{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": { "hide_input": true, "internals": {}, "slideshow": { "slide_type": "skip" }, "tags": [ "remove-cell" ] }, "outputs": [], "source": [ "# for QR codes use inline\n", "# %matplotlib inline\n", "# qr_setting = 'url'\n", "# qrviz_setting = 'show'\n", "#\n", "# for lecture use notebook\n", "%matplotlib inline\n", "qr_setting = None\n", "#\n", "%config InlineBackend.figure_format='retina'\n", "# import libraries\n", "import numpy as np\n", "import matplotlib as mp\n", "import pandas as pd\n", "import matplotlib.pyplot as plt\n", "import laUtilities as ut\n", "import slideUtilities as sl\n", "import demoUtilities as dm\n", "import pandas as pd\n", "from importlib import reload\n", "from datetime import datetime\n", "from IPython.display import Image\n", "from IPython.display import display_html\n", "from IPython.display import display\n", "from IPython.display import Math\n", "from IPython.display import Latex\n", "from IPython.display import HTML;" ] }, { "cell_type": "markdown", "metadata": { "internals": { "slide_type": "subslide" }, "slideshow": { "slide_type": "slide" } }, "source": [ "# Analytic Geometry in $\\mathbb{R}^n$" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "cell_style": "split", "hide_input": true, "scrolled": false, "tags": [ "remove-input" ] }, "outputs": [ { "data": { "image/jpeg": 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", 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", 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", "text/plain": [ "" ] }, "metadata": { "image/jpeg": { "width": 350 } }, "output_type": "display_data" }, { "data": { "text/html": [ "The Supreme Court of the United States" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# image credit: https://www.supremecourt.gov/about/photos.aspx\n", "display(Image(\"images/SC-night.jpg\", width=350))\n", "display(HTML(\"The Supreme Court of the United States\"))" ] }, { "cell_type": "markdown", "metadata": { "cell_style": "center", "slideshow": { "slide_type": "-" } }, "source": [ "Transcript of oral arguments before the US Supreme Court, _Briscoe v. Virginia,_ January 11, 2010:\n", "\n", "_MR. FRIEDMAN: I think that issue is entirely __orthogonal__ to the issue here because the Commonwealth is acknowledging –_\n", "\n", "_CHIEF JUSTICE ROBERTS: I’m sorry. Entirely what?_\n", "\n", "_MR. FRIEDMAN: __Orthogonal. Right angle. Unrelated. Irrelevant.___\n", "\n", "_CHIEF JUSTICE ROBERTS: Oh._\n", "\n", "_JUSTICE SCALIA: What was that adjective? I liked that._\n", "\n", "_MR. FRIEDMAN: __Orthogonal.___\n", "\n", "_CHIEF JUSTICE ROBERTS: __Orthogonal.___\n", "\n", "_MR. FRIEDMAN: Right, right._\n", "\n", "_JUSTICE SCALIA: __Orthogonal,__ ooh._\n", "\n", "_(Laughter.)_\n", "\n", "_JUSTICE KENNEDY: I knew this case presented us a problem._\n", "\n", "_(Laughter.)_" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## The Challenge: Extending Geometric Intuition to High Dimension" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "Our challenge today is to begin to lay down the elements of __analytic geometry__.\n", "\n", "The concepts we deal with today will be familiar to you. " ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "Our goal is not to introduce new ideas, but to cast old ideas into greater __generality.__\n", "\n", "In particular, we will take familiar notions and reformulate them in terms of vectors ...\n", "\n", "... vectors in __arbitrary__ dimension." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "Let's start with a simple example in $\\mathbb{R}^2$.\n", "\n", "How would you determine the angle $\\theta$ below?" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "hide_input": true, "tags": [ "remove-input" ] }, "outputs": [ { "data": { "image/png": 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ooqRTp/I7//d/Sf/+ydNPF5sNAAAAAABqmRIbAFrRvvsmN9yQLLFE+fkzz5SK7P/7v2JzAQAAAABArVJiA0Ar22abZMyYpHfv8vNXX00GDy7dYhwAAAAAANo7JTYAFGDDDZMJE5I11ig/nzo12XHH5MILi80FAAAAAAC1RokNAAX51KeS8eOTjTcuP581KznggOSkk5Lm5kKjAQAAAABAzVBiA0CBllsuGTUqGTq08s4xxyTf+U4ye3ZxuQAAAAAAoFYosQGgYN27J9dem3z965V3zj472WOP5L33issFAAAAAAC1QIkNAFXQqVNy/vnJT39aeeeqq5JttknefLO4XAAAAAAAUG1KbACokoaG5IQTknPOSTpU+DfyuHHJwIHJxInFZgMAAAAAgGpRYgNAlR1ySHLllUnXruXnjz6a9OuXPPRQsbkAAAAAAKAalNgAUAN22SUZOTJZaqny80mTks02S8aMKTQWAAAAAAAUTokNADViwICksTFZZZXy87ffLj0j+/LLi80FAAAAAABFUmIDQA1Ze+1k/Pjkc58rP58xI9lzz+TMM4vNBQAAAAAARVFiA0CNWXnlZOzYZPDg8vPm5uSww5If/SiZM6fQaAAAAAAA0OqU2ABQg5ZcMrn55mSPPSrv/OY3yf77l05nAwAAAABAW6HEBoAa1aVLcsklyfe+V3nnb39LdtwxeeedwmIBAAAAAECrUmIDQA3r0CE57bTkt7+tvHPrraVbj7/0UmGxAAAAAACg1SixAaAOHHlk6dT1YouVn99/f9K/f/LUU8XmAgAAAACAlqbEBoA6sc8+yY03Jj16lJ8/+2ypyL7nnmJzAQAAAABAS1JiA0Ad2WqrZOzYZIUVys9fey0ZMqRUdgMAAAAAQD1SYgNAndlgg2T8+GTNNcvPp01Ldtop+ctfCo0FAAAAAAAtQokNAHVo9dWTxsbkS18qP589OznwwOTEE5Pm5mKzAQAAAADAolBiA0CdWnbZ5I47kmHDKu/87GfJoYeWSm0AAAAAAKgHSmwAqGPduiVXX50cdFDlnXPPTXbfPXnvveJyAQAAAADAwlJiA0Cd69Qp+eMfk+OOq7xzzTXJVlslb7xRWCwAAAAAAFgoSmwAaAMaGpLjjy+V2R0q/Nt9/PhkwIDk+ecLjQYAAAAAAAtEiQ0AbcjBB5dOXS++ePn5448n/fsnDz5YaCwAAAAAAJhvSmwAaGN23DG5/fZk6aXLzydPTjbbLBk1qthcAAAAAAAwP5TYANAG9euXNDYmq65afj5lSrLddsk//1lsLgAAAAAA+CRKbABoo9Zaq/Qc7M9/vvx8xoxkr72S3/++0FgAAAAAADBPSmwAaMNWWikZOzbZcsvKO9//fvKDHyRz5hSXCwAAAAAAKlFiA0Ab17NncuONyd57V9757W+Tffctnc4GAAAAAIBqUmIDQDvQuXPyt78lRx5Zeecf/0h22KH0vGwAAAAAAKgWJTYAtBMdOpROXJ96auWdkSOTzTdPXnyxuFwAAAAAAPDflNgA0M58//vJJZckiy1Wfv6vfyX9+ydPPFFoLAAAAAAASKLEBoB2aa+9kptvTnr0KD9/7rlkwIDkrrsKjQUAAAAAAEpsAGivttgiufPOZMUVy89ff720M2JEsbkAAAAAAGjflNgA0I59/vPJhAnJZz9bfv7ee8nOOyfnn19sLgAAAAAA2i8lNgC0c6uumjQ2Jv36lZ/PmZMcfHDy858nzc3FZgMAAAAAoP1RYgMAWWaZZOTIZKedKu8cf3zyzW8ms2YVFgsAAAAAgHZIiQ0AJEm6dUuuvLJUVFfypz8lu+6aTJtWXC4AAAAAANoXJTYA8KFOnZJzzkl+8YvKO9dfn2y5ZfLaa8XlAgAAAACg/VBiAwAf09CQ/OxnpVPXHTuW37nrrmTgwOS55wqNBgAAAABAO6DEBgDKOuig5JprksUXLz9/4omkX7/kX/8qMhUAAAAAAG2dEhsAqGjYsGTUqGSZZcrPX3opGTQouf32YnMBAAAAANB2KbEBgHn60peS8eOT1VYrP3/nnWT77ZNLLik0FgAAAAAAbZQSGwD4RGuumUyYkHzhC+XnM2cmX/lK8rvfFZsLAAAAAIC2R4kNAMyXFVZIxoxJtt668s5RRyVHHJHMmVNcLgAAAAAA2hYlNgAw33r0SEaMSPbZp/LOaaeV5u+/X1wuAAAAAADaDiU2ALBAOndOLrooOfroyjuXXlp6TvbbbxeXCwAAAACAtkGJDQAssA4dkt/8Jjn99KShofzOqFHJoEHJ5MnFZgMAAAAAoL4psQGAhXbYYaVT1507l58/+GDSv3/y+OPF5gIAAAAAoH4psQGARbLHHskttyQ9e5afP/98MmBAMn58sbkAAAAAAKhPSmwAYJENHpyMG5estFL5+RtvJFtumVx3XaGxAAAAAACoQ0psAKBFrL9+MmFCsvba5efTpyfDhyfnnVdsLgAAAAAA6osSGwBoMausUjqRPWBA+fmcOckhhyTHHps0NxebDQAAAACA+qDEBgBa1NJLJ7fdVjp1XckJJyQHH5zMmlVcLgAAAAAA6oMSGwBocYsvnlx+eXLooZV3/vznZJddkqlTC4sFAAAAAEAdUGIDAK2iY8fkD39ITjyx8s4NNyRbbJG8+mpxuQAAAAAAqG1KbACg1TQ0JMcck/zlL6VSu5x77ik9Q/vZZ4vNBgAAAABAbVJiAwCt7mtfS66/PunWrfz8qaeSfv2SBx4oNhcAAAAAALVHiQ0AFGL77ZPRo5Pllis/f/nlZNCg5LbbCo0FAAAAAECNUWIDAIXZeONk/PjkU58qP3/33WTo0ORvfys2FwAAAAAAtUOJDQAUao01SkX2F79Yfj5rVrLvvskppyTNzcVmAwAAAACg+pTYAEDhll++dGvxbbetvHP00cn3v5/MmVNYLAAAAAAAaoASGwCoiiWWSK6/Ptlvv8o7p5+e7LVXMn16cbkAAAAAAKguJTYAUDWLLZZccEHyox9V3rn88mS77ZK33ioqFQAAAAAA1aTEBgCqqqEh+dWvkjPPLL0uZ8yYZNCgZNKkYrMBAAAAAFA8JTYAUBO+853kssuSLl3Kzx96KOnXL3n00WJzAQAAAABQLCU2AFAzdt89ufXWZMkly88nTkwGDkzGjSs2FwAAAAAAxVFiAwA1ZdCgUkndp0/5+ZtvJltvnVx9dbG5AAAAAAAohhIbAKg5662XjB+frLtu+fn06aVT2+ecU2wuAAAAAABanxIbAKhJffsmd96ZbLZZ+fmcOcmhhybHHJM0NxebDQAAAACA1qPEBgBq1lJLlZ6RvdtulXdOOik58MBk5szicgEAAAAA0HqU2ABATevaNfnnP5Nvf7vyzl//muy8czJ1anG5AAAAAABoHUpsAKDmdeyYnHlm8qtfVd656aZkyJDklVeKywUAAAAAQMtTYgMAdaGhIfnRj5ILL0w6dSq/c++9yYAByTPPFJsNAAAAAICWo8QGAOrKfvsl11+fdO9efv7000n//sl99xWbCwAAAACAlqHEBgDqznbbJaNHJ717l5+/8kqy+ebJLbcUGgsAAAAAgBagxAYA6tJGGyXjxyef/nT5+dSpybBhyUUXFZsLAAAAAIBFo8QGAOrWpz9dKrI32qj8fNasZP/9k1//OmluLjYbAAAAAAALR4kNANS13r2TUaOS7bevvPPjHyeHHZbMnl1cLgAAAAAAFo4SGwCoe0sskVx7bXLAAZV3/vCHZM89k+nTC4sFAAAAAMBCUGIDAG3CYoslf/lLcswxlXeuvDLZdtvkzTeLywUAAAAAwIJRYgMAbUZDQ3LiiclZZ5VelzN2bLLZZklTU7HZAAAAAACYP0psAKDNOfTQ0qnrLl3Kzx95JOnXL3n44WJzAQAAAADwyZTYAECbNHx4MnJk0qtX+XlTU+lE9tixhcYCAAAAAOATKLEBgDZr4MCksTHp27f8/K23km22KZ3aBgAAAACgNiixAYA2bZ11kgkTkvXXLz9///3ky19O/vCHYnMBAAAAAFCeEhsAaPNWXrl02/DNNy8/b25Ovvvd5Mc/Lr0GAAAAAKB6lNgAQLvQq1dy882lU9eV/PrXyQEHJDNnFpUKAAAAAID/pcQGANqNrl2TSy9NDjus8s5FFyU77pi8+25xuQAAAAAA+IgSGwBoVzp0SH7/++Tkkyvv3HJLMnhw8vLLRaUCAAAAAOADSmwAoN1paEh+8IPk4ouTTp3K79x3X9K/f/L008VmAwAAAABo75TYAEC79dWvJjfemCyxRPn5f/5TKrLvvbfYXAAAAAAA7ZkSGwBo17beOhkzJll++fLzV18t3Vr8ppsKjQUAAAAA0G4psQGAdm/DDZPx45PPfKb8fNq0ZMcdkwsuKDQWAAAAAEC7VLcl9v3335+TTjop22+/ffr27ZsuXbpkiSWWyJprrpkDDjggd955Z7UjAgB15FOfShobk002KT+fPTv52teSX/4yaW4uNhsAAAAAQHvS0Nxcfz+G3XzzzTN27NhP3Nt3331z/vnnp3Pnzi2eoampKX379k2STJw4MX369GnxrwEAFG/q1GTPPZMbbqi8c+ihyRlnJB07FpcLAAAAAKBI1exD6/Ik9qRJk5IkK620Ug4//PBcccUVueeeezJhwoSceuqpWXnllZMkF198cQ444IAqJgUA6k337sk11yRf/3rlnbPPTr785eS99wqLBQAAAADQbtTlSexhw4Zlv/32y2677ZaOZY5AvfbaaxkwYECefPLJJMnYsWOz2WabtWgGJ7EBoG1rbk6OOy454YTKOwMGJNddlyy9dHG5AAAAAACK4CT2AhoxYkT22GOPsgV2kiy77LL53e9+9+Gfr7jiiqKiAQBtREND8otfJOeem3So8B1TY2MycGDywgvFZgMAAAAAaMvqssSeH4MHD/7w9TPPPFO9IABAXfvmN5Orrkq6di0/f+yxpH//5KGHis0FAAAAANBWtdkSe8aMGR++7lDp+BQAwHzYeefk9tsr3zZ80qTSiezRowuNBQAAAADQJnWqdoDWMmbMmA9fr7XWWgv8+U1NTfOcv/jiiwt8TQCgfvXvn4wbl2y3Xfnbh0+Zkmy7bfK3vyVf/nLx+QAAAAAA2oo2WWLPmTMnv/71rz/88x577LHA1/jgIeUAAB9Ye+1kwoRk++2TBx+cez5jRrLnnsmLLyaHHVZ8PgAAAACAtqBN3mf7tNNOyz333JMkGT58eDbaaKMqJwIA2oqVVkrGjk2GDCk/b25ODj88OfroZM6cYrMBAAAAALQFDc3Nzc3VDtGSxowZk6222iqzZs1K79698+CDD2b55Zdf4OvMz+3EN9lkkyTJxIkT06dPn4XKCwDUp/ffT/bfP/nnPyvv7LNP8pe/JJ07F5cLAAAAAKAlNDU1fXj36qL70DZ1O/FHHnkkw4cPz6xZs9KlS5dcdtllC1VgJ1FKAwDz1KVL8o9/lE5mn3Za+Z2//z155ZXkyiuTHj2KzQcAAAAAUK/azO3En3322WyzzTZ5880307Fjx1xyySXZfPPNqx0LAGjDOnRITj01+e1vK+/cdluy+ebJSy8VlwsAAAAAoJ61iRJ78uTJ2WqrrTJ58uQ0NDTkL3/5S4YPH17tWABAO3HkkaVT14stVn7+wANJ//7Jk08WmwsAAAAAoB7VfYn92muvZeutt85//vOfJMmZZ56Z/fbbr8qpAID25itfSW66qfJtw599NhkwILn77mJzAQAAAADUm7ousd9+++1su+22efTRR5Mkv/71r/Ptb3+7yqkAgPZqyy2TsWOTFVYoP3/ttWSLLZIbbig2FwAAAABAPanbEnvatGnZYYcdcv/99ydJjjnmmPzwhz+scioAoL3bYINkwoTks58tP582Ldl55+TPfy40FgAAAABA3ajLEnvGjBkZPnx4GhsbkySHH354TjzxxCqnAgAoWW21ZNy4ZNNNy89nz04OOig54YSkubnQaAAAAAAANa9TtQMsjL333ju33nprkmSLLbbIgQcemIcffrjifufOnbPmmmsWFQ8AIMsum9x+e7LXXsn115ffOfbYZNKk5Kyzko4di80HAAAAAFCrGpqb6+/8T0NDwwLtr7rqqnnuuedaNENTU1P69u2bJJk4cWL69OnTotcHANqGWbOSQw9N/vSnyjs775z84x9Jt27F5QIAAAAAmJdq9qF1eTtxAIB60alTct55yfHHV9659tpkq62S118vLBYAAAAAQM2qyxK7ubl5gT5a+hQ2AMCCaGhIjjsu+eMfkw4VvvuaMCEZODB5/vliswEAAAAA1Jq6LLEBAOrRwQcn11yTLL54+fnjjyf9+iX//nehsQAAAAAAaooSGwCgQDvumNxxR7LMMuXnL76YDBpU2gEAAAAAaI+U2AAABdt006SxMVl11fLzKVOS7bZLLr202FwAAAAAALVAiQ0AUAWf/WzpOdgbbFB+PnNmsvfeyWmnFRoLAAAAAKDqlNgAAFWy4orJmDHJlltW3jniiOTII5M5c4rLBQAAAABQTUpsAIAq6tkzufHG5Ctfqbxz6qnJV7+azJhRXC4AAAAAgGpRYgMAVFnnzsnFFydHHVV555JLkqFDS8/LBgAAAABoy5TYAAA1oEOH5JRT5v0M7NtvTwYNSl58sbhcAAAAAABFU2IDANSQ730vufTS0unscv7976Rfv+SJJwqNBQAAAABQGCU2AECN2XPP5OabS8/LLuf555P+/ZMJE4rNBQAAAABQBCU2AEANGjIkGTs2WXHF8vM33ki23DK57rpicwEAAAAAtDYlNgBAjfr850unrddaq/z8vfeS4cOTP/2p2FwAAAAAAK1JiQ0AUMNWXTUZN650+/By5sxJvvGN5Pjjk+bmQqMBAAAAALQKJTYAQI1bZplk5Mhk550r7/z858k3v5nMmlVcLgAAAACA1qDEBgCoA4svnlx5ZXLIIZV3/vSnZNddk2nTissFAAAAANDSlNgAAHWiY8fk7LOTE06ovHP99cmWWyavvVZcLgAAAACAlqTEBgCoIw0NyU9/mpx/fqnULueuu5IBA5Lnnis0GgAAAABAi1BiAwDUoQMPTK69NunWrfz8ySeTfv2SBx4oNhcAAAAAwKJSYgMA1KkddkhGjUqWXbb8/KWXks03T0aOLDYXAAAAAMCiUGIDANSxTTZJGhuT1VcvP3/nnWTo0OQf/yg2FwAAAADAwlJiAwDUuTXXTMaPTzbcsPx85sxkn32S3/2u2FwAAAAAAAtDiQ0A0AassEIyenSy9daVd446KjniiGTOnMJiAQAAAAAsMCU2AEAb0aNHMmJE8tWvVt457bTkK19J3n+/uFwAAAAAAAtCiQ0A0IZ07pxceGFy9NGVd/75z2T77ZO33y4uFwAAAADA/FJiAwC0MR06JL/5TXL66UlDQ/mdUaOSQYOSyZOLzQYAAAAA8EmU2AAAbdRhh5VOXXfuXH7+4INJv37JY48VmwsAAAAAYF6U2AAAbdiXv5zcckuy5JLl5y+8kAwYkIwfX2wuAAAAAIBKlNgAAG3c4MHJnXcmK69cfv7mm8mWWybXXFNkKgAAAACA8pTYAADtwPrrJxMmJOusU34+fXqy227JuecWmwsAAAAA4H8psQEA2om+fUsnsgcOLD+fMyf51reSn/0saW4uNhsAAAAAwAeU2AAA7cjSSye33prsumvlnRNPTA46KJk1q7hcAAAAAAAfUGIDALQziy+eXHZZcuihlXf+8pdk552TqVOLywUAAAAAkCixAQDapY4dkz/8IfnlLyvv3HhjssUWyauvFpcLAAAAAECJDQDQTjU0JD/5SfLXv5ZK7XLuuScZMCD5z3+KzQYAAAAAtF9KbACAdu6AA5Lrr0+6dy8/f+qppH//5P77C40FAAAAALRTSmwAALL99smoUclyy5Wfv/xysvnmya23FpsLAAAAAGh/lNgAACRJNt44GT8++dSnys/ffTfZYYfkb38rNhcAAAAA0L4osQEA+NAaa5SK7I02Kj+fNSvZd9/k5JOT5uZiswEAAAAA7YMSGwCAj1l++dKtxbfdtvLOD3+YfO97yezZhcUCAAAAANoJJTYAAHNZYonk+uuT/farvHPGGcleeyXTpxeXCwAAAABo+5TYAACUtdhiyQUXJD/+ceWdK65IttsueeutolIBAAAAAG2dEhsAgIoaGpKTTkrOPLP0upwxY5LNNkuamorNBgAAAAC0TUpsAAA+0Xe+k1x+edKlS/n5ww8n/foljzxSbC4AAAAAoO1RYgMAMF922y257bakV6/y86amZODAZNy4QmMBAAAAAG2MEhsAgPm22WalkrpPn/Lzt95KttoqueqqQmMBAAAAAG2IEhsAgAWy7rrJhAnJeuuVn7//frL77snZZxebCwAAAABoG5TYAAAssD59kjvvTAYNKj9vbk6+/e3kmGNKrwEAAAAA5pcSGwCAhdKrV3LLLaVnZVdy0knJ17+ezJxZWCwAAAAAoM4psQEAWGhduyb//Gfyne9U3rnggmSnnZJ33y0sFgAAAABQx5TYAAAsko4dkzPOSH7968o7N9+cDBmSvPJKcbkAAAAAgPqkxAYAYJE1NCQ//GFy0UVJp07ld/7v/5L+/ZNnnik2GwAAAABQX5TYAAC0mH33TUaMSLp3Lz9/5pmkX79SoQ0AAAAAUI4SGwCAFrXttsmYMUnv3uXnr76aDB5cusU4AAAAAMD/UmIDANDivvjFZPz4ZI01ys+nTk123DG58MJicwEAAAAAtU+JDQBAq/j0p5PGxmTjjcvPZ81KDjgg+dWvkubmQqMBAAAAADVMiQ0AQKvp3Tu5445k++0r7/zkJ8l3v5vMnl1cLgAAAACgdimxAQBoVUsskVx7bfK1r1XeOeusZI89kunTi8sFAAAAANQmJTYAAK1uscWSP/85OeaYyjtXXZVss03y5pvF5QIAAAAAao8SGwCAQjQ0JCeemJx9dtKhwnehd96ZDByYTJxYbDYAAAAAoHYosQEAKNS3vpVceWXStWv5+aOPJv36JQ8/XGwuAAAAAKA2KLEBACjcLrskI0cmSy1Vfj5pUulE9pgxhcYCAAAAAGqAEhsAgKoYMCAZNy7p27f8/O23S8/IvuKKYnMBAAAAANWlxAYAoGrWWSeZMCFZf/3y8xkzkj32SM48s9hcAAAAAED1KLEBAKiqlVdOxo5NBg8uP29uTg47LPnRj0qvAQAAAIC2TYkNAEDV9eqV3Hxz6dR1Jb/5TbL//snMmYXFAgAAAACqQIkNAEBN6NIlueSS5PDDK+9cfHEybFjyzjvF5QIAAAAAiqXEBgCgZnTokJx2WnLKKZV3br21dOvxl18uLBYAAAAAUCAlNgAANaWhITnqqORvf0s6dSq/c//9Sf/+yVNPFZsNAAAAAGh9SmwAAGrSPvskN96YLLFE+fl//lMqsu+5p9hcAAAAAEDrUmIDAFCztt46GTs2WX758vPXXkuGDCmV3QAAAABA26DEBgCgpn3hC8mECclnPlN+Pm1astNOyV//WmwuAAAAAKB1KLEBAKh5q6+ejB+ffOlL5eezZydf/3py4olJc3Ox2QAAAACAlqXEBgCgLiy7bHL77cmwYZV3fvaz5NvfLpXaAAAAAEB9UmIDAFA3undPrr46OfDAyjvnnJPsvnvy3nvF5QIAAAAAWo4SGwCAutKpU/KnPyXHHlt555prkq23Tt54o7BYAAAAAEALUWIDAFB3GhqSn/88Oe+8pEOF72gbG5OBA5MXXig2GwAAAACwaJTYAADUrW98o3R78a5dy88feyzp1y958MFicwEAAAAAC0+JDQBAXdtpp+T225Olly4/nzw52WyzZPToQmMBAAAAAAtJiQ0AQN3r3790+/BVVik/nzIl2Xbb5LLLis0FAAAAACw4JTYAAG3CWmslEyYkn/98+fmMGcleeyWnn15sLgAAAABgwSixAQBoM1ZaKRkzJtlii/Lz5ubke99LfvCDZM6cQqMBAAAAAPNJiQ0AQJuy5JLJjTeWTl1X8tvfJvvtVzqdDQAAAADUFiU2AABtTpcuyd//nhxxROWdv/892WGH0vOyAQAAAIDaocQGAKBN6tAh+d3vSh+VjByZbL558tJLxeUCAAAAAOZNiQ0AQJt2xBHJP/6RLLZY+fm//pX065c8+WShsQAAAACACpTYAAC0eXvvndx0U9KjR/n5c88l/fsnd99daCwAAAAAoAwlNgAA7cKWWyZjxyYrrFB+/vrryZAhyYgRxeYCAAAAAD5OiQ0AQLuxwQbJhAnJZz9bfv7ee8nOOyfnn19oLAAAAADgvyixAQBoV1ZbLWlsTDbdtPx8zpzk4IOTX/wiaW4uNBoAAAAAECU2AADt0DLLJLffnuy0U+Wd445LDjkkmTWruFwAAAAAgBIbAIB2qlu35Mork298o/LOH/+Y7LZbMm1acbkAAAAAoL1TYgMA0G516pSce27y859X3rnuumSrrZLXXy8uFwAAAAC0Z0psAADatYaG5Nhjkz/9KelQ4bvjCROSAQOS554rNBoAAAAAtEtKbAAASHLQQcm11yaLL15+/sQTSf/+yb/+VWgsAAAAAGh3lNgAAPD/DRuW3HFHsswy5ecvvpgMGlTaAQAAAABahxIbAAD+y6abJo2NyWqrlZ+/806y3XbJpZcWGgsAAAAA2g0lNgAA/I/PfjYZPz7ZYIPy85kzk733Tk49tdBYAAAAANAuKLEBAKCMFVdMxoxJttqq8s6RR5Y+5swpLhcAAAAAtHVKbAAAqKBnz+SGG5KvfKXyzqmnJl/9avL++8XlAgAAAIC2TIkNAADz0LlzcvHFyQ9+UHnnkkuSoUOTt98uLhcAAAAAtFVKbAAA+AQdOiQnn5z8/vdJQ0P5nTvuSAYNSiZPLjQaAAAAALQ5SmwAAJhPhx+eXHpp6XR2OQ8+mPTvnzz+eLG5AAAAAKAtUWIDAMAC2GOP5OabS8/LLuf555MBA5IJE4rNBQAAAABthRIbAAAW0JAhyZ13JiutVH7+xhvJFlsk111XbC4AAAAAaAuU2AAAsBA+97nSaeu11y4/nz49GT48+eMfi80FAAAAAPVOiQ0AAAtplVWSceNKz8EuZ86c5JvfTI47LmluLjYbAAAAANQrJTYAACyCpZdORo5Mdtml8s4vfpEcfHAya1ZhsQAAAACgbimxAQBgES2+eHLFFcm3vlV5589/LhXdU6cWFgsAAAAA6pISGwAAWkDHjslZZyUnnlh554Ybki23TF57rbhcAAAAAFBvlNgAANBCGhqSY44pnbru2LH8zt13JwMGJM8+W2w2AAAAAKgXSmwAAGhhX/96ct11Sbdu5edPPpn075888ECxuQAAAACgHiixAQCgFQwdmowalSy7bPn5Sy8lgwYlt91WbC4AAAAAqHVKbAAAaCWbbJKMH5+svnr5+bvvlsruv/+92FwAAAAAUMuU2AAA0Io+85lkwoRkww3Lz2fNSr761eSUU5Lm5mKzAQAAAEAtUmIDAEArW375ZPToZJttKu8cfXTy/e8nc+YUFgsAAAAAapISGwAACtCjR3L99cm++1beOf30ZO+9k/ffLy4XAAAAANQaJTYAABSkc+fkwguTH/6w8s5llyXbbZe89VZhsQAAAACgpiixAQCgQA0Nya9/nZxxRul1OaNHJ4MGJZMmFRoNAAAAAGqCEhsAAKrgu98tnbru3Ln8/KGHkn79ksceKzYXAAAAAFSbEhsAAKpk992TW29Nllyy/HzixGTAgKSxsdhcAAAAAFBNSmwAAKiizTdPxo1LVl65/PzNN5OttkquuabQWAAAAABQNUpsAACosvXWSyZMSNZZp/x8+vRkt92Sc84pNhcAAAAAVIMSGwAAakDfvqUT2ZttVn4+Z05y6KHJT3+aNDcXmw0AAAAAiqTEBgCAGrHUUqVnZO+6a+WdX/4yOfDAZObM4nIBAAAAQJGU2AAAUEO6dk0uuyz59rcr7/z1r8nOOydTpxaXCwAAAACKosQGAIAa07FjcuaZyUknVd656aZkyJDk1VeLywUAAAAARVBiAwBADWpoSH784+SCC0qldjn33pv075/85z+FRgMAAACAVqXEBgCAGrb//smIEUn37uXnTz+d9OuX3HdfsbkAAAAAoLUosQEAoMZtt10yenSy3HLl56+8kmy+eXLLLYXGAgAAAIBWocQGAIA6sNFGyfjxyac/XX4+dWoybFhy8cXF5gIAAACAlqbEBgCAOrHGGqUie6ONys9nzUr22y/5zW+S5uZiswEAAABAS1FiAwBAHendOxk1qnSL8Up+9KPksMOS2bOLywUAAAAALUWJDQAAdWaJJZLrrkv237/yzh/+kOy1VzJ9enG5AAAAAKAlKLEBAKAOLbZY8te/Jj/5SeWdK65Itt02eeutwmIBAAAAwCJTYgMAQJ1qaEh++cvSqeuGhvI7Y8cmAwcmTU3FZgMAAACAhaXEBgCAOvftb5dOXXfpUn7+yCNJv36lfwIAAABArVNiAwBAG7DrrslttyW9epWfNzWVTmTfeWehsQAAAABggSmxAQCgjdhss2TcuKRPn/Lzt95Ktt46ufLKQmMBAAAAwAJRYgMAQBuy7rrJhAnJeuuVn7//fvLlL5eeow0AAAAAtUiJDQAAbUyfPqXbhg8aVH7e3Jx897vJT35Seg0AAAAAtUSJDQAAbVCvXskttyS7715551e/Sg44IJk5s6hUAAAAAPDJlNgAANBGde2aXHpp6dR1JRddlOy4Y/Luu8XlAgAAAIB5UWIDAEAb1rFjcvrpyW9+U3nnlluSwYOTl18uLBYAAAAAVKTEBgCANq6hITn66NKp606dyu/cd18yYEDy9NPFZgMAAACA/6XEBgCAdmLffZMbbkiWWKL8/Jlnkv79k3vvLTYXAAAAAPw3JTYAALQj22yTjBmT9O5dfv7qq6Vbi990U6GxAAAAAOBDSmwAAGhnNtwwmTAhWWON8vNp05Idd0wuuKDQWAAAAACQRIkNAADt0qc+lYwfn2y8cfn57NnJ176WnHRS0txcbDYAAAAA2jclNgAAtFPLLZeMGpUMHVp555hjku98p1RqAwAAAEARlNgAANCOde+eXHtt8vWvV945++xkjz2S994rLhcAAAAA7ZcSGwAA2rlOnZLzz09++tPKO1ddlWyzTfLmm8XlAgAAAKB9UmIDAABpaEhOOCE555ykQ4W/JYwblwwcmLzwQrHZAAAAAGhflNgAAMCHDjkkufLKpGvX8vNHH036908eeqjYXAAAAAC0H0psAADgY3bZJRk5MllqqfLzSZOSzTZLxowpNBYAAAAA7YQSGwAAmMuAAUljY7LKKuXnb79dekb25ZcXmwsAAACAtk+JDQAAlLX22sn48cnnPld+PmNGsueeyRlnFJsLAAAAgLZNiQ0AAFS08srJ2LHJ4MHl583NyeGHJz/8YTJnTqHRAAAAAGijlNgAAMA8LblkcvPNyR57VN45+eRk//1Lp7MBAAAAYFEosQEAgE/UpUtyySXJ975Xeedvf0t23DF5553CYgEAAADQBimxAQCA+dKhQ3Laaclvf1t559ZbS7cef+mlwmIBAAAA0MYosQEAgAVy5JGlU9eLLVZ+fv/9Sf/+yVNPFZsLAAAAgLZBiQ0AACywffZJbrwxWWKJ8vNnny0V2ffcU2wuAAAAAOpf3ZbYr7zySkaMGJFjjz0222+/fZZddtk0NDSkoaEhBxxwQLXjAQBAm7fVVsnYsckKK5Sfv/ZaMmRIcsMNxeYCAACohilTkkcfLf0y76OPlv4MwMLpVO0AC2v55ZevdgQAAGj3vvCFZPz4ZLvtkiefnHs+bVqy887JH/+YfP3rxecDAABoTc3NyejRyVlnJddck8ye/dGsY8dk+PDk0EOTwYOThoYqhQSoQ3V7Evu/9e3bN9tss021YwAAQLu0+upJY2PypS+Vn8+enRx4YHLCCaUf8AAAALQF99+frL9+ssUWyZVXfrzATkp/vuKK0nz99Uv7AMyfui2xjz322Fx//fV56aWX8sILL+S8886rdiQAAGi3ll02ueOOZNiwyjvHHpt861tz/2AHAACg3tx2WzJoUPLII/O3/8gjpf3bbmvdXABtRd2W2D//+c8zbNgwtxUHAIAa0a1bcvXVyUEHVd4577xkt92S994rLhcAAEBLuv/+0m3Cp05dsM+bOrX0eU5kA3yyui2xAQCA2tOpU+n518cdV3nn2muTrbZK3nijuFwALLzHHnssJ510Urbffvusuuqq6d69ezp37pxll102/fv3z9FHH50HHnig2jEBoBDNzcl++y14gf2BqVOT/ff3qCWAT6LEBgAAWlRDQ3L88aUyu0OFv3GMH58MGJA8/3yh0QBYAI2Njdliiy2yzjrr5JhjjsnNN9+cF154IdOmTcvMmTPz+uuvZ8KECTnllFOy4YYbZuedd86LL75Y7dgA0KpGj57/W4hX8vDDyZgxLRIHoM1SYgMAAK3i4IOTa65JFl+8/Pzxx5N+/ZJ//7vQWAB8gqlTp+aggw7KwIEDM2rUqPn+vOuuuy4bbrhhHn300VZMBwDVdfbZtXUdgLaqU7UD1KqmpqZ5zv1mMQAAfLIdd0xuvz0ZNqz87cNffDEZNKhUdg8ZUng8AP7HCy+8kO23336hi+iXXnopW2+9df71r39lueWWa+F0AFBdU6YkV1/dMte66qrS9Xr2bJnrAbQ1SuwK+vbtW+0IAADQJvTrlzQ2JtttV/724VOmlGYXXZTsuWfx+QAoefrpp7P55ptn8uTJc80+//nP58tf/nK+8IUvpGfPnnn55Zdz++2358ILL8y0adM+tjt58uQceuihufzyy4uKDgCFeOKJZPbslrnW7NnJpElKbIBKlNgAAECrW2ut0nOwhw4tf/vwGTOSvfZKJk9Ovv/94vMBtHcvv/xyttlmm7kK7OWXXz5nnXVWdtttt7k+Z7fddsuRRx6Z7bffPk899dTHZldccUXuueeebLLJJq2aGwBa23PPJSNGJNdfn9xxR8te+513WvZ6AG2JEruCiRMnznP+4osv+osYAAAsgJVWSsaOTXbdtXSL8XKOOKJ0GuHkk5MOHYrNB9BezZo1K3vssUeeffbZj72/7rrr5uabb06fPn0qfu6nP/3p3Hjjjdlggw0yderUj83+8Ic/5KKLLmqVzADQWmbPTu6666Pi+pFHWu9r9ejRetcGqHdK7Arm9Rc0AABg4fTsmdx4Y3LAAckll5Tf+d3vSs/K/utfk86dC40H0C794he/yNixYz/23iqrrJKRI0dmhRVW+MTPX2ONNfL9738/J5544sfev/LKK3P++eens/8zB6DGvf12csstpeL6xhuT119v/a/ZqVOy8sqt/3UA6pWzDQAAQKE6d07+9rfkyCMr7/zjH6Vbj0+ZUlwugPbowQcfzK9//euPvdehQ4dcfvnl81Vgf+CQQw5JQ0PDx96bNm1aGhsbWyQnALS0p55KTjst2WKLZNllkz33TC6+uJgCO0mGD/c8bIB5UWIDAACF69Ah+e1vk1NPrbxz++3J5puXTmUD0DoOO+ywzJw582PvHXrooQv8CLWVV145a6211lzv33fffYuUDwBaysyZyejRyVFHJZ/9bLLmmqXHGY0alcyaVXyeQw8t/msC1BMlNgAAUDXf/37ptuKLLVZ+/q9/Jf37J088UWgsgHZhxIgRGTNmzMfeW3LJJXPCCScs1PU++9nPzvXe448/vlDXAoCW8Prryd//nuy1V7LccsmQIaXHFz355IJfq6Eh2XTT5IQTkk9/etFyrbde6Rd2AajMM7EBAICq2muvpHfvZJddknfemXv+3HPJgAGl59NtumnR6QDarv99hnWSfOtb30qvXr0W6nrLLbfcXO+96HYaABSouTl57LHS3x2uvz4ZPz6ZM2fhr7fEEsm22ybDhiXbb58sv3zp/aFDk0GDkqlTF/ya3bsnF15YKsUBqEyJDQAAVN0WWyR33ln6wVC5vuP110s7//xnsuOOxecDaGvGjh2bu++++2Pvde7cOYcffvhCX7Nbt25zvffGG28s9PUAYH68/34yduxHxfWzzy7a9VZfvfR3jmHDSkV1ly5z72y4YXL11aXnWi9Ikd29e+nzNtxw0TICtAd1W2KPGzcuTz/99Id/fu211z58/fTTT+eCCy742P4BBxxQUDIAAGBhfP7zyYQJpZMO5W4f/t57pdPa552XHHRQ4fEA2pTzzjtvrvd22GGHrLDCCi36dWbPnt2i1wOAJHnlleTGG0ul9a23Ju++u/DX6tChdOenYcNKH2uvPX+npLfeulSe77df8sgjn7y/3nqlE9gKbID5U7cl9vnnn58LL7yw7KyxsTGNjY0fe0+JDQAAtW/VVZPGxtLJhwkT5p7PmZMcfHAyaVJy7LFuwQewMN56661cddVVc72/7777LtJ133///bne69ChwyJdEwCS0m3CH3ywdNp6xIjk7rtL7y2sJZcs3QVq2LBku+2SZZZZuOtsuGHy0EPJmDHJWWeVTln/9+9vdepUOq196KGlZ2D7+wvA/KvbEhsAAGibllkmGTky2Xvv5Lrryu8cf3ypyD777NIPhgCYf9dee22mT5/+sfd69eqVHXbYYZGuO23atLne69GjxyJdE4D26733klGjPiquJ05ctOutueZHtwkfMCBZbLGWydnQkAweXPqYMqX095R33kl69EhWXjnp2bNlvg5Ae1O3P+654IIL5rplOAAA0DZ065ZceWXyne+Ubh9ezp/+lLz0UnLppaV9AObPlVdeOdd72223XTp37rxI13377bfnem+ppZZapGsC0L5MnpzccEOptB45Minz+1HzrVOn0jOthw1LdtihVGK3tp49ldYALaVuS2wAAKBt69QpOeec0umFY48tv3P99cmWW5b+ueyyxeYDqEczZszIHXfcMdf7i3oKO0lee+21ud5beeWVF/m6ALRdc+Yk99//0Wnr++5btOsts0wydGipuN5mm6RXrxaJCUAVKLEBAICa1dCQ/OxnyYorJocc8vHny33grruSgQOTm29OVlut8IgAdaWxsTFTp06d6/2llloqd9111yJdu6mpaa73Vl111UW6JgBtz9SppVPWI0aUTl2/+OKiXW/ddT+6TfimmyYdO7ZMzlr35ptv5plnnsnkyZPz0ksvZerUqXnvvffS0NCQHj16pEePHllppZXy+c9/Pr179652XIAFpsQGAABq3kEHJSuskOyxR+nZeP/riSeSfv2Sm25KNtig8HgAdWPMmDFl3x82bFirfL3PfOYzrXJdAOrL889/dJvwO+5I3n9/4a/VuXMyZMhHtwlfffWWy1nLbrnllowfPz533XVXHnrooby4AO3/SiutlF133TUHHHBAvvjFL7ZiSoCW09Dc3Nxc7RD1qKmpKX379k2STJw4MX369KlyIgAAaPvuvrv0g6rXXy8/79Ejufrq0i3GAZjbtttum1tvvbWwr/fcc885jQ3QDs2endxzT6m0vv765KGHFu16yy9f+nvAsGHJVluVvu9vbzp16pTZ5W5NtYD23nvvnHnmmVlmmWVaIBXQ1lWzD1ViLyQlNgAAVMeTTybbbps891z5+WKLJRdckHzlK0WmAqgPSy+9dN58881CvtaSSy6Zt956q5CvBUD1TZmS3Hprqbi+8cbk1VcX7Xpf+EKptB42LNloo6RDh5bJWa9aqsROktVXXz133XWX24wDn6iafajbiQMAAHVlzTWTCROSoUOTBx6Yez5zZrLPPqVn6x15ZPH5oAhz5szJG2+8kbfeeitvvfVW3n777Q8//vfPM2bMSHNz88c+5syZ87E/d+zY8cNnJ/bs2fPD1//95549e2allVZK796906G9/xS5Tk2cOLGwAjtJNt5448K+FgDV8cwzpdJ6xIhkzJjS9+ILq2vX0h2VdtyxdOraubHW8+yzz2aXXXZJY2NjGhoaqh0HoCwlNgAAUHdWWKH0Q7Lddktuu638zlFHJZMmJb/9rVMb1Jfm5ua89dZbeeGFFzJx4sQPP/77z01NTZm5KD8lXgSLLbZYVl555fTp0+djH3379k2fPn3ymc98JksttVRVsjFvjzzyyFzvLb744pk2bdoiX3vNNdfMU0899bH3+vXrt8jXBaC2zJqVjB//UXH92GOLdr2VViqdtN5xx2SLLZJu3VomJ59swoQJufrqq7PrrrtWOwpAWUpsAACgLvXoUfrB2de/nvz97+V3TjutdCL7gguSLl0KjQefqLm5OU1NTXnkkUfy6KOP5pFHHskjjzySxx57LFOmTKl2vIpmzpyZ5557Ls9Vuqd/kpVWWinrrrtu1l133ay33npZd911s84666Rnz57FBWUu/1syJ6XbiS6qF154oey1N99880W+NgDV9+abyc03l773vumm0p8XxcYbl0rrYcOSDTZIHASef127ds0mm2ySTTbZJOuss05WXXXVrLjiiunWrVsWX3zxzJo1K1OmTMnEiRNz77335oILLij77+gPnHrqqUpsoGYpsQEAgLrVuXNy0UWlExynnFJ+59JLk5dfTq6+OllyyWLzwQemTZuWe+65Jw888MCHZfWjjz5a02X1opg8eXImT56c2/7nVgl9+/bNuuuumy9+8YsZMGBANt10U6e2C/TCCy/M9d4qq6yyyNcdOXLkXO8tvvjiGThw4CJfG4DiNTcnTzzx0WnrceOSRXkUc/fuydZbl4rroUNLd1ViwV122WXZdttt071793nurbTSSllrrbWy9dZb56ijjsq2226b0aNHl929++67M3Xq1E+8JkA1KLEBAIC61qFDcvLJycorJ9//fumHbv9r1Khk0KDSyZGVVio+I+3Pyy+/nMbGxowbNy6NjY25//77M2vWrGrHqroPbod+8803f/jeuuuumwEDBqR///4ZMGBAPv3pT3s2YyuZPHnyXO+tuOKKi3zdciX2FltskS5ugQFQN2bMSO6886Pi+umnF+16q6760WnrzTcvPe+aRbMwJ6Y7d+6cvffeu2KJPWvWrNx1113ZcsstFzEdQMtTYgMAAG3C4YcnK66Y7Ltv6Ydw/+vBB5N+/Uq3Qlx77eLz0XY1NzfniSee+LCwHjduXJ5e1J/8tiMfnEz/4x//mCTp3bt3+vfvnyFDhmTo0KFZY401qpyw7XizzP1fl1lmmUW65vTp0zNixIi53t99990X6boAtL5XXy39kueIEckttySLcoOYhobS99ofFNfrrus24a3piSeeyA033JCHHnooTzzxRCZOnJipU6dm6tSpmVHuL0Pz0NTU1EopARaNEhsAAGgz9tgj6d072Xnn8j+Ee+GFZODA5Prrk/79i89H2/D+++/nvvvu+9hJ69dff73asdqMV155Jddcc02uueaaHH744VlzzTUzdOjQDB06NIMGDXK6dxG8++67c7235CI+Z+GGG27IO++887H3unTpkp133nmRrgtAy2tuTh5++KPT1hMmlL+L0fzq2TPZdttScb399smyy7ZcVsq7+uqrc9xxx+Whhx5qsWuW+yU3gFqgxAYAANqUwYNLz+3bbrukzJ1z88YbyZZblp6VrWNhfr366qu57rrrctVVV+X222/P+++/X+1I7caTTz6ZJ598Mr///e/TvXv3bLXVVh+W2n369Kl2vLrSXKapWNRfCrj00kvnem+33XbzrHOAGjF9ejJ69EfF9fPPL9r11ljjo9PWAwcmnTu3SEw+wYwZM7Lvvvvmsssua/FrT1mUI/gArUiJDQAAtDnrr186WbLddsljj809nz492XXX5Oyzk29+s/h81IempqZcc801ueqqqzJmzJjMmTOn2pHavalTp+baa6/NtddemyTZeOONs88++2TPPffMCiusUOV0ta9Tp7l/DLQo/7tuamr68L+L//ZN/8cKUFUvvZTccEOptL7ttmTq1IW/VseOpbL6g+J6zTXdJrwaDjjggFYpsJNF+14AoDUpsQEAgDZplVVKJ7J32ilpbJx7PmdOcsghyaRJyc9/7odxlDz99NO56qqrctVVV+Xuu++udpy5dOvWLauvvnpWX3319O3bN0sttVSWXHLJLLnkkunVq9eHrz/46NmzZzp16pSGhoaKH0kybdq0vPPOO5kyZUrZf7799tt56aWXMnHixDQ1NWXixIl5+eWXy57sLdK9996be++9N0cccUS23HLLfOUrX8nw4cMX+RbZbVW509HlbjE+v04//fTMnDnzY+9tuummGTRo0EJfE4AF19ycPPDAR6et77130a631FKl24PvuGPpduFurlFdt912Wy655JJqxwAonBIbAABos5ZeunT6ZJ99kquvLr9zwgml246fe25S5pAibVxzc3MeeeSRXHnllbnqqqvy4IMPVjVPly5dstpqq2X11Vcv+89ll132w+K5JS2xxBJZYoklsuKKK87358yYMSOTJ09OU1NTmpqa8sILL+Sxxx7LI488kkcffTRTF+XY1wKaM2dObrvtttx222055JBDsuOOO+YrX/lKhg4d6hna/6Xcf78vvvjiQl3r1VdfzR//+Me53v/Zz362UNcDYMFMm5bcfvtHxXW5x+gsiLXXLp203nHHpF8/3xfXkj//+c/znHfr1i3f+973sssuu2TNNddMjx490qFDhw/nF1xwQb72ta+1dkyAFudfRQAAQJu2+OLJ5Zcnhx1Wun14OX/+c+m2i//8Z9K9e7H5KF5zc3PuvffeD09cP/XUU4Vn6NSpU77whS9k0003zcYbb5w11lgjq632/9q77zApq8NtwM8uXVAsIKJgi4K9xIqIikqRYo2axBKNLZYkGhOjJsaSaoz6i1FjYu/GFg3VCgKKvRt7UAEV7Kh02O+P+WRjWNru7Ows3Pd1cTnse94zjyEOu/PMOWftdOjQ4WtvOpaz5s2bZ+21187aa68937W5c+fm7bffzksvvZSXXnopL7744rxyu77PE58xY0Zuv/323H777Wnbtm0OOeSQHHfccdlwww3r9Xkbgw022GC+r7344ou1mutnP/vZfGdo7rbbbunXr1+t5gNg0SZMqC6tH3igcERObTVrluy8c6G4HjAg+cY3ipeT4rrnnnsWen348OHp0aPHAq9/9tlnxY4EUBJKbAAAYKnXpEly8cXJ6qsnv/xlzWOGDEl23bXwpmD79qXNR/2bM2dOxowZM6+4njBhQkmfv1OnTunWrVu23377bL/99tlyyy3TqlWrkmYopcrKynnbng8YMGDe12fNmpVnnnkmDz/88Lxf77//fr3l+Oyzz3LxxRfn4osvzq677prjjz8+e+65Z41nQy8Lttlmm/m+9tRTT+Wjjz7KKqusstjzPPDAA7n22mu/9rXmzZvnz3/+c50zAlBt7tzC1uBfFdfPPlu3+dq1S/r3L6y27tUrWWGFosSkHn355Zf59NNPF3h9s802W2iBnSRjx44tciqA0lg2f2oDAACWORUVyS9+USiyjzoqmTNn/jGPP550754MH56su27pM1JcVVVVeeSRR3LttdfmrrvuygcffFCS523ZsmW23nrreYX1dtttl06dOpXkuctds2bNsu2222bbbbfNSSedlKqqqowbNy6PPPLIvFL7xRdfrJezth988ME8+OCDWWONNXLMMcfkqKOOymqrrVb05yln22yzTdq2bfu1FVmzZ8/O5ZdfnlNPPXWx5hg3bly++93vzvf1M888MxtvvHHRsgIsqz7/vHAczuDBhQ9ZTp5ct/k226x6m/Bttil8uJPGY1GrqKcvYjn+a6+9ljvvvLOYkQBKpqKqPn4yXAZMmDAhnTt3TpKMHz/eGxIAANCIDBuWfOtbhbMEa9KhQzJ0aPLNb5Y2F8UxderU3HTTTbnkkkvybF2XLC2Gb3zjG/MK627dumWzzTZLs2bN6v15l1aTJ0/OPffckyFDhuSee+5Z6OqjumjWrFn222+/nHDCCdlhhx3q5azxcnTkkUfOd7Zm27Zt8/zzz2fNNddc6L1vvPFGevfunXHjxn3t6717986wYcMazVb4AOVm3Ljq1dYjRyYzZ9Z+rhYtCrsLDRxYWHW9iJd2yty0adOy3HLLLfB6RUVFRo8ene7du893bfz48endu3deeeWVhT7HmWeembPOOquuUYGlVEP2oUrsWlJiAwBA4/bEE4U39ha0OLdNm+TOOwtbLdI4vPHGG7n00ktz9dVX11vxmSTrr79+9t577+y0007Zbrvt0t7+8/Vm9uzZGTt2bIYOHZqhQ4fm+eefr5fn6d69e37xi1+kb9++S32Z/eyzz+ab3/zmfKvdN9poowwZMqTGM86rqqpy00035Uc/+lE+/vjjr13r2rVrHn744SXajhxgWTdnTvLoo8mgQYXi+qWX6jbfaqtVr7bebbekdevi5KQ8rL322nn77bcXeH2llVbKKaeckt69e2e11VbL5MmTM2TIkFxwwQXz/b1dEyU2sDBK7EZIiQ0AAI3fG28kffok//lPzdebNk2uvjo5+ODS5mLxzZkzJ8OGDcsll1yS4cOH19vzbLHFFtl3332z7777ZqONNlrqi85yNX78+AwdOjS33nprRowYUfRtx7/5zW/ml7/8Zfbaa6+lelXxd77zndxyyy3zfb1169Y57LDDsttuu2XVVVfNZ599lqeffjq33HJLXqqhYVlrrbUyatSoRa7gBiD57LPknnsKxfWwYclHH9Vtvq22qi6ut9wyWYr/2lrmnXDCCbnkkkvqbX4lNrAwSuxGSIkNAABLh0mTCiuyn3pqwWPOPTf52c8K52pTHj766KNcddVV+etf/zrf1sbF0q1bt3nF9boOSS87EydOzD/+8Y/ceOONefrpp4s698Ybb5zTTz89BxxwQJo2bVrUucvBhx9+mC222CITJ06s9RybbbZZhg0bltVXX72IyQCWLq+/Xr3aevToZPbs2s/VqlVhh6ABAwrfu3r5XXaMGzcuG2ywQWbWYp/5ysrKHHroobnmmmsWOEaJDSxMQ/ahPp8FAAAs0zp0KJw92KfPgsf8/OfJiScmc+eWKhUL8uSTT+bwww9Pp06dcsoppxS1wG7SpEl22223XHLJJZk4cWIeeeSR/PSnP1Vgl6k11lgjP/nJT/LUU0/l5ZdfzhlnnFG0P6uXXnopBx10UDbYYINceeWVtXrTuJy1a9cu9913X1ZbbbUlvreioiLHHHNMHn30UQU2wP+YNavwfeXJJydduyZduhQejxhRuwK7c+fk2GOTIUMKK7fvvjs56igF9rJmnXXWyXnnnVerey+44ILsvPPORU4EUBpKbAAAYJnXpk1hlcyhhy54zEUXJd/+djJ9eulyUTBjxoxcf/312X777bPNNtvkmmuuyfQi/UE0b948AwYMyNVXX51Jkybl/vvvz3HHHaeca2Q22GCDnHPOOXnjjTfy6KOP5thjj02bNm3qPO+bb76ZI488Ml27ds3NN9+cuUvRJ1k23HDDPPPMM9lrr70W+57ddtstY8eOzWWXXZZWrVrVYzqAxuOjj5Ibbih8n9i+fdKzZ3LBBclrry35XBUVyfbbJ7/5TfLcc8nbbyeXXpr061dYic2y60c/+lF+97vfLfZxJ02bNs1f/vKX/PjHP67nZAD1Z+nbEwsAAKAWmjVLrrmmsLLlD3+oecxttyWTJyd33ZWsuGIJwy2j3nnnnVx22WW54oor8sEHHxRt3tatW6d///7Zd999069fvyy//PJFm5uGVVFRke222y7bbbdd/vCHP+T666/PJZdckpdffrlO87711lv57ne/mwsuuCDnnXdedtlll+IEbmCrrbZa7rrrrjzzzDO58cYbM2bMmLz++uuZMmVKmjZtmnbt2mWjjTbKTjvtlH333TcbbrhhQ0cGaHBVVcnLL1dvE/7II3XbradNm8KOQAMGFMrqVVctXlaWLqeddlp22mmnnHXWWbn//vtrHFNZWZl+/frlN7/5TTbffPMSJwQoLmdi15IzsQEAYOl18cXJj35UeJOyJptskgwfnqyxRmlzLQuqqqrywAMP5OKLL86gQYOKtvK1VatW2X///fOtb30ru+++u1Wky5CqqqqMGDEil1xySe6+++7MmTOnznMOGDAg5557bjbaaKMiJASg3M2YkYwaVV1c1/U0k3XWSQYOLPzq0SNp0aI4OVl2vP/++xk9enQmTpyYL774Im3atMk3vvGN7LDDDllllVUaOh6wFGnIPlSJXUtKbAAAWLrdfnty8MGFNy1r0rlzocjWYRXH3Llz889//jNnnXVWXnzxxaLN+41vfCPHHXdcDj/88Ky00kpFm5fGacKECfnb3/6Wyy+/PJMmTarTXJWVlTniiCNy9tlnp2PHjkVKCEC5mDy5cBb14MHJvfcmX3xR+7kqK5Pu3QurrQcOTDbYoLB1OACUOyV2I6TEBgCApd+oUcmeeyaffVbz9RVXLKzI2XHHksZaqlRVVWXIkCH51a9+lWeeeaYoc1ZUVKRfv3454YQT0rt378U+O5Blx4wZM3L11Vfnt7/9bSZMmFCnuVq3bp2f/vSn+dnPfpbWrVsXKSEApVZVlTz/fPVq68cfX/CuPIujbdtkjz0KxfUeeyQrr1y8rABQKkrsRkiJDQAAy4YXXyy88bignqtFi+Smm5J99y1trsauqqoq999/f84444w89thjRZlz5ZVXzhFHHJEf/OAHWXfddYsyJ0u3GTNm5Kqrrsrvfve7OpfZ66yzTi677LL07t27SOkAqG/TpiUjRlQX13X8qyBduxZK6wEDCiuvmzUrTk4AaChK7EZIiQ0AAMuO8eMLRfZLL9V8vaKicI72cceVNldjNWrUqPzyl7/M6NGjizLfVlttlRNOOCEHHnigs66plWKW2QcffHAuuOCCtG/fvkjpACimd98tbBM+aFBy//2FIru2mjZNdtqpurhef/3i5QSAcqDEboSU2AAAsGz55JNkr72ShfWup5+e/OY3zjhckEcffTRnnHFG7r///jrP1bx58xx44IE5/vjjs+2226bC/+gUQbHK7FVWWSUXXHBBDjnkEP/fBGhgc+cmTz9dWGk9aFDhcV2sskrSr1+htO7Tp7BtOAAsrZTYjZASGwAAlj3TpycHH5zccceCxxx2WPL3v9s+8r89/fTT+dWvfpUhQ4bUea4111wzP/jBD3LkkUda6Uq9KVaZ3atXr1x22WW2twcosS+/LKyyHjSosOr6/ffrNt8mm1Svtt5++6RJk+LkBIByp8RuhJTYAACwbJozJ/nxj5NLLlnwmD32SG69NWnTpnS5ytGLL76YM888M3feeWed5+rVq1eOP/74DBgwIE28c0yJFKPMbtWqVc4666z85Cc/SdOmTYucEICvvP129TbhI0YkM2bUfq7mzZOePQuldf/+yTrrFC8nADQmSuxGSIkNAADLrqqq5Nxzk9NOW/CYrbcuvJG66qqly1UuXnvttZx11lm55ZZbUpcfOZdffvkcfvjhOe6449K1a9ciJoQlM2PGjFxyySX51a9+lS+//LJWc2yxxRa54oorstVWWxU5HcCyac6c5PHHC6X14MHJCy/Ubb4OHQqF9YABSa9ePowIAIkSu1FSYgMAANddlxxxRDJ7ds3X11svGT48+cY3SpuroYwbNy7nnHNOrrvuusydO7fW87Ru3TonnnhiTj755Ky00kpFTAh1M378+Jx44om13l2gsrIyJ554Ys4555y0bt26yOkAln5TpiT33lsorocOTT78sG7zbbll9TbhW2+dVFYWJycALC2U2I2QEhsAAEgKJfW3vlU4e7Em7dsX3mTdeuvS5iql8ePH5ze/+U2uuuqqzF5Qo78YWrVqleOPPz6nnHKK864pa4MHD84JJ5yQt99+u1b3r7XWWrnsssvSt2/fIicDWPq8+WZhpfWgQcmoUcmsWbWfq2XLZPfdq7cJ95YuACycErsRUmIDAABfefLJwhuhkyfXfL116+SOO5I+fUqbq75NmjQpv/3tb/O3v/0tM2fOrPU8zZs3zzHHHJPTTjstHTt2LGJCqD9ffvllzjnnnFxwwQW1/vDGySefnN///vdp1qxZkdMBNF6zZyePPFJdXL/ySt3mW2ON6tXWu+6aLLdccXICwLJAid0IKbEBAID/9uabhZL6zTdrvt60aXLllcmhh5Y21+KYOnVqpk6dmnbt2i3W+JkzZ+aiiy7KOeeck88//7zWz9u0adN8//vfzy9/+ct5P19BY/PCCy/kBz/4QR555JFa3b/DDjvkH//4h/cVgGXaJ58UdrcZPDgZNqzw+7rYdtvq4nqLLZKKiqLEBIBljhK7EVJiAwAA/2vy5MKK7CefXPCY3/8++fnPy+vN1NNOOy2TJ0/OlVdeucixQ4cOzUknnZTXXnut1s9XWVmZQw89NGeccUbWXXfdWs8D5WLu3Lm56qqrcsopp+STWjQv7dq1y4033pjevXvXQzqA8lNVlbz6avVq64cfTubMqf18rVsnvXsXSut+/ZLVViteVgBYlimxGyElNgAAUJMvvkgOOKCwimhBjj8++fOfkyZNSpdrQV566aVsscUWmT17dh5++OHssMMONY577bXXctJJJ2Xo0KG1fq6Kiop8+9vfzplnnpmuXbvWeh4oVx988EF+9rOf5dprr13ieysqKvLLX/4yZ555ZpqUw4sDQJHNnJmMHl1dXC9o95rFtdZaycCBheJ6550L510DAMWlxG6ElNgAAMCCzJqVHH10cs01Cx6z337JDTc07Buuc+fOzc4775wxY8YkSbbYYos88cQTadq06bwxU6ZMya9//ev8+c9/zqxZs2r9XPvuu2/OPvvsbLLJJnXODeVu5MiR+cEPfpBXX311ie/dddddc9NNN6VDhw71kAygtD74oPDBvkGDknvuSepwCkkqK5Nu3aq3Cd944/La2QYAlkYN2YdWluyZAAAAlhHNmiVXXZX84hcLHnPHHYVtL+t65mNdXHPNNfMK7CR59tln89e//jVJ9fbI66+/fv70pz/VusDu379/nnrqqdxxxx0KbJYZu+yyS5577rn8+te/TosWLZbo3gcffDBbbrllRo0aVU/pAOpPVVXywguF41N22CHp0CH53veS22+vXYG9wgqFHW6uuy6ZNCkZMyY59dRkk00U2ACwtLMSu5asxAYAABbHpZcmJ5xQeFO3JhtvXFih9P9/vCiZDz/8MF27ds3HH3/8ta+vsMIKuf766/PrX/86Ty7scO9F2H333fPrX/8622+/fV2jQqP2xhtv5Pjjj8+99967RPdVVlbmt7/9bU455ZRUVlqDAJSv6dOTkSML24QPHpy8/Xbd5ltvveptwnfcMWnevCgxAYBasJ14I6TEBgAAFtc//5l85zvJjBk1X19jjWT48MKqolL5/ve/n6uvvrro8/bo0SO/+c1vstNOOxV9bmisqqqqcvPNN+cHP/hBPl/CpYj9+/fPtddem1VWWaWe0gEsuffeS4YOLWwTft99ydSptZ+rSZOkR4/qbcK7di1eTgCgbpTYjZASGwAAWBJjxhRWFX36ac3XV1wxufvupBTd76hRo7LzzjsXdc4uXbrkwgsvzB577JEK+3tCjV5//fXsv//+ee6555bovjXXXDO33nprtttuu3pKBrBwVVXJM89Ur7Z+4om6zbfSSkm/foXSuk+fwu8BgPLjTGwAAICl3I47Jg8/vOBtwz/9tHBG9u2312+OmTNn5thjjy3afCussEL+9Kc/5YUXXki/fv0U2LAQ66+/fsaOHZsjjzxyie5755130qNHj1x00UWxFgEolalTCyutjzkm6dQp2Wqr5Mwza19gb7hhcsopyahRyeTJyQ03JN/+tgIbAKiZEhsAAKBENtooGTs22XTTmq/PmJEccEBy8cX1l+GCCy7Iv//97zrPU1FRkSOOOCKvvfZaTj755DR3YCUsllatWuXyyy/Ptddem1atWi32fbNmzcqPf/zjHHDAAfnss8/qMSGwLBs/PrnsssIK6VVWSfbcM/n735N3313yuZo1S3bfPfnzn5M33kj+/e/k3HMLW4c3bVr87ADA0sV24rVkO3EAAKC2Pv002Xvv5KGHFjzm1FOT3/0uKebC5rfeeisbbbRRpk2bVqd5unXrlosuuihbb711kZLBsunFF1/M/vvvn1deeWWJ7ltvvfVy2223ZYsttqifYMAyY+7cwsrqr7YJf/bZus3Xvn3Sv3+hBO/VK1lhhaLEBAAaiO3EAQAAliErrpgMH57sv/+Cx/zhD8lhhyWzZhXveU8++eQ6Fdirr756brjhhjz88MMKbCiCTTbZJE888US+853vLNF9b7zxRrbffvtcf/319ZQMWJp9/nly553J97+fdOyYbL998pvf1L7A3myz5Be/KOw28957ydVXJ/vtp8AGAOrGxi0AAAANoGXL5JZbCm8eX3RRzWOuuy55//3COdnLL1+357v//vtz55131ureFi1a5OSTT85pp52WNm3a1C0I8DVt2rTJjTfemB49euTEE0/MzJkzF+u+GTNm5NBDD83777+fn/3sZ/WcEmjsxo2rXm09cmSymC81NWrRItltt8Jq6/79kzXXLFpMAIB5bCdeS7YTBwAAiqGqKvnTn5JTTlnwmK22SoYMSTp0qN1zzJo1K5tvvnlefvnlWt3fpUuXPP/882nRokXtAgCL5amnnsr++++fcePGLdF9J598cv74xz+mstKGe0DB7NnJo48WSutBgwrnUddFx46F0nrAgEKB3bp1cXICAOXNduIAAADLqIqK5Gc/S66/Pmm6gL2ynnoq2WGH5PXXa/ccF198ca0L7CR57bXXcuGFF9b6fmDxbLXVVnnqqaey1157LdF9559/fr73ve9lVjHPHwAanU8/Tf7xj+SQQwoffOvRIzn33NoX2FtvnZx1VvLkk8mECcnf/57suacCGwAoDSuxa8lKbAAAoNjuuy/Zd9/kiy9qvt6uXWFF9rbbLv6ckyZNSpcuXTJlypQ6ZVtuueXy8ssvZ017hkK9q6qqyvnnn59TTz01c+bMWez7+vbtm9tvvz2tNUywzHjtteptwkePLqzArq3llkt69Sqstu7XL1l99eLlBAAaJyuxAQAASK9eyUMPLXjb8A8/THr2TIYNW/w5TzvttDoX2EkyderUnHTSSXWeB1i0ioqK/PSnP81DDz2UNdZYY7HvGz58eHbdddd8+OGH9ZgOaEizZiUjRiQnn5x07Vr4dfLJha/VpsDu3Dk57rhk6NDC9xl33ZUceaQCGwBoeFZi15KV2AAAQH35z3+Svn0XvH14kybJFVckhx228Hkee+yxbL/99kXNNmzYsPTt27eocwIL9sEHH+Sggw7Kfffdt9j3dO3aNffcc0/WWmutekwGlMpHHxU+wDZ4cDJ8ePLZZ7Wfq6Ii2W67ZODAworrTTctfA0AoCYN2Ycu4MQ1AAAAGsq66yYPP1x4c/nxx+e/PmdOcvjhycSJyemn1/zm89y5c/PDH/6wVs/ftGnTtGvXLu3atUv79u2/9s8ZM2bUak6gdtq3b59hw4blnHPOyTnnnLNY97z66qvp3r17hg8fnk022aSeEwLFVlVVOMf6q23CH3kkmTu39vO1aZP06VMorvfYI1l11eJlBQCoL0psAACAMtS+ffLgg8mBBxbOwa7JL39ZKLL/8pfC6uz/ds011+SJJ56Y75527dplrbXWytprr5211lora621VtZcc8106NBhXlndtm3bVFiWBWWjSZMmOfvss9O5c+ccc8wxmbsYbdbEiRPTo0ePDBo0KDvuuGMJUgJ1MWNG4UiRr4rrcePqNt+661avtt5pp6R58+LkBAAoFduJ15LtxAEAgFKYPTs55pjkqqsWPGaffZIbb0xatSr8fs6cOTn55JPTsmXLr5XVa621Vlq3bl2a4EC9uPvuu/Ptb38706dPX6zxLVu2zK233pqBAwfWczJgSU2aVDiLevDg5N57ky++qP1clZVJ9+7VxfUGG9gmHACou4bsQ5XYtaTEBgAASqWqKjnzzOTXv17wmO7dk3/9K1l55dLlAhrG6NGjM3DgwHy2mAfjNmnSJH//+9/z/e9/v56TAQtTVZU891z1auvHHy98rbZWXDHp27dQXPft63sAAKD4nIkNAADAAlVUJOeck6yxRnLccTWfi/nww8mOOybDhydrrln6jEDp9OjRI6NHj06fPn3y3nvvLXL8nDlzcsQRR2TSpEk59dRTHRcAJTRtWuF4kK+K6wkT6jZf167Vq6132CFp1qw4OQEAyo0SGwAAoJE45phktdWSb387qWkn4ZdfTrp1KxTZm25a+nxA6Wy66aZ55JFH0qdPn7z22muLdc/pp5+e999/PxdeeGEqKyvrOSEsu959t7q0vv/+QpFdW02bFs60Hjgw6d8/WX/94uUEAChnSmwAAIBGZK+9kgceKLyZ/fHH819/993Ciuy770522aXk8YASWnvttTNmzJj069cvTz755GLdc9FFF2Xy5Mm59tpr07x583pOCMuGuXOTp56qLq6ffrpu862yStKvX+Hv+t69k7Zti5MTAKAxUWIDAAA0MjvskIwZUzj/8p135r8+ZUrSp09y/fXJAQeUPh9QOu3bt8+IESOy33775d57712se2655ZZ8+OGHufPOO7P88svXc0JYOn35ZXLffYXSesiQ5P336zbfJpsUtggfODDZbrukSZPi5AQAaKyU2AAAAI3QhhsmY8cme+yRPP/8/NdnzixsO/7ee8mPf1z6fEDptGnTJoMGDcphhx2Wm2++ebHuuf/++9OrV6/cd999imxYTG+/Xb3aesSIZMaM2s/VvHnSs2ehuB4wIFl77aLFBABYKiixAQAAGqnVV09GjUr22afwZvr/qqpKTjwxmTgx+cMfEkfgwtKrefPmueGGG9K+fftcdNFFi3XPY489lr322itDhw5Ny5Yt6zkhND5z5iSPPVZdXL/wQt3m69ChcK71wIHJ7rsnbdoUJycAwNJIiQ0AANCItW2bDBuWfO97yT/+UfOY884rnJV91VWFlV/A0qmysjL/93//l44dO+a0005brHtGjBiRAw44IHfccUeaNWtWzwmh/E2ZktxzT6G0Hjo0+fDDus235ZbV24RvtZUPlAEALC4lNgAAQCPXokVy002FldkXXljzmBtvTCZNSu68M7FzMCy9Kioqcuqpp2bVVVfNUUcdlblz5y7ynq+2Ir/++utTqWFjGfTGG9WrrR96KJk9u/ZztWxZWGU9cGDSr1/SqVPxcgIALEuU2AAAAEuBysrkgguSNdZIfvrTmsfcf3+y886FlWWrrVbafEBpff/730+7du1y4IEHZvr06Yscf9NNN2WFFVbIpZdemoqKihIkhIYze3byyCPJoEGF4vqVV+o23xprVK+27tkzWW654uQEAFiWKbEBAACWIiefnHTsmBx2WDJr1vzXn3km6datsFVqly4ljweU0J577pn77rsvAwcOzKeffrrI8Zdddlnatm2bP/zhD/UfDkrsk0+S4cMLxfWwYcli/CexUNtuW11cb7554rMfAADFpcQGAABYynz3u0mHDsk++ySffz7/9bfeSnbYIRkyJNluu5LHA0poxx13zOjRo9O7d++89957ixx/7rnnpm3btot9pjaUq6qq5NVXq1dbP/xwMmdO7edr3Trp3btQXPfrZ0cTAID6psQGAABYCu22WzJqVLLHHsn7789//aOPClue3npr4Q15YOm1ySab5P77789OO+2Ujz76aJHjTz/99Kywwgo5/vjjS5AOimfmzGT06Ori+s036zbfWmsVVloPGJDsskvSokVRYgIAsBiU2AAAAEupLbZIxo5N+vYtrEb7X9OmJXvvnfztb8kRR5Q6HVBKG220Ue6555707Nkzn9e0RcP/OOGEE7LCCivkkEMOKUE6qL0PPkiGDi2U1vfcU/MOJIursrJw5MZX24RvtJFtwgEAGooSGwAAYCm29trJmDGFN+MffXT+63PmJEcemUycmJxxhjfrYWm21VZbZfDgwenTp0+mT5++yPGHH354ll9++ey99971Hw4WU1VV8uKL1autH3208LXaWmGFwoe9Bgwo7F7Srl3xsgIAUHsVVVV1+TZv2TVhwoR07tw5STJ+/Ph06tSpgRMBAAAs2NSpybe/XXjTf0GOPjq55JKkqY87w1Jt2LBh2WuvvTJr1qxFjm3evHmGDBmS3XffvQTJoGbTpycjR1YX1++8U7f51luvepvwHj2SZs2KEhMAYKnTkH2oEruWlNgAAEBjM3t2ctxxyeWXL3jMnnsmN9+cLLdc6XIBpXfbbbfl29/+dubOnbvIscstt1zuv//+dOvWrQTJoOC995IhQwql9X33FT6MVVtNmhTK6q+2Ce/SpXg5AQCWZg3Zh/p8PQAAwDKiadPC+ddrrJGcdVbNY/71r2T33Qur3VZZpaTxgBLaf//9M2XKlBx55JGLHDt16tT069cvI0eOzOabb16CdCyLqqqSZ56pXm395JN1m2+llZJ+/QrFdd++yYorFiUmAAAlosQGAABYhlRUJGeemay+evKDHyQ1LcIcOzbp3j0ZPrxwpjawdDriiCMyZcqU/OQnP1nk2E8//TS9e/fO6NGj08UyVopk6tTkgQcKxfWQIcm779Ztvo02ql5tvf32jscAAGjMfCsHAACwDDrqqGS11ZIDD0ymTZv/+quvJjvskAwbllh4CUuvk046KZ9++mnOOeecRY6dPHlydt9994wZMyZrrrlmCdKxNBo/vlBYDxqUPPhg4bzr2mrWLNlll0JxPWBAsu66RYsJAEADU2IDAAAsowYOLBQIAwYkH300//X33kt22in55z+TXXctfT6gNM4666x89tln+fOf/7zIsePHj8/uu++e0aNHp0OHDiVIR2M3d27yxBOFLcIHDUqee65u87Vvn/TvX/i7q1evZIUVipMTAIDyosQGAABYhm2/ffLww0mfPsnbb89/fcqUwlmi112XfPvbpc8H1L+KiopccMEFmTJlSq6++upFjn/99dfTu3fvjBw5MiuttFIJEtLYfP55ct99hdJ66NBk8uS6zbf55tWrrbfdNqmsLE5OAADKlxIbAABgGde1a+Ec7H79kmefnf/6rFnJd75TOKt0MY7OBRqhysrK/P3vf8+UKVNyxx13LHL8888/n3322Sf33XdfmjVrVoKElLtx46pXW48cWfi7o7ZatEh2261QWvfvn9i9HgBg2aPEBgAAIB07Jg89lOy7b/LAAzWPOfnkZOLE5LzzrIKDpVHTpk1z44035osvvsg999yzyPEPPfRQTjzxxFxyySUlSEe5mT07efTRQmk9eHDy73/Xbb6OHatXW++2W9K6dXFyAgDQOCmxAQAASFI4V3To0OTww5Obbqp5zAUXFM7Kvvrqwko5YOnSokWL3HHHHenTp08efvjhRY6/9NJLs/nmm+foo48uQToa2qefJvfcUyiuhw1LPv64bvNtvXV1cb3llj4gBQBANSU2AAAA8zRvnlx/fbL66smf/lTzmJtvTiZNSv75z0LxDSxdWrdunSFDhqRnz5555plnFjn++OOPz4YbbpgePXqUIB2l9tpr1duEjx6dzJlT+7mWWy7p1at6m/COHYuXEwCApYsSGwAAgK+prCxsGb7GGslJJ9U85sEHk512KqzEU0LA0qdt27a55557stNOO+WVV15Z6NjZs2dnv/32y5NPPpk1HV7c6M2alYwZU11cv/563ebr3DkZOLBQXPfsmbRsWZycAAAs3ZTYAAAA1OjEEwsF9aGHJjNnzn/9ueeSbt0KW8t27VryeEA9a9++fe67777suOOOefvttxc69oMPPsjee++dMWPGZLnllitRQorlo48KH0oaPDgZPjz57LPaz1VRkWy/ffU24ZtuWvgaAAAsCSU2AAAAC3TggcmqqyZ7751MmTL/9bffTnbYoVB8dOtW8nhAPevUqVOGDRuW7bbbLp9//vlCxz7zzDP5/ve/n5tvvjkVWsuyVlWV/Pvf1autx45N5s6t/XzLL5/06VMorffYo/D3BgAA1IUSGwAAgIXq2TMZNapQTLz33vzXP/442W235JZbkj33LH0+oH5tuOGGuemmm7LnnnumqqpqoWP/8Y9/ZPPNN89pp51WonQsrhkzkoceKhTXgwcn48bVbb51163eJnynnZLmzYuTEwAAkqSialE/fVCjCRMmpHPnzkmS8ePHp1OnTg2cCAAAoH69/XbSt2+yoONxKyuTyy5LjjqqtLmA0vj973+f008/fZHjKioqcvfdd2fgwIElSMXCTJqUDB1aKK3vvTf54ovaz1VZmey4Y/U24RtsYJtwAIClXUP2oVZiAwAAsFjWWisZM6aw2vqRR+a/PnducvTRycSJyZlnKjdgaXPqqafm+eefzy233LLQcVVVVTnooIPy6KOPZqONNipROpLCNuHPPVe9Tfjjj9dtvhVXLOzCMWBA4UNMK69clJgAALBISmwAAAAW2yqrJPffn3znO8ndd9c85uyzC0X2X/+aNPVTJyw1KioqcuWVV+bVV1/NM888s9Cxn3/+efbaa688/vjjWWmllUqUcNk0bVry4IPV24RPmFC3+TbYoHq19Q47JM2aFScnAAAsCW8nAAAAsERatUruuCM54YTC9uE1ueKK5P33k3/8I1luudLmA+rPcsstl7vuuivbbLNNJk+evNCxb7zxRg488MAMHTo0TX2ipagmTkyGDCmstn7ggUKRXVtNmyY771xdXK+3XvFyAgBAbfkJAgAAgCXWpEly6aXJGmskZ5xR85jBg5Nddy38s1270uYD6s+aa66ZO+64I7vuumtmzZq10LH33Xdffv7zn+f8888vUbql09y5yVNPVa+2fvrpus3Xrl3Sr1+htO7dO2nbtjg5AQCgWJTYAAAA1EpFRfLLXyYdOybHHJPMmTP/mMceS7p3T4YPT9ZZp/QZgfqx44475pJLLsnRRx+9yLEXXHBBNt988xx66KElSLb0+OKLwvENgwcXVl2//37d5ttkk2TgwEJxvd12hQ8jAQBAuVJiAwAAUCdHHJGstlpywAHJ1KnzX3/ttcK5qkOHJltuWfp8QP046qij8uyzz+bSSy9d5Nijjz46Xbt2zXbbbVeCZI3X229Xr7YeMSKZMaP2czVvnvTsWSiu+/dP1l67aDEBAKDeVVRVVVU1dIjGaMKECencuXOSZPz48enUqVMDJwIAAGhYjz9eKEo+/LDm68svn9x5Z7L77qXNBdSfWbNmpXfv3hk5cuQix3bs2DFPPvlkVl999foP1kjMmVPYseKr4vqFF+o2X4cO1Wdb77570qZNcXICALBsasg+1EpsAAAAimLbbZOHH0769k3GjZv/+uefF85gvfrq5KCDSp8PKL5mzZrltttuyzbbbJO33nproWPfe++97LPPPnnooYfSsmXL0gQsQ599ltx7b6G0Hjp0wR/8WVxbblm9TfhWWyWVlcXJCQAADUmJDQAAQNF06ZI88khhRfbTT89/fdas5OCDk/feS04+uXCuNtC4tWvXLnfffXe6deuWqTWdKfBfHn/88RxzzDG55pprUrEMvQC88Ub1auuHHkpmz679XK1aFVZZDxhQeK1dY43i5QQAgHKhxAYAAKCoVlstGTky2W+/5L77ah7zs58lEycm559v1SAsDTbbbLNcd911+da3vrXIsdddd10233zz/OQnPylBsoYxe3ZhZ4rBg5NBg5JXX63bfJ06VW8T3rNnstxyxckJAADlypnYteRMbAAAgIWbOTM54ojkhhsWPOaAA5LrrktatChdLqD+nHnmmTnnnHMWOa6ysjIjRozITjvtVIJUpfHxx8nw4YXietiw5NNP6zbftttWbxO++eZ2rgAAoPSciQ0AAMBSp3nz5Nprk9VXT/74x5rH3HprMnlyctddSdu2JY0H1IMzzzwzL7zwQv75z38udNzcuXPz3e9+N88++2zatWtXonTFVVWVvPJK9TbhDz+czJlT+/natEl69y6U1v36JR06FC8rAAA0NkpsAAAA6k1lZXLuuYUzW088sVD6/K+RI5MePQorF53tCo1bZWVlrr322rz++ut58cUXFzp24sSJOfzww/Ovf/2r0ZyPPXNmMmpUdXH95pt1m2/ttatXW++8s10pAADgK0psAAAA6t2PfpR07JgcfHChBPpfL7yQ7LBDYSveDTcsfT6geJZffvncfffd2WabbfLxxx8vdOzgwYPzf//3fznppJNKlG7JffBBMnRoobS+557k889rP1dlZdKtW3VxvdFGtgkHAICaOBO7lpyJDQAAsORGjkz23jv57LOar6+0UjJoUNK9eylTAfXhwQcfTO/evTNnEXtsN2vWLI888ki23nrrEiVbuKqqwgdrvlpt/eijNe8isbhWWCHp27dQXPftmzTS3dMBAFgGNWQfWlmyZwIAAGCZt8suyejRC942/JNPkt13L5yRDTRuu+66a/74xz8uctysWbNy4IEH5rMFfbqlBKZPLxxpcPzxhS2+N988+cUvkrFja1dgr7dectJJyYMPJh9+mPzjH4WdKBTYAACweJTYAAAAlNSmmxaKoY02qvn69OnJfvsll11W2lxA8Z100kkZMGDAIsf95z//ydFHH51Sbhj43nvJFVcUdodYZZWkX7/k0kuTd95Z8rmaNCl8SOf885NXX01efz254IKkZ8+kWbNiJwcAgKWfM7EBAAAouc6dCyuy99orGTNm/utz5ybHHptMnJicc44zY6GxqqioyNVXX50tttgiEydOXOjYW2+9NbvttluOPvroeslSVZU8/XT1NuFPPlm3+VZeOdljj8I24X36JCuuWJSYAABAnIlda87EBgAAqLtp05KDDkr++c8Fj/n+9wursq1mhMZr9OjR2WWXXTJ37tyFjmvZsmUef/zxbLrppkV53i+/TB54oFBaDxmSvPtu3ebbaKNCaT1gQLL99klTy0MAAFiKORMbAACAZVKrVslttyXHHbfgMVddVdju98svSxYLKLIePXrkrLPOWuS46dOn58ADD8yXdfgPfvz45K9/Tfr3L5xBvddeyeWX167AbtYs6dUrueii5M03k5deSv7wh2THHRXYAABQn3y7DQAAQINq0iS5+OJkjTWSX/yi5jFDhya77lpYTdm+fWnzAcVx+umnZ+TIkXnwwQcXOm7ChAl5/vnn061bt8Wad+7c5IknkkGDCq8Rzz1Xt5zt2xcK8IEDCwX28svXbT4AAGDJKbEBAABocBUVyemnJ6uvnhx5ZDJnzvxjHn886d49GT48WXfd0mcE6qZJkya54YYbsvnmm+eDDz6ocUy3bt1y4403Zp111lnoXJ9/ntx7b6G0Hjo0mTy5btk237ywRfjAgck22ySV9i4EAIAGpcQGAACgbBx2WNKhQ7L//jVvH/7660m3boXSaqutSh4PqKOOHTvmuuuuyx577PG1r1dWVuaMM87IL3/5yzRdwD7d//lPobQePDgZOTKZNav2OVq0SHbbrVBcDxiQ/P9j/gAAgDKhxAYAAKCs7LFHMmJEYTvfmhZrTp6c7LJLcscdSe/eJY8H1FHfvn1zyimn5I9//GOSZK211sqNN96Y7t27f23c7NnJ2LHVxfW//1235+3YsXq19a67Jq1b120+AACg/iixAQAAKDvbbJM88kjSp09h9eX/+uKLQsl91VXJIYeUPh9QN7/5zW8yatSorLPOOrn00kuz4oorJkk+/bRwZMDgwcmwYcnHH9ftebbeurq43nLLwtEFAABA+VNiAwAAUJbWW69QZA8YkDz55PzXZ89ODj00effd5JRTlFPQmDRr1iz33XdfWrdunddfr8iVVxaK69Gjkzlzaj/vcsslvXoVSut+/QqrrwEAgMZHiQ0AAEDZ6tChsLX4t76V3HNPzWNOPTWZODG58MKkSZPS5gOW3KxZhbJ68OA2GTy4cNZ9Xay5ZvVq6112SVq2LEpMAACgASmxAQAAKGtt2iSDBiVHHplcd13NY/7yl+S995Lrr1dgQTn66KNk6NDCauvhw5MpU2o/V0VFsv321cX1JpvYiQEAAJY2SmwAAADKXrNmyTXXJGuskfz+9zWPuf32ZPLk5O67k/9/vC7QQKqqkn//u/ABlMGDk7Fjk7lzaz/f8ssnffoUiut+/ZL27YuXFQAAKD9KbAAAABqFiorkd79LVl89+dGPCiXZ/xo1KunRIxk2LOnUqfQZYVk2Y0by0EPVxfVbb9VtvnXXLay0HjAg2WmnpHnzosQEAAAaASU2AAAAjcoJJyQdOyYHHVQozf7Xiy8m3boVtizeeOPS54NlyaRJyZAhhdL63nuTL7+s/VxNmiTdu1dvE961q23CAQBgWaXEBgAAoNHZb79k1VWTPfdMPv10/usTJiQ77pj861+FldlAcVRVJc89V73a+vHH6zbfiisme+xRKK779k1WXrkoMQEAgEZOiQ0AAECj1KNHMmZMofiaMGH+659+mvTqldx0U7LvviWPB0uNadOSBx+sLq4nTqzbfBtsUCitBwworLxu6t0pAADgf/gxAQAAgEZr442TsWMLKzlffHH+6zNmJN/6VvKXvyTHH1/6fNBYTZxYKKwHD04eeKBQZNdW06bJzjtXF9frrVe8nAAAwNJJiQ0AAECj1qlTMnp0stdeyahR81+vqiqcoz1xYvLb3zpjF2oyd27y1FPVq62feaZu87Vrl/TrVyite/dO2rYtTk4AAGDZoMQGAACg0VtxxeSee5KDD07uuKPmMb//ffLuu8nllyfNmpU0HpSlL75I7r+/UFwPGZJMmlS3+TbdtFBaDxyYbLtt0qRJcXICAADLHiU2AAAAS4WWLZN//CM58cTk4otrHnPttYWi7rbbkjZtShoPysLbbxdWWg8alIwYkcycWfu5mjdPdt21epvwtdYqXk4AAGDZpsQGAABgqdGkSXLRRYUtxk89teYxw4cnPXsWVp6uumpp80GpzZmTPPZYdXFd09nxS6JDh+rSevfdfRgEAACoH0psAAAAlioVFcnPf56svnry/e8ns2fPP+bJJ5MddigU2uutV/qMUJ8++yy5995CaT10aPLRR3Wb75vfrC6ut9oqqawsTk4AAIAFUWIDAACwVDrkkMJK6/32S778cv7rb75ZKLKHDk223rr0+aCY3nijerX1qFE1f3hjcbVqVVhlPWBA0r9/ssYaxcsJAACwOJTYAAAALLX69Ekeeijp1y+ZPHn+6x98kOyyS3L77UnfviWPB7U2a1byyCOF0nrw4OTVV+s2X6dO1autd921UGQDAAA0FCU2AAAAS7WttiqUfX37Flar/q8vv0wGDkyuuCL53vdKnw8W18cfF7bAHzSo8M9PP639XBUVybbbVhfXm29e+BoAAEA5UGIDAACw1PvGN5KHHy6UdU88Mf/12bOTww5LJk5MTjtNmUd5qKpKXnmlepvwhx9O5s6t/Xxt2iS9exf+O+jXL+nQoXhZAQAAikmJDQAAwDJh1VWTBx9MDjggGTas5jG/+EWhyL7ooqRJk9LmgySZObNwpvVX24T/5z91m2/ttQs7DQwYkOy8c9KiRVFiAgAA1CslNgAAAMuMNm2Su+9Ojjkmufrqmsdcemny/vvJjTcmLVuWNh/LpsmTCx+sGDw4ueee5PPPaz9XZWWyww7V24RvtJGdBQAAgMZHiQ0AAMAypVmz5Mork9VXT37725rH3HlnYdvlu+9OVlqptPlY+lVVJS+8UL1N+GOPFb5WW23bFs58HzCg8M927YqXFQAAoCEosQEAAFjmVFQkv/lNssYayQkn1HzO8OjRyY47JsOHJ507lz4jS5fp05MRIwrF9eDByTvv1G2+9dev3iZ8xx0LH84AAABYWiixAQAAWGYde2zSsWPyne8USsb/9e9/J926FYrsTTYpfT4at/feS4YMKZTW992XTJ1a+7maNEl22ql6m/AuXYqXEwAAoNwosQEAAFim7b13cv/9hVWtn3wy//WJEwsrXe++O9l555LHoxGZOzd55pnqbcK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"text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 511, "width": 984 } }, "output_type": "display_data" } ], "source": [ "ax = ut.plotSetup(-6,6,-1,4,(12,6))\n", "u = np.array([4.,1])\n", "v = np.array([-4.,3])\n", "pt = u + v\n", "\n", "plt.plot([0,u[0]],[0,u[1]],'b-',lw=2)\n", "plt.plot([0,v[0]],[0,v[1]],'b-',lw=2)\n", "plt.plot(u[0], u[1], 'bo')\n", "plt.plot(v[0], v[1], 'bo')\n", "m = (u-v)/2.0\n", "mm = v + m\n", "ax.text(u[0]+.1, u[1]-.2 ,r'${\\bf a}$',size=16)\n", "ax.text(v[0]+.1, v[1]+.1, r'${\\bf b}$',size=16)\n", "ax.text(0-.1, 0-.3, r'${\\bf 0}$',size=16)\n", "ax.annotate('', xy=(0.2*v[0], 0.2*v[1]), xycoords='data',\n", " xytext=(0.3*u[0], 0.3*u[1]), textcoords='data',\n", " size=15,\n", " #bbox=dict(boxstyle=\"round\", fc=\"0.8\"),\n", " arrowprops={'arrowstyle': 'simple',\n", " 'fc': '0', \n", " 'ec': 'none',\n", " 'connectionstyle' : 'arc3,rad=0.5'},\n", " )\n", "ax.text(0.9,0.8,r'$\\theta$',size=20);" ] }, { "cell_type": "markdown", "metadata": { "hide_input": true, "slideshow": { "slide_type": "fragment" } }, "source": [ "This is fairly easy. Probably we'd take out a protractor and use it to measure $\\theta$." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "OK, let's go up one dimension, to $\\mathbb{R}^3$." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "hide_input": true, "scrolled": false, "tags": [ "remove-input" ] }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 715, "width": 649 } }, "output_type": "display_data" } ], "source": [ "fig = ut.three_d_figure((20, 1), fig_desc = 'An Angle in R3',\n", " xmin = -10, xmax = 10, ymin = -10, ymax = 10, zmin = -10, zmax = 10, \n", " figsize = (8, 8), qr = qr_setting)\n", "x = np.array([7, -7]) \n", "y = np.array([7, 7]) \n", "z = np.array([7, 7]) \n", "arc_x = 1/5 * x\n", "arc_y = 1/5 * y\n", "arc_z = 1/5 * z\n", "#\n", "pts = np.column_stack([x, y, z])\n", "arc_pts = np.column_stack([arc_x, arc_y, arc_z])\n", "origin = np.array([0, 0, 0])\n", "#\n", "# linearly interpolate a set of points between arc[0] and arc[1]\n", "\n", "def three_d_arc(pt1, pt2, nsteps):\n", " len0 = np.linalg.norm(pt1)\n", " len1 = np.linalg.norm(pt2)\n", " interp_pts = np.linspace(pt1, pt2, nsteps)\n", " interp_len = np.linspace(len0, len1, nsteps)\n", " interp_pts = np.array([x / (np.linalg.norm(x)/l) for x, l in zip(interp_pts, interp_len)])\n", " return interp_pts\n", "\n", "nsteps = 30\n", "arc_pts = three_d_arc(arc_pts[0], arc_pts[1], nsteps)\n", "for p1, p2 in zip(arc_pts[:-1], arc_pts[1:]):\n", " fig.plotLine(np.array([p1, p2]), 'k')\n", "#\n", "fig.plotLine(np.array([origin, pts[0]]), 'b')\n", "fig.plotPoint(x[0], y[0], z[0], 'b')\n", "fig.text(x[0]+.2, y[0]+.2, z[0]+.2, r'${\\bf a}$', 'e1', size=16)\n", "#\n", "fig.plotLine(np.array([origin, pts[1]]), 'b')\n", "fig.plotPoint(x[1], y[1], z[1], 'b')\n", "fig.text(x[1]+.2, y[1]+.2, z[1]+.2, r'${\\bf b}$', 'e2', size=16)\n", "#\n", "mid = nsteps//2\n", "fig.text(arc_pts[mid, 0]+.2, arc_pts[mid, 1]+.2, arc_pts[mid, 2]+.2, r'$\\theta$', 'theta', size = 20)\n", "#\n", "fig.text(0-.5, 0, 0-2, r'$\\bf 0$', '0', size = 16)\n", "#\n", "fig.set_title(r'An Angle in $\\mathbb{R}^3$', size=14);\n", "fig.save();" ] }, { "cell_type": "markdown", "metadata": { "hide_input": true, "slideshow": { "slide_type": "fragment" } }, "source": [ "This seems a little more challenging, but we could probably do it.\n", "\n", "Let's go up one dimension, to $\\mathbb{R}^4$:" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "This seems hard!" ] }, { "cell_type": "markdown", "metadata": { "cell_style": "center", "slideshow": { "slide_type": "slide" } }, "source": [ "What we need are ways to capture simple notions: \n", "* length, \n", "* distance, \n", "* orthogonality (perpendicularity), and \n", "* angle. \n", "\n", "However we need to take these notions that are familiar from our 3D world and see how to define them for spaces of arbitrary dimension, ie, $\\mathbb{R}^n$." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "Interestingly, it turns out that these notions (length, distance, perpendicularity, angle) __all__ depend on one key notion: the __inner product__. \n", "\n", "In fact, the notion is so important that we refer to a vector space for which there is an inner product as an __inner product space.__" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "So let's briefly return to and review the __inner product.__" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Inner Product (Review)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "Recall that we consider vectors such as $\\mathbf{u}$ and $\\mathbf{v}$ in $\\mathbb{R}^n$ to be $n\\times1$ matrices. \n", "\n", "Then $\\mathbf{u}^T\\mathbf{v}$ is a scalar, called the __inner product__ of $\\mathbf{u}$ and $\\mathbf{v}.$\n", "\n", "You will also see this called the __dot product__. \n", "\n", "It is sometimes written as $\\mathbf{u} \\mathbf{\\cdot} \\mathbf{v}$, or $<\\mathbf{u}, \\mathbf{v}>$ \n", "\n", "but we will always write $\\mathbf{u}^T\\mathbf{v}.$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "The inner product is the sum of the componentwise product of $\\mathbf{u}$ and $\\mathbf{v}$." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "If $\\mathbf{u} = \\begin{bmatrix}u_1\\\\u_2\\\\\\vdots\\\\u_n\\end{bmatrix}$ and $\\mathbf{v} = \\begin{bmatrix}v_1\\\\v_2\\\\\\vdots\\\\v_n\\end{bmatrix},$ then the inner product of $\\mathbf{u}$ and $\\mathbf{v}$ is:\n", "\n", "$$\\mathbf{u}^T\\mathbf{v} = \\begin{bmatrix}u_1&u_2&\\dots&u_n\\end{bmatrix}\\begin{bmatrix}v_1\\\\v_2\\\\\\vdots\\\\v_n\\end{bmatrix} = u_1v_1 + u_2v_2 + \\dots + u_nv_n = \\sum_{i=1}^n u_iv_i.$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "Let's remind ourselves of the properties of the inner product:" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "__Theorem.__ Let $\\mathbf{u}$,$\\mathbf{v}$, and $\\mathbf{w}$ be vectors in $\\mathbb{R}^n$, and let $c$ be a scalar. Then:\n", "\n", "1. $\\mathbf{u}^T\\mathbf{v} = \\mathbf{v}^T\\mathbf{u}$\n", "\n", "Inner product is symmetric. Note that these two expressions are the transpose of each other -- but of course the transpose of a scalar is itself!" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "2. $(\\mathbf{u}+\\mathbf{v})^T\\mathbf{w} = \\mathbf{u}^T\\mathbf{w} + \\mathbf{v}^T\\mathbf{w}$\n", "3. $(c\\mathbf{u})^T\\mathbf{v} = c(\\mathbf{u}^T\\mathbf{v}) = \\mathbf{u}^T(c\\mathbf{v})$\n", "\n", "Inner product is __linear__ in __each term.__" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "4. $\\mathbf{u}^T\\mathbf{u} \\geq 0,\\;\\;\\;\\mbox{and}\\;\\mathbf{u}^T\\mathbf{u} = 0\\;\\mbox{if and only if}\\;\\mathbf{u} = 0$\n", "\n", "Inner product of a vector with itself is __never negative.__" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "The first three are restatements of facts about matrix-vector products.\n", "\n", "The last one is straightforward, but important." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now, given that review, let's start talking about geometry." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Vector Norm" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "OK, armed with the inner product, let's get started.\n", "\n", "Our first question will be: How do we measure the __length__ of a vector?" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "Let's say we are in $\\mathbb{R}^2$. Then the length follows directly from the Pythagorean theorem:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "hide_input": true, "tags": [ "remove-input" ] }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 649, "width": 964 } }, "output_type": "display_data" } ], "source": [ "ax = ut.plotSetup(-1,6,-1,4,(12,8))\n", "ut.centerAxes(ax)\n", "pt = [4., 3.]\n", "plt.plot([0,pt[0]],[0,pt[1]],'b-',lw=2)\n", "plt.plot([pt[0],pt[0]],[0,pt[1]],'b-',lw=2)\n", "plt.plot([0,pt[0]],[0,0],'b-',lw=2)\n", "perpline1, perpline2 = ut.perp_sym(np.array([4, 0]), np.array([4, 3]), np.array([0, 0]), 0.2)\n", "plt.plot(perpline1[0], perpline1[1], 'k', lw = 1)\n", "plt.plot(perpline2[0], perpline2[1], 'k', lw = 1)\n", "ut.plotVec(ax,pt)\n", "ax.text(2,-0.5,r'$|v_1|$',size=16)\n", "ax.text(4.15,1.4,r'$|v_2|$',size=16)\n", "ax.text(1.25,1.75,r'$\\sqrt{v_1^2+v_2^2}$',size=16)\n", "ax.text(pt[0]+0.1,pt[1]+0.1,r'$\\mathbf{v} = (v_1, v_2)$',size=20);" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "What happens when we move to $\\mathbb{R}^3$?\n", "\n", "It turns out we need to apply the Pythagorean Theorem an additional time:" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "hide_input": true, "slideshow": { "slide_type": "-" }, "tags": [ "remove-input" ] }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 715, "width": 636 } }, "output_type": "display_data" } ], "source": [ "fig = ut.three_d_figure((20, 2), fig_desc = 'Pythagorean Theorem in R3',\n", " xmin = 0, xmax = 5, ymin = 0, ymax = 7, zmin = 0, zmax = 9, \n", " figsize = (12, 8), qr = qr_setting)\n", "f = 1.25\n", "v = [4*f,4*f,6*f]\n", "fig.plotCube(v)\n", "fig.text(v[0]+.1, v[1]+.1 ,v[2]+.1, r'${\\bf v} = (v_1, v_2, v_3)$', 'v', size=20)\n", "fig.plotLine([[0, 0, 0], [v[0], v[1], 0]], 'g', '--')\n", "fig.plotLine([[0, 0, 0], [v[0], v[1], v[2]]], 'r', '--')\n", "fig.plotPoint(v[0], v[1], v[2], 'r')\n", "fig.plotPoint(0, 0, 0, 'k')\n", "#\n", "fig.plotPerpSym(np.array([v[0], v[1], 0]), np.array([v[0], v[1], v[2]]), np.array([0, 0, 0]), 1)\n", "#\n", "fig.text(-1.25, 3, 4, r'$\\bf\\sqrt{v_1^2+v_2^2+v_3^2}$', 'sqrt(v1**2 + v2**2 + v3**2)', size=16)\n", "fig.text(3, 0, 0, r'$\\bf\\sqrt{v_1^2+v_2^2}$', 'sqrt(v1**2 + v2**2)', size=16)\n", "fig.ax.view_init(azim=290, elev = 15)\n", "fig.set_title(r'Pythagorean Theorem in $\\mathbb{R}^3$', 'Pythagorean Theorem in R3', size = 16)\n", "fig.save()" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "So the length of a vector in $\\mathbb{R}^n$ is\n", "\n", "$$ \\sqrt{v_1^2 + v_2^2 + \\dots + v_n^2} = \\sqrt{\\sum_{i=1}^n{v_i}^2}$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "Now let's express this in a way that __does not require writing the individual components__ of $\\mathbf{v}$." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "We notice that the above expression for the length of $\\mathbf{v}$ is the same as:\n", " \n", "$$\\sqrt{\\mathbf{v}^T\\mathbf{v}}.$$\n", "\n", "Notice that this is always defined because $\\mathbf{v}^T\\mathbf{v}$ is nonnegative." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "Length is such a fundamental concept that we introduce a special notation and name for it.\n", "\n", "__Definition.__ The __norm__ of $\\mathbf{v}$ is the nonnegative scalar $\\Vert\\mathbf{v}\\Vert$ defined by\n", "\n", "$$\\Vert\\mathbf{v}\\Vert = \\sqrt{\\mathbf{v}^T\\mathbf{v}} = \\sqrt{\\sum_{i=1}^n{v_i}^2}.$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "### Normalization to Unit Length \n", "\n", "For any scalar $c$, the length of $c\\mathbf{v}$ is $|c|$ times the length of $\\mathbf{v}$. That is,\n", "\n", "$$\\Vert c\\mathbf{v}\\Vert = \\vert c\\vert\\Vert\\mathbf{v}\\Vert.$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "So, for example, $\\Vert(-2)\\mathbf{v}\\Vert = 2\\Vert \\mathbf{v}\\Vert$." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "A vector of length 1 is called a __unit vector__. " ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "If we divide a nonzero vector $\\mathbf{v}$ by its length -- that is, multiply by $1/\\Vert\\mathbf{v}\\Vert$ -- we obtain a unit vector $\\mathbf{u}$.\n", "\n", "We say that we have _normalized_ $\\mathbf{v}$, and that $\\mathbf{u}$ is _in the same direction_ as $\\mathbf{v}.$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "__Example.__ Let $\\mathbf{v} = \\begin{bmatrix}1\\\\-2\\\\2\\\\0\\end{bmatrix}.$ Find the unit vector $\\mathbf{u}$ in the same direction as $\\mathbf{v}.$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "__Solution.__ \n", "\n", "First, compute the length of $\\mathbf{v}$:\n", "\n", "$$\\Vert\\mathbf{v}\\Vert^2 = \\mathbf{v}^T\\mathbf{v} = (1)^2 + (-2)^2 + (2)^2 + (0)^2 = 9$$\n", "\n", "$$\\Vert\\mathbf{v}\\Vert = \\sqrt{9} = 3$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "Then multiply $\\mathbf{v}$ by $1/\\Vert\\mathbf{v}\\Vert$ to obtain\n", "\n", "$$\\mathbf{u} = \\frac{1}{\\Vert\\mathbf{v}\\Vert}\\mathbf{v} = \\frac{1}{3}\\mathbf{v} = \\frac{1}{3}\\begin{bmatrix}1\\\\-2\\\\2\\\\0\\end{bmatrix} = \\begin{bmatrix}1/3\\\\-2/3\\\\2/3\\\\0\\end{bmatrix}$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "It's important to note that we can't actually visualize $\\mathbf{u}$ but we can still reason geometrically about it as a unit vector." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For example, we can talk about (2D) circles, (3D) spheres, four-dimensional spheres, five-dimensional spheres, etc." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Distance" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "It's very useful to be able to talk about the __distance__ between two points (or vectors) in $\\mathbb{R}^n$." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "We can start from basics:" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "hide_input": true, "tags": [ "remove-input" ] }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 174, "width": 794 } }, "output_type": "display_data" } ], "source": [ "ax = ut.plotSetup(-1,10,-1,1,(10,2))\n", "\n", "ut.centerAxes(ax)\n", "from matplotlib.lines import Line2D\n", "ax.axes.get_yaxis().set_visible(False)\n", "ax.set_frame_on(False)\n", "xmin, xmax = ax.get_xaxis().get_view_interval()\n", "ymin, ymax = ax.get_yaxis().get_view_interval()\n", "ax.add_artist(Line2D((xmin, xmax), (0, 0), color='black', linewidth=2))\n", "ax.set_xticks([ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9])\n", "pt1 = [1, 0]\n", "pt2 = [7, 0]\n", "plt.plot(pt1[0], pt1[1],'bo')\n", "plt.plot(pt2[0], pt2[1],'bo')\n", "ax.text(pt1[0]-0.1,0+.2,r'$a$',size=20);\n", "ax.text(pt2[0]-0.1,0+.2,r'$b$',size=20);" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "On the number line (ie, $\\mathbb{R}^1$), the distance between two points $a$ and $b$ is $\\vert a-b\\vert$. " ] }, { "cell_type": "markdown", "metadata": { "hide_input": true, "slideshow": { "slide_type": "fragment" } }, "source": [ "The same is true in $\\mathbb{R}^n$." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "__Definition.__ For $\\mathbf{u}$ and $\\mathbf{v}$ in $\\mathbb{R}^n,$ the __distance between $\\mathbf{u}$ and $\\mathbf{v}$,__ written as $\\mbox{dist}(\\mathbf{u},\\mathbf{v}),$ is the length of the vector $\\mathbf{u}-\\mathbf{v}$. That is,\n", "\n", "$$\\mbox{dist}(\\mathbf{u},\\mathbf{v}) = \\Vert\\mathbf{u}-\\mathbf{v}\\Vert.$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "This definition agrees with the usual formulas for the Euclidean distance between two points. The usual formula is\n", "\n", "$$\\mbox{dist}(\\mathbf{u},\\mathbf{v}) = \\sqrt{(u_1-v_1)^2 + (u_2-v_2)^2 + \\dots + (u_n-v_n)^2}.$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "Which you can see is equal to \n", "\n", "$$\\Vert\\mathbf{u}-\\mathbf{v}\\Vert = \\sqrt{(\\mathbf{u}-\\mathbf{v})^T(\\mathbf{u}-\\mathbf{v})} = \\sqrt{\\begin{bmatrix}u_1-v_1&u_2-v_2&\\dots&u_n-v_n\\end{bmatrix}\\begin{bmatrix}u_1-v_1\\\\u_2-v_2\\\\\\vdots\\\\u_n-v_n\\end{bmatrix}}$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "There is a geometric view as well. " ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "For example, consider the vectors $\\mathbf{u} = \\begin{bmatrix}7\\\\1\\end{bmatrix}$ and $\\mathbf{v} = \\begin{bmatrix}3\\\\2\\end{bmatrix}$ in $\\mathbb{R}^2$.\n", "\n", "Then one can see that the distance from $\\mathbf{u}$ to $\\mathbf{v}$ is the same as the length of the vector $\\mathbf{u}-\\mathbf{v}$." ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "hide_input": true, "tags": [ "remove-input" ] }, "outputs": [ { "data": { "image/png": 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GrVq1ApxBKEmSJEmSMpszCFWqvvrqKzp16sS6deuoVKkSTz755BaFg0DScBCgb9++fPTRRwwfPpwFCxYwYcIEunXrVqxnGPhJkiRJkqTywqNiVWp++OEHjjzySBYvXkx2djaPPfYYrVu3DuXZffv23fB648NRJEmSJEmSosaAUKViwYIFHHHEESxYsIBYLMbIkSPp1KlTaM9v1qzZhtfz588P7bmSJEmSJEmZxoBQoVu0aBHt27dnzpw5ANx3332cfvrpofbg1puSJEmSJEkBA0KF6vfff6dDhw58/fXXANxyyy2cf/75offx5/MhOKhEkiRJkiQpqgwIFZoVK1ZwzDHH8MknnwBw9dVXc/nll5dKL8OGDdvwOqx9DyVJkiRJkjKRAaFCsWbNGjp16sQ777wDQP/+/bnxxhuLfZ+8vDxisRixWIxBgwYVqs+YMYPZs2cnvcewYcMYMWIEANtvv32oex9KkiRJkiRlmpzSbkDRcNppp/Hqq68CcPjhh9O7d2++/PLLTY6vWLEiu+66a7Gf8/HHH9OnTx/atm1Lx44d2Wuvvahduzbr1q1j5syZjB07ltdeew2A7Oxshg0bRtWqVTfvDyVJkiRJklQOGBAqFBMmTNjw+vXXX6d58+ZJx++00078+OOPm/Ws9evXM3nyZCZPnrzJMbVr12bEiBEcf/zxm/UMSZIkSZKk8sKAUOXK0UcfzYgRI3jvvff49NNP+e9//8uvv/5KPB5nm222Ye+99+aoo46iV69e1KhRo7TblSRJkiRJKnWxeDweL+0mpPImPz+f3NxcAObNm0eDBg1KuSNJkiRJkqTEPKREkiRJkiRJijADQkmSJEmSJCnCDAglSZIkSZKkCDMglCRJkiRJkiLMgFCSJEmSJEmKMANCSZIkSZIkKcIMCCVJkiRJkqQIMyCUJEmSJEmSIsyAUJIkSZIkSYowA0JJkiRJkiQpwgwIJUmSJEmSpAgzIJQkSZIkSZIizIBQkiRJkiRJijADQkmSJEmSJCnCDAglSZIkSZKkCDMglCRJkiRJkiLMgFCSJEmSJEmKMANCSZIkSZIkKcIMCCVJkiRJkqQIMyCUJEmSJEmSIsyAUJIkSZIkSYowA0JJkiRJkiQpwgwIJUmSJEmSpAgzIJQkSZIkSZIizIBQkiRJkiRJijADQkmSJEmSJCnCDAglSZIkSZKkCDMglCRJkiRJkiLMgFCSJEmSJEmKMANCSZKkCFq8eDFVqlQhFott8uOkk04q9n0XLlxITk5O0vueeuqpafgTSZIkaXMZEEqSJEVQrVq16Ny5c9IxL774Ir/99lux7jtu3DjWr1+fdMzZZ59drHtKkiQpvQwIJUmSIipVULdmzRqeeOKJYt1zzJgxSetNmjShbdu2xbqnJEmS0suAUJIkKaIOO+wwmjZtmnRMqsBvYzNmzOCLL75IOuass84iFosV+Z6SJElKPwNCSZKkCDvrrLOS1t977z1mz55dpHuNHj06ab1ChQr06tWrqK1JkiQpJAaEkiRJEdazZ08qVaqUdExRZhEWFBQwfvz4pGNOPPFEtttuu2L1J0mSpPQzIJQkSYqw2rVr06lTp6RjxowZQzweTzpmypQpLFiwIOkYDyeRJEnKTAaEkiRJEZcquPvhhx945513ko5JNcuwcePGtGvXrti9SZIkKf0MCCVJkiKubdu27LLLLknHJNtf8I8//mDixIlJr+/Tp4+Hk0iSJGUoA0JJkiTRp0+fpPWnnnqK1atXJ6xNnDiR5cuXb/LaChUqcMYZZ2xRf5IkSUofA0JJkiRxxhlnULFixU3WlyxZwvPPP5+wlmp58fHHH0/dunW3qD9JkiSljwGhJEmS2HbbbTnhhBOSjkkUBC5cuJApU6Ykvc7DSSRJkjKbAaEkSZKA1EHeK6+8wi+//PKXz40fP57169dv8pqGDRvSvn37EulPkiRJ6WFAKEmSJADatWtHo0aNNllfu3Ytjz/++F8+l2p58VlnneXhJJIkSRnOgFCSJEkAxGKxlIeVbHya8YwZM/j88883OTYnJ8fDSSRJksoAA0JJkiRtcOaZZ1KhQoVN1j/66CNmzpwJFO1wku23375E+5MkSVLJMyCUJEnSBnXr1uW4445LOmb06NEUFBQwfvz4pOM8nESSJKlsMCCUJEnSX6QK9saNG8fkyZOZP3/+JsfsvPPOHk4iSZJURhgQSpIk6S/at2/PzjvvvMn63Llz6d+/f9J79OnTh6wsv9WUJEkqC/yuTZIkSX+RlZVF7969k475cx/CRHJycjjzzDNLui1JkiSliQGhJEmSCjnzzDPJycnZrGuPPfZY6tWrV8IdSZIkKV0MCCVJklRI/fr1OeaYYzbrWg8nkSRJKlsMCCVJkpTQ5gR9O+20Ex06dEhDN5IkSUoXA0JJkiQldNRRR7HjjjsW65revXt7OIkkSVIZ43dvkiRJSigrK6tYh41kZ2d7OIkkSVIZZEAoSZKkTerduzfZ2dlFGnvMMcewww47pLkjSZIklTQDQkmSJG1SgwYN6NixY5HGejiJJElS2ZRT2g1IkiQps73wwgul3YIkSZLSyBmEkiRJkiRJUoQZEEqSJEmSJEkRZkAoSZIkSZIkRZgBoSRJkiRJkhRhBoSSJEmSJElShBkQSpIkSZIkSRFmQChJkiRJkiRFmAGhJEmSJEmSFGEGhJIkSZIkSVKEGRBKkiRJkiRJEWZAKEmSJEmSJEWYAaEkSZIkSZIUYQaEkiRJkiRJUoQZEEqSJEmSJEkRZkAoSZIkSZIkRZgBoSRJkiRJkhRhBoSSJEmSJElShBkQSpIkSZIkSRFmQChJkiRJkiRFmAGhJEmSJEmSFGEGhJIkSZIkSVKEGRBKkiRJkiRJEWZAKEmSJEmSJEWYAaEkSZIkSZIUYQaEkiRJkiRJUoQZEEqSJEmSJEkRZkAoSZIkSZIkRZgBoSRJkiRJkhRhBoSSJEmSJElShBkQSpIkSZIkSRFmQChJkiRJkiRFmAGhJEmSJEmSFGEGhJIkSZIkSVKEGRBKkiRJkiRJEWZAKEmSJEmSJEWYAaEkSZIkSZIUYQaEkiRJkiRJUoQZEEqSJEmSJEkRZkAoSZIkSZIkRZgBoSRJkiRJkhRhBoSSJEmSJElShBkQSpIkSZIkSRFmQChJkiRJkiRFmAGhJEmSJEmSFGEGhJIkSZIkSVKEGRBKkiRJkiRJEWZAKEmSJEmSJEWYAaEkSZIkSZIUYQaEkiRJkiRJUoQZEEqSJEmSJEkRZkAoSZIkSZIkRZgBoSRJkiRJkhRhBoSSJEmSJElShBkQSpIkSZIkSRFmQChJkiRJkiRFmAGhJEmSJEmSFGEGhJIkSZIkSVKE5ZR2A5IkSZGwdCnk58Py5VCtGjRoADVqlHZXkiRJkjMIFZ5PPvmEwYMH07FjR3Jzc6lUqRLVqlVj1113pVevXrz11lsl/szHH3+cDh06UK9ePSpXrszOO+9Mjx49eP/990v8WZIkFRKPw9Sp8I9/wDbbwB57wAEHBL9usw2cfHJQj8dLu1NJkiRFWCwe9ztSpV/r1q158803U47r0aMHw4cPp2LFilv0vFWrVnHyySczadKkhPWsrCwGDRrEgAEDtug5m5Kfn09ubi4A8+bNo0GDBml5jiQpg33yCZx+Onz1Veqxe+wBo0fDvvumvy9JkiTpb5xBqFDMnz8fgPr169O/f3+efvpppk+fznvvvcedd97JDjvsAMCYMWPo1avXFj+vd+/eG8LBtm3b8uyzzzJ9+nRGjBhB48aNKSgoYODAgQwfPnyLnyVJUiGvvQaHHVa0cBCCcYcdFlwnSZIkhcwZhArFsccey+mnn07nzp3Jzs4uVF+0aBEHH3ww3333HQBvvvkmhx566GY9a9q0abRp0waA4447jokTJ/7lmYsWLWK//fZj7ty51KpVizlz5lCzZs3NetamOINQkiLsk0+CsO+PP4p/bdWq8OabziSUJElSqJxBqFBMmjSJLl26JAwHAerUqcMdd9yx4fdPP/30Zj9ryJAhAGRnZzN06NBCz6xTpw633norAIsXL2bEiBGb/SxJkv4iHg+WFW9OOAjBdT17uiehJEmSQmVAqIzx56w/gO+//36z7rF8+XKmTJkCQPv27Tc5c++kk06ixv9OjpwwYcJmPUuSpELeeKPoy4o35csvYdq0EmlHkiRJKgoDQmWMNWvWbHidlbV5X5rTp09n9erVQHAwyqZUrFiRAw88cMM1a9eu3aznSZL0F0OHZtZ9JEmSpCLIKe0GpD9N22i2RNOmTTfrHt98802R79G0aVNeffVV1q1bx6xZs2jWrFmRn5Ofn5+0vnDhwiLfS5JUTixdChMnlsy9JkwI7ve/2e6SJElSOhkQKiMUFBRwyy23bPh9ly5dNus+8+bN2/A61cEgfx4i8ud1xQkIN75WkiQA8vNh/fqSudf69TB/vgGhJEmSQuESY2WEu+66i+nTpwPQqVMn9t9//826z7Jlyza8rlatWtKxVatW3fB6+fLlm/U8SZI2KOl/Szb6N02SJElKJ2cQqtRNmzaNK664AoDtttuOBx98cLPvtWrVqg2vK1asmHRspUqVNrxeuXJlsZ6z8UzFRBYuXEirVq2KdU9JUhmX4o2pYtvo3zRJkiQpnQwIVaq++uorOnXqxLp166hUqRJPPvkkdevW3ez7Va5cecPrjQ89SeTPw0wAqlSpUqznpFq+LEmKoAYNIDu75JYZH3UUXHghXHop1KpVMveUJEmSEnCJsUrNDz/8wJFHHsnixYvJzs7mscceS3rycFFUr159w+tUy4b/+OOPDa9TLUeWJCmlGjWgU6eSu9/KlXDzzdCwIQweXPJLmCVJkqT/MSBUqViwYAFHHHEECxYsIBaLMXLkSDqVwA9VG8/sS3XS8MbLhD10RJJUIs47r+Tv+fvvcPXV0Lgx3HcfbDQDXpIkSSoJBoQK3aJFi2jfvj1z5swB4L777uP0008vkXtvfBLxzJkzk479s56Tk0OTJk1K5PmSpIhr04ZVjfdIz71//hkuuAB23RUefRTWrUvPcyRJkhQ5BoQK1e+//06HDh34+uuvAbjllls4//zzS+z+LVu23HA4ybRp0zY5bs2aNbz//vuFrpEkaUusXBXjdEaznKqbd4OcImwPPXcunHkm7LUXPP00FBRs3rMkSZKk/zEgVGhWrFjBMcccwyeffALA1VdfzeWXX16iz6hevTrt2rUDYPLkyZtcZjxhwgSWLl0KUCJLmyVJArj8cnjq+33pxMTih4RVq8JLL8Gnn8Ixx6QeP3MmnHwytGwJr7wC8fjmNS1JkqTIMyBUKNasWUOnTp145513AOjfvz833nhjse+Tl5dHLBYjFosxaNCghGMuueQSANatW8f555/P+r+dJrlo0aINwWTNmjXp06dPsfuQJOnvXnop2CIQYDLtOYw3+ZIiLjfec094801o3x5atIBJk+Dtt+Gww1Jf+8kn0LEjtG4dXCNJkiQVkwGhQnHaaafx6quvAnD44YfTu3dvvvzyy01+fPfdd5v9rMMPP5xTTz0VgOeff5727dvz/PPP89FHH/Hoo49y4IEHMnfuXCBY4lyrVq0t/wNKkiLtv/+FM8746+c+ZV/2YgZnNZlKwUn/gOzsvw7IyQlmAE6dCl98Afvu+9f6wQfDG28EswP/Xkvkrbfg0EOD2YeffrpFfx5JkiRFSxE2upG23IQJEza8fv3112nevHnS8TvttBM//vjjZj9v5MiRLF26lJdeeompU6cyderUv9SzsrIYMGAAffv23exnSJIEwRaAvXoFZ4j8XZUqMS5+oQ1ZTdvA0qUwfz4sWwbVq8MOO0CNGslvHotBhw5w5JHwzDMwYECwtDiZl14KPrp0gRtuCA41kSRJkpJwBqHKpSpVqvDiiy8ybtw42rdvz3bbbUfFihXJzc2la9euvP3225tcoixJUnHcd18wyS+Ru++Gpk3/95saNWD33aFVq+DXVOHgxmIx+Mc/YMaM4ATjnXZKfc2TT0KzZtCnT3CwiSRJkrQJsXjcHa2lkpafn09ubi4A8+bNo0GDBqXckSQpHb74IjgjZM2awrVOnYJJf7FYGh68ejU88gjceGOwvjmVihXhvPPgyithu+3S0JAkSZLKMmcQSpIkbYaVK+G00xKHg/XrB/ldWsJBgEqVoF8/+P57GDwYatZMPn7NmmA6Y6NGwTLlJUvS1JgkSZLKIgNCSZKkzXDppfD114U/H4vB6NFQu3YITVStGswKnDMHrroKttoq+fg//ghmHTZqBLfeCitWhNCkJEmSMp0BoSRJUjFNmgQPPJC4dskl0K5duP1QqxbcdFMwo/Cf/4QKFZKPX7wYrrgCGjeGoUMTT4OUJElSZBgQSpIkFcNPP8EZZySu7btvMEGv1Gy/Pdx7L3z3XdBkVopv9X76Cc4/PzhJZcwYWL8+nD4lSZKUUQwIJUmSiqigAHr1gkWLCte22grGjw/OAyl1O+8MI0fCV18Fpx+n8sMPcPrp0Lw5TJwInmEnSZIUKQaEkiRJRXTvvfDvfyeu3XMP7LZbuP2k1LQpPPUUfPQRHHVU6vFffw0nnQQHHACvvWZQKEmSFBEGhJIkSUXw+edw+eWJayedBL17h9tPsey3H7z8MkybBgcfnHr8hx/CkUfC4YfDe++lvz9JkiSVKgNCSZKkFFauhK5dE5/lscMO8MgjwenFGe+ww+Ctt+DFF2HvvVOPf+MN+L//g+OPhy++SHt7kiRJKh0GhJIkSSlcckmw+vbvYrHgbI9ttgm/p80Wi8HRR8Mnn8ATT8Cuu6a+5oUXoEUL6NYNZs9Oe4uSJEkKlwGhJElSEi+8AEOHJq5ddhm0bRtuPyUmKwu6dAkOMhk+HHJzk4+Px4NTWJo2hb59Yf78cPqUJElS2hkQSpIkbcLChXDmmYlr++0H118fbj9pkZMTbKD43Xdw992w7bbJx69fDw8/DI0bB1MrEx3pLEmSpDLFgFCSJCmBggLo2TNx/rXVVsFkuooVw+8rbSpXhv794fvv4YYboEaN5ONXr4Y77oCGDWHQIFi6NJQ2JUmSVPIMCCVJkhK4+2547bXEtXvvLdrWfWVS9epwzTXwww/BGuoqVZKPX74crrsOGjWC228PTnSRJElSmWJAKEmS9DeffQZXXpm41rnzppcdlyvbbAO33hocSnLeecFS5GR+/RUuvRSaNIFhw2Dt2nD6lCRJ0hYzIJQkSdrIihVw2mmwZk3hWoMGwfZ7sVj4fZWa+vXhgQfg22/h9NNT/+EXLIBzzoHddw/WYRcUhNOnJEmSNpsBoSRJ0kYuvhhmziz8+VgMxowJJtZFUqNGMGoUzJgBnTqlHv/999CtG7RoAc8/H5yCLEmSpIxkQChJkvQ/zz0HDz2UuHbFFdCmTajtZKY99oAJE2D6dGjfPvX4GTPghBPgoIPg9dfT358kSZKKzYBQkiSJYGVs796Jay1bBudwaCMtW8Krrwah34EHph7/wQfQrl0QKk6fnv7+JEmSVGQGhJIkKfIKCqBnz+Ccjb+rWjXYSq9ChfD7KhPatoV33w2WEe+1V+rxkyfDAQcEy5S//DL9/UnaIr169SIWi234GDRo0F/qgwYN+ku9V69epdKnyja/zqTSZ0AoSZIi7667gtwqkfvuCw7mVRKxGBx3XHD88/jx0Lhx6muefRaaNw8OPpkzJ90dSpIkKQkDQkmSFGmffgpXXpm4dvLJ4CSFYsjKCo6A/uYbGDYMdtgh+fh4PDj5Zbfd4LzzgnXekiRJCp0BoSRJiqwVK6BrV1i7tnAtNzfIuGKx8Psq8ypUgLPPhlmz4PbboXbt5OPXrYMHHwxmHl52WeK13pIkSUobA0JJkhRZF10EM2cW/nwsFkxsq1Ur/J7KlSpV4OKLgyXEgwZB9erJx69aBbfdBo0awQ03wLJlobQpSZIUdQaEkiQpkp59NpghmMiVV0Lr1qG2U77VqAHXXhsEhZdcApUrJx+/dCkMHBjMKLz77iA4lCRJUtoYEEqSpMiZPx96905ca9UqmOymNKhTJ5ghOHs29O0LOTnJx//yC/zrX7DLLjB8eLAUWZIkSSXOgFCSJEVKQQH07Am//Va4Vq0ajBsXbKGnNNphB3jooeAwk27dUm/0mJ8PZ50FzZrBE08E/ydKkiSpxBgQSpKkSLnjDpgyJXHtvvugSZNw+4m0Jk1g7Fj47DM4/vjU42fNglNPhX33hRdfDE5BliRJ0hYzIJQkSZHxySdw9dWJa126BDMLVQqaN4fnnoP33oO2bVOP//xzOPZYOOQQmDYt/f1JkiSVcwaEkiQpEv74A047DdauLVzLzQ1WvKZa6ao0O/BAeP11mDw52AwylXffhTZt4Kij4OOP096eJElSeWVAKEmSIuFf/4Lvviv8+aysYJVrrVrh96RNaNcO3n8fJk6EPfZIPf7f/4b994d//CPY11BSxvvxxx+JxWJJP3r16lWke+Xl5aW8V15eXlr/PGXB4sWLqVKlStL/nU466aRi33fhwoXk5OQkve+pp56ahj+RpJJkQChJksq9iRPhkUcS1666Cg47LNx+VASxGJx4YrCcePRoaNgw9TXPPAN77glnnAE//pjuDiWpTKlVqxadO3dOOubFF1/kt0SneCUxbtw41q9fn3TM2WefXax7SgqfAaEkSSrX5s+HPn0S1w44AAYODLcfFVN2NvToATNnwtChUK9e8vEFBZCXB7vuCv/8J/z0UyhtSlJZkCqoW7NmDU888USx7jlmzJik9SZNmtC2KPvLSipVBoSSJKncKiiA00+HRJMhqlWDceOgQoXw+9JmqFgRzj0XZs+GIUNgm22Sj1+7Fu6/Hxo3DqaJLl4cTp+SlMEOO+wwmjZtmnRMqsBvYzNmzOCLL75IOuass84i5ia/UsYzIJQkSeXW7bcHZ14k8sADQXakMmarreDSS2HOHBgwAKpWTT5+xQq4+eZgifLgwbB8eTh9SlKGOuuss5LW33vvPWbPnl2ke40ePTppvUKFCkXeS1JS6TIglCRJ5dLHH8PVVyeunXpqsGpVZdjWW8P11wdB4b/+BZUqJR//++/BF0TjxnDffbB6dTh9SlKG6dmzJ5VS/DezKLMICwoKGD9+fNIxJ554Itttt12x+pNUOgwIJUlSufPHH9C1K6xbV7i2007w4IPBGRgqB7bbDu68E2bNCjabzM5OPv7nn+GCC4I9Ch99NPEXiSSVY7Vr16ZTp05Jx4wZM4Z4PJ50zJQpU1iwYEHSMR5OIpUdBoSSJKncufBC+O67wp/PyoKxY6FmzbA7Utrl5gZHVX/9NZxySurxc+fCmWcGpx4/9VSwYaUkRUSq4O6HH37gnXfeSTom1SzDxo0b065du2L3Jql05JR2A5IkSSXpmWdg+PDEtauvhkMOCbcfhWzXXeHxx+GKK+Caa+DFF5OP//Zb6NIF9t0XbroJOnRweqmkpAYMGMDUqVNL5dlHH300V1111Rbfp23btuyyyy7MmjVrk2NGjx7NIZv4R/OPP/5g4sSJSZ/Rp08fDyeRyhADQkmSVG7Mmweb2nv9wANh4MBw+1EpatECJk2Cd94JTjF+883k4z/5BDp2hEMPDQ4zMUmWtAnffPNNytl16dKkSZMSu1efPn24/PLLN1l/6qmnuO+++xLuVzhx4kSWJzn0qUKFCpxxxhkl0qekcLjEWJIklQvr18Ppp8PixYVr1avDuHGQ41uj0XPwwfDGG/Dvf8N++6Ue/9ZbQUh4zDHw6adpb0+SSssZZ5xBxYoVN1lfsmQJzz//fMJaquXFxx9/PHXr1t2i/iSFy4BQkiSVC7fdFuRAiTzwADRqFGo7yiSxGBx5JHz4ITz9NDRtmvqal14Klh2fckqwDFmSypltt92WE044IemYREHgwoULmTJlStLrPJxEKnsMCCVJUpn34YcwYEDi2mmnQffu4fajDBWLQefOMGMG5OUFR1qn8uSTsMcewQnJc+emvUVJClOqIO+VV17hl19++cvnxo8fz/r16zd5TcOGDWnfvn2J9CcpPAaEkiSpTFu+HLp1g3XrCtd22gkefNAzJ/Q3OTnQs2cwM/C++yDVMrj162HECNhll+CI7J9/DqVNSUVT4Cnkm61du3Y0SjLFfu3atTz++ON/+Vyq5cVnnXWWh5NIZZABoSRJKtP694dEhzBmZQX7Dm69dfg9qYyoVAn69YPvv4ebb4aaNZOPX7MG7rknWK8+YAAsWRJGl1JkJZultrGlS5emuZO/evrpp4nH46XykZeXV6J/llgsRp8+fZKOGT169IbXM2bM4PPPP9/k2JycHA8nkcooA0JJklRmPf00jByZuDZgQHA+hZRS1apwxRUwZ05w4vFWWyUf/8cfcOONQVB4662wYkU4fUoRs2rVqiKNmz9/fpo7Kd/OPPNMKlSosMn6Rx99xMyZM4GiHU6y/fbbl2h/ksJhQChJksqkefPgrLMS1/7v/+Caa8LtR+VArVpw001BUHjBBZDkdE8gODL7iiugcWMYOjSYYSipSLKzs1OOWbZsWZHu9fHHH29pO5FWt25djjvuuKRjRo8eTUFBAePHj086zsNJpLLLgFCSJJU569dDjx6JV3jWqAFjxwbbzEmbpW7dYCnxd9/BGWcE69WT+eknOP982G03GD06+AKVlFSNGjVSjlmwYEHKMb/88gtvvfVWSbQUaamCvXHjxjF58uSkszV33nlnDyeRyjADQkmSVOYMGQLTpiWuDR0KDRuG24/KqZ12Ctawf/UVnHxy6vE//hgcftK8OUycCPF42luUyqoaNWqQlSJ8nzlzJitSLOG//fbbWZfolCoVS/v27dl55503WZ87dy79+/dPeo8+ffqk/P9UUubyb68kSSpTPvwQBg5MXOvWLfiQSlTTpvDkk/Dxx3DUUanHf/01nHQStGoFr71mUCglEIvFkp6eC8EJug899NAm66+99hp33XVXSbcWSVlZWfTu3TvpmD/3IUwkJyeHM888s6TbkhQiA0JJklRmLFsGXbtCoskiO+8MDzwQekuKkn33hZdfDqavFuUEnI8+giOPhMMPh/feS39/UhnTqlWrlGOuuOIKhg4dytq1azd8bunSpQwZMoTjjz/+L5/XljnzzDPJ2cz9OY499ljq1atXwh1JCpMBoSRJKjMuuABmzy78+exsGDcOtt46/J4UQYcdBm+9BS++CC1apB7/xhvByTnHHw9ffJHu7qQyo0OHDinHrF27lvPPP5+6dety4IEH0rx5c7bbbjsuv/zyIp9yrKKpX78+xxxzzGZd6+EkUtlnQChJksqEJ5+EvLzEtQEDgvxFCk0sBkcfHSw7fuIJ2HXX1Ne88EIQKHbtCrNmpb1FKdN16dKFWrVqFWns4sWL+eCDD5gxYwarV69Oc2fRtTlB30477VSksFdSZjMglCRJGW/uXNjUzywHHwxXXx1uP9IGWVnQpUtwkMmIEZCbm3x8PA6PPQa77w59+0J+fjh9ShmocuXKDBgwYIvukZOTw0knnVRCHemoo45ixx13LNY1vXv39nASqRzwb7EkScpo69dD9+7w+++FazVqwNixsJlbJkklJycHzjwTvvsO7r4btt02+fj16+Hhh6FJE7j4Yli0KJQ2pUzTv39/2rdvv1nXVqlShaeeeorjjjuuhLuKrqysrGIdNpKdne3hJFI5YUAoSZIy2i23BNu9JfLgg8HhJFLGqFwZ+veHOXPgxhuDFDuZ1avhzjuhYUMYNAiWLg2lTSlTZGVl8fzzz9OpU6diXdesWTPeffddTjzxxPQ0FmG9e/cmOzu7SGOPOeYYdthhhzR3JCkMBoSSJCljffABXHtt4lr37sFWblJGqlYtWPv+ww9w+eVQpUry8cuXw3XXQaNGcPvtsHJlOH1KGaBy5cpMmDCBCRMmsN9++yUdu8cee/DQQw/x+eef06IohwSp2Bo0aEDHjh2LNNbDSaTywwU5kiQpIy1bFgSA69cXrjVsCA88EH5PUrFts00wDbZ/f7jppmBZ8dq1mx7/669w6aVw110wcGCwbLlChfD6lUpRp06d6NSpEwsXLuTdd9/lp59+YsmSJVSqVIkdd9yR/fffn0aNGhW6rlevXvTq1Sv8hsuxF154obRbkBQyA0JJkpSR/vnPYJXm32Vnw/jxqVduShmlXj24//5gv8FBg2DMmODAkk1ZsADOOQeGDIHrr4dTTw2++KUIqFevHp07dy7tNiQpUlxiLEmSMs4TT8CoUYlr114LBx4Ybj9SiWnYMPjinjEDinLy6pw5wXr6Fi3g+eeTh4qSJEmbyYBQkiRllP/8B/r2TVw75BC46qpw+5HSYo894JlnYPp0KMoJrl9+CSecAAcdBK+/nv7+JElSpBgQSpKkjLF+PfToAb//Xri29dYwdqyrLFXOtGwJr74ahH5FmRr7wQfQrl0QKk6fnv7+JElSJBgQSpKkjHHzzfDWW4lrDz0EO+0Ubj9SaNq2hXffhRdegObNU4+fPBkOOAA6dQpmF0qSJG0BA0JJkpQR3n8/OLshkdNPD85okMq1WAyOPRY+/TQ4iadJk9TXPPtsECj26JH4VB9JkqQiMCCUJEmlbulS6No1WGL8d40aBYe/SpGRlQWnnQZffw0PPww77JB8fDwerL/fbTc477zgBGRJkqRiMCCUJEmlrl8/+OGHwp/Pzg4mUlWvHn5PUqmrUAHOOgtmzYI77oDatZOPX7cOHnwQGjeGyy6DX38Np09JklTmGRBKkqRS9dhjMGZM4tqgQcE2a1KkVakCF10ULCG+7rrUifmqVXDbbcH02xtugGXLwulTkiSVWQaEkiSp1Pz4I5xzTuLaoYfClVeG2o6U2WrUgIEDg+m2l1wClSsnH790aTC+USO4664gOJQkSUrAgFCSJJWKdeuge/cgw/i7rbcOtlTLzg6/Lynj1a4dzBCcPTtI2HNyko9ftCiYgbjLLjB8ePCXT5IkaSOxeDweL+0mpPImPz+f3NxcAObNm0eDBg1KuSNJyjzXXw/XXpu49vjjcMop4fYjlVmzZwfr8cePDw4sSWWXXYK/gF26BAeiSJKkyPM7AkmSFLr33gvyiUR69jQclIqlSZNgyu3nn8MJJ6QeP2tWcEryvvvCiy8WLVSUJEnlmgGhJEkK1dKl0K0brF9fuNa4Mdx3X/g9SeXCXnvBs88GCfzhh6ce//nncOyxcMghMG1a2tuTJEmZy4BQkiSF6vzzgzMW/i4nJ1ghmeqAVkkpHHggTJkCkydDq1apx7/7LrRpAx06wMcfp709SZKUeQwIJUlSaMaPD1ZCJnLddUXLMiQVUbt28P77wazCPfZIPf7VV2H//eEf/4Bvvkl7e5IkKXMYEEqSpFD88AOce27iWuvWcPnl4fYjRUIsFuxL+PnnMGYMNGyY+ppnnoE994ReveDHH9PdoSRJygAGhJIkKe3WrYPu3YP9B/+uZs0gt8jODr0tKTqys4O/hDNnwtChUK9e8vEFBTBqFOy6K/zzn/DTT+H0KUmSSoUBoSRJSrubbgq2OUvk4YchNzfcfqTIqlgxmMo7ezYMGQLbbJN8/Nq1cP/9wQlCV14JixeH06ckSQqVAaEkSUqrd96B669PXDvjDDj55HD7kQRstRVceinMmQMDB0K1asnHr1gBt9wSLFEePBiWLw+nT0mSFAoDQkmSlDa//w7dugWrFf+uSRO4997we5K0ka23Dk4ImjMH/vUvqFQp+fjff4errw5mFN57L6xeHU6fkiQprQwIJUlS2px3HvznP4U/n5MTnGicatKSpJBsuy3ceSfMmgVnnZV6U9Cff4b+/YM9Ch99NNhoVJIklVkGhJIkKS3Gjg1CwESuvx5atgy3H0lFkJsbbAz69ddw6qmpx8+dC2eeGZx6/NRTiacLS5KkjGdAKEmSStycOcHswURat4bLLgu3H0nFtOuu8Nhj8OmncOyxqcd/+y106RIk/6+8AvF4+nuUJEklxoBQkiSVqHXroHt3WLascK1WLRgzJvXqRUkZokULeOGF4LSh1q1Tj//kE+jYMRj79ttpb0+SJJUMA0JJklSibrgB3nsvce3hh4MVjJLKmP/7P5g6Ff79b9hvv9Tj33oLDj0Ujj46mIUoSZIymgGhJEkqMW+/DTfemLjWuzf84x/h9iOpBMVicOSR8OGH8PTT0LRp6mtefhn23RdOOSVYhixJkjKSAaEkSSoRS5YES4sTnVGwyy5w991hdyQpLWIx6NwZvvwS8vJgp51SX/Pkk7DHHtCnT3CwiSRJyigGhJIkaYvF48GhJP/5T+FaTk5wmnG1auH3JSmNsrOhZ89gZuD990PdusnHr18PI0YE7xhceCH8/HMobUqSpNQMCCVJ0hYbOzY48DSRG2+E/fcPtx9JIapUCc4/H77/Hm6+GWrWTD5+zRq45x5o1AiuuSaYfixJkkpVLB6Px0u7Cam8yc/PJ/d/u/DPmzePBg0alHJHkpQ+c+YEB50mOrW4bVuYPBmyfEtSio4lS+D22+Guu2DFitTja9WCyy+Hf/4Tttoq7e1JkqTC/HZdkiRttrVroWvXxOFgrVowerThoBQ5NWsGU4fnzIELLoCKFZOPX7wYrrgCGjeGBx4IZhhKkqRQ+S27JEnabNdfDx98kLg2fDg4gVqKsLp1g6XE330HZ56Z+t2Cn36Cfv1gt92CdxfWrw+nT0mSZEAoSZI2z1tvweDBiWt9+sBJJ4Xbj6QMtdNOweEkX30FJ5+cevyPPwaHnzRvDhMnBqcgSZKktDIglCRJxbZkCXTvDgUFhWu77gp33x12R5IyXtOm8OST8PHH0LFj6vFffx2809CqFbz2mkGhJElpZEAoSZKKJR6Hc86BuXML1ypUgPHjoWrV8PuSVEbsuy+89BK8+SYcckjq8R99BEceCYcfDu+9l/7+JEmKIANCSZJULKNHwxNPJK7deCPst1+4/Ugqow49NAgJX3opOAo9lTfegP/7Pzj+ePjii3R3J0lSpBgQSpKkIps9OzhDIJHDD4dLLgm3H0llXCwWLDf++ONg+fFuu6W+5oUXgkCxa1eYNSvtLUqSFAUGhJIkqUjWroVu3WD58sK1bbYJZhamOqRUkhLKygoOMPnyy+BAk9zc5OPjcXjsMdh9d+jbF/Lzw+lTkqRyym/jJUlSkVx3HUyfnrg2fDjssEO4/Ugqh3Jy4Mwzg5mB99wD226bfPz69fDww9CkCVx8MfzySzh9SpJUzhgQSpKklN58EwYPTlw7+2zo1CncfiSVc5UqwQUXwJw5weamW2+dfPzq1XDnndCoEVx7LSxdGk6fkiSVEwaEkiQpqcWLoXv3YEXf3+22W/AzuSSlRbVqcPXVQVB4+eVQpUry8cuXw/XXQ8OGcPvtsHJlOH1KklTGGRBKkqRNisfhnHNg3rzCtQoVgi3AqlYNvy9JEbPNNnDLLfD993D++cF/gJL57Te49NJg6fGwYcEmqpIkaZMMCCVJ0iaNGhUcLJrI4MGwzz7h9iMp4urVg/vvh2+/hZ49U5+MtGBB8C5H06YwblywZ6EkSSrEgFCSJCU0ezb065e4dsQRcNFF4fYjSRs0bAh5eTBjBpx0Uurxc+YEeyW0aAHPPZd4zwRJkiLMgFCSJBWydi107Qp//FG4Vrt2MLMw1cQdSUq7Zs3gmWeCI9aPPDL1+C+/hBNPhIMOgtdfT3t7kiSVFX5rL0mSCrn2Wvjww8S1ESOgfv1w+5GkpFq2hH//G6ZODcK/VD74ANq1C6ZDf/BB+vuTJCnDGRBKkqS/eOON4CyARPr2hRNOCLUdSSq6Nm3gnXfghRegefPU46dMgQMPhE6dgtmFkiRFlAGhJEna4LffoEePxNtzNW0Kd94Zfk+SVCyxGBx7LHz6aXDUepMmqa959tkgUOzRI9ivUJKkiDEglCRJQBAK9u0L+fmFaxUqwPjxsNVW4fclSZslKwtOPRW+/hoefhh22CH5+Hgcxo6F3XaD884LTkCWJCkiDAglSRIAjz4KTz+duHbzzbDPPuH2I0klokIFOOus4Gj2O++EOnWSj1+3Dh58EBo3hssug19/DadPSZJKkQGhJEli1iy44ILEtfbt4V//CrcfSSpxlSsH/zH7/nu47jqoXj35+FWr4LbboFEjuOEGWLYsnD4lSSoFBoSSJEXcmjXQtSv88UfhWu3akJcXrNSTpHKhRg0YOBB++AEuvTQIDpNZujQY36gR3HVXEBxKklTO+O2+JEkRd+218NFHiWsjR0L9+uH2I0mhqF0bhgwJZhSecw7k5CQfv2gRXHQR7LILDB8eLEWWJKmcMCCUJCnCpk6FW29NXDv3XDj++HD7kaTQ1a8f7Dk4cyZ07x6cgpxMfn6wp2GzZvD441BQEE6fkiSlkQGhJEkR9dtv0KNHcHDn3+2+O9x+e/g9SVKpadwYxoyBzz+HE05IPX7WLDjttOAEp0mTEv/HVJKkMsKAUJKkCIrH4eyzYf78wrWKFeGxx2CrrcLvS5JK3V57wbPPwvvvQ7t2qcd/8QUcdxwccghMm5b29iRJSgcDQkmSImjkSHjmmcS1W26BvfcOtx9JyjgHHACTJwcfrVqlHv/uu9CmDXToAB9/nPb2JEkqSQaECs3PP//MpEmTGDhwIB07dqROnTrEYjFisRi9evUqsecMGjRow31Tfbzxxhsl9lxJKiu+/RYuuCBx7cgjoX//cPuRpIzWrl0wm/DZZ2GPPVKPf/VV2H9/+Mc/4Jtv0t6eJEklIcVRXVLJqVu3bmm3IEmRt2YNdOsGK1YUrtWpA3l5kOXbh5L0V7FYsC/hsccGB5MMHAhz5iS/5plnYOLEYLPXQYNg553D6FSSpM1iQKhSkZuby+67786rr76a1ufMmDEjab1hw4Zpfb4kZZoBAza98u3RR6FevXD7kaQyJTs7eJfl5JODvRquvx4WLtz0+IICGDUKxo8PNn695hrYfvvw+pUkqYgMCBWagQMH0rJlS1q2bEndunX58ccf0x7Q7bnnnmm9vySVJa+/Drfdlrh23nnBxBhJUhFUrAjnnAOnnw5Dh8LNNwdHw2/K2rXwwANBqNi/P1x2GdSqFV6/kiSl4CIihea6667j2GOPdamxJJWCX38NVrnF44VrzZrB7beH35MklXlbbQWXXBIsNx44EKpVSz5+5crgJKiGDWHwYFi+PJw+JUlKwYBQkqRyLh6Hs86CBQsK1ypWhMcegypVwu9LksqNrbeG664LgsKLLoJKlZKP//13uPpqaNwY7r0XVq8Op09JkjbBgFCSpHJu+PBgn/xEbr0VmjcPtx9JKre23RbuuANmzQremcnOTj7+55+DJce77hpsBLtuXTh9SpL0NwaEKtfat29P7dq1qVixIttttx1t2rThlltuYfHixVt03/z8/KQfC5NtVi1JIfr2W7jwwsS1Dh3gggtCbUeSoiE3Fx5+GL75Bk47LfX4uXPhzDNhzz3hqaeCw00kSQqRAaHKtcmTJ/Pbb7+xdu1afvnlF6ZNm8aVV15Jo0aNeO655zb7vrm5uUk/WrVqVYJ/CknaPGvWQNeusGJF4dq220JeHmT5nYAkpc8uuwQnGH/2WdFOgvr2W+jSBfbfH15+OfHGsZIkpYE/Fqhc2muvvRgwYAAvvPACH3/8Me+//z6jRo3iyCOPBGDJkiV07tyZl19+uZQ7laT0ueYa+OSTxLVHH4Xttw+3H0mKrL33hhdegHfegdatU4//9FM4+uhg7Ntvp78/SVLkxeJx35ZS6fjxxx9p2LAhAD179iQvL69E7rtkyRJq1qy5yfqwYcM455xzAKhfvz6zZ8+mSjF358/Pz09aX7hw4YZZhPPmzaNBgwbFur8kbakpU+CIIxLX+vWD++4Ltx9J0v/E4zB5Mlx1FXz0UdGu6dgRbroJ9tknvb1JkiLLGYQqd5KFgwB9+/alT58+ACxYsIAJEyYU+xkNGjRI+lGvXr3NaV2SSsSvv8Lppyeu7bknDBkSbj+SpI3EYtC+PUyfDs88A7vvnvqal1+GffeFU04JliFLklTCDAgVSX379t3wetq0aaXYiSSVrHgc+vSBBQsK1ypVCrbCKuakaUlSOsRicNJJMGNGsCnsTjulvubJJ6FZM+jdOzjYRJKkEmJAqEhq1qzZhtfz588vxU4kqWQ9/DA8+2zi2pAhsNdeobYjSUolOxt69gxmBt5/P9Stm3x8QQGMHBkcgHLhhfDzz6G0KUkq3wwIFUluvSmpPPrmG/jXvxLXOnaEf/4z3H4kScVQqRKcfz58/z3ccgvUqpV8/Jo1cM890KhRcCrVkiWhtClJKp8MCBVJX3/99YbX9evXL8VOJKlkrF4NXbvCypWFa9ttF5xaHIuF35ckqZiqVoXLL4c5c+Dqq4PfJ/PHH8EBJo0awa23wooV4fQpSSpXDAgVScOGDdvwunXr1qXYiSSVjKuvhs8+S1x79NHUK9YkSRmmZk248cZgRmH//lCxYvLxixfDFVdA48bwwAPBDENJkorIgFBlSl5eHrFYjFgsxqBBgwrVZ8yYwezZs5PeY9iwYYwYMQKA7bffnk6dOqWjVUkKzWuvwR13JK79859w9NHh9iNJKkF168Ldd8N338GZZ0JWih/hfvoJ+vWD3XaDUaNg/fpQ2pQklW05pd2AouPtt9/+S3i3aNGiDa9nz55NXl7eX8b36tWr2M/4+OOP6dOnD23btqVjx47stdde1K5dm3Xr1jFz5kzGjh3La6+9BkB2djbDhg2jaqplG5KUwRYtCva2T2TPPYODSSRJ5cBOO8GIEXDppXDttcGJxsn8+CP06hUsO77xRujUyb0mJEmbZECo0AwfPpxRo0YlrL3zzju88847f/nc5gSEAOvXr2fy5MlMnjx5k2Nq167NiBEjOP744zfrGZKUCeJx6N0bFi4sXKtUCR57DCpXDr8vSVIaNW0KTzwRLCe++mp4+eXk47/5Bjp3hv33h8GD4YgjDAolSYW4xFjlytFHH82IESPo06cP++23Hw0aNKBKlSpUrlyZ+vXr07FjR+655x7mzJnDCSecUNrtStIWGTYMnn8+ce2224IZhJKkcmqffeCll+DNN+GQQ1KP/+gjOPJIOPxweO+99PcnSSpTYvF4PF7aTUjlTX5+Prm5uQDMmzePBg0alHJHksqbb76B/fZLfGrx0UfDpElOEJGkyIjH4ZVXghmFn35atGuOPTY4/bh58/T2JkkqE5xBKElSGbN6NZx2WuJwsG7d4NRiw0FJipBYDDp2DGYJPvlkcEBJKpMmwd57Q9euMGtW+nuUJGU0A0JJksqYq66Czz9PXMvLg+22C7UdSVKmyMqCk0+GL7+EkSNhxx1TX/PYY7D77nD22ZCfn/4eJUkZyYBQkqQy5NVX4c47E9f694ejjgq3H0lSBsrJgTPOgO++g3vuSf3O0fr18Mgj0KQJXHwx/PJLOH1KkjKGAaEkSWXEL79Az56Ja82bwy23hNuPJCnDVaoEF1wA338f7De49dbJx69eHbwL1agRXHstLF0aTp+SpFJnQChJUhkQj8OZZ8JPPxWuVa4M48cHv0qSVEi1asH+FHPmwBVXQJUqyccvXw7XXw8NG8Lttyfe9FaSVK4YEEqSVAY8+GCwn3wit98Oe+wRbj+SpDJom23g5puDGYX9+kGFCsnH//YbXHppsPT4oYdg7dpw+pQkhc6AUJKkDPfVV8GWUIkceyycd164/UiSyrh69eC++4I9Cnv2DA43SWbBAjj3XGjaFMaNC/YslCSVKwaEkiRlsFWroGvX4Ne/q1sXRoyAWCz8viRJ5cDOO0NeHsyYAZ07px4/Zw507w4tWsBzzwX7X0iSygUDQkmSMtiVV8IXXySujRqV+mBKSZJSatYMnn4aPvwQjjwy9fgvv4QTT4SDDoLXX097e5Kk9DMglCQpQ73yCtx9d+LahRdChw5hdiNJKvf23x/+/W+YOjUI/1L54ANo1w6OOCJ4LUkqswwIJUnKQD//DL16Ja41bx7sMS9JUlq0aQPvvBOcjrX33qnHT5kCBx4YzCr88st0dydJSgMDQkmSMkw8Dr17w3//W7hWuTI89ljwqyRJaROLwTHHwCefBP/wNGmS+prnngvexerRIzgpWZJUZhgQSpKUYYYODSZtJHLHHcFWUZIkhSIrC049Fb7+Gh55BBo0SD4+HoexY4MTj889NzgBWZKU8QwIJUnKIF99BZdckrh23HHBz1qSJIWuQgXo0wdmzYI774Q6dZKPX7cOHnoIGjeGyy6DX38Np09J0mYxIJQkKUOsWgWnnRb8+nfbbw8jRgQrviRJKjWVK8O//gVz5sB110H16snHr1oFt90GjRrB9dfDsmXh9ClJKhYDQkmSMsQVV8CMGYlro0fDttuG248kSZtUvToMHAg//ACXXpp6c9ylS+Haa4Og8K67Er8bJkkqNQaEkiRlgJdfhnvuSVy76CJo3z7cfiRJKpLatWHIkOBQknPPhZyc5OMXLQr+Ydtll2BPw7Vrw+lTkpSUAaEkSaXsv/+FXr0S11q0gMGDw+xGkqTNUL9+cMrWzJnQvXvqPTHy8+Hss2GPPeDxx6GgIJw+JUkJGRBKklSK4nE480z4+efCtSpVYPx4qFQp/L4kSdosjRvDmDHwxRdw4ompx8+aFWzAu88+MGlS8A+jJCl0BoSSJJWi+++Hl15KXLvzTth993D7kSSpROy5J0ycCO+/D+3apR7/xRdw3HFwyCEwbVr6+5Mk/YUBoSRJpWTGjGBf90ROOAH69g23H0mSStwBB8DkycHHAQekHv/uu9CmDXToAB99lPb2JEkBA0JJkkrBypXQtSusXl24Vq8eDB+eevsmSZLKjHbt4L334LnngtmFqbz6KrRsCZ07w9dfp78/SYo4A0JJkkrB5ZfDl18mro0aBXXqhNuPJElpF4vB8cfDZ5/B2LHQqFHqayZMgL32Ck7z+vHHNDcoSdFlQChJUsheegnuuy9x7eKLoX37cPuRJClU2dnQrVtw4vGDDwZT55MpKAjePdt1V+jXD376KZw+JSlCDAglSQrRf/8LZ5yRuNaiBdx0U6jtSJJUeipUgHPOge+/h9tug222ST5+7Vp44IFg5uGVV8Jvv4XTpyRFgAGhJEkhiceDcPDnnwvXqlSBxx6DSpXC70uSpFJVpQpccgn88ANcey1Uq5Z8/MqVcMstQVB4002wfHk4fUpSOWZAKElSSO67D15+OXHt7ruhadNQ25EkKbPUqAGDBsGcOXDRRanfNfv9d7jmGmjcGO69N/HJX5KkIjEglCQpBDNmwGWXJa516gRnnRVuP5IkZaxtt4U77oDZs+Hss4M9C5P5+Wfo3z/Yo3DkSFi3Lpw+JakcMSCUJCnNVq6E005LPLGhfn145JHgYEdJkrSRBg1g2DD45pvgH9JU5s6F3r1hzz3hqaeCw00kSUViQChJUppddhl89VXhz8diMHo01K4dfk+SJJUZu+wC48fDZ5/BccelHv/tt9ClC+y/f7C3Rzye9hYlqawzIJQkKY0mTYL7709cu+QSaNcu3H4kSSqz9t4bnn8e3n0X2rRJPf7TT+Hoo+Gww+Ctt9LenlRe/fjjj8RisaQfvXr1KtK98vLyUt4rLy8vrX8eJWZAKElSmvz0U3BqcSL77gs33hhuP5IklQsHHQSvvw6vvhrMEkzl7beDkPDoo4PQUJJUiAGhJElpUFAAvXrBokWFa1ttFayUqlgx9LYkSSofYjFo3x6mT4cJE6BZs9TXvPxy8A5dly7BMmRJ0gYGhJIkpcG998K//524dvfdsNtuobYjSVL5FItBp07wxRcwahTsvHPqa556KggUe/cODjaRJBkQSpJU0j7/HC6/PHGtUyfo0yfcfiRJKveys+H004OZgQ88ANtvn3x8QQGMHBkcgHLhhfDf/4bSpiRlKgNCSZJK0MqV0LUrrFlTuLbDDvDII8FkB0mSlAYVK8J558H338Mtt0CtWsnHr1kD99wDjRvDNdfAkiWhtClJmcaAUJKkEnTJJfD114U/H4vB6NFQu3b4PUmSFDlbbRVM558zJwj+qlZNPv6PP+Cmm6BhwyBY/OOPcPqUpAxhQChJUgl54QUYOjRx7dJL4fDDw+1HkqTIq1kTbrghmFHYv3/qE8KWLIErr4QmTYKlyomWBEhSOWRAKElSCVi4EM48M3Ftv/2Cn00kSVIpqVs3OCVs1qzgH+ysFD8K//QT9OsXnCo2ahSsXx9Km5JUWgwIJUnaQgUF0KsXLFpUuLbVVjB+fOoJC5IkKQQ77ggjRgT7gXTpknr8jz8G/8jvtRdMmADxeLo7lKRSYUAoSdIWuuceePXVxLV774Vddw23H0mSlMJuu8ETT8Ann8DRR6ce/8030LkztGoV/KNvUCipnDEglCRpC3z2GVxxReJa586bXnYsSZIywD77wIsvwltvwaGHph7/0UfQoQO0bQvvvpv+/iQpJAaEkiRtphUroGvXxPuXN2gADz8cnF4sSZIy3CGHwLRp8PLLQWiYyrRpcPDBcNxx8Pnn6e9PktLMgFCSpM108cXBiqO/i8VgzBjYZpvwe5IkSZspFoOjjgpmCT75ZLAMOZVJk6BFi+Adw1mz0t6iVNYVFBSUdgvaBANCSZI2w3PPwUMPJa5dfjm0aRNqO5IkqaRkZcHJJ8OXX8LIkcHBJqk89hjsvjucfTbk56e/RynDrC/iSd9Lly5NcyfaXAaEkiQV04IF0Lt34tr++8N114XbjyRJSoOcHDjjDPjuu+DUse22Sz5+/Xp45BFo0iRYZvDLL+H0KWWAVatWFWnc/Pnz09yJNpcBoSRJxVBQAD17wq+/Fq5VrQrjx0PFiuH3JUmS0qRSJfjnP+H77+Gmm2DrrZOPX70a7rwTGjWCa6+F338Pp08pTbKzs1OOWbZsWZHu9fHHH29pO0oTA0JJkorhrrtg8uTEtXvvhV12CbcfSZIUkmrV4Kqr4Icf4MorYautko9fvhyuvz4ICm+7DVauDKdPqYTVqFEj5ZgFCxakHPPLL7/w1ltvlURLSgMDQkmSiujTT4OfBxL5xz+CVUiSJKmcq1ULBg8OZhT26wcVKiQf/9tvcNllwdLjhx6CtWvD6VMqITVq1CArK3l8NHPmTFasWJF0zO233866detKsjWVIANCSZKKYMWK4IDCRN/TN2gADz8cHH4oSZIiYvvt4b77gj0Ke/UKDjdJZsECOPdcaNoUxo0L9iyUyoBYLEajRo2Sjlm7di0PbeoEP+C1117jrrvuKunWVIIMCCVJKoKLLoKZMwt/PhaDsWODyQSSJCmCdt4ZHn00OPW4c+fU4+fMge7doUULeO45iMfT3aG0xVq1apVyzBVXXMHQoUNZu9E76kuXLmXIkCEcf/zxf/m8Mo8BoSRJKTz7LAwblrh2xRXQunWo7UiSpEy0++7w9NPw4YfQoUPq8V9+CSeeCAceCFOmpL09aUt0KMLX9Nq1azn//POpW7cuBx54IM2bN2e77bbj8ssvL/Ipxyo9BoSSJCWxYAH06ZO41rIlXHdduP1IkqQMt//+8Mor8MYb8H//l3r89OlwxBHBxwcfpL09aXN06dKFWkVcMrN48WI++OADZsyYwerVq9PcmUqKAaEkSZtQUACnnw6//lq4VrUqjB+fel9ySZIUUa1bw9tvw6RJsPfeqcdPmRLMJjzxxGB2oZRBKleuzIABA7boHjk5OZx00kkl1JFKmgGhJEmbcOedm17xc//9wWGEkiRJmxSLwTHHwCefwOOPwy67pL7mueegeXPo0SM4KVnKEP3796d9+/abdW2VKlV46qmnOO6440q4K5UUA0JJkhL45BO46qrEtS5doGfPcPuRJEllWFYWnHIKfPUVPPIINGiQfHw8HpyC1rRpcPLx/Pnh9CklkZWVxfPPP0+nTp2KdV2zZs149913OfHEE9PTmEqEAaEkSX/zxx9w2mmQ6KC13Fx46KFgQoAkSVKxVKgQbG48axbcdRfUqZN8/Lp1wTceTZrApZcm3vdEClHlypWZMGECEyZMYL/99ks6do899uChhx7i888/p0WLFuE0qM0Wi8c9U10qafn5+eTm5gIwb948GqR6h1BSRjn77ODN/b/LyoKpU+Gww8LvSZIklUPLlsHdd8Ptt8PSpanHV68Ol1wC//pX8FoqZQsXLuTdd9/lp59+YsmSJVSqVIkdd9yR/fffn0aNGpV2eyoGA0IpDQwIpbJr4kTY1N7JV18NN94Ybj+SJCkCfv0VhgyBe++FVatSj69TJ9gL5dxzoXLl9PcnqdxzibEkSf8zf36w6ieRAw6Aa68Ntx9JkhQRtWvDrbcGh5Kcey7k5CQfv2gRXHRRcOjJI48k3hdFkorBgFCSJKCgAE4/HX77rXCtWjUYNy7YNkiSJClt6teHoUPh22+DU4xTbXqcnx/sjbLHHsEpyQUF4fQpqdwxIJQkiWDrn9dfT1y7/35o3DjcfiRJUoQ1agSjR8MXX0BRTn6dNSs4YW2ffWDSpOAUZEkqBgNCSVLkffxxsL9gIqecEswslCRJCt2eewYbJH/wARxxROrxX3wBxx0HBx8Mb7yR9vYklR8GhJKkSPvjD+jaFdatK1zbcUd46KHUq3skSZLSqlUreO01mDIl2Bg5lffeg7ZtoUMH+Oij9PcnqcwzIJQkRdqFF8J33xX+fFYWjB0LNWuG3ZEkSdImHH54EP4991wwuzCVV1+Fli2hc2f4+uv09yepzDIglCRF1jPPwPDhiWtXXQWHHhpuP5IkSSnFYnD88fDZZ8EpakXZKHnCBNhrL+jVC374Id0dSiqDDAglSZGUnw9nnZW4duCBMHBguP1IkiQVS3Z2sE/KN98Ee6LUr598fEEBjBoFu+0G/frBwoXh9CmpTDAglCRFzvr1wcEjixcXrlWvHrwZX6FC+H1JkiQVW4UK0LcvzJ4Nt90G22yTfPzatfDAA8HMwyuvhN9+C6dPSRnNgFCSFDm33w5TpyauPfAANGoUbj+SJElbrEoVuOSSYAnxtddCtWrJx69cCbfcEnzjc9NNsHx5OH1KykgGhJKkSPnwQ7jmmsS1006D7t3D7UeSJKlE1agBgwYFQeHFF0OlSsnH//578M1R48Zw772wenUobUrKLAaEkqTIWL4cunWDdesK13baCR58MNj3W5IkqcyrUydYNjF7Npx9drBnYTI//wz9+8Ouu8LIkYm/YZJUbhkQSpIio39/mDWr8OezsoJ9B7feOvyeJEmS0qpBAxg2DGbODA41SfVu6Ny50Ls37LEHPPlkcLiJpHLPgFCSFAlPPx28GZ7INdfAwQeH248kSVKomjQJ3hH97DM47rjU47/7Dk45BfbfH15+GeLxtLcoqfQYEEqSyr158+CssxLXDjoIBgwItx9JkqRS07w5PP88vPsutGmTevynn8LRR8Nhh8Fbb6W9PUmlw4BQklSurV8PPXrAkiWFa9WrB2+k5+SE3pYkSVLpOuggeP11eO01aNky9fi33w5CwqOPDkJDSeWKAaEkqVwbMgSmTUtcGzoUGjYMtx9JkqSMEYvBEUfABx/AhAnQrFnqa15+GfbdF7p0CfY1lFQuGBBKksqtDz+EgQMT17p2he7dw+1HkiQpI8Vi0KkTfPEFjBoFO++c+pqnngoOMundG/7zn7S3KCm9DAglSeXS8uVBCLhuXeHazjsHswclSZK0kexsOP10+PZbeOAB2H775OMLCoJT4HbdFfr3h//+N5w+JZU4A0JJUrl0wQUwe3bhz2dlwdixsPXW4fckSZJUJlSsCOedB99/D7feCrVqJR+/Zg3cey80bgzXXJN482dJGc2AUJJU7jz1FDz6aOLawIFw8MHh9iNJklQmbbUVXHYZzJkTBH9VqyYf/8cfcNNNwSbPt9wS/F5SmWBAKEkqV+bOhbPPTlw7+GC4+upw+5EkSSrzataEG24IgsILLwxmGCazZAlceSU0aRIsVV6zJoQmJW0JA0JJUrmxfj306JF4VUuNGsHS4pyc0NuSJEkqH7bbDu66C2bNCg4nyUoRKfz0E/TrB7vtFhx+sn59OH1KKjYDQklSuXHLLfDmm4lrDz5YtAP5JEmSlMKOO8Lw4fD113DKKanH//gj9OoFe+0FEyZAPJ7uDiUVkwGhJKlc+OADuPbaxLXu3YMTjSVJklSCdtsNHn8cPv0Ujj469fhvvoHOnaFlS3j1VYNCKYMYEEqSyrxly4IAMNGqlYYNg61vJEmSlCYtWsCLL8Jbb8Ghh6Ye//HH0KEDtG0L776b9vYkpWZAKEkq8/75z2DP7L/LzoZx44L9ByVJkpRmhxwC06bByy/DPvukHj9tWnCK3HHHweefp78/SZtkQChJKtOeeCLY8zqRgQPhoIPC7UeSJCnSYjE46ij46CN46qlgGXIqkyYFsxBPOy04AEVS6AwIJUll1n/+A337Jq4dfDBcdVW4/UiSJOl/srLgH/+AL7+ERx8NDjZJ5fHHYffd4eyzYd689PcoaQMDQklSmbR+PfToAb//XrhWowaMHQs5OeH3JUmSpI3k5AQnGH/3Hdx7L2y3XfLx69fDI4/ALrvARRfBL7+E0qYUdQaEkqQy6eabg32wE3noIdh551DbkSRJUjKVKv3/jaMHD4aaNZOPX70a7roLGjWCa69N/K6wpBJjQChJKnPefx8GDUpc69Ej2L5GkiRJGahqVbjyyiAovPJK2Gqr5OOXL4frrw+CwttugxUrwulTihgDQklSmbJ0KXTrFqw++btGjeD++8PvSZIkScVUq1Ywk/D776FfP6hQIfn4336Dyy6DJk3gwQdhzZpw+pQiwoBQklSm/Lky5e+ys2HcuGD/QUmSJJUR228P990X7FHYq1dwuEkyCxfCeecFh5mMHZv4XWNJxWZAKEkqMx5/HEaPTlwbNAgOPDDUdiRJklRSdt45OO34yy+D049TmTMn2FumRQt47jmIx9PdoVSuGRBKksqEH3+Ec85JXDv00GALG0mSJJVxu+8OTz0FH30EHTqkHv/ll3DiicE7xVOmpL09qbwyIJQkZbx166B798SH1229dbC6JDs7/L4kSZKUJvvtB6+8Am+8Af/3f6nHT58ORxwRfHzwQdrbk8obA0JJUsYbPBjeeSdxbdgw2HHHcPuRJElSSFq3hrffhhdfhL33Tj1+ypRgNuGJJ8KMGWlvTyovDAglSRntvffg+usT13r2hFNOCbcfSZIkhSwWg6OPhk8+CTal3mWX1Nc891wQKHbvHpyULCkpA0JJUsZauhS6dUt8OF3jxsGBd5IkSYqIrKzg3eGvv4bhw6FBg+Tj43EYNw6aNoVzz4X588PpUyqDDAglSRnr/PPhhx8Kfz47O/her3r18HuSJElSKcvJgd69YdYsuOsuqFMn+fh16+Chh6BJE7j0Uvj113D6lMoQA0JJUkYaPz44fCSR666DAw4Itx9JkiRlmMqV4cILYc6cYE+aGjWSj1+1Cm6/HRo2DMYvWxZKm1JZEIvH4/HSbkIqb/Lz88nNzQVg3rx5NEg19V3SX/zwA7RoESwx/rvDDoPXX/fUYkmSJP3Nr7/CkCHBPjQrV6YeX6cOXHllsPy4SpX09ydlMGcQSpIyyrp1wV7SicLBmjVhzBjDQUmSJCVQuzbceivMng3nnRcsRU5m0SK4+OLg0JNHHoG1a8PpU8pABoSSpIxy003w7ruJa8OGwY47htuPJEmSypj69eGBB+Dbb6FHj+AU5GTmz4ezz4ZmzeCxx6CgIJw+pQxiQChJyhjvvhtsB5NIr17QpUuo7UiSJKksa9QIRo+GGTOgU6fU42fPhq5dYZ99YNKk4BRkKSIMCCVJGeH336Fbt8Rv2DZuDPfeG35PkiRJKgf22AMmTIAPPoAjjkg9/osv4Ljj4OCD4Y030t6elAkMCCVJGeH88+HHHwt/PicnONG4evXQW5IkSVJ50qoVvPYaTJkCBx6Yevx770HbtnDkkfDhh+nvTypFBoSSpFI3diyMG5e4dv31wfdykiRJUok4/PBgb5vnn4e99ko9/rXXgm9IO3eGr79Of39SKTAglCSVqjlzgkPmEmndGi67LNx+JEmSFAGxWLCM+LPPgneqGzdOfc2ECUGg2LMn/PBD2luUwmRAKEkqNevWQffusGxZ4VqtWjBmDGRnh9+XJEmSIiIrKziY5JtvYNiw4ATkZAoKgoNPdtsN+vWDhQvD6VNKMwNCSVKpueGGYGuXRB5+GHJzw+1HkiRJEVWhApx9dnCS8e23Q+3aycevXQsPPBDMPLziCvjtt3D6lNLEgFCSVCrefhtuvDFx7cwz4R//CLcfSZIkiSpV4OKLg31wBg1KfVLeypVw663QqBHcdBMsXx5Km1JJMyCUJIVuyZJgaXFBQeHaLrvAPfeE3pIkSZL0/9WoAddeGwSFF18MlSolH//773DNNUFQeM89sGpVOH1KJcSAUJIUqng8OJTkP/8pXMvJCfaIrlYt/L4kSZKkQurUCZYcz54Nffum3iD7l1/gwgth111h5Mhg022pDDAglCSFauxYeOyxxLUbboCWLcPtR5IkSUqpQQN46CGYOTM41CQWSz5+3jzo3Rv22AOefDLx0pmNLV0KX38N06cHvy5dWnK9S0VgQKjQ/Pzzz0yaNImBAwfSsWNH6tSpQywWIxaL0atXr7Q88/HHH6dDhw7Uq1ePypUrs/POO9OjRw/ef//9tDxPUnJz5sD55yeutWkDl14aajuSJElS8TRpEix5+ewzOP741OO/+w5OOQX23x9efjlYTvOneBymTg02395mmyBMPOCA4NdttoGTTw7qG18jpUksHvcrTeGIJXmHpWfPnuTl5ZXYs1atWsXJJ5/MpEmTEtazsrIYNGgQAwYMKLFnbiw/P5/c/x2/Om/ePBo0aJCW50hlydq1cNhhkCifr1ULvvgieGNWkiRJKjPeew+uugreeKNo4w85BAYPhqpV4fTT4auvUl+zxx4wejTsu+8WtSol4wxClYrc3FyOPPLItN2/d+/eG8LBtm3b8uyzzzJ9+nRGjBhB48aNKSgoYODAgQwfPjxtPUj6qxtuSBwOAjzyiOGgJEmSyqCDDoLXX4fXXivaXjlvvx28a96qVdHCQQjGHXZY8AwpTZxBqNBce+21tGzZkpYtW1K3bl1+/PFHGjZsCJTsDMJp06bRpk0bAI477jgmTpxI9kYbyS5atIj99tuPuXPnUqtWLebMmUPNmjVL5Nl/cgah9FdvvRUsIU609Urv3mBWL0mSpDIvHofnnoOrrw72ESxpVavCm286k1Bp4QxChea6667j2GOPpW7duml9zpAhQwDIzs5m6NChfwkHAerUqcOtt94KwOLFixkxYkRa+5GibskS6N49cTi4665w991hdyRJkiSlQSwGJ54Y7J0zejT8b0JMifnjD+jZ0z0JlRYGhCpXli9fzpQpUwBo3779JmfunXTSSdSoUQOACRMmhNafFDXxOJxzDsydW7hWoQKMHw/VqoXflyRJkpQ22dnQo0dw4vHQoVCvXsnd+8svYdq0kruf9D8GhCpXpk+fzurVqwFo3br1JsdVrFiRAw88cMM1a9euDaU/KWpGj4Ynnkhcu/FG2G+/cPuRJEmSQlOxIpx7LsyeDbfeGrxDXhKGDi2Z+0gbMSBUufLNN99seN20adOkY/+sr1u3jlmzZhXrOfn5+Uk/Fi5cWPzmpXJm9mzo1y9x7fDD4ZJLwu1HkiRJKhVbbRUsq0m0587mmDABli4tmXtJ/5NT2g1IJWnevHkbXqc6GOTPQ0T+vK5Zs2ZFfs7G10oqbO1a6NYNli8vXNtmm2BmYZZvUUmSJCkq8vNh/fqSudf69TB/Pvxv2yypJPjjmcqVZcuWbXhdLcXGZlWrVt3wenmiFEPSZrvuOpg+PXFt+HDYYYdw+5EkSZJKVUn/zLnRz75SSXAGocqVVatWbXhdsWLFpGMrVaq04fXKlSuL9ZyNZyomsnDhQlq1alWse0rlxZtvwuDBiWtnnQWdOoXbjyRJklTqSvpkvurVS/Z+ijwDQpUrlStX3vB6zZo1Scf+eZgJQJUqVYr1nFTLl6WoWrwYuncPTi/+u912g7vuCr8nSZIkqdQ1aBCcblwSy4xzclySoxLnEmOVK9U3ehcl1bLhP/74Y8PrVMuRJaUWjwd7LyeaYFuhAowfDxut7JckSZKio0aNkltK06mT+w+qxBkQqlzZeGZffn5+0rEbLxP20BFpy40aBU8+mbh2002w777h9iNJkiRllPPOy6z7SBsxIFS5svFJxDNnzkw69s96Tk4OTZo0SWtfUnk3ezb065e41q4dXHxxuP1IkiRJGadNG1Y02mPL7rHnntC6dcn0I23EgFDlSsuWLTccTjJt2rRNjluzZg3vv/9+oWskFd/atdC1K2y0an+DbbYJZhZm+a+NJEmSIm7pshinrh7NcjZz352qVYNvrmOxkm1MwoBQ5Uz16tVp164dAJMnT97kMuMJEyawdOlSADp5pKq0RQYNgg8/TFwbMcL9kyVJkiSAf/4TXpi/L52YWPyQsGpVmDjRfXuUNgaEKlPy8vKIxWLEYjEGDRqUcMwll1wCwLp16zj//PNZ/7dTohYtWsTll18OQM2aNenTp09ae5bKs2nT4OabE9fOPhtOPDHUdiRJkqSM9PjjMHp08Hoy7TmMN/mSIi433nNPePNNaN8+fQ0q8nJKuwFFx9tvv83s2bM3/H7RokUbXs+ePZu8vLy/jO/Vq9dmPefwww/n1FNP5fHHH+f555+nffv2XHjhhdSvX58ZM2Zw0003MXfuXABuueUWatWqtVnPkaJu8WLo3j04vfjvmjaFO+8MvydJkiQp0/znP3DOOX/93Kfsy17MoN+e07h3tweIPTsRNp7ckpMTnFZ83nnBnoMuK1aaGRAqNMOHD2fUqFEJa++88w7vvPPOXz63uQEhwMiRI1m6dCkvvfQSU6dOZerUqX+pZ2VlMWDAAPr27bvZz5CiLB4PZggmWsVfoQKMHx+sgpAkSZKibN264E31338vXNt66xiXTGpDbKc2sHQpzJ8Py5ZB9erBPj01aoTer6LLgFDlUpUqVXjxxRcZP348eXl5fP755yxZsoS6dety6KGH0q9fPw466KDSblMqsx59FJ5+OnHt5pthn33C7UeSJEnKRDffDG+/nbj20EOw007/+02NGgaCKlWxeDzR4jBJWyI/P5/c3FwA5s2bR4MGDUq5I6nkzJoVBICJTi1u3x5eecVTiyVJkqT33oNDD/3ryuE/nX56cCCxlCn8EU6SVGRr1kDXronDwdq1IS/PcFCSJElauhS6dUscDjZqBPffH35PUjL+GCdJKrJrr4WPPkpcGzkS6tcPtx9JkiQpE/XrBz/8UPjz2dnBft3Vq4ffk5SMAaEkqUimToVbb01cO+ccOP74cPuRJEmSMtH48TBmTOLaoEFwwAGhtiMViQGhJCml336DHj2C04v/bvfd4Y47wu9JkiRJyjQ//ADnnpu4duihcOWV4fYjFZUBoSQpqXgczj4b5s8vXKtYMXiHdKutwu9LkiRJyiTr1kH37sH+g3+39dYwdmywxFjKRAaEkqSkRo6EZ55JXLv5ZmjRItR2JEmSpIx0003w7ruJa8OGwY47htuPVBwGhJKkTfruO7jggsS1I4+ECy8MtR1JkiQpI737Llx/feJaz55wyinh9iMVlwGhJCmhNWuga1dYsaJwrU4dyMuDLP8VkSRJUsT9/jt06wYFBYVrjRvDffeF35NUXP5oJ0lKaOBA+PjjxLURI6BevXD7kSRJkjLR+efDjz8W/nxOTrBfd/XqobckFZsBoSSpkNdfhyFDEtfOOw+OPz7cfiRJkqRMNG5c8JHIdddBq1bh9iNtLgNCSdJf/Por9OgRnF78d82awe23h9+TJEmSlGl++AHOPTdxrXVruPzycPuRtoQBoSRpg3gczjoLFiwoXKtYER57DKpUCb8vSZIkKZOsWxfsO7hsWeFazZowZgxkZ4felrTZDAglSRsMHw4TJyau3XorNG8ebj+SJElSJrrxRnjvvcS1hx+G3Nxw+5G2lAGhJAmAb7+FCy9MXOvQAS64INR2JEmSpIz0zjtwww2Ja2ecASefHG4/UkkwIJQksWYNdO0KK1YUrm27LeTlQZb/YkiSJCnifv89WFpcUFC41qQJ3Htv+D1JJcEf9yRJXHMNfPJJ4trIkbD99uH2I0mSJGWaeDw4lOQ//ylcy8mB8eOhWrXw+5JKggGhJEXclClw222Ja+efD8ceG24/kiRJUiYaOzY4tC+R66+Hli3D7UcqSQaEkhRhv/4Kp5+euLbHHpsODiVJkqQomTMnePM8kdat4bLLwu1HKmkGhJIUUfE49OkDCxYUrlWqFCyRqFIl/L4kSZKkTLJ2bbDv4LJlhWu1asGYMZCdHX5fUkkyIJSkiHrkEXj22cS1W2+F5s1DbUeSJEnKSDfcAO+/n7j28MOQmxtuP1I6GBBKUgTNnAkXXpi4dtRRcMEFobYjSZIkZaS33oKbbkpc690b/vGPcPuR0sWAUJIiZvVq6NoVVq4sXNt2W8jLg1gs9LYkSZKkjLJkCXTvDgUFhWu77AJ33x12R1L6GBBKUsRccw18+mniWl4e1K0bajuSJElSxonH4dxzYe7cwrWcnGC/7mrVwu9LShcDQkmKkNdeg9tvT1z75z/h6KPD7UeSJEnKRGPGwOOPJ67deCPsv3+4/UjpFovH4/HSbkIqb/Lz88n930618+bNo0GDBqXckQSLFgUHjyxcWLi2557w4YdQuXL4fUmSJEmZ5PvvoUULWL68cK1tW5g8GbKcbqVyxi9pSYqAeDzYRDlROFipEjz2mOGgJEmStHYtdOuWOBysVQtGjzYcVPnkl7UkRcCwYfD884lrt90WzCCUJEmSou766+GDDxLXhg8HF4epvDIglKRy7ptv4KKLEteOPhr69Qu3H0mSJCkTvfkmDB6cuNanD5x0Urj9SGEyIJSkcmz1ajjtNFi5snBtu+3g0UchFgu/L0mSJCmTLF4M3btDQUHh2q67wt13h96SFCoDQkkqx666Cj7/PHEtLy8ICSVJkqQoi8fhnHNg3rzCtQoVYPx4qFo1/L6kMBkQSlI59eqrcOediWsXXAAdO4bbjyRJkpSJRo2CJ59MXLvxRthvv3D7kUpDLB6Px0u7Cam8yc/PJzc3F4B58+bRwJ1sFbJffoHmzeGnnwrX9toLpk/31GJJkiRp9mxo0QL++KNw7fDD4bXXPLVY0eCXuSSVM/E49O6dOBysVClYImE4KEmSpKhbuxa6dk0cDm6zDYwebTio6PBLXZLKmYceghdeSFy7/XbYc89w+5EkSZIy0aBB8OGHiWvDh8MOO4TajlSqDAglqRz5+mu46KLEtWOOgfPPD7cfSZIkKRNNmwY335y4dvbZ0KlTuP1Ipc2AUJLKiVWrgiUSq1YVrtWtCyNHQiwWfl+SJElSJlm8GLp3D7bm+bvddtv0QX9SeWZAKEnlxJVXwuefJ67l5cF224XajiRJkpRx4nHo2xfy8wvXKlSAxx6DqlXD70sqbQaEklQOvPIK3H134tqFF8JRR4XZjSRJkpSZ8vLgqacS1wYPhn32CbUdKWPE4vFEk2olbYn8/Hxyc3MBmDdvHg0aNCjljlSe/fwzNG8O//1v4Vrz5vDBB55aLEmSJM2aFQSAiU4tPuII+Pe/PbVY0eWXviSVYfE49O6dOBysXDlYImE4KEmSpKhbuxa6dUscDtauDaNGGQ4q2vzyl6QybOhQmDQpce2OO6BZs3D7kSRJkjLRtdfChx8mro0YAfXrh9uPlGkMCCWpjPrqK7jkksS1446Dc88Ntx9JkiQpE73xBtxyS+Ja375wwgmhtiNlJANCSSqDVq2C004Lfv277bcP3gWNxcLvS5IkScokv/0G3bsHW/P8XdOmcOed4fckZSIDQkkqg664AmbMSFwbNQq23TbcfiRJkqRME4/D2WfD/PmFaxUqwPjxsNVW4fclZSIDQkkqY155Be65J3HtX/+CI48Mtx9JkiQpE40cCc88k7h2883BicaSArF4PNFEW0lbIj8/n9zcXADmzZtHgwYNSrkjlRc//wzNmyc+tXjvveGDD6BSpfD7kiRJkjLJd98FAeCKFYVr7dsHb7p7arH0//nXQZLKiHgczjgjcThYuXKwRMJwUJIkSVG3Zg107Zo4HKxdG/LyDAelv/OvhCSVEQ88AC+9lLh2553QrFm4/UiSJEmZaOBA+PjjxLWRI6F+/XD7kcoCA0JJKgO+/BIuuSRx7fjj4Zxzwu1HkiRJykRTp8KQIYlr554bfO8sqTADQknKcCtXwmmnwerVhWv16sGIERCLhd+XJEmSlEl+/RV69Ai25vm73XeH228PvyeprDAglKQMd/nlwQzCREaNgjp1wu1HkiRJyjTxOJx9NsyfX7hWsSI89hhstVX4fUllhQGhJGWwl16C++5LXLv44uAENkmSJCnqRoyACRMS1265BfbeO9x+pLImFo8nmnwraUvk5+eTm5sLwLx582jQoEEpd6Sy6L//hebN4eefC9datID33/fUYkmSJOnbb2HffROfWnzkkfDyy55aLKXiXxFJykDxOJxxRuJwsEqV/8fencdZPfZ/HH+dmvakkmwzaNFiydKGsoTsWwitishOtBCpbmspImtKabVzo25LZC+SLRRtNEOWSNprmvP740u/dL7NaZn5zpmZ1/Px6PEb53OdOe/uX00zn3Nd1yc4ImFzUJIkScXd2rXQrl14c7BaNRg1yuagtCX8ayJJKWjo0OCdzjD33gv16kWbR5IkSUpFffrAjBnhtZEjg6F+kpKzQShJKWbmTOjZM7x2xhnB5cuSJElScffmmzBwYHjt8svh1FOjzSMVZjYIJSmFrFoFbdrAmjWJtd12g+HDIRaLPpckSZKUSn7/HTp2DK/tuy8MGhRtHqmws0EoSSmkZ0/4+uvw2ujRwT0qkiRJUnEWj0OXLvDTT4m10qWD+7rLlYs+l1SY2SCUpBQxcSI88EB4rXt3OO64aPNIkiRJqeixx+DFF8NrAwZAgwaRxpGKhFg8Ho8XdAipqMnKyiIjIwOAzMxM0tPTCziRUt3PPwffyPz2W2Lt4INh2rTg3VBJkiSpOJs9Gw45JLiaZ1MnnACTJjm1WNoW/rWRpAKWkwOdO4c3B8uVg/HjbQ5KkiRJa9ZA27bhzcGdd4ZRo2wOStvKvzqSVMCGDoVXXw2vDRkC9epFGkeSJElKSTffDJ99Fl4bORJ23TXaPFJRYoNQkgrQF18Eg0nCtGoFF18cbR5JkiQpFU2evPnJxFdeCaecEm0eqaixQShJBWTVquCIxNq1ibU99gguX47Fos8lSZIkpZLFi6Fjx/Da/vvDwIHR5pGKIhuEklRAuneHb75JfDwWg9GjYaedos8kSZIkpZJ4HLp0gUWLEmtlygT3dZcrF30uqaixQShJBeDll+Ghh8JrPXrAMcdEm0eSJElKRcOGwX//G14bOBAOOCDaPFJRFYvH4/GCDiEVNVlZWWRkZACQmZlJenp6ASdSKlm0CBo0CI5KbKphQ/jwQ6cWS5IkSbNmBd8fh00tPukkmDjRK3mkvOIOQkmKUE4OdOoU3hwsXx7GjbM5KEmSJK1ZE9zXHdYcrF49mFpsc1DKOzYIJSlC990Hr7+++VrdutHmkSRJklJR797w+efhtZEjYZddIo0jFXk2CCUpIp9/DjfcEF476yy46KJI40iSJEkp6fXX4Z57wmtXXQUnnxxtHqk4sEEoSRFYuTI4IrF2bWJtjz3gscc8IiFJkiT99htccEF4bf/9g8EkkvKeDUJJikD37sEly5uKxWDMGKhaNfpMkiRJUiqJx4NTNT//nFgrUwYmTICyZaPPJRUHNgglKZ+99BI8/HB4rWdPaNEi2jySJElSKnrkEXj55fDa3XcHOwgl5Y9YPB6PF3QIqajJysoiIyMDgMzMTNLT0ws4kQrKokXQoEH41OKGDeHDD51aLEmSJH3zTfD98erVibWTT4ZXXvFKHik/uYNQkvJJTk5wf0pYc7B8eRg/3uagJEmStGZNcF93WHNwl12CqcU2B6X8ZYNQkvLJkCHwxhvhtfvvhzp1Io0jSZIkpaQbb4QvvgivjRoF1atHGkcqlmwQSlI++OwzuOGG8No558CFF0abR5IkSUpFr78O994bXrvmGjjxxGjzSMWVDUJJymMrVwZHJNatS6ylp8OwYR6RkCRJkn77LbiSJ0yDBnDXXdHmkYozG4SSlMeuuw5mz058PBaDsWOhSpXoM0mSJEmpJB4PTtX8/HNirWzZ4L7usmWjzyUVVzYIJSkPvfgiPPpoeO2GG+CooyKNI0mSJKWkhx8OJhOHGTQI9tsv2jxScReLx+Pxgg4hFTVZWVlkZGQAkJmZSXp6egEnUhR++ik4CvH774m1xo3hgw+gVKnoc0mSJEmp5OuvoVGj8KnFp54KL73klTxS1NxBKEl5ICcHOnYMbw5WqBAckbA5KEmSpOJu9ergvu6w5uAuu8CIETYHpYJgg1CS8sA998Cbb4bXhg6F2rWjzSNJkiSlohtugC+/DK898QRUrx5tHkkBG4SStJ0+/RR69w6vtW4NnTpFGkeSJElKSa++CvfdF1679lo44YRI40jaiA1CSdoOK1YERyTWrUusZWQEA0s8IiFJkqTi7tdfN//GeYMGcOedkcaRtAkbhJK0Ha67Dr79NvHxWAzGjIEqVaLPJEmSJKWSeBw6d4ZffkmslS0LEyYE/1dSwbFBKEnb6IUXYNiw8NqNN8JRR0WbR5IkSUpFDz4IkyaF1wYPhn33jTaPpESxeDweL+gQUlGTlZVFRkYGAJmZmaSnpxdwIuW1H38MjkL88UdirUkTeP99pxZLkiRJX30FjRrBmjWJtdNOg//+1yt5pFTgDkJJ2ko5OdCxY3hzsGJFGDfO5qAkSZK0ejW0aRPeHNx1VxgxwuaglCpsEErSVho0CN56K7z2wANQu3a0eSRJkqRU1KtXsIMwzOjRsPPO0eaRtHk2CCVpK8yYATfdFF4777xgZ6EkSZJU3P3vf3D//eG1666Dli2jzSMpdzYIJWkLrVgBbdtCdnZibc894ZFHPCIhSZIk/fILdOoUXjvoILjjjijTSNoSNgglaQtdey18913i4yVKwNixULly1IkkSZKk1BKPw4UXwq+/JtbKlYPx46FMmehzScqdDUJJ2gLPPQfDh4fXeveGI46INo8kSZKUih54ACZNCq/dcw/Urx9tHklbJhaPx+MFHUIqarKyssjIyAAgMzOT9PT0Ak6k7ZGVBQ0awJIlibWmTeG995xaLEmSJM2cCY0bh08tPuMMeOEFr+SRUpU7CCUpF+vXB4NHwpqDFSvCuHE2ByVJkqRVq6BNm/Dm4G67BadxbA5KqcsGoSTlYtAgmDIlvPbgg1CrVrR5JEmSpFTUsyd8/XV47YknoFq1aPNI2jo2CCVpMz75BG6+Obx2/vnQoUO0eSRJkqRUNHFicPdgmOuvh5Yto80jaevZIJSkEMuXQ9u2kJ2dWNtrL3j4YY9ISJIkST//DJ07h9cOOghuvz3SOJK2kQ1CSQpx7bUwZ07i4yVKwNixULly1IkkSZKk1JKTEzQHf/stsVauHEyYAGXKRJ9L0tazQShJm3juORgxIrx2003QvHm0eSRJkqRUNHQovPpqeO3ee6FevWjzSNp2sXg8Hi/oEFJRk5WVRUZGBgCZmZmkp6cXcCJtqcxMOPDA8KnFhx4K770HaWnR55IkSZJSyZdfQuPGsHZtYu3MM+H5572SRypM3EEoSX9bvz4YPBLWHNxhBxg3zuagJEmStGoVtGkT3hzcfXcYPtzmoFTY2CCUpL8NHAjvvBNee+ghqFkz2jySJElSKurRA775JvHxWAxGj4addoo+k6TtY4NQkoDp0+GWW8JrbdtC+/bR5pEkSZJS0SuvwIMPhte6d4djj402j6S8YYNQUrG3fHnQBMzOTqztvXewe1CSJEkq7n7+OZhaHOaQQ+C226LNIynv2CCUVOxdfTXMnZv4eIkSMHYs7Lhj9JkkSZKkVJKTA506weLFibXy5WH8eChdOvJYkvKIDUJJxdozz8DIkeG1Pn2gWbNo80iSJEmp6P774bXXwmtDhkDdupHGkZTHbBBKKrYWLoRLLgmvHX443HxztHkkSZKkVPT559CrV3itVSvo0iXSOJLygQ1CScXS+vXQoQP8+WdirVKl4GhxWlrksSRJkqSUsnJlcF/32rWJtT32gMceC6YXSyrcbBBKKpYGDIB33w2vPfQQ1KgRbR5JkiQpFXXvDrNmJT4ei8Ho0bDTTtFnkpT3bBBKKnY+/hj69g2vtWsX/JIkSZKKu5degocfDq/16AHHHBNtHkn5xwahpGJl2bLgiER2dmJt773hwQcjjyRJkiSlnEWL4KKLwmsNG8Ktt0abR1L+skEoqVi5+mqYNy/x8ZIlYdw42HHH6DNJkiRJqSQnBy64ABYvTqyVLx9831y6dPS5JOUfG4QqEAsXLqR79+7Ur1+fChUqULVqVZo0acKgQYNYuXLldn3ufv36EYvFtujX22+/nTe/IRUKTz0Fo0aF1/r0CSYXS5IkScXdkCHwxhvhtfvug7p1I40jKQLO6FTkJk6cSLt27Vi6dOmGx1auXMn06dOZPn06w4cPZ9KkSdSsWbMAU6qo+eEH6No1vNasGdx0U7R5JEmSpFT0+edw443htbPP3vyxY0mFmw1CReqLL77g3HPPZeXKlVSsWJEbb7yRFi1asGrVKp588kkee+wxvv32W0455RSmT59OxYoVt+v1Zs6cmWu9hqNqi4X166FDB9ioJ71BpUowdiyk+dVQkiRJxdzKldCmDaxdm1hLT4dhw4LpxZKKHn8kVqSuvfZaVq5cSVpaGq+//jqHHXbYhtoxxxzDPvvsQ8+ePZk9ezb33HMPt9xyy3a93v7777+9kVUE3HknvPdeeO2RR4LhJJIkSVJxd/31MHt24uOxGIwZA1WrRp9JUjS8g1CRmT59+oY7/y666KJ/NQf/cf3111O/fn0AhgwZwrp166KMqCJo2jTo1y+81qFD8A6pJEmSVNz997/Bm+dhevWCo4+ONI6kiNkgVGRefPHFDR937tw5dE2JEiXo2LEjAEuWLHGIiLbLX39Bu3bBEeNN1awJDzwQfSZJkiQp1fz00+bvFmzUCPr3jzaPpOjZIFRk3vv7jGeFChVo2LDhZtcdddRRGz5+//338z2Xiq6rroL58xMfL1kSxo0L7h+UJEmSirOcHLjgAvj998RahQowfjyULh19LknR8g5CRWbWrFkA1K5dm7RcJkLUq1cv4TnbqmXLlnz66acsW7aMypUrs++++3LiiSfStWtXqlSpss2fNysrK9f6okWLtvlzK288+SSMHh1e69sXDj002jySJElSKrr3Xpg8Obx2//2wzz7R5pFUMGwQKhKrV69m8eLFAKSnp+e6tkqVKlSoUIEVK1aQmZm5Xa87eaN/6X777Tfeeecd3nnnHQYMGMCoUaM444wztunzZmRkbFcu5a8ffoBLLw2vNW8OvXtHm0eSJElKRZ9+CjfeGF475xzYzM1QkoogG4SKxLJlyzZ8XLFixaTr/2kQLl++fJte74ADDuDMM8+kSZMm7L777qxbt45vv/2WcePG8frrr/Pnn39y9tln8/LLL3PSSSdt02soNWVnQ/v2sHRpYm3HHWHs2OCIsSRJklScrVgBbdtC2FzI9HQYNiyYXiypeLBBqEisXr16w8elt+ACizJlygCwatWqrX6ta6+9ln4hY2ubNm1Kx44defTRR7n00ktZv349Xbp0Ye7cuZQrV26rXiPZzsZFixbRpEmTrfqcyht33gmbu7rykUdgr72izSNJkiSlouuug2+/TXw8FgveVN+OG5kkFUI2CBWJsmXLbvh47dq1SdevWbMGYKsbdwCVK1fOtd61a1c++eQThg8fzk8//cTzzz9Pu3bttuo1kh2TVsGYOnXzE9Y6doTzz482jyRJkpSKXngh2CEY5oYbYKO5kZKKCacYKxI77LDDho+35NjwihUrgC07jrwtunbtuuHjd955J19eQ9H66y9o1w7Wr0+s1awJDzwQfSZJkiQp1fz4I3TpEl5r3Hjzb7hLKtpsECoSZcuWpVq1akDyCcBLlizZ0CDMr2Eg++6774aPf/zxx3x5DUXryithwYLEx0uWhPHjYaMetSRJklQs5eTABRfAH38k1ipUCL5vLlUq+lySCp4NQkWmfv36AMydO5fs7OzNrps9e3bCc/JaPB7Pl8+rgjF+PIwZE17r1w+aNo00jiRJkpSSBg+GN98Mrw0dCrVrR5tHUuqwQajING/eHAiOD8+YMWOz6zY+8tusWbN8yfLNN99s+Hj33XfPl9dQNBYsgMsuC68dcQTceGO0eSRJkqRU9OmncNNN4bVzz4VOnSKNIynF2CBUZM4888wNH48cOTJ0TU5ODqNHjwaCYSMtWrTIlyyPPvroho+P8gbeQis7G9q3D+4f3FTlysH0tZIlI48lSZIkpZQVK6BNG1i3LrGWkQGPPBJML5ZUfNkgVGSaNGnCEUccAcCIESOYOnVqwprBgwcza9YsAK655hpKbXIBxqhRo4jFYsRiMfr165fw/JkzZzJ37txcczz66KOMGDECgF133ZVWrVpty29HKeD22+HDD8Nrjz4Ke+4ZbR5JkiQpFXXrBt99l/h4iRLBm+pVqkSfSVJqSSvoACpe7rvvPpo1a8aqVas4/vjj6d27Ny1atGDVqlU8+eSTDBs2DIA6depw/fXXb/XnnzFjBl26dKFFixacdNJJHHDAAey0005kZ2cze/Zsxo4dyxtvvAFAyZIlefTRR6lQoUKe/h4VjQ8/hP/8J7zWqVNwTEKSJEkq7l54AR57LLx2441w5JHR5pGUmmwQKlIHH3wwTz31FO3bt+evv/6id+/eCWvq1KnDxIkT2WEbx86uX7+eyZMnM3ny5M2u2WmnnRgxYgSnn376Nr2GCtbSpdCuXTCFbVO1asH990efSZIkSUo1P/4IXbqE15o2hb59o80jKXXZIFTkTjvtNL788kvuu+8+Jk6cSFZWFqVLl6Z27dq0bt2aK6+8kvLly2/T5z755JM3HF/+7LPP+OWXX/j999+Jx+NUrVqVAw88kBNPPJFOnTpRqVKlPP6dKSpXXAHff5/4eFpaMNF4G3vLkiRJUpGxfj106AB//JFYq1gRxo2DTW50klSMxeLxeLygQ0hFTVZWFhkZGQBkZmaSnp5ewImKjnHjgsEkYW6/HUI2pUqSJEnFzoABcMMN4bVRo+CCCyKNIynFOaREUqGxYAFcdll47aijoFevaPNIkiRJqeiTT+Dmm8Nr550HHTtGm0dS6rNBKKlQyM4O7h1ctiyxVrkyjBkDJUtGHkuSJElKKcuXQ9u2wffPm9pzT3jkEYjFos8lKbXZIJRUKNx2G0ydGl4bNgz+PtEtSZIkFWvXXgtz5iQ+XqIEjB0bvLkuSZuyQSgp5X3wAdx6a3itc2do3TraPJIkSVIqeu45GDEivNa7NxxxRLR5JBUeNgglpbSlS4OjxTk5ibXateH++6PPJEmSJKWazEy4+OLwWtOmcMst0eaRVLjYIJSUsuLxYCjJDz8k1tLSYPx4qFgx+lySJElSKlm/Phg8smRJYq1iRRg3DkqVij6XpMLDBqGklDV2LEyYEF679VZo3DjaPJIkSVIquvtuePvt8NpDD0GtWpHGkVQI2SCUlJLmz4crrgivHX009OgRaRxJkiQpJU2fDn36hNfatIH27aPNI6lwskEoKeWsWxfcO7hsWWKtShUYMwZKlow+lyRJkpRKli8Pvm/Ozk6s7bUXPPwwxGLR55JU+NgglJRybr0Vpk0Lrz32GKSnR5tHkiRJSkXXXANz5iQ+XqJEcO/gjjtGn0lS4WSDUFJKee89uP328NpFF8HZZ0ebR5IkSUpFzz4Ljz8eXrv5ZmjWLNo8kgo3G4SSUsaffwZ3pOTkJNb22QeGDIk6kSRJkpR6MjPh4ovDa4cdtvk7CSVpc2wQSkoJ8ThcdhksXJhYS0uD8eOhYsXoc0mSJEmpZP364E31P/9MrO2wQ3C0OC0t8liSCjkbhJJSwpgx8OST4bXbboNGjaLNI0mSJKWiAQPg3XfDaw89BDVqRJtHUtFgg1BSgZs3D664IrzWogX06BFtHkmSJCkVffwx9O0bXmvbNthZKEnbwgahpAK1bh20awfLlyfWqlSB0aODKWySJElScbZsWdAEzM5OrO29d7B7UJK2lT92SypQ//kPfPRReG34cEhPjzaPJEmSlIquvjo4ebOpEiVg7FjYccfoM0kqOmwQSiow774Ld9wRXuvSBc46K9o8kiRJUip6+mkYNSq81qcPNGsWaRxJRZANQkkFYsmS4I6UnJzEWp06MGRI5JEkSZKklLNwIVxySXjt8MPh5pujzSOpaLJBKCly8ThceilkZibWSpWC8eOhQoXoc0mSJEmpZP364E31pUsTa5UqBUeL09KizyWp6LFBKClyTzwRHJMIc/vt0LBhtHkkSZKkVHTXXfDee+G1hx+GGjWizSOp6LJBKClSc+fClVeG1449Fq6/Pto8kiRJUir66CPo2ze81r59MNFYkvKKDUJJkVm3LvhGZsWKxFrVqsHOwhJ+VZIkSVIxt2xZ8H3z+vWJtRo14MEHo88kqWjzR3FJkenXD6ZPD6+NGAF77BFpHEmSJCklXXUVzJ+f+HjJkjBuXHD/oCTlJRuEkiLxzjtw553htUsugTPPjDSOJEmSlJKeeio4WRPmllvgsMOizSOpeLBBKCnfLVkS3JMSjyfW6taFe+6JPpMkSZKUan74Abp2Da81awa9e0ebR1LxYYNQUr6Kx4NvcrKyEmulSsGECVChQvS5JEmSpFSSnR28qb50aWKtUiUYOxbS0qLPJal4sEEoKV+NGgXPPBNeu+MOOPjgSONIkiRJKenOO+H998NrjzwCe+8daRxJxYwNQkn5Zs6c4ILlMMcdB9ddF20eSZIkKRVNnQr9+4fXOnSANm2izSOp+LFBKClfrFsH7drBihWJtZ12Ci5eLuFXIEmSJBVzf/0VfN+8fn1irWZNeOCB6DNJKn788VxSvujbF6ZPD6+NGAG77x5tHkmSJCkVXXklLFiQ+HjJkjBuXHD/oCTlNxuEkvLclClw113hta5d4Ywzos0jSZIkpaIJE2DMmPBa375w6KHR5pFUfNkglJSn/vgjuCclHk+s1asH99wTfSZJkiQp1Xz/PVx6aXiteXPo3TvSOJKKORuEkvJMPA6XXAI//phYK10axo+H8uWjzyVJkiSlkuxsaN8+uH9wUzvuCGPHBkeMJSkqNggl5ZnHH4fnnguv3XknHHxwtHkkSZKkVHTHHfDBB+G1Rx+FvfaKNo8k2SCUlCe++w6uvjq8dvzxcO21kcaRJEmSUtLUqfCf/4TXLrgAzjsv2jySBDYIJeWBtWuhbVtYuTKxVq0ajBoFJfxqI0mSpGLur7+gXTtYvz6xVqsWDB0afSZJAhuEkvLALbfAjBnhtREjYLfdos0jSZIkpaIrroAFCxIfL1kSxo2DHXaIPpMkgQ1CSdtpyhQYODC8dtllcPrp0eaRJEmSUtG4ccHwkTD9+0PTptHmkaSN2SCUtM1+/x06dAimF2+qfn0YNCj6TJIkSVKqWbAgePM8zJFHwg03RJtHkjZlg1DSNonH4ZJL4McfE2ulS8OECVC+fPS5JEmSpFSSnR3cO7hsWWKtcmUYMyY4YixJBckGoaRtMmIEPP98eO2uu+DAA6PNI0mSJKWi224LJheHefRR2HPPaPNIUhgbhJK22rffwjXXhNeOP37zNUmSJKk4+eADuPXW8FqnTnDuuZHGkaTNskEoaausXQtt28LKlYm1atVg1Cgo4VcWSZIkFXNLlwZHi3NyEmu1asH990efSZI2xx/jJW2Vm2+GTz8Nr40cCbvtFm0eSZIkKRVdfjn88EPi42lpMH487LBD9JkkaXNsEEraYm++CXffHV67/HI49dRo80iSJEmpaOzYoAkYpn9/aNIk2jySlIwNQklb5PffoWPH8Nq++8KgQdHmkSRJklLR/PnBm+dhjjoKevWKNo8kbQkbhJKSisehSxf46afEWpkyMGEClCsXfS5JkiQplWRnQ/v2sGxZYq1yZRgzBkqWjDyWJCVlg1BSUo89Bi++GF4bMAAaNIg0jiRJkpSSbr0Vpk4Nrz32GGRkRJtHkraUDUJJuZo9G669Nrx24olw9dWRxpEkSZJS0vvvw223hdcuvBDOOSfaPJK0NWwQStqsNWugbVtYtSqxtvPOMGoUxGKRx5IkSZJSyp9/BkeLc3ISa/vsA/fdF3kkSdoqNgglbdbNN8Nnn4XXRo6EXXaJNo8kSZKUauJxuOwy+OGHxFpaGowbBxUrRp9LkraGDUJJoSZP3vxk4iuvhFNOiTaPJEmSlIrGjIEnnwyv3XorNG4cbR5J2hY2CCUlWLwYOnYMr+2/PwwcGG0eSZIkKRXNmwdXXBFeO/po6NEj0jiStM1sEEr6l3gcunSBRYsSa2XKwPjxUK5c9LkkSZKkVLJuHbRrB8uXJ9aqVAl2FpYsGX0uSdoWNggl/cuwYfDf/4bXBg6EAw6INo8kSZKUiv7zH/joo/DaY49Benq0eSRpe9gglLTBrFnQrVt47aST4Kqros0jSZIkpaL33oM77givXXQRnH12tHkkaXvZIJQEwJo10KYNrFqVWKtePZhaHItFn0uSJElKJX/+Ce3bQ05OYm2ffWDIkKgTSdL2s0EoCYDeveGLL8JrI0fCLrtEm0eSJElKNfE4XHopLFyYWEtLC+7rrlgx+lyStL1sEEri9dfhnnvCa1ddBSefHG0eSZIkKRWNHg1PPRVeu+02aNQo2jySlFdi8Xg8XtAhpKImKyuLjIwMADIzM0lP4RuKf/sNGjSAn39OrO2/P0yfDmXLRp9LkiRJSiVz58LBB4dPLT7mGHjjDSjhFhxJhZRfvqRiLB4PLlEOaw6WKQMTJtgclCRJktatg3btwpuDVasGOwttDkoqzPwSJhVjjzwCL78cXhs0KNhBKEmSJBV3/fvDxx+H14YPhz32iDaPJOU1G4RSMfXNN3DddeG1U06BK66INo8kSZKUit59F+64I7x28cXQqlW0eSQpP9gglIqhNWugbVtYvTqxtssu8PjjEItFn0uSJElKJUuWQPv2wdU8m6pbF+69N/pMkpQfbBBKxdCNN8IXX4TXRo2C6tUjjSNJkiSlnHgcLr0UMjMTa6VKwfjxUKFC9LkkKT/YIJSKmddf3/w7nddcAyeeGG0eSZIkKRWNGgVPPx1eu/12OOSQSONIUr6KxeNhm6UlbY+srCwyMjIAyMzMJD09vYATBX77DRo0CJ9a3KABfPSRU4slSZKkOXPg4INhxYrE2rHHBm+6O7VYUlHilzSpmIjH4cILw5uDZcsGRyRsDkqSJKm4W7cO2rULbw5WrQpPPGFzUFLR45c1qZh4+GF45ZXw2qBBsN9+0eaRJEmSUlHfvjB9enhtxAjYY49o80hSFGwQSsXA11/D9deH1049FS6/PNo8kiRJUip6+224667w2iWXwJlnRplGkqJjg1Aq4lavhjZtgv+7qV12Cd4FjcWizyVJkiSlkj/+gA4dgqt5NlW3LtxzT/SZJCkqNgilIu6GG2DmzPDaE09A9erR5pEkSZJSTTwOXbtCVlZirVQpmDABKlSIPpckRcUGoVSEvfoq3HdfeK1bNzjhhGjzSJIkSalo5Eh49tnw2h13BBONJakoi8XjYRuoJW2PrKwsMjIyAMjMzCQ9PT3yDL/+Cg0awC+/JNYOPBA++gjKlIk8liRJkpRS5swJGoBhU4uPOw5ee82pxZKKPr/MSUVQPA6dO4c3B8uWhfHjbQ5KkiRJa9dC27bhzcGddgqu5LE5KKk48EudVAQ9+CBMmhReu+ce2HffaPNIkiRJqahvX/jkk/Da44/D7rtHm0eSCooNQqmI+eor6N49vHb66XDppdHmkSRJklLRlCkwYEB47dJLg++dJam4sEEoFSGrV0ObNrBmTWJt111h+HCIxaLPJUmSJKWSP/6ADh2Cq3k2Vb8+DB4cfSZJKkg2CKUipFevYAdhmNGjYeedo80jSZIkpZp4HC6+GH78MbFWunRwX3f58tHnkqSCZINQKiL+9z+4//7w2nXXQcuW0eaRJEmSUtGIEfD88+G1O++Egw6KNI4kpYRYPB62qVrS9sjKyiIjIwOAzMxM0tPT8/X1fvkFGjSAX39NrB10EEyb5tRiSZIk6dtv4ZBDYOXKxNrxxwdvuju1WFJx5Jc+qZCLx6Fz5/DmYLlywREJm4OSJEkq7tauhXbtwpuD1arBqFE2ByUVX375kwq5oUODdzrD3HNPcMmyJEmSVNz16QMzZoTXRoyA3XaLNo8kpRIbhFIhNnMm9OwZXjvjDOjaNdo8kiRJUip66y24++7w2mWXwemnR5tHklKNDUKpkFq1Ctq0gTVrEmu77QbDh0MsFn0uSZIkKZX8/jt06BBczbOp+vVh0KDoM0lSqrFBKBVSPXvC11+H10aPDu5RkSRJkoqzeBwuvhh++imxVro0TJgA5ctHn0uSUo0NQqkQmjgRHnggvNa9Oxx3XLR5JEmSpFQ0fDi88EJ47a674MADo80jSakqFo+HbbSWtD2ysrLIyMgAIDMzk/T09Dz73D//DA0awG+/JdYOPhimTQveDZUkSZKKs2+/hUMOCZ9afMIJMGmSU4sl6R9+OZQKkZwc6Nw5vDlYrhyMH29zUJIkSVq7Ftq2DW8O7rwzjBplc1CSNuaXRKkQGToUXn01vDZkCNSrF2kcSZIkKSXdfDN8+ml47fHHYdddo80jSanOBqFUSHz5ZTCYJEyrVsHly5IkSVJxN3ky3H13eO2KK+DUU6PNI0mFgQ1CqRBYtQratAmOSmxq993hsccgFos+lyRJkpRKFi+Gjh3Da/vtt/nGoSQVdzYIpUKgRw/45pvEx2MxGD0adtop+kySJElSKonHoUsXWLQosVamTHBfd7ly0eeSpMLABqGU4l55BR58MLzWvTsce2y0eSRJkqRUNGwY/Pe/4bUBA6BBg2jzSFJhEovH4/GCDiEVNVlZWWRkZACQmZlJenr6Nn2eRYuCb2QWL06sHXIITJ3q1GJJkiRp1ixo2DC4mmdTJ54IkyZ5JY8k5cYdhFKKysmBTp3Cm4PlywdHJGwOSpIkqbhbswbatg1vDu68M4waZXNQkpKxQSilqPvug9dfD68NGQJ160YaR5IkSUpJN90En38eXhs5EnbZJdI4klQo2SCUUtDnn8MNN4TXWrUKLl+WJEmSirs33oDBg8NrV14Jp5wSbR5JKqxsEEopZuXK4IjE2rWJtT32gMce84iEJEmStHgxXHBBeG3//WHgwGjzSFJhZoNQSjHduweXLG8qFoPRo2GnnaLPJEmSJKWSeBwuuigY6repMmWC+7rLlYs+lyQVVjYIpRTy0kvw8MPhtZ494Zhjos0jSZIkpaJHHw2+dw5z991wwAHR5pGkwi4Wj8fjBR1CKmqysrLIyMgAIDMzk/T09KTPWbQIGjQIn1rcsCF8+KFTiyVJkqRZs4Lvj8OmFp98MrzyilfySNLWcgehlAJycoL7U8Kag+XLB0ckbA5KkiSpuFuzBtq0CW8OVq8eTC22OShJW88GoZQChgwJJrCFuf9+qFMn0jiSJElSSurdG774Irw2alTQJJQkbT0bhFIB+/xzuPHG8NrZZ8OFF0YaR5IkSUpJr78O99wTXrv6ajjppGjzSFJRYoNQKkArVwZHJNauTaylp8OwYR6RkCRJkn77LbiSJ8wBB8CAAdHmkaSixgahVICuvx5mz058PBaDMWOgatXoM0mSJEmpJB4PTtX8/HNirUyZ4L7usmWjzyVJRYkNQqmA/Pe/8Mgj4bVeveDooyONI0mSJKWkhx8OJhOHGTQI9t8/2jySVBTF4vF4vKBDSEVNVlYWGRkZAGRmZpKenv6v+k8/QYMG8Pvvic9t1Ag++MCpxZIkSdLXXwffH69enVg75RR4+WWv5JGkvOAOQiliOTnQsWN4c7BCheCIhM1BSZIkFXerV0PbtuHNwV12gccftzkoSXnFBqEUsXvugTffDK/dfz/ss0+0eSRJkqRUdOON8OWX4bVRo6B69UjjSFKRZoNQitCnn0Lv3uG1c86Bzp2jzSNJkiSloldfhSFDwmvXXAMnnhhpHEkq8mwQShFZsSI4IrFuXWItIwOGDfOIhCRJkvTrr9CpU3itQQO4665I40hSsWCDUIrIddfBt98mPh6LwZgxUKVK9JkkSZKkVBKPw0UXwS+/JNbKlg3u6y5bNvpcklTU2SBUgVi4cCHdu3enfv36VKhQgapVq9KkSRMGDRrEypUr8+x1nnzySU444QR22203ypYty957702HDh2YNm1anr3GlnjhhWCHYJgbb4Sjjoo0jiRJkpSSHnoIXnklvDZ4MOy3X7R5JKm4iMXj8XhBh1DxMnHiRNq1a8fSpUtD63Xr1mXSpEnUrFlzm19j9erVtG7dmlc2891FiRIl6NevH3369Nnm18hNVlYWGRkZAHz8cSYnnpjOH38krmvSBN5/H0qVypcYkiRJUqHx9dfQqFH41OLTToP//tcreSQpv7iDUJH64osvOPfcc1m6dCkVK1bk9ttv58MPP+TNN9/k4osvBuDbb7/llFNOYfny5dv8OhdddNGG5mCLFi148cUX+fjjjxkxYgS1atUiJyeHW265heHDh+fJ7ys33boR2hysWBHGjbM5KEmSJK1eDW3ahDcHd90VRoywOShJ+ckdhIpUixYtePvtt0lLS+Pdd9/lsMMO+1f97rvvpmfPngD079+fW265Zatf45133uHoo48G4LTTTuOFF16gZMmSG+qLFy+mYcOGLFy4kCpVqjB//nwqV668zb+nMBvvIIRMID1hzciRm798WZIkSSpOrr0W7rsvvPbaa3D88ZHGkaRixx2Eisz06dN5++23gWCH36bNQYDrr7+e+vXrAzBkyBDWhY38TWLgwIEAlCxZkoceeuhfzUGAatWqMWDAAACWLFnCiBEjtvo1tte558IFF0T+spIkSVLK+d//Nt8c7NbN5qAkRcEGoSLz4osvbvi4c+fOoWtKlChBx44dgaB5909DcUstX76cN998E4CWLVuSnp64cw/grLPOolKlSgA8//zzW/UaW2LV5yHjiv+WkQGPPOIRCUmSJOmXXzZ/qubAA+HOOyONI0nFlg1CRea9994DoEKFCjRs2HCz647aaKTv+++/v1Wv8fHHH7NmzZqEz7Op0qVLc+ihh254zrbsVNys7GyWt+ny/6/F/1+kUqIEjB0LVark3ctJkiRJhVE8DhdeCL/+mlgrWxbGj4cyZaLPJUnFUVpefaLs7Gx+/vnnvPp0KoK++uorAPbcc89c/6zssMMOGz6eMWMGWVlZW/waH3744YaPq1Wrlutz99hjDyD4s/vee+9Rp06dLX6dRYsWbbb2/V2T2Hv59xv++1maMY7uPENrrrgijZo1YSt+S5IkSVKR9PjjMGlSeK1PH6hUye+bJRVvu+66K2lpeda6y1WeDSn591AGSZIkSZIkSdsqMzNzs1en5TWPGEuSJEmSJEkpJrfTi3ktz/Yp7rrrrmRmZubVp1MR89NPP9G0aVMgGBBy3+bGlP2tSZMmLFq0iL322mur7iHs3r07Tz31FBDcX7jXXnttdu2TTz5Jjx49ALjvvvs466yztvh1wv6SxuOw8oKbqT37dRYBTf5+/GNgt7BP0rgx9OoFf//vIqnoWrRoEU2aBF8VPv74Y3bbLfSrgqRiwq8JKu5uuQVGjgyvjRsHRx4ZbZ6C5tcESRvb+GvCzjvvHNnr5lmDMC0tLbJtjyp8ymx0u3CpUqWS/llZv349ENxHuDV/rnbaaad/fZzbcytUqLDh4z322GOrXmeza795lYWPT2bpldfD6plA0BwMXT19OpxzDpx4Itx+OxxyyBa/vqTCa7fddvPfS0kb+DVBxc2kSZtvDl53HbRtG22eVOPXBEkbi+r+QfCIsSKy8eCR5cuXJ12/YsUKACpWrJhvr/PPa2zL62xWLMaeF7Wk7OvDt/w5r74KDRtC69Ywe3be5JAkSZJSzC+/QOfO4bWDDoI77og0jiRpIzYIFYmyZctSrVo1gKRTiZcsWbKhebe1g282frct2etsfCQ+rwfslCkb2/Dxkr59Ye+9kz/p2Wdhv/3gwgvhhx/yNI8kSZJUkOLxoDn466+JtXLlYPx42OjQkSQpYjYIFZn69esDMHfuXLKzsze7bvZGu+j+ec6W2nfffUM/T26vk5aWRu3atbfqdbbG6lNOgW+/hQcfhF13zX1xTk5w5qJOHbjmmuBtVkmSJKmQGzoU/ve/8Nq998JWftsvScpjNggVmebNmwPB0d4ZM2Zsdt0777yz4eNmzZpt1Ws0btyY0qVLJ3yeTa1du5Zp06YlPCfflC4Nl18O8+bBXXdBlSq5r1+7Fu6/H2rWhJtugiVL8jefJEmSlE9mzoSePcNrZ5wBl1wSbR5JUiIbhIrMmWeeueHjkZu5mTgnJ4fRo0cDULlyZVq0aLFVr7HDDjtw7LHHAjB58uTNHjN+/vnn+euvvwBo1arVVr3GdilfPphcPH8+3HwzbDQoJdTKlcFlLDVrwp13wkb3JkqSJEmpbtUqaNMG1qxJrO22GwwfDrFYYk2SFC0bhIpMkyZNOOKIIwAYMWIEU6dOTVgzePBgZs2aBcA111xDqVKl/lUfNWoUsViMWCxGv379Ql+ne/fuAGRnZ3PFFVdsmIj8j8WLF9OrVy8gaEJ26dJlu35f26RyZbj11mBH4TXXBDsMc/Pnn9C7N9SqBQ88EP4dliRJkpRievSAr78Or40eDX9fUy5JKmA2CBWp++67j3LlypGdnc3xxx/PnXfeybRp05gyZQpdu3al599nD+rUqcP111+/Ta9xzDHHcP755wPw0ksv0bJlS1566SU++eQTRo4cyaGHHsrChQsBuOuuu6iS7LhvftplFxgyBObMCYaTlEjyV/KXX+Cqq6BuXRg1CjZpfkqSJEmp4pVXgmu4w3TvDscdF20eSdLmxeLxeLygQ6h4efnll2nfvv2GI76bqlOnDhMnTgwdHDJq1Cg6d+4MQN++fTe7i3DVqlWcc845TJo0KbReokQJ+vTps9nnb6+srKwNk5EzMzP/NV05V99+C7fcAk8/vWXr69cPdiKedZZnMyRJkpQyfv4ZDjgAFi9OrB18MEyblvwQjSQpOu4gVOROO+00vvzyS7p160adOnUoX748lStXplGjRgwYMIDPPvtsu6cKlytXjokTJzJu3DhatmxJ9erVKV26NBkZGbRt25b3338/35qD26VuXXjqKfj0Uzj55OTrZ82Cc86Bxo3htdfAfr8kSZIKWE4OdOoU3hwsVw7Gj7c5KEmpxh2EUj7Y5h2Em3r//eDuwffe27L1Rx4ZDDXZyunPkiRJUl4ZMgS6dQuvPfqoU4slKRW5g1BKZc2bwzvvwP/+F5zFSObdd4PnnHoqfP55vseTJEmSNvbFF/D3PMAErVrBxRdHm0eStGVsEEqpLhaDE0+ETz4J7iasWzf5cyZODBqKbdrAd9/lf0ZJkiQVe6tWQdu2sHZtYm333eGxx7w2W5JSlQ1CqbAoUQJat4avvoLHH4c990z+nCefhH33Dd6qzczM/4ySJEkqtrp3h2++SXw8FoPRo2GnnaLPJEnaMjYIpcImLQ06dw52Bt5/P1Svnvv69eth+HDYZx+47jr47bdockqSJKnYePlleOih8Fr37nDssdHmkSRtHRuEUmFVpgxcdRXMmwe33w477pj7+jVr4N57oWZNuOUWWLo0mpySJEkq0hYtggsvDK8dcgjcdlu0eSRJW88GoVTYVawYTDpesABuvBHKl899/fLlcOutUKMGDBwIK1dGk1OSJElFTk4OdOoEixcn1sqXh/HjoXTpyGNJkraSDUKpqKhSBe64I9hReOWVUKpU7uuXLAlGzNWuDQ8/HH6btCRJkpSL++6D11/ffG1L5utJkgqeDUKpqNl1Vxg6NLijsFOnYLhJbhYtgssvh/r1YezY4M5CSZIkKYnPP4cbbgivnXUWXHRRpHEkSdvBBqFUVO29N4wcGUw9Pvvs5Ovnz4cOHeDAA+HFFyEez++EkiRJKqRWroS2bcMPoeyxBzz2WDC9WJJUONgglPLYwoULufXWWzf89/7770+TJk0YNGgQKwvivr/69eHZZ2H6dDjhhOTrv/4aWrWCQw+FyZPzP59UBH366afccccdnHTSSWRkZFCmTBkqVqxInTp16NSpE++9915BR5SUAnr27EksFtvw6+233y7oSNIWu/56mDUr8fFYDMaMgapVo89UGC1evJiBAwfSrFkzdt11V8qUKcPuu+9O06ZN6dGjB1OnTi3oiJIisnbtWkaMGMGJJ57IbrvttuFniLp163LhhRcybdq0fH39WDzuNiEpr0ycOJF27dqxdDMTguvWrcukSZOoWbNmxMk28s47wVCTDz/csvXHHBNMST700PzNJRURRx11FO+++27SdR06dGD48OGU9uZ2qVj64osvaNSoEdnZ2RsemzJlCkcffXTBhZK20H//C2eeGV7r1QvuuivSOIXWM888w2WXXcbvv/++2TVnnHEGL774YnShJBWIzMxMTjnlFGbOnJnrum7dujF48GBi+bBF2wahlEe++OILDj/8cFauXEn58uU37BZ88sknefPNN3nssccAqFevHtOnT6dixYoFFzYeh0mT4Kab4Isvtuw5p58Ot90GBxyQv9mkQq527drMmzeP3XffndatW3PEEUew5557sn79eqZOncrgwYP58ccfAWjTpg3jx48v4MSSopaTk8Ohhx7K9OnTqV69Or/++itgg1CFw08/QYMGENbTatgweA/a976SGz16NJ07dyYnJ4fq1atz2WWX0bx5c6pWrcrPP//MvHnzePnll9lxxx155plnCjqupHyUnZ3NIYccsqE52KBBA6677jrq1q3LsmXLeP/99xk8eDArVqwAYODAgfTo0SPPc9gglPJIixYtePvtt0lLS+PZZ5/lzL/fVs3MzCQ9PZ27776bnj17AtC/f39uueWWAkz7t5wceOYZ6NMH5sxJvj4WCy6b6d8fatXK/3xSIXTqqafSsWNHzj77bEqWLJlQX7x4Mc2aNeO7774D4N133+WII46IOqakAjRkyBC6detGvXr1aNWqFXfeeSdgg1CpLycnuLEm7Baa8uXhs8+gTp3ocxU2s2bN4uCDD2bNmjUcccQRGxqBYdauXetpA6mIe+655zjnnHMAOOyww3jvvfcSfo6YMWMGhx12GOvWraNKlSr8+uuvpKWl5WkO7yCU8sD06dM33Bt00UUX0bBhw4Q1119/PfXr1weCHwzWrVsXZcRwJUrAeecF9w4+9hikp+e+Ph6HceOgXj249FL4exeUpP/3yiuvcO6554Y2BwGqVavG4MGDN/z3s88+G1U0SSkgMzOTPn36APDwww/7g78KlXvv3fwV1fffb3NwS1111VWsWbOGatWq8fzzz2+2OQj4NUIqBj744IMNH994442hP0c0bNiQU089FYAlS5Ywe/bsPM9hg1DKAxvfC9K5c+fQNSVKlKBjx45A8Bc6pS4iL1UKunQJdhHeey9Uq5b7+uxsePRRqF0bevSAxYujySkVERvvEJo3b17BBZEUucsvv5zly5dzwQUXuFtQhcpnn8GNN4bXzj4bLrww2jyF1ezZs3nzzTcBuPLKK6mW7PtuSUXe2o3Gwec2r6DWRqf41qxZk+c5bBBKeeCfiaQVKlQI3T34j6OOOmrDx++//36+59pqZcvCtdfC/Pnwn/9ApUq5r1+9GgYNgpo1g2PHf/0VSUypsNv4m4ASJfynWCounn76aV555RWqVq3K3XffXdBxpC22cmVwy0zYAZj0dBg2LLiJRsltfJ9g69atN3y8ZMkS5syZk+vAEklFU52Ntl/Pnz9/s+v+2VgQi8XYZ5998jyHP5VIeWDWrFlAMJwgt3sA6tWrl/CclLTDDsG9hPPnQ8+eQeMwN8uWQb9+QaPwnntg1apIYkqF1TvvvLPh442/Lkgquv7880+uueYaAAYMGMDOO+9cwImkLXfddRB2mi0WgzFjoGrV6DMVVtOmTQNgxx13pH79+owbN44DDzyQqlWrUqdOHapVq0bNmjXp378/y5cvL+C0kqLQpk0bKv29OWfAgAGsX78+Yc1nn33GxIkTATj//PM3rM9LNgil7bR69WoW/33ENj3JHX5VqlShQoUKQHAHUcrbaScYMADmzYPLLoNkl6D+/jtcfz3ss0/wVnIq3LMopZicnBzuuuuuDf997rnnFmAaSVHp2bMnP//8M4cffjgXXXRRQceRttiLLwY3y4Tp1Qs8Kb91vvnmGwD23ntvrrrqKtq3b8+XX375rzULFiygX79+HHbYYfz0008FEVNShHbeeWdGjRpFuXLl+OCDD2jcuDGjR49m2rRpTJ48mf79+3PUUUexdu1aDjroIO655558yWGDUNpOy5Yt2/BxxYoVk67/p0FYqN4R3H13eOgh+PZb6NAh+RmSH3+Erl1h331hwoRg5J0kAO69914+/vhjAFq1akWjRo0KOJGk/Pb+++8zfPhw0tLSeOSRR4h5FlOFxE8/BddUh2ncOLiRRlvnjz/+AIK7CB988EEqV67MI488wq+//srq1auZPn06J510EgBfffUVrVu3JsfvpaUir1WrVnzyySdcdNFFfP7551xwwQUcdthhtGzZkn79+lG+fHnuuece3n//fXbdddd8yWCDUNpOq1ev3vDxlkwZK1OmDACrCuMx3Jo1YfRo+PJLOPPM5Ovnzg0urDn4YHj55WAKslSMvfPOO9xwww0AVK9enYcffriAE0nKb2vXruWSSy4hHo/TrVs3DjjggIKOJG2RnBzo2DE4ILKpChVg/Phgzp22zooVK4BgwEDJkiX53//+R9euXdl5550pU6YMjRo14pVXXtnQJPzwww95/vnnCzKypAisW7eO8ePH8/LLLxMP+bn5l19+YcKECfk67NQGobSdym50P9/Ggwc2559pQ+XKlcu3TPlu//3hhRfgo4/guOOSr//ySzj9dDj8cJgyJf/zSSno66+/plWrVmRnZ1OmTBmefvppdtlll4KOJSmf3XHHHcyaNYs999yTvn37FnQcaYvdcw/8PWw3wdChULt2tHmKio1/dmjdujWHHnpowpoSJUr8a5DRhAkTIskmqWCsWLGC4447jttvv53ff/+dnj17MmvWLNasWcPSpUt5/fXXad68OdOnT+e0007jvvvuy5ccNgil7bTDDjts+HhLjg3/867hlhxHTnlNmsAbbwTfPTZtmnz9tGlwzDFw/PEwfXr+55NSxIIFCzj++ONZsmQJJUuWZMKECf+aai6paJo9ezZ33nknAEOHDt1wzYiU6j79FHr3Dq+1bg2dOkUap0jZ+GeHf3YJhtlvv/3YY489AJju981Skda3b1/effddAEaMGMGAAQOoV68epUuXplKlSrRs2ZIpU6bQokUL4vE41113XcLdpXkhycQBScmULVuWatWqsXjxYrKysnJdu2TJkg0NwoyMjCjiReOYY2Dq1OAY8U03wVdf5b7+jTeCX61awW23BXcVSkXUTz/9xHHHHcdPP/1ELBbj8ccfp1WrVgUdS1IE7r33XtauXUvNmjVZuXIlTz75ZMKarzb6N/Ott97i559/BuC0006zoagCsWIFtGkTPmsuIyMYWOI1mtsuIyNjw9/zZAMOMzIy+PHHH/n111+jiCapAMTjcUaOHAlAnTp1uOCCC0LXpaWlceutt9K8eXNycnIYOXIk9957b55msUEo5YH69evz3nvvMXfuXLKzsze7bvbs2f96TpESiwXHiE85BZ56Cm65JZh+nJsXXghG43XoAP36QY0aUSSVIrN48WJatmzJ/PnzgWAHUceOHQs4laSo/HOtyPz582nTpk3S9bfeeuuGjxcsWGCDUAWiWzf47rvEx2MxGDMGqlSJPlNRst9++23YEbh+/fpc1/5TT0vzx3apqPrll182DC86+OCDc13bsGHDDR9v3FvIKx4xlvJA8+bNgeD48IwZMza77p133tnwcbNmzfI9V4EoWTIYTDJrFjzySDABOTfxeDD4pG5duOIKWLQompxSPlu6dCknnHAC33zzDQB33XUXV1xxRQGnkiRp8154AR57LLx2443g7Rjb78gjj9zw8bwkb6b/8wbjP0eNJRU9G78BkNtmIwgGmYQ9L6/YIJTywJkbTfT9Z3vwpnJychg9ejQAlStXpkWLFlFEKzilSkHXrsEk47vvhqpVc1+/bh089BDUqgW9esHf76JIhdHKlSs55ZRT+PTTTwG46aab6NWrVwGnkhS1UaNGEY/Hc/218eCSKVOmbHh87733LrjgKpZ+/BG6dAmvNWkSHPbQ9jv99NMp9ff459ymE7/zzjv8/vcI6SOOOCKSbJKiV7VqVSpVqgTA1KlTc20SbrzhqEY+nL6zQSjlgSZNmmz4h3vEiBGhuwgHDx7MrFmzALjmmms2fGNQ5JUrB927w4IF0LcvJBvOsmoVDBwYHDe+7TbYgsEvUipZu3YtrVq14oMPPgCCv++33XZbAaeSJGnzcnKgY8fw92crVoRx44L3frX9dtppJ7r83Yl94403Qu8mXbZsGddee+2G/+7atWtU8SRFrESJEpxyyilAcHf57bffHrpuyZIl/9pwcOqpp+Z5llg8Ho/n+WeViqHPPvuMZs2asWrVKsqXL8/KlSsBeOqpp3jzzTcZNmwYEFw8+sknn/xrglmxsngx3HUXPPAA/H03U6523jkYfNK1K5Qtm//5pO109tlnb9gRcMwxxzBkyBBiudzmXrp0aerUqRNVPEkppl+/fvTv3x8IdhAeffTRBRtIxdLAgcEBjjAjRzq1OK/99ttvNGrUiIULF5KWlsall17KWWedRaVKlZg5cyYDBgzYcL/YZZddxkMPPVTAiSXlp9mzZ9OwYcMNPYTTTjuNCy64gJo1a7J69WqmTZvGkCFDWLhwIQDHHnsskydPzvMcNgilPPTyyy/Tvn17/vrrr9B6nTp1mDhxIrVr1444WQrKyoJbb4URIyDJBc1AMDavb1+44ALwomalsNyagWH22msvvv/++/wJIynl2SBUQZsxAw49FMJOtZ17Ljz5pFOL88OsWbM4/fTTmTt37mbXXHjhhTzyyCPF5+SRVIxNnjyZNm3asHjx4lzXHXPMMTz77LNUyYeJUR4xlvLQaaedxpdffrnh2ABApUqVaNSoEQMGDOCzzz6zOfiP9HR49FGYPTsYapLsO8/MzOBinP32g6efDs7CSJIkaZutWBF8GxbWHMzICObN2RzMH/Xr1+fzzz/n7rvvpmnTplStWpXSpUuTnp7Oeeedx1tvvcWIESNsDkrFxHHHHcfs2bMZMGAARx99NDvvvDOlSpWiXLly1KhRg3PPPZcXX3yRyZMn50tzENxBKOWLrKwsMjIyAMjMzCQ9Pb2AExUCX34JN98ML7+8ZesPOghuvx1OOsnvXCVJkrbBxRfD8OGJj5coAVOmwEYDdyVJRZw7CCWlhgYN4KWX4MMPYUuOV33+OZxySvCd63vv5Xc6SZKkIuW558KbgwA33mhzUJKKGxuEklLLYYfBW2/BG29A48bJ17//fvAd7Eknwaef5n8+SZKkQi4rK9g9GKZp0+DaZ0lS8WKDUFLqicXguOPgo4/g+edh332TP+fVV6FhQ2jdOrjXUJIkSQnWr4eOHWHJksRaxYowbhx47Z0kFT82CCWlrlgMWrUK7id84gnYe+/kz3n22WCQyYUXwg8/5HtESZKkwmTQoOB+wTAPPgi1akWbR5KUGmwQSkp9JUsGb3V/+23wneuuu+a+PicHRo6EffaBq6+GX36JJqckSVIKmz49mAkX5vzzoUOHaPNIklKHDUJJhUfp0nD55TBvHgwYAMnGu69bB0OHQs2acNNN4WdpJEmSioHly6FdO8jOTqzttRc8/HBweEOSVDzZIJRU+JQvDz17wvz5wdvgFSrkvn7lSrjjjqBReOedsGJFNDklSZJSxDXXwJw5iY+XKAFjx0LlypFHkiSlEBuEkgqvypXh1luDRuG11wY7DHPz55/Qu3dwuc4DD8CaNRGElCRJKljPPguPPx5eu+kmaN482jySpNRjg1BS4Ve9Otx7b/C2+EUXBW+F5+aXX+Cqq6BuXRg1KvysjSRJUhGQmQkXXxxeO/RQuOWWaPNIklKTDUJJRceee8Lw4fDNN3DeecnX//ADdO4MBxwQvLUej+d/RkmSpIisXx8MHvnzz8TaDjvAuHGQlhZ5LElSCrJBKKnoqVsXnnwSPvsMTj45+frZs6F1a2jcGF57zUahJEkqEgYOhHfeCa89+GBwPbMkSWCDUFJRdtBBMHEivPceHHFE8vUzZsCJJ8LRR8MHH+R3OkmSpHwzffrmjw+3aQPt20ebR5KU2mwQSir6mjcP3j7/3//g4IOTr3/33eA5p54Kn3+e7/EkSZLy0vLl0LZt+DXLe+0FDz8MsVj0uSRJqcsGoaTiIRYLdgd+8gk880xwDDmZiRODhuL558N33+V/RkmSpDxw9dUwd27i4yVKBPcO7rhj9JkkSanNBqGk4qVECTjnHPjqKxg5MhhsksxTT8G++wYjADMz8z+jJEnSNnrmmeBbnDA33wzNmkWbR5JUONgglFQ8paVBp07BzsD774fq1XNfv359MCG5dm3o1g1+/TWSmJIkSVtq4UK45JLw2mGHQZ8+0eaRJBUeNgglFW9lysBVV8H8+XDHHVC5cu7r166FIUOgVq3g5u+lS6NIKUmSlKv166FDB/jzz8RapUrB0eK0tMhjSZIKCRuEkgRQoQLceGPQKLzxRihfPvf1y5fDrbdCjRowcCCsXBlNTkmSpBADBgRz1sI89FDwLYskSZtjg1CSNlalSrCTcN48uPJKKFUq9/VLlkCvXsHR44cfDnYYSpIkReijj4KDDWHatQt+SZKUGxuEkhRm111h6NDgjsJOnYLhJrlZtAguvxzq1YMxY4JzPpIkSfls2TJo2zb8W4+994YHH4w8kiSpELJBKEm52XvvYBTgV18F04+TWbAAOnaEAw+EF1+EeDy/E0qSpGLsn6uUN1WyZHDv4I47Rp9JklT42CCUpC1Rvz488wx88gmccELy9V9/Da1aQdOmMHly/ueTJEnFzlNPwRNPhNf69IHDD482jySp8LJBKElbo2FDePVVePvtLfuue/p0aNkSjj0Wpk3L93iSJKl4+OEH6No1vNasGdx0U7R5JEmFmw1CSdoWRx0F778Pr7wSHCdO5q234LDD4IwzYObM/M8nSZKKrPXroUMHWLo0sVapEowdC2lp0eeSJBVeNgglaVvFYnDKKfDpp/Dkk7DPPsmf89JLQUOxXTuYOzf/M0qSpCLnzjvhvffCaw8/HFyhLEnS1rBBKEnbq0QJOO88+OYbGD4c0tNzXx+Pw/jxwb2Gl14KP/4YTU5JklToTZsG/fqF19q3DyYaS5K0tWwQSlJeSUuDiy6COXPg3nuhWrXc12dnw6OPQu3a0L07LF4cTU5JklQo/fVXcAhh/frEWo0a8OCD0WeSJBUNNgglKa+VLQvXXgvz58N//hNcBpSb1ath8GCoWRP69w+++5ckSdrEVVcF315sqmRJGDcu+bcckiRtjg1CScovO+wAffoE38n37Bk0DnOzbFlwZqhmzaBhuGpVJDElSVLqe/JJGD06vNa3bzALTZKkbWWDUJLy2047wYABMG8eXH558rGCv/8eHDneZx8YNgzWrYsmpyRJSkk//BBcWxymeXPo3TvaPJKkoscGoSRFZffdg8uBvv0WOnQIpiDn5scfoWvXYJjJ+PGQkxNNTkmSlDKys4N7B5cuTaztuCOMHRscMZYkaXvYIJSkqNWsGZwRmjkTWrVKvn7evOAng4MOgpdfDqYgS5KkYuGOO+CDD8JrjzwCe+0VbR5JUtFkg1CSCsp++8Hzz8NHH8FxxyVfP3MmnH46HH44TJmS//kkSVKBmjo1mHcWpmNHOP/8aPNIkoouG4SSVNCaNIE33oA334RDD02+fto0OOYYOP54mD49//NJkqTI/fVXcIBg/frEWs2a8MAD0WeSJBVdNgglKVUccwx8+CG89BIccEDy9W+8ETQXzzoLvv46//NJkqTIXHEFLFiQ+HjJksHVxDvsEH0mSVLRZYNQklJJLAannQaffw7jxkGtWsmf88ILQUOxY8fwnyQkSVKhMn58MHwkTL9+0LRppHEkScWADUJJSkUlSkDbtjBrFjz6aDABOTfxOIwZA3XrBlsOFi2KJqckScpTCxbAZZeF1444Am68Mdo8kqTiwQahJKWyUqXgkktg7lwYNAh22in39evWwUMPBTsPe/WCP/6IJqckSdpu2dnQvn1w/+Cmdtwx2FVYsmT0uSRJRZ8NQkkqDMqVg+uvh/nzg7NFyS4eWrUKBg6EGjXgtttg2bJIYkqSpG13++3BdcRhHn0U9twz2jySpOLDBqEkFSaVKkHfvkGj8PrroUyZ3Nf/9Rf06RPsKBwyBFavjiSmJEnaOh9+CP/5T3jtggvgvPOizSNJKl5sEEpSYVStWnDkeO5c6No1+Xmj336Dbt2gTh0YMSI4wyRJklLC0qXQrh3k5CTWatWCoUOjzyRJKl5sEEpSYZaeDo88ArNnB0NNYrHc12dmQpcusN9+8NRT4T+JSJKkSF1xBXz/feLjJUvCuHHJbxaRJGl72SCUpKKgdu3gJ4jPP4fTT0++/rvv4PzzoWFDmDQpmIIsSZIiN25c8CvMf/4DTZtGm0eSVDzZIJSkoqRBA/jvf4OLjI4+Ovn6zz+HU06BI46Ad9/N73SSJGkj8+fDZZeF1446Cnr1ijaPJKn4skEoSUXRYYfBW2/BG29A48bJ13/wQfCTyIknwowZ+Z9PkqRiLjsb2reHZcsSa5Urw5gxya8YliQpr9gglKSiKhaD446Djz6CF16AffdN/pzXXoNGjaB1a5g1K/8zSpJUTN16K0ydGl4bNgwyMqLNI0kq3mwQSlJRF4vBmWfCl1/C6NFQo0by5zz7LOy/P3TuDD/8kO8RJUkqTt5/H267LbzWuXPwPp0kSVGyQShJxUXJktChQzDx+MEHYdddc1+fkwOjRsE++8DVV8Mvv0QSU5KkouzPP4OjxTk5ibXateH++yOPJEmSDUJJKnZKl4bLL4d582DAAKhSJff169bB0KFQsybcdBMsWRJNTkmSiph4PPgnOGxzfloajB8PFStGn0uSJBuEklRclS8PPXvCggXQpw9UqJD7+pUr4Y47gkbhnXfCihXR5JQkqYgYOxYmTAiv/ec/WzZXTJKk/GCDUJKKux13DH4qmT8frr022GGYmz//hN69oVatYGfhmjVRpJQkqVCbPx+uuCK8dtRRwXt2kiQVFBuEkqRA9epw770wZw506RLcWZibX34J7iasWze4qzA7O5KYkiQVNuvWQbt2sGxZYq1KFRgzJvk/u5Ik5ScbhJKkf9tzT3jsMfj6azjvvOTrf/ghGLl4wAHB9ON4PP8zSpJUiNx6K0ybFl4bNgwyMqLNI0nSpmwQSpLC1a0LTz4Jn30Gp5ySfP3s2dC6dXCB0muv2SiUJAl47z24/fbw2oUXwjnnRJtHkqQwNgglSbk76CB45RV4/3048sjk62fMgBNPhKOPhg8+yO90kiSlrD//hPbtIScnsbbPPnDffZFHkiQplA1CSdKWadYM3n4bXn0VDjkk+fp334XmzYPdh59/nt/pJElKKfE4XHYZLFyYWEtLg/HjoWLF6HNJkhTGBqEkacvFYnDCCfDJJ/DMM1CvXvLnTJoEBx8M558P332X/xklSUoBY8YEN3WEue02aNQo2jySJOXGBqEkaevFYsGlSTNnwsiRsNdeyZ/z1FOw775w8cWQmZn/GSVJKiDz5sEVV4TXWrSAHj2izSNJUjI2CCVJ2y4tDTp1gm+/haFDYZddcl+/fj0MHw61a0O3bvDrr5HElCQpKuvWQdu2sHx5Yq1KFRg9Gkr4U5gkKcX4T5MkafuVKQNXXhlsmbjjDqhcOff1a9fCkCFQsyb06QNLl0aRUpKkfNe/P3z8cXht+HBIT482jyRJW8IGoSQp71SoADfeCPPnQ+/eUL587utXrAguYqpRAwYOhJUro8kpSVI+ePfd4H2yMF26wFlnRZtHkqQtZYNQkpT3qlSB228PdhRedRWUKpX7+iVLoFcvqFULHnoo2GEoSVIhsmQJtG8fTC/eVJ06wcZ5SZJSlQ1CSVL+2XVXuP/+YHpx587JL136+efgVvd69YLxj+vXR5NTkqTtEI/DpZeGz+AqVQrGjw822UuSlKpsEEqS8t/ee8Pjj8PXXwfTj5NZsAA6doQDD4QXXwzfjiFJUop44gl4+unw2m23QcOG0eaRJGlr2SCUJEWnXj145hn45BM48cTk67/+Glq1gqZNYfJkG4WSpJQzd24wpyvMMcdA9+7R5pEkaVvYIJQkRa9hQ/jf/+Cdd6BZs+Trp0+Hli3h2GNh2rT8zydJ0hZYtw7atg1mbm2qalUYPTr57RqSJKUC/7mSJBWcI4+E996DiROD48TJTJkChx0GZ5wBM2fmfz5JknLRr1/wHlaY4cNhjz0ijSNJ0jazQShJKlixGJx8Mnz6KTz1VDDqMZmXXgoaiu3aBWe7JEmK2DvvwJ13htcuvji4IUOSpMLCBqEkKTWUKAHnnhvcOzh8OGRk5L4+Hg/GQtavH4yO/PHHaHJKkoq9JUugffvwq3Hr1oV7740+kyRJ28MGoSQptaSlwUUXwXffwZAhsPPOua/PzoZHH4XatYOb4BcvjiSmJKl4iseha1fIykqslSoVvHdVoUL0uSRJ2h42CCVJqalsWbjmGpg3D269FSpVyn396tUweDDUrBlcCvXXX5HElCQVL6NGwTPPhNfuuAMOOSTSOJIk5YlYPB62MV7S9sjKyiLj7+ORmZmZpKenF3AiqQj44w8YMACGDoVVq5Kv32knuPFGuPxyKFcu//NJkoq8OXPg4IPDpxYfdxy89ppTiyVJhZP/fEmSCoeqVYMG4dy5QdMvLS339b//Hhw53mcfGDYM1q2LJqckqUhauxbatg1vDu60EzzxhM1BSVLh5T9hkqTCZffd4cEH4dtvoWPHYApybn78Mbgsqn794GKonJxockqSipS+feGTT8JrI0YE/zxJklRY2SCUJBVONWsG2zVmzoRWrZKvnzcP2rWDgw6Cl18OHz0pSVKIKVOCTexhunaFM86INo8kSXnNBqEkqXDbbz94/nn4+GNo2TL5+pkz4fTT4fDDg5/4JEnKxR9/QIcO4e8r1asH99wTfSZJkvKaDUJJUtHQuDG8/jq89RYcemjy9dOmwTHHBE3Fjz/O/3ySpEInHodLLgluq9hUqVLBzRXly0efS5KkvGaDUJJUtLRoAR9+CC+9BAcckHz95MnQtCmcdRZ8/XX+55MkFRqPPw7PPRdeu/POYKKxJElFgQ1CSVLRE4vBaafB558H2ztq1Ur+nBdeCBqKHTvCggX5HlGSlNq++w6uvjq81rIldOsWbR5JkvKTDUJJUtFVogS0aQOzZsGjj8Iee+S+Ph6HMWOgbl244gpYtCianJKklLJ2LbRtCytXJtZ22glGjQr+iZEkqajwnzVJUtFXqlRwidScOTBoUPDTXW7WrYOHHgp2HvbqBb//Hk1OSVJKuOUWmDEjvPb447D77tHmkSQpv9kglCQVH+XKwfXXw/z50K8f7LBD7utXrYKBA6FmTbjtNli2LJKYkqSCM2VK8KU/zKWXwumnR5tHkqQo2CCUJBU/lSpB375Bo7B7dyhbNvf1f/0FffoEOwqHDIHVqyOJKUmK1u+/Q4cOwY0Tm6pfHwYPjj6TJElRsEEoSSq+qlWDu++GuXOha1dIS8t9/W+/BbfS16kDI0ZAdnY0OSVJ+S4eD26j+PHHxFrp0jBhApQvH30uSZKiYINQkVu5ciV33303TZo0oWrVqlSsWJH69evTvXt3Fi5cuN2f/+233yYWi23Rr379+m3/b0hS4bfHHvDII8Ewk3btginIucnMhC5dYL/94KmnICcnmpySpHwzfDg8/3x47a674MADo80jSVKUbBAqUvPmzeOQQw6hZ8+eTJ8+nSVLlrBixQpmz57N4MGDadCgAZMmTSromJKKq9q1YexY+PzzLbtk6rvv4Pzz4ZBDYOLE8DNpkqSU9+23cO214bXjj4drrok0jiRJkYvF4/40o2gsX76cxo0bM3v2bAAuvvhizj//fMqVK8eUKVO48847Wb58OeXLl2fq1Kk0aNBgm17n7bffpkWLFgA8/vjjNG7ceLNrq1evTvXq1bfpdXKTlZVFRkYGAJmZmaSnp+f5a0iKwLRp0Lt3cGP9lmjWDO64A448Mn9zSZLyzNq1cNhh8OmnibVq1eDLL2G33aLPJUlSlJJctiTlnUGDBm1oDg4cOJAePXpsqB122GG0aNGCI488kpUrV3Lttdfy1ltvbfdr1qhRg/3333+7P4+kYurQQ+Gtt+DNN4NG4ccf577+gw/gqKPghBPg9tuhYcNockqSttnNN4c3BwFGjrQ5KEkqHjxirEisW7eO++67D4D69etz/fXXJ6w57LDDuOiiiwCYMmUKM2bMiDSjJG3WsccGuwlfeCG4dzCZ116DRo2gdevgXkNJUkp6881gVlWYyy+HU0+NNo8kSQXFBqEi8fbbb/Pnn38CcMEFF1CiRPgfvU6dOm34+PnN3RItSQUhFoMzz4QvvoDRo6FGjeTPefZZ2H9/6NwZvv8+vxNKkrbC779Dx47htX33hUGDos0jSVJBskGoSLz33nsbPj7qqKM2u65Ro0ZUqFABgPfffz/fc0nSVitZEjp0gNmz4aGHkp89y8mBUaOgTh24+mr4+edIYkqSNi8eD4bR//RTYq10aZgwAcqViz6XJEkFxQahIjFroyN29erV2+y6tLQ0atWqlfCcbdW7d2/S09MpXbo0VapU4eCDD6Zbt25899132/V5s7Kycv21aNGi7c4uKcWVLg2XXQZz58LAgVC1au7r162DoUOhVq3gPsMlS6LJKUlK8Nhj8OKL4bUBA2AbZ+VJklRoOcVYkTj00EP56KOPqFChAsuXL8917amnnsrEiRMBWL16NWXKlNmq19p4ivHmlChRgj59+tC3b19isdhWfX5gq57jFGOpmFi6FAYPhnvugRUrkq+vXBl69gx2Ff69c1qSlP9mz4ZDDoFVqxJrJ5wAkybBZm7DkSSpyPKfPkVi2bJlAFSsWDHp2gob/aCcrJm4ObvtthtXXHEFEyZM4KOPPmLGjBm88MILXHjhhZQqVYqcnBz69+/PTTfdtE2fX5IS7Lgj/Oc/MH8+dOsGyd7c+PPPYCdhrVrBzsI1ayKJKUnF2Zo10LZteHNw552DGyFsDkqSiiN3ECoStWrVYv78+WRkZLBw4cJc13bs2JExY8YA27b7bsWKFZQuXZpSpUqF1j/++GOOP/54li5dSiwW49NPP+Wggw7aqtfIysrKtb5o0SKaNGkCuINQKrYyM4OG4ciRsH598vV77QX9+kH79pCWlu/xJKk46tFj88NHXn7ZqcWSpOLL98f0L9nZ2cRise3+NWrUqH993rJlywKwdu3apBnWbLSLptw23A5doUKFzTYHAZo0acKDDz4IQDwe3/Dx1khPT8/1127JhhZIKvoyMoJLrr75Bs47L/n6H34Iph0fcEAw/TgnJ/8zSlIxMnny5puDV1xhc1CSVLzZIFQkdthhB2DLjgyv2Ojuri05krwtzjvvPHbccUcA3nnnnXx5DUkCgunFTz4Jn30Gp5ySfP3s2dC6NTRuDK+9FozalCRtl8WLoWPH8Np++8Hdd0ebR5KkVOMZJv1LWlpankwP3nQHXXp6Oh999BErVqzgzz//pHLlypt9bmZmJgA777zzVg8o2VJpaWnUqVOH6dOn8+OPP+bLa0jSvxx0ELzyCnzwQXD34Lvv5r7+00/hxBPhyCPhjjugWbNIYkpSUROPw0UXwaJFibUyZWDCBNiGQyuSJBUpNgiVoF69enn+Offdd1+ee+45AGbPns2hhx4aui47O5t58+YBUL9+/TzPsTGv35RUIJo1g7ffhjfeCBqFM2bkvv7dd6F5czj5ZLj99qDRKEnaYo8+Ci+9FF4bODC42UGSpOLOI8aKRPPmzTd8nNuR3k8++WTDEeNm+bhbJjs7m++++w6A3XffPd9eR5JCxWJw/PEwfXpw3+CWvDEzaRIcfDCcfz78/fVLkpS7WbPguuvCayedBFddFW0eSZJSlQ1CReLoo4/ecOffE088sdndexsPN2nVqlW+5XnyySf566+/ADjqqKPy7XUkKVexGJx9NsycGUw73muv5M956inYd1/o0gWSTIWXpOJszRpo0wZWrUqsVa8efNmNxaLPJUlSKrJBqEiULl2aq6++GoBZs2YxKGSE3NSpUxkxYgQQNO0aN26csOb777/fMCn56KOPTqgvWbKEt99+O9csH3/8MVf9/XZxLBbj0ksv3crfjSTlsbQ06NQJvv0Whg6FXXbJff369TBiBOyzD3TrBr/+GklMSSpMeveGL74Ir40cmfxLrSRJxUks7kVsisiyZcto1KjRhqO9l1xyCeeffz7lypVjypQp3HHHHSxfvpxy5crx4YcfclDIPVvff/89NWrUAIIm4qbNwH/qDRo04Mwzz6Rhw4bstttulCxZkoULF/Lyyy8zZswY1q1bB0CPHj0YOHBgnv9es7KyyMjIAIKhK+np6Xn+GpKKsBUrgkbhgAHw55/J11eoEDQKu3eHv3drS1Jx9vrrcMIJ4bWrroL77482jyRJqc4GoSI1d+5cTj75ZObMmRNar1SpEuPGjePUU08NrW9pgzCZkiVL0qdPH2655RZi+XC2xAahpDyxZAkMGgRDhsDKlcnXV6kCN9wAV14J5cvnezxJSkW//QYNGsDPPyfW9t8/uP61bNnoc0mSlMo8YqxI1a5dm88++4wBAwbQqFEjKleuTPny5albty7dunXjyy+/3GxzcEvsvvvuPPPMM1x33XU0b96cGjVqsMMOO1CqVCmqVatGs2bNuOmmm5g7dy59+/bNl+agJOWZKlWCycXz58PVV0Pp0rmvX7IEevWCWrXgoYdg7dpockpSiojH4aKLwpuDZcrAhAk2ByVJCuMOQikfuINQUr744Qfo3x+eeAJycpKvr1EjWN+2LZQsmf/5JKmAPfwwXH55eO3++51aLEnS5riDUJKkwmKvveDxx+Hrr6F16+TrFyyAjh2Ds3YvvBBsrZGkIuqbb+C668JrJ58c3L4gSZLC2SCUJKmwqVcPnn4aZsyAE09Mvv6bb+Css6BpU5g82UahpCJnzZpgs/Tq1Ym16tWDqcXeLCNJ0ubZIJQkqbA65BD43//gnXegWbPk66dPh5Yt4dhjYdq0/M8nSRG58Ub44ovw2qhRQZNQkiRtng1CSZIKuyOPhPfeg4kT4aCDkq+fMgUOOwzOOAO+/DLf40lSfnr9dbj33vDaNdfASSdFm0eSpMLIBqEkSUVBLBZcsjVjBjz1FNSpk/w5L70UNBTbtYO5c/M9oiTltV9/Da5aDdOgAdx1V7R5JEkqrGwQSpJUlJQoAeeeGwwyGTEC/p6ovlnxOIwfH9xr2LUr/PhjNDklaTvF43DRRfDLL4m1smWDL21ly0afS5KkwsgGoSRJRVFaGlx4IXz3HQwZAjvvnPv69eth2DCoVQu6d4fFiyOJKUnb6qGH4JVXwmuDBsF++0WbR5KkwswGoSRJRVnZssElXPPnw223QaVKua9fswYGD4aaNaFfP/jrr0hiStLW+Prr4L2MMKeeCpdfHm0eSZIKOxuEkiQVBxUrwk03wYIF0KsXlCuX+/ply6B//6BROHgwrFoVTU5JSmL1amjTJvi/m9pll+B2hVgs+lySJBVmNgglSSpOqlYNbu2fNw+uuAJKlcp9/e+/B9t0ateGRx+FdeuiySlJm3HDDTBzZnjtiSegevVo80iSVBTYIJQkqTjabTd44AH49ttgBGiy7TY//QSXXgr16wc3/+fkRJNTkjby6qtw333htWuvhRNOiDSOJElFhg1CSZKKsxo1gi03M2fCWWclXz9vHrRrBwcdBC+9FIwRlaQI/PordOoUXmvQAO68M9I4kiQVKTYIJUlSMO7zuefg44+hZcvk62fOhDPOgMMPhylT8j+fpGItHofOneGXXxJrZcvChAnB/5UkSdvGBqEkSfp/jRvD66/DW2/BoYcmXz9tGhxzTNBU/Pjj/M8nqVh68EGYNCm8Nngw7LtvtHkkSSpqbBBKkqRELVrAhx/Cyy8HZ/eSmTwZmjaFVq3gq6/yP5+kYuOrr4JZSWFOOw0uuyzaPJIkFUU2CCVJUrhYDE49FT77LBhMUrt28ue8+GLQUOzYEebPz/eIkoq21auhTRtYsyaxtuuuMGJE8hlLkiQpORuEkiQpdyVKBD+hf/MNDBsGe+yR+/p4HMaMgbp14fLLYdGiaHJKKnJ69dr8puQnnoCdd442jyRJRZUNQkmStGVKlYKLL4Y5c4JLv3baKff12dnw8MNQq1bwU/7vv0eTU1KRMGkS3H9/eO266+D446PNI0lSURaLx+Pxgg4hFTVZWVlkZGQAkJmZSXp6egEnkqR88NdfcO+9QbNw2bLk6ytVCi4Su/Za2GGHfI8nqfD65ZfgtoJff02sHXRQMB+pTJnIY0mSVGS5g1CSJG2bSpWgb9/grsHu3aFs2dzX//UX3HJLsKNwyJDgcjFJ2kQ8Dp07hzcHy5ULrkS1OShJUt6yQShJkrZPtWpw990wdy5ceimkpeW+/rffoFs32GcfGD48OIosSX8bOhT+97/w2j33QP360eaRJKk4sEEoSZLyxh57BHcOzpoF7dolHy2alRXcabjvvvDUU5CTE01OSSlr5kzo2TO8dsYZ0LVrtHkkSSoubBBKkqS8Vbs2jB0LX3wR/ESfzJw5cP75cMghMHFicL5QUrGzalUwMH3NmsTabrsFG46Tve8gSZK2jQ1CSZKUPw44AF58EaZOhWOOSb7+iy/g1FPhiCPg3XfzPZ6k1NKzJ3z9dXjtiSeC2wwkSVL+sEEoSZLy16GHwptvwuTJ0KRJ8vUffABHHQUnnggzZuR/PkkFbuJEeOCB8Nr110PLltHmkSSpuLFBKEmSonHssTBtWrCrcL/9kq9/7TVo1AjOOSe411BSkfTzz8HU4jAHHQS33x5pHEmSiiUbhJIkKTqxWHAv4RdfwJgxUKNG8uc89xzsv3/QQfj++3yPKCk6OTnBX+3ffkuslSsHEyZAmTLR55IkqbixQShJkqJXsiS0bw+zZ8NDDwUTCHKTkwOjRkGdOnD11cGWI0mF3tCh8Oqr4bV774V69aLNI0lScWWDUJIkFZzSpeGyy2DuXBg4EKpWzX39unVBR6FWLejdG5YsiSanpDz35ZfBYJIwZ5wBl1wSbR5JkoozG4SSJKnglS8PPXrA/Plwyy1QsWLu61euhDvvDI4o33EHLF8eTU5JeWLVKmjTBtauTaztthsMHx7cSCBJkqJhg1CSJKWOHXeE/v2DRmG3bskvH1u6FG66KdhROHQorFkTTU5J26VHD/jmm/Da6NFQrVq0eSRJKu5sEEqSpNSz885wzz0wZw5cfHFwZ2Fufv01uJuwTh0YORKys6PJKWmrvfwyPPhgeK1HDzjuuGjzSJIkG4SSJCmVZWTAsGHBVqPzz0++fuFCuPBCOOAAePbZYLiJpJSxaFHwVzTMIYfAbbdFm0eSJAVsEEqSpNRXpw5MmACffQannpp8/ezZ0Lo1NG4cjEiNx/M/o6Rc5eRAp06weHFirXx5GD8+mFskSZKiZ4NQkiQVHgcdFJxP/OADOOqo5Os//RROOilY+/77+R5P0ubddx+8/np4bcgQqFs30jiSJGkjNgglSVLhc/jhMGUKvPYaNGyYfP1778ERR8AppwS7ECVF6vPP4YYbwmutWkGXLpHGkSRJm7BBKEmSCqdYDI4/HqZPD+4brFcv+XMmTQouOjvvPPjuu/zPKImVK6FtW1i7NrG2xx7w2GPBX2dJklRwbBBKkqTCLRaDs8+Gr76CUaNgr72SP+fpp2HffYNtSwsX5ntEqTjr3h1mzUp8PBaD0aNhp52izyRJkv7NBqEkSSoaSpaECy6Ab7+FBx6AXXbJff369TBiBOyzD3TrBr/+Gk1OqRh56SV4+OHwWo8ecMwx0eaRJEnhbBBKkqSipUwZuOIKmDcP7rwTKlfOff3atcGEhJo1oU8f+PPPCEJKRd+iRXDRReG1hg3h1lujzSNJkjbPBqEkSSqaKlQIpiIsWAA33QTly+e+fsUKuO22oFE4YEBwcZqkbZKTE2zoXbw4sVa+PIwbB6VLR59LkiSFs0EoSZKKtsqVg8bf/Plw9dXJuxJLlgSNxVq14KGHwicrSMrVkCHwxhvhtfvug7p1I40jSZKSsEEoSZKKh112CToT330HnTtDiSTfBv38c3BUuV49GDMmuLNQUlKffw433hheO+uszR87liRJBccGoSRJKl722gsefxy+/hpat06+fsEC6NgRGjSAF16AeDz/M0qF1MqV0KZN+MbbPfaAxx4LphdLkqTUYoNQkiQVT/XqwdNPw4wZcNJJydd/802w/alp0+DspI1CKcH118Ps2YmPx2LBRtyqVaPPJEmSkrNBKEmSirdDDoFJk+Ddd6F58+Trp0+H44+HY46BqVPzP59USLz4IjzySHitVy9o0SLSOJIkaSvYIJQkSQI44oigSThpEhx0UPL1b78Nhx8Op58OX36Z3+mklPbTT9ClS3itUSPo3z/aPJIkaevYIJQkSfpHLBYcN54xIzh+vCWjVl9+OWgotmsHc+fme0Qp1eTkBNd0/v57Yq1CBRg/PvnwcEmSVLBsEEqSJG2qRIlggMlXX8GIEZCRkfv6eDzogtSrB127wo8/RpNTSgH33ANvvhleu/9+2GefaPNIkqStZ4NQkiRpc9LS4MILYc4cuO8+2Hnn3NevXw/DhkGtWtC9OyxeHE1OqYB8+in07h1eO+cc6Nw52jySJGnb2CCUJElKpkwZuPpqmD8fbrsNdtwx9/Vr1sDgwVCjBvTrB3/9FUlMKUorVkDbtrBuXWItPT3olcdi0eeSJElbzwahJEnSlqpYEW66KWgU9uoF5crlvn758mA6Q82aMGgQrFoVTU4pAtddB99+m/h4LAZjx0KVKtFnkiRJ28YGoSRJ0taqWhXuugvmzYMrroBSpXJf//vv0KMH1K4Njz4avuVKKkReeCHYIRjmhhvgqKOizSNJkraPDUJJkqRttdtu8MADwTaqCy4Ihpvk5qef4NJLoX79YKhJTk40OaU89OOP0KVLeK1x42DTrCRJKlxsEEqSJG2vGjVg1CiYORPOOiv5+nnzoF07OOggeOmlYAqyVAjk5AS98D/+SKxVqBD0vZNtqJUkSanHBqEkSVJe2XdfeO45+PhjOP745OtnzoQzzoDDDoO33sr/fNJ2GjwY3nwzvDZ0aHCKXpIkFT42CCVJkvJa48bw2mswZUrQ/Evmo4/g2GOhZcuguSiloE8/DWb0hGndGjp1ijSOJEnKQzYIJUmS8svRR8MHH8DLL0ODBsnXT54MTZtCq1bw1Vf5Hk/aUitWQJs24fN1MjKC2TuxWPS5JElS3rBBKEmSlJ9iMTj1VPjsM5gwYcvOYL74YtBQ7NgR5s/P94hSMtdeC999l/h4LAZjx0KVKpFHkiRJecgGoSRJUhRKlIDzz4dvvoFhw2CPPXJfH4/DmDFQty5cfnkwAVkqAM89B8OHh9d694Yjj4w2jyRJyns2CCVJkqJUqhRcfDHMnQv33APVquW+PjsbHn4YatWCnj3h99+jySkBWVnBH9cwTZtC377R5pEkSfnDBqEkSVJBKFsWunWDefOgf3/YYYfc169eDXffDTVrwq23wrJl0eRUsbV+fXDKfcmSxFrFijBuXNDvliRJhZ8NQkmSpIJUqRLccgssWAA9egSNw9z89VewvlYtGDIkaBxK+WDQoGAQd5gHHgj+CEqSpKLBBqEkSVIq2GknGDgw2FF46aWQlpb7+t9+C3Yg7rNPcEFcdnY0OVUsfPIJ3HxzeO2884KdhZIkqeiwQShJkpRKdt89uHNw9mxo3z4YE5ubfy6J23dfeOopyMmJJqeKrOXLoW3b8J7znnvCI48k/2MpSZIKFxuEkiRJqahWrWCK8RdfwBlnJF8/Z04wJfmQQ2DixGAKsrQNrr02+OO0qRIlYOxYqFw56kSSJCm/2SCUJElKZQccAC++CNOmwTHHJF//xRdw6qnQvDm8806+x1PR8txzMGJEeK13bzjiiGjzSJKkaNgglCRJKgyaNoU334TJk6FJk+TrP/wQjj4aTjwRZszI93gq/DIzg9PqYZo2DWbjSJKkoskGoSRJUmFy7LHBbsIXX4T99ku+/rXXoFEjOOccmDUr3+OpcFq/Phg8smRJYq1iRRg3DkqVij6XJEmKhg1CSZKkwiYWC+4l/OKL4FK4mjWTP+e552D//aFzZ/j++3yPqMLl7rvh7bfDaw8+GFyJKUmSii4bhJIkSYVVyZLQrl2wM/Dhh2G33XJfn5MDo0ZBnTpw1VXw88+RxFRqmz4d+vQJr51/PnToEG0eSZIUPRuEkiRJhV3p0nDppTB3LgwcCFWr5r5+3Tp44IFgW1jv3uHnSlUsLF8ObdtCdnZiba+9gr5zLBZ9LkmSFC0bhJIkSUVF+fLQowfMnx9MlKhYMff1K1fCnXdCjRpwxx1Bt0jFytVXB33lTZUoEdw7WLly5JEkSVIBsEEoSZJU1Oy4I/TvHzQKr7sOypTJff3SpXDTTcGOwqFDYc2aaHKqQD3zDIwcGV67+WZo1izaPJIkqeDYIJQkSSqqdt4ZBg+GOXPg4ouDOwtz8+uvwZayOnWCzlHYuVMVCQsXwiWXhNcOO2zzdxJKkqSiyQahJElSUZeRAcOGBcNM2rRJvn7hQrjwwmDq8TPPBMNNVGSsXx8MHvnzz8TaDjsER4vT0iKPJUmSCpANQkmSpOJin31g/Hj4/HM49dTk67/9Fs49Fxo3hldfhXg83yMq/w0YAO++G1576KHgSkpJklS82CCUJEkqbg48EF5+GT74AI46Kvn6Tz+Fk04K1r7/fv7nU775+GPo2ze81rYttG8fbR5JkpQabBBKkiQVV4cfDlOmwOuvQ6NGyde/9x4ccQSccgp89ln+51OeWrYsaAKGXS25997B7kFJklQ82SCUJEkqzmIxaNky2Fr23HNQv37y50yaBIccAuedFxxDVqFw9dUwb17i4yVKwNixwfBrSZJUPNkglCRJUtAoPOssmDkTRo2CvfZK/pynn4b99oMuXYLBJkpZTz8d/L81TJ8+0KxZpHEkSVKKsUEoSZKk/1eyJFxwQbAz8IEHYJddcl+/fj2MGBEMQLn2Wvj110hiasstXAiXXBJeO/xwuPnmaPNIkqTUY4NQkiRJicqUgSuuCM6k3nUXVKmS+/q1a+G++6BmzWBL2p9/RhJTuVu/Phg8snRpYq1SpeBocVpa9LkkSVJqsUEoSZKkzatQAXr1gvnz4aabgv/OzYoVcNttQaNwwABYuTKanAp1113BbJkwDz0ENWpEm0eSJKUmG4SSJElKrnLloPE3bx5ccw2ULp37+iVL4IYboFatoBO1dm0kMfX/PvoI+vYNr7VrF/ySJEkCG4SSJEnaGrvsAkOGwHffwYUXBiNwc/Pzz8FR5bp1YfTo4Myr8t1ff0HbtuH/c9eoAQ8+GH0mSZKUumwQSpIkaevttVcwnOTrr+Hcc5Ov//77YPhJgwbwwgsQj+d7xOLsqquCU+GbKlkSxo2DHXeMPpMkSUpdNgglFZhOnToRi8U2/OrXr9+/6v369ftXvVOnTgWSU4Wbf86kfFavHjz1FHz6KZx0UvL133wDZ50FTZrAG2/YKMwHTz4ZbNYMc8stcNhh0eaRJEmpzwahJEmStt/BB8OkSfDuu9C8efL1n3wCxx8PxxwDU6fmf75i4ocf4NJLw2vNmkHv3tHmkSRJhYMNQkmSJOWdI44ImoSTJgVNw2TefhsOPxxOPx2+/DLf4xVl2dnQvj0sXZpYq1QJxo6FtLToc0mSpNRng1CSJEl5KxYLjht/8gk8/XQwoCSZl1+Ggw4KJmvMmZPvEYuiO++E998Prz3yCOy9d6RxJElSIWKDUJIkSfmjRAlo3Rq++goefxz23DP39fE4TJgA9etD166QlRVNziJg6lTo3z+81qEDtGkTbR5JklS42CCUJElS/kpLg86d4bvv4L77oHr13NevXw/DhkHt2nD99bB4cTQ5C6m//oJ27YL/2TZVsyY88ED0mSRJUuFig1CSJEnRKFMGrr4a5s2D22+HHXfMff2aNXDPPVCjBvTrF3TClODKK2HBgsTHS5aEceOC+wclSZJyY4NQkiRJ0apYMRinO38+3HADlCuX+/rly4PzszVrwqBBsGpVNDkLgQkTYMyY8FrfvnDoodHmkSRJhZMNQkmSJBWMqlWDyRrz5sEVV0CpUrmv//136NEjOHr86KOwbl00OVPU99/DpZeG15o3D3qwkiRJW8IGoSRJkgrWbrsFF+V9+y1ccEEw3CQ3P/0UdMbq1QvO0IZdvlfEZWdD+/bhp6533BHGjg2OGEuSJG0JG4SSJElKDTVqwKhRMHMmnH128vXz5wddsoMOgpdeCqYgFxN33AEffBBee+QR2GuvaPNIkqTCzQahpCLn+++/JxaL5fqrU6dOW/S5Ro0alfRzjRo1Kl9/P4XBkiVLKFeuXK7/O5111llb/XkXLVpEWlparp/3/PPPz4ffkaQCte++8OyzMH06HH988vVffQVnnAGHHQZvvZX/+QrYhx8GVzKGueAC8MuiJEnaWjYIJUnbrUqVKpydZLfPxIkT+eOPP7bq844bN471SY4OXnLJJVv1OSUVIo0awWuvwZQpQfMvmY8+gmOPhZYt4eOP8z9fAVi6FNq1g5ycxFqtWjB0aPSZJElS4WeDUJKUJ5I16tauXctTTz21VZ9zzOZGc/6tdu3atGjRYqs+p6RC6Oijg/O0r7wCBx6YfP3kydC0KbRqFewuLEKuuCIYTrKpkiWD6xh32CHySJIkqQiwQShJyhNHHnkk9erVy3VNsobfxmbOnMmXX36Z65qLL76YWCy2xZ9TUiEWi8Epp8Cnn8KECcEk42RefBEaNIAOHYL7Cgu5ceOCX2H69w96opIkSdvCBqEkKc9cfPHFudanTp3K3Llzt+hzjR49Otd6qVKltvguSUlFSIkSwSV733wDjz0G6em5r4/Hg5G+devC5ZcHE5ALoQUL4LLLwmtHHgk33BBtHkmSVLTYIJQk5ZkLLriAMmXK5LpmS3YR5uTkMH78+FzXnHnmmVSvXn2r8kkqQkqVgi5dYM4cuOceqFYt9/XZ2fDww8FFfT17wu+/R5MzD2RnB/cOLluWWKtcGcaMCY4YS5IkbSsbhJKkPLPTTjvRqlWrXNeMGTOGeDye65o333yTn5Ls8nE4iSQAypaFbt2CI8T9+ye/hG/1arj7bqhZE269NbzrlmJuuw2mTg2vPfoo7LlntHkkSVLRY4NQkpSnkjXuFixYwAcffJDrmmS7DGvVqsWxxx671dkkFWE77AC33BKcxe3RI2gc5uavv4L1NWvCvfcGjcMU9MEHQR8zTKdOcO65kcaRJElFVFpBB5Ak/b8+ffowZcqUAnntk08+md69e2/352nRogX77LMPc+bM2eya0aNH07x589DaihUreOGFF3J9jS5dujicRFK4nXaCgQPh2muDrXePPRac0d2cxYvhuuuCY8p9+wZdt7TU+BZ56dLgaHFOTmKtVi24//7oM0mSpKIpNb77kSQBMGvWrKS76/JL7S2ZCLqFunTpQq9evTZbf+aZZxg6dGjofYUvvPACy5cv3+xzS5UqRefOnfMkp6QibPfd4aGH4PrroV+/YPxvbtcbZGXBxRcHzcX//CfYmleiYA/bXH45/PBD4uNpaTB+fPLT1JIkSVvKI8aSpDzXuXNnSpcuvdn6n3/+yUsvvRRaS3a8+PTTT2eXXXbZrnySipFatYIpHl9+CWeemXz9nDnQpg0ccghMnJh7UzEfjR0bNAHD9O8PTZpEm0eSJBVtNgglSXlu55135owzzsh1TVgjcNGiRbz55pu5Ps/hJJK2yf77wwsvwLRpsCV3mH7xBZx6KjRvDu+8k//5NjJ/frB7MMxRR0EuG7QlSZK2iQ1CSVK+SNbIe/XVV/ntt9/+9dj48eNZv379Zp9To0YNWrZsmSf5JBVTTZvC5MnBr6ZNk6//8EM4+mg44QSYMSPf42VnB/cOhg1Xrlw52AxZsmS+x5AkScWMDUJJykVO2M3w2iLHHnssNWvW3Gx93bp1PPnkk/96LNnx4osvvtjhJJLyxrHHwtSp8N//BrsLk3n9dWjUCM45B2bNyrdY//lPsMkxzLBhkJGRby8tSZKKMRuEkoql3Hapbeyvv/7K5yT/9uyzzxKPxwvk16hRo/L09xKLxejSpUuua0aPHr3h45kzZ/LFF19sdm1aWprDSSTlrVgMTj8dPv88uPQvlzc1NnjuuaCh2KkTfP99nsZ57z24/fbw2oUXQuvWefpykiRJG9gglFQsrV69eovW/fjjj/mcpGi78MILKVWq1Gbrn3zyCbNnzwa2bDjJrrvumqf5JAkIzuy2awezZ8PDD8P/tXf/sVWX9x7AP6c9hTIVhk6hWKAgMhR/i2wzRmCuA0UUMJcN4yKUwrwaQ2YwenVMncnNdXKj9+5quHFTBpa5iwEnWbKJBkGEidOoXAdRzBCBsjGl1sLElvb+UeWCtKc/OKel/b5eyYkn5/l8n+dzNJHy7vf7PEVFmevr6yN+9auI4cMjbr01YvfuY26hqirihhsap/6yM8+M+I//OOYlAACaJSAEup38VmzO9ElTmzs14bUO2G+qO+vXr19MmjQpY83ixYujvr4+ljZ3XOfnHE4C5FxBQcRNN0W8917Egw9GnHxy5vra2oj/+q/Gk5L/5V8i9u5t3TrV1RF//nPExo0Rf/5zNHxcHf/8zxHbtx9dmk5HVFREnHhi278OAEBrCQjpMDU1NbF27dpYsGBBTJs2LYYMGRKpVCpSqVSUlJTkZM0NGzbED37wgygpKYnCwsIoKiqKCRMmHLXvGd1L7969W6zZtWtXizV79uyJl156KRstJVpLwV5FRUU8//zzGe/WLCkpcTgJ0HF69YqYN6/xOOF77mk5ndu/P+Lf/i1iyJCIf/3XiJqao2saGiJWr27cw/DkkyNGjmw8JGXkyGg4+eSY+tQ/xdhYHRENR1x2//0Rl1ySva8GANAUASEdZtKkSTFmzJi4/fbbY9myZbEty/v2fNlPf/rTuOyyy+LJJ5+M999/Pw4cOBC7d++OP/zhDzF9+vS45pprWv2YKV1L7969Iy8v8//etmzZEvv3789Ys2DBgqirq8tma4lUWlqa8ZcA27dvj7lz52aco7y8vMX/pgBZ16dPxL33NgaFt90W0bNn5vqPP464++7GOwr/8z8jDhxo/Pz11yPOPTfi299u3MPwS/vg5tUfjH+Kp2N1fDs2xblxYbweEY2HJ99+e/a/FgDAl/nbFh2moeH/fyPet2/fKC0tjRNz9LzML37xi7jnnnuivr4+zjjjjPjlL38ZGzdujGeeeSbGjRsXERErV65s8QAFuqZUKpXx9NyIxhN0Fy5c2Oz4qlWr4qGHHsp2a4mUl5cXs2bNyljzxT6ETUmn01FWVpbttgBa79RTI/793yO2bo2YM6dxz8JM/va3iLlzG/conDcv4vLLI95+u1VLnRNvx9q4PKacuCqWLGl5KQCAbBAQ0mGuv/76qKioiHfffTc++uijeO655+KUU07J+jpVVVVx++e/bh80aFD88Y9/jLKysrjkkkvi2muvjVWrVh3aE62ioiLWrl2b9R7ofKNHj26x5s4774xHH300amtrD31WXV0dP/vZz+Kaa6454nOOTVlZWaTT6XZde/XVV0dRSwcGAHSE4uKI//7viM2bI6ZPb7l++/bGYHHfvjYtc2Lsi/+pmxLFf3u9nY0CALSNgJAOM2fOnLj++utj2LBhOV3nsccei6qqqoiIeOCBB+JrX/vaEeP5+fnx6KOPHjrI4sEHH8xpP3SO8ePHt1hTW1sbt9xyS/Tr1y+++c1vxnnnnRennXZa3HHHHR4/z7IBAwbExIkT23Wtw0mA486ZZ0YsXRrxxhsRV1+dkyXSn+6LuPHGxr0LAQByTEBIt/PMM89EROM+dFOnTm2ypri4OL7zne9EROOjpDVNbSZOlzZt2rTo27dvq2r37t0br7zySmzatCkOfLFfFFnXnqBv8ODBrQp7ATrF+edHrFwZ8fLLEWPGZH/+//3fiDVrsj8vAMCXCAjpVj777LPYuHFjRER861vfih49ejRbO+bzH+QPHDgQr776aof0R8cpLCyM+fPnH9Mc6XS62ZCZtpswYUIMGjSoTdfMmjXL4STA8e/SSxtPKH7uuYhRo7I796OPZnc+AIAm+FsX3cq777576NTZESNGZKw9fHzz5s1tWmfHjh0ZX5WVlW1vnqybO3dulJaWtuvaXr16xbJlyw7tV8mxy8vLa9NhI/n5+Q4nAbqOVCqitDRi48aIJ5/M3rzLl0dUV2dvPgCAJggI6VY++OCDQ++Li4sz1g4cOLDJ61pj4MCBGV+tOSCD3MvLy4tnn302pkyZ0qbrzj777Fi/fn1Mnjw5N40l2KxZsw7t/9mSiRMnxumnn57jjgCyLJWKuPDC7M138GDEzp3Zmw8AoAkCQrqVTz755ND7E088MWPtCSeccOi9PQi7r8LCwli+fHksX748Lr744oy1I0eOjIULF8abb74ZF1xwQcc0mDDFxcVx5ZVXtqrW4SRAl5XtnysO+/kGACAX0p3dAGTT4SfPZtp/MCKiZ8+eh97/4x//aNM6Ld1xWFlZ6S7C48yUKVNiypQpUVlZGevXr4/du3dHVVVV9OzZMwYNGhSjRo2KoUOHHnXdjBkzYsaMGR3fcDe2cuXKzm4BILda+CVlm510UnbnAwD4EgEhR6irq4uCgoJjnueJJ57olFClsLDw0PvPPvssY+3hp9X26tWrTeu09Pgyx6+ioqK47rrrOrsNALqz4uKI/PzGx4OPVTodYbsFACDHPGJMt3LSYb9hb+mx4X379h1639LjyAAArda7d0Qb979t1pQpjfMBAOSQOwg5QjqdbvOJvk0pKirKQjdtd/idfTt27MhYe/hjwocfWAIAcMxuvjni6aezMw8AQI4JCDnKiBEjOruFdhs+fHjk5+fHwYMHY8uWLRlrDx8/66yzct0aAJAkY8dGjBwZ8fbb7Z/jnHMixozJWksAAM3xiDHdSo8ePQ4dDrJhw4aM+xCuWbMmIhoPKxk1alSH9AcAJEQqFbF4ccQJJ7Tv+hNOiPjVrxrnAQDIMQEh3c7kyZMjIqK6ujqWL1/eZM2OHTvi+eefj4iIK6644oi9CwEAsuKiiyJWrGh7SHjCCY3XXXRRbvoCAPgSASFdyrZt2yKVSkUqlYqxY8c2WVNeXh59+vSJiIg777wzPvzwwyPGDx48GDfffHMc/PxkwXnz5uW0ZwAgwUpLI9aubXzcuDXOOaexvrQ0t30BABzGHoR0mK1bt8a6deuO+OyLk4Zrampi0aJFR4xNmDAh+vfv3+Z1Tj755HjggQfipptuivfffz++8Y1vxN133x3nnntu7Nq1Kx5++OFYvXp1RERMnz49xo0b174vBADQGhddFLFpU8SaNRGPPNJ4d+Dnv6iMiIh0uvG04ptvbtxz0GPFAEAHExDSYdatWxczZ85scuzDDz88amz16tXtCggjIn74wx/Grl274v7774/33nsvysrKjqq56qqr4vHHH2/X/AAAbZJKNR5cMnZsRHV1xM6dEZ98EnHSSRGnnx7Ru3dndwgAJJiAkG7rvvvui/Hjx8cjjzwSL730Uvz1r3+Nr371q3H++efHzJkzY/r06Z3dIgCQRL17CwQBgOOKgJAOM2PGjJgxY8YxzVFSUhINDQ2trr/00kvj0ksvPaY1AQAAALqzVENb0hagVXbs2BEDBw6MiIgPPvggiouLO7kjAAAAgKY5xRgAAAAAEkxACAAAAAAJJiAEAAAAgAQTEAIAAABAggkIAQAAACDBBIQAAAAAkGACQgAAAABIMAEhAAAAACSYgBAAAAAAEkxACAAAAAAJJiAEAAAAgAQTEAIAAABAggkIAQAAACDBBIQAAAAAkGACQgAAAABIMAEhAAAAACSYgBAAAAAAEkxACAAAAAAJJiAEAAAAgAQTEAIAAABAggkIAQAAACDBBIQAAAAAkGACQgAAAABIMAEhAAAAACSYgBAAAAAAEkxACAAAAAAJJiAEAAAAgAQTEAIAAABAggkIAQAAACDBBIQAAAAAkGACQgAAAABIMAEhAAAAACSYgBAAAAAAEkxACAAAAAAJJiAEAAAAgAQTEAIAAABAggkIAQAAACDBBIQAAAAAkGACQgAAAABIMAEhAAAAACSYgBAAAAAAEkxACAAAAAAJJiAEAAAAgAQTEAIAAABAggkIAQAAACDBBIQAAAAAkGACQgAAAABIMAEhAAAAACSYgBAAAAAAEkxACAAAAAAJJiAEAAAAgAQTEAIAAABAggkIAQAAACDBBIQAAAAAkGACQgAAAABIMAEhAAAAACSYgBAAAAAAEkxACAAAAAAJJiAEAAAAgAQTEAIAAABAggkIAQAAACDBBIQAAAAAkGACQgAAAABIMAEhAAAAACSYgBAAAAAAEkxACAAAAAAJJiAEAAAAgAQTEAIAAABAggkIAQAAACDBBIQAAAAAkGACQgAAAABIMAEhAAAAACSYgBAAAAAAEkxACAAAAAAJJiAEAAAAgAQTEAIAAABAggkIAQAAACDBBIQAAAAAkGACQgAAAABIMAEhAAAAACSYgBAAAAAAEkxACAAAAAAJJiAEAAAAgAQTEAIAAABAggkIAQAAACDBBIQAAAAAkGACQgAAAABIMAEhAAAAACSYgBAAAAAAEkxACAAAAAAJJiAEAAAAgAQTEAIAAABAggkIAQAAACDBBIQAAAAAkGACQgAAAABIMAEhAAAAACSYgBAAAAAAEkxACABAp9u2bVukUqmMrxkzZrRqrkWLFrU416JFi3L6fbqCvXv3Rq9evTL+e5o6dWqb562srIx0Op1x3u9///s5+EYAQHsJCAEAIIH69u0b1113Xcaa3/3ud/HRRx+1ad6Kioo4ePBgxpo5c+a0aU4AILcEhAAAkFAtBXWfffZZ/OY3v2nTnEuWLMk4PmzYsBg3blyb5gQAcktACAAACXX55ZfHiBEjMta0FPgdbtOmTfHWW29lrJk9e3akUqlWzwkA5J6AEAAAEmz27NkZxzds2BBbt25t1VyLFy/OOF5QUNDqvSQBgI4jIAQAgAS78cYbo2fPnhlrWnMXYX19fSxdujRjzeTJk+O0005rU38AQO4JCAEAIMFOOeWUmDJlSsaaJUuWRENDQ8aaF154IXbt2pWxxuEkAHB8EhACAEDCtRTc/eUvf4mXX345Y01LdxmeccYZccUVV7S5NwAg99Kd3QAAAHRl8+fPj9WrV3fK2ldddVXcddddxzzPuHHj4swzz4x333232ZrFixfHZZdd1uTYvn37YsWKFRnXKC8vdzgJABynBIQAAHAMNm/e3OLddbkybNiwrM1VXl4ed9xxR7Pjy5Yti5///OdN7le4YsWKqKmpafbagoKCmDlzZlb6BACyzyPGAABAzJw5M3r06NHseFVVVTz77LNNjrX0ePE111wT/fr1O6b+AIDcERACAABx6qmnxrXXXpuxpqkgsLKyMl544YWM1zmcBACObwJCAAAgIloO8n7/+9/Hnj17jvhs6dKlcfDgwWavGTJkSJSWlmalPwAgNwSEAAB0K/X19Z3dQpd1xRVXxNChQ5sdr62tjaeeeuqIz1p6vHj27NkOJwGA45yAEACALiHTXWqHq66uznEnR3r66aejoaGhU16LFi3K6ndJpVJRXl6esWbx4sWH3m/atCnefPPNZmvT6bTDSQCgCxAQAgDQJXz66aetqtu5c2eOO+neysrKoqCgoNnxP/3pT7Fly5aIaN3hJP37989qfwBA9gkIAQDodPn5+S3WfPLJJ62a67XXXjvWdhKtX79+MWnSpIw1ixcvjvr6+li6dGnGOoeTAEDXICCkw9TU1MTatWtjwYIFMW3atBgyZEikUqlIpVJRUlKStXVefPHFQ/O29Lr3zZmI/AAABkxJREFU3nuzti4A0H69e/dusWbXrl0t1uzZsydeeumlbLSUaC0FexUVFfH8889nvFuzpKTE4SQA0EWkO7sBkmPSpEnx4osvdnYbAMBxqHfv3pGXl5fxgJEtW7bE/v374ytf+UqzNQsWLIi6urpctJgopaWlUVJSEtu2bWtyfPv27TF37tyMc5SXl0denvsRAKArEBDSYRoaGg6979u3b4waNSo2bNgQNTU1OVvz8ccfj0suuaTZ8dNOOy1nawMArZdKpWLo0KGxdevWZmtqa2tj4cKFcdtttzU5vmrVqnjooYdy1WKi5OXlxaxZs2L+/PnN1nyxD2FT0ul0lJWV5aI1ACAHBIR0mOuvvz7mzJkTo0ePjmHDhkVE46MnuQwIhwwZEuecc07O5gcAsmf06NEZA8KIiDvvvDMKCwtj9uzZhw7SqK6ujoULF8Y999wTtbW1HdFqIpSVlcV9993Xrjsyr7766igqKspBVwBALggI6TA2qQYAMhk/fnyLh17U1tbGLbfcEj/+8Y9j+PDhsX///njnnXfiwIEDHdRlcgwYMCAmTpwYv/3tb9t8rZ/7AKBrsSkIAADHhWnTpkXfvn1bVbt379545ZVXYtOmTcLBHGpP0Dd48OAYP358DroBAHJFQAgAwHGhsLAw4553rZFOp2Pq1KlZ6ogJEybEoEGD2nTNrFmzHE4CAF2MP7np1u66664oLi6OHj16RN++fePCCy+MH/3oR/HOO+8c07w7duzI+KqsrMzSNwCAZJk7d26Ulpa269pevXrFsmXLYtKkSVnuKrny8vLadNhIfn6+w0kAoAsSENKtbdiwIXbu3Bm1tbVRVVUVb7zxRjz88MNx1llnxb333nvEycptMXDgwIyv0aNHZ/mbAEAy5OXlxbPPPhtTpkxp03Vnn312rF+/PiZPnpybxhJs1qxZkZ+f36raiRMnxumnn57jjgCAbBMQ0i0VFRXFLbfcEr/+9a/jlVdeiddeey1WrFgRZWVlUVBQEPX19XHffffF3Xff3dmtAgBfUlhYGMuXL4/ly5fHxRdfnLF25MiRsXDhwnjzzTfjggsu6JgGE6a4uDiuvPLKVtU6nAQAuqZUQ3tvoYIsKCkpiffffz8GDx4c27Zty8qc+/btix49ekRBQUGT4xs3bozvfve78fHHH0cqlYrXX3+9zX+h2LFjR8bxurq62LNnTxQVFUX//v0jnXZgOAC0V2VlZaxfvz52794dVVVV0bNnzxg0aFCMGjUqhg4d2tntAQB0eQJCjlBXV9dssNYWTzzxRMyYMaPFulwEhK1RUVERN9xwQ0RElJeXx2OPPdZhawMAAAAcTzxiTCJ973vfiz59+kRExJo1azq5GwAAAIDO47lHjpBOp2Pz5s3HPE9RUVEWusmddDodw4cPj1dffTV27tzZ2e0AAAAAdBoBIUcZMWJEZ7fQITxdDwAAAOARYxKqrq4u3nnnnYiIGDBgQCd3AwAAANB5BIQk0lNPPRXV1dURETFmzJhO7gYAAACg8wgI6VK2bdsWqVQqUqlUjB079qjxvXv3xosvvphxjo0bN8att94aERGpVCpuuummHHQKAAAA0DXYg5AOs3Xr1li3bt0Rn9XU1Bz656JFi44YmzBhQvTv379Na3z88ccxbty4OO+882Ly5Mlx8cUXR1FRUeTn58f27dtj5cqVsWTJkqitrY2IiHnz5sWoUaPa/6UAAAAAujgBIR1m3bp1MXPmzCbHPvzww6PGVq9e3eaA8AtvvfVWvPXWW82O5+fnx/z58+MnP/lJu+YHAAAA6C4EhHQrAwYMiGXLlsWGDRti48aNsXPnzvj73/8en376afTp0ye+/vWvx9ixY6O8vDxKSko6u10AAACATpdqaGho6OwmAAAAAIDO4ZASAAAAAEgwASEAAAAAJJiAEAAAAAASTEAIAAAAAAkmIAQAAACABBMQAgAAAECCCQgBAAAAIMEEhAAAAACQYAJCAAAAAEgwASEAAAAAJJiAEAAAAAASTEAIAAAAAAkmIAQAAACABBMQAgAAAECCCQgBAAAAIMEEhAAAAACQYAJCAAAAAEgwASEAAAAAJJiAEAAAAAASTEAIAAAAAAkmIAQAAACABBMQAgAAAECCCQgBAAAAIMEEhAAAAACQYP8HvOPPjzWTZP8AAAAASUVORK5CYII=", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 649, "width": 644 } }, "output_type": "display_data" } ], "source": [ "ax = ut.plotSetup(-1.5,8,-1.5,3, (8, 8))\n", "ut.centerAxes(ax)\n", "u = np.array([7., 1])\n", "v = np.array([3., 2])\n", "plt.plot([0,v[0]],[0,v[1]],'b-',lw=2)\n", "ax.text(v[0]+0.25,v[1]+0.25,r'$\\bf v$',size=18)\n", "plt.plot([v[0],u[0]],[v[1],u[1]],'r-',lw=2)\n", "ax.text(u[0]+0.25,u[1]+0.25,r'$\\bf u$',size=18)\n", "plt.plot([u[0],u[0]-v[0]],[u[1],u[1]-v[1]],'b-',lw=2)\n", "ax.text(u[0]-v[0]-0.5,u[1]-v[1]-0.5,r'$\\bf u-v$',size=18)\n", "plt.plot([u[0]-v[0],0],[u[1]-v[1],0],'r-',lw=2)\n", "ut.plotVec(ax,u-v)\n", "ut.plotVec(ax,u)\n", "ut.plotVec(ax,v)\n", "m = (u-v)/2.0\n", "mm = v + m\n", "ax.text(m[0]-1.5,m[1]-0.5,r'$\\Vert{\\bf u-v}\\Vert$',size=18)\n", "ax.text(mm[0]+0.25,mm[1]+0.25,r'$\\Vert{\\bf u-v}\\Vert$',size=18);" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "This shows that the distance between two vectors is the length of their difference." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "``` {toggle}\n", "Question Time! Q 20.1\n", "```" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Orthogonality" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "Now we turn to another familiar notion from 2D geometry, which we'll generalize to $\\mathbb{R}^n$: the notion of being __perpendicular.__" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "Once again, we seek a way to express perpendicularity of two vectors, regardless of the dimension they live in." ] }, { "cell_type": "markdown", "metadata": { "hide_input": true, "slideshow": { "slide_type": "fragment" } }, "source": [ "We will say that two vectors are perpendicular if they form a right angle at the origin.\n" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "hide_input": true, "tags": [ "remove-input" ] }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 511, "width": 516 } }, "output_type": "display_data" } ], "source": [ "ax = ut.plotSetup(-1,4,-2,3,(6,6))\n", "ax.set_aspect('equal')\n", "# ut.noAxes(ax)\n", "u = np.array([2, 2])\n", "v = np.array([1, -1])\n", "# v\n", "ut.plotLinEqn(u[0], u[1], 0, '-', 'b')\n", "ut.plotLinEqn(v[0], v[1], 0, '-', 'g')\n", "ax.text(v[0]-0.5,v[1]-0.5,r'$\\bf v$',size=16)\n", "ut.plotVec(ax,v,'b')\n", "# u\n", "ut.plotVec(ax,u,'g'),\n", "ax.text(u[0]+0.25,u[1],r'$\\bf u$',size=16)\n", "# origin\n", "ut.plotVec(ax, np.array([0, 0]), 'k')\n", "ax.text(0-0.1, 0-0.5, r'$\\bf 0$', size=16);\n", "# symbol\n", "perpline1, perpline2 = ut.perp_sym(np.array([0, 0]), u, v, 0.4)\n", "plt.plot(perpline1[0], perpline1[1], 'k', lw = 1)\n", "plt.plot(perpline2[0], perpline2[1], 'k', lw = 1);" ] }, { "cell_type": "markdown", "metadata": { "hide_input": true, "slideshow": { "slide_type": "fragment" } }, "source": [ "Draw the line connecting $\\mathbf{u}$ and $\\mathbf{v}$.\n", "\n", "Then $\\mathbf{u}$ and $\\mathbf{v}$ are perpendicular if and only if they make a right triangle with the origin.\n", "\n", "So $\\mathbf{u}$ and $\\mathbf{v}$ are perpendicular if and only if the Pythagorean Theorem is satisified for this triangle." ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "hide_input": true, "tags": [ "remove-input" ] }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 511, "width": 516 } }, "output_type": "display_data" } ], "source": [ "ax = ut.plotSetup(-1,4,-2,3,(6,6))\n", "ax.set_aspect('equal')\n", "# ut.noAxes(ax)\n", "u = np.array([2, 2])\n", "v = np.array([1, -1])\n", "plt.plot([v[0],u[0]],[v[1],u[1]],'r-',lw=2)\n", "# v\n", "ut.plotLinEqn(u[0], u[1], 0, '-', 'b')\n", "ut.plotLinEqn(v[0], v[1], 0, '-', 'g')\n", "ax.text(v[0]-0.5,v[1]-0.5,r'$\\bf v$',size=16)\n", "ut.plotVec(ax,v,'b')\n", "# u\n", "ut.plotVec(ax,u,'g')\n", "ax.text(u[0]+0.25,u[1],r'$\\bf u$',size=16)\n", "# origin\n", "ut.plotVec(ax, np.array([0, 0]), 'k')\n", "ax.text(0-0.1, 0-0.5, r'$\\bf 0$', size=16);" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "What is the length of the red side of the triangle?\n", "\n", "According to the definitions we've developed today, it is $\\Vert \\mathbf{u} - \\mathbf{v} \\Vert$." ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "hide_input": true, "tags": [ "remove-input" ] }, "outputs": [ { "data": { "image/png": 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DBw6M22+/PSZMmJD3sQAAUjF86+HRfEBzIvfVPLbZkxYCEBEViQSvvvpqHH/88fHqq69GU1NT3HTTTdHcnMxvmgAARXXhoRcmcz+HJXM/AJRf6SPB0qVL44QTTogXX3wxIiKuu+66mDp1as6nAgBI34vLXuz3fRy484ExYU+PvgRgvVJHgnfeeSc+9rGPxbPPPhsREd/85jfj7//+73M+FQBA+m76j5vivF+c16/7GLrV0PjxZ38cTU1NCZ0KgLIrbSRYtWpVfOpTn4qnnnoqIiL++Z//Of7xH/8x51MBAKTvpv+4Kab/fHq0RVuf72PoVkPj3lPvjY/u+tEETwZA2ZUyEqxZsyaam5vjsccei4iIiy66KK688sqcTwUAkL6uAsEXnh0Sf/1G7+7jwJ0PjEfOeSRO2OeEFE4IQJmV8iUQTzvttHj44YcjImLSpElx7rnnxjPPPNPl7QcPHhz77bdfVscDAEhFV4Hg0lGnx5UzfhIREXPHRHzvsIh7D4hYu9FfBw0aMCiaxzbHhYddGBP2nGBiAECnShkJ7rnnno63f/Ob38RBBx3U7e333HPPWLhwYcqnAgBIT5eB4KhL48qfLY32b/knLlz/Y/nWEYvvnBkrDhkX2w3eLnYfvruXOQSgR6WMBAAAddJtIDhmRjSdtvsWHzN8uxEx/JNnRwzyxz0Aeq+Uv2u0tfX9SXoAAMqk20Aw6cpo+s1vIt58c8sP/NznBAIAGlbKJy4EAKiDHgNBU1PEz37W+QdPnpzBCQGoGpEAAKCAehUIWlsjNnqupg4jRkRMnJjNQQGoFJEAAKBgehUIIiLmzjU1ACBRIgEAQIH0OhBEmBoAkDiRAACgIBoKBKYGAKRAJAAAKICGAkGEqQEAqRAJAABy1nAgiDA1ACAVIgEAQI76FAhMDQBIiUgAAJCTPgWCCFMDAFIjEgAA5KDPgSDC1ACA1IgEAAAZ61cgMDUAIEUiAQBAhvoVCCJMDQBIlUgAAJCRfgeCCFMDAFIlEgAAZCCRQGBqAEDKRAIAgJQlEggiTA0ASJ1IAACQosQCQYSpAQCpEwkAAFKSaCAwNQAgAyIBAEAKEg0EEaYGAGRCJAAASFjigSDC1ACATIgEAAAJSiUQmBoAkBGRAAAgIakEgghTAwAyIxIAACQgtUAQYWoAQGZEAgCAfko1EJgaAJAhkQAAoB9SDQQRpgYAZEokAADoo9QDQYSpAQCZEgkAAPogk0BgagBAxkQCAIAGZRIIIkwNAMicSAAA0IDMAkGEqQEAmRMJAAB6KdNAYGoAQA5EAgCAXsg0EESYGgCQC5EAAKAHmQeCCFMDAHIhEgAAdCOXQGBqAEBORAIAgC7kEggiTA0AyI1IAADQidwCQYSpAQC5EQkAADaTayAwNQAgRyIBAMBGcg0EEaYGAORKJAAA2CD3QBBhagBArkQCAIAoSCAwNQAgZyIBAFB7hQgEEaYGAOROJAAAaq0wgSDC1ACA3IkEAEBtFSoQmBoAUAAiAQBQS4UKBBGmBgAUgkgAANRO4QJBhKkBAIUgEgAAtVLIQGBqAEBBiAQAQG0UMhBEmBoAUBgiAQBQC4UNBBGmBgAUhkgAAFReoQOBqQEABSISAACVVuhAEGFqAEChiAQAQGUVPhBEmBoAUCgiAQBQSaUIBKYGABSMSAAAVE4pAkGEqQEAhSMSAACVUppAEGFqAEDhiAQAQGWUKhCYGgBQQCIBAFAJpQoEEaYGABSSSAAAlF7pAkGEqQEAhSQSAAClVspAYGoAQEGJBABAaZUyEESYGgBQWCIBAFBKpQ0EEaYGABSWSAAAlE6pA4GpAQAFJhIAAKVS6kAQYWoAQKGJBABAaZQ+EESYGgBQaCIBAFAKlQgEpgYAFJxIAAAUXiUCQYSpAQCFJxIAAIVWmUAQYWoAQOGJBABAYVUqEJgaAFACIgEAUEiVCgQRpgYAlIJIAAAUTuUCQYSpAQClIBIAAIVSyUBgagBASYgEAEBhVDIQRJgaAFAaIgEAUAiVDQQRpgYAlIZIAADkrtKBwNQAgBIRCQCAXFU6EESYGgBQKiIBAJCbygeCCFMDAEpFJAAAclGLQGBqAEDJiAQAQOZqEQgiTA0AKB2RAADIVG0CQYSpAQClIxIAAJmpVSAwNQCghEQCACATtQoEEaYGAJSSSAAApK52gSDC1ACAUhIJAIBU1TIQmBoAUFIiAQCQmloGgghTAwBKSyQAAFJR20AQYWoAQGmJBABA4modCEwNACgxkQAASFStA0GEqQEApSYSAACJqX0giDA1AKDURAIAIBECQZgaAFB6IgEA0G8CwQamBgCUnEgAAPSLQLARUwMASk4kAAD6TCDYiKkBABUgEgAAfSIQbMbUAIAKEAkAgIYJBJ0wNQCgAkQCAKAhAkEnTA0AqAiRAADoNYGgC6YGAFSESAAA9IpA0A1TAwAqQiQAAHokEHTD1ACAChEJAIBuCQQ9MDUAoEJEAgCgSwJBL5gaAFAhIgEA0CmBoBdMDQCoGJEAANiCQNBLpgYAVIxIAABsQiBogKkBABUjEgAAHQSCBpgaAFBBIgEAEBECQcNMDQCoIJEAABAI+sLUAIAKEgkAoOYEgj4wNQCgokQCAKgxgaCPTA0AqCiRAABqSiDoB1MDACpKJACAGhII+sHUAIAKEwkAoGYEgn4yNQCgwkQCAKgRgSABpgYAVJhIAAA1IRAkwNQAgIoTCQCgBgSChJgaAFBxIgEAVJxAkCBTAwAqTiQAgAoTCBJkagBADYgEAFBRAkHCTA0AqAGRAAAqSCBIgakBADUgEgBAxQgEKTA1AKAmRAIAqBCBICWmBgDUhEgAABUhEKTI1ACAmhAJAKACBIIUmRoAUCMiAQCUnECQMlMDAGpEJACAEhMIMmBqAECNiAQAUFICQQZMDQCoGZEAAEpIIMiIqQEANSMSAEDJCAQZMjUAoGZEAgAoEYEgQ6YGANSQSAAAJSEQZMzUAIAaEgkAoAQEghyYGgBQQyIBABScQJADUwMAakokAIACEwhyYmoAQE2JBABQUAJBjkwNAKgpkQAACkggyJGpAQA1JhIAQMEIBDkzNQCgxkQCACgQgaAATA0AqDGRAAAKQiAoAFMDAGpOJACAAhAICsLUAICaEwkAIGcCQYGYGgBQcyIBAORIICgQUwMAEAkAIC8CQcGYGgCASAAAeRAICsjUAABEAqBeZs2aFU1NTR0/Zs2a1XFtzpw5m1ybMWNGbudsxOb/ThuffeHChVtcm+hh07kTCArI1AAAIkIkAIBMCQQFZWoAABEhEgBAZgSCAjM1AICIEAkAIBMCQYGZGgBAB5EAAFImEBScqQEAdBAJACBFAkEJmBoAQAeRAABSIhCUgKkBAGxCJACAFAgEJWFqAACbEAkAIGECQYmYGgDAJkQCAEiQQFAipgYAsAWRAKAfZsyYEU1NTV3+mDNnTo/3MWbMmC4/fsyYMan/O5AcgaBkTA0AYAsiAQAkQCAoIVMDANiCSAAA/SQQlJCpAQB0SiQAgH4QCErK1AAAOiUSAEAfCQQlZmoAAJ0SCQCgDwSCEjM1AIAuiQQA0CCBoORMDQCgSyIBADRAIKgAUwMA6JJIAAC9JBBUgKkBAHRLJACAXhAIKsLUAAC6JRIAQA8EggoxNQCAbokEANANgaBCTA0AoEciAUCK1q1b1+NtVq9encFJ6AuBoGJMDQCgRyIBQIref//9bq+vW7cu3n777WwOQ0MEggoyNQCAHpU2ErzxxhvxwAMPxGWXXRaf+MQnYsSIEdHU1BRNTU0xbdq0vI8H1MSAAd3/Mrpq1apur//pT3+KNWvWJHkkEiAQVJCpAQD0SmkfW7fLLrvkfQSAGDZsWLfX33jjjW6vP/DAA0kehwQIBBVlagAAvVLaRxJsbPTo0XHiiSfmfQyghrbffvturz/55JNdXlu1alVcd911CZ+I/hAIKszUAAB6pbSR4LLLLotf/OIX8dprr8Urr7wSN9xwQ95HAmpov/326/b6nXfeGS+//PIW71+7dm1Mnz49XnnllbSORoMEggozNQCAXivt4+uuuOKKvI8AEB/96Edj0KBB0dra2un1d955J4466qj4P//n/8SECRNi3bp18fvf/z6uuuqqmDdvXsanpSsCQcWZGgBAr/mdEaAftt122/jkJz8ZP//5z7u8TUtLS5x99tkZnopGCAQ1YGoAAL1W2rlBkfTiZdCBCvvyl7/c54/dZpttYtttt03wNDRCIKgBUwMAaIhI0IWWlpZufyxZsqTjtl/7mlAAdXbcccfF1KlTG/64bbbZJu65554YOXJkCqeiJwJBTZgaAEBD/O7YhdGjR/f6trffHjF0aMQNN0T08JLpQEVdf/318fbbb3c7O9jYmDFj4qc//WmMHz8+5ZPRGYGgRkwNAKAhvqVNyMyZERdc4BEFUFftjwq48cYbY8899+zydnvttVdcccUVMX/+fIEgJwJBjZgaAEDDPJKgC4sWLer2+pIlS7b4A/7Mmev/6REFUE8DBw6M6dOnx/Tp02P+/Pnx1FNPxZtvvhltbW2x2267xdixY+OQQw7Z4uMWLlyY/WFrSiCoGVMDAGiY3yG7MGrUqD59nFAARESMGzcuxo0bl/cx2IhAUEOmBgDQMN/GJmDzv4wwPQAoFoGghkwNAKBPRIIEXH99xFZbbfo+oQCgGASCmjI1AIA+EQkS8LGPrX9Eo1AAUCwCQY2ZGgBAn4gECTn5ZKEAoEgEghozNQCAPhMJEiQUABSDQFBzpgYA0GciQcKEAoB8CQSYGgBA35U2pz/66KPx/PPPd/x86dKlHW8///zzMWvWrE1uP23atIxO9kEomDw54v33P3i/l0cESJdAgKkBAPRPaSPBzJkz48c//nGn1x577LF47LHHNnlflpEgQigAyJpAQESYGgBAP/ndMkVCARTPwQcfHJdffvkmP283ZsyYTa5N9LeOpSEQ0MHUAAD6pamtra2t55uxuZaWlhg9enRERCxatChGjRrV5W3vv3/LUBARMX26UADQXwIBHVpbI3bbbctHEowYEbFkiUcSAFAajXy/mTTfnmbAkxkCpEMgYBOmBgDQbyJBRoQCgGQJBGzB1AAA+k0kyJBQAJAMgYAteFUDAEiESJAxoQCgfwQCOmVqAACJEAlyIBQA9I1AQJdMDQAgESJBToQCgMYIBHTJ1AAAEiMS5EgoAOgdgYBumRoAQGJEgpwJBQDdEwjokakBACRGJCgAoQCgcwIBPTI1AIBEiQQFIRQAbEogoFdMDQAgUSJBgQgFAOsJBPSaqQEAJEokKBihAKg7gYBeMzUAgMSJBAUkFAB1JRDQEFMDAEicSFBQQgFQNwIBDTM1AIDEiQQFJhQAdSEQ0DBTAwBIhUhQcEIBUHUCAX1iagAAqRAJSkAoAKpKIKDPTA0AIBUiQUkIBUDVCAT0makBAKRGJCgRoQCoCoGAfjE1AIDUiAQlIxQAZScQ0G+mBgCQGpGghIQCoKwEAvrN1AAAUiUSlJRQAJSNQEAiTA0AIFUiQYkJBUBZCAQkxtQAAFIlEpScUAAUnUBAYkwNACB1IkEFCAVAUQkEJMrUAABSJxJUhFAAFI1AQOJMDQAgdSJBhQgFQFEIBCTO1AAAMiESVIxQAORNICAVpgYAkAmRoIKEAiAvAgGpMTUAgEyIBBUlFABZEwhIjakBAGRGJKgwoQDIikBAqkwNACAzIkHFCQVA2gQCUmdqAACZEQlqQCgA0iIQkDpTAwDIlEhQE0IBkDSBgEyYGgBApkSCGhEKgKQIBGTG1AAAMiUS1IxQAPSXQEBmTA0AIHMiQQ0JBUBfCQRkytQAADInEtSUUAA0SiAgc6YGAJA5kaDGhAKgtwQCMmdqAAC5EAlqTigAeiIQkAtTAwDIhUiAUAB0SSAgN6YGAJALkYCIEAqALQkE5MbUAAByIxLQQSgA2gkE5MrUAAByIxKwCaEAEAjInakBAORGJGALQgHUl0BA7kwNACBXIgGdEgqgfgQCCsHUAAByJRLQJaEA6kMgoDAqOjWYNWtWNDU1dfyYNWtWx7U5c+Zscm3GjBm5nZP8bP41svHXwsKFC7e4NtEja4CUiAR0SyiA6hMIKAxTAwDInUhAj4QCqC6BgEIxNQCA3IkE9IpQANUjEFA4FZ0aAECZiAT0mlAA1SEQUDimBgBQCCIBDREKoPwEAgrJ1AAACkEkoGFCAZSXQEBhmRoAQCGIBPSJUADlIxBQWKYGAFAYIgF9JhRAeQgEFJqpAQAUhkhAvwgFUHwCAYVnagAAhSES0G9CARSXQEDhmRr0yYwZM6KpqanLH3PmzOnxPsaMGdPlx48ZMyb1f4eieOGFF2LAgAFd/rf4whe+0ND9nXbaaV3e14ABA+LFF19M6d8EIBkiAYkQCqB4BAJKwdSAnO2zzz4xadKkLq/fddddsXr16l7d14oVK+L+++/v8vrxxx8fe++9d8NnBMiSSEBihAIoDoGA0jA1oADOP//8Lq+tWLEi7rvvvl7dT09BobvPA1AUIgGJEgogfwIBpWFqQEE0NzfHzjvv3OX1W265pVf3c+utt3Z5bZdddomTTz654bMBZE0kIHFCAeRHIKBUTA0oiK222irOPvvsLq//8pe/jNdee63b+1i0aFHMnTu3y+vTpk2LrTb/wxFAAYkEpEIogOwJBJSOqQEFct5553X56+TatWvjJz/5Sbcff9ttt8W6Lv6A09TUFOedd16/zwiQBZGA1AgFkB2BgNIxNaBgPvzhD8eECRO6vN7T5KC7qcFxxx0X++yzT5/PBpAlj+UjVe2hYPLkiPff/+D9M2eu/+cNN0QMkKqgXwQCSsnUoPJWr14db731Vmafb/jw4TF8+PB+3cf555/f5ctHPv300zF//vwYN27cFteefPLJePbZZ7u9X4Cy8LswqRMKID0CAaVlalB5Dz74YEzO8H/Pyy+/PGbMmNGv+zjllFNixIgRsXTp0k6v33LLLXHVVVdt8f7uHkWw8847x2c/+9l+nQsgS741IxOmB5A8gYDSMjWgoAYPHhxTp07t8vptt90Wa9eu3eR9ra2tcfvtt3f5MZ6wECgbkYDMCAWQHIGAUjM1oMC6mwYsWbIkfv3rX2/yvocffjjeeOONTm/vCQuBMhIJyJRQAP0nEFB6pgYU2P777x/HHHNMl9c3fwLD7qYGkyZNin333TexswFkQSQgc0IB9J1AQOmZGmSiq5fi29jq1aszOEk5dfe3//fee2+sXLkyIiJWrFgR999/f5e39YSFQBmJBORCKIDGCQRUgqlBJt7f+JmCO7Fu3bp4++23Uz3D5z//+Whra8vsR3+ftHDzs++4446dXlu1alXcfffdERFx1113dRlbRo4c6QkLgVISCciNUAC9JxBQGaYGiRjQw8sCrVq1qtvrf/rTn2LNmjVJHqlShgwZEmeddVaX19snB5tPDzY2bdq0GDx4cOJnA0ibSECuhALomUBAZZgaJGbYsGHdXu/qifTaPfDAA0kep5K6mwrMmTMnfve738XcuXM7ve4JC4EyEwnInVAAXRMIqBRTg8Rsv/323V5/8sknu7y2atWquO666xI+UfV85CMfiSOPPLLTa+vWrYvTTz892traOr0+ceLE+PCHP5zm8QBSIxJQCEIBbEkgoHJMDRKz3377dXv9zjvvjJdffnmL969duzamT58er7zySlpHq5TuHk3Q2X/fdhdccEEaxwHIhEhAYQgF8AGBgMoxNUjURz/60RjUzaMv3nnnnTjqqKPilltuiZdffjleeuml+NnPfhaHH3543H777RmetNwmT57c46M2Njdy5Mhobm5O50AAGRAJKBShAAQCKsrUIFHbbrttfPKTn+z2Ni0tLXH22WfHmDFjYu+9944pU6bEvHnzMjphNWyzzTZx5plnNvQxZ599ticsBEpNJKBwhALqTCCgskwNEvflL3+5zx+7zTbbxLbbbpvgaaqru8lBZzxhIVB2IgGFJBRQRwIBlWVqkIrjjjsupk6d2vDHbbPNNnHPPffEyJEjUzhV9YwbNy7+9m//tle3nThxYo/PFwFQdCIBhSUUUCcCAZVmapCa66+/Pj7zmc/0+vZjxoyJOXPmxMc//vEUT1U9vX00QaOPOgAoIpGAQhMKqAOBgMozNUhN+6MCbrzxxthzzz27vN1ee+0VV1xxRcyfPz/Gjx+f4Qmr4dRTT40PfehD3d5mp512is997nMZnQggPfI9hdceCiZPjnj//Q/eP3Pm+n/ecEPEALmLkhIIqDxTg9QNHDgwpk+fHtOnT4/58+fHU089FW+++Wa0tbXFbrvtFmPHjo1DDjlki49buHBh9octqW233TbefvvtvI8BkAmRgFIQCqgigYBaMDXI1Lhx42LcuHF5HwOAEvNtFaVhekCVCATUhqkBAJSKSECpCAVUgUBAbZgaAEDpiASUjlBAmQkE1IqpAQCUjkhAKQkFlJFAQO2YGgBA6YgElJZQQJkIBNSOqQEAlJJIQKkJBZSBQEAtmRoAQCmJBJSeUECRCQTUlqkBAJSSSEAlCAUUkUBAbZkaAEBpebwfldEeCiZPjnj//Q/eP3Pm+n/ecEPEAFmMjAgE1JqpwRYOPvjguPzyyzf5ebsxY8Zscm2ikAJAjpra2traer4Zm2tpaYnRo0dHRMSiRYti1KhROZ+Idvffv2UoiIiYPl0oIBsCAbX3xS+u/wV3c7/8ZcTxx2d/HgAomTy/3/TtEpVjekCeBAJqz9QAAEpNJKCShALyIBBAmBoAQMmJBFSWUECWBALYwKsaAECpiQRUmlBAFgQC2MDUAABKTySg8oQC0iQQwEZMDQCg9EQCakEoIA0CAWzG1AAASk8koDaEApIkEMBmTA0AoBJEAmpFKCAJAgF0wtQAACpBJKB2hAL6QyCALpgaAEAliATUklBAXwgE0AVTAwCoDJGA2hIKaIRAAN0wNQCAyhAJqDWhgN4QCKAHpgYAUBkiAbUnFNAdgQB6YGoAAJUiEkAIBXROIIBeMDUAgEoRCWADoYCNCQTQS6YGAFApIgFsRCggQiCAXjM1AIDKEQlgM0JBvQkE0ABTAwCoHJEAOiEU1JNAAA0yNQCAyhEJoAtCQb0IBNAgUwMAqCSRALohFNSDQAB9YGoAAJUkEkAPhIJqEwigj0wNAKCSRALoBaGgmgQC6CNTAwCoLJEAekkoqBaBAPrB1AAAKkskgAYIBdUgEEA/mRoAQGWJBNAgoaDcBALoJ1MDAKg0kQD6QCgoJ4EAEmBqAACVJhJAHwkF5SIQQEJMDQCg0kQC6AehoBwEAkiIqQEAVJ5IAP0kFBSbQAAJMjUAgMoTCSABQkExCQSQMFMDAKg8kQASIhQUi0AACTM1AIBaEAkgQUJBMQgEkAJTAwCoBZEAEiYU5EsggJSYGgBALYgEkAKhIB8CAaTE1AAAakMkgJQIBdkSCCBFpgYAUBsiAaRIKMiGQAApMzUAgNoQCSBlQkG6BAJImakBANSKSAAZEArSIRBABkwNAKBWRALIiFCQLIEAMmJqAAC1IhJAhoSCZAgEkBFTAwCoHZEAMiYU9I9AABkyNQCA2hEJIAdCQd8IBJAxUwMAqB2RAHIiFDRGIICMmRoAQC2JBJAjoaB3BALIgakBANSSSAA5Ewq6JxBATkwNAKCWRAIoAKGgcwIB5MTUAABqSySAghAKNiUQQI5MDQCgtkQCKBChYD2BAHJmagAAtSUSQMHUPRQIBJAzUwMAqDWRAAqorqFAIIACMDUAgFoTCaCg6hYKBAIoCFMDAKg1kQAKrC6hQCCAgjA1AIDaEwmg4KoeCgQCKBBTAwCoPZEASqCqoUAggIIxNQCA2hMJoCSqFgoEAigYUwMAIEQCKJWqhAKBAArI1AAACJEASqfsoUAggIIyNQAAQiSAUiprKBAIoKBMDQCADUQCKKmyhQKBAArM1AAA2EAkgBIrSygQCKDgTA0AgA1EAii5oocCgQAKztQAANiISAAVUNRQIBBACZgaAAAbEQmgIooWCgQCKAlTAwBgIyIBVEhRQoFAACVhagAAbEYkgIrJOxQIBFAipgYAwGZEAqigvEKBQAAlY2oAAGxGJICKyjoUCARQMqYGAEAnRAKosKxCgUAAJWRqAAB0QiSAiks7FAgEUFKmBgBAJ0QCqIG0QoFAACVlagAAdKESkeCVV16Jr371q3HAAQfE0KFDY8cdd4zx48fHt7/97Vi1alXex4NCaDQULF++PJ599tl44okn4tlnn43ly5dvcl0ggBIzNQAAulD6Pwk8+OCDccYZZ8Q777zT8b5Vq1bFvHnzYt68eTFz5sx46KGHYu+9987xlFAM7aFg8uSI99//4P0zZ67/5/XXt8Ujj8yJ733ve3HffffF2rVrO24zcODAaG5ujgsvvDBe/NCLcd4vzhMIoKxMDQCALjS1tbW19XyzYnr66afjiCOOiFWrVsWwYcPin/7pn+LYY4+N1atXxx133BE33nhjRESMHTs25s2bF8OGDUvsc7e0tMTo0aMjImLRokUxatSoxO4b0nb//VuGgoinYocdpsayZX/s+Q5GRkRzROz2wbsEAiiJ1taI3Xbb8pEEI0ZELFnikQQAUAB5fr9Z6rnB//yf/zNWrVoVgwYNiocffjguvfTSOPzww2PSpEnxwx/+ML71rW9FRMRzzz0X3/nOd3I+LRTHltODX0bEMb0LBBERb0bEzRHxwvqfCgRQIqYGAEA3ShsJ5s2bF3PmzImIiHPPPTcOP/zwLW5z8cUXxwEHHBAREd/97nfj/U3/2hRqrT0UDBr0VKx/WMC7jd3B+xFxR8QXdvmCQABlYmoAAHSjtJHgvvvu63j7nHPO6fQ2AwYMiKlTp0ZExLJlyzqiArDeZz7TFrvtNjUaDgTt3o944ntPJHomIEVe1QAA6EFpI8Fvf/vbiIgYOnRoHHLIIV3ebsKECR1vP/roo6mfC8pkzpw58corvZwYdOGZZ56JuXPnJnQiIFWmBgBAD0obCRYsWBAREfvuu28M6uYPNmPHjt3iY4D1vv/97xfqfoCUmRoAAD0o5V8bvPfee7F06dKIiB6f5XGHHXaIoUOHxrvvvhuLFi3q9edoaWnp9vqSJUt6fV9QRMuXL4977703kfu65557Yvny5TF8+PBE7g9IgakBANALpYwEK1as6Hi7Ny9r2B4JVq5c2evP0f5yE1BVLS0tsXbt2kTua+3atbF48WKRAIrM1AAA6IVSzg3ee++9jrcHDx7c4+233nrriIhYvXp1ameCsmkkmvXGxvEOKCBTAwCgF0r5VwdDhgzpeHvNmjU93v4vf/lLRERss802vf4cPU0TlixZEuPHj+/1/UHR9OZROI3YbrvtEr0/IEGmBgBAL5UyEmz8zUhv/jb03XfXv7xbI98U9fRcB1B2o0aNioEDByYyORg0aFDsvvvuCZwKSIWpAQDQS6WcGwwZMiRGjBgRET0/weCyZcs6IoHnGYAPDB8+PJqbmxO5r+bmZs9HAEVmagAA9FIpI0FExAEHHBAREc8//3y0trZ2ebvnnntui48B1rvwwgsLdT9ACkwNAIAGlDYSHHXUURGxfkrw5JNPdnm7uXPndrx95JFHpn4uKJMXP/RixMj+3ccOOxwYRx89IZkDAckzNQAAGlDaSPDZz3624+2bb76509usW7cubrnlloiI2H777ePYY4/N4mhQCjf9x01x3i/Oi2iOiK36ei9DY9myH8cXv9gU69YleDggOaYGAEADShsJxo8fH0cffXRERPzoRz+Kxx9/fIvbXH311bFgwYKIiLjoootiq636/J0QVMpN/3FTTP/59GiLtojdIuLvog+hYGhE3BsRH42ZMyMuuCCEAigaUwMAoEGljQQREddee21ss8020draGieeeGJ84xvfiH//93+P2bNnxwUXXBCXXHJJRETst99+cfHFF+d8WiiGTQJBu30ivvD/fSH++q//ulf3scceB8agQY9ExAkd7xMKoIBMDQCABpU6EvyP//E/4qc//WkMHz48Vq5cGZdeemkcfvjhMWnSpPjhD38YEesDwYMPPug13CG6CAQRcelRl8bMC2bG/PnzY/bs2fH5z38+Bg4cuMltBg0aFJMnT47Zs2fHwoX/GXfd9dHY/ME5QgEUjKkBANCgpra2traeb1ZsL7/8clx77bXx4IMPRktLSwwePDj23XffmDx5cnzpS1+KbbfdNvHP2dLS0vGSiosWLYpRo0Yl/jkgSd0FgisnXRlNTU2bvH/58uWxePHiWLFiRWy33Xax++67b/Eyh/ffv/57jfff3/RzTZ8eccMNEQNKnSGh5FpbI3bbbctHEowYEbFkiUcSAECB5fn9ZiUiQR5EAsqk0UDQCKEACurXv444/vgt33/++ev/zwkAFFae32/64ztUXJqBICLi5JPXP6LZ9AAKxtQAAOgDkQAqLO1A0E4ogILxqgYAQB+JBFBRWQWCdkIBFIhXNQAA+kgkgArKOhC0EwqgIEwNAIA+EgmgYvIKBO2EAsiZqQEA0A8iAVRI3oGgnVAAOTI1AAD6QSSAiihKIGgnFEBOTA0AgH4QCaACihYI2gkFkDFTAwCgn0QCKLmiBoJ2QgFkyNQAAOgnkQBKrOiBoJ1QABkxNQAA+kkkgJIqSyBoJxRAykwNAIAEiARQQmULBO2EAkiRqQEAkACRAEqmrIGgnVAAKTE1AAASIBJAiZQ9ELQTCiBhpgYAQEJEAiiJqgSCdkIBJMjUAABIiEgAJVC1QNBOKICEmBoAAAkRCaDgqhoI2gkF0E+mBgBAgkQCKLCqB4J2QgH0g6kBAJAgkQAKqi6BoJ1QAH1kagAAJEgkgAKqWyBoJxRAg0wNAICEiQRQMHUNBO2EAmiAqQEAkDCRAAqk7oGgnVAAvWRqAAAkTCSAghAINiUUQA9MDQCAFIgEUAACQeeEAuiGqQEAkAKRAHImEHRPKIAumBoAACkQCSBHAkHvCAWwGVMDACAlIgHkRCBojFAAGzE1AABSIhJADgSCvhEKYANTAwAgJSIBZEwg6B+hgNozNQAAUiQSQIYEgmQIBdSaqQEAkCKRADIiECRLKKC2TA0AgBSJBJABgSAdQgG1Y2oAAKRMJICUCQTpEgqoFVMDACBlIgGkSCDIhlBAbZgaAAApEwkgJQJBtoQCKs/UAADIgEgAKRAI8iEUUGmmBgBABkQCSJhAkC+hgMoyNQAAMiASQIIEgmIQCqgcUwMAICMiASREICgWoYBKMTUAADIiEkACBIJiEgqoDFMDACAjIgH0k0BQbEIBpWdqAABkSCSAfhAIykEooNRMDQCADIkE0EcCQbkIBZSWqQEAkCGRAPpAICgnoYDSMTUAADImEkCDBIJyEwooFVMDACBjIgE0QCCoBqGA0jA1AAAyJhJALwkE1SIUUHimBgBADkQC6AWBoJqEAgrN1AAAyIFIAD0QCKpNKKCwTA0AgByIBNANgaAehAIKx9QAAMiJSABdEAjqRSigUEwNAICciATQCYGgnoQCCsPUAADIiUgAmxEI6k0oIHemBgBAjkQC2IhAQIRQQM5MDQCAHIkEsIFAwMaEAnJjagAA5EgkgBAI6JxQQOZMDQCAnIkE1J5AQHeEAjJlagAA5EwkoNYEAnpDKCAzpgYAQM5EAmpLIKARQgGpMzUAAApAJKCWBAL6QiggVaYGAEABiATUjkBAfwgFpMbUAAAoAJGAWhEISIJQQOJMDQCAghAJqA2BgCQJBSTK1AAAKAiRgFoQCEiDUEBiTA0AgIIQCag8gYA0CQX0m6kBAFAgIgGVJhCQBaGAfjE1AAAKRCSgsgQCsiQU0GemBgBAgYgEVJJAQB6EAhpmagAAFIxIQOUIBORJKKAhpgYAQMGIBFSKQEARCAX0mqkBAFAwIgGVIRBQJEIBPTI1AAAKSCSgEgQCikgooFumBgBAAYkElJ5AQJEJBXTJ1AAAKCCRgFITCCgDoYAtmBoAAAUlElBaAgFlIhSwCVMDAKCgRAJKSSCgjIQCOpgaAAAFJRJQOgIBZSYUYGoAABSZSECpCARUgVBQc6YGAECBiQSUhkBAlQgFNWZqAAAUmEhAKQgEVJFQUEOmBgBAwYkEFJ5AQJUJBTVjagAAFJxIQKEJBNSBUFAjpgYAQMGJBBSWQECdCAU1YGoAAJSASEAhCQTUkVBQcaYGAEAJiAQUjkBAnQkFFWZqAACUgEhAoQgEIBRUkqkBAFASIgGFIRDAB4SCijE1AABKQiSgEAQC2JJQUCGmBgBASYgE5E4ggK4JBRVgagAAlIhIQK4EAuiZUFBypgYAQImIBORGIIDeEwpKzNQAACgRkYBcCATQOKGghEwNAICSEQnInEAAfScUlIypAQBQMiIBmRIIoP+EghIxNQAASkYkIDMCASRHKCgBUwMAoIREAjIhEEDyhIKCMzUAAEpIJCB1AgGkRygoMFMDAKCERAJSJRBA+oSCAjI1AABKSiQgNQIBZEcoKBhTAwCgpEQCUiEQQPaEggIxNQAASkokIHECAeRHKCgAUwMAoMREAhIlEED+hIKcmRoAACUmEpAYgQCKQyjIkakBAFBiIgGJEAigeISCHJgaAAAlJxLQbwIBFJdQkDFTAwCg5EQC+kUggOITCjJkagAAlJxIQJ8JBFAeQkEGTA0AgAoQCegTgQDKRyhImakBAFABIgENEwigvISCFJkaAAAVIBLQEIEAyk8oSIGpAQBQESIBvSYQQHUIBQkzNQAAKkIkoFcEAqgeoSBBpgYAQEWIBPRIIIDqEgoSYGoAAFSISEC3BAKoPqGgn0wNAIAKEQnokkAA9SEU9IOpAQBQISIBnRIIoH6Egj4wNQAAKkYkYAsCAdSXUNAgUwMAoGJEAjYhEABCQQNMDQCAihEJ6CAQAO2Egl4wNQAAKkgkICIEAmBLQkEPTA0AgAoSCRAIgC4JBd0wNQAAKkgkqDmBAOiJUNAJUwMAoKJEghoTCIDeEgo2Y2oAAFSUSFBTAgHQKKFgI6YGAEBFiQQ1JBAAfSUUhKkBAFBpIkHNCARAf9U+FJgaAAAVJhLUiEAAJKXWocDUAACoMJGgJgQCIGm1DAWmBgBAxYkENSAQAGmpXSgwNQAAKk4kqDiBAEhbrUKBqQEAUHEiQYUJBEBWahEKTA0AgBoQCSpKIACyVvlQYGoAANSASFBBAgGQl0qHAlMDAKAGRIKKEQiAvFUyFJgaAAA1IRJUiEAAFEXlQoGpAQBQEyJBRQgEQNFUKhSYGgAANSESVIBAABRVJUKBqQEAUCMiQckJBEDRlT4UmBoAADUiEpSYQACURalDgakBAFAjIkFJCQTkbdasWdHU1NTxY9asWR3X5syZs8m1GTNm5HbO3tj832XjMy9cuHCLaxM9xLxPShkKTA0AgJoRCUpIIADKqnShwNQAAKgZkaBkBAKg7EoVCkwNAICaEQlKRCAAqqIUocDUAACoIZGgJAQCoGoKHwpMDQCAGhIJSkAgAKqq0KHA1AAAqCGRoOAEAqDqChkKTA0AgJoSCQpMIADqonChwNQAAKgpkaCgBAKgbgoVCkwNAICaEgkKSCAA6qoQocDUAACoMZGgYAQC6uSFF16IAQMGRFNTU6c/vvCFLzR0f6eddlqX9zVgwIB48cUXU/o3IUm5hwJTAwCgxkSCAhEIqJt99tknJk2a1OX1u+66K1avXt2r+1qxYkXcf//9XV4//vjjY++99274jOQj11BgagAA1JhIUBACAXV1/vnnd3ltxYoVcd999/XqfnoKCt19Hoopl1BgagAA1JxIUAACAXXW3NwcO++8c5fXb7nlll7dz6233trltV122SVOPvnkhs9G/jIPBaYGAEDNiQQ5Ewiou6222irOPvvsLq//8pe/jNdee63b+1i0aFHMnTu3y+vTpk2LrTb/LpPSyDQUmBoAADUnEuRIIID1zjvvvC6/3teuXRs/+clPuv342267LdZ18Z1iU1NTnHfeef0+I/nKJBSYGgAAiAR5EQjgAx/+8IdjwoQJXV7vaXLQ3dTguOOOi3322afPZ6M4Ug8FpgYAACJBHgQC2FJ3Tyz49NNPx/z58zu99uSTT8azzz7bp/ulfFINBaYGAAAiQdYEAujcKaecEiNGjOjyelePJujuUQQ777xzfPazn+3v0SiYVEKBqQEAQESIBJkSCKBrgwcPjqlTp3Z5/bbbbou1a9du8r7W1ta4/fbbu/wYT1hYXYmHAlMDAICIEAkyIxBAz7qbBixZsiR+/etfb/K+hx9+ON54441Ob+8JC6sv0VBgagAAEBEiQSYEAuid/fffP4455pgur28+OehuajBp0qTYd999EzsbxZRIKDA1AADoIBKkTCCAxnT3t//33ntvrFy5MiIiVqxYEffff3+Xt/WEhfXR71BgagAA0EEkSJFAAI37/Oc/HzvuuGOn11atWhV33313RETcddddsXr16k5vN3LkSE9YWDP9CgWmBgAAHUobCVauXBmPPPJIfPvb344pU6bEXnvtFU1NTdHU1BRjxozJ+3gCAfTRkCFD4qyzzuryevvkoKtXO4hY/4SFgwcPTvxsFFujoWD58ohn/7M1nvjpS/FsHBDLY7sPLpoaAAA1VdrHUX7605+OOXPm5H2MTgkE0D/nn39+XHvttZ1emzNnTvzud7+LuXPndnrdExbWW3somDw54v33P3j/zJnr/3n99RGPPBLxve9F3HdfxNq1gyLi/xcREQOjNZrj3rgwvh8Tm/eLJlMDAKCGSvtIgra2D74B32GHHeKEE06IYcOG5Xii9QQC6L+PfOQjceSRR3Z6bd26dXH66adv8mvAxiZOnBgf/vCH0zweBdfdIwpGjoyYNCni7rsjNntFzVgbg+KumByTYnaM++XV8dRT2Z0ZAKAoShsJTj/99Ljtttviz3/+c/z3f/93PPzww7HTTjvleiaBAJLT3RMPvvzyy11eu+CCC9I4DiXTVShYtqx3H//HhcPimGMifvnL5M8GAFBkpY0E559/fpx++umFeYkzgQCSNXny5Nh+++0b+piRI0dGc3NzOgeidNpDQV9XA+++G9HcHB5RAADUSmkjQZHc8cwdAgEkbJtttokzzzyzoY85++yzPWEhm/jMZyJ2263vH//uuxFnnx3RxboFAKByRIIE/K+H/5dAACnobnLQGU9YyObmzIl45ZX+3cczz0R08TyZAACVIxKkQCCAZIwbNy7+9m//tle3nThxYuy3334pn4iy+f73i3U/AABF5/WdutDS0tLt9SVLlnT6foEAknX++efHv//7v/fqdrCx5csj7r03mfu655719zd8eDL3BwBQVCJBF0aPHt3wxwgEkLxTTz01vvKVr8Q777zT5W122mmn+NznPpfhqSiDlpYtX+awr9aujVi8WCQAAKpPJEiIQADp2HbbbePtt9/O+xiU0MqVyd7fihXJ3h8AQBGlGglaW1tjq81fpLoPbr755pg2bVr/D9SARYsWdXt9yZIlMX78+IiI+NL4LwkEAAUzbFiy97fddsneHwBAEXkkQRdGjRrV69tecuQlAgFAwYwaFTFwYDKTg0GDInbfvf/3AwBQdKlGgkGDBsWCBQv6fT+77rprAqdJj0AAUDzDh0c0N0fcdVf/76u52fMRAAD1kPojCcaOHZv2pwCATl14YTKR4MIL+38fAABlMCDvAwBAWiZOjPjrv+7ffeywQ8TRRydyHACAwhMJAKispqaIW26JGDq07/exbFnEF78YsW5dcucCACgqkQCASvvoRyPuvbd/oWDmzIgLLhAKAIDqK+2rGzz//PPx6KOPbvK+lRteFHvlypUxa9asTa59/OMfj7/6q7/K6ngAFMgJJ0Q88kjE1KkRf/xjz7ffY4+IV1+NaG394H0zZ67/5w03RAyQ2AGAiiptJHj00UfjnHPO6fTaW2+9tcW12bNniwQANfbRj0bMnx8xd27E9763/tEFG7884qBB61/F4MILIyZMiPj5zyMmT454//0PbiMUAABVV9pIAOTr4IMPjssvv3yTn7cbM2bMJtcmTpyY4cmga01N65/McOLEiOXLIxYvjlixImK77SJ2333Tlzk8+eSIn/1MKAAA6qWpra2tLe9DlFFLS0uMHj06IiIWLVoUo0aNyvlEAKTh/vu3DAUREdOnCwUAQDry/H7TH20AoBvtjyjYaqtN3+/JDAGAKhIJAKAHQgEAUBciAQD0glAAANSBSAAAvSQUAABVJxIAQAOEAgCgykQCAGiQUAAAVJVIAAB9IBQAAFUkEgBAHwkFAEDViAQA0A9CAQBQJSIBAPSTUAAAVIVIAAAJEAoAgCoQCQAgIUIBAFB2IgEAJEgoAADKTCQAgIQJBQBAWYkEAJACoQAAKCORAABSIhQAAGUjEgBAioQCAKBMRAIASJlQAACUhUgAABkQCgCAMhAJACAjQgEAUHQiAQBkSCgAAIpMJACAjAkFAEBRiQQAkAOhAAAoIpEAAHIiFAAARSMSAECOhAIAoEhEAgDImVAAABSFSAAABSAUAABFIBIAQEEIBQBA3kQCACgQoQAAyJNIAAAFIxQAAHkRCQCggIQCACAPIgEAFJRQAABkTSQAgAITCgCALIkEAFBwQgEAkBWRAABKQCgAALIgEgBASQgFAEDaRAIAKBGhAABIk0gAACUjFAAAaREJAKCEhAIAIA0iAQCUlFAAACRNJACAEhMKAIAkiQQAUHJCAQCQFJEAACpAKAAAkiASAEBFCAUAQH+JBABQIUIBANAfIgEAVIxQAAD0lUgAABUkFAAAfSESAEBFCQUAQKNEAgCoMKEAAGiESAAAFScUAAC9JRIAQA0IBQBAb4gEAFATQgEA0BORAABqRCgAALojEgBAzQgFAEBXRAIAqCGhAADojEgAADUlFAAAmxMJAKDGhAIAYGMiAQDUnFAAALQTCQAAoQAAiAiRAADYQCgAAEQCAKCDUAAA9SYSAACbEAoAoL5EAgBgC0IBANSTSAAAdEooAID6EQkAgC4JBQBQLyIBANAtoQAA6kMkAAB6JBQAQD2IBABArwgFAFB9IgEA0GtCAQBUm0gAADREKACA6hIJAICGCQUAUE0iAQDQJ0IBAFSPSAAA9JlQAADVIhIAAP0iFABAdYgEAEC/CQUAUA0iAQCQCKEAAMpPJAAAEiMUAEC5iQQAQKKEAgAoL5EAAEicUAAA5SQSAACpEAoAoHxEAgAgNUIBAJSLSAAApEooAIDyEAkAgNQJBQBQDiIBAJAJoQAAik8kAAAyIxQAQLGJBABApoQCACgukQAAyJxQAADFJBIAALkQCgCgeEQCACA3QgEAFItIAADkSigAgOIQCQCA3AkFAFAMIgEAUAhCAQDkTyQAAApDKACAfIkEAEChCAUAkB+RAAAoHKEAAPIhEgAAhSQUAED2RAIAoLCEAgDIlkgAABSaUAAA2REJAIDCEwoAIBsiAQBQCkIBAKRPJAAASkMoAIB0iQQAQKkIBQCQHpEAACgdoQAA0iESAAClJBQAQPJEAgCgtIQCAEiWSAAAlJpQAADJEQkAgNITCgAgGSIBAFAJQgEA9J9IAABUhlAAAP0jEgAAlSIUAEDfiQQAQOUIBQDQNyIBAFBJQgEANE4kAAAqSygAgMaIBABApQkFANB7IgEAUHlCAQD0jkgAANSCUAAAPRMJAIDaEAoAoHsiAQBQK0IBAHRNJAAAakcoAIDOiQQAQC0JBQCwJZEAAKgtoQAANiUSAAC1JhQAwAdEAgCg9oQCAFhPJAAACKEAACJEAgCADkIBAHUnEgAAbEQoAKDORAIAgM0IBQDUlUgAANAJoQCAOhIJAAC6IBQAUDciAQBAN4QCAOpEJAAA6IFQAEBdiAQAAL0gFABQByIBAEAvCQUAVJ1IAADQAKEAgCoTCQAAGiQUAFBVIgEAQB8IBQBUkUgAANBHQgEAVSMSAAD0g1AAQJWIBAAA/SQUAFAVIgEAQAKEAgCqQCQAAEiIUABA2YkEAAAJEgoAKDORAAAgYUIBAGUlEgAApEAoAKCMRAIAgJQIBQCUjUgAAJAioQCAMhEJAABSJhQAUBYiAQBABoQCAMpAJAAAyIhQAEDRiQQAABkSCgAoMpEAACBjQgEARSUSAADkQCgAoIhEAgCAnAgFABSNSAAAkCOhAIAiEQkAAHImFABQFCIBAEABCAUAFIFIAABQEEIBAHkTCQAACkQoACBPIgEAQMEIBQDkRSQAACggoQCAPIgEAAAFJRQAkDWRAACgwIQCALIkEgAAFJxQAEBWShsJXnnllfjBD34Qp556auy///4xdOjQGDJkSIwaNSpOPvnkuP3226O1tTXvYwIAJEIoACALTW1tbW15H6JRl112WVx55ZXR09EPPfTQuPvuu2OPPfZI/AwtLS0xevToiIhYtGhRjBo1KvHPAQCwufvvj5g8OeL99zd9//TpETfcEDGgtH8FBEC7PL/fLOVvI6+++mq0tbXF0KFD48wzz4ybb745Hn300fj9738ft956axx22GEREfH73/8+jj/++Fi5cmXOJwYASIZHFACQplJGgp122in+5V/+JZYsWRK33nprTJs2LY488sg45JBD4swzz4zHH388pkyZEhERf/7zn+Oaa67J+cQAAMkRCgBISynnBr3x1ltvxW677RZr1qyJgw46KJ5++ulE79/cAADIm+kBQDWZG6Rgp512ioMOOigiIl544YWcTwMAkDyPKAAgaZWNBBERf/nLXyIiYoCMDgBUlFAAQJIq+93zG2+8EQsWLIiIiLFjx+Z8GgCA9AgFACRlUN4HSMtVV10Vra2tEREdT2LYiJaWlm6vL1q0qOPtJUuWNHz/AABJOuSQiB/8IOKLX4zY8EegiFgfCt59N+Kb3/QcBQBlsfH3mK0b/6KegUo+ceH/+3//L4466qhobW2NUaNGxX/913/Ftttu29B9NDU1pXQ6AAAA6J0nnngiDjvssMw+X+V68uuvvx6f//zno7W1NZqamuLHP/5xw4EAAAAAiuD111/P9POlOjdobW2NrTYfx/XBzTffHNOmTevxditWrIhPfepTHVOBr3/96zFp0qQ+fc6N5wSdeemll+KYY46JiIjf/e53HS9PAVWxZMmSGD9+fESsr5e77rprzieCZPkap+p8jVN1vsapskWLFsURRxwREdk/x15lnpPgvffei5NPPjmefPLJiIj4h3/4h/ja177W5/tr5HUoR48enenrVkLWdt11V1/jVJqvcarO1zhV52ucKhsyZEimny/VSDBo0KCOVxjoj56qYGtra0yZMiVmz54dERHTp0+Pq6++ut+fFwAAAOok9UcSpP3QiHXr1sVZZ50Vv/jFLyIi4tRTT40bbrgh1c8JAAAAVVT6Jy684IIL4o477oiIiJNOOiluvfXWGOD1fQAAAKBhpf5u+h/+4R9i5syZERFx3HHHxV133ZXIEyUCAABAHZU2EsyYMSOuueaaiIg44ogj4v7774+tt94651MBAABAeZXy1Q2uu+66uOKKKyIiYvfdd49vfetb8dJLL3X7Mfvvv79HGQAAAEA3ShkJ7r777o63Fy9eHEcddVSPH/PSSy/FmDFjUjwVAAAAlFspI0ERjBo1Ktra2vI+BqTG1zhV52ucqvM1TtX5GqfK8vz6bmrz/ywAAAAgSvzEhQAAAECyRAIAAAAgIkQCAAAAYAORAAAAAIgIkQAAAADYQCQAAAAAIkIkAAAAADYQCQAAAICIEAlSs3LlynjkkUfi29/+dkyZMiX22muvaGpqiqamphgzZkzex4NuvfLKK/HVr341DjjggBg6dGjsuOOOMX78+Pj2t78dq1atyvt40CdvvPFGPPDAA3HZZZfFJz7xiRgxYkTHr8vTpk3L+3jQb0899VR8/etfj0984hMxevTo2HrrrWPYsGGx3377xbRp0+K3v/1t3keEPlu+fHnccccdcfHFF8eECRNi3333jQ996EMxePDg2HnnnWPixInxrW99K9566628jwqJu+SSSzr+zNLU1BRz5sxJ9fM1tbW1taX6GWrq2GOP7fJ/vD333DMWLlyY6Xmgtx588ME444wz4p133un0+v777x8PPfRQ7L333hmfDPqnqampy2tnn312zJo1K7vDQMImTJgQjzzySI+3O+uss2LmzJkxePDgDE4FyfnVr34VJ5xwQo+3GzFiRPzrv/5rfOxjH8vgVJC+p59+Og499NBobW3teN/s2bNj4sSJqX3OQandc81t3F522GGHOPTQQ+Pxxx+PlStX5ngq6N7TTz8dU6ZMiVWrVsWwYcPin/7pn+LYY4+N1atXxx133BE33nhj/Nd//Vd86lOfinnz5sWwYcPyPjL0yejRo+OAAw6Ihx9+OO+jQCIWL14cERG77bZbTJ48OY4++ujYY489Yu3atfH444/H1VdfHYsXL45bb701Wltb4yc/+UnOJ4bGjR49Oo499tg45JBDYvTo0bHrrrvGunXroqWlJe6666645557YunSpfGZz3wm5s2bFwcddFDeR4Z+WbduXZx33nnR2toaO++8c7zxxhuZfF6PJEjJD3/4wxg2bFiMHz8+9t1334iIGDNmTLz88sseSUBhtT8CZtCgQfHII4/E4Ycfvsn1q666Ki655JKIiLjiiivisssuy+OY0CeXX355HHbYYXHYYYfFLrvsEgsXLoy99torIjySgPI76aSTYurUqXHKKafEwIEDt7i+dOnSOPLII+NPf/pTREQ88sgjcfTRR2d9TOiztWvXdvq1vbH77rsvmpubIyLic5/7XNx9991ZHA1S893vfje+8pWvxNixY6O5uTm+8Y1vRET6jyQQCTIkElBk8+bNi/Hjx0dExAUXXBDXX3/9FrdZt25dHHjggbFgwYLYYYcd4vXXX4+tttoq66NCIkQC6uaBBx6IT3/60xER8eUvfzmuvfbanE8EyTvggAPiueeeixEjRsSbb76Z93GgzxYtWhQf+chHYuXKlTF79uyYM2dOXHHFFRGRfiTwxIVARKyv7+3OOeecTm8zYMCAmDp1akRELFu2LPUnTQEgORv/gfKFF17I7yCQoqFDh0ZExHvvvZfzSaB/Lrzwwli5cmWcffbZqQaBzogEQEREx7NeDx06NA455JAubzdhwoSOtx999NHUzwVAMtasWdPx9oAB/ghI9SxYsCD+8Ic/RETE2LFj8z0M9MOdd94ZDzzwQOy4445x1VVXZf75/Q4BRMT631gjIvbdd98YNKjr5zTd+Dfd9o8BoPjmzp3b8bZvoKiKVatWxZ///Of4zne+E8cee2ysXbs2IiIuuuiinE8GffP22293fP3+y7/8S4wcOTLzM3h1AyDee++9WLp0aUREjBo1qtvb7rDDDjF06NB49913Y9GiRVkcD4B+WrduXXzzm9/s+PmUKVNyPA30z6xZs7qcRkZEfPWrX40zzjgjwxNBci655JJ47bXX4ogjjohzzz03lzOIBECsWLGi4+3evKxheyTwkp4A5XDNNdfEE088ERERzc3Nceihh+Z8IkjewQcfHNdff338zd/8Td5HgT559NFHY+bMmTFo0KC4/vrro6mpKZdzmBsAmzy5z+DBg3u8/dZbbx0REatXr07tTAAkY+7cufG1r30tIiJ23nnn+MEPfpDziaB/PvvZz8b8+fNj/vz58cQTT8Ttt98ezc3N8Yc//CHOOOOMeOCBB/I+IjRszZo1cf7550dbW1t85StfiXHjxuV2llpHgtbW1mhqaur3Dy+bRdkNGTKk4+2Nn9iqK3/5y18iImKbbbZJ7UwA9N8f//jHaG5ujtbW1th6663jzjvvjF122SXvY0G/bL/99nHggQfGgQceGIcddlj83d/9Xdxzzz1xyy23xIsvvhgnn3yyP59TOl//+tdjwYIFsccee8Tll1+e61lqHQmA9bbbbruOt3szIXj33XcjonfTBADy8dJLL8WJJ54Yy5Yti4EDB8btt9++ySvUQNWcddZZMXny5Fi3bl186UtfimXLluV9JOiV5557Lr7xjW9ERMR1113X8VKeean1cxIMGjQokWdn33XXXRM4DeRnyJAhMWLEiFi6dGm0tLR0e9tly5Z1RILRo0dncTwAGvTqq6/G8ccfH6+++mo0NTXFTTfdFM3NzXkfC1J38sknx5133hnvvvtu/Nu//VucfvrpeR8JenTNNdfEmjVrYu+9945Vq1bFHXfcscVtnnnmmY63f/Ob38Rrr70WERGf/vSnE48KtY4EEV4CCNodcMAB8dvf/jaef/75aG1t7fJlEJ977rlNPgaAYlm6dGmccMIJ8eKLL0bE+r+Vmjp1as6ngmxs/HJxL7/8co4ngd5rn/K++OKLcdppp/V4+//9v/93x9svvfRS4pHA3ACIiIijjjoqItZPCZ588skub7fx62wfeeSRqZ8LgN5755134mMf+1g8++yzERHxzW9+M/7+7/8+51NBdhYvXtzxtlkk9I1IAETE+mcKbnfzzTd3ept169bFLbfcEhHrnzTo2GOPzeJoAPTCqlWr4lOf+lQ89dRTERHxz//8z/GP//iPOZ8KsvWzn/2s4+08nx0eGjFr1qxoa2vr9sfGT2Y4e/bsjvePGTMm8fOIBEBERIwfPz6OPvroiIj40Y9+FI8//vgWt7n66qs7nsfjoosuiq222irTMwLQuTVr1kRzc3M89thjEbH+1+grr7wy51NBcmbNmrXJSzZ35pprromHHnooIiLGjBnT8ShJoDG1f06CtDz//PPx6KOPbvK+9meNX7ly5RYvy/Lxj388/uqv/iqr40Gnrr322jjyyCNj9erVceKJJ8all14axx57bKxevTruuOOO+OEPfxgREfvtt19cfPHFOZ8WGvPoo4/G888/3/HzpUuXdrz9/PPPb/Hr8rRp0zI6GfTfaaedFg8//HBEREyaNCnOPffcTZ7kanODBw+O/fbbL6vjQb/NmDEjLr744jjllFPiqKOOin322SeGDRsWK1asiPnz58dtt93WEckGDx4cN954Y5fPrwR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"text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 511, "width": 516 } }, "output_type": "display_data" } ], "source": [ "ax = ut.plotSetup(-1,4,-2,3,(6,6))\n", "ax.set_aspect('equal')\n", "# ut.noAxes(ax)\n", "u = np.array([2, 2])\n", "v = np.array([1, -1])\n", "plt.plot([v[0],u[0]],[v[1],u[1]],'r-',lw=2)\n", "# v\n", "ut.plotLinEqn(u[0], u[1], 0, '-', 'b')\n", "ut.plotLinEqn(v[0], v[1], 0, '-', 'g')\n", "ax.text(v[0]/2-0.5,v[1]/2-0.5,r'$\\Vert\\bf v\\Vert$',size=16)\n", "ut.plotVec(ax,v,'b')\n", "# u\n", "ut.plotVec(ax,u,'g')\n", "ax.text(u[0]/2-.75,u[1]/2,r'$\\Vert\\bf u\\Vert$',size=16)\n", "# origin\n", "ut.plotVec(ax, np.array([0, 0]), 'k')\n", "#\n", "mm = (u + v) / 2\n", "ax.text(mm[0]+0.3,mm[1],r'$\\Vert\\bf u - v\\Vert$',size=16);" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "So the blue and green lines are perpendicular if and only if:\n", "\n", "$$ \\Vert \\mathbf{u} - \\mathbf{v} \\Vert^2 = \\Vert \\mathbf{u} \\Vert^2 + \\Vert \\mathbf{v} \\Vert^2$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "Let's see what this implies from an algebraic standpoint. " ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "First let's simplify the expression for squared distance from $\\mathbf{u}$ to $\\mathbf{v}$:\n", "\n", "$$[\\mbox{dist}(\\mathbf{u},\\mathbf{v})]^2 = \\Vert\\mathbf{u}-\\mathbf{v}\\Vert^2$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "$$ = (\\mathbf{u}-\\mathbf{v})^T(\\mathbf{u}-\\mathbf{v})$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "$$ = (\\mathbf{u}^T-\\mathbf{v}^T)(\\mathbf{u}-\\mathbf{v})$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "$$ = \\mathbf{u}^T(\\mathbf{u}-\\mathbf{v}) - \\mathbf{v}^T(\\mathbf{u}-\\mathbf{v})$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "$$ = \\mathbf{u}^T\\mathbf{u} - \\mathbf{u}^T\\mathbf{v} - \\mathbf{v}^T\\mathbf{u} + \\mathbf{v}^T\\mathbf{v}$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "Now, remember that inner product is symmetric, ie, $\\mathbf{u}^T\\mathbf{v} = \\mathbf{v}^T\\mathbf{u}$, so\n", "\n", "$$ = \\mathbf{u}^T\\mathbf{u} + \\mathbf{v}^T\\mathbf{v} - 2\\mathbf{u}^T\\mathbf{v}$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "$$ = \\Vert\\mathbf{u}\\Vert^2 + \\Vert\\mathbf{v}\\Vert^2 - 2\\mathbf{u}^T\\mathbf{v}$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "Now, let's go back to the Pythagorean Theorem. \n", "\n", "$ \\mathbf{u}$ and $ \\mathbf{v} $ are perpendicular if and only if:\n", "\n", "$$ \\Vert \\mathbf{u} - \\mathbf{v} \\Vert^2 = \\Vert \\mathbf{u} \\Vert^2 + \\Vert \\mathbf{v} \\Vert^2$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "But we've seen that this means:\n", "\n", "$$ \\Vert\\mathbf{u}\\Vert^2 + \\Vert\\mathbf{v}\\Vert^2 - 2\\mathbf{u}^T\\mathbf{v}= \\Vert \\mathbf{u} \\Vert^2 + \\Vert \\mathbf{v} \\Vert^2$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "So now we can define perpendicularity in $\\mathbb{R}^n$:\n", "\n", "__Definition.__ Two vectors $\\mathbf{u}$ and $\\mathbf{v}$ in $\\mathbb{R}^n$ are __orthogonal__ to each other if $\\mathbf{u}^T\\mathbf{v} = 0.$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As you can see, we have introduced a new term for this notion: __orthogonal__.\n", "\n", "So when we are referring to vectors, __orthogonal__ means the same thing as __perpendicular__." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "``` {toggle}\n", "Question Time! Q20.2\n", "```" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## The Angle Between Two Vectors" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "There is an important connection between the inner product of two vectors and the __angle__ between them.\n", "\n", "This connection is very useful (eg, in thinking about data mining operations)." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "We start from the __law of cosines:__\n", "\n", "$$ c^2 = a^2 + b^2 - 2ab\\cos\\theta$$" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "hide_input": true, "tags": [ "remove-input" ] }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 482, "width": 950 } }, "output_type": "display_data" } ], "source": [ "ax = ut.plotSetup(-6,6,-1,4,(12,6))\n", "u = np.array([4.,1])\n", "v = np.array([-4.,3])\n", "pt = u + v\n", "plt.plot([u[0],v[0]],[u[1],v[1]],'b-',lw=2)\n", "plt.plot([0,u[0]],[0,u[1]],'b-',lw=2)\n", "plt.plot([0,v[0]],[0,v[1]],'b-',lw=2)\n", "m = (u-v)/2.0\n", "mm = v + m\n", "ax.text(mm[0]+0.25,mm[1]+0.25,r'${\\bf c}$',size=16)\n", "ax.text(2,0.15,r'${\\bf a}$',size=16)\n", "ax.text(-3,1,r'${\\bf b}$',size=16)\n", "ax.annotate('', xy=(0.2*v[0], 0.2*v[1]), xycoords='data',\n", " xytext=(0.3*u[0], 0.3*u[1]), textcoords='data',\n", " size=15,\n", " #bbox=dict(boxstyle=\"round\", fc=\"0.8\"),\n", " arrowprops={'arrowstyle': 'simple',\n", " 'fc': '0', \n", " 'ec': 'none',\n", " 'connectionstyle' : 'arc3,rad=0.5'},\n", " )\n", "ax.text(0.9,0.8,r'$\\theta$',size=20)\n", "plt.axis('off');" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "Now let's interpret this law in terms of vectors $\\mathbf{u}$ and $\\mathbf{v}$.\n", "\n", "Once again, it is the angle that these vectors make at the origin that we are concerned with:\n" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "hide_input": true, "tags": [ "remove-input" ] }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 496, "width": 964 } }, "output_type": "display_data" } ], "source": [ "ax = ut.plotSetup(-6,6,-1,4,(12,6))\n", "ut.centerAxes(ax)\n", "u = np.array([4.,1])\n", "v = np.array([-4.,3])\n", "pt = u + v\n", "plt.plot([u[0],v[0]],[u[1],v[1]],'b-',lw=2)\n", "plt.plot([0,u[0]],[0,u[1]],'b-',lw=2)\n", "plt.plot([0,v[0]],[0,v[1]],'b-',lw=2)\n", "ut.plotVec(ax,u)\n", "ut.plotVec(ax,v)\n", "m = (u-v)/2.0\n", "mm = v + m\n", "ax.text(mm[0]+0.25,mm[1]+0.25,r'$\\Vert{\\bf u-v}\\Vert$',size=16)\n", "ax.text(2,0.15,r'$\\Vert{\\bf u}\\Vert$',size=16)\n", "ax.text(-3,1,r'$\\Vert{\\bf v}\\Vert$',size=16)\n", "ax.annotate('', xy=(0.2*v[0], 0.2*v[1]), xycoords='data',\n", " xytext=(0.3*u[0], 0.3*u[1]), textcoords='data',\n", " size=15,\n", " #bbox=dict(boxstyle=\"round\", fc=\"0.8\"),\n", " arrowprops={'arrowstyle': 'simple',\n", " 'fc': '0', \n", " 'ec': 'none',\n", " 'connectionstyle' : 'arc3,rad=0.5'},\n", " )\n", "ax.text(4.1, 0.8, r'$\\bf u$', size = 14)\n", "ax.text(-4.3, 2.9, r'$\\bf v$', size = 14)\n", "ax.text(0.9,0.8,r'$\\theta$',size=20);" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "Applying the law of cosines we get:\n", " \n", "$$\\Vert\\mathbf{u}-\\mathbf{v}\\Vert^2 = \\Vert\\mathbf{u}\\Vert^2 + \\Vert\\mathbf{v}\\Vert^2 - 2\\Vert\\mathbf{u}\\Vert\\Vert\\mathbf{v}\\Vert\\cos\\theta$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "Now, previously we calculated that:\n", "\n", "$$ \\Vert\\mathbf{u}-\\mathbf{v}\\Vert^2 = (\\mathbf{u}-\\mathbf{v})^T(\\mathbf{u}-\\mathbf{v})$$\n", "\n", "$$ = \\Vert\\mathbf{u}\\Vert^2 + \\Vert\\mathbf{v}\\Vert^2 - 2\\mathbf{u}^T\\mathbf{v}$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "Which means that \n", "\n", "$$ 2\\mathbf{u}^T\\mathbf{v} = 2\\Vert\\mathbf{u}\\Vert\\Vert\\mathbf{v}\\Vert\\cos\\theta$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "So \n", "\n", "$$ \\mathbf{u}^T\\mathbf{v} = \\Vert\\mathbf{u}\\Vert\\Vert\\mathbf{v}\\Vert\\cos\\theta$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This is a __very__ important connection between the notion of inner product and trigonometry." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "As a quick check, note that if $\\mathbf{u}$ and $\\mathbf{v}$ are nonzero, and $\\mathbf{u}^T\\mathbf{v} = 0$, then $\\cos\\theta = 0.$\n", "\n", "In other words, the angle between $\\mathbf{u}$ and $\\mathbf{v}$ is 90 degrees (or 270 degrees). So this agrees with our definition of orthogonality." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "One implication in particular concerns __unit vectors.__\n", "\n", "$$ \\mathbf{u}^T\\mathbf{v} = \\Vert\\mathbf{u}\\Vert\\Vert\\mathbf{v}\\Vert\\cos\\theta$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "So \n", "\n", "$$ \\frac{\\mathbf{u}^T\\mathbf{v}}{\\Vert\\mathbf{u}\\Vert\\Vert\\mathbf{v}\\Vert} = \\cos\\theta$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "$$ \\frac{\\mathbf{u}^T}{\\Vert\\mathbf{u}\\Vert}\\frac{\\mathbf{v}}{\\Vert\\mathbf{v}\\Vert} = \\cos\\theta$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "Note that $\\frac{\\mathbf{u}}{\\Vert\\mathbf{u}\\Vert}$ and $\\frac{\\mathbf{v}}{\\Vert\\mathbf{v}\\Vert}$ are unit vectors." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "So we have the very simple rule, that for two __unit__ vectors, their inner product is the cosine of the angle between them!" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "hide_input": true, "slideshow": { "slide_type": "fragment" }, "tags": [ "remove-input" ] }, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": { "image/png": { "height": 482, "width": 950 } }, "output_type": "display_data" } ], "source": [ "u = np.array([0.95, np.sin(np.arccos(0.95))])\n", "theta = (np.pi/3)+np.arccos(0.95)\n", "v = np.array([np.cos(theta), np.sin(theta)])\n", "ax = ut.plotSetup(-1.3,1.3,-1.3,1.3,(12,6))\n", "ut.centerAxes(ax)\n", "plt.axis('equal')\n", "angles = 2.0*np.pi * np.array(range(101))/100.0\n", "plt.plot(np.cos(angles),np.sin(angles),'r-')\n", "ax.arrow(0,0,u[0],u[1],head_width=0.07, head_length=0.1,length_includes_head = True)\n", "ax.arrow(0,0,v[0],v[1],head_width=0.07, head_length=0.1,length_includes_head = True)\n", "ax.annotate('', xy=(0.2*v[0], 0.2*v[1]), xycoords='data',\n", " xytext=(0.3*u[0], 0.3*u[1]), textcoords='data',\n", " size=15,\n", " #bbox=dict(boxstyle=\"round\", fc=\"0.8\"),\n", " arrowprops={'arrowstyle': 'simple',\n", " 'fc': '0', \n", " 'ec': 'none',\n", " 'connectionstyle' : 'arc3,rad=0.5'})\n", "mid = 0.4*(u+v)/2.0\n", "ax.text(mid[0],mid[1],r'$\\theta$',size=20)\n", "ax.text(u[0]+.1,u[1]+.1,r'$(%0.2f,%0.2f)$'% (u[0],u[1]),size=16)\n", "ax.text(v[0]+.1,v[1]+.1,r'$(%0.2f,%0.2f)$'% (v[0],v[1]),size=16);" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "Here $\\mathbf{u} = \\begin{bmatrix}0.95\\\\0.31\\end{bmatrix},$ and $\\mathbf{v} = \\begin{bmatrix}0.20\\\\0.98\\end{bmatrix}.$\n", "\n", "So $\\mathbf{u}^T\\mathbf{v} = (0.95\\cdot 0.20) + (0.31 \\cdot 0.98) = 0.5$\n", "\n", "So $\\cos\\theta = 0.5.$\n", "\n", "So $\\theta = 60$ degrees." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "__Example.__ Find the angle formed by the vectors:\n", "\n", "$$\\mathbf{u} = \\begin{bmatrix}1\\\\3\\\\-7\\\\-2\\end{bmatrix} \\;\\;\\mbox{and}\\;\\; \\mathbf{v} = \\begin{bmatrix}8\\\\-2\\\\4\\\\6\\end{bmatrix}$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "__Solution.__\n", "\n", "First normalize the vectors:\n", "\n", "$$\\Vert\\mathbf{u}\\Vert = \\sqrt{1^2 + 3^2 + (-7)^2 + (-2)^2} = 7.93 $$\n", "$$\\Vert\\mathbf{v}\\Vert = \\sqrt{8^2 + (-2)^2 + 4^2 + 6^2} = 10.95 $$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "So \n", "\n", "$$\\frac{\\mathbf{u}}{\\Vert\\mathbf{u}\\Vert} = \\begin{bmatrix}0.13\\\\0.38\\\\-0.88\\\\-0.25\\end{bmatrix}\n", "\\;\\;\\mbox{and}\\;\\;\\frac{\\mathbf{v}}{\\Vert\\mathbf{v}\\Vert} = \\begin{bmatrix}0.73\\\\-0.18\\\\0.36\\\\0.54\\end{bmatrix}$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "Then calculate the cosine of the angle between them:\n", "\n", "$$\\cos\\theta = \\frac{\\mathbf{u}^T}{\\Vert\\mathbf{u}\\Vert}\\frac{\\mathbf{v}}{\\Vert\\mathbf{v}\\Vert}$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "$$ = (0.13\\cdot0.73)+(0.38\\cdot -0.18)+(-0.88\\cdot 0.36)+(-0.25\\cdot0.54)$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "$$= -0.44$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "Then:\n", "\n", "$$\\theta = \\cos^{-1}(-0.44)$$\n", "\n", "$$= 116\\;\\mbox{degrees.}$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "### Example Application: Cosine Similarity." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A typical example where these techniques are valuable arises in data science. \n", "\n", "Let's say we are given two documents $d_1$ and $d_2$. Each is a collection of \"words.\"\n", "\n", "For a goal such as information retrieval, we'd like to know whether the two documents are \"similar\"." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "One common way to formalize similarity is to say that documents are similar if the sets of words they contain are similar.\n", "\n", "We can measure this as follows: Construct a vector $\\mathbf{x}_1$ that counts the frequency of occurrence of certain words in $d_1$:\n", "\n", "$$ \\begin{bmatrix}\n", "dog\\\\ car \\\\ house \\\\ \\dots \\\\ door\n", "\\end{bmatrix} \\;\\; \\rightarrow \\;\\;\n", "\\begin{bmatrix}\n", "3\\\\ 7 \\\\ 4 \\\\ \\dots \\\\ 20\n", "\\end{bmatrix} $$\n", "\n", "Do the same thing for $d_2$, yielding $\\mathbf{x_2}$." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "What we have done is taken individual documents and represented them as vectors $\\mathbf{x}_1$ and $\\mathbf{x}_2$ in a very high dimensional space, $\\mathbb{R}^n$.\n", "\n", "Here $n$ could be 10,000 or more." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "Now, to ask whether the two documents are similar, we simply ask \"do their vectors point in the same general direction?\"" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "And, despite the fact that we are in a very high dimensional space which we cannot visualize, we can nonetheless answer the question easily.\n", "\n", "The angle between the two document-vectors is simply:\n", "\n", "$$\\theta_{1,2} = \\cos^{-1}\\frac{\\mathbf{x_1}^T}{\\Vert\\mathbf{x_1}\\Vert}\\frac{\\mathbf{x_2}}{\\Vert\\mathbf{x_2}\\Vert}$$" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "hide_input": true, "slideshow": { "slide_type": "skip" }, "tags": [ "remove-cell" ] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[ 0.12598816 0.37796447 -0.8819171 -0.25197632]\n", "[ 0.73029674 -0.18257419 0.36514837 0.54772256]\n", "-0.4370415209168243\n", "115.91527033906208\n" ] } ], "source": [ "u = np.array([1.,3,-7,-2])\n", "print (u/np.sqrt(u.T.dot(u)))\n", "v = np.array([8.,-2,4,6])\n", "print(v/np.sqrt(v.T.dot(v)))\n", "print((v/np.sqrt(v.T.dot(v)).T).dot(u/np.sqrt(u.T.dot(u))))\n", "print(180*np.arccos((v/np.sqrt(v.T.dot(v)).T).dot(u/np.sqrt(u.T.dot(u))))/np.pi)" ] } ], "metadata": { "celltoolbar": "Tags", "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.9.18" }, "rise": { "scroll": true, "theme": "beige", "transition": "fade" } }, "nbformat": 4, "nbformat_minor": 1 }