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jkibele/spikes2

Created Feb 2, 2015
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More Wasting Time on Spikes
{
"metadata": {
"name": "",
"signature": "sha256:2d19e10e5e012d74f436153043ce8dbb1981c12a925559e734783b6d4fc4f3c6"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "heading",
"level": 1,
"metadata": {},
"source": [
"Identifying Spikes"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Suppose you have some timeseries data with occasional spikes in it and you want to identify them. This is what I came up with as a solution using Pandas and [median absolute deviation](http://en.wikipedia.org/wiki/Median_absolute_deviation)."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import pandas as pd\n",
"pd.__version__"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 1,
"text": [
"'0.15.2'"
]
}
],
"prompt_number": 1
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Make a fake time series that could represent something like temperature. It can change in either direction but you don't expect big jumps in a single step so the cumulative sum of random numbers makes a decent test case."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"ts = pd.Series( randn(500), index=pd.date_range('1/1/2000',periods=500))\n",
"ts = ts.cumsum()\n",
"spikes = 25 * random_sample(20) - 12\n",
"spike_points = randint(0,500,20)\n",
"ts.ix[spike_points] = ts.ix[spike_points] + spikes"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 2
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Here are the fake data with red vertical lines marking where the spikes are."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"ax = ts.plot(figsize=(15,5),label=\"Data\")\n",
"ax.vlines(ts.index[spike_points],-25,25,color='r',alpha=0.5,label=\"Spikes\")\n",
"legend()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 3,
"text": [
"<matplotlib.legend.Legend at 0x7f56091a6f50>"
]
},
{
"metadata": {},
"output_type": "display_data",
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vGcdAjYiIiIiIyGUYqFHEYk40WY19jOzAOWpkBx7PyCrsW8YxUCMiIiIiInIZBmoUsZgT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\n/E15ufVWWZ/t0KHAt7tgAXDbbfk/p0sXGan77DP5fZYuHVz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XrwL9Y2yXVLez\ngIeyXz+UfeyAl51zC7N/mZ4CHJ7dZyPwcOytFBHpWEeBvgHNwC+y1zKcc0viapSknu7LJEy6H4tA\nV8rzl+obwD8Aw5xzG83sfSBIpa/N2W8joAnS0ikz2xY4CtjHzBzQDX9R+B+2vPExYFP26zVaLkK6\naANb/pFL1yvpqnnAabkbzKwP0A94D38NEwmb7sskFLofi06cGbVtgM+yF4Oj8EM5RLriNOA+51x/\n59zuzrldgfeBI4EDs+Psa/BjpZ9PsqGSKn8FhphZDzNrxA8ZEimbc+5poJeZnQNgZt3ww9B+CTwF\nfCu7DTNryr5sBdAngeZKeui+TMKi+7GIRB6omVl3/F9mJgP7m9kbwDnA/Jzd2kbUirClGGcCj7TZ\n9nB2+2zgdvxfqv/inAv2U9+SsgTXMufch8BU4M/Ag8BriTZM0uIU4HQzewd4G1gFTADuwc9VeyM7\n6T6opjYJeFLFRKRUui+TCOh+LCKRL3htZvsCdznnVNFFYmFmI4ArnHMnJd0WSQ9dy0QkDXQtk7jo\nfqzrIs2omdlFwAPA1VG+j0ge+kuNhEbXMhFJA13LJAG6H+uCyDNqIiIiIiIiUhqtBC4iIiIiIlJh\nQgvUzKyfmc0yszezK9l/O7t9WzObaWbvmNlT2SppwWt+aGYLsquVH52zfbiZ/Sn73K1htVFERERk\naxDyfdlPzOwDM1uRxLmIbK1CG/poZl8CvuScm2tmDfgFEk8GzgM+d87dZGY/AJqcc1ea2RD8OOkD\ngL7A74FBzjlnZi8DlzrnXjazx4GfO+eeDKWhIiIiIikX8n3Zgfjqowucc70TOSGRrVBoGTXn3CfO\nubnZr1fiy7z2BUYD92Z3uxd/kQAYA0xxzq13zi0E3gUOMrOdgN7OuZez+92X8xoRERER6URY92XZ\n17/snPskxuaLCBHNUTOz/sB+wB+BHZ1zn2af+hTYMfv1zsCHOS/7EH8Babv9o+x2ERERESlRF+/L\nRCQhoQdq2fT6w8BlzrktxjI7P85SZSZFREREYtDF+zLds4kkKNRAzcxq8ReD+51zj2Y3f5odJ012\nWONn2e0fAf1yXr4L/q83H2W/zt3+UZjtFBEREUm7EO7LdP8lkqAwqz4a8J/APOfcLTlPTQfGZb8e\nBzyas/1MM+thZrsDg4BgDPRyMzsoe8xzcl4jIiIiIp0I674srvaKSHthVn08HHgWeIPWVPkP8b/k\nU4FdgYXAGc65pdnXTADOBzbgU/K/y24fDvwKyACPO+e+HUojRURERLYCId+X3QScBewELALuds5d\nG9vJiGylQgvUREREREREJByRVH0UERERERGR8ilQExERERERqTAK1ERERERERCqMAjUREREREZEK\no0BNRERERESkwihQExERERERqTAK1ERERERERCrM/wdDZiEtd1g3LgAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x7f562b662610>"
]
}
],
"prompt_number": 3
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Put this stuff into a pandas dataframe to keep track of it:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"df = pd.DataFrame( ts, columns=['Data'] )\n",
"df['Spike'] = False\n",
"df.ix[spike_points,'Spike'] = True\n",
"df['SpikeVal'] = np.nan\n",
"df.ix[spike_points,'SpikeVal'] = spikes"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 4
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Detecting Spikes"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"def relative_std( x ):\n",
" \"\"\"\n",
" Return the difference between the last element's deviation and\n",
" the standard deviation of the rest of the set.\n",
" \"\"\"\n",
" return sqrt( (x[-1] - x.mean())**2 ) - x[:-1].std()"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 5
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"def rel_std_detect( x, thresh=2.0 ):\n",
" if relative_std( x ) > thresh:\n",
" return True\n",
" else:\n",
" return False"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 6
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"def smooth_temp_detect( x ):\n",
" ts = x[-3:]\n",
" peak = ts[2] < ts[1] > ts[0]\n",
" trough = ts[2] > ts[1] < ts[0]\n",
" if peak or trough:\n",
" diff01 = abs(ts[0] - ts[1])\n",
" diff02 = abs(ts[0] - ts[2])\n",
" diff12 = abs(ts[1] - ts[2])\n",
" if diff01 >= diff02 <= diff12:\n",
" return True\n",
" return False"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 7
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"df['RelStd'] = pd.rolling_apply( df.Data, 3, relative_std )\n",
"df['SmoothTemp'] = pd.rolling_apply( df.Data, 3, smooth_temp_detect, center=True )"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 8
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"pcnt = 25\n",
"\n",
"relstd_thresh = np.percentile( df[df.Spike].RelStd, pcnt )\n",
"\n",
"df['relstd_spike'] = df.RelStd > 2.0"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 9
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"relstd_thresh"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 10,
"text": [
"2.830683766102613"
]
}
],
"prompt_number": 10
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"pd.crosstab(df.Spike,df.SmoothTemp)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"html": [
"<div style=\"max-height:1000px;max-width:1500px;overflow:auto;\">\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th>SmoothTemp</th>\n",
" <th>0.0</th>\n",
" <th>1.0</th>\n",
" </tr>\n",
" <tr>\n",
" <th>Spike</th>\n",
" <th></th>\n",
" <th></th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>False</th>\n",
" <td> 395</td>\n",
" <td> 83</td>\n",
" </tr>\n",
" <tr>\n",
" <th>True </th>\n",
" <td> 3</td>\n",
" <td> 17</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"metadata": {},
"output_type": "pyout",
"prompt_number": 11,
"text": [
"SmoothTemp 0 1\n",
"Spike \n",
"False 395 83\n",
"True 3 17"
]
}
],
"prompt_number": 11
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"pd.crosstab(df.Spike,df.relstd_spike)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"html": [
"<div style=\"max-height:1000px;max-width:1500px;overflow:auto;\">\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th>relstd_spike</th>\n",
" <th>False</th>\n",
" <th>True</th>\n",
" </tr>\n",
" <tr>\n",
" <th>Spike</th>\n",
" <th></th>\n",
" <th></th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>False</th>\n",
" <td> 479</td>\n",
" <td> 1</td>\n",
" </tr>\n",
" <tr>\n",
" <th>True </th>\n",
" <td> 5</td>\n",
" <td> 15</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"metadata": {},
"output_type": "pyout",
"prompt_number": 12,
"text": [
"relstd_spike False True \n",
"Spike \n",
"False 479 1\n",
"True 5 15"
]
}
],
"prompt_number": 12
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"ax = df[['Data','RelStd']].plot(figsize=(15,4))\n",
"ax.vlines(df.index[spike_points],-25,25,color='r',alpha=0.5,label=\"Spikes\")\n",
"legend()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 13,
"text": [
"<matplotlib.legend.Legend at 0x7f5608dfe910>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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OlabAgZoZEyvEqOaqvxG1LMhQ2702JFDyfAgzoRRE8HKuBBuygVjKF7kvS5Iv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cuaJ6RYwcODFfUklLx5w56V3Aw1bRU5c2PKFGDpUsP8HlOm8N/Agdz22Fhgxw4WPSlYkGuhZYeq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\n1ERERERERGqMAjUREREREZEa8/8wYgYDjjl4bQAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x7f56216ac310>"
]
}
],
"prompt_number": 13
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"figure( figsize=(15,5))\n",
"plot(df.Data, color='r', alpha=0.3, label=\"Data\")\n",
"ts_spikeless = df.Data.copy()\n",
"ts_spikeless[df.SmoothTemp.astype('bool')] = np.nan\n",
"plot(ts_spikeless, label='Filtered')\n",
"title(\"Smooth Temps Method\")\n",
"legend()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 14,
"text": [
"<matplotlib.legend.Legend at 0x7f5608a6ed50>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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0gRg+wrBt+7GbpQAsXVjOVf+RzM23xXDjNSfgCSMRkRAKVTCXC+z2u7zHd11w\npKYCcNJJ8NlK58vkvffgrDOcwcCwCcnU1rvYvbW2xcMKD8STN9yvtMx/zpzH43TzE4kWfkHIJddl\n8u4nqfz14WIOFNbx/mtlVJV7aPAYMrLj2n346KENbPq8gT88UMOfPhjlXJmWBuXlLHunnC/NLOWq\n84/w2ZLadh/fY3Ri7mGovfZSLW+8k9jt+20S7mAq3GWePdyqjUlMOy0pqNscPiqWbbs6FyC+93YD\n376inHfej+PND9OorVbgLiISLG3rr4KjU9/K8+fPb/r/3LlzmTt37nHt5KRTE3j4UUNdjZd3lyZz\nx3xn/pwxcMqkKpa+Z/n6CGeAVFnmobouhuwBfl8+CQnOIKKhwQnkVq+Gc85xejaLRDq/ICSjdyyv\nvVbH6WemccvdBmuTeeaP5eRkJWJM+4O40SO9rF1jeO71ND58z1f6lJ4OFRXc/bM4Zp7kZtSASrJr\nioERgJO0S0hod3PRy9qwB3OLl8ZRdDiMnzvhzsxZq8xciOzbVUe925A3Mrh/uMPHJbBtdzuZubo6\n2LoVxo9vuuq9D+O4+6de+ucnMGlEGe/83XLxN3sF9XhERKLFokWLWLRoUdC2F6pgbi8wyO/yIJzs\nXAv+wVxXjJuRQsF+D7deV8LJE1yMnJLZdNspM70s/Ri+foNzuXBrLXl9Dca0Kr9snDd35IgzoNiz\nB4a0301TJKL4lwcCY09KYe2qWjJ6x/Kn+8u49Y5k+mc3AB0Ec2Nd/MdtaUwfW82oqb6mQ+npfPHh\nYdZtzeXNRXEkuBNg+XJgBK/9pZhnXojltfc7aFAUrbzephM4n6xJ4sHfpPD+mgZefqKKc78W+gFn\nfa2X5RtSqK13UV/rJT4xDE2GlZnrsVZ+VM3U0QZjOtepsrNyhyVSUumhqtxDSrrfSdLiYti5EwYO\nhF69qChxs2ZrMqed73xWffVSN6+8bLj4m0E9HBGRqNE6gXXPPfcEtL1QjRo+A0YYYwYb5xvk68Ab\nwd5JXLxhwrBqXn0nlT8/l9KiU9cpc+JYurL5y6twewN5Oe2sP9c4b66kBIYPh4KCYB+mSGj4lwf6\nDByeSFpmLD+4sxdVtS5y+ng6eDCMmZxAeXUcP7jebxCflsbvn+/NDVdXkJDkcsouXS4oLWV07DbW\nb4nirLW1sGSJM9hsfb3vwyNpQCaXXhHHj75TzjN/7Z7gZuWHlQzPraV/Vj37C8O0aHu4g6lw778H\nW7nCw7RDlJfIAAAgAElEQVRJHX8OdJXLBUNzatm+vqblDSUlkJTU9F26+F+VTB9bRXKaE/Bdfm0q\nCxar1FJEJFhCEsxZa93A/wP+D9gAvGyt3RiKfd3wXTcvPFFLn9yWZx2nzU5hw84kqsqdL7HCnR7y\nB7bzhZaS4nTwq6iAYcPYsDOJLctLQ3GoIsHVKjPnLyU9hl/8pJJpUzoeMI2clMRV5x/homuas0+V\nJo2/L83h+h+nNd8xJwfWrmX4YDd7DydQUxn8gWG32L/f+Vvftavl9X5B8eSZiVxzcxbf/3EaCxan\ntVj6JFQ+fK+eOTPrGJDdwN6dYQrmwl3mGO7992Cr18Yw9aTQnLcdnl/Pto0NLa8sLYWxY53lThoa\n+Pc7bs6a3Xyf/vkJDMmpZe1SNR8TEQmGkNXzWGvfttaOstYOt9b+KlT7ufbWrHYXQk1KjeGf/7MJ\nV5mz3lzhLkvewHbO/KamQlGRE9TFxvKPtcN44jG1TpYo0E5mzt/37+zNnQ+17XDZKCHJxfP/yiIu\nvjkgTO0Vy8atcfTL85tfk5MD5eXEjRnOiIE1bFxZHZTD73bbtsHEiXDoENT7BU3tBMV9B8YzY1wV\nC54vC/lhLf44ltlzXeT2c1O0O0yBcjgzY41BnDJzIbFuSyKTZoRmouvwId6WyxNY65ww6duX51eO\nZtq4Gh5/pRcXXtZy/9mZHkqLo/SkkIhIhAnD5Izuc855sSRVOyVVk/OOcMaZ7WQxUlKgpgYynfl2\nU2fEsmpdqKYSigTRUTJzgejbr9U2MzJg6lTo149xI+pZv7qh/QdGsE/eLuXdT9OdeTz9+8Nuv2a7\nHQTF877m5cWXg//6+is/4mbpuhROPy+FAf297N0dpuxUOOfMNQZxyswFXfkRNwdL4xg2PridLBsN\nHw5bt/nvsNwpsYyNZdblA3j0UcPObV6mzE5r8biMNEtZiX7fIiLB0KODOXr3dubHNDRwxZTtnH5R\nO80MfMscNAZzU05JYvXm5KCcJK4PU8WUnCCOkZkLqlxnZZHxYy3rP4++DMrzz3hYV+w8h30Jg7nw\nG72a/8Y7CIq/cl06H6xI5XBR6P6Q/3hfGV+eXUGf3Hhyc6GoKIzZMWXmepx1y6oZN6SGmNjQnJQY\nMSaWbbv8Tn6WljZ9lw4dHc+Ms9LIHtC28UpGupeyMv2+RUSCoWcHc1lZUFbm1O737g0x7ayJExPj\nNHno7ZSj5QxOIDbGtlmjrjMO7PNSctgpHdn9eSnDB51giy9L9wpRZu5oxk+KYf3G4C4+3B0+WRXP\nrDnOoLL/6F7s3J/Ikrd8JZQdBMUZvWO55IwKnvljRUiOqbLMw2+fSOWuXzglaANyDXuLwvSRHM45\na8rMhcy6lQ1MHBO6kxHjZyRz4RRnbhzgND/pdewOsBnpUFaqYE5EJBh6djAXE+Osm7Vli1Na1ZG5\nc53SEJ+po2tYvbSm4/t34L6flPC72wqhvJyBB1ZSXuXi0F6l5yREujMz5zN+WgLrtyU6pcnvveec\nLIlwVeUeNhUkMXW2k4U3Br53TS2PPeqbs3OUoPh7P4jlsWcTg5o0shaWLiznh9eWccaMKsaclAJA\nbl4MRQfCFCiHs8xSmbmQWbsWJk0M3fb7D4rjxz+odpb08Xqd9VozM4/5uIx0Gw0fHSIiUaFnB3Pg\nZNxqa6Ffv04/ZMpEN6tXHt/Apr7Wy4sL0vjmNzyweDGmfz8mjahm7bLjDwpFOsN6uz8zN3hMEkcq\nYin7eL2T0f7ss+az8hFqxQeVTBxeTWJy88fdNTem8+aHaRw50HDUoPiU89KJccFHb5UH7Xj++VQJ\nX706nrRUy4N/bF73ckB+LHsPhmG+bmMQZUx4AqrGYE6ZuaBbuzGOSSeFeDmR/HwoLHQaDPXq5ZxA\nPYaMXoaysu797BIR6al6fjDXty9kZ0NC57t5TT0phlVrj++lWfB8GWOH1jD03OFw6qkwdiyTx7lZ\n81lkD3QlzGo7Luc9XFSPu6HjwfXsH4xn5bruXffN5YKxg2v4YqOB6dOdjPcXX3TrMRyvTz5yM2ta\nywx57/5xXDi7gj8/UH7UzJwx8N2ra/nrX4LX4XbZUg83XFPJ757rzcDhiU3X5w5JoOhwaLoOHpW1\nzi/W5QpPQNUYQCozF1ReL6zfkcyEGaFpftKkd2/weGDHDhg3rlMPyegF5RUK5kREgqHnB3NZWTBz\n5nE9ZMqsRFZvOsYX4LZtsHVr08W/Pg3XXe0b8GVmgsvF5CmGNccZFMoJxOuFRYvgyJE2N21eVUW/\nQXEkJ1tu/WZx28cCG3YlkTei+wf/X77AQ+2gkc7gf9gwOHAgogfinyx3ccppbcsXf35fIn94KpW/\nvZF41HLVi76WxP8tCU5TJIBV62KZOr1tBi49KxaPFypKunlpFK/XiVqVmesxVrxfwYLnSsnOaKBX\nn2444TNqFIwf32K6wtFk9HJRVq5gTkQkGBRptGPI2CQqqmOO3gSluLhpEH5gdz2LV6VyxXdaTvye\nPCOe1RvCcKZdQuqJXxdzw9faD7COy+HDTonioUNtbtqxuYGzp5dxaL+XN/+dxCuPlbS4/cj+etwe\n026nuFC7+6FenHmpr5QqMdH5KS11AoE1ayKqjau18Mm6FGad2XaQOXJyMgvfbOCHj45m5fqO/06H\nTUgmIc6yYUXgixxbC6s2JTP11LbHYwzk9qln745ubpzUWGYarsyc5swFVU2lh9O+lMzd98Zy0Znd\ntCZkbq6z7EcnpfdyUVah4YeISDBoQbV2GAM3XFXOjd9x8fqHie1XYJWVNZVmpTUc4c2HjpCaMbbF\nXcaelMyOfZaaSg9JqdHXAVCa3fn9w3y0LJ4RQ9x8uDyZIxWx3L2rjpzBAQTrRUXOXM7Dh50z2372\nFHoYmON0VHzp+VouuDSF085t3t/W9XWMGATGdG+ZZbv69HEC0tpapxGCy+Uszh0BCjbXkhAHucMS\n27194impLFvhIW9Ix79HY+CcU6t5900YNyMloOMp3FJLfJyhf377+8vt20BRIYyeFtBujk9jmaW1\n4QmorHWaVSkzFxRb1tYwPNewZmsqkBruw2lXRlYMZZUK3kVEgkGnxjpwz+8z2b0vjr/8up0MTI2v\nqYnHA/X1JNeXcvoZbePihCQXo/JqWL+8mkN763XiOYr94+0kvnppA/36WpYuc3HpmeW8+Hhl1zfo\n9TrliePGOQvtuluW1u0ptAwc4LxhTpqbymVnV/DUH5r3t21jA8PzI2Q+ZmMwt2sXTJgABw7gLo6M\nVnU7NtYxbODRM12Dh8Ucsynouee5eOffgZ+QWfVxDVNHd9wUKbefh+ee9rBr0/EvjdJljWWW4czM\nxcQoMxckG9fVM2ZYZC+Lk5HpoqxSJzhFRIJBwVwH4hNdPP443Pfb5LY3lpVBRobTtau83Flbp4N2\nzJPH1POfP/EycHBM+4GhRLxDe+vZfySeG3+Wxa8e602/vASuvjaWZ//ml12pqnLmUXZWcTGkpDg/\nmZnOZT+797oYmNecEv7W9+J46uWkpvHu1i2WEcMiJJORleX8HVRWwqBBvHdoIl/+cmQMzAt3usnP\n9QS8nTMvTmXJmlTqagJ7zVev9DB1Usdz4n7xQBLJSZZpM1y89XxpQPvqtMYyy3DNmVNmLqg2rvcy\nZlRkv5YZvWMpq1JhkIhIMCiYO4qps1MpLotz2pf7Ky11WjBnZDj/b7zcjvPOh8x0Ly88Ws49D6ZQ\nUxn4wFICt2dbbdvsh7Xtzvf6+J0qTplYRUxsc3A195IMDpXGsv5T3zyqnTudYK6dwXC74+P9+yEn\nx/l/djZ1RS2DuT37XAwa3Hzm+uRz0omNsSxd6LTI37rdMGJkhPz5xsQ4AV1eHrhcjJ6RwaqNwWsY\nEoiCXZb8vMAHtpl94xgzuIZP3glsAfFVa2OZelLHGYmh45J45MXeLHillm/dmNz8/gqlcHezVGYu\nqDZsjmHM2Aj5bOhAYzCnX7mISOAi+xM/zFwumDyyilVLWk0i98/M7d3rNICIa3/u0pU3ZPGPDzK5\n/LuZnDyhhj/c201n26Vd9bVezp5exsjxcXz3mlalSPv3w8qVbR6zZLGXU2e2zKbExMBN11aw85P9\nzmB0717nDVPevB7Z4aJ6Lp1TQlZ6A2dOK2PPNr/g8dAhpzwR2FLWj0mX5FNd0Rzo7zkQx8DBze8p\nY+BbV9by1OPOiYVtu2IZPjqCzmxPnQojRwLO/DQL7NvZjaWCHSgodJGfH5yueaefXM8nH3W906S1\nsHJjUrvNT1qb9aV0Hpxfybx5NvTxVbi7WTZm5jSyD4qN2+MZMzEC5tIeRUKSC5ex1FXr5KaISKAU\nzB3DtIluVi5rlZkrK2teHLW8vMMSy9bu/XU8Dz+eqjFLGL39UhnVtYYt6xtYtalV9qiysrkro58l\ny+M4bW7bwdF/3Z/FReN3wsaNTnDfv3+LZQYW/r2SqhrD+jUezprjZtp043RIra525sj5FtcdOS2N\nk8bXcdeNTqBvLew+mMDAoS07VV5zQyqvvptO+RE3W3cnMWJC+009wiIurqkhkDEweWQ1qz+JgGBu\nTwz5Q4MzN2fmKS6Wrej6R+bHb5eTnuwhb2Tnfm/X3JxFcqLl1b+UHPvOgYiUzJzKLAPmbrBsL0pk\n1JR2pgdEmIwUN2XF3bwMh4hId7HWqdrqBgrmjmHaSaZpAXGP2/LiI8Vc/7sxTjYuLc0ZAHVQYtna\nmGkpWAtFO8I/yD1RPfccXPeNBgYOTyQ50UPBZr/fRVWVE2T5ZdeqKzx8vj2Z6We00xUuJgbGjHEW\nyx00yFk812/u28rPLGfPcZM7LJG7Hu7NR88VMtC9y+le6cvKNfrdE6m89FYqSxeWU37EGeBkZLcM\nIHMGJ3DOzAp+O78Uj5ewLEvQWZPHu1mzMvwDtYJ9ceQNC06WYuYZSSxb1/Xy0ccfdfO9a2o6Wp+8\nDWPg5z/1cM+v4kMb54R7zpzKLINmxxc19M+qJzkt8puLpKd4FMyJSM9VV+ec7O8GCuaOYeopCaz8\nIhGP23La5AoeeSyOS6/r5Yw7XC5nrlB2dqe2ZQxMHlXDmmWtgrmyyOj812Pt2wcbN1J6qIF3Pknl\nq992MmJTx9SwcolfZ8HqaqchSUlzJuSDNyqYOLy648FRbq6zWG5OjvNe8MvMrVwXy7SZzYHEyLkD\nMLsLnXLOVsFc75x47rypkscfbWDP9joG9qlrd9D//26O5f7HejFiUG2ng4JwmDLVxZp14R1Qer2w\n51BCpzNhxzJweCJxsZZdGzvuRtmRkoMNvP5BGt+8Me24Hnf+vF4kJXq5+oIj/PXh4tAEdeHuZqkG\nKEGzcU0dY4dGdifLRhmpHspK9DsXkR7K7Xa63nfDd5uCuWMYNTmZAyXx/H7+EeJiLUvWpnPeV9Oa\nB9KzZkFq59fymTzezerP/M5GVlXBRx85i0dL0B1ctx/7+XooLubvv97B2SdXktnXCbCmTvKy6jO/\nORtVVU5w5gvmaqu93HZHHP/5o2PM6xgyxBkIJyU5g9LKSjxuy+otKUw73a/cKSXFyeIeONDuCYBz\nL07k35+ksHtnAwP7tf9+OP3CdIYOqGXE4Mh+v0yemcDqjQGswRcE+wvqyEhxB3WNx5kTq1n2wfEH\nc88/Ws55p1bQJ/f4sqnGwD/eiGPmyZbf/G8Cf5gfgo64/pk5NUCJahu/8DBmZHTMQ8tI9SqYE5Ge\nq3HJKXfoKxAUzB1DTKxh0vBqbr+/F/ffbwLOhkye4mLNOr+XvaLCGcQcPhzYhqWNyjIPg2f0gZNP\nhlmz+HRrFtdc1zywnzo9hlVrfU1EPB4noB4woCmYu+8nRxg7rJ7Lvt25OZEA978xhiceqWHLmmr6\n9mpoChybDBvmZPAS22aLRk5JweOFRe+5GTSg/UGOMXDvzxq45JJOH1JYjJyUzL7i+KaS0XAo3FpH\nfv+23UkDMXOGl2WfHF/Q0VBv+c2fk/nBTV1rWDNoRCI/vKc3f3/Vxb2/S2Pr2upjP+h4+M+Z09IE\nUe2LDS7GjovglL2fjDQFcyLSg3l8J9a6IVmjYK4Tpk9u4PxTypn1pfSAtzX55ATWbPIbyFdUQHw8\nHDwY8LalpV2basnvV4vJSIeYGB7/Zx8uuab5dzj1lERWNrbQr652MmtpaVBfz2P/fZDHX0rjD385\ndudBf7POSeVXf0hh+Ud1TBvXTgand2849dR2H2sMnDWzmuf+mcrA3I4HOZd+K5Mrb8g6ruPqbrFx\nhvFDa1j7SZADj+NQsN1Nfm5wP0Rnnh7PslXHl117+jdHGDygntlfDuzzY8SkZH76wwrmnuXisjNK\nWL04sGUSmvh3swxXZi6cc/Z6kCWrkpg1N7wZ8c7KSPdSVqrft4j0UMrMRZZf/C6DFxYEHsgBjJzc\nKmNRXu6U6R06FJTtS7OdW+oZ0mow759ZzR3mBNVFO2qb58sB970+jgf/lMpHH3ia7tNZp1+YTr/e\nbu59MJFpk49/YHzmmZa9hxMZOCg6zq4fzdmz67jrLsvhouBmxzqrYJclf1BwB4vTZqewZXci+3Z1\nbl5Sfa2X//5NMvf+d3B+nzf/ojdvv+Fkbv/42yC9ro3BVDgzc+HsptlDFG6ppaomhtHTUsJ9KJ2S\nkQ7lZfp9i0gP1RjEKTMXGdIyY4PWHSwm1slYrFvmy1hUVDgt7Y1p0UVRArdzm5cheR3PHzEGpo7x\nzYGqqoJkZ37bOVf1YemKOIZPPP723sbAHT/xsL0ouUXzk84640JnIDYwL/K70R3Lvf+bzSnTG5g5\n3R2WcsuCAmcd82BKSo3hyvPLeezhzmXFFjxfxtDcek45Lzgng4yBiaek8h83JbLo0+PLGnco3MFU\nuNe56yE+fLua2dMqI7oxkr+MdKveXyLSc6nMsmebPLaeNSsanEFMdTWkprK+bBDv/iNIZVMCOMt7\nDBly9MHh16/w8thfjBPM+TJz009PJDun6+3sL/hGJj/+1mFOPvP4z5Dnj0pk8vBKRo6P3GUHOsvl\ngv95PJuTxtfy+IPdP2or2BND/pDgf8TdeFsif34+jfIjbr51SfFRyx3Xr/Uw86Tgf5CPm5FCWVWs\ns25hoMIdTPlnBpWZ67IPP7TMOT16guGMXkbBnIj0XMrM9WwzZxkWvut0PSQ5GVwuKlJzuO7HvSk9\nFNldCqPJzgIXQ4YdPcN11Q968fnWJNYvr27KzAXK5YIHnswmLbNrDS9Wb03tUlYwUv3nnXH89i8p\nNNSHeKBZWgpLlzZddNd7GDIq+EHx+JNTGDW4loljG/jHe+m8+1bH5Y6bt7kYNTr4H7MuF8yZVsmi\nfwVhTmK4gylrlZkLgsUrkphzbnTMlwNIT4ey8ihJI4qIHC/NmevZrvx+Bis3JrHu/cNOww1g1rlp\nXHRGFXfdpFLLYNm5N44hI44eUCUkubjx2goefjGnKTMnwTV1Thoj8+p46dGSY985EBs2OOv8VVZC\ndTULf7mKibNC8zu9+2dwxfnVPHR3Oes+73hAuml7HKMnBGfR8tbOmGNZtCgIwU9jmaUyc1Fr3646\nDpfGMX5m55fJCbeMTJeCORHpuTweiI1VZq6nSkqN4dbvVnLfwwlNwRzAr/6Yzj/eTWX9p1VhPLqe\nwVrYWZTIkDHHbmBy/U/SeXt1Pyq9PScbFmluudnL408Ffx7gn35ZzIWnlrJ90W6or4eBA51mQocO\ntVmYPZjOuDSDB5/qzZSZ8azb3H72z1rYsjuJUZOCs2h5a3PPS+SDZUF4z4Z70XB1swzYsvermTWx\nClcUfaNn9DKUVUTRAYtIz7N+vXMiOBTcbmcZKgVzPdcNt2fw73V92HKoeQ2zzL5xXHJmJR+8HYR5\nMMFw6FDUNmUp3lePy2XbrvPWjt458ezYk0Bquv4cQmX2BWms2pyCuyG4g/VPl0ODG06+pB9bEiZA\nv37OMh8HD4Y0mGs0dloyW/ckUV/bNggq2lFLcoKHXn1Ck5kbOz2FmnoXm1cFePIn3MFUY5lltGTm\nampgyZJwH0ULO7Z5GT4kOhYLb5SR6aKsIvobPYlIlKqogKIi2LPHqegJtmgP5owx840xe4wxq30/\n54ViP9EsLTOWF5/1kDUyu8X1U6fBqtVhOqjWNm92WgJGoZ2b6hiS07n28eAsMSehk9E7lkF96/hi\neXCzzgV7YvnJj2H9xlhGzOztBHBHjkBxcbcEc0mpMeT3q2XzmrZrCm5eV8fowaE7MWMMXPuVCh77\nfYD7iIRultGUmSsvh5ISJxMcIQoLIT8/3EdxfDKyYiirVDAnIt3P6wXvFxthxAgYPpzy5Zuamk8G\njcfjDC6jeM6cBR621k7x/SwM0X6i2tkXJZHdp+WcgakzE1i9IQImsdfWQlmZMyiOQju3NDBkoJrJ\nRJIZE+tYvqTzAXZnFOyLJ39EPP0HuJyW7LGxkJEBqakQ3z0dQSeMrOfzz9o+r01fuBk1LLQf4t+/\nNYWnX0ujuiKAbyH/Mktl5o6tyndCoiTEc0CPQ8FuV0g6t4ZS30EJnD/tYHQE8CLSo6xdWsXJ145y\nzoINHszJ141hw4ogT3GK9sycj2Y2d8H4Gcls2Z1EbXWYBzUHDkBOjhPURdAZ6M7aud3LkPwoGBie\nQGZMtyxfHrzteb2w51A8eSNbzUkbNMiZO9dNJo73sm5t2/fa5k0wamRo9z1kbBIzJ1Tz8mMB9Hj3\nz4wpM3dslZWQkBBZwVxRHPnDQ1POGypZfWP57Q93NAfHIiLdZMemegYNaG6+NXF0PetWBPdkc08J\n5m4yxqw1xjxhjOkVwv30KInJLkYMrHFa5YfT/v1OMJeVFZXZuZ27DEOGhPsoxN/0U+NZvjZ4Wed9\nO2vJTHOTmNzqY2zQIBg8OGj7OZYJk1x8vqFt19TN22MYNSb02ZLvf9/y1+cCKFcLd5ml//6jIZir\nqoLcXGcpjAhReCCevOFRuDZlejqNi80teruGI8VR8PsXkai3Y5uXoYObv+8mjveydk2QP3+6scyy\nawthAcaYd4H+7dx0F/Ao8Avf5XuBh4DvtL7j/Pnzm/4/d+5c5s6d29XD6VGmjqtj9adw0tzuazP9\n4mPlDMyP5fQvJTtvvCNHYNo0Z1Hz4mInsIsCGz+r4pEHa3l5YTrfvj5CGskIAJNOSWHrHktVuYeU\n9MDnyhRsrSe/vwHCW5Y8cUYia//TNFULNtq8K4HRk0I/OJ0yK4kthQEUQkTCouGN+4+GMsvKShg7\nFj75JNxHAkBlqZua+hj65Ebh/LOMDCeYy83l3jtruP2ues65IiPcRyUiPdyOHTB+fPPliVNc/PF/\ng1xQeJTM3KJFi1i0aFHQdtXlYM5ae05n7meM+QvwZnu3+Qdz0mzKZFi1snv3+dLzHq6dVwskO1+u\n6enO/KPevWHt2u49mC4oK7V89UvlfL4tke9daflirYcBQ9OO/UDpNglJLsYPqWD1EstpF6QHvL3C\nnW7yc4NwYAEaPCaJtOQq3n6xlAuucooQ3HUe4mM8DB4T+rULcwYncKTcS12Nl4SkLmQCG8scrQ1v\nmWU0ZObcbucnI8OZk1lZ6czPDKOCLXXk9QVjonCdzIwMZ1RVXs6grCoKd0bhcxCRqLOjMIaLL2u+\nPHFGEutuCXIw5/E4wVw7mbnWCax77rknoF2FqpulfxrnMuDzUOynp5p6chyr1ndvycymHQmMGuKb\nG+f1QoxzlteblsHZt4zjQGGQa4mDLN1VyQ0XFrBrTxz3/DGbAUNDs7aXBObkKfUs/TA49eMFO7zk\nDQz/4N/lggf+u54f3xnXtPRCbE0Fm19YRWxc6KcOx8QacrPr2b21i5nocC8a3pjSjIbMXFUVJDtr\n+1UlZHFoWwBzFYOkYFsD+QOitNlTY2buwAHy+tZSWBD+v2cR6fl27Iln6KjmecZ5IxOpqnVxaG8Q\ne0S43U5SJDY25KWWoZrQcb8xZp0xZi0wB7g1RPvpkSbOTGb9jqRuG1c11HkpOJDA8EG+gM2vXswV\nYxg2zPDoAyFYgyNQHg/UOcdsKsq57MKGrmUmpNvMOcPFh0uCUw5WUGgiph37hVdnkpPt5vH7jzhX\nlJc72e1ukpdTT+H2Lg7o/TNjaoBydFVVTZm4R98axL2/DmOJ7+7dUFFB4U4P+QOja425JgkJzu++\nsJBBw+LZvUd900QktDxuS+GBBPJHN69JZQxMHF7D58trWPF+BSs/rAhsJ42VLjExTjAX4iYoIRn5\nWmu/aa2daK2dZK291Fp7IBT76anSs2KJjbGUHe6es607vqhhYO9aEuJ9A6nGwZXPLbcn8qfnU1t0\n2CzcFQFn0AsL4XNf0rebB8/SNXMuSGHJmuAsHl6wJ4b8oZExT8gYeOgBL7HlfsFcRvfN/cnP9VCw\no4sD+nDPmQt3A5bjUVkJKU4p4MzT41m2OoxNR7Ztg+3bKSiAvEERHgQfTUYG1NeTNz6dwr2R8ffc\nJVVVsGZNuI9CRI5hz/Y6+mY2tGmeNnFMA8uWuLliXiy/uT/A8XdjVg4gLi46gzkJ3IDsevbuDFK6\n11rnS6aDgdKmdfWMGljZfHurTg5jTkphyqgaXvij04rb64Xz51bz+l/D3Jq7sTkLKJiLEn1y48nr\nV8eqxYFneguK4sgf1uVpv0E3eU4G/3HGNudDvLszc4O8FOzq4oA+3MFUuIPJ4+GXmZt6egpf7Eym\npjIMWbG6OmfZmP37KSiA/MFR/FWekQF9+pA3PJ7d+6NreYUWamuhIsCz+SIScjs21jE0t+3UoYkT\n4Zd/zKBvlptP1wU4VcfjaZquRFxc1JZZSoAG9HFTVBCkSL6kxCnJ6aCV9uYNHkblVjYPpFpl5gB+\n9CPL8y85b0xXQx2P/uBzbvxJEqWHmo9xwzo3nu4c11RXO2vgVVY6X6IK5qLC3Jl1LHonsBMV1kLB\ngQTyR4a3k2ULLhdkZsLhw90ezOXnGwp3d7FELdxljlHSAMXjtlz0g0Fs3uf8XpNTXYwZXMPqJWFY\nJ77w/e4AACAASURBVK24GLKzITOTgt0mok5qHLchQ2D8eAaNSGT3oYSWb4H16+HgwbAd2nEJVwMh\nETkuO7a4GZrXNriacnI8xsCrr8dxsCSOw0UBjFP8M3PRWmYpgcvt76FoT5C+GPbvd95MR3wlYFu3\nwqFDTTdv2uJi9JD6DjNzAGdfls5bd3/q3Ke8nNmnw8VnVvHj7/kaAFRXc+Ul1ax4vxvPTFZXOwPm\n/fudP5ykpGM/RsLujLNcfLA4sHKqkoMNuIylV58IO5Ofne2cOImNdc7GdZO8ITEU7Onia9qYGQvn\nOnNR0ADlgTuKqaqPY8S05iB95pR6li0O4oT5zioudjoNDxpE4aEk8kdE4RpzjeLjITGR1IwYEuO8\nFO/zvZ4HDjg/a9ZwcMPh8B5jZ3i9EX0yQqKQx9M8bpOg2bHDMrSddYhnnJXGjq1e8kYmMmNcFZ9+\nEMB6zx6PyiwFBuR4KdobpC+Gfftg2DBnAGCt0wp6796mmzfviGXUKI6amTOxMST2SnQyDr6sw/1/\nyuD0McWwZQusWcMFJx/hX//sxq6X1dXOAtG7dkGaliGIFrPPT+Hjtak01Hf9/f35p9WMGBSB6whm\nZzsD0G7OEucPj6OwqyVqyswd0+fLqnjo8XSeeiGhxUfjzFmGZSvC8DV65AhkZeHJ7kd8vCF3aARl\nqAMwqF8dhVvrcNd7seu/gIkTKR46nRHTM1rM2Y5ICuYk2EpLYcOGcB9Fj7Nzl4shQ9uvZOk70Dkx\ndvJUN8s+DqA00u1uWWapYO7ENGCAoagoCBsqL3f+HTzYKbc8dMh5gx1uPtO5aVcio8fHNn8RtZOZ\nA6BXL+fDxRfMpWXGcu3PB8OePQBc8I1M3nqvmwYV9fXOMfbrBzU1KrGMItkD4hkyoJZVAXSLeuk5\nN1+5MAwZkWPJyHDOxnXz+3HQiER2H0zoWmKr8e9dmbkOPfjLOm7/QQX5o1rOo5h5RhLL1iZ378HU\n1zsnsjIyiImPYfvexG5ZAqM75OU0sHunm0f+u5T/+usY6NOH3sMzmTC8hvdfC/8yEEelMksJNq9X\n76kQ2LE7lqEjj16aPvPUGD5dGUD5eusyS9+cueoKDy89Gvxsq4K5CDVgoIu9+wL/9fzr5Qo2Vuc7\npSxJSbBpEwwd6nzxVFVxuKgej9fQNzeu+UOjseyqtcZgrnFRcXBaS592GkyfzqwvpbOzKIF9u7oh\nO1dT46z3lJLiLMqoYC6qzJ1ZxwddnDdXX+vl7++kMe873TyI7ozGEwxZWd262+S0GNKTPRzc3YW/\nPWXmjqq+1suCD1O58jttF7QeNj6J6joXRTu6L0v81t+q+M/nJ7X/GR3l8nK9FO7y8urrscw+tzlw\nvvTCBl5/LcIHtcrMSbApmAuJHXsTGTrm6ImHk89MYfkXKV1/+f3KLPcWJ7J2jeVwUT1fOq2KeT/I\nCmw+XjsUzEWo3LwYig4G3qb5zvszOGT6OheyspxALCfHKQcrLmbVkmpG5dViYlwtM3Oudt4avXo5\n5T3V1S3LGuPjIS6OuHjDObMqWfhqNzQEqK5uWryXESOgT5/Q71OC5oyzXCxa0uqsVye757zzShkj\n82oZMjZC50hOmQJ9+3b7bvP611GwtQtfEOHuZum/aHkEDlw+eL2ckXm15A5r293MGJh7UiXv/LP7\nmqC8+ncvA4f1jLLK1gYNsqz4zLB+RxLnXNG8tMcl81J444NUvJ4IDpaUmZNgUzAXdBUlbqpqXfTL\nO/pnaJ/ceLLS3GxZ3cXPdr8yy5U7s7jyx7n0HxTLlPENnDOjlKXvBTAfrx0K5iLUgMHxFB0KbFL7\nzg017CuO49TzfIFXdrYT0CUlQXY2VbsOcdNt8dxyY0PLgVRHZZbp6U775eTk9oM94ILzYcFb3XDG\nuLq6ueHJ4MHNgZ1EhdkXpLK09by59993Mq7H8MLzlm98tXvWYIwm+QPcFGzrwusSCZm5xjLPCMxs\n/OMVD5df1HGQfOkl8M/Xu+er1N1geXNRGpdc1TZL2BPk5bt4+f8yuOD0ChKSml/TERMSyUxzs+Lf\n5WE8umNQZk6Czevt9ElO6ZydG2sZklPXqcKG4Xl17NzSxbGGX5nlxVens7EghZoaw++f783sU9ws\n+TC4v1cFcxGqf148+0viAzop89rz1Vx8ZiUxsb53bU4OzJzp/D87m1t+mc3MybXMuzGr5UCqnQYo\ngDPgysg46mLIF38jjWXrkkI/v8E/MydRJ6tfHMNya/nsA9+8udpa56f8GIM1a8mKr+Br304N/UFG\nmfxBHnbt7MJgMtzdLP2DyQg7C+1xW/7571Quv6bj4OnCK9N4f0Ua1RWhH3R9/HY5ef3q2szd6ykG\nDYml3h3D5Ze3HWld8qU6Xn8lAufJNlIWRYJN2d6g27G5gaGDOvc5kpfrYXdBFz/X/deZ84mLdz7X\nTpsbx5Llwe12rWAuQiUkuchIcXNoT9fnn/3jzTguu7xVqabvzVUfk4Tr/7N33+FtlWfjx7+PluXt\nOMOORzxiO4mTOJMMZiDsDS0ttKWDAn1L6UsXbelktKW7b1tK37cttP1RSksLdEAphEIYYSQh01l2\n7DjxiBPHcRwvWev8/jhSLMuyrXFky879uS4uHEmWjqWjc5773PdzP1OyeOj/+eaahZOZg4Hs3jCm\nzLDyu186uPm2JI42xfHE658zJyasNav7Wb/Od9Wr0xf8j7bo7smTPPS5A0zLn5xlZrGYM0exryaK\nXxzvMsfABiwJltk4sLObpRXdI5b0TplhZcX8bl78a/yzRs/8xc21lyVwQBOjkjk20pLdXPq+oXOg\nr7vRxjMvJvAxX9MSbv8VE5xcIDBc/X4vpUXhvaeFBRqHGqL8Tgc2QAmy4oI0duxPoa/buAuAEswl\nsLxpTloaojtxtx7sZ9eBZNZeF7oxiM0G//enTNKn+Ha2wBKr4TJzAHPmQFHRiK990Q1Z3HhlD1//\nTBzXnJPM3IS35gITr7zuu9hw8qTeTKe7e+gDXa5THVM5dky/oCCGmFdlZXdtFFf7xrsBSYJl5l59\nrou3XtbLfctyu3n+ofpRf+eaKzz87Zn4vneaBn9bl8K1N07OrBxAQZmd+lovKelD54svPy+N7j4z\nuzeGOEYkAhl4C6NJmaXh6uuhJMQac6HMKjLR2BxlmDRCMJeSbmZBaS+bXjHuWCbBXALLn+GmpTG6\nL/K6v/WwdsXgeQcjCiyxGikzF6a770vjyRcy6Dgaut649WA/l60+QX9fmCe//n7oCZiIGjhnTkxI\nF16XzkO3btdPVidPQl5e6MxcYyNs26ZnY/2LJYshKpfa2dOQHHk8lihlluOcmfN64ZufOsaNN1vp\nqT+i3xjmRaOrb0rludfS4vr2HdznoN9lYsHKyTlfzm96fui54iYTXH9JD0//MYrOoW1t8V+vSzJz\nwmj+eZiyXxmm/qCZ0vLwxsWFxWYOtUTZiDBw0fAQzl7h4o1XjJv7L8FcAsvL9dDSFF0wt2mjxqoV\nEYwsws3MhSm3KInLz+nitz8NXXq07e0+/v12Fg890BHeEx46pC9ODnpgZzaP+EURiS8100LFAps+\n0PIHc6Eyc01N+jzNAwf0bqoSzIU0Lc+G1aJx+ECEg93xbIASeOFonDNz767v4vdPpbLlhWNcWHVU\nvzHMYK5ojp3sdDc73oxf1mjj+l5WLuidjCsShO3691l56rkoSqxbWvSLQvEUuLSPEEaQfcpw9U1W\nSueE11ywsMRCY2uUc9sCFw0P4cprzEw1hTn+DYMEcwksb6ZGS3N0g6tN262csTqCndDgzBzApz9j\n4Re/TcHjHvo31O7xcMGyTr77cPqg9Ta8Xrjn9nZ+8OX2wb/Q3T2Qmevp0deXExNfTg4cPqxn3aZM\nAat1cEfLri59keSlS/VgLjlZrxEWIVWW9LFnW4TzbMdz0fDAC0fj1U3Tp6nBzaI5DmbOyxq4qBBB\nOffaM/v4z7+MW2Mz+KPY+I7GiuWn96Du7MvSaTlmo6569K63gxw9qu9fnQONuQ7VOPj774wbTA06\nfwphBP8+JaWWhvB64eAROyXzwitVLyy309SWFNZpsadb47tfCUhejFBmCbDmmkw+cdmhQcekWEgw\nl8Dy8hRNzZEHVS6nxo79KSw9J4KAx+DMHMDKizKwWb1s3zD0anVNDVx1mZsbLz/Jz7+tfwHcbrjl\n2uP8c52dnz8atFhjd7c+sAL9/xLMTQ4zZkBzs75uoVKQlgZdXXzqxnYuWNZJ9fONkJ+vf97Tp0tW\nbhTzytzs2emO7JcSJTM3XmWePoebveTlePXgzeHQtyWCRksXXmzipVdCXIk9flzfx8PU3+flJ19r\nZ2FZL/0BseHGrRZWnHl6VyOYLYoPX9fFT74dwRpNJ0/qV8jz8/UqAJ9HftrNd38Y+1qupwSeP4Uw\ngmTmDHX4gIOsNHfIObmhpKSbSUv2hNWI8ODeXn77/0ycOmh3d488FUgpmDULDh4Ma1tGI8FcAisq\nNXOwKfKTTfXb3RTn9g80NwlHHDJzSsGcYicHaocOLmvqzVTMM/PgtzW+emMdAO0HTmJxO3hnu520\nFA/vrAu4ytHTozfCcLslMzeZpKXpg+UMX6Oe9HR2vNLOX19I46rL3Kz9xGwOMUu/b/FivQGPGNa8\neRFODfIPQI3OzPX26kHMaBIoM9fSrDEz19fZ027X/4YIMnNrrkxjw/Y0nA4vzsC+VU1NsGtXWO9t\nf5+X85Z3s+5lM3/+/CaSfBWFbpfGln2pLD9Xmj598YEMnngunUM1I5cTv/tmPyePu/WsXE6OfjEo\nIJh79qUkahsNbCYjmTlhNAnmDFW/10lpfmTVE7Ny+mmsH31uW2Odi8JpfdDaCh0delYubZQllAoL\n9RJwd4QXYEOQYC6BlVRYOdAceUnZpjednFEVYblPHDJzACVFXhrqhx6Iag8mUT7fRlpeBrbeEwDk\n2Dr4zYNtpGaYed9VDp583PcF6u8fyNr09kowN9kUFAx0qExP5+7vTeXrn+nis9+aSl1jErPm+T5r\nm00vwxTDqlxoZs/+CC7i+JclAGODqf37YefOyF5/nDNzLa0m8vJ9F7FSU/Vg1GIZcd5DoOwcKxWz\n+vjFtzqYX9rH1td8zXxOnNDf29bWUZ/jy5/oIHeah+c2ZLGgqOvU57F7cy8F0/vJmi77//R8G7ff\n2MW9X+wdcXf566+Os3Shk43rOvUKgKlT9c/C46G5zsGBFjtOl4njRwxqQiADb2E0A8ssf/qNdk60\nGddwY6w5HV4e+X47H7nqOG+9EN0yMPU1bkoLIwucCme6OVQXRjDX4KFwhlM/zh8+rK/rPBq7HXJz\nR19fNwwSzCWw4nnJNB4Nr1430KZNsHxZhIOywIGcQZk5gOJifapToP4+Ly3tNornJevt6E0mvZzp\nxAnIygLgfR+x85fnfaWWPT0DGZyeHv0/WZZg8qio0EuggG2Hsmk4lsYnvqyvZTjahS0x2LwldnbX\nR5Bt8HeyhGGDqR98uZ19W3oG37hhg96UaLjnPHxYL1Xs6Qn9mFCvP86ZucNHTMws8AVuaWl6RifC\n48xF5zq5/6cZPPjJQyzJadEHYd3dUFk59EAY5NV/dPL0Cyk8+mSa/pYEfB6bXndwxkLj5uNNdF+4\nL50tu2zkZjv57Y9CZ4Af/OQhvvu5Nm5+cB69yVPBbObLf6zi7787znN/6eHSs7qomNVH7c4oumOG\nEnj+FMIIBl0geP25k3zmgam89vwox+ME9svvdPDwIzaOHDPx4nPRLdm1c4dGaXFk7+WsfC+NB0f/\nncZDGoWzbQNl9Xl54b3A4sUjrt0cLgnmEpg9xUR2upuW+shONpt2JHHGWRFm9AIHckZm5srMHDg0\n+Mp23a4+inL6sdp8g7iMDH0SaEAwV7k8lSnpbjY8f1IfDKWm6v/5S58kMzcpLT47jc27UrAmyaEp\nGvmz7fT1m2k9GObAP7jMMWjQ4HZp3P+zTD5xq3tgjNrRoV982bs39FISR4/q3+n8fD2o82lrdrJ7\nc9BgIvD1x3lpgpY2C3mFvmNVaqq+pmGEwdxXvpdJzV6N935i6kCX1vR0yMvjzu/P4mv/dWxoYOzz\n1usu3ndFD9k5vuxbwDF540ZYcYYECX5TZ9rYVpvGQ9/t5k9/GeZY4fXy3o+kUl2XQkqa/pgbbs3g\nts9n8j//a+fKK6Gi2EXNLsnMiQRlQGZO0+Cee6C8oJdtm2Mv5xsPmgaPPJ7ED77r5f3v9VJ/IPLx\nwa6NPfz+mXQ++qnIxo6FhcNftwzU2GyisNikVxlZLPpxfwzJiCnBleT3c2Bf+Fchers81DQms+jM\nCIOdeGXmyiw0NA8uDarZ6aS8KOBvyszUr2b09g76AnzwPQ7+8FuXHsz5M3MnTujbJx0NJ60xPgZO\nKkrBrTec4PabRy5BOyW4zDIoO7ZtQw+FM/rp7DLzxC98GZCGBpg9m7YZ87niYiduV1CQ0dysB3Iz\nZ54K5rxeuPGaPj57Z9DAOYGWJjh8zEZese+4kpamz9GNMJhLn2LR10nLztYD3bY2/QKVUtxy91Sc\nTlh1ng2nY+jf2dioKCwMOO4GBLcXLTvOpZdIMBds0Yok6hqHORf4LhQEVmYvOy+dJ3/fR0eXhUtv\nSKd8tpfaGoP2OcnMCaMZ0FTnqd900HHSzL1fcrC92sCGP2No8ytddPeaWXNNJqXlZuoPRdYIyuXU\n+PDNXr5zTxcllZGtT1w4S9EYRiPCxhYThcVmKC3Vq43GmARzCa64wB2ygchwNr3SzcLSXuwpEX60\ncWiAAlA8105Da9Kg81vtPi8VswP+pqwsvUlAevqgjOAHb0/jry+m4zjmC+ZSU/XBkWTlhBjWd/8v\nm/YTZu6/q33EceUXPtbOU4+cGPxdDyq1fP2lftasdPDLX3j576+m8cv723C3HIWCAqYtyqen38Jj\nPwto7+5269/RmTMhO5u//yeN1//RwcMPtNPSZmF7TdCJNEEyc06HlxM9FqYX+DqO+I8x0ZZzm0x6\nQHfgwKlqg6Vnp/D9R6dRMtPB5vVDO/w2HTZRWGQa/By+z+K957dTXiZBQjD/VIQhFxRg2AqTNddk\n0nIsSZ/jONdEzX6DhkGSmRNG82fkotyn/vCz49xxdyq/+qWHZWcmsW2vgQ1/xtCj/+vklht7MJmg\ndF4S9RH2knjnpS48XsWtX4y8G/asUguHWkYPHhtbrRSWWPW5ub5pI2NJgrkEVzLLy4EQDUSG89br\nLlYvi6KeOE4NUDKyLdhtXtqaB7apphYqKgIGkJmZepMT36DHr7DczqLyPp573qQPrlJSorpaLsTp\nxGY38eQzNp55PonrL+ig/fDQ44Gmwa/+nMkXHsjgtp9UDsRQQZm51zeYOOdcxaqLM3jpOSdP/t3G\nV59aClYrSsG3v6247wfJ9Pf5jlGtrfrJzGoFpWi2lfDpz1u553uZPP0UuD1qcAlocGZwnAbCrYec\nzMhyDhz2kpP1xicjtZYezfTp+hqJU6YMuvm8VU7Wrxta2td42EJBccCgIfD9MPCYPJkkJZvIzXaG\n7mw5wnvmv35RXmml5oBBTWWkm6Uwmv/CehTHxV0be/j8N1NZ/5KLsy7LoKwqhSMdVjrbJ1appdcL\nf34+g4/coU+gzytJov2klb7u8EtPDzd5KC9yRZWjKJxto/HIyMGjpkHj0SQKy5IifwGDyNkhwZWU\nKhoODuyBrQf7ufuWY1y7poMN64autfPWRjOrz4xij41TZg6gJK+fA3v1AZzbpbF1l43yeQGDFv9C\n0EHBHMDNH/Dw2CsFA8GcUpKZE2IU+bPtbNyZgj1J4wffGNop68ihfmxWLzt2W7nkhoyBr3vAcUDT\n4I2tqZx9sX7xZPHZaby8OZNvPjT91POcdVkGlaX9/Pr7vhJMf4mlzx1fyWJbbRodnWbmLU9lcUUf\n294OWPA5uAHLOA2EDx9yMXNaUIBVUDCwZEY0pk/Xg9qg49V555t4dcPQcqemo0n6BHq/OM1jnmxK\nC5zU7w1xATPwQsEwyhfaqW1KNma3k3XmhNG8Xv0YEsWcuU1vOLhwdQ+Vy/Xjj9miWFDay463I1ij\nMQHs39FLZpqbwnI9q2i2KGbl9NOwN/xeEq0tXnJnRPe9zCtJoq3Thss5/EGi46gLi1kjI3v81gGV\ns0OCKym3cKBxYAf53x92s3ufhQ+tbaU8d3DzAU2Dt7ansnptFJmrOGXmAIrzXTTUumg/7OTSM08y\nJcPDmRcHtSksK9MHP0He87EMUqaloCnfosbJyRLMCRGGpGQTN33AxPbqoSeY2up+KmY5SJ9i4b0f\nDfguBhwH9m3pIcXuOXUS9d8dnBj/7o+slFsP6vNZOzr0Nb2CWKx6wLZ4gXtgEn5nZ8Jk5loOucmb\nEXTFuqqKUwu9RSM9HS64YMiFsXMvT+OtHWmDBgeOXi+dPWZmFAa8ngRzYZld5KZuX4hsQxjv2ZQZ\nVuw2b/gNg0YimTlhNK9Xb6YRxXFxx3aNqvmDf29xpYttmybW8gRb3nKwZO7gwK20wEn9vvD/jtZW\njdzc6L6XFqsiZ4qT5vrhjxGN+/v1ZQnGkZwdElzJHNugteZeecPCp/8b3ntFHzOyB5/A6nf1YbV4\nBw2+whbPzFyRXir6yQ93U17i5vkNmSSnBV2Znj075MApI9vCH58NyBzk5g4pWxJChLZopZ0dtUOP\nBzW7XFSUhBgAm0w01vSxuLyb666Hc5b1DX1MkKrVqVzyvkx4+209kBthXbbFSxTbdpj0oO+11/SA\nLtrMXE8P1NWF//gRHG72MjPKK7cjCtGoKTvHSkmegy2vDcyba9rvIG+ac3DsIcFcWEpLhtkNArO+\nI6iY5aC22sBgTjJzwigxBHPbd1lZtHzwhbxFi2D7DqM2bmxsfdfL0sWDM5OlszzU14bIVr71lj4V\nJ0jrEUVubvRj2lm5Thrrhg/WGutdFOaOb5AsZ4cEV1hup/W4nuLt7fLw7t5Uzr40PeSaTG+93Mfq\nRb3RxWHxzMwVK555Lok3tqTyo0eyTl2lj8r8+bL4mBBhmlVhp7vPzLGWwSei2lqN8rIQAwSlePTh\nPqrmOHn4p26++7Mws/yzZ+sXWYqKRnzY4pVJbNuTpDcGSUnRO2NGm5k7fBhqagxZULelWSNv5thl\nVM5b2c/6FwYCiKYDLgpzggYLEsyFZXaZor4hxDnF6w1rwfeKEhf7jFieQNP0gbdk5oRRoiyz1DTY\nXptM1RmDL+QtPsPKtt0TqxP41p0WlgQFpaWlGvX1QQ90ufTlZEIsl9N61ExufvSdPAtnujlUP/Ti\np6b55ssd9FKYH/t5KBZRnx2UUjcopXYppTxKqaVB992jlKpVSu1VSl0c+2aevixWxcyp+gTvN1/s\nZlF5L2mZ5pAL/L72msbqlVGeSOKZmSszs3FPOl/7TDcp6ROzNa4QE5FSUFXWx453BmfYavabqZg7\n9Lvo0Uw8+lQWn/uyjfOvzSR/dphZfqVg5cpRFz+dsySFQ0ft9DQehxUr9OxatJm54755ekeOhP87\nwzh8RJGXb9wxbzTX3WDht39OxuPW/97GBg+FeUGDgcD3Q4K5Yc2eZ6PukD5APdwSsP+EmZmrnAe7\ndxmwIf7gUTJzwihRZuYOH3CgFMwsGXz8rqiys79p4nS01DTYsjeFpWcNbkRVWmam/mDQ8bDHt35n\n99BOwa3HzOQWxBDM5XtpPDT0M/j199p579oODh2CwoKon94QsZwddgLXAa8F3qiUqgTeD1QClwIP\nK6XkLBSD2QVO3lnfx8svurjgbN/V26BgbsurXfztpXTef0uU88mC15kzcOCw8Aw75y3p5Na7pTxS\niLG2qNLFji2DryrWNNiomD+0i99/tmYzPdvN4rPjk/222hSVxb3s7C7R55TNmBFdZk7T9GCuvBxa\nWmLerpZWMzNjONlHas01mUyf4uGJh/VlHZoaNQrygv52ycyFpXReEnXNdra82sXyqn4c/uk1Yb5n\nlQvN7K4x4LPXND2Yk8ycMEqUwdyOTQ6qyvqGXMvIzrXh8SpOtE2MeXNN+x1YzBoziwdPwSmdY+VA\nU9D5y5+R8wd1AVrbreQWRN+1dtYsxaFDQy8M7aqGv7+aya//nE7hrKif3hBRnx00TduraVpNiLuu\nAZ7QNM2laVoDsB9YEe3rCLj3PsVnvpbGE/9I5YKLfTtkQPDV1+3hQx8x8T/f6qagLIarLv7BVJhX\nNMNVWG5n/ZZMbHYZjAgx1qoWwfYdSm9Q8tZbeD0adS12yhYObbv/m3/l8fEPxXci9113QXplof4P\nf3kmhCwdH1ZXlz7HtqhIL61xx9Zuu6XNQl7h2AVzSsH992nc9307bpdGYyODFwz3P0iCuVFl51gx\nmzVu/oiJ+2/ai91/Cgw3mFuSxO56A7IVkpkTRvMHcxGWWW7f7GbR/KEBm1JQnOugYZ8Bc0THwJYN\nfSyZM3Tedsk8O/Ut9sGni+5ufZmroMyc1wttnbbBzaUiVFhkorFl6LGkqcXEfXcdx+E0UVQ6fp0s\nIT5z5vKApoB/NwFjv4LeJHLOFRn89he99DtNrL44Xb8x4KrtG8+eYPm8Xj5w58glTqPyl/UYnJkT\nQoyfqqVWduy1QnU1dHbS+GYjUzNcpGYMDV4uvdbOTZ8cukSIkW7+ZDrzl/jmbUydqgd0ELJ0fFjH\nj+slnVYr3/rbAv74y86ot8fR66WuOXRwG0/nX5tJ/gwXjz/UQWNL0ILhMLT0XY7JwyrNc5CZ7uFj\nl7ToA1//KC+Mi5JFc5Pp6LJw8niM62/5gznJzAmjRJuZ22WialHofd/fXXwi2Pqul6WLhn4vM6da\nSEv2cHBfQJfL7m69QV5QZq79sJPMVDdWWwwNUEotNLYOzew1HzFz/sU2qre6Oe/qzKif3wgjhpJK\nqXVAboi7vqJp2j8jeJ2QR7d777331M9r1qxhzZo1ETzl6eWKD2bRdFPA+TzgKvZFZ/dxYUUbn+eZ\negAAIABJREFUMLS1f0T8z2lwZk4IMX4WrExlT4O+xqNl8WJqHjlExaxMYGg24pa70sd8+06JJDPX\n3n5qCYSzLk3n9jut3PAJLaoT9jsvdTG/xET6lLH/2++7F275r2SSk7wUloxQZunxSDA3gi/8t4sl\nq5IwtQW8Z2G+XyYTzC3qY88WWHlhDPuAv8xSMnPCKP4GKH2jdxUOtGVXEl/4cuj9sLjQS0Nw85AE\n5HFrPPlPOz//ceiLLBes6OE//9D4+Fzfeay7GyoqYP/+QX0fWhtd5GZrQPSNXwrLkjjUOvTc0nTU\nRkGp3mgsUuvXr2f9+vVRb1OwEYM5TdMuiuI5m4HCgH8X+G4bIjCYE6MbqW21Mhtwovc/p1wFFmLS\nSMs0U5DTR33qQipys6htO0l5qGUJxluYmTmvF669cxZ/eCaVDPQMV+EDnfy/nzr4+N2RVyesf8nF\nmjMBxj6YO+/qTIrv7+TldzMpmD1MN8sIskynq5s+5fvcX4w8mAOoLHOxezusvDCGjZDMnDBaFJm5\n2u29nOi2sOjs0GWFxcV6E+FE98TDHWRnWLjgutAZr4sugn+/oPj4F9G/c319+jzspCTo7T21HnFr\no4vcabFty7Q8G31OD92dHr0BIfrF0aMnbMwsju64HJzAuu+++2LaRqNG7IF/zT+AG5VSNqVUCVAO\nbDTodYRfPLpPSmZOiElpZ20yFSv08snClXlcfn0Mi2HHS5iZuc2vdFHbkkJG7sCyCQ98S/HAj5Lp\n74s8K7J+g5U1a8dvvsN99yvSkt1Mzw+6cuwve5f5cuHzZ8YifM8q53nZvSvGjJo0QBFG8y93EUEw\n9/Qferl2bfewu39xqYmDjYl9PHE5Ne79np1vPaANOxS96JoUXno7Te8I3NMDdrv+nU9LG1Rq2dri\nJXd6bN9tpaBwRj+NtQNlnUcO9TM1wxVT+aaRYlma4DqlVCOwCnhOKfU8gKZpu4Engd3A88AdmiZH\nN8PFY104ycwJMSklBcRuV92UxjUfSMC1GoOXJti3T19LLsjTf+rn+ssGlx2ddVkG99zcjLO5Tb/h\nxImwSpMcvV427U7lrEvG7/04+/IMDuz3Dh20+I/HEsyFz2TSS1IjDeYWWti9L8aAXhqgCKNFkZl7\n+rkk3vP+4ffl4nILDc3Rd3YcC889foK86S7WXDP8PLSCMju52S62vNatl1j61x9OTR3UBKX1sEbO\njNhDkMIcF431A3MNmxtc5E+Pb7OwSMTSzfIZTdMKNU1L1jQtV9O0ywLu+46maWWaps3VNO0FYzZV\nDBKPttWSmRNCjJfA7o2aptcC7dwJzoETpqbBU8+ncP1NQzOLn/i0jfQTjfqD3n0XDh0K+TIBT8fG\nl7upLO4jI3t8O5FNywsxnyOwu7AEc+GJMgCuXGxjV12M2WopsxRG8ldcmc1hd7NsrHWwvymJ867K\nGPYxxRVJNLQO7OsnTsDvHxq60PZ4emuDh4vWjD4V4KJzHDz7VD/b3+qlqdvXuCstjbptXZy3pJMf\nfaWd1lbIzY39Ozkr382hAwOfQ1ODm4KcxJmuIGeIiSp4XTgjgq/AzJwEc0KIsaSUfhW6t1dvcJKa\nCnl5sHfvqYfs2tiD06VYem6I+W15efoyBQ0N0N8/sO5QgKb9DhbM7qOpXo/o1q9zsWZ1grbplsxc\n5KKsLimpTOZIh43ershawA8SRUmciNFkDpz93/sIuvw+84cerlrTPWLpX3auDbdnYK0598lePnNP\nYi0kvnGrlRWrR18q5sprLXz7f7P5wGdz2Nw8E4BtDVms+thcVi1z8f1fplF/0ETuzNiPn0Wz4MGf\npnD1uR0cbuinudFL/szE+a7LGWKiildmzv+cEswJIcZacTHU1eG7nApz50JbGxw8CMDTj/Vw/SW9\noQ9PFou+CPmuXTBnzqlSm54e2LWpl8ZaB1dc6ubWCxsomKqXYH7ksqPceasjxJMlAAnmIufPYkT4\nnpktilkz+ge3Oo+U/zUnc4CRSHp74bXXxnsr4se/P4VZuqtp8Ns/JvHBm0fe7/1rzR2s0S9iTZ3i\nxeOBjqOJsVyBx63x7p5UzliTOupjL3xPJv39il0NqVx7s36Bb+E5WWzYoPjeb6Zx5uJe/vFaFrn5\nsa8h+tl7M/n1L5xoGjzzWDdNTRoFBTE/rWHkDDFRxWvOnMcjgZwQYnyUlEBzM7S06MGcxQKrV+vt\npl97jaq8Y3z0jpThf7+oCKZN05+ntxc0jdp3jvPe93hZuMTM+av7ufsTJ/XMHVA0tZtZ47zY67Bk\nDnPkAgPgCM9jRXlODtZFOaCNIosiYtTTo1+wmazBs38f9o/LRvHu+i46u82sfc/o64QGrjWnNC8l\nOb0c2GPsRa2jTU5+9d12Hv3hcTrbwy9H3Lull5xsJ9k54c3rM1sGf8/NZqhYoJetf/mrFrxeRW5B\n7Mf4zKl6Z80b36ex7mUTzS0mCgoTZ6ycoGcxMap4dbOU9YyEEOMlKQny8/VySf+E9pQUPaBrb+fa\ncwpGPtZNnar/B3p3s54eFs88wp6XzPoaREyFbY2ngjn6+wd3h0kkJhO4XHJMjkRgMGeO7Gp8caGH\nhv1Rvq4/4DaZwJ0482gmNYdD/5wdDkhODn1fyggXfhLdKJm5p37XRXqG4uLr9ePkr3/h5OM39WMy\nJQ95bLBBa81pGqW5vdTX2Fl6nnGb/9jDXfzhL0n0uxRwklu+MMqyMV1dkJTExtf7WVEFEPtnt/LC\ndH5+bzvlVVNifi6/tVencudXTMwv6SN/VuJcSJBgbqKKR2bOH8xJZk4IMV7mztWzaoFSUiIfmKWn\n6wOE48f1sku/pKSJE8zJ0gSR8ZdZms2RZ+ZmaRw8GOW5z59FCZyqIOLL4csk9fUNDebq6vROR0uW\njP12GWWUbO+fH3dxzdnH4foyujs9/OWFdKq3h7fvrVjqxtE7ME2nNKeXA3XRL6odyo6dijtv6+dY\nm8au6jC+V5s2gd3OxnfmcMYy47bjzm9ONe7JgNyiJApndPP2rjQKShKnRF/OEBNVPObM+dP5MnAQ\nQowXqxUyh29JHba0NOjshJMnYUrAldmJFMxJmWVkYphnWFxiouFQlMFcYGZuspb9JRp/MBd84Qf0\nFo0nTozt9hgtMJgLUWa5fa+dRdOaoa+PY1sb+eyH2sgrDa+Ryc3X93Dbe46fep2SnF7q60f+nUht\n32ujarmNBYstVO8dJUve1qaX1CvFpq1mVpyV2EsnXHROPx6vifzSxDl3yBliogruZmlkAxTJzAkh\nJrr0dGhq0v8fWHLnD+bc7oHW34nIfzyWC2zhiyGYK5pt4WBzlMVKkpkbew6H/t0ODua8Xv0CjsMx\nbMmr1wutBxO0i63fCJm57k4PjW1JzFmZBQ0NFDtr+PoPIrgAFjR+LJ3ZR/0h446DLqfGvkPJzD8j\nhQXL7VTvHyXIbGiA4mI8VUvo6LOz5OzRm5+Mp4suM5OV5iI1I3HOHXKGmKiCM3NGLU0gAwchxGSQ\nnq6XYE0NKrOx2fQSrETOyoFk5qIRZTdLgOIKGw0tUe4PgQNvycyNDYcDsrOHBnMnT+ol2ZmZIbNz\nTz/SwfySHuYtMCX2RzXCnLmdb/dQWdyLtaxIbw41Y8bAHONwBI0fS2Z5ONBsXJnl3i29FOU4SEk3\nM6vCTlevZdhumQ17Hax7SUF+PuZUO3VNdpLTEidICuWCazL41Y+6R3/gGJIzxEQVr6UJZM6cEGIy\n8A9usoMm3vszcxMlmJM5c+GL4T2bWZxE+0kL/X1RZNb8Abdk5mLT2Rn+Y4cL5jo69LLqrKwhwZzH\nrfFfn0/lx991YVIaRxsTODsXWLobVGa5bZOLxZVO/W8sKho8JzgcQePH4tlmDh1JwuM2Jrrdsamf\nRXP191YpmF/ay67NffSc9AxZ/uPlZ3v5w5sliVshEYLNbuKG241rqmIEOUNMVPFcmkAGDkKIic5s\n1gc6wZm5iRbMyTE5fDEEc2aLomC6k0M1UTQ1CCyzTOh0T4LbtElfcmA0mqZn16dM0bPvgU6cGDaY\n2/ifLnKynVx2UxblhQ7270rgYM7/vfdfXA/Yr7Zvh0VVvn9UVQ1tADOawAyyppGcZiY73U1zfT9X\nn9vBI99vj2nTt2/TqFowcFFjwRwX1Vtd3PuZDm778ODvV91+L2WzY3o5gQRzE1c8lyaQzJwQYjKo\nqtIn1gey2fSW/w6H/nOikjLLyMVQZglQNNNJQ40z8teVdeaM4fGEtaYa/f36dzclRf8eBwbQI2Tm\nnn3GyVUX6cFEWZGb/XsTeBmJwO99UKnltt1WFp8RQ5OQEJVdpfn9/PiBHuoO2fj2T1L4/peiD+h2\n7DZTtWQg07ZgPrz5luI3f8lke83gwHN/vYmychlzxkrOEBOVZOaEECJySukdM7u7Ez8zJ0sTRCbG\nALi40MPB+jCCiWD+C6qSmYtNuMGcw6GvI6mU/n9fdu61f3byke/MwZuSBikp/P2NbO688Rgfuvw4\nXR1u/rnOzpXX6Rdwysu81O5L4MA78HvvG5v98aHj7N/Ry866FKpWxbAOW2A5sC+rXDrLzc8ez+b7\n33bx+huK+36aSV93FN8FYHtNMotWDgRt8xdZePz5KVy8uguX28SRQwMZ0f0Hrcyem9jdKycCOUNM\nVDJnTgghomOz6Y0SEj2YkzlzkYmxNLVolpeGA1EEY5KZM4Y/qzoafzAHkJyMt7uXz364nQ/cksR1\nH0o99dHv7C6luEQf0lx2Xi+H222svDAdgLJyE/sPJPD3KiiY87o8fPzzmZxxlpWcKS4yp8awTHRw\nZZfJxOxSLysru7j8A1nkz7azoLSPjS9H3uTjaJMTh9NEYflAB8sFy+14vYrPf8nKoopetr/dd+ql\n65rtlC0Ib0kFMbwE3pPFiIJqniUzJ4QQYUpKmljBnFxgC4+/HC3azFyJiYZDUZz/AhugSGYuOv6M\nXCSZOcBrT+G2jzjZWm2hereZaz+adephX/thFl94cBqPPjOFtFQvV5/fhdmif5fK5lnZfzCBM0KB\n33uzmcaaPrLTXezbo/Hnx2MsDw3RDf2ur2fyt38lnXrJc1f189rLkb/Ou6/3snRO76BDVm5REm+9\ncJIVa9NZVOlm+xb9M24/7EQpyM5J4M9hgoghtBfjKkSa3JDnlMycEGKyS0rS16BK5GDOf4z3eidU\np7dx5b8gGWU2c9V5SXzxfgtdHW7Sp0QwPPKfgyUzF70og7mfP1PA/lYb/3o1ddh1v6w2xXOvZ+Jy\nDgTa5Qvt1DYa13LAcEGZudrqfiqKzMwoyGRGQYxzfQOTAb7XyZo+OKA693wzP/t55G/Mlk1ullYN\nvX3VxRkAVC1SvPKKflvdLgdlBQqQYC5WkoKZqEJ8GQ15TgnmhBCTnT+IS+RgTsosIxfjezZnaSoX\nre7hp/cPXZ9sRP7Xk8xc9CIJ5vr6TgVzt39lGs+9njHqAs5mi8KeMrBPZOdYMZvgWEsUDW/GQuA+\nbDZTs8dDRYlBDVsCkwHDZLHPviSNt6vTBgXA4Xh3q5llZwz/3Vt0hpXte/VgdP9eN7NnhV5/TkRG\nzhATVXBmzsg5czJwEEJMZhLMTU4GvGfffNDO/zyaMewixyEFrgkmmbnoRBDMtTZ70JL0YC45ObL1\nsgOVFzrYXx3FUhQR8Ff9RvWLAZm5mlpFRYVBGxWizDLYlBlWSvMcbHktsnlzW/bYWbp6+Dlw889I\npbYpmf4+L3W1XspK5PtiBDlDTFTBc+akzFIIIcKTlKSXLgYvW5BIpJtl5Pxz5mKYelC+KIXLz+nm\ntz89Gf4vyTpzsQsjmOvu9PDV/zrG/A9UUduaHvNLlhW7qN0T3+UJ/vFYJx+6MsJMLwwN5hqsVMwz\n6DgQZgO9c1f08+q68DOX7YedHD9ppaxq+E6b9hQTpTMd7N3Sqy9LUCHjTSPIGWKiikdmThqgCCFO\nBzZbYmflQBqgRCPGOXN+N7xf8ey/Iwj0JTMXuzCCue9+qYPN2yxs3+Kloir2DohlJV5qa+L7eT3+\nmJc1845E/ovBwVxTKhXzDVoXM8wGemedo3h7Y/jfoy1v9LJkTs+oX73zVzt48H4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BoGNkCJJTMnxl+EAb9IXJJfFUIIIYSIpxgzc2aLoii3n4a9epOSrg43f3splbWXBWTRsrP1+XIz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\nUgf9BjBhbgMIaiYNAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x7f5608cd56d0>"
]
}
],
"prompt_number": 14
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"figure( figsize=(15,5))\n",
"plot(df.Data, color='r', alpha=0.3, label='Data')\n",
"rs_spikeless = df.Data.copy()\n",
"rs_spikeless[df.relstd_spike] = np.nan\n",
"plot(rs_spikeless, label=\"Filtered\")\n",
"title(\"Relative Standard Deviation Method\")\n",
"legend()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 15,
"text": [
"<matplotlib.legend.Legend at 0x7f56089a9a90>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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WMfe/dR8pIyIidddggrn+o6JJ2RfO+8+nERNZTFzTisM/+oyIIdRtWTb76NW0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Nuj0Wob+PNroxXff/5xNYFBGpInckHM1ZQYAInYCUOf/GRE4nDmAoVYHgkIFTCc8UUCFIFAIBAI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\nKZkTERERERHphpTMiYiIiIiIdEP/DxqthAFWCU0IAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x7f561010d510>"
]
}
],
"prompt_number": 15
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Adapted to a Stream of Data"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"stream = df.Data.as_matrix()"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 16
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"def smooth_temp_filter( stream ):\n",
" for i in range( len(stream) ):\n",
" x = stream[i-2:i+1]\n",
" if len(x) < 3:\n",
" yield np.nan\n",
" elif smooth_temp_detect( x ):\n",
" yield np.nan\n",
" else:\n",
" yield x[-2]"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 17
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"smooth_temp_result = [x for x in smooth_temp_filter( stream )]"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 18
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"def rel_std_filter( stream, thresh=2.0 ):\n",
" for i in range( len(stream) ):\n",
" x = stream[i-2:i+1]\n",
" if len(x) < 3:\n",
" yield np.nan\n",
" elif rel_std_detect( x, thresh=thresh ):\n",
" yield np.nan\n",
" else:\n",
" yield x[-1]"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 19
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"rel_std_result = [x for x in rel_std_filter( stream )]"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 20
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"figure( figsize=(15,5) )\n",
"plot( stream, alpha=0.3, color='r' )\n",
"plot( smooth_temp_result[1:] )\n",
"title( \"Smooth Temps Filter\" )"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 21,
"text": [
"<matplotlib.text.Text at 0x7f56089938d0>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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OZ8wYoMyj2W4fQfHllznxymvqP7+emurs2LwnGkvPjUbqGCeOlwUpOxXMNXPu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\nCUiCOSGEEEIIIYSYgP4/0Qrn3XKdl10AAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x7f5608a29110>"
]
}
],
"prompt_number": 21
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"figure( figsize=(15,5) )\n",
"plot( stream, alpha=0.3, color='r' )\n",
"plot( rel_std_result )\n",
"title( \"Relative Standard Deviation Filter\" )"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 22,
"text": [
"<matplotlib.text.Text at 0x7f560886ba50>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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zZ1qeeTdyPx+1BqN+P8Q4gdT8FfE8/PdEvlxRxlvPFXLud0Lf4Sz1+Fm0NhFP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\nS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"text": [
"<matplotlib.figure.Figure at 0x7f560889c050>"
]
}
],
"prompt_number": 22
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"This was done by $jkibele @ gmail.com$ 2 Feb 2015 for pretty much no reason."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 22
}
],
"metadata": {}
}
]
}
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