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@quantshah
Created April 2, 2017 03:15
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Ranksum test for Phosphorylation
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Compute rank test for features"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"import pandas as pd\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"from scipy.stats import ranksums, wilcoxon\n",
"import seaborn as sns\n",
"import os\n",
"import sys\n",
"\n",
"% matplotlib inline"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"# Add the local path to import scripts\n",
"module_path = os.path.abspath(os.path.join('..'))\n",
"if module_path not in sys.path:\n",
" sys.path.append(module_path)"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"from validation.result import Result"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Load the training data"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>uniprot</th>\n",
" <th>sequence</th>\n",
" <th>position</th>\n",
" <th>code</th>\n",
" <th>iupred</th>\n",
" <th>dynamine</th>\n",
" <th>y</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td>O14543</td>\n",
" <td>MVTHSKFPAAGMSRPLDTSLRLKTFSSKSEYQLVVNAVRKLQESGF...</td>\n",
" <td>204</td>\n",
" <td>Y</td>\n",
" <td>0.5854</td>\n",
" <td>0.793</td>\n",
" <td>1</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1</th>\n",
" <td>O14543</td>\n",
" <td>MVTHSKFPAAGMSRPLDTSLRLKTFSSKSEYQLVVNAVRKLQESGF...</td>\n",
" <td>221</td>\n",
" <td>Y</td>\n",
" <td>0.4766</td>\n",
" <td>0.687</td>\n",
" <td>1</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2</th>\n",
" <td>O14543</td>\n",
" <td>MVTHSKFPAAGMSRPLDTSLRLKTFSSKSEYQLVVNAVRKLQESGF...</td>\n",
" <td>1</td>\n",
" <td>M</td>\n",
" <td>0.3426</td>\n",
" <td>0.469</td>\n",
" <td>0</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" uniprot sequence position code \\\n",
"0 O14543 MVTHSKFPAAGMSRPLDTSLRLKTFSSKSEYQLVVNAVRKLQESGF... 204 Y \n",
"1 O14543 MVTHSKFPAAGMSRPLDTSLRLKTFSSKSEYQLVVNAVRKLQESGF... 221 Y \n",
"2 O14543 MVTHSKFPAAGMSRPLDTSLRLKTFSSKSEYQLVVNAVRKLQESGF... 1 M \n",
"\n",
" iupred dynamine y \n",
"0 0.5854 0.793 1 \n",
"1 0.4766 0.687 1 \n",
"2 0.3426 0.469 0 "
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"data = pd.read_csv(\"../data/train.csv\")\n",
"data.head(3)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Get all the positive instances for a particular feature and amino acid for rank test"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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FIUQHhmKqAbaHEjELIX4DvG7+rWH0bD4FnC2l3DKgvs9gKO4jCCEuA7ZKKbeZmzTAZ1q1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\nHZfxS4UAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10f8ec438>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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KdvFc9Us8V/0SkXiEEk8R/znzLE4qX37Mg+OY0TID6LLDaBm732t21GZXXWAf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\nOi9AJfeQq+/1LfOazUoZwzD4YL8br1ejcLEHiyX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cU8Y2IcYHgJUhjOmcqf7eNODH+FaQ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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1101a2e10>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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IkUwkkSehQ11H6Av0UeEpw2YM2XX0GMMwmJuvCBHin/tejH+AQoikIok8CdV1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\n3NPMXX/cwDX/sZDMNLnD7GQQTY38Q0C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Bwb0BzqXO8OTwUySyM7R5Ivxa32PKxBWKW0TT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\nKBSKJkcZuUKhUDQ5/w8yT1yN/KwozAAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1101a6d30>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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IcR9wIjCuIe/pGZ62ktnSYWIXC7G9A4PhMbcH8nKO2TdW29t7hrnnkQMU53t5\n7XEVR44ZT+5oqkp8FOR62PJULa8/oRJ/jnta+u4JPUcoOUSlawUBs5RIOPbKsQNhzqw6nfOWv44H\n6x/mpkdv55LjP4rDOPaDdyFe24nQ7bVX9nhMGloRQnxoRMhkGEha/wDygZ1CiDzLqL8e0LFyje38\n4V8HiCdMLnjdGrzu6X/ROZ0O3njKMsLRBA+/NLU8n4fCOzgU3sG+0Fb2hJ7HiYtyd/W4x5+/6k1s\nKBHs7pb8s/7Raeuo0cyUqcxd/jNwohDiMeAB4D+BdwohLrY88WuBh4HHgV1Syi1p01azKNlV181L\n+ztZu7SAU9aVzVjOOSdU4fM6+ccLTcTiiSmXa4s1kCBOhXs5TmP8j1iH4eAjG95HwJPHlrp/0D7c\nOWNdNZrpMGloRUo5BFwwwf5fA7+2UymNJkUimeT3/9yPAbz/3JpZTbX357g454Qq/v5sA0/ubOWc\nE6omLRMzo7THm3AbHspcSyc9Ptft5z1r38Edu+7i9/LPfO6ET+jlATRpR68mpMlo/vViM82dQ5x1\nfCXLK2bfifTGU5bhchrc/2wDyeTkc9O64odJkqDCtRyHMbWQzkllr2JTyTpkzwGea906W5U1mknR\nMxg0GUdqMk7fYJS/PVWH1+2kvNg/7iSd6VCY5+WMTRU8tv0wW/d1cPIEoRrTNOmKt2LgoNg19WVG\nDcPggpp3su+57/HnA3/jVcGN+FxTG12j0cwE7ZFrMpJk0uTJHYdJJE1O31iOz2ufz/GmU6sxgL8/\nW89ES1QMJwcIm0MUOktxGROPchlNia+INy1/HYOxIR6sf3iWGms0E6M9ck1G8tL+Djr7wqysDNgS\nUhlJZUkuJ9YE2bqvg70NvaxfXjTmcV2JwwCUTMMbH8nrl53FPxse5aGGR8lxesl1+wn05xwZrqjR\n2IU25JqMY39TL7tqe8j3uzltQ3qmvL/l9Gq27uvg78/Uj2nIE2ac7ngbLjzkO4onlTfeYlrHl27k\nmdYXeblzF6+uPGXWems0Y6FDK5qMoql9kGd2teFxO3j95qV4ZjBmfCqsXlKAWFbIztpuDrX0H7P/\ncKyOBHFKXOUYY0zsmSor8qsp8hZQ199Id7hnNiprNOOiDbkmY6hvHeDhl5pxGAavO7GK/Nz0rj73\njjNXAvCXJw4ds68hsheAElflMfumg2EYHB/cBMDOzj2zkqXRjIc25JqMQDb08Ni2FpwOg3NPXkr5\nFJebnQ1ExtVrAAAgAElEQVTrlhexrrqQnYe6OdDUd2R7NBGlNVZPjuHH58ibdT0V/jJKfSU0D7XS\nMXTs2jIazWzRhlwzr5imyQt723l2dztej5PzTlk2J0Y8xb+ftQqAex4/dGQEy97u/SSIU+gM2lKH\nYRgcV6KWz32xZYctMjWakWhDrpk3kqbJv15sZHddD/m5Ht5yejWlhb451aFmWSGbVhWzp76H7QeV\nt7y9cxcAhc5S2+op9wcJ+kpo6GuhK9Rtm1yNBrQh18wTSdPk8e2H2VvXQ0lBDm8+rZqAf34ysqzd\nOIxhwC8f3MHD9U+ytf1l3IYHvyPftjoMw+C40g0A7Oraa5tcjQa0IdfMEy/t66S+dYDK0lzeeMpS\ncjzpGZ0yFYoKHayrcdHfb7J1XwfRRJQCZ6nta6SU+Uopy1Wx8rahdltlaxY32pBr5pxDLX3squ0m\n3+/mrWeswDODRCN2c+LxbjweONDVAmBbfHwkhmHwqnIVK3+o8XHb5WsWL9qQa+aUwVCMZ3a14XY5\neN1JS8nxZMactByvwcknuiG/DSPpIuAYe7bnbFlRtJRct5/nWl9kIDqYljo0iw9tyDVzyvN72okn\nTE5dX0ZBXmZlKS+vHsKREyLWU0pPV3q+EhyGg3VFa4kl4zzW/HRa6tAsPrQh18wZje2DNLYPUl7k\nY9US+zoS7aJ5UK2tYvaVcWi/i0Q8PfWsLFiOz+XjsaaniCXTVIlmUaENuWZOSFrjxQ0DTttYnpHJ\nFpoHD+PAYF1lJZGIQX1derxyt8PFGUtOYTA2xPaOnWmpQ7O40IZcMyc0tA0yMBxjTVUBhXne+Vbn\nGIZiw3RHeinzBzlpk58cn0lLk4PBgfS8cF5TeSoAT7U8lxb5msXFpD1NQggncDsgABP4lJRy54j9\n5wPXA3HgDinl7WnSVZOlmKbJrkNqss3GlZOvJDgfpMIqS/OW4HIZrKmJs3O7m/3SyQknxZnFullj\nUp5bxprClcieA3QMdxH0l9hbgWZRMZXb83wAKeVrgC8D30jtEEK4gZuB84CzgYuFEOlZd1STteyu\n76GrP0J1eV7aF8KaKU2DathhVZ5aJKuwyCRYnmBo0EFLc3o+XF+z5DQAnjqsvXLN7Jj0DpVS/gW4\n2Pq5HOgdsXs9cEBK2SOljAJPAK+1XUtNVvOP5xsB2LQqM73xaCJK+3AnxTlF+N2vLBGwanUCl8uk\nvtZJOGx/vScEj8Pn8vHM4RdIJBP2V6BZNEzJ1ZBSxoUQdwI/BO4asSsf6BvxewAosE89TbbTOxhh\nx6EuSgpyKC2Y23VUpkrLUCsmJkvzjl6y1u2BFasTJJMGDbX2d3x6nG5OrTiR/ugAO/W0fc0smPJs\nDCnlhUKIq4BnhRAbpJRDQD8wMg9XgKM99mMoKvLjmsFMvmDQ3nRfmc5Cae/jO9swTdi4soRA3tgJ\niMfbbjfjndPDW1sBEOUrCfiULt4claOzegUcbjbpaHewusaBP/fY8oHA9PQPBHKO6PIW59k82vQU\nO3p3cu6GhZn+baHcy1NlPto7lc7ODwFLpZTfBIaBpPUPYA+wVghRDAyiwio3TSSvp2d42koGgwE6\nOgamXS5bWSjtNU2TB5+tw+kwqCj2MTB4bHwikJcz5vZ0MNY5DcfDNPS1kO8J4Ip7GRhQukTCsSPH\nLK12IHe7OLgvQc36Y0MgqTJTIRBQOTtTuuSZhZT5Snmx+WWaWrvwOjOzD2GmLJR7eaqks70TvSCm\n4pH/GfiFEOIxwA38J/BOIUSelPKnQogvAA+gwjR3SCmbbdBZswBoaBukuWOIzTXBeV0UK8Uj2469\nNRsikqSZJDdZwr7GsT8mS4NJGnOTtLc5WLY8gc+G5dJH5vgM+ktoD3Vy976/8oH17569cM2iY1JD\nboVQLphg/73AvXYqpVkYPL1LhSzO2FRB33B0nrUZm6bofgCKXGXjHmMYsGx5ErnbRUuzk9Vr7e2Y\nrA4sZVeXpGGgcdwkzmdWLcywi8Ye9IQgTVowTbUkrM/r5LjVmTlGOm5GORyrm1JKt5LSJB6PSXur\ng4TNA0wKvQUUePJpGWojlohNXkCjGYU25Jq00Ng+SGdfmFetLsXlzMzb7HC0jiQJipzje+MpHA4o\nr0ySSBh0tNvfnupAFUkzSZM1MUmjmQ6Z+YRpsp6X9ncCcOJa+9Kl2c1UwiojqahMACatLWkw5PlL\nAWgYaLJdtmbhow25Ji28tK8Dp8PguFWZGVaJJsO0xGoJOIrIMcYYUzgG3hwoLjEZHLB/DZZ8T4BC\nbwGtw+3E9YqImmmiDbnGdjp7QzS0D7J+RRE+b2YkjhhNfXQvSRKs9G6c1kqM5ZUqQJ6O8MqS3AqS\nZpLWYZ0GTjM9tCHX2M5LB1RY5aS19qdLswPTNDkU2YmBgxXe9dMqW1Rk4nSadLY7ME179VqSVwFA\ny2CrvYI1Cx5tyDW2s/NQNwCvytDRKt2JVvoTXVR5VuN1TG9QuMMJxaVJIhHD9vBKSU4xHqdHLRlg\n91tCs6DRhlxjK7F4AtnQQ1VpLsX5czP1frocCqtVmFd5N86ofGlQTWzu7LD38XEYBktyywnFw/RE\n+iYvoNFYaEOusZX9TX1E48mMXXc8ZkZojO7D78inzFU9IxlFxWkMr+SqhbtahnR4RTN1tCHX2MrO\nWhVWyVRDfii8kwRxVk2zk3MkDscr4ZWhQXvDK5W5ZRgYtOjx5JppkJlDCjRZy67ablxOBzXLCudN\nh0PhHWNur/YK9oZfxG14WO09flZ1FJeYdLRBd5e9htzj9FDqK6Ej1Ek4HibHlZnhKU1moT1yjW30\nDUZobB+kZlkBXvf8L5I1mgPhl4maIdZ6T8TjmF3e0MKiJGDS052OYYgqyVbrcIftsjULE23INbax\nu64HyMywSsKMI8NbcRse1uacOGt5bjcE8k0G+g0iEXsD5eW5aqZpuzbkmimiDbnGNmSjMuQblmee\nIW+PNylvPGf23niKouIkYNB82N5VtIq8hbgdbj0xSDNltCHX2IZs7CPH42RZ2cQrCc41kWSI1lgd\nHiOHtd7Ze+MpioqVJ97cYq8hdxgG5f5ShmLDDEaHbJWtWZhoQ66xhb6hKG3dw6xZWoDDYW8H4Gww\nTdOajp/kBP/ZtnnjAHkBE7fbpKklafsEnnK/Cq+0hXR4RTM52pBrbGG/lV2nZun8jVYZi+5EKwPJ\nHvIdJVR7hK2yDUN1eoZCJr19dhtytbxB25A25JrJ0YZcYwupNGnzOexwNNFkhMbofhw4qfbUzHjc\n+EQUFCoD3tpmb3gl3xMgx+mlfbhDT9fXTMqE48iFEG7gDmAF4AVulFL+dcT+zwMXASm34ZNSSpke\nVTWZzL7GXlxOBysr8+dbFUCFVGqju0gQp9pdg9fhS0s9BYVquv7htiTrbXT4DcOg3B+kfqCJ/uji\nSV6smRmTTQj6INAlpfyQEKIY2Ab8dcT+zcCHpZQvpktBTeaSSmYcjSVoaB+kvMjHkzszY0bi4Xgd\ng8leCp1BSl1Vaasnxwd+v0FrawLTNG31+lOGvE0PQ9RMwmShlT8B11l/G8DoFe83A9cIIZ4QQlxj\nt3Ka7KC9NwRAWbEN6eVtYCDRw+FYLR7Dy3LPurSEVFIYBlSWOwhHSEOcXI8n10yNCQ25lHJQSjkg\nhAgAdwNfHnXI74FPAa8HzhRCvC09amoymbZuZcjLi9ITvpgOkWSI2uhuwGClZyMuw532OivK1SxW\nu+PkuW4/PmcOHaEuHSfXTMika60IIZYB9wA/llL+dsR2A/iBlLLP+n0fcCLwt4nkFRX5cbmmP307\nGAxMu0w2kw3tDeSpdUC6+sMYBqysKsQzg6n5KTmzxTRNnum8j5gZodq3lhLf0YktxqvHy+yM/dIq\nH08+E6WzyyAQmLwtUzkmRWV+GYd6GjD9EcryMjNRx2Rkw71sJ/PR3sk6O8uBB4HPSikfGrU7H9gp\nhFgPDKG88jsmq7CnZ3jaSgaDATo6Fk+HT7a0d2AwTDyRpL17mOL8HCKRGJFIbFoyAnk5DAyGbdFn\nf3gbjaEDBBxFlLKUSPhoXQYYu57Rx00XhxHF7zdobI7S3x+aMJQTCOQwMDD19ha6C4EGnj+0i9Mq\nN89Kz/kgW+5lu0hneyd6QUzmkV8LFAHXCSFSsfLbgVwp5U+FENcCDwMR4CEp5RYb9NVkEZ29YZLm\n/IdVBhO9vDz8BF7Dx0rvhjGN6XirIs4WwzAoDzqorU8wMGCSn29fTD7oU1mWDvbVZaUh18wNExpy\nKeVlwGUT7P818Gu7ldJkD23WF1bZPBpy0zTZOvQwSRKc4D+buBmdcx3KLEPe3pkkP9++6RmF3gJc\nhpODfXW2ydQsPPSEIM2saOuxRqwUzd+IlcaopC3eQIV7Ocs8NfOiQ1lQPUrtHUlb5ToMByW+YlqH\n2hiKTT8sqVkc6MQSmhmTTJp09oYozPOQ40nf+uPjhURW5RxHNBlm2/BjOHFxkv91aR1qOBHFRQ6c\nTmjvsHfkCqjwSttwB4f66jiudIPt8jXZjzbkmhnT1R8mnjDn1RvfG36BiBniON8Z5DoL5k0Pp9Og\ntMRBe0eSWMzE7bbvhVJqxckfbXqKvkj/ke1nVp1uWx2a7EaHVjQzJhVWma+OzlByiAPh7fiMPFuS\nRcyWslKVjLmj097wSqmvGAPoDHXZKlezcNCGXDNj2rutjs7i+THke0LPkiDOBt9pOI35/7gMpuLk\nNhtyt8NNobeArnAPiaT9oRtN9qMNuWZGJE2T9t4QeT43uTnpnz05mkhymEORXeQ5ClnhzYy4cVlQ\n9RN0pCFOXuorIWkm6Y302S5bk/1oQ66ZES0dQ0RjyXkLq7TE6jBJssn3ahxGZtzGfp9BXp5Be4f9\niSZKclT6vM5wt61yNQuDzHgCNFmHtNYfn4+FsqLJMN2JNvKdxSz1rJ3z+ieirNRBJAr9/fYa8lKf\nMuRdIW3INceiDblmRqQSScyHR94WbwRMRM7meRtuOB5laYqT57lz8Tg82iPXjIk25JppY5om+5p6\n8XmdBPxzGx+PmzE64y24Da/tqdvsIBUnt3tikGEYlPqKGIoNE47bszaNZuEw/139mqyjvTdE32CU\n5RWBOfeIO+JNJEmwxLWSusjuOa17KhQXGWmbGFSSU0zLUBtd4R6q8iptl6/JXrRHrpk28xVWSZoJ\n2mNNOHFR6loyp3VPFYfDIFjqoKfXJBq1ucPTipN36ji5ZhTakGumzRFDPsfjx7sT7cSJUepakhHj\nxsejrFQ9VnZPDEqNXOnScXLNKLQh10ybfY29+L0uCvO8c1anaZq0xxoBKHMtnbN6Z0K6Ojw9Tjf5\nngBdoR6SOmOQZgTakGumRc9AhI7eMGuXFsxpfHwo2UfIHKTQGcTjsCejULoIHunwTE+cPG7G6Y/2\nT36wZtGgDblmWqTCKjXVhXNab3u8Cch8bxzAl2MQCBh0dNo/MahUx8k1Y6ANuWZa7GuyDPnSuTPk\n0WSYnkQHPiOPPMfcvkBmSlmpg2gU+myeGKTj5Jqx0IZcMy32NfbicTtYXjF3CWY74s2ASZl7acZN\nABqP1AJadnd4FnjzcRlOukI9tsrVZDfakGumzGAoRnPHEKuXFOByzs2tkzDjdMZbcOKi2Fk+J3Xa\nQVlpeiYGOQyDYl8xfdF+QvGQrbI12cuEY7iEEG7gDmAF4AVulFL+dcT+84HrgThwh5Ty9vSpqplv\n9qfCKsvmLrzRGN1HnBjlrmocRvqyENlNamJQR2c6OjyLaB/uoL6/iXXFmbXWjGZ+mMyt+iDQJaU8\nC3gz8KPUDsvI3wycB5wNXCyEyB6XSTNtjnR0zpEhN02T/eFtAARdVXNSp104HCpjUE+vSSxmc4en\nFSev7WuwVa4me5nMkP8JuM7620B53inWAweklD1SyijwBPBa+1XUZAr7GvtwOgxWLcmfk/q64ofp\nTXRQ6AzidczPcrmzIWhlDOrssnlikDVypa6/3la5muxlwtCKlHIQQAgRAO4Gvjxidz4wcpX7AWDS\npIlFRX5crul/IgeDc9e5lglkWntDkTj1bQPULCtk6RLlkQfy7BnPPZ6cFzpV0uUq/wq87rlPXjFV\nAoGx9a9e5mDn7kH6BhzUrM2Z9Pgp10cOAU8u9QONlJbmZXwHcKbdy+lmPto76TxnIcQy4B7gx1LK\n347Y1Q+M1DgA9E4mr6dneLo6EgwG6OgYmHa5bCUT27urtptk0mRl5Su6DQzOfhW+QF7OmHKGEv3U\nDUsKnKV443lEErFZ15UuBgbGPg/5ecoTb2qKsm6tMraBQM64x0+HIm8RDQNN7GmoJ+gvmbW8dJGJ\n93I6SWd7J3pBTBhasWLeDwJXSSnvGLV7D7BWCFEshPCgwipPz1JXTYZyJD4+R+PH94dfwsSkJuek\njPc4x8Pvd5DrN2jvTKRtYlCtDq9omDxGfi1QBFwnhHjE+vcBIcTFUsoY8AXgAZQBv0NK2ZxmfTXz\nxL7GXgxg7dJJo2ezJpoMcyiyixwjl2pPTdrrSyfBoINwGAYH0zMxqK5fd3hqJo+RXwZcNsH+e4F7\n7VZKk1nE4kkOtvSzrCwP/xwkWj4U2UmCGBtyTs2qIYdjUVbqoK4+QXtnkkDAvrH3Rd4CXIZTj1zR\nAHpCkGYK1LX2E08kWTsHww6TZoL94W24cLPKe1za60s3wTQtaet0OFkaqKJpsIVoBvcfaOaGzF3U\nWZMxpOLjYg4MeV1kD2FziLXeE/E45m6Z3NmQOj9jkUyAYbhpaI5SXDHM5g0VttW7Mr+auv4GGgea\nWV24wja5muxDe+SaSdnXqEaZptsjT5oJ9oSfw4ET4TsprXXNFQ4n5OaZDA0aJG2e5LmioBrQHZ4a\nbcg1k5BMmuxv6qW82E9BrietddVFdjOcHGC19zh8jry01jWXBPJNTNNgcNDe0Tcr85Uhr+tvtFWu\nJvvQhlwzIY3tg4SjCcSy9I5WUd7485Y3fnJa65pr8vPViJWBfnsNeXFOEQFPHnW6w3PRow25ZkJS\n8d+1aR4/XnuUN56b1rrmmkC+6ui025AbhsGK/Gp6Ir30RvomL6BZsOjOTs1RPLLt6KkAT+48DKgU\nb6P32UXMjLAr9DROXKxbYN44gDcH3G6TgX77/aaV+dXs6NxNXV8DJ5Rl/ygfzczQHrlmXEzTpK07\nhD/HRa4vfe/83aHniJgh1vtOIWeBeeMAhqHi5JGIweCgvcMQVx7p8NThlcWMNuSacekbjBKJJago\n9qdtmnxfrJv94W34HfnU5CyMkSpjkQqvtLbFJzlyelQHlmJg6IlBixwdWtGMS2u3WuCsvDh9S8g+\n2/MQJkmO959FfWRP2uqZbwJWh2drW5zyMvv8pxxXDkvyKmgYaCKRTOB0ZPdMWM3M0B65ZlzaLENe\nUexPi/zD0Vqawococy2lyr06LXVkCoGACZgcttkjB1iRX00sGaN58LDtsjXZgTbkmjExTZO2HhUf\nz/PZv75K0kywbfgxDAxO8J+dtSscThWnC3JzTdo74iST9i6gtapgOQAH++pslavJHrQh14xJ31CU\ncDRBeZEvLUZ2f3g7g8le1uWdSIGr1Hb5mUgg3yQeh+4eew35msKVABzorbVVriZ70IZcMyataQyr\nhJND7A4/i8fI4aSCM22Xn6mk4uTtHfbO1S/JKabAk8/B3lrb1z3XZAe6s1MzJm3dIQDKZ2nID4V3\nHLOtLrKHuBllmbuG2pAkEl4cq/flF6iRK23tSTass0+uYRisKVzJi+3baQ91Uu4P2idckxVoj1xz\nDGr8+DA+r4uA3974+FCyn67EYXxGLkHXEltlZzo5PvD7DNrak7Z7zqut8MrB3jpb5WqyA23INceQ\nio9XFNsbHzdNk8bofgCWeWowjMV1+xkGLKl0MRwybc8YtOaIIddx8sXI4nqSNFPCrrDKaHoSbQwl\n+yh0Bgk4i2yVnS0sqVRfOK3t9s7wrMwtx+fycaBPG/LFyJRi5EKI04BvSynPGbX988BFQIe16ZNS\nSmmrhpo5Jx3jx5NmgqbYQQwcLHWvsU1utlG1RD1ybe0J1q62r4vKYThYXbCcnV176Yv0U+DNt022\nJvOZ9E4SQnwR+BAwNMbuzcCHpZQv2q2YZn5Q48eH8XmdtsbH2+KNxMwIFa7leB3pmyma6ZSWOHG7\nVYen3awuXMnOrr0c6K1lc/nxtsvXZC5TCa0cBN41zr7NwDVCiCeEENfYp5ZmvugfihGKJCgvsm99\nlZgZpTVWjws3Fe7ltsjMVhwOg7JSB339JqGwzR2eBXo8+WJlUo9cSvm/QogV4+z+PXAr0A/cI4R4\nm5TybxPJKyry43JNfz2IYDAw7TLZzHy1t3dYDQVcvqSAQF7OrOV5cdM0tJ8kCVb4a/DnHOuNe3Ps\nnzmayVQv89J8OER/v5Oy4MyzLo2+R4qK1+Pd7uHQQG1GPS+ZpMtcMB/tnXGQTghhAD+QUvZZv+8D\nTgQmNOQ9PcPTrisYDNDRMTATNbOS+Wxv/WGVoKDQ72ZgMDxreb3DvbRFGskx/BSa5ceMGffmuBfN\nOPIURYUqrFJbF6a8bOYhlrHukVUFK9jTvY8DTc0ZESfXz669ssdjNqNW8oGdQog8y6i/HtCx8iwm\nNX48x+MkP9ceL7k5egCAKveaRTfccDyCpQ6cTjjcZnM2ZkAUqY7kfT0HbZetyVym/WQJId4vhLjY\n8sSvBR4GHgd2SSm32K2gZu5o6wkRiti3/nhbrIG+ZBcBRyEFzhIbNFwYOJ0G5UEHPb32x8lThlz2\nHLBVriazmVJoRUpZB5xu/f3bEdt/Dfw6LZpp5hzZ0APYs/64aSZ5efgJAJZ61i741Q2nS2WFk5bW\nJK1tCVYun1mE84nmZ47ZljRN/C4f+7QhX1Tob13NEWSDSrRsx0Sg+uheehMdFDsr8DsWV2fXVKis\nUI/e4VZ7hyE6DIO1RavpCvfQGeqyVbYmc9GLZmkAFR/f29BDjsdJQe7MR1IAxM0YO4efxoGTKvcq\nmzRcGOw81EUkHCOZBIfDTX1TjNIlYw8AqFlWOKM6RNEatnfsRPYcoNSnQ1qLAe2RawBo7w3ROxil\n3Ib4+L7wS4TMQWpyTsLjmP0QxoWIwwEFhSahYYNoxF7ZokhlW5LdOryyWNCGXAOMDKvMLj4eTg6x\nN/QCXsPHOt9mO1RbsBRYwxB7e+19DMv9ZRR4AuzrOUjStH8GqSbz0IZcA8CeetXROdv1VXaFniFB\njI2+03EbXjtUW7AUFqkRK73d9nYEG4aBKF7LQGyQ5sFWW2VrMhNtyDWYpsme+h4K8jyzio/3xjs4\nFNlFwFHESu8mGzVcmOTmmbjdJr09DuxO7LOhWACwp1uvYbcY0IZcQ0vnEP1DUdYvL5pxfNw0TbYN\nPwqYnOB/LQ49+WdSDAMKi5JEowbDQ/Z65euK12JgsLtLG/LFgH7aNOy2wirrq2e+RnhTdD8d8WaW\nuFdR4Vlhk2YLn8JiK7zSY68hD3jyWBao4mBfHeH47Jda0GQ22pBr2Jsy5CtmZsjjZoztocdx4OR4\n/1l2qrbgKSxSnZE93fY/ihtKBEkzidTT9Rc8ehz5IieRTLK3oZdgYQ6lBTMbsbI79Cyh5CAVruW0\nxxppjzXarOXCxesFf26S/j6DZAIc018Y9BhSMz7jiTgA/2p8jIHoAGdWnT574ZqMRHvki5yGtkFC\nkTjrlxfPqHxPvJ194a14jBwq3CvsVW6RUFRkkkwa9PXZG14p8RXhdrg5PNRme7JnTWahDfkiZ3dd\nNwDrl08/rJI0k7ww9E9MTJZ71uE0bHAnFyFFJSq80t1l7+PoMBxU+IMMxYYZiA3aKluTWWhDvshJ\njR9fNwNDvi+8ld5EBys868l3zsyj10B+gYnTadLdZf8wxMrccgAOD7XZK1iTUWhDvoiJxZPsb+qj\nKpg77fHjXfFWdoaexmv4eJXu4JwVDgcUFSeJhA2Gh+0Nr1TmVQDQPHjYVrmazEIb8kXMweY+YvHk\ntMMq0WSYZwa3YJLktLw3L+pkynZRXKJc8Z4uew253+WjOKeQ9uFOQvGQrbI1mYM25IuYVFhlOobc\nNE2eG3qQ4eQAG3ynUe6uTpd6i4qi4iRg2h4nB6jKrcTEZHfXPttlazIDbcgXMXvqezAMEMumbsif\nHryPw7FaAo4icvBzKLyDQ+EdadRyceD2QH6+SX+fQTRqr+wleZUA7Ojcba9gTcagDfkiJRSJU3u4\nn5WV+fhzpjadoCPWTHPsEG7Dw0rvRp31x2aKg0nAoLvT3seyyFuA3+VjV9deEkn784Rq5p8p3TFC\niNOEEI+Msf18IcTzQoinhRCfsF07TdrY19hLImlOOawSTg7zzODfAVjl2YTbmF3yCc2xlJaqYYhd\nNhtywzBYklvBcDzEob56W2VrMoNJ7xghxBeBnwE5o7a7gZuB84CzgYuFEOXpUFJjPztr1fjxjSsm\nHzZomkmeHbyfsDlElXsVec6ZZa7RTEyOD3LzkvT2GMRj9squSoVXunR4ZSEylVf/QeBdY2xfDxyQ\nUvZIKaPAE8Br7VROkz52HurC63GyZmnBpMfuDj1He7yRSvdKyl26czOdlAaTmKZhe6dnuT+Ix+Fm\nZ+ceW+VqMoNJg6NSyv8VQqwYY1c+0Dfi9wAwqVUoKvLjck1/BmAwuLgS+NrZ3vufrjvqd/9QhLae\nECsq89le23PUvkDe0anZmkO17A4/S54zn9eXnU9tyP5lUb05bttlZjITtbeyCuproafbSSBgb5q8\n4ys38HzzdmI5wywJzN3Hs352089sFs3qB0ZqHAB6JyvU0zN2otmJCAYDdHQMTLtctmJ3ewcGj17G\ndJ+V1q2sKOeYfSkOhXcQTUbYE34OA4Olrhr29uy0TacU3hw3kbDNcYQMZrL2ulzg97vo7DDo6grh\n8djXoVwTqOF5tvPovuc5t/ps2+ROhH527ZU9HrMx5HuAtUKIYmAQFVa5aRbyNHNES+cQAFWlueMe\nY7PcP+IAABU+SURBVJpJaqM7iRNjmbuGXGf+XKm36CktS9JQ56K+McHa1fYtUDoUU9f9yeZnyXG+\nkoZPr4qY/Uw7ECeEeL8Q4mIpZQz4AvAA8DRwh5Sy2W4FNfaSTJq0dg0T8LsJ+McfedIcO8Rgso8i\nZxlBV9UcaqgpK1ejVw4eitsq1+fKoSSniI5QF9GEzYPVNfPKlF73Uso64HTr79+O2H4vcG9aNNOk\nhY7eELFEklWl43vYh6N1tMUb8Bo+lnvW6fHic0yODwL5SQ63wfCwid9v3/mvyqukK9xDy1AbK/KX\n2SZXM7/oCUGLjFRYZck4YZVIcpjnh/6BgcEq7yachs49Mh8Ey5OYJhyqs9crX5KrhiHqRbQWFvop\nXWS0dA7hMKCi2A9w1PR60zQ5FN1BxBymyr0Gv2NxjTbIJILBJLUH4GBtnE0b7BvVU+jNJ9fl5/BQ\nG0kzqZNkLxD0VVxEhKNxuvojBIt8uF3HXvquRCu9iU7yHIWUu/Rn93zi9sCyKidd3SZd3Unb5BqG\nwZK8CmLJGO3DnbbJ1cwv2pAvIlo61dDPsUarxMwITdH9OHCywrNex8UzgJo1ar7FvgP2hleWBVTn\ndeOAHpuwUNCGfBExUXy8MbqfBHGWutfo9cUzhKVVTnw+g4O1ceJx+1IHBX0leJ1eGgdbSOpcngsC\nbcgXCaZp0tI5RI7HSVHAe9S+3kQnPYl2ch0FlLqWzJOGmtE4HAZrVzmJRqG+wb5VCx2Gg6V5lUQS\nETpDXbbJ1cwf2pAvErr6I4SjCZaU5h4VNkmYCRqjEgOD5R6hQyoZRs0aNR5B7tfhFc34aEO+SGhq\nV1nUl5XlHbW9NVZP1IxQ7qrG58gbq6hmHsnPd7Ck0kFre5LuHvs6PVOLaDUONpM07ZOrmR+0IV8k\nNLYP4jCMo+LjQ4l+2uINuA0PFe7l86idZiI2COWV795r35o0DsNBVV4loXiY+v5G2+Rq5gdtyBcB\ng6EYPQMRKkv8Rw07fDn0BCZJqtxr9MSfDGZplZO8XIODtQkiEfs6J1Phla3tL9smUzM/aEO+CEiF\nVZaOCKt0xJppiu4n1/H/27vz4Dau+4Dj3z1wEgBvEqQkHpbEJ8rWZVmWLMmu7cZO0ziJ0ybTNj2m\nOZp02rTTNJ1O0j/af/pHO0matLkmx6TOJM140jbqdGznclIfOm3J1i0/HRQliiIp3iRuYHf7Byia\nUkiKIpcEQL7PzI4ELLn4vQH2x7cPb38vQpWh1gMpZrqu0S5MLAuki1MRo8E6PLqHY30n1PBKiVOJ\nfAXomkzk+WEVx3E4nngFgDWe9eoLzhLQts7ENOHsWzksy51euaEbNIVXMZoZ48JwhyvHVApDJfJl\nLp7K0jeUoCrio2xiQYPOzFlGrBs0eTdQZtx5hSCl8Hw+DbHOJJFw6Oh0bypiSyS/4tNrfW+4dkxl\n6alEvsy9cb4f24HmaL5uStZJcypxAAOTzcE9BY5OuRv3bjTRNDh1Jovj0o08tYFqKn0VHL9xmoy1\nchb4WG5UIl/mjr7VD0DLRCI/l3ydtJNkQ+ABNd2wxITKdNa2GoyMOnRdc6dXrmkaO6LbSFkpTg+q\n9TxLlUrky1g8leVs5xBVER/hoJeYNcKF1HGCehjh317o8JR52HRvfnjszZM513rlO+q3AfB675uu\nHE9ZeiqRL2NvnO/Hsp3JYZXjiVewsdgc2KumG5aoygqd1maDwSHbtV55YyjKqlADpwfPMZZZOetr\nLicqkS9jU4dVejNX6MleJqRXkLFTdKRO3VKLXCkdWzff7JW7N1a+p3EntmNz8PrrrhxPWVp37JYJ\nIXTga8AWIA18TEp5ccr+TwEfA/onnvqElFIuQqzKXRiNpTlzeYiWaJiygMGB0ZcBWONtU9MNS1xl\nhc49LQYdnRZXuixamhZ+dfVg9H7+59IL7O8+zJPNj6oFJ0rMXD4BTwN+KeVDQohdwBeA903Zvx34\nIynlscUIUJmfQ2f6sB2HPZsauJh+k3F7mFpzFUH1BWfJON81MuO+yjqg08Oh19KknBgbmisW9FoB\n08+O+m0cuH6EM4Nvsalm44KOpyytufzZ3Qv8BEBKeRh44Lb924HPCiH2CyE+63J8yjw4jsOB0z2Y\nhsbGdWWcSR7Bo/lo9NxT6NAUlwSCEG20SSY1+nrc6T0/vOohAF7tPuzK8ZSlM5dPQAQYnfLYEkJM\n7ck/C/wp8DiwVwjxlIvxKfNwpW+c7v44W9fV8MvrL5JzMtwXeAhTc2/tR6XwmlosDMPhaqdBJrPw\nsfI14UZaI02cHZSqTnmJmcvQyhgwdRVeXUqZAxBCaMCXpJSjE4+fB7YBz810sMrKIKZp3HWgtbUr\nayHghbT3S88dACDUfJ2DPa8TNEL4fR60Ih339PlX1h8Yt9rr80NzK3Rc1DgnHfbunt/KTlM/a+9u\nf5yvHHmGQ/1H+Mj233ElTnXuLr65JPIDwHuAH06MkU+d6hABTgsh2oE4+V75d2Y72PBw4q6DrK0N\n09+/cqZFLaS9yXSOczJNIAAXUvnbrleb68mkLcC9W7vd4vN7SKdWzh2Fbre3vgG6r3l440SK5iao\nKL/7P9ZTP2ttAUG1v4oXO/bzcP0eKnwLK+Ggzl13jz2Tubzr+4CUEOIg8EXgU0KIDwkhPj7RE/87\n4P+AV4EzUsoXXIhZmaf9p3rIZqG+vYuh1DBN4dWEjcpCh6UsEsOAe9blcBw4/FpmwdMRDd3gnS2P\nkbNzvHjlZZeiVBbbHXvkUkqb/Bj4VG9N2f894Hsux6XMg+04/OLoNQx/ggHPW3g1L9vrNnO1J1Xo\n0JRFVFXtsLpR59p1m45Oi7WtC5uOuDO6nR9f/gX7rx/miebHKPetrKGRUlScg6bKvJy8OMiNkQSR\nDeewHIv76zbjN/2FDktZZJoGux70Yhpw5PUMydTCeuWmbvLOlsfI2jlevPqSO0Eqi0ol8mXCcRxe\nOHIFo7aLlLefaLCOlsiaQoelLJFIWGf7Ng+pdD6ZL9Suhh1U+St5+dpBeuN9LkSoLCaVyJeJUx1D\nXBroxtci8eoedkbvV3dwrjDtwqS2Rqej0+LylYWtJOTRTT6w/r1YjsWzcp9rpQCUxaES+TLgOA4/\neuUC3rUncDSLB6P3E/QECx2WssR0XeOR3fkhlgOHM8TiC1u+bUvtvWyqaefCSAev9aqFJ4qZKoG3\nDByT/fT4j2KWjbO74cHJRXWVlae8XOfBB7wcPJLhlQMZfuMdPnR99iuz/TPcybl31S4+uP5p5NBF\nfnTxOTZWC8JeVeKhGKkeeYlLpnN8/9jPMeuvUuuv4wNt7y10SEqBifUGzWsMevtsjh2f/5z1/d2H\nOTck2Vi9gVg2zhff+DqvXDvoYqSKW1QiL3HPvHKATP1JPPj55LaP4DO8hQ5JKTBN09i720skrHHq\nTI7OBY6Xb6hcx6pQA32Jfk4OnHUpSsVNKpGXsMOXLnDK+RmaBh/f/IfUBKoKHZJSIOe7Rm7ZrvSN\nslZk0HWHl/anOXZmdNZqirPRNI1d0QcIeco4N3Seo33HXY5eWSiVyEvU+RtX+d6l76KZWZ6IvpuN\nNesLHZJSZMpCDqI9h23D2VMmqeT8j+U1PDy8ahembvLds89yVC0LV1RUIi9BV0av8eUT3wYzwybv\nozx97yOFDkkpUtW1Dvess8hmNU6f9BBPzH8mS4WvnMdW78Wre3nm7LMc6jnqYqTKQqhEXmKO9pzg\nc0e/im2kaEw9yCf2vKvQISlFrnG1zZomi1RS48c/Sy8omdcEqvjLbX9CwPTz/XM/5Fm5j4y1coqe\nFSuVyEtE1s7xX/J5/v3cf2DbUD/6MH/zxPvVTT/KnDS1Wqxushgbd3j+J2mGR+afzJsja/j09j+n\nsSzKq92H+NzRL9MxesXFaJW7pS31HVv9/eN3/YIrvRTmvovPc/DaMRJ2DDsVoGrsAZ7YXYNpzC2J\nz/dLrqWgytguHceB5EgZb5zI4vXCY4/4WNVw92sD7F21C4CMleVHF5/j1e5DAGypvY+nWp+kMRSd\n/NmVfu66fOwZT3h1Q1AReel4NwDhkJ/xWIqRXD8n44fpszpwHLBuNFGnraWlSZtzEleUmzQNtm72\nEApp7D+U4acvptm62WTrJs8dbxqajtfw8Lvi/eyo38a+i89zov80J/pP01axlodXP8R91e2L0Apl\nOiqRFxnHsemMX+DNwdcZ1roAsGPl6DcEYlWYikpV80JZmHX3mETCGi+9muH4yRzXum32PuSlqnJu\nI63T3Qm6M3o/q8MNnB++xPmR/GZqBjtWb6U9soF7qzfgN31uN0WZoIZWCiyVydE3HOfMjUsc6HqT\nUfMKjpmvH26NV+AbEtSVh4hGHaau1Na2Zu6rpquhleJR6PZO/dyk0w6HXsvQ0WmhadDeZrJls4eA\nf2FXe6PpMTrHrnJ1vJtYNg7ki3BtqGpjY1UbG6raqAvWLOg1ilWhhlZUIp+Hm0Mg08nmbOKpLKm0\nRTpr0VwfJpbMEktmiaeyxJM5YqkMY/YQMeM6uUA/engIzcgvw+bkPBhjjdTbG1hX00R9ZYDL6dO/\n8joqkZemYmzv0KBGxwWTVErDMBzqG2xWrbbYtH7un7HpOI7D9taN/FIe5s0bp+hN3JjcV+OvYkN1\nG20V99ASaabKX7EsvrhXiXwWxZjIUxmL4fEUw2NphsbTjMUzxJJZUplp1sXUc+ihUfSyEfRQftM8\nb5/Mfqeces8aUjGTmmAF5RW+O57sKpGXpmJtr21Db4/OtSsGmYwGODQ2GKxtNWlpMvB45pdkw2E/\n4+P5K8xYJk5voo+e+A0GU0Mkc2+vXFXuDdNS3kxrpInVoUYaQvWUeyMll9yLNpELIXTga8AWIA18\nTEp5ccr+9wB/D+SA70gpvzXb8UotkduOQ/9Ikq6+GFdvxOjqG+dC9yiJ1K31K3QNggGTsnAOTygG\ngXFynlHSngFSxG752aAZoC5YS32wlmiwdrLk7M2EO5eTXSXy0lTs7bVt6O/T6e3RGR/Lj+UZBqxe\nZdAY1WmMGkQi2pwT7NREfsvrODaDqWEGkoMMJocYuC2xA3h1L+W+CBW+CNvrt9BQFiUarKPMEyza\nBF/Ms1aeBvxSyoeEELuALwDvAxBCeMgvyLwDiAMHhBD/K6UsuSVFHMdhYDRJ18A4XQPDdA+N0jsy\nTv9YjKydAd3KD3/oFt5qh6oAeP0Ohi+NbSbJaHGSdowxbp2fq2MQ0iso0yOE9HLKjAgezQc5yI3B\ntbEMcPcruhRzclZKl65DfYNNfYNNtCJCx2WLi5dzXLlqceWqBWQJBjXqanSqqnSqKnWqKjXKgnNP\n7gC6plMbqKY2UA3kz79ELslgapjR9Cgj6TFG02MMJAfoTw5wYaRj8ncDZoDaQDV1wRpqAzVU+Suo\n8JVPbgHTX7SJfrHMJZHvBX4CIKU8LIR4YMq+duCilHIYQAixH3gE+E+3AwVIZJNk7Sy2Y09sDjY2\nmWyW8WSWnG1h2TZpK0sqlyKdS5Oy0qRyaRLZFIlsimQuRSqXJm2nyVhpElYCmxyOngM9h6ZPXDD4\ngSjoUZjuu/bkxAaAAwFCVBp1BI0wFUYN5RNbb6ZzxX2olOUhEtbZullnyyaT8ZhDT6/N9R6Lnj6L\nzqv57SbDgFCZRiiUT+p+v4bfp1FermHbOUxDwzCY2PL/17X8lEi0/KIYZYEgZZ4gTKmnn7MtxjJj\n1AfruB7vpS/RT39igOuxHq6OX5s2bq/uIegJEjQDBEw/QU8An+HD1M38phkYuoFHMzF0A1Mz0XUd\nXctvhqajc+tj7ebzt2355wx0TUPXdOJmmNFYavKxrhmTv2foBiFP2aK8V3NJ5BFgdMpjSwhhSilz\n0+wbB8pdjG/SqYGzfOPkd3Fwb0zf0QHHBNtEt3yYdhle04PPNAn4PAS8Jh4j/8bnPwQGhmbSP5TO\nv3kYeDUfHs2Lpt06dStlx0nZcZXElZKnaRqRsEYkrCPWmziOQzzhMDRkMzTsMDRsMx5ziMVtRsdu\nPz/nPoy0fZuHLfd5bnnO1A2q/JVk7ezbPfjq/JBnIpcglomTyCVJ5JIksxP/5lJk7AwDyQQZu7iG\nsZ5qfZJ3tb7D9ePOJZGPAeEpj/WJJD7dvjAw6zX/bOM8s3m8fSePt++cz68qiqIsa3O5A+AA8JsA\nE2Pkp6bsOwesF0JUCSG85IdVDrkepaIoijKju5m1shnQgA8D9wMhKeU3p8xa0cnPWvnq4oasKIqi\nTLXk88gVRVEUd6kytoqiKCVOJXJFUZQSpxK5oihKiSuaMrZzKAXwe8BfkS8FcAr4Mynl/Jc5KbA7\ntXfKz30TGJJSfmaJQ3TVHN7fHcC/kP9CvRf4Aynlr97bXSLm0N7fBz4NWOQnCXy9IIG6SAixE/hn\nKeWjtz1/V2U8SsUs7V3yXFVMPfLJUgDAZ8iXAgBACBEA/hF4TEq5h/xNR08VJEr3zNjem4QQnwA2\nLXVgi2S291cDvgV8WEp5807i5oJE6Z47vb+fB94B7AE+LYSoXOL4XCWE+Fvg2+TviZ76/M0yHk8C\nvwZ8XAhRv/QRumuW9hYkVxVTIr+lFAAwtRRAGtgtpUxMPDaBku2tTZitvQghdgM7gW8sfWiLYrb2\ntgGDwKeEEC8DVVJKufQhumrW9xc4Sf4k95O/Cin16WOXgN+a5vnJMh5Sygxws4xHqZupvQXJVcWU\nyKctBQAgpbRvFuISQvwFEAJ+vvQhumrG9gohGoB/AD5ZiMAWyYztBWqA3cBXyPdSf10I8fgSx+e2\n2doLcBo4BpwBnpNSlnQVNCnlfzP9/fhLVsZjKc3U3kLlqmJK5LOVAkAIoQshPg88Afy2lLLUezCz\ntfeD5JPbC+Qvyz8khPjjpQ3PdbO1d5B8r+2clDJLvid7ew+21MzYXiHEZuDdQCvQAtQJIT645BEu\njbsu41HqCpGriimRz1YKAPJDDH7g6SmXLaVsxvZKKf9NSrl94kuUfwJ+IKV8phBBumi297cDCAkh\n1k08fph8T7WUzdbeUSYKaEopLeAGUNJj5LNYiWU8ljxXFc2sFWAf8IQQ4iATpQCEEB8if2lyFPgo\n8CrwSyEEwL9KKfcVKlgXzNheKeU3Cxvaopi1vUKIjwI/mPji86CU8vlCBuuCO7X3G8B+IUSG/Hjr\nM4UL1X23tfWvgZ/ydhmPmddKLFGFzlXqFn1FUZQSV0xDK4qiKMo8qESuKIpS4lQiVxRFKXEqkSuK\nopQ4lcgVRVFKnErkiqIoJU4lckVRlBKnErmiKEqJ+39GK5z5+SwNqQAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1106326d8>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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zh0M8dfj0nMrf03kAj8vD5tINSerB8xX7CwlFQ3SMyA7ii5kEabHotXWP8OzR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\nUUQ9CKjVGyz5AbVGHb/ewA8a+I2AetAAIwIjbM6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"text/plain": [
"<matplotlib.figure.Figure at 0x110929470>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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DRVh+iEgLwiRMM0x7sAkHTvJdpYu673KfFfI4JiEPYRIi0sKyIBAMMzoeZHQ8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\nKDns/wEdV4DVTzZeNwAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x110a84828>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"for feature in [\"iupred\", \"dynamine\"]:\n",
" for code in [\"S\", \"T\", \"Y\"]:\n",
" result = Result(feature, code)\n",
" result.rank_test(data)\n",
" result.plot_hist()"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.5.2"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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