{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Rainy Lake Water Levels" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The purpose of this notebook is to create a data series for the water level on Rainy Lake. The data series is written to a file `RL.pkl` that can be read into other notebooks using `RL = pd.read_pickle('/data/RL.pkl')`.\n", "\n", "The data series is constructed using data from stations 05PB007 and 05PB024 from the Water Survey of Canada. The data from the two stations are reconciled and combined to form a unique data series." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Read Data from Water Survey of Canada" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The Water Survey of Canada currently maintains two stations on Rainy Lake recording lake levels. Station 05PB007, located near Fort Frances, has been in place since 1911. The other, near Bear Pass, has been in operation since 1988. \n", "\n", "The data set is imported into the workspace by running the Water Survey of Canada notebook." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# Display graphics inline with the notebook\n", "%matplotlib inline\n", "\n", "# Standard Python modules\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import pandas as pd\n", "import os\n", "import datetime\n", "\n", "import seaborn as sns\n", "sns.set_context('talk')\n", "\n", "# Modules to display images and data tables\n", "from IPython.display import Image\n", "from IPython.core.display import display\n", "import requests\n", "\n", "WSC_STATIONS = pd.read_pickle('../data/WSC_STATIONS')\n", "WSC_LEVELS = pd.read_pickle('../data/WSC_LEVELS')\n", "\n", "def mapWSC(stationList):\n", " # returns a .png map image\n", " S = WSC_STATIONS.ix[stationList,['STATION_NAME','LATITUDE','LONGITUDE']]\n", " locs = [\"{0},{1}\".format(S.ix[s,'LATITUDE'], S.ix[s,'LONGITUDE']) \\\n", " for s in S.index]\n", " google_maps_url = \\\n", " \"https://maps.googleapis.com/maps/api/staticmap?\" + \\\n", " \"size=640x320\" + \\\n", " \"&maptype=terrain\" + \\\n", " \"&markers=color:red%7Csize:mid%7C\" + \"|\".join(locs)\n", " display(S)\n", " return Image(requests.get(google_maps_url).content)" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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STATION_NAMELATITUDELONGITUDE
STATION_NUMBER
05PB007RAINY LAKE NEAR FORT FRANCES48.64912-93.32068
05PB024RAINY LAKE NEAR BEAR PASS48.70058-92.95800
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" ], "text/plain": [ " STATION_NAME LATITUDE LONGITUDE\n", "STATION_NUMBER \n", "05PB007 RAINY LAKE NEAR FORT FRANCES 48.64912 -93.32068\n", "05PB024 RAINY LAKE NEAR BEAR PASS 48.70058 -92.95800" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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Tdy5B1hvsSn6uF4u8+SwdzMoXk7+xiDT+iGk8zIu63i4Wb61ncs5gQxVJ6H2a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\nivhz4fUAwG5rv3VuWSetrjVvB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"text/plain": [ "" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "ff = '05PB007'\n", "bp = '05PB024'\n", "mapWSC([ff,bp])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## The Need for Data Reconciliation" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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GhoyMjEwgm2bNbFmwYInUi5GWlsaBA/tYtmw1AF27fsGQIf0ZOnQExsbGee63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\n2rDpOjBwIJcEqCqXVA4YwNBu09JR+XuaZ12pG125b6goFO+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J+sCY04khmVTg8zGEw+Wz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y7FJZdcgvPOOw//+Mc/8P333+O0007DbrvthkmTJmHRokVmGoZh4LzzzsOYMWMwePBgRx4rVqzA\nIYccggcffLCQauWF8AgUz9y9+dxP1mPG6KZxstfLsGmTik8/VTFqlBg1xZI72U6GyJ28SdANBDxY\nr1UVQyoDWvzPPDOI118vziGG0rS77tvJkR3HH58yya5dLauqxUkv3eAWxFg+cdPfDz3kM8sqAgCz\nDGk2zDrQKdINJPmT60Dep9TOCxd68MMfpuEWPiEb7OSONk27CjuZtF5xRhIhZ0w5Zx5yEGM5DUrX\nHkqFpHmBALNcfcelCOJdsscTkjuWkWIoto3OKt2guUAbrPCGi+Gee/wWT1H5dgYaL4ZBxIOZkjvZ\nPpDe4eSO5Y1Mb/eWpUMCd6Kiwxuzecsy01vW6+US0f/8x4Nnn/UCiJvtYg97ZLeDI5s7jwe48spk\npl+Y2S/2QxDVSzba52sWpSkOGvK6IR9+7HPWPg9pbsrpAmK+y/OuXz/mSIMIXyrFr6RbtYqXtb1d\ntHU4TAdoZkmfmz4Iu0dVFSFzWlvFwWHZMs0MB+ImuUulFNPxwy65MwwRyoXf0ysI6oABDDvtZJjO\nB7R2Pv64FzvvbGDatKSlD8nkQNOsc2vKFKfNmCOeHEirwT/fiWtw9hf/xJpIs+m9/OKLHqxaxf8m\nKTq3o+Nt09bGHTuAjP2sn3cMEV5dV7BP+1uoijWY7wDAPtFXUL3hS0t53BxfKIjxyA+ftjxXVWD/\n/XXsvHP+jUxee2XJ3bXvnIrb0YxWVPE+lDZFL1LYaacqbNzYYjZgKpFfcjdwILPY+AHCXDAU0AF4\nMt7IDAMHGmhoUNHaqpiB/hkTewmprYl0bjckDazhEn3WxtWy3xx6FgavfB33rzsVWxDl5VR8AAOY\nFCMliBhaPAPAEmIxUNIppKtqEWEtMHlsRi2rVYfhT1vVslBVvImD8BH2wWVZ6l8Qufv1r3+NQCCA\nn/3sZwjYI2wWiBEjRuDNN99EOBxGOp3Gpk2bEA6H4ff7sWjRIlMKuHnzZhiGgRoyxpHw8MMPo7W1\nFdOmTXPN4/PPP8duu+3m+l2hUFV58VQQiSgZiYZiqmO9XqE6UVVur8AlQQq++06FpvE0xo41cOqp\nKWiaYp44lyzxYJ99xMzm6Sjmb/JB5K+gqoqMWHn+mqaYxMswlIxxtmLaIXEpn7DJ2bBBLThfahcK\n00G/495sXMXDnQzc0/N6+W81TXFJg9qgoKK4Ip3mbUxtzU/rYmOhyRkIIKNGVzKBmHm+fCIrOOaY\nNK65JoE77/RnrYth8HfljZYWdb+fX6l04YU+jBnThnCYE4NUKn8fM6bg/POTGDfOgKYJzzbqQ2pH\nkmpQepww8b71+QSZEoGiRb40fT0exfI9HTL434r5Dq+XgnBYbCgtLbyvfT6RblubIAu8Dzi5VhQi\nZ9ayAor5/P774/jvfzXzHa9XwS67MAwZwqAofN6FQopZVmorgJc5laKYe4pJonh8PtnuUsHGjSq2\nbMndD/I45uOIe8erqpK5ck9xHa9VVQra2hTU1PA+IseBxkYVgQAzVYrJpGKpA/Uj5WWfGyQ95VIs\nBbrOpN8D22/P81cUJUPElIytGh8L1KfchkysBRQ4nD+T24P//qyz0pg3z2vWlZ4T+FjjZQ6HGW68\nMYFVq1Qzr/POS+Hqq5MYPz5ktqt8eKmpEfX3+1lmHlrXXrJrJftKVQUGDuTfH3CAbtZZhty+oqy8\nnD4fJ3DTpgXw7bcpXHNNEowB227LyQlFLpDbi8Yxf6bg+ed5p3/5Ja2dYu2lspKkmbB5s1uZrM9S\nEFEHNE3B2fgnAJj7D8/bg03oj59OWYu991bMMnk8DIEA0NammgQ7lVLgD2TWv7hurruGJuziuLZF\nwW7N71nKpqqKQ7J4+eVJy5VbBE3jY4zMA/LuJ8kkql97DoHQcSbxT2e2w/32M/DqMiCVUnmg3gzI\noULThD1UMsHy5sXV/tY1gO6k/SBT5WhUhaYJR6vXXvPg3HN5foqiZA4e4vfUBuEAhcdRoBhcLRv0\n88S9SJtlS4GTsGn4Pf5y2zk48abdUK22orV6ZyippNgD9RRQXY0A4khlnim8EPDUhLBn23uIxtuB\ncBgadHj8Hvwbx6MuQyLdUBC5W716NZ566qkO29eFw2GsXbsWRx11FAzDwM0334xIRLjYT5o0Cd99\n9x2OO+44hxduU1MTHnjgAfzlL3+BloUFrFixAj6fD4cffjgMw8CUKVNw5ZVXwufLb+hJ6NdPGBLx\nEAj8c3V1xDyh1taGUVdHdQpkNh+guprnU1fH6xQI8Od1dV5zow6F/KirEzpNvx8Ih0Nmevng9fIF\nqq7Oj9paoKWF5xEIiHx5mtylfODACHw+oF8/fqr1eIB+/UQMJfpNoQiHw/B6gf79ebtUVSnw+SKZ\nPIG6Ove2DoUAv9+Lujr+dzAoyssX3XDBbeAGr5efWuvqvAiH+cSurubpG4YGn4+PmSlTvHjySWDQ\noEimf3i+Hg///aBBfpx5JrBoEbK2jaIAtbUeU23K7Sa9qK72QteF9CAWC2PoUBETL19baxpwzjka\nDj2Uf6apMWiQaJtQiFQxmtnWvG35JjpggMiDxpycb20t/R/CkCHie5Ko9esXNPOqquJzoKrKj0GD\n5DsovfD5gP79RbptbUAw6EF1tQd1dcCAAfTbEHw+UYZIhI+DUIjmhg+DB3PCWlfnzZQtDI+Ht2Nt\nbSSzqfPf9+vHP/N0AMa4XVdtLRAIBDPj24+GBjEWVZXXd/Vq4Morgzj77Ox9EAjQOPZmnKS8qKoS\nBt80XqqqZK9UDdtuG8qUF+jXL4RZs4BJk4Bx48JYtYr37aBBIei6aAtFAerqeHrV1cgQZv4/ld3r\nBTweP4JBEXeL1g9uFxaBx8PHOpWRzwM/qqt5v9TV+TJ2gzyvYJDXQ15Lpk0DVq3i6WgaUFvrzdRN\nMdOWlmpEIhHU1PB69esH1NUBa9fydjMMYM4cLxjzmpIor9dvid+33XZBs12DQQ2BgHUNpP4NBIBg\nMGS2xRlnaLj7bmDAAB9qanyOA6HH41xLKW/ehhoMA7jrLh/uvNOXqasH774LHHUUH0N1dZxD9O8f\nxsCB/O+6Oj7uSP3++ONezJ/vzdSf51lTQ6pf/u8nPwH+9jdgzRqP2edkp/rGG35cd53YB9Zm1LKM\nec15AAD9316KcHgq/P4INKTRH1G8/lwMz7zQH+k0V7mSY5LHI9YJxoB+VTwdr5FEdXWEh87yyDZn\nvNx1TUst7RWJRMxD4DCsxixch3e0xxAKiLX9qScMXHOdirq6CBSFz/dYDJay28EYMNV4CrXn/AgD\nXhVqZK/Gf9O/v2aWK+AV5SRyV1cXgaZxyqIwhqoqsSe7QdfF/m3+PiNS9SCNJPx44YUgTj2Vl33k\nSGD//QNmGwaDfC6RB3ZdXQS+zIA78jCGfvWAzxdEWPfBUDWMHhuy5AUAG5mBPfEZAGD4h4tQGxmN\nOmMNvqs9El5mmO95mI5g/xqoMBDyBRCIeODzeaBqGqq2GcDrfPixqP3yPcRgoP+gGmy7WzW8K1dn\nrX9B5O7AAw/EihUryuI8MWTIEHz88cdYtmwZLr30UgwbNgzjx48HwG3y6uvrcdFFF2HOnDm44gph\ncPjoo49i9OjRGD16dNa0a2trceCBB+JHP/oRGhsb8fOf/xz3338/rr766oLLt2VLGwyD1IdhNDe3\nwe8PY8OGNkQigK6HsGVLLGNvFEFbWxxtbVzs39ycAhBGNMr15s3NHui6hmg0kVnkIojFEohGheSO\nsSA2b04iGi1MN9vW5kc8riMaTSOd9qCpScOWLWkYhhfRKBfo+nxhfP99G3Sdl19VgVTKi5YWBe3t\nCuJxHQCfvVTWfFBVBf36hdHY2A5NC6Cmph0LF2q49FI/vvsuhpYWD9JpBdGou/5xy5YAli83EI0m\n0dioQVF8iEZjmbRDaGyMOTxwi0FLixepFM+fS3PC2LSpDUAEDQ0GmppSAPzYtCkOXfejqakNqhrC\npk0x1NYytLf7EIsxRKMptLcriMWCiEbdVdbxeADt7Sn06+fDhg0aQiGGlhYdbW1pKAqwZAlv2wcf\n5NIBvz+ERAKIRttc0yOkUkG0tCQQjfJVz+MJAPCgpaXVlFAYhh+xmIZEIm22taoGUV+fhKYFbHnw\n38t9nEp5AATQ3NyOYcMMfPEFEI3ycZhKqWhtjZn5p9M+AD7EYnEkkwYAvnht3qzD61UzefHFqa0N\n0LQ0WltTiEb1zDgLYsuWBAxD9LVh+LF5M7/5IZnk/cWYhs2b+fjV9RCam2NgDGhqCmLTpnYoShib\nN7fB6w2jvr4Nfj+webMKrzeIZNJAMsmlY5s2JQD4kUol0dLC5x21a3NzAkAIxx2XMp+7oalJzFnD\n8GHLFoYtWwzoui8j/Yuhro5h82YVhuEHoCGV0pFKxdDSEkYyaaClJZEhMiE0NQGNja1QlDBisXa0\nt4txlU6H0NQUQzTKoOs+NDWJ+IG0Rng8YWzenEQqpSKZNJBIUJsBQASbN7ea7cKJhw/xOP89zXk+\nJ/hawK+dC6KhIYH2dq+5lowc6cGmTRoaGhLQtDDGjYtj2DA/YjGgoSGWeZfhm29S2H9/np+uA83N\nPvTvzxCPM7S1UbuFsWULrTthAAqamhI44AAVK1bw3bi+PoZBgwyoahCaxvuOxh3AJZ6K4s/Y0yXg\n8dDYjwMIY8uWJDZvToGxIObPT+DHP+bMcePGmLmWcvIQwZYtSUSjaQB+tLQYAHgZotFWpFJBtLby\nvBUlgMZGPn51PYympjbEYira2vyIRmNIJIK4/vq0eXtNNNqKZFLMWcb4eOF2sRruuy+BkSO9WLtW\nrItbtmgAg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o5qMlHjm2/EEbgRn97xjyCaASI//Ehc9eYBPve5CGUJ7Lb5LqPt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2vueeCzvGJ1SYZlhb1vO0ts59oCEkC/F52E5ChAwyKZQVK+SsPZ68IUuooDp3fH1ZduwZZ0TP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\ncEdERERkRv4PwWVR9FI8IxAAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(10,6))\n", "WSC_LEVELS[ff].plot(color='blue',lw=1)\n", "WSC_LEVELS[bp].plot(color='red',lw=1)\n", "plt.legend([WSC_STATIONS.ix[ff,'STATION_NAME'] + ' (' + ff + ')',\n", " WSC_STATIONS.ix[bp,'STATION_NAME'] + ' (' + bp + ')'])\n", "plt.xlabel('Year')\n", "plt.ylabel('Level [meters]')\n", "plt.title('History of Measured Rainy Lake Levels');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "There's an obvious difference between the lake level measured at Fort Frances and at Bear Pass in the period from 1988 to 2009. The level sensor at Bear Pass (05PB024) shows a systematic deviation from the historical data near Fort Frances. Let's look take a more careful look." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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V2r2urs1p2bIV06dPQanU3GD89OmTtGjRUiO9UqUqTJ06S2uIizbc3T04ePBH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\ncLsl7HaNoUPFbNvekE0ieL1gNoOutpq000+i0LCTr7+Ost7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blVRWOqmsdJKXp+FySfzp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\nrv1/7do1PHz4ECYmJvD09MSlS5cAAL/99hv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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(10,6))\n", "\n", "plt.subplot(2,1,1)\n", "WSC_LEVELS[ff]['1987':].plot(color='blue',lw=1)\n", "WSC_LEVELS[bp]['1987':].plot(color='red',lw=1)\n", "plt.legend([WSC_STATIONS.ix[ff,'STATION_NAME'] + ' (' + ff + ')',\n", " WSC_STATIONS.ix[bp,'STATION_NAME'] + ' (' + bp + ')'])\n", "plt.xlabel('Year')\n", "plt.ylabel('Level [meters]')\n", "plt.title('History of Measured Rainy Lake Levels');\n", "\n", "plt.subplot(2,1,2)\n", "dR = WSC_LEVELS[ff]['1987':] - WSC_LEVELS[bp]['1987':]\n", "dR = dR[dR.notnull()]\n", "dR.plot(lw=1)\n", "plt.xlabel('Year')\n", "plt.ylabel('Level [meters]')\n", "plt.title('Difference in Measured Rainy Lake Levels, Fort Frances - Bear''s Pass');\n", "\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The abrupt change at the beginning of 2009 appears to be a recalibration of the Bear Pass level sensor. To reconcile the level measurements, we find the mean level difference pre- and post- the 2009 change, then add that difference to the levels reported from Bear Pass prior to 2009." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Average Sensor Differences:\n", " Pre Adjustment: 25.19 centimeters\n", " Post Adjustment: 0.387 centimeters\n" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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BrFmzGDZsGDNmzKCyspIxY8Zw4YUXcv7553PWWWcBMHXqVA477DBOP/10vvGN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\nxyKXy7Fw4ULuvfdefv3rX3P11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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(10,4))\n", "\n", "# find the point at which there is a big shift\n", "t = (dR - dR.shift(1)).argmin()\n", "\n", "# find average differences before and after the shift\n", "preAdj = dR[:t][:-1].mean()\n", "postAdj = dR[t:].mean()\n", "\n", "print(\"Average Sensor Differences:\")\n", "print(\" Pre Adjustment: \", round(100*preAdj,2), \" centimeters\")\n", "print(\" Post Adjustment: \", round(100*postAdj,3), \" centimeters\")\n", "\n", "# adjust the Bear Pass sensor to have the same mean offset \n", "# before the shift as after the shift\n", "BP = WSC_LEVELS[bp].copy()\n", "BP[:t][:-1] += preAdj - postAdj\n", "\n", "WSC_LEVELS[ff]['1987':].plot(lw=1)\n", "BP['1987':].plot(lw=1)\n", "plt.legend(['Fort Frances','Bear''s Pass'])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "There may be a sustained and systematic difference lake level between sensors spaced about 27 km apart due to sustained winds or flow. In this case, however, it is difficult to determine what that difference would be, or if the sensors were calibrated precisely to the same datum or to the same average lake level. For those reasons, we adjust the average level recorded at the Bear's Pass station to the average level recorded at Fort Frances for the same period of time." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "337.3518103275223\n", "337.33175300787565\n" ] } ], "source": [ "# locate start of BP data series\n", "t1 = BP.dropna().index[0]\n", "t2 = min(WSC_LEVELS[ff].dropna().index[-1],BP.dropna().index[-1])\n", "\n", "BP = BP - BP[t1:t2].mean() + WSC_LEVELS[ff][t1:t2].mean()\n", "\n", "print(BP.mean())\n", "print(WSC_LEVELS[ff].mean())" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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Mp+/Z80s0GoXExCRAT40atZg9e77a+hIfH09k5A4WLAgFoH379vj4+NCzZz/s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hxlxh40122+lz874twpx8yXvgtvWHMSxar1un9oJ0v7Vk87p8nQ6PIaLISgp3AoQ/lRxP/P3pvH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Qel53690AdDBqE4wwZBNzlw3ZLQcU/SyxYp9bPf4RZlB0QC+CqplxBDDywG5Hdm68db8FQRKk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\nbqcLQvWgPvg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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "WSC_LEVELS[ff]['1987':].plot(lw=1)\n", "BP['1987':].plot(lw=1)\n", "plt.legend([WSC_STATIONS.ix[ff,'STATION_NAME'] + ' (' + ff + ')',\n", " WSC_STATIONS.ix[bp,'STATION_NAME'] + ' (' + bp + ')'])\n", "plt.xlabel('Year')\n", "plt.ylabel('Level [meters]')\n", "plt.title('History of Measured Rainy Lake Levels');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We finish by combining the adjusted sensor data into a single time series for the level of Rainy Lake. The mean value of the B" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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FGzVWrVqFyMhIrFixAnl5eWjcuDGio6NNnj4THx8PlUqFxMREg3quXr0679Ps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JAAAg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ZKY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\nRORF/gf5tslhwH0jVwAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "RL = pd.Series(pd.concat([WSC_LEVELS[ff],BP],axis=1).mean(axis=1))\n", "RL.name = 'RAINY LAKE (RECONCILED)'\n", "\n", "fig,ax = plt.subplots(1,1,figsize=(10,5))\n", "RL.plot(lw=1)\n", "plt.ylabel('level [meters]')\n", "plt.title(RL.name \\\n", " + ' from ' + RL.index.min().strftime('%m-%d-%Y') \\\n", " + ' to ' + RL.index.max().strftime('%m-%d-%Y'))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Writing the Rainy Lake Level Data Series to a File\n", "\n", "The reconciled historical levels for Rainy Lake are stored in a Pandas Series `RL` and pickled to a file `RL.pkl` for use in other calculations." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "1911-08-20 336.868\n", "1911-08-21 336.880\n", "1911-08-22 336.865\n", "1911-08-23 336.853\n", "1911-08-24 336.844\n", "Freq: D, Name: RAINY LAKE (RECONCILED), dtype: float64" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "RL.to_pickle('../data/RL.pkl')\n", "RL.head()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In addition, the following cell writes a .csv file `RLstage.csv` where dates are encoded as datenun using the Matlab convention. This file can be read in Matlab and used for Simulink simulations of control policies." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " RAINY LAKE (RECONCILED) datenum\n", "1911-08-20 336.868 698210.0\n", "1911-08-21 336.880 698211.0\n", "1911-08-22 336.865 698212.0\n", "1911-08-23 336.853 698213.0\n", "1911-08-24 336.844 698214.0\n" ] }, { "data": { "text/plain": [ "RAINY LAKE (RECONCILED) 337.395\n", "datenum 719528.000\n", "Name: 1969-12-31 00:00:00, dtype: float64" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "RLstage = pd.DataFrame(RL)\n", "RLstage['datenum'] = (RL.index - datetime.datetime(1900,1,1)).days + 693962.0\n", "RLstage.to_csv('../data/RLstage.csv')\n", "print(RLstage.head())\n", "\n", "# test the \n", "RLstage.ix[datetime.datetime(1969,12,31)]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Statistical Properties of the Level Sensors\n", "\n", "The availability of two sensors provides an opportunity to estimate noise associated with a typical level measurement. Here we attempt to characterize the measurement noise using the signal $d(k)$ for the difference in level measurements between the Fort Frances and Bear's Pass monitoring stations.\n", "\n", "Although the sensors are located on the same body of water, they are approximately 27 km apart therefore introducing the possibility of sustained differences due to hydrology, persistent wind or water flow patterns, systematic measurement bias, or miscalibration of the sensor datums. For these reasons, we following a multi-step procedure to isolate an estimate of measurement noise:\n", "\n", "1. Detrend $d(k)$ to form $\\tilde{d}(k)$ with zero mean with no linear trend.\n", "2. Confirm $\\tilde{d}(k)$ passes routine tests for a stationary time-series.\n", "3. Remove auto-regressive components of $\\tilde{d}(k)$ which are assumed to be due to lake and watershed dynamics.\n", "4. Confirm the remaining residuals passes routine inspection as an independent, identically distributed source of measurement noise." ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 26, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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R1q1bh+PHj+O9995DUlIS1q5di4iICDz//PP473//i7/++gvnz5+3KQ3D961S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\nyLy7u5F5nNNUg+pCrtW2nTlvmFAZKz83yvQ3vyuKtWFnZMb62iew3cf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/PRGHloKak0TN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Rl2rqzQPARYTlZQKPwRYO0cEwzYe9gbL1/t55zsILJTHHlF0wrLXymOIwPdzbeZv6FgAA0T+iOo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\nYffu3Xz77bf6SaNcpn54jh49y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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# d is the difference between the level sensor at Bear's Pass and Fort Frances\n", "d = (BP - WSC_LEVELS[ff]).dropna()\n", "\n", "# detrend\n", "from scipy.signal import detrend\n", "d = pd.Series(detrend(d.values),index=d.index,name='Level Difference BP-FF')\n", "\n", "# plot\n", "d.plot(lw=1)\n", "plt.ylabel('meters')\n", "plt.title('Difference in reported Rainy Lake level at Bear''s Pass and Fort Frances')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Tests for Stationarity" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Augmented Dickey-Fuller Test\n", "\n", "The augmented Dickey-Fuller (adf) test is a tool for testing whether a time series possesses a unit root and would therefore be non-stationary. ad is a hypothesis test where the null (H0) is the existence of a unitroot. A p-value less that 0.05 indicates that we can reject the hyptothesis of a unit root with less than 5% probability of a type 1 error." ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "ADF Statistic: -11.092848873\n", "p-value: 4.04147670221e-20\n", "Critical Values:\n", "\t 1%: -3.431\n", "\t 5%: -2.862\n", "\t 10%: -2.567\n" ] } ], "source": [ "from statsmodels.tsa.stattools import acf, adfuller\n", "\n", "r = adfuller(d)\n", "print(\"ADF Statistic:\", r[0])\n", "print(\"p-value:\", r[1])\n", "print('Critical Values:')\n", "for key, value in r[4].items():\n", " print('\\t{0:>4s}: {1:.3f}'.format(key, value))\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The data set appears to have no unit roots." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Correlation Analysis\n", "\n", "Next we test for autocorrelation in the difference between the level measurements at the two stations.\n", "\n", "The Durbin-Watson statistic provides a basic test for autocorrelation." ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Durbin-Watson Statistic = 0.566\n" ] } ], "source": [ "import statsmodels.api as sm\n", "print(\"Durbin-Watson Statistic = \", round(sm.stats.durbin_watson(d),4))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A value of 2 for the Durbin-Watson statistic corresponds to no autocorrelation, with values in the range 1.5 to 2.5 taken to be generally 'normal'. In this case the statistic has a value of 0.57 suggesting positive autocorrelation.\n", "\n", "Plotting the autocorrelation are partial autocorrelation verifies this conclusion." ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "data": { "image/png": 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yEBwcLKkFBQUhPT1dUnv88cclz48dOwadTlfjvdYoFAoo63FFsUqlEB8rlQrx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\nFxHdPjldtcf2Khho0+iLk3XPzGyrSwIAADCNm9b6iRPeZq0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UK9ZVexUVFfr2t78dNtba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\nUwiIyOcyIwAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from statsmodels.tsa.stattools import acf, pacf\n", "import statsmodels.api as sm\n", "\n", "fig = plt.figure(figsize=(10,8))\n", "ax1 = fig.add_subplot(211)\n", "fig = sm.graphics.tsa.plot_acf(d.values.squeeze(), lags=100, ax=ax1)\n", "\n", "ax2 = fig.add_subplot(212)\n", "fig = sm.graphics.tsa.plot_pacf(d, lags=40, ax=ax2)\n", "\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A lag plot further demonstrates the positive correlation evident in the differences between level measurements." ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 30, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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sC5Xo5sKXJowUuaxN1rXYvrkX25JIAZONiChO2Lmlj1tv6OPk+SpnSnVqzUw1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4AAAB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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# lag plots\n", "plt.figure(figsize=(5,5))\n", "pd.tools.plotting.lag_plot(d,alpha=0.4)\n", "plt.axis('equal')\n", "plt.xlabel('d(t)')\n", "plt.ylabel('d(t+1)')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The evident temporal correlations evident suggests the difference in level measurements at the two stations is confounded by lake dynamics. We will attempt to model the dynamics using an ARMA model of the form\n", "\n", "$$d(k) = a_1 d(k-1) + a_2 d(k-2) + e(k) + b_1 e(k-1) + b_2 e(k-2)$$" ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " Results: ARMA\n", "=====================================================================\n", "Model: ARMA BIC: -66181.1402\n", "Dependent Variable: y Log-Likelihood: 33118. \n", "Date: 2017-06-10 14:18 Scale: 1.0000 \n", "No. Observations: 9607 Method: css-mle \n", "Df Model: 5 Sample: 0 \n", "Df Residuals: 9602 7 \n", "Converged: 1.0000 S.D. of innovations: 0.008 \n", "AIC: -66224.1617 HQIC: -66209.570 \n", "-----------------------------------------------------------------------\n", " Coef. Std.Err. t P>|t| [0.025 0.975]\n", "-----------------------------------------------------------------------\n", "const 0.0000 0.0007 0.0022 0.9983 -0.0014 0.0014\n", "ar.L1.y 1.0689 0.0291 36.6732 0.0000 1.0118 1.1261\n", "ar.L2.y -0.0944 0.0273 -3.4592 0.0005 -0.1480 -0.0409\n", "ma.L1.y -0.4285 0.0278 -15.4074 0.0000 -0.4830 -0.3740\n", "ma.L2.y -0.3350 0.0168 -19.8839 0.0000 -0.3680 -0.3019\n", "------------------------------------------------------------------------------\n", " Real Imaginary Modulus Frequency\n", "------------------------------------------------------------------------------\n", "AR.1 1.0291 0.0000 1.0291 0.0000\n", "AR.2 10.2884 0.0000 10.2884 0.0000\n", "MA.1 1.2028 0.0000 1.2028 0.0000\n", "MA.2 -2.4820 0.0000 2.4820 0.5000\n", "=====================================================================\n", "\n", "2.00023593289\n" ] }, { "data": { "image/png": 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P8RQtX/Jxr/cFF7O3mSxzseXVV+J8qaoBhst13pXHWVlk7BNajQbVTVZUV9XD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\nG6o9J3mO+1F8t3Ac+XwF6ip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Mp1zV1dXIzc21t9JwH20fx3hOmDCB+2g79e7dG0eOHMHa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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "model = sm.tsa.ARMA(d.values, (2,2))\n", "arma_mod = sm.tsa.ARMA(d.values, (2,2)).fit()\n", "print(arma_mod.summary2())\n", "\n", "fig = plt.figure(figsize=(10,4))\n", "ax1 = fig.add_subplot(111)\n", "fig = sm.graphics.tsa.plot_acf(arma_mod.resid, lags=300, ax=ax1)\n", "plt.ylim(0,.1)\n", "\n", "print(sm.stats.durbin_watson(arma_mod.resid))" ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [ { "data": { "image/png": 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Zup4b930tMyGh0exv92H/SeMd9KprHcg6Uyz6Xaj1uhXbz/gdKyit8T9RA/tP\nFqI4QKdoMwmJKTAiIgKffPIJVq5cib59+2LJkiVYtGgRYmJiMGPGDMyYMQMA0LVrV8ycORPTp09H\neno6CgoK8NZbbwEAli1bhuLiYixatAi9e/f2/r377ruNeWua2bRfOjvemp3nGqQOQhtsufnFbBlb\nb6xuo2mItURZVT2qax3eCZ2dMz78+ZChsWnVyAtCsx8pVAmiBgkoLobRbNsrRqhNXEKcDbywXS4y\ncYYCE9/fio9+ydL9e7bbzvrPXs2Lz1DiwKlCyQy+3EVhQ43Fl4qrUV6tLckUA34kDtavyWhc3rCO\nxr2Da3adxdyl/LwgZi7qGt/zTBsLfjyIL9cca+xqSBIS5iIA0KVLF9HkMW+88Qbv84gRIzBixAi/\n88aPH4/x48ebVr/GQBgXt17GAdFIhM6Lcu+702VunQ6cLlQ+qQFoCE3W39/fimvbJmDigz0913Qf\nzzx+GQwD3NRZ2nlECwyUhdVXP92Jd58dKHsOAFgb0Fn4299PYtuhi/hw0pCAyrHbG+Y94nYZIxMW\nyTkiX8mIvaH7T2kbPz5ZfgQFJdWY/mgfXnlOp/udCQsypytZVL6a85cdxA3XJGHKw71lz1v48yED\nKqWOUBMEA0FsamGPffjfwxh6Y1sM6tkm4OuUVNQhIY7vmPjDhlNI796qwYIJiCG1wOMRxJqREBoR\nCCGNtUPpEGjK5FbtV4i1iKxZjJFNcCqvDM+8t8X/C86sE3C/YMS39biUVanTJKkyFzFIEM8tqERt\nANv/gDsE5IIfDxpSHy1MXrjNsLLMXtg2Nq2bBx5NwZ3cRjtZZ4px+kI5XAwDO2fy/37DKYx/Z5PM\nL4MQDeOE1Ptu4Qw8DZrZVs+Q0QCSeUOZDbFXOXupAjsOXzKkzMkLt2GzYKd89c5zsrvnWpBrm3P5\nFXA4XQG3XzAuvkjIDmECTc6gF1ZTxoYokjUX4Qifhr4AjDuKxse/HDGyVN2w24Rd2pvnUS6EOyBx\n2/aARu2cX7kwbsJsyLCXDRUb3mzOXqpQbY4jitCXkmFQrnJRFAroNYfhvi96k+ewPWzFtjN49bNd\n3uPnL1c2SHbbYIOrYGlI23yL1tmkiT2aQIXRj3/JQpGILf2BU4X4fU8u75hRQ/jhHHG7cgA4mVuG\np+ZsxGoZk1e5e2a/ESZPCwZIyG4ClHg88xtKnvk98zwA4Pqr3QKl3ORipuNjg2pOFGCb4Np2CQ13\nTe4HzsNsl0EvAAAgAElEQVTfciAwzcOuI/nKJ6lEq7nITh3Xzr3sDu0UKs5nX64+Kvv961/uxqcr\n9C8eha2w80g+JmoMkaeWU7llppQrR6BjStaZYv2pvz3d+VIxX6AMlb7HQ8urGSS3xy4+9cx1gUyP\nDqdLlRmWGd1A7F4DvU7GkXwczvF30jxwugjrBEK2UXBDywphE9TlXa7iHf9psy/h4Inz/EAPPDwN\nEkwyAQsJ2U2AdXv9X4q8y5U4KuGRHChs+vKUBE8iFJWabCNpKPtztWw75G4T0cHPrAmKU66RSlyh\nJiMQ1NSLe4pWRzQXw2AGR6MYCmw+4O4rO4/mY8na46LnaEkjPHnhNp53vbAPVlQHoBVX4M0le0wr\nW4pABVqhE5kWyirFdwTqG8iO31CCRHBWS129E8/NFzGVU4Hd6fJ7L4T9SG7Xbe7S/Zi5WNlZktXs\nmyFsf7w8Cxv35RlW/uI17rFHyryM9csxSnlXo2NhyzVblBMlgtkPhYTsECM8TN0jW/jzYcwJYDLR\ngtykZ1akg93HChpkkliw7CDe++GA4nnn8t3a1IYMWci9Em+CMGBUVHMXLpeyg2S1Z2Bdsf2M5I6H\nES3GMEyj+SjoZf3eXKzfm8c7pmeyKKmoQ14hVwMkFB701M6teVq28bS+H5vEnAkDAjAXMbgyIY6m\nrfUgsMQKZC7ZeSQf//qavyA8lK1eCXX6QjlyBVpWwB1RxS6TjM1IMrLysXT9Sc8n/W3BNR0rq6rH\nk7M3ip433zPvaTbNkUAY+lccbffFyh51JGQTRvF/CgkyWAKZUN7/8SB+3KQ8ubKDntzYF+p2ivtP\nFarSKnpDN+m4XSO23KWGQTPtJD9deQQvfLhd9pxqT1ivnzZnm2MXzEbYYYDaBooTz8K2uYthdGlX\nbSJeoexiTSsbOMK6sCp67eKPninBqoyzun5rFmE2yxXjTC3EuwBrhPuX6kH/a1Ab2MBuXOjnwE2q\npoSUMmHSwm1Y+PNh3wFOFZ+bvwWlhsTj9rU+u2PCbQnWKdXucCFfhUPv2XxfuMlambCLWWdKAKiM\n7qECNT4zWp+wN7JaA4/9WiAhO8QIU20XoH9A2neyEBlZyraxrNa2sZLRBNNcywrZehYVby7Zoy/G\nLPdaJmqapJ5vdl65YpQRrk22GestdnvWxTA420ixise+vQGvf6k97q5N4V0Wc0ySQi4UHfsImoLz\no8VqCY4EVwa8bydzS0XtYqX45vcTgV9UJ8IWZ8c5rZk6jcIMh2o1JQr9KerqnbjA2UXitlNljR0F\nJYElWpGCO5ayipTVGWcx7aMMxd9+ryLRFpdN+y8ELMRW1thxWU3SGZlXW/T5eM5v8uYidrsdX3/9\nNXJz3bac8+bNw/DhwzFx4kSUlsoYqxPaUTm2NIQC2ekVsqXPCXVNtlrY29x11H9xoiYxgZ5mKquq\n99riBjLliEWy2OqxuweAqf/eIfo7NZm61GgvhGfoWXDIDbKfrTQ/Ao0eDbTNJt82bL+pqXOgWsZp\nyP93PursTixZ6xbOGkvIPnqmGGNmrTekLKtFv5AdbNk0Fyw7iHnfKZuisQijSV0sqsL7DRVuUtB0\nv2ea4xynFjU7R3aHC5M+kHb41ZO4ivWn4MKb47w7a+b2NbHy1e7k8R3m1V0v0IXtR79kYe3u8wGV\nIYbPBj643m0uhgjZb7/9Nj766CNUVFRg3bp1+Pzzz/HQQw+hsLAQM2fONOISRAMjpSjgOkmwg4uc\nUMQL4RcEdn1mwb7kpSKOUftPFqoYpLQPEu/9cABTvOYa5jVuIGmThc+8oLQGhQrC+TsafAnYsVXO\nYXLboUvYdugidmRdUmUG1VCwTnSn8uTNhWZ/sw8vf7JT1zW429UzPt+Fs5cq8P0GbZqsQDmgwYlT\nCZvVguo6hy6hPdjmYb3aWDbb4eHsYuw72TjJuJauO6l8UiNTU+8QHY9ZhDbCP2w8rRj5RwyuNl+4\nkDNizhMrQqwrK+2MeX8r8iLkXCzXXgkNqDXNURoLhbC3EgybW1IYImSvXr0aCxYsQNeuXbF69WoM\nGDAATz31FGbMmIFNm0IsQH+QI9fX6wJMxMFFakLiOkmwmuyft2SLnwyutptBTV3w2k0FitwEvuXg\nRZy+wB88hNpjPYMEdwIJZDA3MyujUJB4+aMMvCZIaSy89WId8d+5dvNik8hnK4/iy9XHsHKHcTbG\nWuLUH8ouwphZ673ORFzyLstrwfNLqjVpoaXipwPAxv15WCMTizYQvv5VPFKKUIP1v605ypO6gNtv\nvhpAw2YQNRu9EYE+We7emflWhaCbdaYYa3cZ8LyDrNnVLJgyjxVoLldMUx2MiN2/2kWb2FyjGDc+\nQCFWynkyqVkk77NehU4whu5jMUTIrq6uRsuWLeFyubBlyxYMGTIEAGCz2WBVlfKNUI3Mi8QNvdYQ\nWpvyqno4XS7ZLHsrtp/Bez8cwFNzNhp+/WDaIoqKsGk6/7n5W3i2fFwOni7SrKnj9QrN7dJw7ehi\nGGX7Pg0TuphgJ3U3RtvtVWsISfXu927hWotW98VF4mY6mhCMF2aGRt6wL0/xnKKyWvxvaw5+07h1\nPHJgR7zxRN+AEg4F0XABACjXGFqxosp9vhYzh582ZWOpRhtcMzB6rFZj+qMUulKtKaOWuvs5HZu1\nOhGpk5pXwx3vW7uyS6/ZJ7vLLRUjO+3aFF3lsgTbOy2GIRJwt27dsGjRIsybNw8VFRUYNmwY8vLy\nMGfOHPTu3duISxAe1L6ywmQJZnDifClWZZyTDa107FwpDp4uMiWUX7C8YE6XS5cDkJTn+clcHX4M\nAYzlZjZjh5Zx3v8v3+aOROA/Ecl/lmPLQRHNU5D0C7XoMRs4erYE/5XYQWogf1jNbDl4QfN2MEtU\nhA3trorDlayzYaNCaOneRsXP5/apGZ9pN10yevxXM/YrLci+/V2dyYvTxfB2UOQETvared/771jN\n/mavLu26cHi4UFglqo1WGkdOnC/FU3M2muKsKmUO8rd3NyPjyCXZKFcfv3CrqmvYRReXwT/YGzJk\nvfbaazh8+DCWLl2KKVOmoFWrVli8eDEuX76MV1991YhLEB6E75Eqj10Fdhy+JJkUQ4mS8lr5TEwG\nsCrjrKgWMkzBcayhKC6vw9n8CrRuHoOWSdHe45+vkrfv44Zd4w7cekwaAtGYvP6F9sgYarkq0dce\nG/e7M1G6GEbWJCTQYbMhFpgNiVh7rN55Fr9sOyNxfuNNPCt3nJH87otVxzQnG2JhBQh+tBqNMXUN\nbBc10ZdMQ8ttGDREcnfdxOJFK2F0RBgjSlO7s+V0MggL8zXk397dLHku28e8ZVuA7YcvYlXGWRw7\nV4q9Jy/rr7CHVz7diQtF/s9Aaa0uFulEbfeQe3yFpTV4ep5/m7D5JUpkhPqYqDCE2dSJoT9t8lcq\nBIuiTQ5DhOzTp09j8eLFyMzMxJgxYwAAU6ZMwY8//oh27doZcQlCArlUpWr5LfM81u/Nw5hZ671C\ne1F5LYrLa3maJ7FJrSH6uMPJiJpWBNv7FRFm42lsuBE6Zn+zDzuyLuGFD7f5onJwR7hAb4ZblkbN\naCCOjUpIDYKvfb5LUiNUVlmPo2dLdF/zlU/1OQkGiothJOPUGm1KLLuo4jSrcGJlFzpm8aPIRCiK\nzvawmBwSMhRgoH77XqqfbBDJEmwmRmiyeSWouX+DOojd6UIYZwtF1vdJZJdu2cbThid1ElsgKIX8\nDGSRKbegrfG0R/YFt5/Fpv15+HHTaa+fjJyGPSYyzO+YlNJOTNYJhSHAECF7xowZKCzkezlHREQY\nUTShgBHjCPcd4L6on644gjc5WbK4l0qIdT9fs+KACtmRdcnv2LEABDEzCA+3StpLOl0Mdh3JR1F5\nHc6z4d64kZ8CfJCNqdOXq7vUwF5V68B6mfTtShFIjIZhmICvmXmsQDJOrZxQbPSz47b43O/0Z33V\nEqe7MdAsNITCjKwGhsHHancEJDpX5vHANapakBOynS4X9muMkqLmURqlPL9UVI3qOofsQpkdA/0u\naZZJtsjNsaZz+06IP9vSAJwD5aYn9hbLqtzlr9h+hrcbK2e2I7ZYnPWfvRoqpv7UxsIQIbt79+7Y\nvFl6C4UwDjOC8HP7+exv9/kd9wpRnPPu6OfOPBmIxlELYjE2v1FpU9dQRIZZUVpZLyl0OrwDo/vf\nsup6bDtkjDc7r1toENgrqgOPnSzniCVXFbnn981vJ/G3OcbEVhYijPQCuKN/vCgRD1wtsqEsZRci\n8miOGmTAxONwuvxC/Z04X4ofNrqPjZm1XjEqitnkFkibLZRX1fu1m1SzcMOSGkFJRZ3puym7jvps\ne4X9rrbe4VVKSM0WDR2kRU7IPnGuFAu0xvtW0ceNMlFZ5unzDw+9DgDQvkWc3zl71C5aDBIK5caT\nnSK5Gty/0X89WSWQhT1HcMDDnuPidui333w1bu7SQvQ7te9ksMW+F8MQITsiIgJvv/02+vTpg/vu\nuw8PP/ww74/Qz8KfD/EiTQg7u57B8pVPd+KATIY477U8/7I2rtwX+6bOV2m/cBPlC4/tNWtb9sTb\nGzCHs1hhET6qU7ll+Gyl+7fcp9oyOUZzHfQuvp5fIJ2sQS12h/EDXXWdA+dMyuBYLhI7Vy68ZFZO\nsd+gX1RWy1k0yaOUSObL1cdUlfNbprqIHJ+sOKIr0QbLf7dk8xy07A4XXC4Gv+/JxeoMXzi4PIno\nOGowQsaTy7I58f2t+Hi5Om2v0WYnuZcrJSMHGYGLAcLDfFM3q9V2ulwYM2s99p647A3zd0biHWro\nrJlOuf6oMHax4dlEcr7IUlimvDOlZgfxRK57UX6bJ4xktIiJg9cpVaE8o1pd+Pi41xXGyz5+rgRf\nrTkW0DvHnfuFO1x+juuCAydzxZ2dHx52HVokic913FDBLGJNGwomY4Zpsp955hk89thjGD58OAYO\nHMj7I/SjtEJWs40j5EJhFbLOFHs/S8aY9BTOpmzmOqs1VrxaMS1kY3PsnNuGjCvoimr4Zbcbff/P\n1+G4xyu6gZ/N6QtlkkkcDpwKLBGJGfFPtdqHzv1uPy8O97vfH8ALi7arfk7PvLdF0/W4cCPQfPv7\nST/hSCxbJ6BsxsU1AxPyy7Yz+Hi5L0vmuHc2ejXYXNQI8maH2Zy1RPo+hH2nTiJ0pNFVNPv1q6yx\n82xy2cgNbN+ICPOFE5Vy7iuRSdJiBnJCPWvGIOUMPXnhNpwv4O+aqOlXO1Q4p4oVo+QQKRaulf2N\n0L/FrBB+wvbkZt8VmmdsPXjR7YshVhW1nZVx76idvVSBFxZt533FznsM405SVK8jVOrIgR3VVUJ4\nJASEbP8lmQ6eeeYZ7/8dDgdsNpspZg2EcqfihtJRG1O2TCLRBSP4zz+/4thni9Rj7t9uweSF21Rd\nk6Wyxo646HAAbs1DfEwEIsKlY06vkIioYDZZOcXo1jFZ9pz9KnYHAKkVeYCjBfd9a+CRh40B/did\nXf2+y1VjUiDTTZesPY6n7+uht2qifPjfw/j8paH8KkjUgWsq9fLHGejRqTkOZYsvHMxo9Ukf8N+n\ngtIatEqO8dbhCGexzOX4uRK0SYmVLFdrKL28wipECd7LT1coZ8cT29EB3ALQ+YJKvPFEP031EHJC\nQksG+D+PD348JH6ewe+L1rnP7nAiPIzftg6nC2//Zy+mP9pH8fcFAl8CsR2GjfvzcGtaW18dNdUw\ncOQWtp+scC/oVmw/g0fv6CJ6jpGJ1ri4GAZWQWu8+/1+vPjIjQD8+8Ztfa6WzawojAwl7Ap6+pqY\naYjwmJOTvVKoALOw9RW5tOwOg+B6R8+WYMX2M37fsZdjGEZ36vRb09rgf1tzFM7y3dem/XnYc/wy\nxo/sput6DYlhUUe//fZb3H777UhLS0Nubi5effVVvPvuu0GVMCSUmbVkD85eqlCcyLmaLdnBXsNj\nYV9obtnC55qSEIXYKO1rNjYxyaXiary4aIdidAIjUzQrwb3HT1cekTlTHXk6Ql+pJTuvTLOJwJlL\n2rLuNQaZx6R3csx2jhwzaz12HvFpwy4VV8uGqywoNt9Z83xBJS5ywndJDa96tElK6BnJ2V0eMXIv\nV0lql42gtt6JwrIab/INqWvpTbQhBTupqt3pGPeOf1bk6joHTl/Q9n6ycqyYsPLTpmycy69QNBPU\nk6gEAFo3lzdxU7N7pHQGdzw209rl2LlS77MTZnVNjo80JeeDHGLd81w+3wzo+DnfzqkwdwArY4v1\n898y1UWZYRj37+X8TrQglEzEmnSjILkV1/5619ECHM4pxvbD/gERgg1DhOyvvvoKH374IcaOHQub\nzb0i79+/P5YuXYoFCxYYcYkrnhO5ZThwutDvjRMGt+d+HWjiBq+bnpjmVfC53w0tdV2DXQi8/LE7\nKkN1nbT9aiA2oFrJOlOMJ97e4P1cZsD2Krt9XSxiAsEOgHoXpecKKrFLwuFFije+VEily0HMXEAJ\n1QKUzjkrUEdFNfjt8sisW9cYkb5agUX/Pcx3ThY0Xs/U5gCMFxw9FzMcI2yDpbKj5nsW7mJCLBej\nm4rVSldImPKIIXxeejTNcm3pdLnw8fIjmL/M7WAoFUteb1vI7T4C6sJqbtp/ARlHpIUmXtVUVPRq\nEQdFvzIliqn2CJMOJ/8Eq8Ui+m6ZsaiV49ddfI3x12tP8D5zTaXYOVZscSBlbiaEYQAw4r4rbPnn\nCtT70Hzy4h94n5vFhPudI9yl49af1R8GW/ADMQwRsr/99lu88cYbeOihh7xp1O+66y7Mnj0bP//8\nsxGXIACcueivyV69kz+xcweAgO2mhdFF/L/ymnpYLBZDbBHl6vxqA8Y/vmxiaMKl60QGBk+DBpL6\nmx2EzBjuuQ5varhYVIUJc+WFm0CJVJjYhfTyCKBiSIWDZPsjuzAKBiM47oJP+GqywoEZjm1siUo7\nJg3tVBcoWha2LTjJlaRgbXa19M+piwJfMMotrGrqnF5nTDk/B71CdmSYMZviH/9yBGculWPD3lws\nWCaIOKLR8fGaVs1UnCVe0k+b3HGt1wnCjFqt4kK2VJ8PdE7cduiiruRkkxduQ67Hjp0VgsXCNqo1\nF2HfEbHMjux3K7arr6fQlDXMZsWUh9N4x4T15baxXLOaomAIAEPejAsXLuDaa6/1O96+fXuUlARX\nLONQQnRrRqH/8DTZIm+4ZDxPsbI8Z4lllmPLUbsSVotaO3Kz0fua/uHGtsonyVwv0OGhssYuGkO1\noVGbure23qFbctWa8bNTm3jR4xeLqiSTtLAtydqWS0Vr4PL+jwdx8HQR6uxO8wVOQfGnPDbKZmxp\ns+/8U3M2yp4XyCRnsYCXNbUh0NJUaoSmck9YTC3Cu9AsQY9P064j6naypFJgA/qfXbjGBa8c9XYX\ndhzJ5/m4fL/hFBav4UThUVHNiDDlOkndbtYZt9xS65mDX/2r2zbeapGIUX1AXZInrc0rVKJp4bjH\ntC3MM6eKjZf7VMYndzFuaYBdxHP7tnAhopcbrknGLT1aSddB5Yt6QGPMdbMxRMju2rUrfv/9d7/j\nS5cuRdeu/s5QhDrEtv+Vuhm3I3IFVpeLwYZ9eZq2tVhnE7EJu3l8FLpzHAFT28SDlZbEvK+lEM4l\nm0zOSGckpZV1fhOp0IlGLWw5gQplz83fgkKZlOUNwfq9uaqToNRqdGjad+KybEp2Ln278mOwirXs\nifOlWCWnKfI8Fy1Pdd/JQrz3wwH84/Nd+FZs18JAsiXsdv+7RcmJyDy0CBLCc999ZqBXoNFLboG2\n+N1aBEs1wu87S91932yFWno3n4me3eH0CkAsemLgKy0MpHYxwlWkxpZy0hWrg1+407wynkCopmnt\nTuWxRe0j6uDRilskNNlS5VhgQWkDR3JhsXmE6hiPr1S7q5TNZ+RgGIaTO8N3fP3ePPEf6EDOWbum\nzukzDZN5D2tN9PPQgyHRRaZOnYonn3wSO3fuhN1ux/vvv4/s7GycPn0an376qRGXuCIRcxrSMghy\nheyft2Rj5Y6z+PrX456ClK+fy3HUE9o9htmsuLNfexzOcQ+cXTskeb/7cNIQ/OPzXRjYs3VI2Ezp\n5fn5W/G3P3b3fv7TsOv8Qk2phX0cUhO+nK2isJBamZjPLGZmy1wisA+MjLBJRgdQu6jIuViO9Xty\nse3wJfRMbY6JD/ZS/E3nqxN5STvEUMou5q2dDs1ifkkN8g3S8khRKRODW85JUytOJ4PCUrWhJd2t\nphQfHPDv7/GxgWcKnvH5Lr9jK3eckTxfizCstNO2cb9P4JB6l/efKjQkkc9jd3bFsXOlKKmoQ0W1\nf1vriYFfUlGHmCh/+1jALbQHElf/6NkSXCyqht3h8iYzE+Ptb8Qj0nBRs0uw+UDgib7Y4YndFbZZ\nLAgkd1FD7jGypodsTPVAglBs3peHxBifuOjWa1t0hVj9bOofJL+TC3nIfZ9kzUWCYCeXiyGa7N69\ne+PXX3/FDTfcgKFDh6KqqgoDBgzAmjVrcNNNNxlxiSuSnSLbf0rOfw5eKB/fcaFZRyBbusP7tAMA\nXtgp4eTzjzF9MbzP1eh8daJsWaaEs1PB4jXHcFZu619lHco5jnHXtG6GrTozOLKXkxogPv5FfXQT\nNVFGxISOt57qjxYmbNWrsWNVYsna49jm8SRXY7IB+GsdU9skaL7ucTYGuuZfNgxiYwSLpvTEChw9\nWyLpLCeENRW6UOQ7f0B38W3glyScVx/6g7/5YSAcypbWoqq1SwWU11pfrTnu/b/YEPKftSewYNlB\nxShKSjz4h1SEh1lxa2+3eZqLYVSXKTe0vfrZLsmoKPkBRs9hGOC79af8MonqgU3+Mv2TDJ/iSFel\n5L/u3okftvXo2RJNY7ywvwgDFZjJtx4FF7tACET4/FqQB4HtQ/O+V7djycWQ8M4yRTR09BclDBGy\nP/jgA8TExOC5557DggULsHDhQkyaNAmxsbF48803jbgEAbd5glJyGm7f4wq+wj4ZSEf846BOAHzb\nUQCbZcq/zN7XpciWxTCMn8ZLKm63EUz993as2XkOm/ZfkM0YpxajXuhvfj8Bh9NlyCq8eUKU4jmi\nySgs5giTcpP6qoyzvBivYjhdLuRc9AnWasOMtRNEF1CKcy4GaxcabM40RpBz0ZwQjhs8obc2c0y/\n/ioR/1ho4sByR7/2mDNhAP45th8ev1P8t1y4SXu0MuXD7arDX2p5P8T6zLq96nY2lOQQ7zvjdUjT\nt0V+94Br/I6JJtIC8OUadZlJ5dAa8Sq/RFzg/2lzNsbMWo+LRdWi9VWrqFFKy/3Jcr5yY+8JlenT\nDSLQ8Tgrp9hbSKBTC9cp/5gnZGC9waYZkeHqOoicxrvJCNnHjx/H1q1bsXXrVixcuBAbNmzwfmb/\nli1bhu+//96Qih45cgSjRo1CWloaRo4cif37xVdQK1aswLBhw5CWloZx48ahsLBQcxnBiloNHktx\neZ0vfqZg1GaFOWG6aDWwaWVbcdJ/S65OFWYLF8P4xYM1U565XFqrW5Mitv3OfaFTEvRrbA9nF6O0\nso43EO7I0hcDtNs1ysJkoGmfp/3lxoB+z7J+b57i8xDaTNsd7vTRVbXyMVvbNJe27wOkJ3AxzEqG\n0Zj8vDkwbaoU7NjC1fiF64g+0TwhCm1SYjGoVxvFc08rJddRGFSemrNR5UJKvdgjFPTU2iRzqayx\n48ylclQL+jrbxuwVzufrMz8Rc4aTagetY8bT93VHcnyk93N+SbVXq3qpuNoviY4Y8384KHpcLsIO\n4BuXE+PkzY+0zjUj0jtoOr+x1+bFFbVegTTQBQJX+ZWjMYa7WtS864CCWNHYjS5At5BdVlaGsWPH\nYuzYsWAYBpMmTfJ+Zv8WLFiAMWPGBFzJuro6jB8/Hvfffz92796N0aNHY8KECaiq4r/0x44dw2uv\nvYZ58+YhIyMDKSkpmDZtmqYymhr5nlB0foHdPR0xkJBxrLDtK9P/HMUpiWm8FO1yCOOOAu6oEUJ+\n2HDa+/+kZpF+32vhxUU7cIajXRRqUZRg7XM37FN2RAnULCQqQtydw4wEMT8LnPiEsWv1Mu2jDNXn\nNuaw3adLCzw3qqfh5R44VYQn3/xNcxIjJYSapGE3tTO0fDXX1IPD4FjH3PHQ4XR5HSLVwI6IS9Ye\nxxtfZuKZ9zbzvmfv92qPMxubNVFVvZSuzRmPAzHdixQ4wO85ftmrcX/54wxJUyEuak2UhLDzmtGZ\np69rm4Au7eVNII3A4XR5o9SwPD5Cfkdn6iO98cHEQbxjDBN4GEFfWb6+wDpcXy411sk+TIUDrWKf\nDDJ5QreQ3bdvXxw7dgzHjh1DmzZtsH37du9n9m/v3r147rnnAq5kRkYGrFYrHnnkEYSHh2PUqFFI\nSUnBpk38OLzLly/HsGHD0KtXL0RFRWHKlCnYsmULCgsLVZfR1JDSSrgMELJZ2CgOon1bor/f1udq\nAMDMrzL97LnZl0hr6mezEdOcGm1GoJxaVhot2bgKxOKAM9qFyXeeHuD9f25BpWiCGCl7XPMx7tnI\n2T6bzchbrkHatfJmV3q5VFRtSKIlLhv25eG9Hw54Pz88zG1freSfoZaeqc39TEiUzKwchm0hqy+H\nKwzo3TmSWlCy407v66/SVS6L2PB8krNjp+Zu7xvUUfR4fnF1oykV7Z6FI2uzLoVc/cRCHVosFk1m\nF5tVhvYTsmL7GUxcsJW3yGibEie7YG0WE+HntFpvdwZkcsL1jeDettrMy7MnpAdwdXEU59ymosnm\nsn79eiQnJyM/Px8ZGRmora3lmWkESk5ODlJTU3nHOnbsiOxs/nZndnY2L153UlISEhISkJOTo7oM\nKSwWC2y2hv3Tg1XwO7vDJVmWzSYejkgJYR2bJ0TBZrMgKjIMMx7rw78PCW/8BM82XkW1HZeK+ROQ\n1fNbbqpYLVTU1Ktq09v6tPMe/3L1UdQ7nIptfy6/AlarRXQ1rfeZcRHaqIrV59p24g58UskAjp0r\nkcrwNYgAACAASURBVG0HNmmD1SZn6eYjqVmk17aSW5ZYVIfZE9Jx1wBtW6xKSPUpIcLFm81m8WYW\ns9ksGNyrtaH10spfbr9e1XlhYVZD+pYUdXYnvl57HFP/vcOw6xzkTMIR4TbYbBa8/Ki4EzzPt0PF\nuDj54TTcemNbPPp/nfHEXe4QsQzE3xUWNWEf6+xOxWtrjalttVpw4XKlYkZE4b0rRTFhGEb3PMFV\nFlpErnMop0hx/ObSIilaVMGSfbEcQ9LayPrlGNmvrVZf+zEMg6RmkYiJFG931nn/6LliyTosXecz\nY2PLDQuzaGp7sRCbUn2rtt6B0so62GwWr2kGd4emVfNo3D+kk+S1kppFwmaz4K1x/b3a9m9+P+kn\nE2iBO3YLdwXU3H9Ljkkp93dyf7MnpHufD+DLYstitYq/H2wYyWCT1QwJ4VdTU4Np06ZhzZo1sFqt\n+PXXX/HWW2+hpKQECxcuRHKydocjLtXV1YiO5m9vR0VFobaWP3DW1NQgKorv9BUdHY2amhrVZUjR\nvHms4VtPZtAsjn+PFpsNmw762/aGh4chIioCny894PedEsnJPoeyb2beiejIMO82D/c7ALhUIt6+\nUdG+FffXv/JNMxISYpCcFAOXRd8acPIH2/Dz7HsVz0tMiPbWd/OBi7hn8LVo21o+lug/vtiN5XNH\nIuMw38M8qVmk373roUZg+5ucHOfnXKJmwuZSUm2XrNvyuSMx7UN3WK7EhBhYVWzXtUiOQWKi2945\nKUne7rnFVc2QHICtuhhqTQMSBXVLTo7DP55Mx79/Oojk5DhYw2yIiw5HZY0dV7eM89q1PvCHa/Gj\nBrv9yY/ciLnfSEfyuO7qRJ52kOWh27v4hTsUIykp1pC+JQXXbMaM63DLnPbXm/HW4t1+33do1Qxd\nrknWdP0Hb++CnZ730GWxICEhBjaJ/mtV4XF3vqgGnTpIZwUFfILG1Ef74O2vMjFiwDVYtf2M6Llx\ncdEoq3XimTkb0EJE2BDCvfcIj6mAVJKX8Ihw3c8qPsFXl5hof5vluOgIb9lqIq9ER0ciQsR8LCIi\nDE/c1xN2hxP3T10h+lsj+hsrcLFjEgDUuSyIjLAhNlbcCfyatolAZi4qap2SdTic41sosuckltXD\nZrOqrreYgCv125nvbsSp3DIsnzsSkZH+YRQ7tEtGpUzs8/btkrzldzhw0RsC+HKZfqdgbl2XCsLx\nqmkDsXOUfpecHIfdJ9xK2rTrr8LMcQNwz+T/eb9PTIxFpJi5oqepo2MiTB0vtWKIkD179mzk5+dj\n9erVuP/++wEAkydPxosvvog333wT77zzTkDlR0dH+wnDtbW1iInhD1xSgndMTIzqMqQoKqrS7Bkd\nKNGRNtSoiHnMpbyiBpeKfC9oaXkNz86XpabOjtc/3YFjZ7XH0i0u5jvZ2GulX/zySnEhu1pmsNiT\ndRH9bmiJnzfqc1B0OBm/Oorxw7qTuLu/L15r9vlitIhXjtNbWlqFojL+fcVFh6u6phJVglCLxcWV\nfqEGtdqOVlbWSdatuLgSDk+0jtKyarhUTKoOhxPl5e5tzOIS+W3w4pIqWFQkhWDR0+dZmsWE8+IF\nlwh2SIqLK1FQWIGT50tRWFiBjZwY1uPu7YbXv9jt3vnRuJZOiJYfRs9JOCyXKLQdS3VVLYptbrML\nrnbNDIzow3Jldmnnn3WzuLgS0ZE2pKUma75+pWd8+eyXLBQUVWHUrami56mxLc69VIbiYnmTFvZd\nqff4P9jt0iZaZeXVcDnd3xeosC3m3jsbcrVOIjujhXHpflabM31ZBKtr/Mfh/OJqb9lq7PUrK2tR\nL1JPe70DxcWVsrulxcWVuKZVM81O/VxyCypRb3eiuqrWazZUWFQJqwUoknjHqqvrPP/WS4+NnKy1\n7DkVlTWotztVt73YWH0urwRx0f5CNJuttbi4EnV1/nHPi4srUSUTe55bJ4bz3H7bpZw1clDP1ujY\nOh5fCcIhyt3nhUvKskNxcSXuH9IJP3HCS6ppu3rPjq7T4d/Pi4oqRd879h2vqpKe78xCTqg3RGxc\nt24dpk2bho4dfbZZqampeP3117Fly5aAy+/UqRNycvi2qjk5OX6p3FNTU3nnFRcXo6ysDKmpqarL\nkIJhGDidDfunxZLj6fvcSVEYF8ML51RdYxctx+VidNtja7kHrvZ/sMdzOLVNvGzq76NnSxTDuumt\no9R5ALDov1lwOFyK7TJv6X4/DY/VYgm4zmKI1tvzQN97biDGjFDOqFpvd0q2g9PpM8R2qehzzeMj\n0bF1PFolxWDqI71ht8u3lcPh0tQuLgZ444m++NeT/RArMhHJESuwRxQKCE4n402ewEbW6NDSk8kN\nvkgLWp29XC4Gf75N2vRDTFBJahapql1G3349EmPd5zaPVw7NKMX9g6W3mbmoSWSkFTXvIOMCXC5t\nY4vTyfDMN/KLqyXfXTWbkEvXncK2Qxflr+m5oDe6h0z3dzgZTSE5xdpJ7Pc3XX8VRvTvINmeSnzP\ncdaW6upyz0tITGSYeL4D+J6tFE4ng9S22uPXC/lp4ym4XL4619W7EGa14neJZFAuJxtdS909suXW\n1zuRfaEca3edh9PJKDrqiY0lWw6I9zHutUQjpjgZb73l6uh0MopjpzCqTGrbBNzau63fcam2aZMS\n6zdWiJkWOZ0M7k6/RrKeknKD59zwMKtfHewOl0R+DU/5LuXyjf6TwxAhu7KyEnFx/pK81WqFw6He\nGUuK9PR01NfX4+uvv4bdbseyZctQWFiIgQMH8s67++67sXbtWmRmZqKurg7z5s3D4MGDkZSUpLqM\nYEKP/T4D/ovdSiKMGVe4MhPuS9u6uXvXoEVSjOylN+hI0zpYZegfJVbuOIuxb2+QPWffyUK/TFdd\nOpjncS6lCYqPiUDHNv6aQSFiP4+PCccz9/fgHYuLURZq3xqXjj8Nuw4WiwWd2ycp2vRr7cMWuNP/\ntmsRJxpeTAqrxYKX/qwcVpCNZPPLtjMAgIsebbd7MajPHMxisWiOoPGghMZVSEKcL2KNVEQXNXRp\nn6R8EoBF/z0MwPeuNhQM9LU+N5230yUt1KotWyzpU3lVPX7c5BZM2bGVvcrVLaQ1WHojc5RU1MkK\n580TokSFuzCbFVMf6a3rmmbzwsNpkt8Z4TxeK/BlsTtdCAuzIkxE8HtjTF/fB4bRlBmVXcT957cT\n2H+yUFHTL2ba9r+tyn5ggVqmXq2QQl0Y0cv3Wd2FO7Zu5mc+q+RHoAW2LLE5QOm9aqZROWM2hgjZ\nAwcOxL///W84OdvCJSUlmDNnDm655ZaAy4+IiMAnn3yClStXom/fvliyZAkWLVqEmJgYzJgxAzNm\nzAAAdO3aFTNnzsT06dORnp6OgoICvPXWW4plBCtaBmm2vwt/IxXcvbbe0SBhySI5NoXcqhnhADxr\nXH/v/6+/Wp82xMUwPKeoc/nqti2Xrefbp7HRUozmdF4ZT5DwQ0VDivWj5glRXudTdrAUaoLFCLNZ\neYOrlDCQ4EmPzdqPi23jC0NAAvx1nzo3TDfJ8ZHelNztW8b5lcUinFxu6d7ac1z1pTQjFnqrfzd1\nEVe41b3hGmlB+R5PUhHJ7Joq749NvvPAEHWLAMNgGF2CRVdOmxw9U8JzuOQSSHCR/acKsdITq51b\nzucvDZWN6yuW6lwNkxdu82pgxV5vqZCnba/S7jekdLZRgRrayAh9cruaahGa7zkcLoTZrDzBjw2x\n2q5FnHds+HlLjqbQitwoNXuOK2dvvFjkbybUEMlS0hSSwAkFYq2msA4n47c4MtJlTc7h1iUT9rdv\n1xZB5ztniE32K6+8gmeeeQbp6emora3F2LFjkZ+fj06dOmHWrFlGXAJdunTB0qVL/Y6/8cYbvM8j\nRozAiBEjNJURrGh7FbmxTX1HXS7xyUvvi641IgP3Kj5hj0GPTs11h6uLCLei3u5Ci6QY7//1svXg\nRXy52ohMZua82P/6eg8m/b9e/IMaBxGxR51XWOUdyLjFKWVAE5LcTNyEITzMikWTh3gXWSP6d8Cy\njad55yjehY4mfeOJvmibEosn3t4g+gIJPcHZidcWgMMFW2KzmHAwjM+eloWrjdYK17PeYrEgzGbx\nC+vW74aWiPJEUYiPixBN8tFJxY4HF7P6sxQM9MU05k621XUOfPDTIdHz9GaErLc7veOD3eHy7WCp\neE0+W3kU/xhzs67rVnh8VsQWyFLNdPZSherIO2KE2az4f0OvxYUirh2zfoGQWxOpejmcLhSWBR5r\neePeXDx+Z2deueFhVt57LaW00hInnmsaYNcZXz5RxXhQKbFAM0o8jwy38cxK2ff9hmuS/Baqva9L\nwb6T/GhxDocLGYf5ARXU5Lu4b6B4uEchwvGndfMY74LFxTCyc0Mgsd3NwBBNdosWLfD9999j/vz5\neOWVV/DII4/ggw8+wI8//oiWLVsacYkrEl2abPC337jCdAdPqDZA/xYda8OqB/aKyfFRipO+3MAn\npuFUo/UU07pWyDhgasHMhDrzvuNHgBlzV1fv9quapyjWj+rtPoFBrObTJcKtCREmnGCZ+GAv3i6G\nGFqa7IU/qdsGb3dVnFdYC7NZkCJIMX9DB36kI4vFnb2Sm5lO2Je6dlAwtfCc/vqYvnjjib4Y0b8D\nzxxE6TbbpEhHaBEK/6882sfvnGtaNfN1BJEO0bF1M839s4FlbNNC27LhKbnlD7uRb9rTShD5Y9P+\nPO/4w409zxXUtS5GlbheEEOcra/Yuyu3ABLbHdKC1cLXLAf2XHz1FHP0A9zmeYdzig0fP+1OF8Jt\ngYe+bN8iDo/+n094v4Yzh+46qqzJFqNP5xay37tcjGChYzxTBaZ1vVLdmu/nRZJeTXyol98xu9OF\ntZnnecfUPEKp+UIIa97G9j/ujoBUn2QYYEhaW1zXzvxkQVowNF5G//798eCDD+JPf/oT+vbtC7vd\njvp6YxMdXEloGeB4Hdzzu/7dWsLFsVMcf2837ykul3gMTyXUbnML6wK4J4wFzw/CSM9qlo1xK4ac\nlrvdVbHeNM03d24hG4eVi1DzcG27BH/BW+dg35CavxaJ0eiqInU6i/AWczzRZrwOR2L3HKAMISc4\nsohqLiWu20yFvTiXDycNRkxUuJ8AJfacrmuX6KlLYDedGBeJxLhIjLo1FXf0a4+5fxM3lWsraBu2\nRndyIt1I0b5lM685DMvAnr7dpZu7yk/g6jGmP7e9SrkfAG6h1Yx1qtiE+399+aZdYwTj0OI1x/HU\nnI04faFMOomMyq4iNBnp2iEJkx7qhccEyXQiBGZ9bBITscvc1Fk6AU0gmmyAgcXKz51g5FJCrN5s\nwrG+NwTeb6tq7Vi7+zxmfLYTp/LKECYT51vt3Drq1lReQpvmCdqcj8Wu7nT55qELhVV+MdzHzt5g\niMmDXFbf5hylwkdTbvUuztRe9+DpIlTVuBegrEJGi3mfElyFoBApE0UGDLp2SNL8jMzGECF7165d\nuOuuu9C9e3f06tXL+9ezZ0/06uW/CiLUoU3I9qmyWS1LdEQYKmvt3niZrA0uIK8pjo0yxIrIDxfj\n1miwTjtykwVrAynGY3d2wfvPu9PHPnH3DXj2AXUpp38VhDKywl8AzTymTzsR2ORmLkJtWLUnc2UM\nO7Byvrv3FnXbeXKodUK9/WZ5O/ZkTzSNgT1bS9saS8A6CQp3bNjFGUu/G/x32oQDvJ7tR4vF4jVF\nEfaMh4ddx/scHxshqemTKhvwZVqNjQr3XmT4Te2waPIQzfUNlLs9NuFCRvTvoK4AxthJmiUxTjkk\np3DRw7L7aAHmaLDXFWMu5/eP39kFL/ypN7p3au6nuWYRChBCW2NA3tlS62JfKFNZLRaeGYGRUnZq\nG5/fDDsHZOUUA3A7lwKBOdxOWbjdq0AoKqtFWJgVfbuK76QLxwFJAuySYs3H7i7vOX4Zr3y6E3O/\nU9/HwjSYtT0y/Drlk6ChLQTUefI3aHHI1tKcEx/sycs4yRJs5iBKGCJkv/rqq7jmmmuwaNEiLF68\n2Pv31VdfYfHixUZc4opEk7kI+xv4wv9s2JfHywIYEebbqjlfIB1Hcuoj4lEa/vVkP83bkeI22W6E\nL+d7z6qL9GKzWTUnZAHcIb64uETqpBd2clOruWtIhILmN7+7E6B4J2TOyHdLD7dWlAG8WcO0Ei2R\nZU1IlMLW4dvPDMTzD/bEmBFddT1vQHmhmiKSKEfRPCRAhM8jOjIMC54fpFrIjPa02/iR3Xlp7QG3\nAK5kpsNFavtWSaHVTuDIJiXbde+obseFAXQLNHJ1VaOZi44MwwMimfTW7j4vcrbbRjVVIuuqHFwn\nyZZJ0fg7dxve0yXGzuZHNsov8bevl+rTw/u002x2wbUPZhj3LteuowW46DFX4JrFTJaJEMJFqgp3\n9PPt1AiVEkfOuLP7qo2CI8bfH+qFcfd2Q3xsBC4VVSPMZsUfOFpobrMNSVOnCAjEV0MKdhGzfLt7\nt/ZiUbV3ccAitYOi1twCCMy0U45/PM73M2AXRnJdj41kxd11U6JnaoqoVtrFSERGC1LZ25AeVFBQ\ngClTpmDw4MHo27ev3x+hDy19hp1M5IQKtVoONkoDl6gIG1pLhANUS5KCw0d8bIToFpdQaFMzj5w4\nX4qyyjqvE9r5gkrsyMrnncO4/D2k9cJOGkZptNVo4NTCvcWsnGKvfZvShCylBVJCjWbkrvQOogIQ\nd1KPigjDjddL73aoQc4mUxhjXG9XUHri3Inilu6t0LG1uD8C2xzclMJijL+vO/71ZD8APm2/UED/\n/KWhsjVkvx+c1tbvO/Ff8Hnpz72R3s3XP6TarlmMeD8WOkAxjP7oBHKhG40042Kdv5685wbES9yX\nWiwWC3p08jm1BjoKdWoTj4eHXid5v1LxnAd0b4UPJg7yfmbNW/Ycv+yuF6di3VSaqFk4Kh8hn780\nFJ+/NBQtk43NAgv4zCOOnCnBuYJKhNuskmOcUnxr33nG765sPejOUnou36fomrk40/DryDlcB2KO\nktiMX66ahR17RoyKCFZKhJiMbYyQfdttt2HTpk1GFEVwGHu3cqIRFm4//zVD2tRi5hMqFj0i78y/\nnuzvf1ANnlF64d8Hq1rFigmpXA28RPX8Ds76z178/YNtePs/7nTXX/3qiyDyyqN90DO1OVxM4OGU\n2O1wdtDWsuXdTkLr/c+x/TDvGXGtvl8cXBXVL6+q96Zm/14kXXhirMhgrKFZPn9pKC+8nBoTgdio\ncBzXEJ9WL8JECFyuUxn2kTW3kkKuqT5/aShaJPm2wJ+4+wZF05A2CovZ+JiIgBe8LInNIvHoHZ39\njqcomOdYLBaMHOTT/mp9i+IFi0iGYXSbi8hFa1ArY6tZYBWUuBenpoQI07DCE46Rj97RGX8a7haw\npe43uZl4G1ksFq/gwzDA4Wx3ZIl6h76kRP94/GbvXCQ3tAoVLt3Y8SOAphW2S3iYNWA7fyMS5Yix\nW6dZolGoXWSIIRtStgFwMYxsevlgw5DWmjRpEj788EOMGjUKf//73zF58mTeH6GPa1qpD7vFHUv2\nHuNrbGM4Jh5tFYLUC8sCgAn3dffal+olOjJM1eQk6tQg/JmGkTPPs+3GncA7tYnHyIEdwTDaMrKJ\nIWwXbYO6+MlyToOdBdupUtuH3Ge+/fAljJ+7CQzDiJoJ/eX26zHvmcDi2d9+s3sruEPLZqpt9CSd\nynQg1e5yphPRgnqaqQnpxQnFJ0RossRO7AN7aAuXKYUwOynLHwd3xG19O+DW3vyt8y7tE9EqOUag\nDVcisNZzh/DT99urZBYENqsFgziLe+E1rveYfajZhmc12Y3tfiEcR29Na8uzdxb/kXK5DBg87tnd\n4dllq+DROzpj2l9uRHuOiYLc2PqYYBfpDs/CPJCmFT5DYUx/scQ0UjSPj8Krf+2jyfwm7Vp1Dvjd\nOibjqzWBh41Vw8uj+VGiuEECxHas1SB00m1oXC4G5y+bG33FSAxprenTp8NisaBdu3aIiopCREQE\n748wlj4iDoM+cxGGFzAfcMeP1YJwEL+5i37Pb61Tr9hkJxzmxDqt0lAoFGQsFrfm5tdd4naXamEd\nd7jlqsdXJ70ZK6UEjL/8n3+ab6nMZhHhNj9toNYQZex9P/tAD/kTOfxxkL8drNYOs/Dvg7X9gINa\nbY4RjsBqbottQ9axzShzUKl4vvcN6oTWKf4JTNK7K0cQsrIvkAzc0GdC/F4Tk1Y4FouFt23OFSxa\nN4/BS39xCyGs7W43GRtyb8hLEzTZZm91q60zK4T9nimdDEeMxLhIv0gucj9N0CngSREeZvXb8Qyz\nWXjv0NQ/34h/ju2nqrzoSJukWZcUakz8OrZuhtioMFTVBp4JG1DOHCs0d7EZoIWWslNn+1jr5jH+\n/jYGvjIV1faAlWMNiSFhJDIzM7FkyRL06KF+giX0EydmD+gLLqJL0/L4nV3whQFJWQLlkeHXY5bH\nxIPFb4JQuL/wMKs3/S0APL9gi18oLQsshthjn/XLEKlvNImNCsPT93XHh5601loIs1n9osXERoXj\nzv7tsTrDF1FFuPiSIykuErkatAVs9I9Adzy0PhElR1wxx5k/33Y9/vPbCdX283+5vTM++iVLY830\nwK+PUU70UqYCLFaLBd2uSUKWx/mMq5G7vl0CTuSW+f9I0HRideWGPlPCrBB+Fgt/POReglvnMJsV\nT9/XHW1SYvHKpztlyzQjJr5RzzqGsyB86A/Xes3DVHV1BjwH47KqeoSrsEmWqrqWTI4W77/62vax\nu27wO+Y2F/GVJ+bkLEablFh00eH8XFqpbMJgs1l1mShK+bnc2b8DfhAk+eLSIjEa17ZLwCmxd9gA\nxLLZmh3OdtP+C97IJqGAIbqSDh06UDzsRsbbrRmfUDr0RvWTHNfzvTGzkopt7w8RaHlFB2LOIa6A\nDfBj1bKxua1WS8D22H06X8Xbigb8NTTCZCh8fJV2b5fra3ixnwXyDD9/aaiiTa6QlskxeOHhNNX3\nYLHos/vsqzEOdFx0uF9YsGE3tcMTd3X13/aU6A5JzSI1efVrYUhaGwzxOB+a9drdJWOXzpJ2nXt3\nLC46nOesOCJd3L4+0HnUzyEywBB+Ug5qVotFtVDcp0sLlfHdNVWtQQkPs3nDUnKjeTwnkmREiLD7\n/3PxbjBwL2TFTIekQnCyAqEWJYaWkVjsWYeJCKGs4+ObT/XHq3/1T+IkxT/H9sMjw/13ApW4qCKB\njM1i0aWF1btjFxMVjpf/cpN3/FLTdbXsqrZvwY9gEhsVhmtMimrC0r+buEN+qsastg2FIUL2hAkT\n8NJLL+Grr77Cxo0bsXXr/2fvvuOjqNb/gX920za90kEIQYq0hN7BgAVvAEUERcGrgomCCIIKlwso\ndpSokSaKVwEr/BRseLEg8hVQc0UQKYoJSJESQkLapu38/tjsZmfr7O7M7mzyeb9eaHZ3dubMs1Oe\nOXPmnP8T/SPvOdqw7DEN/Sr1lpxlX5SJMTpZT/ZSj7OmtpH2usCzHqTDm5OcaVATrVYjuU2wowQr\nOiIUowe0FQ2qM33MVaJBSCQ/YCJ43jzgTjsPrsl9S9vywUZH3Bkgx5EIFzXTct0lHNy9hVsxUiqv\nuvP6zuah05UaREFKyAZ2bY7br+mIJ6eLb6f3SHHUztTzWveXZw2xGUDK4EXvIgCw9uGr7b7fNTnB\n4Xw97R/Yk33LVQLg6bDv9tgrnbN2645cvFwJZyNYX+Vgf3/sbuPD9e5sE+bnBiSE1nJdTA+P97HT\nE5Lpgc7mCRFuN/1wJjHG/n4q5aIiKMj7yh1TxY1lV6PW3epZm2+nW15H+UFkuPQGDvoqcbOXFx8Y\nYm7Xr4QWiRE28Vs5Zxiemt5f8ngZviZLkj1nzhycPHkSTz/9NLKysjBt2jTzv+nTp8uxiEZvQF3t\nhKu+LwU4boPpiOVt86E9W8DySHfL1c7bfHnLdJA09cBgPynVIGtc/WiV9k5yUmvBTLXcYW6cYMcO\nbmf3/eFpLREWEmTuWxow1vq422QiuUU0Bndv7vFt6EHdbB+QszevUosafSk1dpZaJHjfm0XX5ARz\nEwJHa7r4n85PFoB77b7dERZiv8uv9i1jnCdWMiX+Q3u08LjGylnxTNujsxFWI3TBGNm7teSu6ayX\n504b/uiIUJt4ChBkb4Zxzz+6ICFGJ1qW5d8xDkYRnTtJWn/Q7nA1mqflsNFesxNGb2Lr7ldNTcdc\nJZ3/qLtLkhSrE/XA4w5Tsw5735cywJOri3p7rEcINTFIOO0GabVOa7Kv6eN8gC4AeKKuXbnlXV+p\nF1H/GNjWPEjNlR709W7NsnmRRmM8f9trLiLXQFMRumBUWLVnDw8LRovESI8f5FSaLG2yjxzxf1ve\nxqJ7SoIoWTKpby4ioKyub2ipNQmWB9EmseGi1+6MRGef80KYjjdpHR0/mS3nudfULk+OdmPWQ3bb\nI6XsE0Z0QKsmUSgsEddmTcvogtc/PexR2eyt3qZv67vvkzoYg4mntX6WTMnLt/tOO5zG2QXKFU2j\n0L19AtKutPPgrwwH8YVT+9jMpV+XpsZeCryeu2sajUbUxlyuR3tM26n1ADKeuHFoMrbsMg6iIWra\n5WVhvekn2xHziKZuztfZw4+ecpRXjR/WHtt++AsVbj6c7oycI2e+vHm/k4f0nP/ors4/Nw9PwWd7\nTmD8sPbm3mze+fJ3l2WyvFCaeHUH+w9QQ1qNbMagdna7NXXG0SBaGo2xQubj7487/G6QVoPK6vps\n/IHx3fHKh78CMDa5c9Svv+X5KiwkCE9M62+uiV736NWS765c0Sza3AOMN934mbSrGx332r5tRCNK\n2xRHpk1Sq5HnWSpf8m9fLCQ7y81P6sZo2kHXzB1u0yxF6e25RUIEwkKD7CZOjnhzMjYNmS1Hcwop\ntUPuxM96fl2Txd2+ORsRMyHGde255cl3hINBSBwZO6QdlkioZXaHu7/AY3f3w9AenvXCIkWTvJkT\n+AAAIABJREFUuHCHbdHt/dRBdkbMVJOBXcW9hMiRxGoApLSKgVZr7LXDVPNuuZlLHeXRkiAI8vfa\nUTc7y35977imvq2tL0/VjkaWzRjUzvzMya79Z2RZ1i1Xp+ChSfWjSfbxoneoP0+LRyJc9ZD0Oy3u\nnn88ERykRZTVHQnThbqUCiLr3yVRwnHUm7sCWq0G5RYXLRqNxvygcWxEiMNDifUyWyVFmtfP0/iN\nG5KMxf+0bat+Xd8r0K29/X3Yeqh207JvHXklRvd3PT6Cp25NNzZpFeBeW381YJIdYFxtX5afS62F\nNl0lh4YEQePGg0JSuCrvvWO74iUHA69Ystyx7JXO3SLLsYpy9xdqXftsqqkYPeAKPDW9v9PbYdYD\nBFj3pgKIHxhyt2ZaFxpsvkCRhUaj2uTUHnsnMnPbQIWO+e7062uP9YNpctRcAcDCKfX9B5tq3i1r\n4O+7sRtedHJBaI+3bbLtMV1Umrok7N2pCdK8HEHUU842EdPxV67eneKiwtDN4gJ9zKB2Lr8jNfS6\n0GA8fFua6wkhfdRa0e/uoCD/nlqfDLrqFeihujtmkRJGF7R+BkhKc2nru6DTxxh7Niko1rs83xUU\nV4h6pBIgmEdQbN3U+ztNjrRMikDGIHESHB4WbHcsjpjIUIfd9o7s7Xw02nry7sym9vXBWo3iFX9y\nY5IdwKIdtCk0Se9Vv0M4ehIccH5rx9urRlffDwnW2n2w8J+jO5trTTQaiM5Snl65X9+vvl2kt4eA\nJdMGSCqHs0lMSbppEkdNWBJjdC5H+LP+rmXZTDVZcvXNKhdvb2tb19QqwbT5etu6yN0eBRb/sw8m\njOjgekInrLe9lkmRHnexaOpFx95aPJs1EKPrerIY0LUZwsOC3eoHWRAECIK8bbLvuqGz+WFdOZo6\nucM6mQGc//5y9YduT/+rmrno4aiOG6HvIrF7O6nthKVMlxRXvw6tXDxP0qxueHUpF5U2zwZION9Z\nHwssj0N9uzS16XHKUqXVID/d29dfDE0e1VGxioeQ4CCMHyb9+SrrY7P5pl1dvDq4ORKmt6tl+l2O\n/FWED3c67rJQjZhkBwzjZmoQ6h8xennWUKffsEy8bh1Zf5vHuk2Zo5NbdEQIkt0YddKeUb3bYIKL\nDvOtdWwTh54piaKhykWHPg/3WMsEw72eJeqnnTne+NBdSwdDopuYDkIRdgYy6XxFnN2noR2VSUpJ\nrZNsy5emv0vr2upnju0KNfA2p9KFWWzHzp5L9OI60fyAqJeFdbdHgXbNY+xuO45c2TrOpsmQvYEn\n3H3g1aRjmziHnzWNC/eqlvy1Tw/VNRfxeBY2hvZoaX4oy7RfWT9DcbeEXhC6SuhVx5q9i8eaWse/\nvzsXm5bNQKTIHNvVYV/yju6MmW7NuyJHjeIb89NFPX84ikVIkBY3DU2WNE/TsVBKP/jW6yBlnZw9\nz9O6SZTT3jVM321Sd9EQHKTFFebBpzR219/756LcZ70vWq+zuz0hNY13v3cbS5aVdZft3KVVM1ke\nfCQfEhw8cFe3V+z8xfFDZY44SrJdJfFStG0e7XYzg/m3G7sbEtX+WNZkO/luWGiQubYgJjIUl8vq\n+28X9f/p4Qn9imZRdV+3ql63YhrOdtk7P9v93F7NtL0anYdvTUUHCU+BWx+cNRqNuXhtmkbhx8Pn\nzZ91kZo4qPy+nC9am4yp61km1MvaUCk1ZN5o3zIGL9w/WPSevf6E5R5pTw57fzuHpFid/G2y65jm\nat18IMFBV2yWru/fFhVVtcg7c9nltCZBWg1aJkWauwhtmhDhtCcHqYMiARA1A5GTsSLDuI1e2+8K\nvPeN9IcBfXWYMI9qXPfaUfJpOp9JuUNgXcsv5c6tNw/Nm+6qROpCkDm1GwDjoE3mXpfszNp0PvQn\njdXt5LtGd8ZtI690PL3V6xaJkXb7WpfqimbRCA7SOL1YVSvWZAeQEakt0f+qZri2bxu8Om+E3Wl+\nOHTe7vuWbrR6GtvXt1Ml09T/37KLMHsnY3PSarEPWrdTtmyW4umtaXebOAxPbWWutTAZO1hcI2Mq\nSnx0mM2BqEu7BIQEux4IxdT0xFTTZbl6NwwQ376W2k2bUiaMSEF/NweV8TXTQB6m7WT+7b3w1HRp\nQzLb075lrM8T3GA7WcaU6zohe+ZgO1M7p/QALHLXZFvypKeDZzIHmP++bZTjZMKe7imJokUsnzXM\n6R0EpUfIk8I6RvYeiPNlOUb3t+3y0N3tw1Vc35ifbvO7SKrJllAQ6yaQbepqq00XVCXl1YiS2B91\npBt3tJRiHcvQkCCnzwjdPCIF44fZ7/XFE8ktYhz2ha92Ks2uyJ6p13fGFc2iodFobBJjKd3JmVi3\nz7auSfH/Id/IshyWBz97x7g2dh4aMdU6A/I99OVqGG9r/a9qhvtuNNZYmBJod5oBSGUKSae62/qW\nB0Wlagg9dcOAtoiNCkPPDo67bZRCyTqNlJbimscECe3inZkwIsXthwG9FR5me3EWFhKEuCj322UL\nFndFlGAQlBmuHLCz/UvYcJqZ+l12o0imB/2SW8RgULf6droq2/0ksfdAnCP21m/i1R0wpLvjtsmu\n3HK16yYrzu4OvTE/HUFuNnafM7GnuTmgM1K202Sru7emO2GmkVWLSisl3UkBoIoNyN198+q0VsiQ\n8MCtt+6vO7eqGZPsBsLTB5oA233YV/0Cu6LRaLDkn31tdnBnZbNMLjMGtUNwkBYvPTAEL88SJzie\nVh6ZEmR3jjly9lvrSKT51qnG4r/eaerGhZsnRP0se0LBLLtVk0iHQ3WbmNpAq/UGZoQuBGsfHiHb\n/N6Yn+6yq01PtztFuvCr4/UFtsQf2PIibLTV3SNnQiXsB1J76vCUN6G3l+te3/8K6UmkREptH9f1\nM1Y6dW+f6PTZAxMpdx6sy5r/t7FHEdPd1cjwELvbpb1VVMO5WA13W6wlt4jxqntKX/H/fQhSxAsz\nBpn/bpHoKlmyemhOq8E6L9pPycnUnlt8ILe/wy+6sw90oUFY+NoPGNazRd0tphEO5uz+QcM0/LW7\nfFERce+Yq1CurzEPZiBHzX3Xdgl44f5BmLdqt9fzkmKihNorR+QOcfOECJe3J6N0ISi8LN9w2EqQ\n6w6O8s1FfFhhJ3E5UeEhaJEQgUsl0n5jRz2IuGrnK6VNdrfkRHNXhHK449qOiPZzszF7HG0D4WHB\niiWbUrr6syQl4UywqvQybQOmBwAdNx1TR5Zt8+Cj+nJsPHiLOodRt8aa7AZIq9WIehpwdRBX4w5k\nTdwm2/40yS1iLGqTnK+U1BO65bC7s28xtneOjghBrBu33JvEhZu7E1NKhC4ESXHh0Go0eHRyGjpe\n4bpGRm3c7Xdcag2yUjXNaq3B9idPY6JkTbanch4cioQYneR1sk6mp1zXCQAkPVPhilarkdx1nitL\n7+6H9F6trfpCdj/2prX19cWR0g8RuyLlfDn1+k427619eAS61w3y4nDUSLvL8/1+YX331Z3zna+E\nybBf+QJrshsg0wnLdCxyuYOo69xmnxvH1bQrkzDQauRKa/aOW+FhQaiorLX9wMqKOcMQHhaMijJp\n5QkPC8a8W+sHcFD6HNHpCuPJ2N5irAdfUJNBbtbUST3Z6rxtlkKKu1xerYamp/ZJ3F+ta7KvTmuF\nq3u1RFR4CAorHNeG+zpptDfoibPYuxp8Rs7iO2sL7otmd1JIuTtk78IqOEiLmlrjkOqOmsqpZh+w\nKscz9w9BwcUS+9P6ib3xNdSISXaAcGfnEwSYO5h76YEhLnsPUcvByxnL47irK3vr/qftsVdrpvIe\n62Qx5xb3+tn1Ze2iLtS9w5HU5GT2xJ7QV8k/EI/69xr5SD1GeBMTpWvszHfDFNrPp17fGQVFFaL3\n3H34zlpijA4XL+sVv9vobPZShhqXS/+rmqH/Va4qSPy751meT531sGHJ1EzEVHR3EkQ1JN5x0WEw\nVFejViVd6DnrElNt2FykgTIdiGIiQ133iKGCndgtMpTX3izsPfTSu5O8wzA/OKEH2jQT1yT58qQh\n98NI/iR1fJfYyND63iIU4O/b1w2FkrvBkB4t0MvFQ5uOCBKz8jZNo2Qdtv32azpi6T39ZJufu2bc\nZOy5ISnWu4FE5KKWZo2WNdkvudljkOlY7+qhb9HAaW4tQR4qCbVDai+fJSbZpJqDlzOtm9QnpnIU\n115i2yQ2HK89MkL0nrPRuzzRs0OSX9rYNUT+SG7V0GdtQ+XtHTVnbfrvvqELmiW43y0foPwdLke9\ni1zVLt58rGjXwruRd12yE5PenZpi5Zxhjh/08/XuZzMEuo+XLwPTGjj6zU1d8Yo/5/nCRgCdQwMi\nyX7zzTcxdOhQ9OrVC/PmzUN5ebnd6aqqqvCvf/0L/fr1w6BBg7B69WrR56tWrcKIESPQp08fTJky\nBb///rsvii8LJTcpeyMNqo1xRDtjjyly7F+O5uHt7V216t5emZHi/MryJOujg+7z9w+yec/ft6+V\nFhEWLOpzXinehjEQmr3ZM7i7/WcRNBqNOSbdkhO8Xs6r80aYa6dtluUgdu6OC6AkUwkD+c6R6Vjh\nqDOC/lc1s+kRyy+HF5XvSiovnojqM4odO3Zg3bp1WL9+PXbu3Ini4mIsW7bM7rQvvvgizpw5g6+/\n/hrvvPMONm3ahM8//xwA8OGHH2Lr1q3YsGED9u7di4EDByIzMxMGg8GXq6Oo9F6t3P7OG/PTvRpk\nwx/kSGrszULqbeFApHTvJv4gtbmInEztxls3iVJNbwdKWzFnGFo1kZpke75ven2HJ5DOvBYcXdhr\nIG+CFRKsRe9O9vsVdvchstm39EC39t4n/u6IjnSvq71ApNFoZOt2syELpHoN1f+aW7duxYQJE5Cc\nnIzo6Gg8+OCD2Lp1K2prbXuB2Lp1KzIzMxEdHY127drhjjvuwEcffQQAuHTpErKystCmTRsEBwdj\n6tSpOHPmDM6ePevrVVJMhJv9fQYaOWsMpdR6ydVllt9Y5H4NMQ9syBdFgcu93yRINDKpd0uuqnbd\nM1CgiNQFI86yXa7CWcWiqX3wbNZAydP3SEkyJ4NJsb55zqN/l2Z4ceZg8+t/DJQ+4I8vOO772n1X\np7VCu7oxIvyRUAbqXSE1UsW9oJqaGrtNQLRaLfLy8nDNNdeY30tOTkZ5eTnOnTuHli1bmt8vLi7G\nxYsX0aFDB9G0b7/9NgDgnnvuEc37m2++QVxcHJo3l9ZtmEajga9bEgRZjDin1WpEr+1Na3nCkjYq\nFZzOU21MI/AFB2skDeDgjL3fUqMRx9gUH9N7pv+bYivXKFiWy5CTRls/f8u/3WG97kqy3t4t/29P\n+5Yx9b+Jj7dlyxOfUr+f0uTejgHbfciVIK0GtXW3JIKDtV7FMaVlLI6dLjbO18l84qPDkNwiWvKy\nNFbHCkffs/e+pzFeNXc4AKC6xmCet5LbWNMEz5oMvrVwpMwlsc+47hokxOrMFxwZg9sB8H47Nn3P\nk/hafic0xPH2q4H18c358kYPuALdUxKwcO0PCA7ybr/wRFSEscIuKEijyHHCW67yITVRRZL9448/\n4q677rJ5v1WrVggKCoJOV3+lHB5uPBhUVIi7SjK9Nn0OADqdDnq93u7ylixZgqVLl0IrMXNOTIz0\nedvLsmrjyefa/m3Ru2sLRDkZoSshIQqhFu3n4uJcNwHRajRISFC+raVcNMHG9UtIiPY6ybZHpwsR\nxSM4OAgJCVGIqIu7daykxFiK6OhwRX4Hna6+3BHh9tfBFSEoyKPvecLeMpzFeESftkhIMH6u1Wp9\nui0HBWnNzRtiYyMCaj+yJtd2DAChYcFuxcLyxJ2YGOXVrfIXZg/Hu9uP4P0vf3dZhpx50ke0jbkk\nPoc4mrezZbobY9O8qmuMtfPx8ZENqmcgKT5ZPg5j5m5FYqxOFNuwUNN5QJ7jcbiHx0bL70wZ3QVN\nE2yPAy2TInGmoAzaIPHxSacLdbk80/k/ITHKZW8kchseH4mrOjRBgkWvTHIeJ7wVEhIUMMdcVSTZ\ngwYNwtGjR+1+NmbMGFRW1nfkb0qmIyPFP7gpEdfr9YiKijL/HREh7rpry5YtePzxx7Fo0SKMGTNG\nchkvXizzeU22vm4Ag9tHdUCVvgqF+iqbaaIjQmAQBBQWluLLH06Y3y8qKnM4zK+lwsJS+QqssOJS\nYzyKLpXKdsHTJE6HC0XGk6heXy2KR01NLQoLS1Feboy76TOtVoO4uEjJMXalrFSvyO+g19eXu8xq\nHaQqqhtS2hfbieUypMS4qLgMYVrjZwaDwafbck2tAUF126AuKLD2IxO5t2MAqKqscSsWYSFB0FcZ\nE8miS2Ve15ZV6qsByPt7XC4RV+g4mre99z2NsWlepsFLii6VATXy9/UeCASDIIptZV2f93Idj8vL\nPT/Gmb4zqldLu/OorXvmq7ZWfHzS66tcLq/ksnG7u3SpFKF+GN0wGMb1UeI44a0jxy+p6pjrLOFX\nRZLtTEpKCvLy8syv8/PzERMTg6ZNxQ9wxMXFITExEfn5+UhKSjJPm5KSYp5m5cqVWL9+PVatWoWB\nA6W3PwOMDzfZaQauqLjIMKyYPdRpB/CP323sR7W2VhA9CGYwCJI6jldL5/JSmJ5RNf5fnnJbtlU2\nCOKYpfdqbYxrXWCtYyU1xs48OjkNbZtHK/I7CHXxqq0V0LVdAromJ7i9HNP0vthO7C3DWYxra+s/\nEwQfb8uCAKEuHwzWagNqP7Imx3ZsUuvGvJ6+dwB2/nIa//3xpLkc3j474Ghf9WqeVvNytj06K5c7\nZbLe7+T8jQJJz5REtEiMFK276UFjuY7HpvOmJ9919p1uyQlo2zwan+05AVgdnwSD6+WZ1tNQC9Rq\n/P/bq2kbrKyuVU1ZXFH9g49jx47F+++/jz/++AOlpaXIyclBRkaG3WYeY8eOxSuvvIKioiIcP34c\nGzduxLhx4wAA/+///T+89dZbeOedd9xOsP3J1cOMcVFhiKsbNj2Qnrj1iALr5yxmvWQcWMKRTlfE\n+6Tf7DZNozB3Uqriy6HGzZ2aruYJEaJtPxC6Qux8he2AVT4RALFRwoO39MTE9A6uJ/SCUpF9aFIq\nbh6e4npCB0z7RiP96RsM1SfZ6enpmD59OjIzMzFixAhER0fjkUceMX+elpaG3NxcAMDs2bPRrl07\njB49GpMnT8bEiRMxevRoAMDatWtRVlaGCRMmIC0tzfzvzz//9Mt6KYH7IlmyfmDLo3lwoyI3uL29\nBMD2ZVm7fvs1HRVZxgt2+l+3FABhIpkFwkUnuab65iIAMHXqVEydOtXuZ/v27TP/rdPpsHTpUixd\nutRmuv/+97+KlU8tGvxOqcDdoYbYtZ1JxsB2SO2Q5NU8QoNVfB1u8duxmyv/W3RnHyT6qDs3X3J1\niGiWEIFzhfYHSPNWQz+keyIhugFsYxJ+V9PzCdwGAltAJNkkDXdG9yz5Z1+EhwVh/qt7bT6LCq9v\nphOoYQ0PC8aVrb27vR2hC7EZal5tHprYEzEy9lFLnkn2YOhvuS9UlK5osJdw++RCNFAPQgoYP7w9\nRg+4Qrb5eVrPokQPV5ZMs+fFfGBjkt2ANPhdUeYVbFvX2b9ZA67V9oYvhpr/5+jObk3fu1MTxNcN\n1tHND0PGC+BgOI2GD253WY64+Mb8+u4FTQlWgz+2uyE4SItoJ93ZNhTmC0b++GbhYcGoqAysXnZU\nfC+Y3NWns/0hc4nULDEmDMN6tnQ9oYUZN3VHqI/7jiX5BcLdN8sU215x5ViFyAY+Wi+5z9xcxM/l\nUJOXHhjseiKVYZLdgAy4StrolQGLFYcNUqD+rLyN2zi0bhqFjq1jHX4eomRzEVNlZiBcjQQoTyPr\nzU/izrGDv329kLr+wscMauffgriBzUUakAhdw/45lR7W1VGyFxPV8G9NEvmD3C0xendsIvtDiDER\noZh/R2/c/ew3dj+fOb47yvTy3MIe2au16DXTq8ZLRaOYq07zhAjXE6lEw87KGpkmceF4aFJPZL+/\nX9L0gdazRlR4CJ6a3t/ny+3fpRm6tkvw+XJJxQJs31Erudu1t24ahXvHdpV1npbslTY2KgyxdWMV\neGtQ9wZ+N1KFPN8CpWfBnmznrMG2b8XsoQgPC5zUNXBKSpJYPkDTELVIjFRs3o4OaRqNplE8aOMv\nPJU0YrxYcUrDAUmIRFwN0Kc2bJPdwHRoFYt5t/f2dzECEs/35BYmPrJZdl9gjMLLn5xMvLnwOXm+\nxOU0irb1J5/hr9jABAdpMdyqXZ8j7IJMrFWScrXkRGTLdARKig33azmo8fLHhdORv4pcThMcpBV1\n50iBiUl2I8beEeqltIpBeq9W/i4GUePC63wKUDx7khRsk02N3pRrO6JVkyg+aOIHD9+WhsgG3isO\nOda5bTx+/uOCv4tBjRiv80hJPLs1YmwuYnS1VfOatCuTkBCt81NpGpcubeP9XQSPcM+RR4+URPRI\nCYz22L7gqMcnXv6rS3x0GAcQIkmYZBNZeeDmHv4uAhERqdQT9/Rnjy8kCdtkExG5oWtyAvp0auLv\nYhCRn0ToggOqr2byH24ljRnveRO5be6kVADA/j8v+rkk1NCwCV/jcEXTKH8XgXyESTYRkQd4t5iI\npNBatC3JeXAowsMa9qBxVI9JNhEREZEClt7dDzqLpDoqnA9MNiZMsomIiNSArUUanNZsGtKoMckm\nIvLAla3jcLm8yt/FICIilWKSTUTkgdtGXYnbRl3p72JQo8AnAIgCEbvwIyIiUgG2FiFqWJhkN2I8\noBMRSdMzJRFJseF+WXZIME/VRIGIzUWIiIhcePCWnn5Z7hvz0/2yXCLyHi+PiYiI1IC3F4kaFCbZ\njVhiTJi/i0BERETUIDHJbsSCgvjzExERESmBWRYREZEKCGwv4nMdWsYgPIyPp5EyAiLJfvPNNzF0\n6FD06tUL8+bNQ3l5ud3pqqqq8K9//Qv9+vXDoEGDsHr1arvTbd68Gf3791eyyIGBx3MiImrEurRL\nwMo5w/xdDGqgVJ9k79ixA+vWrcP69euxc+dOFBcXY9myZXanffHFF3HmzBl8/fXXeOedd7Bp0yZ8\n/vnnomlOnjyJZ5991hdFVz3WmhAREREpQ/VJ9tatWzFhwgQkJycjOjoaDz74ILZu3Yra2lq702Zm\nZiI6Ohrt2rXDHXfcgY8++sj8eW1tLR555BFMmjTJl6tARETkksB6D6IGRRUNkWpqauw2AdFqtcjL\ny8M111xjfi85ORnl5eU4d+4cWrZsaX6/uLgYFy9eRIcOHUTTvv322+bXa9euxZVXXolhw4Zh8+bN\nbpVRo9FAq/pLEkCr1Yj+75wGQUEcrtdd7sWYPMEYK48xVp67MQ4K4jHZXdyOlcX4ekcVSfaPP/6I\nu+66y+b9Vq1aISgoCDqdzvxeeLhxxK2KigrRtKbXps8BQKfTQa/XAwAOHjyIjz/+GJs3b8bBgwfd\nLmNiYiQ0msDZyOLiIl1Oo9VqkJAQ5YPSNExSYkzeYYyVxxgrT2qMo6PDeUz2ELdjZTG+nlFFkj1o\n0CAcPXrU7mdjxoxBZWWl+bUpmY6MFP/gpkRcr9cjKirK/HdERAT0ej3mz5+PJ5980uZ7Ul28WBYw\nNdlxcZEoKiqDweD83qPBYEBhYamPStZwuBNj8gxjrDzGWHnuxvjy5XIUFnL8AndwO1YW4+uaswtj\nVSTZzqSkpCAvL8/8Oj8/HzExMWjatKlouri4OCQmJiI/Px9JSUnmaVNSUnDw4EGcPHkSmZmZAIxt\nsysqKtCnTx98/PHHomYnjgiCADvNwFXLYBBQW+t8hxAEuJyGHJMSY/IOY6w8xlh5UmNsMPCY7Clu\nx8pifD2j+rrZsWPH4v3338cff/yB0tJS5OTkICMjA1o71cpjx47FK6+8gqKiIhw/fhwbN27EuHHj\n0KdPH+zfvx+5ubnIzc3FmjVrEBsbi9zcXEkJNhERERGRO1SfZKenp2P69OnIzMzEiBEjEB0djUce\necT8eVpaGnJzcwEAs2fPRrt27TB69GhMnjwZEydOxOjRo/1VdCIiIskEdi9C1KBoBO7Vkly4UOLv\nIkgSFGR8mLGwsNTprZ0Df15EVHgI2reM8WHpGgapMSbPMcbKY4yV506M7372Gzw6OQ2droj3Ueka\nBm7HymJ8XWvSJNrhZ6pvk03K6JGS6O8iEBERETVYqm8uQkREREQUaJhkExERERHJjEk2ERGRn82d\nlIor28T5uxhEJCO2ySYiIvKzrskJ/i4CEcmMNdlERERERDJjkk1EREREJDMm2UREREREMmOSTURE\nREQkMybZREREREQyY5JNRERERCQzJtlERERERDLTCIIg+LsQREREREQNCWuyiYiIiIhkxiSbiIiI\niEhmTLKJiIiIiGTGJJuIiIiISGZMsomIiIiIZMYkm4iIiIhIZkyyiYiIiIhkxiSbiIiIiEhmTLID\nxIEDBzBkyBDz65MnT2LatGno06cPrr32Wnz00Ufmz2pqavDkk09i8ODB6N+/P2bNmoXCwkLz52+9\n9RbS09PRp08fPPDAAygoKPDpuqiVOzEuLy/HkiVLMHDgQAwePBjPP/88ampqAACCIODll1/GkCFD\nkJaWhilTpuCPP/7w+fqokVwxXrx4MdLS0sz/UlNT0alTJ3zyySc+Xye1yM3NxS233ILevXtj1KhR\neO+99wAAxcXFmDFjBnr37o0RI0Zg06ZN5u8IgoDly5djwIAB6Nu3L5588knU1tbazPvNN9/ErFmz\nfLYuaqVEjDMzM9GjRw/R9txYKRFfnu/EPImxicFgwMyZM7Fx40bzezzfuSCQqhkMBmHTpk1C7969\nhX79+gmCIAg1NTVCRkaGMH/+fKG8vFzIy8sTrr76auHbb78VBEEQ1q9fL9x6661CcXGxUFZWJtx/\n//3C/PnzBUEQhM8++0zo27ev8PPPPwtVVVXCSy+9JEyYMMFv66cGnsR4yZIlwk033SSl8wAUAAAg\nAElEQVT8/fffQnFxsXDPPfcIzz33nCAIgvDBBx8Io0ePFs6ePSvU1tYKL730knDjjTf6bf3UQO4Y\nW3vppZeEO+64Q6iqqvLZOqlJUVGR0LdvX+Hjjz8WamtrhYMHDwp9+/YVvv/+e+GBBx4Q5s2bJ+j1\nemH//v1Cv379hH379gmCIAgbNmwQMjIyhHPnzgnnz58XbrrpJmHt2rXm+ZaVlQnPPfec0KlTJ+GB\nBx7w1+qpglIxHjJkiHDgwAF/rZZqKBFfnu/EPI2xIAjCqVOnhOnTpwsdO3YUNmzYYH6f5zvnWJOt\ncmvWrMH69euRlZVlfu/48eM4duwYFi1ahPDwcCQnJ+O2227D5s2bzZ8bDAbz1bxWq4VOpwMAbN++\nHRMnTkRaWhpCQkLwwAMP4NixYzh69KjvV04lPInx9u3bMXv2bDRv3hwxMTGYNWsWPvzwQwiCgAkT\nJmDz5s1o1qwZysvLUVJSgvj4eH+tnirIHWNLBw8exIYNG7Bs2TKEhIT4dL3U4syZMxg+fDjGjBkD\nrVaLrl27on///vj555/x1VdfYdasWQgLC0OPHj2QkZGBLVu2AAC2bt2KO++8E02bNkWTJk2QmZkp\nupswc+ZMnDhxApMmTfLXqqmGEjG+ePEiCgsL0bFjR3+umiooEV+e78Q8jXFVVRXGjx+Pjh072txp\n4fnOOSbZKnfzzTdj69at6N69u/m92tpaBAUFITQ01PyeVqvF8ePHAQATJ07E6dOnMWDAAPTu3Rsn\nTpzA3LlzARhv95gSbgDQaDTQaDQ4ceKEb1ZIhTyJcW1tLcLDw82faTQaXLp0CcXFxdBoNIiIiMCH\nH36IPn36YMuWLZg9e7bP1keN5I6xpWeeeQb33nsvWrRooexKqFiXLl3w/PPPm18XFxcjNzcXABAc\nHIw2bdqYP0tOTkZeXh4AIC8vDx06dBB9lp+fb76QeeaZZ7By5UokJSX5YjVUTYkYHzp0CJGRkcjM\nzMSAAQNw6623Yt++fT5aI3VRIr4834l5GuPg4GB8+umnmDdvnk1FBs93zjHJVrmmTZtCo9GI3mvf\nvj1atWqF5cuXQ6/XIz8/Hx988AGqqqoAGK8609PTsWvXLuzevRstW7bE4sWLAQDp6en44IMPcOTI\nEVRVVWHlypXQ6/WorKz0+bqphScxTk9Px4oVK1BQUIDi4mKsXr0aAERxzMjIwIEDB3Dfffdh2rRp\nKCoq8t1KqYxSMf7f//6HY8eO4fbbb/fdyqhcSUkJsrKyzLVUlkkGAOh0Ouj1egBARUWF6PPw8HAY\nDAbzb9CsWTPfFTyAyBXjyspKpKamYuHChfjuu+8wduxYTJ8+HRcuXPDp+qiNXPHl+c4xd2Ks1WrR\npEkTp/Pj+c4+JtkBKDg4GKtWrcKRI0cwfPhwLFy4EGPGjEF0dDQAYMGCBRg9ejSaNm2K+Ph4zJ8/\nH59//jlKS0tx44034o477sD999+PkSNHora2FikpKYiJifHzWqmLqxgvXLgQLVu2xNixY3Hrrbdi\nxIgRACCKY2hoKEJDQ3HPPfcgKioKP/74oz9WRbXkiPGHH36IsWPHIjIy0h+roDonT57ErbfeitjY\nWKxYsQIRERE2CYVer0dERAQA44nU8vOKigoEBwcjLCzMp+UOJHLGeNSoUVi7di2uvPJKhIaGYvLk\nyWjRogV++OEHn66TmsgZX57v7HM3xlLwfGcfk+wAZDAYUF5ejtdffx0//PAD3nnnHej1elx11VUA\njO2uTDVRABAUFASNRgOtVovz58/jhhtuwDfffINdu3bhrrvuwokTJ9ClSxd/rY4quYrx+fPn8eij\nj2L37t3Ytm0bmjdvjnbt2iE8PBw5OTl48cUXzfMSBAFVVVXm5JGMvImxyY4dOzB69Gh/rYKq/Pbb\nb5g4cSKGDBmCVatWQafToW3btqiursaZM2fM0+Xn55tvr6ekpCA/P1/0Wfv27X1e9kAhd4y/+OIL\nfP7556JlVFZWNtqLHLnjy/OdLU9i7AzPd84xyQ5AWq0WDz30ED744AMYDAb8+OOP2LRpEyZOnAgA\nGDFiBHJyclBYWIjS0lIsX74cI0aMQEREBHbv3o3MzEzzZ6au/po2berntVIXVzF+/fXX8dRTT6Gq\nqgqnTp3C8uXLcdtttwEAevbsiXfffdd8i3LFihWIiopCr169/LlKquNNjAFjbczly5fRrVs3f62C\nahQUFGDatGm46667sGDBAmi1xkN7VFQURo4cieXLl6OiogIHDhzAp59+ijFjxgAAxo4di3Xr1uHs\n2bMoKCjAq6++inHjxvlzVVRLiRiXl5fjqaeewrFjx1BdXY3XX38der0egwcP9tt6+osS8eX5TszT\nGDvD850LfuzZhNywd+9ec9dngiAIBw4cEMaPHy+kpqYKN9xwg7B9+3bzZ8XFxcKCBQuEgQMHCgMG\nDBAefvhh4dKlS4IgGLtSe/bZZ4X+/fsLffv2FebNmydcvnzZ5+ujRu7EuLCwUMjKyhJ69+4tDBky\nRFi5cqVgMBjMn7/77rtCenq60LdvX+Hee+8VTp486dN1USs5Y7xnzx5h0KBBPi2/Wq1evVro2LGj\nkJqaKvqXnZ0tXLp0SZg1a5bQt29fYfjw4cKmTZvM36upqRGys7OFwYMHC/369ROeeOIJoaamxmb+\nOTk5jb4LP6VivGbNGmH48OFCz549hdtuu004cuSIP1bP75SIL893Yp7G2NIdd9wh6sJPEHi+c0Yj\nCFb9YRERERERkVfYXISIiIiISGZMsomIiIiIZMYkm4iIiIhIZkyyiYiIiIhkxiSbiIiIiEhmTLKJ\niIiIiGTGJJuIiIiISGZMsomIiIiIZMYkm4iIiIhIZkyyiYiIiIhkxiSbiIiIiEhmTLKJiIiIiGTG\nJJuIiIiISGZMsomIiIiIZMYkm4iIiIhIZkyyiYiIiIhkxiSbiIiIiEhmTLKJiIiIiGTGJJuIiIiI\nSGZMsomIAsiUKVPQqVMn0b9u3bph2LBhWLhwIYqLi2VZzqlTp9CpUyd89913Dqd55ZVXMHjwYFmW\np+Q8iYj8IdjfBSAiIvcMGjQIDz74oPm1Xq/HgQMHsHLlShQXF2PFihVeL6Np06Z4//33kZKS4vW8\niIgaIybZREQBJi4uDqmpqaL3BgwYgLKyMrz66qsoKytDZGSkV8sIDQ21WQYREUnH5iJERA1EVFQU\nAEAQBADAjh07cOONN6J79+4YOXIk3n77bdH0+/btw6233oq0tDQMGDAAjz76KC5dugTAfnORTZs2\nYdSoUejZsyfmzp0LvV4vml+nTp3w7rvvit6bOHEi5s+fb3597NgxzJgxA/369UO3bt1w3XXXYdOm\nTQ7XyVkZiYjUjEk2EVGAEQQBNTU15n8lJSXYuXMn/vOf/2DYsGGIiorCd999h/vvvx9XXXUVVq1a\nhZtuuglPPfWUOdEuKSlBVlYWWrVqhVWrVmHRokX4/vvv8fjjj9td5ueff45FixbhmmuuwSuvvAIA\nePPNN90qd2lpKaZOnYrKykq88MILWLVqFdq3b49FixYhPz/fZnp3y0hEpCZsLkJEFGC2bduGbdu2\nid6LjIzEddddZ641zsnJwaBBg/D0008DAIYOHYqamhq88sormDhxIv78808UFRXhjjvuQFpaGgBj\nTXheXp7dZb722mu49tpr8eijjwIAhg0bht9//x2FhYWSy52fn4/k5GS8+OKLiI6OBgD07NkT/fr1\nw88//4zk5GTR9O6WkYhITZhkExEFmCFDhmD27NkQBAG//vorli1bhvHjx2PhwoXQaDQoLy/HwYMH\nsWDBAtTU1Ii+t3r1avzxxx/o0KED4uLicN999yEjIwPp6ekYPHgwhg8fbrO8iooKHD58GLfffrvo\n/VGjRuGDDz6QXO7u3bvj7bffRlVVFY4ePYrjx4/jwIEDAIDq6mqb6d0pIxGR2jDJJiIKMDExMeje\nvTsAoEePHoiMjMSjjz6KJk2aIDMzE5cvX4YgCHj66afNNdmWLly4gKuuugobNmzAihUrsHnzZmzY\nsAGJiYmYO3cubr75ZtH0pvnFx8eL3k9KSnK77CtWrMC6detQUVGBNm3aoF+/fgDq25FbioqKklxG\nIiK1YZJNRBTgbrzxRmzduhUrVqzA9ddfj8TERADAQw89hEGDBtlM37ZtWwBAx44dkZOTg6qqKuzZ\nswfr1q3Dv//9b5t+qmNjY6HRaGyahhQVFdnM22AwiF6Xl5eb/96yZQtWrVqFp556Ctdeey0iIyOh\n1+uxefNmh+vmrIzNmzd3ERkiIv/hg49ERA2AqWnI8uXLERUVhY4dO+L06dPo3r27+V9hYSFeeeUV\nVFZWYs+ePRg4cCAKCwsRGhqK4cOHY+7cuTAYDDh//rxo3jqdDt27d8f27dtF7+/atUv0OiIiAmfP\nnjW/LiwsxPHjx82v9+3bh3bt2uGmm24ydzH4/fffA7BNzgG4VUYiIrVhTTYRUQPQsWNH3Hjjjfjw\nww+xb98+zJw5E3PmzEFkZCSGDRuGU6dO4YUXXkDXrl3RpEkT6HQ6aDQazJo1C9OnTwcArF27Fq1b\nt0aXLl1w7tw50fxnzpyJzMxMPP7440hPT8d///tfHDp0yPwAI2B8uPKDDz5Ap06dEBkZiVWrVon6\n6+7WrRvef/99rF27FqmpqTh06BBWrFgBjUaDiooKm3Xq1q2b0zISEakZa7KJiBqI2bNnQ6fTYdmy\nZbjuuuuQnZ2N3bt3Y/r06cjJycE//vEP5OTkAACio6Px2muvITg4GHPnzsXs2bMRGRmJdevWISQk\nxGbew4cPR3Z2Nvbu3YsZM2bg3LlzyMzMFE2zcOFCpKWlYeHChViyZAkyMjIwdOhQ8+c333wz7rrr\nLrz11lvIzMzERx99hH/9618YMGAA9u/fb7NMd8tIRKQmGsHe0yZEREREROQx1mQTEREREcmMSTYR\nERERkcyYZBMRERERyYxJNhERERGRzJhkExERERHJjP1kS3ThQom/iyCJRqNBYmIkLl4ssztMMXmP\nMVYeY6w8xlh5jLHyGGNlMb6uNWkS7fAz1mQ3MFqtcafQ8pdVDGOsPMZYeYyx8hhj5THGymJ8vcOw\nERERERHJjEk2EREREZHMmGQTEREREcmMSTYRERERkcyYZBMRERERyYxJNhERERGRzJhkExF54N2v\n/sC8Vd/7uxhERKRSTLKJiDzwx6kiFF6u9HcxiIhIpZhkExERERHJjEk2EREREZHMmGQTEREREcmM\nSTYRERERkcxUk2QfOnQIEyZMQGpqKsaNG4dffvnF7nSffvopRo4cidTUVGRmZqKgoAAA8PHHHyMt\nLU30r3Pnzli0aBEA4Ndff0WXLl1En69Zs8Zn60dEREREjYcqkuzKykpkZWVh/Pjx+OmnnzBlyhTc\nd999KCsrE0135MgRLFmyBNnZ2di7dy+SkpKwYMECAMDYsWOxb98+87+VK1ciKSkJM2bMAAAcPnwY\nw4YNE02TlZXl83UlIiIiooZPFUn23r17odVqMXnyZISEhGDChAlISkrCzp07RdN98sknGDlyJHr2\n7AmdTod58+Zh165d5tpsk7KyMsyfPx+PPfYYmjdvDsBYU965c2efrRMRNWwajb9LQEREahbs7wIA\nQH5+PlJSUkTvJScnIy8vT/ReXl4e0tLSzK/j4+MRGxuL/Px8JCUlmd9//fXX0bFjR4waNcr83uHD\nhxEaGor09HQYDAaMHj0ac+bMQWhoqKQyajQaaFVxSeKcVqsR/Z/kxxgrLzBibCxbUJCay+hYYMQ4\nsDHGymOMlcX4ekcVSXZ5eTnCw8NF7+l0Ouj1etF7FRUV0Ol0ovfCw8NRUVFhfl1WVoaNGzfitdde\nE00XHx+P/v37Y9KkSbh48SIefPBB5OTkYN68eZLKmJgYCU0AVV3FxUX6uwgNHmOsPDXHODjYeNWd\nkBDl55J4R80xbigYY+UxxspifD2jiiQ7PDzcJqHW6/WIiIgQveco8bac7quvvkLLli2Rmpoqms7y\nIceIiAhkZmYiOztbcpJ98WJZwNRkx8VFoqioDAaD4O/iNEiMsfICIcY1NQYAQGFhqZ9L4plAiHGg\nY4yVxxgri/F1zVlFiyqS7Pbt22Pjxo2i9/Lz85GRkSF6LyUlBfn5+ebXhYWFKC4uFjU12bFjB0aP\nHi36XnFxMdasWYMZM2YgKsoYjMrKSoSFhUkuoyAIqK2VPLnfGQwCamu5QyiJMVaemmMsCMZyqbV8\nUqk5xg0FY6w8xlhZjK9nVFE3O3DgQFRVVWHDhg2orq7G5s2bUVBQgCFDhoimy8jIwPbt25Gbm4vK\nykpkZ2dj2LBhiI+PN0+zf/9+m1rs6OhofPnll1ixYgWqq6tx4sQJrFmzBuPHj/fJ+hERERFR46KK\nJDs0NBSvvfYaPvvsM/Tr1w8bN27E6tWrERERgcWLF2Px4sUAgC5duuCJJ57AwoULMXDgQJw/fx7P\nPPOMeT61tbX4+++/0aRJE9H8tVot1qxZgyNHjmDAgAGYPHkyrr/+etx5550+XU8iIiIiahw0gume\nJzl14UKJv4sgSVCQBgkJUSgsLOWtHYUwxsoLhBgvffMnHD9bgjfmp/u7KB4JhBgHOsZYeYyxshhf\n15o0iXb4mSpqsomIAk0AdTZERER+wCSbiIiIiEhmTLKJiIiIiGTGJJuIiIiISGZMsomIiIiIZMYk\nm4iIiIhIZkyyiYiIiIhkxiSbiIiIiEhmTLKJiIiIiGTGJJuIiIiISGZMsomIiIiIZMYkm4iIiIhI\nZkyyiYiIiIhkxiSbiPyqusaA80UV/i4GERGRrJhkE5FffbbnOOav2ePvYhAREcmKSTYR+VW5vsbf\nRfCQxt8FICIiFWOSTUREREQkMybZREREREQyY5JNRERERCQzJtlERB4R/F0AIiJSMSbZREREREQy\nY5JNRERERCQzJtlERERERDJTTZJ96NAhTJgwAampqRg3bhx++eUXu9N9+umnGDlyJFJTU5GZmYmC\nggLzZ+vWrUO3bt2QlpZm/pebmwsAKC4uxowZM9C7d2+MGDECmzZt8sl6EVFDxX6yiYjIMVUk2ZWV\nlcjKysL48ePx008/YcqUKbjvvvtQVlYmmu7IkSNYsmQJsrOzsXfvXiQlJWHBggXmzw8dOoQ5c+Zg\n37595n99+vQBACxatAgRERHYvXs3cnJy8MILLzhM5ImIiIiIvKGKJHvv3r3QarWYPHkyQkJCMGHC\nBCQlJWHnzp2i6T755BOMHDkSPXv2hE6nw7x587Br1y5zbfbhw4fRpUsXm/mXlZXhq6++wqxZsxAW\nFoYePXogIyMDW7Zs8cn6EREREVHjEuzvAgBAfn4+UlJSRO8lJycjLy9P9F5eXh7S0tLMr+Pj4xEb\nG4v8/HxERkYiPz8f69evx8MPP4yYmBjcc889mDBhAk6cOIHg4GC0adNGNP/t27dLLqNGo4FWFZck\nzmm1GtH/SX6Msbw0dftVUFB9PAMhxpq6olmWO5AEQowDHWOsPMZYWYyvd1SRZJeXlyM8PFz0nk6n\ng16vF71XUVEBnU4nei88PBwVFRUoKChA7969cdtttyEnJwcHDhxAVlYWmjRpgsjISJvv2Zu/M4mJ\nkdBoAmcji4uL9HcRGjzGWB7hulAAQEJClM1nao5xcLDx6sBeuQOJmmPcUDDGymOMlcX4ekYVSXZ4\neLhNwqvX6xERESF6z1HiHRERgTZt2mDjxo3m9/v06YNx48bh66+/xqRJk1BZWely/s5cvFgWMDXZ\ncXGRKCoqg8HAwTKUwBjLq0JfBQAoLCw1vxcIMa6pMQAQlzuQBEKMAx1jrDzGWFmMr2vOKlpUkWS3\nb99elCADxiYkGRkZovdSUlKQn59vfl1YWIji4mKkpKTgt99+w/fff497773X/HllZSV0Oh3atm2L\n6upqnDlzBi1btjTPv0OHDpLLKAgCams9WTv/MBgE1NZyh1ASYywPwZir2o2lmmMs1BVLreWTSs0x\nbigYY+UxxspifD2jirrZgQMHoqqqChs2bEB1dTU2b96MgoICDBkyRDRdRkYGtm/fjtzcXFRWViI7\nOxvDhg1DfHw8IiIisGLFCnzxxRcwGAzYs2cPPvvsM9x0002IiorCyJEjsXz5clRUVODAgQP49NNP\nMWbMGD+tMREFugBqPUZERH6giiQ7NDQUr732Gj777DP069cPGzduxOrVqxEREYHFixdj8eLFAIAu\nXbrgiSeewMKFCzFw4ECcP38ezzzzDADjg4wvvfQSVq5ciV69euGxxx7DM888g65duwIAnnjiCdTU\n1GD48OGYNWsWHn74YfTs2dNv60xEgU1gpQ4RETmhiuYiANC5c2e89957Nu8vXbpU9PqGG27ADTfc\nYHce6enpSE9Pt/tZXFwcXn75Ze8LSkRERETkgipqsomIiIiIGhIm2UTkX3Vtmz/45ph/y0FERCQj\nJtlEpAp7Dp31dxGIiIhkwySbiPyr7gFCPkhIREQNCZNs8oujf13CibMl/i4GqQmzbCK/eOfL3/Ha\nJ7/5uxhEDQ6TbPKL597Zh5c373c53bFTxaipNfigRORvgTaYGPvJpkB34M+LuPvZb7Dr17+x57dz\n/i4OUYPDJJtU7emN/8NPR877uxhERA3OyfO8m0ikJCbZpHocyrWBq6sRFthchChgnCko4z5L5AKT\nbCIiIg/pq2pwuazK38Xwiictn/79+g/I+/uy7GVpaMr01SjXV/u7GOQnTLKJGqjCy3roq2r8XQzJ\nAq1NNivxCADWbP0Ns1/5P38Xwy9qahrG8zInz5fCoNAB6LE3fsTjb/6kyLxJ/Zhkk+oJYDbjiXmr\ndmP9F0f9XQzXBJs/iAJGUUmlv4ugWsfPXsaqj371dzFcWvLGj8g9qsyzPxcvV6KgWK/IvEn9mGRT\nwNmyKw8FxRX+LoaqXSgyxqekInBuUwZaTTYROfe/oxeQe/SCv4shSbWStfIBdGw7db4Udz/7jb+L\n0WAwyaaA8/H3x/HDIXY35cjpgjI8umaPv4vhvgA6EQHswo8oEDy1Phf5bDsuWSHvzMiKSTZRA1Nd\nU2v+OyDywIAoJBG5Sw0Xon+euYxDxwv9XQxqpJhkEzUwGmatRCSBpi4LVkMy7G98kJmUwCS7ATj6\n1yW8vMn16IlqI/mYJnHC4rIq1lgEsMb0gOu053ZwJFMiHxEEYz/85y+VO5zmjc8Pc2h5kh2T7Abg\nf0cvYP+fF/1dDL/b/O0xvPDeL/4uhroEUg1V48mxYRAEVFUzyTZ5eNX32LIrz9/F8MrajxtfglZS\n7urBau8PQLsP/g1DXTVzRaXnXZL+frII81/d63SaAzyPksyYZDcAjSg3oYao0W7AjXbFbVy8XInf\nTxb5uxhe2duIHsauNRgvEFdtOYijf11SdFmvf3oYl8uqcKGoAjNe/M7j+eiral1PJIO/ztkOVe/N\nnn70r0tY/8URL+ZA/sQkmxoMtkUmoobst3x1NIebvuxb89+lFeLa5d9PFmHbDydkbQ4lCN7VYvtK\nrcGAx/4j78Az3+0/g29/OWPz/t3PfhNQg401VkyySfVY3+eeVVvUP/iDSN21USD9zhwmmfxh+fu/\nyJq8ylMtId5zP/4+H5t2/Il7n/9WlrmTYzW1gXTUbJwkJ9nV1dXYsGEDTp06BQDIzs7GqFGjMHv2\nbBQVBfZtPqKG5EJR/ehijbV2//SFUkXnP/OlXcg/w753qaFQ5jjROI8+xocsiQA3kuznnnsOr776\nKkpKSvD111/jjTfewMSJE1FQUIAnnnhCyTISUQO16dtj+CrXeOEu53lp0bofUVJeJd8M7eBp1GjG\nizvxwTfHvJ6Pxof9yH2ZexJ/nGLlkBJZsOV+rKauAZUuy7FTxeZ199Wx4WKxHlXVyrQ156iP8pCc\nZG/btg05OTno0qULtm3bhkGDBuHee+/F4sWLsXPnTiXLSK7wbA8A+L9f//Z3EWx8svs4u2pzYtve\nvyxeybshc5h236iorMUXP/7lekIJHl61G7v227Y/ldu7X/2BLbvyFV+O6knYRy4W651+7qtKW7VX\nDj+98X84cbbuoUcflfXxN3/C5p1/yjxX5Qp/4mwJtu09odj81Uhykl1eXo5mzZrBYDBg165dGD58\nOAAgKCgIWq33TbsPHTqECRMmIDU1FePGjcMvv9jviu3TTz/FyJEjkZqaiszMTBQUFJg/y83NxS23\n3ILevXtj1KhReO+998yf/frrr+jSpQvS0tLM/9asWeN1uYmc+ei7PJy/VOHvYnjkpyPn8b+j5/1d\nDI8Vl3J44EBz8bIeRxTurYLc8/Dq3QH/DIKvHpo0dTXoyz7/y/WB8/Djf3/8C5u+le+ioFxfrfoa\nd8nZcdeuXbF69WpkZ2ejpKQEI0eOxOnTp/H8888jLS3Nq0JUVlYiKysL48ePx08//YQpU6bgvvvu\nQ1lZmWi6I0eOYMmSJcjOzsbevXuRlJSEBQsWAACKi4tx//33Y+rUqfjpp5/w8ssvIzs7G7t37wYA\nHD58GMOGDcO+ffvM/7KysrwqNzn22/FCPLUh19/FaPS8uUW6estBrNkauH3/yv2UPzUsh09cwvvf\n/OHvYvjN/mMFkhOeWj/cFtr+41/Ik+m5h1MXylxPJANzcxEfhkv+VjAKtquReda+6pbRG5KT7CVL\nluDgwYN47733MG/ePDRv3hxvvfUWLly4gEWLFnlViL1790Kr1WLy5MkICQnBhAkTkJSUZNMM5ZNP\nPsHIkSPRs2dP6HQ6zJs3D7t27UJBQQHOnDmD4cOHY8yYMdBqtejatSv69++Pn3/+GYCxprxz585e\nlbMhqaisUawtFwAcOHYRf56W5wDp6iGSu5/9pv42nczOXSrHpRL5akTLAqxGyJcni5paAX+eLpZ1\nnoFeA+eOZe/8rPpaHWl815D3vz+e9Pi7BcUVisW7usaAbT+Ib6vLeRwCgO8tmqZSAmcAACAASURB\nVNe5irgv28ubvPfNMXy6+zgA7x8kNBbfuA5nCpRPuGtrBRmfCVFRw3YvNZw1kS5Y6oR//vkn3nrr\nLcTGxprfmzdvHkJDQ70uRH5+PlJSUkTvJScnIy9PPAJYXl6eqNY8Pj4esbGxyM/PR9++ffH888+b\nPysuLkZubi7GjRsHwFiTHRoaivT0dBgMBowePRpz5syRXH6NRgMZWsUo4uufjQ+OBQVpoNUaN2PT\n/x15eNVutG8Vg4dv8+4uhCOaulgFBTkuh8bF5yZarcZmOo1G/N7jb9bXWkqZp1QLXt2LFokReDZr\noKg8lv93JSiovqwPvLQLy+4biGYJEbKV0RmNxvt4yBlPV57a8D+8tXCk2zF2ZO0nhzD31lQ5iuaQ\np/HRBtlu19448leRW+WRK8Ym3q6LKY/b89tZtEiKwLghyR7PK//vy2gSG46oiBCX03pa7tKKugs4\ni69bz8vTGJ84V4ZNO/5ExqB25vdyNh8wL0OO7UaUONf96Wi+Wq2Tz6zKYzlb03p7Wl6NRbm0Ds4p\nUmKs0cD8/X+//gPeWjjSwYTebcemZXyy5zg+33NCtByPY2BnvSstanA1ds6P3rDMc9zJKaQwbXPu\nlPdCUQWCg7SIjw6z+cw0H1+eo9wlOclevHgx3n33XVGSLUeCDRjbe4eHh4ve0+l00OvFD1xUVFRA\np9OJ3gsPD0dFhbjNa0lJCbKystC1a1ekp6cDMCbk/fv3x6RJk3Dx4kU8+OCDyMnJwbx58ySVMTEx\n0i9X8+5ISIgy/x0XF+l02vLKGpwv0ou+IyedLsSmTNa0Wo2k5UdGhtlMFxER6vC7cqxTub4aoSFB\nAIDqWsHuPF3F2CQ2NkL0/VCd47LLLSQkWNKy7l/2DbLGd0ePDk3EH2jkiac73NmOXXH028nJ0/nH\nx0chKrw+CRwzdyvuHtMVN43o4NPyeBtjT5drLTSk/nT005ELuGtsd4/ndedTX2NYais8PKWPy2k9\nLff5EmNNZXBQkMt5uRvjgtJqm/kZ6tr5JiREIThIWo1PrUEABAFBdqYPDa2Pt+nc5qz8sVG2SQ4A\nREXqRN8LDq6Px866QVQ8jbGpjHFxkUBwsMsyOhISEozo6Pocw9E8tBqt5LKWVVTj1n9/jk+Wj8Oe\nursCpmWU1rWTtpyXpzEIC7Vd7xN/198lDguTdoyXKjq6vqZfzmMxAISGOf8N7bnzqa/RLCECry+8\nxuYzgzbI7fn5muQku1u3bvjuu+9sapzlEB4ebpNQ6/V6RESIa/scJd6W0508eRJZWVlo06YNXnrp\nJfNDmZYPOUZERCAzMxPZ2dmSk+yLF8tUW5NtUlhYCq1Wg7i4SBQVlcHgoh2dodaAwkJl+hPW192m\nt5z/ucJyBAdpkRhrvFAyGARJyy8trbSZrry8yuF35VinO5/62vy3wSCOkzsxBoDi4nJEhtRfoF2+\nXIHCQsm7nleqq2skxePkuRLsPXAGrRPEF7tSfyM5ubsdO1NdU6t4+T2d/6XCUlSFi2ta3/jkN3z1\nwwk8Mb2/IuXZ8fMp7PntHP41pbdsMZayXEnfv1xfWVIrw7GpXG97jLhQVIEmceJt3NPlXK4rb01t\nfa2i9bw8jbFp3pbzq63rpaiwsFRykv3ypv04W1iBZzIH2HxWZTlaYF1zDEexKCoqQ22V/aZXJaUV\nKLhYAm1dol5TUx8PUxMXT2NsKuOlojKUltueUwBpMa6urkFJSf325ag8BkH6dldQXP8b7cg19q5j\n+t0qKmzL6mkMKutiYPn9S0X1iXBlpbRjvFTWcZLzOFFlZ12kKNdX2/1O0WVjPrjv0N9YvO5Hx3co\nFOYsyZd8pg8NDcVzzz2HlStXonXr1jY1ypY9ebirffv22Lhxo+i9/Px8ZGRkiN5LSUlBfn59t0uF\nhYUoLi42J/6//fYbpk2bhrFjx+LRRx81J9jFxcVYs2YNZsyYgagoYzAqKysRFmb/ytweQRBQq/I2\n9rUWoz8ZDILotT2CAJfTuKum1mA8AQi2ZXpk9R7ERoXixZlDjMuHtOUbBNt1Eey8ZyL3OjmKk5QY\n25uutlba96T6YMcxDOraHK2b2u7oh09ckrwsRzGVO56uuLsdO6XANm7N0/nXOli3v86XelXmmhqD\nw7tuPx25gKN/Fckb4zrnCstRaxDQLN6zplB/nas/iV4s1mPPwbPo16WZx+Wx3m+//t8pvP3l73hj\nfrpoOk/X3WD6nsXXHc3L3RibkhnL75iaJdfWCtBI7L3ij1PFKCmvNs/nbGE5mtc1VbNs52w5b3uc\nHbNWfngQna+IwyOTe4nKbv19T5jKZbBYvicxFgTAYNGTqsPyuHG8EJVHEJftpyPnbZbjcQwMtt8X\nbxfynk8cxUmO44S9dZH0PQe/i+k9Uzt7X5+rpJBcN9utWzfMnDkT//znPzFq1CgMGTJE9M8bAwcO\nRFVVFTZs2IDq6mps3rwZBQUFNvPNyMjA9u3bkZubi8rKSmRnZ2PYsGGIj49HQUEBpk2bhrvuugsL\nFiwQdSsYHR2NL7/8EitWrEB1dTVOnDiBNWvWYPz48V6V2x/OFJTh74tyPbgh/wZ57/Pf4piTh9eq\nq9lntNy++OEvh32EV7kR7093n8B2O/0dX1ZwUBdPG2AVFBlrWwRBwOET8nX55ouHohqqpW/mYsGr\ne2WZV2V1rew92/xw6JzX8/jk+3xzDab6TudGNbUGh9vxv9buRXWN9GOC1AcOTc8DqJXU44w7TUJN\no+ma2+ZDvduEVJu//RMvbdqv2PzdbXEr9dyj5uO25JrsmTNnmv+uqalBUFCQbG2UQ0ND8dprr+Gx\nxx5DdnY22rZti9WrVyMiIgKLFy8GACxduhRdunTBE088gYULF+LChQvo06cPnnnmGQDA5s2bUVhY\niNWrV2P16tXmeU+dOhVz5szBmjVr8OSTT2LAgAHQ6XSYNGkS7rzzTlnK70tPvJWLyupam9oYNSmS\n+Sl48p1dB/7Gtf2uEL23cO1evDJ7mGzLOFtYjtjIUISHed5k5pE1e7DsvoEQBOD5d/fJtj/8+/Uf\nkPPgUFFb6YbEnSO2IAi4XF6N2Ehpz95YJhtqdtSLfrg/2pUPjUYjeiBRbb7MPYlNO/7EG/PTRb0D\n5f/tuLcnR6dywer/gUypR6r0lTVQst8MV+XWeLDs73/9G5dKKkXb8f8d+Bt7fjvr9rzc4W5JZ+f8\nn6TpPv7+uNtl8RW3znLvvvsu/vOf/+DMmTPYtm0b1q5di4SEBMyePdvrhLtz5852m5wsXbpU9PqG\nG27ADTfcYDNdVlaW036vO3TogDfffNOrMqpBraFx1wQfOl6oyHzX//coerRPROqVSYrMP1CcLijD\nmq0HkTWum/m9MpkHO/jX2r0Y3K057sm4yqv51NYKLk9Azu6qOHL4xCWs3nJQsQtZOdo/S3V/9k7c\nPDwFI3u3dvu7uw+exbrPDuPesVehQ6tYJMWGu/5SAHjunX1efV/p598/2HEMHdvEefz9Sgd9B7/w\nnnG93Sq/H/p9dmXX/jMY0qOFIh0ReNJVoACLmFp9X75u/KyWabkYD8Lw4Xd5uFRSiWE9W+LlzQew\n6M4+eOPzw7KVz9qveRdlvQivqKxBtZNmcWoiubnI+vXrsWrVKkybNg1BdU9TDxgwAO+99x5ycnIU\nKyBZM25U3/5yGuX6Grdu/Zksf984mqY/jpse7RMWBX3hPfFIoL8cK4Acvt13Gjv2nZZlXkrbse+0\norf0fjzseJTHU+dLZekbWLZBBBQ4yJ6/VC77PC1NW7ZD9PrUhVKs/+KI6L1HVu/2uG9gy2/pq2qR\nd8azvsdL6h40W/vxIXy2x/5QyHINFuLIOYV/C0+YT+wKHUC/+OEvHPjzos37nmwOTrchCfuOYCfL\nfstqW/UFQagvy3+2HVFV0i+gPs+1Lpbl+fl7B036PFumHP2GG489zu5weOLbfafxrdW59I3PDuO1\nTw6hqEyei46czQcw+xVptdz+JjnJfvfdd7F06VJMnDjR3N75H//4B5YtW4aPPvpIsQKSfeu/OIrv\n9p9B5gvfuv3d3/Lt1wbf/ew3Hg/eoXRi4sjpC/I9VS3AOIDA2ULxung7EIK95XgS53mrvseWXXn4\n4f+3d97hUVTrH//ubnrvhZoQWightJCEEgiiogEbICo2OgqIiApyxSuKAkqRakGuInoVEOWKqPwU\nxEKTIogIiAkgRAgQSCA9m/n9sTuT2dmZ2SlnNhtyPs/DQ3Zn9syZM2fOec973nL0gugk7A4uXiWb\nIl5Py3rQPOuSiiqr04KY7Vb/98vf+N4e6ozlUpFjFCVP5eU1xmZ1LbquY1IWdBA95kl86lp3pnc4\n4n6voCDO8ZB36g5BX3UHs1bvcXCMVYtSjacmzSjDcJ1C2KL88vYfv6i66PXfn8TOI84mHPxHd8qF\nkLz/eAHWbj0uekzN3eZfKsG+Y9IKGJY13xzHmm/Erycle6iFdGImI1EsZOfn56NlS+f4rc2aNcOV\nK+Qcjyjy8MeAddtP6ipLbIwtrajGD4fy8ZcK7Vd5ZTWmK3R4KimvJr5yJgYDvLnpdzz3NhnnLRZW\nuOI7cUxc/COX/bFY4eq+sLgCJ/6uWwej+iL86cEIc45nV+7Eso2/iR6rMDDzKgAcITSxkeKrPacV\nL9bULnBHzt0muS3dLJZMLF1OcCIsbZ+5cE32ftkj3+0/S/bCMrhbY1xRaRWdH8oqrHjvq1oNunA3\niBRaTRpMUlI2j19PXlIdtGDbAde7q65Sxn+3/6yiclzx4f+dwIrPj2j7sUErU9IKMCNQLGQnJyfj\n22+/dfr+448/RnJyMtFKUaQxWotyrbQK7311DBu2/6X4N1aVQslL76vTfrnrNWJA0IyBx7//Y8tG\n+d9v/wRQOyBXWxmUV1bXi22vMxeuobC4HP/97k9d5ZAUKJW+CyPnbnOYoF3x2Y95quqx6SfX5xeX\nVkl6wFskMqlp7veCH7JmHwDqXg0LYP32v/DDIeO0ofMlbK6lTF70cqZAm4b1zIVrqOEJCf/+zy/4\nS4H5zanz8ue41sYy+OLnPIWLe1v93CXMbN51Ci+9v4+4pvIQIbNCPg5WQwrfKzWOhTU1jKR9fY2O\n51FVbUVhsWP7SpX368lLnNLBk+RZveYy7kSxkP3ss89i+fLlGD9+PKqqqrB06VIMGTIE69atw9NP\nP21kHRssDMM4r+oNniTfsKfu9XSO5BqgnTNwFMn7p9juhe6YAl7tAqWu+Pd/fuHSOquhvLIapTzH\nyQkLdhCrU0WVVfHrcPgv8pMsixIhG5A2gbVIZLmazesnevlkm/rFkSdMZFq2788SNCETwyxlgKuS\nf//nF/z6p2O/rNbgYyMHf0hj/2YY20LyxFnXu5U1vN+4AzbO8fOr9hAt19DqM3ybbMcrmU3ap2w5\nfys9zyPvn2u1H+zvl9RYs2TDYSf7aiUYIaaMnLvNafHlSYK/FIqF7M6dO+Obb75Bu3btkJ2djZKS\nEmRmZuLrr79G165djaxjg6XgSplqra8WLhWVcdtY5ZXqI0lo7ug6XpDjBphNXC8Tv3cS7/FL7+/D\nIRE7alKD0clzRYZrm/jajrIKZf1k3kcHMfMdZ/MbEjX9eu8ZQ+Lfuh2Jqim1QR05dxtneiTFN3v/\nxoXCUmMWpxpQ+jgYhsE/l0tQbVUvfBq1gCW5GyO8L2GN/8ovwm679vNCIRm/F7FWkWwrVshW+MZ+\nuuMvfe1j7xelCscXDUUTxzG6iPCi2q56+vw1ydwHv58qJDbWs7WTG2uEYz1JPyi1XL0uELI9QBHg\nCsVC9rJlyxAQEIDJkydjyZIlWL58OaZOnYrAwEC88sorRtaxwSK2hSMXE/O1/2oLTfXq2gOY+Y5N\nc8AmL2FgCz+kZltq4Se1kT/cJdP8qUAb4wp28qquqYGU+Ce1bacHk+TVpDl25qqoXXZufjFRe+1v\nRJLS8G3/2HBgrii4UoYiQh7lQtRk99K7/VxWUY1dIg5IarhUVK54caIWJVv/M3T4GtTVEqWqugYz\n39mDb/ept0P+9eQlQxaen/2Yhx8O5eOt/2m0T5VBGE1l7Tcn8PYXRx0S6ai5JUbibyFSZnIMZy6i\n7Hpf7jqty0FRiJzArsQJT4rC4nIuStLvGsLCnvj7Kj63m5UxDMMt4kn1tg07/sKH/3fC6fvS8ios\n+PhX92pwBZP58+/uVfXzikqrPgdmOJsr1TrvOp6nx4zGKGSF7OPHj+Onn37CTz/9hOXLl2P79u3c\nZ/bfhg0bsG7dOnfVt8FytuC6yw6kNvMdux0lti117uJ1PLHkJ2xX4DDBvgCsg9WXu42xfRS7Loko\nG5eL7c58Ms07YeEOHPxTvXe4HKSHgxpGWxx1MUe/T7bJO9VeLlYmtHqw/tglVdU13Du35+gFvLP5\nqOS5Stv9DV7oRfa90dJG67efxKtr93Of2UUyUCsYkQx/9/2v+fhy1ymskmkDI1i4ztZeWnbYAOPM\nBH46/I/kO/D4oh80T/ZrvnaMysA+y7f+V5v90nVyEheoEdI5TbZySOwgsPcgN6ep8bMQcpUn9Cl1\nPOfzzV7HLLtSO2Waxz+R/lNZZa1NDqRDmOT/1h3KsNMXrjl9dyTXed4eOXcb9h9Xt3AStsJxD8w8\nKitkFxUVYfTo0Rg9ejQYhsHUqVO5z+y/JUuWYOTIke6qb4PCzHsDZq3ei0N/XlL01g56apOiQV7O\nk5pNQCK2mhYivNLp89dQrULL6PoCtrKEntlHCabTlr++7T/SmSyfXPoTPtbpSChkzPzvVf9GS7SX\nikqrw86FFGwX3rL7tOoB1BX8Hrb9APmIC+Ne/x7/U2hvfULh4C4MDwlom+i+2nNGchfnx8O2yV8q\nmolWPt2Ri51HzquKPEQKrTKFu6MPnD5/zbZbofCy5ZVW0bjzWkOpAhDMEc4VUbPFribcHwnYqisx\n79IX/pMnaGr4PX8hsePXfJw8a3v/hf3t6vUKx90EHZUev2AHNu88JXpMzqGSbUtWJjh13lnoJQW7\n88AA2CYzJq/cJL4LJLULItUfhDKBJ2qyZQOHpqWl4dgx22oxOzsbGzZsQEREhFsqRoHT219ZXeNy\nQGBf8jVfHUdpRTXGDW5vTN0cLur8lTDM1DECAvF6QcQT4k5CEt+z5g7Xy6pQUWVFgIVMvF0A+Pk3\nY9PYKkEu+YwUFVVWVaHhNnz/FxpFBXKfD5y4SCTmNtsDPt52Ev26qM9q6Ir8y45CcWl5NT79QSTy\njskEhmFQXmlVHI95+4FzqNJga+yKNV8fR9/UxrrKsNbUSJpozFmzHxnt4zDi5tY6rqBOtNE6ebI/\n02vqoxTWqfnClVLERwa6OFs6IyD3TuqQGf6z5Q+UVdSaW2hbcCg3F6nUaas+cu42ZHaIA2BfeJKW\nl3hdbs6a/aLfK4VvXrP1l78lz9PqOyR16xcKbWOmcLPgnS+OIqN9nGyZufnFaBYT5HKXUg98k9W1\nW08gW3JMNqG0vBr+vhZFCypWIXjmwjUkxodw3y9e7+iM74k7p4ptsrdt24aIiAhcuHABu3fvRnl5\nOS5dMs5jnyKOq/7Ivns/HMrn7Pi+2n2ayDbvwRMXRe1rXQ3eh/+6jB0iIbvUjqHC7I6kx2BX9/HZ\nj3miTnyl5VUO27l1hkZBZPdR4wQQ/gBaJHBa0Rtz+9zF69j88ykANtOOGW/tQmGxsXG88/4pFjWh\nqqlh8MOhfDy+6AfFZX2x8xS+3HXaI2OPF1wpk7Vj3/X7eeSrjPmrB61CNutYKGfqoxQ1mU755juk\nUdoU7I4GAIf3QotNt5KfKAk/6AqxxCtSkIpnLxVaUw6pTKfCtiUt9LHD6dJPnSM97T9eIL97xQCz\nBYEUhBmURa+poF6sBvucwrYsq6jGxMU/qHreAPC+3ZzKAxXWkigWssvKyjBlyhRkZWVh5MiRuHjx\nImbNmoX77rsPhYWe4bF+oyFc4V0vq3LQTIhi73z87aztB89Jdma55A1Clm78DZt+zHX63tVYt3j9\nIQfHHS2IhjOqgxetsLgCr//XcWA6ff4a9hy94DQJ/5+MhsMIzmqYLADALBGnmTQl5QK7Wp0j5T+X\nS3GpqFYbfuFKGaat2KmrTCcEddywQzx+/Effnqi17VcI+44ePeVZybze//oYflPg6yDnhC1FgX33\nYvPOU5JZ4cSoqWFgranByLnb8MHW49ii0O9j7ocHVNfRnWz8wXk85UNqiFv+2W+cU7sa2O6vxPGb\n5CiixIRKdRQTicbcvFO9D5FUtBvn4CLaWuWqC0dBMUfV3b9fwIET0n5DB05cdFpQKLKfd3ELf+UX\ncaFZ1d6tMFqIXuq1Jnv+/Pm4cOECvvrqK/j6+gIAnnrqKVRWVtLoIgYh7DBKwhq50vhocYzj8/2v\n+U4aSb12jzU1jKxWgpG4BqnwPWpfzN9EnDb4vPfVH1i28TfdiVtcIWwTNtmNWqSSoSjl59/+kdTy\nyc0xUiGq6gKGYVBV7TxxMQD+93MeN6melrBn/OeyMidDLU5hZRXVkkIO6TT3gM3G9GMFW8pS2etq\nahgHJ+Fqaw037vDt8tXE3y2vtIIdurYfOIdv9zkvYMXs8klGujAC9hVWExnKldx2vdRZaaJ12GfH\nmBcVxGxX4nj/6Y6/FGasJC8ulSmMELX/eAF+1jo2uXi9XU2Vf50rwpw1+yS167JCu4sm0xJFheWn\nQ+ckU6IX64wcopYahjE8Sy5JFAvZ3333HWbMmIHExETuu6SkJLz44ov48ccfDalcQ4d9Z9iJSYsX\ntJDzCoUBPkJhTtjBtcfJtv3w1Q/3uwwJZ5TS+us9Z0TjVyvh4TnfiQo5e/4okNUokOJaWZWDJlcr\nxSU6nKwAnPpH2pFGbtxXGqFEDrG+p8Ux75djBRj3unOiHKuVwec/5imKYiM1CfFx0uYr4F+r9mDe\nR+IaWT1hzPj8eDhfsXaY5d0v/xD9/vSFa1j6ae229Ssf7Hfa/VHLjl/zHYRLsfHgg62unbRJcfIc\nWedPNZGh2D5/8WqZqMD6rch3fIWEmoWZmnH3CwmnPD5f7jot6bzHR2lc9JfX7MM2hWnm//ezMifm\nd7/8Q7Jvu+JvnTGkj+QVaja7cbUs0bpjeelqGTZuV2bHbUTGZCHf7T8rvfvugfkQFAvZ169fR1BQ\nkHMBZjOqq42J/drgsfeX5Z8d4X+URUyT7fCVhk4oLNH5sz4R+K9zxTjmIjqDmCa7VIPAImTd9pOc\n44q1hnFtjiPgwpVSVPEiqXy565SmFYHcboAtVKGz/8PidYfwzMpd6i/Go7LKqinRBx/Z5y/X3zSs\nzoRRF8QcixycmhQiZRfN+gEocfLMk1ls6OHKtQrRqCSA9M5VYXG5qn644fu/sOF7cVMYvZw6f61W\nKBXUaTEvpKErxr72vabrk3C61sq/V+/FeYNs17/dd1ZR9CfAUaP/7/8ozyQq7F5SOzlqEHbLw39d\nVmXvzic3v9gpaybLxatlDv4m5y4qew56ZrPPXJj/6A6/qAeNN/bd/nPy9ZY55spH5tMduQ6KAgbA\nkbzLsll0DxyXVmB5noitQsju1asX3nzzTVittULIlStX8Nprr6Fnz56GVK6ho8WvgxGVl2oL+t2F\nqYMYVSK2fO9uPooz9viXcrKSnFOd0ttjGPFraNU2SFFwpUxSmBGy8CO7IMc4Cgq/5RZq3sqqqLLi\n9Y8POk04FVVWJy9qQD4Eo1LGE0xzLobcoCf1/EfO3Sa54zJx8Y9O5kokIDk4XygsJRZKijWzkEwW\nInGZaSt2yjohlZZXGxbejp9wRxg9Y71AkCcR594V8zUm6QKAy0W2pCVahcC8f67hT5GFoFIH3b8L\npDWjQsGnqtqKD1TYuStC0EfkQsVpLVPNQksUiZd36aeH8fb/1Du88k2zamoYogmk5F65kXO34aqL\n3WrZHVIXErweZZic/wV7TKydlPjI/CLYjduy67SskC03tlo90CNSsZD9r3/9C6dOnUJGRgbKy8sx\nevRo9OvXD0VFRZg5c6aRdWywfPC1+mD7opps3t9KbC2FnDpfjL1/1DouznhrN34+ch577N/JCbta\nBjkhF66UelyQ+e32LUpha2vNusjANqGqcYJzdwxgV7ywei8OCicBOUW2TFnLP/sNiz8WN5EoMMAO\nmWTa9Rlv78bu389j5edH8Mk2fXb5/AgRYmjtARMX/6ApdKMS9ts1Tbn5xXhiyU8A5G3RpSI1uKKw\nuJxL8fwXYfMNlqsl+hd0/K5VUWXF6fPXDBnPCq6UYbsKO3clCJ+aXLg6rWXq5dDJyzhxxnncVOLo\n6Wos2bL7NB5f9ANR34ete89gt8Ri5YoB0ZHYPAh6/BOUDI9S5nJKfMnUIPdcSecGIIHigL8xMTFY\nt24ddu3ahdzcXFRXVyMpKQk9e/YkOkFRavldKHApaObxInalLFq1Md/s/dspfB4AfLX7DLq1iSGa\nzpsPK0R+u++sqrTKFwpLERsR4PI8vWYSAMFQQozj4123/STOFlzH1HtTJZ1Ctdg0V1Ra4etj0VhJ\ncdg2+LvgOo7kFaJz62jumNaR4cyF6zhz4ToeEonFfOmq54W8E1JWYcUvxwoQHOCNe7NbaS5HOKHM\n/+gAfLxrn5+ehZZRgim7IH95jWO4MDFHSZMJ+OO0eoesayVVWLT+EM5dLEFEiC8KCdj3Czl9/hqs\nBJJqzVuzD+/P7A8AXBQGEggFXrEwqXrxsHW8JCfPXkVU22iH75TYILvyUWJ9Xp59cxdWT89WXS+h\naMSAwcfbTiIkwBvpInGt9chSUr8kYSctVa/ikkoU23erVnwunmBmyQbnXVg+TuanLvqcWAZJFiVR\ncNyNYk02S3p6OoYOHYr77rsPaWlpqKqqQmWle71LGypaQmYB+gdKMQGbRW0qdzlGzt2Gk7wsdlrr\n/W8FnvAAVIUQk4bMLCSsy9d7znB2wEs+JbM63/37eUxYaJvk+SnD9bDhnWIKRAAAIABJREFU+78c\ntWe8LvrU8p9RIadNUnD5LbucnfG0bnseP3NF0oSCdBTDr/aoDwsmBj8j6OOLfsCxM1cdTCw+/1GZ\nM5cY3+z9G+UCLdM8AiHvpJw7xWJHa+2CNQzD2diSELCFWU9Hzt2GF9/7RXfoURYS/iOuMGKhwTf3\nIbVz5g7B/avdpxWb/snBr+vqLerNE9cKnHHZRZvUzo7cXOsKodkFSTMXKdn/xfd+0ZXeHrA5b3+z\n94zT92Lf1UcUC9l79+7F7bffjg4dOqBTp07cv5SUFHTq1MnIOlLs/J9I2Kq6Rs/AK/bTszzvbK0v\nGVPDYP33J7m61dQwnP3ymPnbsXzjbzh3qQRnZewd3c0Ph/IlVRGkdgre/sJmurPwk18x7vXvMXre\ndt1lCiNSbD9wDtPftDljXrlWITvQK0nve+DERWw/cBYj527j2uFsgTZHsnkfHcTzqySShBDejWMF\nnmulVZi0WHmCGjlITposs9+1tQf7LmrNUKeHQpmkN+7gUlEZXhIk6WDRY37Bf14TFuxwEoK08sux\nAuw8UmtGxC6WjdhP5jtJqsnwKqSi0splhLxeVoXF6w9h5NxthvRpwNn2Xxr5+Yu/ODqsQwBmuWAX\n/KvtwnZxaSXOXLhGbFEO1O4YPb7oB0URj5Qg1GT//Ns/eOt/v+MqoXeXzUK5eecpbgwyMjOlO1Fs\nLvL888+jZcuWePbZZ+Hn52dknSiEkcvc5mnwbeSUD5SOVFbX4KvdZ3DuYgnaNgvH5eJyfLf/LN59\nth+sNQz2n7iI/YRC7FVVk1PLiJlBkHBuFKJnslRCwdUy0cygQpSY6/x5togra/lnNo3+1zo1HB9/\n9yeG9WuJZRt/wy1pTWGtYRw0xqTRErbPXZy5UIyH53xXp3UQy6DpTtgIPUs/PYxRt7dDgJ/iaVEW\nYfZPkn1s1eZareq/3tmDZrHOkb9Io2crfsLCHbirTwvuM7sbQ9xRUyWudER8R8PSimr8caoQyQkR\nmq/HhoutqLKirKIaU+w+CySZ+c4erHq2HwBwphx6Eeogfjr8T50syJVQWFyOiBDPkVEVjyYFBQV4\n8803HeJkUzwf4TaopyG0N/56zxkcOnlJcXIPOQ7/ddlha92VE5kWjuoI8C9ELDX75Df0x6A/fuYK\n2jQL112OGp5cSm7yKLhiW3hdE0myoYWtv/yNbm1i8OvJS/j9VKF4NtEGQpGbE0l4Mgf/vIR/rdqN\nhRN7GVK+UcqO84WlREwjWKYu+wkzH+yGyFBHQUXK5lYpfOd5FlJOcaf+KUa6wCZbCdUyNvdCH6Zq\nK4PXPv5Vk222GE8t/5lIOWKwZmCkNM1HBFGAPNkNr7C4wqOEbMXmIgMGDMCOHcaG+6KQRyqdOik+\n3SEfF1SO62VVGD3f2WSBhIAthl7bMTFIe/MbAWnv7huBV9baQjA2ZAGb4szV65WGOYTWBzb9lIer\n1ytx7tJ12Sy8WhCzSyclBH7FS3Bz5VqF4iy27O6YGkglGjMyccu8j2xhK7XuBlPIoViTPXXqVAwe\nPBibN29G06ZNYTY7yucLFizQVZGjR49i1qxZOHnyJJo3b44XX3wRqampTudt3rwZixYtwuXLl9Gj\nRw/MmTMHUVFRLssoKirCc889h927dyM4OBiPP/44hg4dqqvO9QFlKWwpNzJ/nL6CFo1C67oaFEq9\nYM4H6pMZ3Siw8YnPXSzRHFpRCjFN/hkD/GJWbT4qGzJSL54YJk6IXHx1Elwvo4obpSjWZM+cORMm\nkwlNmjSBn58ffHx8HP7poaKiAuPHj8fdd9+NX375BQ8++CAmTJiAkhJHB6djx47hhRdewMKFC7F7\n925ERUVhxowZisp4/vnnERAQgJ07d2LJkiV4/fXX8euv+lL9Uij1gW/3nSVqvkGhUG5s1n//F/73\n86m6roYm6O6U8ZzVmT7eSPRmoCaNYk32vn37sHbtWnTs2JF4JXbv3g2z2Yz7778fADBkyBC8//77\n2LFjB2677TbuvC+++AL9+/fnoplMmzYNGRkZuHTpEn7//XfJMrKysvDtt9/im2++ga+vL1JSUpCT\nk4PPP/9cVFtOoVAoFAql/nC24DriIwNxsgGb+1A8L7a7Yk128+bNDYuHnZeXh6SkJIfvEhMTkZvr\naO+bm5uLli1bcp/Dw8MRGhqKvLw82TJOnz4NLy8vNG3aVLZ8OUwmEywW9/6jUCgUCoXimuUbf6Pz\nJgVmMzxKVlOsyZ4wYQKmT5+OBx98EM2aNYOXl+NPe/XS7pFdWloKf39/h+/8/PxQXu4Y0qysrMwp\nfKC/vz/KyspkyygtLXX6nVj5ckRGBtLMlhQKhUKheCDXy6sRHh5Y19Wg1DGnLpQgI7Wp6xPdhGIh\n+8knnwQAvPLKK07HTCYT/vhDfTYkFn9/fyeBt7y8HAEBjqmxpQTvgIAA2TL8/f1RUVEhekwply+X\nwKw6PyaFQqFQKBSj8fYy48BR8mFaKfWL0/8UobDQvTbjERHSceoVC9nHjpEPf8bSokULrF271uG7\nvLw85OTkOHyXlJSEvLzaNMKFhYUoKipCUlISSkpKJMto3rw5qqqqkJ+fj0aNGnHH+KYnrmAYBlbj\nIu5QKBQKhULRSGb7OOw+UhuLe+RtyZpSoYvx0uge0tliKR6HVSb+ubvxCN1sRkYGKisr8cEHH6Cq\nqgobNmzApUuXnExQcnJysHXrVuzbtw8VFRVYuHAh+vTpg/DwcNkygoKC0L9/fyxYsABlZWU4fPgw\nNm/ejEGDBtXRHVMolIZC386N67oKFMoNT3qHWOw9VitkexG0z24cRc1Q6gtmDzPr9Qgh28fHB++8\n8w6+/PJLpKWlYe3atVi5ciUCAgIwa9YszJo1CwCQnJyMl156CTNnzkRGRgYKCgrw6quvuiwDAF56\n6SVUV1cjKysLkydPxtNPP81FKaFQKDc+92Y771zFhNn8OJIahRh2XSPLptQPnhiaUtdVuOFpEh0E\nf9/azXmzwoQ0SpkxogvR8uorUaGek01RDE/znVNsLmI0bdu2xccff+z0/ezZsx0+33bbbQ5h/ZSU\nAQBhYWF444039FeU4kR4sK9hKYNJc1O3Jvh2H03Q0xDp0joan2w7yX1ePT0b67efxFd7zuDZB7pg\n7GvfE7tWSlIkzl28jsvFFWjdNIxYue7g0dva4j9bjDMPbIjERQTABIAB0K9LY2w/oC9T7AMDWuPD\n/zvBfW6fGIGubaKx5uvj+ioqQ7uEcBw9dcWw8kmQlhyLzy7aooaRELa8vcxc3O1WTTz7PW6fGIHf\n8woNv05YkC8uFdX6v+npzylJkTj812VMvLsjsSQ/pBdXevEITTal/hHoZ1ufrZ6ejR7JsXVcG+V0\nbR1tWNneXvXrdapv9dVLdJi/03eDeiZg6rBO8LKQbYvsLk3w2mM9iZbp72shWp4UvVMaueU6Wnj+\n4W51XQUA2kyA2Mm/eWyw7usLMxqGBfmgb2pjQ/vI+Ds66Po9fxs/IsSX+9uHwDiUEG/bLUpLjuG+\nIyFqPXt/F0wZWj92vIfzduoWT9Ye7c0V/JT1q57ph7v7tNBc1qjbkzF7VBpCAvUlNOTjWSI2FbIb\nFEun9CZWFl8ouT2zObFyjWTWI8ZO0N6EBTUjGX9HeyLljLi5NZFyXMEu6kgxrJ9tQvLz8UKHFpFE\nyzaCXinxeGVMOvFyB/WunSAD/byw5AlyYwQA9E6JR2rLKCyapG/SXzalD5ZO6e20UGLtbnu0077Q\nn3BnrfCodIzswRPmlGAy2QTAzq2i0CslHo8ObKvq90IS4sQF9WqdDl9S5QKAHgXhvdkt0TTGFoEh\nuXk4fL1rFwN+PvoXBs3jbEJ2bHhtxLCkxqG6ynx0YFu0aBSClCTjxodRtyejQ2IEkbLYJ5+SFImQ\nAHJCq5Do8Np3UK/WODjAB02igxAc4A0A6NDCsS3SVL5nADxOyq4/UgFFF2FBPgj08yZSVlpyDDI6\nxHGfSZUrJEZE86gVX28LEuJCEB5C3p5s5VNZeGVsOu7pm+T65DqGHbTSkmPxwiPdMXtkmoMdo1qi\nQm3PiF10pQuEnSbR+h2GHrq1De6ya0tyMhN0lwfoE8qE9E6JJ1aWGF4WM9o1D0dokE37FxLog76p\nZLTNzWKDMXtUGgBg6ZQ+CPIn+y4/elsyJg9JQahOTVWAnxcC/bydnNmG2hdLN3cnExc3QOG7YFEY\nz5UvtI4Z1B6T7kmB2WRCOE+Tq5ZbezRD66ZhWD09G6ue7QcAMNkli5oafUK23K+lzC+U7AKlJcdy\nC/ubuzd1KGt0TjtVdRTjlvRaRQ+rTAkP1t7GAJDePs71SRpp28xmetI8NlixUMgKopLYH97Eu2uz\ncg/s0UxL9SQJCfDGAwNsipX2CeEA5N+Zzq2iFJUbGx6AVc/0w6S7O+KFR7oju4ttp6h3J8/dVVMK\nFbIbAOntY7Fwov7tI9bhoV1CBDoSWn3zy+ZPxAse7+mgYdJKeLAvmscFo5/9pSUpuKe3twlqvt4W\nxEUEoJ/OKBKjc5JJVEuWUbcnY3DPBABAo6hANIkJgq+3/mGgbXPbpDF2cHvMn5DBbVf++9E0RKoQ\nKEKDnIWxvqmNOUGWIZQzV+8EzCc+0nkhESZyH1pZMbWP84RvF1Ie0akRNZmA5nHBWD092+H7lk1c\nawH52kgxxg123C3p2ka/qZZQoGNNEBLjxZ1L7+yV6LLMDokRuC29OZ4engqTyYS3pvV1+RulmQXZ\nBaxRqZ6FkRT0Ctm+dtONLnazupdH93ApKDWKFM83wTcJMZmA2IgATLizA9olRHDvcZfW0bo1zgDQ\ngadtJhVdQmwdRWoRmpxgmz8bRwdyC6RmMdKxlgF5c51APy9ugcS+I6unZzu9F81i5a/hijt7t4Cv\ntwVPDuuEkbfbFkfsgkms/pPuSRF1lJz5UFdMf8DRkdRsNsHby4LmccHcM2yfIC5nxEYoz3FS11Ah\n+waFbzclNQGpIS05Bo8ObIvV07PRp1Mj+BDY4mNJbh6O+RMysWhSLzxmF6zNZhP0jpU9O8Th9ccy\n8cIj3TnzAJK0ahLqUtBQitzE4Euwrb29LLizt6MNnZ4tP7bayc3DEW+fbKNC/RES4INXx6bDbDah\nmRobVAkZwdvL1gY1BKSVeAmhQIo+neQ11WwbxNkH/lXP9lN3zy4Qdg0TwC1ceqfEY9Tt6hdnrFax\nUbT4pJuhU9PftXU02tk1XSyP39VR4mxH5HqjRdBXXY0RkQoiIfj7emFI3yRO8FHiq6BUkIsOE79+\nm6bhiCS5q2avjt634zH7M7qrTwusnp6NRlG1mY6lQuI9dGtbUXOutLa1fYgdY7q3jXFo34l3d4S/\nrxenHdUKXzOuZtfk9gxxU0d/Xy/R3Yrb0smYRjaNCcLq6dkwmUzo3CoKLXRGIKphGFEFBOm1HVvP\nji0iFSsqxF6VpEahsg7hrt7bu3q7Xjx7ClTIvkFpwps8B3RTt5XaUkSzMP6ODtwkBNheknnjM7RX\n0M6rY9Px9H2duc+dWtq0JgG+Xro1EiazydBwPjd1a4qVT2URKSsyVHrAeureVNEJOSTAG8nNw0V+\noQ4TASO2W9KaYY7AZpjVNqjZkWAn444tItBexFaahK3hrWnqtlAfGSgvxLJ97JY023umtd+KLYbf\nfrqv6GQ/sEdzLJvSGyaTSVRL6sq2OjTQB+/P7I+OSeJaSuF742ymkSQpoMwY0QWP390RwRqfVXMZ\nu2C2XrHh/nhlbDq6tonBnTITblgQuR0LPtU1NYrOe3hgW9zTr6WTLbm3lxm3EtzKZ5/OwPTaMtkd\nKzW9kXNA43Uqdl3j7WURNbPyspgQ4MJnQvjeCvsXKyCScNwMDfLldmZcvYpSu49Gm/Xy14p9OzfG\nvx7qpisKkVR3bBYbpGjR8fTwVEXXsciZBkk02t191JtRDujeFMtk/CPkxthgwiZveqFCdj1DyfYw\nX1PwmEDAeWl0D5e/V6r1FYvWwCclKdLBJlF061bwrnh7mbF6eja8vcwOWlItkLS7FfLerJtFv3dp\nNyfBXX1acMIuazKxbEpvLHmiN1o2DhXdnl48uTdu6trEZdmu7HfFxitXNq6T73GM+ys36KmJ3MFO\n8mLC0eJJvVQvGN0Be+ftEiI0mUSwJgVCbaCXxSTZdmazCQF2XwgxDZarbW1X4ciE27FCLfTAHs0l\nt/nVbDaw96xWuLo5rRniIgIQGuiDwT1ltFqmWtMHNSx/sg8AYOq94pElfL0sit49L4sZj+S0F9WO\nazZ9EvlZlH0sbsMT1Px8bG17P0EtsdTcoHahntIi0mFRyd5S0xjlO0Ds3NJIJlGMKxt7KSWM1HDG\n6NQN19pLO1/g/gGttTn6Abj/plai711seICD07HUc4qPCkSrJqEOJj5iKEnKI9RwdxfckxL/CbOp\ndnwTI1XGhImU3w4pqJBdz2AYRnILkmXjvNpMlt3aOnZwJS+JDwEbXcBZ8BosImTLDs06tNCrp2dL\n2nO9ODIN7TXalLPhikICxQcjVVojnkBuMZu5Hy+wh36zWMycsKRHszK8fyuMyWkn6cUvJiAPJLQt\nqhr7ROEnInSFBPrImrYo2b6cem8nzpaeFGydosP8FZtEALUTLltv4b2JOf3cktbUyZlJy7TvykQo\nuXk4uvEWDKJmUQQNjZc/mcW97sLuKDbxqwn7piV6A7vwaRIdJP7emPQLr6Sab/mTfXC7/X3tyNv9\naWN3ruuUFKl6oRHIW6Tx+4qahYGcQDosuyWRcIxT7+2ECXdKR0oibQvfrU0MurfVJggDtQowqalN\nbue1RaMQyeeY0SEOjaMDcU+WtnB6YUG+mDGiq6xfkSu5gBXgxczb+HQkEM2JVT6I7fCSDseqF8+q\nDcUlSscMtStuuS1araS2iuJeuPkTHE1LerLRSWQGFVemwrNHpol+78ocoGlMkGL5vanAmYM1pSFh\nhSLUBJqc/uAfrP3SQZhUUA8fbwsyOsRhxVRx0xYl9+IkwNp/QzqFLcMweHVsOhc1Qgw2/JnQIUuJ\n8NwhMZKz75YiqbG4faTUvXZKiuS25vWgpC3vzW6FmwX9W06IZHey/v1od9X1kYqu4Mr8R04QE4by\n4wsVzz3YVfQ3wl2Nl0alIUNh5AcTgCyNkVjefbYfwoJ8xe2FCQhvaorg9y9h//T39eIEYc4JLTaI\nU6gE+ns7RJyQglXerJ6e7dDmil5xkXNUCbgqzmUd6RjY3mc5/wcpHw6+sCu2+yQl7EaH+etyyHfV\nlHLHfb0tGCShpTWZbMLl7RnixwdlJuhf1Ch8RsJ7MJlMqucs5RjkUUwQKmTXMxiG/ErtuRFdMf1+\nm6cv34lKTWgysUE8JSmSG2jZUG8srPmD3J24EjqaSHhjDxNJn00Kl06CEnXOcCEA8gUTk+B/4d+k\nEZ1QBJOTVAKN5ObhklvqWmBgM1Xw9bZIhobsLKLNadk4FPdkkQmhKHWvUgtXby+zkzMpHynnWOFz\n1rpeiZBwoFs9PZvbydISFYHfBfh106PJY+1DhWZsgM3Pw341yXoAQOPoIFXOulr9MuR+R2RqVyCF\nsrsW/LrImUew+HhZVPcnqerwTQykhFa941N6+1iXzo+9OtrmI1m7YAGdW4lrfvmLFrG6d2xBNnpW\nXXNXnxY28xz7zfbsWLtIfXUc2fj7rA8J33SSDclHGp3BdNwCFbI9GLFEH34+Ft0xZ4X4+lhkI1jI\nOSCwaLF7BFxMgBKHJt2jfEteiqxOyl56YRU4TbbK6ykZCzq3isao25O5NjHQZ9MBobYecF1ftmpm\nswkdEl1v/ylNRsKfw5+8rzPmP+bsXCsW5cDby8wtym7PaK472QcLG/qxb+fGTluptTsP0g/q7af7\nusxmxt6y8F0gmdzISAdgLcglIHGuqvqZlF34GXXXSuNpyyF2V0MFsfbZcZXfJsqfpV2RYT9fa4Ql\nB79bqUchUic1muzgAB/0l7Fx79gikpuj1DzTMYPEY3C7ylKcrcDeXgwl4R/lcPVopUzi1NrE86Ok\n8BP4pMm0i7crM1J7FcTkFtI7nrXlGlIsUaiQ7cEI7Y3GDGqn3JlPxQAntr3DL0LOAcFl2VIOJAxb\ntvRkxZ9MHCIZEFi9JsYrM48Rhip0pUGTOqpkwvH1saBnx9rdA/5vHruzA7GEG0KkJiK5cFVNooNU\nhSATWxhOE/Vor73poAAfhwmAhZ1QxI4BtpTmvTs1cgr3phR+dB0/uxb6oVvaYMTNbVSXJdx1cuh3\n9uo1iw1Cm6ZhTn2HZKphI5Dq0mqEK6nxge+grcWullv48S5AKsvpqmf6cSHG7pJIKa0ktKdYEqh4\nnpb6rWl9uf7DHwuVmm9I2bhLRUSS1GTzCpCUsUXL0zdQs+YrSY1D8OSwTs73raP4CPvzMwGiDao1\n4pKS8I/yOF+X72DLjglsvOshGhOgSe0GSAUzWPlsNpe0So6Hb22DtvZABQ6P3yBhmO2bYrG4PQUq\nZNcjosP8Xa4II7Qk2ZCUDNUXpRa5bINSnbNF41B01ag5V4sSW0YlMAyDt5/uCwDItNuj8wchV/NR\nk5ggLu6wg1aLwOilxfwoMtQPrz2WqfmabFIKIWq6XNOYINH3gf1KyxwfFernINz6SfTPlKRI7r1R\n8wQS4pztvUMCfPDsA12c5no1QoqS8F8vPKLeLlsOqYmNxLDBd9BWYh4hBdukq6dnI4FAvgDAcaEt\nZSM7rF+Sk1ZaSK+O8XhlbDpu6iauNTXxBGX+etHHhU+BczmOHUttbH/+taX6pKjFmaqrODKgW1Pc\nYvc9MAk08mrJyXRWFrgqSW1ugsE9EzBnjHPkLq2jM19YbyySNZdtk0SNvlQxYf4uAyiwvD+zP5rE\nBDuZfDrXCchKbexWx0OzyYSeHeLQ177LKEyA5QlQIfsGo799wNYzwLEDg1rnyZfsK10S3sOA9LZo\naKAPHick/LLpbQHbQCkMM6g6LrPEqMrfntSTxlwI39ZWq2e5GEZlqGOR1DIruS7PmHnB486Cvt6t\nyThe+Dq5tMRaFjiB/t54UGQ71Vag9noryTCp3rmZ5ycgUrcYiZ0EvZ2HvVLvlHgsm9JHVVZLsYyh\ndUG/Lk1cRugxm02Iiwhw6Ef8VjabauP889vfVRSdkEAftGwcKqnJlkb8ufHfp1CRqEr8x+2wkNPR\nDe67qRWyu4gvPtSGe2xmDwu44PGe3K6didc47N2NtR9b8HhPRVG4+PTr0kQ082sjEQFZDsWLFaEj\nh8JnzD9NrL5ChJlg1eDoZ8TrQyrnVLHFCwC0bhKK1FZRGJXTDrelN8fc8RlO4QI9ASpk1yOUvEdE\nhCP7he7omahqZcgOXE8Oc+0Ip2TgD1IYc1os25gWIkP8RMMMiqJSIOrcOpr7iZgZgBLTBrGkJPz0\n16SyT4rRzyDHFSFqu2+oSDxtTpOtcZbnOxIq0sqo6AqDMhPQr0sT3Ny9qZP2Wc/SwJWdLqmwnEIN\nn5izmhKnRM4MQuyg/ctHb0tGgJ+XYs3Yook9ncJ2+vDfCZHBUYl/i9oxVa1gwn90DpeSMfmQY/Gk\nXhjWr6VkSDUppG6Tby7oSsPLX8hpef/k+gPrOyI2DiohPNjXRcjY2vPUIlUuq6RRmmWWLcdVlmaT\n4H8tdEqKFPXHAcjnmGD74DvP9JUMWCCFcDHAmilOH9EVw/u34r6PUbDTXxdQIbue8ODNrZGoM/Uq\nC7sV5WowiQrzV/WyCYdUm9Dn3OmzUhsps1FWITTeym0tGs+csT0kheL4iAAE+nnhrWnOdo/spCe2\n5Sos7/aM5vAS2PclJ4RjxoguovcY6OeF8GDH7T817ffwrfL2xqR2J1yhxESCvX+xZChPDuvEafdH\n6Ixj7LIeKjob+86x/w/v34qLnsLesrO5iLZ6CUO8vflUFnetGBcJpFwhbFPWWY2NOx8d5ufSdGX2\nyDQuhjNJe9jQIEch6tWx6aK+F2MH1/ogSJkD1Rn8iC7gC1Ma2oQT0JX9Vqq/yTmp2soXvwYJfU98\nZADa2W18e3aMx+rp2aqFd9nbZxjueMtGoUgiNMcKMQs0zlJtHWcXxqcNT5UNuSdcfGl5Y/p1aYIX\nJcLgusrgKVcnObQukADg8btsEYlIZAV1J1TIrie0S4jgXlQlg6bcMMRGC2G3mIWlkRBUV0/PtptF\nONdEjQlGkL83WsgMfP27NsGA7k05rbdUFjoheqIt8FPWC5kytBPmT8iEt5fFWXtocvw9K1C2bhLq\nVO97spKcVuVmk8meqc+57hazCZ1bRTmEYFQzGWWlOmqqg/y9dGc3k0PSDUDBJdlmCRfRYndsEck9\n235dmqjOwKilWyj5iRJzDqdU02rqwP+p4Ic+Gnc41Aj5bKzunh3iXb5bTWKCas0gNNVMGbERAY51\nsf/NN3nw5OgEJp5RtpZ6ktB2AkCrJqGyu4UMI34NLf5Bwi43Z0y6ZHhM5eOTSfRPIVFh/pj5kMZY\n0rxy9US/GpjeHG8+lQUvixmJ8SFY9Uw/p3N8vMzcHKJ2HlNy+urp2QjSEexA9LoEymAzmLpHlUYO\nKmRTOO6/qZVTgg81GNH1lzzRWzb+8QMDWjukVRZzchFDa/pzV/h4Wzib63njMhy0QGz7sA6MLBPu\n7EAkkoTZbHJckKiUkVdM7cP9LZawheROnFTVpLYvxSC9M/j4XR0w6nbxSCt6UbN40IJJ8oPcieoY\nnt1SMp2xUFPnkbAPgW8rqrLRXxlLNqawK1jhmq2nGtM4k8mENyb34kWLku+EUrtIbZqFY+mUPqLH\nai+muFpux5eQqZRSpGJzK8FsMjksis1m5z2MpVN64yH7zqNJ0D/qFoGSwCG6CIH62Yvw9vKEe1UO\nFbI9GKX9MiLEV6VdsnjBN3VrarO/0/hCKE1TYKRPXUqSskUC387z0dvIxFQWEhrk6+CYKDUQkmwP\nvlOl2nJrNQXi3NW7BTH7dzEWTuzpsJUvjTGDbNc2MQ6mDnIphoGTsHlWAAAgAElEQVTa56l3gvOT\niv+r0V6ERMQZwLYYzOFFz7g5rZlkgiDWtInIld04h6rVEJPOUSCEFYRfm+Do0OvKRleKYLWO2wRg\nwy+qCfHJochcTN1Da58YwWUHFv6WARkBVViCGmddVyTGhzgohby9LLCYzbi1RzNFzouOKLtXLU0S\n6O84NxghY4cG+th3c+sPVMj2YBxCvMmcZ4JIvEwFg5XRESQAwFskcUi4h0QAAGyCZe8U+bTLaXaP\nZam0z3J0T45xSnvNtnu8xtBkYs5H7KMMC/LFW9OyYDI5RslQitxYmJOZ4LBroJaZLtovLMhXkc2e\n2IAtOYjr6OMuE/IQmDheHZvO232xFch607tK/y6oDfeX2vBjUgT4eeNuiTjQTmgdTARtmBgfjE5J\nxtj/hwT62AQ/3oNT6ygld3oIwd0xNg43W78WjUPQolEIF4PYCPRMB3ylReOoQLzzTF+0aaa+rkZM\nSSaTSdLZTk+4ufjIACyza/iFgnqfTo5zip77ahYbjDcmOyeEG9avpeq43CNubm1ImLvXJmRivFO5\nzlmM9bJoUi/ca2BGZyPwMK8PilaEL3m7xAjlL7bgt1pfCLHfTbizA66VVXGflzzRGwF+Xjj11TGN\nV1F+bVfMHZeuKN0065TYUqG9N5+hfcUHBNbu7us9Z1SX+dS9qaioskoe9/ay4N1ns7Fs42/4u+C6\n6vLl0DNZJDUOxerp2Xhy2U+qPcy1MqhnAvafuKjpt5Eh8jalJCaOWN5CiNWqxkcG4qVRaQ7H1CC3\n26C1zq4coUyEjJuff5hsLG8+fj5eeO2xTPxx+goAW1vcd1Mr+R+pgMiWvfAF4xX5L632wna6tYnB\nleIK5ddWweR7UlDCG+e1OrgpqQJn9qJTIrc5H3vpeo/VOgiS2mXSSmJ8iOZdETkiBTHzs7s01pXE\nTgzOx8AjTGOUQ4VsD8Yx6YjsmU7fPDCgNaxWN6iqeYhdLTTI1yHMmhKh1l1Ixvl1guxLzTDandEA\n8agwpHYlAv29UW2tIVOYBIsmKkuxToJmscHwsphV39OyKb1dms+QJr19HCqqbfVsLONcK4ZjwhCZ\nEzVMUEue6C373j73YFckxAVjzdfH1Ttiqa4NOXp3ilekbWUcNHLSNSbxCibEhzg4zpFyXgRsyczu\n50WHaRIdhLMXaxfhSus/eUgKlmw47PBdeLCv07jkKiqJXtTGoBaiJ4NuSlIkWqgQVkMCvJHP+2yU\nTxAp9Aqywuy4euY7wLaIa92sfpmJsFAh+4aAYEgjBccpNy4vjkyTDaPXULqGEi1MrU02mWu2T4zg\nQuGpha/1Jr20drUw5u/wqG2L+qaVkoXAStdscnScI2X3L4avtxm9U+Lx4+F/bF8orH9qS2V+L5qS\nbilxELaPQiNvS3ZxpjMJccHOSgoNTTtlqOtcEA6XsD+/sGBfrHwqy9CcBp5IZoc4LhW8FqQcrusD\nHmOT/d5776F3797o0qULpk2bhtLSUtHzKisr8dxzzyEtLQ2ZmZlYuXKlw/EVK1agb9++6NatGx58\n8EGcOHGCOzZ79mx06NABnTt35v7l5+cLL+ExqBmz9QzBQYItr8gQP3Rrqz5zUr2fLt12A44P1h22\n8UoJD/Z1SMYixNvNnvpi1KVc9uAtPA2NinoY/Yxv7dEMS6c4221SnGEfm6ZnIvPMU1tFIVmDzXRW\naiPc1Vvc18Gorp6SFIm0ZMccCGqbo3UT1+Zzo3OSMTpHuTCsJmyoFnvq2IgALHi8p+rfuULKWoo/\nVq2eno3GUYENTsAGbM8qIc6YGOSeTt3PmAC2b9+Od999F2vWrMGOHTtQVFSE+fPni567aNEi5Ofn\n47vvvsNHH32E9evXY8uWLQCAjRs3YtOmTfjggw+we/duZGRkYNy4caipsW3BHj16FK+//joOHjzI\n/WvUSN7pzVNwOfTYX2YlyTz4rJ6e7ZQ1z8fbgsfu7KCqHEDdIE1c5iDivSxeCGmhjvS99+nUCNlu\nysjYOyVeMoGBu6hLu0axiCOesLj0sphrI3/U4aqtPmmmCcvYeGRgMp6+r7PqMuMjAzHI7lDsVCeD\nmnPK0E4YoMNcAgBG3CKfwAoAMjvEI7NDvPJC66Dr6m3iFx7pTtz+uK6pP2+x5+MRQvamTZswZMgQ\nJCYmIjg4GE888QQ2bdoEq9XZuWvTpk0YN24cgoODkZCQgBEjRuCzzz4DAFy5cgXjx49H06ZN4eXl\nhYceegj5+fk4f/48ampqcPz4cSQnq99iqiu0zFedFG7lUZyRau+eHeLQK0XFROECoQykVy55ZGBb\nyYQNpLGYzapiWSshyN+bC7GlhrqW5zx1InIVichI1JbfWGOEHRIYbTOsBaexweAn5pDS3QN21FQ5\nPnoI/FTyNwyeOrjVQ9xmk11dXS1qAmI2m5Gbm4sBAwZw3yUmJqK0tBQXLlxw0DQXFRXh8uXLaNmy\npcO5H374IQBg1KhRDmVv27YNYWFhiIuLw6lTp1BeXo558+bhwIEDiIuLwxNPPIF+/fopqr/JZIKO\njKCaMPP2oCxmEywWKRtQExcBg029bpbx9mdQW45FJMSeVrzsZSkpkw1NpfT6yc3DsfPIebw8uofo\nb9SWJ1onXhsnxAXjiaEpsFhM6JAUiQ68sGJs28q1sRz8Zym8LknYfqK1bL5W0oj6sTSKCkBzQfpr\nuTY2mWvrxPZ7k0m6DdlvSd4DLxkfLBazy7L1Pgs1mGSuw6+H3n4shtq+fFefFpgyrBOxdmGjnMiV\nZ7YfG5bdUtlYxR+HvaTvT3RcUtnGFotj+RYVY6oWhDsPaq5j4e6NXP2UvKvswoM9R28/VtJntML3\n2zCifC/GmLqbeW1ixDjRkHCbkL137148+uijTt83btwYFosFfn61dqD+/v4AgLKyModz2c/scQDw\n8/NDeXm56PVeeOEFzJ49G2azGcXFxUhLS8Po0aPRsWNH7NixA1OmTMG6devQpo3rba/IyEC3b4UG\nB5dwf4eGBSAiwqZB9BbYdJktJgQF2dovLCzQ4X8x2EgLFi8LVyYJyuwbD0rK9LU7xSi9flZEELK6\nS2dzDLAnXdBzP0FBftzvvbwtaJkgvysg18ZyxMWGOHhbh4UFICLUX+YX2vDxUdfGQvx5W6Ak+4kQ\nL5l+KNbGrElURHgQLHa7TG9vmb5sf21J3oO3txe3sAsPD0SgC+dAdiI3sh1Z5N7rji2jAVxyOK61\nH4sREOCr6h7DwgIQG0POVlPJuBJSaJsv4mOVheQMDKg1p4uMCJKMXy53TaVtLBwLrCaLy7L14OfH\nT5al7jqhoTZn25DQAGL1s9jjPsuVx85/wnO09mNfneOkHGxfkR2fdLJwSh/iZQf4O8+nJMeJhoTb\nhOzMzEwcP35c9NigQYNQUVEbv5MVpgMDHR8qK4iXl5cjKCiI+zsgwDEU2+eff44XX3wRzz//PAYN\nGgQASE1Nxfvvv8+dc9NNNyEjIwPff/+9IiH78uUSt2uyr12rXWQUXS2Fv31sr652DEdWY2XQvlko\nJg9JwdWrJQgLC8TVqyWoqRHfVrPabdSt1VYUFpKLo+xnZvD8w90UlVlRYYupSur6paWVussrKSnn\nfi/XNmazyWUbS/H+zP64fs1x8Xj1ailMIqZReqmsrAagvU3Kymvj3pLsJ0JMIuXLtTErZBdeuc7F\n462qkn5e3PkE76GqqprbXr96tQQVZfJDaY2VfB2kKCuvkrzOAze1BG5qicLC67r6seS1yypU3eO1\na2UoLCRnz1pR4brPs+Oq0nqWlNTOTYWFJZIJQMTKU9vGV66UOIwFRcXlquqqFnYcBoCaGkbVda4W\n2Xami4tKURhARpTI6tQIceEBsvWoqra1D3uO3n6sd5yUg62r3Pikl8hAb+Jll5bVzqdGjBM3GnKL\nHI8I4ZeUlITc3Fzuc15eHkJCQhAT4xjhIiwsDJGRkcjLy0NUVBR3blJSbbbD5cuXY82aNVixYgUy\nMjK473ft2oXTp09j+PDh3HcVFRXw9ZVPOMHCMAwMkINk4Xdoaw3Dxb12dm5kYDGbkdoyivtNDe98\nIdYathwQj6WdGB+iqEz21khdv8beJnrK47eHkraRa2M1WK1kynFCZxsz/P5nUMz1l0alITjQR7J8\n2X5sZWoNSRnXbUjyHvivoLLnp79/KmHa8FTEhPmrug6pfgyoH1OYGsLPpcZ1O9coOEfsfPZv2f4o\nU4aicVHQHnZ9iGH95pbuzdAkOghrt55Q/ezYhaOwznrIaB+HjPZxsuX52hc5wnO09mP2XTZmDDZu\nrjUSsTYhOU40JDzC8XHw4MH45JNP8Oeff+L69etYsmQJcnJyYBZRHQ8ePBhLly7F1atXcerUKaxd\nuxZ33HEHAODTTz/F+++/j48++shBwAZstlHz5s3Dvn37YLVa8cUXX+DQoUMYOHCgW+7RCNiUrhQy\nDkLU4kyAGxqkcXQQQuymPsZhlD2r8nNv7dEcA7rpi+aghHYJEYgKI296pBTVyWhIPxqD+6zRdqlq\no0PpJTYiANldmiAixBfxUeoyjIYG2d5bdzsijh3cHnPG9CBWHh33naFtQg6P0GRnZ2fj7NmzGDdu\nHIqLi5GVlYVnnnmGO965c2e888476NatG6ZMmYJXXnkFAwcOhMlkwkMPPcQJym+//TZKSkowZMgQ\nh/I3bNiA9PR0PPfcc3juuedQUFCAxMREvPnmm4iNdYwV6lnId3W1KV1rS6WvkCi8ZmmIsUyd8HCl\nhXJ5pO5vpH/XJnVdBbcQHSodY10Mc12HiFEAv/e4u7buap6XR/dQtUBaPT3bwNrIExzgg2DDF+YN\nm3rwWtYbPELIBoCHHnoIDz30kOixgwcPcn/7+flh9uzZmD17ttN533zzjew1hg4diqFDh+qrqFup\nHd75Gg7a/40hwNdmG/rK2HTNCxgKpaHy1rS+kvbKYjSKCkSkSqHcFe0TI5CbX0y0TD7udn5319X8\nfLSPd/VeaWNk9am02uChkkQ9pO71cjcer03IRESIzT4/LkLdtimlbnDQgtLJrM5RI2ADNu0padLb\nxSG9XRzxcuuMetCvPS1uNYXiSVAhuyHiAeN2k2iyIYcsOm0lSWvUKMbitF3tCZk0KBSdOCejoRiN\nUZr4h29tg2axwfg9r9CQ8in1AypkezTyyTX0ksJLsOJuBnRrgpu6kbNTzUptdGNm3qJQKA0GJ60w\nlbKNx6A2zkptbEzBbsDdZlE3MlTI9mhsA26HxAhEhIhrWls1CUVjjVrhgenSyV2MxmQiqz/w8bag\nddMwgiXeADSkcbIOJgU6ETUMurSOxrXSStzcXTw6TJPoIPxzuUT0GIVSH6EjGzmokF0PmHpvquSx\nGSO6qi7PJPifQhGjW9sY7D56AVeuVbg+2YMJ8vdGWSX5IPfuDrdGqRuC/L1xe0aC5PHZo9IMu7an\nj9FPDElBs9j6vYPojjam0aoaLlTI9mg8fYil3MgkxofgyWGdMOvdvXVdFV288Eh30ERlFBaP3oEQ\nWot4cl0BdGoZVddV8HjmjOlR70IOJlDTS2JQIbs+Qmjg9fDxu0FgMZsQ4Ou5r2GT6CAsmtSrrquh\ni9AgZVldtUIV2vWLmHB/+PvWD80iHaONp3OraJwvLDWs/PjIQMPKNorkhIg6jYV+I+G5szsFvt7i\nIbHCAvWtij1dO9KQeOeZfnVdBZeE6uxv7qAuenTte0Sl7PpEWJAvlj+ZVdfVEEXYkwL9vPHUcGlz\nQYp+UltFIbUV1chTjIEK2R5M66ZheHVcutP3D97SBkP6JhG4AhW2KTcGdSnm+nvwTgSlfhEokgSr\nfUJEHdSEQqGQgM4OHozJZEJsuHNiFB9vC3yoIwWF4hHQnSEKCej2PIVy46EuRReFQqF4IO4Uc6NC\n/dC2Wbgbr0ihUCiU+ggVshswVAFHoahn/oRM3NqjWV1Xg0KhUCgeDhWyKRQKhUKhUCgUwlAhm0K5\nQbGY6VYFhUKhUCh1BXV8pFBuUB4Y0Bq3pDUQswa6nqBQKBSKh0GFbArlBiU4wKfeZRrTDA1VTaFQ\nKBQPg5qLNFDS28VScwIKhUKhUCgUg6Ca7AbK2MHt67oKFAo56HqRQqFQKB4G1WRTKJR6jcVsQrOY\n4LquBoVCoVAoDlBNNoVCqde8Na0vjflOoVAoFI+DCtkUCqVeY64j3wIq2FMoFApFDmouQqFQKBQK\nhUKhEIYK2RQKhUKhUCgUCmE8Rsh+77330Lt3b3Tp0gXTpk1DaWmp6HmVlZV47rnnkJaWhszMTKxc\nudLheE5ODjp16oTOnTujc+fOuP3227ljO3fuRE5ODlJTU3H//fcjLy/P0HuiUCgUCoVCoTRMPELI\n3r59O959912sWbMGO3bsQFFREebPny967qJFi5Cfn4/vvvsOH330EdavX48tW7YAAMrLy5Gbm4vt\n27fj4MGDOHjwIL788ksAwKVLlzBx4kRMnToVe/fuRWZmJiZOnAiGoVksKBSKeqhJNoVCoVDk8Agh\ne9OmTRgyZAgSExMRHByMJ554Aps2bYLVahU9d9y4cQgODkZCQgJGjBiBzz77DABw4sQJREVFISIi\nwul3W7duRXJyMrKzs+Hj44MJEyagoKAAv/32m+H3R6FQKBQKhUJpWLgtukh1dbWoCYjZbEZubi4G\nDBjAfZeYmIjS0lJcuHABjRo14r4vKirC5cuX0bJlS4dzP/zwQwDA0aNH4eXlhXvvvRenT59Gu3bt\nMHPmTCQlJSE3NxdJSUnc7ywWC5o2bYrc3FykpKS4rL/JZILZI5Yk8rCRFuoq4kJDgLax8dSLNrZX\nzWLx4DrKUC/auJ5D29h4aBsbC21ffbhNyN67dy8effRRp+8bN24Mi8UCPz8/7jt/f38AQFlZmcO5\n7Gf2OAD4+fmhvLyc+9yxY0c8/fTTiIqKwooVKzBmzBhs2bIFZWVlCAoKcijP39/f6RpSREYGwlSP\nYnaFhQXWdRVueGgbG48nt7GfjxeKS6oQERHk+mQPxpPb+EaBtrHx0DY2Ftq+2nCbkJ2ZmYnjx4+L\nHhs0aBAqKiq4z6zgGxjo+FBZQby8vJwTmMvLyxEQEAAAGD58OIYPH86d/+STT+LDDz/EH3/8AX9/\nfwdhnL0O+1tXXL5cUm802WFhgbh6tQQ1NdTe3AhoGxtPfWjj6SO6oKq6BoWF1+u6KpqoD21c36Ft\nbDy0jY2Ftq9r5BQtHpGMhjXnYMnLy0NISAhiYmIczgsLC0NkZCTy8vIQFRXFncuagXzyySdo2rQp\nMjMzAQBWqxXV1dXw9fVFixYt8PXXX3NlWa1WnDlzxsH0RA6GYSBiIu6x1NQwsFrpC2EktI2Nx5Pb\nOCzQFwA8tn5K8eQ2vlGgbWw8tI2NhbavNjxCNzt48GB88skn+PPPP3H9+nUsWbIEOTk5MIuojgcP\nHoylS5fi6tWrOHXqFNauXYs77rgDAFBQUIA5c+bgn3/+QXl5OebOnYsWLVqgbdu2GDBgAI4cOYKt\nW7eisrISK1euRFxcHNq1a+fu26VQKBQKhUKh3OB4hJCdnZ2NMWPGYNy4cejbty+Cg4PxzDPPcMc7\nd+6Mffv2AQCmTJmChIQEDBw4EPfffz+GDRuGgQMHAgDGjx+PXr16YejQocjIyMCZM2ewfPlymM1m\nREdHY8WKFVi2bBl69OiBnTt3YunSpfXKzppCoVAoFAqFUj8wMTRQtCIuXrxW11VQhMViQkREEAoL\nr9OtHYOgbWw8tI2Nh7ax8dA2Nh7axsZC29c10dHBksc8QpNNoVAoFAqFQqHcSFAhm0KhUCgUCoVC\nIQwVsikUCoVCoVAoFMJQIZtCoVAoFAqFQiEMdXykUCgUCoVCoVAIQzXZFAqFQqFQKBQKYaiQTaFQ\nKBQKhUKhEIYK2RQKhUKhUCgUCmGokE2hUCgUCoVCoRCGCtkUCoVCoVAoFAphqJBNoVAoFAqFQqEQ\nhgrZFAqFQqFQKBQKYaiQTaFQKBQKhUKhEIYK2fWEw4cPo1evXtznv//+G6NHj0a3bt1w880347PP\nPuOOVVdX4+WXX0bPnj3Ro0cPTJ48GYWFhdzx999/H9nZ2ejWrRsmTZqES5cuufVePBU1bVxaWooX\nXngBGRkZ6NmzJ1577TVUV1cDABiGwRtvvIFevXqhc+fOePDBB/Hnn3+6/X48EVJtPGvWLHTu3Jn7\nl5qaijZt2uCLL75w+z15Cvv27cPQoUPRtWtX3HTTTfj4448BAEVFRXj88cfRtWtX9O3bF+vXr+d+\nwzAMFixYgPT0dHTv3h0vv/wyrFarU9nvvfceJk+e7LZ78VSMaONx48YhJSXFoT83VIxoXzrfOaKl\njVlqamowceJErF27lvuOzncuYCgeTU1NDbN+/Xqma9euTFpaGsMwDFNdXc3k5OQw06dPZ0pLS5nc\n3FymX79+zPfff88wDMOsWbOGGT58OFNUVMSUlJQwjz32GDN9+nSGYRjmyy+/ZLp3784cOHCAqays\nZBYvXswMGTKkzu7PE9DSxi+88AJz1113Mf/88w9TVFTEjBo1ipk3bx7DMAyzbt06ZuDAgcz58+cZ\nq9XKLF68mLnzzjvr7P48AdJtLGTx4sXMiBEjmMrKSrfdkydx9epVpnv37sz//vc/xmq1MkeOHGG6\nd+/O/Pzzz8ykSZOYadOmMeXl5cyhQ4eYtLQ05uDBgwzDMMwHH3zA5OTkMBcuXGAKCgqYu+66i3n7\n7be5cktKSph58+Yxbdq0YSZNmlRXt+cRGNXGvXr1Yg4fPlxXt+UxGNG+dL5zRGsbMwzDnD17lhkz\nZgzTunVr5oMPPuC+p/OdPFST7eG8+eabWLNmDcaPH899d+rUKZw8eRLPP/88/P39kZiYiPvuuw8b\nNmzgjtfU1HCrebPZDD8/PwDA1q1bMWzYMHTu3Bne3t6YNGkSTp48iePHj7v/5jwELW28detWTJky\nBXFxcQgJCcHkyZOxceNGMAyDIUOGYMOGDYiNjUVpaSmuXbuG8PDwuro9j4B0G/M5cuQIPvjgA8yf\nPx/e3t5uvS9PIT8/H1lZWRg0aBDMZjPat2+PHj164MCBA/j2228xefJk+Pr6IiUlBTk5Ofj8888B\nAJs2bcLDDz+MmJgYREdHY9y4cQ67CRMnTsTp06dx77331tWteQxGtPHly5dRWFiI1q1b1+WteQRG\ntC+d7xzR2saVlZW4++670bp1a6edFjrfyUOFbA/nnnvuwaZNm9CxY0fuO6vVCovFAh8fH+47s9mM\nU6dOAQCGDRuGc+fOIT09HV27dsXp06fx1FNPAbBt97ACNwCYTCaYTCacPn3aPTfkgWhpY6vVCn9/\nf+6YyWTClStXUFRUBJPJhICAAGzcuBHdunXD559/jilTprjtfjwR0m3M59VXX8XYsWMRHx9v7E14\nMMnJyXjttde4z0VFRdi3bx8AwMvLC02bNuWOJSYmIjc3FwCQm5uLli1bOhzLy8vjFjKvvvoqli9f\njqioKHfchkdjRBsfPXoUgYGBGDduHNLT0zF8+HAcPHjQTXfkWRjRvnS+c0RrG3t5eWHz5s2YNm2a\nkyKDznfyUCHbw4mJiYHJZHL4rkWLFmjcuDEWLFiA8vJy5OXlYd26daisrARgW3VmZ2fjxx9/xM6d\nO9GoUSPMmjULAJCdnY1169bh2LFjqKysxPLly1FeXo6Kigq335unoKWNs7OzsWzZMly6dAlFRUVY\nuXIlADi0Y05ODg4fPowJEyZg9OjRuHr1qvtuysMwqo3379+PkydP4oEHHnDfzXg4165dw/jx4zkt\nFV/IAAA/Pz+Ul5cDAMrKyhyO+/v7o6amhnsGsbGx7qt4PYJUG1dUVCA1NRUzZ87EDz/8gMGDB2PM\nmDG4ePGiW+/H0yDVvnS+k0ZNG5vNZkRHR8uWR+c7caiQXQ/x8vLCihUrcOzYMWRlZWHmzJkYNGgQ\ngoODAQAzZszAwIEDERMTg/DwcEyfPh1btmzB9evXceedd2LEiBF47LHH0L9/f1itViQlJSEkJKSO\n78qzcNXGM2fORKNGjTB48GAMHz4cffv2BQCHdvTx8YGPjw9GjRqFoKAg7N27ty5uxWMh0cYbN27E\n4MGDERgYWBe34HH8/fffGD58OEJDQ7Fs2TIEBAQ4CRTl5eUICAgAYJtI+cfLysrg5eUFX19ft9a7\nPkGyjW+66Sa8/fbbaNWqFXx8fHD//fcjPj4ee/bsces9eRIk25fOd+KobWMl0PlOHCpk10NqampQ\nWlqKVatWYc+ePfjoo49QXl6Odu3aAbDZXbGaKACwWCwwmUwwm80oKCjAbbfdhm3btuHHH3/Eo48+\nitOnTyM5ObmubscjcdXGBQUFePbZZ7Fz50589dVXiIuLQ0JCAvz9/bFkyRIsWrSIK4thGFRWVnLC\nI8WGnjZm2b59OwYOHFhXt+BR/P777xg2bBh69eqFFStWwM/PD82bN0dVVRXy8/O58/Ly8rjt9aSk\nJOTl5Tkca9GihdvrXl8g3cZff/01tmzZ4nCNioqKBrvIId2+dL5zRksby0HnO3mokF0PMZvNmDp1\nKtatW4eamhrs3bsX69evx7BhwwAAffv2xZIlS1BYWIjr169jwYIF6Nu3LwICArBz506MGzeOO8aG\n+ouJianju/IsXLXxqlWrMGfOHFRWVuLs2bNYsGAB7rvvPgBAp06d8N///pfboly2bBmCgoLQpUuX\nurwlj0NPGwM2bUxxcTE6dOhQV7fgMVy6dAmjR4/Go48+ihkzZsBstg3tQUFB6N+/PxYsWICysjIc\nPnwYmzdvxqBBgwAAgwcPxrvvvovz58/j0qVLeOutt3DHHXfU5a14LEa0cWlpKebMmYOTJ0+iqqoK\nq1atQnl5OXr27Fln91lXGNG+dL5zRGsby0HnOxfUYWQTigp2797NhT5jGIY5fPgwc/fddzOpqanM\nbbfdxmzdupU7VlRUxMyYMYPJyMhg0tPTmaeffpq5cuUKw+tK27EAAAFgSURBVDC2UGpz585levTo\nwXTv3p2ZNm0aU1xc7Pb78UTUtHFhYSEzfvx4pmvXrkyvXr2Y5cuXMzU1Ndzx//73v0x2djbTvXt3\nZuzYsczff//t1nvxVEi28a5du5jMzEy31t9TWblyJdO6dWsmNTXV4d/ChQuZK1euMJMnT2a6d+/O\nZGVlMevXr+d+V11dzSxcuJDp2bMnk5aWxrz00ktMdXW1U/lLlixp8CH8jGrjN998k8nKymI6derE\n3HfffcyxY8fq4vbqHCPal853jmhtYz4jRoxwCOHHMHS+k8PEMIJ4WBQKhUKhUCgUCkUX1FyEQqFQ\nKBQKhUIhDBWyKRQKhUKhUCgUwlAhm0KhUCgUCoVCIQwVsikUCoVCoVAoFMJQIZtCoVAoFAqFQiEM\nFbIpFAqFQqFQKBTCUCGbQqFQKBQKhUIhDBWyKRQKhUKhUCgUwlAhm0KhUCgUCoVCIcz/A4Rx/avN\nMhkNAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "p = pd.Series(arma_mod.fittedvalues,index=d.index)\n", "e = pd.Series(arma_mod.resid,index=d.index)\n", "\n", "plt.subplot(2,1,1)\n", "plt.plot(p,lw=1)\n", "plt.title('Fitted Values')\n", "plt.ylabel('meters')\n", "\n", "plt.subplot(2,1,2)\n", "plt.plot(e,lw=1)\n", "plt.title('Residuals')\n", "plt.ylabel('meters')\n", "\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Test for Stationarity\n", "\n", "#### Lag Plots" ] }, { "cell_type": "code", "execution_count": 48, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 48, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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jLpe12bCyi9MTjS4XjXCFZRoMre0hO4slZLMNk2Mb56yaXdfkvZN1MpbJ0dNV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\ny5Ytk+LgzrFfqHhcNqwsFos1YyuvK8cBHMehVCoB0qP+0Y9+xM6dO3n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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# lag plots\n", "plt.figure(figsize=(5,5))\n", "pd.tools.plotting.lag_plot(e,alpha=0.4)\n", "plt.axis('equal')\n", "plt.xlabel('e(t)')\n", "plt.ylabel('e(t+1)')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Comparing First and Second Halves of the Data Set\n", "\n", "A second test is to split the data set into halves, then test if the distribution of the first half is statistically different from the distribution of the second half." ] }, { "cell_type": "code", "execution_count": 49, "metadata": {}, "outputs": [], "source": [ "from scipy.stats.kde import gaussian_kde\n", "from scipy.signal import detrend\n", "\n", "n2 = round(len(e)/2)\n", "\n", "e1 = detrend(e[:n2])\n", "e2 = detrend(e[n2:])" ] }, { "cell_type": "code", "execution_count": 50, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 50, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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ZGENTAGhYpe4l+2tHRON2erJsuk9NRKRsUKAmUkkcPn8WQ6ANgMbReQRq0WG+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\n24ZdfpwnXtjPi9vr3Q5PRARQoSZjUGNblP/3F6+z8c+HMcDU6gj/8Jl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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "kde1 = gaussian_kde(e1)\n", "kde2 = gaussian_kde(e2)\n", "\n", "def datefrmt(d):\n", " return d.strftime(\"%b %d, %Y\")\n", "\n", "t0 = e.index[0]\n", "t1 = e.index[n2]\n", "t2 = e.index[-1]\n", "\n", "dist_space = np.linspace( min(e), max(e), 100 )\n", "plt.plot(dist_space, kde1(dist_space), dist_space, kde2(dist_space))\n", "plt.title('Kernal Density Estimate')\n", "p1 = '{0:} to {1:}'.format(datefrmt(t0),datefrmt(t1))\n", "p2 = '{0:} to {1:}'.format(datefrmt(t1),datefrmt(t2))\n", "plt.legend([p1,p2],loc='upper right')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Kolmogorov-Smirnov statistic\n", "\n", "Given two samples, the Kolmogorov-Smirnov (KS) statistic is a two-sided test for the null hypothesis that the samples are drawn from the same distribution. When the KS statistic is small, or the p-value high, we cannot reject the hypothesis that the distribution of the two samples is the same." ] }, { "cell_type": "code", "execution_count": 51, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Ks_2sampResult(statistic=0.025887147621274031, pvalue=0.078706339341129708)" ] }, "execution_count": 51, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from scipy.stats import ks_2samp\n", "ks_2samp(e1,e2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The p-value would have to be less then 0.05 to reject the hypothesis that these samples are drawn from the same distribution at the 95% confidence interval." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Test for normality of the residuals." ] }, { "cell_type": "code", "execution_count": 377, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "NormaltestResult(statistic=1386.5025709937495, pvalue=8.4099252635399581e-302)" ] }, "execution_count": 377, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from scipy.stats import normaltest\n", "normaltest(resid)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The extremely small p-value provides strong evidence that the residuals are not normal. We can confirm this result with a qqplot." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### qqplot" ] }, { "cell_type": "code", "execution_count": 119, "metadata": {}, "outputs": [ { "data": { "image/png": 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mwE/BarUoPj5WDkep3G4esAgmxtY8jK15GFvzMLbBsXatdPPNsbVfBWfG+9FH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\nAA4AAAC4EAEcAAAAcKH/B0xO/HmwAAX+AAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from statsmodels.graphics.api import qqplot\n", "\n", "fig = plt.figure(figsize=(12,8))\n", "ax = fig.add_subplot(111)\n", "fig = qqplot(e, line='q', ax=ax, fit=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Fitting a Normal Distribution" ] }, { "cell_type": "code", "execution_count": 246, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "-1.52370295794e-07 0.00770218961325\n", "Location = -0.0 centimeters\n", "Scale = 0.77 centimeters\n" ] }, { "data": { "image/png": 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NGzN8+HC2bNlCcHAwixcvpkmTJsyYMYM5c+YwY8YMXF1dGT58uNFR+H79+hEZ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\n9A4HEpiiUKCnW5l07tPxpLFA+EhWWaA00BS1WgU2rBgw+n1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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import scipy.stats as stats\n", "\n", "dist = stats.norm\n", "\n", "# lets try a t distribution first\n", "m, s = dist.fit(e) # get mean and standard deviation \n", "print(m,s)\n", "\n", "def nplot(m=0,s=0.004):\n", " print(\"Location = \",round(100*m,3),\"centimeters\")\n", " print(\"Scale = \",round(100*s,3),\"centimeters\")\n", "\n", " # histogram\n", " fig = plt.figure(figsize=(12,5))\n", " ax1 = fig.add_subplot(121)\n", " e.hist(bins = round((0.5*e.size)**0.5),normed=1,alpha=0.6,ax=ax1)\n", " plt.yscale('log')\n", "\n", " # plot pdf\n", " lnspc = np.linspace(plt.xlim()[0], plt.xlim()[1], len(e))\n", " pdf_g = dist.pdf(lnspc, m, s) # now get theoretical values in our interval \n", " ax1.plot(lnspc, pdf_g, label=\"Norm\",lw=3) # plot it\n", " plt.title('Distribution fit to empirical data')\n", " plt.ylim(0.004,122.0)\n", "\n", " # qq plot\n", " ax2 = fig.add_subplot(122)\n", " sm.qqplot(e,dist,loc=m,scale=s,ax=ax2,line='q');\n", " plt.title('Quantile-Quantile plot of level differences')\n", "\n", " plt.tight_layout()\n", "\n", "nplot(m,s)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can see that a Normal distribution seriously underestimates the frequency of large events." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Fitting a t-distribution." ] }, { "cell_type": "code", "execution_count": 243, "metadata": { "collapsed": true }, "outputs": [], "source": [ "import scipy.stats as stats\n", "\n", "dist = stats.t\n", "\n", "# lets try a t distribution first\n", "df, m, s = dist.fit(e,10) # get mean and standard deviation " ] }, { "cell_type": "code", "execution_count": 244, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Degrees of Freedom = 2.88\n", "Location = -0.0 centimeters\n", "Scale = 0.481 centimeters\n", "(0.0044231598919492543, 122.23181611857309)\n" ] }, { "data": { "image/png": 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3jh49ejBr1iwaNmzIhAkTmDx5MhMmTKBSpUoMGDDA6Cr8iy++yKVLl9TfrJo1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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from ipywidgets import interact\n", "\n", "def tplot(df=10,m=0,s=0.004):\n", " print(\"Degrees of Freedom = \",round(df,2))\n", " print(\"Location = \",round(100*m,3),\"centimeters\")\n", " print(\"Scale = \",round(100*s,3),\"centimeters\")\n", "\n", " # histogram\n", " fig = plt.figure(figsize=(12,5))\n", " ax1 = fig.add_subplot(121)\n", " e.hist(bins = round((0.5*e.size)**0.5),normed=1,alpha=0.6,ax=ax1)\n", " plt.yscale('log')\n", "\n", " # plot pdf\n", " lnspc = np.linspace(plt.xlim()[0], plt.xlim()[1], len(e))\n", " pdf_g = dist.pdf(lnspc, df, m, s) # now get theoretical values in our interval \n", " ax1.plot(lnspc, pdf_g, label=\"Norm\",lw=3) # plot it\n", " plt.title('Distribution fit to empirical data')\n", " print(plt.ylim())\n", "\n", " # qq plot\n", " ax2 = fig.add_subplot(122)\n", " sm.qqplot(e,dist,distargs=(df,),loc=m,scale=s,ax=ax2,line='q');\n", " plt.title('Quantile-Quantile plot of level differences')\n", "\n", " plt.tight_layout()\n", "\n", "tplot(df,m,s)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Summary\n", "\n", "To summarize, the difference in lake level measurements at the two locations, Fort Frances and Bears Pass, is described by the difference equation\n", "\n", "$$d(k) = 0.00481 \\frac{1 - 0.4285B - 0.335B^2}{1 - 1.0689B + 0.0944B^2} e(k)$$\n", "\n", "where $B$ is the backwards difference operator, and $e(k)$ is an i.i.d. disturbance with a distribution similar to a Student's t distribution with $\\nu$ = 4.1 degrees of freedom" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The availability of two sensors provides an opportunity to estimate the distribution of the level measurement noise. \n", "\n", "We assume the measurement data at the two locations is given by\n", "\n", "\\begin{align*}\n", "y_1(k) & = h_1(k) + e_1(k) \\\\\n", "y_2(k) & = h_2(k) + e_2(k)\n", "\\end{align*}\n", "\n", "where $e_1(k)$ and $e_2(k)$ are the measurement errors on day $k$. \n", "\n", "Although the sensors are located on the same body of water, they are approximately 27 km apart therefore introducing the possibility of sustained differences due to hydrology, persistent wind or water flow patterns, or systematic measurement bias. For those reasons, we model the difference as w\n", "\n", "\\begin{align*}\n", "d(k) & = y_2(k) - y_1(k) \\\\\n", "& = \\underbrace{h_2(k)-h_1(k)}_{\\delta(k)} + \\underbrace{e_2(k)-e_1(k)}_{\\epsilon(k)}\n", "\\end{align*}\n", "\n", "where we will assume $\\delta(k) = h_2(k)-h_1(k)$ is a random variate associated with the dynamics of lake level, and $\\epsilon(k) = e_2(k)-e_1(k)$ is a difference in measurement errors." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The presence of significant autocorrelation suggests an auto-regressive (AR) or an auto-regressive-moving-average (ARMA) model of the form\n", "\n", "$$d(k+1) = \\alpha d(k) + w(k)$$\n", "\n", "\\begin{align*}\n", "d(k) & = y_2(k) - y_1(k) \\\\\n", "& = \\underbrace{h_2(k)-h_1(k)}_{\\delta(k)} + \\underbrace{e_2(k)-e_1(k)}_{\\epsilon(k)}\n", "\\end{align*}" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$$\\delta(k+1) = \\alpha\\delta(k) + w(k)$$\n", "\n", "Then \n", "\n", "\\begin{align*}\n", "d(k+1) & = \\delta(k+1) + e_2(k+1) - e_1(k+1)\\\\\n", "& = \\alpha\\delta(k) + w(k) + e_2(k+1) - e_1(k+1) \\\\\n", "& = \\alpha(d(k) - e_2(k) + e_1(k)) + w(k) + e_2(k+1) - e_1(k+1) \\\\\n", "& = \\alpha d(k) + [e_2(k+1)-\\alpha e_2(k)] - [e_1(k+1)-\\alpha e_1(k)] + w(k)\n", "\\end{align*}\n", "\n", "$$d(k) = \\delta(k) + e_2(k) - e_1(k)$$" ] }, { "cell_type": "code", "execution_count": 175, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "5.77879983669e-20 0.00808277400447\n" ] }, { "data": { "image/png": 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HEREREYlFPY4iIiIiEosSRxERERGJRes45li48ON+PW5fVVXFsGF1LFq0BN3C0DnFKj7F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\nNduYDVVHxDRgbj+nuoE2iupgryzbPg24r+Ea84E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xcZQkSVIlDlVLkiSpEhNHSZIkVWLi\nKEmSpEpMHCVJklSJiaMkSZIqMXGUJElSJSaOkiRJquT/AE/LlTneku9OAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import statsmodels.api as sm\n", "import scipy.stats as stats\n", "\n", "m,s = stats.norm.fit(e) # get mean and standard deviation \n", "\n", "sm.qqplot(dR,stats.norm,loc=m,scale=s);\n", "plt.title('Quantile-Quantile plot of level differences')\n", "print(m,s)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$$d(k+1) = \\delta(k+1) + e_2(k+1)-e_1(k+1)$$\n", "$$d(k) = \\delta(k) + e_2(k)-e_1(k)$$\n", "\n" ] }, { "cell_type": "code", "execution_count": 44, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Mean = 0.16 centimeters\n", "Standard Deviation = 1.16 centimeters\n" ] }, { "data": { "image/png": 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d3sUgWAkRdu2AU9cS8fBZlryDFQhN+8/GIzZR5nUrAHtPxyEzt6j8CmDhzsDm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hHef/99zJ49G9bW1uznL1++hImJicyyJiYmKC4uVnjdublFVLNbCz6fB2trIfLziyCR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\nyLpw0DktUKfHvAFzeAU8udWHm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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "dR = BP - WSC_LEVELS[ff]\n", "dR = dR[dR.notnull()]\n", "\n", "# Statistics\n", "mu = dR.mean();\n", "sigma = dR.std();\n", "print('Mean = ', round(100*mu,2), 'centimeters')\n", "print('Standard Deviation = ', round(100*sigma,2), 'centimeters')\n", "\n", "# Time series plot of the differences between sensors\n", "plt.figure(figsize=(10,6))\n", "plt.subplot(2,1,1)\n", "dR.plot(lw=1)\n", "plt.title('Level Difference: Fort Frances - Bear''s Pass')\n", "\n", "# Compare empirical and fitted distributions\n", "plt.subplot(2,1,2)\n", "dR.hist(bins = round((0.5*dR.size)**0.5),normed=1,alpha=0.6)\n", "plt.title('Histogram of Level Differences: Fort Frances - Bear''s Pass')\n", "ax = plt.axis()\n", "r = np.linspace(ax[0],ax[1],100)\n", "p = [np.exp(-0.5*((x-mu)/sigma)**2)/(sigma*(2*np.pi)**0.5) for x in r]\n", "plt.plot(r,p,linewidth=3)\n", "\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This distribution is clearly has a narrower central distribution and somewhat longer tails than expressed by a fitted Normal distribution. This is verified by a QQ plot as shown in the next cell." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We will assume the measurement errors have identical statistics, but that there may be a systematic error such that difference $e_2(k)-e_1(k)$ is not necessarily zero-mean. The measureme\n", "\n", "\\begin{align*}\n", "e_1(k+1) & = a e_1(k) + \\epsilon_1(k) \\\\\n", "e_2(k+1) & = a e_2(k) + \\epsilon_2(k) + \\delta\n", "\\end{align*}\n", "\n", "w\n", "\n", "\n", "\\begin{align*}\n", "d(k) & = y_2(k) - y_1(k) \\\\\n", "\\end{align*}" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python [default]", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.5.2" } }, "nbformat": 4, "nbformat_minor": 1 }