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@fjaviersanchez
Last active October 30, 2018 08:53
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Notebook to check the stellar density in the DC2 area
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\n",
"Before starting the notebook make sure to ```setup lsst_sims```\n"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"import matplotlib.pyplot as plt\n",
"%matplotlib inline\n",
"import lsst.sims.maf.db as db\n",
"import lsst.sims.maf.metrics as metrics\n",
"import lsst.sims.maf.slicers as slicers\n",
"import lsst.sims.maf.metricBundles as metricBundles\n",
"import lsst.sims.maf.maps as maps"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"import healpy as hp\n",
"import numpy"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"opsdb = db.OpsimDatabase('../Downloads/minion_1016_sqlite.db')\n",
"outDir = 'starMap_test'\n",
"resultsDb = db.ResultsDb(outDir=outDir)"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Healpix slicer using NSIDE=64, approximate resolution 54.967783 arcminutes\n"
]
}
],
"source": [
"bundleList = []\n",
"sql = 'night < %i' % (365.25*10.0)\n",
"slicer = slicers.HealpixSlicer(nside=64, useCache=False)\n",
"metric = metrics.StarDensityMetric(rmagLimit=27.5,metricName='rmag=30')\n",
"mafMap = maps.StellarDensityMap()\n",
"plotDict = {'colorMin':0.001, 'colorMax':.1, 'logScale':True}\n",
"bundle = metricBundles.MetricBundle(metric,slicer,sql, mapsList=[mafMap], plotDict=plotDict)\n",
"bundleList.append(bundle)\n",
"bundleDict = metricBundles.makeBundlesDictFromList(bundleList)"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Querying database with constraint night < 3652\n",
"Found 2447931 visits\n",
"Running: ['opsim_rmageq30_night_lt_3652_HEAL']\n",
"Completed metric generation.\n",
"Running reduce methods.\n",
"Running summary statistics.\n",
"Completed.\n",
"Plotting figures with night < 3652 constraint now.\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"/Users/javiers/anaconda/envs/lsst/opt/lsst/sims_maf/python/lsst/sims/maf/utils/mafUtils.py:60: UserWarning: Optimal bin calculation tried to make 4403 bins, returning 200\n",
" warnings.warn('Optimal bin calculation tried to make %.0f bins, returning %i'%(nbins, nbinMax))\n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"monopole: 0.02672 dipole: lon: -98.1426, lat: -1.33615, amp: 0.0447271\n",
"Plotting complete.\n"
]
},
{
"data": {
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B9+7dz5jI0XbfjY2NZGRkIITo1PsiWv5vf/sbs2bNii0M2hV9+vRJSLhEw3MK\nIRLSfKNxGhLpw4EDBygqKuK2227rsqyu69TU1CQ06GYWn8+XsItgVVUVS5cu5dFHH+2ybFcDplHi\nj6krF0Qw/JonTpzY5TmOz//oo48YNWpUp+ac+AG+cDhMIBDo1FyVmZnZ5T0UfdnU1tbywQcfsG7d\nOvbt28f777/f6RdkipRN2RRr167lV7/6FSUlJUyZMoWhQ4d2+oDs2LEDl8uVsP9teXk5n3/+easg\nNV1RUVFBbm5up/3QdZ1QKGTKxrd48WKuvfbahG3eZpBSEgwGz4vN8XzYlOH89llKyZtvvsnMmTNN\nrd3n9/u7nJVYXV19Rozszjhy5Ah79+7ljjvuSKh8dDHamTNndnpuqqur2bRpE/v27aNv3758+OGH\nXHHFFQm1cZFI+SnHcckJ5d27d/PrX/+ajRs3MnXqVEaMGJGQRnjy5EkcDkenrmjQeqJIVz6sUkqO\nHj3KgAEDErYz7t69m7KyMm6++eaEyifSjyjRlZ+vuuqqhPd9PjlfQjkZ6urqKC0tTWhla7P+33V1\ndbz77rs8+uijCd8HFRUVOJ3OTgcB2/alsy87MITyoUOHGDJkSEL9qKur4+WXX0bXdW666SY++OCD\nS3Uqd2qg71Lk1KlTPPTQQzFXn6eeeoorr7yyw4cnHA7zxRdfxPxpe/bs2aVA3rRpE5s2bYqlu3ow\nQ6EQu3btMmVjHTFiRCxecmdIKWMDPokKiK5cxdpSXFxsqs7WrVtj/tjngy1btpjaf0VFBU1NTQmV\nVRQFv9+fcNkonQ26RcnKyuKhhx4y5SZ4/PjxhFwQo33x+/0sWLCgU1OFqqoMHTo01o99+/Z16g6Z\nlZXFr371Kx566CEOHjxIfn4+w4cPT7nSxaH+7ne/u9h9aMtA4L6L2YFgMMhzzz3H9773PRwOB/n5\n+RQUFMQ8Bb744guklDE/4Wg6Ozub6upqvv3229jKx52Vz8rKIjMzk2PHjiVcXlVVysvLUVW10/K6\nriOlxOVysWbNGhRF6XL/TU1NrFq1isrKyg7bb5t2uVwcOHAgofKZmZmsWrWK8vLyhI+3srKSgwcP\nJtT/rKwstm/fTn19fauY0p2Vr66uZv/+/V2ez/j97927N6H99+jRg169enW6v7bpkpISFi1aRG5u\nbpflo+sNrl69mubm5tgCrx2VHzFiBLm5uQn3Jzc3l379+sViXyTS/8bGRvbs2YPVau20vMfj4YYb\nbiAcDrM2HLQMAAAgAElEQVR161ZeeuklioqKuOWWW9p5Ii8KbwJHL0bDKaHchlWrVjFnzhy2bt3K\nXXfdxYgRI0hPTycrKyv2meXxeGJpn8+Hz+ejT58+2Gw2evXq1Wl5MDTw/Px8PB4PNputy/I2m40N\nGzYwePBgVFU9I7+9tKZprF27NraGXlfls7KyyM3NZfDgwWRkZHRZPhqAKNH+RNPDhw/v8njj0z16\n9EioP9H09u3bGTlyJAUFBQmV7969O5mZmQnvP7roaaLlo2m32x3ziOisfEZGBn369CEnJyfh/dfW\n1nL8+PHYqjCJ9KekpISGhobYfdhReafTGUvv378/di06Kp+dnU12dnZMAB8/fpyCgoIOy/fp04fB\ngwcjhGD58uX89a9/5dZbb+3yC/MCcNGEcsqmHKGqqoqnn36ajz/+mJtvvrnL2W1RTp48yYEDB7jp\nppsSbmvLli3069cv4VFoKSXFxcWtVk1OtN75WvG4pKSE9evXc88995yX/SfLpWRTjlJUVMTmzZv5\n0Y9+dN7aMHutox4tnYVbbbv/L7/8kvHjxyccfrWiooJdu3YxY8aMhMo3NzfzwgsvIITgjjvuYNGi\nRQnVO0+kBvriuKBCOTo99rHHHuPKK6/kxhtv7HLgQdM0pJSmZm8lEtymLe3FOe6K6upqcnJyTD2g\nq1atorCw0PRouJn+1dXVcfToUcaOHZvw/g8cOIDFYknYxQzMC+VQKMTq1atNDYJWV1dz/Pjx2GKx\nXaHrOrqum75f3nrrLe68805Tsynr6upIS0sz1VY4HEZVVVP3TDL3czAYTGhQr6ioiGXLlpGfn8+k\nSZN45ZVXTLVzjkgN9F0MTp06xe23387TTz/N3XffzcyZMxO6ab766qt2Y9t2xltvvUVFRUXC5TVN\nY8GCBbS0tCRcR0rJJ598YnpgbNy4cbGFVc1g5oUhpTTtTpaWlnbeV2S2WCzk5uaamsxisVhMCT1F\nUUyVB8MsNGPGDNOLAnz11VcJDebFs3Llyi5jZ7RlyZIlCcWkjhIIBHj55ZcTGqDu168fTz75JI2N\njbz66qsdhh+9XPm71ZSXLVvG448/zuDBg5kyZYrpmAUWi8WUC1NTUxNpaWmm+uj1ek0/lOfTZAGG\n1rdt2zbGjh17TkJtnmsuRfNFlLKyMjRNO699S+b6+3w+7Ha7qevZ3NyM2+021VYgEDD9Yi4tLeXD\nDz+kV69erFmz5kLamlOa8oXC6/Xy4x//mAcffJDZs2czderUhATyN998Q01NDWAMvCVyA1dUVMTc\n4xIVyD6fL+YelKhAji61BGeuMtIZ+/btM72SRyAQoLm5+bwK/suV6KCwWfbs2ZNQWFBoff0Tbcvp\ndJoKPwrGYF20rfLy8oS+NKICWUrJ+vXrE/oKLCgoYP78+YRCIXJycpg3b15C/fsu83cllA8ePMi4\nceNYt24dTzzxhCmNxW63mxZE69evp6qqylSdlStXcvjwYVN1jhw5wieffGKqDhiDm2a/lJxOZ6s4\nCImwe/fuVstPJYLX6+Xjjz82VSdZjh49yo4dO0zV8fl8vPPOO6bO38CBA5NaXaWpqcm0MC8vL2fJ\nkiWm6ui6zhtvvEFjY6Opesnc52ZMQDabjbvuuotp06bxzjvvMH369Mvar/nvxnzxwQcfMH/+fCZM\nmMDVV1+dUJ1kBjPOlmQGXaL1zNotLxR1dXVomhbzq00Ev99PcXFxzM0rUZIxX1RXVxMIBGIxjBNB\nSsmxY8fo16/fJWnGgeTuiWQGl88WM89ZQ0MDS5YsobGxkS1btpi+P0yQMl+cLzRN4ze/+Q3z5s3j\njjvuSFggg7GYZUlJian2iouLqa2tNdvN2Cwui8WSlGnA7Mh+Mnz88cemzwcYs7jMCGQwAjidxweu\nFd26dTMlkMEwEwwYMMC0QJZSsmjRItPaKJi/bsm8pOMFciIzC+ORUrJr1y5Tg6ZSSl577bWEFhwA\nyMjI4IEHHgBg8uTJPPXUU6b6+F3gshbKzc3N3HHHHSxevJjHH3/c9IM3e/Zs04MytbW1ph+4EydO\n8N5775mqA4Yrm1lTBxieICdPnjRd75prrjEVMCfFmQghmDp1alJeJclcN03TePPNN02PHRQVFbF0\n6VLTbZWXl5sKASCE4Ic//KGpl7bdbueZZ57h2muvZeHChZ0uGPxd5LI1X5w6dYpbb70VXde59dZb\nE9YaGhoacLlcF/wTLpmR6draWpxOp6nYuWCYBpKxkSfDmjVryMzMNB2waP369RQUFJh+KSbrfbFs\n2TJuuukm0yusvPTSS8yfP/+CmI58Pp/paw3Gs9C9e3dT11tKSSgUuuDBgmpqakwtfFBcXMyrr77K\nuHHj2LJly7nsSsp8cS7Zv38/EydOJDMzkzlz5ph6YDZt2sTRo+ZmV7a0tLQb9Lsr4l+IyYSEzM7O\nTuohdTgcpgVyooF12jJx4sSkBrcKCwsTnm12Lhg2bJhpwWqxWLjnnnuSGneQUpo+p8lca4AePXqY\nvt5CiJhATkZxa2pqYv/+/abqaJrG0qVLTfnm9+3bl3vvvZcjR45w/fXXXxYDgJedUN6xYwc33XQT\nV111FVOmTDF9M86YMcO0LdPn8yVlI/z44485duyY6XqHDx82deNGOXHihOlRcjDWdFu4cGFSN7zD\n4TDtaw3Git5dhZg8lwwcODCpF2NWVpape2zAw0WMf6CEfe7VLK7dwvZ5ncdDbkt0EdlkrsX+/ftN\nr+AS9cgwu6xTMBikrq7OVB1VVZk3b55p086gQYN45JFHOHz4MAMHDjwvq9RcSC4robxp0yZmzZrF\nlClTGD16dML1vF5vTFgl80nfrVs3Jk6caLrepEmTkgoif+LEiU4HYQ6kPcDO/Pv5emTrlUtqamqS\nCoOZmZnJ/PnzTZ+bZAcUv2uYOc6jf+1H97CdH8+5gs3/42puUb411ZaiKJSUlJgOmQqGm5xZ27Ki\nKMyaNcv0CzInJ6fLNSXbI3qPaZpmamaix+Ph/vvvp6SkhOHDh3+n773LRihv2LCB22+/nWnTpjFs\n2DBTdU+ePMnevXtNt1lcXHxWb+X4yFkAGWsVMr5ykvGljYx1mWRs7EXaln54tl2Bc+co7HuvwfLt\ntdzY519Ia7mfwMk5Z+xzV979VBd6qS9oIOjxsX7YXXz+g8Gsvy+Xyt88xqBBg1g/7K5Wdaqbf0RT\n9fdbbdNKZrVKJ+P2tWHDBr788kvT9RobG00PMp0thw8fbhXXOlF8Ph9//OMfE9ZcBzxcxEG7j966\nB4DBQZWxDybu0aIoCrfeemtStt6pU6cmNSMuLy/vrMYfzMbQBmNsJxoyNFFcLhe//OUvCYfDjBkz\nxpQXyKXEZSGUd+7cyR133MGMGTOSWmJm4MCB3Hjjjabr7du3LymzxebNm8+wJ2aslaBYQWqg2EF1\ngzAuj2YxbImaUNGFiow8IH6HlZqmuzgVuo9TodPRTgOZzYRcfvS0033z1vYDXxprr56D1Xf6sp8K\n3Udaow9Xi5dQ6WwAlEM3oIaNh6ixsTFhd6W2XHvttUl9QdjtdkaNGpVUm8kSjR1sFqfTyVNPPZWw\n0Dr6134oCH7ryeCAXk31tkYytAv7GCZrd927d29sVqsZDhw4YNqUkZ2dzZ133mn6ZWC327nnnnuo\nr68nPz//O6kxf+eF8qFDh7jlllu44YYbTEUTA0ytZNwes2fPNu1/G50SfcbgkLADiiGYIzdi2OpG\nKlaEHkazuvlg6//lYNUOgnYnXreTgNOKrgrCFqjPVlg/5C5q+tciPQ2IbobrlLfXSfx73Rz+Xy9i\nbXKTfiqNzHILJeI+SsR9pNV5cXibQEoULQxHb0INh7D7vbFzdGxVFemb+5KxsRcZ6xPXtOIHi8xg\nt9vp27ev6XpnQ2ZmZixIvFnMHuOBhX15MHQSX32IN1/dwxUB89rr0aNHWbdunel6UkpeeeUV0zZi\nMO7dRFf0jufmm28+K1fKhoaGhKd/g3E95syZQ319Pdddd13S7V4svtNCubKykqlTpzJ27FiGDx9O\nTU0NCxYsiOV3lg6HwyxfvpyXX345ofLx6eiUVzPtOVaX41tezGvP/YWbwyPIXqcT/LiGhf/1Chlf\nWkCoVAW8/GHb/wM1Dd3ioNJXyx83/J6QIxMpBKOGz+WLXa8QtFsJOK1UN5Wy5G9343MJ/B6dhsaD\n7HjmAXA0I5QQvlPF7H7sp1idGRROuBtlZy3r/2Uu1hB4GkOIw9+y6N17sXsbSas7SXPVIV75+HFs\nvhocjccJrHGxfsUmpvedigg3U9VSyR+2/N8zji/tCx8Za+UZ57eioiLh83Ou0pWVlRe0vQULFsSW\n0TJT/7BNUhHyU3TK0CAfndtI3yl7WbL0RW65t6zL+t26dSMvL890f1955RXmzp1LRkaG6ePt1asX\nH330UdLnq6qqKqnnbfv27RQXF5tqLycnh4ceeoitW7deSquZJMR31k85EAgwdepUFEWJrT+naRqB\nQCA22n8+0rW1tbzzzjvMnz8/1g+Xy4V9VQneqb2RK4/gtjoAgSYhqElcFisIBW/IiyKcuK1OLGoG\nmg5+KXFbbKA40VDwYcVtdRG2ZxBCwSc11MzuAPhtdhrxo2bmErJbaHJqtNBM81AbukUj4G4grBbj\n7qETbOiOUp2J1tSCS+2Bp9qBoy6MWtdItu7B7gth9bUgGypIV12oYS8Emgg1HcYiK7FbeqIJB36s\nuG0eEApauAV/qAW31Qm6Dy3spSVUT7o9G0330XC9PXY+ioqK2LBhA9/73vdMn+/9+/fjdDoZMmSI\n6evzyiuvMGvWLPr06WPq+mqaxqJFi/j+978fG/1PtP6pU6fYunUrc+fONdVf8XApLS/k4HK5eHJu\nC4eVWoKNGplZDpYt6n5B7udk0tEvAyGEqfqbNm2iqamJ6dOnX7D+VlRU8MYbbzBkyBC2b9+OCVJB\n7uPoUihLKWNvwblz55oahNJ1HU3TzmpySHxMAfuqMwdphIhGwwojhAWBQKLwX9sX8cTIH5LlKgAU\nkAFQHKDYkZZMhB5Aqk6kohK2paErVkJ2N3XBBppVibv7IIIOCwGHimYxzBZBh6CmTwuBjBZkVgU2\ndzXhkBu9qg9WrwNLnYqn2YOnHjLqQkghyKjzomhh7L4WpKLgbKrC2ngAzd0f1VtKIFiE3dKT40EN\nXSj09fQ07NvhJsO8EmoAIZBaM7oMAAqKsNJ4oxXX53WoivFQhLUWfNPMf5rX1NS0WpPPDGcTuvPo\n0aNJxbI4m3CpwWCQ/fv389K/DqJFCVGvGmMNyxZ1T6h+sjFPwuEw5eXlSXn/LF26lEGDBpkeUNc0\nDUVRzmrQMNFA+fF89tlnbN68mSeeeIIXXngh0WqpySNmePHFF/nss8/43ve+Z/oBOnz4MCtWrDir\n9t1rjM/L9gQygJQBpAwiIqdXEXZUYeUXY/+BDHsmyBDIIKgeEDZQ3QipIVUnumIlbPUghQWpWNEs\nFk42FrGvZDW6KtAsKgGHwOsR1PYMUz60Bn/PU0i3MagX9GeilA5EDVqxN7goevUP1H/0Nj2OG65Q\nGXVePPXV2AI+pKLgrivF2lKC1AOo/kqwZmPNmAy2HJoCDTR7K0FrMQSy7osIZBX0ABIdXYYAnbDe\niOvzGgQquu5DyhCKUHB/bt4FLycnJymBfLYkE8sCknOjjKKqKidPnmSrvQqbrtArZIR4ve7+48y6\nt4wJD3S8MrSmaTz//PNJeQC1tLSwadOmpAb9Zs+ebVogA0kF2oqnoqIiqSWiZsyYwezZs1m8eDH/\n+I//mHT7F4rvnKa8c+dOpk+fzt13321qOmY8Zt+29lUlNARa+KpsD7f1n9BF6dMDeAIFRXEiZRBV\nSUMIFUXYDe8KFFCdhoATNnSLA80S0TBtaUghCNvsBO1OQlYrfpeNkM2C16PidwpassL4MgL4u1eC\nzYc9vZxw2IlW1Rd7XRpCF2SedOOpDuGs94HLjbMlQHp9PYquYwkGcDUcw9+8CYdtANjyDaEbbgZL\nOshwxBskcn9oTcZ/PYSUAYSwossAirCh6YaNXdNbUIQdiUadrxqPzUZoRmHC5/lccLGC3Ee9aRwO\nc5NBogx4uIgmReH2hizeyahneouTE1Yfbl1Qp+psf63985jM9PyLTUlJCSdPnkzKMycZTTnKhx9+\nSE1NDcXFxYm8fFOaciI0Nzdz1113MWXKlKQFMnQ9Wh6vAUd/21UrV2R19aknAA1FWI0/xY4irOyv\nLaPW34winCAshqBTrCB1pGp4WCB1pKKi2TxoFgshuyPmZdGS7iBks+B3KgQcgrANNIskkNkMioYj\n8wS6bkFr6oa93kN6uZv0CheZ1TrOoIIDK6qmoYZ1QlZDaFiCzQTcvXA4R4GwQqjaeEHY8w2BrPsg\nVGf815rQw/WgB9ClDynDhLVGpAwR1hoQGNqPEBYkIaSUvLz3IzQ9jGN1OfZVJyJ/JdhXleBc3fms\nwrfffjupGYtny1dffWV6in183YMHDybd9tG/9qNPCBrVIPc05FCn+hnhyyRNs5EX7tg8cbEEspSS\nLVu2JKWlZ2Zmmg4OFuVsYnFMnz6dEydOMHPmzKT3cSH4TgnlX//61zidTq688krTdffu3ZvQXPz2\nBDKAw2JjcBdCWRF2iAgoVUlDEU4UYacp6EXGn2ohYoJZ6CHDZGEzZkyFLVY0i5WAw4XP5WD9jr9Q\npzcQtEcFssCXHiLkDCOdLeBoJhRMI1TfE/upHvT41oOuGtptY91xdN1wYXI1BbCGQqh6GKHraFY3\nSN3Q1lU3qGmGKSVsuEoVNZSxt7rNbDNhAWmYLCTRyQAKmvQT0qrR9JbI4Ql+MfYerKoFKQNAvBO/\nii47d2+aMGFC0hrn2TBkyJCkXbdmzJiRtG+11+tl/fr1AHh0K3Wqn/8ZvJ5t7jqa1CAWqTD8oeIO\n6zc0NCQ1ww9g+/btSbmGCiEIhUKmw3uCEX7zbL5k/H4/y5cvNz05xO12M3/+fDZs2MAzzzyTdPvn\nm++MUF6/fj0ffPABs2bN6rpwO+Tl5cW066jG1paOBHJjsCsfScNkIaWGIpwIYUPTW5AyCChc1/ta\n8tzdwZppCEJLOqguQ8iho1ldSMVKyO4hbLWhqRZCVitSSmzOTBRPOj6XIGQXNOb6ac5vxJdXi/DU\n4/BUorVkga6CkDTm6FiCCnavYPun/4aveA+2gPHAqloYNRzCGgpgDdSjaAF0iwvQjReF7oNwI4Tr\nUWUAiyCiNQdQFAdInbBu2KYFKiGtFomGpjcCEoGCpjej6Y0Rm7o1UtaCEFFt77Qzf0c2+cLCwgu+\nuAAY94jZdRTPBVarFSEE3UM2vEqYLM3Bc5YN/Gf5j6iyaFikgt6JKfazzz5r5QpoBrfbnXSEu8mT\nJ5/V+QqFQqb8j6PY7fakJvoAdO/enXHjxrF8+fJLdmLJd8KmHAgEGD16NFdeeWVSAwxtaSsMAtML\nOxQQvnCAl/Z8zE9GzUFtxw4VFTwyog1a1UzCejNWJQNdhlAU4/NSUdyGMNZ8oDqRqgfd4kAqFiQC\nzepCV234XR6Cdge6ouBz2/G5LTSnKwSdEl96iLBdw9e7DMI2HPmH8HtzIOBCNGXhKc/E2WjF0SJw\ntui4msM4WwK4WpoIW+3YAj5sAR9K2IcabEFIQ4tWgnXGTEIZRA/Xo1jzTtuQhQWp+9BliLDeiCoc\nEU3ZMNOAYgzscVpTawx6sSkWHBZbq/MUXwYMLxVDk25NYHryduiLZVOW0vDTNjuZqCOenNvCp+mV\nHFBd3Nek4Bdhli/qcU72fanw9ddfY7VamTChq3Gac0s4HObZZ59l5MiRnS1TlrIpd8YLL7zAgAED\nGDp0qOm6fr8f+cnhmHbclYbcFqfFzk9H39GOQDZUF0kYRTGmQauKG10GsKqG58DJlgbeO/w5ipJG\n7FSrbuMPImaLNDSri4ArHb/LQ8DhRApB0GFBsyj4nQLNKvB7woScIUIuPwTcOLp/i//kcJSKApzH\n++CoS8MSVFDDCmpY4moO4/AGsQf8qKEQnvpKbAEfSB2btwJFCyB0DSXcbAhkIUBYEMIGWhNShtD0\nZsLhWnQZiAzq2dFlIObmJ1CNL4I2wnZH5RH21BS32ta2DNCuQK7zN7H0xTc6vB7nk8OHD/P1118n\nVVdKyZIlS86J9vXkXMMMNKsxj6uDPta5WmhRwox9sISxD5aQ86j51V/OF6WlpUmvpTh58uSzEshS\nyqRmJlosFubMmUNRUVFSC9meby55oVxbW8u//du/0bdv36TcaYrf38gXpbvOqg9Kp+3KSBkrquKK\nuYQJYSHflcvkXhOMQT3VERnYMzRiqVqRqhWhawgpjb+IjSxot1IdqOKTj54m6BD4PSGCrhCBzGbC\n3SoR2WUEfNlgb0FaNHRrGEejDZvXgjUg8TTqnDrxDXpLHULXsYaDoFgQWghFCxC2ZSBkCKH7DG+K\ncC16sAK0ZiRhqr3lrCz+AinDKMKKlDpShiPCORQxzWgxQQ2nfbMBru99JePyzccgAXBbHYy9Y2pS\ndc+W7t27J/XiByNQ0I9//OOkzS5lZWVs3boVgD+/czp05ZSWXJxInFIhTVPI1lRqFpz5JXHixImk\nTAFghCpYu3ZtUnVzc3MZN25cUnXPdm3DhoYG3n333aTc+kaNGkXPnj25/fbbz6oP54NLXig/++yz\nFBYWkpubm1D5ttrwqNz+3Nx3bFJtf1tbSpW34zexYbo47Xmg6V6EsEX+7NitHnp6uoMe4rQLnILQ\nNTTVgRQWdNVG0O7G70qjOSPd8LSwq6iZOQye+Q/oKgSdGmGXH+nwgq4idRVZ3RtLbQ4WrwNriyEQ\nLSFwN+pYQhpH9n6I31uLqoXRVBVNVREyjKIFUUNew7YtNdC8CNUT0fYjx4KP7u5sw14s/UhCKMIe\n0Y6VmH1Yl6HI5JH2td7o/sxgU63032+YVTr7gjkfpKWlnTPzg1lcLlerCG7xgnlWYx4nrCEWOTMo\nsYaYcd+ZIS0PHDiQlNYI0LNnz6QGz8FwAUz02WwPKSWbN29O6gsjMzOThx9+OGnf52nTprF27drY\n7NxLhUtz+eMIVVVVvPLKKzz88MOm68Y/0MletJaQnwx724DbApAxDdF4r+mowoWM05pDmh+rxQPW\nDMPTQnUaGjIKusXwLNBVG2GrjbDFsEtrFoWA3bgkoXQbbudQAq4wgYwWwh4vuOtRrX5k2UAsPjtS\nkTganDiajPrOFoklLFF0nVsm/SNC01B8zaiahiXQgBpsRlftiFANKE4I1Rs+00IBQoS0GhRhJd2e\nyQh7Fpr0IxDo0o+qeCICWCJk/GzIMx+m8pZa8lxZKGex2lTMFTHuOkZtzfZVJWdldz5fNDU1IYTA\n4/GYrpuVldXhhJlXMutQsTBM1qNEXnT33FXDordPu4VGpy4nQzL9bUuyMwujU7X9fn9S6xaezWSU\nbt264XK5kgrZej65pDXlF198kf79+3caYDveVhz/AOtS56sTe9Bk8jFVr84fRA9322nCMrJ/w0Yq\nUFGFK6IdqyjCilDT+aT4S9aXbQI9AEJFVyxIYUyfBtAsDqQQKHqYsNVO0KYSshk3dXOaoCVDpzkn\nQFP3RsLZNeBqQFFDaAE3atAQimrQgiWgYg0IXI3gbgrjavbjbvKhhoM4vE2o4RBK2IeMuuoFqgDF\nGMhTrOhaPeHgKcJaPcbMvGakDBtaf8SrRFXS0fTm2LEbZyHEaYF8+sHQpM47h81HL4uyt6aYdWXt\nL63V0ZjAuaKxsZElS5YkXX/Pnj0cOXLknPUnqi0/Up/FAbJ5p3YW74q+DAhkkaE7Yrbnc0Wyg/7h\ncJg//vGPSbvlTZkyJSmBHKW4uJji4uKk6j7wwAMcOXKEf/qnf0q6/XPNJSuUvV4vf/rTn5g0aVKH\nZTp7QEOahiZ1VHEuD1FEbKcqxiSR03ZUXRqDaBIddB+3DryFa3peQ3unWFfthtasCAJOD2GrhZDN\nQtCm0pKuUHtiN5v+GPd1ELahOJpxe06BZkFoCkJvvV9bEGz+MA5vgLKyrTTWHMUa9BrmimB7D6+C\nrjWi6z4MP2IdXTdMEB8dW0djoMXYJv0xE0WU9gbtoqhC4Sejb+/CDt8xfTx5DMkuSKru2eJ0Oju9\n37pi0qRJpla8acv69espKytrtS0qmG/UK7gh93NeaGpfEEsp2bVrV9KB3Q8dOsQHH3yQVF2LxcJP\nf/rTC77YcBRN05IeYO3WrRuFhYXs2LHjHPcqeS5Zofzee+8xduzYDm18XWlMdouVGwuSc+bXpWTx\nwS8Jaq1jxyrCCVJHVdxYlIzTvrdCiXgl2Iwy1mwUxYbFmhaJj2zEsdBVw1SgWeyRCSJugjY7IZsh\nlMM2QdgK7oEjufLJfyfsCBlmC08tTlcVgUAmSl0uQldQA1ZctQ4yKxVyT4VwN4Ww+4Ooepi6qkP4\nG8sRUqJoQQQ6llALQoYMU4XWaMTfMI4qcswhhDAeqkFZ/XDZ0tClMXW4fXtxPOfOrTLd7qKbs+ul\nhzryKT8brFZrUgF6zhW9e/c+w5QQ74nxk9p0fp7ZeiDxnrtquOm+UoQQnDx5MqnJHGAsQDp79uzk\nOg5nLZC3b9/Ot9+aWxoryoABAxgwYEDSbffv359PP/30kvFbvmSF8quvvnrGDdqZW9u5RCIZldsP\nm9r2RtNRFVdksoRx6ixqOoqwYVEyEZEVQxpbThESkZlykcG82B5UG0rEpCIVBU1VCTqMKdR+pyDg\n0vFnaoT72gnkGdORHa4apK4S9GVgb/CghqzYvSp2n4W0Bi0ifA1bsjXg55oBtzDYmYPQQ6hhn+Hh\noUVcf6QOigM94oesCCsSiUSL+R4PzszDkuSd0RLyU+dvSq6ySS7EvWCGYDCY9CQOMCbNZGRktNoW\nEK0VgztDFWx1nV4JJkN3xILk33zzzUmveG2z2c5qyraUMqn1H6P06NHjrALhnw1jxozB5XLxxBNP\nXErazlsAACAASURBVJT223JJCuWSkhJ27drVaml6Mw/foboyvi4zv+ZeFFUoDM3ug2g1Dqoaokv6\nsSgZSAyXMClDxGyqqguE4OuTW9l5aiMSgW5xoat2wlYPms1D2GLF68mITKe2EbYanhGaRRBwSUIO\njaASQAoJahhXr90gdEIhNzR1Q7OFsPgVLAEVd6Mh3C0hDUXXCVmtOFpqsHtr0ayeiEAOIaQGiu10\nTAupoShuNL3ZOA7dF4lsF0DTfUjCkdmI5jnRXM3WikNJn/t1J/exp7o46fpny8KFC5PWmBobG5Na\nk7AzKi2t3dyWWHqwyHrmJJJzYV+WUp6Vtrho0aIzljlLlB49eiS1fmCUuro6li9fnlRdVVUZP348\nu3adnevsueKSFMrLli3jtttu6zJEZkfkuzIZmNnzrPvRnu1UEfaImcKORclEVYxPbaG6IoN6NmYP\nup1xBYavrdA1pFANv2QEemSEOuRw4XPaCNlVfG6FsAXCVp0AXr56cgqyzcMRauiBpcmNErKghozL\nFnAIdFVBCoHdF8IeCFAfaGTXqW2RtkOGyUSGDQ1ZD4BuPDR6NKKb1BHCGpuZWNRwiq/L9iR9zgZn\n9WZG4dVJ1x+aVUCfNPMuVtF7RGkItEqb5aabbkp6RL9bt27MnTs3qbpgxJFeubL1JLLli3q0co97\nriFEVaAn/5515qSHWyaWnVVQpLVr17Jhw4ak6goh+PGPf3xRYpaA4UFyNrN9hw8fzrc79yY9WHku\nuSSF8scff0ztV9+y+viO2MNV629i9fHTxvjO0hl2N3bVmnD5+LQmdV7c9RFVvgZWH98RE1Z1AS+r\nj38T8UjQqfHV82nxF5H4FQo1/kY+Lf7aEICqm2pvNZ8e/QgpBFKxUBmoY9W3i9BUC5pioab5JBs3\n/4mgzYKmQlWwlH0r/4jMEEx6dRWBygpKX1uAqoQIBdPwl9Ry/I0F2LxWHC0WxJFSjn7wHEKX2Pxh\nGhpO8PU3L+FH0uirpK6plE+PrkANeZHCSk1zMZ8eW2msBSjDkf6uRaIhhIXaQDOfH99NtsND3/R8\nav9/9t48yrKrOvP8neEOb4gxIyPnTKVmCSHZQkjIxWgwUFAs2mAzGGNTtgF3rXKV267Gxm67sSnb\n1WUXrnZhXDYlyZgZAzYIYQMCIRCDBJrQkFKi1JDKOTKmF2+6956h/zjnvYhQZiIpMiVlr+W9VqzM\nFy9exHv3nrvvPt/+9vf1W2s6fif7eF1tlLGssabXf/OqfwQg/d6h+Pjzw+fn5+dXDUic6PH27duR\nUj7hnz+Vj2+//fahz+Rjn39o3zx/9oEgWpSpHnfuqQ8fAzyyb4EPXHPL0Mh3LX/fe8/zn//8p+3z\nPvbxRz7yEW699dY1vb7dbrN3794n/POPfZx/+yBLVY/Xnft8nulQ73nPe57p97AqHnrooWe9+93v\nfvMrtvw4UkjW1wPG5rzHef/UP66NsmNkM80kw3mYrk+gZB3nLR4V+Lcyw3kHaKbyHKEaOC9wCOpp\nk3YxT5o0sTjWTZyD0xlGSkqtGJ86B4Sg1NDLJY1NZ9JvSPr1girpUztjG2ZqCZu1yOr7aJy1kaKz\nDt9uoNqKdSPnUVsC3TeknT4b61sRHpKii+x32Tl5Ludk4xiZ4F3Fxvp6hOvjEDhnmK5PYW0LSDGu\nYFNjE9Z38PHzbx2ZZCxr4rxb0/GTQuDxaKmenvP1mMePLB3mnPEtjKZ1nIdNBz3JQ33k3jZ+tsvk\nRUETwzmHc27YSD5Vj8uypF6vh+P5JF8PDJPyY5+/9PwCYzxn75zktVWHptzHVC/jnJ2Bq2ytI000\nv/mO8/j+vema3r/3fjgIspbXl2WJ955ms7mm10spOf/880nTtb3/k3ks9yxwsDPPWNbg53/9HQAf\nAdam43qScdoJEv3O7/zOb3zlK1/5b6/Pnr2m1++e38/uhf38m52Xn/R7ESQIkeCxKJEP2RZhu69D\nYy+K1KPq4C13z+9h78KDvPyCNwNgsjGcDPrIJkmpkiBWX9QS+jVNry5oT3j6IxXFaJdCL6I3H2Jy\ndC8Sx3xnK2ZuG6rdZPTAGElfMTIPzZah0eqTlBXSW5KyQJcFquqRtffikhGkjbiwXYE3mhYIiXc9\nShvs4h+fXfHE4yuP3Ma2kfVrprVd99AtPHvqDLaPrK3p81c/+AKvOuO57BjdsEIEaQBH+McdOvnM\nZz7DS17ykjXjmx/+8Id5/etfP/SJO5WxEjfuCcM78p28IQmV5cybJK+5uo7Bsck0V0EeTyaqqloz\nk2Jubo7rr7+eN7zhDWt6/cnGoUOH+OY3v/mEIaTHQlx3HX2Y2448wK65vfAvgkTLcfPNN5+r9rXX\n/Podo9P8q01r0y9YjsBHljJDDHnOctlZw9uYkINKGqoeGmjARVMX8cpzXwcQJveEDJBF/PJCBMGh\nVNOvCXojYDJLMdrFjC7xyN/+GQc/eSPGa7q2ielOIPo1Rg6NoSpJvQVjcyXKhMqqShPSXhdlSqQz\n3L//Jo50DiGrxfD3I5wSRIdknN4D63ooUQ9WVbKJFDlCZHzt0TvYu3Rk1bF4MvFTOy49KZ7xZRvO\nYSofe/wffAKx3BPw8SvQyWrXH6Z2/WHqX5095jVXXnnlSU24vfWtbz2phPy5z32OpaXHZ6/UvMZU\ndTZXkmv2/xz3fmoDLVXwlY/todNZW5PWe8/73ve+NdPqJicnn7GEPPj7L33pS9f8+s2NSfYuHeGP\nrvzFU/iunnycdkn5oYceOndrc+36A5lKmMjXpvEqSPjsA99i9/z+qPMQKobBkIiSIzhfoVS0S8IF\nHrIrwriyXKYUeaFwKqPSKU5rnNKUWUK3GVxErCaYnyaOKnPYvIS0x/n/98+y7S1X0JBtiv44tCfD\nSLXwJIUiLTxpUZEWFdoYRhbnQQiE8+hyiU7Zpp+MYmobEbYKmLcNgyDYDt718G75onNDxoUH7zhn\nfAsT2cqk9PTupDbUJ6gnT4WbhkAITfaVR6JmRzWcWFwZmzdvPil3i5ONiy+++En9/T+aeQNnbP06\nv9Sf4axigqNzXYrKromNIYTgXe961zNqL3X11VevmVqXpukT2uGcqAk8njbomoL9naPHff7pitMu\nKS8sLGyZrp+aSunJxGCr+4odV7BjdHo4OKFEHS2bsWJ2Qb7SdQAZYAuhYwUaxqgfbu2ltAVeaqxO\ncDpUyEbrQH/TMn4JrAaXeKpGH1lpSHs08qOsa+zjaHcHtdsuRxhF0slJu5qs6xif7aMrS94rGFmY\nxUtJUhUI7/FC8dztL2ZrcxPS9MKwyCAhxwhmp8ud+0B9i7xpKraNrGckXXuld6gzT2Gf+Q72seGH\nMI0UGVJkWNeldv0Mza+1GfnaqZFwPHLkyJppYQA7d+48YVL8q79vrIIlPm7u58ytNzIuevxfcz9N\nheU3fvVKJsfXxlWGk9OSgPD5T8bK6/Wvf/1TYjTwWC2V4yVmpRQ7RzdQrXEq8lTFaZeUO53OhvFs\n7dvH/3HH5+lUT+yiECRIsUzhUbJJI9HkuoGSzeA3h8W6XsCWvUGIBCnSOKmnwpesYXUTrxK+/vCX\naYkEhMALiRMSq5IhH7lKJGUWBkX6DUuVWbx02FofnXZx3S4d0+CiDz6PpZ37qR0dozmX0liErO8p\nagl5r4OqSpySQ7lPgccLCd4hTR/hbKzmCSp1rgLvoyZyhXHzWN9lsLU/VbjyNw/czUKxdvjpHx74\nNgc7c6fkvayMoQuKyACH9xVCqOAruEIf5dprr+Xw4cPHvH7spkB9HP3uduq3PeuEf+c71+/nyK6L\nWDr6ulP7AWL80htWK8H92YJl7mP/gQ0bbqetVt8M11ItG2MwJqybrz/ntQB89+w3HfNzD2Rv5WH1\nVgBmuuH53sHXcuedd3L06NorzbGxMSa/M8HY10NqGrtxeVag8dUWIzf86HX6pS99iXvuWa2d8qMS\n8WNjPGsyfxLr91TEadfoU0qV733eLyRr1U6Y77cZyxrH1V5Y7X6x3PyJf3m5kRe3takOnWhjW9EE\ntQZYkHlQftPh5uF1uGCdSoO1k9BUWR2nNEUWqs4yC4MinZGMXkPQHQlee73JDl74ME49Msutr3kb\nl37yT0gXrsALz+iBUfKOIu17sr4n71lGFrqMzx2hSjLSfhunUgQeWXW5ec91PHf6kuD64aoArdil\nUNUD+JLKzmNdCyWbUWgoaHkAfPaBb/HSbT92HHW8pycOduaYyJqrXEueTKxs9B0/gsofCLQcRYgU\nP3BgEQk/vHCRHXdPkifNcMP1VXCMkTUWrwy8+dHvbscmdayuI7zF6ZwqyXHn3Yh9+BV4KamSFC8E\n/XpKUUupEtjOR1a9k5vPfDNXPPjxVd+78cYbOfPMM9m27Vhc/n9782EmbU7mV6uxWTx/MO74wwXF\nl7++hzO2jXPuWYGV8UQbfl/9mfN46afv569uvZnRZ1/O5ue/BlUmvPCOf+C7Z78JXUqSfsTkl0Ab\nSEqPNqCrKLXaq5DWkxiLLvuoM76EvP9FuPOe3EDN2Dfje3YFIMEbrGsjRPj7Sy85MbzSbrdJ03QV\nBPRkOOvX7vku1ju+e+i+Z6zRd9pJdyZJ0pZCHF/D8AnERH7iKnvlMIgUtVUGngKJsRXvu/3v+a3L\n3oKWoxi7gNZTKFkLFZaQoWGGhKQZ/nVFmJgjCA15ZBgUETJylAVOSqosqMCZBMpcUNYsZaPE5CXC\nShidoT56gBd84z/TXdyEX/SkS3XkCnO2ZqtEeM/Y3Az5/C6q9ZdgdYYyBXiH8I5272iomCEkFdcD\nPPgShKay8yiR44WJSndBI9nHpHzJ1E5qa0yIpyKOVeU7tRH6AxIfcWV8EddCgZQZ5+5ah5NxnXgb\nmrkycLvHvrMlHscwECS8RXgH3qFNhb3/hZiaxAmFkxJtHcJ7dGVwQvNI8vP065IyhzK3mNzwnXPe\nRH+8g2n0ob7I0lkNLr3jELe8rcnlf9vmwbf3mBZtmn+znpmkoOlSssfUUR8dn2dP9zJ6YjetdkG/\nMMd87kt/8RHmteOo1MyKhPRvNnLnv01YKicRwqFNn+tfdyFnv+pyKOrYwiCc5BuXvA7d95Q1i5eQ\ndhUmFcGUIRF44ZFWxl0b1DoFVgqk0vDIKxGqxD/4MrJeF6fCscl6CwhnEHh0Mc/ilQcBGPvOFr7o\nPkXj0SYv2vYTYac3KCZw8TyVjNxQsPSSjJGv9Vj6yRrNr3Wp7AxS5OT4KDdbDHeFTyYeWTpC+wnu\ntJ+qOO0q5UajceD3fvyNT5EZ2aBKGjR4BlNzCiUbeC9pm5LRJIv+c8sh1UjQIMaFC1XI2NgLjAaT\nNKh0jYcX9rB9w8VYnVKlGUWW41SomMpU0x6T9JrBb68Y7VFNzoG0pBP7GasdpNWfppjbTuPhbUgr\nqC+kZD2Q1tNc8tSX+kzMzAQFuDixJ22BKjt4qRDOomwfXBnobzLBlYeRsoHzPZwLyce5XtRLVvhV\n7tQnFwc7c0zloyTqmbnfn7hSHpz7EIFxEu2tUIBEysCsCY3cSKXT49G/0OCzDUEJUCq80PHmq4Kt\nV1bHSc3M0j7ykQ3IkdCsNokannurifomgqJusYnDJo6qXlA1e/hGC9IeKuuQ5fOMJnOkomRSttlC\nm/Mrw9YqYUc5fszn/kZjhswLruguN8l/9tE38J/O+wBOQO4E88oyryRzUrPfNzliJyhcDYegsjlF\nfwLbb0K/CTZBlCm6l6FKjbQa3ZeoSpIUEl0KdBUgtazvcQK0cfSOPkLSK5kY2UJSVegqwA2qqkAI\nkqoAZ5CuCk44rgpwm6/AO3rlEkJArtJYKUdoyYX1GXZ4o0P9GecLdNT69t5gXDtCUiUCjcesOu+P\nF7ccup997aPccuj+Z6xSPu2Ssta6t6O5fk2zmpUzzHQX2dxcd4KfWH1hhsehUhx+R6ghxhiae2LF\nzxIpZfH7IrzeCwlC4Dwcau1l48RZ4bGUAVdWAqskXoJVobpw2uO0w+sKlEGqCkGFNRp8DdnLEYAy\nEmFBOo8yHm0swjmkM7G5J4fVGhD+jwvwysB7z5WhasbFrbqMSVgiAhrNymbgycTh7gKTeZNEri0p\nH+kuMp41SNeY1Pe3Z1mXj/wI+COsgWVdkyDHJOJaONpbZCRtkOvBEpTx2A3OtxwuIy/DOvBi8K9g\ntn2Aej5Blo8GtF6AU1GJTwqcJOyelMfLkMy8cnjlQMUEoixSGpSokMKSYMmw1L0n9YKaO5ZHvKBK\nJDBqw+d+QAu2uBLtJT1pkQgqPEaEK6AvFNZLKjTOS5xXOKfxRoDX4ZrwArxE2vB/4UAM/iX8Imk9\nwoN04a332kcQ1tFsrEf4ARVRIJxD4MF7hHfxOReOq4/PuZXSAvE6Haxh7wlFlIhrOF67QuC9Hf6d\npbJN6QyT+UqlwSe+tpfKHkpIDnbm/gW+GESSJEs/ufWSNSVl6xx9W9JIjn15wA5Lwkc2EG3vfdze\nSJnH5Lw6QQ8rZj1KWEBm6CSCUFiVDS9WmzYwKgkXnVBUWRZ1kjVVKunXBf2mw0tP0Sgx9QLfXCCp\nLTCRH2ShWMed7/xrzv8v7yVbmKQ+nyGtIOt7khLq7ZK8VyCcI+8tRSeRFOkqPBJl+9x18BYuXHcu\nWkZWiA0CRM71A3UOifUdnLdIocL3kQx2DTfuv4vLN5z3jEEYR3stxtL6mivtzz94M8+ZPpsN9RMh\nYKE5u7rjICOsYZnrt2mmTXJVCz2GeJ5xARJwyRjSW6xMETicTHE6x+oE4Tw2SbAqwSqFUwqnBFWi\nsVrhpaBfCzdmk4BJPTYNMJZNK1zeZ+b666mfu4nxZ68jT1vkssOY6DEpemyyhqYVbK+a5O5YOt91\nI22y781wTnOCHVuXq+lFVdCTFUe0pRSeUgiOSk2LjL7X9FxO4Wv0yyb7PnkzujHOupf8KyhryCJF\nVRphFKpSSAuqUigLIq5NgLQPSWWR1qFNWEvKOJS1SGNQUQZX2Sok5TjYJLwPTKF4a5SuDInYlctw\n4SDp+ir4Rca16r1DyRrWdQlJ2lCYLtZbMqUBh5T1sBP0g4Qf7x4niDtnHmT2aVI5PFGcdklZCMFZ\n45s5tqp9kr/nOJb24fdnK6hR9fhvaByUzvHfb/s73nXZ29BqdAWexRBXBAfpNLgSHy2erK6FbazO\nEXh6tSZVllNmSZzeS2mPCHrNUCF1x8tg8TS2iBo/RF6bJVdTlHPn8hNf+DmyxQa10Qy5WZJ3JM1F\nR1p48m5Jvd2jsTSPm1RknVns7BdR0/8mQBhVhweO/oCzJs8nJYgjebMQbkZCxoXphgaoArUKVyce\n8R0j088Y/HDWSQpJ5TphS3PqRzT6BpOaQfXPe4OSjTgUZIaO5Eo2l62yBudeZrFyU1GSNafKJoYa\n2dI7+rXGUHiqSlKKPMUpgUkUZaro1wVVKnAKeiMWpx390QKblZhmF10fI5luUjsTGs2D1GSXMb3I\nJtHiTNuj4WBnmbLzOBDGNycK7JE2F66b5tKLN/G62dfw2XXXMqt63JO3OZDmSGCbK9kkBDMiY87X\n6fqUth2lZ5qMXHYZrqhDZwKEA5uguxl4EaCMSpH2VIQxFKryJGX4UgbynkE6R9o3pEWJlwLpHDrS\nNpMi4LXSlijTR3gb9ineIl3F1x/8IsIZXrLjxQSHnDbDQmnAJhIycO59NTT0BbCui1Y7w/p2RUzq\nDoSMFMgBG8WeMD989dE7OPIjfDmfjjjtKHHGmFjmPtmEHLeYDF49sGt6DDYcE7CWY0iR4Hx3eFJT\nmfKrF//sEFtcNRAis8BJViNBaU2m0dIpwAdehsrl/tYDWEGgv0XxemkdSUApKOsmiNfXC2gsIPAo\nYShcjaw+B8IjbUiIygikBWkh65fISH9zSpH2Wwg8eXpWEN6vOlDN8aqzXkUqZcC/vUHIaNaKxLjW\nqsaH891IEVs+bmePbz6phHywM3eMOcDpFFLkeKqIQYbzLhB4X8bv9yKEVQVc2QZHmVC9FcH9W9YY\nXDqh2WewSlPplLmjP8SsoPQpa5HW4yMbSFkQPkAYSSGx2iONQjiJKFOa555HNrUe7yXWphivKb2m\nQ8q81BxVkiVlj9FZBniWbdH+6efx8RduAeDD6z9LTxhuarRJEEjhmfc1lqSiEJIcQ4YhFxU12SFT\nPbQO5rw4FRZe2sPkJQiPS0yA3CSoSiKcD7AFUKWCMhccXXyIbvsIyloEHhcdq1VVIc3q9+xkglX5\ncNLUqYwrtr+UK7a+KDCcXC8yYMo4oJWEL9uLjjkBfBooNwqRDIsNJetIkSDj9RswaDvc+R7Lwgpx\n3sRWLp0+ew0r69TFaZeUrbV59aQvagFYvHf82a2foRwOL6jh8wPnaed6SJHjfOAgKzkaT6pGSsVk\nfRvO9YbDIggRqG++jIlZ4VUjyHHKeIKlwqQ1jE741j0fozQ9dGXQlUVXlm5T0W0GXnJZN1T1PmQd\nkmwJuYJbWsychZjzWFfilEdaQVp4Vu5UdVWgyx5O1xC2wmebSYrj8HoHU3u+HNo8HRsqYtGnrq9w\n4767aB3XfuqJxVPFU4awS3K+H9dC+MxaNjGuFdTyUHz6h1/hUCcorTHA5213+easQs1gdX15ZF3X\n0Sacx1t++DkOdQ+GbXnEXL0kYqirwyQOZQbeiQnSHAtJGJ9gvaLvNYuPg9O/trWe57tjOdavba3n\nys4Uz+uXzLkmM9TprphmNAP3GQRVy+MrBWkvYtzxUEiPzSpcYuIUqsVqqDKBSQTSga48D+++ngNz\n91OlYYpVusAKKmv1ONkaYB0vQ7NcV21EbOJJ06OmEup6sDOpheOuGjEZ95flAgAhNEqN4nxwW0/U\nJNc9dBO3H7lvOF8wvHmKbCizG0JwvN14q+wyehLDU6ciTrukXKvVZh5L3h7ADCcKJcMEkBCCt1/0\nyoCnEk7aYOuiVeCkyljlCKGHW9bgHpIhRYqzSyjZAJHFgQu7YoEkeJmBd7iYkBESLzTSWqos500/\n9d9I8nHKLB1O7xkNRd1hMofJy2B8alKsycmzeVpHLqDb3oAocu743V+hc/BhvACrPVZB1nco46h3\nuigXFqWsuphsDK8STDpGv/1t0KPcevB7LPSODMXsERola+FzyuaQaYB3AVNn9Q3wuodu4XB37Q4S\nbzrvRUzV1j6R+bxN5z9mzPvUxaAyXlklBfaFRqCQIuN5Gy9gLJVh6jFOauJNrJh9gITkckITzqDL\nJaQtSUzJqy/7j2xd/yyEtQi7Als1jqRyKONj5Rydz61AWInTFqctD73/L+nufQiQOJdQmRrGBy1u\n4yV9IVmSjq48fuFSfOwo7mC4qTVcQm0Fp3lPIngFezlg1rHJFRgkWoRSt2NHMS5l17v/J937vowc\nOQpJP0AYgEsMqkhQZYrwUNUsZc1iEodJBTYekme9+H/n7O0voNHuoKuCMkso0wyrU6xOMEk6pIua\nNKfKJ7C6/piKOcKGIk7NIgPjSY/GpqtEysaQX67V+HAd/9T2F3DB5M5w3GUDKRKUyIPDji8BiZLN\n2Oj1cRUsD5Hta89RP05P6umM0y4pN5vNwyuTspKjcSx4eZshxEryuMC61vCgjmVNtKwNf977AiE0\nxrXDdkYkw+QkUKR6CuvaQw2Iv9t1HXsWD4c7s8qX79Q4gtdewI59tIqyuo6XiirLEc5Fz70EpwRF\nntKvKUwisImjrFfYNHxRWyLNWtRVm8b6H+KqHJ8WPOd9H6F2zjac8uQdQd6LC8d7lKmG20Gnc6QN\nSUZXHfJkJ/iKXtXDuirin0WgcnkT2igiwfou1rXCNNuqSiEcr4vW7WAkWfuY7snGpsbkmgdHnlis\nrEYj80KooR7G9tGzqOl6oAq6InJlB6P0CrwZ+h56oZAuULm8ELhYwSVVgVehsaeNGVbJAxEpGVkM\n0olw482qyGoQrHvhi0gnJwhGtgqt+2SyTyYME77CxfNUHge+AFhY7PN/zEvuzo8VW3pFu8G4FbzF\nPciUdWx1BQ1KPIJRPU8me1z61/+W8SsvQek+Iikg64I2eG0weYmTywwJpx1WO7zweBFMF0wiqFLN\n0Q2TzK0fp8ySsGa9w0odhmyUChIEQmGSDK8zhLdYXecDN/8XDrQP4VTOYHBkgOEvY8oqQHIq4P7O\n95CihseQKUk9GUWQoGQ4j9b3V1XNg1gJ3QVZBcW+9hG61akZuV9rnHZJeePGjQ8eaM8DIk6cha3k\nSufoUPEsbz+EyOLFlUW+sRjeJUV01yD8xmUxGiGjFVLg6goRcKifOfc17Bw/M1TGg7u0jSfUG7xM\ngq6FypeHNAAVt6+tuUeYa++nX0+pUkGRC6oMdKHQhUaVCa7RQdVaKN2nrrpBeMgpqFKSbi189YP4\nkLSQFhW1bg9lDGm/h5MaJ3VIyt7RX7op+gEmPH/rlayrbwwV3ZD+Fihf1nUDVEMyPA7LN7uQOHaM\nbjgpQaCjvcUnPOb+zMRqRxcfm54DzvKgCUqEr7yvouhUFHcavG4lSwcfGDBScPjoffiig7QG4TxF\nvvoGIy04GalkcTBIWIlNDE5bRp91Cbo5jrca7xXOK6xXlF5RCEEhBB3pT1gp/8pbLmXr5lF+/9Ff\nPua5CZtzZlHjzKLGWWXKhHWsdyXOC6xXaGEQ0pIknfCVdmJDowPK4PICm1WBLaJDIh7cWLqjAcp4\n9OFv0a0JjJY4KUlKg1OBHmp1uCGaJMWp8H9lgiuOcOHfn7v83Uw3N+Gjt6VLmsNzEXo8NQbGEkFs\nqxdkD3AI8lg128jKaEce8yhC6OHXIB8MNFAGk4KVK1BCcsWmE4/RPx1x2iXlCy+88P76pVsRIl3R\nlPIRwE8YVDoiMiOEyOLWJFSNd8w8wGcf+FpIOm5ZgCaRY/EkRBzYm2GDIEAcNcDTTFKUzpc1iCOW\n7JImLo7VegTKdHEqbGWrJGgle6XYM3sHB47cHS+65cZOWTeUzT7V2BJkHZTqM5HMULqEWi1WY9pR\ntgAAIABJREFUNdJTqS5itsfInEJ4aLb6KOPo5zXKvBa62T64U6uqg28H66Z+P3oSJuPDxogQCda1\nYod6oIrmgiTpkAZ3annq3zu8m0MngQl/8aHv8UjrWFz01EdIiFLUo3lshZI1PrrrOub688jYOBIi\nwFVh51EGWpZQYUAnVsBW5TiZIK3jhrs/RNt2cEqjbDWsjr0QUZAqNPm8COtCFxJdaHQ/DbCW9KBL\nZFKgdB9rU7q2SdtnzJMz5izrjKTuTowv94ThjLOP71e3yTQppeFAYphXkiWp2CRbbFNzaN+l3t1P\nrtt4L3FOwdI6RHs8cJalxdSKQN9LDFXNUOUWkwZs3BZ97rvpGqpUDPnZvUaGk3L4JfBIY/BCBPqg\nDkJeNhvFq4R6bQIlFILAmvBIvEiG1fEynDiQzQ3FCEgOdWf477f9NVLUsC5Uz0KkiDhSP4jQAKzF\nHWMav5dzuFuwvjbJ7337mlOwvtYep11SfvWrX7375ptvxjs7PJBKNlcIzGsGDSqBDviuK2JFXHLh\n5A5ee9YLg1awrAXcGLuiQk5QsoZWY0FgSGbxTks4ubKOs70IWRCx5DRURoMhDSFDoyJygQUepzQm\nyXj2ha/jwnNeGWhQqaDXEFSZo6o5XGIgb4MPfOjKp9RkQa+3DsoaSbvG4S9fy+7rPkCv6ePCDiOt\neb9H2u8hrUPYClV2oDhIFYXq8+x8wPHo7N3smrkX7zogdNwFyLgzCDzPcLzUMcwUgFsP/5A7Zh5c\n8/n712c896Robc/ZcDbra8fSvU59hITqfBfvLc4VGNfmRVufQyMJF3Vg4CTDxlKY6ARhA41QxO20\nMsu0wje9+E9ojGwOmLJzAb5wqxt9ysS/rTzSCaSNu5XKcu9v/5947/EuwTuNdxrjkzDcgQiYsvIY\ncezNtLVUcPXHbqPmNa1/+qUTfvLpqsnZRZ3tVUgAuTAs+Bq9Ay1ueOOHEMJTS1po3UdP7oP1+0Pj\nD5BGIY0KGHhiqDIHwlPULTRyXvgrV5HYQPmrknAzqrIw1Rj6K+E6GYTVCU4FV3ej0nCchAi6IrYK\nU5NS4ZIVTbpBIh6wM0RgZWwc2c7bL3pzpDQ2IlyZLZ+/GGG3qNBybMjicL7ie4fvZvJHyDQ8XXHa\nJeU3vvGNh/I8Z9fCEa6++9PhwPmKg+0jfGjXlyJon3GoO8+Hdv1TEAqSNQ51ZvnIfd8kU3VSVedg\n5wh/e8+1hG2N4GBnhmvu+UcEEiEyDrSPcM09/xj/quBAb4GrfvBh+qbLH377v7K/fZir7vifgcXg\nDYfnd3P1rX+Blwk2qXOgfZAPffs9OCHxCI4c3c2nv/TrOCnpNnMOtB7g+o+9M3Soc8vigXu4649+\nHaoMkXfpP3g/3/3lD7NgxvFe0b/9KHf/4W+w/YVv4rw3/yd6e+7nhr97B3m3JOuVzB2+l49+43fx\nQpD0Zzm0sIer7v4kee3ZgOJAd56rbv8rnDcYBAd7ba66KwjgCJFwqDPPNfF4eEx4/7v+aXjcD3Xm\n+Ltd17N9ZJptzanh48c+/1Q/HugpP31/X+FxHO4t8Xf3fpmN9Tq5bnKoc5Sr7v5EHFyAA+39XHXb\n/xjimgdae7n61v8XaUu8UBxafJgP3/T7ABidMDtzH5/82m8N/97skfv5579/J4Nc2tp3Hzd/4J3h\n/HjoPPQAd7/3XWz+6TcibEb7vke581f/EiENuewxs2uez73tC1RCYITnnh8e4Rf+/T8Mf/+9u2d4\nx29eS1mG9/to+o1jnh88rnnNPbuP8Edv/yoXlhUTzpDc9zC73nMtP/vln0eLiu7uvdz17/6CNFvE\n9+t0dj/Krt/+XWytT9Xs0dp3H3f+yX/AaUuVOVr77+NbH3zHMBnPHb6f6z/+zuHNaPbI/XzuC78W\nKmStOLj4MB+/4d1Ia3FCMXP0fv78S+/kht2fxiZ1Di0+xFW3/yXS9JCmy6H5B7jqtvcHNpRQHGgf\n4Kq7Pj5kYxzozHD1D66mkY2jkvUc7Mxw1d2fGLqyH+zM8KF7r4sTrJb97QNcfc8/xnH7Gkd6PW49\nfB/eH8uAebrjtBuzBl7xa7/2a/+8YcMG+tc+zFgWmnKF7dA1FeNZA5D0zSI9Y5nM1wMO4yXtcomx\nrA6kFBZK12Uk0UiRYJynY/qMZ6MIJKUr6RnJeG0cZI2qatGpeozXpihsHylzOqZgvLYehKQvFJ1y\niZGRrXiZUABLtsPIyCaMTii8Y0F0SKe2s+fRbzF65sV00hK/cz3CQbvWoi33kZ0t0PkSTf0Q3bmC\nbOM62nuuxNYfRd8+RWNsE435FNEpkEeOstlO0mh3cUWHsn2EyXQCVfWw5RJF5yATacC+K9OhU8wx\nnjbAdamsoV21Gc+CLkC3OkJhM8ayOta1qJyhWxVDNbhT9VgKQeUsI2ntKfn9j/f4Y/ffwKvOeC6b\nm+ue8OulyClsh75VjKUBzrAktMs2k/kkQjaoUMP14VUdY0uWTI/RkS0IW9FTGa2yRbfqsGH6Igph\nWbJdms3NVGlCQcW86JJMb6bMBH1R0raz6E3TmNTRV2361WH0lkl8WuDUDL6/n8a2nHqySK2aZ2Lx\nIOu35Gw3BduWHGrGc8nURgD6hWFuvsfmjYGJ9Bu5g7kW76uPH/f5Q6ZNa65gbHPGjC7Ya0seWDTY\nLRM86saZbzfozFnExA5M1cR2DdUhT7Z5DLpjiJbHzLdo1negC4UtC+Zv/gYbtl/OaLoe2eljFmcZ\naW5COUgWWnSqRcbz9aRFBf0O/e4s47V1KGOwVZdeZ5YRmZDqDGP6dIpF1iWBZ1/Zkk7ZZjI2gauq\nRadYYLy+AXBUps9cb4YNjWlwBZWXdIpFxvMm3jsqZ1gsDrEun0YITWE7tMslJvIJjG3Rs44/ueVD\nHJmbYWxsDP7FDmp1vOpVr+KLX/wiE/lAw8KR6xEmsuUtTCI141kzagKDFo7JPCiM3bT/+3xj/7cZ\nz0Yj3uzCz6fNoUZEpuqMr7AdSqRmvDYFQpAlIyTJKOO1dcOtT6JSxmvrEM7gpSJRKWP1KO2ZpLjG\nCI3RzXgJBx+8CVN0qU1sQheSomnxY5DtqCGzuPXNcqa3CqSwML0X6abIpqfRhaLfmsHjaYwt6zJp\nnTFWC3/PS0XuDaPNzbgoH5roRligMgGRkOgaY1l9OBhTT6YZz0Zi80+RSL1KnvNUPX5o8RD3zu5d\n8+u/uf9u7jr68FP2/o59LHC+T6YaTObr+Ju7Pk/lKhIhGc+WxdYTlTCeBi1mYRbQOmcyW5ZsTXRO\nKhNu2PUxAJSuMdrYgEk0Tgmo1WmObgwmt6UnI2W0vhlpJMIJtK6RTy6fb5mlZBsnh/CFrknSzePU\nnWXEecbSdJiQAfJMDxMuwIHqIt48ZU74/Ebd5NzpdehYGaZ5+NdFDHys0WdsS0azNkNWO4pMamTb\na1BGZk5DobdMYtOKqlaRqJylgz+ktxS0lFWSkU1tDkYOAnyjzkhzA9K5wMbIG4w2ln0Yla4xOroJ\nnY+BEKRSMdbY8JjrbxKnAz02SccZb24FHLiCXnGU//WDD+NjzykRlvHaBKENa9DCsb6+7M8Y8scI\nUtRQss4jrcNsba4fJORnNE7LpPyyl72MPXv2cLQ3O4QrQtNFh4MochIVErASdZQcCdoWeJSsc+Xm\ni/jXZ7w4KH7JBlqNDDnLg8kfEHEYJA1qagP6m/cga2EAIrqJuMh7dipbVgZTEqsTrFQoG0ZLB0L2\nl776d8k2bKXKguShsCCcBKvxTpGkS0wks4zLDtYneJNCuYyz3f7p99Dedz/SQb+e0quHRmJojCRI\nV2GTZhB3cXZ54ikK2d+w96ZYtQb2yLDRN+hirxBoWSnyD9Aqunzi/ienf7syLl5/Js/fsvbu9bPW\n7WDH6NpMU9cSSjbQcgKQWNfjFWc8Dy30cC0B4fiKNKwPV8RpSYdJGpHXEqy0mo1p3vSiPw7rYYVw\nvo/iVMKH5q/VYfqtyjxO+SGkMXvTjRz81GdCz8EHnrL3Cus1lUspvaIUEiOgwtN7DC3u09few+49\nocfwCXsvX/3z3+T3x1ezTR4b62yNDabGiJX80+98i3LXYTbIJSZlm0wEFo3Ao/MlhC4DGyPp47VB\nWInwAlVqqppj5xv+HY2zzqXMAz3OqtATGYSTETtOIgsjzXFSUaUZHd/HVmU0GW4Gw2GVBv6yD/RD\nBkJGcgWjRWiQNUbrW/jtK98dcP4VfSfwSNkIfSBfrbj+iTMLgRj5+T3f4OyJM5/M0nnK4rRMykmS\n8Ja3vAX9ik2R6pYOwfnQOc0jmD8SByPKwMWNjIpch4QtIx1uKGIuG8HwFMKF5YqQjJPxYScdoFd1\neP/Nf4xzJoyC6jpOZSEpCx1xsTR2kFPKNKPMEoT3UWwmGKIqI/DSY2olplZA2iPNWoykc0yJDks+\npyyaCG0gLcK0VGa54u3vZ8Omi3FyeUw3CNxojE5wuhYGGIQIMpKqEbC2OBqeqhTnejhfDnVlBSo6\nqOgVCmkDfuZy1JOMKzae9xSf4RPHZD7yNE5UCaxrD4dJlKyxvTlBoscRCIxtDS9gBjxXHeAAYbtB\nb8R0A50LGOgqV1mOE3KopayMQ7owQKJcZF1EYlFShMQmrGTkrGcxftlzEVUCTuGdQqqCTPZIZElD\nlBgh6AlBT3qMWK1+ppRE6+VL+vuv7vKHC4rvNH60E8h6U2faaH7/gy/j/AvHGaXEIbAoKp9SlqOY\nhU0IaaHWCjcNHUavq3ofUyvxwiGcwCU+aEWnYJKQkE0CZRp2DF4yrJatFDilEc7xg93X8Y3dfx8+\nh7VI0xuOXltdj0qMYegkNNt1HH2vGNDlFGW4nlV9RYM2CFBJ2QhrP8rtLk/yJhRWslC0+K+fe/+a\nV9KpjNMyKQO87W1v45prrsE5Fys8P7zLWddDywE0YWLiCZV04JmWlK5k79LBaPmTBKK5d6Fbm0wu\nDwOYdkjOkavokwlqOuO3X/j/QBIFi2wZqHBSBe6kUgjnMEmGU3o4uVfUwh3cSXj4ho/SUYtUuaFs\n9vC1DiQFQjja1Tgdn1IXJUqVeKMR/RrCKNKupt4KAwZpCUlhMYmKBHxPUhXIqhv0k+M0oRgoaang\nXv2vtl5JI6khCHh6gHjCBRwcHE5sIa+lYufYxhM+/3hROcOjSzNrfv3TG5EF4Qo8lsouIITC2MXA\nXZZZ/Bm5PHLtTbz5JZGzngw1rRe7M8x3DkZzA4mTCq/UMcMjwoNwHmUkJgkDGC4xZNPT1LfvxCdV\nnKSTOJvgkVivsEjqztITEiM8XbnatfqnX3UBZ+5YVsdTZTjPV3Z+tBFxhWVrOcLmSrPZCKZdxXrR\nYYOaY1TNY4sG6bq9eJdAbxSkRXaauFoPl5VU9T6Hb/kyrYWH8MKjqzjgpGLFrAMbw0kZjR4UXgiU\ntRitsUnKcy96M1de+vYwWKIUVZzqlK5iFXtCSEw2FmmKNVw2xaLxzHRno2u7X5YYgJicB0WICHom\nOLwvgtGB6/D9w3fzY9MXcckllzzhlfNUxmmblC+++GLOO+887ji6mwE32WMiJDGgrTyW6pIg1SgC\nTadsc+O+W+LP+DgiK5f96ojqX7q5/HuimwQwNJAcWDw5GWALAGktXkYd48Hfdg7hfHAVyQV936Zw\nbUytCM4iKyLRPY6YdRyoNtLrTKOyDj7v4fXyVnNm3524WIENxIikC04XTqXDicLlNxAF93E42wo3\nIcJuQT3OmPqpjNIabth355pff8/sI9y47wen8B09XqjhKP5C0eYj930ZIBQCPur9DoSpBvZacdR+\nZXipeWTuPu498N1AXXTHwgZWS5wAo8Gkwclc+MiXtsfyjoWsEMJj4qh032vmxBMf7PnkmR/jbfXH\n94tIUOx+YJal1mqNFIvkaHcHCEeWLdAceRTRXBjS4wYhjaIoZrG+wGqPSRxlHrQxjhdBg9ljtEZ6\n8IQd50rTVmUqhAuF0MBVZyBtMKiivUwQzrJ/8QHuOPx9lh3m4/lSj6W3eQZOMqFqbuC84sZ9N/PC\nLZc97nF6uuK0TcoA73rXu/iBfhAvNKhRpBwhHPQkVsABI9Z6arg98baLEAmTjTP4hWf/YhyRTWKF\nMxgCMGG7PxCDT8aDbm4cVnFJEy8Ee2Z3UfYXgsOHzhGuwimJSbMhhOEElFkynNwK2gZwzsvfQbJu\nCuEkLi+GAkQ66SG/+lrqqo1xKWm+gO2OgdWoftAVMIng7ps+SH/xMFbLocKYU5oqDRoBTiZRLNzg\nEZFgH05nzze5bs8Xh6pwzldY1406tCIoocV5/+Nxlb914F5uP7JnTeeskeT8wgUvW9NrAbaPrOei\ndWes+fVPNgbwF8Bouo4Xb/2xZUeSwUTnQCFOJrEaMyBTpOlHlUCLlwmXbP4JrrjgDVRZHuQrix7C\n2mANVdmwfRdhF6RLjzIiCMRbgXeO2979S7iBkpqPQjqREpfKirqoSLEkBLGjvjTYWO3f+J2HufZL\n96/6bD+36xe5MtvFX088vpbJZz+/iyN3dZk2mjHnmHCGKdFh28h9TEyEtVAU4yjdRSxO4ab3DUWL\nTF6y5aU/Q2PLWeGtR/618GB1uAlZLSgzQRUd3asIZwhr2XfgexRFCx9NIbyQOKmxOgtQnQpTtMK7\nMEwiE5zUCFchvOXC6Ut52TmvjzMFceJv8CVrw0SMngg5wBXDnPDBuz9JaQ1/ftvVp2A1nZo47fSU\nV8bLX/5ytNb84MjtXDwVhiPE0KonOhoIFQ647cFQqD5KLQ7I/96FQQ9vWNbHDckdmUe/NYOPd9aB\nAty9R+8lr61n/cjm0GyIU1tQhuQYJTtDFesoU0WZCcocbOqwqQmVcpXgqxxrcpztUH/5RxgRfWa8\npGxtgrKG6uUoI0gKhU3g+W99P2nPI5ZKrJaBRuT9cCx1aAUFodKrWsOtW0bButo6tByNQi0OrUbD\nQATBDisMkhzfAuqCyW0k8pnha448jQpdUtSxrhN0E3xw+tjSDBRISdBSCOsp4pfEgYW4foSQSFsE\nxT5XBRaGKamEoMpCA1V6G3oNccRYG4+roEoHbiQeqz1OWs765f9I4nMq0w8TdLGKDkpxEicETW8Y\ncw6JYso0GMj1T03UqWWrL+ePXfAhXrf3Z9AjM7yTH717+b3feBFLsmS/CLoz087iRIUTLZbEKFpU\n9Ox6pKpw04/gq9ggNimy0pi8JHESm9rQuPQCaYPSoTaD6jhYRnkhYuUbIL97Hr2RZmOamq5jtUZX\nUYfZuqBNHb0vUQTdZVvgVRgKGfDEhzsXoRjqm9juil5LLTb0o46NN1jnmesv8OLtL1jzGnoq4rSu\nlIUQ/PEf/zHfru7EiVrYkg+SqhgIBckVQiVxUYo0YkmCOw7fxb1zeyLpXC/jyq4XHrsyKlaNIaIJ\nqos44Ssv/hWmJ85BeI9TaWiyKUmVBvfigWaySRT9WpDn7IyBl6HLvu+fP8XCrd/H5z3I26RZi1y3\n6bsavUGF2hsBq5GVpmwWLK0rcNIPploD9mYGC05gddAEqLLxiHFnCBvhGByoBlpKLt9wXnBOkSMB\nU0ehZG0F9ANw/Km+yXzkpJLjoc4cS+UzK+ryRML5bmwGV7EznwSox7s48agZaoPIZFUz2KkUJ3XY\nxRFu5I/M3kffm2AT5T3C2qiOFkeMXRixtnp5my6dCLrZQjF63rOxiYGkDKPW0uBsgvF6qH/RF5Kl\nOEBSimWI5FnnT3P5pVuP/ZBesHXsnid0PEZcynpTY2sZYIUCQYEOollqibw+S9nagJvdhpjfgFyc\nxCdddv/FH2IX2iB8NFINn6/KHCb19OtBA8ZJMFpS5sH8wcam5E++4N1Mjm6NkKCnSoKqnFMy9ktc\n0K3GrcKYfdXjM/d9itLbAOcJjU1G4zh2FOUaVMuugGQi7pABmXHz4TsYy8b5wgP/dNzj8UzFaZ2U\nAV75yleybds26m8YD8nWO1Y6DIeRy/RYnC8qS03kY4xH/nKojCMml4TveVWLXfIOXmaYdGTogoB3\neJUEy6XoIxY893QQp3cD+cVln7KkCGPVRd3SOO8csp3riPPSQUsAmNRzNCjJVQcxcRjZzxBOkLYz\n0q6iyixeCh7ZfT2tcn5IIZLWoKvgaC1tGUxS44ivXynIL9Lh6Lh3HQR6yOcOeiABxgjTfafGMHVl\n3D37CDO9tcl/zvZaJ0XJe+KxrA7mMUhZY9fcw3xl77eHegjL4Zb/VQ2wvUhvC/5xg17Dt3/4D5ii\nhTIlyobkLG1gX4RqOci4Ch+awV4EsXhpZKCXDXoPQQU/aKyoklz20MKQC8MSGXNSsyQdM7p7XLH7\n1R/T8/C+Fx9XNW4QX7x+N7PzXSweIyw96Zmwii2uYoSCKRl0YOqyjWrMQ30R1U9x47NgPeOXXw4b\nQrXsEoNJHU4PND+IY+ZBntlqkNYNDRusCk2/Xr2GVRqrE7SpUCY2MaOU50C7fCDr6YWiTJpsGzuT\nVCikLWPlXAybgNhOFBOLu2LTGhZuR1r7+MIDX+QTX/nEKiz7dIjTPikLIfjTP/1T/uAP/oC2dVFw\nPjINZG0ZG4YV0MSAqyjZMb6TzaPbwuOBWHb04vMxiXkhqNJRbFKPLiLBEcFLxVznEP989zWUWQ0v\nJFUS8OQqSShTFavo6BAyeBtxEY6efxH5hq2hSq7P08yPsiEJzASJRwmLTtq49QcQTmJTj00dWU8j\nrWdx/hGq1lF0ZYMEYnQEMXpZXH/wuUODcmB/I5ivLJ/afV2ULW1FSlwnNrVyQntFP0YGdTn+9t6v\ncLS3Nlucl23/cc4ce/wG0/FiJK3zoq3PXtNrn1z4VbsE70u2jaznx9efH52QZbQPkni3ouo3i+F4\nx4otNIAlXiW8+Sd+j3ptCieCNCVxnUjnkHa5yjZ6ea3YxFHllrs/+DvM3f+9YFJqNXiBdyrqKEc9\nZSQT9Jl2FVNWMWFzMq/56jcf5H999Lbjfsp88hHWbbqdi/onMhOGO+85jDWOUliaLmPSKvrS0xKS\nB9wUM66J8TpU7L1RVGMeedYdiLyNqJVMvfx5SJMOdTGAIE1qVzTuLPTrYZdgtMQkikcP3c4P7vho\neN6ERjneU+Y1iryBSTLKrIZJs5CYkUOKKoBWCZdt/YlwTJPBzbICmYYbZTIZ8oVIQq7Qo8Mm4D88\nEASbLrvs9GnwDUK95z3veabfw2PjbODnV35j06ZNHDhwgL36QTYvbQQVvdK8GTpBIEOiAb/cdVWN\nWD16el6B7aMi51jgQ4NGpUM7Jy9UGMoQMDDXVLpG4UvWj+8MNCelws9GKcIySzCppsyD+FCZR5di\n7bGZwY3P4q1BpBaUpa6XOEfM0yblkdaFmPktUDQDXGEUSaGxiUOXis0bf5yRbDJYB5UWbSqkcyRl\nF6SK/Fgfk3J0BCaYTiZCkKqEqdp4EO/3YZhECoWLOHOomI/v9Lt9ZJrxrIl8mqsIJSUj6dr1nL9/\neDfnjG9h/AkJ5Qd2RdDiddT0KPU41juwppeqGWpqocNaG9Cz4gCSwOMHJrV4nI6a20phkhSJwGhF\nlek4cCSCjKoWOB1EiWziaJ5zIdmWDfiGgKwPWReV9BDCU09aNFSPpgj84RqWhoOaEzRdSj1PmJqo\nMz3VOOYTfnT2eVT7LuDBnd/n+f3jUyFf8LwdNBopCZJFVdCWFRIopUOpkkxUHDQbsF7jlSXNlnAu\nwRYp3iUIm0FSoXp1pJXBYNUJvAq0v4Fb/GA3qQxo6xDWkaqc5thmlHUBdxdi2WTVRVGnqoznIDiK\nC2fp9o6S6XzIyBCA17UoaKQIFNoIWSLiAFDQw97XPsQND1/Pg/sepNk84Tr5CLC2bvdJxmlfKQ/i\nve99LzfddBO75h8Oo8VRGSpM4GURrkhBjy1v5X0ZbWc0n7/v49w/d1/4ZUIGucV4Uk0SFvMAv3Iy\nKFNZnZGojAvO+EmqNAvynDJsKwcxoMKZCGcrIzCZo2oEM8ziYIs73vrvSdN5xpOjTIs2bTTrRZck\n6YSLrxuSkM0qnPToQpGUwf9MWo+ubMDfhIh2OmnkWcf34cMNZkj5EwItNeeOb8P5MjSkRBIsj6KU\nYXDbGOwajo3JfAQl17Y8Smt4YOHAml77dEbYJfiAJ0ehmhAujt/GptCweRwF1yMDIEBbYacxu7Sf\nw+39AAEbdcs3O6sDVuqFQLgAXTgZEjKAMpJsahqdN0KlKXyEuxKENFgCR7nwmjqGmnfUvKDuEhSC\nTRtGeNb5x5+C/OUdf4twkt+af2I3uvWmzoaqzpJ0LAiFxNPzCaXLWFraStmeRgiH1n1mPvcF9v7N\n1YGF4RQ2rfDKYfKKKrM46aOtmR/0LIfhhaAxuY2N254TeN1CDPncViURFhLgPV4KhKvC7gNw3vI3\nN/8JrX7YydmkHvKA97FgWtGkdrERGEXy+17ziXs+wmvO+1k2bDixue4zGf+/ScqNRoMPfvCDfPHw\np+kUraBvnE5EC3gZRi8j00IMqmiRIlyBlwmvu+htXLDl+UP8z0uF///Ye+84u67y3vu7ym6nTNdo\nJI1ky924GzAdbBISLsWEdgmEvDcQIPCSkHpzeRNSrhNCAgQTCAaHXhwbMAaDwca99y5ZLpJldavM\njKadtvdea71/rHXOSLaMJQOxITyfz3w0W2fvmTn77P3sZz3Pr+ArzC7kreu71p3o7uWrZg3N1hRG\nadqVpGeKaqUMlayHwnVvNBHMMJNFIxz/lTP26lsdbFpscv0IYaBTwVRa6LbvlZWxJxOUka+mtmy7\nnbvuO7934bqQmLv9c2HNwvDDtPxyTS60JLqCU14Dw7Mbvdh3FKrBbn/58WGfoliVcYY7dq59SscC\nfHnNpcz/Fwjle/fqWo9ue/GGG3hw9wYASjuLd5tRYQms/Y1v2uDyYJqreg/xR+e3sHHiMQM1ISmV\nxCqxkJj3aBt3l/duzwSe5r0dlOqAkxQ2pmMTElGSC0lLSFrCMa3bPJmg2JdnXkmxbAONu7CVAAAg\nAElEQVR/UBvk00Oze722c6LBhz5y5eOOyaWlELBO1rlq9vlM2Dqn/e5dvPp9F4POEYEXvvQtp7L8\nna+FMmgSlwqrbA9zLVz4CsWFVZ56XWjHbD69VyLuhrQW6UzQn/bSAgBORt5IQkiEinn/y/+NanUx\n0hbBYECFQspLfnYLLxfygxMRJhrgkzf+PbubE5xz7xd/4nl7OuMXJimD18R429vexi3pJWDKXmJy\nwg/jrK74ytjlvQ/D6BpOKpRUyLLdI4IIa8IEPepBbgQe92uiKmUUU0YxeZphpeShR67iqru/0NMw\n6NoylZGiFabLnYojrxikFZSVNqZvBtJ5dJ8XgtFhKKNx9Iu2p62m8+j5CmWao1sJUUeiyrDcs45q\nfYzR4cPDoMj7nC1QTnWv2u9VceV8r7VTiIyP3f55SlsGXzIVBnvSO1n3EJGPv7Gts3z09m/RMQc+\nCMx0wluOeNkBH9eNVx70HNLHkmN+hiFE0uulG9vABDz388ZOYlltBGNbRGrQo32CnkiPbKQquGgI\nVbaRJkfaAoHl2LHncsrBvwH4KlDg0Rd+KOtCUpKhp+oHYGXsr9/V3/xHHr3qQqw2Qb1HhJ6yRghD\nIttEIscgSZ2l6izaQWwVHz/rRr5x/hOTbc4XdzJ60wn8fXszix7zWSax4qUvOOhxxywqKxzZznhF\nZ5Y3167nULWLi858M1d+9TnEaRjgCoeQElXr85hqVWKSAqcMTlikEb41ox2diqMMwvcAM7vWccUF\nHwizHL0wBI0UrUoazqHsDdWLOKVIUvK06qVyZYQK10eejXgtGp16MokzvXtC2oX3K5zh4V330iwa\n/PiqS55xw7094xkp3Qlc8kQvFkXBS17yEhbPHMJLD32NF+fRqWfXOYfAYlS6l/C4VQkqGI3euelq\nClvwvIN+rUeP7bLjbMA+euib7i1BSx2Rx75lIIQMeGQP6yl1ELOvdJNySbvPty7K+jzUpkgqU8jJ\nh0knN3HEswc5zDbYIhMeKJcx015MuzECzX6i3YPoVkI6G1OdVmRNR9J2xO2CpFUQlQadt4nyDtKW\nRJ15cA6dB8ssk/uJs9Bg5sA5Jhub6U8yL3LvFib1xga1OqGC/sXjnX1bZYdMP3VrqKcjPnvvRbzq\n4OdyUN/+LE1FIIq0ifUY1rYwrk2ilwLGzymc8w88HaBWoU3mRam8QJUNdGsAp6IguuPbXZ0k7UHi\n2pWYdkVSRN46qUj8Q7yt2+TJPPR78XiqM4isQRTPIVWHSjRDRc0zqmYZpsWoLRgrHQfnKQMzCZ3c\nMDSw7/bE22JP6FAq5+utzft1Dg2ObdEcD6ZtdkrFVpnxcLEUKQwznUUoO8euax5g4NTnUnQGsUUK\neYZo9KE6EcJKomaGbktUIXuFhiocqvTXNGWJlJqkbYjbXtDLCUHaLgguWeiyRIb+si4LmmWDi274\nCG96wV+TmuB96Kx3KYGeRZcybY+YMnn4f8Fc0eBTV/0ZbznunZx968f25zT8SrpzfyOKIs4991xu\n2X0lD06uoYzrAZcYHAtU90mrKeM+D+x3Fqs92WPF4OEcueh4/8OE9JWzziiSGk4oCh172mcY1nQy\nPwW22lvXlEoGNp8kT0QP3gQLS1JZKpz0sCaswpiY6fUz7Lp3BzX8hTLjUpqmRlkEPLCJPOC+lJjI\nUsZeLLzbqy5d0XOzAC/aUkZVXyHsgZX1jDNvYeVsi+Hq8tBTztB6tKemJ2WGlMkegkSPfzj/NAl5\nZ3OarfM/WQjn6Q4/4HM9B4qubZh1LZyzmHK3d3AJ8pAeIukZfd2+pTAFhZDcs+3GgMpJPPpCaTpJ\n2ms5Ge3bXKp03iIsdCyccEgdodLMV8iRF/rxtl0FSuVoURLLAo1F40idpWIlqdVUK/ETJmSA/8wf\npr35+Mcl5K4Y/r4iF4YBk9JvJAmOhotZqj1qaCjdjti9k8mb1uFs3H0TUCQ4XeKkQxbanzLlcMp7\nETrhMJHwfn1KgNb+sEjRySI6WeQr5SzurUKLKMKoyOvM6IhUZZxyxOtRYabiscmyt9KVptNrWwhr\neip+nbLFR378bg4fOXZ/E/LTGr9wSRlg5cqVnHfeeVy4/vPsbDzqWT867VW6whlMXEUVvhosA9xN\n2oKR+jIGqot7Axqk9vKLAXNMWHpKZzHaU5mVKTxXP1JsnVvHdbd8ukd9NnohKXeqJa2+HCe9YpZf\nhvoXh154FIf+r1OYI0E7RywMFTWP0u0A4vS+ZyYuUcUe02oDwjm+feF72D67gTJKKJKUYh/mpl4n\noAx4bhf0Lyy5jWmX8xgzxZ6YW/sEjL4946maoE6159jZfGqQuuu33vdT9aT3N6xrgrMY28Q6x5l3\nfoUiJF8INmSyukDdfUx0K7J20WTDxGqQno1mtd836bR7PVOr/DVWxCJoX4Rc1pjxPWXhcOrxSBgv\nSCQwThJhKBHkCHLh2DI5+7j99zfe8Sff47a7tu7ztcxp2rL0I07nGJZN5kgYVLMoDNmSQY7+29cj\nhMN1m+Q6Bxfw1qHUtZFDhDaGcILprWu455KP40XwRE/Ws/vgknYBz22UQlmHsmXPPsqpiJWjJ4IQ\nlJEnTRmdeBKPVD1KdjdRC+v9NC9c/VWGq0u4bu3TUvgecPxCJmWAU089lQ9/+MNcsP4TzJctrEqY\na09z2drv9npKu23Jpet+4A9wjumyw2Xrvo/RKc2yyZUPfpsr15wTPMI0c+3dXL3qax4bGcXMdqa5\n9t6vkoeKpzOzk7VrL2PZIS/CCUF7boLbb/yMd62uOPLpSR45/2zfD5SOvP0IW7/2FXASKQztXfPc\n+slbKYBFrkU5Mc3ms7+DCGaZ7bmdrP/O2RSpwWhHozHBndd/hjJSvO61n6GSDnDDXV9AF77abs5t\n46r7vo4N3mazeYNL1wd2khDM5XNcuvEGLlj7QzbM7qBRGC7feDNdREGjKLhq8xpkECyay1tcufnu\n3jme7TT51zu/Q6vs7PP1n7R91NByDhtYut/777l97MhBHDkwfkC/r7s902nux/6it33F5rtQsoLD\n8OqVp3L15juCXKxiLp/h0o3XBmxrxFze5LKHvg1YpGkzU7a44qELqEcZrzvuXcy2p7n8wfN6glWz\n7WluvOPzvlJWimZjglVX/nuPSNFs7uS2T/wBj157IcJIiskpNn/5HLAKISydyWk2fPYipDBoYZje\n1eH6M+8gw1Ezgj/+/R/x9x+7uvf+dk40+MTnbnrc9gWLv8s/D7b3ev0/PvZaxpf27XN/AItlZleL\nCz91L9o5hkWTzq457v3kdYBvFXR2zbL589/2cnBxi3x+GxvP+wLSaISD1tx2Hrjk05SJIU8NpAnt\nuQmMFhQRdGZ2ced1n+n9/vnWFDfd/h+9gehMZzfX3PMVdk6s4aEtNzLfmuKqNedgtNfBmHI5V605\nJ+wfMZvPcsX953oRMZ0wU7b4ws3/xNaZ9azbdh9purd2+DM1fmGTMsC73vUuXvOa13Dxrk/TtgVC\nZ/TXlmJ1hrQFWioGsuEgtxkjkzr9lVFMlGCTGqUtqVf36D0mFWr9y3qbSkb0VRd7hIUQlNWMwf4V\njK18IUYJXBJTGVyGk6Gq1RHpyBKKWgtTm0dGEdnSQaQqqKsZFict9KPTXPTPt2OFIEtK5MgK4mQa\npEGkknhsESY2lImBJCYdWYoTgjitI6KE/uriHlRIxjX6K77qtzJCC7xbiyvBdlBCMRhnvPXIV3PU\n0EoEhsF0AIGnXWuRMJj299xJtJR74XsjpXj1waf02hiPff3ntT2Q1KjF2VM6Xu8B43vi/V3YThhI\nqv79u5zx+hIG036U9M7mSigGk7qn7DqLEjBYGetVzRoR3Gi8mlkkBIPZiIctCoXUMfW+sXB9OFwc\nU+1fitF+6KVEzPJfewujr3hVMNWVJMsGIWkgVY5OIFnimad1OgxGJbXxOh0E88rxxa+8jmcdsSDL\nGUeK8SX1fW5/cHdKHClWH+ZbDtVqTJZG+9y/JUrassQlgrGlFTSOYdq0J1tsumAV1kEmG0SVksp4\nON4qpKgQjQ+T1xoUlU7vfugW02l1mJHDT8FJiAogjqkMepNdoxVCx9T6lixIe6qIWv8ySmdx1iB1\nTH9tMVZpOmkVJTW1/mW0s6pP1HFGf3UUqyTSlpx70z+yfmIVt6y65ifhkZ9x8Qs36HtsOOd473vf\ny9q1azlt8M+InaMIjrS6LAKNU6LKEqskqiz2ctPtsuTAD/R6SlUInBSUYSnqe8i+71VqgbUlD6z7\nEStOPp28KiljS5kYisyS1xqUlQ7UJ4gqu0nSGYb0LkbVLEO7pxg3hgdHBrmjcTyd1hBK5ZTtOnJi\nCVEzRVhBNpOQzkf0TRmyZqDqtppsfOBSjjvoNBCCqN0iKnNk0UTns16AXyp0Z3d4c60A4eoE5+4M\naxs4V1CYKSI1RGGmEOg96NYKeOJ+44HEmslNjFUHGUrrT77zzyj2Z9AniHAUQQdEBoOEAq36vJFC\ncKrwanDBnUaFoZ+MPNpH+6rLRBXu3HQVh42/lGpcJ0+z4EjjqfhFFNGqJlgl6CQaq6BZk95QN3EU\nmaFdC/TkNMfWZyFuIdN5kmSaOGpQVzP0yyYjosEim7PUWJYWimVFnap9cpTK1miOZUWdfxzMie5+\nhNPzIY4+fNET7t8RJbmw7Iwa3J0apqRGOscukbFlYxs5PkbHZjRNjbzT54W2mv1enKhRQxYaYSUq\n95ou86vuIakO0j98KFFHBYU831uPcq8ToyzoousO7hmQUe6HeV2Md1QUQRnReXgcYIVEOosuOmFb\nIXDcv/Fqvnv7mXzy0x/nPe95z/5ePnvGrwZ9TzWEEJx11lmMjo5yS+dzNOKkR+7wqInM9+S0xglJ\nJ6v14DZFmJBv3Hkvj85vwagI28UxB7FtqzxsB+hVPMpCKS1TW1bRsV4XwAkXJC5KrLK+GVzGoe8W\nNHNx1AYSKv0xGktfPImbXUS5ayW0+rBJgZMWJx2qkAjrQlUVcK4INm6/kzJMlaUziLITcNZ7DnuC\nM8MefdCWVdy1czVSVnuVsXMlWg54pT26ZIrHJ+St8xO0y/xx//9kMV+0nhKkbqo9x1fXXP7kO/4U\nIUWKsfO9c7F6chM/3nB9QFjIwNhjQZsX6A78hO14MkMgLUzMbfWfBS4gArp9ZN2DfHl8Ob3hMMDE\n1rvplF7Ix2qzoKetc6QsENKQiA6xLIgwxGEeMLl2hgdu3kVq90/kcVnhH4p3r34bk5vm+Mju3T9x\n/1xYSmFpCUu/tYyYAisEFkF9xcBe+zonF/rKZezfh7I4Zehi4OZ2rac9tQMnwGgb7pMg5Rn78wLQ\nSboDa4EVjjvWX0Texf0H/WUv6+lp7EZHSGexQmJ0TB5nCBwPbbqBC+/4FDfcfM1TTchPa/zCJ2UA\npRRf+9rXyLKMW3b/K23hG/xFlKCsWcAch16x0dpb9mhPCJhuTTDXmfaJWCs6SdJDWVjp8ZN5EoUk\nLWlnAtKEk0//EKrah1WOMrGYKAyICg2qAFVireoJlVsEVWsYMYpo0xSPfvsGRN8kqh1T2TKGbibY\nqESWChPZrgQCndQv56SOeeVL/hqtk15fuesZ6L3iAjRIZngGmg3U4AgBbJrZQF7sBCRaDuAwWNfV\ndfBECLkPQfw7dq5jqj13wJ/LKWNHsqQ6dMDH9cUVXnXwcw/4uP0NR4F1bY9XDg/wQweWcsrYMR6R\nYVtBojPzOGXT8DKQEDR7vUCOMAXClrzi2N8jTQcptUcK+EGUxkjR827MY595urmqjB0brvlPOtM7\n/QxCWZwOkEWjcU6hZU7pNLmN6KCJncUKwfapJuu3TzMvO/t6e08Yxx9zLpUNZ/O1U474ifvVbcys\natOQPiFu29LglnMfpHSSGVOncDHTzaV02gPgJK7oCmE5UAYblV7LJfEMvyUvfz0jz3q+38UKTCQw\nGnSAyHkUhpc17RYgxnSYmVhHIW3P2w+g1LrXTgRfKQsceZJhtebC2z7JN278O6645hJOOumkAzo/\nz5T4pUjKAHEcc+6557J48WJu2PoPzOpAnJV+OdMViJFBRNxIjVEaqzRHHv06xle8oJeIexPg8NVF\nXpQB+A94ZlIiMNoy39xOc+dmXwFog5PWj9cD7klgsUhyp2gJSYEjSyRlxyFEiYkLmst2AOCkC9Wy\n/z1FAN13J9R5rCh1RBn6ol28rNWZhwUFnWUv5B3+WJmQKcnph76CSNURiGAYOoBzJmgs84SKcacf\n8nyW1p5Y0OZnHVoqFlV+3q7CIng7GoSQ1OMRhtIRbwAgIt+y6OpyqyroPq+37UovsO5MT01QuBJp\nS6RZWGXootyLHKGCYWoRBcSOcpz4jo9QHTvYEzGsQHbCNSMcQhhKG3vRKlESYWhKhXaO405Zwute\ndyQa9YTv7rFhjGVYNDnh/f+0X/s3pO3hhW3pkLGiRKJFQcP0YW2ElIVflRrvKdj17XPCYVTJzP13\n+3sBvGa0tgFC6hNxGflq2Wsn+2s9j30BIpIqLzjt/6CirKeS2FWUK6KIIooxUmO19pBVKVn18CXc\nv/V6PvWpf+N5z3vefp+bZ1r80iRlAK01X/nKVzjqqKO4+v6/YMq2Anws9Ww46f3A2lnVe6dZz8wr\ndPAF05Lb7j2Haea9m0jml7DtLKLU/unezjx7rwv+N9qx6/7r2PHAdZRZx/cFteli2ZDS4MLFrIWl\nFIL7EklzcR8vesfh1GrbkIVGNiuUtWavfWGlo0gMncwveXVh6GSRFwYvmpx90TtoC0epI4z2sqU2\nUH897TrIlHarPZkhVAUhM7QaAizGNlCy4rUwhFeMc64IKnI/G8bTDdvWMNNp/Ex+1k8TC2p4CiES\npAj2WcIrBoINbukxfhBoF1QIg+qg1xfZAxMO3LDpKiY6M+Hh6B+YOEcZeYNdXRh/bUXelSbIWuAE\n5JmhSEt/vQA2804eSIOUBVrmSGGIhCEVJXVryJwlQniM8n70k7vx/M/sZOfZ93CJ/clVMvge9Izy\n7YuGEPQf0s8xbzwS6X0/yGSDJJlGRy2UypEVz1wlavsvIG9Msvl7X8eYHKesxyxL6FRMYPr582C0\nCD5+/nc/cOd5TDUe7cHljJbkqQ44b8+g9Q4ugiKOeoXVVbf+O1fe/hluue1a/vAP/3C/z8szMX6p\nkjKAlJLPfvaznH766fzg+nezc+YRyihIXkbaM/Mg2DjF5EmEChWO0RKXpkGG0/olqJbo0lIkHlcZ\nd/ySy2hf1UojGDvtt1j2P94UemnW2z+pMvTULM6J3gUtgcMLy6Gmg8QRyZy5HT/ARB3Q4QLWhiIr\ne6gOowWtSpd1KFBZH29+3ReI1B4aF4FZ5vuc1ot9905KArYJMuHunau5ZMMVPYyydUVIUAvhCSV7\nD4C3zk9w/9SmA/48Kk+RgPL99TfzwNT+MdAOJAQSF/rI3gqqRIqIs+45j93tqd5eXtCqCO0K72zj\nE2/s6e2Bnq+iKpH0CnB+OCyD0pnBSW8VBh5t4A1EBabd5OEfe+0FaVXPpw+AIvFEDOeT/mxnhM3N\nQ1BYZh5t8PG3X0ZkDnw4f9gfPZftbz6Njzd3POm+DyYttmlYv2aKYi4gc7BoYZHC986zaA4pDVJ1\nkLJYELpwEqKcLF3MMR/6KDLWOGnRhcRKv480Al3Qs8cS1otvGS2QUqORvbYh0BPk6m53VyBGSwoB\n5136AW6596vcu/oWjjnmmAM+N8+0+IWQ7jzQEELwspe9jJGRET519gfoG34WlZGDKRINQlAkOvSu\nFCbyFQ4CrFYMrzgRlWQUibd+slKSp/5Gc9JfOCYSEHghTjn/vRCUWc70utuJ+xYj+maRSRMdNXFO\nkagmVdlmXmhmlaUhJI+4ITom4r5/+jEDL16MioYQeYo0CmEUUe4lEL2ljhfY16WfSsdRhhMKZQ2q\nLL1spxDIsgMIRKBUC9um57YCVFXEeG2ELB5CIJFCYVwbJRKk0MEiqku5Vr1/5/IGrTJntDKw75P+\nBLGkOkSqHysa/+QxVhlktNKPOkBbqr2lO/es9vcUXgraIViUTFCyysq+ZQymowgMQibefFZWvdAV\nLjjZKK8m15PqFCweOZYormGihCLNvCiO0gG1IygSRRkpjPYrHqMFrXya2d3r6TvsOExksHHphYik\ngyhHZPMIaVDB/Xw820gkLFlVcswxAwwuSomcY8Tsv8RprX8dS7IWz27vDxKmoBSGS798P1lVUxuv\n05Rd82KBE74dZ5zGOUlR1BDCWzfN3fcQOh5DaI1TFpVHqDLCgXe5dsJruwjP8vNDT9ErQAbHjyFK\n/WdnlUA6X0w56fv0Xr9cgoC26/CDH/8FRdnm/jW3sHz58v0+H/sRv5Lu/HnE29/+dr71rW9x/Y1/\nze13fxVZmJ6yW9fGqYwURaKCiLwfzLQzTS4KLvru+5gSu327IlCe81SEYsZRJNYvQRPjcafNmJ0X\nXkx7ciMUKbZcSEYNW2PC1Ll79kSumn0+edDlnWkexDFnvp8oOxyiDi4qPPW2VJSxn1T7Ja/oLd/a\nlThMqOHye77IjCgpohRCsujZRHWr3a50oVDU00H607HAWvP9PikirCu8rKeIEELThcZ5eU/LstoI\nxww/Xrzm5xX9SZX4pxYlCpP7IGbvHUVMb2WgRKDku5KRbBDo+H5yF20RLMXA4oQXu/G9femrZhkh\nbIGTAp13iPKO12ARC2JVXSuvTip6xaQeGeagV/wOZeJFfKw2uKjwS/+k4anVURMlCvr1lDdEwBJJ\nWHrUINL5G3dGPjnb8svn3sUD6yZ45ewox3bgvbUnf6hKYMQo3vjBkznyeWPkQiKdQ2OJMHRsisCh\nReHlRYX14lqdKrt+dDWtLetx2njTYG08Iiny94vVlrxS9lAYAPdediYb113l++2hpQH+XOWJxChv\nuCqc61XIq9dezJfPPo0sHeThddeydOnSJ78cfkHilzopg2f+3XLLLbTmr2Dbjn9gNurQzqLwpSki\nRRlpWlVNGWmaVc/JJ4o47rT3k2ZDXqvAQbva5e57fGmZeJPIrkGqqeQc9qH/TbZyFFHxaIUyryGF\nwbiIhq2xqLqJ0eoG+m3JCrkbk2eodceg+3Zi5xXtTdsxaU7e18DEvpLIU9/LLqOFPlsZKZxSDAwe\ngrQGp9SCyaRQoRIU2Kh/wSwyOK4gBFPtKSbbs8G1WaNk5jUf9oLEiTD8++mw7JduvJPtjakn3/Hn\nFI4i9MsDlFAk3ouPLmbZ9RJpV3dXyj0E42WC6LqPiIVb5oervsSultf3sAEd0HM4T3VPstMqj8c1\nQbxKOA+h9Ev5BVoyqvQwSulXPgrj2XxYNt2wBWUt0jkSJ4icRO7H7TsyVGGw3z98rqpEHPovr2WX\nbj7h/tY62g8a6kaztNBsV5qWkMQ45lxCgxiJJbcJHesrdaVyrIlA5xzyv/+A2tGH+FaetD3pAFkI\nT4qKrdd30Y48MxgNB51wOqMHPafnxuIEdDI/tykjQRmGo+1MkieShzZexXWXn8EJJxzF6lXnE8cH\nvhJ7JscvfVIGOOigg7j++uup1+vcfuFbmZx8CAgtMOH7y2UkaNT8JLiLn+w/9ETaNUmrKpgotqFK\nvHi3ckQthSolVjkPkg9asr2wOTsv+AFaTSJVicDSNhVS2UbiWCf6qFASZ7vJV6yn3HEIs2tuZdt3\nzwV8v9qqkrxiAiIjVOrJgiASwAmHvRLVNxpMOr0tu3AeEkiQOfQOLRWfcEIV+MDkWjbO7ghC7uCc\nRaCIZL9nr8lgSrtHC8A5x5fvu/SAB3eHDyyldoBGrJOtWc5e9aMDOubJwlfKqqct7cNy+47V/HD9\nNSi5x98o92wNSC9EhB/wea1tw+GLT6KeDPiBseoO9jq93qeVsieu063+7j7/79n54E1eDyKIplht\n/IcrbNArNkhVoIIxaj7b4Z6vrILcCxIBWOHQ7slv39f+5pEsXuTJVKfPW7b+f99iUfnEn8WDD0/w\nd5+6ilJYZpSlbg0aR44gDn9PLDtoUZLIFkq32X3zGlpr1yLijh9wqwKZa6w2gUjiE7IsvWqc1ZZm\nYweiUVAklmTlIdiRukdjpP7+s9LD5Ipo4T4tW3Pc8MO/46Yf/V+uvfpSbrnllme0BOdTjV/KnvK+\nQmvN6aefTpZlfPHf3k8nTqkfcjxlHADs0veIPZhdkGcSq0OSjgtu/Mw7GT75ZahKhSK1dGolZWIo\ns4IyyzFpgdPW32hRjm1opm6+lf5nH44TKVKVWBMTqTYDskEHzTwxc1QoWoOogZ1kBy1i8GXH4KIS\nZwMQH0nSiHBSYLUk7jh0CVZJ7/ZrBboomJrfSqOxg2o2CCoJ2tDBBdhZfF+06/YtWF4bZmltkVeQ\nk1Xv6EyJdW2UTL1PnYiQMgmedX4pvyQw9A7kZhhMa8R7MCf3JxIVcdTQcpIDbGHs2VP2bYvu31ki\n8AQcBGhZ7WlcjFXHGa8vIVHxAmkE2+snW11FAFalXmcEh9EVhvqWI3WCURqnFEWcBkZZaF0Yh9WS\nMpJ0Mp9AK+OHkYyPI9IIE1lsXPqqMmuCKhFRJwzQ/PAsEiVp5jj+9JWMSq9IN2hhpEwYtPvWcnDO\ncenVD3PowYO9z+kNc7/OpWIZXy5+8rB20XCVE08fo2IjTBjqCSwIyIUIPWVB6bxJRCsfYGbVFoSS\nxIuWB6UlicOD7KWVYQDuM6vVHov8wHkfBa2oLT7Yk6VKz3I0kUMXfkWB8KuKIpHsntnIDz79Knbv\neJCN69dw5JFHHtB18RTiVz3l/6p45zvfyQ033IDbdhEz1/8xc/lk6BP7IUyn4gJkyZGnBiccURnx\nog9+k2h0BBs5ytRikoIyzTFx+Ddr47IGrr7bC9ePzHHon7wGp/rozC8iEjm1eDfjapJZWyHCEGE4\nNHkEwGM+rcJ16oi4RXPrw5TzDZx0tPoKTGR7KmOt6t7DL6MitkyvZcvshiAb6R3FWcwAACAASURB\nVB0YrEooo5qvlmWME74/DIDuB5GATLE2R8ks4Jez0FOWWNfqoTRcgIyNVQf38O07sCHcgcRP69UH\nXdx1MJRFeacVIRH44SZ4+U4lSupxwEUHGzFfKXv9ZFk2vZGAEF5EPfSSvUykRjqD0QvGtkWsyZMo\nQLlUD2FQJIJsdBlRVguzAtGDQGKVrzK7fnbCkgivWBdhSChpCEkWFOxmVP6ETtbTM20uuWodZbmw\ncquMrGPp4H1c2Ldrn8fcee+jPReTxWWN0bLKoImZU46W8OL6HTQtIjpOU7qIts2I4gZLXnMsfScf\nj9A5RAF5lM1ClFNWOr6vHPlhZpnmlEnJsb/7dww976WUiU/YVjk6tTIQa7zXpdFQKnjo7vO59DNv\n4sNnfIj52QlGR/dtffXLEv/tkjLAEUccwQ033MBxxx3HrWedzobVF9FJLM0+r87W7DN0KgYTWzrV\nkmZ/gck86L2MLGu/8XEaG9djknyhZZHO+y+dE2e7SbNJtG6RVSaI5IPc9o7/QHYa7HI1TpTbWSLm\neXG5m8WiwYrR2+irbMdNj4E0uCJh11U/ZObhW8nrTfJahyI15JmliP3QsZ1JOllMuxJTxBGHHX06\nxxz5WsAnALGH+H9XkMnjbNUebhqWO7bfxUXrL8eFloUUSbCMkihZRYkKUqQIoQN8rIJ1jsl2iwPR\nyLhq8z3cuv3BA/6s9l+bRezxXXdQKQCBFBHdAZ//ijzFXPXhKAOG2Yb9LaguQsH34a2ueDSL873n\n0hZ88uq/IC/bISEHqVRjKOKo507TjTwRNMwcxdTOQDV24eGe+9ZUnAcIpUTIAil9sm1smebKN36p\ndw4Ue9vcNuW+k/LgQMaZZ7ySKLRRJlWL5sw4v2028rrZx2telKXlzLNvYmra983rNmZKt5jUOVUr\nyJxlTigiDBkFmSjYeM6NPPrN6xBYpCxR2jvpyKjtPfvK2Cdo7fv4wkge+uK/0N6yFeEERc1iYhPa\ndN4cArwbS7vqV6Ez+Xa+89fHc99FH+f2G6/mz//8z4min58jzTMl/tu0Lx4bSil+/dd/nRe96EWc\n/+9/w9rV1zJw9LMR9Qo2slgdenfaYaLgUB07TFzilKO68hBI5R46uP57VZnFlFWEMCidU1HztN0Y\n1UOHqS3vo7AxM1Lxx7OSCd1hs4owQniiQN8EHVNFqJL+459PtvgwZBEhjSJqR6hS9jCeuoSosOjS\nJ0ZpHVFZYJVmy87V9GWLvBuwMzipg9s1veW7X6Y7hrMRDhk4mEhnAa1hvdkqGi1roY3h2W1CSKzL\nmc4LLlx/HSeOrAxV9ZMnzuG0j/H6ogMyY71myyoemd3Oyv6x/T7Gty/GGUi6fVOHo0SKNLD3onAO\nJFLE5KbkH2/5NKeuODVogPjX0NXA5suwMvaszKji9XplzCFLT6FSWxSgkl6PgUAHtiqgL4JmilWC\nbeuuZ8Nd32fRsS/BaUcZh+kxYCPjk3LSRAjvIK10Tn3AMf6yg6j1aQZFm6ozRL4xwLDRjJQZao+6\nat0jUyglSJOFVtGkavGDepudiWAiKjm1/fjzL6XgDa8+mkq2kPA8wM1RCsu2SBG7ruEeTLkKtZGY\n+uGLKZJhrInRuk1ZVPzAL8/8NVbGgSkT7g0iKitW+vsGEFbilMCG+6sLMRUGNt14Pnd89o8YPvaF\nrL35MlauXLnf18DPKJ629sV/26TcjeXLl/Oud72L5vZH+NGZf0mnL6Ny+OGY1GIji0kMJi0wSYFJ\nckxSEh08CqnEVlo0tq3D2N3owQiRNRHSECezKJUT6TZalAynj7JivCSTbUoU4sFH+N7oEby5M8/G\nt3d49uubNJRlnogsmaYgosxrIC1OCnZccQnR8AiuniGNR1AoA9IKTOTxsE55VwtjSy6+9RMctux5\nJMGzTDiDsMYvv2250DcVAi0g0llPRGdB4D3B2IZ3wEb55Cu8XXyqDCctOiQkZI//lSINRqz7jkRH\nB+yOvbQ6xMr+sT3aJU8ePikvYSDpoidE6C27HnvRI0wcUsRoKXnB0ucQSREScel7ya7E9+ETkN5g\n14WevIsyKnEdJ2XQUvGti64uQxkriiRCGUuzpigjyJYfxqJjX0KRGfLMi/aYpMCkhXcbiTqgC3Tc\nRKqcRLWIRU6tH+qig8KSYel3ln4jGTARmfNEi2585by7yAvDYSsX9EYqLuLEdkY9eYRLm8/hTXay\n99o3v7eaZWN1svTx1ee0ajGvCmaVxQjHtNLs3NqgRYRKNK5eg0o1YPQJ0DgXUjnh2u0wc9sdpCsW\n4yQky5dAIr14VxAuKrMO4LCRwWrLrvuv58a/fgONiY3c9OMf8PEP/TnVavVxf99/Qfyqp/x0RpIk\nnHHGGVx++eUM3HUJjY+/h8ltt9EenCPva1DUmxR985S1JqY2j0tb2L5piFvMr72H2dV3ItJ5lGqj\ndQsdtahGM6SyRSRz+kSbTBQMiSYryke55m+v5YTWKq6ptrnlPw9nt4SNZpiJ1nIapk4l3k3av82z\nu0pNvnuCTjzTcz9WJbSqgk4mPMEl0E7bWYJSEb/9in8l6lvsNQEi31s2cbUHl3PSuzN4wSIvXznb\n2skPHr4U60yQtAQpM7Ts68HkBAopkj0GaN32hQssQNXDBO8rnHMH5GQSqwglDvwSFSL2riEi8VV+\n12gWr/MhiAIkTiJERJosCqzHjte86J6fAI/DWUyQ6iyLBnln1uN0S+9IIwIjtNu26Irl5LHygjtS\noArXczpXpRcgkmXoye+BonBWs/um+9n07dsxKDo2JneKrhNdQ0iqVlKxEYnbe3j6Z+97Ib952mH7\nPCdLC81Z7h4ANsbTvHXt29kwPU2r/fgHaUMWDJUZ/Sam30g6QjBkS1Z9fQ0TNzxCJgpiURKLnFi2\nSWSLSLfQukkUNYhST5xydoYdF1+MdTOQNCHycxdbaWLSnKLSxlRaFLUWbTXF2m+dyepP/CXPPeE4\ntq+6nRNOOOGAP/tfhvhvXynvGYsXL+ad73wnURRx4d/+FVObHqL+3OVsu+Bc0E3SsSUgHJu/8TVE\n3CA9qI/qYUcwdcMt4Bzx0hFkYyMbvng9zln6ltfJVJs7P3UricsZX54ypCxu6wxJJHnR4jpHsYu/\n+fsKnahgZKVi96Mnsulr55F3qiRjS8Bppu++G1XNSMaW4qzgoYvPBuuo9y9DGsHd138WWRj6+pch\nHNx01xcRZUE97mfzxP3cvelKLILhdBDhDFc8/AMcMFQZAwGXPfJjlEpIooyllUVcvulGHDCceRGi\nKzfdCsBQ1o91Ta7ecm/wPrPcvP0BNs7uwOEYSgdwFFy1+R4cHnUB9Lbn8hY/2nAbu9tz+3x9X9vG\nWa7+Ca/vvV3n9h0PMZc3iaRjKPEPlGu3PoAkZiCtIRBcufkOjM0ZqSyltAVXbLzan4/qUpCay9Zf\njBMRg9VlWF3h8vU/xAH9fQexfmI137j1oyzqP5ja0MEYHXHt6m9gBdQGllPGmttuPRsjIVs0zs6p\nh7ju3A+Qjo4TL1mCiR3rfvg5rCiJVizCasPmc78IskPloD6EcGw95zLiqmDZySMIYM2nr0c7w9h4\nFYXjvLPuYlrkPHvxKHPzHT70z1dSq8QsX+aHlZ/8j5ux1u21HRnJOUeNotRO/uLsR/hg/S7e+urj\nqNeSx+1/1tm3MSM6VFckTCrD9z9zDy0Lx771KNLDF3Pjv91FaSEZX4Rxmgc+cw3GSNKlo5hSsv6T\n3wWpyQ5azvBpL2bL174D1pGurIIu2PyV88Ba0mWLcOksd/3e77PxS2cTjfTxwGWX86d/+qfPhN7x\nr9oXe8TTlpTBU7RPPPFE3v3udzN572qu+buPwpLFDL/0SKJRgXMSVYtJxkbQtQyhCnQtprK8Rrlz\nB/d98BwOfscLGV4ek9YVNdGhWpUsWZ4wXFH0WcN4FnPyaD/1SsS//cl1pC9JMMteTjxskOk8MquS\nLh1BpH2IZh8qq1DtOwhVzVh95v9h8NCTGFx2HDqrYRTEUZXawDgVkeKkINYVBqpjzLcnuXv9xRy3\n/FQGq4tJgmBRKhVD6Qip8pCvVEUMpQOs7BtHqIRUagaTOomSgENLw1A6RKwUUmbESjGQ1KhGCVI4\nllZHGMwGSLUXMoqVZCCteYgZHt42kNYYzfo5ftEhpGG7C3dLfsL2f6z6EUcMjLOsPvyY1+thW5Eo\nxUBaJ1UZt+1Yy7OGxlnRt4xYeaJIoiIG0wESFaFklVQnDFdXkCrJ2feew8EDh3BQfSlp5PvIqU4Z\nrCwjiSoIZ4mjCoPVUeK4j6HaMsaHj6ZvYAVxXMUqTRTXqPaPo7MaZawR1T4qg8tIdRWTKFwUMXjo\nSeiw3Kc/IxkdQ9VSrDaoWkq6ZBF6QCCEIx3NGDxpGWlNomVBvSYYHc/oryrqzjCWxRw91s9gJePB\n+ye4695HOf2VR1Kr+vNdq0SML+3rbeuq5NxVf0r/Kas4+31X8vrn1nnZEcufcH9VExy0ZABVF/zf\n91/BMc8fY8mxw9h6SokkqWmyZQOomjcZFtUK2fggUT1i52X3svvWhxg7/flEtRik9dfzskFUxbch\nVFYhHR+ktX0Na//m47S37eLdv/O7XPPNb9HXt4dmy9MbT1tS/oV3Hvl5xwMPPMBf/dVfcfvtt1N5\n72+w5Leej1ASIRxCll6gRZqeUIuyHZKoIJFtss48/ZmlQLGIJlVnOTz3PdvxImFS51TWCA5ePsBd\nfVOcHy9ic+MwoqjB3O6VpLWd5HkdO7UM2UpReUT+0DYG+w4l6cQIB0nTkbb8ZxgVXjJSF962PcoL\nBI6k1UDaEickcXsWaXKEKVAmtBJMYKvJCEyLe3fcznhtKUPZoB92ubInBo+zOAylnUegfEvAlQGd\n4XU39h78PXb7wMJY+4S9aI8EaYbfIRFCc9Y93+PVB5/CQX1jCBEFpmLRU8Lrhm/ROCwRqBRpc4j6\ngwqcxGrviGxlhMBSRr4qN1HV+zWmlbAd91xqOmkcdC4kZaQ9CzNQ8zsVTzEuY0uReniYiYMoVHUe\nl02z6/s/YtGrXkA2YEniWVLZIpUt6qJNv2gz7HKGbcGQESwqFYuLCv1PgFXeV3z+H36TK979Izru\nDeglG/k2d+9zvwLDtO4wqzrcvWGS/kPrzESKaaGYECmd0DbpoOmgmZ7P0KkAFG0TYVyEc3EQwFee\nFBPE8K3VzK5ayz2/fyYqi/nMhz/G7/3e76H1geHY/wviV84jz9Q46qijuOCCC/jmN7/JoosfZNf/\n/CTz111NPdlBf7KLgXgX/XqKRfEOFsfbGUsncQhKF3HR71zA5AMTjLsGI7ZkxJZYAXUriZ3i+NYw\nh60c4gdDk9yZaPRN91G/+fuMx1vpG1xPFs8QJzPIwW3Y0S0UI7uQJwzTHG3T6iuYePRe5pilWZNI\nA0aCNA5pvB50F55VxAlbGltY/cgVGF3xGGadYnSG0RlO10IfVYMraBYt2qZNT49ZaKSs4m2jPIIh\nUoMBMpfiiNg6tzNAyxwLwzXoJuQ9xfMfmNrcM2MNv+AJz/++E7LoJWQvMyoDzK3jf5JQRHpB/1mK\nBOs6HpMsayg1RPfSl0IihfRmALYT+sr+tW5v2OEHfQ/suJtWZ9q7nONwXeH1SFNEUc8UwUpJo5hh\ndnJDT4JSOJCBAYpwPZ1hmwbYmLV0dk6jRAepchReRxm8Y003EgezU22+9eXV+w0XvO7mjUyKFrf8\n8x2Uo6dw3tLvPGFCnp5p87Ev3shgkRJbxeGHDFJHUbeWIVuyxLUYFk1iYaiLDjU63Pm+rzJz58bw\neQmUdGjVoT/ZRV+yi754knoygdr9MI98+LOs+oMzOfmoY9h4z/28613veiYm5Kc1fpWU9zNe8IIX\ncO211/KRj3yE4jOr2PC6b9G85GYi2qSqTUJJQkkmCg7WOzhKPco7v/4KDj2qzqAt0WXJwJyj30jm\npGW3atOQvlJ6+bzHxW5ORrBpyqiY55B4E4PRJNV4miTdTVbbAXELJy1FtU2nr82WtVewa2IVRkOj\nT1LGXuIzT73YUg8rK3wVQ5x6WywVYXTqZT4hwOa6IjwZzx9/EUvryz01W/d5tIbrihdlSBF7cfwA\nl9vdaXDdtvtQYkGBTMokVKPBIcIt6C1sbUwym7dYiMcml72T9HxvONglq8ig2ZEEBqInengEiGfp\nGdtEqz4ILD7Vs8Fy3llERjSLHGM6fjUQKuSukD2Ak5E/V1EFKyMenlpDmy5DsvuXi2D1JHpav1ZJ\ntu9YxYN3fZsy6L8DlInBKa+VYoNEa7eKFEpx8PvfgKzWwQkMCudEGKgZUkrS8HtTJcmEprIfesrG\nWM797ir+14bnU7qIJQP3sy2af8L9K1nESFxhlja5DANMAdqB9hQiSiQjjRnGXItFosFbzn45h5/S\nT7+eYTCaZDCaYCjaRSxyMtXAbHuUK079GFe89KO8eewlPLp2E7feeitjY/sPdfzvFL9qXzyFcM5x\n0UUXccYZZ7B+7hGe/cfP44jXHopWXjd5zLUwQIRjzJQ0hOD+q7dy0/nrOOPM04gcaCeYUZYJbblK\nLqFGh0wUzLuEeZewwk1wx4WbWPy6E5i1g7SKOu32ELYxAJ0qyVQ/uhWTzGsviVha4hZkuUTnjqTj\nzVaTVoEuS6S1SGuI2i2ELVGdBtoZbypbNBGuDLA5iSjnAYtxcPOW63jBkpORrgiVtHfrsK6DkjWM\nnQ/JWVOa2cCiEz1NDZAYO8eCFOjehJOuielj/08IhXVtjLN8/I7z+bOT30AkPSnEn+Wil4T9Mb6F\ncdY9F/DqQ17MwX1eNUyJFClTrFvwGJQiAxlx8frLqSUDvGTFy+iy95xMQEhPuJFRkOkU3gPRWcrg\n62iVxkovAlXEUU+9zH+pnhmC0V5MxyujOYqs7JmkmrhgZs3tqJqkdsJSVNxCyoIoapDqeTLVZFDO\nMShaDLqC/rKgoxRD1jBcSkbLmNGy8jgUBkCeG+J4b8blLt3kjso8w6Xkuc0FF+yHHp6k0cw56bgl\nABgcKjwYO6JkWrXZpTvMKcectKxZNcn5/3IXbz3v1eQochQDdGiH7wsUEsfau6ZYd849PPKjdSx7\nyQq+/Bef56Uvfen+32hPb/yqffGLFEIIXvva13Lrrbdyzie/wfzXd/Pj0y5m5ku3cPL0FMO2YJkt\nWBoS8ngpeNMLVvDxfzyVAaM4tj1MZ0PByfNDfOnB9/Eb5lHu3fxK7pk/nj7R5llyFxPTsPnuCTou\nQWJJ9bxvZVRmoDJDZ3CWTn+D1kBOXjFsuO0C7rn4YzgB7YqgnemezGcnXUgiVmtWbbuJi+7/Oiau\nUcY1yrju4XIqSFGqCsgMg2A2n8eKyFfMwURUyAQlK1jbQIoIIWKMbRGpQUprUbIOSJSohGTZffAb\nlOxDyT6kqKBkLdRe3Yqv2y4oQlUrUELxl8/+bSKZhOO6TtR9vT63Z+xJhPAKeBLPPlQiRYgYF2Bt\nUtaReqgHd/sfh7+eF4+/sPuh+n9sZwHbjcMJT1nHehsoJzzsTRe5947T3qKoqwqXC0OpF9pIQHDa\n8JA4Jxw2KKihS8r5GcrmNEKVnjSici9gJbxKXNcEeGL9DJ98248xzvVsmp4otj46y2vefg7WLhRc\nq9NJ/qnaz3Mb9b0SMsCGzdM8smm6t60es1JpyxL5iGG0Jek3khcePcKffuFUVpgOB5sWy62fl9Rc\nSYWC1l0bufB/foeLXn0Obzrkt9i6bgsPf//BX6SE/LTGryrln0E457jhhhv4xCc+wXXXXccr3ryU\n0/+fZzG+qEq/idFOMbyHIHlHlLz3AxfxZ+99AbPPkRzWyciF5Xt12GgHWb/j+Ry9+HoGRIuWi5iy\nNTbdMoFcvAw5tJKyOeCblM1+RB4Tz2ckuyPEVIeq6idpeft2XXjxorTZIeoYoqJAWotozZE3J6ln\nw0QdXyU7ZG/wJ0zhLaUAYRqhQrbeTFRoKPdY/naHe0Jjbc6/3v453n3cW6hG0H3mO5ejZR8mtDCc\nK2mWhm8/9GPedtSpxKoPa0OPOeCnPRHF2zR56rev4lWojp3LPWZa6F5yVqLCp+/+Bq9Z+VIOHTwC\na9s9NmIvaauaN0LtOopIb9/U7albqX3bIijsmbjG7et+gFMRJx3+Wk8SiWJKHSGtJY/9cC9PfbV6\n2aUfYvxZv87ik37DK50l3vbJBv3gvJr3dFNc0u5RkUXcIYpnkKog0i0y2SSVLaqyzZBo0m87yC0z\nxMv7WVEYRkvFoIkZKauPS6IAu6dbDA4sXHNX13ZxVuPlvKb/Gi5vPwt32ZV89GXLWWL3R/Qe3v6B\nC3j3H53Ms44eZV7mjBU1SmF5NLRC1umcz/3BNcxsbzI10eaDf34Gb3zjG1mxYsV+/fxnYPyqUv5F\nDiEEL37xi7ngggu4+eabGdEv4/991Y/5lz+9jo23TjNU7j0hT5zmS598HccdvZgrzvog//6593Dr\nd7fwa82So5ngt0cv5GAxQ4WCQdkikx06a9bBji0k2RS6OuXdsmtTuMo8eb1JZ7CgXJrSqhtm3DSX\nf/v9zFdckPuMfNWcJb5izvqo1McwOmJWwupdq3pLdhOU0Kz09lIgwZVMtuf44bqLcbbw+hl412Zk\nukCyoOAPT3on/clAGKpVULISBm1F0M7IECImU5qXLjsZRRzQGypQn70yXVeQXssBjC3Y1pgKVXK3\niAiSmEHnWNB1xnA+uYZ2hZBJIJFI3xsXCnQfU5055sv2AlkEidE+iVkZHMKlAlty2PiLWbHkOZRR\nTBF3nZslnSRZcF9W/397dx5mR1Umfvz71nLXXtKdfd9JCCFAIAoEZGdIRAKCCoM4qMPoDxwddEQd\nmRHBGRdmRHDBDWVTENmFEBO2hAQSQ/adJJ2lu7P2lt7uVlXn90fV7TQxgQQCucD7eZ56uu65VefW\nvam899xTp95jk485nHz+jQwefVaYf8SEKViBrpYyRmhdt4ptDz8Y1ROA5SMSto5N4BBEU0FlGzrY\nPidMWGUsi6qBZaQDnyBKNxuwt1X7xIy1/Ob+RV3nWPeAfHOPAme296YyvY3PtFTTtvtoal7ZxSOF\nNrY77dxaFX5Z3tWjuWuftbUNzF2wN6PcfbdfwqmjB5MKXAbly0kah5ixaGnK8thvVvOfpz/Byrnb\nuexjX6R+czPXX3/9ezkgH1EalA+zkSNHcscdd7Bx40bOOvMLfO2WRZxx8d389g+L2dO69262YkrF\nL3z+dv5l6p3M21bPmGwV4wo+Qwsw1MtzdCGHZQyVkmXc50+k56Sh2OIRs3az89HHwzvtAhvxLQqp\nLIVUjnzKI+iTYuTZn8XGIrDCNJ/ZVIx8wiEXd8jHY1GaSYs9+WbqWjZSiIejMoQgnB3bjmH5OfxY\nJcZKkoqXM6THSMROECbtSUUJeqIE4xLDstIkbBsp3qId/QoLJ2W1sCTZlWjetcsZXjkAxw67OoCu\nxPPF7obwQl4GkSRP1swlMGG3RLEOg8GxyqJA70QBWxCsqLuimCu6ELaQreLt5BarGlaxateKKD+y\n25WwqXhxDwhnBbcc0mV9qagahhjTNRu65Yf99MULfF70P8lJlYEbdmV4MemaxRnAi4dpOmN9epM8\nakSYFS6aRVUsP5zLMZow1bXyeI17aFi6nRaTpIk4O+wYDiZMEhRYVAThF0ROPE6cMOCAd/P9V4vL\nyjU7+cyzi/leVZ5kz62c+L0LmL3t37j9wa/hEHBXj2Y+31LFpljYjdHelOf57VvZ6YQt4VXJJjwx\npAOXAgGzF23mjAt+z8Wn/pGatc089KcZtLfnueWWW3Q0xduk3RfvMGMMs2fP5pe//CUzZsxgylmD\n+cePH0vLGS5Zy6JXdN1rVC5JX6+MZjvL7/6wBG+Aw1EXDsPB0Gw5NEqMBpOmya+kcbtQ/+f5DP7n\nS8lnKyBTDrk0bnsStz0JFiT2OLg5m3gGXpv1S/oNP5lBvSbgFDzcnE88mw+7MgKDU8hhRVf2/dZd\npJxE18gNN9ccDgkrTh2VawQ7iRcEOCYaPuZHSe+DXFereemuVWxt28aFIz6CYJH3G3GtSkQc/KCj\nK+scuGzv2Em/dFVXsA37gfNR33SA57eGfdjRLCmWxPGC9ihhkhfdVp0kMHl+uuQ+Lhp5PsMrh0Sf\nfwGxK8IRFk40ssKKgzgYK46xbCTw8d1UmBeEMBgHlksrBXJ+np7xnuSSqfDCnmWF09vb0UgLy6Ix\ns53nZv4X5199D148/CLMJy18J8BzA7x4ND7Z6oSk1ZXGMpz+qRMr3hHNDJ0lyBWIWW2ky3zK7XbS\n5MnhUCFZysgzwM/TzxeqC8LPblzAf335TKp7JP+uC8PHsDHezFG5MA/G3xbXsWN3By9+MpxYtL5t\nDBUvnUZHzwzZIVvoVfk3Xvr8c0y7ZxLTrD2c0tGLO6v2UG58nl74ZQCGxm6i9gdL2VrXisFw4bR/\n4rLLLuPUU089/P9xjrwj1n2hQfldtGvXLu6++27uueceMpkMyYsGc+Flfeg9opLKwCcTjY+VTXso\nN0LlkDJ2OMLajW30GlFJi52kyaRo88vo9MvI5ioxxqbuwfk4iT70PPU8nI4kdi6G+BaxTpdYxqZ1\n2UKqe4wgWd6LeNZg+ZDqyGH5BqfgYwVhwJWOFu76y2e59pw7SNhxiIKUFRSwvCyWHwbh7c0b+Mu6\nh/jipH+HIB8GY4Ko5SzgtZPz82S9Tirj5RSTTppuuZnDlrBDQ2YXT258gc8c/TFsK2x1i8T2mR0k\nHDFh8BCccNoqE2BZ8aieaIZyk+FnSx/aG5QtNzw2tzrsEzeFsIUPYbeL8TBWvGtooJHibMkWgZti\n1Y6F1Dat4ZzjrsFzXALHIRCbQiwck1yIhxf5OpMuze1bqageGqZWjYWT6+YTPpYv5NIeO9bOZtu8\nJxjzrZvCyQvi2XB8crwTcfK4sQ5sO8uGH/+FisEJxnx6Akk7Q5o8lZIlL/XtiQAAIABJREFUg0tf\n00mvwKOPL1T6FitmbWP85L6Msqu6RmBkorHNXofPDTfN4o7/ntKVwrPolXQDfTyb3zUVuCQekCqL\nMS5bzcsLa5l5dh+W13yK3/R7gJp4B6O3lfHiK5v5819W8fLCWhKJch577DFOP/309+WsH91oUO7m\nfRuUi4wxLFmyhPvuu48HHniAYcOGMe6jMHnqMJJ9EpT7Fg1OwA7LpcovcNtnnmPKjz6CN7APGVwC\nhA4/RZtfSS7Xgz3rWgCHZP+RkCknaPJwUmnczgTxtjhOziKWjW50qK9nzTO3c/bU7+Pmw2Fztu9j\newFOwYNChkQxHWg+i1g2drcbPSw/hwQFstlmyuxiNjWioOdHrWWJcjaHmel8rzUMuFYiukOwgDEB\ngYn6g8WNciAHYfdE8UKelcSYApaEd+Ut2bWK43sfG/a/FtNvFqetMjkQl9sX/ZqLRk1heOXQaBqs\n6IKeCShOHruhuYbqZE96lPXHd1JYfj7KOR3HOOGXUWAXs7+FgbfgRgmJ3Ghq+5iDhwE3TGTvOeHk\nqEYgl7LCFnIswHcD8qkCxvh4mXZMXze8YSSWCRcAO4MbD5NZ+TmDm8pT7oR39FVIlrSEreWOOa/R\ntGQnn7r2WCp9i16+wx7bZ3A+jWMssvkCFUGceJQy9Nk5NZx56jAcZ/+9lF//7kw+/tGjOeWk188C\n7fsBr7xax5+eWMlDT6zi9NNP55prruGSSy6hrKzsMPwPeE/QC30fJCLCxIkTue2226irq+M73/kO\n2TUj+No5M/jRJ/7KQ/evQuqz9AsKtNoun/7jFAYMTFEpWUzDHp6/5nF8I6TsdhLxZnqMLSc9ojdI\ngIl1sOyrnyXXsovA8SkkPbLlHpmKQjifYFU1Iyd9gs4yi3zCJRfN+RfOFOxiWw5+1Cf4xLI7Wbl9\nPvl4OhwREc3kLCYg7SQJ7Bhe4DFn0ww8O0G2c3HX0DLEClulVpwH1z3Duqb1YaDGCucDFLtreFw4\n7tgD7LArwq7AtsqjQB2OmhAR6tt3kfHziNhYVmJv65cAJB59Qfh7j6GrhRzNMG3CmUe2tdfT6mUw\n4iCYrv7kYhdN3k3ixeJ705lCODzOCj8nz7UJMDz6p0/Ttqce3wrneAxHW0Q3y9iG5i1LaVw9HzGC\nWBbSM7rgKybsT7Z8TAGWXfFN/D2N2E4eJxlgS4AjBVzx2ePHaTNxXHx6j6nm+HMGscu2qXMNdW4B\nH8iKx3a3nW/d9Cx/efm1rmOefMaQ1wXkZ55fz513L+x6fOt3zu8KyIWCz4vzNnHcWXcy9tSf8e3/\nfY5Jp13NwoULmTNnDlddddUHKSAfUdpSLiHZbJaZM2fy8MMP89RTT9FzpMOkKUMZN3UYuWE9wxSO\n2QIbVraRnjicTJCiYUue/M4W0hOOpVBI42fLCHIBlqSRznKC3R00zHqBwVOu6OrOiHdaSBDOsPzq\n4zcxqP9JHDP8XIwItheQyORwvAKZfDuuEeJ2DKeQA8/DCTyM7eJkm7ELnXQWOnh583TOHXkJgr+3\nX1nsrm6NtnyWtBVgWdF0VBILnzP5rjvpsoU9/GLZH7ju+KuJu+nX9U8bE85GHXZHdLvRRKywFex3\nRK1hw+2Lf8NFoy5geM/xYascolEXFoEd5rMQ4+M7qXB0hVjRKBMI3HA88szX/kx5WT9OGn4BhVh8\n7zRProvvWOQSYXdJW2Y3iR79ySXC2WDCi36QT4Yt5MZ1fyMbtNLzQ2fgxwoYO6CQyoLtY+J7kEQO\nvBiFPdtIDYgTi7fi+zGSbhsxK0uZ2cMT59/Dxx75JL2rLdKSp7dfoEMsyo1P09pGGje0MmnqUNKB\nYHIBSddmUCFB1vJo3ZNj5dJdXHbKOLbGW2nc1kGm4HPSgAFkxaM2aOPntyygdv0eajY20XtYOWMG\nfJhrr72WqVOnvnsnfmnSlrKCRCLBRRddxL333suOHTv46S33kt5+PD+dNodHzp7Di9+dx5r5DdTM\nrsMSQ8LKENTWsvHO58M8trE2/Nat1N37EMQ7MYlOskEzjatewktlyafz7LEbWPri7XRW+GTKhHFT\nr2d303raK+Lk4y5bd69gztLfkUmmkIremHiKF1fez/ZsA7+ecwNZ2+aF1X/AS1SRLR+EneoDxifX\n8UrYCm1excyN08OA6TXjS4L59fOwYlVgJ9nZ0czMmllhrgk7jS9xZm2ZTcKt5OpjrsBxKpi1eXbU\np2zhB4Znaxd2XZzzJcasrfOiWbktfAOztswLW7VOGQZYuH1xGNCtJL6xmFXz1/DCnoRdDn/dNBNj\nuxjLpSAWz732SDQc0CbnuPgm4OjBHyGXTJMX4aVld1NwXfJxlx3tW/nb/DvxXJtkRT8yrsey2T8H\nIJeEpsbXWPvUT8EIFRNOomriqdQ8dmc4BVIqS2B1sO7mm6i59TfhzBx2Czsffx5jLHw/htlew8rv\nz6AQxMhZST563zRW3rucTuPSYWLsas4z4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Cq1a8KECS/36NGjbe7c2vP69++//owzzljc\no0ePzMqVK/sPHDiw+bLLLts0fPjwzIABA/KaqP0Db/GReuFSbCkrpdQHlo5TVkqpEqJBWSmlSogG\nZaWUKiEalJVSqoRoUFZKqRKiQVkppUqIBmWllCohGpSVUqqEaFBWSqkSokFZKaVKiAZlpZQqIRqU\nlVKqhGhQVkqpEqJBWSmlSogGZaWUKiEalJVSqoRoUFZKqRKiQVkppUqIBmWllCohGpSVUqqEaFBW\nSqkSokFZKaVKiAZlpZQqIRqUlVKqhGhQVkqpEqJBWSmlSogGZaWUKiEalJVSqoRoUFZKqRKiQVkp\npUqIBmWllCohGpSVUqqEaFBWSqkSokFZKaVKiAZlpZQqIRqUlVKqhGhQVkqpEqJBWSmlSogGZaWU\nKiEalJVSqoRoUFZKqRKiQVkppUqIBmWllCohGpSVUqqEaFBWSqkSokFZKaVKiAZlpZQqIRqUlVKq\nhGhQVkqpEqJBWSmlSogGZaWUKiEalJVSqoRoUFZKqRKiQVkppUqIBmWllCohzrvxIlWJctOSa383\nXkoppd5NW4wxww5nhWKMOZz17f9FRMz3J38eEQsQBAuwosfsLRMrei4qk2g7wv3CusIyou2L2yLd\nyyQq3qesa/sDlxkRwMIUy0Wi9ei5qPx124lEZa/fznQvF8F0LXvr+Pttw+f3Pre3DtO9jujwDlQW\ndCt7fd17y/aW060srCOwovJuz0FxPVyK23TV3e25cFsT7W9AwIjpVofp+tu9DNm73+vqEAOW6doe\nMVEdBop1iAEriOqJniuWR9vvWwcS7P27nzKxitsGb7q9dCsTAqRYR1QuFB9HfzHRKRZ0lQvd6oi2\nsbpvG9VrEZYV67botn1UR7G+feuwMOH20V9LXl9efG7fMkvCv8X3svc5usptw9+VWVGZXawv+ki7\nb2f/XRlYRrChWx1RNDB7f+LbJoomJnyOrn0JX8/sjSjhvvK6v/uW2+bvy4rr+5YD9D3mVowpnq2H\nh3ZfKKVUCdGgrJRSJUSDslJKlRANykopVUI0KCulVAnRoKyUUiVEg7JSSpUQDcrqfadl+atH+hCU\ness0KKv3nZbli470ISj1lmlQVkqpEqJBWSmlSsi7lftiB9D3HX8hpZR6d+00xvQ7nBW+K0FZKaXU\nwdHuC6WUKiEalJVSqoQcclAWkQtEZK2IvCYi3zjANneIyHoRWSoix7/ZviJymYisFBFfRCa+tbei\n3o/ewvl2Qrfyu0Rkp4gs32f7KhGZKSLrROSvIlL5Tr8PVfre7FwTkTEi8rKIZEXkqwez71s614wx\nB70QBvENwFDABZYCY/fZZgrwdLT+YWD+m+0LjAFGA88DEw/lmHR5/y5v53yLHp8GHA8s32efHwI3\nROvfAH5wpN+rLkd2OchzrRdwInAL8NWD2fetnGuH2lL+ELDeGLPFGFMAHgSm7bPNNOBeAGPMAqBS\nRPq+0b7GmHXGmPV0TRmiFPD2zjeMMXOB5v3UOw24J1q/B7j4HTh29d7ypueaMabBGLMI8A5h30M+\n1w41KA8Ears9rovKDmabg9lXqe7eyvlWv59t9tXHGLMTwBizA+jzNo9Tvfe9nfj0Rvv2PdRz7d24\n0KetX1XqdFyoere86bl2qEG5HhjS7fGgqGzfbQbvZ5uD2Vep7t7O+fZGdha7OESkH7DrbR6neu97\nO/Hpjfbdcajn2qEG5YXAKBEZKiIx4HLgyX22eRL4THQQJwMtUfP9YPYFbVmrvd7O+VYk/P059SRw\ndbT+T8ATh/m41XvPwcanou7n1Bvte+jn2lu4SnkBsA5YD3wzKvsC8C/dtvkZ4dXIZXQbTbG/faPy\niwn7ZDLAduCZI301VpfSWN7m+fZHYBuQA7YCn43Kq4Fno3pnAj2O9PvU5cgvb3auEaaKqAVagKbo\nnCo70L5R+SGfa3qbtVJKlRC9o08ppUqIBmWllCohGpSVUqqEaFBWSqkSokFZKaVKiAZlpZQqIRqU\n1WEnIheJyDIRWSIifxORyd2ee9NUnNF2XxGRT7/B82eIyCmH+bjvPNx1vttEZLyI/P5IH4d663Sc\n8vuUiIg5Qv+4IpIyxnRG68cCDxljjhYRC3gNOIfwpo6FwOXGmLX77G8Di4ETjDHBAV7jO0C7Meb/\nDuG4bGOM/wbPLwZOfKc/NxGxDvS+DlP9M4HPGWPq3qnXUO8cbSm/T0S3eK4VkXtEZAUwWETaRORH\n0QQCM0Vkkoi8ICIbROTCbvvNEZFXo+XkqFxE5BcisjpKzv20iHz8YI6lGJAjZUAxAB1MKk6As4FF\nxcAlIl8WkVVREvs/ishQ4IvAv4nIYhGZLCIXish8EVkUvdfe0b7fEZF7RWQucK+IjBORBdF+S0Vk\nZLTdWOA1Y4zZ9/Wi56ujz2GFiPxGRDaLSPV+/h1+Ef06WBF9cRTLN4nID0TkVeAyERkpIrOi13hV\nRIaLSD8RmR0d2/LiLwwROU/C5OqvisifRCQVlU8SkXlRHfNFJB293FOEt/qq96IjfWujLoftFtGh\nhHleJ3UrC4Dzo/VHgRmEX8QTgCVReRKIReujgIXR+mXAU9F6X8LbSj8ePf4xYUt23+WGbq99MbAG\naAA+HJVdCvy62zafBu7Yz3u5Cbiu2+N6wI3WK6K/3+H1icYru61/Hri123YLu73HO4AronUHiEfr\n1wNXv8Hr3Q7cGK1PBXygej/H3iP6awEvAOOjx5uAf++23Xzgomg9Fv07fBX4VlQmQBroCcwGklH5\nDcCNhMnUNxLdVk745WdF66cCTxzpc1KXt7Y4qPeTLcaYhd0e54wxM6P1FUDWGBNELemhUbkL/ErC\nabt8whlgACYDfwYwxuwUkReKlRpjXjcVzv4YYx4HHheR04DvAecdwvvoD6zu9ngZ8EcReRx4/AD7\nDBaRh6J9XcIgWPSkMSYfrb8CfFtEBgGPGWM2ROX/wN7EMft7vY8Al0TvbbqI7C95PsDlInINYcDv\nB4wDVkbP/QlARMqAAcaYJ6P68lH5QuAuEXEJg+oyETkzqmOeiEj03l4hnK1nmzFmcVRHe7dj2AUM\nOMDxqRKn3RfvLx37PC50Ww8IE/NgwuZU8Qv5emCHMWYCcBJhq+0NiciPJbyI131ZLCI37LutCWf/\nGBH91D/Y9IgZINHt8UcJkw5NBBZGfdP7+ilhq3sCYddG9/27PhdjzAPAx4AsMF1EzhSRJGFLe8cB\nXs/e38fwdwUiw4CvAWcZY44Dph/oOPbHGPMSYfCvB34v4YVOAWYaYyYaY04wxow3xlxzoGOIJAg/\nQ/UepEH5/WXf/6RvlAa1+FwlYWY+CFNgFgPQPODSqG+5L3BmcUdjzFejANF9mWiM+RFAsZ82Wp9I\n2HXQxMGnR1xD2JVC1DocYoyZDXwTqCD8qd4WrRdVEF48hDBF4v7ftMhwY8wmY8xPCdMoTgDOIuxq\nONDrpQm7EK6MtpkC9NhP9RVAO9AWfWZT9ncMUau2TkSmRfXFRCQpIkOAXcaYu4C7CL8U5gOTu/V9\np0RkNGHWsX4icmJUXtbty+oo9rbO1XuMdl+8v+w7auCNRhEUn/veOjmnAAABZUlEQVQF8IiIfIaw\nz7nYmnuE8ILbKsJ0hYuAPQd5HJdG9eUJW2yfBDDG+CLyJcIUhhZwlzFmzX72fwa4L1q3gftFpILw\ni+R2Y0yriPwFeFhELgL+lbAf+mERaSKcgHfYAY7tkyJyFeGviO3AfxNOhPnnN3m9m4EHRORy4GXC\ntI2vY4xZLiJLCb9UaoG53Z/eZ/OrgF9H9eaBTxC2kr8uIgXCL53PGGMaROTq6LXjUT03GmPWi8in\ngJ9FLf1O4Nzo71nA0wd4/6rE6ZA4dUAikjbGdERdDwuAycaYd2WWDhF5hPDC4cZ34bVeJbwYecDh\ncvvZZxPh8Lmmd+7IDl30C+RF4DTzDg67U+8cbSmrN/KUiPQgvLh087sVkCPfJLxo944HZWPMSW9l\nt8N+IIfHEMIk6xqQ36O0payUUiVEL/QppVQJ0aCslFIlRIOyUkqVEA3KSilVQjQoK6VUCdGgrJRS\nJeT/Axz8okEVKBWaAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x13d66b6d0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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KuYzqS8sG4IEHYNAgOO20MCS6RbELbjvnXEKSvmezxsxWAUcBfzGzS4BOhWTm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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x11e6941d0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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CHXaAl15K51xvvhmD6pZbLp3zSTpatYrJOqdOha22gltuyTqiwk2YAAcdBD//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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10bf121d0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"bgroup = metricBundles.MetricBundleGroup(bundleDict, opsdb, outDir=outDir, resultsDb=resultsDb)\n",
"bgroup.runAll()\n",
"bgroup.plotAll(closefigs=False)"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"masked_array = bundle.metricValues*3600 # To get the densities in sq-arcmin"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"masked_array.mask = bundle.metricValues.mask # Getting the mask as well"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now we are going to query the polygon corresponding to the DC2 area"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"vertices_ang = numpy.array( [[71.46, -27.25], [73.79, -44.33], [49.92, -44.33], [52.25, -27.25]])\n",
"vertices_ang = numpy.radians(vertices_ang)\n",
"vertices_vec = hp.ang2vec(numpy.pi/2-vertices_ang[:,1],vertices_ang[:,0])"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"polygon = hp.query_polygon(hp.get_nside(masked_array.data),vertices_vec)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now, let's check the test-visit (40318), the pointing position is ```rightascension 65.28692317669938916, declination -40.31606066282135004```"
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"vec_40318 = hp.ang2vec(numpy.pi/2.-numpy.radians(-40.31606),numpy.radians(65.2869))"
]
},
{
"cell_type": "code",
"execution_count": 32,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"radius = numpy.radians(3.5/2) # Assume a 3.5 deg aperture diameter\n",
"disk = hp.query_disc(hp.get_nside(masked_array.data), vec_40318, radius)"
]
},
{
"cell_type": "code",
"execution_count": 33,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"(1, 20)"
]
},
"execution_count": 33,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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EpGpQ98oovbnyTZqnNqd76+5B8SGdhtClZZcE1UpEJL5qVKIH6NyiM1efenWZ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\nRMTn/j8JT2yKMBQ4fAAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x11a2da0d0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.hist(masked_array[masked_array>0],range=(0,100),bins=300,histtype='step',label='LSST')\n",
"plt.hist(masked_array[polygon],range=(0,100),bins=300,histtype='step',label='DC2 Run 2.0')\n",
"plt.hist(masked_array[disk],range=(0,100),bins=300,histtype='step',label='DC2 visit 40318')\n",
"plt.xlabel(r'$\\rho_{*}$ [stars arcmin$^{-2}$]',fontsize=16)\n",
"#plt.xscale('log')\n",
"plt.yscale('log')\n",
"plt.legend(loc='best')\n",
"plt.xlim(1,20)"
]
},
{
"cell_type": "code",
"execution_count": 31,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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iD+B4U2wBgbeGKR5YpsVj8ADGaaoNIPDWNNUDDACczZSv/QLvFFq7MOmDzbgZxQMYhx6u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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x119a07e50>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"test = numpy.zeros(len(masked_array))\n",
"test[polygon]=1\n",
"hp.mollview(test)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 2",
"language": "python",
"name": "python2"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 2
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython2",
"version": "2.7.11"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
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