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@L-Kov
Created December 26, 2018 18:48
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{
"cells": [
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [],
"source": [
"# IMPORT AND CLEAN PRICE DATA\n",
"\n",
"import numpy as np\n",
"import pandas as pd\n",
"import matplotlib.pyplot as plt\n",
"import json\n",
"\n",
"# Global variables\n",
"dataFile = \"cryptoCompareData.txt\"\n",
"\n",
"# Get data\n",
"f = open(dataFile, \"r\")\n",
"data = f.read()\n",
"dataDict = json.loads(data)\n",
"\n",
"pricesList = dataDict['price']\n",
"\n",
"# Remove bad data points\n",
"cleanData = []\n",
"for i in pricesList:\n",
" if i == 0:\n",
" pass\n",
" else: \n",
" cleanData.append(i)"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.axes._subplots.AxesSubplot at 0x11a88c668>"
]
},
"execution_count": 20,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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RJOXl5bV5bUcbSYWFhRo0aJByc3ODmmf06NH64Q9/GLidzW/48OGBg7i70tjYqLvuukuzZs3S0aNHtXTpUn300UeB85dCofVGUkZGhiRxexsISQAAAAAAZzv7jKTWj9PS0lRbW6uDBw9KkkaOHNnmtR1tJO3du1fjxo1TRERo/5E6MzNTlZWV3bp2xYoVOn78uH7yk58oOjpat956q6KiorR69eqQzXP48GENGjRIqamphCQEEJIAAAAAAI7WUUhKT0+XpMCtbT3ZSCotLW13XSgMGTJEx44dU0tLS5fXvvDCCxo3bpwuu+wySWd+t0mTJmnnzp0hm2ffvn3Kz8+XYRiEJAQQkgAAAAAAjuY/IykrKyvw3IgRIySdubWttrZWpaWlSkhICAQmv7M3kkzTVElJSdC3tZ3LkCFD5PP5Aod/d6a+vl7r16/XtddeK8MwAs+PGjVKxcXFIZnFNE1t3rxZ559/viRp8ODBkqRjx46F5P3RfxGSAAAAAACO5t9IGj16dOA5fwjybyRVVFQoKyurTZiRpKioKEVERAQ2kmpqanT69OmwbCRlZmZKUpe3t73zzjvy+Xy6+uqr2zw/atQolZSUhOTA7aqqKh07dkwXXHCBpDORS5IqKip6/d7o3whJAAAAAABH84ck/3aR9NnB26mpqWpoaNDhw4c1dOjQdq81DENxcXGBkFRaWipJYdtIks5EnHN599135XK5NHPmzDbP5+Xlye12d/n67vB/Y5s/mMXHxys9PT1wADcGri5DkmEYzxmGUWUYRkGr524wDGO3YRgthmFM7+A1IwzDOGkYxv8X6oEBAAAAAOgJf0iKjo6WaZoyTTOweZSWliZJ2rNnT4chSVKbkOQ/SykcIam7G0kbN27UzJkzFRUV1eZ5f/Txz9gb/pDkvwVQknJyclRWVtbr90b/1p2NpD9IuvKs5wokXSfpg05e8wtJoTsqHgAAAACAIPnPSDo7vEifhaTa2tpOQ1J8fHzgjCSrN5KamppUUFCgGTNmtPuZPyT5v4GuNzoKSWPHjtX27dtDcusc+q8uQ5Jpmh9IOn7Wc3tM09zb0fWGYVwj6aCk3SGZEAAAAACAXmi9kXS21NTUwOPubCSVlpYqKSmpzetCJS0tTREREefcSNq3b59aWlo0ceLEdj8bPXq0DMPQvn37ej3LoUOHlJCQ0Ob3nDdvnsrKykLy/ui/QnpGkmEYiZLukfTjUL4vAAAAAADBOldI8m8kSW2/1a21s0NSbm5uu0O5QyEyMlKDBw9WVVWVTNNUQUFBu2v27NkjSZowYUK7n8XHxysvLy9wTW+UlpZqxIgRbX7PK664QpL09ttv9/r90X+F+rDtByX90jTNk11daBjGHYZhbDEMYwtfHwgAAAAACJdz3do2ZsyYwOPPfe5zHb4+Pj6+zRlJ4bitzS8zM1NVVVV64IEHNGXKFG3fvl0bN24MRKW9e8/cHDR27NgOXz9+/PiQhKSSkhKNHDmyzXOjRo3SpEmT9Morr/T6/dF/tf+rqHcukrTEMIzHJKVIajEMw22a5rKzLzRN83eSfidJ06dP5wZLAAAAAEBYdLWRNG/ePA0ZMqTD28WkMxtJrc9Iuvjii8M265AhQ3TkyBG9+uqrkqSCggLdcsstkiTTNLV3714NHz5cCQkJHb5+3LhxWr16tVpaWhQREdzuiGmaOnDggGbNmtXuZ/PmzdMzzzwjr9fb4f8+4Xwh3UgyTfMS0zTzTNPMk7RU0v/fUUQCAAAAAKCvnCskSdI777yjP//5z52+3n9rW319verq6gKHWodDZmamNm/eHPhz6+2fQ4cOae/evRo3blynr/dvKm3ZsqXDn5umqccee0z19fWdvkdVVZXq6+s73Hq6+OKL1djYqB07dnT5u8CZugxJhmEsl7RR0jjDMMoMw7jNMIxrDcMok/R5SW8YhsENkgAAAAAAW+oqJHV13pE/JIXzG9v88vPzA4+joqL08ssvB/788ssvdxmSbrjhBkkKbDSdbePGjbrnnnt00003dfoe/tvnOvoc/5bShg0bzvFbwMm6861tXzVNc5hpmtGmaeaYpvmsaZqv/PNxrGmaQ0zTnN/B6x40TfPn4RkbAAAAAIDuOdcZSd0RHx+vxsZGlZSUSApvSJo6dWrg8bx58yRJ6enpmjRpkp5++mk1NDScMyRlZGRo8eLFeuSRR/Tuu++2+3lRUZEk6Y033pBpdnzKzLlCUk5OjkaMGKEVK1bo6NGj3f/F4BihPmwbAAAAAABb6WojqSv+jaTCwkJJHQeWUJk/f74uvPBC/fu//3vgcy644AItXLhQn376abc+/6mnnlJ8fLwWL16sEydOtPnZoUOHAo937tzZ4esLCwsVHx+vESNGdPjzWbNm6R//+Eebg8oxcBCSAAAAAACO5vV6FRkZ2eUtbJ3xh6SPP/5Yubm5SklJCfGEn0lMTNSWLVv0+OOP6/bbb9ekSZP0m9/8RosWLQpc01VIysrK0nPPPafGxkY999xzbX7WOiQ9/PDDeuihh7Ry5Uq99957qqqqkiR98MEHmj59eqeHdV9wwQWSpJMnu/zCdjgQIQkAAAAA4Gg+ny/o29qkz25t27p1a4ffZBYuU6ZMUUFBgcaNG6fPf/7ziomJUWxsbKebQq195Stf0UUXXaTf//73bW5hO3z4sGbMmKHJkydr5cqVeuCBB3TDDTdo3rx5ys/P1xtvvKGtW7fqS1/6Uqfvfccdd0g6E6ww8BCSAAAAAACO1tuvqo+Li1NdXZ0OHToU1tvaziUiIkLbt2/X+vXru71Zdeutt2r37t3atGlT4LlDhw5pxIgR+vWvf61HH31UFRUV+uijj7Rq1SpFRkZq4cKFkqSvfe1rnb5vcnKybrnlFsXGxvbul0K/FHySBQAAAACgHwhFSJIk0zQtC0mSNGHChB5d/7WvfU333nuvrr32Wm3YsEGjRo3SoUOHNH/+fM2ZM0dz5syRJA0dOlSSdOrUKX3961/X1VdfrWHDhp3zvZOSktqdv4SBgY0kAAAAAICjhSokSVJeXl4IJuobLpdL69atU319vR5++GGdPHlSp06d6jQS3XzzzVq9erX+/Oc/d+u9GxoaQj0y+gFCEgAAAADA0UJxRpJffzsXaNq0abr11lv14osvBr51zr+BdDbDMHTllVcqOTm5y/dNSkqSx+NRU1NTSOeF/RGSAAAAAACO1tuNpIyMjMDjziKMnd1+++1qamrS0qVLJUm5ubm9fk+XyyVJ3N42ABGSAAAAAACO1tuQlJ2dHXgcExMTipH61Pnnn6+hQ4dq+fLlknp+1lJHkpKSJInb2wYgQhIAAAAAwNF8Pl+vQlJOTk4Ip+l7/lvWpDObRIMHD+71e7KRNHARkgAAAAAAjub1ent1RtLIkSO1aNEivfDCCyGcqm/Nnz9fkpScnCzDMHr9fmwkDVzB/5UEAAAAAEA/0Ntb26KiovS3v/0thBP1veuvv14LFy7Ugw8+GJL3YyNp4CIkAQAAAAAcrbchyQmio6P12muvhez92EgauLi1DQAAAADgaD6fr1e3tqE9NpIGLkISAAAAAMDR2EgKPTaSBi5CEgAAAADA0QhJoZeYmCiJjaSBiJAEAAAAAHC0xsZGxcfHWz2Go0RERCgxMZGNpAGIkAQAAAAAcDS32624uDirx3CcpKSkDjeSWlpa1NLSYsFE6AuEJAAAAACAo7GRFB4ul6vNRlJxcbG++c1vKiMjQ1dffTUxyaEISQAAAAAAR2MjKTzO3kj6l3/5F61YsUIXXHCB3nrrLT311FMWTodwISQBAAAAAByNjaTwaL2R1NjYqPfff18/+MEP9M477+iqq67Sf/7nf6qgoMDiKRFqhCQAAAAAgKOxkRQerTeStm3bJp/Pp5kzZ8owDD3zzDNyuVz64he/qE8++URvvPGGfD6fxRMjFAhJAAAAAADHam5ultfrZSMpDFpvJG3atEmSdNFFF0mSsrOztWbNGjU1NWn69OlauHChHnvsMctmRegQkgAAAAAAjuV2uyWJjaQwaL2R9I9//EO5ubkaNmxY4OeTJk3Sxx9/rF/+8peKj4/XCy+8YNWoCKEoqwcAAAAAACBcGhsbJYmNpDDwbySZpqkNGzZo9uzZ7a4ZPXq07r77bkVEROgHP/iBDhw4oFGjRlkwLUKFjSQAAAAAgGOxkRQ+SUlJ8nq92rFjh8rLyzV37txOr/3iF78oSVqzZk1fjYcwISQBAAAAAByLjaTwcblckqTrrrtOkZGRgVjUkXHjxmnYsGFau3ZtX42HMOHWNgAAAACAY7GRFD5JSUmSpIMHD+qVV15RXl5ep9cahqE5c+ZozZo1Mk1ThmH00ZQINTaSAAAAAACOxUZS+KSkpEiSbr75Zl1zzTVdXn/55ZersrJSH374YbhHQxgRkgAAAAAAjsVGUvhcccUV+v3vf6/f/e533br+K1/5ilJTU/X888+HeTKEE7e2AQAAAAAc6+TJk5KkhIQEiydxnkGDBum2227r0fVz587lnKR+jo0kAAAAAIBjnThxQpKUnJxs8SSQpNmzZ6u0tFRHjhyxehQEiZAEAAAAAHAsf0jyf8MYrDV9+nRJ0ieffGLxJAgWIQkAAAAA4FhsJNnLtGnTFBERQUjqxwhJAAAAAADHqq+vl2EYnJFkE4mJiRo/frw2b95s9SgIEiEJAAAAAOBYJ06ckMvlkmEYVo+Cf5o5c6Y2btyo5uZmq0dBEAhJAAAAAADHOnHiBLe12cy8efNUW1urLVu2WD0KgkBIAgAAAAA4ln8jCfZx5ZVXKjIyUq+99prVoyAIhCQAAAAAgGMdP35cKSkpVo+BVtLS0nTppZdq1apVMk3T6nHQQ4QkAAAAAIBjlZaWavjw4VaPgbNcf/31+vTTT1VUVGT1KOghQhIAAAAAwJF8Pp8OHTqkUaNGWT0KzrJgwQJJ0urVqy2eBD1FSAIAAAAAONLhw4fV3NxMSLKhkSNHauzYsXr77bf7/LNN09S2bdvU0tLS55/tBIQkAAAAAIAjHTp0SJI0YsQIiydBR+bPn6+1a9eqqqpKklRTU9Mnt7q9+eabuuCCC/Sb3/wm7J/lRIQkAAAAAIAj1dXVSZLS09MtngQd+d73viePx6Nvf/vbevPNNzV16lSNHTtWP/3pT7Vr166wfe6OHTskSS+99FLYPsPJCEkAAAAAAEfyhyS+tc2exo8fr4ceekhvvfWWrr76ajU1NWnatGm69957NXXqVD3++ONh+Vz/1lNFRUVY3t/pCEkAAAAAAEciJNnff//3f+vAgQN6+umntXPnTn300Ue68847JUl//OMfw/KZ+/fvlySVlJTI4/EEnt+0aZM2btwYls90kiirBwAAAAAAIBz8Icnlclk8Cc4lOztbd9xxR+DPy5YtU2Zmph588EHV1dWFPAQWFRUpKipKPp9PJSUlGjt2rMrLyzVz5kxJZw7jRufYSAIAAAAAOFJdXZ1cLpciIyOtHgU9NGvWLJmmqc2bN4f0fU+cOKHKykotWLBA0pmotGPHDo0fPz5wzbFjx0L6mU5DSAIAAAAAOFJdXZ2Sk5OtHgNBmDp1qiRp9+7dIX3f4uJiSQqEpL179+qJJ56QaZr65S9/KUnat29fSD/Tabi1DQAAAADgSA0NDUpMTLR6DARh8ODBSk9PV2FhYUjf13/Q9syZM5WWlqbCwkL97W9/08KFC3X55ZdLksrKykL6mU5DSAIAAAAAOJLH41FMTIzVYyAIhmFo0qRJId9I8oek/Px8jR8/Xs8995xM09R1112nnJwcSYSkrnBrGwAAAADAkbxeLyGpH/OHpFAefr1//35lZWUpISFB48aNk2maiomJ0YIFC5ScnKxBgwapvLw8ZJ/nRIQkAAAAAIAjeb1eRUdHWz0GgjRx4kTV19fryJEjIXvPoqIi5efnS5Lmzp0rSbrooouUmJgowzCUk5PDRlIXCEkAAAAAAEciJPVvkydPlhS6A7dffPFFbdiwQWPHjpUkXX/99brzzjv1m9/8JnANIalrhCQAAAAAgCMRkvq3SZMmSZJ27tzZ6/c6fPiwvvWtbykrK0t33XWXJCk+Pl7Lli3TeeedF7iOkNQ1QhIAAAAAwJEISf2nqCoYAAAgAElEQVTb4MGDlZ+fr/Xr1/f6vd5//301NTVp9erVbcLR2bKzs1VRUaHm5uZef6ZTEZIAAAAAAI7k8XgISf3cpZdeqg8//FAtLS29ep/CwkJFRUVpwoQJ57wuJydHPp9PVVVVvfo8JyMkAQAAAAAciW9t6/8uvfRSHT9+XFu3bg08F8y3uJWUlGj48OFdhsWcnBxJ4va2cyAkAQAAAAAciVvb+r9FixYpMTFRjz/+uCTpb3/7m7KysrRt27YevU9paalyc3O7vM4fksrLy3s+7ABBSAIAAAAAOBIhqf9LS0vTXXfdpRUrVujiiy/Wl770JR09elRPPPFE4JrKykr96Ec/0v79+zt9n+6GpLy8PH3rW9/SsGHDQjK/E0VZPQAAAAAAAOFASHKGBx54QFVVVfrwww81b948SdJf/vIXLV26VJJ0/vnnq6KiQps3b9bbb7/d7vUej0dHjhzpVkhKS0vTs88+G9pfwGEISQAAAAAARyIkOUNcXFybuLNhwwbNnj1bL730kiIiIlRRUaHzzz9fa9euVX19vZKTk9u8vqysTKZpdiskoWvc2gYAAAAAcCRCkjPNmjVLI0eO1Msvv6w//elPys/P19KlS+X1erV27dp215eWlkoSISlECEkAAAAAAEfyeDyEJAcyDEOLFy/W66+/rnfffVdLlizR9OnTFRERoe3bt7e7npAUWoQkAAAAAIAjeb1excTEWD0GwuDf/u3fAo+vueYaDRo0SGPGjNHOnTvbXesPScOHD++z+ZyMM5IAAAAAAI5jmia3tjlYbm6ufvGLX2j79u2aMWOGJGnKlCnatm1bu2tLS0s1bNgwxcbG9vWYjkRIAgAAAAA4TnNzsyQRkhys9VaSJE2dOlWrVq3SyZMnlZiYGHi+uLhYI0eO7OvxHItb2wAAAAAAjuP1eiURkgaSqVOnyjRN7d69u83zRUVFGjt2rEVTOQ8hCQAAAADgOISkgWfq1KmS1OacpJMnT6qiokJjxoyxaizHISQBAAAAAByHkDTw5ObmKikpqU1IKioqkiRCUggRkgAAAAAAjuPxeCQRkgaSiIgITZkypcOQxK1toUNIAgAAAAA4jn8jKSYmxuJJ0JemTp2qXbt2yTRNSdLevXslSfn5+VaO5SiEJAAAAACA43Br28B03nnnqba2VsXFxZKkPXv2KDc3VwkJCRZP5hyEJAAAAACA4xCSBqarrrpKkrRy5UpJZ0LShAkTrBzJcQhJAAAAAADHISQNTLm5uZo2bZruu+8+7dixQ59++qkmTpxo9ViOQkgCAAAAADgOIWngWrp0qVJTUzVt2jS53W7Nnj3b6pEchZAEAAAAAHAcQtLAddlll+n9998P/Pnqq6+2cBrnibJ6AAAAAAAAQs3j8UgiJA1UU6ZM0ccffyyXy8U394UYIQkAAAAA4Dj+jSQiwsA1Y8YMq0dwJG5tAwAAAAA4Dre2AeFBSAIAAAAAOA4hCQgPQhIAAAAAwHEISUB4EJIAAAAAAI5DSALCg5AEAAAAAHAcQhIQHoQkAAAAAIDjeDweSYQkINQISQAAAAAAx/FvJMXExFg8CeAshCQAAAAAgONwaxsQHoQkAAAAAIDjEJKA8CAkAQAAAAAch5AEhAchCQAAAADgOIQkIDwISQAAAAAAxyEkAeFBSAIAAAAAOI7X61VERIQiIvjHXiCU+CsKAAAAAOA4Ho9HMTExVo8BOA4hCQAAAADgOF6vl9vagDAgJAEAAAAAHIeQBIQHIQkAAAAA4Dg+n09RUVFWjwE4DiEJAAAAAOA4bCQB4UFIAgAAAAA4DiEJCA9CEgAAAADAcQhJQHgQkgAAAAAAjsMZSUB4EJIAAAAAAI7DRhIQHoQkAAAAAIDjEJKA8CAkAQAAAAAch5AEhAchCQAAAADgOJyRBIQHIQkAAAAA4DhsJAHhQUgCAAAAADgOIQkID0ISAAAAAMBxCElAeBCSAAAAAACO4/P5CElAGBCSAAAAAACO4/V6OWwbCANCEgAAAADAcbi1DQiPLkOSYRjPGYZRZRhGQavnbjAMY7dhGC2GYUxv9fwVhmF8YhjGrn/+59xwDQ4AAAAAQGcISUB4dGcj6Q+SrjzruQJJ10n64KznqyUtMk1ziqRvSPpjbwcEAAAAAKCnOCMJCI8ubxg1TfMDwzDyznpujyQZhnH2tdta/XG3pHjDMGJN02zq9aQAAAAAAHQTZyQB4RHOM5Kul7S1s4hkGMYdhmFsMQxjy7Fjx8I4BgAAAABgoOHWNiA8whKSDMOYJOmnkv6ls2tM0/ydaZrTTdOcPnjw4HCMAQAAAAAYoAhJQHiEPCQZhpEj6RVJXzdNszjU7w8AAAAAQFcISUB4hDQkGYaRIukNSfeaprkhlO8NAAAAAEB3+Xw+zkgCwqDLkGQYxnJJGyWNMwyjzDCM2wzDuNYwjDJJn5f0hmEYb//z8rsk5Uu63zCM7f/8n8ywTQ8AAAAAwFlM01RzczMbSUAYdOdb277ayY9e6eDahyU93NuhAAAAAAAIltfrlSRCEhAG4fzWNgAAAAAA+hwhCQgfQhIAAAAAwFF8Pp8kcUYSEAaEJAAAAACAo7CRBIQPIQkAAAAA4CiEJCB8CEkAAAAAAEchJAHhQ0gCAAAAADgKZyQB4UNIAgAAAAA4ChtJQPgQkgAAAAAAjkJIAsKHkAQAAAAAcBRCEhA+hCQAAAAAgKNwRhIQPoQkAAAAAICjsJEEhA8hCQAAAADgKIQkIHwISQAAAAAARyEkAeFDSAIAAAAAOMqpU6ckSYMGDbJ4EsB5CEkAAAAAAEc5ffq0JCkhIcHiSQDnISQBAAAAABzFv5FESAJCj5AEAAAAALC14uJi7dq1q9vXE5KA8CEkAQAAAABsbdq0aZo6daoaGhokSQcPHtSvfvUrmabZ4fWEJCB8CEkAAAAAANsyTVMnT56UJBUWFkqS7rnnHt19993asGFDh685deqUIiMjFRMT02dzAgMFIQkAAAAAYFv+7SJJKioqkiQdOXJEkrR+/fpOX5OQkCDDMMI/IDDAEJIAAAAAALZVU1MTeFxRUSFJqqyslCR99NFHHb7GH5IAhB4hCQAAAABgW9XV1YHHR48elc/n04EDByRJe/bs6fA1hCQgfAhJAAAAAADbar2RVFlZqaqqKrW0tCg9PV0HDx6U1+tt9xpCEhA+hCQAAAAAgG35Q1JqaqqOHj0auL3t0ksvVXNzs0pKStq9hpAEhA8hCQAAAABgW/5b2yZOnKjKykodPXpUkjR37lxJ0o4dO9q9pr6+XklJSX03JDCAEJIAAAAAALbl30iaMGFCm42kK6+8UvHx8R1+c1tZWZlycnL6dE5goCAkAQAAAABsq6amRikpKcrOzlZNTY3KysokScOHD9fMmTP1wQcftLm+qalJR48eVW5urhXjAo5HSAIAAAAA2FZ1dbUyMjI0ZMgQmaapXbt2KTU1VbGxsZozZ462b9/e5pvd/KFpxIgRVo0MOBohCQAAAABgWzU1NUpPT9eQIUMkSdu3b9ewYcMkSQsXLpRpmvqf//mfwPV/+ctfJEljx47t+2GBAYCQBAAAAACwrerqaqWnp2vo0KGSpAMHDgQen3/++frOd76jZcuW6eDBgyouLtb999+v6667TjNnzrRybMCxCEkAAAAAANuqrq7W4MGDAxtJkpSVlRV4/KMf/UgRERH6+te/rgcffFBRUVFatmyZDMOwYlzA8QhJAAAAAABbMk1Tx44d0+DBg5WbmxuIQyNHjgxck52dreeff17r16/Xn/70J912222BW98AhF6U1QMAAAAAANCRxsZGud1upaenKyoqSldddZXefPNNzZ07t811N998swoKCvTJJ5/o4YcftmhaYGAgJAEAAAAAbKm+vl6SlJKSIkl64YUXtHbtWl122WXtrn300Uf7dDZgoCIkAQAAAABsqa6uTtJnISk9PV1LliyxciRgwOOMJAAAAACALZ29kQTAeoQkAAAAAIAt+TeSkpOTLZ4EgB8hCQAAAABgS2ff2gbAeoQkAAAAAIAt+W9tYyMJsA9CEgAAAADAlthIAuyHkAQAAAAAsKX6+npFRUUpPj7e6lEA/BMhCQAAAABgS3V1dUpJSZFhGFaPAuCfCEkAAAAAAFs6efKkEhMTrR4DQCuEJAAAAACALbndbm5rA2yGkAQAAAAAsCW32624uDirxwDQCiEJAAAAAGBLhCTAfghJAAAAAABbIiQB9kNIAgAAAADYEiEJsB9CEgAAAADAlghJgP0QkgAAAAAAtkRIAuyHkAQAAAAAsKWmpiZCEmAzhCQAAAAAgC2xkQTYDyEJAAAAAGBLbrdbsbGxVo8BoBVCEgAAAADAlthIAuyHkAQAAAAAsJ2WlhZ5PB5CEmAzhCQAAAAAgO00NTVJEiEJsBlCEgAAAADAdtxutyRCEmA3hCQAAAAAgO0QkgB7IiQBAAAAAGyHkATYEyEJAAAAAGA7hCTAnghJAAAAAADbISQB9kRIAgAAAADYDiEJsCdCEgAAAADAdghJgD0RkgAAAAAAtkNIAuyJkAQAAAAAsB1CEmBPhCQAAAAAgO0QkgB7IiQBAAAAAGyHkATYEyEJAAAAAGA7/pAUGxtr8SQAWiMkAQAAAABsh40kwJ4ISQAAAAAA2yEkAfZESAIAAAAA2I4/JMXExFg8CYDWCEkAAAAAANtxu92KjY1VRAT/2ArYCX9FAgAAAABsx+12c1sbYEOEJAAAAACA7RCSAHsiJAEAAAAAbIeQBNgTIQkAAAAAYDuEJMCeCEkAAAAAANshJAH2REgCAAAAANgOIQmwJ0ISAFistLRUTz/9tA4fPmz1KAAAALZBSALsKcrqAQBgIDNNUwsXLlRBQYGys7O1b98+DRo0yOqxAAAALOd2u5Wammr1GADOwkYSAFjowIEDKigo0IIFC1ReXq6XXnrJ6pF65Mknn9SVV16pH/7wh/J4PFaPAwAAHISNJMCeCEkAYKGtW7dKkn784x9r/Pjxevzxx9XS0tInn22aZq9ev2XLFt15553as2ePfvazn+mpp54K0WQAAABnQlJ8fLzVYwA4CyEJACy0detWRUdHa8qUKbr//vu1a9cuvfLKK2H/3JaWFi1evFiLFi0K+j1+9atfKTExUbt27dIVV1yhH//4x2wlAQCAkGEjCbAnQhIAWGjr1q2aPHmyYmNj9eUvf1nZ2dl68cUXw/65f//73/X666/r9ddfV2FhYbdf94c//EETJkzQL37xCy1fvly33367XC6Xbr/9dtXW1mr37t1hnBoAAAwkhCTAnghJAGAR0zS1detWXXDBBZKkyMhILVq0SH//+9/V1NQU1s9+/vnnA49XrVrV7dfdf//9+vTTT/Uf//EfSktL03333SdJOv/88yV9dqseAABAbxGSAHsiJAGARcrKylRdXR0ISZI0f/58nTx5Ups3bw7b53q9Xr311lv69re/rVmzZnU7JDU0NOjw4cO6++679cc//lHvvvuuMjMzJUmjR49WUlKStm3bFra5AQDAwEJIAuyJkAQAFnjnnXd06623SlKbkHTJJZdIkt5///2wffaGDRt04sQJLViwQF/+8pe1Y8cO5eXlad68eSotLe30dTt37pQkXX755br55ps1derUwM8iIiI0fPhwHT16NGxzAwCAgaOlpUUej4eQBNgQIQkALPD9739f7733nmbOnBm4LUyS0tPTNWXKlLCGpNWrVys6Olrz5s3TrbfeqhtuuEGTJ0/Wxx9/rAsvvFB/+MMfOnydf9to2rRpHf48KSlJJ06cCNfYAABgAPHf5k9IAuyHkAQAfaylpUWHDx/Wv/7rv2rjxo2KjY1t8/PLLrtMGzZskNfrDcvnv/3225o9e7aSkpKUnJys//u//9Prr7+uzZs3Ky8vT9/85jc7PDR7+/btysjIUFZWVofv63K51NDQEJaZAQDAwOJ2uyURkgA7IiQBQB8rKyvT6dOnNWHChA5/ftlll+n06dPasmVLyD/b5/OpsLBQM2bMaPez8ePH67XXXpNhGFq5cmW7n2/btk3Tpk2TYRgdvrfL5WIjCQAAhAQhCbAvQhIA9LHi4mJJ0pgxYzr8+aWXXipJeu+990L+2QcPHpTX6+00Yg0bNkyzZ8/WqlWrtGrVKn3hC1/Qvn375Ha7tXPnTk2fPr3T9yYkAQCAUCEkAfZFSAKAPnb8+HFJUkZGRoc/z8zM1CWXXKKlS5dq9+7d+upXv6o5c+aopqam15+9Z88eSWe2jzqzZMkS7dq1S0uWLNH777+v//qv/9KWLVvk8/k63GTy49Y2AAAQKidPnpQkxcfHWzwJgLMRkgCgj9XV1UmSUlNTO73mySeflNvt1uTJk7VixQqtW7dO999/f68/+9NPP5XUdUjyu+mmm7Rq1SotXrxYSUlJmjdvXqev8x+2bZpmr+cEAAADm/9foHX2L94AWCfK6gEAYKCpra2VJKWkpHR6zeTJk7V161bde++9uuKKK/TKK6/oo48+6vVnf/rppxo6dOg5PzsrK0vvvfeeMjMzlZmZqZdeekm1tbV69tlnlZyc3OnrXC6XTNPUqVOnlJiY2OtZAQDAwFVdXS2JkATYESEJAPpYXV2dIiIilJSUdM7rxowZo1WrVkmSDh06pJ/97Gdyu929OiugsLCw0/ORWpszZ07g8bZt21RRUXHObSTpTEiSpBMnThCSAABArxCSAPvi1jYA6GO1tbVKSUnp9NvPOnLhhRfK5/Np586dQX+uz+fTjh07NG3atB69buLEiV1GJOmzkMQ5SQAAoLf8ISk9Pd3iSQCcjZAEAH2strb2nOcjdcT/bWmffPJJ0J9bWFgot9t9zm9e6w3/hhXf3AYAAHqrpqZGSUlJio2NtXoUAGchJAFAH6urq+txSBoxYoTS09N7FZK2bNki6cx2Uzi0vrUNAACgN6qrq9lGAmyKkAQAfcx/a1tPGIahCy+8MOiQ1NTUpBdffFFJSUkaM2ZMUO/RFUISAAAIlerqas5HAmyKkASEQUtLi772ta9pzZo1Vo8CGwpmI0k6s0lUUFAgt9vd6TWNjY06duxYm+dM09Q3vvENrVmzRo8++qgiIsLzf/o5IwkAAIQKIQmwL0ISEAY7d+7U8uXLtWjRIqtHgQ0Fs5EknTknqasDt7/zne8oMzNTp06dCjz3k5/8RH/5y1/0yCOP6Hvf+15QM3cHG0kAACBUCEmAfRGSgBCpqqqSaZqSpL1790o6sx0CnK03G0lS5wdum6apF154QZK0YcOGwH8+8MADuummm3TPPfcEOXH3cNg2AAAIlZqaGkISYFOEJCAEnnjiCQ0ZMkRDhw7VV77yFdXV1QV+dvr0aQsng900NjaqqakpqJDkP3Dbf2j22fbv3x94vG7dOknSI488oqFDh+qpp56SYRhBzdxdsbGxiomJISQBAIBeaWpqUkNDA4dtAzZFSAJ6yev16pFHHlFkZKSqqqq0cuVK1dbWBn7e+h/uAf9/N4K5ta2rA7fXrl0rSYqLi9O2bdt0+vRprVmzRkuWLAlsC4Wby+XijCQAANArNTU1ksRGEmBThCSglzZt2qTy8nItX75cjz32mFpaWnTo0KHAzw8cOGDhdLCb6upqScH/jdGFF16o3bt3d3jg9po1a5SVlaUbbrhBO3fu1Jo1a+R2u7Vw4cJezdwTLpeLjSQAANArvf37JQDhRUgCeumDDz6QJM2bN0+DBw+WJO3bt0+xsbGSpOLiYstmg/34v1HN/9+Vnmp94Lb/TC5Jam5u1nvvvafLL79c5513no4cOaLnn39eSUlJuuyyy0Iye3ckJSURkgAAQK8QkgB7IyQBvVRaWqrMzEylpaUF4kBRUZFGjhyp9PR07dmzx+IJYSdVVVWSpMzMzKBe7z9we86cOcrNzdWuXbsknflmturqal133XU677zzJEmvvPKK5s+fr5iYmBBM3j1sJAEAgN7yhyTOSALsKcrqAYD+7siRI8rKypL02ZbJoUOHNHPmTI0ZMyawsQRIn20kBRuSRowYoby8PJWUlOj06dO68cYbtWDBAv385z/XTTfdpMWLF7cJOX15W5t0JiQdPXq0Tz8TAAA4y5EjRyQp8PfYAOyFjSSgl44cOaJhw4ZJanu7Umpqqr7whS+oqKhI5eXlVo0Hm6mqqlJkZGRQ39omnTlw+4MPPlBhYaFefvllFRYW6uc//7m+8Y1v6Pnnn5dhGEpOTtbChQuVl5en6667LsS/wbmxkQQAAHqrvLxcsbGxSktLs3oUAB3oMiQZhvGcYRhVhmEUtHruBsMwdhuG0WIYxvSzrr/PMIz9hmHsNQxjfjiGBuyko40k6cy3cn3hC1+QJG3YsMGK0WBDVVVVysjIUERE8B1/+PDhmjBhgq699lpt3LhRa9eu1fPPP6/o6OjANX/9619VUFDQZ9/W5scZSQAAoLfKysqUk5MjwzCsHgVAB7pza9sfJC2T9EKr5wokXSfp6dYXGoYxUdKNkiZJypL0rmEYY03TbA7JtIDN+Hw+VVZWBkJSQkKC4uLi5Ha7lZqaqlGjRkk68/8M4UxNTU2Bg9W7o7S0VNnZ2SH7/JkzZ3b4fGRkpBISEkL2Od3FRhIAAOit8vJy5eTkWD0GgE50+a/ETdP8QNLxs57bY5rm3g4u/5KkFaZpNpmmeVDSfkmfC8mkgA1VVlbKNM1ASDIMI7CVlJKSouTkZEVHRwcOWIazLFu2TElJSfrrX//a7dfs2rVLU6ZMCeNU1nK5XGpsbJTP57N6FAAA0A/5fD7t2LFD48aNs3oUAJ0I9RlJ2ZIOt/pz2T+fAxypo4MA/VtIqampMgxDmZmZhCQHampq0v333y+v16trr71Wt9xyi956661zvqagoEAVFRWaPn36Oa/rz1wulySpoaHB4kkAAEB/tGLFCp04cULz53NKCmBXlh22bRjGHYZhbDEMY4v/W4yA/qaiokJS25A0a9YsSVJeXp4kaciQIYQkB1q+fLlqa2v1+OOPKzo6Wn/605/0zW9+s90mzjvvvKPS0lJJ0tNPP624uDh99atftWLkPuEPSf/7v/9r8SQAAKA/qaio0Oc+9zndcsstmjFjhhYtWmT1SAA6EeqQVP7/2LvvgKrq/4/jz8sWlCWIgjjAAQ4URUlTcySONC1NNP2WmSN/aZaZWo5v2lAbWllZrtI0zZE7B2pSTgTEgbhwsERWIEP2/f3B95y4crmse7kX/Dz+Ec8999zPVbic8zrvz/sDuBb7e+P/bStBqVSuViqVPkql0qd4g2JBqEnUVSTNnDmTZcuW8fzzzwNFy7w/ePBAL+MTdGfPnj24urryzjvvEBwczJIlS4iPjyc4OFje5++//8bPz4/nn38epVLJ0aNH6devH/Xr19fjyHXL1bXoV8A777zDrVu3WLJkCT169JB/VgRBEARBENQZNGgQ58+fZ8qUKRw9elRlERFBEAyLtoOkvcBohUJhrlAomgMtgSAtv4YgGIy4uDiMjIxo0KCBvM3BwYHZs2djZmYGiCCpNsrOzubYsWMMHDgQhUKBl5cXr7/+OgDHjh2T9ztx4gQAly5d4sCBA1y7do0ePXroY8jVpl+/fmzduhWAli1b8sEHH3Dq1Cn27dun55EJgiAIgmCo4uPjuXjxIjNmzOCHH36QK5wFQTBMZQZJCoViC3AGaK1QKGIUCsXrCoXiBYVCEQN0Aw4oFIrDAEqlMhzYBlwFDgFvihXbhNosLi4OJycnTExKXwDRwcGBlJSUUh8Xap7t27eTnp7OyJEj5W2Ojo54enoSFPRvdn7nzh0sLS2xsbGRy7OfffbZah9vdVIoFPj7+7N161batm3L+vXrsbOzIzQ0VN9DEwRBEASDd/jwYT7++GNyc3P1PZRqdfHiRQBeeOEFPY9EEITyKP3q93+USmVpzTx2lbL/J8AnVRmUIBi65ORkjI2NiYuLo1GjRhr3tbe3JzMzs8LLxAv6p1QqmTJlCj4+PkyePBmAwsJCvv/+e1q1alUiFGrcuLFK9dmdO3fo2LEjvr6+rFixAnd3dzp37lyt70Ff/P398ff3B+CHH37gzp07eh6RIAiCIBi2u3fvMnDgQAA6d+7MoEGD9Dyi6iOdJ7Ro0ULPIxEEoTz01mxbEGqyZ599lmbNmhEbG6vSH0kde3t7AP7555/qGJqgRQEBAaxZs4YpU6bw6NEjlEolCxcu5OzZs4wfPx4jI9WPUBsbG9LS0uS/3759Gzc3N2bMmEHr1q1ZtWoVCoWiut+G3jVp0oSoqCh9D0MQBEEQDNqXX34pfy0t1PGkuHfvHqampmXeoBUEwTCIIEkQyiEhIYEff/yRgoICUlJSCAsLIy0tjUuXLuHi4qLxuVKQJKa31Tzr1q2Tv3733XdxcHDgk08+YeTIkcydO7fE/jY2Njx8+BCA3NxcYmJiaN68OU2bNuXatWv079+/2sZuSFxdXYmOjkapVOp7KIIgCIJgkB48eMC6det45ZVXMDY2Jjo6Wt9DqlZRUVE0bty4xE06QRAMk/hJFYRy+OCDD3jjjTfYvXs3t2/fVnmsadOmGp8rgqSa6eHDh+zdu5f/+7//w9XVlVWrVpGSkoKZmRmLFy9WW1lkbW0tVyRFRUVRWFiIm5tbdQ/d4DRu3JisrCyVai1BEARBEP41a9Ys8vPz+eCDD3BxcXniKnnv3btX5jm1IAiGQwRJglAOCQkJAAQHB5cIkp5++mmNz5WCpOTkZN0MTtCJ3bt3k52dzbhx45g6dSpmZmYcPXqU1NRUPD091T7HxsaGzMxMCgoK5Ln+zZs3r85hGyRbW1sAESQJgiAIghpJSUls3bqVadOm0bp1a5o0afJEViSJIEkQag4RJAlCOWRnZwMQGhpaIkgqazn3+vXrA6IiqSZITk5mw4YNKJVK9u3bh4uLC0899RRz584lOTmZfv36UadOnVKfL5xeR6gAACAASURBVC1V+/DhQ/n7RARJUK9ePQDS09P1PBJBEARBMDzbtm0jPz+fV199FSiaEv4kVSTl5eURGxtLkyZN9D0UQRDKSQRJglAOUiVFaGgokZGRNGjQgIiICIKCgsqcyy0qkmqOcePGMX78eC5dusTJkyfp06cPCoUChUJB3bp1y3y+jY0NUBQk3blzB1NT0zJ7aD0JRJAkCIIgCKXbuXMnbdq0wcvLCyhapCImJobCwkI9j6x6xMXFUVhYKIIkQahBRJAkCOWQmpoKFJUenzhxAjc3Nzw8POjSpUuZz61Xrx7GxsZi1bYaQJqOtm3bNuLj4+natWuFni9VJKWlpXHv3j1cXV0xNjbW+jhrGimEE0GSIAiCIKjKz8/n7Nmz9OvXT+6/6OrqSl5eHg8ePNDz6KqHNI3P1dVVzyMRBKG8RJAkCOWQlpZGu3btALh16xYeHh7lfq5CocDW1lYESTWAFHh88803AOUKCosrXpEUHx8vlrD9H1GRJAiCIAjqXb58maysLLp16yZvkypzyuqTVFtWQxVBkiDUPCJIEoRySEtLo1evXvLfS2u2XBo7OzsRJNUA0vTDjIwMTExM6NChQ4WeX7wi6f79+yJI+h8pSMrIyNDzSARBEATBsBw/fhyAnj17ytukQEVTn6TExERcXV357rvvdDvAaiCCJEGoeUSQJAhlKCgoIDs7mwYNGsjb2rdvX6Fj2NvbG2yQtGLFCsaPH4+fnx8ffPDBEzMfX52kpCT5a0dHR42NtdUpXpEkgqR/Sf+Ojx490vNIBEEQBMFwKJVKDh8+TJs2bWjcuLG8vTwVSRcuXCA2NpZp06aRn5+v87FqQ0pKCvPnzy/xvqKjo7GxsZFvPAmCYPhEkCQIZcjJyQHAwsKCBQsWANC3b98KHcNQK5LCw8OZOXMmGzZsICQkhCVLljBp0qRaUypdETk5OWRkZDBw4ECASi1BK1Uk3b9/n4cPH4og6X9EkCQIgiAIqu7cuYO9vT0BAQEMGDBA5TE7OzssLS01ViQlJCTIX584cUJXw9SqDz/8kE8++YTp06erbL9z545otC0INYwIkgShDNLFb506dVi8eDFKpRJzc/MKHcNQg6QvvvgCS0tLkpKSSE5OZv78+axfv55t27bpe2jVTprWNmTIEGbNmsWvv/5a4WNIFUnXr18HEEHS/1hYWAAiSBIEQRAEyXvvvScv5uLv76/ymEKhICsri6+++ko+p3hc8SBpy5YtuhuolqSnp/PTTz8BsG/fPu7fvw9AYWEhZ8+excfHR5/DEwShgkSQJAhlyM7OBv69GK4MOzs7UlJStDUkrYiNjWXz5s1MmDCB+vXrA7Bo0SLc3d354Ycf9Dw67crMzGTKlCmEhoaWuo80rc3JyYnPP/+c5s2bV/h1LC0tMTY2FkHSY8zNzVEoFPLPkiAIgiA8ydLS0ti3bx9vvfUWkZGR+Pr6lthnwoQJALz11ltqj5GQkICpqSmvvPIKO3fuJC8vT6djrqp169aRkZHBjz/+SGFhIQEBAQBERESQnJys0iNKEATDJ4IkQShD8YqkyrKzsyM1NdWgpoytXr2a/Px83nnnHXmbkZEREyZM4MSJE0RGRupxdNq1Y8cOVq9ezeLFi0vdRwqSHBwcKv06CoUCa2trESQ9RqFQYGFhUWZF0oQJExg/fnz1DEoQBEFQkZ6ezu3bt/U9jCfCvn37yM3NZdSoUbi5uandZ+3atcyePZs///xT7aqnCQkJODo68sILL5CWlkZgYKCuh10l69atw9fXl4kTJ+Lg4MDRo0f57LPPGDp0KMbGxvTv31/fQxQEoQJEkCQIZdBGRZK9vT0FBQUGs/y5Uqlk48aNPPvssyVOYF599VWMjIxYv369nkanfceOHQMgPj6+1H2kqW1VCZKgaHqb9DoNGzas0rFqkzp16pQZJP30009s2LCBsLCwahqVIAiCABAXF4enpyfu7u506NCBiRMncujQIX0Pq1aKiYnh3XffxdPTk6eeeqrU/RQKBQMGDCAvL09tD6TExEQaNGiAn58flpaW7NixQ4ejrppr165x5coVxo4di5GREf379+eXX35hzpw52NjYsGXLFpVm44IgGD4RJAlCGbRVkQQYTJ+kmJgY7t69y9ChQ0s85uLiwsCBA1m/fj0RERF6GJ12KZVKeWnd0voMwL8VSdI0v8qSGm6bmJhUOZSqTcoKkqSm9lC0kqAgCIJQfT766CMSEhKYO3cuVlZWrFu3rtQpVULl5efn89JLL5GVlcXOnTsxNjbWuP/TTz+NpaUlf/zxR4nHEhISaNCgAZaWlgwZMoQdO3ao9E0yJFLI9eKLLwKwdOlS+vTpw3vvvUdoaCgvvfSSPocnCEIliCBJEMqgrR5JYDhBUlBQEIDaOfkA8+fPJzs7m06dOnHz5s3qHJrW3bp1i9jYWJo3b05qaioZGRlq99NWkCQ13HZycsLISHzESurUqaOxR5J08mtmZsbWrVuJiYkRPZUEQRCqQXJyMj/99BOvvfYaS5Ys4fTp0yxbtoybN2/y4MEDfQ+vVtm2bRtnz55l9erVeHp6lrm/ubk5zz33HLt27aKgoEDlMSlIApg9ezYZGRn07NmThw8fyvtkZ2fz2Wef8dVXX5Gfn6/dN1MBO3bsoHv37ri4uADQpEkTjh8/zmeffYZCodDbuARBqDxxlSMIZaiNFUnnzp3DzMyMDh06qH28W7dunDlzhtzcXNasWVPNo9MuqTR/7NixAPIqIY9LSkrC2toaMzOzKr2eVJEk+iOpKqsiSZoO+Mknn1BQUICrqytOTk6kpaVV1xAFQRCeSD/99BM5OTkqFUjdu3cH/r3xJGjHgQMHcHR0LLFKmyajRo3iwYMHJc7HigdJnTt3Zvfu3URGRjJ37lwAbt68Sffu3ZkzZw7vvPMO/fr1Y9KkSdW+Mu/Nmze5ePGiqDoShFpGBEmCUAZtViSlpKRQWFiolXFVRVBQEB07dsTc3LzUfTw8PHj++efZsGEDubm51Tg67dq4cSMdO3akV69eQFEfCHWSk5OrXI0E/1YkiSBJVVlBknTXu1evXvz555+4u7vz8OFDjSvtCYbnypUrfP/99/oehiAIFXDkyBG8vLxo27atvM3b2xuFQkFISIgeR1a7KJVKAgIC8PPzq1DF8vDhw+nXrx/vvfeefDMsMzOTrKwsOUgCGDhwIK+//jrr169nzpw5dO7cmXv37rF3716WLl3K6dOnWbt2Lf7+/ly8eFHr7680j09rEwShdhBBkiCUQZsVSStXrqRu3brcunVLK2OrjIKCAoKDg0ud1lbcxIkTSUhIYP/+/dUwMu24ePEiy5YtIzg4mJMnTxIcHMz48eNxdnYGNFckaaOnkb29PSCCpMeVN0hycnKiZ8+e7N27V2W7UDNMnTqVN998k0uXLul7KIIglNOVK1fo3LmzyjYrKyvc3Ny4evWqnkZV+1y/fp3ExET69OlToeeZmJjwww8/kJubK1cbSdPBiwdJUDTFrV69enz22We0b9+eCxcuMHToUObMmUN2djaxsbE4ODiwaNEi7bypctixYwe+vr40adKk2l5TEATdE0GSIJRBW6u2AQQGBvLo0SO1q29Ul+PHj5OZmckzzzxT5r4DBgzAzs6uxqzcUlhYyH/+8x/mzp1Lly5d6NmzJ3Xr1uXll1+Wg53SgqTExEStBknaqG6qTaysrMjMzCz1cWlqm5OTk8qfIkiqWaTv/4MHD+p5JIIglEdBQQEJCQnyzZbiPD09a8WiG4bi1KlTQFED7Ypq0aIFM2fOZOPGjURERJCYmAiUDJLc3d2JiIjgwIED/PXXXyrhjbGxMc7Ozvj7+3Po0CGVXkq6EhUVRWhoKCNGjND5awmCUL1EkCTUSkqlkmXLlvHzzz9X+VjaqEiysrLC1NRU/vu1a9eqPK7K+umnn7Czs+O5554rc18TExPc3d25d+9eNYys6g4ePMjly5dZunQpAwcOZMaMGYSGhuLo6IidnR3m5ualTm2LiYnRytKz0tRFExOTKh+rNikrSHrw4AE2NjZyYGtnZ4eJiYkIkmqYevXqAcgrJQqCYNiSk5MpKCigYcOGJR5r06YNN27c0GuT5trk9OnT2Nvb06pVq0o9/+2338bIyIhff/1VrkhydHQssZ+DgwODBw8udUW4cePG8ejRI3nKmS5Jq82pWyVYEISaTQRJQo2wefNmwsPDy73/9evXmTt3Lq+99hpJSUlERkZW+rW1UZGkUChQKpXy36synqpITU1l165djBkzptzvp0GDBiQnJ+t4ZNqxefNm6tevz8yZMzl48CBfffUVLVu2BIr+Dxo2bKi2IiknJ4eEhAStBElS4ChVZghFrKysSl0xD4oqkopfyBgZGWFnZ2cwDeqF8pHCwpCQEJXPPENz//598vLy9D0MQdA7qRpUXZDUvn17cnNzRVWSlpw6dYru3btXekVXJycnnnrqKQ4fPlzq1Lby8PX1pWXLlmzatKlS46iIY8eO4erqSuvWrXX+WoIgVC8RJAkG78aNG4wbN47BgweX+znFexC5urri6elJdHR0pV5fGxVJgHxHz8HBQW9B0vbt28nOzmb8+PHlfk69evWqpfy5qpKTk9m2bRsjRoxQqf4qztnZWSVICggIYMeOHcTGxgJF3ytVNW3aNObMmcPkyZOrfKzapDwVSdJ0NokIkmoe6f84OTmZmJgYPY9GvQcPHuDs7Iyfn5++hyIIeidVfaoLkqS+SaLhdsUplUqVz8CIiAiuX78ur4ZXWX5+fgQHB8uV7eoqksqiUCgYNWoUgYGB8hS5isrNzdW4eMw///zDwYMHOXDgAD169EChUFTqdQRBMFwiSBIMXmBgIFA0z1oqwz18+LB8F02dqKgo+evs7Gzy8vL46quvKvX6UkWSphXOymPUqFEADBs2jNu3b+v0bv3+/fvVTgk6dOgQzZo1w8fHp9zHsra2Jj09XZvD04l9+/ZRUFDAK6+8Uuo+jRo1koOkpKQk/Pz8eOmllwgICAC0EyRZW1uzdOlSLC0tq3ys2qRu3bplBkmPX8jY2tqKIKmGycrKkkP3sLAwPY9GvUmTJgFw4sQJ8f0lPPEe709XXKtWrahbty7nzp2r7mHVSNnZ2SiVSpRKJXPmzMHV1ZVvvvmG8PBwunTpQt26dRkzZkyVXqN///4olUq2bt2KlZUVVlZWlTrOiBEjKCwsZM+ePRV+7u3bt2natCleXl5q2wXk5ubStWtXBg8ezKNHjyrcXFwQhJpBBEmCwbt586b89Zo1a4iKimLgwIH83//9X6nPSUlJAeCtt97i0KFDDB8+nM2bN1dqnv+jR4+wsLCo8t2UdevWERERQceOHcnMzNRZ75c//viDoUOH8tprr5V4LCgoiO7du1fovVhbW9eIiqSQkBDMzc3p1q1bqfs0atRIPunZsGGDvH369OmAdoIkQT0rKytycnJK/RmMj48XFUm1QGZmJt26dUOhUHDhwgV9D0etv//+W25AKzW/FYQnlaapbcbGxvTt25cDBw4Y9FRVQ5Cenk6dOnUwMjKiTp06fP755wDMmjWLcePGYWpqSlhYGM2aNavS63Tt2hVra2uio6OrNB2/Y8eONG/evFJ9kiZNmkR8fDzh4eF8+OGHJR7funUrt27dYurUqaxcuVLt+aggCDWfCJIEgxcXF0fz5s3p2bMn8fHxcoWSpulhKSkp1K1bl6+//poBAwbwn//8hwcPHnD69OkKv352dnaV+iNJ6tati4eHBy1atABUp99p09KlS4GS1QAPHz4kJiaG9u3bV+h49erVIysri4KCAq2NURcuXLiAj4+Pxt4Dzs7OpKWl8ccffzB37ly8vLyYPn263Culqid4Qumku6bqqpKys7NJS0sTQVItkJmZiZOTEy1btjTI6TAZGRmkpqby2muvYWpqyt9//63vIQmCXsXHx2NpaUndunXVPj506FCio6O5dOlSNY+sZil+fjlmzBhWr15NeHg4eXl5hIWFsWDBAtzd3av8OiYmJnKFT4cOHSp9HIVCgb+/P0ePHpX7LUHRlLzff/+d1NRUtc87efIkx48fZ/ny5QwYMIDz58+rPK5UKvnqq69o06YN3333HdOmTROLjwhCLSWCJMHgPXz4EBsbG3r16kV4eLi8GpC6MmxJSkqKSrNjaU56Ze6QP3r0qMr9kYqTVuu4fv261o4pefjwIadOnaJOnTrcv39fZe67FFxJzafLy9raGsCgp7cVFhZy8eJFvL29Ne7XqFEjAJ577jny8/N5/fXXmT17Nu7u7owcObLK0xeF0mkKkqTqPBEk1XyZmZlYWlrSu3dvjh07Jk8N1rX9+/czbdo09u7dq3E/qR9aixYt8Pb2JigoqDqGJwgGS1rooLRKZWmF13379lXnsGqcq1evApCQkMBPP/3EpEmTaNOmDfPnz2fixIly5bM29OvXD6DSq79Jxo4dS0FBAV9++SVnzpxh48aNfPDBB4wYMYL//ve/JfZXKpXMnz8fBwcHJk+eTPv27YmIiFC50Xjp0iUuXLjAtGnTRF8kQajlRJAkGDwpSPL09KSgoIDff/8dQONKYo8HSQ0bNqRhw4aVukOurYokSdOmTTE3N5cbJWpTVFQUhYWFjBw5ElCt2pKmCFY0SJKW8zbkICkyMpKMjIwyg6Tij9+6dYu33nqLxo0bc+vWLbZv367rYT7RpLvd6oIkaWqFFPRJ7OzsSE1N1cmUiiNHjhAaGqr14z7pMjMzsbKyYtSoUWRmZlbLxWdqair+/v589913DB8+nOnTp5faBFZqftu4cWN8fHwICQnR2DBWEGo7df3pimvUqBFdunQRQVIZYmJiqFOnDg4ODirbP/roI9asWVPqIiCVMXnyZEaOHFnlRT3atWtH3759+eyzz+jevTuvvvqqXNVevK2EZPv27QQGBrJ48WKsrKzw8PAgJyeHe/fuyfv88ccfAAwfPrxKYxMEwfCJIEkweA8fPsTa2hpPT0/574BKKe7jHg+SAHr06EFgYGCFL0q1XZFkbGxMq1atOHnypNYvkKVG0k8//TRQ1BBREhERgUKhqHRFkiH3Sbpy5QoAXl5eGvfr0KEDn376KREREVopMRfKT6pIysjIKPGYpiCpoKBA6yHm33//zYABA+jcuTMDBgzQSaj7pJKCpGeeeQZTU9NqCevCw8PJyspi27ZtjBkzhm+//Zb169er3VeqSJKCpPT0dLZu3Upubq7OxykIhkhdf7rHDRs2jKCgICIiIlS2h4WF8eKLL/L111/rcog1QmxsLC4uLtVShWNubs727du10tfx8OHDnDhxgk2bNrF//362bt3K2LFjuXjxosp++fn5vP/++3h5eckBloeHB4DK79BDhw7RsWPHEr/PBUGofUSQJBg8KUiSfmEB1KlTh4SEhFKDmH/++QdbW1uVbb179yYqKkolXCkPqdm2No0fP56zZ89qfXqbdEEuNZy+c+eO/Fh4eDju7u4VDsVqSkUSIPefKo1CoeD9999X+V4SqoemqW3R0dGA+iAJKLVXQ2WtXbsWIyMjZs2axZEjR1i9erVWj/+kysvLIz8/HysrK0xMTGjZsqU83UOXpO+fNm3asGnTJlq2bMmWLVvU7itVJLm4uODn54e9vT1jx46lV69eOh+nIBgiaWqbJpMnT8bS0pIVK1aobJ89eza7du3inXfeqfUVnkqlkhEjRjBs2DC1PSOlIKmmMTEx4ZlnnmHs2LE899xz+Pv74+3tTVxcnEp7hJ07d3L79m3++9//YmxsDPwbJJ06dYrg4GDS0tI4ffo0gwYN0st7EQSheokgSTB4aWlpWFtbqyyn3rt3b3Jzc0vtn5KWloaNjY3KNmlOuboVJjR59OiR1pdy9/X1BeDu3btaPa5UkeTm5kbDhg1VQrPw8HDatm1b4WPWhIqk27dvY2dnVyI8FAyHpiApODgYBweHEhczUpCkzT5J0vTY1157jc8//5x+/fpx7NgxrR3/SSb930r/156eniUqGHQhKioKKFp1UaFQMHToUE6dOkVOTk6JfWNiYqhfvz516tTBxcWFmzdvMmTIEM6dOyd/fgrCkyI7O5vk5OQyq0ccHR0ZOnQo+/btk2/gKZVKQkNDGTlyJBYWFqxdu7Y6hqw3gYGB/P777+zdu5fNmzeXeLymBknqdOzYEUClKumLL77Aw8ODYcOGydvq16+Ps7Mzn376KV26dGHPnj3k5+fj5+dX7WMWBKH6iSDJwCiVSsaNG4evr6/aKSBPIqkiqbjBgwcDyEu5l+c5rVu3BmDTpk0VWjFN21PbAPlkQ5pmoS3x8fFYWVlRt25dmjdvLlck5ebmcvPmzUoFSVJFkiEHSZGRkbi5uel7GIIGxXskxcfHo1AoaNOmDa1bt2bDhg107969xJQAaXpqSkqK1sZx8+ZNMjIy6NmzJwB9+/bl0qVLJCUlae01nlSPB0nt27cnMjJSYz87bYiOjsba2lr+zO/Rowc5OTlqe+LFxMSoXOzZ29szd+5cgBKrDwlCbSedg5RnitQzzzxDfHy8fAMsJiaG5ORk+vTpw7Bhw9i2bZtO+tnpm1Kp5OzZsyxduhQbGxvc3NxYs2ZNiX3i4uJqTZAkrQYnBUnh4eEEBwczdepUuRpJ8tRTT8lfv/nmm1hYWMhV8YIg1G4iSDIwBw4cYPPmzQQFBYlliYGcnBxyc3PlC4Tt27fz5ptvyndL1AVJhYWFpKenlwiSFAoFe/bsAZD/LI+srCytVyQ5OzsD2g+S7t+/L99ZdHNzkyuSLl68SH5+Pu3atavwMWvCqm23b98WPY8MXPEeSV988QVQ1Lfrxo0bzJs3r8SJORTd7QS0GvJIS1hLJ8q9e/cG4K+//tLaazyppCBJ+rwcNGgQhYWFcvNVXYmOjla5EJZW6Tx16lSJfWNjY2ncuLHKNm9vb4yNjUWQJDxxpGmh5QmSpHDgzJkzAPJUNm9vb3r27ElycnKtrOpbtWoV3bp14/Dhw0ydOpUxY8Zw+vRplRscycnJ5OTk1JogycHBARcXF8LCwoCiaxOAl156qcS+c+bMwdXVFWNjYzIyMvD19RUr4ArCE0IESQbm0KFD8tdi2et/q2CkMGPkyJF8++23chAjnQQVJ1VyPT61DeD555+nY8eOZS4RXZwuKpLMzMxwdHQstaKqsuLj41WCpOjoaPLy8li2bBkWFhYMGDCgwsc0xIqk3NxcgoKCUCqV5ObmcvfuXVGRZOCKT20LCQnB3t6ekSNHcvr0aT7++GMaNGhQ4jnS6jfarGiRfuaaNGkCgI+PD5aWlpw4cUJrr/GkerwiycfHB4BXXnlFviDRhejoaPn/E8DJyQl3d3e1QVJMTEyJIMnS0pJ27doRFBSkszEKgiGSzqEe/5lQp127dlhZWXH69GkALly4gJGREV5eXvJndW07b01NTWXhwoU0btyYlStXsmjRIoYNG0ZhYaHKDUnppmBtCZKgaHqb9LkdGhpKs2bN1E6B7Nq1K1FRUbz//vsAan+XC4JQO4kgycCcO3eONm3aANpvMFsTSVUw0rQYSZMmTTA3N1e72lJaWhpAiYokSd++fQkKCir3Kj26qEiCoqokXVQkSX1mmjdvTmFhIbt372bnzp3MmzevxEp25WGIzbZnz56Nr68vq1ev5u+//yY/P5+uXbvqe1iCBlK4kJ6eTkhICKNHj2b79u0aS+CLVyT9/PPPrFixospTJxITEzE2Npb7aZmZmfH0008TGBhYpeMKJYMkIyMj3n77bQC2bdums9d9vCIJilaufHxlzJycHBISEtReNHfp0oXg4OBaOTVHEEpTkYokExMTfH195YA2NDSU1q1bY2VlpbOFEfRtxowZJCcns2fPHqZNm4aZmRk+Pj64ubnxzTffyE23pRsU0k3O2sDb25uIiAgePXpEWFiYPBOgNG+88QaNGzdm6tSp1TRCQRD0TQRJBiQ7O5uLFy/KVSO17c5OZTx69AigRJBjYmJC69at1a4I9HgV0+O6desm/1uXdwy6CJJcXFx0PrUN4P3336dOnTpMnz69Usc0MzPD3NzcoCqSLl++DMB3333Ht99+i42NDQMHDtTzqARNrKysUCgUnD9/nvT0dLp06VLmc8zMzKhXrx7x8fFMmDCBmTNnsmTJkiqNIyEhAQcHB4yM/v3117t3by5dulShSkWhpKysLODfIAlgxYoVtGvXTmcrOmVnZ5OYmFjiQrhv374kJyfTokUL/P39uXLlinyxpy5I6tChAykpKRWqEg0ICEChUMhLYQtCTXPixAlatGhR7nOcZ555hosXL5KSksKFCxfo1KkTgBzM16bz1rCwMDZu3MicOXPk9wlFbRI++eQTwsLC+OWXX4DaW5FUUFBAUFAQN27ckKeDl8bFxYXo6Gj69OlTTSMUBEHfRJBkQC5cuEBeXh69evWiTp06te7OTmVkZ2cDYGFhUeKxtm3bVipIklZMK2saw6NHj3jrrbdISUnR+tQ2KD1IysvLky/IKiIrK4uHDx/KFUktW7YEihpRjxo1Su1Uv/KytrY2qIokqQ/D5cuX2b17N9OnT9fJ/5GgPUZGRjg5ObFjxw7g32lPZalfvz579uyRK0WqWtmSmJhYovR+1KhRODg4MHLkSK2Hu0+SxyuSJF27diUkJEQn1T737t0DoGnTpirbx40bx5IlS2jRogWHDh3Cx8dHXrpc3cVe+/btgX9Dak2Sk5Px8fGRVyZas2aN2mnWgmDIEhMTOX78uNq+N6Xp27cvSqWSbdu2ERMTg7e3N/BvkFSbzlu/+OILLC0tmTNnTonH/P396dKlCwsXLiQ7O1sOoMta/a4mkf5vN23ahFKpLLMiSRCEJ48IkgzI2bNngaKgw87Orlbd2aksTUFSmzZtuHv3bonV7aR+KtK0mMc1btwYY2PjMptCHjlyhJUrVwIlK6K042GFkQAAIABJREFUwcnJiaSkJAoLC4GiJuErVqygefPmdO3alfz8/AodLz4+Hvj3RMbZ2RlTU1MAJk2aVKWx1qtXT2NFUlRUFBs3bgRg2rRpNG/eXJ5iqAsxMTFMnz6duXPnsmzZMhYuXKiz1xK0x8nJCSjqX1beFQQdHByIiYnBzMyMCRMmyA3kKysxMRFHR0eVbVLYkJeXx8mTJ6t0/CdZaUFS586dSUpK0knYIq1M2bx5c5XtxsbGzJ07l8OHDxMZGYmPj4/8ef74vgBeXl5AUYNwDw8PtmzZovaiWKlUMmzYMEJCQvD19ZV7ax08eFCbb0sQdG7Xrl0UFBTg7+9f7uf4+vqqTF+SppRLU9tqy3lrVlYW27dvZ8KECfJ7K06hULB06VKio6P5+uuviYuLw9HRETMzMz2MVjeaNWuGtbU1P//8M0CZFUmCIDx5RJCkZzt37mTixInk5OSwfft2PDw8aNSoEba2trXqzk5lSVPb1FWbSL2kHu+TlJCQAJTe8E+hUGBnZ1fmkuLFgxBdVLs4ODhQWFgon3itWrWKmTNnEhsbS3h4OFu2bJH3zcnJ4dVXX2Xt2rVAUcm1dNEmkYIkqSIJiu4kLVq0SF7FqLLKqkgaM2YMr776KlFRUXz33XfcvXtXbsipbZmZmaSnp+Pi4sKSJUuYPXu2HJgJhk06yd64cSMKhaJcz5GauPbt25dmzZqRnp5e7v5m6qgLkqCoIsXc3FztkvFC+Ty+aptECg2vX7+u9deUgkV14ZDEwcGBXbt2YWFhQaNGjWjRokWJfezs7Pj444/p378/SqWSl19+GQ8PD95++2369OmDp6cnvXv3plOnTpw6dYoffviBs2fP0qtXL5o0aSKCJKHG+e2332jZsqUcopaHqakpX375JcbGxjRp0kQ+t5AqnmvLeeupU6fIzc3lueeeK3Wfvn37MmjQIN5//31+/PHHWtUfCYqqiDt27Eh+fj7W1tY0a9ZM30MSBMHAiCBJzz788EPWrVtH//79OXPmDG+88QaACJL+R1NFknR3ZPfu3SrbpSBJ3cWixN7evswgqXjFki4qkqTxJSYmkpGRwcKFC3n22WcpKCigQ4cOzJs3T75g/u2339i4cSOTJk3i7NmzeHt7M23aNLXjLV5aPWrUKBYuXFjui/bSaKpIys/Pl0Oj4hdTVa0cKU1ZQaFguNauXcvixYsZMmRIuZ8jVTENHTpUrjIs62dXk9KCJDMzM7y8vAgODq70sZ90pVUkSf3adPGZcOfOHczNzcucUuLo6Mjdu3f5+++/S/08nDdvHkeOHOHSpUscPnwYJycnvv76a5KSkmjZsiVKpRJnZ2feffddXnvtNaDoxsTgwYM5evRolQJOQahOsbGx/Pnnn7z88ssVPj8YNWoU169f5/Tp0xgbGwNFAVPdunVrzXnrsWPHMDU1pWfPnhr327p1K3379gWK+kfVNtL0to4dO1b5PFIQhNpHBEl6pFQquXXrFgB///03Tk5OvPrqqwBiatv/aKpIcnd3p0+fPipLsELRhaKVlVWJi5niyhMkFe9TpOlYlVU8SAoICCAlJYV58+ZhZGTEp59+SnR0NN7e3uTm5vL111/Lz3vhhRcA+Pnnn1Xeg7qKJG2xsbEhLS2NkJAQXnjhBTw8PJg7dy5Q9L0rKd6suCJNaysiMTER0BwUCobJy8uLBQsWqDS6Lsv8+fOZNGkSY8aMUVnFrTLy8vJITU0tNYT08fEhJCREnm4qVExpQZKLiwtmZmZERkZq/TXv3LlD06ZNy/U95eTkhLu7e5n7mZub4+fnR0hICImJiVy+fJm9e/cSGBjIgQMH+OKLL1SmsPTq1YuMjAxu3LhRpfciCNVl69atKJVKxo4dW6nnu7u7l+g1ZmtrW2vOWwMDA/H19S3z3M/a2prffvuNZcuWsWjRomoaXfVp3bo18G8PLEEQhOJEkKRHCQkJZGdnM3XqVIYPH05gYKD8YS0qkopoqkgC6N+/P1euXOHBgwfytoSEhDKrVcoTJOXk5Mhf6yKcKR4knT9/HhMTE5566imgqE/HkiVLuHr1Kubm5oSGhvL9999jampKfHy8XI0lNS6GoookY2NjeSqQNtna2pKWlsa7777L7t27uXPnDl9++SUJCQnyUsCOjo788ccf8nNEkCRoQ4sWLVi9ejV2dnZykCT1QasoKYAq7XvHx8eHhw8fcvPmzcoN9gmXlZWFmZkZJiYmKtuNjIxwd3fXetDy4MEDjh07JjfK1jYTE5NyfZ5KCxtIN4YEwdBt27YNHx8f+XtXG2rLeWt+fj5hYWFy/6ey1K9fn9mzZ9fKsGXo0KF06dKFzz77TN9DEQTBAIkgSY+kxqMDBw5k165dcvIPRRVJ+vqFnJeXZzArdElBUmk9igYMGACoVsJcu3ZN7fLOxVUkSPLz8yvXUuUV9XiQ1L59ezkwUygUzJ07l+XLl+Ps7MyiRYuYPHmyvMT98uXL8fT0ZPPmzfLx7t+/T4MGDeRSc22ytbWVl/udOnUqf/31F/n5+Zw8eZLo6GgcHR1VSsDbt28vgiRB66SL+soGSWVNe5V+zsX0tsrJzMws9Q5+27ZtCQ8P1+rrHTlyhNTUVN577z2tHreipJ5LIkgSaoLs7GxCQ0Pp37+/Vo9bnkr6yMjIcq2MqE9Xr14lOzubzp0763soete4cWOCgoJUrk8EQRAkIkjSI+mCWF31jHRnpzqnWCQnJzNv3jzc3d2pX7++XGmiT9LUttIqkry9vfH09JRXlYiOjiY4OJjBgwdrPG55gyQHBwcOHz6sk9BCuihOSEggODhYbVj1zjvvEBsby8KFCzE2NuaHH35gx44d9OnTh5dffpm//vpLvniJjY3VWbNHqSLp4cOHdOrUST6piIyMJDo6GldXV7maCorK3nUVJIkeSU+uqlYklRVCenp6Ymlpyfnz5ys3wP/Zs2cPnp6e8nTTJ4WmIKl9+/ZERkZqdTXHc+fOUbduXXx8fLR2zMqwtbXFwcFBVLIJNUJYWBj5+flav0FWVkWSUqmkf//+eHl5yb/HDVFoaCjwb38gQRAEQT0RJOmRdDFkb29f4jFbW1sKCwtLLG2vC4mJiRw9epTp06fz6aefUr9+fUxMTFi+fLnOX7ssZU1tUygUTJ48mdOnT3PgwAF5CfoXX3xR43Ht7e1JS0sjPz+/1H1ycnIwNzev5MjLZm5uTr169Th37hypqanluhhydnZmxIgRKBQKxo0bB8Dvv/8OwI0bN7Rapl6ctCILFJ1c2draUr9+fZUgaeTIkSrjvHPnDlu3blXpNaUNiYmJWFhY6KRvlWDYdB0kmZiY4O3tXeUgacaMGVy7do2BAwdy/PhxlEpllY5XU2RmZpa6MEGPHj1QKpVaXc0xKCgIHx8fnVRhVlSLFi1ERZJQI0g/g76+vlo9bllB0rVr17hz5w4AFy9e1Opra1NoaChWVla0atVK30MRBEEwaCJI0iPpYki6OCrOzs4OoFoaFz733HP079+fLVu2MG/ePC5cuMDgwYO1Pg2hMsqqSAJ44403aN26NUOGDGH+/Pn4+fmVeQIghXeaTnp0HSSBal+hit4dbNasGe3atSMgIIBHjx5x9+5dnZUfF5/7Ly3l7e7urhIkNW/enCVLlnDixAm6du1KZmYmY8aMYfXq1Vodi7TqllhB5MljaWmJhYVFlae2aapm8/X1JSQkhIKCgkq9RnJyMvfu3cPFxYWoqCj69euHj4+PQXye6pqmiqSnnnoKExMT/vrrL628Vl5eHpcuXTKY6SciSBJqiuPHj9OqVSutVzCXNbUtJiZG/lpd9d7Zs2cNoqovNDQUb29vgwioBUEQDJkIkvQoOTkZhUKhtkGfVAGizWkAktjYWFq1asWOHTuIioqS775PnjyZ999/HyiqKCnewFpfsrOzMTU11fgL3cLCgsDAQHr16oWRkZG8mpgmUpCkaXpbdQVJSqUSCwsLOaCpiGeffZaTJ09y9epVlEolHh4eOhilapAkhXqurq5cu3aNtLQ0uSfV3LlzeeaZZxg0aJC8//79+7U6lri4uDKX+hZqLwcHh0qv2paYmIixsbEc1KvTunVrcnJyiI2NrdRrSHfaf/75Z+Li4lizZg03b95k2bJllTqeoUtMTGT58uWcPHlSY5BkaWlJly5d2Lt3r8ZK0PI6deoUOTk5dOvWrcrH0oYWLVoQHR0tV9EKgiHKy8sjMDBQXrJem2xtbXn48GGpLRmKT3d/PHTduHEj3bp1Y9CgQXqt4IyPjyckJETv02UFQRBqAhEk6VFycjJ2dnZqQxJra2tAN0HSb7/9xs2bN5kyZQrHjx8HiubM//jjj/JFgL29PampqZW+K68t2dnZpTbaLs7JyYk///yT+Ph4+vTpU+b+UpCk6e5Zdna2zoMkqTKiY8eOmJqaVvj5vXr1Ijs7my+//BIoWl5dF6QgqfgqJi4uLvIdRldXV5X9GzRoQEREBK+++iqBgYFabRx/7949mjZtqrXjCTWLg4ODSkVSamoqQUFB5XpuQkICjo6OGpeKl5aHv337dqXGJ02fa9SoERYWFkycOJFevXoRFhZWqeMZunnz5vHuu+8yadIkjUESFPV8u3r1KgsWLCjXsfPz89myZQvHjh0jLy8PKPqdeOvWLb766ivMzc3lBRf0zdXVFaVS+cT1xRJqlpCQEDIyMnQSJNnZ2aFUKks9b5WCJHd3d5XKo6tXr/J///d/QFHfxcqG+JV15MgRevfuzZQpUxg3bhwFBQW8+eab1ToGQRCEmkgESXqUmppa6p1xXVYkSRUiKSkpLFq0CDs7uxLLJ5dn6ld1ePTokcZpbcUZGRmVuym29O9eVkVSeV+7spo1awZQ6ekZPXr0AGDLli106dKFNm3aaGtoKrp27cpLL73Ejz/+KG8rXhbv5uZW4jkeHh5MmTKF/Px8jhw5ovH4586dY+DAgRp7gimVSj766CNu3LghgqQn2OMVSZMmTcLX17dcYZIUJGkifS9HRkZWanzS2IovG+/m5sa9e/cqdTxDlpeXx86dO4Gi/ic3btzQGCSNHDmSSZMmsXTpUt577z2Ni0kkJibSs2dPXn75ZZ599lmcnJxwcXHB1taWli1bsmfPHvz8/Khbt67W31dlFF+FUxAM1dGjRwHKdcOtoqQbTqWdN96/fx9ra2s6dOggVyStX7+etm3bUq9ePX799VcALl26pPWxlWbPnj288MILXL16lZ9//pnjx4+zaNEieSVGQRAEoXQm+h7Akyw1NVXttDbQXZBUWFhIUFAQEyZMYP369dy9e5dRo0aVuENfvKmtuh5O1SU7O1snYY6hTG2TVgXp0KFDpZ7v6Ogor0D3xhtvaHNoKqytrdm2bZvKtuJBUmlNvn18fLCwsODcuXOMGjWq1OPPnDmT06dPs3//fkaPHq12n7/++ouFCxcCpTdLFmo/BwcHOZRRKpXs27cPgB07dqhUzKmTmJhY5mp/rq6umJiYVLoiSd0iCq6urjx8+JC0tDSVxvU13enTp0lJSWH+/Pl8/PHHpKamagySFAoFq1atwtTUlC+++IJHjx7x7bffltgvLy+PF198kYsXL7Ju3Trs7e3Zs2cPhYWFtG3bloYNG5Kbm6uTi+HKkj6TKjvtUhB0KS0tjYyMDBYsWEDXrl1Vgm5tKStIiouLw9nZmRYtWrB//34KCgr48MMPsbW15dixY7i4uABFQVJZK+9qw9WrV3nxxRfp1KkT+/bto169eqSlpels9VtBEITaRgRJeqTpokLa/vDhQ62+ZmRkJJmZmfTo0YPU1FSOHj0q90UqrjxBS3XIysoqdRWgqihvkKTri75XXnkFZ2fnKpWZL126lO3bt5cawOhK8ZOt0sJGU1NTvL29CQoKoqCggIMHD+Ln54eZmZnKftJKLmFhYaW+j7179wJFK2v17t1bC+9AqIkcHBzkqo979+6Rk5MDFFW1lSUhIaHM3hcmJiY0bdq00kFSUlISNjY2KlNVpamf0dHRtSpICgwMRKFQMGPGDFasWFHm1DYAY2Njvv32W/Lz81m1ahULFizAyclJfvzGjRt8+umnnDx5kl9//ZUxY8YAMHz4cJ2+l6qSLsxFRZJgaK5cuUKHDh3kCsAPP/xQJ69T1iIx9+/fl4Ok3NxcLl26RHR0NMuWLZOrqZs2bVptK7r98ssvKBQK9u/fL38GidVgBUEQyk9MbdMjfVQkhYSEAEUVMNu2bSMuLo6OHTuW2K+2B0nSv7u+K5KMjY0ZMGBApfojSSZNmsSRI0d08u+kiVRNVdaFeZcuXQgNDWXp0qUMHTqU1atXqzTTfPToEffv3wfgwoULao+hVCrZs2cPgwYNIi8vr8zKE6H2cnBwIDU1lby8PEJDQ4GiqZchISEamzgrlUpiYmLku96auLm5VXpqm7oqziZNmgBFQVJNl56ezueff86dO3cIDAykQ4cOODg4yKtOludzSAqfCgsL2bJli7z9zz//xMPDgw0bNjB16lQ5RKoJxNQ2wVAFBARQWFiIiYkJH3/8scpiGNpUnoqkRo0ayRXMO3bsAP49l4CiPo/VMbVNqVSydetW+vfvrxJkC4IgCOUngiQ90lSRZGFhgampqdaDpGPHjmFjY4OXlxfGxsal3n0xpCBJF3eITExMsLGx0XuQVJPZ29sTHh4u91woTdeuXcnKymLx4sUATJ8+HXNzc9zd3fnnn3/kaUrGxsZcuXJF7TGuXr1KZGQkzz//vHbfhFDjSBfsKSkphIWFYWRkxIwZM8jMzGTQoEElAiClUsnq1auZMWMG2dnZ5eqv5ebmVqWpbY8HSVJFUlRUVKWOaUg+//xzZs+ejZubG8ePH5enlz311FNAUUhUHm3atKFr165ysFxYWMjcuXNp1KgRYWFhfPfddzp7D7pgbW2NiYmJmNomGJzg4GBcXV3Jy8tj3rx5OnsdTRVJSqVSpSIJYPv27QAqNzM7dOjA9evXdb764ZkzZ7h7926NCqsFQRAMjQiS9EhTRZJCocDGxkarQZJSqSQgIIA+ffpgYqJ5VmO9evWAorvP+pSZmamzShupt1BpRJBUtjZt2pQ5VUeqVMjNzaVx48ZA0V3H27dvc+zYMe7evQvAc889R1xcnNq7mWvWrMHExIRhw4Zp9w0INY40hSgpKYkLFy7g4eHB6NGjWbZsGWfPnuXpp58mISFB3n/lypVMmTKFlStX4uXlVa4pUu7u7iQnJ1fq8zcpKalE/5FGjRphZGRUKyqSgoODVf4+e/Zs4N/G/5qqwh43ZcoUIiIieO211xg8eDBBQUEsWbKEDh06lDuQMhQKhQJ7e3uNK4Gmpqbi5+fHpk2bqnFkwpMuOjpa7YIY2qapIumff/4hJyeHRo0a4ezsjIWFBTdv3qRhw4YqPQ+9vLwoKCjg6tWrOhunUqnk+++/p169erzwwgs6ex1BEITaTgRJepKfn09GRobGi3BtB0k3b97k3r179O/fv8x9ra2tAe33aKooXU1tg6Igqfgy4o8TQZJ2FF/9ZOfOnVy6dIkzZ85Qt25dAgMD5f5IUnPNiIgIlednZ2ezfv16Ro8eTaNGjapv4IJBKt6LJigoiM6dO2NkZMTs2bM5efIkqampzJ07F6VSyYkTJ3jvvfcYOnQoeXl5XLx4Ua4O0kS66KpMVZK6iiQTExNcXFxqRZB07do1xowZw8cff8yZM2do2LAhAAMHDmTx4sW8/fbb5T6Wv78/bdq0YcOGDYSGhjJx4kT+85//6GroOlfWzYnt27cTEBDAK6+8ovebNMKTIyYmRr6Jo0t169bFyMhIbZAUFxcHFPVWNDIyks8LvLy8VPaT/q6rPkmXL1/GxcWFzZs3M3HiRPmmqSAIglBxIkjSEymgKa0iCSoWJF27do0VK1ao9J55nLQE+4ABA8o8Xp06dTAyMtL7ya4ug6THlxF/nAiStMPIyEi+sO7cuTPt27fH1NQULy8vLl++zJ07dzAzM6Nfv34AJe5EBgQEkJ6ezrhx46p97ILhkYKks2fPkpCQQM+ePeXHOnTowOTJk/nll18YMGAAffr0wdbWlrVr15ZZhVlcVYKkhIQEtSvDubq61vggqbCwkJiYGJo2bcq8efPk6WxQNDV1wYIFNGvWrNzHs7Ky4sqVK6Snp5OQkMCaNWtqXCVScWUFSUFBQUBRRcSiRYuqa1jCE6ywsJDY2NhqCZKMjIywtbVVW5Un9UGUFumQ+sa1b99eZb8WLVrQqFEjPvroI5YsWVLpXnXqZGdnM3jwYHJzc1m+fDmffvqp1o4tCILwJBJBkp5Id2w0VSRZW1uXO0iaNm0aM2fOJDw8vNR9jhw5gpubG+7u7mUeT6FQUK9ePYMIknS1ioajo2OZQZKFhYVOXvtJc/bsWc6dO4exsbG8rV27dly+fJm7d+/StGlT3NzcqFOnDlevXkWpVHLgwAH27dvH9u3bsbW1NailvgX9kYKkgIAAoCicLG7WrFkUFhYSEBDAmDFjOHPmjNpgRxMpSNJ0EZOQkEBYWJjKtszMTLKyskoNkmp6j6SEhATy8vK0elGqUCioW7eu1o6nT2UFScnJybRt25Y+ffrw559/VuPIhCdVUlKSyrRyXbO1tdVYkSRVFUsB0uMV8sbGxuzatYv8/Hw++OADevToUel+dY/buXMnMTExbN68mXfeeUec3wmCIFSRCJL0RAqINFUklfYLWZ3Tp08DcP78ebWP5+bm8ueff5arGklSr149vU9t02WPJFGRVH1atGhRYqW19u3bk5KSwunTp2nevDlGRkZ4enoSHh7OrFmzGDJkCM8//zy//PILQ4YMwczMTE+jFwyJVN12/PhxTExMaNu2rcrjTZo04eDBg3z++eds3LixUr1BbGxsqF+/vsYLmOHDh+Pt7S03iwfk3kzqVgFq1qwZUVFRFeohZGhiYmIAyjU98ElUVpD0zz//YG9vT/fu3bl48SKZmZnVODrhSST9zFZnkKSpIkkKkj766COOHz+u9pzU19eXqKgorly5Qm5uLj179mTPnj1VHtvq1atxd3cvV3sHQRAEoWwiSNKT8lQkNWrUiNjY2BLbt23bJq92AZCXlyevcCEtmxoZGcnvv//Oyy+/TExMDGfPniUjIwM/P79yj9Ha2lqvFUlKpVLnU9vS09PVrg6iVCrJzc0VQZIOtWvXDoDY2FiaN28OFE1NOnz4MMuXL+eNN95g8+bNvPHGG/z3v//V51AFA2Jubi73tWjXrp3an1E/Pz9mzZpVoelsj3N3d9cYJJ05cwaAQ4cOydsePHgAoLYiycPDg7y8PLknWE0kTc2rrovSmqY8QZKdnR3du3enoKCg1Bs/wpNl9+7dfPLJJzo5dnUHSfb29iQmJpbYHhcXh42NjVxhbmpqWmaVcdu2bTl48CCWlpaMHj1aDuo1tXBQR6lU8vzzz/PXX38xefJkjIzEpY8gCII2iE9TPSlPRZKHhwf//POPvKqV9Dx/f39GjRrFo0ePALhz5478i1U60W/ZsiUjRoxgy5YtuLq68swzzwDw9NNPl3uM+p7alpeXR0FBgc6mtklT/B5v7gxFFVyACJJ0SAqSALmvyvTp02nVqhULFizgu+++4+WXX2bVqlUqDbsFwdvbG4BOnTrp7DXc3NxKndpWfFW4c+fOldiuLkiSmsh+/PHH5a40NTSiIkkze3t70tPTycvLU/t4SkoKdnZ2cm8pqZJY3X66Xv5cMBwvvPAC8+fP10nILN2MrK4gqVOnTly4cKHEuWNcXFylFsvo2rUru3btIjs7m+3bt/PXX3/h5OTEiRMnyn2Mb775hn379tGrVy/eeuutCo9BEARBUE8ESXoiXUhoCpIGDRoEwP79+4GiBt3vvfee/LjUlPjmzZsAWFpaEhsby71799TesWndurXKMqtl0ffUNqnsX1cVSdKy9OruCufk5AAiSNKl4kuke3h4AEUBwfXr11m8eLG4ayiUaubMmTg4OPDqq6/q7DXc3Ny4d++e2qloV65cAYo+H86ePStv1xQkeXt7M23aNH755RdGjBiho1HrVnR0NObm5io/u8K/7O3tAdRO7ZG229vbY29vj4eHh1zVBkW/38+cOcPbb7+Nk5MTbm5ucnAn1F7S+RvAunXrtH78mJgYTExMKtwnrrIGDBhAfn5+iR5g0dHRcqPtimrXrh2enp7s2LGDZcuWkZiYWGoFl1KpZPPmzezatUvetnbtWrp3786JEydEXyRBEAQtEldqeiJVJGma2tayZUuaN2/OsWPHUCqVPP3006xZs0Z+/PLly8C/Kwv17NmT2NhYTp06BcCaNWvIzMxk27ZtXL16tUJ3cED/U9uysrIA3QVJbm5uWFpacu3atRKPSUGS6MujW9L/rWikLVTEsGHDSEhIoFevXjp7DXd3dwoKCtSutCYtavD6668TEREhf05qCpIUCgUrV67kiy++4Pjx4yqVTOWRl5en95510dHRNG7cuEavrKZLUpCkrvdeXl4eGRkZ2NnZAdCtWzfOnDmDUqlk3759NGvWjO7du/P111/Tu3dv7t+/z969e6t1/EL1kwKP9u3bs379erkauiz5+fmsW7eOTZs2sWfPHgYPHkzXrl3ZuXOnyn5RUVE4OztX242Zp59+GktLS3mVYGmsly5dokOHDpU+7siRIzlx4gR//PEHABcuXFC73/Llyxk3bhwvvvgiQ4YM4dlnn+XKlSv4+/uLzy1BEAQtE0GSnkh3LK2trTXu17NnT06dOkVMTAxXrlzhpZde4tKlS1hYWMhBUnx8PMbGxnTs2JH79+/LwdLYsWOxtLTkpZdewtPTk4YNG1ZojPqe2iYFSbqa2qZQKHBwcFDb00JMbasev//+O1999ZXGQFUQ1NH1RYGmlduuXLmCvb29XDV68eJFoChIsra21njXe9KkSZiamqrcMS9LSEgIrVq1omXLlvLnoj4oyGPyAAAgAElEQVTExMSI/kgaSP826iqJpN/5UpDUo0cPkpOT8ff3Z+TIkbi5ubF161auX7/OkSNHcHZ25uTJkyrH+PLLL3nxxRf1vpqqoD2nT5+mdevWfPbZZ9y/f5/hw4eXqxJt9uzZTJw4kf/85z8MHz6c4OBgQkNDGT16tEpF3PXr12nVqpUu34IKc3Nz+vTpw6ZNm3j33XeZOHEiO3fuJDs7Gx8fn0oft3gV59SpU0lOTiYpKYlvv/2Wtm3b8swzz/DUU0+xcOFCPDw86Nu3LzExMWRlZTF06FBefvllbbw9QRAEoRgRJOlJXFwcDRo0KLMZbPfu3UlMTOT3338HYMaMGbRv3542bdrIQdKDBw9o0KABTZo0IT8/nwsXLmBvb0+dOnWqNEZ9T23TdUUSFN1BTk5OLrFdBEnVY8CAAcyYMUPfwxCEEqQgSQrmjxw5QteuXYmPj+fKlSu0a9dO7tUUFhYG/PtZrEm9evVo0aIF169fL9c4lEolo0eP5u7duyQkJLB79+7KvqUqi46OFv2RNJB6vRXvayiRLu6lqqWxY8cydOhQtm/fTuvWrQkICMDf359WrVqhUCjo3r27ytS3pKQkZs2axa5du/jyyy91/l6E6hEWFoa3tzcDBw7k+++/588//2TQoEEUFBSU+pyYmBi+/fZbxo8fT0hICGvXriU8PJyAgADy8/Pl6fpKpZKIiAg8PT2r6+0AMG7cONLS0li+fDlbt25l9OjRwL/tBCpD6jFnaWnJ0KFDAbh27Rp//PEHV69eJSkpiXPnzpGVlcWsWbM4duwYYWFhnD59mr1794rpuIIgCDoggqRqcu3aNTn4gaIGiC4uLmU+T2qOvWrVKqCo/Fn6s3hFUsOGDeXjnTt3rlzHLotUkVTRFTK0Rdc9kqDopF5d41spSBJT2wThyeTi4oK5ubncw+Trr7/m/PnzrFy5kvDwcNq2bYuzszNOTk5yP5CEhIRy9SJp1aoVN27cKNc4IiMjuXXrFitXrsTR0ZGDBw9W/k1VQX5+PrGxsaIiSQNnZ2dMTEw0BklSRZK5uTl79uzh/PnznDx5Ut4u6datG3fv3uX+/fuEhYUxadIk+TXWrFlDz5495W1CzfTgwQPu3bsnB9JTp05lw4YNXLlyhY0bN5bY/+eff6Z169ZMnTqVvLw8FixYQKdOnXj99ddxdHSkY8eOwL/TvmJiYsjIyKBNmzbV96aAUaNGsXbtWi5dusTNmzfp378/rVq1khc4qQyFQsG9e/eIjIyUeypeu3aNC//f3p2HR1Xe/R9/31kMS/YQEkLCImDCJhhBQEQWDeCK2lZFq2BxX6rVx0d9/LlWvVppxdrqo3UpFNyhFh+KIAqi7GVRDFtYApGQhJAQSAIh2/n9MXOmCUnIkMxCks/ruriYnDlzzj3KSU4+872/96ZN3HrrrWzZsoWcnByWL1/Obbfd5qm3IiIip6AgyYOWLl1ab0+DLVu20Ldv31qfxmRnZ7vVeLBfv35ERESwY8cOevbs6ZoKN3DgQHJzczl06FCdIMndkKox4eHhVFVV+W31GG9PbQNHs/P6giT1SBJp2wIDA+nTpw/bt2+nurqa9evXA/DSSy9x5MgRhg4dijGGqVOn8s9//pPf/va3LF261K1mrsnJyezateuUVQc2u9fIxIkTSUtLY8mSJVRXVzfvzTXB1q1bqaysrLXaotQWGBhIUlIS+/btq/OcPYW6ZmBkjGHIkCH1TnEfMWIE4AgXUlNT+ec//8kDDzzAiy++yIEDB1ixYgXvvPOOa9ENaXnsfkYTJkxwbfvFL37BBRdcwFNPPVVnGuucOXPIyMhgwYIFDBs2zFU1aYuKiqJHjx5s3LgR+M+CLL4OkgICApg2bRoDBw6kS5cufPnll2zbtq3ZfZq6detGfHw83bt3p127dnz33Xfk5ua6qpXi4+O5+OKLtVCHiIiP6LutB7366qs888wzdbZPnz4dcIQTn3zyCeXl5Rw4cMCtsCcgIIDzzz8fgLS0NNd2+wfn5s2bycvLIy4urtYnxZ6qSAL8Nr3NF1PbIiIiVJEkIvU699xzWbBgAYGBgRw8eJDrr7/e9ZxdLfr444+TmJjI008/DTh63zQmOTmZ8vLyeitXTrZ48WJ69uxJr169uPTSS8nLy3N7WpynrF+/nltuuQXA9fNI6ldYWMgHH3zgWnbddvLUtsakpqYCMH/+fEaPHs327dv505/+xM9+9jMmTJjACy+8QEBAAJ988oln34D4xPHjx3n++edJTU113c+BI1ycPn062dnZzJw507W9oqKC1atXM3HiREaNGsWbb75Z73FTU1NdFUl2kOTrqW318WS4ExAQQHJysmuab83/fiIi4jsKkjwoNDS03iaY27ZtIzY2FoAbbriBESNGkJ+fT/fu3d067r333ktcXBx33XWXa9vJQVJ8fDxxcXGunkue6GNhB0n+auzpiyCpoYokBUkicuGFF7oed+jQgZkzZ3LZZZcxdOhQ+vTpAzi+h6Snp7Nz505ycnJ48sknGz2u3fy2seltFRUVLFu2jPHjx2OMcU1t3rZtW1PfUpP88pe/ZPPmzQQGBvq0cW9LZPdv+fbbb2ttP3lqW2NCQkJczdztKU3GGMLCwli0aBFPPvkkAwYMqNVHSVqG4uJizj77bPLy8rjnnnvqLBwwatQoBgwYwMcff+zatmHDBo4dO8btt9/Ot99+65rGdrLzzjuPnTt3cvToUbZu3UqnTp1c95+tSUpKiutDTvv7ooiI+JaCJA9qaJWzvXv3MmnSJN555x3GjRvnKjseN26cW8f92c9+Rk5OjusTSoC4uDhiY2NZvnw5FRUVxMfHY4xxNdj2RJBkl9v7K0jyRY+kyMhISkpKqKysrLVdzbZF5KqrrqJbt25cffXVbNy4kfbt27Nw4ULWrl1b65c/u4F2fHy8W+FzcnIyQKOVRevWraO4uJhLL7201uvc7a/kKXl5eQQEBLBgwQJNG2nEe++9R0hIiGsqpM2e2hYZGen2sT788EPS09Mb/NBp5MiRrF692q0pknLm+OKLL8jNzeWpp55i6tSpdZ43xnDZZZexevVqSkpKAFi+fDngCJlOxe639MMPP7B582b69+/v2cGfIewqq9jYWOLi4vw8GhGRtkl3hB4UFhbm+qFvO378OAcPHqRHjx5MmzaNr776il//+tfceeedDBs2zO1j17fU9bnnnuvqnxEfHw/8Z/lhT8yJP1Omtnm7RxLAkSNHam1XjyQR6datG3v37mX+/PmuEAfq/358Ojp16kRUVFSjQdK8efMwxrg+dAgLCyMuLs7VAPzjjz/m5z//uSuk8IbCwkKKioqYPn06EydO9Np5Wovg4GAGDRrEhg0bam0vKCggPDyc4OBgt48VERFxyiBg5MiRFBcXk56e3uTxiu998cUXREVF8cwzzzS4cm9aWhoVFRWuAOnbb78lJSWl0Wb+9geOq1evZtOmTQwfPtyzgz9D2A23Bw4c2OzvxyIi0jQKkjwoNDSUY8eO1fp00G66aS8LbIzhT3/6E2+99Vazf/ide+65rrDFDpLmzJnDgw8+2KxlVm1tZWobUGd6m6a2iQg0PzRq6JiNrdz28ssvM2PGDCZPnlyrr06fPn1cQdKMGTOYN28eMTExzJ8/3+PjBMeqcUCzVlxqa+w+NTVXPC0sLHS7P5K77H5cK1as8OhxxXssy2LRokWMHz+ewMDABve76KKLCAkJYcmSJVRVVbFixQpGjx7d6PG7dOlCXFwcTz31FBUVFa5ebq2NHSSpP5KIiP8oSPIgO3ipWZVkN1O1gyRPqvkD1K5ASk1N5dVXXz3lDYq7/B0klZaWYoxxaxWkplKQJCL+kJyczJYtW+pdgW327Nk89thj3HjjjbUa7kLtIKnm6mDXXHNNnVWePMEOkk5eIUoaNmDAAI4ePVqr4XZhYSExMTEePU+3bt3o2rUrK1eu9OhxxXu2b99Obm4u48ePP+V+7du3Z9SoUSxZsoQffviBo0ePcvHFF7t1jrS0NMrLywkNDXVNi21tUlJSGDduHNdcc42/hyIi0mYpSPIgXwdJQ4YMcT32RjNFu0eSP6e2dejQwatlywqSRMQfrrzySvLy8vjLX/5S57lZs2aRkpLCnDlz6kyFOuecc8jNzSUrK4vc3Fx+97vfMXnyZACvrOClIOn02dPR7FWzwDG1zdMVScYYRo0axdKlS9UnqYWwe2RecMEFje47fvx4tm7dyvvvvw/gVkUSwDvvvMP777/P0qVLXX0zW5uQkBC+/vprt/+biIiI5ylI8qD6Knj27dtHcHAwXbp08fj5BgwYwJdffum6MfE0f1ck2UGSNzUUJNk9ktRsW0S84ec//zkXX3wxr732Wq0pUJZlsXHjRkaNGlVvZam9atr//d//AY5q1Pfff58+ffrw17/+tdaxPGHPnj3Ex8d7tVdda2MHSVu2bHFt88bUNnAsxpGXl8fChQsb3Ofll1/mzjvvZPny5X77YEgcNm3aREhISK2eaw254oorAHjllVcYNGgQXbt2descISEh3HTTTR5pcSAiItIQBUkeFBoaCtQOXjIzM0lKSvLaSjdpaWmuVTo8rb7340v+DJJUkSQi3mSMYfLkyezevZtdu3a5tmdlZXH48OFaq3TWZAdJdk+kvn37YozhrrvuYvXq1UyfPt2j49y9e7f6I52m2NhY4uPjWbdunWubN6a2AUyaNImePXvy3HPP1Rsirlmzhscee4y3336bMWPGkJCQwJtvvunxcUht5eXlLFiwgLKyslrbv//+ewYOHOhW0/V+/fpxzz33APA///M/XhmniIhIUylI8qCaFTznnHMOAwcOZO/evfTs2dPPI2uagIAAwsLC6oQsvlJaWur1T8EVJImIv9jNklevXu3aZleYNhQk9erVC2MMS5YsISQkxPXz5eGHH+b666/niSee4Ouvv27ymKqqqli+fLlrqtTu3bs1ra0JrrrqKhYsWEBpaSnV1dUcPnzYKxVJwcHBPP3002zYsIHFixfXef6bb74BHAHlvHnzGDJkCA888IBryqJ4x9/+9jeuuuoqHnzwQdc2y7LYtGnTaX349/rrr7N7926uv/56bwxTRESkyRQkeZAdJG3cuJGdO3eSnp7O2rVrW2yQBI4VQA4cOOCXc/uiIik0NJSAgADWrFnD/fffT0FBAaAgSUS8r1+/foSHh9cJkgIDAxk4cGC9r2nfvj3dunUDHNOb7elvxhjeffddUlJSmDx5cp1KCHfNnj2bMWPGcOedd1JWVkZ2drYqkppg2rRplJSU8NJLL1FYWEh1dbVXKpIAJk+eTMeOHfn888/rPLdt2zYSEhJISkriuuuu44MPPiAwMJDf//73XhmLOCxatAhw9Ds7dOgQ4OiZWVhY2GBIXB9jjIJcERE5IylI8iB7Kti8efNqbfdGo21f6d69e62VgXzJF0FSQEAAERERzJ07l9dff50XXngBUI8kEfG+gIAAhg8fzqpVq1zbNm7cSL9+/U7ZJDcuLg6ACy+8sNb20NBQXn75ZfLz8/nuu++aNKZNmzYBjkBp7ty5WJalIKkJhg0bxs0338xLL73kWgzDXrLc00JCQhg9ejTffvttnee2b99O3759XV8nJCQwbdo0Zs6cyf79+70yHnG0NejevTsnTpzg7bffBhzTDAGGDx/uz6GJiIh4hIIkD7IrktasWUO3bt1cZezDhg3z57CapWfPnuzZs8cv5/ZFkATU+pR4zpw5VFVVuSqS3OljICLSVCNGjCA9Pd3Vi27jxo2NVizcddddhISEMG3atDrPjR07lpCQEL744osmjWfHjh0kJSURGxvLLbfcAkCfPn2adKy27ne/+x39+vVzVZDVXGnV0wYOHEhGRgaVlZW1tmdlZdX5MOuhhx6ioqLC1WdLPO/AgQNMmDCBK664ghdffJHs7GxWr15Nx44dGTBggL+HJyIi0mwKkjzIDpLAceP997//nauvvppx48b5cVTNc/bZZ1NQUEBJSYnPz+2LHkkASUlJgGMa26FDh/jxxx8pLy8nKCjIa03SRUTAESRVV1ezbt06Dhw4QG5ubqNB0q9+9StKS0sZNGhQnec6dOjA6NGjmxwkbd++nVGjRvH444+7tukX36ZJTExky5Yt7Nu3j6qqKjp16uS1c/Xr14+KiopavY+qq6vJz88nPj6+1r69e/cmPj7eVSEjnnXixAny8/Pp2rUrf/7zn6msrOSGG27gs88+Y+jQoQQFBfl7iCIiIs2m35I9KDQ01FVB06NHD6644grmz5/fosMI+8a3sLDQ5+f2VUWS/f/ngQceAGDt2rWcOHFC/ZFExOvsitVVq1bx1VdfAe5NfbF7I9UnLS2N7du3k5eXd1pjOXbsGPv27SMlJYXbb7+dO++8k9mzZ/sk0G/tvH0f0K9fPwC2bt3q2lZQUEBVVZVrKqTNGMPw4cMVJHlJTk4OAF27dqVnz568++67rFy5kv379zNlyhQ/j05ERMQzWm7CcQYyxriCl+7du/t5NJ5hT/uym1D7imVZHDlyxCdBUpcuXQC48sorCQgIYP/+/ZSXlytIEhGvi4yMpH///qxcuZI5c+bQs2dPhg4d2qxj2o26d+zYcVqv27lzJwDJycm0b9+et956i1/+8pfNGov4ht1/qWaQZAeJJwdJ4Agrd+3a5ZcPiVq77OxswBEkAdx8880sXbqUN998U0GSiIi0Gqqv9TDLsoCW3WC7JrvPk69vNrdt20ZhYSHnn3++18/15JNP0qVLFy666CLi4uLIyckhKChIjbZFxCcuueQSXnvtNQCef/55jDHNOl5ycjLgCJIuvvhit1+XlZUF0KJXGm2rQkND6d69e60gKTc3F6DO1Db4z7+RzMxM18958YyTgyRw9C4bO3asv4YkIiLicapI8rDjx48DtJrlWv0VJK1YsQLAJ/2lUlJSePnllwkKCiIhIYEDBw6oIklEfGbSpEmux3fffXezj5eUlERISMhpVyTZq3jV/AVYWo5+/fq5XZFkV037a1XW1swOkhISEvw8EhEREe9RkORhV199NQD9+/f380g8w19B0qZNm4iIiPB5IGcHSeqRJCK+MmrUKGJjY7nrrrtcS8U3R2BgIH369GlSkBQYGFhv8CBnvuTkZDIyMlyV0QqS/CM7O5uQkBBVeomISKumIMnD/vznP5ORkUFkZKS/h+IR4eHhABw9etSn5/3+++8ZPHhws6d4nK4uXbooSBIRnwoODubAgQP87//+r8eOmZycfNpBUnZ2NgkJCads5C1nrqSkJI4dO8aRI0cAR5B01llnERERUWffqKgoOnTo4KpCE8/JysoiKSnJ5/cvIiIivqQgycM6dOhAnz59/D0Mj+nQoQPGGEpKSnx2zry8PNatW8dFF13ks3PaEhISyM/P91mjbxERgKCgII/+4pmSksKePXsoLy93+zWZmZl069bNY2MQ30pMTAT+M0UxNzeXuLi4ev9dGWOIioqiqKjIp2NsCzIzM1tNewMREZGGKEiSUwoICKBjx44UFxf77JzLli2jurqaa6+91mfntNk9DTIzM7XktYi0WCkpKVRVVbF79263X7Nz507OOeccL45KvMnubWUHSTk5Oa5VSesTFRXF4cOHfTK2tiQzM1MN60VEpNVTkCSNCgsL82mQtGfPHgD69u3rs3Pa7CBp9+7dqkgSkRar5spt7iguLiYnJ6dVVdS2NSdXJOXk5Jyy4XNkZKQqkjzs6NGjFBQUqCJJRERaPQVJ0qjQ0FCfTm3LysqiU6dOfglyat50K0gSkZbKDpK2b9/u1v67du0CUEVSC2ZXH9mrhh04cKDRiiQFSZ6VmZkJoIokERFp9RQkSaP8UZFkryjjazVvuhUkiUhLFR4eTpcuXdwOkjIyMgBUkdSCnXXWWXTu3Jns7GxOnDhBYWHhKYOkyMhITW3zMDtIUkWSiIi0dgqSpFFhYWE+q0h68cUXWbJkCQMGDPDJ+U4WGxvrWrFIQZKItGQpKSluT23buXMnAL179/bmkMTLEhMT2b9/Pzk5OQCNBkmqSPIsO7jVdSQiIq2dgiRpVGhoqE8qksrKyvh//+//AXD11Vd7/Xz1CQwMJC4uDqDeJZNFRFqKlJQUtm/fjmVZje6bkZFBYmKiAvQWrmvXrmRnZ5OVlQVwylX4oqKiOHLkCNXV1b4aXqu3ZcsWkpKSdP8gIiKtnoIkaVR4eDhHjx71+nnWrFkDwF/+8heuu+46r5+vIZGRkQDExMT4bQwiIs2VnJxMUVER+fn5je6rFdtaBztI2rdvHwA9evRocN/IyEgsy/LJz/e2orCwkNjYWH8PQ0RExOsUJEmjIiIifHKjefDgQQDGjBnj9XOdSkhICACdOnXy6zhERJojJSUFcK/hdkZGhvojtQJdu3aloKDA9f+8sYokQH2SPKi0tJSOHTv6exgiIiJepyBJGuWriqTCwkIAoqOjvX6uU7FvrsPCwvw6DhGR5rBXbmusT1JBQQGFhYWqSGoFEhMTAVi1ahXx8fG0a9euwX3t6tvDhw/zyiuv8Jvf/Oa0z3fs2LGmDbSVKi0tJTQ01N/DEBER8ToFSdKo8PBwysrKKC8v9+p5zpQgafr06fTv358LLrjAr+MQEWmObt260a5du0YrkuznFSS1fF27dgXgm2++cQWJDbGDpCNHjvDII4/w6quvntaHRp9++ilhYWHMmjWr6QNuZVSRJCIibYWCJGlUeHg4gNerkgoKCujYsaNrapm/pKamkp6efsreEiIiZ7qAgACSk5MbDZLWr18POL73SctmB0kAF1544Sn3tYOkvLw817YNGza4dR7LsnjyySeprq7m2WefpaqqqgmjbX0UJImISFuhIEka5asgqbCw0O/VSCIirUlycnKjU9vWrl1LYmIiCQkJPhqVeEvNIGn8+PGn3NdeWWznzp2ubdu2bXPrPOvXr2fnzp1MmDCBvXv3snDhwiaMtvVRkCQiIm2FgiRplH2zqSBJRKRlSUlJITMzk+LiYj799NM6v/BXV1ezfPlyRowY4acRiifZH/wAjBw58pT72hVJNYPGrVu3NnoOy7KYPn06ISEhzJ49m6ioKD755JMmjrh1UZAkIiJthYIkaZR9Y3rkyBGvnkdBkoiIZyUnJ1NdXc3gwYO5/vrrueKKK8jKynI9v2rVKg4cOMC1117rx1GKpxhj2LBhA+vWrSM4OPiU+9o/2zMyMlzb7Iqk/Px8brzxRtLT0+u8bs6cOXz66ac89dRTxMbGcsMNN/Dhhx/y0ksvcfz4cQ++m5alqqqKsrIyBUkiItImKEiSRvmyR5KCJBERzxk0aBAAe/bsYfLkycB/eiIBfPLJJ7Rr144rr7zSL+MTz0tNTWXo0KGN7hcYGEhYWJgrSBozZoyrIumFF17g448/5qGHHqrzutdee42+ffvyxBNPAPDQQw9RVVXFk08+yfLlyz34TloWewU7BUkiItIWKEiSRtlT24qKirx6nsLCQmJiYrx6DhGRtqRfv348/fTTzJo1i/fee4+AgAB++OEHwDGtbe7cuVx++eWEhYX5eaTiDxEREa5q4zFjxpCbm8vhw4dZtmwZAMuXL3c9v3v3bsLCwli/fj333nsvAQGOW8jk5GRXk+5Dhw754V2cGUpLSwEFSSIi0jYoSJJGde7cGai9sounWZalqW0iIh5mjOG5557j1ltvpV27dnTv3t1VgbJy5UpycnL4xS9+4edRir/YfZI6duzoqmL68ccfycjIIDU1lcrKSlasWAHA3LlzKSkpISUlhSlTptQ6Tvfu3QFHZXFbpSBJRETaEgVJ0qjw8HA6derU6BLSzVFaWkpFRYWCJBERLzrnnHNcQdJnn31GSEiIprW1YXaQFBcXR2pqKgAffvghJ06cYMqUKQQEBLB27VoAcnJyaNeuHVu3bq1TwRYZGYkxRkESCpJERKRtUJAkjTLGMHjwYL7//nuvnaOwsBBAQZKIiBclJyeTkZGBZVmsWrWKCy64gNDQUH8PS/zEnrreuXNn4uPjSU5O5p133gEcvZb69+/v6qm1Z88e+vTpgzGmznECAwOJjIx0/SxvTHV1NY8//ji7d+/20Dvxv5KSEkBBkoiItA0KksQtffv2ZceOHViW5ZXj259iKkgSEfGec845h5KSEvbu3cvGjRsZPny4v4ckflSzIglg5MiRVFZWAo7QcciQIaxfvx7LstizZw9nn312g8eKiYlxuyLp888/5/e//z3//d//3cx3cOZQRZKIiLQlCpLELcnJyZSUlJCTk+OV49ufYqrZtoiI95xzzjkAfPTRR1RUVDBixAg/j0j8KTExEYDY2FgArrrqKtdzsbGxDBkyhPz8fLKyssjMzPRYkGSv7lZfc+7vv/+e559/nqqqKrffx5lAQZKIiLQlQf4egLQMdiPN/fv3k5CQ4PHj2zefUVFRHj+2iIg4JCcnAzBz5kwAVSS1cXYVcFJSEgCTJk3innvu4aKLLgJw9U1avHgxx44dazRIys3Ndeu8q1evBnD166rpscce48svv2Tw4MFcffXV7r8ZP1OQJCIibYlbFUnGmPeMMQeNMek1tkUbY5YYY3Y6/45ybo8wxvyfMeYHY8wWY8xt3hq8+I7dR6G4uNgrx7eDJPtTURER8bykpCTi4uLIyMigZ8+edOnSxd9DEj+aOnUqU6dOZdq0aYCjJ+Ibb7zBTTfdBMDAgQMxxvDZZ58BeKQiqaysjI0bN2KMITc3t85rMjMzAUfVXEuiIElERNoSd6e2zQQmnrTtceBry7L6AF87vwa4D9hqWdYgYAzwR2PMWc0fqviTvULL0aNHvXJ8u7xdU9tERLzHGOOq8rjnnnv8PBrxt86dO/O3v/2Nrl271vt8x44d6d27N4sWLQIaD5Lcaba9ceNGKioquOOOOwBIT3d9RklJSQm7du0CYH2E0c8AABhGSURBVP78+a5wpiWwx6rm9SIi0ha4FSRZlvUtcPLdwSRglvPxLOAae3cgzDiW9Qh1vq6y+UMVfwoPDwe8FyTl5+cTERFBcHCwV44vIiIOr7/+OqtWreKRRx7x91CkBRg0aJDrcY8ePRrcLzo6muLiYsrLy095vDVr1gBw++23A7B161bXc99//z2WZfHII49w7Ngx7rnnHioqKpoxet9RRZKIiLQlzWm2HWdZlt15OReIcz7+C9AXOAD8CDxoWVZ1M84jZwBvB0mHDh2iU6dOXjm2iIj8R3BwMCNGjCAgQOttSOOGDRvmetyuXbsG97MrihurSlq9ejU9evRgyJAhhIWF1QqS1q9fD8DDDz/MQw89xOzZs7nrrruaM3yfKS0tJTg4WB+IiYhIm+CRu0jLsSa8vS78BOB7IAEYDPzFGBN+8muMMXcaY9YbY9bn5+d7YhjiRd6e2paVlaVeHSIiImeYG264AYCgoFOvz2IHSY31SVq9ejUjRozAGEO/fv3qBEkJCQkkJCQwY8YM7rvvPmbPnk1RUVEz34X3lZaWqhpJRETajOYESXnGmC4Azr8POrffBvzDctgFZAIpJ7/Ysqy/WpY1xLKsIWqwfOYLCQkhJCTEK0FSeXk5GzZsYOjQoR4/toiIiDRdUlISb731FgsXLjzlfvYKcKeqSPrpp5/Izs5mxIgRALWCJMuyWLVqVa0KqGuuuYbKyko2bNjQ3LfhdQqSRESkLWlOkPQ5MMX5eAow3/k4C7gEwBgTByQDe5pxHjlDhIeHeyVI2rx5M2VlZa4bSxERETlz3HnnnaSlpZ1yn5MrkvLz8/nwww+prv5Pd4Nly5YBMHLkSMCxImxubi7ffPMN77//PpmZmVx11VWu/QcOHAg4eied6RQkiYhIW+JWkGSM+RBYDSQbY/YbY6YBvwPSjDE7gUudXwP8FrjQGPMjjtXcHrMs65Dnhy6+5q0gae3atQAMHz7c48cWERER7zs5SHr00Ue56aabeO+991z7fPbZZyQmJjJ48GAAfvWrXwEwduxYHn30Ufr06cOUKVNc+8fFxdGrVy++/fZbX72NJlOQJCIibcmpJ7w7WZY1uYGnLqln3wPA+OYMSs5M3gqS9u7dS7t27UhMTPT4sUVERMT7Tp7atmXLFgDuvvtuYmJi6Nu3L4sWLeL22293NXofOHAgu3btonfv3uTm5vLMM8/UaQI/btw4Pv74YyorKykpKSE8PPyMbBRfUlKiIElERNqMM+8nsZyxvBUk5eXlERcXhzHG48cWERER7wsNDSU4OJiCggKqq6vZtm0bU6dO5bzzzuO6666jf//+BAUFcffdd9d6Xa9evZg3bx4LFy6s8xw4gqSjR48yevRooqKi+K//+i9fvaXToookERFpS9yqSBIBx8pt+/fv9/hx7SBJREREWiZjDDExMRQUFJCVlUVpaSkjRozgjTfe4A9/+ANlZWU88MADxMfH13ntdddd1+Bxx40bB8CqVasAWLx4sXfeQDOVlpaSlJTk72GIiIj4hIIkcZs3K5K6devm8eOKiIiI70RHR1NYWEh6ejoA/fv3p3379jz11FNNPmbnzp2ZNWsWPXv2ZPny5Tz11FMUFRURGRnpqWF7hCqSRESkLVGQJG4LDw+nuLjY48fNy8tj6NChHj+uiIiI+I5dkWT3R+rfv79HjnvrrbcCUFFRAcCaNWuYOHGiR47tKQqSRESkLVGPJHGbNyqSqquryc/P19Q2ERGRFq5mkNS1a1ePVw1dcMEFBAYGuqa5nUkUJImISFuiIEncFh4ezokTJzhx4oTHjllUVERVVRWxsbEeO6aIiIj4XnR0NAUFBaSnpzNgwACPHz80NJT+/fuzfv16jx+7Oaqrqzl+/LiCJBERaTMUJInbwsPDATxalVRUVARwxvU6EBERkdMTExPDwYMH2bZtm8emtZ2sb9++7NixwyvHbqpjx44BjqBLRESkLVCQJG6LiIgA4MiRI43uO2fOHPbu3dvofvaxFCSJiIi0bJ06daKqqoqysjKv9T5MTk5m7969lJWVeeX4TVFaWgqgiiQREWkzFCSJ29ytSDp8+DC33HIL48ePb/SYqkgSERFpHS6++GLX49GjR3vlHCkpKVRXV7Nr1y6vHL8pFCSJiEhboyBJ3OZuRZJdcr579+5Gj6kgSUREpHUYNmwYt912Gx988AFdunTxyjl69eoFwJ49e7xy/KZQkCQiIm2NgiRxmx0kHT58mDfeeMN143QyO0A666yzGj2mHSTZxxYREZGWyRjDe++9x+TJk712DnuV1/z8/Ca9/vnnn+eZZ57x5JAUJImISJujIEncZk9tmzt3Lvfddx/3339/vfvZnxJ26NCh0WOqR5KIiIi4y17l9eDBg6f92qysLJ555hmef/75RoOonJwc3n33XQ4cONDocUtKSgAFSSIi0nYoSBK32VVDGzZsAOCbb76pd79Dhw4BUFxcjGVZpzxmUVERxhhXSCUiIiLSkA4dOhAaGtqkiqR//etfrsdLlixpcL81a9Zw4YUXcvvttzNy5Eiys7Pr3W/ZsmX07t2bO+64A1CQJCIibYeCJHGbHfZkZGQAUFlZWe9+xcXFAFRUVDTaT6moqIiwsDACAvRPUURERBrXuXPnJlUkrVixgri4OKKjo1m8eHG9++zdu5dLLrmEY8eO8corr3Do0CHGjBnDb3/7W37961+zatUq174vvPACu3fvJjs7m/POO8/Vv0lERKS1C/L3AKTlCAkJISQkhBMnTgCOsu+qqioCAwNr7WcHSeAoPT/VtLWioiJNaxMRERG3xcbGNilIWrlyJaNGjSIgIICvvvoKy7IwxtTa5+233+bEiRNs27aNbt26kZqayvXXX8/TTz8NwKJFi9i6dSuBgYFs2rSJO+64g7feeqvOcURERFozlYHIaak5Ba2qqorc3Nw6+9QMkvLz8zl8+DBHjx6t93hHjhxRkCQiIiJua0pF0pYtW9i3bx8XX3wxaWlpHDhwgG3bttXZb9GiRYwaNYpu3boBMHr0aHJzcykuLub9999n586dfPLJJ+zfv5/Dhw8zePBghUgiItLmKEiS01JYWAjA2LFjAeptQllcXEx0dDQAubm5REdHM2HChHqPV1RUpBXbRERExG2dO3c+rR5JP/30E2lpaURGRnLttddy2WWXERAQwEcffVRrv8rKSrZs2cKQIUNqbTfGEBoayo033kivXr145513+OGHHwAYNGhQ89+QiIhIC6MgSU7LhRdeCMCUKVMAOHz4cJ19iouL6d27NwD//ve/AUfjyvpoapuIiIicDrsiqbEFPWzz588nJyeHf/zjHyQmJtK1a1fS0tKYNWsW1dXVrv127NjBiRMnGgyHAgICmDJlCsuWLWPevHkADBw4sPlvSEREpIVRkCSn5V//+heLFy9m6NChwH8qlGoqLi7m7LPPxhjDd99959peXxm6giQRERE5HbGxsVRWVlJUVOTW/hs2bKBz586MGTPGtW3q1KlkZWXVWoHWnSqjO+64g6CgIGbOnEnPnj216qyIiLRJCpLktISFhTF+/HiioqKAhiuSoqKiiI2NrbW6yebNm+vse+TIEU1tExEREbd16tQJgIKCArf237BhA+eff36tXkaTJk0iIiKCmTNnurZt3LiRs846i5SUlAaPFR8fz1VXXQWoGklERNouBUnSJI0FSWFhYXTp0qXW9u3bt9f6urq6Ws22RURE5LTYQdKhQ4dc29auXcvDDz9MeXl5rX2PHz/O1q1bOf/882ttb9++PTfeeCNz5851LQiycuVKhg4dSnBw8CnPP2PGDCZOnMizzz7rgXcjIiLS8ihIkiZp164d7du3rzO1rby8nPLycsLCwkhISACgf//+hIaGsnPnzlr7FhcXU11drSBJRERE3FZfkHTNNdcwY8YMli9fXmvfzZs3U1VVRWpqap3jTJ06lePHjzN37lxKSkrYsGEDo0aNavT83bt354svvuC8885r5jsRERFpmYL8PQBpuaKioupUJJWUlACOKXA9evQAoE+fPgQHB7uCpLKyMkJCQsjLywMgLi7Od4MWERGRFu3kIKmsrIzc3FwANm3aRFpammvfjRs3AtQbJA0bNozk5GT++Mc/8tNPP1FRUcHll1/u7eGLiIi0eKpIkiaLjo52BUl5eXmkpKSwYMECwBEkde/eHXA0xRwwYADr1q3j9ddfJyoqihtuuIGcnByAOlPgRERERBpycpBkh0XgCJJq2rRpE9HR0XTr1q3OcYwxzJgxg4yMDJ599lm6d+/OyJEjvThyERGR1kEVSdJkNSuSNm3axI4dO3jssccAR5BkN7WMj49n5MiRzJkzh/vvvx+ATz/91LXyW3x8vB9GLyIiIi1RaGgoZ511litIWrlyJQAjRoyoFSRVV1ezYsUKBg8eXKvRdk2XXXYZ3333HZs2bWLcuHEEBOgzVhERkcYoSJImi4qKYu/evQCuGzS7tDw0NJRLL72U9PR0fvOb3xAZGcmjjz5KTk4Ot9xyCxMmTHDd+ClIEhEREXcZY+jUqVOtIKl3795MmDCB5557jpKSEnJychg7dizZ2dmuVdYaMnz4cIYPH+6LoYuIiLQKCpKkyaKjo12f/Nm9kWxhYWFERUXxxz/+0bXt5ZdfBiAzMxNw3PgFBwcTHR3toxGLiIhIa2AHSdXV1axcuZLLL7+c1NRULMti8+bN/OEPf+DIkSO88cYb3HTTTf4eroiISKuiIEmaLCYmhoKCAqD+IKkhSUlJBAcHc+jQIZKSkhosNxcRERGpjx0krVmzhkOHDjFhwgTXKmoLFy7k888/55FHHuGee+7x80hFRERaH00ElyaLjo7m2LFjlJWVnVaQFBQU5FrRTY22RURE5HTZQdK///1vAMaNG0fXrl3p1KkTL774IlVVVdxxxx1+HqWIiEjrpCBJmsyeknb48OHTCpIAevfuDag/koiIiJw+O0jatm0b0dHRxMXFYYxh8uTJAKSlpbnuNURERMSzNLVNmswOkgoLCyktLa31nIIkERER8ZaYmBgKCwtJT0+nb9++rmnyr732Gvfeey+xsbF+HqGIiEjrpYokabKaQVLNiqQOHToQEhJyyteeffbZAI3uJyIiInKyzp07Y1kWK1eupF+/frWeS0lJISYmxk8jExERaf0UJEmT2TdpBQUFtYKk8PDwRhto33zzzYwdO5aHHnrIq2MUERGR1sf+QAqgb9++fhyJiIhI26OpbdJkp6pIakxsbCxLly712thERESk9erVq5fr8YgRI/w4EhERkbZHFUnSZA0FSWVlZf4akoiIiLQB9uqvAEOGDPHfQERERNogVSRJk4WGhhIUFOQKkuLi4sjLy3MFTCIiIiLeEBISwrXXXktYWBhBQbqdFRER8SX95JUmM8YQHR3tCpLOO+887r77biZMmODvoYmIiEgr949//MPfQxAREWmTNLVNmiUmJsbVbDs0NJRJkybRrl07fw9LRERERERERLxAQZI0S82KpNDQUH8PR0RERERERES8SEGSNIsdJJWWlipIEhEREREREWnlFCRJs0RFRakiSURERERERKSNUJAkzRIZGcmhQ4coLy+nY8eO/h6OiIiIiIiIiHiRgiRplsjISI4dOwagiiQRERERERGRVk5BkjRLRESE67GCJBEREREREZHWTUGSNEtkZKTrsYIkERERERERkdZNQZI0i4IkERERERERkbZDQZI0i4IkERERERERkbZDQZI0i3okiYiIiIiIiLQdCpKkWVSRJCIiIiIiItJ2KEiSZlGQJCIiIiIiItJ2KEiSZgkPD3c9VpAkIiIiIiIi0ropSJJmCQ4Odj3u2LGjH0ciIiIiIiIiIt6mIEk8pmaoJCIiIiIiIiKtT5C/ByAt30svvURVVZW/hyEiIiIiIiIiXqYgSZrtiSee8PcQRERERERERMQHNLVNRERERERERETcoiBJRERERERERETcoiBJRERERERERETcoiBJRERERERERETcoiBJRERERERERETcoiBJRERERERERETcoiBJRERERERERETcoiBJRERERERERETcoiBJRERERERERETcoiBJRERERERERETcoiBJRERERERERETcoiBJRERERERERETcoiBJRERERERERETcoiBJRERERERERETcoiBJRERERERERETcoiBJRERERERERETcoiBJRERERERERETcoiBJRERERERERETcoiBJRERERERERETcoiBJRERERERERETcoiBJRERERERERETcoiBJRERERERERETcoiBJRERERERERETcYizL8vcYMMbkA/v8PQ4P6AQc8vcgRFoRXVMinqVrSsSzdE2JeJauKRHP6gR0tCwr1pMHPSOCpNbCGLPesqwh/h6HSGuha0rEs3RNiXiWrikRz9I1JeJZ3rqmNLVNRERERERERETcoiBJRERERERERETcoiDJs/7q7wGItDK6pkQ8S9eUiGfpmhLxLF1TIp7llWtKPZJERERERERERMQtqkgSERERERERERG3KEjyAGPMRGPMDmPMLmPM4/4ej8iZxBjznjHmoDEmvca2aGPMEmPMTuffUc7txhjzmvNa2myMSa3xminO/XcaY6bU2H6+MeZH52teM8YY375DEd8yxiQZY5YZY7YaY7YYYx50btd1JdIExph2xph1xpgfnNfUc87tPY0xa53XwcfGmLOc20OcX+9yPt+jxrGecG7fYYyZUGO77hWlTTHGBBpjNhljFji/1vUk0gzGmL3Oe7PvjTHrndv8du+nIKmZjDGBwOvAZUA/YLIxpp9/RyVyRpkJTDxp2+PA15Zl9QG+dn4Njuuoj/PPncD/guObJPAMMAy4AHjG/kbp3OeOGq87+VwirU0l8IhlWf2A4cB9zp87uq5EmuYEMM6yrEHAYGCiMWY48HtghmVZvYHDwDTn/tOAw87tM5z74bwObwT647hm3nD+Mq17RWmLHgS21fha15NI8421LGuwZVlDnF/77d5PQVLzXQDssixrj2VZ5cBHwCQ/j0nkjGFZ1rdA4UmbJwGznI9nAdfU2P53y2ENEGmM6QJMAJZYllVoWdZhYAmOG/0uQLhlWWssR8O3v9c4lkirZFlWjmVZG52Pi3HcqHdF15VIkzivjRLnl8HOPxYwDpjr3H7yNWVfa3OBS5yf3E4CPrIs64RlWZnALhz3ibpXlDbFGJMIXAG84/zaoOtJxBv8du+nIKn5ugI/1fh6v3ObiDQszrKsHOfjXCDO+bih6+lU2/fXs12kTXBOATgPWIuuK5Emc1Y6fA8cxHFjvRsosiyr0rlLzevAde04nz8CxHD615pIa/Uq8N9AtfPrGHQ9iTSXBXxpjNlgjLnTuc1v935BTXkHIiKeYlmWZYzR8pEip8kYEwrMAx6yLOtozansuq5ETo9lWVXAYGNMJPAZkOLnIYm0SMaYK4GDlmVtMMaM8fd4RFqRiyzLyjbGdAaWGGO213zS1/d+qkhqvmwgqcbXic5tItKwPGcJJc6/Dzq3N3Q9nWp7Yj3bRVo1Y0wwjhDpfcuy/uHcrOtKpJksyyoClgEjcEwFsD90rXkduK4d5/MRQAGnf62JtEYjgauNMXtxTDsbB/wJXU8izWJZVrbz74M4PvC4AD/e+ylIar5/A32cKxGchaMp3Od+HpPIme5zwF4lYAowv8b2W50rDQwHjjjLNRcD440xUc6GcOOBxc7njhpjhjvn099a41girZLz3/q7wDbLsl6p8ZSuK5EmMMbEOiuRMMa0B9Jw9B5bBvzcudvJ15R9rf0cWOrsKfE5cKNzFaqeOJqVrkP3itKGWJb1hGVZiZZl9cDxb32pZVk3o+tJpMmMMR2NMWH2Yxz3bOn48d5PU9uaybKsSmPM/Tj+pwQC71mWtcXPwxI5YxhjPgTGAJ2MMftxrBTwO+ATY8w0YB9wvXP3hcDlOBoqHgNuA7Asq9AY81scNw8Az1uWZTfwvhfHynDtgS+cf0Ras5HALcCPzp4uAP+DriuRpuoCzHKuBhUAfGJZ1gJjzFbgI2PMC8AmHAEuzr9nG2N24VhM4kYAy7K2GGM+AbbiWF3xPueUOXSvKMJj6HoSaao44DNnG4Mg4APLshYZY/6Nn+79jCPwFREREREREREROTVNbRMREREREREREbcoSBIREREREREREbcoSBIREREREREREbcoSBIREREREREREbcoSBIREREREREREbcoSBIREREREREREbcoSBIREREREREREbcoSBIREREREREREbf8fx0aiwOQfF4fAAAAAElFTkSuQmCC\n",
"text/plain": [
"<Figure size 1440x720 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# GRAPH MOVING AVERAGE OF TIME SERIES\n",
"\n",
"df = pd.DataFrame(np.array(cleanData))\n",
"plt.rcParams['figure.figsize'] = [20, 10]\n",
"df.rolling(window=70).mean().plot(style='k')"
]
},
{
"cell_type": "code",
"execution_count": 45,
"metadata": {},
"outputs": [],
"source": [
"# GET VARIANCE SERIES\n",
"\n",
"import statsmodels.formula.api as smf\n",
"import statsmodels.tsa.api as smt\n",
"import statsmodels.api as sm\n",
"import scipy.stats as scs\n",
"\n",
"# create pandas data frame\n",
"data = pd.DataFrame({'price':cleanData})\n",
"\n",
"# calculate log returns of price data\n",
"lrets = np.log(data/data.shift(1)).dropna()\n",
"\n",
"# remove stale data points\n",
"newLrets = []\n",
"for i in range(1,len(lrets.price)):\n",
" if lrets.price[i] == 0:\n",
" pass\n",
" else:\n",
" newLrets.append(abs(lrets.price[i]*1000))\n",
"nTS = pd.DataFrame({'price':(newLrets)})"
]
},
{
"cell_type": "code",
"execution_count": 123,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Iteration: 1, Func. Count: 5, Neg. LLF: 7576.036876626411\n",
"Iteration: 2, Func. Count: 12, Neg. LLF: 7456.630452797642\n",
"Iteration: 3, Func. Count: 18, Neg. LLF: 7155.970620301151\n",
"Iteration: 4, Func. Count: 25, Neg. LLF: 7151.751741355496\n",
"Iteration: 5, Func. Count: 31, Neg. LLF: 7149.520950501962\n",
"Iteration: 6, Func. Count: 37, Neg. LLF: 7147.287617764853\n",
"Iteration: 7, Func. Count: 43, Neg. LLF: 7146.994376601803\n",
"Iteration: 8, Func. Count: 48, Neg. LLF: 7145.730372455126\n",
"Iteration: 9, Func. Count: 53, Neg. LLF: 7145.403266360126\n",
"Iteration: 10, Func. Count: 58, Neg. LLF: 7145.392718511237\n",
"Iteration: 11, Func. Count: 63, Neg. LLF: 7145.392540412466\n",
"Iteration: 12, Func. Count: 68, Neg. LLF: 7145.392537308171\n",
"Optimization terminated successfully. (Exit mode 0)\n",
" Current function value: 7145.39253730826\n",
" Iterations: 12\n",
" Function evaluations: 68\n",
" Gradient evaluations: 12\n"
]
},
{
"data": {
"image/png": 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N7GScHUIAAADAHhAIeeBiZV1/8YMr+uTjUxqOR70u51AdHR3ScDyi4iKBEBB2r11Z1fk3y/rME1OKRQ/mPzfjVoIrYwAAAMAeEAh54EvPzkuSPvvE4CyT7olEjPITKRUZGQNC75nzRSViEX3y/VMH9jFYKg0AAADsDYHQIdvYbOsr37mg/+jBYzplJ70uxxOFrKV5RsaAUKuub+pPv39RH58+qYlU4sA+TtqKq9HqaGOzfWAfAwAAAAgjAqFD9o25S1pe2zywBatBUMikNL+0pg6n54HQ+pPnS1rfbB/41zo76YZNdAkBAAAAu0MgdIh6p+bvPzaqJ+/KeF2OZ/KZlJqtji6vbHhdCoAD0Ok4+uKz83osP66HT6UP9GPZVlySOD0PAAAA7BKB0CH6/oVlvXJpRU99MD9Qp+ZvVshYkqR5FksDofQ3r1/TfHntUDoh7aQbCNEhBAAAAOwOgdAh+sK5eY0Ox/SLM6e8LsVThWzv9DyLpYEwOntuXkdHh/SRh48f+MdKdzuEqlwaAwAAAHaFQOiQXF3Z0L956bI+8VhOqaGY1+V46vjYsBKxCIulgRB683pN//716/rMB/KKH9Cp+e3GLXYIAQAAAHtBIHRI/ui5C2o7jp56cvBOzd/MPT1v6S1GxoDQeeb8vOJRo099IHcoH6+3Q6iyTiAEAAAA7AaB0CFotjr6o+9c0E/df1T5TMrrcnwhn0lpnpExIFRqjZa+9r0F/aMzJ3R0dPhQPmYyHlUiGqFDCAAAANglAqFD8G9evqzrq42BPjV/s9NZS/NLdU7PAyHyp99fUK3ROtSvdcYYpa04O4QAAACAXSIQOgRfOFfU6WxKP35P1utSfCOfSWljs6Orq5yeB8LAcRydPVfU9GRaj06NH+rHtpNxOoQAAACAXSIQOmAvLlT0woWKnnoyr0hkcE/N36zQHZ0rLjI2BoTBf3ijrH+4XtdTTxYO/WPbVlzLa3QIAQAAALtBIHTAzp6bVyoR1a++b9LrUnwln7EkiUtjQEh84VxRmVRCvzB94tA/djqZoEMIAAAA2CUCoQNUrjX0r1+8pF9536RGh+Nel+MrJ+2kEtGIiiyWBgKvtLSmv/rhVX3q8SkNxaKH/vFtK64qV8YAAACAXSEQOkBf+W5JzVaHU/O3EI0Y5SaSKnJ6Hgi8Lz47r4gx+swTU558/HGLHUIAAADAbhEIHZBWu6MvPTuvH7snq3uOjnpdji8VMikVGRkDAm292dYff7ekjzx0XCfSSU9qsK2E1jfb2thse/LxAQAAgCAiEDogf/GDq7pc3eDU/LvIZ1KaL6/JcTg9DwTV12cvqrq+6WknZDrpjuSuMDYGAAAA7BiB0AE5e66oyfGkfvqBo16X4luns5bWN9u6vtrwuhQAe9A7Nf/A8VE9fnrCszpsyw2EKgRCAAAAwI4RCB2AVy+v6Lm3lvTUk3lFOTV/W/nu6fm32CMEBNJ33lrSD6+s6nMfLMgY777W2cmEJLFHCAAAANgFAqED8Mz5oobjEX3isZzXpfhaoRsIzXNpDAiks+eLSifj+vjMKU/r6HUILa81Pa0DAAAACBICoT6rrDX1Zy9c1C/OnJJtJbwux9dO2sOKRQyLpYEAulRZ17dfuapPvj+nZOLwT81v19shVKVDCAAAANgxAqE++5PnF7Sx2WGZ9A7EohFNTVh0CAEB9OXn5tVxHH32Ce+WSfeMp7ojY+t0CAEAAAA7RSDUR+2Oo2eeLerx0xN6z4kxr8sJhHzGYocQEDAbm239y++U9DMPHFNuwvK6HKUSUcUihh1CAAAAwC4QCPXRX//wmkpL63r6yYLXpQSGe3q+zul5IED+/MXLWqo39TmfdEIaY2Rbca6MAQAAALtAINRHZ88XdXxsWD/30DGvSwmMQsZSvdnWYo1RDyAIHMfR2fNF3XN0RB+6J+N1OVvSyTg7hAAAAIBdIBDqkzeu1fR3P1rUZ5+YUjzKP9adKmR7l8YYGwOC4IVSRS8uVPX0k3lPT83fzLYS7BACAAAAdoHkok++eL6oRDSiTz4+5XUpgdI7Pc8eISAYzp4ranQopl9+76TXpbyNnYxruU6HEAAAALBTBEJ9sLqxqa99b0G/MH1C2ZEhr8sJlFPjSUUjhktjQABcW93QN1+6rF9536RSQzGvy3mbtBVXlR1CAAAAwI4RCPXBv/regurNNsuk9yAejWhyPKkiI2OA7/3Rcxe02Xb01JPen5q/mZ1MqLLGyBgAAACwUwRC+9TpOHrm/Lxmcramc7bX5QRSIZOiQwjwuWaroy8/d0E/ed8R3XVkxOty3mHciqvebKvZ6nhdCgAAABAIBEL79PdvLOrNxbpvzi8HUSFjqbjI6XnAz771yhVdX2349mudbcUlibExAAAAYIf8tQQigM6eKyo7MqSfP3PC61ICK59JabXR0lK9qQw7mIAt33lrSddWN7wuQ5L0+b/9BxUyln7yviNel3JLaSshSaquN3VkdDC/jpx7Y1FLPhmbS0Qj+vD9R5WI8X0nAAAAvyIQ2od6o6WXL1X16Q9M8T+9+3C6e3q+WF4jEAK6LlfX9U8+f15+apz7bz72kCIR/5ya385Ouh1ClbXB7BAqLa3p03/4nNdlvM2/+LVp/er7/HWNDgAAADcQCO1Daiimv/svf1qbbXZW7Ec+Y0mSiot1vS8/7nE1gD/MXqjIcaT//TPv1b1Hvd/ZE40YFTIpr8u4rd7I2KAGQldW3E6y/+GXz3j+ddSR9Kv/xzl9/8IygRAAAICPEQjtUyIWoTtonybHLUWMNM+lMWDLbKmieNToZ95zVEOxqNfl+J6ddEfGln0yMnXYyjX3z/3wqbTuPTbqcTXSdM7W7IWK12UAAADgXZBkwHOJWESnxpMqcmkM2DJbqujBE2OEQTuUHvCl0uV6Q5KU9cnY7fSkrdeurmq92fa6FAAAANwGgRB8wT09T4cQIEntjqOXLlY1k7O9LiUwRodiipjBHRnrdQhNpBIeV+Kaydlqdxy9cqnqdSkAAAC4DQIh+EIhk9JbnJ4HJEk/uraqtWZb0wRCOxaJGNlWQpX1QR0Za2hsOOabEeZHcmlJbqcbAAAA/Mkf/+eIgZfPWFrZaA3sd/eB7Xq7V+gQ2h07GR/YryHletNXVxqPjg7rlJ0kEAIAAPAxAiH4Qu96UZGxMUBzCxWNDcd8fdXLj9JWfHB3CNWayvhkXKxnJmdrboFACAAAwK8IhOALhaz7xHeexdKAZktVTedsRSLG61ICZbA7hBrKjPgrEJrOpVVaWle51vC6FAAAANwCgRB8ITeRlDHSW4t0CGGwrTVbeu3KCuNie2BbiYE+O++nkTHJvTQmiS4hAAAAnyIQgi8MxaI6mU5yaQwD7+WLK+o47A/ai3QyruoAdgi1O46W1/w3MnZmMq2IcTveAAAA4D8EQvCNQtZSkZExDLjZ0rIk6ZFJAqHdsq24VhstbbY7XpdyqCprTXUc+S4QshIx3XdslMXSAAAAPkUgBN8oZFJ0CGHgzZWqOmUndWTUX+M/QTBuuYHIyoAtli7X3TE5v42MSd3F0qWKHMfxuhQAAADchEAIvlHIpLS8tjmQIx9Az2ypopkpuoP2wrbikqTKgAVCi92lzX5bKi25gVB1fZODAQAAAD5EIATfyGcsSZyex+C6trqhi5V1zTAutifpZDcQGrBQeanbIZT1YYfQdHcXFmNjAAAA/kMgBN/onZ4nEMKgerG7fJcOob2xuyNj1fXBujRWrrl/3gmf7RCSpHuPjigZjxIIAQAA+BCBEHxjasKSMWK0AANrtlRRNGL08Mm016UEkj2gHULlWkPG3Nih5CexaERnJtOcngcAAPAhAiH4xnA8qhNjwyou0iGEwTS3UNH9x0aVTES9LiWQejuElgcsEFqsNzVhJRSNGK9LuaWZnK1XLq2o2Rqs628AAAB+RyAEX8lnUoyMYSB1Oo5mS5WtnSvYvdHhuIyRqmuDNTK2VGv6cqF0z/SkrWarox9eWfG6FAAAAGxDIARfKWQtRsYwkN4q17W60dKjBEJ7Fo0YjQ3HB+7KWLne8OX+oJ7eTqw59ggBAAD4CoEQfKWQSalcb2plY7Ce0AGzF9wny3QI7c+4FR/AHUJNZXx4YaznZHpY2ZEhvUAgBAAA4CsEQvCVfMa9NDa/SJcQBsvcQkWpRFT3HB3xupRAS1uJgesQWqw1lPVxh5AxRjO5NB1CAAAAPkMgBF8pZC1JnJ7H4JktVXRmMu3bxcBBYSfjA7VDqNnqaGWj5esOIcldLP0P1+t0fwIAAPgIgRB8JT/R7RAiEMIA2dhs69XLK4yL9YFtDdYOoeVu+OXnHULSjVHIF0tVjysBAABAD4EQfCWZiOr42LDeYmQMA+TVyyvabDsslO4DOzlYO4QWaw1JUtbHV8Yk6ZHJ7mLpBcbGAAAA/IJACL6Tz1h0CGGgzJZYKN0vaSuhlY1NtTuO16UcinLN7RDy+8hYOhnXXUdSeuECgRAAAIBf7CgQMsZ8xBjzmjHmDWPM797i1z9njLlujJntvvyz/peKQVHIpFTk9DwGyFypomNjQzqRTnpdSuDZybgcR1oZkLGxpXo3EPL5yJgkzUzami1V5DiDEdYBAAD43R0DIWNMVNIfSPqopAclfcoY8+At3vSPHceZ6b78YZ/rxADJZy0t1hqqNVpelwIcitlSRdOTdAf1w3gqLkkDs0eoNzKWSfm7Q0hyO+AWaw1drm54XQoAAAC0sw6hxyW94TjOm47jNCV9RdLHD7YsDLLT3dPzxUXGxhB+lbWmiuU1zUwRCPWDnXQ7ZSoDcmmsXG8qFjEaS8a8LuWOZrojkbOcnwcAAPCFnQRCpySVtv18ofvYzX7FGPOiMeZrxpjcrd6RMeY3jTHPG2Oev379+h7KxSDIZ3qXxhgbQ/j1nhzP0CHUF2lrsDqEyrWGMiMJGWO8LuWOHjgxqkQ0ojkCIQAAAF/o11Lpfy2p4DjOI5L+UtLZW72R4zifdxznMcdxHjty5EifPjTCJp+xJElFFktjAMyVqjJGOjOZ9rqUULCTbiBUHZBLY+VaMxDjYpI0FIvqPSfH6BACAADwiZ0EQhclbe/4mew+tsVxnLLjOI3uT/9Q0vv6Ux4GUWoopiOjQ1waw0CYW6joniMjGh2Oe11KKNjW4I2MZXx+cn67R3O2XrpYHZgrcAAAAH62k0Dou5LuNcacNsYkJH1S0je2v4Ex5sS2n35M0qv9KxGD6HQmpeIiI2MIN8dx3IXSnJvvm7Fhd5fO8qB0CNUbgbgw1jOdS2ut2daPrq16XQoAAMDAu2Mg5DhOS9JvS/q23KDnq47jvGKM+X1jzMe6b/Y7xphXjDFzkn5H0ucOqmAMhnzGYmQMobewvK6lenNr2S72LxaNaHQ4purA7BBqKjMSjJExSZrJjUsSe4QAAAB8YEc7hBzH+abjOPc5jnO34zj/ffex33Mc5xvd1/+54zgPOY4z7TjOTzmO88ODLBrhV8imdG21obUmp+cRXi/0FkoTCPWVbcUHYmRsvdnWWrMdqJGxQsbS2HCMPUIAAAA+0K+l0kBf9RZLc2kMYTZXqmgoFtH9x0e9LiVUxq3EQFwZK9fd1X1BGhkzxmg6Z2u2VPW6FAAAgIFHIARfKnRPzxcXGRtDeM2WKnr4VFrxKF+K+ymdjKsyADuEyjW3CyooV8Z6Hs3Zev3qKh2gAAAAHuNZCHzpxul5OoQQTpvtjl6+WGVc7ADYVmIgdghtdQgFaGRMkqZzttodRy9fXPG6FAAAgIFGIARfGh2OKzuS4PQ8Quu1K6tqtDpcGDsAdnIwdggtdjuEsgFaKi1p6+88i6UBAAC8RSAE38pnUlwaQ2j1lurOTBII9ZttxVVd31Sn43hdyoFaqruB0ESAdghJboA1OZ7U7AKBEAAAgJcIhOBbhUxKxUVGxhBOc6WKJlIJ5SaSXpcSOulkXB1HWt0I946acq2h4XhEViLqdSm7Np2zNXuBQAgAAMBLBELwrULG0pWVDa03216XAvTdbKmi6cm0jDFelxI6tuV2zFTWwz02Vq41lUkNBfLv0MykrYuVdV1fbXhdCgAAwMAiEIJv5bPupbELS3QJIVxWNzb1xvWaZnLjXpcSSuOMYyARAAAgAElEQVRWXJJCf2lssd5UNmALpXtmptxRyRcZGwMAAPAMgRB8q9C9NPYWp+cRMi8tVOU40nQu7XUpoWT3AqGQXxpbqjcCtz+o56GTY4pGzNYuLQAAABw+AiH4Vj7jdghxaQxh01umy8n5g5FOdkfGQn5prFxrKhOwC2M9ViKm+46NEggBAAB4iEAIvpVOxjWRSqhYZmQM4TJ7oaJCxtradYP+6nUIVUPcIeQ4TjcQCu7foZmcrblSRY4T7mtwAAAAfkUgBF/LZyw6hBA6cwsVuoMOUDoZ/h1Cq42Wmu2OsqlgdghJ0kwurZWNFmPBAAAAHiEQgq+dzqRU5MkCQuRydV1XVxqaJhA6MPFoRCNDMS2HeGRsqeb+2YK6Q0jS1ufAHIulAQAAPEEgBF/LZ1K6VN3Qxian5xEOc92dKQRCByudjKsa4g6hct091x7kkbF7j47KSkQ1e4FACAAAwAsEQvC1Qta9NFbi9DxCYrZUVTxq9OCJMa9LCTXbiof6ythit0MoG9Cl0pIUjRidOZXW7ELV61IAAAAGEoEQfK13aYzF0giL2dKy3nNiTMPxqNelhNq4lQj1lbFyNxAKcoeQ5C6WfvXSihotukABAAAOG4EQfO10LxBijxBCoN1x9NJClYXShyAd8g6hpe7IWJB3CEluINRsd/Tq5VWvSwEAABg4BELwtbQVl23FVeTSGELgjWs11ZttTU8SCB00O+Q7hBZrTY0OxTQUC3an2dZi6RJ7hAAAAA4bgRB8L59JaZ6RMYRA70nvzBSB0EHr7RByHMfrUg5Eud4M/LiYJJ1ID+vI6BCBEAAAgAcIhOB7hYxFhxBC4YVSRaPDsa1RSBwcO5lQu+Oo1mh5XcqBKNcaygR4oXSPMUYzOVuzBEIAAACHjkAIvlfIpHSpss7SUQTeXKmimZytSMR4XUropa24JKkS0rGxpXpTmYDvD+qZydl6c7Ee6hE/AAAAPyIQgu8VspY6jlRaWve6FGDP1pttvXZ1lf1Bh8ROhjsQWqyFY2RM0tbnxIsX6RICAAA4TARC8L3e6fl5xsYQYC9fqqrdcbaW6OJg2ZYbllTWw3d6vtNxtFRvKJMK/siYJD2SS0uSZi8QCAEAABwmAiH4XqF3ep7F0giw3tLc6e6TXxys8RCPjFXWN9VxFJoOobHhuO4+ktLcAoEQAADAYSIQgu+NW3GNDcdUXKRDCMH1QqmiU3ZSR0eHvS5lIGztEFoPXyC0VG9IUiiWSvdM52zNlqqhvQoHAADgRwRC8D1jjArZFJfGEGi9hdI4HOnuDqHqWvhGxhZr7p8pLEulJenRnK3FWkMXK+yKAwAAOCwEQgiEfCaleUbGEFCLtYYWltcZFztEQ7GorEQ0lCNj5V4gFJKRMUlbu7XmSlWPKwEAABgcBEIIhELG0sLympqtjtelALvW2x80kxv3uJLBYifjoRwZK/dGxkKyVFqSHjg+pkQswh4hAACAQ0QghEAoZFLqONLCMl1CCJ7ZUkXRiNHDp8a8LmWgpK2EKiEcGSvXmjLmxuLsMEjEInro5BiXxgAAAA4RgRACoZC1JImxMQTSbKmi+46NykrEvC5loNjJeDhHxuoN2cm4YtFw/Sd8etLWSxerarXpBAUAADgM4fq/SYRWfuv0PIulESyO43QXSrM/6LCNp0I6MlZrhurCWM9Mztb6Zls/ulbzuhQAAICBQCCEQMikEhoZ4vQ8guetxbpWNlqanuTC2GFLJxPh7BCqNUN1Yaynd4VvtsTYGAAAwGEgEEIguKfnLRUZGUPA9JbkzkwRCB0224qrut6U4zhel9JX5XpD2RB2COUzltLJ+NYSdgAAABwsAiEEhnt6ng4hBMvshYqsRFT3Hh31upSBYyfj2mw7Wmu2vS6lr8r1piZC2CFkjNF0zqZDCAAA4JAQCCEw3NPz69pk4SgCZHahqjOn0opGjNelDBy7e4UrTHuENtsdVdY2lRkJXyAkuWNjr19dVb3R8roUAACA0CMQQmDkMym1Oo4uLq97XQqwI41WW69eWtnajYLDlU66oclyPTyn53t/ljAulZakmVxaHUd6+WLV61IAAABCj0AIgXE6y6UxBMurl1fVbHcIhDzS6xCqhqhDqNwNhLIhHBmTtLV8vbd7CwAAAAeHQAiBkc9YkqR5FksjIHrLcacJhDyxNTIWoktj5ZobCIVxh5Dkdj7lJpLsEQIAADgEBEIIjCMjQ7ISUTqEEBizpYqOjg7pRHrY61IG0rjlhiaV9fCMjJXrDUnhHRmT3C6huRIjYwAAAAeNQAiBYYxRPpNScZFACMEwV6poOmfLGBZKeyGdDF+H0GK3Qygb0qXSkrtY+mJlXddWN7wuBQAAINQIhBAop7MWI2MIhOrapt5crLM/yEPD8aiG45Fw7RCqNRSLGI0Nx70u5cD0PmfoEgIAADhYBEIIlHwmpdLymlqcnofP9ZbiEgh5y04mVFkLz8jYUr2p8VRCkUh4u84eOplWNGK2dnABAADgYBAIIVAKGUubbUeXq4wSwN9mSxUZI52ZTHtdykCzrXjoRsYyIV0o3ZNMRPXA8VEWSwMAABwwAiEESj7jnp5/iz1C8Lm5UkV3HxkJ9WhPEKST4QqEyvWGsiFeKN0znbM1t1BRp+N4XQoAAEBoEQghUE5n3UBonktj8DHHcTRbqmh6knExr9lWPFxXxmpNZUK8ULpnZtLW6kZLb/G1HgAA4MAQCCFQjo4OaTgeUZHF0vCxheV1letNzUwRCHlt3EqEqkNoqd7URMhHxiRtfe7MXmBsDAAA4KAQCCFQjDEqZFJ0CMHXthZK0yHkubQVV2V9U44T/NGjjc22ao3WQIyM3X1kRKlEdOtzCQAAAP1HIITAyWcsdgjB12YvVJSIRfTAiVGvSxl4djKhZqujjc3gXyYs193Rt7AvlZakaMTozGSaS2MAAAAHiEAIgVPIplRaWlebZaPwqbmFih4+OaZ4lC+xXrMtd6l3GPYIlWsNSVJmADqEJGkmN64fXF7Rxmbb61IAAABCiWcrCJxCJqVmu6PL1XWvSwHeYbPd0UsXq5rOMS7mB3ayGwiFYI9Qr0NoEHYISdJMLq3NtqNXL694XQoAAEAoEQghcPIZS5I0z2Jp+NDrV1e1sdnRDIGQL6StEAVCNTcQyg7AlTFJW6EqY2MAAAAHg0AIgVPIuKfn2SMEP5rtPnklEPIHO+mGJ5U1RsaC5kQ6qWNjQ1ufUwAAAOgvAiEEzvGxYQ3FIlwagy/NlSoat+KamrC8LgXavkMoBB1C9aaGYhGlElGvSzk005O25haqXpcBAAAQSgRCCJxIxCifsVRkZAw+NFdy9wcZY7wuBZLGrV6HUAgCoVpTmVRioP5uTedsvbVYD0WHFwAAgN8QCCGQ8pmUioyMwWdqjZZev7bKuJiPDMcjSsQi4bgyVm8MzLhYz6O9PUJ0CQEAAPQdgRAC6XQ2pfmlNXU4PQ8feWmhKscRF8Z8xBgjOxlXNSwdQgOyULrn4cm0jGGxNAAAwEEgEEIg5TOWmq2OrqxseF0KsGVrofQkgZCf2FY8JCNjDWVSg9UhNDYc191HRgiEAAAADgCBEAKpd2msyGJp+MhcqaJ8xtJ4arC6OPzOTiYCPzLmOI7K9cHrEJLci32zpYoch45QAACAfiIQQiDlM+4Fp+Iii6XhH7OliqbpDvKddAg6hOrNthqtjjIDGDZO52yV600tLK97XQoAAECoEAghkE6mk0pweh4+cqW6oSsrGyyU9iE7GfxAqFxrSNLALZWWboxgzi0wNgYAANBPBEIIpEjEaGrCYmQMvtHbH8RCaf+xrXjgR8YWa279gzgy9sCJUSViEc1eIBACAADoJwIhBFYhY2m+zMgY/GFuoaJYxOihk2Nel4Kb2FZCG5sdbWy2vS5lz5bq3UBoAEfG4tGIHj45RocQAABAnxEIIbDymZSK5Tqn5+ELc6WK3nNiTMPxqNel4Ca2FZckVdeDOzY2yCNjktt599LFqjbbHa9LAQAACA0CIQRWIZvSxmZH11YbXpeCAdfuOHpxocr+IJ+yk25XTZD3CJUHuENIci+NbWx29PrVVa9LAQAACA0CIQRWoXdpjD1C8Nib12uqNVrsD/KpXodQZS24e4QWaw2NDMUGtgOtF7bOlaoeVwIAABAeBEIIrEImJUlcGoPnXugulKZDyJ/SyW4gFOCRsaV6cyAXSvdMTVgat+KaLS17XQoAAEBoEAghsE6khxWPGr21yGJpeGuuVNHoUEx3ZVNel4JbCEOHULnW1MSAjotJkjFG0zmbDiEAAIA+IhBCYMWiEeUmLDqE4LnZUkWP5NKKRIzXpeAWbCv4O4QWaw1lUoO5ULpnetLW69dWVWu0vC4FAAAgFAiEEGiFTEpFTs/DQxubbf3wyirjYj6WSkQVj5pAj4yV601lB3hkTHJHMh1HemmBLiEAAIB+IBBCoOUzboeQ43B6Ht545VJV7Y6j6UkCIb8yxiidTAS2Q6jTcbQ84DuEJG0tbZ9bqHhcCQAAQDgQCCHQCpmU1pptXef0PDzywgUWSgeBbcVVXQ/mDqGVjU21Oo4mBnxkbCKV0NSEpbkSgRAAAEA/EAgh0ArdJb6MjcErcwtVnUwP6+jYsNel4F3YyXhgO4QWa26QNegjY5LbJTRLIAQAANAXBEIItELGkiQVWSwNj8yWljUzRXeQ39lWcAOhcs3tgBz0pdKS24l3ubqhqysbXpcCAAAQeARCCLRTdlKxiFFxkUAIh69ca6i0tM7+oABwdwgFc2Rsqe7WPeg7hCRpJpeWJMbGAAAA+oBACIEWi0Y0OZ7UPCNj8EBvuS37g/zPtuKBvTK22AuEUgRCD51MKxYxjI0BAAD0AYEQAq+QTTEyBk/MlqqKGOnhU2mvS8Ed2Mm41pptNVptr0vZtd7I2DiBkIbjUT1wYpRLYwAAAH1AIITAK2RSmi+vcXoeh262VNF9x0aVGop5XQruwO6GKdUAdgmVa03ZVlzxKP/JlqTpSVsvlqrqdPiaDwAAsB/83yUCL5+xVGu0ti7xAIfBcRzNlSqMiwWEnYxLkqoBXCy9VG8yLrbNdM7WaqOlNxdrXpcCAAAQaARCCLxCxj09P8/YGA7RfHlN1fVNTRMIBYJtuYFQEPcILdYaXBjb5tHu59xsqepxJQAAAMFGIITAK2TdQKjIYmkcot5SWzqEgsFOuh02QTw9X643uTC2zV1HRjQyFOPSGAAAwD4RCCHwTtlJRSOGDiEcqtlSRcl4VPceHfG6FOzAVodQAE/Pl2sNAqFtohGjM6fSXBoDAADYJwIhBF4iFtEpO6m3FgmEcHhmSxWdmUwrxqLfQEhvBULB6hBqtTuqrG8yMnaTmSlbr15e0cZm8K7GAQAA+AXPZBAK+YyleUbGcEiarY5+cGmFcbEAGR2KKRoxqqwHq0NoeW1TjiM6hG4yPWmr1XH0g8srXpcCAAAQWARCCIXT2ZSK5Tqn53EoXr28oma7QyAUIMYY2cl44DqEyvWGJNEhdJNHp7qLpS8wNgYAALBXOwqEjDEfMca8Zox5wxjzu+/ydr9ijHGMMY/1r0TgzvKZlFY3WloO2JM9BNPcgvsklAtjwZK24oG7MlauuR1NdAi93bGxYR0fG976XAQAAMDu3TEQMsZEJf2BpI9KelDSp4wxD97i7UYl/SeSnut3kcCdFDKWJLFHCIdi9kJF2ZEhnUwPe10KdsFOxlUNWGhcrruBUJZA6B2mcyyWBgAA2I+ddAg9LukNx3HedBynKekrkj5+i7f7byX9j5I2+lgfsCP5jHt6nktjOAyzCxXN5GwZY7wuBbtgW4nA7RAq19yRsQlGxt5hJjeu+fKaluvB+ncKAADgFzsJhE5JKm37+UL3sS3GmPdKyjmO8+fv9o6MMb9pjHneGPP89evXd10scDu5iaQiRiqyWBoHrLq+qTev1zWTS3tdCnYpkDuEak1FjFs73m66+znI2BgAAMDe7HuptDEmIul/kfSf3+ltHcf5vOM4jzmO89iRI0f2+6GBLUOxqE7aSTqEcOBe7D75nMmNe1wJdittBXFkrKGJ1JAiEbrRbnbmVFrGiLExAACAPdpJIHRRUm7bzye7j/WMSnpY0t8YY4qSnpD0DRZL47AVMikV2SGEAzbXffJ5ZpIOoaCxkwmtNlrabHe8LmXHFmtN9gfdxuhwXPceHdn6nAQAAMDu7CQQ+q6ke40xp40xCUmflPSN3i86jlN1HCfrOE7BcZyCpGclfcxxnOcPpGLgNvIZi5ExHLjZUkV3H0kpzQhP4NiW+++sGqBLY0v1piZSBEK3Mz1pa26hKsdxvC4FAAAgcO4YCDmO05L025K+LelVSV91HOcVY8zvG2M+dtAFAjt1OptSdX1TlTUWjOJgOI6j2VKVc/MB1QuEgrRHqFxrKDPCQunbmc7ZWqo3VVpa97oUAACAwInt5I0cx/mmpG/e9Njv3eZtP7z/soDd610aK5bXNGPxHXX038XKuhZrDT1KIBRIdvfrQjVAl8bKtaYydAjd1kz3c3F2oaKpjOVxNQAAAMGy76XSgF8Uuk8G2COEgzJXqkoSHUIB1bvUFZQOoUarrdVGix1C7+L+46MaikXYIwQAALAHBEIIjdyEJWOkIpfGcEDmFipKxCJ64PiY16VgD4I2MrZUdzuZJlKMjN1OPBrRw6fSXBoDAADYAwIhhMZwPKqT6aTmWSyNAzJ7oaKHTo4pEeNLZxDZSbfTphKQpdLlmhsIZegQelczOVsvX6wG6nocAACAH/CsBqGSz1h6i5ExHIBWu6OXLlY1Pcm4WFCNDsdkjAKzeH6x1pAkRsbuYDpnq9Hq6LUrq16XAgAAECgEQgiVfCaleUbGcABev1rT+mZbj04RCAVVJGKUTsYDMzK21SHEyNi7mumGtIyNAQAA7A6BEEKlkLG0vLapakCe8CE45hbcJ5t0CAXbuJUIzMjY1g4hOoTeVW4iqYlUgsXSAAAAu0QghFApZN3T8/NLdAmhv2YvVGRbceU5bR1obodQQEbG6g0lohGNDsW8LsXXjDGankxvhbYAAADYGQIhhEoh4wZC7BFCv80tVDQ9acsY43Up2AfbiqsakA6hcq2pzEiCv3M7MJ2z9aNrNa1uBOPfLQAAgB8QCCFUpibc7g0ujaGf6o2WXr+6qpkc42JBZwdqh1CDC2M7NJOz5TjSSxerXpcCAAAQGARCCJVkIqoT6WEVWSyNPnrpYlUdRwRCIWBbicCMjC3Vm5pgofSO9HZ7zZUIhAAAAHaKQAihk89YdAihr3rLah+ZTHtcCfYrnYxrZaOldsfxupQ7Wqw1lU3RIbQT46mE8hlLs6Vlr0sBAAAIDAIhhE4hk1KRHULoo9lSRVMTljIjdGsEnW3FJcn3e4Qcx1G5zsjYbszkbDqEAAAAdoFACKGTz6RUrje1wnJR9MlcqaJpxsVCoRcI+X1sbK3Z1sZmhxByF6YnbV1Z2dCV6obXpQAAAAQCgRBC53TWXSx9gbEx9MG1lQ1dqm6wPygkbMvtuKn4vENoqe4GVhlGxnasF9rOljg/DwAAsBMEQgidfPf0PIul0Q+9J5czOfYHhYGd7I6M+fzS2GKtIUmMjO3CQyfHFIsYzS0QCAEAAOxEzOsCgH7LZ9wOIfYIoR9mSxXFIkYPnSQQCoMbHUL+Hhkr13odQoyM7dRwPKr3nBjT7AUCIQAABp7jSM26tFGR1ivS+vKN19/tsd/4Kyk57nX1h4ZACKFjJWI6OjqkIiNj6IO5hYoeODGq4XjU61LQB70OoYrPO4TKdTqE9mI6l9bXX7ikdsdRNGK8LgcAAOyH40ib6zeFNst3DnV6j3Vat3/fJioNp6Wk7QZAw7Y0XpA6nUP74/kBgRBCqZBNaZ6RMexTp+PoxVJVH3/0pNeloE/GAhMI0SG0FzO5cX3p2Qt683pN9x4b9bocAAAguSHLVpiz7WVtaVugc1PQ03us/W5d3eZGqDPcDXbSk93Xtz229fq28GdoVDJ884hACKFUyFj669eue10GAu7NxZpWGy1NT7JQOiyiEaOx4Zjvr4yVa01ZiaiSCTrTdqO36+uFUoVACACAfut0pEZ1W6DTC3eW3hnyvO3xiiTn9u93KC0l0zdCm6MPvHuo03tsaEyKsBZ5PwiEEEr5TErXVxdUa7Q0MsRfc+zNbKkqSVwYCxnbSvj+yli51mBcbA/uyo5odCimuVJFn3gs53U5AAD4k+NIjZWbwpt3C3S6j29UJOddRqqGut061oQb2IznpWT39d5jyfG3PzacliJ8A8wrPFNGKBW6l8bmy3WWAWPPZkvLGhmK6e4jI16Xgj6yrXggRsYYF9u9SMTokVyaS2MAgMHR69pZW+q+lN2X9W2vb/+19e7rTvv273No7MZ4VXJCSuduHehsD3qGbSlKvBA0/BtDKBWy7qWx+fIagRD2bK5U1SOTaUVYThsqwegQauqkPex1GYE0PWnr83/7pjY22yyDBwAES7/DnUhMsjI3Xo7c33194l06d2wpGj/cPzc8QyCEUMp3O4SKLJbGHm1stvXq5RX95k/c5XUp6DM7GdcFn39tKNcbevjUmNdlBNJ0zlar4+iVS1W9Lz/hdTkAgEHlOFKzJtUX3fCm92Pfw51uwNN7PTlx4+csTsYdEAghlEaGYsqODKm46O8nffCvVy6tqNVxNM3+oNCxrbivO4Qcx1G51lRmhJGxvXi0+zk7WyIQAgD0keO4O3TqZWltsRvwLN4U+Nz083bj1u9re7iTnCDcgWcIhBBahYylYnnN6zIQULMldwfJowRCoWMn46qub6rTcXw5Driy3lKr4yiTYqn0XhwdG9aJ9PDW5zAAALfU6XSXJe8w3FkrS53bfEMpnpJSWfdl9IR0/Iwb4qSyktV9fHt3D+EOfIJACKFVyKb0dz/i9Dz2Zq5U0Yn0sI6OscclbNJWQo4jrW60lLb8NyNfrrvfTczSIbRn05O25giEAGCw9Dp4atel+nWpfs0Nct4R7lx3X19fuv3FrKG0lMq4YY49JZ189KZwJ3vj11NZKZ483D8r0CcEQgitQsbS177X0FqzJSvBX3XsztxChXPzIWUn3RBoea3p00CoKUmaoENoz2ambH3rlStaqjf55wgAQdZuuWFO7Vo3yOm+1HphT/fxXgh0uw6e5PiN8CZzjzT1xO3DHSsjxfimDAYDz5IRWvmt0/Nres8JlrNi55bqTc2X1/Spx6e8LgUHwO6GQH7dI1SuuR1CmRGCjL2annTD3LlSRT/1wFGPqwEAvE1z7Ub3Tu3aO0Od7aHP+tKt30c0IaWOSiNHpJFj0rEzbpgzclRKHXn7i5XhHDpwG3xmILQKW4FQnUAIuzK34I6a9J5UIlxsyw1aKmtNjyu5tcWaWxcjY3t3ZjItY9xdYARCAHDAHEdqrLoBTu2q+/JunTybtzn6MpS+Eepk75XyH3IDnZEjbviTOtINfLLS0Bg7eIA+IBBCaOWzliSxWBq7NnuhooiRHplMe10KDkCvQ6jq0w6hpe7I2LhFh9BejQzFdN/R0a1wFwCwB61mN8S5si3s2Rb6bH9s8xb/v20i7hhWL8QZP70t4OmFPN1ft7JSnL2NwGEjEEJojQ3HlUklOD2PXZtbqOjeo6NKDfElMox6O4Qqa/4MhMq1hsaGY0rEIl6XEmjTubT+8gdX5TiODN9FBgCX47iXtbaHOqtX3hnw1K7eflwrOeGOaY0clSYfd38cOXbjsd6PyXEpEj3cPx+AXeHZDkItn7FULBMIYeccx9FcqaKfe/C416XggKR9Hggt1puMi/XBdM7WV59f0IWlta2dcgAQWs2123Tw3Nzdc+3Wi5djwzdCnew9UuFD7wx4Ro65nT0sXAZCg0AIoVbIpHT+zbLXZSBALiytaXltU9NcGAutWDSi0aGYKuv+3CFUrjVYKN0HvSuBs6UKgRCA4NrccEOd1SvS6uVb/HjVfb1RfefvNZEbe3dGjklHH7ypm2dbV8/QKDt5gAFEIIRQK2RT+tMXLmpjs63hOC2ruLPZkrtzhJPz4Za24qr6tENoqd7UXdkRr8sIvPuPjWo4HtFsqaKPz5zyuhwAeLtWw+3aeVvAc4vgZ+MWu9CiCWn0uDR6Qjpyv3TXh6XRY9LI8RsBz+hx97oWI1sA3gWBEEItn3EXS8+X13T/8VGPq0EQzJYqSsajuu8YT8jDzLbiWvbplbFyranHCnQI7VcsGtGZU2nNlVgsDeAQtTe3BT03hz3d12tXpLVbdLBHYm6oM3pcytwtFX7sRvAzeqz74wl3Nw/dPAD6gEAIodY7PV8s1wmEsCNzpYrOnEorFmWhb5jZyYQqPrwy1u44WlprKpsiEOqH6Ulbzzw7r812R3E+pwHsh+NIa0vS6iVpZdvL6uVuANQNe+qLkpy3/14TdTt3Ro9L4wVp6gPdcOf4239MTkgRvlYBODwEQgi1rUCIS2O+1Wp39M+eeV4Xl9e9LkWS9OZiXf/0QwWvy8ABs624LlX88Xduu+W1phxHyrBUui+mc7aaf/+W/uuvv7y1TByuRCyi3/iJuzQ2zD8XQJ22G+qsXJZWLnaDnpuCn5VLUrvx9t/X29EzelwaOyWdet+NgKfX6TN6wj2tzugWAB8iEEKopa24jo8N6weXV7wuBbfx2tVV/c1r1/X+wriOjHr/JPiBE2P6xGM5r8vAAbOtuC87hJbq7hgbS6X744m7Mjo2NqSvz170uhTf2dh0u6Z+52fu9boU4GBtbrjdO71unl7gs/2ldlVy2m//fdGEG+b0gp73/IL7+thJafSk++PIMSnK0ykAwcVXMITedC69tSgY/jNXcq9i/Itfm+YSEA6NnUyostZUp+MoEvHPHobFmvvd5wlGxvriyOiQnvuvftbrMnzpqf/7O/ryc/P6rQ/fzTgdgmtj5aaQp/v69sdutasnMeoGOmMnpbt/quOeAxEAACAASURBVBvynLgR+IyddBcys6cHQMgRCCH0pnO2vv3KVS3XmxrnSZbvzJUqsq24piYsr0vBALGtuDqOVGu2fDUyU665HUJZRsZwwD73wbz+6Ree17devqJ/PH3S63KAd2quuaFOtSRVL0rVBWlloftjt+OnufrO32dlpbFuuDP5/hvdPL3HRk9Iw2OH/+cBAB8iEELo9c6Hzy1U9OH7j3pcDW42W6poetKW4btwOES9fTLVtU2fBUJuh1CG8BoH7CfvO6qpCUtnzxUJhHD42i330la1F/gsdMOfhRsv60s3/SZzY1fPkfulu3/6RjdP72X0hBQjUAeAnSIQQuidOZWWMW7wQCDkL7VGS69fW9VHHj7udSkYMLblBi7La03lfNSdVq43FTE36gMOSjRi9NSTef13f/6qXr5Y1cOn0l6XhLBwHGl9+Uaws7It9Ol1+qxefufOnuG0NDYppSfdzp70KSmdcwOg9GQ37OFrIwD0E4EQQm90OK57j45ojj1CvvPyxaoc50YXF3BYbMvtCqqs+WuxdLne1LiVUNRHe40QXr/2WE7/81+8rmfOF/U//eq01+UgKDbXb3T23NzV0wuANtfe/nuiiRvBzukfd38c6wY+6cn/n707j2/rrvP9/zqSJdvyInm3Y8t29j12mrRZWmhLC20ptCwtFLqkAwPDNuzDZZg7M/c3y2/uhWEYHkNn5jIzQLpAoYVCoUChDBRK0i2NlDRL0zSxLTmrHUu2vMmWzv3jyLFTksaL5CNb7+fj4YcTW7U+SWNZep/P5/O1wp/8Env+PCIiOUyBkOSElgYfTxw4iWmaGk3KImPLvtc16Mq0zK6ysUAoy04a644N64QxmTXeQhdvv6Se7+8K8+c3rNSePZnQ3ROCSEfqLfXrsf0951vSXFxrhTo1q2DZdePhz1iXj6cSHFpeLiKSbRQISU5o8ft4aFeY0JlBGiuyZzwk1wVDERrLPVRoga7MMm+h9cI3OhC3uZJzdcfiVBTp+0Fmz7YtzXz7mQ4efC7Eh69abHc5kmmmaQU6Z8OejgnhT+r9qxc1u4utUMfnhwWXpIKeCW8lCzTKJSIyRykQkpwwNpIUCEcUCGWRYCjChuZyu8uQHDS2VDobR8ZWL9DpNzJ7lteWsHlROfc/3c4HXreQPB1BP7eZJsROpUKe9vGQZ2Lw8+pxrvxS8DVBWZM1zuVrTAVAjdZbYZmOXxcRmacUCElOWF5bQn6eg0BHhJt0mkpWONU7xLHoEO/TuJjYwJ3noMjtzM6RMY3tyCy7e2szH7r/BZ44cEpL/rNdMgmxkxNCno5zR7uiIRgdOve/KSyzgp2KJbD4GqvTZyzs8fqhUHv8RERylQIhyQkup4M19V6CYS2WzhZj+4PWN+qJqNjD53FnVYdQfDRJ79CoRihl1l27soYF3gLu3dmmQMhupmkFPj1t0NOeCnrax7t7omFIvGrU1VNphTw1q2D59eBtHA98fH4taxYRkQtSICQ5o9Xv4/6n2xlJJHGpJd52gVCEPIfB6gXqEBJ7eAtdRAezZ4fQmX6rFi2VltmW53Rwx5Ymvvjzlzh0so9lNQoQMireb4U9PW3WW2TCr3vaYXTw3NsXVVvhTl0rrHxrKuhpGt/r4y6a/T+DiIjMCwqEJGe0+H3811NHeelEH2vqFULYLRiOsKKuhAKX0+5SJEf5PC56sqhDqCs2DKCl0mKL2y5t5J+feJntO9r4+7evtbucuS2ZgL7jE0KetnMDoP5T597eXQxlC62RriXXQlmz9eZrsgIfV+Es/wFERCRXKBCSnLF+bLF0KKJAyGbJpMmeUJSbWrXPSezj87h46UTfxW84S9QhJHYqL3Jzc8sCfvBCJ5+7fsXZxetyAUO9rwp82sY7fSId5451GQ7rNK6yZutI9rHAp2yh9d5TrqXNIiJiCwVCkjMaygopL3ITDEW4Y3OT3eXktCNdMfqGR2nxa3+Q2MfncRPNoqXS3f1jHUIKhMQe27Y289CuMA89H+KPX7fI7nLslRiF3vCFu3wGz5x7+wKfFe7UrIYVN04IfZqt0S6nAjYREck+CoQkZxiGQUuD9+wyY7FPIBQFxru2ROzgK3QRGRjBNE2MLLg63x0b6xDSyJjYY029lw1NZdz3dDvvu3whDof93xcZNTIEPUfhzJFz33rarBO7zMT4bR1547t7Vt18buBT1mSd5CUiIjLHKBCSnNLqL+M3h07TNzRCSYGu1tklGIpQnJ/Hoqpiu0uRHObzuBhNmvTHExTn2//jsCsWx+U0KC2wvxbJXdu2NvPx7+zmyUOnuXpFtd3lzFx84NzQp/uV1K+PQm8nYI7ftrDMGuOq3wBr3nlu6FOyAJz63hQRkflFP9kkp7T4vZgm7O2MsnVxpd3l5KxAKMLaei/O+X71WbKar9AazYoMxLMiEDrTP0xFUX5WdCtJ7rphTS3VJfl8a0fb3AmEhmPnCX1Sv+87du5tPRVQvgiar7Den31baO3yERERySH2PwMWmUUtDeOLpRUI2WNoJMGB47184PU5vp9CbOf1WF2CkYERGrJg2qM7Fqdc+4PEZi6ng9s3NfGVJw5x5HQsezo5h/vOH/icOQKxE+fetqgKyhfDoqvGw56KxVb3T6FGlUVERMYoEJKcUlbkprnCQ1B7hGyz/3gvo0nzbDgnYhdf6hSlbFks3dUf1wljkhXes8nP1379MvfubOd/3bR69u54KDoh9Jm41+cV6D997m2La6zQZ8m144FP+SIr9Ckonb2aRURE5jAFQpJzWvw+nj7SbXcZOSvQYYVxrVooLTbzeazwpWcgfpFbzo7u2DCLKovsLkOE6pIC3ry2jod3hfnsdcvTO1I5MpQKfA5D98vQddj69ZlXYOBVP5tLFlghz7LrrfcTQ5/8LOlcEhERmcMUCEnOaWnw8aPAMU5Eh6j1FthdTs4JhiPUlhbo715s55swMpYNzvTHdeS8ZI1tW5v5UeAYj7wQ5s4tzVP7j00Teo+lAp+XU+HPYevXkQ7OWeRcUgcVS2DFW8YDn/JF1iJntwJSERGRTFIgJDmntXF8j9D13lqbq8k9gVCEFr/X7jJE8GbRyNhAfJSBeIJyjYxJlljv97Guwcv2ne3csbnp/MvOh/tSgc8rE8Kf1O9HBsZv5yqywp6GjdDyHisAqlxivc8vmb0/lIiIiJxDgZDknFV1pbichhUIrVEgNJt6+uO0dw9w26WNdpciQoHLSaHLSSQLRsa6Y1YNlUX5NlciYjEMg21bmvncQy+wa/cuNhZ3nxv4dL187jJnwwG+RqhYCk1XpAKfpVC51OoC0ul5IiIiWUeBkOScApeTlXWlWixtg2DY+jtXh5BkC5/HlRUjY939ViCkpdJiC9O09vecHe+ydvu8vesQNxUcxfXo6PhtC8usoGfJNalOn6XW+/JFkKdAU0REZC5RICQ5qaXBxyO7O0kkTZwOXbWcLYFQBMOAtfUKhCQ7eAtdRLJgZOxM/zAAFcV6QS0ZlBiFnqNw+iXoeim10Dk16jU04SKJ0w3li3BULee5/C083F7AZ9/7FmoWrgVPuX31i4iISFopEJKc1OL3cd/T7bxyOsayGu0vmC3BUISl1cWUFLjsLkUEsDqEolnQIdSVGhnTUmlJi9Fhq9Pn9EE4fch633XI+lhiwojk2ELnNe+wun7Gdvv4msDhBKAxOsgP/s+vKWuv5gurFQaJiIjMJwqEJCeNHXkeCEUUCM0S0zQJhqNcs6La7lJEzvIVunnldMzuMs7uENLImEzJcMwKesY6fk6n3nqOgpm0bmM4rBO7KpfD0jdB1XLrrXLZpBY613kLuW51Dd99LsSnrl1GoduZ2T+TiIiIzBoFQpKTFlUWUZKfRzAU4V0b/XaXkxNCZwY50x+nJRXGiWQDnyc7Rsa6Y8MUupx43PqxLOcxcCYV/Lyq4ycaGr+Nw2V1+NSugbW3WIFP1QrrY66CGd39ti3N/HTvCX4U6OS2y3QogIiIyHyhZ56SkxwOg3V+LwEtlp41gdRC6VYFQpJFfB430YERTNM8/7Has+RMf1zdQbnONCF2ajzsOX1wvOOn/9T47fIKoWoZNG6BqrtTHT8rrC4gZ2bGcS9bWM6K2hK+taONd1/qt/V7RURERNJHgZDkrFa/j39/8ghDIwkKXGqBz7RgKEJ+noPltRrRk+zh87iIJ5IMjiRs7c7p6o9rf1CuSCahNzwe9kwMgIai47fL91phz7I3WYFPZWrUy+sHh2NWSzYMg7u3NvP5H+zl2aNn2LSoYlbvX0RERDJDgZDkrJYGH4mkyYudUTY2a1FmpgVCEdbWe3E5Z/eFjMhr8RVaHRWRgRFbA6Hu2DA1pTMb65EsY5rQdxxO7YdTB+DkfuvXXYdgZGD8dkVVVtiz5pYJ+32WQ0ktZFEnzs2t9fzDzw6yfWebAiEREZF5QoGQ5KyJi6UVCGXWSCLJi51R7tjcZHcpIufwecYDoQW+Qtvq6I7FWVVXatv9ywwN9sCpg3Bq37nhz8Sj3ItroXolbLh7fL9P1fI5c4x7odvJuy/1819PHeV4dJA6r33fLyIiIpIeCoQkZ1WXFrDAW0AwHL34jWVGXjrRx/BoUgulJet4C60xrchg/CK3zBzTNFM7hPJtq0EmaWTQGvM6deDc8Kfv2Pht8r1W8LPmHVC9KvW2cs4EP6/lzs1N/MfvjvDA0x189rrldpcjIiIiM6RASHJai99HINRjdxnz3tjy7vUKhCTLjHUIRQfsO2msb3iUeCKpHULZJDFqHd1+ct+54c+ZI+PHuTvzrQ6fha+HmgnBT2l9Vo16pZO/3MM1K2r4zrMdfOwNS7R/T0REZI5TICQ5rdXv42cvnqA7Nqyr8xkUDEUoL3LTUKYRA8kuY4FQj42BUHfM6k7SKWM2ME3o7UyFPvvHR71OvwSJYes2hgPKF1mBz5pbrNCnZjWULQRn7j2NuntrM08cOMlje47zzg0NdpcjIiIiM5B7z2REJhgbYdoTjnL1imqbq5m/AqEILQ1eHVUsWceXBSNj3TEreFAonWEDZ8aDn7PhzwEYnjA2XFpvBT6LroTq1davq5aDS2H2mMuXVLC4qojtO9t4xyX1elwXERGZwxQISU5bW+/FYcDuUESBUIb0DY1w+HSMt6xbYHcpIn+g0O0kP89h68hYd3+qQ0gjY+mRGIXul+HEi3BiD5x80Qp++o6P36bAawU+6261Qp/q1VC9AgrL7Kt7jjAMg21bm/mrH+1jdyjCJY36OxMREZmrFAhJTivKz2NZTQnBUOTiN5Zp2dsZxTShxe+1uxSR8/J5XEQ0MjY3DUWtPT8n9o6/nTowPu7ldKc6fq5O7flJhT9ZdqT7XPOOSxr44s9f4t4dbQqERERE5jAFQpLzWhp8PL7/BKZpqvU9A8YWSrc0aKG0ZCdfoTsrRsbK1SF0YaYJkQ6r22di+BNpH7+NpwJq18KmD0LtOqhZA5VLwemyr+55qjg/j1s2NPDAM+184caVVJcU2F2SiIiITIMCIcl5LX4f330+RHv3AM2VRXaXM+8EQxGaKzyU6cWuZCmv3R1C/XFKCvLIz9OJTQCMDMHpg1bgczYAenHCrh8DKpZA/QbYsG08/FHXz6y6a0sT39rRxneeCfGJa5faXY6IiIhMgwIhyXmtqcXSwXBEgVAGBENRNi0qt7sMkQvyFbroODNg2/1398epzNWF0v1d1p6fEy+OB0CnXwIzYX3eVWSd6LX2Fqv7p3atNfbl1mO13RZVFXPlsioeeKadD1+1GHeew+6SREREZIoUCEnOW1ZTTKHLye6OCDe31ttdzrxyIjrEid6hs6GbSDbyeVwEw/aOjM37cbFkArpfgZN7xzt+TuyF2Inx25TWW4HP8jePhz9lC8GhoCFbbdvaxPu+9Tw/33eCm1p0cICIiMhco0BIcl6e08Haei/BsBZLp9vZ/UEKhCSL+Txu25dKN1V4bLv/tIsPpEa99oyHPyf3weig9XlHHlStgMVXW6NeY+GPR52Ec81Vy6ppqvCwfUebAiEREZE5SIGQCNYJWNt3thMfTartPY2C4Qgup8GqulK7SxG5IJ/HxfBokqGRBAWu2d/j090/zCVNc/SkpuGYFfocD8CxABwPQtdLYCatzxf4rLBn4x9Z72vWQNVyyMvREbl5xuEwuHNzE3/32AFe7Iyypl6nSYqIiMwlCoREsDpY4r87ysETvazTaVhpE+iIsLKu1JYX2SKT5Su0xrUiAyPUemf332oyaXKmP07lXDhyfjhmdf0cC4wHQF2HANP6fHEN1LXCqpus93XrrDEwLXqe127d6OfLvzjE9h1tfOnWFrvLERERkSlQICTChMXSoYgCoTRJJE32dkZ5+3rtZZLs5vNYx5JHBuPUemf3+OzI4AhJMwuPnB/qPTf8OR6Erpc5G/6U1Fmhz5p3pMKfFiits7VksYe30MU7LqnnoV1h/vzNK7Pv37KIiIhc0KQCIcMwrge+CjiB/zRN83+/6vMfAj4KJIAY8EHTNPenuVaRjKn3FVJZ7CYQinLnFrurmR9eOR0jNjyq/UGS9XyFqUDIhj1C3bFhACrsPGVsKArH90wY+wpA9+Hxz5csgAWtsOYW631dK5TU2FevZJ27tjTzwDMdPPhcBx+5aond5YiIiMgkXTQQMgzDCdwDvBEIA88ZhvHoqwKfb5um+e+p298E/BNwfQbqFckIwzBoafARCPXYXcq8MbZQWieMSbbzeuwLhLpi1ulmlbPVVTEYsbp9JoY/Z46Mf760wQp91t2WCn9aoLh6dmqTOWt5bQlbFlVw/852Pvi6ReQ5tYtPRERkLphMh9BlwGHTNI8AGIbxIHAzcDYQMk2zd8LtizjbUy4yd7T6ffzq4Cl6h0YoLXDZXc6cFwxFKMnPY1Flkd2liLwmn8cKY6KDs3/0/Jl+6z4z0iE02GOFPxN3/vQcHf+8128FPq3vhbr1qfCnKv11SE7YtrWZD92/iycOnOL6NbV2lyMiIiKTMJlAqB4ITfh9GNj06hsZhvFR4NOAG3jD+b6QYRgfBD4I0NjYONVaRTJqbLRpbzjK5Usqba5m7guEIqzze3E4tFBWstvYyFiPHSNj/dbI2Iz3rgxG4Nhu620s/Im0j3/e12iNel1yZ2rnTysUVczsPkUmuHZlNfW+QrbvaFMgJCIiMkekbam0aZr3APcYhvFe4H8C285zm68DXwfYuHGjuogkq7SklkkHQhEFQjM0NJLg4Ik+PnTlIrtLEbkoj9uJy2nYNjJmGFDmmUJX4mgcTr4Inbust/Dz0P3y+Od9Tda414a7x3f+eMrTXrvIRHlOB3dsbuL//PwgL53oY3ltid0liYiIyEVMJhDqBPwTft+Q+tiFPAj820yKErGD1+NiUWXR2d03Mn37jkVJJM2zIZtINjMMA5/HbcvIWHdsmDKP+8I7V0zT2vEzFv507rIWQCesziKKqqFhI7S8G+o3KPwRW912qZ9/fuIQ23e28f+/fa3d5YiIiMhFTCYQeg5YahjGQqwg6DbgvRNvYBjGUtM0xy5P3gi8jMgc1OL38dThLkzTxDA06jRduzu0UFrmFl+hy6ZTxuJUTBwX6++Czheg8/nxAGgwteze5YEF62HTB6F+oxUAeRtAj1WSJcqK3NzUsoBHXujkf1y34uzCdhEREclOFw2ETNMcNQzjY8DjWMfOf8M0zX2GYfwN8Lxpmo8CHzMM41pgBOjhPONiInNBq9/HI7s7OR4dYoGv0O5y5qxgOMoCbwHVpQV2lyIyKT6PDYHQyCCVPQG28BI8vN0Kf3rarM8ZDqhaCSvfagU/9RuhagU40zbpLZIR27Y289CuMA/tCvHHr9PYsIiISDab1DNL0zR/Cvz0VR/7qwm//kSa6xKxxdhi6WAookBoBoKhyNm/S5G5wFvopjMymLk7SCah61Cq6yfV/XNyH3+XHLU+39EA9ZfAxveNj37lF2euHpEMWVPvZWNTGffubOd9ly/UwQIiIiJZTJcaRSZYWVeC2+kgEIpww9o6u8uZk7pjw3ScGeD2TTpJUOYOn8fF/mPR9H3BvhPWsuexAOhYAIZ7rc/ll1qjX1s/zieeyqN+zeV87par0nffIjbbtrWZP/3Obn5z6BRvWFFjdzkiIiJyAQqERCbIz3OyckGpFkvPwJ6w9aJaHUIyl/gKXUQGpzkyNhyzjnufuPi5N3X2giMPatbA2lut5c/1G6BiKTgcjCSS/OiJn/EpX336/iAiWeD6NbVUl+TzrR3tCoRERESymAIhkVdpbfDy0K4wiaSJU63uU7Y7FMFhwNp6r92liEyaz+NiIJ5geDRBfp7zwjccO/Ur9CyEnrHenz4AZtL6fFkzNG6xgp+GjVC7FlznHz/t6bdONSsvdp/38yJzlcvp4PZNTXzliUO8cjrG4iqNP4qIiGQjBUIir9Li97F9Zzsvn+pjRW2p3eXMOcFQhGU1JRTl6+FF5g6fxwplogMjVJdOCIRGhuB4YDz8CT0D/aetz+WXQsOlExY/b4CiiknfZ1fMCoQqixQIyfzznk1+vvbrl7lvZzv/66bVdpcjIiIi56FXbCKv0jphsbQCoakxTZNgOMJ1q2rtLkVkSnyp47H7ujupDu8bD4COByBhBTeUL4Il14J/k/VWtQIcjmnfZ3f/MAAVxfkzrl8k21SXFHDj2joe3hXms9ctp1gXCURERLKOfjqLvEpzRRGlBXkEQlHefand1cwt7d0DRAZGtD9I5oZkAk4dgNDTXLbvdzzp3kHT9lPW55z51uLnTR+Cxs3QcBkUV6X17rtTHUIVGhmTeWrb1mZ+GDjGD14Ic9eWZrvLERERkVdRICTyKg6HQYvfp8XS0xAMW39nrQqEJBsN9VonfnU8Y3UAhZ+HeB8AZYVV7DKbGVr3Ryy/9Fqoa4G8zHbudPePjYypQ0jmp/WNZbQ0eNm+o407NzdhGNrLJyIikk0UCImcR6vfx7/+5hUG4qN43Po2maxAKEKhy8myGi0QFZuZJvS0pfb+PG29P7kPMAEDalbDunelxr8u44RZzYe/9Bu+2LiO5X7/rJTYHRsmz2FQWqjHGJm/tm1t5tPfC/LU4S5etzS9XXYiIiIyM3oWKnIeLQ0+EkmTFzt7uWxhud3lzBmBUIS19V7ynNPfqyIyLaPDcDxodf50pAKg/tT4l7vEOvHrqs+D/zKo3wgF5+4H8w1ZR85HB6Z59Pw0dMfilBe51TUh89qN6+r4+8cOsH1HmwIhERGRLKNASOQ8WiYsllYgNDnx0ST7jvWybUuT3aVILoidTi1+Ti1/PrYbEtaSZsqaYfHV48ufq1eC4zWOkgeK8/NwOgx6BuKZrz2lu39YC6Vl3svPc/Keyxq55zeH6egeoLHCY3dJIiIikqJASOQ8qkryqfcVEghrj9BkvXSij/hoUgulJf1MEyId0P771NsOOHPE+pzTDXWtcNkHxpc/l9RM+S4Mw8BX6CIyOIsdQv1xKrVQWnLA7Zsb+bcnX+H+Z9r5wptX2l2OiIiIpCgQErmAVr+PQIcCockKhHoALZSWNDBN6D5shT9tqQCoN2x9rsAHTVthw93g32wtf3YVpOVufR7XrI+MNZarW0LmvzpvIdevruW7z4X41LXLKHS/dseeiIiIzA4FQiIX0Or38dje45zuG6aqRGMdFxMIRaksdlPvK7S7FJlrkkk4fSAV/qQCoLH9P0XVVgDU/EnrfdVKcGRmR5XP4yYyOIsjY7FhKnTCmOSIbVubeWzvcX4Y6OQ9lzXaXY6IiIigQEjkgsZGn/aEI1yzcuojKLkmGI7Q0uDTgly5uMQonNhjBT9jAdBQqhuvtMHa/9O0FZqugIrFMEv/pnyFLk70Ds3KfQ2NJOiPJ6jQyJjkiEuby1hZV8r2HW3cdqlfPytERESygAIhkQtYU1+K02EQCCkQupjeoRFeOR3j5pYFdpci2Wg0bi19bn/KCn86noF4n/W58kWw8i1W+NO0FcrsW0ru9bg4eKJvVu6ru9/qRNIOIckVhmGwbUsTn//BXp45eobNiyrsLklERCTnKRASuQCPO49lNSUEQtojdDF7w1FMEy2UFsvIIISfs8Kftqcg/DyMDlqfq1oB696V6gC6HErr7K11Al+hm+gsLZXujlknopVrZExyyM2t9fzDzw5y7842BUIiIiJZQIGQyGto9Xt5bM9xTNNUe/trGAvNWhoUCOWk4T7r+PexBdCduyA5AhhQu9ZaAN18OTRugaJKu6u9IJ/HRWx4lJFEEpczM3uKxnTHrA4hjYxJLil0O7ntUj//+dRRjkUGWaCdcyIiIrZSICTyGlr9Pr7zbIijXf0sqiq2u5ysFQhFWFRZhNfjsrsUmQ2DPdC+c/wY+ON7wEyAIw8WrIctH7G6f/yboHDuhIS+1L/fyMBIxhfJd6U6hCrVISQ55o7NTfzH747wwDPt/Nl1K+wuR0REJKcpEBJ5DWMjUMFwRIHQBZimSSAU4Yol2dv5ITPU3w1tvxtfAH1yH2CCMx8aNsLrPmONgDVcCvlz9/vEW2gFQtHBeMYDoTP96hCS3OQv93DNyhq+82yIP33DUgpcOoJeRETELgqERF7D0uoSPG4ngY4Ib1/fYHc5Wel4dIjTfcO0an/Q/DEcs4Kfo09abyf2Wh93eayun6v/wgqA6jeAq8DeWtOozGOFM5GBzO8R6u6Pk5/nwOPWi2HJPdu2NPPL/Sf5yZ7j3LJBP1tFRETsokBI5DU4HQZr670EwlG7S8lawbH9QQqE5q7RYWsJ9NHfwpEnofN5SI6C020FQG/4n7DwSmsczDl/xwInjoxlWldsmMrifO0mk5x0+ZIKllQXs31HG++8pF7fByIiIjZRICRyEa1+H9/8fRvDowny83Q1/9UC4Qhup4OVdSV2lyKTlUzA8aAVAB190toHNDoIhsMKfbb+qRUANW4GV+4sffUVpxy3tgAAIABJREFUpjqEZuGkse5YXONikrPGjqD/yx/tY3cowiWNZXaXJCIikpMUCIlcRIvfRzyR5MDxPo1FnUegI8LKBaUKy7KZaULXy1b4c+Q31lHwQ1ZnF1Ur4ZK7YNGV1iLoObQEOt28ZzuE4hm/rzP9cSoVCEkOe8clDXzx5y+xfUebAiERERGbKBASuYixECgYiigQepVE0mRvZ5RbtQMi+0RC4x1AR38Lfcetj3sbYeVbYOFVsPD1UFJja5nZpCQ/D4cB0VnpEBpmWY266iR3FeXnccvGBu5/up2/uHEl1SXzZx+ZiIjIXKFASOQi6rwFVJXkn92VI+MOn4oxEE9of1A26O+GttQOoKNPwpkj1sc9lVbws+hKawysrBm0r+O8HA4Db6GLngx3CJmmSZc6hES4a0sz3/x9G99+poNPXrvM7nJERERyjgIhkYswDINWv4+AAqE/EAj1AKhzyg7Dfdbun6NPWiHQydRJYO4SaL4cLv2AFQJVr1IANAU+jzvjS6Vjw6PER5PaISQ5b2FlEVcuq+KBZzr4yFVLcOc57C5JzsM0TV7s7GVwJGF3KSJTVlKQx8q6UrvLkAtIJE2ORQbxl3vsLiVnKRASmYRWv49f7j9JdGDk7J4RgUAoSmlBHs0VRXaXMv+NnQQ21gHUuSt1Elg++C9LnQR2VeokMD20T5fP48r4yNiZfqsDqaIoP6P3IzIX3LWlifdvf56nDp/mDSs0wpqNdh7p5r3/8YzdZYhM2w8+slW7yrLUI7s7+dzDQX76idexolbBnR30qkFkEloarA6YPZ0RXre0yuZqskcgFKHF78PhUAdK2iWTcCJoLYE+8iR0PP2qk8A+bnUA+Tfl1ElgmeYrdNEVy+zI2NjXL1eHkAhbFlfgdBjs7ogoEMpSzx3twTDgG3dfitupLi6ZOxJJk48+8IKW12exZ450kzRh+452/uEda+0uJycpEBKZhHV+L2CdqKVAyDIQH+XQyT6uXbnY7lLmj76T8Mp/wyu/st4PdFsfr1oJG7ZZO4Catub0SWCZ5vO4OXw6ltH76I4NA1CpDiERPO48ltWUaCw7iwXDEZZUFXP18mq7SxGZMi2vz27BsPXY/8PdnXz++hWaxLCBAiGRSSgtcLG4qujsg5bAvmO9JJLm2e4pmYbROISegcNPWCHQidQeoKIqWHItLL4GFl2lk8BmkbfQlfEdQt1jI2PqEBIBrLHsx/YcI5k01XGaZUzTJBCK8IYVCoNkbtLy+uzVNzTCy6diXLe6hsf3neR7z4f4wOsX2V1WzlEgJDJJLX4fvz3UhWmaGFrSS6DDCsd0wtgUnTkCh1MdQEd/C/EYOPLAvxmu+SsrCKpZCw615dvB53HRNzTKaCJJXoZGI8Z2CJUXKRASAWj1e/nOsx20dfezqKrY7nJkgnDPIGf64zo8QuashZVFXLVcy+uz0d7OKKYJ77mskTP9ce59uo33XbEQpy4MzCoFQiKTtN7v4wcvdNIZGaShTJvwA+EI9b5Cqko09vKahmPQ9tR4F9DYcfC+Jlj3LisAan4dFGiRXjbwFVqtyr1DoxkLbLpiwxTn51Hgcmbk64vMNWMXFgKhiAKhLLM7NcqnQEjmsm1bmvmjbz3Hz148zs2t9XaXIymBCY8v27Y287Fv7+bXB09x7Sp1xs8mBUIikzT2hDUYiioQAoKhiJ4gno9pwskXU11Av7KOhk+OgMtjBT+bPmSFQOWLdBx8FvJ5rBCoZyCesUCoOxbXuJjIBEurS/C4nQRDEd5xSYPd5cgEwVCE/DwHy2tL7C5FZNquXFZFc4WH7TvaFAhlkWAoQnOFB5/HzXWra6ktLWD7zjYFQrNMgZDIJK2oLcWd5yAQ6uHGdXV2l2Orrtgw4Z5Btm1ptruU7DBwxhoBGxsFi52wPl69GjanAqDGLZCnbqpsN7bMMJN7hLr7h6nQuJjIWU6Hwdp6rxZLZ6FAKMKaei8unS4mc5jDYXDnlmb+9if72RuOsrbBa3dJgnWRffOicgBcTge3b2rky788xOFTMZZUq1t0tujRXWSS3HkOVi8oJRiK2l2K7YKhHN8flBiFjmfgv/8e/uMN8MVF8P33w0s/tU4Bu/ke+PQB+MgOeNPfWYuhFQbNCWWpDqHoYOaOnrc6hPTvQWSi1kYf+4/3MjyasLsUSRlJJHmxM6rDI2ReuHVjAx63k+072+wuRYAT0SFO9A6d81riPZsacTsd3Lezzba6cpE6hESmoKXBx3efC2V04excEAxFcDoM1tTn0N6baHh8DOzIb2AoCoYD6jfCVZ+3uoAWrAeH9sLMZWM7hDLbIaQFrSKv1trgYyRhcuB4n74/ssRLJ/oYHk3S2qj/HzL3lRa4eMcl9Xzv+TB/fsMKXZixWeA8F5cri/O5cV0dD+8K89nrllNSoCPoZ0PuvqIVmYb1jT4GRxIcOhmzuxRb7Q5FWFZTgsc9jzPlkUErAPr5F+CeTfCV1fDjj0PoOVj5Vrj1W/Bnr8Af/9IKhBo2KgyaB3wZHhlLJk3O9GuHkMirjYUOgY4emyuRMWcXvqpDSOaJbVuaiY8mefC5kN2l5LxAKILLabCq7tyLy9u2NtMfT/D9XWGbKss98/jVnEj6jbVNB8MRVi3Ioe6YCUzTJBiKzM89St2vwMu/sE4Ea3sKRofAmW+Nga2/w+oCqlqhZdDzWEmBC8OAyGBmAqHo4AiJpElFka5MikxUW1pAdUk+wbDGsrNFMBShvMiNv7zQ7lJE0mJpTQlbF1fwwNPt/MnrF+V0t7/dgqEIK+tK/+DE1Va/jxa/j3t3tnPXlmYcOoI+4xQIiUxBU4UHn8dFMBThPZc12l2OLY529dM7NDo/WvoToxB6Bg79DA49Dl2HrI9XLIUNd1sBUNPl4NapcrnC6TAoLXARHcjMDqHufuvrqkNI5FyGYdDi92mxdBYJhCK0NHgxdBFE5pFtW5v5k/t28cv9J7lh7Ty8uDkHJJIme8IR3rnh/KdK3r21iU99N8jvDndx5bKqWa4u9ygQEpkCwzBoacjtJ6zB8BxfKD3YY42CHfo5vPxLGIqAwwXNV8DG98Oy66B8od1Vio18HlfGOoS6Y8MA6hASOY9Wv49f7j9JZCCOz6PQ1E59QyMcPh2bn93AktOuXVlDva+Qb+1oUyBkk1dOx+iPJy64sP7Na+v4+8cOsH1HmwKhWaBASGSKWvw+vvbfL9M/PEpRfu59CwVDUTxuJ0urS+wuZXJME7oPw0upLqCOnWAmwFMBy98My6+HRVdDQW6OAMof8hW66MnQDiF1CIlc2FjnaTAc1YsAm+3tjGKazI9uYJEJnA6DO7c08b9/dpCDJ3pZUavnf7PtfAulJ8rPc/Leyxr5l18fpr27n6aKotksL+docFJkilr9XpImvNiZm3sOdocirK334szmmd7ECBx50loI/S+XwNc2wi//0uoGuuKT8P4n4LMvw9v/DVbdrDBIzuHzuDM3MjbWIaRASOQPrG3wYhjWbgmx19kXbFooLfPQuzf6yc9zsH1Hu92l5KRAKEJJQR6LKi8c9Ny+uQmnYXDfTv0/yrTca28QmaGxJ0eBUIRNiypsrmZ2DY8mOHCslz+6vNnuUv7QwBlrIfShn1sjYcO94HTDwtfD5o9Yo2C+3Nz7JFPj87ho6+7PyNfuillBU7nGYUT+QGmBi8VVxQqEskAwFKG5wkNZkR6rZP4pK3LzttZ6fri7k89fvwKvR8ebz6ZgKEJLg+81F0bXlBZw3Zpavvd8iE+/adn8PtnYZvqbFZmiiuJ8/OWFZ3fp5JKDx/uIJ5LZsT/INOH0QSsAeunnEH4WzCQU11hdP8tvgIVXQn6x3ZXKHOMrdGXs2Pkz/XF8HpdONhG5gFa/j18fPIVpmlpmbKNAKMLmHLvoJbnlrq1NfPf5EN97PsQHXr/I7nJyxmA8wcETfXz4ysUXve3dW5t5bM9xHtndye2bmmahutykQEhkGlr9ZexqO2N3GbNurIXctp0Co8PWcfCHHreCoEiqjbR2Hbz+z6wuoLr14NCLbZk+r8dN75B1PHy6RyO7+4ep0BV3kQtq8ft4eFeYcM8g/nKd8GiHE9EhTvYOa3+QzGurF3i5tLmMe59u431XLMzuVQjzyL5jURJJc1IXlzc2lbGqrpTtO9p472WNukiQIQqERKahpcHLj4PHONU7RHVpgd3lzJpgKEJVST513ln8M8dOp0bBfgav/BriMcgrgEVXwRWfskKg0gWzV4/Me75CF6ZpnbKT7pOOumJxKop1wpjIhbROGMtWIGSPQKgHmMOniYpM0ratzXzs27v59cFTXLuqxu5ycsL4QmnvRW9rGAZ3b23mc9/fw84j3WxdXJnp8nKSAiGRaZh4EsobV+VOIBQIWzO/GU3oTRNO7rMCoEOPQ/h5wISSBbD2Vlh2vbUXyK0XCpIZvtQugchA+gOh7tgwy2vnyAl9IjZYUVeCO89BMBThrS0K++0QCEVxOQ1W1enABZnfrltdS21pAdt3tikQmiWBUIR6XyHVJZN7/XRT6wL+4WfWEfQKhDJDgZDINKxJnbIVCPXwxhz5ARIdGOHI6X7eeUlD+r/4yBC0/W78aPjesPXxBZfA1V+wuoBq14FaRWUWjAVCPQNxmknvUadn+uNUFKlDSORCXE4HaxaUnr2KLLMvGIqwsq6UApfT7lJEMsrldHD7pka+/MtDHD4VY0m19k5mWjAcmVR30JgCl5N3X9rI13/7Cp2RQep9hRmsLjdp0YbINBS4nKyoLSEYyp2j5/d0pvkI2qFe2PswfO8u+OIieOAWCH4HFrTCTf8CnzkEH/w1XPk5qGtRGCSzxltodQVFBtO7WHo0kaRnYIRy7RASeU2t/jJePBZlJJG0u5Sck0ia7El1A4vkgvdsasTtdHDfzja7S5n3umPDhM4MTnk/2R2brVOC739aR9BngjqERKapxe/jx8FjJJPmax6bOF+MHQO8bgqp/h/o74KDj8HBn8CR30Aibp0K1vJuWH4jNF8BrtwZwZPsVJbqEIqm+aSxMwPWkfOVxQqERF5Li9/LN36f5NDJPlYvmMHPHJmyV07H6I8ntFBackZlcT5vWVfHw7vCfPa65ZQU6Aj6TBk7oXmqgXNDmYdrV9bw4LMdfOKapepeTDN1CIlMU6vfR9/QKEe6+u0uZVYEQhEWVxVROtUflNEwPP3v8M0b4R+Xwo8/Dqdfgss+CO/7BXz6ILzlK7D0WoVBkhXG9gZFUgFOunTHrK+npdIir20sjNDY2OwLdIwtfFUgJLlj29Zm+uMJvr8rbHcp81qgI4LDgLUNUw/6797aTM/ACI8Gj2WgstymDiGRaTq7WDoUmfczx6ZpEghFef2ySS5z63oZDjwKB34Mx3ZbH6teZR0Nv+ItULtWI2CStUoLrB+N6R4ZO9OfCoQ0MibymhrLPZR5XARDEW7f1GR3OTklEI5QUpDHosr07k8TyWYtfh8tfh/37mznri3NOdH5b4dAOMqymhI87qlHEFsWV7CsppjtO9q4dUODjqBPI3UIiUzT4qpiitzOs+2P81lnZJCu2DDrL3TF0DThWAB+9bdwzyb42kb41d+A4YBr/xd8bBd8ZKe1ILpOy6Elu+U5HZQU5BFJ88hYV2wYgAqNjIm8JsMwaPH71CFkg0CHtT9IL4gl19y9tYkjXf387nCX3aXMS6ZpEgxFpj2OahgGd21pZt+xXna196S5utymQEhkmpwOg3UNufGEdWx59jkt5MkEtO+En38B/nkdfP1KeOqfoKgKbvgSfGo/fOC/4YpPQeUSmyoXmR6fx0U0zR1CZ0fGdMqYyEW1+n28fCpGbHjU7lJyxmA8wUsn+6Z0ApDIfPHmtXVUFrvZvqPN7lLmpbbuAaKDIzPaT/b29fWUFOSxfaeWS6eTRsZEZqDF7+O/njrC0EhiXi84C4YjuPMcrKgqgMNPWKNgBx+D/tPgdMOiq63TwJa/GYoq7C5XZMZ8he707xDqH8bpMPAWamGlyMW0+H2YJuwJR9i6eJLjyjIj+45FSSRNWv1ldpciMuvy85y897JG/uXXh2nv7qepQmOT6TR2OM1M9pMV5efxro1+tu9o4+SNK6kp1e7RdFCHkMgMtPp9jCRM9h/vtbuUzIkP4Dr0GF8v+r+4/2kZ3P9O2POQdSLYLd+AP3sFbv8eXHKnwiCZN3weFz3pPmWsP055kVujGCKT0NowtqcvanMluSNw9gWbOoQkN92+uQmnYXCfOlDSLhCK4HE7WVZTMqOvc+fmJhKmyQPPdKSpMlGHkMgMTFwsfUnjPLqiNhiBQ4/DgUcxD/+KPxsdZMBZCmtvgpVvsTqCdCKYzGPeQhfhnsG0fs2uWFwLpUUmqazITVOF5+xVZcm8QChCva+Q6hL9fJfcVFNawPVravne8yE+/aZl01p+LOcXCEVYU+/FOcOLYs2VRVy1rIpvP9PBx65egjtP/S0zpb9BkRmo9RZQU5o/P56w9p2E578B970dvrQYHvkgdO6iZ/m7eE/8L/jlm5+Ct90Dy29QGCTzXpknAyNjsWEtlBaZgpYc2dOXLQKhiLqDJOdt29pM79Aoj+zutLuUeSM+mmT/sd4LH04zRdu2NtMVG+ane4+n5evlOgVCIjPUOpdPQulph533wDeuhy8vh598Cs4chS0fhfc/AZ/az+NNn2VncjUtTdrhILljbKl0Mmmm7Wt298e1UFpkClr9Pk70DnEiOmR3KfNeV2yYcM8gLQ3pecEmMldtbCpjVV0p23e0YZrpew6Qyw4c7yWeSM5of9BEr19axcLKIr6lBeBpoUBIZIZa/D7augfS3k2QMT3t8NQ/w/99PXx1HTz+BRjug6s+Dx/eAR/fDW/8G/BfCg4HwVAEn8dFU4XH7spFZo230EXShL40nnB0JhZXh5DIFIy9eJizF13mkD1h6+94JicAicwHhmFw99ZmDp2MsfNIt93lzAvB8MwXSk/kcBjctaWJQCgyP6Y0bKZASGSGzi6+DGfx4sveY7DzX+E/r7VCoCf+GgwnvPFvrQDow7+3AqGa1WCcO9sbCEVoafBhGFqEK7nD57GCm2iaFksPjSToGx7VDiGRKVi9oJQ8h3H2xYRkTqAjgsOANfUaGRO5qXUBZR4X9+7Qcul0CHREqCrJZ4E3fSsnbtnQQJHbyfadbWn7mrlKm7JEZmhtgxfDsB7srlxWZXc542Kn4cCP4MVHoP33gAk1a+Gav4bVb4fyhRf9Ev3Doxw62cebVtdmvl6RLOJLHQ0fGYzTyMy74870Wx2EFcUaGROZrAKXk5V1pQQ6FAhlWiAcZVlNCUX5emkgUuBy8u5LG/n6b1+hMzJIva/Q7pLmtEA4/ReXSwpcvHNDAw8+G+ILb15JpZ5fTZs6hERmqKTAxZKq4uy4gjnYAy/cB/e+zdoJ9NhnoP+U1f3z0efgw0/B6z49qTAI4MXOKEkTWrVkUnKMz5MKhNLUIdQdSwVC6hASmZJWv4+9nVESadznJecyTZNgKKJxMZEJ7tjcCMD9T6tLaCaiAyMcOd3P+sb0P77ctaWJeCLJg8/qCPqZUCAkkgatfh/BUMSe5XPDfbDne/Dtd8OXlsKjH4Oeo3DFJ+FDv4ePPmsFQlXLpvylx/Y2aMmk5JqxQKgnTbvBuvuHAXUIiUxVi99HbHiUI6djdpcyb7V1DxAdHFEgJDJBQ5mHN66q4cFnOxgaSdhdzpy1pzNzryWWVJdwxZJK7n+6g5FEMu1fP1coEBJJgxa/j+7+OOGewdm5w/gA7HsEvnsnfGkJ/OADcGIvbPoT+MCv4eMBuOavoHbNH+wEmopgOIK/vFAvYiXnnN0hNKgOIRE7jXWo7tbi0IwJhHqA9C18FZkvtm1ppmdghEeDx+wuZc4aW/q8tiEz0wbbtjZzoneIX+w7mZGvnws0KCySBq0TTkLxl2foNK7RYTj8K3jx+/DSz2CkH4qq4ZK7YM07oeEycKQ34w2Gohlp8RTJdt7CNI+Mne0QUiAkMhWLKospyc8jGIrwro1+u8uZl4KhKIUuJ0uri+0uRSSrbFlcwbKaYrbvaOPWDQ06YGUaAqEIi6uKzj6vSrc3rKimoayQ7TvauHFdXUbuY75Th5BIGiyvLSE/z5H+o3ETI3D4CfjhR6xxsAffA6/8CtbdCnc9Cp85CG/+EjRuTnsYdKpviM7IoFrIJSe5nA6K8/PSukPInWd9TRGZPIfDYJ3fq6PnMygQirC2wUueUy8LRCYyDIO7tjSz71gvu9p77C5nzjFNk0AomtHuQ2fqCPpn286w/1hvxu5nPtMjv0gauJwO1tR7z7ZFzkgyAUd/Cz/+JPzjMrj/nXDgx7DiRrj9Yfjsy/DWr8KiK8HhnPn9XUAwFAVQICQ5y1voIjKYrh1CcSqL3Lq6KDINrX4fB0/0aY9HBgyPJth/rFc/60Uu4O3r6ykpyGP7Ti2XnqrOyCBdsWHWZ/jx5V0b/RS4HNy7sy2j9zNf6VKlSJq0NPj49rPtjCSSuKZ6lS2ZhPBzsO8H1m6g2ElweWD5DdY42OJrwFWQmcIvIBiK4HQYrF6gE8YkN/k8LqJp6xAaplzjYiLT0tLgI5E02XcsyoamcrvLmVcOHu8jnkgqEBK5gKL8PN610c/2HW2cvHElNaWz+3x8Lhu7uJzp/WQ+j5u3tdbzw0Ann79hxdk9kDI56hASSZPWRh9DI0leOtE3uf/ANOHYbvjF/4SvroNvvAme/yb4L4Nbvgl/dhhu+YbVGTTLYRBYLeQraksodGeuC0kkm/k8LiLpWirdH6eiSMvZRaZjLKzY3aGxsXQ7e5qoAiGRC7pzcxMJ0+SBZ3S8+VQEwxHceQ5W1JZm/L62bW1maCTJd58LZfy+5ht1CImkSWvqOMVgOMKa+tfoqjm531oM/eL3rePhHXlWB9Ab/tLqCCrI/IPmxSSTJsFwhLe2LLC7FBHb+ArdHIimZx69OxZniRa2ikxLdWkBC7wFBMNRu0uZd4KhCFUl+SzwqutB5EKaK4u4alkV336mg49dvQR3nnoqJiPQEWH1gtJZ+ftaWVfKZQvLue/pdv74dYtwOjSiP1n61yySJv7yQsqL3OffIxTthKe+Avdshn/bAk/9E5Q1wU3/Yu0Euv170PLurAiDAI5299M3NKoWcslp3jSNjJmmSXf/MJXF6hASma4Wv+/s8eiSPoFwhJYGn/abiVzEtq3NdMWG+ene43aXMieMJpLs7YzS0jB7ryXu3tpMuGeQXx3QEfRToQ4hkTQxDIOWhgknoQzHrGXQwe9YS6Ixwb8J3vyPsOpmKK62td7XEki15SsQklxWlhoZM01zRi+WBuIJhkaSlBdppl1kulr9Pn724gm6Y8NUKFxNi+jACEdO9/OO9fV2lyKS9V6/tIqFlUV8a0cbb9P3zEUdOhljcCTB+sbZey3xplU11HkL2L6zjTetrp21+53r1CEkkkatDSXUnN7JyEN/DP+4FH74IYi0w5X/A/70BXj/L+CyD2R1GATW2FuR28niKo24SO7yFbpJJE1iw6Mz+jrdMeuksgoFQiLTNrbjJhjWHqF02dM5dvGnzOZKRLKfI3W8eSAUSc+pwvPc2GP1bHYI5Tkd3LG5id8f7ubwqUnudBUFQiJpcXI//OIv+dALN3Of+x8wXn4c1r0L3vc4fDwAV/85VCy2u8pJC4YirGvwaf5WcprX4wIgMsOxsa7+YQCNjInMwNp6Lw4DAiHtEUqXsW7gtQ06TVRkMm7Z0ECR28n2nW12l5L1gqEIPo+LpgrPrN7vbZf6cTsdbN/RPqv3O5cpEBKZrtgp2HkP/PvrrL1AT/8rxoJWPhz/BN/Y9Di89avQuBnm2Fz+0EiC/cd7deKI5DxfoRUIRWd40tiZsQ4hHTsvMm1F+XksqynRlfk0CoYjLK4qwpt6rBOR11ZS4OKdGxr4SfA4XbFhu8vJaoGQPfvJKorzeUtLHd9/IUzvUHpOip3vFAiJTMXIIOx9GB64Fb68Ah7/AjiccMMX4TMv4b7ze+wvu5oXjg3aXem0HTjey0jCpNWvK4aS23weK8CZaYdQd6pDSDuERGampcFHMBzBNE27S5nzTNO0XrDp4o/IlNy1pZl4IsmDz+oI+gvpHx7l0Mk+2x5f7t7azEA8wcPPh225/7lGgZDIxSST0PYU/Ohj8I/L4Pvvh5P74PJPwEefhQ/+Bjb9CRRVAtbiy8AcvoI5Vrt2Ckiu842NjA3GZ/R1us7uENLImMhMtDb6iAyM0N49YHcpc15nZJCuWJz1CoREpmRJdTFXLKnk/qc7GEkk7S4nK+3tjJI0se3xZV2Dj/WNPu7d2UYyqQsIF6NASORCug7Df/8dfLUFvnUj7HsEVr4V7noUPvkiXPvXULX8D/6zlgYfJ3qHOBEdsqHomQuGItSU5lPrLbC7FBFbjY2M9cy0QygWp8jtpNDtTEdZIjlrbDnpXL7oki2CqV1M6hASmbptW5s50TvEL/bpePPzGRvtXWfjfrK7tzbT1j3Aky+ftq2GuUKBkMhEA2fg2f+A/7gGvrYBfvdlqFwK7/hP+OwheNu/wqIrwXHhb525fhJKMBzVcfMijC+Vjg7MrEPoTL+OyRZJh2U1xRS6nAqE0iAQ6sGd52BFbandpYjMOW9YUU1DWSHbd7TZXUpWCoQiNJZ7bH3uc8OaOqpK8rlX/48uSoGQyOgwHPgxPHi7NRL2089au4Le+Lfwqf1w5w9g3a3gLprUl1u9oJQ8hzEnn7BGBuIc7erXFUMRID/PicftTMMOobj2B4mkQZ7Twdp675z8+ZptgqEoqxeU4s7TSwGRqXKmjqB/tu0M+4/12l1O1glmwX4yd56D917WyG8Onaatq9/WWrKdfgpIbjJNCD0HP/k0fHk5fPcOCD9n7QL60FPwkR1w+cehtG7KX7rA5WRlXemcPAklGLZayFsbFAiJgDU2FpkchmqBAAAgAElEQVThKWNdsTiVOmFMJC1aG33sP9ZLfFS7O6ZrNJFkb2f07AieiEzduzb6KXA5uHdnm92lZJVTvUMciw7RYuO42JjbNzXiNAzu3akj6F+LAiHJLT1t8OQX4V82wH9dC4Fvw+Jr4PbvW91A1/091K6d8d20+n3sCUfn3CKzYCiCYcDaLHgQF8kGXo975h1CsWEtlBZJk5YGH/FEkoMndFV+ug6djDE4kmB9owIhkenyedy8fX09Pwx0EpnhaPl8MtbBmQ2PL9WlBdywto6Hng/RPzxqdzlZS4GQzH9DUXjhXvjmm60F0b/+eyhdADffY+0FuuW/YOm14MxL2122+H3Ehkd55XQsbV9zNgRCEZZUFVNS4LK7FJGs4Ct0EZ3BKWOmaXKmP06FOoRE0qLFb12w0NjY9I393alDSGRm7trSzNBIku8+F7K7lKwRDEfIcxisXpAdF5fv3tpE3/AoP9jdaXcpWWtSgZBhGNcbhvGSYRiHDcP4/Hk+/2nDMPYbhrHHMIxfGYbRlP5SRabANKF9B/zgT6y9QI/+KcROwRv+Ej65F+7+Cay/Awoys0yxdQ4+YTVNMytmfkWyic/jmlGHUO/gKKNJUzuERNKk3ldIZXH+nPr5mm2CoQg+j4umCo/dpYjMaSvrSrlsYTn3Pd1OYo5NBWRKIBRhRV0JBa7sOFn1ksYy1tSXcu+ONkxT/4/O56KBkGEYTuAe4AZgFfAewzBWvepmu4GNpmmuAx4GvpjuQkUmJXYKfv9V+NpG+OYN8NJPofW98Mf/DR97Dl7/WfA1ZryMRZXFlOTnzamTxsI9g3T3x3XCmMgEPo9rRsfOd/UPA1CpU8ZE0sIwDFr9Wiw9E8FwhJYGH4Zh2F2KyJx399Zmwj2D/OqAjqBPJk32hLJrP5lhGGzb0szLp2LseKXb7nKy0mQ6hC4DDpumecQ0zTjwIHDzxBuYpvlr0zQHUr99GmhIb5kiryGZgJefgO/eCf+0En75V1BUBW/7N/jMQXjLV6BhA8ziEx+Hw2DdHHvCOlarAiGRcd5CN9HB+LSvKnXHrHEzjYyJpE+r38eR0/1EZ7jwPRf1D49y6GSfuoFF0uRNq2qo8xawfWeb3aXY7khXP33Do1n3WuKtLQsoL3KzXUfQn9dkAqF6YOJgZDj1sQt5P/Cz833CMIwPGobxvGEYz58+fXryVYqcTyQEv/nf1l6gB94J7b+HTR+Cjz4L7/u51Rk0yaPiM6GlwcfB430MjSRsq2EqgqEI+XkOlteW2F2KSNYo87gYSZgMxKf3fXwm1SGkpdIi6TMWZuyZQ1242WJvZ5SkCeuz7AWbyFyV53Rwx+Ymfn+4m8On+uwux1bZenG5wOXktkv9PHHgJOGegYv/BzkmrUulDcO4A9gIfOl8nzdN8+umaW40TXNjVVVVOu9acsVoHPb/CO5/J/zzWisQqlwKt26HTx+0TgmrWm53lYD1YDiaNNl3LGp3KZMSCEVYU+/F5dSueZExPo+1YH26R893pTqEdOy8SPqsS40jBOdQF262GHvBtk6niYqkzW2X+nHnOdi+I7ePNw+GIhTn57GoqtjuUv7A7ZutFcf3PZ3b/4/OZzKv/DoB/4TfN6Q+dg7DMK4F/gK4yTTN4fSUJ5LS9TL84i/hK6vge3fBqQNw5efgE0G48xFY/TbIy64XXGPpeCCU/YHQSCLJi8eya+ZXJBt4C63HlekeKTs2MlampdIiaeMtdLGoqmhO/HzNNsFQhMZyDxXaayaSNhXF+bx13QK+/0KY3qHcHWUNhCKsa/DidGTffrJ6XyFvWlXLd58LzZnpjdkymUDoOWCpYRgLDcNwA7cBj068gWEY64H/ixUGnUp/mZKT4gMQfBC+cYO1JPrpfwX/JnjvQ9ZJYVd/Acqy90C76tIC6rwFc+IK5qGTfQyNJGltVCAkMtFYh1B0moulu/uH8Ra61HknkmatDT4CoYhOjZkinSYqkhnbtjYxEE/w8PNhu0uxxdBIggPHe7P68WXb1mYiAyP8KKAj6Ce66DNU0zRHgY8BjwMHgO+ZprnPMIy/MQzjptTNvgQUAw8ZhhEwDOPRC3w5kYs7vgce+wx8eQU88icQOwnX/n/wqf1w2wOw7E3gyI6jDC+m1e+bE4ulz878qkNI5BwzHRnrjsW1UFokA1obfXTFhjkWHbK7lDnjVO8Qx6JDWbffQ2Q+WNfgY32jj3t3tpHMwSPo9x3rZTRpZvXjy+ZF5SyvKeFbO9p1MWGCvMncyDTNnwI/fdXH/mrCr69Nc12Sa4Z6Ye9D8MK9cDwAeQWw6ma45C5ounxWTwhLpxa/j5+9eIIz/XHKs3hkJBiKUF7kxl9eaHcpIlnFd3ZkbPodQpVaKC2SdmMjzoGOCPU+/eyajPGFr9ofJJIJd29t5hMPBnjy5dNcvbza7nJmVTBLF0pPZBgG27Y284VH9vJcWw+XLSy3u6SsoB52sY9pQsfT8MP/196dR8dZ3/ce//xmk2a0zGjxKo0sDNgYbDRgMNghKVkb0gYSQsiOaXNLc5ukSZNzervce7v39CZN07RJe5M2aUygkDQhDQ1t1uYmTTFgYma8YMwqa+RVljUjjbbRaH73jxmpBryMZEnP88y8X+dwkEYjzfegh0fzfJ/v8mvSp9ZLD31MKhakmz5ZWhd/6xek7hs8mwyS/uukmHL5JpRUOquezqiMh/9bA4thpkJo6AJmCLk5GQx41YZVzQr5fa7/++omyXRGAZ/RFatJCAGL4aaNq7Ssqa4m15un+jNa2VyvFc31TodyTm+5arWa6wPasbPX6VBco6IKIWBBjZ4szQbafbd08qAUapSuvF26eru0+ipPJ4BealNHVD5TuoPp1jsFucmCnj4xops2rXQ6FMB16oN+1Qd9ys63ZWw0ry0XkRACFloo4NPlq5uV7CMhVKlUf0aXrWpSfdAbbfeA14QCPr17S5c+88Nn1HtyVN3tDU6HtGSS6Yyrq4NmREIBvePauL70n706lp3Qyqi7E1hLgQohLI1iUXru36WvbS/NBvre70rhmHTL56SPH5Te/Bmp4+qqSgZJUkNdQJcub3L1Hcy9/VlZK1cPgQOcFAuH5rVlbLpoNTSWZ5sPsEgS8Zj2Hs6qMF10OhTXKxat9qTZJgostvdc16WAz+junbWz3nxoNK9Dg2OeuZZ43/XdKlqrex+tnd/RuZAQwuLKHpZ+/AnpMz3SV94qvfATactd0q89Kr3/e9JV75XqGp2OclEl4jGlXLwJZSZZxUBp4MxikeC8ZggNjeVlrdTOUGlgUSTiMY1PTeuZEzmnQ3G950/mNDJZ8MQdfMDLljfX602bVumfHk9rdLLgdDhLItnv/vlBp+tqi+g165frvsf6NFlgBT0JISy86YL01EPSvbdLf7lR+tGfSG1rpdv+oTQb6I1/Ki2/zOkol0xPPKahsSn1nRpzOpQzSvZltKYtohbmnABnFA0H57VlbDBXqipihhCwOGbuRnthm6fTkumsJO9csAFetn3bGo1MFvTAE7Wx3jyVzsgYaVOnd+aTbd/WrZO5vB7ac9TpUBxHQggLJzcg/eTPS9VA979bOrZHeuXHpY+kpDu+JW28VQrUXutET3mbh1vfsKb6M5SQA+cQiwSVnUeF0GBuUpLUxpYxYFF0t0UUDQdnt9vg7JLpITXWBXTxsuquygbc4OquFm3saNbdD/e6tkNgIaXSGa1b3qTGOu+MJ77hknatXdZQkwPAX4qEEC6MtVJ6l/TAXdKnL5f+/Y+k9kukd9wrfXSf9Jr/KbV0Ox2lo9avaFJ90KdU+e6cmxwfntDR7AR3DIFziIVDyozPfYbQydHS99AyBiwOY4x64jHX3nBxk1Q6qys7o/L5qmtWI+BGxhht39qtZ07k9PBzg06Hs6istUqmM7M3wL3C5yv9jlL92Zr/G0JCCPMzNS49cY/0hRulL75OOvhv0uZfkj64q1QNtOEXJb93ssSLKeD3aVNHVMn0kNOhvMzMCdArQ+AAJ8x3htCpmQohhkoDiyYRj+np4yM1M6tjPiampnXg6DB/64El9Oae1WptCOnLVV6Bkj41rqGxKU+eX962uVONdYGarxIiIYS5GeqVvve/pL/YIH3rg1JhUvqFv5A+dkB60yekZeucjtCVEvGY9h0Z1pTLNqGk0hkFfEZXrG52OhTAtaKRoCYLRY3n5zZ4cHA0L5+RYuHgIkUGIBGPqmilvYfdV4XrFvuPDKtQtFQDA0uoPujXO6+N64cHjivt0jmiC+GJ8g1vL55fGusCum1zp76954gGRiadDscxJIRwfsWi9Mz3S0OiP5OQdn5OuujnpDsfkn5tp3Tt+6t+U9iF6onHlC8U9dTREadDeZFkOqMNq5pVH/Q7HQrgWi2RUsvXXNvGTubyam0I0aIBLKKZGXjMETq7mWpgL16wAV723uvXSJLuqeL15ql0VvVBn9avaHI6lHl539Y1mpq2uu+xPqdDcQwJIZzd+JD08Gelz26W7r1NOpqUfu43pd/YJ92+Q+q+QTJc6FRi5g3rzFpGNygWrfb0Zz3X8wsstZkKn7m2jQ3mJhkoDSyytsY6xVvDSrno76vbpNIZrYrWa0VzvdOhADVldSysN1y+Ul/dldbEVHWuN0+mh7SpI6qA35tphYuXNeqVl7br3kcPua6TY6l48zeHxXV0j/Tgh6VPbZC+97tS4wrpbV8sDYl+9e9IzaudjtBzOlvCam8MueoO5vMnc8pNFpSItzgdCuBq0cj8EkKnRvNqY6A0sOh6OmNK9rnn76vbsE0UcM72bd3KjE3pW8nqW0E/NV3UviPDnj+/3LmtW8eHJ/WdfcecDsURJIRQUshLe78uffEN0udfWfr4ytulD/xU+uXvSJtukwJc2MyXMab0htVFCaEn+mZKyKkQAs4lFi6d+7JzbBkbHC21jAFYXIl4TEeyEzoxPOF0KK5zajSvQ4NjSnR5+4IN8Krr17Zq/YomffnhQ1W3gv7gsRHlC0VPDpQ+3Y3rl6urNVKzw6VJCNW67GHp3/9Y+vQV0jfeL40OSD//p9LHnpRu/itp5SanI6waPfGYnhvIaXhi7tuKFkOqP6OmuoDWtjP/CTiX2DwrhE7mJtXOhjFg0c3MxnHTTRe3mGml8/odfMCrjDHavq1bB44Oa1ev+zYOX4gnqmQ+md9ndMfWNXr80JD21eCCAvaC1yJrpd7/kB77O+mphyRblNa9Udry36S1r5F85AkXQyIek7XSw8+e1OY1rU6Ho92HMroyHmXgLXAeswmh8coTQpOFaY1MFNRGhRCw6DZ2ROX3GaX6M3rDFSudDsdVkn0ZGSNt6qQaGHDKW65arT/7twPasbNXWy5y/hpgoaTSGbU1hNTZEnY6lAv29s1xfep7T+vunb36xG09ToezpEgI1ZLJESl1v7Tr76WBp6Rwi7TtQ9I1vyy1dDsdXdXr6YzJGOkD9+x2OpRZH3z1xU6HALheOOhXyO/T0FjlLWNDo6XkURsVQsCiqw/6ddnKJiqEziDVn9G65U1qrOMtP+CUSCigd1wb15f+s1fHshNaGa2OAe/JdEaJeEymCpYMRSNBveWqDj2wu1+/fdMGtdTQDT3+OtSCgYOlaqDU/VJ+RFp9lXTL30gbb5WC3s/oekU0EtQ/3Hmt0kPjTociSfIbo5s2cicVOB9jjKKRoLJzaBk7mZuUJGYIAUukJx7TvySPqFi0VL6WWWuVSmf0+stXOB0KUPPed323/v6nL+jeRw/p429Y73Q4F2x4YkrPDeR0c0/1LBv6pVd0q7k+oOqa9HR+JISq1XRBOviv0q6/k174ieQPSVfcKm25S+rc7HR0NevG9cudDgHAPLREgnOaITQ4WqomamfLGLAkEvGY/vHRPj1/clSXLGc2niT1nRrT0NgU20QBF+hqi+g165frvsf69KHXXKK6gN/pkC7Ivv6srPX+/KDTrVvRpN9+0wanw1hyDIupNrkB6SeflD5zpfS190mnXpBe+7+ljx2Qbv08ySAAmIdYOKTMHLaMDZYrhGgZA5YGg6Vfbua/RQ/bRAFX2L6tWydzeT2056jToVywmYHSVzKfzPOoEKoWR5LSI38j7f+mNJ2X1t4ovemTpWHRPm9noAHAadFIUOlTYxU//1S5QqiNCiFgSVy8rFGNdQGl0hndtrnT6XBcIZnOqD7o0/oVTU6HAkDSDZe0a+2yBu14uFe3Xu3t81QqndFF7Q2KRXif43UkhLysWJSe+Z6087OlrWGhJmnzL0lbfkVqv9Tp6ACgasTCQe2bw5axk7m8gn6jJga5AkvC7zPa1BGlQug0qXRGmzqiCvhpCADcwOcz2r61W7/34P7ZgcxeZK1VMp3RKy5pdzoULAD+QnjR1Lj0+D9If3OddN87pFPPS6//I+lj+6U3fYJkEAAssNhcZwjlJtXWUFcVmzcAr0h0xXTg6LAmpqadDsVx+UJR+44Mq6fTmxecQLV62+ZONdYFtOPhXqdDmbdjwxM6MTKpHtrFqgIJIS/JDUg/+lPp01dI3/5oaUPYrX8vfSQlveLXpXr+pwSAxRCLhDQ+NV3xhebgaJ52MWCJ9XTGVCha7T8y7HQojjt4bET5QlGJLhJCgJs01gX0tqs79O09RzQwMul0OPOSKldiJroYWF8NSAh5wcBB6cEPlxJBP/4/UucW6c6HpLt+LF35dskfdDpCAKhq0XDpPJutsG2slBBioDSwlGbaL1K0jSnZXx4oTYUQ4Dp3bOvW1LTVfY/1OR3KvDyRzijoN9qwivlk1YDhBm5lbWld/M7PluYEBeqlxLulrR+kJQwAllhLeWhiZmxKK5rrz/v8wdyk1rY3LHZYAE6zMlqvlc31SvWTEEr2ZdTeGFJnS9jpUAC8xMXLGvXKS9t176OH9N9vvFhBj835SqUzunxVs+oCLC6qBt46+mpBIS+l7pc+/0rp7pulI09Ir/5d6Tf2S2/+S5JBAOCAWKRUIZQZq2z1/GAur7YGWsaApdYTZ7C0JKX6M+rpjDHHDHCpO7d16/jwpL6z75jToczJdNFqb3/WswOx8XJUCLnF+JD0sy9Lj35eGjkqLbtMuvmvpU23S8Hz340GACyemZaxTAUtY2P5gsanpmkZAxyQiLfou/uPa2g0r5YaTcoOT0zpuYGcbu5Z7XQoAM7ixvXL1dUa0d07e/VmD/2/+uyJnEbz0+ohIVQ1SAg5bahXeuRvpd1fkaZGpbU3lhJBl7xO4q4OALjCTIVQtoJNY4O5UhURQ6WBpdcTLy3YSPZn9Or1yx2Oxhl7+7OyVtzBB1zM7zO6Y+sa/fFDB7T/SFZXrPbGcqBkekgS55dqQsuYU9KPSV99n/RXV0m7vihdfrP0gZ9Kd3xLuvT1JIMAwEViMzOExs/fMjY4Wk4I1Wh1AuCkKztjMqa2B0vPtMwxUBpwt7dvjisc9HtqBX0ynVVzfUDdbcxJrBZUCC2l4rT01Lelhz8r9T9WWhP/io9IW+6Smr1TKggAtaYh5FfAZ5SpqEKotEaWljFg6TXWBXTp8saaniOUTGe0tr1B0QhbaAE3i0aCestVHXpgd79++6YNnmhzTaUz6onH5PNRvFAtqBBaCpO50mygv75a+tod0ugJ6aZPSr/xpPS63ycZBAAuZ4xRLBLU0Fxaxjzwxg6oRj2dMaXSGVlrnQ5lyVlrlSxfsAFwv+3b1miyUNT9u9JOh3Je4/lpHTw+QrtYlSEhtJiGj0jf/z3p05dL//abUuMK6favSB/eLV13l1TX6HSEAIAKRcNBZefSMsYMIcARia6YhsamlD417nQoS+5odkIDI5NcsAEecdnKZl2/tlX3PHJI00V3J7H3HclqumhpR60ytIwthmN7S21h+74u2aK04c3S1g9L8WudjgwAME8tkVDFLWPhoF+REH9iASfMXKw8kR5SV1vE4WiW1szsJCqEAO+4c1u3PnDPbv3gwHH9/BUrnQ7nrJJ9nF+qEe9WF0qxKD37A2nnZ6UXfiwFG6Rrf0W6/gNSS7fT0QEALlAsEtSRzMR5nzc4mqc6CHDQ+pVNqg/6lEpndUuiw+lwllQynVHI79OGVU1OhwKgQq/bsEKro/Xa8XCvuxNC/Rl1xMJa1sSMxGpCQuhCTU1Ie74q7fycdPKg1LRaet0fSJvvlMJkTwGgWkTDIR04OnLe553MTTJQGnBQ0O/TxtXR2fXItSSZzmjD6mbVBfxOhwKgQgG/T++5fo0++d2Devr4iNatcGdCN5XOKNHF9W21YYbQhZgckT5zpfQvvy4FQtJbvyB9JCXd8FGSQQBQZWKRoDJj558hdGo0r3YGSgOO6onHtO/IsKami06HsmSmi1Z7D2eV6Iw6HQqAOXrXli6FAj7XrqA/mZtU/9C4EswPqjokhC5EXZN03a9Kdzwo/ep/SD3vKCWGAABVJxYOajQ/rXzh3BeYg7m8WkkIAY5KxGPKF4o6eOz8VX3V4pkTIxrLT3MHH/Cg1oaQbu5ZrQd2H1Z2/PzzCpca88mqFwmhC/XKj0trf04yxulIAACLKBYJStI536hZazU4SssY4LSZLVtPlC9iasHsBRt38AFPunNbt8anpvX1n/U7HcrLJNMZ+X1GGzuanQ4FC4yEEAAAFYhGSlU/52obG54oaGraqp2h0oCjOlvCamsIzSZJakEynVFzfUAXtTc4HQqAedjYEdXmNS36ys5eFV22gj6ZzmjdiiY2qFYhEkIAAFSgpVwhlDlHhdCp0VKyiC1jgLOMMeqJx5SsqYRQVj3xmAxV64Bn3bF1jXoHx/TjpwecDmVWsWhLA6VpF6tKJIQAAKhALDxTIXT2hNBgblKS1NZAyxjgtEQ8pucGchqecN88joU2li/o4LFhLtgAj7tp4yota6rTl100XLp3cFTDEwUl4gysr0YkhAAAqMDMDKFztYydzJW+xlBpwHk98Zislfb2Z50OZdHtOzysohUJIcDjQgGf3nNdl3789ICeH8g5HY4kKdXPQOlqRkIIAIAKRCsYKj04WqoQameoNOC4nvL69VpoG2MDEFA93n1dl4J+o7t3HnI6FElSsi+jSMivS5c3OR0KFgEJIQAAKtBUF5DfZ87TMkaFEOAWsUhIF7U31MRg6WQ6o86WMMlooAosb6rXmzat0jd+1q/cZMHpcJTsz2pTR1R+H/PJqhEJIQAAKmCMUTQcVGb87C1jp0bzaq4PKBTgzyvgBj2dUSXTGVnrro09Cy2ZzlAdBFSR7du6NTJZ0Dd3O7uCfrIwrQNHhpXo4vxSrXjHCgBAhWLh4DkrhE7mJtXGHXrANRLxmE6MTOrY8ITToSyagZFJHc6M6yoSQkDVuCoe06aOqHbsPORoQvvA0RHlp4tKdHJ+qVYkhAAAqFA0cu6E0GAurzbaxQDXmKmaSfZVb9sY84OA6mOM0fZt3Xr2RE7/+eygY3HMnF+oEKpeJIQAAKhQSyR0zpaxwdFJtTWSEALc4vLVzQr6jZL9VZwQ6s/I7zPauJqV0EA1+cUrV6m1IeToCvpkOqPlTXVa2VzvWAxYXCSEAACo0Plaxk6N5mkZA1ykLuDX5auaq7pCKJnOaP2KJoVDfqdDAbCA6oN+vWtLXD986rjSp8YciSFVnk9mDAOlqxUJIQAAKhSNBJU9S0JoumhLCSFaxgBX6YnHtPdwVtPF6hssXSza2Qs2ANXnPdetkc8Y3fPI0q+gz45N6fmTo0pwfqlqJIQAAKhQLBzSyGRBU9PFl30tM5ZX0YqEEOAyiXhMY/lpPXsi53QoC+6FwVENTxQYKA1UqdWxsN5w+Qrdvyut8fz0kr52qtxqS0KoupEQAgCgQrFIUJI0PP7yKqHB0dJsIVrGAHeZHSydHnI4koXHQGmg+m3f1q3s+JS+lTy8pK+bTGdkjLSpk/lk1YyEEAAAFZpJCGXOlBDKzSSEqBAC3OSitgY11weUTGedDmXBJdMZNYT8umR5o9OhAFgk113UqstWNunLD/cu6Qr6VDqji5c1qrk+uGSviaVHQggAgApFw+WE0NjLN40Njk5KktoaqBAC3MTnM+qJx5RMV99g6VQ6o02dUfl9DHwFqtXMCvqnjo3osRdOLclrWmuV6s+op5Pqw2pHQggAgAq1RErVP2faNEaFEOBeiXhMTx8f0Vi+4HQoC2ayMK0njw7TLgbUgLckOhQNB3X3zqUZLt0/NK6TubwSXZxfqh0JIQAAKjTbMnbGhNCkjPmvpBEA9+jpjGm6aLXv8LDToSyYJ48Ma2raMlAaqAHhkF/vuDau7+w/pqPZ8UV/vdmB0lQIVT0SQgAAVCgWLlcInWWodGskROsG4EIzVTSpKmobY6A0UFvee90aFa3VvY/0LfprJfsyCgV8umxV06K/FpxFQggAgAo11QdkjJQ90wyhXF6trJwHXGlZU506YmEl+6snIZRMZ7SiuU6romGnQwGwBLraInrtZct132N9mpha3BX0qf6MNq5uVtBPuqDa8RsGAKBCPp9RNBw8S4XQJPODABdLxGNK9lVPQijVn2XgK1Bjtm/r1uBoXg/tObpor1GYLmrv4awS8ZZFew24BwkhAADmIBYOnnWodFsjG8YAt0rEYzqcGdfAyKTToVywzFheL5wcZeArUGNuuKRdFy9r0N07exftNQ4eH9HEVFE98eiivQbcg4QQAABzEI2EzjpDqJ2WMcC1qmmOUKo/K4mBr0CtmVlBn+rP6om+oUV5jVS6fH5hPllNICEEAMAclCqEXjxDKF8oKjs+pdYGKoQAt9rY0Sy/z8xuz/GyVDojY6RNndzBB2rNrVd3qrEuoB0P9y7Kz0+mh9QSCaqrNbIoPx/uQkIIAIA5aIm8vGVsqJwgYoYQ4F6RUEDrVjQpWQUVQsl0Rpcsa1RTfdDpUAAssca6gG7b3KmH9h7ViZGJBf/5qXRWPfGYjGFrai0gIQQAwBzEIqGXVQidzJVmkrSTEMJC9UMAAA+dSURBVAJcLRGPKpXOqFi0Tocyb9ZapdIZ1s0DNeyOrWs0NW1136PpBf25ucmCnj4xQrtYDSEhBADAHETDQQ1PFDR92gXlqdGZCiFaxgA3S8RjGp4oqHdw1OlQ5q1/aFyDo3ku2IAatnZZo161bpnuffSQ8oXigv3cvf1ZWSsSzjWEhBAAAHMQi5RaNIZPGyw9mCslhFoZKg242sxFjpfbxmZiJyEE1LY7t63RiZFJfXf/sQX7mTMz1noYWF8zSAgBADAHMwmh0zeNzbaMMVQacLVLlzcpEvJ7etNYKp1RXcCn9SubnA4FgINuXLdcXa2RBR0unezLaE1bhBtcNYSEEAAAcxALl94knT5HaHA0r4DPqDkccCosABXw+4w2dUQ9XyG0sSOqoJ+38UAt8/mM7ti6Ro8fGtK+w9kF+Zmp/gzVQTWGvyQAAMxB9AwVQqdyebU1htjIAXhAIh7Tk0eHNVmYdjqUOZuaLmrfkSwXbAAkSW+/Jq5w0L8gVULHhyd0NDtBO2qNISEEAMAcxMLlhNCLKoQm1Uq7GOAJiXhMU9NWTx4ZdjqUOTt4bEQTU0UlurhgA1BadPHWqzv0rdSR2QUX8zVTOclA6dpCQggAgDloicy0jJ0+QyjPynnAI2Yudrw4R2hm4GuCCiEAZdu3ditfKOqruy5sBX0qnVHAZ3TF6uYFigxeQEIIAIA5aJ6tEDpty9jopNoYwAh4wqpovZY31SnVvzAzN5ZSsi+j1oaQ4q1hp0MB4BLrVzZp69o23fPIIRWm57+CPpnOaMOqZtUH/QsYHdyOhBAAAHPg9xk11weUfdkMIVrGAC8wxqgnHvPkYOnSwNco88oAvMj2bd06nBnXDw6cmNf3F4tWe/qz6olHFzgyuB0JIQAA5igWCc3OEBrPT2s0P82KVsBDEvGYXjg5+qJZYG6XmyzomRM5JeItTocCwGVet2G5Vkfr5z1c+rmBnHKTBc4vNYiEEAAAcxSLBGe3jA2OTkoSM4QAD5nZouOltrE9/RlZK+7gA3iZgN+n925do53PD+rgsZE5f/9MxWSC80vNISEEAMAcRcPB2RlCg7lShUEbW8YAz9jUGZUx3hosnUqXklesnAdwJu+8tkuhgE87dvbO+XtT/Rk11QW0tr1xweOCu5EQAgBgjk5vGZtZ89pGhRDgGc31QV28rNFTc4SS6SF1t0XUQnsqgDNobQjplp7V+ubuwy+ac1iJZDqjK+NR+XzMJ6s1JIQAAJijltNaxk7mSi1jVAgB3tLTGVMqnZG11ulQKpJKZ9UTpzoIwNlt39at8alp/dPjla+gn5ia1lNHR6g+rFEkhAAAmKNYOKjs+JSKRatBKoQAT0p0xTQ4mlf/0LjToZzXseyEjg1PzM4+AoAz2dgR1eY1LfrKI4dULFaW7N5/JKtC0XJ+qVEkhAAAmKNoJCRrpZGJggZzk6oP+hQJ+Z0OC8AcJMp3w73QNjYTIxVCAM5n+7ZuHRoc0/97urIV9MnyfDISQrWJhBAAAHMUCwclSZnxvAZH82prqJMx9N0DXnLZqiaFAj5PDJZO9WcU9BtdvqrZ6VAAuNxNG1dqeVOdvvzwoYqen0xntDpar+XN9YscGdyIhBAAAHMUi5QTQmNTGszlWTkPeFDQ79PG1c3eqBDqy2jDqmbVB6lEBHBuQb9P77lujX7y9ICeG8id9/mpdIbqwxpGQggAgDmaTQiNT2lwdFKtbP0BPKknHtO+I1lNTRedDuWspotWew9nGfgKoGLvui6uoN/oKzvPXSV0ajSvvlNjJIRqGAkhAADmKBouJYAyY3kN5vJqa2TDGOBFiXhME1NFHTw24nQoZ/XcQE65yQLzPQBUbHlTvX5h0yp9/Wf9yk0Wzvq8mZZZzi+1q6KEkDHmjcaYg8aYZ40xv3WGr7/KGLPbGFMwxty28GECAOAeL2oZG82zYQzwqJmLoFS/e9vGGCgNYD7u2Nat3GRBD+zuP+tzkumMfEba1BFdwsjgJudNCBlj/JI+J+kmSZdLepcx5vKXPK1P0p2S/nGhAwQAwG1mhkr3D40pXyiqvYEKIcCLulojaokEXT1YOpXOqKk+oLXtDU6HAsBDrorHdGVnVDse7pW1Z15Bn0xntG5FkxrqAkscHdyikgqhLZKetdY+b63NS7pf0i2nP8Fa22ut3SPJvQ3YAAAskIDfp6a6gJ4bGJUkZggBHmWMUU885urB0sl0Rj2dMfl8bDIEUDljjLZv7dZzA6P66bMnX/Z1a61S/Rnmk9W4ShJCHZLSp33eX35szowxdxljHjfGPD4wMDCfHwEAgCtEI8HZ7R20jAHelYjH9MyJ3DnnbDhlYmpaTx0bUU+cdg4Ac/eLPavU1hDSjjOsoO87NabM2JQSXSSEatmSDpW21n7BWnuNtfaaZcuWLeVLAwCwoGKRoNKnxiRJ7QyVBjyrJx6TtdIeF84R2nc4q+miVSLe4nQoADyoLuDXu7Z06YdPHZ99zzJjdj4ZFUI1rZKE0GFJ8dM+7yw/BgBAzYqFQyqWW/KpEAK8a+ZiKJXOOhzJy/3XQGkqhADMz3uu75LPGH3lkRdXCSXTGYWDfq1b0ehQZHCDShJCuyRdaoy5yBgTkvROSQ8ublgAALhbtLxpTGKGEOBlrQ0hrWmLKJkecjqUl0mmM+qIhbW8qd7pUAB41KpoWD9/xQp9dVda4/np2ceT6Yw2dUQV8C9p0xBc5ry/fWttQdKHJH1X0gFJX7PW7jfG/KEx5mZJMsZca4zpl/R2SZ83xuxfzKABAHDazKaxprqA6gJ+h6MBcCF6OmOurBBK9WeoDgJwwbZv7VZ2fEr/nCw1+uQLRe0/Msz5BZXNELLW/qu1dp219mJr7Z+UH/vf1toHyx/vstZ2WmsbrLVt1torFjNoAACc1hIpVQXRLgZ4XyIe07HhCR3LTjgdyqzB3KTSp8aViDPfA8CF2XJRqy5b2TS7gv6pY8PKF4rMJ8PSDpUGAKBaxMotY20MlAY8r6ecdHHT+vlUPwNfASwMY4zu3Natp46N6LEXTinFfDKUkRACAGAeouWWMeYHAd53xepmBXxmNgnjBsl0Vj4jbezggg3Ahbsl0aFoOKgdO3uVTGfV3hhSRyzsdFhwWMDpAAAA8KJYuWWsnZYxwPPqg35tWNWsZJ+bEkIZrVvRpIY63q4DuHDhkF/vuDauL/70BbU1hJSIx2SMcTosOIwKIQAA5mG2ZayBljGgGvTEo9p7OKvponU6FFlrlUpnmB8EYEG97/o1KlqrEyOTtKNCEhVCAADMy8yWMYZKA9UhEW/RPY/06f07dqku4Ow906lpq+z4FAkhAAsq3hrRay9boR8cOK5EF+cXkBACAGBeutoiumnjSr3y0nanQwGwAF61rl1Xd8Vcs2nsqq6Ybly/3OkwAFSZj7z2UuWni9q8hg1jkIy1zpTFXnPNNfbxxx935LUBAAAAAACqkTHmZ9baa873PGYIAQAAAAAA1BgSQgAAAAAAADWGhBAAAAAAAECNISEEAAAAAABQY0gIAQAAAAAA1BgSQgAAAAAAADWGhBAAAAAAAECNISEEAAAAAABQY0gIAQAAAAAA1BgSQgAAAAAAADWGhBAAAAAAAECNISEEAAAAAABQY0gIAQAAAAAA1BgSQgAAAAAAADWGhBAAAAAAAECNISEEAAAAAABQY0gIAQAAAAAA1BgSQgAAAAAAADWGhBAAAAAAAECNISEEAAAAAABQY0gIAQAAAAAA1BgSQgAAAAAAADWGhBAAAAAAAECNMdZaZ17YmAFJhxx58YXXLumk00EA88CxC6/i2IVXcezCizhu4VUcu/CqCz1211hrl53vSY4lhKqJMeZxa+01TscBzBXHLryKYxdexbELL+K4hVdx7MKrlurYpWUMAAAAAACgxpAQAgAAAAAAqDEkhBbGF5wOAJgnjl14FccuvIpjF17EcQuv4tiFVy3JscsMIQAAAAAAgBpDhRAAAAAAAECNISF0AYwxbzTGHDTGPGuM+S2n4wEqZYzpNcbsNcYkjTGPOx0PcDbGmC8ZY04YY/ad9lirMeb7xphnyv9ucTJG4EzOcuz+vjHmcPncmzTGvMnJGIEzMcbEjTE/MsY8aYzZb4z5SPlxzr1wtXMcu5x74WrGmHpjzGPGmFT52P2D8uMXGWMeLecbvmqMCS34a9MyNj/GGL+kpyW9XlK/pF2S3mWtfdLRwIAKGGN6JV1jrT3pdCzAuRhjXiUpJ+lua+3G8mOfkHTKWvtn5WR8i7X2fzgZJ/BSZzl2f19Szlr7507GBpyLMWaVpFXW2t3GmCZJP5P0Fkl3inMvXOwcx+7t4twLFzPGGEkN1tqcMSYo6aeSPiLpY5IesNbeb4z5v5JS1tq/XcjXpkJo/rZIetZa+7y1Ni/pfkm3OBwTAFQVa+1PJJ16ycO3SNpR/niHSm/2AFc5y7ELuJ619qi1dnf54xFJByR1iHMvXO4cxy7garYkV/40WP7HSnqNpK+XH1+U8y4JofnrkJQ+7fN+ccKBd1hJ3zPG/MwYc5fTwQBztMJae7T88TFJK5wMBpijDxlj9pRbymi5gasZY7olXSXpUXHuhYe85NiVOPfC5YwxfmNMUtIJSd+X9JykjLW2UH7KouQbSAgBtekGa+3Vkm6S9MFyawPgObbU90zvM7zibyVdLCkh6aikTzkbDnB2xphGSd+Q9FFr7fDpX+PcCzc7w7HLuReuZ62dttYmJHWq1I102VK8Lgmh+TssKX7a553lxwDXs9YeLv/7hKRvqnTSAbzieHlOwMy8gBMOxwNUxFp7vPyGryjp78S5Fy5VnmHxDUn3WmsfKD/MuReud6Zjl3MvvMRam5H0I0lbJcWMMYHylxYl30BCaP52Sbq0PPk7JOmdkh50OCbgvIwxDeVBezLGNEh6g6R95/4uwFUelLS9/PF2Sd9yMBagYjMX02VvFedeuFB5uOkXJR2w1v7FaV/i3AtXO9uxy7kXbmeMWWaMiZU/Dqu0uOqASomh28pPW5TzLlvGLkB5ZeFfSvJL+pK19k8cDgk4L2PMWpWqgiQpIOkfOXbhVsaY+yTdKKld0nFJvyfpnyV9TVKXpEOSbrfWMrwXrnKWY/dGlVoWrKReSb962kwWwBWMMTdI+g9JeyUVyw//jkqzWDj3wrXOcey+S5x74WLGmCtVGhrtV6lo52vW2j8sX7fdL6lV0hOS3mutnVzQ1yYhBAAAAAAAUFtoGQMAAAAAAKgxJIQAAAAAAABqDAkhAAAAAACAGkNCCAAAAAAAoMaQEAIAAAAAAKgxJIQAAAAAAABqDAkhAAAAAACAGkNCCAAAAAAAoMb8f/hy0C0guXHtAAAAAElFTkSuQmCC\n",
"text/plain": [
"<Figure size 1440x720 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# FORCAST VARIANCE WITH FIRST ORDER GARCH MODEL\n",
"\n",
"from arch import arch_model\n",
"n_test = 10\n",
"\n",
"# divide data in training set and testing set\n",
"train,test = nTS[0:18000], nTS[18000:18030]\n",
"\n",
"# create and fit GARCH[1,1] model\n",
"model = arch_model(train, mean='Zero', vol = 'GARCH', p =1, q=1)\n",
"model_fit = model.fit()\n",
"\n",
"# use fitted model to forecast variance for 30 data points\n",
"yhat = model_fit.forecast(horizon=30)\n",
"\n",
"# plot forecasted, actual variance \n",
"plt.plot([i for i in range(0,30)],nTS[18000:18030])\n",
"plt.plot(yhat.variance.values[-1,:])\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 103,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"price 0.32747\n",
"dtype: float64\n",
"0.2990917209059472\n"
]
}
],
"source": [
"# GET SPECFIFIC CONSTANTS FROM THE MODEL\n",
"\n",
"print(np.mean(nTS[18000:18030]))\n",
"print(np.mean(yhat.variance.values[-1,:]))\n",
"\n",
"# --> actual value: .32747, predicted value: .299"
]
},
{
"cell_type": "code",
"execution_count": 125,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"0.04539295661279487\n"
]
}
],
"source": [
"# USE FORECASTED VAR AND THE BINOMIAL OPTIONS PRICING MODEL TO PRICE OPTIONS\n",
"\n",
"import math\n",
"\n",
"def jarrow_rudd(s,k,t,v,rf,cp,am, n):\n",
" '''\n",
" s: initial stock price\n",
" k: strike price\n",
" t: expiation time\n",
" v: volatility\n",
" rf: risk-free rate\n",
" cp: +1/-1 for call/put\n",
" am: True/False for American/European\n",
" n: binomial steps\n",
" '''\n",
" # Basic calculations\n",
" h = t/n\n",
" u = math.exp((rf-.5*math.pow(v,2))*h+v*math.sqrt(h))\n",
" d = math.exp((rf-.5*math.pow(v,2))*h-v*math.sqrt(h))\n",
" drift = math.exp(rf*h)\n",
" q = (drift -d)/(u-d)\n",
" \n",
" # Process the terminal stock price\n",
" stkval = np.zeros((n+1,n+1))\n",
" optval = np.zeros((n+1,n+1))\n",
" stkval[0,0] = s\n",
" for i in range(1,n+1):\n",
" stkval[i,0] = stkval[i-1,0]*u\n",
" for j in range(1,i+1):\n",
" stkval[i,j] = stkval[i-1,j-1]*d\n",
" \n",
" # Backward recursion for option price\n",
" for j in range(n+1):\n",
" optval[n,j] = max(0,cp*(stkval[n,j]-k))\n",
" for i in range(n-1,-1,-1):\n",
" for j in range(i+1):\n",
" optval[i,j] = (q*optval[i+1,j]+(1-q)*optval[i+1,j+1])/drift\n",
" if am:\n",
" optval[i,j] = max(optval[i,j],cp*(stkval[i,j]-k))\n",
" return optval[0,0]\n",
"\n",
"s = 85.3\n",
"k = 85.3\n",
"t = 20.0\n",
"v = (.299/1000)\n",
"rf = 0\n",
"cp = 1\n",
"am = True\n",
"n = 100\n",
"print(jarrow_rudd(s,k,t,v,rf,am,cp,n))"
]
},
{
"cell_type": "code",
"execution_count": 136,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"85.37\n"
]
}
],
"source": [
"# TEST PRICING MODEL\n",
"\n",
"from decimal import Decimal, ROUND_UP\n",
"\n",
"# strike price == current price\n",
"s = k = 85.31\n",
"# time is 30 sec\n",
"t = 30.0\n",
"# volatility is the mean of the forecasted volatility over 20 periods /1000\n",
"v = .299/ 1000\n",
"# risk free interest rate\n",
"rf = 0\n",
"# call/put\n",
"cp = 1\n",
"# american option\n",
"am = True\n",
"# binomial steps\n",
"n = 100\n",
"\n",
"# order price is sum of option price and strike price\n",
"def orderPrice(s,k,t,v,rf,am,cp,n):\n",
" optionPrice = jarrow_rudd(s,k,t,v,rf,am,cp,n)\n",
" totalPrice = Decimal(optionPrice + s)\n",
" output = Decimal(totalPrice.quantize(Decimal('.01'), rounding=ROUND_UP))\n",
" return output\n",
"\n",
"# print price\n",
"print(orderPrice(s,k,t,v,rf,am,cp,n))\n"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.7.1"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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