{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# 關於視覺化與機器學習\n",
"\n",
"我們先載入這個章節範例程式碼中會使用到的第三方套件、模組或者其中的部分類別、函式。"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"from IPython.display import YouTubeVideo\n",
"import numpy as np\n",
"import requests\n",
"import pandas as pd\n",
"import matplotlib.pyplot as plt\n",
"from sklearn.linear_model import LinearRegression\n",
"from sklearn.linear_model import LogisticRegression"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 一個資料科學專案\n",
"\n",
"資料科學家面對的專案可能會包含下列這些工作內容:討論需求規格,取得測試資料、載入環境、整理資料、使用視覺化探索資料、利用機器學習模型預測資料、部署專案到正式環境到最後是將專案的洞察以淺顯易懂方式與組織內部其他團隊溝通及分享,而完成整個專案的最主要工具則是程式語言。本書專注於在使用視覺化探索資料、利用機器學習模型預測資料這兩階段。\n",
"\n",
"![資料科學專案](01-introduction_01_0.png)\n",
"\n",
"圖片來源:[R for Data Science](https://r4ds.had.co.nz/program-intro.html)\n",
"\n",
"## 何謂視覺化\n",
"\n",
"> I know having the data is not enough, I have to show it in a way that people both enjoy and understand.\n",
">\n",
"> [Hans Rosling](https://en.wikipedia.org/wiki/Hans_Rosling)\n",
"\n",
"視覺化是致力於將抽象性概念具體化的學科,透過圖形中的大小、顏色或形狀等元素把原始資料、函式或方程式等所蘊含的特徵表達給瀏覽的人,進而將抽象的資訊轉換為溝通對象能快速掌握理解的精簡內容。我們日常工作中時常聽到的資訊圖表(Infographics)、商業智能(Business Intelligence)以及儀表板(Dashboard)都是視覺化的應用場景。\n",
"\n",
"有效的視覺化具有資訊豐富卻能簡單理解的特性,我們可以從資料科學生態圈中為眾人朗朗上口的兩個經典案例:「拿破崙征俄戰爭」與「兩百年四分鐘」,感受他們如何將龐雜資訊轉換為易懂的視覺化。\n",
"\n",
"1. 拿破崙征俄戰爭:法國土木工程師 [Charles Minard](https://en.wikipedia.org/wiki/Charles_Joseph_Minard) 使用一種前所未見的帶狀圖來描繪拿破崙的軍隊從波蘭前進至俄羅斯邊界在特定地理位置的軍隊規模,在一個圖形上涵蓋七個資料特徵:軍隊人數、行軍距離、溫度、經度、緯度、行進方向以及特定日期,讀者可以一目瞭然 1812 年征俄戰爭中拿破崙軍隊的慘烈戰況。這樣外觀的帶狀圖在後來被稱為 Sankey 圖,以發明者 [Matthew Henry Phineas Riall Sankey](https://en.wikipedia.org/wiki/Matthew_Henry_Phineas_Riall_Sankey) 作為命名,特別用來描述數量的流動與多寡。\n",
"\n",
"![Charles Minard 的拿破崙征俄戰爭 Sankey 圖](01-introduction_01_1.png)\n",
"\n",
"2. [兩百年四分鐘](https://www.youtube.com/watch?v=Z8t4k0Q8e8Y):瑞典公衛教授 Hans Rosling 使用氣泡圖搭配動畫僅花費四分鐘和觀眾說明全世界超過兩百個國家在近兩百年中財富與健康程度的消長趨勢,在一個圖形上涵蓋五個資料特徵:人均國內生產總值、人均預期壽命、人口數、洲別、年份,觀眾可以一目暸然在綠能、和平、貿易與科技的助瀾下,長期世界國家的發展趨勢是往富裕且健康的方向前進。"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"data": {
"image/jpeg": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wCEAAEBAQICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgIBAQEBAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAv/AABEIAWgB4AMBIgACEQEDEQH/xAAfAAABAwUBAQEAAAAAAAAAAAAABwgJAwQFBgoCAQv/xABkEAABAwIEAwUECAMEBQYHCREBAgMEBREABhIhBzFBCBMiUWEUcYGhCRUjMpGxwfBC0eEWUmKiJDNykvEXQ4LS0+IKGCU0k5TVJkVTc4OytbbDJyg1N1RVVmV3hKOztMLF1OP/xAAeAQABBAMBAQEAAAAAAAAAAAAABAUGBwIDCAEJCv/EAFsRAAEDAgQDBQQGBQUIDQ0AAAECAxEABAUSITEGQVEHEyJhcRSBkaEyscHR4fAIFSNCUiQzYpLxCVNUcqKm5OYWGSZDVmRldYKTpLPSFyU1NmNmc3SDlbXD4v/aAAwDAQACEQMRAD8A/P8A8GDBgoowYMGCijBgwYKKMGDBgoowYMGCijBgwYKKMGDBgoowYMGCijBgwYKKMGDBgoowYMGCijBgwYKKMGDBgoowYMGCijBgwYKKMGDBgoowYMGCijBgwYKKMGDBgoowYMGCijBgwYKKMGDBgoowYMGCijBgwYKKMGDBgoowYMGCijBgwYKKMGDBgoowYMGCijBgwYKKMGDBgoowYMGCijBgwYKKMGDBgoowYMGCijBgwYKKMGDBgoowYMGCijBgwYKKMGDBgoowYMGCijBgwYKKMGDBgoowYMGCijBgwYKKMGDBgoowYMGCijBgwYKKMGDBgoowYMGCijBgwYKKMGDBgoowYMGCijBgwYKKMGDBgoowYMGCijBgwYKKMGDBgoowYMGCijBgwYKKMGL1MQXsV2/6P9cejCFr6/8AL/U4KKsMGLgMX/i/ykfnbF+xTEL5vaT0Gi/P11i2CvUpJ2rEYMbi1lFSxcPi3o3f/wC0x6OUCBcv23t/qv8A/pjX3qev11sLCv4fqP1VpmDG2nKi+jt/L7Pn/nxipFHW2rSo8uZ07fn/ACwB1JmDtvWJaV0NYfBjIewf4/8AL/XHgw7fxfL+uM0qB2rCassGLz2T/F8v64+ohk3uq1vS/wCox7RVlgxkPYP8f+X+uD2If3/8o/62CisfgxfKhW/iv/0f64+ex7X1fL+uCirLBi7MU9CT7h/XH1ES/wDF8v64KKs8GMiKf/i/y/1xsVJykmSFKVKDISbXLWq5/wDSptjW46lAlRgehP1A16kEmBvWmYMPd4D9hvMXEd2ZGys+qoy4MVya/Fjwe9e9naSFOOJSJaSrSnUbAfw+uyE8QuDcjLkt+BMkOCZGUpD8Z2GqO60tIB0uJU+tSTY3sRthsax60W6thLwLqAlSkZVghK/onVIBB6gmOcUqcsXUI7xSCETEyDr6Ak/KkYwYuxF/xfL+uPaodv4v8v8AXDvSSrHBjICCDbx/5f8AvY+rgW/j/wAv9cFAFY7BjIiBf+P/AC/1x7+rf8f+X/vYxUsDegisXgxlPq3yc/y/97FJcGygnVz66f64ErB2NZZD0qwwYyaqda3j/wAv/ex49h/x/wCX+uMqMh6Vj8GM09RyhAXrvcgW025+ur9MbJlvKEWYl1UuoqggIPcWh+09+8lVi0SJLIaHMhw6thugHGovpAKidBuYP3TWZYVITGp2Ej74rQcGFvrXB1EOhGtmqpUhT3cMRVQ9Dz6rJUVXTKdDaA2rWCsDUNvXCRJp9/47f9H/AL2MGLpt0ShWYTGyhqPUCh1hSFBKhBOwkHfzBIHvNY3Bi7VFIIAN/W39ce1QwP4/8v8AXCiteU1Y4MXvsn+L5f1x9EMbgrtb/D/3sFBSRVjgxeey+Svl/XHwRrm2ry6f1wV5VpgxkPYR1X/l/wC9j4YYA+//AJf+9goqwwYvPZP8Xy/rj0IV/wCL5f1wCirHBjLRqStwaidKfO17+7cY2Gg5Fl1KQ3FiJcdecUlIQhoqV4lhAsAvn1ANr8r9ca3HUISpa1JShP0lKIAEeZ+ysggmIBMmBAnX3VpGDE0MD6IB6k8O3eInEbiA1kWG6wXKLSDlj64qtZd06w0yyrMVJLLZSR9uUui+wQdrxOZlydGhypDUaoGXFadWhqSuJ7M46hKikOKjiTIS0VWvoD7luWo4a8Ox+0uypNu8HSkwYQ4BP+MpASfUEiltzhj7KUrdbKEq2JKdZ8gSR7xWg4MXSo41EBRNiRcptfe1/vH8MfTFPQ3+Fv1w8Ugq0wYuRGPXUPXTt+ePfsn+L5f1wUVZ4MXCmLG1/l/XH32Y9Dgoq2wYuhF23Py/rjx3Hr8v64KKoYMVksE4+li3X5f1wUVlUptzxXabudv3fHptF99vji7aAuSD06Wtj1YivQKufqwLSNVk7E6r2I2HLbpzxRk0NxtAcT9s2d9TZusepTtbz5Xxn2kAsrUoXSEKv5W041ynzHY5KmllJuPDsQUnYApI67W88I++PlS0MBOsnTXly16VXg1FbQ2JWgHxb2PkQL8t/d16Y3OFNZfA0qR6g2vf8N8a4ZMOT/r0GM+Tp1A6EEk8y2B15kgefriwl096KoG9kkXS+m6kK99gbbeeE7ic3MjWdPOvQ8r+GQdvz8KUdUFNgQb+m4t7thtjDzYINwUjl1AxbUnMRQlCJJBB2S6ASOW1wDfl+F98bfHWy8m6SlfOxHTpvucau8KAfLST+RStCkqA0gnlzpJ5kHRfSL+gxigb4VWbAQTyF+o8v3t+eNUmUm1yi3qOl/T8MKGbpMa7/wBtJX7aNYj6q04kA2x6CrDF89C08xv67WxYLSoEbbHr/LC9JkTSApNfWjzv57YprQQenTH1SfhiolR8zb4Y9ryvmra3zx6Sdjj4UY82wUVScBNrfnbFRtNxj0gG+w9+LhDBQCo2tzHr7sFZBPnQnw7YzlDqwjrKXEhbS1AlJFyCPLy22vjWlqUs+X79cfY6Varm3X0xg42FCDWxuAoGdOdSy/R09qabwg4lULMUVZNPcfRHntEakvQ3wW1tuXUE2KXFgjfbbriYn6b7sj0LOFCovaU4axkOZdzCwxCzXDgoBTTqo0Qy3KdSkLCEPJ0pJSU6lr8Q3xyw5UqxXaM45pUixZXqtuDtqueh922Opr6EbteUat06vdn7iO+JGWM6RXoMP2pQU3BmPpUGJDQcJSlxlwoWOR1JSQb86i4tws2t03iLKYUhJbePNxonZXKUn6MRHv0meHXSHm1MkyJkbe4Hf7DXJnmCiqjuFW+lSr9bG/IgbbHpty3xgSdv1xKJ9IX2I69wfzxX8p1aM4Y7E6Sqi1ENlMefTxpcaejr+6u7byLpSpRSdV8RfOpKSUEHwkg357G2+LFwXFU3TKFogyB7tNj56cqjeI4eppR2gyU6cp/H1qkDirusWJ3vzvbFLFVv5dcPdNiNxVIKsoDF6Fg3xbyEAKSU8iDttt+H64pi/rjWpsHUzQverptVifd/PFs+rxgi/oOWKyQr0xTlpOq/x/ZxraiTXufTpX1Cybg9LWH7549FN9rXvi1bcUTsB/vDF4nULEjqPUc/PG81sQqsxUkgMo5X/pjdsnyqOCwme7JYCFILhRHTIQRquqwStKxdJ0naw1E3NsJ3UJHeWtfwja3688WCVEAb7nmNvythAtrwlKtMx5H6tI+Nbri6CVyBOg90T9ppauL2a4Mt1uPSZD78JKUqCnWVRwFlOjug0ok/ZJCRqGyrCxwjKlWG/L3YtlqWVJ8rjFZxZNxjdZ2yWkZUg66kk6z8B9Val3ClkrOhgADoOXyrwlxI639wP649KsRihoGKyU3BwqrRmNVEAAcsUScVreH122xbnXf7o/EDp64KyJ0FfcVUeeKST+xiq4uwt57HBWMaTQvlilj4Bj0PTBXlChYged/Tlb+eK8SN3iuWwO9yDe3l5+7FWJH743sQEkbncHnty9PhhyHAPs9Zh4gZhgZby3TX502Y8hCG2mlLCAtQGtxSNkpG5JVbwpUf4cIMQv27dtbrqghCASSfSdK3sMKcUlCUkk/XyrReHvDaq5kqUWlUmI9Kmy3UNssMIWpSipQT/AlRFt7mxPptjqr4C9jThp2YsnxM98Z0tVDOFSj+2ULKY0qkBTLftDD01CyVNN94A2dSRqJ22vhwuUOCfCPsW5ObzFmdcDMvFww7QqEO7kJp0yckOMuyPErxRhsoHToJJsCRjlm7YPbHzLxOzPPzJmSpOy5ct1a2mVLX3URm/hjtpOlDbbfJKEi9r88UpdXt1xDcez22dnD0KhawSC6diAZI0jWR+9NTq1tmsOZ714pU6r6KD+70j19T6VuXbp7c2Y+LWYpNWrElbFOaWpulUeMoNwafESv7FhlpBCNkWSpQSL9NsRuTqoXlXN0o6I/Xr69eWCbNXIUXHSVeQv8Ad91tvz/XFjZJtsfli4MFwNixYbZaQE5QMyuZMa69DvtPnUSxPEnLlxSnFE6nKnkkToKqA3x6AvjwVjp0/DHjUfL5Yeqa6ratN8eCvVty/YxQSFE78sVwm2CiviGxqJPL15fsYrHSncG/5YpqO2KbPr+98FFVtZI5eYvjx3YAuT+74qchYcsUHFdPPHpFFfUrsdtxiis/r+Rx7OPlr/P8jj0J0misuz5fvfnjMMxwtKkgC+3x9MWUYXXuNum379MZ6Mg6kkciRfbpcfvzwnuzO2ny5VuZAgTrJjT3RNZ+gRim5DaHQgpUWnUqLSwBulzSQooUL6tJB22N9sbjWMrUSoVNyCuI9kiptrW3MjVD2p6nxpACSkONuNt1CA2rmC6h1KSSrxJscZTJ1I9ofabQShSXGykp+8lYUFIWDuPA4lCtwRtyIuMdtNG7MvHriTwQy1nXinwv4ddpLKOYMltVKjS6bDh5Q4wZO1wXTGqjdfp1Ph/XLiQhhydGKHStSFrSpRPd4ZH7lSWXXkpUUsRMDcEAkx+8N/rqWM4bLKXCEhJWG5KoMkctIjkNfKuDzNWR6nSVqRMYDjVipM6KtMuJIbv4HmZLRUhTa9inWG3EiyVoSsEDXoU6XGSFtqLrJOkoVpUPM7G5G1+mOnHO/wBFHSqvSJGaOCnEOC7Op+WYFYqvCfPsKRlrOjS4tObdzNJpLtXZh0bM8BuUxUHGvZW0KW2gM+1uL0pxDzxe4EKoU1in1pmLTazJgxak4imB1bUcTUd+iNV6c+zHfgzu4W1I7iP3yUR5DTurQ40VIrPHmnYGgXlKynmEgTsYivX8BjMGBJQo5ydgqAfMxGg0pkKksyrlkdw6TctqT4Vn/DfYbnp8him0qVCc6oUSBpA1IXfqL36eWFQruRpcZBkIQ1Liosfa4gK2zfkpYISpn1DiQRsTYEE4qChxSFocTdsJGlK7FIURuL8x7x8sPgSlSSoGRpy0M1FltOJVroredaso9ZEkd2tKkPC1zaydhbZRsPeMZ5ukB1NyPvDb+h/fptj1KyI97IqY2uOpKQm7O5XqJF9JI6epxe0h99tpKXW1gJsB1IHQD0wncZymASIAn3+pp0YdUPCtJEic2+aOfl0rBTsprW0Qpu/PkDf8cJnUqM8wT4SALAAg2H7OHqcN8oTMxVOFRoSEqlTne6Z7xWlAUE6lFZ6DTv57HCs8T+zFSKfBmrVnTLcmdCDve06OJhkF5nZbCF+zlpSkrBSTewVsDh0wvD3nG1upktonNPl8ajfEXEFjaOssuOhtbwBSCPPLrBJ3PnUXOkk+7n/THk42OtU/ul+FICTfe24I+8On3TtyHLGALXLcfLGXep013ralQOoMg7HXX4gV6vikDvj6WFXsnc2uRffna9r4uGYa1WFid97b497xH8aR6z91ZhBPKvcdF1Db8P8Ahi4mC6AE2Gkbgmx+H7/PHoxlIBtcdBa1/wB+/GOLLtrcx57740KWnNIWkjTYkj6qCkjlVEKtiu0vffn0xTTGUm99r/vrgQyvmATz3FuX/DG7vk9RWNXWooUlwGxBtfrbn++mFv4acTZtHqECs02QuNUoEhpxDjR0OBaFApWLbGw2N7i/TCFBtXIg38sV4TxYdSsX3O/oP+OEd1btPoWhcKSoFMaxBHMx1+6lFpeqaWCASAZOmhj8++u3/PWY6H21OzyW4wjDi7w4o/1vESkgzKo0024JsBAB1uGW2y2oXvbSnSD14sc75ZkRpLpW2pLra1tSG1DSWnUKKVJUnmCFApIVY3G+4OJAuwd2iq/w3zGrMFArCae+Iq2S244UsvJWpAKHGypKFICdV9Q5KIHPFTiZDpuYJVdqMh6CiVWJEma4ppTKGmnnStwpaQFEhOo2ABsBsPIVNhC14NeO28l21C/2Rkfs8+pEGNJMyPKp9fMi/tUvIhLgEqGgnb7qi7CD12PX34qBHQX+H9MZupUlxl1xFr6VqF02I2JG252/LFkmnuG1ht53t+R92LgTdoIBncTuKgHdFJ1nQx9FXp0qyPrgRHW4q6eVhjI/VTp2Cfeegt54rinvgclWHLQP2cal3CJnMkep+6RWCkKOoSSPIH7Yr6G9IAOwA39dsYh5Y3vvzuP0xkXYj5FilfxBv8NsWZiODbQv36Sf0x6ypIJOdPxP3VhrH0Fb+X316jQ7+K3u/LF66EJSRcXA2HTbGPTFeHJLn+4v+uK6ID/9xe/mk339CMKC+gfvCskk7ZTPu++rIK3Pv292KrUQKOpZFuewN/djJJy/KWLpYePLk2o/kDbFyzludY/6O7Yebbn/AFP3+GNZu2ua0++tndrVu2THURWFeskbW+OLVSTfGzrypMtcx3j7kOkf/M/pizXQZiTYx3tuvdq/VI+WPRdNnZQNYllzX9msD00/s6ViERzzPxtbFEmyiBe3rb9MZAUp8bd24PSx2x8FKeHJtflyUf0xn3yetAQR9JJHqIq3KSoc97Y99ztuoY9mG6OaFXHpbFJUd08kK/Af0x4H07TXq0mNAfdVBLJBuD+J2/LFN1sk7nbblyxfJpj530n5fzx6MF6xsk+XIY979PWtRBG4q0ULAY9MJKlaBzPy9+PYhuCw0Kv7x09P64qtxHkjdNr+oCrfG/6YHdvfQRFKlwvy0zVqxTaW5JZhtyZbLD0x42aYDywgqWbEWF77iwtucdf9D4u8Gex5kNS8jSqZnTilmCNpYqTBafbpDbrCSpYWVaELQVr2BBFgQL7Y4vIbqmCClK0m4NwoC+kgi9ue/wCGNorGcJkhpCO8XqI0la3SskDY6QSSCf8AFv0viA8VcKPYk7bpN0pNskEuW/7q4J1J3mJgR9dSbBcYZtW3AUS6oHKrzE5Z6RpS/dortP17OtcqVarlSkVGqz5S33nHnVKKdRukJN9ISnkEjkNsNEkvLdWXHBrUokklXK/y292Pioi9V/vKO91bkk+px6DbnkBtv+uJXhmDtWjSWmUhKUgD4U0YjeOXCipceQ10q2KhysR7iMeQUjofxH8sVlIvckEdL72v/P08umKQjm+6x+GHcU3DYTvXhaL8vPHzuj54ug1br8sVUNI/iXp8jb/hj2vatU32Hw/PHr97b/ljNU6JGWbOPkb89G1vxxvEWi0RKSp2cs72IQ1y2/nfCZy4AB0JI5R+fdSxqxWuMpRJ5FUH50lgPXp8serdbbYWxinZYKPFJlFVzybTa1tj/LGuVhihpSfZlSXd7eJISPxubH8r9cIm8RzGAyv1yiPjNOCsBeSkKKmteQcBPwj7aTU4prSbjY29x9fTGeKoBP8AqHdjtdwfokYy1Pm05r78RTg/xO/pb9Dhcp0xo2onpEa/GmZLKSQM2WdJJ0rVEQ1KFwlZ9wv69AemPL0ZSBcpUPeNvyw4vLvEjLcJKVPZbYlKTa4ceJCuvLuz8/yxrufeJVOqSgKfQolOaA3CE8zz+9oFyduW36JU3rxVl7mBoCZA6a+dLjYoCZLySddAd+g2FJmg2AOnfz/e2MxAcduLAW579LeW34jy2GPCGNv3/LGShxErH37EX5Hlb3Y2OuEj7hXlkkanmNR8hTjuDMH2qbEaI8ankW52JK0j9bf8MfrwfRr0b2Ts3cL4C2u7Uzw7pTDiVixQpVN8YUDbqdxcdLHH5F/AKQuPVoTg8XdSml3KtrpUlVlf4Ta592P2JewzV0VTgxw+mpDbaajkyiPJS0NCE+0U5r/VpWLgAq2Ch77Y02iQq1v0KMAqQnUwPEjz051McZEYW0RoS+Nt9qSeo9kXI/EHg9SqLm3K1GqzjWU+5hypcBgz4DjsJZS5GloCJcYgrBUlqQlKzcKCmzpxBXxl+jJRO7M+YaxPnU/N1TqcyPXwM301EqoZfdpOnL7Scu19hbFThJ+qafEZMeU8/DUhtKC22gJI6uaRTVRaEzD1d4WIHc3Va3gZUkA2CQQBZOwsbYaTxGyuE8EKzT3WUHTRakstAAJJLz7iSBYcwoHDU9ZttrJDaRFoUlQGhygc9vsqN2uJuoKwklQU+gET+6RrPSfrmvzgO3V9HL/ySSKVIhSMyQ5s5LKplDzFS2UOxkyISH2ZkOuUtb1GrlMljvA0kBuUw2lLb7QVcmLvPXCxpTaXxHZadcSCtTKShKlEncoAAB87Dnjve+nuoLf/ACd5deU0gKkU3LxStOnUhcVjSLHmQEuFNuWk25C2OOjirlD2dhoKdLnhTp32PUbDrvhwwKHEuk/70psDlorfTn9dOWIqSvKtQSDGsaAeWkfmajkkUd1iOWlFZCbJHLoRzHMfHnbFGFTVKTyJ+GF4rtEAaWSjSSofw9L2G9satDpHhUeg328v35/nh2u2U/SHyPp0pmadIcAJlOwn3bE7c9q3fs/02oIzRR10hpL1TTL1RmXCpDbrndO3StaSClISCVlJFk7k2GJJuLXDlqVRqxNepGQ0VBymzZ61wHJa56u4UtEp1kG7S1svocS4sFXjT4trYYfwMFUj5mo7lEZbfqyJgMRh0gNOKLToUlZ/hBQVBSuiSVH7uJF+IRDVBriITOWqhW4kGqIdiwpry5VJh1JbrtXaQ3pDUlTbzrq1WVdB1dN8T3gZCRY3aCM2YEjmZJ261zZ2z3C0YvhRQAJjMrcx3sD0nSoCc45TaeOsaEEAq8IBCupv6m97jYn34TJeXnYiw6ltDmkfdWgFJ2HQ7eu/PocLjmFlTaj3ZKrAgoI6EXCR5+HlboN8aJJq7GssK1IUALlYNr9Rcj0I+G2KmvVLQ64kJOhVvpGp/O1dJYaErYSpatQhISfcPxq0gcWKjDb9nRTqSUgW1O01l1zmCCVkX3225DljbJXaLrSWUp+r8thKU6fBRIqHLEWF1pAJO1ySNyPdjWo9IS7qUQCk8jt8Nx0/PCe5hpZStWj7o8uRt+e+EzTqFqyqbiBOpJ5gfbS1TS0IzwFaxGm+v3VfVTiZOlOLddYgArN7NxG0JHoEgAD4e7GMTnR1Qt3UYHz7hB36enTGkyEqBsQfw2xZKumygCLdRh7bs2o0TA6TTS5dLnUAe4fX91bk5nKUk27qPYnl3CLfnjyc4vk6S3HAG+zCB8x7vUY1XWFgX2VjwU77+7G1NqgbCk5dJrbHc0P31aGNhbdlB9egxUGcpOwCI3S32CLY1MKFrEXx9IsOW/7/AEx77Midvdyr0PEdPhSoQuJkxjdCIpKbHeOj08zv6i1j1vhSqD2oq9TklMeNQ1k38UqkxpBTcW21Eb+dx5Ww2FC9JNxt1937OKio/i531WPuv0+OEL2FWqjLjKFHqoTSq3xR1A8KyABER9h+vf307dHbBzKdIEDKp0G+o5agEqJuDrJVvzubW35YyFP7amaY2pKKflFes3IdyvT1AdPDYiwt5deeELyHwxqNZcMenQX58hQKgzGadkO2sVbNtXI0pCib8rG+NRzNlaRTZDjDzam3EKKVoWClaDcgghW+xBv+HO4wjbasFOFlLbWZP0hAGnlS1V5dhOYqlPok6fCnRT+2jmZ4HXT8ot3BR9jliA3cEEEmyj4rXF/1thHqtxuqskqUsQEazqIYgsNi556QlPhHlvhF1pIG5G2PIOtB/vdD88OSsIt0khLSQAeWg+VI1Yo8oQVJP/RT91KCviLUFb6m7E8g02OfvF/wxbqztOKT40BRv/zaB+SbY0YWv7rYqkgg4UItEdPnSQ3jmaCQR5gGtpGdJ4Nu8ST18CNvdsL4vGc91FJSe8Rt10Iv/wDNIxovI+uPqXbkC+56fzxkqzag6a686O+VMyR6aD4bUrH/ACsVdo6UStIsnYNNH5lB/TAeL1cJKRNWL/3UMAWA9GgR08/d5adlmiuVGosw0JUrvTuG9HeWSL+DWpCSo2skFQHrywvHGzg3T8qRKYTLmCpT2GZQgy48VtTcV5sqDpXGkvWWFAp7taEnrYWw3PC3StDZSSVjQwSARE+XPrTg1cvKSpQIOWJGg3/JpMHeKdXP35jp8/8AV8rf7A+WMNLzzUHRcynt+fiG/wCCR8saU9uo9Rt7uXTlzxSUq1vU2wtFk0k6CY21MfCdqSrvHDIJ06Vn/r2SrcuuX9//AAAxbLqb3V5308Qv8LH1xY6thc79PjjyUXIvvbGzuU9IrSp5R31rIIluquVLUfj09cWy5Ct/EfdqxTLlhbz6YttIufljS2gZtRprvWJcMRJHvj4Vctvqt95XXa59cDayblJJ999j63xcwIZeWEg23sSeg/C3L1w7Lgn2SM5cRJZgZTokuopQGxJkNtKRGY1Ktd2QqyE3INwkkpSNRAThHiF8xbeJ5QbQBKjIAG+89aVWlqt7RIzEcyaZ4tayb3P42x8cCjY3PLzwp3EPhnOy9UJdOmJAehyX40gpIUgOx16HAgj7wCgRcAA8xtthNCb+o6HC22fbebQ42rMhQzJUOlaX7dxtSkuCCDQgD+Lf374+pt1t+H8secVDsMKAgefxpPFUnNrFPP8AX9MZCJIJQpShquu21/Lf4fsYx3JQPw8/ljcKelr2fUoBSis8jbTZPVI258jzxhcuZACNdRW5oFRid5rWNat9zoO9rm3+7a1/niho6kWv92/X3eXx59MXy0IQnUdJuop0ajqta4PK1r9cZVmqpbbcQlhA71OlV0oUQOhCiNQ+BGAOyYg1jl13HxrBJAx6wEW2G+9htj2GycbaxNeBty/n+eAqV57eR/pvi97pO38seSyCegFuW+PQJ3oB0jcedUC6o7XI935Y+XOLlLQBxVWi4sd8BgbQB5aUIbB1isdira4tuP8AjfFwlq3THoIvfbGvT+L51s7sVahs9OXzx9bQdwR8OWL9EVZO2yb7nf8AAXHM4zsZDTbalFGoclKc6XsNISQB8TvjT3hBIB0J9aw7mSJMCeXT4dKqMoNwCDjZo7ASE2Rudvx2xZsoSVgdcbDDRuLjyH4nCNbukxt+elO7LYB0EafaKcJwMpKnKjEbaICnXm07gKTdRCLKHMApJSSPO43GP1YuxD2Yl5T4PZaeybmCuUedLynT5j9PnTZeYKA7UHaalZWzS6o6+7T29RCUNUyTEZRcqUwvlj8r/gC0hNXhLIOzzYICtOsXCtF+lyLcjzOP15OxbPRI4J5FlBC0JdyPRnNCyCtKVUltVlFNgTp687WvvhOnI7h+Jtq8ADjZKknxAd2CTP8ARqX4t4cOY87gfUmriDxbrWXsisVHOdGltvxaTHRNl0FtdWaU45G0rk+ysssy2E3HfPBbJSz3hTrUBqxdVTMsKtcLZTsN4SG5tAecT3iFMrUhTS73afCHEHySpIJ/hScLfVG0rym8lRKEKoTyFK2CkJVAtqJO10jzwiHF7hTR8y8L5NLqTCJTKMupLL4cWy+h1iEO6kNymFNupV90ghYsQd8Q24tnW1OKbfWsLw5akNuEnSYmOUxvvUMQUnLKcv7duSnpJ+qoMPpzac/NyBk2JFYVIkyYdPbaaSACtaGGjpurSkXtYlZSfjjlQ4icEcxyoDD7lEkNAyWIqNOlxK330/ZsAtrPiXcWHK299sdHX003CTNuR+GGXWaBm6o5jyvOFLbXl3NYj1abSZCWdbb1AzP3KK2yh1ZTqhS3pUchAQAU7YhJpFUqNBhZGoL8R9dYcqia7VIzspXs7ykh1EOIZDouyUsG+4F7p8Wq2Le7M8Pbumbn2lpSVJNuAQNzlA5/n7a+7TeLr3Dl2Yw/uXO+Kk5F6qOUnxn1FRhcXOCeYqHDkS6lSXoMcPtNDvVtHx33TZK1K2OxJA392Ne4a8NzOoGc6gWjek0dqWhfh8JW9oCU7jxEJNjY8r2viSHtOcPqbOyRWsyKpTtCqDNehxkMGfNlN1FEyXZ3S3JcCEOMNlS+9QnRtYEDD2ezzkXgfL7L/Ep+mJqK+JjOR3F5kD7jwiMyUyHzF9gQUhopIQq++oGwIBOJRi/DjTb7gbVlbS2VKChrO8DSNRUEtu1d5eGrubluX03DVukMpJCHFvJbKj5ZSa57+BrE5rNNHcpjHtc1uaFx2S6WO9Jbd1pU6ASlPdqIVbfSCL2GJEasxGhU6v11jJtHRIcRVo8uOiuP+0zkM94Ko9ESG0fYsqCtbg2ASbBR06WHcDm6ujNdHVRWUGqJklEZt63dqPdLDwcF9kdzrUTsbarWOH98XaRWHY0pmjs0KfUHsuVKNT6fSUSlPpddnPs1pmnpWrupU2Q8XAQd0kWQVabJ28CZk2t3CQVJzqSSdIBJ+Qg8qj/bT4sSwlKCE98hKHFE5QkZ4kHkf4f6UVB7xRn0+dNck0ymilRVDww0yHJWkbWs87ddwoHV5+WEopWSo9YqEdmXUGKU2/qSqbMCvY21hCyyJHdjUlDjgbbLg3SpQUdhhW+JOT3qPOXSnno7z7KU9+IkhMhDEj/nojjyPCqRHWSl5IuEKunUVAgKZ2Y+zZWuJmbKdkzL70dir1ODWZcZcvZhCaPSZtXe1kBVi6zAcaQVJUkuLQkpIKr1Djd8pTy9R3qlEED6/fXUXC2FIRaMs5y6htAHeEhR2GiiNJH2jnTU87ZRrWVX0xp8VbbLie8YkIWiRCmM/wAD0KYg9zIbUL7ApcRb7RtBIunj0xuQbp6XunkoH/ZNtvUbcsLRPq+ZsuGPTpsZbMapRIk5FGqkMyYEmLNaS9HcjMSR3sFEtpaSlcdxDawoOtp2Ixm5XZ7nVlszsv056K+Gi87S3JCHGG1j7whS1lC1C5slh1K1C+kKFsN6bhIAUtSZPMafGfPzp1ftlH+bClJkHy8z502KoU1DqCNgpO45Aj+Y+ONJmRVIVZfIfxWA/LCkyIMhlx1qY2Wn2HVsOpUAClxtWlaVW8IKVC23vG2MdUKOZDKigA6TuOp92Hq1cygGZB6bb0z3DII8xyHKk3KQFAgbfvlj0sdcX7sFaQQUKTbzHliwKfXDshQIkU0FJB1EV4x7dG3ux493ztiq2hRJ8SSPeP3/ADxlXlUEHb8fzxetCwuSNjcX+BwCEpXLTb/4xI9+3L5422iZCqE8XZepyRys/VIMQ7eYfeaNj5gn440ulP71bAjrUhv0aHa/Xwd4j0POrUdiW1E1x5saSw280tt1spv3bqFpVcLUg7XKdtQNsTFfTi9ljKSqfA4qZLjREZU4jsjOGXJ0RttDDNZWhpGbMtSFg+Ex7RptPig7KffKAqyjjmry7whrbbmoP0MoV4fFmOjABW5BN5w2HO4HzIxI9k7t81EcFK9wPzJHg1WlqqzdSoUyRKadeoVQju3cdgOoceStiU0PZ3Q04lLjekkEi+K14hwZ5Fy3e2mdRStGZA2KSqD8Ek9Kl+GXrfc926mCNAeqY29ahzlRtK1JN/DYb8/mMUEpA5YWes5AXUXHX6c/TyhtCVPJfqMSKUqGx0B91JcvzsnUR8cJpJy3JQSkri3SbHRLYWNuoKV74sO2uwpAUqQTqRpoYHnUaubQpWrKAE6lOo2k9OdYOwva3P0xULYHPmMXi6Y6NtTRtuT3zQ/JW+KKoauq0X/+Nb3+f64UJuUj8ikRFWKr32GPaWwkg23GL9MFe/ibFrc3UD8DfFVNKcX/AM40P/lm/wAyevLGJuEmfP0rysWRchXXpflzv8tt8VZD7hSAolRSNPiUVWTYWSlRJKUA3slNhysNzhQKbwynSkpU3IpSL9HqxBYV8EuuJuT5c/fjLJ4PVAgj22iXHMCu01RHpbv/ANB5Y096ganWDpOw18jSlplfigEDnHOkfBJ6HHtTB2JA8xhR5PDaaxZK5VL1Hoiqw1mw/wBh24/dsY13I8lFlLkweVrCcyq3rsrltucbjdJ3Onu0+utYt1xISSPMifhvtWiO7KT8Bi7WLFPrfGddyw6CbPRlnnZEhKyOQvYXt0+OMWuGoAhSm9ht47m3mbcset3CFEjNChyO9eJQY+iddAfPyqxcRcg33HTb88U+7UVADmogDrvy5fsYunISwOnr4rfPfBGjKStKraudrK1G1tzyHLpj3vEn3V5kjcaTr5U+rsV9kurcUMzsUOnDu4bAEquVZSbxqfCQd99tcp8ApioSFjvPG6O6QrVPX2l+15kvg5kx7h1wwbbjVCNGNNq9ZbLanG2y0lyUy08hOtyXIW6tMuSpSlbKZYDccIGOdngJ2lMwZJRKiUOqLprdRb7qQ4AlpJ8Kka3HLFQ0JUpKVWUUA7DyTPOtfk1N1xcmrw3taypWmS64FrNwVuKU0Naled/S2Kxx3hq5xK+T3qimxb8RSmf2itZChzSBEct6mdjiFvbsqKAAsmNd5gc/X4Vq3ETO0msznpLrqtK3FKFyTqKiokqJPjKiSQqw6k3JwnmM3JpLSLkTYyzzISpZ+H3dh0Bxh9I/vpI80hX8hix7JlpptDTQhDacqREafnyqK3r63XFOK/ePWa8Y+3wKQOivkf5Y9ADzv+OFlI68lBIJ8t8Z6A3ZhW55/mn9/wBcYUEWIvscZ+Ej/RlWPJY+Nhy/DCe5VCY6n6q2NKggxNYO253PlgxdaBve/wD0eZ94OwxcNoZsb6wbWAIHT3Y3BegV5A/bWgswZn8z61ZJSbg4utW9sfEMg/3gAdt8XKGQSNlH3W/UYxU+Dy/PwranfrVNKOu2KndaiBa539MZGPFQdiF/7w2/ynF+zHbHNCh7lDf/ACdMY98Pz/ZWaGSTGlYRMb8cXSWQRy/C3X44zjjDdxaPq23JdWLfDkcU0sIANmyOZtrJH4dcYKuBtSgNwCN/xrD+zD9nHrudA1CxPr+mL9tFyfAQPPcX92MpHiJSnUtvbmm9zv6+YvhKTm+NYgEcqxSFKSnbnbcncC/4/ljE1B9Th7tJFv4rCxVb4Wv19MbbOmhCQgNNi4vfQAd9+fP52+GMF3ahdRCQogkAJ89sZJVBGlGQk7b1sSGShwK3IJtuR+gxssPxKCfcfhb+uMZ3afCDsdtv+O+MnFYIWjbY7W6m+3LCZex9D8ac2UnMOU9eeo0pzHBeWETWSoAJQ4g7Wvsb7Dfl8fdj9Tn6OztW5CrnAvJlDpmeMsTszUfItKg1ek/W0SLUIVQYpSGnWpMF5bUlvSbalJZKEixudr/lpcF6cpctNgnwqSq52sUrRyIudxfkPfj9XrI/Y+4X5t4VZdeqmRcsyJJyfAejzW6TEjTo75ozZS/HnMNMym39Z1973hOrxG+GHEmrk2OIGzU2HcoBS4YCj3c77ACdSdql2LIT+r7bvMwT7TopIB9T7vnTtc25njp4e1Ca2/HlNt5deBcjvtPMuLTBKVFLranGyNQPi1EbfDGk16sh/hA7Lip0JXlMKbBIUbexhOkqTsoKUlRuDtb8GbZA7ASYmSYc7LGd83ZfmVbKMNuowHpzdZoM1TlOSXG5NLqDTgabV3imkmK9HdQ1pPeFSThaHXsw0PgyIdVpDNTTEytIaekUCQlSklpDgQUQpvsylEoFylt8hP3ElZAJitiu87xd1ds5EjCO7bLCu8bX3cLJSQI2WCORnpFQl9hGQhl1KlFZiUlKhpoTPKenOaiU+kSlM5kyLlKl1+ar2edNoyYTSVqbUn2Gk1J6UkKTqWDqbjoRpupRVYC5BEKLnCelPBiW81KlqehkyGnnqkjuVsSUNtut62jNV9iLFLdk3sv7oIxJz9KJxGyVVOHWX4tNn1OBmWmPxBIotdpk+g1WOHqatZehNzWW2pqUhN1PU1+SBqBKwDvC3Ngy3cu06c3JqXfSmZccSEP272zbp7sr1qcCSpF1BSgkqRtjpjgHjKyKHGmrfxpTbGSNSruwsg66nL4thpXNWM9kvEd44Lg4g2g53w0hSdUtqMozGNAQdDpv5Gt7448HKPJojiJv1pNYdq7bQcFSkuOx40ZtL+hEdZUXS4ClFtKVgJISAMabwpyLKy/kfjqxFhNvU5fD2DMSW3VPFvXMmoUt1K20PR3ClKUraWVHcm+9sV+K/DmRF4dVmpSPrNbkaLSX2Hmu/LMSS6+y2ZDrxdAQ4tJABSk6l3C7oChh+3ZK7O8Q8Ds7VZl6rzWc/cGpUqoVKQ43Kcj5ry5OnCvUmHTw2JCokSM/TVMvOOKTJW66W1m1y6cR8QoW4+kMQ5kBSNpSUzJj5eXvpoveyvGcLsVOOXbTzC3GEvISMsrXcNmQOZIkkjblFQGdlLhy5XqtFn0isQ6XX4NUZ7mHM0h59h1hxLrjLZ1OSVpHhLTKC4UEq0kXGJMeI+RK1Scv1o02mZXgZwTFqNLbntVhLjuXaJUftavMjx/ElvMdWcckNIioDj0FLxd71DiQBr/Y9yBQsm0efnNmo0V7NNUrj1B4eqzNRJLYgzKYyr+0dcbQyp1TzUBoewB2yW0uyGw2VLVbEjHBvs75jzDGdlwJOSaqmU4p2ZPYyw+ipIVJcWqZLp0qcsx/aXStxXfSGiVEoASN8Rk8Q2+HYepHfNG7etnHnUoWk5BBWnQEnMEwVeVY9pNo+/jtmlaHHbe39mQj9ioN/TQCAuNSnUmSc0edcqFW7KSo7ZecTIKWtRFx3W6rq1LKwpS3Vk3VrKl3J1KWrxla/o8cjP0bjfw8qEvN1SyHSZNYmUKbm2GxCcco6K3RqnT2O/FSjSoXssqa/Ehv98xpUX0faIvqE2fao7LddoFFcqM2E41HEh9TTsrSHX221EIWpLaO6Uo2JVoAQL7DSRiLiRxhefpc7LfctMicVxZAESI7GkMuJKQ0pDjWtt9DyGXkSW1ak6AOd8clYHxep67deWoqCVKyT+9qYI/PlXf2FYQymxQhKQlTraQMoiBlGmnP8+jgPpMuxbmZ7LWX871Sh0t9/LtGyRk2RmHLzRQxLp2X5dYoDEyqUmU6pcKQ/Fpjch6RAfkRVG4QEhTKl42ldkeTBYaSxFKGQiO4hxpOtpSXGgu5WpsHWSd0Hla+/TrL4J8DYObOyzlimTWEzxM4f5LakvSklxxUmnOvNS31rULrcKy846SCr7RWoq54fnxI7EGW6tTUSqdBiRZiGGFq7pmzMn2WGGm/sUjTqUEgC1rm198T42hdurlpJORu3buAZ1JcKSEf9ETPu57a2sYtGElhxG5KMxAgKA2PSNvI+6vx2eJMUt5izE2s3LdbqLR6C7UlSSbWsPLlfY3te2NJWyoGze1xuNxfz3BFr28sOh7S+UHYGfM9MPsdy4xnDMLK21p0FKm6k+kpCP4dO21/TDelMlJF+QI5fv8AfyxJbG4CkJA1CRBPpvJ68vKoRfNd2skbKOkbQdAfgBWDXCSUKCkg7b36fvnjW1ZSbeKtPhAGw2N7+8dThRS2n3YsEABSuo0gdOmHFTq0j9mYnem9wIV9KD760GPkVwXWVptc2Ta5t8NrfDFhKyypG1j1P+r28v3+WFc7whPhBPu/f7/KoytR2UlJvtZaQfz5Y8Fw+NSZA6Rr8qw9mQdoE7R/b9dISikOhVlp2va9rA/Dbly6bjFRym/wlF7XsSkH3WJ3A9AfhhcJcKMWnVFoatJJKfCRb167DlbyGNDZbhLUft3EG/3VJuBfoeQ59cbU3pO6SD+etaVWokAKknkIn4UmyaeLquE+E89rW5bAgjF+7DV3aXG9hfSdNjqsfIfdHw9BhTRR2rHujHcJO+tO9juf4j6YoLoqkkd223p3uG12CrjmQTfw/pjw30k+GSIkGCIrf7IW0xH0tZVI21/sGn2Vh6Bw7rNXiT5VPps2ZGpjBk1B5mM6+iFHBCTIk6EKDDOpQR3iyE325ctCNPWFlKm194kkKTotyNr7AAf7ov8ADEqHYB7T1M4ZZknozFTPrXKeZqLLy/mKnW7wyYcxJSkpSbjWy4Q82TuFoQE7qGLPK/ZVZqcp2ouKeRS6pIqCKSo2S+ILclxLK30qCgHu6SkqRtdSiRYYZjxEWVvB1uG0pCkGNzJ8KSdyAJ+dOlhw6u7DYYMrH00qJ/H8+lRehslKwoW08hbfl+X574swuydsSt577BESHHMqBVXXkpbKnEPMpBQUi9taDbnyO9jz2xGlmPLSoEt+IfF3Li0E8gdPO3p+zhywniO1u5S0SVgTlI15DYjeaS45w9d2KQbhMJUZBjbQnXTbetWcJBTvz/l0xXaCATsAq17nztjymKta9ITyHPonpi4VT1osFIJ1bXFv1w/Z0xrA5bAH02pgQNJG+4+ys7kbLblXqcSBHTqekPJaaRa6nHFq0hAsD94nbb34mff7C2XoNGpLMhc5utuLhqrTC2Wltw48jZZbCLkIbP8Aq1qWBfUVhRxEVlODUKRIYq0b7KREUh+OpJutDiFBaVi3IpIBH7GHt5c7Vuea/Ug/JqLjT0lmPDddU20hvukq7tBW0EoQdGrWtdisAFaVXF8VB2lWuKXAt1YddIt22QpT43WqCI0HOASdOYjarK4BcwhKn/1o1cPFakIYZbkZiQRJVPhSFESTt1puvaf4Z0nLuZZNPoM/60prIZLcwpbTqUWUOPNqDfhJbKii6b7g732w2R925sAQBtbz8iOW2Jz4fZYhZulPZcg0ibOzFKiSXIc9lx+RIflsxg/ZyJ3YjoiSFFbbT4Uld1glY3xrnZt+iGzZnLPq8q1Fhyhin909V3pjK9UFlxWlpIaPdl1+aqzcQFaGyoKUXBosWrD+2HCMPs1N4netIfs7cPPd7lS4ptAgrylUlJOgOXcbzvl2i8CX+EXSA402yzeNC5tm0vpWpLLviRm6nLvFNw+j44Ht5geztXZcH2+Nl7KNSEKIWe9VJr9SCIlNaS2QA4UtLlOaSRZQbXzRupnBr6MmsvQW8yZ4EylUtvufZqDTmjLzNXHngj2aFHba1MU0yXFoSuXLX3TKCtaylN1I6iMofRIweCmUalVKNXl1MvqiyazGmx48d9DbSCy0uE4wtaZDrfeA904kqKVHQdScMA47dqbKeT4btMq1ZaRIEdbIZjpW/JSpSO7bLkXSFL0EpK0lQChtcpuBA+Cv0iMM4qu7xOBureQFQg5cqiEeEwIBjNImJ5U84Dw1aXFhbuvLy90rxHTLJ1gmIn7KhD4z9kRx56cqg0d4VhHsxTlnLLKqtTqHCbPcuCv1lKu6crLiUgusQi8n2guFZCADiO+p5WlU2c5ElMOR3mCtLjS0lJSpPNKkncKB2I6fjicjNPbxoGXMs68sZmqGY81znNC+9y+mhUylQ1pIW3HZS6UF8gpQV6AXNJUtW98Qs5jzFLrFVk1KY4VyJbjrzpUbkqcJUq3T44vTh27xAuOpuWgi3AGQrkOrJGsgxoDsYGnM1EOMbC0QtBtlSvWQmIMgbgdORpNVpNyCPPmNtvjzxao+8RckgdSdh5W5fLGeksLXcDckn8/6YxRgOf3cThp4RrAjQD8zUNS2oA6H8irVV7nfbyx5Ati6EVZNrWI8yMUi0oGxG+NgUkcxSeqeDFT2cqItY+/HwtFOxtcY9zjqK9CT0Pwr4Ek43KmtaoSyOfe7+n2fzxqrUdRTy26ke7Cm0KDejrXpJPtenV0A7gm3788N+IPhKQQecb9fvpRbtyqCknTpSdK54qNi+wFz+WLh1qyjYb38x+/nivGZ3BVsPX+l8KkuDINQDlHu0rINkkSNJ1ojsqNttybWxnfYVC3nbfbl549RtJFgBYenT0Nr/v8ADLIQpVtJ8J2N+oB/XCIrOpk+7ati2EiP3fz61ZRoguCN/ljKsQVa0jSSCCdulhfnjZ6bSBp3HPG403LhWtIAHMfM41C9CeU+sClDNoqZEn0FJuqmL03tgRSVKSABc3+X7/fPC3uZUt4QkEkXBH8z1v0xftZLV3afB4ibdL2B5jb5Y0LxFJM6QRrr+Nb1WBOpke78xSFNUJVx4efnyGPUiIGxyO17E9bdOu1/lhaanl8sWb5k8yAfK/XpjRpVKLqi2B4t/XoT8v0x4zdA/vCORHu0rwMEageVJYYwfUVkW0npa3xvi1lRrgrBIA5DpzHIbYUGbADaQ0lAun7xItuLE26/I40irrsNCPI3tyOFaVSetaVo3JGtbU82nZVr8t/d/PGTp7SVkqBty0gi9rc7fvl87NDWtAG4J/f6YztLj6CEkY1rPLr9lOATEeRn5RTmuBcf/TW/FcE8j1usCwx+u/2W5Bd4O5PddtqXkqlKWByt9UNX5c9t8fkZcFEETGQnY6/Cq19wsWtYb7gXTa52CRfH6t3ZC4x0RfB7IUaZMeiS5GQaU5onU+fTSq1IaSohUyM02kA87rvp8WyTfDEnEUJtsTC/DCEa8vGh0fLuwdJ3qT49/wCjLSP8I+vX6zTt+GeheTqIhtWpo0GG2lR6oEJCLn3W392NBzhSW3OGlRikFSPqaSgAk72DxG+x5nbkeQxtfCGrQ5GTqIYslmQ2KLHSlbD7UhKgiOlBKVtLWhW9gSlXOw2VtjH5nJTkSc2WlqX9VyAWwCFagHLJIA8J9DhmtsRacs7ZPfNk/qt0wFGTLNruCB7zVd5SlcQf5wJ26k/dULX0/VLjDs20N5xgFTWZcnI9oS2lT8dv2aRq7p0jvEawdKtCgCnZQIGObzhmqHUsmGDJnRkinKnS235ADai6mJILDKld4lOkKudAAKnNybbY6d/p0orb3Zzp4UDrZzDlVxtKgbBaIz+zoCSAkp+9q2TsSRtjmLy/ldqXCjBqipcjsCRUJ4ccSzGksopslnuAjSoL0uvokAnYltQ3uMWH2WpCsQdIgoUhhIE6FXsI+v0qY4O0DbrJEkuESeQBMR0pYuKzTw4G5sLs9uS8/Ey2e5bXFBDaJrBdASlSnBcHlqucSZ9gMNSOxhnWpOu6V5ec4h0wvBRu3GmR6Y46i9trgpJFrW3BwxrtF5GI4I5rfi5dS08xTsvTn5qm4TSmYUeTEccW3yc8afAlCBvcXttjaPo3M8zah2Xu07lBjVqplCXmmC0nm6qpxH25iENXU4RopSUr5pGtJsL7SLHlKbxl9lyATbtEJB2GVVR/jqzQcLeTpPeNL10AKFhWu+/p8aapkyi1CsVrg9S6ZBZmUrLvCaiNuQHVpafky69R2MxZpqTZO7kmbPDL6latSm2wAQm+OwfshsZPfyPRm6bGjpC4rSnoSm0d5coH3+qvOxO2++ODjhh2ppVKXlzMcZxPtuXaPRqZCsAgPx6NTTSUd8Qg3EiHZDqTfZRA9XeZd+kSruXKguXTprrFKmO+0sMocc0R0yU967HRYiyI7zim2RbZlLY6EDnjHWLpGJXF02jOFoLaxrHdgFIA3AOXQmNa9UG7mzZQsoS7CVBagF6iFJ3y6JIAGvLltXTT9I5wkixMhVR2NBUYQDktsuJ1NR3lJWHG0NhZWEBKQbJ5WO18ccnEfss5+owi5umZYqkXLcuMmtR6s5TJKKcuE4lxxhwyi33KErKU27xdySEgG4GFR7Uv0pubq5FZgqqsiRCUlZ0F5ZShZJBGnUBYp2Pptjc+yn2x865xp2WOEeccxZilZFzRIdaFHgsGqTWqZBptRrCRGbQ25LNPkSafH70JWptmGlZDekHCbBcAZcbfWm3W0pSAECN1gkmNBy8taeLTiC7tkNNF1tZSScxP0uWwBj0k11J8CMn55y/wVyo9k+uid32Scjz5WX8wRhIYSxOb+sK0ilSkoZmMTZKX1pjsSHXI0dTaClsBYOJnabWGzDjgq7taoyCW1HxJK2gruypPgKkk2JBsbEg4j07OmZIczh9lD2Z6PKAyjk9pbbDiFhpCaUzYONglbSQm1kuobVvskAEB1Dda0uti4ALiUkHdKUkKFgPK3IDfbFr8N4Ck3t04Vpk2SAUg5tEJGsyOe+mk71WGPcX5luI5i4K5H9MaiY/Ir8ljt90hTHFPiWFpIUc95mJJ3ur60fuQbnmNJ+ZxH440u4PP4geWJUvpFaL3XFnia2fupz3mTkLaQZhUkaVbjZadjiNCVEKVbAb+nl/MYbeGUBTLn70vO6//AFV6c9tqmeK4gFdwQYllv45E/XvWqOJWelvn+RxjNwsj8vjjZFtWO4P4Yw8hiyyfPEsTazyHwpq9s/pCviUkjbYDr++vri9aNlpta52P7PLFs22rcDkf3+/li5RFVf7w5H33tb37Xx4bWJ192X8fsrUu9VyPvq9SxrKkjxAmxFrpIvytbl0PxtiYPsA/QxZ/7QWVqhmvJ1eyJS40OpTqcmnZjkvNTpDkDQl9xLUeFMW2zZ1K2nClAWQbXGIjaQSlYT1sBq9fO/r/AMcd73/g2dMp7PAd+aqJEclDPOcY6pTkaOuYWA7ESGVSS33imk3UhLRXskpt1xD+JX3G2x3aglR0BOwPKelSXDVpQy8+sZi2kRroMxiedQJ5s/8ABw+0fTozMqPk/K2ZI0jvQ07Qc2QGXR3RIUsx6o5SyhBIIQkJcXfbSo8mEcWPoo+N2TYjszMvCTPlIitPmO5PZg/WMJDgUNluQBNbQhaTdp5TiWVEG7m2/wCljHyFQWfZnI7MuGqO7Lfacg1arwCFvrUtd2mJyGVoOsHSWylIukE7DGRakmJHkMtVKplDdQblFx+UuU79j3bim+8khxa2tQQe7VqBAI5bYijjF+0hlYdSpThEmZEE76HU7aaD0rFjiltSu7W2kwpKM07yQNo+MaV+UJlLsx5orU15imNSD9XpRImKkIQltju1FzQ4624pKFqQ04ptCtK1aSkhKgRiQfOEmusZUyqqnPRoqQuoIkvx0LcdDkVTtgW91DvCCEuXsN+mO0HjtScq1aXXqrSaREdm1CEVJgfVkGGmaaZFkxpEtbqGWgp5ImBa/a/vK0ls3IxyE8YWX4j+YWad3iqTHEdTJkNJYMaa8Q3MjobQhJDJcUvTZKgoC4Ud8Vrc9pLzmKrwt/J3bYGuiCo5ikxoSeWhJq7OHOG20YWcVQ4UFT3dlrKTlBghQUOuukD1pv8AGr9ezD3mmpSSW6cyhtuGhkwVPKWtBMlLjSlpcUpJ7wpUSDyG2GB8d+GCqfPiOIbkqcmxBLmF0abSFrUFFsJSEpaOm6DtsCT5md3sn5ey+nLzk15yLWp7khbEiH3JU9S0tgFsobskLUpalW06lle4B62HaG4d0Q0GtMyIkdtuIgopst2ChqSZSSFKjCQmxWSFEJQo2AJubg2ZrXtjXZ4wqyFqsNpXlzBMHpmPh2E1N8V7NbjEMHN6q4tfE0pbYU4J8CSoJUTGRRAOmtQgdm/gGM6Zgh0VLncKklfeOrUfsm2wVLUE6hqVpFwOuHe9qXsT0/I1Dj1mBKkT2QoNPd8gNuJcU13iVt6CpKkqVdCUfeA3PI4ylc4AZi4O1XJuYZUuG01meGK3SnYMtEt1mCpTLbpkIQE6FoQ6FFshaFBNr4dP2tagjN1JotIylUXsy1KU6p5dOpyPbXAAyD7R3UZtakEboUwdm2/GoA4eeJOM71zF8KuLK5P6qc7xV4o5ktIS2opVnWrLkOYKTrAgZtdqqXg7CMJewbGl3Sct9bNIdtSowkqH7OE6HMAtJIj6URAnSDWgocnulmNFmOuElIDRcUpWnnZINyPcm3mMZ5hD0J9SHGH2VggHvHlpUOdxp2PU+EbbemHQ8COJD3CjNbsyr0PvJsZmXDkwpTao0mM4/p1K0vsktPNaUnSUJslSjuFC6PcZc/t5pr8+tNRkRGp8tyWI7Qs20XD/AKtOlI2F7iyQCVKsOmLaRijr10lAYCrJTAUm4DgUlZVOggQYHU8xUTtMNSq1U/3yDcC4DQYbBBS3uXyowRl0hOXX+IGnqdl76Qqv8OatEqKW2KwiJFfhiHUVHS7FdaDXd+1tD2pHdj/U7qSDe98SZdkv6XSI9xNq+Yc3x49IgZhjUuD30Nt19mjLpL7jlOKkW795lxT60ynQ0tyxS42laGyRztZL4d1qvSe4otIq1YfQ2+44zSqfLqCm247PfPOPeysOhltltLjjrjqm0IQgkncY6L/o8voQ6hUY1Hz5xcoyXaDU36Yij5LazAKVNms1B15Cp1ckxmVvRGygMOwYTMkLWsK79TYFhVvGvZJw1iPtTl5bJburq1Nup5CilwtEyIhQAOYSVQfoxHKnvELtV5kexC4UtTbAabzKnwJGUASdB0AqSHt0fSvcP15JnRcvV2LX6hPYIjR6SH1MtPtqbWlUp51DSWo7aNWtIVrUsBGxSccXfHji/LztmOfVp7RS9JIClpSW2tLSAhASLm/hAC1aiDz5nE1f0lHZzoPZ/wA60x7L2X2EUrMNKqMhmjViqvZkjREahDSG330pfS6yZHeoLhcDagClZAuYEqw/reWdwVW9BYAAWA2HK2/S2G7sN7EsJ4SDzVg0tQXKk3DqpWQoheUJiIHqZ38qb3rp1uwDCLj9itUqbDcE6QCFhemn9GtOXFTvqB8zud/fvjGrCQ6hAQQFBXi6dev72xmfZAFKUSTq3sVGwN78uVsXLaCq6TuNC9NvQE/pf979QJOg8/t1qKKSPPT+IyfnWhPvpbBFr7n8fif2PxxjVSVW2bFzyFhuL/1xv2V6KqSuQ+iRSmvZkuBTdTd0hwhpSvsm9BLjlvuEcl2vjPU6jS0OuQUyaKS6mI4p1brS0BKkJWhCHQ3ZtYQR37Y8QWSk8r4FOBO/rWttpTmiRJkikfL6huUWHnsOuLJT9zfr+/XCySKBIDBUpdL0JKUEa7qN1KF0pCNSk8vFyF/UYxU3LBCw0o0/StsqCkr1JRZQtY2GkqO25P8ALFN6g9fwrU5hSkidfhSaJWTZRSLb8lb4uja1wOW4Fvz/AK4y8ikllZQdO39y+nkD09/zxZPI0g+ot+OFIcB2mOU6Un7gpTroROnvqs1bl/TC0ZfY/wDcwtZsB9drbBtvdNOvb42v88I4wk8jbmPmBhbaY2sZOSE76swvKIA3GmnqRf0ASN+nXCPEUy2nzcQn4z91K7NMGeopEUhRKvBcajyO/M/rti4aYUSCG1HpzTb8Ccbjlfh+/UkNyEPIbackmMgLCyoOWJ/g2sN/iQMKKzwVkJecbcmpuiMiVqS0+QUuBZSk2ASLd3z/AMWNT+KMM+BawCEjT4ClLFhcOiWmioSRPkNZHXbypJ4UVzVbR8LgfC/LG9QaavSPs7EkcyN/d1NsXsPJrim23NSQkrQgkhVyVqCR1vbfCj07JQTJSwVLuElRKdkWQQLC++/7ONC8Va2BkbzWxvD3SdW1Zev4RFVMtUJT2xSnYDf4YWzLWQHHrpDJ16kltWn71rXSN/ID4Y2LhzkAvOlKAbpKSk6Sb8vDYc9v3zxLn2V+xfUM4ZipVChaRKq7zLcYPHumGdKe9ecfcWk6UJbSSUJ8arFKbq2xEMXx1LSjqcoBnLrt+RNSrCsDcUQdhzkct6jzp/BB51LT5ZWGltq3DfJaTYJI8R5Dn153tjMK4PvRYb7rjP2wH2bahukX8jy8Pi9Ryx260f6CZiNlpgmvQpdVihclcVmK63HfWEjSy1JWrvLE8ipsJvyFjiIHi12M5KKpOiBlDb7Dj8eWh1xALakD73hUALWtdQFr7+kOe4nhDLyjlQ/MQrUany1mOcVJbGwtrnvE25zra+mMsbb6zNcw2Y8krbBdcSoKI8PQX5W2v067DCVVXLpho1LRdxwg9bpB3F7gHf0tt7jiZ/OHZrfaU/JltBmPEU6hsqJPe92qxCQrZQ23Um+I/c95UZRIekuKKkA6UgJum+o2Sm38IFje/S2JNhuOIKUgLKjMaUzYhg/MCAPz6aUwbMMJTVyq2tQKgLbgbfphIKmxY/E2/H+mHJ55p4W8soHhFxve9ulvhhIp1EuNkHyuR5+fltiyMJ/aJKtQZAg1Cr5ohRCRImJ+uq7diqxBFvn6/HyxnoaSVJANibW/H/hjCIBLvwHPGzREeNJ8gPx/44wcUCNKVtwQdjp9tOz4AU8u1OK0E6i44lCQOqlLToHQAKJIJuLeYx+sv2RqQlvgrkaI4kDRkaksLSoagk/VTaLKSoqCtNut9hbltj8n3s4C9ZhAkJvIZTqJsAO8QL7eRtv/AFx+sr2S2u74QZKbKg4UZPpSSpBJSq1ORYpJ5j+uGC31/WicqSBbJIBA3CFQY6+IwY5nzp74gn9W2Z2AuR9f3bVtXDnKEBWR4EV6LHWgUPuXC2y2yVBLCr6SwGynzukg33BuAQneYMuiPwydfp8ypQHotHdUhceY4pSgFOlSXBKL4cTcWuu6gNgQOa48Obf2VhpGwFNUPUHulgjb3fphKc9Xb4U1OxNxRZNjyP3nf5/PEVatWVWtitTSSHMDuVZsokZmbQoO0zljXceVQiFd8YIH8obBn3mPgahO+l6yLmGicBoTkjOdRr1GnVKgq+p6vBgpeiqVHcV3seqw0sySlrvCO7fafbKSE6gNxDJw9nS05abMRbU5KkEKjJbsthpbCwua68ghxaGyvT3KQLEa1EpxOb9M5LU7wEysk7BxFPcWDYk/6GkAA2POxPmOhBxCFwDjLh0BudJjKUypiTEbSy4lBdW7GfS2kFVkpQCUaidXMgXOLF7LvC48Eqyd01bQZMyEJEkzvl0neNKmeFI0jN4lOLIA2OUmfIVIt2pKEU9nzNjrqm4rEnKdEixw2rvPaXJYhoW0tRUtZKljvL38JIIHKzBfo93plI4T9oWqRwnvqfk2EU3T9m4yVzkvsO7gqS4zqSLg3O3XeZHtd0oR+zTmd1DTOt+iZXj9yh8OezIVJgtOWKmxqQCTuLb8umIrOypREx+CHaTbjk6V5JhBVt7qCqhcE3JBsdxfbE0xkh/iBKiNVWqArnMNmIH5689K27a3C3gN2pClIWl+1EpJSYLyQRIgxGh120rmV4iSWKVJj/V8nXSKk17TECSdcNZt30KQ3c92tl1Vmz/ziNwnY4w8jPMtVNVGUoKAP2NlGyTuBf8AH8eXLGJzDRHHQpJvp02sCdiN7gHqDbkRf3YUeDwjLXDGr5zYnSVO03PlFyq9TghsMOQ6tThMamGQUlxLiJH2RZGxQdRVtYIUYM26l6EgKaQXFHTVJMEmIKvTWOgqNC9dDTZJGQJbA8pAA/PwpBacourbVOUqSS4lLcRomzjiikI1rv8Ad1HYjkbXvid/sJV2g1HtXcIxlqntU2lRMpUzLEtpTofbl1+n5JzAxmCqsOAqQVS5jhLZSoag0sgJ2xBQXVR0OJUg+1LIbbeQ4CWUhag5pSUAd4eQULad7bWxK99Eev2ftAcKVpimUiCzV5hj980ypZYyzXnFd0XToLtlEtBRSDchRsRhK00hASkASByHXnI8t62m/d8II5nxTJ26j6vWu1ibw6jP5UoqI6Uxam1T8oXnRQWJLjlNZZDLLjzOlbjR7oIKHCpAbKklNicPHTKcC29Rsu7SrWB8YHiJsNzqva25F/dhl0XjjQmqHSZE+PVKKh9jKbaDUIQUyHq2wgwWg/CclR+8HepDitSQknnh5qoqFkIWm5WQm+6Vb7bEBNj1BAuDYi2EfB7bf63xII5WTQidAFJGbSecaxvVa3r61BWYRDqTPxHrzr8yT6Sh72ni/wAT33TqU7nqvKWEo7q+l1tAu2RqSPCBc/e3VyxF5OQkg6Ry6eQ2/riUb6Rej+ycVeJEZDhWGM715rU4dbi0+0hxJUo7qV47EnoBiMKpJsSB52Ntr8rYZ+EkJDT8gQLq4937dyPSrfvlfs7fyYb+JaEfWPlWnLYN9z12/fTGEkMfaG+w6Y2Z++21rHGtVNHjB5XH88TVpJkmCB6QKa1OFIHU+aSdh113mhCUg7n4YqFVj4eWMWEk872GMBU6mtbiWWTY7JUQL3ufO9+X4Y3qYTEk+6Pd6fOt6XjA8PxMfGE0o8Ap7xPiA1Eb3HIcz8Afx9cdx3/g8kqEOB9YcmSqhHMfPlUQ0lua+3HU4sxlf6PFbcKS6pZSXglq6xudQGOG3hjlxhdRjmTUDDZOnW/LiyXYl1C+hzu03JVYpTZSCk+LUQm2Oyz6CypVmncM5rtDqMWF7Hm+bUGg9BbfcakvR2xrS73iFLbW34UmUk6PvJSbEmiu2niIYThjt0lKXFpIQlPRxZAQoj94a6gTvU74awx/E0vWdsM77oGRoEZl5fErLJAACepgnTnXSrQ1lMNu1SkyGyuUrW+pt5wjW74UHu03KTpBSQXBsDud4S/pMPpbJ3BCejLFBp0HMOZp0hdR9oqKUN0qk05KWWkQ5bMZ1EiRPfdC1pOtptDXdqWLKBL0OLnaPeyZl2HO+s4vtk9Trzcd2kuSl94t5x6W6A3Uo6V6nCQHSU32CQbAjjq4z8SI+eOM7ub+KlPkHLNZriHZ0ajLXdMCMwiG0iIHXnH2DpYZedj96shbjhS6Te0SsuKgvC8PW4CLj2YPLbbUnMpQ8RISTHUAa6QI0NOmBdj+NPtXWIHD7lVjaOrS8+lHgQtmVqE5gTly6lIIH0ZnSvudfpfuKWa64zKr9ag0ymuute0U3LlMi0iMpgHQ+lZQHpbgWixWlcjQ6WwVN3OFW4tcd8iZry7Ky9Tp0mTPnsImRZMCAtyVEkxFCSVuqWEKOoXRI03IbKlIBWlIMXXaf4e0pnMUqZk6DU4WUnnwaUmqArkmONKVa3bFK9TpJHj1AWTfbZ73Z17PVKpMbLGcW5rtWnyCptdNaYQW2faGnGCl5VyspbJBXfbZNhzxEOI7PAVLw3HXVXCXe9BU0yU+N0nRt0I5giYXonlvraXZ7xRjrzV5geF2LNz7Q3nQLzOQ0hPh71qJWmY/cAJPvrcOx3w3dj1eAmsLmQo03Q5NlNCQW23EPKspMhTKEWeSUvgnvFtpV3bmlfhw376Rj6/o+Ypa26q/MpM6UuRDWpToQ820hKXZKmUhLZbb1IT32gIcJFvEDecLM2bcktUuMxSWu+rK4zSkwaa2ovlK9SJSZRQjQhOpCwHnA2lISBbdNouu3+1XK9BotVWYLrENv6qrYWyhhLcJaQlpURG6nUR1obSokoSVFxwo1HE+4O4FuOIMTcx62w/ubZkrZuG7hCcqy0Ujv0KPMgEGNTOuomtfHeIP4HhxwG8ukC/AYuZt1qUVKUlQcYWgEpRGb9+AYyiZmo9OC/aCocKn1ePmumu15+TTnItIW68p1unO6FIR3XfOH2dpC9DpDKQdKNCALgYUjsK9smLwuzr/AGgl0s1aC5CfguNJcSzIZEhI+3iuuBaUup02VqICknSFeUdeZqWiFLejodLiUlK2HSCNTLl1pVa4A8J5W2sBj7SVAKTp3TqSLE2uL2G9jty6cvjiY8QdmuH3DOIW1y0ss4i13LqErWlKEwdUwQRmn92CD7qqpvF1OsNW0pTClFSwlKVKbJKwlRSNkKOiTIESADUsfFjhVxQ7TfEKq5nyPw2rTsKuuoUxKDHstDjMR2mmnXpeYZLceA4pISn2lbSnXFq0o7qwxLx2V/oDqFQahQHOK4lZtqE6HKnVShUWoswKBTQyY6WY65gcRPqqkhxYf0d1Gc1hGhKU6ivn0KnHqnVbs81TLEv2iTUcgyavGfiRhZTtDmLhyYckrLoPfd9JkNpWLABlvUocsS454z9VqfmbL0qLliq1JlFJrRlsxDTBJYQlVP0PXk1NkBAJTqSVFSgFnnYYgVxfjCrdFhbtqZt7Zptu3KFZ1KQmUjPmJOyRtJOpNKbi6W2fBHiSMyjGY+c7mR9QFbnQeGlAyxlfMuVso5ZpmV6U9Q6jEbj0uPAhw2yaA4wHH+7dC3NSSrW4+txRO6lWVgy8tdGy3lenKhvTEU+PS3WnIj8UMmZT0qcjndTgUlaipN2ytIuNwL4Rer8Xq9Pp+fWDkHNjTLtLfbgSkSstlTwlZdLjqyj68UEJQ44Q0PGpYTc2Phx4oGdZUjL+Q4Eej5lQ+xU8stqlLgQ2G1hLbvtLalGd3SitJKHB/qisAi9hpjzl+/euoCUF0pYdKtATqtJbkDQCAYEiOcU1OhShmWoqE8zImdoOgFc8f/hDFYlVGp8MZUulOU19eX6rdS5MWR7R3lQiKUtBiqWUISdj3hIVyHkOZCSmylX3Ivjow+nZzfPqdfy/GmQpcRNDTPpLKpaIyVuI9oaeFlxZMptZSW0Bw3RpuhICidudecydSj0I/T9+WLi4YWpxhKijKRoREQQANiPqpwuRDaE8xBMRWDO+2K1LYUp8IPItuG9x0Sb9fh7zi4DI04uKS2faQR/8G4m3vT/PEvdXCZG4imxesx5fdTouyJwKydnRNQ/tFXa5RZUScBHTTUUnuXGUxVPF1S6gy6pLutOgBI0238jh6WVuwnwzqNVzVEZzdm5LdCkRfti5lke0pVTmJbi064IQo616CEWVq2T5Yjh4Ix5SZE5Mf2lKkvhRTHSpZ0d1pJXpvZPiF1Lsk3te+HQwalKpbT+hUubKnOKckoaDnex1IZDTbMlCk6dblgW1Anw6QOmILj2Ousv902pvPlT4FAEgnXc8oj3zUy4b4dTctuO94EKaGqcwTr1iRJ18/lFOKzB2A+GcSJQX051zW79cT6ZEKSrLX+jmctSC45/oepIbI8V9QBFiORxRzJ2CeG0GpSYTub81yHI9NXPUW/7NLSqOh9lpPcrMVpCnbrKlJ52G3TDVKpm6fHRF71qoMpakMSO8dAbbjtpVrJUslRUR4tgE2O1+WMRWuMTjsgrQ+8sJb7sLWFJ8HeJV3akq3sFWVvcbeWG1niG+BKk9y5GkJSkifMeXnS9zCmtlPKOmxyRHqjUn8ab52hOHcHLuYJEamPTpNLd7tUCRUPZPbHGxFYW534ifYpWHFmyUgEJtt0w3SQgFKr/r57fv8cOa461VU5FFdUTqSJO5CQSlLUcJuE8th1w3aU3ZtRt0v+BxYGD3Ljtu247otWYqAEAQ4oaD0AqD44whDuVtUpSBtsZTO/OPToOVWbLZHXy/IWwulBaW9lhDbfeFSJs6W6lAupCW4jiS4bfwgDSd+RsAb4RthN7j1SPgAML7khho5be71pToU5UwAglKgS0tAO2xSgEqsbA++1t9+7lQkkz40gb7naNNxrWiyRnKUp5yOnp0860LK2b3qZHjICnC2iYqYA2ElOtF0BRuoEbWuLW52vzw5jJXGrKpj11deXmIz3qZGjUQU+PBdie3NqdDv1l3z6HG4xSuyFRkOL33SDvheIP0ZHE2bwDp3H2HRW3eHbC58ao1NFTjqmxlMyzHExVKUhLyKaheptx9C1KChcI0nZhKsnluI9KXruhjvkC6Qn74SQQeZ8QJAvhguk2dwrxoJXOUnqQddxpqJ1+qpfhl1eWTZLZStCJSpMgxyIVM7Tr7q3iHnVl1hmOiKpJKkBwlQFghxKyR77X87bYU+gVVuTKS6llSAQWx4hcDXzsf+GETyll8ym5b2lxSIaWVOLbSdLYcdDd1KtpHPa/O3LCvZOjte0ISlSgEKKLqG6je1zYWF7eQ57DGN+zasBeVJ0TME7emn1Vkzir7xTAELVMJGg11G0fZUyfYi4EU3MVUcE6Y6wwmP7ShtsBTsgoU0lDSFC+kkqKleEnSm1r746w+zV2dKdQG41XpTaY86npbejyNK1lelN1JVq31KSVJJSRdRV94Wxz+fRX8EKrm+pQafR+7XOcUe6Ic7otNIUhT8h1Vye7bSbmyTqB0jnjt7yH2SHaTRY7LlZflTm2UIcV3KERnlJ0nSUJs4EFSAN1Ha+2+KDafxTE8RvWLFpDqbZJzIdUUpAIJAJBBk8tQCYB0q1by4w3C7W1F04PaLkBaUaqOUjc5QYE6GYA9BNbPkPO+barRPaItLYS53Z0mW8UaxsnWlCUlSSB91J2Ubb2w1LL3Cmmx6zUHazTkqrT8lcipF5tBDi13VcBSVNqa0FOotqKCCSDc2w/zKuc4tMjGJPSiPLiJLbzSEqNwE60rbSkKVpWjcC1xyAvthnPHzOiKzU4zsNSobbYcjiRq7t18KKTYg6VoT4bXVuAdrcsQrGscsWcKZeVeOm+ZdcbctsiktNqBjKFLSG4BOkK29aiPBrjruJ3LDFohDNwCe9SopWEzuMpkiNRFRk/SYcEsqOx4T9Fo7EJ2Wy+1JZgBtltbpcZSXu7TYIc6LUEjUDytvjjo7TNJiRKlIgsxFNIjOlpalLAK1o1azY28tvX0x2P9pjLXs8Se87OUsrDqwt1zvS0sd3tqKiUpVzsLA7HfHIv2wno0quTZCnUPIXINw0kiy0JKV3I0mx5g9fPniTcLY463ctIdAVnaacyg6JMCdRprvG+0xFTe+wpkWi0tK7zIstlxRkmJCtT4jrpPPlUXeckgatDbabarAkEm3Xne3Ukbc97ckcluKUCrYgDmmyh8tgfww9KhZ4y/QZzk6Tk7L2bWwgpFOzEqsmBq3BWpFLq1OeJ3vYulJKU3FtsN34m8T4NbeC2cr5cy2lu7aI2Xo09iOQo31LE+oVF5S0iwC++HuuduisD4gWYAQQCRqeWpEzHLcGqvvrBpBAJAhKuU6kaHp+fWkH9mIULH0v1vjMQ2HA4kXvyPTlffFk+CLKBFuXn8vXGXpjF3Em55Xsb2/CxxIAdhUOQMsx0+2nY8BJPc1OG6oa0oebWUf3khdyD77ADyt5Y/U+7CXEqozOCfD6W/lmpstv5Opih3L1NkWbFORpWUNyGlJ7wDUlJBIvuL4/LC4FtqNRiJGm6nWxa3P7RNrG3oQbefrj9XnsBMf/cM4bNWsf7FUYFB3FxBQAm/O18RtxguG/DZU26LUkmRlUkdREyBtBFSHiBaRhdsnKTFykg+o+dK5whziibk6HOECoRWlxpYLD8dAkJQ0480q7LTzhsQklOlRJTvthEOIHEOmyOEk+SH3IcV2lPhMyZDmNshHevNFToaZWttGtB8awlATpUpQucOF4M05TeVo7DydDiHKi2U9Qky5aQATv8AdIF/M+RwlFWojY4Q1KE0AW0UWqoAWAfuuylDVYAX8Zt5WHliLWbLv6uw2XfEeHnSkRoctraaHbrUERCn1BQ09pbj1iag4+lf4vZfr3BHLEKl1SM9KhijGRGeRIiSFodhPpS6yJkdlLrYWjUC2VBSbFN7C8bfZhoseo5cp0qc+sMNiQiKHZCGmfbEpcWFJatrcUkIUUgmwAG2JSPpd4JHZp4dSwUlaHqCwUWv3mqmzVjf/WDSphNghSb3Ok3xFp2OMzwJsCjs1JaIbdFZrM5KUtha5L66ZNYYaX3qAhCC6+h5SwkqujSB4iRbfZXZKKn5SpeZluTyK0IBEabHpM+dSyxv7Zotl11Ler+VKiBOvXlpO+lTKduoGB2bK9MMj7SVFyK0htQQkPo9qp6FhCee+lTi1AWKr88RPdk5SV8Gu0u6m6CclQ1EA+HnUPEB78SD9vnifHqfZzqkCO7DLbTeR/a1l5SpLgakQUoEVKGVIB74falxabpKh1KhHD2R5Gvgh2lCP/0IjAe4OTRzxI7pLieIEFQhPcJ35Qg7bR5zPuqre2m9acwC9UhaVINxawUKC9nAdY21/Olc0tWiO6t1XNwAdNgQd7W8/XC5ZRmy3+C/GCmJLKY+Xahw4zvEBa1uu1CRmeLlhba7q8TDcN3WpISTrcG9sJDUHyAEk77aTvcHbmfhhVuEUZMrKXGKEt4oVIyFDlobBJ71VDzRSakbIv4lNoSpwEcrXON9ool11A0CmVtnzBk/Ecqi6rjMwyCEwUNK255Qeo0mmZ1G61JccSfGoPK0gpBU4rUsAHkAomw5AbYmJ+h9hf8A3wnCnYgLg1nvidwG1ZZroUUg7BQuNyN/jiIJt9TjTZWokhKdxsq2rwg7W5W8gB0xMb9E2+8ePXC5MNaEvCk1xxHfsCS2S3lquK0LaS4ytSXChCDocCgAQLE3wlQxClA8k6Hy2+oVsceIDZAT4nFJPoGFudeqQJ10MeddktX4Yw63RYMFwjSDkx7R4VBSadT2yydP8KgECxHUDfbDxHiAlspskIWgJBUCfDbSOZNtt/fhjVNzHXqfljL1XkQaG9JnwsmrWzFZqMPWuYw0mWE95LlJHsjS/sEXCz/zijc2e/NhNlGtCUJJUhSSoGyeoFjZR9ept5YauD2W04xiMSFqZYbPTKVtoJ238RPw3qvMSU4UupkeB1AI86/My+kNBk8UOIb6h9o9nXMLqjvbeYpIt52CQL+e2IxKhG8V7eoJ5bc8St9vdKHOJOfNkXTmuvay0ClsLExQISk/dtYEj1J54jFnx1LdQ2CklS9ITyTZSh4lG2w3uTbkk2xH+E1fya5UvRJuXzKdP9/cnf06e+rjuAtTVmgCXHWWsgiZIQlCRG+8VpVJy/JqUpuHFaU4+8dLaBt7yonYJHUnlfbfGGzplmRTZqoctpTUliyXEbEbjYggbjfb9jC75nyrNynLhvty09+6wJcd6PbW1a+pKr6tSFJsALBJPPCUZmqEyqSnJsxZefdVqW6obkpAAAtZIFvTa52w722JuP3AUhSfZEfsyFLCDmTvBO/noPnVkcQ8LWGD4Q5Z4mh9riQvMvtspUhdocPdRmDneBvMX53bCx3YjMDmEJuYatKue46e7bpjSJ8EtvlSRZaSCAQeQSkn8NweovtvhZGkhewGkDw2sPve/nbli/ouXY02ewzKfTFaVIaDksoLiY7a1IS644kWKkBBKlC4JAte3J9uLwNoUqJSkE5W5USBsExM1Vlsla4TA5AQY0OgkmRPXT3Vr2W6kj2pqOzUJCqdJLS3Yi9S0sAFPeXStIHgupbaiQsnYKAtjtE7A/FnhNwz4VVSq1Ot0deUabKekrq8uqqjzptSeLCXaZBix7P1N0lSkORGmHTGX9mtSL2PIZxXyfSqVVZsOj1Rmp0iG433NUjNltNQQUBdmE3FghxRTcEkBFiSq+E9qObahMjRact95NNgqfXBglxSo8Z2WpKpbzSL+B2StKVPLFlrKUgmyQMVDxTwk1xIm1eWtxDLLxcWwWiEuEEABwEEkAaiFJM1Y3D+MnCEXrZZm6dZQ2h5twlduFkeNK0FJTvr191TvdtL6Umi8Rs5ttUSNIpuSaZTlU+E66lXtc2R7SXxLdbCG1R4iEqDLLIT3pF1OeInDaMpZ/mzqizXcp0NOaxlJxnMtXakwTMpkSnxFKHeVJhxSVezkqKXBt4tJN7DEdXCvhLmXOlYjZfyvR6hX6xLS4qPTKXHXIlutsjW4sDYIbSixLrjiUg31KGrfos4Q/RK1XLGRcwCtZirdFzxWqfKogy3S3Fw4oclRkSI8atPIS4qdGYKtT6W0eyBarB3Vua648w/CsMaS6pUKaUlhOZC0oQiRKjBSQEg/wAW2kGurOzj9JPG7Dha74TtmbZ9pTFyVXDyktuEOpUXVqzq8ayklKFRqSJBNRFcVu2QzWMq1ChPUaKibLklbUhtemNBaW93pagwyk906HAE+F7dHTw2wmnZ27TObqM7SYMGW+1TXZ0Rp9kJaWENuSWg+W1KQVMWSpQK0WKVcr41ukdn1ULNdNo2eJEnKsCVJKZtTqMGTeHHDTykSRHKUPutuOtpbBQP49VwBfExfZm7P2UKXQ4U1iJDqy5ZcP1i+ylXepTIUlCm2nkrS0hTbSHdx3iTbfbEf4kx3AMBwtPcWSb5NypL+cKWtHfFOZSk+KQdBOpEAQJJNUpwjZ49xBirDFhdexv29otK3ES1+yClQkqQQVAFSjm21pzPElpzLScv19qq0tMarR3Is5iE4G3UU99IdKXSlQdfaCnFakaSXHysG9gTjadwUy1nnI+e6tWcyRqVJodP7+iUeW2yRMVvqkyEPONPLccuhLEaMFKbI1vpAsce+NPB6ksQ5cWGWwuTSfbY4YXqU2+/3gbb/wCcvdxCXO5UUJN7WBJGEqr+ZL0GEK40mA5LiR0ewrLSnZUlTaUPu90xu0hRSFR4iVl5aSouK7oWV1P2IcPYjxZwK6hOKuYWLu6D9u42ACltDiQWpyk5F5hmk8tCDtU3bPbjCuIXLJ1tSrtm3t/bHVvl72h9STLoJlUCCBrAzRvXPvxtyJHp9MqEt5CkyUVFbkd7T/rmCvuW2xvu0pBLiSm+kC18NtpL5ISOWjToUofeCSL3+Hz/ABxIn9IrRlR2qR3bSmUONLmvtW0KZjIs1GS4gAJQp1S9YbASbAFW97xi5cqOsiO8d0WCHCbC6gCU+4nmfliUcT4ELBXsqll0tJCO9IgrWEiVa6wTt5U1YTe5wlcQOQ1HXffpUvH0X/afXw8z9KblOPqoebMs1PK8+C2qQUuzZQirpj6GmFIJeS4ytKVi/wB9IvvYdq83jKxNzLAY+pczxAKFmIvl2jzGVLeS5SihxtS3N0pGrdtR28rkY/OGor8pqRFkRCRKhyI0xje6e9iPNyWwQnxEKW2EqAO4JBNjjtTRx7ZzzJ4fZhAqTceZkKTU58dFPrD4RUZbVLXKgxe4guDvGVocSTqVHcA2WSFE83dolu02lqXWkqX4EoUrItRzAgSZBMqPLpUrvbrNkIjUAfOKkuqef48iBLhxaRmNblR0wphjU2an2K+XEuNvvOqAU0laS3buwLpcCgq5xGd9Ir9INmfhpDyJk3KqmqM5UaFHqsmuVWBJen09cCT3TBitq9ojuxZH2qXVrYdfSU+EC5JXCkca6brz9DjO1uPSo0OBInTG6RWnKlHEbIMJau4aFMUWwZbakPhTiFJZupJSCCOeX6Ubis1XXeF8dKJPtFKyGtqVJkQ6lGcn+3VNx2FKaTORdcRLCLNlCQoOpfBtcFUa4ZU5a3qGmzlLzJDkEKgpVtMazzMCegFbmMpUlChKcwJB5xrTP+1Bxwn55RIqVWrLNcnu1NmQ/LjxFwW0vSUSEvamlssJPeFpKtDTYCVAKINhZjchIIA5EDf37426TO/8mTEL+8ajDWCLhKfBKAsFJ6jfpzNtzfCfPSLq5n4YvaxZy6HnrP8AZSq7KSTlEAcuQr13HPfF1S43+kpG/iSoAi+xNhf54tg/+HM+eM3lp8KloI5WPMb7bnbpt1G4tcb2wPyAvUkZVRPWKbmozAHmQPmK6JvoJ41UgKzkpmk1iu0tOaIkeY5S6WxPZYlLoRKVyCSlZSlhNksX7tRs4oagLdLtCzWw0xmCY/kDMTCGXn3Y5/s3DU9KRZtLSktmRr1pSNakGyUp5W6c/P0CPF+k5bo/FdE1yWh2VmKkyYbUSl1CoNOOKo/syW3HYMGX3V3ylJH3wDqSlW+Js8rdoyBV6PnuV9W1pC4YqqZlOTl6uIlLDVOKXkQ3VUsIdkqcbKWG/swdYJUFKOKD4wJTiZdSVqczMt5QdMpb5+GdDPOBFODrim1lKFKAKUzBifhSOdu7i/TP+Q3PzcbJOZkrlZVkwhKk5QjJj0lyU0wRInvuud5HYGtShJa1lsfc8xwWz6sG2laHkgFRCNBCkhJvuCUpUrpud/TbHbf9IfxIpsDgFUZVMolagvZjoESnSWp9Gq6HW2ER2Sh2oqXGUxHSNRJcKwCjcqIvjhwq0BSkltBSohajYXI0khKeXTURp57EWxKOB7RaUO96CCt0EE6+GNvqp1tVBTZO+nOslnaT3sOjL1ax3ctN+pcQUIUs33GoBNr+RwmUtF21b2sn5Xv+/wBMK1xFoiKYIEDvFPezd8FOOMqYUVvNMvLT3Lv2iAkr0gqtrFlp8JACVyfuKSALEAetif5DFt4d/MpHTMP8tW9Ru98ZVpqOmmgEc5+33VTQnmL2Py5DCx0GQW8uMhJNjOlJWLndJHiFhufM9fTCRtNg7nqPhsLYVSkhsZbZCjZQnyz6W0ggXG/v2/njRi4JbRH99R9tbMKhLiQfKPnXaXw7z7mFr6LD6tpeWYdXy85TMy0zMNXVVUwpdAUcwS3TMRBVHKZrLCFIcJQ9crIJTytx0ZhCxTVWjNqBpc1VwshUe8iGgPoTyK297JOw1Ktvjqg7J/GttH0Y3FfL7tOzTUkt1PMURM6FSWl0ajh9dPdSzMqDshKPZ9ZWp5RbLgKjYXN8crFcq6GaTpDT2pylz2EuFBLalKlRHElJFzYJbUFG+yiBuDfEGwh9a7hwqGqLp5sD90hJ0mfny00qYsrAYvY27w+/NqfqrbODMecrLmb3GorDsS9ERLW4Vhxkrqkbuu6CUkKSpZ0KDtvDe1+RzuW5i2pjiQEBSH3QQkAJADiunLYDn6dcYDgrxE9gynnilBiQ47V3MuJS62htTLCYVUjSHFuqJDiA4E6E6RtzJ3xY0ycVyX1C6Sp55SldRrcUrQR8RiQ4ha53HcwB0gD3UzYbcBCG1JJEKPpM+ldDf0Z/a5qfDXMcPMdOMd1URlcZceRq7qRHdLSZCTY3QpaUDu3R9w3UfXtd4Y/SuZQzRTEGmU2pKq5jd+7C0IW20UIHeqS+lwl5ttar2bQpzQNak/et+Z7w74guwWilpzSEJAPTlYdL+7D0eDXafrFImxJ1KqkunSorhW1Iiulp5BUjQsIVunSpClJspChvci4GOdMcs8Yw66u7jCbn2VVygpdgJOYmQlRCgR4dxp9lXnbYTguMW1urEG1G5tUgDKvIVoGuU6GQrb5Cv03eBucKZmWjNV9n2d92eVmS63ZaWnmyW3GTexR3SQElKrEXvbfDQvpD6rRcuUGFWkpQ1UkzdDbMfQ2qQ0pP2ri0b2Q0NJKlWNyLY5I+An0qOd8ruOMUnMcqMH1Lfl96tD6HVq3WstPJcbS6ogErQEEnnthNOPv0n+a83Nvxp9bdltLeUQVaA8bpGoKcGo6Ab2QjQPMdMRp3ii8cwVeCO4S25ckEOYi4hr9stR8To8M5yd402gCKT4B2YO2eLNYmi/bbsW1FaWkrWXEtKnK0vkco00GtOE7SfbxU+w7S0MpQHErMp/vnFOuKUU6ApJOhtDYRpTp++CdXIYgV458QGJi1PpAuXFBZSfvC5ILiR1PK/lfHzipxRXLeW8tYWSgJJBusgHa9jyHy8sNPzLmjvQpxKkrCkkOItufK3+z/AD6HD1wDwa5bpadcCu9yoSSpRVCUxoM07mNfhoafeNOJGV960ylCGytSgEpSBKtZ0A2Gg5HnSeZtratS1tmyDfZIBtf8/wCuEalV1Cv9YuxJAGwF9/cLbDG05jfCda0K8BNig8xe9/3fCOVl5JRqTtbp153/AJY6Ywa1SmBEnn9tc6YxdrCtTIkT6afKKVTuE+WMpCAuLdLYsgtCSLb/ACxmILaFEKA3P7vh7Nakpkj1pz/A55DNShPK20PNG55Ad6lW4x+rT9HZUkyeBXDR65UF5OpCwqwuoezBI3TsNxsnnbH5MeQppaeaIVo+0b3vYjx2uPMjnbblzx2p9kD6TzixkfJ2W+HkLL9NrMGjUyLS6ZNeo9RcqRiNpAa732R3unVJSsXeLSiSBqSbElIxZrCrlwNuOh1gtQhM5SdJ3HLz91SPErJ27sG22gFFu4CiCUiU7EiTPrMQOsV1j8I6uiXl1Ehs3HtVVQDe4CmZ8ttQJJ2KVpNx5A4bvHz0w5wPqVZcebDRo9d+0JGkqanVCME+ZKlNkD1tiHThF22OL1FormW4NAnymJUysyU1OZRJDUll2szpE9wB2QGY4bjuSlNxSpA8CLKO98IZxOzPxzhcNW8i03L1UnZdjIfQ57S222+81PnyJz6pcuKpK3HEyJDiktoSRpPQYYrbDLg2tswbZ7vGbI2Z8GkEBK8us6gIA0G21Rx3hd5pS3nFtoQHUuCFgqKUp8RiOXPanNfSL5ypquCXBaTLetTm6hlyc+hpgydaV0SrJYV3ISrV3bq0q0rGkqFje2IzOz+Wq2uj1ePV11Smw3q0w9GfpLNOUmU1QqhJjpswlIfGtkK0LSbrAuBY4UPMtK4vV/LWXsoVSXAFKy17A7QnV0dgThCp1OfbUQFPAPFpMpTDiHh49YuSRjVMiZIrEKo0+GZUWlxojiZUSPCpgigvyguC85NHeqYQSl5Q1KWdaFqQBqUMdQdmuAu2TJbdbyl0JWM0AjwACJjy0rh7ta4rtrnFVeyXpVltnm0LDoDSSmQrMBtqTynzrfe1pXnpnAF2TJdC5Mio0RnvbBp2QDMZct3bQQ2pmGgWupvw26qxu/Ajs/QKD2YOKmY2cwU2c/nLIi3JEBlwB2jeyKlkNTipZ0rd7xKtRSnkrnbGqdrbLrtR4ZLp0yoQaY7Nkx2YcSNHUY0cQZ/ePuJWXGm0LkpjlbTRUXFLXoUU6cNc7M8iTT+EnaSojkt+S3EyHEcZ75ruFKQ6qUdSWytZSmx2UFkKHIYV47ga3MTVcKSPBbhBjqnn1586jDXGDSOH7yyN5ncVdt3eRRkLbR3KVBJkkqkGEkAazIqAio5ZXcJNQpouDzmMpIJAttfa3vGFv7OGQHZkvNlOMmnWlcMuJbhV7ahX2kDKsypMX8QSAX4jdjc2VpCQSdmT50cKVXSbbWvsOhTY+nInpb8cOW7G1dzdOrS8nZJptDm1/NsDMVPkGsNrfeqNIVQJrknLkFpxwNB2eGi3FLX2rshaGSS24QIhh3d+0LBblZCkg+ZkfVV9Pt3Qabh1oQhuB3cmIT58hp51j+H/AAxafy45Vn38mxqXSVNIn1WqVlXeTpDyW1CLBjoUhbsxvWoKSEezsjSVr1HSNtjV+VE4gZTn0E0RiEqi0lVHixq9IocWW6/HkxZSXavElQahHQ+h5ftfdTG1k2bWO5UrWybiNSMwiVWPaY8aivGqvw5VGhtppsWnzYTaG5UJVKbJYYcYR3etRSrU5rJWpy9vuZoTMalZWcfUmU93MJp5KpCrmOsKUWwkHUhBWlRLosUjYEacZpQ2oLUG/op1B8lHfzVBy9QDTXcv3fe2gLzYl1Wha8vXY7V+h12Rs9mo8GuHkypyYkmYmPQaXIX7eiW2HKfLm0pDUeSVrLwb7hLLa1uOOOpbQt151QCsSp1Rs93dKVXK0pHK+wN9J3F99t7Egb2OOMf6Nrtg8HMp5Dy5DzXxKzjCrMSTUS9lSFlWXU8vURhiuzJUSNCno1plKWjQ6l0eNrUpIPi36tOBXa9yJxQguS8oVh2emEuMuQ1NiPU2clt26Wn1RZAD3dOqbcSHdNtaSkC9iGbBmWk4ncPhAzupbAbQZ8LZS4tXL+96a6kxSHHcPux37iHELQFpWSlkxAIB3ge6dPdX59nbTyDLm8VM7U0SWGXHc4ZiW4FvtrfbSmYtSg6htRushaCAL3TfyxHbn7hjMpM0R3pcJd03QvvmmypHLxJJKh6gm/lzw9Ptv5r77ixxDmxnVNOpzzmNxhbSilSP9MKApKybqBCCCDtf8cR3V2pSJcnvJLzryyo3U4rUefmb/IDFXYBh157RIOW2Dj5U3J/vqydIg5j+HWuwrHHeF08GuW92w4rifIy5Y3yAEtstzCWymZBJyyACNyYNU3MuSndXezYigElAC5aVBKeiUa0q0oTfZIIG+5Jw4XI+SMmzMrTWJkxDeb1zgqmq9qbRTlRA2kKQ4VWaDmoE7m5JsN7YaqkH7UcxcpSnkSTjYKJw0qtR7lSizBZV/q3pDqQef3kIGpy1tibC1xtfD9juD21yhDXfm1yqDqihQSokQYI1kHrofSqow7FsRfeFxcNDFQpAYQXWVOBO4SlBkAFMjY66bVrk7KkmI64l0xWylar6n0FFgvSNJGywQbixvbYDfFv/AGecbUVOuxgtyyI7SX2yXFrKQ3qSlRKU6ragq3kbb4ezlvh5TktPR6nJWFxEMu099xKFrcfSm6XklYKVFDiU6Uq8OnY88IH2hsxxqvChOz2G1ZxgzvZZlTjstsrrVKeZDkUy2GENtIlxHFdwlxltI7pCLkm992F42w84/bBHdBhlRDyjKVFI3z81EeUe6pvxB2RYphWF4ZjTzrDtpf3XdItrfN36cqkkoLaAot7wnUk7ECm75so1QblrjTX4gejL0KQh5otIVYEaNJKQnSRuCevXC29lrsyyeIuaIVDkZnytk6kretVs0Zmq8anU+lxNCnHH20PPNrmvhKSGo7aR3jikpUQlSsah2fuEj+eM20bLDTiESqtUolMbLxIbQ9JXYOOHe4QG1FaTqJIINzjpEz59FzEyZld9vKC4Ob63ESJb1Pq+V40x19RSO+9hfbdT7O0PEWY8oanUDwlIvese0btxwPhhzDbLEXghzEiQyQopSoaElS9EiQYkkeLbrULvWlm6fLOdhvPCU3CQt1PhGYFJPhE/unepjOwlROzFwayrSaRk3iDw/cqE1brlZzRPr9INerM5MdbC3pD7shb0OG4lr/RqaypqKwgg92VFOl6Ne7QvDV5pybG4jZFR7K87EU+isUOWsIqDKI8i7anlLU4Qlox3kpUW1BR3ucfn8VPtC1OhzZMJzKHD5DzLrjLqJGSoJcQtCihxC0vukhSFJKCCi4IIO+Mzlztt5ogSkPR6VkCPpSkaGcg0AtJbSock92VFY/hWSVA4dMQwayxNnOtlt5h9tRCXPEjKuQCTz1MyJka1vYw5xtQe9tUlZ0WQI8J0IA05cp0p8f0qTVdz7nmsw8u0ZFXgZISY7mZqI1JniqRpbbEluRNdbCo7YjlBQ0lrkgq1JCb4jc4GdpjNWWn49ERVGIsVUpqOszw27GiB2Q2HZIbcuWwylK1rKV3PdrSUjEu/Z7+lZynlGhZggZppTztYqb8urMPUWHEajVFc6N3Qgy2dbDcdqPpAaH+kJ7lTiUhJ0pPOhxNzamqVSrVOO2IqJEuVKQ0yB3bIdWpaUIHLQjUUC23dlSbnVcVZ2dcP3D7+K4DfYC1bYLZg/qu6WnR/N9LJmjZUwByOgmaebPHbqwuEPWFy4y4kAFxCymUyTqI1PXYfVXUP23K9ljh5AjsN5vhZork7JsTMaRSg29J9ofTp9iU3EkPx2lOhHfNyn3GwhpYSWLlWGnZB485bflOS58RJqUSM2tc2rz6c49S2XkhOuPSG1IMaHrIaMxn2lbpUhbpQnVbnepXEapN94tTntIRBkw0IdN09xISpKkkgjlrNibqt0O2MNXOI1Smt09lbjQZplMbpUJCW0haITRWtLSnbBx6zjq1anlLURZJJAFupuxtN5wjhLWFi5NyhCnlNqUP5pLj7jgQnadFAkQIOxMTUJ4iadxK6evLq4U7cPmXHCPFPl+RU630iHC9MjIVNzE5Kgvv5itVYr8acxIcFOi2SI77TezCnSUENbmwPRJOOeJsWbcIJBS6j4EG9unXbGfnZnnyI4jOyXlNDYNFxfdgFRVYN30AXJ2SAMa205pbW3bmoKt6Dlvv1/AYc8Rv37xxbt0Q4rMcvkOvkQI0rHAbd1hBQ64XIMNjoCo79Pd5UvmQ6+lp5l9dnHWHG3LKA0LCFIVoWP7pCNKhbcEja98dQXBH6SqiZ5Zg1bMkrLeTpeT6ROorVNVMZg/WkKc3CkRl096WttDjmth5pMPQ2qNrIS453tscwfC7hnLrj8sxJNPjGFS5dVcNRmIiNuMwkXWwwVg99LcNu5jp8TnmMYuJmZUeRLirLY79ptTRCAttLqdrAKFgSDYLsDY288VJxFwTZYq+yu6YU65au96yRplnLmPnOVPwqZW76Fp7skZkwSOmv4efursSyh2w+HjNP4jVCVxAy0Hag06iDB+s4xnzUSMhRaclELfQoomD2d9td0qUCEeI4hZ+kZ4o5bzT/AMmU/LlSiT3ofDimUqtiK8hxyNPh1CdpalJQr7KSW3hdGkFKEoBTtcxTJrSyLaWkq5XDbRuAQRtp2uoAkemKDk8qOrY35qBSL+QsLfC2w6Ab40WvCjDVwm5SgocSSIGoI6HSnfKkayNK2SovA090XuVzIhHqEJkA/hqGNMWseXvxkDN1s93fw6gq/UlN7fv+uMUrriXMpidI91Yr2B+VCn/LcYzOXZITNZ6eI725WSTz/e+Nc03Pl+74yFNTaS1v/Fb5HHlykFMegpM1OYb899Dz5VN99Cb238vcMM/5mpec56KblSu09c1+W4rxIqVNS2YzaG7dyrvmNYSVKSpNrpucLMr6bGpu1irQZaZbFLmZ+zB7NU6RUn6Q0xleQ6/Gp0moxxDnOVltAbjOORnnGGyXS4FJTcHnKjTVMS5mkjmj+EX3CiRc+8j3bYyhzM+rmUE3FiUJNuXS2+wA5/jiN3HDTC3O+LWdZSnxRsADGx1Os/hpTuwppSSTMpPT4fXU1PGv6bXMecsk1Lh/W8td7CnwkQItbgVdUR5pgMNMr9vpy6Y+JbKkIS6ppEhtSgSE6bAGH2tLi05TjUeZErKn1xVB1EWSwG2UKStaFJfTqS4haE6rAJUNgANsa8nNEkKFlN7cvsWtv8vXbr0SNrb4moZollR1rQoA7fYtDbmLFKQdibjc9cKkYZl0Q1lHWDJ+73GtqnUJEJJg+X9lKtx8zHHrFckVGMLx33miybcw3TYLKwNgbIdacQLjobbHGocP+FtTzSqfHpTTbz0GmT6s+l19qMBCp6ELkrQt5SEuLQFpCWknWtSglIudtOmVNclplThBKSbEAJNyQbmwF97/AL52Sqi4006ELWi6FJshZRdJ03T4bXSSASlV0nyw72rJQ2EnQ+fmon7aabs5s+TcpITPXLAn31jXG9CigG+lWm49wO3mDcEeeNzckOtUCIhCC4PbpK3Fk7JBAsLX+fpjRisczuRyvzsOQxui5CVUFKf7kp6/y3x5dmA0CkEBxJV6Cdtp9K1srUkBR0UlOsa1Nn2dPpIMuZe7F3EvgNMXHTmLNeaXanAUlE8vGnyW6f7X360xzCCwIR7lSnwUknUm6tOIaK1mtC6fGY1Nq7pl9AHhNg+60vTpsDf7Pz25YQhxzkR169dtufMfAj8Dj2y8Tsb9OZud+XPfGm3wFtLpdToVuKWRsAVDX5aT8qUMY3kYUkAS5rM6ySD13paMjzkssVA96lslDGhn7vfaH21EAdSDyIxvNPqQuspUCVuKWroQVKJHwtb4i+EIo6NBK1EFXJKee3Q/0tjdXKp3Q5gOHdR9Ty6bc/0xsu7TxK03+zeY+VeWd3lCfeTMRS5UvMi9RYQoeaudzf18vTCu0XNSoiG0JUVOKBKVC3h6kn3Ac+QAw06gzwhtSyr7Um9/j7+WN1RXlNNglR7xQO6uaRvqA/2ht+QxDsRwlLivEmTMa6AjnOnL66mGHY2pA3gjb0E85pzDHFB2IvS28dZuVqH8V9yPiTz8jjWHuJC+8Ssu7kqNr/3jfcAb/LDa3q+VKtrVuT1P6Wxj26ySU77b+Z+G/L97YSp4Ra0/ZTz5aH1I5U6O8ZPFOTvISOUzNOTqmcO9Cl6xvsQPXz/flhJa5U1JWXG1+FVvDfYedx69PhjTF5h0ki9r7c/6emMVUKtcC1yL87j47288O9rgYb2GsR7vdtTLdY2XtVTP1/XWUm1oFJSpIIV1HPGh1ZWptWjyuL4rSZeq9jy5jy+PL97416XK2O9sSKytygJSRz6Hmev41F7x7OTvPu1MUtbbpWq552xulEbI1XB30n3+n7/HGsxoxJAAPx5fL9cb1SkkFKSLHb0/PHkin1tpIPz3pSMptNCTELgUWkyo6nUpAKi2h5ClpBI2JSCL8hfH6B3Zp7Rcmvtx5eUshM1JhDMVp9NPRVJqYr3coShDkiBES0ypYAWttxwIJOnVc4/PzooW2pKk7+Me7mDzFvP8sP5pHaGzh/YCo5Pombcx5XTUprE16VQavMguOimELMdfsspkhDveAEt6VEN2B2ViQYFjvsYdBbzh0pgwDEb77UqQtMkSlM8yYmRAnXYfGv0E6bU+L1TSytnLLdPiupsuO9SIradIUolTrtSqAKAE3JWEk7arJ6bFWckcQJkUMSalSKKdSkJYXWaTFQ4lepCdSWkSrlbie7bBUBqNidscR9C7dGc2Y2WmZubM0znaNTanTJD02t1RxuWifE7hkuD2tTbimmyVgrutKze9zjZWe2pU5DjbqnXHVIVFUlTzzrxHsk724ABwq3WVaTuTsQeoxhdcTlS1ZGiNdwOsbR6DatNzZFSFS+ylBBSchJICvDrJ8z5HXrXTHxK4LVxxmO2OK2Q6C/GivMxFSq43U1FkuM+0vrbjwVl5pSnUItrSEkch0ZJL4ZvRpqJjnaCyhWo0dUJpcBGTq6/DUhbiFx0sBthSe8DxQrvA73bekqUk2xElA7SMxZjJQ4AYsNccd0AgaHnG1quLCxBZTvpF9V1X2tWpfFWU+0pHerSm6RpJv/qysJINxYpuCPIgG2F44vvFEKKnBoBOY6AaafD186qZfYZgQ8ZaYWpSlqUspknvDKiR59JA8qeR2pc51BnhtU6g7IbqC4M2KmDJQw2YqlO1NTL8h5h8IWhmQLltCkBY1pvZQIw3bse51qNa4V9paoy1KekqyDDb+ySlttpppyWhtDSBYJSlI2ThOOPXEz2vhxUqWAlS35lKQpY0XAanB5W/MXO/v3PTG2/R9TUs8GO0spW5/sHGF1WsQX5457Dcaflbphy4bxu4usRIW64ptxCpSVH91J+31+qqn7b+zzCsP4ffetrZhlaF27feNgJORx5IUPLRIjpyqCKu2c2cUrZR6Gx8RHy/TC/9jDP7WWuJOVpqYsSU9InGmR5Mn2kSKS5UmXIn1jSyzLiITUmEr/0Zx9RaSsglJIthBc5PshN0qQPvb6x7/O3P4Y1rJ+Y006s5fqCZAbMLMVIld4laLpSxNYWo/fRyFzcrSAASeWHuwITchWxzGeYjUbQfjSxdw2WmszqRKG9cw/hBA32J0rcpsqg0evVYS+6zY09XqhKXNqj0lMRanXVOPPSGG1NSJMlK19y+lcgtLLaikhNjhP8AOkRT7sN6CgvRkxEpQI0dYipQVlQ7tICtCEJslsa12SkArVzLhc9UTJdfr1DOW0ezuqiVebmyMzVDVoJnonueyKhqcjR5MdyXH+1mMOBbKFlIjuKSVWW1VMYjtxG2mWmkIjICUISAgJ8iLWO25v1ucRjjftaRhFtcYQzZMPOXLouU3iiQ4y2yZUgFP0hOYwZ+lFdgfoy/ocXvHlunGrrERZYfbOhpBSjP3z69YSRrCEQTHmTtTK+HtXUxHUA6oKbdXqG4KfFsLc+n90WxL/8ARz9oOVQuKGWak5WZMWCEtRqq0hSyzJhs+0OttPNIWjvGwtepZspY1HQBzwxPPuQGZMJ+dEbbYlx21uLUkBCX2kJvZQFrqG5B2G+ND4T5kcgzY0pC1IW0tegg6FAhHmNJte9t+ROI5wJxkLpYfbSlL7QKZUkEFKgf4t50jymNqav0j/0dMU4JfLbtx7ZYXfitXhpnSEhRJSNiEx5wQehrXOPmZ2avnXOVTQuzc/Nlels6UL0ll6a+pBQlRKkpUFXsbHnfDV5C0Bz7xN1dQfM8sKjXZSn50x5QN3ZUhZJJN9SnCeZJFzvv0OEyYhLkSW2mhrWsqskEfw3UeZ/uj8sS6yslLe7ttI7y4dhCJABUpUQJIAzE66wJ10Fc3quFZACrwpaCQTsRGbKemvOJjY1t3CusUaJV++q6k+zeIJLiO8Q28N0rWnqAL7AHDosouZInP1Wo+1tsR0yVBqRLdEY6AgLeMFlagLagoq0o33tvbDGadlKRU5EiMzbUdaiVqSkC3QKueZuBbnawOEmqTTkU9wXD9lIWLElSUK6qCSSLgi/kbeWE/FnYxfPMIxN1b1vbuPqtEqTkJFw2AVN5AdkyASRJJ1rqfsN/Sdw3hyyt8JvOHMNxZDFyu5LzqcrrmZOVSO8Pj8BgjUTt1p6XFzjAukQoseKhC5EvvnGiR42YQdIjuLAuEKdbIcCbg6eYBw2bJ/EB+LVUViYx7UptStlpUdaXE6TZW4CkA3QroeexOHBV/MPDys8OqPFjway7xUVXJJrFVfc10Z+h/aIhRYrAc0pW2CwlKQ0hV0kqUrVfCvcPKHAi5AzBliVkaVMzVK0VCFWDFUuRTqZGQlbrpacaDjUZGhS1ruWlC/juDaCYYtKLZ5ldo6h1DyrX9vlSp9tJKVPNlHiIO4BMAVVXHfbFcoxQYnZNJYZF6i4trFt39i2tThOjSjBCQYUSOs0zLK/G2LRs0qzPDZqDEtM1ufEMCSxCXEfZUVNracLEkKWlXUBNwpQPLExeVvp78xQGnVysq0qbPejoYW6uZLZbdW0PsJLrUZAKZDRWofZOtMOaAVN+IjECWZqG8ZDq0Mr0kk3DekdN7JHh/wBm23I9cWFOybLfjOzWozi2WCA64LFKFeviBvvyF+Yw5Y72LYLxH3LN9h7V6u3altCglZbSEhQIJ8SVJKBKucazUdxzix29u7i7uMiXbl5by8gSlJUuCYyQDyiNI2pbOKvHyHmSszar9TNwJM+fJmTJSZsyU4+9MeXIWotO2aZAW4QEt2AHIADGNpNWaU8w4sEthSVKHUp5ADz1KKRbCQu8Pq4R3go9ULS9KkuGFIDZFvvIV3Y1Jsb6rkefPHpTdZiNIbcjuRUgbKeRoWU3Fz49J0gjn0Puw8jDLZlCGWwhCWUpZQgAJSlQg930JGsJ1MCNqRW12tckmU6x0Plp0pTM7pfk1NpUtsMuOMoAQ2CEpbTcNbWF7psVAc1HDtu1Lwf4S0Hh5lCqZNzsvMGaq1FYOZaMY6EJpDqogckq1tobWgIk646UOhSyk6rr5hSuzX2cKTxE4hUnL+YKymg0x2D3r1QUpjUt1ppKm4kdUgpY9of1KLXeKCD3LguCnHvtudk7h7k/LipVCz/Er+YkZilUlzLzAR37cKOt5tuYru9wbtJ1OEhlaie7Ura9LcWcYMHHcLwwvXzbza+87thpSrdxBUUDOtKVBIBSfpKSAANd6VOTG0ESSnUGAAZj7ai/4ccH6pmCl5mqEBtlyPl2kpqVR76XHjuNxVOKbQWG33EKlOFQsW2NawN1ACxwkghL1GwV4fRWm3T+Gxv6Ej1w93hXkP2SlzDJaSVuxkKUkpNyjVbSQfvDa5Sb2ULgA3vn4sHLMJC3KjHYbS4gIQe7JvpJ1WCRfUQdr+V74684E4LRi161aXOIs4e08o95eXAzNs5d/DBGadNdB5aVCH+JwhSwlHeQsISAfWdt9vX5VHo42UqIULHkQQR19QD8sXtGoplSNIKkCxOobpHw52vsfljbeIbkNVRfMEAR+9X3dv7l7J+WMlw5pLkuQGmQVOKUE6bEjSVczb3Yi/FWGIsry5tbe4bu0sOqaQ+0PA8BAC0jlM68pqY4Xd98UKWMiVCSP4Y8zWMQn2dtUdy5Q2pSe8Rcm6etvLqNrY1qWlIlNuBxWg6PHzKEgjUvT103votvyAxIJlzg3CYU45LSl9zvDqSU3Qk9Qfduenr1xhq9w8pAQs+ys3LihskciLDmAB8OeI83hbhOcuZSdCmNp9BTh7S3nWG0+IR4wTqBMzHTl5k6b0wOoVuSHnA1K71sKUEudwlpSgNioIUNQHqcYddUkBQUXVqAUCQLDlv/AAgc7Ww5PNvCWMplciIFoeB/1QJSghIvptawJ5Dz9cNvnRSy4ppxBStJ8STe48ri21/XGdxhpa38Q6xS21vQ4ISYI6n7DW7IzUhpLROpQWjUvSL6VeSv1tjORqy06EqFiVW22Ch1vbCT7aQPLkMZiluEOJsfT8TbphpcaSNvr+unMXUFI3gQeY+VKmh9KgdPTF3SUlUluw68+fIE/mLYwmXID02Slhm4UPvf7JPPltcbgnY4e7kXJkATKZHVHQtTzzbF1puVLUhe9hYkXA6bXxqVYqWCQoZRGn4jzrS/iQQFEaKA2+4UxJ160uYFA3ugA/A9MXCJLYNjzFh+zjeOOzbVHzE8iKxHUlSPEFJUUjfTdOlQ6G457+mEur0ylju1wluL8CApBSQNZstSSm2q3efLbljD2dY0BnTlPpWdldBbalFWXy09/L3RWwk7agNr2v0391zt1vYeuMXLJG+km4uCOX799v5K7k6mPToalS4NFbaebSE91CWl6yR4VpdD1kLV6Nm55AYUmPlemNtWLDKiOZIJUT0J+8APwwrawl86rOVPqftpK9i7DehWVGdYM/VTVI6gNlH71+fS388U6iyC0qxCue/TmMOwOSKbKQUmMhJH8Tfh0jzNiCOW3lY4QbiLk1VLbDiCpUdfhBJBKet1G354zcwxaEg7jrvoNffWy3xZpwHLPqZ+2k5Vso+/9BjZ0q/8inyVLX//AC041Bt7Vc8wTsRuDsMbV3gND90xy1vPu07G3oD+GGu6SITHU0qL2ZKsvIfH0pM1KJI8sZSF41XI8Kdzva/pjCpGo2B+flv+mMzFta3QbqP72wuCoM00oHy+ytjjP93qcVYJH3b8vQjz8sEeSVuFbhIHMdArrsPUY11+cXTpGyE2JAAAHxA6+p3xkGD3igNtAHO/4WPL88ayAdTTpbr09NB9tbxSpn33HNhsEp33AIHK3PbF5UKrdNr9B1/pjUzKCRYK5DzHTGOXLK773HywgVZ5iTI/PupWHI2IHwrYI086trdQb+npj17UQAetzawHU41hmUAdjv6fv1xVXL226YVG1IAg6QDvz51r883z/GtiVNNh7/35YtHZxJte378sYUy9hfbGOelKv4ep3P8AL+uPEtidvnWRWBqfd61m1yrE6f099/0xjJTxXueW/wDTFl3p3354pLUQk+uFY9PfSfvpBM+Y25bfdTuqcFKPK1sbjEaIWFK/DGDp0NST4ue/X9+mNujJF0p87D+eI0lPpU2LCVabelKJlJQ9oYH+Mke/QbfMXwsqHljYLWBvyWoc+fIjpt7sJBlVATIaG1wSR/ukfmR+OFbHX99BijO1hak3dqAoj+THYx/vq6+wf9zew1lXDfEHeNNuxjjcFxtKyB7BbaSoHSdaufa3f/hXT/8AKL/62PQmvDk66Pc64P8A+7FrgxVAfX/Gr+sa+jP6ptf8Gt/+pb/8NZFNYlj7sqSn/ZkPD4bLxUFenDlNmD3Snx+TmMVgwd+v+Nf9Y/fWP6ntP8Ftv+oa/wDDWUXW5qhpVLlKT1SqS+QfIkFwi4O4Pni9p2barDZkx4lTqEWPNbDUxiPNkssy2hezclpt1KH2xc2Q6FJFzYY17BjJN04DIcWD1C1A/GZrW5gNitOVVlaqSSCUm3ZIkGQYKIkEAjoauFS3TzccPvWs/mcUy8s7FSiOdio2/PFPBg9qd37xc9cxn4zW39T2n+C23/UNf+GvaHFJOpClIURYqQopJHkSDcj0O2NkyvUVCoxS844ppKlFYK1EaQ2s8ibWBAO+3wxrGMDmae9Fgy5EdxTTzLC1oWk2Kei7H1QVJPocOGCtl++s2l5lB26t2iJ1IceQkj3zFR3jW7YwvAsZvg02hFjhOJXqkoQlIi1snnzokdG40ExpTiM35/iNQJEZgrXJlMux22kJ1r0KT/rSlFyL7gXF/L1SnKmRp5pq6knu2mkBxxLCwpLziEJIVubBB8PI+eFY4Y0SPFpMeSrS7KmsNSXn1XU59qgONp1rKlfZ6iPDpTffG4yoPfR5EZt5TYfaUgJFgErWDZX+yqxB91za+LrxrHrWxxK6bwZC7K3K2kJ75QcUkDQjmgEmNdxtpXAWIdkNxx/huFXvF4S4U2zjrNnaDJlL6VNsvEpygoSyEpUAdSmRypgUuOhaioIWCta18rgXSq97Dax/EY0hxmntwpLrsp5iooeaEVlpF0PN6yHStaRdKgDbcgkb78g5akUhyU0tmJHHtTDrzLjp3aOklKlXtY+G9gDfbbFlnHhbSXIaH2+7jyI4ZZcSyB9odQ75TgUr76gSbpvvbpjrHjXBrC2tcAZwa+dxXE8Qatbm89jSVmwcdCEd28oeFoJJClq0SEyqvk/2edg2KXlxxPdu4am3w3ChfotDeqDSLpprvAFMKc/nVtpTISNZAHKmRNVt1pxwxi+HnCptIZ1lxSlKATpCd1EqUBa25UAN8avMhFxouLQ7cur1FYOoKGygq/8AGDe4535jChZsiGl1B5UF0hcR1D0d5KglaVJUlaNhdIKFpChsd0jyxWRnNEiluMS2A8tTy3Uu69JS4vxOOHSApalKNzfa/O2LbRwwW8WucHxfElezs+0vWvcrLjCrpapbWAmTmcAHI7Vx5drte5eeaB9q9oCQmQA2g+KB13I0BGlJzk3Mf1TUY05sEuRJDMhkOp1o7xh1DiNaDstBUgXQdlC4OxxIHmHtn1zO9ajVGpS0Ul5NKeoynKWn2Ft6E/rLrLwStZKX+8KFJJ0JQAlIAxGm7YvBKgqxWBtuNJPofPEyXYb7GGWs85WqtVq1UeiyI75iMJjlpHsw7gOmXK7wHS2VL0D7qRoJ1DfFMYzjVpgDrWJ3NqLpvC7pB7tSO8DxcXCe8SBOWR4wRJnyMNnFF/ZW1ui8xBS0pYSlKcniJU9ASYHIK3056UrfCOmcJarkWbDqMCI3XW0KRNqj7jYdS4Fuqakw3VrCw0htQS4whBC1Ak3ubw/uT2W62Wwt9yktz2+/bYcDKZMVt8BwhIUlKXHIiVIQtXJSgbXxiOI7cmnVObDjyVPsMy5MdtxvVpdSy6tpKwU+H7QJuOm/ljSKNniTBalRglK0y0pQ73qUqcT0OlRBKT6+Q92GrCsIQ7xFiGN3F3cWdvigcdTZ2+YtsKuEeFlpIgIaSCIGkdKesKsGGLFfcreuHropcPeqH7Bsp8IbB1SSDMdeh2lyn8M+HHEpNOo3D6i5sbzC9WdcsPSnqnGjUNuEA5/oza1uFxElsPuWtqSpKBcrNvHbO4GZC4V5Il5egxIuZqtWZsSbSM6rdXHn0pmEhs1OiOU5GttTaio6ZCQBqLjKklbRJjn4F9q/N/DKqyqvlGpOUyfKjrhSHgyw+lyKpQX3ZS+24jUCkKSvQFpUApKhYYSfiRxdrOZ5DsqqTZMx5x111S5Clu+J51Ty/vkkBbjjhKEBCAVWSnninsY7NsSXjrCre6W1gtue+dCrgv3F3d94oqcznIppCUQO7ynURtqHa2S80w0hCgQDBKwSQkkAxvrHOamG7ENfyzCzRFmZpaQuEihOK759oPx48lLjKGZD0dKVFxCUqcCPAd1XABF8KZmrstQOJeasz1TJqGvYIDCqmUSVhlsNttWdXGSUrWhbriS4225psLi42tFbkvie97ChDwbiluGht5wLCNbabFKGxYW1AJKt9Oob9MXau1rUaGmS1RJsqK7IYXFfeivusd6y6my23C2oa0kCxBBB87Ysm24IYQ69iTCw3fpZNu04tAcSUhRWCUnQ6qUCYn5VAuKcNxBeI3F1h94+HVWwaQ0tX8nTObx5RGupmNwBvrTnKpKp66X9UxqSxHqFPZfZlVFpx5yVUluvpKEOsqKm2/Z7lCe5A181JOxDAONIUhlgAkEOqFgbDrcEelrH1Bw7DgLmCTLYfqrpU6+2wmRci9ihxWw5gcyRbDYeNEcvri7C7kp5VrjT4ipVieguTzxYiUHukpbWQstzIkZnT/OGeQVoRPvr3AGSi4KHVJzo7sLzEZe8CVF1Q1/eMQNwAZFNUkJGq6rlR2tb3Yc5wQo8htgz44cJ1FC1Ni4HkL2IF/xxseZOyhV4eQonERx2H9Szqg5T2GkyEmb3zZcBWuPZKe61Nq3Dmu1jpIOHI9iKPGdpMxlbaF6ZaL3QlQB0776dh15gdCdsROyuwovZD3imlEKkHMpWhIBI5HQH0qe+3oebhhYIS8GnFJ2SqJSAeeYHcbc+darn7N79Mp8iWGnELJO5TcKWpI3Bub7X5Ab4Zo7xfqadKnzqS45qKbDlf+XL3Wx0AcZeDVOfymy7HgokIC23nHm4DhKVqUoqaLhuAkDa4SpPlhhOYez3QnYzDy4YDhXoWluO6Cgk22CwlJO/MfDCHFcVW2pJUgp1B0jy3j7al/DeFKcS5kWFHvO6VrsqCZ68z8KbZRqqzUIrb7aj40ainSOe97898N94x0RptTUxI06iGnLJ5naxPry/HE43BDskUiRRUuewqdt3mkLKkXsNkqAGpHoOu2E67SfZco8CgvuKpKW1junQtKnDpAUL2uSL8rD71r25bb3+JkKaCSjYSZj7vurVa4PcJuVbQJEyOsc6gD7xJ5ch5f0xfU+QA4kIQtalEJSkA3KiRYDY+eHQVPhjT0qKkxVJSOd7/rff0536YVXhhwIiOrRUZMcJbQSWQoKuobgKGxGx8/jiONYoh5WiYBJB2FSx3BH2UZlqSAYMcyOun3VqPDeiinxg840Q+/4jqTuE87XIuPIemHB5Am99mChpAItUmbeo0r/LHrPTEGlRUKQNTy1hCWzoOx5qAHQD0uMKJwyymhVRy9KUsJtJafUQL7aFEja/K4HL0GH04kwlC0BMQnprPI/HU1Gl2TylBZj9oSlPlHM1Hx2rWu7zO8nqlpHu3/f54b3Q2Q7LjNkX1uoBHvP7GHadpegqqObZyGgq7TTRIA3APU2BtuofD5N9i5IkxZDTqV2U24lXhO4CVXO5A5AfphqYxFpseNfiIk6Hnp7tqU2dhcKaKkNlSQVT0mTOv50NOfhxAhpCUgJ0AW9wF+lt/S35HDf858QJzc16PHWW0NrCTpBBJ2O/64dpQ8tGdFQ82vXcJ1BKhcKKdwoXBFtybjphI809nmc/OU9EUhSXla1hRBsrkALE+V/TEku8XZcRCFgkcp+6mazwhxLyi6ghMEgxoNt4nz6Ca1/hPxAlTHX40pWohAUlViCRqsoH1ta2FGzy21Jp8hC0/wDNKUnV/CQAdvX0xjchcIH6Q66/LUC6VFCQlPhuCbj4m3ptuRj1xOqjcOC6CtK337tpRfcA8j+e/K3rgZvEKbGY8iIkCIkfZNbH7ZecJbBAmdRpEkke/ambrmhBKASdJVy2643qI4TQ/T2xXzaA3/E/LGhmOdyRvufPnv0xvkJspoRBvb2txQPnZtO37tiL3iQRp/GdeRqSWZKUHNPhTr6n5Vo0VhJuC62g32ubHFzMQhAS2h1Cid/CTvfzI6Yt20qKSUhW/K1/j+WLZxKxY6VX9Qf19MbtM0ecVqS0YBjflpWQ7lNghLidX8VgeW2Mmh5CAUJVewFyBbc3vufxtjCstqSNRBud7dfzxRfdKehF7/jf92xs7mdiD7xW5LuQGQR8/qrIrnHUU/8AG3nj57V4bDn5YxrJB5c/nioMYi3Inb+sK1KcEgQY6+6rxD1je/Qjr1x9cfsqwPPffny/HFmsFOnY8+g6Dy9cZwVxNkBUdtwDbxJuem5IIPyt1wFsjp/WFeoIKokD/GMae+sep+wN+hHpimHgduV/UYupUuO6f/Nwja/hUrTf1B/Q2xhGyfLcHl+XywJbnofStzi58MRHXTyismQPPFo6spvtfpbB3nnsf35Yt1nr52/MYUtiABEf20mXInXSn5MNKJSpJGkjn0Pu9P2cbdT20lST6iw/C+NZitaAlAuQnYfLG4QGOXqB77XF/wB/liINK11PKrOII2j30ouW2h3qFW3vYHy2/f6YUgdf30GE7y4mzjYHK6vknb8ScKIOv76DFE9rZ/ldr/8ALn/vVV9iP7m2f9zfEMxP68bmP+b7avt8GHJdjXKFMzDxd4XUGtQmajSKzxByhS6pT5GruJtPnV6DGlxHghbay0+w4tpwJWklKjZQx2Pdq3sfcIsqcU8pcKuHPZV4a52reaMoVvN3eVvNtWypHjRqJORDfjIWmHVm3nXe9aU2VlkalFJISCsRTAOEXL9h64S820hl5pgpU2+44tx4gNhCGGnFKJUQIAmuk+139Iux4RxfD8Gfwu9v7nEMNv8AFUuMXWFWVrb2mGhS7ty6usWv7BhpLbSFuSXIhJElRArhPwA4/QC7IfYr7MXF7htUc3p7PeWsp1qkzs05Zr1CelyaqKTmXK7jsSoswqxGmNxqpDS+lC4k5ploOpJSttKkKvHp9Hr2TeCjfYuqPGvOHCXLWeszZap/EOtyFVR+dDfq7eXqpUjCguzIzi0x0dww3HDqIjndoCT3blrYfVdmj4UxF5alt+0uL1LoFxlDNuWc+ZJZDmYh4EJyT4VAwYqpm/05cILOJqXw5jzd3hfEOEcMv2CnMIU8vEcZTiZtu6uEYkqyWwlWFuoW97T3ZDrTja1tlShyEYP30/f/AAx2w9n7gpwUqufeHGRuJfZLyFkxfGHKs/NPD2s5ezdPzbEmMUuitZgmw63EVHo8qiuppjra2pB79h2Sr2RJV9o6gzl9HVwSj9t3KPDlnhvl1vJM7gfUcxy8tpTM+r5FcarlZYbqSwqUXfaEMMMtAh0I0NpGjmTiOzZ9TbbiLu3WF3bNmUlu5bW268EKRnbdYQoJyOIXMaoUCmZrcv8ATewlm6urW64exm3XbYDiPESHEXWB31td2GGruGX/AGW6w7Fbu3cc9ptLq0Ke8Hd3Nu6093akGuJ7Bjt3b7NnCbP+Y8y0ngP2RMiZxyzk6sT8t1jiHnLNdSydlmo5ipXdpqFKysywxWqnW24TilR5FXLMaAqQi7SnozrEt7Xe1v2EeHEPsvcWM6Vbs20Dg5xDy1GVGhNRa2MyN/ZVKiJar1DrEKUmO/T5zM19llMiIxJZW081IjoUMeudmtwG33EXTLiGWn3c6Wb0NOBhJKw0+u2SwsmCEkOFKjOUkAkFp+m/hC7zDLF/AcTtLnEr/DLAWz2J8Mrv7NzFnm2bVd7hTGNO4pbpT3iFvocs0u26VID7banEBXFVjGViGZEWUyEd4VxX/Be19LalH8Am/wAMZJPIe7FJ5l1xt9DIJdVFkhNlaTuw5fxdPDffDb2ZWaLjiTh63cQtxt/HcIZcQ2YcWh3ELdCkNnktSVEJPJRBq/v0gny1wDxw6N2+DuJ3B6owS+UPmKyvDzivHj0+PTak4qN7OlLbb4BLa2QAEXUlKiNAFiVAc9r4yFW46w2Y8luOtt91xJTHeQpQ0J1EFS9SE6iLXT5+7CKphIluOU+W+zGTEYIQUhCi5rCLJunqmxuL335YOFnBRNalyO9fcTEjEpWptP2jl76QNX3Ui179SdsfRvtW7DMD4YausWVlurJ/NbFh1QF0xdAi4dcyyYDRAt2pTGVKhqRNfn/7JP01ON8bGE8MYOw1+tGUsWrD5CVl5pLbjQYhakiEl1LhVqqW9d9LTKfHFyniXBTH74S3lOpeQshbbqtRVYgEaCk7jnewGKNdq9VqyFNw4CyhSwomxKzcHe9gTfz5ja2FklcBIVEqcN1Ky9GlKWoayA4hTaQVoOkBKh4gd+XLD6smcQaFFybMysKBTlTJUliQisqQ0JbKGlpUtIu0twrWhIbH2iWwDfQN7wns+7RnsIw6+XgFmyf1kUtXDjqUuu5VJCfApSVQCnxLCIIMiqT/AEm+I+OcLubTBMd9oQ5hziii2tV5W1puFFxa1lgBBEOlIUoqA/eE61EJlfhTPlyNE2OWQ4pWtRvYAc7X6k8tuWFZhcDG4ElkobYksKQ6e7duE7lP3iEm9rmw2vy3w7z6njKLjqCnW0vvmLjwlaVEtpUEgakm9lDy5csWkWY82p1zukanyHCHGdKLqI1MtWK0oQi2xIClX3x2D2EcVsBl5t/C7O4vmHBfIxC7u20OZk93mYQ04CFDKVQmCQCa5ovcCYTYC79uCLg3DVum0CQtXdEfz+YfTQjVJUdBGsmmByOAkoTnZHs7aoiXydLYUAR3g8AGwKQL+LmeXLCvJyDW4rTkfL8x2M1Kj2kx2ZMpqzZJSGlhogLRbmk3Th6ntbC0pT3SblI7xIS1ttv/AAA2HlseeMtR3IMciyEovYKAQhINuR2Gw8hiq8V7Q7dX+yZm4wu1dVidxnYWMgRaKbdUSppJSe8BEAQQIgjalDOEB/IHFJcbISpSSkFJUnY5VTHp59aZNwz4Ky6Y/UHqpRKXXvbaTOhMsVBL5bhy5SUBipMlAuXomhRQLJClL3O3i0ZnsQ1uU4Vpaau4rYXKU6QdgCU8wDY7dOvPEpcGXGcVstQ36pukgbWSBtt08zh0fDSjrmoT3OlPNICtN9hfUNQ/HHOlwp0uKeC1JKvDvAA5ADYbxoByqa2OFWyXu8APiQE5ROkCJiahPg/R21l5BccisLOoEp78DYbX3sOvkPLG1M/RxzdSUoipKlpHhBCkhQAOgqG97lJFhYHnjoupvCuSIhIcjd440S2taULSlZTZOoKb021HyPphPOOZcyflDN2a4yUxmsu0CfWm0OSUyD30KE2QnvtDYIflI8DWk6AQATiN319cJcCAsqClJSY3iesacpqUJs7RKWkkLUSFEqSCQBlJgn8d64x80SlJlSond6RE71lSd9QW26UFJH+HRy9catR4plSGY6WmdT7iWxqUEJClkJBUVbBNzub2F74zcxDjjst14lyVJDkl9fIlbzinLf8AR1225jnyxqIWtsmyrHkDpO1ze4I8remLQsPChlavElCQVJP7wn015jT0qDqQkrfKVAAEga6gaRz/ADy2qZ7si8Ipk7KmeaiI7RZy3RHnJDgX4ApgLdV3awClXhseYG+xvsI+OL8u4hLShKFF1RsByJTvvbzJ6WxOD2LaYml9mHP04o/0uuUSsS+837wRiymIkW/isW3CD63FsQZ8WAq8K/ivI3Njyt+VsSW/uUvIWtlBbbCdEEAEGR1ExHTrVbYe0UYhcgrzEOZiTBmQYkdYmkgq/EaomN9WLdeXDStSkRS86YyXDdOtDBWWUr3N1JQFG9jiQb6OmSJDlSjuMpDLstqOStWgBwtpWbE2SAQb2ve58uUYFYbIeVz2cXyBt94/K2JUuwvll5jLD0wpX30ytF1lSPDdpphtsEWuQCpKrqvsfS4xBLt/ukLKRBVEwNSQAOm/5mrUw+0ZWW0pSGytSVEgAJKiQCo8tBE9B5107cLuHtC+oWoVWcnONFLi22YzCnFNqSPs1NLQ+ggp1XSVgj0ONRq3ZBovtrclFbzEqNJu4+H4kV1SkLXdLZW47c2SCkgW2sbA74T3hXxQr0Olxm5kFcxhIWAvWsK0FNkgqSobj7oubnywsGZ+Oi248QNwVa3AdKA6shBSbfdKwTY257Edd8MWJXyMqVKSDoJkbnTT8+VOGDYTdMuKQ0Sc114ykzsDqdTGh5UqM7hzQ6bFFNpbbojRoyXUsOx2wnX946lJWu61G/hJI33FhhjHazpFFn5Wqi3KJIh1JuMGWZcRSG23Byu8yhYQSRsVFGo9DttIrwZlVOpU6ZPnrDjj6SWklhF2UoRp0hRKiQB/LnhovbDlst5cmILepbi0Ngpb0klWkEHfpzHPfEWusUkEARM6ARA9SPqqXYZhyluEKXKhuc3PPrz8q5zstcFZtZmiKiM662FFbilGw0JCiAbfxKAsbnDjp/Dd+lwwj6tDceO1vdelISLAqPUEEnfrcbYfLwJy5GFIekBjSt1QK3LALuUq2vblaw+HMYus8ZKhTWnWHtQQ6nTbXa4vf+FXv6eWPcKScpUZJIJT6n66fOIUlbvdA5UN5QZMAiJI9J9DUAefHptRqal+x2ZSru202UU6AoXuobAkjncbbYfZlimzINPpTiKY2SG0LQtOoFJCQOiiT0NjcfC+F7mdnrL6FKKIzijqBAUpRBt6723v1+GFR+pIbUSGwI+kNpKAAkq2GkblQ/TkcLe9eQVlaRsNAJEdTpTbehtXsrTJIhYzKOk9Rvt9lQ+54oU1Oa5klyBLU1LitpDjENL51JO+ptTzahsm2NZayQ/LkBtFKqDjrq9Dbaqf3epxarDk+sAEHkTz+OJtaNwWo1Ylh52OS8OewTfmQL3Nj02TYj44TnInDJv+2aorTHdpjvrKQVgpu2PCdk3tcHp64gfEeM90pBCSSYRuJTBO+nOan/B+DSwtsGdVLOoO5OhmelInw/7NZpcQPyIc2NKU0hamHGEJF1oBCQkkpUb7X6jGn5ucptLeQ3IQ2y4SApsxghwH/F3O29rWsPO+Jg835bktMuLUlIS2wrSCUqSShOxBU3qI22t8LYg6z/Hel12U6+NSva1D+G1gpQFhttb3YbMOx5zvfEqUg7eX3U/vcPpcbMZR4FEnTxZSJHu3gRtWBdaj1LvVwxqSVrslPO+oi9lC4G23LlhsHFfhBKdaclMJeU43upJupKk3I8IA8PwsOmHK5BYcYrqEJBU0tbqHG0jndagnlbr6fHDtpuRXZcZ1HsqQHEAg2sbG5tuNgfPFj4difepIIiAdfdpyqr8Yw4MqQpBBmdo5Ex8qgI/svI1W7pZI52TyIPIjGWnwFR6QGnUKQRIccFxzGgJHwNiR8MO2zDkdcaqzIqGfuvrSSOgOq4G25SdNvMX5YRHjHS1R2WEFJSQ3qO1uSbE+/Hib4qcS0NgqfWfz+FbLyxIty7MSkT5/masuDPD+PV6RIlvIcKmZrjSVIYWsKHdpVo1INgQCCLp+eMvW+DLizdqNIUL+EhlQ6eVtug/LDjexrlRcvJUuYEeBNfmtFQF1akQ4agkAX/hcuL+Z9MOxboaRYLUGwUC3e+D8gbEczcYjGN4+6xdPITHgUiBImCDJMjnH55zThjhtFzatuKE6JkjcyNvzyqI97hJPSQFRnwfLunCfwCTbHmFwXqD5t7PIBUbAhldtth95It+OJmaDlenKWjvnGHFKUQCl5tQPu2ST5c774UOk8NIch9JsqOyHO7Ku+OjWpXhBv4QD0vsB5YZrnjR9KZges7fKpI1wHbuOAFJjmCDrUL1D7O015wIWxJtexV3KlAW9Be/wGFronY4fl6Qy084ojUf9HXtYXtYC/l+WJ9OH3Z9hyWwlma228m10OqQAU9bLbWL+lyL8+WJLuCXZYjpbS44WVOI0KQptGhxwAAEJKg5qTe2+3uxDb7tAuSohLkTIkHNGunhEfnlVmYJ2VWCkpK7ZcHSc32Ecq5MctfR7VCeEERFeJRSFdxIG4/ht3SglQ636YXOnfRD5inN96iM221pCi46tLOxG1taWrnqdvyx3ccFMm0qkwYsd6nxJzbbq3HZTxjIcbWo6PtdLIJS2NyrVe5upJwt3HntzcBeEmXHqxnCtZdZYiMrQIMdTE2e880kaY7MVslwuOKVpSS397YqFsSLh8XmIEA4oWTEmEbfd+GtIsewjALBQaXgz9wc0ZkLAHqfCTy6n0rgoyt9ALnytx+/pcdDybkIPtUbU4djZppbqFuEXAs3qUSRYHEcHbu7Bczgiumwq1WaU9XJrrgdosaaxJqEKOgKBemMR3XFRfGEtpbfDa7qB09MTXfSEf+FAZ8zimflfghQYfC7Lb6HYzmYQhqXm2c2Vj7eG4plMajd40jQFMtOSAHCpK21pCscqmZMxVGqTpVSqc+VUp059yTMmzn3ZUuU+6pS3HpEh5a3HnVqJKlrUpSj1xaeHYM7b5Su/culDcKGVBT1BHPoPOqc4qxjBVofatcKWw7HgUu4zFBGk8hp6R67VglnfHl3kL+Q/PH1Suptimogj02/PEpHl8vzy2qpiTGu/kc3z0mpD4QChcC+53tjaoDRFutv5g/ljXqOSUgKA5nljd4jQFgBc/hz/AJfpiHONhI61albhQkeNsnof0SPn+mN7HX99BjQ6aC2tkH+JxKfxION+Qm5t5/y/Y/pihe1c/wArtfK2P/err7B/3Nz/ANXOIj/y43/+Otqdt2A//wAenBr/APahkX/6y07HZp9Kbw4pU/tA8Ma7nLIPFbOWQ4PDPNlNqLnC2m5ykVCNWZlXZNNYkzsmyqfMaaW33y3Yjs5DbyClbsd9lC9PC4ml5tyXLy5mQQ6/liY57FmTKdZehVCkuSEx3mpEGtUKY+0wJbTT4adjz4TjrIWELQ4bpu83KX0jfakr9Ri0ig8WeLlbq05TiIVKpFbrtTqUtbTS33ERYMIvyn1IZaddWGmllDTa1qshKlBq4Z4jYs7S4srhh5a37m2eQEttuCWSFJQtp1SM4WcunMHSrZ7dOxTE+JcfwnifCMWw61tsLwPG8JuFPXt3ZuhOIJeZfubbELJl/wBmXaJUs96R+zdbIUBlVHax9FZkXNOXci8T6W/lvNuUOF7VdqTnB7Luf2Y0fOdOy3IpCn6sKmy0pctuE/WnHX6U3VluVRttchMl54BDimGdgHLlRrH0bOcaTSIE2qVSo5Y4uQ6fTabFfnT50t+pVdtiNEhxW3ZMmQ8tQQ2yw044tRASknHOBlDtsdrzNcuo0agZ/wCN2ZJ8Ft0ValUaTmqrzYTId9ke+sIdPakSIraX1GM77Q21pfPcqs4SkYXL3EvtYcIcpiJT5fG3hzkqlvKc7tVOzhlzLsB+pzQVLL8mFFgxVTZ8lKbLcSXpLyQjW44lGJanji3ysFNpfqt2LHELRbhQ1mBu1srBSEnu0NshpSEokBtAbRMJmudrn9FPFy5iibjiPhNrFsU4s4Q4jZtU3F4kLOAWmKsFu475Cr24vcVcxFi5euwhSru5VdXCgFupSehLsy8HpkTPXAWqcFeF3G/KOdKQvL1F4zZi4nwczRciuZC+rYozvTIX9tajPeROkzWQ7l2PlluCww6yltLLaXY4bkEz+bfSJ5HPl2dKp/8AWGv446M6/SF9qzLchiHmDinxgoMuTDYqEaJWqvmGlSn6fJ1+yzmY88R3XIcnu3O4ktpUw9oV3bi9KrJ3F7T/AGhKtVpHFeNnDidUarlmmt5emcQGJFblroNJnPLeZpE3MDKHGafFmSZDi0RpMppDz7xKL94SU7PHdoyhDLdtdS3e214tAbZabQm1CQsIZbUcq1pSFOLM5lCVECAHvFP0T8fxJ+5xG8x3h/urvhnGuHrS7N5iWIXdw7jbrqrdd1iV20g3Nvbv3BYsmGkp7lgpZZS4tRUrsq7JvEjMfZPolT4PZ54Y8SMy5WpOZ8y1DIHELh7lyXniDX8vV2ryaxEjZhjU4pqVHzHEXNXHlpkRXIrq06WpLrbTUmaoH0hHHao8Q+yHxvr03ImbeH8ZFPRDpFPztFjU6u1amt1HLryK27SWH5LlKjypEiRHjxJjomWiKeeaZDwbHGJQPpKe07VZsSm0zjBxVqNRnyGokGBAzBWZs2ZKkLDbEaJFjLckSJDzikttMMtuOOLIShJUQDdV7tI9qfiKutcNJ+Z+MmcJL6Fw8wZHWcy1WZojvtl2NV6D3LktlLElDZdTMjtd04hOsBSbBWO0lk2rtmy1eqt1W71rbtFq3JR3jSkNoU6hWZaWQRlSEJcKEjOpyKYHf0Kr9OP2HEeJ4hwuxi1vjGHcQYzfN32LIFym0v2bq9u2bC4aSxau4g62o3Drrztol5wi3atEwEx0jkMY6rznI0aS+1fvG4zxSAbE3bUkj4gkeR5Y37OvD2v5XnrpOZqJWMu1ZpCXHaXXaZPpFRaQu+hbkKox40lCV6ToUpsJVZWknScaBV6NKqMWVChNl6VIjPIZbSLlaghSiAP9lJPwxXHBi3WcawlSMzbzWK4epBiFIcRdslJgwQUqAOuxFd29vdw092e8bONuNusucGcTKS62tLjS0HA77xJWglKkkagpJBGo0pty6hNL0xSgW1tt98NYGsuL3JOkAHVsRtcgAnC8cMeIFSpK0O+yhAmthK2H9Se+0A2eQBy0+tkmwHLGebW9SYceBV8nTpT7SW5K3QUMNSlt+BCLpBcUm1gvz640ChZezfmnMvfx6RKQkAtojts/Yw4gF0tpI2JHIqvc+Lpj6J4wy9foW3dOKuG1yVl1wuKWpUZ5J/iOv0Zkb1+RTs+41ueHMXYxnDLgMXlo5nZWACArzB0I8usUrta4pS6jMacdQ2kR1KSy02k6ElQBcUSSSVEIA5bW2542x9bkGNAm/WTTxmFtK2m0JKmgtAUogJUT4DZKgoctrY9Q+zxmFtwFdPkgi5IDe5ukje49cWyeBVdYcQTAmiy97NmxPIndR91gB89om1w+bRdibVZaYt7lt5y3CsyHglaVFtWxCVJBB0MgkVfj/b/aY9cY9iXFtorFsSvcNNvYXXfONC0ePhS93aFFC40EFCAAJJIEG0Zzs8A+Qb6dWg6SgKsbBWm5sTv0/HFwnPb/AHGpRsdZBFufK1h8+e/pjJo4N12z3+gzT4d7NdCb4tjwkrZaSn2GWftLkhpV7W63G9h5YmOLYyt99bjbSLdKyFFtmRrEfSEE7dK5padt0oCVLkhZKdhCFKJA32HL6htXuNnpKt7BCid+YvtvcHa59+3TGdj50SskC6bbWKSPwJ+978a21waq+jWIcwC5v9iq4I57n4csbHSuFVUslJhzConw+HmB13G3xxGrpajudTPly5enrUntnbcDOHQIiJ+4ait0oWa3QsJSnn/F4d9+h3I2w+vg67PdQ06yJf3rgsKsU3T62HXDM8tcMK1rTqpkkIQu9ig3I2vcgEHkfLyxIjwXytWY8caYEpA0ouoJsEAC2oA9fniHYhcKAOuyp+vSpXhL7Cp8aVQmNAfnNOHpc2aWUl12qqKNgQoqSFDYpslKkp67atrWucNH7fOYu54Q55Sp6WEvUxqGtD6fsXRKlNtLZV4RbltsfIczh9/1VUX4DbZYkhW4sylYcUCrqEpOkgC5NjdJ5dcMD+kkhzEcEc1x0pdlOvVPLMJDXdOoW2l2p/alayhOpWhIsSbnSfPEIdxBxdy0kSSXUnbzHxj57VM2u49mKipJhC4kj+GuZXIDVMkvSzVVBDZjr0KSObiNkoJ2Nr7+vlhJqrLs+ttpCFJLiktEN6dQHLra+FEmZOqTbJbZgSAVIK1HT1C0j8eeMZk3hpWalWaXD9gkK9oqMZtQSgk933ranLC/RsKJ9AcdP3WO95hFrh/s1uhVotT3taUxcOFaUpKFKA/m05ZSmSASo89KWSlvvnll9MH90mDuecEH3+ddQnZZhNu8HZOXFso0O5LVBWbBOhcsOKuRyADztlK2tYk7451OMEhxC2GVtta2pbzdwNvs1ONjckG1ki2wx0OcEcyx6NlqpQZIktvNU1DIaUyq50O7AchulPPEBXaRo7i8y1CJT4zzrUerydJLek6VnvNh6Ekeg6Yj+GvhSAFODxJ5Qemnz9PWosu1SMSu1JGVI7oiToYB15RvTNqpUld4+jQi6VKtZAuoqum17E23/HfHTJ9HVSae3TabSJkSM44mNHcR3jaCVrdS247pTYAbnl5beWOdOmcNaxUaxEhtQJCzKnMI0pR4lIL6VuAe5tK8dAvBKl1miy4kqLCdT7K80ltNrBTaAlOhVyBYhO+/niM4w8EKAjQEq+H31Y1q00sJbLqUkxl8agQSRzAM/Gun+icJKfVMsmGwzFjqeZUlpwR0IIUACncgbAjex5csNkPZRqntiGXJEGzak94+gW0odsW7JNiSQCNjbmfXC/cBe0hDXQoiJUebCnIvdBbaLKgEjXpLmsAk/dseWwGFnq3E2mhTEkJLftLBUorcSorXHWUo1ttpCgEgmyR5YimMPKKJzIjQgSJHqKduGbwtOqRnEG46rVslQMHL5TXiNw8iUSnIgtd0sMsEFbZsVqKBrKgT1IJvfkd8Qr9vzOMf2pmjRCySjS9JCSnUDYlAUASPX3m+H58dePkuUJMWkU591aYxQuehDzYbJR/Cg7E78z/LELfEzK1TlSZEx+FMdkPgd5IcStWqw9RcWttYWGK1xTE3c+REHUiEQdPMmAP7elW1wnhTSj3zipSZJk5c0yZE9d/zohlF7QdRoEcxG2ozjW9gUX3BOm+m1ttuRtjS652saudalxo6QonwoRtbkOh99sYrNORJot/oUjY80IsevVXnhC6/kWedV4koEk6UkAXNrb2PL16YdMNvLlCEhRiOsGZ9CfnS/FMOsVqOac3k4dfXTSlJc7UtWS6m0SOsKUBY+RIvcad9unnh5cPMj8mFTpCkMano/elJRYpuAdiOdj/XEVwyJU0uIV7G7dNiTba46/Lrh++V8+R24EFl5p5txqMWzZJ3sADe6vMdDiSMXbykLUpaZIAg1DsWtbVpVsplOy51cVGm42O9bxWeNkygVJthmPHUpxAcCySm1zYWAFjblzv05Y1TJGeXv7UMVSS40gSJB7wghKSpw/xHoNyNxhN86SHarUGXY8d1aGkAarAG+q9ufwPpi+g0WYEpPsnIhXjBvcWsNv7vMfPFQcTPLLySSkievn+etXjwLhjCrZZgAqBEhwnzmCkdalrrM1a46QrS813QCHEWVZKkA8yLGwI6euIu+LnAKa7V1TaclDrEp4rtpCShZJKthyt06c+WF+ypx8lwGUwqrTnH20BCWX0+EpbCQkpWDdKrD3Gw33xuw4s0SWpCtbaCh0Eoc0oTpUkmyrqFjfl5+mG/Cnyp06bqCd5pfiFobW2KtTlS5vpOc7bGI68+lR68P+Dj1LqD1SqiL6HnENISQAghavGR193phUsx1SPFiyXFOOANtlwghTZSnSSPCT05Ajb88Yjivxhy9DddC6g0lwvrAaadQpdyvbQlKlbpNiQRY3xsfH4UKU7mCZUPrqowaNRcsLaajuRoa5L1T9ob0uL7tQS2kN+EhGokD1x0jwXwoq7ZeVmSgoKRKlATIGsQIjkOfvrk/tC7RbfDHrRq4QqHkK1SdRByjlzHOdCajkcQp+Y88FL0uPuErKtSj4uYtcna3T064bF2haetDjSAp1YMcq+0ulXS9gUouPdf1OJHKj2e3okmtVhQqMbLEKkwKszFZcbbqCvrFaG2465a0r8DSnblxMdOrSL8ji3pPZGyLJpVRzhWJmZq1SEyYkCLSmpKYc1uYuMmS+y7OdS53kZAKWkuoQ2F3O+o4em+zl1LnfLcbypVsCCSBzmfwpnu+3LCvZe5S1cKWEthzKAcjhJ8EHLygz8eVIp2HoUY5Ame1TqgwW8zzCI0WQWWVIMOAnvHkhBJVtYEEcuuHswI1JlK7lZICABr1BWokbJVq1aieRUDe+FZyZ2b8j5Vy5UKmw3WUUZMCnVyNT4z7ZlP/WElcVbEt5SHAVt+zJCXUpSSlN91YVA8E8nzLR6aa3EqVQyz/aaG/KkMqjQkoKQ3EcbabaU6slZu4XEKKUDzOItjXZe7cXDzqVISHSnJJ1hOxO2pHLl51M+Ef0iMMsWU26kPkBSQ54BKFHQpI1jL9lIHSMjUdzWh32UWIDZQtLKk6gL6DuNSdzunn64WXh+yacoONqKIrTqmgqc9HeRJIVsUpCG1FKgQEqFiLG9tsb/P7NuXojcZl9yQmY/THJ6qu9VYDUZmUmMp9EZFOUEPOtOLSEqdAUsavvHnhpkbi1SXEoTORHjlhXclJSopcLatPeIcCj4CtJ036dCN8Vpx12dXWG2nfLyrSowAlckny089qv3sr7ZsI4ixBdta95nZ8XjGUGFZT6VMxwXk0lbaUSIsRlTiQ8pZS2GHgDvoI8QcSTYhZ2tuDh4dT7ReVstUpbq5kOKmEnUD3oD40JvpbI8yOo325dedqV2sqdAR3ENTbytASFGS4lSSkEBLYTZNt77kknphruf+MM3MetuU8pLKidKe8AAvyKibE22uDe/T15bvTdG4gIU2kKE5pGk66Ea7V9C+H8ItXLdBASoxIywrWNAYqTHtbfTG1CJ7RCyO00qYtK0GpLW7dvUkJ1oQkhtSgdxcCx33F8cyHHbihmnOFRfq2ZanLqMp59x3W+tSkJUs2JSgqITy6G99+uHCZ1oShdTRUok7qAIvtyBP5YbDmqM8gKCivSCrUFWI35dOvLF8cCuttpAQcyj9Izz0kVQ/aphjyysKKmGkk5QhIBO4kmOY/PKm5zmbKUSTex9N98a49v8ADp8Tja6y54jsLk2HnyHwxpy+Z9+OgLFuUiTqQDXDONMBC3BMwrfnVF4XSP31OPB2R7rfLfHp1VhfyxSUfs/h+mHNKYEVGDsfWpJqZvZXLpbry/pjf6elIuQd7D9+uE4oyiqxPIkkX+GFOpdilQP90fhiLXccuvy2FWkDIBFbAk6fZlne8hpHXw6lAdfPG6Dr++gwns2bpEFKSkBVQhoIPUKcuAn1Om344UIdf30GOfe1Y/yu2HS3/wD2LNfYj+5ugf7G+If+fUT/APb7U/bXZvxR/wCS/iDwc7MPADiU5Fy3UM9cDcrVbhfxIeQCMsZ9jU6n09ilVErLYNIzG2uLEdaD7KH3mkxlLblP06XCiO+jC7PebOFnbd4d5GzrTV0vMNCruYo8lq5XGlsqyZmJUWo06QQkS6bUI5RIhyUpSHGnAFpbeS60ix+llrMSTw47HqIsuNIdicAKK1IRHkNPORn0t0v7N9LS1KYdSpKgUOBK0qSRYFJAkv8Aoi+2hknjPmrhfA4v1JqmcaeDrk93IOe5b8ZhzPuU3qLUqXUMp5imyij2mqUyNNNTiurdEmX7GqYy4ZBrjVScw8xdYvZtOFtq5tHMMXbvEpSm4ZQ3bOOWzp0AdR4lW7h1XJYVJ7qGAWGLcO9nPEeI2bd5iOBcQWHHVtjGGpC37nBsTuL3HbK0xrD2zKzhtyBbs4zaJ8Nse7xZgZf1gHEQ+iWYzS9xA7Z7WRzPGc3MiZ9byoaY6yzURmJeZqimjmA7JW3HalioKYMdb60NIe0qcUEgnDN+2ZlztyQ+HlYc42PcQ1cOlvUpusIr1Xo8yluSDVIi6Ql5iHNfkKX9bIhLYIaKUvobLhSkE4dL9FfTpNazx2zKFRKtT6XXczZCz9R8szJVaZojX1xUsxVGPTHGaop1HsxRJeZdEtlRUwkB5P3QcMs7Uv0ePaHyXkSuZpz1nWjVrK9IFOdqdOY4pt5lfeMqqwadEU1RjNe9rWzNmx3SUIUqOhCpANmjdBdIdXhTRbRiCkhOI5zavZLZE3DpPtSO6UVjLqoZkS3I00NTTALmxY7QL9N5c8HW77r3BQtmsewtV1jtwr9S4egDAbz263TaO96QhlRt38l3lXBjJSodo5SuNHZD4dcT0uCVm/gDVBwpzwsqUX3cnVMx/wCxdWkLe1OvJiOO0yltrDiguROnOHT3StEq/ZReyXwryTwe7JedIUZuodpjKOaswcSJjqkN1DLdUzrT24vD1haCtPdySmAmmsocWH49VhxXmg2HFKEQf0HvHvLNG4k1vhlxERDlcNuM2X5GWMwxqq82zSmqrTUvVWgTZjjjjYQFLbnUplSLOJlVWM6Fp7kYZd22u2DU+JXG7NHFWmTJMMnMkeTk1aVLSuj0fLjzDGVDGYeQExXWIsGJOcYSyhsT3H3C0VuLKtFtjzNuwzigyuXb6WcPfYIBJbtin2p0yIi5s02luVblTtzBB1pfjPZPimMYvifAZFxZcO4W9iXGGE4k0pSG2rvHW3hgFi2pshU4JxE7xDiqWz4UtWODpKCg5akR+jD4CSOEHETjJxS4i08Ja7LtGr4ciud+3GqfEaWufl7LUGGt5DDclqav2p2G4soI9tpE5A7txpzC9fRucQ828ROCnF7K/CfPMHK3abzJxGXn+qPyJseh1/PuWZMZD0um0KtvtgR5CKu7UZS2mXW0RJDyEynIMWrLlix+mF7fGUc68I+HULI7EGn1fjUabxU4uNwFpLxrOXqVFybEpVQGpRAZq1Em923ZsuihxJ/dpM0rdjb7H30eeaeK+WEZo4W54yu3xBoWZZEaVkidmWJlfNcSDHj0+VSs00CXIksB2Ot9+XHdX3sNUWRDSWJDy3FttbA8LS7ZscOBvGmmblxfcOFp9325IJXbrAKhcNWns6UwlagpLycqklQpC7hiuIeHcQ4t4ydZ4YxC+xLA7O1TilmL/C8OHCjzg9lxa1WQyvCcR4iONPu98/bIXbvYav2lFw2waSPtt8b+M+ZazScs8cHay5mvIEWZRmv7S09ELMTcObJTN7qoSEtNGqsBxPe06oK74vRXy4mTJacacS1fh/F7+sRGd/tBIT4TpP8A5s/yVtY+uJvPpqM9pkULgVlHOOY8v5x465NypWIPFLMGXJLM5lmPJmxXssUOsVKOlTU6twoiX3J/2neCY5KqXcsx63HLsVnY3m0CNxLyw/mmA7U6Ay5U3KjAYfEZ2S2mi1IsoQ+QQ2RJ7hd7G4SU23w2W1oW+JLBpT67g/rHDP2rqpeGZ22PdvEKUO+ZB7lwBRhaCNIgWRiONN33YvxRdt4Ta4U2rg/jYJscMaLeHuhm0xlr23C23GmFfq/F8n6zsS4y2pdveNKUFZs6tpl8EYdXStU5lTykIUlo+0OpKL7qupKyb+o/pjd8icJKfQGlppsRbDigsuPB99Ty7gGwUpZIsSepvibbK/GPs3rR4uG1ZSb8lZh3PvJYFz0IJ54UwcZezQ2nbhzVkG2//l0HcdB4LG/Pl8Mdzpc/dS6FDnBjQesGvyr29jqsjC7olWyQy2emsDQbCoDZlMlFwfaPcyB9o4FC4Nrkmx3xpjtGe1+Nx8WUdu+UTz369fdifmbxu7MhUVL4b1xQCvvJrgF+fXu/0xSjcduy1p0/8mFXV5qXXQVE/wC5Yk+dsZrLIOr3+Ur7qzFmuCf1RczBBloAkDlCREfEVADIoj5Q4e8eSFDq6q53HLc/pjW5FJX3Yb755Kgsm5eWPL1+WOhaTxv7LAJUvhbWgjz+vk2+RB+RxjFceOyayrvDwsrzhO4Q1WUrTe/8WopH4+++G551AMpfHmSVfdW9lqd8Jugeot0qPl9IfURrXPGukvAgd8+Ug7rD7gtfyANr+nzxlo9Hkp8LUh8g38anHL26cl25+mJ/m+PXZHfXY8Jq9r6lVaQge7wrI253v1wpdE4tdkYaT/yY1pBJ2SmrBxXoLd8m/Pr7xhsuXEK1Fynz1VT5hzEEg4TcyToe5M/JJHw0qADLFOmJCUqkSBpI37x26he/3UqUT5eLoNsPc4VsyUIbW88+EocuEo7xeoAbaiVAc7XBuPPEx+XeLPZKdWlP/J5U2hdNu9m6jfbol88tr8r4e9w3zz2aFRgYeU3ozfIB1K3LciPEH+XO4xX2LvtIz5rpI96uVWZg2G95ljDHwYiFNHXnzTUMcWRKcjIUy4sA+PSoJbLRDYTsocwryHny2viMT6VqSYnBWuB18JekZpyeltDfeaylFWKlalXFhv0A2335Y7R3M69n5xtKVUCIpooB1FpZ0j+FKrO7Kt89icQ1fTe8XOzJlrgzEeq2RXa23Vc40RluBTJL1MkFcFxchbr87WpLTTYKbINg4bAXO2Ilgl4w5fsIN4lRLzYABWdSoAaAHTrpEb6VK8Uw/wBmsLp04Rcnu2XFgJZBmEk6SIO3qa/OwlZkkHvQh12yEkD7RfLX03/fphcex9T5NXz1T09+/ogxp89263LjuoryGwAFHYuOJGo2set9sPyT2iuyVdRHCDMqr31f+688hvYeDniYX6K/PXZHWM15skcJMwRGnI7VGiOSq2ag1ISXu9kpYWXWUMLC2Qpxw38N0b2tjpfGG7dm3Wv29sgJAyhC0kaRGqBPnBjrXMGBY+t+7Q05geIMpdcCStTbREqJyykEkDzIgDcimK0NL31VmR91T5RFprrz2pbps233i1KBJvslJ8uf489as5SplVflOyHiqRMfd3cWo2W6vTuVf3dItt87Y/Ul7PnAnsycUcsZxey/kB2lxG6NJbrKJc5wvqhPtOoWpp1t9SGyfHocNrEdN8cQ2buMPZCpFWm05PCLMyxDlPxw5/a5Xj7hxTYWkaV+FWkKHivv53w18MYY0touKvEpBVCCQo+4RtoPKlfFPEDVneXDKMHubhbonLboRmS2NJgxCQYGm2YD1jP7LcKTVs/wUl14NQES5rvjcJCW21tptvudTqb/AOG52xOhkunPd2hRcUtAWkEalg+Igc7/AHQfnhxn0XPFDsf1CtZqqL/Cavx1RafFhockV/25lYlula0JutktSPsgpJSVXTe9hidfIvEzsfpc7pjhvU0oJHgekqfQSepAmg39dt/TDBxQhoP5U3iChKFBRlQ1KZ2OvP5VLODcXF000tWE3LC0v5e7dSA4ABAzRI1gESdiOdRscOIET6kihbgD5XZVlLUUXsRz8KtIHM3O/LC11GlRFN0qSp8xwlS4qVKWq6luXVqIGnRqsLajax2JticHI2dOzfLisGHkoMRkhKWy5EDxQU78kvrJVb+I6r8jhTq7mPgNLaS49lVh1LRb0pREQyBYbKUlLyd0C53SFedsVJjV4zBQbtAE/TkgwOWgmrxwSwaSpahh10o973gDbQVGYCJBGgkGPfXNjnPLjzff93JWi7ZX4XlLCrC17X/iFwDfrfflhnOdKO8tSyXnAnRa4cUbcvIHHXpWKl2ekJDknK8dQ7orCEFS/BcWBSiTzUm6gDyG1sIrXMxdlhKHFu5JCySSoNsPauR5AyAAP36GvrjErCV/+dGBJMplQPoYTyqw7dHhEYNiBAiYYRHToOtcWudIVtZD7wsrQTrUARtuNh5fphvtepTxX4JhcTp1feWFc/u23917789sdnuec3dj1tlYm5AlqDhF0989HT5jx9+Up9x91+eGi5p4tdh+K8tMnhvUkaUFWqPWgq6dr2QJBUSDyHO59MSPB722CUpRftEnX95XxJBHxNNGMN92kk4ReNzqZYb+77a5SJVNWPGpbqb+bqtPLy1C/wCGLeTEWG2QF2NyE2WoqI62srzHny646Lc29rjsPRbogcGMw1LSfEtyuJiAjodKpCnVH0Cdt98JqvtYdjypN6GOCuaGVg6UtQsyNrcCF7XDjgISBe3MemJSi3QpCiq9QkR5gEcthUDucaZbW2f1VfuZCZShgGSdoEdeQqGbKjDbFlSZAabJG63LcuviVfc8hbfpjcazxCokFk6ai9IcuLMsIUok9LKJ0j0ucTacN2uyDW3f9J4Q5qhtaklTlTzsvWoX37ttnwnYfd29SOeHSDhN2G9IcHDyvOaLfYuV6SQs+ST7SNY99gcVfjzdgl0BWIpMa/Rd0/yPLcaGrz4Q4uLrZS3w3e5gmApxpKdIkHWAB0JOpnpXJJnTjTPW8punx3SVDSC+t1Skq/h0obugm3MA+vLbCRpy9nSrSEuSJD0ZlW+pS1sJUBcJ8CFazpv99QNutsdo1TqfYupqO6j8LaigJSN2qslty1vN2QVq6dd/LG+dmbInZI4oZzg5TpnDSrRpc9TjTMmTXVFA7tl55Q7lp9S7FLJAsNzflbGWC3FsXW0MPtla1CCpJPONZToZ6xWHEONOKt3Rc2N20Epky02APUiQkf0tpjrXCA9wY7uQuRMqD8l1LilAI1KTr1XAWtRKlpKwPdcgYcNXOM1cms1piQ3GQzVo9EhyA019oG6M4+qOptbirhR74pcCblVgRbHVn9IFwp7JHB3OT+T5/DLMM6aGI8l16BmQx4zapTCZCAouKW4CAsCwQRueuIxq7xf7J4QpDnCTMIQFXSv+2hSsgEjcBkBR62UBbkMXlha3mc6DfoCiUlaU5wmIEbCD4a5a4xt8Iv1NvO4PfXPcnKhYQ2UkkkwnmQFGDl8+dRTUjtGV1uW7KkR4c6NIpEeizKdKaU/AkxYiUhjW0pfgf1JSsuJNwq9vPG5UztPVUiWy/TqNIpEhuMj6mkRB9XxzGR3TS2EpcQtLvd+EuXUvmrdWHuSeN/ZTGpKOEeZgncak5331D07kgG/mL41Cdxu7LiQru+FmatJ5g50Tsemwjk2Huw+nGngB/LkQDAML5eQE9N6iTvCuClRcOBX6e8yqUCkpGYDQ6iCY5+knQU3Os9pWqVWl1OG4YseLPYhw/Z4rdmokWAtT0ePEII0IStSrldyr1PPExe1TWYa2XNUZSotAGXmy6klIgkLTqIvu/YjSvVsenkt1Z7R/ZqYhuNt8KcwnWb3/ALZHWACRuRF/Dbyw27Ovae4BlC24PDCvtGxCSvODjhv5k+y8vffzw2rvL11ZKcQTE6SF6DTQSOXyqQ4Zw9gSQc2BXwJJK1KkhZ/inmSdZFWWbe3bUhEZS/DosioQqaunQ6s7GUufHiqb7hSEnX3ayUk+MpuDyxH1V+K8qU6UalaFknwqV6Ei3IXVdQ9DbCmZn4scLJbi+7yRV2huE3zKtdgVav8A8l3H7640FOY8hOuXi5XqjO4sV11xaQf/AFYD8N7Y3Ys0t63AuLxLwRqEELIzDl4hH2VJ+B7Wxwu/LuG4Ze27jwILmUFAk7GfPWOutb7wtr6FvgPNuLuSoAElVgUjYrJ3B3uPwxKJkjLtNqkDuotIYmhLWtRkOIYksrIBVq1gJcT/ABDSd7kAm18MC4V1+iMOJTHongUE6TIkKlKAslR8RbbIFzbY39Ogk0yDWKTOiOqbgKpqmmkocWiWVMC4uh2y7LG1hpF9ufIY4X7ZL4tPEtNuJ11WhzL+8QBCVA79Ir7X/op4Wm/s2jclpSlNeJt1tObN1Clpyg9YPltpTbOKGS0Roy1PUhjQlRcSplwtuJTblqbVoXtyJB9+IyOJC4vePhlLjV1m6XF95yItuLC/yxM/nbL0Z6HJlt1eO6yyFNLaQ6CpJIsCppagQDcC6Bz/AAxENxfyo0l19bKiQXVEeK4Nhcki22/6DD92N4z3i8jyl5gBqrONTGhzbnbbemP9J7hVNq2F2racpWSQAlXMg6jSNxl5bwKZXWQkvGxubn+X7+ONSePiPvxvFYjhC1hQ5fyxo7pF9hYb/njtXDVShP8Ai/aK+R3EiT37h5EknyI0IA8p5e6rdfLFMi6P312/XFRxVgTikpXgv6DDnUTWRBipAYM3TpubdBfbGfk5wj09nvpb6I6NhdShqItfZG5N/Pl64ZvM4oS1ApjjuweSlkLt66b2v78aLMnSJh7yU+46voVHVt5C+wHl5dLDDY5aSQYjl+elS1zHAlPhE/Z8KefD4vxarWqFToiXXELq0RapBshBLetRATzIudr736bYekOvv/QYic4Os2zTQT/+sWBv5AKxLGOv76DHOvbOwG720A52kn1752vsx/cx7wv8LcRrIj/dCEx6YZZdaAAOQAvz23PvwWF72B9+PuDFOV9LAK+KSk80g/v9/rfAEpH8Kfw5e49D7sfcGCiPz6UHkQQDfzAt+HL4cvTHxIty2tytz99+d/XH3Bgr2vJQOgt7v3++Q2sB9CR/dB9/8/3188fcGPIryK+BIHIAW222+XLCqcEqY9NzVSokd5mO/IVJaadfc7ppLi4UkJCl2Vp1n7NO26lJFxe4SzCs8CKc5LzhQ2Gy2lS5SlanXEtNoQ1HedcWpxRCUhDaFKuSLkADcjEo4JAONYOFfROKYeFehu2Z+VU5+kW8pvs948cQYWjgvilaDvCk4FflJ84IGlSEZb4X1rU+Zr0ClhqomlI+sJXd+01BJ8bEfQFBY3AS4SlJvyJvbF1mVIgvPw5KC1JivLYkI2Ohad9vMEAEG5BB2vhwXEWfHzeGE0RyGfqnNS/a1PzWIyUsaWj9YNl5SQ8g6XCSgFf3Rzw2jjBm+PPzJWpUUpWw5MShDgUSF9zHZaW4gm4UHHEqWCOYIN/P6O4/ZWFvbuLahK0xlg/Sk5Y2nWdPMCvyE9m3aFimI4nbN3CMqXg8lxkJyuMqaUnKtRzEFLwJU3/RSqda1eqZhUpKkhw2sdQAJNviNvhjRHZpJuFLICk6RYC/Q3IvbnuOYxa1OUbFaSbEnURy9AcazJnFI8L+6ju2bJP4n89r4qh25GZQgjUjU6/XXU/caSomYk6ms3UZUgrTYqCCN7KTsbn+Ejf9Me0svlGpShpFjd0ke63dp1b9D05nGHEhYSfFY2uAu1iPQnp52wNS1AEuuG1vCkG4v02HS+Erg8Jj6zWDTIJnUR0JrZ6bFUlTq1ECwulSSTc9QNW46dMbZCm2SFOrXa6dtV9PI2Vbrtb9MJ57a4dOhQUhX3gAQAR5nz9PljZYM9BRoWpDYWQNJN1KPr/dVbkOfniN3ThEwd/PpT3hjYBPOTzJ+Wv56UveUZ2pbKwbJ0jxqIAIJGx3HTw29MP1yTV3EwQ21JQgmwS2o8zsbgp39NyPLEdWXFxk92ltaATp1pUN7AdFctxY/H3jDoMs1hYaAaWkWtbVa3yF9+mKxx9ebMCJ+PwGsfKrUwAwpIGg03APXqDT9cvVaY4ykKk96pJACAAEM8juAfENuW5PuxzH/Tz9ppyq5oo3CeC9rh5Pb+sq8pBWkuZjqbQUIzoClNrRBp6YZZPiGuSo8ztN9Ss7S2VAqVpCVA6tQCSR/e1ECwtc3t4QRfHKP9I9TnhxXzRXnVPOxsw1JM6nTVrQpuXHRDjMOrZIUVupbfacZLmhLQLQSgqSCcedmbCXcTKnRlS0znakJALk5RJAB0EkQQZjWtvariKmsGUhoauL7tRkhRTAUYghOuo2iOVI5wN7LNRzjFnTmpcOBDikMofluBtL0oi4jtJsbq5jWbhJsFX6Tw9j7gZV6LlKh5GTGtWe9qFRqSbtqaYD7rskPOuoBGhDC0DkT0SFG+GCfR3tSqkhylJkUuoQpdRaROo05bbMlpHep1zUOrKSlBjrdUrQo6lAXNwSZ+2eJuQaRVxSqY/UIIVWpTT1QSI6o7sBvvUMxhJW4Feyt7WNrKsm53x2LiHD1g9aWIdW21mUrvJJhR3MzPUxXzaR2n4rYYnjLTds7dhhhKWG2miruioH9q4rygZYiDJ1mkeyd23c88Lck8So2S5MCLOq+WKnT5Cp0cSNK4vfnXHJUlLS0lTiUudbjqLY5naJ2acyZsZj1tKoRn1ht6oQaU4/pqNRZSrU68w0oaSlSzdtK1JKkhW/hJw+7tvVutmJUW8rl9+kyJ9TNWkiwkGnJcKg4Egp0x7rVqUgqKkkGxF8WPCyrxUoyLm5UqOzSKHlcxKgsyGG3234iXkFgMa++UXS+jQUt28PiJ54a+EcMtS/cMrdT3KHD3adgBtm1Hn99P3GfE90ixwvE2mUovby2/beEhSQQVdyRm+kVJBH+LNOt7IfY6reUcn9+FQm6rXUvVp+nOPBFReahJs4hpg3BRGZ1hVlWWuy2woBSi/PIfCOvORY0rvIqFTYSqhEpypmioyoLSO8ceQxp8OlAPhJClEG3LCf9nnOdMcpeVc5u1aG9TotJzAJwdqDa34DziJMaNESwV98PahpUAhNrrAUNxdxcLiXDn1LLWa6ZIiCl03KUqJOKpLQfjTUw3kIhGMpRdWZDqk6AEgDkd+WWP8ADmE/tVkoPKZ1GmvLly+qoxw92ucQNJZSW0toUt1as7QOVbaTkt1kqnvLvTuYjRKpB0Ie3wJpS3oEQoS8hq50os6VEpCbpI3Gu/p188OpqOWWu4P23cKs6C2pakKPeIOnUoX3Qm4SFWta22InuFnELMkiPCaj1BqIh5wG7aSh1BKta7KBJFk+G48sPzoz1UlhhDpelLUm7pbUuyklQClK1DyB9Bv7sfNjtJ4iQ084hklSA65lgkD6UR6QBHvr7EdmHCqr+yt7h9CWszTKlyIUcyAvWNDBJjTSavplSprMYASC+tDdihtKnSVsEsKHeXud27katPLz3bBxAz8Y7EpEeOht0t21SFKBubm6NI0k8h97Y3G/Rc4OTpLKpjDrwYaYluo0pWkqDcgmTbSi25DltW9rG++NWzPlKktNlx6OJTiLkOPrUrRe5uEf4bDnf43xTDN3dPOHLmjN5depn8a6KtuH8Pt0Q4tIlPh1+E6a1Evn1NerBcbbkS5VwolpKHg03Y7m4TYAX5k2w3Y8A6hLLr0mbHj2unSXdb+m5KiloAaj71D3nEpudq/CVHVGiqDKbL1qa0Ni3XSSlJsbWtscNRqstnxdw6A4m6QtSCvn0UbWVqvz3xfnCqLotgfQ+jrlTJ031FUhx5ZW2YpUtJEkwCcuhiDvoRvB99Nih9nynl5s+0GWk+Fa3kNJQkg8ihKtVhc2sT6+QU6n8PIcRTaGY7TaEgIU4y0G7gHmu53956ct8VnHnFO92nQST97QtIG/S2/qLeu2LZ1L/NEhAcTsrQpZsLkfcNxz3xYbzDuTxvHLlgpkxMc/u0FVVbt2bbhKbcEiADM76SJPvFK/lvKzb0huLHSX5EhYaaZbISb216yVHRZKbqWdvCD7sKpnvhjVKGhtc5TbkVSB3ciC+h1oOFAWELOyhsQBceIm3lZIOE0mrx65T3YzkZuW0473Kp4AiunuHElt02AAcTdvc7EgYfRm1qhRHYVRrjP1W6h+MXoTT3tkeWBAQoOIhIKg0009Ych3gB59JlwfwJhl7ZXDt0pvOHEpC17BKh9nKqb7VO3HFMAxjC7WyRFq+hZfQES49lkBtCgQARuZSrfSmTZs4ZVhqbTYzkSS5LrcdEimxQoBxbK7aXHADZk2ClFDhFkp1atO+MRkjiVm7gvmuj5yo5p7lQiLfepcoOIqMB10ByO+hwsrSO8jpdU260rkrSNycPAzfxGo4rmRpaqo3KkyqRMiIcU17M2wXVPJjuu+NXchRIShsgKTa5SEKSRGnx2efo2UaHSZikR6gqs1moIhodQ6pmGtSkhS9Cld2l95QWgndYSCrcDE3a7O8JYS8thbSyloLQsHVKinNpHQiKqFH6QmNYu9a210y223cKDVylSXv2iTcLZKBnQ2BKUBW5OYbFM1ju0pxUzhx3znU8zVoxDVpbLUiozUaYVOiR4jSYzald4VpjtpQlCAf4lK67WaRP7Nmak1Zyluxu6WiGmpKlvyWE01MFSlD2tUzxNlB07E23v4QRhXuFdVTNoudqKykOVSqUmGqC0HEJU+mPPS/IjoU4tCSvuEnUjV403FtiQ4PPeZES8uy8pMSG5GY/7IxW0MpktFX2Mx1xyH3qlkKdCXBZvX4Qjblix+DOE7J+1bXcKQXSmVKOypJgDT90QBPSqw7TO1HEMJxNdhZMfsWnFNhopleUtpcLgKVDRJUc2k6abVHQvgJmJVVl0lTDLTkOP9Yvy3Xm2YCYTgSG5a5RIaLT3eNpbXe61GyRtcNp4j0uo0CoPU+oN+zvtttuDxJW2+y6gKakMOIJDrDqTdtQ+958xiVLPGa2ahSaxlBhfe5ibyNSIjjSHmVKkSY0ht+RBQ4F2W40AhTljZNjyvtGx2vK2yaxRYaHG3ZNMyzR6fPKFpdCJLLA1slaCoFTNwFC5KSRe+H/GOEcOZtlrQUFSZIg66+6mzg3tcxG9xFDDyT3edbSsoMLCAkoebzFUNrKiiDJzNq9zW6vmBxxJ0quDcWuRffyJHvG2NBkPrP3gd+t8ZeVOTawSCd+Q2xgXHQq3Tnt+/dis2LYAqgaSYPOP7Kv3v1rAzLVqNpj5CI9ABVi8De4v78bBSlEKRY3tbewPTnv8AyxhC4o7AjGdpibKSeptf4WGNeJtpDRp3wSQ8gBSoKxpmMH506zhVUXW3mtKbK2sQlSrbjmncaT1FrcsSw5cq1RepjYkw2kNdw2kPMU9DanSlASFOG5USRa6+u3piLDg/ODT7Si13iRfSUrCVX1DqOVza18TJ5IzkqbRkNuABTGhHdPaFuDw+EJPiJO1tIA3BsPLiTtqfcQ4hSLfvRmGY9IM689N6+u/6Itsl1tea6SghgZQvrrtAHp5/GkUqVLAiPE05lbfjeU8plxesJtqCVKNkLRsSm9x/dwwHjQ9CX3pit90SVEpI67A2G9h5dfXElXECa+1GUG2C2FJ1LCnCGFJKTv3BtZRN7kAXNicRU8Ua4mQp5JbDSklRSEiwG9revqcedlXeXDocMgJykAH4yPt8vOpJ+kQ81b2ncKcSsmUgqE6ydfnTKcyo+0XYfnfywlz/AN47W5/nhWMzHxqN79N/gR88JbJSPmfkcdz4KshpB3OXn7q+MHGTYF06BoApX+Ucx+YAFY93l+/LFqlJUkb+np1t+mLtwbD54pJTZH4H5jEgQZE1Aj+96mq7fT99cX7Kb3/LFimwIxdM7733xtKhyFaqVXg83fNNBsL/APlBkAfBeJWgg+R/A+mIZ2GSefXmOeNgp9OQVDwi3uxWHG/Z3+ubhp83htu6Z7rJ7P32bxqXmzd+1H0oiDtM6wO5P0Wf0xj2bYTiOF/7Gxjf6wxIX/f/AK6/Vnc/yZi27ruv1RiPefzOfvO8b+llyeHMZeNJ8j+BwaT5Yi/g0wAg2Tp91j+7/wBeuN2gw0kbAcx0/ZxBx2HTMYpt/wAR/wBNrqT/AG0//wBwv86/9WakKsfLHwj0P4YZVBiJIFxuNuRHw8uXwxt0KDaxA3/fTGtXYjG+Kbf8R/0ys/8AbTB/wD/zq/1ap1BHzwWPkfwwhMKCFWKgPdpH6AYzyKS3dNgkK5bAfyxr/wDIr/yp/wBh/wBMrIf3Usc+A/8AOn/VulYsfLBY+WE+FFRbd4A9RtYfG3/DGSRFQAEjSoACyykG45eXn7j5Y8/8i3/Kf/Yv9Lo/20sf8BP86f8AVytvsfLG0ZLc7uqRlmwAS+CVEAeKO8mxPS9wB78JjTinvAhVrA7kAAEe7l+/PCrUIIGghKdiRsOltvl88LcN7JDbXNvcDEcxt32Xwn2TLm7lxLmXN7SrKTljNBiZynamDjL+6Npx7BMZwVXBXs6cXwrEcLU//sk7/uRiFm9aF0s/qBrve7D2ctd633mXJ3iM2YOCj1ZCUIIU2LAgAuXHqNJOlW229xj3OrLakE942P4RawUFDmdIIttsNhe1+gwnCqrGQlAWWxflsCsEcrD+fXGrV2Q88WywdCf4lEhJUOgA36bA25Hni5Hr91wQpWYTMHr86+Y7GBWzSs6Gm0qjVaEZVEdCQT6Vv82sF66G9R087kAn/ML/AJ4xSqp3X3lDY/dIBUB7rG9/f0xoUx/u0hSVXWnoSdt+eoc7evPGOVVmHbhR1rAuSVaSB6K/TflthMVyPP8APOnQOgjTzGsUqzmYGd1GyiE3sbi/oBcn8Bi4g1+O4nYELVzFj4bb28Q+fL4YQ/29lfgZUNjdSVKPeA/7ZIuD5D4jHgVmIFaXu81m6dSVuCwOxv4hy6dPPCFdyRvGny+dYoMH933U5BqttOApvpsbaSLAi3mLDfli6hQW3ZjUhUl0NpaLIjNkKZUtSrl9WxUVo2QPFyF8NsYzChCgGiNNh4l7kkE8rk78tr2xtUaqMvFPeuKShV7BouIWTa/h7tQsTzve1/wwy4g/mg8jP53p2sHBM9Kevl6NHR3YcUrUAkArISkm9h4iduW46dbYcVlarR0DT3tzdsDu7LA5G3UeLkPXEdlIrWp8uuylN94lvWj2hxCboSEJs2VWB0pBVpF1K1E3JOHU5BrEYoCRIQpalIKiZDidQRYgC61AHa2w38+mKl4pu8iFbj0/tq3uE4dWE85ET6ddaQv6S7tE1PK1DpVKo0SWy9VVKkuVVt1LSUtsOBtyE4022HlocB1lTbzawq6d7HVz41Cu5hzhV49QrcibVFNJbjB6WpxwMxGlLU2wjUdmkaiEoTc2Jve98dSvG3I66uxBdj/V/fiO4l3VITJccSp3vNTqZIW22QLJT3YCiLm/nGvmWM3T5D8eRBj9+0pSC4llpQXyIUFaLWFrXTbfr5ruB+OWGrXuG2AX0lQLioBgnlufU6coBpv7QOBL+5uCXLkJtSElKVDMnSDB06/R1159Kjx4bZak06opnU1yat1pwaUQ0yGQyPu90ToBPhJBSLgjnfazn6zxjzdFST3UkpvpAktKd25gHUnfbexNvxxvDkl+QqOWgGNLou40jukgXuLpSRytzsfXCqTost1tAfkNyWw2FBKEC5AHNSlX1WHTniaPcXXSi2CMyAPoToCZ1Hn6R6VWtv2eMNl5bQazq0W53e45Dcc+R+NMjrnHKsSmnWJrAKH0Fl5LYU0lxlSSFtlNikBV+e/L4YZHVqrIjyHUHvkMa1d0m4Glu/hAP3TtZIA5WBuDiXGr8L2Jp7z2kLC7kCOw39mbXKXEOC/obE+mE0pvZ6p7Mh9br7j3ealIRIjtrQOQHdq5I36fliS4TxKW4IbUDzgcj76iONcMLcCGlCUNnwzy0I+000rhbnmsMsMR6Oue042+6uWlTt4breoFhTLWk6FttAhzUbKVpUm2+H35A4j5mStCpE4OIOi7ZbQSQLHfwp8W1r36c8ZigcDNKAGFt6BvYIQkEH+EaR5DmT7iMKZSeEEgKQGw4bEfcSkk26i9ufTDbj2POvpWkAgEEGdNCPzvTnw5wg00UqcQnMlWY9ZBkb8wNvkKflwU7SLtJLLsqmImK7vwgrII23ISfCCd+ux64f8AZe7ckMtm1NlR1JbsCHlBPIhW5JHK50ge618Q+UHJVRaShBUruwrSNaAdPQ+IL2I59d+QwoESl1BsKS4hGlKrpNniVCwA+4CBuORuPSxxz1j3DDD7uZTYzEmROnLb3zXXPDHHb7LSGRolICeUwNvl51J9G7TsKVLlSO+CDJDLiCSpKrtNhtTZBJBKkj71+fuxiK3xziSWipUxttRtdktAq6jex6m/P+uIyJ7U6OoOqZK0pSrwocUixPlqSN/L9Ma7JzBLKSQw6hSlDxF9K9h6KTtyHvw1WvCrLSpS2NxuafcR49cUCDIgQDAH2+fSnoZlz9Eka0ladBUSFIQEKPnud9r+nPCL1ersqUpbbq9AsG0uOA2sNyR5/oN7YazWsyVBpzQVbG97qRff3JHIWxqbuepCQpAaU5bcqSsFSfXe/PlizsKs0JQkAAbTB8qqfG+Ji6VZlag6anb8/hTopmYx4Uod3K7KF9N+V7Eb/hjESah4kueNKyvZRuAUpN76k+RvbV8cNWVnsrcSVNPpWCLqum59Nj8sZhGe0o/1vfKuCBcKKhfysq1hhdfWRKYA18tB1103pkssVCjCtifx+FO2azs0IwjqUFWcUsPkqU6q38BNx4U22IsbjFrVOI4dWt2U8664QLLcWpakoCbJ0KUTpAAtbkB0w1lnP5ZUCFl1s/wuJUFIv0AA0nn/AHvntjF1jPTSmisLdA1jUO7Cro/iSCpYPyPp0xHPZHkkoQSkb+X1b+7Q1K1Yfh1yW37i2YcdY1aWtMqa80nnPT76VPMmbw60tbS9SrHSdVyjfkFA3+I8hsMN1zLmjUCqSpanBsFKWpalDbwBSiToHMgnck88YiucQWA24iMXUpJJ0qRpI9Lk2I39Nx5bYbXnavqkq1OOKToTpSEuEKWD/e0m3oLYl3DybmEpU4oiROkD36x8agvFFphyQVt2zOdJlOVOUgwTMyfP31mcz5xLbmtpakKC9SVI1DQRbcEKSeRI2O245G2Ekm5xeK+8Q86hy5IcDrusE3v4tdySDzPmcYCoSzpUNZWNrauf5nGpyF8/F8vT3YtWyS40AA4YgQPn5VR+J2Nq+6p1y3aU5BSVrQCqIgyZ18vKJ2rOO5nkhxTofeDhVcuBxxKibcyQ5uT1Jve+NZnzVPL1OEqUrcqKtRWf7yid/wAeVsWajsbnmfd08seXGk2BJv8Ajyw4JfeVoXCRz/P40xW+D2zTmdDLYjYpTlI+uffVBx1ABv8Al/TGEcUL3HX9/wA8Xjx57m19hfb025Yx6hy/fn/PG8CBTtnERrX1KSdx0t+Yxt9LUlZbBsLEX919v3zxp3eaQfXGahHYc+hBG1sN+IIKkwOlPuCXCEuAqmB5T021p0uSYS7hUYi5IKv4fUEm/ph6OQxMZ1LadKHbIUpJcKUrAHiOo3F9+XPriPDJ1VcZI0SChSbHcEqN+VrbfvfDn8r59nthLhdWoIKbEtFQFwOhBFvePnjnPjnBHne8HgUCDosSDqeQHLlXdnY3xZbWqbdXePNnMJCFSNvLX0EH7nGZjzRMUl9uQFr+yuNategDq2oj+GwPqDbphhvEFZWpbhNypfx+P4fhhxeYOIEiUhbylMqUEaSjSUEJFhqPQ+75YaxnGoJd1KSQLm9ududzv8jho4Cwc27n0EiYByCBIPQ9fnU57YOLReMKV7Qt0DVsLG3kTp9XxpuOZP8AWLHqevkMJnMbNz5C5H4fzwoNbaAWtWq99W3P43wns1ZGwPn+mOpMKQQge7avmzxU9mddUd5E/EfPSsWo2+ePCvu/h+Yx9eb1EWO3O2KKrhPp029dvnbElziYqBHQEfnlVykauWMpDZBONZTPWOQR+B/nis3VnEm4Sj46/wDr4zrClIhsgHG3QY17Hb9f5YRprNMhHJDJ96Vn/wC0xk2M/TG+TcY+9Dv6PDHh/PpShtwAe+nEwogXpF+XvHO/ljc6XTLb3HPzPn5c8NZj8V6i0QUswjbzbf8A0kg/PGcY47VZv7sWme8sSSf/AOsx4lIFZqeB66dKeJT6cFWsfLz9MbxFpyQALgfE4Ywx2ja23yiUn4sTPx2nj+WLxPabrwFvZKR8WJp//wAhhK4yok7VsQ+gROefXT66kDgw0jmfw3/PGRMZKASFeI8j5DEezfanzCnlDo3/AKvN/wDaGKv/AI1mYesGin/93n/pUhjUbZcaRPrW72xHn8PxqQmCoK8JB0jmVWPvOw5enli+UnSNKPuk35XP4+nTEdrfayzEnZMGiAeXs9QP51M4q/8AjcZk6QqIPdGn/wDtLGHsznQf1vwr1N43zzfD8akGDaU7m4N+frzxvVKqYSRqItYcjz8Nvn7sRff+NvmPrBoavK8aft+FSHzvi/b7Y+ZkgBMCgC3X2Sff/wCk8Zm1XHL40ttsUaQf3vhz+NStw0rcu4tTaUA+BOkXA+PP34p1qpIDYG24tcbEe+3nbEWI7aearW9hoJ98Wo/+1LfLFu52yMzqBBgUEX5kRqjf51Uj5YSewOdE/wBb8KcFY8wRHi+FSC1KruI1Fu5ABF1Ekb/l6nGptzg4blwBXVKT94+htywwl3tU5iWb+yUdPPZLE4Dfn/74nFuvtPV5Vv8AQqMmwsCmPNB+J+sN8a3MPejw5f634UjVijEyM/8AVH3in9oUpCyUuBXos7fLbGS+umEJs6tK7HVq5qSedgdzbpub4jod7SteWLGNSv8A0Ev/AP3sWR7Q1bsR7NTADf8A5mV18v8ATcJF4Q+Z0TJ/pCtjeMNDfN8PxqSBWZ2GlAaEq5ad7ixFxt5+hscXbWZLpSsOFAUqwbCrWI5nzHliNxvtH11Jv7NSlXtcFiVY2FgfDNSb/HniontJ1wKCjEpJIvYFibYX5kWng39ScN7/AA/cK0ARA/pCnK04htmyCSvzAT/ZUp9IqCFvIc5KOydS/BqAFzYgnc8/Pc4c7lKUsNtaO5ccWQAlDq0ne178gPgb+WIMYva0zE0pKhBoitO4C49QKeVtwKmn9OQwqVH+kQzrBAEelZUFgANVOqSrW6gGs2v57YgXEHZ3f3KYbS1M83QNPeBVh8P9pGHWzgUtTwiNQ0VfbXQRSsq1Ms3WuO226DYqcKy2gDYE6yb8t8NR4lUdmDUAXO6eJXZY1rW2sk2sU3BSD574jfR9KjxBCAj6lyUUgdaXWAff4a+PftYX6W2wlGaO3hm6rPF+TTMtIWefcQqm2k29DWFe7ztiN4F2R4lbulbnc5T0cSDHqkTI61NOIO2jCbm3Q2hVwpaYkKaUAdeXijToak/jSaSFrb9ibju2UEvMrW8ySrca21qJR/dBQvyUB4bYvYcmUUC7ba2kkjWk9Nuaeg9+Ikh2yMyAW+q8u25/+a1Pn5//AIXxm2+3Rm1CO7RTctoTYJ8MSpgkDzvWCD+GLNs+Dn2zqlB2j9pJ981V152hsKBS0FpQRtljXrualOcqakhQQhtJUdigJSoHlzG4+G5xfwpLUn7F5CQ4lCtNlKSF+d9/xvv1xEv/AOO5mv8A/N2Xf/VKl/7Wx7a7cGa0rDgp2XSpPnEqRFvIj63/AJHDunAHxoEoH/SFR13idlRkqWT/AIpqYSmynGQAhsIbR5BRG2/M77gYVSg51XGXqAFtKFXCSRvvpOtQSCPMC/xucQbDt5ZxHKBl4DVdIEWpgJ2tZNqve1vMn349/wDj55u06VUzLSwd/HEqx3vcf+/Q/lhLd8M3CwMobnzVptpypXacXW6JzFevPJP29K6KKVmuBIbUtxkaSoc7g6yQL3SrkSR+ptjb2JEbTqaQVAg3ShRVptzJ1LtsPIY5v4n0h2dWCO6pmV0hN7J9iqunfzH11v8AE422H9KFxCYbLSKblQpUbkmDWdR8t015NrdLAXtvfEVu+Ar5ZkJZmf75y/q1LrDtHsEAZ1OyP/ZafI10DOtiQFoCEqRoJSSopNhy2sdz13/HCc1Wl94ghLASeQJIsD5m3Ieu+IQz9KRxFISDAysdJuD7FWQbf3TavAafS2Mc99Jpn9ZUVU3Kvj5j2GsWHuvXTbCAdm19JJDQJ6O//wAxTw52oYYpJlbpV/8ABVH5PpUulZy804Vr1jUhKtY0rIFtiUm11J57i+EczBl1tAUWVqDhb1EXCUi+249enl5Yh7zp2s8y12cmpS2ILEpICUqgScwQ2wgEHR3LVdDWk20kFBukkHnjdme3bm5DCI4puWyhtoNAriVRThAFtSlmskqWeZUdycSJjge4bbQE5Cv9/wDaae7kdPLf41DLvjq0dUrwrSnXL4NTruddPTapAJFBcOkqeuTtYGw89za1/PbyxhHHFMnTqvbbnt5cwAMMDkdtPNLgsafl9I/wxal8r1UnGMe7X2ZFjeBQfeI1Qv8A/SmFquFrox4W/wCuPupva4vt07KWPRB++n9TK06yjwOW9LAg3P440WsZxfbSfHe4N9h64ZbI7VeYXNjCooHkmNO/WonGuzO0JWXxZUWlp/2GJY/OarGpvg58KlSWz6L1j4Uve4/aykNqckgDVGmnvpzlTzVIXcFVwrpYkWPp8saJPnqVYnf05Ae744QJ/jLVHOceAOmzUj9ZRxYr4rVBXNiF/wCif/WRiQ22ALbCQEoHXxTr8/l8qi91xSHTqVcuX2TG1K/Klkavw3+eMJIfNuf4eX44SqRxCmOfeZii/PSh4X//AI5xZKzrLItoY+CXP+1w6pw9YPLL66x8OtMi8SBJ1Vr5ClOXIv8AA49pmpVsfL8sJMc1yf7jP+6v/tMU/wC08i99LX+6v/tMKU2ZGwA99afbUdD8PxpVXF87Wt5/v8MWTkgcvnhODmiR/da/Bf8A2mKZzI//AHWv91f/AF8ZezK8vjR7ajz+H40p6XE2HnjNwHxsDt5beWEYGZ5A/ha/3V/9pi5azjKSbhLJ96XP+0GNTtkpQO3x/ClFtiKEKBOaPT8adHQpCbG4VcEWKTt06H0HS2Fry3mqZELa2HlhPIpULpPvvcHp8/PDDYfFCoMfdZhq/wBtt8/lITjY4vHerso0IjU7Sbg3alK5++Zty6WxCMa4SuH57tLcHquNDM8jVw8Kdp1pYpQFrcSQdSlmdPUa1Im/nV9aFF5UdaHEEKS602Ub7dACPhywi+cY8OQgqS3GZXb7rZI58inc2FjuL/nhqb3HesLGkx6cBa3halCw93thHyxhZfFmovCy2YQtyKW3wR7ryThlwzs+umVZipCTP7rk6fAVMsa7bcNumi2vvnOh7opPvOm1bvXoKGlKt4iNr32t8fiMJZOSdW3mb+7/AIYtJWb5b19Ya352Sv8AVw4xRqzhv4Ub+h/62LNs7FxAAVl3nf8ACueMbxVh9xRbzZVdRBn3mr1R3xaLOx939cWqpqz0SPcCP1xS9oV6fv44d8gmai6jJqhgwYMZV5RgwYMFFGDBgwUUYMGDBRRgwYMFFGDBgwUUYMGDBRRgwYMFFGDBgwUUYMGDBRRgwYMFFGDBgwUUYMGDBRRgwYMFFGDBgwUUYMGDBRRgwYMFFGDBgwUUYMGDBRRgwYMFFGDBgwUUYMGDBRRgwYMFFGDBgwUUYMGDBRRgwYMFFGDBgwUUYMGDBRRgwYMFFGDBgwUUYMGDBRRgwYMFFGDBgwUUYMGDBRRgwYMFFGDBgwUUYMGDBRRgwYMFFGDBgwUUYMGDBRRgwYMFFGDBgwUUYMGDBRRgwYMFFGDBgwUUYMGDBRRgwYMFFGDBgwUUYMGDBRRgwYMFFGDBgwUUYMGDBRRgwYMFFGDBgwUUYMGDBRRgwYMFFGDBgwUUYMGDBRRgwYMFFGDBgwUUYMGDBRRgwYMFFGDBgwUUYMGDBRRgwYMFFGDBgwUUYMGDBRRgwYMFFGDBgwUUYMGDBRRgwYMFFGDBgwUUYMGDBRRgwYMFFGDBgwUUYMGDBRRgwYMFFGDBgwUUYMGDBRRgwYMFFGDBgwUUYMGDBRRgwYMFFGDBgwUUYMGDBRRgwYMFFGDBgwUUYMGDBRRgwYMFFGDBgwUV/9k=\n",
"text/html": [
"\n",
" \n",
" "
],
"text/plain": [
""
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"YouTubeVideo('Z8t4k0Q8e8Y', width=640, height=360)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 為何視覺化\n",
"\n",
"在日常面對抽象性概念(包含原始資料、函式或數學式)的時候,我們往往很難一眼就觀察出資料的特徵,因此利用視覺化協助探索性分析與成果溝通是極為有效的作法。接下來將針對原始資料、函式與數學式分別作圖,讀者可以比較視覺化前後的觀感與理解,藉此體驗為何在一個資料科學專案中視覺化是極為有效的工具。\n",
"\n",
"### 原始資料\n",
"\n",
"利用 `np.random.normal(size=10000)` 創建 10,000 筆符合標準常態分配的隨機數,假若單純將這些隨機數印出,幾乎不太能觀察出它們具備了標準常態分配這樣的特性。"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([ 0.28763377, -0.12276065, 0.34811166, ..., 1.85008303,\n",
" -0.05646011, 0.94117921])"
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"arr = np.random.normal(size=10000)\n",
"arr"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"若是將這些隨機數以直方圖(histogram)描繪,從鐘型外觀以及中心座落的位置,很快就觀察到它們具備了近似標準常態分配的特性(鐘型、以 0 為中心、約有 67% 的數值介於 -1 與 1 之間)。"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"