v1jZ86c6VGL28ewVYbqNrVKYzCsTLDB+5qKqUDn5IjK\nsKmntTybKTCditWktd6RivHKQkA/2uP9WSmWOH0lV0ZM1ymV82ce/xG//Y2XKLkSU8D20Sg7JxJD\nURE/bOO03fHXThX/Zqv47xa6SnPRbQghbkYpuunl0zXAeeDNUsrZRsf2gzp7M6DRJDAsL03HGgY5\nmzMLOSKm4PXbk377s0W7jO77xKUsRS/T6OYdY7x4YRkBRAMUzdIjjbtuKuGfv1Uq52D7xzzDFTEF\nc5miH7fYnlyj6L6aJ6QgOhl/7dDPbASqmkGgmyypXYeU8kVgu/692U4hhEI7q6tGW+VhoMloJ0Oq\nFg1BLa3loJgPlMtLwppKWiGg4LNqO+zfNkK24KLdK3lbfa7jGVAdk9H8S1oj4cKS4srZM5lgz1TC\nzz7SGtUPHDvFvY+92NNd2bDv/jQ6GX/txMmGteJ/o+Cqq1beqNCTaKU8ZrtZMlCdjQL9f2nayZCq\nlWGic/Jf/tS7eOojb+POA+mqDBOtX5BOqsk9nYzhejrCwQyU++86WJbJMxozSaeidamcj87M8bkn\nT+JKSdQ0KLl45HtSpXnGI+zfluTQjjFipuDRZ8515bk1QjfHR6/RyfhrNcuo3e+GqMZQGAUp5XXh\nLqExuplm2ulLc3Rmjjsefpq9n32COx5+el0TTjsTQ6vphJVpmvu2jjI1EvEzZixTMDUSYd/W0ao0\nzjsPpHnqI2/j5U+9i4++/XrmV2yeP7/Ejy5mmMvkqyqRHVdRdyuNBM01RNUupODIms/tviPHG97L\ndu/1esdHN59tM3Qy/tpJKe1G+mk/78ewYSiMQojm6ObqvpOXptsr0XYmhnZy8oOT+/MfO8yX3ntr\n2XFfeu+tPP+xw2U7jMp+PvrMOZXCapkUSpL5FZv3335NWSVyzDLKKLYjhirsqtyFxEyj6rnZJZfj\nc9m697KTe72e8dHvXUYn46/dMdBpvQxsrF1XLzCQQPN6MMyB5l76dHstkdhIY7eeAPt6rz8Mwe5K\ntHKf73j46TKKE62JDLBzLMpsRqmq7d+mCP2KjqsqnT2erGzBQQDXbx2peS9vefAYJ+dXKHl6EelU\nDMsQDe/1esbHIAKzw5YNFcRmDVQPdaB5M6LX1BL9kEisRLBPrlRC72cX8uyexCdg6zQOMQx577XQ\nSpBSP4vtySiLOSV2YxqCdx+a5tunF7luyqpSUssWSlzMruk2mEbte3l0Zo7jc1lA6SwXCw6ZwioG\ncPpKri6v1nrGxyACs8NcM3C1B6pDo9Al9DqjpxuTaLs7mWCfVOaOIquby6hg6nqDd8MwMdTTM2hU\n+FfvWdRnPRWcXczjSkkiYmIaEtdVtNeV9/KBY6cwBRQcylTUXFT6bL2FxnrGx0Ysduwlrvb7ERqF\nLqEfq4v1TKKd7GSCfUonY5xdzIHHmbMZuGOa6Rk0o03Q9A863XR2ucCu8VjZ9zTr6UQiwvVTIwgh\n/OK4Wvfy3sdeREv9VDp2haAuZUawTe1iGCrzhymddhjuxyARGoUuoZeri268MJ3sZIJ9Gk9E2A2c\nX84jpPJvd+PF7fVk0Oj87egZQDVtAlBmVC5mCpxZyCOE8GMFwTHQyr3cO3WKc4s5ogYUXcrgyt64\nMfrpyqv1PICeul7bxbC6NvuFMNDcJfQqcNqt82rt3yDPlJSyoQh9t/tUT4SmV8HmZu1v9Z4Ez2M7\nLheWCxQdJao0NRLxOZPqVVo/dM9NAC3dy6Mzc9zz5WexXRenwihoAr99W0cb6i0MK+o9j2TM9IPx\nGpshsDtsaDXQHKakdgnrTYOrh27VJ3SSG97NPtVK8/vckycpOk7PKL6Damwvza/w8uVVZjN57jsy\nA7R+TypV3VwJphDkbJe5TJGlvMo2Gk9E2D0Rx5XUrINo5V7eeSDNuw9N41YYBFBGwXaUZGk76ZHD\nknNfbyyfuLQy8GLKEGsI3UddRC8Cp92KVXTqJ+1Wn2q5aiqFc6C7k8ErV1YxBb48p9ZaOD6X5ejM\nHIdv2MLnnjyJ46V+TiQsoqZZdU8qVd202AzIsmAx1Fc/g9bv5XkvNrGUL5EtOH5sQQhFo2GZ9eMK\nlRiU4FIt1BvLQNPgfoj+IdwpDDm6VbLfq51Mq6hVXBUUztFotW+trH5VTGRN30CttQVRU1UU6yK1\nmKV0FyqL1ILn0apuhudpcqVqP0DOdpoWYR2dmeOWB4+R+MQREp84wi0PfrPuiv2VK6tsT8bYvy1J\nxBSMRAwSlhK5GU+0lwo8KMGlWqg3lvdvGwkFcIYIoVEYcnRTMSpY7VurmrcX0JP37HKBH17M+q4W\nUMI5piHa7lurFacfP3wDRUepi0mp1Ngkkh2pGCcurRK1BOlUnNdtT3HLznGum0pw7NTlquv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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ " OLS Regression Results \n", "==============================================================================\n", "Dep. Variable: MMSE_bl R-squared: 0.146\n", "Model: OLS Adj. R-squared: 0.143\n", "Method: Least Squares F-statistic: 44.46\n", "Date: Sun, 10 Dec 2017 Prob (F-statistic): 1.94e-42\n", "Time: 20:10:24 Log-Likelihood: -3028.8\n", "No. Observations: 1305 AIC: 6070.\n", "Df Residuals: 1299 BIC: 6101.\n", "Df Model: 5 \n", "Covariance Type: nonrobust \n", "==============================================================================\n", " coef std err t P>|t| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "Intercept 21.5259 1.404 15.337 0.000 18.772 24.279\n", "sub5 2.3053 0.371 6.210 0.000 1.577 3.034\n", "mean_gm 21.4906 1.687 12.740 0.000 18.181 24.800\n", "tiv -2.319e-06 5.59e-07 -4.152 0.000 -3.42e-06 -1.22e-06\n", "age_scan 0.0155 0.011 1.452 0.147 -0.005 0.036\n", "gender 0.3281 0.141 2.323 0.020 0.051 0.605\n", "==============================================================================\n", "Omnibus: 117.302 Durbin-Watson: 1.934\n", "Prob(Omnibus): 0.000 Jarque-Bera (JB): 147.878\n", "Skew: -0.807 Prob(JB): 7.74e-33\n", "Kurtosis: 3.339 Cond. No. 5.63e+07\n", "==============================================================================\n", "\n", "Warnings:\n", "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n", "[2] The condition number is large, 5.63e+07. This might indicate that there are\n", "strong multicollinearity or other numerical problems.\n", "############################################################\n", "F test on full and reduced model:\n", "############################################################\n", " df_resid ssr df_diff ss_diff F Pr(>F)\n", "0 1300.0 8161.840950 0.0 NaN NaN NaN\n", "1 1299.0 7926.541231 1.0 235.299719 38.560871 7.128979e-10\n" ] } ], "source": [ "get_subtype_results(sub_img, 5, adni_df)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# subtype 6" ] }, { "cell_type": "code", "execution_count": 96, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Running analyses for subtype 6 ....\n" ] }, { "data": { "image/png": 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j2bhtpTnyaRm7vswGARTQhEJo2WUUEolueQ4G6Uzn02SLJTbfF4k/VHxOO/6f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\nHIgy3LFjB3+4ytmbuiXZUdJe344aE5XRSgnooJmDBdIrFEk0WMtI2t1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Jb1GH75mdbxJ3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K68KCl8MzlthlrNV6OobqVeJFKpQX1v+b9WaGH2IBIrITYcFFus2uKzfy2r94zmZr7d1ZXK6mjG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\nG+KiT0alMrqjTwlcJizio4aGhlLOniAI0NjYiLa21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WF0dLwXduBvBZMnm4ipl1/+VwCV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6sH379rhXELADYlb0pxeApKy+BXT5TY9mcn4pB59Dekspz3777RfLAyVnsLe5n393a2vsxqiW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\nJE3Sv66n+sv5vo3d5C9LAXMvYJb7yyrAPAu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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "############################################################\n", "GLM results for effect of diagnosis on subtype weight\n", "############################################################\n" ] }, { "data": { "image/png": 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ZMwej0UhqauoVk4+Xq62t5dKlSzz22GMsW7aMdu3aceHCBfbs2UP//v1viy8v\nf39/PvvsM6qqqoiKiqJdu3acOnWKcePGsXXrVnbv3s2ECRNYs2YNAAcOHCA9PZ0LFy7QqlUrmjdv\nzv79+/Hz88NoNCKKIocPH6a4uJijR4+yZcsWAOrq6rh06RJgW7c0aNAg9Ho906dPZ/LkydTU1BAT\nE8Pdd99NRUUFzZs3d9hncqOUl5ejUqlo27YtFosFtVqNt7c3ffv2JSAggC+++AKA0tJSDAYDOp2O\nQYMG0alTJwYOHIibm9tvkkZpaSm+vr44OTmRmJhIYGBgox3i+8vEIQiC35/9vyiKqut4/zCg4LLb\nhUCvP3n8DGD3dbzfTefj40OfPn3QaDT88MMPVFVVMXToUH74wZYPAwICmDlzJpmZmTz66KMOjrbx\nMRgMV/Sfeu211/Dz8+Oxxx7j448/xmw28/jjj9u731qtVkpKSmjXrh2vvvoqxcXF7Nq1i4SEhCa3\ny9q18Pb2ts/v9OzZ097/6IknnuCJJ54AbEOo3333HRMnTmTt2rWA7YuwfjiquroaHx8fqqqq6Nix\nI5999hk+Pj72YdTevXtTUVGBSqXivvvu+015af3+E25ubrdk0iguLuaxxx6zt/0/cOAA586dY8aM\nGXTp0oXk5GT69+9PQUEBo0ePJjU1FbBt5nbfffdRVVWF1Wpl06ZNbNy40X6V98knnxAeHs7AgQP5\n/PPPkclkrFy5kpiYGAcf8W/9nSuOnwAREIDmQNXPP/sAF4HrGRf4vQH9323XKwjCVCAW+N1CckEQ\nZgGzgEb5y+rh4XHFJFhISAgmk4np06f/4QpyiW345dVXXyUzM5O6ujq++eYbwPblV/9zQEAAMpkM\nNzc3xowZw6FDh0hMTLSP4SuVSmnV82VmzJjBjBkzOHXqFLNmzeL06dOMGDECLy8vNm3ahCiKfP/9\n9/Ymh99//z2CIPDWW2/h6+tLTEwMgwcPprq6mvT0dIKDg2+JRW1/V0lJib2c/uzZs/YWLcnJyXz+\n+efo9XqioqJo3bo17733Hu7u7shkMubOncu///1vvv32W/r27Wv/nd62bRudOnUCoLCw0D4aYbVa\n0Wg0jjnIv/CXiUMUxRYAgiD8D0gQRXHXz7dHAcOu8/0LgYjLbocDv2m9KQjCMOBfwEBRFA1/EOdH\nwEdga6t+nXHdEFarlf/7v//j2LFjeHt74+LiwsSJE3F1deXDDz9slAmvMRg4cCADBw5kz549fPPN\nN7i6utK+fXt2796N1WqloKAAlcp24Ws0Gtm3bx8AkyZNYvz48XTv3l0qOviVhIQE3n//fWQymX1o\nD2DBggVMmTIFURRRq9X2Nv/CsTm7AAAgAElEQVTe3t507NgRDw8P+2s8/fTTFBYW0qlTJ/773/86\n5DgcoXv37kydOpXCwkJmzZqFr68vJ0+eZMqUKbz//vvo9XoUCoW9XNzJyYmgoCB0Op19b44jR44w\nadIkvvjiC4YMGcLdd9/NqlWr6NSpE9OmTSM4OJjAwEC6devmyEP9Q1czx9FTFMUn6m+IorhbEIRF\n1/n+KUBrQRBaAEXAJGDy5Q8QBKEbsAoYKYpi+XW+n0NVVlbaf3Hq6upwc3PDYDBgMBhITU2VEsdf\nGDFiBC1btkShUBAeHk67du2wWCwcPnzY/pjg4GCcnZ2xWCx069aNuLg4Ll68aP9jltiUlJQAtpOZ\nxMRE3nrrLeLi4njqqae4++67+eijj3B3d6dnz5707duX4uJipk2bxqBBg3j66aexWCz2Tbbqz5Bv\ndUajERcXFwRBYMaMGfb7582bB8C6desICwvjrrvuYsKECSxbtsw+MV5UVMSTTz7JmDFjOHXqFCNH\njiQoKAhPT09MJhMdO3ZkxYoV9tds7MPWV5M4LgmC8DKwHttw0lSg8nreXBRFsyAITwF7sJXjrhFF\n8YwgCAuB46IoJgD/AZTAVz+fNV4URXHs9byvo/j7+zNkyBCOHj2KIAhYLBaio6Px8vJiwIABjg6v\n0SspKeHFF19Eq9XyxhtvsHXrVrKzs+07J8pkMh544AGGDBmCxWIhODiY5cuXs3nzZiIjI/noo4+k\nIcGfTZ48Gb1ej7e3N0lJSRQUFFBQUEDPnj0xGAyEh4dTVlbGO++8Q3R0NBqNBpVKxdatW+nTpw/x\n8fH06NEDb29ve4+rW9nChQv54YcfuO+++3j66ad/8/8FBQX2ogOZTIaHhwcWi4X4+HjmzZtn74gb\nFhbG5MmT0el09u2PExMTefTRR+0njsnJybz55ptERkbah7oam6tJHA8CrwLbfr7948/3XZefh752\n/eq+Vy77+XqHwxoNQRD4v//7P7KysuwTlXfccQcvvviigyNrGk6ePGkfktq1a5f96i0hIQFvb28s\nFgsfffQRwcHBjB1rO7eon5jMz8+npqZGWmj5M09Pzys2t8rJyaFt27YsXryY2tpanJyc7JuPVVdX\nM3LkSDZs2EC/fv3YtGkTmZmZgK0qsDFO3jYki8ViL2bZt28f1dXVJCUl8cgjj/Dggw9itVpp1qyZ\nfW1GcHAwH330EWC7SnFycsLNzY1Ro0bRoUMHpk2bhslkYuTIkWRmZtK5c2dCQ0MxmUxUV1ezd+9e\n9Ho9WVlZnDt3rlG2XP/biePn6ilpG7W/IS0tDScnpz9sJVC/lzPwpyucs7Oz8fLykr7sftavXz92\n796NWq1mwoQJ5Obmkp+fT2hoKDk5OWi1WjZu3AjYKntOnDhBREQEzs7OxMXFceTIETIzM5k6daq9\ni+ntLDExkSNHjjB+/HjGjRuH2WzmySefBGwnOcHBwfTq1YvOnTvTq1cvpk6dyqFDh+yNOENCQhp9\nW/Br2eb599Rv9yyTydi/fz8Aa9asYf369Wi1Wvz8/PDw8ECpVHLkyBFkMhlWq5XU1FT7BPeBAwdI\nSkqyVwkmJyejUCgoLCxk5syZFBcXYzQa7X3CXFxcWLp0aYMWdjTUVtN/pxz3A1EU/yEIwtf8TsVT\nUx02ulH279/PokW2qZ+XX36ZjRs3UldXx8KFC2nTpg1gq/oKCwvDZDIxc+ZMysrK8PPzIysri5Ur\nV9K+fXvCw8P54IMPcHNzY/Xq1U12odD1OnPmDAsWLMDT05MPPviA6dOnI5fLadeuHfHx8ezYscO+\nKrm+skcmk5GSkmJfd/Dss8/SqVMnHnnkEcB2Bv3mm2865oAaCbVazaJFi7BYLFy4cIGQkBCSkpLo\n06cP/fv3Z/fu3RiNRry9vXn99dcJCgpi+PDhrF+/HkEQeOONN+jRo0ejnzfKysoiI+00Yd6B1/U6\nomgBq4imug4XnDBixtkiQ6vVAlCtqkJfpUYr2rphK3BGEJywan7Zi0OtqgVEnJEjCAI6tQYLIlqt\nFkOlGuPPzzVodPjK3cEEdQWXrivuyxXVNNxc1N+54lj3879LGuxdb2H1+zKDrcV3/aK+PXv2cPr0\naYKDg+nXrx+urq64uroSHx/Pxo0badWqFZ6enmRkZJCRkUH//v0BW3PEgoKC2zZxHDhwgLq6Ourq\n6li/fj0JCQkALFq0iH79+tnLIsG2Mdb8+fPtk+H1qqqqSElJwd3dHa1We8V+0LcrFxcXfH19uXTp\nEkFBQfYCg9TUVIqKitDr9ej1ek6cOAHYfq/rJ8NFUUShUDT6pFEvzDuQZwZN/usH/onNZ/aTVnoB\ni2hlbNv+XKwpo7l3EAU1ZWReymdodCxuTq58dcZ2NRITFEla2QVkgsCQFrHIZTIO5aehMelxkTvz\nr4EPs+Psj5woycLL1YMxbfrzU/FZqvVqQjxtlWxDomPxVjRcmfPSAxsa7LX+TjnuTz//m1h/nyAI\nvkCEKIppDRbJLeLee++lpqYGJycnRo8eTXp6OrW1tdTW1rJtm2166K233qK8vBy5XM6xY8cAW1uN\nSZMmcfLkSUJCQuxnx8HBwU1qE/uGNmzYMBITE/H09LSXhoItKS9atIiIiAgmT57M9u3bEUWRS5cu\n2Scpn3zySVxcXPjggw8AuP/+++nevftt93lWVFRw7Ngx4uLiUCqVHD58mLZt27Jy5UoyMzPp2bMn\nCQkJfPPNN9xzzz2kp6dz8eJFnJ2d7Qst27dvz7Rp0wgJCcHf358ePXogiuJtU+bculkE6aXZeLq6\nk1p6gfzqEk6VnGNU6z6klV7gaMEZpne7i85BLVE4KbBimx+yiiIuMieMVjNeCg80Jj3eCiU6swG9\n2UAL31C6BLfm87RvAejXvDMHL9q+VkVR5L4Og/8wJkf623McgiAcAMb+/JxTQIUgCImiKD57g2Jr\nkhQKhX3iG2zN5hQKBatWrbLft2fPHnuVxejRo5HJZPTs2ZOZM2cyduxYfH19USgULFy4kIyMDGpq\navDz+9MF/LesNm3a8OWXXwK2icb6ksgLFy5gNBrJzs6mVatWaLVatFotZ8+etT83KCjoivkkhUJB\n7969b/oxONpzzz1HQUEBERERREVFkZSUhJeXF+vXr8ff3x+r1cr999/P/fffD9i6vWZmZuLi4kKn\nTp3sQ4G7d+/m0KFDjB49mm3btrF8+XJiY2N58803b/lV+V2CW9PKLwIXuRPfnj9MfnUJbk6uZKuK\nsIhWKrTV7L1wjLQy2wjDve0G4iJ3ws3Jle+yj2ERrbT2i+DBzj2I9AkmpegsGRV5AHi5/rI2RkTE\nWSbHZLXg5954OzxfTVWVtyiKtYIgPAZ8Ioriq4IgSFccfyI+Pp7169cTGxvLK6+8glqttk+YHzhw\nAEEQKCkpse9TDJCbm8urr75Knz59sFqtrF+/Hi8vLz799FN8fX0deTgOt2bNGjZt2sQdd9zB2LFj\nOX36NJGRkVfsfzJ8+HBatGiBUqmkZ8+erF692j7BO2HCBAdG7zj1Jyn1JbX1P7/55pscPXqU1q1b\ns2rVKmpra/H29kYul9uHoU6dOsXmzZvp378/y5cvR6PRkJubS1RUFBaLhaNHj1JRUXHLD/9ZrFac\nZDKc5U7cFdOPtgFRBHj4UqWrpVxTRYCHDyGezUgruwBAUV0FBTXldA+JsV2VieAsd0JnMrDmp68J\n8wpEJggICPQIbUuQ0g+TxcwdkV3oGdaeGr2GaL8rCw9MFjMVmioClX44yRybqK8mcTgJghACTMS2\nilvyF+qrL44fP86SJUv48ccfOXjwIB9++CFKpRJXV1d7md+WLVuYPHkyq1evJi8vj/PnzxMbGwvY\nGvhVVFTc9omjfkV4cnIy0dHRODs707t3b+6//362bt2KXC4nLi6OsrIyjEYjmzdvtg8P9u/f/7Zd\nw/HWW2/xww8/MHjwYNzd3dm6dSs9evSwr/bOzs7m1VdfJSkpiZEjRzJs2DBKSkpwd3dnyZIlFBUV\ncfjwYXr37s2hQ4fo3r07AwcOZMWKFcTGxhIYeH0Tz41dnUHLRynbqDNqmdhxGIEetr9Db1cPfBRK\nnu33y6qEZu4+uMqd+fTkTkTggF7Dve0GkV9dwtCWPfnwyJeojToqNFXM7fMATjI53golUb6/VPn5\nunni7mxL3EcLzpB5KY/+kV05kHuCvOoSov3CeLibY9fOXE3iWIhtod5BURRTBEGIBs7fmLBuDVOm\nTGHt2rXccccd9n42tbW1fPDBB6jVatRqNQMGDCA5OZkuXbqwePFioqKiyMvLo3Xr1syePZtPP/2U\nmJiYW65WPicnhxMnTjBkyBB8fX1RqVT4+vr+aenh5MmT2bBhA0OGDOHzzz/HYrHw2WefERgYiEql\nQhAENmzYwMcffwzAnXfeCdhKS/+q/NZoNKLT6fD29ubixYtkZGQwYMCAm774qqHKR39PSkqK/ee0\ntDTkcjlubm54eHiQlJQEwN69e9m3bx8mk+mKPTvkcjnFxcVERERQXl7O5s2bCQwM5OLFizd0K4CG\nKh+9HkW1FdQYbCW1aaXnOV9ZgMlqYUBUNy5pqslWFTIypg/NvYOp0tXSPrAFUb6h5FYVE+4dyLaz\nBzBbLXgpPIhp1pwTJVlE+4VzSVuN0WImxsmVr07vo0pXy9h2/dl17jAldZcY3KIHP+T+BECtQUu1\nrs4WTwNWR12rq1nH8RXw1WW3c4DxNyKoW8Vdd93FXXfdBdgWoG3atIkePXrYF64JgsDYsWOZN28e\nkyZNwmAwEBAQwMaNG2nWrBnOzs4sXLjQkYdwQxgMBubOnYtGoyEpKYnAwEC+//57+vXrx9ChQ1m1\nahU9evTgueeeIy0tjdDQUAIDA7n33nu59957AVv7ln379tGnTx8yMmxd+EVRtA/FAHTs2JFx48bh\n7OxM69atAVtnUwAvLy/7vihPP/00r732GmVlZcydO5f4+HjUajXJycm88cYbN/WzycrK4sypFELd\nLNf1OmbBGa3MAyfRhMKqRSdTIsOCwqq9orOoArDUgpvMHYNMgatJh8XsDDIFWC3I6opwwxlXk56K\nC5ewCE64WrXIflWZLwJauSciAu6Wut/8/7Uo1jWOeZNovzBi/JtTraujjX+kfW6iXKMis8K2p9yx\nwgy+v3AMjUnPqdJzTO0yiryqEhROzmRdsj2mpK6SCk0VIcpmdA5qyeepewDoGdaec5UXAUjOT6Ok\nzlaCe76ygAB3Hyq01YR5BTAoqhs/lWQRG9r2Jn8Cv3U1k+MxwEogSBTFjoIgdAbGiqJ4c/+yGqHK\nykrmzZtHdXU1ixcvtu9x8Oijj6JUKsnPz6dDhw48//zzVFVV0adPH9LS0tDr9cyfP5+goCACAwMp\nKCggJCQElUpFeno6gwcP5osvvuCnn37ikUceuWX2lBBFEYvF9sVoMpnspaBHjhyhvLycsrIydu3a\nhUwmY+fOnSiVSlavXk1aWhpRUVHExMTw8ssvExoayrp16wgPD8fd3R25XM7jjz9O586dyc3NpW/f\nvqhUKlauXEnLli3p3bs3L7zwAoIgMH78eI4ePQrApk2b7NvPHj161F7KW1tb64BPB0LdLMyOqbmu\n11hfEkad3gULLkR7WjirtRUJjAutIcxVj0Ju/dUzahBFEASwilBmdKXG5MTWCts4e29fPT9U2SZr\nY7wt3B1QhtEq8O2lQIyijDBXHT9U2d6js5+G/r7Xs9uCzcpzjWNy2EXuxNQuI+23dWYjFZoqBrbo\nhtUqkq0qpHtIDPtyjgNgtlhYlbKNWoOG2NC2DIjsSqm6Ek8XN86U5wCQV1Vifz13ZwXeCiV1Bg1d\ngluhdHEjt6qYAVHdaOEbQqW2hmBPf2SCQKfgK1vYO8rVDFWtBp7H1nAQURTTBEHYANz2iePEiRP2\nLSK3bt1qn7cwGAxcuHCBsrIyRowYgcFg4MCBAwwcOBAvLy/7pGVZWRnPPfcc2dnZDB06lLlz52Kx\nWDh16hS7dtm6saxcuZKVK1c65gAbmEKh4N133yUlJYURI0Zw7Ngxtm7dyl133YXVauX8+fN07NiR\nykpbKzS1Ws3//vc/EhMTcXZ25rPPPiM4ONi+xqCwsBBvb2/7MKCnpydffvklCQkJtGrVipMnT3Ly\n5EksFou9jYZMJkOpVGIwGBgxYgQymYzc3Fweeughxo0bx4kTJ7jnnnsc9hldr+YKHRf17vg4GQl0\nNXBWCzJETtV5saksjDbudYwOKCdb606EQs8FrTt7KwOJdNMyMbAYo1VGlfmXLXh1VjkyRKwIWEXI\nUCvRW2Wc1ngB4CpYkSEiAsGuv9vA+pbRt3kn+89Tu/6SUCK8g8m6lE8L31DWnPgagBJ1JTV6NWqj\njvYBUbjInXGSybkjsgth3gEYLWZ6R3RkUIvumK0WXJ2c6RjU8or3C/VqfJ0jriZxuIuieOxXddvm\nBo6nSYqNjSU6OpqamhqGDx/OsWPH0Gg0BAcH24elcnNzuXjRdjl6+PBhe/VKt27daNWqFe+//z5W\nqxWVSmU/GzebzYSFhVFUVNRodwK7Vu3bt7dXmI0dO9beWwrgnnvu4cyZM6SmpuLi4mLfhhRsVyg7\nd+4kIyODPn36YDAY6Nq1q30dx+7du+2tqKuqqmjRogUpKSn4+fnh6elJjx498PPzY8qUKUybNg2z\n2Yynpye9el25f1hTL9sd4Kuio7IOpdyMi0wkzNWAh9zCupJwAM5plehL5eQb3FHKzXjKzVgRyNV5\n8G1lIKlqb1wFCz29qpAjAiIRrlrCFXqO1vhyWuNFjFsdToIViyjQVqmmv28lVgT8nE2OPfgGYBWt\nHMxPw2y10D+q62+qmAxmIydLzhGk9KOFr+2qLNTLn1AvfwBGx/Qjp6qIrsExbEzfC4DWZOClAdMQ\nEJDLZAQoryx2kTehPWOutjtuS35uOyIIwgSg5M+fcuvLz88nMDCQ+Ph4tFotrq6urFmzhtLSUjp1\n6kRkZCTHjh1j8uTJZGRk8PXXX9OrVy/72oSgoCBGjhzJ5s2bAXB3d2fBggXk5+czceJEnJ2dKSsr\nu2If7ZqaGjw8POw7tt1qysvLeeGFF7Bardx9992MHj2aPn36EBQURHh4uH1DrEuXLjFs2DCSk5Nx\ndXXFbDYzZMgQpkyZwqeffopCoSAxMZGBAwfi4uLCZ599hkwmY+3atbfFxkOXf4FHudlW2Pf3qSSl\n1pfOylrOamyfgc4q4w7vGqqqnYlU6FCbbb9XBlFOF89a9FYZ60tsJc9OMhHzz7MkoiDwZHgeZlHA\nx/nWOodMLb3Ad9m2xbmCIFBQU4bOZGB8h8E0c/fmm6yDnCo9j0wQeLr3RKyiFR+FJ85y22fXK6ID\nPcPbY7FaGB3Tl7zqUga16H5FAiquvcS35w8T7NmMUa37IAgClzTVmK0Wgj2bkZyfSpWuloFR3UjI\nTCavuoS72/Sja4jjC2Wu5ptnDraNktoKglAE5AJTbkhUTUR9y+6IiAimTp3Kv//9b4KCgli5ciXR\n0dFYLBbGjBnDmDFjMJvNJCcn06NHD4YOHWpPHJ6envzwww/ExcXRunVrHnjggd98qbVo0YKKigo8\nPT355ptvWLZsGc2bN2flypWNsuXyr1ksFt577z3y8/P5xz/+gb+/P0VFRbRv3x5BEFCr1Vccs9Vq\nRRRtk6vV1dVMnDgRs9nMv//9bzp16sSWLVvIycmhVatWfPLJJwA4Ozvj5eVFamoq3bp1Y+HChTz+\n+OOUlZVRVlZmb+FS//p/J2a9Xo+Hhwfp6emcOHGCkSNHsnXrVhISErjvvvtuaDXRjRLrVUOwqwE/\nZxMxHmpO1Hqjs8j5VhVEW/c6RvmXc6TGF6sACpmV9SXhRLjqcBUsGEQ54a56WrlrqDS50Nu7GqXT\n9U3iN1b15bAANfo6zlfahqKPFZ5hVExfrJdN/u+9cJSzFXmEevozq+e9yAQBvdnI6uM7uKSp5t72\nA3mg0zCKay/xffYxOgW1Ikjpxw+5x8mrLiGvuoROQa2wilY+OfE1VlFkUIvuHMi1DcVqjHr75HlK\n0dmmkzgEQZABsaIoDhMEwQOQiaJYd2NDa/zS09MBWy/+xMRE+37XGzZsYPPmzQQHB7Ny5Uq8vLz4\n7rvv2LDB1ivGx8eHgIAADAYDkZGRLFliawPWrl07+xdoTk4OX331FT179qSyspIVK1YQHBxsX2h1\n8eJFCgsLm0SZblpamn2uZu3atWRkZKBSqZgwYQLFxcUcOnSIe+65h/vuu4/ExET69u3L4sWLSU1N\nxdPTk+TkZMBWKrpo0SJ8fHx477336NixIyUlJWRmZqJQKOyT2V988QWtW7embdu2nDt3jg4dOjBv\n3jzatWtHdHQ0np6e9lLTlJQURFEkLi6OnTt3UlZWxtixY3nhhRfIz89n9uzZxMfHYzAYOH78OJmZ\nmZjNZrZu3dokE8f3Kn9San3xkJuZFZbPSP8KPrwYBUCm1hNjuUCOXomzYMXbyYTeKue8TsnDIRex\nILC3MoAyo4IBPpV4Od1aVxmXa+PfnOndRmO2WvB39yajPA+jxYTObOSDQ18QG9qWwJZxhHg2Y2em\n7fezuO4SB/NTya0uoa1/cyo0VQCcLs+ha0gM607tQmPSk1p6gef6Taa5dzBZly7i6eJOpbaaOoMW\n688nTFqjAbkgwyJaCVL6YrSYyKsuoUcjqKiCv5k4RFG0/rzh0peiKDbOTXAd4IknnmDNmjXExsYS\nGxtLYWEh4eHhFBUVYbVaKS4uZseOHezfv5/IyEgEQUAURVxcXOwN43766Sf7/RaLhQULFhAXF8fe\nvXvJzMxk79699n78paWlPPDAA1RXV9O2bVtatWocFRZ/JTIykmbNmlFZWUnr1q3tieDChQucOnUK\nsLX4Pn78OIWFhWzZsoURI0awadMmIiIi6NGjByaTCYvFgkqlQqVScfr0aZYuXUpYWBhr167lpZde\nwmQyodfr6dChA7Nnz0YURebPn48gCNx///20bduWwMBAJkyYgFKp5NFHH7X3sXrooYdYt87Wz7Oo\nqIi8vDzANh/l5OSEwWDA2dmZMWPG8PXXXzNmzJib/0E2gHKjKwAaixMptT7k6tyJVGjJ0XnQ2l1D\n7c/DVFagvUcdydUuhLnqSK3zIsRVT5nRdiZ+XuvBHQ1QOdWYtfT7pbHoc3dMxmyx8O+kdYiIJOWn\nsmDgdABGxfQhOT+Vln7h9uEttUFLu4AoSusqcXdWsPfCUZxkts/WReZEQmYSx4vO0iEwGrPFwtaM\nA3g4K4gNbYdFtDC0ZSxx4e2pNWho6RfW6HqCXc1Q1XeCIMwHNgH25PHzPh23pa5du16x1/LatWsB\nOH36NEVFRURFRZGYmEheXh55eXk89thjpKSkYDb/cqbm6urK//73P/R6PcuWLeP8+fMcOXKEvn37\nArb9OqZOnYpWqyUmJoaxY8c2uWofPz8/1q1bR11dHYGBgSgUCtLS0nj44YdJSkriu+++44EHHmDr\n1q2AreKpPqEUFBQwY8YMampqCA0N5dChQ/j6+nLu3Dny8/Pt+3HUb4W6dOlSiouL2bvXNiFZWVnJ\nqVOnsFgsnDlzxt6bqba2lvPnf1m/ajKZ7HsoREREMHToULKyspgyZQre3t6kpaUxZMgQfHx8mDt3\n7k3+BBvO8GYV/FjVjHBXHT9U+SMiUGVyJtpdS6ram2g3DQN8LlFqdOXHan+6KGsoMSo4qfYhTW2l\nu2c1BXo3+vte1+afTY6L3BkXuTPtAmzrOJr7BLMr6xCdglvS0i8cqygSqPTjVOk5qnR1BHj4MCQ6\nloKaMrZmHACgb0Qn/Ny9aePfnP8e3gRA1qV8gpS2PnQ6swEXuTN51RVcrCmljX8kgcrG2S3iahJH\n/Sa4cy67TwSiGy6cxquqqor4+HgCAgKYNm3an54BdOzYkSVLluDq6sqXX35JdnY2bdq0YceOHVRU\nVHDmzBmaNWuGyWTiiSeeYOvWrWRkZBAUFMT58+cJCQlhwYIFHDx4EJPJROvWrZt8Ka6bm5u94eDE\niROZOHEiAK1atbJ3Ao6LiyMpKYnevXtTXl5OfHw8bdq0se8bMXr0aCZPnkxqaipt2rTh0KFDBAQE\n2KvQADIzM8nLy6Nfv374+PhQXl5OYGAgPj4+tG/fnunTp3Pp0iX8/f158sknCQ0NxWq1MmnSJPr1\n60dFRQUDBw78zQr2pnJ192tWEfar/KmzODHMrwJvJzND/SrwdTZzQefBRb07zd10nNfYeqXl6dx5\nIKiYd/NtJaHpai+i3LSU44pCbmV4swrkl/3q15qdKDIoiHbT4Cq7/kV/jd0DnYajMxv48PBXZF3K\nJ73sApE+wWRU5OHh7MbsXveRXVlEQuaPnC7LYVCL7vbnBv0/eW8eLMdZ3v9+3u7pnumefebM2c+R\ndI4Wa7NlWbKNLeNFmPJlswlLuCQxTuAakpBLQkHll9TlV0lIqvhVfhSEBEjITbgQQ7hcTILBxtjy\nbqPNsiRL1np09n32fenlvX/0aGSMHbzIlszvW3Wq5szp6X77PdPv8z7P832+TyjBpp5RDsyfYF1q\nJRO5ebYPrmdj9wi7Z44wGOnmnhNeBf+DY/tY17XiQt3mr8QrqRxf9V/9XQhxs5Tywdc+pIsT3/rW\nt7j33nsBjwm1Z88eent7ufPOOzsS1Gd7Zjz22GP81V/9FcFgkK9//etcc801JJNJ/vZv/5Z0Ok1f\nXx+Li4tYlsW9997Lt7/9bQCuuOIKvvrVr9LX10cwGOTb3/428/PzPPjggx2F0uXlZf75n/+ZwcFB\n3vnOd/KFL3wBXdc7zY7ejJBS8sADD+A4Du9///tRFIXh4WG2bdvG9PQ0P/6xx4nP5/Od/0G9XucP\n//APmZ6e5j3veQ+7du1CVVWefPJJjhw5gqIo3HDDDR29sC9/+ctcdtllAPzDP/xD59of/vC5Pg2/\nbpRngLFakH0lb9eqCWkVQvkAACAASURBVJfxepBK24hcFipiKg47ollWBOo8XYrRozf43mI/o2aF\nyXqQy8NF3hLLcaYWZCDQQCL4zkI/880AtySXeTSfpOxojBhVPtQ7f4Hv9vWHEAJTC2DqAapWHVM3\nOnIkdbuBKlRcXBx5Vlbd5Tc338zemaPk6mUemTjAk1NeO+OPXvEeVsR6mSosciI9xWxxmZ5ggqVq\njtHE4AW7x5eD88nn/B/Ar63hOGsUNE1j9+7dPP7444DXEOeuu+5CURS+9KUvsXnzZp555hlc16Vc\nLvOjH/2Iu+++G13X+dKXvsR73/teHMfhc5/7HOCFtc7G/zds2MC+ffv41re+xVVXXdUpgFteXmZs\nbAzHcfjhD3/Irl27AFhYWODAAU/LZteuXR05jjcbdu3axRe+8AXAYzzFYjH8fj/bt28nn8/zoQ99\nCF3XueWWWzh9+jTpdJpUKsXf//3fA16B4Nk8xFlyQSgU6uhTaZpGq9XiwIEDbN26teMt7t27l29+\n85tceeWV/N7v/d6LjOzNj4TWwidcbKlgqg4Vx3vkz9RMJhsmEkHV8fE7/bNsDRf5H5OrcREYis37\neuaZaRhYUiHks9ldiDPgbzDV8Jh8h8oRao5HLy3bv57U8JfCHZe/kzO5WUYTg9StBrtnjlJtNfj/\nnnuIm1ZdweV9a8nXy/SHuziWnnwee+pccV++XqLaqjOWm6FmNahZDX5jw42siPUSNy7uTeD5/G9f\nXNmb84wPfOADrFmzhkQiwTPPPMPjjz9OIBCgWq12EttHjx4ll8vx7ne/m4mJCfx+P5Zl4boujUaD\nu+++m127djE6OophGFiWxQc/+EFc1+Wf/umfaDQanYLBvXv38hd/8Rfs37+fkZER7rzzTqSU3Hzz\nzYBXfX3FFVfw8MMPo6rqr81u+dlnn+XBB739x5133sk3vvENAD7+8Y/z1a9+FV3X+cxnPsPWrVt5\n4oknaLW8dpv5vMdgEULw+c9/ntHRUe677z62b9/OLbfcwuc+9zmazSZ33HEHH/mIl9T8xje+wfj4\nOCdPnuQ973kPXV1e8ZZlWWia9sKhXZQ4UIryTCnKlnCRKyJFllp+kloLvR026tItPj44RcNR6NZb\ntFyFdMvPtfEci0sB6q6KX3H49vwgUZ9Fr7/BfNOgR2/x74sDOFJhpmEw3wzQcFVOVm1WBarMNQNc\nESlytVLgeCXEtkj+F8bVdAU1x0dcs1hu6UzVDTaEKhyphHmmFGVrpMjV0cKFmLLzgrDf7NBiw36T\n7QMb+Mf9Xo5OFQpb+9fx/x7ZxWRhgct6PZ00XdVYlxwGCUPRHu458QS267CpexRT8xPSTdYkBwnq\nxkte92LB+TQcv/YBzrPspuHhYTZu3Eg0GsUwjM6O9wc/+AG5XI6rrrqKYDDInj17KBaLvOUtbyEc\nDjM3Nwd4MtaRSIR6vc7Xvva1TrL31KlT/NZv/RY//elP2bFjB9deey2maXLq1KlOXcOqVav4yle+\nQiqV6nQHVBSFSCRywebl1cJxHGZmZrjhhhtwHAfHcSiXz7G8z3pc4M3ZWQXXPXv2cPLkSdavX8/O\nnTu5+uqreeSRR3Bdl3g8TqlU4vjx49x1110AHWkR8EQOv/KVr/Dcc88xPDzM+Pg4IyMjRKNRHMfh\ns5/9LIcOHeITn/hEJw9zMeORXBctqfBwrou5psGxapiU1uT2vhmmGib9/gZRn03UB/dnUjxTjrEl\nVGQ40OB3+6dZavk5WQ0yVg8x2zR4W3wJBUnC12S26TGoFMBUHRquSshn86HeeeaaAeKaxbFKiKPV\nCAutAHf0T+NXJDVH4V/mhik7GtfH0uwpJWi6KidrIeabAWyp8Hg++aY2HC9EzAgR1k3KrRp94S5K\njXPk06QZ5ZbVV9MTSvJvh+/DlRJHutiul5tThOC/vfUjv3A+23V4YvIQQgiuW7Hloqsq/1/LvzyP\nOKu2CvBnf/Zn1Gq1DpMnk8l0VFonJiZ461vfyokTJ9i5cyf5fJ7169d3FsHTp0/zwQ9+kH379tHV\n1cX4+DjFYpHe3l6++MUvcv/99xOLxbjtttsQQnDbbbf9Qle7WCz2S2OzbZu5uTkGBwcv6s5sn/vc\n59i9ezdbt27lox/9KN/73vfYtm0bt99+O5OTk1x33XX09/dz+vRpdu7cybFjx1hcXCSVSnX6bAwN\nDfHII48ghCAej/PAAw9w7733smPHDnw+H7Zts2XLFtauXcv09DQ7d+7kM5/5DADBYJDvfve7fO97\n3+ODH/wgt956KwcPHgTgwQcffFMYjhGzyolqmFGzxkLTo9qmLZ3/WO5jvBEkolr8/tAkqvAS3QBH\nKmGGjTrzTT9XRwtY0tOcMhSHiUaQ2abJbNPk7Ykl0pafq6N5XCn4eTHOpmCZh3Nd7G3XgiQ1z+PL\nWjp5S6fX36Rga5Qdz2ObaZi40gtGOFKwzqzwXDXCOrNyAWbrteGZ+ZMcXjzNVYMbGYr2cHTpDKOJ\nAbpDCUwtwCev/gCPTBzg8cmDDEa6uW7FFlzp8vOpZ2k4LTakVnU2gKqicOXABmzXYefouVbGR5fG\naTotmnarI6ke1AJsH9xwQe75pXA+DcfkeTzXRYXTp0/z5JNPctNNN5FMJnnyySfZvHlzJ+8BnlTI\nX/7lX7J7925uu+02FhYW+M///E+2bNnCv/zLvwBez4dYLMZDDz1EKBRCSsk73vEOtmzZwokTJzpd\n1gDuu+++jlEoFot8+MMfJpU6J3bWarVIp9OdMZw+fZq9e/eyc+dOvvzlL7Nv3z6uuuqqTu7g9cJr\n6R9xtlbi4MGD/Mmf/AmtVosnnniCUChEpVLh8ccfJ5FIkMvluP/+++nr66O7u5vdu3d3al8ef/zx\nTuFfNpvtsKEOHjxIKpWiUCjwzW9+k0gkQiaT4bHHHusYlKmpKf78z/+8M4677rqLUChEvV6nWCzy\n0Y9+9BXf0xvdP+K9qUXKiQxh1WaibrKnGOeSYJmnS953p+L4eKYUper42B4pcKgc4ZJghXvSXiFp\n0dZ4eyLNcKBOSLVJ6S3O1EMYisNz1TBzTZO5pkHMZ3GqFuJ4NUyf31MPrjo+boxnqDsq/f4GPXqT\nnKVxpBxmjVmh4ahcn8hiS8Fk3eTSUImoZvN2J43xS+q8Fzcc1+WeE4/jSkm6micWCDNbWsbw+Xnv\nhht4ePxpRhMDTBU8leXZ0jLvXHcNtut2eojX7SbXr9qK5djMFJc5UjxDPBAm1A5NnUhP8v2jXv7y\nbHgLIOS/+NQhfqXhEEIMA8tSyobwsop3AFuBY8A/SyltACnlb7yeA72Q+OxnP0uxWGTXrl0MDAyw\nf/9+otEon/70p/na177G+vXr+djHPsaPf/xjkskkqVSKH/zgByQSCW666SbuvvtuCoUC/f39/OhH\nPwK8hb+np4fbb7+dj33sY+TzeY4dO8bb3/52nnrqKW699VaazSZ+v58bb7yRZDLJV77yFc6cOcPH\nP/5xvvjFLzI+Ps773/9+PvGJT/DpT3+aSqXCo48+2gmJHT58+HWfm5MnT7L/2UNY8eCvPvgFCAiB\nKQR1xUW3HAwUbCTpSgmjrbU6k88QxDMGZxbnMKX3fl5xMaSgUi4QQKBKKNstXEPD7wpy9RKBWhlT\nKtTrdeaLOUzpnackXJqqpJHPspTL4grwS0FRWsw1W6DAXGER2ovAy4WWf+NrY4WgU8E9YtYYMWsA\n9PmbHCjFiPpaPJjzOvRtj+T5PwanqTsKRyoRLKkQVB32luJMtxPeb/cvsyJQI+FrcaruEQ1ylkZI\n9a7hSsF10SxPKy6D/jqXhssYqsvPC3H2FmOcqnkhLwXJ/zk8jtk2EEOBRmfMbzajAZ6H0B9OMVta\nZjDS3WFSudLl0YkDLFayLFayvGvdtTw13WQgnOJfD/wE23XYPrAey7Gptuo8OvEMsUCYs2z+cquG\n5dqMZWfJ18/J+PeEEty+5R0oQjDyvELEiwUvx+O4D7iy/foLwCjwn8BNwHbO1Xf82uJsy1FN0zq7\n21qtxt13393RQgIv9g4eM+j+++8HvFDK2bqP2267DSklTz/9NKVSidnZWW6//XZWr15NPp9nxYoV\ndHV18clPfpK5ubkOW+sTn/gEx48f74RnvvnNbzI+7un6n5UWP7vTVhSFT33qU/zkJz95w6qbrXiQ\nzM2bf/WB/xVciZmv0Qz7kUKQnMphBTSapk58roCjqQjHxZzKIxBo8TBGtgYS5i/ppnssQyAYYWlt\nF7FD85gS8gNRzLkiriLIbhokcGQehCC3dQWK7ZI65BnY7FCc0xt6QXlt/I6uB4+8tjk4j+jzN3lX\naonFpp8nCxKJoO6o/P30KjTF5V3JRQ5XI7gSevwNQKILl6mGwVTDZAqT69uFgKuMGmvNKnuKcRwg\nojlcF8vyVDHBgVKU/cUYOVtnrmkwangLql9x8YkLn/acmZmhVCjyd49+9zWfS0pJVDFYzmVwkRhC\nR5Mq+YrXO0VF8ODJvWiKj8nGHJa3p+bZudMYik7Z9YxnoVEmLAJoqGhS5YuP3UVdeoKUhtBRgKfH\nj573avHZwjIl5fxI3r8cw6FIKWvt128DtkspXeAuIcTrv6W9CPClL32JvXv3dryNkZERbrjhBpaW\nljhy5AirV69m+/btPProoxiGwZYtW3jggQeQUjI9Pc2uXbsQQmAYBg899BCqqnaE9qrVKu973/v4\n7d/+bXbt2tXRs7r++usBzwjVajVisViHtrt9+3Y2bdrE3r17ueOOO5icnGTr1q0Eg0Fuv/12uru7\nueWWW17yfi5KKIJa8pzXUuiPsvrJcVTbZW5TH6rtYGabFHvCtII6jk8hnK3hKgKj1MRnu/jsFqF0\ntUPva4b8nLlmJUgIlJtMXL2S+GyBlU/PUI0ZWLqKajlUUqHXbDTeSEzVDeaaAbaEi50d/Uuh19/k\nd/pmKdk+Fpp+XARNV+V0Pch426OI+OxOzmHA3+BkLYwuXNYHK4zVg9yf7WGpVWC2YZC2/Jyshon5\nLGabBieqYTYES+RsnV69wa2pBcbqIQb8jQ6z680MV0oEHltPCIEPL2eoIjBFe0MpVPxSo+o2aGLT\ndG2iwkAXPqSU2DgU3BoaKioquvDh4GLhYEkHjXN5SE2oaOJX5yXP1omo4sIkzV+O4ZgRQtwkpXwY\nL48xBEwJIZKv68guIgwMDHDrrbfy3ve+l3K5zKpVq/ijP/ojhoeHue+++/D7/QghuPTSSzFNEykl\nb3vb2xgaGup4KFJKDh06RLXq7cii0SimaXLdddfxhS98Adu22bFjB+D1d37HO95Bf38/Q0NDzM/P\n88d//Mckk8lOaGxpaQnLslBVlb/+679mcnISTdP45Cc/ecHm6VfBX24SylQo9kWw/T4ii2UsQ6Me\nM7wSZ+8J9Y6tNFFt7+EIpStElzy2VTkVRLiScLrC/IYeKl0hFNsllK3iaCq5oThOwIdeaREoNqjH\nDPqeWyRQadIyzlFsg4U6x3euQSoKrnbuQVUsh1C6Qi1uYhsXHyW3Yqv8++IALoK5ZoDr41lylsZa\ns4otBQVbI6W1eP5mdbAdJur3N1hoBfArLhuCXpJaIijbKidrXt1Ar7/JjfE0Ryvhdo7Di79P1M2O\nQXakoEtrMds0CKk2tySXuS6eI6ra+BTJplAZKaHhKgQUF8sVLLf89OhN9pdi7CvFuDRU4sbE6y9b\nMjQ0RNH186kbPvyrD34BfnLySfbNHmNtcpjrV23loTP7WRnvY1v/Jew6s59oIMQNq87VBf3HsUc5\nuHAKn6Jy+Yr1SAlXDm7gb5/02H3BgMk1w5tZKGeQwKGFUwDcuvF65stpkkaU1ckhji1PsLZriJZj\n88jEAUbi/YzEB7jnxBMkjAjrUyv5/tFdKELhd7e+m+Foz8u6n7979LtEh7pf8Ty8GF6O4fgY8G0h\nxF8AReCQEOIgEAc+fV5G8QbjpRK6Z+sxXqzPhZSys+jPzs7ynve8B9u2SSQSRCIRXNftfG5paalz\nbF9fH/F4vBOiOhv2yufzCCHYvXs3tZrn0B04cIDu7m4sy+JP//RPUVWVgYEBstksUkoymQyf//zn\nMQyD+fl5Go0G3/nOdwgEPNqk67r8wR/8wSt2cd+QhK4rWbVnEp/lEJsrUu4O0T2WQQqYvXSA/ucW\nkIpg/KoVRJYrqC2b7HAcrWGRHu0imKvhsxxs3UfXpMdYk6qC7ddQLYeT169mZO8kq/dMklkRJ5Sp\noDqSYK6KPBvGs10W1/eQGktT6QoRzNUpp0KkTqeJz+TJrkwSTlcIZatYAR8nb1hzUXoiQkiQAtsV\nfHN+CEcqbI/kGa+bZC0/l4eLbAiWOVkLcWmohK64HC5HGDFq/O+9c5yshohoNh8bmKblCmwpOFKJ\net379CY/zXRTcjTShQDXxbKcqgW5JpanS2txpBJmxKgyHGhgKA6G6uBXJAHVo+Yut/xcEclz9/IA\n880AN8YznKwFmW8arApUWWx5tSO7i3FuiGe5yLT7fgHHlycBOJWdpmE3mS4uMZ6fI13JcaTdAjak\nG+ybO0ZQN3jfhhtZGe+n1qrzs7G9nfO8ZWgTZ3JzXNa7hvtOeXVaa5NDbB/YQMRvMhztodysMRzr\n5a7D95Ou5nlq+jAJI8J0cYlTmWnWp1YyW1pmtrSMbHdadKTLciX3sg3H+cSvNBxSyhngRiHEemAt\n8P8As8D+dsjqTYeTJ0+y/9ARrNA5lpJAkhQNfEJScjVsFHThUJc+nHZy1oeOjoPdFCQULya5kC2Q\nzuZRhaToatTxERYtggKkhGfn8h4vXjQRgs65E+3FbLlYQaAggKVCGaggAUN4dQ6HJxdRcTGEwEEw\nM78AeK/97f7Q0zXQ0b3irjPz3pcKhbhoIICC9GPz4i6tVkm/bvP8Qog2FREpUS2n/R7eIt/2LrrG\nsyTmvJjx8kgSs2Gzcv8085t6cTQVXEkwW0Vv2FgBH8MHZ737qFuYRW9nHcrWsAwdtdLEMnXm1/cQ\nXSojXElkqczslgGGn54hOZ2nlAoSzlQRErrH0lgBz8tQWw5CermB2GyB7tNpSr1hFtf3vq5zNDMz\nQ6mm/pf9tk1RwBYa6bKNo3nhvUMFA0vx6LiHS0EOlsIgFJ4phhG4OEJjdyGO7tZpqSZIiemUqKkR\nBC6mXaSuBvnBYjeKdEDRUN0Wh9JQ9fm4Z7ELwylT9cXYU4jjd6s0VS/UtTsTwOe2KGteEGJ/3sRS\nvM3MY9korvCBgMm6ge42QDXR3Sb/ePq/7ik+X1OptFsyXwjcOHIFT0wd4rLeNViOzXRxiVggRHc4\nCcvj+BSVycICSxVvI/Pc8ji5Wgn9eRvPdDXPsfQEpuZnVbwfv6rRdCziRoTecJIV0V7+/cgDLJSz\nPD7px9Tbm0Ap6Q0lmS4uEfEHWZMc5kR6kqBu8NaVl3t5PtX3C+yrNxKvRKvquBAij5co727/vDLa\nyUUEK5Qid+k5IlignqXnzE8BUMMJwrU0QroowTj5+BpClXmyXetpGEnPIiw8TaCepRgboW9hX/tz\nSboaeYQLS12bCVfmidoN8ok1iCVP7bWVGiWXvARz6hH0Vpls/5W0/BGMepbeRY+3nU2shXqWlhZC\nAJHSFLbqpxxfTSrzHCDJdl+K4/NTN1IEGjla7Vhn9+xTAOQSa9FynitMapRc7+UvOg+JZ394vqf2\nxaEIJq5aQXSuiFmooVdaZFbE8bUcHJ9KI+THVQWV7hDxuSICUG0Xo+QZg/ByBV/LIZyuUIv4mbh6\nJf5Kk/isZ2SE61Loi+CvNmkGdXwNh4V1KaILJUZ3T7K8uouecS80ojRtfG3DpTUdir0RYgslin0R\nir0RIoslmpEAQwdnqSVM4tMF9LpF10SO9GgXjn5hy5980sbXTryadglH+Ai4NVrSwhJ+/G6VuhrB\nBYR0EXhhQIHEPRsTFwJL6CAEEpWW6sdV2kbTbaG6Xn1GUzE6C39TGsj2511xbg4kAleo3nMhBEK6\n6E4dW9Ew3CogaCoB/G4dXbYw3MqbQmZi28B6tg2s7/x+We8aYkaYgE9nRbSXkN8gXy9zPD2J4fNz\nMj3FmbxHuHjfhhvRfRpHF88AXtvYM7k5+sJdDEa6mS9n2Dv7HIbPT8TvGX+J5MOb386x9ERbGTfB\nZX1rSZoRTC3Auq5h/D5Ppff9m2564yfkeXjZT4AQ4mPAfwcexotG/70Q4q+klP/6eg3u9YDjOJRK\nJVR+sXNZI5AgH19NoJ4l07WBwZknUaWLK3z0z+1GINGbJSrhfiKlGdKpTRRjK4nmzlAO9aM6LepG\nglDVs6X+Vhmz7i1UgXqOpZ7L0VoVIsVpktmTzA1eQyXUx+jYT9DsBqXwMK5QEFJSN7vxN0so0ka1\nPRaEd/4ubNWPFAr+ZgHbDSGkS9/C0wAUoud0KC2fgeUzUVybUmToxSdDup4HZb8xDXkaUYPIUplg\nwTMGLVMjtuDlgJZHu9BrLZKTOWYuG8As1hCOpBHS0Ro2la4gvcc99lqg3MQyNPzVFoXeMM2Qn66J\nLKojKfSGiS14+RDFcTFL3vyF0lUsvw+taWOZOpm4iWo5tII6oUyVmUv7MEpNVu2fphYz8NdahLI1\nIssVckMx/LUWlaTpeT2vI4aGhsjX5vj9tcWX+YkXP65kF5huGIy0WU4nqyEUAXMNP45sssqsE/W1\nuC/TQ0h1uD6e4ftLA0gJG6IWByveYrYlXOPZipcX+WDfMo8Wumi5Cm+J5piom5iqw1OFBA0UtkXy\n9OpNNoQq54VR9fVTUeJDL/HdvQDoDZ9L61ZaNWZLy1w5uJH/9tbbUYXKvSefhDxoio9Ss4IpDa5f\ndTk1u0GXGWPf7HOUWzWmi4v0hdvyNq7N+zbeyMnsNGuTQwT9bY+iHcMbip7LSYQvonqOV7J1+ixw\nuZQyC9BOjv8ceFMZjk996lOerLaAwMRDCAHzA2/B1kwWBq7uHDcxcgtmPU05NMDImZ+i2TUsPUgq\nfRSA1PKzKK6DZtdwFB9ja27FrGWoGUkU16ESGsCo59CsCnWji3xyHWZtmUTe6wERLs1SN7rQbG8R\nVZ0GlVA/QjoE6tmOAVpObaYZiGGrAQZnn0QiKMWGO+cpxM4Zi0qoD0sPIoVCNrWRbKqtX/USgeQV\nEw8RVJpMT09TLBaJRv/r0MFLwSdh6JkZqskguRUJgtkqLUPDMnWE43q72nauoJoI4ipZpBA0ogbM\neLITvqbVMSK2Xuokw4s9YVTLZejwPNmhGIFqi1rMQK+2WPH0NEJCKSVRnXZFbsuhFdDQGxaNiB9H\nV/FXmjQjfpphnWrcZOC5BRQXssNxUmNpVEdiFOvYfu9xMAt1ssNxL+Tl97F4SQ+Ll/Tg+hSEK5GK\nN6e+po0U4Og+ovNFDEd0KoMvNCI+m02hc/ItG0Jlvjw9giMVevUGsi44Wunl0lCJW5LLLLV0/mBw\nAp8C43WDI9UICrA+VObaWJa6q/LdxUEcKbgluczdy/24CDYFS51QruUqXBp+8zcGdaXLM/Mn0RQf\nl/X9cihoqrDI948+BEClVeeWNd668Y511zKSGGC5kufBM/sBeOfaa7Fdh6nCIslglHKrRncwwfs3\n3sTTc8dZnRykO5SgN5zk7uce4fDiaTb3jPKBTTvfuBt+FXglhmMWeP63ogy85gCkEOIW4O8AFfi/\npZRfeMHf/cC3gSuALPCbUsrJV3u9mXbMVAgIV73mP/HcKSqhfiwtiK0H0ZtFpKJSiK9GuDaTq96G\n3qpQNbtZYT9MsLZMJTyAWUuj2TVsn8HI+E/RrBr52AhmPcPg3FPk46P4WkF6l54hXJ5leuVOSpFh\n9GYJIR1WTvyMQnQlinRo6pF2GApsX8ALKQgFn11HuDaKYnmxZ0Bpa9xIBPn4GupmCleolOIjIF0Q\nCkgXn13H1rxdir+Rx1U0LD1EqDSLkC6Bxi9qQW3deq53wCtBxFHQF8tEF8to1RapyRyOKpjb3M/g\nkXlcVWFq6yADRxZQbZfJbUMYpQaBUoPpLQMIV+L4BJGlCqrlUI8GCKcrKG2mldb0PCK9YREoNgjm\naiiWg8RzfR1dZXZzH8FsDVcVlHvDOJrK4LPzCAlLq7voGcsAnmFR2pk5X9OmHjUI5WrUIwHK3SEv\ncZ8KUekKUuoNI4HBZ+epJkysgMbgoVksQ2fxkm6GDs6CIlhc203/8SVAoVh8uZ7CGwsV0IVLXSoY\nisPxipefOF4NUbJ9TDZMBv11Vhk1nigk6dYavC2xzPcXB3GAy0NFqmeVdesmbjvY5BMuO2JZCpbG\nW39Nmjvtmz3WSWL7FJWNPb/Ycuj5FNi61eA/jj3K2uQwG3tG2NQzytP28c7fF8qZTjX5NcObuXn0\nSnpCCVqOzc2rr+Lh8af59sH72NQzysnMFADHlidedFyFRgVTC6CrF14p6uVUjp9lTs0Be4UQP8IT\nNLwV2PdaLi6EUIGvAjfTTrgLIe6RUh573mEfBfJSytVCiA/hybf/5qu95qc+9Sn+5m/+hoYj8SmK\nF49tVliVfgBH0VjquZy+hX1IoTA3eC3983sRrsP08FsZmNuNajeZGr4Bo5FDSkm6axOl6DCjZ7ye\n2oFGHn/T2zkbtSya7TGmjHqGvtmfEyrPkenaQHfaKxYzGnkW+7Zh1DKdUJXtM8jHR6kHkgzOe0WF\nxcgwNTOFFAqqU6dqpkinLiWeO4Vm1Vjs287KM/dj1LMs9F9JtDhFsLpIPr6ampliYG43rlBZ7tnS\nyaUUw4NESrPoutbpVfFqYCPREV4oqOGRBlRHEl4uozgSxXFIzBQIVL24eWK2QGzemyPVdjALdfSa\nRXYojlZv0XsqTSkVotgfwdYUHJ+Kv9oi3x8lnPZCLz7LYfKqlUQWioQyVYSUOKpCsu3BLI92cTZa\n4ms5uIpAcSWWqbO4JoXWtAiUmgRKdRbXdBFdLNN3YplCX4RAuUn3eJZGyI+jKQTzdSJLZUqpEIoE\nf61FdLGE4lFbyPsRcQAAIABJREFU8Lfv62JF0fZRtn3c0T/LTCPAWrPKM2VPVfeKSJHdRa9fx2LL\nj9PWlVq2Asw0TVrtanshoEdvYEvBNbE8/f4mBUvjmlgOTZHMNQJoikRKmG4YJLQWYZ/zkmN6s2A8\nP8cPjz3Kqng/v7HxBvbNHiMVjPE7W/43io0Ke2eeY6ma4/DiaWpWg0cnn2F1fJBb1ryF6cIiK+N9\nnMhMYTk2iUCE7mCCn53ew/6544wmBlmu5JDAkaUz3Dx6JQfmT3TyKs8ujvHY5EE2dq9CU308OLaP\nuBHm9698HwGffkHn5eWYrrPC8GfaP2fxo/Nw/SuBMSnlOIAQ4nt4Bun5huNW4C/ar38A/IMQQshX\nGRO46aab+M53vsPPxxYprnsnQjr0tnMEqmth1tJeOYF0CZXnUB1vUYjnx4mWvB1BIneacMVLgim4\n1IMpipFhhHQpxEcJl2bRrAqZ1GZUu0EiP0YxOkz/vGdnY/lxKqE+QpUFakYXKyY9t3c5tZmamWLl\nlNd8qByq4goVRTpYWpBSdAV6s0TPsld32SpOECtOAl7ozKx7u+poYYJgbRmAUHket93rWJEOWuuc\n01gP9lIv5rhmqPc1iSGWVMniFStohvworkSqCs2Qn1JPmEClhasqZFYlMQt1VMuh2BMhslhGcSWO\nT0Gvtatmyw2MYh2AYN6j35qFOrVogKV13aTGsxR7wyBB2K7HrqpZBKotAtUW+QEv1CYFuMKr+bD8\nGsJ1qcaNDgXYZ7lkVsQJFrxrhbJVAmUvF2K23wPwV5vkB2ME83WsgI/syjiBdvJ9aW03quUgFYWl\ndd1UkybRwzOsepXhvtcLRcvHP8+toCUVro9nWG1UmWiYXB3Nc03Mk0JPaC0OlqNcGiqhKZJHckni\nmkXZ9jHkryEEXBUtcHMy0zlvUitSsVV0xeXupT7G6iGSWpMRo8b+UhxDcfj44OSvLFC8GHHl4AZ8\nioqm+tgzcxTLtTmVnebHJ57kuTYN985tt6EYgrDfZKmaI6gb7Js9RrlZ4+DiKVbUe5kqLnIqO80f\nv+U3+Y/jj/GTU09xYOEElab3HTuTm+VtI9t5avpZLu1dzXUrt9ATSvDIxAFajsXhhdPkG2Uenciz\nMub1lsnXy+TrpU6O5ELh5dBx//J1vP4AvxjumgWueqljpJS2EKIIJIEMrxKVSgUTi5ziQ7eaVIK9\nSKDpj1IzexDSwVV1lrsvRbPqKK5FtmsDRj2LZlUpRYbQ7CqBRoGGP8bQ1CMIPCZT/9xufE6LYnQl\nscI40cI4ueR6Com1BCuLhMuz1ILdaHaNuf6rcX068YJnj0U7+OIKBUW6WHqIM/1XEqhnGZh9CiV7\nnGJkRZsZI6iEBwiXZ1Edi1JkGAQYtQy5rvVUG31EipNkuzbS9EcI1HM0AnEKsRF8doOmP0o51Ecv\nhzs9LV41BJ2qbweYu+ycts6ZHefc/NPXn2u/eibkR6+1KHeHsAydULbK0poUZr5OfCZPbkWC7tOe\n8fNXW14RX7WFBMqpEJFMlUimyvKoV3vRMjVwXMpdQephP73t0FRmRYKuKY8u6WoqPstbyLS6RSUZ\nxCjUyA8nKPY5RBdLZFYlkYogOZX3WFZ9EfKDMa9aXfdx6oZzDXamtp9r7Vnqi6IfnT7vMhGvFUXH\n1/Ea5hoBnsgncRFcHcnRcFWmGgY7ExluiGcZqwXZGCrzO32z/N30CC6Cfn+dO/o8yvNk3eBgOcqG\nYJmllp8nC0l69QZ119t05C2dTFvTqu6q1Bz1TWk4FKF0dv2O67BcyTOS6CeotWXmheDxyYOcyEwR\n0gzeve46lio5Wk6LpWqOlbE+tHY4SSBQFJXlqmeklyt53rluB09NH2ZFtJerhjaiqT4eGt9P3Wqy\nVMmxVM0xV0qztW8d+YWTrIz1sXNkG/eP7WEw0k1v6MLXXr8SVtUjvEjPDSnla+GFvdhT9sJrvJxj\nEELcCdwJXr+Ml8LBgwdZXl4mokD30iHi+dOork0uvoZweY7u9BGK0ZUs9F+J4lhMrzqXpBpb824U\naeOqfkqxVfisGqrb6uz6hXRQHW/37LNqmLVlBBAtnPEYVeUZcom1RAuTqG4Lo5ZmZsWNlEMDNP1R\nIsVpUumjFKIrqIQHqQZ7SOROY6s6SrtkRgrB6XXvBQSOL0A11Ifi2tiaSSm+qkOJrBtJamaKlh5m\ndOwnqK5F3UiwcvIhVLdF1ewmWprCr1jMz88jpTyvi55iOwwfmEVrWMxeNoDt96HVW9TiJghBM+yn\nGfbqDjKjXWRGvR1UPW6SHfEejFZQJz5TID8QIbZQJlBt0Qz5aUT8RNIVbE1FOJLMqgRSQPe4ZyDO\nJrkB7IDaCVOVUyFapk6g3GB5XTdCghXwdei1+RWJzueqXaHOa9V2GXh2nmJ/lGL/xeVRvBgqtoqp\nOijCK+jbEcuSs3TWB0uMnRUutHVO1bzXPy/Eydk6DVflWDXEHf0z+BWXuqtiKg7jNZOE1uLH6R7K\njsapWpBUW059sRXg1q4FjtfCrA+W6dGbPFFwiftajNWCCKokdeuCzcVrxdb+S9jafwkAlmPTG07S\nZcZ4oF3gV7XqHFse50x+DoHgnWuv4Wdje4n6g+wc3c5kfp6/feLf2NA9guVYrIr3c1nvao6nJ3hm\n4SRz5TS269BybJ5dGmPbwHqWqjl6Q0nefcl17BzdTlAPoAiFj2+/eDp8vpIsy2ee9zoAvA94rTzO\nWTwJk7MYBF7YuPjsMbNCCB8QBXIvPJGU8hvANwC2bdv2kmGs5y+OinRQXe8WNKtKoOGd1qilWTn+\nAGY9w3L3pSiuRSJ3mlxiHcXYKuJLh6iE+qmbKeL502STl2BpQRr+GE09it4qk+taTzx3mmjhDLnk\nerrb4aVIcYqa2UW4Mk8jkGB48uG2pyHxt7y4v79ZYn5oFYPTjxMpTSMRLHVvwec0yCXWksiexPYZ\nFOKr6Uo/h5Au2eQ6Vkw+hGbVmBu8lr75vficJoXoClTXe3D1VhlxNsEuHWTbJr8eu+Rgpkoo6+Uj\nkhNZwmmvyG95dReNkJ9gvkZmVdKrzVgqUxyI0gz5f+EclVSIYK7KigOzFPojjF2zEqkImqEA5Z4w\nwUyV3lNeAWNu0JMRlwJyQzFqcRMpBKWeEI2QH8vQ0esWwZkCpZ4w0YUS3WMZLL+PsetGfqk2I5it\nkpzMUeyN0HtiCa1pE0p7cikXc7nzI7kku4sJ+vQGV0QK3JvpIe6z+Ej/DKqQvCO5RMbSuTKap2z7\nWGgFWBessKed5xDAD5f7iPgsrgl5Se/vLQ3gFw4pvUXZ0Yj7LK6L53gkl2TEqLExXGFjuNKWLglx\nfTzL9xYHKNgaT5difHJ48oLOyfmCpvo6nsh7LrmOJ6YOMZoYYCLvLVk+ReFMbg7bdcjWS3SbcR5q\ns6umC4usS63gZ2N7Obw4Rs3y2JTpap6dI9t5ePxpLkmt5N3rdrBjxWVE/EFURbmoKLjPxyspADzw\ngreeEkI89hqvvx9YI4RYhZd8/xDwQlGZe4CPALuB9wMPv9r8Bnhd/Hp6eji9kGOx9wrqRhKjniHb\ntZFQeZ5IaYpCdBUD7aR0uDSDv1lEkS6J7AmClQWMRo54/gyl8ADRkhdpW05tZuXUQ0gEM0M7WDGx\nCyEdple+DctnoNoNwuU5amYXPqvOQt82KqF+Rsd+gpCyExoLVhbJdG0gVJrtuFVSCFr+MHWfZ6i6\nMh5rw98skmgX+SlOA387fxEpTuBzvJi9z2mx2LeNQD1HuvtSsnadUHmeQtzrfdxz4l42DPacd+NR\ni5u0DK3DXDpLtTWKdVJjGQSgV1te3sN2iS6WyA3F6JrMkR+MsbzW46/HZwoIID5fQnFcoksVKkmT\nyatW4muc27fYfpXsijiF/hihTIVQpkJ6tIvVP59Ar1nkBmOY+RqB9jUrSe+B1Jo2WsPG0X3o1SbJ\nyTyVriB9xxfRaxbh5TKVRBCtadMMBy5qowEwVvNChgutAMcrYSSCnK3z80KcfaU4Sa3Fb/XNcrwa\n5tpYjmGjTsNR6NWbpC0/joRH8p6iwohT6zRkakqVnYk0TVflRC3IE/kEb0+mOVEN8T8nR3hLLM+J\naoilVoCgauNrf3svDnLy+UdvONmhzG7qGWVVvJ++cBcNu8V8OUPYb3q5ocGNPLs4xuX96zpsqcVK\nlt/c9DYOL55mU89oJ79xFgnj4u/m+UpCVYnn/aoA24DXpL/Qzll8EvgZHmPwX6WUzwkh/gp4Wkp5\nD/AvwL8JIcbwPI0PvZZrgtf5rUYZFJVifJRiexHNJ9eST3p9hAONPKHKPJnUZszaEoncafKJNeit\nMjTAUXRsX1seQCj42vUYAkm4PNdhU8Vyp4gVJhDSZWZoB0MzTyKQ+K0yji9AJdhHMxBFa1XoXn6W\nfHw1ifxpwuU5LJ/BfN92VNdiaMbrGFiIrvTmDmjp5+Lt1WAf/lYFzaqS69pALdiDWcuQ7t5My38u\nvGLpIermOamVGlpHP+t8wvH7OHXDaq/uQfXYYoFyg8zKBGbeMxa234erKqi2i6sqdI9lUG2X1JkM\nhf4oWtMmszJJajzjVXS3azuCuRpIic9yKHaHqCaD9B1fQgC+ukV02VN6VU4sn0u8lxpUEyaBaot6\n2E+xx5u7WtTAzNdQbJeek0sE83US0zkqySB6zaJp6kxfMYhRatKI+F/0Xi8mvDWe5fF8ktVmlVGz\nSj6j0aW1SLf8SAQZy89D2RRHq97idHNimV25FAL4cN8spuKwu5jAkoKGq4CUrDPLKEh+Xkyw3ixz\nqOx5d4/nE8w2PQP8dCmGv81zdqTgw32znK6FWPsm7PT3SqGrWiecBXD7lnfw9X13891nH+CmkW2E\ndIPHJw9yac9qTM3PutQKNvaM/BLN982EVxKqOgAd6ryFp5T7ylukvQBSyvvwen48/73//rzXDeAD\nr/U6Z3Hw4EGmp6eJIsnh5SJsX8CrfXgelvq3s9R+XY4Os9TntXcUjkW4Mk/dSGJpJnWzm5Y/SksP\nghC4io+K2YtRz6K4HhvqbP2FWc/RCMQwGnkagTgDM08hkNSdBoG6FyaLFKew2vpDPrtBKbaKaGG8\nM6660UU5MoztC1APdlMzU945zJRXx3H2ODNF/nk5NNVu4CoaUlHRmmWk4klEhEWrI8h43iEEUvV2\n6GdzGABnrllFoNyg3B1Ga3ghIFcRhDMVootlyqkQq58cR3ElS2tStEydxGyBYk8YvW5RSZj4Sw0G\njnh1OMKVSOHpXrk+hUZQJ1BtUU2alHtCGKUGUggSMwVyQzF8TZuBY0tekWJAo3vca+ZUPZvg9ynM\nbunHX2nRCAeQPpVa4uIMGbwQ64JV1gXP/T8/MegxASfqBvmMRo/exFTPeWoZS0e2g6Unql6Hv5iv\nxY5ojh+kPZLDqFHhTD0ECAqWRlJrkbV0Rs0aCc3maCXMlnCR9cEyx6th1ppVUrpFSs+/kbd+QeFK\nl2ytSNyIUGpWO7Ln6UqedM2jiBcaZT627dYLOczzhldiOP4UuF9KWRJCfA6vC2DtV3zmosPnP/95\nbNvGUGBg6hGi5TlqZqrNiNpDw0iw1HM5A7NP4ah+L1+wsA/hOswN7cBn1UC6WJoJQqH0vMrtxb5t\nrDrzU7oyx8jHRilFVxAuzVAOD3iictVFFNdhZnAHlXA/q0/fg2Y3aGlByuEB4rkxcsl1NPxRktnj\n7RzGUYKVRQrRlVh6iEJijbfotxEtTBCsLrHUuxWjnm2zuLzdT2r5MOXwEA0jQd/CflpaiHT3Zvrn\ndiOFSiMQxxQ2S0tLpNPpX2hN+3JRKBRIWgrKiSX0hk1hIEotZhBdKFGLGTQjAYx8DTugYbVlylsh\nP612PqMV1PHN2R2l3LFrVqK4kkjbawiUGh29Kr1uobYcUpM5tIaFqwoUR9IK+ZlcncLMVknM5FFb\nDjOX9pOcymEWGxR6w0QXy57u12IZW/fmT2tYKI73gAsJi5d0U6i0qEcNHF2jlmjLqrvtgIsiCJQa\n+Jo2lVSIyEIRs1AnsypJdKFEwlZePyP8KuFKeCyfpOz4+J2+WWwpKDs+Ij6HiM9iRaBOw1VRkNQd\nlarjo+r4qLsqunBoSZVU21AUbJ2E1uKaWI6g6jJZN6jYPn5/cJL7s908VUhwfTxLn//8NAt6M+H7\nRx7iWHqClbE+fu+Kd/O20SspNMqex+E3mSwscNPINhzXZc+M16Tp6qGNKEKh1SbU6OrFJ+P/Ungl\nhuP/klJ+XwixA69g74vA1/ll+uxFjVgsRj6fR0ow2rt8s5bu1EuYtTSJ7Al0qwpW1Vu4q57v0ZU+\nQiw/jkCSbpYASaBRYKn3clr+KIprYzTy7XMuEy1OoEiXRiBGpmsjg20BwnBljlT6CI6ike6/jGqw\nB4RCpvtShGOx5tR/4nOaSOHr1ItIRWV+aAdIl8GpxwjWlkh3bSKZ8+ThU0uHMRo5BJLU8mEc1Y/P\naREvnKFieYuZblUIVRbadSrnirOEEK8qXNVoNMjlcmgIUuMZBILIfIGWgIAUuEiqQhKWCi6SguoS\ncxQkkPW5+KUACZoEUBASUnvOgBCUFVAlNDMFqorA7wqalSpR16MiBxdLZH0uQSGITWbxT2dwBOiO\n5zkmjsxiSAEIwoslaorEcAV1x8JqtJBC0BRgpwuUFYEtJLE9Y7iABgRdgSvAEpKE7Z2z2B6/QFAR\nLkEpEAhCE1kC3qx2ukFeKBQtH7ridtqzjtWC7C56UWYp4WQthC0VbkkuM2rUkMB7u73K5om6yela\niLDP5mg1TMRncXU0zeZQmbfE8ozXTO7N9HCyFuatsQyPFzwvMm/7GK973tqRSoRrY//reBpnMVnw\nvN/p4iI/O72H09kZdo5uJ6QbBPUAQS2A36dxYP44Pxvz8qd+n0ZfqItvPvNjJPC7W9/JQOT89Mt4\nvfFKDMfZleadwD9KKX/U7tHxpsJXv/pV3vWud5EvVZGmjhCCJipWOectFCjYhUVcAS4CNz+PK7z4\nnJKdRrS7moWWj2GItsJqaR4BaLjUpYoqJI1GHZ9wPVXSeonQ9D4c4SWH9Nw0AcX7bHT2afra58m3\n5c9V0QQB/vI8NgKfkIhqjpVH/p2mVIi0Jd0TiwexEGhC4tRKNIVCQDi0bAfHaqALaKLSLOfwC4GF\nQjO/SEOouEC5WsFpNomHg69KpyoQCCCEp8/k4iWpHM7xpwWejhWAgiDgnhWQh5AjOj3Ay8Klqri4\nQMT1Fuaq8EQtUo5CRZGUVRfTVagLiQK4SFTpGSgFQciFtOpitblilpA08IyPKyS6KyiqLoarEHYV\n6sJFB2KOioWkrkDcUXCQ1IUk1B5bTbidMftdz1B493MOLpKWAF2KC1rHcbQS5p50DwHF5SN905yq\nhWm5AhUXBwVdcbHb9zXVMHg0n8SRgg/1ztGrN3EkfHxwkqmGyT1pL3252AqwiTJzzQAtqXTk+XOW\nhiZcLKkQ89lsCRc5VQ1yVeSc0XiuEmaibnLl/8/eeQdYUd7r/zNzei+7e7Y3YFmqVOkYQGxErFwV\njYrGRrxpahKT+9MYojHGiImaiBqjEeOVaCxRsIBIEZAuUhdY2F5P721mfn/MMmju9SYWRNTnnz0H\nzjk78+6c+b7v+32KK4TP+MVW138S5KQ8XfEAJfYCvjlwEutbdzK4sIYVh1Qm1cpDW/DZPKzoY1bl\nZIkxZfXa+006A4dC7WT6VhyNwY4vZeFoFwThEdT42Hv6PKSOT27hp4DFYkEURSRZJouetHJ0CHo+\n9FjHkVtgj2JBQPWGQhbQCTIpRY8JlSsvKSI2Ud031qEgouAS8yQVHVlZh03I4hZlsopAUDFiQkJW\n6CPhChpRx6BIGAWJDCKyIpBTREyCRFzW4xRyiAKYkMgoIkZkUoqBFDpERS1yKAqCgkazTSh67RwC\nHzi3sHK0yZvPfzpbiJqaGja2HsQ/bbCq8vZY0eVlPC0hEl4rWbuR4n09mpK8emsrsk4kVO3Fulud\npaVripANIkmXBcfmFgBypW7NlsRkNmLJy+glCVkQSHitOAJJLDJE+7ah4kV2CkIpRGQ6B/kobehB\nUCBY7tLyPUw2K6Y+hbhBrydv1EMiiwGBdIEdehPoEMhUerG3qDdA/4hKivrs2FtHV+DqjGJI5+mp\nK0KfzmGOZYiWqI1231u7GVd5VOT4eaMlbQEE0rKOdeGCDzXAi4xZKk0pjKJCLK+n0Jhhb0I97sMp\nKxsjHvYn7Th1OeaWtGEV82Rkkf6WBG8Eitgec2MSJEbaw6RkPdO8QSa5Q/hzRuqsCURgViHkZIHm\nlAWHPs8/eotREAjkDFxZ1nbcxuVY4an3ltEc7qLGXUqVu4T2aC8oUO4ooj3WS11BJXajBZfJRiST\nwKI3sq7lfQYX1eCzefoS/VxUuooRgJHHKVvjk+DjFI6LgDOB3yqKEhYEoRTVMfeEwhETOo/DRkfF\nSAy5BLZ4J73FI9DnU7hDjYQ8daQtHjzBAyTspSTspf/rZwXzKQy5JFmDncqW1VhSAYIlR72gsHro\nqD2d+n3PgZxD1JvwIqOT8kTtFbRVnaI2viOHkXUmUmaPZifSWTYOX9c2dLKMQa8nq3dhzkTIWgvo\nKR6JJBpIW/932wFBlhDlHJLejD3ahi3RRbCgHkvSjyd0kJB3IKKUoaRzC6LDiiAIpNNpLUnw46C9\nvZ2ivIh5RwcZhwlTIkugtoCe+qMzp7ZRFdrj/dOPfjlkg4iYkyjZ241OVkh4LLSMLMfdHiFtNxEq\nd+HsjhGo9mLzJ3D2xkm7LFrUqywKyKJA2mYgZTdpPlbWSFrzqRKAlNOMJZomVuwkUi7iaQsTLnGS\ncZgoavSTsZuI+RyIkkLaYaZzsI+kx4pk1BEvshP9gOjvg01+yahTRYyCgLcpiCcv0tLSwvLlyznt\ntNM+9lh+WkxwhQjnDDj0eUqMaa1w9GRNLA/6KDWmmebp5RV/KaGcngpTimxfcWhIqGLAmKRnQ8SD\nrAhM9QTpb02yOaqyqDKKjgnuMF5DjndCXjoyZr7h8fNSTwkNSTtT3UHaMmYOp2wU6jNYRImkrMel\n/3xs+z9vdMb82s9UX/xBe6yXmybPZem+daxr3oFO0PGd8XMIpWL8ffdKepNhuuNBcpLUR93t5arR\nZ5PJ5whn4jjNtuN5Sv82Po6OIwm88IHnnUDnsTioY4nGxkby+TyCAM5IE464Kt4Ru7ZiSkcQFQlL\n0k/G5MKa8uMN7KOlegae0EHi9jIi7lqsyR6yBjt5ow1LMkDNoTeQ9GYaB5yNM9pCxFmFXsoiiToG\n7/lvos4KZJ2RmKOSyhZV+qKXMxQE9lDcF/B0uPZ09PmjPkmKAlmjE0s6SMbkIuKsxJhNkDNYqW5S\n9SJN/U7XqLWWZC+GbIK4rZh+h97AkIvTXTya4u7tCCiYU0GV6aVImFNB8garpkbP5XIEAgHKy8v5\nOAiHw2SzWQQEHL1xnL1qQ1sRBIoa/SiiQMvoCsp2daLPSbSMrMDTFsYSSdE5pIRImQtBkilp6Olr\nQKsbQc6+z+qq9xERBWzBJB1DS4gEEgiyQqzEQbzQTl4vUv2e2gOSwilC5S702Tzdg3xESxxq+FMq\nR7jMqVqoHwoQL7IRK7JTcqCXjM1IpMSBrzGAqzPKwan9yNrU1diRVYQuk6fyvXZAoWNoKRXvd2BI\n5WgdUUbxQT/WUJKugUWUNvQCApIksXjx4uNSOLyGHJeW9vXEFLDpJIyizLqw2uPozJrZGvMQl/TE\nJT3jnSE2Rt0801XB2YVdHEjZqTEneNWvTpS2RV1kZBERhcE2NUf8rWAhQ20x1oRVyl5Ogea0erN7\nP+7UTBJDeQPXVzTTmzNRaznhODQawqkYkiJTYP2fW7nnD57Gts4GxvRRcVc0bqLaXYbVYKYhoK6c\nt3c2kJPzNIU6KbZ76U2GKXcWMaZsEC2RLnw2D22RHpY3bkIAvj3mHKrc/1PlkJPyRDJxCq1uIuk4\nBwNt1BVWaiFQnzeOvz/v54zhw4djs9kIx5MECodizMYwZWMkrT5kQY8t2UPKUqDRcxVBT3HXVizp\nEM5IE6Z0kMLAPiTRQGPdbByxVkRFRswlKe7ahjOmCgKba07VVOH2eBfdJaNwRpvpLB2LLdGNpDNg\nzBw1HHRGmnFGm4k6ysnrrZR1biKnM9NaeQr6XILSvlVMzKHe3AUU9LkUKDKmTISaQ28ioBBy12LM\nqTdwW6ILuS8CVNKbSFkLsSW6SVkLSdhK8HVvR1HA43Z97KIBKtFAp9MhSRI5sx5jOo8CmKMpzQq9\noCmoRboWHg5oQkDfgV5knYglmqZ7oA9LOIUgy+jTR+0pjIks3jaVyijpRVwdEUQFArEMPXVF2AJx\n0nYj5niWeIGN3roinF0xqje3EvPZVUZWLIMjmCRtN2FKZjE1Z0k51ZWVKZHVnG1FWcGYyJI36jHF\nM9RsakYRBUIVbk0BX3TQr5kgFjQFVT0J4OyOkbEYMKXUY586derHHsvPGoIAQ+zqdSArAm8FdVSZ\nU9Rb4xxOWXHpc2RktaGfUwRCeSM2UaLAkGOQLca+hJ1Kc0prrA+2xtiXVItpQhKx6fIkJD3lpgxe\nQ559CTvjnCEKjVm2Rd0MscdwG/K4DSfuaqM10s2ft76CrCjMPel0BhVVf+j/P6jFiGeSZPI5tnbs\npdRRwLjyIezsbmREyQDWNqu7CHpRx/cmXoRJZ8So01Ph8hFNxzW6rgIk+hTlH0Relnhk84v0JEJM\nrBxOg7+ZYCpKkdXNdydedGwH4SPwlSscBoOB4uJiGmNdJO3FHOo/C2MuQcbsRpAlTOkQGbMHQZFw\nRlpI2ooo6tmJJR0ir7dizKpfRp2cwx5rQxINZIxOckYbGZNTSywxZqJEnVXYE52EXbWaM64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of7qfCVKxynnHIK27dvJ6cISEfcKAVBdb1F1Ue4Q424oqqAR9KbKQjsA6DbN5KCwD70Uppu30gs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\n+fLLL/H19bUWnNarV69a/93rN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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ " OLS Regression Results \n", "==============================================================================\n", "Dep. Variable: sub6 R-squared: 0.074\n", "Model: OLS Adj. R-squared: 0.069\n", "Method: Least Squares F-statistic: 14.70\n", "Date: Sun, 10 Dec 2017 Prob (F-statistic): 1.56e-18\n", "Time: 20:10:31 Log-Likelihood: 675.27\n", "No. Observations: 1305 AIC: -1335.\n", "Df Residuals: 1297 BIC: -1293.\n", "Df Model: 7 \n", "Covariance Type: nonrobust \n", "==============================================================================\n", " coef std err t P>|t| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "Intercept -0.1618 0.084 -1.920 0.055 -0.327 0.004\n", "mean_gm 0.4093 0.107 3.829 0.000 0.200 0.619\n", "tiv -5.507e-08 3.31e-08 -1.661 0.097 -1.2e-07 9.96e-09\n", "age_scan 0.0007 0.001 1.102 0.271 -0.001 0.002\n", "gender 0.0054 0.008 0.647 0.518 -0.011 0.022\n", "AD 0.1081 0.012 8.775 0.000 0.084 0.132\n", "sMCI 0.0181 0.010 1.743 0.082 -0.002 0.038\n", "pMCI 0.0850 0.012 7.050 0.000 0.061 0.109\n", "==============================================================================\n", "Omnibus: 19.646 Durbin-Watson: 1.913\n", "Prob(Omnibus): 0.000 Jarque-Bera (JB): 20.163\n", "Skew: 0.290 Prob(JB): 4.18e-05\n", "Kurtosis: 3.186 Cond. No. 6.06e+07\n", "==============================================================================\n", "\n", "Warnings:\n", "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n", "[2] The condition number is large, 6.06e+07. This might indicate that there are\n", "strong multicollinearity or other numerical problems.\n", "############################################################\n", "F test on full and reduced model:\n", "############################################################\n", " df_resid ssr df_diff ss_diff F Pr(>F)\n", "0 1300.0 29.296882 0.0 NaN NaN NaN\n", "1 1297.0 27.144934 3.0 2.151947 34.273746 2.566440e-21\n", "############################################################\n", "Pairwise post hoc t-tests between groups\n", "############################################################\n", "Multiple Comparison of Means - Tukey HSD,FWER=0.05\n", "=============================================\n", "group1 group2 meandiff lower upper reject\n", "---------------------------------------------\n", " AD CN -0.0916 -0.1214 -0.0617 True \n", " AD pMCI -0.0172 -0.0503 0.0158 False \n", " AD sMCI -0.0752 -0.105 -0.0455 True \n", " CN pMCI 0.0743 0.0442 0.1045 True \n", " CN sMCI 0.0164 -0.0102 0.0429 False \n", " pMCI sMCI -0.058 -0.088 -0.0279 True \n", "---------------------------------------------\n", "Test Multiple Comparison ttest_ind \n", "FWER=0.05 method=bonf\n", "alphacSidak=0.01, alphacBonf=0.008\n", "=============================================\n", "group1 group2 stat pval pval_corr reject\n", "---------------------------------------------\n", " AD CN 7.6802 0.0 0.0 True \n", " AD pMCI 1.1761 0.2401 1.0 False \n", " AD sMCI 6.1433 0.0 0.0 True \n", " CN pMCI -6.7762 0.0 0.0 True \n", " CN sMCI -1.7688 0.0773 0.4639 False \n", " pMCI sMCI 5.1066 0.0 0.0 True \n", "---------------------------------------------\n", "############################################################\n", "GLM results for effect of APOE4\n", "############################################################\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/Users/AngelaTam/anaconda3/lib/python3.5/site-packages/scipy/stats/_distn_infrastructure.py:879: RuntimeWarning: invalid value encountered in greater\n", " return (self.a < x) & (x < self.b)\n", "/Users/AngelaTam/anaconda3/lib/python3.5/site-packages/scipy/stats/_distn_infrastructure.py:879: RuntimeWarning: invalid value encountered in less\n", " return (self.a < x) & (x < self.b)\n", "/Users/AngelaTam/anaconda3/lib/python3.5/site-packages/scipy/stats/_distn_infrastructure.py:1818: RuntimeWarning: invalid value encountered in less_equal\n", " cond2 = cond0 & (x <= self.a)\n" ] }, { "data": { "image/png": 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zZw4PP/wwTqeTgwcP8u9//xuj0UhVVZWbz0a6Ug0cOJCgoCBMJhOJiYnY7XbM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\nlcGPkSNHs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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ " OLS Regression Results \n", "==============================================================================\n", "Dep. Variable: sub6 R-squared: 0.014\n", "Model: OLS Adj. R-squared: 0.010\n", "Method: Least Squares F-statistic: 3.685\n", "Date: Sun, 10 Dec 2017 Prob (F-statistic): 0.00258\n", "Time: 20:10:34 Log-Likelihood: 634.63\n", "No. Observations: 1305 AIC: -1257.\n", "Df Residuals: 1299 BIC: -1226.\n", "Df Model: 5 \n", "Covariance Type: nonrobust \n", "==============================================================================\n", " coef std err t P>|t| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "Intercept -0.0294 0.085 -0.345 0.730 -0.197 0.138\n", "mean_gm 0.0275 0.102 0.269 0.788 -0.173 0.228\n", "tiv -6.253e-09 3.37e-08 -0.185 0.853 -7.24e-08 5.99e-08\n", "age_scan 0.0001 0.001 0.212 0.832 -0.001 0.001\n", "gender 0.0003 0.009 0.038 0.970 -0.016 0.017\n", "APOE4_bin 0.0356 0.008 4.282 0.000 0.019 0.052\n", "==============================================================================\n", "Omnibus: 39.494 Durbin-Watson: 1.927\n", "Prob(Omnibus): 0.000 Jarque-Bera (JB): 42.516\n", "Skew: 0.420 Prob(JB): 5.86e-10\n", "Kurtosis: 3.277 Cond. No. 5.65e+07\n", "==============================================================================\n", "\n", "Warnings:\n", "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n", "[2] The condition number is large, 5.65e+07. This might indicate that there are\n", "strong multicollinearity or other numerical problems.\n", "############################################################\n", "Pairwise post hoc t-tests between groups\n", "############################################################\n", "Multiple Comparison of Means - Tukey HSD,FWER=0.05\n", "===========================================\n", "group1 group2 meandiff lower upper reject\n", "-------------------------------------------\n", " 0.0 1.0 0.0354 0.0192 0.0516 True \n", "-------------------------------------------\n", "Test Multiple Comparison ttest_ind \n", "FWER=0.05 method=bonf\n", "alphacSidak=0.05, alphacBonf=0.050\n", "===========================================\n", "group1 group2 stat pval pval_corr reject\n", "-------------------------------------------\n", " 0.0 1.0 -4.2882 0.0 0.0 True \n", "-------------------------------------------\n", "############################################################\n", "GLM results for effect of subtype weight on amyloid (AV45)\n", "############################################################\n" ] }, { "data": { "image/png": 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kV/WnGcmmeOzYFO+7fnPVJKtmGhBVS9YazqbozyTqHkerx9qbsnh+bJbZkuql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\n3Xu2syYRcSa6zIVItKNn50h5KfZ+cqQfYVR4zPzH+bvORDS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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ " OLS Regression Results \n", "==============================================================================\n", "Dep. Variable: AV45 R-squared: 0.293\n", "Model: OLS Adj. R-squared: 0.281\n", "Method: Least Squares F-statistic: 25.47\n", "Date: Sun, 10 Dec 2017 Prob (F-statistic): 6.29e-33\n", "Time: 20:10:35 Log-Likelihood: 117.18\n", "No. Observations: 501 AIC: -216.4\n", "Df Residuals: 492 BIC: -178.4\n", "Df Model: 8 \n", "Covariance Type: nonrobust \n", "==============================================================================\n", " coef std err t P>|t| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "Intercept 0.8409 0.209 4.022 0.000 0.430 1.252\n", "sub6 0.0633 0.067 0.950 0.343 -0.068 0.194\n", "mean_gm -0.1687 0.247 -0.682 0.496 -0.655 0.317\n", "tiv 8.849e-08 7.33e-08 1.207 0.228 -5.55e-08 2.33e-07\n", "age_scan 0.0026 0.001 1.869 0.062 -0.000 0.005\n", "gender -0.0447 0.019 -2.409 0.016 -0.081 -0.008\n", "AD 0.2641 0.027 9.684 0.000 0.211 0.318\n", "sMCI 0.0506 0.021 2.450 0.015 0.010 0.091\n", "pMCI 0.2909 0.030 9.583 0.000 0.231 0.351\n", "==============================================================================\n", "Omnibus: 24.481 Durbin-Watson: 1.907\n", "Prob(Omnibus): 0.000 Jarque-Bera (JB): 27.367\n", "Skew: 0.510 Prob(JB): 1.14e-06\n", "Kurtosis: 3.521 Cond. No. 6.95e+07\n", "==============================================================================\n", "\n", "Warnings:\n", "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n", "[2] The condition number is large, 6.95e+07. This might indicate that there are\n", "strong multicollinearity or other numerical problems.\n", "############################################################\n", "F test on full and reduced model:\n", "############################################################\n", " df_resid ssr df_diff ss_diff F Pr(>F)\n", "0 493.0 18.407777 0.0 NaN NaN NaN\n", "1 492.0 18.374082 1.0 0.033696 0.902262 0.342642\n", "############################################################\n", "GLM results for effect of subtype weight on amyloid (CSF)\n", "############################################################\n" ] }, { "data": { "image/png": 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IrsV2PS7OFSm5HgeHM7zjpVfULa6rnMI4m7dVmxIkccskb7t4EvrTFru2pPXkwRajJz1u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\np/HG1XTVUvr15D6U7+RcNVncs/0KKi+9a/8kkyNx5tO5Fb3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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ " OLS Regression Results \n", "==============================================================================\n", "Dep. Variable: ABETA R-squared: 0.251\n", "Model: OLS Adj. R-squared: 0.238\n", "Method: Least Squares F-statistic: 19.30\n", "Date: Sun, 10 Dec 2017 Prob (F-statistic): 4.15e-25\n", "Time: 20:10:35 Log-Likelihood: -2483.6\n", "No. Observations: 470 AIC: 4985.\n", "Df Residuals: 461 BIC: 5023.\n", "Df Model: 8 \n", "Covariance Type: nonrobust \n", "==============================================================================\n", " coef std err t P>|t| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "Intercept 228.8076 44.876 5.099 0.000 140.620 316.995\n", "sub6 -48.9878 15.778 -3.105 0.002 -79.994 -17.982\n", "mean_gm -57.3557 60.622 -0.946 0.345 -176.486 61.774\n", "tiv 1.99e-05 1.86e-05 1.069 0.286 -1.67e-05 5.65e-05\n", "age_scan -0.5127 0.340 -1.510 0.132 -1.180 0.155\n", "gender -7.6708 4.704 -1.631 0.104 -16.916 1.574\n", "AD -66.6136 6.852 -9.722 0.000 -80.079 -53.148\n", "sMCI -30.2539 5.754 -5.258 0.000 -41.561 -18.947\n", "pMCI -53.5007 6.914 -7.738 0.000 -67.088 -39.913\n", "==============================================================================\n", "Omnibus: 18.845 Durbin-Watson: 2.070\n", "Prob(Omnibus): 0.000 Jarque-Bera (JB): 20.055\n", "Skew: 0.499 Prob(JB): 4.42e-05\n", "Kurtosis: 3.172 Cond. No. 6.08e+07\n", "==============================================================================\n", "\n", "Warnings:\n", "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n", "[2] The condition number is large, 6.08e+07. This might indicate that there are\n", "strong multicollinearity or other numerical problems.\n", "############################################################\n", "F test on full and reduced model:\n", "############################################################\n", " df_resid ssr df_diff ss_diff F Pr(>F)\n", "0 462.0 1.092506e+06 0.0 NaN NaN NaN\n", "1 461.0 1.070129e+06 1.0 22376.835295 9.639698 0.002021\n", "############################################################\n", "GLM results for effect of subtype weight on tau (CSF)\n", "############################################################\n" ] }, { "data": { "image/png": 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Au4Btwd9HgH1NGsMVx1L7ZBphpZRBEQRhmlp9Io7WelgpZSmlLK31U0qpTzdjAFrrp5VS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\nF7sHSLPOv5zaR1zuvimiiVwGGlmhmEq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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ " OLS Regression Results \n", "==============================================================================\n", "Dep. Variable: TAU R-squared: 0.183\n", "Model: OLS Adj. R-squared: 0.169\n", "Method: Least Squares F-statistic: 12.58\n", "Date: Sun, 10 Dec 2017 Prob (F-statistic): 2.46e-16\n", "Time: 20:10:36 Log-Likelihood: -2440.4\n", "No. Observations: 457 AIC: 4899.\n", "Df Residuals: 448 BIC: 4936.\n", "Df Model: 8 \n", "Covariance Type: nonrobust \n", "==============================================================================\n", " coef std err t P>|t| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "Intercept 31.9030 47.961 0.665 0.506 -62.353 126.159\n", "sub6 2.0698 16.893 0.123 0.903 -31.129 35.268\n", "mean_gm 42.0489 65.841 0.639 0.523 -87.346 171.444\n", "tiv 1.15e-06 1.99e-05 0.058 0.954 -3.8e-05 4.03e-05\n", "age_scan 0.2993 0.363 0.825 0.410 -0.414 1.012\n", "gender -14.3620 5.076 -2.829 0.005 -24.337 -4.387\n", "AD 61.5936 7.337 8.395 0.000 47.175 76.012\n", "sMCI 23.0554 6.190 3.725 0.000 10.891 35.220\n", "pMCI 44.5350 7.414 6.007 0.000 29.965 59.105\n", "==============================================================================\n", "Omnibus: 250.629 Durbin-Watson: 1.893\n", "Prob(Omnibus): 0.000 Jarque-Bera (JB): 2458.577\n", "Skew: 2.176 Prob(JB): 0.00\n", "Kurtosis: 13.496 Cond. No. 6.14e+07\n", "==============================================================================\n", "\n", "Warnings:\n", "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n", "[2] The condition number is large, 6.14e+07. This might indicate that there are\n", "strong multicollinearity or other numerical problems.\n", "############################################################\n", "F test on full and reduced model:\n", "############################################################\n", " df_resid ssr df_diff ss_diff F Pr(>F)\n", "0 449.0 1.163361e+06 0.0 NaN NaN NaN\n", "1 448.0 1.163322e+06 1.0 38.983983 0.015013 0.902537\n", "############################################################\n", "GLM results for effect of subtype weight on MMSE\n", "############################################################\n" ] }, { "data": { "image/png": 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z6URmYzWDrWJ0ho1mH7nAf5FSPiuEyANfF0J8UUp5YrEXWK7P5UKVlKGTNDRS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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ " OLS Regression Results \n", "==============================================================================\n", "Dep. Variable: MMSE_bl R-squared: 0.175\n", "Model: OLS Adj. R-squared: 0.172\n", "Method: Least Squares F-statistic: 55.12\n", "Date: Sun, 10 Dec 2017 Prob (F-statistic): 4.98e-52\n", "Time: 20:10:37 Log-Likelihood: -3006.4\n", "No. Observations: 1305 AIC: 6025.\n", "Df Residuals: 1299 BIC: 6056.\n", "Df Model: 5 \n", "Covariance Type: nonrobust \n", "==============================================================================\n", " coef std err t P>|t| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "Intercept 21.7064 1.379 15.735 0.000 19.000 24.413\n", "sub6 -4.1453 0.449 -9.241 0.000 -5.025 -3.265\n", "mean_gm 21.4355 1.658 12.928 0.000 18.183 24.688\n", "tiv -2.373e-06 5.49e-07 -4.323 0.000 -3.45e-06 -1.3e-06\n", "age_scan 0.0146 0.010 1.394 0.164 -0.006 0.035\n", "gender 0.3377 0.139 2.433 0.015 0.065 0.610\n", "==============================================================================\n", "Omnibus: 113.293 Durbin-Watson: 1.921\n", "Prob(Omnibus): 0.000 Jarque-Bera (JB): 141.660\n", "Skew: -0.781 Prob(JB): 1.73e-31\n", "Kurtosis: 3.407 Cond. No. 5.63e+07\n", "==============================================================================\n", "\n", "Warnings:\n", "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n", "[2] The condition number is large, 5.63e+07. This might indicate that there are\n", "strong multicollinearity or other numerical problems.\n", "############################################################\n", "F test on full and reduced model:\n", "############################################################\n", " df_resid ssr df_diff ss_diff F Pr(>F)\n", "0 1300.0 8161.840950 0.0 NaN NaN NaN\n", "1 1299.0 7658.418455 1.0 503.422495 85.389147 9.704955e-20\n" ] } ], "source": [ "get_subtype_results(sub_img, 6, adni_df)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# subtype 7" ] }, { "cell_type": "code", "execution_count": 97, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Running analyses for subtype 7 ....\n" ] }, { "data": { "image/png": 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lMHLH74NsL7KeAHDgwKsAEmt7Gf8eoNj3iEPsyDKNjY2Qz4BCRPErFsHzGlRW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N3QEMm9AIScBgrRIRmUrvjF0vuD7wtda+O+ueQpDxTmGhlKpBPmHbini2SDShd1yZyXfZOPvhdN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BwcHBwcHBwcHBwcHBwcHBYZBQiE6nsR/P49ALxBH5EwtsqYGirGzR7zJatB2+/3wvjk1REoDJ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\n11yDr3/96xg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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "############################################################\n", "GLM results for effect of diagnosis on subtype weight\n", "############################################################\n" ] }, { "data": { "image/png": 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+fftIT08nLS2NkJAQzGYzGzduZNu2bVgsFr777jtmzpzJ2bNnueuuu7Barbhc\nLry9vSktLaWsrEz64eXk5Eg3vd1ux2AwNEjhqKmpYf78+Xh5eTF69OiLpv5RUVFkZGQQEBBAo0aN\nALdrIDc3F4fDgcFg4Msvv+Trr78G3FFSJSUlgNsVU0dSUhIDBw4E3FFnTZo04cyZM7Rq1Yrt27dT\nVFTE0KFD2bx5M0ePHmXkyJE0bdr0Wl2CekGdgMbFxZGRkUF5eTm1tbU0btyYV1999bqc0V5tevfu\nTe/evTEYDFK+lV6vl6IlT5w4wdixY9m0aROJiYmsW7eOwYMH/79h9vUZWTiugGnTprF161Z69OjB\n9OnTAXdi28GDBzlz5gyDBg1izJgxUgvY0NBQVqxYIc1K/Pz80Ov12Gw2Vq5cSUpKCuvXr6dTp05s\n2LCBzp07U11dzVNPPYXNZuPFF1/k7bffpra2ljvuuAONRkOXLl24++67CQkJIT4+vsH2m/jqq6+k\nDn8BAQFs3rwZp9PJrFmzePHFF+nbt69UIr1Dhw5ERESgVCrJy8sjICAAi8UiZZcrlUo0Gg1arZYH\nHniAJk2aYLPZaNSoEeHh4UybNo0zZ84QFRXFwoULMZlMPPvss4C7zMbWrVsBt9C///77nrkg14ia\nmhopxwXg888/58SJE4waNYpPP/2UwYMHU1lZyZkzZ9i+fTsPP/zwb46xYcMGFi1aRLdu3Zg8efIN\nnzRYW1vLv//9b0pLSxk7diwlJSUMGjSIiRMnYjQaefbZZxkwYAApKSn0799fCqapa6XQkJBXCf8k\nFouFnJwcXC4XN998M9OmTaNXr17cf//9REdHM2TIEKkvxJEjR1i6dCnNmjVj+vTppKWlsWjRIoqL\nixk2bBitWrWSIlcaN27M8OHDWbduHdXV1ezZs4f33nuP1NRUjEYjVquVffv2UVtbC7hnF3PnzmXk\nyJEEBwfz9NNPc889v6S1lJaWsmfPHmw227W/SFdAbKy7cIBCoaC8vJyioiJKSkrYsWMHe/bsIS4u\njrCwMMrKynj33XeZMGEC1dXVjB07lrNnz0qugbr8i3feeQeFQsGLL75I165dKSsrY8qUKYwePZqq\nqirALQw5OTlkZ2dLC+UBAQGEhoYC7jWk65kvvviCf/zjH1LRzby8PObOncvu3buZO3cu+/btw+l0\nolAo8PHx4eabb+brr79mwoQJfP/99xcdx2AwsGXLFuna3sgcOnSII0eOUFhYSE5ODk8++SQqlYqq\nqiqpDe+8efOYMWMGSUlJgLvFbENEnnH8CZxOJxMmTODs2bPccccd/OMf/2Dnzp307duX0aNH061b\nNxITEzEYDKSmpnLTTTexfPlvoiIPAAAgAElEQVRywO0Lrns4qVQqvvjiC2w2G0qlktjYWJ566ike\neughlEqllH8RHh5Onz592Lt3Lw6Hg1GjRhEdHU1ubi6PP/444HZVVVRU0LlzZz7++GMyMzMZOXIk\n06ZNo6qqil69evHKK6945oJdBj179uR///sfGo0GtVrN/v37cTqdZGZmsmzZMnx9ffnss884fPiw\nFKW2a9cu9Ho9paWllJaWkpKSQkZGBkVFRWzevJnq6mrAXYK9buHRaDTy5JNPcvz4cbRaLW+88QYA\no0ePJiQkhD59+jBs2DDy8/Ov+2q5u3fvBuDs2bOcPn0aPz8/goKCqKqqwt/fXwo/9/f3Z82aNahU\nKp544glcLhfnz58nPj6eL774gmbNmpGfn88tt9wi9ZG5kWndujWRkZFUVFTgcrkYP348Xbp0kWbE\nP/zwg+RqvuOOO3jxxRc9WlfvryALx5/AbDZz9uxZAE6ePElqaqoU0962bVu+//57GjVqxLRp08jI\nyMBms6HVarFYLGg0Gnr27ElQUBB33XUXU6ZMIScnB5VKhc1m48iRI1KRvfbt29OzZ09uuukmFi1a\nRHp6Op06daJRo0YMGjSIGTNm8Prrr/Pwww/z0ksv4XQ6GTJkiJQV7XQ6pQzqOl9/Q+DCIIBVq1YB\nSCGMtbW17N+/H5fLRdOmTdHr9bRp0waNRsPOnTuJjIy86FixsbFERESg0Wi49dZb8fPzw26307Zt\nWz788EMsFouU3wEQHR0tuQoCAwNviAfgsGHDKC8vJzExkalTp1JTU8MzzzxDYmIiCoVCmlXU/b78\n/Pxo1qwZmZmZtG/fnlmzZpGZmYlCoWDt2rU3dNn/CwkODmbFihVUVVUxZMgQwF2o09/fH5vNRnJy\nMhkZGVgsFiIiIlixYgXNmjVrkPlXyoYWP/xnWLBgwX+uZkarRqPBz88Pq9XK448/zpEjRzAajURG\nRlJVVUV1dTU1NTXk5eWRlpZGeno6s2bNonfv3syZM4esrCx8fHyIjIxEq9WSkpLCzp07MRqNOJ1O\noqKiiI6OprKyks8++4wTJ05w+vRpLBYLxcXFPPTQQ2zZsoV169ZRWlqKKIqSkCUkJFBRUYHZbKZ/\n//7cfffd+Pj4MHr06AZ9Q7dp0wZRFOnUqRNz5swhNTWVwYMHc+zYMbZu3UqLFi1o3749ZrOZO+64\ng3379qHT6XjiiSc4fvw4wcHBBAQE8N///pfi4mKpXIsoinTs2JGePXvSs2dP+vfv7+lTvebExMSQ\nkpKCUqmUwnBDQ0O55ZZbiI+PJykpiePHjyOKIkajEZPJxKhRoxg7diydOnXixIkTFBQUEBgYyIMP\nPohKJY8/6ygqKmLPnj2Ul5dTVVXFbbfdhtFopKqqirS0NG677TamTJnC999/z65du0hLS6N79+6X\nLJrqCaZPn37+P//5zx/2W5b/x/8kgwcPliIl3nvvPQ4dOkSHDh0oKyvj888/p1u3buTk5EgPraSk\nJGw2mzSzcLlcvPTSS7hcLm6//XZp+lpdXc3jjz+OKIrMmzcPgNOnTzNp0iS++OILWrZsydixY4mP\nj0en0+F0Orn77rul+lXt2rVjzJgxlJaWSpFAdeGBDQW9Xs+mTZto3bo17dq1w2w2ExkZydNPPy0l\nTYJ7AdtgMABuf/L+/fsB90Kvr6+vVN7l6NGjABc1IIqKiqJHjx6YTCYGDx4szVSsVivp6ek0a9bs\nhoscuuWWW+jXrx/l5eWcO3eOYcOG0adPH1q0aEFlZSVarZbw8HD8/Pzo2rUre/bs4d1338Xf35/n\nn3+e5ORktFqtp0+j3iCKIs888wwVFRUkJCQwaNAg1q1bh7e3N06nE3BXzc7Ly5MCZXx8fBpkaLMs\nHFdAaGgoO3bsYObMmTzyyCN07NiRFStWMGDAAMaPH8/69etZuHAhEydO5IMPPiArK4s2bdpw8OBB\nwF2apC6Br3///rz66quAW5zOnDlDnz59uOmmm2jfvj1vvvkmOTk55OTkMG3aNObNm8fbb7/Nww8/\nzN69e9m7dy/PPvvsRQvkDY1Zs2aRmpqKWq3mySef5IMPPiAyMpIPP/wQg8HAgAEDiImJYciQIWi1\nWvLz8xk1ahTZ2dmUl5cTEhIiZY6XlZWhVqtRq9UMHTqU+Ph4rFYr999/vxTqO2/ePHbs2MGIESPY\nvXs3hw4dIjExUSrBcaOg0WiYMmWK9DsEOHjwIBkZGYiiiNlsZtWqVbhcLs6ePSsJssFgIDIykoiI\nCE+af005ceIEWVlZ3Hnnnf9vTxxRFKWgFLvdTmpqKuB2dQcHB9OhQwecTiczZsxAo9Hw8ssv06pV\nq9/MNvLy8jhx4gQ9e/YkOzubrVu30q9fv980J/MksnBcAQaDQRKBHTt2UF1djclkYsmSJTRr1ozC\nwkIKCwtp06YNO3fu5LbbbiMxMZHnn3+e6upqtm3bhtFoRKFQXDTaCAgI4JlnnsFisfDwww/jdDrp\n27cvJ0+eJD4+XnpQAhw+fFj6Xt26Rn2ksrKS1NRUaa0mNzeXsLCw/7cy6I8//iiVNZ8/f77kSpk5\ncybTpk3jyJEjPP3008THx/Pqq69KN2udXz4oKIjPP/8cpVLJDz/8wMGDB0lJSeHbb79l48aNDBgw\ngDVr1gCwYsUKKeEyPz8fp9P5m0xos9lMWlraJW/w64W67pRbt27lvvvuo7q6moULF+Lj44NGo5Hy\nk26++WY6duxITEwMHTp08LTZ14ySkhKee+45HA4HmZmZ3H777WRlZUnXKi0tjV69euHv78+jjz5K\ncXExd911FwcPHmT58uU4HA6qq6s5efIkjRs3Btw1rJo0aSJF8tVVfO7RowcTJkzAaDTyww8/kJWV\nhV6vZ8+ePVLYen1AFo4rICAggPvuu4/du3czbNgwTpw4wZYtW+jevTvNmzcnMzOTpKQkli5dSlFR\nEfv37yc7O5u1a9dKTYTqKC0t5ZZbbiEmJoZly5bx8ccfM3DgQCl7NyoqikmTJvHpp5+Sl5dHUFAQ\nXl5ePPzww1Jf8/q8uDZlyhSysrIICQmhf//+fPbZZ0RFRfHf//6XTz75hNjYWF544QW2bt0qRTPl\n5+cTFxd30Yi2oqKCuorHmzZt4ssvvyQ3N5ehQ4eSnJyMTqdDrVZjt9t59NFHGT58OPPmzcPlcpGb\nm0tNTQ1Wq5WcnBy6detGamoqffr0ITk5mfXr19O7d29JNH744Qc2btzIXXfdxcaNGzl48CDh4eGs\nXLnyui2xMWTIEG6++WYmTpyI3W4nOjoahUJBdna21DOlqqqKBQv+0P193SGKouRaNplMvPzyy7hc\nLs6dO8exY8cwGAzs2LEDPz8/Dh48SGxsLL169eLYsWM8+uijLFmyBJfLRWlpKffddx+NGzcmISGB\n119/nezsbJ555hnmzp2LxWIhNTVVShisqakhPDwcvV5/UUJrfUAuq36V0Ov12O12Nm3aRNOmTenS\npQvTp09n9+7dxMXFERAQIHWjmzRpEvPnz0epVEqzhX79+rF9+3YAHnzwQaqqqrBarTzxxBO8/PLL\nZGZmAu5S2A0pQ/yRRx4hPz8fnU5HkyZNpGtQ9/AGmDhxImvWrCEiIoJ//etfLFq0CIVCwRNPPMH2\n7ds5ePAgfn5+Uo2wESNGMHfuXMCdc5Gbm4vT6ZQi2cDdMCokJITMzEy6du2KzWbj0KFDdOzYkZEj\nR9KiRQsWL17M0aNHGT16NIcOHWLz5s0MHTqUVatWSQlyERER5ObmolKp2LBhw3Xt0//yyy/58MMP\nAXeSqtFoRBAEBg0aRHV1NQ8++OAly+DcCKSlpZGVlUW3bt0YO3Ysdrudfv36kZqaSk1NDU2bNsVk\nMlFcXIxKpaJJkyZkZWUBEBERQUVFBfHx8cTGxnLy5EnuvvtuPv74YwA6derEqVOnsFgsdOzYkYce\neoi0tDTuvvtu/Pz8OHbsGG3btr0mBSXlsurXmICAAJ5//nkOHTqEWq3m1VdfpbS0lJ49ezJp0iQO\nHDiAIAgkJCTw/vvv43A4LvKVdu3aFR8fH/Ly8oiMjOSBBx7gqaeeYvjw4dx+++1kZmbSqlWrejfy\n+COmT5/Otm3b6N69OwCLFi2iXbt2eHt7k5qaire3N4cPH6aoqIiioiI+/vhjSUCbNm1KQEAABw4c\nAOC+++6jqKiIJUuW0K9fP3Jzc7n99ttZtmyZ5Gbq0aMHu3fvpkOHDvTt2xer1crMmTOxWq2MGzeO\npUuXMnHiRO69916pVMmSJUvIysrC5XKxZs0akpKSOHr0KM2aNeOJJ55g3bp1dO/e/boWDXAvlm/Z\nsgWbzSYFIYiiiI+PD88884yHrfMsycnJJCe7n6cffvgh2dnZ9OnTh8GDB3PgwAH69etHSUkJq1at\nol+/fhw6dIisrCzCwsKorKzE4XDQpUsXVqxYAbhntd26dSMrK0sqTX/kyBH69+9PcHAwN910k/S3\n62M9NY/POARBuAN4H3cHwEWiKL75q89vA94D2gEPiqK49o+O+UczjlmzZkmjgatJXU9xQRDQaDRS\nfkZAQAB6vR6FQkFISIg09Xc6ncTExCCKIlqtFqvVyvnz54FfRnzgjrwICwtDEIS/paxD8+bNmTx5\n8lU/7h9x6tQpQkNDOXv2LK+88gqhoaGMHj2a1157DUBqMPTWW2/hcDgYPHgwX3zxBQC9evXi4MGD\n1NTUMGTIEL799luMRiMJCQkMGTJEah87cOBANm7cCFw8q+vRowcFBQX89NNPjBo1iuLiYrZu3cqQ\nIUMYOHAglZWVtGrVql73b7+azJo1i82bNzNw4EDuv/9+nnrqKex2O7fccgtPPfVUgw7tvla89dZb\nbNq0iRYtWvD666/z+eef06RJE+n33KpVK5RKJSdOnJBm4r6+vkyYMKHe9ONoEDMOQRCUwBygH1AA\nHBQEYb0oiqcu2C0PGAU8f7X+blZWFgePnsDuG3a1DgmAAHijxoYSL7MTPwU4RIHiaiPegjuaKqtE\njxo1GpcFu1PkaGEVwYINteCi1qVE93MRmPOGWtQoUCKSZ3Rw1ni57dZFVLhwoPjZskujNpVd6en+\nZepKxRcVFfHWW2/Rtm1bFAoFSUlJbN++nQULFqBQKHj55ZeJjo4mMjKSjIwMSktLadu2LTt37gTc\nvndRFHE6nWRnZ0vRP+DOwu/SpYuUixAfH89PP/3EY489RkhICNXV1YSFhZGdnc2YMWPYvHkzo0aN\nIjIykoULF94wwvHtt99K/54+fRqDwYAgCLzwwgt4e3t72LqGQd3vLjMzk9dff520tDR8fHzw9fXF\nYrEwYsQIunbtitVq5ZNPPpECOlq3bi1VcG4oeNpVdTOQLYpiDoAgCKuAQYAkHKIonvv5M9fV/MN2\n3zAq26X8/k6iSFjpMTQ2IyURndCZy9DVlFAR0gq712/LqP8atc2EQ6VFba8l4nwaIGDxi6ZKF0Li\n2c14qcDpH47a4O47jm8wRYGJqBwWKkJbIiou+O8RRUAEQYHCaUPptGHX+KJ0WPCy6qnVheFrOo+/\nPpeqoKaElqfjZyzE7B3CT03u/H9tDD7+5R9frN/hr87eTCYTpaVuUQwLC6O6ulqqCAxusX333Xex\n2WxSmW+dTseGDRsIDAyUannVRamp1WpOnjxJYGAgoiiybds2NBoNgiDw73//G5vNhlqtZsKECVRV\nVeHj4yPVE1IqlVINseLiYsaNG3fZwuGp2dtfpa4V77333is9AAVBuG6DAf4Oxo8fz8qVK+nZsyd7\n9uwBkKpIKJVKvL29Wb58Odu2baNdu3YIgoBKpSIhIcHDll8+nhaOaCD/gu0CoMuVHEgQhDHAGOCq\n1X/xqSkmrOyktO2vz0NAxMtqIDeh36XtcDmIzt+Lxm6kKLorTqUGEYGqkGbE5e7Ez1RIecgvlWyd\nSi+qAxPR1ZRSFdgEQ2A8okKFxqpH5bBQ6xOBxmog/qdtCC4nhTHdaVS4D5XTyvnIZELLT6F21FIV\n2IQA/TkUohMfUzHg1lmtuRJEFwh/Tz3LrKwsDh4/ij3o0rHtf4SPU8Dv51qbueUl6ET365IaAyjc\nZ+HUV6NEoNZcy0/lJfiKCuyCSIXShb9LQOdSuAMNbBa8FZBfkI9BIaIVBfR6PWbBhV4lEuhQoBUF\n7IKIIIIKwV1IUhDxQsDpdFKBDZ3gPv6hkrzfm6z9BnVVzRVdg/pAy5Yt6dq1K82aNeO+++7jn//8\nJ1qtllOnThEWFtagAjI8xa233iqtR/To0YP169cTGxvL22+/Dbj7t6enpyOKIgaDgSVLluDl5fWb\nsjkNgT8UDkEQfjetURTFyr/w9y91W17RoosoiguABeBe4/gLNknY1L64FCoULgcWr0B8ledROm24\nBBVNzmzAqdRQGH0LjQoPoHDZKYztgcZmwN/o1sKQslPoaktRO8xUBf5ScdWp0pLXuDe+xkK8LNWY\n/GOwaIOJLtpPWNkJCmK6E3/uWxSii+LImxAFBSqHO1rIX/8TKqd77URXU4za4a6a62XVY1f74GUz\nYNP4UhHakuCK0+gDE/420ajDHuRDeb+2V/TdCqeL8DNliAqByphAEn7MQ2l3Yo0IQFQqKGkWTszx\nIvxLjJgDvFE5RTBZUYsC+lubIxYb0WWW4FIIVHVNIuCQ+9qr/L3RVLuvmUqtprxvc0K+Ow1WByoE\nSpLCiDhThiHCj9KmoUSeLsMcoKW0WTgKuxPf8hpqgnU4vf782Cp0+4krugaeZu3atcyZMweFQsGc\nOXMwm814eXlJZee9vLxYvHixLB6XQaNGjRg3bhxms5n3338fu91Ox44d8fPzY9++fXTv3l3K6WiI\n/Jm74hDuh7kAxAFVP78OxL3+8FfmWQVA7AXbMUC96aNo9/Iju+ndqBxmLLpQDAHxaC1V6GpK8DMV\nAhBadhKfWrerJbDqLBUhLbCrdO7vaAMJMOQCoHLaKIzphs5UQmDVWYz+MfjUlqK1VOFbW4LJxz3q\n0Nhr0JnLUYjuGYPGasDsHYzFKxBBdGFT+2L0jUIhuiiL6ECtbxQ+NcWUh7XBrvbFu7aMWp8IXEo1\nJv/YS5yVZwjKr0JTY6M8MRSnWoHgEhGVCrc4NA+Hnxf9z/Rqin+Rnrij7uvrUiowBeuw6jSUJoXi\nW1FL+OlSLH5eJO0+i0upoKBNJCHnKonKKMYY5oPWaKUiMRSD2U5AkZ6K+BAQRSrigvArM1EVF0R1\nTCDlTUOlv5vb+ZdZauO0PHyqzFh1Gs70uj4aOpWVlREcHHxJ11NdsIbL5eKrr75i27ZtCIIguQut\nVivl5eW/KxyVlZXYbLYGOXq+mthstosWur29vdHpdJjNZjp37syjjz6KXq+/qJjmrl27mD17Ni1b\ntuS1116T3KX1mT8UDlEUEwAEQfgfsF4UxU0/b98J9P297/4JDgJJgiAkAIXAg8Dwv3jMq4pD44ND\n43bD2L38sHv54VR5EVSVjVOpRh+YiJ+xCIXLgcpeS1zu95xv1BlBdOJfnYfBLwaVw4JdpcOm8SPE\nnI6XzYBX+SmqAxLQWqqwavyoDG6GwmXHrvHDy1yFwS8Gp8oLlcNMdNEBHEoNhoB4wsvTEYGfmtyF\nTRuITRtIVcgvsfUm/xgPXan/H11lLdEn3NFiSpsTb4MFrcHC+daReFebCSzSU9YklNogHSE/VWAO\n8EYUQBBBaXUQllMBgE2nBkGgIiEEL6MVhVNE4XTiU2XG2+Qu9WCI9KeodRQOLxWiQsCm02DzVhOW\nXU7EmTJcCoGCYHfWuleNjbDscmqCddh0aqKPn8fi74Xa7E6+VFnt7rWlBt6g6O2332bjxo107NiR\nd955B7PZfNGC98MPP4zL5SI4OJjCQrdg14Xh3nbbbcTExEgl/+twOp18/fXXCIJA69ateeaZZ7Db\n7cyYMYNu3bpd0/OrL9S1db6wpUFeXp6Uq7Vw4UI++OADAgMDcblcfPPNNyiVSr777juMRiM//vgj\n586dk3p11GcuZ42jsyiK4+o2RFHcLAjCjL/yx0VRdAiCMAHYijsc92NRFNMFQXgVSBNFcb0gCJ2B\nr4Ag4G5BEKaLoujRhgm1PhFktrzf/UARFJxunoLaZiIp210SIKz0OBqbCaXLjlOpweIVSHDVaQKr\nz1IVnITWqsesDcau0lEY3RWN1Uhc/g9YvAJQOswE1JQgAtnN7qVRgTtJTum0I7jchdLcj7E/6Y37\nG9c3wD3C0jkFVBY7Du2lR0pOtUISAgTwNrhdSAFFenyqzAAE5VcTWKBHY7HjW17DueRYvGptONVK\nggvdN56u2kzQz6/PtwjH7OeFqFRg8dNi15hQuESUVgfNd2Zj8fXCEOFL+NkKXAIYw9wFDBUuEbXZ\njt1bTVT6eXwragks0mMK8UFjsaOx2ClsHYm3wYI+0h+t0YrK6sAU9vsFENVmG34OgfLycoqLi+vV\nyLsuD+bIkSPMnDmTLVu20K9fP9q0acNHH33ETTfdxPTp0/nf//5HWVkZvXv3Zv/+/ZjNZh566CFi\nYmJwuVy88847ZGRkMGHCBAoKCvjoo48Ad0/3utDz9PT0G1Y46gpy7ty5k+bNm7N7925SUlJQqVQ4\nHI6LxPebb77h3XffBeCee+7h5MmTtGzZssG4ry5HOMoFQfg3sBz3U2sEUPFXDfh5BrPpV++9fMHr\ng7hdWNcctc1IVNGP2FU6zkclE1J5GoCK0JboastQ22vRB8YjICIgYtEGorVUU+PbCGqK8TZXYNX4\nI/784BYFAZNvI6oDE2lUuJ+winRcChUWL/e0VWvVo/dyZ4e6lBpCSk8iCkqqAxIw+cdg9IvGqg3A\npvFDRMDHWESNXyN8DQV4myuoDGmOvz4Xf30uFWGt0NWUEFqegT4gnsLYq59E5HQ6KSoqwt+lwHdn\nNuZAb/I6xhBQbEBwilTEB4NCwOqnJadrAmqzHUOELwqHC121mfLEUCxlJgKL9FTEB+NdbUZjsWP1\n9SLmeBFqm5OKuCBKksLwMlqw+v7iAnBo1Zzt0YQme3KIyizB7OfF2e6JJO77yX0tTVYsfu6IKIUI\npjA/UAjYvDXEHi1E4XRhCnHPJB0aJdVR/vhU1mDVafAvNiL8LMxN9uYgiHC+RQQViW6Xl8rmxOGl\nwru6loAiA/pGAcQcLcBLVGAwGJgxY4bUb/5acvjwYfbs2cNdd91F06ZNcTgcqFQqHn/8cVavXk2f\nPn2kBLTvv/+e3Nxc7HY7+/fvZ+vWrXz11VeAu7pyXcfJ999/n7feeoucnBwpH2b58uUXhY+2bdsW\np9NJbW0tKSkpiKIo5Rv9enZzPTNs2DBWr15N7969mT9/PuAulRMUFERtbS133nknM2fO5NixY9x8\n883S99q1aye1MG4oXI5wDANewT36B/jh5/euW0LKT+FrcrtYREFBcJW7NazSaSWk/BQC4GWtxl+f\nh8Zuoiy0NZVBSejM5RRHdkRrrkZrqcTkF43JLxovSxWNc3fgVGqwatwlv0UUlIe1Ibz0KDW6CEoi\nO1JTHQWii0bn3YUUK4ObYfKNIrogFUF0YtEGkXh2MwIiZaFtCC1Pd0d7WarwMxYgAOqiWhQut8sl\nQH+OwphuV33mIYqiVCRQ4RLxqawl4nQpwfnuDnyCy0VAsRGVxU5+p1i8aqzEHa6mpFk4aosd/xIj\nlXFBnG8d6V7/aBxMucmKUynQbHcOAFqDBW+DBYVLpMbqoKBtFL7lNYSfKUNpc6Kpdbuo1BYHIecq\nsfq6xaImxAeLj1to7F4qojKKEUSRyrgg1FYHAFYfDT91jsPq54UgQn7bRqgtdqJOl/38vWr3LAlQ\nW9xuq4T95/CpMlOeEExgoR6VzUlgkR7XBe4sTyRzORwOpk6disViIS0tjeTkZL766iv69+9Phw4d\nKCkpISMjgxEjRrBu3ToGDhxISEgIc+fOpV27dlI2v9lspmXLluzcuROXy0VUVBT79u3jxIkTREdH\nU1hYSNeuXamsrCQ5OZlevXpx+PBhjh8/zoQJE1i8eDFbt25l2LBhiKLIypUr6dy5MzNnzrzue5IP\nHTqUoUOHIooiJ0+eJCMjgxYtWrBr1y4A3njjDU6edEdpnj59mhdffBGVSkWfPn08afYV8aeF4+fo\nqRuq7oBZF4ZYeQaXQo3V65c6MaKgkMLBVHbz/5H3ntGSneW95+/dqXI+VSfHzq0OCi0hyQpIIMCA\n4V4wJthjY5trG/CC8Riz7OU141l33Q/3zrofEONZd40TBgYTF9gE2wqAJCSh1N2SOqeTY+W8d+30\nzoddqpYIRqHVavn+v5w651Tt/e5dVe/zvs/zf/5/DKcNQKxbJNItI5CEzRqK72A4HVKNJU7vfT+T\ny8EHSPVsGqkZ7FCCSnY32epZFM+lGx9heukBYp1NmvExfKGiSA8znCVVnyfZ7/fwFH2wItZcEykE\nQspg9xLOELFqdKN5euE0ufJJGum5VyVdpWkaY2NjnFtfIYyCp6uYyYuyHLrpDNJSucUKqc2gE170\ng4ziS6LVLr14iNRWi3YuxurBMVLrTYpzOULdIJjMHF4BXyIVhfpkhrHjGygShs8W2dgzTGqjiZkM\nM3o6cD3c3FVA8Xwmj23gCyjPDaH4wf3yFYGZDCG8oHaRW65RnM0xfXQVvefSTYfxVIGQYKYiOFED\n1fboRQ1ipfYgtZYotnF1Ndh9GCor10ww/vB5RpOZ18SyV1GUQaNZKpUaqArff//9LC0t0e12eeSR\nR3j/+9/Pnj17OHjwIIqi8MQTT/DQQw+RSqX44he/SLlc5gtf+AKqqpLJZHjf+97Hhz/8YXzf55Zb\nbuEv//IvuXDhAp/6VNCPG4/HB42YX//61zlx4gQA3/ve9wYKyE8++STtdnvgQfHvHUIIPvOZz7C1\ntUUikeChhx5CSsnw8PBAYXffvn2va8vdF0PH/YyU8n8VQnyHn5FYl1K+fo0gfgEa6Tm60Ty+ouNp\nYZxQHGRQgLaNJLrTpklnUl8AACAASURBVJLbg6tHiHZLbBUOMrH2KLrTxTFiqJ6N4XRwtQhja4/h\no9BMTGKH4oxsHkYgkQgy9WB1nSseJ2IF7OaoWeX8jncxvHmEsfXHaSYn8YWKQNJIz9ELpYl2i7SS\nk0HdxKoGAYKAiWUbcaRqUMm/uuWgUChEU5Ms3LkbKQQoAjesI3yfTiZKrGaiWw618RSxahfN9rCS\nYULtHobl4oZ1YtUgLRKrdpg6vEK0YeFpCpXpDHOPL9EeimFHdUItm+xildZwgtRmi042ytiJTRRf\n4ukX2UKepmB0gpy7IqEX1Whno/iaQqLYJtSx2dpVYORMwIbTLAfVCepHiis5c+dOxo5vMHZqCzui\n0yzEGT+5iRRQmUwTq5kUdwTF/Hi5Qzsfxw1pNDXJvlzuNZkMnqPSPvPMM7zhDW/gu9/9Lt/4xjd4\n+9vfzsjICPPz8+zfv58///M/p9Vq8d73vpePf/zjg0a1hx9+mD/90z/l2LFjA/FJ27YJhUKoqorv\n+0SjUVZWVlheXh7k7WdnZymVSpw8eZI3v/nN7Ny5k3vvvZf3vve9ZDIZvvCFL3Dbbbf9TxM0IFAy\nuPvuu4lGo3zyk59kfHycTqdDp9Phrrvu4tChQ4NGwM997nM/JefynBKvory6NPpXghez4/hi/+d/\nfzUHcqXCVzSmFr+P6tmsTN5GrnqaQvFpNkZvoJGZQ7dbgKBYOIgZH2Fx5s2Eeg068VGE9Im1NwlZ\nVQr9RsLN0UN0o3mGyqeCE0gwIzkiZoVmepoms6Tq83SjeXS3S6K1gkCSaK0xP/c28qVjRLslPNUg\n0V4n0V5nZfI2MtXzZCtnWB+/ifHVRzDsNquTt9JKXZpmyF8EqV78kLeGL04S52/bNnh8Lh0lt1gh\nWrfY2lVACkEvahBu98gt12iMJEhtNAfPz6zWEUCi3MGK6oS7DvFal/U9BfSugxU3SBbbg/Mv3DBN\nvNRi7OQmdkSnMpXBDWmMn9hC8SXViRTJYpDailXaOGEN3XKxkmGK2/MkSm0ao0lC7R6hTvA8w3TQ\n7D4pQUJtKsPG/rHBGOsTV86KsVAocNddQWPqhz70IT70oYsExXe+850sLy/zW7/1WwAsLi7ypS99\nidtvv51z586xe/fuQUdzJpMZyLj8xm/8BgcPHuTWW29ldHSUT37yk0gp+eAHP8g111zD9ddfz2/+\n5m/iOM6ARvqJT3xicN53vOMdl/EOXB6cPn2aJ598krvuuutnkiC++c1vDtJT+/btwzAMSqUSjz32\nGI899thALLHRaLC1tfWCwHHmzBk+9alPoes6d999N5OTVw6l/vl4MXTcw/2fDz73NyFEBpiUUj77\nKo7tikC8tU7EqgEwVDlJqhH0ZQyVT7ASKzC+8ghRs0y2copi4WqGt47QC6VYiI0gpEfYqiGFguwn\nt0JmjUzlDPX0HK4awlc0mqlpHD1CvnSCXjhFKzlJofgM2epZ6ulZks0VqrldZKtnSfXTVfXUzGCM\nsfbaYKeSrZwmZAcpoWRz+bIFjhcDX1XIX6ggAMO0sWIhkqU2rXycVj7O6OkiZiLE1vYhPENF7Xnk\nlmt0slEQEO46WPEQI6eLKBJCXZuNPcNE6iahhslQzx2wt0Jdh/WRJL6A4XPBRln4kvpokkjDCgrz\nyTCRmsnoyU3Saw1WDowx+fQaes+lPprECWu083HqYynsmEEvFsJKvX4LvVNTU/zhH/4hJ0+eRNO0\ngePhBz7wAb7yla9w//3382d/9md87GMf46//+q8Hqq5PPfUUf/EXf8HRo0cHNS1N07j++usHx349\n9B5cCti2zR//8R/T7XZ5+OGH+fSnP82JEye44447BruqnTt3DuRETp8+zcbGxqB/Znh4mI985CPo\nus7s7CwTEwHv5/Dhw5w7d45ms0m7HSyGnvP2uBLxomscQogHgHf1X/M0UBJCPCil/N9epbFdEejE\nRrD1IO1UT28jYlbQ7TatRPCG+309KaloxFtrCAJ2VMhuMlQ8RrK1ikSwNPMmHC3C9vPfQRDUOdqJ\ncdKVU0gE7fgoifY6NKGRDCZ7gaSZnqWVmiZVn8dTgi+nLxQquT04RgLFs/EUDVcNIaRPLbMjSJHZ\nLarZna/FLfu5kKrASoSItHp0UxES/d1CrNJB6xesI60evXiI9PkmrqFSns0ycraEL2Dp2gk8XaVw\ntkS81qWbjlCbSKObDumNJrR6FOdyhFs9elGDsWPr6D2Xan9XYKYiGKbN5t4RQu0e+Qtl7IhBqN+3\nkd5oDArnes9l4caZwdiLO19fcvbPx1e+8hVWV1f58Ic/zB133MHs7CyHDx8GflqP6qmnnhooCCcS\nCRzH4bbbbhuwqm677TYmJyf54AcDXszKygqnT5/m1ltv5ZFHHuG+++7j3e9+NzfddNPlv9DLhOdS\nSEIIPvGJT9Dtdnn00UfZtm0b99xzD7/2a7/G5z//eba2tviTP/kTAMLhMJ/97GcHAfaP/uiP+IM/\n+AO++tWv8olPfIK7774b3/e56aabmJqawjAMbr311tfsGn8RXgqrKiWlbAohPgJ8Tkr5F0KIf/c7\nDteIcX7Xfxw0gs1H3sr0wv0Mbx7BMeKsTt5KsrlMN1ZAd7ro6ya2EcdTjIFIoRQKieYKhtOmGy0Q\n6xbpxEb6woUBbCNYrXiKTqlwAMdIgPSxQmm2n/t20BOiGCzOvgXNbhPrbtFMTg7YVbXUHBsTN4JQ\nWIlfoV7QQjB/0yyhTg8rESa93iC7XKM6mcHTFUbOFGnl44RbfakQ2xs8ViQkii2yqw08VbCxu8Dw\nmSK7fnCWrd3D+IrAVxWaI0msZBjFl0w8G4gQCCkpbRtix0MXgt1Op0ei1EHxJVbMoJ2NYpgO5bkh\nupkYsWqH4o5Lq5z8WuGZZ54ZUEMty+LIkSPUajXe/va38+lPf5rh4WGuvvpqRkdHEUJQqbyQYS+l\npFKp8JnPfIaFhQWEEPz93/89x44dY/v27Xz0ox+l0+lw22238eMf/xjHcTh79izf/OYrE8+8UmEY\nBnfffTdPPfUU119/Pb//+78PBLTjL3/5ywMm2bZt2zh37hzZbJZqtUo4HCYSifCxj30Mx3F417ve\nRbUaZAmefvrpAeMsHo/z+c9//jW7vheLlxI4NCHEKPBrwJ+/SuN5zRHtbBFrb1DPbOtP3v3O4f4b\nG+1WiPSCJrRU7QJawsQ2EtihFHYoRS27nZHNI8TOf5f5ubfSiRWQqIyv/xiAZnyCrcJBhovP4Khh\ntgoHMaN5uvERXD1CsrFIorWGkB65ymnS9XlsI07EqtELJXH0KNML9yGQtOIXJSAUfkajn/TJVM8h\nhUI9s/2K6ICWmoKVihBqWUghWHjD9KA+0hoJKMqhdo/8+TJSABIawwl6iRBGv+6gepJw00KRgCdR\nHI+tHXna+RjjxzeJ1k3siEYnG0XvOrSH4kQaJlIRCF/iaSqepqDYHp6hsfi8nYWZiVKZy5FeqzPz\nxDKdXJSVayYu27271F4xjuMghEBKyZNPPjkwaPr+97/PI488ghCCTCaD67pIKdE0jXQ6TaVSGXjI\nHD58eMCQUlWV3/md38HzvAF9FwKv+OcmP8uy+N3f/d1LMv5Xqjb8annvANxzzz0MDQ1hmib1ep1o\nNEqn08HzvBewznzfp1ar8alPfWpgCf3AAw8QjUZxXZdz585RKBTo9XqcO3fukt27n4VLpd78UgLH\nfybo8H5ESvmkEGIOOPeKR3AFQXgOU4s/QJEe8fYGZiRHpnqOam4XW6OHEJ5DN1bAjOTQ7TYgGF99\nNJAAmXsbVnSIkBUEFUV6pOsLpBqLdGLDuGoIzethRXODeoTuWQjpM7rxBK3EJInmMiG7RcQ6SicW\n7Bo0r8fS9B1EzCqJ1grp6sUvga/qrEzdTtiqUc1dTEuFrDqK7xAxK4xsBIZWvqLTTM9clvv4i6D1\nXLY9uoDiSWqVNGv7RxESpBJMPL14iOL2IXY+dAGAZiGOmYqALwdBpDqZRu95+Kogtd4g0rZxFrXB\nMVTb4+wbpzE6NtsfnkfxA60qMx2hMZqk1HOJVbovKOQrjkfhfAknrJNab6A5HqnNFltdBzt2eXoz\nzpw5w4mnn2Qs4l2yYyZQ8YSCUikSVcI4wkB2uzR6QTCwKqtYStAMGfWamGo8YFLZFugGmnTQG0Ui\nIoxwPbpqGoSg120R89q4wsBolVHwMYSO2ixS62u0vRKsm69c0v3MmTOcfPY446lXL9WoAp1WlTCC\nkBLD61587+y2NUhttRtNwkLHR6K2XXShAAbmRr/vCWg1yi/p3J70EQiUF7GwWWu8VE+fn4+X0sfx\ndeDrz/t9HnjvJRvJlQAhkIoKnoevaGRq5xFIMrXzaK5FqrFILbM98LeQPsObR4OXARGzjGG3KBX2\nI6SHYyRINJbQXZN0Y5ELc2+nUHyabPUM1cxO1GiPXjhNqr5AyGkT6p2gnp4jZLcwIzk2Rw6RLx3r\n02p1ks1l4p1NEu0N1sZuRPVtfKEyufIQZiRHZSgwRYp0S8zM34tAUk9dVOSVr7JC7kuB4vpBHwUB\nFXbXD8+hOh5Lh6YItXqk1xvUxlN4moLq+khFMN1Xva1MZ/BVhZEzJdb2j+JEDXY8eB4IGg6L2/JE\nGxbN4QS5hQpSiEEPh5CS+kSacMMkf6FCOx8jUu8y8cw6vUQIKxEit1QbnCfStOhkY9iRy1v4HYt4\nfHRn45Icy/IVvrA+QdUxeEthk5LtMG8aTIYsHm9GAcnBjMPjzWDimUvD8XYwYe9Ku2Q0E0Pxyeke\n/1QKdoRvSFZpeTo3pGoowL+UC2R1g4OJBl/bGkITkt8cXWHIcF7R2P/H2UvjsT2eKvDJN754Cbzj\nW/OUOjVunNxHRH9xfiwNq83RjbNsy44zmRrmTHmJYqfGtaO7+NIz97DWLPLWnTdx4+S+n3rtP599\nlNOlRe6cO8TVo7+4Lmk6PTRF5ejGGb575hHiRoSP3fBe4qHov/m6ux/4hxd1LS8GL6U4vhP4H8Cw\nlHKfEOIA8C4p5X+5ZKN5jSEVjYXZtxDrFmkmp8iVTwU7juxOhspBY1OysYTi2aSay5RzuykWDgCC\nkY2gL6M8tBfN65Esr9BKjBG2m3SiBXyhBMVvINlaxtUiJFqrdCNDhJw2nWiB9bEbacdHGd54itH1\nx6nmdjO++jC58ima/YK5o4XxFRWpRMnUziGkT7RbItbeINSrg5SD5kBHj7I2fjO+ol5WdlWk1mXy\n6TXsiM7yoUl87YUrRztmsHL1eD+lpJMoBz4Wic0muaVaUIfo2mztyJMotqmNJvsyIKDa7mByF1JS\n3DZENxWhmwqjOj7jJ7dwwhqq45EstvEVQXH7EKrt0RqKYbR7jB3fINqwSG42aefjaI6HVu3S6+8q\npIDaRJqNvSM/M0UValkMnylipiKUrvBayGYvRNkJJr9nWknmzWBn4Um4M1Oi5yvclKrRkwqmp3Bn\npowuoGQbxBWXJ5oBVXRf7CJNOqp61F2dY+0kHVdlww6zYYeRgCsVXAnLVpQh49IEv8uJjVaZrx0P\n3BCbvQ5xI8J6q8xbtr+B4fjPd5j42vHvs9LY4uGlp/mTW/4Xdg1Ns2so0J36T4fejeN7OJ7L2fIy\nM5nRQaCZSY/w2EpA1X9w8ejPDByVboMHFg4zkSwQN6J8/cT3iekRRhNDALRtk1K3/gsDx6XES0lV\n/TXwJ8D/CyClfFYI8Q/Av5vAAQwUZwGKI9dQHLkGAKkoZGrnqWZ2MlwMHNJSjUUW596GYdUHk7Vu\ndwYyJbprsTb2BsbWH2dm8X660Xwgex7JD+RLRATKud2k6ktkq2cJW1V0r4du9rD7LC2QmJEh6plt\nqK7F5OojANTS2wmpdczoEIXNo4TtBq6iUx7ai+IHaTVXC9OL/JuWKpcc2eUahulgmA65hSrZ5Rp2\nVGdt/xhjJzaRimD14BiKL9FMm046gma7mKkI3WyPWLVLJx1l9NQWAlB8n+VrJwi1ezRHkiRKHVTX\npxcLdKfC7R6+IgZyI5rlIuIXiQfV6Syp9QYzR1bxFUF7qK9RFdb6jYkdrHiIzd3DWPEQoXYPX1MJ\nt3pklmu0hhMIXzJ6YgMzE0W4PslSm2SxTasQv6IpuuMhi7lIh7JtcEOyRsvVKDkhcrrND2pDgMBH\nsGxFqDoG4yGLlOaw3nv+SluyL94kqbn4QMPVOdMNUnzXJeqAJKG6XJ+qU3cNdOGzO9Z6Da72lUNT\nVBQh8KWk5zkcXjwNgECgqyorjSLv3HULjudwsrTAjZP7mU6PDFJFAsE/nnqA9WaZd+z6JWJGmPPV\nNQ4Ob+fvj36PqtlkW3aCptWm1K3z+MoJZjNjLNTWmcuMce/5x9mZm0JXNe49/ziTqQIbrQrnKis8\ns3mePfkZfClp2V1uyY7T82zysQzT6csrqvlSAkdUSvnET+jNuJd4PFcMVNdifOURBJK1iZspFw7g\n6LHA1jW7i1RziXZ8nO1n/wkpFIr5A2hul1ZiAsV3iHWKNJJTxDrB5Kd7FtX4LvD9vmJuipDdopGc\nYnI16N4dKh1jbeJmks1lbD1GaWgvQvr4ikq2cipw+stc9Ieww0nOjv8qht1kYvlHwR+FQnH4GpKN\nRaaXfhBQgWffTDd2+ZhWjdEkqY0mTlgj3LTQey56zyV/vkS8EuwuCmeK5PqaVqXZHJnVGpPPrlPc\nlmNzZz6QJakHnea+qjDx7DqK52MlwyxeP8nw6SKK4w06xj1dZW3fCPn5SiB9kgrTyUaJVTpMPL2K\nGwrSTYovqU6mqU2k8VWFTj5OudUjUWwRK7cZPldCdf2BtEi43SOzWg+ovJaLsdGkOhksLFxDxfk5\nisBXCnRF8oGRixY3U+EVWp5G09U42QlST21PpeoEu61z3Rgrz9U+fJW35bawfIURo8e/VIZpuBr7\n+7sPTfhcm2zwS5kqIeGjK5IPj63wekY+luG3r/0Vyt0627MTLFTX6TgmqXCMJ9eCpt1Hl59lubGJ\nLyUbrQrvueoOtmcn2JGbJBNJ8PXjPwDg4aVn2GiV6XkOp4uLNKyAfl4zm0T1QJonpOn85tVvx/Vd\n/ubwt9lqV3li9QTjyQILtXUWauscHAm+8xEtxI0TV1G32qTDcQ6N7+GmqZdnoPZK8VLVcbfRlx0R\nQvwqsPGqjOpVhJSSpaUlwt0W+We/gcfPzv1HcYgrQY529NR3cFDIKoGMRVtqlKVBvLaEEBIhPSJb\nJ4kLl2ztPE1fxxceo5uHafsatlDwEGS3nkEXELUqFP0wcQHDK4/SQyEkfGzXZWLxAUDSdU3mzv8z\nqpB0fBVDCQpu0eo8DakjALl+itmNZ4gID1sKmlLH9gXZY98khgNK0AuSufAg4f5b/ZySr48SCCN2\nqywv2y/7fq6srKDXOj/lfldUANvFKFv4KHiA3KwhUZCAtlYhKCtCdLGE1reMTc2XGbpQRkHQFj6O\nKhHVFqof/D9/ZAkBRH2FeM2krng0FUGk5zD54wUsIcn6CqxAR/jE+sftCJ+uAF9A5OklhjwFFfGC\n54wdXeW5daPatvBF/475Pm6jjUTgCrA3KpRV8H2PzEOnBtes1zqscGVMnJ6EM504BaP3glqDpkgy\nikNGd/iVoU2ansahRNChv9ELc2u6ykN1wWovwohhcU+lgERQcQwabhAke1LlI+NLhBWfpPbTa0dX\nCjTxU+pErxtMp0eYTBVQhMIf3vg+mr02Q9E0a80yG60y+0e20ep1qZgNMuEEnzv8HTzps68wx/Xj\nexmOZym2q+zNz7LZDujNqqLwvn13crK0iKFq9ByHvYVZMuEk//3hLxE1whhq8B3VFZ3J1DALtXWS\noRi/vONmrh7dxVA0RSoc56M3vAcAz/fZalfJRVNoyuX1hn8pgePjBNasu4UQa8AC8OuvyqheRfzV\nX/0VnueRikUAi5o0iAkXFUlDGjj9ycxGwZcXvS/Uvoc3BLn1tLCwpYJFIHjocTEdrgt/8MXRhY/T\nD04OKjoejhRo+ERFcExTqmz5EcJ4RPsBIoKH2j+GKiSmVNHw6cpA4DApbHR8DILn60iqaBj4DAsL\nH+hKFR+BjySKg4nKkOihCknT14gKDy0ewfMuHYPn4k0KftgC6tInjMAXUFR9VMAV4AsPBYGJxJc+\nuhSYwicjg/dAA3RfQUqwhESR8PyR+kgcBaI+6AiQ4D1PTs0X4MugZ98WkqhUiPoCRfio/QFqUmAL\niSEFtiLpCklICixFIgk80W0RnCccRBIUwL1yuAY/E/eUCzzdTqELn/cNr/FQbYiM7vD2oS3U/nuz\nPxGkk5bNMCc6gfN7SPW5K1vksUaGvG5zhiAlpfbTVSXb4KZUjYLx04sNX8KXN8dZsqLcmSlxY7p+\nuS73ksFybf728Lcpd+r86r47yYSTrLdKZCMpfu/6/0C71yEZjnNVYY6NVoVUOM5fPva1wWs/++Ov\nYbk9fv3g29g5NMVUeoQzlSWe3TjPN08+yBtnruXeC4E/iq5qNK0OHcek45i8Y+fNXDe2m9nMGLlo\nigPD20iGAx+YqB4iGYqx1a5yqrTIvsIc9114glOlRaZSI3zk0OWVDHxRgUMIoQCHpJRvFkLEAEVK\n+bpMYl64EFA8n0u5KekxQo1FALT0CJ3UDJ4WxozmKXs2udIJ8n3Xvc2Ra/HUELnSScJ2g5AIOrWz\ntXNoikIls4tQr0mxcJB0Yz6oZ0SHyVWDPOnW8DU0CYyeQpEMjt1Ady3M3BxD9UV6RgITUHyH9clb\nydTOE+mW2Bq+lpDdYnTjCRK6wNXjqGaFCB4bI9eRaizRTM9Qze5kdP0JRO08KlCZvBlXjzI7fw8A\nfmoCtRH4VYhEAa0TpDA07aWsH16IyclJVrB+rue48CV77j0dmCxFDaxkmNRmk04mwurVE8w+tkjc\n8Vi6fgqpiMBkqWkR6vRwwjpDiwF1eWNXgfyFCknHo52NsjKRJn++jJ4KUxpLETm6iq8prN64jXil\ng9Hukdpo0omHWN8/iq+p7Pl+4KeiRMNsjqeJ1ruB10fHRgqBG9aYeWIZqQk2b5olVu0QP7aBlFCZ\nzBBaqoEEOTtC+WcUxYfuO3bFSER0/CD4OlLwRCPDai/Cai/C9kgbVypMhk3SuouUsGxF8GSwK1yx\nIjzTSlJyQpxB8qZskbarc3O6SkS9uHhyfUHD1cjqDt+vDnGik+DaeJ0lK0hzHe8kX5eBY71ZYqsd\nfOaOrp9lvraG63ss1jboOCYXqmvcMLGXt2y/kYgWIhNO8BsHf5nz1RUSRpzz1VUAzpaXue/CE1S7\nTW6a2k/FDIgCK80tNEXF9T2y0SQTyQLPbp0npofZlpvAUHWSoRgLtXXWm2X2D2/j7458h6rZ5A0T\nV3GiOE/bNnl64yw9Nwjeq80tfClfFCX3UuFFzRhSSr/v1Pc1KWXnUg5ACPE24G6CvMXfSCn/60/8\nPwR8AbiOwDjq/VLKxZd7vo9+9KOcOHGCRsfETE1Qzh8gYlYwnA6+UJlafhAJLM69FTOaHxS9BSB8\nj5DbpBdOEbYb2EYC3QmUXVXporkW8c4GkaUy89t+mYQRR0h/YNhuhxLkyqdQpUesu8Xi9J19uu8F\nVN8halVZmbyNUK+O7nTphVJkq2eZWP0RZjSYqHTXopmcIWxWscIZQLI6dSu58mn2nPgH2vExekYC\nTw0R6Zbx1OeZH2lhqtkdhK06pZGDtLvjZNcPMzo09HJv508hvVon1O4F3uKGihTghjQM08ENa0Sr\nwccnWjOJldsYfbmPzHKV9EYTIaG4fYj1q0aJVrtkl2sgoBc1ULxg4lJdn9RWi3DXJty1qU5nWNs3\nSnqtTrhlUZ3OMvXUMrrtoVe76D2Pnq5SH0kQbVhUZrPoljsotI+cLSKB+ngK1fPBC2RQdMsZvPdu\nSBvIrXf6BlBXMt6aK5HSXMZDFp6E82aMmOrxeDPDei9CTHW5LV3hnkqBEcNiJtzFlYK5SIcFM0rJ\nCRFVPVatCD1fpeupfKs4ypZt8PahIj+q5yjaIa6O13m6HdR8jrTSHIg3mDdj3JiqvcZ34OVhIjXM\nXHacUqfG/uFtnK8GqUfLtblQDWx1T5eWWGkU2WiV2ZufJawbHFk/w1giz3R6hK5tMRzP8cTaSQDK\nnRoTyQJ1q4UqFAqxDNeM7mIiVeBzR74LSO7afgN/89S3MR2Lt+28iXvPPY4nfRZq61TNoKa00ihe\nXPAKwTt33cJjqye4enTHZQ0a8NJSVfcJIT4FfBUYBI++T8fLghBCBf4f4C5gFXhSCPFtKeXJ5z3t\nd4GalHK7EOIDwH8D3v9yzzk7OxvITJ/fpDp1OwAXdrwLIX3yxUBBRQDJ+iKTSw/QiQ1TzO/HVw2G\nt44ipE87OsxW4SCG3aaRmgmMmUJJot3AAEj1HYY3jwx0qjZGriPdWCJs1qhldhA2q5jRISZWH0Hz\netRTM3h9z49kY4FUcyXQr0oEKqyaZ9NKjKN4Do4exTbiXNj2dqaXvs/o5hEy9Xk0x0QA8fY6p676\nEOOrjzBUOYUENkYPBcqu2R1Bn0ofViSHWDvBnkvk0BapmwOZD/U5+fROj6XrJolVOkhV4CsKuaUq\nZipCJxvFTIZRHY9OLkZmPfiChNo9dv3wHEJKVg+MMXShwsyRVWrjKYQv8RWBE9FJbLWwozpWLMT0\nUytBUbtucqqQoJuOEC+16SXC2FGd7T+aR++5VKYzhNr2YCdTH00O3vNuJkqkYeFrCs3hBJrlEqmb\nmKkwzeEEiuvTKsRBEUwdXqE9FKM6fXkZay8WSc3lLbnS4PdRwyKhuXxhI9gR9XyFZ9sJfATrdoRr\nEnWOttJ8cWOC3x5bYcsO0XQ07qsFjXM/qmVZ7O8mjjSTFO2AdbXSi7Ar2uZMN86BRJOb0zXOd7tM\nhKzLfMWXBoaq8eFrLir6hvUQK40t3jBxFU+uneTY1gV+aeoA3zkdEFrWmhcn8/VWiQPD21mqb3K6\nvMBUaoRKt4GqVNx7OgAAIABJREFUaChC4a5tN/CtUw8Ojmv7DrYXLE5OFBfoOsE9W2lsDc6vqxp3\nbb+BC5U17pi7jpgR5kx5mb35GTKRJFcNX+zVupx4KYHjd/o/P/68v0nglYz8BuB8v5kQIcRXgHcD\nzw8c7wb+z/7jbwB/KYQQUspLV30TAilUyvmgOcfVwoGciNcj1Vzm3PZfASHIF59BlT4oCoXiswgk\nht1CCpV0Y4F6cppGahpP0VG9iwXJZHOFqFkmapZZnrqdam43jh5ltBN8QFTf4czeIBY+5zGOEFQy\nOxHSx1M0It0KpcIBhjcPk24s4qihfpk52AnVMjvI1M7RSE2TaiwOnFOkUGgnJnCMf9sz+1LA0y56\niyuez9jJTQAUxydZbKG6Po3RJIovyS3XiDQtVg+Ok9xsYqYirO0bxejaOCFtYPoUqZtE2gEpIdzq\nYXR6qJ6kFzVYvnaCyaOr7Hh4HisRIlYzMVMRZh9fIlo3aeZjLF8/jd61B+KF4WaPTi6YACVQmcrg\nRHRcQ6XWfxyrdFAdj9knltAcD6kIZp5awTAdMmsNnLAW9IFstWgOJ36u1/qVgqeaKe6t5BnSbd4x\ntMXTrRS7om0cFP61bDARtmi5wVRg+hpPNdM83UoyHTExhIcjFXbGOtQ9PdhlJFtMRyzOdmPckq4S\nVz0iistMpMu3iiPMmzFiqsvHJxdf10VygF1DU+waCnqg7pw7xJ1zgSS6EIJjWxe4aXI/jufy8NLT\nXDU8x8OLzwBwvrLGX9z5EardBp/t10B86ZMOx6lbbWbSo+wrbOPk1gKaonLH3HWApG61uWP2ENeP\n72WtWeK6sd1E9BC3Tl89GNPQ1Gsv5f9SOsdn/63/CyHuklLe9xLPPw4voKGsAm/4ec+RUrpCiAaQ\nA17Qmy+E+D3g9yCQj3458FV90LcBgvDmYbrRPDML96J5NsXCQRTp4GgRImYF1bNxtQipvrxCrFvE\nV3VCvSZmKEMltxvN6eArBnSLOFqYoeIxolYVXyiUc3sIWzUquT3ge0ysPEzYqlLO7SZiVplZ/iHl\nob2k6/NorkWyGTQOAihSsjRzJ4nWGtH2JvnycarZHUSsGrnqWRw1wvrYG7DCmcsSNADseIj5m2Yx\nujZmIkRysxkUtA31YprJdtH7dq9G12b6yWUMyyG7XKM8lyO7XKOZj9MYSaL1HKQqqI2nAin0mQwj\nZ0uonotnqMQrXRQJSs+lMplGAp1MhMJ8wGSJNoIVXKhjUx9JoHgS1fHILlYpT2dojiax42FSz66j\nmw4IApqvDJoYFTcoxWu2F5hUEfjGW4kw0YaFHdZfYCB1peJsJw4Iyk6IE+0Ez7RTLFsRfn10lUPJ\nBlndpmDY+FXBiNHjVCeOLVXOdeP8ztgSjlSYDFskNZeFboSJkMn5boz1XoR5M8aFbpSaa3C8kySr\nB++t5Sl4ErTXXh7tVcF1Y7u5bmz34Pd9/ZV/WDX48cpxRuJZvnXyh1w/vpdsJEnVbDKXHeeakZ0s\n1jfYP7KNvz38HTZaZa4f30M2kuS9V905OF4+lmY2M/ZT571S8PKroj+N/wa81MDxsz5WP7lEeTHP\nQUr5VwSsLw4dOvSKlznVod1UczuJt9eZWnoAgIhZIdFeC+TL03NY4Qy2kaQXTpGqL1IZ2j2QIdE8\nk2RjGd3t4qkGS1NvxLBbJFtB8UwKjVp2BzML9zK9eD/loatItoIYavRaxLqBrkyqvoCjRdFcC1eP\nsjZ2I4n2Gq3EOKFek240T74UUGETzVX8vvS66tvU03NwmWl6ZjqCmQ6C24VfmsMwHVqFOJ1coDpb\nmc4S6tik1xrUJtOMHet7uiuC7FIN1fXJbDQ59eadbP/RPLGaSS+q0xpOMPnsBp10mNpYkkSxjWYF\nZk6eoRGvdInXTOI1k82deRLlDs1CgkjdZObJwMOkNp4iWQq49OG2zWY2RrTaGdRZYuVuILjo+viG\nxvJ1k8TLHapTGaQiSG61aBXi2FGD+kSaXtx4gYHVlYqb0lVaFY2xkDVIMdVcg/sreU73G/nektti\nyYqw0QtzIN7gyWaGbdEOX90cp+Nr3J4p80g9iysVFqwoa73gPT7eTjCk29RciCoe7xra4mgrxfZo\nh5Dy+t5tvBxcP7GXvYVZ/q8f/X9IJKVOg9tnruFCdY2DIzv43NHv0ux1OFNeYqMVrH0Xauu/4KhX\nHi5l4Hg5a4tV4Pk0lAngJ+/ic89ZFUJoQAp42XWVlwSh0ImN0khNY9htmqmpweSuej2Gt46iSJ+t\n4avxVY3R9SeoZneieTZWKEnqeYFjfP0xNNeiG85Sye5Et9skmqvobrAq1u02vVASo9eilZzEVw1i\nnQ2aqWl0u0MnVsBXNOYW7sEKpxHSZ6h8Eomgmt1JrLNFeWgvVjhLunaeVnLysgeNn0QvGabX9yBv\nDScGgoJO1Ai6t4Vg8Yap/oScILnZZPhskU42Rrj5vBy5CCZtgFjdwlcUIm2bSNtm6ZoJIk0L3bSh\nBk5Ioz6WIrdcY/T0FrWx5OAwnqbQyUSINCzqEyli5Q6p9TqtoRhaz6W0fYgtVSFaN2mMJvF1FaPr\nMPHMGtWZLJXZ3OBY3ezlk3cAWLHCnOok2BdvMhbq0fMVQor/c5/v+AK9P3HPRkx+fyLYFS+bYb5f\nVRgPWwj5HPFDstEL40kFUwaSIjelqyRUl3PdYLe6aoUHqVFVwE2pGk+3ktyQqnNNosG8GWUqbJLQ\nPN4aKv2MEb0QNUfnyWaK6bDJeNji4VqWrO5wQ+r1x8R6DieK83zvzCNMJPPEjQgtu0siFOEfTz2E\nRNLsdWj1AjJNo9fhzduu53Rpidtnr/kFR77ycCkDx8tZXjwJ7BBCzAJrwAeAn1Qj+zbwW8CPgV8F\nfnBJ6xt9hKwaqmf/VIe1VFTWJi8aqqxJn1CvjhnOkWwFLIuwWSNiBrEsYlYx7BapxiKt+BjV7A5s\nPcZUvztckS6Z2nkU6RO2GtRTMxh2sArG91mbuJlM7TyxzhbNxATx1hohu4VEYEaCiSts1bFCgYaQ\nQNJIzbA5dsNgjFuRi85sAHqvhSJdeuEXehu/JpCSqcMrJIpttnYVKG8bGkzI5W1DdHJR5h5dJF7p\nsLUjj1SgOZwkWjfJny/THEnghDUSfW2p4bNFwh0bT1NY2zNMstwhtdFEt/qGTJbL8jUT6KZNdTrL\n0EIF1fbAl0wdCQrqTkjjzJsuagT1kmGMjo0rJaOnNhESjJNb1Mdfu9zy17fGsHyV0504V8VbPN7I\nsC3S4bpknXsqBcZCFu/Ob6II+NdyniOtNFfFmlydaPJ0K8neeJu5SIeeVHnP8AYpzaXtKuQMmyHd\nJq55lO0QIcXnZDvBlhNGw+faRJ2yY3B7Jvh8L1sRroq38KTghlSNqOpzvJ3AlYKY4nFfZYi6q/Pm\nbImM/sLmwEfrGR6uZ9kba1F3dZatKIebafbEWoMu9pGQxVT4yiusH1k/zf0XnmRnbop37b6VlWaR\nXDQVaFk1y0SNMI+tnKBtm5wuL/PBA2+hYbW5qjDLZ3/8NXqeQyoc5z1XvZFzlRVunjzAcmNzIG/y\nfCzWNvClZC77P0eq6iWjX7P4QwK5dhX4OynlCSHEfwaeklJ+G/hb4ItCiPMEO40PXOpxhLtlZufv\nQSBZH70Bw2kR6jXZGrkO24iTrZxBCpVadgfN1DTZioUAioWDGL0GxfwBpKIQ7RSpZncyvhZ4b2ie\nRb50HN01qaVn8bQI9fQck8sPErJbOEYUK5Klnp5jZimQKXiuRwQg2i1iRob6z41Ryu9jZOsonWiB\n4vA12KEEjh7H0WMMFZ+lEx8d0HafQ6RbYmbhPoT0WZm8lVZq+lLfvuAeNi3CTYvGaBLV8YhVu7Ty\ncfyfqAGotjfwCU+v1jG6NtG6ycaeETpDMXTTHWxdja5NcrPF0HyVhRtnWLp+isK5Em5I49SbduKr\nCrOPLwJBqiu/UMGwXOLlNsW5HLFql61dBSINi/R6E19TGD4brIaH+8dRXRsnHHwNIvUubkgnXmoz\nfnwDV1fppiPEaiadoRdScGPlNp6uXjadqqjqYfkqUdXjVDvYBVwwYzi+oOHqNFydm1I18kaPk51g\nZ3eyk2DJjND2dc504+yKtjnRSRJRXO7IVPiXSoGE6vLb4yvEVI/fHg9201/cGAcn6DJ/c7aMpkg2\neiHureTJGzYrZphvlUbRhc8t6So/qAWfua1eiMOtILhGFJ935gPyx5oVRhWSw80UrlR4tp1iZzT4\nDIQUn1S/+1zFJ6a+Cs2olwCPLh+jbZsc2TgDAo6snyFuRLhl6iD/ev4xdEXllumrWWlsMpbI893T\nD9OyuzR7HT5w4C7OlVd44+y1fO/so5wpLTESz3Hf+ceRQPPso+zJzwAB1fcfng36rt63703sH972\n2l30v4FLGTgWX86LpJT/DPzzT/zt/3jeYwt43ysa2S+A7nQG/Rqxztag2O0rOmZkiJHNwGbTU3XC\nVpWhciAzsVU4SKqxRLy9wcLc24jGS0hFY3XqVmKtdTqxkYEOle5alIavYWrxBwjfY2P0ejLVc4xs\nHsFVDMxIjohZoZWapKbvIl27QC2zHdtIUMvuwIzkAu/x7E5q2Z0gBJ34GLYeY3L5QaJmGb98kjO7\n3otUdaKdIonmMp6iI2SQ0ghb9VclcCgS5h5dQPElsUqHWKWDYbl0stEX2K9CUCivjadIFNs0R5IU\nLgR53vyFEvFym1DLojydQQC+Il7QVxEvB8KC6fUGEhg5U8QJaWzuKtAcTjByegvDatOLGSSKLSJt\nm8xKjcxaAyFh+EyJdi5KvNKllU9QnMtRuFCilY+Tm68wenoLTxW0h4KJWXM8VrcNsRYLYUcvMqey\nS9VArBGYv3kGM/3qp61+Y2SVRSvKbKTL2U6MRxtZ9sRaZDSH5V6EvG7zj8VhGq7OnniLJTPKgUST\nZStC29JJaQ7NvmSI6auc68aQCJqezpFmihOdBNNhkzdlSsyFO+R1m/GQyd+tT5I3bFwpWOtFWOtF\n6PkKEoEt1YEMCUBUdQkJj55UGenTcU+24/xjaRSQHIg3OdlJsDfW5i25Ime7cUZDFlnNYSpsktRc\ncvork2J/tXBwZAf3X3iCbdkJqt2ANt62TVabQS3S8T1GE0P872/8Xapmk/+7z6Rarm/x1NopLNem\nZXc5thU0ID+1eoqxZJ61ZomZ9CibrQrHti68QIy51bukLXOXFL8wcAgh3gXc25/Afy6klO+5ZKO6\nzGglJynl96N6PaqZHcTbG6i+jRnJ4T+vTqD47gvsXsNWFYFE83oMlY6TqQcfivXRQySby6QaS1Qz\n2wlbderpOeKtNcK9IIcbNA72c8wCFqfvRJGS4a0jZKtn2Rq+lnTtPLFukXZ8lGZyitGNJ4Egfabb\nHfKlY7iqgW0E23xJ36lQ+kwu/RDVd7C1GNXsThTfoZq7yAK5lAiaI/v5b8dDs/tsJMth7Ng6quOx\nftUoqY0m4ZZFcWeBrV0Fov10U6hj04uFyPfZUPVRlW4mitHpYSZCIMA1NHqxENDG0xRi1S6KLwmZ\nDr2YwfixdcINk60deerjKXY9EHh0RGsm7VyMRLlDeyjG+r5RcgtlrFSUwnyF7GqDzGpjUH9RPUmr\nEEd1PXqxEEYnUOstz2SZeHYd3XIx0+HBdeumi3kZMlhxzWNfPKjzXJNsck3yosz5vniLFSvCV7YC\nR0jHV9gbb+NLwXsLG5zuxAkpHgXd5pFGjoTqsCvWpuHpZDSbC90oVceg6hg4PhzvpABJxTEoO4Es\n+6FE0NCXUB1uSlWxfIWI4nNntsxwyOJCN4YuJP9pfAnLVznSSvGF9QmGjV5/lILxkMU788UXjPs5\nbIt2X90b+AqRjiS4dmwPt04fxPYcfrhwmKn0CPsLwY7Akz5Pb5xBVRR25Ca5bfpq1ltlbpi4ii/3\ndxBt2+SqwhynS4scmtjDvsIch9dPc2B4O59/+p9p9jrE9DBvnL0Wz/cRKBzfmmdbdpx/OvUgrvT5\nD7tvu6zy6T8PL2bH8VWgI4T4F+DLwD1SyitzP/lyIRRKwwcHv85vexvjq4+Sqi+wNnEzq5O3EO5W\nGV1/Al+oFAsHghVXKInuWoF0eeiik1zErKJ5AS1R8V2iZpnIapn18Rux9RiK76A5HVw1RCW7k2i3\nzO7TX6eU30e6Pg9ArnIKo9fsH69CI3WRDe0LlZAVfJE1z2a1cIBwr4mtR5lZuBdXDeOreuBTrodf\nUP94NeAJWL52gmitGzTJ5eN4uooT0Rk+F6SGfFUhsxak4FTHI1oz0XsujeE48zfOIKQktdFAc3x8\nVQx6QCpTGTKrdaaeXmVrxxDlmSxaz6U5kiDSsHDDWqAp1VezjTRMStuHqExnCDcsSjvy+EpAA7aj\nOsNniuSWa0gqNJ/n/leZyuArAjekMXShjG57tHNxxk4FE53R7g18Q8xUiPJMFs9QEb7P1OEVKjOX\nphFwZWWFZld9ySZGEtBUG0+oLLRUbDW4tqNVI3D3E4KQ18FWwkihcrQeJeR3aAkDiQ8qqNLhbFMP\nksYStto+qBIFj3NVl5io0/GjfGklj+GbdLQUZ1tTaLKHpSY4003wWCmEiktLC6LppqkQksEi6ceb\ngsc2X/x1rXdV2iuvvWhkw2rzjeM/QCKpmg1++9p38sEDbxn8/9f2v5n/8sDnsD2HhdoGB0a28/jq\nCXbmptidn+Y9e+9gqb7BL00fJG5EOJOfYSJZ4GvHv89qs8iTa6eIaAHbzdB07pw7xIOLR/mXc0FP\n1w3jezlZWgTgqfXTvHH22st+D34SLyZwnAbuJChM/zHwOSHEt4AvSykffDUH91oh2g2a9QAytfOU\nCgeIdEoIJKp0MewW6foCEsHK1O3kyidJtNYp9uVLhO9ihrOAxNGDtIcAVN/l/K7/SLS9ycxiYBbj\nq9rASjbRXKMTGyHa2aSensXVIqRr8/TCKXKVkzSSUzh6jJGNp+iFkjQTE1iRHN34KGaswPDm4UGR\nfn30BqSiDbrP/3/2zjw8qvJ8/59zZp/JzGQmK1kIhIR9J+wKYRPBCqKIP4uigsWlVmultdWvtXpV\ntBWtW1UsorYWERSLiIqRRWQP+xbCGrIvk8y+z5zz++OEQa0LKEK03tfFlTMzZ+ac8zJznvd9nue+\n7+8b3kwL6nCM7APKDb++Szq+VBNpxxwIkkwg2YCl3oMqLhPVqVFHlLy2NhjD0uAlYtBw5OJOJNe6\nW0frtAnQKQc/vTuEtbU+IkgyLe1tZB5uJOtgPX6bAb03jDPXRtb+euxVTqI6NQGbgbzSSoyeMEZP\nGGf26RuXN82EpBJxt7NgcioS7kGLHn1ASZcYXIGEXEzIrMPoCSmFdQRMLQGaOtrJ3VuLICs1nvPT\n6vflEABzXFnNRgQdkcTzckJ9UxJUyK2Cm3FUeFXJIIiopAi6uI+IaEBDHF3cTxwVaqIY4l6CKjN+\nlbIKkUQtYbRIgogkqJEEED8jkimgqEULchxZUKGRI+il4HkciXMPrUqDTq0hFIugEdU8seHfqEU1\n1/edwP7G44RiYVKMVuq8DlJNyRxsVPTgDjdXEo3HCMbCHHfWkmywUOmu57CjEqNGR5JWWTnEpDjX\n9b2UcsdJdtUd5rH1ryVMoABSTIr6rSzL5FrPnz3C1+FMAocsy7ITxcjpH4IgZALTgMcEQciRZblt\nqLqdQwSMacRUOkQpiioWpGvZEgKGVMU7XK0nplJmBwIyFvfJBOciok3C7FM6rVrsnRXtKm81LmsH\nVPEI2pAbTcRHRGchptKijkcIGDIAFYagA7+5Hbqwm5rsYajjETLrSvFYO2D2VKGN+tGHXPhNGajj\nYdSBJo53mkBIbyPvRAmmQCMua0dkBOIqHX5z1nkj/p1C1KhN3Gg1wQjZ+zw0FqQRNahJrnHTnGcn\nnKQjyeHDnWlGFpUGz+z9dciAo2MKaSeUdFV95zRMzgCyAA2Faeg9IbxpJpKaA6jiksLwbtW90oZi\nODqmYHA3klHeiKRWbo6acAxVNE7Abmzlg2gJJWnxpprwpiaRvb9eqaVoxISrILJMwKpHE4oRSdLh\nj0l4M8zENCrCJi2uQgs5+5TgmHmokbBJh94XJpSkA9d37wbKzc3FGaj5ztaxqxwSnriGCSlNHPSH\naI5quTi5meNBI8eDJgZYnLxZn01EhnaGODVhpeYha4wkq6M0RPQEBS1Z2hBVYYGYoGWwpYWtHh1m\nVZRL0pt5t6kdOlFiRk49u7zWVgMnH6/X5aCVYXJaDQWmb5+CeuGwFVsbEI00aHTcOvBK6rwOaj0O\nDjcrvKBPKnayq04RzhzWvjdmrRFREOiamsf2mjJyrOk4gx7WHN9OKBZhzfHShGtfOBblur4jOdR0\nkia/kyX7V9Mro1NCYDEmxbms83CMWj29MjrRK6MASZaw6NqGTtqZBI7P8TNkWa4HngGeEQTh+2nR\nucCI6swc6XIlgizR8fgHABiDDk50HI+AREh/qnirwZuUhcVbpbCWk9phdVcgyhLIEhaP8gWL6Mwk\n+WoVS9SID39SJiGdDZe9AFvLEUyBRkUqxHUcTSxEkq+OmFqPOh7B3nIYZ3IntK5jBIxpuJLzMQaa\nCOrtxFR6tGF3InDpwy7Ku01FFlTI4vlvmPOlJXFseEcEGTpsrUAVl9H5wsps3R3C7PDjyjST3Con\ncnxIHpbWbQESTG1Q9KrMTX7M+GnqmIKl0Yu1wUt9QSrG1g4uZ64NVUwiYtQqaTJJRu8LU9sjE0kl\n4LcbkVQq9O4QAYsOZ24y2QeUTp+4RnX6iy3JRPVqpX5h0RNKNhAyaSnc2KokLMsY3CHl891B/LbW\nTqu0JOq6ZaD3hAgmG0hZ0zasUiuDenZ4ldZrgxinoyGAKMgYVHFy9CFMqjg5ujBXZdRS5jMzLLmF\ntc40yvxmuhl9uFoL3rpWoyZHs44sXYhiezP9zG6S1HG0oswk6lABJ4JGNruVVJ07piYgKd+9+oj+\nOwWOtgS70YLdaCHFaGVXfTkaUU2BPZfddYeRUXzATwUUu9FCv6wurDm+nYONJ+ic2p6ypgoK7Ln0\nyiyg2t2ATq1lR80h8u3ZrK9QSMM6lZZ25hRaAh76tutMYcrpoJmkbVsuk2dyd7n7q16QZfnkOTyX\nNgVZVCGj6FelNewlYEwjr6IkQfgz+erRh11IoprGtF5Y3CeRBZGKDuOweKrwWNtj9taijgXxJ2WT\n5KtHJUWRRBUZDcoXRZRiiTSVyd9ASG9H46slpEvGb8ogpbkMrzmHiM5CZe4IALJrNhPU2XCk9qDw\nyHIkRDyW9hiCDhyp3ZFUuq+8pvOBU+2p/tQkLA1efKkmonqNItFh1LTau3qRVAK2Sid6b5iW3GTC\nBkX9tqmjnahRS1SrwlbrQUZptT0leaT3RxLtvHGNCnUoitEVxNXOQlSvJmzSIguQ1BzA6AyCRKI2\nEXaGPpN60lNv1qGKSQSsBlRxCW9qEmknmkmraCFk0hLVqdGEY61FeaWOEkw2crKoPZpQlKhBA4JA\noI2p5Sap46gEibgsIskCy5vaAeCJqdnhSSYqiwy0ODkSMOGKaQlJKvqaPYhI9DJ7MKtjbHLZ6GHy\nEpZUaEUJvRjnRNDIssZ2mFUxBlmdrGpW0iaf9SPP0EZI14aRZOiedOGdF6qqqvC43Dy9btEZ7S/J\nEhIyauGrybM6VBCXWXNoK2bRgIzM8YbKxOt7qw4TbXWOicsSNc31WAUDh5srOdxciR41oVbz1F21\n5YitnjmNbgcGUUsSOt7f9+k3nmcMCQ2qhMjiN6Ha1YhHDH/zjmeAbwwcsiyvO7XdmqYahFKLK21d\nffwgofE1Yd+77Iz2bQG04VrEVqaupX4fekH5Ytjq96BBQhBAV7mBOAJaQcLmKMMlq0kSIKl6By2o\n0CAQcjswCopDmuBtxKvSoxfiRCIxhGgDLlmLNugiNdRCWBbQemoVlV0ZwoioBAljqJm0yg0IgoQK\nCdlVTzNq1JW7sFfuOutxgO/mV/xlDoABGcJqiLcos3CHCuKROPLJEM0q5eZtb1XDFX0hkmUQEYgi\n41VJWGUBp0pWfn4VDfgEAVGAaKMTCRERAVWTG22rM6Cpxokky2jDUWwtPkBUVggnGlrdDkGsb8En\nCsSQSTncgKbVZTBVFhAQMNeeWjEIaP1hHGoJtQoi9c1EgKAKYi4Pqav3f+U4cOEzK9g1UWZlVeKJ\naZBlxRsDFA+NaKvboauV+wHgiGp5u7EdUVnkZMhEmibMiZCJw/4k7JpogicSlQVisogzpqUurE8c\nL0sXJEUbQSPIDLC4KbK2jZXX2SIuS7glpa5lFLQYRO3X7h+SIsSRMQhaREEgWTDgk8P45QhGQauI\np8oSASmCmtOBKIaEgICMjAoRs6hHbp3S+KUwIgJ6QfNfASEkRYkSR48anxxGQkaDCovq/K9Gzjif\nIQjCzcAfgTUov/tnBUF4WJblhd/XyX1f6NKlyxnv+1mSusvlIhaLkZucjNvtJhgMkpmSgtPpJBwO\nYzWbCIfDRKMSahEy1RCNyuiEKHl5WciyTFNTE6JoxO12o1erMIoxsrKyqK2tRZZl1BoBWRaIx0En\nyBgMeoLBIKIokJuaQnNzMxqNhpy0NBwOB6Io0iE9HVH8tppJmWc1Hl/Et32vJEnU1NQQjUbJTLbj\ndruRJAmTVoc2GkWWZWxaLVqtFp/Ph9FoxGQy0dzcjN6ox2azIcsyfr+fSCRCzOtFp1aDDPYkM7Is\nI4oi2nCYaDRKSkoKYnMzsixjNBoJBJQUil2jR5IkYrEYJr0Bu92Oz+cjKSmJAr3+G67iC8j99uNx\ntqgP6zjkT6J7kvdL3fhStdGEZeyU9DqCcZG+Zg8p2igNYR3DbS10M/k4HDAxyOJipSOD5qgWqzpK\noNUEKiyLdDH5qA7rydSGGWRxUR/WY1HHGGV3kKyOIgrQ3+JBPINJrzumJkkVSzgQng/k5ubilnTc\nVfxFQYqhqiPxAAAgAElEQVT/xvGWWl7d9R4AealZ+CJBJFliWs+x7Kg9hDvkZVzBYCw6Eydd9by8\n410AurfL54puI6lyN/KP7f8BoJ09nRl9J/DndQuJxeMIosDYjoOo8zYxJn8gGpWaQ01KwqZXZieM\nGj0fHtnMpkplAnZFr1F0TcsjGA1T4arDrrfw921vAZBhtePzNIEMNpOFO4acGc3t6XWLsOamn90A\nfgXOJhH+W6CfLMvNAIIgpACbgB9c4Pjd7353Rvtt27aNBx54gJSUFJ5++mnWrVuHVqtl0qRJn5sN\nRKNR6urqyMnJ4eTJk7z//vukpKRw+PBh1q5dS25uLv/4xz946aWXeOst5T/fbDYTDAaRZZnrr7+e\nV199lfr6ejp37sz48eN5++23GTZsGLm5uTQ3N9O3b1969fpqY/oPP/wQh8PB1KlT0Z/tDe874EzH\n8hR8Ph/79u2jV69eaLVa3G43aWlpnDhxgo8++ohRo0bx+9//HqfTSbdu3Th6VOFjhMNhsrOzaWpq\nIhAIMHbsWN59912Sk5N54403uPXWW2lsbEQURYqLi3G73fTp04fnnnsOgK5du7Jp0yZkWaZv377k\n5uZSWlrKzTffTNeuXTlw4AD9+vXDZGpbaaevwuL6LAKSmn0+M/0tbjY47XQz+ZiU3vA5nSqAbiZf\nYnuA5fRqwJrkTXAprm9XxRa3jdqQns4mH7n6IO6Yhk0uO8U2B0OtLgQB7mhfkXj/RbYvN2uSTzdy\n4YqqMatjrG5JY7snmWxdkOvbVZ9RoDnf6Ghrx/D2vWkOuEkxWClrbYFde3w7u+uPAKBRaRiR1xdR\nEFAJInFZIi7Fmbfh39gNFrLNadT7mrFojSwvW0+2JZ0Tzlo62LIY0aEvu+oOs+7ETobk9mDtiR0E\noiEONB5n5oDLseqUZhZREBJF8Nd2raTW6yDdZMOkMeCPBkkz2Rjevg+HHCcZktPzgozV2QSOauCz\nSUsvn5dE/9Fh/fr1RCIR6urqWLhwIR9++CEARqORcePGJfbTaDQJKfeOHTvS3NzMW2+9hd1uZ/bs\n2SxZsoT77ruPCRMmIIoiOp0OrVaLJEkUFRXxwQcfoNVqmTlzJuvWrePpp5/m7rvv5rXXXsPhcDB0\n6FCuv/76/zq/0tJSqquryczM5C9/+QsAgUCA2bNnn4fR+Xb4zW9+w5EjR+jatSuPPfYYhw8fxmAw\nsGPHDhYvXsz777/P3LlzqaysZPjw4axdu5Z33nmHiRMnotFoOHbsGH379qW+XsmSulwuXnjhBerr\n61Gr1fztb3/jV7/6FQDNzc0UFBRQV1fH5MmTueSSSzh48CBXXXUVqampjB8/Ho/Hg81m46KLLsLl\nchEMBjEYDOzevRuAvn37fuW1XEhoRZmApPzd5bESR2S/34KhOUapx06h0Uc3k4+VjnSytGGuSK9j\nq9uGRR2jyOJih0dpSx5gcSMKYFRJ7PFaCUoqasJ6ftP+OI9XFgCw3WNj2BdsYHd5LDRHtQxNdrLN\nnczxoJGRtmaOBkzs8lopsrgQgG0eGxnaEJHWlOIp5vlnbWjbCgRBYHzhEADqvA6215YhyzKdU/PY\n33icmBQnFo/xt01voFVpuKbXWGRgT90RPGE/nrCfG/pNxKQx8Py2twHokppHt7QO1Hkc7KwtZ3mZ\n4jDqCLiJtnr2hOMRNpzcw+bKffTK6ESq0cqCHcvpYMvCGVJuuZ6wnzuGXE2jz0lHWxYqUaR7+tc6\nXXyvOBPm+G9aN2uArYIgLEepcUwGtn2P53bB8bOf/Yxdu3aRmppKQUFB4vm9e/fy+OOPU1RUxIwZ\nM3jkkUew2+088sgjJCUlUVenSIW7XC527dqFy+Vi+/btzJgxg0WLFvGvf/2LlStXIggC/fr1S8yK\njx07xvHjCgFw7dq1uFzKj7WxUemacjgczJkzB6/Xy2233cbcuXORZZni4uLEuZ3P1ca3QW1tbeLv\nXXfdxcmTJ+nRowfp6coS2uPxsG7dOpYtW8ZHH33EHXfcwdq1azlx4gR33HFHIkAUFxcjiiIFBQXs\n2KFIwsRiMbRaLSkpSkqvsLCQ8ePHk5KSgtFo5B//+AdGo5Hk5GSOHDnCbbfdRjwe584778Rut/Pw\nww9jsViYOXMmTz75JAAPPfQQI0aMuDCD9TX4eWY1x4ImCo1+DvjMCfHAQ606VUcCSa2eGCJVYQOr\nW9ISGlbuqJpS7ymRTKiL6InJAhnaEBUhE+naCNu8yXRstZHtneTBH1fxRn02vpiKYlszH7QWxj0x\ndUKa/RNnCk0RHTICu71WktXKjbEhomdiSgM7vFY6G/1tMmh8Ee3Mqfz2ousAxYUvy5KKPxJkT90R\nZCAcj9Lod9IccJNqsqJuVmEzWMgypxGVYmhVaiLxGHq1lj2tq5XSmjKSdEa84QBpJivjOg1ic9U+\n+rQr5L1DGwjGwuxvOE6WJY2YFOdocxVTuhdT4aylT2YhFp3pB9WOe4pee6z13yksP/en07bQtWtX\n/v3vfwNKrcNms6HVavnXv/5FNBpl8+bNGAwGqqurqa6uZuXKlWzdupWsrCxycnKw2WzY7XZ2795N\nbm4uKSkpZGRk4Pf7P/eZNpsNn8/HsGHD8Pv9VFRUMGzYMLp164bL5SIvL48XXngBu93OyZNKXnTr\n1q2J+ktycjLz5s3D4XAwduzYCzNYZ4gHH3yQkpISxo8fz//93/8B0NDQwG9/+1t8Ph95eXkcPHgQ\nSZLYvXs3r7zyCnv27GHPnj2Iosj77yuyZmq1mn379rF9+3ZmzpzJiRMnUKvV3HXXXVgsFh5++GGq\nq6u5/fbbMRgMTJgwgXffVXLSHTp0wGQyEW8lrtXW1nLs2DEkScLlcnHo0KHE+TY3N5/nETozJGti\nDNAoaaehyU6GJitpox0eK5tcNron+cjShWhyKK20qZowYEZAxqg+3fZcF9Gxz6cUzy+yNjPa3syH\njjQ+caaiFSTuzDlOU0zH0YAp4eVRETKgQiKOiFUdJUMboiGip5MhQL4hwE6vlQFmNzn6IJ86U+hk\n9NPX4qHvZ2RSfgjQqE7fHms9TRxoPE73tHyagx7MWgM7a8tpCXpQCSKDc3qwuWofK8s3MqZTEd3T\nOmLRJzGiQ1+a/C5qvU30yuhEYUoun5zYSSd7DsedNRxuruRoSxU90juxr+EovTI60cmezUq/k7zk\nTMoaT+CNBBJkwbaCM+mqeuh8nEhbhyAIjB6tOHS53W7+/ve/061bN4YNG8aGDRuw2Wzs3r2bXbuU\nrqbx48ezdOlS1Go1v/71r3nqqaeYOXMmTz/9NDNnzkzMkh955BHMZjO/+93v+Otf/4osy9x99908\n8cQTSJLEtGnTePHFF5EkiX79+pGbm4vP5+Oqq65i5MiRHD16FLVajVarZfz48RdsfM4UAwcOZOBA\nRfb9oYceYs2aNbhcLubMmcOtt97KmDFjWL16NTU1NfTp04fBgwezadMmLBYLXbp0SQSOQCCQCMBO\np5O0tDRcLhehUIhQKEQ0GuXECYWHEQwGEysxURRJSkpi165dDBs2DJPJRGVlJRqNhq5du5Kens6t\nt95KSooi9X7ZZZd98RLaNAZY3J+rY5yqb8gyZOgiJKlitNOFsbeKCZpVMQ62eo9HZIHygCnhjyAg\n83ZjFjURA2kaJfj442oGWNwMtTpxxrR0NvqQacYfV2NpVbkdZT8dbAvauAbVmSAaj/HWgTVIskyt\n18GkriM46arDGfLSEvRg1hnZU6+sRPY2HMUT9lPhqkMUBAbldGf2wCtwBX3o1Bo+PraNvQ1H2dtw\nlO5pSqpJkmX6ZhZS3LE/aaZkDjVVMDinBzaDmXcPKW25W6r3M6nrxV9zlucXZ9NVtZYvd94b/SW7\n/6hx2WWXIUkSTz75JOXl5fzjH//gyJEjHDhwAACbzUYspvyIYrEY+/fvJxaLEYvF+PDDD1m5ciXx\neByDwYAkSbjdbkpLS4lGW43rDxxAkpTlvNfrRavVEgqFSE1N5cknn2TZsmX84Q9/oLi4mMbGRjZt\n2oRGo2Hx4sXY7edGM+l8YNCgQbRv355rr70WgDfffJOamhqOHz/O3//+d44ePcrevXt55pln6NCh\nA0lJSeTn56NSqcjLy6Ouri5RbK+qqsJgMJCVlYXNZsNisaDX6xk4cCBdu3blpptuIisrC7PZzNq1\na1m9ejWgBPht25SM67333sull14KwMyZMwF48cUX2bVrF7/4xS8oKiq6AKN0biAIEJZE/tOYQ44u\nyITUBtY507Cqo9ySc5K6sI53mhR5mh4mT0K1dmMrsc8V0zIn7/PqrRm6091cp4LGjxFqUYXdYMER\ncGPTW3h99wfEZYmOtnYMyOpKS9BDqtHKgcbj9MoowB9RJFY0ohqNqKbG08SrO1cgA11bpUREQaB/\nVldMWj12g5W3D64hGA0zrtNgSo5tQ0amky0bk0ZPMBamwJ5zAUfgv3E2xfE5n9nWA1cBP95vyzfg\n4MGDAPj9fhYtWsSqVasQBIH777+furo6rFYrVqsVtVpNv379cLlcaDQaZFlOBAitVkteXh4pKSlM\nnTqVYDBILBZj4sSJ5OfnU1VVRZcuXbjkkkvYtGkTpaWlvPjii6xbtw6Xy8V//vMfBg/+okV724Xf\n72fOnDnU1tbywAMPUFRUREpKCr1792bv3r306NGDV155BVC6qLZt24YkSVRVVZGRkcGmTZuYOXMm\nEydO5O2336awsJArr7ySSZMmARCJRFiwYAEajYYrrrgCv99PdnY2f/3rXykpKWHevHmIopioWWg0\nGrp160ZJSQkajSZRx1q+fDkbN25k3LhxvPnmmwAsXLjwBx04AHZ5LURlkRMhE2taTtvG5uqDpGqj\nrcwCAQmBna01kP5mF4G4ip5J3kTQiMkCYUlss94Z5xqCIPCLoiuo9TpIMyXzzOY3icclVIKKHbVK\nWjMQDdHRlsXW6gMMyenJxXl9qHY3caS5Cm84QFRSxio9yc6U1PboVBrePrCGYCzMwOxuBKIKMa/W\n24RaFIlKcZJ0Bu7u83NiUgyjpm3VLs84cMiyvOMLT20UBOFbixwKgmBHUd7tgOLlMa1VE+uL+30I\nDAE2yLL8s297vHON6667DqfTSbt27dBqFaKQLMts2bIlMZu9+eabWbBgAUuWLOFPf/oTbreburo6\nCgsLqaysRK1WM3fuXH75y18ye/Zs7rjjDkpKSrjjjjuYOHEilZWVLF++nKysLEwmExUVFVRUVHDl\nlVeybNkyLr74Yu655x4++OADevTo0eZXG/v370/UD1asWMFzzz1HQ0MDDz30ELfffjuHDh3CZDLh\n9/vp2LEje/fuJRAIYDQaee89pb9+yZIlGAwG/v73vwOgUqm4/vrrefPNN9FqtVx22WV06tQJg8GA\n3+/HYDCwdetWjh1TynOSJDFw4EBGjhyJWq0mHo/zyiuvUFJSwlNPPcUVV1zB008/jSzLNDQ00KFD\nByoqKn4wQcMZVWMQJfRfUoDuZ/ZQH9aTow+SrQtyKGBGLUgc8ifREtVyaUojGlFGQKastZBuVMXp\nYvKxrKEdVleMq9JreaM+G1dMw6UpTfS3/DDJfmcLg0ZHJ7siWz9rwCSq3I10T+vAyztW0Bx0k5mU\nkiiCH2g8jiiKuEM+TrrruG3QVZQ1ZaBVaYjG42xrVc4NxpRgEYpF6J/VBWfQy+j8Ii7u0Jc6r4Oe\nGZ3QqtRoVedfPuibcDapqs/elUSgiO9GOf49sFqW5ccEQfh96+N7v2S/xwEjcMt3ONY5hd/v58SJ\nE9x7770kJyezd+9eBEEgKysLp/N07Pvs9saNGykpKQHg//2//8eRI0doamri+eefp6ZGEUbcvHkz\n5eXlAOzevTtRvG1paaG4uJgjR45QUFDAoEGD+PnPf44kSbz22mt06tTpazkebQU9evSgc+fO1NTU\nkJ+fz/r16wF477332Lp1K5FIhEsvvRRRFNm/fz933nknoVAIk8mE1+tl586dDB48GKPxdKGwurqa\nkpISBEEg2kocPHr0KI8++igOh4PVq1fz+9//nszMTC6//HI8Hg/Nzc307NmTW2+9lWAwyCWXXMJH\nH30EKJ1wubm5VFZW0rVrV+655x6cTicZGW1DlfTrsMNjZVVzOkYxxqzsSszqOKVuK1vdNnqbPYyw\ntVBg8KMTFaWDXEOIYFzkzQYlDaISZDK0YY4ETPRM8mBRxRhidfJRczphWUVjRLGudcWUidLRgJFC\now+jKk5MFtnhsZKqidDZ5CcQF9nstmNXRz7nHfJjQDtzakKs8JZBU3D4XWRZUjFpDeytP8JFeX04\n1lKDO+QjxWDln7vexxsJMCinO5+eVGqgwUiYwTk9aA56GJU/gFRj8n8doy3jbELZDkhI/URRVgmz\nvsOxJwPFrduvAev4ksAhy/JqQRCKv/j8hcR9993H3r17ycrKYvjw4SxdupTU1FTmzZvHokWLuPji\ni7n00kspKipKzGp79uyZCBxftEy/7LLLKC8vZ8aMGQwaNIj169dz6aWX4nA4qK+vJyUlhX379nHb\nbbdRVlbG73//e9LT0+natWvi5tulS5fPtQy3RSQlJTF//nxACb7bt2+nvr6eoUOH8umnShHQ5XKx\nZcsWQEk9eb1eamtr6d27NxMmTGDp0qUcOHCAefPmEQwG2bhxY6IeZDabSUlJoX379ixcuJDs7OzP\ntTJPmTKFm2++mU8++YSysjKCQSUX7fV6KSws5MiRI/Tt25fbb7+dqqoqCgoKUKlUP4igAVAVUqQn\nApIaR1SLWR1kg8tOUFKzwWUnFBfZ7lW8ygdbnZQ0p9FOFyJZHcUV09BOG2KLR5kfqsIyk3IaCEsi\nKZowBjGOWRXDH1ORr/fjk9QYVHGerconQxsiQxtmr0+RXp+VVckObzK7vQpXJE0bIacN+oifC+jV\nWnKsSiv5pYVDyLWkU3JsGx1tWczsfzlalYYXSxVpo3pvC9mtrn/5Kdlc1mX4hTz174SzCRz3Ah/K\nsuwRBOEBoD/wXVomMmRZrgOQZblOEIRzw4U/D2hoUBRWHQ4Hhw8fTmy/9NJLbNqkmK8MGzaMu+++\nm6ysLH75y1/y8ssvM2TIEEaOHElxcTEff/wxsViMoUOH4vF4uPPOO3n11VfZs2cPN910E3PnzsXp\ndNK/f382bdqE1+vl0KFD5OXlJY5ntSo/TJ1Oh9ls/pIzbbswmUw8++yziceCIHDs2DGmTJlCTU0N\nVVVV9O7dO9FC29jYmAgCBw8eZMuWLXz88ceMGTOGHj16cPz4cQKBAL1790aj0bBlyxaOHDnCrbfe\nyuHDh9HpdJSWliYY/xaLhfvuu4+ysjKuueYabDYb9fX15ObmIgjCeZMOOZcYltyCL65CK0gc8Zuw\nqGJ0M/nY6U2mi9FHeeC0V3lEEmiK6miK6hhrb2C3N1mRuNcFqQkb6GAIIMmwqC6buoieLF0IFTLb\nvHZUgsSduSd4o15J3TRE9KRplEK5ADijGlStfTQiMnrxx1kLicRjNPlbyEhKQd3qFLr+5C5agh5a\ngh66p3ek0t3A8Pa9afA7GZNfREaSnRp3Iwcaj7O/4Rg9v8RT3BXysfb4djKSUhjWvm1mEs4mcPyf\nLMtLBEG4CBgHPAG8AHxldVYQhI/58nTW/Wd1lmcAQRBmA7OBBIv720CWZV555RUqKiq45ZZbMJvN\nVFdX061bt8RN549//CMrVqyguLgYm83GwoUL6dWrF7FYjE2bNqHX69m4cSMHDx7k4MGDqFQqVq1S\n7CM7d+7MNddcg9frJSUlhYcffhhZljl06BAffKBIuC9cuBCfT2mjdLlc9OrVi02bNtGzZ09uueUW\nFi9ezJAhQxg7diwDBw4kNzf3v2bF8XicZcuWIUkSU6dORaX6arXPtoBT3UwA8+fPp6mpifbt21NU\nVMQnn3zCZZddxpEjR1i5ciWjRo1iwYIFSJLEqlWrWLFiBZMmTSIYDLJ+/XquuuoqRFHEbrczduxY\nYrEYCxYsAJS6k8Fg4NJLL/0vBYDv8r1pC0jXRrg6o46nTnYkjkhN2EBXk49UTZjORj/5hgCb3QpR\n0KCKUxU2kqIJs99nTVjE3pJdwTZ3Mts9NhrCelqiihBic1RDdquPuLo1KHQx+YjJAh0MAUxijH5J\nLtSixLKmLNRIjLM3kqsPJTSzfmxYuGMFtd4muqS2Z2ynQexvOE6uNZM6bzM5lnTe2r+aYCxCusnG\n7YOnUu44iQB8WrmHw45KtlYfIMuSht1godxRycryDeRY0pFR6iQAeckZZFva3pz6bALHqWnDZcCL\nsiwvFwThT1/3BlmWv5KNJghCgyAI7VpXG+2Axq/a90wgy/JLwEsARUVF/9U2fKbYv38///rXv06d\nI2VlZTQ1NTFlypTE7P+KK67gN7/5DcePH6dDhw489thj+P1+9Ho9vXr1IiMjg/3797Nx40ZsNht9\n+vRh1apViKKI3+/H41FyvqFQKJG2UqvV5ObmUlVVRVFRETNnzmTz5s1cfvnl5ObmsnXrVrZt20ZL\nSwsPPvhgIrBcfPHFlJeXU1tbi81m48UXXwQUktvzzz8PKCuSK6644tsOyXmHwWBI3MQHDRrEoEGD\nWL58OU899RQpKSmMHz+ekydPsmrVKvr16/c5vSybzcaVV17JNddcw2OPPcYtt9zyuc6zDh060K9f\nv8/VSQD27NlDPB6nf/8Lb8v5XSAioxUlgpKIXoyz1qnkytc6U7kouZl0bZjOJh9ZujAd9H6qQwaa\nY1rqI3pSNWGs6hgVIWVsqsIGpqTVUuY309fsIUMbYqPbTmeDj9Utaez1WUhSxYhKIp940gDoYlQk\nMmKIJGtiZOrOjYx3W0Nckqj3KS6htR4Hr+/5EHfIR5LWwB9G3IBGpWHehtcB5T7yyYmdrD2xA1EQ\n6JyifLc1KjVHmqswaQyU1hzEFfLhCvno164zAFqVGlMbI/6dwtkEjhpBEOYDY4G/CIKgA76tJCvA\nu8ANwGOtf9sEEz0zMzPR2ZOVlZWoIZSXl7NixQpisRhlZWWkpaVRWlpKz549GTZsGC+99BLdunVj\n+vTp/OIXvyA7O5t58+bxyiuvsH79ep566im2bt2KKIr07t2bQ4cOYTAYmDNnDtu2bcNkMjF37lxK\nSkrYuHEjGRkZWCwWZs+ezdixYzlx4gSHDh1i5cqVzJo1i5deeom8vDwmTZrEM888g0ajYcqUKYnU\nziWXnPZE/qEI930dThErm5ubee+99zh27BgzZszgk08+SbDps7Ky0Gq13HDDDUyfPp2dO3cCSpPC\nnDlzkGWZp556CqfTyYMPPsjFFyuEqk2bNnH//coi+IEHHkgQPX+I0IgyN2ZVUx3SU2jy83ZDO06G\njLTXB/jwMzIhM7Or+E9TO5qjOpLVUUYkO9jisrHSkc7Fyc1sdNvpYvRTGTYqbbsC6MUkdnutHPSZ\nsbbyNnxx1ecIg/3MbgQUXkcng//CDMJ5gEoUuaLbSPbWH2Vwbg8+PLKl9XkVS/evxhXycVnn4Rxy\nVKASRFqCymRRkmWKsrvTM6MTzQEXK8s3AjAgqwsVTsg0pzCx83B6ZRRgN1hI1p9fF88zxdkEjmnA\npcA8WZZdrauE336HYz8GLBEEYRZQCVwNIAhCEXCrLMs3tz7+FOgKJAmCUA3MkmV51Xc47tciLS0t\nIS7YpUuXBCN8+vTpPPzwwzQ2NpKRkUFZWRmgBJRIRMnvlpWV8f777xMMBjl69CgrVqxg/37FuyE1\nNTXRUnrNNdewb98+mpqaOHToECUlJUSjUcrLy9m3bx+xWIwXXngBnU5HNBrlgw8+SMyaTSYT27Zt\nQ5ZlKioqEp8fjUbRaE5r+I8ZM4aRI0ciSRIXXXTR9zVc5wx/+9vfWLNmDddffz0Wi4XFixczduxY\nxowZw+LFiykoKKClpYW8vDxKSkqorq7m6NGjFBcXc/LkSTQaDZIkUVFRAcChQ4coKCjg5MmTjB49\nGpvNhsPhwOFQZombNm3io48+ory8/HPjc+r1C4naoIoXDlu/ecevQRwV6wQbKtmHlQA1LglRbUIS\nVLSEZF44bMWlVoMA7qiKDc5kJEHFAb+FYx6RoKilKSCjUmtBgEO+JFRyFESl+C74vWhUoJEiVDrD\nGEQvgizxYbUWgSANwJHm73YNtUEVtu/0Cd8v+rbrTN/W1UFGUgrlTSdRiQLvHtoAKOmmsqYTyEC+\nLYth7Xtj05sRBDjWUo1efdp0LS+5HRM6D0cjKsZMBSlti/D3RZwNjyMALPvM4zqg7tseuFWefcyX\nPL8duPkzj887zz4lJSUhOTFt2jSmTZsGwPPPP09ZWRkDBgygtLSUFStWcMkll6DT6Zg/fz6dO3cm\nKyuLAwcOkJOTw5gxY9i4cSNarZbOnTsnPl+SpESKqq6uDrVaTTQaRafTUVRUxJYtWygqKiI/P59F\nixYxaNAgfvGLX1BcXEx5eTnBYJCcnBy6devG7NmzUalU2O12brrpJkaNGoUgCOTn55/vYfvWCAaD\niZXS22+/jSRJOBwOXn75Zfbs2cP27dsRBIFXX32VeDyOSqVK1J3+8Ic/MHDgQObNm0dTUxN9+/ZN\ntPv6fD7uuOMONm/ezJo1a0hLS2PQoEE4HA769+/P3LlzAaisrOTGG28kFotd8JTeuSjKRyIRampq\nkGUZu91OIBAgHA5jt9sJh8MEgypU6blk6XQJ75FgMEhLSwtGo5FwWIUQjyNo9CTbbHg8HsxmM0lJ\nSTidTgwGAxZLPo2NjUqK1tYBVSSCz+dDNhho167dORgJsHH+/E2+DoFoiGUH1iEhc2X3YpxBD75I\nkK6peYmJWrI+icG5PfCFA6zX78YbDtAlLY+jLdVE4lH0ah0GtZb21gwW7HiXqBTDrDVyWedhiIJI\nn8xCQrEI3rCfFKOVdSd2UuGsY3T+ANonfzejte8DwhdbQ38MKCoqkrdv335ej+lyufj5z3+e4AXo\n9fl8bmUAACAASURBVHrWrVvH1VdfzYQJE6irq8Pr9RKJRBgxYgRTp04lEonw8ssv4/F4OHDgAKNH\nj8ZoNLJ+/XoWL15Mz549yc7O5tlnn8VgMDB58mQWL14MKD4YEyZMOK/X+H3i4Ycf5pNPPuH6669P\npKMGDBhAeno6H3zwAUajkfz8fPbv38+wYcPo06cP8+fPp3v37hQWFvLOO+8Ap2VDJk2ahNfrRa1W\n06FDB44ePYooiixbtozy8nJ27NjBtm3bqKys5Le//e3nivM/dGzevJn77rsPgJEjR/LJJwpP9xRD\nH5QVcHFxcWLMT2mCDRkyhPXr1/Piiy9iMpl47bXXWLlyJT179qRfv3488cQTfPzxx1x99dWJWmBW\nVhaBQACXy4UgCJSUlLSZZoxZs2bhPtl4RkZOX4WNlXtZ1ZqKGpTdndKaMmRkxuYPpN7XTL2vhcu7\nXkS2JR1fJECyPomYJKFVqWnyu6j3NbPm2Haag26MGh0GjZ7mgJv21gyG5/XBFfTSLa0DL23/D75I\nkBF5fVl/UpH1z7Vm8IuiyedkLJ5etwhrXjovv/zyV+4jCMIOWZa/ke3a9iiJP1CEQiHCYaUQ2NLS\nwqnA9d5777F582YOHjxI//79mTx5MrfddhsAVquVhQsXMmTIEHr37s0jjzxCfn4+ZWVlHD58mMOH\nDyfSKKdMn06hrbPEzxZ//OMfkWU5MYObPn064XCYzMxMhgwZQn5+fkI/au/evQSDQSRJYv/+/Uya\nNIl3330XURTZuHEjK1eupLCwkJ07d9KrVy9uueUW3nzzTbp37040GuW+++4jHo9TVFTESy+9hEaj\nuZCXfs4xePBgrrvuOhobG5k5cybBYJADBw4wefJkjEYjW7ZsYejQoQlTsUWLFvHWW29RWVnJm2++\nyS233IJGo0GtVvOXv/yFbdu2odFo+Oc//5lIt77//vuMHTuW9evXc/nll2OxWHj77bcZP358mwka\n5wrtrZloRKWWk6xParV5hQZ/C/tbu58+rdhDS9BNS9DDqI4DcId97K0/ykV5fRidX8QnJ5R6myiI\nzOo/iSpPA1qVmtd2KaKd1Z5GfK0aVw3+Fmx6M86Ql1xr2+QQ/RQ4zhEyMzN54IEH2L9/P1dffTUv\nvPAC69evZ/z48YlVwtGjR5k/f37Ck0Kj0bBq1SpKSkoYNGgQW7duZevWrVx++eXs3r2bnJwcZs2a\nhSiKtGvXjtmzZzNgwAC0Wi19+vS5kJf7veCzroqPPvooe/fuZdSoUUybNo2lS5dy1VVXsW/fPjp0\n6EBubi7Hjx+noKCA+fPnI0kSFouFDRuU/PKll17K3LlzOX78OElJSQmZklOpw1OGTT+2oAGKAvCs\nWae5uadMvlpaWnjnnXfo0qUL06dPp7Gxka1btzJ69OiETE4oFGLBggVEIpFE7e7UZxoMBsaNG8e6\ndesYPXo0Pp+PWbNmJVK5EydOPI9Xef5gN5j59bBrEQUBk9aAWqXGE/YzOKcHdV4HzQEP7ZMzONqi\n+Noda6mh0q0YjW2vKUMtqjFo9AzJ6YE/GuLVXe8xvnAIWtVpT3OLzsSQnJ7U+5oZkz+QZIMZV9BL\npjnlglzzN+GnwHEOUVxcnDBV+tOf/oQkSYiiSMeOHVm1ahXFxcWUlpZSW1uLTqdDFEWi0Sh2u53u\n3buzZcsWrFYrN954I9dddx1WqxWdTsdDD51Wtj8lSf5jRjweTxT9d+/ezcGDB2loaMBgMDBw4EBW\nrlyJXq/njTfeoLS0NFGriEajWK1WvF4vAwcO5IknnqC5uZkPPvggwRLfs2cPL7zwAkePHmXUqFEX\n7BovBFavXp0Y1/fee4/s7GxmzJjBDTfcQHZ2Njt37uSaa67hww8/ZNmyZeh0Ou677z6WLl1KUVER\n69at4+OPP6ZLly60tLQkgk337t3p2fPCWJh+3/j42DbWV+wm15rByA79ePfQp6Qn2ZnU9WJWHdlC\ne2smN/W/HLPOSDgWodLdwNhOA9lbf4Q99UfpmdGJj48p6svReIxabxMA607spEd6RwrtObRPzmRY\n+95oVGrqvA7eOrAGqz6JSwoG8+yWpQBM7zMeu8Fywcbhi/gpcHyPEEWlW7m4uJjs7Gx+9atfEYlE\nuPPOO5k/fz6hUIgbbriBn/3sZ6SmpjJ8+HBSUlISjPD/VahUKu644w4+/vhjrrrqKpYuXUpDQwM2\nm41QSCGhRaNRamtr6dOnD7179+bgwYOYzWZefPFF/v3vf1NRUfG51N7NN9/MkiVLGDduHF26dGkT\nRdfzjVOe6pIk0dDQkJDAicfjCcOyIUOGMGnSJD766CNMJhNLlixh0aJFrF27FpvNliCrnmr20Ol0\niUaStooadyNPr1v0rd7riiviGFXuBhbv+YgYEp6wn+c2vkmkldpWXl+BTlAnVszv7F5DQA4jAuXV\nx5ElGUEUaPY6USESR6LR00yVW1GgqHTWU1qxH0mWichxIsRo9Ds52VJHRFbanl/avAyDqP3vEzzL\ncbBybsiEPwWO84TDhw8naiAHDhxIbJ84cYLUVIWk9UPqhPq+MWXKFKZMmQJAUVER27dvp0+fPkiS\nxPLly3G5XPzyl78kIyODWbNmsXfvXurr61m2bBlLliwB4Nprr8VsNjNixAiys7N/VM0E3wYFBQW8\n8cYb7Nixg8rKSkCZ3Hw2wLa0tPDnP/8Zn8+H3+9PeK/X1tYybdo0Ghsb6dGjB7/61a8YMWIEmZmZ\n56yL6vvA2UwQotEosVgMg8GALMvEYjFUYSNOpxOj0YhOp6OxsRGtVovFYsHhcCjBwqimxe/HZDKR\nkZFBS0sLYZfCYTGnJhOrcyPKIrbsTNRqNS0tLajVasKtRGBtkgGPVyFOJiUlEfH5lE7JtNSEzI49\nKx21Wp2YjEajUVQqVeLxmcBK+jmbMP0UOM4TRo8eze7duwkEAtx4441s2LCBSCTyOaLeT/hy+Hw+\ncnJyEjPbm2++OdE11NDQwObNmwFFLuaUKyBAp06dKCwsJC0t7fyfdBvFc889x0cffYTFYuHee+9l\n7969dOnShRkzZlBeXk56enpixSuKIjfffDOvvvoqffr0YfLkyRw7dowVK1ZgMpmYM2fONxztwuOz\nqgJfh7q6OmbOnEkoFOLGG2/k008/paqqimuvvZZRo0ZRWlrK6NGjSUtLQ5Zl1Go1lZWV6HQ6Zs+e\nDSiulH/5y18oLS3l8ccfRxRF/vSnPzFnzhxCoRAtLS0MHjyY6upqAO6//37q6+sxmUw888wzAEye\nPJnp06cnvHuOHDlCx44dWbhwIW+99RbDhw+nsLCQV199lczMTBYsWHBBCL4/BY7zBIPBkGAnA2Rn\nKwJxw4f/cBUyzweOHTvGbbfdRjQaZc6cOWRnZ9PU1MT06dPxeDwUFhYybdo0Nm/ejEql4sYbb0yY\nY3366af8+c9/pkuXLjz//PNnNTv7seKUQKfX62XNmjWUlpayatUqJk+enGjOePTRR6msrESv19Ov\nXz9SUlJ4/fXXeffddxPy8x999NEPInCcKZqamhJp0GPHjiX8W07xtXw+H+vWraNXr14sW7aMcePG\n8Yc//AGXy8WMGTNYunQpffr04ec//zkqlYo777yT9957LyH7A4qs0CkpHZPJxIkTJ1i0aBFqtZrr\nr78elUrF1KlTqa6uJjc3l4ceeogtW7bQtWtXmpqU2sjGjRsTckP19fU0NjbSsWPH8zlUyrWc9yP+\nhJ9wFqiurk44Ju7YsYMnnngCWZa56aabeO655xL7ZWUptqfPPvssq1atokOHDomuoFOkyR+D9Mp3\nxW9+8xsWL15Mv379Ei3jarX6cx1tmzdvxuFwJMbr2WefZfv27ZSUlHDVVVexZs0aLr/88gty/t8X\nevfuzcyZM6mqqmLWrFnk5uZSWlrKjTfeyKOPPgooK7BTdaFTjQElJSVcdNFFLF68mNdee41oNEo0\nGqW0tDQRfJKTkzEajXTv3p3S0lLuvvtuhgwZkqgrxWIxevfuTVFREQ899BDr1q2jsLAwoWJw9OhR\nbrvttoSawvDhw5k/fz49e/a8IEEDfiIAfi+IRCLMmzePhoYG7rnnni9VXT3VLvlZMs6SJUvYsWMH\nM2bMoEePHuftfNsy4vE48+fPx+l0MmzYMB5++GFAabd1Op0UFhZy9dVXc9111yGKIlarNZG/v//+\n+/nPf/7DiBEjEi2jP+E0QqEQq1evprCwEKPRyJo1a8jNzWXBggWJlvHly5fz8ssv8+6772KxWPjn\nP//5P9e8cfToUUpLSxkzZgyrV69m6dKlTJgwgeXLl+P3+xFFkXvuuYc9e/ZQX1+PTqejX79+vP76\n6wiCgMFgQK1WU1+vtOgOGTKEu+66i6VLl1JXV0dGRgYHDx4kPz+fXbt20dDQgCAIPPjgg6xcuZJx\n48Z9TsX5+8RPBMALiG3btiVmJkuWLPnSJb3T6SQSiVBXV0e7du1obGzkhRdeAMDj8SS2/9ehUqm4\n/fbbE4+DwSBNTU2UlZUlUiuNjY14W4uLP/vZzygrK+Oiiy5i7NixjB37lQLN/1P48MMP2bFjB9de\ney15eXm4XC5SUlK47LLL2Lp1K7fddhtqtZpnnnmGyZMnJ5jjLS0tVFZWMmTIEO68887/ChqRSITa\n2lpyc3N/dMS/UygoKEiYpF177bVce+21gKJrt2zZMoYOHcrjjz8OKD48x44do7S0lKFDhxIKhdi1\naxdqtZp27dpRV1fHoEGDmDt3Lvv27UOj0dC/f/8E4Xf27NmUlpYyatQoRo4cyciRIy/YdX8dfkr6\nfg8oKCjAYrEgCAKSJDF9+nReffVVAGpqati5cydOpxO/38+CBQuQZZmWlpaEp8Znda1+wucxceJE\nbrjhBrp37w4oaYDCwsLE68OHD2fUqFGoVKqEM+D/OhwOB3/961/5+OOPefLJJ7n33nuZOnUq8+bN\nA5QuP0mSiEQirF+/PsEnSk9P5/XXX2f37t1s2bIlsQoJhUKUlZURjUb59a9/nTAe+1/DFVdcwT//\n+U+mTZuGwaC4L9pstkQ9ora2lqoqhRQYi8V44okn6NmzJ6tXr04EWa1Wm+BmZWRkMHHiRJ588sk2\nnwr8acXxPSAzM5N///vfBINBbrnlFpxOJ6+99hotLS2sWLGCjh07IggCsizTsWNHnnvuOZYtW0ZW\nVhbPPPPMT2mqM8CMGTMYNmwYaWlpWK1W3nnnHURR5OTJkzzxxBOAwkRv6z/A8wGTyURycjJOp5PM\nzMxEfn7Lli1s3bqVnJwchg0bhl6vp6ysLCFhbzKZyM/PZ/Xq1Qkyajwe56677uLw4cMMGTKEQ4cO\nAbBv374Ldn0XGikpKcyfP5+TJ08ydOhQ+vfvz8aNG5k6dSqBQIAHHngAjUbDhg0bEgTMa6+9ljFj\nxtCzZ086dOjAqFGjMJlM6HS6bzha28BPgeN7QlJSEklJSYwYMYLly5czZMiQ/9/enYdHVV+PH3+f\nCQnZQAiEsASIAhH8iqBErNqAUigqIovK1viDUFQEtVpt4SuljV9tjQqVxQJFHhCLG7IUrUpt2KwG\nEAiygwJNAgmQCGHJPsl8fn/M5DZJQyFhyM0k5/U8eTIz987kzH2SnPnc+/mcw65duwD32o3WrVtz\n/vx5zp07Z/0yZWZmEhERobN/LlNkZCTz5s3D6XQSEOBeHFVSUmJtr6+nTqorKCiIhQsXcvToUW65\n5RaioqJISkqiZ8+eTJ06FXBfD+rfvz9Lly5l586d+Pn5kZ2dzVtvvcXgwYPJysriqaee4rbbbrMu\n+h4+fJinnnqK9evXN/hrSO3bt6dp06bMnz/fKj8EcO7cOQoLCykoKCAlJYWQkBBKSkqs+nRlfK32\nnCaOq+yZZ56he/fuOBwOAgICWLp0KTfddBPr1q0jPz+fFStWMHr0aIKDg4mJiaFVq7rXJrKuWrt2\nLZ988gmAVWpk9uzZjBgxgk6dOtXaBUVf0LJlS2uhaVxcHHFxcVbBQnAXjpw1axZRUVEsWLCAl19+\n2VpvsG/fPus01bfffsuvfvUr1q1bx7Bhw7j99tuthZoN3ZIlS1izxt2P7tprr6VXr14VunyWlJTw\n0Ucf4XK5CAgIYP78+eTl5TFx4kRCQ+tmw6aL0cRxlW3evJmXX34ZcC9cO3XqFCtXrrR+URwOB3fc\ncYe1iEhdvqioqAorn10ul3WuXhdWXlzZVNt7772XCxcu4HK5OHjwIHl5eezbt4/vvvuOc+fOERwc\nTOvWrYmPj+fcuXN88skn3H///QwcOJDbbruNGTNm8Pe//53nn3/e5/7xXQ1lidnPz49NmzaxaNEi\n4uPjadWqFYWFhUyePNlqBte3b1+rwkFYWBjjx48nPT2dgwcPEhsba10zqatsSxwiEgZ8CEQBqcAI\nY0xOpX16AvOBprh7nv/eGPNh7UZ6ZfLz863bJ0+etPqNG2No164df/jDHwgNDWXHjh307NlTT69U\nYeXKlXz11VeMHj2a3r17W4/37NmTt99+m8zMTBITE2ncuDFRUVG2N2Oqyz799FNmzpxJWFgYCxcu\ntGYIbd68mZ07d9KxY0dWrVplzVJ74403cDgchIaGMmjQIOt1/va3v/H11+62p927d+fBBx+s/TdT\nB+zZs4d58+bRrVs3nnzySTp16kSjRo2sFesLFy7E6XRSXFxMcnIyW7a4+3qUnZJ2uVy0b9+e3Nxc\nJk2aRF5eHsnJySQkJNj4ri7NzhHHVGCdMSZRRKZ67k+ptE8+8P+MMd+LSFtgh4j83RhztraDral+\n/fpx/vx5CgsLGT58OIGBgaSlpbFnzx5OnTrFyZMnefXVVzlz5gz33nvvZZdIaChyc3OthX6nT5/m\n6aef5siRI9x///2EhITQvn17pk+fztmzZ3E4HPzpT3+ykq8xhvz8fEJCQpg5cyZff/018fHxDfqC\n+Y4dOzDGcPr0aTZu3EhGRgY/+clPrFLrPXr04J133iE1NRU/Pz8mTpzIqVOnrGZXb775Jp999hmx\nsbHWwsFu3brZ/bZss3TpUg4ePMjBgwfp06cPIsL111/Pddddx9GjR4mOjubzzz8H4KuvvqJly5ac\nPXuW3r17M2HCBN59911eeeUV7r77bquC87lz5+x8S5fFzsQxBLjLc3spsJFKicMY812525kikgWE\nAz6TOESkwjngyZMnk5KSwrZt2wD3p+kzZ84AWFP31L8FBQVZf4RRUVFMmTIFl8vFv/71L2t9TPlR\n2vTp00lNTeW5557jnXfeYffu3YwcOdI6n798+fIGnTjGjBnDqVOn6NChA2+//TYXLlxgw4YNREVF\nsXPnTgIDA5k9ezb79u3D39+fEyfc3aGTk5MZOHAgq1evxuVykZyczHvvvYfD4ajz1XGvpl69erFj\nxw7atm3LzJkzOX78OD179mTMmDF89NFH1gikpKSEHj16MH78eKZNm8bs2bPp3bs3+/btwxjDxo0b\nefHFF9m1axfDhw+3+21dkm0rx0XkrDGmWbn7OcaYi/amF5HeuBPM/xhj/usEfbtXjl/KhQsXePDB\nB3E6nUyfPp38/Hy2bdvGLbfcwk9/+tM6f36zthUWFpKRkYG/vz/x8fG4XC7uvPNOdu/ejcvl4je/\n+Y1VVK6sTMOtt95qJecOHTrQtm1btmzZwvjx43nkkUfsfDt1xtixY0lPT+faa6+lefPmpKSkEBgY\nSFRUlDXNtm/fvqSlpdGhQweysrJo0aIFW7du5eGHH9brch6nTp2iSZMmDB06FKfTSatWrXA6neTk\n5OBwOGjfvj1Op5N+/foRERHBvHnzKCgoICAggLi4OFasWMF9993H448/bvdbqRsrx0UkCaiq0/q0\nKh77b6/TBvgLMPZiSUNEHgMeA6os8VEXlDUlGjRoEJGRkRhj6NevHwCrV6/myy+/ZMOGDcyaNcvm\nSOuWwMBAOnXqBMDrr7/O0aNHKSgosM6x79ixg9zcXOuPNCMjgwEDBhAZGcmWLVt45JFH6N+/PyUl\nJTRqpPNByrzxxhts376dmJgYUlJSaN26NYMHD2bu3LmAe7Q8depUjh07ZiWJmJgYqyqCcitbuJuQ\nkMCGDRu47bbbSEpKYuvWrXTp0oWCggJyc3NZtmwZ4F7DsWvXLu677z66d+9OdHS0zzVos3PEcQi4\nyxhzwpMYNhpj/qNYvIg0xX0a6xVjzEeX89p1ccSRnZ3NmDFjKCkpITY2loyMDIqKimjTpg2dO3dm\n9erVFBUVERYWxsqVK+0Ot87Lyspi+vTpuFwuunTpYp1HnjJlCv369bPWdahLW7dunTXzLyEhgdDQ\nUF566SX8/f0JCAggPDzcuh73+OOPM2rUKJsjrrs2bdrEiy++iL+/P+PHj2fJkiUUFRURGhpqfbhZ\nsGABXbp0ITMzk/j4eIqLi4mLi6vQ7tcudWLEcQkfA2OBRM/3NZV3EJEAYDXwzuUmjbpKRKwKpGWl\nSHJycsjIyGD79u1MnDiRQ4cOV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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ " OLS Regression Results \n", "==============================================================================\n", "Dep. Variable: sub7 R-squared: 0.079\n", "Model: OLS Adj. R-squared: 0.074\n", "Method: Least Squares F-statistic: 15.98\n", "Date: Sun, 10 Dec 2017 Prob (F-statistic): 3.04e-20\n", "Time: 20:10:44 Log-Likelihood: 936.75\n", "No. Observations: 1305 AIC: -1858.\n", "Df Residuals: 1297 BIC: -1816.\n", "Df Model: 7 \n", "Covariance Type: nonrobust \n", "==============================================================================\n", " coef std err t P>|t| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "Intercept 0.1836 0.069 2.662 0.008 0.048 0.319\n", "mean_gm -0.3836 0.087 -4.385 0.000 -0.555 -0.212\n", "tiv 3.257e-08 2.71e-08 1.200 0.230 -2.07e-08 8.58e-08\n", "age_scan -0.0007 0.001 -1.369 0.171 -0.002 0.000\n", "gender -0.0040 0.007 -0.588 0.556 -0.017 0.009\n", "AD -0.0841 0.010 -8.339 0.000 -0.104 -0.064\n", "sMCI -0.0056 0.008 -0.656 0.512 -0.022 0.011\n", "pMCI -0.0733 0.010 -7.427 0.000 -0.093 -0.054\n", "==============================================================================\n", "Omnibus: 2.718 Durbin-Watson: 2.034\n", "Prob(Omnibus): 0.257 Jarque-Bera (JB): 2.448\n", "Skew: -0.027 Prob(JB): 0.294\n", "Kurtosis: 2.795 Cond. No. 6.06e+07\n", "==============================================================================\n", "\n", "Warnings:\n", "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n", "[2] The condition number is large, 6.06e+07. This might indicate that there are\n", "strong multicollinearity or other numerical problems.\n", "############################################################\n", "F test on full and reduced model:\n", "############################################################\n", " df_resid ssr df_diff ss_diff F Pr(>F)\n", "0 1300.0 19.739466 0.0 NaN NaN NaN\n", "1 1297.0 18.182247 3.0 1.557218 37.027179 5.854154e-23\n", "############################################################\n", "Pairwise post hoc t-tests between groups\n", "############################################################\n", "Multiple Comparison of Means - Tukey HSD,FWER=0.05\n", "=============================================\n", "group1 group2 meandiff lower upper reject\n", "---------------------------------------------\n", " AD CN 0.0686 0.0441 0.0931 True \n", " AD pMCI 0.0054 -0.0217 0.0325 False \n", " AD sMCI 0.0647 0.0403 0.0891 True \n", " CN pMCI -0.0632 -0.088 -0.0385 True \n", " CN sMCI -0.0039 -0.0257 0.0179 False \n", " pMCI sMCI 0.0593 0.0347 0.084 True \n", "---------------------------------------------\n", "Test Multiple Comparison ttest_ind \n", "FWER=0.05 method=bonf\n", "alphacSidak=0.01, alphacBonf=0.008\n", "=============================================\n", "group1 group2 stat pval pval_corr reject\n", "---------------------------------------------\n", " AD CN -6.9496 0.0 0.0 True \n", " AD pMCI -0.4753 0.6348 1.0 False \n", " AD sMCI -6.7659 0.0 0.0 True \n", " CN pMCI 6.6326 0.0 0.0 True \n", " CN sMCI 0.4895 0.6246 1.0 False \n", " pMCI sMCI -6.44 0.0 0.0 True \n", "---------------------------------------------\n", "############################################################\n", "GLM results for effect of APOE4\n", "############################################################\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/Users/AngelaTam/anaconda3/lib/python3.5/site-packages/scipy/stats/_distn_infrastructure.py:879: RuntimeWarning: invalid value encountered in greater\n", " return (self.a < x) & (x < self.b)\n", "/Users/AngelaTam/anaconda3/lib/python3.5/site-packages/scipy/stats/_distn_infrastructure.py:879: RuntimeWarning: invalid value encountered in less\n", " return (self.a < x) & (x < self.b)\n", "/Users/AngelaTam/anaconda3/lib/python3.5/site-packages/scipy/stats/_distn_infrastructure.py:1818: RuntimeWarning: invalid value encountered in less_equal\n", " cond2 = cond0 & (x <= self.a)\n" ] }, { "data": { "image/png": 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+bNu2jdraWn766ScsFgslJSX079+f/Px86taty4svvkinTp0wm80sXLgQcFVQ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\nr2fw4MGo1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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ " OLS Regression Results \n", "==============================================================================\n", "Dep. Variable: sub7 R-squared: 0.022\n", "Model: OLS Adj. R-squared: 0.018\n", "Method: Least Squares F-statistic: 5.773\n", "Date: Sun, 10 Dec 2017 Prob (F-statistic): 2.80e-05\n", "Time: 20:10:47 Log-Likelihood: 897.12\n", "No. Observations: 1305 AIC: -1782.\n", "Df Residuals: 1299 BIC: -1751.\n", "Df Model: 5 \n", "Covariance Type: nonrobust \n", "==============================================================================\n", " coef std err t P>|t| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "Intercept 0.0859 0.070 1.231 0.218 -0.051 0.223\n", "mean_gm -0.0696 0.083 -0.834 0.405 -0.233 0.094\n", "tiv -6.722e-09 2.76e-08 -0.244 0.808 -6.09e-08 4.74e-08\n", "age_scan -0.0003 0.001 -0.640 0.523 -0.001 0.001\n", "gender 0.0005 0.007 0.069 0.945 -0.013 0.014\n", "APOE4_bin -0.0361 0.007 -5.304 0.000 -0.049 -0.023\n", "==============================================================================\n", "Omnibus: 1.601 Durbin-Watson: 2.027\n", "Prob(Omnibus): 0.449 Jarque-Bera (JB): 1.657\n", "Skew: -0.063 Prob(JB): 0.437\n", "Kurtosis: 2.880 Cond. No. 5.65e+07\n", "==============================================================================\n", "\n", "Warnings:\n", "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n", "[2] The condition number is large, 5.65e+07. This might indicate that there are\n", "strong multicollinearity or other numerical problems.\n", "############################################################\n", "Pairwise post hoc t-tests between groups\n", "############################################################\n", "Multiple Comparison of Means - Tukey HSD,FWER=0.05\n", "=============================================\n", "group1 group2 meandiff lower upper reject\n", "---------------------------------------------\n", " 0.0 1.0 -0.0355 -0.0488 -0.0223 True \n", "---------------------------------------------\n", "Test Multiple Comparison ttest_ind \n", "FWER=0.05 method=bonf\n", "alphacSidak=0.05, alphacBonf=0.050\n", "==========================================\n", "group1 group2 stat pval pval_corr reject\n", "------------------------------------------\n", " 0.0 1.0 5.2594 0.0 0.0 True \n", "------------------------------------------\n", "############################################################\n", "GLM results for effect of subtype weight on amyloid (AV45)\n", "############################################################\n" ] }, { "data": { "image/png": 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eZ2k00S0lRXSxya+ZorPqyWb/8AZOTxbY3J2MWtECbAx2gL9045bI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\n36lmv4e2xOUQqeFQ1dfUek5ERkVkk+ttbALO1Bg3CBwA7lb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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ " OLS Regression Results \n", "==============================================================================\n", "Dep. Variable: AV45 R-squared: 0.297\n", "Model: OLS Adj. R-squared: 0.285\n", "Method: Least Squares F-statistic: 25.96\n", "Date: Sun, 10 Dec 2017 Prob (F-statistic): 1.66e-33\n", "Time: 20:10:48 Log-Likelihood: 118.58\n", "No. Observations: 501 AIC: -219.2\n", "Df Residuals: 492 BIC: -181.2\n", "Df Model: 8 \n", "Covariance Type: nonrobust \n", "==============================================================================\n", " coef std err t P>|t| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "Intercept 0.8597 0.209 4.122 0.000 0.450 1.270\n", "sub7 -0.1574 0.082 -1.914 0.056 -0.319 0.004\n", "mean_gm -0.1843 0.247 -0.747 0.455 -0.669 0.300\n", "tiv 8.294e-08 7.32e-08 1.134 0.257 -6.08e-08 2.27e-07\n", "age_scan 0.0026 0.001 1.875 0.061 -0.000 0.005\n", "gender -0.0455 0.019 -2.458 0.014 -0.082 -0.009\n", "AD 0.2622 0.027 9.640 0.000 0.209 0.316\n", "sMCI 0.0514 0.021 2.495 0.013 0.011 0.092\n", "pMCI 0.2820 0.031 9.180 0.000 0.222 0.342\n", "==============================================================================\n", "Omnibus: 24.574 Durbin-Watson: 1.905\n", "Prob(Omnibus): 0.000 Jarque-Bera (JB): 27.368\n", "Skew: 0.515 Prob(JB): 1.14e-06\n", "Kurtosis: 3.502 Cond. No. 6.95e+07\n", "==============================================================================\n", "\n", "Warnings:\n", "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n", "[2] The condition number is large, 6.95e+07. This might indicate that there are\n", "strong multicollinearity or other numerical problems.\n", "############################################################\n", "F test on full and reduced model:\n", "############################################################\n", " df_resid ssr df_diff ss_diff F Pr(>F)\n", "0 493.0 18.407777 0.0 NaN NaN NaN\n", "1 492.0 18.271683 1.0 0.136094 3.664586 0.05616\n", "############################################################\n", "GLM results for effect of subtype weight on amyloid (CSF)\n", "############################################################\n" ] }, { "data": { "image/png": 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qTrKD+bEStVs0DYNb+jv49NsOttxj0kqSvlFCOWWrmeaVyfeLk3lcCXFTOZmX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\n5sSxXJmyJzm4Kc1ngx6Xu/7wGfBnf+fCAgJPSh4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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ " OLS Regression Results \n", "==============================================================================\n", "Dep. Variable: ABETA R-squared: 0.254\n", "Model: OLS Adj. R-squared: 0.241\n", "Method: Least Squares F-statistic: 19.63\n", "Date: Sun, 10 Dec 2017 Prob (F-statistic): 1.60e-25\n", "Time: 20:10:49 Log-Likelihood: -2482.6\n", "No. Observations: 470 AIC: 4983.\n", "Df Residuals: 461 BIC: 5021.\n", "Df Model: 8 \n", "Covariance Type: nonrobust \n", "==============================================================================\n", " coef std err t P>|t| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "Intercept 222.4884 44.846 4.961 0.000 134.360 310.617\n", "sub7 67.1601 19.664 3.415 0.001 28.518 105.802\n", "mean_gm -25.4384 60.996 -0.417 0.677 -145.304 94.427\n", "tiv 1.634e-05 1.86e-05 0.879 0.380 -2.02e-05 5.29e-05\n", "age_scan -0.5354 0.339 -1.580 0.115 -1.201 0.130\n", "gender -6.5009 4.692 -1.385 0.167 -15.722 2.720\n", "AD -63.6566 6.979 -9.122 0.000 -77.370 -49.943\n", "sMCI -28.9148 5.746 -5.032 0.000 -40.206 -17.624\n", "pMCI -52.2385 6.949 -7.518 0.000 -65.893 -38.584\n", "==============================================================================\n", "Omnibus: 17.122 Durbin-Watson: 2.030\n", "Prob(Omnibus): 0.000 Jarque-Bera (JB): 18.009\n", "Skew: 0.471 Prob(JB): 0.000123\n", "Kurtosis: 3.183 Cond. No. 6.14e+07\n", "==============================================================================\n", "\n", "Warnings:\n", "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n", "[2] The condition number is large, 6.14e+07. This might indicate that there are\n", "strong multicollinearity or other numerical problems.\n", "############################################################\n", "F test on full and reduced model:\n", "############################################################\n", " df_resid ssr df_diff ss_diff F Pr(>F)\n", "0 462.0 1.092506e+06 0.0 NaN NaN NaN\n", "1 461.0 1.065544e+06 1.0 26962.232832 11.665021 0.000693\n", "############################################################\n", "GLM results for effect of subtype weight on tau (CSF)\n", "############################################################\n" ] }, { "data": { "image/png": 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qgcYKQyzL4uxkCdtS/OxrdyZjbNRoqoE2ZVp8TSaKDqv4IVnH4tXX9SUCOG0r\nbmkSZdbsM2Mt6aceOkYY+cNv3tbVkZN/OXSy0LmaG6ptdDa9EGmFxthcfTQES+4OLBQ8jqVaChwj\nmKgrz3C1cyWhtTA/8Rcq5bqIp3hyW0wwNKtG22z12DjGWDhMl3xc20rax1ZDTcqer+ZrMruN32Km\n5CUTu9aalG0xVfKarlDvObSfd3/uCc5NlfCCENe2SDsWu/szvDhZ5JbtPYuGraqUSpIM4/IcAM9P\nFLGiBQtEnQ5DTdU31yS+RmUvJNSmnMnTI8aHsas/w2i+SqkaEIYhFtCXdXjo8QvctrufwweGF2hQ\ntVGYSpnFkh9qlKXajlA6Ppo3uR6BMc/1pB1GZyuEQDqqSnl8rMC7P/cEn/xnr0l+Uytp+pJw3auP\na1aIdEIngideadoWLYVN4+P14kpLfJuIp2k++qUX8MOQjGPRn3XrJrdGwVBbn6qd0hq//PDTdWOM\nhUNVQzq6dLWXsOIbr3zasaj4IZaCc9MltDbfpQaeGc3Tm3HY2+K84vlXRQJqpuTTlfISs1izSaxT\nZ65tWTxw1yuTa5RyLMpeECVHKsp+yKnLJTMeIGWBZVnMlgMyjpUI/MbjqzjxAij7QaI5tOtaPnJi\njJmyT6h1UoNsZLaSmMBsy/holNbMln3ufeQEhUrQ0WS/mKZxpQsdYeURIbLKxCUpvHDpfWMSgVIn\nZOrNbI5tTHCOpa5Y24lv2tHZCuP5Sl2Np+VGsSwV8dQoGBrrUy01KTROjrFwsCPntkZT9UM0xoST\nshVaa/oyDqP5qnEea40fzvc7D7XRZOISG7UT3f1HT7El57KrPwvA8xMFNGGdWazZeBu1rvFChUtz\nHpPFKnc8+Bg7etOcny6j9LxjPtBwy1BX3TW69WNf4cTYnBF6WtflUWjAC8FFY1mqrjFW4/FTtkpK\noxBVHlYKyl5YF0LcSmu495HjhKGpN+YFGtdSyfVza6S2pYy/5vmJubrfQbuT/VKaxnr3MhEWIkLk\nKiTQmqBmsliKRjNbo8nNijQhx7IWmNlqb9qdfcZhfHaqxB6tF2RWt2OLXu5N3s7+jcX5pkvzXQtj\n4dCfdZgu+cSXzYkm5hC4OFPmlu09/NLtW6PsbD2vrdRc5pmyz84+p26iaxxfrVlssfOr1bqOj+aZ\nKfsMdrmJ9lKsBvSkbSp+mJjJBrtc7nvbgbrzfn6iGGnApvR8HEEVozHCJaOMlhIL/Eatb7gnzYuT\npeR9tmWKxw92udz7yHEKlXDR0OzjYwVspXAtI4CroU7GUg01vg5wbQuF8RmFmo5yM5bSNDrR8FYr\nokwwbHohMpov8/FvnSWXssmmBiQ8AAAgAElEQVS5tvkfPe5KmcJ78fOsa20oH0ZMp2Y2x1L81hef\nRylNyrZJ28bWPzpb5sJMmdv3buFf//ANvPVlQ23bopd7k7cTBlt73GJk2on9GDdt6+aXbjfRWd94\ncRIdTW7ZlM1wdxrHVnWZyUdPXebrpy+Tsi1KNeqhapLn0ex8Ys0n7czn6S7VibAxYzr+n7IVW7vS\nnJks0hNVrv3lh59m38CpxMxnqchfoiyCIKTZ0iLU8zkVtUEB8fdy7yMnOD5WSLZrTFvfOFLt+Fih\nTmvwQ81ovsxdnzrGG/Zu4fJchVQkGFzLwrWh6gf4un4MsYDd1p1iqDtVFyCw1O8gZqlFxXLDdY+c\nGOPdn3uC2bKPF5gQ6dhnI4JkZdj0QmS8UOV3vnq6rX3jyafLrRc0uZRNNn68QBAZIdT8NfO+9fRz\ntCLUmmrU0Kgv7RBERvKca7NvIMdsxefjP30rAC9cnuM3v/A8KI1j2XiBcUb7YcB//NJJ3rB3IPH7\n/NoP7uPX/vuztHOTHzkxxtnJIiXPTI5eEDBXKTLUk+J33/4KoD5L++TMXJLgN9yT4vSH3ly3yrSV\nYs+WDP25VHKM6WKVb52ZYt9HHk3Cgb91Zso4ldV8foRtqQV5HrBw0oo1n76Mg9a6rZyDFyeL2MDz\nM4XELwMKP9T84A1pfvG23YlfKO5SePSFy5GQSXFpzmOpn1A10OwbqM95ietilf2Q2renLBNpWKgG\nSWHIWGuYKXucmyqjMP6iOLlyMOcyWQoAHTX0Mp+1oyfFVMmjEkmUjGsnTvVWQRaLaQa9abt+UREt\nBFppWEuF6977yAkuzZlmYrGGdGnO495HTogQWSE2vRDpTtncsKOHohcwVw0oVc1/L1y4ptNAsRpQ\nrAYwt3JjyLpWpOnYCwWOa9MVhZjmagVYzT6xIItfy7r2gnLnnbKrL8tEoUK2xvRQ9kN29mXr9rsw\nY4SN1mZyQZvJ6MxkkfHCfAj1y4d7+OCbb+QT3znPxZkSu/qzvO8N1/OanX2M5St1vp1/8/89y1w1\nMJFCet5Mk3FUnTnJBs7PlE2WduTcPj5W4MNfeK7OKT+er3BuuoxSJiJqpuRxbrqMa89rTw89foGf\nfPV2/uqpUdBGa7Gs6HxsxZnJElNFjzsefKxplFit5tNsEms2QfambU6MzWEp458pB+YCZhzFyYkC\nX33hMoARlqHxicU+nUtzHoNdLvmKT9k318fCmOlqsSNfxLs++wTDPWnG8hUm5owPqFH+eKEmY0HJ\nC6n6mpu3dTFeqDBT9ilUTJi0rRQZ16Ir5WAB43NeEvkWk3EU1/VluS76rcTRZ/G1qA2ycCxz7r/5\nheexlcltaQxMAKKqvdoES/ghL06aKLbG76RdAfD8xBxgFkxaG43TUvF2YSXY9ELkhq1d/OXdC2uI\nVf2QomcERikSMPHz+cc+c9Hz0oLX6h+Xok53zSh5YWQ68VbsvFxbJUKl1iTXqAnValONGlIuZfOO\nVw7zR18/g9Ymf6ASmBvuPa/fXXe8doUNwA/vH+SH9w/WbctX/AX7PX+paCYsy0p+iGEYMjJb5fyU\nyX3Y2ZvhexemjTO4Rm66luJ3v3qKHb2ZxGRyXV+GM5MlXpot05txeGm2jI62x/0wwOel2QofvPNG\nfu9rp5kt+ygUrgVz1bDOb7FYlNhvNPlOak1vtX3PHctMvraj8GvMjRVfM5qvEhKXTTEC2o/EqY62\n5ys+N2/r5pmRWaqBXiBALGX8EJfmqgSh2T921sfEwiTyq1P2jQrWnbZ51Y4ePvfECJaKXtdGUx10\nbWZKHiFEpixAqaglsGawK1U3jkYtLg6y8EPNuamy+Xyt8TWMFzwyrh1VUPaTemP9WZfuKLu+5Bk/\nkGMpdvZlmvpqlvJ1BFEQReIC02bBotTmLjy7lmx6IdKKlGORikJQV4og1IlAKlR9Sl5IseovKnzm\nmgixYvR4LvqMZniBZjrwmS77wMJkyk6xlaI343Dfl0/xh18/k2hCWmvG8lUcK3acmkifH9q/lS88\nN7FQc4oeZ5zl+ZniW7sUzbZ337aLb5+dSia4UJuJYKgnxcWZCjtrnNxZ12ZnX5rR2Uo0oWp296fp\nSTuEkdaRdSyOj+Y5MZanGtnwXduYloa63SR7fTnRRPcfPcWzo7Mm6zvKO6kGpnWurYja6JoOivH5\nxRO6H830TRRjwLy36sMzI7NUWgRbmPwYKHkmGi3+zFiQqEZvfPTUVfDcuGkA5UTCXGHMfBZQ8AIK\nXoClFFnX+NAqfohrK4Z7MigUc9V5s+VU0SNlW4np8NnRWXb1ZTl5aQ5LGT9cHBJsqfkcntjnoSFp\nfduXcXl+opBE2tUuAmKB046Pzo3CkRdcs6vQxLxRuWaFyGpgWyZDujvtMEx6RT4z1LpOC4oFTjNB\n1Cigip7PXCV6j1e/X6tJK4hMEnFSXIu9kkefevwCn3r8Qss94wlDY5zhQ90phnvS5FI2aceiUAkI\n9LzN3pTxcDny/fHE57Sr36xC/Shkd2tPCtey6EqZZLysa96ttRGCr9nZx5+987X8wmf+gYlChaof\nkq/6XC5UKfth4gdxbWNWC0KjfU0UKgx2me9NKcg4Fi9ebm32aCwnH0/epUio2Vrj2AoV6MQUVKsN\ntEuIMW05CrQiKUgZYysTvhsTO/21HxJGZpyUbSoh12LWJ2abr8H3Q1zLfAd2JDCC0GS6O9FbbWu+\nrP0H77wxMev1pG2UgmoQ1tXmGreNRhFqneTbGFNdSNk3IdN9GYebtnUD1AUgVCJfTm0QQyxw2s0X\n6Uk7lL0qxP1JFChttgsrw4a8kkqpHwX+ALCBP9Fa37fSx/jqqUt84jvnuTBTYldflve8fvcCE81a\nYEUrsK6Uw7YV+kytNV98foL/+OgLiWZR9gKqgeanbt3BvoEu5iJzXp2Q8gLmKkHiX2r0MwVNetNo\n5p2wZT/k3HSZc9PlhvHUv2c0X42c8wvxfU1xuoICMq7F2ely4mcJQpNHcWGmzA898E129me4NOcR\n6grFapiUOo8n8SDUdUEPlcD4FWJKXsBwT4aTEwUspaK/eZ/ORx49iW3BdMGDJuG3vtZY2vgW/Kjs\nSCuaKAsLrqOlVFNfXsU32kLKVgSapFPjuakytmWcTbrJ+Jrhh+b8tNaEqGTMfqgTIWkro8XU9qS/\n48HHqAa6blIf7HIZL1ST99Wu/ePTKFTMb+qXbr+e23b31wUxxEmNw93zC7LYZBZHcc2UvbqeMyMz\n5brqB8M9KVzblL2Jo+pqhZZw5Wy4plRKKRt4HvgR4ALwOPCzWuvjzfa/9bU/oP/yC19d1jG+euoS\nH/7CSVK2IuNYxqQQaH7jLTetiyBZDeJVeq2Po+QFbOtO82fvfO2yP09rTTUIefT5Cf7zV07jKJiY\nqxC7ifqzLinbouIHZF2bt758iLlqwJnJIs9NFChVAxzbojfjYKEizclvaopYTRrTR2wFvRmXlw11\nsW8gRy5lM1Go8MTFWc5Pl3Ft8AOwLaMxNGoJ8We6FlQXSTjtco2m0E5SamKmisbpWIqtOZfhnlRS\ndLI2wbEvY3PL9l6+cfpy8n20uqqxhgYmDLjVcHZ0p+jLuUn4dNxIrNZ0qbXm6dE8FlAJdFMhFmuq\nr9jezZMfeFNdFd+emsrDjU2x7n3kOM+Nz1GJcn6cKGIs0LCrzzjti17AdMlDa5p+xmLBEBK51X5T\nqo2oifwj4AWt9WkApdRngXcATYWIZZG0P40FZvxD1pookHF+Naw1/OnfnyftKLKuuTy5lAWezyf/\n/jx33rStbv/6z6v//KuZONqqloxjcXGm1OIdi6OUIu3YfO6JEXKuRda1GStUcG1TXLDsBWzvSaO1\nw2zF59fvuLGtz/WCcMmghmI14M++e4FCxcdSioofUInNViqeqEyDo1ZmvJjGlwMNUyWPb5+d5ttn\npxfsX40se+Eik7+mXoAo5tu/xscrerrt3018Do4FO3szhMCTHziEAh59foI//MaLnJ0qcsPWLv74\nrhs4fGDYaLT3PoKtmmtErjXvS0nZipIfthQgAGNzVS6XPM5MljhyYqxlfpCtFLcMdzNb9hkrVMhX\n5k2hcVhxEIY8P2HyQBqDGFp1lhwvVBMfUahN2Rswwry+moAxo27tSrWMppNaXFfGRhQiO4HzNc8v\nAK9vtbOtVKLet8tIvrJgVZWyXcbyFW7Y2rWsz6rV9Gptwo2vLyrYGvfVzfevP26L8UT/9w3kGMtX\njICMNs55IdcP5NiSFAycf08S2ltzTK3rH4MRTv0Zc+1SNf02qtESvVVEVytc28K1LXoziwdA/Nl3\nz7OzN02hGlCoeFEypU7MM10pO4rEai3kt2Yd/FAzU2mesRkn/i2nhE0z4gioxm3LJdRwcbZCyrF4\n6//97SQCb6g7zd6BHJfmKrz/4WeYrTzB1lyKrpTFdClofg20ToSSbStOX158MRFq46dRaO7+83/g\nl26/nj/5zlnOThZN5FdE1rUYy5cZ7jH9YL53cRaor2+2GM0i4+548DH6s25kqtR119LCmMjiYpVD\nXSkqfsiTHzjU9POlFteVsxGFSLOfX909oZR6L/BegD179iz7ACvZCa1WEDUPUlqfKJF/e+dNvP/h\nZ5Is7aIXEIbwoTtvYlt350EBN2/rNtfOtdnRm+HcVBmNJu3Ykc9E8e/fcjM3b+teIBSPnBjjY1+d\nX3X+qx+6gbe+fKip8P0f3x/n9752mjNTRa7fkqM/41INQiaL1aTrX6jBsXSUv7AwxDimK2WRti0m\nS37LyVxFA/CuQM3sci2KXkhfxqFQ9WkREd42xnyj8aoBf39+oZZUy0y59flDdF4azjT4q9rh8pzH\nx791Bi8Ez59fbMRO8dG88YtszaVwLSOEjUnOaIt+oEm7il0f/gK7+7P8b7dfz5tuNGbj+J5R0X2i\nFJy8NEd/xiEdhUzP59/MmwOrgcYPAk5VSjgKfuiBb/CrP3gDb3nZEF98fpw/+PqLnJkqMjZb4bre\ndJ1ZNw6oqEZfUKzNmseq5vHGqtK9WmxEn8gbgP+gtX5r9PyDAFrrjzbb/+DBg/rYsWPLOkatitvK\njroZWI0uco3XrtEu3+oYy7nmzfadKnooZSY0xzKNdb0gTMqeNwuPjW///YM5zk6Wmjqtl6J2Vb+U\n4zrrKPZvzbGlK803Tk8uum/jZ9082EW+6jGRryblRixlal/94A1bGe5Oc/LSHI+dmSIIwzptYL2J\nQ4zj1gleVL4ldvaHGEHenTKVE0IN73zdddy2Z0tdkm2c3/Sezz3JRKGCrzUjMxVTeSDUtDrllK3Y\n1ZehGmj+6au289dPjyb+ztOTRfxAc11fJonYuhLf4IJzr7sOKjFlKlQinOqeN7zWiman2jiVzwvg\nxmNHz5sIx9rj92TcTesTeRy4SSm1D7gI/AzwzpU8wLXWCW0lp5vGwoOVIKR3CQECyzMrNN/X+F00\nUPI1ttJRkUEV3Uy6zmlee4OO5StJJvNy5Yhu8bgZlUDzn3/8FRw+MMyWf3eE6ZJfZ9apPXbWtfCi\naDNbQaBDJgoeGpJoND/QXC54Jvs+wl5iYexYcOZDb6ZQDZgte+QrPr/635/hcrGKY1mE0SSer3gU\nvXDZ16MZ8eTmhXqBoI6fzVVD5qrVZPsD3zwL3zzb4hxMSHOsgTQLZqjFD00DLj/U/Ml3zrElMlV7\noWZrV4qRmQpj+TKaNBOFqqlSbCu+eurSFQfSNDNdJyUfNgkbTohorX2l1PuB/4EJ8f2k1rp5POgV\nsNk7oa2mQzF+//sffoYtkbYwMltOSnLMVvwFUTDLqeb7tdOTZB2L7T3ppGS9F4RcmKmwPYpQgii3\nwtJYWKRsEy6a+HWi/xlHUYoS6hQmymexRXyzkiPtEmpTUh3M6lgxH2VVS9wwKuNY9GVMLs2pBh9F\nGDR3xC8VzBaE8NTIbN13XKgG7OjJJKYZrTXbdYqLM2Umi96i16OWZpqYY5kEwq60w8+8dmeSSBsH\nRBz5/vh8SLE2eVGxNtLqsPMJmu0NLPYdxZS8hcm5lQDOT1eiMZvyN//i4Wd52VAXe7Zkm9TOcxaU\nKErKE0XP08tMtN2obDghAqC1/jvg79Z7HBuZlXQoNguRbPx8P9BMFs3K9+VD3QuE1mJ+qCMnxrj3\nkeMcHyuQsi0TLhuEnJsusQfoy7qMzFZIRZnUGcdEhnmB8fPsHTRZ6GcmS0ntJ9cCHWVGV4KQ7pTN\nTNmEFNvafH7tFGVHqn/KsSlFGk+MxXwW/1Imse+PmZ4lOdfGVl5SM0wxPwnv6J0PUY1zIBrpdB3r\nWiQZ3/F3Nl3y8IMwydZXSlH0Arb3ZpitBFja+JVaBRQ4FnX9WerGqSGXcrj/x27hjpsGCTV88blx\n/uibZzg3XSJlK3Ipm8GuVKKxxOakT/3sa/jic+N89EunqAYBU0U/EeCxxpVzLbIph6liteUYnEjd\nC8L2IuBMRWwAzVMjeZ4aybfxroVYivpKDnVCx2kpfJoJpnh71rWxrjLBtCGFiHDlrFRzn1YaTaHq\nsasmCmusUMGKVtiNJSwOHxhu2Vr3B3b18f6Hn2E0X44ys0kc0paC0XwFx1ZUg5DBnCmVUYzibuMw\n2rIXMNSdZntPqql/Jj6HvgyM5asoZXIlhrpTSQHEjGNzbrpExQ8WTEQhUZJijY27lSyphnBxppRc\nBxsTchvvnrZNdV0v6oFybqqzkOtWDORcjo/m674zPwgZzRvtLRZeVV+TsjWDXS6j+WpLk1HWtdia\nc7k4U2lZpv6//OSrAPjJh47x7Ogs0yU/0sKMSWquGuBYiqHuNHNVH63hg3fcyO6+LH/51AjdaZvz\nU9U6DTDWVCqBZk9XioxjMTJbJgzruyFYwI5eU+GgGmh+4pXDPPz0KK6lcG1lilAGmrLv05d2k9I6\ngdaEoabshxw+MJQk1V6cLfPiZNEkcBI3nWt+bUJtIsUKLaL9OqW2eOvC1hYLty8UUE5dbb1sysKp\nLUy3TESIXKOsVARaK42mWtJ1/SQWK2EBrVvr/tVTowx2ufihxlami6NjEVWaNSHDO3ozlD2fizNV\nYyOvuakdy5T+9oKQW7b38vGfXuiXqfXjeIHx46RtlVTsfejxCzi2YndfhlNRYyelwI3GUwlMTkVc\n028pP0I1MkV1u4pCtX7nSqAJKgHpnOkN8uOffLyt1XM72egAo4W4oZdPX9rholc25ekxEWyubaG1\nZmLO4/Rk0NJPZLQvY5JL2fORTQt8PNHzWGjNloO68iuWMrNxfOxG/+Pz43PMlD3KNe9RNf+9qN97\n2knhWorz0yWC0AQxuBbkq5rz0xWyrsX73nA9/+IHb+C1O/v4+LfPJVWm3/P63fzO0VOcnTKaapxX\n4liK/d1pfvvwy5Nj/8Jn/gG/L1MXzVWs+gx2p/mju17FXCWqmeeZ4q21OU2xIKqt+GBej+vszT8v\nemESFt9I0Zsv4b9SpB1rgVbULiJENjBXkmm73OY+rY55fDTPzr76PhY51zS4qvoa8PEip2aowbI0\nMyWPvqjBVLOqr7WCbTRfYbrkk466LNqRA9wPNddvzSUZ07d+7CgXZsxqtdaB7toW12/J1jWmasZi\nPrDbdvcnQRZg+po7NRNnvPSN50xbtfZN1BoiCi1S2P1Qc2muyr2PHKcnbTO9SHhyTO3hltKGwGhO\nI4UqjopMcZjyKW/cuyWp6Bv7bJoRYgSeFWruvm0Xv/3oSeNz0vMaIBhTUu1Co7HSdRzePVcNmiYC\nTpW8BTW/dHR+jjJaadELyLk2rmNhWRa7euY1x5Rt6vwr4L8/M8abb97Gu19/Pe9+/fWmLlio+bvo\nOHEQgxeEvDRTpj/r8h/e+jLSUR+SQOumSbrZyOe3JesmOVatWE45JS8I6/xHc1HZoaQEUVxyyGsl\niObr7MUJu60qjVf8kIofLlEzrzkbLsR3uXQS4tuKq6k8wkqEIS8nxLfRL7GjN41rW5yZLDHYZarf\nxnWMSl5Ad9rhbQeG+OunRyl6YWLzdyJj9lB3ipRt1423WemM58bzVHzN9VuynJsuRfkCJvJqe08m\nef++jzyKreD05VJSQj3uA767L8PF2Qrbe9OLfm/tfL9b/t0RYy7TpjZW7SRrR3kDOkqAa3a7uraJ\nqlrqrou1ttuv7+foqcmm+zjWfFXj+JxDvTznvykZovBrkvYsC9K2TRBqKouEPimMOWt7T4ZCxWN8\nrn4CspUpZzJbCZLv9bsXZlp+3suHuup+w3c8+BjfPH25ZbkY1zItnfdt7Up+w7WVg6t+XBvN1P26\noWbRUUvcedIPdeKDMo3P0kmdrvj38Ot/e5wXLs0lTbOGetJJQvNf/+JtJncnEk6mQoJOfDFXQzml\n2krjC7Ujn2I1TB7//k+8qq0QXxEibXK15Y40tlwFmKv6S664OyE+99F82VSijXwTe7ZkKHtB4jeI\n/QkAPWmbmXKQOECVMmU1XFtR9U3+xkDO4RU1volm5zSWL3NpzmPvQBbPDxnJV6gGmluGu7nvbQcS\nn8Y7P/09ChVjT7cshWtZUfSOCQF1bcXLh7pbfm9Lfb+xgPmHizNLagYKIpObSqrg1r7W7h1nYVoW\nVPzmbXEb9wvCMIpw6szxXju2tG1hW2pJs8mNgznKXmAKLUbCMdbIetM2f/7zP8D9R08l3+tiQuQH\ndvUxli9TqAb0Z11GZ00FZqdJ3TGFWYj86c/Ut7mNf0MnJ+bmc1Ei02fasSj5mh+6YaBugRAvQMYL\n1aRIY3fKZmLO48bBXPJ7mC550YQbJma7QJtcnaXa7Yah5o7/K/p9u05ynYpVn6GeNP/tFw4abScS\nPiZCrf1SOKvBy4Z6Nm2eyLpwtZVHWCnHeDskLWpr/BJgVm03DXbhBSGFyJkdtzSNHenVQCc9RWJ3\nSBxdsqsvWxel1czElrJtPnjn9UnJ8ddfv6Vp7aPulE2+7JuVYKDxAiPAnEgbua4vw2zFTzSld376\ne3zm516XfM79R00E0MRcfbXX+4+e4vHzxlcTRKvPpVb6migrG03KsVBBmITJLmdSMCamKGt6kfeG\nkJgp0rZq2XdkKWrfVQlCUnrxKKCsa0rmjMxWCLR5HofqOpbi+oFcXbh3odI6Gz5lK2ZKHuOFKqHW\n3DCQYzxfSSbbtG0t0IqGe1ILPueeQ/t512efqBOkOhKsoRcmpqfacPOJQpViNUjMcH4YkK8EpO36\n+z0Ocrh+S5axwnzl4KHu1JJNsixLcXaqtEDT7kk7vDRTZntvvUk4JtZqYo1mXsAwv11rE1DQoPms\nFSJE2mQtJ+12WMnSLEsRn3ujX6ISdYe8ZXsvL04WuWEgl9wg56ZLxr5M1J8iek/JM02N4hj6WmH8\n5fe9sWWSZ7NOgjAv4Cxlm6xbXZ8LEgLXbzE3aNxdz7UUc5WgLsT4+GieyaKHbamkBPlYvkqhOsO3\nzkwRap1sD1k6nyQ+vmLeP6JqtrV7ky93Mmj0H7RDq/FUl4gQ6E87nJsuEejIfxKF2O7pz9KbcRL7\nehy48M5Pf6+lAA5CzcVZI2Syrvkur+vL8OLlYhRaXP8uS8Fk0ePdn3uCoe4Us5UgmbiHe9JMl7yk\nwm9s7gs1bO9JLwg3vzBdqs+gTwIk6s8/roDQl3WT/KS4JXA7eVed3LNx24Hl8nfHR/nPkUDbuyXH\nv/wn+3jTTYN1pjbzeF74dIoIkTZZy0m7HTp1jHdCfO7D3WkzaUTNjBxLJcesNVmA0UjMil5FqyPz\nnvinWtsjojFKqx1/xaH9ps95nHjohyG2UqRc40iNbeCj+QqubXFxppx01wtCyLiKlKMSTbIShFHW\nurlhLQUeITNRPS1LgYpuaBUsndRnq/lQUTDOeNuyKC1hmlor0rYxEakG3027As6xFONz1eQ6WFbc\n08WEczu2qrs3Dh8Ypj/rcsNAjuNjedPmV9d/Xtmb90WAqb69dyCbFINMTG2OhQIuF40zfLZcn3s0\nV/V5xfaeRPPMV0zRSdsyAuD5iUJduHmj2yf2LXmhaZoVa6aK+ZyTmHgOaMdSsVb37JETY/yLv36W\nlKMYzKUYL1T4N397YlHTu9YLhUu7dB4cfI1xz6H9VH0dxbGb/6s1abeDWd29kh29GaZKHjt6M6vm\nn4nPPQ5ztS0zid442JUcs/H69GUcQg2DXam693SlbIa6U8lKDpYWxvEqb2S2zEDW5eREgd/64klO\nThTIOirqkqcJtfnlh3o+ZDFtG0FX8gIUsapvGh3VCq+UXZOQpjVeEBKENZqDNgmIQagTh30rrMj+\nnnUtXrWjl+60jWVZUW/y1u9T0XvjIIROaFdA2Za5Ptf1paMIpvrQ2ay7+NSgovyWeGINQvDCEEtp\nyl6Y3BtHToxxx4OPse8jjzJd8jg7VTS95KNrYWEEbhxxNdyTSlo3gIkcSzsWr93ZS8pWZB0LO2oO\nVvbCJLs/1mpTjgm5LnoBfRmXm7d105O2cW2VnFNsIqwNN58/b5uMYycTYyVqoVzxTb9311JN54AX\nJ4tJafuYRkvFWt2ztQKt9rrESabNUErh2BZpx+SR9GTa1y9EE2mTq7Ge1lqVZmk890a/RLN94hyL\nRl8GkKwW212N1fpkTl6ao1AxCX8vzVaStrMQd+XTUYvddGJqu+fQft756e8xVwnIuIrh7gx9WZe5\nqp8Ir1ds7+XkRCHpgBdqnQQFWDV9uitBmDjOYb4HRy0KY+tWygQ7DHWnODtVXlI4xCaVGMdS9LgW\n05WFCY5XSsU3WfpzVSNc4+NDlH+zRL17Symyjkpa6SoVEoYaT0F32uGBu14J1PdBz5c9LhfngxLi\nc93RZRpcpWxFoRIu+G3cvC1H0QvqzKm1l71WGHh+yFw14IVLRVK2YkdPmr6Mw2i+Sl/GQUdmyWqg\nE40n41qUovP1giDJfI+FehAtSvoyDgO5VNPeJPsGTrVlqViLe/bFySI28PzMvBY1FI15NZDoLGHN\nQ5eXWz04jp45P22c9Uik4WAAABWCSURBVLWx7mlbRRnj5necc+fDjxujq5pFX9192y6OnrrM8dE8\nM2WfwS6Xoe40T0elLga7XCbmvDphEUceXT+QY7JYZaZsYvTjeyntWNw42GXCRaPExeGeDLPlKuem\nK8kEGOdzJCG60cZYY1GYshlaa8q+biqwWrFUroitoD/rMFs2SX4lb97MlorKtS92tERrUirSDEzJ\nlz39uboQ3dqJ9fmJAkUvSBzdVo2TyIqaV/3kq3ckC4/aJlRxL/uR2UriNI+F8g1bc/RlXWZKHmen\nSri2YkdvmpHZCtUgjD73urp+8I0dIEdmK6BNyk88LDeKsNvTn6Uv6yb+j9MfevOC63E1RW/e+rGv\ncGJsLmnnHNckOzDcxZMfeFPbn9NuZ0MxZ13jNJqKYrvykRNjq3bMwweG+fL73sjpD7058afs+8ij\n3PHgY02Pa3wylcSnUYsXaqwoe0RhQl0LlWCBqaCZKeHu23bx0OMXGJkts7Mvw2CXaXR0caZEV9pm\nuCdFV8qpczoqYP/WHDv6MoAmZdvs7Mvw6h097OhNJ8EDz4zkuTRXTcKZf/LVO7CUzXW9876g2NkL\nZlLf1p3i37/lZpzIuZ+yFcVqQKEa0p916E5ZidkNmpvGsq5FxjGVi3szDhln4S0eC4DpyN9zYLiH\n7rSNa5lJxwvN6nyxyUFDkhNhRUl/sQZSW1Sz1sRT8UNS0bndOJgjFS0AQm2CH6pByEOPX+CeQ/s5\n/aE38+X3vTFZuT9w1ysZyLnJ+G0VFbFUUPYDtNa8NFtOIvH6sykODPdw42AXW7vS3La7Pxn31q40\n73vj3uS3cNO2bn7jLTfTk3VwLOhO22RdC9syv6yxginMuJjZdS3Ny0ujEvNg/Kej7atyNNFErm3W\nMt+kkXZXb0dOjPH2T/59tOI1rVubYQE3NySsLcZi5x6Hik4Wvbqiio6l2LtlPvroj+96VVL2fqbs\nm+J94XzZecdW6MgcsrvftGw9PpZPzCdgJv6caxFoY0bSWidaRBCV+c25NsM9ac5NlVuWw4gTFP3Q\n5NE8+YFD3PHgY3z99OUkKTHWfOLP705ZvGyoh6dHZqPwbeNjeNWOXqZL1QXVg5vhWoqBnMuf/sxr\ngPrCjnYU5l3xw8TsmEvZ3Lytu85pffO2boC6PJFGrbhVHlGhGrAlKsK5sy9Nf3Y+9FdrzcWZcuIX\nWOx3VpvsOlP2ODdVRkXBIDdszW2YnkLN8l6GulOEmqZaVCtEExHaoh2H4GrRrgPw8IFhbhnuNtE/\nka/CYn4lHk/YGrg4U6YaBIs6EWMWO/fDB4YZ7kkn9aEsFSXgKbMyrV2VXp6rMDFXpRyVd4H5hkBB\naMY7Vw2SY+3szZCyFWnb1HfamnOZKQd0p2yCcD44YE9/FttSpCxFxQ/py7js2ZIh48xHkNXiRgJL\nJVfDnGPGsZIw0dpwV0tBfxTgkHasJFEx9jHEeRCLoaLjxv6FWq3WVnC56Ee91s3OgTYahNY6Epgk\n7x2ZLXNhxpS5uVSocHKiUKcVN/u+hrrTbMm6nP7Qm3nD3i24dv2UVvQCk/NS8zvzA81ovsxdnzpW\np/3uG8glyZXxtbYts3BZX83CUBuk0EprB3Merm0E86t29HLztu6kLtlqIELkGqf2xolZq9Dl5Qiw\n+952C70ZxyQP1tjEk8geSHqGjOWrHB9dunx3b9rh++MFnh6Z5fmJAjNlr+7cZ6M8gv2DORzLikKA\n56OPDu3fyrs++wQnxuYW+B7Cmsna9CJnfoLKuomAsC2LQjVge0/KlLGPciRiM0rasRLHLsRhrzle\nvaOHH96/FcdSpO35aKqUo9jTnyEfVY7dN5CjP+uiUDi2SoSbpeBnX3sdKds2zv+uFKE2WtRQd4qx\nfJmXZiumQsEi19BSpnR9vuIvWBRUA01UuopAm+92sMsl0DBV8hKTYV/GZabsGb8EJOax8YJXtyBY\n6rfaKoIyZavkdzZT8qIwdU0QhnXm28b3O1FpnYd/8WBiWlsvlmN2XutIUhEi1zjrGbq8XAGWFPWL\nVvBW1EfdCBBjw7Yik8xiNZ8APvyF5zgxlqfohXiBCQE+M1liuuQloanTJY+nRmYZy1cY7HJxbdMN\nryttan4dPXWZfMVPGlq1Is4zmSp68xOUPT9B9WeNMx/MqtwIJB1pHyZUOo4sir+f+952gC+/7438\n4A0DbOtO1+UvVIKwbmJN2TZD3S5p2/g8UrZiT3+ab56ZojttkYoKMB4Y7uKW4W4KFZ9Lc14imFth\ntBCLkdlKUmOqmQ/EtlSyIt7TnyUdrYp1qHlppsITF2c4famYOPKdyGxp/DZesqhY6rfayi/xiu29\nye9srFCJul0qMq5dp/1eXX6NepYTtrvW5yEhvtc46xm6vJzkq/uPnmJLzmVX/3yPkrmqz6lLc3Ud\n+WKNIL3I5HfkxBgf/dILKKVIWaY3tx+aBLyhbmNPj0upFKsBFT+k7FUZ7kmxrSud3JC//PDTxnyl\nW0cyxaawHb1pBnIpQHN8rADAzdu6gPpEVmNGgZdmyoSaBaHSjd/Pof1b+frpSSxFks8wmq/yS7dv\nBRZ+vz1ph7F8hYzr1FzzkD++61XJZ976saPkK0a7qgRRpn6TMC+NiZRT0TiAFgmn82vV8UKFmbLP\nyYmCKcyp6mt9WYATmaTiIIWpkse+jzzKvoFcEk3X6rfaKoQ2/p3FLQlCPW+CayfZdb1ZbsWMtTwP\nESLCut04yxFgrW4i27IY7HKT/A4Tz+9yU+Sobcb9R08RhGZyVJaFQ5wfoDk+Nsc7P/09ulN2XZfE\nsmfqg33m526tK2Mxnq9QiqoUNxMkcRjsdMknX/bY2pVh70A2mcDf//AzSZRYLExjM0rt6rFV2Zej\npy6zvSfVcP4OR09dTt5T+/3e8eBjVIOwZWb1kRNjHB8rJNFP1UDjaV1X5qW21H2srTz0+IUF59GX\ncUyYrR/y1EszuLaVmMtmyj62pXCVRRBq/BpfUBzxVQlMQcnZko8faPwg5Oxkadmr6vrfWQlLmQiu\nOKlxPStPtMvVVjGjFhEiwrrSrgBrdRPdvC1HoRKys89ZUpup7dGO1vhhXJo9TBLMul1FoeJTrAZk\nHDupkxTnCNSONY7gKnrVluMONThKUw1C/EDTkwnYkjO1vOIJ/Oipyzxw1ys70gZfnCwy1J1OWtuC\n0charVCXWtHef/QUKdtkoNuWIoXGC00Bya6UbQpdVvy6as67t2RwLLXgPAZyKfJlHy/URMUE8KMm\nUnG5dZgXtCoau+k4GCSmyrRj4QWa8UKVoe5UR0VP499Z7Ftwor7uq1kuaCVZyzJHy0WEiLDmdJLc\n2Oom+t23v4L/2d69x9hRlnEc//66u93d3i9AL5TSFiuhSKmCNY2pFEEtEEGwSlEiGiKBYvjDQAJC\nCNEYQfQPEhAlGASNlktEGpAWW8BL5KqBQmkoLRRbWwrlUoptt+3u4x8zs51uZ/fMmZ0zM9s+n+Sk\n5zJn99fZ3fPOvO87zwu1z2bi04nbm8XOPdF66F10hkUbBYwf0da9psSWjzq6y7P0dvXxXQtnce5d\nz/VZOXdPFzQpmLb7wc69jBu+77X4bLAsZ4P1HqHW2v6N93YwYXgrG7btorNr37osnWbc/62TADjv\nN8/TZUF15nHDWxnZ1tLdcPV11gOwest2Nn/Y0d0wRBfDtbcEZ1DRdN33d+5h+669YVeYgrOfrmD/\n9WfmYBUrT6RR5dzeiLhCpal2mqTWH1GtP6b4wOT4EW385/1d0NW13xrZE0a0dndxvPnezu5rNvo6\n6jvjuHEce8TQ7iuE94RresRFF0FGYxZx/e2SqPcItdb2USMzeVRQ7nzH7qDkSlO4QuFV845hzpTR\nqRqupLOeCcNbefODnYwf0sqW7bvpCtcUHtnWwuCmpu7uwqk/Xt59hhjNGYgqR/e2v9IenFR13KOW\nqub22VmuUFmKw0XqvdI9Lj5zKLoGoL0lKEc/qr2ZSSNbmRCu6TCyrSW4Wr21KdXslg87Opk8qo3B\nzftmi0XD+kFBv6Dff1R7C029FPDLqt6ZOLW2jxfbPGLo4HCWVDBtOGrw5x0zNtWMvqTZdy3Ng5gx\nbhjTDx/GmCEtDBncxOj2ZqYfPmz/VS7DqclRyQ4IKsw2DVKvXZVFV15wAb9i3RUqaQncvmoSJclS\np6jW1en9qXsU/9pr3vmI3XuNLqy7/99s33K+tWYX5aU/9dCi9z61/v0DBqHj+6yeLsR692v03t2d\nwYqCu/Z20TxoENec9jGu/+KxB2xfZuWFg1XaK9a9EXGFyuOPPcvXSLv8bZYP90dXb+E7i19ge0dU\nATjoeolmIUVFAG88a8Z+KzI2quhlXsUA82rw+7Nf0743j6xuf2kbER8TcYXKY5ZJz772bTv38Nb2\nDtZu3cHnb/9n4odNmjGV/nyIx68EbwpL6HYZiWXzs44LpZVmgaQ0jVge00r7s1/reW+Vp8Ae7HxM\nxBUqj6tp433tURmL3Z1dtDWrz77w+JhKnmUsbn5yHaPaWzhu3HBmThzJCRNHMm3sEGaMH574ffoz\nLpRGrXIyaccPqrYQW18GUtaDjTcirnD9/TCPf2C8tb0jfFaMH9GW+wdyGvUWsWx00cta5WTqKXxZ\n1TIgPQ2krAcb785yA068a2rt1h20NQcNSDT4W1QV4khfXSlJ3UaN7nqp1WVYTwmNnl1KUSXZohYw\nq0dVp8Ae7PxMxA1I0dnM3GljmDSqfb91uYvuC++tK2XeMWMTu43STpHNqtZRedbKzT6N1iXxRsQN\naFXoC+/tQ/vJde8mdhtF5UEa2fXSV5dh1n3W6LEcNzB5d5Yb0KpSDiKpK2XRH1/qtduozK6XrPus\n3kqy7tBQWiMi6WvADcBxwGwzez722jXAxUAncIWZLQufnw/cAjQBd5rZjUXndtVT1b7wKk87zbLP\nqvz/ceUpszvrZeA84G/xJyXNABYCxwPzgV9IapLUBNwGnAHMAC4It3Wukorqaku7bGp/VaHr0FVP\naY2Ima02s1cTXjoHWGxmHWb2BrAWmB3e1prZ62a2G1gcbutcJRUx7bTIwW6fRuuSVHFM5Ejg6djj\njeFzABt6PP+ZokI5l0Wju9rSXJ2ep6p2HbryNLQRkbQcGJ/w0rVm9lBvb0t4zkg+a0os/CXpEuAS\ngMmTJ6dI6tzA5IPdrmwNbUTMLEvls43AUbHHk4BN4f3enu/5fe8A7oCgAGOGDM4NCD7Y7cpWxetE\nlgALJbVKmgpMB54FngOmS5oqaTDB4PuSEnM6Vzof7HZlK60RkXSupI3AHOARScsAzGwVcB/wCrAU\nuNzMOs1sL/A9YBmwGrgv3Na5Q5YPdruy+XoizjnnDpB2PZEqdmc555wbILwRcc45l5k3Is455zLz\nRsQ551xm3og455zL7KCfnSXpHeDNOt5yGLC1QXHy5Dnz5Tnz5TnzVUbOo83s8FobHfSNSL0kPZ9m\nWlvZPGe+PGe+PGe+qpzTu7Occ85l5o2Ic865zLwROdAdZQdIyXPmy3Pmy3Pmq7I5fUzEOedcZn4m\n4pxzLrNDvhGRNEbSXyS9Fv47uo9tR0j6r6Rbi8wYfu+aOSUdLelfkl6QtErSpRXNOUvSU2HGlZLO\nr2LOcLulkj6Q9HDB+eZLelXSWklXJ7zeKune8PVnJE0pMl8sR62cn5P0b0l7JS2oaMbvS3ol/F1c\nIenoiua8VNJL4d/3PyTNKCPnAczskL4BPwWuDu9fDdzUx7a3AL8Hbq1iTmAw0BreHwasByZWMOfH\ngenh/YnAZmBU1XKGr50GfBl4uMBsTcA6YFr4M30RmNFjm0XAL8P7C4F7i9x/deScAswE7gEWVDTj\nqcCQ8P5lFd6XI2L3zwaWFp0z6XbIn4kA5wB3h/fvBr6StJGkk4BxwGMF5eqpZk4z221mHeHDVso5\n00yTc42ZvRbe3wS8DdS8qClnqX7uZrYC2F5UqNBsYK2ZvW5mu4HFBHnj4vkfAE6TlLS0dCPVzGlm\n681sJdBVcLZImoxPmFm0nvDTBKumFi1Nzg9jD4fSy/LgRfNGBMaZ2WaA8N8jem4gaRDwc+CqgrPF\n1cwJIOkoSSuBDQRH14lLCDdQqpwRSbMJjrzWFZAtrq6cBTuS4OcX2Rg+l7iNBQu2bQPGFpIuIUMo\nKWfZ6s14MfBoQxMlS5VT0uWS1hGcSV9RULY+NXSN9aqQtBwYn/DStSm/xCLgz2a2oZEHeznkxMw2\nADMlTQT+JOkBM9uSV0bIJ2f4dSYAvwUuMrPcj1TzylmCpF+ynkedabZptCpkqCV1RkkXAicDpzQ0\nUbJUOc3sNuA2Sd8ArgMuanSwWg6JRsTMTu/tNUlbJE0ws83hh9rbCZvNAeZKWkQw1jBY0kdmdsDg\nV8k5419rk6RVwFyC7o5K5ZQ0AngEuM7Mns4zX545S7IROCr2eBLQ84wy2majpGZgJPBeMfEOyBBJ\nylm2VBklnU5wcHFKrEu4SPXuy8XA7Q1NlJJ3Z8ES9rXmFwEP9dzAzL5pZpPNbApwJXBP3g1ICjVz\nSpokqT28Pxr4LPBqYQkDaXIOBh4k2I/3F5gtrmbOEj0HTJc0NdxXCwnyxsXzLwAet3DEtUBpcpat\nZkZJnwR+BZxtZmUdTKTJOT328CzgtQLz9a7skf2ybwT9yCsIfiArgDHh8ycDdyZs/23KmZ1VMyfw\nBWAlwcyOlcAlFc15IbAHeCF2m1W1nOHjvwPvADsJjha/VFC+M4E1BGNF14bP/ZDggw6gDbgfWAs8\nC0wr+medMuenw/32P+BdYFUFMy4HtsR+F5dUdF/eAqwKMz4BHF9Gzp43v2LdOedcZt6d5ZxzLjNv\nRJxzzmXmjYhzzrnMvBFxzjmXmTcizjnnMvNGxLmSSLpB0pUJz58aVmqNbrskJdb2cq5sh8QV684N\nJGb2BDALgpL1BNeClFX407k++ZmIczmSNFTSI5JelPSypPMlrZd0WPj6yZKejL3lREmPh+uafDfh\nSy4AHrV9VWadqxRvRJzL13xgk5mdaGafAJbW2H4mQQmLOcD1YeHMuIXAH/KP6Vw+vBFxLl8vAadL\nuknSXDPbVmP7h8xsp5ltJShlMTt6ISwMeQKwrHFxnesfHxNxLkdmtiZcwOxM4CeSHgP2su+Ara3n\nW/p4/HXgQTPb05CwzuXAz0Scy1HYHbXDzH4H/Az4FMEyxSeFm3y1x1vOkdQmaSwwj6Caa+QCvCvL\nVZyfiTiXrxOAmyV1EVQqvgxoB34t6QfAMz22f5ZgXZXJwI8sXIlS0hSC9SX+Wkxs57LxKr7OOecy\n8+4s55xzmXkj4pxzLjNvRJxzzmXmjYhzzrnMvBFxzjmXmTcizjnnMvNGxDnnXGbeiDjnnMvs/zQT\nhS6cy1lJAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ " OLS Regression Results \n", "==============================================================================\n", "Dep. Variable: TAU R-squared: 0.195\n", "Model: OLS Adj. R-squared: 0.181\n", "Method: Least Squares F-statistic: 13.58\n", "Date: Sun, 10 Dec 2017 Prob (F-statistic): 1.15e-17\n", "Time: 20:10:50 Log-Likelihood: -2437.1\n", "No. Observations: 457 AIC: 4892.\n", "Df Residuals: 448 BIC: 4929.\n", "Df Model: 8 \n", "Covariance Type: nonrobust \n", "==============================================================================\n", " coef std err t P>|t| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "Intercept 39.6434 47.698 0.831 0.406 -54.095 133.382\n", "sub7 -54.0831 21.122 -2.560 0.011 -95.594 -12.572\n", "mean_gm 18.1270 66.021 0.275 0.784 -111.623 147.877\n", "tiv 3.222e-06 1.98e-05 0.163 0.871 -3.57e-05 4.21e-05\n", "age_scan 0.3037 0.360 0.843 0.400 -0.404 1.011\n", "gender -14.8652 5.039 -2.950 0.003 -24.768 -4.962\n", "AD 57.2799 7.427 7.712 0.000 42.684 71.876\n", "sMCI 22.2654 6.151 3.620 0.000 10.178 34.353\n", "pMCI 40.6755 7.418 5.484 0.000 26.098 55.253\n", "==============================================================================\n", "Omnibus: 251.552 Durbin-Watson: 1.873\n", "Prob(Omnibus): 0.000 Jarque-Bera (JB): 2458.502\n", "Skew: 2.189 Prob(JB): 0.00\n", "Kurtosis: 13.486 Cond. No. 6.21e+07\n", "==============================================================================\n", "\n", "Warnings:\n", "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n", "[2] The condition number is large, 6.21e+07. This might indicate that there are\n", "strong multicollinearity or other numerical problems.\n", "############################################################\n", "F test on full and reduced model:\n", "############################################################\n", " df_resid ssr df_diff ss_diff F Pr(>F)\n", "0 449.0 1.163361e+06 0.0 NaN NaN NaN\n", "1 448.0 1.146582e+06 1.0 16779.240859 6.556094 0.010779\n", "############################################################\n", "GLM results for effect of subtype weight on MMSE\n", "############################################################\n" ] }, { "data": { "image/png": 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GRE4hwrqg3QcmNDoVZXRevpjj5FSR74/PcPjoeJgvv2FbiqmiTaHqYrmSQtXlzFyZbL7K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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ " OLS Regression Results \n", "==============================================================================\n", "Dep. Variable: MMSE_bl R-squared: 0.183\n", "Model: OLS Adj. R-squared: 0.179\n", "Method: Least Squares F-statistic: 58.02\n", "Date: Sun, 10 Dec 2017 Prob (F-statistic): 1.35e-54\n", "Time: 20:10:51 Log-Likelihood: -3000.4\n", "No. Observations: 1305 AIC: 6013.\n", "Df Residuals: 1299 BIC: 6044.\n", "Df Model: 5 \n", "Covariance Type: nonrobust \n", "==============================================================================\n", " coef std err t P>|t| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "Intercept 21.4208 1.373 15.598 0.000 18.727 24.115\n", "sub7 5.3901 0.544 9.908 0.000 4.323 6.457\n", "mean_gm 21.6581 1.651 13.121 0.000 18.420 24.896\n", "tiv -2.305e-06 5.47e-07 -4.217 0.000 -3.38e-06 -1.23e-06\n", "age_scan 0.0154 0.010 1.482 0.139 -0.005 0.036\n", "gender 0.3343 0.138 2.419 0.016 0.063 0.605\n", "==============================================================================\n", "Omnibus: 112.603 Durbin-Watson: 1.937\n", "Prob(Omnibus): 0.000 Jarque-Bera (JB): 140.600\n", "Skew: -0.778 Prob(JB): 2.95e-31\n", "Kurtosis: 3.405 Cond. No. 5.63e+07\n", "==============================================================================\n", "\n", "Warnings:\n", "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n", "[2] The condition number is large, 5.63e+07. This might indicate that there are\n", "strong multicollinearity or other numerical problems.\n", "############################################################\n", "F test on full and reduced model:\n", "############################################################\n", " df_resid ssr df_diff ss_diff F Pr(>F)\n", "0 1300.0 8161.840950 0.0 NaN NaN NaN\n", "1 1299.0 7588.353056 1.0 573.487894 98.171602 2.327045e-22\n" ] } ], "source": [ "get_subtype_results(sub_img, 7, adni_df)" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] } ], "metadata": { "anaconda-cloud": {}, "kernelspec": { "display_name": "Python [conda root]", "language": "python", "name": "conda-root-py" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.5.4" } }, "nbformat": 4, "nbformat_minor": 1 }