FiniteVolumeGPU/Desingularization.ipynb
André R. Brodtkorb fc4a07bd11 Updated figures
2019-11-26 07:11:24 +00:00

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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"%matplotlib inline\n",
"\n",
"from matplotlib import rc\n",
"\n",
"import numpy as np\n",
"from matplotlib import pyplot as plt"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"plt.rcParams[\"text.usetex\"] = True\n",
"plt.rcParams[\"font.family\"] = 'serif'"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"def setBwStyles(ax):\n",
" from cycler import cycler\n",
"\n",
" ax.set_prop_cycle( #cycler('marker', ['.', 'x', 4, '+', '*', '1']) +\n",
" #cycler('linestyle', ['-.', '--', ':', '-.', '--', ':']) +\n",
" #cycler('markersize', [15, 15, 15, 15, 15, 15]) +\n",
" cycler('color', ['k', 'k', 'k', 'k', 'k', 'k']) )"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/home/andreb/miniconda3/lib/python3.7/site-packages/ipykernel_launcher.py:35: RuntimeWarning: invalid value encountered in true_divide\n"
]
},
{
"data": {
"image/png": 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AV/4vS6sYYA6r+XUFmTBhgrRs2VJbb9mypRw5csTmmKeeekoee+wxh3Pfeecdp98vltfo0aO1FtQPP/zQ4/c5btw4efrppx22T506VUREdu3apbWuRURESFpammRlZUnv3r21Y8uUKSMLFy6UatWqSXR0tJw4cUKWLl0qTz/9tPz6669y9OhR6dKli/Tr108OHDigfT/XrFlTBg4cKHPmzJHz58/LqVOndLvPyZMny+7duyU2NlYmTpyo3Ue3bt2kTJky0q5dO1m2bJnTriVLly6VqKgoiY6OlrZt20rv3r3lhRdekGHDhsmgQYPkmWeekS5dush9990nvXv3lqSkJIf3yMzMlLVr18qLL74oXbp0ka1bt+r29fzoo49k5cqVYjKZJCsry+GXFMsvU6dPn5ZNmzZpv2BkZ2fL/Pnz5ZNPPpFffvlFrly5UuSffdevX5eDBw/K999/b9NQ4KnXhx9+KMePH5cjR46IyWSS7Oxs2b17t02XpqysLDl06NBNfwJhMpkkKSnJppU4JyfH5hez5ORkuXr1aoHvU79+fUExB1sl5jDmk5RSgwDMARAqIiluHB8F80Nik0VkrN2+JjA/VDZWRCbfRE3777zzzga//fZbUd+CqFhduHABd955p822w4cPo2rVqvmed/nyZRw4cACHDh3CuXPncOnSJWzbtk0blSAgIKDAp/SVUvDln0F0Q6lSpdweaL506dIICgpCVlYWcnJynB5TpkwZlCpVCllZWcUygH1AQAACAwO1yUSsa83JySnwe9nbOPu35erfW6lSpRAYGIhSpUoBgM24zu4oVaoUgoODkZubC5PJ5PLvqzj/vSuloJTS6rC/dn4/nwICArTzLS9r9kHK6O8NS33Ovt6We7E+zvp4yzmu7iUgIMDmuCI6ICINb+YNCiOwuC7kZULy2RfuzhsopVzNrRl96NAhhIaGFr4qIi9xxx133PR7uPPDnqHWfxQmfGZnZzsESHvWE2MUB5PJ5LSmgur0Vs7+bbn695abm3tTvzzk5uYiIyOjSDXpxT6M2V87v59PRgfVwnL19yoiN/1Loa/9XQAlbxxb59MGmYXl/el8zkwiIiIi8molqsVWRFLymuDDnOy2tOK6NQ2Rq2b1vJbcBkUqkIiIiIiKrEQF2zwb4bwrQpjV/pty5513gn1syVt8/PHHmDBhgkffs2/fvnjzzTdRrVo1m/5nt99+O/7++28A5j6S169fv+mPsnr27ImlS5cW+rz69es7THVrlAoVKiA9Pb3A4wYMGICJEyeibNmy+Prrr5GSkoKoqCj89NNP6Nu3L9LT01G1alU0b978puq5++67853i15p138SOHTsiOzsbmzZt0vZ36dIF33//vc05v/32G4YNG4bdu3cDAIYOHYp///vfAIDt27cjNjYWaWlp2vHly5fHqVOnbL6XDh8+jE8++QQrVqxw6+/OleDgYDz33HN4+umn0ahRI4f9P//8M3r06IFSpUrhrbfewpAhQ6CUwvDhw/Gf//wHADBhwgSMGjUKSilcuHABa9asQevWrVG+fHl069YNKSkpmDlzJn788UfMmjULbdu2xZdffolJkyYhJSUFEyZMQPXq1QGYP7ZftGgRKlWqhG3btmHfvn2oWbMmfvnlFzRo0ABXrlxBeHg4EhIS3J5FDzDPbtWvXz8EBJg/iD148CDWr1+PRx99FPXr1wdgnhI6NTUVUVFRDueLCBISErBjxw5cunQJnTp1QnR0dIHX3bVrFw4fPowGDRqgfv36KF26tNs1A0CfPn3www8/uH387Nmz8dRTT7l1bGZmJsqWLevQR9YI//rXv9yeTSw4OBjHjh1DcHCwzlXpr2XLloX6PvaI4nxSzdMvFG24L07QQCVKWlqa07Fii/oaOnSozdOxJ06ckKSkJMnNzdXGOgUgzZs3l3LlyjmcHxYW5vR9rc+1fr399tsO28qWLWuz7mz2Meun2Av7KupsZs4GXo+MjJSLFy/K999/X+D57s40VLt27SLfW/Xq1eXMmTM22/KeXBbA/OS+9T7rMXZnz54tP//8s83+r776SgYOHGjztcnJyZGTJ09Ku3btpG3btg6TM+zfv19uvfVW7RzLZBHOXLt2TVavXi1DhgyRpk2bFvp+27VrV+Df5+XLlx2eiE9PT5fPP/9cfvvttwLPtx7C7MqVKx4Zc7Rhw4aF+n4t6Al1b1VS7rNRo0Zu32edOnWMLtdjONxX4UPka3nfCA7BFjeG9nIIqzCPjGA/pW4ygCYeqInBlrxSfHy81KlTp8iBqE6dOhIfH2/znsuWLdPCzC+//GJz/IgRIyQkJMThfZo3b+70/evWreuwLSAgQBYtWuSw3X7osDvvvNPhmCFDhhT5Xm+//XabiRsmT57sMnhbvzZv3izDhg2z2XbXXXdpf1/2odH+tW7dOre+lpYxZov62rFjh3z00UdSvXp1GTdunPznP//R9k2fPl1at26t1Z6TkyOrVq2SJUuWaOO2duzYUQBIcHCwnD17VlJTU7WAMmrUKLfu4dSpU/L4449L48aNZfv27W6ds3379kLfa0xMjFvv7U2Kcp87duwwuuxC43361306w2DrfnicA/N0usl53wQ787YNsjvuLzifjCEE5hba1/JeS+GBUCsMtuTlitp6a99Ka/H4449rx9i3kC5ZskSqVq3q8F5PPfWU02t06NDBYVutWrVk1apVNtvKli0rTzzxhM22Ll26SGBgoM22SpUqFTn4de3aVVq0aCGAeUzX06dPS2JiovTo0SPf8yyst7Vs2VLbHh8fL506dXJ5/l9//eXW19HZpBb2r2HDhrn8WlepUsVmuk6TySTffPONfPHFF5KdnS3p6ekSHx/vcjzM1NRU+fzzz+XPP//UtmVmZmozjunhxIkTUqVKlUJ/LStWrOhTU5MW9T7tv6bejvdpnjbX1S+7vnafrjDY+sELDLbk5f73v/9JaGio2/+RzJ492+V73Xvvvdpx1h9nA5ATJ05IrVq1HN7vjTfecHqdl156yWFby5YtZcOGDTbb7rjjDunTp4/NtpdfflluueWWIgdZ61fVqlVl27Ztsm/fPhk6dKisWLFCu9/PP//c5XkVKlTQjrPePmDAAIe/t4kTJzp9D3dnspo2bZrLOiIjI21a1uPj4yUiIsLhOHe7PXiL6dOnF/lr6kv36uw+69SpI6+//rr06NFD2rVrJw899JBUrlyZ9+kDnN2ns3+jzj5N86X7dIXB1g9eDLbkrXJycuStt95y6yN1+yDqinVLhPU870FBQWIymSQqKsrh/b744guX4cN+W+/evR26OLRv314GDBhgs+3DDz+UGjVqaOs1atRw6AZhPbOWq1dYWFi+f4erV6+2Ob5NmzbasnU3ggkTJghg/qjevn+piLnl/K233pL777/f5v3clZGRIY0aNZKgoCBtSlrA3ErrbPYk+5b6gu7TWxXmFzJfvlfr+/Tnrynv8wZ/uE9nGGz94MVgS94oJSVF6xdZ2JerKXavXbvm8pyaNWuKiDjt+2r/8JHltWbNGodtY8aMkZ07d9psGzhwoAwfPtxm25IlS+S2227T1h944AFJSEjQPubr06dPvv1SW7RoIV27di3wo/TffvvN5rxNmzbJhg0bZPPmzTYPDOXm5sqPP/5Y4EeJubm50rNnT4mIiJDVq1cX6mtqMpkkLS1NEhISpGvXrg79n52Jj4936z69lfW9rlq1ymlrHgCpXLmyvPPOOz57ryXla8r7dOTL9+kMg60fvBhsydscOXLEacAszMt67nWLY8eOuTz+oYceEhGRxo0bO+yzfyIfgJQpU0b27NnjsP3jjz+WAwcO2GybOHGizZP6AGTr1q02D5T17dtXq/PcuXMiIhIbG+uy3pdfftmtv8ujR4/anHfq1CkPfIWoqK5evSoLFizQPrru0aOHLFiwwGefnCfyN0YE25I4ji1RiREfH4+ePXsiOTlZ29asWTPs2LHD4dhhw4ZBRDB79myHfevXr8czzzxjs+306dMur3vXXXcBgMOYliEhIQgLc5wfpVatWihbtqzD9oiICIftderUwfHjx222RUZGokKFCjbHWFjGD61YsaK2LTw8HElJNyYZrFu3rst7sb927dq1cfLkSTRo0AA1atRw6zzSR3BwMPr374/+/fsbXQoReYmSNqUuUYnx7bff4rHHHrMJtW+99ZbD4OyRkZGIj4/HzJkzMWvWLMTHx9sEQwBYt26dw/ufOXPG5bXvv/9+AI7BtlatWk4HcI+IiHA6GHnt2rUdgm3t2rVRrlw5bb1s2bKoUqUKatasqW2zDEhvLTIyUltu1aqVzT5nA9Y7ExQUhI0bN2LatGlYs2aNNhg+ERF5B7bYEvmhRYsW4dlnn0Vubi4Ac/j76quv0LNnT5uAN2zYMEyaNMmmtTMmJgZ79+7F2LFjtdbb33//3eEa+QXbO++8E4BjsI2IiEBAQACCgoJw/fp1m+2ugq39e9SuXRsHDhywWVdK4bXXXkNCQgLq1KmD3r17O7zX4MGDsXPnTgQEBGD8+PFYuXKlts/dFlsAuO222/DKK6+4fTwRERUfBlsiPzNv3jwMHjzY0ucboaGh+OGHH9CiRQsA5u4Jr776KkaMGIGYmBin71GxYkXMmjULsbGxiIuLw9SpUx2Oya8rgqX11FmLLXBjul0LZ8G2XLlyCAsLg1IKrVu3xs8//4xmzZqhbt26NlN93nPPPQCAJk2aOO1iYVGtWjUtzF65ckUL16VLl3a7xZaIiLwbgy2RH5k7dy4GDx6srVepUgUbN25E48aNtW3R0dFYsWKFW+8XExPjMvy6arFVSqFatWoA8g+26enp2nZnwTYiIkKb4339+vXYvHkzWrZsCaUU2rdvj9dffx1//fUX3n33XbfuxVrFihXxzjvvYNasWRg1apRN/1siIvJdDLZEfmLZsmUYMmSItl6jRg3Ex8dr3QI8zVWwrVy5MkqVKgUg/2BrLSIiAoGBgQgICIDJZAJg7mJgERwcjPbt22vrAQEBeP/992+q/rFjx2Ls2LE39R5ERORd+OQDkR+Ij4/H008/rXU/qFmzJn7++WfdQi3guiuCdR9ed4OtpZ+sdautdbAlIiJyB4MtkY/bsWMHunXrhuzsbADmPrXr16+36YfqaSaTCWfPnnW6LyIiQlsuTIstAAZbIiK6KQy2RD7s5MmT6NSpk9ZftVy5cli7di0aNmyo63UvXbpk8/CXNUt4BZyPigDYBtsKFSrglltuAWAbbK0DMhERkTsYbIl8VGZmJrp164a///4bABAYGIjly5drY8jqyZ0REQDbYFupUiXtIS3rYGv9kFjVqlW17bfffrvH6iUiopKBwZbIB4kIBgwYgN27d2vb5s6di44dOxbL9fMbw9ZVsLVuybUPthYTJkxAnTp18Nxzz+GBBx7wVLlERFRCcFQEIh80efJkLF68WFsfOXIknn/++WK7vl7Btnv37ujevbunyiQiohKGLbZEPmb9+vUYN26cth4TE4MpU6YUaw35dUWwDrCVK1fWluvVq6ctuwq2REREN4PBlsiHnD9/Hv3799eG9apbty6WLFmCwMDi/fDF3Rbbfv364b777kPjxo0xatQobfuDDz6oLXfo0EGfIomIqMRhVwQiH2EymfDMM89oD4sFBwdjxYoVCA8PL/ZaXAXb0NBQlC1bVlu/9dZb8fvvvzsc9+qrryIiIgK33norWrZsqVudRERUsjDYEvmIqVOnYsOGDdr6Rx99ZDNVbnFy1RXBurU2P6VLl0a/fv08WRIRERG7IhD5gu3bt+Of//yntt69e3cMHjzYsHpctdha968lIiIqbgy2RF4uIyMDffv2RU5ODgBzePzss8+0sV+L25UrV5CWluZ0X/369Yu5GiIiohvYFYHIy7355ptISEgAAAQEBGDRokUICwszrB5nrbWNGjVCZGQkXn31VQMqIiIiMmOwJfJiv//+O6ZPn66tjxkzBq1btzawIufBdtKkSejUqZMB1RAREd3ArghEXiorKwsvvPCCNrTXHXfcgX/961/GFgXnD441b97cgEqIiIhsMdgSeal33nkHBw8eBAAopTB//nwEBwcbXJVji22dOnVQpUoVgwhcBnsAACAASURBVKohIiK6gcGWyAv98ccf+OCDD7T14cOH20xqYCT7YNusWTODKiEiIrLFYEvkZUwmE4YNG4bc3FwAQGRkJN577z2Dq7rBvisCgy0REXkLBlsiL7Nw4UL89ttv2vrcuXNRoUIFAyuyxWBLRETeisGWyIukpqZi7Nix2nqPHj3Qvn17AytydPLkSZv1pk2bGlQJERGRLQZbIi/y9ttv48KFCwCAsmXLYurUqQZXZOv69eu4dOmStl67dm2EhoYaWBEREdENDLZEXmL//v2Ii4vT1seNG4c6deoYWJGjc+fO2azfd999BlVCRETkiMGWyAuICEaMGKE9MFa3bl2MGTPG4Koc2Y+IwGBLRETehMGWyAusW7cOmzZt0tanT5/uFWPW2rPvX8sHx4iIyJsw2BIZLDc3F6+//rq23r59ezz++OMGVuTanj17bNbvvfdegyohIiJyxGBLZLBFixZh79692vqkSZOglDKwItf+/PNPbTkkJASVKlUysBoiIiJbxR5slVL8n5Aoz7Vr1/Dmm29q63379vXqVtCEhARtuXbt2gZWQkRE5MiIFtveSqn3DbgukdeZNWuW1m81KCgI77zzjsEV5c96VIT69esbWAkREZGjQL3eWCkVCWASgBAA/wUQLyJ/iMi8vP2jRWSKXtcn8nYpKSk2U+UOHToUUVFRBlaUv9zcXFy5ckVbb9GihYHVEBEROdKzxXYuAAUgFcB4ADuVUkeVUv9WSsUACNfx2kReb8qUKbh8+TIAoGLFinjjjTcMrih/hw4dgoho661atTKwGiIiIke6tdgC2CAiH1pWlFJRAAYDGAJgLIDJOl6byKtdvnzZZjKG0aNHo0qVKgZW5Ny+ffvw9ttvo3nz5ihfvrzNvnr16hlUFRERkXN6BtsU6xURSYQ50I7V8ZpEPmHGjBnax/ohISEYNWqUwRU516tXLxw8eBDLli1D27Ztte2lSpXiVLpEROR1PNIVIa+LwSylVHerUQ8u5/WzJSIrKSkpmDFjhrb+yiuveO2wWQcPHtSWf/vtN205LCzMa4ckIyKikstTfWzDAbQAsBxAslLqKIBHACxVSt3toWsQ+YWPP/4YqampAIBbbrkFI0aMMLgi57Kzs23Ws7KytOVatWoVdzlEREQF8lSw3SEizUQkAMCjMAfc5gCaAtillNqulHpfKfWwh65H5JPS0tLw0UcfaesjR45ESEiIgRW5Zj20l7077rijGCshIiJyj6eCbU/LgohsFJHXRaQZgFAAvQHszDsmXimVmxd0B3jo2kQ+45NPPkFycjIA80gII0eONLgi186cOeNyHydnICIib+SRYCsiqa62i8gyERkiIvVgDrpDARwD0MsT1ybyFRkZGZg2bZq2PmLECISFhRlYUf7yC7Y1a9YsxkqIiIjco+eoCA7yAvDcvBdRifLll18iKSkJAFC+fHm88sorBleUv/yCLfvYEhGRNzJiSl2iEic3N9emtfbFF19EeLh3z1HCFlsiIvI1NxVslVL3KqUSlFLf5M0mRkROfPfdd0hMTARgHgPWm/vWWjDYEhGRr7mpYCsiu/P6zn4AoFfeeLbvc/xaohtEBB9+qE3Ch549eyIyMtK4gtzkKtgGBASgevXqxVwNERFRwTz18NjuvAfEbgOwA8DcvJEPRltN2EBUIm3ZsgXbtm3T1l999VUDq3Gfq2BbvXp1BAYWa/d8IiIit3i8j62ILBeRDjBP0KAAbFJKrVdKPenpaxH5gilTpmjLbdu2RbNmzQysxj0i4jLYshsCERF5K90eHssb6uvDvPFshwBokdcfd7ZS6h69rkvkTQ4fPoxVq1Zp62PGjDGwGvclJyfj2rVrTvdxRAQiIvJWxTIqgogcy5u0oR6AZQD+mdcfdzT745I/i4uLg4gAABo0aICOHTsaXJF7Tp8+7XIfW2yJiMhbFftwXyISLyK98vrjpsLcH3e9UmpgcddCpKe0tDQsWLBAW3/llVcQEOAbI+xxRAQiIvJFhv4vKyLz8vrj9gIQqpRab2Q9RJ60YMECpKenAwBCQ0PRt29fgytyX34ttuyKQERE3sormo+s+uM+anQtRJ4gIpg5c6a2/vzzz6NcuXIGVlQ47IpARES+qNiDLYf/opJg06ZNOHTokLY+dOhQA6spPHZFICIiX6RbsM0nwPbOm8SBIyOQ37JurX3sscdQr149A6spPLbYEhGRL9JzlPXjSqlbAGwEsAHARhH5Q0TmAYBSajSAP3S8PpEhTp06hZUrV2rrL730koHVFI2rFtuQkBCUL1++mKshIiJyj57Bti6AwTBP1PBPAJOUUikwz0yWCCBMx2sTGWbOnDkwmUwAgLp16/rMEF/WXLXYsrWWiIi8mW7BVkRSAUzOe0Ep1QRAOwDtYR4Foale1yYySnZ2NubNm6etDx06FKVKlTKwosLLyMhASkqK030cEYGIiLxZsU34LiK7AOwC8KFSqh2AJgCOF9f1iYrD6tWrcfHiRQBAmTJl8MILLxhcUeHxwTEiIvJVhgz3JSLxAKKMuDaRnubPn68tx8bGIjw83MBqisY+2Fq3ODPYEhGRN9NzVIQxSqkkpdR2pdSrHOaL/N2pU6fwww8/aOsDBgwwsJqis+9fW7duXQBAQEAAevXqZURJREREbtGzK0I0zH1pewEYD2CyUioR5u4IRH7nyy+/hIgAAKKiotCmTRuDKyoa+2DboUMHfPfddwgJCWEfWyIi8mp6dkX4S0TiRWSwiIQBeBTAcgChAJIBDNLx2kTFymQy4fPPP9fWBwwYgIAAr5jYr9DsuyI0adIEjRo1YqglIiKvp2eL7Vyl1KcAdojIZyKyEeYxbYn8zo8//ojjx48DMH9k/+yzzxpb0E04efKkzXrTphzAhIiIfIPew30NUUrVVUpVEpE0va5FZDTrh8Yee+wxn37IKiEhQVsODAxEgwYNDKyGiIjIfbp/Vioix6xDLR8iI39z+fJlfPvtt9q6rz40ZmHdFSE6OhqlS5c2sBoiIiL3GdEJsLdS6n0Drkuki//7v/9DVlYWAKBq1aro0qWLwRUV3fXr15GWduPDlXvvvdfAaoiIiApHt64ISqlIAJMAhAD4L4B4EflDRObl7R8tIlP0uj5RcVmwYIG2/MwzzyAoKMjAam7OuXPnbNZbtWplUCVERESFp2eL7VwACkAqzMN97VRKHVVK/VspFQPA90auJ7Jz+PBhbN++XVv35YfGAODEiRM26/fdd59BlRARERWensF2g4j0ynuFAbgNwLcAhgDYoON1iYrNokWLtOW7774bjRo1MrCam7d161ab9bvuusugSoiIiApPz+G+UqxXRCQRwNi8F5HPExH85z//0db79etnYDWesXPnTm25UqVKKFOmjIHVEBERFY5HWmzzuhjMUkp1txr14HJeP1siv/Trr7/i2LFjAAClFPr06WNwRTfv0KFD2nKNGjUMrISIiKjwPNUVIRxAC5hnFktWSh0F8AiApUqpuz10DSKvYt1aGxMT49Nj11qcOnVKW65Xr56BlRARERWep7oi7BCRDgCglHoE5lD7CIAmAHYppXbBPOvYf0XkRw9dE0qpSQCSYO72EA3gGxHZ5ea5ITCP2mDpMhEFYGxelwmifGVnZ+Obb77R1vv3729gNZ6Rm5uL5ORkbf3uu/k7KRER+RZPtdj2tCyIyEYReV1EmgEIBdAbwM68Y+KVUrlKqe1KqZsaxV4ptRPAdhGZLCJzAbwPcwtxlBvnhgA4BmCniIwVEUvf3515+4jytW7dOi0Eli1bFt27dze4IvfNmDHDYdpcwDzCg8lk0tYtIyKcPHkSM2bMKLb6iIiIisojwTZv+lyn20VkmYgMEZF6MAfdoTCHyl5FvZ5SahCAKBFZZnWtFADLACx14y3m5Z0z1+r8RJhblScVtS4qORYuXKgtd+3aFZUq+caEejNmzMCoUaPw8MMPO4Rb62HLAPOsYydPnsTDDz+MUaNGMdwSEZHXK9aZx/KC7ty8IcAevYm36glzCLW3HUATN1pdYwE463KQCGDQTdRFJUBqaiq+//57bd2XRkPo3r07oqKikJiYiIcffhgLFixAhw4d8Nlnn+HXX3+1OdZkMuHhhx9GYmIioqKifKpVmoiISiY9h/vS0yMwt87aSylgP6xC72Unu5PyjoliX1tyZdWqVdoUuuHh4ejQoYPBFbmvdu3a+PHHH7XA+sILLyA3Nxc//fQT7rjjDu24oKAgdO3aVQu1P/74I2rXrm1g5URE5GtEpNiv6XPBtoBgauGyn62IpCilUgCEOdltmQ0tCs5bdK3r2O9iV3R+55HvW7Jkibb85JNP+twUupZw26ZNGxw/fhwAcP36dRw5ckQ7xmQyMdQSEVGhnTp1CmvXrsXatWtthpAsLj4XbHEjkKY42Zdf2LU2F8BrTrY/kvdngQ+gUcmUkpKC9evXa+u9ehW5q7ihateujblz59q0NmdnZ2vLubm5DLVERFSgnJwc/Prrr1qY3bt3r6H1+GKwtcivH214PvsgImOVUk2UUq+JyGQAUErFwtxvtwncCMgi0tDZ9ryW3AYFnU++aeXKlbh+/ToAoHLlymjbtq2xBd2E3Nxcl/sqVKjAUEtERE5duHABP/zwA9auXYv169cjNdXpGAKG8MVgm1/otLTmJhX0JiLSXikVmzfCQgjMobZ53m72ryWnrLsh9OjRA4GBvvhPyOzMmTMu9z377LMMtUREBMDcPW3Hjh1aq6z9KDr26tWrh86dO+O7775zOryknnzuf+W8PrKA8z6yllZct4Kp9XBhAKCUGleY86lkSU5OxoYNG7R1X+2GYJFfsL311luLsRIiIvI2V69eRXx8PFauXInVq1fjwoULLo8tXbo02rRpg86dO6NTp0647bbbAMDm/8zi4nPBNs9GOO+KEGa1vyiiACzLGxOXyIZ1N4SqVauidevWBld0c06fPu1y3yeffIL+/fuz1ZaIqAS5dOkS1qxZg5UrV2L9+vXIzMx0eWytWrXQqVMndO7cGTExMahQoUIxVuqarwbbpXA+kUI0gF0FBdO87geTANS1HKuUagJz/9qe+Z1LJUtubi7++9//AoDNFLq+3g0BABISElzuO3/+PB5++GH2syUi8nMJCQlYuXIlVq1ahV9++cVmBkprAQEBePDBB7Uw26hRI+R9gu5VDPufWSn1jYj0Lsq5IjJXKTVWKRVr6U6QNwzYIADtrK4RAiAZ5rDb1OotQmDV3SDvuHkABnP8WrK2detWdOrUCQBQqlQpbbuvd0M4efIktmzZ4nJ/eHi4NokDwy0Rkf8wmUzYvn07Vq5ciZUrV+LAgQMujy1fvjw6duyIrl27olOnTggPz/fZfK9w08FWKVUJQLNCntYEN4bWKqqmAMYppSxDczUH0E5EdlkOyOuPmwi7PrMiMlkpFZ53vqVLw1gRKWoXBvJTa9eu1ZYtowhUq1YNDz30kFEl3TTLNLnWw3vZS0pKQkBAAMMtEZEfyM3NxZYtW7Bs2TJ8++23BT5j8fjjj6Nr166IiYlBcHBwMVZ68zzRYtscwAYAAsC+TdrZNut9RZbXhWCsG8c5nTBBRAo8l2jdunUO23r06GHTeutLLKE2MbHgDyYsH0cx3BIR+Z6cnBz873//w7Jly/Ddd9/l+/BXw4YN0bVrV3Tt2hXNmjVDQEBAMVbqWZ4ItpcB7ALQU0SOWTYqpe4F0BvAHNgO0RUO8+QIn3rg2kS6OX/+PHbt2uWwvUePHgZU4xnfffcdEhMTERERgVOnTrl1jqXl9rvvvsPIkSN1rpCIiIoqOzsb8fHxWL58OVasWIGkJOejnwYEBKBVq1ZamI2O9p9JUz0RbBMBvG8davO0E5HXnRyfCmCIUmo0gD88cH0iXVjPMGZRrlw5n+6GYAmmR48excyZM906x2Qy4emnn2aoJSLyQteuXcN///tfLF++HCtXrnQ5WUJgYCBiYmIQGxuLrl27omrVqsVcafG46WArIqkAljvZVdCjct4zTQWVSCKS71Ama9ascdhWpUoVZGdnu+yfWq5cOa98StTayJEjcd999xXqnGvXrulUDRERFdb169exYcMGLF68GCtWrMCVK1ecHle6dGm0b98esbGxeOKJJxAW5mwKAP+i56gIBf3tRRWwn0hXBw4cQKNGjQp1zokTJ/Idq2///v1o0MD7Z1S+fLnAWaNtpKRwaGciIk/JyMjQ/i9JT09H+fLlCzwnNzcXmzdvxtdff41ly5a5/DkeHByMxx57DD169ECXLl1wyy23eLR2b6dnsFVKqe4i8p2THTEAQnW8NlGBnD0YdrPWrl3rE8G2sEJCnM2HQkREehIRbN++HV9//TWWLFmCs2fPOj2ufPny6Ny5M3r06IFOnTp5zWQJRtAz2L4P4JhS6p8wzwRm6cHcHubhwerqeG2iAg0ePBiJiYmYPXu2R95v6NChGDx4sEfeS2+hoYX7vbJr1646VUJERPb27t2LxYsXY/HixS5HsSlTpgw6d+6Mp556Cp07d0a5cuWKuUrvpFuwFZHUvDFml8J2WK5dAJqJSJpe1yZyR8WKFTFr1izExsbihRdewIkTJ4r0PnXq1MHnn3+OmJgYD1eon8IM5VK5cmX07MkJ+YiI9HTmzBksWrQICxcuxL59+5weU6pUKbRv3x59+vRB165dS1w3A3foOvNY3liz7ZVSt8DcpzYx72EzIq8RExODvXv3YuzYsYVuvR06dCgmTZqEihUr6lSdPs6dO+fWcQEBAfj88899boBuIiJfYelmsHHjRog4DvGvlELr1q3x1FNPITY2FpUrVzagSt+ha7DNm5VsEIAUEfksb9toAHPZYkvexNJ627hxYwwdOtStc2bPno0hQ4boXJnnmUwml/20rFWuXBmff/45Hn/88WKoiojIP2VkZNis5+bm2gwn+eKLLzo9r3nz5njqqafQq1cv1KpVS9ca/YluwVYpVRfAzrzVDQA+y1ueB2CyUuo1hlvyNqdPn3b72PymJPRmFy9eRE5OjtN9FStWRIcOHdC1a1f07NmTLbVERDepqA9ybdu2zcOVlAx6zpn2AcyzkYXB/PAYAHPfWxEZAmCcjtcmKpLCjJSgx6gKxSG/QB4TE4Nly5ahf//+DLVERDepsEMr0s3TM9geE5H4vGXHTiO20+wSGc7VFLqu7Ny5M9+5t71VfsG2Zs2axVgJEZH/MZlM2LhxI/r06YMaNWo4Pcb6Ad4TJ04gPT3d4UVFo2ewTbBadjYVEydoIK/ibApdAGjSpInLfreuzvFm9t0trGdKYz8uIqKiOXnyJCZOnIjo6Gi0b98eixcvRlZWls0xTZs2xYwZM5CQcCMihYeHo3z58g4vKho9g20zpZTlUXGbFlul1JMAwnW8NlGhuepaMGPGDMyaNQvx8fGoU6eOW+d4M/sW2zJlymjLbLElInJfVlYWli5dio4dOyIyMhJvvfUWjh8/bnNM1apVMXr0aOzfvx87duzAiBEjULVqVWMKLgH0HBVhMoDdSqmlAEKUUpdhbqXtDaAJOPMYeZnff//dYVtYWBjuv/9+AM6HBXN2jrezD7bR0dHYv38/SpcujbZt2xpTFBGRD9m3bx/mz5+PhQsXIikpyWF/QEAAOnXqhAEDBqBz584ICgoyoMqSSc8JGhKVUkMALAEQAvOwXwpAIjhBA3mh+Ph4vPrqq7h27ZrWxaBjx44IDLzxz8R6Uoe4uDhMnTrVqHKLzL4rwpAhQxAaGoqGDRuidu3aBlVFROTdrl27hmXLlmH27Nn49ddfnR4THR2NAQMG4Nlnn3XZv5b0pfcEDRsBhCml7sWNCRp263lNoqKKjo7Gt99+a/PDqHPnzk6PjYmJ8amZxqzZB9sWLVqgRYsWBlVDROTdEhISMGfOHHzxxRdOW2fLli2L2NhYDBgwAK1bt7Z5boGKn57j2FaytMrmhdndSql7lFKRAC6zxZa80a5du7SRDgICAtCxY0eDK/K8U6dOaculSpXCXXfdZWA1RETeJycnB6tXr8bs2bOxYcMGp8c0bdoUAwcORJ8+fQo9tW358uWdzjJGN0/PFtvkvEkYrD+rVQDaAxislLpHRHRtMSYqrDVr1mjLDzzwAMLCwgysxvPS0tKQmZmprderVw9ly5Y1sCIiIu9x+vRpfPbZZ5g3b57TGRrLli2Lvn37YsiQIWjWrJkBFVJB9AyWfwD4UCnVHuaJGq5YWm4BzFNKJeR/OlHx+/7777VlV90QfJn9g2P8wUxEJZ2I4Oeff0ZcXBxWrlyJ3Nxch2Pq16+PoUOHon///ggJCTGgSnKXnsF2MYCBADYBOK6UihWRH632b3R+GpExzp8/jx07dmjrJSHYNmnSxKBKiIiMdfXqVfzf//0f4uLi8OeffzrsDwoKQo8ePTB06FA89NBD7DvrI/QMtiIiu5VSdQHMA7BRKTVJRP6Ztz9Fx2sTFZr1mLS1a9dGo0aNDKxGH/YPjt17770GVUJEZIxTp05h9uzZmDt3rtOHwSIjIzF48GA8//zzqFatmgEV0s3QM9iGA4CIpADoqZQaBOBTpdQjAB4BcEnHaxMV2g8//KAtd+7c2S9/O9+3b5/N+j333GNQJURExUdEsGXLFsTFxeHbb7912t2gffv2GDFiBB577DGUKlXKgCrJE/QMto8AGGdZEZG5SqkdAJYCOAbgLwBTdLw+kdtyc3Ntnnz1x9EQANtgW7FiRYSGcp4UIvJfWVlZWLx4MeLi4rBr1y6H/eXKlcMzzzyD4cOHo0GDBgZUSJ6mZ7BtqpTaDuAbAMtE5LiI7AIQnTcb2ZM6XpuoUHbs2IHk5GQAQGBgIB5++GGDK9JHYmKitmw/PTARkb9ITk7GnDlzEBcXh3Pnzjnsj4yMxMsvv4wXXniBv+D7GT1nHgsAAKXULSKSarevp1KqnV7XJiosy0xjgHmYr4oVKxpYjX4sY/QC5qd8iYj8yfHjxzF9+nR89tlnyMjIcNgfExODESNGoEuXLuxu4Kd0H0fWPtRa2a73tYncZR1sH330UQMr0Vd6erq23LRpUwMrISLynB07dmDKlClYunQpTCaTzb4yZcqgX79+GDlyJCekKQGMnCBhHoDeBl6fCACQkpKCrVu3auv+GmxPnz5t8wO/TZs2BlZDROQoIyMDFSpUAGD+Rbx8+fIujzWZTFi3bh2mTJmCn376yWF/WFgYXnrpJbz00ksc3aAE8UiwVUoNBBBlGcpLKXUvgNfzOSUE5ofLiAy3adMm7QnZypUr++0QWPHx8Tbr/nqfROTfrl+/jkWLFmHy5Mk4ePCgw/6oqCj84x//wHPPPZdvMCb/5KkW28kAbgHwT6ttPQHsAnDZQ9cg0oV1N4T27dsjICDAwGr08/vvv2vLpUuXRpkyZQyshoiocK5evYr58+fjww8/xMmTJx3233fffRgzZgy6devG/rMlmKeCbVOYW2EtUgBsFJEOrk5QSi3x0LWJikxESkz/2j179mjLfAqYiHxFWloaZs+ejWnTpuHixYs2+5RS6Nq1K0aPHo0HHnjAL8cfp8LxSLAVkWP260qpwQWc9r4nrk10M44ePYoTJ05o6x06uPxdzOclJCRoyxEREQZWQkRUsKSkJEyaNAkff/wxUlJsJysNCgrCM888gzFjxuCOO+4wqELyRrpOqauUGiginzndKbJbx2sTucW6tfauu+7CrbfeamA1+snIyMDff/+trfM/AiIymrPhuKy31a9fH5mZmTb7g4ODMWjQIIwePZq/oJNTegbbZQDuBeA02BJ5g5LSDeHPP/+0WW/UqJFBlRARmVlGP3DFPtQCwLVr1zBjxgy9SiI/oOdTMhsBhLnaqZTizGNkqOzsbJshYvw52O7ebfsBSe3atQ2qhIiISD96BtvtAPKbXaygPrhEuvr999+1j72Cg4PRqlUrgyvSj32wrVWrlkGVEBGZHT58GAMHDkRgoPMPjydOnIgLFy4gPT3d5kWUHz27ItQFEK2UmoQbw35Zen9zHFsy3KZNm7TlVq1aITg42MBq9MVgS0Te4syZM3j//fcxb948ZGdn2+yrVasWTp8+DQD4xz/+wXFoqdD0DLaWMW0TAUTnvSxCHA8nKl7WExbExMQYWIm+cnJysHfvXpttNWrUMKgaIiqpzp07hw8++ABz5sxBVlaWzb5atWph/Pjx6N27N8LCXPZiJCqQnsE2UUSaudqplPqvjtcmyldGRobNhAXt2uXXa8a3HTlyxKZVpHLlyn7dOk1E3uXSpUv44IMPMHPmTFy7ds1mX82aNfHPf/4TAwYMQJkyZZyOlEBUGHoG27HONiql7oG5FXeSjtcmytfmzZuRk5MDAKhUqRKaNGlicEX6sZ6YAeAYtkRUPK5cuYKPPvoIU6ZMwZUrV2z21ahRA+PGjcPAgQP5izZ5lG7BVkTi7bcppW4BEA6gOQDR69pEBbHuX9u2bVuXDy/4gz/++MNmnf1riUhPWVlZ+PTTT/Hee+/ZjJ8NANWrV8e4ceMwaNAgBlrShe7/myulKsF22K+/YH6QbC44xi0ZxLp/rT93QwAcW2wZbIlID7m5uVi4cCHeeustnDx50mZfaGgoXn/9dbz88ssoV66cy/coX748RNjuRUWna7BVSi0B0MPFbqddFYj0dvnyZZtRAvz5wTGAwZaI9CUiWLFiBd544w0cOHDAZl+5cuUwatQojBkzBiEhfG6c9KdbsFVKjYG5ZbYDgJ4A5uTtigbQDOYWW6Ji99NPP2ktAlWrVkXDhg0Nrkg/Fy5cwPnz5222MdgSkads2bIFo0ePtnkYFwCCgoIwePBgjB8/HtWrVzeoOiqJ9GyxDReRIQCglHpERCxNZLsBLFNKvQ9gnI7XJ3LKfpgvpZSB1ejLvrUWYLAlopuXkJCA119/HcuXL7fZrpRCv3798Pbbb6Nu3boGVUclmZ4zjyVZLV9WKpI52AAAIABJREFUSkXa7b+s47WJXLJ+cKyk9a8FGGyJqOiSkpIwatQoNGjQwCHUPv7449izZw8WLFjAUEuG0buPbSTMkzFshLkrwqNWu6P0vDaRM2fOnMGhQ4e0dX/vX2s/IgJgHjeSiKgwsrKy8Mknn+Ddd99FSkqKzb7mzZtj6tSpeOihhwyqjugGXSdogDnQhopIuFKqslLqKIBlAJrgxvS6RMXmxx9/1JYjIyMRFeXfv1/Zt9iGhoZyikoicpuIYMmSJRg3bhyOHTtms69OnTp4//330bt3bwQE6PkBMJH79BzHdrld38UYmEPtWJhDrf+OiE9eyzrY+ntr7bVr12xapwF2QyAi923btg0jR450eDDslltuwfjx4zF8+HCORUteR9euCCKy3Go5FUB7Pa9HVJD//e9/2nLbtm2NK0RHIoLZs2djz549yM3NtdnHYEtEBTl//jzGjRuHL7/80mZ7YGAghg4digkTJqBy5crGFEdUAMOmW1JKRYrIcaOuTyXPmTNn8Ndff2nrbdq0MbAa/axYsQIvvfSS030MtkTkSnZ2NuLi4jBx4kSHKXC7deuGSZMm4fbbbzeoOiL3GDmP6CQAvQ28PpUw1q21kZGRqF27toHV6Kdv374u9zHYEpEz69atw6hRo3DkyBGb7XfddRfi4uL89hMu8j8eCbZ5Y9IW9imcWE9cm8hd1sHWX1trAXPfWlcYbInIWkJCAl555RV8//33NttDQ0Px7rvvYtCgQQgMNLINjKhwPPXd2h7mYLvDQ+9H5HElJdjmJyIiwugSiMgLpKen47333sO0adOQnZ2tbQ8ICMCQIUMwceJEhIeHG1ghUdF4KtgmAmiX94CYW5RSSzx0baICnT9/HocPH9bWW7dubWA1xmGLLVHJJiJYsWIFRowYgdOnT9vsa926NeLi4nD33XcbVB3RzfPUwHPvFybUWs7x0LWJCvTzzz9ryzVr1vTb8WtFJN/9DLZEJdexY8fw+OOP48knn7QJtREREfjmm2/w008/MdSSz/NIsBWR3UU47a+CDyHyDOtg26ZNG9iNsew3kpOTXe6rVKkSKlasWIzVEJE3yM7Oxvvvv4+GDRtizZo12vbSpUvjjTfewMGDB9GrVy+//blIJYshPcKVUrfA3B/3NiOuTyVPSelfa//RojW21hKVPD/99BOGDRuGgwcP2mxv164dZs6ciTvuuMOgyoj0oUuwVUrVBdAjn0PaAwjT49pE9i5duoR9+/Zp6/4cbM+cOeNyH4MtUclx8eJFjBkzBgsWLLDZXq1aNUybNg19+vRhCy35Jb1abKMATM5nfwqAJJ2uTWRj8+bN2nK1atX8eoBxttgSlWwmkwnz58/H2LFjbbomKaUwdOhQvPfeewgJCTGwQiJ96RVsLwPYKCId7HfkteY2AbBRp2sT2bDuhtC6dWu/bqVgiy1RyXXkyBEMGjTI5mceADRp0gSffvopmjdvblBlRMXHU6Mi2EsEMMfZDhE5JiLLAbyo07WJbJSU/rUAW2yJ/FVGRgaUUlBKISMjw2bf9evX8cEHH6Bx48Y2P+8qVqyIuLg4bNu2jaGWSgxdWmzzhv5aXsBh/ttsRl4jNTUVe/bs0db9PdiyxZaoZNm1axcGDhyI3bttByd68skn8fHHH6NGjRoGVUZkDL1abN3Bh8dId7/99ps2tmtoaCgaNGhgcEX6OnXqlMt9DLZE/uPq1asYO3YsWrRoYRNqq1evjuXLl2P58uUMtVQi6TUqwr0APsjnkGYA5upxbSJrW7Zs0ZYffPBBBAQY+buc/hhsifzf5s2bMXz4cCQkJNhsHzBgAD788EOEhoYaVBmR8fR6eCwM5iG9dsH8IJm1FACvi8g8na5NpPnll1+05QcffNDASvR35coVpKWlOd1Xrlw5PglN5Ccee+wxm/WoqCjMmzcPMTExBlVE5D30CraJAOaKyBCd3p+oQNevX8fWrVu19VatWhlYjf4K6l/rz6NBEPkT+4fDAGDTpk0O25RSGD58ON544w2UK1euOEoj8np6PTx2TCmVX1cEIt3t3r0bV69eBWCeOrJZs2YGV6QvjohA5B8qVKjg1nEigri4OMTFxWnrRCWdnh0O5yqlRud3gFJqtFJqvVKqu451UAll3b+2WbNmCA4ONrAa/THYEhFRSadnsN0gIlNc7VRKfQpgMIBlAIYqpe7RsRYqgUpS/1qAwZbIXyQlJeEf//iHy+5DFy5cQHp6usOLiHQe7kspNVApdTTvZd8q2wvAWBGZlzdD2WA9a6GSRURsWmz9vX8tYJ51yBUGWyLfsGfPHrRp0wbTpk3TuhYopTBixAjtmPLlyzt9EZG+wTYFwOsAdgP4A8BnSqlIQJtW9xaYR02wSNWxFiphEhMTceHCBW39gQceMLCa4nH48GFt2b6lh8GWyLuZTCZMnToVLVq0wL59+7Tt9erVw+bNm/Hvf//bwOqIfIeewbaJiNQTkV4i0hNANG60ylrGHbIeCixJx1qohLHuhnDnnXeicuXKBlZTPKzHsK1UqZLNPgZbIu91+vRpdOjQAaNHj0Z2dra2ffjw4fjjjz9KRFcqIk/Ra7gvwNxiqxGRFKXUZbtt1oNu8nFO8hj7iRlKgqSkG78b1qpVC6mpNz4EiYiIMKIkIirAsmXLMGjQICQnJ2vbatSoga+++gqPPPKIgZUR+SY9W2yjlVIVLSt5D4dZptF1Np1uuI61UAlj3WJbEvrXZmZm2rT0NGrUSFsuU6YMwsP5z4vIm6SlpeH5559Hz549bUJtjx498OeffzLUEhWRni22cwGkKqX+gjnIhgAYq5RqB2ASgN1Kqe4i8l1e6C306PFKqUkwd2FIgbmrwzcisiv/s7RzQwAMylsNz6tvqYhsLGwd5F2SkpJw8OBBbb0ktNgeO3bMZr1ly/9v797jmyzP/4F/7kIFgdK0VVQQhJShgIK29Dv0N92U1q+b89yUbR5AtrYDt+n2mo2d23QqYspOOE8tDt2JCSmTwfDUMHVfpzLaqFMQxIbz2bYpUCy0zf37I8nNkzRt0+bwJHk+79erL3I/OfSiafpcuXPd130pVqxYAYCbMxAlmrfffhu33XZbwOt2xIgR+N3vfoc5c+aEfL0OHz6cfWqJwhCzxFZK6RBCXA1v8tgMbzILAHnwdkNYL4R4TQjxXQBmAPn9eXwhRAOARVLKWt/YBKBBCFEkpXSF8RA2KWVAJwYhhF0IYfI/JiWnt99+W10eNWoUJk6cqGM08aEtvQCAuXPn4le/+hV2796NsrKyHu5FRPHU1dWFRx99FA8++CA8Ho86PnPmTPz5z39Gbm6ujtERpYZYztjCN/sZPAO6XXP91UKIWwA4gupteyWEKANg1iagvhreWgB29JEkCyGKATSEuKoUwHp4e+tSktImtv/v//0/Q8xW1tfXq8vDhg1DZmYmtm3bhv3792P8+PH6BUZEAID9+/fjtttuC9gad9CgQfjZz36G+++/H4MHx/R0TGQYMe1jGw4p5SopZX9bfVnQPWEGgI0A8nyzt70p8D1GKH3dlxLcO++8oy4boc0XAGzatEldPvPMMwF4a2uZ1BLp79VXX8X06dMDktoJEybgrbfewgMPPMCkliiKdEtshRArIrh7T1X17j6u96sDUCiEqAtKgitxqmSCklBnZyc2btyoxpdeeqmO0cTPjh071GUms0SJoaOjA1arFddccw0OHz6sjpeUlOC9997DzJkzdYyOKDXF9G2ib0OGQoSeBR3Qkk9NItrcy83MvT2Gr/63FkAxgBYhRDm8i882sr42uX300Uc4fvw4AGDw4MHIy8vTOaLYk1IGnDQnT56sYzREBHjfbH7zm9/Eu+++q44NHToUS5YsQWlpqSFKpIj0ELPEVghxL3qf/Rzo8k5/qzB3iOt6S3YDv7mUFl9XhQoA1fDugrYo3PsLITb1cBWr/3WkLUO4+OKLcfrpp+sYTXzs3bsXHR0dajxjxgwdoyGiF198EfPmzYPbfeo0NXnyZKxYsQIXXXSRjpERpb5YliIUAMiVUqaF+oJ3kVYkequF7bNpp28BmQlAEQAXvN0atgsh2DwwiWlnR4xShvDf//43YHzBBRfoFAmRsZ08eRL33HMPbr755oCkdt68edi4cSOTWqI4iGUpwkYp5fZerq8e4OP2Nivrn83tdXteX1eFIt9Wv4B3M4kKeGeY7UKICVLKUDPCipRyag+PvQnAlN7uS7GjnbE1Sv1aQ0Nggw9un0sUf3v37kVJSUlAV5YRI0bgmWeewa233qpjZETGomdXhMaB3EmTcIbavcw/i9tXH1sbvK29tI9bBW+bMBMGWP9L+mpqasK2bdvU2CgzttrFcoB3O04iip9//vOfuOSSSwKS2unTp6OhoYFJLVGcxTKxdQghftzL9ZWRPDZClyJka64Pybf4zBRqRta3a1ktQifNlOA2bNigLo8aNcow3QE++ugjddlkMiE9PV3HaIiMw+Px4LHHHkNRUVHAAs4777wT77zzDiZNmqRjdETGFMtShDIAZiFEJbwzqMElBJHMitoRemFaLgBnb2UEvo0c3EIIcw87lJnQS2JMiSu4DMEIq45PnDiBXbt2qTHLEIjiw+12Y86cOVizZo06NmTIEDz55JP49re/rWNkRMYWyxnb2fAmmg0AWgCIoK8Bk1LWAGj2LQADoGZiy6ApMRBCmIQQ0rf9rpYF3lragFlfX+1tXZhb8lKCMeLCsS1btqCrq0uNuSUnUex98MEHmDFjRkBSO378ePz73/9mUkuks1jO2LqklD32HRJCrIzw8fMBVAoh/D1rCwDM8pUTAFCzsy4E1dz6+tiWAlgqhGiGt3WYCYDdtw0wJZmurq6AUgSjLBwL7ogwbtw4nSIhMoY//elPKCsrQ3t7uzr2ta99DX/605+Qnc0qNiK9xTKxLe3j+rB7xobiKzewhnG7kFNYvgS4p211Kcl8/PHHOHr0KAAgLS0NBQUFOkcUH8GJLUsRiGKjs7MTFRUV+M1vfqOOCSHwi1/8Avfffz/S0nTfoZ6IEMPEVkr5Xh83GVBXBKJQtGUI06ZNw/Dhw3WMJn6Y2BLFXnNzM2bPng2H49QHejk5OVi+fDmuvvpqHSMjomB6vsVcquP3phRjxP61ABNbolj76KOPUFBQEJDUTp8+HfX19UxqiRJQVGZshRDfAWCWUv7EN74EwH293IW9YimqjLhw7NChQzhw4EDAsbFjx+oUDVHqefHFF3H77bejra1NHSspKcGyZcsM86kQUbKJ1oxtFbrXu1rg7YqQFeIr9fswUdy0trbi448/VuMvfvGLOkYTPx9++GG3Y9ycgShyHo8HDz74IG6++WaV1Aoh8Oijj+KFF15gUkuUwKJVY+vfscvPDcAhpezxc5oodEUgAuDdUlZKCcC7QYFRmqIHlyGMGjUKQ4YM0SkaotRw9OhR3HHHHVi9erU6NnLkSCxfvhzXXnutjpERUTiikthKKbcHj4UQ5X3cLaKuCER+//nPf9TlgoICQ2zMALC+lijadu7cia9//esBu/lNmjQJf//733HBBRfoGBkRhSuWXRG2Bx8TQlwFwAzvbG5fXROIwrJx40Z1+X/+5390jCS+mNgSRc+GDRtw/fXX49ChQ+rYV7/6VSxfvhwmU6gd3FODlFJ94kXUGyFEUkwcxSyxFULUA8gEUC2l/KUQ4hl4e9uuAmARQtiklP+M1fcn4wiesTWCzs5ObNq0KeAYE1uigbHb7bjjjjsCNl2oqKjAo48+ikGDBukYWfRJKXH06FEcOXIEx48fD9i5kKgvp512GjIyMpCTk5Owr41YbtCwQkq5GACEEBPg3e62XEq51HdsEQAmthSR/fv3Y8+ePWpslBnbTz/9FCdOnAg4xsSWqH+klHjsscfwk5/8RB0bPHgwampqcOedd+oYWWx4PB4cOHAAra2teodCSerkyZNoampCW1sbxo0bl5DJbSwTW7fmcjEA6U9qfVwgipC2DGHMmDE455xzdIwmfoLLEAAmtkT9cfLkSZSVleEPf/iDOpaVlYVVq1bhyiuv1DGy2GltbVVJbXZ2NjIyMjBkyJCk+HiZ9OfxeNDW1oaDBw+ivb0dTU1NGDVqlN5hdRPLxLZJc7kIgDPo+swYfm8yCNbXnsIetkThaWpqwi233II333xTHZs4cSLWrVuX0l1VWlpaAHg7qOTk5OgcDSWbtLQ0ZGZ6U7d9+/bh6NGjCZnYxnLnsVwAEEJkwrsZg9q2RQgxEoEzukQDYsT6WoAztkQDtW3bNlx66aUBSe0VV1yBd999N6WTWimlKl8aOXKkztFQMvP3cT558mRCLjyMZWLrEEK8BmA7vGUHi4QQmUKIe33HcmP4vckApJScsdUYM2aMDpEQJY+3334bM2fOxLZt29SxOXPm4LXXXkv5GUxtApKIdZHJxu12w2oN3pfKGNLSTqWOhkpsfe28LAAsUsqJUsojALLhLUkogWYGl2ggGhsb1UdrAJCfn69jNPHT2tqKnTt3BhzLycnB6aefrlNERIlv9erVmDVrFpqbm9WxhQsX4rnnnuPGJhS22tpauFzeJUJut/eD55qaGj1DoiCxrLEFAAngEiHEBCnls76NG4rhbQF2JMbfm1Kcdrb2/PPPT+lek1qhttJlGQJRz5555hncdddd8Hg8ALwti/74xz9i9uzZOkdGycZsNsNqtaKgoADNzc2wWCyGKoNLBjGbsfW1+NoB4CfwLh7zqwFg89XZEg0Y62tPYWJL1J2UEj/96U8xf/58ldRmZmbitddeY1JLA5KXlwebzYaNGzfC6XSiqKgIFRUVeodFGrGssX0M3jKEbGjKDqSUrVLK+QAqY/i9yQBYX3sKE1uiQB0dHZg3bx4WLlyojo0ZMwZvvfUWvvzlL+sYGSUzq9UKq9UKm82G4uJiZGdnIzc3V5UlkP5imdhul1Ku910OVV3cHOIYUVg6OzvhdJ7qIMcZWya2ZExtbW1qq8+2tjYAwLFjx3D99dfj+eefV7ebOnUq3nnnHVx44YU6RUqpwGazwW63AwBcLheKi4vR2NhomFK4ZBDLGttPNZdDdX82x/B7U4rbtGkTPv/8cwDenYIuvvhinSOKD4/HE7LGlj1sibwOHTqEa6+9FvX19erYFVdcgdWrVyMrK0vHyIynvb0dK1euxJo1a+B2u2EymXD99dejpKQEQ4cO1Ts8AN4FYDU1NWhsbERubm5AWYHb7caECROwffv2bomr2WxGZSU/eE5EsZyxnSGEyPBdDpixFULcDCC1e6tQTGnra6dNm5YwfyRjbceOHTh27Fi345yxJQK2b9+Oyy67LCCpLS4uxquvvsqkNs7Wrl2LsWPHYs6cOVi1ahXWr1+PVatWYc6cORg7dizWrl2rd4gAvKUFFRUVsFgsWLRoUcB1NTU1KiEPJS8vLx4hUj/Fcsa2CsB7Qgg7AJMQohneWdrZAPIA8K8MDZj2xGWkMoRQs7UAE1siACgsLMTBgwfV+Pvf/z5+85vfsG9rnK1duxY33nijWrAX7LPPPsONN96I1atX47rrrotzdKe4XC7VJtJut8NsDvwgua6uDoWFhXqERhGIZR9bF4DvAij3fdnhTXazAMxguy+KhLa+1ij9a4HQ9bUAN2cgAhCQ1D722GNYsmQJk9o4a29vx7x583pMav08Hg/mzZuH9vb2OEXWXXZ2NsrKygAAK1eu7NYpo76+HkVFRaHuqjoiUOKJaR9bKaUDQLYQ4hJ4Z2tdvo0biAbs5MmTAQme0RNbk8mEESNG6BANUXz5F4dpvfzyywFjIQSeeOIJzJkzB8ePHwdwagtQ6p2UEq2trRE9xgsvvIDPPvssrNt+9tlneP755/GNb3xjwN8vMzMTQoRaxtM3f4mBw+GA2+1WSS7gTVzdbne3GVun04nq6moAUBs1UGKJ9QYNANQuZExoKSo2b96MkydPAgDS09MxdepUnSOKH3ZEICML5w2clBJ33XUX7rrrroBj1LfW1ta41yLPnz8f8+fPH/D9W1paIu5IUFdXB7PZHPA4DocDJpOpWx1tXl4eqqur4XA44HBwA9VEFJNSBCHEeCHEj4UQT/u+Fgkhpsfie5HxNDQ0qMsXXXSRYbbDPH78eMAe934sQyAiGjin09ktga2rq8OMGTMAnFpERskhqomtEGKkEGIFgEYANpyqr60A4BRCvCKEOC+a35OMR1tfa6RVqZs2bVIzT4MHn/qwZdy4cXqFRBRXx44dw7Fjx2Cz2UJef/DgQXUb7RdRb4IXjTkcDtTX16vj7FObXKJWiuCro/VPpdUCcAFo8o1zAWQDKAbgEkLkSSk/iNb3JmPRztgatb525MiRaG727nHCHrZkFMOHD8fChQvx05/+VB0bNWoUDh06pK5nPe3AZWZmoqWlJaLHeOGFF/pVWvD0009HXGMbKZvNhtLSUlRVVQHwJroNDQ2wWq2oqqri9stJJiqJrRAiE8B6ADVSyu/2cbufAPinEGICOyNQf3V2duKDD069JzLSjK02sdXO2DKxJSOQUuLBBx/EQw89pI6dd955WLNmDaZPZ6VbNAghIp6ZnDt3Ln72s5+FtYDsjDPOwNy5c3XvQ24ymdRuYlqhjlHii1Ypwn0AVvaW1AKAlLJVSmkF8CwAbtlB/fbxxx+r9jCDBw/GtGnTdI4ofrSJ7YkTJ9RlJraU6qSUqKysDEhqJ02ahLfeegu5ubk6RkbBhg4dimXLliEtrff0Ii0tDcuWLdM9qaXUE63EtrivpFbLl9yy6zH1m7YMYerUqYb5oyilDEhsjxw59WEHE1tKZVJK/PCHPwyoq50yZQrefPNNdgRJUNdddx1Wr16NM844I+T1Z5xxhu6bM1DqilaN7UAa30VWyEOGZNSFY/v27VM1tUBg+yImtpSqPB4Pvve97+Hpp59Wx6ZPn466ujqceeaZOkZGfbnuuuuwe/du2O12/P3vf1db095www2wWCxJPynBLgmJK1qJ7UC6FPO3gvqNC8e8sx3++rUzzjgDp59+ul5hEcVMV1cXysvL8fvf/14dy8/Px2uvvYbs7Gx1bPjw4exTm6CGDh2K22+/HbfffrveoUSNy+WCzWaDw+GAy+WCxWJBQUEBKioq9A6NfKKV2Db3fZOo3IcMrKurC++//74aG2nG9sMPP1SXx4wZoxJbztZSKurq6sLcuXPx5z//WR2bOXMmXnnllaisgicaKLPZrHYeo8QUrRrbgWxVEt/tTSjpbd26VW2RmZaWZqiV0NoZW+3OQExsKdV0dXVhzpw5AUnt5Zdfjtdee41JLRH1KVozthYhhATQnw2bi6P0vckgtGUIkydPxrBhw3SMJr60iW16erq6zMSWUklXVxfmzZuHv/zlL+rYVVddhTVr1rA/LRGFJWobNAAo6eftWRRF/aJdOGak+tqTJ0/i448/VuPOzk51mbuOUarweDwoLS3FH//4R3Vs1qxZWLt2LevIiShs0Vw8ZkH4C8KyAKyI0vcmg9DO2BqpvnbLli0qmR08eHDAzkCcsaVU4PF4UF5ejueee04du/LKK7FmzRomtUTUL9FKbJ1Syvf6cfvtQoj+3J4MzuPx4L33Tv3KGGnG9qOPPlKXL7jgAuzdu1eNmdhSsvN4PFiwYAGeffZZdeyKK67A2rVrDVVuRETREa3FY9Y43YcMatu2bTh27BgA77aPF198sc4RxY+2I8KUKVNw+PBhNWZiS8lMSonvf//7AavMv/SlL2HdunWsqSWiAYlKYiul3B6P+5Bxaetrzz//fIwYMULHaOJLO2Or3WlJCIHRo0frERJRxKSUuOeee/DUU0+pY5dddhleeuklQ72+iSi6ojVjSxRTRt2YAQicsdW2+ho9enRAhwSiZCGlxH333YfHH39cHfviF7+Il19+GRkZGTpGRkTJjoktJQWjbqV75MgR7Ny5U42121CyDIGS1aOPPoqqqio1LigowKuvvoqRI0fqGBURpQImtpTwpJSGbfW1adMmdXnEiBFqgwqAiS0lp8cffxw//elP1Xj69Ol49dVXufkCJRW32w2rlUuFEhETW0p4LpcLra2tamzUhWMXXngh9uzZo8ZMbCnZPPfcc7j77rvV+Pzzz8drr70WUGJDlMhqa2vhcrkAeJNbAKipqdEzJAoSzQ0aiGLi/fffV5dzc3MNNbOjXTh20UUXYffu3WrMzRkomdjtdnznO99R4/POOw91dXUYNWqUjlER9Y/ZbIbVakVBQQGam5thsVhQUFCgd1ikwRlbSnjaxNZIs7VA9xlbbWLLGVtKFi+99BK+9a1vwePxAADOPvtsOBwO/g5T0snLy4PNZsPGjRvhdDpRVFSEiooKvcMiDc7YUsL74IMP1GUjJbZSyoDENnjGlkkBJYM33ngDt9xyi9o9Lzs7G3V1dZg4caLOkRH1n9Vqhcvlgs1mQ3V1NbKzs5Gbm4uGhgaYTCa9wyNwxpaSgHbGdvr06TpGEl8HDx5EU1OTGo8bNw5HjhxRYya2lOjq6+tx3XXXob29HQCQkZGBV199FRdeeKHOkVG8tLW1QQgBIQTa2tr0DidiNpsNdrsdgHf9R3FxMRobG5nUJhAmtpTQmpubA2YpjTRjq52tPeuss/D555+rcXp6OmsTKaF98skn+OpXv6p2DDz99NOxbt06zJgxQ+fIiE5xu92oqqpCeXl5QAs6/3VZWVlqkZiW2WxGZWVlvMKkfmBiSwntv//9r7qclZUVsPNWqutt4djYsWORlsaXLyWm/fv343//93/x2WefAQAGDx6MVatW4fLLL9c5MqJAVqsVFRUVsFgsWLRoUcB1NTU1cLvdPc7GGqmnejLhmZESWvDCMSGEjtHEl/b/Pnr0aNbXUlJwu9245pprsGPHDnXs+eefx1e/+lX9giIKweVyqb7odrsdZrM54Pq6ujoUFhbqERpFgIktJTTtwjEj1dczpR53AAAgAElEQVQCwL/+9S91ubGxkYktJbz29nbccMMNAZ+0/PrXv8att96qY1REoWVnZ6OsrAwAsHLlSsyePTvg+vr6ehQVFXW7n9VqRXl5OYqKilBeXh6yVIH0w64IlNCM2urL4/EEbMZw8uRJJraU0Lq6uvCtb30r4A2Z1WrFD3/4Qx2jov6QUgZshtNfoRaHaXdL3LdvH4YNG9btNsOHDx/w98zMzBzwJ3n+EgOHwwG3262SXMC7jbvb7e42Y+tPav2zuxaLBbNmzUJDQ8MA/wcUbUxsKWGdPHkSmzdvVmMjzdi6XC7VHslv165d6jITW0okUkosWLAAL774ojo2d+7cbjWLlNhaW1tjugvcpEmTov6YLS0tEXckqKurg9lsDngch8MBk8nUrY62trYW5eXlalxZWYn8/Hy4XK5upQykD5YiUMLasmULTp48CcDbBWDKlCk6RxQ/2oVjAPD5559z1zFKWA8++GDAtqJf//rXsXTpUkPVxFPycjqd3RLYuro61cHDv4jMz7+lLnBq1ld7jPTFGVtKWNr62smTJ+O0007TMZr40rb6AoAjR47g0KFDaswZW0oUNTU1eOihh9T40ksvxYoVKzB4ME8vlBzMZjOam5vV2OFwoL6+HiUlJQAQ0Ke2sbEx4L5OpxMA2MYugfAvDyUso9bXAoFtzgBg79696OrqUmMmtpQIXn75ZSxYsECNp0yZgn/84x8h6ygp8WVmZqKlpSWqj9nW1qbaNO7ZsyeietpQMjMzI34Mm82G0tJS1cfWbDajoaEBVqsVVVVV3RaVaVmtVthsNm7QkECY2FLCMnJHBO3/HUBAUjt8+HD+ESXdvf/++ygpKVG/m6NHj8Yrr7yC7OxsnSOjgRJCRP1vS3p6urpsMpminthGg8lkUruJaYU6pmW1WlFYWIiKiopYhUYDwBpbSkhSSsPO2J44caLXeq2xY8eydpF0tXv3blx77bVqV7ERI0Zg3bp1/CSBDMNfd1tdXa13KBSEiS0lpH379qGpqUmNjTRj+/HHHwfM0AbjwjHSU2trK772ta9h3759AIBBgwZh5cqVhnrzScbmcDjQ2NioklqHw6FqbUl/TGwpIWlna88991zk5OToGE18BXdECMZZMdJLR0cHiouLA35Hn3rqKe4qRobhdDphtVpRUFCA2tpa1NbWwmazsdVXAmGNLSUkI9fXBndECMbElvQgpUR5eTkcDoc6dt999wU0tScKNnz4cEgp9Q4jambNmgW32w2LxRJwnOseEgcTW0pI2sTWaB9xcsaWEtEjjzyC5557To2/8Y1vYOHChTpGRBR/0e4aQdHHUgRKSNpSBM7YBmJiS/H217/+FT//+c/V+Etf+hKee+45pKXxFEJEiYV/lSjhtLW1Ydu2bWpspBlbt9sdsMNYKFw8RvG0YcMG3HnnnWo8adIkrF69GkOHDtUxKiKi0JjYUsL58MMPVU3W8OHDkZubq3NE8bNp06Y+b8MZW4qX3bt348Ybb8SJEycAANnZ2Vi3bp2hFnMSUXJhYksJR1tfO23aNEN93NlXGUJ2djZ3daK4aGtrww033IADBw4AAAYPHoxVq1Zh4sSJOkdGRNQz42QMlDSMXF/LhWOUCDweD+644w6899576thTTz2Fr3zlK/oFRUQUBia2lHCM3BGBC8coETzwwAP429/+psb33HMPSktLdYyIiCg8TGwpoXg8noDkbtq0aTpGE19Syj4TWy4co1hbvnw5HnnkETW+5pprsHjxYh0jIiIKHxNbSii7du1S+88DwIUXXqhjNPG1f//+PnskcsaWYmnDhg2YN2+eGk+ePBkvvPACBg9my3MiSg5MbCmhaGcsx48fj4yMDB2jia9Qs7UjR44MGDOxpVjZs2cPbrjhhoAOCGvXrkVmZqbOkRERhY+JLSUUbXJnpNlaIPTCsSlTpgSMmdhSLLS3t+OWW27BwYMHAXg7IPztb38zVKs9ov5wu92wWq16h0EhMLGlhKJNbC+66CIdI4m/UDO2kydPDhgzsaVok1Lirrvuwn/+8x917KmnnsKXv/xlHaMiSky1tbVwuVwAvMktANTU1OgZEgVh4RQlFCa2gbQztkIIjBkzJp4hkQE8/fTTWLZsmRp/97vfZQcEoh6YzWZYrVYUFBSgubkZFosFBQUFeodFGpyxpYRx8uRJbN26VY2NlNh2dXVh8+bNAcfS0tIwadIkNT777LNx2mmnxTs0SmFvvfUW7r77bjW+7LLLsGTJEh0jIkpseXl5sNls2LhxI5xOJ4qKilBRUaF3WKSR1DO2QggbgCYAbgC5AFZIKZ1h3C8PgB2AE0Cz7/4BpJQsnomzrVu3orOzEwCQnp4ekNSlusbGRrS3twccO+ecc/DlL38ZmZmZaG1txS233KJTdJSK9uzZg+LiYvWaGz16NGpra/nmiQZsyZIluOmmm8JuS7hr1y68+OKLAW+uEp3VaoXL5YLNZkN1dTWys7ORm5uLhoYGmEwmvcMjJHFiK4RoALBISlnrG5sANAghiqSUrj7uPgOA2fcVSm30IqVwaT+KP//88w11gg21cGzs2LHIzMzEJ598gg8//BBXXHGFDpFRKgpeLJaeno5Vq1bhnHPO0TkySlZLlizBPffcg8cffxyvv/56n8ntrl27cOWVV6p61WRJbm02GwDA5XKpBLe4uFjnqEgrKUsRhBBlAMz+pBYApJRueBNSexgPkQ8gV0opgr8A1EopLbGJnHrD+tpA/oVio0aNwqxZs5Cenh7vsCgFhVos9uSTT2LmzJk6RkXJ7qabboLZbIbL5cKVV16JXbt29XhbbVJrNptx0003xTHSQG63G1VVVSgvL0dVVVW367KystQiMS2z2YzKysp4hUn9kJSJLQALAEeI4xsB5Plmb3vjDjWr6yttWBSF+GgAmNgGYgcEioVnnnkmYLFYeXk5F4tRxMaNG4fXX3+9z+Q2OKkNZ3Y3lqxWKyoqKmCxWLBoUeDpv6amBm63u8cSg7y8vHiESP2UrIltYQ/H3X1cDyB0/awQohBAUzg1uhQb2o/jjZbYhipFOPfcc3WIhFLZO++8gx/84AdqfNlll+Hxxx/XMSJKJX0lt4mW1LpcLuTn5wMA7HY7zObA6sS6ujoUFvaaTlACSroaW81sbHMvN+updrY3Vill0QDuR1Fw5MgR7Ny5U42NtDnD559/jm3btnU7zhlbiqbDhw+jpKRELRY755xzuFiMos6f3PoT2CuvvBKvv/46ACRUUgt4d9crKysDAKxcubJbaUF9fX3IcgOr1YqcnBw0NjaiubkZS5cu5cKxBJJ0iS2AbN+/3Yteek92e+QrQQinNld7n009XMWtegZAO2OZkZGB8847T8do4mvLli3weDzdjjOxpYFqa2vDiBEjAADHjh3D0KFDceutt2LPnj0AvDuL1dbWcrEYBZBSorW1NeLHGTlyJFavXo3rr78eLpcLEydOBAB0dHRg/PjxWL16NUaOHBmydrW/MjMzIYQY0H39yajD4YDb7VZJLgA4nU643e5uM7bl5eXIz89Xty0vL4fFYkFdXd0A/wcUbcmY2Pr19vYoJ9wH8c0AV/gWjpFOgrfSHegfqmQUqr4WYGJL0fPwww8HnHgXL16Myy67TMeIKBG1trYiKysr6o/b0dGhLu/YsQPTpk2L2mO3tLREPFtaV1cHs9kc8DgOhwMmkylkHW1jY6O6nJ+fz53HEkwyJra9zcr6Z3Ob+vF4ZfD2s+0XKeXUUMd9M7lTQl1HPePCsUCDBw/GWWedpUM0lGrq6urw0EMPqXFxcXHStFYiigen09ktga2rq8OMGTMAeBeRlZSUwGQyobq6OuB2DQ0NrMNNMEm3eMzX1gs4lcRq+d9u9dXHVqscAyxhoOjRliIYqb4WCL1wbMyYMRg0aJAO0VCq+fa3vw0pJQDgC1/4An7/+98b6hMRor4ELxpzOByor69XxxsbG0POCrvdbqxcuVL1tqXEkIwztoC31Veozx6yNdeHy4wBzNhS9EgpOWMbhGUIFC3Nzd737aeffjpWrVqFkSNH6hwRJarMzEy0tLRE/Di7d+/G9ddfjx07dmD8+PFYs2YNAHQ7Fo2/c5mZmRE/hs1mQ2lpqepjazab0dDQAKvViqqqKsyePbvbfaqqqrBixQpUVlay7VeCSdbE1g4g1FukXABOzaxur3xb6wKcsdXV/v371ckXMFZi29LSgr1793Y7zsSWwtXW1hbWsd/+9rcwm83quuHDh8c8NkouQoiI61V37dqFG2+8ETt27OjW/eDNN99UnRFuvPHGhOiMAHgXkdnt3dePhzrmV1FRgYqKCpSXl6OoqIiLxxJI0pUiAICUsgZAsxBC7WPnWwRWBqBUe0wIIX3b74bi//wh8qWZNGDaGctzzjkHOTlhr/1LetoyBG3bJSa2FK4RI0Z0+wpVn11eXh5wG6Jo66tPbbibOCQTq9UKh8OB2travm9McZGUia1PPoACIUSFEKICwFIAs7QbLPhmbl3ouebWCW9SuzHWwVLPWF/rNWzYMHWZiS0RJZNwN19I5uTWv8Wu09m9elH7qSPpK1lLEfxJa7cdxELcrse+sr5tdaPf24T6xcj1taEWjgFMbCl8x44dU5dPnDiBr3zlKwGvqQ0bNmDq1JBNXIii5sUXXwx784XgTRxefPHFpOjUYTKZkJ2dHbItWElJiY6RkVbSJraUOoyc2G7adGqfj+PHj6vLTGwpXNpa2Z/85CfdFiNOnTqV9bQUc/7E9Kabbgqrbtaf3CZLUutnt9tRXV2NnJwcNDU1weVyoaGhgTuPJRAmtqSrrq4ubN68WY2NlNhKKQNmbE+ePKkun3vuuXqERElszZo1ePzxx/UOgwysvwnquHHjkiqpBYC8vDx2QUhwyVxjSyng008/RXt7OwDvitwpU4yzt8WhQ4fQ1NR9L5EhQ4bgzDPP1CEiSla7d+/GnXfeqcZGq1UnIvJjYku60s5YTpw4EaeffrqO0cSX9v+u/Rhr3LhxbKBPYevs7MStt96qFq8MGzYMf/jDH3SOiohIH0xsSVesr/UaNWqUupwIfR0peTz88MP4v//7PzV+8skncf755+sYERGRflhjS7rS1tcabeW2NrHNyMhQl5nYUrhef/11PPzww2p86623Ys6cORBCqG10iYiMhDO2pCsjJ7baUoS0tFMvRSa2FI7Dhw/jtttuUwnsxIkT8fTTT7OMhYgMjYkt6aajowOffPKJGhtp4ZiUMmDG1r+ADmBiS32TUmLu3LnYt28fACA9PR0vvPBCwMw/EZERMbEl3Xz66afo6OgAAAwaNAiTJk3SOaL42bt3L1pbW9VYu2sNE1vqyxNPPIGXXnpJjauqqpCfn69jREREiYGJLelGW4YwceJEDBkyRMdo4ks7WztmzBjs379fjZnYUm82bdqEiooKNb722muTrhcoEVGsMLEl3WiTOyOVIQCB9bW5ubnweDxqzF3HqCcnTpzAbbfdpkpXRo0ahWXLlrGulojIh4kt6cbIC8e0Sf3ZZ5+tLp955pmG6uVL/fPzn/8c77//vho/99xzAa3iiIiMju2+SDfaxNZoM7baxDYzM1NdZhkC9eSNN97A4sWL1XjBggX42te+pmNERH3r6urCa6+9BgC4+uqrMWjQIJ0jolTHxJZ00dnZia1bt6qxkRJbj8cTkNgOHnzqZcjElkJxu9244447VGuv888/PyDJJUpUGzZsUG/A3n77bVx66aU6R0SpjqUIpIvGxkacPHkSgLeHq5F2Stq1axfa2trU2P9zAJjYUmh33XUXdu/eDcD7Rugvf/kLhg0bpnNURH3Tdu/QXqb4cLvdsFqteocRV0xsSRfaMoTc3FwMHTpUx2jiS7tw7LzzzsOBAwfUmIktBVu+fDmWL1+uxg899BBbe1HSePnll0NeTkRVVVWwWCywWq2wWq3qstvt1ju0fqutrYXL5QIAFX9NTY2eIcUNE1vShZE7Imj/7xdeeCF27dqlxkxsSWvnzp1YsGCBGl9++eUBrb6IEtmBAwfgdDrVuKGhAQcPHtQxotCcTieysrIAAHa7HTabDTabDXa7Hbm5uZgwYQIcDofOUfaP2WyG1WpFTU0NmpubYbFYkjJBHwgmtqQLI3dE0M7YTp06lYkthdTV1YU5c+aojTxGjhyJP/7xj1x8Q0nj1VdfDeuYnpxOJ/Lz81FZWRnyTWNZWRmWLl2KoqKipEpu8/LyYLPZsHHjRjidThQVFRnmTTEXj5Eu2BHBa8KECQE7kDGxJb8lS5bgzTffVOMnn3wS48eP1y8goiBSShw/frzH69etW9ft2D/+8Q/ccsstPd5n2LBhce3LbLFYYDKZek36iouLkZeXB4vFgpaWlrjFFgmr1QqXywWbzYbq6mpkZ2cjNzcXDQ0NMJlMeocXU5yxpbjr6urCli1b1NhIiW1XVxc+/vhjNc7OzlaXTzvtNPYkJQDAli1bcP/996txSUkJbr31Vh0jIupu8+bNGDFiRI9fdru9233sdnuv99H+fYw1fx1qSUlJn7edPXs23G43qqqq1DGXywWHwxFQbuF2u+F0OuFwOFSNqx78pRSAN87i4mI0NjamfFILMLElHbhcLpw4cQIAIITABRdcoHNE8eNyudSuUUKIgFZfY8eORVoaX5JG19nZiblz56rfk7PPPhtPPfUUdxejhBOLxWDx7JywYsUKAAhrMWZeXl7AffyzoUVFRQFdBxwOB6xWK4qKilBbWxtwPD8/H1lZWaiqqkJtbS2sVivy8/PDSoD9SXV5eXlAcu2/LisrK2QNrdlsRmVlZZ+Pn0p4FqW405YhmM1mQ+20pS1DyM3NxaFDh9SYZQgEAL/85S+xYcMGNa6urkZOTo6OEZFRSCnhdrvD/po9ezbmzZsXte8/b948NTMa7pe/t/NA+BNK7SdnPfHfxn8fs9mM6upqlfD6FRcXo66urtv9CwsL0dDQAMDb7hIAKisr1exuX6xWKyoqKmCxWLBo0aKA62pqauB2u3ucjQ2OMdWxxpbizsgdEbhwjHrz0Ucf4YEHHlDjO+64A9dff72OEZGRtLa2qu4Aeli2bBmWLVvWr/u0tLTo+vF6OEmxltlshsPhQHV1NQCElZi7XC41q2y322E2mwOur6urQ2FhYb/iSGWcsaW4M3JHBLb6op50dHRgzpw5asOOMWPGYMmSJTpHRZS6/Alic3Nzn7fVztRGqr8zqNnZ2SgrKwMArFy5ErNnzw64vr6+HkVFRRHHlSqY2FLcGbkjAmdsqSeLFi0KWITy7LPPGmKhB5Fe/MlgqNKBYBs3bgSAbknlQPR3ltf/d8DhcMDtdqskF/C2K3O73Zyx1WApAsVVcFcAIyW2HR0d2Lp1qxozsSW/999/Hw8//LAaf+c738E111yjY0RkRJmZmRG3s3rkkUfwq1/9Kqzb/vjHPw7o/jEQmZmZA75vWVkZrFYramtre61RBU7t2qVNKgdqoG9Y6+rqYDabA+7vcDhgMpkMV0fbGya2FFc7duwI6AowefJknSOKn23btqGjowMAMGjQIEycOBF79uxR1zOxNaaTJ09izpw56OzsBOD9PQg3MSCKJiFExJ8SvP766/267eLFiyP6fpFav3498vPzUVpaGrI9GeDdatftdsNut3f7+ZhMpm7dCGLV5svpdHZLYOvq6jBjxgwA3uS7pKTE8J/0sBSB4kpbhjB+/HgMGzZMx2jiS1tf+4UvfAHNzc3o6upSx8aOHatHWKSzhx56CP/973/VeNmyZRg5cqSOERENTPAWun1JhC128/Ly0NDQAKfTifLy8m7XV1VVYdGiRbDb7SguLu52fVFREerr6wOOOZ1OmEwm1NXVdUt6/d0cBiK4vtfhcKC+vl4dN0qf2r5wxpbiysgdEXpbOJaTk4Phw4frERbpqKGhAY899pgaL1iwALNmzdIxIqKB62m73AULFkBKiaeffjrkfe64445Yh9arvLw8NDY2oqqqChaLRdXANjc3w2w2Y/v27T0mjGVlZWhsbITValVt+crKypCdnY36+nrk5+ejoaEB9fX1sNlscLlcqKmpgcvlQnl5echkuSc2mw2lpaWqj63ZbEZDQwOsViuqqqqiUv+bCpjYUlwZuSMCF46RVkdHB7797W+rWXuz2QybzaZzVEQDF7xhw/jx4/H73/8eV111FQBvj9d58+Zh586dAffRO7H1621b3d6Eet36e9X6FRYWRrzAy2Qy9bibG53CUgSKKyN3RGCrL9JavHgxPvjgAzV+9tlnMWLECB0jIorMu+++qy4vWLAAH374oUpqAeCqq67Chx9+iPnz54e8D1E0MLGluPF4PIbtiHDixAls27ZNjTlja2xbt27FQw89pMalpaW48sordYyIKHLr16/HDTfcgPXr1+PJJ58M+UYtIyMDTz31lLptOLtuEfUHSxEobnbu3Injx4+rsZE6ImzdulV95Jyeno6JEycysTUoj8eD73znOzhx4gQAYPTo0d32fidKRrm5uVi9enVYt73qqqsCZnOJooUzthQ3W7ZsUZfHjh1rqI9dtfW1F1xwAdLT05nYGtQzzzyDt956S42feuoprmQmIooSJrYUN9rE1kiztUBgfa1/0RwTW+PZtWsXrFarGpeUlOCGG27QMSIiotTCxJbiRltfe8EFF+gYSfwFLxw7evRowA4/TGxTn5QS8+fPx7FjxwAAWVlZePzxx3WOiogotTCxpbgx8oxtcKuv3bt3q3F6ejrOPvtsPcKiOPrrX/+Kl156SY1/+9vf4qyzztIxIiKi1MPEluJGm9gaacb2+PHjAVssBndEOPfcc5GWxpdiKjt8+DB+8IMfqPHVV1+N22+/XceIiIhSE8+mFBdNTU04fPiwGhspsf34448hpQQADB06FGazmfW1BnPPPfegqakJADB8+HBUV1dDCKFzVEREqYeJLcXF1q1b1eXMzExDfQSrra+dPHkyBg0axMTWQF555RUsX75cjR999FGMHz9ev4CIiFIYE1uKC+3CscmTJxtqtkpbX3vhhRcCYEcEozh+/DgWLFigxjNnzsRdd92lY0RERKmNiS3FhVHrawG2+jKyRx55BNu3bwcADB48GDU1NRg0aJDOURERpS4mthQXTGy9OGNrHJs2bcLixYvV+Ec/+hEuuugiHSMiIkp9TGwpLoya2B49ehQ7d+5U46lTp6Krqwt79uxRx5jYph6Px4Pvfve76OzsBACcd955+PnPf65zVEREqW+w3gFQ6mtvbw9od2WkxHbz5s3q8vDhwzFu3DgcOHAAHR0d6vjYsWP1CI1i6Pnnnw/YNveJJ57A8OHDdYyIiII5nU4sWrQITqdTnaOKi4uRnZ0NAGhubobL5YLL5YLb7UZ1dTXKysr0DJnCwMSWYu7TTz+Fx+MB4N2MwGw26xxR/ARvzJCWlhZQhpCVlYWMjAw9QqMYOXz4MO699141vvnmm/H1r39dx4iIKJS8vDzY7XY4nU7k5+ejsLAQdrs95G0tFgsaGxvjHGHPHA4HCgsL9Q4jIbEUgWJOW4YwceJEpKen6xhNfIVaOKYtTWAZQuq599570dzcDAAYMWIElixZonNERNQbk8kU8G8oS5cuDfjkUU9ut7vHBJyY2FIcGLW+FmCrL6N544038Ic//EGNH374YZx77rk6RkRE0WAymVSJgt5WrlypdwgJjYktxZyRE1u2+jKOEydOYP78+Wp8ySWX4Hvf+56OERFRJBwOBxwOhxpbLBYdo/Gqra1FeXm53mEkNNbYUsxpN2cwUmLb0tKCffv2qTFnbFPb4sWL1Zs4IQSqq6sxeDD/xBIlK7vdHpDM+mtaa2pqUF1dDafTCQBqUZm/Vhfw1u8uXboUeXl5ALwJqb+UoampCTk5OaioqOj2Pd1uN6xWqyqLcLvdKCoqQnFxMWpqatDQ0ADAm3T7E1z/9eFwu92oqalBY2MjcnNzA2Jwu92YMGECtm/f3mtZRqLjX12KKY/HEzBjO3nyZB2jiS/tbG1mZiZGjx4NgIltKnK5XHjkkUfU+K677kJBQYGOERH1n5QSra2teofRL5mZmVHbydKfLDY3N6tOCaFmacvKylBWVoby8nLU1NSgpKQEgDeZDU5oAW9Sa7VaUVdXpxZPl5eXw2KxBNTKulwu5OfnY+nSpSpRdTqdmDVrFvLy8lRHBv/Cserq6n7/H61WK6qrq+FwOGCxWAIS25qaGrjd7qROagEmthRje/fuxfHjx9X4/PPP1zGa+AouQ/D/8WVim3ruuecenDhxAgBwzjnnBCS5RMmitbUVWVlZeofRLy0tLVFLxIKTxb5KD6qrq+FyuTBr1iw0NDSgqqqqW1Lr19zcDLfbHfDYRUVFAYmkxWKB2WwOmH31z/Jq7ztQ/sQZ8M5GB3coqqurS4lOC6yxpZjSztaOHj0aI0eO1DGa+Aq1cOzo0aNqxTzgbdxPyW3dunVYu3atGv/yl79EZmamjhERUTSEqmX1lx/42e12uFwuFBUVwWQyhUxqi4uL0dLSAgCoqqqC1WpVM7X+84Hb7YbT6cSMGTNC3jfU4/ZXdna2mvVduXIlZs+eHXB9fX09ioqKIv4+euOMLcUUF455hWr1lZ6ejnPOOSfucVH0tLe34+6771bjK664At/85jd1jIiIoiU4yfSXJ2iTTJPJhKVLl8JiscBqtYZ8HLfbjVmzZiE7OxvV1dUwm81wOp2oqalRt/HPzObm5sbgf3IqVsBbyuB2uwM2m3A6nXC73SkxY8vElmLKqAvHgNAzttrEduzYsUhL44cmyezXv/61ato+aNAg/O53v4tavR9RvGVmZqqZxWQRy09Hgksc6uvruyW7gPcjfJvNBovFEnLhlcVigdvtVgu/grndblUWMJBNIKqqqkIuROuJv9ZXG6fD4ehxxjnZMLGlmDLqwrHDhw/j8OHDahxqxnb8+IvPs4YAABKASURBVPHxDouiaNeuXd0WjE2bNk3HiIgiI4RI+oVDsRRqS12r1QqbzQaTyYS6ujpVb6vlcDi6JZ7azR7q6+uRnZ2NvLw81NfXh/zetbW1qvbWZDIFlLT1Nxl2Op3dEti6ujqVtPsXxCXr7wKniyimjFqKoC1DyMnJwahRowAEJrasr01uP/7xj/H5558DAM4880z84he/0DkiIhoI/8Ks3hZolZeXd9t5rKqqCjk5OSoB9NfbBtfmmkymbrW5GzduVN/T5XLBbDar+2tLFABv8qxNRGfMmBHRLmjBi8YcDgfq6+sDZo2TNakFOGNLMdTa2or9+/ersZES2+AyBP/H0zt27FDHmdgmr/Xr1we06fHP2BBR8nA6nVi0aJFKOv0tsPw7jDU3N8PlcsHlcgXUn1qtVtWXNi8vT83G+mtXa2pqUF9fj9mzZ6OiogINDQ2wWq0oLy9Hbm4umpqaUFlZiZycHJSWlqK8vBwmkwkmkwnbt29HaWkpGhoa1G3Ly8sDktHq6mpYLBbVRaGn2t6e2Gw2lJaWoqqqCoA30fXHWFVV1W1RWbIRUkq9Y0gpQohNU6ZMmaKdsTOqDRs2YObMmQCAESNG4MiRI4apP5w/fz6eeeYZAMCCBQvw5JNPAgBmzpyJDRs2AACef/55zJkzR7cYaWA6Ojowffp0VT8+c+ZM/Pvf/2a9NCU0j8eDrVu3AvC2XeTvKw1Uf36Xpk6dis2bN2+WUk6NV3z8zaaYCS5DMEpSC4ReOAawFCEV/O53v1NJrRACTzzxBJMEIqIEwb/GFDNGra+VUoZs9dXe3o4DBw6o40xsk8/+/fvx4IMPqnFZWZlqeE5ERPpjYksxY9TE9uDBgwEtc/yJrXbHsbS0NJx77rlxj40iY7VacfToUQDeZucLFy7UOSIiItJiYksxo01sjbqV7qhRo5CTkwMgsAxhzJgxSE9Pj3tsNHDvvPMO/vSnP6nxwoUL1XNLRESJgYktxURnZ2dAbz0jzdhu3rxZXfbP1gLsiJDMPB4P7rnnHjW+5JJLUFpaqmNEREQUChNbiomdO3eio6MDgHeBTSy3CUw02hnbKVOmqMtcOJa8li9fjv/85z9qvGTJEgwaNEjHiIiIKBQmthQT/lYgADBu3DicfvrpOkYTXz3N2HLXseTU1taG++67T42Li4tx+eWX6xgRERH1hIktxcQnn3yiLhupvja4IwJnbJPfL3/5S+zduxcAcNppp6mm5kRElHiY2FJMaBPbSZMm6RhJfB06dChgD2/W2Ca3PXv2wGazqfGPfvQjTJgwQceIiIioN0xsKSaMmthqZ2vPPPNMnHHGGQC8u1X5Z/0AliIki8rKSnz++ecAgLPOOguVlZU6R0Q0MNoNcrq6unSMhJKdx+NRlxNx4yUmthQT2hpbIyW2PdXX7t27N+CPwbhx4+IaF/Xfhg0b8Oc//1mNFy5ciJEjR+oYEdHACSEwZMgQAMCRI0d0joaSWVtbGwBvaVYiJraD9Q6AUk9bWxv27NmjxkaqsdUmttr6Wm0ZwllnnYWhQ4fGMyzqJyllQHuviy++GHPnztUvIKIoyMrKwoEDB3Do0CF0dnYiIyMDQ4YMScjkhBKPx+NBW1sbDh48CADIyMjQOaLQmNhS1H366afq8pAhQzB27Fgdo4mvcBaOsQwh8b3wwgt499131fg3v/kN23tR0svMzER7ezvcbjeam5sD1gMQ9cfQoUMTdoMaJrYUddr62okTJxoqIQin1RcXjiW248ePw2q1qvHNN9+Mr3zlK/oFRBQlaWlpOPvsszF8+HAcPXoUbW1trLelfjnttNOQkZGBnJychD23M7GlqDNqfe2hQ4fw2WefqTFbfSWnX/3qV9i9ezcAtvei1COEwMiRI1W9uJQSUkqdo6JkIIRIirIVJrYUdUbtYaudrT3jjDMwatQoNWarr+Swb98+PPbYY2p89913G2rXPDKeZElWiMKV1ImtEMIGoAmAG0AugBVSSucAHwMAcgbyGBSIrb68Cf0LL7yASy+9FOeddx5rbJPEAw88gOPHjwPwtmu7//77dY6IiIj6I2kTWyFEA4BFUspa39gEoEEIUSSldIVxfxOA9QCsUkqH71g1gKUA8mMXeWqTUhq2FEE7Y7t//35885vfhMlkwq5du7Br1y51HWdsE9OmTZuwbNkyNX7wwQeRmZmpY0RERNRfSdnHVghRBsDsT2oBQErpBlALwB7mw9gB1PuTWh8zAC4TjcBnn30Gt9utxkZKbLUztv5E1u12Y926dejo6FDXMbFNTPfdd5/qNTxp0iSUlpbqHBEREfVXss7YWgA4QhzfCKBCCGHyJbohCSEKARTCW76gSCmLohqlAWnLELKystTOW0agnbHt7OxUlz/66CN1OTs7O2F7/xnZG2+8gX/84x9q/NhjjyE9PV3HiIiIaCCScsYW3qQ0FHcf1/tZAbjDKVmg/gmurzXKooTDhw/j8OHDIa/78MMP1WXO1iYej8eDe++9V40vu+wy3HjjjTpGREREA5V0M7a+2lig95IBcx8PUwjAKYTIAzAb3sVjuQDsQaUJ1E9GXTimna3NyMjA0aNH1ZiJbWKz2+2or69X48WLFxvmDRkRUapJusQWQLbv31ClBn3Wx2oSYwCYIaW0aq5rFEJYtbW7vTzOph6uuqCxsTGgOb+R+Pt/AsArr7ximJ9DS0uLutze3h5w3fbt29Xlf/3rX4b5mSQDKWXATnkZGRmsrSUiipLGxkYAiOv2oyLZGjMLIcwAGgHUSCnLg67LA9AAoEqbsAbdxgSgBQCklCLoumoAJQAm9Faj67ttT4ntFAAeAFv6/t9QjPhrpxt1jcLY+Bzoj8+B/vgc6I/Pgb4uAOCRUsZt0UIyztj2Nivrn81t6ukGUkq372PGUPW1DQDKAMxA6MVp2scJOe3mT3h7up5ij8+B/vgc6I/Pgf74HOiPz4G+epkEjJmkWzymmUnNDnG1v8ygr0VhLoQuZfDrq0aXiIiIiBJM0iW2Pg6cSmK1sjXX98aJ3pNXdksgIiIiSjLJmtja4S0XCJYLwNlXfSyARQBMQQvJAO+OY252RiAiIiJKPkmZ2EopawA0CyGK/cd8SWoZgFLtMSGE9G2/q72/E95dyiqD7l+ivT8RERERJY9kXDzmlw+g0tclAQAKAMzyJa0A1EIxF0KUFkgpLUIIm68Tghve0oSA+xMRERFR8ki6dl9ERERERKEkZSkCEREREVEwJrZERERElBKY2BIRERFRSmBiS0REREQpgYktEREREaUEJrZERERElBKSuY8tESUZIYQNQBO8vaNzAaxg7+j48W1WUw1gpa/Pdx6AcgB1UspafaMjIooc+9j2Q6QnZZ7UIxfJz5An9ejw7fi3FMCEMLav1t6vAcAi/8/at9tfA4AiKWW3TVSoZxE8By0AgrcSr5JSWqMZX6ry/c7afEP/5kBWngfiJ9LngOeB6PBtjlWuOZQHoLo/P8OYvRaklPwK4wveE3CxZmwC0AjAHI/78ysqz0ELABn0ZdP7/5UMX76ftR3eE4rd97Mz9eP+ZQBaQhy3AWjQ+/+XDF+RPge+x2jQ3L+Cf3/6//MPOmbzPQ+F/fj58zyg73PA80Dkz4MZ3iRWe6zY97MsC/MxYvZa4IxtGIQQZfD+4mcFHbfB+2LKj+X9KTo/Q987dQe8L8qNAGolZwr7zfdcVAPIkmHOFgoh6gC4pZSWoOPF8CZZYT8WDew58N3PHvwcUHh8269bg3/evllwBP9tCnF/ngciFOlz4LstzwMREkJUwPuGwiI1M7RCCAnAJaXM7eP+MX0tcPFYeCzwvhCCbQSQ5/toJJb3p+j8DF1SSquU0iKlrOIfs7gq7OG4u4/riRJFCbyzTMEcAEy+j2Z7w/NA5CJ9DgCeB6LBCe/f7lBvqsN5ox3T1wIT2/BEelLmST1y/BkmKc0fqeZebhbOCYmiQAhR5vuqEEJU+2oMqW8uAOZeTrp9nYz5NyxykT4HFAVSSoeUMktKqZJT36dvgPeTpL7E9LXArgh9iPSkzJN65KL5M/R9BAJ4/wDmwlsnxIUbsZXt+zfUO/nenlOKPhN8i2YAtQCkUQhRpD1JUXe9fDzqf2PQ48wfzwPREclzoMXzQHRpFvRVSSlrwrgtEMPXAhPbvkV6UuZJPXLR+hnypK6v3mZTcuIWhYFJKYuCxi4hhAPeWZZe6+KoOyFEIbwn4ao+ap15HoiRfjwHfjwPRImmM0IxvKUFi8K4W8xfCyxFCF+kJ2We1CMX0c9QSlmk/cPnq63yn9Qpdnr7Y+X/I9cUj0AoJP/Hu5wx7L9qeBcfhdsujeeB6OvXc8DzQPRIKf31yrnwdjTY7nujEY6YvRaY2PYt0pMyT+qRi+XPkCf1GNOcRLJDXO3/48YFHDEmhLD7VoQH8z8/fA30g2+FviPMLhM8D8RAP5+D3vA8ECEpZZXvor2PxV8xfy0wse1DpCdlntQjF42fIU/qunMg9Dv0bM31FFs9zaT4n5f6eAWS7HztjiClLO/rtr7b8TwQZf19Dnz34XkgCoQQPb0JqIf397nHWdt4vBaY2IYn0pMyT+qRi/RnyJO6vuwAZoQ4ngvAyR62cbGyh8U3heBzEDbf6u9cbULVy4lei+eBKIngOeB5IDoa4a1LHmgXipi+FpjYhifSkzJP6pGL9GfIk3r09PjHTAhhEkLI4FkR30rZZk1LGP/q2DIApTGLNHX1+zkAYPN9dKu9bRm8JxNu2hAGX2u0ghCzhMWhbh+E54EoiPA54HkgOtzwloAE/7z8byz6Skxj+lrgzmNhEkI0wrvjiXaf++0AZvnbhPiOtcD7xOT39/7Uu0ieA987eWvQO/wyeFuU5LNJd998SVE2vCcBE7xNuuvh3RK3RnO7Rnh//sG7jJkAVOJU/VQBgEX8/Q9fFJ4DMwArvCcmM7z1bt12cqLufD+7OgC1msMmeJ+PPP9uSzwPxE6kzwHPA9Hhb5cW9DfHv4tkuf+4Xq8FJrZhCvekzJN67EThOeBJnYgGxDcD3tNmFgHbiPI8EBtReg54HogCX/cD7c/WDO82uY6g28X9tcDEloiIiIhSAmtsiYiIiCglMLElIiIiopTAxJaIiIiIUgITWyIiIiJKCUxsiYiIiCglMLElIiIiopTAxJaIiIiIuhFC5Akh6gZ6vR4G6x0AERERESUO39bF/h3azP29Xk/coIGIiIiIuvHtMFat3dWtP9frgaUIRERERJQSmNgSERERUUpgjS0RERFRkhJC2AA0AXADyAWwQkrp1Dcq/XDGlogoyflWJtuFEA2+kxwRpQAhRLEQokUIYerh+gYAG6WUVVLKGgCLANiFEAm1oCueOGNLRJTkpJROIUQpgO1IsBXKRNQ/viR2KQAXvK/nnpLaMgBmKWWt/5iU0i2EqAVgB5Dvu10hAGsY39oipXRHGL7umNgSEaUA3wmtXu84iCgyvuTSAqjktbiHm1oAOEIc3wigQghhklK6pZSOHm6XkliKQERERBRlQog6X7/Xnq43+0oJBqqwh+PuPq7vj5Czxf24Pu6Y2BIRERFFXzm89a7dkltfDWwdgNKBPLCm5ra5l5sNuCzJl3RXA7ABMPtq+CvCvV5PLEUgIkoxvpOm/+PLAvgWl+gYEpHhSCldQogiAHVCCIu/U4EmqbVE0L0g2/dvqJrY3pLdsEgpXTi1s1i/r9cTE1siotRiAlDoT2R9J9FGIUSt72RERHESnNzCm4hGmtRq9VYKkBOFx086TGyJiFLLDCllkX/gO7EC3nq7Gt2iIjIobXLrOxSNpLa3WVn/bG5ThN8jKbHGlogotfQ0K5twizyIaGA0bbmyQ1ztf60b8hMaJrZERKkl4vo6IooebU0tgCL0sKBsABwI/YY1W3O94TCxJSIiIoqB4IVivjr3aCW3dgAzQhzPBeBMhc0WBoKJLREREVGU9dT9oJ/JbY8lRL4tdJuFEGoDB18bsDIMsI1YKuDiMSIiIqLoq0YPC8U0C8rU1rdavh6x2Ti1ycJ6386CDb6E1i8fQKUviQa87f1mRanjQlISUkq9YyAiogj4Zn0qcap3bS2ARfA2aC+H9+ToBuCQUlp0CZKIKA6Y2BIRERFRSmCNLRERERGlBCa2RERERJQSmNgSERERUUpgYktEREREKYGJLRERERGlBCa2RERERJQSmNgSERERUUpgYktEREREKYGJLRERERGlBCa2RERERJQSmNgSERERUUpgYktEREREKYGJLRERERGlBCa2RERERJQSmNgSERERUUpgYktEREREKYGJLRERERGlBCa2RERERJQS/j/w4n/kWcFslwAAAABJRU5ErkJggg==\n",
"text/plain": [
"<Figure size 750x600 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"/home/andreb/miniconda3/lib/python3.7/site-packages/ipykernel_launcher.py:20: RuntimeWarning: divide by zero encountered in true_divide\n",
"/home/andreb/miniconda3/lib/python3.7/site-packages/ipykernel_launcher.py:23: RuntimeWarning: divide by zero encountered in true_divide\n",
"/home/andreb/miniconda3/lib/python3.7/site-packages/ipykernel_launcher.py:26: RuntimeWarning: divide by zero encountered in true_divide\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 750x600 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"def desingularise_our(hu, h, eps):\n",
" return hu / np.maximum(np.minimum(h*h/(2.0*eps)+0.5*eps, eps), np.abs(h))\n",
"\n",
"def desingularise_kp1(hu, h, eps):\n",
" return np.sqrt(2.0)*h*hu/np.sqrt(h**4+np.maximum(h**4, eps**4))\n",
"\n",
"def desingularise_kp2(hu, h, eps):\n",
" return h*hu/(h**2+eps**2)\n",
"\n",
"def desingularise_kp3(hu, h, eps):\n",
" return 2*h*hu/(h**2+np.maximum(h**2, eps**2))\n",
"\n",
"\n",
"\n",
"\n",
"def desingularised_h_our(hu, h, eps):\n",
" return np.maximum(np.minimum(h*h/(2.0*eps)+0.5*eps, eps), np.abs(h))\n",
"\n",
"def desingularised_h_kp1(hu, h, eps):\n",
" return np.sqrt(h**4+np.maximum(h**4, eps**4)) / (np.sqrt(2.0)*h)\n",
"\n",
"def desingularised_h_kp2(hu, h, eps):\n",
" return (h**2+eps**2) / h\n",
"\n",
"def desingularised_h_kp3(hu, h, eps):\n",
" return (h**2+np.maximum(h**2, eps**2)) / (2*h)\n",
"\n",
"\n",
"\n",
"\n",
"x = np.linspace(0, 3.0e-11, 500).astype(np.float32)\n",
"h = x.copy()\n",
"u = np.ones_like(h)*1.0\n",
"hu = h*u\n",
"u_true = hu/h\n",
"u_our = desingularise_our(hu, h, 1.0e-11)\n",
"u_kp1 = desingularise_kp1(hu, h, 1.0e-11)\n",
"u_kp2 = desingularise_kp2(hu, h, 1.0e-11)\n",
"u_kp3 = desingularise_kp3(hu, h, 1.0e-11)\n",
"\n",
"\n",
"fig = plt.figure(figsize=(5, 4), dpi=150)\n",
"#setBwStyles(fig.gca())\n",
"plt.plot(x, u_kp1, label='$u^*_1$', markevery=50, marker='.', color='k', markersize=10)\n",
"plt.plot(x, u_kp2, label='$u^*_2$', markevery=50, marker='+', color='k', markersize=7)\n",
"plt.plot(x, u_kp3, label='$u^*_3$', markevery=50, marker='x', color='k', markersize=7)\n",
"plt.plot(x, u_our, label='Our $u^*$', markevery=50, marker='*', color='k', markersize=10)\n",
"plt.plot(x, u_true, label='Exact $u$', markevery=50, color='k', markersize=5)\n",
"plt.ylim([0.6, 1.1])\n",
"plt.xlim([0, 3.0e-11])\n",
"plt.xlabel('h')\n",
"plt.ylabel('Desingularized $hu/h$')\n",
"plt.legend()\n",
"plt.savefig(\"desing_hu.pdf\", bbox_inches = \"tight\")\n",
"plt.show()\n",
"\n",
"\n",
"h = x.copy()\n",
"u = np.ones_like(h)*1.01\n",
"hu = h*u\n",
"h_true = h\n",
"h_our = desingularised_h_our(hu, h, 1.0e-11)\n",
"h_kp1 = desingularised_h_kp1(hu, h, 1.0e-11)\n",
"h_kp2 = desingularised_h_kp2(hu, h, 1.0e-11)\n",
"h_kp3 = desingularised_h_kp3(hu, h, 1.0e-11)\n",
"\n",
"fig = plt.figure(figsize=(5, 4), dpi=150)\n",
"#setBwStyles(fig.gca())\n",
"plt.plot(x, h_kp1, label='$h^*_1$', markevery=50, marker='.', color='k', markersize=10)\n",
"plt.plot(x, h_kp2, label='$h^*_2$', markevery=50, marker='+', color='k', markersize=7)\n",
"plt.plot(x, h_kp3, label='$h^*_3$', markevery=50, marker='x', color='k', markersize=7)\n",
"plt.plot(x, h_our, label='Our $h^*$', markevery=50, marker='*', color='k', markersize=10)\n",
"plt.plot(x, h_true, label='Exact $h$', markevery=50, color='k', markersize=5)\n",
"plt.ylim([0, 3.0e-11])\n",
"plt.xlim([0, 3.0e-11])\n",
"plt.xlabel('h')\n",
"plt.ylabel('Desingularized $h$')\n",
"plt.legend()\n",
"plt.savefig(\"desing_h.pdf\", bbox_inches = \"tight\")\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
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