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@sjmf
Last active January 16, 2016 18:49
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Data processing with Pandas + matplotlib (Seb)
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{
"cells": [
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Populating the interactive namespace from numpy and matplotlib\n"
]
}
],
"source": [
"%pylab inline\n",
"#%matplotlib notebook"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"import pandas as pd\n",
"import matplotlib\n",
"import matplotlib.pyplot as plt\n",
"\n",
"matplotlib.style.use('ggplot')"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"'0.17.1'"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# 0.17.1\n",
"pd.__version__"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"['420BA3F8',\n",
" '4214EDAC',\n",
" '425B726C',\n",
" '428A7515',\n",
" '429DB64F',\n",
" '42AD878D',\n",
" '42F2ABD1']"
]
},
"execution_count": 10,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"ids = !ls csv/42*.csv\n",
"ids = [i[4:-4] for i in ids]\n",
"ids"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"id_map = {\n",
" '420BA3F8':'Kitchen Door',\n",
" '4214EDAC':'Bathroom',\n",
" '425B726C':'Stairs',\n",
" '428A7515':'Bedroom',\n",
" '429DB64F':'Hallway',\n",
" '42AD878D':'Kitchen Window',\n",
" '42F2ABD1':'Front Door'\n",
"}"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"dfs = {}\n",
"for i in ids:\n",
" dfs[i] = pd.read_csv('./csv/%s.csv'%i, parse_dates=True, names = (\n",
" 'DateTime',\n",
" 'Name',\n",
" 'RSSI',\n",
" 'Type',\n",
" 'SequenceNo',\n",
" 'TransmitPower',\n",
" 'Battery',\n",
" 'Humidity',\n",
" 'Temp',\n",
" 'Light',\n",
" 'PIRCount',\n",
" 'PIREnergy',\n",
" 'Switch',\n",
" ),\n",
" index_col=0)"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"['Kitchen Window',\n",
" 'Bedroom',\n",
" 'Hallway',\n",
" 'Stairs',\n",
" 'Front Door',\n",
" 'Bathroom',\n",
" 'Kitchen Door']"
]
},
"execution_count": 13,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"names = [id_map[i] for i in dfs.keys()]\n",
"names"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>PIREnergy</th>\n",
" </tr>\n",
" <tr>\n",
" <th>DateTime</th>\n",
" <th></th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>2015-10-31 23:10:53</th>\n",
" <td>864</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2015-10-31 23:10:56</th>\n",
" <td>1154</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2015-10-31 23:10:58</th>\n",
" <td>1743</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2015-10-31 23:11:05</th>\n",
" <td>2520</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2015-10-31 23:11:14</th>\n",
" <td>3006</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" PIREnergy\n",
"DateTime \n",
"2015-10-31 23:10:53 864\n",
"2015-10-31 23:10:56 1154\n",
"2015-10-31 23:10:58 1743\n",
"2015-10-31 23:11:05 2520\n",
"2015-10-31 23:11:14 3006"
]
},
"execution_count": 14,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"dfs['429DB64F'].loc[:,['PIREnergy']][:5]"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# PIR Fix"
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": false
},
"source": [
"## Old way of doing this:\n",
"(Nested loops are creating lots of objects and are sloooow- better to do it as below with Pandas' methods)\n",
"```\n",
"for i in dfs:\n",
" last_ix = None\n",
" diffs = []\n",
" for ix in dfs[i].index:\n",
" v = dfs[i].ix[ix].PIREnergy\n",
" if type(v) is pd.core.series.Series:\n",
" v = v.tail(1).values[0]\n",
" if last_ix is not None:\n",
" diffs.append((v - last_v + (65535 if v < last_v else 0))/1./(ix.value-last_ix.value)*50e8)\n",
" last_v = v\n",
" last_ix = ix\n",
" dfs[i]['PIRDiff'] = pd.Series([0]+diffs, index=dfs[i].index)\n",
"```"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## New way:"
]
},
{
"cell_type": "code",
"execution_count": 143,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"# Fast PIR Differencing using Pandas array operations\n",
"for i in dfs:\n",
" df = dfs[i].loc[:,['PIREnergy']]\n",
" \n",
" # Energy deltas\n",
" energy_diffs = df.diff()['PIREnergy'].apply(lambda x: x if x > 0 else x+65535)\n",
" \n",
" # Time deltas\n",
" df['tvalue'] = df.index\n",
" df['delta'] = (df['tvalue']-df['tvalue'].shift()).fillna(0)\n",
" df['ans'] = df['delta'].apply(lambda x: x / np.timedelta64(1,'s')).astype('int64') % (24*60)\n",
" \n",
" # Divide one by the other, then normalize to 0\n",
" df['PIRDiff'] = energy_diffs.astype('float').div(df['ans'].astype('float'),axis='index')\n",
" df['PIRDiffNorm'] = df.loc[:,['PIRDiff']].apply(lambda x: (x.shift(1) - x) *60 ) # abs(dx) and *60 for minutes\n",
" \n",
" # Calculate std. deviation\n",
" dfs[i]['PIRStd'] = pd.rolling_std(df['PIRDiffNorm'], 500)\n",
" dfs[i]['PIRDiff'] = df['PIRDiffNorm']"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# PIR Movement analysis"
]
},
{
"cell_type": "code",
"execution_count": 50,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"for s in dfs.keys():\n",
" #428A7515 - Bedroom\n",
" #42F2ABD1 - Front door (worst case)\n",
" data = dfs[s].loc['2015/12/25 07:00:00':'2016/12/30 00:00:00',['PIRStd']]\n",
"\n",
" data.plot()\n",
" title(\"PIR Counts/minute @ %s (%s)\" % (id_map[s], s))"
]
},
{
"cell_type": "code",
"execution_count": 144,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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IiIjIBzW6DTsRERERERH5p+Dg4MseoltRFFgsFg+nqGUTQuDChQv1np8BOxER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\nuHthP8st8AfvbDRp0oTGFAS75wVbAV0Hr2j/A6M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h/mGQzfv+QsxXn8C2n6FjZ8j4xjby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"text/plain": [
"<matplotlib.figure.Figure at 0x129f125f8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"figsize(17,5)\n",
"\n",
"for s in [list(dfs.keys())[0]]:\n",
" ####################################################\n",
" # Pull out data\n",
" data = dfs[s].loc['2015/12/31 07:00:00':'2016/12/30 00:00:00',['PIRDiff']]\n",
" std = dfs[s].loc['2015/12/31 07:00:00':'2016/12/30 00:00:00',['PIRStd']]\n",
"\n",
" \n",
" ####################################################\n",
" # Threshold based on a multiple of the standard deviaton\n",
" sd = np.std(data)[0]\n",
" thresh= sd * 4\n",
"\n",
" \n",
" ####################################################\n",
" # Graph normalised PIR against standard deviation s\n",
" data.plot()\n",
" plot(std*6)\n",
" title(\"PIR, rolling std. dev @ %s (%s)\" % (id_map[s], s))\n",
" #ylim(-2000,2000)\n",
" vlines(data[(np.array(data) > std*4)['PIRStd']]['PIRDiff'].index,\n",
" [0],\n",
" data[(np.array(data) > std*4)['PIRStd']]['PIRDiff'].values,\n",
" colors=['green'],\n",
" lw=5)\n",
" \n"
]
},
{
"cell_type": "code",
"execution_count": 87,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/usr/local/lib/python3.5/site-packages/matplotlib/pyplot.py:516: RuntimeWarning: More than 20 figures have been opened. Figures created through the pyplot interface (`matplotlib.pyplot.figure`) are retained until explicitly closed and may consume too much memory. (To control this warning, see the rcParam `figure.max_open_warning`).\n",
" max_open_warning, RuntimeWarning)\n"
]
},
{
"data": {
"image/png": 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yMjKoM35djKIoMJvNDX6cpiaEQFlZmd/rM2AnIiIiIiKiakmS1KybqgdboA8l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\nH8xmMx6Ph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"text/plain": [
"<matplotlib.figure.Figure at 0x128e6b8d0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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xQi1atNCsWbMUHR2t5ORkSdKBAwe0YcMGJSUlacyYMVqwYIGMMZKk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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x11aa4b278>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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"text/plain": [
"<matplotlib.figure.Figure at 0x1170c0be0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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DUFUVmzdvdjknJ0+exBdffIG9e/c6Xpx16NABiYmJ+Pvf/+4I2D/88ENYrVZERES47E9V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"text/plain": [
"<matplotlib.figure.Figure at 0x110535c18>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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BGwAAAAAAExG8AQAAAAAwEcEbAAAAAAAT2ZrTqaamRi+88IK++eYbWSwWTZgw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\nAAAAAExE8AYAAAAAwET/HydCO8O9MDuxAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x12336a0f0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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Oo5KYmFhhv51C36GqPf3006pXr54KCws1depUXX755T5z6DtUpfLy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\nRK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x118797278>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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Urspez5CQkAr3l5R4IYQQQgghhBCiAZKAXQghhBBCCCGEaIAkYBdCCCGEEC5R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QAAAg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\nERERBaD/B0F5dvTUzAAWAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x114025b38>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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EIgMAAAAAED4CmuNdX1+v2bNna//+/brsssuUmJgoSVq/fr3ef/99DRw4UDfd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\nAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x11524a128>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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"text/plain": [
"<matplotlib.figure.Figure at 0x10f683a58>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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8xXT4X//615g7dy7effddjBgxIm5eaWkpjjzySOi6Hps2YsQIiAi2bNmCXr16oaio6JCp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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10dbfe438>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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Hxys+Pl5SI4P3qlWr1L17d40aNco3NmjQIGVnZyspKUnZ2dlKSEgI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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1228aee10>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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"text/plain": [
"<matplotlib.figure.Figure at 0x11be6e6d8>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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aSJIEvV6Pvn37YsGCBRg3blzAx2xofWNIItS94lvI6dOnW7oIFCSLxYLS0tKW\nLga1A6xr1FxY16i5sK5Rc2FdI9aB0Krr/UxMTPS7PZvEExEREbVjoiCvpYtARER1YMBORERE1E6J\nijJoT2e0dDGIiKgODNiJiIiI2iuHA3C7WroURERUBwbsRERERO2VywlcFKMZERFdnBiwExEREbVX\nLhcgtJYuBRER1SEk07pVVFTg1VdfxYkTJyBJEu6//34kJCRgyZIlyMvLQ1xcHDIyMmA2mwEA69at\nQ2ZmJhRFQXp6unci+iNHjmDFihVwuVwYNGgQ0tPTQ1E8IiIiIvLH7QRT7ERErVdIAvY333wTgwYN\nwh/+8AeoqgqHw4G1a9eif//+GDduHNavX49169bhzjvvxMmTJ7F161YsXrwYBQUFeOqpp7Bs2TJI\nkoSVK1fivvvuQ0pKChYuXIhdu3Zh4MCBoSgiEREREZ3P6QQ0BuxEVDchBCwWywU/j6IoUFX1gp+n\npQU7q3qTA/aKigocPHgQDzzwAADPG202m7Fjxw7Mnz8fADB69GjMnz8fd955J3bs2IFhw4ZBURTE\nxcUhISEB2dnZiI2NRWVlJVJSUgAAI0eOxPbt2xmwExEREV0oLmbYiah+ZWVlzXIezvfuX5MD9rNn\nz8JisWDFihU4duwYunfvjvT0dBQXF8NqtQIArFYriouLAQCFhYXo2bOnd3+bzYbCwkIoioKYmBjv\n8piYGBQWFja1eERERERUF5cLCDLbQ0REzafJAbumafj5558xffp09OjRA6tWrcL69etrbSdJUlNP\n5ZWVlYWsrCzv75MnT26WZhoUWgaDgZ8bNQvWNWourGvUXEJV15w6BRVa8zR3pbaJ1zVqLqxrwPvv\nv+/9OTU1FampqU0P2G02G2JiYtCjRw8AwBVXXIH169fDarWiqKjI+39UVJR3+/z8fO/+BQUFsNls\nsNlsKCgoqLXcn+rC18TmE20Pm71Qc2Fdo+bCukbNJVR1TSstBiBYb6lOvK5Rc2nvdc1isWDy5Mm1\nljd5Wjer1YqYmBicPn0aALB3714kJSVh8ODB2Lx5MwBg8+bNSEtLAwCkpaXhm2++gdvtxtmzZ5GT\nk4OUlBRYrVaYzWZkZ2dDCIEtW7ZgyJAhTS0eEREREdWFTeKJiFq1kIwSP23aNLz00ktwu92Ij4/H\nrFmzoGkaFi9ejMzMTMTGxiIjIwMAkJSUhKFDhyIjIwM6nQ4zZszwNpefPn06Xn75Ze+0bhxwjoiI\niOgCcjpAhipWAAAgAElEQVQBeEYtDmX3RSIiCg1JBDuufCtVneGntqO9N3uh5sO6Rs2FdY2aS8ia\nxP9vLcS/V0H++zpIshKCktHFhtc1ai7tva4lJib6Xd7kJvFERERE1Ea5PBl2zuxGRNQ6MWAnIiIi\naq9cLs//QmvZchARkV8M2ImIiIjaK2bYiYhaNQbsRERERO0VM+xERK0aA3YiIiKi9sqbYWeKnYio\nNWLATkRERNReMWAnImrVQjIPOxERERG1ParLiW2x/eE4Wgqd0QlFkqBXPPOx/yoxHAbFN7ejCQGH\nW0AnA3qFeR8ioguNATsRERFRO7VNisfb3Xujb54dquyGWxNwqRqyC+z43RUJSOsU4d3205/O4ZXv\ncgEAv+4eid8P9T9nMBERhQ4DdiIiIqJ2SNUE1oSlYuaBfyPt9vmQwn8Jzhd9dRolDtVn+4IKN+4Y\n0AEJFgO+PVna3MUlImqXGLATERERtUNfHitBuObAoMIfcf68buEGGRuPFONcpRvlThWSJKHUoaJT\npAGKBKgcVJ6IqFmw8xERERFRO+PWBNbszccdBd9CAgDNN2C/sXc0oowKiu1umPUKNhwuwv+yixBu\nkCHLEjQOUkdE1CyYYSciIiJqZzKPFCPWrEf/kqNVS3wD8KRIIx69spP3918lhqPI7ka/eDN2nSln\nwE5E1EyYYSciIiJqR1yqhn/tzccdl3aoMa1b/W3cu9tM+FViBAyKDEWS2CSeiKiZMGAnIiIiakc+\nP1yMLlYj+sSaAbfLs1ALPGOuyBJUZtiJiJoFA3YiIiKiNkJUlEM0IVh2uDX8v30FuGNArGeBywno\nDTi/SXx9ZAlQGa8TETULBuxEREREbYT2+9uBXd82ev9PfypCzw4mpMSYPAtcLk/AHkyGXZKgBbE9\nERE1HgN2IiIiojZEFBc2ar9Kl4b/7C/A7f07eI4jhKdJvCHIDLvMDDsRUXNhwE5ERETUpkiN2uuj\nQ+cwIN6M5Oiq7LrbBSiKJwIPopm9InFaNyKi5sKAnYiIiOgiV+ZU8cHBQtw2oMMvC6v7r0tBBuyy\nBJVN4omImgUDdiIiIqKL3IbDRfhVQjiSIo2/LKzuvw4EmWFnk3gioubCgJ2IiIjoIpd1thKXJUX4\nLqzOsAfZJF6WmGEnImouDNiJiIiILmJCCBzKq0TPDmG+K1wuQK8HJCm4gF0G52EnImomulAdSNM0\nzJ49GzabDY899hjKysqwZMkS5OXlIS4uDhkZGTCbzQCAdevWITMzE4qiID09HZdeeikA4MiRI1ix\nYgVcLhcGDRqE9PT0UBWPiIiI6OIgBTfoXG6ZCzpZQmy43neFywnoDIDTAQgt4OPZwnQ4U+rCzjPl\nGJQQHlRZiIgoOCHLsH/88cfo1KmT9/f169ejf//+WLp0KVJTU7Fu3ToAwMmTJ7F161YsXrwYs2fP\nxsqVKz3TigBYuXIl7rvvPixduhRnzpzBrl27QlU8IiIionbpYL6f7DpQ1SReD8hSMLO6waxXMCDe\njB2nykJXSCIi8iskAXtBQQF27tyJq6++2rtsx44dGDVqFABg9OjR2L59u3f5sGHDoCgK4uLikJCQ\ngOzsbBQVFaGyshIpKSkAgJEjR3r3ISIiIqIqQc7qdii/Er1jTbVXVPdhhxRUhh0A0jpFNHJyOSIi\nCkZIAvbVq1djypQpkGo00SouLobVagUAWK1WFBcXAwAKCwvRocMvU4rYbDYUFhaisLAQMTEx3uUx\nMTEoLCwMRfGIiIiI2q1D+Xb08pthdwEGQ1Uf9uCOGWRSnoiIGqnJfdh/+OEHREVFITk5GVlZWXVu\nJwXZ36o+WVlZPueaPHkyLBZLyI5PzcNgMPBzo2bBukbNhXWNLrQiACajKeC6ZnepOFXixMAusTDo\nfPM0Tp0CV5gZqqIg3BwGJYi6azJVQOcA63s7wOsaNRfWNeD999/3/pyamorU1NSmB+wHDx7Ejh07\nsHPnTjidTlRWVuKll16C1WpFUVGR9/+oqCgAnox6fn6+d/+CggLYbDbYbDYUFBTUWu5PdeFrKi0t\nbepLoWZmsVj4uVGzYF2j5sK6Rs3B7rDD6HQGVNeycivQOcoAR2U5HOet00qKAUgQQqC8vAxSEHXX\n6XDAGWAZqG3jdY2aS3uvaxaLBZMnT661vMlN4u+44w688sorWL58OR5++GH069cPDz74IAYPHozN\nmzcDADZv3oy0tDQAQFpaGr755hu43W6cPXsWOTk5SElJgdVqhdlsRnZ2NoQQ2LJlC4YMGdLU4hER\nERG1W4fyK9HbX3N4AHC7PH3YJQloxLzqnNmNiOjCC9m0bue7+eabsXjxYmRmZiI2NhYZGRkAgKSk\nJAwdOhQZGRnQ6XSYMWOGt7n89OnT8fLLL3undRs4cOCFKh4RERFRGxV4N8OD+ZUY0TXS/8rqUeIl\nCcH2SGcfdiKi5hHSgL1v377o27cvACAiIgLz5s3zu9348eMxfvz4Wsu7d++ORYsWhbJIRERERO2S\nEAI/5ldixuB4/xs4q0aJl+RGpcuZYSe6+IiiQoi1qyHfk9HSRaEqIZuHnYiIiIhaj7PlLkCSEBte\nR36melq3RjSJ9wwsz4id6GIjDu6B2JrZ0sWgGhiwExEREbUlAc6845nOzVT3TD01+7AH3SReYoad\nqBUSpcUQmnZhz1F8DqKk6IKeg35xwfqwExEREdGFd7zYgb9uOQWXKqDIgCJJUCQJJQ43xvXxP+MO\nAE+GPSKyKsMe/A0+43Wi1kf7wxRIU2ZBGnnthTvHX2YBBhOUF968YOegXzBgJyIiImqD3JrAnpxy\nvL7jLG7sFY20TuFQNUAVAqomoAkgKcpQ9wFcNTPswZEl9mEnarUudPa7ohxwnj9RJF0oDNiJiIiI\n2ohKxYADlSbsyPwZX/9ciMRII8b3tWFsijX4g9UcJV40JsPOiJ2I6EJjwE5ERETURswZ9ACc56Ix\n/pIwTOzTDbHh+sYfzOUEdIbqEeSCIoEZdqKLUiNa3LQHQtMg/t+bkG+d3uzn5qBzRERERG1Euc6E\nBXFnMXFAx6YF6wBE9SjxCD7DLkkS8+tErVVzfDnb2wXAXgmx4YMWOTUDdiIiIqI2okQfDoscohGg\nXS5IBkNVh/TgdmWGnYioeTBgJyIiImoDHG4NgASjFKJI2duHXW5Ehr39JdiIiFoCA3YiIiKiNqDE\nocLiKockh6iPqcvl6cMOBJ0u92TYGbITtUdfxV6KiSOewt3/+Qn/+D63pYtz0WPATkRERNQGlDhU\nRLrKQ3fA6j7sshx8wM4+7ETtVm6YDaNzd+KhKxKw6UhxSxenebTgYHwM2ImIiIjagNKqDHvIbhyr\nm8QDjcywh6YYRNS2qJIMm7MEXa1GGHUMJy80vsNEREREbYAnw14Ruki5OsMuNSbDzj7sRO2VJslQ\nhAZZAjReCC44BuxEREREbUCJw+3JsIeKy1UVsKNxATtv1InaJbekQBEqFEmCxoj9gmPATkRERNQG\nlDhUWNwVoWsS766RYQ8yXy4BEMyxE7VOF/hpmibJkIUGWZag8cndBceAnYiIiKgNKLGrFyDDrvc8\nAAgySyZBYoadqJ1SJRm6qibxKq8DFxwDdiIiIqI24Mg5B7qU58KT3w4Bbx92qVHzsBNR+6RW9WFX\nJAkqm8RfcAzYiYiIiFo5p6rh6Dk7Lik5HpLjCVUFAEiKUhV9B98knvfpRO2TWtUkXpF5HWgODNiJ\niIiIWrnsAjuSoowwaa7QHNDl8GTXgcY1iZcAjhNP1D5pVYPOyZIEtb30jWnBVkW6ljs1EREREQXi\nQF4l+sSGeX4JxY1j9QjxQCMz7BIza0QXqdNhHeAqtNdaXuJQYdRJOBjVFT3LTnindRNCQGI/mQuG\nATsRERFRK3cgrxKju0WG7oDV/deBRs3RxntzoovTObeM313+KJK3nqn1PQ/TyXCoGqKc5ehedhqy\nJHm7xygX+zWhBR9QMmAnIiIiasWEEDiYX4n7LosP3UGrR4gHGhewg/OwE7VWqgDsLhUOt4BT1eBU\nBQoq3NCqMuHhehmJFgMijEqtfe1CQnxlAZbeObzu48/8PSB7elZX92OvfSQKFQbsRERERK3YqVIn\nTIqEmDAdNCA0mZ4aGXbPFG0iqJb2kgQEN648ETWHt7pfh/VlgxC29jAMOglGRYZOBmxmPXRV39vC\nCjfOlrsQG67Hgl93Rmy4vsYRJEhBXGRkqXou9os8xd6W+7AXFBRg+fLlKC4uhiRJuPrqq3H99dej\nrKwMS5YsQV5eHuLi4pCRkQGz2QwAWLduHTIzM6EoCtLT03HppZcCAI4cOYIVK1bA5XJh0KBBSE9P\nb2rxiIiIiNq0g3mV6BNrrpHSDkHE7nIBuqqbdFluRJP44LPyRHThHQ9PwOyww7hiwg31bqdqAg98\neAR5VYF7NQ2AFMRXu10NPFeDw63hTKkT5U4NHcJ10MkSDuZXosyhwalqUIXAuN62kPTtb3LArigK\npk6diuTkZNjtdjz22GO49NJLkZmZif79+2PcuHFYv3491q1bhzvvvBMnT57E1q1bsXjxYhQUFOCp\np57CsmXLIEkSVq5cifvuuw8pKSlYuHAhdu3ahYEDBzb5RRIRERG1VQfyKtE7NuyXADkUN8c1R4lv\nxDElMMNO1BoJAEoAD/UUWUK0SVfrq+/JlQd+PbC7NRzKtyMmTAdX1UiUQniWa0LgXKUb/eLNiDHr\nGzhS66ZqAreMfh6GNYe8A252jNDDqJNxqsQBvSKjS5QBseF6hOlkfPJTEX7byxaSvv1NDtitVius\nVisAwGQyoVOnTigoKMCOHTswf/58AMDo0aMxf/583HnnndixYweGDRsGRVEQFxeHhIQEZGdnIzY2\nFpWVlUhJSQEAjBw5Etu3b2fATkRERO3agbxK3NAzOsQBuwswVA86JwOi4fBbe/fvEEUFUGbNqSpH\n04tBRKElJAlygF9OWQK087YVAKQArgfV0hLD8eYPZ+FUNRgVGZLkeaBn0smQJWB/XiXuHhiL8X1j\ngngVrY+76m16e+IlkCVAkSQoct3R+GfZRSG7RIa0D/vZs2dx7Ngx9OzZE8XFxd5A3mq1ori4GABQ\nWFiInj17evex2WwoLCyEoiiIifnlg4yJiUFhYWEoi0dERETUppTY3ThX6UZXqxFQ3aE7cM1R4mUp\noOBbfLcFKC8NZhciamYapIC7W0tS7ekZhQiuu/a8qzrXu/6dXXlwqRfB1UIABtUJk04OaPNQ9hoK\nWcBut9vx4osvIj09HSaTqdb6UM7Nl5WVhaysLO/vkydPhsViCdnxqXkYDAZ+btQsWNeoubCuUajt\nKTiHPvERsEZFQjidKAZgMhqbXNecOgWusDCEWywo1+uhNxpgaOB4xbKnoazFYoG5RECWi1jf2wFe\n19oWIUkw6PUBfWYGnQ4mU5jPtkaTCRJK692/qOr/QM4RZioJeNvWXNeUqgcZgZZPgoSIiAgYAgzw\nq73//vven1NTU5GamhqagF1VVSxatAgjR47EkCFDAHiy6kVFRd7/o6KiAHgy6vn5+d59CwoKYLPZ\nYLPZUFBQUGu5P9WFr6m0tDQUL4WakcVi4edGzYJ1jZoL6xqF2s7jhegZbUBpaSmE0wEAsNsrYXQ6\nm1TXtJISADJKS0uhuVW4K+1wNHA8UZUuKi0thb2yEm7VzfreDvC61rYIyFBdgV0fVE1FeUUFSkt/\nCSor7XbIQgS0fyDbuF1OuLXAjtea61pFWRmkAN8XwJNhLykthTGIgN1isWDy5Mm1lockYH/llVeQ\nlJSE66+/3rts8ODB2Lx5M26++WZs3rwZaWlpAIC0tDQsW7YMN954IwoLC5GTk4OUlBRIkgSz2Yzs\n7Gz06NEDW7ZswXXXXReK4hERERG1GmdKnVi+7QwcqqjqB+npDynLEhTJM+qyxSjDFqbHhsPF+OPw\nRM+O1e0rz2vDKtxu4PhhSN17BV4It/O8ediDG0KO87ATtU6aFHiTeEWqdTmBZ4LHQPrIBHYOWfIM\n2NbWaUFOdweErttQkwP2gwcP4ssvv0SXLl3w6KOPQpIk3H777bj55puxePFiZGZmIjY2FhkZGQCA\npKQkDB06FBkZGdDpdJgxY4a3ufz06dPx8ssve6d144BzREREdDEpcahYkHkCY1OsSI0zQ9UENAGo\nQnh/dqoa8ivcsLs0/Lp7FPrEhnl2rmNaN/HtFxCrlkJ5/b+BF8RZow97wJ0tfwkDJAk4WeLEExuP\nQ5Ik7DxTDqtJwYCO4biyqwXxEQZPv3sianYB92EHquZQ/4UQgBzCp3GKn37ybZGnb38w89O3oj7s\nvXv3xr/+9S+/6+bNm+d3+fjx4zF+/Phay7t3745FixY1tUhERG2eOHUMUqeuLV0MImoih1vDpz8V\noU9sGDqE67HtRCm6Wo2Y0JgRk72jxJ+33OUI/lgu13kZ9gDuLGuMR5QcbcTtAzrAYlBg1Em4unsU\nDIqE70+X44MDhdh3thI39orGzLT44MtGRI3mybAHOEq8LNWe1i2I/QOhyBfLPO0CUlCvQ4II0fsY\n0lHiiYio6YTbBe2pDCivrm3pohBRE50oduKNH86iU6QBRXY3yp0a7vlVXOMOVkeGHVojZkR3OQF9\nVQZcCrAJbA1mvYLre0bXWn55Z8+ATF8dK8F/D3K2H6LmJiAh0F7Tngy77zINwY0S3xBZAi6GQeK1\nIEfPb1UZdiIiCjFVA1Q3hKZCkpWWLg0RNUGFS0X/eDOeHtMFQogmzppTxzzsjQnY3U7AZPb8LMm1\n79qbKNqkgxLCGYKIKDBBZdj9zcMuRFDzsDd8DgnaxdAmPsgHm6Ec5yO4ceaJiOjCE6rnf3cI51wm\nohZxPKcIBs3zXW7yFLd1NYlvVIbdVaMPO0I+glxbzKppmz+G9tH7DW9I1IqJIOZhlyU/TeKD7Kvd\n8DlC/jywRQgE2bdfCt2gcwzYiYham+qbbwbsRG2e87P1iNv7ZWgOVleT+MZkw1w1R4mXax+ziWRZ\nqjWYVWsn1r0Nsf6dli4GtWJi93aoM29q6WLUS0hy4E3i/Y0SL0mQQvjVvVj6sIsgnzqE8qrKgJ2I\nqLVRqwN2V8uWg4iaTHW6YHRW+CwTQkBkHwj+YCKETeLPz7AHcjMaRAuBiyWrRlSTOJbd0kVoUDDT\nj8lS7QdrAoFm2AM7h2fquLZ/MRAAZAiIQF+LJAW+bQPYh52IqLWpp0l8bpkTOllCkV3FthOl2HWm\nHD8W2PHnkZ0wtGqwJyJqPVRZgXJ+BvzIIWjPPRbcNGxA6Aed0124DLviJxBo/X55IJFX7kJeuQt9\n48zeZZoQOF3ixKH8ShRUujG8SyQ6RRpaoqDUUtrAuAwiiHnYZfjJsAsppNO6yZLkzUO0ZUKIoLoO\nhfKqyoCdiKi10TRs65AK+XQF5PJSnCh2YuuJUpQ43CiocEMVgEkn44rOEbi5jw2bj5agxK62dKmJ\nyA9VkqGcH1A7GzENGwDv7V+tO+zg74aFywnZUGOU+ECOEWyGvY3dpP8UnojVPX+NuG9OY+vxUkiS\nhMGJ4fj+dBmiw3QoqlRhMSro2cGE7SfLYNLJ6BRpa+liU3Oq+gocKbTjcKEdydFGhOllFFa4kWAx\nIEwnI8IY3GCxorIC0OshVT9AO48mBM6UuqCTgVKHhu42I+R6vouBZ8gBWUatLLAWxP6BUNpg9xh/\nPO9rEDhKPBHRxauwwo1lfW7DgFMO2HPOoVOkATf0ikZKjAlx4XpIAAyK5B3Aam9uxUXRP4zoYqRJ\nCvTivO4tje3uooU4w+4zD3vjilQXWWp7/VaPmj1zxnePNmF4FwtsYXps+rkYV3S2oGuUEcO6WNDR\n4smov7XzLJzutvX6qOlOqUY8c9mjOPPJUVzROQIfHjqHSrcGq0mHw4WVcGtAUqQBTlXgbLkLt/S1\n4e5B9U/jqD10G44PHwfzxCmIjzDA4dbw/x06h3OVbhwptGN/XiXCDTKMiozCSjf+dm1XXBITVufx\nPNO6BVY3JUh+uq6Edh72tjgApT+ewfgCv9Yyw05EdBH7udiFniXHMefX/SAldWlwe1mWoLKzKFGr\npEoyTOdnr12NHZ/iAo0SjwAz7EFoi33Y7YoB3cpOY1yfX7LmKTEmv9sadTIcLdDOt2DW7XDdMQsd\nR1xZ73b7citg1En1BnYUvBzNCJes4JXfdkfied0hypwqSuwqtp0shV6WsOtMOU6WOBs85ldxl+JF\n/XDggyMw6TzNx/vEhaF3hzCM72vDBEgYlBgOnSzhiY3HUeqov0VdUE3i/Tyr0wBIIXzY1ja7x9Qm\nAM9gfEIE1tqIfdiJ2j5VE3CqAseLHcgtc0GWgOFdLE2f9ofavKMlLnQtOwO4ege0fVu8MSZqL1RJ\nhnxeMCxcDd/E+xXqDHt1E1x/d+1+Bf73qS02g3XIBhjVwD4bgyKhwtX8AftTA2bg52OxSCw8DLcm\nYNLJ6N8xHDFhOugVCSadjM+yi/BTgR0AsPqWFFhN/m/3i+xuKJIES5BNuC82QgjPgGIB3H/ZoeCS\nkhNIjBxaa12EQUGEQcGEvjEAgCiTDt+eLG3wmNs69MOYskOYNfMmfHeyDCkxJsSG+28eH25QGqx3\nGqSAe6/4HXROiNBm2GVcJH3Yg+sqENys7fW7KAN2IQQq3RoMigydzOCnPSiqdCO33IUeNhMKKlww\n6mREGZWggl8hBFThaY5s0suwGOSQBM9uTeD702WodGnYnVOOUyVOHCl0QF/jj32XKAOOFzvx3w4m\nDEoIx7g+Npj1TfsDKoRg8N8GuVSB7Xku/Kb0FKAGloVT2mDTU2rbqq+XuqrWHQr/1tZJlfwMOtfo\nKRvrGCW+Md9/n1HiA+3DHvjh5Qs0MrRLFThd6kRSpMFvvdtwuAhWkw5pnSJqrStzqNidU46UGBNi\nzHoIIaBXfpkwya4YYHKWBFQOo06GowVm8pAh8KTxIMKG/QZhehmlDhWbfy5Bkd0NVRPIq3AjLlyP\nmWnxWPLNaZQ5VG/A/vM5O0ocKt7dnY8TJQ6UOz2f+YCOZtzevwPOlruQX+HG9T2tQd2DaEJAq7oe\ntKQSh4qj5+xwqgIDOpohQYIie6ptkV1FmF6G063BpQkYFBnfnSzFsm053v1/PzQB3aONSI7236oC\nAOxChkkL7KGOUSfB4W74e+WSdRhsPwFFljC0S/2DxyqyhG0nSjGia2Sd23imdQuwSby/ad3ADLs/\nAsE9yKhwqfj+VDlGd4tEuUuDLUyHMqcKVROwGJWAHhBVu2gC9me/OIlvT5ZhWBcLtp0ohSYAq0lB\nXLgedw+KRVKkEdFhbeflVro0ZBdWonOUEZFBfqjNwalqOJhXiQ8PnYNTFbAYFIxJiUK/ODM+P1wE\npyowulsUKl0qSh0aetiMtYLHIwUV6KD3DSrdmkCJQ4VBlmDQSdDLks9TTyEE3BqgVySUOVS8uzcf\nHx06BwCIMMhQJAnFVU2Fok0KfnOJFbIkoVOkAUM6RcCo8z+T4f99cBi5Zb5/eE06GaOSI3FDr2jE\nhuugaZ4/SpF1PKn25+Mfz+Hv23MBAHHhevSwmRCuV/CXq5IAAAkWA8x6GeEGBSeLHXj52xz8O6sA\nGw8X49qe0dh1phwPXZGA06VOdIo01PnEtZpLFThyzo6OEXos/uYMjhU5cEmMCdmFdhRUuDGkUwSO\nFHqeule6NVzfMxrjekf7PF1nkN9yVE1g0denEamXMDxvN+C+JaD9FMnz2Ve4VBTbVXx5tARny13o\nFGlASowJPWwmhOlklDo1RFZ91qrmySiUVt3A/nC6HEM7W9DZakCixQCXKiBLEipdalB1/kKo/kPf\n2q6DTVFsd8OlCXQw1/2drnCpKKhww+7WEGPWwxbA3zBNCJwtc+FsuQuKLKFjhB75FW6cLnEir8KF\nUcmRsIXpoJOler/rpQ4Vq3aeRXyEHvnlblzVLRIWk4KECAPWHyjEW7vyAAAWo4JSh4ook4K/XtMV\n1jAFiiRBr0gX1efVFH5HiW9soFdHgr3xfdhrNokP8TzskgSnKuBwa3X+7fWnzKkiwqB4m5L+cLrc\nm6n8+MdzqHBpiDAoKHGoSEsMR4xZj29PlsKpCrirWq4BwAOXd8TIZE9QY1QkPPq/Y/ixKuvsKZ8n\nULm5jw239o+BWa/ALuthDTDDblQkfPJTEfbmVqDSrWH+VZ3hVAWiwxTE1PO9rs+enHJsPVGK3DIX\njhc5ML5vDDqE6zAoIRx62fN+2hUDrJILXTv80tS95kj2NYUbFJRXJQa2HC3B0q2n4daAG3pa8eDQ\njgjXKziQV4G/b8/F37fnolOkAV8fL8WaPflYekM3KBK8ffaPnrOji9Uz2Fn1A7utx0txssSB9QfO\nwe7W0D3aiCiTDhnDEhBl0l2Qh3lCCJwudcHu1mBUPO/JofxK7DxTjp1nymE1KThb7kbnKANOFDf8\nWf66exSu7GrBqRIn1u0vwPGqfQYmhKN3BxPOlrtwotiJ7tEmzEyLRwUUGAJ8mG7SyShxqKhwqfU+\nAHHIehgDfIg3oqsFz35xCkbdGSRYDLiqW2St+iYQZJN4PwF7oAF/oOcIRR/2mg+Kay47W+5ChEFB\nmVPFD6fLvffLHSP0KHVqyC93YfWuPPTpEIYeNhP6dzRj24lSJFuN0CueBF+E0XPNyfy5BMO7WHyu\nWTUTYJ756QN7MclWE17fkYvXduR4YhdZgkurvp/xXH/G9IjCyORIDIg31/s3ue1EsA0YlBAOs15G\nt2gT7k2LhzVMh6Pn7PjyWCnmbjgBRQKSo0148IqOSLAYYArij0e5U/XeMAGeG6KCCjdsYTrkV7iw\n5WgJIgwK9uZWwGJUcHv/Dih2qIgwyLCF6er9ABxVT/oqXRrOlDpxqsSJY0UOfPJTESKNnj9IMWE6\nxEXo0d1mgs2kQ6HdjSijgmK7GzFmPcamWEPenMmpatAEsPib08gt82Su88pd+PmcAwJApUtFlEmH\nS8XzBzoAACAASURBVGJMEEIgp8yJZzafREeLAXa3htwyF/7x/VmYdBLsVYOy/HF4IjpFGnC6xIld\nOeXYcLgYo5Ij8ZsUK97dm499uRXQyYBOlmGveiIZZVJQbFcxfXAcypwqdpwqx+FCOwYmhOPnc3aY\n9TIWX5eMjhbPZ3P0nANdrEZUujQcK3Jgx6kyHDnnwL+zChCul9HDZsKAjuGwhelwqtSJ40UOfH+6\nDHa3wHuTL4Felrw3sieLHXh/XwGe2HgcJQ7Ve7F56IqOuLqH1fteFVW6cbTIgYIKF/bnVWLD4WIA\nnuZyTlXgD8MSMKJrZIN/tJKijFg4tisA4MNDhVi7vxAFFW7M/OAwAM8FqlOkASk2z8BjWWcrsCe3\nAnHhOph0MrpajTDqZO/5h3WxYGZaHM5VqugcZUS43vOY+e5BsQjTydibW4F/fJ+Lf2cV+JTj8qQI\n3NArGnnlLiRaPAFfsV3F2TIXdIqEcIOMpEhjo+qVqgm8szsPCRYDss5WoIfNhCu7RnofpmlC4IMD\nhTiUX4n4CAOGdbHgYF4l/rO/AOmD4lDicON4kRPRYTq4NYEOZs9r/3X3qEbdFLSmVgiaEFi27Qwq\n3Roe76Pz3OAH+AfcoJPx7p58rNmbD00AUUYFiZEGOFSBrSfKcKzI4f1O2cJ06BRpwPFiB4qrRpbv\n3SEMHcJ1eGnbGe/NnVL1B1YnAw9dkYBR3aIuzAuvUuFSUepQEReuxzm7iq3HS1HmVLHxSDEqXBpK\nHSp6xpi8D98GJYYjTCfj+9Pl6BZtDPgGWdU8N/UGRcLRIgc+zy7CiWInss5W4PYBHdAt2oRLYkxV\nwYYGWZIQppehCc91WidLiDAofuubqgms2n4KZllFWqcI7wPIM6VOOFWBIrsbV3aNhATg3v8eAQAM\n7GjGqG5ROFHswKkSJ6JMCmLC9PjXPs9n2SnSAKMiofj/Z++8A6Ms8j7+mXl2N72QkEBCL1IEEWki\nCIrYC+rZRT0b2FBA5VQUEUQs2FBUBHvvBT3vvDv1Pe8sZ0VREKRIbwmkJ5vdZ+b9Y55t2U0lSMD9\n/pPs88zMM888U379V2UzY3QHftpaQc/WSSht5szS7RV8s7GcI7pm8NflO1npCOTy0txsK/OhgdYO\ns6+Bl38sAAyh0LdNMpMOycMlBQUVPnKS3Ty3eDul1TZfbSgDDGH/1YZSFm8pp9rW7Kw0c/LGke3o\nkZ3I5+tKGdQulZmfrOeK91YHxyLZLbGVxmtrju+RyWWD2zZxZjQPNpZUs7Wsmi/Xl7G5rJo0x3TV\nWOOZb5zmsdhW7uPXwiq2lfk4slsGlw5qU2e764q8/FbkJTPRtFfuM3P4t51eXv2pkC2l1XhzB3Bd\nQY2c601m2AOMeU2T+CZkifBVg8dh2GNR7buIJJekqMrm7NdW0K9NMgPbpVJcZdM62cWITumkJlh8\nu7GMggo/HTM8rN7p5e+/7mRdcXXw/Ax0zWOFaIk3z+lpUltW+vlwZREeS3BG32zKqhU/binnssFt\nWVFQybz/beGpb7dR6Ve0STXBOl85swdJbhnc+7eWVXPnpxt5Z9kOerZOYnmbIVy58/UGvd+hndLp\nlpVIidfmto/Xc/Vf1wTvdWmVQJ/cZPbLTqRNipveDkNtK42tNRXVilU7qthe4cNjSf79Wwnbyqop\n9toc0TWDvDQPbkuworCSV5eUU+y1SXFLsz8n55LE5gb1MdktmfnJepLdkvJqxe2jO9IhIyGCZhzW\nMZ1hHUPaWq01t3y0ngnvr0Zp6JObRH5mMv9cUUiSS9ItO5GftlYEyx+3XyaXDMwlJ8VNpc/m522V\nXPDmSvq2SeanrRUMzE+hbaqbMb2yyElxI0Rs4avWmvJqxc/bKmid4qZzZkLEPruz0s9PWyt4e9kO\nVu0ICV7SEiz2z0kiO9nF1UPzGNk5nQqfzQcrilhRUMlhXdLZXu7jiK6ZVPkUualufLbm83Ul9MpJ\nok2qWQMD8uGkXlmsL/ayvKASn61ZsrWCYq9NfpqHz9aV8OHKIiCfC6q+a9D4p3kslhdUcc5rv3Lx\ngFy2lFVTWOEnyS1ZWVhFklsa14WsHpy9ZXmD2jy4fRqTh+WxZqc5v178YTtHd8/k+B6tWPTLDj5a\nVYxObo1gS/2NOfi1sJJ/rBSM6pLBisJKHtmaRmVD6LwG7hlSCNbsqGJjSTVKG0H1u7/sID/NQ8/W\niXz4axFfbihj7IGt6ZoryUs0vNf64mr+sbKI7eU+UjwWX6w37gVdWiWwZqeXVokWOx06JmB+npNs\nzrqCikj6aXC7VEqqbeZ/vSXiXqpHUlataJXkCp5vvxZWcnqfbB753xZWFFZR6rU5t19rvN7qRmnY\n7z6mkzNMmn+sLCbFIzmkQxoaw//N/3orPzr8UF6amwv653B6fn7MtoRuLm/4PYxNmzbFvB7ImZmX\n5uGlHwt44+dCPJYgPcGivFoZrawUtEl181uRl4sH5HJ4lwwKKnxsKK4mxSOZ+8Vm1hdX06t1Eh0y\nPGwu8wU3q4C0pE2qm/1zkvhkTaQpVYBhPW6/TNyWIDvZhUDw1YZSclM9fLy6OFg2I8Ei2SPpk5vM\nwe1TGdI+DZ+teWVJAZmJFp+vK6Wgwke/tiks3VZJp0wPKwqN5nRoh1TcUvDjlgoyEi3SEizWF1eT\nleSiuMrPkPZpHN4lneUFlSzbXonX1rilYGeln2SPpENGAif2aIVfab7aWMbzjvYEYEyvVkghWF/s\n5Yy+2eSmuPFYMkpI8N2mMr7eWMbFA9rgtgSlXptkt0QII9l9dUkBm0oNkTKiUxon9s3jnR83s2Zn\nFUVVfq45JI8h7VJxSYFfQUGFj+83l5Od7GL2vzeSneTi9L7ZeCzBNxvL6dwqgUM7ptE+o/5NZWel\nn9d+KuC/a00gkI6ZCbgtwbYyH9nJLi4f3Jbc1LoJ/vXFXraX+5jxyQZO7Z3FptJqvtlYhksK9stO\npFWSi/REF50yEshJcbG1zMfBHdIapBWrCyXOQV1Q4eO1nwpZW+SloMJPj+xE8tIMU7utzMcT324l\nP83DmF5ZdG6VQF5aw3LDllfb/LK9kqXbK0n1SD5ZXcLaYpNyKMUjgyZz+Wnu4PfLSLDolpXIsftl\nkpXsIivJRWaii6XbK/h4dTHfbDRMVGGFP2glsrPKz4ZiLyVeG7cl2Vnpp0urBH7b6SUnxY1LCjaV\nVtMhw8MBbZLxWJJ3lu0AYNygXP65spjsZBd92yRT6VMUVPhQGv5vTQkD8lIYkJ9CiddmZWEVB3dI\npUd2EhtKqhneMY3MjHRKS81G7/Urlm2v5IUftvNrYRWJLkmvnCR65yRR7Vcc3CGNnq1/3yA9Wmse\n+2orG0q8TB/VAc+m31C3T0JOuAVx4JB663v9itJqm6wkM+9qfvvvNpVR6rXp2TqJ9cXVJLiMBjQ3\nxU2p144w//t5awXJHiMAKvXabCwxBO3gdql4LMHKHVVkJbn4YUs57dMT6J+XwvCOaXRuFZ1mprjK\nz9tLd5DikQxulxrxnHKHGX/j50L8tsYljXVMomNZ41MwqF0KHTMSOKRDGikeyfeby1lfXM2SrRVs\nLPEGCXiAgfkp9M9LwW8bjc6Q9mYvWbmjiuwkF8sLKtlYUs0PWyrYXFpNoksiJfRrk0K+I/Cr9Cs+\nWFEUlHzXFRugV+skumYl8NWGsijCIDfFxbZycy3JJRnULgUNbC0zeZ2LqmzapLqZOrIdT367jYxE\nizapHkq9Njsq/awsrGRohzTGHpgT3GcDVmQ5yS4sKfBYgsIKP/nppt6WMh+dMhKYNqo9GYkWHksG\nNZQ1hVJlXpt3f9nBmz8XRmk9euck0a9tMraCP+2fRYontM9rrdlRaYjNWNqigDuSYdT8JFiSYq/N\n1e+vplWSixOdTAd9c+vWJCit8YUxa1KYd11f7OWXgkoKK/y4pMCnFB0c67n/rC3hnH6t6ZCREBTI\nbyyp5oHPNwXHtdrWjOqSzuFdMijxGgGR0poEl6TSEQpV+GwOzDNC3RmfbGBUl3S8fk1GosVbSwvZ\nLzuJwgpjvWAJwYaSavrmJlFQ4WdHpZ82qW52VPhpnexmcPtUhnZIJXX6ZeR6iyJyrqsP30K/8Uyj\n87Dr7VtQU8cjTj2fjLMuDu5r6uUF6I/fb1R79rXnI297CJHeCvXWc5CQiDzhzLrrTLkQinY06jlf\nbyjjv2tL8NqaH7eUk5/u4dfCKvq3TWbxlgoG5KWwuayajhkJDGqXSresRJLdki1lPixhtMeWgGpb\nIwR4rIYpXFbvqOJ/G0oZ0yuLtUVe2jtnUU14/YoVhWZebXjjNcas/ifpj73W4PcLh9aacp9i6bYK\n7vj3Rtqle9hYUs2R3TLYPyeJhd9sC2rY/M7fdukeurRKINktObNv6yhLOq01xVU2G0sNTffz3Xdy\n+EFdcJ12QYPG4LN1pSzeXM6EoW3pUoepdzh8tuKzdUYD+fjXW0lJdHNu3yw2ODnoR3RKRwrYLzsx\n5lpeXlBJmdcmK9nF95vLKar08/7yncH9ZnTXDIqq/PTKSaKg3M+KwkrW7AylOjSWQT78CjplJjAo\nP4UPVxZRVq04v38OQ9qnkp/moaL697MA01rzvw1lpH//KT3fe7zBa6Cwwsdn60r5ZXsleWke8tLc\nbC/3kZ3sZnNpNa2T3VS/8gQnuLfhmTqn0f0qqvIz7V/rgpYBA/NT6PfpK5xwYD7uU8bWW//Nnwt5\nbvH2oOAyIMi/etkrHDnrtlrr2ePGADRoHEq8Ng9+vslRbpmzsVNmAlLAmp1eDm6fSnm1zfKCKnxK\nk53kosRrk5fmJtVjsbygktP6ZHNAm2RSPRZfbSijXbqHJLekc6sEWiWaczHcmsevDP+XleRiRWEl\nB+WlIBxBfLVtYj/Yyuz/Oyr9aK1ZtcMIUZ77fjsrCqs4slsGR3XL5J+rivjXqmL2a+Xh5P8+yaGz\nZiJk8ypKP1tbwj9WFrHw/KEx7+/zDHs4tNaUem1cluD95TtZs9NLhwxj/gnw3OLtFFb4yUszJoAe\nlyDBkhzTPZNje2Tyxs+FlHlt2qV76JaVSG6qO0rT6PUr1hV76dIqEQFsLqvmme+20yc3CZ/SrCio\nDDIJQzuk0S0rkf55KXj9KkhkNRZLt1Xwa2EVqR5JbqqbSp+iyq/5emOZw/gIvt9UznebyzkoLwWP\nJWiV5CIj0cItJUluyYqCSt5zTMsH5acw9sAcMpNcpCdYzeqT5He0W4kuSVpaWpDYqA8lVX6SPc3b\nl6Zi5ifrqfApNpZUM+XQfHJS3A1mjvcWlFUbIUEARVV2UAu+s9LPmp1VfL6ulM1lPraVVQeZE4Dz\n++dQ6rXx2SaORH66h6JKP6t3VnFop3SGdUxDYBghS5rNc3OpDwF4bUXXVolBqfpvO6tIT3TVKfSo\n9Ck+XLmTNTu8SKfLH68uoX26B+UwGJaUuCQopSmrVmiMr9qA/JSgFH3Vjiq01vztV+P/WOU3/kY5\nKW5aJ5u10LlVIpaEokobjyXYWeVnc6mPH7aUgzYmdNnJLraV+8hy1o/bEkEhtMeSJLgEWU5wICkE\nUsC/15SwvKCSGaM7kOy20GtXomZdi7z8BsTA4c35aZuEoko/f/+1iK3lxgqoe1Yi7dITKK222VxS\nzdLtlXhtxYC8FHrnJLPKIZSr/Aq3JemZnciKQuOqkejkqP1+UznVtuLWUR0o99nkJLvJT/dQUO6j\ntNpm/5zkOq0mArFKkt0WZV6bz9eX8s3GMqOVKqiMmJPtHcuUtESLIe1S6ZWTxJqdXrq0Sojac22l\nDcOojPtNkstY3QQYd6Xh77/upKjKzIF+bZPJS/OwdFsFrRJdDOqaS3lZGUprbGX8A2vuWwUVPrLr\nsb6qCVtpqvwqgoGueb8pViaFFT68fk3bNDe2ivTnbS5sK/PxzrJCir02P2ypoHWyi3MOaE2VX1FY\n4ad/Xgrrir1sKfWxemcVXzuCUAj5xioNbVLdHJSXQtdWiWwpq0Zp+GpDKRU+hSUFfmUYm4AgPsll\n0iBNGNqW9hmeRscFWepYMZVU+fl8fRluKejVOonDuqTTNs1NcaVNRpIVRQfUFJTEImzV+6+i332x\n8Qz7ts2omy9DnHIeGWdfEmLYX5qP/uSDxjHs15yNvOtJRHIK6u0XwO1GnnhW3XWmXARFhY3ud018\ntKqIv67Yyam9sxnRuXZf3N8b9uTzoKxkl98vHIUVPp5bvJ31xV5yUzyMPbA1qR6ryW6a9rgxiONO\nQ/7pz83Wx/rQGHqtNvhsRXm14o2fC/lifSmtklx0ykygTaqbMq9N16zEoAtDQElUUOFHAN9vLicr\nycXobhmk1rIH/l5Qf3sD/dZzzTpH7HFjoEsPrKn3Nqm+dvbJgPWCPW4M4oQzkaecV29dpQ1d7paC\nLWU+El2SjJ++RC+4p853bAzDXvN5Oyr9tZ6Bflci67YZwXldsQR2N2qeqVpr8Fairj4b+fjbzc6w\nB5Bfi4Z9nzGJbwiEEEFJ3Jl9W0fdP7xLBmVem02l1SS5jdY5HJcOrNs0DkwQkvAUGu3TE7jl8Pb1\nd24XTNr3z02O6b80MuwQPLwec9aRndM5df8spBC71dff5ZicNxa7W4Kqf10K3XohZP3E6q2jOuzW\nvrQE1DwQw+dEqyQXrZJSGZAfCuizvdxHYYWf9hmeBh+mljMNPJbR5sZCQzbrJLfklN7ZEdcuH9yW\nBJcM+jbltMpgU0ERaQkW6QmWOZzCGJMjumZwRFezRsYemEN5taLCZyOFYF2xlwqfEcR9vq7EiY/h\nwtYaW2n2y07CZyuS3JL8NA/byn30zkmiqMpmp6PVs5xYDAGCZWelH1uHmJGsJIvpozqEGArHH1X7\n/Y2J8bTbkJnk4ux+0XtmALbSfPpbCescU0KPJbjnmE5U+XUwMFRAaLO+uJrsZBfHdM+kX9vkKK18\nQ+ePECI4XqkJFkd3z+To7sZVpdRr3JjSEyxsrWMyarVZUVhSYCGoWSUwXy2M2WRNBExKA+8jhaC2\n87wuv/XaYElRK7MeuN8UhLsSSGv3zLbcVDfjHZP4Sp/i6e+28fdfi9hW7iMzycU7y3ZQ7LU5pXcW\nB7ZNYcLQvJia0Fi4aEBkfuOiSqPpLqjwsbbIy+humU22cgo/W8cPjr7fvhY+s0GCmCYHK6sl6Nyu\n+rCLGG3GQjO5EI3ulhnhWrYvIzvZzeRhsYnwPxLcliQzSXLpoDb1upoAdMhICNLh/fNSdnf3GoHd\ndCrvgv5UCEFTt28pjMUWEFQ+NXg3acJ+IIWo8wxsleTGlbX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bmAMOQR53mjlE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\nIhKEVLCLiIiIiIiIBKH/H6/xCaDX2CRlAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1185424a8>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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gydiPFMu+d3edX7aK01Z3EwAAtHANusr6xIkT9cwzz6iiokKdOnXS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\nwAIEcgAAAAAALEAgBwAAAADAAv8fok3ZcmhgfWoAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10ff2e8d0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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jx83YsWPNnj17qnMXsOD77783v/zyi3nkkUfc89544w2TlpZmjDFm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\nrB0WxKFTAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x111aad0f0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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CNLrs6JiOlJqaCgCoq6sLx/rdd9+hpKQEl156aThhNQwDUkqYzWYsXrwY11xzTXgfb731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BPOdJxjK1YS0qCTiunocUrBCgbJo2lFgoyTL7SdCwCAMc7omvGrP1i/C9P19D6prlNzq7ySBJl0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\nSiFramrCpk2bcNttt+HWW29FUlISPvjgA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"text/plain": [
"<matplotlib.figure.Figure at 0x1167a3048>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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MmjRpoqNHj2rjxo267rrrlJKSouzsbKWlpSk7O1s9e/ascP/jBwpUWFho8VTC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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1171dea58>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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"text/plain": [
"<matplotlib.figure.Figure at 0x1119cf198>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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YdOzYEUlJSbDZbOjRoweGDx+Ob7/9Fpqm4dZbb0VMTAw2b97sldfGPuxERERE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\nTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1153f8128>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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YgEAOAAAAAIAFeOwZAADn4HnjAACgthDIAQA4F88bBwAAtYQh6wAA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\nAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x118a59cc0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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"text/plain": [
"<matplotlib.figure.Figure at 0x117bf6ef0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"figsize(17,5)\n",
"\n",
"for s in dfs.keys():\n",
" ####################################################\n",
" # Pull out data\n",
" data = dfs[s].loc['2015/12/28 07:00:00':'2016/12/30 00:00:00',['PIRDiff']]\n",
" std = dfs[s].loc['2015/12/28 07:00:00':'2016/12/30 00:00:00',['PIRStd']]\n",
"\n",
" \n",
" ####################################################\n",
" # Threshold based on a multiple of the standard deviaton\n",
" sd = np.std(data)[0]\n",
" thresh= sd * 4\n",
"\n",
" \n",
" ####################################################\n",
" # Graph normalised PIR against standard deviation s\n",
" data.plot()\n",
" plot(std*6)\n",
" title(\"PIR, rolling std. dev @ %s (%s)\" % (id_map[s], s))\n",
" #ylim(-2000,2000)\n",
" \n",
" \n",
" ####################################################\n",
" # Plot histogram to check data is normal\n",
" data.hist(bins=400)\n",
" title(\"PIR Histogram @ %s (%s)\" % (id_map[s], s))\n",
" axvline(x=thresh)\n",
" axvline(x=-thresh)\n",
" xlim(-thresh*2,thresh*2)\n",
" \n",
" \n",
" ####################################################\n",
" # Zoom in on the right tail\n",
" data.hist(bins=400)\n",
" title(\"Zoomed PIR Histogram @ %s (%s)\" % (id_map[s], s))\n",
" axvline(x=thresh)\n",
" xlim(0,)\n",
" ylim(0,5)\n"
]
},
{
"cell_type": "code",
"execution_count": 100,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.axes._subplots.AxesSubplot at 0x11b9945f8>"
]
},
"execution_count": 100,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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T7O5HREREREREZEirBXzr1q1Yu3YtnnzySZSWluLMM8/E0KFDAQA1NTW44oor0L17d5x6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TEw2mPyzzTRBuQQcPY5lvG3dtN94uekqaK/E5kV5+54ODP89w9+BVRWw7h6GbKBLfwS2Gd8PPdm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\nATXgIiIiIiIiIiGgBlxEREREREQkBP4LHLIofUddc6wAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x117fa9358>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"roll = pd.rolling_std(dfs['42F2ABD1'].loc['2015/12/30 00:00:00':'2016/01/01 12:00:00',['PIRDiff']], window=100)\n",
"dfs['42F2ABD1'].loc['2015/12/30 00:00:00':'2016/01/01 12:00:00',['RSSI']].plot()"
]
},
{
"cell_type": "code",
"execution_count": 101,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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CQ0ObrKOZQN6/fz9paWmkp6dz9uxZLBYLy5cvx8fHh9LSUnXq7e0N1LaIi4uL1eeXlJRg\nMpkwmUyUlJQ0Wd6c5t6U8vLyNti7S2c0GqWWZkgt2q0DpJaWGI1GIiMjL7qeZrosHnzwQVauXElc\nXBxPPfUUYWFhPPnkk9xwww1s374dgO3btzN06FAAhg4dyg8//IDVaqWwsJCCggJCQkLw8fHBw8OD\n3NxcFEUhOTmZYcOGOXDPhBDCPpppIbdk0qRJLFmyhKSkJPz8/IiOjgYgKCiIESNGEB0djZOTE48+\n+qjanTFr1izi4+PVYW9Dhgxx5C4IIYRddEr9WDEBQH5+vqNLALT3dUtqaUortWilDpBaWhIYGGjX\neprpshBCiM5OAlkIITRCAlkIITRCAlkIITRCAlkIITRCAlkIITRCAlkIITRCAlkIITRCAlkIITRC\nAlkIITRCAlkIITRCAlkIITRCAlkIITRCAlkIITRCAlkIITRCAlkIITRC83cMEUKIy2Gz2cjIyAAg\nLCwMvV777U/tVyiEEJcoM/MAo0c/z+TJFUyeXMHEiYvJzDzg6LIuSgJZCNGh2Gw2YmISyMxcjsUy\nBYtlCjk58cTEJGCz2Rxd3gVJIAshOpSsrCzy8ibQON705OWNJysry1Fl2UUCWQghNEICWQjRoYSF\nhREc/B3QsHvCRnDwNsLCwhxVll0kkIUQHYperyc2NpKBA5/E3X0j7u4bGTBgLrGxkZofaSHD3oQQ\nHc7Agdewc+ebpKSkABAW9qLmwxgkkIUQHZRer2fQoEGOLuOSaP8jQwghOgkJZCGE0AgJZCGE0AgJ\nZCGE0AgJZCGE0AgJZCGE0AgJZCGE0AgJZCGE0AgJZCGE0AgJZCGE0AgJZCGE0AgJZCGE0AjNXFyo\npKSEuLg4ysrK0Ol0TJgwgTvuuIOKigr+8pe/UFRUhL+/P9HR0Xh4eACwadMmkpKSMBgMREVFMXjw\nYAAOHz7MihUrqK6uJjw8nKioKAfumRBC2EczLWSDwcAjjzxCbGwsixcvZuvWrRw7dozExEQGDhzI\n0qVLCQ0NZdOmTQAcPXqUlJQUlixZwqJFi1i9ejWKogCwevVq5syZw9KlSzl+/Dh79uxx5K4JIYRd\nNBPIPj4+9O7dGwA3Nzd69uxJSUkJaWlpjBkzBoCxY8eSmpoKQFpaGiNHjsRgMODv709AQAC5ubmU\nlpZisVgICQkBICIiQn2OEKJjs9lsZGRkkJGRofkbmjZHM4HcUGFhIUeOHKF///6UlZXh4+MD1IZ2\nWVkZAGazmW7duqnPMZlMmM1mzGYzvr6+6nJfX1/MZnP77oAQot1lZh5g4sTFTJ5cweTJFYwe/TyZ\nmQccXdYl0Vwgnz59mtjYWKKionBzc2vyuE6nc0BVQggts9lsxMQkkJMTj8UyBYtlCpmZy4mJSbii\nWsqaOagHUFNTw/vvv09ERATDhg0DalvFpaWl6tTb2xuobREXFxerzy0pKcFkMmEymSgpKWmyvDnZ\n2dlkZ2er85GRkRiNxrbYtUvm4uIitTRDatFuHeC4WtLT0/n111to3MbU8+uvEzh8+DDh4eHtXtP5\nEhIS1J9DQ0MJDQ1tss5lBfLZs2fR6XQ4OztffnXNWLlyJUFBQdxxxx3qshtuuIHt27czadIktm/f\nztChQwEYOnQoy5Yt46677sJsNlNQUEBISAg6nQ4PDw9yc3Pp27cvycnJ3H777c1ur7k3pby8vFX3\n6XIZjUappRlSi3brAMfVUlVVpR7Ub0hRFKqqqhz+/hiNRiIjIy+6nl2B/NFHHzFy5EhCQkL4+eef\nef/999HpdDz11FNqQP5e+/fvZ+fOnfTq1YtnnnkGnU7HAw88wKRJk1iyZAlJSUn4+fkRHR0NQFBQ\nECNGjCA6OhonJyceffRRtTtj1qxZxMfHq8PehgwZ0io1CiG0KSwsjODgxeTkTOZcK9lGcPA2wsJe\ncGRpl0SnNPexcp7HH3+c5cuX4+rqyvPPP88999yDh4cH69at4/3332+POttNfn6+o0sApNXTEqlF\nu3WAY2vJzDxATEwCeXnjAQgJSeLdd+9n4MBrHFJPQ4GBgXatZ1cL+cyZM7i6ulJeXs6JEycYPnw4\nQKM+XCGEcKSBA69h69YXyMrKAmDEiLeorKx0cFWXxq5ADgwMZOfOnRQUFKi31T516hQuLi5tWpwQ\nQlwKvV6vZpRer7lBZBdlV8WzZs1i69atZGVlMXXqVAD27t2r7rgQQojfz64+5M5E+pCbklqap5Va\ntFIHSC0tadU+ZICMjAy+//57ysrKeO655zh06BAWi4WwsLDLLlIIIcQ5dnVZbNmyhVWrVhEQEMC+\nffuA2gHgn376aZsWJ4QQnYldgfzVV1/x0ksvMWnSJLWjvGfPnpr5ei+EEB2BXYFssVgaXcgHwGq1\n4uSkqTOvhRDiimZXIF933XUkJiY2WrZly5Zmz8UWQghxeewK5JkzZ7J7927mzZvH6dOnWbhwISkp\nKTzyyCNtXZ8QQnQadvU5dO3albfeeovc3FyKi4vx9fUlJCTkihx4LYQQWmV3J7BOp6Nfv37069ev\nLesRQohOy65AfuKJJ1p8bOXKla1WjBBCdGZ2BfKTTz7ZaP7kyZN89dVXjBo1qk2KEkKIzsiuQB4w\nYECTZaGhoSxevLjRxeSFEEJcvss+Kufk5ERhYWFr1iKEEJ2aXS3kzz77rNH8mTNnSE9P18R9qoQQ\noqOwK5Ab3jQUwNXVlbvuuouIiIg2KUoIITojuwJ57ty5bV2HEEJ0ei0Gcv1tUC5GLr8phBCto8VA\ntmd8sU6nIy4urlULEkKIzqrFQI6Pj2/POoQQotOTi1EIIYRG2HVQr6qqio0bN5KTk0N5eTkNb8Mn\np04LIRzJZrOpx7zCwsKu6Iue2VX56tWrycvLY8qUKVRUVDBz5ky6devGnXfe2db1CSFEizIzDzBx\n4mImT65g8uQKJk5cTGbmAUeXddnsCuSMjAz+9Kc/MWzYMPR6PcOGDSM6OpqdO3e2dX1CCNEsm81G\nTEwCOTnxWCxTsFimkJMTT0xMAjabzdHlXRa7AllRFDw8PABwc3OjqqoKHx8fCgoK2rQ4IYRoSVZW\nFnl5E2gcY3ry8sbbPWxXa+zqQ7766qvJyclh4MCBXHvttaxevRo3NzcCAgLauj4hhOg07Gohz549\nGz8/PwBmzJiBi4sLlZWVzJ8/v02LE0KIlgwYMICAgP8ADbsnbAQHb7tiT1i7YAv56NGjBAUF0b17\nd3WZt7c3c+bMafPChBCiJZmZB4iJSeDo0SHodFHAH3BxMdC3bxKxsVOv2JEWFwzkZ555hquvvpox\nY8YwatQojEZje9UlhBDNangwr/ZLvg34icDAd9iyJRYnJ7vvTKc5F/wY+eCDDxgzZgzJycnMmTOH\nd999l927d1NTU9Ne9QkhRCMZGRkcOjSOc/GlB4ZRUDCVnJwcB1b2+13wo8RoNPKHP/yBP/zhD+Tn\n55OcnMy6dev44IMPGDVqFBEREYSEhLRXrUKITsxms5GY+CVvv/0fzpyZ7uhy2oTdHS2BgYFMmzaN\n+Ph4Fi5cyE8//cQLL7zQlrUJIQRQ22d8221vsGDB9xw7tgnYRUc6mFfvkjpbDh48SHJyMikpKXh4\neDBlypS2qksIIYD6PuPP2LdvFvAbtbE1G3gKGANYCQ7+itjYqCv2YF69iwZyUVERycnJJCcnU1ZW\nxvDhw/nzn//Mdddd1x71CSE6ucTEL9m3bwyNv9CHAn8B0nF1/b/ExU1l4MBrHFNgK7pgIL/yyisc\nPHiQsLAw7r//fm688UZcXFzaqzYhRCdns9mIjf0GRXkQCAfWAZOoDWc9EE7fvqsZNOihll/EakVX\nVVX7r7ISncWCvrLy3Hwzy9DrOfXyy+2xi41cMJDDw8NZuHAhJpOpveoRQmjU2bNnWbJkCQkJCZw5\ncwZXV1cURUGn06HT6fD29sbZ2Zmamho8PT3V5V26dFF/7tq1a6NuBZ1Oh7+/PzqdDkNNDb27dcPp\nzBlO/vYbrlYrLmdtXJcXzDBW4clJvPDEk5vxogdeWOjpk8cov0C6zphxLnTrQlVvseBVWQnV1Sge\nHo3+2Tw9UTw9Gy/39MTm4YGtRw9sPj4OeY91SsNraXYge/bsYe3atSiKwrhx45g0aZJdz8vPz2/j\nyuxjNBopLy93dBlAx6ulqqqK+++/nz179rRSVR1TfYjq9XqsVk+gB+CKG9V4oseLs3VTHZ6cxQs9\nntTghQ1PbHgBnljxQqmbt9U9XqPO1/5cuwygAgOVGKjAlUqMVFBBJX2owJ9K/ksFvanEhQpyuGlc\nL27+w23g6VkbsO7u50LW0xNPf39O2Wzg5gY6nSPfSgIDA+1a78odQX0BNpuNNWvW8PLLL9O1a1cW\nLVrEsGHD6Nmzp6NLczir1cq//vUv0tLSUBQFs9nc6PrWiqJQVlZGRUUFiqKgKApnz56lpqYGRVE4\nc+YMZ8+eVdetrq7GarWiKAo1NTXqVba0+znvA9Sf4HSVIwtpUzoU3FHqQlGpC0WlQThSN1XU6bl1\nbLVTRcFTseFls+GJBS9y8aSGavR1oVkfnk4N5p2oUJc5cwodx3Gpm3dqsI4TlQRQgZlKrqICZ6rR\nA/lAELAE+B/gPmAntf3FAOnUjqiIY85Hi7Fc4CCeYjSCRhoS9uqQgZybm0tAQIB6/Y1Ro0aRmpra\n4QPZZrORkZHBgQMHOHr0KFD7yZyfn4+iKOzf/1+2bCkAdMBZan/91gZTG1ANONf9q+da9zicCzNr\ng8fPP1GofjiS0mCqq1uuq5tvGNjtFd7VwPktlfO3XV/r+cubW9Zw+fktsIbLz1/n3Lp6aoOxcYtR\nadSKbNzqbG55w1ZnbYvTAxuWJsF5/tRZnS/BiSONHndqsN5xKnGjgkAqqaQGb+AU0AUwAea6aUP+\nQGHdtDk9gePAYMBQt+wocBPQH9gL3FD3WMMRFaDTbSImZvQVP6KiOR0ykM1mM76+vuq8yWQiNzfX\ngRW1vb179/HYYys4dqyc2j9+L6ASyKA2AGqoDdZudY83DGInasOqpZBsLrQu9tilhvH5yy42f7Hn\nNLfsMPAzl8MJ6lqVrTt1AaqACmp/WxeaVqDjeKNlugZTXd1yPRU4UQUoGDgXdlAb//W/jzN1VZyu\nq6L+FOTqunXdGzyvR90WnWj6wdOWgoHt1B7Eqx1RATZ69zYwaVLHvDlGi4Fs7/VEr+SB2NnZ2WRn\nZ6vzkZGRmrleh4uLy0VrsdlspKen8+2323n33XSqq4Oo/aPqSe0fXj61LcJ8av+M+9Y9s77l0nDq\nxrmWjvm8LZ06b76ywc+W8x47Uzc9Wzetb3FbOPcB0LBFbTtvCvYHclOu/P6QbG6ZnvpQvHhwVgIl\ndq53/rvXsvqW9oXmoW0C8wYgl9p3waduG/XTU9T+Xk+dt+2KuuWHafxtq95Rav9v/j9q/79C7e/1\n/wHHqO2yWAc8xrnWsYKb2yesXfss3t7eF63anr+h9pSQkKD+HBoaSmhoaJN1Wgzk8++VZzab0el0\n6kEVRVHw9fUlLi6uFUtuHSaTieLiYnXebDY3O1KkuTdF6wev6u8f9ssvR3j77W/Iz/egNkDHUPsf\n+SZqW0X1X/+ON5hq5S4KCu7UB975/Zo06MtsuI59gVrDxULQlwr0dS1JAwXo6r6W1y87f752erbF\nk1p/X5fFpS271EC+0DoKjVvMzdVf71dqA7eMc91XDb9dOXPug7chlwbrNPf+VdRt5wC1vz2o/b6w\nH5hB7TC3d4CJODsfJCgojfj4+YSE9LLr71RrB6MjIyMvul6LgRwfH6/+/Pnnn1NRUcHUqVNxdXXl\nzJkzfPbZZ5r69GkoJCSEgoICioqK6Nq1K99//z0LFy50dFm/W/0lB3/5pR/V1duBq4GHqf1adzGj\ngA11PyvUtlycGkyrOdfScQIUdCh1/ZPudVNr3dSlQb+lS4PlNXXhWD+11gWtpe5o+9m6/s0aztQF\nYv1X7HN9l/omUzN6flPnDc2EpoHKuq/t1kZ/+Oe3rJ2Bcpq2+BVqo7wjXjTrUkL5/NBs2N3hS+03\nLCcgGSjFy8sLT0+PCwx7s9YNe/O0a9gbQFBQEDabjfz8fHS6fMaMmYrBYECv9yMsbHqH7DduyK5h\nb7NmzeLv+YI7AAAgAElEQVSDDz5odFk7q9XK7NmzWbNmTZsWeLn27NnD3//+dxRFYfz48Vf8sDeb\nzcbEiYvJyVlO7dHn64EQ4GoM5OLFd3hyBi+O4YlvXfidwAsjnhTVTa/Gix114Vhd1/K0Npg2PGhU\ngxsKlY1airrzWpL1U12DeX1da/Tc9NxjtX2cVZzfVm/vERnXAfuoPQ1XtKThsDeDwYCTkxM9evRg\n9uzZTJ06tdnLXGqtVaqVWlp12Jubmxu5ublce+216rJDhw7h6up6edW1gyFDhrB06VJHl3GOosDZ\ns+iqqtA3PGuowbThcpeaGrqcPFm7vLKS8oICVuyvxIPBeFKMF1vVVqeBairwohJrg9ajS10g1rcq\ni6ikmAqGcZJjnHHK5arrAjntZOC0Xo/FYOC0wYDFYKCwspIiiwULtVHZsYa9QcMgTkpKon///pf1\nKlr5g9dKHeL3syuQp06dyptvvskNN9yAr68vJSUl/Pzzz8yaNaut67ti+SxYgEt6eqOzh9Dra88S\nanBmUJOzh+p+pmtXaoxGdflvJ07w1h4wnw2uG7u5hwqcqWA5ZzkE/A24GThAjx7/lwkTgune3bfR\nsLf6Fs+EcTMYPHiw3V//tPQHr6VahGhtdp+pd/ToUX788UdOnjxJ165dGT58OEFBQW1dX7trrS4L\nw6FDoCiNghfn5o42N+/84LFarYwb9zKHD68GYqg9+vxu3aN3AmcJDExg0aK7mDTpzlbta9NSCEot\n2q0DpJaWtPqZekFBQUyePJmysjK6du162YV1FjV9+158JTs1vn/YTBRlIDrd/6IoE3FyOoK//wc8\n++z9TJ68ssMf9BCiI7MrkCsrK1m9ejU//vgjTk5OfPzxx6SlpZGbm8u0adPausZOraX7h1199Y/E\nxXXFYOhGWNgjEsRCdAB2/RWvWrUKDw8PVqxYoR5Z7d+/Pz/88EObFidqT9DJy5vA+fcPO3FiGgaD\ngUGDBkkYC9FB2NVCzszMbDLsrUuXLpSVlbVZYUII0dnY1bTy8PBo0jleXFwsfcntICwsjODg7+iI\n9w8TQjRmVyBPmDCB999/n6ysLBRF4eDBg8THx3Prrbe2dX0CeOKJIfTpMxN39424u29kwIC5xMZG\nSleFEB2MXV0Wf/zjH3FxcWHNmjXU1NSwcuVKbrnlFu644462rq9Tqx9dkZc3AUW5g4CAz4iJuZVJ\nk16UMBaiA7poINtsNrZv386tt94qAdyOmo6ugLy8KaxcOa/DXnpQiM7uos0svV7PRx99hPMlnNQg\nfr+9e/eeN7oCQE9e3ni7L40qhLiy2PW994YbbiAtLa2taxFCiE7Nrj7k6upqYmNj6d+/P76+vuql\n8gDmz5/fZsV1ZoMHDyY4+DlyciZz7nOzfnTFC44sTQjRRuwK5Kuuuoqrruq4N4TUIr1eT2xsJDEx\n88jLGw9AcPB3xMZOlQN6QnRQdl9cqLPQ2vWQ6+8QArVjkh0Rxlq6SIvUot06QGppSatfXCgjI4Pv\nv/+esrIynnvuOQ4dOoTFYpGTE9qYXq9n0KBBji5DCNEO7GpubdmyhVWrVhEQEMC+ffuA2hsIfvrp\np21anBBCdCZ2BfJXX33FSy+9xKRJk9SvzD179tTM13shhOgI7Apki8VCt27dGi2zWq3N3lNLCCHE\n5bErkK+77joSExMbLduyZQuhoaFtUpQQQnRGdgXyzJkz2b17N/PmzeP06dMsXLiQlJQUHnnkkbau\nTwghOg27+hy6du3KW2+9RW5uLsXFxfj6+hISEiLjYYUQohXZ3Qms0+no168f/fr1a8t6hBCi02ox\nkJ944gm7XmDlypWtVowQQnRmLQbyk08+qf6cm5vLjh07uP322/Hz86OoqIitW7cSERHRLkUKIURn\n0GIgDxgwQP15zZo1vPDCC5hMJnVZeHg4b775JnfffXfbViiEEJ2EXUflzGYzbm5ujZa5ublhNpvb\npCghhOiM7DqoN3ToUN555x3uu+8+TCYTJSUlJCYmcsMNN7R1fUII0WnYFciPPfYYGzduZNWqVZjN\nZkwmE8OHD+f+++9v6/qEEKLTsOueert27eL+++/noYceao+ahBCiU7L7nnouLi7tUY8QQnRack89\nIYTQCLmnnhBCaITcU08IITTCrkCW0RRCCNH2LhrINTU17Ny5k4yMDMrLyzEajQwcOJDRo0fLBeqF\nEKIVXfCgXlVVFS+++CLr16/HYDAQHByMwWBgw4YNvPTSS1RVVbVXnZ2OzWYjIyODjIwMbDabo8sR\nQrSDCzZxN2zYQJcuXXjllVcanTp9+vRplixZwoYNG3j00Ud/dxHr16/np59+wsnJie7duzN37lw8\nPDwA2LRpE0lJSRgMBqKiohg8eDAAhw8fZsWKFVRXVxMeHk5UVBRQe2upuLg4Dh8+jNFoJDo6usnt\np7QuM/MATz/9T3JzxwEQHLyY2NhIBg68xsGVCSHa0gVbyKmpqTz22GPNXsdi1qxZ7N69u1WKGDRo\nEO+//z7vvvsuAQEB6u2ijh49SkpKCkuWLGHRokWsXr0aRVEAWL16NXPmzGHp0qUcP36cPXv2ALBt\n2za8vLxYtmwZd955J+vXr2+VGtuLzWYjJiaBzMzlWCxTsFimkJMTT0xMgrSUhejgLtpl0fAKbw35\n+vpisVhapYhBgwapdx/p168fJSUlAKSlpTFy5EgMBgP+/v4EBASQm5tLaWkpFouFkJAQACIiIkhN\nTQVqP0TGjBkDwPDhw8nMzGyVGttLVlYWeXkTaPyr0ZOXN56srCxHlSWEaAcXDOTu3bu3GAKZmZn4\n+/u3ekFJSUmEh4cDtVeZa9jdYDKZMJvNmM1mfH191eW+vr7qlecaPqbX6/H09KSioqLV6xRCiNZ2\nwT7ku+66i7i4OGbOnMmNN96IXq/HZrOxe/duPvzwQx544AG7N/T6669TVlamziuKgk6nY9q0aQwd\nOhSAzz//HIPBwM0333yZu9NUfRfHlSIsLIzg4MXk5Ezm3OeljeDgbYSFveDI0oQQbeyCgTx27FjK\ny8tZsWIFS5cupUuXLpw6dQpnZ2emTJnCuHHj7N7QSy+9dMHHt2/fTnp6Oi+//LK6zGQyUVxcrM6X\nlJRgMpnUS4Cev7z+OfXzNpsNi8WCl5dXs9vMzs4mOztbnY+MjMRoNNq9T23lgw9mMG/eAnJzxwLQ\nt+82VqyYgbe3t0PqcXFx0cT7AlKLlusAqeVCEhIS1J9DQ0MJDQ1tss5FBxLffffd3HLLLRw4cEAd\nh9y/f391FERr2LNnD1988QWvvfYazs7O6vKhQ4eybNky7rrrLsxmMwUFBYSEhKDT6fDw8CA3N5e+\nffuSnJzM7bffrj5nx44d9OvXj5SUFMLCwlrcbnNvSnl5eavt1+Xq0yeI5OTFpKSkABAW9jx6vd5h\ntRmNRk28LyC1aLkOkFpaYjQaiYyMvOh6OkUD3+kXLFiA1WpVP8369eunDqfbtGkT27Ztw8nJqcmw\nt/j4eHXY24wZM4Da624sX76cX3/9FaPRyMKFCy+przs/P7+V9+7yaO0/k9TSlFZq0UodILW0JDAw\n0K71NBHIWiKB3JTU0jyt1KKVOkBqaYm9gWzX5TeFEEK0PQlkIYTQCAlkIYTQCAlkIYTQCAlkIYTQ\nCAlkIYTQCAlkIYTQCAlkIYTQCAlkIYTQCAlkIYTQCAlkIYTQCAlkIYTQCAlkIYTQCAlkIYTQiIte\noF60D5vNpt6/8EIX1RdCdFzSQtaAzMwDTJy4mMmTK5g8uYKJExezd+8+R5clhGhnEsgOZrPZiIlJ\nICcnHotlChbLFHJy4pk7dx02m83R5Qkh2pEEsoNlZWWRlzeBxr8KPYcOjVO7MIQQnYMEshBCaIQE\nsoOFhYURHPwd0LB7wkbfvklycE+ITkYC2cH0ej2xsZEMGDAPd/eNuLtvZMCAuaxY8Qh6vfx6hOhM\nZNibBgwceA1bt77QYNjbi3h7e2vmjrlCiPYhgawRer2eQYMGOboMIYQDyXdiIYTQCAlkIYTQCAlk\nIYTQCAlkIYTQCAlkIYTQCAlkIYTQCAlkIYTQCAlkIYTQCAlkIYTQCAlkIYTQCAlkIYTQCAlkIYTQ\nCAlkIYTQCAlkIYTQCAlkIYTQCE1dD3nz5s2sX7+eNWvW4OXlBcCmTZtISkrCYDAQFRXF4MGDATh8\n+DArVqygurqa8PBwoqKiALBarcTFxXH48GGMRiPR0dF069bNUbskhBB200wLuaSkhIyMjEbhefTo\nUVJSUliyZAmLFi1i9erVKIoCwOrVq5kzZw5Lly7l+PHj7NmzB4Bt27bh5eXFsmXLuPPOO1m/fr1D\n9kcIIS6VZgJ53bp1TJ8+vdGytLQ0Ro4cicFgwN/fn4CAAHJzcyktLcVisRASEgJAREQEqampAKSm\npjJmzBgAhg8fTmZmZvvuiBBCXCZNBHJaWhq+vr706tWr0XKz2dyoxWwymTCbzZjNZnx9fdXlvr6+\nmM1m9Tn1j+n1ejw9PamoqGiHvRBCiN+n3fqQX3/9dcrKytR5RVHQ6XRMmzaNTZs28eKLL7bJduu7\nOJqTnZ1Ndna2Oh8ZGYnRaGyTOi6Vi4uL1NIMqUW7dYDUciEJCQnqz6GhoYSGhjZZp90C+aWXXmp2\n+X//+18KCwt5+umnURQFs9nMs88+y5tvvonJZKK4uFhdt6SkBJPJhMlkoqSkpMlyQH3MZDJhs9mw\nWCzqAcLzNfemaOVOz0ajUWpphtSi3TpAammJ0WgkMjLyous5vMuiV69erFq1iri4OOLj4zGZTLzz\nzjt4e3szdOhQfvjhB6xWK4WFhRQUFBASEoKPjw8eHh7k5uaiKArJyckMGzYMgKFDh7Jjxw4AUlJS\nCAsLc+TuCSGE3TQ17A1Ap9OpPwcFBTFixAiio6NxcnLi0UcfVR+fNWsW8fHx6rC3IUOGADB+/HiW\nL1/OggULMBqNLFy40CH7IYQQl0qnXKiTtRPKz893dAmA9r5uSS1NaaUWrdQBUktLAgMD7VrP4V0W\nQgghakkgCyGERkggCyGERkggCyGERkggCyGERkggCyGERkggCyGERkggCyGERkggCyGERkggCyGE\nRkggCyGERkggCyGERkggCyGERkggCyGERkggCyGERkggCyGERkggCyGERkggCyGERkggCyGERkgg\nCyGERkggCyGERkggCyGERkggCyGERkggCyFatHfvXlJSUlixYoWjS+kUnBxdgBDC8ZYvX86nn37K\n/Pnzqaio4NChQ7zyyitkZGQQGRnJd999R1VVFR4eHpf82kuWLCE0NJT9+/ezYMECu9fZvn07hw8f\nRq/XM3XqVFxdXUlMTMTNzY2ioiIeeeQRqqur+eSTTzh9+jSnTp3imWee+V3vg6NJC1kIweDBg7nj\njjt44IEHeOyxxygqKmLnzp1Mnz4dZ2dnampqLiuMd+7cCcBtt92G1Wpl9+7ddq1z8uRJ/vnPfzJz\n5kyKi4s5dOgQSUlJXHvttdxxxx34+fmRlZXFl19+yaRJk5gzZw65ubmkp6f/vjfCwSSQhRCkp6cz\nYsQIAIqLiyktLWXYsGEAfPHFFzz55JNUV1df8uumpaURFhYGQFhYGN9///1F19m1axdffPEF4eHh\nACxYsICwsDC8vLx47733qKqqorCwkF69enHo0CG++OILAK6++mqOHz9+6TuvIRLIQggyMjI4c+YM\n69atY9WqVaxfv56uXbuSkJDArl27ePvttzEYDJf8usXFxWrL2sPDg8LCQrvWOXDgAMePH+e7775j\n1apVANx00034+Pgwbtw43N3d6dKlC/Pnz+f+++8HICcnRw3xK5X0IQshKC0t5fbbbwfgvvvuw9XV\nFYDIyEgiIyObrH/w4EGSk5PR6XSNlru6unLPPffQpUsXAGw2mxrkDX9uqLl1bDYbRqORCRMm8Msv\nv7Bt2zbCwsIYNmwYN910E++99x4REREEBAQAkJKSwqhRo9T5K5UEshCd3LFjx/Dz82s0f+bMGdzd\n3Vt8Tv/+/enfv3+T5UajkfLycnXez8+PqqoqAMrLy/H19W3ynPPX6datGwA9evQAwMfHh/3797N3\n714WLFiAwWDgqquu4osvvmD27NmcPHmS1NTUFg8YXkkkkB3AZrORlZUF1PaZ6fXScyQc5+eff2bA\ngAEAnD17lsLCQtzd3SkuLlbD8Xz1LeTzubm5cffdd+Pt7Q3AsGHDyMjIYPz48ezZs4ebb74ZgKNH\njxIUFNTiOh4eHmp/c2lpKQMGDCA9PZ2zZ8/i7u7OtddeS1FREQCJiYnMnz8fq9VKSkoKo0ePbt03\nqB1JILezzMwDxMQkkJc3AYDg4MXExkYycOA1Dq5MdEY//vgjH3/8MQEBAZSUlODr68stt9zC5s2b\n6devX4uBbG8L+eabbyYpKYn//Oc/6HQ6xowZQ1lZGfPmzePf//53i+sA7Nq1i88++wy9Xs/YsWMJ\nDw9n7dq1dO/eHZ1Ox7333stHH33Eu+++S2xsLIqi8K9//asN3qX2o1MURXF0EVqSn5//u1+jpRaw\nzWZj4sTF5OTEc+54qo0BA+axdesLjVrK5//HdiSppXlaqUUrdYDU0pLAwEC71pPvyq0sM/MAEycu\nZvLkCiZPrmDixMVkZh4AICsrq65l3PBt15OXN14NcCFE5yWB3IpsNhsxMQnk5MRjsUzBYplCTk48\nMTEJ2Gw2R5cnhNA4CeRWdLEWcFhYGMHB3wENw9lGcPA2dWC8EKLzkkBuR3q9ntjYSAYMmIe7+0bc\n3TcyYMBcYmMjZaSFEEI7oyy2bNnCN998g16v5/rrr+ehhx4CYNOmTSQlJWEwGIiKimLw4MEAHD58\nmBUrVlBdXU14eDhRUVEAWK1W4uLiOHz4MEajkejo6BaPFLe22hbwYnJyJtPwoF1tC/gFAAYOvIat\nW19ocNDvRQljIQSgkUDOzs7mp59+4r333sNgMHDq1CmgdqxiSkoKS5YsoaSkhNdff51ly5ah0+lY\nvXo1c+bMISQkhLfeeos9e/YwZMgQtm3bhpeXF8uWLeOHH35g/fr1PPXUU+2yH/Ut4JiYeeTljQcg\nOPg7YmOnNgpdvV7PoEGD2qUmIcSVQxOB/M033zBp0iT19Mn60y7T0tIYOXIkBoMBf39/AgICyM3N\nxc/PD4vFQkhICAARERGkpqYyZMgQUlNT1VM9hw8fzpo1a9p1X6QFLIS4XJoI5OPHj5OTk8M//vEP\nXFxcmD59On369MFsNjcafG4ymTCbzRgMhkanYPr6+mI2mwEwm83qY3q9Hk9PTyoqKvDy8mq3/ZEW\nsBDicrRbIL/++uuUlZWp84qioNPpmDZtGjU1NVRWVrJ48WJyc3OJjY0lLi6uVbYr570IIa4U7RbI\nL730UouPffvtt9x0000AhISEoNfrKS8vx2QyUVxcrK5XUlKCyWTCZDJRUlLSZDmgPmYymbDZbFgs\nlhZbx9nZ2WRnZ6vzkZGRdp9R0x6MRqOjS1BJLc3TSi1aqQOklpYkJCSoP4eGhhIaGtpkHU10bg4b\nNkztc83Pz8dqtWI0Ghk6dCg//PADVquVwsJCCgoKCAkJwcfHBw8PD3Jzc1EUheTkZPVi2kOHDmXH\njh1A7SX5LjS+NzQ0VL28YGRkZKM3zNGkluZJLU1ppQ6QWlqSkJDQKGuaC2PQSB/y2LFjWblyJX/6\n059wdnZm/vz5AAQFBTFixAiio6NxcnLi0UcfVa+/OmvWLOLj49Vhb0OGDAFg/PjxLF++nAULFmA0\nGlm4cKHD9ksIIS6FJgLZycmJJ598stnH7r33Xu69994my/v06cP777/fZLmzszMxMTGtXqMQQrQ1\nw6uvvvqqo4vQEn9/f0eXoJJamie1NKWVOkBqaYk9tcjlN4UQQiM0cVBPCCGEBLIQQmiGJg7qadHm\nzZtZv349a9asadez/Br67LPPSEtLA2pPJ587d26zN4lsD+vXr+enn37CycmJ7t27M3fuXPXW7e3p\nxx9/ZOPGjRw9epS33nqLPn36tHsNe/bsYe3atSiKwrhx45g0aVK71wCwcuVKfv75Z7y9vXnvvfcc\nUkO9kpIS4uLiKCsrQ6fTMWHCBO644w6H1FJdXc0rr7yC1WrFarUydOhQHnzwQYfUArXXSV+0aBEm\nk4lnn332wisrooni4mLljTfeUObOnauUl5c7rA6LxaL+/NVXXykrV650WC179+5VampqFEVRlPXr\n1yuffPKJQ+o4duyYkp+fr7z66qvKoUOH2n37NTU1yvz585XCwkKlurpa+fOf/6wcPXq03etQFEXZ\nt2+fkpeXp/zpT39yyPYbOnnypJKXl6coSu3/2wULFjjsfVEURTl9+rSiKLW/r+eff17Zt2+fw2rZ\nvHmzsnTpUuXtt9++6LrSZdGMdevWMX36dEeXgZubm/rzmTNnHHrW0aBBg9SLJPXr16/RmZLtKTAw\nkICAAIdsGyA3N5eAgAD8/PxwcnJi1KhRpKamOqSWa6+9Fk9PT4ds+3w+Pj707t0bqP1/27NnT/X6\nMo7g6uoK1LaWbTabw77llpSUkJ6ezoQJE+xaX7oszpOWloavry+9evVydCkAfPrpp+zYsQNXV1fe\nfPNNR5cDQFJSEqNGjXJ0GQ7R8OJVUHuqfm5urgMr0p7CwkKOHDlCv379HFaDzWbjueee48SJE9x6\n660EBQU5pI76xl1VVZVd63fKQL7QhY42bdrEiy++2OgxR9UydOhQpk2bxrRp00hMTGTt2rXMnTvX\nYbUAfP755xgMBm6++WaH1iG06fTp08TGxhIVFdXoG1570+v1/O///i9VVVUsXryYnJwcBgwY0K41\n1Pfv9+7dm+zsbLuypFMGcksXOvrvf/9LYWEhTz/9NIqiYDabee6553jzzTfx9vZu11rOd/PNN/PW\nW2+1SQ321rJ9+3bS09N5+eWXHVqHI51/wSuz2axe2Kqzq6mp4f333yciIkK9toyjeXh4EB4ezqFD\nh9o9kPfv309aWhrp6emcPXsWi8VCXFycemmI5nTKQG5Jr169WLVqlTo/b9483nnnHYf1PxUUFNCj\nRw8AUlNT1T46R9izZw9ffPEFr732Gs7Ozg6rw9FCQkIoKCigqKiIrl278v333zv0eimKomjmErMr\nV64kKCjIYaMr6p06dQonJyc8PDw4e/YsmZmZTJkypd3rePDBB9XRHTk5OWzevPmCYQwSyBdUfyEj\nR/nkk084fvw4er0ef39/HnvsMYfV8uGHH2K1WnnjjTeA2gN7jz76aLvXsXv3bv7+979z6tQp3n77\nbXr37s3zzz/fbtvX6/XMmjWLN954A0VRGD9+vMP6J5cuXUpOTg7l5eU88cQTREZGMm7cOIfUsn//\nfnbu3EmvXr145pln0Ol0PPDAA+pFv9pTaWkp8fHx6ofV6NGjGThwYLvXcTnk1GkhhNAIGfYmhBAa\nIYEshBAaIYEshBAaIYEshBAaIYEshBAaIYEshBAaIYEshBAaIYEsRBt6+OGHKSwsBGDFihV89tln\nDq5IaJmcqSc6nO3bt/Of//yHEydO4OHhwbBhw3jwwQfb/IL6r732GqNHj2b8+PHqso8++qhNtyk6\nFmkhiw5l8+bNbNiwgYcffph169axePFiioqKeP3116mpqXF0eUJckLSQRYdhsVjYuHEjc+fOZdCg\nQQB069aN6OhonnzySZKTk9m3bx++vr5MnToVqL3oy/Lly1m5ciUAiYmJfPfdd5w6dYpu3boxdepU\nbrzxRqC25b1t2zb69evHtm3b8PLyYtasWQwZMoRPP/2Uffv28csvv7Bu3TrGjBnDzJkzmTp1KsuW\nLaN79+5N6v3pp5/47LPPKCoqIigoiMcee0y9DndiYiJff/01FosFk8nErFmzCAsLa4+3UTiQBLLo\nMA4cOEB1dbUaoPXc3NwYMmQImZmZODld+L98jx49eP311/Hx8SElJYXly5ezfPlyfHx8gNo7howd\nO5YPP/yQb7/9lpUrV/LBBx8wbdo0Dhw40KTLoiV5eXn89a9/5bnnnqNPnz7s3LmTd955h6VLl1JY\nWMjWrVt5++238fHxobi4GJvNdvlvjLhiSJeF6DDKy8vp0qWLequphrp27Up5eflFX2P48OFq+I4Y\nMYKAgIBGdwTx8/Nj/Pjx6HQ6xo4dS2lpaaOL6dvru+++49Zbb6Vv377odDoiIiJwdnbml19+Qa/X\nY7Va+e2336ipqaFbt274+/tf8jbElUdayKLDMBqNnDp1CpvN1iSUT548addNBnbs2MGXX35JUVER\nUHsHjIZBXh/WAC4uLuo6l3oDg6KiInbs2MGWLVvUZVarlZMnT3LdddcRFRWl3l178ODBPPzww3Tt\n2vWStiGuPBLIosPo378/zs7O7N69m+HDh6vLT58+zZ49e3j44Yc5ePAgZ86cUR87efKk+nNxcTF/\n+9vfeOWVV+jfvz8AzzzzTJtcAN7X15fJkydz7733Nvv4qFGjGDVqFKdPn+aDDz7gk08+uejFzcWV\nT7osRIfh4eHBlClT+PDDD9mzZw81NTUUFhayZMkSevTowciRI+nduzfp6elUVFRQWlrKV199pT7/\n9OnT6HQ6jEYjNpuNpKQkfvvtN7u37+3trY45vphbbrmFb7/9Vu0OOX36ND///DOnT58mPz+frKws\nrFYrTk5OuLi4NNsNIzoeaSGLDuWee+7BaDTy8ccfU1BQgNVqJTw8nEWLFmEwGIiIiCAzM5N58+bh\n7+/PuHHj2Lx5MwBBQUHcddddvPDCC+j1eiIiIrj22mvt3vYdd9xBfHw833zzDREREURFRbW4bp8+\nfZg9ezZr1qyhoKAAFxcXrr32WgYMGIDVamXDhg0cO3YMJycn+vfvz+zZs3/vWyOuAHLHENGhbd++\nnU8++YTFixfLgTGheRLIosPbuXMner2eUaNGOboUIS5IAlkIITRCjhQIIYRGSCALIYRGSCALIYRG\nSDimYC0AAAAXSURBVCALIYRGSCALIYRGSCALIYRG/H+mWDiC7sCVRQAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10eff3710>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import scipy.stats as stats\n",
"import matplotlib.pyplot as plt\n",
"\n",
"figsize(5,5)\n",
"fig, ax1 = plt.subplots()\n",
"\n",
"x = data['PIRDiff'].tolist()\n",
"stats.probplot(x, dist=\"norm\", plot=ax1)\n",
"\n",
"figsize(17,5)"
]
},
{
"cell_type": "code",
"execution_count": 102,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"[5633.874616564417, 5724.8431748466255, 2933.0434782608695, 1948.4631791212623]"
]
},
"execution_count": 102,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Triggers\n",
"\n",
"d2 = data['PIRDiff'].apply(lambda x: x if x > thresh else 0)\n",
"[x for x in d2 if x != 0]\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Hierachical clustering"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"AgglomerativeClustering(affinity='euclidean', compute_full_tree='auto',\n",
" connectivity=None, linkage='ward',\n",
" memory=Memory(cachedir=None), n_clusters=2, n_components=None,\n",
" pooling_func=<function mean at 0x11131dae8>)\n"
]
}
],
"source": [
"from sklearn.cluster import AgglomerativeClustering\n",
"\n",
"ward = AgglomerativeClustering(n_clusters=2, linkage='ward').fit(data)\n",
"print(ward)"
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x118949be0>]"
]
},
"execution_count": 27,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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BRjsVxzre1/fpoFEzMtTn/5OvjX+t++TcD2W/p3K+StWMM9ksjjWfH595s0wrWb169cDt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\nQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x118949c88>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"label = ward.labels_\n",
"\n",
"axvline(x=thresh)\n",
"ylim(-.5,1.5)\n",
"xlim(0,100)\n",
"\n",
"plot(data, label, '.r')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## k-means clustering"
]
},
{
"cell_type": "code",
"execution_count": 95,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[[ -4.78128853e+03]\n",
" [ 3.42134674e-02]\n",
" [ 4.76392042e+03]]\n"
]
},
{
"data": {
"text/plain": [
"array([1, 1, 1, ..., 1, 1, 1], dtype=int32)"
]
},
"execution_count": 95,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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8oV/9wcGhtw9d8LUAAFPrysuubNI9H8yNz93YpPsuWy21PHnTk7lh7g3NXgrA+96E4V6v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\nzqYAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x107aa4f28>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from scipy.cluster.vq import kmeans,vq\n",
"\n",
"centroids,_ = kmeans(data,3)\n",
"idx,_ = vq(data,centroids)\n",
"\n",
"plot(centroids,[1] * len(centroids),'sg',markersize=8)\n",
"c = ['#990000','#000099','#009900']\n",
"\n",
"plot(data[idx==argmax(centroids)], [1.05] * len(data[idx==argmax(centroids)]), c[0])\n",
"plot(data[idx!=argmax(centroids)], [0] * len(data[idx!=argmax(centroids)]), c[1])\n",
"plot(data[idx!=argmax(centroids)], [0.95] * len(data[idx!=argmax(centroids)]), c[2])\n",
"ylim(.9,1.1)\n",
"\n",
"axvline(x=thresh)\n",
"\n",
"print(centroids)\n",
"idx"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"First sustained positive differential? - No, this only works if there's enough data"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Mosaic plot:\n",
"Events (morning, day, evening) vs Day of week (Mon, Tue, etc)"
]
},
{
"cell_type": "code",
"execution_count": 43,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"# TODO"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": 61,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"array([ 232. , 348. , 394.91 , 1268.48844267])"
]
},
"execution_count": 61,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"percentile(data, [95,99,99.5,99.9])"
]
},
{
"cell_type": "code",
"execution_count": 45,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.text.Text at 0x11b3000b8>"
]
},
"execution_count": 45,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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REZEQpIBdREREREREJAQpYBcREREREREJQQrYRUREREREREKQAnYRERERERGR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\nSdK6deuUlJSkhQsXasaMG
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