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https://github.com/winvector/wvu
Win Vector LLC Python data science teaching tools (graphs and data manipulation)
https://github.com/winvector/wvu
Last synced: 13 days ago
JSON representation
Win Vector LLC Python data science teaching tools (graphs and data manipulation)
- Host: GitHub
- URL: https://github.com/winvector/wvu
- Owner: WinVector
- License: other
- Created: 2022-08-28T15:36:08.000Z (over 2 years ago)
- Default Branch: main
- Last Pushed: 2023-02-23T21:42:45.000Z (almost 2 years ago)
- Last Synced: 2024-11-07T03:16:47.645Z (2 months ago)
- Language: HTML
- Homepage: https://winvector.github.io/wvu/
- Size: 1.19 MB
- Stars: 0
- Watchers: 3
- Forks: 0
- Open Issues: 0
-
Metadata Files:
- Readme: README.ipynb
- License: LICENSE
Awesome Lists containing this project
README
{
"cells": [
{
"cell_type": "markdown",
"metadata": {
"pycharm": {
"name": "#%% md\n"
}
},
"source": [
"[wvu](https://github.com/WinVector/wvu) is a simple \n",
"set of utilities for doing and teaching data science and machine learning methods.\n",
"They are not replacements for the standard methods in sklearn.\n",
"\n"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"'0.3.9'"
]
},
"execution_count": 1,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"import numpy.random\n",
"import pandas\n",
"import wvu.util\n",
"\n",
"wvu.__version__"
]
},
{
"cell_type": "markdown",
"metadata": {
"pycharm": {
"name": "#%% md\n"
}
},
"source": [
"Illustration of cross-method plan."
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": false,
"jupyter": {
"outputs_hidden": false
},
"pycharm": {
"name": "#%%\n"
}
},
"outputs": [
{
"data": {
"text/plain": [
"[{'train': [0, 1, 2, 3, 8], 'test': [4, 5, 6, 7, 9]},\n",
" {'train': [4, 5, 6, 7, 9], 'test': [0, 1, 2, 3, 8]}]"
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"wvu.util.mk_cross_plan(10, 2)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Plotting example"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Help on function plot_roc in module wvu.util:\n",
"\n",
"plot_roc(prediction, istrue, title='Receiver operating characteristic plot', *, truth_target=True, ideal_line_color=None, extra_points=None, show=True)\n",
" Plot a ROC curve of numeric prediction against boolean istrue.\n",
" \n",
" :param prediction: column of numeric predictions\n",
" :param istrue: column of items to predict\n",
" :param title: plot title\n",
" :param truth_target: value to consider target or true.\n",
" :param ideal_line_color: if not None, color of ideal line\n",
" :param extra_points: data frame of additional point to annotate graph, columns fpr, tpr, label\n",
" :param show: logical, if True call matplotlib.pyplot.show()\n",
" :return: calculated area under the curve, plot produced by call.\n",
" \n",
" Example:\n",
" \n",
" import pandas\n",
" import wvu.util\n",
" \n",
" d = pandas.DataFrame({\n",
" 'x': [1, 2, 3, 4, 5],\n",
" 'y': [False, False, True, True, False]\n",
" })\n",
" \n",
" wvu.util.plot_roc(\n",
" prediction=d['x'],\n",
" istrue=d['y'],\n",
" ideal_line_color='lightgrey'\n",
" )\n",
" \n",
" wvu.util.plot_roc(\n",
" prediction=d['x'],\n",
" istrue=d['y'],\n",
" ideal_line_color='lightgrey',\n",
" extra_points=pandas.DataFrame({\n",
" 'tpr': [0, 1],\n",
" 'fpr': [0, 1],\n",
" 'label': ['AAA', 'BBB']\n",
" })\n",
" )\n",
"\n"
]
}
],
"source": [
"help(wvu.util.plot_roc)"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"d = pandas.concat([\n",
" pandas.DataFrame({\n",
" 'x': numpy.random.normal(size=1000),\n",
" 'y': numpy.random.choice([True, False], \n",
" p=(0.02, 0.98), \n",
" size=1000, \n",
" replace=True)}),\n",
" pandas.DataFrame({\n",
" 'x': numpy.random.normal(size=200) + 5,\n",
" 'y': numpy.random.choice([True, False], \n",
" size=200, \n",
" replace=True)}),\n",
"])"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/plain": [
"0.8635570926073719"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"wvu.util.plot_roc(\n",
" prediction=d.x,\n",
" istrue=d.y,\n",
" ideal_line_color=\"DarkGrey\",\n",
" title='Example ROC plot')"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Help on function threshold_plot in module wvu.util:\n",
"\n",
"threshold_plot(d: pandas.core.frame.DataFrame, pred_var: str, truth_var: str, truth_target: bool = True, threshold_range: Iterable[float] = (-inf, inf), plotvars: Iterable[str] = ('precision', 'recall'), title: str = 'Measures as a function of threshold', *, show: bool = True) -> None\n",
" Produce multiple facet plot relating the performance of using a threshold greater than or equal to\n",
" different values at predicting a truth target.\n",
" \n",
" :param d: pandas.DataFrame to plot\n",
" :param pred_var: name of column of numeric predictions\n",
" :param truth_var: name of column with reference truth\n",
" :param truth_target: value considered true\n",
" :param threshold_range: x-axis range to plot\n",
" :param plotvars: list of metrics to plot, must come from ['threshold', 'count', 'fraction',\n",
" 'true_positive_rate', 'false_positive_rate', 'true_negative_rate', 'false_negative_rate',\n",
" 'precision', 'recall', 'sensitivity', 'specificity', 'accuracy']\n",
" :param title: title for plot\n",
" :param show: logical, if True call matplotlib.pyplot.show()\n",
" :return: None, plot produced as a side effect\n",
" \n",
" Example:\n",
" \n",
" import pandas\n",
" import wvu.util\n",
" \n",
" d = pandas.DataFrame({\n",
" 'x': [1, 2, 3, 4, 5],\n",
" 'y': [False, False, True, True, False]\n",
" })\n",
" \n",
" wvu.util.threshold_plot(\n",
" d,\n",
" pred_var='x',\n",
" truth_var='y',\n",
" plotvars=(\"sensitivity\", \"specificity\"),\n",
" )\n",
"\n"
]
}
],
"source": [
"help(wvu.util.threshold_plot)"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"wvu.util.threshold_plot(\n",
" d,\n",
" pred_var='x',\n",
" truth_var='y',\n",
" plotvars=(\"sensitivity\", \"specificity\"),\n",
" title = \"example plot\"\n",
" )"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"\n",
"wvu.util.threshold_plot(\n",
" d,\n",
" pred_var='x',\n",
" truth_var='y',\n",
" plotvars=(\"precision\", \"recall\"),\n",
" title = \"example plot\"\n",
" )"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Help on function gain_curve_plot in module wvu.util:\n",
"\n",
"gain_curve_plot(prediction, outcome, title='Gain curve plot', *, show=True)\n",
" plot cumulative outcome as a function of prediction order (descending)\n",
" \n",
" :param prediction: vector of numeric predictions\n",
" :param outcome: vector of actual values\n",
" :param title: plot title\n",
" :param show: logical, if True call matplotlib.pyplot.show()\n",
" :return: None\n",
" \n",
" Example:\n",
" \n",
" d = pandas.DataFrame({\n",
" 'x': [.1, .2, .3, .4, .5],\n",
" 'y': [0, 0, 1, 1, 0]\n",
" })\n",
" \n",
" wvu.util.gain_curve_plot(\n",
" prediction=d['x'],\n",
" outcome=d['y'],\n",
" )\n",
"\n"
]
}
],
"source": [
"help(wvu.util.gain_curve_plot)"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"collapsed": false,
"jupyter": {
"outputs_hidden": false
},
"pycharm": {
"name": "#%%\n"
}
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"wvu.util.gain_curve_plot(\n",
" prediction=d['x'],\n",
" outcome=d['y'],\n",
" title = \"gain curve plot\"\n",
")"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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fGFhtW+V05b/ib+CDbedxLO4Gqo6h/SvuRoPXQUREBJjAEvotXUZeRVBZMbkHBoe44cGu3ohJy0WQuwapd6xWm5RVgN9PJ2P9yWsAGr5FpdL/JnbHc1WuthyVmIXCkjI88vlhALdbfZxtLZGRV6ztBiIiImpobFGRQWFJGZ744ggGfLAHZ65VdKE421kCADr5OOCBrt63tunO5km6WYAZVQa5NlZQGdHBA/Hvjca66X0AVKzZEvLvbdrHS8oqmlOm9PUHAFy4nlNtCjUREVFDYFCRwarD8Tgcm6Eze8fFrvoU48rl8SvFpuXp3G+soFKpg5dDtRqqGtnJEwEuthACOHGF41SIiKjhMajIoHKsSVVOtpZ1Pu9QjO41kFrZWOjZs2FYWyrh66h/Nk8bF1uE31rR9hi7f4iIqBEwqJgAjZUKVhbKGh/7ZnI4Qjw01bb3besMSTLk+sp3587XqByf8sHDnSFJEnoEOAEAjjOoEBFRI2BQkYG4Y9X5mrp9Kt0T4o6fb40Vqeq7qb0auqwavTC4rc79zS/1R/x7o/FoeMWS/D38K4LK37cG3BIRETUkzvqRQX5xqc59F7vau300VtW7eBS1jB1pSA9184aPozU0VioUlpQj+I7WHX9nG7jYqZGeW4TT17K0wYWIiKghsEVFBpn5ujNkDBmfMiTETfvzjEHV1zppLJIkoXcbZ3TwctC5wnLVx3v43xqnwvVUiIiogbFFRQY383VXo1Wrah6fUtVXk8KRW1QKhSTBVm1aH1sPfyf8fiYFx+Ju4IXBcldDRETNiWl947UQN+9oUTGkF0eSpBq7gExB7zbOACpWri0pK4dFLRc+JCIiMga/UWRwZ9dPU8zeaUwhHho42lggv7gMp65myV0OERE1IwwqTaS4tBwAIIRAVoFu1097T3s5SmowCoWkbVU5HJMuczVERNScMKg0sqjEm/B/YwuC3vwdiTfykVdcpl2C/vune+Gle9piUoS/vEU2gD6Bt4JKbEYdexIRERmOQaWRTfjyiPbnz/bFaAfSWqoU6NvWGf8YHgxLlfl/DBG3gsrx+EwUlXI9FSIiahjm/w1p4vKKb39pCyG0A2lbWVuY/diUqgJd7eCqUaOotBwnE27KXQ4RETUTDCpNqKz8dlBxtKl77RRzIkkS+twap3LnNYmIiIjqi0GlCZULIPNW109jX1BQDpXjVI4wqBARUQNhUGlC5ULgZsGtrp9mGFQqx6mcTMxEQTHHqRAR0d1jUGlCeUWluJlX0aLS3Lp+AKC1kw28HKxQUiZw/AqX0yciorvHoFJPJxMyceZa3Yub2VVZ7j6roETbouLQDFtUJElCn0AXABynQkREDYNBpR6yCkrw4PJDuO/TAygrF7XuWy5uP34zv0Q7RqU5tqgAt7t/Dl7mwm9ERHT3GFTqITPv9sqylSvO1qSsXCC/yliNrIISpGQVAqiYntwc9WtX0aJy+loWbuQV17E3ERFR7RhU6kFRZf2TwhL9g0Zzi0p17idnFWq7RFo10xYVd3srhHhoIARwgK0qRER0lxhU6qGsSndOUS0tKncGlaqa46yfSgOCXAEA+y+myVwJERGZOwaVeigpux1OamtRySmsXNyteihprmNUAKD/re6fPy+lQYjax/AQERHVhkGlHqqOS6m1RaWwokXFvobxKM25RaWHvxPUKgWuZxfh4vVcucshIiIzxqBihJzCEhQUl+m0qOi7AF9ZucCVjHwAulOUKzk008G0AGBloUSvW8vp77/E7h8iIqo/BhUDFZaUodP8P9Bp/nadFpXCkppbVKau/Av/+PlvADUHFSsLZeMUaiIG3Or+2cdxKkREdBcYVAx0NbMAAFBaLlBQZVyKvhaVql/QGivd1pOeAU6NUKFpGXhrQO2xuBu1juMhIiKqDYOKgarMSNZZG0Vfi0pVGiuVNpx42Fvhp+f6NHh9pqatmx087K1QVFqOY3FcTp+IiOqnep8E1ajq2il5VaYdV21REULgya+PQqXQzX92ahW+mhSOqISb2pVbmztJkjAgyAU/Hb+KPy+maacsExERGYMtKgZSVGlR0en6qdKi8vPxqzh4OaPauAw7KxXsrSwwIMgVKmXLOeWV4WQvx6kQEVE9tZxvzbtU9Zo+eUVVun5utaiUlwu8/supGp+rsWqZDVf927lCqZBwOTUXVzLy5C6HiIjMEIOKgaoGlfziKl0/t1pU/u+PC3qfq6lh1k9L4GBtgR7+jgCA3edTZa6GiIjMEYOKgUrraFFZvjdG73PtWmiLCgAMCXEHwKBCRET1w6BioLpaVGpjp26+i7vV5Z5QNwDAkdiMWq99REREVBMGFQPpjFEprrqOiiFBpeW2qAS62iHAxRYlZQIHuEotEREZiUHFQFW7fjb9naT92ZDFzFrqYNpK94RUtKrsOsfuHyIiMg6DioGqtqhUZUiLSksPKkNuBZU9F1JRruc8EhER1YRBxUCl5TUHkiIDWlRsLFt2UAn3d4JGrUJ6bjFOXcuSuxwiIjIjDCoG0pNTsP9yus7VlGvSnK+UbAhLlUK7+Nvuc9dlroaIiMwJg4qB9LWopOUU4b3fz+t93rG5Q2Cp4mmuHKfyRzSDChERGY7foAbSN0YFAL4+EAdPB6saH3PT1Ly9pbknxA1KhYTzKTmIT+cqtUREZBgGFQOV1jEItHJQbWcfB+22ib39GrUmc+Joa4nebSquIL39bIrM1RARkblgUDFQXbNVKqcp21gqtdvevC+0UWsyN/d28ADAoEJERIZjUDFQXS0q+bcWgXtlaBAA4LFwX6hVytqe0uIMvxVUTiTcxPXsQpmrISIic8CgYqDaxqhUFeppj3ML78V7D3Vq5IrMj7u9Fbq1bgUA+IOtKkREZAAGFQPV1aJSydpCCWtLJSRJauSKzNO9HStaVbYxqBARkQEYVAxUpm8hlTtYKBlQajPiVvfPkdgbyMwrlrkaIiIydQwqBqpjTTcttqTUzs/ZFqGe9igrF9jJxd+IiKgODCoGMrRFherG2T9ERGQoBhUDGTpGhepWOU7lz0vpyC0qlbkaIiIyZQwqBjJ01g/VLcjdDm1cbFFcWo6dXFKfiIhqYTJBZdGiRZAkCa+88orcpdTozqDyZO/WMlVi/iRJwn1hXgCATX8nyVwNERGZMpMIKn/99Re++OILdO7cWe5S9Lqz60elMIlTZ7bGdPYEAPx5KQ038zn7h4iIaib7t21ubi4mTJiAL7/8Eo6OjnKXo9edLSoWSgmDg111tu2cNbApSzJr7dw1CPHQoKRMcFAtERHpJXtQeeGFFzB69GgMHTq0zn2LioqQnZ2tc2sq1VpUlAp8M7mHzjY3e3WT1dMcjNF2/yTLXAkREZkqWYPK2rVrceLECSxatMig/RctWgQHBwftzdfXt5ErvO3O6ckWCgmSJEGpuL1uilole+4zK2M6VwSVQzHpSMspkrkaIiIyRbJ9syYmJmLmzJn4/vvvYWVlZdBz5syZg6ysLO0tMTGxkau87c4F3yyUFaeuSk6BpZJBxRitnW0Q5tsK5QLo8c5OXE7NlbskIiIyMbJ9s0ZGRiI1NRXdu3eHSqWCSqXCvn37sHTpUqhUKpSVlVV7jlqthr29vc6tqdzZoqK6FUqqrkTLVWmNVzmoFgCmrDwmYyVERGSKZAsqQ4YMwenTpxEVFaW9hYeHY8KECYiKioJSqZSrtBrdOUal8po+SoaTu3Lfre4fAEi8UYCsghIZqyEiIlMjW1DRaDTo2LGjzs3W1hbOzs7o2LGjXGXpdeesH9WtPh8Fc8pd8XCwwr/va6+9v/U0B9YSEdFtHFRhoGpBRTtGhUnlbj3dLwBvjAwBAGw4cU3maoiIyJSo5C6gqr1798pdgl41raMCAMwpDeOBLt54f9t5HIu/gcQb+fB1spG7JCIiMgFsUTGQvpVplez7aRAeDlboG+gCAOj/wR5eA4iIiAAwqBisetdPZYsKg0pDGdfNW/vztFXHZayEiIhMBYOKgap3/VRfR4XuzogOHjr3z6c03crDRERkmhhUDKR/1g+TSkOxVauw8cW+sLWsmJr+419Nt6AfERGZJgaVWhy6nI6luy6hvFyg9M4l9Dnrp1F09mmF/07oBgDYcPIaikqrL/xHREQtB4NKLcZ/dRQf7biITaeS9I5RGdulYsGyEA9Nk9fXXA1o5wpPByvczC/BH2c5qJaIqCVjUDFAfHq+3lk/rw4LwiePd8Hqab3kKK1ZUiokPNLdBwDw03F2/xARtWQMKgYoF0Jvi4qVhRJju3jD2U4tR2nN1iPhFVfG3n8pHYk38mWuhoiI5MKgYgBRQ1ARQs/O1CB8nWzQr23Fuio/R16VuRoiIpILg4oBBKov+FbOpNLoHu1R0ary01+JKC0rr2NvIiJqjhhUDFBT1w9zSuMb0cEdTraWSMkuxM5zqXKXQ0REMmBQMUC5qL6OimBSaXRqlRKP3WpV+f7IFZmrISIiOTCoGEDUEFQCXG1lqqZlGd+zNSQJOHA5HTFpuXKXQ0RETYxBxQBCCO0YlbfGdsBvL/SFp4O1zFW1DL5ONhgS4gaArSpERC0Rg4oBKsaoVAzmbONqhzDfVvIW1MI82dsPALAu8iryi0tlroaIiJoSg4oBqnb9cMn8pjegnSv8nG2QU1iK36KS5C6HiIiaEIOKAcpFxQ2oWDWVmpZCIeHJXhWtKqsOX+FAZiKiFoRBxQACt6cnK3nGZPFIuA/UKgXOJWfj+JVMucshIqImwq9dA7DrR36tbCzxYFdvAMDX++NkroaIiJoKg4oBysqFtruBXT/ymdovAACwPToFVzLyZK6GiIiaAoOKAb47cgVJWYUA2KIipyB3DQYGuUIIYMXBeLnLISKiJsCgYiQGFXlN61/RqvLT8URkFZTIXA0RETU2BhUjsetHXv3auiDYXYP84jKsPZYgdzlERNTIGFSMxFk/8pIkCU/falVZeSgeJbyqMhFRs8avXSNJ7PqR3dguXnCxUyM5qxBbTyfLXQ4RETUiBhUjKRlUZKdWKTGpT8UCcDPXRmH9iatcBI6IqJliUDESx6iYhgm9/WChrPgsZv30N/6Ivi5zRURE1BgYVIykYFAxCU62lhgc7Ka9v3xvDFtViIiaIQYVIzGnmI6FYzvCx9EaAPB34k0cjsmQuSIiImpoDCpG4hgV0+HhYIUD/7xHO17lv3suy1wRERE1NAYVI7Hrx/Q8OzAQFkoJh2IyEHnlhtzlEBFRA2JQMRJbVEyPdytrPNTNBwDw391sVSEiak4YVIzEJfRN04xBgVBIwJ4LaThzLUvucoiIqIEwqBhJwTNmkvycbTG2izcA4NPdl2SuhoiIGgq/do3EdVRM1wuDAyFJwPaz19mqQkTUTDCoGIldP6arrZsGY8O8AACL/7ggczVERNQQGFSMxBYV0/bK0CAoFRL2XEjjDCAiomaAQcVIbFExbf4utnike8UMoP/bflHmaoiI6G4xqBiJDSqm76Uh7WCpVOBwbAYOXk6XuxwiIroLDCpGUEiAxBYVk+fdyhrje7UGAHy4/QKvAUREZMYYVIzA8Snm4/nBgbC2UCIq8SZ2nUuVuxwiIqonBhUjsDXFfLhprDApwh8A8MH28ygtK5e3ICIiqhcGFSNw+XzzMmNgIBysLXDxei7WRV6VuxwiIqoHBhUjsOvHvDjYWOCle9oCAD7acRF5RaUyV0RERMZiUDECc4r5mdjHD62dbJCaU4Qv98fKXQ4RERmJQUWPmmaKKJhUzI5apcQ/7w0BAHzxZyxSswtlroiIiIzBoKJHTWMaOEbFPI3q5IGurVshv7gMS3ZyETgiInPCoKLH7HWnqm1ji4p5kiQJc0eFAgB+/CsRF1JyZK6IiIgMxaBiBLaomK9wfyeM7OiBcgEs2HSWi8AREZkJBhUjcNaPefvXqFBYqhQ4FJOB38+kyF0OEREZgEHFCGxQMW++TjaYPjAQAPD25mjkF3O6MhGRqWNQMQJbVMzfjIGB8G5ljaSsQny2N0bucoiIqA4MKkbgGBXzZ22pxL/vaw8A+N++WFzJyJO5IiIiqg2DihE466d5GNHBHf3buaC4rBzPrz6BbWdSUF7OwbVERKZI1qDy2WefoXPnzrC3t4e9vT369OmD33//Xc6SasWc0jxIkoR5YzpApZBwNikb07+PxKe7L8tdFhER1UDWoOLj44P33nsPx48fx/Hjx3HPPfdg7NixOHv2rJxl6aVg10+z0dbNDpNvXV0ZAJbsvIj4dHYDERGZGlmDypgxYzBq1CgEBQUhKCgI77zzDuzs7HDkyBE5y9KLg2mbl1eHBSEi0Fl7f+6vp7m+ChGRiTGZMSplZWVYu3Yt8vLy0KdPnxr3KSoqQnZ2ts6tKTGoNC+2ahXWPNMb+2YPglqlwMHLGfjlxDW5yyIioipkDyqnT5+GnZ0d1Go1pk+fjg0bNqB9+/Y17rto0SI4ODhob76+vk1aq8Sun2bJz9kWrwwNAgC8vSUa6blFMldERESVZA8qwcHBiIqKwpEjRzBjxgxMmjQJ0dHRNe47Z84cZGVlaW+JiYlNWquSOaXZmtY/AKGe9riZX4K3N9f8+0dERE1P9qBiaWmJtm3bIjw8HIsWLUJYWBg++eSTGvdVq9XaGUKVt6bEFpXmy0KpwHvjOkEhAb9GJWHPhVS5SyIiIphAULmTEAJFRabZ9M6Bls1bmG8rTI4IAADM+eU0sgpKZK6IiIhkDSr/+te/sH//fsTHx+P06dOYO3cu9u7diwkTJshZll5cE6z5mz0iGAEutkjJLsSCTaY5TZ6IqCWRNahcv34dEydORHBwMIYMGYKjR49i27ZtGDZsmJxl6cWc0vxZWyrxf490hkIC1p+4hu1neZVlIiI5qeR88a+//lrOlzceu35ahO5+Tnh2QCA+3xeDuRtOo4e/E5xsLeUui4ioRTK5MSqmjDGl5Xh1WDsEudshPbcYb3IhOCIi2TCoGIHfVS2HWqXE4ke6QKWQsPV0Cjb+nSR3SURELRKDihHKOJq2Renk44AX72kLAHjz1zNIvJEvc0VERC0Pg4oRytmk0uK8MLgturZuhZzCUrzyYxRKy8rlLomIqEVhUDECc0rLY6FUYOnjXaFRqxB5JRNLd1+WuyQiohaFQcUIZUwqLZKvkw3efrAjAOC/uy/hWNwNmSsiImo5GFSMwDEqLdfYLt4Y180b5QJ4Ze1JZOVz1VoioqbAoGIEjlFp2RaO7Qg/ZxskZRXin7+c4pRlIqImwKBiBLaotGx2ahWWPt4VFkoJ286m4OsDcXKXRETU7DGoGKGcQaXFC/NthX/f1x4AsOj38/grnuNViIgaE4OKETiYlgBgYm8/3B/mhbJygRdWn0Bajmle7ZuIqDlgUDECl9AgAJAkCYvGdUJbNzuk5hTh5R9Ocn0VIqJGwqBiBA6epEq2ahU+f7IbbCyVOBybgSU7L8pdEhFRs8SgYgR2/VBVbd00eP+hzgCAZXtisO1MiswVERE1PwwqRuCsH7rTmDAvTOnrDwCY9VMUzqdky1sQEVEzw6BiBM76oZrMHRWKfm1dkF9chmnfHkdGLgfXEhE1lHoFlalTpyInJ6fa9ry8PEydOvWuizJV7PqhmqiUCvx3fFf4OdvgamYBZqw+geJSDq4lImoI9Qoq3377LQoKCqptLygowKpVq+66KFNVzu8e0qOVjSW+eiocdmoVjsXdwIJNZ+UuiYioWTAqqGRnZyMrKwtCCOTk5CA7O1t7y8zMxNatW+Hm5tZYtcqOLSpUm3buGnzyeBdIErD6aAJWHY6XuyQiIrOnMmbnVq1aQZIkSJKEoKCgao9LkoQFCxY0WHGmxtfRWu4SyMQNCXXH6yNC8P6285i/8Sy8W1ljSKi73GUREZkto4LKnj17IITAPffcg19++QVOTk7axywtLeHn5wcvL68GL1Juv73QF0t3XcKcUaFyl0JmYPrANohNy8XPkVfx4pqT+Om5Pujk4yB3WUREZsngoOLk5ISLFy/CxcUFkyZNwtChQ6HRaBqzNpMR5tsKX0/uIXcZZCYkScK74zohJbsQ+y+lY+q3f2H9jAj4OtnIXRoRkdkxeIxKcXExsrMr1ohYtWoVCgsLG60oInNnoVRg+YRuCPHQIC2nCFNW/oWs/BK5yyIiMjsGt6j06dMHDzzwALp37w4hBF5++WVYW9c8ZuObb75psAKJzJXGygIrpvTAg8sO4XJqLp797jhWPd0TapVS7tKIiMyGwS0q33//PUaNGoXc3FxIkoSsrCxkZmbWeCOiCp4O1lgxpQfs1CocjbuBmT9E8QKGRERGkEQ9rrQXEBCA48ePw9nZuTFqMlh2djYcHByQlZUFe3v7Bj22/xtbtD/Hvze6QY9NLc/By+mYsuIvFJeV45HuPvjg4c6QJEnusoiIZGHM93e9FnyLi4uTPaQQmZO+bV2w9ImuUEjAz5FX8c6Wc7waNxGRAQweo7J06VI8++yzsLKywtKlS2vd9+WXX77rwoiam3s7euC9hzrj9XWn8NWBODjaWuKFwW3lLouIyKQZHFSWLFmCCRMmwMrKCkuWLNG7nyRJDCpEejwa7ovsghK8veUcPtx+AfbWFpjY20/usoiITJbBQSUuLq7Gn4nIONP6t0FWQQk+3X0Z//ntDNQqBR4N95W7LCIik2RwUJk1a5ZB+0mShMWLF9e7IKKWYNawIOQUlmLloXj885dTUEgSHu7uI3dZREQmx+CgcvLkSYP240wGorpJkoR5Y9qjtLwc3x9JwOx1f0MhAeO6MawQEVVlcFDZs2dPY9ZB1OJIkoSF93eEEBVXW/7Hz39DkoAHuzKsEBFVqtf0ZCJqGAqFhLfGdsQTPVtDCOAfP/2N36KuyV0WEZHJYFDRo19bFwBAKxsLmSuh5k6hkPDOAx3xeA9flAvg1R+j8NPxRLnLIiIyCQwqelhZVFyP5Z/3hshcCbUECoWEdx/shCd6tka5AF5fdworD3J2HRERgwqRiagIKx0xrV8AAGD+pmgs23NZ5qqIiOTFoKJXxfLmnMNETUmSJMwdHYqZQ9oBAD7cfgG9392FiV8fxcXrOTJXR0TU9BhUiEyMJEl4dVgQ5o4KBQCkZBdi/6V0DF/yJ/6KvyFzdURETYtBRY/K68VxWRiSyzMD2uDdBzvpbJvw1VFsO5MsU0VERE2PQYXIhI3v1RpbX+6PnbMGYGioO4pLyzFj9Ql8dzhe7tKIiJoEg4oetxpUIHGUCsmsvZc92rpp8PmT3bTrrfz7t7P4cPt5iMqmPyKiZopBhchMqJQKvPtgR7w6NAgAsGxPDGb99DeKSstkroyIqPEwqNSFDSpkQiRJwsyh7fDeuE5QKiRsOHkN4788ivTcIrlLIyJqFAwqerBJnUzZ4z1bY+WUHtBYqRB5JRMPLDvI6ctE1CwxqNSBDSpkqvq3c8WG5/vCz9kGVzMLMG75Iey9kCp3WUREDYpBRQ+2p5A5aOtmh1+f74ueAU7ILSrF1JV/4ZsDcWwRJKJmQyV3AaZO4kIqZOIcbS3x/dO9MHfDafwceRULN0fjTFIWAl3tEOyuQZkQ6OTtAK9W1nKXSkRkNAYVPfgPUjInlioFPni4M4I9NHh36zmsP3FN53EbSyUKS8owIMgVb43tCF8nG5kqJSIyDrt+iJoJSZIwrX8brJraC7aWSp3H8ovLUC6AvRfSMHrpfmw/myJTlURExmGLih63F3wjMi/92rlg+6sDsO1MClzs1DgUk46ycuCXE1cBANmFpXjuu0hM7RuAN0aGwFLFf68QkeliUCFqhnwcbTCtfxsAwANdvQEA8+5vDyuVEh9uP48v98fhm4NxiLxyA/8d341dQURksvhPKT0qZ01wLC01F/ZWFrBUKTB3dHt89VQ4HKwt8PfVLIxeuh/bzrAriIhME4MKUQs0tL07ts7sj66tWyG7sBTTv4/EnPWnkFdUKndpREQ6GFTqwBYVaq68W1njp+f64LmBbSBJwA/HEjF66X6cTMiUuzQiIi1Zg8qiRYvQo0cPaDQauLm54YEHHsCFCxfkLImoRbFQKjBnZCjWTOsNLwcrxGfk4+HPD+OTnZdQWlYud3lERPIGlX379uGFF17AkSNHsGPHDpSWlmL48OHIy8uTsywAt9dRkTjvh1qAPoHO+P2VAbg/zAtl5QJLdl7E4MV7EbFoF+ZuOI2sghK5SySiFkrWWT/btm3Tub9ixQq4ubkhMjISAwYMkKkqopbJwdoCS5/oiiGhbnjz1zNIvFEAAFh9NAE7z13Huw92wpBQd5mrJKKWxqTGqGRlZQEAnJycany8qKgI2dnZOrfGxjEq1NKM7eKNba8MQJ82ztpt17OL8PS3x/Hqj1G4mV8sY3VE1NKYTFARQmDWrFno168fOnbsWOM+ixYtgoODg/bm6+vbePXwsoTUgnm3ssYPz/bG+bfuxfm37sWzA9pAIQEbTl7D0I/+5HRmImoyJhNUXnzxRZw6dQo//PCD3n3mzJmDrKws7S0xMbEJKyRqeawslLCyUOJfo0Lxy4wItHWzQ3puEaZ/H4kX15xAak6h3CUSUTNnEkHlpZdewsaNG7Fnzx74+Pjo3U+tVsPe3l7n1lh4UUIiXV1bO2LzS/0wY1AglAoJm08lY8jiffj+yBWUl/MPhogah6xBRQiBF198EevXr8fu3bsREBAgZzlEVAcrCyX+eW8Ifn2+Lzp5OyCnsBRv/noG4z47hOikxh8zRkQtj6xB5YUXXsD333+PNWvWQKPRICUlBSkpKSgoKJCzLABVpidzNC1RNZ18HPDrC30xb0x72KlViEq8iTH/PYB3tkRzdVsialCyBpXPPvsMWVlZGDRoEDw9PbW3H3/8Uc6yiMgASoWEKX0DsHPWQIzu5ImycoEv98dh2Ef78PvpZO31soiI7oas66iY8v/IKmf9sD2FqHYeDlZYNqEbHj6fin//dgZXMwswY/UJRAQ6Y96YDgj20MhdIhGZMZMYTEtE5m9wiBt2vDoQL9/TFpYqBQ7FZGDU0v2Yv/EssvJLOOCWiOpF1hYVU3Z7jIq8dRCZE2tLJWYND8Yj4b54d+s5/H4mBSsPxeP7I1dQWi7g6WCFWcOCMK6bD5QK/nERUd3YokJEDc7XyQafPdkda6b1QpC7HUpvtaYkZxVi9rpTuO/TA9h/KU3mKonIHDCo6FHZSM2LEhLVX0RbF2x9uT/mj2mP9p72GBjkCo2VCueSszHx62OY9M0xnE/htGYi0o9dP0TUqFRKBSb3DcDkvhXrJGXmFePT3Zfx3ZF47LuYhv2X0vBwdx/0b+eKKxl5eCTcF+72VjJXTUSmgkFFH45RIWoUjraW+M+Y9pgU4YcPtl3AltPJ+On4Vfx0/CoA4OOdlzA5wh/TBwXCxU4tc7VEJDd2/RCRLPycbbFsQjesfz4C4X6O2u2l5QJfHYjDgA/24MPt55GVXyJjlUQkN7ao1IENKkSNq1trR/w8vQ/OXMuGh4MVopOzsfiPCzh1NQvL9sRg1eEreKZ/G0zp6w+NlYXc5RJRE2OLih4CXPOBqKlIkoROPg5w1agxMMgVv73QF19M7I4QDw1yCkvx0Y6LGPDBHny2Nwa5XKKfqEVhiwoRmRxJkjC8gweGhrpjy+lkLNl5EbFpeXh/23n8788YPN03ABFtnXEk9gaOxGagvac9pvQNgIcDB+ESNTcMKnpwwTci+SkUEsaEeWFkRw/8FpWEZXsuIzY9D4t3XMTiHbf3238pHd8cjMODXb3x7IBAtHWzk69oImpQ7PohIpOnUirwUHcf7Jg1EJ883gXtaggiJWUCPx2/imFL9uG5747jZEKmDJUSUUNji4oet0eosEmFyFQoFRLGdvHGmM5eOBKXAV9HG7jbW8FSpUDklUx8vi8GO6KvY/vZilvvNk6YPjAQA4NcIbF5lMgsMagQkdlRKCREBLrobOvu54gvnwrHpes5+N+fsfj15LVbY1huIMRDg6n9AjC2ixey8ktgq1bBVs3//RGZA/6l6iFuDVLhP8KIzEs7dw3+75EwzBoWhK8PxOGHYwk4n5KD19edwuvrTgEAbC2VeLi7D56K8EegK8ezEJkyjlEhombJq5U1/n1fexyeMwRzRobAs8qMoLziMnx7+AqGLN6HiV8fxa5z11FWziUJiEwRW1T0uH1RQiIyZw7WFnhuYCCm9gvA1tPJOHU1C2G+rbAx6hp2nU/F/kvp2H8pHa2dbPBUHz88Eu4LB2suLEdkKhhUiKhFsFAqMLaLN8Z28QYA3B/mhYSMfHx3JB4//pWIhBv5eHvLOSz+4yIe6OqNCb1ao6O3g8xVExGDih6311FhmwpRc9Xa2QZzR7fHq8OC8OvJJHx7KB4Xrufgh2MJ+OFYAjp5O+CJnq1xfxcv2HHwLZEs+JdHRC2ejaUK43u1xhM9fXE07gbWHE3AtjMpOH0tC6c3nMbbW6IxtosXxvf0QycftrIQNSUGFT04RoWo5ZEkCb3bOKN3G2fcyCvG+hNXseZYAmLT8vDDsUT8cCwRHb3tK1pZwrx4kUSiJsBZP0RENXCytcS0/m2wa9ZArH22N8Z28YKlUoEz17Ixd8MZ9HhnJ2auPYn9l9I4Y4ioEbFFhYioFlVbWeaPKcYvJ65i7V+JuJyai9+ikvBbVBI8HazwYFdvPNTdh+uyEDUwBhV9uOAbEd3B8VYry9P9AnDqahbWRV7Fxr+TkJxViOV7Y7B8bwy6tm6Fh7r5YHCIGw5cSkPX1o4IctfIXTqR2WJQISIykiRJCPNthTDfVnjzvlDsOpeKXyKvYu/FNJxMuImTCTd19g/x0OD+Ll4Y09kLvk428hRNZKYYVPTQDqZliwoR1UKtUmJUJ0+M6uSJ1JxC/HYyCesir+LC9RztPudTcnB+2wV8sO0Cuvs54v4wL4zu7AkXO7WMlROZBwYVIqIG4qaxwjMD2mBa/wCcT8mBJAEe9lb4/UwKNkYl4UhcBiKvZCLySiYWbo5GRKAzxnbxxogO7pxBRKQHg4oe2gXfOEGZiIwkSRJCPe2195/o2RpP9GyNlKxCbD6VhE1/J+Hvq1na5fv/tUGBAe1cMbqzB4aGuuPMtWx8uP08AOBEwk2097TH8A7uuLejB4LdNVyIkloUSVReJtgMZWdnw8HBAVlZWbC3t6/7CUYY8+kBnL6WhRWTe2BwiFuDHpuIKC49D5v+TsJvUdcQk5Zn8PP8nG0wooMHRnRwR1dfRygUDC1kfoz5/maLih4C2iYVIqIGF+Bii5eHtMNL97TFhes52HIqGVtOJyO2SmgJcLGFs60l+gQ641xyNv68lI4rGfn44s9YfPFnLFw1agxr7457O3igdxtnWKq4NBY1PwwqREQykiQJIR72CPGwx6xhQbhwPQcxqXm4t6MHlHe0luQWlWLfhTRsP5uCPedTkZZThDVHE7DmaAI0VioMCXHDkFB3DAx2hT3HvFAzwaCih2CDChE1saqhpSZ2ahVGd/bE6M6eKCotw+GYDGw/ex07oq8jPbcIv0Yl4deoJKgUEnr4O2FIaEVwCXCxBQAIITi+hcwOgwoRkRlSq5QYFOyGQcFuePuBjjiZkIkd0dex63wqLqfm4nBsBg7HZuDtLefQxsUWsel5sFQq0KuNEwYGuWJgkCvautkxuJDJY1DRQ9uiwj9iIjJxSoWEcH8nhPs7Yc6oUFzJyMOuc6nYfT4VR+MyEJteMe6luKxcO9Po7S3n4N3KGgOCXDEo2BURgc6cIk0miUGFiKiZ8XO2xdR+AZjaLwA5hSXYfykdBy6nw9VODY2VCvsupuFo3A1cu1mAH44l4IdjCVApJHT3c8SgYDcMDHJFqCenQZNpYFDRw2znbBMRVaGxstCunFtpWv82yC8uxdHYG9h7IRX7LqYhPiMfR+Nu4GjcDby/7TzcNGr0a+uCiLYu6NvWGZ4O1jK+C2rJGFTqwH9PEFFzZGOpwuAQN+06UfHpedh3MQ37LqbhUEw6UnOKsP7kNaw/eQ0A0MbVFn0DK0JLnzYucLBhNxE1DQYVIiKCv4st/F1sMSnCH4UlZTgen4mDMek4dDkdp69lITYtD7FpefjuyBUoJKCjtwMiAl3Qr60Lwv0dYWWhlPstUDPFoKJH5YK97KIlopbGykKJfu1c0K+dCwAgK78Eh2MzcCgmHQcvpyMmLQ+nrmbh1NUsfL4vBpYqBbq3dkREoDPiM/JRVFqGrq0d0SvACaGe9tXWgyEyBoMKERHVysHGAvd29MC9HT0AAClZhTh4Of1Wi0sGUrILtdOhK20+lQwA0KhV6O7viF4BzugZ4IRO3g5cQZeMwqBSB16UkIhIl4eDFR7q7oOHuvtACIGYtDwcjknHkdgbOJmQiaLScnT2ccDx+EzkFJVi74U07L2QBgCwslCgW2tH9AxwQq8AZ6gtFDh7LQsdvR3QwYshhqpjUCEionqTJAlt3ezQ1s0OE/v46zxWVi5wLjkbR+Nu4FhcBo7F3UBmfgkOxWTgUEwGgEs6+6tVCoT5tEJ3f0d0b+2Ibn6OcLK1bLo3QyaJQUWP2wu+yVsHEZG5UiokdPR2QEdvBzzdLwDl5QKX03JvBZcbOBqbgdScIgBAKxsL3MwvwbH4GzgWf0N7jDYutuju56i9Bbra8YrRLQyDChERNQmFQkKQuwZB7hpM7O0HIQRSsgvhaGMJtUqB2PQ8RF7JRGR8JiITMnE5NRex6XmITc/Dz5FXAQAO1hbo1roVuvs5oouvIzr5OMDBmlOlmzMGFT3ErSXfmNuJiBqHJEk6C8kFutoh0NUOj4b7AgBu5hfjREJmRXi5komoxJvIKijBngtp2HNrzAtQscZLF59WCPNthS6+rRDiqYFaxenSzQWDChERmaRWNpa4J8Qd94S4AwBKyspxLjlbG1xOXc1Cwo187RovlYvTWSoVCPWyRxcfB2148Xe2RVJWAYpKyxHgbMvuIzPCoKJH5RgVNqkQEZkGC6UCnX1aobNPK0zpGwAAuJFXjL+v3sTfiTcRlVjx38z8Evx962ccvlLtOHZqFdp72aOztwM6+VSMoWF4MV0MKkREZLacbC0xONgNg4MrLgUghEDijQJE3QovfyfexOlrWSgqLdc+J7eoFMduDeitVDW8tHO3w4HLGXC2tUQHL3t08KrYZqHk1Gk5MKjowYsSEhGZH0mS0NrZBq2dbXB/mBeAii6ji9dzcCUjHwODXJGYmY/TV7Nw5loWTl3LQnRSdo3hpSpLpQJBHnbo4OmADt726OBlDwA4cy0bbd3sEOKhgbOdusneZ0vCoFIHLvhGRGTeLJQKdPCqWFAOAEI87BHiYY9Hbg3aLS0rx+W0XG14OX0tC3HpeQj20EAIIDo5GzmFpThzLRtnrmUDx2t+HTeNGiGe9gj10CDU0x4hnhq0cbHjInZ3iUFFDyHYpkJE1BKolIpq4aWqyu6ks0lZOJuUrf1v5Rowfs42uJKRj9ScIqTmpOHPi7dnJFkoJQS62qH9reAS4mGPUE97uGrY+mIoBpU6cME3IqKWrWp30shOntrtN/OLYadWQaVUIK+oFBeu5+B8cg7OJWfjfEo2zifnIKeoFOdTcnA+JQc4efuYLnaWCPGwR7CHBkHudmjnrkE7NztorLgmzJ0YVIiIiOqhlc3t5f1t1Sp0a+2Ibq0dtduEELh2swDnknNwPjkb51NycC4lG3HpeUjPLcaBy+k4cDld55heDlZo564bXtq5a2Cnbrlf1y33ndeBs5OJiOhuSJIEH0cb+DjaYFh7d+32guIyXLxe0fJy4XoOLqfm4uL1HFzPLkJSViGSsgqxr0r3EQB4t7JGO3c7BN0KL0qFhDPXsuHjaI1ANzsEutrCy8G6WU6xljWo/Pnnn/jwww8RGRmJ5ORkbNiwAQ888ICcJRERETUqa0slwnwrVtKtKiu/BJdSc3DxekVwqfw5LacI124W4NrNAu1VqGtiZaFAGxc7bXCpXOk3wMUW1pbmu1KvrEElLy8PYWFhmDJlCh566CE5S6lOe1HC5pdOiYjI9DjYWCDc3wnh/k4622/mF98OL9dzcCk1Fxev56KopAw9ApyQeCMf8Rl5KCwpR3RyNqKTs3WeL0kVLTKVwSXQ7XaIcbGzNPnvOVmDysiRIzFy5Mi7P1BeHqBs2LRoVVwA6+JCKPLzgDyOziYiInm0AtDTTY2ebmqgk0uN+5SWleNqZgFi03IRn1FxSYG49DzEpOchK78EGdcLkXE9E8fueJ69lQr+LrYIcLaFn7MN/F1s0drZBv7OtrBtzHExeXkG72pWY1SKiopQVFSkvZ+dfSs1enk1+GttrfxhSYMfmoiIqEGpAPjfujU3ZrUKzaJFi+Dg4KC9+fpWn+9OREREzYckTGRlM0mS6hxMW1OLiq+vL7KSkmBvb9+g9dz78T5cySjA6mk90c3Pqe4nEBERNRNZ+SW4ciMPVzLy4W6vRs8A5wY9fnZ2Nhy8vJCVlVXn97dZdf2o1Wqo1TWMF7G1rbg1oEJLaxRYCpTbNPyxiYiITJmDLdDZtRU6N9YLlJUZvKtZdf00JZNoZiIiImrhZG1Ryc3NxeXLl7X34+LiEBUVBScnJ7Ru3VrGym4z8VlbREREzZqsQeX48eMYPHiw9v6sWbMAAJMmTcLKlStlqqqCaYzcISIiatlkDSqDBg0yg6sUs0mFiIhILhyjoofgKBUiIiLZMajUgWNUiIiI5MOgQkRERCaLQUWPyqEzbFAhIiKSD4MKERERmSwGFT20LSocpEJERCQbBhUiIiIyWQwqdWB7ChERkXwYVIiIiMhkMajoUbliLoeoEBERyYdBhYiIiEwWg4oeXECfiIhIfgwqdZA4nJaIiEg2DCp6mPxFnYmIiFoABpU6cDAtERGRfBhU9BAcpUJERCQ7BhUiIiIyWQwqREREZLIYVPS4fVFCeesgIiJqyRhUiIiIyGQxqOhROZSW66gQERHJh0GFiIiITBaDih4co0JERCQ/BhUiIiIyWQwqenHBNyIiIrkxqNSBXT9ERETyYVDRgxclJCIikh+DSh04PZmIiEg+DCp6sEGFiIhIfgwqdeAYFSIiIvkwqOghOEiFiIhIdgwqdWCDChERkXwYVIiIiMhkMajoob0oIZtUiIiIZMOgQkRERCaLQUWP22Np2aRCREQkFwYVIiIiMlkMKnpwejIREZH8GFTqwMG0RERE8mFQ0YPtKURERPJjUKkDG1SIiIjkw6CiD5tUiIiIZMegUgeJg1SIiIhkw6CiBxtUiIiI5MegUge2pxAREcmHQUUPrqNCREQkPwaVOnCIChERkXwYVIiIiMhkMajoUdnxI3GUChERkWwYVIiIiMhkMajowbG0RERE8mNQqQMH0xIREcmHQUUPwSXfiIiIZMegQkRERCaLQUUPjlEhIiKSn+xBZfny5QgICICVlRW6d++O/fv3y12SDo5RISIiko+sQeXHH3/EK6+8grlz5+LkyZPo378/Ro4ciYSEBDnLAsCLEhIREZkCWYPKRx99hKeffhrTpk1DaGgoPv74Y/j6+uKzzz6Tsyyk5hSiuLQcACCxSYWIiEg2sgWV4uJiREZGYvjw4Trbhw8fjkOHDtX4nKKiImRnZ+vcGsOR2BvanxXMKURERLKRLaikp6ejrKwM7u7uOtvd3d2RkpJS43MWLVoEBwcH7c3X17dRatNYqRDsrsGj4T7wsLdqlNcgIiKiuqnkLuDOrhUhhN7uljlz5mDWrFna+9nZ2Y0SVgYHu2FwsFuDH5eIiIiMI1tQcXFxgVKprNZ6kpqaWq2VpZJarYZarW6K8oiIiMgEyNb1Y2lpie7du2PHjh0623fs2IGIiAiZqiIiIiJTImvXz6xZszBx4kSEh4ejT58++OKLL5CQkIDp06fLWRYRERGZCFmDymOPPYaMjAwsXLgQycnJ6NixI7Zu3Qo/Pz85yyIiIiITIQlhvovFZ2dnw8HBAVlZWbC3t5e7HCIiIjKAMd/fsi+hT0RERKQPgwoRERGZLAYVIiIiMlkMKkRERGSyGFSIiIjIZDGoEBERkcliUCEiIiKTxaBCREREJotBhYiIiEyWrEvo363KRXWzs7NlroSIiIgMVfm9bcji+GYdVHJycgAAvr6+MldCRERExsrJyYGDg0Ot+5j1tX7Ky8uRlJQEjUYDSZIa7LjZ2dnw9fVFYmIiryHUyHiumwbPc9PgeW4aPM9Np7HOtRACOTk58PLygkJR+ygUs25RUSgU8PHxabTj29vb84+gifBcNw2e56bB89w0eJ6bTmOc67paUipxMC0RERGZLAYVIiIiMlkMKjVQq9WYN28e1Gq13KU0ezzXTYPnuWnwPDcNnuemYwrn2qwH0xIREVHzxhYVIiIiMlkMKkRERGSyGFSIiIjIZDGoEBERkclqsUFl+fLlCAgIgJWVFbp37479+/fXuv++ffvQvXt3WFlZoU2bNvj888+bqFLzZsx5Xr9+PYYNGwZXV1fY29ujT58+2L59exNWa96M/Z2udPDgQahUKnTp0qVxC2wmjD3PRUVFmDt3Lvz8/KBWqxEYGIhvvvmmiao1X8ae59WrVyMsLAw2Njbw9PTElClTkJGR0UTVmqc///wTY8aMgZeXFyRJwq+//lrnc2T5LhQt0Nq1a4WFhYX48ssvRXR0tJg5c6awtbUVV65cqXH/2NhYYWNjI2bOnCmio6PFl19+KSwsLMS6deuauHLzYux5njlzpnj//ffFsWPHxMWLF8WcOXOEhYWFOHHiRBNXbn6MPdeVbt68Kdq0aSOGDx8uwsLCmqZYM1af83z//feLXr16iR07doi4uDhx9OhRcfDgwSas2vwYe573798vFAqF+OSTT0RsbKzYv3+/6NChg3jggQeauHLzsnXrVjF37lzxyy+/CABiw4YNte4v13dhiwwqPXv2FNOnT9fZFhISIt54440a93/99ddFSEiIzrbnnntO9O7du9FqbA6MPc81ad++vViwYEFDl9bs1PdcP/bYY+LNN98U8+bNY1AxgLHn+ffffxcODg4iIyOjKcprNow9zx9++KFo06aNzralS5cKHx+fRquxuTEkqMj1Xdjiun6Ki4sRGRmJ4cOH62wfPnw4Dh06VONzDh8+XG3/ESNG4Pjx4ygpKWm0Ws1Zfc7zncrLy5GTkwMnJ6fGKLHZqO+5XrFiBWJiYjBv3rzGLrFZqM953rhxI8LDw/HBBx/A29sbQUFBeO2111BQUNAUJZul+pzniIgIXL16FVu3boUQAtevX8e6deswevTopii5xZDru9CsL0pYH+np6SgrK4O7u7vOdnd3d6SkpNT4nJSUlBr3Ly0tRXp6Ojw9PRutXnNVn/N8p8WLFyMvLw+PPvpoY5TYbNTnXF+6dAlvvPEG9u/fD5Wqxf1voF7qc55jY2Nx4MABWFlZYcOGDUhPT8fzzz+PGzducJyKHvU5zxEREVi9ejUee+wxFBYWorS0FPfffz8+/fTTpii5xZDru7DFtahUkiRJ574Qotq2uvavaTvpMvY8V/rhhx8wf/58/Pjjj3Bzc2us8poVQ891WVkZxo8fjwULFiAoKKipyms2jPmdLi8vhyRJWL16NXr27IlRo0bho48+wsqVK9mqUgdjznN0dDRefvll/Oc//0FkZCS2bduGuLg4TJ8+vSlKbVHk+C5scf+UcnFxgVKprJbMU1NTqyXFSh4eHjXur1Kp4Ozs3Gi1mrP6nOdKP/74I55++mn8/PPPGDp0aGOW2SwYe65zcnJw/PhxnDx5Ei+++CKAii9UIQRUKhX++OMP3HPPPU1Suzmpz++0p6cnvL29dS5nHxoaCiEErl69inbt2jVqzeaoPud50aJF6Nu3L2bPng0A6Ny5M2xtbdG/f3+8/fbbbPVuIHJ9F7a4FhVLS0t0794dO3bs0Nm+Y8cORERE1PicPn36VNv/jz/+QHh4OCwsLBqtVnNWn/MMVLSkTJ48GWvWrGH/soGMPdf29vY4ffo0oqKitLfp06cjODgYUVFR6NWrV1OVblbq8zvdt29fJCUlITc3V7vt4sWLUCgU8PHxadR6zVV9znN+fj4UCt2vM6VSCeD2v/jp7sn2XdioQ3VNVOXUt6+//lpER0eLV155Rdja2or4+HghhBBvvPGGmDhxonb/yilZr776qoiOjhZff/01pycbwNjzvGbNGqFSqcSyZctEcnKy9nbz5k253oLZMPZc34mzfgxj7HnOyckRPj4+4uGHHxZnz54V+/btE+3atRPTpk2T6y2YBWPP84oVK4RKpRLLly8XMTEx4sCBAyI8PFz07NlTrrdgFnJycsTJkyfFyZMnBQDx0UcfiZMnT2qngZvKd2GLDCpCCLFs2TLh5+cnLC0tRbdu3cS+ffu0j02aNEkMHDhQZ/+9e/eKrl27CktLS+Hv7y8+++yzJq7YPBlzngcOHCgAVLtNmjSp6Qs3Q8b+TlfFoGI4Y8/zuXPnxNChQ4W1tbXw8fERs2bNEvn5+U1ctfkx9jwvXbpUtG/fXlhbWwtPT08xYcIEcfXq1Sau2rzs2bOn1v/nmsp3oSQE28WIiIjINLW4MSpERERkPhhUiIiIyGQxqBAREZHJYlAhIiIik8WgQkRERCaLQYWIiIhMFoMKERERmSwGFTIJQgg8++yzcHJygiRJiIqKarLX3rt3LyRJws2bN5vsNQ0xf/58uLu7Q5Ik/Prrr3d1rPj4+CY/r41t/vz56NKli9xlADDd36H6uvP9rFy5Eq1atbqrYzbEMahlYlAhk7Bt2zasXLkSmzdvRnJyMjp27NgorzNo0CC88sorOtsiIiKQnJysc+E4uZ07dw4LFizA//73PyQnJ2PkyJFylySrmsLaa6+9hl27dslTUAvz2GOP4eLFiwbv7+/vj48//viujkFUqcVdPZlMU0xMDDw9PfVedKy4uBiWlpaN8tqWlpbw8PBolGPXV0xMDABg7NixjXr59MbUmJ8ZANjZ2cHOzq7Rjm/uhBAoKyuDSnX3/5u3traGtbW17MegloktKiS7yZMn46WXXkJCQgIkSYK/vz8GDRqEF198EbNmzYKLiwuGDRsGAPjoo4/QqVMn2NrawtfXF88//7zOlWkB4ODBgxg4cCBsbGzg6OiIESNGIDMzE5MnT8a+ffvwySefQJIkSJKE+Pj4Gpvtf/nlF3To0AFqtRr+/v5YvHixzmv4+/vj3XffxdSpU6HRaNC6dWt88cUXBr/n06dP45577oG1tTWcnZ3x7LPPat/H/PnzMWbMGACAQqEwKKiUl5dj4cKF8PHxgVqtRpcuXbBt27Zq+50/fx4RERGwsrJChw4dsHfvXu1jmZmZmDBhAlxdXWFtbY127dphxYoV2sevXbuGxx57DI6OjnB2dsbYsWMRHx+vfXzy5Ml44IEHsGjRInh5eSEoKAhz5sxB7969q9XRuXNnzJs3DwDw119/YdiwYXBxcYGDgwMGDhyIEydOaPf19/cHADz44IPa34/K81S166euc1DZ/bV+/XoMHjwYNjY2CAsLw+HDh7X7XLlyBWPGjIGjoyNsbW3RoUMHbN26tc7zX+ngwYMICwuDlZUVevXqhdOnTwMA8vLyYG9vj3Xr1unsv2nTJtja2iInJ6fW41bWvnbtWr2fX+Xv8fbt2xEeHg61Wo39+/dDCIEPPvgAbdq0gbW1NcLCwqrVsXXrVgQFBcHa2hqDBw/W+VyBmrttNm7ciPDwcFhZWcHFxQXjxo0DUNFqeeXKFbz66qvavzN9x/jss88QGBgIS0tLBAcH47vvvtN5XJIkfPXVV3jwwQdhY2ODdu3aYePGjbWeK2qGGv1qQkR1uHnzpli4cKHw8fERycnJIjU1VQwcOFDY2dmJ2bNni/Pnz4tz584JIYRYsmSJ2L17t4iNjRW7du0SwcHBYsaMGdpjnTx5UqjVajFjxgwRFRUlzpw5Iz799FORlpYmbt68Kfr06SOeeeYZ7ZWZS0tLtRfmyszMFEIIcfz4caFQKMTChQvFhQsXxIoVK4S1tbVYsWKF9nX8/PyEk5OTWLZsmbh06ZJYtGiRUCgU2jprk5eXJ7y8vMS4cePE6dOnxa5du0RAQID2QmA5OTlixYoVAoC2zrp89NFHwt7eXvzwww/i/Pnz4vXXXxcWFhbi4sWLQggh4uLiBADh4+Mj1q1bJ6Kjo8W0adOERqMR6enpQgghXnjhBdGlSxfx119/ibi4OLFjxw6xceNGbc3t2rUTU6dOFadOnRLR0dFi/PjxIjg4WBQVFQkhKi5gZmdnJyZOnCjOnDkjTp8+LU6fPi0AiMuXL2trPXPmjAAgLly4IIQQYteuXeK7774T0dHRIjo6Wjz99NPC3d1dZGdnCyGESE1NFQDEihUrtL8fQlS/kKKh5yAkJERs3rxZXLhwQTz88MPCz89PlJSUCCGEGD16tBg2bJg4deqUiImJEZs2bdK5GJ4+lb9DoaGh4o8//hCnTp0S9913n/D39xfFxcVCCCGeeeYZMWrUKJ3nPfjgg+Kpp56q8/iGfH6VNXTu3Fn88ccf4vLlyyI9PV3861//EiEhIWLbtm0iJiZGrFixQqjVarF3714hhBAJCQlCrVaLmTNnivPnz4vvv/9euLu76/xNrFixQjg4OGjr2bx5s1AqleI///mPiI6OFlFRUeKdd94RQgiRkZEhfHx8xMKFC3V+f+88xvr164WFhYVYtmyZuHDhgli8eLFQKpVi9+7d2n0q3/OaNWvEpUuXxMsvvyzs7OxERkZGneeMmg8GFTIJS5YsEX5+ftr7AwcOFF26dKnzeT/99JNwdnbW3n/iiSdE37599e4/cOBAMXPmTJ1tdwaV8ePHi2HDhunsM3v2bNG+fXvtfT8/P/Hkk09q75eXlws3NzeDriT6xRdfCEdHR5Gbm6vdtmXLFqFQKERKSooQQogNGzYIY/4d4eXlpf2iqNSjRw/x/PPPCyFuf9G999572sdLSkqEj4+PeP/994UQQowZM0ZMmTKlxuN//fXXIjg4WJSXl2u3FRUVCWtra7F9+3YhREVQcXd31waXSp07dxYLFy7U3p8zZ47o0aOH3vdSWloqNBqN2LRpk3YbALFhwwad/e4MKoaeg6+++kr7+NmzZwUAbcDs1KmTmD9/vt7a9Kn8HVq7dq12W0ZGhrC2thY//vijEEKIo0ePCqVSKa5duyaEECItLU1YWFhoA0NtDPn8Kmv49ddftfvk5uYKKysrcejQIZ3jPf300+KJJ54QQlR8HqGhoTqf7T//+c9ag0qfPn3EhAkT9Nbr5+cnlixZorPtzmNERESIZ555RmefRx55RCfMARBvvvmmzvuRJEn8/vvvel+bmh92/ZDJCg8Pr7Ztz549GDZsGLy9vaHRaPDUU08hIyMDeXl5AICoqCgMGTLkrl733Llz6Nu3r862vn374tKlSygrK9Nu69y5s/ZnSZLg4eGB1NRUg44fFhYGW1tbneOXl5fjwoULRtebnZ2NpKSkGms+d+6czrY+ffpof1apVAgPD9fuM2PGDKxduxZdunTB66+/jkOHDmn3jYyMxOXLl6HRaLRjQ5ycnFBYWKgdTwMAnTp1qjYuZcKECVi9ejWAinETP/zwAyZMmKB9PDU1FdOnT0dQUBAcHBzg4OCA3NxcJCQkNMo5qPq5eXp6amsAgJdffhlvv/02+vbti3nz5uHUqVMG1wDonl8nJycEBwdrX79nz57o0KEDVq1aBQD47rvv0Lp1awwYMKBex7/z86tU9e8mOjoahYWFGDZsmPZzs7Ozw6pVq7Sf27lz59C7d2+dLsaqr1OTxvw7q+3zsrW1hUajMejvjJoPBhUyWVW/yIGK8QOjRo1Cx44d8csvvyAyMhLLli0DAJSUlABAgwzWE0JUGxcihKi2n4WFhc59SZJQXl5er+NXPUZ91VSzIcer3GfkyJG4cuUKXnnlFSQlJWHIkCF47bXXAFSM/+jevTuioqJ0bhcvXsT48eO1x7rzMwOA8ePH4+LFizhx4gQOHTqExMREPP7449rHJ0+ejMjISHz88cc4dOgQoqKi4OzsjOLi4kY5B1U/t8rHKj+3adOmITY2FhMnTsTp06cRHh6OTz/91Og69NU0bdo07bifFStWYMqUKXc9WPrO51f9DCrf15YtW3Q+t+joaO04lZp+t+vSUINijf28Kp9jyN8ZNR8MKmQ2jh8/jtLSUixevBi9e/dGUFAQkpKSdPbp3LlzrVNWLS0tdVpFatK+fXscOHBAZ9uhQ4cQFBQEpVJZ/zdQ5fhRUVHaViCgYhCmQqFAUFCQ0cezt7eHl5dXjTWHhobqbDty5Ij259LSUkRGRiIkJES7zdXVFZMnT8b333+Pjz/+WDtAuFu3brh06RLc3NzQtm1bnVtd07p9fHwwYMAArF69GqtXr8bQoUPh7u6ufXz//v14+eWXMWrUKO0A5vT0dJ1jWFhY1Pq5GXMO6uLr64vp06dj/fr1+Mc//oEvv/zS4OdWPb+ZmZm4ePGizvl98sknkZCQgKVLl+Ls2bOYNGmSUbXV9fndqX379lCr1UhISKj2ufn6+mr3qXrcO1+nJg3xdxYaGtognxc1f5yeTGYjMDAQpaWl+PTTTzFmzBgcPHgQn3/+uc4+c+bMQadOnfD8889j+vTpsLS0xJ49e/DII4/AxcUF/v7+OHr0KOLj47XdF3f6xz/+gR49euCtt97CY489hsOHD+O///0vli9f3iDvY8KECZg3bx4mTZqE+fPnIy0tDS+99BImTpyo8wVujNmzZ2PevHkIDAxEly5dsGLFCkRFRWm7XCotW7YM7dq1Q2hoKJYsWYLMzExMnToVAPCf//wH3bt3R4cOHVBUVITNmzdrvzQmTJiADz/8EGPHjtXOrElISMD69esxe/Zs+Pj41Pme58+fj+LiYixZskTnsbZt2+K7775DeHg4srOzMXv27Gr/Yvf398euXbvQt29fqNVqODo61vsc1OaVV17ByJEjERQUhMzMTOzevduoL86FCxfC2dkZ7u7umDt3LlxcXPDAAw9oH3d0dMS4ceMwe/ZsDB8+vM7zdqfaPr+aaDQavPbaa3j11VdRXl6Ofv36ITs7G4cOHYKdnR0mTZqE6dOnY/HixZg1axaee+45REZGYuXKlbXWMW/ePAwZMgSBgYF4/PHHUVpait9//x2vv/46gIrP688//8Tjjz8OtVoNFxeXaseYPXs2Hn30UXTr1g1DhgzBpk2bsH79euzcudOoc0ItgHzDY4huq2kw7Z2DXoWomNnh6ekprK2txYgRI8SqVat0Bv0JIcTevXtFRESEUKvVolWrVmLEiBHaxy9cuCB69+4trK2tBQARFxdXbTCtEEKsW7dOtG/fXlhYWIjWrVuLDz/8UKeOmgYLhoWFiXnz5hn0fk+dOiUGDx4srKyshJOTk3jmmWdETk6O9nFjB9OWlZWJBQsWCG9vb2FhYSHCwsJ0BhxWDsZcs2aN6NWrl7C0tBShoaFi165d2n3eeustERoaKqytrYWTk5MYO3asiI2N1T6enJwsnnrqKeHi4iLUarVo06aNeOaZZ0RWVpYQomIw7dixY2usLzMzU6jVamFjY6PzPoUQ4sSJEyI8PFyo1WrRrl078fPPP1c7vxs3bhRt27YVKpVK+3ty52BaQ8/ByZMndeoCIPbs2SOEEOLFF18UgYGBQq1WC1dXVzFx4kTtrJraVP4Obdq0SXTo0EFYWlqKHj16iKioqGr77tq1SwAQP/30U53HvbP22j6/mn6PhagY6P3JJ5+I4OBgYWFhIVxdXcWIESN0ZjNt2rRJtG3bVqjVatG/f3/xzTff1DqYVgghfvnlF9GlSxdhaWkpXFxcxLhx47SPHT58WHTu3Fmo1Wrt73FNx1i+fLlo06aNsLCwEEFBQWLVqlU6j6OGQdQODg46M/Co+ZOEqEcHJRER1cvq1asxc+ZMJCUlGbwgXnx8PAICAnDy5EmTuWwAUVNh1w8RURPIz89HXFwcFi1ahOeee65RV+0lak44mJaogb377rs6U0Gr3up7zR59x7Ozs8P+/fsb+B3QnaZPn673/E+fPt2gY3zwwQfo0qUL3N3dMWfOHJ3HGuN3hqi5YNcPUQO7ceMGbty4UeNj1tbW8Pb2NvqYly9f1vuYt7c3r6HSyFJTU5GdnV3jY/b29nBzc7ur4zfG7wxRc8GgQkRERCaLXT9ERERkshhUiIiIyGQxqBAREZHJYlAhIiIik8WgQkRERCaLQYWIiIhMFoMKERERmSwGFSIiIjJZ/w8bCyHMLc1eOgAAAABJRU5ErkJggg==",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"wvu.util.lift_curve_plot(\n",
" prediction=d['x'],\n",
" outcome=d['y'],\n",
" title = \"lift curve plot\"\n",
")"
]
},
{
"cell_type": "code",
"execution_count": null,
"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": "3.9.15"
},
"vscode": {
"interpreter": {
"hash": "16b0e5d5767f1547f103bb3d27695accddeb3638cc23a8b7d882c8f834983bbf"
}
}
},
"nbformat": 4,
"nbformat_minor": 4
}