Commit f010a201 by Prayush Kumar

Add notebooks demonstrating Chebyshev differentiation and interpolation

parent 66b3e3a9
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Chebyshev 2: Differentiation"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"3.10.12 | packaged by conda-forge | (main, Jun 23 2023, 22:40:32) [GCC 12.3.0]\n",
"Seaborn version 0.12.2\n"
]
}
],
"source": [
"import sys\n",
"import os\n",
"import math\n",
"import numpy as np\n",
"import scipy\n",
"\n",
"import matplotlib.pyplot as plt\n",
"%matplotlib inline\n",
"import matplotlib\n",
"%config InlineBackend.figure_format = 'retina'\n",
"\n",
"import seaborn as sns\n",
"\n",
"# SEABORN & MATPLOTLIBN CONFIGURATION\n",
"# seaborn styles (choose by changing index at end)\n",
"context=['paper', 'notebook', 'talk', 'poster'] [1]\n",
"palette=['deep', 'muted', 'bright', 'pastel', 'dark', 'colorblind', 'hls', 'tab10'] [2]\n",
"style=['darkgrid', 'whitegrid', 'dark', 'white', 'ticks'] [4] \n",
"\n",
"# extra customizations\n",
"# https://matplotlib.org/stable/tutorials/introductory/customizing.html\n",
"# uncomment this to get list of all rc-params: \n",
"#print(plt.rcParams.keys())\n",
"rc={\"axes.grid\":\"false\", #\"true\",\n",
" \"axes.grid.which\": \"major\",\n",
" \"grid.color\":'lightgrey',\n",
" \"grid.linewidth\":0.6,\n",
" 'xtick.direction':'in',\n",
" 'xtick.top':True,\n",
" 'ytick.direction':'in',\n",
" 'ytick.right':True\n",
" }\n",
"\n",
"sns.set_theme(style=style,context=context, palette=palette,\n",
" font_scale=1, rc=rc)\n",
"print(sys.version)\n",
"print(\"Seaborn version {}\".format(sns.__version__))"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"sys.path.append('../Final')\n",
"import Chebyshev"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
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KMmyRJEmSJKmq+Ps7eGxfmD4cgMSdCknplLdOSfJF59Lw84+J26l1ZXSoTeAyIkmSJEmSKls4DF+PgLcuhPycdYbqHJxP/tJtKPgrn3rDHiGp53GV0qI2nWGLJEmSJEmVKXc5vHk+fPNs5FhCHULHPkHaefsTLiggbofto9+fNpthiyRJkiRJURZesYLcj8aT1LEVvNQLFs+JLNp6D+j9EjRuQ2zUO9SWMGyRJEmSJCmKCr6bzbJe/Sn8fg6hfgUktiphE9x9L4DD74b4pOg3qC3mBrmSJEmSJEVBOBwmZ/gzLNnnAApn/wDhMFmjQxQuX6sosR70fhmOftigpRozbJEkSZIkqYIVLV9OVv+zyTrzfMhZM5OlaEUMWW8kES4Cmu0NF0yHXT3OubpzGZEkSZIkSRUo/9tZZPbqR+Gcn0ocz5sby4r5B1Dnxg8gLjHK3akiOLNFkiRJkqQKEA6HWfnE02Tse+AGg5bV8n5PJhxyPkRNYdgiSZIkSVI5K8rKIvOUM8g+92LIzd1wYShE6jWDaPDRW4RiPXOopjA2kyRJkiSpHOV//Q2ZvfpT+PMvpdaFmjQm7dlhJB56SJQ6U7Q4s0WSJEmSpHIQDodZ+fDjZHQ6eKNBS/xBXWk04wuDlhrKmS2SJEmSJG2homXLyBpwIbmj3yi9MBQidfBVpF53lcuGajDDFkmSJEmStkD+V9PI7H0ahXPnlVoXs/VWpD03jIRuB0WlL1UelxFJkiRJklQG4XCYFfc9TMZ+3TcatCR0P5iGMz43aKklnNkiSZIkSdJmKsrIIOvMC8h9463SC2NiSB1yLalXDyIU43yH2sKwRZIkSZKkzZA/+SuW9epP0e/zS62LabYNaS8MJ+GA/aPUmaoKYzVJkiRJkjZD0V+/UTS/9KAl4fAeNJrxuUFLLWXYIkmSJEnSpvp1HIk/DCS1S17J47Gx1Ln9Juq/PZqYJk2i25uqDJcRSZIkSZK0MUWF8MlN8MkQCIdJPRDyfo8lf/6a45tjWrYg7cURJHTpVImNqipwZoskSZIkSaXJ/hNG9IDxN0I4DEAoBtKOzyWUEgIg4egjaPT1JIMWAc5skSRJkiRpw37+EF49FVb8EzEUu/dhpB1wOgW/LyLl0gsJhUKV0KCqIsMWSZIkSZLWUpSdTUxKMoy/ASYMLZ7NUiwmFg65Bfa/gsSYGBIrpUtVZYYtkiRJkiQB4cJCVtxyBzmPPEHDQVsRmzk5sqheC+j1Imy7X/QbVLVh2CJJkiRJqvUK//qbrL5nkjfuUwAyH/yLBqcGe7MUSz8KThgBKY0qpUdVH26QK0mSJEmq1XI/Gk/G7p2KgxaA/N9jWTExPvggJg4Ovxv6jjVo0SYxbJEkSZIk1UrhggKWX3sjyw49hqJ/FkWMr5gYT+6ibWDAZ7DfZeAGuNpEhi2SJEmSpFqn8I+FLD3kSFbccmfkBrjFQmS9l0Z4672i2puqP8MWSZIkSVKtkvvuByzZozP5EyaVWhfbpjX133iZUHx8lDpTTWHYIkmSJEmqFcL5+WRfeR3LjjiB8OIlpdYmndqHhtM+I3739lHqTjWJpxFJkiRJkmq8wt/nk3nyGeR//mXphclJ1HvoHpLO6EfIPVpURoYtkiRJkqQabdXYt8k6/VzCS5eVWhe7Szr1Xx5F3K7totOYaiyXEUmSJEmSaqRwXh7Zl11F5rG9Nxq0JJ1+Ko2+mmDQonLhzBZJkiRJUo1TOHcey/qcTsGUqaUXpiRT75H7SD6tb3QaU61g2CJJkiRJqlFWjXmDrDPPJ5yZVWpd3K5tSXvlGeJ2To9SZ6otXEYkSZIkSaoRwrm5ZA28nMyefTcatCSffToNp3xq0KIK4cwWSZIkSVKNkPP0KHIeerzUmlCdVOo+8SDJJ/eKUleqjZzZIkmSJEmq/vJWktxkEvHbFm6wJG6P3Wg47TODFlU4wxZJkiRJUvX293fw2D6EvhlJ2nG5xKSGI0qSLzibhl+MI67NTpXQoGobwxZJkiRJUvUUDsP04fD4PrBoNgCxdcPUO3YVEAQuoXp1SXvlGeo9fC+hpKRKbFa1iXu2SJIkSZKqn9zl8OYF8M0zEUOJO6eQetbh5H7zN2kvjSRuh+0roUHVZjUibCksLOSXX35h1qxZfPfdd8yaNYsffviBVatWAXD88cdz2223ldv9rrrqKl577bVNrh81ahQdO3Yst/tLkiRJUq3217fwUi9YPCdybOvdoffLpNbfgdTCQkKJidHvT7VejQhbLr30Uj744IPKbkOSJEmSVEEKZn/PirseoN7ZuxH64L9QkBtZtO8FcPjdEJ9ECCCuRrzkVTVUI/7LKyxcd7fp+vXrU79+febNm1fh9x4yZAiNGjUqtWanndyASZIkSZLKKmfEs2Rd+F9YmUPMnDzqdstftyCxHhz3FOx6UuU0KK2nRoQtu+22GzvuuCPt2rWjXbt2tGzZkjFjxnD11VdX+L33228/WrRoUeH3kSRJkqTapmj5crIvvIxVo54v/tzKzxNI2LaIxB3/fdO92d7Q+yVouGMldSlFqhFhy3nnnVfZLUiSJEmSylH+zFlk9upP4Q8/RoxlvpFIowE5xB46EA67A+Lcl0VVi0c/S5IkSZKqjHA4zMonh5Ox74ElBi0A4ZUhMj/fi/Bhdxu0qEqqETNbJEmSJEnVX1FWFlnnXkzui69utDa+x1FR6EgqG8OWLTR48GDmzp3L4sWLSUhIoHHjxuy2224cdthhHHLIIYRCocpuUZIkSZKqvPyvvwmWDf38S6l1oSaNSXvmKRIP6x6lzqTNZ9iyhSZNmlT8OC8vj+XLlzNv3jzGjh3LLrvswj333MMOO+ywxfeZM6eE8+M3UbNmzWjWrNkW9yBJkiRJ5S0cDpPz6JNk//cqyMsrtTb+oK6kPfc0sc22iVJ3qi4WLlzIwoULy/TcLXm9vSGGLWWUkpJCp06d2G233WjevDnx8fEsWbKEqVOn8tFHH5Gfn8/3339Pnz59eOGFF9hxxy3bGXvIkCFlfu5FF13EwIEDt+j+kiRJklTeijIzyRpwIbmvvl56YShE6nVXkjr4akKxsVHpTdXL6NGjeeihhyq7jWKGLWXQt29frrvuOlJTUyPGTj31VObPn8/FF1/M7NmzyczM5JJLLmHs2LHExLgfsSRJkiQB5E+dHiwbmjuv1LqYrbci7blhJHQ7KCp9SeXBV/9l0L59+xKDltVatmzJsGHDaNSoEQA//fQT77//frTakyRJkqQqKxwOs/L+h8nocshGg5aE7gfTcMbnBi2qdpzZUkEaNmxI//79uffeewH45JNP+M9//lPmrzd48GDS09PL9Fz3a5EkSZJUFRRlZJB15gXkvvFW6YUxMaQOuZbUqy532ZA2Sc+ePencuXOZnjtnzpwt2rqjJIYtFahjx47Fj3/5pfQdtTcmPT2dDh06bGlLkiRJklQp8r6cQmbv0yj6fX6pdTHNtiHtheEkHLB/lDpTTVDVDoZxGVEFatCgQfHj7OzsSuxEkiRJkirPqtGvs7TroRsNWhIO70GjGZ8btKjaM2ypQBkZGcWP69atW4mdSJIkSVLliW9ZRExy4YYLYmOpc9sQ6r89mpgmTaLXmFRBDFsq0OTJk4sfb7/99pXYiSRJkiRVgqJCGHcjsW+dRNoxK4FwRElMyxY0mPA+qVdeRsgTXFVDuGdLBVmyZAmjRo0q/vjggw+uxG4kSZIkKcqy/4RX+sLc8QAkbA+pXfNZMTGhuCTh6CNIG/4oMf+e5CrVFMaGa5k8eTLp6emkp6fTrVu3Emtee+01JkyYQDgcmciuNn/+fAYMGFC8jGjHHXfksMMOq5CeJUmSJKnK+flDeHiP4qBltdSu+cTvkgZxcdS5+1bqv/GSQYtqpBoxs2X+/Pm8+uqr63xuzpw5xY9nz55dfATzau3atePQQw/d7HvNnj2bUaNG0bRpU/bff3/S09Np1KgRcXFxZGRkMHXqVD788EPy8/MBSEtL4/777yfW48okSZIk1XSFBTD+BpgwFNZ/gzomllCPm0m7oD9FC/4gvuM+ldKiFA01ImxZuHAhjz322AbH58yZs074AnD88ceXKWxZ7Z9//mHMmDGl1rRv357bb7+dHXfcscz3kSRJkqSqLFxYSN64T0nctw28cgr8NjGyqF4L6PUibLsfsUBs86pzRK9UEWpE2BJNAwYMYNddd+Wbb75h9uzZLF68mGXLlpGTk0OdOnXYaqut2H333Tn88MPp0qULoVCosluWJEmSpApR+NffZPU9k7xxn1K/fzyJrZZFFqUfBSeMgBSXC6n2qBFhS8eOHSNmrlTU19lqq6049thjOfbYY7f4fpIkSZJUXeV+NJ6svmdS9M8iADJfyaPRgBCxaf8uH4qJg0Nvgy6XgW9Cq5Zxg1xJkiRJ0iYLFxSw/NobWXboMcVBC0A4J0Tma4mEC4H628KAibDf5QYtqpVqxMwWSZIkSVLFK/xjIZmnnEH+hEkljucviGX5rHbUfWkiJDeIcndS1eHMFkmSJEnSRuW+9yFL9ui8waCluO7HeMLhxCh1JVVNhi2SJEmSpA0K5+eTfdVglv3neMKLl5Ram3RKLxp+NYFQSkqUupOqJpcRSZIkSZJKVDh/AZl9Tif/8y9LL0xKot5Dd5N0Zn9PZJUwbJEkSZIklSD3zXfIPP1cwhlLS62L3SWd+i+PIm7XdlHqTKr6XEYkSZIkSSoWzssj+/KrWXZMr40GLUmnn0qjryYYtEjrcWaLJEmSJAmAwnm/saz3aRRMmVp6YUoy9R69n+T+p0SnMamaMWyRJEmSJLHqtbFknXk+4WWZpdbF7dqWtJdHEbfLzlHqTKp+XEYkSZIkSbVYODeXrIsHkXnCKRsNWpLPPp2GUz41aJE2wpktkiRJklRLFfzyK5m9T6Ng2tel1oXqpFL38QdJPqVXlDqTqjfDFkmSJEmqpYp+m0fB1zNKrYnbvX2wbKjNTtFpSqoBXEYkSZIkSbXRP7NJmDWQOgfkbrAk+YKzafjleIMWaTM5s0WSJEmSapNwGL4eAW9dCPk5pOwHeb/HkPfrmpeHoXp1qffUwySddELl9SlVY85skSRJkqTaInc5jD4NXjsT8nMACIUg7dhcYuoGJXF770nD6ZMMWqQt4MwWSZIkSaoN/voWXuoNi3+IGIrZcXfSnvk/csfPoM7tNxFKTKyEBqWaw7BFkiRJkmqocG4uoYQEmPokvHMJFKyKLNrnPPjPvSTEJ5Fw7CnRb1KqgVxGJEmSJEk1UM7I51i8w64UPnwcjD03MmhJrAu9XoJjHoX4pErpUaqpnNkiSZIkSTVIeMUKsi68jFUjnwNg2a0LaHgahGLXKmq2N/R+CRruWDlNSjWcM1skSZIkqYYomPUdSzp0LQ5aAAoWxrJ8fMKaok4D4exJBi1SBTJskSRJkqRqLhwOs/KpESzZ50AKf/gxYnzll/HkzqsHJ4+BIx+AODfAlSqSYYskSZIkVWNF2dlknXoW2WdfBKtK2AD3X5nv1qOoZfcodibVXu7ZIkmSJEnVVP6Mb8ns1Y/Cn34ptS7UpDFpzzxFTN26UepMqt2c2SJJkiRJ1Uw4HGblo0+S0engjQYt8QfuT6MZX5B4mLNapGgxbJEkSZKkaqQoM5PM3v3JvuC/kJu74cJQiNTBV9Hgo7eIbbZN9BqU5DIiSZIkSaou8qdOJ7N3fwp/nVdqXcxWTan33DASDzk4Oo1JWoczWyRJkiSpiguHw6x84BEyuhyy0aAl4ZCDaDjjC4MWqRI5s0WSJEmSqrCipUvJOvN8cl9/q/TCmBhSb7iG1GuuIBQbG53mJJXIsEWSJEmSqqj8yV+xrPdpFP32e6l1Mc22Ie35p0k4sGuUOpNUGpcRSZIkSVIVEy4qYsXdD5Cxf4+NBi0Jh3Wn0YzPDVqkKsSwRZIkSZKqmNwxb7B80DVQULDhothY6tx6I/XfGUNMkybRa07SRrmMSJIkSZKqkqJCEht8S0LrQvJ+LnnvlZgWzUl7cQQJ+3WOcnOSNoUzWyRJkiSpqsj+C0YeSuiTG0g7ZhUxdYsiShKO+k+wbMigRaqyDFskSZIkqSr45SN4eHf4dRwAMSmQdnwuhMLBeFwcde4aSv2xLxPTqFElNippY1xGJEmSJEmVqbAAxt8IE26BcHidoYTtQtQ562BWfvhrsGyo076V1KSkzWHYIkmSJEmVJesPeOUUmDchcqxec+j1Iiktu5CcnU1MWlr0+5NUJoYtkiRJkhRFhX/9zYqhd1L33AMJjT0TVi6OLGpzJJwwAlIbEwJCBi1StWLYIkmSJElRkvvxeLL6nkXR3//Alw9S77C8dQti4qDHrdDlMohxi02puvJvryRJkiRVsHBhIcsH38SyHscEQQuQ81U8q35Y62jn+tvCgImw/yCDFqmac2aLJEmSJFWgwoV/knnKGeR/+lnEWNabicRvlUNs52PghOGQ3KASOpRU3oxLJUmSJKmC5L73IUt271Ri0AIQzg2xbHwbwie+ZNAi1SCGLZIkSZJUzsIFBWRffT3L/nM84cVLSq2N26MLFBREqTNJ0eAyIkmSJEkqR4XzF5B58hnkT/qi9MKkJOo9dDdJZ/YnFApFpzlJUWHYIkmSJEnlJPetd8k87RzCGUtLrYvduQ31X3mGuF3bRakzSdHkMiJJkiRJ2kLhvDyyB13DsqNP2mjQknRaXxpNnWjQItVgzmyRJEmSpC1QOO83MvucTv7kr0ovTEmm3iP3kXxa3+g0JqnSGLZIkiRJUhmtev1Nss44j/CyzFLr4nZtS9pLI4lru0uUOpNUmVxGJEmSJEmbKZybS9YlV5B5/MkbDVqSB5xOw8mfGLRItYgzWyRJkiRpMxT88iuZvU+jYNrXpdaF6qRS9/EHST6lV5Q6k1RVGLZIkiRJ0ibKmziJZUedSDgru9S6uN3bk/byKOLa7BSlziRVJS4jkiRJkqRNFNc0llDsylJrks8fQMMvxxu0SLWYYYskSZIkbYqvRxLz0iGkHbscYsIRw6F6dUl7aST1HrmPUFJSJTQoqaowbJEkSZKk0uStgNGnwZjTIX8lCS2KqHNw/jolcXvvScPpk0jq1bNyepRUpRi2SJIkSdKG/DUTHu0AM0at8+mUTvkktE0BIPni82k46SPidtyhMjqUVAW5Qa4kSZIkrS8chmnD4O2BULAqYji073mkXfg/8r76hqRjjqyEBiVVZYYtkiRJkvSvvC+nkLDnLjD2PPj2+ciCxLpw7JPQvjcxQNIxLaLeo6Sqz7BFkiRJUq0XXrGCrAsvY9XI50jr34CkVgsii5rtBb1egkato9+gpGrFPVskSZIk1WoFs75jSYeurBr5HABZL2ZQkBFat6jTQDj7c4MWSZvEsEWSJElSrRQOh1n51AiW7HMghT/8uObzeSEyxyQSLgCS0qDPaDjyAYhLrLxmJVUrLiOSJEmSVOsUZWeTfd4lrHr+5RLHC/6KJfvLltQb8yk02D7K3Umq7gxbJEmSJNUq+TO+JbN3fwp//LnUulWzQtQprOtyAEmbrUaELYWFhfzyyy/MmjWL7777jlmzZvHDDz+walVwRNvxxx/PbbfdViH3njx5MqNHj2batGksWrSIpKQkmjdvTrdu3ejduzdNmzatkPtKkiRJ2jzhcJicx54i+79XQW5uqbXxB+xH2vPDiWncOErdSapJakTYcumll/LBBx9E9Z4FBQVcf/31vPrqq+t8Pjc3l8zMTGbPns0zzzzD0KFD6d69e1R7kyRJkrSuosxMss4ZSO7LY0ovDIVI/d8VpF5/DaG4GvFySVIlqBE/PQoLC9f5uH79+tSvX5958+ZV2D2vu+46xowJflDXrVuXE088kbZt25KTk8O4ceP45JNPyMzM5NJLL+Wpp56iU6dOFdaLJEmSpA3Ln/Y1mb36U/jr3FLrYrZqSr1nh5HY/eAodSappqoRYctuu+3GjjvuSLt27WjXrh0tW7ZkzJgxXH311RVyv08//bQ4aGnSpAnPPvss2223XfF47969eeaZZ7j55pvJz8/nf//7H++++y4JCQkV0o8kSZKkSOFwmJyHHiN70P8gL6/U2oRuB1LvuaeJ3XqrKHUnqSarEWHLeeedF9X7PfDAA8WPBw8evE7Qslq/fv2YNGkS48ePZ8GCBYwZM4Y+ffpEsUtJkiSp9ipaupSssy4g97U3Sy+MiSH1+qtJ/d//EYqNjU5zkmo8N9beTPPnz2fWrFkAtGjRgh49emyw9vTTTy9+/Pbbb1d0a5IkSZKA/MlfsWSv/TcatMRsszUNPn6LOoOvNmiRVK4MWzbThAkTih937dqVUCi0wdoOHTqQkpICwNSpU1mxYkWF9ydJkiTVVuFwmBX3PEjG/j0omvdbqbUJhx5Coxmfk3DQAVHqTlJtYtiymX788cfix+3bty+1Ni4ujrZt2wJQVFTEL7/8UqG9VbaiIvh8Fnw0FQoKKrsbSZIk1SZFS5aw7NjeLL/86tJ/GY2Npc7QG6j/7mvENG0avQalWiIvH96bDF99D+FwZXdTeWrEni3RNHfumh3MW7RosdH6Fi1aMHXq1OLn7rbbbmW675w5c8r0PIBmzZrRrFmzMj9/U/3vSbjj+eBx+x3ghethl+0q/LaSJEkShb/OJe/d90qtiWnejLQXR5Cwf5codSXVLl//CCffCD8tCD6+5Wy46tTo3HvhwoUsXLiwTM/dktfbG2LYspmys7OLHzdo0GCj9fXr1y/xuZtryJAhZX7uRRddxMCBA8v8/E319Frb0sz8FfY9F+6/GM44AkpZbSVJkiRtmey/iJ91FXW75ZD9QWKJJQlHHk7aiMeIadw4ys1JNV84DA+PgSseDWa2rDbs7eiFLaNHj+ahhx6Kzs02gcuINtPKlSuLHycmlvyDfG1JSUnFj2v6ni1tt1v345Wr4Ow7oN/NkL2yxKdIkiRJW+aXj+GRPeDXj0nep4DE9PWWEMXFUefOW6g/9mWDFqkCZGRBz2vhkgfWDVog8jVibWLYsgVK2xy3NhpxTbB8aH0vfAQdBsD0HyPHJEmSpDIpKoSPB8PIHrD8byCYTV3vqFxi0ooAiGnVkgYTPyB10CWEYnzpI5W3STNh7wHwxmeRY/vsDI8Pin5PVYXLiDbT6tOFAFatWrXR+rVrUlNTy3zfwYMHk56eXqbnRmO/FoBtt4YvHoNBD8Njb6w79vMf0OV8uON8GNjTZUWSJEnaAlkL4ZVTYN6nEUMxWzWn/vDrWfH8p9R7/AFiGjashAalmq2oCG5/Dq4fDoWFkeOX94GbB0BCfPR66tmzJ507dy7Tc+fMmbNFW3eUxLBlM9WtW7f48dKlSzdav2zZshKfu7nS09Pp0KFDmZ8fLcmJ8PBlcPBecM6dkLl8zVh+Afz3QRg3HYZdCY3SKq9PSZIkVS/hwkJCsbHw0/vw6qmwcnFkUZsj4ISRxKc2pv7xZ0e/SakW+GsJ9L8FPp4WOdY4DYZfA0d0in5f0ToYZlM5l24zbb/99sWPFyxYsNH6tWvWfm5Nd+JBMO0p6Ng2cuzNSbDXWTDxm6i3JUmSpGoob9wnLNl5TwqGnQejDo8MWmLi4LA7oe+bkOq+LFJF+eAr2POskoOWg/aA6cMqJ2ipigxbNlObNm2KH8+cObPU2oKCAmbPng1ATEwMrVu3rtDeqprtt4FPH4QrTo4cW7AIul0KQ0ZAQUHkuCRJkhQuLGT59TeztPvRFP78K5nXjCS83gacpLWCsybA/oPAfVmkCpGbB1c9Bv8ZBP+st8AjJgZuOAM+uAeaN6mc/qoifxptpgMOOKD48cSJEwmHwxusnTp1avHpRR06dFhnv5faIj4ObjsP3r4DmtRfd6yoCG4cDgcOhF/+qJT2JEmSVEUVLvyTpd2PYsWQ24JzZYGCf2LJ/jBhTdHOx8AFX0Orsu3TIGnjZs8L9t+884XIseZN4KN74brTITY22p1VbYYtm6lly5a0b98eCJYIffjhhxusHTFiRPHjI488sqJbq9IO7whfPw3d9ooc+3J2sKxo+DvF/45KkiSpFsv94GOW7NGZ/E8mRozlTI9n1Q+JcMR9cMrrkOIGuFJFCIfh4TGwz9kw4+fI8SM7w/Sn4MA9ot5atWDYspbJkyeTnp5Oeno63bp122DdwIEDix8PGTKE3377LaLm2WefZfz48QC0aNGCE044ofwbrma2aQTv3QU3DYhMPZfnwIDb4aTBsCSzcvqTJElS5QoXFJB9zQ0sO+xYwotK2AD3X1nv1aNwu94ecSlVkL+WwJH/BxffD6vy1h1LiIe7L4Q3boXG9SulvWqhRpxGNH/+fF599dV1Pjdnzpzix7Nnz+bee+9dZ7xdu3YceuihZbrfgQceyAknnMCYMWNYtGgRPXv25KSTTqJt27bk5OQwbty44qAlPj6eW265hYSEhI181dohNhau6QeH7A39bw6OhF7baxPgy+/g6avh0H0qp0dJkiRFX+GCP8g8+XTyP/ui9MKkROrcewcxW28VncakWuaNz+CcO2BxCW+Ct9senrkWdq9d25GWSY0IWxYuXMhjjz22wfE5c+asE74AHH/88WUOWwBuuukmQqEQo0ePJjs7m6effjqiJi0tjaFDh9Kpk9sxr69j2+C0ossfhqfeWnfszyXBxksXnwi3ngNJiZXToyRJkqIj9+33yDztHMJLMkqti925DWkvjyK+/a5R6kyqPZavhMsegmFvlzx+8Ykw9BxI9vXZJnEZURnFxcUxdOhQRo0axTHHHEOLFi1ITEykXr167LLLLlx44YW89dZbdO/evbJbrbLqpMDjV8Dom6FRWuT4A6/CvufCt79EvzdJkiRVvHB+PtlX/I9lR5240aAlqf8pNPxqgkGLVAGmfA97Dyg5aNmmEbx7F9w70KBlc9SImS0dO3aMmLkSra/TsWNHOnbsuMX3rs2O6xrMdDnrNnh/yrpj382FjufC0LPhkpM8zU+SJKmmKPztdzJ7n0b+5K9KL0xJpt7D95J8+qnRaUyqRQoK4LbnYMhIKCyMHD+uKzw+yL1ZysKXrqoStmkUHA/9wCWQtN72Nnn5MOgROOxyWPBP5fQnSZKk8rPq9TeD04Y2ErTEttuFRl9NMGiRKsCvC+HgS+D6pyODltRkePL/4NWbDFrKyrBFVUYoBBeeAFOeKHnDpXHTYY8z4ZXx0e9NkiRJWy6cm0v2pf9H5vEnE15W+hGUSWedRqMpnxLXdpcodSfVDuEwjHgX9jwTPp8VOd6pLXw9DM480gO/toRhi6qcdtvDF4/CFSdH/uVemg19boDTh0LWikppT5IkSWVQ8OtcMvbrzsr7Hym1LpSaQr1nh5H21MOEUlKi1J1UOyzJhN7XB1s4LM9Zdyw2Fq4/Az59EHZsXjn91SSGLaqSEhPgtvPgw3ugRZPI8WfeD5LYSTOj35skSZI2z6pXXyNjzy4UTPu61Lq43dvTcPokkvv2jlJnUu3x0dRgpcDoTyPHdmwOEx6EwadDXI3Y2bXyGbaoSjt4L5gxHHp3ixyb9xccdDEMHgb5BdHvTZIkSRuXN+EzMk/qRzgru9S65PPOouEX44hrs1OUOpNqh1W5cPlDwR6YCxdHjp95JEx7Cjq1i35vNZlhi6q8BnXhucEw6lqol7ruWFER3DIKul4IP86vnP4kSZK0YfF1fiaxbXiD46G6dUh7aST1Hr2fUHJyFDuTar6Zv0Cn8+C+VyLHGtaDV24KNsKt64q9cmfYomohFIK+PYKNmrruFjn+1Q/BufBPjA02fJIkSVIly1sBY04n9NoZ1DtiJbH1iyJK4vbag4bTJ5HUq2clNCjVXEVFcN/LsO+5MPPXyPEe+8A3w+GEA6LfW21h2KJqZbtt4OP7YOg5EBe77tjKVXD+3XD8/2DRssroTpIkSQD8PQse2we+HglATBKknZALMWveFUseeB4NP/+YuNY7VlaXUo30xyI4fBBc/jDk5a87lpgA9w2Ed+6AZo0rp7/awrBF1U5sLFzZFz5/FNJbRY6/OQl2PwPe+TL6vUmSJNVq4TBMGxYELYu+X2covlkRdc/ch1BaPdJGP0e9B+4ilJhYSY1KNdPoT4NNcD+eFjm2247w1RMw8ESIMQmocP5frGpr73SY+iScd2zk2N8ZcPSVMPC+YMaLJEmSKlhuNrzaD14fAAXr/QKWWBdOeoHkJ8bT6PvpJJ1Qwi9wksosawWceSv0GgwZWZHjl/eBLx+DdttHv7fayrBF1VpKEjx8GbxxKzSpHzn+yGuwz9kw/ceotyZJklTjhVesYPl1Qwj/8iU82gG+fS6yaJs94fzpsFsfQqEQsdtsHf1GpRrs81mw11kw8r3IseZN4MN74Y7zgyVEih7DFtUIR3UJNng6onPk2A+/Q5fz4Y7nobAw+r1JkiTVRAXfzWbJvgey4uY7yDqpGywp4d2tjhfB2Z9Do9bRb1Cq4fIL4PphcOBAmPtn5PhJB8OMp6HbXtHvTYYtqkG2aghjbw1muiSvt/w3vwCufhx6XAbzSvhBJEmSpE0TDofJGTaSJfscQOHsHwBY9XUMOTPXOr0gKQ36vApHPQjxSZXUqVRz/TgfDrgIbh4VnDy0tropMOIaeOH64HhnVQ7DFtUooVCwh8u0p4I9Xdb36QzY7Qx48FVnuUiSJG2uouxssvoNIGvAhZCz7r4s2e8kUrAkBM33gQu+hnYe5yyVt/wCuP25YBPcKd9Hju/fPpjN0u+w4LWRKo9hi2qk9Fbw2cNw9amRP2RW5MClD0LXi2BWCWfOS5IkKVL+NzPJ6NCVVc+9VOJ4OD9E5nstCPf9EBq4C6dU3qbNgU7nwjVPQG7eumNxsXDzABh3P2y3TeX0p3UZtqjGSoiHm8+G8ffDtiXswzZ5NnQ4O1jnuP4PK0mSJAXC4TArHx9GRseDKPzx51JrQy12JrzKX6yk8rRyFfzfo9DpPJhRwl/BNi3/faO5H8TGRo6rchi2qMbrujt8PQzOOSZyLL8gWOe411kwaWb0e5MkSarKirKyyOxzGtnnXQK5uRsuDIVIvfb/aDDuHWKaNIleg1IN99FU2P0MuPvFyL1ZQiG45CSY+iTss0vl9KcNM2xRrZBWBx69PJhWt1OLyPEffg82mLro3uCMekmSpNouf/oMMvban9yXx5RaF9O0CfU/GEudmwYTiouLUndSzZaRBWfdBoddDr8ujBzfdXuY9AjccxGkJke/P22cYYtqlQP3CDaMuvrUYF3j+h59HdqfBm99Hu3OJEmSqoZwOMzKBx8lo3M3Cn8pfYO7hG4H0nDGFyR2PzhK3Uk1WzgML4+Ddv1hxLuR4wnxcNMA+OpJ6Ng2+v1p0xm2qNZJSgz2cpnyBHQo4cSiBYvg2Kvh5Bvhn6XR70+SJKmyFC1bRuaJfcm++ArIK2XvlZgYUm/8H/U/GEvsNiVsjidpsy34B467ZsOvQ/ZvH2yPcE2/IHRR1WbYolpr99bB1Lu7LoDkxMjx1YnyyPeChFmSJKkmy58ylSV77kfumLGl1sVsszUNPn6LOoOvJuRunNIWKyoKZtjvuoEZ9nVT4KH/wvgHYOdto96eysiwRbVaXBz8tzd8OwIO2TtyPCMLzrwVDh8Ec/+MenuSJEkVLhwOs+KeB8nYrztF834rtTbh0ENoNONzEg46IErdSTXbD7/BwRcHe0dmr4wcP6oLzBoJ5x8HMb56r1b8dknADs3g/bvh6auhQd3I8Y+mwm6nw70vQUFB1NuTJEmqEEUZGSw7tjfLL7+69F9yYmOpM/QG6r/7GjFNm0avQamGysuHW0bBnmfBZyWcitq0AbxwPbw+FFr4V65aMmyR/hUKwWmHw3ejoFe3yPGVq2DQI7DfBfBNCefbS5IkVScFs79nyR5dyHvznVLrYpo3o8En75J69SBCvrUubbEp38O+58DgYUHosr7T/7PmNUkoFP3+VD78aSmtZ6uGa6XITSLHp84Jfjhe+ySsyo1+f5IkSeUhpn48odzFpdYkHHFYsGxo/y5R6kqquZavhMsegi7nw8wSDvpaPdt+2FXQsF70+1P5MmyRNuDo/WDmSLjg+MixgkK49dlg2t+nM6LemiRJ0pb55WNintmftGOWQmwJJwHExVHnzluo/+YrxDRuHP3+pBrm/Smw2xlw/yuRh2/ExMDlfeCb4dC9Q+X0p/Jn2CKVol4qPHgpTHgIdm4VOf7jfOh2CZx3F2Quj3p7kiRJm6eoED6+Hkb2gOV/E791EXV7rHvEc0yrljSY+AGpgy5x2ZC0hRYvg9NugSOugN/+ihzfvTV8+RjccT6kJEW9PVUgf3pKm2C/9jB9GFx3GsTHRY4/+WZwTPTrE6PfmyRJ0ibJWgjDD4FPhqzz1nry3gUkto8HIPHYo2j09SQSOu1bWV1KNUI4DM9/GLxGePaDyPHEBBh6Dkx+HPZOj35/qniGLdImSkyAG86EqU9Cx7aR438ugZ7XQq/B8NeS6PcnSZK0QT+9D4/sAfM+jRgKtfkP9d6bRt0nHiTttReIadgw+v1JNcjvf8PRV0G/m2FxZuT4gXsES4au7FvyG7mqGQxbpM206w4w8SG4dyCkJkeOj/40SLCHvR25HlOSJClaCr6bDYUF8MHVMOpwWLFo3YKYWDjsDjj1LWKa7UDK2WcQ8ugTqcwKC+HhMdD+NHj3y8jxtDrw2CD46F7YqUX0+1N0GbZIZRAbCxefCN8Oh0NLmGW7bDmccwf0+C/8vCD6/UmSpNorXFjI8utvZkn7juQMaA8Tb4ssSmsJZ02E/a8IdueUtEW+mwsHDoSL74flOZHjx3WFWSPh7KP9K1db+G2WtsB228A7d8Coa6FRWuT4+K9h9zPgzuehoCD6/UmSpNqlcOGfLO1+FCuG3AbhMFnP/U7BovVmq+x8DFwwA1p1rpQepZokNw9uHA57D4Avvosc37ohvHITjL4ZmnmwV61i2CJtoVAI+vaA70bBKT0ix1flwVWPQ6fzYPqP0e9PkiTVDrkffMySPTqT/8laO/bnh1g2JolwPhAbD/+5F055HVLcl0XaUl/Mgg5nw5ARkF/CG6sDjgpeI5xwQNRbUxVg2CKVkyb14Zlr4a3bodVWkeNf/xQELlc9BitXRb09SZJUQ4ULCsi+5gaWHXYs4UWLI8YLF8WQNb4RDJgEXS4N3imSVGbZK+Hi+6DrRTB7XuR46+bBviyPXwH160a7O1UVhi1SOftPJ5g5Agb2jPxdprAQ7nwB9jgTxk2vlPYkSVINUrjgD5Ye/B9W3npXqXWrvg1TkNsoSl1JNdfbXwQb4D78WuRhGLGxwQlDM4bDwXtVTn+qOgxbpApQJwXuuxg+exjabR85/ssfwea5Z98BS7Oj358kSar+ct95P1g29NkXpdbFpu9Ew8mfErfjDlHqTKp5Fi2DvkPgmKtg/j+R43u1gSmPw9BzIDkx6u2pCjJskSpQp3Yw9Um44QyIj4scf/pt2LV/cFy0x0RLkqRNEc7PJ/v/rmXZkT0JL8kotTap38k0nDqR+N12jVJ3Us0SDsMz70O7/vDix5HjyYlwx/nwxaOwx07R709Vl2GLVMES4uG602H6MOhSwu85f2VAr8HQ81r4Y1HU25MkSdVI4W+/s/SAw1h5532lFyYnUe/pR6k38gli6tSJSm9STTPvT/jPFXD6UFiSGTnebS/4Zjhc3gfiSnhjVbWbYYsUJW23g08fhAcvhTrJkeNvfAa7ngaPj4Wiomh3J0mSqrpVb7zFkj27kP/llFLrYtvuTKOpE0k+ox8hN8OVNlthIdz/CrQ/HT78KnK8fh146kr44B7YsXnU21M1YdgiRVFMDFxwPMwaBUd0jhzPWgEX3A2HXApzfo96e5IkqQoK5+WRfen/kXlcH8JLl5Vam3Rmfxp9NYG4trtEpzmphvn2F9jvArjsoZJPED3xoOA45zOO8GAvlc6wRaoELZvC2FvhucHBkdHrm/AN7HkW3PoM5BdEvT1JklRFFPw6l4z9urPy/kdKrQulplDvmadIG/YIoZSUKHUn1RyrcuG6p2Cfs+GrHyLHmzWGMbfASzfC1h7spU1g2CJVklAI+hwSJOP9D48cz82Da5+Cfc+Br76Pfn+SJKlyrRr9Ohl7dqFg6vRS6+J225WGUyeSfGqfKHUm1SwTv4G9BsDQZ6CgMHL8vGNh1kg4dv/o96bqy7BFqmSN0mD41fDeXbDd1pHj3/4CXS6AQQ/Dipzo9ydJkqIrvGoVWRddRuaJpxLOyi61NvncM2n45Xjidk6PUndSzZG5PFjCf9DFJS/hT28FnzwAD18Gae4zrc1k2CJVET32gW9HwH97BXu7rK2oCO59GXY+NTguurCExF2SJNUMhXPnkfPU8FJrQnXrkPbiCOo99gCh5BJ23pe0QfkF8OhrkN43OJxifXGx8L/+MP0p6Lp79PtTzWDYIlUhqclw14Xw+SOw246R4wsXw9l3wN4D4L3JEA5Hv0dJklSB8lYQ9/3t1O2+fIMlcXvtQcPpk0jqfWIUG5Oqv3AYXp8Iu50OF90Hi5ZF1uy7C0x9EoacBUmJUW5QNYphi1QF7bMLTHkCbh4AiQmR4zN/hSP/Dw67HGb8FP3+JElSBfh7Fjy2D3w9guQ9CkhqF7lLfvJF59Lw84+Ja13CuzKSNmjybDhoIPS8Fn6cHzmekgT3XASfPQzt/eulcmDYIlVR8XFwdT/4ehh071ByzcfToMPZcPpQmP9PdPuTJEnlJByGacPg8X1hUbArfigEdY/IJbZhUfBxWj3SXn2Weg/eTSjRt9ulTfXLH9DnBuhyPnw2s+Sao7oEy/kvOQliY6PZnWoywxapiktvBe/fDe/cCe13iBwPh+GZ92HnvnDNE8FGX5IkqZrIzYZX+8HrAyB/3Z3wY+rWIe3RG4jv2oVGX39OUs/jKqdHqRpakgmXPQTt+sMr40uu6ZAO4+6HN26F7beJbn+q+eIquwFJm+awfaH73jDqfRg8LNi/ZW2r8uD252DYW3DdaXDOMZAQXzm9SpKkDQuHw4RCIfjzG3ipFyz5MbJomz2h90vEN9qJBiddEdRL2qhVufDQGBj67IbfhNxua7j5bOjdLfJgCqm8+J+WVI3ExsIZR8Cc5+CmAVA3JbJmcSZc8gC0Pw1Gf+omupIkVSUF380mY58DyH9uMDzRseSgpeOFcPbn0GgnAIMWaRMUFcFzH0Lb/nDlYyUHLQ3qwl0XwOxn4OTuBi2qWP7nJVVDKUlwTT/48Xk4/7iS15b+/Af0GgwHXASfz4p6i5IkaS3hcJic4c+wZJ8DKJj2NZmX3EXRytx1ixLrQe9X4KiHID6pchqVqqHx06HjudD/Zvjtr8jxhHi4rHfwu/N/e5d8AIVU3gxbpGqsaQN46L8wcwQc17Xkms9nQdcL4aTB8NOCqLYnSZKAouXLyep/Nllnng85qwAoXBJD9rsJa2agNu8AF3wNu3qcs7SpvpsLR18F3f8L00uYJAbQ55BgJsudF0DDetHtT7WbYYtUA6S3gtE3w6cPQse2JdeM+RR27Q+X3A+Ll0W1PUmSaq38b2eR0aErq559MWJs1cx4Vn0bB50vhQGToGEJO+FLivDnEjjnDtjjTHjni5JrDtwDvnwMnhvs5reqHIYtUg2y/24w6RF48QbYoVnkeEFhsGHYTqcEm+nm5EbWSJKkLRcOh1n5+DAy9j2Qwjk/bbAu68O6FOx0IcS5rkHamOUr4Yanoc0pMOztYJ+W9e3cCl4fCh/fB/vsEvUWpWKGLVINEwrBSQfDd6Pg3oElT5fMWhEcE73LqTDqvZL/oZIkSWVTlJVF5smnk33eJZBbyjsboRCpgy4ldvvtotabVB0VFMATY6FNX7hpJKxcFVmzVUN45HL4ZjgcvV/wO7FUmQxbpBoqIR4uPhF+eh4G9Sl5I7D5/8AZt8I+Z8NHU6PfoyRJNU3+9Blk7N2V3JdGl1oX07QJ9d9/gzo3DSYUFxel7qTqJRyGtz4Plgudfzf8nRFZk5IE150WnNZ57jHgXydVFYYtUg1Xvy7cfj58/wz07VFyzYyf4bDL4YgrYOYv0e1PkqSaIBwOs/Khx8jo3I3Cn0v/xzT+4ANoOOMLEnt0i1J3UvUz9QfofikcezV8/1vkeEwMnHVkELLccCbUTYl6i1KpDFukWmLbrWHUtfDVk9Btr5Jr3p8Cew2AAbfDH4ui258kSdVV0bJlZJ50KtkDB0Fe3oYLQyFSb7iGBh++Sew2W0evQakamfcn9B0SHOX8yYySa/7TCb4eBk/8HzRrHNX2pE1m2CLVMnu1gQ/ugTdvh3bbR44XFcHwdyC9LwweBtkro9+jJEnVRf6UqSzZcz9yR79Ral3M1lvR4OO3qHP9NYRiY6PUnVR9LM2GKx6BXfrBix+XXLPnTvDhvfDW7bCrh3epijNskWqhUAiO6ATTn4LHr4BtGkXW5OTCLaNgp5Ph0dcgvyD6fUqSVFWFw2FW3PsQGfv3oGheCWsc1pLQoxuNvvmChIMPjFJ3UvWRmwf3vhT8znnPS5CXH1nTaisY+T+Y8sSGZ2hLVY1hi1SLxcXBgKP+Xet6BqQmR9YsWgYX3Qe7nwGvTww2KpMkqTYrysgg87g+LL/sKsgv4ZXhajEx1Lnleuq/9zoxTZtGr0GpGgiHgxks7frDoEeCmS3rS6sDt50b7D146qHBPi1SdVHj9mr+6KOPGDt2LDNnzmTx4sXUqVOHVq1a0b17d/r06UPdunXL5T5XXXUVr7322ibXjxo1io4dO5bLvaXylpoM150OZx8NN46Ap96KPA56zu/Q81rouluw4W7HtpXRqSRJlSvv8y/J7HM6RfMXlFoX07wZaS8MJ6HrflHqTKo+JnwD//cIfPVDyePxcXD+cXBtf2iUFtXWpHJTY8KW5cuXM2jQIMaPH7/O5zMyMsjIyGDGjBk8++yz3Hvvvey1l3PPpJJs3QgevRwu7glXPR4ctbe+id9Cl/OhVze45WzYoVn0+5QkqTIUzP6epQccBoWFpdYl/OdQ0kY9QUxjd+6U1vbDb8HvmG9O2nDNiQfB0HNgx+ZRa0uqEDUibCkoKODiiy9m0qTgb23jxo056aSTaN26NZmZmbz11ltMnz6dv/76i3PPPZfnn3+enXbaqdzuP2TIEBo1KmHTi7WU5/2kirbLdvDGrfDJ13DlozB1TmTNy+PgtQlw4fFwTT/fdZAk1XxxSX+StHuIVdM3UBAbS51bbyTl8osJud5BKvZ3Btw4HJ56e8NZ5X7t4Y7zoVO76PYmVZQaEba8/PLLxUFL69atGTlyJI3Xeiehb9++3H777Tz99NNkZWUxePBgXnjhhXK7/3777UeLFi3K7etJVcVBe8IXj8FL4+DaJ2HeX+uO5xfAfa/AiHfh6lPhohMgKbFyepUkqcIUFcL4IfDpTdTtHib/t2QKl6wbpsS0bEHaSyNJ6OyycWm1FTlw78tw5wuwPKfkmp1awK3nwnFdg0McpJqi2kfuhYWFPPLII8Uf33HHHesELasNGjSIXXbZBYDp06czceLEqPUoVWcxMXByd5j9DNx5AdSvE1mzbDlc+Ri07Q/PfRi534skSdVW1kIY0R0+GQLhMDEJkNZzFcSt2TE+8ZgjaTTjc4MW6V+FhTDsbdj5VLj+6ZKDlib14cFLYeZIOP4AgxbVPNU+bJkyZQqLFi0CYN9996Vdu5LnncXGxtKvX7/ij99+++2o9CfVFIkJcFlv+OkF+G8vSIiPrPntL+h/M3Q6D8ZvaIq1JEnVxc8fwCN7wNxP1vl0fNMwdfu1gfh46txzG2mvv0hMw4aV0qJUlYTD8O6XsNdZcM4dsHBxZE1SQjAj+sfn4YLjg81wpZqo2octa89QOeCAA0qtPfDAA4sfT5gwocJ6kmqyhvXgrguDmS69u5VcM20OdP8vHH0VzJ4X1fYkSdpyhQXw4TUw8jBYsWjdsZhYOPR2kp+cSqPvviL1vxcR8i15ia9/hMMuh6OuhFlzI8dDITjtcJjzHNx8NtRLjX6PUjRV+xzxxx9/LH7cvn37UmsbN27MNttsw59//smSJUvIyMigYTm8CzF48GDmzp3L4sWLSUhIoHHjxuy2224cdthhHHLIIf4DrBpp+23g+euDWS7/92hwhN/63vkC3psMZx0J158B25S+j7QkSZUmXFjIygcfI7nnIcS8fzb89llkUVpL6PUitOpCCIjbqXXU+5Sqmt//huueCpaSh8Ml1/TYB24/D3b3r4xqkWoftsyduyY23ZRNalu0aMGff/4JwK+//louYcvqzXkB8vLyWL58OfPmzWPs2LHssssu3HPPPeywww5bdI85c0o4DmYTNWvWjGbNPJ9XFWOfXWDc/fDm53D1Y/DD7+uOFxXBk2/C8x/B5b2Dq05K5fQqSVJJCv/8i8y+Z5I/fgL5w2NIOzo7cv+I9KPhhOGQ4jsHEkDmcrjtObj/VcjNK7lmtx3h9vPh0H2i25tqp4ULF7Jw4cIyPXdLXm9vSLUPW7Kzs4sfN2jQYKP19evXL/G5ZZGSkkKnTp3YbbfdaN68OfHx8SxZsoSpU6fy0UcfkZ+fz/fff0+fPn144YUX2HHHHct8ryFDhpT5uRdddBEDBw4s8/OljQmF4Jj94IiOwZF+Nw6Hf5auW7MiB4aMgCfGBrNczjwC4qr9TyBJUnWX++E4sk49i6J/guVCud8WkdMijpS9CoKCmDg47A7ofKk7eEpAXj48/gbcNAqWZJZc07wJDDkL+h0KsbHR7U+11+jRo3nooYcqu41i1f6lzsqVK4sfJyZu/MzZtWtWrFhR5vv27duX6667jtTUyMWGp556KvPnz+fiiy9m9uzZZGZmcskllzB27FhiYqr9NjnSBsXFwXnHQt8ecNcLcM/LsHLVujV/ZcD5d8ODo4Nj/o7s7O+ukqToCxcUsOKGW1gx9K6ItQ/ZHyQQ37yQ+PRtofdL0GLfSupSqjrCYRj9KfzvCfj5j5Jr6qbAlafAJSdBSlJ0+5OqGl/5l1H79u1LDFpWa9myJcOGDaNRo2Cq6U8//cT7778frfakSlU3BW48K9gA7cwjg+Oj1zd7Hhx7NXS/NNhQV5KkaClc8AdLux3BilvuLHmTiYIQmW81pqj/ZwYtEvD5LOh6IfS+vuSgJS42OFnox+fh6n4GLRLUgJktKSkpZGYG89dyc3OJ28i6hNzc3OLHpYUl5aFhw4b079+fe++9F4BPPvmE//znP2X6WoMHDyY9Pb1Mz3W/FlWWZo3hyf+DS06EKx8LNstd3yczYN9z4OTucPMA2G6bqLcpSapFct/9gMx+AwgvySi9sF5zirJyiWkSnb6kquinBXD14/BaKQe5Hn8ADD0H2rSMXl9SSXr27Ennzp3L9Nw5c+Zs0dYdJan2YUvdunWLw5alS5duNEBZtmzZOs+taB07dix+/Msvv5T566Snp9OhQ4fyaEmKul13gLfvgI+nwZWPwtc/Rda88FEwNXVgT7j6VGhQ8X89JUm1SDg/n+XXDmHlHfdutDbp1D7UffQ+YurUiUJnUtWzaBncNAIeHwsFhSXXdGoLd1wA+5V+IKwUNVXtYJhqv4xo++23L368YMGCjdavXbOlJwRtirU37d3SDXml6u6QvWHKEzDiGmjZNHI8Lx/ufhHanAL3vbzhne0lSdochb/PZ+mBh288aElOot7Tj1Jv1JMGLaqVcnLhtmeD38Uefq3koGXH5vDSjfDZIwYtUmmqfdjSpk2b4sczZ84stXbx4sXFxz43atSoXI593piMjDVTVKMxk0aq6mJioN9h8P2zwQa59UqYjJaRBZc/DO36w0vjSl5OL0nSplg19m2W7NGZ/C9KWMu6lti2O9Poqwkkn9GPkDu3q5YpLISR78HOfeF/T0JWCeeINKwH9w6EWSPhxIM84EDamGoftnTt2rX48YQJpSwmBD799NPixwceeGCF9bS2yZPX/MO+9iwcqbZLToT/OwV+ej5YOhRXwrGAc/+EU26ELufD+1MMXSRJmy6cl0f2ZVeReWxvwkuXlVqbdGZ/Gn01gbh2baPTnFRFFBXB2Emwzzlw5q2wYFFkTWICXHFy8DvbxSdCQnz0+5Sqo2oftuy77740aRLsXDZlyhS+++67EusKCwt55plnij8+4ogjKry3JUuWMGrUqOKPDz744Aq/p1TdNK4P910M342CnhvIQKd8D0dcAe1Pg8fegBU5UW1RklTNFM6dR0bXQ1l570Ol1oVSU6g36knShj1CKCUlSt1JlS97JTz4Kux8Khx/DXzzc8l1px4KPzwLt50H9Z2kL22Wah+2xMbGcsEFFxR/fOWVV7JkyZKIurvuuovvv/8egL322mudGTFrmzx5Munp6aSnp9OtW7cSa1577TUmTJhAuJS32efPn8+AAQOKlxHtuOOOHHbYYZv855Jqm9Yt4OUh8NnD0GXXkmu+/w0uvAe2PSnYGX/+P9HtUZJU9a0a8wZL9uxCwZSppdbFtW9Hw6kTSe53cpQ6kyrfrwvhsoeg1Ylw6YPwSwnHOEOwz97UJ2Hk/6DVVtHtUaopqv1pRAC9evXio48+YtKkSfz0008ce+yxnHTSSbRu3Zply5bx9ttvM23aNCDYN2VLj3SaPXs2o0aNomnTpuy///6kp6fTqFEj4uLiyMjIYOrUqXz44Yfk5+cDkJaWxv33309sbAnrJCSto/OuMOEheH1iEKj8VMK+10uz4Y7n4e6X4IQDgimtndu5dliSarNwbi7Zg64h56HHN1qbfO6Z1L33dkLJyVHoTKpc4TB8OgPufxXenFT6suxdtw9msRze0d+rpC1VI8KWuLg4HnjgAQYNGsT48eNZtGgRjzzySETd1ltvzb333stOO+1ULvf9559/GDNmTKk17du35/bbb2fHHXcsl3tKtUEoBMcfAEd1gRHvwv2vBLNa1ldYCK+MD659doaBJ8JJB7mWWJJqm8I/FrLsmF4UTJ9Ral2obh3qPfEgSX1Oik5jUiValQsvfAwPvArf/lJ67R6t4ZKToG8P8P1hqXzUiLAFoE6dOjz22GN89NFHvPHGG8ycOZMlS5aQmppKq1at6NGjB3369CmXE4EGDBjArrvuyjfffMPs2bNZvHgxy5YtIycnhzp16rDVVlux++67c/jhh9OlSxd3tJfKKD4Ozj4aBhwFH04Nfll498uSa7/6AfrfDFc+CucfB+ccA03qR7NbSVJliUmNh8VzS62J23N30l4aSdxOraPUlVQ5/lwCj70Oj4+FRcs2XBcKwbH7BzOED9jdmSxSeQuFS9t4RJVm6tSp9O3bt/jj5557jg4dOlRiR1LVMOd3eGhMcDxhaRvlJibAKd2DXyB2c2KZJNVcf38HL/Wi4PvvWTIsGfIjXzEmX3gOde8aSigpqRIalKJj6g/BG1Mvj4f8gg3X1UuFs46EC0+A7beJXn9SVVYRr79rzMwWSbVDeit48FK46Sx4+p0gePntr8i63DwY/k5wHbwnXHwSHNnJqbGSVGOEwzB9OLx9EeTnENcY6h2eR9abicUlobR61Bv2CEk9j6u8PqUKVFAAr02EB0fDpJml17ZuHrwJ1f9wqOvhW1KFM2yRVC3VrwuX9YaLe8LYz+GBV2DityXXjv86uHZoBgN7wun/Cd7VkSRVU7nLYex58O1z63w6efcC8uYnsmoGxO2zN2kvjiBuh+0rp0epAi3NhqfehIdf2/jpjIfsHezH8p+OEFPtz6KVqg/DFknVWlxccCLRCQfA9B+D6bMvjYO8/MjaXxfCfx+EwcPgjCPgohNgx+bR71mStAX+/AZe6gVLfowc23oP6r0xkrhn3ydl0CWEEhKi359Ugb6fF8xieeYDWLlqw3VJCXDqocGbTLvuELX2JK3FsEVSjbFXGxhxDdx2brAp3GNvwD9LI+uyVwahzIOjgxOPLj4xWGrkxnCSVDUV/vY7MS1bEJr2JLxzCRTkRhbtewEcfjeh+CRSr9kt+k1KFaSoCD74Kji6+YMppdc2bwIXHBccLtC4fjS6k7Qhhi2SapytG8H1Z8BVfeHFcfDgq/D1T5F14TC8OSm42u8QhC6ndIekxMhaSVL0hcNhVo14lqwL/0vdPq1JaT45siixHhw3DHY9MfoNShVoRQ6Mej94c2jO76XXdmoLA0+EngcGpzlKqnz+VZRUYyUmwGmHQ//Dgv1cHngV3vgseIdofTN/hbPvgKsfh3OPhfOOhWaNo9+zJClQtHw52edfyqpnXwQge9RM4k+PIX6btX6IN+8AvV6Chq6TUM3x+9/w8Bh46i1YtnzDdXGxQbhy8YnQqV30+pO0aQxbJNV4oRAcsHtwzfsz2Exu2NuQWcIvMIsz4ZZRcPtz0KtbsAHvPrtEv2dJqs3yv51FZq9+FM5Za1piYYjMMYk0HJBDTCLQ+RI49HaIczqiqr9wODhN6IFX4fXPoLBww7WN0uCco+H844JlQ5KqJsMWSbXKdtvAnRfA9acHU3MfeBV+WhBZV1AIz38YXJ3bBe8anXBAsCGvJKlihMNhcp4cTvbFV0Bu5L4shUtjyHqvDmkvjCLU7vhK6FAqX3n5wcb+D46GaXNKr223ffD7SN8ekGzGKFV5vmyQVCvVSYELjg+WC703Be5/BT6aWnLtF98FV4smcOEJwaZzDetFt19JqumKsrLIOvdicl98tdS63FlQsLIV8VHqS6oI/yyFJ8bCo6/DXxml1x7ZOTi6udtebuYvVSeGLZJqtZgYOKJTcH03N3hn6dkPIKeEgy4WLAr2dBkyAvodFhyn2Ha7aHcsSTVP/tffkNmrP4U//1JqXahJY9KeHUb8PntHqTOpfH3zczCr9oWPITdvw3V1kuH0/8BFPWGnFtHrT1L5iansBiSpqmi3PTw2CH57BYaeE8xkKUlObvBuVPvT4PBB8O6XJW+6K0kqXTgcZuXDj5PR6eCNBi3xB3Wl0YwvSDz0kCh1J5WPwkJ4fSIccgnsdRaMeHfDQcv228DdF8Lvr8L9lxi0SNWZM1skaT2N0uDKvnBZbxgzITg6+ovvSq798KvgatMy2Ey332HBEiVJUumKli0ja8CF5I5+o/TCUIjUwVeRet1VhGJjo9OcVA4yl8Pwd+ChMTD3z9JrD9wj2I/l6C7gf+ZSzWDYIkkbEB8HvbsF15Tvg2m/r4wPNs9d34/z4aL74H9PBXu6XHg8bLt11FuWpGoh/6tpZPY+jcK580qti9l6K9KeG0ZCt4Oi0pdUHn5aAA+NDmawLM/ZcF1CPJx8SBCy7LFT9PqTFB0uI5KkTbDvLvDsdfDrS3BNv2D2S0kyl8PdL0Lrk+GkwTDxm+A4R0lSsGxoxX0Pk7Ff940GLQndD6bhjM8NWlQthMPw8TQ45irY5dRgNsuGgpatG8INZ8C8l+Hpqw1apJrKmS2StBmaN4GbBgSBy/MfwQOvwKy5kXVFRTDm0+Daq02wmW7vbpCYEP2eJakqKMrIIOuM88kd+3bphTExpA65ltSrBxGK8X1BVW05ufDch8GS45J+H1jbXm2CWSy9Dvb3Aak2MGyRpDJIToSzjoQzj4DxXwdHR7/9RcmzWKb/CGfcClc9Hhw1fe4xsFXD6PcsSZUl74vJZPY5naLf55daF9NsG9JeGE7CAftHqTOpbP5YFBzb/MSbsCRzw3UxMXB81yBk2a+9RzdLtYlhiyRtgVAIuu0VXD8vCKYND3+n5KnDf2fAjcPh1mehzyHBhrp7tol+z5IULeGiIlbe/QDLr7kBCgpKrU04vAdpo54gpskGjoKTqoDJs4M93F79pOQ93FarXyfYw+0C93CTai3DFkkqJ61bwH0Xw41nBpviPTi65NMH8vJh1HvBdcDuwbtdx+zn6QOSap6iBX+w4sZbSg9aYmOpM/QGUgZd4rIhVUn5BTD602Cp0JezS69NbxUsHe5/GKQmR6c/SVWTYYsklbO0OnDJSXDRCfDWF8EvZ+O/Lrl2wjfBtd3WQf2ZRwbPl6Rqr6iQ2J+HUffQZWS9llhiSUzLFqS9OIKELp2i3Jy0cUsy4ck34ZHXg2VDpTl0X7jkRDh0n2DpkCQZtkhSBYmNhWP3D65vfg5mujz/EeTmRdbO+wsGPQLXD4fTD4eBJ8JOLaLfsySVi+w/4ZW+MHc8ye0gf24MOTPi1ylJOPoI0kY8RkxDN7FS1fLd3GCp0HMfBhvgbkhKEvQ7NJjJsst2UWtPUjVh2CJJUbB7a3jqSrj1XHhiLDzyGvyVEVm3Igcefi24jugc7OvSvYMb6kmqRn7+EF49FVb8U/ypuoflkf9HLAWLYiA+njq330TKpRcS8oebqoiiInh3crDh/cfTSq9t2RQuPB7OOgoa1otOf5KqH8MWSYqiJvXhf/3hipPh5fHBEqOpc0qufeeL4Gq3ffCuWd8ewbtoklQlFRbA+BtgwtCIo9lCibGk3XUBmXdOoN6wR4jft0Pl9CitZ/lKGPleMPv0pwWl1+7XPvj3+PiuEOerKEkb4Y8JSaoECfFw6qFBgPL5rGC68msTobCEkw2+mwvn3QXXPAHnHA3nHwctmka9ZUnasMwF8Mop8NvEyLF6LaDXi8Rtux8NTy1yE1xVCXP/hIfHwNPvQObyDdfFx0Gvg4PN7DvsHL3+JFV/hi2SVIlCoeCdsv3aw+9/B8uLnnoLlmZH1mZkwW3PwZ0vQs8Dg434OrWLfs+SBFD4199knXEedc46mPifhsDKJZFF6UfBCSMgpRGAQYsqVTgcbEr/wKswdlKwdGhDGqfBecfCecfBNo2i1qKkGsSwRZKqiFZbwW3nwXWnwTMfBEuMfvg9sq6wEF4eF1wd2wZTmk88KHj3TZKiIfej8WT1PZOifxax7Iv3aXR2DjFrL3OMiYNDb4cu/3XTKVW63Dx4cRw88ArM+Ln02t12DGaxnHwIJJV8iJYkbRJ/NZekKiY1OXg37Zyj4cOpwWZ9708puXby7OC68jE4/1g4+2hoXD+q7UqqRcIFBay4cSgrbrmzeF+WoswYst5KJK1nbpCr1N8Wer0ELTtWbrOq9f5aAo+PhcfegH+WbrguFIKj9wtmjB64h/mgpPJh2CJJVVRMDBy2b3D98Fuwed+o92HlqsjaPxbBtU/BzaOCfWAGHA0d0oOvIUnlofCPhWSecgb5EyZFjOX+EEfOtEJS+h0Fxz8NyQ0qoUMpmP05+fvg5L8XP4b8gg3X1k2BM48MThbasXn0epRUOxi2SFI1sPO28PBlcPPZ8PTb8NCYYI+X9a3Kg2FvB9c2jeDIznBUFzhkb08yklR2ue99SGa/AYQXl7Avy7+yP04hfugNxBu0KMqWr4QPpsJbk+CdL2HRstLrd2wOA0+A0/4D9VKj0qKkWsiwRZKqkQZ14fI+wVTnNyYF688/m1ly7Z9Lgs12n3oLkhKCwOWoLsHVrHF0+5ZUPYXz81l+3U2svP2ejdYm9T6J2J12jEJXEsz/JwhX3vwcxn8Nefkbf063vYL9WI7oBLGxFd+jpNrNsEWSqqG4uOBEop4HwrQ5wckKL43b8HTpVXnw9hfBdf7dwRKj1cHLHju5Pl1SpMLf55N58hnkf/5l6YXJSdR76B6SzuhHyB8mqiBFRcG/d29+Dm99Dt9sZKPb1RITguW1F/eE9maBkqLIsEWSqrm902Hk/4KTjB5/Iwhdfpxf+nOmzgmuG4ZDiyb/LjfaD7rt6ekLkiD3zXfIPP1cwhml7CoKxLbdmfovjyKuXdsodabaZOUq+GhaMIPl7S/gr4xNf27b7eDk7sHG8U3qV1SHkrRhhi2SVENs0whuODO4fpwfvPP35iSYNCvYMHBDFiwKTmt4fGxwElL3f5cbHdkZtmoYvf4lVb5wXh7Lr76elfc8uNHapDP6Ue/BuwiluumFys8fi+CtL4J/w8ZNC2Zmboq42OAkodWzNndoVqFtStJGGbZIUg3UpiVc1ju4MrLg3cnBL67vT4HM5Rt+3ooceOOz4AqFYN9d4Oh/f3HddQeXG0k1WeHceSzrczoFU6aWWhdKTaHuo/eT3O/kKHWmmiwchq9/Cv6NeuvzYKnQpmpQN9h/5aguwcl9aXUqrk9J2lyGLZJUwzWsF6xX79sj2NNl4rdrZr38unDDzwuHYfLs4Lr2Kdh2azjq3+VGB+4erIOXVDOsem0sWWecRzgzq9S6uPbtSHt5FHE7p0epM9VEq3Jh3NfBv0NvfxHMZtlU6a3WzF7p0i7Yw0ySqiJ/PElSLRIfF5zG0G0vuPtC+P63Ne8mfvFdsAHhhvz2Fzz8WnDVTYFD9wl+2T2iEzSuH7U/gqRyFM7NJXvQNeQ89PhGa5PPOYO6991BKDk5Cp2ppvlrCbz9ZfDvzUdTg/1YNkVsLOzf/t9ZlvvBTi0qtk9JKi+GLZJUS4VCwQaCbbeD/zsFFi2Dd/79RfiDKbA8Z8PPzV4Joz8NrpgY6NxuzTuNu2zrciOpOij4+Rcye59GwfQZpdaF6qRS78mHSOpzUnQaU40QDsPMX9fMpJzy/aY/N60OHL5v8G/K4R2DGZqSVN0YtkiSgOC0htMOD67cPPj0m+AEiLe+CGa1bEhREUyaGVxXPw47Nl8TvHTdLZhNI6lqKVz4Jxl77Uc4u5RNnIC4PXcn7aWRxO3UOkqdqTrLzYNPZqyZMfn735v+3NX/dhzdBfb33w5JNYA/xiRJERITgmVCh+4D918Cs36FN//95XnK98E7lhvyyx9w/yvBlVYn2LTwqC7wH9+dlKqM2NgMknaDnEkbrkm+4Gzq3n0roaSk6DWmamdzZkWuLSYm2HNldTi/s7MiJdUwhi2SpFKFQtB+x+C6ph/8nRFsaPjW5/DhRtbdZy6Hl8cF1+p196t/sW7TMnp/Bkn/Cofh6xHw1oXU7ZpD/s9JFPwdu05JqF5d6g17hKQTj6+cHlWlhcMwe966+32VFsCvzf2+JNUmhi2SpM2yVUM488jgWn2ixOrlRqWdKFFYCJ/OCK4rHgnClqO6wNH7eaKEFBW5y+HNC+CbZwAIxUFaz1wynkomnBdMKYjrsFewbGiH7SuzU1UxeflrTrJ76/PST7Jb33ZbrwnZD9wDEuIrrE1JqlL81VaSVGZJicG7k0d0gofDMOOnNb+MT51T+nN/nA/3vBRcDerCfzr9uxnivsHyI0nl6K9v4aVesHjdv5hxDcPUPWVrskb8TcolF1Dn9psIJSZWUpOqSjKy1iwPen8KZK3YtOeFQtBxlzUBy647uDxIUu1k2CJJKhehEOzZJriuOx0WLl4TvHw8DVblbfi5S7Ph+Q+DKy4WDth9zS/qOzaP2h9BqnnCYZj6JLxzCRSUsOZv3/NJHnwPcRfPIX7P3aPfn6qUOb+v+bk9aVYwI3FTpCZDjw5rlgdt1bBi+5Sk6sCwRZJUIZo1hnOOCa6Vq4LAZfUv8X9lbPh5BYUwbnpwXfZQcDT16uClU9tg7xdJpct5/mUSD+pIzGdXwcwXIwsS68GxT0L7XgAGLbVUQQF8NnPNz+afFmz6c1s0WfOz+eA9g5mOkqQ1DFskSRUuJSnYm+Xo/YKjoqfNWfPL/YyfS3/u7HnBdcfz0DgNjugc/HJ/6D7BZouS1ihavpzsCy9j1ajnSWyXSNpxGZFLOJrtDb1fgoY7VkqPqlzLsuG9KcHP3/cmBzMLN1WH9ODn+FFdYPfWLg+SpNIYtkiSoiomBvbZJbhuPAvm/xP80v/mJBj/dbAR44YszoRR7wVXQnyw2eLR/76zuu3WUfsjSFVS/sxZZPbqT+EPPwKQ+10uK5vFkdqxYE1Rp4vhsDsgzmkItcnPC9YE3BO/DWYQborkRDhk7+Bn7JGdgxmLkqRNY9giSapULZvC+ccF1/KVwXHSb30eHC+9aNmGn5eXDx9+FVwX3w/td1jzjus+OwehjlQbhMNhcp4aQfbFg4Ijwtay/OMEEloUEb9jPTh+OLQ9rnKaVFQVFgZHMq8OWL7/bdOfu02jNcuDuu0VzEyUJG0+wxZJUpVRJwWOPyC4CgthyvdrXizMmlv6c2f+GlxDnwk2Zzzi39ONenQINm+UaqKi7Gyyz72YVS+8soGCEMvG1qPR1E+J2W636DanqMpaAR98FcwSfHcyLMnc9OfuudOagGWvNobVklQeDFskSVVSbCx03jW4bjkH5v3573Kjz+HTGZBfsOHn/p0Bw98JrsSE4N3Zo7rAUZ2hRdOo/RGkCpX/9TfBsqGffym1LhyTRuHiAmK2i05fip7N+bm4tsSEYFPbo/fz56IkVRTDFklStbDdNnBRz+DKWgHv/7vB48bewc3Ng3e/DK4L8R1cVX/hcJicR58k+7KrITe31Nr4g7qS9tzTxDbbJkrdqSIVFQUz/t6ctGkz/tbWtEGw74oz/iQpOgxbJEnVTr1UOOng4NrcvQm+/im4bhoZbPa4+sXHIXsHm0FKVVlRZiZZAy4k99XXSy8MhUi97kpSB19NyPPSq7W197J650v4Z+mmP7f9DsHPt6P3cy8rSYo2wxZJUrUWGwv77xZct5237qkbE74NwpgNWbgYnnwzuNY+deOoLsEmkVJVkj91Opm9+1P467xS62K2akra80+T0O2gqPSl8rf2KW2fzAhm6G2K+Dg4aM/glLYjOwczAiVJlcOwRZJUo7RuAZf2Cq5l2fDe6uVGX8Ky5Rt+Xk7umpAGgneBVwcvu7eGUCg6/UvrC4fD5DzwCNlXXAv5pZyNDiR0P5h6zz5F7FZbRak7lYeiIpg2Z83PoBk/b/pzG6UFG4IfvR8cug/UTam4PiVJm86wRZJUY9WvC30OCa78Apg0c82LmZ8WlP7cr34IruufDo6nPrIzdN0ddm4FbVp6HKqio2jpUrLOPJ/c198qvTAmhtQh15J61eUuG6oGlq+EOfNhzu/BxrZvfwF/Ltn057fdbk0Y3KltMMNPklS1GLZIkmqF1dPrD9oT7roweJGzOnj5bGbwzvKGzP8HHnsjuFZrtVUQuuzcCtJbrXncvImzYFQ+8id/xbLep1H02++l1sU024a0F4aTcMD+UepMm6KoKPjZMWc+/Pg7/PA7/Dg/+N8/Fm3e14qLhQN2XxOw7Ni8YnqWJJUfwxZJUq2U/m9Icnmf4DSjdycHwcv7U4LTjjbm97+D66Op634+NRnSW64JX9q0Cv53pxbOhtGmCRcVsfLeh1h+1WAoKP0s34TDe5A26glimjSJUnda3/KV8OOCIMCd8/uaGSs/zg+WJ5ZVg7rwn05BuHLYPsFMPUlS9WHYIkmq9RqlwamHBldePkz8ds3RqnP/3LyvtSIHpv8YXOtrtdW/Ic96QUyzxs6GUaAoM5PMvmeR9/Z7pRfGxlLnlutJueJSQh4xU+GKimDBoshAZc7vwefLS5uWa2av7LcrxPmbuiRVW/4IlyRpLQnxwalEh+wN9w6E2fOC0OWTGcELq9/+KvvXXj0b5sOv1v18neTgRdbqICZ9raVJHkddu4QSEyj6eUapNTEtW5D24ggSunSKTlO1yIqcNUt9flwrUPlxAaxcVb73CoVgu62Dv+urT0Jr07J87yFJqjyGLZIkbUAoBO22D64r+wafW7kq2Fz3h9/X3YdhzvzghVpZLN/AbJhQaN3ZMOktIX3b4H+dDVMDZf9J6NVTSev+KxnzkgnnRn6DE44+grThjxLTyLPJyyocXm+Wylp/j+f/U/73q5sSGaLu3Co4Oc0wVZJqLsMWSZI2Q0pScBT07q3X/Xw4HGx6ufY74qsf//532e4VDgczaX77Cz6Ysu5YneQ1L97WfiG3ky/gqqefP4RXT4UV/xDXAOodlUvm6LU2+YmLo87tN5Hy34sImbJtkpWr1p2l8sNva4LRipilsu1Wa5YGrr159jaNDEYlqTYybJEkqRyEQtCiaXB177Du2IqctWbDlNOLvuU5MG1OcK3fhy/6qpHCAhh/A0wYGqRr/0rapZC8DgXkTI0jZttW1H9pJPEd96m8Pquo9UPOH3779/SfLQg5S2PIKUnaVIYtkiRVsNRk2GOn4FpbURH8sbh8lzOEwzDvr+BafzbM6uUM6wcxO7WAJF8oRl/WH/DyyfDbxMixei2o++xIQsPGkXr15cQ0aBD9/qqQ1bNU1j9GeUuW721IxPK9tcIVl+9JkjZVjQtbPvroI8aOHcvMmTNZvHgxderUoVWrVnTv3p0+ffpQt275n5s3efJkRo8ezbRp01i0aBFJSUk0b96cbt260bt3b5o2bVru95QkVX8xMdCyaXCVNBtm9YvJtcOYLdmoM3slTJ0TXGtbvVFnm5aw87b/btb77+OtG/risjwVLV5MqGFDQj+/D6P7w8rFkUXpR8EJIwilNKLuHd2i32QlCYdh4eJ190Na/d9/RcxSSU1eEzquP0vFY9olSVuqxoQty5cvZ9CgQYwfP36dz2dkZJCRkcGMGTN49tlnuffee9lrr73K5Z4FBQVcf/31vPrqq+t8Pjc3l8zMTGbPns0zzzzD0KFD6d69e7ncU5JUO6Qmw55tgmttFXEEbTgcHHE99094f73ZMPVS/50Ns14Q42yYzZf70Xiy+p5JytGtSd3mo8iCmDg49DboclmNTrhWbzK9/n/DP84PlseVN49clyRVhhoRthQUFHDxxRczadIkABo3bsxJJ51E69atyczM5K233mL69On89ddfnHvuuTz//PPstNNOG/mqG3fdddcxZswYAOrWrcuJJ55I27ZtycnJYdy4cXzyySdkZmZy6aWX8tRTT9Gpk0c0SpK2TExM8OKx1VbQY70tPJavDGa+lPQiNie3bPfLWgFf/RBca1v72Nq1l1ns3Aq2cjbMOsIFBay44RZWDL0LwmGWP/0P8f1jSGhZtKao/rbQ60VoWTN+V1g9S2XOfJjz7z4qa89SWWt7mnKRmrxWKLhWoOIsFUlSZakRYcvLL79cHLS0bt2akSNH0rhx4+Lxvn37cvvtt/P000+TlZXF4MGDeeGFF7bonp9++mlx0NKkSROeffZZtttuu+Lx3r1788wzz3DzzTeTn5/P//73P959910SEhK26L6SJG1InRTYq01wrW31bJj1j6v+4fdgc9GyWHs2zHuT1x2rl7rW8oy1gpjWzWvfbJjCPxaSecoZ5E+YtOaT4RCZryXS6OwcYpKBXY6D45+G5Oq3L0tO7r+bP/8WueytomaprL3p8+rHzZsY8EmSqpZqH7YUFhbyyCOPFH98xx13rBO0rDZo0CC++OILvv/+e6ZPn87EiRPp2rVrme/7wAMPFD8ePHjwOkHLav369WPSpEmMHz+eBQsWMGbMGPr06VPme0qSVBZrz4Y5dAOzYVa/WF776OpVeWW7X9YKmPJ9cK3fR/FsmPWCmJo4Gyb3vQ/J7DeA8OIlEWNFWTFkvZVM2tO3Eup8cZX+w4fD8OeSdTdwXh3c/VYBs1RSkiKXrq2epZKaXL73kiSpolT7sGXKlCksWhS8LbfvvvvSrl27EutiY2Pp168f11xzDQBvv/12mcOW+fPnM2vWLABatGhBjx49Nlh7+umnF+8j8/bbbxu2SJKqlNJmw8z/J3I2zJz5ZZ8NU1QEvy4Mrne/XHcsrc5aAUxLSN8WGqeV7T6VLj+fxo/cRKPh95RaljsnhunT0lmRWnWClnAY/lm6bqAyZ36wuXJ5a9l03Vkqq6/mjYNgTpKk6qzahy0TJ645LvGAAw4otfbAAw8sfjxhwoQy33Pt53bt2pVQKe9GdejQgZSUFFauXMnUqVNZsWIFqampZb63JEnREBMD224dXIftu+5Y9sp1X4yvDmJ+nF/22TCZy0ueDVPdNF81n0d+OIP0rC9LrVsVk8T/drybF145DF4ttbRaS0mCNi0i9/Zp09JZKpKkmq3ahy0//vhj8eP27duXWtu4cWO22WYb/vzzT5YsWUJGRgYNGzas0HvGxcXRtm1bpk6dSlFREb/88gu77bbbZt9TkqSqom4K7J0eXGsrKgo2P13/uOo584PNUmu6Hkve4b4559KgYGmpdT+mpHPuLqOYk1rybNzqqEWTdcOU1Y9bNHGWiiSpdqr2YcvcuXOLH7do0WKj9S1atODPP/8E4Ndffy1T2FKWe06dOrX4uWUJW+bMmbPZz1mtWbNmNGvWrMzPlyRpU8TEwHbbBNf6s2GyVkRuoDrn92C/mNwyzoapKuKL8rh67vWc98eDG619aau+XNP6HnJiq98s1+TEtTY9XitQadMiWI4mSVJlWrhwIQsXLizTc7fk9faGVPuwJTs7u/hxgwYb38W/fv36JT63qt9zyJAhZXoewEUXXcTAgQPL/HxJkrZUvVTosHNwra2wEH7/Z70AZn4QwpT1uOpoarbyN+6afhq7LZtaal1ObDI37XofY1v2JRmoyitoUpOCUGX9Y5SdpSJJqspGjx7NQw89VNltFKv2YcvKlWt2bEtM3Ph5kmvXrFixIir3TEpK2uJ7SpJUE8XGwvbbBNfhHSu7m82z6rWxZJ15PuFlmaXWxe3alhYvj2LYLjuXWidJkmoO35/YQqVtjitJkmqecG4uWRcPIvOEUzYatCSffToNp3xKnEGLJEm1SrWf2ZKSkkJmZvCLTm5uLnFxpf+RcnPXzEku66lAKSlrFiavWrVqo/Vr15T1noMHDyY9PX3jhSVwvxZJkspHwS+/ktn7NAqmfV1qXahOKnUff5DkU3pFqTNJkmq3nj170rlz5zI9d86cOVu0dUdJqn3YUrdu3eKwZenSpRsNM5YtW7bOc8t6z9WWLi39xIHyumd6ejodOnQo03MlSdKWW/XKGLIGXEg4q/T91+J2b0/ay6OIa7NTlDqTJElV7WCYar+MaPvtty9+vGDBgo3Wr12zww47RP2eaz9XkiRVD0VLl5J1zkUbDVqSLzibhl+ON2iRJKmWq/ZhS5s2bYofz5w5s9TaxYsXFx/73KhRozId+7y59ywoKGD27NkAxMTE0Lp16zLdU5IkVZ6YuW9Q7/BlGxwP1atL2sujqPfwvYTW2hhfkiTVTtU+bOnatWvx4wkTJpRa++mnnxY/PvDAA8t8zwMOOKD48cSJEwmHwxusnTp1avHpRR06dFhnvxdJklTF5S6H0afBa2eQ1DqHlH3zI0ri9t6ThtMnkXTSCZXQoCRJqoqqfdiy77770qRJEwCmTJnCd999V2JdYWEhzzzzTPHHRxxxRJnv2bJlS9q3bw8ES4Q+/PDDDdaOGDGi+PGRRx5Z5ntKkqQo+2smPLYPzBhV/Kk6h+QRt01h8ccpl1xAw0kfEbdj2ZYmS5Kkmqnahy2xsbFccMEFxR9feeWVLFmyJKLurrvu4vvvvwdgr732WmdGzNomT55Meno66enpdOvWbYP3HThwYPHjIUOG8Ntvv0XUPPvss4wfPx6AFi1acMIJvuMlSVKVFw7D1Cfh8X1h8Q/rDIViIe2GnsRs14q0116g7n13EEpMrKRGJUlSVVXtTyMC6NWrFx999BGTJk3ip59+4thjj+Wkk06idevWLFu2jLfffptp06YBwWlA5XGk04EHHsgJJ5zAmDFjWLRoET179uSkk06ibdu25OTkMG7cuOKgJT4+nltuuYWEhIQtvq8kSapAq7Jg7Lkw88XIscS6cOxTxLXvReMz8gnFx0e/P0mSVC3UiLAlLi6OBx54gEGDBjF+/HgWLVrEI488ElG39dZbc++997LTTuVzQsBNN91EKBRi9OjRZGdn8/TTT0fUpKWlMXToUDp16lQu95QkSeWraPlysi++guQj9yHh91sh4+fIomZ7Q++XoOGOAAYtkiSpVDUibAGoU6cOjz32GB999BFvvPEGM2fOZMmSJaSmptKqVSt69OhBnz59qFu3brndMy4ujqFDh3Lsscfy6quvMn36dBYtWkRiYiLNmzenW7du9OnTh6ZNm5bbPSVJUvnJnzmLzF79KfzhR/JeHUWjASuJSV2vqNNAOOxOiHO5kCRJ2jQ1JmxZrXv37nTv3r3Mz+/YsSNz5szZ7Od07NixzPeUJEnRFQ6HyRk2kuyBg2DVKgCKskNkjk2kfp9cQiEgqT4c/zS0Pb5Se5UkSdVPjQtbJEmSSlOUnU32uRez6oVXIsbyfolj5RdFpPbaE3q9BA22i36DkiSp2qv2pxFJkiRtqvyvvyFjr/1LDFpWW/5JInk732nQIkmSysywRZIk1XjhcJiVjzxBRuduFP78S6m18ft3IbZ16yh1JkmSaiLDFkmSVKMVZWaS2asf2RdeBrm5Gy4MhUi97koafPw2sc2bRa9BSZJU47hniyRJqrHyp04ns3d/Cn+dV2pdzFZNqffsMBK7HxydxiRJUo3mzBZJklTjhMNhVt7/MBldDtlo0JJwyEE0nPGFQYskSSo3zmyRJEk1StHSpWSdeT65r79VemFMDKk3XEPqNVcQio2NTnOSJKlWMGyRJEk1Rv7kr1jW+zSKfvu91LqYbbYm7YXhJBzYNUqdSZKk2sRlRJIkqdoLFxWx4u4HyNi/x0aDloTDutNoxucGLZIkqcI4s0WSJFVrRUuWkHnaueS9/V7phbGx1Ll5MCn/919CMb7fJEmSKo5hiyRJqraKsrJYsud+FM1fUGpdTIvmwbKh/btEqTNJklSb+baOJEmqtmJCK0lqV1hqTcKRhwfLhgxaJElSlBi2SJKk6umXj+Dh3amz58/ENy8hcImLo85dQ6k/9mViGjWKfn+SJKnWMmyRJEnVS2EBfHQdjDwUVvxDKBbSjs8llBQuLonZthUNJn5A6uUXuz+LJEmKOn/7kCRJ1UfWHzDiEPj0ZgivCVdi64ep1ysVgMTjjqLR15NI6LRvZXUpSZJqOTfIlSRJ1cNP78Gr/WDl4sixNkeSdNUIYs76gfiu+xEKhaLfnyRJ0r8MWyRJUpWVN+4TYnfeidhZD8LE2yMLYuKgx63Q5TKIiSHhgP2j36QkSdJ6DFskSVKVEy4oYMWQW1lx8x0k7JxK/eP/JrT+4uf620KvF6Flp0rpUZIkaUMMWyRJUpVS+MdCMk85g/wJkwDI+345K5rGU6dr/pqinY+FE4ZDcoNK6lKSJGnD3CBXkiRVGbnvfciSPToXBy2rrZgQT95vMRAbD0fcB6e8ZtAiSZKqLGe2SJKkShfOz2f5dTex8vZ7NlAQIvONVBpNGE3M7j2i25wkSdJmMmyRJEmVqnD+AjL7nE7+51+WWleUl0D+n5C4e5QakyRJKiOXEUmSpEqT++Y7wbKhjQQtsTu3oeGUT0g83FktkiSp6jNskSRJURfOyyP78qtZdkwvwhlLS61NOq0vjaZOJL79rlHqTpIkacu4jEiSJEVV4bzfgmVDk78qvTAlmXqP3EfyaX2j05gkSVI5MWyRJElRs+r1N8k64zzCyzJLrYvbtS1pL40kru0uUepMkiSp/LiMSJIkVbhwbi5Zl1xB5vEnbzRoSR5wOg0nf2LQIkmSqi1ntkiSpApV8MuvZPY+jYJpX5daF6qTSt3HHyT5lF5R6kySJKliGLZIkqQKs+qVMWQNuJBwVnapdXG7tyft5VHEtdkpSp1JkiRVHJcRSZKkchfOzSXrgkvJ7NV/o0FL8vkDaPjleIMWSZJUYzizRZIklb/YWAq+HF9qSaheXeo9+RBJvXpGqSlJkqTocGaLJEkqX7nLCb1xFmldZxJKDpdYErf3njScPsmgRZIk1UiGLZIkqfz8NRMe2wdmjCK2Xpi0Y3MjSpIvPp+Gkz4ibscdKqFBSZKkiucyIkmStOXCYZg2DN4eCAWrij+d2LqQlM55rPwigVD9NOo9/ShJxx9TiY1KkiRVPMMWSZK0ZXKz4Y1zYeYLkWOJdanz0GOEn5pC6v/9l9jtto1+f5IkSVFm2CJJkjZbeMUKSEoi9M9MeKkXLPkpsqjZXtDrJUKNWlPvkVOi36QkSVIlMWyRJEmbpWDWdyw7qR9J+7WiTsv3oCByXxY6DYTD7oS4xOg3KEmSVMkMWyRJ0iYJh8PkDBtJ9sBBsGoVK36YQ0LffBK2X6soKQ2OexranVBpfUqSJFU2TyOSJEkbVZSdTdapZ5F99kWwavUGuCEy30ikcPm/HzbfBy742qBFkiTVeoYtkiSpVPkzviWjQ1dWPf9yxFjR8hiy3kgi3PFSGPAZNNg+8gtIkiTVMoYtkiSpROFwmJWPPklGp4Mp/PHnDdblzY1l1aK9IC4hit1JkiRVXe7ZIkmSIhRlZpJ1zkByXx5TemEoROr/riCp38nRaUySJKkaMGyRJEnryJ/2NZm9+lH467xS62K2akq9Z4eR2P3g6DQmSZJUTbiMSJIkwf+zd99xTd3rH8A/Sdgb3OJeaK0bxa111Fn3VtxW27rrrdpbvdb2V6212tZZ6x4VF+5trVIXiuKsdSAoiCIywg4Z5/cHl3ODhIQREgKf9+vVV09ynpzzJN8cYp58B/47bGjVOsS27myw0GLTqQM8bl9loYWIiIhIB/ZsISIiImji4pAw4VMoDh7VHyiVwvE/8+H47y8gkclMkxwRERGRhWGxhYiIqIRTBt5A/LCx0IQ91xsnrVAerr9vhk3H9ibKjIiIiMgycRgRERFRCSUIApJXrEJs264GCy02H3ZGqdtXWGghIiIiygX2bCEiIiqBNDExkI+dgvRjJ/UHymRw+nYhHL6YBYmUv9EQERER5QaLLURERCVM+pVrkA8bC014hN44aSVPuO7eApu2rU2UGREREVHxwGILERFRCSKkpUE+aCQ0r6L0xtn06g7XreshLV3aRJkRERERFR/sD0xERFSCSF5ehksPOQBBd4CVFZx++D+4HdnLQgsRERFRPrHYQkREVBKoVcAfC4FtXWFbMQaObZTZQqRVq8D9rzNwnDOD87MQERERFQCHERERERV3CZHAvuFAWIB4l2MHJdJfyKAMlwEAbPv2hsuWdZC6u5srSyIiIqJigz9bERERFWdPTgFrGmUptACARAq4ft4G0grl4PzT93A9uJuFFiIiIiIjYc8WIiKi4kitAv5YAPy1NPs+qRXQdQlkrWej9KQ0SBwcTJ8fERERUTHGYgsREVExIajVSF68BNYNa8A2di3w4nL2INcqwBA/oEorAGChhYiIiKgQsNhCRERUDKgjX0E+YhyUFy9B4gCUmpQCmfM7QXX7AP23AA4eZsmRiIiIqKTgnC1EREQWTnH6HGIat4Ly4iUAgJACyA/aQtD8N0BmDfT8CRhxiIUWIiIiIhNgsYWIiMhCCSoVEuf/B/Hd+0GIfptln/KFDMkB1oB7dWDiZaDVDEAiMVOmRERERCULiy1EREQWSB0egbiOPZCy9MccY5Iv20Dh9TNQqbkJMyMiIiIiFluIiIgsjOL4qYxhQ5ev6o2T1akNaZXqJsqKiIiIiDIVmwlyExMT4efnh3PnzuHFixdISkpC6dKl0aBBA/Tt2xedO3c22rm8vLxyHevp6Ynz588b7dxERFRyCUolkub/Byk//mIw1s53OJzXroTUyckEmRERERGRtmJRbAkKCsLs2bMRFRWV5f7IyEhERkbi9OnT6NSpE3788Uc4cIlLIiKyQOqw55APGwtl4A39gfZ2cFn7E+zHjjJNYkRERESUjcUXWx49eoTJkycjKSkJANCsWTP06tULrq6uePr0Kfbt24e3b9/i/PnzmD59On799VfIZDKjnLt27dqYOXOm3hg7OzujnIuIiEqutENHkTBuCoR4ud44Wf16cNu7HVbv1TNRZkRERESki8UXWxYsWCAWWsaPH4+5c+dm2T9q1CiMGTMGT58+xV9//YUDBw5gyJAhRjm3u7s7unTpYpRjERERvUtQKJA0dwFSfl5rMNZuwhi4/PIDJOzBSURERGR2Fj1B7oULF3Dnzh0AQL169TBnzpxsMaVLl8b3338v3l61ahU0Go3JciQiIsoP1bNQxLbpYrDQInF0gMvOTXDduIaFFiIiIqIiwqKLLSdOnBC3R48enePwoPfffx/Nm2cse/nmzRvcuGFgvDsREZEZpe0/iNgmraG6Gaw3zqrh+/C4eQn2I4eaKDMiIiIiyg2LLrb89ddf4naHDh30xrZv317cDggIKLSciIiI8ktIS0PCZ7MgH+wLISFRb6z9lAnwuPYnrLzqmCg7IiIiIsoti52z5e3bt4iNjQUAVKxYEaVKldIb36BBA3H7yZMnRskhNDQUI0aMQEhICJKTk+Hs7IxKlSqhefPmGDx4MKpXr26U8xARUfEnpKcjtm1Xg71ZJM5OcPltNeyGDjJRZkRERESUVxZbbAkNDRW3K1WqZDBeO0b7sQURHR2N6Oho8XZsbCxiY2Nx9+5dbNmyBSNHjsQXX3wBGxubAp/r0aNH+X5sxYoVUbFixQLnQEREhUcCJWxrpkF1M+cYq6aN4bpnG6xq1TRdYkREREQWIDIyEpGRkfl6bEG+b+fEYostCQkJ4ra7u7vBeO0Y7cfml6enJ9q0aYO6devC3d0dSqUS4eHhOH/+PB48eACNRoMdO3YgPDwca9euLfBy04sXL873Y6dOnYpp06YV6PxERFSIou4De4bAsdZDpFe1g/J59s8M+2lT4PzD/0Fia2uGBImIiIiKtgMHDmD16tXmTkNkscWWlJQUcTs3PUdstf5xmpycXKBzb9++HT4+Pjr3TZ06FceOHcOXX34JhUKBCxcuYPPmzZg0aVKBzklERMWQIAA3NwHHpwGqNEikgGs/BWJ+s4eQIgEASFxd4LJ5HewG9DVzskRERESUW4VabPH19cX169eNcqwlS5ZgwIABOvdJJBKDj89NTG7lVGjJ1Lt3b6hUKsydOxcA8Ntvv2HMmDFGGU5ERETFhCIRODIFuPt7lrtlzgJcB0sRvx2w8m4Ktz3bIKtezTw5EhEREVG+WGzPFgcHB3FboVAYjE9LSxO3HR0dCyUnbX379sW6desQFhYGuVyOW7duoWXLlvk+3sKFC+Hl5ZWvx3K+FiKiIubVbWDPUCDmcfZ9FZrAduZeuA0JgU2XDyBhoZ6IiIjIoIEDB6JVq1b5euyjR48KNHWHLoVabOnduzcaNWpklGPVqZN1aUsXFxdxOy4uzuDjtWO0H1tYJBIJfHx8EBYWBgAICQkpULHFy8sL3t7eRsqOiIhMTfXgb0icnSF7fQw4OQtQ6fihwGcq0O0HwNoOtj1rmT5JIiIiIgtV1BaGKdRiy9ChQwvt2NrLKkdERBiM144x1ZLM2pPyJiYmmuScRERUtAiCgLTN25Ew7XNYV7GH+4AISN6d/9bOFei3Cag/0Cw5EhEREZFxSc2dQH6VLl0aHh4eADKWeIqJidEbf+/ePXG7du3ahZpbptjYWHHb2dnZJOckIqKiQ5OYiATfiUiY+BmQmgblozgkXbTOGuTZHPg0mIUWIiIiomLEYostANCuXTtxOyAgQG+s9v4OHToUWk6ZBEHIMjlwjRo1Cv2cRERUdCjv3EOsdzuk7dqT5f6UKzZQhPy3a0vrWcDES4C7aXpcEhEREZFpWHSxpVevXuL2tm3boFardcbdv38fN27cAACUK1fOJHOfHDx4UJyvxdnZGc2aNSv0cxIRkfkJgoCUXzch1qcj1I+f6oyRH7aDustWoMcKwIoT4BIREREVNxZdbOnQoYM4Ae/Dhw/x448/Zot5+/atuAQzAEybNg1Sqe6nPW/ePHh5ecHLywurVq3SGbN8+XKDc8QcP34cixYtEm9PmjSJyz4TEZUAmoQEyIeNQeKUGYCelfKEVAnSQ9+duIWIiIiIiguLXfo50zfffIMRI0YgKSkJmzZtwu3bt9GrVy+4ubnh6dOn2LdvH6KjowFkDDsaMGBAgc7n5+eHjRs3omHDhmjatCmqV68OFxcXqFQqvHjxAufPn8f9+/fF+Pbt22PChAkFOicRERV9ypvBkA8dA3XIM71x0rJl4LJrM2y7fGCizIiIiIjI1Cy+2OLl5YVff/0Vs2fPRlRUFG7evImbN29mi+vUqROWL18OmazgvyQKgoA7d+7gzp07OcZIpVKMHj0an3/+OaysLP5lJiKiHAiCgNTV65E4599AerreWJtOHeCycxNkFcqbKDsiIiIiModiUQXw9vbGsWPHsGfPHpw9exbPnz9HcnIySpcujQYNGqBv377o0qWLUc61efNm3Lp1C7dv30ZoaCji4uIQHx8PAHBxcUGNGjXQvHlzDBgwAJ6enkY5JxERFU2a+HgkTPgUCv8j+gOlUjj+Zz4c//0FJEYo+hMRERFR0VYsii1ARqFj0qRJmDRpUr6PsXTpUixdulRvTMOGDdGwYcN8n4OIiIoH5fUgxA8dA03Yc71x0grl4fr7Zth0bG+izIiIiIjI3Cx6glwiIiJTEwQByStWIbZNF4OFFpsPO6PU7SsstBARERGVMMWmZwsREVFh08TGQj52CtKPntAfKJPB6ZsFcJg7G5IcVsAjIiIiouKLxRYiIqJcSL9yDfJhY6EJj9AbJ/WsCFe/rbBp29pEmRERERFRUcOf24iIiPQQNBokf78Cce27GSy02PTsljFsiIUWIiIiohKNxRYiIiID0o/5A2p1zgFWVnD64f/gdnQfpKVLmy4xIiIiIiqSOIyIiIgoJxo1JH8uhmuLK4i5bQdNUvbfKKRVKsN1zzbYtGxhhgSJiIiIqChizxYiIiJdEiKBrV2AC4shdRDg2k8BSIQsIbZ9e6NU8GUWWoiIiIgoCxZbiIiI3vXkNLC2MRB6QbzLppoGju2UGTesreH80/dwPbgbUg8Ps6RIREREREUXhxERERFlUquA8wuBgCXZ90llcFz8DdRbnsHhs49h3byZ6fMjIiIiIovAYgsREZVogloNaDSQpLwG9g4HXlzOHuRaBRjiB0mVVnDtYPociYiIiMiysNhCREQlljryFeQjx8O6uiuca50FUmOzB9XtA/TfAjhwuBARERER5Q6LLUREVCIpzvwB+agJEKLfQnkBsBmaBtvaWgEya+DDZUCrGYBEYq40iYiIiMgCcYJcIiIqUQSVColfLkJ8t74Qot+K98uP2EIt/29Rxa0aMPEy0HomCy1ERERElGfs2UJERCWGOuIl5MPHQnnparZ9QqoE8oO2cP+uOySDtgD2bqZPkIiIiIiKBfZsISKiEkFx4jRiGrfSWWjJpIyQIeVVexZaiIiIiKhAWGwhIqJiTVAqkfjFV4jvNRBCjI4JcLXY+Q6H/aeTTJQZERERERVXHEZERETFlvr5C8iHjYXy2nX9gfZ2cFmzEnZjR0HCOVqIiIiIqIBYbCEiomIp7fAxJIybAiEuXm+c7L26cNu3A1bv1TNNYkRERERU7HEYERERFStCejoSZ34Beb9hBgstduNHo9SNABZaiIiIiMio2LOFiIiKDdWzUMiHjoEq6JbeOImjA5zX/wL7UcNMlBkRERERlSQsthARUbGQduAQEsZ/AiEhUW+cVcP34bpnG6zqepkoMyIiIiIqaTiMiIiILJqQloaEqbMhHzTKYKHFfvJ4eFz7k4UWIiIiIipU7NlCREQWS/XkacawoeA7euMkzk5w2bAKdsMGmygzIiIiIirJWGwhIiKLJGg0iO8zBOp/HuuNs2raOGPYUK2aJsqMiIiIiEo6DiMiIiKLJIl+CJcP5YBEyDHGfupkeFz5g4UWIiIiIjIpFluIiMiyCAJwcxPwa3PYuDyDUwdlthCJqwtc9++Ey6ofIbG1NUOSRERERFSScRgRERFZDkUicOQT4O4u8S6HNkqkv5Ai/VnGR5pV82Zw27MNsurVzJQkEREREZV07NlCRESW4dUdYJ13lkILAEgkgOvHdSAtXwYOs6bC49JZFlqIiIiIyKzYs4WIiIo2QQCCNgAnZgAqRfb9Pp9B2m05Sn2cCqm7u+nzIyIiIiJ6B4stRERU5AiCgLQtOyBxsoWd4A/c35s9yM4V6LcJqD8QACB1tzNxlkREREREurHYQkRERYomKQmJU2YgbdceSOwlsJ6QDJnbO0GezYEhfoBHDXOkSERERESkF+dsISKiIkN55x5im7VF2q49AAAhVUC8vy0EtVZQq5nAxEsstBARERFRkcViCxERmZ0gCEj5dRNifTpC/fhpln2qSBmSztsAdm7AiENAz5WAlY1Z8iQiIiIiyg0WW4iIyKw0CQmQDx+LxCkzAIWOCXABpARaQ1FjJVCvr4mzIyIiIiLKO87ZQkREZqO8dRvyIaOhDnmmN05SpjRQpqqJsiIiIiIiKhj2bCEiIpMTBAEpq9cjtlUng4UW6w/ao9Sda7Dt8oGJsiMiIiIiKhj2bCEiIpPSxMcjYcKnUPgf0R8okcBx4Tw4LpgHiUxmmuSIiIiIiIyAxRYiIjIZ5fUgxA8dA03Yc71x0vLl4LprE2w6dTRNYkRERERERsRhREREVOgEQUDyytWIbdvVYKHFpmsneNy+wkILEREREVks9mwhIqJCpYmNhXzsFKQfPaE/UCqF4+Kv4Dh/DiRS/hZARERERJaLxRYiIio06VeuQT5sLDThEXrjpJ4V4bp7C2zatTFRZkREREREhYc/HRIRkdEJGg2Sl61EXPtuBgstNj0+RKnbV1hoISIiIqJigz1biIjIqARBgHzACCgOH9MfKJPBacnXcPh8OocNEREREVGxwmILEREZlUTQwLpsAhR6YqSVK8F1zzbYtPIxWV5ERERERKbCnxKJiMh4EiKBrV3gUPYkbGqpdIbY9umVMWyIhRYiIiIiKqZYbCEiIuN4egZY2xgIvQCJBHDto4DUWfO//dbWcFqxFK6H/CD18DBbmkREREREhY3FFiIiKhi1Cjj7b2B7dyA5Wrxb6gC4DlACMgmk1arC49JZOM6aColEYsZkiYiIiIgKH+dsISKi/JNHAPuGA88vZd/nWhk2k/zg2vctbD5oD6mbm8nTIyIiIiIyBxZbiIgoT9SvXgMKBWTpD4ADo4GUmOxBXh8BA7YADqVgV8X0ORIRERERmROLLURElGuKs+eRMGoCpC6Ax6AwSN79FJFZAx9+D7SaCXC4EBERERGVUJyzhYiIDBJUKiR99TXiu/WF5k00VE+jkfiHTdYgt2rAxEtA61kstBARERFRicaeLUREpJc64iXkI8ZB+deVLPen3rCGTVU17OqqgfcGAP02AfZu5kmSiIiIiKgIYc8WIiLKkeLEacQ0bpWt0JIp4Zgt1E2/BobtZ6GFiIiIiOi/WGwhIqJsBKUSiV98hfheAyHExOYclyZB6t92HDZERERERKSFw4iIiCgL9YtwyIeNhfJqoP5Aezu4rFkJu7GjTJMYEREREZGFYLGFiIhEaUeOI2HsZAhx8XrjZO/Vhdve7bCq/55pEiMiIiIisiAcRkRERBDS05E4ay7kfYcaLLTYjR+NUjcCWGghIiIiIsoBe7YQEZVw6tAwxA8dA9WNm3rjJI4OcF73M+x9h5soMyIiIiIiy8RiCxFRCZbmfxgJ4z+BIE/QG2fVoD5c926HVV0vE2VGRERERGS5OIyIiKgEEtLSkDDtc8gHjjRYaLGfPB4egRdYaCEiIiIiyiX2bCEiKmFUT0MgHzIaquA7euMkzk5w2bAKdsMGmygzIiIiIqLiweKLLUlJSXjw4AEePHiA+/fv48GDB3j+/DkEQQAAbN++HT4+PoVyboVCgf379+PUqVMIDQ1FfHw8PDw84OXlhV69eqFPnz6QStl5iIiKjrQ9+5EwaSqExCS9cVZNGsF1zzZY1a5losyIiIiIiIoPiy62JCYmonnz5mJhxZRCQkIwbdo0hISEZLk/KioKUVFRCAgIgJ+fH1atWoUyZcqYPD8ioncJgoC0bVsMFlrsP/sYzsu/g8TOzkSZEREREREVLxZdbBEEIUuhRSKRoEqVKoiPj4dcLi+080ZFRWH8+PF4/fo1AMDLywv9+/dH2bJlER4ejv379yM8PBzBwcH4+OOPsXPnTjg6OhZaPkREBgkCJLe2wKXhn4i5DGgSsve6k7i6wGXTWtgN7Gf6/IiIiIiIihGLLrbIZDL06tUL9evXF/9zdnaGr68vrl+/XmjnXbJkiVho6dWrF5YtWwYrq/+9lL6+vpgyZQquX7+Ov//+Gxs2bMCsWbMKLR8iIr0UScDRT4A7OyG1BlwHSBG33Q7QSMQQq+bN4Oq3FVY1qpsxUSIiIiKi4sGiJxRxdHTEihUrMGHCBLRs2RLOzs6Ffs4nT57g5MmTAIAyZcrgm2++yVJoycxr+fLlsLW1BQBs3bq1UHvaEBHl6PVdYF0z4M5O8S6bSho4faAUbzvM/Awel86y0EJEREREZCQWXWwxhxMnTojbQ4cOzXF4ULly5dCjRw8AQFpaGv744w+T5EdEBAAQBODGr8CvLYCYx9l2O0ybCLsRg+F6yA/OK7+HxMbGDEkSERERERVPLLbk0V9//SVud+jQQW+s9v6AgIBCy4mICPjvPFYqFZCWAOwdDhyZAqgUWYNsXYCh+yDpuxauu7bArm9v8yRLRERERFSMWfScLaYmCAKePn0KIGO+mHr16umNb9Cggbj95MmTQs2NiEo2TVISEj+dBQlS4NLkOhD7NHuQpzcwZA/gUcP0CRIRERERlSAstuTBq1evkJqaCgAoX748rK2t9caXL18eMpkMarUaz58/hyAIkEgkeh+Tk0ePHuXrcQBQsWJFVKxYMd+PJ6KiTXn3PuRDfKF+lFHUtUlOg9177wS1mgl8uBSwsjV5fkREREREhS0yMhKRkZH5emxBvm/nhMWWPEhISBC33dzcDMZbW1vDyckJcrkcSqUSKSkp+V4CevHixfl6HABMnToV06ZNy/fjiahoEgQBqb9tQeL0fwGK/w0XSjhmC6vyqbDyEAA7N2DAVqBeX7PlSURkCQRBgEKhQFJSEpKTk6FSqaDRaMydFhER6SGTyWBjYwMXFxccPHgQv/zyi7lTErHYkgcpKSniduZKQ4ZoxyUnJ+e72EJEpE2TkICEydOh8NufbZ+QLoHc3xYe/24Ayci9gHs10ydIRGRBlEolIiIikJaWZu5UiIgoD1QqFRQKBRITE/Hee++hbt26+Oeff8ydFoBCLrb4+vri+vXrRjnWkiVLMGDAAKMcyxjyOxyIiKiglMF3IB8yGuqnITnGqF7LkBTRDc4stBAR6ZWWlobw8HCoVKos90ulUkilXEuCiKgoU6vVEAQBQEZHh+HDh2P37t1FouDCni154ODgIG7n9pcPhVbX/oL0alm4cCG8vLzy9VjO10JUPAiCgNS1G5A4ez6Qnq431rpjOzjM+MxEmRERWSZBEBARESEWWqytreHh4QEnJyfY2NiYOTsiIjJEEASkpKQgNjYWgiDA3t4eCxYsyPNxHj16VKCpO3Qp1GJL79690ahRI6Mcq06dOkY5TkG4uLiI2/Hx8QbjVSoVkpKSAABWVlZZijV55eXlBW9v73w/nogsmyY+HgkTP4PiwGH9gRIJHBfOg+OCeZDIZKZJjojIQqWkpECpVALI+EW0SpUqsLLib5FERJZCIpHA0dERDg4OiIiIEEegeHp6Zvn+bg6F+mkydOjQwjy8yVWoUAH29vZITU3F69evoVQq9a5I9OrVK6jVagBAtWrVOPSIiPJFeeMm5EPHQB0apjdOWr4cXHdtgk2njibJi4jI0mn/eFa6dGkWWoiILJREIoGHh4fY2SEhIcHsxRYORM0DiUSCWrVqAcgYG/bw4UO98ffu3RO3a9euXai5EVHxIwgCkn9ag9g2XQwWWmy6fACP21dYaCEiyoPM4d4SiQTOzs5mzoaIiArCwcFB7OCQbmDIvSmw2JJH7dq1E7cDAgL0xl68eFHc7tChQ6HlRETFjyY2FvJ+w5A0ay7w3y7uOkmlcPx2IdxOH4asXDnTJUhEVAxk9kCWyWTsgUxEZOEkEglk/x1Gn/n33ZxYbMmjnj17itt+fn5ZloPWFhUVhZMnTwIA7Ozs0LlzZ5PkR0SWL/1qIGKatIHiyHG9cdKKFeD+5wk4/fsLSLhiBhERERFRkcF/nWuZN28evLy84OXlhVWrVumMqV27Nnr06AEAiI6OxoIFC7ItFZicnIw5c+aIXVPHjh1r9vFiRFT0CRoNkn/4CXHtu0HzIlxvrE33rih1+wps2rc1UXZERERERJRbFj8L2JkzZ/DgwYMs90VERIjb+/fvx5UrV7LsHzRoECpXrpzvc86fPx/BwcF4/fo1jh07hidPnmDAgAEoW7YswsPDsW/fPoSHZ3xRqlevHj7++ON8n4uISgbN27eQj52C9OOn9AfKZHD6bhEc5sxgbxYiIiIioiLK4ost58+fx8GDB3Pcf+TIkWz3tW7dukDFlnLlymHTpk2YNm0anj17hkePHmHJkiXZ4po0aYJVq1bB0dEx3+ciopIhfuBIKAMu642RVq4EV7+tsGnd0kRZERERERFRflh8scVcatWqhUOHDmH//v04deoUnj17BrlcDnd3d3h5eaF3797o06cPpPzlmYgMSXwF5w5xiL0kABrdEzTafNQTrlvXQ+rhYeLkiIiIiIgoryy+2LJ06VIsXbrULMeytbXFyJEjMXLkSKOcn4hKoKdngf2jYC28gXMXKySesc2639oaTt9/A4eZn3GlDCIiIiIiC8FuF0RE5qBWAee+ArZ3A5LfAADsm6tgW+d/E25Lq1WFx6WzcJw1lYUWIiKifOjUqRO8vLzQqVMnc6dSaNavXw8vLy+0b98eaWlp5k7HYqlUKvTu3RteXl5G+zFfn+nTp8PLywu+vr65ih80aBC8vLwwb968Qs6MjIXFFiIiU5NHAFs6ARf/DxAE8W6JBHAZUQpSz7KwHdAHpYIvw7qFtxkTJSIioqIsMjIS69evBwDMmDEDdnZ2Zs7Icm3fvh1PnjyBi4sLpkyZUujnmz17NqysrHD9+nUcO3bMYPy//vUvAMChQ4dw69atwk6PjIDFFiIiU3p8AljbGHj+V/Z9Xr0h/dddeNy4Atf9uyB1czN1dkRERGRBfv75Z6SmpqJSpUro27evudOxWHK5HOvWrQMAjBw5Em4m+DdYtWrV0LNnTwDAypUrkZ6erjfex8cHzZo1gyAI+OGHHwo9Pyo4FluIiAqZ4ux5pO3dD5z+AtjRC0iJyRogtQK6/wiMPAI4lIKsQnkOGyIiIiK9QkJCxJVXx40bBysri5+O02w2b96MhIQE2NjYYPTo0SY776RJkwAAEREROHDgQK7jb926hYCAgELNjQqOxRYiokIiqFRI+uprxHfri4TR46E6vDx7kFtVYOIloM3sjHFERERERLmwefNmaDQa2Nvbo1+/fuZOx2IlJyfj999/BwB0794dHiZc+bFOnTpo0qQJAGDr1q3QaDR64zt06ICKFSsCADZt2lTo+VHBsNhCRFQI1BEvEdepJ5L/7wdAECAoNJAfsIWg1Aqq1x/4NBio7GO2PImIiMjyJCQk4OjRowCALl26wMnJycwZWa6jR48iISEBANC/f3+Tnz/znGFhYbh06ZLeWKlUio8++ggAcO3aNYSEhBR6fpR/7GtGRGRkipNnIPedCCEmNsv9qjcyJJ61gctHALovB3ymsjcLERHROwIDA8WhHFOnTsW0adPw7Nkz7Nq1C5cuXUJUVBSsra1Ro0YN9OjRAyNGjICNjU2ujq3RaHDo0CEcPHgQISEhSExMRKlSpeDt7Y2JEyeibt262R7z+PFj8QtumzZtsHnzZoPnCQoKwsiRIwEA3bp1wy+//JJlf3p6Ovz9/XHu3Dk8evQI8fHxkMlk8PDwgLu7O95//320bdsWbdq0gYODQ7bjnzhxAgqFQjy+IdHR0dizZw8uXbqE0NBQJCUlwd7eHqVKlULp0qXh7e2N1q1bo3nz5pBKs/4e7+vri+vXrwMAHj16BI1Gg4MHD+Lw4cMICQlBQkICSpcujZYtW2LUqFGoX7++wXwAIDExEfv27UNAQACePn2K+Ph4ODg4oFKlSmjTpg1GjRqFcuXK5epYkZGR2Lt3L65du4bw8HDI5XJYW1ujQoUKqF+/Pjp27IguXbrA1tY222MPHjwIAHBzc0OLFi1yPEdERAQ6d+4MIKNAYmjFok6dOuHly5fw9PTE+fPnc4zr2rUrFi1aJL4327dvr/e43bp1w6+//gogY7Lczz//XG88mQ+LLURERiIolUj6ajFSlq3MMSb1ljVsJv0Hdi2nmTAzIiIiy3XixAl8+eWXSE1NFe9LTU3F7du3cfv2bezbtw8bN25EhQoV9B4nLi4O06dPFwsHmV69eoWjR4/ixIkTWLJkSbaJZuvUqQNvb28EBQXhypUrePHiBapUqaL3XHv37hW3hw4dmmVfeHg4Jk6ciLCwsGyPe/nyJV6+fIn79+/Dz88PP//8M7p3754t7uzZs+K2t7f+lQsvXryIWbNmITk5Ocv9iYmJSExMRFhYGIKCgrB+/XpcvXpV7zCapKQkfPrppwgMDMxyf2RkJPz9/XH48GHMmjVLnFskJydPnsSiRYsQHx+f5X65XA65XI4HDx5g27Zt+Prrr/X2NtFoNPj555+xadMmKJXKLPuUSiVCQkLEuW2mTZuGqVOnZol58+YN7ty5AwBo0qSJWea98fDwQK1atfD48WNcuHABSqUS1tbWOca/9957cHZ2RmJiIs6ePctiSxHGYgsRkRGoX4RDPmwslFcD9Qfa20Fw8DRNUkREZHRqNRCbaO4sTM/DGZDJTH/eBw8eYMOGDVCpVOjduzdatWoFOzs7PHnyBAcOHEB0dDSePn2KMWPGwN/fP8fhNCqVSiy0NG7cGN26dUP58uWRkJCAU6dO4erVq1Cr1ViwYAEaNWqEatWqZXn88OHDERQUBEEQsHfvXsyZMyfHnOVyOU6dOgUAqFKlClq3bp1l/4wZM8RCS40aNdC9e3dUrFgRzs7OSEpKQmhoKIKCgnD37l2dx09PT8eNGzcAZKxo4+7unmMuUVFRmDlzJlJSUgAALVq0QIcOHVC6dGnY2NggLi4OT548wdWrV3UWf941f/58BAYGomrVqujfvz+qVq0KuVyOP//8ExcvXoRarcby5cvh6OiIESNG6DzG3r17sXDhQgiCACsrK3Ts2BEtW7ZE6dKlkZqailu3buHo0aNIS0vDvHnzYG1tjd69e+s81pw5c3D8+HEAgEQiQdu2bdG2bVuULVsWSqUS4eHhCAoKwo0bNyAIQrbHX758Wby/cePGBp9/YWncuDEeP36M5ORk3Lp1Cz4+OQ8xl0gkaNiwIS5fvozQ0FBERESgUqVKJsyWcovFFiKiAko7chwJYydDiIvXGyer5wW3vdth9X7uutcSEVHRsu9PYPrPwJs4c2diemXdgV9mAIM/MO15//zzT9jb22Pjxo3ZvoCOHz8eEydOxN27d/H8+XOsWLECCxcu1HmcqKgoREVFYf78+Rg7dmyWfcOGDcPXX3+N33//HQqFAjt27MCCBQuyxHz44YcoVaoUYmJicPDgQcyYMSPH3geHDh0Sh/gMHjw4ywqD9+7dw4MHDwAAPXr0wIoVK7IN28kUGRmpc8LUhw8fisdv2LChzsdmOnbsmFhoWbBgAUaNGpVj7N27d+Ho6Kj3eGfOnMGHH36I5cuXZxmSM3z4cBw6dAjz58+HRqPBsmXL0LFjR3Ey10z//PMPvvnmGwiCgAoVKmD9+vXZhm4NGDAA48ePx7hx4/D69WssXLgQbdu2zbYc87Zt28RCi4eHB1avXo1mzZrpzDsqKgqvX7/Odv/t27fF7UaNGul97oWpcePGYm+oO3fu6C22ZMZfvnxZjGexpWjiBLlERPkkpKcjcfY8yPsONVhosRs7CqVuBLDQQkRkwSYvL5mFFiDjeU/WsaieKXz++ec6v3y6urril19+Eec02b9/P+Licm6gvn37Ziu0aJ/Dzs4OAHQuqWtjY4NBgwYBAN6+fYtz587leJ7ML83W1tYYOHBgln0vXrwQt/v3759joQUAKlasqPNL9OPHj8XtmjVr5vh4AHj+/Lm4/W4u72rYsKHOOU20VahQAd9//73OuH79+onz1KSmpmLnzp3ZYlavXo309HTIZDKsXbtW5xw5QEaPnyVLlgDIWC1Ie1hW5vHXr18PIGPS2DVr1uRYaAGAcuXK6SymaL+WNWrUyPHxhU27HR89emT0eDIPFluIiPJBHRqG2HYfImXlav2BDvZw2bYBrlvWQ2Lg1yIiIiLKytnZGUOGDMlxf4UKFdCzZ08AgEKhwMWLF3OMHTduXI77nJyc8P777wPIKIhk9hzRNnToULE48u6X/0xBQUF4+vQpgIxVgkqVKpVlv729vbh9//79HPPRJyIiQtx2dXXVG6s9uW5mj5qCGDFihM4JezONHz9e7Mlz+vTpLPsSEhLwxx9/AABat26N9957T++5WrdujbJlywJAtlV6AgICEBubsRBB586d0bRp07w9kf96+fKluP1uzxlT0j63dk7Giifz4DAiIqI8SvM/jITxn0CQJ+iNs3r/Pbju2wGrul4myoyIiArTr3M4jMjUvL29Dfa2aN26Nfbv3w8gYyhMv379ssXY29vn2Isik/bKNwkJCShTpkyW/Z6enmjfvj0uXLiAq1ev6pwod8+ePeL2uxPjAkDTpk1hb2+P1NRUrF27FvHx8ejbty/q16+fZbiRPnK5XNw2VGxp06YNtmzZAiBjZadJkybhww8/ROXKlXN1rne9O//MuypWrIhq1aqJc4nExsaKE+7eunVLHBbl6Oiot3dQpszCzrtLHAcFBYnbXbp0ydNz0Jb5WtrZ2Rl8nxUm7XZ8d9JgY8STebDYQkSUS4JCgcQ5XyJ19a8GY+0njYXzzz9AovULFhERWbbBHwAD2nOCXFOqWrVqnmLevHmjM8bNzc1gMUN7+WhdPVuAjJ4dFy5c0DlRrlwuF3tzVKtWDS1bttSZx7///W8sXLgQKpUK27dvx/bt2+Hi4oImTZrA29sbbdu21dvrIz09XdzOaULgTO3atUO/fv1w6NAhxMXFYdmyZVi2bBkqVqyIpk2bonnz5ujQoYPBlZwyvTtxcE4xoaGhADLaI7PYot0D49SpU+IkwrmhXWACkGX+FUNDqfTJfC0NvY6FTfv8Ob33ChJP5sFiCxFRLqiehkA+dAxUt27rjZM4OcJ5wyrYD8+5yzMREVkumQwo42buLEoO+1z8aKEd8+7yxpn0zY2SF+3atYOnpydevnwJf3//LBPlHjx4UPziO2TIkByLO4MHD0aNGjWwbt06XLlyBWq1GgkJCbh48SIuXryIH3/8EXXq1MGcOXPQoUOHbI/XLgolJSUZzPn7779Hq1atsHXrVjx8+BBAxuS7kZGROHbsGCQSCdq3b4958+YZnLekIO2RkKC/R7A+7y7rrP289Q1rMsTGxgZpaWm5eh0Lk/b5c9PDJq/xZB4sthARGZC2Zz8SJk2FkKj/g9iqcUO47tkGqzq1TZQZERFR8ZaampqnGEOr6RSUVCrFsGHD8OOPPyImJgbnzp1Djx49AAD79u0DkDExbv/+/fUep1mzZti4cSMSEhIQFBSE27dvi/9Xq9V4/PgxPv74YyxZsgQDBgzI8ljt+Tre7fGRk379+qFfv36IjIwUzxMYGIinT59CEARcvHgRQUFB2L17N7y8ch7+nJqaarAXSE7toV0U+fLLLzFmzJhc5a6Ldg6Zqy3lh5ubG16/fo20tDQoFAqjFi7UanWuY7XbMTdzx+Q1nsyDE+QSEemROPMLyIeNNVhosf90EjyunmehhYiIyIi0V9PJifYKP5kTqhamQYMGib1ZMudo0Z4Yt1u3buLQGUNcXFzQqVMnzJ49G7///jsuXbokrugDZPRKebdXh6enp7id22JLpooVK6JPnz5YuHAhjh8/juPHj6NFixYAMnqhrFy5Uu/jc9Me2jHa7VG+fHlx+8mTJ3nK+13a8+u8O59LXmi/lobmPtHuUfRum7xLEIQ8tY32ubVzMlY8mQeLLUREOREEyOyi9YZIXJzhunc7XNashOS/S0YSERGRcdy8eTPLHCW6XLlyRdxu2LBhYacEDw8PdOvWDQBw7do1PH/+3ODEuHk59sKFC8XJfOPj48UiTibtnifPnj3L97kAoFatWli1apU4zEp74lldLl++rHf/q1evxPlaKleunKXo1Lx5c3Fo1YULFwy2qz7NmzcXt3Mz0W5O8vJauri4iNtRUVF6Yx8+fJirXlmZtAtG+noW6Yo3NPEzmQ+LLUREuiiSgANjYG+1Fbb1VDpDrLybwiP4CuwGD9C5n4iIiAomISFBHJ6jS1RUFI4fPw4gY+6Kjh07miSv4cOHA8jowbBx40ZxYtzq1auLPUUKolKlSuK2SpX13yF169aF3X9/4Llz506Bz+Xm5iYOy3n3XO/avXu33iLCli1bIAgCAIgFqUweHh5i+0RHR4urJOVH+/bt4e7uDgD4448/cOvWrXwdp1GjRuK2odfSzs5OXMXp7t27eud5yetz0z5348aN8xRvigIj5Q+LLURE73p9F1jfHLizAxIJ4NJLAZmbJkuIw4xP4XHpLKxqVDdTkkRERCXD8uXLdfa4SEhIwIwZM8Q5OwYPHmyy+Su8vb1Rp04dAMDevXvFiXGHDRum93FHjhzB/v379c4z8uzZM1y9ehVARgGpevWs/9awsbGBj48PACAsLEzv8JfVq1fjr7/+Epdc1uXo0aPi5LX16tXTm39kZCTmzZuns1fKsWPHsHPnTgAZk+RqD4fKNHPmTHE4zk8//YRt27aJxRldEhMTsXXr1iy9lzKPP2XKFACARqPB1KlTcfPmzRyPExUVpbOY0rZtW7G3TW4KV+3btweQsQLQjz/+qDNm69atOHLkiMFjaQsODgaQMcdNkyZN9MYKgoC7d+8CyCjuaRfmqGjhBLlERJkEAQj6DTgxA1CliXdL7QDXAQrEbneExMkZLlvWw67fR2ZMlIiIqGT44IMPcPnyZYwePRq9evVCy5YtYWdnh8ePH+PAgQOIjs4Y7lu1alXMmjXLpLkNHz4cX3/9tXjb1tYW/fr10/uY58+fY/Xq1fj222/RqlUrNGjQABUrVoStrS1iY2Nx584dnDlzRuw94uvrq3NC2q5du+LixYsAgMDAwGy9SDIFBgZi1apVKFWqFNq2bYt69eqhTJkykEgkiI6ORkBAQJZCRmYBIyfdunXDqVOn8M8//2DAgAGoXLkyEhIScOHCBfz5559i3BdffIGKFStme3zdunXx7bffYt68edBoNPjuu+/w+++/o2vXrqhZsybs7e2RnJyMFy9e4N69e7h+/TqUSiWWLVuW7VhjxozBrVu3cPr0acTExGDkyJFo164d2rRpg7Jly0KlUiEiIgI3b97EtWvXMGXKlCw9WQCgdOnSaNq0KW7evIlbt25BqVSK8/HoMnr0aOzfvx8KhQK///47wsLC0L17d7i4uOD169c4ffo0goOD0aJFCzx//tzgcCMAiIuLE4cFdezYUe/5AeCff/4Ri2Ndu3Y1eHwyHxZbiIgAIC0BODIZuOeXfZ+tC6xnbYRrNymsW3hDVq2q6fMjIiIqgerXr4++ffti/vz5OHLkiM4eAzVr1sTGjRsNrpJjbH369MHy5cvF5Y27detmsGdNZi+K1NRUnD9/HufPn88xbsSIEZg9e7bO/T169MC3336LtLQ0HD58OMdiS+b5YmJicPjwYRw+fFhnnIODA7766iudS01r++677yCXy3Ht2jWsWLEi236ZTIaZM2dixIgROR6jb9++KF26NL788ku8fv0aYWFh+O2333KMt7GxEYcMvfvcVq5cieXLl2Pbtm1Qq9UICAhAQECAzuPktBR3//79cfPmTcTHx+PixYvo0qVLjrlUq1YN3377LebPnw+VSoUrV65k63XTvHlzrFq1KtsqUjk5d+6cuHKRoWIdAJw6dUrczk08mQ+LLURUYmmSkiC8jYHMJhbYMwSIfZo9qGIzYOgewKMm7N43fY5EREQlXY8ePeDl5YWdO3fi8uXLiIqKgpWVFWrUqIGePXtixIgRWVaKMRUnJyc0btxYnDQ2NxPjfvLJJ2jfvj2uXbuGoKAgPHv2DNHR0VAqlXBwcEDlypXRtGlTDBw4EO+9957ec/ft2xd79uxBQEAA4uLidBYkfv31V9y8eROBgYEIDg7G8+fPERcXBwBwdnZGjRo10KpVKwwePDjLCj/6zrtlyxb4+/vj8OHDCAkJQUJCAkqXLg0fHx+MHj0a9evXN3icNm3a4OzZszh+/DguXLiA+/fvIzY2Funp6XB0dISnpyfq1q0LHx8fdOrUKcvktNpkMhnmzp2LYcOGYe/evbh69SpevnyJxMRE2NraomLFimjQoAE++OADdOrUSecxevXqheXLlyM+Ph6HDh3SW2wBMopsderUwaZNm3Djxg28ffsWTk5OqFWrFvr27YsBAwZAJpMZfA0yHTx4EEBG76y2bdvqjdVoNDh69CgAwMfHBzVr1sz1ecj0WGwhohJJee8+5ENGA+lylBoWAYlUx4z4rWYAH34PWNmaPkEiIiIS1ahRAwsXLszz43LqOaLL0qVLsXTp0lzHx8XF4fr16wAyVvXx9vY2+BiZTIaGDRuiYcOG+Pjjj3N9Ll3GjRuH/fv3Q6lU4ujRoxg9enS2GHt7e7Rt29bgl/i8kEqlGDRoEAYNGlSg49jY2KB///7o379/gXOqWrUq/vWvf+XrsQ4ODhg+fDjWrVuHCxcuIDY21uDS3XXr1sUPP/ygNyY3772nT5+Kc82MHTtWXBUqJ3/99RdevnwJAJgwYYLB45N5cYJcIipRBEFAym9bENuiA9T/PIb6WRQSTrwTZOcGDD8I9PyJhRYiIiLSad++fVAqlQD+tzqRKVWvXh19+/YFAGzatKlASymXdOPHj4erqyuUSqXeIU3GlnkuT0/PXBWvMuObNGlicMgXmR+LLURUYmgSEiAfMQ6JH08D0hTi/Wm3rZF677/dPSv5AJ8GA+/1M0+SREREVOTJ5XJs3boVAODi4mK2uTOmT58Oe3t7vH79Gn5+Ouado1xxcXERJwf+/fffxYmXC9OLFy9w7NgxAMDs2bMNDoW7ceMGbty4AYlEku9ePGRaLLYQUYmgDL6D2GbtoPDbr3N/4glbqKpOACYEAO7VTJscERERFXnXr1/HxYsXsW/fPowaNQoxMTEAgEmTJpl8ct5MFSpUwCeffAIA2LBhg7iKEeXd6NGjUbt2baSlpeHXX38t9PP9+OOPUKlUaNGiBXr37m0wPnNFpn79+qFZs2aFnR4ZAedsIaJiTRAEpK77DYmz5gF6utcKSglSbjnBZaLpJ9gjIiKiom/evHnifBmZmjRpgnHjxpkpowyTJ0/G5MmTzZpDcWBlZSX2NDGFn3/+OU/x+/btK6RMqLCw2EJExZZGLkfCxM+g2H9If6BEAscFc+G4cL5J8iIiIiLLZWNjg0qVKqFnz54YP348rK2tzZ0SERVBLLYQUbGkDLoF+ZDRUIeG6Y2TlisL1983w6ZTR5PkRURERPr5+Pjg0aNH5k4jm7ysbFSc7Nixw9wpEFkkztlCRMWKIAhI+XkNYlt3NlhosenyATzuXGWhhYiIiIiIjIo9W4io2NDExiJh/KdQHDYw3lYqhePX/4bj/DmQyGSmSY6IiIiIiEoMFluIqFhIv3Yd8qFjoHkRrjdOWrFCxrChDu1MlBkREREREZU0HEZERBZN0GiQvPxnxLX70GChxaZ7V5S6fYWFFiIiIiIiKlTs2UJEFkvz9i3kY6cg/fgp/YEyGZz+7z9w+NdMSKSsMRMRERERUeFisYWILFL6pSuQDx8HTcRLvXHSypXg6rcVNq1bmigzIiIiIiIq6fgTLxFZpNQ1aw0WWmw+6olSwZdZaCEiIiIiIpNisYWILE/IOTjXPQOZh0b3fisrOP24BG6H90BaqpRpcyMiIiIiohKPxRYishxqFXDuK2Dbh5CqouE6QAHIhCwh0qpV4HHpLBxnT4NEIjFTokREREREVJKx2EJEliHhJbC1M3Dx/wAho8BiXV4D567pYoht/49QKvgyrH2amytLIiIiIiIiTpBLRBbgySlgvy+Q8jbbLvsR3aB0dYN1mzawnzqFvVmIiIiIiMjsWGwhoiJJEARINCrgjwXAX99nD5BaAR8uhaT1bLiMAossRERERERUZLDYQkRFiqBSIfnr76AOeQyXjs8gCb+aPcitKjDED6icscoQyyxERERERFSUsNhCREWG+mUk5CPGQRlwGQBgk6iAfeN3gur1A/pvBuzdTZ0eERERERFRrnCCXCIqEhSnziKmcSux0AIACadsoIr+b78VmTXQ82dguD8LLUREREREVKSx2EJEZiUolUic/x/E9+gP4W1M1p0qCeL97SA4VgcmXQFaTQc4NwsRERHlga+vL7y8vODl5QV/f39zp0NEJQSHERGR2ajDIyAfNhbKK9dyjomWIvFZN7h4epswMyIiIiIiovxjzxYiMgvFsZMZw4b0FFoAQFbPCw7Tp5ooKyIiIipu5HK5uF2lShUzZkJEJQmLLURkUkJ6OhI/n4/4jwZDiI3TG2s3dhRK3QiA1fv1TZQdERERFSdxcXF4/PgxAKBly5bw9mZPWSIyDQ4jIiKTUYc9zxg2FHhDf6CDPVzW/Qz70SNMkxgREREVS4GBgRAEAQAwffp0M2dDRCUJe7YQkUmkHTyCmCatDRZarN5/D6VuXmKhhYiIqITy9/fP9YS2ERERYuy8efOy7b92LWO4crt27dCsWbNCyZeISBcWW4ioUAkKBRKmz4F8wAgI8XK9sfaTxsLj+kVY1fUyUXZERERUnAUGBgJgrxYiMj0OIyKiQqMKeQb50DFQ3QzWGydxcoTzhlWwHz7ERJkRERFRSXDy5Elzp0BEJRSLLURUKNL2+SNh4mcQEhL1xlk1bgjXPdtgVae2iTIjIiIqAI0aSI01dxamZ+8BSGXmzoKIyGKw2EJERiWkpSFx9jykrttoMNb+00lw/nEJJHZ2JsiMiIiogO7vA45NBZLfmDsT03MsC/ReDbw/2NyZEBFZBM7ZQkRGJR872WChReLiDNe92+GyZiULLUREZDkOTyqZhRYg43kfnmTuLIiILAaLLURkPIokOLaQA1ZCjiFWzZrA49Zl2A0eYMLEiIiIiIiITIfFFiIyjtf3gPXNYR13GM7d0nWGOMz4FB6Xz8GqZg0TJ0dERGQEfX/LGE5TEjmWzXj+RESUK5yzhYgKRhCAmxuB49MBVRoAwL6xCsowGdIeZPyJkbi5wmXLetj1+8icmRIRERXM+4OB9wZwglwiIjKIxRYiyj9FInB4MnBvd5a7JRLAub81lEllIS1fBa5+WyGrVtVMSRIRERmRVAY4ljF3FvRfGo3G3CkQEenEYgsR5U9kMLBnCBD7NPu+is0gHboH7hOtIa1QHhIbG9PnR0RERBbJRuvfDUqlUm9sXFxcYadDRJQvFl9sSUpKwoMHD/DgwQPcv38fDx48wPPnzyEIGRN0bt++HT4+PkY9p5eXV65jPT09cf78eaOen8hclPfuQ/3wMeyqvgZOzQZUiuxBLacB3X4ArGwh8zB9jkRERGTZXFxcxO2oqCi9scHBwYWdDhFRvlh0sSUxMRHNmzcXCytEVDgEQUDqpm1InDYHUKdDNjYJ1uXeue7s3ID+m4H3+pslRyIiIioeateuLW5fuXIF06dP1xmnUCiwe/dunfuIiMzNoostgiBkKbRIJBJUqVIF8fHxkMvlhX7+2rVrY+bMmXpj7OzsCj0PosKkSUxE4uTpSNu9T7xP7m8HjwmpkGb28q3UAhiyB3CvZpYciYiIqPioUKECateujSdPniA4OBgnT55Ejx49ssSkp6dj7ty5CAsLM0+SREQGWHSxRSaToVevXqhfv774n7OzM3x9fXH9+vVCP7+7uzu6dOlS6OchMhfl7buQD/GF+klIlvvVMVIknrCFS18FJG0/B7p8B1hxXhYiIiIyjokTJ2Lu3LkAgDlz5iAgIAAtW7aElZUVQkJCcOjQIbx8+RIfffQRjh49auZsiYiys+hii6OjI1asWGHuNIiKHUEQkLruNyTOng8odMzLAiDtvhVshn8G++7LTZwdERERFXf9+vVDcHAw/Pz8oFKp4O/vD39//ywxo0aNwtixY1lsIaIiyaKLLURkfBq5HAkTP4Ni/yH9gRIJNChvkpyIiIio5Pn666/Rrl07+Pn54f79+0hKSoKHhwcaNWqEESNGoFWrVoiIiDB3mkREOrHYQkQiZdAtyIeOhvpZmN44abmycNm5CbZdPjBNYkRERFQidenSRe+w/UqVKuHRo0cmzIiIKHdYbCmA0NBQjBgxAiEhIUhOToazszMqVaqE5s2bY/Dgwahevbq5UyTKFUEQkPrLWiT+6ytAqdQba9O5I1x2boKsfDkTZUdERERERGRZWGwpgOjoaERHR4u3Y2NjERsbi7t372LLli0YOXIkvvjiC9jYFHzi0IJU7CtWrIiKFSsWOAcqnjRxcUgY/wkUh47pD5RK4bjoSzh++S9IZDLTJEdERERERJQL6enpUKvVUCgUSE5ORlBQUK4fWxg95FhsySdPT0+0adMGdevWhbu7O5RKJcLDw3H+/Hk8ePAAGo0GO3bsQHh4ONauXQtZAb+cLl68ON+PnTp1KqZNm1ag81PxpAy8gfihY6B5/kJvnLRiBbj+vhk2HdqZKDMiIiIiIqLci4uLQ2pqKmJiYvD8+XMsW7bMrPmw2JIP27dvh4+Pj859U6dOxbFjx/Dll19CoVDgwoUL2Lx5MyZNmmTiLIlyJmg0SFm5GknzFgIqld5Ym25d4LrjN0jLlDFRdkRERERERJatUIstvr6+uH79ulGOtWTJEgwYMMAoxyqonAotmXr37g2VSoW5c+cCAH777TeMGTPGKMOJiApKExMD+ZjJSD9+Sn+gTAanbxfC4YtZkEilpkmOiIiIiIioGGDPlkLSt29frFu3DmFhYZDL5bh16xZatmyZ7+MtXLgQXl5e+Xos52uhTOmXr0I+bCw0ES/1xkkrecLVbyts2rQyUWZERERERET55+7ujri4OJQuXRpubm7YtWtXrh/76NGjAk3doUuhFlt69+6NRo0aGeVYderUMcpxTEUikcDHxwdhYWEAgJCQkAIVW7y8vODt7W2k7KgkSv5pDZLmfAmo1XrjbHr3gOvW9ZCWKmWizIiIiIiIiArGxsYGMpkMtra2cHR0RO3atc2aT6EWW4YOHVqYhy/y3N3dxe3ExEQzZkIESJWR+gstVlZw+v4bOMyaColEYrrEiIiIiIiIihkOIypEsbGx4razs7MZM6ESTa0CLiyGfeISpDewRto962wh0qpV4LZnG6x9mpshQSIiIiIiouKFxZZCIghClsmBa9SoYcZsqMRKiAT2DQfCAgAAzj3SoYyUQR3zvwlvbfv1hsvmdZBq9cQiIiIiIiKi/OMSI4Xk4MGD4nwtzs7OaNasmXkTopLnySlgTSOx0AIAUhvAdWAaYC0FbGzg/MsPcPXfzUILERERERGREbHYomXevHnw8vKCl5cXVq1apTNm+fLliIiI0Huc48ePY9GiReLtSZMmcdlnMh21CjgzH9jeA0h5m3Wf1ArWvsvgun0zPK78AYdpn3B+FiIiIiIiIiOz+GFEZ86cwYMHD7Lcp10M2b9/P65cuZJl/6BBg1C5cuV8nc/Pzw8bN25Ew4YN0bRpU1SvXh0uLi5QqVR48eIFzp8/j/v374vx7du3x4QJE/J1LqLcEtRqaF69hsxZA+wdDry4nD3ItQowxA+o0gp2pk+RiIiIiIioxLD4Ysv58+dx8ODBHPcfOXIk232tW7fOd7EFyJiP5c6dO7hz506OMVKpFKNHj8bnn38OKyuLf5mpCFNHvoJ8xDhowp7CY3QspEJc9qC6fYH+mwEHD9MnSEREREREVMKwCpBHmzdvxq1bt3D79m2EhoYiLi4O8fHxAAAXFxfUqFEDzZs3x4ABA+Dp6WneZKnYU5w+B/moCRDexgAAEg6o4NofEEcGyayBbj8ALadr3UlERERERESFyeKLLUuXLsXSpUtNdqyGDRuiYcOGRjkfUX4JKhWSFnyDlKU/Zrlf8bcVUqup4dBUBbhXB4bsASpxOWciIiIiIiJTsvhiC1FJow6PgHz4OCgvX9W5P/GMDazbd4L1J3sAezfTJkdERERERERcjYjIkiiOn0JM41Y5FloAACoJkq+6sdBCRERERERkJiy2EFkAIT0diXO+RHzvQRBidUyAq8VuzEi47tpsosyIiIiIiIjoXRxGRFTEqcOeQz5sLJSBN/QHOtjDZe1PsB8z0jSJERERERERkU4sthAVYWmHjiJh3BQI8XK9cVbvvwfXPdtg9V49E2VGREREREREOeEwIqIiSFAokDDjX5D3H26w0GI/cSw8Ai+w0EJERESkg6+vL7y8vODl5QV/f3+dMREREWKMl5eXiTMkouKIPVuIihhVyDPIh46B6maw3jiJkyOcf10F+xFDTJQZERERERER5QaLLURFSNo+fyRM/AxCQqLeOKtGDeC6dzus6tQ2UWZERERElkku/18v4SpVquiMSUhIMBhDRJQXHEZEVAQIaWlI+HQm5ENGGyy02H8yER7X/mShhYiIiMiAuLg4PH78GADQsmVLeHt764wLDAwUtz/77DOT5EZExRt7thCZmerxE8iHjIbqzj29cRJnJ7hsXAO7IQNNlBkRERGRZQsMDIQgCACA6dOn5xh37do1AECNGjXw0UcfmSQ3Iire2LOFyMxSflplsNBi1awJPIKvsNBCRERExZ6/v7/BCW0zaU9sO2/evGz7M4so7dq1Q7NmzXQeQ61WIygoCAAwbdo0yGSyAj4DIiIWW4jMK+o+nKufhlUZTY4h9tOmwOPyOVjVrGHCxIiIiIgsX+bwIH29Wu7fv4+kpCTUqVMHPXr0MFVqRFTMcRgRkTkIAnBzE3B8GiSqNLgOlCBmkz2glIghEjdXuGxeB7v+fcyYKBEREZHlOnnypMGYRo0a4dGjRybIhohKEhZbiExNkQgcmQLc/V28y6q0AJce6Ug4Yptxu4U33PZsg6xaVXNlSURERDqoBTXiVQmGA4sZNysXyCQcXkNElFssthCZ0qvbwJ6hQMzjbLvsuzdEuqMXpBWqwmnJ15DY2Jg+PyIiIsrR0dg/8FXYj3irijN3KiZX2sod31b7HB95dDZ3KkREFoHFFiJTEATgxnrg5CxApci+32cq0H05XCZbQyLlVEpERERF0RehS5GgTjJ3GmbxVhWHL0KXsthCRJRLLLYQFRJBEJC2eTvS//gDLn3SIHmwL3uQnSvQbxNQP2OVIUn2CCIiIiIiIrIwLLYQFQJNYiISP5mJtF17AADWsQo4NH8nyLM5MHQP4F7d9AkSERFRni2rPq/EDyMiIqLcYbGFyMiUd+5BPsQX6sdPxfsSz9nAupIG1hX+u8Rz61lA16WAFedlISIishQfeXRGT/eOnCCXiIgMYrGFyEgEQUDqr5uQOHMuoHhnXha1BHJ/W3hMtYV0+DagHpdzJiIiskQyiQylrN3NnQb9l0ajMXcKREQ6sdhCZAQauRwJH0+DYq9/jjHqOCkS//4Qriy0EBEREeXIRmtFRqVSqTc2Lq7kDekiIsvAYgtRASlvBkM+dAzUIc/0xknLlYXdlCkmyoqIiIjIMrm4uIjbUVFRemODg4MLOx0ionzhGrNE+SQIAlJWrUNs684GCy02nTvC4/ZV2Hb5wETZEREREVmm2rVri9tXrlzJMU6hUGD37t2mSImIKM9YbCHKB01cHOQDRyBx+r+A9PScA6VSOC7+Cm6nD0NWvpzpEiQiIiKyUBUqVBALLsHBwTh58mS2mPT0dMydOxdhYWEmzo6IKHc4jIgoj5TXgxA/dAw0Yc/1xkkrlIfr7i2w6dDORJkRERERFQ8TJ07E3LlzAQBz5sxBQEAAWrZsCSsrK4SEhODQoUN4+fIlPvroIxw9etTM2RIRZcdiC1EuCYKAlJWrkTR3AaBS6Y216dYFrts3QFq2rImyIyIiIio++vXrh+DgYPj5+UGlUsHf3x/+/lkXIhg1ahTGjh3LYgsRFUksthDlgiYmBvKxU5B+LHs31ixkMjh9uxAOX8yCRMpRekRERET59fXXX6Ndu3bw8/PD/fv3kZSUBA8PDzRq1AgjRoxAq1atEBERYe40iYh0YrGFyID0K9cgHzYWmnD9H+bSSp4Zw4batjZRZkRERETFW5cuXdClS5cc91eqVAmPHj0yYUZERLnDn96JciBoNEj+fgXi2nczWGix6dUdpW5fYaGFiIiIiIiI2LOFKCdJc75EysrV+oOsrOC0dDEcZk3lsCEiIiIiIiICwGILkW4aNewbJSPVRoCQLtEZIq1aBa5+W2HTsoWJkyMiIiIiIqKijD/FE70rIRLY0hlWT1fDuadCZ4htv94oFXyZhRYiIiIiIiLKhsUWIm1PTgNrGgFhFwEA9u+rYd9Y+b/91tZw/nkZXP13Q+rubqYkiYiIiIiIqCjjMCIiAFCrgD8WAH8tzbbLuYcGyoSyEOAA1z3bYe3d1AwJEhERERERkaVgsYVIHg7sHQ68uJx9n2sVSIb4wW1SBUg83CF1dTV9fkRERERERGRRWGyhEkkd+QrKK9dg18AGODAaSI3NHlS3D9B/C+DgAZnpUyQiIiIiIiILxWILlTiK0+cg950IIS4WMt9kWHtqsgbIrIFuPwAtpwMS3SsREREREREREeWEE+RSiSGoVEj8chHiu/eDEP0WUGkQ728LTZpWkHt1YOJloNUMFlqIiIiIiIgoX9izhUoEdcRLyIePhfLS1Sz3a+RSJByzhetABST1BwL9NgL2buZJkoiIiIiIiIoFFluo2FMcPwX5mI8hxOiYlwWA4h8rpKYNhMOwnezNQkRERERERAXGYURUbAlKJRL/9W/E9x6UY6Elk0ruzkILERERERERGQV7tlCxpH7+AvJhY6G8dl1/oIM9XNashP3YUaZJjIiIiIiIiIo9Fluo2Ek7dBQJ46ZAiJfrjZPVrwe3vdth9V49E2VGREREREREJQGHEVGxIaSnI3HmF5D3H26w0GI3YQxKXb/IQgsREREREREZHXu2ULGgehYK+dAxUAXd0hsncXSA86+rYD9yqIkyIyIiIiIiopKGxRayeGn7DyJhwqcQEhL1xlk1agDXvdthVae2iTIjIiIiIiKikojDiMhiCWlpSPhsFuSDfQ0WWuynTIDH1fMstBAREREREVGhY88WskiqJ08hHzIaqtt39cZJnJ3gsnEN7IYMNFFmREREREREVNKx2EIWJ22fPxLGfwIhKVlvnFXTxhnDhmrWMFFmRERERERERBxGRJYoPtxgocV+2hR4XPmDhRYiIiIiKhTr16+Hl5cX2rdvj7S0NHOnY3K+vr7w8vKCl5eXzv2BgYHi/lWrVhVaHpnn8PX1LbRz6GLo+ZN+CoUCHTt2LPT3hzmx2EKWQxCAm5tgFzkP9s2UOkMkbq5w9f8dLr8sh8TW1sQJEhEREVFRo/2l2N/f3yjHjIyMxPr16wEAM2bMgJ2dnVGOS8YXGBiIVatWYdWqVYiIiDB3OvRftra2mD59OgDgt99+Q3h4uJkzMj4WW8gyKBKB/b7AoYmAKg3OXdNhVU6dJcSqhTdKBV+BXf8+ZkqSiIiIiEqCn3/+GampqahUqRL69u1r7nRIj+vXr2P16tVYvXo1Xr58ae50SEufPn1QqVIlKBQK/Pzzz+ZOx+g4ZwsVfa/uAHuGADGPxbskVoDrQAViNzlCUAhw+Hw6nL5bBImNjRkTJSIiIqKiRi6Xi9tVqlQp8PFCQkJw5MgRAMC4ceNgZcWvVLr4+Pjg0aNHhX4eU5yDCoeVlRXGjRuHb775BsePH8fkyZNRu3bxWT2WPVuo6BIE4Pp6YINPlkJLJqsen8Fl22a4HdkL5+XfsdBCRERERFnExcXh8eOMf0e2bNkS3t7eBT7m5s2bodFoYG9vj379+hX4eEQlWd++fWFvbw+NRoMtW7aYOx2jYrGFihRBEKB58wZIkwN7hwFHPwFUiqxBdq7AsP1A71WwGzoYth/1NE+yRERERFSkBQYGQhAEABDnhyiIhIQEHD16FADQpUsXODk5FfiYRCWZs7MzOnfuDAA4duwYEhISzJyR8bDPGxUZmsREJH4yE+kXLqDUFA2kirDsQZ7NgaF7APfqJs+PiIiIiAqXv78/5s+fDwBYsmQJBgwYkGNsRESE+CWtf//+WLp0abaYa9euAQDatWuHZs2aFTi/EydOQKHI+CGwW7duuX7cixcvsHfvXly9ehUvX75EUlISXFxcUKtWLXTu3BlDhgyBvb19tsedPn1aLBJVrVoV/v7+ORZ44uPj0bdvX7x+/RoSiQS//fYb2rVrJ+4PDAzE6NGjAQBTp07FtGnT8OzZM+zatQuXLl1CVFQUrK2tUaNGDfTo0QMjRoyATQF6jus6nz63b9/GkSNHcOPGDbx58wZJSUlwcHBA5cqV0bRpU3Tp0gU+Pj6QSCRZHpe5GlCLFi2wY8cO8f5Vq1Zh9erVWWIz89Hm6emJ8+fP5+s55tbDhw+xb98+BAYGIioqCgqFAqVKlcL777+PDz/8EL1794ZUargfhEajwdGjR3HmzBncv38fsbGxsLW1Rbly5eDj44MhQ4agbt26OT5e1zUTFRWFnTt34s8//0RkZCSAjOF2Xbt2xZgxYwwWFF+8eAE/Pz8EBgbixYsXSElJgZOTE9zd3VGuXDm0aNEC7dq1Q8OGDXM8Rrdu3XDs2DEoFAqcOHECw4YNM/haWAIWW6hIUN65B/kQX6gfPwUAJOxQwXUwkOVvaetZQNelgBWHCxEREZH5aArpl1eJtTUkOr5wv0tITYWg1L0yY0FJXVwK5bjmEhgYCMA4vVoA4OzZs+J2boYkaTQa/PTTT9i0aRNUKlWWfTExMYiJiUFgYCA2b96MNWvW4P33388S061bNwwbNgx+fn54/vw5Fi1ahOXLl+s817///W+8fv0aQMZcMtqFFl1OnDiBL7/8EqmpqeJ9qampuH37Nm7fvo19+/Zh48aNqFChgsHnWRAJCQmYN28e/vjjD537Hjx4gAcPHmDHjh3YsWMHWrRoUaj5GJNarcaSJUuwc+dOsYdVplevXuHVq1c4e/YsNm/ejLVr16JixYo5His8PByfffZZtjlq0tPTkZiYiKdPn2L37t0YPXo05s6dm6viTWBgIKZPn474+Pgs9z98+BAPHz7Enj17sGHDhhwLOPv378fXX3+N9PT0LPfHx8cjPj4eoaGhuHbtGjZu3Ijg4OAc89Bu07Nnz7LYQmQMgiAgdcNmJM74AlD8b7iQ4rEVUq6r4eijAuzdgf5bgXpcZYiIiIjML9o15y9EBWE3YQxcN64xGJcwbQ7SNm0rlBzKCUmFclxzOXnypNGOlZ6ejhs3bgAAqlWrBnd3d4OPmTt3rjiZrrOzM3r06IGGDRvC2dkZMTExCAgIwMWLF/H69WuMHj0aBw4cQPXqWXtwf/nll7h16xYeP36Mo0ePonXr1tl6/OzatQvnzp0DALz//vuYPXu23rwePHiADRs2QKVSoXfv3mjVqhXs7Ozw5MkTHDhwANHR0Xj69CnGjBmjtzdNQSUkJGDo0KF49uwZAMDOzg49evRA48aN4ebmhuTkZDx9+hSXL1/Go0ePshUs9OnZsyfq1auH48eP48SJEwAylumuU6dOlrjCXLb7q6++Epcbt7KyQs+ePeHj4wN7e3s8ffoUBw4cQFRUFB4+fIhhw4bh4MGDKFWqVLbjREdHY/jw4YiOjgYAlC9fHv3790etWrWQlpaGwMBAHD9+HGq1Glu3bkVycjK+/fZbvblFRkaKhZYPPvgAHTt2hIuLC0JDQ3Hw4EGEh4cjKioKY8aMwaFDh7IV3R4+fIiFCxdCrVZDJpOhbdu2aN26NUqVKgWpVIqYmBj8888/uHLlSpZJqnVxc3NDtWrVEBYWhhs3bkChUMDW1jYvL3WRxGILmY0mIQEJH0+DYs8BnfuT/rCBTbP6sP70COBW8JnjiYiIiIjy6+HDh+IQIn1DIjL5+fmJhZaWLVti5cqV8PDwyBIzcuRInDt3DjNnzkRycjK+/PJL7N69O0uMra0tVq5ciUGDBiE1NRXffPMNGjdujBo1agDIWI3n+++/BwA4Ojpi5cqVsLa21pvbn3/+CXt7e2zcuBE+Pj5Z9o0fPx4TJ07E3bt38fz5c6xYsQILFy40+HzzY/78+WKhpUGDBlizZg3KlSunM/b+/fu5KnBlqlmzJmrWrImHDx+K9zVr1izb8y0sZ86cEQstLi4u2LRpU7b3zYQJE/Dpp5+Kw4sWLlyINWuyF1wXLFggFlratm2LX375BY6OjuL+QYMGYfjw4Zg0aRKSkpKwb98+dOzYEV26dMkxv8DAQMhkMqxYsQK9evXKltesWbNw/vx5xMfHY9GiRfj111+zxOzbtw9qtRoAsGbNGnzwwQc6zyMIAoKCgnLMI1Pjxo0RFhYGhUKBhw8fonHjxgYfU9RxglwyC+Wt24ht2jbHQgsAQCNB4nk3CK6VTZcYEREREZEOmasaARlf5PVJT08X5wupUKEC1q5dm63QkqlLly6YMGECAODWrVu4c+dOtphatWrhyy+/BACkpKRg9uzZSE9PR2pqKmbNmiUWgRYtWpTr5a0///xznYUHV1dX/PLLL3BwcACQMVQkLi4uV8fMi7t374q9ccqWLYvffvstx0ILkNFjx9PT0+h5FBbt4sSiRYt0FuicnJzw888/i0Wkc+fO4enTp1liHj9+jD///BMAULp0afz0009ZCi2ZmjZtigULFug8f05Gjx6drdACZPT2+eGHH1C2bFkAwIULF/DkyZMsMc+fPwcAeHh45FhoAQCJRILmzZsbzEX7miouy3mz2EImJQgCUlavR2yrTlCHPNMba9OpA1wP+WWbBIuIiIiIyNQiIiLEbVdXV72xly5dEnsijBgxQueXY23aS0j/9ddfOmOGDBmCHj16AMjoZbNs2TL83//9H0JCQgBkTHjap0/uht07OztjyJAhOe6vUKECevbMWPFToVDg4sWLuTpuXhw+fFjcnjRpUp56rRR1kZGRuH//PgCgUqVK4mupi7u7e5Y5Ss6cOZNlv/bt4cOHw9nZOcdj9enTR5z35e7du+IcPrpIpVKMGzcux/1OTk4YPny4ePv06dNZ9mcW4+Lj47NcG/nl5uYmbr98+bLAxysKLH4YUVhYGC5fvowbN27g8ePHePXqFdLT0+Hk5ITq1aujRYsWGDRoUK4rvHmhUCiwf/9+nDp1CqGhoYiPj4eHhwe8vLzQq1cv9OnTJ1cTE5UUmvh4JEz4FAr/I/oDpVI4/mc+HP/9BSQymWmSIyIiIiLSQ3veCUPFlsy5XYCMXi6ZPThyotSa8DizeKLLN998g3v37iEiIiLLyjvVqlXL0qvBEG9vb4NzYrRu3Rr79+8HkPHFXbsgZAzaQ0v0DXexRLdv3xa327RpY/DH43bt2mHdunUAkK1nk/bttm3b6j2OVCpFmzZtsG/fPjGP7t2764ytVauW3p5EQMZ74OeffwYA3Lt3L8u+Nm3a4MyZM9BoNBg9ejQmTZqELl26oEyZMnqPmRPta+rdCXstlUUXWwYNGpSt0TPFx8cjODgYwcHB2LRpEyZNmoQZM2YYrZdESEgIpk2blu2PYVRUFKKiohAQEAA/Pz+sWrUq32+44kR5PQjxQ8dAE/Zcb5y0Qnm4/r4ZNh3bmygzIiIiIiLDtFdcMTRhrPYv86tWrcrTefRNJurs7IwVK1ZgxIgR4upG1tbWWLlypcHeM9qqVq2ap5g3b97k+ti5ldnrwsHBQe8qPJYos1cTgGwTHuuiHfPua619rGrVqhXoWNoK+h4YOHAgTp06JS5nvmjRIixatAjVqlVD06ZN0aJFC3To0CHH4XPv0r6mFFoLp1gyiy62ZI7lkkgkaNiwIZo3b45q1arByckJb968wYULF3DlyhWoVCqsW7cOCQkJRpncKSoqCuPHjxf/QHh5eaF///4oW7YswsPDsX//foSHhyM4OBgff/wxdu7cmac/fsWJIAhI+WkNkuYuAAwsUWjzYWe47vgN0v+ODSQiIiIqisrIIwvluBIDk5pmclm1HM4rlhRKDpQzGxsbcTspSf+qTYmJifk+j9LAv5nLlSsHBwcHJPx3CfKaNWvCy8srT+ewz8US49oxycnJeTp+bmS+hpnDUYoT7dcrN6+19nfFd19r7du5ea20Y/S1W27y0ncsa2trbNy4Ebt27cKuXbvEOVzCwsIQFhYGf39/WFlZoXv37pg7d644/0tOtK+p4rASEWDhxRZHR0f4+vpi+PDhqFw5+ySqY8aMwZEjRzBv3jyo1Wrs2rULPXr0yNUEPfosWbJELLT06tULy5Ytg5XV/15KX19fTJkyBdevX8fff/+NDRs2YNasWQU6pyXSxMZCPnYK0o+e0B8ok8HpmwVwmDsbEg67IiIioiJO6uJi1vNL7O0hycUXpeJOo9GY9Hzac0oYWspW+0vq4cOHUbduXaPkoFarMWfOHLHQAgD//PMP1qxZg+nTp+f6OKmpqXmKKYwfjp2cnBAfH4+UlBSjH9vctF+v3LzW2oWMd19r7dspKSlZin66aL+e+totN3kZOpaVlRXGjBmDMWPG4NmzZ7h16xaCg4Nx7do1REREQKVS4dixY7h+/Tr279+vd9iS9jWlfa1ZMov+Znvq1Cl88cUXOgstmfr06QNfX1/x9oEDela/yYUnT57g5MmTAIAyZcrgm2++yVJoATLeiMuXLxcrclu3bjX4B7m4Sb9yDTGNWxsstEg9K8L9wkk4zp/DQgsRERFRCaf9RdJQD4/CWCFHH+2VcAz92758+fLitvYqRgW1du1acT6Y5s2bi0M01q9fn2WeGEMyeyHo8+LFC3HbUK+E/Mj84p2SkoLIyMLpLWYu2tNIhIaGGowPCwsTt999rbWPpR2Xn2NpM/Z7oEaNGhg0aBD+7//+D3/88Qf27t2LOnXqAMgYgrRhwwa9j9eep8WSVp3Sx6K/3ea24qU9+3NBl5E6ceJ/xYOhQ4fmWC0sV66cOFt4Wloa/vjjjwKd11IIGg2Sl61EXPtu0ITrn5Xapmc3lLp9BTZtW5soOyIiIiIqyly0eg1FRUXpjQ0ODi7sdLLQHqrz7Jn+VTVbtGghbp89e9Yo579x44Y4iWqpUqWwcuVKLF26FBKJBGq1Gv/6179yPbHozZs3s8xBo8uVK1fEbV3LFheU9mgDQxMIF4T2nJ2CIBTaebQ1btxY3L58+bLB82qvQNWoUaMs+7RvX7p0Se9xBEHA5cuXdebxrqdPnxq8xgryHmjUqBGWLVsm3taeEFkX7blQjdUTzNwsutiSW9oFkbS0tAIdS/tC6NChg95Y7f0BAQEFOq8l0ERHI773oIz5WdTqnAOtrOC07Fu4Hd0HaenSpkuQiIiIiIq02rVri9vaX/TepVAosHv3blOkJKpbty7s7OwAZF8x5l3t27dHqVKlAGQUW27evFmgc8fHx2POnDlQq9WQSCRYunQpypQpgw4dOmD06NEAgFevXuGrr77K1fESEhLEFWt0iYqKwvHjxwFkzJ/RsWPHAuWvS9++fcXtjRs3FtoKNHkd0mMMFStWRIMGDQBkLBmeOTJCF7lcDj8/PwAZhaFu3bpl2a9928/PT+98QEeOHBEnZ27UqFGWHlbv0mg02Lp1a477U1JSxLzezSO3KlWqJG6r9X0/xP9WcLK1tWWxxZJod90ryEzXgiDg6dOnAACZTIZ69erpjc+8wICM4UfFXcov65B+8ozeGGmVynAPOA3Hf83ksCEiIiIiyqJChQpiwSU4OFjnl9T09HTMnTs3V0MqjMnGxgY+Pj4AMoZq6CsO2Nvbi3OoCIKAzz77DFevXtV7/IiICCxduhQxMTHZ9n355ZfinJHjxo1D+/b/W7lzzpw5eO+99wBkFHZ+//33XD2f5cuX6+xtkJCQgBkzZojzdQwePLhQ5tBo2LAhOnfuDCCjuDNp0iS9PS0ePHiQZZWn3NL+wv/gwYO8J5pPkydPFrcXLVqEu3fvZotJTk7GzJkzERsbCyBjCeyaNWtmialduzY6deoEIGNlopkzZ+qc5+bOnTv45ptvdJ4/J9u2bdN5jSkUCnzxxRfie+6DDz5ArVq1ssQsWbIEt27d0nv8Xbt2idv6Cijx8fHi9dy8eXNOkGtJtKveBanKvnr1SqyGli9fHtYGZowvX748ZDIZ1Go1nj9/DkEQ8r30dEGGP1WsWNEky6k5+iRAUUEN1SuZzv22fXrBZcs6SHO5/BcRERERlTwTJ07E3LlzAWQUEgICAtCyZUtYWVkhJCQEhw4dwsuXL/HRRx/h6NGjJs2ta9euuHjxIgAgMDBQ76/9w4YNw99//409e/YgLi4OY8eORfPmzdGuXTtUrFgRVlZWkMvlCAkJwc2bN8VCwNixY7McZ+fOneKUBPXr18+28IaNjQ1WrFiBAQMGICUlBd9//z28vb3F+TJ0+eCDD3D58mWMHj0avXr1QsuWLWFnZ4fHjx/jwIED4nLDVatWLdSFPr777jsMHToUYWFhuHv3Lj788EP06NEDTZo0gaurK1JSUvDs2TNcvnwZf//9N7Zv357n+Ty8vb1hbW0NpVKJTZs2Acj44p85P5CdnV2WYV/G0rVrVwwYMAD+/v6Qy+UYPnw4evfujRYtWsDe3h5Pnz7FgQMHxIJGuXLl8PXXX+s81uLFi3Hv3j1ER0fj0qVL6NmzJwYMGICaNWsiLS0N169fx7Fjx8TlwAcPHiwWsnLi4+ODR48eYebMmThy5Ag6duwIZ2dnPH/+HP7+/uJ8LW5ubvjPf/6T7fFnz57F1q1b4enpidatW8PLywulSpWCSqVCVFQU/vjjD3Gon7W1NSZOnJhjLtpFv65du+rNW5/09HSo1WooFAokJycbHLqkraDTjehS7Ist/v7+uH79OoCMyYUGDhyY72Npz/qdm+qutbU1nJycIJfLoVQqkZKSku+ZvBcvXpyvxwHA1KlTMW3atHw/Prck97bCdYACsRvtISi0ikrW1nBa9i0cZnya72ITEREREZUM/fr1Q3BwMPz8/KBSqeDv7w9/f/8sMaNGjcLYsWNNXmzp0aMHvv32W6SlpeHw4cMGh1YsXrwY1apVwy+//ILU1FTcuHFD70S27u7uWSYJ/ueff/D9998DyFjhaOXKlTpXo6levToWLFiA+fPnIy0tDZ9//jn279+fYw+B+vXro2/fvpg/fz6OHDmCI0eOZIupWbMmNm7cCCcnJ73PsSDc3Nzg5+eHf/3rX/jrr7+QlpaGgwcP4uDBgzrjpfnoGe/u7o6JEydi3bp1SElJwapVq7Ls9/T0xPnz5/OVvyHffvstHB0dsXPnTqhUKhw6dAiHDh3KFle3bl2sXbtWHHr2rjJlymD37t349NNP8fjxY7x69Qpr1qzJFieVSuHr64t58+YZzK1ixYri98Tz58/rfA3KlSuHDRs2oEKFCtn2ZX6ve/nypd4haW5ubli2bJneni2nTp0CkFE41J5vNa/i4uKQmpqKmJgYPH/+PMucMeZQrIst9+/fz1KkWLRoUYHWcdfurpXbrk3accnJyYWybFqRUbY+rFIC4NJbAfmBjPGssurV4LpnG6ybNzNzckRERERkKb7++mu0a9cOfn5+uH//PpKSkuDh4YFGjRphxIgRaNWqFSIi9C/GUBicnJzQt29f7NmzBwEBAYiLi4O7u7vex4wfPx79+vXDgQMHcPXqVTx58kQcguTi4oIqVaqgQYMGaNOmDVq3bi32nk9NTcWsWbPEiWz/85//oGrVqjmeZ8CAAbh8+TKOHTuGx48f47vvvsuxpwSQUTjy8vLCzp07cfnyZURFRcHKygo1atRAz549MWLECIPLDBuDu7s7Nm7ciMDAQBw9ehRBQUF48+YN0tLS4OTkhCpVqqBJkybo1q0bvL2983WOmTNnom7duvD398fDhw8RFxdncLUrY5DJZPjqq68wcOBA7NmzB9evX8fr16+hVCrh4eGB+vXro3v37ujdu7fBQlLlypVx6NAhHD16FKdPn8aDBw8QFxcHa2trlC9fHj4+Phg6dGie5jtp0aIFjhw5gh07duDPP/8UV4WqUqUKunbtirFjx+ZYbDt06BCuX7+OwMBA3LlzB+Hh4WLnBDc3N9SqVQvt27fHwIED4erqmmMOSUlJYs+t3r17Z5kk29JJhEKcktnX11fsVVJQS5YswYABA3IdHx4ejhEjRuDNmzcAMsY25qbCp8+tW7cwfPhwAECzZs1yNR6yXbt2Yg5//fVXrpdNCwoKwsiRI/OfrBZT9WyBPBz463sgPRkJh9OhSQZcNq6BtJisk05ERETFy5MnT6BSqWBlZZVlYlYifUJDQ9GrVy+o1Wr8+9//FieoLeoCAwPFXE32/YCKlIiICHF4Uf/+/bF06VIzZ5Qxr8vixYshkUhw9OjRAv0tjoqKQmRkpFF6tuzatSvfxb1MxbJny6tXrzB27FixyNG/f39x3GdBaPeKye2qRgqFQtwuSK+WhQsXZlluLi9MMV8LAMC1MtB7NQDA+SMlYGXFYUNEREREVKxUr14dffv2hb+/PzZt2oRhw4aZpAcIUXGjVqvFFZF69epV4KK3u7s74uLiULp0abi5uWWZoNeQR48eFWjqDl0KtdjSu3fvbOuE55e+CZ60vX79GqNHjxa7FX700Uf47rvvjPKlX7tLU26WJlOpVEhKSgIAWFlZFWgIk5eXV4Era6YkMTB5MBERERGRpZo+fTpOnjyJ169fw8/Pz2J6txAVJUePHsWLFy9ga2uLmTNnFvh4NjY2kMlksLW1haOjo9l7LBZqsWXo0KGFefhsoqKiMHr0aHHm5N69e+P777/P10RKulSoUAH29vZITU0Vx9rpW5Ho1atX4nri1apVYy8PIiIiIqJioEKFCvjkk0+wYsUKbNiwAYMHD4a9vb250yKyGAqFAj///DMAYNKkSahcubKZMzK+YjOMKLNHy/PnzwEAPXv2xLJlyyCT6V6GOD8kEglq1aqFe/fuQa1W4+HDh2jYsGGO8ffu3RO3zV1VIyIiIiIi45k8eTImT55s7jSILJKtrS3+/PNPc6dRqIzT5cPMMnu0ZBZaevTogeXLlxu10JKpXbt24nZAQIDe2IsXL4rbHTp0MHouRERERERERFT0WHzPlqioKPj6+oqFlu7duxdaoQXI6DGzdu1aAICfnx/Gjx+vcy6WqKgonDx5EgBgZ2cnzvpMRERERERkaj4+Pnj06JG50yAzqlSpEt8DJmTRPVve7dHSrVs3/Pjjj7Cyyl8Nad68efDy8oKXlxdWrVqlM6Z27dro0aMHACA6OhoLFiyASqXKEpOcnIw5c+aIKxGNHTu2WK0XTkREREREREQ5s9ieLcnJyRgzZgzCwsIAAJ6enujZsycuXLhg8LFdunQp0Lnnz5+P4OBgvH79GseOHcOTJ08wYMAAlC1bFuHh4di3bx/Cw8MBAPXq1cPHH39coPMRERERERERkeWw2GJLXFwcQkNDxdsvX77EjBkzcvXYgnadKleuHDZt2oRp06bh2bNnePToEZYsWZItrkmTJli1ahUcHR0LdD4iIiIiIiIishwWW2wxt1q1auHQoUPYv38/Tp06hWfPnkEul8Pd3R1eXl7o3bs3+vTpY7Rlp4mIiIiIiIjIMlhssaUwJvdZunQpli5dmut4W1tbjBw5EiNHjjRqHkRERERERERkudjtgoiIiIhKpMzVK9VqNQRBMHM2RERUEIIgQK1WA0ChrU6cFyy2EBEREVGJZGtrCyDjH+iJiYlmzoaIiAoiJSVFLJzb2NiYORsWW4iIiIiohHJzcxO33759C5VKZb5kiIgo3wRBQGxsrHjbxcXFjNlksNg5W6joiYyMxIEDB8TbAwcORMWKFc2YEeUV29DysQ0tG9vP8rENLYuDgwOsra2hVCqhUCgQFhYGFxcXKJVKWFll/DPZ3d29SPxCSrmTnp6OuLg48Tbbz/KwDS2fKdtQEASkpKQgNjYWSUlJAACJRAInJ6dCOV9esNhCRhMZGYnVq1eLt1u1asV/YFoYtqHlYxtaNraf5WMbWhaJRIJKlSohPDwcKpUKSqUSb968QXp6uhgTFxdXJMb+U+6o1WqkpqaKt9l+lodtaPlM2YbvzrklkUjg6elZJFYFZrGFiIiIiEosOzs7VKtWDREREUhLS4NCocDr169hbW0NqVQKqVQqzu1CRZ9CoUBMTIx4u3Tp0mw/C8M2tHzmasPMQouzs3Ohnys3WGwhIiIiohLN2toa1apVg0KhwP3793Hv3j24uLjA1tYWbm5ucHR0NHeKlEvJycl4/vy5eJvtZ3nYhpbPlG0ok8lgY2MDFxcXODk5FYkeLZlYbCEiIiKiEk8ikcDOzg4AsGXLFvH+Xbt2oXbt2uZKi/IoKCgIy5YtE2+z/SwP29DysQ0zFJ2yDxERERERERFRMcBiCxERERERERGREbHYQkRERERERERkRCy2EBEREREREREZEYstRERERERERERGxGILEREREREREZERsdhCRERERERERGRELLYQERERERERERkRiy1EREREREREREbEYgsRERERERERkRFZmTsB0i0lJSXL7UePHpkpk9x7N0dLyJmyYhtaPrahZWP7WT62oeVjG1o2tp/lYxtaPktsw3dzfPf7eH5IBEEQCnwUMrpdu3Zh8eLF5k6DiIiIiIiIqERZuHAhRo4cWaBjcBgREREREREREZERsdhCRERERERERGREnLOliOrUqVOW21WqVIG9vb2ZsiEiIiIiIiIqnlJTU/HixQvx9rvfx/ODc7YQERERERERERkRhxERERERERERERkRiy1EREREREREREbEYgsRERERERERkRGx2EJEREREREREZEQsthARERERERERGRGLLURERERERERERsRiCxERERERERGREbHYQkRERERERERkRFbmToCKhqSkJDx48AAPHjzA/fv38eDBAzx//hyCIAAAtm/fDh8fn0I5t0KhwP79+3Hq1CmEhoYiPj4eHh4e8PLyQq9evdCnTx9IpbmvC/7999/Ys2cPrl27hjdv3kAqlaJChQpo164dhg0bhqpVqxbK8ygqEhMT4efnh3PnzuHFixdISkpC6dKl0aBBA/Tt2xedO3c2ynl8fX1x/fr1PD+uf//+WLp0abb7V61ahdWrV+f6OEuWLMGAAQPyfH5LYKo2BAAvL69cx3p6euL8+fO5iuV1aLo2fP36Nf766y/cuHED//zzDyIjI5GamgpHR0dUqlQJzZo1w8CBA1G3bl2DxyrO1+G5c+dw5MgR3Lt3D2/fvoWTkxOqVKmCLl26YNiwYXB2djb6OQMDA3HgwAHcvHkT0dHRsLOzg6enJzp16oShQ4eibNmyuT6WKd9TRZWp2lChUODatWu4du0a7t27h9DQUMjlclhbW8PDwwPvv/8+unfvji5dusDa2lrvsSIiIvLUNi1atMCOHTsK+hSKJFO137x583Dw4MFcx+f237i8Bk3Thv7+/pg/f36+Hvvo0aNs9/EaBNRqNUJCQsTvePfv38c///yDtLQ0ADn/29wYSvrnIIsthMTERDRv3lwsrJhSSEgIpk2bhpCQkCz3R0VFISoqCgEBAfDz88OqVatQpkwZg8f76aefsGHDBqjV6iz3P3nyBE+ePMHvv/+O+fPnY9iwYUZ9HkVFUFAQZs+ejaioqCz3R0ZGIjIyEqdPn0anTp3w448/wsHBwSw5Vq5c2SzntRSW0IaG8Do0XRtOnz4dZ86c0fn3Wy6XQy6X48GDB9i+fTuGDBmCBQsWwMbGpkDntDRJSUmYM2cO/vzzzyz3x8bGIjY2Frdv38bOnTuxcuVKNG3a1CjnVKlU+M9//oP9+/dnuV+hUEAul+Pvv//Gjh078N1336FLly4Gj1cc/i4UhCnb8Pjx41iwYAGSk5Oz7VMqlUhJSUFERAROnTqFOnXqYPny5XkqWpdE5rgGjY3XYNFvQ/77MmczZ87EmTNnTHpOfg5mYLGFIAhCln+oSyQSVKlSBfHx8ZDL5YV23qioKIwfPx6vX78GkPELe//+/VG2bFmEh4dj//79CA8PR3BwMD7++GPs3LkTjo6OOR5v9erVWLduHQDA1tYW/fr1Q9OmTaFSqXD16lWcOHECaWlpWLRoERwcHNCnT59Ce27m8OjRI0yePBlJSUkAgGbNmqFXr15wdXXF06dPsW/fPrx9+xbnz5/H9OnT8euvv0Imk+X7fDNmzEB8fLzBuKioKCxevBgAIJVKc/Ur+IwZM1CnTh29Me+9916u8rQkpm5DbbVr18bMmTP1xtjZ2Rk8Dq9D07bh48ePxb/fXl5eaNGiBerUqQNnZ2fExcXh8uXLOH/+PDQaDfbu3Yvo6GisW7cOEonE4LGLw3WoUqkwffp0XL58GQBQunRpDB48GLVq1YJcLsexY8dw69YtvH79GpMnT8bvv/+O2rVrF/i8CxYsgL+/PwDA2dkZgwYNwnvvvYfU1FScP38eFy5cgFwux8yZM7Fx40a0bNkyx2OZ8+9CUWDqNnz58qVYaHF3d0fr1q3RsGFDlClTBiqVCg8fPsShQ4cQFxeHx48fY/To0di9ezdq1Khh8Ng+Pj4YPXq03hg3N7d8514UmesazLR48WKUKlVKb4yh8/EaNG0btmzZEmvWrMlV7PLlyxEaGgoAGDhwoMH4kngNAsj245ebmxvc3NwQFhZWaOfk5+B/CVTiJSUlCbNmzRI2btwoXL16VUhISBAEQRBGjRol1KlTR6hTp45w7do1o593xowZ4vFnzZolKJXKbHlp57BixYocj/Xo0SOhXr16Qp06dYTGjRsLt2/fzhZz9uxZoW7dukKdOnWEZs2aCTExMUZ/TuY0ePBg8bVaunRptv3R0dFCz549xZg9e/aYJK9169aJ55wwYUKOcb/88kuhvt8sgTnaMPNYo0aNKvCxeB2avg0/+ugjYcGCBcI///yTY8yVK1eExo0bi+c8ePBgjrHF7TrctWuX+Hx69uwpREdHZ4tZunSpGDNs2LACn/PChQvi8dq0aSOEhoZmi9m+fbsY06lTJ0GhUOR4vKL6t91UTN2Gv/76qzB48GDh9OnTQnp6us6Y2NhYYdiwYeI5fX19czxeeHi4GDd37twC5WaJzHENzp07VzxeeHh4gY/Ha9D0bZgbr169Ev89Ua9ePeH169c640r6NSgIGf8WX758uXDy5EnhxYsXgiAIwoEDBwrtdeHn4P9wglyCo6MjVqxYgQkTJqBly5aFMm79XU+ePMHJkycBAGXKlME333wDK6usHa0cHR2xfPly2NraAgC2bt2aY0+b1atXi1Xb6dOno1GjRtliunTpgpEjRwLIGDq1ZcsWoz0fc7tw4QLu3LkDAKhXrx7mzJmTLaZ06dL4/vvvxdurVq2CRqMp1LwEQcCBAwfE24MGDSrU81myotqGecHr0PRtuH37dixevFjvMIZWrVph1qxZ4m3ta7I4U6vVWLt2rXh72bJlKF26dLa4OXPmoF69egCAW7du4a+//irQeX/55Rdxe+HChahWrVq2GF9fX3zwwQcAMuYTyPz1713F4e9CQZijDYcMGYK9e/fiww8/zHE+Fnd3d/zyyy9ib7/AwEBERETk+5zFlbmuQWPiNVh023D//v3i69yuXTuUK1eu0M9pqaZMmYLPP/8c3bt3N8lwK34O/g+LLWQWJ06cELeHDh2a4/CgcuXKoUePHgCAtLQ0/PHHH9liUlJScPHiRQCAg4MDhgwZkuN5x4wZI24fP348X7kXRdqv5+jRo3PsOvf++++jefPmAIA3b97gxo0bhZpXYGAgXrx4AQDw8PAokhNXFRVFtQ1zi9ehedowt92de/bsKW7rmkCwOLp+/Tqio6MBZEx4WL9+fZ1xMpkMvr6+4u2CvCfDw8Nx//59AEClSpXQtWvXHGPHjh1r8JyW/nehoMzRhrm9psqUKSO+5kDJua7ywhztZ2y8BotmGwqCkOXL+eDBgwv1fJR7/BzMisUWMgvtineHDh30xmrvDwgIyLb/xo0b4mza3t7eeud1qVy5sjiu+uXLl9km5rVUeXk927dvL27rej2NSXtSrH79+hlctaEkK6ptmFu8Dot2G2q3R2Y7FXfa7aH9euti6HMmt7Qf265dO71z43h7e4uT+AUFBemckLUov6dMwRxtmBfa15VCoTDJOS1JUW+/3OA1WDTb8OrVq3j58iWAjF4NHTt2LNTzUe7xczArTpBLJicIAp4+fQogoxKe2e0wJw0aNBC3nzx5km2/9q9J2rH6jvfs2TMAGZNL1qxZM1d5F1Vv375FbGwsAKBixYoGJ4Iz9HoaS0JCQpaZz/MyhOiXX37BmzdvEBUVBZlMBnd3d7z//vvo1KkTevXqVeyKNkWhDUNDQzFixAiEhIQgOTkZzs7OqFSpEpo3b47BgwejevXqeh/P69D8bajP48ePxe2KFSvm6jGWfh1qP2dD78nSpUujQoUKePXqFWJiYhAbGwsPD49CPaeVlRXee+89BAUFQaPRICQkBA0bNhT3F/X3lCmYow3zm19urqubN29i0KBBeP78OVJTU+Hq6opq1aqhZcuWGDJkSLEbBlEU2m/hwoUIDQ3F27dvYWNjg9KlS6Nhw4bo1q0bOnfurPeLIK/BotGGuuzbt0/c7tevX7apCHJS0q5Bc+DnYFbs2UIm9+rVK6SmpgIAypcvb/Af7OXLlxe7jD1//jzbEqeZs5ADGd3VDNGO0X6spSqqz//o0aPiL31NmjTJ05fpoKAgvHjxAgqFAikpKXj58iVOnz6NuXPnonv37rh9+3YhZW0eRaENo6OjcfPmTcTHx0OpVCI2NhZ3797Fpk2b0LNnT3z77bdIT0/P8fFF4TmYU1F//rt37xa3c/sLoKVfhwVpk8xCoCnP+e77oKi/p0zBHG2YW4GBgeI5PDw8clVkfvHiBe7du4eEhAQolUq8ffsWQUFBWL16NTp37oz169frXMbdUhWF9rt8+TIiIyORnp6OpKQkhIWF4ciRI/jss8/Qv39/vefhNVg02vBd8fHxOHfunHg7Lz/mlbRr0Bz4OZgVe7aQySUkJIjbuRkbbW1tDScnJ8jlciiVSqSkpGTpupuYmChuu7u7Gzye9jm1H2uptF/P3Dx/7Rjtxxqb9hCi3I6ltbGxQfPmzdGkSRNUrlwZdnZ2iIuLw927d3Hq1CmkpKQgIiICo0aNwubNm9GiRYvCSt+kzN2Gnp6eaNOmDerWrQt3d3colUqEh4fj/PnzePDgATQaDXbs2IHw8HCsXbtW53hZXodF8zoEgGvXruHQoUMAMpbvHjdunN744nIdmuM9acxzFuX3lKkU1b8rmcvXZ5o8ebLBZUZr1qyJ1q1bo1atWnB1dYVCocCzZ89w5swZhIaGQqlUYuXKlYiMjMTixYsLLXdTMmf7OTg4oGXLlmjYsCE8PT1hbW2NmJgYBAUF4dy5c1AqlXj48CGGDRuG3bt36/xBiNdg0bwGjxw5Iv7407x5c4M9bzOVxGvQHPg5mBWLLWRyKSkp4nbmSkOGaMclJydnKbbk9XiZqwdkHsvSaT9/Gxsbg/HvvpaF4e+//8bff/8NIGNMe+Ykx/p8+OGHGDVqlM4/psOHD8ecOXMwZ84cXLlyBUqlEjNnzsSZM2fg5ORk9PxNzZxtuH37dvj4+OjcN3XqVBw7dgxffvklFAoFLly4gM2bN2PSpEnZYnkdFr3rEMiYE2f27NniL3WzZ8/W2026OF2HeX1PGqNNjHkdFNX3lCmZow1zY/78+eKv9g0aNBBXWNPFzc0N/v7+OU4sOmvWLGzbtg1Lly6FIAjYs2cPWrZsmWVSa0tlrvYbOXIkFixYoHPusFGjRiE8PBzTp0/H33//DblcjhkzZuDIkSOQSrN2+Oc1WDSvQe0f83LTq6UkX4PmwM/BrFhssQC+vr64fv26UY61ZMkSDBgwwCjHMgZ9Y2WLwvGMxVRtmJvnb4rXSHssba9evcTJr/TRt3QtAJQqVQrr1q3DwIED8fTpU8TExMDPzw8TJ04scL65UVzbMKdCS6bevXtDpVJh7ty5AIDffvsNY8aM0fuhx+uwaFyH8fHxmDx5MmJiYgBkFFK0V4LSpahfh5bEmG1cVN5TBKxYsUJcHcPNzQ0rV67UOxzayckpxy95QEa7jR07FklJSVi1ahUAYM2aNfyiVwCGhnRVrlwZmzZtQu/evRETE4MnT57g9OnTen8Y4jVYNNy9e1ecI87Z2Rndu3c3+Bheg+bDz0HO2UJmoP3FO7erYmjP8v/uLxV5PZ52jL4VUyyF9vPPzWoIhf38FQoFjh07Jt425nJ8dnZ2mDJlinj7woULRju2ORW1NnxX3759Ua1aNQCAXC7HrVu3ssXwOixabZiYmIjx48eLE8S1adMGP/74o1GObSnXYV7bRN/nTH7OWdDroKi9p8zBHG2oz7p16/Drr78CAFxcXLB582ZUrlzZKMeeNGmS2EPs6dOnCA8PN8pxzamotZ82Dw8PjB49Wryt6+8Yr8Gi14bavVp69+6dpVdEQRXHa9Ac+DmYFXu2WIDevXujUaNGRjlWnTp1jHKcgnBxcRG34+PjDcarVCokJSUByJi1+t1eEs7OzuJ2XFycweNpn1P7sYWpMNtQ+/XMzfPXjtF+rLGcgB82DgAADQ9JREFUOnVKHCdZp06dLLOKG4N2TwxTLhlcktrwXRKJBD4+PggLCwOQ8bq3bNkySwyvw6LThpmFlgcPHgAAWrZsibVr1+aqC25umes6zAtnZ2fI5XIAGa+3oX94GeM9aczroCi9p8zFHG2Ykw0bNuCnn34Sj71p0ya9v5bnla2tLRo3boxLly4ByJhc1FiFHHMpSu2ni6G/Y7wGi1Ybpqam4vjx4+LtvEyMmxvF8Ro0B34OZsViiwUYOnSouVMwqgoVKsDe3h6pqal4/fo1lEql3i64r169glqtBgBUq1YtWxcx7YmxIiIiDJ5fOya3k2oVVGG2YVF7/nkdS5tX2nNJmHJi1ZLUhroYet0t4TmUhDZMSkrChAkTcPfuXQAZXybWr19v1F//APNdh3lRvXp18XWOiIgwuJKBdpvUqFEj3+cMDAwUj2domJ6+90FReU+ZkznaUJcNGzaIPcOcnJywadMmo/+QAGSdKLKoTO5YEEWl/XJSHD7XCltRasNTp06JP77Wq1cP77//vlGPDxS/a9Ac+DmYFYcRkclJJBLUqlULAKBWq/Hw4UO98ffu3RO3a9eunW2/9hwD2rG5OV5R6OlTUKVLl4aHhwcAIDIyUpyfISeGXs+CePHiBW7cuAEgYyKrvn37GvX4ABAbGytum6pHRGErSm2YE0OvO69D87dhZo+WO3fuAABatGiBX3/9Ffb29kY5vjZLuA6131eG3pNv377Fq1evAGTMS5PZloV5TpVKJU4kLpVKxc/FTEXhPWVu5mjDd2kXWhwdHbFx40aj9ZB7V1H8VbYgikL76WPo7xivwaLVhvlZ5TKvits1aA78HMyKxRYyi3bt2onbAQEBemMvXrwobnfo0CHb/ubNm4u/2gYFBemdfTo8PFxcQcDT01PnUn+WKC+vp/Z+Xa9nQezfv19c9aRLly65Wto7rzKr5UDRqVobQ1FpQ10EQcgysayuX6t4HZq3DTN7tGQWWry9vQut0AJYxnVozM+Z3Grfvr24/ddff4l/D3UJCgoSV1rw9vbWOZF4Uf67YArmaENt2oUWBwcHbNy4EU2aNDHKsd+VlpaG27dvi7eL6nWVF+ZuP0Ny83eM12DRaMPQ0FAEBQUByBju89FHHxn1+EDxvAbNgZ+DWbHYQmahPcO3n59flqW9tEVFReHkyZMAMiZl7Ny5c7YYBwcHdOzYEUDGEmF79+7N8bzbtm0Tt3v16pWf1Isk7eeybds2cdjVu+7fvy/2PClXrhy8vb2NloNarcbBgwfF24Xxq0NqairWr18v3s5s9+KgKLRhTg4ePCjO1+Ls7IxmzZpli+F1aL42TEpKytKjxdvbGxs2bMjVKmD5YSnXYYsWLVCmTBkAwPXr18U5bN6lVquxY8cO8XZBVqCoXLmyuBJKREQEzp49m2Ps1q1bxe2croOi/HfBFMzRhpl+++23bIWWpk2bFvi4+s6XWaSuUaMGqlSpUmjnMhVztp8hMTEx2L59u3j7gw8+0BnHa7BotKF2r5YPP/ywUHqdFMdr0Bz4OZgViy1kdPPmzYOXlxe8vLzEJdTeVbt2bXGJvejoaCxYsAAqlSpLTHJyMubMmSPOPj127Ngc/7h+9tlnkMlkAIBffvlFnK9A27lz57Br1y4AGV8Yx40bl78nWAR16NBB7Nb88OFDnauOvH37Vly+FwCmTZsGqVT3n4DctOG7AgIC8ObNGwAZvRVatWqV6/zPnz+PEydO/H979xYSxfvHcfxjbhllmVRaFHbODlppB8LEwLKCInHtsER0k3ZhClFReBFEklIIVlLYQYnoQlnLCotQ0wgqjDSlEKQo1Jt0zVbKDmT6v5Dmr5mmNT/Xn7/362rXfWbG3We/M/qZeZ7p9h3orKmpSXFxccYkdt7e3tqxY0eftzHYuaIPU1NTfzsG9vbt2zp69KjxPDY2tseJVqnDge/Djx8/KiYmxghali5dqgsXLvzRLPxDrQ7d3d0VFxdnPD98+PAvL0FOTU01hrMGBwd3OYvWWWlpqdEf4eHhPW43ISHBeHzs2DHV1NR0a3P16lWVlJRIkqZOndrjbcTN/k7927iqDzMzM5WamiqpI2i5ePHiL0Pm32lpaVFaWlqvl763t7fr8uXLOnv2rPGzvXv39ntbg5Er+i8vL08PHjzo9Wx6XV2dYmJijGFEs2bN0vr163/Zlhp0TQ121traqps3bxrP+3My779eg2bjONh/TJALSVJBQUG3tLrzP2G5ubl69OhRl9e3bNnyV7N0JyYm6tmzZ3r79q3y8/P18uVLWa1W+fj4qK6uTna73bjt2vz587Vnz54e1zV37lzFxcUpPT1dnz590s6dOxUVFaWgoCC1tbXp4cOHunPnjtra2uTm5qYjR44MyHjggZSUlKQdO3bo48ePyszMVEVFhTZu3Khx48bp1atXstvtcjgckjouyetpp/an7Ha78Tg6Orpf97qvra1VSkqKxo0bp9DQUM2bN08+Pj7y8PBQc3OzKioqdPfuXeMKqOHDh+vUqVPGLfqGioHuw+zsbF26dEmLFi1ScHCwZsyYobFjx6q1tVW1tbUqLi7WixcvjPZhYWHavXt3j+ujDge+D2NjY/Xs2TNJkpeXl7Zv367Hjx//drlVq1Z1G2I0FOtw27ZtKioq0sOHD/Xy5UtFRkZq69atmj17tpxOp27fvq2ysjJJHeHfsWPH/nqbq1evltVq1fXr1+VwOBQdHa2tW7dqwYIF+vz5s4qLi40/MIcPH67jx4/3eqcoV+/bXW2g+9But+vkyZPGc5vNJqfTqaKiol6XmzFjRrchkd+/f1dGRoYR1ixZskR+fn4aM2aMvnz5ojdv3qigoMAYVvnj/W7atOmv3sNgMtD9V1VVpStXrsjHx0ehoaHy9/fX+PHjZbFY1NTUpKdPn6qwsFDfvn2T1LHfPH36tHGi4FeowYHfj3Z2//594/OdNm2aVqxY0edlqcEOdXV1Xa4OkqTq6mrjcVVVldLS0rq8vnDhQq1bt+6Ptsdx8P8IWyCp44xm5yEgP7t161a3n4WEhPxV2OLr66vMzEwlJCTo9evXqq6uVkpKSrd2QUFBSk9P/+2Z2vj4eLW2turChQv6+vWrsrOzlZ2d3aXNyJEjlZiY+I9M3Opq/v7+On/+vPbv36/6+nqVlZUZB7/OwsPDlZqa2usfFv3V2NhojNV1d3dXdHT0H63H6XQqPz9f+fn5PbaZPn26Tpw4oSVLlvzRNgYzV/Rhe3u7KisrjSsjfmXYsGHatWuXDhw4IIul98MGdTiwfVheXm48bm5u1qFDh/q03L1793q8q8RQqkOLxaIzZ87o4MGDKikpkcPh0Llz57q1mzRpktLS0kybUC8pKUlubm66du2aPnz4oKysrG5tvLy8lJyc3O026j9z5b59MBjoPvz5s83Kyvpl//0sPj6+y9nczr5//64nT550mfvqZyNGjFBCQoJiYmL69wsPcq6qwYaGBl2/fr3XNoGBgTpx4sRv5w2jBl3Thz90Dgn6ezLvh/9yDUodk8t2Hv77s+rq6i7hiyRFRUX9cdgicRz8gbAFLjV79mzduHFDubm5unv3rl6/fq3m5mZ5e3vL399fmzZt0ubNm/t8Kdi+ffsUERGhnJwclZaWqr6+XsOGDdPkyZMVFhYmm82madOm/cPvynWWLVum/Px85eTkqLCwUDU1NWppadGECRMUGBioyMhIrV271vTt5uXlGUMPQkNDNWnSpH4tHxkZKV9fX1VWVurFixdqaGiQ0+lUS0uLRo0apYkTJyogIEBr167VmjVrBtVO1GwD2YdZWVkqLy9XRUWF3rx5o/fv38vpdErqmIV/5syZWr58uaxWq6ZMmdLn9VKHrqnDvzVU69DT01MZGRkqKirSzZs39fz5c717906jR4+Wn5+fIiIiZLPZTL2rksViUXJysiIjI5Wbm6vy8nI5HA55eHhoypQpCg8Pl81mk4+PT5/W92/9TpnFFX1oBk9PT125csUItGtra439rMVikZeXl+bMmaOVK1fKarUOuSv9fhjI/ouJiVFAQIAqKytVVVWlxsZGOZ1Off78WZ6envL19dXixYu1YcMGhYSE9Pkfd2rQNTVYX19vTHrq7u6uqKiofv/e1KBrcBzs4Nbe26BGAAAAAAAA9MvgmDkGAAAAAABgiCBsAQAAAAAAMBFhCwAAAAAAgIkIWwAAAAAAAExE2AIAAAAAAGAiwhYAAAAAAAATEbYAAAAAAACYiLAFAAAAAADARIQtAAAAAAAAJiJsAQAAAAAAMBFhCwAAAAAAgIkIWwAAAAAAAExE2AIAAAAAAGAiwhYAAAAAAAATEbYAAAAAAACYiLAFAAAAAADARIQtAAAAAAAAJiJsAQAAAAAAMBFhCwAAAAAAgIkIWwAAAAAAAExE2AIAAAAAAGAiwhYAAAAAAAATEbYAAAAAAACYiLAFAAAAAADARP8DZ7NO3oUSuC8AAAAASUVORK5CYII=",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {
"image/png": {
"height": 408,
"width": 557
}
},
"output_type": "display_data"
}
],
"source": [
"N=16\n",
"x,ToSpec,ToPhys,D1,D2 = Chebyshev.ChebyshevHelpers(N)\n",
"\n",
"u = x**2 #<==== u = x^2 (Fourier bad: slow 1/k convergence + Gibbs)\n",
"\n",
"plt.plot(x, ToPhys @ (ToSpec @ u), label=\"phys(spec(u))\")\n",
"plt.plot(x, D1 @ u, label=\"u’\")\n",
"plt.plot(x, D2 @ u, label=\"u’’\")\n",
"\n",
"# or ...\n",
"du = np.zeros(N)\n",
"for i in range(N):\n",
" for j in range(N):\n",
" du[i] += D1[i,j]*u[j]\n",
"plt.plot(x, du, '--', lw=2.2, label=\"u’ (explicit loops)\")\n",
"\n",
"plt.legend();"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"spectral coefficients of u: : [ 0.5 -0. 0.5 0. 0. 0. 0. 0. 0. 0. 0. -0. -0. -0.\n",
" 0. 0. ]\n",
"spectral coefficients of dudx : [-0. 2. -0. 0. -0. 0. -0. 0. -0. 0. -0. 0. -0. 0. 0. 0.]\n",
"spectral coefficients of d^2udx^2 : [ 2. -0. 0. -0. 0. -0. 0. -0. 0. -0. -0. 0. -0. 0. -0. 0.]\n"
]
}
],
"source": [
"uspec = ToSpec @ u\n",
"print(f\"spectral coefficients of u: : {np.round(uspec,decimals=4)}\")\n",
"\n",
"du_spec = ToSpec @ ( D1 @ u)\n",
"print(f\"spectral coefficients of dudx : {np.round(du_spec,decimals=4)}\")\n",
"\n",
"ddu_spec = ToSpec @ ( D2 @ u)\n",
"print(f\"spectral coefficients of d^2udx^2 : {np.round(ddu_spec,decimals=4)}\")\n"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "std",
"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": "3.10.12"
},
"orig_nbformat": 4
},
"nbformat": 4,
"nbformat_minor": 2
}
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