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@danielballan
Created September 24, 2014 19:42
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{
"metadata": {
"name": "",
"signature": "sha256:69deaf4ccd5dbae56eb65a31fa9e8b3e57c4c6356baf75b48cfdb9de54cabaf8"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Winter is Coming\n",
"\n",
"This notebook produces Figures 1 and 2 of [*Winter is Coming*](http://arxiv.org/abs/1304.0445) by V. Kostov *et al.*.\n",
"\n",
"It requires the data file `time_temp.dat`. It should contain two columns of numbers with no labels. The first column counts days; the second column gives the temperature in Kelvin."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"%matplotlib inline\n",
"\n",
"from __future__ import division\n",
"\n",
"import numpy as np\n",
"import matplotlib as mpl\n",
"import matplotlib.pyplot as plt\n",
"import pandas as pd\n",
"from pandas import Series, DataFrame"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 1
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"styles = {\n",
" 'font.size': 24,\n",
" 'xtick.major.size': 8,\n",
" 'xtick.minor.size': 4,\n",
" 'ytick.major.size': 8,\n",
" 'ytick.minor.size': 4,\n",
" 'font.size': 20,\n",
" 'figure.figsize': (12, 8)}\n",
"\n",
"mpl.rcParams.update(styles)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 2
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"Y = 1200 # days (rows) per year"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 3
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"t = pd.read_table('time_temp.dat', delim_whitespace=True, header=None)[2]\n",
"t.index = t.index.values/Y\n",
"t.head()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 4,
"text": [
"0.000000 278.72908\n",
"0.000833 278.85445\n",
"0.001667 279.01418\n",
"0.002500 279.20537\n",
"0.003333 279.42230\n",
"Name: 2, dtype: float64"
]
}
],
"prompt_number": 4
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"coldest = pd.rolling_min(t, Y, center=True)\n",
"warmest = pd.rolling_max(t, Y, center=True)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 5
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"winter = pd.rolling_mean(coldest, Y, center=True)\n",
"summer = pd.rolling_mean(warmest, Y, center=True)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 6
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"worst_day = coldest[coldest == t]\n",
"best_day = warmest[warmest == t]"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 7
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"fig, ax = plt.subplots()\n",
"\n",
"ax.fill_between(t.index.values.astype(float), np.zeros_like(t), 273*np.ones_like(t), alpha=0.2)\n",
"t.plot(ax=ax, style='k-', alpha=0.4)\n",
"worst_day.plot(ax=ax, style='bo', markeredgecolor='None')\n",
"best_day.plot(ax=ax, style='ro', markeredgecolor='None')\n",
"ax.set(xlim=(0, 100), ylim=(t.min() - 1, t.max() + 1))\n",
"ax.set(xlabel='Time [Approx. Westerosi Years]', ylabel='T [K]')"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 8,
"text": [
"[<matplotlib.text.Text at 0xab740f8c>, <matplotlib.text.Text at 0xab7608ec>]"
]
},
{
"metadata": {},
"output_type": "display_data",
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lm0IhO6UiaAJHImfUcucXmc7n/XiNZzLak1b4MUB98N47diTf6CE4vD6uysoVing87r+l\nhjCdKn3zTfGFdSE09pcBYHJ2AmdEhdwkaVuRSATPhp9RvVa8/XbyVjuAVnpIwVmsoYi4htNXqNCH\nB24nGPLMeuxrGT8e/UOIdhvDNoaoIKM4JMkaaWS6FEcr/JxJqVNBGTDo6afROyMujoxtzc2ug6uz\nTmOobVJFlFSheEU4StSHrzz6maZIGOhpUCbmOcuj3KNRuJTYsQGAUJpYMcXPX8ULv1XMaBS2b96M\nbdYgXc5E4eHXxqv9n/voI30qLy8IFiRER/0L1KZwdvrSSEfQCn9ALo4Zk/zH++8X6hAiA9roKX0M\n3wcrGPa1OI29eflyIaueytpfAvhHOHIZjL3ib8+bMydZyWGpuKYIOTk5eDdGozD/n/9kaxOb7r4B\nLv4qtr4A5etDAInCYbQnlfoKJoeBoca3RD+x9OOPxfUB0SgcrqgI7fkUKsmFDZfdrFSbwLI+H4lm\nQUmH5VQM1Ec8+M47aOXSobhmPPQQANCFEkxLgior0Sjs2LIlfVc9/SIc0YDYhZn93nuuaafaIMGb\nIIOGruMELv4qK5YuTYru1TByZPK9abTKF5Rhv/wls/6UqdyiVqUDhhTWAEA0Chfr67k46QrXaVCy\nMW0anDx6NPD7hbnP1Qo/DdEo1FVXXxUcxKATKSjATi4dFPzzo0YxS8v3WHtOq55hs7/EwdeJKkBU\nnnSQZ+s7YsfhZ0DSoKOwz4VMUIPz3jffFOb/oHpfQdJG+5aUJP/R0p9Ka+/O3UackMKSUV0ucGDh\nXMszahoAuO5Eh1lpp0Er/JSQCk46KEFelL/1VvJgi4qlj2trrrGDUPwusphkKWAyElp/GI5mfs4z\nQtLOiRfDXwVJNAptzc1EO4FhOXAndO2DBYndG6yQwppkHH1UEPO1IKCeZS6/1hObFTI71VF6FMVL\n+G2/IZSt+JQpPIqEhehZLHZ+VmfDxFa734Fmgd6F06qnsvaXAMi6PPjXv3LLTtTAEAaQNvyczyuw\n1Wk0CsuWLEkfczZMfxVfOE5mrX1F2FcV64cPT/4jo12ksNcNKUqNIYg+qvs3v8k1S9ljgVPeZMqf\ntuFXDOwPglC22letst2CEixejh6iGxVVmRKz8FXLl7ObhVOcjBwqXCIcXWpoYPe+CpqMyB40rLi2\n4QDKJM3gw9ucTSkw/FWoDtQJeQAG1uPKrjfeCByelEXZsFGwr1IaRDvKXL9eQkE6EBV22Q9DRlNp\nMqoVftYklK31+fnIzpCXoi5K+RF9SBe1GUfie3yyaFHH92AwiCtlfynqxFsGkydWsqOSom/FacMf\ntJzMD55JY7Bkzs3p09Gucn7xC+L8leorWBCNQuzKFaTDo2w5dZq3mX1VdnaHUqvQxC3l5IIhYTzo\nSrbs46IVfgxUD7VEispl40VQx1Pl8VjJZR57PjF5qq6sDLSyRyt3NBNhaTLvstpI+018HdbTYZUT\n8Y7Iszh8iK9Zk7xyjbADvwYVUlhhaGSfpdJFu8gVqO0m+qrGe+9V3oFXOoh21D55MnEyrPrYdNRP\nRKEVfsZUVVUh/85LiFO1cbB+r3g8zszMQSn7Sw1zgsoe0oZf1nkFIVjlpAax63RlxYrAaa1esYJ5\nKMKw9BUkkwNjMtDa2sq1TCzosXVr8h8VMG1jLhc0O9eIdtS8bBn242HUQcJYZhZohZ8xBYkwnCoI\nlNsqjcyoEH73qlBvoSIdVnIVgma1kaUyidWGjbjzI0akziqni7/K9s2bqcPt+QVguMAwpHCYMdrA\n+++/zyxNFmNSKtlaY2G0hUgkeee6Xz+yCUCiHe3cvj0l/NzSThYw0Qo/Y5yCxssBhWabVCWl+vz5\n856/My0rI+VYKftLxkfb644yOCLj8JOQtXNn8h8VWOUkRqRJHqJdVbz9NnEySvUVaUjjuHHJf1Rg\nQYRaLhARqmwEnODz1g1U0j3SEa3wMyadFSaSUFfGbwsWLOBaJhupErXHZZVz+SefhPN9AqL64KF6\n+UIHhr8KCX7PHPrb3zrswC9ckN6uVBhXWMqzqHC+p99/n1lkIaVAtQUvwjjBDyFB5Jq5r50HWuFn\njAods4Eokx4DFtFFuEcoMcwcamo6rgPYPUq1y1XA8Vi27a6qUayQNvwuiOwnGkaOTP6jAqucLGF9\n+A8AwDqKyYQBq74iDJNHlcY+G9EonD5+nLl/Bg3Cx5BYDGusI5EzZb93SBHRxrXCryB6W43MeSwI\nvR57TLriHAgF4quvXLkSAAAuX74MV65coUqL96ARBlk34FUXe//0p9RY5dT+Ktxh2V5ER8jCPiAz\nrOcrWMvdt2/Sz+ahc9nZ6OcxbPxVPkiRtn9sbm6GWCyG/C1M4wQN0hX+uro6mDVrFjz22GMwcOBA\n6NGjB2RlZcHEiRPhH//4B/JDXLx4Ed544w0YOXIk9O/fH3r37g133XUXPPPMM3DixImk+z/44API\nyMhw/e/vf/974PL7CWE6R+cJ0kBFrRp02rAh+Y+YirOqdrmiZe3gwYNc8vPKUwRB82Zlw8/l3aNR\naGtuvrrKGUalJ2GSJ3riQvM9cPoKvVIqEAV2SAECjCHOctfVAWRn28xTD5SXd7Tv2lp7ZDAUIXLi\nZ9kfHjlyBPte0e1SRH6duOfgw8KFC+FnP/sZDBgwAKZMmQK33HILVFVVwZIlS+DJJ5+EVatWwaJF\ni8z7m5qaYPz48VBaWgqDBw+GH/zgB9C1a1fYsWMHvP322/Dhhx/Cli1bYPDgwUl5Pfroo3DPPfck\n/X306NFc31EWYZgUaAiZOrWjg7aSWOX0jc3OGFmKigorhrTIaJvm+xjKg4Ex4Idh1T8ahSWLF0Nt\nbS089dRTTJNOVcU7Ho9LW5gSCdY7KLBDGghUuRsaYNaMGfDII4/AjTfeCGBdcIhGYdbMmdCpUyf4\n9yefdHfuNVi3DuC73yUqEkmAElUOEzRW+FetWuV7byq0CSfSFf6cnBxYvnw5PPLII7a/v/baazBm\nzBhYvHgxLFmyBL71rW8BQMcEobS0FKZNmwZr1qyxPfPyyy/D7373O/jjH/8I7733XlJejz76KPzb\nv/0bk3LzEIYwCJjoQZFXnbRNmgSdnceHY5oHSLXhT6zOxtetg3g8DhlTp3b8beZM10d41SFPWVBB\n+SKtN6cNfywWg9OnT3cMxioRJqXngQeuljch6zLDCpMis69g7esShvEpLLCUC99vhlokYgivSITp\ngsg6kW7SM2XKlCRlHwDg+uuvh5/85CcAALDeopidO3cOAAD5zDe+8Q0AAKgxHDLTAC9hUUFpwuXM\nmTO2a96N4OKSJeGya7aaYADA5vXrpTuhpdoKOA/q6upkFyG8cDK/kH76soYJJFHhTMLqB+JRbl85\nRh3C55IWL1Qxj2HhlOz1LiR9i4z+R7rC70WnTp1s/wcAuD9xLP3KlSuTKmxF4pTFadOmIdP74osv\nYPr06fC///u/MGfOHDh9+jTzModJyfZCtDBu374dANg0VGyiUdhVXExs1yzchh+h+Nz93HPYj6eK\nTIqGtN5UjcPvJB4WpSdMOxEuqOrvk4qgxoikv8k6+doBllw4Fnncym30U579VSI63aljx5Jt/FVf\n7NIwQ7pJjxttbW3w4YcfAgDAQw89ZP59xIgR8O6778ILL7wAubm5MHXqVOjSpQvs3LkTNm/eDE8/\n/TT8/Oc/R6b55z//2XadmZkJTz75JEyfPh26du3K5T0OHz4MAOwUVqNRqxqaMCwkxb5V2a4Zofhk\nlZRIKEh6gaNAhPLk6DVrAB58MNksTMMMJb+7YJStg2gU5s6ZA01NTcH8QKxmZn37AtTXd/ybZTtC\njUfTpsGsGTOgW7duNtPkQCY10Sh8vHAhNDQ0MPeF0aiLsiv8v/rVr2Dfvn3wyCOPwAOO1dYHH3wQ\nvvvd78L+/fvh7bffhj/96U9QWFgIkyZNgu9///uQkWF/rTvuuAP+8pe/wIEDB6CxsRHOnDkDCxcu\nhNtuuw3+/ve/w7//+79Tl9cwNXKyadMm32dVXIGlKVOQkJpCV/ZREKwmSrXh50wYHHFVneySxOGX\nTjQK0VWrpJuFeaLYTsTJkyd973G2n1TsK5xtyXkuhyxFn6TvChymExUtJ4DJma9cMD5kzsD6bGNj\nI9Z9QdKmgaf8pHPURABFFf633noL3nzzTRg8eDDMmTPH9tvRo0dh1KhRMG/ePJgxYwZUVVXBhQsX\nYOXKlXD8+HGYNGkSLFu2zPbMpEmT4Gc/+xkMHDgQunXrBtdffz185zvfgYKCAujbty/MmzcP9uzZ\nQ1XmTz75hOp5EagQ87y0tNQ1Fq4MVJxsJYFQfM6PGCEse1U7M6mRbihBlV2qLKoYppMiDCfrCWRL\nSwvU1tYyzTdV2Lx5M/EzPGQ9UN3j+IlY24af82tITM6OHTtGfYaKKMLcplQru3ImPX/5y1/g2Wef\nhbvvvhvy8/MhKyvL9vsrr7wC1dXV8NZbb8GPf/xj8+8PPfQQfPzxx3DPPffAM888YzrwenHTTTfB\n1772NZg7dy5s2LABhg4dmnTP448/DpcvX4bm5mbYsmULAADU1tZCcXExbNq0CQYOHGjeW1hYCPv2\n7YMBAwaY1xUVFebKX2FhIezevRt69+5t+/22224DgA7nZKsdcElJCRw9etS8rqiogLNnz8Jjjz1m\nXm/atAm+/vWvm9eFhYXm6kFZWZntesuWLXDdddfBTTfdZOZvBXVtdTp0e78RCeVz06ZNtvLv3bsX\n6o3tTrhq49ze3m67tv5eV1cHX/va1yAej0NFRQVs2LABHn74YeT77d27F3r37g2TJ08GAIANGzZA\n9+7doUePHtjvd+jQoY6LqVOhMNGZ5xm/33MPgCU/6/N5eXnmtfN35tcJ/4J1a9dCJBKBKVOnQtkr\nr0DF4sW2+igtLYWsrCzzeuPGjdCrVy/o06cPdn1Y5c34vsOGDbNdG/JcVFSUJN8VFRUwceJEAOiQ\nN+s3Lisrg6amJvO6oqICIpEIDB8+3Ly2vo/z+osvvoBYLGbK2/r166Fz586e72PImnFdVlZm+gQZ\n5R03bpzt2sB4P2t5rflVVFRAnz594JZbboFIJAJr166FO++801b+zMxMs1/xe7+ioiKor6+H3Nxc\n1/dxXlvrs7CwEPbu3Qv9+/e3vc+gQYPM+rK+z+7du6GqqspUeozU8xJKT+FvftNxzVu+ndevvgqQ\nnw+F8TjAiBEwrKYGFi1aBHfeeSeApQ5Q9dHS0mK73rNnD2QnnBSN+rjzzjuR9bFnz56O+kiA6p+c\n19dccw185zvfMa83bdoE3/zmN83r6dOnw7PPPgsAAPv377d9723btsHhw4fhlltucX0f57WzPy4r\nK7P159b+eOPGjVBRUWEqHXv37rU9X1FRAU1NTTBp0iTzev369fDggw+a19by5ufnQ6dOnWDChAm2\n3w3Fcd++fZCdnW32x0b/Y5jLWt8nHo8j388aJ914nyFDhtiujfFg27ZtSe3TuphUUVEB3bp1M/sn\nZPtbu/Zqf5/4f15CaS8sLAT4r/+CvIT5pPm7837rdSwGeQkLg8LhwwH+9CekvDvHEufvbuNRRUWF\n2Z8462P79u1J9WG1djDk9dZbb4WWlhakPMdiMTNMOU5/3N7eDmPHjgWAjvZk9bf06o+N779v3z6z\nTzXe595777VdG6D6427dutmut2zZYkZ0RJW/W7duZn/o9347duyAs2fPmiHevdpnJBKBwsJCuHTp\nku330tJSuOGGG8zrtWvXwrZt22Dt2rVw6NAhOHz4MJw8eRIyMzNN/ZInSin806dPh+effx5yc3Mh\nPz/fHLisFBcXdyg9U6Yk/TZ06FDIysqCEydOQH19PfRFnEbnxMjDbXvrgw8+gEWLFkF9fb1p6zZz\n5kwYMWIEjBo1Cs6fPw8LFiwAgI6Geu7cOVPJzcvLgwMHDphp5eXlQVtbm9mpOX+fNGmSrcMbMWIE\ndOnSxbzOycmBa6+91nY9fvx427V1q/Cuu+6yXY8bNw5uvvlmU8k1fnNeHzhwAOLxOOTl5UFVVZW5\nY5KXlwc1NTXmoOEs/4QJE2zRdnJzc+Hs2bO28llBXRuDl3FtDEao98vNzYW8vDxzQJs0aRL07NkT\nduzYkfSFbnYVAAAgAElEQVQ+btd9+/btcBiORiHvgQcglp8PMQDImDq1Q9G24KaoOH/nch2NwqGZ\nM+Hxxx8H6NIFYMuWpPoYMmSI7XrixInQp08f+OKLL1zf33l97bXXmit2KPm1Xo8ePRra2tpcf7/v\nvvtsq6J33XWXrUPMycmBUaNG2a4NZcG4tr7P8OHDYdKkSXDhwgUAAJg8eTJ06dIF1hoDI+J92tra\nTD+avLw86Natm7mbR/p+OTk5Se3RmCzE43G4+eabbeVFvZ/zd+v16NGjYdiwYWadGb8Z55Cg3u/S\npUvw0UcfmdcXL1402yCqfzHqAgDgnnvu6Zjg/d//ddwPFtatc5V/rtcW2+U8AICSEmj91rcAvv99\n8/4lS5bYnrfWR1NTk7krnJeXB42NjXDq1Cnz2lofkydPhmPHjpnXw4YNgz59+kBzc7NNUQToGNBR\n/VW2JeJJTk6OOdk1ro3JBQDA4MGDk/rjm266yTYeAKD7Y+Pa2R8bO9yo95swYYItMEVubq5tQpOT\nk2MqP8a1V/u7/fbbkfIcTciJ0f8Y/fGECRMgKysLtm7d6vo+zut+/frZ7vdqn/feey9cvnzZVh6r\nwp+Tk2Mqo6j3ycnJgbxIxIxRf/WXq/lBou9E/u52baRXUgLw6qsAiTxJ+/u8RPjlWMLPJi8ahQMz\nZ5r166yPsWPH2hYAcnJyIDMz03Zt9FfGtZWcnBxz8cW49uqvhg8fDhMnTjTznDx5MnTu3NmzP25v\nb7f1x127doW9e/ci3wfVHzu/r7G4Z1zfd999nuV3k4d4PJ50/5gxY2Dw4MGmDmP8ZtX3nO/n1Afr\n6+tNc2/jfe666y6YMGGC2Vc9/vjj5jgW5WxemeF/ixhef/11eP7552H48OFQUFCAVPYBALp06QLx\neByqq6uTfmtpaYGLFy+a9+FgRIe54447ApbcDpbHPANU2yqSAYs6tqWRiGQw/5//9DQdcHbUXFDR\nxMKBs/5Xr14tJF+Zsu8lc2Gx4Ve670DYLiNPxWaIsz7WIcwygvY1QvoKhohyQlfGlDKgn4g1xKVp\ncoaCxg8sGoV9u3dz8bNRpv4Zo1rfplp5lFD4f//738Ovf/1rGDVqFOTn59tWTZwYITdfe+21JBu0\nl19+Gdrb22H06NHQs2dP8+/FxcVJ6cRiMfif//kf2LZtG1x77bW2SECySYc40bjvlpaHenjYlar8\njidOnJBdBFdYyZHo04yFwNo5lvNklXddW3d10gWafiXI91CmH3PGqDdCehvyi7ASiCei5UBbG0Bt\nLRQkFoqAhVw62o4+JV0MtPWh6ns5kW7SM3v2bHjppZcgMzMTJkyYANOnT0+65/bbb4cf/ehHAADw\n4osvwtKlSyE/Px8GDRoEX/3qV6F79+6wefNmKCoqgh49eiSF3xwzZgwMGTIEhg4dCjfeeCOcP38e\nNm/eDPv27YOePXvC3LlzoVevXlzfUwWBUFkpce6M8D6KG0upQ5zyCQA2Oz8uuEVoIDz63AsV5NGK\nauUJAm4c/ng8bjNtkoXZHyR8RGL5+RCJRCBy//1kK4rOMIXWw8bWrgXo1w8/dCHiVNA2i1kfS1jI\nnF+fau0rghzkoyKhDEXrRTQKs2bOhPvuuw+GPPecXf7q6gCysyFWX3+1baxZA/Duu8npoE60dZk4\nI8cQRCjOW598EjY/8USw91II1WWCdYSheDzu265l1Il0hd+woYzFYkhlH6Bj+8tQ+Pv16wdFRUXw\n+uuvw7Jly2D27NnQ3t4OAwYMgCeeeAJefPFFm90kAMALL7wAO3bsgIKCAqirq4PMzEy45ZZb4D//\n8z/h+eefN51m3ZDVIYfpCHlnPmEbxJJQOS6/BgDUiNKDClFodexFYXWMVoaE0nP77bcnhUH2xNlO\nUCcLOycAXu0IMflo/PhjgIRdrAhE7yqqrgwFJZTvhVpsaWiAWTNmwJe//GWYOnWqaaOfNM7RTpwR\neffcsQMAU+FHjbm8F8404UK6Sc9LL70EsVgM2tvbIRaLIf9z2lT26dMHXnvtNSgtLYXGxkZoaWmB\no0ePwnvvvZek7AMA/OEPf4DCwkI4ffo0NDU1waVLl6CsrAzeeustX2UfQF4jCVvjDFt5PfGIg2yu\nzDhNF7xMGay/9evnbfKgWPxxN8IwqeMtk9Y6yMnJgXnz5vnmb40chEJmOyLOG9VO/PALXZgwkdi9\nc2fgCbYqfVHYbPh5oMq38INJOROyu3rFCs/T22XJxZo1awAgue8+f/48ddpe9ReGsUIWItuHdIU/\nrPD4SGHpGEWCUycizX1MUHb2bvGcSQ9rQdmV6p2FUNDc3Gy7Rg10oRj8FHAaF7kj6XXt9b2YBw4I\nMSnxHiwXW3Bi/PvkfdkSVYYnCzjvoKWlL54LMt9PK/wYpERHlgYw7VQ8Ov7CwkK8lc21a4Mf1pJY\nKYquWhU6ZZ9Xe1F9IMC14WcJzYmYrt+J5DAiVP7Z2RCLRDoil6ACMMRi9omEApMLUnDr3Rm7W3VY\n2Oer3k49wTjsDTuohscuMVIuEAs9x1G+Agxg2UeH+nunGVrhF0hra6stzn4YYdFReJ0y6ua0Kxyv\n6A1TpqAVHRQ49xkKEELhkV4P0LFq7WeGkkqoUOekMC2zh6ICAPYJgZE/wFUFqbYWZs2YAR/MmgVQ\nW3u1HdkLfNWhl2QV1AeS1XkajHDOmhQkGoXoqlVJ4TCFrFInFnrOnTkTuoUeL2jGdZq+zXouASmp\nFiEJQCv8zPH6mA0NDczzU1E5cZbJejhKqEh0vmdOnuy4TigmeTzyclF4VPm+SjqaKobqcfiZOfCh\nJgQZGe4KklfYQpSTb2JywUv2WaRbhyo3Apk2/CThnVXpZ1QgFovZDmQLjMcusZ9cpNr3kOU8bBxa\naIDSz9rb26G1tZVJfiRtTcY31gq/goTV+cWt3Bs3bsS+V1lcTHhM04Vp09ArmY57aQ5rCRsqRYhQ\nSXlUPjwjSlHJyrq6CxWCtqv6wJtKuMkt61CHoqipqUH+nXiVGscXK4TmbG6o2I6cPlUo9u/fL6Ak\naqAVfoHwMocJG14mPTj3BrmHJYXGPzIy4B8zZ15d2UysZDZajvc2SRzWsm3TJoDaWmi6eJHdYS0u\nsKwX3nXsVL7CKOcybPhpcO2PnIpKdrbd0RxB4733+ubXjGoXKBt/SRGpSPpn3HvDZsPvB+uTdlVq\n542NjQDAeAKTGBPampttyn5hYSGWrwyOnPGsQ9bfW0VEB2DRJj0pSGijcyiCcqvBBNEbTr//vqkw\nuTl+BUmXJzzqm8m2uOL4tWmV27znN08oKu0tLVcPzXJgXbk89Y9/+OZXNWdOskOkxcbft61IRJRv\nACkqKcwkqLT7Z7B7926i+4nLbF3N/6//8vSVkV0fKkTVEbX4I7st67CcIcDtI9GEcMP58CqujPDg\nwoULsotgJxqFlokTIRaJwCQcxSShMDntmg1sp5xalKBTgwczU3hkR2IoLS0NnJ9X2VXaBbCWgZUN\nvwrvZeAanzths1+6a5ervCK/YTQKRw8etLeLaBTmzZnj2lZE43e4Ggq3e8Ieh9/prC97xVkmNDtA\nmQ8/bFvNzyspUdI0jscul+rgvkcqyLX0k3bThVQQFgB2Zkl+9fHJJ59Q58OaI3//u+mP8NRTTwGA\nvT5isZhvGm5K0GcrVkBlZWVH2gzKCkAmc6p13mG1/w0TON988eLF8OSUKZDh9CtJ7EJt3boVcnNz\nkc+SLIqwkr90+968221BQQFMMyKUJcD9rqqaNQQlyCKfeQ+uX5aCByxqUge9wh9yUm2Acxs0WNvy\nkww4K1asgMuXL5vPuNlqX7p0ibgcpMhyPiXxu1ARXhMIax2oHoc/6M5Iy4oVvrHJabhy5QpcuXKF\nWXqksHS8dqbF24afd/9v9GmsETVuqdoXFwJ0mPYoas42f/582UUQBuk4FqZxz4lW+AUSJkFJF9Mh\nXM6dO8dkZRI3IsCZM2ds1yyVEtbPpDN+30VUffKObx1fswb++cEHXMxuPvnkE6kKf6oSZIKn+3t/\nArU11Mr9/febpp8LP/qIi7JPWtZUmIhp3NEKf0CMmPosBDdVjmfHHWBYrRbLOtGVxlYbN97v8uXL\nA+dhEKZOVaWykpgifP755+a/VY/Dj0MsFkOa3O3atQvrEBuSA9q++OILAAC4ePEiWSExYC1PQZ12\nedvwi+73cRY9SEwbZfnj8K43Z/rtq1bZdsnyJK/mi5Ybt+8sOgpfEB8F1hNmmWOdVvgDwjICiZsA\nqLAyo8JEwg8RDUglhVQjD55yoILyduLECeQpsrhO9EZoQxyKioqw72WJbst8+eCDD3zvUfUbxONx\nfu0wGoVNhYXIXbJUWDhU9ZsGRVQoapFohV8hUq3BpCputtqqTY5UKw8OokyXWOVtBdeGn7S8ov02\namtrk+4Loyz5Ybx/QUEBANDJ0UcffYT8e1hs+FksOvEsh0rQ7EoYMuaUC9Xfm7Z8JIcNql4XtASJ\nAsYKrfBL5PLlywAQ7ORNVeNCB4XFYScyOgpruYMMBEuXLiXKT1Z98JIvFitKXu/J2rY97O1Mk8zJ\nkyep0zD6cg0eqrSjlpYW33vcTt4lwdmn4Jg9sSAejydN4Emf53mPyso9L8Vcm/SkECSK68qVKz3v\nVbkxoDDKu2vXLiXKwStNw1a7tbUV2ybfLb3q6mr6wklC1qAts1145Y2y4eddRzQTGty+Kmz9kEp4\n2fDLNsEICouwnKqwbds22zWqzGvWrAEAtnV96NAhZmn5cerUKWF58YC3Xbwqk08RaIVfIEmOPAQO\nbmGipKTE9x6amMa4aQWlubkZK2rIokWLmObLGpIdojCTTh22G7yj9ISNVH43K7ydk3kThu/k5rwZ\nhrKrggrjelBYl0PmeKUVfgpQ0SxSjTDOnFnk62VqY9hqO2NUq6Z4prpsGoh8T69vzMuGnxUizMGs\nz8lY0OC9u2eA+w1Z2/CnS5tOFdy+l9FXFBcXez7PwsYd535WB2r6/Zbq8svLzJQVWuGXiApROXim\nwUKwZTUOpzIvu6M6fvy41PxpaWpqorZzpvkGfmYsIsrgxtGjR5mnSQKNjS8LnN9ExVO2NekBzuQu\niALt9ozfbjivMVS1xSlW8Bynw76bBqAVfqnwnlWzQBU7U5W2mlnEW7em7/dubW1tph1pWDl48KDn\n76K+L0970KA2/FHJp2suXrzYdi07HN25c+e45o9bDhawjsOvoqLGIuCCLJqbm23XBw4cIE4jyDeh\nGUNE+0r4Of6K2kHQ0KMVfoVQsYMMo0mPivXohUrlVTEaj0qIeA+V5MEN50nQOESjUW7KvOxJCk05\neO2akphRhEHmWGLUuXPn1LmziwPPupMdtjIej8Px48ehra2NOh2va5JnNcHRCj8FpFtlzt9SRQny\nA1VPqjdir/Lh2mrLQvW6lQlPkx5auVClP8Dp19xOgvaTPdHmQ7IXHXjH4WcNzmnKolG1P6MpF48x\nhJeshym4yIoVK5RIQ1W0wq/xRLTNPgluW5uyB3nW97J4jhbaOlVFmcVBVQVDJLzqgEW6KFliaVaC\nI6thDkjgxZIlS7im7ySMbU2bsPAliIMv7r04fUdlZSV2vmFDK/wKolInyGOAZt2QRdcXrQ2/c3tU\nReXq888/970nyIFxLGEdCQHnmStXrrhub7Pw7SAljFvjtOXw2jEUFaXHD6MNsLbhV8mXKYz57N69\nm/gZ41vS9Gvnz5+3XcvoK8KKKv1WKqAVfomosgqgSjkAxJfFrTPh2cns2LGDW9qsoIkKRBMVglW9\nu8XOZgHJdjyLk4RZkw4DqOzdvsbGRin5arzZvn275+9efRfNIsLSpUsD+QeIgsQUOd0Isuio6kKM\nVvhDjpew8FCywtD4eTcgN4UvPz8f6/nW1ta0ULpIEOV0yTMfVna5LMP+pSIyHMtJ6re9vR327t0L\nAOxt+FUI5exWFyxkUmU5PnLkCNXzVlt41f3AgqDyt2MBK2sDffBWSInH3Q/eCtL5qTgrDIOCT4Px\nfs6wl0HqFzcCSap3jLxlJuz1R1o/YX9fK6n0LgDq7EjS3kuTZqqPEU5OnTplu041mXbC8vumel2R\noOPwpzh+Ns9z584VUg7Wg8aePXs876URbFFh7o4dO4adBg/7y1gsxjxNlVBFKcApB8s4/CpSXl7O\nLe10G9D9tvJZ2/AHQeXQymGUF9ydXCfWd3XrK2bOnBkobZmI2pFk7bOVjmiFXyCpKpRtbW3EpkW4\nOyPGvV4HoqjiqEfD2bNnse6Lx+PQ2NgYKA66JvXaYJD32bZtm+8E05ouyzojXSFubW31PY0UN58g\n96iGKhPnVIX1DgavdhQ2RC/6uUES4SuMB4b6oRX+NIREkFUYYHAd4HjvBhj42V/6lcPLFAyHTZs2\nCY9njkL2CZuqdaYouVC1rXnV3ZUrV5jlY9iyB+Xs2bO+pzTLxE+BYG3Dr5rMe6FCWWtra6U4v/u1\nZdk2/CT+fSroAADhCLetOlrhZ4yqA7wV0XagomO483o/Vt9LlIOqLHDqqbq62vN3Vu9Ast0cZr8Y\nlk7JDQ0NxM+4TUC3bt1KWxzmpHr7C0KYykzSfvbt2yddubYiYsynPRWXB6mwWp4K/YZW+DVMkN0Y\nRUJrqx2JRJK2ellFCAn6HO/v53y/pUuXcs2PBJqQalZY2fCHsS2VlpbKLoJQcBUYFWz40x1eJ8Ve\nuHAh8LM8/X3mz5/PLW2AYD5AYezTguB8T54+Y0HQCj8BKggti5my7C06UkWUZ3ll10U6QLL1LTt+\netjBnTjK7Mt4TmB5OKiq0O+LJoiDpFv94UwGVXHIJMnLa+egtbWVKhADTX0EOQOCpL/dsGEDcfoG\nQRahwjwmkHxHEe+nFX4Cdu7cmfQ3XAHm6Qwk8llWaaoyiAYpB+kWMW38ZhGoZl6minyQENR0QMWw\nd6rUPw+5PHz4MPGqb9D6sNrwq/id/aAts189i3gP2jyC1MGpU6c8/TdUMjPyw/n+bos0ND4NOKjS\nJ/FCm/QoxuXLl23XKsQkFt0IeJieyEDkd1q7dq2wvILi9+1UCs+XbnIme4IepvrG5cqVKyn5Xqxg\ntdsRxlVZVjQ0NIRiQgNgn5i1tLRQp+ckFezfg6Ca/GuFX0FUFF6cyDNu8HbapYnpG6RsOPaXQRwf\n0xFRHaKIHbGgdrks64DXBEO1gSssqG7DX15eLiWKTbqj8pkdfr4JKi3+qI5q76IVfgJU+3ipCIsD\nOkjglT5p2EySMGks7qEtRyrjrL/FixfbrlUa8II6HIfRhl+lPEhkgJfTqB+4dRDE5jtMpMuEhiSe\nPMl4wyJMr8rjCs8FRdXQCj8GYQnHKBOe78ajsygrKws8EOPYX2ZkeDctEgfKoM49Kik9KuP3HnV1\ndVjpsLbLldVfpMp39YKnEmhNu7CwELZt28YlL1yCLBKIcpRMhTExiB8STl8Rj8ehqakpcLm8wD3o\nEQCgoKCAef5hMCk0ZN/o/1NBVrXCz4l0GDRx4VUXNOmWl5f7xoJPB8Li/MeTsE1WSfMrLy+Ho0eP\nCvnWfopEGBVI2jRZHhyYCkoHb6LRKNXzqjhX7927F4qLiwM/7/Ueu3bt4pIuS3DqrrGxkYvPgRWa\nCbtq455W+ClACSSrQy9aW1uhrKyMSVo87JcvXbrENB8ZyI63rrkKr21TkduxrOQCZ/WPNFLG4cOH\nkfejcK5Sk7B+/XrP31XpI0RFFVPdhp8nNHJEw9GjR6meJylzW1tbUtvCSQenr+C1up9qHDt2DPub\niV5wUKW/M9AKPwGsFQwv4XNGBFKNHTt2+N5z/vx5199YNoSgaanWGIPy0UcfyS5CqHE7aZeXfPgN\nOgcOHGCep2phfIOkH4/HYc2aNVg7cyq1bdVW+TTukMoNzeFbfqguNyqt9NOgej2zRCv8iqKKnbYT\n3s5qvJ12WaQnOoayn70/areFJg8eqBqekiW0chGkjoL6d7AuhxWvnUnatM+cOUP1vGi8YrEbqC7X\nIlHRJMsr3aDyrHIcfr93co7rKtrj81DivfxawuLYqxV+SlQUdlXz542fWYNKyC6j7Pyd7N+/n2v6\nQd43jCs/LL4rbRpeO3sqY3xv2u+uStuiKYdhmspKuUkHZs6cKbsIrqTbN1PlfVUbQ7TCzxiSA0v0\nUe5yIa1n43v52V9u3LgxcJlIyuGExpzM71ma0G44GGYsXuVQ/VA7lFzglFnEe9HYrAdtJyzgWTcs\nwtf6hSzMy8vjsmvJe6FJj0F8Ee0HVlVVxS3tsO26iUQ1R3yt8BOAM/iw6lxV2JpPdUQ2tNbWVs/f\nZX+rzz77jFvarOpZ1PfSyg5fUql+nRF4ePtKpFLdAdDtyqpQFzxiuOOmrQrGAherSagoh3qeqFgm\nAK3wM4eFHS6rZ1QROtQKl7NsbtGNVHkHK0HsL5cuXer6G6t3dDqfqlh3LOHdBkgOsgGQG4ef5bdW\nVdEIozwXFhYqW5+8CeP3AhDjP6eyDb+VsH5DWaheX1rhVwDe5hI04CqPtILOO5aubOrr67nnoXpn\nwwqeTng4+fDakeOJ6uHicFG9nlmg0rcRffI5Ch6O6akE62+iWv2G2f9KlXIYaIWfApU6ZhQ0whYW\nO1wA8d8Bx/7S+c40dRCmyBXpSjweD2zDj5M2C0RNlEgJeuI1Ch7xuFE7krjhGMMShz9M/UEqmHwE\nGUNI72flhM4SUWOZWz4q+YHpKD0hRIWoGH7pqtjhuZEuUSF4vJMoc7IgqDTo+LF27VoAIDfpwSEV\nZfn48eNE99M4l/PIIwh+Jwp7Ydj9y5IFkbupIt5x5cqV3PNwg6cNvxO3g7h2797NLA+V+mkek3ca\nUqHv1gq/ApCY9JAIt0qNlyU4B+/wRKb9JasVA9VlQ4XOldSkR4U4/DyIx73jjbNcoReJiLpDxeGf\nO3cu8l5RPhsFBQWBnyXJW1QbPnXqFLO0REU/CtJXzJkzB/l3t/EwFosR54HazfJCRNvnbdKj+ljI\nEq3wCyKMdr+qsnXrVgAgsy+tq6uDdevWKaFIOlHBLlaDD+0uFEtzLzd27tzp+TtvnxxWiCyH13dw\nO0wMRxZ4rgIHedYvYpgVlcwxVZFJzVWcUapkoLIeRRLZUYR8a4VfIDQflPfBRH5s2bIFAPjNnFmc\nX+BHZWVloOeciI6hTLq1SdOBiP6+TlQKz0cqZ6Llwgs/hZ8lfvX/0UcfCSoJP+rq6pB/R7271WSG\nlQ2/Sr4gmg4OHTpENHmyolJfYYWFk7aWs6uQ1EVmZibHknSgFf6Q4FT4RTcqtxUuHHjb5avQwZw7\nd47ofh5RU4w0Ll++7HuvyqsiqpBKJlI88VvRvnTpEpd8AADKy8tdf0OVRQS7du1inmaQ91OhX3Ry\n5MgR2UVgijOcdHNzM7O0VXWyF51uupCdnc09D63wE0Ay+yWNAhH0eZUaGQvbTp4nk7KqK5T95aFD\nhzyfcZbZ7dwBFixcuND3HpFywzsvXgfikeaHkguVJgJBneBU6mOcbNiwwXbttrvldHj0eienUytN\nf8U6Dn+QhQLjHhUmB8aJ2m75qyBr1jKQlufzzz/Hui8scfjDgoggGPF4HJqamriF2NYmPSkOqVMg\nbT48lR6eqwYqDAJ+kK4Gf/rpp0l/o0Ulp8+LFy8Gfraurg5qampcfydResIgOzSosFqnQh37yf66\ndeuo0pf9jrJMemjzdeaZkUGvcsj+Fl5cuXLFdq1yWd1QpcxuegvPxTI//Bb2SP13RKMVfomoJgy8\nOHjwINP0aFb4WXRmMu0vVVJuvb6D0+YZN245AL55lMyBCZW3SLlQKZ60SEh8fawEiVgSBGc5rDb8\nfmUP0rbDJgeyxjxRE2Pc96PpK1RpizTQjGNLlixhWhaeMqnat9IKf0hItY4y1aCtJ9XrORKJUJWR\nxImUVKlj1TZU/wZeiDBZMpAZ9zyVYOm3oyKqlE3kbpXMRTxWvjI0tLS0wNGjR11/ZyETDQ0NtmuR\nIThZmlrLaB9a4ReIKh0gDSxO76uurqaqCxVt+HnCw8FXZUi/ryo7G6rb8FshrTPre5w+fZp1cbCg\nsaWXFcmpsLDQ1W6dZT40iGw/NGaHosopIh9UXxHUx8bACFctEy9TTBUQPaFTrf/XCj8BLGIua+hN\nfILWsaqDZjzufbCRJj1R1ZFRZr5BTXpYPaNxJ1XrM+gKMu2uqBuq1DOqXtzC19IgcveS9/Oy0Qo/\nJ1gLhuqCJjPcmugOUNUYygBi60KFQ1dYUF9fL8y3Q5XBmgTSHSbV+yqRWG34/eqNtRkA7SIEj3TD\nhtPv6/jx40m/ez3rBosxhDQUNGtQ7ydjl0FUfxOkfZIEYNFRehRHhY5PVhmcQstjZg+gRh2jcIb5\nUxHedSe6c+dlDhCLxZIGcpF4RZ2oqalRwjaXZUjH2tpa2uIk4Rc1DKeMLExvvPJyOx8jyGKJSlGU\n3MJ+8rJjXrVqFZGyy7KuSktLbdcyJ7effPJJoOdUkp10RGadaoWfEzgDzvnz57GfV/2kRZKZrBdh\nWB2sqKiAOXPmED3DIqxquiBjBYQk1BuJDT8JqHR5xXz2g6ffiFNpYgFp+US1qcLCQt97vJwcg+CU\no+LiYqbp++UnApKoX7RY3y+sfmA8CMNY7UQVfy8AOSabWuHHgJVgOyOVuJ3KhyMATk91L4II1Nmz\nZ4mfVUUxVaUcuDQ1NUmNLazpgJcJBA0snVGt99I4wKoML5tp3HRV6HucZeCtXIpSXGTUrQrfU1VI\n6sboU1TySzIQ7dsns3/VCj8GQYQT9VGrqqpYFAcAAD777DNmaaHYv3+/5+8q2s057923bx+XMrG2\n4ee1PS0jPVpIHJhVKXt1dTUA4MsFj7bDMnKOs15Xrlyp/CRA1fJZbfhVhldb4hXUQtUdHSte7+rs\nK0gmlSzLIQreiymigqeEbWxyohV+Slh9WFUFxA3niYKk0Owc4Da6zZs3U+UrCpadE+77Xb58Gdrb\n21hECQYAACAASURBVJnlm044/VVaWlpc7+UVFcL59/z8fKp8vGhsbFSy3VjRUXquorr5p+qwclhG\nKfFhqNeg4UFlLUaptPioOlrhx4BEoKyrzSRmGmHrGGRG5TGQtXIhO946rl23nwwdO3aMKF9jJZsl\nOPV25swZ5vnSsGfPHmTd8jCdkCHjvMIJ8iYej8PJkyfNf1uR1Vfg2PAbyFo8UuFbq1AGAHHlcPYV\nKqzC8yTV388N1d5bK/wU+HUOLFdQVRMcJ6w6yiCTq3SD5L3r6+uZOUkGdZTzK69b9BKD5cuXE6UX\nBF7tS0W/gCCo0P/4+R2cO3cOtm/fjp0WC2fZdDwBnaU/Q9D3oH1/3Oe3bdvm+ZzX949EInD48GGm\n5QHo0CtodAuV+hUcwlZeK6qVXSv8BOB07kFOolVNKLzgbRtXXl7OJX2WBLHhFxWlx3nv7t27XUOI\nkjgU8VRsnBMJFZTLIKDkwjkwh6mtW1G93EHKxzo6DgoZNvxu7cdvYo2DSnIgoix+fmB+ZXALXUzr\nBxaGcTIoKkXSobmXFBHvrRV+xrh9NFZRMbzshUnLFHZEKoaqmJWkYiSMsONVZyQmHazzttLW1ibM\nMVMWqkwUaVfAWdqQWzEmn6rUkyhUi5TiRhgj4oUd2nrcvXs30/R4oxV+xhinj9J+eLfDaVLF0ZLl\ntrBbeFOWlJWVmf/GsdVWveEDhNPWlxSRZeYRh58Er3d1ru563dva2kpVDhmoqMABhMOGnycqROlB\n+cd5TbaChJskhXYMEfWNafOZOXMmo5K4g/oGourHz4QQRz5Etlet8GNA8kEMhZ82/S+++MJ2TXPK\nqAh4rqL4vQfJiYMqDYZuWCcXvFHFudFA1io0T7lQQeZIy0Czo0UiQ6wOFovH8cO58kaF700KjzLj\npEkT2AIXnk7oMnzXUMg8KZwXRt2iou2FBRUmbVa0wo/BxYsXueehyiAhohy0ecg4idUK6zj8Tpyr\nBjTvpYoSRIKIMq9cuZJ5mjzkgpUvEGmdilrlP3jwINf0WZz2TdP+VLLh592ugtTTggULuOeFutfN\nNJbnDno8HjfzRcXhp6GmpobqeSuqLX7QhgBnhWrKexC0wh9yWA7ypOmLgGX+st8FF1kOvqxgna6I\ng6pIVwFRZgIavgSpY95mMqxl88SJE9Rp+PkGsDYzIEnXgLTenIo4bb277SwcPHgQYrEYVdoiULG/\nUWHsYYko34+GhgbmabqhFX4CZNqK+YETgcGvrM5OUJV3Uw3eR9Vr6PHrmHl03DhyUVlZyTxfA5YD\nrqptH7dcogZRv4kfqdM2C9OMMPRPpPK1bNky5mm6IULh9/tGYW2fpLB4D5V3sXHK9vnnnwsoSQda\n4aeA1MGHpaOqldbWVmSYLtJ0SkpKfO9RuXEZpEpn6Aar471VOaHQWQ5nKDw3E4swbrE2NzcrWzYr\nYSijFaeMrFq1yvZ3lAyxkB/aRSCnD4Nfm8RJ2+0UbRVNenCfZWmyoio0zsJ+5wFo3OF50r1q/ahW\n+DHwEohNmzZxyZNEUFitSJA4UOEg29aeF6xttVWqj40bN7r+JqqcLFfBg5Y5iN0ob98OntDs7qlg\n80u6+MKrHE68bPjj8asnA/NAdL/C65waALzv6zXeWJ+VtXpuTTfMfQVLRE9GeE5KafIR1Va1wo+B\n18dgGWXCi+rqauI0SRsTbTQDVZQEN0jr4/z581Lyplnlo63XMIR9dUawQhFE9q2ItKukgVU7WrFi\nBZN0SOE94B87doxr+gBs/QREKEA0NvwkEyvRfXzQhS/nzjZvvzgekIwZKi0wqVQW0cjYDdAKf0jw\nWn1nsQ2cCpSUlDBVWN0iiLC2keX5/WQMULxXW52Ojai8ZHSmbnLBI+/z588T78h5lYPl5FYGKili\n1nrmdfBaugQzEPFdScyFWNUVrQ1/WOHxXiLbPu1Ckmw6yS6ARm2CNlBWW1ok6Rw/ftx3x0XFjtSv\nTAsXLsS+l3XeKiDCiY7noVc80jxw4AB069YNbrvtNu55sYTXAIgqv4jQoirKjUqo+H7OkJx+iwNe\n3zhdJl5uqFJmmgUeFUwBtUmPQlgbvHVVjeVWLo2TmBcHDx40I/i0t7fD/PnzicuHA88QVm51w9v8\nxC1fHPtLlqvyPBXeQ4cOYd2n2kqFFaNs+/btMx1+I5EIscJHO7kVYZdr7X9UiU/thGd4RhIMx12Z\nkMbhV7mdsURk6Etnu54zZw7R/VZYfR/RZ7mQIEL5DGKWmi5tgyd6hZ+Q5uZm5mnSHK7jZ/dZUFBg\ndi6tra1w4cIF87dz587BuXPnPNNXmVOnTiX9Ta+4eNtqOs2URB2wxIOzZ8/CwoULzVXuzZs329rC\n+++/DxMmTJBUOjSkMuVs20uWLGGStt+KmChfHidBT5lG9YHWUMVO/yRZjpui8iRVWnl8b680eYyj\nQQljP+/E+U13794tqSRojDquq6sjfsbtOgywiqjHCr3Cj4HxMWicWlk5WvoJ0I4dO2Dx4sW2dK3l\nt1JcXOwZZcjtNEIWyNjq4ml/qbIdoZWCgoJA6ajY2aIca53lbGxsBIAOWea9Ik7r21FbW+t7j/Od\nVfwuNASNesZyh5G0P3ZOJGhs+K1lbm9vt6WVCqEpZazS4jj5B4VEVhobG+HIkSMAQN9XBIlyJJNY\nLAatra0QjUaZp61X/vHRCj8GrBQFEUruqVOnsBQHgOSG0traassb5bTKI9Qm7aonq3LwTEtWp8Qz\nxjCre3Gfi8fjMHPmTPOaJMTf6tWr4YMPPjCvnSYFbrH+g5Qz6L2lpaXYaZKWwcn8+fNtq6xhkHWZ\nSouMvN977z0oLi42r5csWRLqHTmZsFpwo0FVEzwvVBpPefQrpP24XxmcO5QkCxEi5FCb9BCi4mzS\nzR7SKCuu8lJeXg5dunRhWzjGiNyKp7Hhp0GkjMle+aENBQvA5h0qKyvh+uuvp0pDdGxtWsd4VnbU\nsmUIAN1mVOir8/Ly4MCBA66/W+uuubk5ycTyzJkzyPvLy8th27Zt0KtXL990DVjt6Knwvf1w1qMX\nfpP9S5cuMSmTFdZ9hQqyDuDdn6tSRp7ye/ToUd88UL9pk540I6i9WmNjI8yePTtQnkZ4Q2te1vB8\nvFbtVV2pC/uWeVtbm+f7OZWHdIDX6joNuGWqqqoiTpdkFVGVAZiEIPbipGkFTY/22Y0bNyZ9czcZ\noOmrwrqgQJKW87RuGlTyN3BDhUmYin4xstE2/BqmeA3wTht+5995I6OB0xwx7uUQaQXH/pJVpAcS\nUxO/lajly5dj50sDy+9+9uxZZmk52blzJ9P0aOXCSZDDv0hWI9NxAA4CjSJDYsOP8z3c/LFOnDgR\nuJ/3ug8VGIHkeVUQYY5IAqqv8Mo3Pz+fWd6ivlfQKHpNTU3czgVRQQ6MXRBr+kF9l0jRCj9HVFN4\ncaBxEuP1vs50vTqSMAw+fvh9w4sXLwrJRwU+/fRTque95IG1ws+DMHwjnuC2Z5rTY2WCo1DjsHr1\nati4cWOgZ1muhluhqW/SE+xltWVei2nOdA4fPux5v5/844ZfRuWNS0tLi+3ZZcuW2X5vamrCTqum\npoZp22cFC2fp0tJSePfdd22TGrdDPlmjFX4CwrAVai1jkPJa8z106BD3WPeofL3+rsKgLdJW2xkp\nqaamRtg3ccLDEZcFx44d45o+DvF4XLgNPy20fYUMWJr0iMArDn9bWxtUVlYSpef1nlYlmcSGH6Vc\n8VzdROHMb9GiRUTp+in8KsiH9d1Z9xV+78f6dHgUzsmrdcEwEonAggULuJchCCKCqaCQYSqmFX5C\nVLBrX7lyJbN8Se/F7bB5drBhUU7coPkeqkTpUGEAxUHUrlNY88CFl707aVtmFSqY1uE5aDo8YbUi\n6hWNhLfi6PQz4n14o4YOr4M8rd+Od/3L/r5+jsq7du1K2mWRUWat8IeMSCSCvQ3MYpASoTCxzoP3\nii/vQY/GD4G0XlVTiEUqj6zyNp5zkwsWu3V+efvR0NBgO3SPNF0VJtk0fjGsD5vChTQOPy68v4db\n3RiBHnjlycrESXU/NVIbfj9oxgxWkOTT3t5OZGYUdnbs2AFFRUW2v6Wdwl9XVwezZs2Cxx57DAYO\nHAg9evSArKwsmDhxIvzjH/9AVsjFixfhjTfegJEjR0L//v2hd+/ecNddd8Ezzzzj2RnNnj0bxowZ\nA71794asrCyYMmUKfPbZZzxfzwarFSXeqLZySbpz0NTU5Oq42NbWhp0vT0hjvgdNVxY070MSTo81\npOYVvGHdFo1DyIIgewXND9aTW159lKht/IqKCtdyHD9+nEueGRni1AnSiGMqLHLxRFSZvUynSMaf\nyspKWLduHYsiYcFbNnEsH1QwT5aq8C9cuBCeeuopKCoqgnHjxsFzzz0H3/72t6G0tBSefPJJ+N73\nvme7v6mpCcaPHw8vvvgiNDc3ww9+8AP46U9/Ctdddx28/fbbMGzYMNi/f39SPi+88AI88cQTcPbs\nWXjqqafghz/8Iezduxf+5V/+Bd555x1u7ye743CLw0+yPW+9th5Vz5qgdeV0LPbqdFgp/CJttcN+\nGi4prJVukjqxHvsepC5x5MIZnYElfumGUT7WrFnDLK3169czSwsXpw3/hx9+SJUe7jfcunUr9o4O\nrSJi3N+3b1+qdHDzARBjk84Tv76CZ1ulieRF4hyt0s5Ct27duOYV5HvJmABIPXgrJycHli9fDo88\n8ojt76+99hqMGTMGFi9eDEuWLIFvfetbANAxQSgtLYVp06YlDQQvv/wy/O53v4M//vGP8N5775l/\n37JlC7z55pswcOBAKCoqgj59+gAAwC9/+UsYOXIkvPDCC/D1r38dbr31Vqwy0wixiA9qLZ9bNJeg\nqx1z586FW265JXjhOOBcJSAxefEjbAoSi0OsWCGjHNb3P3nyJPHzrA6i4oUz6gUpqsgGCbgO6jj9\ncphNCGSa53nlERaZCks5ReAX8ccKSWQdEoz2KqpNZmdn23Y4jRV/XnLR3t4O9fX1Qv0YcJC6wj9l\nypQkZR8A4Prrr4ef/OQnAGBflTG2+1HPfOMb3wCA5BXfGTNmAADAb37zG1PZBwC49dZb4ec//zm0\ntLTA+++/j11mXrbnznR5CIcKAmcg01bbwM/EQZTjGs+VEBq7Z1HwsHEXqbwb7ZW1DT+A/R2rqqqU\n+WaqsW/fPmaTedp+0vo8axt+I23RctC9e/ekMjj/jYOoctN8QxGLQs6+ArV7Lmq8dir11msSf7gg\n5XVzwmfZBg2MVX5nG8L1dSQpU1lZGSxatIirr2IQlHXa7dSpk+3/AAD3338/RCIRWLlyZVLlrVix\nAgAApk2bZvv7unXrIBKJwEMPPZSUx8MPPwwAAAUFBUzL7qRLly5Uz9MeuiGi86NpHKI6Zyd+W/yq\nDxos0nU6EqUasr7DjTfeyCwtL1SQM1UgOWWYBBJTKdF17GWewbMsxrjMyoxs+/btXP3cVJB9lpMd\nlmnNmTPHdr127VpmaRv41f/x48fhwIED5jXN4ZRByc7OZpIOwNVoeqrtGks16XGjra3NtHW0Kuoj\nRoyAd999F1544QXIzc2FqVOnQpcuXWDnzp2wefNmePrpp+HnP/+5ef/ly5ehsrISevfuDddff31S\nPgMHDgQAsAmaCHr06EF0v9vx6ihQwn/06FEAANiwYQNRvqpA4vgiYgUpbPHWWaDCgKk6suWC144j\n67TDAKv3z8vLYzq+GIEpUOVhVeZ4PA7Z2dm23XK3tKz9bZCToQ1qa2sDPxtGZPcVqrF+/Xopcel5\nYbQLXicGB0VJhf9Xv/oV7Nu3Dx555BF44IEHbL89+OCD8N3vfhdmzZoFZWVl5t+nTp0K3//+923e\n2EZlW015rBh/x+2oSJTJnj17uv7WuXPnpL+JHFBF5eW0m+vcuTNxHPlUUTR4hU0jccCixe1b+O1g\n+X1DY3cOQK6ZkbWcy5Ytg3vvvZdJWjh/FwGvyTGvd2JxqqVsvJwcg5TXiLBDGoCAdKXRLaqJ16SC\nJKRmkNPCVdxxpSlTdXU1s7TCjqywubxRbYVfOZOet956C958800YPHhw0lbT0aNHYdSoUTBv3jyY\nMWMGVFVVwYULF2DlypVw/PhxmDRpErVjG0tkmarQwDLfrKwsbmnLJIgNP693d8q7jDr+0pe+xKwM\nYVaIRUQOISmTyMmgBg3LKENWjhw5QnT/rFmzPH8Pg89YaWkp0/RkUlFRAZs3bxaSF83EXtYCDOt8\ncWSRVSSfoKR8lB4nf/nLX+DZZ5+Fu+++G/Lz85MUxldeeQWqq6vhrbfegh//+Mfm3x966CH4+OOP\n4Z577oFnnnnGdOA1VvDdtlWMvzvzsfL444+b241Lly6Fvn37muHO6uvrobq62tyeKywshIqKCvN6\nw4YNUFFRAbm5uQAAUF5eDu3t7TBmzBgAuKogGJFvnAqDcT1ixAjzulevXqZ9cEVFhW11taKiAs6d\nOwfXXnut7XmjPMb1hAkTXH+vqamB/v37m9fWRlBRUQENDQ1mfc2cOdP2vlu3bjWv4/E47Ny5E44d\nO2b+brz/gAEDAADg4MGDthkw6v179eoFX//6181rq919RUUF9OjRA26++Wbz2votKyoqbE5zqOet\nK1nO+igpKYEjR46Y19u3b7eV0a1+Sa8nT55su7Z+b+f3dH7vbt26mRGmysvLbWZbW7ZsgcrKStPh\nzpn/tm3bbN/PKb/O6x07dtiujfSM/I3r++67z7y27mahvq/VR6eiogJaW1vNZ5zl3bVrF1RWVprX\nO3fuhIMHD9rKE4vFbNdXrlwx66yiogLa2trMPFHf2yqvbu9ryPeRI0egtbXV3IV0Rgayvm/nzp2h\ntLQUunbtaoZqRMmn9bqoqAh69+5t+z0jIwO+8pWvmPVhjUe+fv16KC8vhzvuuAMAAP7whz/A5cuX\nzfIXFRXZ3mfv3r1QU1NDLb/W7w1gl1/n/V27drW9Tzx+9VRX5/3FxcW28q5fv95TPq39D0CHI6/1\n/Z3pl5aWIn83dnbc+mPrtfN9+vbtC9dcc415feHCBejXrx8yf6M/sX6P+vr6wN+jtLQUzp8/7yq/\nZWVl0NTUlPT8ddddh/2+3bt3h6997WvmdWFhoe37WeV3+/bt5rsDdEx+ysvLzTHFr78xrg1537Rp\nE5w8edK1/3K2T69r6/3O8XfKlCmu9e0cH41vbb02FkBKS0vhwoULruXdt2+f7Xsb+oK1fzt8+DB1\n+xw/frzt2qt9OtujV/ssKSmBo0ePurbX8vLypP7YeD4SifiWf+PGjbb0nP2Xcb9h9o2SV6t1x/79\n+yEzMxNuv/12s3yFhYVw2223QadOnaCsrAx69epl3r99+3Zb/7px40bbzpSX/KLeb//+/XDw4EHT\nKXr58uU2efr000+BN8oo/NOnT4fnn38ecnNzIT8/36wEK8XFxRCJRMwGaWXo0KGQlZUFJ06cgPr6\neujbty/07NkTBgwYAGfOnIGqqiq44YYbbM8cPHgQAADuvPNO13J98MEHMHPmTAAAyM3NhdzcXPjo\no48AAOBf//VfzX8DJNtrTpo0yXYYWE5Oji3MnCEIhpLqtOszro0Gl5OTA1lZWaYJUk5ODowZMwY2\nbdpkXt9www2mzb9bel7XX/rSl0whz8nJgbFjx5pKck5ODtx6663mtrKhuAN0zE7HjRtnM48aMWKE\nbUAcNGgQtLW1mTPZQYMGIevDej127Fjb9aRJk0wn5pycHOjdu7fZCHNycmDcuHGwatUq89r6TYzn\njZ2jnJwcGD16NGzfvh2Z/4gRI2wK65gxY2wmSiT1G4lEmHwP5/fu2bOnGeFh0KBBMGnSJPjnP/8J\nAB2K2OHDh6G8vByZ/rhx42yrwE75dV6PGTPG5hjpVf54PA45OTm274+6f8yYMbBlyxbzOjc3F/bu\n3Yu8f9iwYTYFeOTIkbYJG0qenOkNHToU9uzZg0zfKa+jR4/2lM9BgwbZ6sMZMAD1/Y3JvvG7Uz6t\n16NGjYJ+/frZ5DkjI8OcJN9zzz227zN58mSorKw0yzRo0CDb9x09erTNFCQ3N9d27kEQ+SS9HjNm\nDGzcuNG8HjlypGn24rx/1KhRtlUvZ3/qlM97773X1v/cfffdtsUeZ/p+v+NcW6PXGP3Pvn37zOsb\nb7wRTp8+jXx+zJgxtugsubm5cPbs2cDlGTJkiM3uftSoUTYTyrvuussmD0He16oQGfL6xRdf2K6N\nbzJ27FgYMGCA2R9NnjwZunfvbp6V4/x+kydPtoVpzMvLg0OHDpnyPmzYMJv/29ixY2123zj9Een7\nOq+d/fG4cePg888/N6/79etnLhAOGTLE5pswbtw421h13XXX2cx6Jk2aZEbFicfjMHLkSNuCiIj2\n6WyPXu1zxIgRtgWoUaNG2X7HGd8NrBNRg4kTJ9oWUUaPHm1bIPR7n2HDhtl0lMGDB8PYsWNt+kde\nXp5Z58OGDUuS35ycHPN6woQJUF9fbzo1O+U3IyPDVgZneQYPHmwL/z5q1CgoLi42r4cOHQorV64E\nnihh0vP666/D888/D8OHD4eCggKksg/QYSscj8eTbN8AOsI7GY3JKoRTp06FeDwOq1evTnrGGEjv\nv/9+rHIGjXPutz2FspfkeSosr5B0YTXl4IEsp0ee+ahol+4HzXfA3VZmFamEBTpsJx/cvmGfPn2E\nhL5VqY3Jio6jUh0EQaV+ggU8y8ujH7Om6UyfxRk2xsKaykhX+H//+9/Dr3/9axg1ahTk5+d7hkYy\nVtBee+21pBBsL7/8MrS3t8Po0aNtDrNGPP9XX33Vtvpz7NgxeOedd6Bbt27wxBNPBCp70AbsF2Gh\nrq4O+1TbsHUSBqrFpyVBhK12uhC2b+8FrlykwuRPRUgWMvzudfvduqIPkHy6LADYVp2N3aRUgaey\nz9PnRGboYxQVFRWhmJzLmrBWV1djH7rnBu9JQxiRatIze/ZseOmllyAzMxMmTJgA06dPT7rn9ttv\nhx/96EcAAPDiiy/C0qVLIT8/HwYNGgRf/epXoXv37rB582YoKiqCHj16wJ///Gfb8+PGjYPnn38e\n3nzzTRg6dCh8+9vfhitXrsCCBQugoaEB3n77bemnxzobA0l4Kt4CiDuIilxZVlFh8vsOvL6TjA4o\nIyMj8DfIzMxkVo4g707yjGyFmWdccpbIriccnN+9paWFS8i8pqYmm1lOGMEJ+ckDv2h5pJO2VCZs\njrioFXUvdu/eTZR+EB3B7+CtVESqwm/YTsViMaSyD9BhJ2Uo/P369YOioiJ4/fXXYdmyZTB79mzT\nCfSJJ56AF198EWmP/8c//hFyc3PhnXfegXfffRcyMzNhxIgR8Mtf/tJ0QKIFJ7Y+rmCFZRbJsqH0\n799fuZi1Toz3ddrmqYrfScK88Foh7dOnD8ybN49LvjgrQkGVBD/ZdNoIqxCqkmbCKmuS7QXLMrBc\nTbaWyymDQ4cOJQpXqQq4dU36TbzkF5WW9X4VZNBJ0DIZjp1u0K5ue0FigibTJI00hDcNMqICyUCq\nwv/SSy/BSy+9RPRMnz594LXXXoPXXnuN6Lkf/ehH5sSBB86tXicqCYAIG0xSxcrqLOnFmTNniAcN\nkt9FIKoMBQUFMGjQICZpsSpz165doa6ujklarOvRS64WLFgAXbp0QZ7mKsumWRYs7F2DQGNKRxty\nFRdeE7Ig9R02uWRZBprvK8Inw49oNArDhg0TkpcXMuXCes5SUKzlD8tCKk+k2/CnKmHZjifFrdEY\nIQqt4K4SkkwOVq9eTVVXpPGrUdDa8PPajuWtiPFwWFcJkski6l43uQhL21YdI5wdC/zkktUOh6o2\n/EYkIQB1JwZVVVWeK92qlhunDDL9wHj1yaqZFKbLqj0JWuEPGSyEzgiDyDp91Oonj3xoCHLCI2tS\noeMICyy3hZ0nZJMMKEEGn6KiIqL74/E41e6XJn1AHWLldrquH6zkypmOCocKikQFM0BR+cj+ljj2\n+7zLKMNsUiv8CuK3iqsJDotGxduGn7ci6fasCidZspZv50oazfe3HrKDAlcuZA92BjzM9WQiolyo\nPKyx753yO3ToUKK0WNyLkwZplCLjOkxKXVBEfBc/G/5UQKXvzyoAR9i/mVb4OUIiZF6r46o7LqHg\ntepDej/P8wxEQPr+W7duDZyXX5SMoIRFZlkSxHwNhXOA8TJx2Lx5M1HaJKTjNzTwe/fPPvuMexlY\nmCKywKn4s5SLdJMxUrMy1QlDeXHKeNttt2H5FFoPVQsLWuH3wdqZ087uvIRt0aJFVGnzgudqh4jZ\n8oYNG2zXLDollePwHz16NPCzYV+9kEk8HhcuF05ZFqUU+kX0ISEMSoIXfuVnZcNvnO7qBc/ILk6C\nRvFh2cdoG/70Yvv27Z6/d+/eHUu+ULtXQZ5bvHix7zNWWlpaiO7ngdQoPWHAOBadBpKZfFA7Slbw\nHLxl2MvJDE0pApYDKKsVJ6dJgDUqjwoDL2v0OwVH1iTTme/JkyfNf8vug4NSX1+PfS9tP+/13fr3\n7w+xWCxQujJQIWKTqsi0cSdFRH3T5CFyQu5GOHu2FCZsg421vLw6AJp0eaxGBrHh95rd8+w4vQ5x\nEzUgHT58mEu6vM9tIP0uXnKRyqc+8gqBKDItqyncDTfcwCTtzMxMTxt+VeDR/8gK3WogyiEyqEKM\n6it4Lbap0E/Q1r91Qm7AM9qQCnXGg3BplyFDRod34cIFpukFfQerI5tfmjzrKVUbLi4kqwphc8iT\nadd88OBB7HtVqKtUhGZHkSZtr0hfYTEzSQWZVHGByYqs3WUaREUKIs1n1apVnmmKkmdc3ywWZwjw\nQCv8PuAqQSwHHxrhlemkaq0rP0c2VUwGgqzQsLa/DNukRJYdLgtYRSJqaGhIqgcedrk8ZUOWYz0r\naBzUnZAoD2vWrMFKMx6P22z4+/fv73s/S3h8F56mQCwRaerohvPcCD8b/rlz5wbKhyWiYvSzbb+U\njQAAIABJREFUOH0aZTZmzce5yyTzDBscROSvFX4JsHRulS2kVliWpUuXLtC/f3+l3o8XrEyWeA+m\nQSPPhG1Cg0M6yKVqOOXIz6SLRu4uXbrEPF2/sK4y8QvZqWJABi9SoX2mwju4geOELhve9S/j+2qF\nPyA9evSgDhnJA9o8WCpvNLsanTt3hi5dukBlZSV2GkEIMjDh2PCncmfth9NpNxVBKUhWuUj195cB\nqSkgyTdw9gNLliwx/93a2uoZa98LVnH4eVJTU5NkfhI0Co/zb17psDwUTxbO9/OaKFrhfZaLF27y\nO2TIENtvvXv3FlUkKmj0MNSzx44dMy0lVGmjrNAKf4qRSsdJRyIROHDgAFF8eJ6TsFRr/Bo7PG3C\neaDigkNYIKkLXCVONXbs2GG77tu3r+u9ly9fDpxPULlasWIFk3RwENXPe/lMqdL+gjoa9+vXj0dx\npBCJRDx1JUPhP3HihPm3MEUsckMr/JIoLy9H/p1WYfc6wIsFLCJy0K7U8XLGw0WlGMo8t85xbZVR\nrF+/nmFJwoGbXDhXlFgNDqjIT15RmcIOT1l3S/uGG24wfxs4cCBxuqzi8AfBKWc9e/a0XXfp0iVQ\nmjSr/1acASYKCgqIy6IauDKq0hhiINsMixZr30ciG1VVVa79pooyRoNW+DniJSxeDmdez/Xp08d2\nLXqAZ9Up4DQkFnmhwnmxzkNlaN7v2LFj5r+DdnxhdvD1gqVN84033mj+W4XDWQDUqms3nI5/PJyQ\nU71/MGD9vYMcZMT6fhGositBgvFt7r77bl9Hci86d+7MqkjUHDp0KMmJ1ymDbjK5f/9+13TDEn0H\nF63wc4KXI6NzlWbnzp2B0nGDV8hMr1B2fqjWqcq0v+SJigNqWIjH44Ft+Lt3727+u6SkhGm5gsLy\n/ApZBOljMzMzse/FiaVOEodfZh377UIFddhXBVaBEVih4hhC+p6dOqlzbivpwmeQg+EA2EQXkolW\n+AmpqqqSXYRQsnbt2sDPhmFQEbUSqIpSkI75W7GWhSTUp0jzNRpUquugBHmH22+/Pelvbm2bts2L\nrmOR+Yk4aE5FGZW1I+RVFyzKdNddd1GnIZLz58+7+t5UVlYSn3rbvXt37gc9ikAr/IQYdoa0jQg3\n1Ga3bt2o8uENqT1nz5494ctf/jIA+Mel5lkegyDfEWV/qeLgw5ucnBy44447bH8bNGhQ0n2snJ1U\nNa84d+4cAIi3y+UZlpIXqrcT2ljdzt9l2vCTwPK7uPlqsUqXN7zysaYr04bfKAdK1lVvn7js27fP\ndl1ZWWnuAgRxwu/Zs6en6U9Y0Ap/QHh0kG6oNHDTRDuIx+Nw6623mtvmXbt2ha5du7qma7y3aiY9\nKFg4M9OC2ta0RhmgxfAfQb1rW1sbZGRk+JpEyHa4lpV+0AP8vMpEu+KUKoM7LTSLKtY6DOIEKxKv\nk1/jcf6HYtHuXll9ijTscZ7p4rxWtb9obW3FKltbWxvR4tPGjRvNf6ukg9GgFX4faA42cptJq9pw\neHDTTTcBgHvsW1Sd7t69m3/BMHD7Tqkah99Pvk+dOmV+T+sz8Xgc3n//fYjFYtQDg0r1RjoRV9Eu\n14ugZ2qoYnbkJEg5rrvuOpstMs3AfsMNNyT9TaU4/F72x6mi0LghYtWeBNZ9hSptUAbO6E7GjqtI\ngtT/rl27OJTEG63wE+BUVGU0MtGrnLT5OZ2MI5EIHDlyxLaiZORhmIMcPHiQKk/Vodkl4Yk1L6di\nD9ARocB5XDzqWQPSg1tUXyEN+i1I2pSs7+33m5+pS1ixOkz7Ybyn8/+pAKlppt+7W/t2Yxc3aJ6y\n4RWZTrT8dOnSxbabFWb5dZ4xYcUa6ay2tlZEcQLhdBwW0R483ayfeOIJaqF49NFH4Rvf+AZVGmGn\nc+fOgQXPKQR1dXUsiiQc63ucOXMGbr31Vs97URMC2RjlqKiooFqhCUNHa1W+USuXtbW1UFFRYfpj\noMjMzDQPMMHBTTEIC7RyIRM/mQy7r4WISTZqEWjPnj2QnZ3NNV/V4SUPolbtg5bfa1GwoqLCFo4X\npxx+eQXBb7fd6zeZC1e4q+Oo6IBuZamsrMS+N6x4KvyzZ8+mzuC2225LC4XfTTD69OkDnTt3xnYU\n8ds5qK6uDlQ+Wbh1IsY7Njc3w4cffihMUQq74xdLcMtoVcSNZ4yD43BjHbMgHW14wyBHTsJQZreV\n6lQ9N4KE+fPnJ+3wub2L299Vm/TRRLFRZUfOiyBl5HFWggp4lbmxsdE04XO+v1eoTr+TeZ1Owqri\nG0j1mWeegWeffTbQh3dG8EgH+vXrB9dcc43r71lZWUSrnqJxfudt27YRPd+rVy/PyY3XBCAjIwNZ\nBpaw2OKjnZyErRNFTUJxB3TVBn4vaEPuTps2DU6ePAmxWAzi8TgMHjw4qa2rFLs6neCxSouT5tCh\nQ03beVV9H5ywOvxN1fdzIqOcqo8hfrLttzvhxMthnDVeZd+xYwfcd999wsqiGr6jT9++fT3NL9IJ\nVASS/v37Q01Nje1vXo6+1113HXLryIuwKE3xeBz69++PtZshazCQ4dDDkjAMokEVG9ly3tDQEPjZ\neDxu2oN/+OGH0KdPH9OkyXj/AQMGQM+ePaG1tdV8bs6cOcSDJ00ZRaBiLHIWpOqKKAmGuWXQZ1mX\nRSOHvn37Et2vYgz7K1euJOluqY6n0+4f/vAHeOCBBwInTvu8aliPko5EInD69GmoqamB2267DXl/\nGDuky5cvE93PsvN32uxbB1in8y+r8gQpP+sYyrLkxC3fW265hXgL38BLKQrb4S2kGHalV65cSfot\nEokgV/ebmpqEmQzInlCFAVZ11KtXLwBQOw4/Sk55cubMGWF5yepTvRb7rGXCGUNEvwPtblZYsL7j\nhQsXJJZEPJ4K/wsvvADjxo0LnDjt86pjXalDceLECawT3VTa6mW1nWtAE9bUStgdOlkhu+OlsXkO\ncnCRygT5Fsb7XXfddayLg513WGBpX0+iyLCYgN1yyy3EZRL5fUhNLFgs7OTn5wdKgwXxeNx2KOAd\nd9yBPCTQuJck3bCAak+sym+Y42rUxvcrHTp0iDjR5557LlBhwkRmZqbvYLFt27YkL3HnM26dTqpj\njcLjhmzl1onxbWXGUBYxwIh0xFUZnLq2nhZ9zz332J71qscePXowKCEdMpQVGiVX1mTRKxSlX55e\ncfhVw/p+JGE6Ud/UL1gDAGAthrHEufhkmOCR9G+sbNFxxpCysjImeVnhFV7Xav0QJkj6FN79pYj+\n2Ffh/+pXvwpnz57FTvDXv/41vPXWW1SFCgvOeMzFxcXEYTP9GpnoTtEP2gE6VeN5OwnTyg9Lgh5O\nBwBKO7PjgHr3s2fP2nYCUache6GKuRfJqjevMpeWlgZ+loeTOW2owrDLux+8J2jO553hgzt16mSa\nEeLIqHXy7gZN7HTVxgQaWdeLQuHEV+E/evQoPPzww8h4pk5+97vfweuvvw4333wzk8KpBE50DeOE\nWJa2cG1tbb6mQyojOpa+iHxY2/DLgqaucA4fIh0UGhsbzXCfqoOquy+++MJ2HYlE4MKFC+bfm5ub\nYf369cj0RDnu8iDMgz3LsqPS8rLhLyoqsl2rfEgQKTJkApUnbv/UuXNnV0dUkn4S971FjSFf+cpX\nhOQDIHdCI9phn4d8izhjyVfh/+///m/YtWsXPProo56K5xtvvAEvv/wyfOlLX5Jqq8eLAQMG2ISK\nJlQhKSqt8h8/fjzpb9YwpDQHgOA+69W4S0pKAuWvKiqsCtGuepKg0qonaWQJt3dvb2+HSCRirg76\n7XyhooFp/HHWq9Uhz2uF19mvsyqDCm2XB6n6XgY076da3ZDsQpH426k8yWf5Ddx2FXn4FNKGhcbB\nV+F/5ZVX4Mc//jEUFBTAD3/4Q+Q977zzDrz44otw7bXXQn5+vufpm2HFb6UgqJDRbguLBnU4BY6D\nGgB5J2HdHcB9tr6+nigPEkhs+FX+hn6wVHq8MGxoVeXAgQNE9w8fPhz7Xi97aSO8Leo3EkgjboWd\nwsJC199YKCgkq3zGb1YbfpX7BBKbfVUgLYsIJRU3D5l+YAakSj1NhLawQmLOHgawXKv/+te/wje/\n+U1YtGgR/OIXv7D99t5778HTTz8Nffv2hWg0mrZOqAB4Zg4A3g1HdSWIliBKvIYPrCapQdMZOHBg\noOdkEY/HYciQIdj3e4WZTSVUUgJxwA3xm06cOXNGqd01EYhuj6IsAtygOUfCb2GyZ8+eoesHaAjr\nu2Ip/JmZmTBv3jyYMGECvPPOO/Dqq68CAMDcuXPhP/7jP6B3797w+eefhyoigUhItspSbTASaQ7C\nG6ORy4zDr9qgkUrflxanDb8BSuEPW114yWjY3sUrQhJqt5amfRo2/LfffjtBCcVz+vRp19+Ki4uJ\n60A1mSB1IHY7bJTVYocoG36WPlZe6LCc4QD7nPdu3brBsmXLYOLEifDb3/4Wjh8/Du+//z50794d\nPvvsMxg1ahTPckqHtgNTrQPkAU38atKIPqwI60ydN0HtmtNBzq2wsntNt3pTBd6ybTzTu3fvUB3y\nY23/Vkd6muhNAHx3sGn7ctZtUNU2HST8qlca6QDLMwtkQjQty8rKgtWrV8NNN90Es2bNgs6dO8On\nn34K48eP51W+lCeVGw7pSo/VJErlxsXb/vLSpUtM0yeFlUz6RWgKo+x7ldlqw2+VfVWdAPv06cMl\nXZXbLktw5NfY9Q6jrNPg9r4sHdKdUY46d+4Md9xxB9azuGcF8IL1GOJG0B0rFqv/IvuBhoYG7HvT\npX9C4bvC/8orryR97PHjx8P8+fNhzJgxsGnTJti0aVPSc7/97W/ZlVJxWHbm1dXVtqg3YSKMDUmF\nw4dEPeuWVu/evX3D7uLaoTsHmP/P3pcGV3Vd6a4rgZAYZSZhRiHAlxnEKGYxyDOeMro77SEJNnb6\n1XPxkqqk88NdnUpe0tXtR6aqjpNKPISXxO64O/HrpCtmEBgPYBsIZpKNGWwmm0EMQggJdN8PeR/O\n2XefPa69zz7iflUuc3TP2fOw9trfWounAW9paUktb9hH2oII9Njp3r07VFdXx1KRdNNNE2T8i2P5\nWk/rWDeBqxgNBBUVFXDgwIHg2fYcTZMf/kwmw12P0+ZAJIyPPvrIaX6XL192mh8WpAT+OGzatAk2\nbdqU9/dMJtNpBH6Ta1yd9K5cuZIaX+QA+p53sPKRiQ/Bg47GqaGhQaihcbVQYnglEkVJtEVFUfWC\n4wPiNslcLgc7duyIdddGX6PLCJrYEKVZWlqqHBjMJnw/UMmUb+fOnXDDDTfAoUOHlN28+gLdAFqv\nv/46LF++3EaRlMoR9xvdfy6FuIaGBhg6dKiz/GQhu2+5WK98Q1oOPzwIBX4dwf166HwRVCZOWgfS\n1atXUcuexCJyPY9VHtXGlgu2tI51AICTJ0/CgAEDpN/H8NJj40YnjHCZunXrBsXFxcbuPNPcxwC4\nFDSSVppdpOZyOcjlctC1a9dA0dG9e3dobW0V9rUK1QIDqhrsMFgxZgAAhg0bFvsbL38R0noAlEXa\n14HOCKHA/4//+I8OiuE/eFy46+2027VrV2hra4NTp07l/cZrC912ots9KY8APD/8aV7cMMdrZx/7\nvBuV6upq2LNnDwCIKT8+tJOJkX2awfO0YuJSmYXJkyfDkSNHlL7xAblcDqqqqiL0mPHjxwc3WCUl\nJVyPcuF2pNfrkpISaG1tRS4xHybGxj169ICpU6fCjh070Iy8s9ms8e20ahlMKDum3qtcwtdy+YCC\nLyWP4XvETR3NJYYQNGDAAGsGh6WlpVrfmbhrS3qBsp2/zDgpKSmxWoYC+GAZGA8aNCip4gCA3XGJ\nvXbR6XYGlJeXR5559R85ciRUVFTk/T2Xy+XN7YEDB+IUkAHXexEPSY0F2bXUhFaYZr6/DnxQ0GCg\nIPA7hgqFZ8KECZZLYwaZSSDrCUHVLWe/fv2EeeugT58+QtdxLB/KthY7+mBjI58zZ84ovU9rjTDK\nlBY/zrwxqWv8St8GYHn4kcH1djuJDVH/ED/8nQkqXl58FgJtC/U8JZAtP/zDhw+PHKiwPa51Bvg8\nJm2Du8s+9thj8Kc//Uk7cdPvfYLJgPf9al8VSbozE5VBFVu2bIk8FxUVwfjx44PnsPDveqGYOXOm\n9o0DJtI4Rn2DyEOGK/BsEMLjm3UIwUBStADZg42Jhph3+O0sc2jr1q1M7rnswT+twlZa+g/7xqqA\nzgWuwP+zn/0M3n77be3ETb/3GS42b98nJDZtxZf6En5pXJlt++EnoNujb9++ieTL+82XPksCtEA8\nffr02N99QZcu0rEWI+jVq1fsb7aEeJvt50LwzGQyqY4+H9f+ly5d4n7HOzjy0sWAjnIN0/mEbN1c\n+eFXAUum0dkjpkyZgluwAtAgXP0PHTrEdL0pQlpP8rqQNfyifzt79iw3rHmaoOrZxdatiQlyuVzE\no4auYbENlJaWpmJehfnR9CYSJyz4KBzbhOxccNXfLS0tXO5vly5dYMaMGegKnDT0u4mXJYI01DMO\ndP3j2uP8+fPQ3NzM/NYVVCikcUKtCr3UF1ut69UA3yU6QzsKBf5nnnkGnnnmGQdFuT7hOmAEBkyv\nvWXe9TWw0dixY+EPf/iDFT/8RIvqwnsDDypUBda3ce82NjYmHkXYFLwxuW3bNu+Nj5O+ofHF0wfP\nw5pIeUP+JuPRZ9u2bVaNVJMArcEnaGlpgT/+8Y95B/0wPvnkE+vlo8uVFHjjQyaWC0aeLHsr3gG2\ns1PSaND1jXOf21nqzxX4MYJnLVq0yDgN33G9UXriytXS0hIR6HzRfqjCl3a3XQ5asLHdX21tbcrf\n+IqTJ09CU1MTdO/ePfYdFQ1iUogTEHwqY9IwmRdNTU2pFPhphQvLnqOpqQnq6+uhf//+we9tbW3c\nQ+/hw4dh+PDh1sochmj91Lm99WVvMIEN25zOgjVr1iRdBKvgCvwFH/zXUDCGEePdd9/N+5uJAMHb\ncDDbuH///syYAjR4fvivF9jSEKdlzpBysgwXp0+fHswBVSGBtwmPGDFCOvAPD6pzUJd2pDPXR4wY\nAc3NzXDy5Mngb7RBvQlkvUBhj8OxY8dCa2trasa3DC5fvgynT58GAIBjx45B//79g98w6E8moG9f\nZPYf1flZVlYmtGMQweYeonIbq/uOz+O5cIiJRzp84aUEKhPI5wmTFJJqk8GDBydaDl8WKBXNT2ce\nv7yAQnHg8X5FAjHrW3KgSIr3a/KuDkpLS625Zi0vL0czeMcUpnxH3IFv586dcPXq1eDvbW1tkXYJ\nH4YPHz7MDVZnC6J+csF5p9sv6XVeRfmmo6hL+rBXgBgFgV8SMoPYpw3UV3SGxYD4UB44cCBMnDiR\n+Y5s/4riCcQJhzaCIqks2La9Lo0cOVL726Swbdu22N9U6QWXL19GKVMYJ0+eRFt3BgwYAGPHjlX+\nLol1L0w5sQ1SP/L/ffv2OclXFxixXvbu3RuJyAsA0N7eDgAdNwA0jh8/bpxnHHS89ADYGZe8NG35\n4RdBdx5g0aN8gG5fdwaZrSDwI8AW3cfXSYRRLtPDEWbb6E7kTCYDQ4cONUpDlH4c6FsJm1DZRHU3\nXBppCcTlAqZjfcaMGQDQoW2lhS0T7yPDhg0zKhcPrKitLsCyZeEZMnY2fjdBnGGuyndxSLMtD93n\naRYCVYx2Wd+mue46iDPoTRMKu6oAWFd/nWkzUEEcD1/nOWmwOPzdunVDS5f+t234vGD71vcEPAF5\n2rRpkWcMA9jOPB7CQeXodr3xxhtR80rKcJrcgqRtPNO/2Sw/VnDBs2fPBv+WodPoKN+w5rItDj+v\nTiwPaSoHVl7dP/74Y/jrX/8qUUL7sBHduqmpqSDwX88QLZQ+C1Om8HXzwoJO/XT6u7y8XCnf8Ljy\nuQ/ihCufy5w0kjZyFCHNdEXTW1WeC8+4d+OeWSC3hJ0JSYznixcvXrdepkydYmC860ub26CMEYpa\n2lEQ+AUId7Toarcg0EShKiTIaptstrVMmQn/Uvf2p2fPnlLf2BxPvXv3jv2tMI7jEdc2jY2N8Oqr\nr8a+q+sKb+PGjYolzIcNT0oYPNgkDzmubtUIh78zzClbdWhpabGSLg8qazdvzOqOHVscfsw+Etk8\nXLlyBS2vAtxAKPA/++yzVq5I0gbMTVN1kfDl5KyKxsbGvJOxjqcA1zDhrI8fP56b9vTp06G4uFgq\nL5vo16+f11rbtAhIpJzvvfcefPzxx8rfxT0nhfD8tKH99w2Y7X7gwAHYvXs3WnpJw6RtfFu7eeNZ\nhe7jy1hPmmv/zjvvdKqxfr1AKPA//PDD8J//+Z8uytJpgL3Y2fDY4QKnT5+GXbt2WUnbtI379OkT\n/Ft1QYzjX3bt2jUizKvC5SaZyWQiGmnexsATTjs7fU0FaYvPgHlT1qdPH6GhrSgAla1x5NJRAlmr\nSTo6nowK4IM3jkh8AAIsJwLYwFwr6EBnGPPIFwWELPr16wddunDDShkhbe0RhwKlxwF0hSJfB5lK\nuYi/ZpZwIavlTFKgVKEx6PaXrKB96tQpeOutt7TyMAXGbYCv4zlsbIsJH8ezC8TVj+eClkeV6NWr\nF07BkNHZPa75WmYewvSgpMvv+zy35WEtCWQyGWlD/84ki6miIPBLApsH6/sAGjFiRNJF8BYy/Esb\niz3vpgdDuxE2TsQKMJSGGwAVgZJXX11eri/2PyJeu4kXD19h2xjRdz/8cTC1cfBhPPOAOVZ1BM2k\n/PCHy3H+/PnY3+KeZeB731/PKAj8CEiSh50EbNRXVejxbVGx4XqRV8dTp05p5xeHcPRMXdgwEAUA\nGDduHEq6rqA7nl0L/yqG8nHoTLc/KtS2NEJlHsUZnfsMjFs1k3d5327dulU6XUzEGR2n8YAeh1On\nTkXsBTGodDzHFmmFlFrw7Nmz8OGHHyolPHz4cK0CdQa4WhzTsgiH4bshoIxxV5h/KarPnDlzYMuW\nLUxvTyb9JxtAySeYlLFv376IJYkCq+3ieLmm8TpUy1dSUgKtra1K35hCtYw33XQTfPTRR5ZKEwXP\nfeahQ4esUhmy2axX3kwGDBgAe/fuDZ47q2tGVYjKje3VyZTDj8XTl6WppuGmVmfNi3O3WVxcDEOG\nDAluQdKwv8pASuBfvXo1/PCHP5RKkAhMGNpC3yE7ARobG/Ou/XQmT1VVVV4I8yTg+kBjGjRFBc3N\nzVzhUkVD0rt3bxgxYgTs3r07snDEfTdlyhTYvn175G9JLLIqGztPmDLBDTfcYJyGLmwIgDa05Tp5\nu8Ts2bPh8OHDcOLECeG7WO4O49KOS+/y5cvcAGCYZdD5zWU5OgOSaGef2hT7htV3IV8W3bp1Cyix\n3bt3D/4eFyyMXjN86mMTSAn8ffr0iXg1EaGzNI4sREJPa2sr7NixI/ZdWYwcOdILgV8FZOLIXH0m\nNW7CZWFFI6TR0NAgpc0dMGCAUp3CC1FnhEpblJWVWSyJHfDGBQCfIoE59n2hxvXt2xeOHTsWyYve\nRGUEigsXLlgpnyzitLsybbdv3z4YPXq0lXK5gougTrYFS1vpm/jhT5tXr86Cnj17wuDBg+HYsWNw\n6dKlpIvjFFIC/xNPPAFPPvmk7bJ4DUxDxjQgXIfRo0fD/v37EyyN/2AdaHS0JL5qVGiNPm+M+1qH\nOFwPmj9VmBjvlZWVCSlYJm3TtWtXaGtr0/4+vJaz1vWkb1mWLFkC69evRy8DC3F1pamNmUzG2nhO\nYr0wtZVRPaQUFRWhRmu1NWZJOi0tLZ1aAUX3/bRp02Dfvn3Q3NycUIncQMpoN80bl49Im0BEQ1eD\nSNMaZLWc9Ls67cdzvagaQCROM6M7T9LoN1nWsPHChQtMbxCdEeFxoUrbSWqNFeUbNlxTmYNDhw5F\nLUcYEydOtJa2aj+I2kHHeNDmWLB5s6QL3w7cMvvN3LlztcsF4DZmh058FdG7KigqSt43jKpL7d69\ne0du+13bRNlC8j1xncFUq1BABwqG0cmBPsSJFtNPPvkk7zuVPHyCjTrQ7Sf6TuQQQeUgLVsmHlzb\nJKjCN4HSZbpxntyItpknjPk6B3lIY5mrqqoSy1t2fra1tUkrbug+mD9/vnK5TCFbrzhbsTFjxsCR\nI0eC586i+S8I/JLwYSHxoQwAdsrhg2BAIKof8aHMKnN5eXnsb2lGZ6pPZWWl9re8sRHnWxuDPpAE\nVPMl7arrhcqHMYat5Qx7xMEoA3ZavuwpWJC9JVZF2LBbB3Te4bWiW7duRmkD6M05lXdpr3Aq8EHD\nz8KgQYNi26CzzQsCqZ7wYSH2DTwtJ9ZgwQwVPXLkSO7vixcvRstLF75rgHlUDPLb+PHj0QI5mXxn\nukF1ZsgGyrGFrVu3RgIyXbhwIehPTJ4vgYr7S5O1furUqdprViaTgZMnT6KUQwe28/PBIYGLcmC4\nHMbA5cuXI1F3aahy4MPjGttFZ3jcy+KDDz4I/p10W4uQVPmIDcJf/vIXAACYMWMGjB8/nlkmH6lu\nNiAU+Nvb2697g92kgDnoRJzarl27SqeFEfArzYdIEYef1mjkcjkYNWqU1atN07GC6SmjMwcu4oEe\nF3H1pQ1OGxsbgzgnly5dQhf6z5w5w/z74cOHI8+qPFcdkDxczn+RFzURTMpKOPx0GW666SbtNF0h\nzbRJE420CcIUkeLi4uDfdB1VYrmwoBJ4Mc17rQmIcH/o0CEAEN80XA/t5Oddi4c4ePAgvPPOO8zf\nXGmmed+aRpZTKZeKm7k4o12Z54sXLwIAzkSkr01VguGMGDFCO9+wV5tu3bopewWxtQhhbbK2DL1c\ngldOVzdfZDwSewcVqBzWw2C5oNXh+5u8G5cvLw3VcSXzfnieyn6bFId/zpw51tJmIWmt/S233KL9\nLX0Daxvl5eWwYMECmDx5shF10ASybIPOptUOl7+hoUFpLesM+5gMCgK/JEjQBhm4GiCUIqL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GfPHhgxYoSVfEePHg3vvvuulbTDUGl3VTs8W7x8FXTt2lU6j0wmExH477zzTvj1r39tpVwsJC7w\nZ7NZePnll+GOO+6I/P173/sezJo1C37/+9/DSy+9BPfddx8AdJwAWafAs2fPwve//33o1q0bPPTQ\nQ8y87rnnHnjggQfQ6yAa0GPHjoUrV64EvoCxBl42m4W33nqL+ZsrQxgRZE/RtgUmzPaI88OPXT/e\nN717945om2Wv413DFccyqZukcDh3msOftjZXTUcnHxVvP2kDy0NZQ0MDZLNZ1DqquH/Vzff8+fPW\nDLhVcenSJe1vZcstY5SLebgl40IVmP1A3/QltT8nIaskuT+G8wofFlwg8TudxYsX5wn7AAAVFRWw\ncuVKAADYuHGjMJ3nn38eWlpa4L777nPiBlAF4Q6mebwmA23y5Mna3/LAC1oEoMZNV/nWl40foxy8\numNsIiZeMWhMnDhR+1tbG4Fqurqu22zBZ42/DOI8LdmCTxx3V7eFGBg/fryVNVV0U6EiMImCdCWB\nJNct1/E6VOoq61DCpg2EK9hac/r378/NJ8n2SVzg54Fs4jKb+c9//nMAAHjkkUdi39m+fTusXr0a\nvv/978Pzzz9vzYiOhbRMAgA3XNs0tQeNMIefJ8RjbsQ2r+pNfGiz4MILEQ1TuwRVnD59OmJUncvl\n8jj8afSPrau1D495XfsVG1i4cGHkGdN1L4lCzAPR4tra9IcOHcr9XRR9XcW4Og5J97Eu6PqRKMW6\nyprW1lah952Kigro27dvRLvv8jYzicO7Sn62OPqitFXyFaXLo8xmMupRmTHhrcB/5coVeO655wAA\n4NZbb+W++8Ybb8CuXbsgm83CokWLYt/74Q9/CKtWrYJ/+Id/gAcffBAqKyvhscces+o5RgSbA7y6\nuhotbV2kRdCRwa5duyLPad3obMIVnYQG2ayxy2FihJ7URmcLPOGQB9fzJJxfcXGxtXx69eoF/fr1\ns5a+DETjZvHixdbzunDhgjfj16Qco0aNUlZ+YIxtrPkxZswYqfd02igcLFQVqtGf58+fr51XAXx4\nK/B/85vfhN27d8Mdd9wBdXV13HeffvppAABYsWIF8/eqqir4yU9+Au+99x40NzfD8ePH4YUXXoDK\nykr42c9+Bl/+8pfRy+8CohMrz7hLBSau3VSQ1KZBGzuzyhGulwyHX8WLjWuPN0nxFdOchwxMOPyY\nhwPfKI0AZh4xMI0WRe2sWjZRekTjm9QYdUF1Y8VQMNGY8sBT6Omiubk5MAxm3QDpBFmkxzu9xvNu\nAnT3UNkYBLwbOPJMzzkThyBlZWXc3zFvr3XXGV/2ENvwUuD/0Y9+BE899RSMGzcOnn/+ee67586d\ngxdeeIFrrLtw4UJ4/PHHYfTo0VBaWgoVFRXw2c9+FjZs2AA33HAD/OY3v4kNn66DmTNn5lluy/K2\nw8D2B0x8VYuugTsjeG0+EiGIiOw1cFLo7AsavdCH3SOKDKOSupVQwaBBg6TzpTd+n7SQGOmYGBPL\nCBcuDP/oPLBscjKZDLz//vvc31XSYv3btA9pDW5RURHXC5eteUXS1Qn6lialCQbFUkXDrzI+wrRI\nHRSEejX4ZekGAD/5yU/giSeegAkTJsC6deuEJ8tf//rXcOnSJbj//vuVNVtDhw6F22+/HdasWQOb\nNm1iGsH+6le/CowwTp06BQDXjDLKyspg2LBhMGfOHAC4dmqvq6uDQYMGwdq1awHgmp/WhoYGOHfu\nXLB5NzQ0RAw8GhoaoLS0NDhd79mzBy5evBjw/V5//fWIdX99fX3keceOHXDs2LHg+Y033oj8TspH\nBH7yTP8+ffr0yDMpD62tYn1/+vTp4JqbpsDs2bMH2traguAo27Ztg4MHDwbfv/nmm8zyyj7v3bsX\nLl++rPw9oT6F+2/y5MkRd7Dk97a2NvjiF78IGzduhN27d0OPHj2C/tyzZw/U19cDQMeit3379ojx\n25tvvgkXL14MjNjq6+vh3XffhdraWshkMrBx48ZI/fft2wdXr17Vbg/yTIQJWqtEnufOnRt5njBh\ngnT6J0+eDG6SGhoaoKSkBIYNGxY8nzt3DiorK4P6h+u3ZcsWo/4mzwsWLMir38WLF4Nnck0fV396\nvIfTDx8WGhoaAj/19PtkkyP1yeVyQf0GDBgAmUyGWx/R74sWLYJ/+qd/AgCItC+rPvT8JOsaq3+L\ni4th8uTJ0NzcDA0NDbBx40YoKiqCXC4HO3fujGiIt2zZAiUlJUEk41dffRX2798f2C7U19fD3r17\nYcyYMZDJZIL1ioz37du3Qy6XC74n5SFG43H1p9cfwp1n1b+kpCTw4tbQ0BChepHfyQG/oaEBioqK\nAipEQ0MD9OrVKxA+6fLQ8/GNN96A3bt3B5SFnTt3wsmTJ/PKT/pEtv/DY4muX5iT39DQAL1794ab\nb745eG5ubg7q3NDQEKxH5JlECSfPYfuLPXv2wKVLl2L3j61bt0JDQ0Ok/Vjlp+tH+p8833LLLZFn\n4rQjbjwTWhLZH8O/0/UNO/ig67djxw746KOPgvm5efPmvP10165dsGTJEgAA2LRpE+zZsydY37du\n3QpNTU2Bxnrnzp3Qq1cvGD16dKS85BYiXJ+rV68G6+Vdd90F2Ww2+J0ExIpbj4mb8YaGBti8eXNk\n/tTX1we3E++88w6cOHEicB3d0NAAV69eDda3HTt2wJkzZwKXz5s2bYK9e/cGbni3bNkCp06dCsZY\nuD/HjBkDzzzzTPBM/x5+FskL4f758MMPI/vv5s2bI+MrTLFqaGiICO2s9bisrCyoH72/0M979uyB\nCxcuCMcvcdtOnpcuXRpbnzCFkFX/LVu2wJkzZ+DKlStw6tQp2Lx5cxDpnciXNuGVwL969WpYtWoV\nTJo0CdatW5dn7cwCMdZ99NFHtfIkecR5JXj44Yel06INtGi3W9lsFiorKwM/rNlsFubOnQt//OMf\ng+fu3bsHZRk/fnxE+zB37tzIoKitrYX9+/cHz9XV1RFNyZw5cyLfs8qD/TxkyJDAGHrChAkwd+5c\nePnll4PnS5cuwZUrVyCXy8H06dMDzUEulzMu77hx4yIu3HTrw+q/TCYD2Ww2EE5yuRxMmDABFixY\nEGjUxo8fD7W1tfDv//7vANDRHzNnzoTf/va3AABQU1MD58+fhwsXLgBAR/+F67to0SI4dOhQ8Ezc\nuQJ0CO10gCAX/Sl6rqmpgTfffDN4njVrFhw/fjx4rqysDG6WampqIq5EZ82aBS0tLV7Vh36eMWMG\nvPHGG8Hz7NmzYf369cz36fqE60vGT9L1oZ+7du0Kc+bMgXXr1gUHi82bN0Mul4OpU6cGa0wul4PZ\ns2dDaWkp7N27FwA6DlrhDbm2thYOHz4cPM+dOxdKSkqgra0NADq8f+VyOTh48KC1+oQFQtJfGzZs\niPxO+iibzUJxcXEgMJHxvHv3bmb64flI6pfL5YLxPXny5EiwPF55c7mcVv3CCrBsNhsom8jzTTfd\nFPiOz2azUFtbG6xPrP2muroatm/fDgAd61dTU1OkfufOnQueZ8+eHVmDdNdTIpDq1H/27NmBUM+q\nb3gNzWazMG3aNNi2bRsAdKyh4QPg/Pnzobi4GJqamuD8+fNQW1sLZ8+eDQ4JCxcuhNOnTwfvz5o1\nC86ePRuM/8mTJ8MNN9wQrOcy5Q/f1JHfp0yZAu+9917wTA58rO/nz58fUEpJ/5L6T5s2DcaMGRMc\n6rLZbOTmaOrUqREf8IsWLYLjx48HNow1NTVw5MiRQKZg7X+i+qk+9+zZMzI+FixYEMwhMr7D6+2M\nGTMCV+Ss9bhHjx7BmltTUxOR6+j9Z8KECYGwbVKfcPnDCpJsNhtZH7PZLFRUVMC5c+eCNejhhx+G\nX/3qV8E7ZC+1BW8oPT/4wQ9g1apVUF1dDRs2bJAS9rds2QI7d+6EbDab541BFlu2bAEAiA02g4U4\nSo+P10yYV9WdBeF6bd68Oe9vMohrRxn3paouWF2Nq+7du0coJDQl4tChQ1pX5iZIak7RHH4T8DzA\nqNZP5KmFhYMHD+ZFFTb1MJHL5aQC/YSFWFOY0H8wQGsBkypHHGTLRyvEsHjWqsBqJyLIDxs2LDZN\nm30SbncVw/JMJgPHjh2zUaRUgA586buN2JQpUxBLYg4vBP7vfOc78K1vfQtmzJgB69atk6bmEGNd\nnitOAIC3334772/t7e3wv//3/4Y333wTBgwYIPQExAPL6NOG4OuLMI2xuNsIwJOE/2yfePo8FLiO\nOFAZzybANLaUcR/JwokTJ2J/szneRcoeFY6+CGEXuzrfJz3vTecqK1hYAfFIur+xoWOQLHrPdEzy\nvqe9sfG+VTns27YT0f0dG4lTep599ll48sknobi4GObPnw+rV6/Oe2fkyJHw4IMPRv52/vx5+N3v\nfgelpaV5v9GYNWsWTJw4ESZPngxDhgyBc+fOwWuvvRZwsNesWaOlBSMoLi6Grl27BlfXNHQPAKZa\nFKzB5DoaXBy6desWcaG6ePHi4LreFXK5HMyfPz/CjSWgDduINiKXyxn7Jne5MBQXF8eOZV/hwyEl\nTDfgYdSoUTBw4MCAKmQbtFaMB52DIc8hgcy4x+w7VS889LovKkvv3r2DGyuZctM0AALVNYBQFVh5\nuhZWDh48GNiBYKaL8a3NdYC3H6vmGzcuADps7AhNDAAitCIZ0NTPznRIMfHYpaIoUDnQ+CbU85C4\nwE/4du3t7UxhH6CDG0oL9WvWrIHm5mYpY92vf/3rsHXrVtiwYQOcOXMGiouLYfjw4fD3f//3sGrV\nqsCoUBeurjeJsY7st3FCm2rcgXnz5nE9P/BgU7OcxEQ6cuQIjBs3Lq8cqsKMT4sAjeHDhwe8UB1g\naIk6E1haNJf9jxEVU8edpe/URYD8ctk6HJmivLw8j2LFQlLtbJKviY93VUydOhV27NgBAPK3szrU\nTZOxX1NTE/EaqEqJPHv2LABAYLxKl01nPXBFw/J1ncBC0vVLnNLz5JNPQnt7O1y9ehXa29uZ/xGj\njDAee+wxaG9vhzVr1gjz+Od//meor6+Ho0ePwqVLl6CpqQn27NkDP/rRj4yFfZsw5YjHCfxhl4Uy\n0F2Qw1oKAP7ByLXwRzydsMCblOfPnw84/D6Bd+gNGxpigWhG6Q3E1YIm8u2cBIg9EIFKW9BX1SZX\n5rYOzrLvYQtQNqEaQIwW5GT98JvkywMxOA6XiQcT4cvW3BbFi8HMl3gM4uW1e/fuPAVXXFvo9qOs\n7YQJ4ly9krK76l8RiJciVjkqKiq0D09JC9dxSHL9S1zgTytYp2cC1kBzYbQb5v36OtgJXNNaXN8e\n6Pry1gVPAKbdo9J58q6XWbjxxhu5+blY0HhUDFU6G+9d3bqofkdvejR8n888JLnB6Vy/y2o5XQof\ncd/TSp3Zs2dbLUdcOmken0lD5fasM7YzcWvKAisQmi4wKVm6eSaNgsCvifBAZF3Rxwn4NJ8bEzU1\nNZFnHwZbZziR0wgHjmEtGnEaFNbfcrkck2Llsi1c2WikYVGl55AsiNvKMEw2FJv9r3pY06UBqOYR\nholNlQmw2131MG0KUbRVF5F3Afy6xYmDbl+rRJ6Py9PluNA1zJVNM6m5CqDGy3eRpypcz5OCwK8J\n1U4Pd2ycz39T6ApuIq1QAfmQNcQVjZMTJ07ABx98IPWuK2BqQcNwubjp5kXbydiATNlsthUJTBUH\nW+NQ5daLJxCZlE/k8lPE4cfSCg4ZMkTpfZ7HJBWhR+TlRBeu1i7VfHxxOOECqrZBIiaCLEzHlA83\nGLIKW5lvVX93iYLALwkSbU0GtrTatgYOiYxrA3FlxnDLqdserDDud911l/T3JPAJDza0KiZwuejI\nHgaSbhNMkMi6Mjh48KBTehoNE/sHmbwx4lPYGhs8KiYLU6ZMif0mk8kEBpJxoKNtEkyaNEmpHDbs\ncADUDgvhoGIq6bqk/7DaOXyIY5XFxFDVNw4/xm2bKVz2ry8gjjxUhX/X9SkI/JKQjQ3QGaDjkQMr\n7TAw+XthkNDpBLRmBDtfUmdTQ6+kMG/ePG5gOt82DR6Hv7KyUikvlbphLd4iWq70KF8AACAASURB\nVAZmOUaNGmUlH19uenTge/nCMFWSqNQ1HEVaBF/asKioKC9OjiqOHTuWZxwN0FHHcORaHYiMiFUR\njhxL97VLb0gm8EEJqpuuyJ21ixtkHgoCvyZEm51ro00T+MQvDmPRokVO8qEh8hoxf/58uHjxYhBS\nnQXbG55MJOo42O6/JDZ7WUGmT58+1soQpsapxl0IUw9sBKWLA89gLgwdV6I+rG00MDVwMvXT4Wpj\nRfA2hQ+ClyhtXZsbFbS0tMDevXvzynH06NHAR75q/cm4uOGGG5Q9RfFAB1K7fPlysE/NmjVLqYzX\nM7D2MLo/dIMgYqEg8EvChKcVPgBgTm5ReXzbcHmbKUugUNF0uhYyaUNbUyFN5d1BgwYJbyFMrg5Z\nhn0HDhyIPGN4WaLTcMG3tUUfEdEdRO0/dOhQpfzo/uABe26E7VdklBv02mdaHp5HIxvUF4z2w1oL\nfFvTkwbGbaxs4Lg0Yu/evXDw4EEoLS2VMtjGqG+vXr28OIRifqubzoULF/LobQW3nCkH7WnFFuXF\nl8UeY/NK20IaLm+cH35XWi6Vq3UdTJw4MTZvEUwWtDDVytZhiXcrYwpZDj8LqoZrIu64LFwFATMx\nzKOvwYuLi2PfpQV+UV4qY3XatGmR9GSCdMVx+DsbfKmf7VsJGS97PGUL+bcLP/xxsBFcKwxVmhLd\nPnSkYN20MN/tLCgI/BrQcW1me5J1dtBCKDZ0NeK6m4attDEgGt+0UO/D4U22/44ePSr8Fhs67cPz\n4qJSXpaBug50byYxboJUHCbYAKkD7dyA1w/z5s0zyvPmm282+l4WurcJpprWsGvjcHojRozQTtcF\nLl26BABuPbNgpGWqeHO5xjc1NUWeTQ4AslBpY1sG9C5QEPglER4QgwYNkn5XJV2TMrmESvh5X2Gy\ngNGbFQ0iEKsa6abx8OejRiWpdsR0bxu20RC5kqShqoWWSa+trU2qXel3zp07Z7xB+joveOUi9DTC\n1VZREmUymdQYWMqioqIi8mwrUnYmk4Hp06dH/kbzqGnQAiYPLJfadER5AHE0+7Bth2uFCRm3tuiN\nLpHE/sMy4E4L0i+5eQoVP6486BoZ+iiI8ZC2hYaGjRscX9pERdOHxVH0YUwCpG8e0cAo05UrV5g3\nIzJoaWmB8+fPA4Ca3YEtiDjatvrQ1PMSDyZjFItC6uPYJyD0N1vG8GR8Exw4cCB2vhw7dsw4PwwQ\nN5K2wGtX2u4iiXHmStHq27woCPyaUO3I48ePA4CZBwbfBo8M4gxWWNxhUf3CGtSKiorEDINoP/w8\njUlcui6vhLHTwxLqVdOQ1QomdZ0ex+E/c+ZMnpbR5c0ereUPf2+rH1lltG17QqBSJ5GhuC7Vj8B3\nDr+tciWprEiajkk89/DgmsMvS0WStQ2y1b+u5kkul4sc1FzZ3yWNgsDvCLLXQJgTSWWg+aBN5hnj\nAURdCPrmYsy3QFuqkNVAylANVAL0qEB0NZ80wn3e2toamX+mxsImm4aqByAdmBwiMhmxRzFdF72i\ndFlrjg9z2abQagOq5TApN88o1Jf2kMW7775rLW3Zthg8eDAsWbIEMpkMnDt3zlp5MIClKBMZB4fn\nvMwhKC3ztSDwS0BkQMXqRKLRF8HH6yGRjYINiBYaGU0b71CFGU04zOGX7RM6+FZaQSKEqrhlJFDh\n7aryS22165gxY6TftXUINa1bJpNBjz9gWwim0+/du7f0tz7ZihCuts3Dalw5WH/Hov+4XMd83CNV\nwCoTGRcy9gOqe4xqmYqKivJoNlOnTpVOK0m46u+wXYiPY0wWBYFfAiwNVJo7XQSehxAWxo8fL/Ue\n70RN+7XXAS/KHX2IoY3IbEBGcxkGvWCLbjx0kRTlxbTNk5hztqI900jbetLU1KQ0vl3WT0XwYUW+\nDBtmYtHXbM1lHnS8ydmCD9RUHRe0Lm53kroN5rUFvVZ3NiNyVeja4Pi2rhcEfgSIDgMqi10a/PD3\n6NEj8syLTBvmDzc3N6MF3zEF7ckhDFE7x/nhD4NXv3379uUdTlh5xtEYbLQdSXPy5MlS75NrzoED\nB8a+I3Kl6gMPtHv37mj5mvjhV0FVVZXV9EUaY9JvmN4qXIacJ+2XyWSYQjFmrAbC1U6jZ7O0GFOq\n3P6oQOWWUde2A8Be+VlobGyEEydO5P2dV/5sNhv5vW/fvnnv0J7ETMZO3LeyikUCTIN80yCocWVw\nLdOlbxXyEDrh0wl4HU5r0Hy52lTZvOh3CSWEBZc8UOy0eAuC7mKB6dmDrh/vkCZalMLGTliaH1Mh\nVrf/brvtNqN8dWEy1lUod6oKBtGYs7WuYMULkIGJS0hflC4YwKQ5qoK3pqji1ltvjU1XpQwy7586\ndUrpGxm4vokJ10GHplVTU5P3t7CdkE2HBPTvWD7xTee1CmUv3Oaub/4KAj8CXGqn0o7BgwcDgLyN\nQxzoCepSYIjzw4/p/URmATLRDI0aNUo5PwJas2vDL7ErwQpzwfWVw28btNBgaq+CRaPRzRsTMsqg\nadOmoeYpC58UJnG45ZZbrKRrG6L2MFESYkNnroW/mTFjBmZxlOAiKBdAfn9WVlZGnvft2+ekHKYo\nCPySsHFFxUJ4Ipme/H0UFEj9rly5gqqNEd062BYgDh8+nOeOzVX7L1y40Ek+BFh8XN74VtkQk74m\nLSA90Bkb4bUjPMexxhnLNSjG2sizaTJJVwa61FRagHOt/VYxgPYRSRhWDx061Ig+k0TbigKjiYB5\nyHFlJwZQEPidQFabTfOJaY1hWhadMNKgRVIFzeGXKZepFoUHHX6wDwsyz72erY1edDgQtTlvcTbh\n8NtqY5l0dQ1vk+Rtq6Q9b948o/xUIrHSkPW3Hr5x491wmLaVq3mvq2DRCUyVxgO/az/8Mohrt6Tt\n7bAgok9fDygI/A7Q2Ngo9R496Lp27Wp0Le4jfCwXy/UipvcR31xyuhQaXKTjEqoerGxAp91stnVr\naysqtxn7mr5///7S77KER0wj3jjo0kJdziGe9lh0cPZhrrsqk0m6dMyMCRMmmBYnAgz6Mat+4b+p\nOEJg9QlWv5gcVGzFQ0p6HhQEfglgdhKPqpDkYKAH+LBhw5zk4wNUF8E4Dj8Bj8fM62PdKMwsrwsm\nUDWc8gGyZWK1MS3IEDsTGYQ9VtA3cnRe4cBxaQYdiObgwYNBXZubm7W0l+H+u3DhgpfrhA6wudos\nwdqmkaQuxo0bZyXdzoK4cUF7ZqM94pmCpo9hz7NBgwYJo1fbBM/4G8vWzMf9TxYFgd8xaOGSnnDl\n5eUuixMLLD/1aZ4cvoIOUiYj8NtyC4h5gKGhy200pSKoeB5S8Zgja1ju+5yRDRYkqxnfsWOHUv6q\n3qts8bJt9RPL7SFWGVS0jSb0H9GhGfMGVQUqCpgk5qHtPEn6RJPe3t4OR48etZYPgQ83o5jB75Kg\nu2GgIPBLQreD6cVblM6yZcu08qFhqvmRBe3tRQU+cS9bWlqk35X1w++T4DZz5ky0tGwK+WHccccd\naGnxgBVZmubwh6kkMnSCuEMZxjU30crL0Fswxm1ra2teACuCS5cuWc8/Lq3ws4uNV+e2o0uXLs7W\nDhdxX0zToQ/guq6Adfo7vC/oHg5Yv8mOC5W5L1M/U6N1U7BuLHzaJwlsrg1J1rcg8FuAiUBEuwns\nbBx+FfTp0yf4N2vjxqyjSBsZ1g740rYq5RBtkjaM+UzbSdZw13Qs8GISiMCbz6pBvUSBylQQ52v+\n9ttvF37L04TJtjOttVfdQE02XJVxE8aCBQu08yyAj3Dbqs5VWjuchBtIk5uUJDF16lSp97D3U1b6\nAH5SegHyy1Xg8F/HcMmRFA00W1djtHbRh4lZVlYW4QPKtiUGb5Z2aRfW9IQ5/DJlam9vlzbcDsPW\nouPy2yTgyhMJDRM//NhljuPRysQdiLvtEhlm8iDS6mOiZ8+ekWeTtjUdH7Y5/DbTUtFai9LSpaqy\nBFH6QKcbfElkfGoTtvzw03OSphBjafjjBGTadk3EADCdb2nbmwBwo7uroiDwSyI8sCorKxMrhwq/\nUwUDBw7U+s62gaeO0PvJJ58Y5QkAsGvXLuM0wpvVxYsXlb+18a7MN2lcRH2H6zYNc3Vd5ONLOjRY\nwqDrvqBtN+68806n+ceVAxNJCmpY0VYBzP2zm8KlkscFD12GseDDfmNTw0+DVgy5DBpaEPg1MH78\neO7vKqdW0cDyYTKkDTph2lXaWYbDf+jQIWU3cGGtrI3otTKgy3zPPffkvZP0FaXrcOSy2Lp1a9JF\n0EJnXmOOHDki/S6m0HrjjTcCQAdXe8qUKZHfaK2riUcbFcFElQrDqx+GUkUHuoopWZgGK4sDHRU9\njsNvOhdFXn2wFD2+uF0Nl2P27Nmxv2HDhNZK718uFQAFgV8Tvm2SSYa3xoJNrbaqZw8MqCw4mUwm\nQqt6//33pb5RSV/nu+Li4sTGely+Mpx72ban87B1g2ZydU3TGnzqD0zPF+F8kqIUYrVtr169oKqq\nSupdFSNUVvlU1xmd32joKFUwQAvOaYErSqUtd9o0aEcHZAx+/PHHxmnH1Vd0O4C5x5MDuw3Q85Uo\n+lz0XUHg7yQIG7gSmCwydHq63nhsXvmrpI3llnLMmDFSfvhZ4G3Mly9fln7XNlxc9dKgxxurv+LK\nderUKTSBmOZ/q8DEExK2EO+K0iN7E6VajsmTJ+sURwqyZZk2bZr0u0uXLmVqPW1xtbEQLjM952yN\nHR+0wTbLwTrc03knPS5M9xdbBy9fFKn9+vVDS8sHZQ1BQeC3DNvW77ZABwmaO3cueh622sWmsBzn\n/UQGH330Uexvhw4d0k43jeOLBn1DFa7TpEmTACC+X48fP26vYAZIS7+Y8JZt1REz4JDuhkvGnQzo\nCKmy5XGJsJtUVjmwXEInDRW6kau+8OlWjvUb71YN86A0YsQIbjl4oJULIo24rQOeDw5NdFEQ+CWR\n1MIQ9yzSRNouL9Fy0/moTAZ6A2IB2yAVAzSHn84vrl7Y9Ie4esq4JXR1xRwHOqgW7waHeDUgz7Sn\nKlk3jLaRBg4/q51PnTqVQEnSh/At1NSpU6XmgY4ffltoaWnhGieaeDeyBZ0yHD582Dhfmo6F3RYu\nxoXL/pOlLIpux3nYt29f5Jnm7LuED3NDBwWBXwI2O1fWOpwWcu69997Iswl/zfTEqmtIRUeMTSNY\nY4MXiXTnzp3a6cpyfT/3uc9JvZckbrvtNu1vp0+fHnlmGfGqjGn6wOCbUTCmF5LrDSa2EgDX3Ilm\nMpkIjUGF0uCTcJBExG2WS+Ik2kRlTUhKi6uTL4vOqwNMKmecW2AaMoEAeXA1jrDmTSaTMa6zCQoC\nvwVgDcKwFpTm/NECPn2lLDvhZMGrU9jrhM0JSKctqzGvrKxELYdsgB5WtF1RgC8e6ENeHFi0I7oc\nvMjCPgkoAOLy0F5QWKANfaurq2PT19VC8fzwm7SpDcPY6xkqfXHmzBmjfEy52vTh3XRu0t/X1NRI\nf6srBJ84cYJbBh+hWkbV9+PGBbb9FJ0ezwsR5iHnlltuYeZPY8KECZFnX8fG2LFj0dLCpCuqoiDw\nS8KWIWPcb6WlpRFBWtUNmozAf/fddwMALr3DxBsJgJpxsCzvXUYgVCknbWBrC/TY0LUfoDVAtjcz\n15C5YaL5nuQwzapbEh6dVMDrDyJI2DDadXmYp2EijGCU25c5wDKS1vVIlclktI3UXWnAZdo97h2W\n+2wVew6TvUz0LrYSSjZfV3EGaMqmCmTb2eWctHUz5hqdoxadEGSAkUFtw+8xORRgB/ugKRcq38oa\nv/GMjGzj1VdfTSRfXUybNk37W3pRHTt2rNZCK2MAqXswYVGd6LFh4rZW9kaH5vCHy9/W1pZXpvBY\nFxnXybaFa3sGG3PQR0NK3Xpic7V9sbcw7SMX9TDxuGV7b/nrX/+q/S29lulQY301PPXlYI0Jn+pU\nEPgdQFbDP2bMmNj3aI0dbxC52PTj8h83bhxMnDjRWX4s2F7MZMti6iUAMyibijaL9y7WdSQrj/Ly\ncpS0sSHj918EmkKVyWSU6BS6wN5sfPQ2gpmWrgbYp01dxWMQDZ5mNrwemd64+CpwEtD9mZRGnvWO\na0qITl/5NB9sAHPvdYmCwC8BUYfJhI+OQzissokfbxaSWFTphZHXFr4v+izkcrmIi1IfJrMpjUo1\nfVmEfam77mvi2UcE07YK10s0f7H6ifWd7A2GD+NVB0mvFTrtFsfhN+kDQsPkpcVTHNlCGsaVyRga\nPHgwYknkaKYA+VQSEVXXRT8kSe1TgaxDFJdIep4UBH5DDBgwwMhAVsQXxjwE6FJtXCINfFsXC4cJ\nd1UHxBuJDHjBlnhu/lRhwkO3pZEzAW/cmPYlLUCYpHfkyBHm35PerFiQ6WdMG6WkUVFRof0t5uE2\njbCtGJHNVyVv2g5BVbuf9PgV5W8zoq1PrABfUBD4JYGpjVOByQJPgxb4dQb5okWLIs8y9eNxoHW1\n5So3B9jC8xtvvCH1reki4ioypCrOnj3L/LuJoRY2bAr8LGNAALt++G31vWnETJuHGJm0+vbti5aH\nClh2Fay2cOFvnc5X1k2jav/QY4WXj0mAwjDSeFiTyZdw+GXYA7IGoyZjDZtmJdv2rqI7F9CBgsBv\nCJNJwuNaxqWrMyHuuece5W908xVpM+gDjInbusLiYAey3GRaq3zrrbdaKxM2CmOnAyp2E0l6yqHz\nJsoLXaqNzm+Y+WB9m8lk8ozWaa9Vce5iVeOnTJ06Vfrd4uJiaVpdZ0MulxPSSVTGRpyCQYTOvsap\n2NhgguVuW1QGTMWtCQoCvwPEbZQqE9lk8Pbr10/7W1PQ5S4tLdUKbOTT4hW+lbAJVQGLZ1yadm6n\nLJYvX55Y3jT9zqZgGdfXSdEWZCB7uJcpM+1mlUBmbYlzTWjaVqzbBlM//DIoLS3lOmqI44uzvHdh\nGTTz4IuNkehbk7kkos/KcvgB7DjhcE1hURGQscZH2D6ygA4UBH5JyFzfxr2Lma8ObEYOdSVQmAbA\nwYJP/qfpd2W9yWAtqj7yHsOxK2xj7ty52i5PTduOVhaQ/nTtUUMlPyyaBw8soZuu38WLF6XSUm2X\n2bNnK72PAZf9ztNS+3SwjIPJuqf6HebthgnVNQ39Ygu+aNV9QkHg14QKXy68ULJ8httAXR3AmDFV\nsHLlCqiri/5mwtt1bUxK0NTUhJaPqTHp66+/rvWdT4uvyoHVRrmxx1FdHcDKlSuge/dueeOdl7ZJ\nOUpKSiJj6a233uKmg+XpI6k56BPi6mdqB6Q79uOESRscfjLWV65cAX/3d4OkvyPlC0eZTgomFFHf\nocLhv17go3IoDNvl86X+BYFfAqwJHOephBdg6IYbbnDCa/zXf70F1q4FyOUykMtlYO3ajk2CbBR/\n8zdfkBKKeDh48KDUe6oLNuYCH8c5xfRjbHNDsumHX8XQmOeVR+Z7U4jqWVcHzPE+fPhw9LKYIGyz\nY8sgm06nqqoKJV0ANnd1//79aOmnHXFzjMwfjGid9Fh/7bUyqKtTGz8fffSR1Hu21jZfhHjVchw/\nfpz5d5GnGWyDWNfAuD1KSmkURpJ94MuYLwj8yBg0KKpxCV8rYXS6jGZy7958TeLatflC0Wc+00u7\nXMeOHVP+xgQ6C4gtKpMrDr8ufFlcwrC52K5bl/+3tWsBbr/9FuYNly3MnDnTyFORDS8ZmAI/DZW6\ndkbhUSbvbDYL27ZtAwD5iM08sMb6+vV2KD28A4qvHsTCwBY6P/zwQ+bf6XaSoa6pGED7Zn/V2NiY\n9zdZz1CdBT6OdxkUBH4LCA8GXeGQ+EW3ObBefVU/fgAGfNo0TPKOu7ZPs1bHB5h7dolq/LEQ16+5\nXA7uuOMO6XRM+MQ+jC1RDBFfgUEHUsGVK1eM07BlgMjrw+vVy44paFsOV/Z+rtJmxWyJCz7qck9P\nykVvmlAQ+CWR9IlOJf+JEz+2lrYOTLyVJN3uNHK5XB6HP84vPUZePMhqsGgNFCZVyAV45Rk+fDgs\nXSpOY/169bRVweLw+8CXThuwbRSSGs+ZTCaiDMAoB2usL1min17//v29m+8AADfffLP1PGyNoeLi\nYqFbTlccfpVy+6BEMIGqm9nrEQWBXwLmmkY8n/oy+H//rxWWLQMoKur4b9myjv9oLFmCRzHyEUlo\nGUSQvcrFLDNN61DxVmFajpqaGqPvZfDKKxAZ7zLwaUwAXL+UF9/ycHGQMCkzPdaXLev4m4qwRufv\nypFEXP6uwDp8Hzp0yDhdE2pUGuDqIEDToWWQxCFFZvxOnDhR+l2XSPdIvA6gM2CKiorglVcArl7t\n+O+VV+I3Cttwudj1799f+1uVdp43b57Wd5lMRimUOC8wmwpUBHxsEGHC9sIcHu/sw23H/23SFGbM\nmJH3Nx79Jw6dxbUeZp+7FkqxgOWHP9yW9NruA9IwRlnxaI4cOSL9vYqjAxGI4icpj1tp1+a7gAkz\nwVc7v4LAfx0hbqPQWVBMJgMGrgfXhF27Rm0sRNxjW55eTL6zHZ2V9Q7vcKtjXKbipSgpmPS97Lem\nQoLJ9/Rh3ndNPFZ6ZWUdXni+9KX7uQboPEWCyvrgas20kY/LGBxhyBzQkwp+mfY9kAfbdRsxYoRx\nGr61f0Hgl0BjY2PinNGk89fNi6fhd6XJxEw3l8vBa6+9hpaeCeKijfq2yNgAcTF72203M4Ug0eFW\npY1YMSAA8gVYkR9++lsXBntJjoUhQ4ZofYc9XzHy1l2rGhoajOqzfHkp0+UsjcmTJyunTcoVbiPZ\nGC22D/I6mDVrlpV0RWC1Bf23uk87jSgcVDj8ruawDS9hPqxD2NCpi4xBsYs2Kgj8ElDR8JlqOU3c\n+hEhaNiwwc5cEU6YMIH7u6lrTN+uHn1auOhoqzwkabiIBRLkKs7vftLls5FeXB6YVDlbc8w0wN31\nDNIncW44w6irAxgxYqi0C1reGL3ttttUihlJs87VpuMZZOZ82nn8LqATEDQJ+UClnGRsyBzIXdSl\nMAolgLWJy3So7sKgIwSRA8LgwRXaAhP2NapvXgVYvrPDHH4efDusEHTt2hXFaFdGsxXXBpcvX5bK\nP1wGoh2TEYJEaZmA1IlOa+bMmcZp8/ILY/To0VbyKgAX2WzW6jqAefgFyKcR8uCT8oMFU29k4d+x\n6+rCe1dzc3Psbypj8vTp0xjFEYIIxbIyUFLjL+wNiKZqYUVTt4WCwJ8AbCyqqkIQa6N4+unPopfL\nVTq2YHLjYgJsuwrTtLHR2toqfIcup4ngRA63dXVL0G6/bFyBy+aFqTH0YTz4ABd2EKoQueFM+vCL\nBVtxBnzHtGnTACD52zDeWLhw4YL0uyrv0A4UkqT/6K7ltHHunXfeCQDX9pvq6snS+02B0pNSYAoq\norR1wdootm+X19Ynrb1OkophwuH3cSxgpetqoVb1Rc463H7lK2z7BxO8/fbbKOmoaB5V30nKKDOT\nwQ0WFiccDB8+XFgW1TxM3mf54ZdJl7SVS+9qKodI7PXfhsEtxjyyhR07dgDANY3w2LFjY981KWfS\n+zQBqxyuA7vptgVrTeGBtd/cc0+0rqyYAQVKj0fAdMmFjbKyMvSALJ0BLjQGPhhT+6SpczEfVIUg\n1uF2y5YeAKAmPC+j/H2mweic/pYn1MncZp06dUoq36VLl0byNvETrwKiMdVF0vOZ5UWK54YTc91X\nuXmmkXS7sdLFXotsyAC+7E0A+fUwnUthsNzqxq2fK1dWwcqVK6RtUnQR5uLz2krVsxtrv9m0qYtS\nGrZQEPiRYWq0K0JcWqpCEGujqKmJ5/yZwAbVRJVbjgkTH7uYbaEicLoSTuOAvSkm4Yucph3QddI1\neMSEzX7N5XJSVCyA/INFWVmZjSIJYXMt6NKFv4n37NlT2Q+/qrcdjBuAtra22N9s2aX4oKSwdUiR\nuc1KQwRunUBYcZCd/3V1AFu29I5ox198cQVaOcLAsoMi9B2VAwprfBQoPZ0UtjpWRQhibRS//GV8\nEBIfbjJoYEYwTqPrsziY1GXXrl1GedukLOmmzdOCYvb7jTfeaOX63ce5pwqeZwtasywjHJgIaxh9\nLpOGrlBXVwcwZMggaQFC9fCrMq942k1ZP+Um41fmW/IOlgtWm9BpCx8OR6pQuV0nAnPfvn1g7dr8\n39evd+P5TAWkH7/whb559B0WO23BgivSadpEQeCXQCZjJ1Jp0oIpvVH4IFhg1s/WQqnL4U/jwu0D\nTA1UWYfbv/wFqXAh1NfX4yf6KXyxq7CxRtTU1ESeVTSLovqpGt1jrz8sDj8PX/nKMFSvO6LyqSB8\no5HL5SJ+71X2yCSpb+Hxm+R6vH37dubf0xBRmrQbRllpvrtqOZKWWTZvzm+Ds2ej+03fvh2UHtEB\nvkePHhZL2oGCwG8BPvP9fQbWAky3c1ILu2tupw8HChtjvKqqCurqAG65ZZk2rxMzyrQKeO2hkne3\nbt2Uvkt6LLACiyWx/vGMIWkk3WYAAG++mb/py3rdCcOGdzGdKNWyENGjXMNVYDwaSbWDjvBsug5l\nMhkm350GzyZFhZYTrt/EiRMjv2HHSSD7zZIlAGfO5B/gWW3tIlZDQeBPGWxyv7A2ZMyFUqVMtFGl\nCsIClQhhDr9KXauqqpTKJIILAYW3Edg+0JB3brutizOtp0x54lBbWyudliuDQuw0XArtOoF4aCTl\nlYhAlcPvO2y5j6TjndBee2Rjn6ggyZuGNHD4TUDaYNKkSVrf82xSwhHm424ZRNpy2kNQXNR6EebP\nz7dpwnKbawMFgT8BYHndINy3Bx74W2MBqK4OYMKEsdYt47HAakMdAYFM/CFDhkT+buNq1fTKjtR5\n6NChkb/T2ookYUMgZC2QpoumCsfUB82vKjCEZRYw+1eWAx4GcWOI0SdXroh5tRhQaTOW4wQdrzvY\nyhuydtlSCtEKF5nbBJE2XKT9telZSNRORJtre/1J2i5I1Ecs+6ply/g2Mi6jWAAAIABJREFUKTIR\n5m+88ca8v2Hdtobxu9+dceY2FwMFgT9lIIIoZoRFXlq2hZ2k3ZLFLbxz5syJ/eb111+PPNsIGjN1\n6tS8vxUXFzPf7d+/P3r+uhg5ciTz72SxNbmFsQGd8Xfx4kXm3005/HERfHVAu9TT1WCFYSok0N/r\neMnQ8RxiQ2CSRZjDL4Nf/vIjYwGirg7g4Ycf8FZ5g73mx6XHUrDYEHR10mxqakIvBw1fFRVEUXnf\nfXcDgL6XKdX6idzOxtHgRN+5cpuLgYLALwkVgyQXEw3zqsj2tZMtYy7VhXbKlClK78ehvLw88mzi\nppOAFn5kfGIn7WqTRiaTER5+dHjArAXSdNEkm07XrkXKQtFHH31klnkMdu/ejZYWfZDF0iT67mUK\nM++4f5uCtCHrAJ/JZIxczmIqglTgat9jwYbCw/Y4d8XVV+kTF3ObNT4B8Fwsjxs3Lva3OGUUAe1W\n+dChQwBgRr9ScZtbcMtZQABd12OdFTrXsTI0HdZVII2lrGO7IWiDHZvXzUmguVk/xgN2tFHWprN6\n9e3C73Q4/Lwrddl+w5jzvLxMbqh41KGkb+/ioBMETLcPXHP4bSlvXBlg6ygETPsoCajY+5hAtk2w\n6W1xigbfOO0yiLtZl0USMWPiUBD4JeDqClIFmFdFvlw7+SC4zpgxI9H8kwpQFAesPvnwww+N8sZc\nNFmbTkPDkPw/MsqRVvA2fhlObFw6cWHnXQlfIq0dQLKUHhY6w3hSgS9e00zAKrOpIBhO13WbvP/+\n+5Hn8+fPS3/rc//5dqPBQl0dwGc/e28ilLuCwC8Jm374aSNMGWBqPXlp+Ty5KyoquL8TAz8edCa9\nCVdblB+WQXccbLjrU0Fa3Y3KAMsPP20jYLvNXN002NhgdQzhRa4CVb/hgcXhZ7UDoZiNG3eTkRCQ\nlPLGNh3TRhlM0+d5dhPdJm/cuFGYnwu/7GFguOWsrKzkpo0xPnn97PstT5L2kgAFgd8YMgNMNVy6\nLDC1nphpxQ1cWgBXcTHKeld0UOrXrx/3dx7i+pX2iJOEMBpn3GlrsfN9EVUFa9OZNu0cStq+HU54\n5Rk1ahTz7zwaStw3KvnKwlYaOhG6bc4BTN59WpU3mFi8eLGVdGXHTSaTyXMrer0h7uYCU1FpOp6T\nWKOSpjQVBH5ksAbAmDFj0NJPWvjyxZYAS4OpOmH79Omjzb9MgpdPGxjbBFb9VIIl6YC16axebW4w\na4uXGzfXsI0V6T5hecSR9cNuO3CRC2CsG9lsNq//6GdsIcBGkDlM5YKKe0QdiobrcafTFq44/LLI\nZDJSjiJ0EW4jVeUiuf3CpsB0BqqZKgoCfwFKMOEcshZzkScME2MiE68jGFzApA9FPkK2XevqAEpK\niq3xHHVutOiyy1DGkoLK2I97d0mS/uMEsE19I0gj9SQOGJxz21ChVNlsR5sBLn2FKDAkHRxNFnV1\nAAsXztNay1m3X3/7twO1yuEDkraXLAj8FiASANO4cCTN/XYN3kYf5monYdBNH7pccpJdYNWqSc5d\nC+oEZaG922Bx+ONAR4fERtJjQkfrqeNu1OVBnMfhx+Q1y0Clf+fPn8/9xkQTD5AfSVcErD7zRQkj\nw+FXBSt2CyZ0bA1vv72r0VrOuv16/fV42wkMLF++nPt7XR1A7949YOXKFfCFL/RVShvb45wq3DiD\nTTls+Rhubc0PyxyH/v37Q10dwLp1UwBgCrz4opuBosKpV4VJGlj9gSEMYJRFJV+Md33Z+FjYti2f\nhuS76zYXMLmx0k0PE6Ky6bhkJCgvL4ezZ89qf08gapMhQ4bA0aNHlb8Lgzb2fOWVDiGCjPElS5J3\n33f16lXu7zIad54rXtrhQsfetgIAAJ5+Ovn6A0Trg0VXpP3vJ33INoGMkmTDhvz6Ya3lKm13yy23\nSKfHU26uXn077N0LANDx7qZNJVBXpzZeC374OxlkN12VAD7f+tZ0p1pPwptbseLLkXxsXqVjDXgV\nbrMOpSesicxkMtL9raONxEq3AHOI2tk3Xi6AvTEngu0DJV1mDP6xjXaQ9cPvk69uAIATJ05Enknb\nkH7FvG2S8VzimtIDkD+GMShRJA2TtSJpZQ1pd9Y+i1021u3X3LmXldORtT0SYd++fPfNaVJGFQT+\nBKDDg9+0KX9DszXQkorWCIDDr3XF73UBketRVahSs7A9l8i077Rp+Zpa2zxHrI3KpmE2pvE/C53x\ncODateH1gkWLFkWeTW6WWLSNtWs7FE4DB/aDujqzMaIT1ZaV37x587TLQENnHtE2NSyjet08dOa+\nTCDLxYvz21FlLWdRYP7v/z0Z+36cq1RW/WTK7wJEuTpvXo31vAoCvyR8EwRtQsZrRBIeZ3yBLFcb\ng7LEojmYGE7rGl5hg1f2p5561ynPsa4OYNGi+cYGwrY5/CoCvw9zTrUMOpQl0TfFxcXS5WhpaUG/\nhQxz+JPqEyJQTJkyEU1xY9OjC0FY4fTVr46wnh8PmUwGVUAka4XKmCCHV/LN3Llzue8nfRMAAPCn\nP7UZr+Uqt1/Tp0+XTnfSpElqBQGAsWPz6XwmyihauWobBYHfAmxMtIUL873VJOlEI+nFxNV1bt++\nakY5LuBa22UC3cjBrigOvNusgQM7vEGkTasdRlJaexZs1hmjDgcPHpR+lw6OpgMXY4A1vp98co7w\nO5tjIpz2F77wBSZtg8bWrTg3NfSNDykLZqwc11SjpMohWwZbazmrfiq0q6KiDvG3d+/e0t888cSf\nUJVRLOWqTRQEfglg8bRNKCgvvXTBmdaT5zXC1UbgC1gadptcbZ2bEx/bjaCysjLy7FtZMX2gs8ZF\n0gdjFdg+HNx0003a39L5J31Ief/996W+Z/nhB+gQxB999KvW3M4SsMb3u+8OkP5etp1VHFtkMplA\n8dCnT5882gZ22WS+cXUwJmPBlb0P5vrTmezLwgE0iWKHQFRm3+xtVFAQ+A3BmlC2NnlXA83UdZQt\nV24u4XPZTKAqMNmmbrGMqXxte9/KxTNk1CnrrFmzjMvEA4Y9issDlK3+TtJGyhZU2qq0tBSKiorg\nkUceCf4W3tuWLcv/pr0drB+ORLAhPGPYrMn+jg1e2QmNrFu3Ll6MbbqsrJvuJNZ3mdstTBQE/gKY\ncHG4oLVCqsKlzUAysn74VcC6KZo2bVokP52NwJcrZB3QvuxdA9MHuuq4MO03mX5R0VyKBHLfDjw2\noFvHuO9YfvixI+vywBrfkybFGz3GAcsRQnl5uZQGlSicQqlYORyR9ZcF3f1Fpq1k1oq0zrfOeKC1\nBd3bLV0UBP4EIDK28RkqixAR5j788EPm76auslS4d74Cg+aggrRuIrbAu81K40HKl1s0V245efUj\nkZCv5zHPGt//+I+vo+fDa2Od9icKJ9an5HCE0a9DhgxhpoV1mMYEtkG5LkRur10daGXo07feeqty\nuq5vSsLKVdsoCPwWIDJUJBHrfNLiqoJEYuSB+KA+eZKtUZozR2w8JsKECROE72C7j6T5lzaDHfnW\n72FgL4zkGnjRovlONUJYt1mu/fBjtz8Za642PBJtVSc/mW9Uo7na4HFns1kYP3585G+uIusS0ONb\nJ2KqCDwPNmEtuov1zCSPohg1K3a5fYvZwapfXJCwAQPkbUCSwgcffAAA+UbatE1ZGD7vtVgoCPwS\nUBXMMX2d+woVKkacNs4WJQdDALcl9CRtRJU04spcuAYWw1bcA9lxpOLiUuY9kQcsHwyeSRlEkWd5\nGDZsWCQtUxspU4wcOVL5G5EbzjhBGeCaFl0Hrg9HNLXSBKNHj877G+aaLeMBzWQOifz8x8F1n/GQ\nxj3SJgoCvyEaGxul3z1//jwAuNekpQWZTAZaW1utpIsJm/7WO5MnBBW45DXLQrVdbY0Lsk7Q6wVr\n/cDgWselMXz4cOm0bB1OdGByk2paJhaHHyB9nj7qEjp9sw5HAB03gQ899HfoSgGM9Zc88xR/9Fqh\nY7wrCiqHGQ0ZQK6MuVwu8QNtWuFiihUEfgmwXDNigDeBiPaL0Bz69StPVONJyjFmTBVaOVj1379/\nv/a3Mr8lCZlyjRo1ykFJrgEzEqmv7e4ScVxgWkOqKhDX1QEMGNA38FRSVwfw+c9/Js9zCQZN0EYE\nax3IcHRtY+HChZFnukwsLa7v0Gk7lVtr1RtuEWiOM8ZNoOjGQmes8+giBDbpnzRs2bjJ7L2+HWjT\nsDe58MlfEPglMGDAgES08b7QHFjluP/+flbysjExsQ8HsvxLnTFD/ANjtYNIY/n5z38eJR9ZxNXL\np2tgXfDGBc8biAgrV47Km39JrQs6xo1pAWtsimgTIjsBYscEkM62IrfSMoi7IQo7ZzBd17BuAmfP\nnq30fmfn8GPBhWD9N38zAFauXAFlZSUF2qciCgK/x/CF5sAqx2uvdYt9P27hx/QyoCPEu9Su+AJR\nPUSaLhW0tbVpf+vzNbDr6MQ0tm4Ve7Nau7bjBq6mZibU1ZmNdV/Gvuv5ik2R8hUq7XrixAnpby9f\nvsz8O+YtoivoRAj30aWyKxAGwK231lkVwuvqADZvLo0oO1avvt1ehqF8V65cYTUWhAuf/AWBvwDn\nMDGAk0GcAKOyofPedcnhx94QdNKz6T4ynLZv18AEN954o9R79fX1sUKPC4Q3wTvvjD+QxwHTtiiN\n2uxMJj9arCm9KY7DnzbI1Pfjjz+2Xg5XN4G2XWeTPYQ3T2wdYrHzcslEYCkf9+0bHPs+Rhu6qp+L\nPa8g8Esgk8kPmGSangx8oTmwyjFvHr5gY8rZJafwe+5ZHvCcV65cAX369JSeoLZtA1THke64I3X/\n/Oc/E2mLpG1B0gB6HNmAyliaPbtJOf2NG6NLu45ggW30pwpWuVQOJZgeV3hlkilHXR3ATTeNSjxa\nrCp800C7ugnUudWz4dYV61sTjBs3jpu/L0wEW+hM9SsI/J4ik8l4Q3NglWPNGvxojaoLWl0dwIIF\ncz8VZPNP4fTz44+PQSmrCf8yKY0L/fzoo/Ku+egyV1dXAwDAnj17lMtG6mXiqs8meNocUZ+ojAuZ\n/p05cyZUVlbCpk2lefNPFJ2xvR2UhUu6TDxXi2kGJlVIROPIZrPwpS8N9MIWC6Aj34qK/lYPHrw2\n4/nrl0XcTaBrhYyJErCzcvhtg6V8HDv2mPA73w6uSSHRFf3MmTPwi1/8Au69914YPXo0dO/eHcrL\ny2HBggXwy1/+Mm9CPfTQQ1BUVMT9bxnx20Xh2WefhVmzZkGvXr2gvLwcFi9eDP/1X/8lXVYXghoL\nvtAcXJRDRcN/++1dI5vomTPi9Ldu7SXt1cQGrQH7piiMujqAmpqZsHLlCli7Vvz+m2/2lN706TJj\ncNp9XYB90uZUV1fDzTffDF27ds2bf+Fn9pJnR7h02W+8ueKKMoSRz2uv5XutSWJM+eAEol8/fGcP\n5EausnIY1NXZc/wgGgvEgNsnDj/mPhZ3uHXJRGApH5944k92MvsUvjAtMJCoNdoLL7wAjz/+OAwe\nPBgWL14Mw4cPhxMnTsBLL70EX/3qV+HPf/4zvPjii8H79957L1RVVTHTeu655+DAgQNw++35Bhxf\n//rX4amnnoJhw4bBI488ApcvX4bf/va3sHz5cvjxj38MX/va17jlVJmUJ0+eDEK6y6bnq/DjGioa\nxQ0bdNosA7kcBBvd5z6nkQSYcfhFddQZC3fe2Q02bAAAUPmW3Raq3isKuIb6+vq8yM9xhsxDhgyJ\n3YxVqTSvvNLRh+vXd2j2aaxfD7BqlVKS3iKTyUBdHcC6db0BYAWQ7WHdursAAODFF/MVEklSenzi\n8McdZmXWQV9vf8ghhqx9a9cCPPDAIHjgAf53mPYqBNXV1fDOO+/k5cGCDTuwpCLghtcfgA5h2KZy\nkk776afN0hONAdf1s4lEBf5sNgsvv/wy3HHHHZG/f+9734NZs2bB73//e3jppZfgvvvuAwCAu+++\nG+6+++68dM6ePQvf//73oVu3bvDQQw9Ffnv99dfhqaeegtGjR8Nbb70V+NT/xje+AdOnT4evf/3r\ncOedd8KIESNQ6sTa4G35w/Ud9II3efJktLRMQTa6uHRtHcJkfDWHIbMh1debbb7hTZ+1kSd1u5UE\nli6FvBsSE21OnMBXXl4OFy5cYP52//33K+dDNqCiIgBVGcZlv3Xr1s3IsPnxx8fA1q0AYQGvA9ee\n+/UDaGxcAQAd/fknSgFo++aApq3Mm9cCmzdHvb6kVUNIwNvTljJUoh2HtGt9giUwsQ4xb7xRJhT4\nVWGbn2/qIapLly5SEZRnzJgBb7/9tlLZ4kA7XEgrPvjgA+aYDSPN9Qsj0WP64sWL84R9AICKigpY\nuXIlAABs3LhRmM7zzz8PLS0tcN999+WFa/+3f/s3AAD49re/HQmgNWLECPja174Gly9fhl/96lfC\nPMrLyyPPKsFFMF0f+goZrWRFRQVafkuW5C+Qffuyec464G38NP/ShBNMxoaOgSG5yo7L3kVbmKCu\nDuCee5Z7ZchoYjeDxcstLi7W/pa1b5WXA9xxx63CdrYt1MRBxhMOGetbt/YSpnfmTJS2ctttxZ+m\nwR9kuVxOmq4mO1+z2SysWXPSC1ssDGrCpUuXhO/Q67wPVCIRZIRlGqJxa2sP4eUpQq9e7PlDvjdZ\ne3xEa2tr0kXwCn7cyzFAFl6ZBfjnP/85AAA88sgjeb+tX78eMpkM3HrrrXm/3XbbbQAAsKGDD8EF\nPaEWL14s/EYWPG8UviJpt3t/+Uu+YHb6NJvnzOI4l5d3CBBf/OLnEgtaBBDv71nU/+FNlEXlWbZM\nvi2S0Db6LAT4YjejA/rA0rdvvgBMtzO2ZpL3d5W0yLNorIuwbl0GVq5cAY88IhbqRG2hS2XxYUzp\nHGYx9iGbdjGsQ8ycOeJDCQ0RHcam/ZUqbBoW85RyNIffl/bgwSd7Ch/gpcB/5coVeO655wAAmIJ6\nGG+88Qbs2rULstksLFq0KPLbxYsX4dixY9CzZ0/mQCZh0d97773Y9Hv37h0MhLBW34TDSE+c8M1D\nZwJdTyyXZDNmzICioiLpTVRFCJJxy0n4l/Stxvz58/UqJ8iXhbgw3KKNPG7Tnzp1amxeN910k1LZ\nZOCTcawsRH0U5uUuX77ccmniEZ4XjY35v8e1s8oYxPC2IgvzkPPReU4EFR2qpeocb2ho8EqQYK2Z\nomjBIiQZmI61nj377HH0fFh9yHLKIIvwWlFXBzBjRnVwA0dus+6///NSDiZU874eUWifDiQbQjIG\n3/zmN2H37t1wxx13CK9hn/7UYmPFihV5v507dw4A4gVq8vezZ8/Gpv/FL35Rqsw+aQBso4OPOQyI\n0ZwNIzl6ExozZowRDzT8LuusJmO8RvfvvHnz5AsgAMbYKSrq2MhFYLXbrFmzYMeOHcz3u3VTD+J0\nvYKM/aSj87oC5kYangMdc/0Ln/6d/X5R0bXbKXKIKS8Hrseu9esBvvrVjn/rlF2FypkWyKw9vLbq\n378/911suxga4fWsrg5gzJgqAKhi7k260KG68Nrsf/0vgO3bV8CjjwZvAwDfJmXlyo62/OEPlYsi\nhOr+0zE/O2QzzHa2DRlKWmeGdxr+H/3oR/DUU0/BuHHj4Pnnn+e+e+7cOXjhhReYxrppBTndf/az\n93pDcQgjjoqBfdihN9b/+T/He0MBselDmbdJkLGxfPntwFLKpckQMI2uzjD98LNg4yYFq52HDh3K\n/LvqvJcRsuk1hgVCWaNdlJ4+LbZXieMx20A2m3WWFyZ0DkNx37iKJ+OaJnjnnXdqfVdXB7BtW600\nRY2+jZ4wYZy2S2UCen+ViSZO+veWW4q82YtV4SIatM/wSg31k5/8BJ544gmYMGECrFu3Ls9Qlsav\nf/1ruHTpEtx///15xroA1zT4RNNPg/ydl89DDz0UeFZZu3YtXL16FY4dOwbnz5+HI0eOwLBhw4J3\nGxoaIJfLwYwZM4Ln+vr6QBAgzwsXLgQAgO3bt8PVq1cDHvf06fWwbRsAQO2n+dXD9OkA77zT8Uyu\nAUl6STx3aCBqP61xx+/r19fCAw/k1/ett96CxsbGYNGhXZHV19dHNCf19fWwc+fOoC/r6+uhoaEB\nstks1NcXB/mR/Netq4f6evX6LF1a+2k9rqVXXg7w6KNj4NFH98CyZRXw4x/H9x95fvPNN+Hw4cPB\nGNi6dSt88sknQX1ojTmrvvTvVz9V0WcyGaivr4cdO3ZA9+7dP93MrpX3zBmAXr3qoakJIJOphSVL\nAL79bb32CNevS5cuMGnSpOB506ZNga0LqT+ZV+SZYPPmzZHbNFb9mpubAaBjw58+vR62b8crv+3n\nV199NULjYtUvvNaExy/r+dVXX408f/DBBxGvPhjl//a3AQBqYf16gFyuHqqrAV55pRaefrpjfBYV\nFQU0lY0bN0ZuJlj1a//U7ycZn++++25wA8Sq77lz54IxUV9fD3v37g0MJMn7c+fOBQCA1157DRoa\nGkIUHpJ/7ad5djwvXVoLr7wSX/9XXul4ptdTgHqYOrWDr33kyBHYvXs31NfXQ/fu3aG5uRl27twZ\nsampr6+PeF1jtcf+/fsjzw0NDcH8Ic9k/iQ9fuOeefXbsWNHcECKG8+DBg0CAIBt27bBgQMHgu/D\nY5nXX1jP4fXx0xrAunUAX/xi/P5z+vTpyHNDQ0Nw8KbrS8Yned65cyc0NDQEQQTJ+wTh9uhYv+nA\nj/nllX3ucKlcD717AzQ1ddx6//jH9fCv/xqtX1NTU+T5yJEjANBxYx6uX7du3YL5TGIlkN/Hjh0L\nAB3rQ0NDQ4gSeK0869f7OX4bQ5xG0Xq8efPmSP/RHtYwyrtjx46AUXLo0CEAuOa5jzzbhDcC/+rV\nq2HVqlUwadIkWLduXd41IQvEWPfRa/diEfTo0QMGDx4Mx48fhxMnTgQLE8H7778PAHzN2jPPPBP8\nu6qqClpaWuCRRx6Bo0eP5gXuymazMG3atMhzWOtHnokAXF1dDQsWLIAtW7YAAMD27bUQRS2EZcZw\nWkk9ZzLhK/bo73R9Z86cCVOmTIEXXnghkh6xmaitrYXi4uLIc3Nzc7Ao1dbWUvYV0fwymVoIF1G2\nPrW1xK9ux/M1GkCHIfbatQBf/vJQeOihaH3GjRsHtbW1wUSuqamBkSNHwgcffAAAHbSY8ePHB2Wu\nrq6GRYsWcetLt8fVq1eD9MhYef/99z8VgqL1uXixlvK7Llf/uOdsNgszZ86MPJPDKXmura2F7du3\nR54vXLgAx48fh/nz50O/fv249btw4QL85je/AYBrB1ms8tt+XrBgAfTq1Qu6d+8OO3bsyKsfQAfH\n+/e//z1kMpm88Us/L1iwAI4cOQJ33dXhQ37mzJnBgQ+z/Nf+3PGPKDUuA3/+85Xg/S5duuRtVOH+\na29vD4Rc8j6JuMyq76hRo+DPf/5z8Pzhhx9CS0sL8/158+bBqVOnwjUI/lVUBHD1qlr933mnlvKf\nXRtolrdv3w4TJkyA2tpa+MMf/gDNzc0wadKkSJlqa2uhtbUVDh48GNseN9xwQ7B+0/X57ndrYe3a\nHPyf/zP0UwqiWvldPbPW51wuF1mPZMbztGnTIh7p6NsN2/XJZGop+lfHfgXwQeT9cP8dP34cXn75\n5eD54MGDwSGPrt/cuXMj41O2Pa7FCgg7+qgHer3TeQ579t22rRa++12Az30uuv4S2nNtbS28//77\ngZOS2tpauHLlSnAoqa2thaamJjh27BizPosWLYoc6HxZr3n7zcmTJ+E//uM/pMbv/Pnzg7oD2Bm/\n9N9oPPvss9zfTVFkNXVJ/OAHP4BVq1ZBdXU1bNiwQUrY37JlC+zcuTNPKKGxdOlSyOVy8N///d95\nv5GNaMmSJVLlDF+P0Ua7JlegaeL+x1EEbNcBmwIiMmzcsqWHdFqd0SCIFcAuDkRDy4Nq/AGfQKhU\nffr0tHJ17TKIEYv2cOutuPxk3XLdeONAWLlyBSpdzbZ3nLh2CAeE8p32wPMBn6a1LW6PSMIYva4O\nYN68GunI5wD5LpSLijocTKhA1fGBTqBF1lw02YsLcIfEBf7vfOc78K1vfQtmzJgB69atY1JzWCCn\nVpYrzjCIP//vfve7EePcQ4cOwU9/+lMoLS2Fhx9+WCrP8MIRx3kj78h4gKAX2jTwmlX4mKKFVsUQ\nyhUPVAb0KZ30oyjeAmkPHeHX9tggQu2UKROhrg7fUFdEz/MVLAH5f/wPNi+bp73xJfgey+MN8UqM\n6YdfRQGwYsWISBufOZMfU8M3o0BSv7g17Fo71wZ/890LVdoRt0dgubGUdUF7550lQhsUgNpIOXM5\nfZsUGoSSIwMdt5U+7cUFqCFRSs+zzz4LTz75JBQXF8P8+fNh9erVee+MHDkSHnzwwcjfzp8/D7/7\n3e+gtLQ07zcac+bMgVWrVsFTTz0FkydPhs985jPQ2toKv/vd7+Ds2bPw4x//GIYPHy5V3qFDh0Y4\nm9hISwjnJP1I2wDLi8SsWRfz3hMtjsTNq+z7InRQL2oBoBaWLu1YWG2MDVZ4+s9+tg/87d/ipJ9m\nsATkt9/uDV/5ilo6OoF9fEZcHJIFCxbAq6++qpTWli098/529qycxynb6GyBiGzCh9sAF3vTl770\nJQDIjx4M0PEsc75QEZJpL0Q8j1RLlgDcfPPNAW1SFry+Yx10fJFLwn2A6S3IVrpJI1GBnxgptLe3\nM4V9gA6tGS3Ur1mzBpqbm2ONdWn8y7/8C0yaNAl++tOfws9//nMoLi6GadOmwTe+8Q0l6gLv6r2q\nqkr6MMCbXGkdWKahwWn06CFPqTEFfdAqL++g9GzZEnU7Svvhp0HXlxh4EqNAGZA0brut+FNh85oQ\nTjyTYIMl1G7e3FVZ4Pdhw08S9fX1gcGmr2AdbnViCNKBiogdQjabjQj8Iq9TsgKSTUyZMgX+8pe/\nMH/TFfivtXM9EC2/b7e1AKQPPg8AeIKNT+tAR/2+DABy9WOVfc75PBQoAAAgAElEQVScOZHna04U\nAOLcabJAxIclSzocFORz8sWgy08rCAEA+vTpCWGX2QMHDgycSYwYMUI5Txq+9C+rD+rqxO61Rbj3\n3p6wcWN+ummVzcJIlNLz5JNPQnt7O1y9ehXa29uZ/61n3IM+9thj0N7eDmvWrJHO68EHH4StW7dC\nU1MTnDt3DjZs2KAk7Iug45Pdl4njI0gQNVdUCHKNumSJODIpgaj/iAE38XLAA31gWr8+P21fKAE9\ne+ZrZAHkrs7TZK8CwKZSzZhx3n1BkMAKQrd+fQed65Zb5LcDeuwTTzwiewTZ6LkuhWMb9iWknTMZ\nf2kPPDeWaZunLPDqF2c/J1tv1WBwdORzLPz/9u48Pooq2wP471ZI0tk3kgBhSYBIWA0wLAkEEkIA\nUQYCYRdIMCiDoARZRHRYPo4DMz4fizgjggRlFJSRgCAIkkRAkNW4sQ8EhSeI7GEZCDnvj1hNd1d1\npztJp7urz/fz4TNjLZ3bVaerTlWdutew/AeouFtS+R0F+Xu6cg5ir8Ebd+5U3gd3lnNvVTm8hp8x\nNY56lG7NQaSiN+1lcvIjj2LrrAdXtaS2a9fynirUToCxsabdy1VMCIG0NCA4OMDqPqSdgVq96pIl\nx1WXTU5OrnSilJYGxMe3rpFtY+7idscOYfPFrfx95e4s5XdBmjd/xOL3qOxI0c7Cmv28fTtQVpZs\ntxeGq8rSsc50fzvrscuS6kwI09KAqKg6Nv8+zcWztecQW9jyfc3tT0svoXt5ebjUsZspccJfTSpz\nQIyMjASgjbsplXnZyVCrVq2sXtZRrDkJygmP2oGxohhJSwNq1RLV3lNJRdSS2nXryvuTr66RRSdO\nfMRlB2uxd08vgwcHO2TbmEsQLP0GDWM4LQ3o3r2rPtbV7qiOGFHbaPmsrNEYP169jEeS7LeNrSHH\nevPmzav0Oa6YHJvSwnewxJYe8p5+OloR12rHZ1OGg8M5UlXPqS+80MYpj9326siiW7dSu3yuM+CE\n34Hq1avn6CYwE2oHkeDg8iQ+K2s00tLM1/CrJTxhYco7I2on0xkz2pr0VCJqtKcSc0mt4UBMVXHg\ngLI0SyuPSWWFhYWVSpR27VL27uTIbWNNgtC3r6ci1tW6H9y1yxvjx49DWFjFo+fW1ElVvigfPnyI\nUeJij/cvzB0rnIGlhKmiHscMmYt5w0HMHKG6EkJzL5Wb3iSxpecae8RFVb6vpePW4cPKHtac4dht\nr96C1q8v0WwvRJzwVxOt3xGxJC0NGDt2jCYe96nVOJvW9L/wQvmypvtc7Y6p2vsAagnVN98oXz6X\neypxhrtElrhz7Juqri4Aa4K5i9uePVMq/C0XFFi7zx92tammpk+q1tR1W0O+EHbl2LeUMMnJelW+\nnzxCr6PYu/tI05sk9n4SaE171L6vpX3oyvELVO82NzweO3pf2ovTjLTrrsp7EegMoLNLdv9k6U15\nVz2YGO4DtXcQDx9Oxvjx5S8Vh4QAV682BtDYqt5GvvgC2LGjPMP4+OPyac7QU4m9dehwA/v3BxlN\n08pjUllycrLJSLHWSUq6j507jQf8qYlto9Y7VXliXr29Xpgjl/DUJHNlTLZ+x44dO5qdZ3jcs0et\ndnWq6Hzj6IvSqlLr1cawK82VKyt+abdTp1v4+mvju/xV/X3aKy7U9mdV92G7dtdw6JBxDZPWjt3u\ngu/wWyktDejRo3u13sXu10/nlLVxtrDXm/LOznCQIMsDrJhfVy6DcIaeSqqTWjnAm2+e0OxjUuBh\nF6yVsW7ddYdtm4pGnDZ9iVMuh1HLIQzLGqzhqvENPIxxw2RK3jaZmaNc7jheHUy3xcCB/Z3qqW9F\n75iYs3z5WU0fuyryxhvfu/X31xJO+K1g6TFwVRQWKje/OyTLtnD0HSa1sofyvrXNq+yw6Ibru/JB\nVe1RvhBCs49JgfLu7qpSl+us26asrDyJ7du3t1EdvuEFqmG8yt+jZ0/lZznD6LmW6pyrUo5l7hzh\nzDX89mKv82VVqd2c+uor4xHF1S7gWrduAaB6f5/OEhfWPoV31uMTsw0n/Faw5i62/MNx1TKWyrLm\nRSFrXvy0pdeEmmRaF1kRuUzBdFh0a+96OrqnElY9rDkO1OTgctZQv7g1fpplyly8qtUTX77s+KTB\nmrruyhzDtfaksyrnMS1sC2e9aLEXd8tbLNHytuCE34GSk8sU01ztMbelE6j8w+nUqZMDW1h1hnc3\nyu9cJptd1nT/Kde1zNX2v7tJSwM6d+6gWqpga12uo8aaMMfWi1trPs/RCb6aitrl7e2tnFhJzl7D\n707ULmjlJ1imv2V7X7S4QlzITziSk5M0fbFjytluOlYnTvitYK/+Xj/99K4mauMqOoFWtou3tDRg\n5MhhTlUHqtaLj7X7T+3iSAv73124w10/w9+yNTe6tHSBKh971J5IyiOUmmOvc4QrkRMlZ90Whsff\nh4y7UM7MHGX2HRVXlJYGDBo0QHEOrWggPXc41rkjTvitYK/HwPJnO+NdMEdp27YtAOc+4MyaVWhU\ntmPL/nO2rtyY9Sq66+csdbnVRS1xc4Y6fEeo6K6/uXOE1mLCGvbuDrMq5OOt2um6og4YqvOipSbi\noirnUC2UZVWWlkt6uFtOK5k7YNWvX79mG6JR8o9MPrG68wGHMWdg2m1njx7Ok7g5mlpSoIVtY9pt\n5cyZlfscLWwL4OHTAFeMfUtd0Gq1bMUwfj/+GPjgg/LptiTxFT3Nc2V8h78G8ci6FXOFA5Er1F9W\nRVoaEBlZ2+gxsL+/crRJU3JNulpPFx07tneaJzSVVVGpghbjgp9AVY0rxYTaHeFp0+Id3Sy7MPeC\nuiHDDhiqO/adJS7MnW+dtSzLErX4zcgoH/ulorwiLQ0ICwvG+PHj0L9/5btYdnac8FeTyjwG0vKj\no6pyxQOOFph7DCxZ8RZncLDxEOzOXJZVGfYqVeDjgOtyhRsU1lK7I1xUFKKcqAFq72KZcvXzjaVz\naEU1/M5clmWOWvzu3l3x+4MLF/bV1HnKEk74qxmfvJUqs02c+YCj5brc6iyl0mJZlqU73oWFhQgJ\n0WaCxCpHy8cKmaue8wx/y6ZdKNv7fFMTcWHrOTQtDejf/wn9k10tPd2zFKPHjkUpprn6ecocruG3\nE1c9CFYH0zrQ1auN74IFBATg5s2bRtPUuih09YMMcz9yHLvz799V2brPyo9zLQG0xMcfu/7xKjW1\n/ImcoW7dSq1ePyIioppbVLNcff+psfY7yU9j5QH15LvcrrRN1OK3a9f7jmmMk+I7/NXEloGj5Lpm\nf38fzT06UivjGDIkuML15BdlXOERubPUX9qDLaVUHTt2rLbPcnVCCJvjQj4ORESEae444Erk/RAe\nHoq0NOsS/yFDgq0qA3ClY4XaHeG8vNtWrx8ZGWnH1mmLo+JCjvXExE5G8aqFp7Fq8btu3fUK14uL\nO6+YptXzFCf81Ux+udHXV/3FD63VNZtSr6PT7lvvWlOdpVTOXJblSAEBAZo/DrgKtf0wfnyTCtfb\ntUt5THO1BEmNaRmHK9yAYdZRi3U/Px9NjTtQmTKkyZM/c5vzFCf81axhw4YAgKCgINX5WriSdnda\nr8u19aBpKSnQUh1oRayNCyEEHwechNp+OHCg4h6prKX1YwWrHEfEhVqsywOPqdHCXW5rL1jd5TzF\nCT+rVmplHF273qv5hjBWA+RH5EOHZuCFF5Tz27VrV/ONYnaXlKSsDdZCglQZQgikpQFBQf5ONSo6\ns5073OV2Z5zwV5J8on/iiceM6j4rqv/Uel2zWhnHRx9dq3A9V3rJ0ZXqcmuCK+276mT6iPzw4WRF\nsqP2Mjqg/eOAq1DbDx06lCimmcb4xx9fs6oMwB2OFS+/3JHL02zkiLioaOwBe447wJwDJ/yVUJX6\nW3eoa3aXx2OsnOljU3ep+61KWY47HAdcgdp++Oc//2P1unycA779trZiGpenOR/DWFfDNxy0jxP+\nSqhq/S2fKNSpjfDqjLgu17y0NGDYsMFOvw/to1D//6x56sHHAedgz/3gyseKtDQgNDTI6Lcs96bG\nqsZRcSHHOpF73HAYPLh89NzAQD/F+Uiu0nCncxUn/MzurLnj+8wzMfxY2MW5W88zXJbjfuQkoU6d\ncE3HtrnfckBAgGLZDh1uKKbx78D5af2GQ1oasHOnl1EML1zYVz/Pnc5VMk74K4FP9NZLSwPq1Yus\n8Cp63z5lzxjO+ljYHepyK8Pdep5RloMkW3XidNd3HlxdZZIEVz1W2PJbXrLkuFvcLa5OrhoXrkQt\nho8dq2d2npbPVTIeabcStm8vP9DLAdKjR/m0Zcsc2y5nY270vqws96jx1oryEUWHAoAmRhStTrwt\ntKU81h8F8Kgi1t01SbAG/w4Yc358h7+SbHkcJj8G/uMfH3eLx0YyW06QnTope8Zw1qcmrlyXaytb\n7mq6+5Mvd4oLLbLHY35XjQl3/y3bm6vGhStRi2EigfHjxyEkRDnPHeKbE347c9daMVstW1bMj4Wd\nkC0XbdzzjJLh+yvyhf/w4UP4GOCE1GK9fOTdcRgxYqhbJQn8W2auTr1XovI87MoVIDTU/eKbS3rs\nzJ0fA6emyiU9D1k6QbrKD47rL81zlX1oD8nJyb+XhIzD+PHl8b9gQfk8c+Vt7ry9XIU8EqmcJFz7\nfVgRuZTTElc+Vph+t/LYHgigvLQPKI91oDzWOZat58px4UrkmJSk8p6JDF27Vl6h4U74Dn81ke/e\n+fh48d2735m7S6R21/PRR1vxdnNCFT3aT0sDwsND3aprM3PUnuZNmNAUgHtf+LuKigYmAh4mCVrt\n2cQctdjmJ9eMuRZO+KuB2sFwypTWALgW0vRdh7Q0YNSoERg/fhzCwlzzpOFO9ZdqF21A+UVa27aP\nuuT+s5cvvihUTDtwQNmNIXNOprFeHbRyrFC7YDXFF7DW00pcuAp3z8NknPBXA7WD4aFD5QM+AFwL\nKTO9MLpyRbkMnzScj+FFG/BwH8rlKYZ4/xkrK4NbvyTmagxjXb64NcT7jDHXw++klBNkzahIbkoI\nYdWgUWr1YYbcNbhMVbSd5GXcra7OlVS0D915/z2s01dna/03czy17pfdUUWxDfB5jrGqsjbnrPTn\nc8JvnrUbv6KDoTsnQYasSfj5pOHc+OLWMjlBLCtTzuPjAHNlphc/AF8MMVad7J3wc0lPNVDv/omZ\nUqujc8Wusdy5/tLci42utP/spbCwUF8SwoPpMkBbxwrT97FsGYuGGdNSXDDXwSlqNZEPflz3aZ5a\nHd3ly3zScCVq+5CI958pfkmMMcaYM+GSHgsq+3iF6z4ZY3wcYIwxZi2u4Xcge298xhhjjDHGuIaf\nMSfD9ZdMDccFM8UxwdRwXDBH4ISfMcYYY4wxDeOSHgu4pIcxxhhjjNkbl/QwxhhjjDHGKo0TfsZs\nxPWXTA3HBTPFMcHUcFwwR+CEnzHGGGOMMQ3jGn4LuIafMcYYY4zZG9fwM8YYY4wxxiqNE37GbMT1\nl0wNxwUzxTHB1HBcMEfghJ8xGxUVFTm6CcwJcVwwUxwTTA3HBXMETvgZs9G1a9cc3QTmhDgumCmO\nCaaG44I5Aif8jDHGGGOMaRgn/IzZqLi42NFNYE6I44KZ4phgajgumCNwws8YY4wxxpiGccLPmI2i\no6Md3QTmhDgumCmOCaaG44I5Aif8jDHGGGOMaRgn/IzZiOsvmRqOC2aKY4Kp4bhgjiDInuP4ujgh\nhKObwBhjjDHG3IA9U/JadvtkDeBrIcYYY4wx5uq4pIcxxhhjjDEN44SfMcYYY4wxDeOEnzHGGGOM\nMQ3jhJ8xxhhjjDEN44TfxLlz5zB27FjUq1cPOp0OMTExyMnJwbVr1xzdNGYnV65cwfLly5Geno6m\nTZvC19cXwcHBSEpKwrvvvmv25e09e/agb9++CA0Nha+vLx599FEsWrQIZWVlNfwNWE1avXo1JEmC\nJElYsWKF6jIcG+5hx44dSE9PR506daDT6RAVFYU+ffpgy5YtimU5JrSPiLB27VqkpKQgKioKvr6+\naNKkCYYMGYKvv/5adR2OC21Yt24dJk2ahKSkJAQGBkKSJIwaNcriOpXZ96tWrULHjh0REBCA4OBg\npKSkYPPmzdY1kpjeqVOnKCIigoQQlJ6eTjNnzqQePXqQEILi4uLo8uXLj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eu2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\njGnY/wPUEgBYq/wS/AAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0xac0ccf2c>"
]
}
],
"prompt_number": 8
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"when_worst = Y*Series(worst_day.dropna().index.values) # in days\n",
"winter_spacing = when_worst.diff()\n",
"when_best = Y*Series(best_day.dropna().index.values) # in days\n",
"summer_spacing = when_best.diff()"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 10
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"ax = summer_spacing[summer_spacing > 1].hist(bins=100)\n",
"ax.set(xlabel='Winter Duration [Westerosi Days = Earth Days]')"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 11,
"text": [
"[<matplotlib.text.Text at 0xab58778c>]"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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DDyozM7P0xTOUo5IxlAMAgCoxlFdlDOWws/6cT9j4sRjKQ0dF5gKhgUzADrmAnZB6oycA\nAAAAe7xSDgTBK+UAAIBXygEAAIAwwFCOkMNnzMIOuYA/MgE75AJOYSgHAAAAHEanHAiCTjkAAKBT\nDgAAAIQBhnKEHPqAsEMu4I9MwA65gFMYygEAAACH0SkHgqBTDgAA6JQDAAAAYYChHCGHPiDskAv4\nIxOwQy7gFIZyAAAAwGF0yoEg6JQDAAA65QAAAEAYYChHyKEPCDvkAv7IBOyQCziFoRwAAABwGJ1y\nIAg65QAAgE45AAAAEAYYyhFy6APCDrmAPzIBO+QCTmEoBwAAABxGpxwIgk45AACgUw4AAACEAYZy\nhBz6gLBDLuCPTMAOuYBTGMoBAAAAh9EpB4KgUw4AAC7GzFmjUm8dCGFnB3Z7DOwAAKA8qK8g5Fy8\nPqAp5QtVET1R+CMTsEMu4BSGcgAAAMBhdMqBIIJ1ykt/VZxcAgAQSviccgAAACAMMJQj5NAHhB1y\nAX9kAnbIBZzCUA4AAAA4jE45EASdcgAAQKccAAAACAMM5Qg59AFhh1zAH5mAHXIBpzCUAwAAAA6j\nUw4EQaccAADQKQcAAADCAEM5Qg59QNghF/BHJmCHXMApDOUAAACAw+iUA0HQKQcAAHTKAQAAgDDA\nUI6QQx8QdsgF/JEJ2CEXcApDOQAAAOAwOuVAEHTKAQAAnXIAAAAgDDCUI+TQB4QdcgF/ZAJ2yAWc\nwlAOAAAAOIxOORAEnXIAAECnHAAAAAgDDOUIOfQBYYdcwB+ZgB1yAacwlAMAAAAOo1MOBEGnHAAA\n0CkHAAAAwgBDOUIOfUDYIRfwRyZgh1zAKQzlAAAAgMPolANB0CkHAAB0ygEAAIAwwFCOkEMfEHbI\nBfyRCdghF3AKQzkAAADgMDrlQBB0ygEAAJ1yAAAAIAwwlCPk0AeEHXIBf2QCdsgFnMJQDgAAADiM\nTjkQBJ1yAABApxwAAAAIAwzlCDn0AWGHXMAfmYAdcgGnMJQDAAAADqNTDgRBpxwAANApBwAAAMIA\nQzlCDn1A2CEX8EcmYIdcwCkM5QAAAIDD6JQDQdApBwAAdMoBAACAMMBQjpBDHxB2yAX8kQnYIRdw\nCkM5AAAA4DA65UAQdMoBAACdcgAAACAMMJQj5NAHhB1yAX9kAnbIBZzCUA4AAAA4jE45EASdcgAA\nQKccAAAACAMM5Qg59AFhh1zAH5mAHXIBpzCUAwAAAA6jUw4EQaccAADQKQcAAADCAEM5Qg59QNgh\nF/BHJmCHXMApDOUAAACAw+iUA0HQKQcAAHTKAQAAgDDAUI6QQx8QdsgF/JEJ2CEXcApDOQAAAOAw\nOuVAEHTKAQAAnXIAAAAgDDCUI+TQB4QdcgF/ZAJ2yAWcct6hPCsrS/fff7+6dOmiOnXqyOVyadiw\nYUGvs2XLFmVmZiohIUHR0dFq3769pk+frjNnzpR6nQULFqhTp06KjY1VfHy80tLStHLlyvI/IgAA\nAKCaOW+nPCUlRTt37lRsbKwaN26s3bt36/bbb9fChQttj1++fLkGDBig6OhoDRkyRAkJCVqxYoX2\n7NmjgQMHasmSJQHXGTdunKZNm6bExEQNHDhQJSUlWrRokQ4fPqwZM2Zo9OjR9ounU45KRqccAABc\njJnzvEP5+vXrlZiYqJYtW2rDhg1KS0srdSg/cuSIkpOTdfToUW3evFkdO3aUJJWUlCg9PV05OTl6\n9dVXNWTIEO91tmzZos6dOys5OVnbtm1TXFycJGn//v265pprVFRUpN27d6tZs2aBi2coRyVjKAcA\nAFXijZ5ut1stW7aUpPMuJisrS4cOHdLQoUO9A7kk1axZU48//rgkadasWT7XmT17tiTpkUce8Q7k\nktSsWTONHj1aJSUlmjdvXhkfDkAfEPbIBfyRCdghF3BKhb7RMzs7W5KUkZERsK9r166qVauWcnJy\ndPLkSZ/rWJZle51evXpJktatW1eRywQAAACqlAodyvfs2SNJuvzyywP2RUREqHnz5jp9+rT27dsn\nSSoqKtKXX36pmJgYNWjQIOA6ycnJkqS9e/dW5DIR4txut9NLQBVELuCPTMAOuYBTKnQoLywslGVZ\nPjWUc8XFxckYo8LCQu/xnu2lHS9JBQUFFblMAAAAoErhc8oRcugDwg65gD8yATvkAk6p0KHc/5Vw\nf57t8fHx3uPP3X6+4wEAAIBQVKMib6x169bavn279uzZow4dOvjsO336tPLy8hQZGakWLVpIkmrX\nrq3LLrtMX331lQ4cOKCGDRv6XOfjjz+WZN9R9xgxYoSSkpIkSfn5+ZLkvRwfH6+UlBRvP8zz7JfL\nXC7P5R94LrvPc1lVav1cPnvZs62qrIfLVeOyR1VZD5edv+x2u6vUerh8cS7n5uZ669L+86TncmU7\n7+eUn2v9+vVKT08v9XPK582bp7vuukt33HGH5s+f77MvOztbPXr0ULdu3Xw+TWX48OF66aWX9OKL\nL2rEiBE+13n00Uf1+OOPa8KECZowYULg4vmcclQyPqccAABUic8pL4+BAweqXr16WrRokbZv3+7d\nXlxcrN///veSpPvuu8/nOvfee68kacqUKT5v6MzPz9fMmTMVFRWlkSNHVuQyEeI8z4CBc5EL+CMT\nsEMu4JTz1leWLVumZcuWSZIOHDgg6ey/wul5Vbt+/fp6+umnJUmxsbF64YUXNHDgQLndbg0dOlR1\n69bVihUrtHfvXg0aNEiDBw/2uf3rr79eY8eO1bRp09SuXTsNGDBAJ0+e1OLFi1VQUKAZM2aoadOm\nFfmYAQAAgCrlvPWVSZMmadKkSf/3Z/wfeK6WlJTk/dxxjy1btmjKlCnKyclRcXGxWrVqpTvvvFMP\nPPBAwO14LFiwQDNnztRHH32kiIgIdezYUQ8++KAyMzNLXzz1FVQy6isAAOBizJzl6pRXNQzlqGwM\n5QAAoNp1yoGqgD4g7JAL+CMTsEMu4BSGcgAAAMBh1FeAIKivAAAA6isAAABAGGAoR8ihDwg75AL+\nyATskAs4haEcAAAAcBidciAIOuUAAIBOOQAAABAGGMoRcugDwg65gD8yATvkAk5hKAcAAAAcRqcc\nCIJOOQAAoFMOAAAAhAGGcoQc+oCwQy7gj0zADrmAUxjKAQAAAIfRKQeCoFMOAADolAMAAABhgKEc\nIYc+IOyQC/gjE7BDLuAUhnIAAADAYXTKgSDolAMAADrlAAAAQBhgKEfIoQ8IO+QC/sgE7JALOIWh\nHAAAAHAYnXIgCDrlAACATjkAAAAQBhjKEXLoA8IOuYA/MgE75AJOYSgHAAAAHEanHAiCTjkAAKBT\nDgAAAIQBhnKEHPqAsEMu4I9MwA65gFMYygEAAACH0SkHgqBTDgAA6JQDAAAAYYChHCGHPiDskAv4\nIxOwQy7gFIZyAAAAwGF0yoEg6JQDAAA65QAAAEAYYChHyKEPCDvkAv7IBOyQCziFoRwAAABwGJ1y\nIAg65QAAgE45AAAAEAYYyhFy6APCDrmAPzIBO+QCTmEoBwAAABxGpxwIgk45AACgUw4AAACEAYZy\nhBz6gLBDLuCPTMAOuYBTGMoBAAAAh9EpB4KgUw4AAOiUAwAAAGGAoRwhhz4g7JAL+CMTsEMu4BSG\ncgAAAMBhdMqBIOiUAwAAOuUAAABAGGAoR8ihDwg75AL+yATskAs4haEcAAAAcBidciAIOuUAAIBO\nOQAAABAGGMoRcugDwg65gD8yATvkAk5hKAcAAAAcRqccCIJOOQAAoFMOAAAAhAGGcoQc+oCwQy7g\nj0zADrmAUxjKAQAAAIfRKQeCoFMOAADolAMAAABhgKEcIYc+IOyQC/gjE7BDLuAUhnIAAADAYXTK\ngSDolAMAADrlAAAAQBhgKEfIoQ8IO+QC/sgE7JALOIWhHAAAAHAYnXIgCDrlAACATjkAAAAQBhjK\nEXLoA8IOuYA/MgE75AJOYSgHAAAAHEanHAiCTjkAAKBTDgAAAIQBhnKEHPqAsEMu4I9MwA65gFMY\nygEAAACH0SkHgqBTDgAA6JQDAAAAYYChHCGHPiDskAv4IxOwQy7gFIZyAAAAwGF0yoEg6JQDAAA6\n5QAAAEAYYChHyKEPCDvkAv7IBOyQCziFoRwAAABwGJ1yIAg65QAAgE45AAAAEAYYyhFy6APCDrmA\nPzIBO+QCTmEoBwAAABxGpxwIgk45AACgUw4AAACEAYZyhBz6gLBDLuCPTMAOuYBTGMoBAAAAh9Ep\nB4KgUw4AAOiUAwAAAGGAoRwhhz4g7JAL+CMTsEMu4JRKGcqTkpLkcrlsvxo1amR7nS1btigzM1MJ\nCQmKjo5W+/btNX36dJ05c6YylggAAABUGZXSKU9KStKRI0c0ZsyYgH0xMTEaO3asz7bly5drwIAB\nio6O1pAhQ5SQkKAVK1Zoz549GjhwoJYsWWK/eDrlqGR0ygEAwMWYOSttKHe5XNq3b995jz1y5IiS\nk5N19OhRbd68WR07dpQklZSUKD09XTk5OXr11Vc1ZMiQwMUzlKOSMZQDAICweKNnVlaWDh06pKFD\nh3oHckmqWbOmHn/8cUnSrFmznFoeqiH6gLBDLuCPTMAOuYBTalTWDRcXF+vll1/WZ599ptq1a6t9\n+/bq2rWrXC7f5wHZ2dmSpIyMjIDb6Nq1q2rVqqWcnBydOnVKkZGRlbVcAAAAwDGVUl9p3ry59u/f\nb7t93rx56tq1q3fbddddp+3bt2v79u3q0KFDwHXatm2rXbt26aOPPlLr1q19F099BZWM+goAAKi2\n9ZWRI0cqOztbX3/9tY4fP673339f//M//6P8/Hz16tVLO3fu9B5bWFgoy7IUFxdne1txcXEyxqig\noKAylgoAAAA4rlKG8kcffVRut1v169dXVFSUrrrqKs2aNUtjx47ViRMnNHHixMq4W0ASfUDYIxfw\nRyZgh1zAKZXWKbdz77336plnntHbb7/t3eZ5JbywsND2Op7t8fHxtvtHjBihpKQkSVJ+fr4keS/H\nx8crJSVFbrdb0g+/aFwO7cseFX17kuey+zyXK/b+uVwxl3Nzc6vUerjs/OXc3NwqtR4uc5nLzl3O\nzc31tjL850nP5cpWKZ3y0hQWFqpu3bqKiorS8ePHJUm33367XnnlFb3yyisaOnSoz/GnT59WXFyc\nTp8+rWPHjgW80ZNOOSobnXIAAFBtO+WleeeddyRJLVq08G7r3r27JGn16tUBx2/cuFEnTpxQamoq\nn7wCAACAkFXhQ/nu3btVVFQUsD0/P1+//OUvJZ19ddxj4MCBqlevnhYtWqTt27d7txcXF+v3v/+9\nJOm+++6r6GUihHn+LAWci1zAH5mAHXIBp1R4p3zRokV65pln1K1bNzVt2lSxsbH69NNPtXLlSpWU\nlKh3794aN26c9/jY2Fi98MILGjhwoNxut4YOHaq6detqxYoV2rt3rwYNGqTBgwdX9DIBAACAKqPC\nO+UbN27U7Nmz9Z///EcHDhxQUVGR6tatq5SUFA0bNsznVfJzbdmyRVOmTFFOTo6Ki4vVqlUr3Xnn\nnXrggQf+r9drs3g65ahkdMoBAMDFmDkv6hs9KxpDOSobQzkAAAi5N3oCFwN9QNghF/BHJmCHXMAp\nDOUAAACAw6ivAEFQXwEAANRXAAAAgDDAUI6QQx8QdsgF/JEJ2CEXcApDOQAAAOAwOuVAEHTKAQAA\nnXIAAAAgDDCUI+TQB4QdcgF/ZAJ2yAWcwlAOAAAAOIxOORAEnXIAAECnHAAAAAgDDOUIOfQBYYdc\nwB+ZgB1yAacwlAMAAAAOo1MOBEGnHAAA0CkHAAAAwgBDOUIOfUDYIRfwRyZgh1zAKQzlAAAAgMPo\nlANB0CkHAAB0ygEAAIAwwFCOkEMfEHbIBfyRCdghF3AKQzkAAADgMDrlQBB0ygEAAJ1yAAAAIAww\nlCPk0AeEHXIBf2QCdsgFnMJQDgAAADiMTjkQBJ1yAABApxwAAAAIAwzlCDn0AWGHXMAfmYAdcgGn\nMJQDAAAADqNTDgRBpxwAANApBwAAAMIAQzlCDn1A2CEX8EcmYIdcwCkM5QAAAIDD6JQDQdApBwAA\ndMoBAACAMMBQjpBDHxB2yAX8kQnYIRdwCkM5AAAA4DA65UAQdMoBAACdcgAAACAMMJQj5NAHhB1y\nAX9kAnaKbl6WAAAgAElEQVTIBZzCUA4AAAA4jE45EASdcgAAQKccAAAACAMM5Qg59AFhh1zAH5mA\nHXIBpzCUAwAAAA6jUw4EQaccAADQKQcAAADCAEM5Qg59QNghF/BHJmCHXMApDOUAAACAw+iUA0HQ\nKQcAAHTKAQAAgDDAUI6QQx8QdsgF/JEJ2CEXcApDOQAAAOAwOuVAEHTKAQAAnXIAAAAgDDCUI+TQ\nB4QdcgF/ZAJ2yAWcwlAOAAAAOIxOORAEnXIAAECnHAAAAAgDDOUIOfQBYYdcwB+ZgB1yAacwlAMA\nAAAOo1MOBEGnHAAA0CkHAAAAwgBDOUIOfUDYIRfwRyZgh1zAKQzlAAAAgMPolANB0CkHAAB0ygEA\nAIAwwFCOkEMfEHbIBfyRCdghF3BKDacXAFQFZ2sqAAAAzqBTDuhCuuN0ygEACBd0ygEAAIAwwFCO\nkEMfEHbIBfyRCdghF3AKQzkAAADgMDrlgOiUAwCA0tEpBwAAAMIAQzlCDn1A2CEX8EcmYIdcwCkM\n5QAAAIDD6JQDolMOAABKR6ccAAAACAMM5Qg59AFhh1zAH5mAHXIReizLCvpVVdRwegEAAABA5Sq9\nclpV0CkHRKccAKq6YK9ocs5FMKX/N14q63+zL8bMySvlAACgmijtRRKg+qNTjpBDHxB2yAX8kQnY\nIRdwCkM5AAAA4DA65YDolANAVRfsPM05F8FUl045r5QDAAAADmMoR8ihDwg75AL+yATskAs4haEc\nAAAAcBidckB0ygGgqqNTjgtFpxwAAABAmTCUI+TQB4QdcgF/ZAJ2yAWcwr/oWQGaN2+j48dPB2yP\niJCyshYqNTXVgVUBAACguqBTXgEiIiJ15sxOSZE+22Njh+m11x5X9+7dnVkYyoxOOQBUbXTKcaGq\nS6ecV8orTLL8h3KXK9qZpQAAAKBaoVOOkEMfEHbIBfyRidBmWVbQr9KQCzilSg3l//3vf3XnnXfq\nsssuU1RUlJo3b65f//rXKigocHppqEZyc3OdXgKqIHIBf2QiHJhSvkpHLuCUKlNf+fTTT5WamqqD\nBw+qX79+atOmjbZu3arp06dr9erV2rx5sxISEpxeJqoBnsTBDrmAPzJRNQV7FftiIBdwSpV5pXzU\nqFE6ePCgZsyYoaVLl+qJJ57Q2rVr9etf/1p79uzRI4884vQSAQDARVG+V7eBUFAlhvJPP/1Ua9as\nUfPmzTV69GiffZMmTVJ0dLRefvllHT9+3KEVojrJz893egmogsgF/JEJ2CEXcEqVGMrXrVsnSerZ\ns2fAvpiYGN1www0qKirSO++8c7GXBgAAAFS6KjGU79mzR5J0+eWX2+5v1aqVJOnjjz++aGtC9ZWU\nlOT0ElAFkQv4IxOwQy7glCrxRs/CwkJJUlxcnO1+z3befAEAAPw5/eZQVA3VPQdVYiiv7ixLqlOn\nn/z/8FBc/J4zCwpz9AFhh1zAH5kIJaX9y8vlRy6qu4rLwsVWJYZyzyvhnlfM/Xm2x8fHB+yrKs+K\njhxZZbu9R48eF3klkKQFCxZcwLVKy1J5t1edXMLXheUCoYxMVFUVdT6+sPM0uajOqu9/s6vEUN6m\nTRtJP3TL/Xm65P6dc2P4iCQAAABUf5apApPtvn37lJycrObNm+uTTz7xecZy9OhRNWrUSJZl6Ztv\nvlGtWrUcXCkAAABQ8arEp6+0aNFCPXv2VF5enmbOnOmzb8KECTp+/LiGDRvGQA4AAICQVCVeKZfO\nvlqempqqb775Rn379lWbNm20detWrV+/Xq1bt9aWLVtUt25dp5cJAAAAVDjHXylfu3atbrnlFqWm\npuq7775TVFSU3njjDU2dOlV5eXkaM2aM3nnnHdWtW1dbtmxRZmamEhISFB0drfbt22v69Ok6c+ZM\nqbe/YMECderUSbGxsYqPj1daWppWrlx5ER8hLoQnFw0bNlRUVJQaN26sjIwMvfHGG95j8vPz5XK5\nSv269dZbS719clF9zJ8/P+jP2eVyqUaNwLfHcL4IbeXNBeeL8GGM0eLFi5WWlqbGjRsrOjpaLVu2\n1ODBg0v9Rwg5X4S28mTCyXOFo6+UP/TQQ5o6daoSExPVq1cv1atXT99884127NihHj166Mknn/Qe\nu3z5cg0YMEDR0dEaMmSIEhIStGLFCu3Zs0cDBw7UkiVLAm5/3LhxmjZtmhITEzVw4ECVlJRo0aJF\nOnz4sGbMmKHRo0dfzIeLMiprLvLz89WiRQulpKSoX79+AbfTtm1b9e/fP2A7uahe3nvvPS1fvtx2\n38aNG5Wdna0+ffpoxYoV3u2cL0JfeXPB+SJ83H333XrxxRdVr1499evXT/Xq1dPHH3+sFStW6PTp\n01q4cKF+8YtfeI/nfBH6ypMJR88VxiFz5841lmWZkSNHmlOnTgXsP3dbYWGhqV+/vomKijLbt2/3\nbi8uLjapqanGsiyzaNEin+tv3rzZWJZlWrVqZQoKCrzb8/PzzaWXXmqioqJMfn5+JTwy/BjlyUVe\nXp732LIiF6HlZz/7mbEsy/zv//6vdxvnC9jlgvNFeMjPzzeWZZlGjRqZgwcP+uxbt26dsSzLtGjR\nwruN80XoK28mnDxXODKUFxcXm/r165ukpCTbwcvf3/72N2NZlhkxYkTAvuzsbGNZlunWrZvP9mHD\nhhnLssz8+fMDrvPoo48ay7LMhAkTLvQhoBKUNxcX8otDLkLHzp07jWVZJjEx0Zw5c8a7nfNFeCst\nF5wvwsO2bduMZVmmX79+tvtjY2NNnTp1vJc5X4S+8mbCyXOFI53yNWvW6NChQ+rfv78sy9LKlSv1\n1FNPafr06bZ9r+zsbElSRkZGwL6uXbuqVq1aysnJ0cmTJ32uY1mW7XV69eolSVq3bl1FPSRUgPLm\nwuOLL77QnDlz9MQTT2jOnDl6//33Sz2WXISOuXPnSpLuuusun49R5XwR3krLhQfni9DWtm1bNWzY\nUFu3btW3337rs2/jxo06duyYzz/qx/ki9JU3Ex6OnCvK/DSgAnmeNYwfP960bdvWWJbl89WtWzef\nPzFce+21xrIss2PHDtvbu+qqq4zL5TK7du0yxhhz7NgxY1mWzzOfcx08eNBYlmUaNmxY8Q8OF6y8\nufA8m7X7SktLM5999pnP7ZOL0HH8+HETHx9vIiMjzX//+1+ffZwvwlewXHC+CB9bt241rVq1Mj/5\nyU/M//t//8/87ne/M4MGDTJRUVHmxhtvZL4IQ+XJhJPnCkdeKf/mm28kSU8//bQiIiK0adMmHTt2\nTDt37lTPnj21ceNGDRo0yHt8YWGhLMtSXFyc7e3FxcXJGKPCwkLv8Z7tpR0vSQUFBRX2mPDjlTcX\ntWvX1qOPPqodO3aooKBABQUF2rBhg9LS0rR+/Xp1795dx48f9x5PLkLHkiVLVFhYqIyMDDVu3Nhn\nH+eL8BUsF5wvwke7du00YsQIFRcX669//aueeuopZWVlKTExUcOHD1e9evW8x3K+CA/lyYSj54of\n8cTjgt1zzz3GsixTq1Yts3//fp99x48fN4mJicayLPPOO+8YY4xp1aqVcblc5tNPP7W9Pc+bMTzH\nf/HFF95OoZ2TJ08ay7JMVFRUBT4q/FhlzUVOTk7Q2zl9+rT3jV7Tp0/3bicXocPzO//6668H7ON8\nEb6C5aI0nC9Cy6lTp7w5+M1vfmPy8vLMiRMnzI4dO8yNN95oLMsyDz30kPd4zhehr7yZKM3FOFc4\n8kp5fHy8JKlDhw5q2rSpz75atWrpxhtvlCT9+9//lhT4TNWfZ7vndj3PSsp6PKqGsuZi27ZtQW8n\nIiJCd999tyTp7bff9m4nF6Hhww8/VE5OjhITE5WZmRmwn/NFeDpfLkrD+SK0vPzyy8rJyVH//v01\ndepUJSUlKSoqSh06dNBrr72mxo0b65lnnlF+fr4kzhfhoKyZyMvLC3o7F+Nc4chQ3qZNG0mlL9Cz\n/cSJE5Kk1q1bS5L27NkTcOzp06eVl5enyMhItWjRQtLZPz1cdtllOnbsmA4cOBBwnY8//liSdPnl\nl//IR4KKVN5cBOP5U1RRUZF3G7kIDed7Ix/ni/B0vlwEw/kidLz77ruSpLS0tIB9tWrV0nXXXacz\nZ87oP//5jyTOF+GgrJnIzc09721V9rnCkaG8e/fusixLH330kYzNv130wQcfSJKaN2/uPV6SVq9e\nHXDsxo0bdeLECaWmpioyMtLnPowxttfx/KuQ6enpP/7BoMKUNxfBeD6txXMiPfc+yEX1VVxcrJde\nekk1atTQXXfdZXsM54vwU5ZcBMP5InRccsklkn54j5K/gwcP+hzH+SL0lTcTwVT6ueK8BZdK0rdv\nX2NZlnn22Wd9tr/55pvGsiyTkJBgjhw5Yowx5siRI6Z+/fqmZs2a5t133/Uee+LECXP99dcby7LM\n4sWLfW5ny5YtxrIsk5ycbL777jvv9ry8PJOQkGDbW4bzypOL7du3+3wOscdbb71latasaVwuV0D/\nnFxUbwsXLjSWZZmbb7651GM4X4SfsuSC80V4WLlypfeTLr744guffatWrTKWZZno6Ghz+PBhYwzn\ni3BQ3kw4ea5wbCj/73//a5o2bWosyzI9evQw48aNMwMGDDARERHmkksuMUuXLvU5ftmyZaZGjRom\nJibG3H333ebBBx80rVu3NpZlmcGDB9vex29+8xtv+X7MmDFm1KhR5tJLLzUul8vMnDnzYjxMlFN5\nctGtWzfTuHFjM2jQIDNmzBgzZswYk56ebizLMi6Xy0yZMsX2PshF9dW5c+cyvZGP80V4KUsuOF+E\nj1tuucX7EXXDhw83Dz30kLnpppu8P+vnn3/e53jOF6GvPJlw8lzh2FBuzNnPbrz//vtNs2bNzCWX\nXGLq169v+vfvb7Zt22Z7/ObNm01mZqapW7euqVWrlmnXrp157rnnbJ/ReMyfP99cd911pnbt2qZO\nnTrG7XablStXVtZDQgUoay7+9re/mT59+pikpCQTExNjatasaZo1a2aGDh1qNm3aFPQ+yEX189FH\nHxnLskzTpk2D/s57cL4ID2XNBeeL8PH999+bWbNmmdTUVFOnTh1To0YN06BBA3PTTTeZNWvW2F6H\n80VoK08mnDxXWMbYlHcBAAAAXDSOvNETAAAAwA8YygEAAACHMZQDAAAADmMoBwAAABzGUA4AAAA4\njKEcAAAAcBhDOQAAAOAwhnIAAADAYQzlqJKSkpLUvHlzp5eBcqpqP7f8/Hy5XC7vV61atZxeUljz\n/DxGjhzp9FJQRUycOFEul0sbN250eilVRlZWls95Ky0tzekl4SJhKMePtn37drlcLv3sZz+z3f/q\nq696Ty75+fkB+0+cOKGoqCjVrl1bp06dkiRZliXLsn702kaMGCGXy6XPPvvsR9/Wj+X5j4/nKyIi\nQnFxcUpKSlLv3r31pz/9SV9++aXTywzK7XbL5Sr9tFFRP7eKlpKSookTJ+oPf/iDd9s///lPuVwu\nDR061PY6f/zjH72DfElJScD+vLw8uVwutWzZstLW7VHVnuz8WGXNiP+TKpfLpejoaDVo0EDXX3+9\n7r//fm3atKmSV1t9ec5/wb4q+wnS/Pnz5XK5tGDBgkq9H0lav359wOOrXbu2LrvsMnXr1k0PPfSQ\ncnNzK30dP9ZVV12liRMnasKECZLK/vuC6q+G0wtA9dexY0fVrVtXO3bs0NGjRxUbG+uzf+3atd6T\nSnZ2tu68806f/Zs3b9bJkyfVs2dPRUZGeo+rKFXthOZ2u+V2uyVJRUVF+vLLL7V582a98cYbmjBh\ngiZOnKjf/va3zi4yiGDfz4r8uVWklJQUPfrooz7b0tPT5XK5tGHDBtvreHJ78uRJbd68Wenp6QH7\nJennP/955SzaT1XL8YVo0qSJdu/erbi4uHJdLz4+XmPGjJEknT59WocPH1Zubq5mzZqlmTNnqmfP\nnlq4cKF+8pOfVMayq71+/fopJSXFdl9p2yvaxcxvUlKSRowYIUk6efKkDh48qO3bt2vq1KmaOnWq\nbrvtNs2ZM0e1a9e+aGsqjyuuuMJ7vpo0aZLDq8HFxFCOH82yLLndbr322mvasGGD+vTp47M/Oztb\nbrdbO3futB3KPYNc9+7dvdsq8lVBY4yMMRV2ez+W2+0OGBAlaenSpbrnnns0fvx4SarSg3lpqtOr\nuXXr1lW7du2Um5urDz74QG3btvXuKykpUU5Ojm655RYtW7ZM2dnZAUO5XW4RXI0aNXT55ZeX+3rx\n8fG2vzN5eXm666679K9//UsZGRnKyclRzZo1K2KpIaVfv3664447HF3DxTwHJyUl2eblvffe0x13\n3KFXXnlFhw8f1qpVqy7amoCyoL6CCuEZTPxfKc3Pz1d+fr569Oihbt26ad26dQHXtRtu7P5cf+6f\nQdetWye32606deooLi5Offr00e7du32Od7lcWrhwoaSzw6Lnz5n+t3v48GGNHz9eV1xxhaKjoxUf\nH68ePXpozZo1AWs9dw2rV6+W2+1WXFxc0EpHWfXv319ZWVmSpMmTJ+vAgQO292vHrnfoqcts2LBB\nr7zyin76058qJibG5/HPnz9fAwYMUIsWLRQdHa24uDh17txZf//7331uy1Mj2Lhxo4wxpfYdS6tZ\nlJSU6Mknn9TVV1+t2rVrKy4uTl27dtU//vGPgGPP7R3n5+dr6NChqlevnmrVqqXrrrtOK1euLMN3\ns2x69OghKTC3OTk5OnHihAYMGKCUlBTbvwCsW7dOLpfLZ1g/fvy4/vjHPyolJUUxMTGKjY1Vamqq\nFi1aZHv/CxYsUGpqqurXr69atWqpadOmysjI0JIlSyT98Of4zz77LKDK4V872L17t0aMGKHExETV\nrFlTDRs21C9+8Qvt3bs34H49tYa8vDzNmDFD7dq1U3R0tM/P8uOPP9Ydd9yhxo0bq2bNmmrcuLGG\nDx+uTz75JOD2jh49qscee0xt27ZVXFyc6tSpo+TkZA0dOlQ7duzwHlfRnfLmzZtr5cqVatOmjXJz\nczV79myf/evWrdM999yjK6+8UnFxcYqOjtbVV1+tyZMnB1SSxo8f73PO8Oep6d18883ebV9//bXG\njRun1q1bKyYmRnXr1lWbNm00cuRI5eXlVchjvNjKek7w8FTaTp06pcmTJ6t169aKiorSyJEj5Xa7\nvS/CjBw50ie//pVCY4yysrLUqVMn1a5dW5deeqluvfXWCq30tW/fXm+99Zbq16+v1atXa/ny5T77\nly1bpttvv12XX365YmJiFBMTo2uvvVYzZswIeFJx6623Bu3Ce+pxDzzwgHfbvn37dM899yg5OVnR\n0dG69NJL1a5dO9133306fPhwhT1OVF+8Uo4K4RlM/IcXz5/409PTVadOHS1dulS7du3SFVdcIUk6\ncuSI3n33XSUkJKhjx44+1y3tz52vv/66li9frszMTN1333368MMPtWrVKm3btk0fffSRLr30UknS\nhAkTtGzZMr333nsaM2aM4uPjJcn7v5K0f/9+ud1u7d+/X127dlVmZqaOHTum119/XRkZGZozZ47u\nvvvugDVkZWVp9erVyszM1KhRo7R///4L+bYFcLvd6ty5szZt2qSlS5dq1KhRZfqeBNv3zDPPaM2a\nNbr55pvVvXt3FRYWeveNGjVKbdu2ldvtVqNGjXTo0CGtWrVKw4YN0549ezR58mRJZ19VnjBhgubP\nn6/9+/dr4sSJ3ttISkoKuo6TJ0/qxhtv1MaNG3XFFVfol7/8pYqKipSVlaUhQ4YoNzdXU6ZMCVj3\n/v379dOf/lQtW7bU8OHD9e2332rx4sXq27ev3nrrLW8F6MdIT0/X1KlTtXbtWp//eJ6b2+3bt+v5\n55/XsWPHFBMTI0n68MMP9fXXX6t9+/bevBUUFCg9PV25ubm65pprdNddd+nMmTNavXq1brvtNn34\n4Yd67LHHvPfx8MMP68knn1SLFi00dOhQxcXF6csvv9S2bduUlZWlwYMHq3nz5powYYKee+45SdKv\nf/1r7/XPrR2sXr1a/fv31/fff6+bbrpJycnJ+vzzz7V06VKtXLlS69atU4cOHQIe/69+9Su9/fbb\n6tOnj/r06aOIiAhJ0rZt29SjRw8dO3ZMffv21ZVXXqldu3bp5Zdf1vLly/XWW2/p2muvlXR2mPK8\nSp2amqqMjAzVqFFDn3/+udavX6+uXbuW+Xf7QtSqVUvjxo3T3Xffrb///e/61a9+5d33pz/9SXv2\n7FFqaqpuuukmFRcXa9OmTZo4caLWr1+vt956y/uE+t5779XTTz+tuXPn2r6qPGfOHO9x0tknYDfc\ncIP27dunnj17qm/fvjLGKD8/XytWrNCgQYOq1V+OPMp6TvDXv39/vfvuu8rMzFT//v31k5/8RG63\nW3Xr1tXy5csDKjT+Faa//OUvWrFihfr27au0tDS98847Wrx4sd577z3l5ubqkksuqZDHV79+ff3P\n//yPHn/8cf39739X3759vfvGjx+viIgIXX/99WrcuLEKCwu1du1a/epXv9K2bdt8nrCNGjVKixcv\n1ty5c9W1a9eA+5kzZ44sy/Lm5auvvtJ1112no0ePqnfv3ho0aJCKi4u1b98+vfzyy7r//vuVkJBQ\nIY8R1ZgBKkijRo1MRESEOXjwoHfbbbfdZurUqWO+//5788EHHxjLssyf//xn7/4VK1YYy7LMgAED\nfG6rWbNmpnnz5j7b5s2bZyzLMpGRkSY7O9tn3/jx441lWeZPf/qTz/bhw4cby7LM/v37bdfcrVs3\nExERYRYvXuyzvaCgwKSkpJhatWqZr7/+OmANERER5s033yzDd+UHEyZMMJZlmUmTJgU97g9/+IOx\nLMuMGDEi4H4XLFhgex3LskxaWprt/cXExJjc3Fzb6+3bty9g28mTJ0337t1NZGSk+eKLL3z2devW\nzbhcrlLXbvdze+KJJ4xlWaZ3797m+++/927/5ptvTFJSkrEsy2zZssW7PS8vz1iWZSzLMpMnT/a5\nrTfffNNYlmUyMzNLXcO5PLc1cuRI2/1FRUUmMjLS1K1b12dtqamp5oorrjDGGPP6668by7LM66+/\n7t3//PPPG8uyzG9+8xvvNk/Wnn76aZ/7KC4uNhkZGcblcvn8HBISEkxiYqI5ceJEwLoOHTrkc9nu\n++px+PBhEx8fb+rXr2927drls++DDz4wMTExpmPHjj7bPWtt0qSJyc/P99l35swZ06ZNG+Nyucwr\nr7zis2/x4sXGsizTpk0bc+bMGWOMMTt37jSWZZn+/fvbru+7777z/v/z/Tz8eY4v7bF7fPrpp95z\nw7k/R7t8G/PD75j/732fPn2MZVnmgw8+8Nl+5MgRExMTY5o1a+Z93J5z19ixYwNu/9SpU+bo0aNl\neoyvvfaamTBhQpm/nnvuuTLdrjE//Jz79etX6u3t3r3b5zoXck6wLMu0b9/efPvttwHXPd+5y3Oe\niouLC/i+33bbbcayLLNkyZIyPd5169bZngv9rV271liWZZKSkny22z32M2fOeL+PW7du9dl39dVX\nm6ioqIDH7clj586dvds854znn38+4D6OHz9uex4wxv7cjtDFUI4KM2zYsIATaKNGjUzv3r29lxs0\naODzH+8xY8YYy7LMX/7yF5/bCjaUDxs2LOC+Pf/xHjRokM/2YEN5bm6usSzLDB482PbxLFu2LGBt\nnjWUNoAEU9ahfNasWd4h1v9+L2Qotxsazuef//ynsSzLLFy40Gf7hQzlycnJJiIiwuzZsyfg+L/9\n7W/Gsixz5513eredO4h5BqBzNW3a1NSvX79Mj6MsQ2CXLl2MZVnm3//+tzHGmKNHj5rIyEgzevRo\nY4wxhYWFpkaNGj7fx379+hnLssyqVauMMWeH6IiICNOpUyfb+/Bk7aGHHvJuu/TSS02LFi1MSUnJ\neR9HsKH8ueees/0d8vD8jn300UfebZ7fC7sBYdOmTcayLHPDDTfY3p7n+7Vx40ZjzA9D+W233Xbe\nx1FZQ/mJEyeMZVnG5XL5vChQmm+//dZYlmXuuusun+2rVq0ylmWZ+++/32f77NmzjWVZ5rHHHvNu\n8wzlDz/8cJkeS2lGjBjhfRJalq/zfS/O5fk5l/blcrnM8uXLy3Rbwc4JlmWZFStW2F6vrEP5H/7w\nh4B9niH7wQcfLNMayzqU79q1y1iWZWrXrl2m292+fXvAz98YY/7yl78Yy7LMM88847P9d7/7nbEs\ny7z00kvebTNmzDCWZZm5c+eW6T49GMrDC/UVVJj09HS9/PLLys7O1qBBg7Rr1y4dOHDAp6fqdrt9\nutrZ2dmyLKtcb5bz/Nn8XE2aNJEkfffdd2W+nZycHElnawfn1jE8Dh48KEnatWtXwL5OnTqV+X7K\ny/xfd7Gi/sQfbK2fffaZnnrqKa1du1aff/65Tpw44bP/x/Y5jx49qk8//VRNmjSxfYOfp/Zk9zFl\nKSkptt+DxMREbd269Uety38NmzZtUnZ2tq677jq9/fbbOn36tDe3derU0TXXXOOtZp05c0YbNmxQ\nZGSk98/W27Zt05kzZyTJNkuej/o8N0u/+MUvNGPGDF155ZUaPHiwunXrpp/97Gfl/mQST45zc3Nt\n79vTKT+3NuZhlw1PB9z/ja0eaWlp2rRpk3Jzc9WlSxddddVVSklJ0auvvqr9+/erb9++6ty5s669\n9lrvpylVNnNO3/fczBQVFWn69Ol67bXXtHfvXh07dszn2C+++MLndjIyMtS8eXO99NJLeuqpp7yf\naz937lxFRkb6VNncbrcaN26sJ598Ujt27FCvXr3UuXNnpaSklOs9JvPmzdO8efPK/ZjLY/78+WV+\no+eFnBMsy/rR58SKOq+XRWnn2G+//VZPP/20Vq1apX379un48eM++/3zMmzYMP32t7/V3LlzNXbs\nWElnf9fnz5+vhIQEDR482HvszTffrIcfflijR4/Wm2++qZ49e6pz58668sorK/SxoXpjKEeF8X+z\n5xeYoRIAAA5jSURBVLm9XI9u3bppyZIl+s9//qMmTZro/fffL3VgK825nXCPGjXORvn7778v8+18\n++23kqQ1a9bYvqlTOnvSLioqCtjesGHDMt9PeXn+o1e/fv0Kub3S1rpv3z516tRJBQUF6tq1qzIy\nMhQXF6eIiAjl5eVpwYIFtp/PXR6e/nqjRo2Crq2goCBgn93PWTr7s/YMwBWhe/fumjx5srKzs/Xb\n3/7W+1GI5z6Z7Natm6ZOnarDhw9r3759KigoUOfOnb0fqebJ0rZt27Rt2zbb+/HP0rPPPqsWLVpo\n3rx5evLJJ/Xkk0+qRo0ayszM1DPPPFPmzz/33PcLL7xQ6jHlyfH5fmae7Z6fmcvlUnZ2tiZPnqys\nrCzvpwbFxsZq+PDh+uMf//j/27v3oCirPg7g311AWG6y0IKiIiwwIOHAgMhdkLACmQqQrBREHXMk\nEjFhGqcJyIZKiMJoEtMh0uEyEro4joC4IHFN1IDAUC47ijQqAlMDqVx+7x/M7su6uwgKonY+M4zj\n7nN/znM4z8N5vmfWo+ek14yamhr4fD6A8caRn58fLly4gOXLl+Pdd9+FQCCAhoYGiAhJSUkK5ZvD\n4WD79u34+OOPkZ+fj8jISFy8eBGXL19GcHCw3PHS09NDXV0dEhISUFRUhJKSEgDASy+9hKioKHzy\nySeyeul58SR1gomJyROte6bq9alQVscODAzAxcUFEokErq6uiIyMhKGhIdTV1dHf34/09HSFfdfV\n1cXGjRtx8OBBVFRUwNfXF0VFRbh16xZiY2Pl+sGbmZnht99+Q2JiIoqLi1FYWAhg/CHDnj178OGH\nH87oPjLPp+erxmCeaUuWLIFQKER7ezu6u7shFovB5/PlXjCTNtDPnTsHMzMzAHMXKSd9InngwAFE\nR0dPa97ZzNyVJtS4urrKPpM+eRsZGVGYXlmDdiJV25qWloa+vj6lT9Fyc3NnZLAP6TGemCQz0V9/\n/SU33Vxwc3MDj8dDdXU1hoeHIRaLsXz5crmXrvz8/JCSkgKxWIzOzk4A8uVWuv27d+9GamrqlNbL\n5XIRExODmJgY3LlzB1VVVcjLy8Px48fR0tKClpaWKb3cJl13U1OTXKzjVCgrG49zzgwMDJCWloa0\ntDR0dHTg/PnzyMzMREZGBgYGBlQmmswU6TXj7Owsu1ZEIhEuXLiAzZs348iRIwr7oCr/eevWrUhI\nSEBmZiYiIyNlL3hu375dYdpFixbh8OHDAIDW1laIxWJ8//33+OyzzzA2NqbypciJTp48Oa0Bbfh8\nvtzLrDPpadQJzwJldezhw4chkUiQmJioEKdYW1uL9PR0pcuKiorCwYMHkZmZCV9fX9kLnu+//77C\ntLa2tsjLy8Po6CgaGxtRVlaG7777DjExMdDR0VGIC2b+e1ijnJlR/v7+OHToEMrKymRPDiaysbHB\nggULIBaLn0qjXJomoexJi7u7OwCgsrJy2o3y2SIWi1FTUwNtbW0EBwfLPpc+/VM2MmlDQ8Njrau9\nvR0cDgehoaEK36kaUEd6PIloSjcmenp6sLS0RGdnJ9rb22FlZSX3vfSX48PpHE+ThoYGvL29UVpa\nilOnTqGpqUkuiQUAPD09oa6urrJR7urq+kRDhQsEAgQHByM4OBi9vb0oLy9HS0uL7IZWTU1N6Q0Z\nMF6OCwsLUVlZOe1GuTLSc1FeXq604fqoc2ZpaQlLS0u89957EAgEKCoqeuJtmszQ0BC+/vprAONd\ngqSk0Y0hISEK86gq3wBgZGSEsLAwHDt2DDU1NcjNzYVQKMSrr7466XbY2dnBzs4Ob731FszMzCAS\niabUKBeJRNNq7Jqbm89ao/xx6oRHmawOngu3b9+WNZyVlZfp7ru9vT28vLxw4sQJ1NfXo6ysDD4+\nPrCxsVE5j5qaGpycnODk5AQPDw+sWrUKIpGINcoZllPOzCzpk/BvvvkGAwMDCtnZwHif1F9//RVn\nz56ddn/y6ZLG1SmLLHR2doa3tzcKCwtV9ulsbm6W9S2fTUSEwsJChIWFgcPhICkpSW50QhcXF3C5\nXOTk5Mj18ezr60N8fPxjrdPCwgJEpJAdX1JSInv69zAjIyMQ0bQiILds2QIiQlxcnFy3k97eXuzb\ntw8cDmfOfxlJy21SUhLGxsYUyq2uri5cXFxQWlqK6upq6OjowM3NTfa9QCDAhg0b0NDQgM8//1xp\n95qOjg5IJBIAkI0S+rDh4WH09fWBw+FAW1tb9rmRkRFu376Ne/fuKcyzefNmGBgYICkpSWnXmbGx\nMVRUVEzpOADjNyA2NjaoqqrCL7/8IvddQUEBqqqqYGNjAy8vLwDj2ePSG5WJ+vr6cP/+fVm/7NnQ\n1dWFtWvXoq2tDU5OTnJPs6VxhA+X787OzkcOzCWNIl2/fj0GBwexbds2hWlaW1tx69Ythc+lf2GY\neP4mk5WVhbGxsSn/KDvWM+Vx6oRHmawOftoaGxuxZs0a3L17F4GBgXID3akqL5cvX8YXX3wx6XKj\noqLw4MEDrFu3DsD/YzMnunTpklwcrdR0ywvzYmNPypkZJW3cNDc3y/1/otWrVyM3NxddXV2wtbVV\n2Xd1Jvj7+yM1NRXbtm1DSEgI9PT0wOfz8cEHHwAAcnJy4Ofnh61bt+LAgQNYuXIlDAwM0N3djaam\nJrS0tKCurm7G+ncD45W+tNH277//oqenB9XV1ZBIJNDS0sJXX32Fjz76SG4e6UAwR48ehaOjIwID\nA/H333/jzJkz8PHxmdafv6WioqKQlZWFsLAwrFu3DgsXLsQff/yBkpISvP3228jPz1eYx9/fHwUF\nBQgJCUFAQAB4PB7Mzc2xceNGlevZs2cPzpw5A5FIBAcHBwQEBGBoaAjHjx9Hb28v4uPj4eHhMa1t\npxkeHVB6Y9jc3Aw1NTX4+PgoTLN69WokJycDgCyLe6KMjAxcu3YNn376KY4ePQpPT0+YmJigp6cH\nV65cQUNDA/Ly8mBubo6hoSF4e3vDysoKTk5OWLp0Ke7du4ezZ8/izz//xJtvvin3pM3f3x8NDQ14\n/fXX4e3tDU1NTTg6OiIoKAiGhoYoKChAcHAw3Nzc8Morr8DOzg4cDgc3btxAbW0t+vv7FV5am0x2\ndjbWrFmD9evXy7alra0NJ0+ehL6+vlx3lN9//x0hISFYuXIlbG1tYWpqijt37kAkEmF0dHRGRqbt\n7++XvcQ6MjKC/v5+NDY2oq6uDmNjYwgICEB2drbci6XSvPa0tDQ0NzfD0dER169fx+nTpxEUFKRy\nQCdgvEuTg4MDGhsbMW/ePKU3jaWlpYiLi4OHhwesra1hbGyM7u5uiEQiqKmpIS4u7on3e6acOHFC\nZWPewsICmzZtAvB4dQIw+fXo4eEBbW1tfPvtt7h7966s7/nOnTuhr6//hHumXFdXl6y8DA8Po7e3\nFxcvXsSlS5fA4XAQHh6uMNBUREQEUlJSsGvXLpSXl8PKygrXrl3D6dOnERoaOml5CQ0NhbGxMW7e\nvAmBQKD0rzM///wzDh06BC8vLwiFQvD5fHR0dODUqVPQ0tLCrl27ZvQYMM+pOcl8YV5oDg4OxOVy\nydjYWOn37e3tsjiu6OhopdOYm5srRH/99NNPxOVypxULSESUlpZGy5YtI01NTaWRYv/88w8lJyeT\ns7Mz6erqEo/HI6FQSEFBQfTjjz/S4ODglLdhMomJibL9lv6rp6dH5ubmtHbtWtq/fz/19PSonP/+\n/fsUFxdHixcvpnnz5pG1tTV9+eWXNDIyonTfExMTicvl0vnz51Uus6amhvz8/IjP55Oenh55e3uT\nSCSiiooKpfGNo6OjtHfvXhIKhaShoaGwXmXnjWg8qzs5OZns7e2Jx+ORvr4+eXt7U15ensK0j4rN\n8/X1nTSWcTrLkhobGyNDQ0Picrnk4uKidJqysjLZeUtNTVU6zYMHDygjI4M8PDxo/vz5pKmpSUuX\nLiV/f39KT0+X5RkPDw/T/v37KSAggMzMzEhLS4uMjY3J3d2dMjMzaXh4WG65g4ODtGPHDlq8eDGp\nq6sTl8tV2CeJRELR0dFkbW1NWlpaNH/+fFq2bBlFREQoxN5FRkYSl8tVmd9PRNTW1kbh4eG0cOFC\n0tDQIFNTUwoPD6erV6/KTdfd3U179+4lT09PWrBgAWlqatKSJUsoMDCQiouL5aZ93EhE6TXD4XBI\nS0uLTExMyN3dnXbu3EnV1dUq579x4wZt2LCBFi1aRDwej+zt7SklJUXlNTNRenr6pJGpV65cod27\nd9OKFStIIBCQpqYmWVhYUFhYGNXW1k5p/2abNG5x4vF7+OfhYzDdOmEq12NxcTG5u7uTrq6ubHuk\nZW+yemq65UW6jRP3l8fjkampKfn4+FB8fDw1NjaqnL+1tZXeeOMNMjY2Jh0dHVqxYgUdOXKEJBLJ\nI7cjNjZWIfZ0ovr6etqxYwc5ODiQoaEh8Xg8sra2pi1btlBLS4vK5bJIxP8WDtEMP3JiGIZ5Rkgk\nEgiFQmzatGnWY+eYF0tERASOHTuGc+fOKe2GxzATrVq1CjU1NWhra5tyctJUcLlc+Pr6KoyWzbyY\nWJ9yhmFeeNnZ2eByubPav5l5cVy/fh35+fmws7NjDXLmkerr61FVVYXXXnttRhrkBQUF4HK508q7\nZ14MrE85wzAvLD6fj4SEBFlSzPOWG808XTk5Obh69Sry8vIwMjKCffv2zfUmMc+wH374ATdv3kRW\nVhbU1NRUxmxO18svvyw3EJi5ufmMLJd59rHuKwzDMAyD8Zd5KysrYWZmhtjYWIVoTIaZyMLCAt3d\n3bC0tERiYiLeeeedud4k5jnHGuUMwzAMwzAMM8dYhyWGYRiGYRiGmWOsUc4wDMMwDMMwc4w1yhmG\nYRiGYRhmjrFGOcMwDMMwDMPMMdYoZxiGYRiGYZg5xhrlDMMwDMMwDDPH/gfPxBNOpWlGVQAAAABJ\nRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0xab5ee42c>"
]
}
],
"prompt_number": 11
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": []
}
],
"metadata": {}
}
]
}
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