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Stats - Interpreting Pearson's Correlation Values
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{
"cells": [
{
"metadata": {
"ExecuteTime": {
"start_time": "2017-10-03T03:32:47.504436Z",
"end_time": "2017-10-03T03:32:48.609498Z"
},
"trusted": true
},
"cell_type": "code",
"source": "import pandas as pd\nimport numpy as np\nimport matplotlib.pyplot as plt\n%matplotlib inline\nimport seaborn as sns\nsns.set_style('whitegrid')",
"execution_count": 1,
"outputs": []
},
{
"metadata": {},
"cell_type": "markdown",
"source": "### Conclusion"
},
{
"metadata": {},
"cell_type": "markdown",
"source": "1. Higher Correlation - Pearson's correlation value is closer to 1 (pos), -1 (neg), P_Val ~ 0\n P_Val = 0\n Pearson's correlation value is closer to 1 (pos), -1 (neg)\n Joint Distribution shape is approximately straight line\n2. low Correlation - Pearson's correlation value is closer to 0, P_Val > 0\n P_Val >>> 0\n Pearson's correlation value is closer to zero\n Joint Distribution shape is approximately a circle "
},
{
"metadata": {},
"cell_type": "markdown",
"source": "### Perfect Correlation "
},
{
"metadata": {
"ExecuteTime": {
"start_time": "2017-10-03T03:48:26.882984Z",
"end_time": "2017-10-03T03:48:26.889149Z"
},
"trusted": true,
"collapsed": true
},
"cell_type": "code",
"source": "from scipy.stats import pearsonr\n",
"execution_count": 24,
"outputs": []
},
{
"metadata": {
"ExecuteTime": {
"start_time": "2017-10-03T03:50:02.482643Z",
"end_time": "2017-10-03T03:50:02.493613Z"
},
"trusted": true
},
"cell_type": "code",
"source": "corr_value, p_val = pearsonr(df['signal_1'], df['signal_2'])\nprint('Correlation Value: {}, P Value: {}'.format(corr_value, p_val))",
"execution_count": 27,
"outputs": [
{
"output_type": "stream",
"text": "Correlation Value: -0.9675987490789111, P Value: 0.0\n",
"name": "stdout"
}
]
},
{
"metadata": {
"ExecuteTime": {
"start_time": "2017-10-03T03:35:46.901561Z",
"end_time": "2017-10-03T03:35:46.919800Z"
},
"trusted": true
},
"cell_type": "code",
"source": "def generate_sample(signal_1_noise_level,\n signal_2_noise_level,\n mean_range_std, size=1_000):\n \n signal = np.linspace(0,100, size)\n noise_1 = np.random.normal(signal_1_noise_level, mean_range_std, size)\n noise_2 = np.random.normal(signal_2_noise_level, mean_range_std, size)\n return pd.DataFrame(data={'signal_1': signal + noise_1, 'signal_2': signal + noise_2})\n",
"execution_count": 3,
"outputs": []
},
{
"metadata": {
"ExecuteTime": {
"start_time": "2017-10-03T03:52:01.476678Z",
"end_time": "2017-10-03T03:52:01.482410Z"
},
"trusted": true,
"collapsed": true
},
"cell_type": "code",
"source": "results = {}",
"execution_count": 30,
"outputs": []
},
{
"metadata": {
"scrolled": true,
"ExecuteTime": {
"start_time": "2017-10-03T03:52:01.897676Z",
"end_time": "2017-10-03T03:52:05.966937Z"
},
"trusted": true
},
"cell_type": "code",
"source": "df = generate_sample(signal_1_noise_level=5,\n signal_2_noise_level= 5,\n mean_range_std=0)\nfig = plt.figure(figsize=(20,20))\n\ndf.plot(ax=fig.add_subplot('221'))\nsns.heatmap(df.corr(), annot=True, ax=fig.add_subplot('222'))\nsns.jointplot(x='signal_1',y='signal_2', data=df )\nsns.jointplot(x='signal_1',y='signal_2', data=df, kind='kde')\n\ncorr_value, p_val = pearsonr(df['signal_1'], df['signal_2'])\nresults['perfect']={'Correlation': corr_value, 'p_val': p_val}\nprint('Correlation Value: {}, P Value: {}'.format(corr_value, p_val))",
"execution_count": 31,
"outputs": [
{
"output_type": "stream",
"text": "Correlation Value: 1.0, P Value: 0.0\n",
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
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NZmDmTGUVFRUpJSVFKSkp+uqrr3T27FmtXbv2op9HOQMAgI8oOXNa2/8ySPEFiUqLuUdd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\nfsYGX85Yamr01cIkmb95S9kteits4ma1aOVndCwAAAAAAFC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"text/plain": "<matplotlib.figure.Figure at 0x7fc83cab3a90>"
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"image/png": 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"text/plain": "<matplotlib.figure.Figure at 0x7fc83c96df60>"
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"image/png": 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E4crVEc8OlNbghEhMG5qAwwWleGTpTpcFy+0nWBQXF0On0wEAIiMjUVxcDAAw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\nkWiJIfa5GSoi71VWbcS8dbn4+XIFPnm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"text/plain": "<matplotlib.figure.Figure at 0x7fc83c96db00>"
},
"metadata": {}
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "### High Correlation "
},
{
"metadata": {
"scrolled": true,
"ExecuteTime": {
"start_time": "2017-10-03T03:52:21.098303Z",
"end_time": "2017-10-03T03:52:25.626623Z"
},
"trusted": true
},
"cell_type": "code",
"source": "df = generate_sample(signal_1_noise_level=5,\n signal_2_noise_level= 5,\n mean_range_std=10)\nfig = plt.figure(figsize=(20,20))\n\ndf.plot(ax=fig.add_subplot('221'))\nsns.heatmap(df.corr(), annot=True, ax=fig.add_subplot('222'))\nsns.jointplot(x='signal_1',y='signal_2', data=df )\nsns.jointplot(x='signal_1',y='signal_2', data=df, kind='kde')\ncorr_value, p_val = pearsonr(df['signal_1'], df['signal_2'])\nresults['high']={'Correlation': corr_value, 'p_val': p_val}\nprint('Correlation Value: {}, P Value: {}'.format(corr_value, p_val))",
"execution_count": 32,
"outputs": [
{
"output_type": "stream",
"text": "Correlation Value: 0.8916810213724641, P Value: 0.0\n",
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"image/png": 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BnO5ERETUSH/5eCcA4PbRZ/nsbamVNE37xSS0fx0AoJ+0M52jISIiImqVGNIQERFRk0Ma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"text/plain": "<matplotlib.figure.Figure at 0x7fc83cb85e80>"
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
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A3D8p8gaRtKZFEAlKJM4K4vSXkgGtmKL/h4evUvX9CzaacNQ44Wrv0jd4AG2d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\nvxYerw8vffIlCjIuAPBfP+fJNqRxl32YBvYz4V9vykFBxgX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"text/plain": "<matplotlib.figure.Figure at 0x7fc83c51cd30>"
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"image/png": 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b2i0aN3eNwutbTyLrbLnS5diNoUWkMfa+QUsNLHeE1bVfzxZOE8qvqZuwC6KC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\nQRERcQ2FloiIuIZCS0REXEOhJSIirvEDnZL2J2Y0MwEAAAAASUVORK5CYII=\n",
"text/plain": "<matplotlib.figure.Figure at 0x7fc83d0ae668>"
},
"metadata": {}
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "### Medium Correlation "
},
{
"metadata": {
"scrolled": true,
"ExecuteTime": {
"start_time": "2017-10-03T03:52:40.447575Z",
"end_time": "2017-10-03T03:52:44.588019Z"
},
"trusted": true
},
"cell_type": "code",
"source": "df = generate_sample(signal_1_noise_level=5,\n signal_2_noise_level= 5,\n mean_range_std=20)\nfig = plt.figure(figsize=(20,20))\n\ndf.plot(ax=fig.add_subplot('221'))\nsns.heatmap(df.corr(), annot=True, ax=fig.add_subplot('222'))\nsns.jointplot(x='signal_1',y='signal_2', data=df )\nsns.jointplot(x='signal_1',y='signal_2', data=df, kind='kde')\ncorr_value, p_val = pearsonr(df['signal_1'], df['signal_2'])\nresults['medium']={'Correlation': corr_value, 'p_val': p_val}\nprint('Correlation Value: {}, P Value: {}'.format(corr_value, p_val))",
"execution_count": 33,
"outputs": [
{
"output_type": "stream",
"text": "Correlation Value: 0.6580920573412252, P Value: 3.8797988352534946e-125\n",
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"image/png": 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MpCEiIiJKFYM0RESUWXveAVqPAR880eGH7ip1at3ncaw5FH+D9b/FGepefCO4KrkDKQH9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EnGPv07wEdXZ5wsgEFE08/JGOZN7sbh8yZmr617H3XXIiKNMn65uDZXJo1ymlKjplT9Fn5Vl7Rm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\n2Nud2rO7U0Q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"text/plain": "<matplotlib.figure.Figure at 0x7fc843194470>"
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
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MmYPU1FS8+OKLWLJkCc6cOQO/349bb70VgwYNwv/7f/8Ps2bNQk5ODoYNG4bGxkbmfleu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"text/plain": "<matplotlib.figure.Figure at 0x7fc83cfa26d8>"
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
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IVE4AUHqmUe4yHIKhRUTkBE6c7vzmo86GoUVE5AQKqxhaRESkAgHeHgwtIiJS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\nAKnxCeQSiNqadIJwAAAAAElFTkSuQmCC\n",
"text/plain": "<matplotlib.figure.Figure at 0x7fc837f9c320>"
},
"metadata": {}
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "### Low Correlation "
},
{
"metadata": {
"scrolled": true,
"ExecuteTime": {
"start_time": "2017-10-03T03:52:50.017344Z",
"end_time": "2017-10-03T03:52:54.491724Z"
},
"trusted": true
},
"cell_type": "code",
"source": "df = generate_sample(signal_1_noise_level=5,\n signal_2_noise_level= 5,\n mean_range_std=50)\nfig = plt.figure(figsize=(20,20))\n\ndf.plot(ax=fig.add_subplot('221'))\nsns.heatmap(df.corr(), annot=True, ax=fig.add_subplot('222'))\nsns.jointplot(x='signal_1',y='signal_2', data=df )\nsns.jointplot(x='signal_1',y='signal_2', data=df, kind='kde')\ncorr_value, p_val = pearsonr(df['signal_1'], df['signal_2'])\nresults['low']={'Correlation': corr_value, 'p_val': p_val}\nprint('Correlation Value: {}, P Value: {}'.format(corr_value, p_val))",
"execution_count": 34,
"outputs": [
{
"output_type": "stream",
"text": "Correlation Value: 0.26352128088135907, P Value: 2.390299220986877e-17\n",
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"image/png": 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fR3l5uWabZ555BkVFRXjttdcwd+5czJ492/W+egzeEBFRDuBS4URERESUJkkM/kOntLQU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z6PP+t8E0956NPSfskTGEf/lAxa/o4x5XNz5U1HkDqJGTblNizmyDMLaVbu5B90rnK2G5q8C48N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\nIN7zRoyFkW1KPtOUA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9mmdEI3OgzJUJHV/TuIZdX3QnlTfP7so94D/O02dV96s+COcMKo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\nJFj79u3DW2+9Jd2TkpISVFRU8L4ErKurC4cOHUJnZyc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"text/plain": "<matplotlib.figure.Figure at 0x7fc83c36e0b8>"
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
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GN7Bhw4Z4DyNlmTlzJmbOnBnvYRAEEUcSRvqKIAiCICKBDBpBEASREpBBIwiCIFICMmgE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\nLaJ8n9MG4MlptwScfK1U0i8dsaUmJ2DzY5NxfPVMvyNw9BSTDB/i8Hu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"text/plain": "<matplotlib.figure.Figure at 0x7fc83cbe9e48>"
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
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zSD7LsbW1FYsWLcKcOXMwffp0AEBYWBjKy8sBAOXl5QgNDQXQ3pGVlZV1vNZk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\nazE6tC+GGTlRS5sFb207AZ2nB969fRR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6vK7uapDqcwsPD+/4fyl+flpbW7Fo0SLMmTMH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\nRU5ErkJggg==\n",
"text/plain": "<matplotlib.figure.Figure at 0x7fc83cc0ce80>"
},
"metadata": {}
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "### Zero Correlation "
},
{
"metadata": {
"scrolled": true,
"ExecuteTime": {
"start_time": "2017-10-03T03:53:03.602066Z",
"end_time": "2017-10-03T03:53:07.740259Z"
},
"trusted": true
},
"cell_type": "code",
"source": "df = generate_sample(signal_1_noise_level=5,\n signal_2_noise_level= -5,\n mean_range_std=5)\ndf['signal_1'] = np.random.normal(1,0.1,1_000)\nfig = plt.figure(figsize=(20,20))\n\ndf.plot(ax=fig.add_subplot('221'))\nsns.heatmap(df.corr(), annot=True, ax=fig.add_subplot('222'))\nsns.jointplot(x='signal_1',y='signal_2', data=df )\nsns.jointplot(x='signal_1',y='signal_2', data=df, kind='kde')\ncorr_value, p_val = pearsonr(df['signal_1'], df['signal_2'])\nresults['zero']={'Correlation': corr_value, 'p_val': p_val}\nprint('Correlation Value: {}, P Value: {}'.format(corr_value, p_val))",
"execution_count": 35,
"outputs": [
{
"output_type": "stream",
"text": "Correlation Value: -0.04176338540089836, P Value: 0.18696921784393525\n",
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"image/png": 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6V8YkVOY4Vz0qsC8nbSooNqpatq6Kv05Fg9krp1v8+sZgUzs/bFlNSZIGHi8d\nf1lq5wIAALQDI0aM0MaNG7Vp0yY1NDRo6dKlGj9+vO2YPn366O2335Yk7dixQ1988YX69++f9LrJ\nO8oAANAemKFKYwvDmJd+bXnPozImHPKuPHGGMQlLUFt6wfgt36IDxfYpTgUd4sFS78OlbWvc72eO\no4MZxqQ7TSlkH8v5L6Z2HgAAQDZ4VK9kU0FBgebOnatZs2YpFAppxowZGjJkiBYuXChJmjlzpubM\nmaNrrrlGU6dOVSQS0ZVXXqmSkpLk183F4AEAyCszVAjWeh+TSgPf8o+83zPDmUgaYYxToFCxqhVb\nZUyRPagJFMXDmGN+Yu8143rf5oYxZs8ZflwAAAD7r3HjxmncuHG2fTNnzoxtl5aW6i9/+Uta1+Sn\nKwBA+2f2cElaGePWMybZqkiO44P18XO8zivq7NiR6jSlDvaVlwqKpXrLeWVHJBmn4pUxZnVNqktv\nx8KYFFZvAgAAyLZUf6HUBtAzBgDQPtXsiocOZqiQbmWMcypSMmaz3GRLWze1RLTf8n7AOk2pyD6l\nKd2GusXOMIbKGAAAgHzipysAQPsQicQDi23rpPuOlab+QTr6v+KVKqn2jHnh59KAY5M38HUyK2Mi\naSxt7dYzxquBr7U6JdWlra3Xtd4/1TDGPI4wBgAAtAKRcIrVvW0AlTEAgPbB2sNl+zrjef3LxrMZ\nKqRaGfP+g9KzF0pL5iS/pzVcMXu4hIPelTGRSGJVy2HfiW/7C+TeM8Y5TamZS02nG8aYf6aEMQAA\nABlFGAMAaLusFSiuU4p89uPSXU2pKdbAxLx/OOTd6T8SdoQxPunsh6TBE4yX3frGK2P8zmlKlm/Z\ngRSXth52utTxAMvtmKYEAADasHA4u48c4qcrAEDbZZ1GZFvdyFHCalaqBLMQxjivmaxnTCSU2Dem\noFiq3W1s9z5c3pUxPvs5qfj+Y/bXaU9TMpe2poEvAABAJlEZAwBoWxpqpDfmGaGHNYCxBjNmdYnP\nWRnjMU1p1xfSigfTH4tbQ163njEHDIqPw62qxQxeeg/36BlTZA9QUg1jEkT/PFKujDHDGH53AwAA\nWoFIOLuPHMrIT1cPPfSQnnrqKfl8Pg0dOlS33XabamtrdcUVV2jLli3q16+f5s2bp+7du2fidgCA\n/dn/3SK9fY8xpWfI5Pj+ULJpStGgxmt1pIfPkCq/Sn8sfpcwxlkZc8RZ0jd/JD1yhss0paiz/ypt\nfl/qVKIe4HUOAAAgAElEQVR4ZYx1ZaVi+w8IbvdNhRlOpbq09fT7pH/9Ruo1rHn3AwAAgKsWV8ZU\nVFTokUce0TPPPKMXXnhBoVBIS5cu1fz58zVmzBgtW7ZMY8aM0fz58zMxXgDA/q5uj/HcWGuvhgm7\nTFPa/qm04V/xICPksTpSXWXzxjJ6VuK+z5dLHz4Rf91jQHx6UDhkb75rhiPd+kqHnxEdusdqSs6V\nmJrDl2ZlTJ+R0syFTS/JDQAAkAvhSHYfOZSRaUqhUEh1dXUKBoOqq6tT7969tXz5ck2fPl2SNH36\ndL388suZuBUAYH9nfp/0+ezVMG6VMdvXSo9Mi0+3CTW4X7O5YUOvw6Rzn07cv3dzfNtfaOnVEnKv\njLHxCmMsfVuaW0YbG0f7WRYSAACgLWrxNKXS0lL95Cc/0cknn6zi4mIdf/zxOuGEE7Rz50717t1b\nktSrVy/t3LnT8xpr165t6TCQQXV1dXxNWiG+Lq0PX5PmKVn3mPYOGK9g5z7NOr/Pnt3qIWnr1+Wq\nDq/TkOj+z9d/qoZtDSr86nVtCVern+WcmuoqdZKkcKPWrlljb4Yr6dCIT82JYzZtLVc4UKyBSY7Z\nvmu39nbao8GS9gR6qrhxjzpG3wuGQvqP4+/QIfX1Kpb01ZavdVB032cbvtTBoXBsjJs3b1Kn3btV\nIqm8vFy7U/x76G9o0GGStg78rir5uwsAANqaHK94lE0tDmMqKyu1fPlyLV++XF27dtVll12mJUuW\n2I7x+XzyOX7wtRo+fHhLh4EMWrt2LV+TVoivS+vD16QZKjdLT9yt0q+XS3Pebt411hn9x/r27SsN\njMcggwceJFVtlt6+KuGUTh3iDW+HHzbEqIR5/y/SO/dLl6yQ/tlJ8ujtm8yAgYdIHbpLr3of06u0\nj3odd5pU8pR6DDrBqNSJLp5UMOjbiX+HXjIil4MOHiy9ZuwaOnyE9GqxVGO87t+vr9RgLFldVlam\nsnT+Ho6sVF9JfVM/o8VWrlyZw7sBAAC0fi2epvTWW2+pf//+KikpUWFhoSZPnqxVq1apZ8+e2rZt\nmyRp27ZtKikpafFgAQBtnNnjpX5fCy4Sm6dkX7Uo3Cjtq/A4xXLcKzcbzy9cIe34zNhu7jSlQIHU\n+cDkx5grEQ2dLBV1ik8/mrVcOtOln5pXzxjrikYDj2/eeAEAANqycDi7jxxqcRjTt29fffjhh6qt\nrVUkEtHbb7+twYMHa/z48Vq8eLEkafHixZowYUKLBwsAQKxfis/v6BkTVGz1JCdraPPmPMeS2KHm\nr04UCdvDmGGnS4ecZD/GeW0z+On7Tamos/e1recFiuJhzIwHmw6AAAAA0Kq1eJrSyJEjdcopp+i7\n3/2uCgoKNHz4cJ1zzjmqrq7W5Zdfrqefflp9+/bVvHnzMjFeAMD+zqwc8fkSV1PyWnHIGsZI0h7L\nMtbB+uZXxtTuloq6GM11IyFj9SF/gbGCk8l57YJiST7J7/X7EJelrX0+yR9wvx4AAMD+oh0tQtDi\nMEaSLr30Ul166aW2fUVFRXr44YczcXkAQHsRC1LSOOf130kHHiYNP928iGIXCTtWU/IKYyKOMGbX\nF5bzGlJY4chDySFGUNKpRKrebgQmzmoXf8D+OlCYuM821mjlj3NM5mpKza3iAQAAQKuRkTAGANBO\nXN9dOuYn0um/z/KN0khjlt9oPF9faTxbK2NC1sqYYOqVMVtXxbebE8bM/F9pwLFGCCNJHaNhjC8g\nFXayH5swTcmxTLUXZwWMWUlDZQwAANhftaPVlFrcMwYA0M68/5csXjwTpaXWyhhLGBMJJyxZHRNq\nsL9e+VB8uznTlHyBeBAjScVdjGd/wGjSa+V3/N4jUNREZYx5D8e3aPM6zusBAADsL8KR7D5yiDAG\nAJA71qqWTFwjWBffHw55XzdYLxV0iL/euzm+3ZzKGGeYYla/+AJSoWOakjPoCRQ2EahE3O/ho2cM\nAABAe0EYAwDInYilqiUTanbFt5NNUwo5whjbexkIY8yAxK0yplNPx+sSqbib97W9/oxi98zQnx2A\nVuN/br1LJ572fU3/4cX5HgqQF7+/60atW/OGPlj5ko4adYTrMYMGDdBbbzyvdWve0OOP3a/CQvsv\nJ445eqTqar7UmWeeJknq37+vXl72lFZ/+H/68N+v6GeXXJD1z4EciISz+8ghwhgAgCGb3elXPSYt\nuiixkW7dXunr1WlezDLOmh2W3SF5BhWNdVJhR/f3mjtNycqsdPH5Exv4dh9gf33CFdKPn0tycY+v\ng3lP558hgDZv+ncm6YG7bs73MIC8OHXKeA059GANO/wEzZ79C917z22ux91267Wa98c/a9jhJ2j3\n7kr95PyZsff8fr9uu/VavfTSq7F9wWBQV119g44cebKOP2GqZs/+Lw0fPiTrnwdIFWEMAMDQ0t8G\nrHnOCF3cLJkjrf7feCNdczrRY2dLfxqbWhBkHmOdplSzM/5+OCjPICNYF11SWolBSsM+ad+2pu9v\nG4sjELFWxvQaZn+vW1/76w7dpZ6Dk1zbYyqXWRlj9sk58Spp6BTpyO+lPm4ArdIxo0aoe7eu+R4G\nkBdTp56ivz32tCTp3fc+UPce3VVW1jvhuJNPOl7PPLNUkvS3vz2laWecEnvvkp/+RIueXapt2+M/\nF5SXb9Oqf38sSdq3r1rr1v1H/fqWZfOjIBfoGQMAaHecKw6l68nzjNAlmViIEQ0aNr2TeO+Nb0qV\nWxLPbag2LxK/RrWlMiYcTvIZIlJBtDKm2PE/PE/+WPrqreTjdrI2Dpbi05x80aWt57wbf885bakp\nBwyKXrPYvj8WxkRDs65l0g+eMMIdwMObb76Z7yEAQFL9+pZp86atsddbNn+dEJr07HmA9uypVChk\nfJ/fvOVr9e1nHNO3b5mmT5uiB/70iOc9Bg7sr1Ejj9C7763yPAbINcIYAIDBGTBkg1l94/NJ5R9Z\n7t0Y337oO9IDx0ePt/yGom6PfZ9ZGWMGIZFQ8uoeszKmwBFyWKc6pSrk+LOKrXQUDUx6DzOmIx18\nYvrX/v5j0jmPSV162fcPOM547spv9ZC6a6+9Nt9DAICsuut3N+iaX92qiEeVbefOnfTkE3/Wz6+8\nTlVV+3I8OmRaJBzO6iOXWB8TAGDIRS8Ss3KlsU564IT4/lCj0dPF/EGqdnf0eEvo0WiunGSZrlSz\nS+rc21gdKVkDXyneM8ZZcdIc1vBIik9Tsk6Bmnh9867dqUQafnri/hOvMvaXfqN510W7dfHF3k1f\n9+zZk8ORAEBqZl/8Y11wwbmSpPff/7f6D4hP6e3Xv4+2bC23Hb9z52716NFdgUBAoVBI/fv10dYt\nxjFHf/NIPfbofZKkAw8s0alTxisYDOq55/6pgoICPfXEn7Vw4bNavPjvOfp0QGoIYwAAhlxUxpj3\ncFawmPtDje77JWPVI8nSOyZsrJJkTgMKhyRfkrm+ZkWM32+EJi0Jn5x/VubS1tkMtPx+ghi4Wrly\npe6880516mSfEheJRLR6dboNsgEg++5/4GHd/8DDkqTvnDpBc2b/l554YomO/dY3tbdyr8rLE3u5\n/evVtzRjxml68snndN55Z+u555dJkoYcNiZ2zIMLfq+lL76s5577pyTpz/N/p7Xr1mveH+bn4FMh\nJ3Lc1yWbmKYEADC0pDRz2a9TOy5Y577fDDcaa9z3S/EwxhSJGAGMdZpSskDJ7Bnj88enFSUz26OP\njL9AGni8fV8gej1nmATkwMiRI9WhQwd961vfsj2OPfZYHXzwwfkeHlJw1XW/0bkXXaGNX23WhOk/\n1DPP/zPfQwJy5sW/L9eGL77Sp2vf1AMP3KFLfvar2HvPL3lEffqUSpKu+dUtuuKyC7VuzRvq2fMA\n/eWvC5Ne9/hvj9Z5PzxLJ5/8bb2/YpneX7FMp04Zn9XPAqSDyhgAgKEllTFv/TG148ypRs7KGDPE\naKx132/dNs+NhI0AxgxjwqHEFYisApblpwOFRlVNMj0Osr/ueaj0nTulwS4/yJmVMdmoLjIb+gIe\nFixY4PneY495rHCGVuXOG36Z7yEAeXXpZe79raZO+1Fs+4svvtKY412m8VpcMOuK2Pabb61QQVG/\nzAwQrUdLV/9sRaiMAQAYctEzJhgNWxKmKTXa35eknZ/bV0dym6YUDtvDmGQrQpn9ZFKtjHH2lhk9\nyz2IkeI9Y5zVOy11+UfSRa9l9prYb51zzjn5HgIAAIgijAEAGHLRMyZoVqM45vvGGvtawpi7v+kx\nTckSxkRCUoEZxgSThzFmAFPcNcUwpjD5a7drZ3qaUo+DWLoaGVNf30Q1GAAArV04kt1HDhHGAAAM\nqYYxDTXS679LXN45FY0elTFe05TCbtOUrJUxoXgFSySUvLqn1zDp5P+RvvdI8mDF5JzylGwVJvN6\nzlWWgFbEl2waHwAAyCl6xgAADKk28P3XrdJbd0td+0qjZqZ3D7OBb8RZGWOGMak08HVUxth6xiT5\nDD6/dOKVxrY/hTDGybxPsveaE1ABAAAgNS1ZcKKVIYwBABhSrYyp2R09vhlVIF6VMbHVlJyVMU31\njLFOU2qiga8/4L6dqqTTlKiMQesXcYagAAAgb5imBAAwpNrA1wxOUum74mT2jHH+T2HIY2lrt9WU\nzMqYN+dJu79wLG1t+QxDTrFfy2cJYFKZpiTZG/Ymq4w5+r+kg8ZIo/87tesCeXDHHXfkewgAALRM\nO+oZQ2UMAMCQrDLms2VSl95S31Hx6g+f3wg/0qkyia2W5DVNyVkZ4zJNyQxydm80nv0FknzGsT7L\n7xh8jt832MaZYu+M856VHp0hrX9ZKkjSM6ZLL+kn/0jtmkCGHXXUUa79YCKRiHw+nz744ANJ0tCh\nQ3M9NAAA4IEwBgBgMKtKnCGGJD1+tvF8fWU8IHn2IumL16Tp96V+j0azZ4xXA980esaYfH4jaGmq\nZ4ytkieN33yY1TypVtMAObZq1ap8DwEAgNxw/gzZhjFNCQDaq1WPSf+4JvXjY1N8mqgasTapNatT\nUhX0CGPM0KV+n/t+KXE1JZM/YAQtzmlKTtaQKZ1lvCffJJUdKfUfnfo5QB7t3LlTW7dujT0AAEDr\nQ2UMALRXS+YYz1NuS+34SJLKGCtrk1qzaiRVTYUx+yrc90tJKmMCxsPawPfK/0gvXmU/zjpNKVkY\n06mnNPb/xV/3PUq6+HXv44FWYvny5br99tu1bds2lZSUaOvWrRo8eLCWLl2a76EBAJAZOe7rkk1U\nxgAADGZAkWxFIsnRVDfNMCa2mpKzgW/0mlXl7mOSEnvGmPyB+DSlcEihgk5Gf5virvbjrA18ky1B\nfcn70pifJv8cQCv0hz/8QU888YQGDRqkV155RQ899JBGjhyZ72EBAAAXhDEAAEOynjG24yxBRrDB\n+zg3sdWUPCpjnGHMuhfj287VlEy+aBhTXyXV7Y33hinuZj+uax/L/Rrj5zo19fmBVqqgoEAHHHCA\nwuGwwuGwjjvuOH388cf5HhYAABkTCYez+sglpikBAAyxyhhLGLH3a+md+9yPkyxTh1L02d+NZ89p\nSo4w5t37E+/lVhnjC0j/ftR4u7iHsd9ZGdN7WOL9vvewVNhJevTM+HuEMWijunXrpurqao0ePVpX\nXnmlSkpK1KlTp3wPCwAAuCCMAQAYzIDEGkYsni1t+D/7cS0JY+I3s7+MTVOqSDzUeS9nGGOupmR9\nLSWGMd36x7fNKqAOPewVM9bzgTbmvvvuU3Fxsa655ho9//zzqqqq0k9/ypQ7AEA70o56xhDGAEBb\n1lAtvXSdNPE6I3zYtk5q2Cf1Pyb9a8VCFkvPGOdS05K9Z0yqDXz9hfbGv85AJdxo9JNprPa+htc0\nJX/A1vg3Yk49Ku5iPJcMlk64XPJbQhbzWoUdpYDjW2FTPXOAVspaBfPd7343jyMBAABNIYwBgLZs\nxYPSij8bQczE66T7jjX2X1+Z/rXcesa4rTpkXT7arTKmsdYIOaw6dJNqdlp2OMOYoFSzK/n4PCtj\nAu6vzcqYsiOkb/7Icb9oGFPQwQiKbO8lWR4baMWWLVum3/72t9q5c6cikYgikYh8Pp8++OCDfA8N\nAIDMoDIGANA6RL8hNXu6kIUZvNRXSpVbpO79PMKYJipjbilLDIPCQaM3i1uljWSsbrTyr8nHl6wy\nxiL27kFjjOdR5yZey/xchR2lgCWMGfXDxOlNQBtx55136oEHHtDgwYPzPRQAALLD2XewDWNiPAC0\nZWYVSLJvTKl2ho9YKkLu/Vb0XJcqEVvPmPrEShXXMYSM/iye7zdKr92Z/Bo1O6LjTF4Z4zeX2+7W\n1wiFhp7ifc3CjvHVl3wBafq9TFNCm9WzZ0+CGAAA2ggqYwCgLTOrQpJNrYmE1GT2XrlZqt8Xf90Q\n3bb2hzE597kd4xQOSR0PkKq2ur9vvYbPnxguHTtbem++VL3DHhpJ9l4wkvyhuqbHYyroEK+MaUe/\nacH+6YgjjtDll1+uiRMnqqioKLZ/8uTJeRwVAAAZxDQlAECrYFZ1uE0nMoWD9qk4TpGI9PtveJ/b\n1L5QCk18w0EjjPFinWbV8QB7f5nxv5ZKjzCWud79ZWLw5KyMCdY2PR5TYSfFJza1n2/u2D9VV1er\nY8eOevPNN237CWMAAGh9CGMAoC0zm+06q0WsQo1GGHJbf+mMuxOb2QaTVJK4XbdZlTFBqWOSaUqN\nlgClU097GBMoNPZJ0qZ3pK2OZqSOnjFpKSimYS/ajdtuuy3fQwAAIKsiVMYAAFqFVKYphYNS7W5j\n+43fJ4YxdXuTnOsWxjgqYZKFOVK0Z00keWWM2Q9m0o3Sqsfs7/kLpM7RMGb9y4nnOipj6rofqg7J\nRyR16y/t3Wz0hzH/DIee2tRZQKt28803J+zr0qWLjjjiCE2cODEPIwIAAF4IYwCgLUupgW8oPp0p\n5DLtqD5JGONW9eJcQanRZVpQJBJvhGtW1ySrjKncbDz7C5W4WpKlMqZyS+K51sqYi17Xxp1hDfO+\nk+G/l0u7NhjbPp90xSdSpwObOgto1err67VhwwZNmTJFkrHUdf/+/bVu3Tq9++67uvbaa/M8QgAA\nWojKGABAq2AGHk1VxpiBiNsS2HWVifus5zo5K2HcwphQgzEFyDq2Dt2972OGLP6CxNWSAgVScTcj\nlKnclHiutTKmz5GK7FnrfR9T1zLjYerev+lzgFbu008/1cKFCxUIGP9NzJw5U+eee64ef/xxTZ06\nNc+jAwAAVoQxANCWmUFHsp4x4WC8IibsUuniFcZ8+ER8+lAybmFMsM4SxkTvHSj2vsbeaBgTKJBr\nZYzPJ3U+UKr6OvFclqIGJEmVlZWqqalR165dJUm1tbXas2ePAoGAbXUlAADarHD7Wf2SMAYA2jIz\n6GhqNSUzhHGbdmROUyobIZV/FN//7IWJx7pNc2qsTtxnncpkji1Zo11zKW1/YWJljDnFqkN39zAG\ngCRp1qxZmjZtmo499lhFIhGtWLFCF198sWpqajRmzJh8Dw8AAFgQxgBAW2ZWxiSdphSKhzBuYYzZ\nwPecR6XHzpZ2fOZ9rZ3rE/d5VcaYzH42/hS+5fhdKmPMZbnNSpvCTlJjjf2YKb9J3AfsZ84++2yN\nGzdOq1evliRdccUVKi0tlST94he/yOfQAADIjHbUM8af7wEAAFrArHhJ2sA3KO35yth26xljVsZ0\nLJG6D0h+v/uOTdznFoI0WsKYVCpjTIFC6dBJ9n1miFPQ0Xgu7Jh43nGzpbH/r+nrA+3Q559/Lkn6\n5JNPtH37dvXp00d9+vTRjh079Mknn+R5dAAAwA2VMQDQlsWmKSWpjKncLD15nrHt1lumvsp4Luqi\nhKqUVDS6LG1trYzZV2E8p1oZc8qtUkGR9Nbdxj63yhjtjJ/jnNYE7Gceeugh3XTTTfrNb34T2+ez\n9FJ65JFH8jEsAAAyrx1VxhDGAEBbZk4RStbAt2pr8ms0VBsBh9/fvGDDrTJmz1fSn8ZKYy6RqncY\nQc+hE5u+lr/AaOJ70Jh4GBOrjOlgPBd2cpzUfr4pA81x0003STJWTzrxxBPVpUsX3XvvvVqzZo3m\nzJmT59EBAAA3TFMCgLbqzT9K/7rN2HZWxlRujm8nm8IkGWFKLOBoThjj0jNmy/vG89v3SKv/V+p9\neGrLR5tVMNbgJhbGmJUxjmlKVMYAkqT7779fXbp00fvvv6933nlHZ599tq6//vp8DwsAgIyJRCJZ\nfeQSYQwA5EqoUbr7GOmzf2bmei/9Or7tXLL699+wvJekakaSGmqkomgY06zKGJcwxrm6kxnEHPn9\n5NdyBi+SZZoSlTFAMoGA0Zfp1Vdf1fe+9z2ddNJJamx0adoNAADyjjAGAHKlqlza+R/phSsycz2f\n5Z/wYIMU9qiAcVtByaqxWirsbGw3VUXjer7LNKWqcvvr7v2M5+8+IB0wyPtabn1l/NEwpjAaxhQ5\nwxgAklRaWqq5c+fqxRdf1Lhx49TQ0KCw178LAAC0ReFIdh85RBgDADkT/Qfel6F/eq3XCTUkVseY\ngi6VK1YtroxxCWO+/tD+ulu0Msbnk0LBxONNZhWMVULPGKYpAW7mzZunE044QQ8++KC6deumPXv2\n6Oqrr873sAAAgAsa+AJArsSqTnxJD0uZNYwJBxOnBpncVjuyvZ9mz5jCTvYAxi2M2fGZ/XWnkvi2\nMzSadFN8ypXfEsb4AkZj4oBj6lKHHo6bEcYAktSxY0dNnjw59rp3797q3bt3HkcEAECGtaPVlKiM\nAYBcMSs4MpTF2C4UDnpPR3KGJZGI9Pxl0pYPjNcN1VJR5/h7TXE24m0q7JHsfV6s47zsQ+nbP4u/\n9gcs50QrYPyOnjEdHWEMlTEAAABoYwhjACBnsjlNqTFJZYxjmlLNLmnlQ9KjM6Lv18TDmFSqTDo7\nftPuvH7nXonnWPu8WMfp8xtTl0zWaUpmGOOculTUxXFxwhgAAID9QSQcyeojlwhjACBXYhUc2Zim\n1JikMsYRlpjThMyQo6E6XrmSSpVJtz7x7UBRvPLmiLOM50EnJJ5jNgiW7OP0BezH+V3CGPMY83OY\nFTImKmMAAADQxtAzBgByJTZNKWPzlOJCwdQb+AbrjWcz+GhIszKmW9/4dqA4HpKYn8vnNx7WlZmS\nVcZYWVdTMgOiUEN03HX2/TGEMQAAAPsFesYAANJmhhPJpimtf1na/WVq1zNDCskIYrymKX22zP7a\nrGQJFBgBUWO6lTH94tsFlsoYs+LHF5D+32dGPxiTNUCxhkbOP4uAJYwZeorx3KFbdNzR0KfQURlT\ndmTTYwYAAABaEcIYAMiVWFiSpDLm0RnSH1IIFyIRe6gRavReMrqhyvG62ng2pxiFg1KH7tHrhtWk\nI78X3w4Ux8MYM1jx+aUuvaQDBsWPK7JMU7JKqIyxTFOacJ0R6JgNg83pTQWWpa2vWCMNPrnpMQMA\nAKDtC2f5kUOEMQCQK5GQ8ZzKNCVnnxfTjvXSH4+SKjfb94eTTFNy+uJV49lfKNXuNrY7HmAOMvm5\nF/7LcqyMvjNmuGOuhORW+ZMwtUj2c2KvC+zvWQOdSTdKR/1QGj41vq+7pUoHAAAAaCPoGQMAuWJW\nxqSymlL9vngDW6t375d2bZA+etK+P9QobV6R2jiW32g8Bwqk2j3GthmwJKuMOfPPUt+j7PsKiuOB\njrUyxsmzMsYRTDlXTrLq1keadq/3+wAAAGjXcr3iUTZRGQMAuRI2g44UKmMiIemL16Rb+8XDDsmY\nWiQZYY1VsFb65/+kNx5bZUyP6H2TfIPrNSxxX6BYaoiOxaxqcav8cVbAmJI18E2m5BBp4PGpHQsA\nAAC0MlTGAECuxKYpeeTg4ZBlOyi9dqcRdGxdJQ0eb+yPLUe9L/F8Z2+YpgTSnKbkFqgUFMWraWJh\nTBo5v3lsoMhoSOwV2jhduir1ewAAAKB9oDIGAJC22DQlj8oY62pI4ZBUEF01yFyKWjIqUaTEypjm\n8BckhjHJKmPcqlYKLCsbHXWuNOqH0oS5ye87+Zb4ti8avnz/cemQk+zNeQEAAAArGvgCABKEw9Kb\nf/AOSmKVLx5hTMjSgDcSMvqxSFKwLr6/wJymtNd49ifpsdKUQKFU5+gZk6wyxudStTJ6Vny7uJs0\n/V6p84HxfXPelc5bbD/n25dYrhn9NjRkkvSjJZKfb0sAAABo//ipF0Dbt/0z6fru0uev5Hcca5+T\nXporvXydfX84LP3jV9LO9cbrlCpjwh6VMdEwxpymdNaD0uSbUxvfyB/YX/stKyGZqx0lrYxxCWOs\nqx25Nd/tPSz50tPpTGkCAADAfi0SjmT1kUv0jAHQ9m1613j+6Ol4b5VcqquUnvlvaeC3jdf1jt4t\n29dJ71hWAXILYyq3SB8+Hn9trYwxAxMpcZpSoDj16phDTrLfY1+5cW1/YXxMycIYa9gy8wmpsEN8\njFLzqnQIYwAAALAfIowB0PbFpvPUJz+uOSIRYypPbBqPi38vlP7zT2nTO/FzknIJYx490whtTG/9\nUdr0nrFdV5l4vBn4BAqNJapNgWIp5PHn4Kxs+fpD42FWxRiD9x62NWw5bIrxvGO95d5F3ud6XjPF\nhr0AAABAjvu6ZBO/kgTQ9pkhgFcI0RIrFki3D7KHDk7makKxKg9HoOGs/vD5pY+fkR6cHN+3a4P9\nmFWPSjs+M7bN/jBSfCqTOU2pwFEZU5ikAa7XstHW8yNJvsO5TUMqsAQwgWbk+15TtgAAAIB2jMoY\nAG1frDKmIfPX/uwfxvOuDdKBh7ofEwtjvKo8nOGMT3r6J8Z2sN4YfyjJ2OtcwpjYNKUie0jiFpiY\nvKpQrCFKuqspWathWtJMGAAAAGhCrvu6ZBOVMQDavmxWxpjhRLLeJgmVMQ7WVZKMA+PHWoMWLzU7\n49vh6LUazGlKRfaQJNk4U6mMSTZNyS3osYYxzZmmBAAAAOyHCGMAtH1mSJCNyphY0JJkOo0zjHFW\nlxcCs70AACAASURBVDjDGJ9fKohOJ6pPIYyp+jq+bS6Pbd6zoNh+P68w5rIP45U7RV2lLqXx9wIp\nTlNyq3yxNfCl/wsAAACyKJzlRw5lJIzZu3evLr30Uk2ZMkWnnnqqVq1apT179uj888/X5MmTdf75\n56uy0qUBJQBkUlYqY5qoejEOSn5M2FkZo3iViltzXqe9Wy3XCtrfCxTZ93mNoahLPCzx+bwDnHSX\ntg5Ywph0+r+c9CumNQEAAGC/lZEw5pZbbtHYsWP1j3/8Q0uWLNHgwYM1f/58jRkzRsuWLdOYMWM0\nf/78TNwKABKZgUmyvistvXY6lTFOznFtfk+qj4YwqYQxVV9LYfMzOoIdZxjjtlKTZFS/WMOUSMjy\nZsR9u+9R0owHLZd2uXZzmvZK0km/kObuaN65AAAA2C9Fwtl95FKLw5iqqiqtWLFCZ511liSpqKhI\n3bp10/LlyzV9+nRJ0vTp0/Xyyy+39FYA4M78lzMb05RMLeoZk2Rc9XulW/snv3c4KFV8FN+2ChTZ\ngxWvMfgL49U4Pp/9u40ti7G86NBdOmJG8rEBAAAASFuLV1PavHmzSkpKdM0112jdunX6xje+oWuv\nvVY7d+5U7969JUm9evXSzp07Pa+xdu3alg4DGVRXV8fXpBXi6+Kt89df6iBJDbX79HmG/4wOqt6n\nzpK+/GqTauqMa/uCdYoUdFBwzxbV/+4c1ZUMV3dJDcGQiiRV7q3UVss4umz9QgM8rr/1i0/V12zG\n66KxYy/5G6tV+9wvtenEu1S6Y7tKLO9/umGjum/dorLoa3MMTmv/87k67tysQZJC4YikkMw6mcbG\neq2PjndwQ0Ps/H01ddq0bp2Gm9fw+LNt6v1c478VAACAdirH1SvZ1OIwJhgMas2aNfr1r3+tkSNH\n6uabb06YkuTz+eRLUuI/fPhwz/eQe2vXruVr0grxdUmiYLMkqah6i4b36y5165u5a7/dQZI0cNDB\n0sDh0qd/l575vvTfr2jrhg9UXPWliqu+NO5fVChVS927dlV382tVs0va7j0VqW+PDklvX3hAf2nQ\nWHV55z4NH9RH2tDV9v5hw4+Qaj+IvS4qLpaqE68z/PAjpM11kqRAoCDeCFhSYSAQ/7v1UofY+V26\ndrf9nWvq719r+fvJfyutz8qVK/M9BAAAgGZ77bXXdMsttygcDuvss8/WhRdemHDMu+++q1tvvVXB\nYFAHHHCAHn300aTXbPE0pbKyMpWVlWnkyJGSpClTpmjNmjXq2bOntm3bJknatm2bSkpKkl0GAJrP\nOuXm7Xvdj6neKVV80oJrRwPl9cuN500r1Ni5zONYSY110qMzpP89V3rlJu/r1+5Ofv8d643eLeFg\ntHeMc5pSsXTIyfHXXtOUfD5HA1/rNCXL9g+ejG97LYUNAAAA5EE+esaEQiHdeOONWrBggZYuXaoX\nXnhB69evtx2zd+9e3XDDDbr//vu1dOlS/eEPf2jys7Q4jOnVq5fKysq0YcMGSdLbb7+twYMHa/z4\n8Vq8eLEkafHixZowYUJLbwUA7qz/cnb3mBD04ETp/m83fa1Vj0rXd5d2fykF6xNXFzIDjUg48T3z\nZf1e6bN/SOtflr56K/n93rgr+fsNVUZfGMkIk5xhjD8g9R4m/XytsWT1txJT+oSxm+NPGLikAw+V\nTrrG2E5ndSQAAACgHVq9erUGDhyoAQMGqKioSKeddpqWL19uO+b555/XpEmT1LevUaHfs2fPJq+b\nkV97/vrXv9aVV16pxsZGDRgwQLfddpvC4bAuv/xyPf300+rbt6/mzZuXiVsBgPTcpVJBsfSdO43X\n1mChk8c/fLuMwFjhsOT3yKEjEemtu43tPxxpVKT4LOGLFK88iYTlkzOMiR6z/mXj0VLfvlTqd3Q8\njHnmAumAQfZjzMCkW1/pV5ulL5OEP7EGvn7vyhgp/pkBAACA1iQPPWMqKipUVhaviC8tLdXq1att\nx2zcuFHBYFDnnXeeqqur9aMf/Si2oJGXjIQxw4cP16JFixL2P/zww5m4PADYfRD9t8UtjLEt2eyi\nocpYJcjNS3Ol7evir7eukvp+034PSxiTEGI0de90TY5Ob/r8/+L7dm9Mfk6yVZ9i0458slXDOD+H\nGVYluxYAAAAAScZUpk8++UQPPfSQ6urq9P3vf18jR47UwQcf7HkODQEAtH3WMME5jcepbq93GPPW\nH72vbQYttjDGURkTamx6rM0RKHTscIQptreSBChmxUuTlTFmGMM0JQAAALQeXn1dsqm0tFTl5eWx\n1xUVFSotLbUdU1ZWph49eqhTp07q1KmTjjnmGK1bty5pGMOvPQG0fbYwxqM6pbCz8VznvbKRx8WN\npw3/kr5e7Zim5PhuEGpI89opCjgWq+7Yw/tY5xSj8xZLF/7L2E6lga/tGoQxAAAA2L+NGDFCGzdu\n1KZNm9TQ0KClS5dq/PjxtmMmTJiglStXKhgMqra2VqtXr9bgwYOTXpfKGABtXyqVMUWdpcZqo7lu\nc679xu+Nxwk/j+4PJYYYwfr0rp0q56pGHQ/wXoXJ+fl7HCT1jH4j8FtCFlsY46iySbcy5vy/e4dg\nAAAAQIbkozKmoKBAc+fO1axZsxQKhTRjxgwNGTJECxculCTNnDlTgwcP1tixY3XGGWfI7/frrLPO\n0tChQ5NfNxeDB4CsiiTpf2Iq6iRVy5im1NxrS5bVlCLyOe8VylIY46yM8ZpmJRmBk5UtUPHF9yUL\nY8xAJ9VGvgNTWKUKAAAAaKPGjRuncePG2fbNnDnT9nrWrFmaNWtWytckjAHQ9nlVxtTsku44WDpz\ngVTUxdjnNU3JGUh47U/WwDdbnGGM87VVQ439tS1QMT+Lo+LF+TmqtxvPw05LdYQAAABA1uWjMiZb\nCGMAtH3Wf5U/ekpqqJZOvFLaud7Y996fjGlKkvc0Jc/Gvx5hTDiU+F5L9RpmX83JFHD8U+2ctmRV\nerj9tbWhrxksOZv8Or+rHX+5MZZvfDf5eAEAAAA0Cw18AbRdoWiAYg0TtqyUXrnJvt/nl/zRFYmC\ndR7X8lgJyRlUmL1RwsGWRfOdeyXuGz1LunJ94n5nJYw/yfShkkOk6y3VP9bgpVOJ8XzMf9nPcX6O\nLr2kb57HakoAAABoXSK+7D5yiDAGQNsVrDWevUKRsGU5ajNY8KqACacaxkSPCzXI5zW1ycsBlqXt\nJsxVwnQhn889aEkIY9IoarSGMcVdpbm7402ITe2p3hMAAABoA5imBKDtaqwzAgavMMFaGWMKeYQx\nXvsTmvRGw5hgveRPI8QYOVOacpt0+yDjtVmpY+ULuIcxzvAl2CCd92zy3jGxazoyd79bBp/h6VYA\nAABAFrSn3yESxgBou5JVxoRD7mFM2pUxHisNBeukohRDjCGnSN99wNju1k/au8W9usXnd1/BKGE1\npW7S4PGp3dsZxrjp3j+1awEAAAB5FAm3n2n0hDEA2q7GJGFMQ7U9jDFDFGcYU1cpbVsndevjfg+v\nyphQQ+LS1l6sQY85dcqtAsbnT22a0sDjU7uvec1kzn5I6v+t5Mdc/IbU8YDU7wkAAAAgKXrGAGi7\nUg1jyj8yXkuJYcyTP5L+Mtl7yevdX9hfhy3TlFLtGWNtDmyOKa3KGMuUpnG/lL7136ndV/Juwnv8\n5cbzN74rde+X/BplI6ieAQAAQN5Fwtl95BKVMQDarlgY4xKKWMOY2l3GQ0oMYyo+MZ69whgns7dM\nsF5Siv9iF3aMb5tjCrj1jPGojLEGKidfk9o9rdd0M+kG4wEAAAAg5whjALRdoQbj2bUypsqjl4wj\njCnoYDzXV6V2z9hqSvWpTVM66Rrp6PPjr22VMY4QyR9IrcdLOjJ9PQAAACBPIjlefjqbCGMAtF1m\nMOI1TcmtWW9CGFNsPNftTe2e5pQja4PgZE76pf11LIzx6BnjNa2ouQhjAAAAgFaHMAZA22VOGYoF\nHIXxgKah2t6rxZQQxkSnENXtSe2e4fg9m6yMcVu+OmnPmCwk/YQxAAAAaCfa09LW/JQOIH/+NE5a\n/WTzz3dOU7L2YWnYl2ZlTIo9Y8w+NeGgEqYZOZlToKyswZFTNoITwhgAAACg1eGndAD5EYlIX/9b\nWpTGykBOzmlK1oAjFIyHNVYhj54xtSlWxny+PHrvYNPRvBn0WDW1mlKmEcYAAACgnYiEfVl95BI/\npQPIvS9el6p3xF8v+an06T/Sv07IEcZYK2PCwdSmKRVGw5hUK2Ni1wm5r+LUZ5Q0/X5jO2lljEfP\nmEwjjAEAAABaHXrGAMitYL308OlS6Yj4vlWP/n/27jw+ivruA/hnj2zuhCSQcN+gnIJ4URVUFFRE\n8Kr1bFEf1LZaW7XV2lqP4lXPPl5F+6hYsXgiigcKIoo3IIgGRA45AgmEJJBzr3n+mJ2d2ZnfzM6e\nCZvP29e+ZnbuJYDJh+/v+5Nft1kEIg075HAjv6u6zSqMkQJq5YyWNozZ/BHw4wfyut2eMZrrOERT\nWzvdQJe+8rqoMiYYUI/TcwgCGsX0x4DC7rE9I8AwhoiIiIgyhujfQg9WDGOIKL2UAKX629jOe2iE\nvNQGNvqeMU59ZUyUnjFzz1TXY62MkYLi/xs43epzWFXGuCx6xpx8O9Dr8Mh9Yy+O7fnCz8MwhoiI\niIioo2EYQ0TpJWqqa+X+oUCPw9T32gAkPLNR6L1L81da0KwyJiC+j92eMdp7i3rGON1qqBJvz5jj\nrovtWYiIiIiIOoF093VJJf6TKRHFJtbQQs8sDDHTWA1sXKy+1wYgi/8qz24UrjbxRN5H1MBXCWi+\n+Ffk9liGKR16RmiYUigF+t0aYOCJ8rrTCQTa5HVRZYxyTrp6xhARERERUYfD7/yJyL7KN4F7+wHb\nv4z/GqJqlZjO14Q5gTbgiyfFw5SkgPUwpY/ujdyubShspWIkkJUXauAbum9hT7XSxekG/K3yuqgy\nRiGsjMmcpJ+IiIiIKNk4mxIRdU6bl8nLqm/iv0asw5T0JF1ljSSFQhFHZLVJ0G89TKlkQOR2f0v0\nex/+S+Dsp+T7BANwKGGMwxkZxpQPl9ePuMz8WqIwRlQtQ0REREREGYc9Y4jIvnAFSgI5bqJhjH6Y\nk8sDeJtCgYgujLGa2rp0ILDz69juPWACUDFcvo8UiJym2qUJY4p6Ws8MBURW8Sg4TImIiIiIyFQm\nzabE7/yJOptgUJ5eOh7hfi0JlPCJhg7Fwtcc+d6dLT+XtjoFkD+nKPhRtuUUia8//XHAZTK8SAl7\nHK7QdUL/N3A4NJUxNqtb2DOGiIiIiKjT4nf+RJ3Nm9cCfy+P71ztsJx4JVoZ01IX+d7lUcMYh74y\nRtDAV6mWEVXNAMCIs4BuQ8X7tEORgn55mJLya6FUuoiGH1ldS4thDBERERGRqUzqGcNhSkSdzern\n4z9XOywnXok28H3sqMj3EZUxmudqqgH2bTaeX/0d4Gs1D4Xc2TCt/FHCHqdbbeCrBCguhjFERERE\nRGQPv/Mn6qyCwejH6IUHaSaQGidaGaOnrYzRhjFf/5/acDji/j65OkhUGaNcY8KN4ntphyIFAwAk\nTWWMO3IZ9blFPWPYwJeIiIiIyIwkOVL6SieGMUSdlX5WIlvnJGGYUqI9Y0QkydgzxsqOr8QVOsrn\nG34mMGSyvJ6Vr+5XGhdrG/gaKmNsBiqi4IWVMUREREREnQK/8yfqrPSzEultWQ7cXgo071O3dYSe\nMXpSUNwzxoqnwLxnTPi6oSqgGY+r25SwJ9TA1yEJKmPsPoNoRipHetN4IiIiIqKDifKtf6pe6cQw\nhqizihaKfPygXP1RtUrdZjeMmXc+cEeZyX0T7BljuJ5SoeKwXxmTXWgjFAqFMdpraociBbwo2/BC\n/MOURFgZQ0RERETUKfA7f6LOKtowJWW4TbhPDOyHMT+8ax52WIUg2nvZ9fosoG6L/Ewum0GIrcoY\npVmx5praBr7hbTE28C3qZb6PYQwRERERkamg5EjpK534nT9RZxVtmJISDGiPC4cxCfxFZdUzJt4h\nTBsXh8IYj/kx129QP1N2QfQKHSUY0vaA0TbwVSi/Fk6bPWNmLQMuWyzexzCGiIiIiKhT4Hf+RJ1V\ntEGRShWI9rhkhDFWgcuOr+K/rsNhHcY43erzewrsNxLWflZtA9/wfl1lTLRApaAc6Hu08dn01yUi\nIiIiogicTYmIDn52K2MkQWVMPMOJwve1qEipfCv+6zbtEU8XrXA45RAGkI8L+qIMKZLU8xSiJr3+\nttA+wbAuu5TrsTKGiIiIiMiUFHSk9JVO/M6fqLOKNiRIqQKJqIwJBQ3RghwzkgT4vfaeaX8V0FJv\nfuz43xq3RauMuXK5vB7wyS93jsWzKp9b85eyqGeMrzm0TQmC4ghjwiEP/0omIiIiIuoMEpj2g4gO\natEa+Ap7xkj2zjWz4NfAmnkWz6QJfh4cBhT2MD+2bJBxm1Wli9Mtn1PUW/5MQb8cxngbTZ5FqYzR\nhDEui74w8VTGjP4FsPa/6q81wxgiIiIiIlOJFOh3NPzOn6izijpMSdQzJmDcFgurIEZ7fcWBXebH\nOgVDkqx6rij7nC55iFK0ypgwTRiTUxy6hij0UY6L4f8Q0x8D/vST5hJJLI28/H3gvOeSdz0iIiIi\nIkoaVsYQdVZRG/iKhimF1uMdpmT3meacEP1YUX+YaJUxynlBvxzIZFkNUxJUxuSWGreZnWeHyw3k\ndlHfO5LYwLfPUcm7FhERERFRB5Duvi6pxMoYos5K6c/y6hXA+kXG/UolSSLDlIIxVtAoYUzV6ujH\nisIYqzBDCZec7lDPGD/gzrV6GOVEdZM71JNG9LnCQ4wSqJ3kMCUiIiIiok6B3/kTdVZKyPLty8B/\nLzTuT8YwpWhNgg3HB+1XlgiHKVlUxijVLM5QZUygDXBnmx8vqowJP6fgcynHxTWbUuhchjFERERE\nRKaCkiOlr3Tid/5EnZXdBr6iqa31lSE1lcDOlcZrxBrGSEHA12LvWNHMSZZTVSvHuIANbwON1VF6\nxggqYxTC6bnj6BljuAT/SiYiIiIi6gzYM4aos4rW90U4tXVoXR/kPH6MvLytQXePWMOYgPnsRnou\nwV9fThthhnZ4k18X/HTpq3mWNFbGhO/FMIaIiIiIyIyU5uqVVGIYQ9RZSQHr4MByausUDVOSgkDb\nAeP23BKgpS5yW6zDlETntdSr65d/AJT0V9936Qts/xzILpTflwxQ98XaC8cuq9mgiIiIiIgoYzCM\nIeqsggHr6hiHRQNfq/O0QcWKR4CfXQvkl9l7JrMw5oQ/A73GAcvvA354V94mCi7sDlNSaAOePkdG\nHnfGQ8CwM4Duo4Cbd0ZeWzhMScFhSkREREREqRBPEXpHxe/8iQ5mdVuB2k3xnRsMWFe4hCtjNMFD\nuIGvRRgT8KrrKx4GFl4T2zOJhik5XUDvccCF8zXPJwhj7EwNrR2mpK+20couAIZPV9e102CnrIFv\n5pRdEhERERGROVbGEB3MHjlMXup7tdghBaxDFaWCJKANY4KRS71AaJYiLW+jHLK88Rvr53G4zCtj\nRFUwoioSO8N8tBUuvY8EdnwZ/Rw94fCrJDTwFTULJiIiIiIiAEj7jEepxMoYos4qGABmdzffL6yM\nUYYpmYQx3sbI8AaQZyyq/RFY82Lk9pHnRL53eUJhjKAyRhS8ePKM20RhTN/xwK2aChilZ4w7Bzj3\n38bj7eg6VPCMyWjgmzn/cyEiIiIiInMMY4g6K31ooqcEIAFNFUi0YUreRsCvq4xxe8TTVZ/1r8jZ\ni8JhjKDKRzT8KKeLut7vOLm3i7BnjCNyliUlsOl5OJBTLP4c0Yy5CPifpcb7AEisMoaIiIiIiMxI\nkiOlr3RiGEN0sHloJPDokdGP0/rqaeDA7shtXsFwIK1wFYwmtFEa9yrDlOq2Rp7TvA94/crIbe4c\nwN9qvL4rKzIMcWXJ123YaTxWVBmTqwljfrkQuOoTew18lZ4x7mx7PWZEHA65obDWqHOBQ8+Qmw3H\nqjBUocQGvkREREREnQJ7xhAdbBq2G7f524C3bwBOuhUo6Ba5r24rsOh6YM18YOTZ6nbRcCAtJXDR\nVtAozXmDAWDty8BrVwCXLlT3/+t443Vc2YCvWXwPbdWNyyNfV/T5hMOUCoz7hU19dQm3dpiSnfDG\nruxC4BcvxHfupW8AWz5Sp9EmIiIiIiIDzqZERB3L928Aq+YCi28x7vOHApR9m4F3b1K3e5usr6kM\nRdI2q1UqXKQA8Pnj8nprlObBbg/gNQljtFU3LrccANULwhhhA1+Hcb2oh/WzAGoA485ObhiTiOJe\nwJgL2/spiIiIiIgoTRjGEGWEUBgRFPRyCfd30cXIomFKO1YCz0yVK21ElTFKPxgpCNRUyuvRZjBy\nZYtnSAIigx6XR37Whh3G4+w2th0wAbjoVWDsJeq2rkN0z6OEMTn2Zl8iIiIiIqIOISg5UvpKpw7y\nz8JElJDwTD6CWY6UbfqhPqKA5K3fAbu/BfZsUIMdbfWKUhkTDAD+UFPegFeuMBFO9wy5AsUsjNEP\nU5KCQMs+YPQv5PVvXwo9ewyhyZCTgU1L5PWeY4FT743cr62MUX7dOkqFDBFRGuX2FAwtJaIILVUf\nt/cjEFGG4k8gRJnAYTGTTziM0QUaomFKSigR9GsqY0KBSUs90FwbeU1ArpyxCmMcTvNmwdpznG65\n8sbXDJQNlhvihsOYGIv43DnycvDJQFZO5D5tzxhADmsGTozt+kRERERElHbpnvEolRjGEGUEG5Ux\njbrZlPQNfOedD1StlteDAU3PmFBlzL39jNcE1MoYM588aL4vomdMlhz4APIsS558dZ92ONF136qB\nihl3tvk+5Vpuj7w85irra1nYNe5G9OjRM+7ziYiIiIioc2IYQ5QJlMoRbXvx+u1AY7V5XxSvLoz5\n4V11PehXryWaCcnXoq772+If5qNUxlz4EvDZY2rz3pwiICtPPU5bGdOlb/TrKtNXa/vdKMoGy8v6\nbbE/r0794HPQY9iwhK9DRERERETRpbuvSyqxgS9RJgiHMZqKlYdHAk9PAoKCahnAvI8LAAQ0DXxF\nsyW17NMc64sjjAn9JaoMger3M/kzNNXI73OKgaxczeEx/lXl8qjPpjdggrwUVRERERERERGlAcMY\nokwQbuBr0TNGT18Zo+VrVRv4isKY5jp1PdowJStHz5KX7tzICp7sIvm90tcllga+gDqMKSiqjBkE\nnP8CMNVi+BQREREREXU4Uopf6cQwhigThCtHRGGMYLprwNgzRsvXbF0Zs2e9up5IGDPpb8CtdfJ0\n09rql5xieakMVbI7tbVCmb5aVBkDAMPOAArKY7smERERERFRkrBnDFFGsGjgGzQJY0SzKSkO7FZ7\nxbQ2GIc6Ne9V180CDytKuOJwaNY11S+eUAiTlScPiTLre2PGadEzhoiIiIiIDkqZ1DOGYQxRJhA1\n8FWIhuoAwP4d5td772Z1vbUB8AmCm8EnA5s/kitjYu6/IvhLVFsZU9xHXiqhTLw9Y8w+OxERERER\nUTviMCWiTLCnUl4KK2P8iV1bCgKNNcbtWbly6BHwiodCXfRqbPdRKmROuFmdDSk8TCnGyhir2ZSI\niIiIiOigJEmOlL7SiZUxRJngg9vkZSzDlGJxYLdxmztHDj3MKmMqRsR2D+Ua2iFJWfFWxihhjDe2\n84iIiIiIqMPKpPlQk1YZEwgEMGPGDFx55ZUAgPr6esycOROTJ0/GzJkz0dAgaAJKREkmGqaUYGUM\nENkjRuHOUStjRIGPEoiIiBryhsMYTUasDFOKt2dMMj47ERERERFRkiUtjJk7dy4GDRoUfj9nzhyM\nHz8eixcvxvjx4zFnzpxk3YqIzCiBhl9TEeJvS/y6opmX3DmAO1seCiSqjLEMUKzCGE2IE29lTEGF\nvOzSL7bziIiIiIiow5LgSOkrnZISxuzevRvLli3DueeeG962ZMkSzJgxAwAwY8YMfPDBB8m4FRFZ\nUQINryY8SUYYo1xv+Ayg2zB53Z1tPUzJaVEZI6I0H46ojMmXl7FObd17HHDhy8Apd8R2HhERERER\nURokpWfMXXfdhRtvvBFNTeqMK7W1tSgvLwcAdOvWDbW1tabnV1ZWJuMxKElaW1v5NWlnDn8rCnZ9\nigN9TgpvU74uoSgkYl3R1NSIbZWVcDftxpDQtl07tqJHgs9Ts2MzygFs6XkGelR9hxwAexsaUeiX\n0FZXi/yAH/o6mPUbN+FQk+sFAWzQ/R7r03gABQB21+xBXWhf98ZWlADYsnUbWvfnGa6TP+EhOKQg\nGoW/X/sAP26J6XPGin9WOiZ+XYiIiIgyU1DQleFglXAY8+GHH6K0tBQjR47EF198ITzG4XDAYfEv\n28OG6X+kpPZUWVnJr0l7W3gtsOo54IolQO8jABi/LqKvUX5urrx9r1qV0qNbacKPU16UAwAYMHgY\n8G02AKBrRW9gXwGy87Ih6lVz6PBRptdzOhzG5/8qFwDQvWdvdFf2besFbAIGDBwE9BD8nmzn36f8\ns9Ix8evS8axcubK9H4GIiIioQ0k4jFm1ahWWLl2K5cuXo62tDY2NjbjhhhtQVlaGmpoalJeXo6am\nBqWlif9ASNRpNOyQly11sZ2nDPUJaIYm+VsTfx5fs7zMylWni3ZnW09t7YxxFKQy1Enb+FcZphRr\nA18iIiIiIso4wTT3dUmlhHvGXH/99Vi+fDmWLl2KBx98EMcccwzuv/9+nHTSSViwYAEAYMGCBZg0\naVLCD0vUaYSnZvbFdl64ga82jEliA193jhq8aGdTEvWMsWRzNqWs3NDhSes1TkRERERE1O5S9hPO\nrFmzsGLFCkyePBmffvopZs2alapbEWUeJZAI+oCtnwC719k8UamM0c6mFGNlzJApwICJ8roSgng1\nYYwyw5G2MkY0tXWsRA18s5QGvqyMISIiIiLq7DJpNqWkNPBVHH300Tj66KMBACUlJXjuueeSG3mt\nwQAAIABJREFUeXmizPH1/wGLbwVu3i6eKUhbGfPsVHn9/M+jXzcZlTGePLlPzZaP5BBECgLeUHPu\nrBwgu1Bed+fIw4iaawFIQM/DgaP+B1hwdWz30z+7dkiSJ86prYmIiIiIiDow/oRD1B4WXQ94DwBB\nf+T2D+8CNr6vTgut3x+NJKqMiTGMcXnkoEV7fyWMcecCnoLQukderw5V7Qw9FRhzob17CBt6K5Ux\nmp4xA08Exv0KKOkXyycgIiIiIqIMFEzxK52SWhlDRDY5nHIlSNAf2bD2o3vl5WGhUEPTM6bbt08C\n9UPVY4OCvy58zcAbvwW6a2Yy8rfE9mzOLLVXixKQeJvkkMbpVJvqBnxAdoHmvFiyXZs9Y4p7AdMe\nieG6REREREREHR/DGKJ2EQojtJUv2goWV+iPpqbCpev3zwLfay4happb8738KqgQX9cOl1sTxoR4\nD6jVMkoA03ZArZIBEh9KJApjiIiIiIiIQtLd1yWVOEyJqD04BGFM8z51fdVceWnVfFc0nbSiuLe6\nbhnGCP4yyy4EcrpEbvM2qWFMt2HyMreL2j8GiN5kN78bMP1x8/3hqa0ZxhARERERUWbjTz1E7UIJ\nYzSByhdPGg/zNZtfwmoGI211iSiMye8GNO2RZ0TSBz5dh8pBi5a3Gcgvk9ePvgoo6Q8cchrw+RPq\nMUplzIm3ALu/Nd4zt1QdPiXqGcPKGCIiIiIispDuvi6pxJ96iNqTpicMVjxs3O+zqIwJ+sz3+TR9\nYkTVNVMfBIZMBu7tb9xXPlytgglfrwlw95LXnU7g0NPlde1wJmUWpIl/FD+Tw6EZyiQKYwRTWxMR\nEREREWUgDlMiag9KKBFttiSfRfPdgMW5EWGMoDLG5ZGnqdZXqPQ7Vp6iWl8ZAxgDGiByqJSoZ8wZ\nDwHdR8vr2UXWfWWUazGMISIiIiIiAc6mRESJEfWMEbEcpmRxrrYaRlQZ4zTp7zLhBrnyJbfEuE/f\n1BeIHCol6hlzxGXAuJnAp/8ERp0nN/01w8oYIiIiIiLqJPhTD1Eiqr6Rq1D6jY/xREHPGBGryhjL\nYUrN4vXw7U2GCymBSlae8RxRZUx+V825Jp3NHQ7g2N/J63s3mh8bDmOiNAImIiIiIqJOibMpEXVE\nkgSs+a8880+6zJkIPHNq9FBF8fUzQP02cWWMM8t4fMBiJiTNtNcG2l4zbY3G/WaBh7JdFJaIwpgR\nZ8uNeQF7U1tbDlMKFQZGm5WJiIiIiIjoIMcwhjLHts+A168E3r0p/ffeuSr6Ma0NwFvXAXNnQK2M\n0YQxoqmqvRbDlCx7xmjOEw0NUoYC6UMXbRBy0l+BMzRNhbMEYYzDAYw4S16XbIyyDN/PYjYlO6EO\nERERERF1OkFHal/pxJ96KHO07peXB3Yb9wX84gqRRCnVLPt3GvcFdeGEUj3TvFdTGRMaaiRJ4jDD\nqsrHapgSJM01BJ87HLro/sbRVsxMuAEYNk197xb0jAHUYCda/xvAZmUM/1oiIiIiIqLMxp96KAMJ\nIs1XfgXc3SsFtwrdS9/bZX8VcEcJ8O0r6rZwWOHQhDEBoGGHODABrBv4BqzCGC3JuMlsmJJ+iJA2\nGHFni89xhQIpW2GMxRCkcBiTOeNAiYiIiIgoeYJwpPSVTgxjqHOofDNFF1bCGF0Fy6YP5eXa+eo2\npcdLa708ZAmQA4yHRgDPnSm+fLyzKUWjhCIDJkRud+r+StDObCSaTQlQgx074ZAS7ggDFynyGCIi\nIiIiogzFn3oo8+mHCyWTEip4m+WApbFGfr/9c3mZXageK2q4qwQqVSY9Zyx7xgjCj9JB6vpxvzc/\nVwlQznkaGDJF3a6vXNFW0Iga+AKaYUo2mhibzeKkPZ+VMUREREREJCCl+JVODGMogwj++LTul4cL\nKezOehQrXzPw0Cjg/iHy+11r5WX9NvUYUXii36YPPMyGLwHinjGzlqnrLpNhRYAasnjygAv+C+QU\nR25XaMMZ08qYJPWMGR6qDsotMT+GiIiIiIgozZYvX44pU6bglFNOwZw5c0yPW7t2LYYPH4533303\n6jUZxlDm0VZWNO+N3Ge3z8qmpUBNpfUxkgT4Q1NPe5uAttDQo4BfPbdB09hXVBnjb418rw88rIYp\nvfUH4zaXZnpst8f8XG3I4nQCnoLQujvyOO17s54xsYQxZr1qAODk24E/bmEYQ0REREREQsEUv0QC\ngQDuuOMOPP3001i0aBHeeust/Pjjj8Lj7r//fhx77LG2PgvDGMocko3CMssZiDSePwt4/BjrY1rr\nEa7G0Tbw3b8TCLTJMy0F2tTtojBGP1tSVl7ke31Yo1W70bhNG7LYqYyxOl9/nOlsSqFjYqmMEY1E\ncrqAvNLo1yAiIiIiok4p6HCk9CWydu1a9OvXD3369IHH48HUqVOxZMkSw3HPP/88pkyZgrKyMluf\nhWEMZSCLniO2ZyCK4qfPgHv7q++1FSxKKJFdEHk/0b31szCZDQWySxueuCwqY/QVMOHtur8StH8h\nZUXrGZNAQ2EiIiIiIqIOqLq6Gt27dw+/r6ioQHV1teGYDz74ABdccIHt65r8REZ0MBJVxuiCmWiB\nQcNO4Kuno99q6yeR77UVLkpfGncu0FKnbhdVxiQ7jLEzFbX+OHlDaGExjCgZDXz19yMiIiIiIrIp\n3U127Zo9ezZuuOEGOPX/uG2BYQxlON0f12iVMQuuArYsV98vuQM48RbBsB7ddbWVMVIolMjKAZq0\nlTGiMEbXEya7yPr5otFWshT3lp/9w9nG40yHKVn85WEWxuSXy8s8e+V4REREREREB4uKigrs3r07\n/L66uhoVFRURx6xbtw5/+IPc07Ourg4fffQR3G43Tj75ZNPrMoyhDCKaLlnXhilaz5iArnLm4weA\n3kcCh5wmv99fBRT1BCTddb2CYUruHHldkuSQRBQE6XvCaKfCTpTTBYw4SxzGmFbAWGTNZlU7o86V\nP+eoc208U+ivnK5Doh9LRERERESkYdZkN5VGjRqFrVu3Yvv27aioqMCiRYvwwAMPRByzdOnS8PpN\nN92EE044wTKIAdgzhjKKIEjQD0vShy16oooRJTBZ9yrw4DBgy8fGITk+0TClnMhnsNPAVxvGdOln\n/azROFxy6HH+C8Z9+p4xJs2qIphVxjgcwJgLImdyMpNTBFz4MnDhS9GPJSIiIiIiamdutxu33nor\nrrjiCpx++uk47bTTMGTIELz44ot48cUX479uEp+RqGPQBguSLjSJ1jNGFMYo4cq2L+Rl9brIypjS\ngcC+zcZ7KuFFwCcHFXYa+GrDmHG/lIdJiWTlAZ58oGmPxWcJ/fEedoZgn0VvGDNmYUyshk5OznWI\niIiIiKhTCbZT68mJEydi4sSJEdvMmvXec889tq7JyhjKHKKprfUVLNGGKYlmGTIEOI7IMKb3kUBr\ng/GeyuxDAa9ckdNab7y2VRhjNTX1ec8BXfqa7wesAxd9b5jy4fLSKnAxm02JiIiIiIiIYsLKGMpA\nmrjUMEwpkTBGG/Zo1nseDqydrzleM5uScv7LvwTWv2W8tqGBryaMsZoNyemM3l/GamYk/ec852mg\najVQUG5+TqLNhYmIiIiIiBIQzKBZWRnGUAYRVMboG+1GG6YkCjCCAeD5s4FNS+T3Wz+WG/kq8kp1\nx4cCHyVMWfuSOIgBBJUxmsDDqgeLw0YYYzWtmr5qJqcIGDhRfKyisIf1fiIiIiIiIrKFw5Qos+nD\nl3+fYn28sGeMXw1iADlYqVqlvtfPMuQPNepVhvy8d7P5/fxxDlNyOKNXqlhVxljtM8NhSkRERERE\n1I6kFL/SiWEMZQ59FQxg7BkDGKe71hINUxLNgqRlCGNCsy/ZCS+8umFKngLNer75eQGfjcoYi8K3\neBr4EhERERERUVIwjKHMoYQxDoueMYCxGkVLFFI077O+b1Ze5PtAm7y0M/uQfpiS9pzcLup6t0Mj\nj2ttsBHGJLkyhoiIiIiIqB0FHal9pRPDGIpNzXr51RE07QUOVKvvRVUw+qmtAWMAoiWqJmnYYf0c\n0YYpWfE16e6v+SOZU6yu55ZEHtfaAAw80fralg18Y/ijf+FLwP8stX88ERERERERWWIYQ7F5/Gj5\n1RH8YxDwwFD1vZ2prQFg8zKgpU58TVE1ScN26+fI0g0nUoYp2Qlj2g5EvlcClCGTgRxNZUx+t8jj\nBkwA+h8L3LwDOPcZ8bVjCVysDJ0C9BqXnGsRERERERHFKZjiVzpxNiXKHNoqmI3vA7vWABUjjce9\nerm8/N1aoKRf5D5RZUzdT9b31VfGKD1m7PSM0YdCThfw11q5QW/bfnW7Ntg57vdA1yHyenYhMPJs\n4JWZxmtzKBIREREREVGHxMoYyhzaBr4vnAssvdN6KmvRzEqiAKNhm/V99T1j/DH0jNE/n8MFuNxy\nVYt2tiRtxY7VLEtaZg18b4pS6UNERERERNQBcTYlovYmGpIkauAr6hmjaKw2brOagciM2xP5PpYw\nRuEI/VHUhi7aYUYOzbory941zRr45kSZEpuIiIiIiIhSimEMHZy8TcZtwmmsLSpjIGiXHU8Y49SF\nI8psSvrhS4qjZhm3uUKBjtnQohFnG4+NhsOUiIiIiIgog3A2JaL21rzXuE0StFwKWrVhkuRZibTi\naXqrD3DClTGC4UQuDzDirMhtnkLAky++/6ULgas/BYacjD0jQyFOflebzyUIY2Y8ae9cIiIiIiIi\nShmGMXRwaq41bhMNSbKsjAHw3JmR7+OqjNGFHpbDlBzGHjNdh6jDkPTVLAMnAhUjAAB7D70EOONh\nYPQv4nsuABhzgb1ziYiIiIiIOphMmk2JYQwdnLzNxm3hPjI2e8YAwK5v5FmXXpslD3MyG9qjD1C0\nHLp6toBFGOMQhDHdDlGf2azPCyD3ijlipv3qHQ5TIiIiIiIi6pAYxtDBSQk8tGLuGRMy/xJg7Xyg\nfhtMe2jnFEe+L+xhfj1/aGprswa+Hl0YUz5cDXSSGaBYBTtEREREREQHGVbGELU3vy6M2fQhsOZF\neV1bqfLun9X1o68SX0sZIiQFxX1nAGM1y3G/N382JSgyC0P01+p9BGxVxsSKlTFEREREREQdEsMY\n6ph8rcB3C8z368OY52fIQ44M19HMumQ2C5ES3kiS/TDGakajda/KS301jXwz47W6j0p9ZYxVJQ8R\nEREREdFBQHKk9pVODGOoY/rgb8DLvwS2fiLerw9jtMwCFVeWeLtSGRP0WYQxummq7UwvXdgduG4d\n0OMwzb0c8ixLPQ4Dzvk3cONmILtQfYZ4ZnMy49Bc68qPgVkfJe/aREREREREFLc4po4hSoOGHfJS\nNGsSIO4Zo/C1iLebVZ0ooYW/TdMEWCeeMMbpBrr0AVzaKa4dciBz5XL9Q1g/Yzy0w7UKuskvIiIi\nIiKig1S6+7qkEsMYik8wmNwqDj2liqVuq3i/VWWMWRhjNm11XGFMFvCHSnHT4PB1Xeqx0ehnZCIi\nIiIiIqKMxTCG4hP0Ac7s6MfFyxkKMN6/FagYCQyeFLk/HMYIQgzTMMak6qS1QV4G2mIbplTUU3ys\n/n7aEMg0dFG2m4RB0Rx+KVD3U3znEhERERERHQRYGUMU8Mq9T5Jl5XNyI9teh8vvtdUknz9hHsaI\nql3MprM2q4w5sEtzTbPKmBga+CqUihtblTGhpVllTjRn/m985xERERERER0k4vxpqUNiA1+KT8CX\n+DXaDgBbV8jrb14LPHWiuk9bxdK2X3D/UBjjEPwWNnu2aOGR36Iyxp0T+T6WoUcRIVCKKmOIiIiI\niIjooMEwhuJjVn0Sixd+Djx7OuBtMu5zasMOQYDhb5WXUkDuX6Nl1ty361Dr55l/EfDlHPE+Uc8Y\nkRP/Ytxmpynv1AeAkv5AUa/oxxIREREREXVCQUdqX+nEMIbik4zKmG2fysu2A8Z92rBDCV60/F55\nGQwAvmbxPr3uo2N/RoV+mJLTJIw57jrr65j1jBlyCvC7Nckd+kVEREREREQdEsMYMija9j5wWzFQ\nv938oKAP+OE9YN2rid+wpd64TTu0Rx+2AJqARjJW1ojCm65DE5vaWV8ZYzaTlFlfmjDOmkRERERE\nRBSPYIpf6cQGvmRQvPVteaWmEujSR3xQwA/M+7m8PvKc2G+ibVTbUmfcr60g8YbCmPrtci+Zop5y\nA2HFktt1zyaojPntV7E/o5a+YsV0mmxB2KL9fMxiiIiIiIiIOj2GMWSkBCWi5riK1c9Hvt+0FNi/\nCxh7kfk5fi/gbQTySiOnnxaFMQFNTxpvo9wX5uGR8vvbGiKrX755QXcfk54xidCHL1ErYDT2bkju\nsxAREREREXVCmTS1NYcpkZEyo5BZfxMAWPFw5PvnzwLe+DXQsMN8euZXLwfuGyCva2dIatlnPFZb\n3dJaDzxzauR+s74wgLGBb69x5sfa5dQ14bXTlFfRXJv4/WORW5Le+xEREREREVFMGMaQgUPJG60q\nY8w8NMIY1CgqF8rLYCCyaa9SGaO9X1DXIHj7F5HvRX1hREoHAv+z1N6xVvQNe2OpjPnV28CwM0Nv\n0jBO6dpvgD9Upv4+REREREREaSSl+JVODGPIyM4wJSubl1nv97cBrdrKmFADX5dH3aYMUyrqLb6G\nqC+MUJLCD8MwpRgqY/ofC5xwU3Kew47cLnJfHSIiIiIiIuqQGMZkmpY682FCdkmCyhhJkitaYjnf\njL8VaGtQ3yuVMS5Nk9yAV65qGf1z4/kBv/3KmHgDJT2XvjImhjAGUIc1WQ39IiIiIiIiIlNBR2pf\n6cQGvpmk7ifgkdHAlLuA8b+J+zIOCCpjHjtKDmScbiDoB0oGAHVbxBcwC4OUcw2VMUoYowk8gj55\naFBrAwxaG+w36U1WGKO/jtUwpT+sNzYlDoc3DGOIiIiIiIg6O1bGZJL6bfJy/duJXSccpmhClb0/\nALUbYStMsApjgFBljLZnTKiBr36YkisL6H+c8Tot+9Ifxujpw5hLFwLnPSuvF/UAKobrjmdlDBER\nERERUSKCKX6lEytjMkn4B/0kDVMSDUtSGutaDVkyG6YUDmPadLMpKT1jNL8dA145jBl5NlDYHXjm\nNM3xdcYZk8wkGn4cf4PcA2fIKbrr6oYpDZwY5TliHNZEREREREREGYthTEYJBQ+J9oxRwhzJInDR\nz3YkOl9PCST8rUBbo7pdqZKp3wasew3o0g/YtxnIK5O3F1REXufLOYC32eL+2nsmWBnTdSgw6a/G\n7bH2jOEwJSIiIiIiooSke8ajVGIYk0mSVBnjCFfGWBRqBf3m+7SVMd+/AQyYAOSWqIGEvw3wacIU\n7ZClV2aq64Xd5aU7J/L6374sL7PyAV+T+XMASDj8MAtdYpnaGmBlDBEREREREYWxZ0wmSng2JRuV\nMQGLyhgljGnYAbx0KfDKZfJ7bc8YX4vcoBcAvI3GawBqQ199GKPIyjV/BkWihShmlTUxz6YUug57\nxhAREREREcUlCCmlr3RiGJNRktQzBhY9Y8KHaPa986fIfUqYo1TP7P1RXmp7xvia5WoZILJKRksJ\na9we8X5PnvnzKU78S/RjBp6gPovhGZJUGUNEREREREQUwp8oM4kjOT1jHHYqY7Q9Y754MnKfvoFv\nwCsvIypjmoHsQnlmJLMhT1ErY6KEMbfWAU4beaMzyzxcMRteFPOwI+VrwsoYIiIiIiKieKR7xqNU\nYmVMJhFNSW1HY408bEi9kLywrIyx6BmjnK8MZVKCm4ieMS1ymGIWtABqGON0i4cLRQtj7AQxyn3M\nwhXTypgY/+hkF8rLMRfEdh4RERERERFlnITDmF27duGSSy7B6aefjqlTp+K5554DANTX12PmzJmY\nPHkyZs6ciYaGhoQflqJQApJYK2PuHwI8NUl9r1S2tB0AvnzKeD1XdvQGvtXfq8OPmmvla+krY7Jy\nrQMVZZiSwwG4BEOV3NnWn8supyv2yphYefKBP1cBk25LzvWIiIiIiIg6GSnFr3RKeJiSy+XCTTfd\nhBEjRqCxsRHnnHMOjj32WLz22msYP348Zs2ahTlz5mDOnDm48cYbk/HMJLJrLbBxcehNDL+Ndq6U\nlzXfyaGLw6GGLx/8TQ5SinpFnuPyAIE282vWbgaeGC/PoqRY8Gs18AgolTG5ct8XswmRtD1hnFkA\nWiP3J9S3xYHwr5PDZV7p0nNMAvfQ8eQn71pERERERER00Eq4Mqa8vBwjRowAABQUFGDgwIGorq7G\nkiVLMGPGDADAjBkz8MEHHyR6K7Lyr+OBT/8pr8dSGfPUSep6Yw0AwKGMxGuulZcLro48x6yhrsIb\nmqp62+fqtprv1fBk9zpg+xdyVUyWRUDhKVTXRcOFlGFMQBxTTet+62srYAq6A8dfL/ecKSiP7bpE\nRERERESUEsEUv9IpqQ18d+zYgcrKShx22GGora1Febn8g2y3bt1QW1trel5lZWUyH6NTGqZZb2lp\nwVabv6ba87as+QStZcMxQN8rprU+4q1PciIL0QXhCKd9rQEHpKAPuQCw8hkAQGPDXjgDTpgNVNqz\nvwV7Q59jiGT8zXqguQ3huEYwbEr0+0r5vJLDAUcos2rctxv+LiPQpW6L/KyufGzpeR6wYYPwXLNr\np1prayv/rHQw/Jp0TPy6EBEREVFHl7QwpqmpCddeey3+/Oc/o6CgIGKfw+GAw2E+i8ywYcNM95GF\nFY/I1SxTZkdszs3xYFj1G8DYS4DiXiYnGw0o8wDDhqFtkfVxWdl5QIv1MQDgdLrDw5ly8ovlXjJ1\n6v4CtADFXQGTnK5br/7opvzeWJQN6EZGFRaXALvM72/1+8rhdIcDnAI0ARctBN68DlgzDzlZbvG5\nVywFnj4p6rVTpbKykn9WOhh+TTomfl06npUrV7b3IxAREVEGCGbQ5LRJmU3J5/Ph2muvxbRp0zB5\n8mQAQFlZGWpq5GEvNTU1KC0tTcatSOv9W4HPHjVur/4OWHY38Mpl1ufrK2D2VwEt9XAGWsXHK+w2\nztUOBcrKNU6VfWA34IkM7iJo94mGIWm3lQ6Ul2MvBrqPBo66UnzN7CLjszXWyJ+p1+Hye7MpvXuP\nM39WIiIiIiIiIpsSroyRJAm33HILBg4ciJkzZ4a3n3TSSViwYAFmzZqFBQsWYNKkSRZXoaRShuz4\no5SvBLyR79+9CXjnj9GHIIlmNhLRBh7ubKBFF3I43dazKWnDGJfgqbShUEl/4NrV0Z9p1jJg22fA\n25pm0o3VoXuEPpfltN1ERERERETUHoJpn/ModRKujFm5ciXeeOMNfP7555g+fTqmT5+Ojz76CLNm\nzcKKFSswefJkfPrpp5g1a1YynpdiEqWGSx/GSDZbFtkNY7QzFElBY8hx6RuRMybpaRsFi+6Zq6m2\nsjsFddkguXpGa/iM0D1CgY++YoiIiIiIiIjaHae21jjiiCOwQdfoVPHcc88lenkCgMY9QEG32M/T\nzxikF/DF9zx2wxjt9b3NkWGMpxAoP9R6mJJTUw0jumdemboe7bPqKTNOXbMKKO4TeQ9WxhARERER\nEVEKJaVnDKXQt68A9w8Gtn8V+7kWTZMBGCtj7Io2tbXC2ygvu48CvE2RIYdSNWM1TEnbE0Y0TKlL\nH82xNitjwkJhTH439fOEK2MYxhAREREREXU0mTS1NcOYjm7rx/Ky+ts4Tk5RGGO3MkaR00UOZrTD\nf5RhRZ588/O0PWFcgqbBo34ODJgQul6cv5W1IY6TYQwRERERERGlHsOYjk5KYOSaPqCo2wr4NDMl\nxT1MycZsSjnF6npuCeDTDVNSQhDtUCOtn12jBi2AWrVyxOWaaziBcTMjrxcr7a9ReJgSe8YQERER\nERF1NEFIKX2lU8I9Yyhd4phQXRs0BHzAI4cBw84Ezn8+tC3eypio8y3JYUxrg7yeV6rOWBR+tlB4\nUtwrtOwrhy/f/AeYPBv42W919wwFJYMnydNkK8+uNB2OtTJm+HRg7XzdUKjQOsMYIiIiIiIiSiGG\nMR2ejXTOLDzQBhT+Nnm5cbG6Le6eMTFWxhT2MH+2olAY07QHCIYqdUQzLClhjCQBU2ar25XPbnc2\nJcWZjwKn3BkZLIUrY+KsGCIiIiIiIqKUyZyJrTlMKTOYDTfSNvAVBQypnE0pWxPGFPUUHCBF7vO3\nqOGQqKlvuLmu7pmlUBgT6zAltwcorNDdg7MpERERERERUeqxMuZgYTUzkmmFi+acgCBgSGVlTFaO\nvHS6gYIK436lF052obwcepoaDmXlGo9XghJ9gBTvMCURZciSlO4+2kRERERERBRNJv2kxsqYjs5O\nA187lTGi4CXeMCa3JPox7lAY4/IA+V0FB2g+15+2Aj+fq34OUeVNOIzRPXP30fJyyOTozxRNrLNE\nEREREREREcWBlTHp4G8D2g6YhBJ2xVEZEzWMiXOYUp6Nz6EEG84sIL+bcb82ZFLCHeUZRQ2ClW36\nz9FjNHDzDrXCJhEMY4iIiIiIiDqsdM94lEqsjEmH+RcD/xiUuuubhjG62ZTsnheNnVBJGcqUlQvk\nlwsOEPwhUnq1OAVhzOBJ8rJipHFfMoIYQJ1NycrRVwPH/SE59yMiIiIiIqJOiWFMOmhnMLLy5nXA\n6hdiv76tnjFJHKYUrYLkhh/VJrxFPeT+MTdsjDxGNPwqXBkjuP7w6cAftwB9jor9ee2yUxlz2j3A\nyX9L3TMQERERERGRkJTiVzoxjGkP+7YA3ibj9pXPAG/8OvbrpXuYUrRmuTlFQEl/ed1TIC/zugLD\nzgQOuzB0kOC3eskAeWnWkyavNNYnjY2oIoeIiIiIiIgoyRjGtId/jgHmnR+5zbRRb2h7PLMp+dvU\n6ypDgPytwG3FQDCYujDG4QTKBsvrvhZ56XQC5z8PDDhefi/6vGc8CFz4ElB+aHzPlShRrxoiIiIi\nIiLqEIIpfqUTw5h00gYQWz+O3CeqlAn45dAEgHUDX5NQ5acVwPL7Q8foApugP/5hSg5W9guJAAAg\nAElEQVQnMGCCxX4XUNxLXs8pjtzntOjL4skHhk6J75mSgQ18iYiIiIiIKA0YxqSTFNSEKzqtDcZt\nd5YBa+bJ6/s2AY+MAQ7sNh5nFap884L4mIAXWP288fghNsIQhxP45ZvyS8TplKecPvl2YPqjun2u\n0EoH7ILNyhgiIiIiIqIOS0rxf+nEMCadggFACoj3icIYrU8eBuq2AOsXGfdZhTFK1Yy+eibgBapW\nG48/9nf4Yfrbas8XEWWYksNlcYwDOO46oKhn5HalMsZ0WFY7sqraISIiIiIiIkoS/vSZTlLQvCAk\nWhijnFjYPfRWcyGr3i9BJYwRDFNyutVeMgp3NgI5+dGDFkBT5RKDcODRAcMYq748RERERERE1K7S\n3dcllRjGpJNZVQxgDGO8zeLjwpUlmt+G9dvMr6uEMPowxt9mDGIANWBx55hf005ljJnw88d+KhER\nEREREVEm4DCldJKC8lAlhbZ/jD6Maa4VX6NhB/DvyUD9T+q2zcvM7xnwRy4VyixHZrJyzfcpYYwz\njt8+HblnDBEREREREXVYQUgpfaUTw5h4+NuA928F2g7Edp4UjKyOeeM38vKbecDrsyKPbdknvsbX\nzwDbvwA+e0zdtme9+T3Nhin5TCpvFHbCmHhmH+rIPWOIiIiIiIiI0oBhTDxW/wdY8Qiw7J7YzgsG\nIqthlJmSPn7QeGyzSRijDE/yt6nbfK2Rx5xyp7oeMAljaip1F9b1S/Hki+8PqGGM2yKwMdORe8YA\nwKRbgYtfbe+nICIiIiIiIh0pxa90YhgTqx/eA757XV63apwrIknivjF+XZgSDJhXxih9XrThyv4d\nkccce63mnqH7/bQi8pgFV0W+z8oLrYRCGavKGCVQcWebHxPt3I5aGXP89cDgk9v7KYiIiIiIiCiD\nsYFvrOb9XF2PdfYdKShumqsPY3wtQOt+8TWa98pLb5P9+/pagHVRqj3OexbYuhzoPhpo2ABkWVTG\n5HaRl1ZNfs109MoYIiIiIiIi6pDS3dcllRjGJCTWMCYQ2cBXoR1yBMjhTJtZGBNq7NtYrXkGzW9I\nZ5bxHLOZmbRKBwBDJ6vvrSpjckJhTFY8YUyogW9HrYwhIiIiIiIiSjGGMYmIpzJGNExJP7ORr9m8\nMkZxIBTGZOUBPk2VjKhaxR9l5iRA7QOjsApjWBlDREREREREaRaMfshBgz1jEhJjGBM0qYwJ6nrP\n+CwqY8LHhAIYfXWKqI9LtGmsAWMYY9XAV7mHS1CFE01H7xlDRERElCQPPXgH1n//CVatfB9jx4wU\nHtO/fx98+smbWP/9J5j3whPIyor8/uqIcYehtfknnH32VABA79498cHil7F2zYdY881SXPPby1P+\nOYg6ir/c9SAmTP0FZlx8VfSDKSNJKf4vnRjG2CVJQNU3kdviqYyZf3H04+xUxihDm/QzGonCmPdu\nsfNwkW+tKmMSwcoYIiIi6gROO/UkDBk8AIcOPw5XX/0nPPbo3cLj7r7rFjz8z6dw6PDjUFfXgMtm\nXhDe53Q6cfddt+D99z8Kb/P7/bjxj7dj9GEn4tjjpuHqq3+FYcOGpPzzEHUEM04/BU8++Pf2fgyi\npGAYY9e3LwNzJkZuizWMCfiAmu+jH2fVM0bhbZSX+tBEFMZsfE9eDj4l+r0V4dmVQi7/wP65Vtgz\nhoiIiDqBadOm4PkXXgEAfPHlKhR3KUb37uWG40484Vi8+uoiAMDzz7+M6WdOCe/77W8uw2uvL0LN\nntrwtt27a7D6m3UAgMbGJqxfvxG9enZP5Uch6jCOGDMKxUWF7f0Y1I6CKX6l08ETxny/EKh8q/3u\nX73Oen/lW8DHD1of47M5A5KdyhiFYZiSRUVLfjd711SeQavPkdHPcecCI862PsbJNkVERETJ1tjY\niG3bthm2r1+/vh2ehgCgV8/u2LG9Kvx+545dhtCkrKwE9fUNCATkYew7du5Cz17yMT17dseM6afi\nyX/NNb1Hv369Meawkfjiy9Up+ARERJRKB08Y89IlwPyL2u/+ol4v2p4x8y8CltxuXfFhZ1YjINQz\npsHesfrbuT3ysv/xxmPzuxq3KeGNvhKmQjCu+dKFwMx3zJ/l+OuB854x3w9wmBIREVGSvf322zj1\n1FNxzTXXYOrUqVi7dm14380339yOT0aJePCB23Hzn++CZPK9ZX5+Hl6a/xT+cMPfcOBAY5qfjoio\nfWRSzxiWKUQjScDejfIQIz3RMKX9VUBxL/G19NUmZnzN9pruaq+Z0wVorVdnOLr4NeDj+4GP7lWP\nLTCWxuLc/wM8eUChrrx18CTgLzXA/UOB8mHytoETjedr2Rm2xQa+RERESfWvf/0Lr732GsrLy7F2\n7Vr88Y9/xPXXX49TTjnF9Ad5So2rr/olLr9c/sfDr7/+Br379Azv69W7B3ZW7Y44vra2Dl26FMPl\nciEQCKB3rx6o2ikfM+7w0XjhP48DALp2LcVpp54Ev9+PhQvfg9vtxsvzn8KLL76OBQss/qGMiIg6\nLIYx0ax5EVhwNVAywLhPOwORKxsItAF7NyQexvhbxeGPyBGXAYtvAQJe+b3SM8btAXJLIo8VDVPK\nLQH6jRdf250N3PSTvecAjDMyibAyhoiIKKmCwSDKy+V/cBk9ejTmzp2Lq666Crt27YIj1v52lJAn\nnnwOTzz5HADg9NMm4ddX/wrz57+Bo486HPsb9mP37hrDOcs++hTnnDMVL720EJdcch4WvrkYADDk\nEPX7s38//RAWvf0BFi6U+wA+NecBVK7/EQ8/MicNn4qIqOPg1NaZ5sULga+eFu/bFSr1rdsi2Kn5\nBkcJOvbvMr/Pmv/aex5fCxD0Rz9uyGQgO9TAqv9xwJiLgDP/V92v788iGqYUz/TUZmxVxrCBLxER\nUTLl5+dH9IspLy/H3LlzsWTJEmzcuLEdn6xze/udJdi8ZRs2VK7Ak0/eh99e8+fwvjffmIsePSoA\nADf/eTZ+/7tZWP/9JygrK8H/PfOi5XWP/dmRuOTic3HiiT/D118txtdfLcZpp56U0s9C1FHc+Ld7\ncNGVv8fWbTswacbFePXN99r7kYjixsoYANj6iTioAKyrPSLCh1C4ELSoaFkvaED8+M+M23wt9ipj\nXB75pazPeDxyvxJ8KESVMfpjEsHKGCIiorS77bbbDMORCgoK8PTTT+OddziEpT1d+7tbhNunTb80\nvL5lyzaMP/YMy+tcfsXvw+srPv0Kbo9JFTZRhvvH7Te19yNQOwtm0D/qszIGkIcPSSYFT5bVHpp9\nyvl2hxcpar4zbnv/r0BTTfSZh5xu68oWp25fvqBnjP6YWA0+WV2PKYwhIiKiZDj00EPRr18/w/as\nrCyceeaZ4ffnn39+Oh+LiIiILDCMCfjkahazhM1u5Ygy25Kd4UV26Wc40nNlqc8nCo30wUduF/E1\nEnHxq8DYS0LPwDCGiIioo2pra2vvRyAiIkqIlOKXmeXLl2PKlCk45ZRTMGeOsV/XwoULMW3aNEyb\nNg2/+MUvsH79+qifhWFMeNYik196y2FKmn1SKIyJtTLGStQwxqN9GON+bfAx9hJ5pqVBk8yPiVf4\nGjZ6xii/ZiPOTvy+REREZBub+RIREcUuEAjgjjvuwNNPP41Fixbhrbfewo8//hhxTO/evfGf//wH\nb775Jq6++mr89a9/jXpdlikoYYzpMCWbPWOU87U9YwJ+dZajeGTlWu93ONWKHtE3WK7Ql9edC0x/\nVF6/5DXgtmLNMUlo4Ktcw843eQ4HcONmIKco8fsSERERERFRpxFsh96ja9euRb9+/dCnTx8AwNSp\nU7FkyRIMHjw4fMzhhx8eXh8zZgx2794d9bqsjPE1yUvTMMZqmJImfAgKesa8dAlwV4/Ynqewp7ru\nKYjc5wpNW60ERBFBkUVljFVIkmjPGO19zH4N9fLLkjuLExEREUWlb/JLRERE0VVXV6N79+7h9xUV\nFaiurjY9/pVXXsGECROiXpdhTLTKGKueMdqQQ6mA0YYxG96O/Xn+8D3Q+yh5vbR/5L7sUDijDF9y\nOGA5si0cxlh8mZMRiii/Rsnsl0NERERJdd9997X3IxARESVESvF/ifr888/xyiuv4IYbboh6bGYP\nU9q1FtjxFXDk5ebHhMMYwS98w05g2d3R7yNJgL9VXrea2toOh0MNT8qHA5Vvqvuyi4DmWrn3i7cx\n8rmFDXyV4UM2+97ESwl9ktkvh4iIiGwZO3assB+MJElwOBxYtWoVAGDo0KHpfjQiIqKDXkVFRcSw\no+rqalRUVBiOW79+Pf7yl7/gqaeeQklJSdTrZk4Y894twJaPgKs+Ubf963h5aRnGNMtLUWXMsrus\n7xnuE+NHuEIlkITqEOUbqhzd7EcF5UDdFk1jX+03XqIwxmW+L3xaMsKYUOijzChFREREabN69er2\nfgQiIqK0sNkYI6lGjRqFrVu3Yvv27aioqMCiRYvwwAMPRBxTVVWFa665Bvfddx8GDBhg67oHbxiz\n5E5gfxVw1hPy+88eje86XoswJlqwooQPSlUMkHhlDKAGJK4sYPrjwBu/lt/nd5OXbqV3jAPoFWoU\nNPp843XCw5RM7nPafeLprmOl3IfDlIiIiNpdbW1txDTWPXv2tDiaiIiIrLjdbtx666244oorEAgE\ncM4552DIkCF48cUXAQAXXHABHnvsMdTX1+P2228HALhcLrz22mvW1035k6fKx/fLSyWMsSJJ5k1s\nrSpjooULyjl+9RuehGZPCgs9q9MNjL1IDWOyC9XtitKBwG0N4su4TIYpOVzyVNxjL0nCs4I9Y4iI\niDqAJUuW4N5770VNTQ1KS0tRVVWFQYMGYdGiRe39aEREREnRHrMpAcDEiRMxceLEiG0XXHBBeH32\n7NmYPXt2TNfsHA18rYbPWDXwjRrGhK7bUq9usztMadZH5vuU4EjfXFeZ2cnO8CPAvIHvRS8DQ0+L\nPnW2XeHKGPaMISIiai+PPPII5s+fj/79+2Pp0qV49tlncdhhh7X3YxEREZFAJwljLEICpTJGeF6U\nYMXXCsydDjw6zt69tOwMD9JPO62EMFZNe0XH60ObwZOAC/8b/Xy7XOwZQ0RE1N7cbjdKSkoQDAYR\nDAZxzDHHYN26de39WEREREnT0WdTisXBO0wpFgGfeRVIIsOU1r0KNO+N3LZ2PnDKnUChsbtyBJfH\nfF+4Z4zuy2OoQIkWxijDlJIUupjehz1jiIiI2ltRURGamppw5JFH4oYbbkBpaSny8vKin0hERERp\n10kqYyxCgkSGKXmbxNsXXhP9mZxu4JpVQF6ZcZ8Snihhyjn/Bi74r7E3S9TKGJNhSsnGnjFERETt\n7vHHH0dOTg5uvvlmHH/88ejbty+eeMJGbz0iIqKDRDDFr3TKvMoYUbPegA9orAFyS43VJpaVMVGG\n3WhnUYrY3hL9OR0uoGwQkF0ENNfqd8oLZfjPqHPl5Zbl8tJuX5pwo19WxhAREWU6bRXMWWed1Y5P\nQkRERNFkXhgTDBgDl0Ab8PAoYPh04OdzI/clUhljNqbM1wLUbbU+1RmqVhFVtzg0sylFnKNUoNgc\npqT8OqRrmJLdkIiIiIiSbvHixbj//vtRW1sLSZIgSRIcDgdWrVrV3o9GRESUFJLUPrMppUIGhjE+\nYxijTD39/RvG471KZYzgixpvpceOr4BHosxe4LCYEUkZVqR/pnAFSqhiJ1rIotwj5cOUlAa+DGOI\niIjayz/+8Q88+eSTGDRoUHs/ChEREUVx8PeMef1q4LFj1PcBwWxGShgjoh+mtGsN8L/j5OmqUxku\nKFUup94D5OhnVlJCFn0Yow89olW8KOenuDImuzBySURERGlXVlbGIIaIiDJaEFJKX+l08FfGrJkX\n+V4UoAS8mnV/ZOWMfpjSsnuB2h+BrZ+Ig51kUapWhk4Grt8AzNbMvqRUvOgrY372W2D/TqDXOGDR\nH4CiHtb3sDsFdqKGniqHSmMvSe19iIiIyNTIkSNx3XXX4eSTT4bHo87aOHny5HZ8KiIiIhI5+MMY\nPVGAog1j/K2Aq0B9r6+McWmmj47WwDcRSmWMfj2CLozJKQZmPC6HLLldgOEzrO+RVyovj5gZ92Pa\n4nQCx1yd2nsQERGRpaamJuTm5mLFihUR2xnGEBFRpkj3jEeplHlhTDDKMCV/K5AtCmNCwYcyFKh5\nH1D9bfKf75x/AwXl6kxJgKZ/jPLepGdMeL8DGHlO9HtlFwK37kt9zxgiIiJqd3fffXd7PwIREVFK\nSWkeSpRKGRjGiIYpaQIa/XTUyjAl5YuqhCRL7kj6owEA8rsCAyZEbnPqwpLC0PAjT37i9zOtuiEi\nIqJM8ve//92wraCgACNHjsTJJ5/cDk9EREREZjKvZEI0vXJAWxmja+arH6akzFjkbTS/x3nPxv14\nhioYkSmzgTMfNYY2RERERCba2tpQWVmJfv36oV+/ftiwYQOqq6vxyiuvYPbs2e39eERERAljA9+O\nLNowpXAljO59uGdMqOGd020+m9KIs4AP7wb2bojc3nMsULXa+vnsDBny5AOHsxkuERER2bdhwwa8\n+OKLcLnkf/i54IILcNFFF2HevHmYNm1aOz8dERERaR18lTHBKC17hA18tcOUdJUxXn0D39AwJWcW\nLIlClfNfAHofaX0ehw0RERFRCjQ0NKC5uTn8vqWlBfX19XC5XBGzKxERER2sJElK6SudOkZlzM6V\n8nTNdkhBWGZIosqYiGFK+soYfQNft+Y+FkShiisLcOdYn8dmukRERJQCV1xxBaZPn46jjz4akiTh\nq6++wlVXXYXm5maMHz++vR+PiIiINDpGGPPUScBtDfaOjRaSiHrGaKthnp0KzHgCGHOhXDGjhDdS\nEFgzXx1m5Guyvo/DYdzmdAPu7CjnsTKGiIiIku+8887DxIkTsXbtWgDA73//e1RUVAAA/vSnP7Xn\noxERESVFJk1tffCVaUQLY2q+Bza+H7lNP3RpwdXyUts/RgoCr88Cflph7zlEoYrTDbiihDH6mZOI\niIiIErBp0yYAwHfffYc9e/agR48e6NGjB/bu3YvvvvuunZ+OiIiIRDpGZUw02rFbUsD62Leuk5fa\nSpuVz4iP9anjqqOGPJcsAJ6fob43HaYUrTKGYQwRERElz7PPPos777wT99xzT3ibQ1PBO3fu3PZ4\nLCIioqST0jzjUSp1/DBm04fqDEdA9NBEZO8P4u0RYYzgi+rOAfyt8vqgEyP3iUIVp52eMRymREAg\nKMHpiPxmmYiIKB533nknAHn2pAkTJqCgoACPPfYYvv/+e/z6179u56cjIiIikQ4TxjyxbBOWVFZj\n9lmjcEj3QvWHVW01CoC5n23B9KOGoTjK9eZ9sQ0XWux/c00VJndtQriOpfpbwzHBrHw4Q2GMJElQ\nfmz+saYR3b0SCnTHv7J6FyahACUW9911wIfaQAMWf7cbJxxaji65WagoysGeaS+jsKI/6vc0on9Z\nPhpafFj5Ux2+3dmAo/qX4qgBpWjxBdDmC2BD9QF0LchGSZ4Hj334I44f0hWThlWgxRfAP5dsxDfb\n6vHUpUdg1fY6HNm/FLlZLtz9diUmDavAyF5FCEryr/enm/bi+CFdMaZPCY4f0hXvfbcb31Xtx4k9\nAnhl5Q5s2tOIQ7sX4pDuhfixphEnHVqOXQ2teO7TrehWkI2fH9kHvkAQvUvy0Oz1Y9VP9RjQLR/d\ni3Lgcsq/Wg3NPuze34quBR5sr2tBWb4HX23dh3U79+OWqcPCx31ftR+5Hhe27m3CrQvX4aKj++G8\ncb2xfOMeTBvdE19u3Yf739uAXxzVF2eP7QWHw4FlG2rg9QcxaVgFslwOtPmD+HLLPry1tgqjehVj\nRK9i9CzOxcaaAziyfyk8LickAF9srsWXW/dhyojuyHY7EZQkfFe1H89/9hOunTQEbf4g8jwutPkD\nOLJ/KQpzsrB9XzN6l+RiX5MXrf4ginOz8OWWWrR45fWyAg9afQG8s243vtlWj2mH9cDq7fWYOqoH\n8rPdOGZgGdbtbMBXW/dhSHkhZj3/Na6cMAiThpWjctd+jOxVjKEVhWhs9cPtcqDJK/c+2lnXgkO6\nF2JHXQve/mE/dkrVGFRegN/OW4Vbpg6D2+nEox/+iAuP6ouiXDeq97diSHkhJAkoyc9CszeAwhw3\nCrLdyPO4UVXfglXb6nDayB5oavOjxRfARz/swZQR3eH1B7FtXzPyPC4MLi/A5j1NGN6zCPuavNiw\n+wCOGViKJm8AbqcDd79dif2tfvzx1EPw0YY9aPIGMKS8APnZLiz8pgoVxTnokuvBwG758PqD6FqQ\njaEVBXA4HPD6g7jl9W8xtm8XXDK+f/jPxueba5HvcWP5xj0Y0bMIjW1+5LhdGNu3Cyp3HUBFUTZa\nfUHUt3jRozgHfUvzMWf5Jjzw/g+47NgBOHdcbxxolX/dinLdaGz1Y9OeRhTmZOHzzbX4zYmD8fXW\nOqzYtBeHdi/EO9/uxoSh3XBk/xIM7FaAVl8AO+pa4HI64HQARblZ+HZHA3qX5KIgx439LX78VNuE\noweUobwoGx6XE/6gBH8giGUb9uBAmw8zxvTC6u31aGz1I8vlxJLKavTvmo9zx/XGtn3N6FeWB4/L\niY01jSjOzcK976zH2H4lyMty4djBXbF2Rz0mDauA1x+EwwF8s70eeR4XfqhuRNcCD/wBCccO7orP\nNu/FhCHd0OyTvx55Hjca2/woyHZjf6sP+xq92NPYhs17GnHeuD5Yu7MBOVlODOiaD6fDgf9d+iPO\nPKwHBnWTvybfVTXgi837UFGUg9G9i9G9OAdfbN6H11fvxDEDSzGmTxc4nQ5ku534emsdJg0rx9db\n61Ca70FRbhb6l+Vh9/5WBIISepfkQZIkbKxpRH62/HX4zbxVmDGmJwJBoEdxDroVZqOiKAd9y/KQ\n43aisc0Prz+ItTsaMKZvF3jcTsz7YhsCQQk76lpw5YSB8AclNLT4sL/Vh7F9uiDb7UJQkrBpTyOW\n/7AHfUrzcGT/UizbsAd93fLvg31NXnjc8tehR3EujuhXAn9QwlMfb8bqbXW4Y/pIdCvMxupt9fC4\nndi2rxlFOW70LsnD+t37cUhFIdbvPoCvt+7DLVOHw+kAnA4HnE4H9rf6cKDVj7J8DxwO4PY3v0dh\nthuzJgzEjroWFOa4MaBrPlp8ATy69EdcOr4/PG4ntuxtwoCu+WjzB+APSGj1BdDqC2JIRQGq97ei\nW2E2mr0B7DnQhmE9itDqC2DVT3UY07cLAOC1VTuxo64FbqcDlx03AO+u240ueVk48ZBy5HrUsN8f\nkP/h4uWVO1CQ7UZulgsulwOjehVjzfZ6jB9UhjyP/C3Avz/Zgi821+KJi8ehzS//ORhaUYgWbwBf\nbt2HoweUoqq+Bd9V7Ud+tgsF2Vl4Z90uXHvSEOysb0G/sjy4nU4EJAlrttfjqAGlCAQlLFq7C6N6\nF6NLbpTZCSlpnnjiCZx++un4+uuv8fnnn+Pyyy/Hbbfdhpdffrm9H42IiCgpghlUGeOQ0j1/k87K\nlSsx7s2T0L91Xnjb2L5dsG5nA4pzPfjaf07E8aNb52CwowqvZd9med3z2m7Fy9l3mO7v3/oCxjg2\nYUH2rWiVspDjMM7CtD3YDX2cewAAp5e8hbfrzgidOw/zPXfgaOd63TXn4QrXIvwl6wXT+05q+wc2\nSb0snz3b7USbP7YKoEHd8lFV34oWX5RhXP/f3p1HR13f+x9/zZpM9o1MiISwJRARgoqtVCwalgAp\nSn/Ueuzyu6WlWrWXqlVr6yl1KbTa6s9zrr0eLP1Ve+7V43UDJf5aNdZCpVZFMCpBGzCagJmQhezJ\nJDPz+2Myk2Uyk0AymSE8H5ycmfmun5nPfIfMO+/P+xMGczIT9Fljh5x9bU62WZQSZ1Fju1OdTpd6\n3cHfYuek2NTZ41JjuzPoNhfPStO7n56Us+/LxbysRLU7e1Xd2F/zJyXOopMdw8yk1cdqMspolLp6\nTr/kk8EwfALVaJiMBrlCvA4+VpM346rX7VawzTMTY1TX2j38ynFgMEhTErznmGtP1Cf17f7XPhxs\nFtNpvW/H0h9jZTRIGQkx6u7pkdtjVGu398v/SO/D8WhzYozZfz6fKYkxOjGK94TVZAzoy/R4qxpC\nXH+nIiHGrBUFmao80aYPjrWM3B6zUbFmo1q6him8HoLRoKDXh092cqyON3cFLI+3mtTuPP3Pyayk\nWCXEmlVZ1ybJ+5q6PZ6Qn3M+p/peT4jxBtkkKSnWrLlZiXq7qsm/3mIyqMfVf97UOIsSYs2qbuyU\n1WRUjMXoD1AOZTYadE6qTR6P9Fljf5ao75hL52To75X1o2qnyWiQx+Px98m8rETVtXYP+lx/9qos\nXXjhKGdNxGlbv369du7cqQceeED5+flat26df9lwzNbQv48AkDqP7410E4AzgiVj1oScZ0VOcViP\n/2r1X8J6/IHCnhmzZ88ebd26VW63W1dddZWuvfbaYbd76OpFqm/r1tH6dr1w8Lh6XB7Vt3VLQ0b9\nXBl7UPfqP0c8b6hAjCSVWW/V7+J+IHVJ3cY4xXoCZ3NyW+OlXm8wpr6t/4vOdV+epZyPE6STg7e/\n/rLZuqC5QKoIfl6r2azV+Vlau3CqHM1deufTRv3lQ4d//Q2XzVZrV69S4yxq6ujRVYunad+RBlV8\n3qLpaXFKjbOqpqlTlSfa9I8j9fr1/1qopg6n7v/zR5qWZlNanFVFBZmqaepUTmqc/s8rHyst3iqz\nyaDGdqdS46xaPCNVJoOh7y/n7Vo6J0NdvS41tDmVnmDVPyvrdOWF03VFYbaefqdGnU6XVpxr17P7\na5QYa9aczAS982mTPjzWrOPNXcpOsWn5vEx9YWaajp3s1HvVzapr7dJ52cmamhyr+eck6b/f/Ez1\nbd2aNSVBy/Kn6CNHq/5xpEE1TR26ovAczctK1Ivlx+X2ePTdS2Zq35EGOVq69N4XKNoAAB7qSURB\nVFFtq46f7NLygkz9ZPU8/fOTBm3fc1SpcVbNn5qstu5etXX3KjvFmymRGGtWXmaCunvdspgMOnS8\nRR5JHztaNTXZpsO1LVo6J0PZKTb9x2uV+qTeO2vWioJMvVpRJ0m6rXiuEmLM6uxxqanDqd/vOSq3\nR/rmF6dr14HjSo6zKDc9TjPS49Xr8qjH5VZNU6fe+bRRm5fn6aFX/yXJ+wXl4llpSomzqqGtW28e\nbfT3c1ZSrGpbvF8Uf7n+PP36/x1WW3evis/LUkKM96/bCTFm7f+0SXOzkjQt1aaazx3adbhVda3d\nmpocqzirSSlxVi2Zla73ak5q/6dNmp+dpOwUm9YumKoX3juuj2pbtXBasp5795j/3Mk2i76+eJqM\nRoPer2lWbnqcnnyrWpL03Utm6r/e/NQfDPykoV2X5mXow+PeL9YpcRYdrvVmqWy4YJqaOpy6NG+K\nXjnkUI/Lm1H0hZnpspgM+uvhOn1S365vXpwrg6Qn3vpMTe1OGQ0GXZCbqqMn2vTuZyflGhCdyMtM\n0Przz5Gz160X3zsuk9Egq9noP78kXT53iqanxSkx1hv0O3S8RS1dPWrvdumDY826+qIc7fj7J5Kk\nVefadW52kg5Wn9S+Iw360fI8dfW4ZDUZ9cAr3uGLm4vm6O2qJnU4e7VkdoZy0mz6v3//RB1Ol9Li\nrTp6ol3F8+2KizHLnhirhvZu2awmHalr12d1J2VPS1ThtBRNS7Xp75X1SrJZFGM26oWDx5WbHqdb\nVs7VM/urlZMWp6YOp3YeOK4vzU5XbnqclsxO17P7j+nIiTZVN3bogtxUHTreomVzp8hsNKiqvkNv\nVTXKaJBWFNh10Yw0Pbr3qFq7e5WZGKOCqUn62NGqc6cmqexwnf81mpkR782YiTHL4/HIZjGpubNH\nF+am6r//+Zl/u6nJsZqblaiMhBgtnJas8ppmvXDwuJwuty7Ny9Def9VrXWG2ZmXEKyPBqv98/Yg+\nb+7yZ/jk2RP00vu1kqQZ6XEyGg3ad6RBafFWrV+UrfysRJ1o7VZirEXNHU5d88XpOvDZSdW1dCsn\nzabyGu9nxayMBNW3dSs5zqK6lm597GjV+dNTlBpn1doFU/VGZb32HWlQe3evvvHF6frweItaOnv0\n4nvHlZMWp6VzMuR0uf3ZOn+vrNfx5i7NtScqLd6qGy6frWNNndpbWa9PG9pV09Spkx09mp+dJEdL\nlzITY1U8P0tNHU4tnpGqmqZO/eNIg94/1qzuHpc/eDMrI15TEmMUH2PWlYXZirWY9LGjVUaDQclx\nFr12uM4fpJnXl9HmC6bk2xOUl5mo7JRYNbb36Gh9m5JiLSqen6Ukm1lvVDboybc+818HnT0uf+Bn\nanKsnnyrWm9XNSkhxqxfrDtXf6+sV6/Lo29dnKsTbd2qbuzQ8ZOdKq9pVrU65XS5/YG3b35xup54\n6zP925IZmpIYo7qWLr1xpEEnWrt1TopNtxXP1cuHHOp1uTUjPV4vH6rVh8e9nw0xZm9AZ11hti7M\nTdXzfZ8lWcmxeu1wnTZeMkPvVDV5gzhuj/Z+fEIGg0EFUxP1RmWDpqfFKd+eGPw/RYwru92uLVu2\n6I033tD3v/99OZ1Oud2Tad4JAMDZLsK5JOMqrJkxLpdLxcXF+uMf/yi73a6vfe1revDBBzVnzhz/\nNr7MGG0qk6YtliSd7HBq35EGFc/PkumelMEHvfTH0t4HxqeBq++T/vwTKWW6dPKzwPXTLpJq3vbe\nv6tZuiu5//7jV0if/G3w9nc1S1VvSI+tHbzcmiA5vb+ga/MBKW1w1PCDY83KTrEpxmxUfMzo42Pd\nvS7FmL1f3HtcbpmNhoAaJC1dPUqMMctgMKjT6VKsxThoG4/HE7BPRUWFCgoKRt2O0+Vye9Ta1aOU\nOOvIG4dJV49LFpNRJqNBR060KSM+Rslxg1PqG9q6FWMxKWGEvulxuWUxGdXpdA0aLjDQXw/XaVFO\niuJjzGrqcColzqIYs0kej0f1bU5NSQxeALqiokIxGTnq7nVrrj1RRuPgfhuuL3tdbplNRnk8Hj29\nv0aX5U9RZlJgXaPXDjuUl5monLQ41TZ3KT7GJLPRKLPJIItpcH0k33CY8eBr818/qtPsjARNT48b\nl+NWN3bonBSb/zVyuz3q6HENaverhxwqzEkJ+ZpL3vdIrGX4/jyda8XXJ0P5rueh/XiitVtxVpP/\ns8E3/GToMRrbnepxuRVjNoa8po6f7NQn9e1aMis94D0kSU3tTiXGmoO20WQwBKyraerQtNTx6bvx\n8NIbB1W8pNA/DHI4dS1dykjw9v1wr8NAzx+oUU5qnBbPSBvXdg7brtYupcVZA17j3/zlsLKSbfrW\nF6ePWGuquaNHyXEWb/DTaFCyzRLycylcelxuudwexVpM3v/ryYwJu87OTu3du1f5+fmaMWOG6urq\n9PHHH2vp0qXDbk9mDDAyMmOA0ZmozJjl01aF9fhlNS+H9fgDhTUzpry8XLm5ucrJyZEklZSUqKys\nbFAwxm/Hcv8MSCl9fw0d1njGjmr76sRYh1Z/6ROqGG+wWZGmL5GW/URqqpLKn/Jud0uF9OucoPud\nd85IFXCG5wvESAr4wuyTFNsfWBjuF/FIFpA1GQ0RDcRIGvQle/aU4d8H6QkjzJDVx9cHob7wXD4v\n03/fPiAoYjAYRgwKSNKsIG30HWMo3xc6g8Ggry/OCbpv0Ty7/35Wcugi1OMViPG1S5Iun5s5wpan\nJidtcGDAaDQEtHvFuXaNRrBAzOkaLsgh9V/PQ/tx6Psi2P5p8aO7lrJTbMpOsQVdnxriOAM/cwaK\npkCMJM1MiwkZiJE0bFAymK+eP22sTRq1zMTh23Vb8bxRH8MXUB7YlxMdiJG8n4njfPlgBDabTatW\n9f+SmpmZqczM8f18BQAgkiZTzZiwBmMcDoeysrL8j+12u8rLy4NuX1EROL5n6N+c6xvqlTFO7euq\nekuxkjpcRg33VaKty+kv0ltRUeFvS0VFhXI6OpUgyWWJl6mn3b9ckpT1VSX2vKZpekrtUy7QZ58c\n8+/7ryOfqDe+U9Gsq6tr2L5AZNEv0Yc+iU70CwAAAKJd1MymJGlU6f4ZKUnjdr7Yk96aEXHJGVJD\n4PqEpFSpNrBtBQUF0rvJUq1kmv9V6eB/BWwjw1FpnxQfZxu0PC8vX0qO7rTgiRqmhFNDv0Qf+iQ6\n0S/RZ//+/ZFuAgAAmAQ8kygzJshYm/Fht9tVW1vrf+xwOGS3j25oQFDdrWNs1RDnLJYSgrTJGCJW\nZeob/mMMkoNt6ksP9wwpnBdsewAAAAAAcFYIazBmwYIFqqqqUnV1tZxOp0pLS1VUVDS2g3aPPF2q\nJMk0ujofmnFJ8PovJsvwy6X+YIvRLFmHmSnCt697yDSmBoIxAAAAAACcKrfHE9afiRTWYUpms1lb\ntmzRpk2b5HK5tGHDBuXl5YXeqbtV2vcf0swvSzOGqf7fNcpgTIJd+tYz0u++MPx63wxHZluIYMyQ\nQpZZCwPXGc3Sze9LPV3D7+sZGowJa/wLAAAAAABEubDXjFm2bJmWLVs2+h3+9Yr0t/uko69L3xtm\nWqmu5tEdxyBpytzg62OTvcEYS4gZNYxDMmN+MGBqu4HDlGyp0tDJSYxBMmOMBGMAAAAAADhVk6di\nTJiHKZ2Wnr6Zhpwdw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"text/plain": "<matplotlib.figure.Figure at 0x7fc842175da0>"
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
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NW822+f4mAMj5m4KhKsNIOIRFd07MmtvVsrABqwUKHry8YT6fRbQ5IlQLMV4T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"text/plain": "<matplotlib.figure.Figure at 0x7fc83d700908>"
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"image/png": 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o9LlbdgmtBQsWYPXq1Re8lpGRgaSkJGzZsgVJSUnIyMgAAOTn5yMrKwtZWVlY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\nREQOYFgoQ4uIiBQgwFMHbzcXqcuwC4YWEZHCRfq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"text/plain": "<matplotlib.figure.Figure at 0x7fc83c1839b0>"
},
"metadata": {}
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "### Negative Correlation "
},
{
"metadata": {
"scrolled": true,
"ExecuteTime": {
"start_time": "2017-10-03T03:53:16.061756Z",
"end_time": "2017-10-03T03:53:20.383609Z"
},
"trusted": true
},
"cell_type": "code",
"source": "df = generate_sample(signal_1_noise_level=5,\n signal_2_noise_level= -5,\n mean_range_std=5)\ndf['signal_1'] = df['signal_1'] * -1\nfig = plt.figure(figsize=(20,20))\n\ndf.plot(ax=fig.add_subplot('221'))\nsns.heatmap(df.corr(), annot=True, ax=fig.add_subplot('222'))\nsns.jointplot(x='signal_1',y='signal_2', data=df )\nsns.jointplot(x='signal_1',y='signal_2', data=df, kind='kde')\ncorr_value, p_val = pearsonr(df['signal_1'], df['signal_2'])\nresults['negative']={'Correlation': corr_value, 'p_val': p_val}\nprint('Correlation Value: {}, P Value: {}'.format(corr_value, p_val))",
"execution_count": 36,
"outputs": [
{
"output_type": "stream",
"text": "Correlation Value: -0.9711192308682103, P Value: 0.0\n",
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"image/png": 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ijUEcIiKqX3vXAG9PVI5L80K80RsUKTfI3DFbLtxIoiqIs20xkLcj+D0/r9Ye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\nffe5pQAAAABJRU5ErkJggg==\n",
"text/plain": "<matplotlib.figure.Figure at 0x7fc83c5972b0>"
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"image/png": 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LB1rbQhXn2tCvj3KBp9VihtkUr6ZOgTbsaQhasShNVyp1t/fnaHVFrWUWEfU8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\nXgUAu0sLsG7OBNku9BazCfdePThqMVF0JeRIa9y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k27aWlpY0PT2tycnJWpcF4B/otNCQ\ndnd3lU6nVSqVNDw8XPXr6wBqi04L+AS3t7eKxWIVn7ndbqVSqRpVBNQnQgsA4Bi8PQgAcAxCCwDg\nGIQWAMAxCC0AgGN8B7HzRyPdjA6IAAAAAElFTkSuQmCC\n",
"text/plain": "<matplotlib.figure.Figure at 0x7fc83c4ac160>"
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"image/png": 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AlBkwYkLBH0sseXJOBhdRcNFoNLhrSjqGJUXh/vd2YeuharlL8opsswdramqQ\nmJgIAEhISEBNTQ0AoLKyEtnZ2V37JSUlobKyUpYaPSVVGAQiBMQM73kyZFhSbeJQIZFMysqOid73\nhpHhWPZ9K25b8T2WzOiPYQr9d5uVleVwuyKmvGs0mqC58c0X3gz/OSM2QMSGF4OLSLlSUlI92v/J\n5AF46pN9WPRlFd6540KM7N/H/UEKIdvswbi4OFRVdaxCXFVVhdjYWAAdndWpU/97FkxlZSWSkpJk\nqdETvnZZYo735BqVp9ez3O3jyfU3IlK22AgjHp+dBYNOg5uWf4f9pxrkLkk02UJr6tSpWLNmDQBg\nzZo1mDZtWtf2devWwWw2o7y8HKWlpRgzZoxcZUrGl8CS4tqWmABz97rYSRoMLiLlS4oOxRNzRkCr\n0eDG/O0oqqiTuyRRAhJaDzzwAG644QYcPXoUU6ZMwQcffICFCxdiy5YtyM3NxdatW7Fw4UIAQEZG\nBmbNmoXZs2fj9ttvx6JFi6DT6QJRptd8+ZD2JUR8eU937+sKg4soOCRFh+LJOSNg0GlxQ/52bFHB\n5AyNoOI7zQoLC5GWNVbuMrz+kPclODodrap3+trgRHHj1K6uQ7l6Tcx1Ll7jIvJcXLj4X9QLCwth\njknz6f3ONJux5LNinKxvw6s3nIfZo/v5dD5/4ooYCuQqsI5W1Xf7ckXsvq46L3fDhe6w4yJSvtgI\nI5782UgMSYjEPW/vxFvbxc9GDDSGlo+k7rKcbRcTUu6ICS9PtgMMLqJgERmix6OzhuO8lBg8sWYv\n/lpwUJFLPjG0FMRVYEnJVXg567pcdWMMLqLgEKLX4bfTh2FKRjz+/MUBPP3JT7DZlBVcirhPK1h5\n0mV5G1gNJ0vd1hHdL83luR1d+3J2z5Wz7WLu5eJ9XETKp9dqcecl6YgMNWDF1lKcaTbjT9dmw6hX\nRo/D0FIwZ4ElJqic7e8owJyFF4OLqHfSajS4+cIU9Akz4N3vy1DXYsb/LRiPcKP8kaGM6FQpb4a8\nxHZZUgWWo+OdncPRe7oaLnSEQ4VEwUGj0eCK7P5YOGUIvj1UjZ//4zvUNpvlLouhpUSOwsNV2HjD\n2fmcXe/yNLjchReDi0gdLstMxP2XD8O+E/W45v+24kRdq6z1MLT8JJDLHplOlLj9csZVeImp1ZeZ\nhQwuInWYkBaLR2Zl4WR9G65euhWHqppkq4WhFUBiPqSddVmOuAskR/s625/BRUSujOgXjSd/NgKt\nZiuu+b9lTzfdAAAgAElEQVSt2F0uz7JPDC2FcxQmnoSVI86Od9R1ORoulHpKPIOLSB3S4iLw1BUj\nYdRpceM/tuObg6cDXgNDS0b2H9ZS34/ljqvwsucouKScoMHgIlKHpOhQPHXFSCRGhuC2FT9g40+B\nfd4hQ0vBnHVZznhzTcvZOZ11XfYYXES9T99wI56YMwKDYsNx11uFWL/nZMDem6GlIu4Cy92xrgJM\nbNfF4CIiAIgM1ePx2VlIT4jEr9/ZiY92VQTkfRlaKufN9S134WWPwUVEjoQb9Xhk1nBk9YvGA+/9\niP98X+b392Ro9WLOwsvRdgYXETkSatDh4RnDMWZgHzyyeg9Wbiv16/sxtBTKPiSchYsUXIWXq5o8\nmVnoCIOLKDgY9Vo8mJuJ81P7YtHH+/D+jnK/vRdDK0iZjhc7/HJ5jBfBBTieWWiPwUUU3Aw6Le6b\nltHRca0q8tvkDIaWD+Rc+NXlpAwX4eQuwBx1XY6Cy91wIYOLqPcx6LT47eXDkJEYhfve3YVth2sk\nfw+Glp+IeRS9P7jrpuz3dRVe9t97ep2LwUXU+4QadPjdjEwk9wnFnW/ukHzJJ4aWQjl7BpYrngSW\n/XGOjvX2Ote5GFxEvU9EiB4Pz8iERqNB3r+/xxkJV4dnaAWQ/XCi0p4r5Sy4xAwXnovBRUQJUaF4\nKHcYTjW04f7/7IJVoicgM7SoG7FdF4OLiNwZmhiFW3PSsPlgNf7+5SFJzsnQ8pGU3ZKjx953Cumf\nKdn7iMHgIiIpTB2eiMlD4/HKxgP47ojvEzMYWn4k12QMqTC4iMhXGo0Gt00ajMToEDz04Y9oMVt8\nOh9DK8A8ua7lajKGt52Xx4vpMriIyEehBh0WTklH+ZlWvPiZb4siMLQkEKghQl+IWSzX6esOrnMx\nuIjIEyP6RSN3RBJWbivF/lMNXp+HoeVnjoYIvQ25QFzX8uSmZQYXEXni2vGDEG7U49m1P0EQvJtN\nyNBSAKmGCEMGZElSD4OLiPwhMlSPq8cNwJZDNfjmYLVX52BoScRV8Hg6IUMJswjdDRfa7+vqewYX\nEXWalpWE2Agjlm467NXxsofWihUrMGfOHPzsZz/DAw88AJPJhLq6OuTl5SE3Nxd5eXmorw/sY+gD\nwV8TMqTqtjoxuIhISgadFrNGJWPbkRrsLq/z+HhZQ6uyshIrV67EqlWrsHbtWlitVqxbtw75+fnI\nycnBhg0bkJOTg/z8fDnLFE3J3ZYvHZoSg8sdBheRck0bnoQwgxbvfuf5QyNl77SsViva2tpgsVjQ\n1taGxMREFBQUYN68eQCAefPmYePGjTJX6R9q6bYA5QWXu27L2XFEJL8wow4XDI7D2j0n0Gq2enSs\nrKGVlJSE2267DZdddhkmTZqEyMhITJo0CTU1NUhMTAQAJCQkoKZG+uXt/SVYuy3Af8FlT2zYMLiI\n1GtKRjyaTVYU7K/06Di9n+oRpb6+HgUFBSgoKEBUVBR+85vf4OOPP+62j0ajgUajkalC/8uMD+n2\nwWr//eDEPl3dSHS/NKcf+CH9M7uFQ8iALK9XfXfFdKLEYfiZjhd36/Ds97P/vuFkaVf3eLSqvkdA\nl1Sbuv0CYP99p+LTJre/DDg7lihYlJUdk7sEj4ULAsINGnz83UGkG3rOW8jKcjxiJGtobd26FQMH\nDkRsbCwAIDc3F7t27UJcXByqqqqQmJiIqqqqrtfVwj54zpWVENKjQ3AXXOc6N7h6BJWI4LLfxxvO\ngsvdfq6OY3AReS8lJVXuErwyZpAZu6uaMXz4cNHNiazDg/3798ePP/6I1tZWCIKAbdu2IT09HVOn\nTsWaNWsAAGvWrMG0adPkLFN2ShsmBJw8a8vDJZ/cXd8Ceg7veTuj0NWxRCSPkf374HSjCRW1raKP\nkTW0srOzMWPGDFx11VWYO3cubDYbrr/+eixcuBBbtmxBbm4utm7dioULF8pZplc8vbblblLGucEl\n96SMTmKDyxUxwWWPwUUUHAbHRwAA9h4Xf1uTRvB2LQ0FKCwsRFrWWLnLcMrVB6SjD1h3M+fsP9DP\n/cB3N/lB7JOJPeWsa7MPyx5have9fRDbd5eOfglw9ouBmAkvHCokJYsL14net7CwEOaYNP8V40dm\niw15K77HPZcNxYO54kaAZJ/yHsx87bbseTJMKKbj8tcwIaDsm49dHUtEgWPUaxEfGYLyMy2ij2Fo\nyUjqYUIlXd8CGFxE5F5cpFE917R6A2+GoXy56fjcEBJ7fcufweVuPwYXUe/WN9yIqkbx/w4ZWgEg\n5Q3HQM9hQikmZvhrIV6lP0TS1bFE5H/hRh0a29pF78/QChB/ziYEugeXN9e3HO3nKbHDhI72ZXAR\n9U7hRj2aTBbR+zO0FEKK4DqXGoJL7LHOMLiI1E+v1cBiFT+JnaEVQP64vuXJxAylDRW6Cylvbj52\ntg1gcBEpkUajgQDAZhMXXAytAJPi+pa3EzMcfu+H4PKkY/J1mBBgcBGpmYCOsBK7xCxDS2GkuH9L\nCcHljD+ubznD4CJSPlO7DaEGrTrWHuyt3IWQ1BMzAN+Cy5vwctVtBWpihqvtDC4iZTBZbAgziF8B\nhKElEzUFl6N9feXNxAy5govhReQ/ZosVYUaGlir4e2IGIG9weTobUMz+cgSXq+OJyDfstIKItxMz\n/B1cUnVd3gwTOsLgIlIvhpbKSDFM6GibP4PL0f7ekuL6FsDgIlIrs8WGcKP45xEztBRAycEVqK7L\nnlzBxQkaRIFl4jUtdVJqcAHiui6Hx4kMNLEPjgxEcAGcWUgUSGYOD6qXFBMzHG0LRHB1HnfulyfE\nPqTS2+Dy5AZkgMFFFCgmiw3h7LSCk7OJGUoKLqlJFVyAZytnAAwuokBot9oQYhAfRQwthfFmmFDM\ncYDyg8vZMKE3U+EBz4KLNyETyaPdKsCoY2ipmlTB5eg8ag2uHvs5CDJfgsvVdt6ETOQ/FpsNBoaW\n+qkhuAI5XChmmBDwb3Cx6yKSXrtVgFHP0AoKSg8uwD9dlyfDhIEMLoDDhURSsgkCrDaGVlBhcNlt\n90NwcYIGkUzOPkJLA5HPJQFDSxWUFlxyzyx0FlyOZhU6WquQMwuJlEGr7Ygri80m/hj/lUNSUlJw\nOd0m8XUuV5MynM0olHq4kDMLifxLp9Wg3SruqcUAQyuo+PLkY6mCC5C261JCcLnazuAi8o1ep4HF\nyk4rKIm5F8vb5Z4A5QaXK/4KLk+GCxlcRN7TaTWw2NhpBS21BZcU4eXu3i1Pg8sf17kYXETeCdHr\n0GK2iN6foaVC3qxR6Ow4fwcXIE3XJSa4xE7QAPyz9BODi8hzEUYdGloZWkFPyuWeAhVcvoaXmNUy\nAjlBwxExNyEzuIj+JyJEj/rWdtH7yx5aDQ0NuO+++zBz5kzMmjULu3btQl1dHfLy8pCbm4u8vDzU\n1/f8ICHlBpc/uy5/BJej4UJ7Uk+JZ3ARdQg3qiy0nn/+eUyePBmfffYZPv74Y6SnpyM/Px85OTnY\nsGEDcnJykJ+fL3eZiqWE4Ap012U6Xuz34UJH17mknhLP9QqJgIgQHepazaL3lzW0Ghsb8cMPP+Ca\na64BABiNRkRHR6OgoADz5s0DAMybNw8bN26Us0zFkzu4AM+HCwFpwsvtPhIPF3JmIZG0+oQZUNNk\nhiCIm0GoEcTu6QfFxcV48sknMXToUOzfvx8jR47E448/jilTpmDHjh0AAEEQMGHChK7vz1VYWIi0\nrLGBLlux3H34OfsAFfshbP8B7uhDXuwySz32Ebm6uzNiH1IpZrujULYPbkB86APi7qHzdoINBZ+4\ncPEPRSwsLMShBvHLICnNN6XNWFvSgPdvSEVUyP9+7qwsx/+m9YEqzBGLxYKffvoJTz75JLKzs/Hc\nc8/1GArUaDTQaNT7HySQMuNDXAZXVkKIw+BydJyjbYMT+3QLruh+aT2CK6R/Zo+Q6gwFV+HVGTre\nhpfpeLHb4DKdKHEYXPbbO3+mc8PraFV9j+AqqTb1CBpH24COXxjcBZezY4ncSUlJlbsErw211AAl\nDYhKSkFWv2i3+8s6PJicnIzk5GRkZ2cDAGbOnImffvoJcXFxqKqqAgBUVVUhNjZWzjJVRalDha62\nd9tHxmtd9qSeoMGhQqKe+kYYAQCnGtpE7S9raCUkJCA5ORlHjhwBAGzbtg3p6emYOnUq1qxZAwBY\ns2YNpk2bJmeZQccfwSXFBI2ufSSYYejNDcnOFt09lycTNBxhcBF1F9cZWvUqCC0AePLJJ/HQQw9h\n7ty5KC4uxl133YWFCxdiy5YtyM3NxdatW7Fw4UK5y1QVb1fNcHasmOACPJugIWaShq/chZfYrkvs\nBA17vgQXUW/RJ9wADYCTIkNL1okYvuJEDNfE/MYu9eQMQPwEDVfbu173cYLGuVwFodiu0D6Y7cNb\nyskZvL7Ve3k6EcMck+a/YgLgV28XIndEMpZcM8btvrJ3WuQ//ui47Lf70nG52t71usQrxrt6uKR9\ngHpznUvKjovDhNRb9I0w4kR9q6h9GVpBTurgcrRdTcEFuA8v++/FXOc6F4OLyDOx4Ub1XNMi/wtU\ncImdWejtBA2piQ0uR9sYXETSiYsMEX1Ni6HVSwQiuABxMwsBeVaKd8RZ1yVmuJDBRSSNuAgjmkwW\nNLa5X4OQodWL+BpcgZpZ6Iw/HyzpKrxcfc/gIvJdrAfT3hlavYwvweXs+GAJLsDxkGEgg8sdBhcF\no7jIjtASM0TI0OqF1B5cnugc5rP/cnmMjMHFe7ioN+q8wfikiBmEokKrqakJZWVlPbbv37/fw9JI\nKdQcXGK7LVfh5C68HA0X+iO4HOEwIfU2fcON0AA4USdBp7V+/XrMnDkT9957L+bMmYOioqKu1x59\n9FGfCiV5+Su4fJlZKGablMSEl/3+rr73NLh4fYsI0Ou0iAzR40yz++dquQ2tZcuWYfXq1fj444/x\nwgsv4OGHH8YXX3wBAKKff0LKJTa4/DWz0J7Y4BKzorsnXIUXg4vI/yJCdGiQYvagzWZDYmIiAGDM\nmDFYuXIlli5dipUrV/KRIUFC7HJBcgZXoPgruNxhcFFvF27Uo75FgtCKiIjodj0rMTERK1euREFB\nAQ4ePOhblaQYSg8uT7stX4LPH8HlzxmFRMEgIkSP+lYJQuupp57qMQwYGRmJ5cuXY/Hixd5XSIrj\n7F4se/64l8sfweULpyvAexhc5/LXjEKGHQWDiBAd6qQIreHDhyM1tedTMQ0GA6644oqu76+//noP\nSySlkmtmoaPgshfooUNfgytQU+EZXKR2Bp0WZovN7X6S3adlMvEfTTBRSnAF4qGR7sgRXI4wuIgk\nDC1Oygg+Sg0uscOEUnZl3gTXuTijkEgaXBGDXFJTcPmbmOBytb9UMwqJejPJQov3bAUvtQSXv7st\nMQIxo5DdFgUrAe5zRLLQevHFF6U6FSmQUoMr0DijkMg/TBYbwo16t/u5Da3zzjsP48aN6/HVub3T\nsGHDfKuYFM8fq2eIvT/MGTm6LU7MIJJeU5sFMWEGt/tpBBWP6xUWFiIta6zcZfQ6vn6oiukm7D/I\n7T/o3XUzYlZq95WYCSHn7mO/v30Xad9l2ge6s4B31eG6Oo6UKy5cJ3rfwsJCmGPS/FdMgPx+VREy\nk6Pwj1vOd7mfx8ODNTU1OHHiRNcX9T7+WD3D0SK755Li+pbcuNQTkXNNJgv6hrvvtESHVkFBAXJz\nczFt2jTcfPPNmDp1Ku644w6fiiT1UmJwuaO0YUJ7fHgk9VaCIHQMD4Yb3e4rOrReffVVvPfee0hL\nS8OXX36JFStWIDs726dCSd2kWPbJ3TZPVs3oLde3+PBICjaNJgvMVhuSo0Pd7is6tPR6Pfr27Qub\nzQabzYaLLroIe/fu9alQCg5yBpcapsED0t547GwbhwlJraoaOh7+mBIb7nZf0aEVHR2N5uZmTJgw\nAQ899BCee+45hIe7fwPqHQIdXOeSO7g8venY0TGcUUi9WWVDx/+XqXEShtbrr7+O0NBQPProo5g8\neTJSUlKwdOlS76ukoCN1cNk7N7jUcOMxHx5JJE7l2U5rkJSdVnh4OHQ6HfR6Pa666irccsst6Nu3\nr/dVUlCSMrjcnUtJwSV2Or2vD49kcFEwqmo0ITEqBKEG91P9RYfWhg0bkJubi/Hjxzu8uZiok6+r\nZ7g6l68zCgPdcYm5X8yTGYWOMLhI7Y7XtmBoYqSofUWH1ksvvYSlS5eisLAQO3fuxK5du7Bz506v\nizyX1WrFvHnzcOeddwIA6urqkJeXh9zcXOTl5aG+3v0/XFIWb4NL6qnwgVwRXuwTj92RamIGwOAi\n5bMJAsprW5GZHCVqf9GhFRcXh/T0dK8Lc2XlypXdzp2fn4+cnBxs2LABOTk5yM/P98v7kn95uxKD\nnMHlr67L39e3nG0DGFykbFUNJpgsNgyXOrRGjRqF+++/H2vXrsWGDRu6vnx16tQpbNq0Cddcc03X\ntoKCAsybNw8AMG/ePGzcuNHn9yF5uAuuQN18LDa4nO3rD4EMLncYXCSX8jMtAIDM5GhR+7tfUves\n5uZmhIWFYcuWLd225+bmelBeT4sXL8bvfvc7NDc3d22rqalBYmIiACAhIQE1NTU+vQfJKzM+xOWH\nYlZCiMNuwNFx9tsGJ/bp9mEe3S/N6WSGkP6ZPYIhZECWw+E7R/uKYTpR4jT0TMeLewSl/f723zec\nLO0Wxker6ruFdUm1qUeYO9pWfNok+joiqU9Z2TG5S/DanqON0AAQao+juOlk1/asLMe/VIoOrRde\neMHn4ux99dVXiI2NxahRo/Ddd9853Eej0fCpyEFAruCyDx9PgwuQdqFdJQeXo2NIHVJSUuUuwWsN\nBw5gUGw4zhszUtT+okPrueee67EtMjISo0aNwuWXXy6+wnPs3LkTX375JTZv3gyTyYSmpiY89NBD\niIuLQ1VVFRITE1FVVYXY2Fivzk/KImdwAf8LH0dh5Cy4nO3vbwwu6i3Ka1swqr/zxQPsib6mZTKZ\nUFxcjNTUVKSmpqKkpASVlZX48MMP8fzzz3tV7IMPPojNmzfjyy+/xJ///GdcdNFF+NOf/oSpU6di\nzZo1AIA1a9Zg2rRpXp2flEcp17gcfj8gy+Xq8GInargLN7GPTeGqGRTszBYbTtW3iZ45CHgQWiUl\nJVi5ciUWLFiABQsW4N///jeOHDmC1157rcd1Ll8tXLgQW7ZsQW5uLrZu3YqFCxdKen5SNjmDC3D/\nWBN34SUq2AIUXJxRSEp2sr4VNgEYluSH0Kqvr0dLS0vX962trairq4NOp4PR6H45eXcuvPBCLFu2\nDADQt29fvPHGG9iwYQNWrFiBmJgYn89PyiH3yvBSBFfncfYzFD2ZeeivB1UyuEgtKmpbAQAZSeJu\nLAY8CK3bb78dV155JR599FE88sgjmDdvHm6//Xa0tLQgJyfH82qpVwuW4Oo81ttp8t6smOGu23KE\nwUVKdLyuFTqNBoPjI0QfoxEEQRC7c1VVFYqKigAAo0ePRlJSkudVSqiwsBBpWWNlrYF8I+ZD0dkH\nq5j7lOw/0O0/8MUuqeTpqhaeErNKh/339kFsH9Riwr2Tu+nwnJwRWHHh7tfg61RYWAhzTJr/ivGj\nP39RgpomM7586FLRx7jttA4fPgwA2LdvH06fPo1+/fqhX79+qK6uxr59+7wulghQZsflS9flLX90\nXFw1g5TueF2bR0ODgIjQWrFiBQDgj3/8Y9fXkiVLur6IfKW04HK6LciDyx0GF0mp3WrDqfpWZCSK\nn4QBiAitZ599FgBw4403YunSpXjzzTdx4YUXIioqCr///e+9q5bIjpqCy9/hZS9QweWu23J2HJE3\nTta3wSZ4NgkD8GAixtKlSxEZGYkdO3Zg+/btuPbaa/HUU095WieRU0oILjETNAD/dV3Orp0xuCjY\nVDV2PPgxNU78JAzAg9DS6TouDH799de47rrrcOmll6K9vd2jNyNyR47g8mZmIcDgIvJFTZMZADAg\nJsyj40SHVlJSEhYtWoT169fjkksugdlshs1m86xKIhECHVyAd1PigcAHV4/9ZFo1w5NzETlS3WSC\nUa9FXIRn9/mKDq1XXnkFkyZNwj//+U9ER0ejrq4ODz/8sMeFEokRiOBS+sxCpa+a4epYIneqm0zo\n3ycUWq1nC6KLDq2wsDDk5uYiLS0NAJCYmIhJkyZ59GZEnvB3cAHKn1nobXC5w+AiudU0mTGgr2dD\ng4AHoUUkBwaXd8s9iVk1g8FFcmpssyA+0vOb1hlapHgMLuUv9+TqWCJHmk0W9AkzeHwcQ4tUwdfg\nsj+ewdVBylUzXB1LdC6bIKDJZEEMQ4uCmaPwsedqDT1HwaW21TMYXBQMWsxWCACiGVrUG4gJLqWs\nnuEPDC5Su2aTBQA4PEi9hxJWzxAjkEs+MbhILSzWjoeLhBrEr2bfiaFFqqW04ArkDchyr5oBMLjI\ne9azT8TSeXiPFsDQIpVjcInYj8FFCmM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s3CsoroIgAL+YmCZ3KX4jW2gtWbIEX331FQwG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\nAAAAAElFTkSuQmCC\n",
"text/plain": "<matplotlib.figure.Figure at 0x7fc83d208780>"
},
"metadata": {}
}
]
},
{
"metadata": {
"trusted": true,
"ExecuteTime": {
"start_time": "2017-10-03T03:53:53.366624Z",
"end_time": "2017-10-03T03:53:53.391044Z"
}
},
"cell_type": "code",
"source": "pd.DataFrame(results).T",
"execution_count": 39,
"outputs": [
{
"output_type": "execute_result",
"execution_count": 39,
"data": {
"text/html": "<div>\n<style>\n .dataframe thead tr:only-child th {\n text-align: right;\n }\n\n .dataframe thead th {\n text-align: left;\n }\n\n .dataframe tbody tr th {\n vertical-align: top;\n }\n</style>\n<table border=\"1\" class=\"dataframe\">\n <thead>\n <tr style=\"text-align: right;\">\n <th></th>\n <th>Correlation</th>\n <th>p_val</th>\n </tr>\n </thead>\n <tbody>\n <tr>\n <th>high</th>\n <td>0.891681</td>\n <td>0.000000e+00</td>\n </tr>\n <tr>\n <th>low</th>\n <td>0.263521</td>\n <td>2.390299e-17</td>\n </tr>\n <tr>\n <th>medium</th>\n <td>0.658092</td>\n <td>3.879799e-125</td>\n </tr>\n <tr>\n <th>negative</th>\n <td>-0.971119</td>\n <td>0.000000e+00</td>\n </tr>\n <tr>\n <th>perfect</th>\n <td>1.000000</td>\n <td>0.000000e+00</td>\n </tr>\n <tr>\n <th>zero</th>\n <td>-0.041763</td>\n <td>1.869692e-01</td>\n </tr>\n </tbody>\n</table>\n</div>",
"text/plain": " Correlation p_val\nhigh 0.891681 0.000000e+00\nlow 0.263521 2.390299e-17\nmedium 0.658092 3.879799e-125\nnegative -0.971119 0.000000e+00\nperfect 1.000000 0.000000e+00\nzero -0.041763 1.869692e-01"
},
"metadata": {}
}
]
}
],
"metadata": {
"kernelspec": {
"name": "py36-test",
"display_name": "py36-test",
"language": "python"
},
"varInspector": {
"window_display": false,
"cols": {
"lenName": 16,
"lenType": 16,
"lenVar": 40
},
"kernels_config": {
"python": {
"library": "var_list.py",
"delete_cmd_prefix": "del ",
"delete_cmd_postfix": "",
"varRefreshCmd": "print(var_dic_list())"
},
"r": {
"library": "var_list.r",
"delete_cmd_prefix": "rm(",
"delete_cmd_postfix": ") ",
"varRefreshCmd": "cat(var_dic_list()) "
}
},
"types_to_exclude": [
"module",
"function",
"builtin_function_or_method",
"instance",
"_Feature"
]
},
"language_info": {
"mimetype": "text/x-python",
"nbconvert_exporter": "python",
"name": "python",
"pygments_lexer": "ipython3",
"version": "3.6.2",
"file_extension": ".py",
"codemirror_mode": {
"version": 3,
"name": "ipython"
}
},
"gist": {
"id": "",
"data": {
"description": "Stats - Interpreting Pearson's Correlation Values",
"public": true
}
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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