diff --git a/PandaTraffic.ipynb b/PandaTraffic.ipynb new file mode 100644 index 0000000..6d50b89 --- /dev/null +++ b/PandaTraffic.ipynb @@ -0,0 +1,245 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "from cars2 import Car, Simulator, Road\n", + "import numpy as np\n", + "from matplotlib import pyplot as plt\n", + "import random as random\n", + "import seaborn\n", + "%matplotlib inline\n", + "import pandas as pd" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "def random_car():\n", + " num = random.random()\n", + " if num < .1:\n", + " return Car(target_speed=39, inc=5, chance=.05) # aggressive\n", + " if .1 < num < .25:\n", + " return Car(target_speed=28, min_mult=2, inc=1.5, length=25) # commercial\n", + " else:\n", + " return Car() # normal" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "mods = [1, 1.4, 1, 2, 1, 1.2, 1]\n", + "km = 7\n", + "time = 60\n", + "road = Road(km, mods)\n", + "cars = [random_car() for _ in range(km*30)]" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "sim = Simulator(cars, road, 1)" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "data = {}\n", + "index = [car.target_speed for car in cars]\n", + "for idx in range(100):\n", + " shist = sim.loop(time)\n", + " data[idx] = shist # list (ave_speed, std_dev_speed) for that run\n", + " sim.reset()\n", + "frame = pd.DataFrame(data)" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "speeds = frame.applymap(sum)" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "speeds[100] = sum(speeds[i] for i in range(100))/100\n", + "speeds[101] = pd.Series(range(100))" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 8, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "speeds.plot(kind=\"scatter\", x=101, y=100)\n", + "# Average of speeds across all samples by second" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "mean:37.3m/s, or 134km/h, standard deviation: 0.0545km/s\n" + ] + } + ], + "source": [ + "print(\"mean:{}m/s, or {}km/h, standard deviation: {}km/s\".format(round(speeds[100].mean(), 2), int(speeds[100].mean()*3.6), round(speeds[100].std()*3.6, 4)))" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "sim.loop(3600)\n", + "shist = sim.loop(240)\n", + "hist = sim.history\n", + "frame = pd.DataFrame(hist)" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 11, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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U7xoeHjHe/8orL8KpU0W85z0zsG7dYnR2+vmu51qu7Dj+s69//Rq89tpI/eeB\ngSKKxTI+8IE3Y/3696KzswMTJ3YCAObPnyltg1jHH//xG7VtvfLKi3Ds2Gm8/PJreNObzsMjj/Sg\nv/+3OP/8ibjuuovxjnecj9/85jVMnJjB449/FOedN8FLH4bpR9YHbCyoytF9/sorQxgeLmHq1Cym\nT+/CBz9Y6+Og/uJ1001vw09+8itMn96Fvr4e5Stb1TWWjQGTa8b0qU+9C9u3v4Dzz5+I7dtvxPBw\nOfCYqO6JVkocD6J05xx0bVQyufZR9DVf5tatS/Hv//5rTJ/ehe3bb0S1WuPDvvCFRcpzVN0fJuPS\n5L4KetbY9IeP54PptVe195VXhpqewTZq1f02cWIn0umOdVHWQcwJJxPmJEqPLwrWhAfQRPhVtnZD\nNjsB+fxOFIslrTdsk2kCAO95zwwcOPA7zJ07A6lUCnv3HsWJE0OYOXMSHnnkRiVPYSsf12fq1EkY\nGirhllselZZjy5qsWbPImDUYGirhjjuewN69x7Bw4SztukJBa3G4siaMd0inU/jhD/8U69Y9oT1m\nPHImvGxzLcTtSV8/RyxTZE0Ya7Rp01J0dWWsWIuksSY++k72jDStw8f6OUm434g5SaCi9PiiYk2Y\nTNbPyed3YsuWA9qyXDJNGF8i1j8wcEbLU9jK1/XJ53dae8kq1mTPnmPGrMHatbtw//1jPrRuXSFd\ndoRqu+36Od3d38bJk3rWZDz73irZ8A9JXz9HLFPFmmSzGWzevDSwDUlmTXz0newZaVpH0D1rorPl\nfmv/d64kEolEIpHGlejNiaWinEvuWrYuC8DE1uHV27sEAOqvLIPKl7WV/W5q6+iyO2zl6/rUsl5K\n0nJ02Q4s10Rn6wS1v1Sq1G0d3f6ya6xrm+ocRLFsDZmto2tHULnjSSbZFUxJXz9HLEdl67BnQ1Ab\ngs7dZIyajmOT7a77qiR7RprWEXTPmuhsud+IOeGkYk6i9vh8sSaAev0cWaaJrKxabHwthM2FNeEz\nTR566IP4yleexpNPHgU/zlKpFBYtutB5DQmTvnAtd2iohHvuqfWbaZ7DyZPD+NCHvo9jx4bw/ve/\nEV1dmbZZP4cvV1w/Z9KkxkA+VTvGI2fCKyj7h1dU6+eIZfvoc7G84eESenr6RjOIZiKbzTTUY8pi\n+Vg/J+h848o0kZXBPyNNyh8vnAkvYk4Soqg9Pl+sCRC8fo7KyxbLWr9+sRNrwmeaiNkYvA4fPuW8\nhoRMUWS/k/uJAAAgAElEQVSamOY59PT04dChGlPz0EPP1bePl/Vz2DpLqnYEndt4kWk/RrF+jmn9\nNhLL49vLZxCJTFoc6+foPg/aZnKuPjJN+PuCOBP/IuaERCKRSCRSokRvThQSX88y+fL4XMuXHVcu\nV1Aq1VJXP/GJHPbtO465c2dgzpwLsGPHyyiXK1i27FL8/Oe/a/CyZWWl0x0olSrI5/vrn5VKFZTL\njZ+xtjI74Mknj6JSqeJtb5uCEydO4/TpEqZM6US1WsHrr48glaq9AXzjG89DJtOBRYsuDN2Xvq6R\nWE42W7stVq9e0LC9VKrgk5/8w7pl8/nP78Tu3UcxMlLBeedlMDxcwUUXnYNMprb2jBj5LhN7pV8q\nVXDJJVOQTndIGRy+Dfw1XrhwVr09+Xx/vY0Amq6jrB2s/kqlio985G149NFfY/r0iVi48EJMnpxV\nvr7m+2I8+95DQyXceWfNxtD1Y9D1kfWRybWP4jkktvWpp46hv/83qFarmDJlAmbM6MKCBbPqtg5v\nZ6xbd0UTizUWHVDCpZdOBYC6LSSOS74vVPdVPt+vPF+b8eej72RlMFvn1KnTyvLFqdm7dh1psstc\n6rZtfzuLvpwo1C5WTm/vVcjn++uf5XLTUCicRKFwElOmZDEwUMTAQBHpdEfT62JZWXfeuatpmhxf\nvtjWfL6/afrslClZlEpV/OpXr3Gf1piTCRPSiZs2LJazdet1AMZyLfjty5dfVu8T8bwB4KWXfl//\neePG/YFt4l/p53LTjF7p89eYbw/fRsB+2vDx40P18XLVVRfVp43yX05kfTGepbP5VPvJro9MJtc+\n6mnDudy0pmUkbrrpkqZ73GYqLwBcccUbpONSZXfIxnFQXUHjLworp7f3qjqDdMst6vL58+DtMtYv\nrnWfTSJbh0QikUgkUqJEb04Uinq6VhTThoHGGQL8lECZVSAry3QqMf97uVzBk08eBQBcfvmFWLly\nHpYt245SqYIUx3OrLAtX+bpGLlMV+WnD1Sowb95MdHZ2oFoFUikY2x1s2i772aSNNtMzVeckq9/E\nhjpbpjEyrVu3uMnmU+3HZDp12OTaRz1teNWqBVi/fjd27z6KVApYuLDZbmW/y2ap8Ntl02NNx6XJ\n/ibbXfd1KSPMdOqwdZ8NoqnEnEZGylWT6YJhFEdEvem0YVlZQVOJ+TL4acOPPHIjANQ9dNmXkiRF\n1OvK0E2Z9BFRD9hPH40qoh5o/lLCTx0FzKbQjjfx/crHtqv2adeIetW0YVn9fIx/UiPqo3422EQN\nAGb3YhTnELVoKnEL1E6siczrdZk2LCtLNZWYL4OfNsz+0Mni8QH9FElbReUl81JNmeSn3DLZRtQD\n7tNHZe0JG1EvTvkOuxT9eBB/znxsu2qfdo6ol00bDqrfZUq7rlyb+mTbbffTyXRacFDUAGB2L9rU\nfzaJmBMSiUQikUiJEr05EdSOrInO1rFhKIBGXznIUy0Wy3Vbh3nmOlvHl6L2kgF1fD3PmrhG1AP2\nrElUEfVAMGtyNnrf/Hnyse2qfdo1ol41vdWG/UhSRH0cnImKQXK9F23qP5tEzAmnm2/eURV9RF9y\n8RGDosh18KuMYTDxRE14Cx5+XbNmEe6+e3c954R9KUlqRL2Jty3zlBmjUa1WMWfOdDz77Cvo7p5R\nzzTxyZnw7TSNAneNqFe1Xeetj1ep+pBnLcT92pE1+ehHf4jjx4dw/fUXY8OGq4xj4flngykDFYY1\nsemLKJ8N4uezZ08G0MzejHfOhBcxJzFry5YD2iyDMHLxEYPYEN7r5T1kFcNg6oma8hYy1oJXEiPq\nbbxtfizwjAaLqhfP2xdnImsnX4cJM2QbUW/aD+NZLlxDO7MmDzxwaPRNqXksvPhsEPfzyZrY9EWU\nzwZVDpJsG0CciS8Rc0IikUgkEilRojcnnFasmKPNMggjFx9Rx4YAdpkmQW0QPXYdb2Fj6/j0TONg\nTVSeMmM0dLZOkEw5E75tptkRJn3D8w6irWPaD+NZLlxDO7ImvK2jew7oWCxbBsqFNbHpiyifDa5t\nJM4knIg54TQyUq6KWQZhFEWmCTD2QBweLmHfvuNIpVKhOBN+P1nQ0smTw7jhhu83+NTDw6X6Z9de\n+0YAKezY8at65km7ZJrI9uFzLU6eHMaHPvR9HD16GjNndmHx4tmRZ5oA5tkRJudmkmkS1A/jWUF9\nKMt7MWVNTK59VLyBL9aEbb/nnr0olSooFkuJYE3iyDRRMUgilwfYsybtxpmIz4bJk7PEnLSroso0\nEX1uIDxnIss54ctmWQjMp96160j9swcffK6+L8s8aadME3EfPteip6evzpgMDp7Bc88NxJJpYpod\nYXJurpkmqnyP8aYoWROTax8Vb+CTNbHN24mDNYkz00TcJmNvfDCFSZb4bLjvvmsjrY+YExKJRCKR\nSIkSvTmJUK4+oilrIto6tm2QbZPZOn19PQ22zrp1i7W2Trtlmoif87kWfX09gbZOkKJcP8fk3Fwz\nTVT5HuNNUbImrVo/RywrLGvCGCTR1gk6PkrWJOpng26bisuzaUu7cSZxPxuIOeHkizmJev0cX5km\nsv3YHP4XX3wVPT19TSFN7EvJsWO1P9Zz587EM8+cQEeHmntxUVg/Noxvnc1OwG23/Tv6+39dD1qb\nP3+mVaYJ0B7r5+j6Ssz3GE+yGR983gtg3/dxsiYit7R27S786Ee/xKxZXfjBD5pZMFPmYtWqBfjq\nV2vjh+Xe2PIaPtbP8dVnYVgY0/XHbOpNqnTPBso5aUNFxZow+cw0Uc3h571yfu0NnjVhDAZTkliT\nML51Pr8T3/zmfzbsx/eBaXvaZf2cdvO+fchlfLB/Kdv2fZysiYqLUbFgpswFXxbLvbHlNWy5lihz\nYHywMEHrj9nUm1S1sr3EnJBIJBKJREqU6M1JBIqCNdHZOrZtMPF+mVdua+v4Ulg/Noxv3du7BKVS\nRWvrmKhd1s9pN+/bh2zGh8laKqJaxZqIXAxv68jaYTq2RFvH5lhTPsqWDQvTZ2FYGNP1x2zqTapa\n2V5iTjiFYU58cib85+wPFlD747Vv3wksXDgLd98dvDaHLotBVW+l0oH3ve87OHLkdD0PAQBuv/1n\n2L79JUyfPhHd3TPx85+fQLUKr+vntCLThN+HXz8nNZomF5QLIiv7jjuewN69x7TXiW+Hz/Vz+POo\nfbGchWw2bXz9eY1H5sSFRdqwYQnWrn0CxWIp8JjkrZ/zZmzYcKV1ponsGcJyb/i8FxNeIymsia/M\nlWx2AvL5nYHjwWfb45ZJ9g8xJ20in5yJ7HNehcJJpNPBa3PoshhU9V5zzXfxi1/UjmF5CLWfCwBq\n3vXzz49xJj7Xz2lFpgm/D88JMAXlgsjKvv/+sTVUVNdJ1g6+DtdME/E8eFbmbOdMADfWZM+eozh4\n8FWjY5K3fk4B2WzaOdOEf4aw3BufmSYm2033CZKvzJV8fie2bDlg3JZ2vNeS0GZiTkgkEolEIiVK\n9ObEk3xyJvzPKlvHxJPVZTGo6n3ssY812DpsW7FYVto6UfjlrmWG8a359XNUto5J/aVSpW7rmPAu\nPtfP4c9DtHVkdZue13iRC4sk2jq6Y5K3fs6bra+96hnCsi1seY2ksCZhOBP+Z9YPQePBpPykKglt\nJuaEkwtzEuX6OevX78bu3UeRStW+BLjyC0Ft5RmF9773DZg4MVOH3tqBNQm7Foe4fs4VV1yETKYD\n5XLFuD2tXj+H5x3ERf1c1i0Bxg9zYnPOsusjCyYUj2k1a1IuVzA8XMKOHS9L17ey4TpUzxAVaxHV\n+jlJ4kz4z4PGg8/2xynbZwMxJwlXVJkmIi9y6NApZ34hqK0yRoFlOrQDaxIm0wSQr5/DK6pME5/r\n54i8g6r9SfCS45bNOeuuD7/elHhMElgTJlmmiQvXIe6rYi18sRxB7WklZyL7XDUefLY/TiWtvcSc\nkEgkEolESpTozUlI+WRNRK9XtHVc+YWgtvKMgmjrtANr4sIRiOevs3VM1Or1c3jeQbR1VPW3i/8d\nVjbnLLs+Qa/xk8CaiLaOOAZtuA7VM0TFWvhiOVTt0e0TJJ9tYz+b2jrtdq8lrb3EnHAyZU7CeIlB\nTAELWNNlVIhl6TgTXZ133PFE/cvPwoU1hmT27Mn4zW9ew3ve820AwI4dH8bmzT/Hnj1HvbImcXEm\nun1PnhzGBz/4Pfzyl7/HxRefh3/+5xuwceN+44cPKyMsawI0r9cSd6aJTO3OnLiySEDj9WDrTYn9\nYMKatGumiWwcspwT1g9RrJ8T5do5YTgT/nPdfdFunAng1mZiThKqMN5cEFPAZxSoMipUZan2VdXJ\n8jiAGtOSyXRg69br0N397XobrrzyQYyMVOr7+WJN4uJMdPv29PTV+ZLnnhtoyjQJ8pRZGWFZE6B5\nvRbKNAkvVxYJaLwebL0p2XFBrEm7ZpqwffntLOdEV3bYTBNf/WXbNteMFpN6k66ktpmYExKJRCKR\nSIkSvTlxUBhvLogpUNk6urJ0nImuzlKp0mDrsG379n1Ka+v48CPj4kx0+/b19YS2dXyxJuJ+pudH\nmSZqhWWRTI4LYk2i5EyA6DJNZOOQMSe6sm3qi7K/bNvmwqaY1pt0JbXNxJxwCmJOolo/B7BnTVy9\n7kZGYWxBv9qaGa/hfe97CNVqFddeezHS6RSeeup4fVE/FU9hI9+8ju2+7PzL5ZpVlUqlmvo7iLVo\n9fo5JpkmPrzvdmROwmaayI7j+yEpmSalUgVPPXUcAHD55Y0ZSLYZIqZ5O6wfZGvrJIE1iSLTRHaM\neF+cLZwJL2JOEiafmSbi57asiavXrWMUeOZi27bDDeXpeAob+eZ1bPeVrZ8T1N+yslu5fo5JpklS\nfeSo5SvTJOnr5/A6fLgxA8k2Q8Q0b0fVjqSwJlFmmrg8a5KsdmgzMSckEolEIpESJXpzYiFXb87E\nw7RlTVy97kZGYczWAYDHH/+o1tbxId+8ju2+7PxVto5pO1q5fg5//VWZJkn1kaOW6xjRcUDiMUnI\nNBFtHdtrb8OamPAZSWBNXLgRH6xJO95r7dBmYk44yZiTpGSasPJcWBNVpklXV6a+rsyxY0N4//vf\niHPOmYDdu4+gXK6eFZkmsjJVrIVppgnfDtmXEluPmy9Tx5r49r7biTmJgjVhmjp1EoaGSvjc537S\nMtaEXfc5cy7AM8/8TsqB+Vg/R8dg3HNPrZ9Wr17gZf2cduJMeLHxcMstj4Zqe9zyOTaJOUmAkpJp\nwspzYU1UmSa9vVc1rCvz0EPPNZR1NmWa+Fw/R9YOXq4edxBr0g4+clSKmjXJ53e2lDWRXfco1s8x\nYTCKxZKX9XPamTPJ53e23b3Wbs8HYk5IJBKJRCIlSvTmJEC+GQlXzoQd68KaMEZClmnC1pVR2To+\n/Miw/qYv1kRn65jINNOEL9NlrSNX1qQdfOSoFDVr0tu7BKdPn2kZa8Kuu2jr2NYdNC51P2eztT8X\nbN2toDrHM2dSy0EqGe2bFLXb84GYE048cxJVpgmD2fbtO6HMqBDLc8lVAFDP4ujunol0OtXgL4us\nSWdnB55+uga/XnHFRfjCFxa1lDWxPdYHa8IkshZRrZ9jep5B6+dElbOQdOYkzBgxYU3YMV/84m7s\n2vVbdHfPjG39HFZuEGtiu36QC2vCPmdr68hyTkz7I2lr59i2ScXeJFlRjE9iTlqoKDNNmFQZFWJ5\nLl43gIYsDrEeHWvyi1+cRLlcaSlrYntsElgTHcsAuLMmQevntJuX7EthxohNrgk75uDBV2NbP4eV\nG8SamNbtgzVha+uEYUl89ZVt1oqvNqnYmySrXZ8PxJyQSCQSiURKlOjNiUKu/lyQh6mzdVTlueYq\nsCwO0dYBmlkTma0TVr55HZf942RNTFkGW587aP2cdvOSfSnMGLHJNUmnO+q2TlTshKruINbEtO4w\nrAkTW1snDEviq69k5bjWa8srydibJKtdnw/EnHAaHCxWXeeu6zxb5ht3d89AOl17WZVKQcuamHAO\nMs5k7dpdKJUqKJer2LfveAOnMjRUwu2392P79l9i+vSJWLjwQgDVhqC1t7zlfADunEGcnInqmJMn\nh3HDDd/H8eOnMWNGF+bPnxXI9vBiOQaf/exPQq2fA7RPpomqH4BkMSdhWSRAfk1E8fffzp0fx/nn\nT2zqh6gzTbq7Z6BaBfbvP9EwBm05E8B8/RzduWWzE5DP70SxWLJiTcYDZ8LvO3v2ZADJui9ERf18\nIOYkZoWZu67zbFXZFLp6TDgHmY8s41qYT7527S488MAhAMDAQBHPPz/QVOezzy7XnWag4uRMVMf0\n9PTV2YyBgTN15sSm3Hx+Z+j1cwDKNPGtsCwSIL8movj775prvotnnvl06LaYSHXd+THowpn4WD8n\nn9+JLVsOKOv1kR+iUxI4EwDYuvU6p/bHqfHwfCDmhEQikUgkUqJEb044hZm7rvNsmW+ssnVkMuEc\nVHWKtg7vyRaLJa2tE1ZxciaqY/r6erS2jol6e5fg9dfPhF4/J+jcTFgjyjQZky8WKeh4/v577LGP\neWmLicTnBW/r2F77IMbGlsNgzAmzdXT1RcFEtZIzMd03KWrHNosi5oTTzTfvqNrOXdf5oOyPVSoF\njIxUmrxjWVksmyRovzCZJl1dmfrCYWJugitn4DsXxuUYl0wTWdks12LevJmJYk1U5UalJDEncWWa\nyDKFxH6Iws/nGZdvf/tafOpTOwAgVKaJ6txt2RD2eTabGf0H3BlpXWG4DpV8rp1j0ybdfkm6L3jF\nwaExEXMSs7ZsOWA9d93EB+Wl4xfWrt1lxDn4zDQBgteJMZHvXBiXY3xkmoi5FkliTVTlng2KK9Ok\nVevn8IzLlVc+iJGRSv3zMJkmNqyJ6efr14/9SzzqTBMXjsVHm9qR2WjHNutEzAmJRCKRSKREid6c\ncFqxYo7R3HXxtSnTqlUL8PnP78STTx7FJZdMAYC6rVOtAh0dKVx+efN6NXw8+Z/92SU4cOCVJs5B\nrJP50sPDJVQqVUyePAGpFHDddRdjwoQ0UilgeLiEK6/8LkqlCs47L4OhoTK6utJIpVK44IIupNMp\npNMdzqyJqh9MPE52bKlUwSc/+YdGPIjqmDE7ZxDpNFCpAOed14kdOz6Mb3zjWaM28dfgz//8D7F/\n/3HMmyfPtWDtKBZLuPTSqQCA97xnOg4ceAXlcgVr1oxlxKxbtzjwXHl7aGiohClTJgAA3v/+N9Vf\nzZZKtX9Jm/bVeJDL+OL7+hOfyGHfvuOYO3cGFi6cpew3Zuew+7ajI9Ww/pSsbB/Xgbdx58yZjlKp\njF/96jVcdNE5yGRqdt62bdcjn+836gNxXHZ0pLBt2/V1a3PVqgXI5/ub2q86L/HzSZMm1G2doGNM\n2hvUN2L5rP2ysoPqNb12vq9x1PLV37Z1bdq0FJ2dae918KIvJ5w2b15q5COqXp/l8/3118IyLV9+\nWeC04Y6OlNG04XS6A4XCyaZX/5MmdY5O+5O35fe/rwG/g4MjyvaYyte0YdN2qI659tp/aZouPDg4\ngm9841njNvHXoLOzA88882nlWJDZOR0dqfr1EK2gfL5fe64qe+jccyfUr6VtX40HhbX8crlp9Wui\n6zfezgHUfewyZoPaytuxU6ZkMTJSwUsv/R653DT09y9ruPaA3ZRXANi4cX/D80nWftPPN29eCgAo\nFs8o+8KmvTrJyteVHVSv6bXzfY2jVpxWDl9XNpvBffddG1ldANk6JBKJRCKREiZ6c+Kgdpk2XCpV\nsGfPUVSrwLx5M5FKAU8/fRzVKrBoUfNra1slYdow0BhR/8Y3notFi2Y3RbwHyWTqqFg3P0vHJa5e\nVh4/q4umDYcbIzYR9a5LRIQRu0fZ7LyVK+dh2bLtAMaeAy5TXsNE1JtOAW6nacM27Wq3ey3O9vLl\ns2nlUYqmEnMaGSlXdbaObgor+8O2bdv1+PKXnzaaDmw7bZg9bEulClKjk7jEhxA/pbharWL//hPo\n7p4BINUUZy9T0DS5uOPpVccNDZXwd3/Xjx/96CUAY3yGaUQ9K1d2DWR9YDtt2OR8kzRtWKZWTZls\nRUS9bomIe+6pfcGxjRnQtVd2n7IxaNp+VlbQlGmb6bhBU2iHhkoQl/hIYjy97314JWEqcVzThlX1\n0FTihEk3hZXxCvz0Vd/ThsVpgTLJphSLP6umSJrIF2dic6xquvZ3vnOo/pk4RdqUT4gqol7VbrFM\nmjbcrDDThplsI+pNloiwjRnQtVd1n7K3rS6ciWrKtM103KC+ly3x4Yt7sG2P6dR8H/skTXG1uZV9\nQ8wJiUQikUikRInenFhIxzyobB2df837zSY+t4mtw8rU2Tq+veCoj1X5z8PDJaWtY1quyTXg6zWN\nqFe1W9yui6jXHTueZTtOTFkEUaasVzZbe0yaxAyYiB93oq1je+1NGBubn4P6XrbER1I5E5/7JE1x\ntbmVfUPMCScZc2LCmfT19WDixEwgQxKGM2E/33337qZ4bVYuD792dnYoI+p1UvmpccbT6449cuQ1\nXH31gzh9uoQbbngzzj13ghVnwsrVXQe+D3yzJnx54pIGujJboTi99bDLGISNqNeVvWnTUnR1ZUL1\nA5+fwf5hEeb6RxVRL6tbFl/fKs4kqK2m+4Rpf7uwWFHWRcxJAmTCmfT09GHx4tmB/EJYzoT/mWdH\n+HIB4PDhU01lho2o98mLhKmzxvTU1vZ4+OEXGva3aVOrWBNZeS6swXhT2EyTKCPqs9lMPePDVbpx\nFAVrYsOZ6D6XbVu/fnHLOJOgtpruQ5xJcupSiZgTEolEIpFIiRK9OQmQCWfCbJ0gfiEMZ8J+5m0d\n3pcVM01ktk4U/RDVcapjH3/8o0pbx6bcVrEmfHmyTBPVceNdLuPEhLeQHWObaeIj04FnwmS2jm/W\nxJU5kdXNfudtnVZxJibbfZWRNMXZ5iT0DzEnnHjmROWF8qzCmjWLsH797kDOhPeadXxE3JkmMsl4\nC74PTBTWG9WxJq+/PoI3vek8XHHFG5TMjkomuRZAY56DKWti6nGLX0rWrFlkxEq0QlF76z7GV5Ss\nCSvPtR9k9/6qVQsanhm211/FQLkyJTY5IrNnT5bmnLioXTJNZEo6ixVHXcSctFAqL5RnFfbsOdbA\ngKg4E5nXPJ4zTcL6lUGsyQsvDOKFFwa1rIhMJrkWTGKeAy9bz162HWgeQ7LjxrN8jK8oWRObNgW1\nk0nkxmyvf9DzJErWZOvW66Q5Jy6iTBMznW2cCS9iTkgkEolEIiVK9OZEIZUXyrMKoq2j8zZFWyeo\nznbONAnrV+pYE97WsS3bJNeCieU5mLImph53kK1zNsnH+Ery+jmyez/I1jEts1Xr58hyTlxky5r4\n4ExM90mSzjbOhBcxJ5wGB4tVmZ/qmmliy5qIC8mJmSYAlFkJYVkTJtX6GSbyzZoMD5dwww3fx/Hj\np3H++RORyXTg8ssvtGJNTLNl+PrZtM5yuaLlTILOuZ0yTWSKyltPGmtikukAmPdD0lkT2wwQAE05\nJy6KgjMx2c83t5FUFivO+og5iVkqP9U108SFNWGSZZoAUHIQPlkTV1/ZN2uya9eRemYL400OHz5l\nxZpQpknylDTWxLfXnnTWxIWPEnNOXBQFZ2KyX9JYiiDF3d6k9g8xJyQSiUQikRIlenPCSeWnumaa\nAHasic7W4Y81sXXCeIauvrJv1kRl69i2yTbTRGbryNooa7NsG2WaNCpprIlvrz3prIkpHyX+HNbW\niYIzMdkvaSxFkOJub1L7h5gTTmLOicgqDA+XtDkZPjiTe+/dK/1MFd60cuU8LFu2XdkmU8nWz7A5\nDnD3R0WW4K67nsT27S+iUqli1qxJWLx4tnWmiQtrwvr9nHMmoLd3CU6dOu2VNUlypolMPr31ODkT\nwCzTxrRNJv0gaycbTwCQStWA9qDnQlCZYlujYk1k9bmMBx/5KklhTZiSxmLFXdfQUAn33LMXW7Yc\n+Hq1uvKzUbUx2U/HFkrGKvC+sSwnwydnovuMqVA4ib6+FzEwUFS2yVRie0x9ZR9+pY4l+P3vB/Dc\ncwPWmSY+WJNiseSVNaFMk3g4E8As0yaqTBOTjCKT+kzOPSrWxKavTc/BpN1B20zKti0nKWqXTBPu\n2L8CENmXE2JOSCQSiUQiJUr05kQhGasg2jqyY4BwnElYWyfM+QL2vrIPv1JkCWS2jm3ZLqyJzNaR\ntVH83ZQ1oUyT5p9tjjPlTACzTBufXrusnUG2jkuZunb7ZE1s+tr0HEx+Nmmn6X5JZSlUirO9Yepa\nt24xstkMtmw58HXf7eJFzAmnwcFi9bOf/UkDpwBAyy7YeuJi7sKddy5q+kLCBkvUmSau64j48kaj\nYE1M18/h6xf7furUScjnd6JYLIVmTbq7ZyKdTjXlUrSDwnrrYX3tKDJNXNql6gdVHkjj9Z+BTKbD\nmDMxOfco189h5yDb12Y8RJVpYns+UdxvSWCxWlEff+ymTUsxeXKWck7iUj6/s4lTAKBlF2x9WjF3\nYe/eY0p/OupMEx8cgM1xunJ8sSY26+eoWJPRfxXUfw/LmvBKuu/tU5587cSunxOUB8LawcukrqBz\nt+U4bMdsUtfOMdmXOJPo6uOPzWYzuO++a723jxcxJyQSiUQikRIlenPCqbd3CV5//UwTp6BjF2x9\n2nXrGnMXdLYOqzuqTBMfHIAvP9oXa2Kzfo6M+2G2DoC6raNqswlrIto6Z5PC+tpMSV0/R1WOztax\nLVd27q7MifizzTZb2TIvNtfEVzlJUNzt9XVP9vYu8dYmlYg54XTzzTuq7A+SLtPEhx9+552LlGvn\n8OWKD7qoWBMmU3/dF2dy99278eSTR1EuV/DKK8OYOXMSHnnkRqu8FptME7a/jE3QZb0E+fnjhTPh\n5TPXwuX4VrMmTGI/RM2a+Fg/J+h8Xfo5aDyMZ86Elw/mpJ0yTWTXlHJOYhbPGegyTXz44TxrIls7\nR86qAgMAACAASURBVJaV0ErWJA7OBKitoWOb12KTacL2l7EJuqwXUz+flckr6b63T4UdJ8Sa+Fk/\nR/e5uC3KTBPiTORqw0yT+rGUc0IikUgkEumsFL054bRixRyobB1ePvxw0dYRjzWxdeJkTaLiTGS2\njm1ey7p15pkmbH8Zm8D+L7N1gjx84kxqCjtOiDXxs36O7mfx9ygzTYgzkSvONvviTPhrSjknMWtk\npFx98cVXvbEmJpkmfDmyLyS+1s9xXUckykyTH/7wBQwNlXHxxefhhz/8sPV5hVk/R8yT4c+P74Oz\nkTVhCptrYaOoWBMf43fq1EkYGirhllserZcDoGE8AbUvFfv2nTDinmRt9MGahF0/J6gfgMbxELYN\nrqxJ3JwJL1fmpN05k7Vrx3K3Jk2agC1bDkyqVlcORXICoDcnTdLlZESRacKXo+JMfKyfk+RMk+ee\nG3A6LxvWROXnA/pcB2JNzJRU1sTX+M3ndwZyJkwm3JOujUztsH5O2DYE1evC0yRV44Qz4fUVEHNC\nIpFIJBLpbBG9ORGky8mw9WllnIkPW8dFrr5jVKyJaOu4nJcNaxLk54ttlH1GrIlaSWVNfI3fGoNU\naipHZeu43GM+WJOg8/XNmoRtgytrQpxJdHXprqlg66z00FSliDnh9M53/kN13ryZDX6xi0fLr++y\nbdv12Lhxv/ILiehft4o1YZL562G8UdGrLJWq2L37CF5++bXEsSZMqj7g+/LWW+di2bLtqFSqmD9/\nJrLZzLjgTHi55FrYKImZJrJy7rmn1q7VqxcAaO36Oapz87V+jk5BLJbPLJIksiZMtszJeGJN2Bif\nPXsyOjvTtLZOXDp48FUcPPhqg1/s4tHy3MrVVz9U50WYZGyJjF9oFWsi+uthvFEd65Fk1kTWB3xZ\nDz/8fP3aHD58SlnOeFZSORMfbZOVw96ctHL9HPFYl/3Fc4iDNbG9HsSaxF+XBWuCrVuvC9dQAxFz\nQiKRSCQSKVGiNyecLrvsfMybN1Pp15l6tDy3YmrrAEgMa6Ly18PUr7J1ksqayPqA309l65xNSipn\n4qNt/LHZbO0xyWwdoHXr56i22e6v+t1UPttgWr5LOUnQeGJNbMZ4WBFzwmlkpFyV+alAsEfLcyZ9\nfT2YODHT5I3z5fAPJPaHDqh9mfnKV54O9NR1cvEddevK2Er0KdlnP/nJrwAAH/jAm/GlL11l7Yfa\nrp9jy5qo+uBsY02YTHMtbNUurAkrZ9OmpQCAW255tP6l5OmnjyOVAhYtujCWTBPVNt/r5+iUzU5A\nPr+zHlTpmzNxOcdWyIQ5GY+cSVdXpv53Lp1O4eDBV8+vVleeDKjCWePviepBLh6tmI+yePHsJm+c\nL4f3mXl+gWdUXNfPcfEdxWP4dWVspeM8AOA73zmEiRMz1n6o7fo5tqyJqg+INRmTD/+83VgT9uZE\nNp4OHToVS6aJapvp/j4yTfL5nQ3rj/nmTFTHEGcSXV02nElv71UNf+cAPA7gXY7NDhQxJyQSiUQi\nkRIlenMikYtHK+ajTJyY0XrjprZOWC/f1gP3YeuIPiXQbOu4+KG26+cAdqyJqg+INRmTD/+8XVgT\npt7eJQBqs3Vkto5NPUHjMirWxEemCd8PUXAmqmOIM4muLlvOhP2dG7V1rg7bdp2IOeF08807qvyN\nZ+Lj+co0WbOmcSFAW9bE1XcUj5s9ezIA+3Uj+LL4LyWvv34GP/jBS5g0KYPHH/8zzJ59rnWZtqyJ\njE2w8cZnz57ckHMifnncuHG/tJzxJuatHzky6J3jSCJromLN0unaC+bXXz+DffuOI5VKWecO+Vw/\nJ+h8fbImInvT1ZXRjgdfnIlrWXFIx5zE1WafGUP8WJdxJrJ7kHJOYhbvpwJmWQC+Mk327Blbd8eF\nNXH1HcXjwsxf13EeAwNncPXVD+Hw4eXWZdqyJjI2wcYb37r1uoacExUTJJYzXhUFx5FE1iSINeNl\nm8/jypq45H34ZE1E9mbz5qWxcCauZbVacbXZZ8YQk2p8yu5ByjkhkUgkEol01onenHBasWJOg5/K\npPPxfGWaiLaOD+8wyuN0ZaltnY86lWnLmsjYBFtvnM850dk6Z4Oi4DiSyJqoylDZOi5l+1g/R/ez\n+HtY1kTG3sTBmbiW1WrF1eaw9aiOl3EmpvegbxFzwmlkpFw18deDMk3YAn+sDGCMX+H/0KnyUFrB\nmrDjbNeNYGXxXMjnPvduXHvtwzh9uoQbb3wr/uf/XOLkiYZdP8d1zREGxB49Otj0xVNWzniUuKaM\nj/WVADMGopWZJiIXVq3WHtS7dx9BtWq3xpXJedvwFkHn64s1UdUjyzkJOsa2nqRyJrzEZ2S7cyaA\nfLyIf+emTZvYkAW1ZcuBSdXqyiEvJydR8q58i2Xi5QVlmuzde0zJmfD8gioPpRWsSdj1c3gu5Dvf\nOYSRkQoA4KGHnsO5505w8kTDrp8Tds2Rn/70ZSVP1A7+dxjxfVMslrytr2TCQLQy04TJB2tict42\nvEXQ+fpiTVT1yHJOgo6xrYc4k+jq0Y1z2XgR/8719y8Ty/gKgM9an4ihiDkhkUgkEomUKNGbE05/\n/dePYtWqsfUzRG+NveYqlSp461sn45VXhlEuVzA8XMKyZZfixz/+FWbO7KpbAKVSpc6WXHLJFJw4\nMYxrrrkIzz77Ck6cGMa73z0dw8MlXHrpVKRSwMKFZpkJ4utbVXt1x5ZKFXzyk38Yaq0E1h+VShUf\n+cjb8G//9isMDZWQzaZQraaQSqVw441vNS6ft3K6u2fi4x9/e53JkZXBzqVYrPUhAMyfPxPpdAfK\n5Qry+f6m/pH1HbtO1SrwiU/U6ty582Vcdtk0HD36OoAUduz4ML7xjWfr5YxX8ePjM5/5I2QyHQ1r\nytiWA9T6mXnWc+fOwMKFs6Tjjtk5Tz55FJdcMgUdHSnpPeFrDIvlVKs1JoTd3y+//Bq6utL4wAfe\ngp///ETd1jEtl43Ljo5Ugy24atUC5PP99Z+Z+PHJnxvbX3a+4tIKu3YdAeDGRunqBoANGxpzTlyf\nQ6p+l92vSdXQUEl5DaOoy3W8y64RG+OlUgVvf/tUpFKphr9ZxWIZV121De961wWoVqv17fwYnDRp\nArZsObDS+8lyoi8nnLZsOaB9hc2/5poyJYuBgTMYGDiD554bQC43DQMDRQwMFLFx43709l6FfL6/\n6TXaww+/UN9327bD9c+XL78sFkuGP9amTpn4/jh+fAiDgyMAgJGR8mj57wgVUb98+WXaV+iy15RX\nXPEGAOpp4OI1Ea9TLjetfk6/+MXYa85vfOPZtnjFHFZ8n65YMQebNy91yrwRr0063YFC4WT9ugbZ\nOYB6fPoaw2I5QLOdMzJSwbPP/g4HDiw37gfZuGTPBEA+Bpn4bezcZJ/J6uJfzfP1mUrWr3zdbCox\n6wfdedjUA5jFNiRJfNQAEF88ve14l/2tkP1d4v9m3X9/bRt/r4pjcPPmpbjvvmsj400AsnVIJBKJ\nRCIlTPTmhNOKFXO0r7DFacN8zLxshg4/tbZcrmLfvuMN++qi1XUKM43M51Q3sT/uvXcvfvSjlwAk\nP6Ke/1mcetnb+zR27fot5syZjs7OjliXCW+1ZFNHw5ZjOjU/zmnDunLK5crocgsvY9asLjz22Mec\nym23iPqgusXx4HodXMZG0sRHDUTdZt/Pe/7vkum04VZM66apxJxGRspV8dUtP61x7twZ6OysvWwK\niqcHag8LPrtE9aUk7PRfn8cGTSUWp/iuXDkPf/qnj+CXv/w93vSm87B9+4etYr1lZcYRUQ+g6XdW\n5uWXz0YmU+NWkjqd0ad8TyvX9XOrpw7rpq+KX0p+8IMbMW3aRON+cI2oD2pX0P6+pw3rxgO/rEOY\nusLG6rdC/DTasOuPmdYFxDNtWHYP8seIZWzatBSTJ2cpvr6VEqc1itLF0/PbVFOMgXim//qcdslz\nIX19L9an2D7//IB1rLeszDgi6oFmvkB1ndvBAw8j39PKdf3c6qnDJtNXAWBgoBhbRL1pu6KIqLet\nNwxr4avNrZLYL+vXR/cGIe5pw7J7kD9GLCObzeC++661apOtiDkhkUgkEomUKNGbkwDxHpyprcNk\nauvYtEX2c9THiuXwXIho69jGesvKNGFNfETUi7+zMkVbZ7zLp5+cdNZE58GLtk5cEfVB7QraPwxr\nYltvGNbCJx/TCrF2xmHrhB3ruuNlfR90D8rGQdQi5oQTY05E7xiAFGgF5D6tLKJe50Xr5Nt7DDpe\n5a/zUcbbtl2PDRuewvbtL6JaBa6//s340peuaquIemDsJuWvcyoFTJo0IfKHT6tlMi5smBMXnqCV\nrAkwFlE/MlLB008fr2cNie0w4bB8sSasXapz9cFtuPItrn+U25k1kfWLC4sVpj7X4/m+VnEm4rjV\n7cd/NnXqJHR2pok5iVsq7xiQsyOiTyuLqNd50TZtCes9unq7fKaJGOX+ne8cwsSJmbaLqJfxQryi\n9JRbLd+R2y48QStZE0AeUX/o0KnQS0iI7QzDQkURUR+GbwHs74t2Zk183ydR16fqaxVnIo49k/3i\numbEnJBIJBKJREqU6M2JRKJ3XPtZbevw/wfktg5fng1rEqX3aCMx00S0dVzbZsqa6Px8V9bkbLZ1\nfOcWuPAErWZNAEhtHVeWwhdrovpd/MyV23DlW1xtnXZmTXzfJ1HXp+prFWcCQGvr+GiTq4g54TQ4\nWKzecsuj9QfW/v0n0N09E+l0CqkUtKyDCL/y88RtWZO4ORNevJ8qMgF/+7fz8NGP/hDHj5/G9Old\nWLx4tpITCGpflKyJC2fCgoii9pRbKV/8kao8IFmZJro2qjJNZJL1QxBH0Q6ZJqwvVGWJ+8+ePbmp\nH3zVlTTprofv50NUnImq38V7UMZQBrWLmJOYJc7hB+TZJkCzFydmmqjmibNjdUoKZyIyAT/4wVim\nycDAGTz//IC1P8/KjZI1CcOZJN0DD6MoOROmJGWamLQRCJ9pYuvTJyXTBDDnWwBg69brIqsraYqT\ns4iKM2GSjTX+HpQxlD7aFVbEnJBIJBKJREqU6M0JJzaH38TWAZr9Pd7WEX1tG9YkKZyJyATIbJ0k\nsiYunMnZsH5OlJyJCS/BPk/i+jmumSaA3s8Xf1ZtM93fd6aJ6veg/X3XlTTFyVlExZmo+l28B2UM\npY92hRUxJ5z+4i/+tfqzn/1Gy5kAzR6fLGiNbbPxh1vJmjBNnToJr746jCVLvgNgbIHDXbuO4Pjx\nIcyaNQmPPKL254PaJi425ZKBYcqa8F4+qxeAkjXh+wAYP8yJ67hQ9UPSWRPdOCgWS9i79xhOnBjG\n9ddfjA0bgvN5RA5rPGea6M7B5L4Yb5kmMvl4Pvge50GsCfs9KNPEpG1DQyXcc89ebNly4OvV6srP\nWjfcUMkeLTHrm9/8TwB6zgRQe3yif2frDyeFNbnmmu8qM00GB884r59jw9/o2ART1kQ1l1+mpHvg\nYXS2sSam4+CBBw6NzkChTJOgY0xFmSbx1WXDmsh+V10fi/HxVwAi+3JCzAmJRCKRSKREid6ccPrM\nZ/4IOluHScea6GydICWFNXnssY9pbR3X9XMANNk6uv1VbILNz2K9gNzWGc8621gT3TgQbR1XlmK8\nZpqYbDetjzJNoq3LljUBgjNNTNq2bt1iZLMZbNly4OtODTcUMSec3vnOf6i++93TkU53SDNJeH6B\nD2XjM00AO681Ko/dRSdPDuOmm34AAHjggQ94Wz/HB2vie/0cXTvGA3Piiz8CxvqhXVmT22/vx/bt\nv8SMGROxYMEsZLMZa/ZmaKgEloGUdNbEhskKOkbsB0B+X9je50mRy7gL83xoRaaJCWtiwyGtWrUA\nX/3qfmJO4tTBg6/i4MFXGz4L8oxlmSY2XmtUHruLolo/xwdr4urln625JlH45+3KmjzwwCEAtTyT\n554bcKpDloHEl5Ek1sSGyQo6xlS293lSFHeWRysyTXysn6Ool5gTEolEIpFIZ4/ozQmnyy47H6Kt\nw4vnF3hbR9zPxmuNymN3UV9fj9bWCcPBhGVNXL38szXXJAr/vF1Zk2KxJLV1bMRnICWdNbHls4K2\n2dRpep8nRXFyJj7qs+VMZIyUy/o5Yr3M1rE+AQsRc8Lp5pt3VIvFktKn1a2fw7bHxZr44kyAGmvC\nFvX73vc+jJtu+h6OHHk99Po5ph60y/o5/HFsGyBnTVigXtA6Pkztypz4HBPAWD8cOTLoxEwErSkV\n1fo5vlgTVm7tuCtw++07m9qadNYkLGfCS7fGUDuxJmHHne3zoVWZJvy+qutjw5rceuvc0RDOIXz4\nw2/Dt751cFK1unLI+mQMldwR1AJt2XKg/rNJpkkrWROfXinPmrznPd9CsVgBEH79HFMPWrevT9Yk\naB2fdldU/nkYZoKXzzyNoHJ8sCZ8uf39v27g0dqFNYmSM5GVEaasuNRunIlYhk2miYq5c8g0wcMP\nP1/nEL/1rYMA8BUQc0IikUgkEulsEb054bRixRwwW4dJ9NpU6+ew7XGxJj690r6+Hq2tE7UHLfNF\nfbImvK3TDj64q6Lyz12ZiaA1pXy1NyrWhO0rs3VMziEJrEmUnAl/XDuxJu3GmYjHmWaa8Puqro8N\nayKxdVY6nYyhiDnhNDJSroqZDmJ4lwooMvUUk8Ka8PkTc+fOQCqVwt69R/G73w3hwgvPwfe/39O2\n6+ek07VrtH797vrigiasCVO7MSe+WRNW5j331Mb46tULALRHpskddzyBPXuOoloF5s2bic7ODmsO\nQpbpANT6wWVtGsCMNXHhNqLKNJFJXGPojjuecLq/WiVf94ntGkNxcCZRZZrceutcLFu2HZVKFfPn\nz0Qm04FqFTjnnAnYsuUAMSetkMpLBczml5uW2yrWRMyf4HXqVPuvnyPyQcSauJdZLJYAtEemyf33\n/6L+2eHDpxqOcWFN+HFULJac1qYB/DA6QW3lj4mDNWF93S73V5ysSdycSVSZJjxnIt5PIOaERCKR\nSCTS2SR6c6KQ6KUCeltHPC6oXJN9ozieP5blT6hsHde2tXr9HJmtk3QfPIyi8NDXrautnwGM2TpB\ndeiup+/2qsZBqVRR2jouZYu2jkn7XVkTF27D9p4xab9pvaVSpa3urzhZk1ZwJjLWK2ymSYCtQ8xJ\nXBocLFZvueVRAM3hXWFYk6Stn8PgV9mifv39n8D550+04i2SwpoA8kX9os4xaJWiYk1YmZs2LQUA\nsHuiHViTSqWKVCqFyy+/0JqDUHn8mzYtRVdXpinvpVWZJnFyJryy2Qm47bZ/x89+9puzjjPhZbLG\nUJj6wmaamBynuz9ZyOhTTx0DAMyfPwvpdKohr2jq1Eno7EynrE/OQskeWTGLXz9D5vG5siZReewu\n0q2fMzh4Btdc810888ynQ7UtqI1RsiYyJd0Ld1XUrAl7c9JurAlQ88dtOQiVx5/NZrB589LEZJq0\nijPJ53fim9/8TwDEmURZn49ME5e/VarnqSu7FVbEnJBIJBKJREqU6M0JJ7Z+BmBu6zAFsRUm++nk\nyy/lM01kts5jj33MuW2tZk0Aua0zXhUVa8LU27sEwNhsnXZgTXhbx7YOlcfP+sGV4wjy9W0zTVrF\nmfT2LkGpVKnbOu1wb8XJmfiqz5Y1ke3r8reKf57qbJ24RMwJp5tv3lG97ba5iWFNosw02bfvOObM\nuQDPPPM7dHSk0NdXyzWx4S18rZ+jO1dT1sR2/RydksycROGhy8oF0JBzkkTWhPFT1WoVc+ZMx7PP\nvuJ0/YPGZjY7Afn8TojrbsnaBcTLmkTNmbBy7rjjCezbdxyLF78BX/jCokSzJlHdI0y6NYZc6zRZ\nJ4wvWzaOZM9hm0wTFjL65JO1L/npdAoLF14ova+JOYlZW7YcwE9/+nJiWJOoM034n6PONQna1xdr\n0i5euKui8tB1zATL95Ad00rWhOenDh06VW9HGNaEFysjn98pXXdLdWycrEnUnAkrhzE9Bw++inK5\nkuj7K27OxEedunEUlFWiWz/HJtNEVs6hQ6ec1lbzIWJOSCQSiUQiJUr05oTTihVzYGrrMEXJmvjy\nS3kmQGfruLYv7Po5/HaTn2WsCa2f479cVc4Jv18rWRPGT4m2jitrohqbPHuTNNYkas6EHVsqVRps\nnSQrbs7ER52644OySnTr5wS1SyxHZuu06nlKzAmnv/iLf60WiyXnNQmAZGWayFiTp546hmq1Bg0u\nWtTsJwbxFq3ONAHUi/r5yl1IInMSdaaJjJeYPXsyALm3ruIzfLdXLGd4uFT/QtLdXQuFcsm0CWI/\nxLyXrq6MljEAomFNWsWZAI2ZSH19PXjLW84HkKz7glfUrAkTez7ocm9MZcOaqLbZMpEqzgSQZ5rI\njtu0aSkmT84ScxKX2Bx+wG1NAiBZmSYq1oTp8GF7PzEJmSYyb5RYk/BlAo28xNat1xkdI2uPzzHM\nl8Nfe8aZ6NphUm7Qvc5yTnTtAqJhTVrFmQCNmUg9PX149tnlzmXFoXbPNGEyyTgJk2miG4u6TBPx\nnrjvvmsNz9JNxJyQSCQSiURKlOjNCafPfOaPoLJ1+P+LP/OKyl93LUdkTURbx9Wfb1WmCaC2dYg1\n8VemKztkUnaYNgbZOi7lBt3rjDnRtUu1zbQ+k3bGyZkAjZlILkxa3IqbNYn6Wa8bJ2EyTVScCaDP\nNAm6J3yLmBNOfM4J0J6siciZdHbWXo4ND5ewY8fLmDmzC488ciOmTZsoPV7FW7SaNfG9fo5OSWJO\nWsGasDr4fkhSpklcrAn7TMUYAHbrlZi2t1Vr5zCJrAl7ViTpvmCKizPh6wvK/zEpI2ymiWxfvhwT\n1uSuu57E9u0vYfr0iVi4cBay2Yx2XInrTRFzEqNkOSftxpoEcSYDA8XIM01k7aD1c9zUCtakXTJN\neEXBmojluvabzX0jOyautXOYRNbE9lkRp1rJmajyf2zKYHLJNPHFmgwMFPH88wPS41THEHNCIpFI\nJBLprBPZOpze+c5/qL773dORyXQgne7QxgID4aKomXyUwcpZs+YJPPnkUZTLFbzyyjAuuGAiqlXg\n179+DdlsCh0dHZg16xwrW4e1b3i4hH37jqNarfmS2Wxa+eqQtaNaraKjYywCGYD0Fbfsc9YXrN5K\npXGcplIpbTvCqNWvr32NCVW5phbZ1KmTMDRUwuc+9xPp9ZS9/rWxL4LaV60C5XIV+/YdxzvfOQ3/\n9m8vY2iojDe+8VwsXHghOjs7jOthZReLJTz11HF0dKSwbdv12LhxPwB9BDiLr3/99TP1dvH/1z0X\nbr11LpYt245KpRo4XmV9aPoaP+w44a2cb3/7WnzqUzsAJNPWier+MK3vq1+tjRlbW0d3/5XLFezb\ndwLd3TOQyXQ0jC3GhYyxg6jvC9R+XrhwFtasWaS1hNhYLJdra+e88soQhoZK6OrK4Lrr3oxzzumU\n2ul824BaRtaVV16Eb37zPydVqyuHPHSxVGTrcDp48FUcPPgqli+/DL29VyGf76+/0mKf8UqKlcPK\nYa/dmQYGztR/HhkBcrnJXuycK654g5GdAzT2m6o/ZZ/zn6mka0c7K6pX1Xy5y5dfBgDa8Q3UottV\n11NXdth7gbXv/vtrv/Ovr194YRBXX/0HoafAb9y4P3Bs1raNxdeb9JvqVXjQeJX1oXgfNLZLvc1W\nvJXzqU/tICtHUx+bYm/7JU13/+Vy01AonEShcLJpG1D7ksK28/vyP8uiFIIiGABgZGQE55zTqbRz\nVPUB+AqAz1p1goXI1iGRSCQSiZQo0ZsTTitWzGmIqA6aKpbkacOyWTpRR9SL7fAxdTjIghiPimpK\npMvU4d7eJTh9+kzLIurZWOrunoFqFc7TxoOmQOvabxpfL/uMpg37VztOGQ4qx2Y6sOk0YvEztm+x\nWMZTTx0DAMyfP7M+SyfoOP7nbDaDLVsOrDQ4bWfRlxNOmzcvrU+bzOf7AQRPyWrltGFWDmM8gLF5\n6qVSpe6t79nzcSVjoiqTnf+qVbV1VVQx5XwbVNNMbacO5/P99S8lqRQiiahPoqKaFukatZ5O177g\nptMd2LHjI4H3gevrdVmc9rXX/gu6u2cgne7AggWz6l9IZe0wLZedi+303Gw2g97eJTh16rTVVM17\n792Le+/dGzjlXtaHumdQFMtbLFgwy6pvW6FWTBv2/Zzv7b1KyhZNnJhp2AaMjaG1a3fVx68odpyq\nXv4fd2vX7sLTTx9HKgXp0iWy49gzoBVK7khsoYI8zSSzJmL8MGA/HTCf32kVtR00zdTX1GGKqPdT\nLmA+5ZBXHBH1/HiT+eM29QRNGxb3EcsWtxWLJe8R9a2cNmw6PTwpajVr4us5r7u/TKYNmz6Tdcze\noUPypUtkx2nqJuaERCKRSCTS2aPEvDnJ5XI9AO4vFAqTuc/mAdgr2f0rhUIhP7pPFsAGAB8HcA6A\nHwP4m0KhcMS1Le3Imoi2Trk8ZuvYesi9vUtQLJYAmHnmOs5EPM6FNaGI+ujK1Y1v9kq3XK5Edh+I\nx/LTJpmtA7hxRibsh0nf8LaOal/T+nTH2LYrqOwgBd23SVM7siYmzzh+XAexHuLPQQyY+Bxlts7C\nhfKlS2RtaxVzkoick1wu914A/woAwpeT/wZgE4ClwiG/LRQKvx7d538D+BCA2wC8DuDe0f/PKxQK\nFZt23HzzjiqD3uJaAr4VEfW6cu+5p5b1cOZMKfaIekC9bk6crEnceQ6tjKgXj+Gv59e+9n50dWWU\nSxmEaa+sfaxu1ZcSn9lBNlHwU6dOQj6/EybPBpPcjVbH05suRSCqFTknSeRMTPpB9Zy7444nsHfv\nsYZnmmmcvc3YYl8uSqWqFH41iajX1T179mR0dqbHb3x9LpebAOC/A/gial8oOoVd5gB4tlAo7FEc\n/zYAnwTwiUKh8ODoZz8HUABwI4CHbdrDsgyA+JaAp4h6tc/KRKxJ+DIB+4j6c86ZgM2bxX8Xdf6b\nPgAAIABJREFURLdUvG5M29TjmzUZ/Veish22rEkrORNWVruwJu3ImajKWbt2F+6/f6zf2TNNd6/6\nZE14HtEkol5XN8t6iVKtZk6uB3A7gJUANgMQv4nNAXBAPIjTNaP/f4R9UCgUngPwfwD8ib9mkkgk\nEolEikutZk72AHhzoVAYzOVyd0m2vwvAcC6X2w/gMgC/ArC+UCh8e3T72wEcKRQKYoTuC6PbrCTm\nnPCKY667TRlRZZpks5kmW8ekHT4yTQC1rZN0PzyMovDSbTkT9jl/PVXLokflxfOZJklgTdjP7DW+\nybPBhgcI06YwaifWpB05E1U569YtRqlUqds6suefWGdY1kRl66jaGoZz8a1EMCcAMPrl5POFQuG8\n0d/fAODXAJ4DsArASQD/F4D/BuDThULhn3K53BYAVxcKhXcIZd0P4B2FQmGeTRtGRsrVKPx1X+WI\nmSaXX34h1qxZhLvu2oXt238ZijVhPmU2m0Em06FdNyIq1oRfP8Jm3RTfistbTyprwq6nap2lMO1V\n8UVsLZEwnBErWwxac8ncAcb6bdOmpVr2xnQ9oaB7IGrOJKhvghQnc5JE1oRJ1Q+6seXKmpiMLVmm\nCcu5Amp/J8R7ScdJydrBnxNjE7dsOfD1anVlZFOJW/3mRKdXAfwXAP9ZKBSOj3722OiXlrUA/gk1\nG0j17apsW2Em01EfeEx33vlo3Y/LZjNSD95EPsq5885HmzJNnn76OA4efBVAjTW56aYf4JlnPu3c\nNl6qNvLtENkE1XnKPuc/27PnaP08eG8zTJ+7KpOp/atdHAu+5Wts6coEEFiH6nqK/eBrDMuuuahC\n4SQmTZIzLyZlM4ntNB2fwFi/dXV14mtf+y/aZ4OqPtX+snvAtK0usm2rTHHdF0A094av+lT9oBtb\nPGvCxrVuzMnuDd39q8s0OXz4VNO9pLoPde3gx+wog/VXiDDnJLFfTgqFwjCAxySbfgzgT3K53DkA\nBgCcJ9nnvNFtJBKJRCKR2kyJ/XKSy+XejtoU4m8WCoUz3KYuAKcLhcLruVzuMIALc7lctlAoFLl9\n3gpgp22dpVKl6VXd6tUL6pkfq1cvcH6l6aOc1asX4PTpM1pb5+GHP2RdNmubaOuoymHtYDYAv6/q\nPGWf85+pbJ0wfe6quF5f+xpbujIBBNahup5iP/gaw2KGjsrWsa2Dlc1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XAAAg\nAElEQVTL16RYLCWWq8eHWpE1sXmWPlkTV85E9rus37q+8+VN/g2IK5tnZOOZBWJOSCQSiUQijSXR\nmxNOX/ziLPBhHVvZnlFn8VD2s65O/mdiTeqVRIxdxxjEYYfi9teENQHkYR3bNmRhHZP+8H2x5Uz4\nsaji72myJr29i1AoVLfJVasWNHzmqx0fakXWxOZZ+mRNbDkT/vdCId8Q1okam6pek38D4srmGUX9\neyOEdYg5SUvDwyMVF9bChjWJwyVE5RuRQYu28eBWYk6S8jThGQOg+ayJ6rqkWBMAdQnORNZC1ieg\nuayJ77nA17dp0zJMmJCvrYkssSZp9oXtDYcOnUrN06S3dxGGhkpGXAa/DufMmYpx4zoa5iHPeDz6\n6JW49959Dfumaq9lc3vixPGj//FyOnJsqvw5unnuQ748TWQs49BQCf/4j69hYKD4aqVy88e9dpwT\nvTnxIBvWJA6XoIr9qfwggGhOopWVtKcJe3PSbNZEdV2SrAk/p0TWQtV2M1kT33OBr69QyOO++5Yl\n1lYctSJnElWH+Bk/F3VchrgOeckYj0sueRwnTxYb6ongLGpat07+FiKKNWlFTxPFPfiYr/7KRMwJ\niUQikUikTInenHiQDWsSh0tQxTB1YR1Zfe2iJGLspoyB+PckWRPVdUmxJkBjWMe0T81iTXzPBb6O\nDRsuTbStOGpFziSqDvEzMayjq5OtQzGsw8QzHqqwjtgH27BOFGvC8y6t4GkCqMM6HrvcIGJOONkw\nJyZn2MXyUVyCD08TV9aEqRWYk6Tz52zaVH2Fz/ucqJ6VLF7to78mMXnfrIk4lhkzJgPQ+1oA8VgT\nE++KtFgTVV0+WQtfagb3UiiMR0/PjlrCO5+eJrLPbHygVEkARcZDB7/KPIMqlcb6ovxe2s3ThP3M\nJ8LdufMLmD59Us77ADjRmxNHmZxhF8unkT9HLKPqTysradaEvTmx8dLQ9cWlvzYxeZVcmRamhx66\n3Kisr/w5qvh7WqxJmv4pcdWMvvT07MDmzfud27R9ji4+UKJkjAeTigeJqi9qbO3oacL/fPJkEUuX\nfg+vvvoH3vvPi5gTEolEIpFImRKFdTiZhHXYa6+hoRL6+o4gl8vVYpdA46s03kZ5zpypePnltxrC\nOrKjyHycc2SkjL6+o7jooum4+eZ5uPbabQCA73xnOa67bnvtLH9nZ4fyVaSpshzWsU0PYFofUH1t\neeedu7Fnz2EsWTITX/vaJ6W27eyaYrGEF188AgBKe2ybsJ/JGPm59+KLh3HkyCCmTOlCR0cOuVwO\n8+ZNkx6fjBr7jTfOwbXXbmvwhODDOny/RkYq6Os7gjlzpiKXy9V+jmq7vo5q/iq2/+RyOVx88Xm1\nsI7JcUxfcyGqLhbOeOed017mnatc55Svdjs7q/8tOzJSdgobyngk2XFdNr8uuOBc7N//FnK5+nQi\n4tz93Oe+jyNH3sXUqRMwf/702jxk83pkpIxyuYJjx4pYtuyX8corx9DRkZMyJ+wa1tdcLof586ej\nUOiUhnXEOd3XdxRz505FPt9R28fZvqIaj89nZGpnof/3pnr/Z88+F/v2HcXRo4M499xqX48dG8K0\naRMprJNFyV773XvvPiMb5Y6OXOSryeuvn4UNGz6Jnp6dtb8FwdkIwwGE4QD27Dlcq++667bXfl68\n+L0A0FBPO0l2n3zVB1QXKbvPpseBgeq99xUC0I1R1vapU2egPFk/TNrhX9mq6uDL8/ORadGiGVbH\nFYPg7Dpb8aix6u5v3LkQVRcfzmjmumpWWIlv94YbZuOuuxY7X8/fP36PA1Db9x5+uPq3MByQ3m9x\n7rJ5dPLkaSxZMrNW/pOffLQh7P3qq8dr5dm+zfdDFirXrSvVuuD3cT6cn9T8sVkPNv/eMJ08ebqu\nfHe3f15GFIV1SCQSiUQiZUr05sRSNseGAT8W9bJjw+LPdHTYX30sJbrsqCArpzu2HaevJkcsxdCK\n7MikTTsm6Q10RytN2xbr0FmRR90/n3Mhqi52lJidUmmWmnWEmbWlWxcm15v8zB8HVh3LN51HMgt7\n1dFevj6buW1ybNjEZiCubOaGzbHhUqlcC19ffPF5qc47Yk446ZgT2xi3zTE4wOwol+zYsOy4cZz4\ncxaZkyStyWVHr1VHaJOyqDdJGy8ehQT8WNTruAXx6CgQ36I+yorc5F4kfXRY/Nz1H2UfaqZVvti2\nbF2YXitjsWyO2ers5Pl5KLOn56/h2zU5NixTd/dEDA6WalYDsrpb7dgwv75lX0rEI/7d3RMxblwn\nMSdZkM3RUcDs2JjrUS6x/SwdcUxCvscXdRxWdYQ2KYt6E75CdhSSV1zWRFaHeHQUiG9RH2VFnuZx\nXtu2VHblSaqZa1tsW7YuTK9VpVwwPWarm7d8XSp7ep/HhoHq2tCto1Y7Nswkux8HD55IxGI/SsSc\nkEgkEolEypTozYmhssKaRFktE2sSrz4dc5GURb0JXyGmdwf8WNTrWBMVaxHHoj7KijxLrElc1sKH\nmrm247Rtw5kA0fulKRcis6fnr+HrEvd0MayjU3U+lJR1m+z/ceWTM+F/bjZrwkRfTjQS45yA3qYc\niMea9PTsrFtwMom+Fz09O+vqaReJ98jHK8Uo1sQk7cD27dc0jTVZsGA6AH8W9V1deel9FVmLEyfe\nrYvNR60BcWzM62H58r9T3sOssCayecc4rDS/nGSJNbFpW7e3sb+xOTc4WMJf/MUO7dqSsSbr1u2u\nm4cAGtYJm99M/FwfHCzhppt21CDaNWsWWvkQrVlTz5rcddfeWj9M9oq48sGa8M8DOMOaDA2VsH37\na5g2bQKeeuqzibAypmqff80SkE18nskHa8KkY07anTVJYmxRMVbXtAOu/W0WaxJ1vVi2WCx5tag3\nTd1g87mNdHVlZU1liTWxadtkb+P5E5uUHrp0Hab29KxOvjzvHRU1Xr4/zz77WkN/TPaKuEqDNTl5\nspgYK2MqYk5IJBKJRCJlSvTmRCOb+DxTXNZEZimsar+dWZMkxkasSbQ/C1+WD+sA7qwJb+Ft4l3R\nTNYkK2uqnVgTHXNi62miYk3EdSLLOszXycpfdNF0rF690GhvZ5+zxKA33TSn4bpW8zQRWRM+rJMU\nK2Mq8jnhxHxObD1NeDbANu27Ls8BoD+fL9blQ832OUlibLY5SZi/x7vvnm7wlInbV1O2gs0HABge\nLmPfvqPKuWXSnswfJ6pv3d0TcdNN/4TnnvuFcduy/rvew6T9bUzbSmtNZJ0zUd0HW0+TKM8gGRsm\n219l/j+yLyVxPE3E/tx66wJs3FiFbFetWlCr28QDKa5M54eJpwnf792738TISAUdHTmpp4lM5HPS\nJNl6mogxTJu078Sa1Ctp1sSEHZL5e8jKJsWZqLwXVHPLpj1dX8WyhUIe3/rWj6zatvWOSJP/yDpr\n0k6cSdTfdWyGbA7J9lcVk+Xb00S1fxSLpVrdWWJNTLkfvt9MzfI0kYmYExKJRCKRSJkSvTmRSMZ/\n6GJ7YgzTJmZOrEm9kmZNTNgh5u8hhnV89NWUrVCFdVwZABvWhP3c3T0RpVK5FtYxaVvWf9d76Hsu\nZJ01aSfOJOpnHZuh2h/F/VXGZKlYE3Fe2niaiPsHH9YxGY8vmT4jU86E9VsM62Tl3xRiTjidOlWs\nrFz5dGr5c1RfSNjksPXk8KFmMSdp58/ReZq89NIRLFr0Xnz1qwu9eJqYlOfnhCqpXxL5c1TlS6Uy\nCoU88vmOWmzdpE0T1iQrniambSW9JrLOmjCJ98GUbWBlbTgTkSlhrAkAY86E1Xum/FTk8+brSbWO\nNm1aBgBYufJpI5YrjuJ4mgCNex7PoEXlz9GJmJOUxedL4JW2pwmTrSdHKytpvgCw8zTp7z+OkZGy\nF08Tk/Ky/orzIYn8OVHlgTOxddM2ZbLhO9LyNPHdlqvaiTXxxZnImBJmTBnH04SXzZzm62endWy9\nf1wUx9MEaNzzVOs0S6wJEzEnJBKJRCKRMiV6c8KJ5UtIK39OVFhHVofs93ZQs/gC8e8jI+W6sI6P\nvpqU5+eEKqxjKlvGRlZeDOuYtmnCmphyN7o+myrNtlzVTqyJT86EZ0p41sTV00QM69iMj6+fzzll\nwnLFkc3zMdnzeAYtC/lzdCLmhBNjTgB9fM8XayKDskxjuEkpTeYkaU8TW9aEbZzf+MZlmDAhb+zn\nYNoXVdtiDB2Ilz8HiGZNVPeJ/8K8adMy6X0Q69B9yW5l1oQpiTXRTM7Etf3u7okYHCxB3COjfE50\nXIbsWnF/7erK17EnvGlamqwJWyd33LEbu3a9gblzp7WUpwl7FnHz5wwOlrB+/V5s3rz/gUrl5q/E\nGKZW9OaEk8icpMGaiDKN4baDkvY0YbLNnzNp0njcd9+y2P01ZU2SyJ8TxZpE3SegGluX3QddHbp2\niTVp/fZle6SNh5PYluxacX9dtGiGMhdOmqwJE/usv/94S3ma+Mqfw9X1JwAS+3JCzAmJRCKRSKRM\nid6ccGLMCaCP7/liTXRn7aNiuO2gJMYWhzVhYR0WU7ap27V8fUzcT/4cIJo1UfWND9Go7oN4nQs7\nNdZZk1ZtX7ZH6jgTQO+xIysv7q9dXXllLpw0WRP2987OjlpYJ6lnZ/p8TLkf/lnEzZ/T21vNL7R5\n8/4HrC+2EDEnnFhuHZlM8uewclHn9WWJpprNmjClwZxkgTXRxcNN/Bzijk9kTSqVSlPy5wDyvCVA\ndC6VVmNNXNvxuSZakTVh17BEkMXiaW1d7eRpwu8lbH1NmjS+7j74lI0nklgmDdaErfvR1BbEnGRB\nsjP3ph4Y4rV8zJSJWBO/dQJ61sQkHq4qmyRrknb+HECet8S2vVZgTbKwpprdB5f2xWvWrVsk/Xs7\nepowydYXuw8+Zbp3mOYySog1YSLmhEQikUgk0tgRvTkxFB/D1OUZUcX7VDFTYk2aw5qYxMNN6nYt\nL7ImfFjH9p7EHYvJvJbV0WqsSRbWVLP74NI+KyeGdXSsSbt4mvB/TyOsY7p3mP7smzUBUBfWsa7E\nQsSccJIxJ66eJuK1jz56Je69d19dGZvcFGkpKeYkC5wJf42Oz1D5OfgYH4uL79nzJioVYN68aU3N\nn6PzU5GxNzp2yoYlSTqXks+24q6JZq9p1z6I18yYMVm5LqLWlY6TEOfUunW7G76Q6NY322fL5Qrm\nz5+OQqHTaYxRrAnrx4wZkwH42yOT9DSJkz9HbFf0QJo8uUC5dZopV08T8dpLLnkcJ08W68qYnlFv\nB2WBM1FdIytr6nmjqlfnS8Di4kA1p4WuHybt+cifY9J2FDtlw5L4ng9ZZk2a3b5rH8RrHnrocuW6\niFpXOk5CNadkczRqn+XXk+0YTVmThx66PLJeG6XhaQK458+R1Vco5PHgg8ut6rEVMSckEolEIpEy\nJXpzEiFXTxPxWjGso7qu2THppJQFzoT/exSfYep5Y9IXsVypVFaGdUxlEiOPKm+aQ0rsuwk7Jf4t\naf4jy6xJs9t37YPsGtW6iFpXup/FOaUL68jqYPusGNaxHWMUa9Ls/Dmm/17wz8JH/hwZYxblgeRD\nxJxw4pkTH6yJLAZqc0a9GfLNnGSJNdF5L/Dl1q+vblCrVi3wxpqwOVGpVDB37jTk8x2ZyJ+ja5vN\nhZ/97HiDKZarb0krsSZMrmsiC2val0ePbF2YzEUTHk/Mn5O0p4nYL9mXEt1e4WuPbAVPE0D+bLu7\nJ2LcuE5iTpohX6yJGAO1OaPeDsoSa6LzXpDVXSyWvLEm/Jw4cOBEw+fNyp9j0rYs14mrbwmxJunK\nl0ePbF2YzEWTPVKWP4cpCU8TsV8y1sRkr4irVvE0MWHakhAxJyQSiUQikTIlenOikA/WRBYDNY3D\ntouyxJrovBf4coVCdVmsWrUgVl94sTmhCuuYyoY1UfXNljWR5TqR1RvVbtRnLiLWxG8fdHuSuC5M\n5mLUHsl+5vPnJO1pYtJ3k70irkyejc2/F3zffXmaAGZMWxIi5oTTqVPFyle+8gOn/Dkuniaqupqp\nNOOpcesE/LImrK5Nm5ZhwoS88h7YjM03a+I7f46uvTvu2I1du97AvHnTarlOXPmOtPLn+G4LsF8T\nWVjTNn0w3ZuYv8ehQ6ecPE2ARu+nv/qrl4wS+jXL00RWbxq+NzYeWEnlz4nyQCLmJEX19Oxwzp/j\n4mmiqqsd1MqsSaGQx333LTPuh25sSbAmUdfLysbJn9Pff7yW68SV7/A5H9Jsy0XNbt+2D6Z7E/P3\ncPU0AdTeT6LHiYpzSNvTJEusielzArzmz1H2MWkRc0IikUgkEilTojcnnDZsuBTvvHPaKX+Oi6eJ\n7udWVyuyJkxRZ/htxuabNUkzf05nZ0ctrBN1v6Puic/5kGZbLmp2+7Z9sN2bouairm1xnzQN64jX\nt6qnidiezRo2eR4+8+e47FM+RcwJp4997P+pbNlylTJOp2NNVDHQVmFNmOLEU5Mak2semaj4saq/\nsntgO7aBgSFcddUTOHx4EJdd9j5MmJC35kxsxiLrI+DGmrBrliyZiY0bP40TJ97NPGuS5HoyWRNZ\nWc9xWRPd9YXCePT07MC77572xpqYepqsXv08XnjhTQD2OWJ8sSZMLnukb86EL58ma8JEzEnK6u8/\nro3TRbEmshjoWGJNkhqT7Zl707ipj7i8SitWbK0xJo8//hNtP3RqBmvCX5PPd6BYLGWeNWn2emp2\n+y79sOEagCqTt3nz/oZ64rImTDpPE8aNAfY5YrLAmvjmTGTlgfZgTZiIOSGRSCQSiZQp0ZsTTrNm\nnYMtW65Sfq5jTVQx0LHEmiQ1JpNYsax8VPzYR1xepa1bVyjDOjZqBmvCrlmyZCY2bLi07vV1VlmT\nZq+nZrfv0g8brgE4w2KJYR2TtlWsiamnychIuS6s48JrAdnOn2P7PNqVNWEi5oQTn1uHlyyWz7wz\n5syZWpe4zTROKPssC0oqnmqrtDxNZHXx98A2hr969fPYvVue1C+J/Dmy8ixxmilnAshznehyDLVb\n/hydVGsiK2vZR/4cEw+N8ePzyOc76uZDVj1NxL7xbah+Nq3bZo9MytOE9f3223dh27Z/d2JNbPcZ\n4Mwz6ezMob//+DmVys0D0oIelK1/GTMqWTyO987gZRsnJNbErE4gGU+TqP7alhVj47ySyJ+jK2/K\nmQD6/DmyHENpzvGsrqesrGXbfsT10ODnQ1Y9TcS+8W2ofrap21RJeprwfXdhTWz3GaD+mQD4ZwAX\nGDdoKWJOSCQSiUQiZUqdt99+e7P7kBmVy5Xbh4aGG/6+ZMlMnDhRxIUXTkVv7yJ8+tPvw7FjgygW\nR3DZZe/HnDlTMXdu1Qti3LiOhvLjxnUo6+I/y4K6usYBAGT3QaUkxiS751FtLFkys/Zcrrjig1i3\n7hPKcrq6+HtgMzbW/tBQCeec04Xlyxvnhu3YH3hgKd5+ezhy3Hz5EyeKKBZHcOWV6nsg6uqrz8cP\nfvBzTJlSjVlfdtkHMDg4gvnzp+OrX13YUEeac7zZ60m1JrKylm37ISuvqoP9/YILzsWCBefhoovO\nq5sPurb5ObVt22fx9tvDtXn5zW8uq81r1Rxn159zThcuv/wDmD9/upd1pPrZtG6bPdLk2bg8D9b3\nY8cG8dprb+P9738Pnnzys1ahRdt9BjjzTKZPn4ijRwd/7fbbPzFk3KCliDnhxDMnKuZhZKSM4eEy\n9u072hDTb3Zs3IdM46lpeJqkzZowdXdPxOBgCStXPh1Zlm/fF2uSlqeJyJmcfXZXZI6hscSaMIlr\nIitrOUlPE9lcZPOB5dZRtcvPq+98Zzmuu247gHpzyqQ8TcSxsnb4cbhwJryi9shW8TQBzJk2cW+Z\nMWMy+Zw0S1HMA9AY089qbDwJpeFpwtQM1qSnZ0dTWZOo6314moicyc6d19bVK8sxRKxJdtZykp4m\nsvnF5kNUu/y8WrLkMQwPlwHUcydJeZqIfZf5mrQaZyIrD/jxNDFl2sS9heVZSlLZiimQSCQSiUQa\n86KwDqfh4ZEKe2XJznsDQKVSJdS3b/85AGDZsl/Gq68O1F5xAai7hj8jbntUq9kyfWVpanNsKrFe\noHrfAUjb4V9zDg+X8dJLR5DLARdddF5dWMfmFSYrWyjk0du7GLfcskNZFjjz+npkpIyRkQpef/1t\nTJjQieXLP2BlV8/aLRZLePHFIwCA+fOnjfZD/nqXv09s/JVKBblcLvJVOOs3/wzZK3f+b7LX+LJ7\n6HtO6OpLav7pJIb5mr2Wbe6Bal2pfEXE0DXvQ3L33Zdi7drn8c47p6XPhYVWZ806G08//RoGB0dw\n+eXvx86dbwDIYfv238b9978stWAYGirV5iQAHD06iGnTJmDRohnGaRfYHL3xxjm49tptAM6Elcrl\nCi68cCr2739Lav9go6ij5brnIivDnoNuvheLJezZ8yZ+/vO3USjk0NHRgenTJ1mFdVhdQ0Ml9PUd\nQS6Xa8gDJzsKXr13U7B//zEK6zRT/Cuv66+fBaAxnPPqqwN1r9J6enbWXcNejfF/B1o/lAM03p8k\nwjnifZe1I3vNaVLOt0W9+Mp4eLiMX/ql8bEt6hcvfm/k62B2n/jX4CbPhO93EJyNnTuvlc5htlFF\n3Rffc0JXX1LzL0o2Yb6kZXMPovazenv6nQ3zcNGiGbUya9Y8X7Ovlz0Xmb3CU0/9W+3nb37zFXR2\ndiAMBxCGA3V1LF/+dw1r6ZprPhz72PB1122v/dzRkZO27Usmz0VWRvXvh1ieaXgYCILJXizq7713\nn9Gx4Y6OnHV7cUVhHRKJRCKRSJkSvTkRpLILZq/cOzpyDfbAJhbOzbYC9qWkxmRi0yz7WxIW9YVC\nHhs2XIpi8bS2PLPkrlQqmD17Cl555ZixTbzLWMQx8JbTNhb1vJU4m8um9z/uPTZRnL4kpep8KKXe\nrkwuc1pWVvW7ah4y+/pisSS9dmSkXAvZ5HJAX199WEjXflQakCjxZU3dYH3L5LnIypg8o2ZY1Mv2\niTRFzAmnL395e6VYLNUdP2vnY8MyyeKpWTs2bHLc1rTPsnJR3M3AwJAyb05aFvWqGLWuPdlxa919\nKhTGo6dnR+0fI9d7bHs/srSeBgdLWhv/NBVnTpvaoat4IkB9tJzNqwsuOBf797+FSqWemQLU63pg\nYAif+cwTOHJkEFde+UHcffcSr8eGTfcVG7mkt7Dd65I4Omy6X8gsBmT3gJiTFMXiqbLjZ3RsODvH\nhk2O25r22WVsK1ZsxYED1ePCjz/+E20/VHI5zqc7HhnVtuq4tW78PT07amtCVr/PeZHV9cS3LbPx\nT1Nx5rTq2qh5aHK0XMaaiMfpdRb3rOx3vxuiUOj0emw4qv24cn0mUX1K6ugwLxPWxKU9XyLmhEQi\nkUgkUqZk9eYkCIIPArggDMMnR3+/FsBKAMMAHgjD8FHvPUxRN9wwG7qwjilP0m6sSVY4E/7vvlgT\nl7Ft3bpCGdYxlSpGbhKrVoV1otpjTMCCBWfmsm78OsYg6lpbZXU99fYuQqFQ3SZXrVqQatuyvsh+\nNilnsnfJ5qGMORHbYvNKF9ZR9Xvr1hV1YR1XXovvv25v8D1/fOwzUUzdWGNNmIyZkyAIFgP4AYB/\nD8Pwo0EQ/DqAlwAMADgB4HwAnw/D8LGkOpu0GHPCn5MXY25ZjY37kks81VZZsKjXlVNxNz4t6gFz\n3xX2OWBnUa/icwCzeLcKDG531kRsd8aMyQCiUzqk0Rcbi3pA/Zyj2C0di8V8b0ZGyhgcLOEHP3gN\n06dPwGOP/VadZ4aqfWaHvnv3m8jlgIULs2dRr1MUiyXrYxT7I5a/8cY5+J3f+T4OHx7EFVd8APfc\n88nY90fWJl/eZG/h94bNm/dPrFRuHjTulKVsntjtAH4B4JrR37+EalhoCYCDAJ4EcDOAlv1ywuLr\nW7b8tGazLMbcshobT0JZY018WtTbjo1vH/BjUR/Fmsjuk41FvSrWDNjFu9etW6T9vN1YE7HdNKy6\nTfti+7xt7ND5MjbPBajyELw9va79tWvP2KEDwIEDrWVRH8ViyfrIypneV/7foEceOYCurry3+2Nq\nUW+wv34dwFeMO2UpG+bkIgD3h2H4v0d/XwFgX1hVGcBWABf47iCJRCKRSKSxJZs3JxUAgwAQBMFs\nAO8H8P9yn08C8I6/rqUvxpyIYR1eWY2NJ6GssSYyZsKmbpdyYvuqsI6pbFgTWR9tPE1M+Bxdu6qw\nTruzJllaxzZ9sVlXUXPDpC6TsI6qvlKpXBfW8c2aJOlpEsViyfpownjxv4thHR/3R9YmX95kb+H3\nhs2b999s1SlL2TAnzwM4jWpY5z8D+L8BzAvDcF8QBDMA7ADwb2EYLk+qs0nrD//wHyrPPfcLKdOQ\nxdh4EjKNp7qo2ayJ6XMSuRufrEmUP4usn4A9a2LraSJrl2ctfM/xLK4nVbtRvjdp9sWkXJSniW4O\n6q5dv74KYb/zzulaLqt586Y3mKzpPE1kRmtxeK2kPU1k7etMGm05E/6arHqaiOO69dYF2LhxHzZv\n3v9ApXJzYmEdmye3BtXQzbHR37eMfjFZDOBpACUA1/vtXrr61rd+BEDONGQxNp6ETOOpLmo2a+Ly\nnJJgTaKu98Ga2HqayNrlWQvfczyL6ylL6zhpTxNeJvdedS3z++Gl8zRh7AO/jnzwWibtx1UUiyUr\n47LugOx5miju/Z8gC8xJGIbPAJgH4BZU35p8fvSjfwPwEIAFYRj+i+8OkkgkEolEGluyeucVhmEI\nYIPwt18A+HOfnWqWvvSlj4OFdWzi31mKUceVaTzVRc1mTVyek2/WJI38Oap7FjX+NOd4FtdTltZx\nHHYqih0xZZDEnwuFvFFYR9XvJPLnNMPTRBfWseVM+L9l2dNEvPcsrGPdQQspmZMgCNaiCsFaKQzD\nO+J2qlkaHh6pmOaUaSfOJCp/hs/6bfLIJJk/R6fu7ok4fnwIl1zy3Vj5c2zGIijC2NgAACAASURB\nVOsnYM6axPU0kX3e3T0Rg4MlrFz5tPJ6W2VtTZm0mSZzEoedcmVNTJ7JyEgZ5TKwbdvPMHWqvafJ\n3r2HMXfuVOTz8b2B7rxztzVP5SrT3Fvtzprwc+fGG+fgC1/4/9Dff/xHlcrNiZ3Q1T3BtRHXHkE1\nLDRl9PdBAKcAtOyXE1FZjIsnIX4ssvwZPuu3zSPDK838OUuXfi92/hxZ27o64rAmvjxNxM97ena0\nNWuStXUch51yZU1sPU0GBtw8TURGJC5rYsNTuSoJ9kd1DZBt1oSJ82D5uFUnLaX8chKGYR2PMuoI\n+yyAv0bV7+TE6N8nowrF3Ioqi0IikUgkEonkLJt3X/8VwP8Mw/BO/o9hGJ4CcFcQBL8M4G8AzPbY\nv6Yqi3HxJMT3X5Y/w2f9Nnlkmpk/55lnPq8M69goLdbElifQtcmrGlsvKT+3VdbWVNbWcRx2ypU1\nMXkmJmEdVX1sDothHVOJ+wcf1jHlOlyVBPsj/q0VWBNVWMe6oxay8Tl5F8DNYRhKIZggCP4MwD1h\nGE702L9UxZiTrMXFk5JpPNVH/aasSdqeJqIGBobw2c9uxeHD72LZMjfWxJWxYeXXrdudWv4c3efr\n11f7vWrVgrbPn6NrNw3mxHVOJ+Vpwv5+441z8LnPfR9Hjgziqqt+BYVCJ0ZGypGcCeMfRkbK6Os7\najSXdeOVsSaq9n3IJPcWyzHEl7HxErr11gW4/fZd2Lbt32OxJjZcmk1Zfi9es2Zh3f3/xjcuw+TJ\nhZxVZy1l8zR/CuD/CoLgm2EY1n2jCYJgPIDfBSAPereYshYXT0pJj8WFNWmmpwlQH4t1ZU3iMDZi\nTD2t/Dm6z4vFUtvnz2n2Onad00l7mvA5Xh5++H9DlGnbJnNZVBRromrfh3w/D9k1/JjisCY2XJpN\nWX4v3rv3cN39nzRpPB58MFm/VZsvJ/cA+A6AZ4Ig+G8A/hVAF4CPoGrG8lEAv+29hyQSiUQikcaU\njL+chGH4cBAEBQDrAXxb+Pg1AL8ThuGTHvvWNGUtLp6Ukh6LC2vSTE8ToBp/VYV1TOXK2LDyfFgn\nqt2kWJPe3qqvBVAN68RRFtdT1tax65x25UxMrgWiwzq668WwjiuvBahZE1lZH/L9PGR/E8M6rqyJ\nDZdmU5bfi8WwThJsoihj5oQpCIJOAHMBfHD0Tz8D0DeambildepUsSLzdGh3zoRX3Ph6M/PnxOFM\nVqzYikqlgrlzp2HSpPEAUNuEs5Y/R8e0APFZE1+eN63OmjAlxZz49jQxZZ1M6vzjP74Ay5f/PQBg\n+/bfxje/+UrNfOzEiXdTY03EJKxnn92VqqeJTGL+McBsj+PHxCf1u+eeT1qPIQnWRNy/ACA3SpWI\n+1l390SMG9eZGeYEABCG4QiAvaP/ayupPB2yFp+OozQ5E6a08uf44ExkuUKylj9Hx7QA/liTuJ43\nxJrE74uNp4kp62RS53//7z/G8HD1vzeXLHms9jNQZZDSYk145oUxGc32NBHzjwFme5xsTI88cgBd\nXXnrMSTBmuj4NV5prRnjLydBEOQA/BGAawFMA9ApFMkBqIRhOMtf90gkEolEIo012bw5+SqqrrED\nAA4AKErKWNvdZ0kqT4esxafjKE3OxDQu7Is1icOZ6MI6pjKJ8+v6autpAuiZFlfWhCluXJlYE73i\nsFNRvIPpvFD9HBXW0V3vkzURwzq6PseVab26/GMmz1EM67iMIQnWRNy/AHlYJy3Z+Jz8HMBBAFeG\nYSj7YtLyssmt02oyHYtrfN2WNYnDZyTBmsyePQWvvHIMF100Hffff5kVa5EGaxKHM5G1a8Ig+JoL\nzWZN4rbpmzmJM591rIlLLqoozoSVBSD1vYnj0aPqWxby5+jKMBZL5nOiuy4ua5Jk/hzR00SWVJF/\n5uvX78XmzfsfqFRu/orxACxl83SnALijXb+YyJSl+HRcZY01icNnJMmahOEAJk4cb8VapMGaxOFM\nZO0myX9kjTXJ2jqOM59NvDVs6jXlTIAzc4z3vdF5kdiwJlGeJs3OnyNjsWyvi8ua2OwzgF3+HJWn\niawdrh9/gmrqmkTUEV2kppeRcKIfEolEIpFIJJs3J38J4MkgCH6Iao6d/5NQnzKjLMWn4yprrElc\nPsPmc5V41oQP69iyFmmwJnE4E1W7Jp+5KGusSdbWcZz5rGNNXHJRRXEmfBmZ7404L208elR9y2L+\nHBmLZXtdXNaE3y98588RPU1kYR2+fKGQx+bN+6WpbHzJhjnZB2AmquEdADiNMwBsBWdO67R0bh2T\nOGKrKA1PB9c8MnFZE9f4Mzvzv2fPm6hUgHnzpmHcuI66+K3pPXAdi2lsPorjEX/3fQ/jzAUxRt1q\nnAkvX8yJT9YEgNG6i3ompVIZxeIItm//OaZO7cKCBdNRKOSlTArveyPyD5UKjDgI3T2ReZqY3DcX\nmdYpu+8mOaf4vYFP6pfV/Dlz5kzFuHHVQIpJLqZNm5ZlKrfOywB+iOqXEJVa+rQOkL34dBylMRZT\nbwVVn2zK+mAX+DP/AHDwYL2vSVIxYJfYfBTHI/6eVdaEOJOqfLImAIzWnekzAar5XX7yk5N1ZVW+\nN1GeGC6siczTRDeGODKtU3ffdTmnVPc3y/lzZFLNpUIhn53cOmEYXp9gP0gkEolEIpEAODjEBkHw\nYQCfAfB+VEM7vwCwLQzDn3ruW1OUtfh0HKUxFlMWQiwflzVxHVtvb/XMvyqsYyPXsZjG5m04niyz\nJsSZVOWbNWGK42miC+uI1/Aslsg/iGEdU4lMhuhpEjV2V5nWKStnknOK3xv4sE5W8+eowjqyMQHx\nPZBMZJVbJwiCrwH4T2g85VMG8PUwDG/x2LfU9eUvb68wY52xxpowmcTX2yF/Tj7foYyR6+6BDWPj\nw9PEhi8wvUe+PW/alTVh8p1vyob7Uc0327kn8iM8nHnZZY0JLmV94nPKsPZNPTd09yRr+XOi7p0q\n55T4rPikflliTXj/k0cfvRL33rtP62kiu1+Zyq0TBMEfArgVwBMA7gLwY1Qt7ANUv7D0BEHw4zAM\nv51AP1MRny8hCzFqV2XN04Rd0275c6IYGx+eJkxxuB5f91AlYk30isP9qOab7dwT+RGe73j88Z80\n9FnWJz6njMxrR9YPlaJYk6x4mrAyKvZGdR1/f7LGmvB74SWXPF6797yykFfO5uvonwF4OgzDq4W/\nvxAEwTUAtgP4UwDf9tQ3EolEIpFIY1A2X04+AmCz7IMwDCtBEPw9gL/y0qsm6YYbZkvzJbSako63\n27AQ/N+zlD9HDOuYyoaxUcX447AmNlyPTb/iiFgTveJwP6r55jL3RL5DF9aR1cPnlFGFdUwVxZok\n9RxN6o26dyreQnxWfFgnS6wJ73+iCuvIxpT2erLxOTkM4NthGP4nxef3APj9MAyneexfqhJz67SS\nfMVoTXmLNFmTOGOzYU109yDp/DlJe5qYfG5yH0zqahfWhMmFOfHFmdgyR7prdV9IdLlr2N+roOxi\n3HzzPznlz+HrGhoqoa/vCHK5XCY8TaI4E5G3AM7MB5/5c1h9LvyIaf4cBr92dnYo55PJXNi8ef/E\nSuXmQavBWcjmrj0J4CtBEPyvMAyf4T8IgmAZqiGd7/nsHMlcaXuaMKXBmsQZWxKsSdT1LqxJ0p4m\nJp/bKE3/lLj9aYZ8cSZMcTgnE85El7uG//vOna+jv/84APv8Oar+ZcHTJIoz0fVFxc+45M9h9bnw\nIzb5c5hU88mQI/s6EsytY/Pl5FYAnwLwj0EQvATgwOjffw3AHAA/B3Cb196RSCQSiUQac7IxYTsa\nBMFCVE/mXAXgmtGP/g3AXwO4OwzDY957SDJSGrHBZrEmccbmmzVJKn+Ozb3NAmuS1PNKoj/NkC/O\nxJY50l0bxZlEsQaysI7tvWblxbCOSf9d5YMzieI9mOLmz2H1ufAjpvlzdGEd2ZhUc2Hz5v03Ww/O\nQlY+JzIFQdAdhmHj+/IWVKsxJ2l5OjQjf06csZnkzzG9B2ORNZHdB5O60mZN0mrPhjlphqeJrG7A\njDXhy+nWHwDcccdu7Nr1BubNm2bFmmQ5f44Na8LE5gOfhy0uayLmKoraq0xZExtPE9X9kP19xozJ\n2fE5AYAgCP4I1TcnvxGG4c9G/7wxCILLAPxlGIaP+O4gSa204uw23h6yftmU9XG+no/ZAs3Jn8NE\nrElyyhpnAjTH00RWN2DGmvDl+Lp19fX3H7diTaI8TWTtjTXWxGafAcxZExtPE1k/VPPhoYcujxpS\nbIlOr0oFQfD7AB4E8BqAEe6j/4mqIdv/GPU7IZFIJBKJRHKWzZuTmwD8fRiGdV9AwjD8PoDvB0Hw\nBIBVAP7OY/9IGqUVZ+frTit/TpyxsZhtM/PnEGuSPPeRNc4E8Mea2HiaRNXt4mki+7mzs6MW1nHh\ntVhfspQ/JyusCb9fmDBxpqyJjaeJOCZf+7GrbHxO3gHwH8Mw/C+Kz78M4K/DMJzksX+pqlWYk7Q8\nHVxYk1bzNJFJlkNE1R8fnIkY5za516p6TD4zlWou+GKDXNQMDxWXfFM290f27E0YJ9W1wJkvAZVK\nBbNnT8Errxyrm4+m/QXOzOclS2Zi48ZPo1g8bXTfeI5iZKSMvr6jRn2II9M6XVgTdt369dV7fNNN\nc1LNnwPYsyblcgXz509DoZB39jSR3Y9M5dYBcATAAgDSLycAPgbgeOwekSKVZdakHTxNdDlEfOTP\niYpzm9xrVT0mn7koCTbIZz+arTj3R/fsddfpruUZCLYW+Plo2l+gfj7n8x1Yt87sv5xldZn0IY5c\neBFWzvZZPfvsa6nmzwHcWBPG3MX0NEl9rdl8OfkfAG4JguAVAA+FYVgEgCAIxgP4IoAvA/gb144E\nQbACwMNhGE4W/n4bgBsAnAvgeQB/FoZhyH1eAHA3gP8AYBKA/wXgz8MwPOTaFxKJRCKRSM2TTVin\nC8BWAL8B4DSA1wHkAMwEMB7AMwCuCsPQ2s42CIJPAPgHAOC/nARBsBajGY8B/DuA1aPtzQrD8NRo\nmf+Gqu/KTQDeQTVj8jsA5oVhWLbpR5bDOi6v/V0khjTuvHN3w9l4WQhh9ern8cILb6JSqaCjI4eL\nLjqvIayjOi4HmNtzy8ReYQ4Pj+Ctt6rTb8qUCejs7MD8+dNRKHQa1cX619nZgVKpghdeeEM5bnEs\nADA8XMZLLx1BpVJBLpfDxRefJ32FLeMJ+Fffc+dORT6vPvqsO3ZoeyRRp+7uiRgcLGHlyqeVz8xH\nOybyOS5bmdj4u9wfmZX7d76zHNddt73udbwuZCeu0ZGRMrZv/znK5TKAHHI54NxzJyCfr66Fzs4c\n8vkOJdNy660LsG7dbuzdexhz504FkMOLLx4GAFxyyS8bhXX4cb344mEcPTqIc8/tQmdnBy6++Dys\nXr1QmpcnzrM0mR+yNciX1+09fP1ADk899a8ol8s455wuDAwUMW3aRKuwDgvn7N79pnS/kJXdu/cw\nZs+egh/+8Cg6OnINYR2+3Mc+dg6efvo1AMCyZe/Dq68eb9jLAPkcVf09s2GdMAyHACwPguAzAK4E\n8AEAnah+Kfk+gCfCMLQyTRl96/IfAdyB6heKcdxn7wFwM4C1YRjeP/q3nah+SfkSgHuDIDgfwO8B\n+EIYho+NlnkZQAjgswC22PQny0rrFRsf0gCqEzMMBxCGA7j++lmR4RwA2nJsDHyZnp6dscbGv8Jk\nOnVqGACwePF7nY48zpp1jnbc4lgAaO+B6vnxYw+CsyPvtaxtVTu6OkzV07Mj8pn5aCdKvsflSyZz\n2mQ9MF133fbaXFbNXfE6fo2edVYBJ0/Wf3k4dWq4Nkej5iBQ5VxYfUzXXz8L3/zmZQAQ+eVENq6T\nJ0/X7kMSc8dkfsjWoOnew1979tkFnDhRDZmxexvHol7XZ7Fs1D7Ml2N69dXj0n1F9RzSXtsqWX9V\nDcPwKQBPeWr/SgC3oPolZAqAv+A+uxjVMM1Wru0TQRDsAPCbAO4FsHT0o6e4Mj8JguDV0TJt8+WE\nRCKRSKSxIlsTtk5U31T8FoBfBvDnAN4F8NsAvuHgFLsHwAfDMDwVBMHtwmcfGf3/nwp//xmAFVyZ\nQ5JQ0r9y17eF0jrKxadFtznKGseiPu7YfFvUM5vuW27ZoeyT7bFhk/GaHBnVXR/1mYs2bLgUxWJJ\nW/dYPTYMxJvTsuOjWTk2LPbLZR2Jp3Rsj+raKM1jw2vXLsYVVzyOQ4feTcWi3rQsX27u3GnSEJ7t\nfG3mWrNhTiahyoUsBjAA4GxU+ZOzUDViOwjgU64g6uiXk78Iw/A9o7/fCuCrYRhOEMrdCeCPwzA8\nNwiCzQAuCcPwo0KZhwF8NAzDeTZ9yCJzktbRST4V9oYNl+LEiXe17ca1qI87Lj6+OnfuNFQqFezb\ndzRWGnc2lkmTxo/+o9z4+lrs99BQSXu0z2TsQPMs6lXij0yuWrWgKUeHm3FsWCZTG3/bY6w8rxTn\n2DDjTnbvfhMjI1XmS8U7mR4blq0jG/amUoGSh4q6P6ZyPTYMRK832bXsi9/Ro4NYseJ83HFHvH0r\naq8yPTbM8yu5HGq8n2qcPvbjTDEnANahepT4M6i+8TgCAGEYbhk9afNdAHeiyoP4UA6A6pvTiEUZ\nY+XzHbUFmBWtWfN0Lf5XKORx333LEm+noyOHcrmibZcvz6Tqn2wMcce1Zs3T0vhqGA5g4sTxVvXJ\nxtLRkcOmTUu1ZQuFPHbufL3W/tVXP4kf/vCL2vKysQOIvBdR98v3PFmz5uk69ojVl9Z8TLstnfL5\nqpE2vzfEmdOy+cZket2ePW+iv/94w89MBw+eqK0DVb9k85BfU+I6kt0HmzElMUdt77fpepNd+8QT\nP8XAQJU1+du/7UdXV/x9S7dXfepTj2n3FlmdQPXo+KRJ4wHIx+ljP2ZzIUnZtHAtgAfCMNwmfjDK\nodwHYLmvjgE4CaAwGkri9Z7Rz1iZ90iu5cuQSCQSiURqIdm8OZmCag4dlV4HMDVed+p0ENU3Ix8C\nwGer+hVUT+OwMucFQVBgvitcmR22DZZKZaPMo2lq1aoFtZj/qlULEusfa6dQyOPuuy/BiRPvattl\n5fmwjqp/sjHEHdeqVQvwzjunpWEd2/rEsUyaNL52D6LGMjQ0p/bqdcuWq5T3STd2AJH3Iup++Z4n\nrF9ifWnNx7Tb0kkWzogzp1k5WVjH5DrALKwT1S/ZPGRrSraOdGEdcUx8WMfXmtfdD9P7ZrreZNeK\nYZ24+1bUXrVly1XavUWskw/r6MbpYz8eDetYjd1WNszJjwD0hWF4XRAEU1AN6/xGGIbPjH7+FIAP\nhWH4MZeOSJiTXxptY20Yhn81+rezUT1KvDYMQ3aU+CCAz3NHiX8V1S9RnwvD0Oq0TlaYk2bF9W+9\ndQE2btwHoJ4zkJWPYk2Ssjtn8VVV3pw4rAkby4wZVasdFWPAe0HI4sY2Mf4ssSaytOjsPoxF1oSJ\n/aN86NCp2Bb1pr4asmsBc4t6wI43MOEgVOzNGfar0Z8nK5yJbV9krAnLm7N58+WYMCFv9cXEN2si\nMncq+DVqX3J9PlljTu4H8I0gCEJUfU0AIB8EwUdQPQ58JYAbfXUsDMO3gyC4D8C6IAjKqH4JuQ3A\nCQD/dbTMT4MgeAzAfwmC4KzRz+4C8DKAv/fVl7SVpm2wyv66WCwZezPI+piUJbLoD8CsmV3qU41F\nlg5cdZ9kltM21uAuKd1tPreRWBd/H5o1J5Nuy0a+LOqZXNIUmFrUA/K5pbJtt7FQF/smY7/4utNI\no2BSzqYvfFn+Pj/yyAGcdVaXNWtic49NLOpV9103p+Lek7RlY8L2YBAE70cVjF03+ud/4IpsDsNw\nU4y+VNAIt64CUEbVB+WXULWv/70wDP8PV+b3UfU8uQdVhuYHqNrXWxnCkUgkEolEyoas3rGFYbhq\n1C5+BYDzUf0y8HMAT4VhuF97cXTdvQB6hb+NALh19H+q695FNffODXHaz5LSPGcu+mzwYR1deV3a\nbbFen2fo2Vl+VVjHti4geixiX8WwjouHhO4ak7pMP7dRmv4prv1opprhaSJ+ZhLWsZ2PNp4bsr6d\n8daoD+vo2naViy+JS1/4z8WwDvOCsu236T1mvk3s56j6TDxNxN+Tej4+ZcycAEAQBJ9H1T/k9tHf\n70f1S0EZwLdQTcpnfYQ3K2o2c5K2pwlrBzgTn960aZk0nsry5zCjNTFvTtQYssKamOQoUjEGgN4H\nwmTsLpyBSew4jlT18XmWxhpnwkt2H5L2NOGv5b88sy8kAGp5eIAzbIINV2DDQQD1zEkWWROfnAkP\nGVcqwMKFZ3KF6cBgWX2mOYRsWBNTTxPZfdGVNVWmmJMgCP4AVdbjRQC3B0HwWwD+BMBOVF1c/wjV\nEzvrE+jnmFBa8T8d+6A647527Zn8OSx1ug0jkRXWRBW/l9Uhu0+6uLHJ2F04A7FcWnF8Mc/SWORM\nAPl9cGUfRJlyD0w8/7BkyWMYHq7mNmVsgg1X0G6siU/ORFynBw+eUO55pn2O6oMtawJUWSPmOWK6\nX+jKZkk2Pid/hmqSv0+M/v67qGYn/mwYhn8AYDMAuUsMiUQikUgkkqFs3ucEqIKmpSAI8gAuB/DP\nXD6dffDnDjsmlVb8T9eOKp7a29vc/Dm+WBNV/N6U52jH/Dmq+nR5lnwry7Fv2X2wZR9UYR2dZEyU\nLqyj6pduXrYTa+KTM5GFdWzHIeOMfLEmfFhHtz+Iv0eVzZJsfE7eBLAhDMONQRAsQ/VUzE1hGP7N\n6Od3AvhiGIbvS6y3CasZzEkz/SOAxtijGE+Nw5r4GBuLw6qS+tmyJia5gETGQJc/x6enia6+qM9c\nFNV3lmdJlmPIl7LMmsjugw1rwvMcq1cvdPY0qSbQq6Cv7whmzz4XP/zhW+joyGk5E7EucU2achC8\nursn4vjxIVx66SMAgEcfvRL33rtPWn/UOE2URu4c8Xoda8IUxZzY3OOk8uf4uC86ZYo5AbAbwFeC\nIPgZqqdnRgA8HgTBOABXAfgKgK3+u9jeaqZ/BGDms+HKmvgYGx+HZV4OvFxYk6jrRcaAjz+LsWCf\nnia6+qI+c5Fp39etS+6/rrLMmsjugw1rwjMZe/YcjuVpwsT/ruNMZP2Xrcmo/ohauvR7tT5ccsnj\nNf5FVb9P3x0brsemD81kTUw4E1bnWGFNmGyYkz8HUEQ1A/E8ALeFYfg6qlmKHwdwCMBq7z0kkUgk\nEok0pmRjwvbvQRD8OoA5AH4RhuEvRj/qA/A5ANvCMBxKoI9trTRj7S6xxzisiY+xsTisKqxjKln8\nXnW9yBiIYR1ZvaY/y343qS/qMxdF9TeNsE6WWRPZfbBhTXieQwzrRLUJmIV1xGuifrblIEQ988zn\nlWEdXfsusuV6ZOVM+tBM1sSEM2F1jhXWhMnK56TdlRZzknac3cZno7t7IgYHS1i58umm58/hDYYA\nJM6aiIzBm2+eksaDbbgQIFv5c3T16XLr+FSWOROgsX/d3RON/V54hkDGZES1yc9T9g/lnj2HG76U\ndHXlrdZeHNaErce+viNYsOA8lMvlhuvTZk18MG62rAmTijlJIn8Oe2bsy+mCBdOxZo2aX0qSM+GV\nNeaE5Elpx9ltfTZ6enZkJn+OGHO3rdMm/iuWffbZ16TxYBsuBMhW/hxdfeLfZTmGfCjLnAnQ2L9C\nIW/s98IzBDImw7RNoDGHE9/GokUzrNZeHNaEX4/9/cel16fNmvhg3JJgTXznzxGfWRgOYO9eNb/U\n6pwJLxvmhEQikUgkEilx0ZuTJijtOLssjq1ruxpfLzU9f44urGNTF2CXP0cV1pGNyUecN+p+pc2a\n+GrHtv2sSOwfe41v4vfCMwQyJiOqTZuwjqq/up9dWBO2HmVhnah2XWRSlw/GLQnWxHf+HACRYR3V\nmFqRM+FFzAmnpJmTrHmayK65447d2LXrDcydOy11T5M08+foym/Y8BJ27XoD8+ZNq4sbm7ImPvLn\nmHxuK9vnZppDxLXtLMkl3xR/rchImeTOYdfyPkLsH56RkTKGh6tfCHgGgu+XKWtikz+Hl8jPPPDA\nKwCqSUHbwdOkt7cKu1911RO1pH733PPJyDpkXlBZYk1M9584IuakzdQKniasTH//8dQ9TcSz/Gnk\nz9GV7+8/Xhc3NmVNfOTPMfncVkk9N9e2syTdelHlm+Kv1eWZiWqX9xESeQImxkDw/eLr17Emrvlz\nVPxMsVhqC08ToLpWmX/SI48cQFdXPjYj12zWxHT/ybqIOSGRSCQSiZQp0ZuTFJVmrN2Vfejs7KiF\ndZKM96rqTTt/jqw8H9YxjavbthlVn8nntkrqubm2nSXp+qfKN8WXFxkpk9w57FreR0gX1jHlC8Sf\nXfPniPwMH9bRteki07riMhXi9WJYJy4jlwXWxHT/ybqIOeGUBHPSTE8TG9aExb2XLJmJjRs/LTXe\nSuoMfVZYk3XrdmPv3vp74NvTRHZdkqxJHC8aH8xJK7MmrL8mvhY+WBNfniZi32xYExUDA5xhbw4d\nOjVmPE1k4r2gTHxjbPKTxcmfkwZrwkTMSRuomZ4mTC75c2T5VJI6Q5811oS/B749TWTXJcmaJOVF\nE7f9rCjOnE6KNYnraSLrmylrousXY2/I08TcC4q1bZqfLE7+nHZhTZiIOSGRSCQSiZQp0ZuThJV2\nrN2VNWFx7yVLZirzqSR1hj4rrAkf1jHJpeJ6P9JkTUy5hKTUyqxJVH99sya+PE3EvtmwJioGBjjD\n3qTNmvhgpcS1HtfThHlBmfjGiPdUVy5O/px2YU2YiDnh5JM5yTproso5I8unkgRrIjvLP2fO1Fis\niU3+HH4sYmx+xozJtZiybIxJsCbNyp+ja8eVOck6ZwLYPUOVrwX7Mm3DLMhy7/jyNOH7ZsuaiP4b\nMs6lUBhvnGNIp7Q8TcQ64rImrD7mBSX6IMnKRrEmKk8T0+efJmfCi5iTXidfkQAAIABJREFUFlbW\nWRNZeUCeTyUJ1kR1lp9XGvlzADTE5h966PKGmHLSrEkaniZJtGPTdpbkizUB7JgFXe4dsT5Vn5Jg\nTUT/DRnn0tOzwzjHkE5peZqIdfjKn8N7QenurwlrotoHTZ9/u3EmvIg5IZFIJBKJlCnRm5OElHXW\nhP3NJueMad02/dWFdWzrch2LLDbPYsriNao6VL+7XOdjvjSTNck6ZwL4YU34sI7pOGW5d3x5mvB9\ns2VNRP8NGefCmBOTHEM6mc4PH/uOb9akt/eMF5TogyQrG8WayPZBWVnVvWg3zoQXMSec4jInzYi1\nu3h76OKgLL4uehkA/jxNssqasDGyxH8iFOzqIZOWp4muPpd2bJmTVmNNTOP17D787GfHsWLFVlQq\nFcydOw1dXXmjcfJrjs11ABgeLmPfvqN1MK2qTya8konnhqpfqtwtfLtROYai5OJpArjtO0mwJmy/\n0HlBAe2TP0cnYk5aTM2Itbt4e5ieuU/K0ySrrAlQP0bR68XVQ6bZ+XOSaMem7SwpTrye5zJYPhaT\n68Q1J4r/m6pPtn47Lv2S5W7h647KMRQlF08TwG3fSYI14fcLlRcUQPlzfImYExKJRCKRSJkSvTnx\nqGbE2m3jjzZn7mU/6+q26W9WWRMAyrCOyz2JmhPEmqSrOPF6xmWIYR2TNtmasw3ryPqtmnsmnhuq\nfqlyt/D1ROUYMmlPNQaTMi57A+CPNWH7hc4LCqD8Ob5EzAknV+Yk654m7BqT/A68l4HPuCbrc7FY\nwosvHkFHR64GBNrUHzd/zl137a3bxGV1yHwtbGO9WWBN4rZhwpy0AmcCxIvXl8sd+NSnHsGhQ+/i\niis+gHvu+WRsTxNfrInv/Dm6uePie5NW7hyxHh+cCatT5oMENN4HG9ZkaKiEvr4jyOX0+ZP4a2yZ\noiRFzEmLKOueJuwaE9aE9zLwGdeU9Vn0eYjrW2CTP4cpbh1ZyJ+jqo84kzOKE69fuvR7+PGPq+Uf\neeQAurryXjxNfLAmvvPnsDZ8PVcXzsS1fd+cCatT5oMkkytrosufpLpGLNOOIuaERCKRSCRSptR5\n++23N7sPmVG5XLl9aGjY+rolS2bixIkiLrxwKnp7F9ViyklJbO/Tn35fZPtLlszEsWODKBZHcMUV\nH8S6dZ+QlrviivMxMDCECy44Fw88sBRvvz3sZVyszx/96NkoFkcwdeoEbNv2WQwNjVjVz4/dpH+y\n8h//+Ln49V+fgrlzp0nr6OoaBwBgc8G2TfEaWTnfc0ZWX9w2xPtg2m4W5fIMma677gI89dRPMTxc\nwdVXn4+vfW2x0Tivvvp8/OAHP8eUKWfm+gUXnItZs87B8HAZy5d/ABdeOFU5D8V+i31dsmQm3nqr\nuqavvFK9pmX3gt8LHnxwWUPbsnZN5oOsLZO9ycfcFZ/xyZNFDA2VcM45XVb3R6xTvMfveU8BQON9\n4J/31q0rpGEX1sdf+7Wzcfr0SK3sZZd9QPucT5wo1u1bzV5rXV3j0NnZ0ZtkG8SccLJhTprtaWLC\nmrj4gBQKefT2LsYtt+xQ1uvS3xtvnINrr90GAE1hTVhSP9HTRFZHd/fEhtw6uvKqdpNmTXx6msik\nYwzanTXh8+d0dOSwePFMfPWrC61Yk3K5gvnzp6NQ6KzNfx6mdeFM+L7ZsCYy5gxonNO6tm2Yk1b2\nNAH0/Ah/H0xZPvbM+KR+Wc+foxMxJxlWsz1NmFzy50TFfXfufB39/ce15W37u2XLT2sx92ayJipP\nE7EOMbdOVHlZu7JyPucNeZpEy5U14VkDAPjxjwcwMlK2Zk0OHqz6ofDzn3mkuHAmYt9MWRMZcwY0\nzulmsiay/ti25Ys1MeFHWNumvlH8fDpwwDx/0ljwNJEpm+9gSSQSiUQijVnRmxNHNdvTxMQDwMUH\nRBbW8dFfXVjHti5TPxe+PB/WMbl3prl1dO0m7WtCnibRcvWGYL4WYljHRMznwjasI+uzag7Z5s8R\nPU1Uc9rXc21lTxPAzKuEtW3qG1UqlevCOroxjzVPE5mIOeFkwpy0CmtiGgcV45oqAzKX/trkjYiq\ny0f+nNWro9sfHCxh/fpqmVWrFgCIz5pkOX+OTjq/l6zEvmWKE68fGBjCVVc9gcOHB2ueJipfC7FN\nNtfmzp2KfL4DpVIFL754uM7TR+dV4Zs1Ua0dwI41YYpiTtLkTMS6fOfP0d1fxqT96Z/+QLvHqvZB\nE9YkS54mMhFzkkG1Cmtimz9HjGuq8ka49jcqb4RNXaprZWX52PyePdHt83WwNydxWZM0PE2SaMe0\n3awpTrx+xYqtNSaEeZqofC3ENvm5JkrmcyL2xzdrolo7QDKsSZqciVhXEvlzdPe3p2dH5B6r2gdN\nWRNeWV1rSYqYExKJRCKRSJkSvTkxkPj6kCnp+B//iu8LXwjQ13cEpVIZa9aciX3zfWDhnBdeeBMf\n/vBZ6OjISWObsnrnzJmKiy6ajokTxzuHdXiL+vPPPwtHjw5i6tQJyOWAXC6HuXOrbUTl/hCPIO/a\ndWg0fj9tlIlRj+f3fu/XAABDQyW89NIR/MqvTMaxY0OYPn2ilnXh6/jiF2dh7943MTJSxurV8nut\napsfm+4zF8nqu/XWBejp2Qkgmbk5OFhKtH6f0s3rqHt/6NDbuOSSx1GplPGhD03G8eNFXHHFByLH\nyY6clkplnH/+ZLz1VhGf+tQMPPvsG6hUKjj33Ak4fryIpUtn4tVXj6NSQY1D6e1dFLm3iKGBX/3V\nbgDAxRerWQp+HbLyF144Bfv3H6ub0yMjZZRKZfT07Iz1bE3muVimUjnDwtmuDfE5v/TSYQwPj2Dy\n5KoPy7RpE3HxxTOs6mPHfD/84bOQy+WU93dgYAif+tRjKJcruPbaX8XLL7/VwJqw/r399mmcddZ4\nVCrAb/zG+/CjHx1DpQLpHs7b2n/kI90N82Qsir6cGKhZr7P5doPgbIThQGSYhr1qBIDrr58V+WqV\nr/f662fVUqK7fDmRvZI8dep0rY2DB08o+6Sqh39du3jxeyPHc/31swCg7j4AwMmTp3HvvfuMwjKz\nZp2D/v7j6O8/bvXqXByb7jMXyerr6dmZ6NwUj1Rn+fWybl5H9ZsPu+RyHTh48HqjNvkjp0zPPnsI\nJ0+ertV18mQRW7b8a+1zfh5HPT/Zmooaj+yajo5c7X6wOe1r7pjMc9kadV0b4nNmYTima66Z6RzO\nieoP/7wrFRhb1L/66nF84hPvxbe/3S8NOYnPAlDvd2NFFNYhkUgkEomUKdGbEwM169iky/FZ02Nt\nNvXa9pfPvCo7JWNaj2n/ZM+HHbXkM7+aHgG+++5LsXbt8ygWS0ZHTmU/R33mIll9Sc9N3ZHqrCnO\nvP7nf/4cLrnk8drPptIdGwagPKUj67Pu6Lnqepn4dchO6cjuRyseGxbL+zg6bHM0e+vWFbj66icB\nAFu2XKXtnyzzsGwM/O82z7ndRUeJOfFHiZt1bDINi3pdWdu06DqbeJOju7q6bC3q77prb21xA3A6\nerx27a7I49RpWtSr6kt6fopHqrN2lJGXzRoQxVgToPqlZMaMX2ooIztSzVuRL1x4HlavXog779yN\nPXuqR4mZC3Hax4aB+rUjW0euc8f2aHmWjw0Deot6sW3emuEb37gMEybk6/ZIVaoO9qUk6uh/Fi3q\ndaKjxE1UFjgTpiQs6qPKmkrFh5ge3TWpS3Wtrrwol2ONquPUJkc+kz46nOax4WKxlOnYd5x5zbMm\nl1zyuBFrIjIKBw6cqJvrqnmY1rFhfi3I1pGvuWO7DoDsHBsG3C3qJ00aX2PzZP3jUxWsWLEVixbN\nIIt6BxFzQiKRSCQSKVOiNycKZYEzMYnNyuLLUXFfk7Iu/Y0K69jWZWtRrwvrRF3P/xwV1jHlBHR9\nt1EzWJPe3kUoFKrbA3PKzarizGsX1oQxCrZhHVmfxZ/FNkwt6lVrp5msSZY5E8Ddon7Dhku1/ZOF\ndWTlkmL/2kXEnHAaHh6pHDp0qi1ZExM7e8CcOXGJsUbV5WpRr7KINrWaZ3Ww31V25WmyJmlZ1Ova\nNLFtb6ZcWRMTzoQXsytfufLp0XlWRl/fUcydOw1ABX19R+vSM6isx03t3U1ZEx2zALhZ1EfdBwCI\n2iPblTVhbcnug/gfZnfe2foW9ToRc9IEtStrYmJn79pf0xirSV28XDgRIHqMUXWo7MrTZE1UdSU5\nP8W6TWzbmylX1sSFMxH9XoB6tkSWnkHsj8mzs2FNopirpDilscqaiG3peDv25ows6t1FzAmJRCKR\nSKRMid6cCGpX1sTE/8S1v6Yx1qi6bLgZ8WcxrKNr1zUWniZroqoryfnZrLnvKlfWxIUzYX4vLmEd\nsb/iz+KYTFkTU2aBWJN6ubImurGIYR0Txog8TfQi5oTTl7+8vZKmp4NLbNaUH3GNx9ukRY/DmsTx\nNOHvlWh0pIof6+oQ27Xxc2gXTxOT+5AFxfGGsGVNWHvr1+/F0FAJu3a9gVwuh0cfvRJf//pLtTW4\nZs3CBt7Ado74YE18epqo7gMg973xyZmI9flgTWzvr26PLRTGo6dnB4rFktUe2A6sCRMxJylr8+b9\nqXo6uMRmTfmRpOKavliTOJ4mTOLvuvixSR2mjIqNX4Wtmu1pkkT9PhXHG8LV00ScM3w9Imsi40TS\nYk3S8jSR7ZE+OROxPh+sie391e2xPT07sHnzfgB2eyCxJnYi5oREIpFIJFKmRG9OON1ww+xUPR1c\nYrOm/IhrPN6mz3FYE9sz/qp7JYZ1TNv0xZr45jRk9SXNgrQSa2I7b3i5epoUCnmrsI7LHPHBmiTt\naaLzvfHJmYjXpJ0/J2qPZT4nqrCObAz878SamImYE058bp0klTRrYuppIpOKM+AZFj6pn+48f9TY\n4+TPMfU0cWnTxM+h1VkTk7qzxJy4MlSDgyXccstz2Lbt3zBt2gQ89dRntVwSfx3Ln9PZmcPChTNw\n+vRIbc5FeZrwfQbisya6PSNp1oTVs2nTsrqcMr45E75O9pxzueo/5gw6tt3PbDxNouYXK1Mo5HHL\nLQvxm7/5eK3escCaiHNh8uQCMSftpqRZE9+eJqo+R53nj6rHR/4ckzG6cgrtzJq0EmcCuMfr167d\nhe9+NwQAnDxZjOSS+Ov4/Dk//rGdp4msz3FYE92ekRZrUijk63LK+OZMVHUyuexnNp4mUfOLL/Po\noyEGBsYWayLOhQcfXJ5oe8SckEgkEolEypTozUkTlDRr4tvThO+XGNaxjS/HYU1UYR3fbcquazfW\npJU4E8CdoertXYRicaQW1onikvjrWP4cm7COrM/iz7J2olgIXV1p5c8Rc8r45kz461RhHdt6bTxN\n+HZl84v9rgrriOXE31udNdHNhSREX05SlI/8Odu3XyMtF4czMenvrbcuqNtEt2+/JrL/urruumsv\n7rprrxVrsnbtLmdPk97eRVi7dpe2TXbdmjVPA6iCf+Kr17RYk56end7aiGovy3JlTQYGhvCZzzyB\nI0cGceWVH8D+/b9rNFaeNcnlgHnzpqFQGIe9ew9h7txp2Lp1Bdat240VK7bioovka800BxP7x0q1\nrsW6+HVw661noNSurnxtnvqaO7IxqHIEAX49TUZGynXw6913fzL1/DmqvpVKZezZ8zpKpbJ2DxSv\nA8znbtakmwtJqrXuUovLNkZrGqtMgzOxyR1hU5fquijWJA1PExM/B2JNkpVrvH7Fiq04ePAEAOC7\n3z0wmmk6eqwia3LgwInaz/39xyM9TWR9jpsXy9TTxKRtU9nwVkC2PE2A5PPn9Pcfx8hIGUB0/hxb\nP56sqVl7BjEnJBKJRCKRMiV6c5KibGO0pnH2pDkTwC53hEldLqxJWp4mrn4OLiLWRC9X1mTr1hV1\nYR3TsfKsSS4HzJ1bH9aJ8jTh+yz+LP7NhEFQrRvVGkqCNbFhaVzaFMeY9fw5fX1HsGjRe/HVry5U\nlnXl3LKoZu0Z5HPCKQmfkyx7msjU3T0Rg4MlrFxZ5S7ELyWrVy80zmfiI38OH/9fuPA8bU4MVR0m\n8XCdn4Os3jj3WVVXUjyIa73N9DlxmdvsmhdeeBMAcPHF0fOFiWdUli9/Xw1wrFSASZPGNwCQIsPQ\nbp4mYj1ibh2+T65t+s6fAyTHmvB74P33XwYAtT1StobbydNE1n/KrdMGakVPk56eHUrWZM+ew04+\nIa75c8T4vy4nhqoOW9ZE9HOQ1RvnPqvqSiq222qcCeA2t/lrgCqvEDVfmHhG5bHHftLwuehrITIM\n7eZpItYjslh8n1zbbEXWJAwHMHHieADRrAmvVlhzvLKwZxBzQiKRSCQSKVOiNycJyyU+a8qQJMWa\nbNhwae2/jqLCOjrF4Uz4uDwf1rFp05Y1YZKd4fcZdzVhBHzGdluNMwHc5ja7hg/rmI6XZ1RMwjqy\ntmU/i2VaxdNEtnZULJZrm63GmrDnxufWEcva8ERZVhb2DGJOOPlkTpJkTUzjqi59Xr++aizFFh5b\nYCbMCF+PK2tSb7RWNV/Sxedd25Rdx8ryrEXSrEmz8+folDZz0sz8OZVKBblcDvPnT0dnZw75fIcU\ngLT1NOHb0bEmurmh4hfSYk3YZ3fffSnWrn0exWLJW3s+WBOb/VC3x4r3YWioVFcvy59TPZZ+KYrF\n0w1janfWhImYkxZWkqyJaVzVR5+ZXHPS+MqfY8Oa+MqfY/K5jcjTRC/XeP3atX7y5wCocSeA3NfC\nZX6YsCYmc0NsI23WZM+eN9Hff9xrez5YE5v9ULfHiveB75ssf866dYvq6iXWxK+IOSGRSCQSiZQp\n0ZuThJQka2IaV7UViyubhHWi6mGKlz/nTFjHd5uy63SeFCZ1RUlWV5Kx3SzEjW3E+tiM/DmmYR1V\nn8WfZe3YeqNE8QtpsSZMYljHR3s+WBOb/VC3x4o/y8I6AKRhHWJN/IuYE05xmRMXpsA0zp5W/pwN\nG17Crl1vYN68abjzzsUA7H1CbBgb0UvAxtNEVkcc1oRJ9HppJdbEZ71pMSfN8DRZsWIryuUKLrxw\nCvbvP4a5c6fVvpTceOMcXHvtNgDVf5Q+9KFzAMDa9yaKNYnyu2kWa6Jay7J/lF3aUyX1S4o1idpj\ndZ4msj1wxozJAIBDh0457T1Zk8t8IuakxeTCFJjGKpPyNNHljrDJn+PK2KhizyaeJlF1xGFNeK+X\nqLqilCZrkqWYsan+f/bePUjO6jz3fXqmpR7JiRDoAoLj2I6BSQDJaNAFwSAMOgaj2HLwcUj5D7Op\nJGXpxNvFho3HlhCGidiEKBQcgoORKt51iqTKWHCsbWHjWC4MslAhCTFyRKydRnYc27F1w5JGRppp\nTV/OH63VWr163b/13Wbep8rlme51+9a3vqXhe3/redPwNGHrhDEm/LrZvPmnGB4+52ny1lt3SfuP\nyprY+t2Yvg/NmpieZZ61iNIfL589zcXTxHY+bXKIbdx4q7Ye33YelNU9g5gTEolEIpFImRK9OQko\nH6bANs7u4/vgOmYxrGPLyojfuTA2fN9iWMeWN+DbCMWa8F4veWJNshQztpXP2mZ1fD1NXMI6qv5l\nP4tldKyJiR9JizVR/Rw1rCPudWJYJy7WxLTHyvYh13uW5/w5Wd0ziDnh5MucxMmaxOlpIouz9vdf\ngscfvwknTpx2Zk2ynj9HVlfGAETdhHV9xcGaxMWvxM2c+KxtX9aE51rmzp2BffveQaMBLFgwG6VS\nUQpAsvG4+t74sCY2PhlJsiayZ9lnPcjarFRq2LPnMLq6Cl57Woj8OSpvJfGPQdk8lUqTMTCwDadO\nnZkQniYyEXOSE8XJmiThaSLGWYvFLlQqVWfWJOv5c2R1dQyAb2xd11cc8d2sxoxN8lnbvqyJyLXw\n9ZlEXwvZeOJiTWz2gyRZk1AMhcnDyGdPC5E/xzQuJtk8DQxsw4YN+zrK5uW5Y8r6vkHMCYlEIpFI\npEyJ3pwEUJysSZyeJkxiWGf9+hvbXt3asiZZz59jWzdUWCcp1iSrMWOTfNa2L2vCcy22YR1VO7Kf\nxTKurImJM7Ht20Y2fEkohkLWphjWcVWI/DmycdnOPcutI4Z18qas7xvEnHByYU58eQIbT4e4OBN+\n3OyPIqDdaO3xx/cCaCb3itvT5I03DqOvbxaKxS6ruK2vp4lszLpYPvMx8GUt8s6aMMXFnCTFmvDP\n2vz5s1AoFLBnz+G2+gCMz6ON742vN0lSniaqtlyeKZf1EDp/josXThTWRDcHrC47Xlyr1XPHmoRa\nT8ScZFi+PIGNp0NcnIls3Lz42GulUk3E00SM9caRP0c2Zl0sn/kY+IpYE72SYk1UnAlfH4CVx4rJ\n98bXmyQpTxNVW3F5deja9cmf4+KFE4U10c2BLSeYZeVpzyDmhEQikUgkUqZEb0485csT6OKgTHFx\nJvy4bMI6pjbEn2W/yz7XhXVsxs7acImJ2445ROyVWBO9kmJN+GdNFtbhnwWTx4rJ98bEjJh+jtvT\nRNVWHJyJrN2o+XNs9k2bsibWRDcH7HcxrJMn5WnPIOaEkw1zMl5ZE/ZAPvnkMkyZUpTGlaOyJry5\n1aZNy/HEE3u1dWVthMqfo/s+qp9DnjkTXiGZE9/8OWzNjo3VsXfvUalviK4vFWui8jSR9a8DpLPO\nmvh6mshksx5C58+xXTc63yjVtap+Ns1TKGA+SYXeN4g5yaDGO2tSKhXx1FPLrNtwYU34nCVLl77Q\n+llVV9ZGyPw5Scbzo7av6ycPcmEG+DriepP5hpj64sVYEx9PE5nvTdZZkyQ9TWT98fLJn2O7bnTz\nqbpW1c+sntiuWCaqD1KSyuO+QcwJiUQikUikTInenDhqvLIm7JUmO8Ova0P8Wfa77HNdWMdm7EDY\n/DlJxvMnOmfiwgzwdQB0hHVCsCYunia61/hZZ01s2oyDNQmVP8d23Yj98r5RqmvVhXXEdvkyeQzr\n5HHfIOaEk445iSt/ThKcCdCZ0Ip5PIjjl8WVXVkTmccB21weeGCxVXw7rvw5Nt/7+jmMF9aEKQRz\n4rq+dWyUzXphf8i8+eYRNBoNFAoFJ08Tvi2gOdcy3xtd/hxfzkRX11VRPU1kUq0HWbu1Wj0Sa+KS\nP0e2xwKQ7h+2+XN0cxXVBykpxblnEHOSIfkwBTbn4pPiTERvEUacu+bPYbK9brHfN944bBXf9uFb\nVHWJNUlPrutbxywAbuuFydXTxMb35sEH1flzfDkTXV1XZcXTBPBjTVzy56juu27/UH1uw5pE9UFK\nSnndM5iIOSGRSCQSiZQp0ZsTjcRXewBarysHBra3PgPa43isXqVSxWWXTQfQnsMDOPfaslqt49JL\nz0N3d1cwzoR/ffzpT/diz57DqNWa/QBAV1cB1WodDzywWDp+2bWzuK+uHqszOlrF5Zc3r3vu3Bmo\nVut4550RzJ491ciatI/9cgwNHUWtVsfateqxyup+5jN/0BHHN33vIllbq1cvxMDA9iDt830AUK61\nLIoPecybNxP1esOYR0V8Zli4uVAoYMGCC1EqdWvXy6lTYzjvvMloNBqYPr2EgwdPY8qUbsycOQXd\n3c0s240GcNll01EoAIsWdXpt2KwPdm27dh3CpZee1wobsXsPdN4rvs7ll09HX99sTJp0ztsn5H02\nrUv2TPX1zcKiRRcGewY+/eleDA0dwbx5M1Cr1XH06AhmzOhBsdglnWtVeyzsNnfujFZYTrZu+HQG\nl102HQsWXIhGo4G9e9v3i2q13gr1XX75dDQawPz5s/Av//KOdC8T97BCoeDEx2VBIfe5NEV/nGgk\ney02MLDd6fgs0/XXX6wM5/T2nh9bOKe39/y2tPC9veejXD6Ot9/WW0iL19Dd3YVy+bjzcb633z7X\n9/DwGTzxxF7rkAwbq83xUbHuXXddoQ3nyL53kawtfm1EbV/sA8jPa1kx5GEzF7rX8+KzY6p38uQY\nAGBsrI45c34H5fLxtmdANR6b9cFfG19Oty8MDGxvq3PddRd3fB9HmFE2Nv6ZCvkM8O0yDQ+fcepD\nPDasq8uXBZprhNXj9wtxboHmf5yp9jJZedOelTWF3OfSFIV1SCQSiUQiZUr05kSjKMeGAfmxNqYk\njg0Dnad01q5dbHVsMMqxYUbEA5CeuHAZeyiLepvvXZTE0eE8Hv8DmmOtVuutNed6bNhlzbDvKpVa\n67jw1VfPxL59v2lb77pnUWxL/Nnm2kzPi24+klyXcVrUy07puPThctzcVFa8dleLetUR7zwor/uG\nKDpKzGlsrNY4ePCk8WiZ6liW6eiwj4W3i2wt6nXjf+SRZpk1axY6WfOzGGet1sDQ0BGnY8N8G4D7\nMUfdGH2O0+mO0EY54myrNI4Ny+R6lFh3vFZVXnfU3fbY8N69R9HXN7vFHLA/Svgj7LpnzTTfpdJk\nDAxsw6lTZzqOAJvWnm4+Qt5n3br0OTYsE1sPbI/MikU9f626a3exqBfLyOYhS0eJk94z6ChxCrI9\nBuhqocy+d7XwjjJ2XjZHB/n6lUrVyZpfZjNue2xYbMP1mKNujKG5jShHnH37yEvMWHe8VlVed9Td\nhTPh10u5fBy7dx9ua8+FrxLLDQxsw4YN+zrqmZ4P03zEeaQdgPfz5NMXUxoW9YD62HBUi/o8PXt5\n3DN0IuaERCKRSCRSpkRvTgSp4nUhWBOXmGqUsduEdVT1S6XmklizZmFHWRvWRBfWsRk7EJY1SZID\nCXU/8xozdmVNdGyUDWfiEtbx5auAcykdxLCOqW7arAlTSM6EbyNLFvViGSZfi3pZW1lWXvcMnYg5\n4bRq1dZGpVINzppkzaJe18aTTy7DlClFqNgbsR6Lqff1zUZ3dwHFoh3fohq/Tz1Z2Sgx2BAW/q7K\nCmfCyya2bmPJrqrjYlHPzw+fo+nZZ2/BnXduBXAuX5MuXYSsPVMZ5i5bq9WN9z7vFvU6Mfbm9Okz\nqbMmsj8iXJkb37nKCnOS5p5BzEnC4uPKIVmTrFvU822USkU89dSiF7MSAAAgAElEQVQy6+vmY+pM\nLnFb33ivaXx5Y03yGjM2rX2XOrq6fJ3Nm3+K4eEKAKC//3mMjdUBAEuXvtD63KU92zK8bBknmzJ5\nsKgH1OwNkDxrIrPJd2Vu8s6a5HXPsBUxJyQSiUQikTIlenPCaeXKeWBhHaYQrElania2TAT/OYuv\n2143i6nrwjou4/epJyubN9YkrzFjnjdy9bJx8TThP3cN65jaM5WRhXVUdW3mI9S9lrUTJz/B9gZV\nWCdJ1sTGq4RpvLImed0zbEXMCaexsVrjxInT1rE8HWuSlKcJYDZas/V3ANDhcyKrw3s38H3Zxm2j\n8BtxsiZMop8D31ac3hRZ4Ex4mfxeonia/PVfv2HkVMT5GR2tYsWKLajVmmEclo+qp6eoZb50bZp8\newoFYOrUyVi//kacOHHa29PEtm8bJeFpIuvr0UdvxIMP7sDp02cisSa2DJ4Nm+QzFz6cFK+0mZM0\n9w3Wd6lUxIYN+6Y2GveNxNVXtnbDjMg2lqeLLyfpaSKyJrzHg+v4RZ8TWR2eM+H7so3bRuE3kmRN\nTDH9ONrPi0J5mvAy3UtZvRUrtmDJkjnW3EsU1qRSqXp7mtj2baO0PE127z6E/fuPtX3vs7fZMng2\nbJLPXPhwUllSmvuG0PdjAD4XV1/EnJBIJBKJRMqU6M2JRLaxPB1rYhtPDTHGkPlzRJ8TWR3eu0EX\n1nHpV/W7S12b711kiunH0X5eJK4DH7bIxKmI86ML6wB6/wtVm7oysrCOqq7NfMTJmjDF5WkCqMM6\nrv3YMng2bJLPXPhwUllSmvsG/+/Ehg377ouzL2JOOJ08WWncfffLAPxZkzg9TWR9A+75c3QcBfM5\nEeOpKk8TF2Ykrvw5Nt+7iPk58J43E4k1YVL5vSTJmpjgV75dwG3dy8qI1wboOay08ufY5IyJIllf\n3d1dqFbr2LnzoDNrkldPE5nSYE7S3jPE/ufMmUY+J0lqYGBbZNYkTk8TXd+Ae/4cVkbmcyKrJ/M0\nYXKdt5D5c2y+d5Ho50CsyTklzZrYeJr4rnubawP0HJZpPuJaNzY5Y6LIdN9cWRPyNImmtPcMsf+N\nG2+NvU9iTkgkEolEImVK9OaE0/r1N6JSqQLwZ03i9DSR9Q24588Rf+Y/Y14GsnoyTxMXZiSKr0CS\nrAmbA97zhliTppJmTXzCOqZx6MrIrk3HYZnmI651Y5MzJnRfYljHpS9bBk+2t5KnSfp7Rhr9E3PC\nadWqrQ2Vvwegj5vmKX+OjqMQ46n8dbnG+VXjD8WahI7D8mf4Tb4Wvm2HGmsSEv1ebH0hZN4TLh4g\nq1cvbCXtmz9/FgqFQkcySRtPE9lYVP3y1yau0TlzpgFwY2/y6GnC98fPL/sDsbu7gB/84E/R1VV3\nas+HNQHCeproyrgqSeYkC54msr4pt07C2rBhn9LfA9DHTfOUP4eVsYlj8tflGuc3jd9UTzVum+98\nJLan87WI2nYe4txMrr4QsvIuHiDiGmcql4/jjTcOW3ErqrGYWCWxf0AeX0+KNUnS00TVH8/93Hzz\nN/Dqq3/i1J4va8IrhKcJsSb56Rsg5oREIpFIJFLGRG9OOK1cOU/p7wHo46Z5yp/jwlHw1+Ua51eN\nPxRrEjoOyjMGJl8L37ZDtJW0XH0hVJ4Sth4gPmEdl7GYrs2WYUmCNdG1EydrogvrAPZhHV/WBAjr\naaIrk2WluW+kvWcRc8KJ5dYRpYqbJuVpAvixJracCa/p06fi2LFR3HjjcwDa/yAR47yu3IFL7DQN\n1oS1N3361A6fk1Bt54E1AZrjZv4e99473zlnko2niWyNsOeM/6Okr28Wuru7pHBkqPw5Op8gnr1J\nO3+Obz4Y277YHNRq9Y78OTL2RtemK2syNlbH3r1H2+bWtIfFlT9Hp7iZk7T3DFX/oh/WtGklYk7S\nlipumqSniQ9r4suZ3HzzN6ScCZOvF4xL/DJN1uSs+2GQ9tOO2/qKH/err/7SOWeSjaeJbI3wzxkT\n/3NITxMTa+LqaWLbt41Mz0/U9lV96TxNXLwtorAm/Nya9rDxmD8n7T1D1b/oh/XMM7fEOg5iTkgk\nEolEImVK9ObEQqq4aVKeJoAfa+LLmfzgB3+qDeuY6pv6ySprwn5mr215n5NQbedFg4NLWv4eYlhH\nV4fJxtNENjfsObMN65jGYSrjwpqYOBPbvm2kaieOfDCy+yaGdVz78mFN+LCObr+y4UhcOaksKe09\nQ9U//7PKDyukiDnhxDMn4zl/jqre8eOjuP32FwEAX//6bZFZkyznz9HNEQNiK5UzwdrOi/hYfalU\nRLHYJc0pI5YH7NkIFeMwNlbHm28eQaEAXHPN7NYfJLbrz4c1aTQ6/TRElUqTce+9r+C1136VKGuS\nRv4cGWsisjcq1kK3Z+rKiqwJIL/XNu3HyZowxcWcZNXTROWHRT4nKUkXs8x7/hxVPZWnCdN4yp9j\nM0fr1vn9V0vaMeMokq09k/ePKxthw6a8/faJjs98vHxsxqsaJ9PAwDZ87Wv/CiBZ1iSP+XNsOQ8d\nawLI77VN+8SahO87rXERc0IikUgkEilTojcnCsnO+yfNmsSVP0dVb8uWFdqwjqm++F2W8+fo5ihq\nWCftmHEU8bF6PqxjKi/+bMuauIR1ZPVtxqK6PllYR6b1629EtVpvhXWSYk3SyJ8ThTXR7Zm6sjLW\nRDZGm/aJNQnfd1rjIuaE09hYrcHyiIgPwOhoNVbOBPCLw4p1xe9tOA7mR9DXNwtTp05u4wxs46B5\nZU2Aznn1jSnnlTVR3bsnn1yGKVOKHfOg43VUsX4dZ7J379FWMkn2B0MWWBPGlulyyuSZNRGT6zHj\nO5Uvieq5cPU0AdoTOrL9NKqnSVzzJSokc5JVzsT0PTEnKUgVs+RjsnFwJqq+o3ia6D7n68m8JRhn\nYBtvzCtrArj5r7i0nYc4N6C+d6VSEU89tUxbHlDnPWHf6fpgknEnTGmxJjyDpcopk3fWhEn0UXJl\nTVw9Tfh8PWw/DeFpkrf8OVnlTNIeG0DMCYlEIpFIpIyJ3pwIUsU1xbBO3H3bxmFln9n8zH/G/AjE\nsI5Nfdl3eWNNkmg7y1LdO5WXgY7XUcX6dZyJKawja8M0HlUZF9aEsWW6nDJ5Zk10YR1X1sTF0wTo\nDOuI38tYufGYPyernInN93GLmBNOf/EX/9x47bVfteKmAIy5NKIqjfw5wLl4eqPRQF/fbPT0FDE4\nuKSVP4OxN7o2ZOPPM2vC5BJTHg+ciS17E9rThP1RAjQ6fDVCrY2RkWrbM7x27WLtGpV5GJnmIQ/5\nc/j+XFkTJtk8uLAmlUoVe/YcQVdXQcuZiHOTFdaEKQRzklfWhImYk4TFexkUi82IlymXRlSp4qVx\n58/h4+m8pwTLn0GsiV+7WY9xM/nMRxyeJmIOHcYrhFobDz7Yng9n9+7D2jVq42EUB2fCFKdHRxZY\nEyYdZyLWIdYk2b6zsqcRc0IikUgkEilTojcnnP78z68CC+vwMWpdLo2oEuOlSeXPYfF0Mayja9dm\n/BONNUk7Lusrn/lQ1fH1NJGFdWzXsMv65J9hMawjysbDKA7OxHY+oyht1kQM6/Df6X4m1iTZvrOy\npxFzwonl1ok7dw6gZ01McfFQnia8yRWL8z/ySLNfn3wqqn5N9bPCmjDZ5hAJMb6k5crejIxUcffd\nL7d97+JpwvdRqdSwZ89hdHUVsGnTcjz22JttvIJuLKrxh/Y0ATqfebYebDksk5JkTVzz5+jErweX\n/DlxsSZx5s/RKY8+SCEZrrVrd+DNN49g//5jGxqN+1bFNeb87KoJKu7cOYCeNTHFxUN7mrCyfP0o\n+VTGO2uSlZisj1znY2BgWyRPE1kfQHvuJp7xyoKnyXhiTWyYHxfORFwPurEmwZqYxpAljQfOhP83\nBMBKALH9cULMCYlEIpFIpEyJ3pxIFHfuHEDPmpji4jZxWlU93tNEzF0yOLgEpVJzSfjkU1H161Lf\n5nsXxcGaZCUm6yPX+WjmGKq2fc/zWCZPE/5nXVgnKvciK+PjacJ+9u3bRkmyJirmxzd/DlsPLvlz\n4mJN8pY/ZzxwJuzfEBbWCTvKdhFzwunKK/9no1ZrxMaZAJ1eA4A6qV8I1oTvTxVn5uur8qmI5Xx8\nBbLOmjDpcojkkTXxmQsZfxSCNXn22Vtw551bAehzqpiuIQnWhKlUmoyBgW2oVKrBWJOk8ufw7fuy\nJqy9Rx55A9VqHZVKVcma8PegVmtgaOiIFVMk82BxZVGSkitzMp5YE/YfE3//9x/BtGkl8jlJSvv3\nHwMQH2cC6OPhprP6PqyJrD8xzsyXUeVTEcv5+AoQa5KOonqaqPIsifVtWIr+/ucxNtZ0WjXxB7pr\nSJI1GRjYhg0b9mnbsZHq+Yk7f04I1sSW89DtN4B63bmsLfI0Cde3D2tSLh/He94zGc88c0sMIz4n\nYk5IJBKJRCJlSvTmhNMVV1wAFtYJKTFV+I4dv8aRI6cxa9YULFhwIQqFAoaGjmD+/FlYtOjCthiq\n+DqTaXBwSdsr1M985g+k9U6dGsN5500GACxb9l78+MfHWnFmWX1ZPhW+3Kc/fTmGho6ir69zrKbr\n141Tdn1R5pm1xV5lA+jo27dN3/ElLXHeG41zHheyuRCvlfFH9947HwMD2zE6WsXll09HowEsWHAh\nSqVurF69EAMD21t1GNN06tQYhoaO4LzzSvjwhy/BK6/8EiMjNSxf/nv43//7BAqFJncyMLBdui5k\n42ES556VY+Or1RooFIBCodAap9gue0U9d+4MNBoNFAqFtuee7/vRR5vPBAvr+NwDdg3Mc6Wvbxb6\n+mY5P0u2/VUqVVx22fRWKO0zn/keDh8+jRkzelAsdmHRoous+mJztXPnIfzBH5yPxYsvRq1W62BN\n+Htw6aXn4ciREcyc2YOurgIKhQJqtTrWrl3cKi8+/2y8ALBgwWyUSsWOPcpn70lLae4bNn3r9mSx\nLXb/L730PADNcOm2bb9EofDYM3SUOCH96Ef/JVK+BJXEV5IHDjTt4oeHz6C//xIAzVdl5fJx3HXX\nFdrXnfx3AwPbW9+Z6gHAj398rO21tay+LObIt9Xbe75yrDbX73J9rpK1pZsj3zbzInHeAWjnQrxW\nlsrgs5/9Xsdauv76izvmF2jyHWx9ML366q9w8uQYAOBb3/qPVt+me+PyylkVzmHjFMvzr6hNfbNQ\np8/eII6tWDw3Pz7Pkmt/AHDnnVtbKSqGh8849SUcHcWNN74X69b1W/V78uSZ1jUeOHBCmv5DVo+/\nZ/waiWO+4lKWQzliGd1civef3YOzoqPEJBKJRCKRJo7ozUkC0h0bNh2htD36qfqOPykhhqtcjo/x\n43e1ifa9BlfJ2ora/kQ6Nmw63ik7uhnl2HDI4438+ExHh9lxSJ3tOv+ZLNRpK901xGG5ztqJw6K+\nv/+Ss0eJzyj7FU/pPPCAnS2C6mhy1L0nLWX52LBtGfYd/6w88MBirFu3C0NDdJQ4UTH7+lBK06J+\n585DAIBrr70IDz98vfTYnqwNlVU34GZRb+onK8eGZVLZtudBsnn1uQ/80dEzZ6pWx4bXrt2BXbsO\nodEAFi++CF/4wjW4446XAIQ/NszK3X//DutnyubYsKxvH7vytC3q2c/8HyW2R4dVx3rnzJkGoH0e\nVBb1PT1Fq31KNba0Lep1yqrVQEirBvFZAdD2+wc+cAEmTeqmo8R5ler4W1IW9QCksV7fY5muMVSX\nI85ZOzYss23Pg2Tz6nMffI4Ni+vuxRd/1rKoD31smJX7p386x46YnqmJZlEv7jm2R4dV954xSKay\nK1ZswZIlc5xSaYhjsz26nCWlzaeFtGoQnxUAbb+/9dZdoYatFDEnJBKJRCKRMiV6cxKjdKxJ3Bb1\nfFjHh/Nw5RWitBEHaxK1bZltex7kyt3o1lapVOwI6+jq1Wp1bVjHNBbTmGTl2NFcm2dqIlnUs599\nWBMTByIrKwvryMbHf6bjfnScU1aVNp8WiuEC5M9K3CldRBFzwikUc5K0RT3QjBF+7GPfwpEjI1i+\n/H149NEbvBgP3qp7PFvU69orlYpK8C+LipLWQFWnWq2jVCqiWOxq2dfL6gHJsiYyFsG0Tn1ZEyYX\n5iQLrMk998zvmH+X9lQW8vw8yFiTTZuW44kn9rauXfXs58GiXidxPWTZnt5lfDIOaHS0Kn12pk+f\nSsxJHqXzXYjDoh5o/lXL/FO+/vW3z/4D68548FbdE82iXmxv3bps/5cak8+acWFNmH296vskWRNZ\n/6Z1OtFYk82bf9ox/67tmcYqK7t06QutfmX1XDimPFnU58nTRFWGlRM5IP4+xJnWRSZiTkgkEolE\nImVK9OYkBokxW0Ad1lHVtf2ZacuWFW1hHV/Gg3k6yMI6NgoZ94zSl0/brE7ewjo+a8ZUTgzr6Mom\nyZrIWATTOp1orIkY1nFtz5c1EcM6ru2rrodYk2h9uzBcIgckhnWSFDEnnKIyJ3xMdWysjr17j2LR\nogvx8MN26cLF7+L2NJGVefLJZkZiV4+P8cCasPoyP4csKpSnCf8d/4/ok08uw5QpxTbGgNUdHa3i\n4x//Fg4fHsFttzX/GOaBb7YO42JNRKM1Vx8Nl75tmJOkWJPQniZ8myoWhInn0fg/gCYKa8KUtg+S\nC0Piw5rImDFRxJzkTLKYarl8HN3dbunC0/Q0YcneQnqa2I7DVnGzJjI/hywqlKeJ7DvgXE4Z2fev\nv36wla/luefext69R9s8Ndg6jJM14eXqo+HSt42SYk1Ce5qIberGyvNoPNcyEVmTNH2QXBgSH9ZE\nxoylIWJOSCQSiUQiZUr05iSg+JgqH9Yx8RC+nAmLEYb0NOGZE10dXRt5ZU1866cl2bh9OBP+dz4M\nweeUEeuawjo247EZl2p8IfLn2PZto6RYExWXETV/DmBmTfi9QRfWcW0/j6xJmj5ILgyJbTn+WZEx\nY2mImBNOPsyJztPExENE8TRZsWIL6vUGFiyYjVKp6MQXqMoAwCOPNDcG3tvC5vpdrs9HrnxFlHH7\n5FJJSiE9TfjvZGyEGFtn/wAy+PWaa2ajUACGho62cSamPm2+V43PxJpE9TSRyTaXCnDuWQ/NTiSV\nP0e3T5RKRXzpS4vx0Y++cHbvuRClUre2nk3+HPGassqaAOdyTgH2e2TIvkN5mrCy7P709c1Co4E2\nTlJXl5iTHMgUCwfCsya8bwPzNrFt2zR29jvvbaGTL+PgKle+wqe9PCikp4nsO7EMH1sXeQB+7fGc\nialPm+9N41PVy4qnSWh2IjRr4utpsmlTGcePN3kE1d7D17PNn5MX1oQfs+0eGUffQDRPE1aWvz9M\n4rOclog5IZFIJBKJlCnRm5OIEuOpgDoWHoo1Yb4NYljHpm1TGXZah/e20MmXcXCVK1/h014e5LNm\nXFkTkUFisXVTWMeVl9J9rxqfiTXJgqcJEJ6dCM2a2HImfFldWEdVzyZ/jnhNWX4eBweXOO+RIfuW\n/exahv+e3R8xrJOFe0DMCScX5iTp/DkjI1Xcf/8OvPHGYfT1zUZ3d0EaJ3aNS4pjtfX4SIs1Afw9\nTWzHlTXmJEqOHF0dlQeHmGPo0KGTWLFiCxqNBvr6ZqNY7EKtVh/3rAmTKZcKML5ZE2a0NmlSF77z\nnf8Lg4M7tNenY01CexQloTR9kEJ7mgDtz8qzz96CO+/cCsAtDxMxJxmWLhYeR/6cBx98Hf/0T53x\nQVk5l7ikOFZbj4+0WBPA39NkvHEmuu+icCbi96+++svWGmHeJkzEmjQ13lkTpr6+Z1vMia6eijUJ\n7VGUhNL0QQrtaQK0Pyv9/c9jbKze+jwtTxOZiDkhkUgkEomUKdGbE0/pWJM48ucMDi5BtVqXhnVs\n2laV8Y31psma+LY93jgT3XdROBOeMbAJ6xBrck7jkTXRhXVU9VSsScjnOSmluW+4Pi+mckD7syKG\ndbIkYk442TAnYjz1gQcWt20YrqyJLRtQqzUwNHTE6Bdgw5noYr063iKv+XNC+VokLVfWxPb+mFgT\nVr9UmowPf/g5HDx4Gh/5yHsxZUpRyn7ElT/HxG+FzJ+jE1sPBw+elK7JpPLnsD5trlnVpok14ftm\nRmsMfp02raRMiDlePU1c98i4+/YtB5xjTWq1Zhinu7vLiTPhRcxJBiXGU99447A0DgzYxdtd2QCT\nX4CsX1VbEyV/zkRhTVzvj1hO/H737kP4t39rrucXXviJdIxx58/RPVMmHw2Xvm1kWpNR25f1I14/\nAKtr1rWpGytfjs+fw3uarFvX+V/m493TBMh3/hygnTXhP8sSZ8KLmBMSiUQikUiZEr05cZQYT9WF\ndWR1xZ9t2QA+rBOVM/GN9YbiCaL2RayJ+1riPzOxJuxnm7COTb+uZXRhHbH8RMqfw/MicbEm/Gcu\nYR3TvTBdUxY1XlkTMayTVRFzwknFnCSdPycN1oRJFk+dKKwJU5rMSWhPE/57G9Zk9eqFWLduF3bv\nPoSurgIWL56Der3uxZrE5WmSFGvCVCpNxsDANlQq1VRYk6ieJmJ7pjXC9pz582dh0qSu1vXJ/D0m\nEmvCFNf+4JoXx/bZYvdn3rwZ+NGP3kFXV8GbNWEi5iQjMnkuAGHz5xBrMnFZk9CeJrLvdfVFHoAx\nJ7K6aXmaJM2aDAxsw4YN+9o+S5I1CeFp4srDsb54yfw9iDVJp1+XZ0uWPyfLrAkTMSckEolEIpEy\nJXpzYiExXgvEmz+HWBN5WxOBNXHlTEx1+M9sWBPbsI5Lv6rvVeMzeZokzZqsX38jALSFdfjxxs2a\nRPU0EdszrRFVWEfVB7Emyffr8myx+yOGdbIuYk44icxJ6Pw5LvlOACj9CHxi/T55ZcZz/hyd0mBO\n4vI0AdSxftn6rtUa2LPnMADguusubhmu+TAuqu/FclnIn6MbHzOjO3HidHDWxJSnJwnWhM/Z1Wg0\nWsnf+JxJQPtzobsX4yF/jm6MofeHODxNGGvy+usHcfToCGbPnopvf/sTkTgTXsScpCxdLDwJTxNe\nLqyJjweGTD78g48mOmcCxOtpolqrpjXHe1vo6o3H/DmytiqVanDWRLf2k2JNZDm7xJxJonT3IuTz\nnJTGm6cJz5oAwPDwmVxwJryIOSGRSCQSiZQp0ZsTjXSsSZyeJrKwjqntKH2r5MM/+GiicyaA+1y7\nrAHVWpWtb11Yx2asNt+L32Uxfw5fnw/r8OMNwZroxpsUa8Ln7OLDOrr+dPci5POclNLcN1yfF1M5\n9n2tVm8L6+SBM+FFzAknxpwklT9HjA2b4suusX7APdYrejqMd08TmZJiTuK4nybeQOZpIv7D1Nc3\nC8ViF6ZOndwy3QqVP4cvl0XWRDbnjzzSnMN7750fzKcjTtbElD+Hlb3//h3YvfsQarUGuroKuPba\nizo4E16l0mTce+8reO21X1n5LvHXNB5YE6YQ+0McniZA2Pw5OhFzkpLEs+Fx5c9RxYZV8WUfPwvX\nOKro6UCeJvEpjvtp4g10a45J9LdYt26Jl6dOHlkT3Zy/+uovg/l0xM2a8FLdK8aaMB04cELLmQwM\nbMPXvvavynERaxJPvy5l85Y/RydiTkgkEolEImVK9OZEIvHsflz5c8TYsCm+HCXWbxtHVXk62I7B\nRROdNYnjfpp4A/F727COzfyOB9ZE1k6p1NwmxbBOFMXJmpjy57Cy1Wq9I6yj62v9+htRrdZbYR0X\nDi2rz2Ra+4YrP2JbNm/5c3Qi5oTTqlVbG6dPnwmSP8c2DwoA69wUURkXnURPBzG5VxZZk5Bj4hUn\ncxLX/bTNnyPCr7zZlvhHwpw50zAyUsXdd79s1beujGyMOtYk6fw5ujX56KM34sEHdyg5rFD9+LAm\ncXmaiPXWrt2BN988giVLLsaXv7w41/lzoq6ZKPtDnKzJH/3R/8LPf/5bvO99v4vvfOePg3MmvIg5\nSVhi/gxRIXwoZHFZ29wUYr+ufesk1lm3bon2+yywJhOBM7G9nybeQMd5iDFqpo0bb8XAwLZUWBOR\n+4o7f45uTe7efQj79x+L3IepHx/WJAlPE/5e7N9/DLVaPdf5c/LgaeJadsWKLfjJT4YBAD/5yXBu\nORNexJyQSCQSiUTKlOjNCaeVK+dBF9Zhsom12nAmfIzYJjdFVMZFJz6+LgvrZJE1mSiciQvvYcqf\n4xLWAXB2LVSt+taVkY1Rx5qI3FfUvk3StSOGdaIoNGtiYozEsj6eJuxe8GEd3zFkQWnuG3GyJnxY\nJ6+cCS9iTjitWrW1IYPeJgJrwurMmTMNgDm3jquy6mkiUxzMSRqeJqyM6Nnz8MO7sHPnIQDAtdde\nhLVrF0v9UJi/x5o1C4PlzzHlpbJhTZJYl/x4n3xyGaZMKXqvhzzlzxHr8ffi7//+I615mCieJjK5\n7g9xcSYjI1V86Uuv4Tvf+RkKBWD58g/g0Uf7Y597tjds2LDv6Ubjvs/F1U/2VlCK2rBhX4eXATCx\nWJONG2+1HoOLyNMkeU8TVkbl2QM0vS127z6s9UOpVKpB8+fouAQb1iTJdQk03yY+9dSyWPrIcv4c\n8V685z2TW/NAnibx9Ota9utfL7d+//rXyyiVumO/Lm6Mfwlg4v5x0tvbOwPAUclXL5TL5Tt6e3sL\nANYAWAlgBoAdAD5fLpfLkjokEolEIpEyrsz/cQLgQ2f//yMAfst9/puz//9lAF8EMADg5wDWAni5\nt7f3inK5fNKlo5Ur52m9DMYzayKrk0XOJPS4kpLP/dSVFz/X5c8RPXtMYR32/8zfY82ahc7XI36n\nC+uI5U2sSRLrkh8v8/4J3QeQ7fw54r3g5yHk85yU0to34uJMBgeXoFKptYV1krgutjds2LDv6Tj7\nyTxz0tvb+98ADJTL5Ysl3/0ugF8D+Ktyufy3Zz+bjuYfKQ+Vy+UnXPpatWpro1KpBsuf48qZqNrW\nfQ+4x3p1fUyfPtXK28JWWfc0kSkUc+Kaj8bWI8KXNXnoobKju+kAACAASURBVJ146aX/wOzZU/DC\nC3+EJ57YK63H2paxFnHlz0mSNdE9qzKfGN/1kCXWZN68mfjRj46iq6ugzbWiuw+yvYG/piyyJnHs\nG7brIS7W5ODBd7F06QtoNBr46Effh6lTJyUy9/za6O+/BF/72r9ObTTuG4mrv2ytJLnmAVAZkFwL\n4D0AtrAPyuXyid7e3m0APgrA6Y8T5nMSKn+OK2eialv3PeAe6zX1YeNtYSvyNInOjfjU0bEmw8MV\nLF36AoaHK9J6rG0ZaxGHp4lsvHGyJrbPapQ+ZP0A2WBNdB4Ypvsg7g38NcnGkLbGo6cJ/+xu2nTA\nqk4IiWsDwGOYyMwJmn+cjPT29u4A0AfgHQBPlsvlxwBcfrbMT4U6PwOQ/7NUJBKJRCJNQGU6rNPb\n29sN4CSarMkX0AzXfAzAvQAGAVQBfLlcLk8R6j0M4P8ul8szXPr7i7/458Zrr/2q5fugsgBnr34B\ntHJYsFessth6tVpHrdbAnj2H0Wg081gsWnRR2ytTW/tx8TW56XU5L10fvH394OD1+NKXtgHwfxWq\nmivAfrw28xKHQtlT60Iustf7qnUntt1cT3UMDZ3Lg8N7haxduwM7dx5CrVbHO+8037rOmDEFXV0F\nHD16GkABt976PvT0dHcwIPzPfFjH9j6wcqOjVQwNHUGt1kChABQKBSxYcCFKpe62NcdeE8+fPwuF\nQgFDQ0c6wgmh1oAu1HTPPfNxxx0voV5vdIzT9+iobO3Xag28+ebh1rzI9gJVewBa4wSATZuWS0Nz\nx4+PYsWKLajXG7jiivPx0ks/R09PF2bPnopisVsa1mH3YufOQ9I9ih0frVbrOH36DIaGmsyK7Bh6\nFhTnvmFaDy59u5Q9ePBd3HDD8zh9egyFAtDTU8Rtt70/1rCO+IzWag1s3foLzJkzFf/2b8cvaDTu\nk9tLB1A2VpJaDQC3AfhFuVz+j7Of/bC3t/d30IRg/8fZMjLVXTubPLkb5fJxlMvHsXLlvI5X2g88\n8HLr1dvKlfMAnAsFlUpFbNx4Kz7/+Ze1n7G6prZd+paVl0nXB/9dV1eh7Uixj0KM1zTmuFQsNo2T\n2SbkIn687P6bykydOlm77mT1rrjiAmmdz3/+5darV14nT4616u3ffwzPP3+gVe/zn5ePmZ8H2/vA\nlxN1882/17Hm+NfEK1fOw1tv3aVtM8oa0K3J3bsPtUIf4jhd14OunyuuuABvv32iVdbmevj2+HE+\n/fRb0vX14Q8/3yrzi1+cxNhYHWNjdbz3vUX86Ef/RdkHv25k+wN/DWztTZ06OfJeEYfi3DdM68Gl\nb5eyvb3/L06ePGeO+Wd/9oex74fiM3rFFRdgeLjCwkoPY6KGdcrlch3ADyVffQ/AKgCnAJR6e3u7\ny+Vyjfv+dwGckNQjkUgkEomUcWX6j5Pe3t45AD4O4Jvlcvkd7isWxjkOoADgAwB+wn3/+wCcfU4e\nfXQpRkaa/4W5Zs3Cjtd2a9YsbFl5s+OV/O8nTpzuKMM+O336TIuAt2nbp2+TdH2w70qlIh59dGnk\nkyohxmsac1yKEtaxGa/v3PD1+PALX4dfayxUsmfPYQCdx4Z1a1acB9v7wMrJQieyNWd6Lmzn1Ea6\neVfNpzgPIfrhT+nYXI/Nfee1efPHsWJF84zAs8/egjvv3Nr6XHffdPeCP07O2y0k9Uy6Ks59w7Qe\nXPp2Kfvqq5/CDTc8j5GRKm6//YOJzL24Lh54oLl/nD1KfF+cfWedOfl9NP/ouLdcLv8/3OfPA7gK\nwAI0Ddoe5I4Sn48mm/Kg61HisbFaQ7zZvseGxZi6z/HIEBb1rkeTeft6V8VlqZ90HNvnjxPXY8O2\nxzBdGBY+b86ZMzV873u/wOzZU/Dtb38CPT1F53vjcqzc5eiwzXNhO6c2Mh3pNTETvkdHxX5cjw6n\nYVEvY31Yn9OnT8XAwLZWjqGs8CVMSe0bsvUQel9mOn58FB/72Ldw+PBpzJ49BUuWzNHez1Bi3BLQ\nzNvD7x+rVy/E44/vndj29eVy+d97e3u/AWBdb29vHcC/AfgTAJ8E8IlyuXyqt7f3Ke77AwDuRzOk\n8w8hxuB7bJh9FuV4pG0/ruPXfR8lfhxivDZjzqJcjw0zhbKoV3Eew8MVrFixBUuWzPG6N7bHyl2O\nDts8F7I2Qx0dBuRHeqP04dKP7dHhEMeGXS3q+XGJ13P2v5aVY0hbeTk27FJ+xYotOHCgSSicPHkG\nP/nJsPZ+htKKFVta60jcP7i1OLHt6wH8GZousP8NwBwA+wF8slwuf/vs92vQhF/vA/A7aNrXf6Zc\nLv9W0haJRCKRSKSMK/N/nJTL5REAq8/+T/Z9Tfd9VMnshF0+i2LFbduP6/hdvndRiPGGHlNSshmz\nj+W3jU05+1kV1mGvZcXyNmNev/7GVkzcZHUOQBnWEcuangvb8dlI147J+j1kP6429Tb3ni8bwqJe\ndQ0srAOgFdbJmtLcN0Lvy0xbtqzoCOskcW1btqzoCOsw8WGdOMeQaeYkafHMia0dvSxuKMbrZJ4C\nLhxIEqwJb1ENROMtgLCW+knLZQ7SZk10FvW+rAnvedP84+QMZJKNUefXkKRFvawtAF7eF7r1YHpW\nk2RNQljU6+bNtB7SUBr7Br8e4rCoHxmp4otf3I6XXvqPVs6cRx/tT8Senq0lxioBcj7rySeXYdq0\nUiHO8WT+zUlasrW4lsUNxXidaBXtyoEkwZqkbVGfR84ESJ810VnU+7Im4vfr1sn/S003RlnbURks\nV5nmPY4+xPlNizWJYlFvmjfVekhDae8bLv3bln3wwdfx3HNvt37/+tfLKJW6E7Gn59dSd3fTz0W2\nFkulIp555pZYx9MVa+skEolEIpFIjqI3Jwq58hP872K8zqbtKH3bjt/lexf5sBRxjidJpc2a8LyA\nGNbxZU3YZ6bX+LIxiiETsXwUBstVqrZ0YwzRhzgvSbEmYlhH177uPqjmLYthnbT3DZf+bcsODi7B\n6Gi1LayTxLXxa0nGKvFrcf36G2MfDzEnnE6erDRkng62MeCssyY2bUVJB55HTxOZbObA9V4CdhyO\nD2vy+c9/CLfc8r8AAD/84acwfXqP172x9bxx9TThPViKRX1OHtP8mKRbl755Vmx9LfhrrVabuY98\nOBOb9cLvNbzRWhysCfs9igdSaKW5b5RKk538XrLuaSKyJrxRo2oPmj59KiZN6ibmJCmpPB1sY8BZ\nZ03ijOdPJE8TwP1eAnYcjg9r8o1vvI2xsWYqqaVLX8Dtt3/Q697Yet64eprYcB5xeZqoWLEofbj0\n48OZMOnmg99r+vufb93/OFmTLOXQSXPfGBjY5uT3knVPE5E12b37HLsW0gfIVcSckEgkEolEypTo\nzQknlaeDbQw466xJ3PF8n/bTjhn7KgrTY4o3M9myJrKwjtheVDZGVs7W0wRAR1jHt2+TdOsyKdZE\nDOuEfG6Z+L1GDOvo+vBhTVRjSFNp7huMt7D1e7Eda1qeJiJrogvrJCliTjitWrW1sWbNQqlXgYoz\nCeHdENUnxNfTRCYTb5GEB0vaUs1BXJ4mYr20WROV502eWBPALX+OTjpfC7GfpDxNFi26EPfddw3u\nuOMlAP6sict6jZIQM4TS3jds/X/E8oD+2bv//h14/fWDeOedEcyePRXf/vYnlPcylFw8TWRjJ+Yk\nYW3YsA+VSlXrVQCE926I6hOSpqdJHB4sWVVcniZivbRZk1D5c9JkTYDxnz9ny5afYXi4AsCfNYm6\n9ySptPcNW/8fVXnVs8fuKQAMD5/R3stQcvE0AdJZB8SckEgkEolEypTozQmnlSvnYc2ahQDsORNT\nHFesE5JPCNG+q+LmYrKsqNwGsSbJsiZM4zF/jiyso+vDNn+OamxZUNr7BuvTNqxj++xVq/W2sI7u\nXoaSuJbifGZ8RcwJp7GxWuPgwZOJsCZp5s/RyZa3APKdP0cnFWsBhGVNfPxznn32FnzmM9/D4cMj\nuO229+Fv/ubc63m+bhTWRJwH9kyYWJOkORNZW/xcRGVNmGS+FmnlzxGT+ql8MEz3wme9psWcpLlv\nyPr24fJkZZLOn6Py+wHsnhn+uii3TgpKijVJgt2IkzUBKH+OrgwQJn8OoPa0eO65t1sOsFlgTZLm\nTFR9ho6by3wtVPcuyfw5jBWwXY9828SaxNe37bOXdP4c3XNs+28eK0e5dUgkEolEIk040ZsTQUmx\nJkmwG3GzJq5tpx0z9lVcrIntWhM9LfiwjqqvNFiTpDkTU1uh4uYyXwvx3iXFmohhHdO9Vd0LYk3i\n69v22Us6f474HMtYMdO/eUyUWydhrVq1tXHq1Blt/o3xkD9HJ52nw3j0NJFJZC0Au3sJxOdp8oUv\nXIM/+ZPvaFkTm/5d7gdjLdgzMdFYE5mvRRTWxHW98KyJmNQvrvw5UTyQQiprnAkvXx8k9v27757B\n97//CwAF/PCHn8KcOb8T05Wo9xrZHyGyses8kMjnJEHxcWUmXU4Lyp8zfj1NgGzlz3nxxXOeFirW\nxKZ/l/shshaixjtrIvO1iMKauK4XFWsSZ/6crDyfeeNMbOrJ5n7p0hdw4MBd/oN1GBO/XsVnBJCv\ngzTvAzEnJBKJRCKRMiV6c8Jp5cp5EMM6oih/zsTwNAGiMT02DAdg72kihnVM/UXlTIBzcWVVWEds\nZ7yxJqwuH9aJwpq4rheeNRHDOro+xkP+nLxxJjb12GdiWCdOqfYaW7YkzftAzAknPreOqLRZkzg8\nTWSaPn0qRkaquPvul73HGnI8SWtkpIpHHmk+tKq1kBRr0tc3C9VqHVu3/hKzZ09p5dyI6qliM8Zq\ntY5SqVnmzJnquM+fo+tn+vSpbT4nAIweR7bjls2pa/6cODxNZEqCOckya8Jk4vJk7X7xi9vx3e/+\nBwDgttvej7/5mxty42kiW0ulUhEbNuyb2mjcNxLXNeTjX4yExOfWEZU2a5Kkp8nAwLYJy5rw41at\nhSRZE6bh4Upr3UX1VLEdo0wTMX/O2Y24rYzJ48h23OJYRc7EJn8OeZqk17ePpwljxvLiacJ/J3z+\nGIDPBR04J2JOSCQSiUQiZUr05oQTn1tHVNqsSRT+wVXN+HrVe6yhx5OkBgeXtMIZqrWQFGsihnXY\nuvPp3/Z+sO9UYR1Z2fGeP4e9xufDOiaPI9txy353zZ9jug954UyA/LEmNnUGB5ueJnxYJ+5r45/j\nqJ4msp/Pvk28L5bBnxUxJ5zGxmoNMZ4ahTXJuqeJrC+RtwjJxWRZYt6IKVOKbbF133tpG+9nrMmu\nXYfQaABXXz0TP/rROy0AsqenGKR/G9aEwa+lUhHFYlcHe2OTV8qlb5PSYk1YP6VSEYOD1+MLX3gl\nkfw5WWNNmOJiTvLAmfBScXmydkdHq9iz5zCOHh1t+RNllTWx+beGtTt16mRiTtJWFNYkT54mYnuM\ntwjJxWRZ/NhLpSKeemqZ8nvAP38NoPYTYBwDABw4cKL184oVW7BkyZzU8ueI7I3JS8O1b5PSYk34\nfrZv/0/s338MQDL5cyYSa5I3zgSQc3m6doHssyYu/9acFTEnJBKJRCKRJo7ozYlBUViTqJyJT/tR\nJOMtQnIxWRY/XlneCN976XL/arW6NqwTun9ZOVVYRyxrw1zknTVhkoV1XJ9dl/w5E401yRtnAsi5\nPFm7Ylgny6yJzXoRwjrEnCQlxpyYOBNg/LAmYltz5kwzxlNtx5kHycYfIr+QbbyfrbVGo4F582Zi\n37530GgAixdfhP/xP66X1gvpeSNjTdimJrI3NqxJXvPn8O2IrMj69W/i9dd/jb6+2bHmz+nrmwWg\ngKGhI8b51XnLhGZNmEIyJ2nvG77963yQ+GepVmvgzTcPtz3LcV2jjm0CwrIm7I+dOXOmUW6dNGTi\nTIDxw5qIbW3ceKsxnmo7zjzIxz8mJGvCr7W33z7HmRw4cALFYpe0ns+YVdLFqEX2xoY1iXNtAvHn\nzxHnl+9n//5jieXPsZ1fWbt5YE3S3jd8+5dxeao2mdizHNc16tgmIBbWBBs33hruAhQi5oREIpFI\nJFKmRG9OJDJxJsD4YU1kbZniqXGNJQ2Zxh83a8LWmiyso6rnM2aVZKwJe30rsjc2rEnca5MpdP4c\n/meRFeHDOlGeBxNrIoZ1dPOr85bJA2uS9r7h2//goNoHiX+WxLBOnNdoyzaFYE1UOefiEDEnnA4f\nPtW48cbnAIzv/Dm6sZryysQxljSkG3+pNLktl4rLfbT1tjh+fBQf//i3cPjwCJYtuwRvvXWsBb/G\nnT+HLyv7o4Rnbxh/lFb+HBkDkhRrwpL69fdfgscfvwmVyhnr9gD9/eK5tmefvQV33rkVQDhPEx/O\nzaQQzEnePE1kdWUsFnuWzpyp4Xvf+0VbLqy4pHoudAn+XDgTXf3p06cSc5Kkbr75GxMmf45prKq8\nMnGMJQ3pxj8wsK0tl4rLfbT1tlixYkuLMfnmN/+97fO48+fIyopidUX+SNV2XJ4mOgYkqX4Y/7Fu\nnfq/GF3vF88a9fc/j7GxeuvzEJ4mPpxbEsqjp4lYV8ZiifeGz4UVl1TrVfUz4M6ZhPQRchUxJyQS\niUQikTIlenPC6Qc/+FPwYR1RcfEJUdr3lWqsprwycYwlDenGz1gLPpeK7fXaxn+3bFmhDOuY+vPh\nXFRlVWEdJsYfpZk/x3ZOQ/fDh3Wa86AO67jeL55rE8M6uvZdPE2y+IymOaYofYvPhOw7Mayjupeh\npHoudGEdWV3deg3pI+QqYk44XXnl/2xs3vzxTLEmcXMm4ueyvDJxjCUN2d7HUqnY+scoyfw5cbMm\nMs8CXUz6kUfeQLVaR6VSTZU1EWG8uLxT2O+il8ucOdMAyFkLl/uVh/w5OvkyJ2nvG1E8TWT1eBaL\nrc1qtYE9ew63PctxKW7WxOZ5I+YkYe3ffyxzrEncnIn4uSyvTBxjSUOu93HduiVBPU14nxCgM39O\n3KyJrG3bmLSq7aRYE90YovQDoON30ctF5+ngcr9ET5OJkj8n7X0jhKeJWE/FYgHqexlKSbAmvNJa\nQ8SckEgkEolEypTozQmnK664AJs3f7zj8zRZk7g5E/FnWV6ZOMaShmzvIx/Wsblml/uny5/j0pbL\ndYnf6cI6fNlSqdgR1vHt2yTdMxTSY8Fmfm3yBrm0x/8+EfPnpL1v+Pavq8dYLFVYJ07FzZqk4Wki\nEzEnnFhuHaY48+ek7Wmi+lwWV047ZhxVrveRjynL6qjqAur8OQx+ve2292H16oVt/yj19BSd11Jo\nTxO+LGMuVP4e4y1/joo14RkDAB2+Frr2VKyJS/4c3RwkyZowuTIn48HTRHYvGYt1+vRYLvLn2O4l\nNqwJ8+fp7i5g//5jFzQa9x3vKBRI+fpXJmG5siB58jRx6SPtmHFU+TA9NvmFbOP9vKfJc8+9je9+\n9+dtrMGSJXNSy58j1uW5GJW/R5xrE0g+fw6TKW+QS3s61oTJJn+OCxOUtWd0PHiaiHVVz1KW8+e4\n7iWqckC7Pw+AHwKY63E5ViLmhEQikUgkUqZEYR1OY2O1xsGDJ61ekcni9javxXSv0ELadNu8BpSN\ngb26Nc1DHmQz17L7WCoVMTh4Pb70pW0AzEfuWJhEDJeMjlbx8Y9/C4cOnUK93sCpU1X87u9Owosv\nrsBnP/sD1OsNLFgwG93dXSicPZTHuALT63yXtTY6WsXQ0BHUag0UCkChUMCCBReiVOpum4+1a3dg\n585DaDQa6Ooq4IYb/o+2sE7Io726OazV6hgaOoq+vlkoFru8+zE9q3z+k2uumY1CQR5uEZ8J1p7p\nfrFwzq5dh1Cr1fHOOyMAgJkzp6BY7MKiRe2hADbeSqWKPXuOoKurgE2bluOJJ/YCkDMFNqG6ULIJ\n68SRasBWUfs27RfsXnZ1FVCr1XHkSHMeZs+eimuvnRNLWIcfk/hctD8zDQwNHcH8+bMwaVKX8d8l\nfq7uuWc+7rjjpbP7Ufu+AMhTLVBYJwW5vAK7664rsH79DRgY2N7xmU37YtkkQjkArMab91AOYD/X\nsvsI2IW57rrrCgCQ9nPLLd9shXOYTp4cw2c/+wNs335Hx33g21H1r7smXVlR119/sTKcw9r+6lc/\nAgCtP05c+jZJN4e9veejXD6Ocvl4pH5M97i39/zW/Tlw4ATuuusK7RFQ3ZgB+V7Bwjm8Tp4ck16X\n7H498cReLtTYuT5d9p4klNdQjlhftl/I7iUAfPKTlyQSzhGfC0D/zOjWhipMJO4LQHso5847t2L7\n9juYz0lsf5gAFNYhkUgkEomUMdGbE0Hj/diwbT9pH/8LIdc5kB0ljtJuXizqWVnTEdqk1mcaFvWh\njw2zz9jRYfGUjm5+82xRn+Z4ovZtur/sXl577cUAGti586DVuoki1bFhm2fGdr2anjc+1ULcx6R5\nEXPCadWqrQ2WTyWkRX1Wjw3LVCpNxsDANqjmIQ9ynQPxc5VduW1M++DBd7F06QsAgC1bPobPfvYH\nZ3+O36KeL+t6dNjEWtj0rZPpGYrr6DBgtqjX9SU+E2J7Yl1ZjB6QW9T7HBt2tS0IJR1zMl6PDfPP\nEfMymTSpCz/4wZ+iq6se9kIU4zL5l7jsJbbcmG5fAMi+PnFt2LCv9XNIi/o8HRseGNimnYc8yHUO\nxM9VduU2RzwBYOnSF1pHhT/84f8P7O//JCzqZWVFmY4Op2VRH9fRYcBsUa/rS3wmxPZ0Mfr+/ucx\nNlZvfa5LjeFiOZ41JiyvrInPsWEAuPnmb+DVV//EY7Tu49LZ0gOdazvEsWGbfSFuEXNCIpFIJBIp\nU6I3J5xWrpzX9uqWV5R4rw/H4itTjNrUB7OvV81DHuQ6Bz73URen/eEPP6UM65j6G8+siQ0DEhdr\nIv7uYlGveyZMMXoxrKMbq4vlOLEmYfq2WSuqsA4QX1hHtS50z4gtBwWYLept9oW4RcwJJxv7+lAW\n9UlwJrb98GWefHIZpkwpOqdFT1s+c6BLiQ40Y+u2fAjPmfzwh59CT0+xDSLzYU1c14gta2KKJ7My\njzzS3ATXrFkYfH2G9Ewx9cE+A9xYE1afAdInTpzWrjFmUS/Lm8OzJrbrIA2Lep1sbPyTVBysiYz1\nqFRqbXlzPvCBCwDY2/i7SPVcAMlY1LvsDRs27Hu60bjvc8En4azozYlGUWO9LvHMuDxNbPrhy5RK\nRTz11DLvsaQlnzlwnRsmWR2eM1m69AVcdNHUVmzYlzVxXSO2rIkrZ1KpVIOvT9vYd+g+XOLoYv1K\npWptUb9ly8/aUhTwrIntOvBhk5JU2txLHKyJjgECmvfyrbfuijBqt3HxSsKi3nFv+EsAsf1xQswJ\niUQikUikTInenGgUNdZryxbExZnY9sN/zuLreZPPHLjOja5dnjORhXVc2nIZn6y8iTWx5UxKpeb2\nsGbNQmPfNuPif7aNfYfog//ZJY7OvufDOrL+2O/MB0MW1jGN1fSdLZuUpNLmXuJgTWSshxjWiVM2\nz4Wrp4ltu6yc7d6wYcO+pz0v00rEnHBizElcniZJcSa2fcnKuKZFT1s+vi6muZk+fSpGRqq4++6X\nW2WAbLImuvwxsjmxiSeH4o901x2Xp0lU1kTWns77h2dNRKM1sZ88eZrIFNr3xkdR58LFa4flnAHa\nuaHQe6RNHjTZd6FYE1ZGNP8z7Q3TppXI5yRpRWFNssCZ2PaVdsw4hHx4EpvrHhjYlgvWRNa2zi/D\nhTWJyh/prjsuT5OorImsPZ33j8iaMMn60fEM5GmSTN+m+eXvy+bNP1VyQyFl4lziZk1ceBR+b3jm\nmVusrs9XxJyQSCQSiUTKlOjNiURRWJMscCa2faUdMw4hH57E5rqbuXWqxvppsyayWLLOL8PF0yQq\nf6S7jqTy57iyJrK6Jp8T2/w5Mp5B1afpetJUmuOJ2rdpfnVhnbhksy5U34VgTfhnRJbTSdZ+Emwi\nMSecTp6sNHjOwDbem4XcObb92PAWQPaZk6j5c3TMAe/vAXTyISMjVXzxi9vx3e/+HBdeOAXPP/9H\n+Nu/fbMFQz788PUd9WTt2F6T7vqj5s/R9e2zFtLKnxMHayL6nPCJIG1ZE19PkyyxJmx8oXxvfPv3\nnQsXT5NarY5qtY6hoaPKNRNqj4yLNQnJmYjj5PcGyq2ToETOwDbeG4L/sFVUliJr8WtfubImPswQ\ne3MiWxPPPfc2AGB4uNLGnZTLx9Hd3dVRT9aO7TWZxinTRMufEwdrIn62bt2StvI2rIktb5R11kR8\nLiaCp0ncOWXiYk1Cciaysknde2JOSCQSiUQiZUr05oSTjDMIwW4kxZpMFM4EcGdNXJghlb8HvyZG\nR6vKsI6JKwlxb8RYMuXPCc+asP+XhXVsWROf5zWLrInuuUiqf9nPUerK1qUY1olz3uNiTUJyJqa+\n4hQxJ5x0Picy5cXTxGUsWWZO4vA0kZWZM2dah8+JjDX5x3+8tS2pm4+nie0YxbJxsiZMLmshLdYE\n6GR7fPLnqNoT2Zvjx0eVSf1C5M/JEmsiey6AZPeG0KyJ6r7YsCZMUfdIX9aE/063z6tYE5fn0bSn\nUm6dlOTDJ4jlkuJMQnyfF/nwJD4czsaNtyr5I5416e9/HmNjzcykvp4mtmNUlRU10VgToJPtiZI/\nR2xPrLtixZbWdcjuv2u7WWZNZM9F2mOIyprYrJ+ssibiWF09TVyeR8s9lXLrkEgkEolEmjiiNycS\nufAJqnJJcSYhvs+LfHgSXw5HxR/xrIkY1nEZi+sYxe+JNVHPr0/+HF17vLZsWaEM6/i0m2XWJAvj\nCM2aqNrLC2sia0P8TMWauDyPpvVLuXUSlsznRFRWPE3iGksWmROfuLwPawKgw9dC5ExefPETAJBo\n/hy+vIk1icqZ8LJZCzYMSIjnISRr4rqeSqXJuPfeV/Daa79y8jRRtZtlzgRQr48k94aQrAkg9ypy\nZU2Yovr/JJ0/JyRrwr6j3DoJS8YZiEqS7yDWpCmf4n+SLwAAIABJREFUuLwPawK0x3TXrVvSwZmw\nP0qSzJ+jGisv3/w5Nn27jsuVuQnVT0hPE77uwMA2fO1r/9pqm8nkaaJqN8ucCZCNfSMkawLIvYqS\nZE18OZMQ+XNiYE0otw6JRCKRSKSJJ3pzwkmXT4UpSb6DWJOmfOLyvqwJ0O5rIXImjC1IMn8OX8bE\nmiTJmZjasmVuQvUTwtNE1v769TeiWq1Lwzo+/EiWOROx//HCmoi/82smCdYkCmdiu9clwZowUW6d\nhMV8TkRliTMxlYk6liwxJ66xeV9/GqA9Js18Tlau/J4Ta2Lj5RHF00SW1C8O1oRJtRaS4kxs+4qL\nNWH5c5p/iFyEM2dqHayJi/dOllkTm3EksTf4zofrfFcqNezZcxhdXYUOjxqTfP1/kmRNQjJwsrbI\n5yQjyhJnYiqThXhxKLnG5m2v3RSTZj4nrqyJjZeHy/2RjVPVR5KsSVKciW1fcbEmDz54Ln/O/v3H\nWp/z/ajq5401yfs4fOcb6PSoCam0WJOQDJymLfI5IZFIJBKJNHFEb04slCXOxFQmC/HiUHKNzdte\nu00b69ffiOHhUSfWxMbLw+X+yGLJqj6SZE2S4kxs+4qLNRkcXHKWR+gM65jq5401yfs4XOdbDOvE\npbRYE5dn1KU8+5l8ThKWyJxkJXeOTZlQ48kCcxKXZ4gtK9FoALt2HUSjAWzatLwtqd/DD1+vrKfr\nP6v5c3QS10JWPE1YTD0u1oTPn7Np03L83d/9C15//dfo65s9IVkTprj2hix7msjk6v8TkjUJyZmI\n43RZx+RzkrKSYjuiciahx5O2QsZLXdqV/b506QsYHq4AaLIG3d1dxnoTJX8OkI6nCYupx8Wa8Plz\n+Pu/f/8xYk0yNgbbtZKX/DmuXJ2uHt+P2I6qPdt1TD4nJBKJRCKRJpzozYlGSbEdUTmT0ONJWyHj\npT7t6sI6voxFFNYky/lzbH8P3Y/Ndeva0/XB588RwzrEmmRrDLZrBchP/hybawrBmejqmNYs+Zwk\nrLGxWuPgwZOJsB22bSXFvTClxZyEjJeaysjiwdVqHbVac+Pq778Ea9cuwUc/+gKA7OXPAdq5CJlP\nQ4i1wdYC/0z4+DHYKiRr4sN5sDmt1xtYsOBClErdWL16IR5/fC8A4N575yt9bGzXRhZYk1AMUlrj\nEOvqvH9CsiZMunnIA2vi+m+K7LPp06di0qRuYk6SVJJsR1TWJAvx4lAKGS81lTHFg8vl4/jmNw/g\n+PEma5C1/DlsTKLnSpS+bcfl48fg0w+TL2viw3nwc3rgwAkA7df76qu/VPrY2K6NLDyzWRhD1HGY\n1qSsfYBYE1lbpn9T0lovxJyQSCQSiUTKlOjNiaAk2Y6orEkW4sWhFDJeaiojiwebwjo+Y3S9Py6s\nCc9FyHwa4lqnPn4MPv1EZU18OA82p7ZhHdex24whCWVhDFHHYcN0EGvivi/5PDdxiZgTTqtWbW2s\nWbMwdc7EVC7OuHXSzEnarMnoaBVDQ0dQKJwzY7r99hcBAJs3fzxTrEmcniYylUqTMTCwDadOnTHG\nufOeP+eNNw6jr28WisWuNrO7arWOUqmIYrEL4t4wnj1NZAq1N4RgTWTshVgmNGvC5OL/o+NOXPYS\n2R8lrussBGvCzwExJwlqw4Z9qFSqqXMmpnJZiRmHUJZYE5v8OTZjjIs1seEtQq6NgYFt2LBhn3Q8\ncT4TQDr5c/j1IFsf4t5g21dWntfxMA4de6ErEydrolu/Ou5E9rtt/hxZvSi8ZBbXLTEnJBKJRCKR\nMiV6c8Jp5cp5WLNmYcfnSXMmpnJZiRmHUNqsiSms4zPGuFgTG94i5NpgXgZiWCd0PzbzG3f+HNuw\njk9fWXlex8M4dOyFWCYp1kR3PTruxGUvsble07zmhTVhIuaEE59bZyJxJrySYk5sfApU5V3nkI9B\nNxpAsdiFe+6ZjzvueAlAp9HaV77yEUyZUjT6e/iOUSzPw7gsf09S+XN01/DoozfiwQd3oFKpxs6a\nqHwfksqf88QTe9vGwf9j8OSTyzBlSlHJGGSZNQk5hqh7Q1KsiZjUT/QAiiob/x8guqeJWNfXYyhq\nHihZW2cT/01tNO4b8ZlDG9GbE4WIM4lXNj4FqvKqMqpysrjt5s0/beVMEfPnTJ06GU89tSy2MarK\ns/67u7s67n0a+XN27z6E/fuPtbUZ13Oh8n1IOn+OjBEolYp46qllzn1l4ZnNwhhCjMWXNZF5AIWS\niWEL4WnC1/X1GFKV8VmzwvePAfhcR4eBRMwJiUQikUikTKn7oYceSnsMmVG93nhodHQMANDffwlO\nnKjg6qtnYXBwCSZN8v87zrYtXbmQ49Gpp2cSAIDNQ1zir+fpp2/Gu++Oaa8tyhyyz+bOnYF582ai\nr282Nm5chlde+U/MnDkFL730Cbz77hgqlRqWL38/nnjiZkya1IUFC2bHMkax/FVXzcCVV16AsbE6\nli9/P9atu67j3v/mNyOoVGq47bbO7336No3p6qtn4R//8Y/w29+ewdy5MzrmMvRzIZtfm+vWXb9u\nrLff/kF8//u/aN3/0dFa2ziuumoGPvSh5lp5/PGbMGlSF3R7g2v/SSnkGKLuDVHGwj8r7L6o9sg/\n/MMLUKnUMGvWFGzZsiJ4OI3Ng25/uOmm9xrXts1ez9d1bUfWHl/GZ82y7xcvnoM33zx840MPXVcN\nOrmciDnhZJNbx0VRWZM0YtZxMieunIlYxzemylgTAG1sx333XdPiTvjYNPP3qFSqwVmTkPlzXPvW\nSRbT51mLvOTP0X0O6FmTdet2tbgjnvuRMQaqsZv6T0Jx9e+zNyTFmQBo48jiYE2YdPsDEJY1UV17\nkqwJ5dbJiLLEmmQpXhxCrgyHWEdVznb+eJXLx7Fly89arAEfm+b9PUKzJroxiXVN+XNc+9ZJNi6e\ntYizn5D5c0xjtWFNZNyP7dhN/SehtPsPNRZXzoTnyOJkTXT7AxCeNeHlssZCsSZprSdiTkgkEolE\nImVKFNbhtGrV1oYuLbqNXEIXJmti3evMuBRHWEd2ZJb3lHCZG5s04kDT7nznzkMAgLlzZ+Dll38J\nAFi27L3Yt+8dHD06ggsu6EF3dwHd3V3YsmUFenqKePDB19Hd3YVqtYGdO3+N+fNnYdKkznH6HoVm\nviq1WgOFAlAoFFp5XFhdFnrgr4t/Te0THtPdm/vv34Fduw6hUAD6+ma3rpc/ShyiH/5eAWiF2tg1\nrl69EA8/vAs7dx5Co9FAV1cBixZd1BHWcX1uALQs6q+88oKza6GArVv/GF/5yr+0+muOpYBrr72o\nLawj2virxq478pmEbJ6ZKHLZG6KMRbcmxTBEpVLFG28cxtGjo7j55kvw4x8fa3kWhQzriEfs779/\nO1577VetfYyFZxsNoFZrYGjoSNveoQvTiHtDoVDAs8/egjvv3NqW58n23waX50M1LlYWkK9nCusk\nLJV9vYt8X/HfddcVrbIDA9uln+dV/HX29p6Pcvk4yuXj2mtTzY1NmYGB7a2wAAAcOTKC4eEzAIAf\n//gYuru7MDx8BsPDZ9Dbez4Xzjk371dccYF2nCGODTNdf/3FytADPz7fvk3jYvbtAHDddefG8sAD\nO9rs60M9F3fddQUAdNw78b753HfV5zKL+q9+9S10d3fhwIET2j751/i6sacdSrF5ZvIwFt2alLXP\ntHnzv8d23Xx/zJSP3x8AaPc43Z4uu5Y779zaWqv8/mDzb4PL86F7ZtJezxTWIZFIJBKJlCnRmxNO\nKvt6F7lY/qrKpm0bHFr8NejsnFV1VOV0c8bbnX/hC+2ncgC0nYIR2yiVihgcvB5f+tI2Zf+u94iV\nMVnUszHJxufbt2lczL590aJ2i29mX88cYqP2I/uZ/128bz73XfWzzKKevyey62fSzQM/dtX1JaUs\njEHWv+tYdGtSbDMNi3p+PYjfAfI9zmb9y8Iturohno8s/xtEzAkn3r7eVT7HScWyaR9BBMIyJ65x\n5yQt6nmmQKz7nvdMxvr1N6JSOeM9Rtkc6CzqAfPR4dDW8YzDUM1HqVRUzoNLP6ajlXFZ1PPXKP5R\nMjpatZ5rdqRaZjOQhWc2S6ktoozF5ei8+EeJbt1EkWz9sufixInT2qPl4u8mrk5nK2BrKy/73uW5\nsW3nySeXYdq0EjEneVCU46RZOYIYWjZHAXXl47So54+Kqsa5bl3nfzGEYE1UR1VNR4fjYk1M8yGb\nB5d+0rKoF6+RFz8W01yzI9Wu/SelLIwhxFh8js4D5nUTRbr1W6lUtUfLxd9tuBleLsd5XY8C+/wb\nJD4Tzzxzi3LsIUTMCYlEIpFIpEyJ3pwEErEmnZLFUqNyJqpyfAzaJqwja8MmrBOFNeHDOrK6WWFN\nePYmaljHxBvZciZiW7axfBVrIoZ1dH0xxsC1/6SUhTHI+ncdi2n9822mwZrIwjqycja/85/ZcGim\nebVhWvifff4Nkj0TcYqYE06uzMl44Ux4hUyLHtKiXlVOZBYeeGBxmw25yqKeb4//g2ZwcAnmzJnW\nMQdxsSZJW9SrOBNZP7J5sO3HFHuP06I+FGvC2uXtyrPCmmQttcVEYE2A5rVNnz5Vm97CxaJelTJB\nLKua0xAW9T48C/mcZFzEmXTKxBiY6riWE5mFN9443GZDrrKol7XHtHHjrd5j1LUtY02StqhXcSay\nfmTzYNtPmhb1oVgT1i7vc8KPnyzqz2kisSalUlGb3sKW2zClTLCZU5fnw/ffoLTWGjEnJBKJRCKR\nMiV6cxJBxJl0ysQYmOr4MAc8s2AK68jaE8M6UcYoljGxJi5xdtu+dWPS+UeE7EfVjitr4hsbD8Ga\nsJ9lPidpP7dp9y9qIrAm7HMW3lJlJbblNsSwjs/z6PJ8+P4blNZaI+aEky1zEpU1STterZMvc+KT\nSyNqTJVnFkxGazasCWubzYHM18JmDgBz+vaseZrI+nFdC2mzJvycbtq0HE88sRcAWjl7dH3qxs58\nTk6cOJ36s5tm/+J6iJsz4fuoVGrYs+cwurrC582R9QfI/+PqwQdfl5o0urAmpr0hCdYkim8KAGJO\nsqqorEnW4sUh5OppIqvjGlPlmYUXX2xnS9jn7Hcb1iRk/hxT+vasepqEzCsFJMua8HPK+9qIsX1Z\nn7qxM58TU/9JKO3+Q43FhjOR9WEqH1U61gQ4tya2b/9P7N9/rPW5C2ti2huSYE2yypnwIuaERCKR\nSCRSpkRvTjwUlTXJWrw4hHjGwsbThK8j/mxTRmQWbPPn8O2YWBNfzgTofHUrKmueJqH6UbWVBGvC\nz6kurON6r3lPh7Sf3bT75xU3Z8K3K4Z14pKONWFS5d6yZU1Me0MSrElWORNexJxw0jEnvj4XfPm0\n49U28uUMkmJNxFg1gLZ/kB577E0lW2DLO8h8LWzmAMgWa6Lry6Yf27WQJmsi8jRr1y5u/YNiYk1s\nn9Hp06diZKSKu+9+WTtfcSkr+4Yvi8XkugbS8DSRrV/+99WrF+Lxx5t/9K5Zs9CaNRkdrWJo6AgK\nBTUzkzZr4rLOiDnJkKL6XBBroq7jElMVY9UApJyBjC2w5R1kvhY6ZZU10fU1XlgTkafZvfucz42J\nNXF5RgcGtqX27GZt3/Adj+8aMJWPKtP65X/n11SlUnViTZii+BnFyZpkbZ0Rc0IikUgkEilTojcn\nlorCHxBrIq8j/mxTRharVoV1ZHFfG95B5mthez1ZYk10fY0X1kTkaXRhHR0HYHpGmzmGqtJrjFtZ\n2zd8x+O6BtLwNNGtEaAzrGNbXwzruI7DVCYEa5K1dUbMCScZczKePU1kcuEMdHlaZOVt5sGGNRH/\nCBFhWBnH4RLrtk14154/p4GhoSPK9pNiTXTX6tqHaS3Y5FGKizUJ6Wliis+HSIDoqizuG64sFmD2\nFFKVzSJrwtY3871RsTdJeZrYXEMITxOZiDnJgMjTRC6dd4aqvG/+HEDtYSHzOJFxHD6x7nXr9P/1\n4BIbT4o10V1r6LWo84RQ+dGEYk1CeprYxudN6yGksrhvuLJYgBuTlhfWhPne2KzZOD1NbK4hL54m\nMhFzQiKRSCQSKVPqfuihh9IeQ2ZUrzceGh0da/usv/8SnDhRwdVXz8Lg4BJMmqT+e05W1qV+FtTT\nMwkAIM6DqP7+S/DOOyOoVGpYvvz9WLfuOue5cSl3++0fxPe//wvMnDkFL730CZw6NYZKpYbbbns/\n/uEf/k+88sp/YubMKdiyZUXHa8n+/kvwm9+MtMqrxsr6Xrx4DtavvxG1Ws04BydOVHDVVTNw5ZUz\nMDZWV7bPj181xhDrRHetrn2Y1gLf3tNP34x33x3raNt17mX1bdbD6GitNY7h4Yq2P9vn1HU9hFQW\n943bbvsgjh8fxdy5M6zHxK5j7twZmDdvJvr6Zivr8mWvvPIC7fMUQuIc33TTe5W/8+v78cdvwqRJ\nXViwYLZxzW7cuMy4N5nus66M6Rps/g3yWWs9PZPQ3d016DPvtiLmhBNjTiaKp4lMOs4gLk8TVTmZ\nhwXjCebPn4VCoaDkPHxi3azvOXOmKeeAL2/yLsiTp4lMsrWQhKeJ7ru48ufoOBfTegipLO4bPuxN\nXlgTVf4c2XdsbT/ySPMz5nMitmvDoKXtaWI7BpWIOUlJ5GkiV1yeJqpyOg8Lnm+w8bDQ9S+W3bjx\nVuX1qNomT5NzbUflTHTfxZU/h+/DdT2EVBb3DR/2Ji+siS5/joyj4usynxOf60jb08R2DGkq/XeF\nJBKJRCKRSJzozYlErue9Xc+T51XsOkJ7mqjKyTwsVGEd1Zl9U/4clzGKZUzeBeRp4udpovsurvw5\nNv4RSSiL+wYbh0tYx+f5S8PXRJU/R/Xd4OASlErNfzaZz4nYrhjWcV2LpjK2/96Y+sjiWuNFzAmn\nkycrDZf8GbYx7DxJxRm4eJqwOr6sic7T5IEHFhvzpdjwDrox6liLLHma6PoK0Qc/D2nmzxGv04U1\ncYnFu6yHkMoyZwKcG1MI3xtZeTGpnyzvTOjrAew8TWRrhvmcsHng98e+vtno7i4oGZu8syZMxJwk\nLNf8GbYx7LzL1dOE1fFlTXSeJm+8cVjLFtjyDi5jlJXVtZ8F1iROTxOmpPLnAP6siUssPq0YfBZj\n/z5jsvG90fUBqPPORJWvpwnQuWaYzwnfNr8/8iLWxF/EnJBIJBKJRMqU6M0JJ9f8GbYx7LxLZD+i\nzo2pnMgV6MI6snm34R1cxsh/bxNPzgJrEjqenARrouvDlzVxicWnFYPPYuzfZ0y2LIdYXgzrxCGX\nvVrFmjCx3Ft8fbY/imEdl3GYykwU1oSJmBNOstw6Mo1H1oRJ5AySyp9j8jRhxkAqz4QQ3hqqOZho\nrAnT9OlTMTJSBeOwspQ/56//+g2th0ao+DybByA8c5IX1oTJ5HvjwpkA5rwzcVwP4M+aiOzNwYMn\ncf/9O7Br1yEUCsCiRRdF2nfiZE1CrjXm9bJhw76nG437PufdkEHpPw05FLEm6vJxe5rw8mFNonrY\n6Nofj6wJz2FlMX8OLx/WJM34exZj/1GeD1fOxJR3JoRCsibsM75ttmcBwNtvn4i078TJmoRca1xb\nfwkgtj9OiDkhkUgkEomUKdGbEw8Ra6IuL/vZppzYl01YR2wzqreGrvxEZU14DkvFEcTFmug4E1lY\nx9SXT3w+TmUx9u/7fABunAnQGdaJQyFZE1n9arXeFtaJsu/EyZqEXGuDg02vlw0b9j0dqSGDiDnh\npGNOxjNnwotxBp/73PdjZ00AtHiOQqH5h0fh7Ml5tiz53+NmTVRzoPMuMHE5oWO9smsNzS6IuVRO\nnDitjIWb5j4v+XNM6wEIw5xkkTMB/FkswI01SSN/TijWhLX7V3+1C6+//mt86EOzEvU0sbmuODxN\nZO3MmTONfE6yoonCmQBNziAJ1gTojP/aKAnWRJwDXf+6uQod65Vda9yeJpVKVRkLN829Txw8jfw5\nE9nTBEiWNWFKKn8OUwjWhP98//5jbe3F7Wlic11xeZqI7SSRb4qYExKJRCKRSJkSvTmx1EThTIAm\nZ3Dq1JlEWBMAzmEdsc04WBN+DnTeBSYuJ3SsV3atodkF1gYf1pG1bzP3PnHw8Zw/J4ucCZAca5JG\n/pyQrMng4BJ0d3dJwzouYzCVcf1Z1Ueo9ZbGuiXmhJOMOXGNreZV7Dq7u5sv02q1uvEaQ7ImDDa1\n9TRh8WtVGdcx8uVtYspJsSZJcSayMU+fPhUDA9tQqVTbYvFRGR+VRwPf7gMPLG49a2mxJkwhmJM8\nsyZMpdLktvUAmLm7NFkT2R8dthyKeD08B/XP//wpPProrrbnQjWGEKxJWpyJri3KrZMBucZW8ypZ\nLBNwyzcTgjWx9TSxHWuUWLouppwUa5IUZ8L64ts8S+S39RGC8VF5NPDt8jmUiDWJTy7jGhjY1rYe\nADN3lyZrIvPDseVQAHVup76+Z3H8eEVaThyD7HtdGRv/Et04bfu3VZrrlpgTEolEIpFImRK9OTHI\nNbaaV7HrEcM6NnXEn23LuYR1ZO3pfC5cx8iXsYkpJ8WaJMWZyNpk4Qz+NX4Ixkf2ndiuLqxDrEk4\nuYyL5ZTh14OpbpqsiW6/dv2d56DEsI5uDCFYk7Q4k9BtuYqYE048czKRWBOenfjKVz6CKVOK2vi6\nT0wVSM7TxHaMvFhMuV5v4LrrLkZPTxFr1ixMLX9OmqwJgDafk0rlTGysSRL5c0zjMsmXORkPnAlf\n9sknl2HKlCIOHjxp/fyLSf3ykj+HtSvjoPjnQjeOvLImtp43xJykpInEmvDsxNSpk/HUU8uMdXxi\nzUl5mtiOkRcfUz5w4ASA5n8hppU/J03WBGi/V+vWLYmNNUkif45pXHFpPHAmfNlSqYinnlrm/fzn\nLX+OjoMCms+Fbhx5ZU2ysm6JOSGRSCQSiZQp0ZsThSYSa8KzEyyubKoj+9mmTBKeJrZj5MViymJY\nR1WO/Ry1X5XSZE2Y+NfXcbEmSeTPMY0rLo0HzoT/nu0NLs+/GNaJQy5MhquniYyDUoV1xgtrkpV1\nS8wJp7GxWoPFU208NPIslU+HLr4elTWp1ZpAHEvst27drrZEfyquJ478OeIc8EZrLLbOz0GarAkQ\nTx4nE1fFcgz91//6fe/8OarvQ7ImqvkJdU9cmZO8syYq/uGRR5rrQ8ZiifXEpH55Yk1Ua5N/LoBz\n6yFO1sTEOybhaSITMScpyMfvI48y+XSo6oRgTcrl49i9+3CbdwX/u9h2CN5BdT2y/Dksts4rTdYE\niCePkw1XNTCwLVL+HNX3IVkTgDxNbOTrSyTyDzIWS6y3efNPW/c0b6yJam3yZXTjCMmamHjH8eJp\nIhMxJyQSiUQikTIlenPC6fOffxn33DMfr79+EPV6AwsWzEapVMxUvDiK2Gu7Zoilgcsumw4AuPba\ni5TXKL5iZBLL821/+tOXY2joKGq1Ou677xrs2PFrHDlyGhdc0IPf/GYEhUIB8+bNxLx5M7B16y8x\ne/aUjtenrM21a3dg585DuPTS89DVVcCiRZ1j5fv+zGf+AN3dat8ToP3Y8Cc/+ft4+eVfYdasHixc\neGErnszaZWGfefNmol5vtMXObefGJN7ie2ysjssum45CAejrm90Kb9hcl0tfbMwspj5//iwsWnRh\nq4+RkSpWr/4+duz4lXLudfOumpt77pmPG27YhGq1jt///Wn4zW8quOWW30OxWMDQ0NHWPAPoeP7E\n/oAmwwS0z4/regihUGshDtnMh2r8q1cvxMDAdlSrdfz5n1+FYrGrg8U6d2y4iksvPQ9Hj47i5psv\nwY9/fAyFQnjWRLXXrF27GABaIeRGA/j0p3tb/klsffPXxOZj9eqF+O//fRt27z6MuXNnoFar4+jR\nUdxyy3vR01PsmLORkSoGBrZ3zJfN3sT61801u66+vvbnkm/T1LfLXIZoK7TojxNOGzbsw6uv/rL1\nGu366y9O/dVWSMleg9511xXBLep7e89HuXy8Fa5hR3OHh88BZM8/fwC9vedjeLiC4eEKnnhir/SV\nJQsp6MbK9226HqD9te2RIyOtMfT3X4L1629oxVrFsI/YdlxH99h1AHC6Lp++uru7WveK72NgYHtb\nOVn/unlXzc0NN2xqzf1555UwPFxprQU2Dibx+RP7A+Tzw4891LyZlLVX4rxsng/V+Pm5XLlyHp56\nalkHeyNbv5s3/3tsc6/aa1homh8z/z0bj2x9DAxsbwtfsr3p+ed/Ir2OgYFtzvuirH++rmncsjZ1\nfdsoy+uWwjokEolEIpEype6HHnoo7TFkRocOvfvQ3/3dh/Huu2O4+upZGBxc0rJSHw/q778EJ05U\ncNVVM/ChD81EX9/sjmvs6ZkEABgdHWurY5oPvtzTT9/cmsOnn74ZJ05UUKnUcMst78NVV83A2Fgd\ny5e/H1/96jLtXPf3X4Lf/GYElUoNt932fqxbd520f9sxMt1++wfx/e//AjNnTsFLL30Co6O1trps\nDhYsmI133mn2v3x5Z/+u/arE2pk7dwbmzTt3X2666b1B2pf1xdpU9dHffwl++9sxVCpV3Hrr+6Rz\nr7t+1XequWdrRpwDXZu6sYecN/GZsJnXLO0bNmNTleE/f/zxmzBpUlfHPPDr98orL8DYWF37vIa8\nHn6vYeN2+Z7/jN9rnnlGvTf19EzCTTf9Hg4detdpX9T1b3NdujZDzKVLWz09k9Dd3TXo3bGF6Cgx\np1WrtjZUabDzLNWxYZnYMTkbi2rWtuzYG3+UcNOm5fjbv30z6LFhsW/TPVNZUcvqlkqTce+9r+C1\n134lna8Qx/d4zkT08Yj72LDp+C2bp/7+S/D44zc52XS7Hs8U8+aI9zspi3qdoh6vT0uhj7iqjtCK\neXN0z2yoawE616/uCK6uPP8M2hzdNR2plo1XtW7zcGxYVu9sxvKpjcZ9I96DMCg7T1IGJKaHHy+K\n69iwWI4/9sYfJeSP44U6NuwyRlm7ohU1X3euOTR/AAAcuUlEQVRgYBu+9rV/bZUV5ytEnFZ1ZB2I\n/9iwrh/Z/LvYdLsez+TXjOx+m45aimMni/pzCn3E1VQXMD+zvrJZv7ojuKbyTC5Hd1VHqmXjVa3b\nvB0bFuo9BuBz3oMwKDvvHkkkEolEIpFAzEmbDh1696G5c2dkLmYcVf39l2jZCV48bxGFNdm4cRle\neeU/W2zBu++OtfrXsSa2nInYt+meucSUb7vtgzh69DROnx6LjTVJkjORjVnHa7B5+uM/vhSPPfZh\n1Go1bVtRWZPh4YryfvvG7EPOnY45mQisichiiTxaEqyJzfrVMRu68vwzqGM92DhGRmpYsOBCfPnL\niyOzJracie5ehZhP27ZYvcWL5+DNNw/f+NBD11W9B2EQMSecxsZqDde06FmWC2vCVCpNxsDANujY\nG71FfQNDQ0ewcOGF+MIXrmmzsO7pKWpZhdAW9WJMGWjm72GeAbKY7v3378DQ0BEsWXIxvvzlxYmw\nJqZYcxTZxLRVc88zBmlb1NvE7ONiPmTMSZ5ZEx9mCOjk0cS8OXmwqGflXVkvvh1ZegvZWENY1GeB\nM+Hrsnl7z3smE3NC8pcPazIwsM3I3pjiv6y/F1/8WZuF9ZIlc7SsQmiLeh3XIavLz9f+/cdQq9UT\nYU1MseYosolp28y96dpl34e0qLeJ2cvGFZfyzJr4MEO6+kB+LOpl9WWf6+ZMlt5CNtYQFvVZ4Exk\ndc+KmBMSiUQikUgTR/TmZBxrcHAJqtV6K6xjY0nMrNtZWEfVruxnm7COrB77nU9P7tq3rqwqrCMr\n3zwSeS6s49u37ZhkYZ2Q4ttT9WMz96Zrl32/ZcsKp7COqT3bz5JQWv3ayOde2dblPxfDOnHIdqyA\nfH2r6tuuPdlnbI+0Hatp3eqe/5DrLEpb4r51NqxzX6QBGUTMCafxwpy4siY28VSxHFus99+/A7t2\nHUKhACxadFHHHyTnn99jjHHHwZrYepoA7R4cW7aswAc+cAEAO9bCRrL4crVa1/IvUeTjaSKb++nT\np2JkpIq77365o66qr9CsiW7sSTEfLuxNWoqLM+HLMH+Pv/zLuR3PeNzXA6TPmrDvVX4vuv7FdWt6\n/kOtsxCcCdA5x3PmTMOkSd0Fr0H9/+2de5QdVZWHv9vdodUYHBSCURB5yBZG0GRAQR1DgoqKxIki\n6jiIcaGoCEgMICgJISZgROWNxseogyPKKK4EVJY81IyEwBqJgFlsokNUhqhRCKKEQKd7/jhVSXWl\n3rdu3bq39rdWr9t96tQ5p3afqnuq9q/2zkg9ziyjVPJqTbL4U8P1fPx+AO6/f9MOOpOVK49L9XF3\nQmuSNaaJP05/+6xZy7nnnvcW6jdpPEnxF4q2m6U/n6wxTfLmEOm01iRp7KY12U6VOpNrrtEdzvGy\nqaPWJGp7XJ2s+pN2+s1CWTqTsI2XLTuq0HjyYJoTwzAMwzBqhT056UPyak2y+FPD9fzfR0ZGE906\ncfsF/+6E1iTYZtitEyaojQj7zsvUmUC8W6dM8mgK0my/dOl0tmwZiWwrrq+ytSZp20xrUo3OZHjY\nfV2E3TqdoI5akzzXprS5mnb+lzXPytCZQLIuplOY5iRAL2tOsvoyo/aBeH9qVD0YrzWZNm0yrVZr\nmxB28eJXAcm+3LDOI85vndVnWiR+SNwYsmgt0ojz11YV0yTJ951F55OWQ6RMrUkd8uckUcZ86BTt\naEny5N7ZunWUgYEB7rzzD0ybNrmS/DlJ2hFI15rEnXdZzsE88V6Sxhssq0pn0m5bcXm/wjYwzYmR\niay+zKR9suaJgB21Jj6+dgGSfblhnUec37qdMabFD0kaQ5rWIo04f21VMU38tuPK8sQ1icohUqbW\npB2ffVWaj3bnQ6doR0tSNKbJ2rUPV5I/J007kqY1iTvvspyDZWpNqtaZtNtWke+STmCaE8MwDMMw\naoU9OekTsvoyo/YJ/56lXlBrEnbrZPHlJuk82hljnvghSWNI01qkEeevrSqmSZLvO4vWJKgxOOec\nQzP1VVRrUsRnH/6907Q7HzpFO1qSPHqKsFunEzbIMw8gXWuS1a2TdSxFx1u1zqTdtqKupd2Y86Y5\nCdCLmpMi+XOK+lN9TcHo6BiHHDKZwcGBcUHXqtaaFNV1JI0hTWuRRtUxTcJ9hv3yYb1GktYk3M6U\nKTsD6TllkrQmn/rU6sz91U1r4vfbznzoFFVqTVxgwo28+tXP53Ofm8GWLU929Fhgx/mbFHMjWD/P\ntqKaj6j8Y0W1JnXRmQT3T9Ka+JjmxEglb0wTf58i/tSgpmDduk3j6ndDa1JU15E0hjStRRpVxzQJ\n9+lTJK5JuJ2oWAZFtSZZ+quj1qTd+dApuqE18f+HixaVexedZf6mnVdFthXVfETlHyuqNamLziRq\n/zLG1A6mOTEMwzAMo1bYk5MeZ+HC/PlzivpTfU1BnFunaq1JUV1HWlyTJK1FGlFj6mRMk3CfabqD\nJK1Ju/MCkt06Wfqrm9ak3fnQKarUmgTdOk57U65bJ8uxxJ3rWXQoWbaljSNIVP6xolqTuuhMgvt0\nW2viY5qTAL2kOWknf04efyqwTac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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "frame[210] = np.array(range(240))\n", + "kind = 'scatter'\n", + "marker = '.'\n", + "s=30\n", + "seaborn.set_style('darkgrid')\n", + "seaborn.set_context('poster')\n", + "ax = frame.plot(kind=kind, x=0, y=210, marker=marker, color='darkblue', s=s)\n", + "for i in range(1, 60):\n", + " frame.plot(kind=kind, x=i, y=210, ax=ax, marker=marker, color='darkblue', s=s)\n", + "plt.subplots_adjust(left=1, right =1.5, top=2.3, bottom=1)\n", + "plt.axis([0,7000, 0, 210])\n", + "plt.xlabel('meters')\n", + "plt.ylabel('seconds')" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.4.3" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/UnreliableDrivers.ipynb b/UnreliableDrivers.ipynb new file mode 100644 index 0000000..70f0943 --- /dev/null +++ b/UnreliableDrivers.ipynb @@ -0,0 +1,153 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 13, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "from cars2 import Car, Simulator, Road\n", + "import numpy as np\n", + "from matplotlib import pyplot as plt\n", + "import random as random\n", + "import seaborn\n", + "%matplotlib inline\n", + "import pandas as pd" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "def random_car():\n", + " num = random.random()\n", + " if num < .1:\n", + " return Car(target_speed=39, inc=5, chance=.05) # aggressive\n", + " if .1 < num < .25:\n", + " return Car(target_speed=28, min_mult=2, inc=1.5, length=25) # commercial\n", + " else:\n", + " return Car() # normal" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "mods = [1, 1.4, 1, 2, 1, 1.2, 1]\n", + "km = 7\n", + "time = 60\n", + "road = Road(km, mods)\n", + "cars = [random_car() for _ in range(km*30)]" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "sim = Simulator(cars, road, 1)" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "sim.loop(3600)\n", + "shist = sim.loop(240)\n", + "hist = sim.history\n", + "frame = pd.DataFrame(hist)" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 18, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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i8jQR878rVszB6tXb67QmrK1cLovOzrlYtuyXjkX9Jk5skvpwBMmVigJb3idF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\nF9O0JibkUsPAtHGQ1iQaSGuSfDvr1y+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QowV6csLxd3+3Ed/61gxs3XoIxWIZ5bKNd975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Hwt4XY8pe9XPYeos/SjKZDG677UpccMFU1Oswrk+kGpfJfGW5aWTrzH6U7Np1DLVaHfU6kMtl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\nO3AV8Fmc3mQdMJh8+KGf4MLlWNw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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "frame[210] = np.array(range(240))\n", + "kind = 'scatter'\n", + "marker = '.'\n", + "s=30\n", + "seaborn.set_style('darkgrid')\n", + "seaborn.set_context('poster')\n", + "ax = frame.plot(kind=kind, x=0, y=210, marker=marker, color='darkblue', s=s)\n", + "for i in range(1, 60):\n", + " frame.plot(kind=kind, x=i, y=210, ax=ax, marker=marker, color='darkblue', s=s)\n", + "plt.subplots_adjust(left=1, right =1.5, top=2.3, bottom=1)\n", + "plt.axis([0,7000, 0, 210])\n", + "plt.xlabel('meters')\n", + "plt.ylabel('seconds')" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.4.3" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/cars.py b/cars.py new file mode 100644 index 0000000..d767c09 --- /dev/null +++ b/cars.py @@ -0,0 +1,215 @@ +import random +import numpy as np +from collections import deque + +class Simulator: + def __init__(self, cars, road, delta): + self.cars = deque(cars) + + for car in self.cars: + car.index = cars.index(car) + car.road_length = road.length + + if car.index == len(self.cars) - 1: + car.next_car = self.cars[0] + else: + car.next_car = self.cars[car.index + 1] + + + self.road = road + self.delta = delta + self.length = len(self.cars) + + self._loc = np.linspace(0, road.length, len(cars), endpoint=False) + self._speeds = np.zeros(len(self.cars)) + self._next = np.zeros(len(self.cars)) + self.history = [] + self.speed_history = [] + + @property + def next_pos(self): + """ + the next location of each car + """ + self._next = self._loc + self._speeds * self.delta + for car in self.cars: + car.next_pos = self._next[car.index] + + return self._next + + def speed_change(self): + """ + calculates the next speed for each car + """ + for car in self.cars: + seg = self.road.segment(car.loc) + + if car.current_speed == 0: + self._speeds[car.index] += car.inc + + elif car.current_speed < car.target_speed: + if random.random() <= seg * car.chance: + self._speeds[car.index] -= car.inc + else: + self._speeds[car.index] += car.inc + else: + if random.random() <= seg * car.chance: + self._speeds[car.index] -= car.inc + + + def check_next(self): + """ + checks next position + for collision with safe zone and changes + speed to match car ahead if there + would have been one + """ + self.next_pos + + for car in self.cars: + if not car.safe: + self._speeds[car.index] = self._speeds[car.next_car.index] + + + + def tell(self): + """ + updates the car's information + """ + for car in self.cars: + car.loc = self._loc[car.index] + car.current_speed = self._speeds[car.index] + + def update(self): + """ + pushes the locations and speeds into the history + and updates the locations, + then tells the cars what they did + """ + self.history.append(self._loc) + self.speed_history.append(self._speeds) + + next_pos = self.next_pos + + for idx in range(self.length): + if next_pos[idx] > self._loc[idx]: + self.cars.rotate(1) # for checking the car order + + self._loc = next_pos % self.road.length + self.tell() + + def step(self): + """ + one step forward + """ + self.speed_change() + self.check_next() + self.update() + + + def loop(self, n): + """ + calculates n steps forward + returns the history of those + steps + """ + m = 60 + while m: + self.speed_change() + self.check_next() + self.update() + + m -= 1 + + self.history = [] + self.speed_history = [] + while n: + self.speed_change() + self.check_next() + self.update() + n -= 1 + + return np.array(self.history), np.array(self.speed_history) + + def errors(self): + for car in self.cars: + if not car._loc < car.next._loc: + raise Exception("Cars out of order!") + + def reset(self): + """ + flushes the history + resets to original locations + and zero speeds + """ + self._loc = self.history[0] + self.history = [] + self.speeds = np.zeros(len(self.cars)) + self._next = np.zeros(len(self.cars)) + + +class Car: + def __init__(self, target_speed=34, length=5, inc=2, min_mult=1, chance=.1): + self.loc = 0 + self.target_speed = target_speed + self.length = length + self.inc = inc + self._front = self.length + self.loc + self.current_speed = 0 + self.index = 0 + self._next = 0 + self.next_car = self + self.min_mult = min_mult + self.chance=chance + self.road_length = 1 + + @property + def next_pos(self): + return self._next + + @next_pos.setter + def next_pos(self, other): + self._next = other + + @property + def safe(self): + """ + returns True if the next calculated location + is safe + """ + # no wrapping + first = self.next_car.next_pos > self.front_zone and \ + self.next_car.next_pos % self.road_length > self.next_car.loc + + # car ahead wraps, safe zone wraps + second = self.next_car.next_pos % self.road_length < self.next_car.loc and \ + self.front_zone % self.road_length < self.loc and \ + self.next_car.next_pos % self.road_length < self.front_zone \ + % self.road_length + + # car ahead wraps, safe zone doesn't + third = self.next_car.next_pos % self.road_length < self.next_car.loc and \ + self.front_zone % self.road_length > self.loc + + if first or second or third: + return True + return False + + @property + def front_zone(self): + return self.next_pos + self.length * self.min_mult + self.current_speed + + +class Road: + """ + in 1km segments + """ + def __init__(self, length=1, mods=[1]): + if len(mods) != length: + raise KeyError("Length and number of modifiers must match") + + self.length = length*1000 + self.mods = mods + + def segment(self, location): + return self.mods[int(location/1000)] # assumes 1km segments diff --git a/cars2.py b/cars2.py new file mode 100644 index 0000000..cd712ea --- /dev/null +++ b/cars2.py @@ -0,0 +1,215 @@ +import random +import numpy as np +import pandas as pd +from collections import deque + +class Simulator: + def __init__(self, cars, road, delta): + self.cars = deque(cars) + + for car in self.cars: + car.index = cars.index(car) + car.road_length = road.length + + if car.index == len(self.cars) - 1: + car.next_car = self.cars[0] + else: + car.next_car = self.cars[car.index + 1] + + + self.road = road + self.delta = delta + self.length = len(self.cars) + + self._loc = np.linspace(0, road.length, len(cars), endpoint=False) + self._speeds = np.zeros(len(self.cars)) + self._next = np.zeros(len(self.cars)) + self.history = [] + self.speed_history = [] + + @property + def next_pos(self): + """ + the next location of each car + """ + self._next = self._loc + self._speeds * self.delta + for car in self.cars: + car.next_pos = self._next[car.index] + + return self._next + + def speed_change(self): + """ + calculates the next speed for each car + """ + for car in self.cars: + seg = self.road.segment(car.loc) + + if car.current_speed == 0: + self._speeds[car.index] += car.inc + + elif car.current_speed < car.target_speed: + if random.random() <= seg * car.chance: + self._speeds[car.index] -= car.inc + else: + self._speeds[car.index] += car.inc + else: + if random.random() <= seg * car.chance: + self._speeds[car.index] -= car.inc + + + def check_next(self): + """ + checks next position + for collision with safe zone and changes + speed to match car ahead if there + would have been one + """ + self.next_pos + + for car in self.cars: + if not car.safe: + self._speeds[car.index] = self._speeds[car.next_car.index] + + + + def tell(self): + """ + updates the car's information + """ + for car in self.cars: + car.loc = self._loc[car.index] + car.current_speed = self._speeds[car.index] + + def update(self): + """ + pushes the locations and speeds into the history + and updates the locations, + then tells the cars what they did + """ + self.history.append(np.array(self._loc)) + + self.speed_history.append([np.average(self._speeds), np.std(self._speeds)]) + + next_pos = self.next_pos + + for idx in range(self.length): + if next_pos[idx] > self._loc[idx]: + self.cars.rotate(1) # for checking the car order + + self._loc = next_pos % self.road.length + self.tell() + + def step(self): + """ + one step forward + """ + self.speed_change() + self.check_next() + self.update() + + + def loop(self, n): + """ + calculates n steps forward + returns the history of those + steps + """ + m = 60 + while m: + self.speed_change() + self.check_next() + self.update() + + m -= 1 + + self.history = [] + self.speed_history = [] + while n: + self.speed_change() + self.check_next() + self.update() + n -= 1 + + return pd.Series(self.speed_history) + + def errors(self): + for car in self.cars: + if not car._loc < car.next._loc: + raise Exception("Cars out of order!") + + def reset(self): + """ + flushes the history + resets to original locations + and zero speeds + """ + self._loc = self.history[0] + self.history = [] + self.speeds = np.zeros(len(self.cars)) + self._next = np.zeros(len(self.cars)) + + +class Car: + def __init__(self, target_speed=34, length=5, inc=2, min_mult=1, chance=.1): + self.loc = 0 + self.target_speed = target_speed + self.length = length + self.inc = inc + self._front = self.length + self.loc + self.current_speed = 0 + self.index = 0 + self._next = 0 + self.next_car = self + self.min_mult = min_mult + self.chance=chance + self.road_length = 1 + + @property + def next_pos(self): + return self._next + + @next_pos.setter + def next_pos(self, other): + self._next = other + + @property + def safe(self): + """ + returns True if the next calculated location + is safe + """ + # no wrapping + first = self.next_car.next_pos > self.front_zone and \ + self.next_car.next_pos % self.road_length > self.next_car.loc + + # wrapping the car ahead + second = self.next_car.next_pos % self.road_length < self.next_car.loc and \ + self.front_zone % self.road_length < self.loc and \ + self.next_car.next_pos % self.road_length < self.front_zone \ + % self.road_length + + third = self.next_car.next_pos % self.road_length < self.next_car.loc and \ + self.front_zone % self.road_length > self.loc + + if first or second or third: + return True + return False + + @property + def front_zone(self): + return self.next_pos + self.length * self.min_mult + self.current_speed + +class Road: + """ + in 1km segments + """ + def __init__(self, length=1, mods=[1]): + if len(mods) != length: + raise KeyError("Length and number of modifiers must match") + + self.length = length*1000 + self.mods = mods + + def segment(self, location): + return self.mods[int(location/1000)] # assumes 1km segments diff --git a/cars3.py b/cars3.py new file mode 100644 index 0000000..c8a8420 --- /dev/null +++ b/cars3.py @@ -0,0 +1,218 @@ +import random +import numpy as np +import pandas as pd +from collections import deque + + +class Simulator: + def __init__(self, cars, road, delta): + self.cars = deque(cars) + + for car in self.cars: + car.index = cars.index(car) + car.road_length = road.length + + if car.index == len(self.cars) - 1: + car.next_car = self.cars[0] + else: + car.next_car = self.cars[car.index + 1] + + + self.road = road + self.delta = delta + self.length = len(self.cars) + + self._loc = np.linspace(0, road.length, len(cars), endpoint=False) + self._speeds = np.zeros(len(self.cars)) + self._next = np.zeros(len(self.cars)) + self.history = [] + self.speed_history = [] + + @property + def next_pos(self): + """ + the next location of each car + """ + self._next = self._loc + self._speeds * self.delta + for car in self.cars: + car.next_pos = self._next[car.index] + + return self._next + + def speed_change(self): + """ + calculates the next speed for each car + """ + for car in self.cars: + seg = self.road.segment(car.loc) + + if car.current_speed == 0: + self._speeds[car.index] += car.inc + + elif car.current_speed < car.target_speed: + if random.random() <= seg * car.chance: + self._speeds[car.index] -= car.inc + else: + self._speeds[car.index] += car.inc + else: + if random.random() <= seg * car.chance: + self._speeds[car.index] -= car.inc + + + def check_next(self): + """ + checks next position + for collision with safe zone and changes + speed to match car ahead if there + would have been one + """ + self.next_pos + again = False + + for car in self.cars: + if not car.safe: + self._speeds[car.index] = self._speeds[car.next_car.index] \ + * random.uniform(.66, 1.2) # they're not great at matching speed + + + def tell(self): + """ + updates the car's information + """ + for car in self.cars: + car.loc = self._loc[car.index] + car.current_speed = self._speeds[car.index] + + def update(self): + """ + pushes the locations and speeds into the history + and updates the locations, + then tells the cars what they did + """ + self.history.append(np.array(self._loc)) + + self.speed_history.append([np.average(self._speeds), np.std(self._speeds)]) + + next_pos = self.next_pos + + for idx in range(self.length): + if next_pos[idx] > self._loc[idx]: + self.cars.rotate(1) # for checking the car order + + self._loc = next_pos % self.road.length + self.tell() + + def step(self): + """ + one step forward + """ + self.speed_change() + self.check_next() + self.update() + + + def loop(self, n): + """ + calculates n steps forward + returns the history of those + steps + """ + m = 60 + while m: + self.speed_change() + self.check_next() + self.update() + + m -= 1 + + self.history = [] + self.speed_history = [] + while n: + self.speed_change() + self.check_next() + self.update() + self.errors() + n -= 1 + + return pd.Series(self.speed_history) + + def errors(self): + for car in self.cars: + if not car._loc < car.next._loc: + raise Exception("Cars out of order!") + + def reset(self): + """ + flushes the history + resets to original locations + and zero speeds + """ + self._loc = self.history[0] + self.history = [] + self.speeds = np.zeros(len(self.cars)) + self._next = np.zeros(len(self.cars)) + + +class Car: + def __init__(self, target_speed=34, length=5, inc=2, min_mult=1, chance=.1): + self.loc = 0 + self.target_speed = target_speed + self.length = length + self.inc = inc + self._front = self.length + self.loc + self.current_speed = 0 + self.index = 0 + self._next = 0 + self.next_car = self + self.min_mult = min_mult + self.chance=chance + self.road_length = 1 + + @property + def next_pos(self): + return self._next + + @next_pos.setter + def next_pos(self, other): + self._next = other + + @property + def safe(self): + """ + returns True if the next calculated location + is safe + """ + # no wrapping + first = self.next_car.next_pos > self.front_zone and \ + self.next_car.next_pos % self.road_length > self.next_car.loc + + # wrapping the car ahead + second = self.next_car.next_pos % self.road_length < self.next_car.loc and \ + self.front_zone % self.road_length < self.loc and \ + self.next_car.next_pos % self.road_length < self.front_zone \ + % self.road_length + + third = self.next_car.next_pos % self.road_length < self.next_car.loc and \ + self.front_zone % self.road_length > self.loc + + if first or second or third: + return True + return False + + @property + def front_zone(self): + return self.next_pos + self.length * self.min_mult + self.current_speed + +class Road: + """ + in 1km segments + """ + def __init__(self, length=1, mods=[1]): + if len(mods) != length: + raise KeyError("Length and number of modifiers must match") + + self.length = length*1000 + self.mods = mods + + def segment(self, location): + return self.mods[int(location/1000)] # assumes 1km segments diff --git a/requirements.txt b/requirements.txt index d039356..bbfe75e 100644 --- a/requirements.txt +++ b/requirements.txt @@ -1,3 +1,4 @@ ipython[notebook] numpy matplotlib +seaborn diff --git a/traffic.ipynb b/traffic.ipynb new file mode 100644 index 0000000..36ec496 --- /dev/null +++ b/traffic.ipynb @@ -0,0 +1,651 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "from cars import Car, Simulator, Road\n", + "import numpy as np\n", + "from matplotlib import pyplot as plt\n", + "import random as random\n", + "import seaborn\n", + "%matplotlib inline" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "cars = [Car() for _ in range(30)]\n", + "road = Road(length=1)\n", + "sim = Simulator(cars, road, 1)" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "hist, shist = sim.loop(60) # sim automatically drops first 60 seconds\n", + "graph_hist = hist.flatten()\n", + "times = [i for _ in range(30) for i in range(60)]" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 4, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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4++7HMTU1CcBBd3c3xsfH8OlP/1jLBiL+xRefivPP/7+1bCDi//rXv8J11zkA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\nvlp+eCziIwAmE+WvAfjW7cCFfuhIkQ2i8uV8tf4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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.scatter(graph_hist, times)" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The suggested speed limit is 123km/h.\n" + ] + } + ], + "source": [ + "standard_deviation = np.std(shist)*3.6\n", + "mean = np.mean(shist)*3.6\n", + "\n", + "print(\"The suggested speed limit is {}km/h.\".format(int(mean+standard_deviation)))\n" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "mods = [1, 1.4, 1, 2, 1, 1.2, 1]\n", + "km = 7\n", + "time = 120\n", + "road = Road(km, mods)\n", + "cars = [Car() for _ in range(km*30)]" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "sim = Simulator(cars, road, 1)" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "hist, shist = sim.loop(time)\n", + "graph_hist = hist.flatten()\n", + "times = [i for _ in range(km*30) for i in range(time)]" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 9, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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3XGZv5DD+2GMfPXL//b+1B85ZqZZsA6lc27VY3OnUbnQ+Io9gsTeahoDGGvub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\nPZ1Jmbv0nRXzcOFJS3cBYV3qG4fJWaKXWZ/NKrwXwA8QQ5N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VzsoAZ5Q4Vs8kQEzEoTEZ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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.subplots_adjust(left=1, right=2, top=1.5, bottom=1)\n", + "plt.scatter(graph_hist, times, s=1, marker=\".\")" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The optimal speed limit is 124km/h.\n" + ] + } + ], + "source": [ + "standard_deviation = np.std(shist)*3.6\n", + "mean = np.mean(shist)*3.6\n", + "\n", + "print(\"The optimal speed limit is {}km/h.\".format(int(mean+standard_deviation)))\n" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "def random_car():\n", + " num = random.random()\n", + " if num < .1:\n", + " return Car(target_speed=39, inc=5, chance=.05) # aggressive\n", + " if .1 < num < .25:\n", + " return Car(target_speed=28, min_mult=2, inc=1.5, length=25) # commercial\n", + " else:\n", + " return Car() # normal" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "mods = [.1, .4, .1, 1, .1, .2, .1]\n", + "km = 7\n", + "time = 120 # 2 hours traffic == 11 seconds computing\n", + "road = Road(km, mods)\n", + "cars = [random_car() for _ in range(km*30)]" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "sim = Simulator(cars, road, 1)" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "hist, shist = sim.loop(time)\n", + "graph_hist = hist.flatten()\n", + "times = [i for _ in range(km*30) for i in range(time)]" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 15, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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KWUEYS8LCKu+NYGIfxjViigT7vVkgou+G32VutsubiqqqXZNVo7Is/wGARwaD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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.subplots_adjust(left=1, right =2, top=1.5, bottom=1)\n", + "plt.scatter(graph_hist, times, s=1, marker=\".\")" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The optimal speed limit is 138km/h.\n" + ] + } + ], + "source": [ + "standard_deviation = np.std(shist)*3.6\n", + "mean = np.mean(shist)*3.6\n", + "\n", + "print(\"The optimal speed limit is {}km/h.\".format(int(mean+standard_deviation)))\n" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Aggressive Cars: 28\n", + "Normal Cars: 158\n", + "Commercial Vehicles: 24\n" + ] + } + ], + "source": [ + "print(\"Aggressive Cars: {}\".format(len([car for car in sim.cars if car.target_speed == 39])))\n", + "print(\"Normal Cars: {}\".format(len([car for car in sim.cars if car.target_speed == 34])))\n", + "print(\"Commercial Vehicles: {}\".format(len([car for car in sim.cars if car.target_speed == 28])))" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Suggested speed limit: 40.068106112125996\n" + ] + } + ], + "source": [ + "speed = []\n", + "time = 60\n", + "sim.loop(2)\n", + "for _ in range(1000):\n", + " sim.reset()\n", + " hist, shist = sim.loop(time)\n", + " speed.append(np.mean(shist) + np.std(shist))\n", + " \n", + "print(\"Suggested speed limit: {}\".format(np.mean(np.array(speed))))" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Which is 144km/h\n" + ] + } + ], + "source": [ + "print(\"Which is {}km/h\".format(int(np.mean(np.array(speed))*3.6)))" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "cars = [random_car() for _ in range(30)]\n", + "road = Road(length=1)\n", + "sim = Simulator(cars, road, 1)\n", + "hist, shist = sim.loop(60)" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "times = [i for _ in range(30) for i in range(60)]\n", + "graph_hist = hist.flatten()" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 29, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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4zKUWxAQpAiqBRWBhjJe6IBNh2D6lkRn1YFE+WfiNYYmq1akCnWoRvyt1Uf23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\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.scatter(hist, times)" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Suggested Speed: 138km/h\n" + ] + } + ], + "source": [ + "print(\"Suggested Speed: {}km/h\".format(int(np.mean(shist)*3.6)))" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "mods = [1, 1.4, 1, 2, 1, 1.2, 1]\n", + "km = 7\n", + "time = 120\n", + "road = Road(km, mods)\n", + "cars = [Car() for _ in range(km*30)]" + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "sim = Simulator(cars, road, 1)" + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "hist, shist = sim.loop(time)\n", + "graph_hist = hist.flatten()\n", + "times = [i for _ in range(km*30) for i in range(time)]" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 34, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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UmaxDP8L9HzF+rzNrocKTsHWbVoysAg0ykm1lweRiNU45jsknDHd9JK6eXr9B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Ww5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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.subplots_adjust(left=1, right =2, top=2.5, bottom=1)\n", + "plt.scatter(hist, times, marker = \".\")" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "mods = [1, 1.4, 1, 2, 1, 1.2, 1]\n", + "km = 7\n", + "time = 60\n", + "road = Road(km, mods)\n", + "cars = [random_car() for _ in range(km*30)]" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "sim = Simulator(cars, road, 1)" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "hist, shist = sim.loop(time)\n", + "graph_hist = hist.flatten()\n", + "times = [i for _ in range(km*30) for i in range(time)]" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 8, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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RHwjhijMw2inU2gjypV2ZlKAxV5kv+uEQdjaQOvDtQ7CLsu51yXOBiod0HNAz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BkbE7OtVxRFX8P+wz8XeBX4hTnQVluRRcwB/fdc6L91QFcYhn8fhuGj+ut6tvV6B/BUGIYPAV8H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\n/Zn9ZAh4iwAAAABJRU5ErkJggg==\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.scatter(hist, times, marker = \".\")" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Suggested speed limit: 135km/h\n" + ] + } + ], + "source": [ + "ave = []\n", + "for _ in range(1000):\n", + " hist, shist = sim.loop(time)\n", + " ave.append(np.array(shist.flatten()))\n", + " sim.reset()\n", + " \n", + "ave = np.array(ave)\n", + "print(\"Suggested speed limit: {}km/h\".format(int((np.mean(ave) + np.std(ave))*3.6)))" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.4.3" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +}