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@AustinRochford
Created December 2, 2015 14:46
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"%matplotlib inline"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/usr/local/lib/python2.7/dist-packages/matplotlib/__init__.py:872: UserWarning: axes.color_cycle is deprecated and replaced with axes.prop_cycle; please use the latter.\n",
" warnings.warn(self.msg_depr % (key, alt_key))\n"
]
}
],
"source": [
"from matplotlib import pyplot as plt\n",
"import numpy as np\n",
"import pandas as pd\n",
"from scipy import stats\n",
"import seaborn as sns\n",
"from sklearn.grid_search import GridSearchCV\n",
"from sklearn.ensemble import GradientBoostingRegressor"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/usr/local/lib/python2.7/dist-packages/matplotlib/__init__.py:892: UserWarning: axes.color_cycle is deprecated and replaced with axes.prop_cycle; please use the latter.\n",
" warnings.warn(self.msg_depr % (key, alt_key))\n"
]
}
],
"source": [
"blue, green, red, purple, yellow, teal = sns.color_palette()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We are attempting a quick-and-dirty Python prototype of [individual conditional expectation plots](http://arxiv.org/pdf/1309.6392v2.pdf)."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Generate the Dataset"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"N = 1000"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"X = stats.uniform.rvs(-1, 2, size=(N, 3))\n",
"y = 0.2 * X[:, 0] - 5. * X[:, 1] + 10. * X[:, 1] * (X[:, 2] > 0)"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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0tlSjaRq721okqU2IO0T/wCBzsSx2bALFBhRoqjGpDjgYOXOe8tpuFMvAqWRo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\n//ybv8yv/sJ+UotnsZs0yht6GBy6CMBjnzmEszBNmUPj3jtvx5GboNw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Lns739ruK4hOC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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f66c02355d0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots(figsize=(8, 6))\n",
"\n",
"ax.scatter(X[:, 1], y, c=blue, alpha=0.5);\n",
"\n",
"ax.set_xlim(-1.05, 1.05);\n",
"ax.set_xlabel('$X_2$');\n",
"\n",
"ax.set_ylabel('$y$');"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Fitting the GBM"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"clf = GradientBoostingRegressor()\n",
"params = {'n_estimators': np.arange(50, 750, 50)}"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"CPU times: user 7.37 s, sys: 3.99 ms, total: 7.38 s\n",
"Wall time: 7.39 s\n"
]
}
],
"source": [
"%%time\n",
"grid_search = GridSearchCV(clf, params)\n",
"grid_scores = grid_search.fit(X, y)"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"{'n_estimators': 700}"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"grid_scores.best_params_"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"model = grid_scores.best_estimator_"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Plots"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## PDP"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"n_test = 200\n",
"x_test = np.linspace(-1, 1, n_test)"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"X_test = np.repeat(X, n_test, axis=0)\n",
"X_test[:, 1] = np.tile(x_test, N)"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"df = pd.DataFrame(X_test, columns=['x1', 'x2', 'x3'])\n",
"df['y'] = model.predict(X_test)"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>x1</th>\n",
" <th>x2</th>\n",
" <th>x3</th>\n",
" <th>y</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td>0.279598</td>\n",
" <td>-1.000000</td>\n",
" <td>-0.434511</td>\n",
" <td>5.168737</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1</th>\n",
" <td>0.279598</td>\n",
" <td>-0.989950</td>\n",
" <td>-0.434511</td>\n",
" <td>5.213292</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2</th>\n",
" <td>0.279598</td>\n",
" <td>-0.979899</td>\n",
" <td>-0.434511</td>\n",
" <td>5.100769</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3</th>\n",
" <td>0.279598</td>\n",
" <td>-0.969849</td>\n",
" <td>-0.434511</td>\n",
" <td>5.024886</td>\n",
" </tr>\n",
" <tr>\n",
" <th>4</th>\n",
" <td>0.279598</td>\n",
" <td>-0.959799</td>\n",
" <td>-0.434511</td>\n",
" <td>5.019032</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" x1 x2 x3 y\n",
"0 0.279598 -1.000000 -0.434511 5.168737\n",
"1 0.279598 -0.989950 -0.434511 5.213292\n",
"2 0.279598 -0.979899 -0.434511 5.100769\n",
"3 0.279598 -0.969849 -0.434511 5.024886\n",
"4 0.279598 -0.959799 -0.434511 5.019032"
]
},
"execution_count": 14,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df.head()"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"pdp = df.groupby('x2').y.mean()"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"x2\n",
"-1.000000 0.204841\n",
"-0.989950 0.245212\n",
"-0.979899 0.131145\n",
"-0.969849 0.056686\n",
"-0.959799 0.060659\n",
"Name: y, dtype: float64"
]
},
"execution_count": 16,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"pdp.head()"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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CXdc5v3wBu10aH5+amGZkL/LTt3fo9EckUhmGyiYYDKB7glhWg2Twg768D5ukIYQQT7qj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\nFnsHeU0oSka8bCsAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f66c016ba50>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots(figsize=(8, 6))\n",
"\n",
"ax.scatter(X[:, 1], y, c=blue, alpha=0.25);\n",
"ax.plot(pdp.index, pdp, c='k');\n",
"\n",
"ax.set_xlim(-1.05, 1.05);\n",
"\n",
"ax.set_xlabel('$X_2$');\n",
"\n",
"ax.set_ylabel(r'Partial $\\hat{y}$');"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## ICE"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>x1</th>\n",
" <th>x2</th>\n",
" <th>x3</th>\n",
" <th>y</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td>0.279598</td>\n",
" <td>-1.000000</td>\n",
" <td>-0.434511</td>\n",
" <td>5.168737</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1</th>\n",
" <td>0.279598</td>\n",
" <td>-0.989950</td>\n",
" <td>-0.434511</td>\n",
" <td>5.213292</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2</th>\n",
" <td>0.279598</td>\n",
" <td>-0.979899</td>\n",
" <td>-0.434511</td>\n",
" <td>5.100769</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3</th>\n",
" <td>0.279598</td>\n",
" <td>-0.969849</td>\n",
" <td>-0.434511</td>\n",
" <td>5.024886</td>\n",
" </tr>\n",
" <tr>\n",
" <th>4</th>\n",
" <td>0.279598</td>\n",
" <td>-0.959799</td>\n",
" <td>-0.434511</td>\n",
" <td>5.019032</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" x1 x2 x3 y\n",
"0 0.279598 -1.000000 -0.434511 5.168737\n",
"1 0.279598 -0.989950 -0.434511 5.213292\n",
"2 0.279598 -0.979899 -0.434511 5.100769\n",
"3 0.279598 -0.969849 -0.434511 5.024886\n",
"4 0.279598 -0.959799 -0.434511 5.019032"
]
},
"execution_count": 18,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df.head()"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"ice_df = df.pivot_table(values='y', index=['x1', 'x3'], columns=['x2']).T"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr>\n",
" <th>x1</th>\n",
" <th>-0.998811</th>\n",
" <th>-0.998778</th>\n",
" <th>-0.994352</th>\n",
" <th>-0.991417</th>\n",
" <th>-0.990124</th>\n",
" <th>-0.990118</th>\n",
" <th>-0.989480</th>\n",
" <th>-0.988027</th>\n",
" <th>-0.984352</th>\n",
" <th>-0.984071</th>\n",
" <th>...</th>\n",
" <th>0.981930</th>\n",
" <th>0.983647</th>\n",
" <th>0.985797</th>\n",
" <th>0.988202</th>\n",
" <th>0.991403</th>\n",
" <th>0.993398</th>\n",
" <th>0.993475</th>\n",
" <th>0.995099</th>\n",
" <th>0.999363</th>\n",
" <th>0.999932</th>\n",
" </tr>\n",
" <tr>\n",
" <th>x3</th>\n",
" <th>0.405296</th>\n",
" <th>0.240106</th>\n",
" <th>-0.265168</th>\n",
" <th>0.699012</th>\n",
" <th>-0.187062</th>\n",
" <th>-0.725768</th>\n",
" <th>-0.320852</th>\n",
" <th>-0.945409</th>\n",
" <th>0.499557</th>\n",
" <th>-0.070202</th>\n",
" <th>...</th>\n",
" <th>-0.052522</th>\n",
" <th>-0.391987</th>\n",
" <th>-0.915393</th>\n",
" <th>0.151307</th>\n",
" <th>-0.343871</th>\n",
" <th>-0.085582</th>\n",
" <th>0.417168</th>\n",
" <th>-0.341819</th>\n",
" <th>0.819593</th>\n",
" <th>-0.142698</th>\n",
" </tr>\n",
" <tr>\n",
" <th>x2</th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>-1.000000</th>\n",
" <td>-5.393289</td>\n",
" <td>-5.078873</td>\n",
" <td>3.811897</td>\n",
" <td>-4.985977</td>\n",
" <td>4.099747</td>\n",
" <td>4.252748</td>\n",
" <td>4.102215</td>\n",
" <td>3.277932</td>\n",
" <td>-5.525920</td>\n",
" <td>4.147402</td>\n",
" <td>...</td>\n",
" <td>5.389999</td>\n",
" <td>4.944699</td>\n",
" <td>5.271660</td>\n",
" <td>-4.985928</td>\n",
" <td>5.146594</td>\n",
" <td>5.513027</td>\n",
" <td>-4.820476</td>\n",
" <td>5.092128</td>\n",
" <td>-4.755790</td>\n",
" <td>5.101446</td>\n",
" </tr>\n",
" <tr>\n",
" <th>-0.989950</th>\n",
" <td>-5.348734</td>\n",
" <td>-5.034318</td>\n",
" <td>3.856452</td>\n",
" <td>-4.941422</td>\n",
" <td>4.144302</td>\n",
" <td>4.292320</td>\n",
" <td>4.146770</td>\n",
" <td>3.308271</td>\n",
" <td>-5.481365</td>\n",
" <td>4.191957</td>\n",
" <td>...</td>\n",
" <td>5.407080</td>\n",
" <td>4.961780</td>\n",
" <td>5.274525</td>\n",
" <td>-4.968847</td>\n",
" <td>5.163675</td>\n",
" <td>5.530108</td>\n",
" <td>-4.803395</td>\n",
" <td>5.109209</td>\n",
" <td>-4.738708</td>\n",
" <td>5.118528</td>\n",
" </tr>\n",
" <tr>\n",
" <th>-0.979899</th>\n",
" <td>-5.444913</td>\n",
" <td>-5.130496</td>\n",
" <td>3.778951</td>\n",
" <td>-5.037600</td>\n",
" <td>4.028223</td>\n",
" <td>4.184779</td>\n",
" <td>4.034247</td>\n",
" <td>3.312285</td>\n",
" <td>-5.612566</td>\n",
" <td>4.075878</td>\n",
" <td>...</td>\n",
" <td>5.291001</td>\n",
" <td>4.849257</td>\n",
" <td>5.278539</td>\n",
" <td>-5.100048</td>\n",
" <td>5.051152</td>\n",
" <td>5.414029</td>\n",
" <td>-4.934596</td>\n",
" <td>4.996686</td>\n",
" <td>-4.869910</td>\n",
" <td>5.002449</td>\n",
" </tr>\n",
" <tr>\n",
" <th>-0.969849</th>\n",
" <td>-5.492916</td>\n",
" <td>-5.178500</td>\n",
" <td>3.730947</td>\n",
" <td>-5.085604</td>\n",
" <td>3.924689</td>\n",
" <td>4.088570</td>\n",
" <td>3.930713</td>\n",
" <td>3.288047</td>\n",
" <td>-5.716100</td>\n",
" <td>3.972344</td>\n",
" <td>...</td>\n",
" <td>5.246535</td>\n",
" <td>4.804791</td>\n",
" <td>5.313830</td>\n",
" <td>-5.144515</td>\n",
" <td>5.006685</td>\n",
" <td>5.369563</td>\n",
" <td>-4.979062</td>\n",
" <td>4.952220</td>\n",
" <td>-4.914376</td>\n",
" <td>4.957982</td>\n",
" </tr>\n",
" <tr>\n",
" <th>-0.959799</th>\n",
" <td>-5.456301</td>\n",
" <td>-5.141885</td>\n",
" <td>3.719048</td>\n",
" <td>-5.048989</td>\n",
" <td>3.912790</td>\n",
" <td>4.070879</td>\n",
" <td>3.930071</td>\n",
" <td>3.279392</td>\n",
" <td>-5.679485</td>\n",
" <td>3.960445</td>\n",
" <td>...</td>\n",
" <td>5.229424</td>\n",
" <td>4.798937</td>\n",
" <td>5.307976</td>\n",
" <td>-5.123752</td>\n",
" <td>5.000831</td>\n",
" <td>5.352452</td>\n",
" <td>-4.947659</td>\n",
" <td>4.946366</td>\n",
" <td>-4.882973</td>\n",
" <td>4.940871</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"<p>5 rows × 1000 columns</p>\n",
"</div>"
],
"text/plain": [
"x1 -0.998811 -0.998778 -0.994352 -0.991417 -0.990124 -0.990118 \\\n",
"x3 0.405296 0.240106 -0.265168 0.699012 -0.187062 -0.725768 \n",
"x2 \n",
"-1.000000 -5.393289 -5.078873 3.811897 -4.985977 4.099747 4.252748 \n",
"-0.989950 -5.348734 -5.034318 3.856452 -4.941422 4.144302 4.292320 \n",
"-0.979899 -5.444913 -5.130496 3.778951 -5.037600 4.028223 4.184779 \n",
"-0.969849 -5.492916 -5.178500 3.730947 -5.085604 3.924689 4.088570 \n",
"-0.959799 -5.456301 -5.141885 3.719048 -5.048989 3.912790 4.070879 \n",
"\n",
"x1 -0.989480 -0.988027 -0.984352 -0.984071 ... 0.981930 \\\n",
"x3 -0.320852 -0.945409 0.499557 -0.070202 ... -0.052522 \n",
"x2 ... \n",
"-1.000000 4.102215 3.277932 -5.525920 4.147402 ... 5.389999 \n",
"-0.989950 4.146770 3.308271 -5.481365 4.191957 ... 5.407080 \n",
"-0.979899 4.034247 3.312285 -5.612566 4.075878 ... 5.291001 \n",
"-0.969849 3.930713 3.288047 -5.716100 3.972344 ... 5.246535 \n",
"-0.959799 3.930071 3.279392 -5.679485 3.960445 ... 5.229424 \n",
"\n",
"x1 0.983647 0.985797 0.988202 0.991403 0.993398 0.993475 \\\n",
"x3 -0.391987 -0.915393 0.151307 -0.343871 -0.085582 0.417168 \n",
"x2 \n",
"-1.000000 4.944699 5.271660 -4.985928 5.146594 5.513027 -4.820476 \n",
"-0.989950 4.961780 5.274525 -4.968847 5.163675 5.530108 -4.803395 \n",
"-0.979899 4.849257 5.278539 -5.100048 5.051152 5.414029 -4.934596 \n",
"-0.969849 4.804791 5.313830 -5.144515 5.006685 5.369563 -4.979062 \n",
"-0.959799 4.798937 5.307976 -5.123752 5.000831 5.352452 -4.947659 \n",
"\n",
"x1 0.995099 0.999363 0.999932 \n",
"x3 -0.341819 0.819593 -0.142698 \n",
"x2 \n",
"-1.000000 5.092128 -4.755790 5.101446 \n",
"-0.989950 5.109209 -4.738708 5.118528 \n",
"-0.979899 4.996686 -4.869910 5.002449 \n",
"-0.969849 4.952220 -4.914376 4.957982 \n",
"-0.959799 4.946366 -4.882973 4.940871 \n",
"\n",
"[5 rows x 1000 columns]"
]
},
"execution_count": 20,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"ice_df.head()"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"(200, 1000)"
]
},
"execution_count": 21,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"ice_df.shape"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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cE/Erv7S0xPLyMl/60peObZ8jl59UKsD3fVZXl7lx4zpnzz5NPH7LRCCR0KnV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ookk0ni8UTD7N3piEbH75DWBLBtp9eoWl0eq+Lz1pB7etaC4BBNePXPQiF/VMIA7+E/XkM+m1bS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\nP9Cd/vrse5MFAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f66c00edb90>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots(figsize=(8, 6))\n",
"\n",
"ax.plot(ice_df.index, ice_df, c='k', alpha=0.1,\n",
" label='Individual conditional expectation');\n",
"ax.plot(pdp.index, pdp, c=red,\n",
" label='Partial dependence plot');\n",
"\n",
"ax.set_xlim(-1.05, 1.05);\n",
"ax.set_xlabel('$X_2$');\n",
"\n",
"ax.set_ylim(-6, 6);\n",
"ax.set_ylabel(r'Partial $\\hat{y}$');"
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/usr/local/lib/python2.7/dist-packages/IPython/kernel/__main__.py:3: FutureWarning: icol(i) is deprecated. Please use .iloc[:,i]\n",
" app.launch_new_instance()\n"
]
},
{
"data": {
"image/png": 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u2Ud6aNyN11//Ot/85rf59//+T1AUmXw+x9LSMul0ElmWMc3P0Rr5H//xH1Ms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OL7lcjkplBkkSshJFkYnFVDzPQdPiaFqc+fkFXn/9+6ysrKCqWvSBEyEJHT744AqOY1MqldG0\nGIVCmkSiRyymsbx8Cs/z6Ha7SJJEqVR+6B5pOBQSOeDYiXkTTPBl4EFFSNM00ukMhtGl3++P5QDI\nssSzzz5Pt9sJg4CGyDLYtke5PEW5XGZnZ5du12BxcYFUKk273UZRJDzPPdawqGp1n1JJdORBICaE\nnuczNzfP9vaDm4+DGA7tkLzbYzDoR3wB3w9YW1uj3zdIp4XDpe8HmGYvNPmqYNvDSSF/2jA7O0e/\n348CCmzbeeJC7jjOGMniqB1tIpGg1zOigI5YLEa/3+PWrVv0+73I83zk+DY1NcXt20cX8o2NdW7c\nuMHGxtaRjx/EtWsf86/+1f+O73u8/fbb/Pf//mMsS6S/7e/vPbFP+muvfY/f+I1/xsbGBu+8805E\nMJNliUKhwOLiIs899xzptMhGF3stsXM3DCOyoT1z5myYMQ6VSoZa7d6KoNlshCzc7AOLeBAE9Pu9\niLGeyWQf6Rk/wQRfd6RSKRzHxrIser3xoKVCocDLL3+LQiFFq9VH6MgdYjEFz/OxLJtOp0WnY7Cw\nsMjq6irpdJYPPrjCJ598HKYEpggCH1mOIUngOPYT3yOGQ5upqWlANEbV6j537tzi5z//x8eWso6a\ni1wuTyaTxTC6oR11l17PoFyucPLkcij3Dfjgg/ep1WohudjmaTrTTwo5gvA2OzuLqgo5wygR7EnQ\n6xljb/aD+vARZFkQN0byDEmSaLVa4QnapVrdJ5PJEAQ+iYSQoXU6h/fTAHt7+7z33tuHghJkOXZo\nFL6zs8Vf/dVf0O22eeutt8KEMikcfT355OGll15iOHSYn1+kVKpgGAaSJLyDi8USiUSSZrPB9vYO\nsZgaJpaJ71XVGMViidnZuUM7vhFGwQmapkWkleHwsBuUaZq4roMsK+Tz+afqBD7B0418vnDILMow\nDOJxlxMnlpieztNoCEa36M5NFEVGknx++ctf0O/3aDbrnDixTDKpMzc3x+bmBq5rk0ymUZTRPUzG\ncYYhU9xiODy6a7//viP81Ec6cjGhHA4ttre3WV+/it+HdQAAIABJREFU+1iv0XFsBoMB9XodTVPR\n9QS5XI4PP2yi63EWF09w9uy5SEe+s7NFq9ViMOgzGJi4bu5rwV4/Djwdr/IxUCqVKRbzQBAZrTwJ\nRppJSZKjiNCjkEymwkCUGKbZp1arhk5GFo1GPcrS1rT4Q/f0e3vbXLv28aHT7VH7bIC//dv/jOd5\nx5JSlsuJ4Ibh0CaZTLK6uhrtqg3DYHd3hyAIqFRmKBYLoW3iPVLbwz5cjuOE1otyxEQXoTZHE2QS\niUQUIDPBBE8T7j+4ZjKZMLdcTPNAR5LEgf3UqVUajQbnzl3AsiyuXv0ojChdp9Go0+22yGRSWFYM\nRRndxyQUZcQjEofxVCpNOp0OP8NBpNsGn83N8ZH5j370N2P/f3p6GlVVoh3/o2BZA/r9Puvra0gS\noeIliW1bJBIZSqVStA6QZZlKZYrbt2/RarWYmZnDsh6cc/FNw6SQH0AymQmdkNxPUchFgEGlUsF1\nXVRVxfO8Q25iqqqGutAY3W6Xer3O/v4+7XaTVCodEcfi8fiRNoYjVKvVR+7HD+I4/ONHWF4+xalT\nq9RqNbrdDltbWyhKDNd1URQpTFfLMz+/+FA3Nc/zogI9GMQYDAb0ej2CIIgcm8SIPUDTNHR9nOwW\ni8UmXfgEE4TQNC1czQ1DYq1oSEas76Wlk2xsbPDcc8+TyWR5//0r9Ps9HMel3x/geT7lcplUKh1a\nukpRrPNwKMxWZFmKfo6458Fw6PA4k739/X0uXrwUNT33IxaLjRnWDAYWniesroWCZkA8bmAYBrGY\nGgY5iXugCJ0yGAwsWq0WjuM8NLDqm4ZJIT+AdDoRJvPYj038GsH3/chuT9O00HFth5mZ2UNs63Q6\nQxAEbG5u0OsZvP/+2zSbbQqFAsOh0EFXq/uR7eqD8GXF/C0sLFIslsjnC2xsrIejetC0BLlclkKh\n9EjS2YigNvo9x2IunY4YBYpscI16vU4QBORy+UO/wwkmmOAwMpkstl3HNM0oewBEoZuZmcU0TZpN\niRdeeJF8Ps/m5gZBEHDnzk06nRae51GpVND1ZNQFDwYWpmlSr9fCMbsVashHbPcA6TGJ72+++fMw\nOe0wNE0bK+Sm2afb7aIownFSNAteaIbT5Nq1j0NOjBRa2A5ptdokEjquK3Io7rd3/aZiUsgPIJlM\nhTIG74nkZ0JPKcghI1SrVdbW7uB5Hqurpw99j+u61GpVdnd3uHPnDqbZZ2Njg263ja4nePfddx4Z\nON/r9R/6+OeBfL5AJiNOubIsc/Lk8gO/1vM8HMfBdcc5ByJIxoxYqGKMnsG2Bat+pCIQxJvkpIhP\nMMFjQtixViiVUgRBPBqtt1pN4nGd5eVTobGMzblz53n++cvEYgq//OWb/PVf/6ewo+2QSiXJ5XKA\nSA90HIvhcIBIQxaGUaNbpJDbHl5tjaZxB+9jD5sM3s+abzQamGafTCZDOp1GlpUw5rnHhx9epdfr\nRNfo+wF7ezt4XkC5XMQwDHK5PJY1mBTypw0jlyDfd6MY0sfBqOjfn39t20Oq1SonTy4f2gs7jkOj\nUefjj69Sq1UZDofcuPEJ3W6bn/70H7h+/ZNDaV/3o1o9bBbzeeOll75FOp3GcRxkWT5ydC7Y6d2H\nfmglSaZQKESj8VQqhWmK36Nt2/T7fRQlRibz8N/BBBNMMI6RJ/nBtdMofVFVY5w6dYqdne2oEZAk\nmaWlZc6ePcva2m1iMYVkMh1lnSuKjO9rTE3NIMtVZFlGVTVG43TfD45sfB7ViNyP+59DOEsO2N8X\nJGDP89D1OHt7Fs1mjUIhx6VLz0fj/+3tLfr9XpjmWGV2dh7Lskilvh7e658F3+xX94SIx/UwE9fH\ndY8e/xyFowp5o9Gg1+vj+wH1+j0S2wjDocjbvX37Fr1eH9d12NraotXq8MknH4fGDbMP/bnHqft8\nXFy4cIF2uxWFyozIL0BI2hMeyZ7nRl7zqqoesqIV+euHT/GjFCMQevVPG1wzwQQT3EMmkw1lnwrl\n8hSyLFOv1zBNsRsX2Qfn0PUEQQCeZ4dTRgnfD5BlBVUV7pciO+Ge4ZXr+jjOZyfRqqo6Zkglnttl\na2uD6ekZQBhtbW2t4/s+s7MLTE1V8H0fWZaJx+PU61U6nR61Wg3fFymW3W6HYrH0ma/vKIwksLqe\n+FIPC5NCfgAj1yDP8zDNx0+jub+Qi1FWI7Q7LbO/v8v09PRYUWq1Wly/fj3aO43GX1evfkSv12N+\nfuFTmZssL58K836Pj9x2ECdOnAQkEgkdyxrS6xkMBgMkScLzvGjnnUwmyWSyjyzEB9OLRBFv4fse\n6XRmQmSbYIJjgqIopFJpej0DRZGZmppB0+Jh6qGCLIvo03w+h+c57Ozs4vteyPnRw321h64nKZXK\n6HoiIviK1ZlHLKbhuk8eI5pKpXFdh5Mnl7l+/ZOxx0yzz97eLu+88zbgMz09S7W6j2maXLnyPhsb\n65FF6/b2Fp1OG8No0+8bNJstlpdzkXROZEn4WJYg0aXTmc/cKJimSa/Xw7KGlEqlL63xmBTyA9B1\nHUmSwwzuT1PIxZjZNE02NzfZ3t7C83zy+TyGYYyNyjudNh999GG0K3ZdD9Psc+3ax6GW3Y1IZE+C\n1177Hmtrd7hx4zq12vGO3tPpDDMzMySTQvKVyfihvaw4jUuSTCKRJJFIPjK0RBxcWlHwiuf1I92r\ncK96itwcJpjgC4BYiQlzl0QiTqlUCjkqEqqqsbu7Q6tlsbi4xMLCidAaVqXdbrGzs0UQeDSbLUxz\nEJF7QZi/CFfH2Kcq5ILkazE1NXOokA+HFoqiYZpiVdfpdOn1+uzv76EoSiihE0lszWaLdlv8T1EU\nNjc3WF4WHJ52uxWGQY0z5j/r6m40FXVdh36/N8aS9zwvOmR83pgU8gMQb1wFywoeKv26H6Nd0OgP\nZhhdarVqeIptMRgM2Nra4uzZs9Gbv1arsbe3g20PI3ap53ns7m7iOB6NRo1O59Fxf/djbm6Oubk5\nFhcX+Q//4f95ou/V9STZbCYKcxE7cIlcThxEZmdnqVSmxh7P5wsPfU6RE+weIrt1u1183wvtW4Vk\nLR53UBTlqZGMTDDBF41cLk+j0WAwGJBKpaJCViyWsCyTd999l16vSyqVQZLAtoek0xkuXHiOVCrN\nRx99yGBghStIcd9TFJlMpkQymX5imWs6nSafL4YhLofH847jsbg4z+zsHJ1Om/X1OwwGA/r9Hqqq\nsbKygiSJzIXt7U0sy6TT6aBpcer1Go1GndnZuajgjqS9I1Z/IvFwX4uHYZS2qKoanudFvB5ZlrGs\nQeQXUqlUPtXzPwkmhfwAYrEYihIjCHiizN7ROHlUyNvtFtXqHt1ul3hcp9NpUq3uUSgUmJ2dxXEc\ntrY2MYze2Ag/CHyq1SrDoY3j2HS74/KyEydOsrFx94HXUSqVSadTDIcWq6unWVo6+VguSrGYypkz\nZzh58iSzswtommB5qqoaFnOZnZ0tdD1BKpV6rDe+ZVnRrvxBSKczUeddLGbwvEn06AQTfJ6QZUEy\nbbVaUUiSMHuROH/+GTKZLHt7OzSbLXw/QNNUbHuIaXbJZLI8//zlcAIX4LpBFGU6NTXFe++9Tb1+\nL3Z5NIG0LOuBhk7pdIbpaTHlm5tbBH4x9ni/32M4dCiXK2QyGYrFItvbP8SyLOLxOPl8AUkKkOVY\n6EvhhAcVMUrf3t5kfn6Bcrk89ryxWIx2u4VhdEml0uH1iWZDVYVOXqTEGdj2+N5elmWy2Ww0tU0m\nk0iSRLvdOtR8eZ4b8Yk+T0wK+QGIQq4QBP4TnSzv35E3Gi2q1SoQ0G436fdNPM9lff1uaPrvs7Z2\nG9seHtKr27ZDvV478udcunTpoYX8hRde5vz5S2xurtPptHjmmWcfWMglScT+JZMZLl58hsuXn48C\nCMTjEkHgARKapuM4Nvl8HkmS6HY7uK4wu8lms2O7bN/36fWMaGWgadqRZLfRh2WCCSb4YhGLxSiV\nSrTbLWzbjoqsZQ05efIUS0vL0R45CITD2tbWFhsbd/F9n3y+hK7f+8wHQYDjuBQKuejfstkcs7Pz\ngHCbvHnzxpHXUiwWyOcLVCoVXnzxJf7iL/7fscer1X3effdNut0WsZjKwsIi3W4Ly7JIJBLcuTNy\nfQPL6mPbQzqdDru7O5w7d45Go0Gtts+JEyfH7kG6roe2scMj3S5Fvrl/oAiL7xWGYTbNZgOQkCQ5\nzI1XKRSK4fRRRFQLqdwAz/M+dyLcpJAfgJBVxACf4fDTkd2CIKBa3Qm78TiG0Wdvb49Tp07T7/fY\n2Nggk8lw9+4a/X7v0HM9zEL19dff4Ic//OsHPv7tb7/KCy+8yNRUhfX1dba3t6lUKtRqNUamCUJn\nWmZpaZXp6QqJRIJKpUyxWKZYLEVRqpKkEI+rqGqcRCLJ3btriAAGO5SeKbiuQ7PZCC1YZVzXxbZt\ngiAgFlPJ5XKP3JVPMMEEXzxkWaZYLEUs8cHADHfQbVRVCx0WxX1NkiSWl5cpFkvcvHmNdrt7IFNc\nAgJUNUa5PBU9v+fd4/j4vks8rh/p055MpkkkNEqlCqXS0SNo0xxw584ag8GAtbXb7OxsU6/XqNdr\n3L59K2w+pEhp1O8b7Oxs8b3vvYFh9FhbW6NYLKHrCTzPw7IGuK5HOp0mCERGhKbFwyYuwLIG4She\nIpvNkkwmx65nFK8cBD6KEmN9/S7FYpFisTTWnIyuZ1LIv2CM3INEJN6TFHIxkpFlmeFwyN7ePv2+\ngWUNSSRE7m+73WJqqkKr1cL3Xfb29o60gX0Y23x5+dRDr+PSpWfJZDKcOXOOSmWKnZ0tzp+/SCq1\nQaFQQFVjZDI5VldXKZVK6LrISC+Xy1y69CylUgXXdSITCc/z8DwX0zTDE3gQakyTZLM5hkNx+j3I\nJ4jFVBKJRDRummCCCb66GB20Y7EsjiOiTC3LinbJsixj2yLZUdfjPPfcZRzHw3XdUKUSIDzXAz74\n4EpEKBv5cYDYc3uei6pqYZRzH98XRa5cLpFMJvF9D9u20LT4obWmriepVKbodNqYZn+s2RmpXQ5i\nMBhQq9VRFJlEQqfVarK7u0s2m40kssOh2POPolYPIh6Pk82OsjMO38MSCSG/M80+hmHQbDawrAHJ\nZCrS68M98vOT6uk/DSaF/ABER64SBMETuaYJHaMSGaFUq/u0220sy0bXNTKZDJubd9F1nVKpTK1W\npdmsH/lcB3WUI9/kEebnFx56HSdPngTEgaRcrvD88y/yySefUCgUOH/+Yph+FEPTRmYRMul0hvn5\neWzbYW3tNrIsR3aLIxJJLBYjny+GZMBYlOwWj8epVCrRNYus88lbaoIJvm6QJIl8Pk+73UZVY6TT\nmTG2tW3bdDqdsCCrJJOJ+9ZwcObMmSgrfXp6hlxOpBt6nsu1a108zw+fV6HVagAwOztPOp0FhFa9\nWCyyt7c7dm2NRpMXXniRTCZJq9XiH/7hJw99La7r0m63uHNnjeeff45ut8P29ha9Xi48rJi02y0s\na0gqlT5yxfeoJkTTNGKxWDhZNbHtIXt7uywt3Rvhj5qhUWz154nJXfcARNESu59ut/vYJAXf90LG\n+S6dTotaTRRyz/O4e/cuJ0+u0Gw2WV+/gywreJ5Lo9F45PMeLOKJRIp0Os3lyy/w3nvvHvn194+m\nzpw5y9mzZ7h9+zbpdBZJkvE8JwobSafTqGocWZaQZYmZmVmy2Uzk6CTLCrGYEuo8Xfb2dlCU2Ni4\nfLQHn2CCCb7eUBTlyA4VROEql8sYRpfBYHDkCrBcnqJQKOI4NgsL85w7dxEQo/FOx2Bra4NerztG\nfJufXyCTyTAYDJBliWw2c6iQf/TR+0xPT+O6IuP8oMRNOMwBBGNNUKfT5s6dG7z66qv0+yam2cc0\n+wRBgKLEcByXa9euUigUyOVyGIYRdfaZTIZMJvvIpqTX64UTyT6ynKZa3UeSZOJxlcHAivhRly49\n+9DnOQ5MCvl90PU4QTAKtX90IRc+6wH1eg3bHtLtdjBNMxqndLsdOp0WpVKZdrvD3bt3kCT5iWUa\nL774IrIs88ILLx1ZyF944eVoRz+65nQ6zbPPvki/P4g6bV1Pk81mwv21IJxNT88wNTX9UPJZp9PG\ncdwv3cFoggkm+HIgSRLZbI5sNjc20g6CANd1mZmZoVKZotVq0OuZbG9vAOD7gsFeqUzhOEOCgLBw\nK6FTnNhVF4slKpUZbtwYJ8Z5nsePfvQ3SJLE9PS42+XIh+J+9Ho9trd3aDbrxONxFhYWouvN5wvs\n7u7w0UcfcPXqh0xPT4eEZHHPTqXSYeSqRqfTot83w9chHtc0lVOnTlOv12g2G9FhwrKskAQXMBgM\nsawB7Xbriey+Py0md+T7oGlix2FZ5qEddhAEkbFAIpGMovwAWq0mzWYTVY3T6YzLxu7cuc3q6lkM\no4umxWk2j2alPwznzp2n3+/z4osv82/+zf956PFnnnkm8jfP5/NR13zu3Dkcx4psDNPpDMVimUwm\njaoKRvnjENIcx8X3fTQtPsn+nmCCpxyyLI/dB1RVpVSqsLKywubmOpIURAVsOHTxfYdCocjc3AzN\nZosrV94jl8uxuHgydEUrkE6nSSYfHJAUBCIY5XFgmiaNRo1ms0WxWCSfL0ZEXsMwqFSmmZ2djxqw\nWCweJqh5VKu77Oxshs5vMrIsjTV0huFjGO+haSq9Xi9Ms/TJZPJks8IDI58Xuevtdotut3NI/nbc\nmBTy+5BIxBEnqkEoq3CiQicyfsVIaWT5l0oJHXS73cZ1XYrF8iFHtu3trdDGVLiZra9vPPF1rayc\nwbZtVlYOJ6klEkmee+55gHBsXyeZTJJOZ8hkMjz//IsEQRBxAJ60oxZOc3a4enhwvvgEE0zw9CKT\nSXPhwkWuX7/G7OxCZOzkui77+7tIUhDaNsvEYir5fIG5uXn29najCOiZmbljupqARqNFvV5jcfEE\ntVo17I6dyNsik8miKAqJxMgISyEIYGdnl52dbZrNJnNzC6ysnA75RRK6ngg5UC0ajSa2bbG720OW\nJebm5qOaoKoatj3E8xw6ne4xvaYHY1LI78NovGxZJs1mE9/30HWdTCZLv99DkmTy+Tzdbjc0JdAJ\ngoCtrW06nTbJZJJ6fdwa1fd9dnc3mZlZoF7fP7QDehzMzs7i+z6lUol8vki7fS+rfHV1lcXFJVRV\n7L27XdGZDwYDCoXiIfnEUXBdwVgdSSZGKwPP8/E8NzKOmMjJJphggqOgaXHOnDnHqVOrFItFUqkU\nAI7jMzU1zc7OFltbm9i2SCNbWDjBzMwsjmMzGAyYmZmlVCoe+dxHBao8CobRYWtrm9dee50g8LHt\nIbIsNPQjk5dUKoWqCs33KAt9enqacrlMtbqHJCl0u22CIIjUSaqqkc8XcF0XwzBYX1+n1+swPT1H\nPl8kny+E7nMm3a7BYNDH87wjkyKPC5NCfh8SiSSSBKZphaEBCpZlMRwKfXQ2myUej5NIJMLAEBPf\n96lW93Ach3a7w/7+4dH5W2/9it/8zSksa8Du7vYTX5eQjwljlZdf/hY//vHfAsLN7dlnL1MuC/b4\niJRimiaG0cUwjAcSWODeuuBB+vURmU0Q3+4x1ieYYIIJDkJVVWZn57h06Xny+RzxuFhTDodDer02\nw6FDPK4Siw3J5/NcuHCRTCZDMpkMScAeyeTR9sxPWsQBOp0uGxtr2LbNhQvPRKvQ4XAYpjPKtNtt\nHCcglUoTi8UiprmmxZmfXwg1504YDuMyGAxoNuv4vpjKbmxsYpomN258QrlcZnFxAcuyuH37Fnfv\n3mV/f4+5ufmnp5DX63V+8zd/kz/+4z/m5Zdf/tKuI5VKhe49LoVCEU3TaDabOI5NLKZG3a2u66F9\nn0jW6fd7aJqG6zp43uE3Xa/X46233mJmZoZms3no8UchmRSewI7j8J3vvMb/+B//jVgsxpkzZzh3\n7hyyLDMYmDQaDXK5HKmUsGodOTcdxSw/GFyiqhqJRIJ4PB7tg4QxjPhvQeLzJh35BBNMcCQkSaJc\nLnP+/HmSyRSyLO4dQeDTbNZwHIdkUiSdxWIqFy9eDO1Oc1hWlX7fJJHQH/FTHh+ua7O1tc0777zF\nzMxsqOsW61LX9SiVipTLU+i6Prbv7/V69HoGjuOQTmfwPDe0sZUjff3m5gb9fp9Op8XU1AytVpP3\n3/+AdDpPMqmH4S1tqtUqhtGJmqzPC1+ZQv6Hf/iHLC4uftmXQSKRRLgV+dGYvVAo0O/3wscERJ62\ngu97WJZFr9dD04QZyoMgbFmf/GQpfp4gpZmmyYULF1lcPIEkwTPPPMtLL70UuqnFxtzWkskUtm3T\n6xljebzD4TByLwqCAF3XyeXyD2Xoj8ZOE8b6BBNM8CCkUmmWl5dDxzZRlIWxlI9pDlAUOex4VVZW\nzgDCb911XSRJGLQ8yRhdRJMKv/ejnOOq1T3effc9Tp8+w/T0DJY1xDA6dDpdlpaWOHfuwiHy7igR\nbjTR1PU4lnVvYpnJZFlYWOSDDz5AkiROnz5Dq9Xio48+4P333yGTSaMoKp1Ok/39XQzDCANVlFDW\nLAjSxWLp2Bqjr8Rd+c033wwdyc582ZdCKiVGO6Z5700hy/KRcXeJhE6/349OcJlM7pEhJUeN1SuV\nKVKpVGiDevD5kwwGJul0OrQR1DAMgxMnlnjxxZcJgoDXXnudhYWT7O/vkkgkyWQydDqdcEduIUky\ntm2HloIBlnXP312WFVKp5GNFhjqOi6LEJm5tE0wwwQOhaRrJZApJYqz4TU/P8MILL7O/vx8aTgUs\nLZ3Etm10XadQKEbM90wmG8q4Hg3RYEiH3N1G2Nvb5fbtG3zwwXvMzs5j2x69XpdOp0WrVSce15me\nnqHRqEXNSqUyTaFQoF6vcv36J9i2E/mug7hvZjIZarV9dD2BJAVcvvwC7XaDbrdPLKZSqWSw7TS2\n7dJstjAMg+FQTG6DQML3PZLJ1DenkDuOw5/8yZ/wx3/8x/z+7//+l3055HJpJInHytXVtDj9fh/D\naNPpdHEcl1ar9dDvOcrlZ3Z2lhdeeIV/+2//r+jfyuUK2WyeWm2f1dUzyLIS7sjFKfTFF1/E8wLe\neOPXaLWaKIpwbBu5rYkDhoFI9JEi3bokySSTSXQ9cWjU4zhOdBIekd2EdaITBQFMMMEEEzwImqah\n6zque+8+5/s+qVSK06dXQ/dJ4eImyxLNZoNsNhetLEulEtls7rELeRCIwBRFkR/ooFat7vHBB1eo\nVmsMBha93mgkXkFRVHQ9zmBgRYVaVTVOnVphMOjz9ttvEQQ+sixFZLcgCEilkvT7PRQlxvb2NvG4\nzq/92q+zt7ePrussLS3x/vvvce3ah7TbLfb398hk0uGKVOjTLWtAJnM8kc1faCH/sz/7M/78z/98\nzI/3u9/9Lr/7u78bdYVH+Y9/kRAdufRAo4GDEPtkmW7XoNPpYFkDdnYeT+d4ENPTc7z66qtRIU8k\nUqysnCKVypFKJbl06VLkxqaqGq7r8c//+f9KPB4nHo9j2zaqGosKrSRJpNNpbHuIbdtkMtkDkaTK\nWFcdBAH9vohTfdAHYUR4G0ntJphgggkehHy+MPb/Pc+jXq+RSKSYmysgSRKuey9UZTAYRIU8k8lS\nLpe4e/dO9P2KEqNYLGIYRhQdOsKpUyshcU3l5s1Pjrye7e1tFheXQgWOh2H0aLcb9HoGiUSS6Wmh\nbZfle2uA9fU1ul2DdDrF1NQcuq4iSUpk5tVo1Mhm8+zt7fKrX/2S3d1d/uW//N945ZVvRYE0V65c\nQZJENnm32yWXyzE/vxja3baO1YP9Cy3kv/M7v8Pv/M7vjP3b7/7u7/Kzn/2MP/3TP2VjY4MPP/yQ\nP/qjP2JlZeWBz1MoJB9bz1ypPNmJZ26ugqLIBIH/WN+bTsf45S8DarW9yJb1STE9XeL73/8Op0+f\nptlscuLECX7rt34LWZa5ffs2ly5dYmoqx8xMkSAQMom5uRnS6TSWZdFux1GUJLOzhbEuO5eLU6/X\n0XWNYvGerGOUYOZ5HqZpEo+Lw8PoYDAq9MINTjoyhvTzwJP+rSb4cjD5O3098FX6O6VSCoZhkEqp\npFKp0DwrjaIItnqhkAhZ49MsLi5w5cr70XRQ6L6DcOKo0enc8+mYm5uJeD47O5v0+0dnZHQ6LWIx\nEWrlui69Xo9+v0+lUqLbbeG6buSMKQ4ee6TTaZ577gKvvfba2AjccRwMw+D69ev8x//4MbXaPq5r\nc/PmRyQSolmq17cxjAaWZaIoEIt5XLp0hlKpxGAwoNPZJ5fTo7/RZ/1bfemj9X//7/999N+/93u/\nx2//9m8/tIgDtFqPZ29aqWSo1YxHf+EB2LYY1/T71qHvdRyHTqeDogiHtNEfd2en9lje6UdBWKMm\ncd0Yr7zyHW7c+ITvfe/7/NN/+r+gKAoffHCFeDxOtzskkRjS7Q7pdrtAnEIhoNczqFY7JJNJ2m0L\nSRqXkXW7No1Gj3Z7EO3ID3bekiSRSqVIpZK4rjQ2EruHB0erHhc+zd9qgi8ek7/T1wNftb9TEAS0\nWgMajXvRzclkElWN0en0GA4JA1ccUqk8mqaNEd5EFDNRDgQIEvLc3AkSCdGArK+vc/369SN//rVr\n11heXsFxHFqtJv1+j3y+yN7ePpXKNLlcgWQygevaodubh6rGsW2f69fvRq9BTJM9FhaWUJQE779/\nhVqtSjqd4Sc/+Sm+L4fGW3E2NnZpNpvMzy/ieQrVahfT9HEch729Jp4XI5EoPPbf6mHF/ksv5F81\npFJiR+44w4jVLUkSnufR6xmhr7BgfqdSKTKZLPX6k1uujlCpVFBVncFgwG/8xj/j/PlzvP76/0Qi\nIeRmq6uiSxcseRlNE1rIEftdSClE3u9RXXM6nQ7fuOKkKuxlE1H+7uh5J5hgggk+L4zS1UYxzYqi\nRKu6blfCNEUMqOM4FAoF8vl8NDk8iBFRF0R80NJAAAAgAElEQVQTdPHixYjoVipNAUcXchCqoYNo\nt5uY5jyZTJZOp0W73cT3fWIxmWxW+L9/+OEVqtVqmFUu2PH9vsnW1jZXr4oiDtDrGdy4cZMLF56h\nWCxh2ybdbptu12A4dEinheyu3W7h+z69Xo9k8vhWlV+pQv4Hf/AHX/YlROz0wWDAnTu3wo41jaZp\nUWgAEEkK4nGdRuPTF/JisYiux5BliXPnnuHMmQvouk4QCFtU13WQZSmSfWmaiqrGsO0hw+EQ0zSR\nZRldPzrwJB6PUyqVowOJ0ENOmOcTTDDBFwtN047UUuu6HmaIV0PtdopcLs9gYNNqNUPTmEQUSDVC\nOp0NZV3CyCWfzyOkw4/Ps/r44w9ptZrRAQMCFEVlenoax3HI53P0egaKEsO2HSQJBgOL3d1tPvro\no7Hn2tra4JNPrrK4uITjONy6dYtmU/itK4pCJpONkjJlWX4sHtbj4itVyL8K0HUt9Fi3kWUlNHlx\nSafTpNOZiE1pmn0cxyUWU9nY2PzUPy8eT5BIiF2R6wo7WEmSo522aZrRzwHBqBwZwwhXIpdUKvVQ\nfffExGWCCSb4qkLIbAdIktgvF4vF0CRmQBC4LC2dZGZmjr29Hfb399jd3UXXk8zPL/DMM89GBl53\n766RyYg89CfBUZLgVqtJLKawt5dgd3cHSRp15BLgMTU1fUhq7Dg2P/3pT8nnP8A0rSiytdVq4jgO\nzWadxcUlhsMhiqJMCvmToN/vMxgImv/DYjpHUNU4ION5PidPLgNEUXSGYbC3t4umxUml0hiGQbfb\n4c6dOw98vlKpTKNRP/KxpaVTSJLIvxWMcpGVezC9TNiiygc6ci00hhlEsghNi0+kYRNMMMHXEpqm\nUalMIcsy9XqdTCZDOp3FcTw8LyAe14nFVMrlKTKZHKZpEY9rZLPp0B9DSNwymTSpVOqJC/lRELJb\nD9u2MYzOocfr9caBLv4eRpbdkkSUu763t4vnebTbbYrFMpqmhY2be2wqrW9sIfc8j1qtFv1RO50O\nlUrlkWPlkVbb9z0ajQa2PSSTEc5DN25cZ3Nzg1KpjCQFIfFCotU6muhWKBQ4c+Ycb77587Hdzgjz\n8wsEQUChUIzMVkZRewdfx8HIQBFcEsdxxOuKx+MEQTDpuieYYIKvLUY+5Ioik8sVyOcLyDL4vk0q\nlQR8hP5cjpoywfXRSCSSJBIJLMskl8tTq9WihLPPC0cVcRAx2KdOrRAEHlevXgVgf7+K73sEQcDO\nzk5o4domlUofmwTtG1vIXVdk4I4sU0UaTf+RLmb3yG0B169fw3VdyuUy8/MLNBpVrl79iOnpaTRN\njODPnlUwzaMlD9PTs8zNzXHixBLr6+OubfF4nJmZGQyjy9zcLPG4Fo7Rxz15Pc89lP0bj2skEjqq\nquE4NooS+1wN+SeYYIIJvggoikI6nWZqqoJtW8zNnWB1dYV0OsP+/i6bm1uk0xlSqSSzs4t861uv\nRsTgTCbL7OwM+/t7tNsPN+b6vDAY9Nnd3Rk7SPi+S7vdZn5+kW63TavlhQTp4FOFwRyFb2whj8fj\nlMsl6vUevu9jWcPQLz3x0KJn2zZBIOG6Nrdu3SKdTtJutxgMBty9u0a1WkXX48iyguvaFApHx+4B\nnDhxglgsxquvvkqn04miRzVNZ35+PswGV9A0nU6nSyymYNvDyKRFnNj8yMhlBFUV5iwjS8Hjcgea\nYIIJJvgyoSgKyWSKcrkc2UqfPLlMsVhienqOqamZ0NY1ztRUBdd1aTQaOM4Q8FlaWuHmzZtfWiEH\nsYq9v9Pe2Fjn9OkzWJYIsmo0amE2xvFMDr6xhRwEMWGUyx2Px7GsAZ1Om0Kh+MARuzhJ+aHcrEs6\nnaJarVKv13n77bfY3d3FdYfIsoznBWQyuQf+/JGhSjqd4Qc/+AH/7b/9VxRF4dy585w+fQbT7KPr\nergzkbFtJ9x990PCnZAqKIoy1pGPOvYg8CNLxAkmmGCCrztkWSEe1ygWS9TrNXo9E98PcF0XVZWZ\nn19kdnYOz3PRdZ16vRapcUDi1KlTlMsVGo06lnU4ROWLwFHj8jt37vDGG150j280muh6ctKRPwqj\nHfnIBtD3hcWpIC90SSZTmGYfWVbGxu1iJO/j+wGtVpt2u008rtPpdFhf38SyRFSoZQ2wbYdKpfLA\na4jH48iyjG0POX/+AiBhWUMuXbpEpVLhZz/7GclkknhcCwu18DYfmbT0+3183z9E0hs5rYl89Acf\nJCaYYIIJvk4QHCCNcrlMszmF6+6EBisqnucyGPTDvIgUup4km82hqipBENBsNpmdnWN+foH9/T32\n9naP5ZoEwTiOuD/7D9yPPwxXrrxLrVZjb28PwzDY2FhD1xPHtsv/xhZyx3HwfSf0InfwPJdEIo3v\nB5imOaZH1HU9YoWPLPwsa8Df/d1f4/tw8uQJCoUKhtEllUpQKBS5c+cOzWadnZ2tB15DuTwdktxE\n9//ss8/R6XRYXj5Ft2vgeQ75/DSqKjrsUd5tLpcPr0mlXhcJPQdxUM8+iRWdYIIJvikYmVQlEkmm\npqYYDET0KUhRAU+lEqRSGWIx4XsupqsSruuQSqVYWDjBxsZd2u0WQQC27RCLiYmm6/okk/oDrVyP\nguAoSQQBn5qLtLGxyX/6T3/JtWtXGQxMarVqSFqedOQPha7rJBIJ7t69QbfbjgxdCoUinU4nDIjX\nopSwfL4Q6ccNo4vv+6yvrwOwubnB6dNn8TyXZDJJPp9DksSBYPQ190PTNKanp/E8h0ajSb9vUigI\ngtu5c+f5h3/4CZ7nMj09RyKRiIr5SIYxeg3lcvlIE4WH5Z5PMMEEE3wdMeIDJZMpZmZmQ68Mh06n\nHRKRZfL5PIlEimw2S6lUZpSmZhga3W6X5eUl7t5dYDCwiMfjKEqMcrkcZWgsLS3zk5/8Pbdv337k\n9Yzg+/6RyqPHRb9v8J//81/hOHZYZxzeeedtBoPBo7/5MfCNLeSGYXD79gY/+tF/5Ze//BX/5J/8\ngO9//9fo9YyxcfhwaGNZVjRSd133iFNSwM2bn5DL5fnww33u3LmDJEkMBia7u+NpZ8lkiuHQYnp6\nhhMnlhgMTPp9E02L43kO5fIJEokk9XoVRYkxNTUd5fc6jrAkHI3SR9aDEwvVCSaY4GmA2HerYc43\nLC2dJJ1OE4/rmGaPWq2Gpgkic6lUYXp6OvpeTVOp1arMzy9SqVTwPIdicQrPs3nhhZcoFisEgYfr\nuiSTaf71v/4jhKzt4fA8byzR7eA090HQtDi2PZ5R0e/3ojUAQKfTpt9/8jH9UfjGFvJms8kf/uEf\n8vOfv0m73eLWrU84c+Yc8fgput0O2WwOx3HQdZ1ezwn15tJDCRKdThsA225G/xYEvbGv+Y3f+Oe8\n/favmJqaCd9MAe12K2TDB6hqjHa7TbvdJJFIUKlUSCaTeJ5Hv9/Htodh1J4Rjc0n0rIJJpjgaYHo\nyBPE4yrDoUWpVEbT4gwGaTKZLEEA5XKFYrE09n2pVJpcLo9lDZidnQ/9zJPIcgrbHtJut5AkcVjI\nZNL8+q//Mz788H1KpRKLiyfJ5dLs7u7zk5/8/djzCle2BkEQPLaBy8iPZDgcL+aFQgHD6IcJbAaD\nweOP+B+Gb2wh/6u/+gt++MMfRr/IW7du8pd/+f/xf/z/7d17bBz1ufDx7+zO7uzO3q/e+H5LHJNA\nmuRwUkhpC6Lh0oqqp6BQCoijti8VFWorVWqroqZq9ar9o6WvjhA6regRUltVgqT0gHojQAnXwiEJ\nhFJyIPfYjr3etb3e+3p25/1j1xtv7BgSJxjbz+evZGdn5mePZ5+d3+V5/s/XAGqF5KvfxiYmJurB\ncmxs7ixsZ3Nmmr1//dctHDt2lGAwgNvtwenUGR0dIh4fJZNJMzg4SD6fJ5PJEQyGCARCWK3Wep3w\n6YxtM489s+KPEEIsZ1arpT50ODk5iWmeXk2kaQ6amprweDyzlt2qqkogEGR0NE5raxuJxAhut47P\nFyIcPj1k6XTqWK0qPT099PR04fP5URQrVquF9vYeKhWD559/ruHY01na3q/pIlYzA7mq2iiXzYaa\n6ucyVj+fZRvIBwaOz/o29Oijj7Bt242sWdOH3a7hcDgxTROfz0cul6NQKLB///4FnTeZTGKz2QgG\ng/j9fjRNo6Wlg1yugNVqJZPJkMmkKRZLNDU14Xa760vhVNXG1FQJRbEQCoUwTZNSqSTj4UKIFWO6\nJ9LhcBKNNlGpVHsyq0uIi9jtNqLR2JxDjl6vF4fDgdfroatrNVZrdUzd7XYB1Fck2WxWAoEAqqri\nclVrXdhsKvl8gQ0bNnPgwJukUue3Fl1RLPT09DAwcJJM5nR5UsOYquUJOd2dXyhI1/q8BgeHZr2W\nTk/yn//5AN/73g9oa2tncjKFw+EkFltFqVSiWCxw4MAbCzqvaVZwudysWtVSK4Ci0NXVRSqVYmDg\nJA6HhePHj6OqKrFYE7qu1/d1Op31Kj7Tf8ySelUIsZJYLNXe0en0q9M9k6pqQ9OqGTO9Xi/lcrlW\nxrlaytkwyui6jtvtZXx8nHC42vU+nQluumfTbrfj8XiYmjKwWKy1hyawWBQcjgLFYomtWz/Gn/70\nxHm13zQrNDXFKBQKs+ZQhcMRrFYLExPVYdpMJntB8q0v20De1dUz5+vPP/8cv/rVL9i+/YsMDQ3g\n8Xi4+upr0bRqcfqXXnphQefVNJ3Oznba29ux2ewYxhR2u0ZfXx/5fI5EYqT2TdBCKFSd6DZN1/WG\nwC6EECvN9DBnpVImFArVJ/0Wi0UymUw9b/l0LfCZMpkMgYCf4eEhdN1FMBjA6/Xj8/lQFAXDKGOz\nqWQymVoZ6GwtsZaGqlqxWBRstmq3+0IEAkHS6fSs11tb23G59Hogz+WyFyS727IN5GdbX10uG/z3\nfz/G0aNHiMdHcLl0urt7WbOmD6Bh/OJchUJhIpEohjHFqlXNOBwapZJCqVRi1arm+lK3YrGEqvoJ\nhyPvqyKbEEKsFNOBfDpD2umxbWe913J64rHb7UZVbdhsttrksTw2mw273Y7P52fDho8wOZmqD7NW\nu9Cr1cfa2zuYmBjH5XIRDAax2arLkRXFwvj4OH19l/C///vP8/oZBgdPzNltPjQ00JBVNJ3OXJC1\n5Ms2kL/99ttn3ZbP59i793/q34QefvghfvCD/7vg2eEtLW34fB4UJUY4HEFVbaiqjVKpRKGQp69v\nLen0JEeOHMIwDDwel3SdCyHEDNOfw4Yxd2UwRak+HFmtKm736Qlvuu4in89TLle72KfTc3s8Xuz2\nYv24U1Ml8vkcPp+P5uZmvF4fxWKxnimzVCoyNDRIR0c7x45V15o7HDp2uw0wGR0dbWiPqtowjMZg\nfOjQ4TnTgJ86NYSmnc4LEo+P1JazLeyBbtkG8vdaej2zO2PXrkf593//CtFo06z3hUIRUqmJ+oVy\nuz1ks5k5xzUCgQB2u53W1g58Pj92ezX1qt1up1gsommOWqpWk3y+UFs/Pn9ZVSGEWEkURamn065+\nbjYGuemlvA7H7NTV0/vpuk4qNUEymURVrbXU1xZMs5rIq1gs4nBoWK3WWUuOA4Egra2thMNh+vvX\nEQwGicWacTpdVCplHnnktw2zzdevX8/rrzdOkj51amjO9N35fKE+VABw4sQxMpkMLpcE8jmdOHH0\nvd9UMz4+xsMP/xebN29ueD0SibB27VrS6Rzp9CRer4f+/ks5efIYzz+/Z9ZxAoEAfX39tdzA9nqX\nkM/nJ5FI1I7ho7m5jVSq2qUjhBCikdvtYWwsSSaTmRXIi8Vq4D0zdTVUn8pLpRJ2uwYojI8nKZfL\nMwqZmJTL1eqSbrcbp1PH5XJht2v1z2uLxcJll23kyJEjpFKTtLV14vf76w+HW7ZcwTPPPFU/Z3Nz\nCwcOvNEQoKemSgwNDc5qn2mWG4Zvjx8/QbFYZKGhYNkG8kzm3Kb1/+EPOzl8+N2G1zZu/Bd6e1eT\nyWRIJuO43X6amqI0Nzfz+uuvk06nGt4fCIRobm6p5dE9/au1Wq14vV5SqQnS6TSGUcJms9f+2IQQ\nQsxkt9vRNI1isUihUGio8FgoFFEUy5zDktWVQhYsFivBYBBVVZmcTNcTwVQqJrruZGqqxNhYEr8/\niNPpZHQ0Xg/EwWCIaDTK2rX9HDt2BJ/Pg8fjqnfNd3f38u677zI0NEAk0kRrays9Pb28++47Z/15\nbDb7rJwjAJOTE/j9/oX+upZvID/X2d+jo3GeeWZ3w2s9Pb10dnYxMjKMw1Gd1T69NGzjxs0891xj\nBqCmpkh94sKZf2ROZ/WPJ5fLoWnVNexz5VAXQggBHo+XYnG0XlvcYrHidDqoVMr1pb1zcTg0ymUD\nj8dLpVJB1w08Hg+67gZMNE0jnU7z1lsHGBo6QTw+TLlcrleUHB4+xdq1/fT2rqG//2htuZq3vn1i\nYoJNmzYRDkfw+bx0dfVy8uTAvIG8mgzGaHhqh+rys2AwyMTEwkquLttA3tzcPOsJ+1xdcsk6Vq/u\nwzCmiMfjuN1ugsEQExPjTEykZgVyn89fX3IwXQRlJq+3ugQimwWrVZUc6kIIcRaqWp3MNj3j3DCm\n6mPTc3WrT9M0R232uophVPOkNzXFGrro7XaNrq5ehodP4fcH0HUnVqtKLpdneHiIgwffZvXqPjo7\nuykU8qjq6c/rYDBMKBTFZrOjaXai0Shtbe3z/ixTU6VZQRxgYmJM1pHPZ/36y2rj2Apwfr+ovr4+\nYrFm0uk0DoejlmzAQzAYZGxsHJvN1rB0wOFw1cqlOs+6rMzj8WK1qpI/XQgh3oPb7cbtdgPVrGzZ\nbAbDMBq62s+kaVqtuqUTu72aH/3M3k9d1wmHq3UuVFWtP907HA6KxQJjY0mOHj3E6tVrKBTyOBx6\nfbhUUayMjVUDcDQaZfXqPkZGRgiHwyQSc6f4PnNW+0ynx+/P37IN5K2tnQSDQcrlcn2c5Vx1dnbj\n8XhpaorVy82l0ylKpSnC4SDr11/K/v37AIhGmwiHg4RC4fdcUiZJX4QQ4txYLBY8Hu97vm961vv0\nk/zZuuF9Pl+9kNX0ZLfp1UyFQp5UapJCoUhHR1fD/pdccgmTkyncbh2/P0ClUqGjo4O+vrUkEuee\nUKyax31hvbPLNpA7nbZa+TsX6fQ4w8PD53yMajL96gXUdZ3JyRSmCbruJBSKsGnT5Rw48AblcplI\nJEw4/N5BXAghxMWlaY56ID9bN7yqVuuUN+5XfZqPRKKkUilGR0fqq4tmlpXu6OjAYrGgaXZGRobx\n+4O0t3fx4osLywx6vpbtIO26dRvo7+9H150oinJe49Ezv4UVCgWy2SxTUwZutwePx01fXz9r1qyp\nZQaK4PeH5jmaEEKID8LMrvdzzZ6p6zqxWAyPx0symaRQyFOpVOpVKstlg2AwTFtbe31tumEYtLS0\nnldbZYx8HqOjw4yOjpLNZmrF6lUMY/aswbNxubwMDQ2SzeawWqsXq1DI4/P5axVtFCKRMBs2bKRQ\nKOLxnB7LEUIIsXgsFkv98/h8HuKqQ6pNFIsF0ukMHs/pUqamadbmS7kZGDhZW8lkpaurk9bWdgYG\nTpzTuard+QubM7VsA3mlYmKxWAiHQxSLHtLpNIqiUC6X31eS+qamKInEaG1NooVKpYLL5apPcqhU\nTDTNQXt7J2+//TY+XwCn8+wTMIQQQnxwZqZvPR8dHZ2cOjXE8PAQZ47MhsNRymUDVbXidnsxzTI+\nX4i+vrXE43EikTBTUwbxeOOO05nnZjp16hSxWOeC2rpsA3lTU4zLL7+caLSZQqFIPB6vV7rJ5XKo\nqp1cLnPW/ZubV9Ha2lafXFGpVBgcHODEieOYZgXThEwmTTQaw+fz4vNVZ6MLIYRY+ux2O2vX9tfL\nXU930R8+fIjx8QR2uxOHw0FHRzsnTpzA5XLS1tbGmjW9dHZ2MzVl8Ne//qnhmF6vj7GxCSqV07PY\nDxw4IIH8bPr7LyES+Qpud5h0Os2+ff/D66/vx2534HK58fn8jIyMkEyOzrl/d3c3gUCwPn6RyWQ4\nePAt4vFh2traGRsbJ51OYbVaUVUbgUBIlpQJIcQyEo02zarBoaoqb731D/L5LMFgGI+n+iCXy2Vp\na+vk+PFjNDe3UqnMXlbmclUzxI2MnH5Sf+qpp9i27aYFtXPZBnKHw8HGjRuJxydxOp187nO31AJ3\nArfbRWtrO+n0JMnk3Pt3dPQwMHCCRCKJxaIwMZFiYGAAVbXVutrLJJPjOJ06TqeO1+uTQC6EEMtc\nIBCkra2dZDJBLBZDURQCgRCJRIJQKEBrazs+n2/OoimFQolyuXFy2969exfcpmUbyKFaiD6RSFAu\nG1xxxZUcO3aIP/7xj+Tz+Vpu3bPPFiyXKxw4cIBSqYjVaiGTyVEqlYhGmwgEQkxNGbzzzkFU1YKm\nOQkE/BLIhRBiBWhpacXp1AmFqiuVXC4XmubA5/PT1dVFNBrD7/fT3t7BiRPH6/vF4yPYbI1x4tCh\nQwtuz7JdflYsFkkmk5TLBoqiYLVauemmz/Pxj3+SUCiEz+dH086+5tswSkxNlXA6dRwOHafTTigU\noqOji97eXrq6umsz2LPYbCpeb0BSrgohxAqgqirRaLT+8KYoCh6PG7/fTzgcIRKJ0t3dzfr1lzXs\nZ5rlWZPdppONLag9Cz7Ch5SqqmiaFas1Ty6XwzAMwuEw//Zvn8flcmOaZUyzzJEjR+bcP5/PY7Eo\n2O02FMWCrrsJh5vo6enB6/Vhs9mJxVaRSIyiqiqBgO8D/gmFEEJ8WHg8Xmw2O2vWrKWtrR2r1UJf\n3yU8/fTueunVi2XZBvJKpUI+XyCZTNay87ixWlV6etZw/fUWTBOcThcvvvj8nMvRCoUcXq+fcDiM\nolgxzQqhULg+i93pdNLb28uxY0col00CAUkGI4QQK5Xb7cFut5PL5SmXDbLZIm1tbXR0dDE+PkY6\nncIwyvPmXT9fyzaQG4bBsWOHOHp0gHy+gNOZrtUAt7Fu3aX1LD0PPPD/6mXyZrLZNFavXoPP58di\nqSaE0TSN8fGx2hp1hUgkRnt7JxMTE3i9750DWAghxPJUrdbmrneVx+MjKIpCd3cP+XyMQqFIIjHK\n0NAg+Xyuvp/UI59HOj3JyMgI2WyWXC5PNpshFIoA1XR6brebcrmM2+1hYmICh0NrKKzi8XiJxVY1\nTGBLpSYolUooioJhmGianUgkis1mw+E4tzSAQgghlhe320sul6s9HJo4nQ66uroYHR0hFIoSjUZ5\n880D/OEPO+v7BIPBBZ932Qby6hi5hsPhxDBKtaVnSbzerlo98XFMs0JLSwujoyPouhvTNCkWiyiK\nhUAg0BDEC4UC+XweVbURCoXIZrNkMmnWrFlLqVTEYpEZ60IIsZJ5vV7i8WFKpRIulwenU6e5uQVQ\nmJycwOt1Ewo1Bu7W1vPL0T7TMp5mXZ2prus6gUCISgWGh09RqVTw+fwEgyFWr+7jkksuxWJRsdlU\n3O7qhDVddxIMhkilJhgZGWZkZIRUagJFUfD7qxXRdF2v1by14/F4ZOmZEEKscE6nE7fbjddbXYbm\ndDrx+Xx0dnahqiq5XAGHw9mwz0c+8pEFn3fZPpHbbDYikQjhsB3DMEgkEoyMxDl8+B2uuOJjRCJR\nCoUCV199NU888XsMYwpd10kmq8XsHQ57bea6tZ5r3ePxoKrVX5nFYsHpdJLLVcc6JJALIcTKpigK\nnZ3dKIpSW5LmZXJyknA4Wq+iVio1zmC/ELFj2QZyXdfp6+sjmy1TLpdrudYzDA0N8uabr9PS0k4i\nMYppmoTDESYmJigWq13k1aVmUbxeH7quz3MOlwRyIYQQdTPziYTDIZLJUcLhMKVSkUwmQzo92fB+\nmew2D6vVis/noVRKY7PZ6OrqZmwsycDACU6cOEE2myOfz5LPF9m4cTN79+4ll8ugqioejxev14fT\n6Zz3HKqq4nQ6KZfLDbXLhRBCCL8/iN1uB2DdukupVAzS6cZiXeXy7Jzs52rZBvJp2WyWfD6P3++n\np2c1+Xy+9o3IxG53MDx8Cp/Pz+bN/8Lrr+9nfHyccDiCz+d7X8HZ51v4tykhhBDLj8fjweVyUSqV\naG1txWq1ksk0BvKDBw8u+DzLdrJbuVxmdHSUdHoSw5gil8vR0dFBe3s7gYAfVbWh6y4UxYKm2fD5\nfLS2tuDxuFm1alX9W5QQQghxPiwWC6FQBIdDI5vNAtVh3+kc7QAvvvjiws+z4CN8SBmGwdTUFE6n\ns9b9Xc3e1tu7mlismUAgSHNzC9FoDNM00XUdm82Gzxegra2lPqlNCCGEOF+x2CoABgcHqVQqWCwW\n1q+/tL59cHBwwedYttFK0zTC4RCJRIZKpUKhUCSbzRAMhlizZi0WiwWHw0EulyGdTmMYU8Riq5ic\nTNPR0Yuqnr2gihBCCPF+6LpOOBwmkUhw6tQQgUCQ7u417Nnz7AU7x7IN5EB9jNtiseDxeJicTJHJ\npBvqxHZ39zI2NkY6ncE0QVVtrFoVkydyIYQQF0RT0yomJiZJJhMkkwkcDscFPf6HIlr96le/4okn\nnsBms7Fjxw7Wr19/wc+h6zqFQp5isUg2m8XlcjE1NYXX66O7u5d4PI6m2bHZbIRCYQnkQgghLgir\n1Up7ezvJZAKr1UJzc+yCHn/Ro9WhQ4f485//zGOPPcbBgwd5+umnL0ogh+oM80QiQSaTplAoMDVV\nQlEstLa2EQyGmJxMEY+PvO8Z60IIIcT74Xa7cbvdAHR2dl/QYy96IP/b3/7GDTfcgKIo9Pf309/f\nf9HOZbVa8fv9jI+PMTVVwmpVKZcNDGOKcDhcz9ymaVIARQghxMXR0dF1QY+36IF8cHAQq9XKl7/8\nZcrlMt/+9rdZu3btRTufpmkEgyEURUFVVRKJBLlcDqezmjvdbrdLt7oQQoiLpqvr9BN5NBpd8PE+\n0Ij16KOPsnPnznq3tWmaJJNJrrrqKv2eUB8AAAcDSURBVB566CH27t3Lfffdx86dO9/jSAszc424\n1+tlfHyMVCqF3V6dqW61SiAXQghxcWiaRldXN0ePHuH6669f8PEU0zTNC9Cu8/bAAw/Q3d3NjTfe\nCMCVV17JSy+9tJhNEkIIIZaMRU8Ic9VVV/H8888DcPjwYWKxCzubTwghhFjOFr0PecOGDTz33HPc\neuutAOzYsWORWySEEEIsHYvetS6EEEKI87foXetCCCGEOH8SyIUQQoglTAK5EEIIsYQtu0D+yiuv\ncOWVV7Jnz545tz/++OPcfPPNbN++/aKvVxdzMwyDb33rW9x2223ccccdDAwMzHrPunXruPPOO7nj\njju48847kakcH6wf//jH3HrrrXzhC1/gzTffbNj20ksvccstt3Drrbfy4IMPLlILxbT5rtU111zD\n7bffXr+P4vH4IrVSHDx4kE996lP89re/nbVtwfeUuYwcP37c/NrXvmbee++95rPPPjtrey6XM6+7\n7jozk8mYhULB/MxnPmOmUqlFaOnK9thjj5k//OEPTdM0zRdeeMH8xje+Mes9H/3oRz/oZomaV199\n1bz77rtN0zTNQ4cOmdu3b2/YfuONN5rDw8NmpVIxb7vtNvPQoUOL0Uxhvve1uuaaa8x8Pr8YTRMz\n5HI586677jJ37Nhh/uY3v5m1faH31LJ6Io/FYjzwwAO4XK45t7/xxhtcdtlluFwuNE1j06ZN7Nu3\n7wNupXj55Ze59tprgWoCoLmugSlP4Itm5vXp6elhcnKSbDYLwMmTJ/H7/TQ1NaEoCp/4xCf4+9//\nvpjNXdHmu1ZQvY/kXlp8mqbxi1/8gnA4PGvbhbinllUgn5l6dS6JRIJgMFj/fzAYZHR09GI3S5xh\n5nVQFAWLxYJhGA3vKRaL9e73hx9+eBFauXKdeZ8EAgESicSc24LBoHTXLqL5rtW0HTt2cNttt3H/\n/fd/0M0TNRaL5azx6ULcU4ueEOZ8zczbbpomiqJw7733snXr1vd9DPmmevHNlV//wIEDDe+pVCqz\n9vvOd77DTTfdBMAXv/hFLr/8ctatW3fxGyxmme8+kXvow+XM6/H1r3+dq666Cr/fzz333MOTTz7J\ntm3bFql14v04n3tqyQbyW265hVtuueWc9olGow1P4CMjI2zcuPFCN03MMNd1+u53v0sikaCvr6/+\nJH5mxbnt27fX/33FFVfwzjvvSCD/gESj0Yanung8TiQSqW878x66ENWbxPmZ71oBfPazn63/++Mf\n/zjvvPOOBPIPmQtxTy2rrvWZ5vpWs2HDBv7xj3+QyWTIZrPs37+fzZs3L0LrVratW7fyl7/8BYBn\nnnmGLVu2NGw/evQo99xzD5VKhXK5zP79++nt7V2Mpq5IW7du5a9//SsAb731Fk1NTei6DkBLSwvZ\nbJahoSEMw+DZZ5/lYx/72GI2d0Wb71plMhluv/12isUiAK+99hqrV69etLaKuV2Ie2pZpWjdvXs3\n//Ef/0E8HsflchEIBNi1axe//OUv2bJlCxs2bODJJ5/koYcewmKxcMcdd/DpT396sZu94lQqFb73\nve9x/PhxNE3jJz/5CU1NTQ3X6Wc/+xkvvvgidrudq6++mrvvvnuxm72i3H///bz66qtYrVa+//3v\n889//hOPx8O1117La6+9xk9/+lMArr/+eu66667FbewKN9+1+vWvf82uXbtwuVz09/dz3333LXZz\nV6Q33niD++67j7GxMaxWKz6fj89//vO0trZekHtqWQVyIYQQYqVZtl3rQgghxEoggVwIIYRYwiSQ\nCyGEEEuYBHIhhBBiCZNALoQQQixhEsiFEEKIJUwCuRBCCLGESSAXQgghljAJ5EKIs3rqqae47rrr\n+MpXvsLY2BgjIyNs27aNH/3oR5w8eXKxmyeEQDK7CSHew65du3j66ad58MEH2bdvH6ZpSo0CIT5E\n5IlcCDGvG264gddee42XX36ZyclJCeJCfMhIIBdCzEvXdbZt28bjjz/OJz/5yfrrhw8fZvfu3fz8\n5z8nm80uXgOFWOEkkAsh5lUoFPD5fOzbt6/h9d27d9Pf38+GDRvYs2fPIrVOCCGBXAhxVqZp8sgj\nj/DNb34TXdd55ZVX6tu++tWv0traSiKRIBaLLWIrhVjZJJALIc7qd7/7HZ/73OdQVZWbb76ZRx55\npGF7oVAgk8mwadOmRWqhEEICuRBilj179vClL32Jffv24fF4AIjH4zz11FM8/PDD9fe98MIL3HXX\nXbIUTYhFJMvPhBDn5fe//z07d+7E4XBw9913s2XLlsVukhArkgRyIYQQYgmTrnUhhBBiCZNALoQQ\nQixhEsiFEEKIJUwCuRBCCLGESSAXQgghljAJ5EIIIcQSJoFcCCGEWMIkkAshhBBLmARyIYQQYgn7\n/1XQ77VFPz3/AAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f66be263e10>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots(figsize=(8, 6))\n",
"\n",
"ax.plot(ice_df.index, ice_df.icol(slice(0, N, 200)), c='k', alpha=0.1,\n",
" label='Individual conditional expectation');\n",
"ax.plot(pdp.index, pdp, c=red,\n",
" label='Partial dependence plot');\n",
"\n",
"ax.set_xlim(-1.05, 1.05);\n",
"ax.set_xlabel('$X_2$');\n",
"\n",
"ax.set_ylim(-6, 6);\n",
"ax.set_ylabel(r'Partial $\\hat{y}$');"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 2",
"language": "python",
"name": "python2"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 2
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython2",
"version": "2.7.6"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
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