{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Advanced Leaspy Utilisation\n",
"\n",
"This is already the last practical session of the day ! Be carefull you only have an __hour and a half__.\n",
"\n",
"## Objectives : \n",
"- Understand data format that is needed to use Leaspy,\n",
"- Learn to use parameters\n",
"- Explore models selection\n",
"\n",
"## The set-up\n",
"\n",
"As before, if you have followed the [installation details](https://gitlab.com/icm-institute/aramislab/disease-course-mapping-solutions) carefully, you should \n",
"\n",
"- be running this notebook in the `leaspy_tutorial` virtual environment\n",
"- having all the needed packages already installed\n",
"\n",
"đŦ Question 1 đŦ __Run the following command lines.__"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import os, sys\n",
"import numpy as np\n",
"import pandas as pd\n",
"import matplotlib.pyplot as plt\n",
"import seaborn as sns\n",
"import copy\n",
"from scipy import stats\n",
"%matplotlib inline\n",
"\n",
"from leaspy import Leaspy, IndividualParameters, AlgorithmSettings, Data"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Part I: The prediction\n",
"\n",
"One of the main issue of Parkinson disease specialized doctor is that they do not know how fast will the disease evolved and then are unable to set the right spacing between two visits wih their patients. In addition, they would like to give advises to their patients for them to anticipate administrative obligations by the time they are still able to do them. The most important score to monitore is MDS3_off_total, but it is always nice to have a some others. \n",
"\n",
"Leaspy could be a great tool to help solving those issues. The following part contains the main structure to train and test a leaspy model.\n",
"\n",
"### I.1. Prepare your data\n",
"\n",
"âšī¸ Information âšī¸ Two datasets, containing 200 patients, are available :\n",
"* __learn_leaspy2__ : contains historic data of patients visits,\n",
"* __pred_leaspy2__ : contains the next visit for each patient, that it would be nice to predict.\n",
"\n",
"đŦ Question 2 đŦ __Run the following command lines to load the data.__"
]
},
{
"cell_type": "code",
"execution_count": 83,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"
\n",
"\n",
"
\n",
" \n",
" \n",
" \n",
" \n",
" MDS1_total \n",
" MDS2_total \n",
" MDS3_off_total \n",
" SCOPA_total \n",
" MOCA_total \n",
" PUTAMEN_R \n",
" PUTAMEN_L \n",
" CAUDATE_R \n",
" CAUDATE_L \n",
" AGD_total \n",
" \n",
" \n",
" ID \n",
" TIME \n",
" \n",
" \n",
" \n",
" \n",
" \n",
" \n",
" \n",
" \n",
" \n",
" \n",
" \n",
" \n",
" \n",
" \n",
" GS-001 \n",
" 62.289333 \n",
" NaN \n",
" 3.556297 \n",
" -9.000000 \n",
" 0.000000 \n",
" 26.784926 \n",
" 0.168703 \n",
" 0.140237 \n",
" 0.069723 \n",
" 0.041532 \n",
" 0.078704 \n",
" \n",
" \n",
" 62.789333 \n",
" 4.644412 \n",
" 6.570468 \n",
" 15.658805 \n",
" 5.721043 \n",
" 25.303684 \n",
" 0.146405 \n",
" 0.172067 \n",
" 0.034234 \n",
" 0.089805 \n",
" 0.374873 \n",
" \n",
" \n",
" 63.289333 \n",
" 1.955755 \n",
" 2.621946 \n",
" 29.142870 \n",
" 0.000000 \n",
" 30.000000 \n",
" 0.163331 \n",
" 0.188258 \n",
" 0.069586 \n",
" 0.060110 \n",
" 0.194420 \n",
" \n",
" \n",
" 64.289330 \n",
" NaN \n",
" 0.000000 \n",
" 44.319816 \n",
" 44.560006 \n",
" 29.851244 \n",
" 0.185705 \n",
" 0.177019 \n",
" 0.053399 \n",
" 0.076220 \n",
" 0.237782 \n",
" \n",
" \n",
" 64.789330 \n",
" 4.169568 \n",
" 4.752366 \n",
" 29.652244 \n",
" 0.000000 \n",
" 28.533121 \n",
" 0.194951 \n",
" 0.171595 \n",
" 0.048021 \n",
" 0.083921 \n",
" 0.159916 \n",
" \n",
" \n",
"
\n",
"
"
],
"text/plain": [
" MDS1_total MDS2_total MDS3_off_total SCOPA_total \\\n",
"ID TIME \n",
"GS-001 62.289333 NaN 3.556297 -9.000000 0.000000 \n",
" 62.789333 4.644412 6.570468 15.658805 5.721043 \n",
" 63.289333 1.955755 2.621946 29.142870 0.000000 \n",
" 64.289330 NaN 0.000000 44.319816 44.560006 \n",
" 64.789330 4.169568 4.752366 29.652244 0.000000 \n",
"\n",
" MOCA_total PUTAMEN_R PUTAMEN_L CAUDATE_R CAUDATE_L \\\n",
"ID TIME \n",
"GS-001 62.289333 26.784926 0.168703 0.140237 0.069723 0.041532 \n",
" 62.789333 25.303684 0.146405 0.172067 0.034234 0.089805 \n",
" 63.289333 30.000000 0.163331 0.188258 0.069586 0.060110 \n",
" 64.289330 29.851244 0.185705 0.177019 0.053399 0.076220 \n",
" 64.789330 28.533121 0.194951 0.171595 0.048021 0.083921 \n",
"\n",
" AGD_total \n",
"ID TIME \n",
"GS-001 62.289333 0.078704 \n",
" 62.789333 0.374873 \n",
" 63.289333 0.194420 \n",
" 64.289330 0.237782 \n",
" 64.789330 0.159916 "
]
},
"execution_count": 83,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"data_path = os.path.join(os.getcwd(),'..','data/TP3_advanced_leaspy/')\n",
"df = pd.read_csv(data_path + \"learn_leaspy2.csv\")\n",
"df.set_index(['ID', 'TIME'], inplace=True)\n",
"df.head()"
]
},
{
"cell_type": "code",
"execution_count": 84,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" \n",
" TIME \n",
" MDS1_total \n",
" MDS2_total \n",
" MDS3_off_total \n",
" SCOPA_total \n",
" MOCA_total \n",
" PUTAMEN_R \n",
" PUTAMEN_L \n",
" CAUDATE_R \n",
" CAUDATE_L \n",
" AGD_total \n",
" \n",
" \n",
" ID \n",
" \n",
" \n",
" \n",
" \n",
" \n",
" \n",
" \n",
" \n",
" \n",
" \n",
" \n",
" \n",
" \n",
" \n",
" \n",
" GS-001 \n",
" 69.089333 \n",
" 4.960370 \n",
" 5.635592 \n",
" 45.674665 \n",
" 13.727753 \n",
" 27.915718 \n",
" 0.209688 \n",
" 0.229443 \n",
" 0.105179 \n",
" 0.137542 \n",
" 0.319582 \n",
" \n",
" \n",
" GS-002 \n",
" 73.647736 \n",
" 14.674264 \n",
" 9.983259 \n",
" 48.461299 \n",
" 1.777607 \n",
" 19.778270 \n",
" 0.268539 \n",
" 0.211596 \n",
" 0.196772 \n",
" 0.193251 \n",
" 0.404642 \n",
" \n",
" \n",
" GS-003 \n",
" 62.491299 \n",
" NaN \n",
" 9.429927 \n",
" -9.000000 \n",
" 27.019072 \n",
" 24.602786 \n",
" 0.182493 \n",
" 0.151622 \n",
" 0.056601 \n",
" 0.096034 \n",
" 0.347589 \n",
" \n",
" \n",
" GS-004 \n",
" 67.666000 \n",
" 7.170177 \n",
" 3.978171 \n",
" 7.608285 \n",
" 0.000000 \n",
" 27.879789 \n",
" 0.223414 \n",
" 0.185168 \n",
" 0.186051 \n",
" 0.182661 \n",
" 0.312880 \n",
" \n",
" \n",
" GS-005 \n",
" 74.125290 \n",
" NaN \n",
" 3.628875 \n",
" -9.000000 \n",
" 3.493040 \n",
" 28.498334 \n",
" 0.197911 \n",
" 0.189411 \n",
" 0.114025 \n",
" 0.122356 \n",
" 0.336951 \n",
" \n",
" \n",
"
\n",
"
"
],
"text/plain": [
" TIME MDS1_total MDS2_total MDS3_off_total SCOPA_total \\\n",
"ID \n",
"GS-001 69.089333 4.960370 5.635592 45.674665 13.727753 \n",
"GS-002 73.647736 14.674264 9.983259 48.461299 1.777607 \n",
"GS-003 62.491299 NaN 9.429927 -9.000000 27.019072 \n",
"GS-004 67.666000 7.170177 3.978171 7.608285 0.000000 \n",
"GS-005 74.125290 NaN 3.628875 -9.000000 3.493040 \n",
"\n",
" MOCA_total PUTAMEN_R PUTAMEN_L CAUDATE_R CAUDATE_L AGD_total \n",
"ID \n",
"GS-001 27.915718 0.209688 0.229443 0.105179 0.137542 0.319582 \n",
"GS-002 19.778270 0.268539 0.211596 0.196772 0.193251 0.404642 \n",
"GS-003 24.602786 0.182493 0.151622 0.056601 0.096034 0.347589 \n",
"GS-004 27.879789 0.223414 0.185168 0.186051 0.182661 0.312880 \n",
"GS-005 28.498334 0.197911 0.189411 0.114025 0.122356 0.336951 "
]
},
"execution_count": 84,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df_vis = pd.read_csv(data_path + \"pred_leaspy2.csv\")\n",
"df_vis.set_index(['ID'], inplace=True)\n",
"df_vis.head()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"âšī¸ Information âšī¸ You have the following informations about scores :\n",
"* __MDS1_total__ : increasing score from 0 to 52,\n",
"* __MDS2_total__ : increasing score from 0 to 52,\n",
"* __MDS3_off_total__ : increasing score from 0 to 132,\n",
"* __SCOPA_total__ : increasing score from 0 to 72,\n",
"* __MOCA_total__ : decreasing score from 30 to 0,\n",
"* __AGD_total__ : unknown positive score (will need to be explored),\n",
"* __Others__ : the rest are imaging increasing score and then have no border, except that they are suppose to be positive. \n",
"\n",
"đŦ Question 3 đŦ __Plot histogram to check that the data are as expected.__"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"# To complete"
]
},
{
"cell_type": "code",
"execution_count": 85,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# ââââââââââââââââ #\n",
"# ââââ Answer ââââ #\n",
"# ââââââââââââââââ #\n",
"\n",
"df.hist(figsize = (10,10))\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"đŦ Question 4 đŦ __Check that the variables respect the constraints. How can you interpret those unexpected datas ?__\n",
"\n",
"Your answer: ...\n",
"\n",
"đŦ Question 5 đŦ __Apply the right pre-processing to those unexpected data. Do not forget to apply it on ALL the data.__"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [],
"source": [
"# To complete"
]
},
{
"cell_type": "code",
"execution_count": 86,
"metadata": {},
"outputs": [],
"source": [
"# ââââââââââââââââ #\n",
"# ââââ Answer ââââ #\n",
"# ââââââââââââââââ #\n",
"\n",
"df = df.replace(-9,np.nan)\n",
"df_vis = df_vis.replace(-9,np.nan)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"âšī¸ Information âšī¸ Leaspy model is able to handle NaN, but it is always important to quantify them.\n",
"\n",
"đŦ Question 6 đŦ __Return the number of NaN by feature.__"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [],
"source": [
"# To complete"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"MDS1_total 596\n",
"MDS2_total 0\n",
"MDS3_off_total 196\n",
"SCOPA_total 0\n",
"MOCA_total 0\n",
"PUTAMEN_R 0\n",
"PUTAMEN_L 0\n",
"CAUDATE_R 0\n",
"CAUDATE_L 0\n",
"AGD_total 0\n",
"dtype: int64"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# ââââââââââââââââ #\n",
"# ââââ Answer ââââ #\n",
"# ââââââââââââââââ #\n",
"\n",
"df.isna().sum()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"âšī¸ Information âšī¸ Leaspy model only takes normalised increasing with time data.\n",
"\n",
"đŦ Question 7 đŦ __Using the functions below, explore AGD_total to try to understand its progression and compare it to other features.__"
]
},
{
"cell_type": "code",
"execution_count": 87,
"metadata": {},
"outputs": [],
"source": [
"def plot_individuals(df, feature, sublist=None):\n",
" plt.figure(figsize=(12, 6))\n",
" \n",
" if sublist is None:\n",
" sublist = df.index.unique('ID')\n",
" \n",
" colors = sns.color_palette(palette='icefire', n_colors=len(sublist), desat=None, as_cmap=False)\n",
" \n",
" for c, idx in zip(colors, sublist):\n",
" indiv_df = df.loc[idx]\n",
" \n",
" ages = indiv_df.index.get_level_values(0)\n",
" real_values = indiv_df[feature].values\n",
" plt.plot(ages, real_values, c=c)\n",
" plt.xlabel(\"Age in years\")\n",
" plt.ylabel(feature)\n",
" plt.title(\"Evolution for each patient of \" + feature)\n",
" \n",
" \n",
"def individual_linear_regression_against_time(df, feature):\n",
" \n",
" # individual linear regressions on each feature, to study individual progression (with linear regression against age)\n",
" lin_reg_on_frame_time_y = lambda t: pd.Series(dict(zip(['slope','intercept','correl_coef','pval','stderr','intercept_stderr'], \n",
" stats.linregress(t.values))))\n",
" \n",
" \n",
" # select individuals with at least 3 visits\n",
" s = df[feature].dropna()\n",
" nb_visits_with_data = s.groupby('ID').size()\n",
" s = s.loc[nb_visits_with_data[nb_visits_with_data >= 3].index]\n",
" \n",
" return s.reset_index('TIME').groupby('ID').apply(lin_reg_on_frame_time_y)\n"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [],
"source": [
"# To complete"
]
},
{
"cell_type": "code",
"execution_count": 88,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": "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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"MDS1_total: linear correlation coefficient with time = 0.36 Âą 0.45\n"
]
},
{
"data": {
"image/png": "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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"MDS2_total: linear correlation coefficient with time = 0.37 Âą 0.42\n"
]
},
{
"data": {
"image/png": "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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"MDS3_off_total: linear correlation coefficient with time = 0.35 Âą 0.37\n"
]
},
{
"data": {
"image/png": "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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"SCOPA_total: linear correlation coefficient with time = 0.08 Âą 0.40\n"
]
},
{
"data": {
"image/png": "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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"MOCA_total: linear correlation coefficient with time = -0.20 Âą 0.39\n"
]
},
{
"data": {
"image/png": "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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"PUTAMEN_R: linear correlation coefficient with time = 0.44 Âą 0.37\n"
]
},
{
"data": {
"image/png": "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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"PUTAMEN_L: linear correlation coefficient with time = 0.48 Âą 0.35\n"
]
},
{
"data": {
"image/png": "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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"CAUDATE_R: linear correlation coefficient with time = 0.53 Âą 0.35\n"
]
},
{
"data": {
"image/png": "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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"CAUDATE_L: linear correlation coefficient with time = 0.54 Âą 0.36\n"
]
},
{
"data": {
"image/png": "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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"AGD_total: linear correlation coefficient with time = 0.09 Âą 0.44\n"
]
}
],
"source": [
"# ââââââââââââââââ #\n",
"# ââââ Answer ââââ #\n",
"# ââââââââââââââââ #\n",
"\n",
"plot_individuals(df, \"AGD_total\", sublist = df.index.unique('ID')[:8])\n",
"plt.grid()\n",
"plt.show()\n",
"\n",
"for ft_name, s in df.items():\n",
" \n",
" ilr_ft = individual_linear_regression_against_time(df, ft_name)\n",
"\n",
" ax = ilr_ft[['slope','correl_coef', 'pval']].hist(figsize=(14,5), layout=(1,3))\n",
" plt.gcf().suptitle(ft_name+'\\n', fontweight='bold', fontsize=20)\n",
" plt.show()\n",
" \n",
" print(f\"{ft_name}: linear correlation coefficient with time = \"\n",
" f\"{ilr_ft['correl_coef'].mean():.2f} Âą {ilr_ft['correl_coef'].std():.2f}\")\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"đŦ Question 8 đŦ __What do you conclude about AGD_total progression? Should we consider it for longitudinal modeling?__\n",
"\n",
"Your answer: ...\n",
"\n",
"đŦ Question 9 đŦ __Now that you know the progression of all the features, can you normalize them all now? If not what is the issue and which features are concerned?__\n",
"\n",
"Your answer: ...\n",
"\n",
"đŦ Question 10 đŦ __Run the code below to split the data into a training and testing set.__"
]
},
{
"cell_type": "code",
"execution_count": 89,
"metadata": {},
"outputs": [],
"source": [
"##CREATE TRAINING AND TESTING SETS\n",
"patient_stop = 'GS-100'\n",
"patient_start = 'GS-101'\n",
"\n",
"df_train = df.loc[:patient_stop].copy()\n",
"df_test = df.loc[patient_start:].copy()\n",
"df_to_pred = df_vis.loc[patient_start:].copy()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"đŦ Question 11 đŦ __Normalize the data using the function below and making sure that you have increasing data at the end.__"
]
},
{
"cell_type": "code",
"execution_count": 90,
"metadata": {},
"outputs": [],
"source": [
"def normalize(df, feat, max_, min_, increase = True ):\n",
" df_study = df[feat].copy()\n",
" df_study = (df_study - min_) / (max_ - min_)\n",
" if not increase :\n",
" df_study = 1 - df_study\n",
" return df_study"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [],
"source": [
"# To complete"
]
},
{
"cell_type": "code",
"execution_count": 91,
"metadata": {},
"outputs": [],
"source": [
"# ââââââââââââââââ #\n",
"# ââââ Answer ââââ #\n",
"# ââââââââââââââââ #\n",
"\n",
"# bounded scores\n",
"scores = {\n",
" \"MDS1_total\": (52, 0, True), # max, min, increase?\n",
" \"MDS2_total\": (52, 0, True),\n",
" \"MDS3_off_total\": (132, 0, True),\n",
" \"SCOPA_total\": (72, 0, True),\n",
" \"MOCA_total\": (30, 0, False),\n",
" #\"AGD_total\": #No need we will not use it...\n",
"}\n",
"\n",
"for score_name, normalize_args in scores.items():\n",
" df_train.loc[:, score_name] = normalize(df_train, score_name, *normalize_args )\n",
" df_test.loc[:, score_name] = normalize(df_test, score_name, *normalize_args )\n",
" df_to_pred.loc[:, score_name] = normalize(df_to_pred, score_name, *normalize_args )\n",
"\n",
"# imagery (all features are increasing)\n",
"for var_name in ['PUTAMEN_R', 'PUTAMEN_L', 'CAUDATE_R', 'CAUDATE_L']:\n",
" \n",
" df_test.loc[:, var_name] = normalize(df_test, var_name, df_train[var_name].max(), \n",
" df_train[var_name].min(), increase = True )"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### I.2. Train your model\n",
"\n",
"âšī¸ Information âšī¸ Be carefull you have only an __hour and half__ and running a leaspy model on ten features can take a lot of time... We advise you to start by univariate model ...\n",
"\n",
"đŦ Question 12 đŦ __Complete the code below to select the columns you want to use to train your leaspy model.__"
]
},
{
"cell_type": "code",
"execution_count": 92,
"metadata": {},
"outputs": [],
"source": [
"# To complete\n",
"\n",
"col = #####################################\n",
"\n",
"data_train = Data.from_dataframe(df_train[col]) \n",
"data_test = Data.from_dataframe(df_test[col])\n",
"df_to_pred = df_to_pred"
]
},
{
"cell_type": "code",
"execution_count": 93,
"metadata": {},
"outputs": [],
"source": [
"# ââââââââââââââââ #\n",
"# ââââ Answer ââââ #\n",
"# ââââââââââââââââ #\n",
"\n",
"col = [\"MDS3_off_total\", \"MDS2_total\"]\n",
"\n",
"data_train = Data.from_dataframe(df_train[col]) \n",
"data_test = Data.from_dataframe(df_test[col])\n",
"df_to_pred = df_to_pred"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"đŦ Question 13 đŦ __Complete the code below to set the parameters you want for your model.__"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"# To complete\n",
"\n",
"leaspy_model = ###############\n",
"nb_source = ###############\n",
"algo_settings = #################\n",
"\n",
"algo_settings.set_logs(path='logs', \n",
" console_print_periodicity=None, # If = N, it display logs in the console/terminal every N iterations\n",
" overwrite_logs_folder=True # Default behaviour raise an error if the folder already exists.\n",
")\n",
"\n",
"##FIT\n",
"leaspy = Leaspy(leaspy_model)\n",
"leaspy.model.load_hyperparameters({'source_dimension': nb_source})\n",
"leaspy.fit(data_train, algorithm_settings=algo_settings)"
]
},
{
"cell_type": "code",
"execution_count": 98,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"\n",
"...overwrite logs folder...\n",
"|##################################################| 3000/3000 iterations\n",
"The standard deviation of the noise at the end of the calibration is:\n",
"0.0582\n",
"\n",
"Calibration took: 2min 48s\n"
]
}
],
"source": [
"# ââââââââââââââââ #\n",
"# ââââ Answer ââââ #\n",
"# ââââââââââââââââ #\n",
"\n",
"leaspy_model = \"logistic\" #'univariate'\n",
"nb_source = 1\n",
"algo_settings = AlgorithmSettings('mcmc_saem', \n",
" n_iter=3000, # n_iter defines the number of iterations\n",
" progress_bar=True) # To display a nice progression bar during calibration\n",
"\n",
"algo_settings.set_logs(path='logs', \n",
" console_print_periodicity=None, # If = N, it display logs in the console/terminal every N iterations\n",
" overwrite_logs_folder=True # Default behaviour raise an error if the folder already exists.\n",
")\n",
"\n",
"##FIT\n",
"leaspy = Leaspy(leaspy_model)\n",
"leaspy.model.load_hyperparameters({'source_dimension': nb_source})\n",
"leaspy.fit(data_train, algorithm_settings=algo_settings)\n",
"\n",
"#leaspy = Leaspy.load('./outputs/model_parameters.json')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"đŦ Question 14 đŦ __Evaluate that your model learned well and then save it.__"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"# To complete"
]
},
{
"cell_type": "code",
"execution_count": 99,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"{'g': tensor([0.9264, 1.3880]), 'v0': tensor([-4.4238, -4.1641]), 'betas': tensor([[-0.0449]]), 'tau_mean': tensor(71.3112), 'tau_std': tensor(10.0713), 'xi_mean': tensor(0.), 'xi_std': tensor(0.6131), 'sources_mean': tensor(0.), 'sources_std': tensor(1.), 'noise_std': tensor(0.0582)}\n"
]
},
{
"data": {
"text/html": [
"\n",
" \n",
" "
],
"text/plain": [
""
]
},
"execution_count": 99,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# ââââââââââââââââ #\n",
"# ââââ Answer ââââ #\n",
"# ââââââââââââââââ #\n",
"\n",
"# Check the logs, the noise std, coherence of model parameters, ...\n",
"\n",
"leaspy.save('./outputs/model_parameters.json', indent=2)\n",
"\n",
"print(leaspy.model.parameters)\n",
"\n",
"from IPython.display import IFrame\n",
"IFrame('./logs/plots/convergence_1.pdf', width=990, height=670)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### I.3. Test your model\n",
"\n",
"đŦ Question 15 đŦ __Complete the code below to make the predictions.__"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"# To complete\n",
"\n",
"##SET PARAMETERS\n",
"settings_personalization = #################\n",
"\n",
"##PREDICTIONS\n",
"ip = #################\n",
"reconstruction = #################\n",
"d2 = {k: v[0] for k, v in reconstruction.items()}\n",
"df_pred = pd.DataFrame.from_dict(d2, orient='index', columns = [s+\"_model1\" for s in col])"
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"|##################################################| 100/100 subjects\n",
"The standard deviation of the noise at the end of the personalization is:\n",
"0.0567\n",
"\n",
"Personalization scipy_minimize took: 2s\n"
]
}
],
"source": [
"# ââââââââââââââââ #\n",
"# ââââ Answer ââââ #\n",
"# ââââââââââââââââ #\n",
"\n",
"##SET PARAMETERS\n",
"settings_personalization = AlgorithmSettings('scipy_minimize', progress_bar=True, use_jacobian=True)\n",
"\n",
"##PREDICTIONS\n",
"ip = leaspy.personalize(data_test, settings_personalization)\n",
"reconstruction = leaspy.estimate(dict(zip(df_to_pred.index,df_to_pred['TIME'])), ip)\n",
"d2 = {k: v[0] for k, v in reconstruction.items()}\n",
"df_pred = pd.DataFrame.from_dict(d2, orient='index', columns = [s+\"_model1\" for s in col])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"đŦ Question 16 đŦ __Display results of your prediction against real values and the mean absolute error.__"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"# To complete"
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Mean absolute error MDS3_off_total : 0.059690863332327676\n"
]
},
{
"data": {
"image/png": "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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Mean absolute error MDS2_total : 0.05356992930173874\n"
]
},
{
"data": {
"image/png": "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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# ââââââââââââââââ #\n",
"# ââââ Answer ââââ #\n",
"# ââââââââââââââââ #\n",
"\n",
"for s in col :\n",
" print(\"Mean absolute error \"+s+\" : \" + str(np.abs(df_to_pred[s]-df_pred[s+'_model1']).mean()))\n",
" plt.scatter(df_to_pred[s], df_pred[s+'_model1'])\n",
" plt.plot([0,1],[0,1])\n",
" plt.title(s)\n",
" plt.xlabel(\"Real value\")\n",
" plt.ylabel(\"Predicted value\")\n",
" plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"âšī¸ Information âšī¸ Note that an average good error is about 5% of absolute error for MDS3_off_total."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Part II: The cofactor evaluation\n",
"\n",
"Besides prediction, the individual parameters are interesting in the sense that they provide meaningful and interesting insights about the disease progression. For that reasons, these individual parameters can be correlated to other cofactors. Let's consider that you have a covariate Cofactor 1 that encodes a genetic status: 1 if a specific mutation is present, 0 otherwise. Now, let's see if this mutation has an effect on the disease progression. \n",
"\n",
"đŦ Question 17 đŦ __Complete the code below to see the repartition of carriers and non carriers.__"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"# To complete\n",
"import seaborn as sns\n",
"\n",
"# ââ Convert individual parameters to dataframe\n",
"df_ip = ###############\n",
"\n",
"# ââ Join the cofactors to individual parameters\n",
"cofactor = pd.read_csv(data_path + \"cof_leaspy2.csv\", index_col=['ID'])\n",
"df_ip = df_ip.join(cofactor.replace({'MUTATION':{0: 'Non-carrier', 1: 'Carrier'}}))\n",
"\n",
"_, ax = plt.subplots(1, 2, figsize=(14, 6))\n",
"\n",
"# ââ Plot the time shifts in carriers and non-carriers\n",
"ax[0].set_title('Time shift histogram')\n",
"sns.histplot(data=df_ip, x=..., hue=..., bins=15, ax=ax[0], stat='count', common_norm=False, kde=True)\n",
"\n",
"# ââ Plot the acceleration factor in carriers and non-carriers\n",
"ax[1].set_title('Log-Acceleration factor histogram')\n",
"sns.histplot(data=df_ip, x=..., hue=..., bins=15, ax=ax[0], stat='count', common_norm=False, kde=True)\n",
"\n",
"plt.show()\n",
"\n",
"# __ Joint density (tau, xi) __\n",
"g = sns.jointplot(data=..., x=..., y=..., hue=..., height=6)\n",
"g.plot_joint(sns.kdeplot, zorder=0, levels=8, bw_adjust=1.5)\n",
"g.ax_joint.grid();\n",
"\n",
"# __ Nb of mutated patients ___\n",
"df_ip['MUTATION'].value_counts(dropna=False)"
]
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"text/plain": [
"Non-carrier 71\n",
"Carrier 29\n",
"Name: MUTATION, dtype: int64"
]
},
"execution_count": 29,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# ââââââââââââââââ #\n",
"# ââââ Answer ââââ #\n",
"# ââââââââââââââââ #\n",
"\n",
"import seaborn as sns\n",
"\n",
"# ââ Convert individual parameters to dataframe\n",
"df_ip = ip.to_dataframe()\n",
"\n",
"# ââ Join the cofactors to individual parameters\n",
"cofactor = pd.read_csv(data_path + \"cof_leaspy2.csv\", index_col=['ID'])\n",
"df_ip = df_ip.join(cofactor.replace({'MUTATION':{0: 'Non-carrier', 1: 'Carrier'}}))\n",
"\n",
"_, ax = plt.subplots(1, 2, figsize=(14, 6))\n",
"\n",
"# ââ Plot the time shifts in carriers and non-carriers\n",
"ax[0].set_title('Time shift histogram')\n",
"sns.histplot(data=df_ip, x='tau', hue='MUTATION', bins=15, ax=ax[0], stat='count', common_norm=False, kde=True)\n",
"\n",
"# ââ Plot the acceleration factor in carriers and non-carriers\n",
"ax[1].set_title('Log-Acceleration factor histogram')\n",
"sns.histplot(data=df_ip, x='xi', hue='MUTATION', bins=15, ax=ax[1], stat='count', common_norm=False, kde=True)\n",
"\n",
"plt.show()\n",
"\n",
"# __ Joint density (tau, xi) __\n",
"g = sns.jointplot(data=df_ip, x=\"tau\", y=\"xi\", hue=\"MUTATION\", height=6)\n",
"g.plot_joint(sns.kdeplot, zorder=0, levels=8, bw_adjust=1.5)\n",
"g.ax_joint.grid();\n",
"\n",
"# __ Nb of mutated patients ___\n",
"df_ip['MUTATION'].value_counts(dropna=False)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"đŦ Question 18 đŦ __Make a statistic tests using `stats.ttest_ind` and `stats.mannwhitneyu`.__"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"# To complete"
]
},
{
"cell_type": "code",
"execution_count": 34,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Ttest_indResult(statistic=6.116870627752805, pvalue=1.958990326701787e-08)\n",
"Ttest_indResult(statistic=-2.9131535065482375, pvalue=0.004431884326689646)\n",
"MannwhitneyuResult(statistic=301.0, pvalue=1.6002231482727975e-08)\n",
"MannwhitneyuResult(statistic=662.0, pvalue=0.0026530380825654097)\n"
]
}
],
"source": [
"# ââââââââââââââââ #\n",
"# ââââ Answer ââââ #\n",
"# ââââââââââââââââ #\n",
"\n",
"carriers = df_ip[df_ip['MUTATION'] == 'Carrier']\n",
"non_carriers = df_ip[df_ip['MUTATION'] == 'Non-carrier']\n",
"\n",
"# ââ Student t-test (under the asumption of a gaussian distribution only)\n",
"print(stats.ttest_ind(carriers['tau'], non_carriers['tau']))\n",
"print(stats.ttest_ind(carriers['xi'], non_carriers['xi']))\n",
"\n",
"# ââ Mann-withney t-test\n",
"print(stats.mannwhitneyu(carriers['tau'], non_carriers['tau']))\n",
"print(stats.mannwhitneyu(carriers['xi'], non_carriers['xi']))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Part III: Univariate vs Multivariate\n",
"\n",
"Now that you have a multivariate model that works, let's compare the multivariate and univariate model. For that you will compare a multivariate model with MDS3 and MDS2 with two univariate model MDS2 and MDS3 separatly. \n",
"\n",
"đŦ Question 19 đŦ __Fit 3 models, one multivariate and two univariate with MDS2 and MDS3.__"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"# To complete\n",
"\n",
"leaspy_model_u = ###########################\n",
"leaspy_model = ###########################\n",
"algo_settings = ###########################\n",
"\n",
"#With MDS2 and MDS3\n",
"data_train23 = ###########################\n",
"data_test23 = ###########################\n",
"\n",
"leaspy23 = #########\n",
"###########################\n",
"\n",
"#With MDS3\n",
"data_train3 = ##################\n",
"data_test3 = ##################\n",
"\n",
"leaspy3 = ##################\n",
"##################\n",
"\n",
"#With MDS2\n",
"\n",
"##########################"
]
},
{
"cell_type": "code",
"execution_count": 35,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"|##################################################| 3000/3000 iterations\n",
"The standard deviation of the noise at the end of the calibration is:\n",
"0.0583\n",
"\n",
"Calibration took: 53s\n",
"|##################################################| 3000/3000 iterations\n",
"The standard deviation of the noise at the end of the calibration is:\n",
"0.0661\n",
"\n",
"Calibration took: 12s\n",
"|##################################################| 3000/3000 iterations\n",
"The standard deviation of the noise at the end of the calibration is:\n",
"0.0669\n",
"\n",
"Calibration took: 9s\n"
]
}
],
"source": [
"# ââââââââââââââââ #\n",
"# ââââ Answer ââââ #\n",
"# ââââââââââââââââ #\n",
"\n",
"leaspy_model_u = 'univariate_logistic'\n",
"leaspy_model = \"logistic\" #'univariate'\n",
"algo_settings = AlgorithmSettings('mcmc_saem', \n",
" n_iter=3000, # n_iter defines the number of iterations\n",
" progress_bar=True) # To display a nice progression bar during calibration\n",
"\n",
"#algo_settings.set_logs(path=...)\n",
"\n",
"#With MDS2 and MDS3\n",
"data_train23 = Data.from_dataframe(df_train[[\"MDS3_off_total\", \"MDS2_total\"]]) \n",
"data_test23 = Data.from_dataframe(df_test[[\"MDS3_off_total\", \"MDS2_total\"]])\n",
"\n",
"leaspy23 = Leaspy(leaspy_model)\n",
"leaspy23.fit(data_train23, algorithm_settings=algo_settings)\n",
"leaspy23.save('./outputs/model_parameters_23.json', indent=2)\n",
"\n",
"#With MDS3\n",
"data_train3 = Data.from_dataframe(df_train[[\"MDS3_off_total\"]]) \n",
"data_test3 = Data.from_dataframe(df_test[[\"MDS3_off_total\"]])\n",
"\n",
"leaspy3 = Leaspy(leaspy_model_u)\n",
"leaspy3.fit(data_train3, algorithm_settings=algo_settings)\n",
"leaspy3.save('./outputs/model_parameters_3.json', indent=2)\n",
"\n",
"#With MDS2\n",
"data_train2 = Data.from_dataframe(df_train[[\"MDS2_total\"]]) \n",
"data_test2 = Data.from_dataframe(df_test[[\"MDS2_total\"]])\n",
"\n",
"leaspy2 = Leaspy(leaspy_model_u)\n",
"leaspy2.fit(data_train3, algorithm_settings=algo_settings)\n",
"leaspy2.save('./outputs/model_parameters_2.json', indent=2)\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"đŦ Question 20 đŦ __Make the predictions for each model.__"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"# To complete\n",
"\n",
"##SET PARAMETERS\n",
"settings_personalization = #############################\n",
"\n",
"##PREDICTIONS MDS3\n",
"ip23 = #############################\n",
"reconstruction23 = leaspy23.estimate(dict(zip(df_to_pred.index,df_to_pred['TIME'])), ip23)\n",
"d223 = {k: v[0] for k, v in reconstruction23.items()}\n",
"df_pred23 = pd.DataFrame.from_dict(d223, orient='index', columns = [\"MDS3_off_total_model_m\", \"MDS2_total_model_m\"])\n",
"\n",
"##PREDICTIONS MDS3\n",
"ip3 = #############################\n",
"reconstruction3 = leaspy3.estimate(dict(zip(df_to_pred.index,df_to_pred['TIME'])), ip3)\n",
"d23 = {k: v[0] for k, v in reconstruction3.items()}\n",
"df_pred3 = pd.DataFrame.from_dict(d23, orient='index', columns = [\"MDS3_off_total_model_u\"])\n",
"\n",
"##PREDICTIONS MDS3\n",
"#############################\n",
"\n",
"#CONCATE PREDICTIONS\n",
"df_pred_mu = pd.concat([df_pred23, df_pred3, df_pred2], axis = 1)"
]
},
{
"cell_type": "code",
"execution_count": 100,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"|##################################################| 100/100 subjects\n",
"The standard deviation of the noise at the end of the personalization is:\n",
"0.0569\n",
"\n",
"Personalization scipy_minimize took: 3s\n",
"|##################################################| 100/100 subjects\n",
"The standard deviation of the noise at the end of the personalization is:\n",
"0.0687\n",
"\n",
"Personalization scipy_minimize took: 1s\n",
"|##################################################| 100/100 subjects\n",
"The standard deviation of the noise at the end of the personalization is:\n",
"0.0707\n",
"\n",
"Personalization scipy_minimize took: 1s\n"
]
}
],
"source": [
"# ââââââââââââââââ #\n",
"# ââââ Answer ââââ #\n",
"# ââââââââââââââââ #\n",
"\n",
"##SET PARAMETERS\n",
"settings_personalization = AlgorithmSettings('scipy_minimize', progress_bar=True, use_jacobian=True)\n",
"\n",
"##PREDICTIONS MDS3\n",
"ip23 = leaspy23.personalize(data_test23, settings_personalization)\n",
"reconstruction23 = leaspy23.estimate(dict(zip(df_to_pred.index,df_to_pred['TIME'])), ip23)\n",
"d223 = {k: v[0] for k, v in reconstruction23.items()}\n",
"df_pred23 = pd.DataFrame.from_dict(d223, orient='index', columns = [\"MDS3_off_total_model_m\", \"MDS2_total_model_m\"])\n",
"\n",
"##PREDICTIONS MDS3\n",
"ip3 = leaspy3.personalize(data_test3, settings_personalization)\n",
"reconstruction3 = leaspy3.estimate(dict(zip(df_to_pred.index,df_to_pred['TIME'])), ip3)\n",
"d23 = {k: v[0] for k, v in reconstruction3.items()}\n",
"df_pred3 = pd.DataFrame.from_dict(d23, orient='index', columns = [\"MDS3_off_total_model_u\"])\n",
"\n",
"##PREDICTIONS MDS3\n",
"ip2 = leaspy2.personalize(data_test2, settings_personalization)\n",
"reconstruction2 = leaspy2.estimate(dict(zip(df_to_pred.index,df_to_pred['TIME'])), ip2)\n",
"d22 = {k: v[0] for k, v in reconstruction2.items()}\n",
"df_pred2 = pd.DataFrame.from_dict(d22, orient='index', columns = [\"MDS2_total_model_u\"])\n",
"\n",
"#CONCATE PREDICTIONS\n",
"df_pred_mu = pd.concat([df_pred23, df_pred3, df_pred2], axis = 1)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"đŦ Question 21 đŦ __Display results of predictions against real values and the mean absolute error.__"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"# To complete"
]
},
{
"cell_type": "code",
"execution_count": 101,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Mean absolute error MDS3_off_total_model_m : 0.05958525082644294\n"
]
},
{
"data": {
"image/png": "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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Mean absolute error MDS3_off_total_model_u : 0.06501929260352078\n"
]
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAYIAAAEWCAYAAABrDZDcAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjMuMywgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/Il7ecAAAACXBIWXMAAAsTAAALEwEAmpwYAAAz7klEQVR4nO3dd5gV9fX48fdhCywdpC8sTYpUgUVQYi9YUUSjRo0aFWPiN4nxh2DHjho1JpqCxKgxsQHiWhB7FwVEFhYB6ewCUpe2C2w5vz9mFi+XW2bv3rJ373k9D4+3zJ05gzpn5lPOR1QVY4wxqateogMwxhiTWJYIjDEmxVkiMMaYFGeJwBhjUpwlAmOMSXGWCIwxJsVZIjDGmBRnicCkBBEZISI/iMhuETlPRNqKyKcisktEHk1gXCeISGGiju/G8KyI3Odx29UickqsYzLxZYnAeOZeBPaLSCu/z+eLiIpIF/eist+9wO4SkUUi8qCINPPZPlNEHhWRQvfCvFpE/uzz/QsiskFEdorIMhG5Jgrh3wM8qaqNVXUGMBbYAjRV1ZtCnPNEEXnB60Gqu70xtYElAlNdq4BLqt6ISH+god82D6tqE6A1cBUwHPhCRBq5398C5AJHAU2AE4BvfX7/INBFVZsCo4D7RGRIDePuDBT4vV+sNrXeGEsEptr+A/zS5/0VwPOBNlTVvao6B+difhhOUgAYCrymquvVsVpVn/f5XYGq7qt66/7pHi4wEblWRJaLyDYRyRORDu7nK4BuwBvuE8iLbtw3u+8DNnWIyOnArcBF7nYL3M87uPvf5h7v2jDbXyUi37tPSCtF5Lpw5xIgltUiMk5E8kVkj4j8y23emunu930RaeGz/SgRKRCRYhH5WESO8PlukIh86/7uZaCB37HOFpHv3N9+KSIDqhnrQU1NtaH5y4RmicBU12ygqYgcISJpwMVAyKYQVd0FvAcc67OPP4rIb0Skv4iI/29E5G8iUgIsATYAb4c6hoichPMk8XOgPbAGeMk9fndgLXCO2zR0CfBfnCeXxqr6fpC43wEeAF52txvofvUSUAh0AC4AHhCRk0Jsvwk4G2iKkwwfF5HBoc4niDHAqUBP4BxgJk7iaY3z//Lv3L+LnsCLwB/c797GSYKZIpIJzMBJ6C2BV939Vv09DgKeAa7DSd7/BPJEpH4E8ZokYYnARKLqqeBU4HugyMNv1uNceMC5YD8EXArMBYpE5ArfjVX1NzjNRscC04F9hHYp8Iyqfus+TdwCHC0iXbyckFci0gkYAYx3n3i+A6Zw8FPSQVT1LVVd4T79fAK8y09JsTr+qqo/qmoR8BnwtarOV9W9wGvAIHe7i4C3VPU9VS0D/gRkAcfgNNNlAH9W1TJVnQrM8TnGWOCfqvq1qlao6nM4f/fDI4jXJAlLBCYS/wF+AVxJkGahALKBbQDuBeYpVR0BNAfuB57xbb7w2e5zoCNwfZj9d8B5Cqj67W5gq3vcaOoAbHOfcqqsCXUcETlDRGa7TUnFwJlAq2Dbh/Cjz+vSAO8b+8To+3dRCaxzY+wAFPn1jazxed0ZuMltFip24+3k/s7UUZYITLWp6hqcTuMzce7WQxKRxsApOHex/vsqVdWngO1AnyC7SCd8H8F6nItY1TEb4TRteHlaCcW/M3k90FJEmvh8luNznIO2d5tUpuHclbdV1eY4TTWHNIdFkf/fheBczItwmtmy/ZrjcnxerwPuV9XmPn8aquqL1Tj+Hg4eQNCu2mdg4soSgYnU1cBJqron2AYiUt8d7TMD50L/b/fzP7gdiFkiku42CzUB5otIGxG5WEQai0iaiIzEGaX0QZh4XgSuEpEj3YvvAzhNJ6treJ4/Al1EpB6Aqq4DvgQeFJEGbkfq1fzUT3LQ9kAmUB/YDJSLyBnAaTWMKZxXgLNE5GQRyQBuwmne+RL4CigHficiGSJyPs7orSpPA78WkWHiaCQiZ/klvnC+A84UkZYi0g6nr8LUYpYITETcNu+5Qb6+WUR24TTNPA/MA47xSRolwKPARpyx/L8FxqjqSpw76utxOmO349xJ/0FV88LE8z5wB87d9wacJ4iLIz/DA151/7lVRKqGuF4CdMG5834NuMunw/mg7d0mpN/hXJy34zSphTyXmlLVpcBlwF9x/n7Pweko36+q+4HzcZr1tuH0J0z3+e1c4FrgSTfe5e621fEfYAGwGqc/5OWIT8bEhdgwamOMSW32RGCMMSnOEoFJGiJyqztRy//PzBrud2aQ/d4ardg9xJATJIbdIpITfg/xVRv+zkz0WNOQMcakuPREB1BdrVq10i5duiQ6DGOMSSrz5s3boqqtA32XdImgS5cuzJ0bbLCKMcaYQERkTbDvrI/AGGNSnCUCY4xJcZYIjDEmxVkiMMaYFGeJwBhjUlzMEoGIPCMim0RkUZDvRUT+Is4KT/kRLtRhjDGmhmL5RPAscHqI788Aerh/xgJ/j2EsxhhjgohZIlDVT3EXIgniXOB5d9Wm2UBzEWkfq3iMMSZZle6v4MGZ31O4vSQm+09kH0E2ziIYVQoJssqTiIwVkbkiMnfz5s1xCc4YY2qDL1dsYeSfP+Wfn6zko6Wxuf4lxcxiVZ0MTAbIzc214kjGmDpv594yHnz7e178Zh1dDmvIS2OHM7zbYTE5ViITQRHO8nlVOlLzZQWNMSbpvbf4R26fsZDNu/Zx3fHduPGUnjTISIvZ8RKZCPKAG0TkJWAYsENVNyQwHmOMSagtu/cxMa+AN/M30LtdE57+ZS4DOjaP+XFjlghE5EXgBKCViBQCdwEZAKr6D5wFvM/EWQqvBLgqVrEYY0xtpqq8/t167n6jgD37Krjp1J5cd3x3MtPj040bs0SgqpeE+V5x1qo1xpiUtb64lNtnLOLDJZsYlNOch8cMoEfbJnGNISk6i40xpq6prFT+981aJs1cQkWlcufZfbjimC6k1ZO4x2KJwBhj4mzVlj2Mn5bPN6u28bPDW/Hg+f3p1LJhwuKxRGCMMXFSXlHJlM9X8fh7y8hMr8fDYwZwYW5HROL/FODLEoExxsTB4vU7GT8tn4VFOzitT1vuPa8fbZs2SHRYgCUCY4yJqX3lFTz54XL+/vEKmjfM4KlfDObM/u0S/hTgyxKBMcbEyLw12xk/LZ/lm3Zz/uBs7jirDy0aZSY6rENYIjDGmCgr2V/OI7OW8uyXq+nQLItnrxrKCb3aJDqsoCwRGGNMFH3+wxYmTM+ncHspvzy6Mzef3pvG9Wv3pbZ2R2eMMUliR0kZ97+9mFfmFtKtVSNeue5ojuraMtFheWKJwBhjauidRRu54/VFbNuzn+tP6M7vT+4R0yJx0WaJwBhjIrR5l1Mk7q2FG+jTvin/vnIo/bKbJTqsarNEYIwx1aSqTP+2iHveXEzp/grGjezF2OO6kZGWyLW+ImeJwBhjqqGouJRbpy/kk2WbGdK5BQ+NGcDhbRonOqwasURgjDEeVFYqL3y9hodmLkGBu0f15fLhnamXgCJx0WaJwBhjwlixeTcTpuUzZ/V2ju3RigdGJ7ZIXLRZIjDGmCDKKip5+rOV/Pn9H8jKSONPFw5kzODsWlUeIhosERhjTACLinYwflo+Bet3cka/dtx9bl/aNKkdReKizRKBMcb42FtWwV8//IF/fLKSFg0z+fulgzmjf/tEhxVTlgiMMcY1d/U2bp6Wz8rNe7hwSEduO+sImjesfUXios0SgTEm5e3eV84j7yzh+dlr6NAsi+d/dRTH9Wyd6LDixhKBMSalfbJsM7dOX8j6HaVccXQXxo3sRaNaXiQu2lLrbI0xxlVcsp973/yead8W0r11I1697mhyuyRHkbhos0RgjEk5Mxdu4I7XC9hesp8bTjycG046PKmKxEWbJQJjTMrYtHMvd75ewDsFG+mX3ZTnfjWUvh2Sr0hctFkiMMbUearK1HmF3PvmYvaWVzL+9N5ce2xX0pO0SFy0WSIwxtRp67aVcOtrC/nshy0c1aUlk8b0p1vr5C4SF22WCIwxdVJFpfL8V6t5ZNZSBLj33L5cOqxuFImLNksExpg6Z/mmXYyftpB5a7ZzfM/WPHB+f7KbZyU6rFrLEoExps4oq6jkn5+s4C8fLKdh/TQe+/lARg+qe0Xios0SgTGmTlhYuIObp+Xz/YadnDWgPRPP6UvrJvUTHVZSsERgjElqe8sq+PP7P/D0Zys5rFEm/7x8CCP7tkt0WEklpolARE4HngDSgCmqOsnv+xzgOaC5u80EVX07ljEZY+qOr1duZcL0hazasoeLcjtx61lH0CwrI9FhJZ2YJQIRSQOeAk4FCoE5IpKnqot9NrsdeEVV/y4ifYC3gS6xiskYUzfs2lvGw+8s5T+z19CpZRb/vWYYIw5vleiwklYsnwiOApar6koAEXkJOBfwTQQKNHVfNwPWxzAeY0wd8NHSTdw2fSEbdu7lVyO68v9G9qRhprVy10Qs//aygXU+7wuBYX7bTATeFZH/AxoBpwTakYiMBcYC5OTkRD1QY0ztt33Pfu59czHT5xfRo01jpl1/DINzWiQ6rDoh0Wn0EuBZVX1URI4G/iMi/VS10ncjVZ0MTAbIzc3VBMRpjEkQVeWthRu46/UCdpSW8buTe/DbE7tTPz11i8RFWywTQRHQyed9R/czX1cDpwOo6lci0gBoBWyKYVzGmCTx48693D5jEe8t/pEBHZvxwjXDOKJ90/A/NNUSy0QwB+ghIl1xEsDFwC/8tlkLnAw8KyJHAA2AzTGMyRiTBFSVV+au4763vmd/eSW3ntmbX42wInGxErNEoKrlInIDMAtnaOgzqlogIvcAc1U1D7gJeFpEbsTpOL5SVa3px5gUtnZrCROm5/Pliq0M69qSh8YMoEurRokOq06LaR+BOyfgbb/P7vR5vRgYEcsYjDHJoaJSefbL1fxp1lLS6gn3j+7HJUNzrEhcHCS6s9gYY1j24y5unprPd+uKOal3G+4f3Y/2zaxIXLxYIjDGJMz+8kr+/vEKnvzoBxrXT+eJi49k1MAOViQuziwRGGMSYsG6YsZPy2fJxl2MGtiBu87pw2GNrUhcIlgiMMbEVen+Ch5/fxlTPltJmyYNmPLLXE7p0zbRYaU0SwTGmLj5asVWbpmez+qtJVxyVA63nNmbpg2sSFyiWSIwxsTczr1lTJq5hP99vZbOhzXkf9cO45juViSutrBEYIyJqQ++/5HbXlvEpl17ufbYrvzx1F5kZVp5iNrEEoExJia27t7H3W8sJm/Benq1bcI/Lh/CkZ2aJzosE4AlAmNMVKkqeQvWc/cbi9m1t4wbT+nJ9Sd0JzPdykPUVpYIjDFRs2FHKbe/togPlmxiYKfmPDxmAL3aNUl0WCYMSwTGmBqrrFRemrOOB9/+nrLKSm4/6wiuGtGVNCsPkRQsERhjamT1lj1MmJ7P7JXbOLrbYUwa05/Oh1mRuGRiicAYE5Hyikr+/cVqHn1vKRn16jHp/P5cNLSTlYdIQpYIjDHVtmTjTsZPzWdB4Q5OOaIt953Xj3bNGiQ6LBMhSwTGGM/2lVfw1Ecr+NtHy2mWlcFfLxnE2QPa21NAkrNEYIzxZP7a7Yyfls+yH3czelA2d5zdh5aNMhMdlokCSwTGmJBK9pfz6LvLeOaLVbRr2oBnrszlpN5WJK4uCZsIRKQn8Hegrar2E5EBwChVvS/m0RljEurL5VuYMH0ha7eVcNnwHMaf3psmViSuzvEy1e9p4BagDEBV83EWojfG1FE7SsuYMC2fX0z5mrR6wktjh3Pfef0tCdRRXpqGGqrqN36dQeUxiscYk2DvFmzk9hmL2LJ7H9cd340bT+lJgwwrEleXeUkEW0SkO6AAInIBsCGmURlj4m7L7n1MzCvgzfwN9G7XhClX5DKgY/NEh2XiwEsi+C0wGegtIkXAKuCymEZljIkbVWXGd0Xc/cZiSvZVcNOpPfn1Cd3JSLMicakibCJQ1ZXAKSLSCKinqrtiH5YxJh7WF5dy22sL+WjpZgblOEXierS1InGpxsuooTv93gOgqvfEKCZjTIxVVir//WYtD81cQkWlcufZfbjimC5WJC5FeWka2uPzugFwNvB9bMIxxsTays27mTBtId+s3sbPDm/Fg+f3p1PLhokOyySQl6ahR33fi8ifgFkxi8gYExPlFZVM+XwVj7+3jPrp9Xj4ggFcOKSjlYcwEc0sbgh0jHYgxpjYWbx+JzdPW8Ciop2M7NuWe8/tR5umViTOOLz0ESzEHToKpAGtAesfMCYJ7Cuv4MkPl/P3j1fQvGEGf7t0MGf0a2dPAeYgXp4IzvZ5XQ78qKo2ocyYWm7emm2Mn7aQ5Zt2c/7gbO44qw8trEicCSBoIhCRlu5L/+GiTUUEVd0Wu7CMMZHas6+cR2Yt5bmvVtOhWRbPXjWUE3q1SXRYphYL9UQwD6dJKNAzpALdwu1cRE4HnsBpUpqiqpMCbPNzYKK7zwWq+ovwYRtjAvnsh83cMn0hhdtLueLozow7vTeN61uRYRNa0P9CVLVrTXYsImnAU8CpQCEwR0TyVHWxzzY9cArajVDV7SJity3GRGBHSRn3vbWYV+cV0q11I1799dEM7dIy/A+NweOoIRFpAfTAmUcAgKp+GuZnRwHL3ZnJiMhLwLnAYp9trgWeUtXt7j43eQ/dGAPwzqKN3PH6Irbt2c9vTujO707uYUXiTLV4GTV0DfB7nCGj3wHDga+Ak8L8NBtY5/O+EBjmt01P9xhf4DQfTVTVdwLEMBYYC5CTkxMuZGNSwqZde5mYV8DbCzfSp31T/n3lUPplN0t0WCYJeXki+D0wFJitqieKSG/ggSgevwdwAk6i+VRE+qtqse9GqjoZp/Adubm5ijEpTFWZ9m0R9765mNKyCsaN7MXY47pZkTgTMS+JYK+q7hURRKS+qi4RkV4eflcEdPJ539H9zFch8LWqlgGrRGQZTmKY4yV4Y1JN4fYSbn1tEZ8u20xu5xZMGjOAw9s0TnRYJsl5SQSFItIcmAG8JyLbgTUefjcH6CEiXXESwMWA/4igGcAlwL9FpBVOU9FKT5Ebk0IqK5X/zF7DQ+8sAeDuUX25fHhn6lmROBMFXmoNjXZfThSRj4BmwCHt+AF+Vy4iN+DUJUoDnlHVAhG5B5irqnnud6eJyGKgAhinqlsjPBdj6qQVm3czfmo+c9ds57ierXlgdD86trAicSZ6RDV0k7uI/AV4SVW/jE9IoeXm5urcuXMTHYYxMVdWUcnkT1fyxAc/kJWRxh1n92HM4GwrD2EiIiLzVDU30HdemobmAbe7/QKv4SQFuxIbE0OLinZw89R8Fm/YyZn92zFxVF/aNLEicSY2vDQNPQc855acGAM8JCI5qtoj5tEZk2L2llXwxAc/MPnTlbRomMk/LhvM6f3aJzosU8dVZ+754UBvoDO2MI0xUTdn9TbGT81n5ZY9XDikI7ef1YdmDTMSHZZJAV4mlD0MjAZWAC8B9/qP8zfGRG73vnIefmcJz3+1ho4tsvjP1UdxbI/WiQ7LpBAvTwQrgKNVdUusgzEm1XyybDO3Tl/I+h2lXHlMF8aN7EUjKxJn4sxLH8E/4xGIMamkuGQ/97y5mOnfFtG9dSOm/vpohnS2InEmMezWw5g4UlVmLtrIna8vorikjBtOPJwbTjrcisSZhLJEYEycbNq5lzteX8Ssgh/pl92U5351FH07WJE4k3heVigLyFYoM8YbVeXVeYXc9+Zi9pVXMuGM3lzzs66kW5E4U0t4XaEsB9juvm4OrAVqtHCNMalg3bYSbpm+kM+Xb+GoLi2ZNKY/3VpbkThTu4RdoUxEngZeU9W33fdnAOfFJTpjklRFpfL8V6t5+J2l1BO497x+XHpUjhWJM7WSlz6C4ap6bdUbVZ3pzi0wxgSwfNMubp6az7drizmhV2vuH92f7OZZiQ7LmKC8JIL1InI78IL7/lJgfexCMiY5lVVU8o+PV/DXD5fTsH4aj180kPOOtCJxpvbzkgguAe7CKTinwKfuZ8YY18LCHYybuoAlG3dx9oD2TBzVl1aN6yc6LGM88TKhbBvwexFppKp74hCTMUljb1kFj7+/jKc/XUmrxvWZfPkQTuvbLtFhGVMtXmoNHQNMARoDOSIyELhOVX8T6+CMqc2+XrmVCdMXsmrLHi4e2olbzjyCZllWJM4kHy9NQ48DI4E8AFVdICLHxTQqY2qxXXvLeOidJbwwey2dWmbx32uGMeLwVnE59oz5RTwyaynri0vp0DyLcSN7cd6g7Lgc29RdnmYWq+o6vw6vitiEY0zt9tGSTdz62kI27tzL1T/ryk2n9aRhZnwm6M+YX8Qt0xdSWub871dUXMot0xcCWDIwNeLlv+B1bvOQikgG8HtsPQKTYrbt2c89bxQw47v19GjTmGnXH8PgnBZxjeGRWUsPJIEqpWUVPDJrqSUCUyNeEsGvgSeAbKAIeBew/gGTElSVN/M3MDGvgB2lZfzu5B789sTu1E+Pf5G49cWl1frcGK+8JIJeqnqp7wciMgL4IjYhGVM7/LhzL7e9toj3v/+RAR2b8d9rh9G7XdOExdOheRZFAS76HWyymqkhL1Wv/urxM2PqBFXlpW/Wcspjn/DZD5u57cwjmH79MQlNAgDjRvYiy69cdVZGGuNG9kpQRKauCFV99GjgGKC1iPzR56umgBVPN3XS2q0lTJiez5crtjKsa0seGjOALq0aJTos4KcOYRs1ZKItVNNQJs7cgXSgic/nO4ELYhmUMfFWUan8+4tV/OndpaTXq8cDo/tz8dBOta5I3HmDsu3Cb6IuVPXRT4BPRORZVV0Tx5iMiaulG3dx87R8Fqwr5qTebbh/dD/aN0vtdnebr5BavHQWTxGRC1W1GEBEWgAvqerImEZmTIztL6/kbx8v56mPltOkQQZPXHwkowZ2SPkicTZfIfV4SQStqpIAgKpuF5E2sQvJmNhbsK6Ym6fms/THXZx7ZAfuPLsPh4UpEpcqd8k2XyH1eEkElSKSo6prAUSkM04VUmOSTun+Ch57byn/+nwVbZo0YMovczmlT9uwv0ulu2Sbr5B6vCSC24DPReQTnKUqjwXGxjQqY2LgyxVbuGX6QtZsLeEXw3KYcEZvmjbwViQule6Sbb5C6vFShvodERkMDHc/+oOqboltWMZEz869ZTz49hJe/GYtnQ9ryP+uHcYx3atXJC6V7pLHjex10NMP2HyFui7UPILeqrrETQLw06pkOW5T0bexD8+Ymnl/8Y/cNmMhm3ftY+xx3bjxlJ5kZVZ/Gkwq3SXbfIXUE+qJ4CbgWuDRAN8pcFK4nYvI6Th1itKAKao6Kch2Y4CpwFBVnRtuvya1eem03bp7H3e/sZi8Bevp3a4Jky/PZWCn5hEfM9Xukm2+QmoJNY/gWvefJ0ayYxFJA54CTgUKgTkikqeqi/22a4JT0fTrSI5jUku4TltVJW/BeibmFbB7Xzk3ntKT60/oTma6l2oqwdldsqnLQjUNnR/qh6o6Pcy+jwKWq+pKd38vAecCi/22uxd4CBgXNlqT8kJ12g7r1pLbX1vEB0s2cWSn5jx8wQB6tm0SZE/VF+u75FQZnmpqn1BNQ+e4/2yDU3PoQ/f9icCXQLhEkA2s83lfCAzz3cDtf+ikqm+JSNBEICJjcUcq5eTkhDmsqcuCdc4WFZdy6mOfUl5Zye1nHcFVI7qSVsvKQ4SSSsNTTe0T9HlZVa9S1auADKCPqo5R1TFAX/ezGhGResBjOH0RIanqZFXNVdXc1q1b1/TQJomF6pwd0LEZ7/7heK45tltSJQEI/aRjTKx5aTjtpKobfN7/CHi5LS8COvm87+h+VqUJ0A/4WERW4wxPzRORXA/7NikqUClmgIuHduK/1wwj57CGCYiq5lJpeKqpfbxMKPtARGYBL7rvLwLe9/C7OUAPEemKkwAuBn5R9aWq7gAODOYWkY+B/2ejhkwo5w3KZn1xKY+/v4yyCqVBej1uOfMIrjimS6JDq5FUGp5qah8vE8puEJHRwHHuR5NV9TUPvysXkRuAWTjDR59R1QIRuQeYq6p5NQnc1EyydUzOmF/Ew+8sYf2OvQA0rp/O4xf156z+7etEkbhUG55qahcvTwQA3wK7VPV9EWkoIk1UdVe4H6nq28Dbfp/dGWTbEzzGYmoo2TomZ8wvYvzUfPZVVB74rLyikvIKrRNJAGx4qkksUQ1dP05ErsUZsdNSVbuLSA/gH6p6cjwC9Jebm6tz51rrUU2MmPRhwGaI7OZZfDEh7DzBiET6BFKyv5yh97/Pnn0Vh3yXJkKlql00jfFAROapasA+WC+dxb8FRuCsTIaq/oAzpNQkqXh3TFY9gRQVl6L89AQyY35RyN99sXwLI//8acAkAFChemB/N778HV0mvMWISR+G3a8x5mBemob2qer+qkdwEUnHylAntXh3THqp3On7xNCuaQM6H9aQ2au20bVVI1o1zmTL7v0hj1H1H2Rtb+Yypjby8kTwiYjcCmSJyKnAq8AbsQ3LxFKgIZix7JgM9wTi/8SwYedeZq/axsm92zDz98dy+1l9Ag4ZDcbG3xtTPV6eCMYD1wALgetwOn+nxDIoE1uRdkxG2s4f7gkk0BMDwJKNu2iQkXbgGHe/UcD2krKwx4PQzVzJNmKqOuryuZnYCZkI3MJxBaraG3g6PiGZeKhu3ZyajDQKNTRSVQMmCTj0Yr63rDLgdoEEa+ZKthFT1VGXz83EVsimIVWtAJaKiBX4qSVmzC9ixKQP6RrnjtGalEA4b1A2D57fn+zmWQjO6KQHz+/P0K4tuerZOUF/53sxD/bUAM6yeb5CNXPV5VIOdfncTGx5aRpqARSIyDfAnqoPVXVUzKIyASXyji9UsbcRkz4M2xTh+wRSWan89+s1nPbYJ1QqjB6UzcyFG9hb/tMdv//FPNjxBXj8oiM9N4fU5VIOdfncTGx5SQR3xDwK40ki180N1s4vcODzUImpqu26qLiUzLR67K+o5NgerXhgdH86tWzI8T1bh7yYh+pnqE4zV10u5VCXz83EVqj1CBoAvwYOx+ko/peqlscrMHOo6tzxRbvTMFA7v3DoOOLSsgpuemUBN7783YHjAkyYln/gjn9/RSUZacL5g7Lp1NIpEhfuYh6tEgx1uZRDXT43E1uhngieA8qAz4AzgD44K4mZBPF6x+elCck3UTTLykAEikvKgiaNQCONgnXyVriz1auOm54mBzX7AJRVKH96dxmjB3c8JPZACSyaJRjqp9c78HfTomEGd53Tt050plqZChOpoCUmRGShqvZ3X6cD36jq4IAbx1Eql5jwv8CDc8f34Pn9D/qfPVwJiRnzixj36gLKKgP/uw+0z0CCHccrAVZNOuvAe6/nF6lY79+Y2izSEhMHBmxbk1DtEGz0jf9FLFwT0sS8gqBJAAKPNAk0WinY2gBe+T/JxHrUi42qMSawUE1DA0Vkp/tacGYW73Rfq6o2jXl05hBeOkbDNSEVl4aflOX7+0BNTeOmLqBRZjqlZRWkiVCheuCf/ppnZbCvvDJs23WsR73YqBpjAgu1VGWaqjZ1/zRR1XSf15YEarFolJAQODBHIdCddFmFHkgoFapk1BOO79Uq4Jj+iaP6enqSCTa6JVqjXmK9f2OSlZdaQybJhGtCatEw/JLTCgeaTLzcMZdVKh8u2UzrJvVp1Tgz6AVfgY079vKHl787ZEJcrGsgBdp/1fBXq1pqUpnXhWlMkgnVhHTXOX0ZN3UBZRWhi8hWJYBQI4T8fXrziTTwu9j6Ny35jyryjzdWo158919UXHrQ8Fcrx2BSmSWCFOR/wa0XpG2/qskk0Pj0YPyTQNVxgv3Wf0JcdWsgeeU/LLV5VsYhfSXxmpxnTG1jiSBFVV1wZ8wv4tbp+ZSUHZoITuzd+sBr37H3wfg2OfleeMMtXhHrztpAnd2JisWY2sgSQQr76QIZuKrnR0s2Bxx7H0g9cZqcDt5v+CcICNxZW5OZ0f6/LdlfXqNYjKnrLBGksFBNNuDcHd/9RoGni2izrIyDmpy8XngDdQbXpLhede7+vcRiTCqwRJBkollDKFwzSFZGPc8LwRT7bBduv1XzDbJ9ahH5VjANdAdfWlbB3W8UhD3X6iShFg0zaJiZbuUYTMqzRJBEol2GOtxooJIIF4IJtd+qMhdVqnMHv72kjBnzi0Keq9c2/qyMtDpTY8iYmrJ5BEkk0hIJwRazGTey1yETwCLh36QSqnnF/0JdnTv4qu1DCdbG3zwrI+yENmNSlT0RJJFISiSEe4qYu2Yb/529NuzIHl9ZGfVo2ah+0CaV8wZlMzGvIGApC/8LdXVH6YTbPlgp5omj7O7fmGAsEdQi4dr/I1l4JNhTxE2vLGDumm18tGQzivNoWNUQNKxrS9ZuLWHDzr2H7E+AB88fEPaiOnFUX0+18UMteBMoOYUb1WOlmI2pPksEtYSX9v9wC48ESiTB7qArVHlh9toD7ytxLr6/Pr4748/oHXAIqACXDs/xdFH1ekEOdk5jhmQzbV5RRIusxGpSmjF1VdD1CGqruroeQbg1BKoEe2oIVmu/QTVG/vgfL9qrnAUT6pzszt6Y6Ai1HoElglqi64S3AjaF+C/eEkywRBKoBHQoXo9njEkukS5MY+KoJiWSZ8wvCjrssri0rFqjcmxmrTGpJ6Z9BCJyOvAEkAZMUdVJft//EbgGKAc2A79S1TWxjKm2iqT937dJKBqqjnf7jIW8+PW6A4vNXDKsE/ed1z8qxzDG1D4xaxoSkTRgGXAqUAjMAS5R1cU+25wIfK2qJSJyPXCCql4Uar91pWko0IUdDu1cBbj7jYJD2vmr1tqtKqnsVdVonOzmWZzYuzUfLdlMUXHpgdm+DTPqBZxIdtnwHEsGxiSxhPQRiMjRwERVHem+vwVAVR8Msv0g4ElVHRFqv3UhEXhdRD1c8bbs5lmeqnv6Wx1mwfhgsq3D1piklag+gmxgnc/7QvezYK4GZgb6QkTGishcEZm7efPmKIaYGF5nCHspClfdNv00OXgucXVm9lYNabWVvIypW2pFZ7GIXAbkAo8E+l5VJ6tqrqrmtm7dOtAmScXrDOFws2irmo8OWX4xRN0I/wVoqjuz10tJC2NMcollZ3ER0MnnfUf3s4OIyCnAbcDxqrovhvHUGl5nCDcLsIpWlYx6clAzzcPvLGH9DmcmcMOMNDLTA88fyHaPUdVHEUnDYCIXb7G5BcZEXyyfCOYAPUSkq4hkAhcDeb4buP0C/wRGqeqmGMZSq3hdpD3Unb1vtbhurRvRNMtZHeycgR345OYTueucvkGPUdUvUJ1OZl/BFpIJVNgumnzjVqypyphoidkTgaqWi8gNwCyc4aPPqGqBiNwDzFXVPJymoMbAq+Jc9daq6qhYxeRVrO86vZZfKA4xI7isQnn4nSV8v2EnT3+2ktZN6vP0L3M5tU/bsMcYMenDkB3QJfvLQ85GjuZCMtURqm/FngqMiZzNLPbjdURPNI/ne7GuGtIZalF5fw0z0yjZX+F5VE+4WczBvgdnpvJ3d5120Gdey2PUVE1nXxuTymxmcTVEWvM/EoGaOl6YvfbA+3BJoJ5AZlo9SvYffCcerqkk3CzmUCORzh7Y/pDPIimPHYmazL42xgRnicBPLC5qwdrPvQ7drBegryC9ntCkfjr7Kw6e/OUlaYXrowj0fZWXv1l3SKKJ5AIdSZ+C174VY0z1WCLwE+27zlAdnF6TS6XCkM4tDrxv3bg+f7pwIDv3lgfcPtx+zxuUzYPn9w+6YlfV94E6q8sqlYl5BQd9dmLv1oesdBbqAh1pp2+4uI0xkbH1CPyEq/lTXaGamsKtGewrv7CY35/cg9+c2J366WkH9l3dhWqq+HcmVz1F+CaDP7z8XcDf+g5pnTG/iGnzig5quxdgzJDgawLUpNPX1howJvosEfiJ9gpXoZqaHr/oSM/lHd74v5/Ru13Tgz6rTtIK1Cntu/BLpCN9Al3UFfhoSfAZ4PHqUzDGeGOJIIBo3nWGmjzmn3SCjRLq0KzBIUmgKk7f3wdLWoGGdwZap9j/rrxFw4yAw0hbNMw48DqSi3okS24aY2LHEkGMhbtr9006Uz5byQNvf0+lzxU6KyONm0/vHXT/XpJWsLv2QHwv4Hed05dxUxdQVvHT1hlpwl3n9D3wPpKLerSb34wxNWOdxTHmpYOzolKZ8tlK/vTuUjLT69HcnSUcrc7Q6jS5+F7AzxuUzSMXDDwo9kcuGHhQPJGM5LFOX2NqF5tQFiWRzkZeunEXN0/LZ8G6Yk7u3Yb7RvejfbPoNpEEm/BVtTZBlUgnzln9H2Nqv1ATyqxpKAq8lljwvWC2b9aAAR2b88GSH2nSIIO/XDKIcwa0R0IWGIpMsKaYMUOyD8xirskF3EbyGJPcLBFEgZfhkP7JYv2OvazfsZEhOS14+opcWjbKPPDbaN9hR3sklDGmbrFEEAVeRs4Em0W8cefeQ5JALAq42V27MSYY6yyOAi+zkYNNHPNPIvGsdWSMMWCJICpCjZzZubeMW6bnB/2tfxKpyWSreKwJYIype6xpKAqCtcE3rp/OqY99wuZd+zixV2u+WrGVveU/FYkLNMwy0slW8VoTwBhT91giiBLfNvitu/cx8Y3FvLFgPb3bNWHy5bkM7NTcUydwpJOtbNEWY0ykLBFEkary+nfrufuNAnbvK+ePp/bk18d3JzPdaYHz0mEb6Qgfq99jjImUJYIoWV9cyu0zFvHhkk0c2ak5D18wgJ5tm0S0r0hG+Fj9HmNMpCwR1FBlpfK/b9YyaeYSKiqVO87uw5XHdCEt0GoyMWT1e4wxkbJEUAOrtuxhwrR8vl61jRGHH8aDoweQc1jDhMRik8aMMZGyRBCB8opK/vX5Kh57bxmZ6fV4aEx/fp7bKSblIarDJo0ZYyJhiaCavt+wk/HT8skv3MGpfdpy33n9aNu0QaLDMsaYiFki8GhfeQVPfbicv328guYNM3jqF4M5s3+7hD8FGGNMTVki8GDemu2Mn5bP8k27OX9QNnec3YcWPvWBjDEmmVkiCKFkfzmPzFrKs1+upn3TBvz7qqGc2KtNosMyxpioskQQxOc/bGHC9HwKt5dy+fDO3Hx6L5o0yAj/Q2OMSTKWCPzsKC3j/rcW88rcQrq2asTLY4czrNthiQ7LGGNixhKBj1kFG7ljxiK27tnP9Sd05/cn96CBX1VRY4ypaywRAJt37WNiXgFvLdzAEe2b8q8rhtK/Y7NEh2WMMXGR0olAVZn+bRH3vLmY0v0VjBvZi7HHdSMjzZZpMMakjpRNBEXFpdw6fSGfLNvM4BynSNzhbSIrEmeMMckspolARE4HngDSgCmqOsnv+/rA88AQYCtwkaqujmVMlZXKC1+v4aGZS1Bg4jl9uPzo+BeJM8aY2iJmiUBE0oCngFOBQmCOiOSp6mKfza4Gtqvq4SJyMfAQcFGsYlqxeTcTpuUzZ/V2ju3RigdG96dTy8QUiTPGmNoilk8ERwHLVXUlgIi8BJwL+CaCc4GJ7uupwJMiIqqq0Q7mlTnruP31RTRIr8cjFwzggiEdrTyEMcYQ20SQDazzeV8IDAu2jaqWi8gO4DBgi+9GIjIWGAuQk5MTUTBdWzfi5N5tuPvcvrRpYkXijDGmSlJ0FqvqZGAyQG5ubkRPC0O7tGRol5ZRjcsYY+qCWI6TLAI6+bzv6H4WcBsRSQea4XQaG2OMiZNYJoI5QA8R6SoimcDFQJ7fNnnAFe7rC4APY9E/YIwxJriYNQ25bf43ALNwho8+o6oFInIPMFdV84B/Af8RkeXANpxkYYwxJo5i2kegqm8Db/t9dqfP673AhbGMwRhjTGhWS8EYY1KcJQJjjElxlgiMMSbFWSIwxpgUJ8k2WlNENgNrIvx5K/xmLacAO+fUYOecGmpyzp1VtXWgL5IuEdSEiMxV1dxExxFPds6pwc45NcTqnK1pyBhjUpwlAmOMSXGplggmJzqABLBzTg12zqkhJuecUn0ExhhjDpVqTwTGGGP8WCIwxpgUVycTgYicLiJLRWS5iEwI8H19EXnZ/f5rEemSgDCjysM5/1FEFotIvoh8ICKdExFnNIU7Z5/txoiIikjSDzX0cs4i8nP333WBiPwv3jFGm4f/tnNE5CMRme/+931mIuKMFhF5RkQ2iciiIN+LiPzF/fvIF5HBNT6oqtapPzglr1cA3YBMYAHQx2+b3wD/cF9fDLyc6LjjcM4nAg3d19enwjm72zUBPgVmA7mJjjsO/557APOBFu77NomOOw7nPBm43n3dB1id6LhreM7HAYOBRUG+PxOYCQgwHPi6psesi08ERwHLVXWlqu4HXgLO9dvmXOA59/VU4GRJ7pXsw56zqn6kqiXu29k4K8YlMy//ngHuBR4C9sYzuBjxcs7XAk+p6nYAVd0U5xijzcs5K9DUfd0MWB/H+KJOVT/FWZ8lmHOB59UxG2guIu1rcsy6mAiygXU+7wvdzwJuo6rlwA7gsLhEFxteztnX1Th3FMks7Dm7j8ydVPWteAYWQ17+PfcEeorIFyIyW0ROj1t0seHlnCcCl4lIIc76J/8Xn9ASprr/v4eVFIvXm+gRkcuAXOD4RMcSSyJSD3gMuDLBocRbOk7z0Ak4T32fikh/VS1OZFAxdgnwrKo+KiJH46x62E9VKxMdWLKoi08ERUAnn/cd3c8CbiMi6TiPk1vjEl1seDlnROQU4DZglKrui1NssRLunJsA/YCPRWQ1TltqXpJ3GHv591wI5KlqmaquApbhJIZk5eWcrwZeAVDVr4AGOMXZ6ipP/79XR11MBHOAHiLSVUQycTqD8/y2yQOucF9fAHyobi9Mkgp7ziIyCPgnThJI9nZjCHPOqrpDVVupahdV7YLTLzJKVecmJtyo8PLf9gycpwFEpBVOU9HKOMYYbV7OeS1wMoCIHIGTCDbHNcr4ygN+6Y4eGg7sUNUNNdlhnWsaUtVyEbkBmIUz4uAZVS0QkXuAuaqaB/wL5/FxOU6nzMWJi7jmPJ7zI0Bj4FW3X3ytqo5KWNA15PGc6xSP5zwLOE1EFgMVwDhVTdqnXY/nfBPwtIjciNNxfGUy39iJyIs4ybyV2+9xF5ABoKr/wOkHORNYDpQAV9X4mEn892WMMSYK6mLTkDHGmGqwRGCMMSnOEoExxqQ4SwTGGJPiLBEYY0yKs0RgUoKIVIjIdyKySETeEJHmEe7nShF5MgrxRGU/xkSDJQKTKkpV9UhV7Yczd+S3iQ7ImNrCEoFJRV/hFukSke4i8o6IzBORz0Skt/v5Oe5aFfNF5H0RaRtsZyJST0RW+z5liMgPItLWy35E5FkRucDn/W6f1+NEZI5bd/7u6Jy+MQezRGBSioik4ZQjqJp5PBn4P1UdAvw/4G/u558Dw1V1EE7p45uD7dMtbvY6MNo9xjBgjar+WJ39BIj1NJw6QUcBRwJDROQ4r783xqs6V2LCmCCyROQ7nCeB74H3RKQxcAw/ld0AqO/+syPwslvnPRNYFWb/LwN3Av/GXewowv34Os39M9993xgnMXxajX0YE5Y9EZhUUaqqRwKdcVZ2+i3Of//Fbt9B1Z8j3O3/Cjypqv2B63AKmYXyFXC4iLQGzgOmV2M/5W4sVeWzM93PBXjQJ7bDVfVf1T1xY8KxRGBSirtK2+9wCpWVAKtE5EI4sBbsQHfTZvxU2veKQ3Z06H4VeA1nDYTvfQq9ednPamCI+3oUboExnEJrv3KfXBCRbBFpEy4WY6rLEoFJOao6H8jHWdDkUuBqEVkAFPDTMogTcZqM5gFbPO76ZeAyfmoW8rqfp4Hj3RiOBva4cb4L/A/4SkQW4iyr2sRjLMZ4ZtVHjTEmxdkTgTHGpDhLBMYYk+IsERhjTIqzRGCMMSnOEoExxqQ4SwTGGJPiLBEYY0yK+/+BsxvsbolEZgAAAABJRU5ErkJggg==\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Mean absolute error MDS2_total_model_m : 0.05325222294777632\n"
]
},
{
"data": {
"image/png": "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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Mean absolute error MDS2_total_model_u : 0.0676489770412445\n"
]
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAYIAAAEWCAYAAABrDZDcAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjMuMywgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/Il7ecAAAACXBIWXMAAAsTAAALEwEAmpwYAAA0YklEQVR4nO3deXwU9fnA8c+TECCc4VQIhPuQS8VwKPU+wAtFPOutFWtrD2sRVFQ8qqg/a22rVrxtrRcgRkHxQqkHCogkJIJyQwABgXAkIdfz+2MnuITdzWyys5vsPu/XKy93Z2dnnglxnpnv9zvPV1QVY4wxiSsp1gEYY4yJLUsExhiT4CwRGGNMgrNEYIwxCc4SgTHGJDhLBMYYk+AsERhjTIKzRGCMB0RERaRnDPd/lYh85nLdF0TkPq9jMnWXJQLjCRFZIyIlItK2yvLFzkmyq3MCKhGR3c7PUhF5QERa+q3fUEQeEZENIrLH2e7fnM8aicizIrLW+f63InK6i9hOEJENYRxLWOsbU99YIjBeWg1cUvlGRAYCTaqs85CqNgfaAVcDw4HPRaSp8/mtQCYwFGgOnAB843zWAFgPHA+0BCYBr4tIVw+OxZi4ZYnAeOnfwBV+768EXgq0oqoWq+oCYDTQBl9SABgCvKmqG9Vnjaq+5Hxnr6pOdpZVqOo7+JLPUcECchLMu0BH5w5jj4h0dO4u/iYiG52fvznLgq0/VES+FJGdIrJJRP4pIg3D+eU4d0RPiMi7znY/F5FDnX3vEJFlInKk3/qHicgnzj5zRWS032dtRCRLRHaJyNdAjyr76isiH4jIdhFZLiIXhhnrQU1NsW7+MpFjicB4aT7QwjmBJQMXA/8J9QVV3Q18ABzrt40/ichvRGSgiEiw74rIIUBvIDfE9vcCpwMbVbWZ87MRuB3f3cgRwOH47kAmhVi/HLgJaAscDZwM/Cb0ryOgC/HdybQF9gFf4rvjaQtMA/7qHFsK8DbwPtAe+B3wsoj0cbbzOFAMdACucX4qfy9N8f1O/+t892LgCRHpV4N4TRyyRGC8VnlXcCrwHZDv4jsbgdbO6weAB4FLgYVAvohcWfULzonyZeBFVV1WgzgvBe5R1S2quhW4G7g82MqqukhV56tqmaquAZ7C10QVrjedbRUDbwLFqvqSqpYDrwGVdwTDgWbAFFUtUdWPgXeAS5wkOxa407lLWgq86LePs4A1qvq8E+9iYDpwQQ3iNXGoQawDMHHv38A8oBtBmoUCSAe2AzgnxMeBx0UkFd+V7nMi8rWqfgcgIknOfkqAG2sYZ0dgrd/7tc6ygESkN76r9Ux8/R4NgEU12O+Pfq+LArxv5hffelWtqBJjOr7+lcr+Ev/PKnUBhonITr9lDfD9zoyxOwLjLVVdi6/d/gxgRnXri0gz4BTgfwG2VaSqjwM7gH7O+gI8CxwCjFXVUjdhBVi2Ed8Js1KGsyzY+k8Cy4BeqtoCuA0I2mwVARuBzk7S848xH9gKlAGdq3xWaT3wqaqm+f00U9Ubwtj/Xvw6+kXk0LCPwNRZlghMNFwLnOS0twfkdMweBczEd6J/3ln+R2f4ZqqINHCahZoDi52vPgkcBpytqkUu4/kRaOM/TBV4BZgkIu2cIa938nN/RqD1mwO7gD0i0hcI56RaE18BhcAtIpIiIicAZwOvOndNM4DJItLEafv3bz57B+gtIpc7300RkSEiclgY+18C9BeRI0SkMTA5Asdk6ghLBMZzqrpSVRcG+fgWEdkN/ISv6WgRcIxf0igEHgE2A9uA3+K78l8lIl2A6/F18G72G9VzaTXxLMN34l/ljMDpCNyHrw8iG8jB12F7X4j1/wz8EtgNPI2vPd8zqlqC78R/Or7fwxPAFX79ITfia0baDLyAk0id7+4GTsPXSbzRWedBoFEY+/8euAf4EPgBcPWwmqkfxGYoM8aYxGZ3BMYYk+AsEZi4JCK3+TUV+f+8G+U4coPEEbL5Khbqyu/MRJ81DRljTIKrd88RtG3bVrt27RrrMIwxpl5ZtGjRNlVtF+izepcIunbtysKFwQagGGOMCURE1gb7zPoIjDEmwVkiMMaYBGeJwBhjEpwlAmOMSXCWCIwxJsF5lghE5DkR2SIiS4N8LiLydxFZISLZIjLYq1iMMcYE5+UdwQvAqBCfnw70cn7G4asiaYwxJso8SwSqOg9ncpEgzgFecuahnQ+kiUgHr+Ixxpj6qqiknAfe/Y4NOwo92X4s+wjSOXBGpQ3OsoOIyDgRWSgiC7du3RqV4Iwxpi74YuU2Rv5tHk99uoq5y705/9WLJ4tVdSowFSAzM9OKIxlj4t6u4lIemP0dr3y9nq5tmvDquOEM797Gk33FMhHkc+DUep1wN7G5McbEtQ/yfmTSzBy27t7H9cd356ZTetM4Jdmz/cUyEWQBN4rIq8AwoEBVN8UwHmOMialte/YxOSuXd7I30ffQ5jx9RSaDOqV5vl/PEoGIvAKcALQVkQ3AXUAKgKr+C5iNb0LzFfimI7zaq1iMMaYuU1Xe+nYjd7+dy9595dx8am+uP74HDRtEpxvXs0SgqpdU87nim3/WGGMS1sadRUyauZSPl23hyIw0Hho7iF6HNI9qDPWis9gYY+JNRYXy36/XMeXdZZRXKHee1Y8rj+lKcpJEPRZLBMYYE2Wrt+1lwvRsvl69nV/0bMsD5w2kc+smMYvHEoExxkRJWXkFz3y2mkc/+J6GDZJ4aOwgLsjshEj07wL8WSIwxpgoyNu4iwnTs8nJL+C0fodw77kDOKRF41iHBVgiMMYYT+0rK+efH6/gyU9WktYkhcd/OZgzBh4a87sAf5YIjDHGI4vW7mDC9GxWbNnDeYPTuePMfrRq2jDWYR3EEoExxkRYYUkZD89ZzgtfrKFjy1ReuHoIJ/RpH+uwgrJEYIwxEfTZD9uYOCObDTuKuOLoLtwyqi/NGtXtU23djs4YY+qJgsJS/jI7j9cXbqB726a8fv3RDO3WOtZhuWKJwBhjaum9pZu5462lbN9bwg0n9OAPJ/fytEhcpFkiMMaYGtq621ckblbOJvp1aMHzVw1hQHrLWIcVNksExhgTJlVlxjf53PNOHkUl5Ywf2Ydxx3UnJTmWc33VnCUCY4wJQ/7OIm6bkcOn32/lqC6teHDsIHq2bxbrsGrFEoExxrhQUaH856u1PPjuMhS4e3R/Lh/ehaQYFImLNEsExhhTjZVb9zBxejYL1uzg2F5tuX9MbIvERZolAmOMCaK0vIKn/7eKv334A6kpyfzfBYczdnB6nSoPEQmWCIwxJoCl+QVMmJ5N7sZdnD7gUO4+pz/tm9eNInGRZonAGGP8FJeW84+Pf+Bfn66iVZOGPHnpYE4f2CHWYXnKEoExxjgWrtnOLdOzWbV1Lxcc1YnbzzyMtCZ1r0hcpFkiMMYkvD37ynj4vWW8NH8tHVum8tI1Qzmud7tYhxU1lgiMMQnt0++3ctuMHDYWFHHl0V0ZP7IPTet4kbhIS6yjNcYYx87CEu595zumf7OBHu2a8sb1R5PZtX4UiYs0SwTGmITzbs4m7ngrlx2FJdx4Yk9uPKlnvSoSF2mWCIwxCWPLrmLufCuX93I3MyC9BS9eM4T+HetfkbhIs0RgjIl7qsq0RRu49508issqmDCqL9cd240G9bRIXKRZIjDGxLX12wu57c0c/vfDNoZ2bc2UsQPp3q5+F4mLNEsExpi4VF6hvPTlGh6esxwB7j2nP5cOi48icZFmicAYE3dWbNnNhOk5LFq7g+N7t+P+8waSnpYa67DqLEsExpi4UVpewVOfruTvH62gSaNk/nrh4Yw5Mv6KxEWaJQJjTFzI2VDALdOz+W7TLs4c1IHJZ/enXfNGsQ6rXrBEYIyp14pLy/nbhz/w9P9W0aZpQ566/ChG9j801mHVK54mAhEZBTwGJAPPqOqUKp9nAC8Cac46E1V1tpcxGWPix1erfmLijBxWb9vLRZmdue3Mw2iZmhLrsOodzxKBiCQDjwOnAhuABSKSpap5fqtNAl5X1SdFpB8wG+jqVUzGmPiwu7iUh95bzr/nr6Vz61Re/tUwRvRsG+uw6i0v7wiGAitUdRWAiLwKnAP4JwIFWjivWwIbPYzHGBMH5i7fwu0zcti0q5hrRnTjzyN706ShtXLXhpe/vXRgvd/7DcCwKutMBt4Xkd8BTYFTAm1IRMYB4wAyMjIiHqgxpu7bsbeEe9/JY8bifHq1b8b0G45hcEarWIcVF2KdRi8BXlDVR0TkaODfIjJAVSv8V1LVqcBUgMzMTI1BnMaYGFFVZuVs4q63cikoKuX3J/fityf2oFGDxC0SF2leJoJ8oLPf+07OMn/XAqMAVPVLEWkMtAW2eBiXMaae+HFXMZNmLuWDvB8Z1Kkl//nVMA7r0KL6L5qweJkIFgC9RKQbvgRwMfDLKuusA04GXhCRw4DGwFYPYzLG1AOqyusL13PfrO8oKavgtjP6cs0IKxLnFc8SgaqWiciNwBx8Q0OfU9VcEbkHWKiqWcDNwNMichO+juOrVNWafoxJYOt+KmTijGy+WPkTw7q15sGxg+jatmmsw4prnvYROM8EzK6y7E6/13nACC9jMMbUD+UVygtfrOH/5iwnOUn4y5gBXDIkw4rERUGsO4uNMYbvf9zNLdOy+Xb9Tk7q256/jBlAh5ZWJC5aLBEYY2KmpKyCJz9ZyT/n/kCzRg147OIjGH14RysSF2WWCIwxMbFk/U4mTM9m2ebdjD68I3ed3Y82zaxIXCxYIjDGRFVRSTmPfvg9z/xvFe2bN+aZKzI5pd8hsQ4roVkiMMZEzZcrf+LWGdms+amQS4ZmcOsZfWnR2IrExZolAmOM53YVlzLl3WX896t1dGnThP9eN4xjeliRuLrCEoExxlMfffcjt7+5lC27i7nu2G786dQ+pDa08hB1iSUCY4wnftqzj7vfziNryUb6HNKcf11+FEd0Tot1WCYASwTGmIhSVbKWbOTut/PYXVzKTaf05oYTetCwgZWHqKssERhjImZTQRGT3lzKR8u2cHjnNB4aO4g+hzaPdVimGpYIjDG1VlGhvLpgPQ/M/o7SigomnXkYV4/oRrKVh6gXLBEYY2plzba9TJyRzfxV2zm6exumjB1IlzZWJK4+sURgjKmRsvIKnv98DY98sJyUpCSmnDeQi4Z0tvIQ9ZAlAmNM2JZt3sWEadks2VDAKYcdwn3nDuDQlo1jHZapIUsExhjX9pWV8/jclTwxdwUtU1P4xyVHctagDnYXUM9ZIjDGuLJ43Q4mTM/m+x/3MObIdO44qx+tmzaMdVgmAiwRGGNCKiwp45H3v+e5z1dzaIvGPHdVJif1tSJx8aTaRCAivYEngUNUdYCIDAJGq+p9nkdnjImpL1ZsY+KMHNZtL+Sy4RlMGNWX5lYkLu64edTvaeBWoBRAVbPxTURvjIlTBUWlTJyezS+f+YrkJOHVccO579yBlgTilJumoSaq+nWVzqAyj+IxxsTY+7mbmTRzKdv27OP647tz0ym9aZxiReLimZtEsE1EegAKICLnA5s8jcoYE3Xb9uxjclYu72Rvou+hzXnmykwGdUqLdVgmCtwkgt8CU4G+IpIPrAYu8zQqY0zUqCozv83n7rfzKNxXzs2n9ubXJ/QgJdmKxCWKahOBqq4CThGRpkCSqu72PixjTDRs3FnE7W/mMHf5Vo7M8BWJ63WIFYlLNG5GDd1Z5T0AqnqPRzEZYzxWUaG8/PU6Hnx3GeUVyp1n9ePKY7pakbgE5aZpaK/f68bAWcB33oRjjPHaqq17mDg9h6/XbOcXPdvywHkD6dy6SazDMjHkpmnoEf/3IvJ/wBzPIjLGeKKsvIJnPlvNox98T6MGSTx0/iAuOKqTlYcwNXqyuAnQKdKBGGO8k7dxF7dMX8LS/F2M7H8I954zgPYtrEic8XHTR5CDM3QUSAbaAdY/YEw9sK+snH9+vIInP1lJWpMUnrh0MKcPONTuAswB3NwRnOX3ugz4UVXtgTJj6rhFa7czYXoOK7bs4bzB6dxxZj9aWZE4E0DQRCAirZ2XVYeLthARVHW7d2EZY2pq774yHp6znBe/XEPHlqm8cPUQTujTPtZhmTos1B3BInxNQoHuIRXoXt3GRWQU8Bi+JqVnVHVKgHUuBCY721yiqr+sPmxjTCD/+2Ert87IYcOOIq48ugvjR/WlWSMrMmxCC/oXoqrdarNhEUkGHgdOBTYAC0QkS1Xz/Nbpha+g3QhV3SEidtliTA0UFJZy36w83li0ge7tmvLGr49mSNfW1X/RGFyOGhKRVkAvfM8RAKCq86r52lBghfNkMiLyKnAOkOe3znXA46q6w9nmFvehG2MA3lu6mTveWsr2vSX85oQe/P7kXlYkzoTFzaihXwF/wDdk9FtgOPAlcFI1X00H1vu93wAMq7JOb2cfn+NrPpqsqu8FiGEcMA4gIyOjupCNSQhbdhczOSuX2Tmb6dehBc9fNYQB6S1jHZaph9zcEfwBGALMV9UTRaQvcH8E998LOAFfopknIgNVdaf/Sqo6FV/hOzIzMxVjEpiqMv2bfO59J4+i0nLGj+zDuOO6W5E4U2NuEkGxqhaLCCLSSFWXiUgfF9/LBzr7ve/kLPO3AfhKVUuB1SLyPb7EsMBN8MYkmg07CrntzaXM+34rmV1aMWXsIHq2bxbrsEw95yYRbBCRNGAm8IGI7ADWuvjeAqCXiHTDlwAuBqqOCJoJXAI8LyJt8TUVrXIVuTEJpKJC+ff8tTz43jIA7h7dn8uHdyHJisSZCHBTa2iM83KyiMwFWgIHteMH+F6ZiNyIry5RMvCcquaKyD3AQlXNcj47TUTygHJgvKr+VMNjMSYurdy6hwnTslm4dgfH9W7H/WMG0KmVFYkzkSOqoZvcReTvwKuq+kV0QgotMzNTFy5cGOswjPFcaXkFU+et4rGPfiA1JZk7zurH2MHpVh7C1IiILFLVzECfuWkaWgRMcvoF3sSXFOxMbIyHluYXcMu0bPI27eKMgYcyeXR/2je3InHGG26ahl4EXnRKTowFHhSRDFXt5Xl0xiSY4tJyHvvoB6bOW0WrJg3512WDGTWgQ6zDMnEunGfPewJ9gS7YxDTGRNyCNduZMC2bVdv2csFRnZh0Zj9aNkmJdVgmAbh5oOwhYAywEngVuLfqOH9jTM3t2VfGQ+8t46Uv19KpVSr/vnYox/ZqF+uwTAJxc0ewEjhaVbd5HYwxiebT77dy24wcNhYUcdUxXRk/sg9NrUiciTI3fQRPRSMQYxLJzsIS7nknjxnf5NOjXVOm/fpojupiReJMbNilhzFRpKq8u3Qzd761lJ2Fpdx4Yk9uPKmnFYkzMWWJwJgo2bKrmDveWsqc3B8ZkN6CF68ZSv+OViQulmYuzufhOcvZuLOIjmmpjB/Zh3OPTI91WFHnZoaygGyGMmPcUVXeWLSB+97JY19ZBRNP78uvftGNBlYkLqZmLs7n1hk5FJWWA5C/s4hbZ+QAJFwycDtDWQaww3mdBqwDajVxjTGJYP32Qm6dkcNnK7YxtGtrpowdSPd2ViSuLnh4zvL9SaBSUWk5D89ZbomgUuUMZSLyNPCmqs523p8OnBuV6Iypp8orlJe+XMND7y0nSeDecwdw6dAMKxJXh2zcWRTW8njmpo9guKpeV/lGVd91ni0wxgSwYstubpmWzTfrdnJCn3b8ZcxA0tNSYx2WqaJjWir5AU76HRPw38pNI+VGEZkkIl2dn9uBjV4HZkx9U1pewT8++oEzHvuMVdv28uhFh/P8VUMsCdRR40f2IbXKaK3UlGTGj3Qz3Up8cXNHcAlwF76CcwrMc5YZYxw5GwoYP20Jyzbv5qxBHZg8uj9tmzWKaUw2Iia0yt+F/Y5clKHev6JIU1Xd63E81bIy1KYuKS4t59EPv+fpeato26wR9507gNP6HxrrsA4aEQO+q90HzhuYkCc6E7oMdbVNQyJyjDNxzHfO+8NF5IkIx2hMvfPVqp84/bH/8dSnq7gwszMf/On4OpEEIPSIGGOqctM09CgwEsgCUNUlInKcp1EZU4ftLi7lwfeW8Z/56+jcOpWXfzWMET3bxjqsA9iIGBMOV08Wq+r6KrMilQdb15h4NnfZFm57M4fNu4q59hfduPm03jRpWPce0LcRMSYcbkYNrReRYwAVkRQR+TM2H4FJMNv3lvDHVxdz9QsLaNaoAdNvOIY7zupXJ5MA2IgYEx43f8W/Bh4D0oF84H3gN14GZUxdoaq8k72JyVm5FBSV8vuTe/HbE3vQqEHdLhJnI2JMONwkgj6qeqn/AhEZAXzuTUjG1A0/7irm9jeX8uF3PzKoU0tevm4YfQ9tEeuwXDv3yHQ78RtX3CSCfwCDXSwzJi6oKq8tWM9fZn9HSVkFt59xGFeP6GpF4kzcClV99GjgGKCdiPzJ76MWQN2+Lzamhtb9VMjEGdl8sfInhnVrzYNjB9G1bdNYh2WMp0LdETQEmjnrNPdbvgs438ugjIm28grl+c9X83/vL6dBUhL3jxnIxUM6W5E4kxBCVR/9FPhURF5Q1bVRjMmYqFq+eTe3TM9myfqdnNS3PX8ZM4AOLW2YpUkcbvoInhGRC1R1J4CItAJeVdWRnkZmjMdKyip44pMVPD53Bc0bp/DYxUcw+vCOVHlmxpi45yYRtK1MAgCqukNE2nsXkjHeW7J+J7dMy2b5j7s554iO3HlWP9rEuEicMbHiJhFUiEiGqq4DEJEu+KqQGlPvFJWU89cPlvPsZ6tp37wxz1yRySn9Dol1WPWWVTiND24Swe3AZyLyKb6pKo8FxnkalTEe+GLlNm6dkcPanwr55bAMJp7elxaNU2IdVr1lc/7Gj2oTgaq+JyKDgeHOoj+q6jZvwzImcnYVl/LA7GW88vU6urRpwn+vG8YxPepWkbj6yOb8jR+hniPoq6rLnCQAP89KluE0FX3jfXjG1M6HeT9y+8wctu7ex7jjunPTKb1JbWiPwUSCVTiNH6HuCG4GrgMeCfCZAidVt3ERGYWvTlEy8IyqTgmy3lhgGjBEVW3WGVNrP+3Zx91v55G1ZCN9D23O1MszObxzWqzDiitW4TR+hHqO4DrnvyfWZMMikgw8DpwKbAAWiEiWquZVWa858Afgq5rsxxh/qkrWko1Mzsplz74ybjqlNzec0IOGDaw8RKSNH9kn4CxoVuG0/gnVNHReqC+q6oxqtj0UWKGqq5ztvQqcA+RVWe9e4EFgfLXRGhPCpoIiJr25lI+WbeGIzmk8dP4geh/SvPovmhqxCqfxI1TT0NnOf9vjqzn0sfP+ROALoLpEkA6s93u/ARjmv4LT/9BZVWeJSNBEICLjcEYqZWRkVLNbk2gqKpRXFqzjgdnLKKuoYNKZh3H1iG4kW3kIz1mF0/gQqmnoagAReR/op6qbnPcdgBdqu2MRSQL+ClxV3bqqOhWYCr7J62u7bxM/Vm/by8Tp2Xy1ejvH9GjDlPMGkdGmSVjbCDQWHuxK1yQON88RdK5MAo4fATeX5flAZ7/3nZxllZoDA4BPnEf6DwWyRGS0dRib6pSVV/Dc56t55P3vadggiQfHDuTCzM5hl4cINBZ+/BtLQKC0XPcvs/HxJp65SQQficgc4BXn/UXAhy6+twDoJSLd8CWAi4FfVn6oqgXA/sHcIvIJ8GdLAqY6323axYTp2WRvKODUfodw37kDOKRF4xptK9BY+NKKg286bXy8iWduHii7UUTGAMc5i6aq6psuvlcmIjcCc/ANH31OVXNF5B5goapm1SZwk3j2lZXz+NyVPDF3BS1TU/jnL4/kzIEdalUkLpwx7zY+3sQrtzNvfwPsVtUPRaSJiDRX1d3VfUlVZwOzqyy7M8i6J7iMxSSgb9btYMK0bH7YsocxR6Zz51n9aNW0Ya23G2wsfLB1jYlH1Q6uFpHr8D3s9ZSzKB2Y6WFMxuxXWFLGPW/nMfbJL9izr4znrxrCoxcdEZEkAL6x8KkpBz5pnJIkpCQfeJdh4+NNPHNzR/BbfM8EfAWgqj9YGWoTDZ+v2MbEGdms317EZcMzmDCqL80jXCQu2Fj4QMusf8DEKzeJYJ+qllS2w4pIA6wMtfFQQVEp98/6jtcWrqdb26a8Nm44w7q38Wx/wcbC24nfJAo3ieBTEbkNSBWRU4HfAG97G5ZJVO/nbmbSzKX8tLeEXx/fgz+e0ovGKVYkzhgvuUkEE4BfATnA9fg6f5/xMiiTeLbu3sfkt3OZlb2Jwzq04NkrhzCwU8tYh+Upm9TF1BUhE4FTOC5XVfsCT0cnJBMP/E9yLVNTEIGdhaUHnfBUlTcX53PPO3kU7ivnz6f15vrje5CS7E2RuLpy8rVJXUxdEjIRqGq5iCz3n6rSmOpUPcntLCrd/5n/CW9It9bc/mYOnyzfyuAMX5G4nu29KxLn9uQbjWRhk7qYusRN01ArIFdEvgb2Vi5U1dGeRWXqtUAnOX9FpeXclZVLWXkFFQp3nd2PK47u6nmRODcn32hdqdukLqYucZMI7vA8ChNX3JzMCopKObZXW+4fM5DOrcMrEldTbk6+0bpSt0ldTF0Saj6CxsCvgZ74OoqfVdWyaAVm6i83T+umpabw0jVDa1UeIpBQzTpuTr7RulK3SV1MXRKqR+5FIBNfEjidwFNWmjps5uJ8Rkz5mG4TZzFiysfMXJxf/ZciINDTulXtLCrlFw/OjWhMlc06+TuLUHzNOje99i2TZuYEjavqyTfYFXmkr9TPPTKdB84bSHpaKgKkp6XywHkDrX/AxESopqF+qjoQQESeBb6OTkgmEmI5KqVy+w+9t4yNBcUACL6nECv/60VMgZp1FHh5/joyu7R2NaNWNK/UbVIXU1eESgT7h3o4lUSjEI6JlFiPSuncOpXUhr6r77GDO3HHWYdx5t8/O6hppqi0nJtfXwLUPhkEa75R2H/c1Z18bfpFk4hCJYLDRWSX81rwPVm8y3mtqtrC8+hMjcVqVMrefWU8PGc5L365ho4tU3nxmqEc37tdyH2Xq/omgyG8ZFC1PyCtSQo7CksDrhvOcduVukk0oaaqtOf667FYjEqZ9/1Wbp2Rw8aCIq4Y3oXxo/rSrNHPf2KhOpFLK5TJWbmuT8CBmr5SQgw/jfRx15UH04yJBG8e3zQx56ZjNFIKCkv58xtLuOK5r2mUksTr1x/N3ecM2J8EKjut83cWEaqB0f/Bs+oEm1ksNSXpoH1E+rgDdUrfOiMnap3xxkSa24lpTD0Trbbu95Zu4o63ctm+t4TfnNCD3598YJG4qlfubsvWVnfFHaypp7i0gkcvOsLT4451/4sxkWaJII552da9ZXcxd72Vy7tLN9OvQwuev2oIA9IPLhJX3VPGgbgZ8RSq6cvrNn57KtjEG2saMmFRVd5YuJ5T/zqPj5ZtYfzIPrx144iASQDCOzmmpfomnQl1xV0pmk1fVUXrWQNjosUSgXFt/fZCrnjua8ZPy6ZX+2bM/v2x/PbEniErhbo9OaYkCZNH9wfcXXHH8oGsWCYhY7xgTUOmWhUVyktfruGhOcsR4J5z+nPZsC4kuSgSN35kH2567duAfQPJIlSo1qgUBMRumKc9a2DijSUCE9KKLXuYOD2bhWt3cFzvdtw/ZgCdWoUuEle1ozdYB3GFKqunnHnQcjdP98Z6+KY9a2DiiSUCE1BpeQVT563isQ9/ILVhMo9ccDjnDU6vtkhcoI5e/7IS/oI1G1V3xW2TuhgTWZYIzEGW5hdwy7Rs8jbt4oyBh3L36AG0a97I1XeD1fupmgyqa1MPdcVtwzeNiSxLBGa/4tJyHvvoB6bOW0Xrpg3512WDGTWgQ1jbCFXvJz0ttdqmHDdNPjZ805jIskQQx8JpR1+wZjsTpmWzatteLszsxO1n9KNlk5Sw9xmsozc9LZXPJ55UbbxumnxsUhdjIsuGj8Ypt2UQ9uwr4863lnLBv76kpLyC/1w7jIfOP7xGSQBqN7TSzfMDwfYhwIl929UoZmMSnd0RxBH/O4AkEcr1wC7aqu3oc5dv4fYZOWzaVczVI7ry59P60LRR7f4kajO00m2Tz7lHprNw7XZenr9uf7+DAtMX5R8w74Axxh1LBHGiarNK1SRQaePOInbsLeHed/KYsTifnu2bMe3Xx3BUl1YRi6WmQyvDafKZu2zrQSORrMPYmJqxRFDHuW3nd1vTp1WThpz66KfsLCzldyf15MaTetKoQd2oOB7O7GDWYWxM5HjaRyAio0RkuYisEJGJAT7/k4jkiUi2iHwkIl28jKe+CafcsZsTYJLA9sISOrRMJevGX3DzaX3qTBKA8MpGWL0fYyLHszsCEUkGHgdOBTYAC0QkS1Xz/FZbDGSqaqGI3AA8BFzkVUz1TbDO00BTO4aa9KVShUKLxg246piu9OtYNyeYc9usFM25hY2Jd17eEQwFVqjqKlUtAV4FzvFfQVXnqmqh83Y+0MnDeOqdUFM7+t8ZzFycz959Za62uau4jEkzl9b7SVRiWXTOmHjjZR9BOrDe7/0GYFiI9a8F3g30gYiMA8YBZGRkRCo+T0SyBk6oq3z/YZVVr4yrE6hTNdy4Y13rB6zejzGRUieeIxCRy4BM4OFAn6vqVFXNVNXMdu3q7ljxSE9hGGi8vL+NO4tqNPFL5XcrhRu3TdVoTHzxMhHkA5393ndylh1ARE4BbgdGq+o+D+PxnNsHooKpnNu328RZjJjyMQAPnDeQ5CCF3jo6JRtCCVYiLklk/37ufjs3rLhre5zGmLrFy0SwAOglIt1EpCFwMZDlv4KIHAk8hS8JbPEwlqiozZDGYFfZAI9ceHjQp3WrGyXTsEESKQHmDShX3b+fHYWBJ40P93hs6KYx9ZNnfQSqWiYiNwJzgGTgOVXNFZF7gIWqmoWvKagZ8IZT3nidqo72KiavuXkgatLMHF75aj3lqiSLcMmwztx37sCQV9mVNXr82+RP7NuOh95bxsaC4pAx7SurACA1JYni0oqATxyHOp6aHqcxpv7w9IEyVZ0NzK6y7E6/16d4uf9oGz+yD+OnLaG0/OcTbUqy7B/SOGlmDv+Zv27/Z+Wq+99Xd5Xt3zE6c3E+t0zLpqS8wnVsxaUVPHrREdz02reuvxOsdk8kh26G0+lcFzqojYlHdaKzOK5Uvdj2e//KV+sJ5JWv1rt+QGp3cSm3v5kTVhKoDOPhOcvDumqfu2wrELzvorZDN8PpdLYOamO8Y4kggh6es5zSigMzQWmF7u9EDdYkU67qqmrnx8t+5LRH57G3JPxRQuC7u6huJFLV9UP1XXw+8SRWTzmTzyeeVKMr83A6na2D2hjvWCKIoOqad4KN/kkWCfmA1Pa9Jfzx1cVc88JCmjVqQLtmgWcLa5KSRKiZJDumpQbcT6sgJac7pqUGPQH/8bVvGTHl41pdkYfT6Wwd1MZ4x4rORVB1naiXDOt8QB9BpUuG+UbZVn1ASlXJWrKRyVm57C4u5Q8n9+I3J/bg3nfyAm6nsDR4c5H/3UXV/VStXOq/fqg+hdrOFRxOp7N1UBvjHbsjiJBgZR78T8D3nTuQy4Zn7L8zSBLfaJ6X56876Op6c0Ex1720iN+/spjOrVJ5+3e/4KZTe9OoQfL+tnu30lJTaJySxE1BruL97xLAd4dS2eySVs0ENbVpngnVHFa1X+LEvu1qPOGNMSY0UZdDCeuKzMxMXbhwYazDOECgK2qAVk1SuOvs/kHn5g10FX7/mAEUl1Vw/6zvKK2o4OZT+3DNL7qR7PcsQLeJsw7qkw4lNSX5oP34d+5WjsbJ31l00CTzKUkCwgEjoaoSYPWUM8OI6GeBRgLBwWUzUlOSGXtUOnOXbbVRQ8bUgIgsUtXMQJ9Z01AItZ0LQDV4k0mwtvcJM3IoKaugYYMkSsoqeOGLNbRr3uiAk3Y4zwJUXt1X3U9lraGqCanqVksrlLTUFJo2ahC07lFtmmcC1QsaMeXjgDHPXba12nmPjTHhs0RQRbCr41Dt4cFOkDuLSuk6cRaNGiTtf7ArLTWFyaP7B+3kLCmrICVZKHHWz99ZxE2vfcsfX/uWVk1S2FNc5joJQPCRSvk7i+g6cZarbRQUlfLtXaeF7EuIJOsYNia6rI/Aj/9QSTj46rhyLoCqbezBRgNVqkwC4EsOf3rt26Bt70kc3AxT+W5HYelBw1MheD2hET1a72/3r43KK/5olX62SWeMia6EuCOI5HSPlXMBwM93BuFcoQNUQND6PuE9Jvazy4ZnBCxdEaz/wq2qV/zRKP1sk84YE11xnwiqnghDNfG4bXqoWs8/OYw2+2CqdtKGo2NaKvedO5D7zh0I/Jz4uk2cRce01AM6Wd3sozKW9BjOMwBYOQljoiTuE0GoJ1KrnljcTPdYyT9p1DYJJIlvGsma8q8JFCjx/Wf+Olo1SeHS4Rm8PH9dyGSQLMIjFx4e85OuTTpjTPTEfR9BOB2P4ZRfaJn6cxt/sCdz3apNEgAOeK4gWPPWjsLSapNAakpynUgCxpjoivtEEE7HY6DO0KYNAycG//7hfTVsf48U/6QWqnkrVBKwOX+NSVxx3zQUbsdj1SaJbkGGWO706+wNVdqhkv8Q0qpSU5KAg8f7u+Wf1MJp3qqUnpZq4/ONSWBxf0dQeZWf5teU0zgl9GH7lzcINjK0utILVVWoctnwjINmC0tJEh44b9ABJR7CUTWpVde8VfVwbDSOMSbu7wgq+V+N7ygsZfy0JUzOyqWgqPSAUSkHPWkbpD3Ff3laago7iwIPB61UWq7Myt7EwxccHnQ0TKCSD8EIBBxNU/l6clbuQTFZmQZjTCAJUWtoxJSPq20uqay/U90JuJJ/fZ2Zi/P5o8uZv9aEUZMnWNxum3JsRi9jTKWErzXk5vmAyiGlbp8lSBKh28RZdGjZmBE925KSLCELs9VEbR+ssiGYxhg34r6PANyXJqi8cnajXBUFNhYU88aiDXRr25RJZx4Wsp3fv5/CjWiVdDDGJLaEuCMIdGUdSGXzSdV1U5KFpg0bUFBUGrTy557iMn51bHd+dWx3Zi7OZ/wbSw6oC5SSJEwe3T/s2O2q3hjjtYRIBFVLFqQ5VTz9T9SVTS7VlTcIVrFzU0Fx0P1Z+7wxpi5LiM7iQMLtSN1XVs7jH6/g7x+vCPi5jcU3xtRlCd9ZHEg4TS6L1u5gwvRsVmzZQ2aXVizNL6DYbziqjcU3xtRnCZsI3CgsKePhOct54Ys1dGjRmOevHsKJfdrbsExjTFyxRBDEZz9sY+KMbDbsKOLy4V24ZVQfmjf2jfqxDlxjTDyxRFBFQVEpf5mVx+sLfUNCXxs3nGHd28Q6LGOM8YwlAj9zcjdzx8yl/LS3hBtO6MEfTu5FY5dlqY0xpr6yRABs3b2PyVm5zMrZxGEdWvDslUMY2KllrMMyxpioSOhEoKrM+Cafe97Jo6iknPEj+zDuuO6kJCfEA9fGGAMkcCLI31nEbTNy+PT7rQzOSOOh8wfRs33zWIdljDFR52kiEJFRwGNAMvCMqk6p8nkj4CXgKOAn4CJVXeNlTBUVyn++WsuD7y5Dgcln9+Pyo7uSnBRk4gFjjIlzniUCEUkGHgdOBTYAC0QkS1Xz/Fa7Ftihqj1F5GLgQeAir2JauXUPE6dns2DNDo7t1Zb7xwykc+smXu3OGGPqBS/vCIYCK1R1FYCIvAqcA/gngnOAyc7racA/RUTUg7oXry9Yz6S3ltK4QRIPnz+I84/qhASbfswYYxKIl4kgHVjv934DMCzYOqpaJiIFQBtgm/9KIjIOGAeQkZFRo2C6tWvKyX3bc/c5/WnfvHGNtmGMMfGoXnQWq+pUYCr4is7VZBtDurZmSNfWEY3LGGPigZfjJPOBzn7vOznLAq4jIg2Alvg6jY0xxkSJl4lgAdBLRLqJSEPgYiCryjpZwJXO6/OBj73oHzDGGBOcZ01DTpv/jcAcfMNHn1PVXBG5B1ioqlnAs8C/RWQFsB1fsjDGGBNFnvYRqOpsYHaVZXf6vS4GLvAyBmOMMaFZLQVjjElwlgiMMSbBWSIwxpgEZ4nAGGMSnNS30ZoishVYW8Ovt6XKU8sJwI45MdgxJ4baHHMXVW0X6IN6lwhqQ0QWqmpmrOOIJjvmxGDHnBi8OmZrGjLGmARnicAYYxJcoiWCqbEOIAbsmBODHXNi8OSYE6qPwBhjzMES7Y7AGGNMFZYIjDEmwcVlIhCRUSKyXERWiMjEAJ83EpHXnM+/EpGuMQgzolwc859EJE9EskXkIxHpEos4I6m6Y/Zbb6yIqIjU+6GGbo5ZRC50/q1zReS/0Y4x0lz8bWeIyFwRWez8fZ8RizgjRUSeE5EtIrI0yOciIn93fh/ZIjK41jtV1bj6wVfyeiXQHWgILAH6VVnnN8C/nNcXA6/FOu4oHPOJQBPn9Q2JcMzOes2BecB8IDPWcUfh37kXsBho5bxvH+u4o3DMU4EbnNf9gDWxjruWx3wcMBhYGuTzM4B3AQGGA1/Vdp/xeEcwFFihqqtUtQR4FTinyjrnAC86r6cBJ0v9nsm+2mNW1bmqWui8nY9vxrj6zM2/M8C9wINAcTSD84ibY74OeFxVdwCo6pYoxxhpbo5ZgRbO65bAxijGF3GqOg/f/CzBnAO8pD7zgTQR6VCbfcZjIkgH1vu93+AsC7iOqpYBBUCbqETnDTfH7O9afFcU9Vm1x+zcMndW1VnRDMxDbv6dewO9ReRzEZkvIqOiFp033BzzZOAyEdmAb/6T30UntJgJ9//3atWLyetN5IjIZUAmcHysY/GSiCQBfwWuinEo0dYAX/PQCfju+uaJyEBV3RnLoDx2CfCCqj4iIkfjm/VwgKpWxDqw+iIe7wjygc5+7zs5ywKuIyIN8N1O/hSV6Lzh5pgRkVOA24HRqrovSrF5pbpjbg4MAD4RkTX42lKz6nmHsZt/5w1AlqqWqupq4Ht8iaG+cnPM1wKvA6jql0BjfMXZ4pWr/9/DEY+JYAHQS0S6iUhDfJ3BWVXWyQKudF6fD3ysTi9MPVXtMYvIkcBT+JJAfW83hmqOWVULVLWtqnZV1a74+kVGq+rC2IQbEW7+tmfiuxtARNriaypaFcUYI83NMa8DTgYQkcPwJYKtUY0yurKAK5zRQ8OBAlXdVJsNxl3TkKqWiciNwBx8Iw6eU9VcEbkHWKiqWcCz+G4fV+DrlLk4dhHXnstjfhhoBrzh9IuvU9XRMQu6llwec1xxecxzgNNEJA8oB8arar2923V5zDcDT4vITfg6jq+qzxd2IvIKvmTe1un3uAtIAVDVf+HrBzkDWAEUAlfXep/1+PdljDEmAuKxacgYY0wYLBEYY0yCs0RgjDEJzhKBMcYkOEsExhiT4CwRmIQgIuUi8q2ILBWRt0UkrYbbuUpE/hmBeCKyHWMiwRKBSRRFqnqEqg7A9+zIb2MdkDF1hSUCk4i+xCnSJSI9ROQ9EVkkIv8Tkb7O8rOduSoWi8iHInJIsI2JSJKIrPG/yxCRH0TkEDfbEZEXROR8v/d7/F6PF5EFTt35uyNz+MYcyBKBSSgikoyvHEHlk8dTgd+p6lHAn4EnnOWfAcNV9Uh8pY9vCbZNp7jZW8AYZx/DgLWq+mM42wkQ62n46gQNBY4AjhKR49x+3xi34q7EhDFBpIrIt/juBL4DPhCRZsAx/Fx2A6CR899OwGtOnfeGwOpqtv8acCfwPM5kRzXcjr/TnJ/Fzvtm+BLDvDC2YUy17I7AJIoiVT0C6IJvZqff4vv73+n0HVT+HOas/w/gn6o6ELgeXyGzUL4EeopIO+BcYEYY2ylzYqksn93QWS7AA36x9VTVZ8M9cGOqY4nAJBRnlrbf4ytUVgisFpELYP9csIc7q7bk59K+Vx60oYO3q8Cb+OZA+M6v0Jub7awBjnJej8YpMIav0No1zp0LIpIuIu2ri8WYcFkiMAlHVRcD2fgmNLkUuFZElgC5/DwN4mR8TUaLgG0uN/0acBk/Nwu53c7TwPFODEcDe5043wf+C3wpIjn4plVt7jIWY1yz6qPGGJPg7I7AGGMSnCUCY4xJcJYIjDEmwVkiMMaYBGeJwBhjEpwlAmOMSXCWCIwxJsH9P9BgE5ldIv9zAAAAAElFTkSuQmCC\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# ââââââââââââââââ #\n",
"# ââââ Answer ââââ #\n",
"# ââââââââââââââââ #\n",
"col_plot = ['MDS3_off_total_model_m', 'MDS3_off_total_model_u', 'MDS2_total_model_m', 'MDS2_total_model_u']\n",
"col_real = ['MDS3_off_total', 'MDS3_off_total','MDS2_total', 'MDS2_total']\n",
"for i in range(len(col_plot)) :\n",
" print(\"Mean absolute error \"+col_plot[i]+\" : \" + str(np.abs(df_to_pred[col_real[i]]-df_pred_mu[col_plot[i]]).mean()))\n",
" plt.scatter(df_to_pred[col_real[i]], df_pred_mu[col_plot[i]])\n",
" plt.plot([0,1],[0,1])\n",
" plt.title(col_plot[i])\n",
" plt.xlabel(\"Real value\")\n",
" plt.ylabel(\"Predicted value\")\n",
" plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Part IV: Get the best model as you can\n"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.8.6"
}
},
"nbformat": 4,
"nbformat_minor": 4
}