assignment5/.ipynb_checkpoints/Assignment-5(Stock)-checkpoint.ipynb
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Assignment 5"
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": true
},
"source": [
"This assignment is based on Bayesian statistics to carry out Stock return analysis."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Learning outcomes"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"- Bayesian analysis for stock return data\n",
"- Build models for different distributions of data\n",
"- Compare models"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"In this assignment, you will use the Baysesian approach for analysis of stock return data.\n",
"In particular, you will model the data as a normal distribution and will estimate distribution parameters using Markov chain Monte Carlo technique (MCMC).\n",
"\n",
"The MCMC sampler draws parameter values from the prior distribution and computes the likelihood that the observed data came from a distribution with these parameter values.\n",
"It is recommended to use PyMC library for these computations; PyMC is a Python library for Bayesian analysis."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"__NOTE__: The 'data.csv' file included with the assignment contains the data.\n",
"The data were downloaded from Quandl, the code used to download data and calculate daily return is provided. \n",
"Use that file instead if you aren't able to read the data, or if you have reached the limit for calls to the API.\n",
"\n",
"__Getting data from Quandl__ \n",
"To download stock data from Quandl you should create an account for quandl (https://www.quandl.com/).\n",
"\n",
"Quandl is a platform for financial, economic, and alternative data that serves investment professionals. Quandl sources data from over 500 publishers. All Quandl's data are accessible via an API. API access is possible through packages for multiple programming languages including R, Python."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Required imports for this project are given below. Make sure you have all libraries required for this project installed. You may use _conda_ or _pip_ based on your set up.\n"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [],
"source": [
"#required imports\n",
"\n",
"import json\n",
"import matplotlib.pyplot as plt\n",
"import numpy as np\n",
"import pandas as pd\n",
"import pymc3 as pm\n",
"import scipy\n",
"import scipy.stats as stats\n",
"import statsmodels.api as sm\n",
"import theano.tensor as tt\n",
"import seaborn as sns\n",
"from datetime import datetime\n",
"\n",
"## Get the data:\n",
"pd.core.common.is_list_like = pd.api.types.is_list_like # resolves datareader error\n",
"from pandas_datareader import data\n",
"# For all libraries please install the necessary libraries \n",
"#If the above fails, you might need to do something like this:\n",
"#This is to show how you install pandas-datareader, you might need to do this for all libraries\n",
"#conda install pandas-datareader\n",
"#or\n",
"#pip install pandas-datareader\n",
"#Depending on your setup\n",
"\n",
"from IPython.display import Image\n",
"from datetime import datetime\n",
"%matplotlib inline"
]
},
{
"attachments": {
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dr8BfHvMD3HX2C3BL90y8ZfGn8IO7zsakpGqr6LpbujHzLYtD0Zn4t+WfxrEv9KQ6nym2gYdfDocWhX1S5tt4S9IxL9RsNbhMYeVPatOK1izB4adchitv6sWZB8kLYN2tf4dXvX0GvrvqTGsj7dt5soSLK3dv12DJ9NNwxRnX4T+vPAZ7tfCZtn+/9Ei86ZZr8ZMrZ5iM3GPZ+ts+hhPfeRRuuO0MHFSvx9U8TyBOwuUbXrwC0s4E2y+ipi76a9sfxCchzLT9In76QHnbErA4hxpbW141u5xjZDZCRel0u1q+ObmIKG2yROy4SAjlIU/+UyXjNhnic+DMTbZBggx91M02PraprSQbC6E90sewH1zNF0RsbQwnLKtDK+FmKuWjfl6tBJu+7+1lbC/rqf3sJ8WVz1Bx1krrML+aZ5oTTKTP5ewv/0Q9ikvOcHDKCCxGG8W4tsoRP9fjeT653CPPka+ywVA+u8TI/rJZNo+tmo9RRm3slfoaeOyBtdhw9924/7/+0/pMxNyOJtrqvMFHom4YYY8LK2XtM2sLo+rdxgkHAeNfhKefDjcPg8DGhx7A+ntWR3Ge/Emt/HAmcGXM55B53u6nVd5c5CN7tUDK4exQ230iHn/wvqDHWUFKNQbaOel4CMgUcAlbeNVNuOPsySYn2VJ5kqjV9sZxn74bd386ZK5ehENOuhn/unxBIFsOwtDZaxbj+Lcsxqd+cDe6JgOg7I/W4M6zncpLtmJveX1OiDA24cR+LL5/59mYnDTCy5OMxE9FNViVHhBOnoGrasAt69fjrEmkUh7r8PslS4Cr3o3JYdINZssGrmE8GWetXIXZYcVFLfKfcTaP7R3M26IsTOLQd6n/lCkTqU825lPOZZvgFZLSvjddpN2XYpJKX2qHMjooKV3Mq8qpTPnU5/64BhKlbS9IYRiPfsPS/Va7GPKQDsalX22s84Z1osuvBn2rR/VtOiTga2i5jvJ8iEh4B7lmU+AdyG6wK0t+uSfuuxZ+q90kw+pqW/7LL4Wc9GqD8ny8F3PHfXXvZEPNVlrYyA5Du2oibmGsmWx42iqVYz59piPui53FtMSJY1e25KfXk/fyqBwKSuFeLjUvAhGXT2rCjxK+FbDZ9mgNC2aar03Qbd5XsTVrjeToXyKRHXpX9fD7ux+MX41/Eb7w91fY3q5kmf7Ahz6BZn8/3vDYXZbN/iFzEn2G9gmk3GhJyu5caaVcmivF/DRSJogc5OlZXEBbGEal8kx9cvYnenTRAE5WXGpUKAirNM9VB65bdzOa+CSOmRTOipPOwp2TyhM7teu1g0Phpgjz/PKU+cXZNdrf5sgkzLiqhssWr8GHj30h9mJ7H1mDxUuAK887MJJC1UzV7zSdxlmPaZ9kaksgm4rS2PJAsKkextmP0se48hhXmlsdImLGlc9QdS2SDBrJpPnur3tUTDKlQ0gdQa90y2eGmpThgi5MdCcejsfiKFa8qs9JRStKM6RPagcJxVbJYSXKx0OVjoaNpHx6akwWNl0+9VO2UlneJKdNt+df9mF5Op9cPsyRxCZtSVc1ZNuYp3Z5a5ku8mP90AHuK3EgLgEbm5/eqsJ/Yut4iV2bPKkETBm6bb8P4L2pRRBD9p3ShW61ofDZy6p/3b9izDtFajwUIeu5z0We2kC/qYe4eyh/7JIV9hwad43ZVG/QACKWX9/fbTJ+tfOL8ZkF3ZGQP9K9wNKUYT7TNPSGx+92cKU2hJGh6Uy065hy95BOWJH9kWWFjjBTdTWQg6o/mbiahBZSMpCAzi9Wb90t6D7kEBxy6KE49NDj4TsQBK+J1YsOw6HdN+OR1Ytw2KxL0cQSvO2Vh+GwRautnHp5ttlrxrvxydplOOlvb8E6+cd16K2X4tBDF2F1mLXNR27BpYcdhkWrm3jklkvt3Rx8icdh3Tdj9c2X4pVv5fbHZZh16KHovpma1mDxYfQrfLpvxXp24r1LcNih3bj00qJs8b01rDd7zOvGresJHoEtjkkzrkJtyWKsCU6u//0SLMGVmGHL8jXomT7NXizCl4tMm/Z3uGUdQb4XN7xsOi6/4gpMnz4d05fcilsvZ7jGFK+54Qi87GUvsw+/Nnr5revCAGTxDfjCEUfY10lZdkUo85WCkyewHrfNPxZ8Z8nLX/5yHH/8d/AHnqBCP6ahk68/12lx7seFD5+dLD4u07d5M/r6+OmzQcq7wumHdVlWhK5D6ahv8+Yow/ox32yyjDpY1+Ou03Wl8pRRWjY87X4ybvuL8jfo37RpU7TZ3yjaJh1lfwocWM6V2ObNfeizz2ZQF+3os2lTgk8VQ9YN+FCX7KXxwWx7uwpsq3LS1ZfoZdyx85NsqU6Qk16OC8e9H9Kh/Vnqtni/P1Lpsjpx68TuJ/tWCyDOfXFKGi9mUjkmWdfFOaP6TlIc7z6Ome92/WRD9mpDfXw7MGE86ruMR23ncWjbZTzqE3YCdtkJtV12QW2XCajvNAEYPwHYeQKaO08AdtklfHYGdvEPCflTV344jhUS8IzNDxkRC0uW37bL/l5ngusxfdQ53u3QHu3Sfn3CzuZPbWf3r0nf6G+9fO9HiOgE3M5O4MGQ+yya7iIlu7tPfC4/FYdf7tXP/NYvsOC4J7Do+Ldg8Se/hzvOmoTm6sW276qOMEi5cjtwNlYta2LqqbfgX352FY7ZS2c+2xlGszYJZ/V+D+g4GTOXAJ/6wV0466AmXnjMBfhkbRa+estr8MljXoh19y7GktnfxN80F+NVb2vimz/rxbF7qznH4uffAk5427H43h1nYRLW4ZZLZ+HSq76PO23LZQ0WH3oSru5ajk/bXvUSLG7+G5bfNQlruPd90iEAPoXv3/lhrL/0eLzlR++x7RNhYFYmH4Orapdh8ZoP49i9mrjXlsnnY5Jd0U1C54qVOMNOICTi0/DOH5+H3812/3puaOC6n/wOR++5Drf9iuPOB/eBZ/wavz7dB9+9S49G55wf49zfzOa4BJb2oPFP/4Ffz9gLVvauz+P0/zsf2tLm6nPN0pPw7uZXcdPyI7BHYx1uu/KNeOt3Dsd/zNo/EjMHVKMhUmBI4uEkY9z9oIz6jRNAh08YTgqfGMUE8lUU5dhknb9UzpDYDdTlfc9yl3XdGoyyyzQ/WikzzkOh67ecSABsj5d7XZPhyo96+vv9LYamx/GWLoWpfjOW2LMFiXVbuJJIr8b4/KtujNs7X+qotxXvflEbov6waqVd2faQfhULASs3imK7fSUYdYSthnJ9x5ZNdNIKvoYvERneXHXTis15t6++4xsezTr9MgBYHjAPvtKefaFM2zSGrzspX4Sd95FrSuMqV1tYZtMmKVCaJMyD48jzNG6Y20S93o7auJ3RPmE3Wwzbgpg+ck/ZOdueRGI77JqLZRZJjIXoDKzHpZd/NhYwfVL7IwDaS/lHNx8Bdp3gGDWpl2OYYbi/0uTz0No7IZaOJ1tCNOhvrebPgaS4pPG4fUFSZkEbWbyNDfYbEnZ2oquf+HesOoubvr5/1rjnx7isORvffPWBPvkOejW+MRt4u17Ow97nmS2swAmin/GoIbzDwS5/OKsPwlm9d+Ds9b/Cpccfgpu/9Qt86tiDcDS3DBatwd/MaOLeRUsw+8y/wZ4HHo2V3wWmvWoRvrPqTJhHdolHvSSZJprr12ARF86LZ+HQy8xl/3Pv44GUgU+991gYP599FrD42OKG5LE14OZ1WHf2JC+P1SfhmE/6FsaHDoJvXZw/idPTbN57w3ScdoVPeKsSLh2Zc8a1H8TRe/qAssGlbYZ7l2LG7Hk2UdwM93r7nZRP/zouOWqipQ945ddwOs7D7zd8DAfYPg1XMavx60/QyAU45d+jk0D/Ojzyun2xe9iWIOFSJz9FnKtOkrWvhlimODX5RPE9TV7NWDp8jZxxHZyITHGwKZ/FmuiSo24elFdcNnz1k9i0ieNkqjpmJxC95dmUDJaDP/RTB8euiMzIIhCN5wfKqToZ/LOx6SJS5yzHtobtIBbQGttAnf2BlGVXpFy2Z5oLvIJ28y/GZapM2JKptoVA+6N+xXaFyYQ+c0wcp6J//ISZ6rIOsxOXGu6ETLcMR3vXjZ8kG/Ua2qwv6rBbWM7csV3y1TAKfcI82k/LQpNDUJCt+6m5orHHWeb8kdZrq49DfdcJGD9xon19md63txETfxKDBEz6Iw9bPBBye3g3Rnqz7414EvyUj91xSvNJnIonk/FNT3azG3x8IUVfsw4PuXHNfevwZRXjNp4hgT4jbTrXbv62t7GGH+oXphgnZJGUOVnI6XyZR7PfweDZk5acB3wC2yAkcYRH6biXzDnHyWVTL0x0m4eBfPyS298BwXzrpEY4i4SXGxlee83Ah/71LLzyrT/Cu28/EwcddSVqly3G6tkz8M4bOnHtBye64weegR9fdwVeM/VyoPM6/PSqY300W8N0aQVcdVMvzpoUBlgYwFjDpeqZOHD3AIJhEzrf6ge0QpCCdtBRV6F26SL8aEbNti7OO8jfHbDu1stx2hWn49offwJH77Uet33sRMyx7wv5IOdkJr4RI2L1yK8wf/Y8nPaPP8Dco/fC+l9/HCed7xjZAoErWRIq/eAXQixw8uTJp5+rXQCnfKkHf3vEnmjYqpcvO2FZn12W0mZBxCkxa7uARO2rZ62a1d4iDCc6kXNCfnRNE45xqxNXWk5cRMAnI2NOnJRzPBx3nhRkTzpZp/qhjOw5p3KyaxXFmm7L3usd6ou4eObgO795lGyFBYIVhD+0wXHuh10K+bhj2wPBsMz98X1r7iuzjhFyv/ueknLU5WusgIWPD7WTMozrGJjvY1l6TVY4qVLSPvfPnxZhsdotvQydss0wBRixfXe1zWTtfenMb7P2sazNLqv95WMOS3E2Nr8q/pitIYnZ/aNu6mNYjBGmfRxqVLF84gt2RWOXF2CXvV+E/j87obb7fUkjY/rINHuSn7Y2H398KsPGgweJpwOjduM2wc58C08cGXiuEvXwPDLnZN34sG5PZFBjLXxVvn3C7uYv/ebhuBU2hVu7g1CchfitL4JPW3WCGG/giVjCmXb3A9CJy/FX/3Euftd5INb0vAbvuAHAUS7niyOP+91vXwWSzzVpePf30Vs+htf8/jxbhdfqj2INl7izO7E7O+fAV+O62X+Hd1Dxx7+DoyfyxOAoTDxqHn6z9GgcdcYS3POBozEprCBtZb7ngZg9G/irUxZhRu/ZtsXAptvKwR2LnewnjDAgIj4FSSuLOGHS0biydhn+jts4nzgXB4Z98cd+3wOc8U84YI8GGg+vxg09AI5skEv9RBWuHiKBMP3YvfgOTsNXDtgDjcY63Lv0RgAvMxK1Sv9+AX7y9l/gtJcCf/jJe/DvuBRv278Pmx9h+/uxedOLcPhHavjUxV/BSYs/gmm7F6td4s39U98bFBlvNuK2feLNfdgU94yLesUkCCONfUDcwgqRIQ9ioQFEWDjAjXItQQknJYsZyYQxEwjNxxzx8W8Y2oQLcTMQ/tAGCciwp9ZAWLTFvhQxx/xQLtJi6L64QsrxI33mX3BeOixPhB78cLkwRkIbqYNDjjcOOZ7b2vxGea3ftzNkS/ZS/T4bXTnV8ZFA+5fYNTxDm70dbH9x49K2EYRHDNne0HfWcuLEPqM299/aEuU93z1xfIWN++3tiyecetPIp62d7xgAmiRmXrjbXSwnePMgGR/sJGtLyEv1y2419Hni7aC8YW3z20+QfgMPOOrIo9B73/04ctqReHLtGvRvfMoWMFyH8pE49o0RsLYz2n1rg6tZzkx9maRqX2n5Wk3Tsz4bB3XYl2a5dcF1qgnW/XlpW/H6qrm9fRzad5qA3Q6YhNv+sBZHH3W0SYZuIPChhyzK55SL1QqB5pneQGn4A89E36bivE4cOU/uzcfS33Ti49/5OHre9Ca87GPMPwNnnLEUSwUiPQ9khIP+B75+xjyc+7obgblLcFvnZPAbNsRmr6M/iH+54dWYesNwnqYAACAASURBVIV0X4Vltx9rTzigthcOIrvecAM+fpQ/5YB7e3DUGXPj0Ju/9De2NVDb61x8vHY6Tpv+MXRe95+46m++idk3vB2ndISNcISVs5nxNssi21gM5SJXsaJz/CkMXNbEJ462R0RscB7U+SP8860n4nWOtaqVQukwO9yjPeA0LPuH23DKya8oy5EAnfvwyb98JT5ppafgfy49Bfv392O9EaNftex/0j/hQ595Fz541veijtd96hu4qGO3sF3hhOw3dYq9ZK2e7QaWtjcC4YqAqVA+K09p56UCsSLf85yAnKkZt1+l4Qi0/U62j3J+lcGTB9MkD55MbL5USEOExjJtUzAv5jMe9kQZUkZkThn6x7pmNZBDzDdbvgJlm11nkVYedXCSs+2MF22uoUbsSNJhG4MnQ+oRmVrnGPsKU2ul+xXaQVm3LR88ZB6vJBhaueHpcaZTG1ZuxgINBxw5nxn1fiv0pu1gNaapQ21jHvXzvhJDkrHhn/QPichPEJTVyTJZgcsf9UP0qTixy3Y1TMcd2xCPJnDPPatxxqUfw7x3vhUbO2fjyCOOwn47j+e7PK2vbU+Ztup8QZG33/AKpyjvgaixZSTFgQID0mFMyTPi29/0V9RxrPFZZTvax+ORpzdh+a9/i5uW9uDKb12P++6/P/T3QE9qU6ZMad5222345S9/GTqAneAfdTq/KWZ5DGUoNM6mIQepnLaTmeWWGpo2yM/4PgjdRjHIVIny/Kz/1RV4zTuPQs+vO3Ggz4gKgSYTiAPXVmm+Gqdub7JkFMpKqzDUsEEcLsk0mkMb5ZutHO3ZRPfVz/AFMIJK8uXQyUkkI0+iDMmZmQFbhSr3ActiJ2gNYE5gktvmPq6MRcohtG0N308mMW/evMmeLBAhSof5ktilj25XA7M8eVkWXA3DlBOfP2FFvMMjQeEkTDm3E668bLvLfwzA7gfYt+rsDpPZZB9SP8PqYf0biMnigdhsrOoxKVZKX7qkEWF6XSPr2qNy0UA1XRAl+4Hyjomvxmw8hx8fkB76QDkxoTCiCZ8tRXska20Q+dLt0GaVa0XF/JiXyLG8ND+tPvumsEU/WJehvgHK/tBh++apTtRMro37oYEX2tvb0NbW7vlJu+U/7ZnpOB89rfaYrTg3fUzJB4Y+Pvzq3eM+zjnMAiTWpj32eAH22+/F+P5Vl4Fvu3zoyaeC6uJGK8egnzQKvqEOMQNX9l4phILLh7QtSB29sEq3NbbLsh+dkjQ/wpWfbq7a9HVs991tAqYePhWnzbsaj6xbh6f+9CdTklALjj9+JqZOncq32gWTceLJQDHx2IF2mc8N8iDPWtx+YBk/PBS6y8Vf5ZuYnbwIPB/w5sP21OGTQL64LsqswY/n9OD0r1+MA3k5HlYpheYkFjo5DgxOHv5LyCAOFqtmLfBYaAfbFn3gAGBpgpraaiGBD6s9khrzfGwXA1zeefu9A+3qwb5Jx20Da5BNcNkt2QirA7qgfOqsDmAShA3eQHBcfdJv3cBjGeN8/Mm2DCKRF/1G/fRBus2f0PbCN//SB31gnreriHNosArLiktyx5FYsr8pYMiHQS9dOpkybUVsezjhMS895A/zDJtQaDbC+KQRI8hgh6t1wzASDvu6cIJ6RKjSazqkz2ggvM8gGWuUMRG2i9fM4VB/2RhSm4JiJ2X67nNAOJaINtgzsEI7edmttlsdB9ssmq7wikriXJAzV62BUML4pqyImZXZbp0QrT1hvKW2OC6sX+kLx36dY95fuMPVqM3noJ9yPvvUCFoRDZq7GijR95AbA2HiGd5PPr6KE/Tjjz9uL1M75zP/n2CK+Ljv4eRA62k/JvFosBJJ7Q8Wr1SxpOwoDJkeALj//vvx56eessWKY12MQQqxXiRlq5X8oSNyhh1ilya8AZgA75PLlUo2UdEi6oODOuwgi9nNF5IKz2SFg+tu/Rhee+5S4PSv4f8cNdEHTTgzSXEyJn0mR1IIHcfBEW66GACl+ua9zShu5tvBNkt5mHhOKWFQ2+RyXETEwokYUU16mUWAVR4MhMHvJyUjQBKq7Afblh98TesrrpByKSHHdFghU53lhT1hptk+1mcX0D//cE/UCZmrJ9VjmQmaPGX5AJBjofqm08aKa7c6nIBWVavlYEe2w+CrhTdoUSv/G31EPKjA0TeHkoklv70dYXuEK6KwOrWfzbK479cG9f4lFjoWDlvFl9JepnYXkiQuES4R1AnJ2ym7Xo+lqumyNMcc+ktgFBfWrCcdsmNuUdw2QB17kqfZCPpMV7iii/mJfuXZDc5Ejvn8RO/shOQ8adf7wU/h28bVsNXx8cP22JC1k2YDdfvqXMDHGmcICWa13u0leBsesS+EqWeYf2HcuT1662PWJdz7hx9+GPxpJUM94MP2us/ut3ATtoUe9ZNrLPR6X8k/ziG216+EnVtYZuWGt48D4WpXTmE8BihNNct5pH54q9yy/rZTgEalUAX0InVKClXOMtrwzknITAJJKD0Kyb2xb2r8ii3T5RXmC464AjfffLn7wFVe4k+iuhItwNHgN4HKZR3z1B6G8svawrKwupaMymXMO8lXpxxpJOii4whzC6gj2bBeWNlavQJn6qcts8fQMyxUvkIW0SY/PPjUBTuDWxaSSUMNP+Lug6YO3q+xd82GlRLHAuvwUF1LhLTi1VCyXpXjwsnYLxuD5UAWrEufuc/NyVznz+UEPHxLQLimg0T95brlI/uHHz0VoMHO0PID2cnftJ7yGMpv1Ve/G5XaUxvehpjPCjZujAuiLZbHqwFNjsqJ2XUQY/edoftrgzJcaqtM7S4mcvTBxX2oJStVtsf8iNjYKS+eJtRuYWRpjbUARjF6CxLhnDCcrY2Mh5NmmMg+rgyx9I+rL9bNMj8g1BgqcPF2hOFo9yU4z/xwv7wbNL6C2SBBfcG1AbaYEbqwZVk1U31WslchV/VLir3HC22S8XFYjCkNFW9BDUbKrKZOUkXbWmAH2PDxiVQ2yIYFQFpM4sKVIqZJwTufApt3UjUIZLvoICcHkZzq+JAu9KYx1+HkXACvN0bxLGLzyauE9jFBQmBrrSPZ90lZ4XewxK2BsPrUHpyTMgmVMmqRy6f1eba1S0Vb5RIHJ+HYthBRvmkTUUfzTlwiMfMhyMiPIGoTlHFrn3WXk4A/wdmPceGkXLUnu2nIQcPesjGhWWh2OT783nOcVEb+ZbzZN2bHrrz8uV/fwdFKRFj4o4Fmm39KVziBdEi8Ydz62PUnExjnUR3P3ifFeNVYU2hWAvbM08eUhTlQMJv0BHIK4yatw3YOdciu6jB038MYDORKHUaAkcS9/aab22aM2ErXx16qT9sYzKM/DHmkMpYR/riMTlKeKVn2qzBlaDdvmRd0pgxoVuKfcN0gudRgi7iLFf6GHS+bV3YCj7iqLcHPonMSrUTH5ZiZYqA0Q9lMKraMCkevU+hNcZW+AreyKuVXxwd90MdIWYIWhsGuBmho0YVUkWOj0rLhcsoHS7nucOq5vbRe1OsoxiQjptGc8gmlwrKoBry1JrTH4y6v8mTgVzpTK1P6RTIk2fGIZMhkuFRkfuq/6krWdISzvxEsGYoOx4EXMOAJwB2M+kxv8MH1+MmNfSg7sq/JxOeX7ScZgi5OKJ5c2tv5Wm23IF2qS31pGfOZ1+oo7DqmJpec3Fynn5T4XKftTbINbJ39L8aKbBILYRxtB51RfyA0tVMrdKVjveB02ibKFIdjwJV+eqi96UhhebnuQFxYrnYwpJ6oK8HQ8tiGpNx1+5UBbame+6W+8hcvUTdzZIt1zVaYy6precGu4gzlG7F2zWnr3XYh7yc/jlP5yzIewsPS1kc+n6zugDa4XtlOQw5F18n64crJyNVWS5rt0UkfusVJJxaEiHRX85V2e0ptXWhtTPpPWpSf+qA4w1ZH3L6IHVnpNM4WG4xhUA2mqJVy5amOQuWnoZf5pGR+K9nYUT6NY/VU1vZ0bUCo0ylWkESKQ1ovKouRpA7zQkXWUT3FRc4FKUUlMRJlSTJ8DMz2qOyP6SPtMk9YsyLbm+p0HeaM1ZFOrrzZT0xLXmUaFMznysm/jeUTkXncQaas7KU6LLPyx2QDvipSfaZlny1JeCfaALcr7Ke02l02Ekpx9UR9rjNgkihifpz8KekEklCZQvqksc24jyH3fDhxlxxYr2hzIB7b8mLvFYelEt+9g13GbSekNWDe+VjggBhwkgh9Rh3CynowYMl8tbmKA71jubZZWE4d7k/wPehRS0ze/Cv8ZZl0e92iv6N8Mg+lX6F0K2S+MOWVgd1uCs8/y0f+IKm3V9OxGLfUY/On3AVSP2ph1X/5nBqgjOSqIeWUl9ZJ43H7gplmgOCHSco0FVTPn8qX8laOmXHqlLWgU0mFXtcnn/QolExqp3DPB0FBApLm3WF/SoR6vK63QDf0pF+ht7FMiIW2IkZ51SFGbJvyGJovlQEt/8xGqK8823ao4G4rZuEeMKN8tBvcSe2KkFlEO9LPuAa0Qqse9qFLeeHExXLZUljNo14eapMlwp9SHcok+ihi5QGHZpteZWklGnamiXLSxVA2WWh71toeSSY+2+Plwb9A2sqjDn1MMLQhjctWVU6+SFah+RVOCKU8JUJIOekodPsYNh2JfFHuGKfljEuPfLX+t6eBXAlxqOpgifKkT+nEdDIKitxinBT+pjpc0stUy7Y/Y0LjJXzdLuEC6lF7KK60DzGWMS8q4mmfUhZq+9RwsBuiktt+YSsMU+vqI+HFMrVXbU3lGY9PX6iStb9AoSQvA8pkWgaIXMQuCIiQo4wqhlWhJakjcZR58oVx2VBeocuJPKpsEVFd0xO6UjpTccm1AqmwV9Tg42XxsMvrYk+U+WkdEaTkZUtEy7TZDURpmAWCT/2RHq9fDFTps5C2gx7aM8wSfGVH5MU60d/Qf6W8pC3K93awp72udHm+/zVfkokXbXjETvK2utfXdWO+19df2WRYtZNOemtnaG8apx5LJ6Spesznh7qrdVQvyrCt3ly5FsKCiEwHTxSB1tR86VBF2UrTaV41rnQaChd3KpBa8oMAlNWHdkonMWEySJjiIR8VygfXWZ7t1bI0TflS/yX8UrTFsUzte5zzKfSjdQJPvJxvxRg0/9g/9jpRhvJ4+KH8oGuKD6d2tZ1bqkP5VH81zfr2TcNUKI0fcMABGDeueHlG1aAGeDWf6VRPq/Jq3rDlHbVq9WGlh20j0VatU6TLJwXmF2Xl9qf5Ul3NY7pVB1XlWL+cx07WXelQFohYttI6ad00nsqm8aqMT5BEYhj9kepI466ljGOiOUaHO/BdzmZnrGs0qVV1yE31pXEWV9OJogHRVrKt8oard1vqyrlWOtK8weKqv6UwrT+0bHHCGiDXYsxUx4Wf1PxMmJYpX2Er3drrVt9Thn4P9H0ge7ciZdlXWLWZ6k3tKF+h/OArYNeuXRvVsDzVbV+zZqlWYpJ86Utfiu9973u46aabQtbQIA9snjQlYViNJTlJdLDJOYTdpPZQ0RSUoeSGVZYQnoCshoUeodJymRU6otK+ITEqNI84lvg94rqhQpWQR4ZruX+FWeoLr5nK11tlbFrbK/S20in9se6Q+JbtqW7LcDA9nNU6nDmUahlGv1qWtsos2lstLdo/gnZUlQyRHrmvrZUVfvoiQmmGKdkW+dTDsvCxpNJuI8Ieroroqz6UUHw4bSjsFicF+aUyt1qcxKU3tZPGJc/wpJNOwqxZswYQs2Ta+eC1vm4pg1TGO/Lf/e538c1vflOyOcwIZAQyAhmBbUTg3HPPxWmnnWZaxLlMaGEcVspNfzuZi9nZisL2hYRtdCBXzwhkBDICGYGBCIiQq2F4S5z/8ogKWZ2szW+H5SMjkBHICGQERg8Bciu5VivjVDPz40vu+ftdOrh9MVglyeQwI5ARyAhkBEaOALlVH9ZOydlIWYVpgQSreSM3n2tkBDICGYGMQIqA3t7I1+emh7g4efqCj2RJxCMUykdGICOQEcgIjB4CXOzyY6ScPBUVSblkyh7S42MepdycyAhkBDICGYFRQoBkzC95pVvGVE1SJlnHn6niz0DxECFzXzkmRsmZrCYjkBHICDzfEbDti/AjFFUsSMz2NWsSsL4FY2RMci79ekG1ak5nBDICGYGMwNYg4C8k818G8i1i/7KPrZRTUtbXqUXKJOnS99W3xnqukxHICGQEMgIlBPRWR71PRbsTJkRSJvGSiPkNPm5XaDuZ+fq5mpLGnMgIZAQyAhmBrUaAK2I+QxHeXWl6tBhmIm5fjBs/njvNkZgzKW815rliRiAjkBEYFAEScMGvvnXBPH0iKY+vvA2OlfjJR0YgI5ARyAiMHgIi5fFcCIeDv384gJRbbV9Uf/FACnKYEcgIZAQyAluHALeF+TFS1go5+Q3E+JJ7I+XEhrO5dpiTghzNCGQEMgIZga1GoCDlneypY62QtYJu921k7nFw+RzshD0PCuUjI5ARyAhkBEYPAZIy+XanncbblgWJN30kuV2/c2M/Yx6evhBzj54bWVNGICOQEcgIEAFfKdcxfryvlPXUm3g3vvuCN/VsZZwQc4YwI5ARyAhkBEYXAX+Iog3jxrUP4FxysJGyGLoajq4rWVtGICOQEcgIOCnX/EZfAoctihFImfn6WnX6y7f+FcCkVo5mBDICGYGMwDYhQPIlMbd6uIK38Xz7olazfY56zbcwtGLeJsu58g6DwAMPPoT7H3gIGzY8tsP4lB3JCDxXEJg4cQ/s/+J98eL99h1Wk4YiZSrw7QtuPtuech21evHNkvw65WFhvMML7bbbnjjiyH3xFy/cY4f3NTuYERhrCPxx3WN4/ImnRuQ2iZk3/Fod7XyNPQW4lPYVMlfLCN/myy+5bwXaWMzLhDwWey37PBYQ4NwaKSkPtn3B9ob3KdfQFkmZLyXy1fJYACT7mBHICGQExhoCrVbKzOPRzoBxLqWNjLl9EVbPY62h2d+MQEYgIzAWECABc7Xc6qj7lkUN7eH72NxbprCz9g70jb7eBZg5cwF6q60YLL8ql9MZgYxARmAHQUCkTK7VR65FUrZvmbT7izIYNxYfISeXSbMXC2bOxIIBLCrTlTCTawWQZzi5cj6m84tC5ywsGVp4Tg216fOxkuUMVbrwHDtRnzO/kq/yAeFKzJ9e3DTWyZ/h9HPOKetmXdmTX3pRS2065suJAWXUn5Qj2Ez9blEnNrlUdg4WhvT0aDDxK7Rv5fzp4d6Lt60kW8WA+lJfSuUtfCXGqbz5Mx3zF4a+ipiEdg/IT7EoGcuJHQwB8qtxrhbD3KkI2xdGyps2bcIf1q7F2j+sxdq1a3HffffhiSefjC+8H257OtGDHpFwbw960InOjmHW7ujG8uXdGK74MLVmsaEQmNaFrlXzS6Q3f9U0TKvWITmcswrzVjRx/dnVwsHS0zB3BV/m3URzxTxMmzYPK+zl3k2smDvAQllJIttc0YWF089BPHWkZaZvBaK6lYuwEF3owkIsEpFTc1pnxTysOqcGI+Zpc7Ei+nY9uky2C1MXvrnAJPGMhDx9YVdsR7O5Al0rFxUnrkR2i9FWvnZdj+unzsP80NiF8+cB876NuVMrbVC7q/lVrLboRBZ4thB44oknjGvJt/qQh3kYKfPXVTc8+ig2PLbBnmXd8Nhj2LRxo282j8Drzk6gR6zc2wt0dhrJ9i6YiYkTJ4ZPWD2HlfGCOcyfg55kpdxS3vzg6ruiJ/WPOqp2quUzF8Btup45PS7Q0qb5NAdzgs05PYV91cNgNi1/BFcKqZ/bLT4NXV3AwsBgJIGpzEgPW+0tRNeKhPzS8mc6Pm0qyD3DOVYuWgh0zUXX1JWxTQPqBSJeNT+5CigJTcPcuVMxT8wYyxbCOXJuctKahrnXp+kovMXIYL52zZ0H823lfMxf2IW58YyzRZXACLAahrYs8gwisHHjRjz66KOlD39QlYeRsr0QI77zwn7r2gpHuHuBjo4O9JKMQXLusTTjHd3LsWEDCX8DNlzbgQULIhOit5P516LTavmfweV70XGt61neDSyYk+4x92DOzF50y87yTvSUyoOB3gXBJn3pRM8C17FFm5SdMweg/VhvmDaTtu1o0alz52LqvPl26T5/1TzMLa2EF+LN058hQl45z7dPdEk+fV7rFefChVg4bVpBzAPqiVxXwjj5bJ5ourBy4RArWJLXypVYNVhncMWKc3w1LZmVq7BqWhfO3sIiX+JDh0P4Om0u5k6dhze/eSGmXh9W71Q2aLsTS1WskqIc3XEQ4IPG9iOpjQYazWb8WL5IWU9bcE/Dn0weKR2HBnd2orOH2xa96O3t5ELZj3Q1ySVmb6/fsOvoRrdkUswGlS+2Qzq4Cpce1rV4D+Zopcybgmm59Kc2OzqK7ZIt2aRsR7CvekPZ5HbMhuXo3uH3Y7rQ1bUQ50yfBxJ0iXNWAl3zpmLem0V8AnEUwnRLQVscUpsS0PxpWLEi8WtAvVAWtgOMNLu60LWysoUh3cMM44q1pXyyX57uAbeUbZG5BV9pG+jC3PSiZdB2Jye3KlYtTOesHQyBFt/QKz2TYe+6CPt+thfYosLQTSIR96KXxEwCozDJbmYPOpeHlfKW9o1HKp86ZEQY7NiKubwCT0VL8WfDZsmBZzdBEpjGvdiUBOgSV4Zzr8eKroWYHu+ObQdfRUDc7x1qRZu4wu2AlZHMuQc9xBaGrXqT1XeiJ0anzcW3uxZi/qKQY6trEX3YL6d/scLwIyPydUtqtwKrLanM5c8wAvzR1PR7eUxomdwE6iLfBpfS4dNsNvzXVtOKw/Szs7PDthW4ko2HVpjk6B6uo7dwDEPe9HBlLlVcvfYugHZGlD3scBg2B+gayqatvHf0PeXQIu6zNpNL5UpDp839NuatOgdDPmlQqTMqSfp1PXBOLbnR11IxtwNWouv6cGORC4vrB9vCGOSqoIXeaXPnAvO0rdIFLmC3/aphJL62cGqwrGFjNZiCnL/dELCtCb3JXlb5o9X8gkggZWb39fWjr78f3Gzu7ycp+0dVhh0aUSZbF9wu6ChuwM3pTbYMWikdSt6Izm/QzezpxPJrIyUD6MS1y7vRazcOw83AVs81j9RmK/mYtw02o46xEOHK8HpMnTfdiTmuSPlo1pYIcxvb13U9VsxbhXP46Bs3gUu29WgYn7qYV77c1xbGgDrzMY1PkfCqwG5izgsr7Fbt6ML1JuhtmDZ3hV81JPvg6Dp76NVyyV8+djeEr+kTI1XYSnpCu6ub4ilWQ+mq6s7p7Y9AWCprgWwOhLzaS17ykubKlSuxfPlyd8x+mqSOQw89BBddfDG+8S//sv0dzhZHFYHHn9iEA16yz6jqzMoyAhmBAoG7730Q++w5ocgYInbuuefiC1+4BqtX3+NL4yA7Y8YMHHHEy1DnlgW3MDZv3ozNm/vsw0fkbFuj0RhC9dgsKh7N06N1Ho7N1uwoXi/EOVo9lsLny5cZnu/t31HG4djxI3xPhM9h2GsumFaevbrTSbnPM1nS1uaPbJR2o8dOg4fylI/l5WO0EejC9c/BsTJ8lJ7v7R8+UllyIALkX32bj6XtWilzdWxsXW8DmjV7dq7Z2Io7fQNt5pyMQEYgI5ARGAIB25kIC5v4SJzd4NPTF/AtjWZ4ankIXblojCDAF3HnIyOQERh9BEZ7bvn2hfnJx4lq9gDd8/pKdPT77FnXuMvO7Xi6v4n7/pi3bp71zsgOPCcRmLjbzqPWLnvJvX1/r8ZFs+82c39D/0bNUlb0rCEwblwd454169lwRuD5gMBWfgu6BTTt2mBuq5OQk3cpGz+PnqEWtnNWRiAjkBHICFQQMFImMfPnoHjUAjHXuVomUecjI5ARyAhkBEYVgfTGXlVxO0mYB1+67D8HxZcve57/MFS1Sk5nBDICGYGMwLYiUH0UTvra6/xNPv6adVtYKddrqJOo7fk4ieUwI5ARyAhkBEYDAZIxD62WtYUs3e16C4b9/JNtXzhJ540LQZTDjEBGICMwegjYi9/4HuVGo/SlEVlotwWxbuoxZIkYOX93RDjlMCOQEcgIjAoCjUYTzUbDXvzG+3ak21r4ZWuuntv1heu4hBYxj4r5rCQjkBHICGQEUgQajX7buujv70OtWefPPxkx6/sh7VoUc8XsR4woI4cZgYxARiAjMEoI9HOV3GiAr7ao19vQrNdRt10J35rwu3vhUTi9dlmMHbcxRsmZrObZQeD/rngQN9x2P37/3/mr1s9OD2Srz2UEDnzRHph99P543fT9htXMRn+/bV/wHfZ81VBbJFxn4Lh94QTsq2StmvOaeVgY7/BCO+86ERe+cV8cP2nPHd7X7GBGYKwh8F9rHsXqh/80bLftRl+jiX5uY9iCGKjxFRc8+HNQjHI/Wfsalg55cZ952Oay4I6KQCbkHbVnsl9jHYGRzi1/JK6JBn/hyV4Cx/cOFb/bF7cvCEwm4bE+PEbm/7FfHZn8cKVvuWC4klkuI/D8RiA+4JZsYcRXd7aCJpN0K1RyXkYgI5AR2HoEIq+Gpy5Mk7Yo+O3qrVe9nWvyR1Nb/RDqYPmj4d4zqXs0/Ms6MgIZgTGHgL3SgoTMbWO+3sLi4dUW/DXr0WxRmTR7sWDmTCzoHaaFTIDDBGp0xSYfA3C7QZ/rjwGwJ3D9BYDFZY55XcBkhcpn2CovLc/xjEBGICIgIm4jIdfrsDBZNQ8gZX0fO2oYQaQTPegRCff2oAed6OwYpoKObixf3o3hig9TaxYbAgES8vWTgXO+CnB/mZ8f7glMZp1HgdWTgQvyAxtDIJiLMgIjRyCScnsb+MrkehtfmRyevhhq+8LvEI7MYGcn0CNW7u0FOjuNZHsXzETxK9Jh9RxWxgvm8Nek56AnWSm3lDdXuPrWr1C3WIVTx8Qtlc9BT2xWD+bQNoDBbVpheesk8RWD2bT8Fj5G2892ZCEuOAb46g+BBWJn/AAAE+lJREFU1Ykrafqrt8JkkuIczQhkBLYRgXpbm21btNXbwDhXyvYSuKC3tFIWESscqe2Ojg70koxBcu4B0zw6upeDvyJtn2s7sGBBoMXeBejtZP616DRJ/zO4fC86rnU9y7uBBXMWQAtzoAdzZvaiW3aWd6KnVG6OoLuzBz1i5Z4e9HR2mu1BbSZ+DYwOw+bASjtGzspVmPwo8MNHh3BnNdANYIEtnYeQy0UZgYzAsBHQdgVfkUxi5qGbfwzjI3EiYoXDtpAKkuDmcNuC5NzJhbIf6cqSOSRvC7vRLZkgasGg8sV2SAdX4Qt60asNj17GufKdmGjqNDvplkhnZyfmkJU7O21V3y0HBrOZaBsQHcomt2M2kNLGxnFBV9iqeBQ454eFzz/kavn1wOQkryjNsYxARmCkCPiNPW5btPnLiOzbes1IzLZSFhErHKmRQp5E3IterkA7fAVql/cze9C5PKyUt7RvbOQ4AvnCOJfkWK6VsoXlFbiJdnaj2/a7uf8dSP6Ztpn6uKPEp03F6j2B14c9468uBI5dWN7KMFcfBbpXAxfk1fKO0nPZjzGOgFbF9oW98BSG8ti0uH2x7YTsSHV2dti2Aley8SBBh+UqCbvYcogS5cgw5E1P2Hqwyh0d6OhdAO2MlBWmqQ47cfTM6UFv2PP2+lvw0VbFrie2YSibJPqJO/Kechdsz5ir4BSeFvHVtwI4JrkBmJA5xSdPhm2FpHvTLdTkrIxARmDAt6WLG3zi4Lh9kaKlwjRv2PFAlJGTO7rR3TERMycuMBW27TCUsqHkjehcj62Kl3fyDl3Q1olrl3djJm8ESv8gT3TQh17bfw5niqFsUldHN67tnmk3ES0ZyXz4NuXSjhSSbM+BP/4mv5jXily7fwjcwsflAHQv9Mfj4hf3uOWxUBpymBHICAwXAb1nKJWvvfSlL23+7ne/wy9/+UvLFyEfdthh+Ou//mtcd911qXyOj0EEfr7mzzj1qBcN8Dx/zXoAJDkjI7BVCHzr/92H0w7bfVh1zz33XHzuc5/DHXfcaT8oorXyK17xChx55JEDb/QNS+sYFuKjea0OPhmSj4xARiAjsP0QaNqPVVfttdy+oJBWzNUKYz2dybfowfzioAKLHMsIPBsIkGfTm3z0Id7oSx16rhJy2sYczwhkBDICOwICVb4tkTILqwI7gtPZh21HgC/izkdGICMw+ghszdwaimfj9kUqlMZHvwlZ4/ZG4JB9xuOePzXxvTvXb2/T2V5G4HmBwMv3nzDidpJntXWRcm4kZWlMC5WXw7GNwF/s1oa/2G1styF7nxF4LiKQErPaN2D7ggWZmAVPDjMCGYGMwDODgHhWoazElbIKFEoghxmBjEBGICMw+giQa/nhFkbKu5GUaTItSOOj707WmBHICGQEnr8IkF8H49gSKQuiwYRVnsOMQEYgI5AR2DoERMjiWYbpajmSciqwdaZyrYxARiAjkBHYEgIi5UajYaIpIbPMSLlKyEpvSXkuzwhkBDICGYGRIVAlZdZOiTmvlEeGZ5bOCGQEMgLbhIAWvf39/aaHhMwPD5ZFUlaGQlU0yfwnI5ARyAhkBEYFAXIrty7S7YtUcSRlkbDCVCjHMwIZgYxARmB0EaiSMrmXn9KXR2RShUrnMCOQEcgIZARGBwHxK0MeSkt7iZSrhRLKYUYgI5ARyAiMLgKD8W0kZbE2zabx0XUja8sIZAQyAs9vBHRTT2GVb+OeMmEajLmf3xDm1o9lBHp+dR+W/eYBPLDhz2O5GaPq+4sn7oJTj3wxOme8ZFh6r732Wjz44IPYuHHjsOSfD0I77bQT9ttvP8yZM2dUmpsScyTllJBTgVGxmJVkBJ4FBJbcshbX9T6KnV71Cuy2+8hfrfgsuLxdTG544in88y9/g0ajiTOPPWBIm//rK1/BhF12wQc/+EHsvffeQ8o+nwofeeQRfPvb3wbxed973zuipqcrZMarfFsiZWqWgMIRWcvCGYEdCIHv/vYB7PTqmZiy585YsE9eKatruh/eGXfPPBLf/c/lWyTl9evW4byPfAT8bcunnnpKKp734V577YW3vOUt+MxnPrPVWFQ5VmnbU1aiGm61tVwxI7ADIPDQY0+jvusELNgnX3an3UE8iAvx2dKxefNmkICefnrLslvS9VwqJx7EhfiM9CDPplybpqmr5UpZFUZqLMtnBHZEBPJ43rZeqZLGtml77tTe1nFVfU5ZyCSkrK0LsjjjEslhRmBsI7Ctk2dst350vM8Yjg6O1EIs9Y0+7Slrn5nlCSmThZ2QR8981pQReHYR4ATIhDKwD0aKyUjlB1p8FnN6P43j3wX883/9LTqeRTdkWliSmEXGImfKxOeUnZA5gBv2YTofGYHnAgJalWyvcNWC47HnnnvGz/ELVvnKaNUCHH/8AqwK7z1o3DDHZObc4O9B2F7+0c5IDpLIqPoW2h0xmnPD6OoXvjH0BeeotqFBntw6jvSdiIGYsk+os7RSlhGFI+m4LJsR2BERaNrV39ZNnq1pzx1Xn4ATlp6Bnz/yMxxmCpbivL1PwCubP8fPzwhXoly933E1Tji3Fx/9+SP46GHb/wqVuIzkGC1OMHyu7sDXH3kEZwQHlp53Hnqap8f0SPwanmyC+/AqPMNS9MdJOV0py2iyUlaWh6PVCWWtOZUR2M4I2P0RnwQc08/sZyk+fTXw0a9/BIdGW6fjaz/7KLB0KXoDDzZ7r8YJJyzFGT/7GT5y6DPtU2v9I+TkUcKtlzDgoz/7Gk6P+DRx+tc83Xv1CfYsNJ+H3nvvE3B1bxOO1dW4+lzm+efcpWrTUpwb8lhm+cQ25gUdwj2xORrjYGtHsmxr5c50I/hGnclKmcn0QWZ/v+fWGs71MgI7AgJ9fX14/PHHt48rd/0Wtx9yMi7c73GUTO53AA6+4ybc9uQhaDSW4V2vAk793vfwnqrc9vHSrPT1Df/LNKOG4V0LccMdB+OSQdq933uW4Z73BBCWXYyDP/m/8Z5LNqJxxzVYcdE9uOfzAJi/4ErceuIpuOnk89D3pXtwz6kC7n/jnQevwEX33APLuuuLOPldV+K1XwK4Y/Pk449jNEfCrrvuKsMjDo2Iuadcr8OYNtkKMVJWmoLFzb6RXd6M2KtcISOwHRDQ4N8OpoCGzxlbAZUM2iYKmiy/Czjlkim45uJrMGvZxTikJLf9Ej7Xh2+Pbdrmg+0/ZAoO5l5vK2V3fQmnnvpFQuTHIVNwBwUPuQQXncx9dwAHT8EhaKJxxzIswyW4RvmscddduAvLsOzgZbhYOnAK7mw4ygP7JQpt14iwpz+2VZG85J6OxO2LlJBVabt6mo1lBJ4hBDiet8tnysGYctcy3HRXxR7JYsoUTOH+9pSTcfJF12DZyctw6iXLto9fLdo/UqhHBb/B8KF/d30Rp5y6DCcvuxN33nkn7lx2MabERaI/o2s+xHsEjjGf3Y2+Gb4XYxnrx881OFl1UtlRiI8Uw1SePvOwE0W4IanyQMouQDkJhzqSy2FGYEwiwDVqOvCf2fgsvP8i4EuXfBF3xjv/y3DJqV8CTp6FybaSdn8mv/8LuOiuv8apX7xzO/pXPOUxkht95ITRwS3gc+olWBbxaWDZJUw3gSknY9Zk9/HOZTfhbus7clNqP6Qnz8LJ+BK+uKxoU2PywZhydyXP7FR1JHUSP0baRnHl1k4M1VcoPcWeMs8m3P2viZidqCWYw4zAmESg6auR7eX75AtvxI3N03Fax/+MJmd9fhVunAU07vY5ZZMfk3HhjZ/HXVNPw2nNG3Hj+6dE+e0SGeH0ps+jcQif0zuSJ4ZnfR6rJs9C8+CpEbcps2bZlYXMOmZcWgrDybjwc+/H6ad3xGePifPnbyznYcr7cePn3POoYzQaMoo69IyyyDmScslGXiaX4MiJsYsAB/poEcpwUZj8vh6seF8qzZUZgMnvQ0+PXbOGPdU34O9XrDDB7e2jCCD1crD4aGM4EB8/cb7h71dgxd8P9KKEWYoh4yWguVddzXN9JR0DTWxVzkgwTA3oMTjmMZ5+mBdJuRlOSTwPjfAkmtrL8YzADofA9ia8HQ6AUXAoYzgKIAYVIuG2trYBhMyySMqUF/Pnh+FGrwOypmcXAY5pjetn15Mdy/pIMMkYtu67kWCYaqjzMbhaDQpZlsYjKctA7oAUvhwfywjsu8fOePipp3H1hP3w4fr9Y7kpo+r7Zxv7A089DeKzpWPcuHF49NFHsf/++2Pt2rVbEn/elB9wwAGGC/EZ6VFdKbM+8xQaKYuIFbIwjZt0/pMRGGMIvPGIF+OffnU7/nDM4bhkl0ljzPtn0N0/b0TzV7eD+GzpeOELX4jFixejq6sLU6Zs55uRW3LuWSx/7LHHDBfiM9KDq+L0kxIy4+0kXx79/f3xMi8T8khhzvI7IgL8qaP+ZhPLlt+Gh5/IL7pXH+2z+072G31b+ikoyr/3ve/Fl7/8ZVxzzTVb9UJ32XyuhVwh84VKF1544YibJhLmnjIPEnR6xJUyv0rJg4TMSgz5G175yAiMZQS6jnsp+MnH1iOwNcSz9dae+zXJr76HXLdHkEXSarmtlEnA/FkThuAjGnH7YnSeTZSxHGYEMgIZgec7AiJhbiMX8WRPmY+6kIw3bdpkWEmI2xl5pfx8Hz65/RmBjMAziQC5V5wrO3GlvHHTJn9bke1xtPnXKpt5pSygcpgRyAhkBEYTgVqt7rsT9nbOQrORMlfLmzdtsi+NkLXb6vwGUhP6QkkhnmMZgYxARiAjsC0I6At6jab/HFT6HhKWhZUysLmvz5bRJGUj5GbDXry8LcZz3YxARiAjkBEYiIC+oKftC7ufF8SMlO0dyvyadc3vBqLOfWbe7RuoLOdkBDICGYGMwDYg4G8iDQ9UuB5/vMI5N7Aw7wKGqFE4bwvaD5Fsg+VcNSOQEcgIZAQGIBC4lWtePoGht3OaXA1o12MZ9bpL2vNz+m52+OrfAKU5IyOQEcgIZARGDYHS9gX3kPlpbx+HWp2LaH+wuW755W+ajJoHWVFGICOQEXieIqBNCG1ZMK2D8Xb/ZkkN48ePi18csR/zs2+dpOKqlsOMQEYgI5AR2FYEBtuIaI8rZb7tyL7Q5/vJJGt+8pERyAhkBDIC2w+Bdr7liO+9GNfeHlfKNM9v+L3qVf8Db3/72wf1Ju6D8J21g0q1Loh1WxcPnWsLeC3+E9HwFXGeaHhYGPJ453KwM1OiIUczAhmB5zkC4qZWofIEUYlrAudooauQspJj/JWvfGX8BrX0MNRrQG37goba2tr9TmD42t8f//hHvOENr8eb3nRarFdyqELEpTLViISojDTky8fTdIv4kPVbyCtL9RSG/BQYiT4fwpZ9s40Np84qnsO1M1y5oVzcGh1bU2coH1qV0UYVl8HkWuXvaHlDtUVlClPfW+Wl5YoPV07yIw4rHMD6VdqpbtJqnAwWVn1I28B49VOV54L34YcfNjnZkAzrtp944onYsGED9t33L6IgBf77oYfw0EMPSdbCVAHjSissCbdIpM6zeOh6W7OyLerIlkJ3x7dmqp3QwtXnZNbQeBdNrsoRw2peIT0w1ko2zUvjA2sPHBet5IfKS/t8KLmq7apsqieVrcq1KhusbivZNG848aHsD6f+YDLUm/qtuMK0HvOUX41TLs0bTK/kUr1DxWVvKJmhy8KjvqmQtmxjnvMafdZHP4Wl9wRF0aSdai/Delsb2up18NWc6RYwy6pYSNfEiRPx4IMP4vWvfz3aOzo68Nvf/g4zZszAw488Et8QVyUuKqseZoSOVQuGSLOOjjSuvG0PC2KmLnM79gWf2h54ptx2m2NHQ6t+bOV9KqeBlOa1qqO8VnJD5Wmwqr7CtE4ab1W+LXkah1U/WtmkncHy5QNDTmDpTfOr8eHoqtZRelvqSkcaUh8/8ltx2VG+QpVTh9qb5inOUHHKVuPMk87Un2qc9YYrq7ddlnVw8kcyKBdtITXYy9noUcFoQUllwVptW9p+ljF9yCGH4JZbbsERRxyB2i9+8YvmBz7wAXzlK/+AjRufxqpVt5es0KDAkN8NEfQAnk4zBrhq1RNOlrpRDoPdrcN+lH3Z8dRV+3IwD6tyGjxVecq1GnSt5IbKG46eqk/UV80bjp5W9dI2VHUO5Xe1LE1LT6o7LVdcckoPN9zaekPpp87U31Zx5aWh4tLNtPIUqozhcPPSOoq3qqsyD9OFWRpnacEPJptQlustVsjEgh+ecJyUPV22xbbU/XFirpLtqbV6XC3r6bbUL/Ub7TF+8MEHY+edd8Y73vEO/OM//iNqGzZsaN5444346U9/ive9733Yddddcc8999hSmoqkIHWkVV5aPlR8y4AOVTuXbS8EWvXxUHmt+nUoebYjLU/j0pXmqd1bykvLh9JTtc/0luTlg8LUlvK2JRypvpHKb41vwkR1mU7z0jTj9Kmal8pLD0OTTzJa3LpPSovoYPpcp8tJphqG0iJISFn12Yb046Tsb8xshTlt6GMkzK2LsH1hjxeXHjLwkwL17L333pg8eTKeeupP+NznPofXvva1eOc73+m/Zv26173OnDj//PPxoQ99CNzSOO7YY1Hv70f7hAnegPw3I7CDIsABrsknF1tNHpXl8JlDoNoPz5ylbdGcrJYrpDxam5vDweGBBx7AL3+5HFdffbXx7uzZs61RtlJW837729/itttuw6LFi/HgAw8YUfMskY+MQEYgI/BMI2D8WCLJUmLY5lsRYqu8oRSmJ/U0rjryLNC7srn8tw2SaC+kCwGPcQX9ohe9CF1nn42ZM2fi5S9/eRT5/wGygi3NUr8DOgAAAABJRU5ErkJggg=="
}
},
"cell_type": "markdown",
"metadata": {},
"source": [
"After installing the necessary libraries, we will proceed to download the data.\n",
"You might have to set an environment variable for pymc3 package. \n",
"You can do this by \n",
"For linux:\n",
"export mkl_threading_layer=gnu or set this in your bashrc file.\n",
"\n",
"For windows:\n",
"Add it in your environment variables\n",
"\n",
"![image.png](attachment:image.png)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Returns\n",
"Extract historical data for Apple (AAPL) [2015 - 2016], calculate daily returns, and estimate the mean daily return. Remove NaN from dataset. Plot histogram of daily returns.\n",
"\n",
"Use code below to download data.\n",
"\n",
"For this you will need to install the library quandl: \n",
"conda install -c anaconda quandl\n",
"\n",
"You will also need an API Key that is generated when you create an account. "
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [],
"source": [
"data = pd.read_csv('/kaggle/input/data.csv')"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(504, 13)"
]
},
"execution_count": 14,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"data.shape"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"
\n",
"\n",
"
\n",
"\n",
"\n",
" | \n",
"Date | \n",
"Open | \n",
"High | \n",
"Low | \n",
"Close | \n",
"Volume | \n",
"Ex-Dividend | \n",
"Split Ratio | \n",
"Adj. Open | \n",
"Adj. High | \n",
"Adj. Low | \n",
"Adj. Close | \n",
"Adj. Volume | \n",
"
\n",
"\n",
"\n",
"\n",
"0 | \n",
"2015-01-02 | \n",
"111.39 | \n",
"111.44 | \n",
"107.350 | \n",
"109.33 | \n",
"53204626.0 | \n",
"0.0 | \n",
"1.0 | \n",
"105.820966 | \n",
"105.868466 | \n",
"101.982949 | \n",
"103.863957 | \n",
"53204626.0 | \n",
"
\n",
"\n",
"1 | \n",
"2015-01-05 | \n",
"108.29 | \n",
"108.65 | \n",
"105.410 | \n",
"106.25 | \n",
"64285491.0 | \n",
"0.0 | \n",
"1.0 | \n",
"102.875953 | \n",
"103.217954 | \n",
"100.139941 | \n",
"100.937944 | \n",
"64285491.0 | \n",
"
\n",
"\n",
"2 | \n",
"2015-01-06 | \n",
"106.54 | \n",
"107.43 | \n",
"104.630 | \n",
"106.26 | \n",
"65797116.0 | \n",
"0.0 | \n",
"1.0 | \n",
"101.213446 | \n",
"102.058949 | \n",
"99.398938 | \n",
"100.947444 | \n",
"65797116.0 | \n",
"
\n",
"\n",
"3 | \n",
"2015-01-07 | \n",
"107.20 | \n",
"108.20 | \n",
"106.695 | \n",
"107.75 | \n",
"40105934.0 | \n",
"0.0 | \n",
"1.0 | \n",
"101.840448 | \n",
"102.790453 | \n",
"101.360696 | \n",
"102.362951 | \n",
"40105934.0 | \n",
"
\n",
"\n",
"4 | \n",
"2015-01-08 | \n",
"109.23 | \n",
"112.15 | \n",
"108.700 | \n",
"111.89 | \n",
"59364547.0 | \n",
"0.0 | \n",
"1.0 | \n",
"103.768957 | \n",
"106.542969 | \n",
"103.265455 | \n",
"106.295968 | \n",
"59364547.0 | \n",
"
\n",
"\n",
"
\n",
"
"
],
"text/plain": [
" Date Open High Low Close Volume Ex-Dividend \\\n",
"0 2015-01-02 111.39 111.44 107.350 109.33 53204626.0 0.0 \n",
"1 2015-01-05 108.29 108.65 105.410 106.25 64285491.0 0.0 \n",
"2 2015-01-06 106.54 107.43 104.630 106.26 65797116.0 0.0 \n",
"3 2015-01-07 107.20 108.20 106.695 107.75 40105934.0 0.0 \n",
"4 2015-01-08 109.23 112.15 108.700 111.89 59364547.0 0.0 \n",
"\n",
" Split Ratio Adj. Open Adj. High Adj. Low Adj. Close Adj. Volume \n",
"0 1.0 105.820966 105.868466 101.982949 103.863957 53204626.0 \n",
"1 1.0 102.875953 103.217954 100.139941 100.937944 64285491.0 \n",
"2 1.0 101.213446 102.058949 99.398938 100.947444 65797116.0 \n",
"3 1.0 101.840448 102.790453 101.360696 102.362951 40105934.0 \n",
"4 1.0 103.768957 106.542969 103.265455 106.295968 59364547.0 "
]
},
"execution_count": 15,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"data.head()"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [],
"source": [
"returns = data['Adj. Close'].pct_change()\n",
"returns = returns.dropna()*100"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [],
"source": [
"# !pip install quandl\n",
"# import quandl\n",
"# quandl.ApiConfig.api_key = '4XWVLg3qR7xBfGT4PF3i'\n",
"\n",
"# data= quandl.get('WIKI/AAPL', start_date='2015-1-1', end_date='2016-12-31')\n",
"# print(type(data))\n",
"\n",
"# data.to_csv('data.csv')\n",
"\n",
"# returns=data['Adj. Close'].pct_change()\n",
"\n",
"# returns = returns.dropna()*100"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Question 1\n",
"\n",
"1. Plot the returns and draw a histogram to see the distribution\n"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Text(0, 0.5, 'Daily returns in %')"
]
},
"execution_count": 18,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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tXg2lw2fX8ZmHDuP+ffOFvxNyXhqGIS+9SRBGGNb00kt6lnHF+cyYqX2mTLdXbwWYrLhwWLmYvM2G8TTMgl5LMiXYzMWXLQYHMvC7i8oUP2ueo7nUJQNT0gnxzHIDP/ih2/HA/rP59T67AH2vFRQfi1HES7NQS3F6SmM2POMx7HFTOo6QRmhJx0M/UG+pTOzneivEVNWF67DSjLPNiLE0zHpNMKv79QfapPMGn3/kCG7YcXTUzRgbhH26Mn1lgU1qZQ6qdYPF/GoLQcQxv9rU2ec+DTO/CzFLmQpbJ8Ea+udBOLw25kWCno/odZ4fB5Q1KrPeCjFZdeEwdl4+93HBeBpmPSeYTX63u4Fs3LDjKL7y+PFRN2NsEOa4s9pBNczUPpzUyixn32wEQn/CuVFWqkeVMJ2jWZAx45yD8/I8nzzX8zCjMhPx/1BOXyrQ5vl8nKvVWypLfwYMxswaZiPDWBpmlLW/a/G/8vv5SI8PApu9MHW36CnBbHys0JhFqc9LNE9raPrJuFMXy55dmfE5WgWtjLJFJOZqzKIhRmVyusb5b5nRPZ6Pc7XaZ8r0Kut+iMmKNcxGjbE0zIgx60f8fz7uwgYBU9ht0R69RAjThGe6Mssu/m/GjFnEBxPhTEatHxT7ftkiEmlBVVsj0ocMr42bSfwvDfHz8F41jVmJ7o9cma7DNkUfKyvG0jDzB5AuoyRze+kQcZtKpBv0qzHLWsDLOiGSyzEydF69i//Fz1YYtj8wRlSyrPdZei/J8gypiZvJlVk2Q3yQUPtMmRJKr/sBpqoeXKsxGynG0jBLRKHdfY80PJ7Dzkt6fBAQi+4mmPUHBJnHrCtXZmyYuY4mfE8W+sG1b5Agw4wbhlmvhjyNY78g8y0X6pI8n6z31Yv+9dZnT+FPb3y60LGJsXL+j1HJRp+Ht6rJakrSnwGhMZusunAsYzZSjKVhRukyutVZ0OGea3cDeQgjvilC8QeFPJ1R2+/E/bDqmXnM6Kf45R3XP4FP3PH8YBo6ADT9bFdmr0YCfa1ougyZM64kYzeJok0bqd3ML/c+P48vP1Ys4CbaRIzZ+Vx+Su0zZVqL6q0QUxXXMmYjxngaZj3qLOholw1mN7DvzOp513mHqY85HyHzmHXxHVpoREkmrmjLxN/JYHny6Dk8e2J5UE3tG5orcwDpMmhjVTQqM+rB6Bkm5ByiMWbdByYFUYS6HxYy7sPz2Fgx0WtN5HFAmaMySWNmJS2jw1gaZkHYoyszHgCDEDaeXW3ipz52D7797Km+zlM2mPqh8wGLa62h5WbrhcWhflj1xPBL3KH6hmOYpX16QWKYGSxRjwwrnaNoHrOyGSVZJZl6MSbIlVvEQJXG6SagzM7nQAd1vijT/Wni/xLNPd1ivRXgP1/7IPadWRl1U3rC2BlmUcQls9CtC4X6f8XNFl13g6W6jzDiOLfu93WesiHi5alFOCi860tP4V1fegrPnRr8IO2tVqb4WYsNMxlAwPW/h0pfLwOaMo+Zntm+17FEBl1RV6Z0bZXkoWRqzKL0Z51AG82G3zkIomw6u2HivGbMlN/LoqELwgitMMJUxYsz/4+6Rb3j6EIdDx1YwFPHlkbdlJ4wdoaZr/TivE3j/GoTJ87V8cD+ebz9048okXMJY9Zvp6PcS2XZvQ8K56Mrc7khjOeza82BnzvsIaeemi4DSBgj6p8qc1am3bTMYxYNxpVJ91bYMBuHqMweXJkkzagXMcziZzDObEZRlE1TOEhoGrOSjHHqf1PV8a+VSZuccSUZvFE3oFuobpO8Dv2Bm3fj8Nk1/NjLL8Hde+ew3gowO1GRu1jPYX2HKFPupY1yKUQRx55TK3jl5VuGep2Q8/MueeWWCdHNVxvBwM9tsl1FIF2ZbuzKlOlfEP9MXJmlMsxUV6bSRXrN/E+TZreuzLI8E5nHLIMx68Z4pOdXb3U2zGixHNcFpxucz3nM1FsqS7oM6n+T50Hmf2mYjSntN3aMmWaY5UzoS3Uf5+q+nPB9o9C0O4CoTMq9tFET5D3Pz+GtH78XRxfWh3odoTEb6iU2HDM1YZittQZvmPXy/k3GzEy5QV08Kp3GjKIydYOx7yLmBTtcWcX/Wt1QmeKhG8NMHNvwOz+Hshmnw0TZKj0MEnqtzBE2RME6GWaVuFbmGPexumTMxnMxGzvDTJ3E84zhMOJoBRGa0jDTXUWe07/GrBVs7KSxVBfuuJUhsD4qouj8y5E0EzNmw3h20t3STbqM+NDEMNP7p5omoEwLMBkOpru73yLm3abLKMtCna0x617i0I0rs2zG6TBxPieY1dPNlOP+yDCbqrpjn1KK5irLmG0QtNqCOR2HDDOa8FuKCwYYTFTmRmvMsvQswwA/D8X/M7UKgOEYZv0mmAXSrkxiYMKQb4gweKVRLIBl1IxZ2dgi+b4UKXcvCWZ7Ef+fb2M0C2EPz3JcUMbM/3VfzI+T1fHPY0ZzlWXMNgiqBZw3OQWRiC4hg0xqWDgxZqxv+pjOHW6QRd7LhN8LIn7+TYRTVRcAsNosC2OW7cqk/ilF7nz4dUt3n1zGa/6/W3FgbrXjsbnpMjaIMSubvsrMPweoJZl6cWUWEf937yrthJWGj2vv2V86sXfZDPFBIuJiHQLKM9/SxnWq6o195v9xF/+PnWGWVcLGhMmY+UYS0KLCxl+65gFcc9f+tu3YqBcfbtCiVDRdxnX3H8RnHjo81LYMGkWZoW7QS61M6sLSMAt1RldNCzHsxfLUcgMRB86sdI5YlVGZXE/j0avrmxbersX/JZlsTYYT6G0DRZHmXbkyB7ho/tWte/HBb+7BLc+UKydjEkgx4oYMBRxubJiVpDvjvufnUXEZXn7p7NgzZtaVucFQjYa8h06GmW9ozGhS81yn424gCCM8fmQRe09n576SjNkGdd4kP1Jv17tx53Hc/NTJjscVTTD7tSdP4KYnT/TUlo0G3c8wNWa9uDJrMl0GnUNnYDYiXUY37iI1j9kgNGY0HrvWmJVkJx8ZDCfQax6zWGNWICpzGLorYvnmVhoDO+cgULb3PUhEUcKYlYGZiiKOm546if/7ZduxdaoCZ8yjMqX4f0yt+rEzzHxN/J9vmAURl1ZzS4r/BbwCne70ShMRB9Zy3F/SMNugQdWv8PmfHzyEzz7cmeEiV2Yn3YMfRmNDE9PEt1wfPGNmZu0vAm4YZqGxmNPfg4gPPcljN6yVni4jaVjPCWa7dmXqP0cNegaaxkx5FkWZPb8bjdkQcrltmRieBrNXqMZ/WRjSQSLiHF6sMS2DYfbooQWcWm7gba+5HMDgyhaOCtaVucFQWbK8AUsvg9Ij+Jni//bXOXmuDiCJVDEhxf8b7MrsdZIiY7UTimZXD0I+NrsRuqelIRhm5MbrZg4zXZl+pG8cIi4MYx4bQPc9P49P3XtgUE022tINY5btyuzVXZCI/4t9f5RRevfvm8fhs2vaZwmzmXwWFNg4mqBxWSRdxjCqH2yZFIbZ8hBc/b1Cd5WP5+LaDhGHdGWWYRrdPyf69uuv3AYA8NzxrpUpXZljeg9jZ5ipO/u8h266rkxXkVegDthxaZi1Z8w2yofdL61f1JAqKrBuhZF8rmUH3fbyEKMyexH/V1yzJFPCnKlBBb/6Tw/jz2/ePbA2q+hGu9j0KSpT74d9R2UGnZki9fhRuLbe+cUn8Kl7D2qfZWb+74FJlAlmuxD/D9JYmY6DY8rEmKn3dz66MrmmMRv9/dEz9lzRJoeNd61Mm2C2RzDGvosxdidjbDdj7FnG2O8X+Z5qDLQT/wNJFJ7pphElmdq/sBPnhN4ijzHzJWO2MdudfuvGFdWO0WPpNFkIV2YJtnoFwIfImCXurC6+wzkYE/n0ACXPnvLss973MMLqpWFWYAKjzYhZK9PvW/xf7L5GWStT1aya7dEy/xeYn0zQ/Y9K/E/Ps0yMmfqOx9lAyAPnQCU2zMqQLoOesctEm4qskWWGTZfROwIAf8g5/x4AbwTw24yxV3b8klYrs4NhFu8AW2HiggEoXUb7TndySTBmedniN15j1n0Yvoog4oUWQLUcUNvzhXxsdiPUH4ZhmPWax8xlDJV4dxrIqOHkXFlszDDTfRSZwHRX5gAYMypiXjQqcwhsUVGEUXpjkxmVWWB+MkHf6Ub8P0hjhfrwcr08jJn2HMfYQMhDxDlctzyuTBrPDksYszK0q1fQWBoXr46JkRlmnPOTnPPH499XAOwGcEWn72klmTppzAzGjMa36zgdJ7YTsSszb7LceI2Z/rP77xdjzKSOp0OH9sOo8II6atA9tYKokMC6q3P3IP4PIzHxuUYeIzUa0/wMGJZGrrixkySY1Y/vWWOmMGBFrk9jdhQMCudpAyEzj5mmgS12bvpOs4BLtxvXc8MPcdNTJzr2zTIyZuqzOx8Zs4gnjHkpXJnxM3YcYszG+7mTxmxcq9iUQmPGGLsSwOsAPJzxt99kjO1gjO2Ym5vTozI7MWYtwzCL/+4VoGmPx67MtWZ7w2zjNGb9GYJhxAu5nOj0nSZ+f4wYM/VVD9q4kYxZV+3hcJxEY2ZuHFRDJYo44rlyOIYZMaQF3qWex2wAjJnqDi1g5EtDbgQLWRgHY6hQDWmCVpmEczx9bAnvuuHJtosc3XuhIuZdMGZ37jmD3/ncTuw93T55cMKYlccw64V5LAve/eWncOdzZ9oew2M5A2PlMMyoDa5zfrgyG4HVmPUFxtgMgC8D+APO+bL5d875tZzzqznnV2/fvl0X13bQmNGf/UB3C3ku67ibJVdm3Q8zJ8Fxy2NWlJXgCovRDuOkMVPvZdDGTS+Z/8OIw2FMCm3Nd8sVRirkXBZhH4aria5diIGReczMbPf9G2bNAikzyubKzEoubM5Pv37do7jhsWOYX81P4Evf6Ur8X6C/rcWG3tm19smDafEqlfhfNfzHbG390mPHcP/z822P4TxmzUuSloL2RYnGrLNXqcwgz4g/pvcwUsOMMVaBMMo+yzn/SpHvaIxZzog1F4pWypXZfjD4YYRz6z5m4wUxa8IctzxmQRQV2j0kjFnynP0wwsdu26tFqPoFojKPLqxjca3VU3sHCfUdmXnpbthxFNc/eqT3c/ekMRMTICWYNPtrxJNSTBHnmI3zTA0zeKGTkR0qGsXIMFJ6zvyvnKNILrONqhebBdOVyXN+N9P5UK66doanTDDbIV0GV9KUFDGG6ZmeW2/fb+jdn6v7pRCiA+Mr/qdaw50Y4IgLJrwsWi4aU7FdBpeNb6oJYJO5MhljVzHGXj2ICzPGGIB/ArCbc/7XRb+nGgP5jJn+MjKjMtt0OjLELp6tAcgOANjokkz9M2bZi6+ZDiQr8u2pY0v42G3P48H9ZwGIyccvkH7jv//LDnzk1ud6au8goS42pjF5/aNHccOOYz2fu9damWpUZiA3Dsm5ElcmMF0T6QyGmSA3z2ivt0IcmFvVDKeI56eI6AZduzKj/q7XD0IjElVtQlbmf/pOEcOMJAad9I/6NYsYZuJ8nQ2zZMyXJQBgXNNlyKTJHTatEedgYHCckkVlxpvFcc/8LxmzcaNbYxQ2zBhjfwLgzwG8mzH2mQFc+00A/iuAH2eMPRH/e2unL9Ei1i4XmTlxmyWZKk77kkyN2AWwbboKIFv70U8R8888eAgfuHlXV9/plzELoyj13SNn1/Hq992KZ44vAYBMagroz9CMcKG/daKJl+v+UFiebtHOAFhtBn0t9IGRHLYIIi5yGNEkSEZRolnS3ze5MofJmOX1q88+fBg/+7f3aQb8oDRm6nMvwpip7GQ/i1kUcXzk289hrkB9UPXa6j3n/R4YGlhKIpxndIkqG2h7jHps1u95IE/B4np71lpt80KHYzcK3d5rWUBjudNGg3PBTjklqUlJxq90ZZbExdoraCyV4dn2glzDjDH2u4wxV/noNZzzX+ac/xcAr+n3wpzz+zjnjHP+vZzz18b/vtnpe2QM1Dwnd0E1DbZUEXO3GGN2UWyYZQUAtPpgzO7bN4/b97QXh5roJhorC1npMk4s1RFGHKeWRKCDemr1+dSNTi7Zwg6TT8g7U/obAbUJpgGw3gr70srJ59SVK1NozEj8b6bcEHnCkmMn4wSgw0z3kRcYMrfaxHor1PRHolxO+hzR2p7nAAAgAElEQVTdItKYzOKuTKC/CffIwjo+cec+3L13rtDxie4yuy1qS/SSTECtIt5dntGl3ncn8X+39099vVO/Udu8UALpAVCstNX1jx7Blx/rne0eBmgcddpoRFwYZQ4TVWg+89BhvOuGJzeiidntiZ+xo4r/B2TUfPPpkwOPhu8EcmWWYf3pBe0Ys0UA32KMvS3+/62MsbsZY/cC+Pbwm5YNMgYmKm4uxZ3SmCn5lwDKY5Z/DWmYzcSMmZ+m91tGQEE3CKPuo0WkK7PXRTBDvFw36onlTfzJcdTZE4anXXvCqBxUssqumCk+1ltBX5E7vbiYwwhgmvhf758R1z8jm2mYJaXymF9ij1XDzHRlDoIxKyL+167Zx24+kBHO3eVP04wx5fJ5GrOQc9Ri4zsvUXWQMc46tYPO3QlNqTHrxJgl5ypLyoyowL1+/PZ9+NwjvetDh4GwMGMmIrOdOCpzx6EF3L+vfcDAMBHypBIB0FmHXRQH5lbxW599HHd0SUT0i/M2KpNz/q8A3gbgtYyxrwHYAeCnAfws5/xdG9S+FOhBT1TcXKPAXCjSeczal5ugnetF07HGbMCMWRhF0sA8fHYNv3Hdo7nF0tXvAL0vSFmC1KTETnvDzCxvoZ6nXQqOMEpnSx8FwjbMzFoz7Gtn2Iv4n3MO10Ei/jcYXdVVGEZJIMBwDDPxM68fr0vDLLl2ZOiten3H6jmK5MTTBeE9XRJAd5GogJ5vTV5fc2Wq59bTZZArM8/oUlnnTrUyuy2DRRvSxYIaMyCpKzxM+GHU0QDsxJgtrLVw/Fy947zZL/adWcWV774Zt+8+Xeh4X25eO4v/hcZMGECtIBqp2F7kVkz+PyjGjNbOYSTHbodBuzKDMMJ7b3xGZmsYNjppzK4CcD2A/wHgdwB8DMDksBvVDtTx27ky8zRm0pXJ2udoMRmzrHqZftDdrltFyBOX7IP7z+L2PWew59RK+++Qa0u5t6/uPIadRxaLXTODMTMLvXJtgUkbZqYrE2i/IwkjXkg7NGyI9BTid7U9YcRR98O+JsT+0mWQK9MU/yvvW2Elh8mY5blzaSwsG4xZP7Uynzm+hJ//xH1YUSbrIgbBwBizMG1omWj4IT76nb1YawaZZcryjDTToCDxf56bkhjlqud0Fv93qbsixmypk2FWoP7wIPHp+w7ipz92b9tjOrGDT8e62GEv+M+eENe58YkThY5PkgV3YMwgDCHScrWCtAZ4I8FjeQXBYYMpYk5Jk4sw4oMC5zxxZfYZlbnj0ALe+MHbsevkMj7z0GHc1yENyqDg5f2BMXZd/PdJAPs55/+dMfY6AJ9kjD3COX//hrTQAOUkq+UwZlmfqUXMGetM09IESeL/LDdEPwlmVcbsbKzpaJfniL4jfibXe8f1QpNw6C9+pvM1Y2G/eAZiACbaMd2Vpn4GJItKVgRfu/uPeDl8/JwLhnW9FWrtIYO7H41ZLwlmSV9CjFnSP6m9PHFlDpsx4+3ZI3r36gKopm1o99087DqxjCePLUk9C1CUMVN+H4D7uV3f/c6u0/ib25/H/GoTf/LW7wGQz5JpGxpV/K8wZvmuTHH8lgkPi+u+Nj5NDEv83210bL84udToGHih32v67xSwNGzGbKoqlsj1gtcpKv6PuJAzsDhdRiscNWOW4cociGEmnkNzAzVmTWPz3Q8+dMsenFpu4Mljor9tVLWbdozZ6zjnv8o5/0UAPwEAnPOdnPO3AXhqQ1qXAZrIqm4265XVudU8ZgxC4NhuLa63xB8vnqF0GW2iMntyZSZZ88+uFjPMZEi7sngXRRQlkV/tXJR5ZXZMjZnaOdt1VDX31SgRRhwTsQhbZcxosexnkVddmX/8padw7T37O34nivUlZJgliUoT9o36p5qmIS9dxm9c9yg+dMvuntrfMV2G396VWXWdrp8fjVuVRSqUx6xLjVXu9QtU0SCm6849ZzJdmVwz0rIZs1BlzHJdmeL4mZrXcbyEOdfMg8xjVkD8b24SholmEHVkMjrd61PHzgHIr8wyKEzFgTd5hrWJxJXZ/jkKhkqUPuI5jNkD++c3jEULOZcRmcDgMv+PgjFTmWd6D6eWGj0FtpDhT1rRZge5waDQzjC7JRb7Pwjgc+ofOOdfG26z8uGHHFXXyfWBZ31GbhIOHkfCtJ/YU+L/NnnMeum8ankkyspNBlq77wDJ4lQkSzhBXSx0F2VadG5eT71W1m6wHdtUmqhMzjERL5BqfiFZS7WPyS9xA3Ncv+MoPvjNPR2/Q0XMk3QZ9B4gf6oJZjsxZvvnVnFofq2n9mely/jYbXtl0t31HPE/HV9tIynIvSZPu3u6KclktrdbUD9u127q8yeWGnKiVw/PZ8xUVyZQ88TCnjWHAMl9T8cpUcx6mV945AgeO7wgzyevE3FwzvGJO57PZZ9aivi/3UYuiCJMxhuXjRivrSDSqltkoRM7+LTCYAxTLkG2ynrB+bY4YyaYUUqX0TIqqew7s4Jf+eTDGyaajyKuMdgO61wdpwjIkNlIxkzVatLc+tufexx/9o1nuz4XeQqaYZqUGCbaif/fDSH+/wnO+f/ekNYUQBBG8FyWa5hlGQq+svCx2K9fJF3Gtqk26TJGxpgRe1Kcws/b0TeMqEyedxwxS926MuMJZ9TgPGHMdFdm/wJRMmx6cWUyxlBxmTQMVS2TmmCWmryUk5ndD4uV28pCIoRPnstNT53EbbvFgtDIY8zidlRc1rXOUm4uWqE0TrspyURt6BVJQtX8a6pj/qEDZBhlX59DHTe6KzPOIZzPmMXnpP5pNundX3kav3jNg/J88voRx47Di/jIrXvxJ199OvPcNEf5IW/L+AQhx0S1uGHWDEK85ytPYf9c+xqceUgCp/KvpUW3Gn17frWJE0sNXL51AsBw3Zmh7KvFrkHPr5OxyDlk5n+SfKiPg9aFMyuNHlrdPSKui/+L1JMuAnrXw2DMvrrzGPacSlVx1Bgzen8Lay0pG+oGZJiRK7sMjBk458uc895G35BAtHueODFrrKsaHoqEEf/P7nhkiEzVPExW3EzxP3W03jRmXO54ySDrZJiZzEY3eiPNvaK01xT1d2LM/AxXZruJPOTlEf/XMlyZNKF3ysfWDr2ky1B3p+oGQ4r/o8TQUl2ZQcQz33uzj4gueW7N2E6iaRNXpqoxS+6XGLOdRxbx3hufKeRip3trBKHC1HT+3qDymBWJylTH/PFFEYmV517TmCzDoKB25hlG9JzJ5dluMTRdueTazuu/KvvWTmcWRLyr9/Dlx47j848cxSfvOdDx2Cy0CqQyyEvgCyTC/zdedRGA4QYAUB8p6jJNMv8XZMwcKFGZyXfonjpVbRgUzHQZlPm/36oEkjEbwjrwvq/vwmcePJz6nOasiYqjVdXoxahajec9Gr+tcGOYv5EXMe8WzSBC1XPjQuTFGLNEY8ZltmUgf3KXL9ZzMF1zMydV6crshTFTBNdS/L/SIdeQ4cqkcHPPyRYKa9dTJsDj5+p4+IAorZQ2zLIZM6rhJ3P0KIMsb3GjKgLlcGUKA4IxPTkuTX79RWUm+sWioDp5gKhCYUYNq65C1ZUJAGcy3FZ+2HtEV5aREiiMrunKrHpOzJhB/j+MON5x/RP4zEOHcWyxczg5fbfeCjO1f3kYVDZ4GYnaxjBQx7x0NWsas+TYvHGjJuLNi8pU0/+I77fXbKrfo/47VcuO4VKNg3YLvG6YdX4Pt8WpI1500VTHY7NQZFNravVUPBO7Md/4YmGYZZXMGxRozisqHaG+UkT8nzBmQlsY8aSP0bvdqMopUaRHZZLerF+JW6IxG7xB0woibcNIoHVtplaR76/hhz21gfohvf9SMGZlRNMPMVFxhG8+YzXM1JgpCx9FZQL5u9O6H6LqOvBcB5PVbMOMJr1e6F5Vh7BQOCozYVCAJASessK3/a7Sxl+45n78p2sf0kKKswwzjTEzozKVv+VNQElqjf7p8H7BOYfLgIrroBVG4JzjRz9yFz5x5z4A/RlmvSWYTSZBz2VJSSblXHQ+0uJcEtdtPb2cdm20gmIF6rNA1zFLCVH/JvaYNgKTFVczHCuuYMyuuFBk0Xn2RNq1kHfNZhBhshpr/wpMmoMyzMzSYllQx7wqhci6vqYxM9pIRmC+K9NgzNrprgwWido4U80xzIJIbtzaLfBBGElXZif2uOGHuC9OhNprnyMjvJ0Rmuc2BoCnji/hJduncckWyjM5fMYsy2uSBepbnV2ZIo+Z54jxL6UxXDfMOiUHHhTSUZnJ5/2AjPBOOfp6gR9GmsSCQNeanfCkTKThR321gfrYyDVmKhhjP8QY+xXG2K/Rv2E3LA+NQOyy8zVmbQyzeDDQonh6qYmjC+up48VOXjya6aqXOShNjdnOI4sy500n0EQzv9JCGLtm5zpqzPRdOy2U0zmTctZ3gaTTLtX9dOZ/pc9lRm9muDLzJmeaYDYiYWUnkCFUcx20gghn11o4tljHE0fPyb/3c+5uQRozAHCdRDxPZ+I8bfy+4AJh+JxZHjBjlmGkUDJizrkUPdPOVBhmRlRmxHHV9hkAwK6TnQ0zta09uzK73BB9/ckTeNNf3IFAeVbtNGbqmKeAkTyNm6YxM9Jl0G3luzLFAUUMMzOP2ZpkzLI3Z60gwgVTlbbXB8T7zgqOycKzJ5bl3NdrmZ3EMOuNMXv62BK+94qtsobs6hAjM0NlYf+b257H4x3yRhbdkHIOOI4IDmkGoTRg6n6IXSeWpQttI12ZWh4zhxizwRhmg2bMREohnsmY0To1UXERxPNYIwhlNYBeQOTERjFmHVf1uGD5VQCeAEB3xgH8yxDblYuGH2Gi4ghxYsbANj+reY7MfUb0Me0G3n/zLpxZaeJrv/0m4xqhZKKma16mhkG6xOJO8Gc37cKFU1V8+r+9vuM9UBtPxezHiy+exvNnVtHwE9eOCTV9ApDsgPMm5azrqZhfbXZwZSYd0DTgND1SzuJGH5dB/B/Gmq6KJ9yGR2JjXE0h0i5/VKdzq+cqAkqXAQjxfCA3Dsnfzcz6L9gygSeRdmVGkZiges3FlhgpunERhFwLKqCd6WTV1fKYVeNnSrvtXQU2J6pRRdGIRdIRaLUqCxqit+8+jaW6j0Nn13H8XF1LKNyJMZusuOJ4yZhls2TqacxamZFc2Iu5MoswZpW41i89s7zNWTOIMDtRwfxqq+3CGIQRpqpezN6070cqQ9ErA0FzQlt9qmaYJZ8fXVjHqeUGXvtdF8i+M1zGLLn4R2/bi6W6j+970YW5x8t0GR1rZcabxYoj0ofEN/mBm3bj+h1H8XOvuRxAdqoTCqrKWyt6ARmKBLeD3KcomkNyAQZyXkq/e2ozJaEXXpLu25CVWmmj1rPOdAtwNYBX8n5VgANCww8x4bkyzNiE+dlMzdPzmLGEMVta97GYEalR9xNR8pYJD/NGKosoSvINhQp1XXQHaRpmL79sFs+fWcXZtRauuCC7sAJNENQhKSpzssDgzHpOZ1aaaBisXydXZlYduLydoWTMSmCYcS7c11VXGOlZLGkQcVTc3g2zrsT/Ss4glflVS2PpST85ZiY8zNS8lCtTutR7nECT95RmzFRd1EojAGOCIYui5HvEmNF73lXAlak+qprnYLLiZrokTPTCmP3GP+8AAPyPH3kJAMT5ojo/s/VWgJkJD3U/SUqcx5hpGxqTMZOusBzGTNndA/nGohoQUnUdhDxhzPJkpq0wwpYJMcW3M6LIjVVxnY7jVRXB98pAFIlo1w2zpE0P7Bdu1De99GL5zIYp/jfb2MkIJEO7s/hf/JzwXDT8UD6Tp+LAhufiSjBZVRs++/BhfOLOfXjoPW/uaTOZhTBK5zEDepPqqEgYs8GuA9RPs969ZpiFPHGndtlfz9WTdZ90jMPQymWhiCvzGQCXDbshRUGsUlFX5nTNUzRmXCSYZRSiH2ZqP1RR8pbJSqqum5ocUU0+2W3tvdNLYpF9xWWzAID5NtmwzTxmxJgVGTfqc6KxN7/aykiXkXynXVqNIiWZ1EjPIkbDNXftxz/c3Tk5ay+gtAUVj6EVRjhyNsMw61Evk/XsOrYnSti5iuuk8qhF3HBlBhFcxnDJbC2Vsyphbvtrv7r4kcZMHRurzQA1z5G1/YRYONbIRVyy0ieWGh11MWp/cB2GLZNe5s633fe6NUSpD7fCqLDGbDY2asi9l5f532TMyFBSqzbkZv43XJl5TOBaK5AsdMUTxjHNAXl5+FoxYwa0X1BoU+K5rKMLThXa98qC0ELZ7loqU3V0sY63f/oRrDR83L/vLLbP1vDSS2Y2iDHT27jaQWtGhjlpWfPADcaMDLnp2FNzIq7JmBVNe3B+HaeXmwNlb8QcmTbM+s3+PyxXJvWdrJqr0jCruAgjLsd+t/1VdSPTJnWjsgwUMcwuBrCLMfZtxtjX6d+wG5YHcmXmZSY2J2zNMOO6+L8ZRFLcrKKuuDK3TlZSGdfNeov0s2jaBWKeiP146SXCMOsU0i6uI/5PHbLIAqVOLiQUnltRXZlpV01WugyaLNUJ9eanT+J3P78zdc1ui1zfuusUvrOrWKHgbkEaMxL/H8lkzPpzBXbDmBGDB0BzHyWCf66drxVGcByGS7bUUoyZn6F/6gZqKg5CEIqoTNUwW2+FqHkuHCYMEXLFeE7MmCnPr1PRbN0wczA7UcFKszNjpjFWXb4uWTsvUFKRtIvKbIaYjRd+MwGw+F35D9efXVXRi3V2Zcbi/wzGTB1Dy41AcWU6CKJIGmbmu19u+Dg4v4ZmEGHLZJy4ts2iFIQ8YZQ7MmbCMNk2Xe2bMWsr/o/v1XUYHj+yiLv3zmH/3Boe2H8WP3TVRWCMYTqWcWxEHjNCp9JMak7CdmOSQzCdE54ILqNjad2hjcq5jNyFdL+DFNRHOYxZv2WihiX+DxTGzDQeqe/UPJEug/p+Iwi7Sv+hVgqgjdVGVTAoYpi9D8C/B/BBAH+l/BsJGkGIWsyYZVnzaVema9TKTPKYtYIokzFraK7MCpYbgfZCVcNMTfxadHE0dWJUYYDO+/CBszh8Vs/kbhoAyW65c0dRn5MXu+t0w0y/hnpfgFpTM82Y3fv8HG5+6oSWg0u9R6CYX77pF3cFdwvOlYUnyDbMehfPExurY6Xh57r11HQZrsNSrJvJMgYRh+sAl8xOpDRmRYTUbdtPhpmhG/TDKBX0UvNENDSPU3g4jkj0HCgsFNB5d6waNS4T0VNFGLM8DWQRkBHRCgtqzPxAsk1Z7mI9ajD5XhBFMtt/yFXGLIAfRnjXDU9qY5sWcgo20lhB5X6X677uylQZM2N8/ePd+/Ef/+FBwZjVKtr9ZyGIIniuIww+hYloBREePnAWNz2VFPAmo+Ci6WrP2dwLpcsIk3ulx3B8sY751abUeNU8FxWXDVX8b/aRTvnM1M35+77xLN739exs86rGTHXjm9IUIZHR3y+xdoOcL6k9BPq9f8ZsOOky1NykZlUGemc1T/QdMqo4704jpjL/69KVWRLDjHN+d9a/jWhcFpp+hAnPhZuTYNZcYKeqnly8Ik65Y+JzxYk5zYlN05hNeprQFkg6xWTFlbtuVXfWCabuhMS79P13fvFJXHPX/szv0M8kuWR3jBkNciH+pwUnzQiEyjMhGpfapz6vlUaAKO7wR86u4yV/8k18+9lTukaqQGduBOHQDDOKOKp6gjE7urCOF8RZw2Ube043Ef+iPruI41c++TDe+vF7M3doaroMsRjqjJmpMSP9x6UxY6aes598ekA6cXEUcZmJ3HwfExVizESOOpcqF4Q6W9yJ7tcMs5gxW+7SldlttJh0ZwSRbGvbqMxmKKP+fOP9iN+h/K4b0cSYceU91lshnjx6Djc8dgzv/OKTyfEywWxa/K/+LsZZbKzEueSWcuaA+ZUW5lebqPuJO7YtYxaJyHDhyozQDEJ87/tuxR996Ulc98Ah/PV39spjV5shKi7D7ITXu/ifEsy26bNqZQkCaX5mlLxt0zVvuIyZsTZ00rOp7+KB/WdzozijSHhvJjxX25RkpT9StU5AYhzn5cbrBWGETFdm2TVmAFL61ERjRhrE5O9F2+GHEfadSXLrl4YxY4zdF/9cYYwtK/9WGGOdFb5DQiPOY5bHmJk76RlTY8aYpGzVEGUV9VYo8/psiXfNah4gWngmq26iMeuGMYuPW2sFcB0mByNlFa77YWoCSOUxy3FjtLsenRsQjJkZbaku+DS/RFEinswKBadBUW+FOBgzAe+/aVdKvN4JzT7zzACib2QbQpCuzLVmgJPLDbzhxduMY3plnNKLdiuIZHbyrHvnHHoeM3r+8d9VoTfBcRgumZ1AM4i0vtgs4BZq3/74nRrBJVllfGqeAxaXkAljLRVFZaoTZafJS13rXIcYM3FP9+ydwy1Pn8z+nuZqL3iDMdYVjQg923aGwVorkEaNr2y+CHkRmkFcy5faKA0zP5QLhcoeJFGZTqpNah9QGTOK5JWGmfHuSQfWCiLUKg6qntOeMQs5PMdBNXb1f/0JwZDdt+9sKhXLWjPAdM3DRMXtPV2GkuQ5t03EDnqJoUL3W6sky9Z0dbiGWYox66AxUz0YS+t+riHHIQLRahVHG2fqs6YcdGbKDOnK7JGFavhhpvvP7RCV2QxCnFzqnEBaRVIrc8CuTGPTokLdwAB6OpWiffbDt+zBR25NNiSl0Zhxzn84/jnLOd+i/JvlnG/ZkNZlQBP/t9GYEeM1XXN1jRmguDLFwzZ1Zg0/UhgzYZipIkMyoCYrbuLKDHkhtyKgJC1sikS21IGS2nZRanEzM/9TZyyi38pagNR0GUli0+TvxCaogz9L/E/fqfuh/M6xxXrXBaqbfTJmZ5YbeMV7v4XPPJQu0cFj12HVdXB6uQnOgVdfsVU7pl+NmfqE1cGbReGrNRQpwaRoJ+RPs2+7jOHfxm1WCxtLxqzPBLMmI2tGZQJiQSTGTKYgiRdzzZXZYRJWjRrPcbBFcWV++v6D+Pgd+7K/l2O0FAEtbi2lfFX7qMwQ0zVPqxaRW5LJYMzU8krqZobeufp8ZFRmFmOmujIbfpI7znMQ8YQ1N41/1VCpeS5qntOBMYskYxaEHP9030EAwA+8eFvMhhqGWTU2zHowDDjnhdzvdK/0LIEkEn1CMdZmctIZDQq9RmUCQh+2nuP6pDnJTHmhzpuXxxH6pmFGhkYvjBnnHD/50XvwyXsPaJ/nRWWq0+JnHjyMn/roPV25N2n+awQh1ltBRx32vjMrhdye7Rkz8ZP6zqpiuBU1EO/bN49XX7EVX/jNNwIoZ1RmqdAIhPifanmtNHz88IfvwGOHBWVsiiiF+D8xPFTGjHZuKcbM0JgBetHwVpBcQ2Wyii4W1LHXWgGqniPp+pbiKjSNFHPhTHbL3TFmhLmVpuykWdnrZSmKjNI0Wa7J9Vao6S8oO7i4rwKuzC40ZlnP5+GDotD0Xc/NpY6X6QA8R+oGts/WpLgb6D8qU312674yEWQ8K1XP4TmONAqlTi+jL7kuww+8eBuuvGgKn3/kiPy876hMilCUkYrJ5sAcF7U4TQ3nad2eH0Zyg9Fp8lLvzXGYEP83Er1UXhUALY9Zly4Wcge1wsSV2a6c2HorxFRVSCYSd7F6jPjpOcxgzJLnINzCClvdShap5PjYAFE0ZmHE8b6vP6tFD68Y4n8/jLCSU+t1TRmzVc+RSUzzEEYcniuM7EYQYk+cqoG0hur7Wm0GmKl5mKg4PTHcQZTkwCtSkkl1ZWYyZjV3YCWZ1ltBSleZisrsJP5X06VEPLdtUmPm6UuwOq9R6qSlPFdmDxvZs2stHFlYxyEjMp1qdxKyXJknlxpYbgRdzTVkhDf9CD/z8fvwj23qq663Avy7v74H77z+ydxjCKacRgURBNRPVGO6iGG1VPfx3OkVvPl7LsEPxJ4VuuWRM2ZlBIfo7BOeKxPMzq+KLO57T4vJRGXMPIeh5rmKYRDXyqSdaxtXJhl2FNWkRmbS+aZiw4xq4hVd3NUQ+qrnoObq9QKDkKcse9UAjKKkTl6RSNC8PGamqFmLysyoEZe4vdLnq7dCbQDsV/zzRRizhh/KvGqd8OFb9uBXPvmQ9hmVArpq+3TqeBKqV10mtUxTVQ9vvOoi/JtLRMb6XgybKOIay0U4OJ+IuzMNs0gvyeQbjFmWke/GQSu//IYX4dFDizgUX0PNCbXc8HHiXNrV8NjhhdydflK3Ne2uznJlUm0/0u1VYt1eEHKp/enkytQZM4bZmtArtQLBvOV9v58i5ufWijNmrdgYma55cBz1/aRZMkofQggiLiMsycgirGRE09HYUBmzIwvruO6BQ7h7b7LJMMX/zSCS/cXsu6pxUXUdTFTaM2Z+SBozR2MX/FDob9Xzr7UCTNdcmX+rW6gLWzsPg7xXjTET71BlmWYmKlqb+8EffvFJ/OEXdaOA2vHSS2bwhiu3oeFHbefcVBRnK1teIUiC9ozZCy/MZsykEL0Hw5gCT8z5IOLpIuaAfj/0nW68C2oOsYPzazi2mA68ItB8c3OOlEGFutamDTPxM9GYJX8vspnYeWQRnAOvv3IbGGNSmgCUQGNWRlAHFyJkpk18Zj3HqaqLquegGgtaqai2mseMxsu5dR/751blNepKBv6tGa5MikaiYyKOuBBtsZcmNWbNIOXKpFITpmWvujLVXRh93gxCLbxX/24nzQ+dO309dfLNisok1P1Q26mrLBnluMpDEE/+YdT+Gf7BF3biU/cewLHFeqpY9s5YZJu11pKmS53kp2suPvlrV+MdP/Ey7d66gVawWvl8z8kV+XtW5FrE9XQZpmFM/UkFHf+6OCLtaDzBtRT25+2ffgQ/9Bd3aAvB0rqPX7zmQfzO5x7PvAdTb6W6xWjBo9xKtbgQfBRvRJx40mrFeZgofUFH8b/KmDEmtVwrDT9mzLK/XzSP2d7TKyk3DxlFRTRm5H5KMWYZ4n/PYcQ7t1UAACAASURBVNq7D6IINVdxZSp/pOfZzBhTahHzrAiw5Yaf0s7IaxobQtV9JhgzJ3UudbESjJmYK9XP/dhFrQZJrDWFi7dWcXtizLSI9jYb2SzDTDJmymczNXdgrszj5+qpjQ31ke+840fwk6+6FIDOSDb8EDsOLaSOJ4RR9kaDMgSYjJl67HfHReLNSOzVPhizg/Ni3jANs5QrM0NjJskA5bNmnIJi55FFuYZm3Q8NnXbu125cs20ZMyVdhtpuam8nPH54Ea7D8NrvugCAztr2GoncLToaZoyxacaYE//+MsbYzzHGKsNvWhrUH2QeM9UwM1I6XDxTw4VTVVTicOswdis4jGk7AwC49p4DePNf3Y2bnzopO1LalZkYZhSeS38LokirwdcJqmFWU1yZNBECacteZivnyc5i62RFTm6///kn8H3v/0727syYFy7bokckZjJm0uBN7+6zXJn1Vqjl+FEn4E6uTHUyarcLf+TgAh4/spiK4AzCCE8dE2L7rLqmYtIRLiACRcJSX+ilQoEuAE9+p6zdQPYOi4TzAOApuaPoDGo0H4E2E1T7cMnQF4URx84jovbnYcVNQZPU40fO4ZnjS5JpU9sCJIukJjiPNyO0OSFXZsQV3Z5HGrMIM7XOyUzVNgExYxaPo5VGoGXqNlGEMWsFEd72t/fh+kePZP89VBmz7OvQ+J6qunE6kPSzod89kzELuXShRJFeWisrQk2G9tN3OM8UGq80AskEqP1YnCNb/A+I92MK9X/3czvxnq88Lf/vh7HGzHG0RY6COkzWhFyZvSxS6lzQLipWiv/dtGGmMWZtNGbPn16Rf8uSP5hYawYpYyeMRLkxxphkhFWj5os7juI//uODOLPSkNfJOq8J2izWTMZMuf5FMzVcPFPVBPdBmARJ9aIxI8bMfGZRZJRkyihiLhmzeDysNgO8/E+/hU/csQ/v+crT+GtFLH90YR1/euPTqXtvV3qtGwZW20AaORBNfeJal4zZrpMruGr7tExg7Cl9sExFzO8BMMEYuwLA7QB+HcB1w2xUHuQDj92UIU9qBJp1H3/3zS/FF37zjajEL8cPeZJg1ihjQWGx7/ziE3LHNBlPlLSbX24EOLqwjuvuPyhfNC1YYZSkGOgEtc7gui9cmZ4rRNXCzUKTt7ifJ46ew6fuPaAxZqvK9en4bz17CgBSmeGB9MT9by6dMf6eNsykxixjd6+mBCCstwzGrAvxvzog2w2cVixIr7dC7bgD82uynVkDXxWqE2jQkVHcN2OmfH3PqSRoOYv9UTVmVPeQPhc/0+0hA5L6HC1SarLOl18qEhWT3lK0K2FUf/Zv78OPfuQu7bymdlHtK8t1H4xBGk61igPHSQzHJCkpj12ZFHXYiaFNfhcaM2LMgraMWZGSTK04cCYv/UZLSZeRx9jQBmOq6sFRxP+R9r7F766pMYuSqMyI632klWGYma7MIORyHLUMlivMMFbEOfT7ULWetQzG7Njiuqw6AugaTFVITa7M3KjMHoTQ+rygt/vownoqIEkds7RR0MX/2a7MKOL49393P665SwSSfPiWPfjVTz3ctm31VroSTBAlLr6sSgPPn14F5yLHGpDdp7LmJMplONGGMZupebj8gkmcOJe8K42t6+H5k8zC1L6FhivTdZKNgrx23K9o/JyM18qvPnEcDT+UrDQA3PncGfzrQ0dSOSPbsXzqnN4pEaw6T5mMWaDYCQC0dhVhzOp+IEkXQO+DzaB9RYdBoYhhxjjn6wB+AcDfcs7/A4BXDrdZ2aDHMVFxhbYjUpkd3ZV5wWQV37VtSj7UVhjF2ZZZqr4YCcKbQSTZBtqVea6D6aqLpbqP//X1Z/G+b+zCyXig0IJCbrhuU1dwnlD1knkIdMbsa08cx0dufU5bQMlVsXWyItxeEcdF0yJJ7UGDETGvCYii6Vl/Vw+j3SwNpGpcEBYQz3LKyLfT8EXUDbm9ujLMCjJmzTghcCN2nanMIyErASSVPzFdmUAyAXWjMXtw/1n84Idu19JWqBPYccUd0kn87zrJc6UOnin+Nwwz0p2oeczI9fGYkjsplIZZ9jsIDINMXViWGwGmKq58bonGDInGLK6V2QiSvF+dtC88lzHzZR6tLKjPJC8yLDG6stugM2Y5hllLZ8xol6weTr+7jpNiTimJM+lB6d1lBTUEYVLaitpUz4gAW1xLXJkVpR9vn61pixTnutRBaMx0xmy5kTBDJJ3wXAcVh2kLvx9rB9WxIcX/ngu1yH1R6Gxh8nsUcbz14/fiugcOxX9r48pUxP+zEx7WlMz5hMX1FtZaoZQVHJxf08ZlFtZaoeYhAITWltJWUP9W2aZDMQNFFTmydHNZAQARF7IakzFT39PMhIfLt05q7lV1ruuFMTskNWb6d80Es1mMmWQf48/ofWydrMAPuZbdQNXFeYrB19aVqdz73Gp+eUKgvStTEjhub4xZw4+0PlZVXJmcd14r9p1Z7Wmjr6KQYcYY+0EA/wXAzfFnRYqfDxw0MU14TpxgNlmcTVcmTYZVxU2olvlQoe6uqbOpif62TFbw0IGzMk0BDUJKpUF5p/Jq1qkwXyrtfiuxVocGNu2GSKOgZitfNRg7P4qwfbYGIBl4KsxOYiYxlCkf2kRlzta8RGMWRNquFUiiMqlNmsaskytTY8zyB66o1JCU0aKFS32mma5MLvQT1QzGjCaNouW0AOBjt+3FyaWGpi1RN1FnFa1flpER8cRtUHFYhisz3U9o0pyIDaXlFGOWRAA+rjBmybtVrp9h4CRRmYphVvfl9QDhymSx+J/H90B/o/QSQGe6X+2PVCsTEOPQDwWjnPU+1I/yGLNOdTCLaMxoIZ2qenCdxNWclS7DjMqMuIi0BSBrZSZR1+l78uOs+9QPQ861nGuE+dWmbLeqeXnB1gnNmG74kdaeWiXNmC3V/ZSHwXMSIxuAZELVDZAw+kIh/o8Xrm4DALJyuAGCDVtpBDgbL8jk7lfnain+V+Ye2hybrBkt7Afijepyw+/I5AomvghjlhxD8+2pmIHMYswyXZkQhlAnxuwFF0zgxLm6nJt1I6O7Z885x+FYY7baDHD9o0dkeiE1IAlI5hu1z9O4oLFJpdeEYaZHcauGGb0joD1jpv7N1BCb8I2+A4hns+fUcqIxy4jKLPLMmkGo9THPzX9HJo6fq+MnP3p33+UFixhmvw/gPQC+yjl/ljH2EgB39nXVHqGK/12Haa4Cs54jDSZizPwwAjjVysy/Br1kVZS5ZaIio/4A4HTsLiQjJIgn4CJWsinqVtkI0uoA0FJZcJ5M0hHn0vhQXakXThFj1rncUM119FQRGYyZWeNvZsLT0gxUPKbvhGLGbGZC5H7SNGYdxP/qLiZvR8O5WCQarVAarUlFAvGdqutoO355LxyxKzNp7xQxohnRR51wSazRO6W4g8yEo9tiBjOLPVInQdJKmucwJ3i1z14wWUlcmUqOPpownju9knJRqlB3o5Ipyzh+ueFjsurK5yYYs8TV6ios5HozwFTVBWOdBbLqZO86TLoNiDED8plGeY48xsyILjVBkZ/tjqlrjFkSvJKVYNaNNWZ3750TiTtVxiwSjBltCLJctEHIUXES3atIsRAbZvGzuHCqgvnVplYDkDA74aWiJlVUXVdjzBp+qJWio+96LtOYuJkJT2rMxBwkNogUrUoehW6Ng6xydkBSl1BGGXOR9FaVndDhJmMGIFVrlSQdRxbW0QoirDSCtv3SDwULv94K8JkHD+HHYpd/GCWMGXkJVpsBvvXMSfzlt/ZIF+apZXG9rA1FFosvMv+nNWYNP8RlWybw62+6Eq++YiuuuGASa61QpmvqNsJQxbl1HytxwNlaM8Aff/lpvPfGZ8R9plyZ6ZJMSVSm+GxhTdzzlokMw0xJ8UEEBiDG1p5Ty3jy6LlU+9S+dDSjbJ4Kmh9dh0nG7POPHMHPf+J+OefSOFEZtSJRlU2DMVPXDQA4NL+G1WaAv7r1ObzrBj2K9/D8GiLemfHrhCIlme7hnP8c5/zD8f8PcM5/r6+r9gjqI2SYAclAltoEZScLKIZZkIj/TVcmkESeLUu6XGXMxOB/TRylcXq5gYrLZIAAuTEpdUY7pBgzcmXGjBl1OCq4aiYODRXGjDq8SDEg7v/gfDoyJuualyolicKMxcw0eNUFoBVGqLiOXIAAoN4KsNoMMFX14DmsS1dmWjex++QyXv+B23AmZifJQK37oZIPSne/bZ2qSDeQiihKhOqACB6hXRDdQxZ7Us8Jdd8+I9jJk4ZOJ+uYrIkgiLjsl17MTABGBnnDJaLuZrcqhpn6bBvSPZUwCFn6alX3Qc3OirhdaQQxYyb6OUVDU5F1SkECCDdQxU2zM1lQJ3s3pTGL+1hO0AQ9hlzDTOYCbMeY6caoiTXVMFOiMrOy/bsOw8mlBt7+6Ufw7WdPaQXqKa2ImUBab69gzGTR6FBxZcYLzKVbJrC47sv/U9+5aLoq8uAp78xkZ8yoTNp4Nnz9GXgOQ0VZmGfjjRg9z4gnRgGJ/wEUTnFD0KMyk98XFTkJQLpQvUwQQTdMk8ARFWeWE+btyMI6lut+27YSSxlx4L1fe1ZKQgRjJq6niv//n399HH9/1345fk7FAv0sr0kWiy8TzGYwZtumq/hfb3sVJiquTDJ7Ij6/auR1G5V5Og5QeNFFUyndG0VZE8ggNt3YQDLGyDOwZdKL+21yziWFMduqGmZ+iA99cw/+NDYIVTS6YszEu9w2XZVr9kojQDNIpBCULmOtFch5o+ELVjRL8iPbESRVOoB0sM3PfeI+fOw7e3Hfvnncuuu0tkaciNeETsXuO6FIVObLGGPXMsZuZYzdQf/6umqPkK7MSjKRySSxpDFTLGkgoZ+XG35cBiMt/gfE5Adkh2RfMFXFVNXF7/34SwGILPPCzSH+rk42H799H179v76dfw95rsy4tI3KgLTCKOWyiRRXB0XoBWEkPzuUwZiZLF3FdXDplpr8P61hPIORoOc6o7gygzBC1XVQUcJ41lth7M4SRnOzK1dm2rjYfXIZcytNHJxf0wqu1/1EoJvoCsX3t05WMnentBukAUYRmYCqMdPbWG+FeMMHbsM3nz6VOh8VnVejpcz3RK7lzMz/inuk4jJklXUyDQt1N6saZmrfU3fQtABnufz++YFD+Ls7hShaTShLbSMIw8yRfTRhzJJNjqoBEoaZWyCPmX5ftOCR+B/IiWbliUFL7dw/t4q/vyupFJDch86cE4pEZVLUcdVz4jxmicZMTQIM6OlOmr6QS9C4oM0aPb9mxjjwI+HqVBN6Uh+mueCyeBNFkX/0DC6crspapQSz/5sJZol5ka7MkO7D0RagmTgxd5KOJZJGH2X+V89TFKo7V130z64ajFmUZszoftSNtWrUq1AZiwNzq3FUK8+VLGRpn0SQSyQ3+dKV2Qpk/kNArEenlhtYWvczz59VZD2KvTcmYyZSl+iuagBSZ6YyZt0aZmSsmhpjINm8EhyDMVOjQWk80DtzGYMfmYxZYpipQvr1VohzdR/zGYyS+g6ygthUUBsumq7KuZDGZEsZv4DYpFIbmkGEzz18BG/9m3tztaxNP5IbD/U8hIiLeefkuQaW6r4mXSEDPctz0w2KuDJvALATwJ8CeJfyb8NBa0zNSzNmeRozyp58/Fxd5jEzJ2sgWUhp4lIt5nf8u5fhU792NV60TYirTy03MFPz5KKuTjYfvW0vVpqJVoJw487jOLa4XpgxAyBdByrCiGdGhUrD7Oxayvgz3WJVz8E7f+JlmKy4uPKiKWQVMTcZs5laJUmXEYrJQ2PMfJFgdqrqoeI4vTNm8eCnwXZssY7/6y/vwFd3Hhd/b4XSkKNFgRamrZOVzN0puQ7pWU8rblxPYSpUrDQE7Z/FQNLOUmXMzGdO/SmTJVEme9dhcnFUz2A+M9MwM8X/gL5I0kKVZXzc9NRJ/O9vPxe3G/Fx8QSsGWY+JuKSPoBwITGWBN24TI90rbjiGXeMylRdmUwkNp2qulhpJAsbacF2n0wkBKpbkCbhW54+ib/81nPy3gPjPkw3hDrG8hgzmTw2Tq2jGj4mw6iOAQ7B6pri/yzGjAy8IIzgOY7UpYURl2OOjqf0NqfjhZXOt22qqlWOABJ2JtHYOlqWfhpXcuzE3zXH8+yEp0krxLwjvjNd8+T82JcrU3mumYwZS8/VJsNEjJmZMmFupSnf/fNnVmVkntk379xzBisNP1OgH0Zc05ip4v8XxOsKAHz/d1+Ihw4s4DV/ditu330m1eZMxow0ZpX0EqxKRGj9IsOsH40Z5UN7SUYSbjPBrKp5BHRDg8YNrXF+xOHHjNlzp1bwnV2nZUAdkHicALFOrDR8LKy1Ut4Iuh81EjoPNCYvnqnJuU716DhKeqTVZiDb0PBDnInrRKvBW2Y71PXfy7AXjiysy42Smkx9wxgzAAHn/BrO+SOc88foX19X7REaY2YUIs+i5gHgijh78vHFutzlOxmM2SVtGLNXXr4FP/TSizEzQS9XRCV6hnEIAFviY547neSyWlxr4Q+ufwK//dnH04yZEpVpFoNu+GFmwkKaIGkX4EdcS0pJFvzXnzyhhdmr1/z+796G3e9/Cy7ZMqG4K9KMWcMP4bCkygEgBo1wZSbPqB4zZjM1D67LtN1Ip4SjWeJ/eg/75lbR8CNZnmatFUhDWC7GimGWqzFTxP9qRKmXky4jcf1kRVSJY9Uw9nzGLNslp2ogaXHUgi+MiUlzZU5VUnnMADHpVaWugorcpy6vQdWYmfnTVpsBJqu6+D9hzMSuWt1NetKV2X7BMF2ZgHgndT+U99MMQtzyzEm89eP3ymCbMEqE9HRfVMbMdMVSnzDdEKqYPc8dqmb1V12Z6ncSV6ajfE98l67JOXJdmXK+ijc5dJpAG8viORKbf2pZZ8y2TVdlfUsC9X9ypVc9B7WKwpg1klJuaiqMNGNW0VyZQvsWM2aa+L93V6YawbgQV2ZoKkFPnuukXJlmpnyVbVUxt9LE5RdMYvtsDU/HOQ7F+ZNrHppfw69f9yje/ZWnMxkzMqxpjpiIa8WuNRO92k+88lK84rKkdPTZtZbUrxIyNWY81pgZQVRAEjwCCMOj4jK54NM7uHCq0oNhJs7x4ovyq6MQzMz/KlNHc9NZRRdIG4pP3nsA77z+CV38X0sYs1YQYbnuywh7FfW4L83UvI5VdGjeumgmYcxU5tpVdJurzQBTFQ9VV2xQaHwtGRUVnju1goW1FpqBqTFLm0kHYi0ZAOyfS9yilEJkIxizbzDGfosx9gLG2Db619dVewRNhpQuA0jcDqbGjF7KhVMVTFQcwZgBAAMyDGA5kWUlMSTMKEzLVM1LsXaA8N8DepJRqj0X8fQCTgZgJS6zoi4CTT9KMR5RHA4/EUdbAWKgrDVDSXufW2/h5FIdv/f5nbjpyZOpa6odTU2QmVcrc7LiigXAMMxUTQqJ/8lg1RPMth9k6uROg5UGNumhaOJV19LEGBc/t0x4Wp4qgjCEkvueyWDMTG0IvQezQC6dD4Ck4x2GlBbw4tjdmWWkBIqgOKuIeVZ7TMaMdBVNY7HfFgeB0ETaLqhBTKj6fanPLuLCGNNdmSIKkVwfOmNWTGNmRmUCSZkhWqybQYTji4LlJjZFNXqoT5t6sU5smJorMG/yp69SGSz1XOZYUedsilZVhfxhDmNGC6wf6w3VSE5Kh0PHXyoZM7GwkgG/baYq+o/SPtqpk/uz5jmY8Jw4WpNribKFIRwzZkZwzOyEp0WDq9pWVfzfbZJZtW+EbRizIGa5DcJTWzCBZCNsbqDmVprYPlPD5VsnsPeMmvA5aS+N3xPn6pmRkyZjxhjDdM3DWjNEM4jwIy/bjk/+2tWaLARIR7231ZhlMWaubiDN1DypGaV3cPFMret0GWeWm5ipeXLTqCKKsjP/Uz9Xnw9tnuZjV6aW5mKlKTxGa9mMGZAYdGalmsQ74+WOX7MNF8/UsNoMtE2EYMyS/tyIXZO1itg00jM8ZzBmb//0I/i7O/cJw0wxmGn8qnaDOlfvUxgz8qJkvfNuUMQwezuE6/IBAI/F/3b0ddUekaTLUNgq0pgZ7AlNdIwxXHFBnAumjSvzknhwZUVlElRt0nRVcacqixkds1dhzJ47ldRxTLkVXSWPmRIxBohJxDyeXJnTVU8OYIqIIdr77FoLi/EO9Fy9lerk6r25ysSuM2bJc52IE/qqwuqKyzTGjNJlTMcGazeuTHWypImeFhBiypYzDCR656orE0gytxOkUD2+7ynNMCMXkt5Geqdq8XqC+Twv3TKRz5hlMAphmAiKK64j8+Bphplh3KiT5tbJClaaQjOjG/KhjAZNXJl6uz70C6/GL7/hRQDEZKvedxDx1L1NVBxUvDgqs6LXynQNxqziCAagUx4zU2MGiP4vgi3iewkiOXHTAqQaOak0H6FupEv3vHE/qiszz2ilz50MPaqaBFi0P82YeYZhpuZSJCSaWOHWluJ/RZZARsplW0VfIsOMxsa2qSo8Vxf/06JD7k9izOj6qgHT8JP8X6oGExCGmVkndy52pV44VU00Zl0mOdUZs+T5k14pcWWK55JizAyGSboyMzRm22dr2D47oVXCUPvmmqKfNecMIMlPqbqyqNKAcHfFATyOvlaQVIKx/MoEUmOWxZgZDM1kxZV9Yq0ZwGFCX5zFVr7zi09omksVcytNXDJb06QchLyoTOpaZgkvIHFldtKGqeJ/IDFqaI0iNP0wnm9093wWVPE/IAxzVWPmOkx7L7UKRSdHcuNj1iBdXG9JVlo1mKXGsJp+bhMVRytFlRhmQ2TM4lJMv8o5f7Hx7yV9XbVH0DgWGchjV6YhBJeTqnJnl18wiePnFFdmlmE2axhmGTsZ2r0AkAYIYLooRDv2KIwZuTUvnK62TZchEjrqDIh5fMiT7NvU8WiypaK3i2styfSsNgKEhmGkTsBaugblMFq8pGHmOmnGzKWdZFLORDBmOmuSVcJJRVa6DGIuTcZM/16yuAGKYZaTPDFhzJLJUI2GU0EpErIMQnWxv3imhquv3JZyGV44VYXD8qMyyaiWeZiagfauTWNW7bOyfmvd1/teoBpm2eL/V12+Ba+Lo4tXY+NObZdprExUXFRdqpXpylqZ5IpRc8NVvGRX2g7qfaqGmarzaSkueakf5clGxqztGRr/p0XfvH9V/N9RY5ZhGJipTTT9CafqIkypKZqdLoPudb0VykS24vyR/BsdP1X1MFvzpMaMxoYU/6uMWTwPqowZGRANP9IYs0Yr2Qh6xkZruuZpG4Uw4th59By2THj47m1TPbsy1QCIrKjMRPwv+oZpGJvzMgWCmcz23IowzC7ZUtP6tDoeKfp1suKm5gxAjHM1KhOIXe4tkXKEjNP/9Prvwrt+6uXyGIrWn6q4mK5ln5uSXnfSmAGCgaO5jja/ExVXjoso4vjwt/bgwNwqHj6woOUxVHFmpYHtszXNY5DcK6A+apnHLF4UNMYsEuwrbZxUdkgNurg49kJR9gDTQFtYTzNmk0QCdGDMqO+QZ2K57itVc2LDTGEeJypCK9v0Qzm+VB1cFIl0MIvxPWVFZc5MpJ/bG158EZ6P1/f1ViDH5lAZM855BOAjfV1hgBCFX8VkQwPWZMxCOWEmt/bCCyelWyQvKpMYDvI7Z7kygcQNNp2jMaOJce+pFbmA746zT5tZtIHEMKu4Io+ZuqtuBmmNmShiHhtAccejyZb0dAvrLWmsrTQCmB6bquHK7KQxm4zvlQapYMwSTcoFkxW5452uZjNmq80gN0RZL8mka8zoZ5aBlAiYRVtpAkiVG4lIqE56JoUxy0mX0QpJk5OdsJbwU6+6VLgyjR3e1smKFg2Xak/cd9RarGoL0q7M5HeKxj1X9zUDzg85LlR2kHQtFVNVT04wa61AiqwBweSZBuFExUll/idXpsuQisqkIJZ2UNtEY6jmudrk3woTxkwt00N9jsZWniszzGHF1ASzeVGZdG6XsdQiSV+RJZmMPFtC1C0+DyNhwNIzUo0C0h2tNkXuP09hKOoGY+Y6THM/0b1un62l02XEff8nX3kp3vKqyzA7UZGMWTMIdcMsSBgzz3Fk6hPPSVIBqdfceWQRr33RhXAclin+P3x2Dd965mTmMyWofUN9N/SuVcZM1QkRTMaMMZFuRc9VJYTd22dqcsOt/o2wqgQzZC2kWYzZZKyFFO6uJJjot3/spVK7KoJkBDM/XfVyM/87uRoz/Z6nqkn7lhs+ZmseJpXcdMfP1XHNXftx667TWG8FuWzNmZUmLtkykcmYRdxwZRqM2ZqmMeNYrgepJOQAtKA3CjKgOe4FW/UazYumK7NF3hknJUcxQRuKi6YTCZLUmAVhzJgphllcM7YZJNHFqvif+t2CNMz0DSeA1HOreQ5+/OXbcWKpgcNn17RgsCxdYTco4sq8lTH2iywr+dcGQ2heRGSYaRSZmazVAX3FBZM4u9bCuh/miv9FwXMmo3eyXJlAYjWrGrNmhmG21hKTQxRx6dYMoigjXYYb/0xHZTb8/KjMmZonDY2EMRP6No0xM9xVgL6YUoJMIGEkq64jjQ/SmKnFnAVjluxILpyu4mycbHCqFmvMlIHVCjn+6d6D+PlP3JeZF4yen8MS14gZMdMfY4Z4McnSmOkMjNmmLI0ZvcNffsOL8EdveQUcxlLvactkBbVKtpGiRmWS/mKlEWjPxmQZzTxmgHhGpiE1UxMJYRNNnt6u6Zqr1fwLOZeLw/u+8Sx2KVGQgNj9Z4v/ecr9VXFZLDTv5MpM2kT3VfUcLa1A0w+VHXkytsmtSv1TMmPEmLVJmDtVdXWNWZ4rkydtMxmztCuTaX+jBddxmEw6TRsh9V3VFdcUbWZEe5PUNzSGXIdJ9gEA/vgtr8Bv/ehVeOu/vSwl/l9vimCdH7zqIvzDf/1+uEq/b/qRtsGpt0L5LFTG4hX+7wAAIABJREFUbKLipgTP59ZbeO70Cr7vRRfEx6QZs+seOIR3XK8n3DRB48Ezol0TjVkSXZvlyszyZAjDLLkvcpFtm6lKfR5Bbe9q/J3pmptpzJgaM0CMB6oQYK4RtOGrxIEUU1U31qRlBxCJZOe6tg/QNWaAMAapfQfn1/Cii6Y0Fo2SsVK94izhOeccZ5bJlZkYg3QPYZTjyoz7uzo2/TDCp+47IP+vurzVIXVVbJhtn63hN374xfj5116htcnUmDWCSOqZOyX89mMJwNapZC6k77SCKN5UJe+HGDNROjDtyqR7oH6oEjOkpZ6uqiwawwu2TuBHX34JAODuvXMyHckFU9nZAbpBEcPsnRApM5qMsWXG2ApjbLnTl4qAMfYWxthzjLF9jLF3dzqecy4fmGMYZlRwN9GYJZ3sciPk2Mm4a2I4iFUzCwUTaFGf0QyzpGOqnXSlEeDMSlN2BL8NYyaiMnXGouGnNWZC/B/GhmHsyoyNmAsmK5ipeVhY8+XCvNLw5TXVQAOCqjEjw0AtrE30ciXDlUkd/6LpqhSC0nNRB5YfRlhYa2K5EeD4uTo++M3dKfcvJew1XZmE5XoWY6aLuIkxUwcFGVGqUF2LyqQJyDBwaNHI05hNV1186Bdeja2TFTDoExIgdolZQvgoZlFSjFnDTxXDVmGK/wHxjMzze46D2YmKXKjM/jNV8aQrl3I70WL31Z3HceuzeikRmtAAVWNGyV4NV6Yh/r/l6ZOZ+YpUw4wWIcpGTlAZMylTyMhjplajUO83iN0t6mPcMlERrswOGjPZZxykxOch5/jK48fwW599XGu/uC9ymwvGjEoyZTJmrYTRnpnwtISeMioznktcxrBdEZhfPFPDH73lFaK+pRLVS+edrnpari+aM2/ddRoHlAgydX7xFCN7ouKkjIXHDy+Cc+D7XnShOCaDMTu37qPuh7l1TMUzEMdPVV1NR7Rg5DGjaFXTu2EyZoCI+lM1UGoi3CzGbGndxwe/uVu63VQNlwqhEYwMxsyTjJnpVSGDx3MZaq6DqaqHqaqbYygBDAlbrMLUrFHEMucc+06v4mWXzmLCS1yZlIyVpA1ZqRpWY6nJpVt0V6bUbBpRmWbmf3VsPnzgLP72jn34me99AV7zwq25DN1rXiiM+O2zNbz3Z1+J18YSCkJK/N9K9Mx5CaIJlKRbnT+1dBkpV2bCmCXi/+T61I/JqK8ZngBAd2W+YOskLts6gSsvnsaVF03hrufm5Kbnsi0Tw2fMOOeznHOHc17lnG+J/7+l0/c6gTHmAvg7AD8NURT9lxljbYujRzwZmJ40ivQFntghtZOR3uLUUgOM6fQ4jfstk5VkATKSGKogTZCqC1E7kWoULDd8XUAbphkwzZUZRJoLKy+P2XpTFAsnS546xFTNw4XTFSyut6Qhs9wIkqKuihFIcJ2kPh5dquI5isYswkR8r6EcpGSsieuTrkk8Fy/lfvCV5IQ37jyOa+85gKePJyHsDV9Ewai6iZRh1k78HxmMmTJR0I5PzbmlUtJuniuzDWMmspKrfSi9w5ud8DJzeiWudtKYJa7MdhozdYHSi37r1/Vc4dqhycdkzCarrlbzL4i4NgmZO72Jil6SiWplkutDS5cRszPNIMRyw8f/+9nH8YVHjsCE+qxUxky9dtMv5so0k8WSoUZuRBVbJvVIQ+rj196zH1989Kg8zsxjpiKKOO57fl67ZwKPNWaIvxfFLt+sqEy619VmgNmaB8eJdWkRz2TMSD8K6BtLdVx+8Ju78X/uPwQT9H7ff9MuPHxwQbqu60o6Hs9NXJk1L82Y7YrlGK+6XEz9WeJ/GrPtGNNWIAydqucmC2kQpfKMCVbZSbsys6LlJzxNcrCmGWY6Y9b0I/z9Xftw7T0H8Kl7D8rPM2vsRhxBaDJmgnVpBmnGjMTh3v/P3nvHW3ZUZ6Jf7XDCPTf2vbezutXqoNQSEmqEspCwAiAQjDE2NhgDQzLGgI0x2OOAMR6H98bPxuPBjMdh5r3hGds4YzPGgRkT7MeYIAsMAhGkFt1SS51uOnG/P2qvqlW1a4dz7jk39f5+P/10+95z9qmzQ9Wqb33rW74UsDfiZ+2fvvYUvuc3P2W8lqoy5XfyjNSxzZiNxYzZiXMrON+U5rb1WOsGAI+clowZbYJcgRJ5mM1PVFEPffXZWhLgrsp02WXQJvwNtx9EoxqkVofecdl2/MOP3oEjOybkubOqVW2N2Uos/pd65uQ99K2zy7j/P34cj59fkYyZL4xNKrfLCKxU5lgliP38shkzeuYMxoxSmUwC8+ZnH8arb5FS+2dduh2f+OopJYPaMVkbPWMmhLjN9d+qPlXiegBfiVs8tQD8vwDuz3pDL4oUhe5KIy63u3GPNYv+ZhOjXWk1XpG9HSeqAQvM3PoyQF+cRkWL721/ImJkzq90ElVIaYEZLeJtO9C0xf9xKrNRDVTqgSbEsYqPbWMVPLXYUhPdworWApDWpGotpkpzE39WhTUzXml1UQ9lk+V2T9p5PLkotQr0/bc19K60wbRv6nt3tWcNlRbbWhfa0VDLDHtyd+2glMYsFupPOTRmXMitDGY5JZ2SyqTrxlt88GPawT2/rtVYz+DSmOlUu/xcI5XJXmczXTwQVAL4bpRIeVZ8z9Dc8HFVfKkXo3t4oSlZOn6/27v7asCd/+WEHkVQrB9nzCqBp6qLT8ULweOOKi0+52qNmZdgPejfXD9Kn0f3qm2P0WZBVyK9HPf002a6ciAf+ufj+DDTRqlg3kvKHnqRuaDYqUxAsrOe0Kkwl/h/KW73tRhrzOhcdHqRU2N2USxTAMz5K4zZhSiK8Nsfl4GGXWFoBzM0b6y0dbFR4OlUZjX0EoEZCeUpXccLCgg0D2U50rc6PVQCL9a2yveSCJvrE8nEms4/9fZ1SUwmLY2Z6lBQDVS1PYFrw5rss5Za3cS6oTRmPg/MfCw0Zeswe50gxiyM05P1iq9SYx//ypNGAEPyCvmdfCeLrz9TBj8PnZRz5+EdE3KujMdPjBlVRLqCAro202MVafsRX0feJ5l/LAX/ymCWPZt0fPKytK833e9T9VDJawAzUxH6IqExIz0zl81wfOnEeXzukTP48okFlbXhgZlpMGsWs9xyaA71ULKXLo2Z7QnH7zP6Ppxp/Pbr9uKuK3YAkJ0UVto9PBoHyDsna2viY8bd/n8CwJ8B+OlVfarEHgCPsH8/Gv8uFVGkJxnaxZtWC72EJgDQu/JOrwchYLBhe2bq2D1VlxokR+BigyZRsyrTvAjEIC00zcCs42ixVGUeUbJhsBnk8YAh9KVuZbHVNew6KN02VvEx06gYjNn5ZjtOO7H2T+yG5fooncrUOxZdKeMhiuRCG0XAjslqPHGa1TY8xUpodSJ14z8UB2aG8FIxZh6a7Z7T5NcFu3E9sZlcY0an00tjzOJzaItN7Z6RHLYgWMAsCKCUqqwCMo9rGyCnpTKzGDNaKOxiEfrbeDVgBrNMYxUvHDTB6C4XjDGz0iDSYJZ6ZTK7DLqnjCBft2SiikpX+Tw/V7Q4VQLPWOS5kFb1MYyZSh4I255k3DbDxWK2mFcgMVpcAgHocn4XY9aNImNB4X+na6s0ZvG/dSpT35dLsRdWpxep+5GeRdpY0DhsxsxwaGep3R2TNeyfHcNvf98zjDHbzxHX5XbZ/ahSmUFyc0XPGv3ei4MPfp8WCsy6cWDGtHF0r+yYqpoGs55QRS/qmXIwZhO10HD+56nM2UbFCDiana4qkCF04/Tx9Fjy93ZVZr3iswIxt8Ys8OW5bFQCvOnOQ6pykAf0vSgCDasab0oJtl2GZMw6Sqt8ePs4arF+tduLlMaMUrOuoIDsRCjApblAV+S7U5ndXoS/+pcT+PW//6r6Gx2/EkiW1b7er7zlYrzrBVcmNgScFdw7M+b0MaNMjEv/SfftUquDTmzZRC3jSM9Nr7OrMm87Mo+ZsQqeON9UATlnzLICM7sll50ep831o7FUasdkFa2ONEV3ZVyKoEgq8/nsv7sAHAVwMu99BeDKFSauhhDitUKITwshPt1sNnXzZy+5Y1tud9HtJhkzZd4Y5/X5xPamOw/jj994MwB9MdIqMgFWlVn1nelUQGquAJlqouo+QC4eac7/oS8rGbkZa7OjU7OAZrKIMdPif2LMAs2YrWjGTE9ywvhMeW6SvRorgWbMlqkqM/4s0untmKgh9CUFTzuhWujh4tkx4/xTwEkPL3m+8FLllU5XTU4rrFXGRdv0bssF3btNPqR0bfiOUbMfeiKdYFoB1ZKpF+Ghk+fxQx/8rOxZ2skOzDiTYov/yfTSpTGjakG6FjSWc8uWXUaGxoyLye0ATmvMkowZOZLTBKMCYLbA2JN6LfBx/YFtuPfKndg5VYPn2eJ/xt74QpWkU3WWKzAzNGaOexLQPecAkzHzY8b7vX/7FfzQ7302oRfjVhg8AJStiXyjKpOO2bI2RIaPmSOVyRdYrgeiaysAo2NAqK6X/tzzzY66RrRYBp7AUqubSMF6QhjPgnAE6Z14Xrj9yDxuOzJvvJ/PZ9/9zH1453MuAyAXI7rPZDARMzisPyqBnrXAug85Y6sCswy2oNWJ++wyzSoFursm62h2pDZQpqq0LRLf7NiQG5GkxoyyCrPjVXWOm51eIvDpxAUX41XfCB7Ih86o7gv91AIxmn8C38N9V+/Gsy/fjjsv24H3vOgq43sCULYq8ji+keZLVmXKVOZXHl/AbKOC2fGqGudKu6sYM2Kp+eaDoO61eCO4c6oef/e444ddlclSmb/zCcnEHtkh+4PS/CqZTw8W14Cr90zjFTddDBv8O+7bNoZHTy/js4+cwZmlFt75oQdwaqGJWujD9zx3YMYcGNpd2UtVCIHJemBUiap0eXydd0/VUAnkfcA1r1xjttyyq9GTqczJeoCfvO8K/P7rbzReS8TE8dPLqIWeulfve+//wq/+zUOJ71EERRgzG49CBmerxaMALmL/3gvgMftFURS9P4qiY1EUHQsrFTVR0oTEI11ZZRQlKnk4gZNIZda0EzLXmKVBa8w0Y2Y/BNzk0/Dz6mWL/1sOHzO+k6/EVSW0yw4s8X8jZsyeWmypYO18nMrkOwi+mPq+UCXRtDbxHctKLMik73o8ngR2TtVkWX3FVxPya269BNNjFWMxq4U+2t0e628Z71YMxqyLWqwxW+mwwIyxBDYmqoFRlRn6nnrwF42UgWYxLt85ife86KiqpAFir6qYgfmxP3oAH/rn4/jsI2cMvyW78MCuYLLliLPjdD/5iapMXgUn/y+rt2wNXSfu98bHSaCFpdONEscPfdM+gAcnZKxLKUdtppy+EamFPg5tH8f7Xn5d7GMmlMjd1piFPvmY9ZQOxZ3K1GOi82g/c5wxW1FVmXF6MX7Phz5zPOFJxgM1I70c237wlkz0unYnMp4zXtltpzK7vUgJ1fn4AX2uyf+MFhIupQDkwntuua2ZnXhO8T3h1FIGnlDm0TYoFU+WNC6PKn5uf+5FV+Elx+S0u8w0ubwlU82hMaMCHR4UhvGmi2D34XSBUpk+2xBSoLtzqoYo0kbHIRP/02bHtWmeGZOdMGju1KlM+drtE1XMKcPnbqJbQbsr29zVK4ERPHR6yQwMD9xs9o42qKEn8I7nXIbviM8zrQecISJbFfmdPCuVaZ57Eq0/fGpRNSCncT52Zhkn41ZLXGenC856ePCxs4pRpHvtv7ziGF57m9RI9aL0qsxeFGG5LbscfPB1MiChjEQl1tLZcPl9AfrcBZ7ApTsncPzMMl78nz6BP/rMcXzgn76Jk+dkYBayNDcH3WtLra5yBgBk0H7OssvwPIFa6OO3vu8YPvzmWwFozzN5Tj088tQyfuGv/hVLrU6SMXO0ZAp9D6+65QD2Wy2tKDB79PQyJmqhYk7PrXSMeawfuM8ggxDivdBMlgfgGgDZNdHF8P8BOCyEOADgOIDvAvDdeW8KVXBBjJlZEcmdtwnGjR6bP6rjGeyO9qFJA2fMXAazgNZcnV/RBqB+fLMl7TLiwMyXvSjtYgbOLlQCD6eXdBBm22XUKz62NSpYanUVU0E7ae7JZIj/hfYn06aZFmMWanbweMyYbZ+sIoxZiJdefxHa3R5+4M5D8pxa1TDtbi/hEM5pZOpNRs2WKVWwL4Mxm27oXnFUWl+JTW/57llXZcrF8nueuT9xrMCTFbEzcSrjifNNgwlIMGaRyZjxxeoH7jiEb79uLwB5H9k6ig5b9AmTcRWlLf6nNl2ApStiHR9a3Z7BzFGlElHo/H7j2rrxaqAW0rQKZCCZrpEaswjdnvzeyZZMfhyYacZM+g8mAxh+Huwx8AmNG2nKNj36WLo3pk5hyt9rdvruK3bgaRdN4+unFuVumt2f1DOSM5Tkl2gXCtFYeODP5xr6PPJKJIbMTmXONCo4t9zWAURFB2a2gz39Po3Fp+8iF6vIuSjS59Omkhb1lbY2mOW+T1KAbX5vGZiZ10h6L0bq77Z1kQsrsWieV97RM0JFWs2O3KAGTC6SxZjtnKqjFwEnzzexZ7qurB2oR+MbnnUQK+0e3vb7n5MFVQ7d7nJbtpNLMmZWVSb7u/1sNBhjxkGB2WkjlaklNuPVAO1uTxVyuMT/gBS/Xx735bzp4CzqoY+X/Zd/VE4C/Gstt7qYqof4488cx4/+4efxmjgIo3tgbryqAgpZwWzOYzyVudzqYNdkTX2vRcaYhdbzQd/HBTp3E7UAb7/nUhyaH8fb//Dz+AArEKqHPs55ZgZipd3F4+eaLJUpbV7ofpyqy97B3KmB5og7L9uhjjPLArM903V89YlF/Ke//yqevm8mcc/y6l/6jq6emYCWo5w4t4L928YMO5K0Rul5KMKYfRq6FdMnAfxoFEUvG+jTGKIo6gD4AQAfAfBFAB+MoujB7PfoG8aVRqQqI1vjxM+nnZ7gP1NAlsUgKI1ZRZtCNq3ofrwqvZ+4+H+s4mcbzMb+TFzjwyvI6LXcDZzGfn5ZpzIpuOBtSM4st40WFVXfdL7XdhmIx+KpBavTixKBme8JzDWqeO5Vu/DS6/fh0PYJ/Mz9R9V5MzQZoY9WN0qkN2zhZS3wZQl4q1gqc6oespZM8iEVQuDg/Di+yLy4XL52NqRvTk/tqk8tNA3tls1i9DIYs/2zY2pXW/GTqUxbYwZAUfGGXUY3MoIVfkvz1Fi72zPTILH4f6EpfdH4/cONdRtVXzGBWRsR22iU7DLkOYBll6E9s6h9kB3IANq0EtABp80+nIgDs5mxUDU3pvSpwVL1zFSm7gSgF+BbDs/hjXccUs8P79HY7UYJppoH3vZ98+SCGWinacx8T6jgXrVkiv8925CNlyng14yZ5/Trc3UqIdB9RBsd16JIv/vOmMGha7TMNWa+UOyH7PaQTGXaG96Krxkz/jxnacxkyjBAyAqMSGNG2h1qTRcy8T8FEa4Adfe0DOhUA+m4bREFTvddvRsvvGa3+h627rPdlb2GxypmStHpY8b+nir+twIr6l/L7x3yMQOAn7jvCvz0C65MrG0ECsxOnF1R5tKHtk/g17/n6Qg8D9957CJ82+U7jPdQ8PTNp5bQi4CvPi5tUnhlobbEoJZM+v28ibnu6KI3AfL7JwN4wJSKcJCX5HhNppjvvlKO+csndUujekWytZyJfdMHPoPbfunv1Bqy3OrExSFxirEW4twK05jFdhk2ZlmRGr+PqOCMw2DMmNzIBbo3u70IE7XAmGddBuVFkMuYAZiOouhX+C+EEG+2fzcIoij6MIAPF349dLm8K5W50nJrzHigIOAWzwJcY5a+UO2YqEEIGX2ryj3rQZeshSzhpgW+UQnQZosF7XBUKlPtRuT3GY9TdXZVnRorq5w6u9yW3RA8oRrq0sO01OrizFILga8fIgoCAXdVZjXwcHZJ68LqFR9+/FnHTy9j+0QVnifwvKt3Oc+RrclotrsJxswMzHqYGw9UKpMCIRI8T1QDpevwhDy/YyFPZepd5rX7pvEXn/8WHj+/onyCgOzFjYJTMvE8db5p3Be2gLMbmd+RH5kzaS6zVQoKOIurJhZDY9aTE0KcCTQZM52+anV6GAt9nEE7/pvU2vUieS/xY/KdXKMSFCqysAMmEv/z9mZUTRj4uv3P8TOa8XrifNMIGKICjFkrZhB2TNZURWA3SsoU7KpM7mtmB+UUmJnBVC9h7Nzt6fNt+2jZvmx8YVLPNmQgTc++ssuI/z09Jnf4lMokZifISGWmge5TYmNcgdmOyRr+7m3Pwv54oyPiVkBNbpfheSotWg0cVZntbkIHyMX/RmCWoTFbanYxFnuB0XtPL7YwWQvU2GXHE9Mug1gJ19ysfCrjYH4h1uCaWjzJ0jU7SQ1fJ9447pisFtKYEdIMZu1U5GQ9hCdMxowzVGQnEXgCLTh6ZcbH5aw+IO0oPv6OOwEAP/2nJqdB6Uba4Dx6esnw3qTPA3ShTFoT8+VWVwVMgA7MSCtoIy0wA2SQSff79FgFB+YaRkeYWryO8XXvr78gJe28SpunMslqirPlrmeGM2a3H5nHg4/JDfzZ5XbC+NxgzCxdu41JVvwmU5n6vS7/zSIowpi9wvG77xvo01YJkzFzi/9dVZn8hhOW878hVFdVmemM2Z2Xbcdfvfk27J0ZS9WYVQIvrhRijFlVMma0MNOF5+1uACms9IQMhpodW2PGaXTWkmmlrWj0K3dPqdeQLuXMUluWDzsWQZ+ZyfZYYNbuRkrbQ3l/QDJm2y03bRtGmq4eYrHVSYgrDfF/u6tKxpeaXZXOuXbfDA5tH8exi6WppRAyXVCv+KhVtBltO57E6T3nVjq4/j1/g/ve+78MC4M0UFsqmpSfWGgZ19Q2me32zB2ZUQjAnigSwnPYGjNATmSJqsxOZOzQ+Ot9T6bjO13JLNQsfQr3OeMTXJ3t5Hgq03W/p21SyGuLB0l8c0Hv+9aZZcUI2AUAfEyughTC3HgF49XASGX6Qhi2GuRhlxD/M7sMev4rgYdmrDGjsXVVKlNf7yiK1HW05xL7u/Brz9PmXPyvizWkrmi6LhmzRYfGjL5b4Li//uurrsf3P+ug8fmaMUsPzABZ0u9ZAcZyu2vYZdD9xucWwkq7m1iYwhTG7MS5Ffz7v/yisx3ZYquDRtydgua2p5bamB2v6pRvrK0NfM2OTqlUZvJepVY/jzHGzHUeSKtlj6vTi7DU7qAemqnMTo98zPT35otuwmC2og1mOXxPYDouygL0xsSek/IYMwDK6d4Gfw2gBfon4/v1m08tJQIm24fTXZUpAzHq/kIV0dSVwRWYpd2DgGTgebr9aXvleqX0dnGhmcseidjkpVY3rsrUTJatKXVtxHn3jOcc3YUHfvpuAPLetVlezphVFKHhDpdqrDvKeDUwrsXQU5lCiJcKIf4MwAEhxJ+y//4OwJMDfdoqEUEHZIox6yQ1ZonAzOeTnPlA8IeoiPjfi4WLgL55kwJsT7UJob81KlJHQLtqWvBsC4vFZlc7qNuMGRsXF+S3WVCxc6qm6O5dLDAL4lSmJ8wdGfX0A1iT+MA3KinroSn+32l5A9ngE8tUPcRiMym45eL/pXhHRsHsQrODauBhx2QNH/2h21WwWYmF8vXQRy0uhACgSqcBqJYxAHDyXDOxODvHG1eIURB3aqGpRMpCJFOZ9u6SH9pgzFxVmS6NWT2MWzLp11F61nVcQOt7Wp0ebH8g3oKHpzK5xqxRDXDWYZchP0vfa/biQ70yo0ifU85i08L52JllHIhFstxf6fHzK+iyNE5WYDY/UTWMNLuOZ9sOyChQ4BO18ouKA4l2t6c2Rs1OT4mf+THpfNsT/KlFizFzpDKFkOdJVWUahs5CaWLOWyJ13xPqu7p8rW47Mo+333uZ8fmhYsxMcXceqLWQNpjNbsm00u4aTDt9div2EDzLNKMfefAEfuNjD+N/fz3ZTFs2bQ8MHetTi03MjIXq3mnFgXLoe+o6kCWBizGbqIWYqAU6ldnqOPtBkvmxqyCn3ZFGwDxV2XMwZvUMxow+0xWsbIttjAA9z9rPNH2OqyUTYcay9LA/m0Cs1smYMaMUsuvzlA7aqjQH5OaPsi/8PdxNIDGWSkZgVvFVIQcAXLdfbrpvOTyvPjdk9wYHPS/Lsfhfny/PYMjld0l+Nj93jaqP8WqAii+LoFasrBffANBzUUlJZQJ64zBRC4xrMShjlvUUfwLAtwDMAfg/2e/PA/j8QJ+2SkRM2E83P08j0kSTSGXyRdSyy+APUVX5NaUzZhwUJNqLr2TMZGUcpS/GKj6eXNSBlvysdsKNf6nVUaL6lU7XKvlnO95Apx4Ac5dyYK6Bz3zzDPbE2ouzy21M1UPYvQ3ld0i2ZKqGpsWFZO/i/H67m+g/ZyMpbO8YAfSe6bqayDvdHk6eW8GuKSkuXWh2ZKNe9vDyc1QPZWUg7xXX6ekS+EvmxlUa+Ypdk0ZVZhqoQTtdm1MLTeydqcfBYRVfOnHeeH23h1TGTBiBmasq06Exq8mqIu6P0+72MOXr3bEdkJC+p9XtGYtFyFLWLVZsIgQMpnM8ZumApMZMNrSWv0tqzKB8zGhIvHsF/bzY6uKyXRN4+NQinoirxu771X9QlWXUUiYtlQnIHW7oe6rCs9dLXkeuKQPMlkx07TljFkWyJ18jbnPDg3tCL+KpTHNMp87bGjM9bm2zIdkEJayPNWcU8E1RKnMlmcpcUoGZdrPP1Jj5xJila8xcIIPSDkutayNhh11Gp4c5mzEL3IwZ9Qx86PEF3HRozniPTDP6OL0k1Jzw1GIbe6ZrScbM0yw/pTLTshm7p+osldlND8zaPVXJNlbxlbt/O/ZXSzBmvcjY2HN2Oqkx08ynjW2MMeuxlDcH3UsJxoyNabpejDFbVIyZlhQkGTMtiQCsym/Sk7W7iCLNtstCKZ3W5pv8wJNFKln3648993LDR+4lz7gIB+fH8cDxs/ifX36c0+3DAAAgAElEQVQCT5xvwvd1xS7HAmPM2t0e600qDONoGqeNSuCpTRGluqmik88roe+OEdJSmYAMzJ4430ykMtP68eYh9ZOiKPpGFEV/H0XRjQC+DiCMouhjkEL9dB+DEYMeEi3+76pJhFoyJRgz/m/hpmyBYoyZ67j24lvxPUxUQ5MxqwZGSybFmFmBmWTMhJpEshgzvrPiJq8kPqeU1kKzo+wybGaCHs5eT1exUSqTdu9kMEvglLALNmN2btlsHXTJfEPl9b91dgWdXoR928aU19Dj55rGxFpTKWYZsNZC3+gVxzUFnifwKy+9Fntn6lILRQazeRozlvp64rxkzKqBh5sumcOnHn7SuA6uyl8C/zVZR3DYzv9ALP5f6Rjalzaj6uVxrd21L+JUptmzL/C1f0+LVaD9yRtvxhtu12mw8Urg3CnT+QgZe2J+P90r07OCKs7WAcDB+XEEnlDGlw/HWhLen1PZZbDgkCa2+divSWnMeqZAGUj2ymyzAM2lMaPzQosqtxUgcGF2gjFbaBoMqV3hCfCqTKrINtNUU/VQmvAuNOOKS099Ft3TY0wPmFm4QqnM5exUpo1azJh1WWqdGLGqI5XZ6vQSm7pK7L0IWIFZzJCSISrHUrMTM2YC3zqzgnd+6AE8enoJ2xoVbSvS7SpxN51/0pHNT7jnnl3TNSuV6UjPq1RmDwfmGvjCz9yLp100LXWGMUO9j/kw9luVye0ybMw0QpbKlL+z7y06vclemfqa2ia4BJulOr3YwomzK0b1+3jNDOrsAjpTkiF/pmBozErTcgsJwmTcqzkLz758h+q3Csjg9qZDc2rN8oQ8fzZZAGiN2VJMwBBbR03PeRCUFkORzoy+z1RdSjq4LtIOuJWWLSMuIBZwvBbo1lxZ+pkc5EYgQojXAPgDAL8R/2ovgD8e+BNXgShKlq422z01qbe7yd5mgDmxecJuacIYM1WV2V9gZmvMuJcU3fRjFR9ttlhULY2ZFlZ2lIiaysYJfBdbs4IlLkAkepgHa7T7tL8bHVIackKNrcUYM2osS5hJ0TnoY+rPmKgFijUkRujg/Li08Wh18c3YtXrf7JhKwzx2dsV4wKss7VuvyA4BdaYx61hpvzsu3Y5rLpo2UscZjhDK7JJ2so/HgVnoe7jp0CzOrXTw4GO6t6ftledZjCyh4nsGa0XvBcyHdqIWKuNg/bqekTqy7+m0VGbgadaq2dGfvXu6bqREeOBr99aTaS35eUmNmRT/R8yQkt/DPMCan6iq54Drwrq9SN0LlF7g97YKzOK+fobBrHUedK9MrS2j39uBmcGOx+PU3SPMVCa9xyX+58+V0ZLJYsxabMGj43ieUM/qY2eXMc5E6mZvv3TDUQ6aA84s9pfKrIUePvrFk/iJP3lQfQYdq+ZoyQQkU2xpGjP6mbp8EHq9CEvtbty2zcOJcyv4wD99E+dXOphpVEzGrCfF3ZfMNbBnuo5r903j79/2LDzj4hm4sHu6rixWFpsdZzpNpzJ1n0vSl7a70vj27fdcit973Q0AUqoyw3TGjBvM2tjWqOCp+Bopxsy6rLZMR30muxem0zRm1EA9HutP/MmDuOuXP2a8xmbMuL0EkJwjueaRxkD3hdqMGcx/UPj+s3HXFTvw7hcexZu/7Yg0mI2fYx5YUpBI1ix0nv3Y7silXbVB5u8U7BKDxnWH9pynv3N+KnMyTmXWQg9H90ylvj4PRc7iGyH7Wv4jAERR9JAQYnv2W0aDCIzuZRqziVoY++L03Boza+E0xP+Gxqy/VKZizOzALC4JTthl9ByMGV10lgKiahebnjUZMy+VMXvpM/ZhvBrgnit34pc+8iU11sBRRUPns9uL1O6EvMcUY1bxcX6FBWYN966NQJODEOZk8B3H9mKyFqrJ5cxSS9l67NumW3ScOLusKpUAs1DilkNzca9GGcio9LVz0YgKpTIpzUTnutXp4YmFJiqBhxsPzgKQve6u3iv1a1KErt9vasz0z7T4t7o91DxqgaJ97Qg0oXOrBJsxSwRmnmTMZGCmz3El0DovWd3m1tjxCfTieLeqqis9zbrVApsxkxskbilBrw18oZpGe0JWmwXxdfj8o2fUMXpRhKftncb7X35MfTa/t2nM8xNVLLW66j4kHzMOOxXJm5jznpf2Z3DLCCDJmKnAzMGYbRurxIyveV7NjgHaTZx7hBFjBki9Jt+A+EZgpn+fmYanVGbMmFFaNA807m2NCi6Za2C8Gqgil1qQtMsAktqp0PeMvoMTNdkknua8h06eNzzsVjoyLTZWDRLB5rYxzZhR0VPgeUblId0rLuyequGpxRZW2t1Mo13aKKvAzPew1OqqjVjge6iHuo9kQmPGU5kZLZlskMZMNbpH8rrahW2uz8zTmM2NV3EitqqxrVcmUjRmKpVpj4cV2nBzWMA8f4Td0/VMdjcLQgi8/Ib9AMxqX25QTdKLpVbHYMzCOPVpiP9TnpnZRtXQTE/VQzyx0FS+b9LhwGbMiqUyAbneVQIPf/GDt+Lrpxbx6t/9dPGTwFCEGmrGTcYBAEKIAI7WSWuBKGL0pcqPa1d70gQkNGbsQRHCpDnt9kH8/3lQVLDDLoOE7CsdmZoMfbkL0JYUVlUmMWbNjko5ko8YPy7BZrH4TsrzBO6/Zg9qoa8eRloc7FSmou2jiFVl+ogiGA8l/+y0yYFA59sXwpggL55t4HW3H8RUXb7/D//3cXzpxDmEvsCuqbp67eklS2PG0r4/fPeleNs9l+KOy7aj04vwR585LoXyiYqxOFDv5QdmFNRzPd8jTy2h4nvYPlHDJXMNfPYRLWROOP+zY9kaM8C8P7Smh7G2vjlB6t+npzLDwJMaoV5ktXPxjJSdLYAn8ED+4HwDX/iZe/CyeGL0Yxf4SuAl3qd7ZepjErNX8eUu8RPvuBOf+6m7ccMls0q/99lHzMDM94Sx0Br9OuNAbG68ajCjLsaMXqt8zFgRQNe69jbjDOiuAqbGTAcT9uctrHQwVvVVdSQft1oYYoas1dWBmXomeGB2ZiU1MOOFGlmLHRf/eyLb6ofj09+Q9/P/9Z3X4A/ecJMMSOLPlD5Tyc+0hd6yk4L8zueW25ishQajdHqprfSBgJRp0HdLWkL4bEPRM+wQioC6bZxeaim7DBvVuOVbs93TGilPqAIQ24rJ2SuTpzJTm5gnr8HMWAXdXiR7OqZozNLE/4bGLIUxI4ZweixM3C87Y21pelWmOzDzPG0VVET8/4svvhq/8l3XOsfXD7hdxuNMI2ekMlmWJIgZNlNj5r53Dm5vYA/rKCOlNh2stHuKTbMD7kKpzPiZHo83Rgfnx9UmdRAUeYo/JoT4MQB1IcRdAH4fspH5ukCnJViaJ67koMk4izGzncNdPmauRrlZY7ENZquBp3LOpxdbTgasamnM6KIvNKX4n5yxbed/Qi1uj0OYShGFTjdCNdabD80ljAhVWXQ3UhonmtypooTvMID0yYHA9V4urRi9/5c/+mX87ie/oaxH+MRhpDKtIBYAju2fwdE9k/itj38t1qO4GTObNXGON9Yo8JTj4+d1X9YDcw188yndu9EOEMy0pj4u3U+88MFVlakqoCyhqGFrYo0/8IQyI+aLeMB0Xq0OE8Bb75820nEexiqBkd4JfIGaYyLyBHQq0zPHSedr93Rd6RupWfWDx7nprxnAAua1JcaFUplkAGv3KAUY49XTaW35GVpfSN/dVVBCgZ3dK9NPCcxW4l6Pb7v7UnzlPc8xJnFtMCu/X7ujz71KZQodmJ1aaBrMZTpjhlRwuwyeFs3DnZfJpMctTJw/P1HF777qejz/6t3OVGZSY6ZTmVT1R4ELDeMLzOyZLBzGKkFChzXP7TI6XacDfhZovlhY6ahewjaIMZPdMnSgQRpG2mDQPdaNcnzMrAV8shZCCJPhIlAbn688vqDb6KQyZubv6XiksXWBAicqaOAgF4GJFI0Z705j/t1TLGpdacysdYvdE3PjVdXlYDWgKssoilQhCWD7mEWKnCHGjM+fafP9Dz77MD70/Tepf0/GLNlyu4uJWhDrZM1zbHuNusAZM/t3g6BIYPYOAE8AeADA6yANYf/dwJ+4CkRsV2O791OFUJ7GTIjkewlVJjIvArXjSLHLAGR/NNnsVRi6FxVsWDn7pVY39hRKMmZ8XPakkHYTkOt04Am87Ib9+In7rnB+B17FRmOjqrBaxbM0ZjmMGdPn8IWHJu3Ld07ixktmcfku2V6EHmY+cfD32WlfQC58L7p2L77y+AJOnF1J7MDp/Cnxf8YcT01zeXx9fqWjHsiLto3hkaeWVKo3izHjky3dA9ygltsT6M/XO1cXkwYkU5FhXMEKmIs4r4zknSPsyX6mwQMz+X+dnhCqMtgG9crkqUybaeAI4nPLLUdanW5Cz+KqtqPADIitcBybLlpUHj/XxCt+659w8pxuRWbrC2dZ0Qp9nktj1ov0NXH1yqQuE4HvGZpC1SszrsKkYI+qMuX5EMazyq0DXBoz6R2VtanQjJm98GbhfS+7Dg++654EI3r7kXnUK+5UZvIZ0ymnZqdr2E08fd8MxqsB/uSzx9XrFWPG2tkdnG/gf7z1Ntx7dKeZyuzphbcIKDB7arGFdjdympxWAx/NtvQxq7LAgu4BlZKnOdGx0efaP/sczTQq+N1XXo8XXrsn8dlXxXqjB46fTdWYqXvEOm41kDZHWfMuBaI8IH3xdXtx6+E5XDwrjYXt9K5NLLhYdUqL2mlaezNm/7wa8OILnsq0qzIrgd482YxZWoakGviqwheIGbMVKf6vxT529vp/bP82/LvnXa78NF2gZ5qvW2TxMggyz6QQwgfwX6Mo+s9RFH1HFEUvjn9en1Qm3ELewBdKxOlKd5iBmdWI1+VjVtguQ77XdrWnVCYg241UAqld4DdPNZQl6TQWWkw7PemnEwbSzZifacP5PygWmFEVT1pVos8eAvosOjZvcs0ni7zAjM6L75mpTFrop8ZCfOC1N+Df/5urAGiWg7+24WDM7AefihDOLrcTwkyVyixol8EDUwIPzBaaHeUVZTM3/H7iawnR22eXTeE7YBZI8GuQZuVir1GVwFMl8aaPmWcyZimpXEon87FUmY6kkhKYKTahyzRmtMg5FlI6tzxV2GS97Pj3sTE/UVX2BMvtrnq2n/+03QkbjweOn8XHvvwEPse0bJoJkMfmu3kK9kmjFkX62vR6SZ+1tLHyr6HPtQzGlPjf04GZZwVmz7xkVv1M51MIvfHK8t8D9LN2dqlduCKTvoOLVVLHdQTZyWfMU5vSZlzFTPfe9okqnv+03fjwA98ytEGAXORpPtnWqODIjgkIoZneJYfJbh5oQaRAouFgrWSVtJnK9D1tUcJ/B5hN5wn0TLjS/ID0mnN3X6hifqKKB46fRaQ2ixZDZTkOEIQQGKsEmZkK+r78ufj+Zx3Ef3v1M9UaYAerylYnpTpbFizIVLSuODUZMzqGTXisBnTMTi8yUpm0edK2WFrnJmVMemdddCxT9RBRBDyxIBuok3CfoxJ4+Le3XpIZeGrxv9kFYFBkBmZRFHUBzAshVs9PDgHcx4zfvFTeT5UZ9k6LXyPB3iOP40hlFmTMhJAL2IpV1VYJPHUjn1lqI/Rlc+02EyjONSoGa2EEmp5A6IlE/y5zQbAW2pSHlhajtEmOa8zsNCsJe2uhZ9zoLqqegxZCT5hl3PYNf81F0/jJ+67AL774aQDM3cZE1cGYWdeFzvFCs5O45nYgnGc5YO+4AB0IUzN1qiC1C0z4pXCll7nJoIvBUqylxfbaxqT2mImBsCv4eAugbs/9fj7J24Je0mzawQ+gn6Um0wBVfHl/uBYqP07J80mz2Un2sqNzzX89UQ2Uvmal1VM+Zu996bX42RceNd5PBQJc8EyVVrTgzLLATDFm7NlV5rQZ4n8+Vjle/XdllwEBz9Mea5wx8z1hsGT3XLlT/UwLkmzyncwMuMA96xoOi4hB4azKdPiYkcas2ZHV8TQ3TNZCfMexvVhp9/B3//o4AN1ujpz/AXOTR9eEXueqbkwDBUOU+spPZerAgu4BOxujNIIWu11hAWhRCCFw1Z4p/Mvxs5pJTRAIJmPHUa/4mYHZmIMxo17DOiPh9jFLq8rkGxkl/qdn3krvuTZlg0K3iorwjSeXEh5ty+0u2p2etu4g5q/Tf2BGm+eT51Zk5wemdewH9x7diXfffyUOzmvdrC3P6QdF3vV1AB8XQvwpANXUKoqi/zDQJ64CEfSNYaQjhVAMiaslk2AGj2onLAS6MPUD/VZlApKZWUmkMgXCuFH46aUWtjUqCDxpbkmT//ffcQivvuUS9tkmJRz6njouWQbYOzqOdMZMa8xcoAWyw/RsJGol6rjie33tXkN2jSZqScaM41W3HFA/N6yWQfb77MmQtxhyacxaTNCfV9nWbMvXjlcDlSKk880Ds2sumk46/7NjeY7AjFsJuKoy6VidXg/VkDGFXGPWTyrT1xOu/v7md+YLIo2Zp3dmx6vOc8ZL7LneJE2oTc2qbf2cfWyuWfnFF1+Nj33pCWUkDHDGLD6udS8stc0iABqjHLP8N9/NKnaGbX5ojD1Wbek6B3yDwM8rN/OVAWmyKpOqowkH5vhErhe7ICMw5OABlO1TtRq4rqd9zrnGrNXpKfYBkEEA9bolScQSu1/pe/HF394Q9iP+p/mCGDN3Vaav2FrFwsepdvl5ZmBERTsJzZejM0IRHN0zhb//0uPK1sOes9PE/4DcpGTpt2gDU7fYc0CvAWkaM7qG9mafb2Tqtvjfki/0c63yQBuATreHhx4/j6N7pvBPX3tK/b0b267oMcQp8PZgjBmgu8/cdng+10DdhYlaiJffeHHi95MDPpNFArPH4v88ABM5rx05aPISKhiTgVgELy6ZTRrMyvcJIwUlRNyeiQdmffqYAXKSJope/c731GJ5drmNnZM11nRd3jyTtRD1SbevVOjLVOYy22Eut7uo+JTSKx6Y0QJsrYsKPJ9Pr6GFZ6HZidsSicI3OgCDHXCJ/7PeR4HRuGMRtRkz2/Geg9Iu7Y5bP2F+rod2T2qYqMtBuxupB/+ibXKBeSRmzOyUo5cSpLkCMxdjRmPj2iY5ruRr+PddbCZTmdxEWIqoe06dkqFtUkyN1jX97AuPOtui8MPQTrUSeKk75oA2TFbvO/t+4oHZ/dfswf3XSJ0OXeOlVscIiO20ms1aA8kUjfmsJxkzSqmbqczkd0pjrrX4X1ryqH8zNpHG8upbDuDqvabPEX2laugrlibvsTP88PpIZeZBCKGKQGjOsgX7CY0ZO1mycbd8PSlfFGNWCVjQoBd/rrO1v1seKBA7fnpZfb4NatxOrBdgsmGhtelXjKttX+Ew4C0C2YkEKsiwGTC6N1zauve86KrMwMzzBHZMVrFjoob3vvRaI9ty+a5JzIyFxiYA0PNWWiqT2yKNpYj/eTpxWKBze36lg0dPL+Ouy3cagRkAozgksK6X67ukga+btdDDT7/gylWNPev4/SD3SY6i6F0DHXlE4JMDtYcIfLnwtLuR7HnmuEnoQtG7KZjj6DeVCciF5PRSO/E7SitEkTwePfQr6mG3HoKxUAWaYezeTqLUe4/uxGQtVKlP124trVUHPVy2pw1B6ZviSjtP6OOfX+kYLEpRBEZglu6U7YIKzBwBnX1ds0w41S4qZdLhCD3dkoksPk4vtRVDMFYJMDdexTefdAdmpo9ZHmOWTK3ysZkVwyKugnQxZlobUw099TrZSFyeF2mX4f7ufCJVjFmoGYO0CcX0ANT3RlopeRBviGwrEJuJ0veZ+fudcYPqTz0sJ2YKcOzFy25CDLBrz851o+JjsaXF33wBo9Sj4WPmOHemjYn+PRd129fXZsDsIhz5tyRjlrfgGYzZEAMzOnY19HRgllJgA+hUJq+ApWtMTKLSmFV91Tt3G5NzyKbYrJF7H3MObQAfOS2fUZcOthpI6xVeuczXE5pfsjRmgGSP+ogZFehefuhx2RHBDrS0+D95cPJTzMKfvPEWTNXDhNTkyI4JfOYn7068nj6HM7schiYzcDNmJMAflvBffoY81pdOnEcUAVfunsx8HX0Pvo/slzED+suUFcWPP+9y/OVb+n/f8M7mGoHvcHRa01O7t1a351wkuOkpYE6WhKftncZ3HrsI1+5Lr76w4RItS41ZYPxb9dVsux8CIbQ5Z2ClDg9vn8Db773M6cdEcO0QAS2QT2umSuOSjJlkFOlhW2x1DBalKGiBoZRBWt9FF0hnltYrk8Pw73IsGgBvN5I1XrNwhCh/fp4v2lbHo2fiwCwynf8N8T9nlHypNTQYM9abkH++62eq7gOSjBn/vhXfNyYpCm7ILiNP/pFlGmmDj4Kevyt2TSbYH31sqfWzU5n2R7jK7wG523/WpfP4tb99SL6PKkHtVGYWY8bOHU3EtvM/oC0zspqY87ECFmPWNRkz/V31v/O0jjQ2rdPMfu74In5gPt2AdRCEvjC8ulJNnHuRamFGi9tkLVTXii699jEL1EbRbjFUYUxwP+kx0n0Rq831u4SpeohWt4elVldvQvhzZElFXIE9IBfwQXRIc3E7oIdOyo4IdvCoGaDBluWdU7Vc/S+H/T3te51SmXXW/1K54FuM2VBTmfGxvhhbraQ56Lv6dRKKrlf7Z8fUGjmKwOxmq1dsUWy6wIynTJRYM2Z5OnGLGlfg4qnATE+4dmDWqAb4hRdf3Rf9aFo46HFxpqjiYMxc9832yao6pkv47apIJaTtWMgug9sVcNDbOrGPmSd0n8QFxpjRuSoSXAVWMEHnosiNP+4QsfJKKA6zGjHJKAGaEclrBN2Jq1I9TweF/PMma6HS3PUyNGaJoozYJ4eghL9svGm9W7MWdKNClzEVgSdTz5XAQ7OrHdSzQO/N0jCqsfKK5vi4r7rlAH7nldc7Xx+Qx1AeY6bS9Mmxvv2ey1QaTC8Q5vvtQhmAp6L0a2kDQwHHkpHK1IwZjc+VTnM984C2y5AyCfM6urSxNtR1MDRmqS9PHI/8qoYFZTLM5jUOul/aPdl/UtplyN9N1AKI+OXEJC61OhBCMuekO7Pn2mroa/F/nwHKeFU3fncxZjx1WLUYIP791CY6jTELvcJGvhyzDTm/f+WJhcR4gGzGbBRQPmZd9+Z1m2pflAzO7Y3UMMdM4/pibD5+yXzDuf6QHMPVmzRrvucYqwR44x2HAAAnz67kvHrtkMt9CyG2RVH0VN7r1goudkEuRlCMWSVIXhTFmMX/9gQghlBJwhfvii+rfiq+h3roQwiZyiSDWUAyZmneRNQ/kHyk7LFrtqD4Q0A70vRUpvwc2fBbsisqMGt2lHiRznURbxY7kByvydRgkcCMgiLTYJZSPOb7+UOaqBizU5mZTIWnWjLxbgVcx1RjDcm7VhNzL4UxA2RAl1eV6arQpJ9VYJZSWi/HqRdyCliqgafY2bw5ij7TtVjZ4MMoMhmTf1+7Gxl9L9PF/8ljXrF7Eh95y2347//4Ddx9hTRItjdfts4TcDdnthmzlTTxfwpTycdqH5t3GqgaGyvGIhcIzKrM0DkvOOEb1Ut3DD8wC33ZQ7PlcOKna9DuRmi2u6gGvppfucaMArPFZheNijTBJW8/WxfHGbN+F/vxWoAnF1uohW6rF97j17Z7oO8LuDRm5jhuPTyPQRyj6hUfjYqPM0ttBJ5IpJ5djgOjBH0vZYTssMsAzA21ncrUbZGGqTHTqcz9sw21Qei0upgeC7F8Vl6XWw7PG6/nKKoxA4DvvfFifOnEeXz3M/cNYfTDQRFRwj8KIT4L4LcB/OV6eZgR+OQQsgBA+tF04lYeWYwZ1Hvy0gTFxsOYi7gcmwTzjUqgBPR086x0uqk3DVWDhL5n7ALsRaKfh8BF6XPw0mSdytSB2VxsykkLWBE2UbED8fdsVAJlqZCHCUcqM/ClYa+9w6xnMmYUmKUzlOr4nm7J5PFUJjf0DXx1DrpdO5Wpj+UyaczTmNnsCh+XvvbmmPk9UAk8xcDR76uBXEy5VYPre/Mq5iKpTJfGLAvUYLjT66Fe0YFZmvg/7ZiX7pzAu+7XFhn2M+AqbnEF5XT/0vdwif9lKjMeP2Ms6drxe41/Dfq7EOa9KbuNmMdzQaUyWaCdm4ZmY9k1NXgLGBfCQG4QfU8AXZfGjBb2nvIxMzVm8nV0bZZaHcWe00bRlmDUQp7K7J8xA3SWwAb37qtaqThA66XsFJ8dIL71riN9jYtjbqKKxSeXMNOoJDbnRYPxYYE+p9V1ZxWcjJnlY0bXaBR2GaeX2jg0Pw5AXq+luJ8lVbUeYD1+bfQjvakEHn7pO5622mEPFUXO5hEA7wfwcgBfEUL8nBBi8DtzleAVMjSJk66m00tPZaqJjpXBDyPKNxbv0KyapBu6EmjfHmLMXCDGrNeLUlKZ8t/9PAR5ZrD0MHZ7PZXKpPO30u6p73TJ/DhefsN+/MbLj+V+ph1IjleDRKeCNNDkau8mP/SGm/DKmy82fseDvaT+RajvAGRrdXxPoBe3ZPKFtvgwe5OajFm6XYZ57Ek7lRmny/g1TNOYTdTCRICgv58ZmNml9hXfU3YZdlWZPr7uowoUY8z4n4rs7ENfF1ZwhjPp4SSlBUWfySJsiktjRoHAEmvvQuDif1VF6WAxOHPLF1duZmz3uqQFLSvFQn/jqem8nT8/X0XbMRVFGPdMTStEoDlqpSMNP6uBb2jMEoxZq6sscW49IrU3djBZC30VtPXLHJH8wdatEYqmMulXOrAfXtBBuq0ZhyfZKPRaWbCLHOx7jVKvWalMpYsbQSpzYaWTaF1IG54907rfpeuz+wnMNiKKVGVGAP4awF8LIe4A8H8D+H4hxOcAvCOKok+OeIwGjBSQKimX3kDtrqz+con/uU0GoFm21cLVOYA+v1ENgPPNONWkGZz0wExOUqeXWsaEqwIdRyrzj994c+YElpc+1GICd6AAACAASURBVO1Horh5s8UCMnr/3ZapZ94x6UEfrwWFtGmADEaEQMJU8LAjTSOEwFjo47zDYNZmzDJTmb5ul8W912zGTAVmPXOBNRfbJGP2hcccjJlhWqlfzyfHqXqYCBD09zPvO6U/ZDta8mxKi3UmaiFOL7XViJXbfIHgASi2cFJhRbsbYbLu1mYRsvzQEq/NCOCoutnFmFH18kIsRDcYs1j/12OBN287Rcfjzx8frRb/mx57nhCK+co6Z7wIo6iP2SjTXpTKpGvucv4HtO9YJfCwa6qGRsXH7HglWZXZlA3gAeBH7r4Ur775gNEmC5CbW2JE+t04U1o0LUvAN6kuhpY+j6xC0nzMVgP6vq7g0ZaAjBp5vTIn6wECTzi90RKM2VBTmfG4uj21blAgfXT3FLaNVfCjz7mMfQ9HKnOrB2ZCiFkAL4NkzE4CeBOAPwVwDWRD8wOjHKANQxPAnJJDX6Bl+U+53ifYhDuMKL/CqnNsN2TNmHnqszIZs1j8/9RS21igVMWdZx4fkO75RfDMA9ucvzftMohJZIv+ACJX32IHpuuh4eqfhRdduwfbJ6qFd//1igzM7AXdNonMY8x4VarSmLHArBZ6KpXZszRmHPavk+J/h49ZSipzsh7AFwJCJNmQJGPmGb581cBHK+4JmMa6UABK1XJplhUcZjuz/Hsj9ON2KWySBdxMkAzMit1vWa+rBT7a3U7C+R8AXnDNbvzmP3wNtx2Zw299/GtOxoxXZeqCG86YZWvMRAZjVkj8H3jw/fzX099ff/tB3Ht0Z+brBgGlMtMYMzoPxHBVAw/Pf9pu3H5kHmOVQPvCUVVmq4OxMFDH2u4w8qwFHrPL6G9+pjkmLUtgMmZ67VDfh2sHPaGd/4e4yFNlpivdmlXcNQooxqzr7t0phMBMo2I4DCQ1ZsNn+XigxRu4A3JOfPcLn2G83vXZWz4wA/BJAP8NwAujKHqU/f7TQoj3jWZY6TA0OKzSKfS1IavLwsL2MfO84eTFKwZzYVaWEbVu+5jlMmaLbsZMpTL7fHC/+DP3pk5yKjCLGSPPZsz6bD0CMMYsfutb7zqS8HpLw9E9U6nl0S7ULeNDAk+zAHm9Mj2LMUvaZXDGrNM1g2tT/J9kzBbjprvSBd/h/J/yMzFmbh8ydt/5vnoGCJXAU70y09JnP/9vrsa7/+ILOLyDdBxkjZKlMXOPIQ2y3VUP7V5ksLeuZ6CfDhNpvmmAZF3ONztOJuDqvdP4+s8/D6fjHoC8KlP1yoy0tstzBCXmAq4/V1VlQrfIAUytYCHxf+CzZyj7+RNC4B2MPRgmJqqh0XDc5WMGsMA+TsGSdyK9j1KZy+1erka1FvrqOgxSlQmkB2a1uEE16eGAZBENQTJm/Rvd5oE0uy5Wb60ZMyX+zwhAr9g1abQZ4m3DAH1uhutjpsdRtyryXZ/jGnc/4v+NiCKB2aVpgv8oin5hyOPJhdm8XD9cgeepMmunwaxnMmZZouh+QDeMEDJI4ynSBmfMmI9Z2ufuiBmztMDMbhpdFFneNnRsEv/7nkik8PqFrY/ZP9vA/nx/xIGgerhZ55TugTTfOA5izLoRYvG/K5XpKaNU0uIRDPG/NSFQFev5lQ62NSqKMfNTgjmDMYs1Zs7KQIfGLBGYxS3K0haWq/ZO4YOvu9H4jkCexizJ5GYh8AXaDsbMFShXQ6/wve0qkSeQZUOaPxOgU8mGjxlz/g+tJuIuI1L7e/CG8TwVz5uYZy0Y3C7D3oytB37+26+C7wm85H1SrZJmSbPQlJsue96luZYYs3anl0iH2uA2FP2yMDowSw/+ZsYqOHFuJTOVCchrUaSiu1+QxsyVysxqyTQKJFKZjnvzd191vfUeM5WZV7Qz0LgMba/JmLnmh6xiv82K1MBMCPFnkO0pnWmlKIpeMLphpYM/JCELWCqBUCXzWdQmvZ1cplcL7aUmdW78mGPKdkGnMrOqMmmn95a7jlipTDMwG8XupBe3ZBIiucAPesy1eDh4utg1hiIGs7I6sReL/5mPmWOCaHbiDgHs4/ih7UvL3f+3NSqKlTS0WobezGTMfJHCmHnmNfI9kdj9U//PotehkMaM/anI8yO7c8hgtmYEZsnX9sWY5aQygewFx16UAKAdRxDdiKcy488L8p8J3YLJ1EjyTWCmnx4xZiHTmK3jzn//rGRK7IpfAp0TlcpMaXpPAau0MsqeTwwLnAGrMmcyWhdNj4U4cW4lRfxvPofa+X948y1pzLJSmWtVlWmL/4vME4F1LyjGbIhzPZ9/bA/LrMI+4xhbmDH7P9ZsFH3ACFhYr6wgLssHTN0XQTFm8b+pYGC1oBuFdsX8xuGMme1j5oLnCXz9558HAPjwA99KjJ3EycPM53PGTLdk0scfJJVZtKJsGCD9Q0L8HxBrkm8w6xFjZon/jZQu872yg528VCag2zJJBsscq9GGyZXKdIydBOiUJuM6JhrvYquTMMPNgu1N5ALfpBWzyxBKm1evZKcyL55tqMbXechKZeogOr3wwxXYcU2UDsySLGKYwpgpjRmEocuhilP7ODa0yJ4zZuu/wASOcwDo+4U0Ya65whNCpTLTrIw4XJ5ZRZGnMQOSPnbGdWXjDzxRqHCoX8wp8b+rKnOtGTP5ffvR0iXE/wO07Mv/DD0OW/zvCuxd89BancNRITUwi6LoY2s5kKIw7DKUoNYzLkQWYzbsVCbdmH4smuc3DmnMuIC22ekqDVPmcS29A6BFmsN8CLjGjMTvq9WYhSxYHTVoIk/YZVju3Xn+UTKVSeL/pI8ZsTDEmPEJ3fQxM49tB2Z2n035HjdjRiadaewSH2PgCyNNpOwyHJ+XBmoFls2YJRnrLIS+boJdZ2kq173xn7/3mLNaM+24aagzdhNID8yobyZB2WVwHzOHrjPPYFYIGOJ/3sS8OGOWz16uFXhRAoddlekMzDyhUplpVkYcRmDW5+Kq7TKyU5l8rMZ1TUllDnORP7xjHPtnx3CVo4UZrW3D9ATLAjGh7RTnfxcS4n+rX+VQxsUGQrKEap+M2TA8StcTWanMD0ZR9BIhxAOIU5ocURRdPdKRpcBoYs4YM1tzY0MHZvLfw0pl0ufKBc2sKiPPHs6YrbR7mBkrtqDZY2/HE0Xe5NYP6Kbu9pItmWjs/cLl/TQqUMoooX+JGaVmitM8hx8vHt1ehGrgYe9MHYEnsJt55RiMmd2SyfA0y2HMuknNl9HE3KLx02xdAmuxlJsTS2PWZ2AGkFVD+jXnhypqMEuo5VRl9hPIZy1edK2yUpmATHkttpbVv3mvzIRFTcoCzg/dZT5mdSuVWSQ1qZuY+4nPX0/QmJOWNPL3lMp0zRWegHLJT7My4uBV4P2m9Cjomp+opr6Ggraqem7cTGjgeak2EqvB3HgVH/uRO5x/K9K2a5hIyj3yP9eed7hv4rBg+kfmi//dPmZDG866ICuV+eb4//etxUCKwqjKZLYMadU16n2qKpNu/vyKpyKgG8bzBELPDGrIs8ewy+h0Cy1ALvE/7WyGy5jJY/355x/D2eU2hIAKBrqxaWS/KOrBNAxQYJbXkinrUnO90VjFx+7pOj77U3dbbaHk5yy3kqlR/i3tr5xkzHqGhxlgV2WaA/WE+z6lBY4L9o1KzbiKlBqzF8Vb7zqCp++fSf276fzf3wajliP+7wceu0dt0Oe0cq79bKOCR0+zwMzRK1NtMvj8woKLHquL4i2ZeK9Xz+PBTUZgJjhjtrZprSy4LEMAfR7OK8bMpTHT16hZhDFjx+h34/ysS+fxGy+/Dlfsmkx9zZQKzMwNnb0B8jyg2cxn24eJtdzQAvoZ7CcApc1Yhc078vfDGzP//rUCqUyn+H8DbGhWg6xU5rfi/39j7YaTD1fK0q5IyyqppWv+vKt2F+r7mAeaaEh8baQyY8ZMtliRv+9FxR70zMCsj16ZeaCxfOTBkwCA/bNjAOT3Wu51V6UxW4uHo57GmLEqWD4mFyjwaXV6asx25wHayauWQoauTL/OLpQhp/lzhsbMfI2RyrSG6aUYxHIjWfkdhMEikcEs9+Qqgn976yWZf+eHKpJycQl5geGkuWVXgQjUWopQJJUJaJG49KjrsV6ZLDBzMGb8Zx4YGi2ZrD6uhcT/jH2g4H0jLDC24JtAc19mKlPoVGa728udT2qrEP+Hvod7rsz2c7NTmWlu+4GXbb80CsyNVzE3XlmzisLAWlcKMWaWXYaIJTxDrcrkPmZFGLOMjMJmRRGD2RsAvBfA5QAqAHwAi1EUpW9LRgh+0QIWFOWl3+xU5huedXAo4+GNb7/vpgN4crGp/jZmiP/d6ar04yaZwal4UtkzPbb6gdNYrAlJp24EltuDGcyuJSWfypjFwWsxH7N459hNL8ygnTwtQvy8iZQgDZALTSXwVGDmSi2mpTLp365Anr4fT6XzgL0aeGh1ugk93GqRZu2RBv5cmi2ZVj+W0JcBVS30lQAd0JYLrZwUje4FGGCl3TLE/3YgFRZgzHpcY8YCe1mxXYAxMzRma5vWykKej9lCnMqsOeYKT+hz1Orki/+5DnGYlX6EWw7N4blX7VTXPq3i1Pe0wWzRriWrxctv2I8XXbtnTT4LkPe2EP0FZiFLt6vf+d5w5TUOlr1qZQiMMRX0NttMKEIZ/RqA74J0+T8G4HsBHBrloLLgssvgVU9A9oWyNUCrhWIshMCNB02zLu4gHzgYsCy4GLPnX70LngCec3TXqsdNsCcdejazypPzoJz/14IxSxH/BxZjlqcxA0zGzAYFqGRIamrM9Otc7+fu/66qTP7PRGGAEM4dtPYTkt9/plEx3mswZiMKzIrZZejXGOL/IdwbdG8mAzOzKjMtGCLLArqHyC6Dm/K69FX8e3e124a2y0j4mOnvm3Ut6LOMHrAbYIFJS1eFViqTL9YEzxOIIulj14vy2afVMGZFcHTPFH79e65T/9aBhhWYsfszr63dsFAJPGwLsnsbDxuBJ/pMZcb3KLuOz796N264ZHhGlS6DWbtnJodr3FvWx4wjiqKvCCH8KIq6AH5bCPGJEY8rFabBrDuVmXXxhl3wEmawQ9zHjO/++g3MeDup+67evarx2tjWqOADr7kBb/m9z+DkuWZC7OzyJsqD7fw/SlBPwrQ0i7LLyDjlWv/XSx0z7dQUY8Y1Zhl2GYAZmLkYM77oJys2s+0eaFzveeFRI61WjQ1mZfuo4V2I/sX/bJLlwcoQAjO6bsTUUI/MflOZdHqIMetGvCpTP99CAFFk7tqpk4P8WQdm/DV841jEYLYa+lo/uwFSmemMmfz9gvIxc6cyu1GkKl77sstYA31dWsWpmYJfm1TmesA3ArP819vifwD4hRcPtw6QzyuqKlNZ+ThSmVY2athZgvVAkcBsSQhRAfBZIcQvAvgWgEbOe0YGQ/xvpDIZW5CZhx7uBaMJ2LX27ZqSLZa2T1YHYMyyF/th4saDs5iuV+LAjD4/nTrOw1p6MOlUpr2b18FW3lg0Y5beLosWjGVHlSd/h+tSJRmzrFRmcufuTGVaO1fbSbzie4gi+f1r9eHt+A0fsz43GHktmfqFfY9O1Ss4tdBUm4lWp+fsM0ogF3ay8+Dif99iuLz4OnSiyGCGOGOmWjKJZLCe1oyew9CYbaBUZpoOS2nMWlkaM5kapsU/nzHjqczRB0RhSirTlU7bigg8T6Vsi6wz5M/XyOgms1q4dKlVS2vGwe+TauBhqdXdEBua1aBIYPZyAB6AHwDwVgAXAfj2UQ4qC3xyIBZKVqRlM2Z0oYZ9vbQDcvIzj+yYwCffeSd2TdVxbkX3iuybMVuDybkWP2hcYwYM1pLJ7lQwSoyl9Mqk60HmpkVSSO1uulBeM2ZxeiwlcE4LzE6eWwGQ7LMpx8Z+jv9EEx/3wOLIC5zpGVhqdTMNN/sFH0qR6uBU8f+QU5kAMFUPcGqhaWjMshiqGRWYyWva7lFLJn2/6Hs5/l0vMrR8XWdVpvk5BmOWcR/SOdloGjOts8vWmKXNu1EUqcU/ryVTdY0Zs8B3B538/hxkc7pZwP3aitxrz71qF7Y1Ks4G9MOCq5Jb+TbmMGYUmG2E52Y1yA3Moij6hhBiPv75XaMfUjZc1gKeZ1dlJi+KXZU5LCi7jJTj7pqSXlg8qh+0KnOUIP2PncpcjY/ZWoybmKLJmnkrhyw9CRTUmGWJ/+MJgtp+Fe2VCcjA7MsnzwOQjJlL4K9+jt9/3cXb1PHcjFm2BpAWk+UhT1Krscuo+J5KBw6TMaNrI++FRSOVmRWQz1qBWTdmzKhtFsA7AAhDA0boOew6bIZOmllrdj8NymA22GiMmblZI9D51xozd2DW62l3+VzGjG0E12JDmtaEm35fC71UxnUrIPCEMlkuslmqV3zccdn2kY7JkD8kNGbJMRodTwIfQHtDPDerQZbBrADwU5BMmQDgCSE6AN4bRdHPrNH4EnCJcAM7lZlVlTnkVCavyswCX8T6XdDWYudIDwCdXjqHg+wWlWv5Gkxotx6aw++99gYc3jFh/F7Epp6FnP/j82sbx3JUGQMFWBoz9rq0wIxXZdrXk79neqyC//6aZ+LqvdNq3G7GTLMrLlBRwHJ7uLQ+Z/eK2WWYWskwTp0MY94k5oquzeHt0lX95kNzAGQwMJaRciHGjPRPbWaXYQdGvAMDN0ntuAIz69/Scw3G8VzwWWCmKps3QFCgCxHcGrNWp5fIWhA8IVlFMsfO15hRBkKsSUDkErMD+jtv5TQmIO/NfnplrgX4vELrEgXsrgyOy2NwswdmWU/JWwDcDOAZURTNRlE0A+CZAG4WQrx1NR8qhPglIcS/CiE+L4T4IyHEdNH3ugIc23HfaTBLgdnIGLOcwIzdKI1KfgaZT/5r2XMyIf4fhDEjD6Y1eDg8T+CZKRVBoe/p9FLG1+DBQ9qYbcbM9DHjPyffO1kLcL4p+1Y6e2UahQTATQfnVEWvFP+7vxuQzphVGGM2TOZBrIIxC1jrtGHcG3Qe6dqMVQL8h5dco7z4gOxnZ5Y1uw48wewyIt26LT69PKWcx5i55gK/wGZFB2b+hkplKlbJmgvIwwpInyeEkL0yizJmdSVNWJvvrfVz7mdyrawy1guBp33mNsImANA2HoB+tu+6Ygd+/LmXO3vp8vlNdXTYIN9lUGQ9Jd8L4KVRFH2NfhFF0cMAXhb/bTX4awBH47ZOXwbwzqJv5BeBN9flv8+syhzyBVM+UjkTCV/QrtydbwFnpD7XQmMWPwBCBWbunWQRFKlAWwsULaDg907amANPMiakMTOuCf/R8f7Jeogokq1rur1epvjfvtRpqcy0nT5BBWbt9U1lGvY2frHqxKLQGrN4cVWN3fMDbQCYZD1rA1+b1HLmVBvNsgo+bjAbFQzMWEo0DbxCsEjqc62gqjIdY7F7trreG3Hxf0Hn/7XqF2n3fiRcKIyZ3e1go4CuPwVaM40KXnPbJc75lbIjgM4gbBT2b1BkXYowiqJT9i+jKHoCQH4X7gxEUfQ/oigi46FPAdhb9L2BQ0uW1Jg5ArMRBQmVASL0o44GtjZcBrOjBJUl0/1cyaCO81DE5XwtYOj0CjAVQPqYhRCohb5mzPh7chgz3pap03U3MadD2BPPTKOSqLgE8hdEzmAM18dM/1xk8bQNoYum/ouAAjGV5mDHptOYKbaP/3bbkXmEnodvPrmETz38pGEwa6Yy5QLAz6erJZTrVitiunz7kXm8+dmHcXB+XBcdbIAFJk2HBfDWYO55whMwGLO8XpkUCK0ZY0ZVmda4uN5vKyNImcfWG74nUAu9wve/vWnaynYZrQH/1i9eBeD3ir7YYMy463lOVaZKoQz55qPP7WcCvWpPfmDGfZNsd/5RgCh7LXA2dyD9IFS7/SENbkDweyKzFQ5nzDLGTBU/9vH4kdM0ZoAMzLq9yHlOyYrBfvt7XngUjrVf3ftpCyJ/Bkbh/O+JYve8ucHQDvjDeAy1114yHRV4IrPKlvAv77oH1cDD9e/5KP7qwRP4qwdPYKIaqPFxY1hPiERw8vyrd+NX/+YhzIxVcCKuvHV9ZBEx//RYBW+964jxuo2wwBB75wqW7Gtgg3plEmNWzWPMSGO2RpOHlgRYLLaVJt+qcBUebQQEvuiLkAh9aahN8+FG2NCsBlnf/GlCiHOO/84DuCrvwEKIjwoh/sXx3/3sNT8OoAPg/8k4zmuFEJ8WQnwasFOZerIL/OTvjS86IrsMu5lrEcyNV3NfI4TufbgWk3NdpTLlv4ehMVsLpi8LOhjPfl3Ryaka+KqCyUg/sq+ZF5jJqkyHSDqlOGV6rKLax3DkpZrHhmxNQaBDFb22ZipT94wdxiKguh842MOigc14NZDj4rox5mOmAiohBfz2+d43O4Yv/exzcGj7uPrdoKlM87uNZiM5COjUuBizCWai7QJtLtv9MmZrtLCmmefSP7e+xmw0zPpqEfpeX0FxYBEJGynIHARZTcxXdUdGUfRtWX8XQrwCwH0Anh1FDqGGPs77AbwfAKq7Dkf2RA+YjJksyU9elEAtfMNFOCImjo7d6q7N5Ew+Zi3LoXs1GrP1XlRosRjLKbYoOjnVQg9Lyvlf/94Iphxvn4i1TAvNdqortc+YqCLI8vUBrF6NQ4yP6ZoWTTXZti9ZnTL6RSUwGygbcgbPwwrS7U9s8GvSZVWZOqUor1Ha8+CyTPmfP3IHHj61AMAM8IpgI9ll+CkCeUCmgR8+tehM6cr3xuL/ghoz1Vx8jVKZYcp304UlWzuVadpPrf+9RvA90VdQHFiatI30XQZBoZZMw4YQ4l4APwrg9iiKlgq/D6YGh2uZ8hgEj712mOjnRnjfy64zKsbyEAYeMOSqujQo76fY00kzZoNrzDZKKpM6MKTB6FWZw5gtqMBMv8lclJPvo0WmE1dluu6VfquGg5zAmdtEjEL8X/SetMX/w9QfhrFDvqtNjK4MLnYsHgj0enqe4c7/QohUg1Q+L9GP+2bHsC9+3vv93sEasuV5oMIX131079Gd+J1PfB0Pn1p0vteLqzIVY5YzKUgtp7dm4v+sJubA1k9lGu2MNhDLFHqir3Ov1/9YkrMBnpvVYF0CM8jG6FUAfx1PaJ+Kouj1/R6E+5iltQ0hjI4xKx6Y3Xt0Z1/HDjxpyLkWFDMFZrp1SkwND5LKFMNbfFcDmnR25gRmWb0qOWqhh8fPOxizFOsM+3fdXuSsypSviY9V8A4dq/iYrAXO8nEAym5DjnWYgZn8fxHXf/k6/dlc/D8MNjX05QLOWxkRGpUAZ5bahRcbHghIo2H5M09B0n8u8F+7XtKvZmwtLWfyIKUi7uv9jNgIOQ1CCHR72ui5CANfC/01tMtwb+gvFLuMvK4l6wXfF0Zv3dzXW8UaZWA2AKIoOjTI++wUpdKreEIFEnmM2bAjs1Ea2lV8sWY7ZnoImpYR5CCBmRcvYOu92y/KmBWpygRMjVlar0y3h5UOzPIYs6KnrBb6+OQ7n526cIzxwGyoGrP+UpmcWQyZFnQYY5LaMO2qz5/92fEKjp9ZLhzY0H1PsDVhnhBGKtaGucAlX9NvlWXQZyA3SuydqeOilA2A7wn8ziufkVmVGbEm5kXmk1rgY630qeni/3ih3+KBmVn4tP73GiH0vL7SyPZ6td4ymtVivRizgWCf6kAxZh7SjALVa0eke1KM2Sg0Zqw1y6jB29gA8nul6fWK4GdfeDR3N71WoLZYaSjiYwZIYWnL0Vcub9cZsMAsVWNGC1Ef55vryGzwgG0UdhlFF067ipreN4x19/5rduOSuYZqLM+ffSqYKBrYUGcGgiuV6YmMjZ/BmDkY0QE1ZhthgXn1LQfwypsPpP79WZemt+ixNWZFmNZa6KUGwMNGGgPMWzJtZWzUqkzfE0Z7rjzYzOdGCjIHweYKzKxzrdOI+YabdNMN+3Ip5/8R3Aih763Zw6IZM7nI3XPlzsx2Nnl46fX7hjKu1eD0knR1GSZj5nqPS/jNQcfsRVHsY+awy/Do/ZlDLQwSzy63h6tRtJvc58Hu1DFM8f8Nl8zihktm8R//7iuJMc02qsZ480D9Hgm2WN8TcNplaLgZVEK/DFjgCdxx6Tyu2Ve4KcrIIITAoHGSdP4HWvG8UjyVuTYBkRACs40Kto2blc+eCsy2OGPG1s2NkDYn/MCdhzDj8G9Mg20ftBGY5tVgUwVmNrRdhpdbpaYang850KmMkDELMjQtw4bNmF1/YBuuP7AxGK9Bcep8E0ABjVlBASzfPfPXmanM5Pvotd0ecqsyh9nLtVGVgdlwGTNKZRZlzDz2s9aCDvN5cemEZuOFdtDnh95Gwyd9Wdr8kseY9Sv+F0Lgt195ffEBb1B4ArH4n6q9879/NfTXdGH98x+8JREE0OdvdY0ZrYv7thUvSlsL3H/Nnr5ebxsCbwSmeTXYVIGZnVbjdhl5VWo0nw77einWbgTUeyXw1mznWLPE/1sBpAfbPd1HKjPjdPPds8mYZeuLaHHvRrHGzHGv6JRZ5lD7QqMa4NRCa8gaM/n/ogtnWq/MYTaodrVKolSmrR0rCjv1SAaz6anM7HT2RjKMXUtQVWbRXpkA8NyjO9ds3gPcUgddlbm1U5l0P+7fYIFZv0j4mG3y52xzBWbWv3mbE1oA0lINtDMY9uVS1Voj8TFbQ43ZKtKWGx15jFmRJuaAWeloOP8bbInj+PELehlVmf3aZRQB+beNwi6jaFVmaq/MIY7JyZjFgdmZpcGalCTF/8CemTrmJ9zm0IbJsOO7baQWS2sJXwj0enrDV8QG43W3Hxz1sHKhNWZbd14E9PO8rw8bp40Iuq9UBmuTP2ebKzCzzjXlk0NWhp+eyqRjjCKAGk3KMRhRwOfCVqbsJzJE8kBx8f9kTR8nrcec6/4qVJWpOlMM73rXR7B7pHW1X4NZ2WJMM9vDvK99h8EspTLPLLWd78mDZwVmvhB438uuS93YGaxp1vE2eYqlXwih/U/8FAAAFrpJREFUe2WGvtg0ganSmA3g47iZQBuXi2cb6zyS1UEzZlvDx2xT87RP3zeNd99/JY5dPKMb7aamMmPGbATXqzIiZquyDlWZWwlvuvMQrrloOjfY4YtF1vkmB3/AbZeR9lYu/u/2Iufi7I2AMSMWdJjBwKAGs7oRNjFHQxuSkzHbFov/OymO9HlQqUzGdPleemDBf+vStxRpYr4VoQxmO71c1/+NBMWYbeFMAgA8enoZwOZnzGzfuc0uGdg8TwocPma+h5ffeLFK+QmRwZjFbx2muJpQCfyRpTLXymhxK6Yyf/juS/HHb7w593Vp7JeN8ZrbtJWCjLT3avG/ZMxc+hltgDy8610bQUPffu0y7JY3wQiKcFz9Dmcd/UWz8JG33IY33antFemx003bc4J7w2TYNcatkWLpF54HWZXZ7eX2ydxIUE3MN9GYB8GJcysANr/GLPQ9eAK4+8od+LkXXZVqvL1ZsLlSmVl/E7LpNxnN2qB0xyjmxbffcykO7RjPf2GfWMuqzEGMZLcKivaLm0gJzCiYSg3MKJVJjJnjVOsAoPi48zCKhtB9G8z65utHwRwd2j6O3VM1bJ/U+q/Z8f4Cs0t3TuDkOV2FTMFsxfdw/cXbcOXuycz3G18nQ2e4iUijoYC3ZNpMjBldr62uMSPsndncgRlVfE/WQnz3M9ffqmm12FyBWc5cHvrpPkNawzPsUQEvecZFwz8ogJsPza3ZAzMK7d1mgcGYDZDKpIU47RSqlkzd9FTmKMT/o2hP0q/43/bvCkfAmD193ww+8c5nG7/La1zvAv9OKlD2BD74+htz32syZunX1+Vht5XhxT5mzU6v8D2zEUAbiK2YSeC47+pd+PPPf6tQtexGxloWyq0FNldglpPmCXwvdVemUkWbKAB5xU0Xr/cQLggUdb+eyBH/p72Vjt+O9U6uxZk7zA8LJIQd5jF1KrPYMe0U5kbWWnFrj77Hx17uOt9zMYPXb4p1s8MTshq51eltKlZe2WVscfH/r3330/Gr3zWYDnMjIVjD9oVrgc0VmOWc9+0TVeyYdFsjjEJcvRVx9d6p9R7CmsNsYp7+uomUxuBa/O++ueil7S61c0q+ZhRSQvJg6kXDm3j7ZcxUIKfapw0/ZZuGPdN1HNpeXGJgMmb9fVaexuzwjgl88p135rYH22rgqczNxJjpVObmGfOg2CyVslnIKszZjNhUgVke/uD1NymDORujEFdvNfzLu+5Zsx51GwlpfS9tGKlMx3vS3iuE1ArqPpuulkzDZ8xqVjeHYUBYgVb+64UhMaDCh7WYRD/+jjv7ej3/Tv1eB/510uaYCy0oA+R1li2ZepsqXaYNZrc2Y7ZVEHpeyZitF/LmyqmxMPVvo3BW32oYz/H72qownf8Liv8dTu9Z96cvRCZjlpcOHQSUhlmJm3wPA9ouo/gi63s6zaBSmRuQuq44NGZFYdinbJ74Y+TwBBDFLZk206ZvvBrAE+YzX2Lj4tYjc1uK3dxUd91kLT3wykNQpjJLpMCLrVaiKDsw403d+0llys9AJmOmWhX1M/Ac0EQ1isCsn0U29HRrsXAD20ZwG5N+x2d2f9h432294AmBbqwx20yM2Quu2Y2D28cx3Ucj7RLrh/uu3o37rt693sMYGjbPkwLd/24QKEaiTGWWcMDPSUcCZuGIq1dm1lruC6H6BbpiGl4FOCxQGmalPbxUpq0ZKwLfTzJmGzF24cFmv9chz/n/QgXvlVnZREL6Wujjuv0z6z2MEhcoNlVgthqUjFmJLGg7g2I3iCuVmc2YMY2ZI5ep7DIKfXoxjIIxEwOkMnnz8uv2z+DZl23fkJ5WqxP/85/LSYbgeQIRacw2USqzRIn1xKZKZa4G2ieqnBxKJBF4Ak0UX1SNptUF9GG+xzRmLp+rEfTKVIzZEMX//dpl0GsphXnr4Xncenh+aOMZJnhg1q8GznME6iViuwwymN1EqcwSJdYTF0xg5o2AkSixddAvY8YZIy3+T3+vLzRj5gpqRmHncudl23Fs/wze+m2Hh3ZMJf7vg/EKfLFmrcVWg1WlMtnPJWOm4QmBbhQh2mR2GSVKrCcumMBsLf2TSmw+UKBRdO0wGTPz/+7XC7S7kfrZRhGNW7+YqIX4gzfcNLTjAQOK/32vr0BuveBy/i8KUTJmTggB9HpANyoDsxIliuKCeVK8EaSKSmwd9OsjZqa68t+bx5iNQmM2CpAVRL92GeEm2BEZqcw+Z8a8lkwXKnwhEEUROr1oS/lMlSgxSlwwgdlGrgYrsf4I+hX/e0mGJDMw8wSascbMxZhtls4UOpVZfKB7puvYPb3xzVX92DYFWJ3BbBl/aFCvzF4UbUiLlBIlNiIumFRmyZiVyILSmOXcH5fMN/DwE4vGfVRY/N9JF/9vll6utcDDJfMNHO6j1dFvvuLYhmcCCaHvodXpDZDK5D9vlm87enge0C0ZsxIl+sIFE5gFmyRVVGJ9oFKZOYvHH7z+Jnz1iQXjd/SOPMZM+Zi5GDOxOe7PwPfwtz/8rL7es5m0RaEn0EL/BrOj6NywFSDiVGa3GzmNlUuUKJHEBROYjaIXYYmtg6JVmdsaFWxrbDN+p3tlpr/PE7yJuUtjZh6rxPogDDyg1e07wNImw+X14/DjVGanF22KytwSJTYCLpgtjL9JNDwl1gfBKgL3QnYZXkHxf3l/riuoqKF/HzPz/yUkyMes2ys1ZiVKFMWFF5it8zhKbEz4Q+jhmLWWe6yJuVP8XzIuGwLkTj9wKrOcYQyIuFdmp9crNWYlShTEBReYlQtfCReCguJ/F4oEVb4n0CwZsw2PMHan71fAr1nTYY9oc4OamPeijdm4vkSJjYgLJzBTM+f6jqPExoQW//f/XlEgjcVbMrkCuLJqeGOgX9sUQqkxc8P3gE5srFwyZiVKFMMFE5htG69geizEvm1j6z2UEhsQgy7IQDHGTKYy4wXKIYIuq4Y3BqiCtNSYDQee4NXIF8xyU6LEqnDBVGVO1kJ89ifvXu9hlNigKOpj5kJR8X+3F7dkcjUxL1OZGwIUmPV7HUrG0w1+PkrGrESJYii3MCVKQLNY/TavBoqxJX7OAuWVGsgNgXBA8T+9urx8JvhpLDVmJUoUQxmYlSgBHRANwpjRspxZlcmeNKeP2SYxmN3q0M3s+0xlloG1E/w8loFZiRLFUAZmJUpgdRqzIv0VedNvp/h/k7Rk2uqoxIFZv7dBkQKQCxH8fi4DsxIliqEMzEqUgBYmD5bKzA+q+HFd4n/FmJVr17pCpbT7Fv+XgbUL/HEqNWYlShRDGZiVKIHV+ZjRO7I1Zvpnt/g//W8l1g6hYswG05iVsYcJr2TMSpToG2VgVqIEAF+J//t/b1GDWYLbYDauBuz/40sMEYOK/0vGzA0/hykuUaJEEusamAkh3iaEiIQQc+s5jhIlVsWYFdAX5TEHxJiV6/r6QjFmfRvMxv8f9oA2Ofj9XPqYlShRDOv2pAghLgJwF4BvrtcYSpQg+KsQ/xPyfMxcPxPKXpkbA+GA4v/y+rnBz0epMStRohjWcwvzywDeDiBaxzGUKAFALxoDif8LuPZ7OYGZ+l25dq0rVCpzwF6ZZexhovQxK1Gif6xLYCaEeAGA41EUfW49Pr9ECRuUZlmd+D+DMctNZZaMy0bAoKnMUmPmRsmYlSjRP0bWkkkI8VEAOx1/+nEAPwagUH8kIcRrAbwWAPbt2ze08ZUowUEar1X1yszY5hipzKwm5n1/eolhgvzm+rfLkP8v4zITZVVmiRL9Y2SBWRRF3+b6vRDiKgAHAHwu3l3uBfDPQojroyg64TjO+wG8HwCOHTtWpj1LjASDLshAMYNZY4Fy+ZiVjNmGQBgMmsosr58Lpo9ZKf4vUaII1ryJeRRFDwDYTv8WQnwdwLEoik6t9VhKlCCsRvxfrIk5+7lsYr5hESqj4f7ep8X/wx7R5kaetrJEiRJJlFuYEiXAxP8DrB0C+e/lVgFlr8yNi4ENZgsE5xciDI1Z6WNWokQhrDljZiOKoovXewwlSgS+gO+JgRbWIqlMgzHLEP+XC/v6YrwWIPRF30FEqTFzgz8TZZq3RIliWPfArESJjYAXX3cR9s82BnpvEeG+UZWZ2cR8oCGUGBJecmwvrt03jWrg9/W+UmPmRtkrs0SJ/lEGZiVKADgw18CBucECM1puijQxF8JtxeCXC/uGwEQtxNP3zfT9vlJj5kZZlVmiRP8oNWYlSqwSRRZlCrzSqv3KlkybGyo4L1WCBvgmpNSYlShRDGVgVqLEalFIY5Zd9VkyLpsbXhlYO1GmMkuU6B9lYFaixCqhxP8ZT5OXE5hpNqFcvDYjyl6ZbpipzHK5KVGiCMonpUSJVaJIOx6VykwJzPZta2BmLMTu6drwB1hi5FDi/3JGNSBKxqxEib5Riv9LlFglivTKzGPMDm0fx2d+slCXshIbEKXGzA2/NJgtUaJvlPu7EiVWiX7sMkrWYGui1Ai6UTYxL1Gif5SBWYkSq4Q2mE1/DVVdlhqkrQltMFteXw7+TJSMWYkSxVAGZiVKrBLFnP/lo1ayBlsTQukM13kgGwzCYMzK5aZEiSIon5QSJVYJ0hUVaWLuMpctsflRJDi/EGF0vCh9zEqUKIQyMCtRYpUoksr0cqoyS2xulBozNzhJVrLFJUoUQxmYlSixShTxsMozmC2xuVFqzNzg56NkE0uUKIYyMCtRYpVQdhkZT5MKzMrFaUuiSGXuhYiyKrNEif5RBmYlSqwSogBbUqYytzZKjZkbPiuKKPWVJUoUQxmYlSixSogCbEmZytzaKJ3/3aDbvWTLSpQojnIaKVFiCBAiR2NWGsxuaSiNWZnMNCBKprhEib5RBmYlSgwBnhDZVZmeMP5fYmvBK33MnNCMWbnUlChRFOXTUqLEECBQzMesZMy2JkqNmRtlCr9Eif5RBmYlSgwBkjHLF/+XC/fWBKUwy/jDhChT+CVK9I0yMCtRYhgQ2YsypXKC0v18S6L0MXODzkvJmJUoURxlYFaixBDgiWx9UdnEfGtDaQjLy2vAKxmzEiX6RrDeAyhRYivgzc8+ghsPzqb+vfQx29ooGTM3lMbs/2/v7kMlq+s4jr8/966ukuHD+lC4ruZTbJRZrLVhgZqUkaR/GAhKEsaCVBgk0cMfURFUf6REEEhJFvYgphb91Wb28E8rmpYrFllYieIqPlQEK+a3P+bM3Nl1tBln7pwz4/sFl5n5zdl7v+z33nO+8z2/8zt2iqWxWZhJM3DFWSe96Pv9A5Sdg2Vlx2yUfp3qVZnS+PxrkeZg7VSXR+5l5Dpmo9kpliZnYSbNwWCBWU/pLKUVV/4faVCY+YFEGpu7EWkOVu2YLbW1BWbN77D+RS92zKTxWZhJc+DVacttcCP7dsPonNgpliZmYSbNwaq3ZFpqrvw/mnPMpMlZmElz4C2ZltvanR1aDqRj1u6V6X+MNC4LM2kO7BwsN2+5NZq/99LkLMykOeiv4+QBajkN6jHTu4+Vwfp9HmqkcfnXIs1B/7jksgHLacU5ZiN5r0xpchZm0hwMbk1j52ApxTlmI3k1sjQ5jxLSHKwO5tq0HIjWhXPMRnOOmTQ5DxPSHKy4XMZSW7uJebtxdM3gqkzXMZPG1lphluSjSf6U5L4kX2krDmkeVj2ls9T698h05f99rXXM7AFI49rQxg9NcjZwAXBaVe1NcnQbcUjzMphj5oF7Ka0tMNtuHF3jHDNpcm19jLkC+FJV7QWoqj0txSHNxYqT/5daP79xvYx99H/dnXsnja+to8SpwDuS7EryqyRntBSHNBdO/l9uK3bMRrJjJk1u3U5lJvk58KoRb32m+bmHA9uBM4Abk5xYVTXi++wAdgBs2bJlvcKV1tVgHTM7ZkvJOWajDeaYOflfGtu6FWZVde4LvZfkCuDmphC7I8lzwJHAYyO+z7XAtQDbtm17XuEmLQI7ZsvNBWZHW/EesdLE2jpM3AqcA5DkVOBA4PGWYpHW3cYDVlkJHHxgK9fbaJ31O2XWZftyHTNpcm0dJa4DrkuyG3gGuGzUaUxpWRyycQM3fGg7b9h8aNuhaB04x2w055hJk2ulMKuqZ4BL2/jZUlvedtKmtkPQOokr/4+0dq9Mz+FL4/KvRZKmNGgIWZftIwkrsWMmTcIJL5I0JTtmL+wLF76e7SfaLZbGZWEmSVNyjtkLu+Stx7cdgrRQPJUpSVOyYyZpVizMJGlK/U6ZZZmkaVmYSdKUVuLK/5Jmw8JMkqYUV/6XNCMWZpI0pRVX/pc0IxZmkjSlDSvhI2efzLlbj2k7FEkLzuUyJGlKSbjq3a9tOwxJS8COmSRJUkdYmEmSJHWEhZkkSVJHWJhJkiR1hIWZJElSR1iYSZIkdYSFmSRJUkdYmEmSJHWEhZkkSVJHWJhJkiR1hIWZJElSR1iYSZIkdYSFmSRJUkekqtqOYWxJHgP+1nYcmtiRwONtB6GXxNwtLnO3uMzdYhvO3/FVddQk/3ihCjMtpiR3VtW2tuPQ5Mzd4jJ3i8vcLbZp8+epTEmSpI6wMJMkSeoICzPNw7VtB6CXzNwtLnO3uMzdYpsqf84xkyRJ6gg7ZpIkSR1hYaapJbkuyZ4ku4fGjkiyM8mfm8fDm/Ek+VqSB5L8Icmb24v85S3JcUluT3J/kvuSXNmMm7sFkOSgJHck+X2Tv881469JsqvJ3w+THNiMb2xeP9C8f0Kb8QuSrCa5O8lPm9fmbgEkeTDJvUnuSXJnMzaz/aaFmWbh28B5+419Eritqk4BbmteA7wHOKX52gF8Y04x6vmeBT5eVVuB7cCHk7wOc7co9gLnVNUbgdOB85JsB74MXN3k70ng8mb7y4Enq+pk4OpmO7XrSuD+odfmbnGcXVWnDy2LMbP9poWZplZVvwae2G/4AuD65vn1wIVD49+pnt8ChyV59Xwi1bCqeqSqftc8/xe9A8SxmLuF0OTh383LA5qvAs4BbmrG989fP683Ae9MkjmFq/0k2Qy8F/hm8zqYu0U2s/2mhZnWyzFV9Qj0CgDg6Gb8WOAfQ9s91IypRc2pkTcBuzB3C6M5FXYPsAfYCfwFeKqqnm02Gc7RIH/N+08Dm+YbsYZcA3wCeK55vQlztygK+FmSu5LsaMZmtt/cMONgpf9n1Kc8Lw1uUZJDgB8BH6uqf77IB3Fz1zFV9V/g9CSHAbcAW0dt1jyav45Icj6wp6ruSnJWf3jEpuaum86sqoeTHA3sTPLHF9l24tzZMdN6ebTfrm0e9zTjDwHHDW23GXh4zrGpkeQAekXZDVV1czNs7hZMVT0F/JLeXMHDkvQ/dA/naJC/5v1Def4UBM3HmcD7kjwI/IDeKcxrMHcLoaoebh730PtA9BZmuN+0MNN6+QlwWfP8MuDHQ+MfaK5U2Q483W//ar6aOSrfAu6vqq8OvWXuFkCSo5pOGUkOBs6lN0/wduCiZrP989fP60XAL8qFLFtRVZ+qqs1VdQJwMb1cXIK567wkr0jyyv5z4F3Abma433SBWU0tyfeBs4AjgUeBzwK3AjcCW4C/A++vqieaYuDr9K7i/A/wwaq6s424X+6SvB34DXAva/NcPk1vnpm567gkp9GbZLxK70P2jVX1+SQn0uvCHAHcDVxaVXuTHAR8l95cwieAi6vqr+1Er77mVOZVVXW+ueu+Jke3NC83AN+rqi8m2cSM9psWZpIkSR3hqUxJkqSOsDCTJEnqCAszSZKkjrAwkyRJ6ggLM0mSpI6wMJMkSeoICzNJkqSOsDCTJEnqiP8BWzHpkUd6l5kAAAAASUVORK5CYII=\n",
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