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004_comission/Man1130/jupyter/Man1130-python-comission/tryout/jupyter-shap-helloworld/helloworld.ipynb
louiscklaw fc6f79b133 update,
2025-01-31 20:57:47 +08:00

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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"id": "5c3aabd7",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<style>#sk-container-id-1 {color: black;background-color: white;}#sk-container-id-1 pre{padding: 0;}#sk-container-id-1 div.sk-toggleable {background-color: white;}#sk-container-id-1 label.sk-toggleable__label {cursor: pointer;display: block;width: 100%;margin-bottom: 0;padding: 0.3em;box-sizing: border-box;text-align: center;}#sk-container-id-1 label.sk-toggleable__label-arrow:before {content: \"▸\";float: left;margin-right: 0.25em;color: #696969;}#sk-container-id-1 label.sk-toggleable__label-arrow:hover:before {color: black;}#sk-container-id-1 div.sk-estimator:hover label.sk-toggleable__label-arrow:before {color: black;}#sk-container-id-1 div.sk-toggleable__content {max-height: 0;max-width: 0;overflow: hidden;text-align: left;background-color: #f0f8ff;}#sk-container-id-1 div.sk-toggleable__content pre {margin: 0.2em;color: black;border-radius: 0.25em;background-color: #f0f8ff;}#sk-container-id-1 input.sk-toggleable__control:checked~div.sk-toggleable__content {max-height: 200px;max-width: 100%;overflow: auto;}#sk-container-id-1 input.sk-toggleable__control:checked~label.sk-toggleable__label-arrow:before {content: \"▾\";}#sk-container-id-1 div.sk-estimator input.sk-toggleable__control:checked~label.sk-toggleable__label {background-color: #d4ebff;}#sk-container-id-1 div.sk-label input.sk-toggleable__control:checked~label.sk-toggleable__label {background-color: #d4ebff;}#sk-container-id-1 input.sk-hidden--visually {border: 0;clip: rect(1px 1px 1px 1px);clip: rect(1px, 1px, 1px, 1px);height: 1px;margin: -1px;overflow: hidden;padding: 0;position: absolute;width: 1px;}#sk-container-id-1 div.sk-estimator {font-family: monospace;background-color: #f0f8ff;border: 1px dotted black;border-radius: 0.25em;box-sizing: border-box;margin-bottom: 0.5em;}#sk-container-id-1 div.sk-estimator:hover {background-color: #d4ebff;}#sk-container-id-1 div.sk-parallel-item::after {content: \"\";width: 100%;border-bottom: 1px solid gray;flex-grow: 1;}#sk-container-id-1 div.sk-label:hover label.sk-toggleable__label {background-color: #d4ebff;}#sk-container-id-1 div.sk-serial::before {content: \"\";position: absolute;border-left: 1px solid gray;box-sizing: border-box;top: 0;bottom: 0;left: 50%;z-index: 0;}#sk-container-id-1 div.sk-serial {display: flex;flex-direction: column;align-items: center;background-color: white;padding-right: 0.2em;padding-left: 0.2em;position: relative;}#sk-container-id-1 div.sk-item {position: relative;z-index: 1;}#sk-container-id-1 div.sk-parallel {display: flex;align-items: stretch;justify-content: center;background-color: white;position: relative;}#sk-container-id-1 div.sk-item::before, #sk-container-id-1 div.sk-parallel-item::before {content: \"\";position: absolute;border-left: 1px solid gray;box-sizing: border-box;top: 0;bottom: 0;left: 50%;z-index: -1;}#sk-container-id-1 div.sk-parallel-item {display: flex;flex-direction: column;z-index: 1;position: relative;background-color: white;}#sk-container-id-1 div.sk-parallel-item:first-child::after {align-self: flex-end;width: 50%;}#sk-container-id-1 div.sk-parallel-item:last-child::after {align-self: flex-start;width: 50%;}#sk-container-id-1 div.sk-parallel-item:only-child::after {width: 0;}#sk-container-id-1 div.sk-dashed-wrapped {border: 1px dashed gray;margin: 0 0.4em 0.5em 0.4em;box-sizing: border-box;padding-bottom: 0.4em;background-color: white;}#sk-container-id-1 div.sk-label label {font-family: monospace;font-weight: bold;display: inline-block;line-height: 1.2em;}#sk-container-id-1 div.sk-label-container {text-align: center;}#sk-container-id-1 div.sk-container {/* jupyter's `normalize.less` sets `[hidden] { display: none; }` but bootstrap.min.css set `[hidden] { display: none !important; }` so we also need the `!important` here to be able to override the default hidden behavior on the sphinx rendered scikit-learn.org. See: https://github.com/scikit-learn/scikit-learn/issues/21755 */display: inline-block !important;position: relative;}#sk-container-id-1 div.sk-text-repr-fallback {display: none;}</style><div id=\"sk-container-id-1\" class=\"sk-top-container\"><div class=\"sk-text-repr-fallback\"><pre>LinearRegression()</pre><b>In a Jupyter environment, please rerun this cell to show the HTML representation or trust the notebook. <br />On GitHub, the HTML representation is unable to render, please try loading this page with nbviewer.org.</b></div><div class=\"sk-container\" hidden><div class=\"sk-item\"><div class=\"sk-estimator sk-toggleable\"><input class=\"sk-toggleable__control sk-hidden--visually\" id=\"sk-estimator-id-1\" type=\"checkbox\" checked><label for=\"sk-estimator-id-1\" class=\"sk-toggleable__label sk-toggleable__label-arrow\">LinearRegression</label><div class=\"sk-toggleable__content\"><pre>LinearRegression()</pre></div></div></div></div></div>"
],
"text/plain": [
"LinearRegression()"
]
},
"execution_count": 1,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"import pandas as pd\n",
"import shap\n",
"import sklearn\n",
"\n",
"# a classic housing price dataset\n",
"X,y = shap.datasets.california(n_points=1000)\n",
"\n",
"X100 = shap.utils.sample(X, 100) # 100 instances for use as the background distribution\n",
"\n",
"# a simple linear model\n",
"model = sklearn.linear_model.LinearRegression()\n",
"model.fit(X, y)"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "e3674b12",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Model coefficients:\n",
"\n",
"MedInc = 0.45769\n",
"HouseAge = 0.01153\n",
"AveRooms = -0.12529\n",
"AveBedrms = 1.04053\n",
"Population = 5e-05\n",
"AveOccup = -0.29795\n",
"Latitude = -0.41204\n",
"Longitude = -0.40125\n"
]
}
],
"source": [
"print(\"Model coefficients:\\n\")\n",
"for i in range(X.shape[1]):\n",
" print(X.columns[i], \"=\", model.coef_[i].round(5))"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "dda988c5",
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"<Figure size 640x480 with 4 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"shap.partial_dependence_plot(\n",
" \"MedInc\", model.predict, X100, ice=False,\n",
" model_expected_value=True, feature_expected_value=True\n",
")"
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "2fc63bab",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 640x480 with 4 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# compute the SHAP values for the linear model\n",
"explainer = shap.Explainer(model.predict, X100)\n",
"shap_values = explainer(X)\n",
"\n",
"# make a standard partial dependence plot\n",
"sample_ind = 20\n",
"shap.partial_dependence_plot(\n",
" \"MedInc\", model.predict, X100, model_expected_value=True,\n",
" feature_expected_value=True, ice=False,\n",
" shap_values=shap_values[sample_ind:sample_ind+1,:]\n",
")"
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "d88f5cd9",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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uTrt371Z4eLinywEAwC/Z1RPTokULLVu2TAUFBTKZTBo+fLiefvpp3XXXXa6uDwBQAZPFqpPpherSlE3qUHfVaI1dUFCQmjVrpmHDhql79+5q3ry5q+oCAFSish14gbrGruEk1AzDSQBcxWSxqvdfLpXb9+XL6TH0yKDOYbcjAPABKaYC7UzJU6P6Ygde4L8IMQDg5Z5IuqqPT+SWvDZI+nkXOjvwoq5y6ABIAIB7pJgKSgUY6acAE/Tf797swIu6jOgOAF6oePXRoXO5Fd6f0Sdcva4L0fXRrE5C3UWIAQAv8/PVR4GGituM6FJfHaKC3FsY4GVqPZx09uxZJScnKycnxxn1AECdZrJYSwKMJBXayn+jHtm1HgEGUC16Yvbu3atFixbp4sWLkqQ333xTPXv21NWrVzVx4kTNnDlTgwYNclqhAODvTBar3j96rdzqoyJJC4dEKiPXpoEdQtSRAANIcrAn5vDhw5o1a5YiIyM1efLkUkcQNG7cWK1atdKOHTucViQA+LsNyWb1/ssl/Wl3Vrl7IUZpUMd6mtIrnAAD/IxDIWbFihXq3Lmz1qxZowcffLDc/RtuuEHffPNNrYsDgLqg7BDSz7H6CKicQ8NJJ06c0NSpUxUQUHEGiomJ0ZUrV2pVGADUFSfTCysMMM8NaKDR3euz+giohEM9MUVFRQoODq70fkZGhoKC6PIEAHt0aRqo4DI5JcQoPUCAAarkUIhp166d/vWvf1V6f+/evercubPDRQFAXRIVatTcQZEK+W9eYQgJsI9DIWbkyJH69NNP9dFHH5VM6jUYDMrNzdXChQt19OhR3X///Q4VdOrUKW3cuLHS+xs3bmS+DQC/M/bmMH05PUbvjonSl9NjOJUasIPDp1j/4Q9/0Pbt2xUWFiaLxaJGjRopIyNDRUVFGj58uJ5//nmHCnr66adVUFCgJUuWVHg/ISFBQUFBWrhwoUPPdwdOsQZQVvEBjoM6skQacBaH94l58cUXNXDgQG3dulXfffedbDabunXrpvj4eN19990OF3TixAk9/PDDld6/9dZb9be//c3h5wOAu0390KTtp/MkSX/a/dNmdUuGN/ZsUYAfqNWxAwMGDNCAAQOcVYuknyYFR0ZGVno/IiJCGRkZTn1PAHCVV/dllgSYYh+fyNUTdxTQIwPUktedndS4cWOdOXOm0vupqalq0KCBy95/586d2rp1q06dOqWsrCy1bt1aDz/8sEaMGCGDoZJDTACgAimmAi3Zb67w3mepeYQYoJYcCjHLly+vto3BYNCkSZNq/OxevXrpo48+0qhRo9ShQ4dS986cOaOPP/7Y6b0/P7dhwwY1b95cCQkJatSokQ4ePKj58+fr0qVLmjJlisveF4D/MFmseuOLHL3zL7Mqm3R4d4cQt9YE+COHJvb27Nmz8gcaDLLZbDIYDDp06FCNCzp37pzGjh2rwsJCjRgxQrGxsZKkb775RomJiQoKCtI777yj1q1b1/jZ9sjIyFDDhg1LXZs/f7527NihXbt2VbrB388xsReouzYkm/XCJ5kqKKq8zZDOIVp6f5T7igL8lEM9MYmJieWuWa1WnTt3Tu+++65ycnI0d+5chwpq1aqV3nrrLc2dO1cffPBBqXvt27fXCy+84LIAI6lcgJGk2NhYffjhh7p27ZrCwlj2CKBixccHVBZgAiQ93jdMT/WrfN4fAPs5FGKaN29e4fVWrVrp9ttv1+TJk5WUlKQZM2Y4VFTXrl1L9oM5e/asJKl169Ye20AvOTlZTZs2JcAAqFRlJ1AXCwqQtk+MZh4M4EROn9hrMBh09913a926dQ6HmGKxsbElw0mekpycrB07dighIaHSNvn5+crPzy95bTZXPJEPgH/akGyu9ABHSQo2SnMHRRJgACdzyeqkgoICZWZm1vo5ubm5lS6nbtasWa2fX51Lly5pzpw56tGjh8aMGVNpu9WrV9s12RmAfzFZrDp4Nq/SOTDBAdIvbw3TjD7hnIEEuIDDO/ZW5sSJE5o1a5YaNWqkDRs21Pjri4qK9M477+i9996TyWSqtJ0jk4ZrIjs7W5MmTZLBYNCKFSuqnKBbUU9MfHw8E3sBP1bdBF5OoAZcz6GemJEjR1Z4PTMzUxaLRUajUb///e8dKuj111/X+vXr1b59ew0cOLDKje9cJTc3VwkJCcrJydHq1aurDSLBwcFVnuoNwL+YLFb9YUemrJX8CFh8AjUHOAKu5VCIiYmJKbfxm8FgUGxsrNq0aaP7779fLVq0cKigbdu2qU+fPpWeneRqhYWFmjNnjtLS0rR8+XI1bdrUI3UA8F4Hv8+vMsBwAjXgHg6FmGXLljm7jhLZ2dm66667XPb86ixYsEB79+5VQkKCzGazjh49WnIvNjaWHhegjjJZrDqZXqguTQMlQ8UJJqFfuB69JYwhJMBNvO7YgQ4dOujKlSsee/8DBw5Ikv7v//6v3L3ExESHe5gA+K6frz4KNkqz+kfIaFCp3pjAAOmxW8LogQHcyOtCzJQpU/Tiiy9q5MiRblmBVFZSUpLb3xOAdzJZrDr4fX6pCbz5VumVz7M1Oy5Ciz7PLgk2cxlCAtzOrhDTs2fPGh9+aDAYdPDgwRoXdPLkSTVr1kwPPfSQ4uLi1LJly3Jb/Tt6LhMA2KuqvV/yrFL3mGAdmB6jU5cLdX10IENIgAfYFWLi4+PddoLzz+fbbNu2rcI2hBgArlR8fEBlm9eFGKUu0YFqHGpU3zaEF8BT7Aoxjp6D5IiKzmUCAHcxWaxa+09zlQGG1UeAd/C6OTGVncsEAK62Idlc6f4vwQHS6yMaqed1wQwdAV7C60IMAHhCiqmgygAz955IDY6t7/7CAFTK4RCTnJysNWvW6NixY8rOzlbZ0wtqMrF3/fr1NXpvg8GgsWPH1uhrAKAiJotVCz/P1ntfW1TJCQJaMqKRhhBgAK/jUIg5cuSIpk+frvDwcHXv3l379+9Xz549ZbFYdPz4cXXs2FHXX3+93c977bXXavT+hBgAzvD2oWz9eXe2iqo4QS44QLr9Oja5BLyRQyFm1apVatKkidatWyeDwaB77rlHEyZMUM+ePXXgwAHNnj1bs2fPtvt5S5cudaQMAHDYq/sy9dp+c5VtAg0/DSMxiRfwTg6FmOPHj2vs2LFq1KiRMjMzJf10+rQk9e7dW0OHDtXSpUvtDie33XabI2UAgEMW78uqMsAEGKSXB0dqYMd6TOIFvFhA9U3Ky8/PV3R0tCSVnCVksVhK7nfu3FknT550QnkA4FxvH8rW/+3PqbLNnLgIPXgjZyAB3s6hnpgmTZooPT1dklS/fn1FREQoNTVVAwYMkCSlp6crMNC+R2/evNmREjRs2DCHvg5A3WWyWPXynuxK7wcYpN/FRWhKrwg3VgXAUQ6FmK5du+rrr78ueX377bfr3XffVbNmzWSz2bRx40Z169bNrmfNmzdPBoOh1Oqmn+8OXHy97I7BhBgANWGyWPX+0WsqrGQJkkHSJ7+KVseoILfWBcBxDoWYkSNHavPmzcrNzVW9evU0Y8YMJScna968eZKkqKgoPfHEE3Y9q+y8mcLCQr3++uvKzMzU6NGj1a5dO0nSmTNn9Pe//10NGzbU448/7kjZAOogk8WqN77M0boj5pJDHMsKMEgv3RtJgAF8jMFWdoMXB127dk2HDh2S0WjUzTffrPDwcIees3TpUn322WdavXq1wsLCSt3LycnRhAkTNGjQIE2dOtUZZbtETk6O4uLitHv3bod/HQDU3oZkc6kTqMsKDJAeuiFUs/pHMP8F8EFO27G3fv36uuuuu2r9nKSkJI0ZM6ZcgJGk8PBwDR8+XBs3bvTqEAPA8w6fy6t0B15Jem5AA43uXp/wAvgwh1YnjR07Vn/729+UkZHh5HKkjIwMWa2VnLymn5Zy//jjj05/XwD+Y+qHJo3eYKo0wIQYpQcIMIDPcyjE/Pjjj3rllVc0ZMgQPf300/rss89UWFjolILatGmjjz76SFlZWeXuZWZm6sMPP1Tbtm2d8l4A/M/8XZnafjqv0vvBAZxCDfgLh+bE2Gw2HTx4UFu2bNGePXuUm5uriIgI3XvvvRo2bJjdK5Mqsnv3bv32t79VZGSkRowYoTZt2kiS0tLSlJSUpKysLC1YsEBxcXEOv4erMScG8Iy3D2Xrj7sqXkJtNEjjbwvTjD7h9MAAfqLWE3uvXbumTz/9VFu2bNGRI0dks9nUunVrDRs2TOPHj3fombt27dKiRYtK9qIp1rRpUz311FO6++67a1OyyxFiAPcyWaw6eDZPMz/OqHQI6e9jo3RbqxD3FgbApZy2OkmSLl26pK1bt2rt2rW6du2a3adYV6SoqEgnT57U+fPnJUktW7ZUly5dFBDg0AiYWxFiAPfZkGzW3J2Zyq98Kp2GdA7R0vuj3FcUALdw2uqkc+fOacuWLdq2bZvMZrPdO/ZWJiAgQN26davV0BQA/5ZiKtDzn2RWuoGdJE3pFabnBkS6rygAblOrpJGTk6MdO3Zoy5YtOnr0qGw2mzp16qSEhAQNGTKkVoUdOXJEBw4c0NWrVzVu3Di1bdtWFotFp06dUqdOnRQRwbbgQF329qFs/Xl3tooq6UsOCpCeuStCUzlCAPBbDoWYvXv3asuWLdq7d6/y8/PVuHFjjRkzRsOGDVPnzp1rVZDVatXvf/97ffrpp7LZbDIYDLrvvvvUtm1bGY1GzZo1S+PGjdPEiRNr9T4AfFdVE3iDjdKSEY3Uq1UwE3gBP+dQiHnqqacUHBysO++8U8OGDVOfPn1kNDrnm8XatWv12Wef6cknn1SfPn304IMPltwLCQlRXFyc9u/fT4gB6qDiCbwLdlccYIICpLmDIjWkc303VwbAExwKMbNnz9Z9993nkiGdLVu2aOjQofqf//mfCjfTa9eunfbv3+/09wXg3aqbwGs0SNsncoAjUJc4tNTngQcecNmclIsXL+rGG2+s9H5ERISysyv+KQyAfyqewFvVCqTfxUUQYIA6xmmrk5wlNDRUmZmZld4/e/asGjVq5MaKAHiKyWLVws+z9d7XFlW2AKl4Au8UJvACdY7XhZibb75Z27Zt02OPPVbuXlZWlhITE9WnTx8PVAbAnaqavCsxgReAg8NJrjRx4kSdPXtW06ZN0759+yRJp0+f1qZNmzRu3Dhdu3bN4Z2AAfiG6gLMzyfwEmCAusupO/Y6y759+/Tiiy/q6tWrkiSDwSCbzabGjRtr3rx56t27t4crrBo79gKOM1ms6vnGpUqPDzAapB2/YgIvAC8cTpKkfv36KSkpSQcOHFBaWlrJeUx9+vRRvXr1PF0eABcxWax6/+i1SgOMxAReAP9fjUJMYWGh9uzZo7Nnz6phw4aKi4tTw4YNXVJYcHCw+vfvr/79+7vk+QC8R4qpQAs/z9bO/+SqsIoAM7VXGBN4AZSwO8RkZWVp6tSpSk1NLdlJ9/XXX9cbb7yhLl261KqIadOm1ai9wWDQW2+9Vav3BOAdJrx/RZ+dya+23eDOIXqWM5AA/IzdIWblypVKSUlRv3791KdPH33//ffatGmT5s+fr/Xr19eqiH/+858KDAxUUJB9XcQGg6FW7wfAOwxbk66jlworvT+lV5hCgwwa3qU+Q0gAyrE7xOzdu1d9+vTR4sWLS641b95cr732mi5duqSYmBiHizAajbLZbOrVq5eGDx+uO++8UwEBXrdwCoCTmCxWxS27pKy8ytuEGKVf3x6uxqw+AlAJu5PCpUuX1Ldv31LX+vfvL5vNposXL9aqiG3btmnmzJk6e/asnnnmGQ0ZMkRLlixRWlparZ4LwPtsSDbrtjeqDjBBBumFQZEEGABVsrsnJj8/X5GRpceji48eKCgoqFURjRo10rhx4zRu3DgdO3ZMiYmJ+vDDD7V+/Xp169ZNI0eO1L333qvQ0NBavQ8Az0oxFejZf1S+I7ckRdWXPpkUw/4vAKrllDEbZ85R6d69u5599llt375d8+bNU/369fXHP/5RgwcP1tatW532PgDc6+1D2bp7xeVq260YHUWAAWCXGi2xXr9+vf7xj3+UvLZarTIYDPrLX/5SrpfGYDDo1VdfdbiwkJAQDRkyRM2bN5fBYNChQ4d0/vx5h58HwHNe3Zep1/abq213U/NA3doyxA0VAfAHNQox33zzjb755pty148ePVruWm16Z65cuaLNmzcrKSlJZ8+eVXR0tMaPH6/hw4c7/EwAnjFr61W9fzS3yjatIqTXRkSpRysCDAD72R1ivvrqK1fWocLCQu3evbtkp16j0aj+/fvrqaeeUp8+fVitBPgYe1YgSVJsE6N2/Mrx1Y0A6i6vOHZg4cKF2r59u7Kzs9WxY0c9+eSTGjJkSLkhKnc5e/as1q1bp2PHjik1NVVt2rTRxo0bPVIL4Is2JJurncArSb+8pb5eureRGyoC4I+cHmJMJpM2b96szZs36/3337frazZu3KiQkBDdd999io2NVWFhoZKSkiptbzAYNHbsWGeVXE5qaqr279+vbt26qaioSEVFRS57L8DffJpyTc9VE2AMkuYMiNBUjhAAUAtOCTFFRUXau3evPv74Y33xxReyWq01Xg6dl5en7du3a/v27dW2dXWI6d+/v+Li4iRJc+fO1YkTJ1z2XoC/MFmsuv+ddH2XWcXhR5Li2gXr1WGNWIEEoNZqFWLS0tKUmJiorVu36urVq4qIiNCQIUN099136/bbb7f7OUuXLq1NGU7H/BugZjYkm/X7f2Squj7L6DBp7UNN3FITAP9X4xBz7do17dixQ4mJiTp69KiMRqNuuukmXb16Vc8995wGDhxY4yJuu+22Gn+NN8nPz1d+/v8/wM5srn4pKeAvUkwF+sOO6gPM7dcFaeMj0W6pCUDdYHeISU5OVmJioj799FNZLBbFxsbqqaee0uDBg5Wdna1f/OIXrqzTq61evVrLly/3dBmA221INuv5TzJlrWIE6aEb6mvq7eEc4AjA6ewOMZMnT1bjxo11//33a9iwYerYsWPJvZycHJcU5ysmTJhQao6O2WxWfHy8BysCXG/dkWz9/pPsKtt0izFq4VBWHwFwjRoNJ+Xl5SknJ6fOh5aygoODFRwc7OkyALdIMRVo8KrLKqhi/MggaUqvMD07wDPbJACoG+wOMe+//74++ugjbdu2TYmJiWrRooWGDRtGjwNQhzyRdFUfn6h8991Ag/TnIZEa2KEeq48AuJzdIaZt27ZKSEjQzJkz9fnnn+vjjz/W8uXLtXz5cnXs2FEGg0E2W9VLKwH4rhRTQZUBRpL+995IPXhDmJsqAlDX1Xh1UmBgoAYOHKiBAwfqypUrSkxMVFJSkmw2m55//nlt27ZNAwcOVP/+/RUeHu6Kml0uNzdX+/btkyRdvHhRZrNZO3fulPTTSqpGjRjjR91y+Fyexr1nqrLNn+6N0CM3E2AAuI/B5qTuk3/+85/6+OOP9dlnnykvL09BQUH64osvnPFot7tw4YJGjBhR4b2lS5eqR48eVX59Tk6O4uLitHv3bp8NckCxXm9c0KVqdg0IC5JOPNXCPQUBwH85LcQUy8nJ0fbt25WYmKh33nnHmY/2GYQY+Iv2L1+ocvm0JEUES8eeJMAAcD+nn50UHh6uBx54QA888ICzHw3AjSZvulJtgLkxJkBJ45u5pyAAKMPuEJOZWf2JtGV56hRqAI4zWaw6eDZPO1Lyq2x3W4sg/f2X7MALwHPsDjGDBg2SwWCw+8EGg0EHDx50qCgAnvHHXZla/pVZRdX0wHRuYiTAAPA4u0NMfHx8qRCTl5enTz75RL1791aTJhzoBvi6W5dckOla1W0Mkj4YG6UerULcUhMAVMXuEDN37txSrzMyMvTJJ5/o0UcfVc+ePZ1dFwA3STEV6O4Vl6ttd2/HYC0fzQ8sALyH0yf2AvAdUz80afvpvErvBxikv4xqpF6tgtmBF4DXIcQAddQfd2VWGWAkaUrPMA3pXN9NFQFAzQR4ugAA7vfqvky9fajqHeyi60tzOMARgBejJwaoQ0wWq55Muqo9aQVVtjNIOvwEG9gB8G61DjE1WXYNwHPePpStP+7KrrZdw3rS178hwADwfnaHmDFjxpR6XVRUJIPBoBdffFH165cfMzcYDPrrX/9a+woB1Jq9AaZf22BteJgVSAB8g90hxmw2l+t1adasmWw2mywWi9MLA+AcJou12gDTr02w5t0TqY5RQW6qCgBqz+4Qk5SU5Mo6ALhAiqlAU/9uqrLNwzfU08tDG7upIgBwHib2An5qwvtX9NmZqs8/alRfBBgAPsspIaawsFDHjx/X5cuX1a5dO3Xo0MEZjwXggMPn8jTxA5Myq94CRg3qScmsQALgw+wOMYcPH9auXbv0q1/9So0b//+f3M6fP69Zs2YpNTW15Fp8fLxeeOEF51YKoFoj3knX1xcLq23HCdQA/IHdm91t3rxZX375ZakAI0nz5s1TSkqKbrzxRj3yyCNq166dtmzZos2bNzu9WACV+/C42a4A8+gt9QkwAPyC3SHm+PHj6t27d6lraWlp+te//qVbbrlFK1asUEJCgtauXavrrrtOW7ZscXqxACo29r0rSticWW27wZ1D9OK9jdxQEQC4nt3DSSaTSa1bty517fDhwzIYDBo1alTJtXr16mnw4MF67733nFYkgIqlmAr00IYrMl2zVdkuJkx693+iWUINwK/YHWLy8/MVEhJS6tqJEyckSbfeemup6zExMcrJyXFCeQAqY8/qI0mKCJYOzWQCLwD/Y3eIadasmc6cOVPqWnJysho1aqRmzZqVup6bm6uIiAjnVAignOFr0vXvS9XPf3n2rjBN7c0hjgD8k91zYm655RZt2bJFKSkpkqRdu3bp7NmzuuOOO8q1TUlJUXQ0EwcBV7h1yQW7AszIrvUIMAD8mt09MePHj9e2bdv0yCOPKDIyUpmZmQoKCtK4ceNKtbNarfr88881cOBApxcL1HWDVvwg07Wq20TVlzaOZf4LAP9nd09My5YttWzZMvXt21eRkZG644479Pbbb5fb2O7w4cOKjIzUXXfd5fRigbrsliUX9B9TUZVtRnYJ0ZEnWhBgANQJBpvNVvWyBtRYTk6O4uLitHv3boWHh3u6HPi4FFOBHlh/WT/mVt2ubUOD9kxt7p6iAMALcHYS4MWeSLqqj09Uk14ktYwI0J6pzaptBwD+xO7hJADu9WnKNbsCTJuGBn0xnQADoO6hJwbwQg+9m66DZ6tfgTS1V5ieHcAKJAB1EyEG8DI3/d8FZVRzAnXzCGnL+BhFhRrdUxQAeCFCDOAlUkwFunfFZVmraRcaKB2Yzg68AECIAbzAsDXpOmrHBnY3xgQqaXxTN1QEAN6PEAN4WPuXL8hqx0YHv+kbpqf6Mf8FAIoRYgAParfggqrevk4KC5L2TmP+CwCURYgBPMBkserW1y9V2y7UKJ14ivkvAFARQgzgZq/uy9Rr+83VtjMapJOzCDAAUBlCDOBGw9ek23UCdWSI9O8EAgwAVIUQA7hJ7MILyq1uAoykVaMb6e6O9V1fEAD4OEIM4GKHz+XpoXdNdq1A+m42vS8AYC9CDOBCQ1an60R69cNHEgEGAGqKAyABF5n5scmuABMsAgwAOIKemAqkpaXp5Zdf1r///W+FhYVp6NChmj59uoKCgjxdGnxE3LIf9O2P1U+AGdGlnl4f0dgNFQGA/yHElJGVlaVp06apdevWWrhwodLT07V48WLl5uZq9uzZni4PPqDbqxeUU1B9u4S+YXqSHXgBwGGEmDI2bdoks9mshQsXKjLyp39grFarFixYoIkTJyo6OtrDFcJbpZgKdPeKy3a1fXZAhKb2inBxRQDg35gTU8YXX3yhXr16lQQYSbrnnntUVFSkAwcOeLAyeLOxf7tsV4AxSjryeAwBBgCcgBBTRlpamtq2bVvqWkREhJo0aaK0tDSP1ATv1vvNH7Tvu+rHj4wG6czsFpyBBABOwnBSGVlZWYqIKP9TckREhLKysir8mvz8fOXn55e8Npur31Ie/qHTggvKr76ZYsKkQzNZgQQAzkSIcYLVq1dr+fLlni4DbtZmwQW72k3tFaZnBzCBFwCcjRBTRoMGDZSTk1PuenZ2tho0aFDh10yYMEFjx44teW02mxUfH++yGuFZHx43K2Fzpl1tjzwew/ARALgIIaaMtm3blpv7kpOToytXrpSbK1MsODhYwcHBri8OHtd98QVl2zN+JDawAwBXY2JvGXfccYcOHTqk7Ozskms7d+5UQECAevfu7cHK4GkDll+0K8AYRIABAHcgxJQxevRohYaG6umnn9aBAweUmJio1157Tb/4xS/YI6YO6774gs5crf4Ex67RgUojwACAWxBiymjQoIHeeustBQYG6umnn9Ybb7yhUaNG6amnnvJ0afCQNgvsG0Ia2D5Y2yY2dX1BAABJzImpULt27fSXv/zF02XAC9i7AunTSdHqGMXZWgDgToQYoAI1OUKA+S8A4BmEGKCMYWsu6egla7XtoupLR54gwACApxBigJ9pu+CCqp++K0WHSocfJ8AAgCcxsRf4rzZ2BphHbwklwACAF6AnBnXe4XN5Gr3BZFdbduAFAO9BiEGddu/KS/rmSvXzXyQm8AKAtyHEoM7q//YFfZdRfbvwYOn4kwQYAPA2hBjUSfbu/8IEXgDwXoQY1Ckmi1W3vn7JrrarRjfS3R3ru7giAICjCDGoM57b8aPW/+uaXW2Z/wIA3o8Qgzrh1iUXZLIjvwRI+pYAAwA+gX1i4Pe6vmpfgHn05noEGADwIfTEwK/ZO4G3VYMAvXhfYxdXAwBwJkIM/Ja9AYYJvADgmwgx8DucQA0AdQMhBn7lzqUX9H2mfW0JMADg2wgx8Bv2Dh+xAgkA/AMhBn7B3gDz0j0R+uWtES6uBgDgDoQY+DTmvwBA3UWIgc8a+95l7UsrsKstAQYA/A8hBj7pjr9c1PlsW7XtAg1S6m8JMADgjwgx8DmdX76gvOrzi0KM0ulZBBgA8FccOwCf0maBfQHmxhgjAQYA/Bw9MfAJJotVvV6/ZFfb3/QN01P9Il1cEQDA0wgx8Hov7crQ8kOWatsZJP3z8RhFhRpdXxQAwOMIMfBqdy37QWk/FlXbziApjRVIAFCnEGLgtbovvqDs/OrbDWgXpDUPRbu+IACAVyHEwCvZuwPvswMiNLUXO/ACQF1EiIFXqckOvEeY/wIAdRohBl7jwXcv69BZduAFANiHEAOv0O3VC8qxI79EBEvHniTAAADY7A5eoN0C+wLMiC4hBBgAQAlCDDwmxVSgNgsuqPoF1NLgziF6fUSUy2sCAPgOhpPgEVM/NGn76Ty72n46KVodo4JcXBEAwNcQYuB2o9Ze0r9+sFbbLihASnmG4SMAQMUIMXAre/d/CTIQYAAAVSPEwG06L7QvwLx0T4R+eSsb2AEAqkaIgcvVZAM79n8BANiLEAOXevjdyzrABnYAABcgxMBlrn/lgq4V2teWAAMAqClCTBkHDhxQUlKSjh07pvPnz+vBBx/U7NmzPV2Wz7F3Am9ggJTKBF4AgAMIMWV8+eWX+s9//qNbb71VWVlZni7HJ9kbYJjACwCoDUJMGb/5zW/05JNPSpIOHz7s4Wp8j70BhuEjAEBtcexAGQEB/JI44vC5PMUuqj7ANA83EGAAAE5BTwxq7c6lP+j7zOpPQKpnlA7MaO6GigAAdQEhxgny8/OVn59f8tpsNnuwGveydwVSkKRvZtEDAwBwHr8PMTk5Obpy5Uq17Vq2bKmgIMcOGVy9erWWL1/u0Nf6sntW/GBXgGlUz6Dk39ADAwBwLr8PMTt37tRLL71UbbsPPvhAbdu2deg9JkyYoLFjx5a8NpvNio+Pd+hZviDFVKDhqy/LUs0ZjsGSlo5upLs71ndLXQCAusXvQ8yoUaM0atQol75HcHCwgoODXfoe3mLCB1f0WWp+te2CA6T/sP8LAMCF/D7EwHmGr7mkf1+qpvtFkkEEGACA6xFiyrh48aKOHz8uScrNzdX58+e1c+dOSdKgQYM8WZpH3fzaBf2YW327rk2N2jYhxvUFAQDqPEJMGYcPH9a8efNKXn/xxRf64osvSu7VNSaLVXe8eUm51aygDjVKSROi1THKscnRAADUlMFms9k8XYS/ycnJUVxcnHbv3q3w8HBPl+Owtw9l64+7sqttFyDpWzawAwC4GT0xqNBLuzK0/JCl2nYdGhn02RSWTwMA3I8Qg3LGvndZ+9IKqm3Xr22wNjzcxA0VAQBQHiEGpQxZfUkn0qtfgTSlV6ieG9DQ9QUBAFAJQgxKdH31gszVd8Do2QERmtorwvUFAQBQBUIMJEnjN16uNsA0qid9OjlGUaFG9xQFAEAVCDF1nMli1f3rLuu7jKrXUEfWk5J/wwokAID3IMTUYU9vuaoPjlW/g11UfYOOPMEKJACAdyHE1FHdF19QdjVHIBkkreQARwCAlyLE1EGP/DW92gAzoH2Q1jwY7Z6CAABwACGmjrnt9Yu6Yql6k+auTQN9MsBcuHDBrnYtWjC3BwD8ASGmDhm+Jr3aADP/3giNu4Xl0wAA70eIqQMOn8vTpA9M+jGv6nY3NQ8kwNQAPT8A4FmEGD83cPkPSr1a9fLppmHSW6Oi1KNViJuqAgCg9ggxfsyeANMk1KCvZnr/8ml7ez0AAHUHIcYPmSxWLdmfVW2AuTEmUEnjm7q0FnvCB8MtAABHEGL8zIZks579R2a17W6MCXB5gPFW9OoAgH8I8HQBcB6Txarn7AgwMWEGJY1v5oaKAABwHXpi/MjUD6+qqgXU9QOlN0eyAy8AwD8QYvzA4XN5ev6TDB1Pt1ba5o/3RmisE5dPO3NIhuEdAIAjCDE+bsjqdJ1IL6yyzU3NA50aYAAA8AaEGB/20q6MagPMa8MiNapbmJsqAgDAfZjY66NMFqtWHLJU2WZI5xACDADAb9ET46NOphdWOYn3N33D9FS/SLfVAwCAuxFifIjJYtXJ9EJ1aRqoLk0DFWyU8svM5W3bMEB//2W0okKNnikSAAA3IcT4iA3JZs3dmal8qxRslOYOitTcQZGatzNTedafxgV/1StUvx/Q0NOlogx2LQYA1yDE+ACTxVoSYKSfel/m7czUl9NjNLhzPZ26XKjrowPpfQEA1ClM7PUBJ9MLyw0b5VmlU5cLFRVqVN82IQQYAECdQ0+MD6ho/kuIUeoS7ZrfPjafAwD4AkKMD4gKNZaa/xJilF4YFKnG9L74DebNAEDNEWJ8xNibw5j/AgDAzxBifMhP818ILwAASIQYwGfYO1eJYScAdQWrkwAAgE+iJwbwM86aJMxkYwDejhAD1EEsowfgDwgxdQz/eMET6NUB4ArMiQEAAD6Jnhg/QQ8LAKCuoScGAAD4JEIMAADwSQwnAXCYM4cx3T35l8nGgO8jxADwO8wRA+oGQowP4Bsy8BN3/11w91EP9A4BNUOIcQGbzSZJMpvNTnmes54DwDX+85//+OV7+brmzZu79f0uXrxYbRt7arLnOfZy5q+Bsz6fvcLCwmQwGKpsQ4hxAYvFIkmKj4/3cCUAAPim3bt3Kzw8vMo2BltxtwGcpqioSN99950efPBBbdmyRWFhYZ4uyaXMZrPi4+PrxGeV6tbn5bP6Jz6rf/K3z0pPjIcEBAQoOjpa0k+/CdUlSX9Rlz6rVLc+L5/VP/FZ/VNd+qzsEwMAAHwSIQYAAPgkQoyLBAcHa/LkyQoODvZ0KS5Xlz6rVLc+L5/VP/FZ/VNd+qzFmNgLAAB8Ej0xAADAJxFiAACATyLEAAAAn8Q+MS6Qlpaml19+Wf/+978VFhamoUOHavr06QoKCvJ0aU61c+dObd26VadOnVJWVpZat26thx9+WCNGjKh2gyJfZrFY9MADDyg9PV3vvPOOunbt6umSXGLz5s169913lZaWpvr166tbt256+eWXVa9ePU+X5lR79uzRqlWr9O2336p+/fq65ZZbNHPmTLVq1crTpdXK2bNntW7dOh07dkypqalq06aNNm7cWK7dRx99pHfeeUc//PCD2rRpo+nTp+vOO+/0QMWOq+6z5uTkaMOGDdq/f7++//57BQcHq1u3bpoxY4Y6duzowcprzt7f12K7d+/WrFmz1L59+yrb+SpCjJNlZWVp2rRpat26tRYuXKj09HQtXrxYubm5mj17tqfLc6oNGzaoefPmSkhIUKNGjXTw4EHNnz9fly5d0pQpUzxdnsusWLFCVqvV02W41MqVK/XOO+9owoQJuuGGG5SRkaGvvvpKRUVFni7NqQ4fPqxnnnlG8fHxmj59ujIzM7V06VLNnDlTf/vb33w6sKWmpmr//v3q1q2bioqKKvy9+8c//qH58+dr4sSJ6tmzp3bs2KFZs2ZpxYoVuuGGGzxQtWOq+6w//PCD/v73v2vkyJGaPn268vLytH79eo0fP17r1q1Tu3btPFR5zdnz+1osNzdXr776qqKiotxYoZvZ4FSrVq2y9evXz5aRkVFybdOmTbZevXrZ0tPTPViZ8/3444/lrr300ku2/v3726xWq/sLcoNvv/3W1q9fP9sHH3xgu+2222zHjx/3dElO9+2339p69epl27dvn6dLcbn58+fbRowYYSsqKiq59tVXX9luu+0225EjRzxYWe39/O/gCy+8YHvwwQfLtbn//vttzz77bKlrEyZMsD3++OMur8+ZqvusFovFdu3atVLXzGazbeDAgbYFCxa4pUZnsef3tdhbb71lmzx5crXtfBlzYpzsiy++UK9evRQZGVly7Z577lFRUZEOHDjgwcqcr2HDhuWuxcbGymw269q1a+4vyA1efvlljR49Wm3atPF0KS6TlJSkli1bqm/fvp4uxeUKCwsVGhpaavizeLt2m4/vPhEQUPW393Pnzun777/XPffcU+r6vffeq6+++kr5+fmuLM+pqvus9evXL9erFhoaqlatWuny5cuuLM3pqvusxc6dO6f169dr1qxZLq7IswgxTpaWlqa2bduWuhYREaEmTZooLS3NIzW5U3Jyspo2beoXh4+VtXPnTqWmpmrSpEmeLsWljh49qg4dOmjFihW655571Lt3b02cOFHHjh3zdGlON3z4cJ05c0bvv/++cnJydO7cOb355puKjY3VTTfd5OnyXKr4+1HZ71dt27ZVQUGBLly44P6i3Cg7O1upqak+NZRUE4sWLVJ8fLw6d+7s6VJcihDjZFlZWYqIiCh3PSIiQllZWR6oyH2Sk5O1Y8cOjRs3ztOlOF1ubq4WL16s6dOn+/3BaiaTSQcPHtTWrVs1e/ZsLVq0SAaDQTNmzNDVq1c9XZ5T3XLLLVq0aJHeeOMNxcXFadSoUTKZTFqyZImMRqOny3Op7OxsSSr357lBgwaSpMzMTLfX5E5LliyRwWDQ6NGjPV2K033++ef697//rV//+teeLsXlCDFwikuXLmnOnDnq0aOHxowZ4+lynG7lypWKiorSiBEjPF2Ky9lsNlksFi1YsECDBg1Sv3799Oqrr0qS361u+Prrr/X8889r1KhRWrp0qf785z/LZrMpISFBubm5ni4PLpKYmKgPP/xQs2fPVkxMjKfLcaq8vDy98sormjJlSoVD/v6G1UlO1qBBA+Xk5JS7np2dXfITjr/Jzs7WE088ocjISL388st2j9n6iosXL2r9+vVauHBhye9t8Zwfi8Uii8Wi0NBQT5boVBEREYqMjFSnTp1KrkVGRio2NlapqakerMz5Fi1apB49eujJJ58suXbDDTdo2LBh2rp1q37xi194sDrXKu4xzsnJUZMmTUquF/cY/3xenz/Zv3+/5s+fr0mTJmnYsGGeLsfp/vrXvyogIECDBw8u6W0rKCiQzWZTdna26tWr51fbfRBinKxt27bl5r7k5OToypUr5cae/UFubq4SEhKUk5Oj1atX++VQy/nz51VQUKCEhIRy96ZNm6bu3btrzZo1bq/LVdq3b69z585VeM+XJnva48yZM7rrrrtKXYuJiVHDhg0r/TXwF8Xfj8rO40tLS1NQUJBatmzpmcJc6OjRo5o9e7aGDRumadOmebocl0hLS9PZs2c1aNCgcvcGDBig3/3ud3rggQc8UJlrEGKc7I477tDq1auVnZ1d8pPOzp07FRAQoN69e3u4OucqLCzUnDlzlJaWpuXLl6tp06aeLsklYmNjtXTp0lLXTp8+rVdffVVz5sxRt27dPFSZa9x5551KSkrSN998o9jYWElSRkaGTp06pUceecTD1TlX8+bNderUqVLXLl68qIyMDLVo0cJDVblHq1at1Lp1a3366aeKi4sruf7JJ5+oZ8+efvXTuvRTYE1ISFDPnj01Z84cT5fjMuPHjy/Xw7R27Vp99913ev755/1uZSUhxslGjx6t9957T08//bQmTpyo9PR0vfbaa/rFL36h6OhoT5fnVAsWLNDevXuVkJAgs9mso0ePltyLjY31m+PgIyIi1KNHjwrvdenSRddff72bK3KtuLg4de3aVbNnz9b06dMVEhKiNWvWKCgoyK9+gpN++vv6yiuvaNGiRbrzzjuVmZmplStXqnHjxhX+JOtLcnNztW/fPkk/BTOz2aydO3dKkm677TY1atRIU6ZM0R/+8Ae1atVKt912mz755BMdO3ZMy5cv92TpNVbdZ7XZbHr88ccVEhKiRx55RCdPniz52rCwMLVv394jdTuius/atm3bcr3+mzdv1qVLlyr9PubLDDZf3wzBC3377bdauHChvv76a4WFhZXsBupvP9kMHz5cFy9erPBeYmKiX/8ke/jwYU2bNs1vjx3IyMjQK6+8or1796qgoEC33HKLnnrqKZ/6Zm8Pm82mTZs2adOmTTp37pxCQ0N14403asaMGT4//HvhwoVKJ6IvXbq05B+0jz76SGvXri05dmDGjBk+d+xAdZ9VUqXDR7feequWLVvmstqczd7f15+bO3euTpw44XcT8yVCDAAA8FH+tYwEAADUGYQYAADgkwgxAADAJxFiAACATyLEAAAAn0SIAQAAPokQAwAAfBIhBkCddfjwYfXo0UNJSUmeLgWAAwgxADymOET06NFDCxYsqLDN1atX1bt3b/Xo0UNTpkxxW03r1q1z+XsBqB1CDACPCwkJ0T/+8Y8KT8neunWrbDabjEajByoD4M0IMQA8Li4uTllZWdqzZ0+5e4mJierbt6/fHCgKwHk4xRqAx11//fU6c+aMkpKSdM8995RcP3bsmM6cOaPp06frq6++Kvd1J06c0KpVq/Svf/1LFotFzZs3V3x8vB577DEFBpb+9rZ7924tW7ZMaWlpatSokYYNG6ZbbrnFrvqKD92bPHmyunbtquXLlyslJUUREREaOnSoZsyYUe79zp49q1WrVungwYO6evWqGjZsqK5du2ry5Mnq0qWLA79KAMoixADwCiNGjNDixYuVnp6upk2bSvqpF6Zx48bq169fufb79u3TM888o+uuu07jxo1TgwYNdPToUb399ts6ffp0qTk2u3bt0m9/+1u1aNFCkyZNktFoVFJSkvbt21ejGvfv368PPvhAo0eP1ogRI7Rnzx6tW7dOERERmjhxYkm7EydO6Ne//rUKCws1cuRIdejQQVlZWTpy5Ii+/vprQgzgJIQYAF5hyJAhWrJkiTZv3qyJEycqNzdXO3bs0KhRo8r1cuTl5enFF19U9+7d9dZbb5XcHz16tDp16qTFixeXTNC1Wq1atGiRGjRooLVr16phw4YlbceMGVOjGs+cOaONGzeqRYsWJc94+OGH9d5775WEGJvNprlz56qgoEBr165Vp06dSr5+woQJKioqcvSXCEAZzIkB4BUaNmyo/v37a/PmzZJ+6j3JycnRiBEjyrU9ePCgTCaThg8frpycHGVkZJT817dv35I2knTy5EldunRJI0aMKAkwkhQeHq7Ro0fXqMa4uLiSACNJBoNBPXr0kMlkksVikSR98803OnPmjIYPH14qwBQLCODbLuAs9MQA8BrDhw9XQkKCkpOTlZiYqG7duql9+/bl2n377beSpP/93/+t9Fkmk0mSdP78eUlSmzZtyrVp165djepr2bJluWuRkZGSpMzMTIWGhurs2bOSpNjY2Bo9G0DNEWIAeI0+ffqoadOmWrZsmQ4fPqzf/e53Fbaz2WySpN/85jfq3LlzhW2io6OdXl9VvSjFNQFwH0IMAK9hNBoVHx+v1atXKyQkRPfdd1+F7Vq3bi1Jql+/vm6//fYqn1nce/Ldd9+Vu1fco+NMxbWdPn3a6c8GUBqDswC8yujRozV58mTNmTNH4eHhFbbp06ePGjdurDVr1igzM7Pc/dzcXJnNZklSly5dFBMTo8TERGVkZJS0ycnJ0aZNm5xef+fOndW+fXslJiYqNTW13H16bADnoScGgFdp1qyZpk6dWmWb+vXra968eZo1a1bJcufrrrtO2dnZSktL065du7Rw4UL16NFDRqNRTz75pObMmaPHHntMo0aNktFoVGJioiIjI/XDDz84tX6DwaAXXnhB06dP12OPPVayxDo7O1tHjhxRnz59arwqCkDFCDEAfFKfPn20du1arV27Vtu2bdOPP/6oBg0aqFWrVho7dmyplUGDBg1SQECAVqxYoWXLlqlx48Ylm93NnDnT6bV169ZNa9eu1cqVK7Vz505t2rRJDRs2VLdu3XTzzTc7/f2Auspgo28TAAD4IObEAAAAn0SIAQAAPokQAwAAfBIhBgAA+CRCDAAA8EmEGAAA4JMIMQAAwCcRYgAAgE8ixAAAAJ9EiAEAAD6JEAMAAHwSIQYAAPgkQgwAAPBJ/w/3LhWw+60s8gAAAABJRU5ErkJggg==\n",
"text/plain": [
"<Figure size 600x500 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"shap.plots.scatter(shap_values[:,\"MedInc\"])"
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "ee828743",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 800x550 with 3 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# the waterfall_plot shows how we get from shap_values.base_values to model.predict(X)[sample_ind]\n",
"shap.plots.waterfall(shap_values[sample_ind], max_display=14)"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "a0ece484",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"id": "dd419573",
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3 (ipykernel)",
"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": "3.10.8"
}
},
"nbformat": 4,
"nbformat_minor": 5
}