{ "cells": [ { "cell_type": "markdown", "id": "c3109b7e-0092-47a3-aca2-288e745731ba", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "source": [ "## Lecture 6 - Parametric Transformations; Feature Description" ] }, { "cell_type": "markdown", "id": "38efd636-c09e-4d1f-a828-33e0fcc75686", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "source": [ "#### Goals\n", "* Understand the mathematical framework for (linear) geometric transformations on images (image warping).\n", "* Know what is possible with 2D linear transformations (scale, shear, rotation)\n", "* Understand the motivation and math behind homogeneous coordinates.\n", "* Know what is possible with 2D affine transformations (all of the above, plus translation)\n", "\n", "* Understand the concept of invariance as pertains to feature detectors and feature descriptors\n", "* Know the how and why of the MOPS feature descriptor" ] }, { "cell_type": "code", "execution_count": 45, "id": "4a295613-e6e3-4f35-b603-27b158385acc", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The autoreload extension is already loaded. To reload it, use:\n", " %reload_ext autoreload\n" ] } ], "source": [ "# boilerplate setup\n", "%load_ext autoreload\n", "%autoreload 2\n", "\n", "%matplotlib inline\n", "\n", "import os\n", "import sys\n", "\n", "src_path = os.path.abspath(\"../src\")\n", "if (src_path not in sys.path):\n", " sys.path.insert(0, src_path)\n", "\n", "# Library imports\n", "import numpy as np\n", "import imageio.v3 as imageio\n", "import matplotlib.pyplot as plt\n", "import matplotlib.patches as patches\n", "import skimage as skim\n", "import cv2\n", "\n", "# codebase imports\n", "import util\n", "import filtering\n", "import features\n", "import geometry" ] }, { "cell_type": "markdown", "id": "c6ed4ad7-132d-4906-8a67-fae476b90b39", "metadata": {}, "source": [ "#### Plan\n", "\n", "* 2D linear transformations\n", "* Affine transformations\n", "* MOPS descriptor" ] }, { "cell_type": "markdown", "id": "6b71377d-2c64-4397-87d2-e98832f981ad", "metadata": {}, "source": [ "### A Mathematical Digression: Geometric Transformations\n", "\n", "Notice that I ran out of math in the last subproblem above - how do I write this down? We've reached the point where it becomes nicer to talk about geometric transformations using the language of linear algebra.\n", "\n", "Whiteboard linear algebra review:\n", "* A 2x2 matrix is a mapping from points to points\n", "* You can interpret it two ways:\n", " * Where does it send a point?\n", " * What coordinate system does it translate points *from*? This is the change-of-basis vew.\n", "* Transformations can compose (they are linear!). If you let M = AB and apply it to Mx, then B happens first, then A!\n", " * Sometimes this matters, since matrix multiplication doesn't commute." ] }, { "cell_type": "code", "execution_count": 46, "id": "edc867b5-23a6-4b4f-a0e5-e5acb6e85338", "metadata": {}, "outputs": [ { "data": { "image/png": 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6fM+pX+Xql6wS+X0tsU+xNsWuOVsRBZzJGNsQedm61WBXkYQu0xGngqkkkvKU95PCye6kspQKUZa+jXSX1XlRQA3juYoVpu5D5dgqSkDJttGVm8pSRAqXPklYQIWrMDlAxpxVmCUsasli4WVTgvL86RLnTd27igrFtVcRQT1vyspPod6UL5XkhDImrrnS1cn993v8xoKpkuwC9FFWsHJlleVTyCotJbs89ETOB6r8zzLDQlhOcbIq16Fcu9qjus264hFubC0uU1ttiEVM0wRhUEDPO2jnczSLEVp5hFYa4mKjhWF/DS3DQN8ocGnNwer1dTgDB+ncw3xvH+ePExxPNIxDHUFuQTdNhBR/FSYcu0CmW/BzHQ5lI3UNQQzokYEOB7aAszvDujtDxywwXLUwuN3H1Z1VXJgmWByf4exwgnszD0/SMRwLcPIcfhEiLjxMghkSexW61Qd0cpuFK1Xeai1DpVhHKnZSh1VocxGXEYBDqR3eS6IZGgrEqKhnQhBN8W9hclKeXdmscl9LRpCi1dXA1zLyL0Gm5Vx3LU4pc4dKWwtPT7iqZYJfUQ3ly+vMICEYdE3kVlYWq8Qtam4/NKOWolJsHSG9pQvObrdKPNUWuXbaahJRHsbSc1PPqaPKpSJaPsMvTDBpk8ilUMG6cIGkC1Nza3ON0EnSvpKbSLxWmSMTFk/mgRgpFG6KcKmqzHuloeo3uLw2iqrFjzJnKoKl8k/0+yyHUyQw02M08wUG6QJrjo5he4AV28WGm2N7pYnBpRUYTQ3heIaDu/s4nWo4jk0kmonM1jA2NMzyHF6qYRIbmFPsFReIM0onaGwpHUODpeXoWjk2iPeqaehRwlsvcBDlSJ/m2NofoecAq6sGVr+yiZWXt7F99xjHx2N8MplgtfAwshr8/udJguPoGF6WoHDX2cypoyLxB3kW1TpVEH11aITnQMIlBIuELIVtgnm5wrUTZ4kBHbKWmcnuamUpxe6odIDahHqgoQROeVR167OsaWU0tqR8pbtXc29zicSSxefcoDzvis0jkNCKMy0Q4Yr7XAeglq20tJyKPirXrMIrqnspXbEa8UBcjYqdf43c1tZemv3qVV+EKzue67B4M4UgGZwDI+RTJL0VKsabT9qVFo/iFCZxKwSQXqvDlFxH/pdeX1C+jdIkFQ+ndJIkQqe+r993tebKktBC50wuSFL6yWTyeduI4EbnWNcSXBn00bZcrJjA5a0m1l/dBDIPZ5+eYm9E7qWByDAx1zUcWBqmCbDICoSZhjDREcQGwsRElNPhFTFgnRQuYuGMF9bUCCjKsGbnWHNiXGwCtqFjHGa496TAxeMDXFrVMbzSwa03tnHh0THuf7yPD2ZjHFsNdEwLLSPFcRZjnEdIOJhVKkgcZHWgVfKh9NzkIWZBzYSyIvc+1YFENxBnIqVE6RL1XiSEGeUqSYghc5hUKCBBF1autPk19LHuqajtUKZaUEkr11KwflTaqubdqOizBhmAmVKCXicgN5nKqeUGFfWxtM2181GCZ/wU4WZWIZRM+KnrUtdTem0VqKNUiYhVpRL4NRxf9VD5/WVoVPmGX4DFnAQ6byQLokb/KgEjVFLlphQTokacLgnDMt6k12pgIbeNAhY9T6cvxQ2tB971RHrNWj4Xa5WLznFSgTAiRdCDXsSwkzFawSl2TBNbzVVs2CYu9wxsv34BlltgfH8PDw8TnKbAwjBxqGk4jgAvy5HAZA+AtAh5QpRGKWgBEg1FQpaF7pfSF4r+puI9HTEdbBQIEwOTpMAD38H7WooLzRhXWya2rQLHKTA+KLByPMGVoxlWvraO17YGWPvVI3xwOMZdWjC3hTgllzKFlyfIdMYqJdiRVfTh8pAo5FIS2ZWAqnVLCaHWkRKwQhxT9jNFXMrxo7SSZYVKWXshD5cyIuU7Vm5fyaypiapySRUYWE8p8OtlfrkKQ6q0DeV1WbFINLRi7ihLKUjrdUtcupblYRHJ7jJ3XtLv6geqQs2Y0M4VIpWFVFVTy8ZQGQ4lyeo9RUZTPUqD8Vs+fmPBnCUmjFSWQkk3tEJLqxiULKIQUBGPCFK3PDlS2Oj1NiX+iYVC7h8JKOUdaR/YAtOJkWkABg5qAlgSoeuehlyUDAgjIE3aQDyDm5xjmIxxtd3BmtvBpgVcu9jG6ps7iI+Pcf+nc+z6wKluYj/XcBQV8EmgmLpXJvZKLJEAE1IqNu2dCWgJAUAakxPEoVVgVMlxYqaOoKsBi9zCZ3MNT+cFVpwEXxkUuGEXmHs6po9zbB0e4uK1BnZ+/zYGDw/QfW8PP10s4BkOZuR1ZAHCNENq2tDNhqywyFhpKBhFCJVwXUU5nhAspcE5e0i8CrpU/o+quqkqKShXt1QRwue7AnpU6LCUH5UouShCUGQD6TWWYFRlfcrMQZm0F3upUhlF7blKgFR8KXKrNSsp6YB1hL/Oz62Hf5wH5gusxwLL8W9Fvq/OuACVau9byptypmvhpcqWSAUjmEBfkGCS28ZuzXPgS82MCcGUUlMidqV7J9IdDIHzISBwoRClTsQzpY1nMEK9l0jcV9q1ZilroEdZx1loiMIUedqBnU7RjM7QT6e41B5iy23iSiPHtde34Ky5OPvZY3x6lOIcJp4gxxMPmDO3VmhWjSFLdT+yMkSxi/jiBJOGwBOxLyqmkQwjeZj5wYqKrjGTuS+bAQaKX79/kuKem+H1XoqeUWA3MHB+N8Lt2ROsvr2FrzUH6L93Dz86H8OFieM8RZBnmFGoYCYwTRumJcIKWgMGapgIr2oQFcJYWQ91YNTBJoslQCWxZ4J3rKzbsjUsb4nPQMWiEZU3BQxT8JXpqUI5yPpWKQRqF9Uel+aRK4vkTpcpMK1EasvX1Qn8JfolsgHVKRHvuXTFkj3GH1Wz9oo9VvNzK/S2jBFVaKWss/osRcivXl6tUFWsUd5iedMvmpLHvHopGtL3LoN1tYjEXawpIaVV1QXTARE1j7RZVOpEB5ksKjFmGL+FRhxOdmEUeFDqwNq71kunRP4sTVJkCWDEc7jxGYbZHNf7A/RtB5dbOq7/zlUYboxHP3iGJ3MDT2DjbpDiKLaRkBblPdJFvSeREqhahoVTIYCSFM4ZGSFs5ZeC5Us6WLUBAjEWiyDyceJzKOaOYGA3znB+buK4HeO1Zo6ZlyLf17Ez2seFl/q4851X0frlXfzV7jFWtC4O0wStosAECQyzB8O2yppNCgsox2dmOixChJkyJmMjclNZcUiUtqbFq5pP8S+HIqoaRtUgEndXCaFkcfFzpfEhGlqe5rwWKqxR5G/mM9dBoorHKU+ujFvrKY2ifkXPvawe18jihFIMVS1a6WJK0sBzzCARU9brgJX6kV6SfF11+iqESKHH5W7/u7xVmVcXIrJcpPACKXkVIrgEkctFUNGGOq7k3giSdFXhIBBYibDJYFrEnzLQljksiwgCmuAmEihUaec6WbnarZwrYcmQxbCjKQbJAtcGfay5Ddzq27j41StIJiPc++kET0MDjzQN970Uk8RCkBKjxYBGwkganw6pNJVk0UXpVxUzc1UFc0lFHKZcNaIcEvy5FIdUWy1rQk2R5+MSLJXY1uBlGt6daNjzE3x7qGFVy7EbAOEHU9zQYlz5zivQvv8xfnEwhWW1McpStJBiVsyg612Ogel92MPOCUgTdZyqYkStlyqgrv5Vh0Wh68LS0bqT9WV5rVkfEYYIwI/uQ9QzCvSd60Dp+0zslVJIrAhqB7c8+Gr71NHnwoVaMZhWg5Wkf0jhUwXySkVIwI7C/MvrLZ8kSfV1Ivrn8QnxRMkaqmKmmpVTbq/yjFReth4bK3e2HuPWmET1z32hgikPofg4pUUqv54ultgkBMMTu8Qxqf0DAToiPa5MJ7uFpMmZWUKcaDochMgKniSvI8WYzN7JWdMTk0flQOmhy7YlfNgIzEjpwNhwMw/d3MflXh99t4lbQxNXfvcqFrsnePjJDI9SA3cLHXsJEFs6E9P1LEfEvM+KiK24vbS+Mdf3qTye6FxQkqI57jIqhK9yI2pWc9l6isNIyWnB22Wmkk4k+AJnsYnvnWnwVxNccxz4QQLjgwhXwnNc/N3XYP30Q/zywIPluNApPtQLxEWMHLbkbEq3TnZbUGyUOlLLMSi3GJHEcAXrsKIQSDqRC7jsTipKUW5WT8erWMzgdSNzybQ4sTvls+oVHyVoXgdlpBdVuf2SnQP1SZUR4LKwmhtcCraU+pooLD3UOa0kt166reif0otTqlTm3SujTN8IhcMelLKcpXBUhArxsopcIf5Y96G+gOqSEgaRq6Lula2jnrNAulbB/Wscg3JlhNhSjk9A5wIUSqvCVU6p5HwYaDMEh1MG/iQE5KJQnCIryzn3yWkI4WaSyY29BIbhcolV25/gZreP9YaN620DO69fxfzJIT66t8B+YeFuDpwS9GgZsGBwsp0UDruAJIQksKmOKBEBJrmsjFJy6ZCwkMJiSgspy7FUjm8piV57CEWuXGLh1iyjhLQNdL+UKzXw4xMN80GGb3Z1jAINxWcLXLMzbP/NV/HWn7+L/DhBqLuIKGdMwpZS2Zs4DrRGFpHN+aCpELgCT0QpVIFcxsccU8o2Jiy4TCjIpBcj3FaREhOnkel4nA6jyhJB7lBobSwtaCkUJZF9CSKp/rskSaU/ibrqVw/BE5bWaYm9Lk+iRFGX0mhLb19ZtOqllX+s4mkWLlZKNRe2enZVYF1+Zo0XW7+m5371+V+8KOaPCojrIIy8T2qEVJKNZXMoAfIANnMzxXPKoFq5ODlpZwhks6zTE7qJcp/knqp8KLNBKDOpi/ekmsvE96GlOuzMhxuc4bJrYb3p4npTw423r8E/OsHHn3l4ChP3UuCchMqkgygFgw4juWZFDgsaLEuHmRbwghxBYiHlhl6Ssq+ajZXQeq0CRsVhz2vSpT2pyG9LJ5KUgxBLThvROoe5hY/HlJ7R8PVWhmhhwvnUx8XOCS588xWEf/E+0nmKeWLxmiREQCBKoG1yuMbhA/crIkqezNtJsI3XWVouBrCojlUi4KLanoA4AqpEFYtIW4pYk8rouBRMFqOrLgGqyJk8mZJgt4Q1qNNa9xyXD2r9+BdLEI9EkkslVglSHVStoUlLuJLwYutWXrnuCtUXq6+MTMUiq21RvadRqRTquG3djxS/KZXxkln9AmLMOhG5vFr5I1uWgg5IdQO02ZQGUZqqaoIlfXQVf6lmXUycltevmpaRdud6SVHQTDbAMSXamMYoggxdS4MbnmHLyLDR7mHH0XD1q5eQBDN88niOJ4WGu1mOCedhRIJc1FQKa6DyctIgyOQzedcZ/JhcNboSEdyw8lmi/8kNlq8nhg/176For3LlqtNTqTX1DkoLC+BMgWLkygeFhQ/PE+SDHG81DJykGfR3Frj4FRNXvnEL4Q/uI0htRCFZNxNTUo6UbyXqXgmkqDygREll1z6up6Q9MgCbwRoJ0qmueArckGEKvYZanrA3IatNuAOgirNl7eESp7cEV6rDXLmxNc9y6VGKEBTYopxUtZRL0l1j7dQBIfGzAq2eq/IofeAKYS1hKWkpK9dUlCDWLXSdlFDdzq+z5AIzWWJQfhEWs/Z5JQ2v3LyyIkBwEsW1E2sjR5qKi6JDq4p31bqQIJLFjFKykESaVoWvVeKaAmdDS/kQWboOh3KeWo4kDuEYBhpagLU8xLXhADuOgZsvb0FHiE8/OMWzVMMnmY4JuWWGJuiS8nrFNav2XCKmJXeN3DOOq3SDBVe4sFKSy/SBQgLpOMooSYIObGFUsF+q8xK/qxLyddemTGbTlQhOJ1mtqDDxyaxAZwh83bVxHCawP55i5z9Ywc1vXET8/RMEqYNngYeoMBD5TehNoSUSWLIZV1VspSh5wjIo6El4OCScKsZULUkoziTXluJsVfpFwqlypSzwEo1XxQOKsld2PlSHpt55RnoQKnf6vG0tlmCVumGtCYX6uSzTqlIWdcOkLFeJxqoSrdL7U3tV/xT1HNWfqmrzIl5Bnf5KrpX08up4j6r2Ef7Wb5sq+a0FU7X1UDel0FV1O6rNHwmYzm9NsVsBMxMtLuotMVQPU97sTHxRLMfsfZlLo76rjpnBtYAmMYUIWCK3i+orocOKfDSjMS70OlhrOLh5qYP2xQae/PAJ9lIdTzJgQYtiCWvELTVrMLo4FMR2Vz14pAtOVkQXJDTVkErFMkt5NRlPcTsSZWXod5QH5W4ddddKotZSdVaUMGLv1JFC+ouNokhYSVBfm/enGTorBrbo756G5o/OMfwbV3Dt4hjTpzm82EKQFzjKdIQhdUPQiZxU8kkF3C26H3D7SAnU0WGiBmMRU/bEjdG6isZcYg/YYlLXBeoLRHGl6qInj6mo+nguP1iZt1qUpoRo2aWvU/PU+S8UNU5K2pKALrX4kIygOkC6JNE1qp3cDXHXdeRWflfHTeR1qrrf6r7UGRFAkILDVCNI9XzxNxHhly414yRfhGDWkv3qttiyPVfZQVqatWyaw0t0BiIoLuRYRrlMMrcleu0QL5OABJGcV/rKkmBSy87RdAq4FKuS1WS6lA5Ts2HFY2zYREhvYbVlov3GBkYf7OGhn+IpbJzScw2jLA9T+ylIA2IhK40tASaKY00ivpMVT9k9I/etRPb4mYQ8iXsWLBHFBFf/VNSPujUVSlcdSPVckc4v61ZLtSusUppbWGQ5fjYG/uZQQycqsDvSYP78AL23buPK2Qc4iTsY+wkaCBATXdBsMumAXHZi8ZSNqcr6SOk6q04GtbSJQM1lRYcqSFYlUoQg095QPaokqtPryTWOZXNp0QS5fi+VS6+S8mrtyh1Zak+j1qvOw11mmZYpkPLPVfpOGIuaRX3+GD/X+UC5vRVuJ9t71kki6lqllIktzCWTqWJPqVfU0dmyLlXydb+QDgaKaCyDxqXfV46BgorJAooEt0Y5RkXh0qXfXr5OHllZ6CqEktItGRq2qGtsWAXT4Ew9Q8ZBnwYzi9FKE1wc9rFi6bh4bRXZ0zM82Iuwn9vYJeoacV2lVlasQNaa0sUTle9S9+vUAUG0z6ADZ5s6XItygRkfXOrpo4jqpZaXye3y8C15EFWCvYLpJHBRxliyh5Cso1SvV0JAb5CQp5FbGMc53vMzrLYtzBcpRkc5OsECF762ifEPptiPbczJWzESpGaK3NCRyNSUKLoWaSZua0ndFsj0cUd7eZykOVLAjfhX0SgFOEXCTvxmU/a+pXuj9WFSQypSSwl3Hpc1kvIellD8cuHqQlljAzFhpKgcyrpsScFQXmVp7z7n8/4aJ7iWX1QIdJ24rnpC1WVnyZFRVrVsFlAVTdefXxIR6pesZOOLsJh11n+J+9Sp+MqilGi5oFqpq1QCQlzFaoMq11ik32THbYojORcqesxwFwLS5mmOJMpgU/XGYoJ110LfNnFpaKO13sZnPzvDYW7gYZLDyyxGOcVGL6EvQjjL1oR1Tqx4Cll40vzUFZ2QTPrKKFcn86dLJQgyKa39mpSA+FKtFZe2WESnNYSX86eV8yN61soDQBUhVPT8eKHjQwe4opswkwSdd2cYfncLl1ZG2EocnCTUAIwrQzkVTLlHS6eyNFETKywmuaO1EQHyqtXYAnXqVRzKhALp9ZTjIchaKDIC5aApXOH+tNJWKPK8fK8l3njd1ZTnaQlcqUBuVMiJsmLLr3veHS21Sg2UKTsjKACq8lWlfVHd8MqDvHwt5WtUmFFZ5+cVwPOXWOfjVtbzRQsmoZk1J37Zela5TfEQGpPAA3Xcy9C0hKxrpeHl94JwTR3aCGwIiZgr6WNEeE+jDDoR6ZM5nDhAvz3kguS129sYH5/gqafhaW5gRugw9yhV/YKkjRYeogBnyfpJFK5quSg3iXuYikbSCvCh1ILop1rftsqyle08ZVwkVqBy6cqCcIk+iefXGpdW6qoEOARSSx0IyE20uMb1w0mKKxsFUt/A4XmBxr0xBq9u48r4GPfjNgxSSNR1T6fFE7WUothY1WNWc2EEcizpbOpylCvGADYJJs1XIeFU/YEk85fpf7L9SG0chIo/RWhQCfvneaPKy6vyh+pwF+o7BTIunfZlRrhi1AiBqQlf+YSaQVHvXnN366R0oUdqQWxdYPnwSC9HGqJ6iVd58aUgy878dWf8C7GYNb99CfZWPv5zC1LOuqgBPoozqmCFChpZuj0+TGFK9Y4F5zgTM0NEYEUENPIYzdhjsKdrmtjst7gaf/czHyeFg92o4MQ7x0OiO3JVHKtsmqTQMTNGwuOCICCBDHbxKM+nwTSpxIsKvpfRQiH00tJIbmV1ByquUMKrbKmqemdNJ0jthGLXMneKZyqeJuJp5q3K102THPeiHF+3TEyiAvOnAZqv7OD6xiku+8DcGyO0BwgNCiVkaxBqSF22A1H7JZUBuaRllztly+Wnc2WKSK9w0QFbYdV7SYBEinihSsWUUKtYTCls/n3tnJTrWApJLTte1A/8smso+v5WfNW60aqMQ+kH1IShKtCu+E41Vo5yZ2to+VIsW+Pp1nldpRopgSZ53uoaSMrBFxRjiqtSGkwJHT84PFyOrdQlCzJwhb7V1YZyCyrgQ2wK8y+ZX0DAAh2IHGaewkxNuOkCDS3FijvEQNOweW0d04dn2PNsPMo1jGLqGED5POqOR0lvSpILjqqoVFMJ8EocBG9XzBih34vZHwI0od+pwTUZM7/rbrGaGyHR2ZqGrCyqiFkrq0gPxjYFIlwDz0SJVh29I6EUn8M9lag1pm7g4wlwbS2Dk+k4XRgYPBxjeG0N1w9GOPJjJPkCodEXqSdmN1WT1YQVqzhtZfpAXr9AmKt4V9EQKT3AcqxK8eR9qyqWsvLmc+dAdq2rNcsqxbJ0dZUwybOlPR+Gqquvvbz2G2Uty8Zc8lXLBmqZhF43BMusHAUNL5/80vo9546qOLW8rDJsqdxwoe2Xe9p+MdO+6jLGQXPdJVVuUv2ALgtlWXVQs6bP/112PeZNoQMGmumRRtAJ9HGbMNDEZteC4Ra49yzFk9TC40DHIjO5fMwgFg+BTsy1VZOzBPFBvLE6fFUKhYSTQBHqUJCk1PeG0GJKFQjCAFlgwTiR5cj8r3JRK8Jyqb75sIgRDWWP0jKxXXPlJQNFNBGsrUF5CKSAcktGwMsLPIgLvN3QMI41nN6NsPm1NrZbCXqejXESw9Ey+DkVjVbrLzrZKcWqLIZy36odKJthcWiq2h0+10pjKX1Us3DlW9X9VbWTFcdZoJwqDpK/KYNcrUSzy9+UnyOta7l/0tN47pSq26pfSr0cTyx9Sed5Lj78dykC5Y5Xz2QUWr5hncvwOWVSfeiLdmVrGqDSv0uuqrqQpXMnyLTVbdVLo2Q89/xnKKBJbQuLgeag0CMux+paHTQKCyvrfZx+OsOuZ+NQtzCKqBOCweARI5AE2tDiSTdUcGFqoIu4AKmp5VQwmbcTxHaTvxdlXrJ4urYR0ieW7o8STDlugFy+gvrnkVKQ78E5S7oimesUO/trmC81N06Rq9m1MPk96TVPgwRvDi3oMTDxEqznBjYuuLgw13AUh3DTCKZuyZrMGl2sNFQKHV86kUsHdCmcfg5SVJZWvF6kWyoKnPStpOBUJHS1y/XYk/4u1k5Q+tQxqUKczytvlXZTNY8Vw4zSGDXoQ3bNUFB4LdBl6uGy4JRo7fMrsQQeVd+r+1T5b2H9lbsrv+S6PJ+meaGobLW3dQ1bE9KSk1gR3ivSr3yWctRLA1KVHFXWWLJo5EKw6FDJFHT0NGBoN7Dlami1HHz68QS+5eLA1xFxEbJsYUIurCQOiPhIxEjKvS7nfPBDVvvLTxWVBqo6QwhsefDk/YgqFPpXErlLrSypcFzJL9EmBpEYC5VxHc+MUnXxNeMpi4aXUITSfpR6ncqyxqGJh3GC7YK4wgaCIw+d6wNcfTzBpwsHbhHC0WykBBrJRHzZr7V879rhKwVKHUBR6MdXKF+rrrP0ZWoc4FJ8lix9tZfCo6vsiTrIZXSp3Fp5bQVXeCy7myqNIj5egkZLXHilHFS8V6teUedKuuJVuqR22Uv+63PqQLqktei09vnVvZfSoBS1vJ5li/yCCQbaryvfKS1cTSjVIVOLrpDL2g3XnlJbiEqgxfsKWnWRRDyYh8q6Bo6Jrmbg0lYDaRbhKLJx4ug4S6g7n8mHnkGJRMZDqiqi7GNTd7SUvyaiOCFsNfS5BghWDcGWhbTMXbEyEiwefh+q2qanGBTjUTKaOgBR7yA56VqMMhOC/NzmlkpNIoBs7dlVEi4t22FNx8NAw7VGgijSMdlN0b7qot1IYVhtefmyZaNc/4rJWkcyaieznpaQpkvY9fLYi+dKq1OGV0uWZ/lw1x06ZW0qtHbJN1hKv2myzKzsPFB6JMJOP5cBq7nWlaJfIu7IR3m76uLLKeeqF0j5zKVzWd5zibZWxQDLFEH5XH7fKu4VJHx8UTHmculMtSglx6M0rUvCqbToUsJdvl/p63/e3eK4kA51GsJJQ3Szc3TbPTS1Ar0LHYyejTCHgSNqjFVQcaUa3iCG4fD3y1O8azFl7QCx8Cr+jrJ4tVVUheDMKVWwfBVw8WZxaohMsuq+QL8j15N+l4n3kJRA3rBSAtS47WpNVdzG36vRg7Kplroqog+MogLoi95DFGtuzmP0Vx0MTgvcjy1k1K1aF/Fx3fGqMAIlNqrhliA8iENdsaL4WSWlTPUNrim4MrEuj6gkEikFUAdMqisph1SW17D0JCxby+qn5/3Bmu/I9ybteenaKretWuPPPSqCTvXx9fdX9b9SKFV8rAj6lXtb40EvvfdySugLmV1SWrTS9ah9ZNmh/fn8k3Jd6knhZddYuK1VTFH+nGc86MfJPfT1FCu2hXVHg2lrGJ0AcIHRXNZuyrhPVaKrkh7xIZJsXd5OTfjkhDBiySzzVmXOsXTvqmJY4c5WFpPiSAJ6xAEl1MkQvYNymrFJAmZV3Fj+jVQivGZV4426nub4t8RG5N9ZaKkVCuVrCzwLTWzk1NHAQDqN0brSwc3HHj4OM0zzENQUyNDdcqfKfHK1reXVsHJS8RAJq2wEzZa+ThypGRG1v2q9lg8gFRwoNlUZrAjApDZisCIYVGUn2vNJiVJ41CzO+g1UHkBVNFJTvtIrYddWzjSp5XLKc1y+tKyGqR5laKpszJI/WxvRUpdJFVv/WoF/oWVfSiir9pJKE0k7WKs8EZdS14R1baI4tupdlVDWtaUgEidcL+kgRd+mjukmVoc2gyCnATC3qDWHVPOSKF+yjBSwU76vEkgFQqnfU1wpuiRwuRSdSHJppbUqc2YqYuHPkXcki4WrAykG2nD1SU5OJ72PmLVdsROYPCwOoLSuVY8jcj8rFSY8rNJ+itmdBY2HJ6HV8TTNsGEW8DMd0WGExtU21h0PAz3GJKP8L81IsSFGK6lPX54Rouwi3acgUVQj8BRyrpZPdIuregyo/G3VYaJSusQGok4WvK7UcI2BNdlWU3aIL0GiXxPeadWnLFkmhepXcW7tPtTF/i+9oVhomaZRdcLLXePLc1NjCT0P3lQKW1xl5QBUedSK8SOqeb6g6pIqNNE+566WkVGpQmrOWc3NrevO6u/lYikCgHJKc7Iw1Dwj40bNDnU332kiXPjwcgMjqhEkmp90Y6uFqhaoBJRqeZ4y+S8fqg0Hx2VMLZPFpUwAeO79SldTJdvoOWJOpmhMQ/0kxah2FrRS8JRAyhhTNp8q466aB/Gc7Vw6VELxiI73o0RDu2cg8Avsz3R0gow7ylPdalPLMdcSHumg3LFqh6rDqHao/rfl2LD2GhYmouXJ15e8UxJEVaigLJR4FXOSZa8hBbrVCxaWPKja4S/UZqr4rKxPVwqzzr6R56kWQypm0bIHqZS+WMnST5HKt1z1unDK7So/v959QlxIeZ5L5VzjQ4uflz2AF2gx6/MWK55h/dCW+UklVKV1UsL8vJ8ve9KWrFCJ+pWCSbxZEzrNqwSVfDlwdB1W08L54wU008QslS4rB0dK4JQ7u1xVXv1bu+7nE841HqQAXwjQUYNr1NLK6y3TJKIyUdPMcjyAiLXqGlkMJRRulAJ+FBNGURbLamW5zjVFp65Vri1PP4aGUVrgjDayAEZEIvcz6B0LmUUld6KzBKVoyJWuLEBdf6pYsiaQymUr10F5GrKNjBzpRw8WOj4PomG3KAQQGLcA3AT5v2Ieqf9VNnhpP+qHu6gpwJoiEdckpmzJUyRet8S+qoRLpUHKO6ptvhhhXzM6tVQIY+s1MEckk8uGLbX0S+Waq7pWeUFl8Yb4tC/AYpZpOxWTLOUaxcdWGlgtVX1+RenLVpaz1oeltJDPGQjDsKHbORzNQNuy0CXygGNjPgYSU8ciwueoVeVV/bpgqjzopfNds6RyU/hHkSwQlo1ixmoQbzlgkA84EQ0ksloqAyk+ZSsSKh6nTSTXVqDNAoSqG8LlPqTlxivAZukKpZBqgE/c4Fx4FA2ChIIY6YoD72mGOM6QajQKW0z94uupY01K0MvBOPX4rPZpim9cuqtyZ6U1YPqlaEMhZnwQU0jNTVHToEt7okKCuqKrQg1VkIal8q3aOeM1UkIp31e6+6UXW7v8UmhrTPrqfVVLHNW5QJEWqohKFf/IiKeG6qrPryehZHO1UpGI88MnQKOCgi9CMGuHmafwlgjU8/quuvBl412n8lWaS1uarVjPaYqNpy4IlCZwoaOhG+g2cnbVvCTHHIBPpRdsjQRQsoRu1j/73/VYithr7pVsiygsqhx4W7o3AuihTcgymppF12AuIZNlkyp+Xxqkwh1Zyz0sD+TziEEpzMqDqAKwUr9JF5JztFQLqRVYtQ0skgL+JIB7o49IjxAZNJ2MyA2if095YNXiyLXiAcLLG/e8gVrKVtaVgwBjxHswkisLzxVQo2ZVVkyY2nQtuQZ1F1QJWFEdmc+Fi6V4KSson1TmJkvNo6xfrZu/XFmVny2XoqRXLh+HZaCpyiLUq1WUy0xRPHsM0oPi8kJu4SorclTPnC+GkleVSy0F3eVdV/ZymTtaW9QlF6SCmHkcvGK4sbXUYNOwIc/nYiWul7cNFFGGIDFQWKIZlPBil7VdFXnULHV9t5duSLkj6u/0BNXJTg3dEe4KbyBRiXT1EootHXkfinWiTpSciF1+pphCrOKZ6u4VAKK61dcvrXJ7q9Nb/Z1atgQyfE11DbNJgR4xfjQNgeFC5zyqRCLLR+W1qJxgaaTlQa/IFOoDq1itrmyrGR4SZS2Lh+UrayasXN56KqPcNFn9I8f35cqFLtMzdeWlPlP2CagLnVKkNSpgvXhA1AovK0PlYFfntFrnKhqrlIsCoipbKa0ix94in614w9QGh+qIVSOaL6wZ13IaRAnAcpFT/flq8es3vayBajtYvon6XYbMn8GO57Bs0jg6DNtFdB4hYZqemMHB9fY8dl1sbN0VWcqBPZfIFw9paUsfT25qLfYoJV39Pk+xqQXw0hgztATYU1NPBPioPqils1N60PWazhqZodT26sJlble6yEqj12mL3HsXOqZFwS1UBAHfQEO2AQ2J9VO0kBG5oa4dSyUl/QMVgy0pzPqgVyn5tfzc570RWZlTI6PXyQu1t6/R02RxG7eLEWVlaqkz7qIovi+F77nPVgN76keNHWVVGFDelNjL0sqpvawJYOUV1H5RKpP6/JxK9YvQRsSRXEguwS+l5zPujyx+piCGLOgXwPyRB40oaOSW1a2h1PJ1t6u6kyrvqbi19e1UQbfKnzGVTnWtyxJm0BDaR71+XF2D1bCQJxFPdKaBsdwoq0wxPLespVBVbliVB1MVF2IITn0zVKpFPGScyaiUjjxNYSRjDI0x3MRDXKwhxipgueLVplN+rLgomYYRd6km3cuGXdKFKtfnuSVXSq3OQKotnujwTU2fafIapUWkt9wwOXdoFTQhbBk9V4869ZU5qnWFVvob6meleOsaeRloETlkET9XANayxKgZI+Keqnw1NQbnzvFyJmfBXRekpSwPfw0dkN6FOpMlYMMeV0341DqX9ks65LJHsapDFW+1bM3EJct0UHmw6upIyIKcaiOa96tX1daGm2vLOt8vxGKqAyUUdX2BnwMnaqhmXfiqf1WsseQQlWq1js7ajovhcAvm3gNeIEpW2w0daGTs2CYyOldFCmqVK4tU+1z1O27nIVIWVeGsQkufU8vSfawg+lzkNhMPu6OH6LoOXhu28Ngf4VxfhWY15BqIzvLVMRcsF8pZ8iXIRl0V2lgpBJE6qYAM/sy6Mqu5YUTTI6GirgI9AzhNdcz4cEfcyMtFiKSIuJ80FTWrFAnHlCqOLYFaScf7dZG5Eiy5mFWCvaoAqdxs6ZLWhF8tJf1eoLZkP5Y7F4j8piI0aNXn8+tqAa9Cap+7JjHIVyq7WqdU/jMrb4V5VOtX3nvtOurKSVFQ68pKPUtkyEWrbyXERC8R5H4ROvA71FDe36a3yG9PMKi9dz3F8JwjWx2seu6zDKbrwlyxhOr1dOpzGNHTDZ7nSPWRrJWyDA3ZckQuQxkBLMVGdXpG6THXPqAGNNU1bwnKSIaKiBXJhc2QZzkKswOtMcT1VQv/0Svr+NHTOf45sR3MJnQu85J0s1riUCCX8mrKQb9qJWpAiJwNW5mG58xkeYVyw6nPT17A4xeKqhotoX6x1IKlQMPMEdGwWnajpPtcd0nraYIlL1/GYjXeafkXKZTVfj7na9YQXGV7hVcku+kvucSqoEAR5dVBVvWz1a2Xk8BUjC73t/TNaryR6k5k9Yr0MKoPrsWR6kqXXlu9vhJHpciF0JZfqnmYGiFfKvvl9fiCKHl1gkHtOJeWqHYRpYH6vOtadjYob7rafHXD6iBmWYL5yGfSOtOp5YEoYoKCFCwiF0rNVpR1jWUpjqrMX0I25VYyw0VeteK31vdk2VTApJbyRD7Qe5jnV5BrZ1gEc0AP0bL6WOQRNL1R5XPl2ig3vVIEcoX4h3qHPHmIS0tTkeXrXPNKQcpO8hoQ8ChDDR0ng27a3IOXsyMlt1elNOr7VwN0nusSXgUiy2R+Wsey6oR+K1rFLWemFGAlw5J6OxBe0drwJfVZpWeitgbKwlV3LepxnlNQNT6+9jzYxEjxcg6zVN5LFyTVehmbKkGV51FiFRUyLfO2UsnQ9zx+vmaPhQqsg48VbeMLasZVKZYq6FZdCpbOsWpgLp/zeYsqzWR1AJbenxZVR246yGhxMx8Wh2w6yGNkgpdyR3nlZUcAfos62UyindUuyJggR6b4stKMCSpdueViw6TSIaTN0mLRbpNIQaaN/+H9h/jzX43R7bVx+80hPpsLoIV5s/Xht4qSpTpOlItUrp48HxX1Ti0wR3dljFzfWJFfpd91zRzdQsM8L+A0M8SWxV39OKopsYHKtiydy1/rXS3VS8jf1LBL2Yyr6r2uCCdKISshq8A03qFyjqh85+eUjfqnkNZPeFLSbS95KjIcKBlTonBAuJ11LrYg5JcCJitJ6Ed+r3KZK9dWWcdq7qU8V/VzrnKo8iWqz1F9ayoijSpWkML/m3uyv61gKs27HH+Urqj6t3YjlSA+Xw5WLYaaSCxYKqIdCD+H40FCW13Rv4ZcybyA3tHRMIAWTaSmkI9zSJREF/1QywUuGzWVXC5xLdz0WLTrIOGvg1Jlh4LyWivwxLRsxJS3pJ8bHaxu3cQd8wjUFOjs4CHQ+Zqszqg6m5fuV+19lEtV1+RqjatC7Opv1WGrvHN1nOiOqfm6dBMY+ZvOc3hUT80lKQtoeov942q2iGoopd69Zk3qikLl3FVFjDzkFXWwUhaliyoFhd9PrUHpUakX1ntPVq5k7ZZR81iFW8vOT10AKuYN92yVi6IUyPIZE59ZUvSqd5Bfy15KOQywlnesCBjKbKjzUhdwmRWo5TjVk5Zd7BdKMFD/qg+t/I5KYFX8WJcDCWbU3GARz6mlEVfMSKxMd3CcxIeHev0UTMcj7ewVOSIvRisizmzA9DxCI8nRzUrhliVLS4weKaqKYcQtMk0U3IFcpCKUxaLKhzSJOSVC6RnOY9KX6aAgV5Y+x7Q4llzZvIyX2jbatoP/7u4ZMjeC5pC1lG1HuCBauRG1eFIdgnIJa9ZwuT9FueoqlqmOlNDcJjTmD0/SHE29QLPt4HQxZ8Q64WZkpLKkWyU7iFeRU2UtlgAdub9Vg7FaeZ48A+o+xHVV8SZ18lNrXYUTyqWri+CSiVkqKtCec1HVBdatmYpdlZDU7+dzjjIDbpUPUDcclcWsBPr5dSkvsuwXVTtVJdJFP9cIBCVxXTmGv4VU/nYxpnKJlq1iqWcVdF0G75U1LYHE/x++tmofKV5KbpyOPAt4UakRFvV3jf0Ihku5QypGlsNMGWWkQ6iMkxSCmllfqpGQwpYnPuJggjz2kcovZAGyOGQ+qCanS1uGjkZ3gCzpI8MaDLvDouyaOk68FJnu4sbV2/h0JgWZSr5kbFWS+5f62ojvRYd4eYV1mau0YE2BqfGRQgjIMyCRc40cHRompGnoaEBny8Wj0xBUqhlRTRz1rifObI2yXZkmGYMr11p+qWJksc+KIaOERrn4dD2CfCF65wqFSHtVxYHSbyyrb4QvXw9vqoS/ChlkRUsZ+9UhjYL7CyshEOugFKoMYJZeoJDROiBa8xbUOPZ6KVm5Nr9GaUm3fJl7u1xCJggpdRRZBQB1l/kFk9jF1Yi4rJ7fqY68spjVLpf6UT5XcQ9LF0XtSa1yoFogsWCEcxK/JsponHsGo+ui7eRoxQXnNudlBro69Mv1EeraRNtF2s5k8gD+aBd6PGWGUZEmaDsukiKA4Zq84xkSNNweJqNTbKz0YBoLWNkMUdQDzA24BjBfeBjN5rh+cx0P5gnnErVfw/dUm8VusITvq42Tf68LZbnw6p86RU8QCCjC7Ng5epqJWEu5btXquZg+jGAXGWyziZA9vrDK+cm1qMxO/eCov1dFBdQatNRn3HGQ0laiKTYl1HlWDc+coX0ymXGkXNyl6O3XUjdV4n75wGryb2URgtIbfEZksCLLxiofTrq7LOg1LfMcqFRejzovajp0qfRqwlaefbmPSiilPKiRhqXiKa18Va1SWfE6geRF5jHLPFCVVxO5ulqcWQ/kWdtKEvtSXKmsWe2gLAWtiuYsbpC6qVOf11QzsUgy5oPmSYamo6OdFOhbOs5SWelRe7vS5ahvhnxPXTPgJxGmszGGLRembcKyHTQbbSRpG61OS9bqaWi129jauYw40zCZzTll0m3OYLg+huYqtq7cwL2jKVZdjQf2+nIatbjf/PPoNDeZlhZQHTAVT9eMeqmpSosmAAwV4dB/STD6poYoJiisQMvIkJ6H8OYZ20oXCXI94yoTHiZUOVflWpR2VFkhmTgXpGugYeXcgV1UiIg4kkb3cbd6nllC09rEvMwkz8SEMbl2AmKrpkGrj6koi9I1Vf1mZbK8kBekWmWSZVYVSPR/RYznkvNfM5C23O3ScgiQqHJW6s60ZFWVjqjiR9fOUq1FiGIbladaWU8Vg6tPX2qnuRw2vHCLWSXNK0L6UtyjUMQ6KrpUaPtr6Dkq3VcGXvIP/COpZRqWmiIyHMwyH3NKlYxzuI6BbJKhS13xlBZlFFKU8qglr19bqSCKCDsbQ1xeeQ1ZHMMwDZiGxYR5+h/9TJOuFQROByEhQR5PMA8WsG0TL92+jIsXWkhCC2NKk1CTsIYBP8yWu8bVyNpKAMq0hbxG3oTyMNSYQHUEt9YjhcCxnAcdZNi0dczjFA0U2LRzFH6IMCaCgwkbMRKNpoY5yNnt/DVBRAFWKDSKIuLp3jq6To6mLWa3GxTDEy+dJ00rhVcgSERzM2rKTaQAzjzJMe1cBF1GsuJMlMey3k5EWUrZH0c8xCBdul+K0Ln7u0SXeSQDdS0sjV09M1jjXKufaimOOiNNiUmdTSSWvBZX1sII5V6XZrF8UhXTKk6t2ukKKqjMwheSxyyRzdIw1cgGNTJ/WfmgpK6W41qyqdwjp9qgUniXjCihNNRCMoNfWPANncfNxUGC7oYN+yjC0NS55ImHF0n4vBwkpD6v/KAcWp4gmB1iXsyh5RF0iyLZDJkX8FgEOjeGTu04SBhjOI0GTMuBbWi4dvMqsjhAwwWmXoCzw1MM+ttY0GSzOMVOz8WBF0IzRF0m3yMHQsopU/FN1QBaeBVi8ZbGGpbKRcXwkpTA9EvhuTTMApdcA3ZMJV8aem4KX+shjn3uN0Rgj+r+J961msSlzpZh5Gg7GRyDprPRnJQUbVvEjrEcgRBHuRyHIIsGWInImZiSvF4SzisRWYqPS/skD4oAowiBV4pIHHCe4a2pOE5YIxopSKBSIqd6V4n+SlbqYbn4z3L3fXUNtbsX1yF799T4BvIsS5ZUnXWkgK4S2KnCtApIkt+rWLUkqFTeygvmysq8nPpROPxS8KSwlcZULZzqKvBcBlqGWPXFrNP6lgSZkFHL5Sr8OIswjiP4Yw/DOz0M7obYLDI0DSJsq8WQoErZGqO+GRraxgzdfoSGZcNwOyVS6LSpmlFDq9vC6GTMVs1yXGxdvoSjvSN45yMYjgE9caBlAYYW0O+0UdBUrULDeZBiY9CGofnIigQ6AUCSpE5UXtHnRrk8y7q6cvKUCNXRtaqESsVFBfemLdCxdehJyladbLvZMrF7nuCUhi9R8C4PVhn31N63KjQuEMkJalkmQgKalxkkakI4eQwEudSsLZ83SWpXXd5rwE0Z0z/nXlZdAyprKryuJXEGCb/aL/6tJOhX8lgrh6k5pSUutLSm1ZkqI1/FWio/QfbuLXmuNQJH6ekIT7ACokQdbl3gKiMrFBunqyTBXVzbF1L2JXV3udZLZlDefI2FwNpZ4nMyVhLy8lzFem1dxc+1xZT/TfMURmEg1FycxB5GpwmGN220qDFekGJomJjSNC5JvyqjgPIcyvmElIA3cwQx1VA22eei+JLe35t4SKMc3iJB4EfIwxiGHWKxSKBZJtU4I0UMm+aZiOEL0A1TtA7QNJyHGa7aQNfRMaGTpUbsKbdJCYQSCjkbpZ4+KStNlmIxiSrKzVauJGn6i3aBcUDU4RzX7AJ6W8O9ZxlOuY9uhIx6DRV26cUoq6biN/V+cWEiiWh8Hn2ewS6tGEZUV531XF+dKVQnFC6dlPLQl/n38vXqDBAZo3bPshMgyglcy4JVAofqmqRGKMFEVUlUC+2WONCcAhLnsg4asftcrrO4EFUpo8Ce5THuFRCk3OlS4LkqSQigoJSryPULYv4oXa50VAn4KCDo+U7dXAolWCIqdVC2xuJfKKZxpZ1+rZalxY0TZGGI3NaxKDKMohRFVGA4NGA8y7BlgedhirpD1XlOXJsK61VTK41GfWkJoiyGAQP9bh+LYMHWIc5zGBQi0ozHPBO81zyCRSkAvUCYJDSLDrpRIE1FKxH2tgGMYoqDcmy1TcwnohMe20vZlU2lRtQYeNVipKIo1gGJarXVEVd8TCoFpXshDuwVx0ARF2jqOVadBF6zg9MgxKwwkeo5Eio/41xqLb4qUxyVlZLHqCSbUmF1PTau/EUlAfIA8H4Jr0ANuq3HVOUe1pxp8RfZAaKg9hNWWchND1FkXHAEXb6NStmULCp1XbUyvdLjrNha4vxIq6cqeTTaN/q5VqNZejKVvJdUvNo5FN5LFVuWZ7YUQImvsPcmUlTiehTh5TcXzOdHPvy7H6UlrH/VviP1QPV0wjcpv5SAKllUmo9Rtuf6s5ajLGqGlyuZLLJqCQ/USQ0b0zhDOF6gf72JNSPDBR3oG4IxJOKvKvioizl3wqMDkeuwTDFmL8lTuE0Hw5UWdnYGuHB5FbpTQLMLdAcNrG8OxJBWS4PhUKG2JSygZfDrxfiEAoskh5/m2OpT+Rcld1L5b1U8S+givRf3xuH+OAJtJAUgEMhyHpe8YCVAlbUUv8uw3gCclIYdEcECaPR17J7FOMgMxLqJSHOQFIqiKDeb13N5TWpeY+0zlTKo/kDxsmgnU81hUYe17OhTI3dX71615lQhiwIIkzhBLputiU9JYVs6uk3BzFLRkmIcCSVPeWKpYMreU/KrrEkXxkDF5eJfcV3NhoF20ynDCkKtqtBLKSvp7XFTMR4yyAItXFl1r6rZmlJ49WMvGmWXyk9iAr+NxfyNBbPKa0mXoE7MLn9WCyGH+CjkVkiFiPvU5Gi5gJykllZVTWdWOlZwKwUABNvCeDbFoijwzPcwOlhAb3cwbABGHLPVJGo7N55iAoECV6rhuGWsaxpynomG8ckY85mPhMaqk6VMgY0rl7B94wriPEVM1qnf52u7cOkiBv0euv0ebt1+Cc1Op0Qgw8zAJMwwbLtMPGDMVBWnsDsnBsguzQORUB43hKILKmv7xJfByGTO9agmUuiIYRYJLD3FDcfEeUjd3Qus6ylmuo9fHaWYJCminKylBH1qBP+6Z6K+W1Kzco/Kwhj5OrWPZfhbk+Py3Wo4gzqclQYQykRYK5EXFVxlH4XGJe/8e1JOcZTwojlcsyDKqsRHS9eRQcPae0vlqy2VnIkGZEKY1GS1HJapodXU4Xui12+pfJR0L3mDFadaTIpTX7V24DVwSxgZ6caWOf8KKPotZPK3FcwaKPO8JpKboECG0hKWvWnq9lUCBKUWq1yrJW0rF0xti9locPJ6lukYFQYOJwnScYrV7RaPo1vXNCYb6Nz1Q9bJlZq0cgvps0WfHg2abcDUqbNcjCiI4Hs+/NBHGPiIPQ/ZPEKwCLjukdyQaRwwL9f3PcxnczLlKCTxnTopjMIMjg2stGjILNvI0p4o4RRj18VXrn5HCCrrWBbHJUdTdf1jm8IZjAwXGiaG1Ahb09DVC2y2YvhODydxgaTIYBQpbDNhZFk0fxdWWnB4xUDaUnHWFewShlDtg0CYnz8Qz3lPS8hoRZJT7112L1QUyELD9Y072B6ul/Eok9FpfaMULdeEpgu3s7Q23NJAHvwyp15zKVkgabybJMHwxZOrLYDLVovafNJMT/keCn+okQ2UclSgVBVmVB5B9VlyTSV9VPxbMaNqB/+3fvx2rqw0mSINIF0LBVsrK6m4P/VcSqlVatpXHkoFeTCpXLkJbPmkgOuC0GCYDtB0sYAJr9nC0yDCYm+K/it9XO5k2NYKjrnkca9xFsRnE++Vro1YPhZtuqmj2XTQ21yBRiOTcyq+zpGShTItJEmG3DARhTHC+Zw3b3E0RbAIUaQZJqdniJNECC1bQ0JmM867bvQpvc9ls1Xv2DIeV5ZFNoWum6YaoFb3IBRgRP8SVfBOw0KaaDzteRsZWpsNHC9MeBnlGnPYrmAGkaZXfWhU6KBcMU7a1y1D6ZZVlrVSlJU7Wt/L+rGoK+rnD2OVQRavp6sJ4zlOZ6cYz2dyApoowN/a6gjigJbDNkXViFIe1EW97pbzGZPNt5c9oxztlgnLlBU4GrGgCliWgTCKK69O3p+I8ythU2tXFWfUXYH6NiqXWgI8jJ1RX2L1RXtsMKGFrr0k5LxIwVTxhTDlanOqgthKDJddGLUxy8He8rYJdSxbEahzqjRuCVpTHXIXmdvEzGzhICuwf7xAlmrY2HHRzjNct3S0japJtHAopb9fo1MR8kgUsoBaPaY5TNeE6VhodFw0Oy7/7LYa6PSa6HWaSKOIc5wOsYQMk1MfWZ5zoyvRIU8cvFGYIig0rPcbbIkroEDGUaoJNFsH1fKyOryqN261chVwoaiJl5s20jjFNC/Q0DTYRoSF6+LDkxCTpEBK12PJlit1d4zFgQ6pEELR0U3Fvwril8+rhSEKDKlcRmE91eFWsWZ1bivLKxg74jNF/zzVgqOAbThoOmto2ZtVXEjW3tBgFAX8IEW7qfPYReUK09/VtSuBVdcrlLmwhBS/k2BSGMTxvKGj2TKZb03XRvgfobBkWPmrLOCus9mqKqoK3a/OtfI+Ki1Ki6LCh+WGAmWi5Lewnv8e9ZgVcqo0yXLlQyluJeiznLqoxQTqvkqBFqKvxm2XlrXsPg5kloNFCkz1Bj6dBNj8cITejTUM9vcxTxPcbFp4f5FwCoRcTfXe6hDpuYZ4GsJwHcQTH/PjGVKyfCTMdNA7UyRpgpiIAqwNSOPpaFkuxqmHQbuDAZFk6T2JSJAR5C9uMIzBVnOr20DbMTnmpOPIiuFzN1xrIlsr5FYrpHJqXLlFiqAo0DeAlxsGZgtCjFNcNFM0d2y8exBjN9HgpRGsto2UBtY+txMiRfLcZIhSqMSsyHKWpNznKk8tv5eQsCCrV2MSKvqEUkR18kgl3CLMF883zR5e7l+HYbbxk/1D5Dx4SYwq1DRCvWMUhQvLocJ42f6TL1a+fxnfyWRFeWZyNFwLSRyz60vUQcjfjc59AcyojoQsMLW63jLgkfsjr5mZZGq/6hUpSz2AqrMtUieyjlPR+MruBi86xlRu0PNweznCuo6QVWa/LhSKT7iEpClUqxT0KudUn60pyAJC95C14ylfeYFnBAJpOa7caGFYxHjdALZd6QLJMQTs/6uWg0WBKE5QpCmyOEIaBcjTpBSCJIxZ2CzdgGWY6LRbcGwTpknC6bDFNAihJZfFMtmKqWumPODRTLCJVrtUrCY5bOUa1uK4z6F5dQBN8jL5f5TIzmAjx+tdG1ks7mVbA9ZaCeJ2H+9PMkyoTrVh8xAhss9V/C8PR9XMoTzIZSsMKagiypWdB2poK696RoCJGp4klKcAY56zKOpzKY6Vsax4ndp/sogkMynaPcAZyIMvsG7EcSIG/cKEH+RoNolFZYo0lzQA9XWq1LbsmkD1qU0ToR/wAGNau4adwp/O+TOF20krRKi5VATl6xUaq6w87V/K7CQRSwoEvS4DYtSefI/6v2URv4xXf0vw57ds+FyLF5asZg0o4P+oq6g9V14gE1JKoZUu0pLPXo9N5Q5IVUNLRy5i7AfwDB1eo417sykufnqGtTfWsPLEQxCmeNmxMEoSrt9kM1COv6v13qGRATodAjr8oviZ3FK76fLTIwQshBYT3C3oKcU8NmyLEvY0+5IYPXR8CS2VuVm9wPkkQK7r2Og38ejUk5qzmkxZJafVyqpYpkaMkFA+d03lfKqGG20bjSTBaVTAoBSPHsC8sIq/fLDAXmIgk+PtaTy9irPEuJTlzlTsEtO8UdMuAwW5DZ9DD8ttJG9ifkjwNGC3y9xlPd9X0QyWXTY1NFf8vlQLCJNn+P79gJVYxoIg4mnTtgE95etOmAKkwXEFB7nhCnYSKebagRNsXGnZNd2CTSx7SmWlVPAQ4XDvPoaDJozGJe4fJWxEvaB5WUFRPS592Y2WKKZn6l6OOAmRJQFsyRirQbPVHM9yMQuE/oTdb7fRF42wf4vHb04wUFN6JXmpSnpXsLt8ZjXApsbMLzusq5tRZ1S6SXV4oMxs1NBgtQ7s0joG/CDCuWvANVx88GyKb2/1ceFqG6NPfQwSDa+3LfxqniBS7hj3DKJGWsCdN24Svw/94QCmbiJMQri2BdswkNkmW8JnTx/zYI6G3USe65genWJ9fQVNw0AUnMM2mtwDKMtkKoDnaRmYBxHT2Vb7Lqc5UkZJRb8dNcei3kJXLEfV9U2xUlQOkAR/y7XwigPEixnCwsYAGtY2TNwbJfh4QYJPlluqTgVqkPCmY/jmENBoBKB0+fIMTnKKTF8FDGpULYVlaeaGEirxPcXX2+tdnEUm4lo2jgScPAdNtwXFoKaQ5TGQZ+G5fHVODKsZjg+ewnJdrK5fhUP9YgqDlYtJ6SwKRaCzom02Re641dCx8FIG2tR5EGQC2e+XlH8eY3Tmod1vYzEr4NoOUgMYdvqYUMRb9n6q7peHu5WObYHEP8Nmn4oDqNic8tLyM9Ixrqy7OFsQj7i806XSb3oXcsOTcIaWFeL6hSGejjSEiWqT+oIFk1FGsfMCHSvnv9ZjTClkNXZGFUvXhuiU6KOshVN0PWVUpHSqWs1lOASc5I/jCDOiozVdfOLNceHeKW7/wVXcnu8i3UvQ1E3MmjY+9SPusKeRFqaG0YWG/c/2Ydk6DvcPuNAzjELuNGebBpxWg3Ot/nTBo+J1x0GhF3ASYG//CGurA/RaAtWldSDonVFjNk4akjTF+dzDlfUuWraJaZTKeRb1Dg9LgV4djJXf0loX0JMQ/fQcLzdXUPgmui0LXV/DlUaE9sYF/PndM6Qc80mXiVw+mYek6pJBq40oFO4/l1axV6BhfWUFZwF1HqybUmkiZeGwOnAKUxZlY4QEy5kp8wk+fveHTNQYrF5Eu9eH22wxek7dIQR4IrutlkpZ3GGCEHke4/K1y9BMEmpDkMllva/GGy/iuiQukFNJnZ0ybdCfL5AQP5hwgDBAHPkI/QVCf4Y49BHHHtI4xMaFHbz5u38Ljmnj+H7GaLVuqpK0KuatKJESgyh0tBotNO0Ei2AM3dgUpXo0O8dtoNloAh4peYEky2Nc6zZIyiHEjR0S0CY3IlfjBn8byfwtBFPV7YkqfVFwrCyn8lJqcDIdxpoHU9VwVgdBuR/lDcqTyRBQzTFXVekiThEpBr3VwHwRQE9NFK0e3jmbY+WDA6y+tYWd+R4ezmLcthxETQuPAmqipUHLRRd1ygVmiegnZBMC226x8JHrarcaaLQbiLwQURhhfXMdbquFvQdPsD24DiQxotmINT25vmmcCJSaKtR06qxZ4PB8jlsX17DaszE/jiRwQe6yREpLQvrzQJ1UPlJhDVoOvtPdRHB6iCRro+/YaGGBwc0t/OWDGY79BPMoQqNhwG0MEEtCBtdNIkMcUDmaW7q2SkDihKhwFCsq9FQBUGVsUsag4qU5At9Dnlmc5oiTFE8ff4rp+R7f29nxngQmDe6LRNU4pLQoZWDqBnTTErG5SY2oDaY7uitt2N02TMvC2e4eDh88ZaT74ccGQj/kWFNYQYGs09+yNGKFTN+Lv0kvYKlFhhDu/SfPYFg/xNWbr2Cy8HAhjxlPoCokPs1U4kecYEJqSzBODB6O/Qki10KW5EjSmYguiwx+OEKvGSDwDMRJVXcrPl+WHlJfqjSC5wFeMEO75SJeTOATdbLTe/GCubHVxHQcIIrocEsNyDnNGkpbo2xVeUQlcDXBlAnYErmVT6obkFLQmQxei2HVgSat3GzyYNaRYeGJkeJnn53j9zsdXHx9HdEvT/E0jPAN14VRWLhPwikbA7eHbW5R0mx1MRi2sIjJYmZMVNcdC4ZtQosKHggTJDHCcYQ0jjE/HnHIxm1HTI2tJlEFBXQuDjHR9M7HcyR5js21Fp4eT+T4d6F12O6UB6mSTJ6SJd1+cnobDvB2w4D28D6KwIfreNjpr6N1s49/9ZOP8P5JjlEUYxpOADvHeUTpAfE+XDTtuHj7lSv45N0PmNfLvy+EV/AHX38Jn939GKPpjHNsbNlqJf6qpoJcTtLBZBW//dZX8OzhfXz28D4LFi2kqsig++PqmTxl8kYUhrVu5Mssa5Vm2Gjexuj4DIZlYDI5x9HefRYWcSQLuTByNEMthyroCcI7YKGVIxIFw6em4ooCuw/u43h3D8P+CuIoxocf/CUTSJSPrip+apE2f/W7HXzl9rfx3gc/wemY9k88Y3VlgK/ceRu/evcnOB1NKyS6BAaEwiXD9UjXsLGxgVduXsbx3ic4n3jYunjzxQvmn/zJt/GTn74D1+7g4GCBs9MJo+fshjLLrhJOlfNU2lclbYWnK9Me7AIrFkdN4NRrlpgnyvMTlkm8hJg7JiIiAoQxxoWGR7DR+3Af3/zuDVz/6gDxz0c4iWO8QgBDbuBRGPFhi6IQlmVzETFZ30ariY5JiGeEVrcPt+0iSwiNozyhg8ViymR023EQZRG0WJRukcXsr3ShPTkVbiLfj86WfDxbYHulC9s8RCo1vKA4KHS21t9IghnqKHctHW/2XHj3PkJ6tI80jfDyeh9r117GLz6+jz/76bvwzA7SVgNuI8EnD/fghalolEdCggLDXgfO6zdwsP8QIQmKXEzXpmncL2N8foTDk2O5u2KB1SSVepk5vRe9Js9fw2IxQxT7/Dyd2oAxQYTVivQGNO4EwVaDFB3P6yDChsP3QMQNckEpZg3GMxyHTzjPSMXWOo0LJDaW5iDNfDhmA3Hiw7abSOKIi9ezLIWhmxxHGpbDFpTGNKYZucaVtSyDn1xDGHgI3SaiOEYUksvrPVciXYmlWouFB0RRxtdKn63+TvfPNamE6KeC1vfrH1QRBUynU8EHzjJkWYyD3c9evGC+9+4DILc47rp9ext5FmJ0FgrAU8URknRejy1V8vjk6ADebAbLttHrdtDtryxV8pcCWuY1q8Cal5viOJnHIo2kOunRBcz9BVuxTsvGR1EC94cP8MYfXMWVGw2En4YIIg1ftRzQdIVneYCV1R6KJEOj5aDl2rBcB2tbmxgMGkhSEwTY7j9+jAtr6+j0VhAELg60PaxduMqo8P7Du3Ba5K4BWZqUSqNCqDUcnEzwO69eRts1MPESaDT1mht1VQwQAVYT20iggpQGWXMtfL3bRHh6htnhMzQtDde7bWx89VXszkP8tz94Dx9N5+i2NeysGnh0dMZCKXJ7MjVBrl+aYjSeyrHtqq0IAawZjk7ORZ6vfNSUolR6pWsrD/jB4THG07lEZC2Ow8vaUYZ/c44tLdvlFANpKnI544TQbYvXyXEcFljLcuCfj5E5Ebt7hHQzNbIAWs0m5osQjusiyUI03AbyjMjtDtfcEuBGrCxCy0moHdtFlhH3OeE0GHcm5C2gIoMG8jxCEIV48vSQucvqhDLrqkzTqHme4obDKMKv3v0Ac8+rvDnCHYIQP/vZL7HwfVE1JBuGMxOO59ooBpOgafq+j+/98BdYBKFQLP+LwvzvKZj3P/kQDctEp9fC48eP4Ht0mIh6pnKTkjheJxLI2CYNF0iDKZf5pFGI+cSHbRlotvtVAqwk/Sp5rlIItPG0OSBOKfWVISjbdngzyWqZTZsPTdM2oDkWfjEPgb94ije/ewuva2e4d3+OszzEy4aJpt3GM38EPw5xfHDIqB2h8k7nAbrdJqZzn9Mj+w/38Ux/zBvs+Qv0Om3cuHSVLgFtR0PDMqAZObtG5FKVLphMC5FgWu4NrA9cTBaEZZL7RWSFWqJdxiYkkCZy7DQbuO060OYewqf3uRj71UEHG2+9jE+mM/yTf/uX2F2E0Bst5I6Je88Oce4lfLCb7TYmkzELv2NRtUwPf/7DHyKJKSerYWOzi7PzBcIoxV/8+MfQOSdrIc0o9QM03BavccTxp4Z+l1DSAtNZiLRI+VB2XRtrvU0UWhPIXLz9xh9gzV3Hjz76c8yiE7TaDdx++Rbclok4TvHg/hMc7J+g0WhhMj5Dq92BPjUZQPH9BVrNDgwC0QyThbhtm2g3O9CMFI7pwm2swnHafKhdt8HPHQy24Hnn2N7eQb/fxGuvvomjo3dw8NTHk2djNBrUkDvGjavfwP/mP/lf48GvPsU//8E/hWFHyBFjb/8A65srWN/YwicffMSxY7ffR2+4gr3Hj1hYB6vrSED0PZ6KjJXNdfR7Azy8/xme7B2gt7qClVYb+0+f8R6ubGyg1Whi9/FjFvNLN66i4Ti499EnODgZYePiBTiuhacPHr94wfyD73yF40uyjl6a4f13HzACqWYPsmtXoltyuK0mckKHR/vIqaaS2uvTaPGM3EkPrU6/lvDOar07lUCK/yRxiNHJLtqdBrrdBub+CElCvFgdhtGA4zSgNYDD6RxFz0VkmfiRnwJ/dQ9v/K0buEFDiN734Mcprtou2rGND2cLPHp2DKfhcgU/aWK3YSOKYliOw6kSiiMpG95tttBuuBifnouUZEbcR4vpkP22i5ZzipQUh9aULaPoQPvw4hgXN/t4sDdGUZisMcnFYRJNmsF2G/x+bVPHa+02mnmKqefBOD9GOjrCdr+JwZsvI77Uw8/+p08x0toIjQR3bjZx4WIf/+xfjgSAZVsYdIfsOpHwN5oG/tE/ehn/t//qh5yY77Qd/Jf/5f8e//X//f+DT+4dIEgzbA4HyLJR2ci41ekiCUMkWcq/+9Y3r7Lh+/O/+FRMKStiXFjrY3tnBU5rFZrWwj/+B/85hs4q8n9+jllySCEmdvfOcfHyFrY3LyKLdPRbQ2xf2MF0NsF3/+hv4t7Dh7h58xqePXqInSuX0HabePZoH14c4aXXX8aPv/8zBFGM8+NzpIs5wiBB2o+hFwacpgXbctEi1zrMcX7g4RezD+AvPMy9Ka5dXceg12aLdfXiq7h14TUYcx23jq7AMKkXUoSZNxORK+WnGy4aLZva6jMNs9ltw226bCPMloNGp4XOoMdehuFaaPc66HRbSNIM7UEbfX+AdqfNnGmic/ZXB+gOe8w6y3UXnX4Xw9U+JuM5zNxFq9V+8YL50af7GE0XSMMArd4QSZKzK0H1c7ZFMaOAt9NImGtyV4jQLWI1wLAN6JmwMqZmII0jaMSqYNdDdDDLKH6jDgGSw0ixCLdpNFN0rqzwIXRcAhpcNJs25rMRu0oNq4XMClG0c5zAwSKxETcy/NS34f3pe3j7Wy/j9bdMND8+wZGu4/o3XsOFZ4d47ZVb+PjZQ4x9D07ThkWsmTTBYkF1kxr6A9q4FkLqkjBswXYNWI0GxtMxW1bPT/F0lywBoXwzuG6MPBUJ9cVCx8HhCJcvrMB+9xlSLcd8fIxHd+/zzRVZitu37+ArV2/iimsDUYx5lCL252iND/Hqzip2fuctPJgs8Of/zfdxSLWXG1u4c4kOQ4GjkYkr129iMOzjcP8QqzurmPljbG7uYG/3Gd751YTjvTdevY5Hz07w9Ol9TnK/fOdl7B/uY7g6hG7l+PrXLmJ39xwZIa5hiNmiy67o4bEHR3extjGEZRB/2EFHjzBeFFixDbTsHo4enGN3sYd00kKg54gDH6fHx1gb9LHnP2GG1PbmJrzJHBvrF3A2meMrr72Gs/MRti9ehp65OD6awfNiDNZXcH4+xqWLO5zLHXWHyL0TnBwt0O27WMwjXL+1hr3dGa7dWMWzRyMcH5/AMXVMopjTQ/v7x8wjNs0m2nkT//3/8xFc3YEeOhgnY+bKXrx8Baen57AMspRd7FzawvHhKdqtBpLhEIPVFZydnKDdIqHsY3NzDWeHh+wtDoc9DNdWMDkfoddyEPU72FhfwdHBCfodF9mgg8FKF9PzMbqOhnTYwWDQgpGSgl7FSec3T4L8xs8cTyKOjYgxQl3JNTOCnhZoNci4jHB4cMhWkjptmFTSZFmitYWmYWUoCrEurg3Q6tg4OBohSklTj7mruWmaMK0YszFVGoi2hOQKicoAg8GDZsvGfBrwJTcbNO4uw+r6BqIoQZElLDjtTksgoHHCzaHP0gyfRMD8x5/im29dw81vr8H5+ATH9x4i8XxsmxYGzRV8oruYWjRfkoCICM0G5WpN2WGg4OZWR4c+Ojd7ODk5Eahnu8XxUpAkHGK5VhtGocOxCWAp4FoZxqMjfOWlq2i1TMy8mBk7tkl5LlqLLfxeu43O9ASTbAA9T5kmaJ/v46WLa7jy5i08ODvEjx/tYuoQa8XCRjvHoGXhfJ5gaOkw1trothtoFH2s9Cw0rq1j2O9irbONb711EfFkjre/uopBC7hxaRtv3CYBdLE9yLC62oMfmPjOV6/gwZDIFTaCMMDRcczpiUuXmrCMBnb3XK5RzcIEp9MCZuZAT/u4tPEaXnn7GpIghJcUeP9hgnF2jGaDmpy14RguIt8HRTum4SL2Qzz54GOcPXiK6fgUGpEIYh0n43N0Wy2M9ql/kok4yGDbBaanPvqrDcRxjvFpxNU0d9+fwl/4mJ5GyAIdlr6CLDbRdTNkWoyZfw67WMN66yp+73dew5tfv4YiKND457+PHz/4IVa6ERrrGi7d2kCraWPr2gXYloUbr1xDHlPueIfPYnx5gF63hbff2MHAdVAkm2g3HPQaV2FZBVr2FbiugWC2jmbHgZ5vwmq34Zh3GIDTKKXm+zDNHYTzAO3BLew9O8XpafbiBXPzwgq6rSYW8xl0p4nIC1DoKZxmisUC6LW7jJpRrpA6l5NQRUnMZp+GvRIYMXcLXLh4FUHk4u69fZycnDJk3eo0sLPTgbfw0GwIbqRlGmi6TTRabXhRxoG707DZkl68sImZN0WapiwgGVGospCT54ZZILMLhDMNhUFKJOGKC+8Xn+GNK+u4dvsmmvfvoxElOPE0OKaGl0wLRaeP/TTDrh/DKyjCIMtuIaIKFPICsgJ7T3b5frqDFhzaMAb3KM8m0EdSKkmmIfZSpEkOz58wkLQ6aOLRg4fQ4gRv37iNm502zLmH/HQfXrcLuzHEmg709Bit1y9i5dIaPhqNMDYTXHljCztJBsdJ8PJFC72tNR6GpBp6EMne1nIEUQqTXOHJDKHXwZXXNvB3vt7n7n3/2Z/cQlAY+O5Xvs5WMgsD9irC8RS66+B337gtOvBQG848RpYWMGwLQZjASto4O5sinvr4xcMCv/w0RbCI0DRbsLM2Nm+swTuP8aNf/imOxk/gBSNs9f4Ovv7q7yBaEAkgRBTN8ex8zNzjttHEaofyysB5Mobdi9F1u9jqDDFYaSGIAgz7few1R5h6E2x2U6z3+tCtDvrrqwgXIXo9E/MzHyvdNjcd+9HH/xr7k/s4GZ3jfGyjgS62L1qYPJqhoxm49+B9fPrgl0jtGW7tbGFjvYtg7rObeT6ZoeM0cD6fYn1tgNPTKdfjGoixPmhgd/8IF9c72N8/g7XdxmS8wIXtHh7uLmBnGXfA2Fpv4fDePnY2mjg8CbG+1sDR/gxXdjo4O53iK8NVPDtNcXj6BYA/h7unmDapk1wMuyNaMxCHkUawm6aGdpfGz+loEbM/TDl2WjEpqBeoLPnplOR/ejiHbjRw4+Zlfl/KL52fjqClDr7+9hV0Ww6CMGKgh9wUw27h488ogW1ge20DaeRjMp0gTiNmgBDJnHii1BNIpyFDjksTbdHsGkgjA1O0kOkRElvDdO8E+8czvP7qNu5cLdB/coD985RjXswnuNPqomd3cJZkmGQJxzqLOGDrmaUZDvYOmR/rUv/YKEGrRbxZQX9O44yYfOzW0yEnxUJlZaOzKW6vrsC3bPQ0HVc0C8H5VOROjQZWCh0bmYcdR4e9PsSpCTya5xgnGh/kIAEIQF2zCzzeG6MzN+ElorGyZRBYk6PjWtwIu2kVOJ+n6FoxLhoaHj31cTYLsdIJMA0TVhCvf+0OPnv2CKPpBI5uY3ZMdMQYcRpz/1jaV1Kiph5zfNdrm4h8Dd2mg25fw2ClKRQCeRdT6rJAOIMBzS2wdmGA5GCGXqeDldU1FHbOLJzpoo1GZ4gk1HHl8iaO9qfcN2kxfSBSH1ELV7auI3UmuHfyKb7z3a8hC47xysYVHDw4x60bmzg5iXHnd67h0ceHuPP1IXbfO8KtmzvYO5zAekxnbYBx1Mfmeh+Z76OhNdBxXe5GbTs61rbaSG0N7ZUB2sN1aOYURqONntGE27SxYnfQ6jRRGG0GolwjQ4+qhHoDrLcMrHebuLLdg3EpwuaKizjPRNmcWaDbdbiBG5UJ+l6EVtPB5HiKbsfkQvv+pUs4mxYY9FovXjD7jRR6iw67xejl8a6PZBHh+PCE2S7NZgsbWyu4fXUD56MpJvOIE9sEEKVUkd5piqohvUCjSQTqBpAGCLI5OkaIYHSC814TltnlRCiTzXVg7/CELSPlQik/WOQJx6/kHOdxzGhhUaSYni+wtjZEq+Vy+iAOUsR5iDR3EBUOYtvFKBzj0d0H+PDuI3zl8jpee2UVb13JcXbo4TAxcDSZolHEuGbb0M0msv4m/CyB1WljfzzF0/19JlYT6klMlsWc0kU2GrbOhGmqurALA01dx8C24VIK5OE+7qytId1qwezaKCYFmoWJKB6il2Y4OnyExLSRNDdxdDDB2CqwduUSYivmbvFuq40m1SUac7x6yUB3dUt4BbmGVsPAxPexutLG5HyOQdvAeBpw5/SVfhsXfo+AlTPsXO2zBu93bYyePcAbr6wg4dRGD+eHp+gOHASzBeMFBNARG6fbbyM8n/C97e2Osf+Y0g0aTEfn3OCFmz2YzRm8oIG17RVoRsbKubPoYLA+wJ23LsI4BSvFMCnQu+ng2UdT7Gx3cTWgODDHe3c/QJScIgz6uPLW72HqAdMPx+hvtvHSVyy89kfr+PTf7OH67XXsfTrFxsUOa47Nqx0YCwMr3a6gWxYF3PYArmPDsnQUrolPfnWGufcpXr5wG52hg2ZiobBaaNgFGt0OxmfHWL98B/fe/wU2r3wNo7v3cfnWVezv/wrdlQH2nz3F5uareOfDz7D59h188MkjvHRlFb/68BleuvM6fvzuI3ztzjruHfn41s1VPLs3wfZKH4+OzvHGxRV8+HCBr11ewdPjp1hz+sjSJ3i0N37xgvls/ylWt4n4PcTaZhvv/PAEs5MjWC4QhlR+FHEwneUmk469IAJVCp3u7WE2WWBzaxMrm6vcNeDV2xcRhjO88+EUn37wFPPJmBEso9lDr9/mfJhpAbNRgOlkgpO9MRrNFjptV+Y+BYOTUiXzxQJhEOD04ASPPn2Eq7euob/W5BknDCS5Bee9RtpltN78I4SNn2N0+BhPP9vDx/fv4btv38bVNy+i76fY2POwG1gYNwzEWYJ8fIIWgVCRh+0C2G53eBSAbjowvRjebIprsNBuddEgOlyW8eucggSpQJgWOD08xHBnHYZrw/EpdZEh9HxMoiY+CwyYF38X/a99FY/6HZy88wuY2QhODMT+DCf7xwjTM6xvrGL1YgOH5xN4doos8rkpWdPJ8ejJOd68Azx4Nsar13r45Okcr11qI7dbyKYLvHN3gs6gjfcezfDatT7uPZmjudKCZhVA08ajpyNsBy5OjmcYrPQQxjGcVhv9jSH0bhOaESEuAnbViSVHIF+SZTge7WP32fvQ0MUbt7+DKAugRSFsh2h3TQTTHPrEwHyawl2xkAQWpgca2sRN1qkZhYW1HR8Xhmc4fNhiLvCzu0+RhUd4eHcMI21h/+4M83GC059OcDz2cTp2cXTuIU01jB+ew+6EmFLHwjzFbDLiU+ERmSKZ4a/e/VcYjc8FV9WlEjy69hRGo8sptebqOoyWi+76BgzHRbPfprbhWNncgO06sC9fgdPr48rta2h0Onj1zlV0HB2/8+oGK7hvvHEZvbaBt9dW0G708dKljHsVv3y1B9vK8ZVbm3D0BLcu77BH4fk+Ts9nL14wV7ZXcOn2BeiWjaJhcUqBmBfjgwmarRYyJ8bJwQk+odF4BXD72gAnR8cYNgNMDsbQAgdNc4i5F+NXHz3hnCfluE5PTpCGKUyL+Kkez8uIqQokKzA+m2N8PkE8jxDNQmzsDNFoNDCfjvlwmCSY4wlm0xnzMzs9CzF1RZ8RQDBDd7WD/loXVEOxyDKMelto//E/xHpwisM/+zd479NfYPcvPsGlX3yKV29eQdPKsOVYuGA78GwXnqXjNI15JqYNE5GRwqbi6AbQ7NhodwYozkM+6ESWJuCAoPs8DLmGs/Bi5LtnCE+n2Gk0MTg4wiRc4MF5jPHadbR+91u48O1voLm9ht3v/RL+yi1YZ+/DaToIFg6eHI3RbOhYSTpIMwudvo2NoQ3KuRSOjaatYXWtjbaV4iV3Bf2+ixuZhkYzxdG9fVy+vopXbwxYubxxrYtuR8el7Sa6vRb2nx3D3ujjtZfW2Squ9DQ0+jtI/QUVLOH86QMkocfdADxCMU2NS7SIakhrr5s0VNiEqUc0iAG5niCJKPFOh6qB6ShFfp5j78k+1qMNzI0CT3ZnSBYa/HmGzYtNHBwDj97bh2s4ePrJDM+ezhm3+NGfP8NXv3YLux/PsDiLEUxHOI50REc6ZtkEZitAfB6iGwQIV7q8P83WEIPsIubzQzRbHbz+RgNN8/ehpRbMaUMUziOHo4XQ8wRbPWL3+IhmJ0iCSzjdPcaly9cwPtlHe7iB/ScP0epR8+9j7NkGwvMznHQT3D8e4cb1DmZTCwcnIa6+8hXk2Qkag1eQJ5+hu/1VRKMP4e68DS3Yg9PdRhEcc/G95ehfgGCu99HtUwmUhq2tVVy/cQXHj+/DbbbhTReIwwiW2cAK5fsWAeZhA3c/PcbkdAovSPH46QSL4hjbmwNOt4xGtIkmBuubopMVlUdZNu4/OEFvtcssEfr76mCDmkNCS4HxzOM6SkJ6qX8LHQICj8i/J+osdSeg+CiKdMzmxPgpWPs3OgCV+XnI8clP3sPWK2+h+7/9P6NxcgDj4c/w4S++j7sfPUbsn2PYcPG7L13Gd97ahLnZxOzsFLNxxF7Bvj/HghLfRRt6msJLQziWBSsi6pZggfSKHK5twtYN9C2g1zIwO3qGv3jvLm7ffgUT9yLs33sVr377a9gzBnhwMEf6T/6MB8zqbhNOjxhR1Mmvge0LV/HV17sYnQeYLQLsFj7SZojzs3POJe+sN3BwMud/YyLPj1q4f2DhleEC33vnDP/wP27gL3+xi+++eRmes4GD8S5+9sER/tDV8f2f7OHtV000hjp6tgGjMUQ0STEeHVK3KhydhBhPUwx6Bg6eeLi+ZSJNCraoUZqjP+jjpWsvw9AMTMYRV28kRcRVGNSZnlqsRFGE08UZTK+D6MkcoRZhEgTYH42QtVbQWTdwabWPxVGC/ckJRt4U/e51jObnKOwMB9OfoePexN7RYxjty8wes1ZMHB5MsdpycTTy0N9osdBZhoFWbxNz75hDIUu/gk67j/m4gEU1pFRwQCh6kGB+eMrW73zxFGlm4OlnT5DEOg73duHYTQReiG53Bccn59DdLnaPR9hwbOyejLHaaeHhMx+d3iY++PQIunsfY30M3Rkhi85hmL/AYnIIu+0hmE4QhO/g6p3X4QUJzqfhixfMpw/PcHgoCn+P909xcvQYza6LPE+4ImPj4ibTsEbeHA8/e4xP7j3EdO8Z7DyC0+nAbVsIvDnOz3NkBpn2CGmYYG1rG721dcRRiNlohFyPsdg7R8M1MTs5x+bWdc7Ib25uIrZjRl7jKMN4PEUSUQWIxzFnnpJrucDkbITVrXX0h30+LJT413QXTf0cWfQBsis72BqmcDdsPA22cOU//se49Hf+Q8Sf3sPs/Q+R7n2C97MAs7sT3DJX0GzfwrARId+9i53rm7BaPejHR/D62xhTwN9pw01CHFHx9sRnb4HYNGargcKysd8e4FE8wPzbX8HDN7+B1mu3OFX0q7sz+A8e4psvbWB36wqsro74/nvI4gUWHqHBxI7S8PHdMyRRitsXmmg4FlfmDynRb+mIkhDb6x3ECZEgmkiTFK9dbSMYLfDdb72Mk6MIr9+5gXv7RAnbhd3I8OYrl5FkDXzzd95EFlH3eermXsCYT0DDFlDYPF2tP2jAbSbwvQSdrosgiJDCQpRGnNZYTJvobd9Ad2hhPjlgRhQVKbtOA7EWotk3kI102A0Da5sNTAwfltlHPE9w7eYmkmyOl9++iN7OJn78b+/Dyi28cfNvoNW3cHR4jEXgo929AydqYr19CXmjj2QNaK27gOVhQMOFIur+Z8H3Q1hmBrfTQqERDmHh1tW3sdZpwF8L8L0P7yHJQzj9JnZe/QrO5ws4toP1FQ2OfhlF7qC/Mcetm5eYqrgIUyRZxIwpPVpgMR/hsh1jNT/E9StdBtHgErWUmGQxLl+5CG/ho9HYxGIRYW3tEndRHPb6ON8lDCbAxAuRl9ziFyiYZ4cnTARut1sM0Y+Pjym5hcVkgeHFl/H6t/8WDp7d44rtW6/d4Yt5kE0wG82I74Zb3/pDDDe7ePcvf4CzTx8zCblrWHj9zuv4u//oH+KHv/wJ/vX/67/D4bNDZlUspgVGx6dIAg0r29tcChSezZC7Q7Sdi2i3t+FZPlLT43TM+fiIAZdcT2EkxNRZY/TQgY22s8ILfvjTf4GT/TkWGzdx6//wf4QxmuIgvIYrV9exuO4Al2/DffwQ6f59LHoR3olPMH34DPFsBu9shiQ5hm020CIL4x8g0XUYxxNYRYg41BHqDfQ6Doxuk6tSpsczNLtD9L72HcxWX8ZxGKF37xSPf/4AfpRh+9Im0rOnsHZ/DgNPoS9CbqSVRETgXmC7e8ruNVlBQguJfJ/gnPPEx0GGQcfAvUfnuH2tj88oxrzSwQcfHeDNGz18+NEn+MY3buJffP8Rcr2FH7//AL//xgBhGODv/Udfw/sf3MWdm1dw78ETXNzs4fhsjE5DjFMwLAtuqwNdd9DsUIt6Cw8eT3BGIZJpoL2xAqzo+GT3HvRdqj6x0Ro0uBdswyZ+Kk0WzRmVzYkIUuTwMuBo9BRdex1J6rEb/OmzA8Qnu3j04BzNCwugT+krE/cP30favY7sJMarV2/jcPYQjn4bj/YPcXW4hdagwHyu4eHhY9zcMjH1jpkil5CH1CBQK0YePsR793cRWZfh50QgaWLr0gY2nAW8eYybXRuPDj1stjIcJ31c31rj8Y6rmGAyC9HNxzjPmhiYIfrdFRwdPsR5ECG3U+ydzDD3zxHlDdx7GsNfHGB8eAS3N8BiMkFnbYXxkf7mNp498XGrOUWmOWj3v4Cyr+n+Q+6FGp7rcMwMf/y3v4Mffu97CGZn8Cd7eO+H/xPWt7touAZyI8f6sIfXrv0R/vRf/luMZj7ORmfwsUCnUSAJDSwmKa73LfzxlU2cHxxjdHIAy9ag2xrOzsbQ9RzDtS4sJ8X1a1ex0m/iL77/AzzdP8Srr3wbhjvEeu8abJs617V4MleLxhcQ+6ig3znIkpCrydOTGMF8gmvdq7jeDuClKcZ//kvER/swOx/g5NFlTA8e4PzoKRpmjNW2j+vf2MH9/T08erCPMMphW5Rwb6E1XEc87KJhriDKyK3OMWzaODvNkDd24CcLaF4DltOFsUqZmxzHH6eI/J9DS2NEvRU0ph7S8Zi7t580adyBg5a1hsAco6MXuGDb+DBuI9em7B62+it46Suvw1o8xenZHPtjC17oYRIb8DHE2HkN2jDEvZMRzqY+/scfHWNzZQPv7dm48NofIHcHaJ/8awTtHlrtAHcPbGiNHexHK3A2V7Dnn2AaxJhlpNEN7kowcC9j68rrOHz0Hk4XDzBKWth8+Wu40FvDxtYFfPWVm/jJT36Jn33vJ9he38SF21toNDWcHZ7hyfFPMfo3DzE+PoIfBNg6uInzWYb7j7+HKztfxaULFt74W9/EjreJrGHh7HGOuPMUb/3h1/CTv/glnng/wNOff4SNwRDX32pjvDHG0eOfYH+yj0Z4G//w9/8GfvnDj/HEfAePPvgBWmsJ4CwwWGtj5+otmLaLnx39W6BDntQujF6Mb/7e1/CVN76KlfUhLgcBNvsDXJnOcWm4jqNpiIsbG1j4cx77d92bodto4WxB/GsLbd3F3ff+LTatU7z81rdgOl3AaOPw4Bg7l2/CKojGGCALDmC2b0CjrgeahTw+R/Kte/D9AMfjGHcy4pb/Zg+t+A0HKvwX/6f/DL/85QdI/SkCvYe//ff/BKt96gbwAdYv38Yo8hAXKWgqYxp46HQNRKmOj376HtpNG+eRi9n5OTYaBk7OqU+OjVfdCP+73/s2Pt7cxr2Dz+B4I/QWId499qD1hshp/kaSoues4+rlqzg5Jxf6GP3uZZrLxbQ2mDHmixjGehPXN4fAdI7ZXHAbqf2NYbWZ+0nFqmsrXWxcGOKDewFmnQucr1qcnyIjGpy+QHL6Mfcyff2VywiTQxS5wb1iTs4DFJEF0+2isJvYvryKkIwbmgioqDbW0Opso79+BS1jjkXYRaB10O876LoxHh6NMD54hMvUz/baW/jhaROH73+GYaONO5cbaARPEIUzXHp5DS3/GObhI9yfeXBsC1oeIEKCN165gb/x9RvQLQt2e4Ain/P988AlowdNJ7J3wXSzX/zkHfzh3/kPYVJZGzo42X2I//nH7+Abb1/GtTtvATRhGjrSYATDWgH0KRND0sSHrjmco9StNWjGEKRa5oef4KOf/hme6NegNdfQaK/g4uY2pqMjfHT3PtZXXHRaDczGR/A8HzMvhzc/R54kyFKianSQFS4On32GnatX0d/cQXdtwG7/Ikkwi1tY63awOnSQJzG8RYrDk3NoThv9ToqeSR5JgXv3H2BtZYBGd8CFA5Pjp2gYITrEU+02MZ/G8P0U3d4Ajm1jukgwWUyRxj5a/Q70RhN/+Id/F912F1pGCgiwdYqdcxwc7+ICeWYy304hEyn12XSB9z74Ob720lXMn/4cF6+9ibWtS6DBFIdPP2XlfO36ddHnNz2F1tjgsRVhZGIxeoyWmeDwaA+/fLCLG3e+ga+/9Ucv1mIePdvH9UuX4E0nmPshnr77M0SbKxh0u7izfRl3n32MJ7tTrK33uPymmZpIvQzrK5dhajQnSwfcBBc2NbT6LqbBBFe/+x18lGvMHhneWcXxJ2MMJwniVoRo4KAoFjDXL2JteAGNHLhla3j08DH+6ufv4eXXV/H6q9dB9eVnswiXdtagnx9jd7+DQB/j+u2b8LiZcIH3fvQurr70OuzLl2GvNfAHVwzsF2ucV33v3U/w7INPYPSauPP272DQAb77ra8iSOZ4dnKAbtvG6nyGy8NbmKXAz37+Qzx69BHcZh+rqwPW/sQQeuYVGM134RUhHNPDsyc/gb/VQvvaDjbbGSLXwEzr4aXVPt5utjAzX8KQBs0GEYp0C1dXd6CD5nLa6F1q4boRo6Cx8sEYwcLDO+/ew8s3r2Bl8xLShEhzDgwsUOgNnJ3sclH35vYFzOIcx56GeeigbSY4On6I3bvvIseUEfEo6nAtpZeaODs+h5kf4eKVbe4LVGgjMe8kCTE9fYKj809x56WvYjKf4cmRB29FQ6FTq5YxfvDjh/jqqzfxo+//jL2GyckUIbX9oPKriHjUOceXRNb/1t/9m+j0B/DOevBdh1tvfvyzX+L1N16G49hw0xn6bRPdRso50MksxcPdj7HW6uLiyhq2Nm8gyxzsnp3h6ekJnr3/CS5fvgI99GCaKVqrGzg8j/BP/h//AqfnZ6LyiOp1aOBxlqPQc7S6TVx/+RZi3cX2+jb2nj7DztYlBpzMuMAPf/A9vPX21xHGITwvREK1nmmOo9MzHB48wfe31pHNR9he+SVWV4jET/2H5szXvX55G1NSpA511C9gu00s/BCL+RzEEj2b+DicpHDdn+O//W/+6MVazAv9DsKCeKDg3jNEODdMqpkj19FEyCQAHYOmgc01B//JP/5PsT8+xb/85z9FnhWYjn1kcYG1AdXO6Qj0NvqrPVy7+rsYbt7BlQvX2BpQSVjsH8NfHON09AxZfw2aZuOj7/8Z0sUYZh4z+GC4Bjo9l1+TFg10h+sIfB8zmkOSxmg1HHRbHTR7KxjxAKI7uP3aWyAecXz0KR49vIdF3MWFy9vY2Oji8ckE684K9OhDXH/1Go4nHvqdVXT6bdhmE/k0R39tAz//xbt4cP8Mg94Wbt24gfE0QZsqDiIaHZ/Dpbq7ZI4nTz6A5TSwsbmJJFpgQsR4y2VaYZo0oac+2o0QltGG02hidW0Fm1tDdHoOpguKg04wOnmGeBHAyQIcLyYYHz9CmkQIghBREqDVsGHbBua+ByoFHHb7OBtP+GCtDXuwTOraN8OEmiNpOVfIDHsmWwpas+NpgKaxwNZKG3GaMpDHjaILkwGVMAfarovpNMRo7iPWqJ2KxSSE8XiEIcVMWoE8ynFyPIHt2JiNJijygscbUuVF09HhhTGNEEKaUzd0UgBg4gmRAQi0o48knnN/2EKe6sLqzilVA/SGHbS6PWRRhtE50Q1DdDsNeLMASUi1sCnnHYmnndDcEyp84MqHFGlMSDFYQVCVEDXxJoYYFVYQaYVanlAu3Go0OQsQzOac1qCuClQtZVkm14MS2OaNRkDqYdi2+PdUsE2DfQnsAnkaRg7Dpn5HFqg4SbfJ42sgnu4BeYBxWMDorOBP/9n3XqxgXmoaGBPVTy/Qpx4zVHBuGvBjIMhN+NStvABcQ8PWWhN/8L/6+7h88yr+x3/1Y4wPDtDeuIad29dx93t/jtODA3QGWxiPxlzBoDfW4HZX0XQ77LoYIVmKKaI0QEaLbNjQ8xA0K4+6rJuOKyrxDUE0oA2nB7X/oKGxGhHkdWqLIdoZspvRGaIxGMKfzZAGc9Gdm+KIs3MsvABh1oDTWkMWPea0EO2xYbW4Z43pdDgVQ24xNaEinnCzuQa7uYIwCpDEAXelo452VCaT5THicMbVNwSgkObmgjnD5rxgQbM+/QX3am20BpyPNQwXg5VtrjlM0wCz6QkaRo5vXOxhohvwNQueD5yePkXsUW1hygR76s1Dgk2MKOL9ckV/EoqxCISS9vvceyecjtGkplYOdaGjkrMmTHfITJ7M24NJjZUJYbccTohn6IGytwhPEfgzjKcRxn6O3GxiZesSdrY2MTsLEY5DeDMPp5N9zn+auote4wr6TVIMJrcusVpUzKBjPvHQbPXRWXVx4RUHpycTnJ3vYzbScWHzOl59ax2PPp1ifLhgvvRwe4Brd/pIwwiT8xwHnyYYbNl463c3cf5whvFnY8SZjpPoIYLsiEu/iEs9bL6OqytvYtBwMQs8PBl9BH1tjD/++38fnz39FJPZCWxDR5xSyZyDza2L+Pqdt/CTd3+Gk7NDNIlKF9CcVA8Xt67iW299A/ff+5eIjj7A6zfW0V0ZsiKYZ5sYrN2CGd5DlnrMQDOcIYr8HEXn28gyG7N7/wPC8WN8/94MYecG/q//l//qxbqyrq2jSdOHqctZJtpQ2Dm4veA8TsTvSIYImisK/Oiv3sOEAJ0wRxT3sNK/wANSSSNTNb+RTHGj08B/8frbuP/KdzDrbOPuL55w6mN69EuESRO5EaJ36TKuvfkmLm4OsT/2cfSrd4BHT3D5+iZefvMqHBqjPifWSh9eEqKnm0gOz9G9dgneowewtrYw+tlP0b71DfRu38bZaAYj+QSfvvMxPn5soePqCJsWokYDF+7cwcEetegIUWQuWoNLCIIz2NYahm4XV268iYN3/gLtySG6gyEGb30Th7vCFaKqhzyKYbgtDHc6ePDOXyHVLfSvvIq50cAs11EYDrZ2qMmlhgefnePydhvP9hJMJlPY0QRdx8SdG1dgHn6EDyZP0O1fRG/tJSCY4sbqCeAfY+2lJtZ6hJiKZoup3sTgjT+BEZzAmbyPMM4wPR3hwtYApt2C9cp/Ci/R8cn3/mtcXgduvn4dtjYBNBta//fh9C8Bo/8eTncFWTBFRrNCiSjQ/Q7M3muIn/6/8eDjT/Dz9w/xcOJgFA/x7b/19/AP/vaf4Mm7MczIwPHTKb733j/D/uQX6LUu4+s3/3O8efUSGQpEYYrGZZNrYQ8fUGjRQGurjYvf1HD/8U9wOnmIuz+18Nb17+CP/+EF/Ok/fYi5DbT7DjZuNfH67w3gT+Z4ci/Fw3mC/pUUf/Qf7OBe/gyak2KaNfCTJ/8aR2xBaaJXA1c3fh+//9LfwIWeyT2XZu8meHD0pzhfzHF0dgLPH8F1LMwXsu0k1XgO1zCaeXi6t4dmR4e/CBAtiI+t4/r1V7G/+wTxwQE29DmchDpDADMtQr9pwQjvI/OogVgM02lz/B8GAyx8A9PdXfjnJzg+Drkrxm/6+I0FkyrD3aZoH5KkFEOIfj9WpDOk78sR3S3HwiJM8NlHH+Ppg7vc0Zx8FX30HvaSAqdeAqehY3ye4CjQ8D+6DXS3ruPg2R5ODg/Q7OwwnE4TZI3cRHh2hsP33kfQ7aDR7OBS5GPVTHD9aA87Pz7Fml5gQDHE6gDaoIni8BCIUxT+MfHaYITnyJo5sPsJ07z0W3cQX/oKeme/xBvJKW5Rpb6t4UQ7weO+hg+717EoQhSeh2ThwbNzGG6IbqsH27DQuEB1eD0Ygzac7gbM1gyJ04UXEzXMZWK/u3YLvYsPeNM3NgZIMcBoGsDVW1hf/z1MXAdz7RzrN1cRbxnYChL0jz9Ec/YxbrW38dbaHtrZJUS2iW5+ho4b4A//+DVkJy6cYIqWqyNhvmyMSaijP7Sgxw3uSDCLXBSLKXoNDWbqI07m0FIDWu6hSG1oUQArX3DTrMLeh9FvIZ0eQHc8hLMFwqmPhLrrpQ/hmOtYHO3i9GSMxdTDYpzgbFZgb/cY8wAIzgy03CZif4HZlNzPMUx9iJBGAUYG8kUCLwhQTBuYBSGm04C7Cs5THYt+hIcHT+GF+zg96mDUD3A6C3F8OIF/QmfMhd0nF9mAP5rg/Ag4Povh2x7OJ2sYH85hTAyMcmA8neDkbIzpbM5Uv3DFQRAACyPDeJJgNvcxDyPsnZ7gfDRBHMzhWwa8IEcWp2h213A4nmB/bx+nx6fopcS8ihD7Mdr9AOfTKUbjOeJJgONTDU1TTE8JW33E01OYUcAjNYgVpWVibVNzjsij6eUazucxZvMEMy948YJ5cBbDtEQXNbJ6PMzVEKO6Vxo62g610dfQtKjkqcBWh1o8JHAM6iKnkYxgHhJrX0PfpKbKNmZJhD+79xGs4xFe/s7fAzQBeHD7ekN2HItTRCdnCKdzDId9bIQzXLFSXDULXNYyNOTQHMQaNAJSChqZABSBaLSVBxF06imb+iimp4B/FW7qYsfqwW/NMWx0YTgelyPFXQuT1Mc805FZBY78GVItg2tF6LkBtOSUgazUSBDlAXzvBFk64XiYEvWUqDbDFJ3gnBs0u3GKi+E5IoT4ZLHArHWbk/eBZSMbbiIodFhFQTOVsYEE140UOwAGjQFuurs4pW5A0RkiPUOymKMIiSdbMOczzhMkPBQJCMYnzJ/VTmYYJxZmixCTmYUiyhATSyg3EMYJvFiD5yc0FBtJUsCMQhjEg+VGYVQnStUg1OWugJXSuPsQs3mKICQOMAlLAT8M4IcevCRBME9QhDpm0ynmfgA/yNB0Y3hRiImfIPMj7nuTjjPMw5DbSKYhnZEG8skUp6dnCGOiVObMMZ57CfyYvjS4cYb5dIHdJ3OksxnOTi3MfMBMYpyeTzD3IpiBjXkCBEHAhft+TAXTKSP5Ab3e1zBdRHzNVN47Gs+wmNEgqghWQhVDOgOVNIKRONcUuwdeALelI45S5lsXGn2ux64t0USpE3yUFEwSCYuEa4gzyucvqCBDdPQnXnGWTDFZpFjMF8xCo07yfvAFlH1RfpLSC+TE2hTbiTAOJGNU3uI6ssERkbwpEM9ThOTKRKI5vJ8ViGgURJEjnFKZkegkkmoGVgZreOu738Iv/s0PUFDhs8GzqLgtPXcbMTSYZgGbYiAUsPQcK46OJsdwYhCtRlO+tBQakW1ZacietdxvyUDhUHe1CFpIZOscXeoh6xB4RGPZiOtZoMh0uIXNMzY1HgiUY5978tB3OaJ0ikKjkih6f+q6ELASsdM5rhou1gzqnwpciM65wRZ1ZxjqKWt1TW+gbXVhZAa8GeVyCwSeEJCCNiwO4MKGFixQpAsMqIkVDeGlRL2Vo+2TpUvhFjnaOk2NtjA3U275T602olwwS6j9UEyHYEGpCtJHIQLd4m6C9OVRzyA9Et3rghBOPEGaZDAjmg8acYoh9CI47RiBdYoZzQwNEvhhAs8nobW44ZY3C+F7KQyqjKG2QbmBNKUmxynTMz0vg5ZQu1AbyG2OX3NCeXhCGvVtAiI/FcUOWc5E+SDwkBcxkpw63FN1tmjBQqhvSrWPDMxQNQl1Bi6QxjRqQbTMpL8TpkBeHPXI4pUjAjs15TKpMZclpkcTM4vAnzhBEOZcAcXdDwNfuLXUPlT2koppkHFOk8eE4OdxygwoqqghsC01UwSez9PgSMBzGkBFHbGpMReNdUwThGHEz+W+XV9EJ/ZBl1p6kCbh2i00GjScVXRnpzpEaozVdKlNIVUhZAj9DEFYwAtzLgsjN5e8Wip9JCCEBI0W4Pdf/TrC3gb3w2n0GpgfTGWrR+H/E+e06xhYoZuOI5hZglXKP4nBHNBIO3DHwhTIdZoWIKpP2GzS99TXxILuuqJxbxxCmy/QKgLYxQLc696O4SPCPIgxzX2mqq1FIVo0NwS08QkXSCOjA033ILrQ0WyKKPYQJFR4XKCFHF3q8hCHiHLSkB70mclTsKOkhYnvoeMlyC0XeZghIsuV6XBoyhitI3LYRcRFxESWpwJo7qlEioksKxV+FyGDWzRIySZAimoz5x6SwGOiP3Vez6IUEVX8JGJIUkT0vTRHGBJXNOK5mtQbtpHmjCbTPqXTAGFIDY4pEiigJRn0jO6dmhuTgiUlQutpMdhGA3KTPObCA6pVpciZWopxYp0aJxs6K6+cKZR0XSHX0KapDiMOkEUBjzGks0H8a5NacWQRbNdisMwPfASRjcArEAYhxrMUiyhGpg/48w23gZCaRxdUR2pzAzXHctFuduE6Ta6hTVlZUMsaOgI21wRzP0MCBblLHrXZJAWrlzXA3NkvSlh4uesogPl8jjAiUDHnGN4LCGTUkekxZvYCTQL7CF3OLRQmWVQgzHwsqAIpjLEIaJocod1fQCd2snw8JykXtZKk0Wi4C7lmmQlEZMZBo9NIw2TwPPH8Yd9kMjm5Q+2W6LdJk7OouJoaCW+treJYd3D69Bk3I05jDzoSmIS+UneDIuHxBE0D6FDDYgI8eAS6aI7MXct5EpQcUsrt7EVnPe4BrFrvk0aQTZqpyZZuG7Aci0cn8PSRnJLCCUJKx5AF0XV0LANuYSCQcw9VZzsSTG7RnwSMrPLmaTramYYBkaV5rJ2GMM8wphOtd9DQbIxyDcdeiLDREtPGaKgGtWLJE+gs/JTTJLBMjAWkVAAdctLCIfVbygLYVCxArjZ1Wg9JUZjIZjNk3hx5kINzHEnB48yJ7sH0OLJihJ7HdOAjmAalRcBlWqG3gE8uspnD8yJ2EcMg41Yi+WIKj9YkIe4oWRcxNIEal03OCc1OUCQdRCmtIUH8hMJSra1ODethkeIwqDu7gQZaaDQyeJSGIfd/Si7snNvFkLXLcnIViWdM50aHZTe455NBLWz0gp9DxeFUETIbn7MVj6I2W/KI0iIRWVW6RlIkJDwFLD4CJrPASFgTagMjDRddV6tNLUgNrKytotFuc8d9GrnB+Al3rTQYtaXjRB3mc10MKCYdTQEavQe9nnriFtSDNskRhylC6mKRU9d46k1bsKKj40d/f+GCuTuRXexkQ2fdlzMb6LwvxChxg+JJEgQSZHLRAJxS5QUPrSowStR0Djp0BCDpaHSO4CUxeosYFzZ3kGg5TNpM3YCWRmibYHBnJ09xyTJwo2lgnXrrGJlwX3loiJxFWHbBVBOolDCRLyGHx5Jmo14oCc389kF+q2aRZjdQUP4qMzg53bZTNGGim5lIqWUJlTNRq0zTQk59iohPatsILAuJmSHMCvh5gZDji5Ar3KkciRLcPCrANDEk8j6AgPrR5uTymVxgXXDfIKHIuBmobnAPXeoNRB3YaAJ2QRqcCs/J/YtzZkXRIaAYKKbYLY6RUJNi6jjPne5oDL2FNIzhZSRYGuIk5/aVrkWWsUDuhWguAlA6MPczeCEJToIgoHAjhBGOcT4m95b+RpUlNLy3h7XNHXQ6HUTdAua8wWkS9ih4po1oB02WVTcov0jWTIORhzBNwikywKLZpcKjoWfT4DHiBlM5H80eyQoKm8SIBXKNye2ldJLt5HBbXVhWB1E+x8gjUMcT90VCQJZRb8PUHcRkDAq65oTHKqQOTd1yuWxQ02nsInWGoBK2hIWeOmmIieMGN2Wjc0jHlawrtUehsRDUmJuEnwQ/pg4exGzKDO77FMWpaPlCxHcq5KdkcUHuu/AW6XhSBcwLF0zV/p1dORJM6TPTDdJ4Afpg0nBihI2wKjxFjeVECCv9Ts3RVJOpssWIqoxQmA5O/BjTrGBrSaPxnCyBTaPLcxOFJQ5XakawTTnbyhRjDMSwIhJ2qgPL5RcdbG75LmWWDn+IPI6YTyvqxIguJnKhlm6hY+lomQ1oho+OrSEi95GkiF122a1cTpEmRUPJftXwmIN+2kyYCGmzyZsgISXgK09Yg9LYPyeNYafkEVCLfl40Phjk+hJJg6wXkgBBlCDKYvZM9KSAN17AKnzoRKSmCYImtWsRgT4dJLo8aoBm6AnP3Ai9GIltI54vMCeAKC6Y+TOdRcjYYmpotkM4sxl7FYlHjBcCShKENGeDHJCEalFJiNVgW9Fa1I8CRIS8UuiQU0xHnQ1tbidKACB5EovAQ6a3YNBh9Qr4cY6Unm/YXExNXXW4k2JOjZAp1pxhsbARpwGi1EaUWkhkr2HLIQzDRrcDrG924Frk5hvo0PDhPOT0EysDnpdDg5XIkonezqQoqKE3dTskAaM4leNWumeaO0MNwGhC92KB0WiM+YxyqCTYREAQrWOooyN7hxSbZmIkA3mNFMoRR5vOE8+Modg3zZDRwGTqiinlhhthE4/7t5jE9xsLZptiePKrWdoKLpyFFDbW7ozBiAUhgIfAHdJ8VJ/HLjC9Ts7VEFOSKajXuYkXuV4xt8mnd8wprc1d7ojgRGCHXaToIMc1w8C2Sa0lyVouzbFjgIZcUOEz0KlantbKcYV0d5FSm0wxdJVOHAlRSA29LHKQyT1LcZaECIMIYSqsYeKHyIwF950VQ6kM0XeIRq6lFJPk8BMdgWZiTnFRJGJFspp5QRqaLF7MdDfyBBjASCluSbkg2YtDLOKIew3FWYCAwBpir2Qx8sTgPGnbEgN2xIwSDZkcfU4oDxMcKF6jqVZ0mKgJmkWHPkNB9JdU45wipQ7gEmfDgUNuI70PxaxyxCFZn6wgF5g8aeGK0b1Rb6E4JQEU7hzVpya5zd3l2FiCeL2W6MBOLqVUShS2UEmYUVAhObVsMdHqWjBaMVy3xfGh7bZhtxtICpfBpIIH5RrceSKkeC6ndaAzEiOMbUSxBcMyYRLTJiJzFFNrOgaOyPImWcBCSYOikoziPwF28ZoQoEP3zYqzgOHYLLTk0ZDw2PS+pkn6ohy3EPo+l96Z5UCiguAMHpJEsSqBZ+Qmk6NM70+jN5LCh09hSxBj4RNwRiFe8uIFk+hF4oKK2qBWMRMhk7M4CJUieeVxc0Sb00Wxs9AmZG3F9CaKDVkwaSaV1YKtZ5j6PjrDFeSmjhlZNZq6RM5FkaOZa1hkGkLZf5YODY9IqI9dpMCerbiYWV4o4ZTXykJJLl4QcOzESAZpOnIhyWckkIJQtJw64qUI2FKIOJZTRNSlnKZFMVpYyAbPFPAL683aUo62iRnFpXAvZwieWn3GRcjlR5lPMy7J/Um5oNhKADs4QR7MmOlEh89l654xSZ2UHk8hcxzoVsopCEoHaIQS0uG3cmiLgNk+eZBy8ymD7t2w+YuHFGlikhkyHaEfw6I0TW7CDGJ48wB5EMPSKealjoYkgBlMOkRmKIA7Nu2ECdjoDAbodqj9C09XYotPCts0qaKHxiNY3FuXrExqkcDY0CMaQkugjoFME0qQXGoeDGxZTC3s97vcuFrXXG4BSqysdjvj6dDULoTrd3OZPyc0P8v5fWjdaZvLuZc8HlLNYxVDnOglHBrxPtK6CotZZDlbdALITo+OGOSj11NMzgOYLDWhjJpukbUXLDPybJgWSogwZRd4wprOwkkyksipb0JBiRiTCqV9/wvoYACTerYKgeD5mASIqHkjtUG25FrRwpB2hEGd88gKicHOdNh4TA2PFOCQGq7Thp1nmPHwZ5F/Ea6BaH+5oJ62eYYRzQNJgEae4aINtqTKlVZjSMkKstUkYSkn5woXlIfTMTJMwbroc0ut/5MkBBHcPC1DqGewDIoRaKpxhiLU0NA1uFTuRnWKPEGaiNlyKA3fJ8VIOlsdsh5+EqOZGizwDAtRX9oiQyDH8MWkwUOPQbDcsJExeZysEBl7uucI89TjQ0dxKo8ajwDfCzh/qoUhXLOASR3tSRnQ9VL8SfFOHEOLM4HUkoWmWI4UFlt4gvAL6MTlpW4R8hAXpIgIE+AcpUiLBBQyLAKuVgkpbiWdxhaaGl534DQ6gr1Fe2URgEbuOLnHsVTKNICW+gXrcG0CfzQeJ8lj4ikVYdJaWoycEomdCB4EcNlOA5a9YLyCLo58Jn7/WAyVDcM5Aj/kMipKMxHCG8UhhwJi+KwJgpkIJwj8GLlFLvQCOU2sNqwyFUL4AAkmZwhopARZzabLAE/pdjLopsN1HfSaFkLXhBlbaFPHdtuGn5KnkTOaq8UB/ChkpeyQMFMsSbEmc3ENuI6Bbtfmet0XLphUY0a+vBq9yv47U2eroSzl+D1eWNEYmknFlEKgN5HoKCGFpJGYEE3cTLKehFwRsssHTlg9Sok49EVaC8CMXCgaVVdelJxiJGMJBh+IsGvqwn0Tp10KL/lbVEAboggWyAKPRy8ECU3Coh60YhANWX8amJPqJlzXRaMwYFOMRfEbAURUOa8Ll55SFrTZxAk1rRwmVaFpJs9gFH6FGpJEyXtyCwOkaYhMd3lQDykxylVStQUNciXLTRwOUmUkpNyTFxlcbp9JqYuUIXuiP2b82TR2M0ExI/WVcQNug2J78mwIxaR4itaaSORxgJTIERmRrxO29tTEzPM1FuaiEKhiphSO5fCIBB7ETWVzdC2Mxxgcry5iA2Sg0wWlQMj6UYxpsStHYEtI/YKooxopMk5dkItNwszcEkSyqRq5yhQW8NQ2jeJB8jbIZQ24w6FwzaktqIZOl/oMN5AnRKSPESbELCJetce9hWlmSZx6SEhB0F7xoKAcce4j12IY0rgQcYCPRkzdLVJul0LkBCqmT5OE86NJnME2ZU42ixGGMayInlvAjijXanHWgIcWE9dZJ0EvGKwjxUOKwNSpwbfOoCGda5qU/QUIJkWzaoy7HL0nBwKJ+RcU+tMFkLKgn02evES9VqrJUWIqCbempKNr0uBYhxsVU36SEricRqBGWwUB3TkCDZhQy3wasQcCZAwGm2wKbIjCIgfnUhJaAABqPpgyp2padW1QrExzCssMzGkzSNNRG0Sd8oU6LK6vo7j1/9veuTW5kSXJOfIOoIq3Xs2OpJfVk/7/f1rbtdlVd7MuABJ5l33ukajq1cuMGSnrhwKNRrJYhUvmOSciPNw9QPWWmApGtif4tdKuyfpOT7TGxG+l6IVGvNNX5Wu8KywqriseWkucx2tctkrKBEalB9aaSKXwLqJOBdRhI/BcedjRHlpwLpd+cI6SjIADimDYlFE2oLv085yyK+rXRRDYmRrdPTxE1eAHexGQAtuIDcY9pYfHkFjSOEY+gFSiNGmXSUgo7QCTPbDoxOHvoppr/cWTyuQMONJy+V0tD4CgaaLhfolqZWguyg5HNtpBLN7b6xJ9/az5NQwHLtlgl3P8+78W8Z//9hxTz3CoTY4Ez0+3eGU2yXOvKPj8dIxvUO5uZB5QDm8SLnCQUYfSzqM25XdV1DHNpMHfo54RzXskHumzWl71Et2BKFnF6fSY65qIigs/k8cOOYzYfU0dM2QD9GizlkZEv/TXuHLgV9SongSwBmwgGEOjWD/nC+Pe5x+/MbnA+2Baj3t/GzQrjGX7Y8SkxnQUe5uZnJO8/zAbks3BwqW+kG1+Dt6bSbe2NT4VS/zPKOJfYor/VRXxl2qJDlUFqQL1hRhEtrLcJwvv78yDYPPgEOgDQAI7CMIvKZ2BgLkpVReS9YH8nqn/ZhDhJS7kO6S/dA7TaU2npFAuRxOebkX+RKRjU+QhBfOkaNpoykM02zHG8mjAgneoOgeZEgANzm1DtDHEtjAZjK1gq0iNimMRcWitQwy3a3QYDfM5lzUaxga2k1NbszdUO/FOAXHmrYozLBfIGTQ2rmMsBahwGZ0OQaI/7RWzm/hQWnj0kZFlKRWepK/kvdljqYjToQzmY9wOZXyndbO8xHV4iuPhq9ABLeZyUuO9gflDHJRfUBkV0TyITuN9dmTFqi8dyVcOAYVqT6jGw5vpfhemgJFytocoKmr37c4KYqN5HCSbCgyAw4GRMBf3Xsk6VBOaXCGEmcMS5k/biQCx54OkqE3VyEycOTrrYOqpmJ/jrPr4Bs5Yj/IQ5jWFOQIEUpofT1HVOcsHxhs1N68pgsMP3piai5gj3F1PUlbv43hzNiabJQcCuQbdJxRrm+SYPUdNb2CoezSzr5zz0rmB7GKPSD3E97YbJzJIVxGf6jI+g8pSM7CMssBXpwReo0gFXCE2IUVkUqH4LtKIGhi7jW0YY7xcNZSUNJJogMvcbVnjOsPq4AIyr9FpMxdp4eTPCMtpqciZqYwaLqTBAWgEgFQ5/SSbZvFVIItjDCV1SC/rR6IyqV4Te02Cju5gUysWclXHJKRaDVSlQW0inw14JwdXXanHWbeFol81UtdBIKhj1GQmon8dNXKkmOPYVRbzasI0UWyOZoRGmYdJTtzmN+AWGQKoKSJqGkFQ8TpI6+Maz79j+F3LrAtLDlI4Dw6zOJrUG8BLbStaQjCaYFIRgpw3Cf0k63DqbYoemsptO0rvC4vpht3llQNhjK4j0kU8/Q7aSUvpJlYRLZqFvjn/qalqS1wv19jWXuh4130SJfD8QoSmaTv7NdcluodaozkI7qTk6m8Okwgonqi9xND3MQ5DNBupd6G6e6A1N9P3hfBPiQIYyD1lbifjDSkbOOChMcKEW2PIkYc/dGM+fn3MtgMN9FXoHSfAfSryfVItkSu3IQs7J9FqCykT3sfROvJeblO09IdYDLQYmB6cg1D5vtdti8+5Pb4zIXiZ4wt1JM+Xq8gZKwsgCQUqIDyCXBs3gadyGmKlvjw8hqS7BTaLq7srOdR1rbDrmOK2LUpdBIcLYdui1GfOv5PWzJNntM5cExE7BYosNJyh8mkBLNEvvdNXkG2YLAsNdDZ0bYQaqhpg0TJGv1xjW85Ku/hsHBL0NOGUzoBTjAdcZg3qVVQcpqjOZnugcBjPN5HbJ8ZTtBHnl+c4AySRli+TsoymwtKR+ukWvVoZTlNVu/IxOFTIHJ5fRbw+42pPXtwcZFd6fRnib4yY/z7HeCb1XuPQ/CWOza9RrDC9LtGjR2190I5z5YU64prfR00vkKwqDtHUn6I5PWjzIiI/PJxiaqDclXH41EXHJLX6EA+f17icBwEzAEsMrnUNzWmQoBIqJt1u0lqGYBmE4W6BKDOeEAL70J8FitHD7A5Hpann4VlsL5E4yIzmIravjI10jQgrrZyyH68Dm6PF2QV78jZ6E9ZTG+3aR6n2EKLpVi6DXznIx+7Hb8y//st/N9l4GKUiH4HtARXUrM2JykpljXztE1o1eXdvtXKRSJlywrsa49RTtCxgSDCyj0hMD3Oe4iGm+Eu5xv9Y5/gG86eo4huMH5C/ffPxWuSSpLesKp2afs+a+JuvxQwxXpsFATMHzhg3YKQNos1XxAZaqB/nBsEIYbMQnX3K66AROd3AjlNHT07m/fMafG7IAvwCzPCZQWJGD7CWV4yOC07j8aqabJt6UfJawA/VqZ4yLe8ZwCANaXIvVjD8Pj0aOljXRd01AslAtAfI+tRRoh6WsR67mA+nmK6MgxtUM2npkmIB+lz7WMdLrEsvKuA8AA8sUXa0bBp/D2klzjDNJ5mfffmnL/HL4y8xLq3sGstLo3vJ51Ptm9TF+yKmh7gA5hDFKilkruOrrDiZ1sacFNo9Yw93liFEU5yfq2h/w0x6kTrkSZIxInUX04DP7iX68Rrn4SluIwOm2IjMtmSjcLiOAYdL7SwOrdsY5c3/5zDhjI7J1afTSQcTeMfD46NqZNooZGQcugjc6+PXKJaL0m0yEqKi1gLP0bQxtVNUNcblsMIq1ZvoM2EMQfUcBtozP4Ery7Rg8nG1DEhVaLRzwjil98Z7Fzlz4nnWd14MWtZZ87FnOPEY/VZBDkeATZMfcrQiEhsdWZf7cBAO/sYAnWKLvyptXi0N4+TVYrhXvH5NlAQgn3ptEwvEb+37mMtDDOpZzlo4zCdB0QDLBZnXoPSW3h+Lu9ZNcnzfgSUi5yTqnGllBoFc+dX6tyacgTZrlKC5uxeMtaprzHyvkMFRAEWo1bAIqOGGwjlFhUJrQyoZFrgOEmRexHrQW05rEMIpigZQBcQWackquRcRvG9I+W4xc/CQtrPYqMd4v6CkyjZMMxOJ4AbND4uMKeqJ+nZWikrGwGTqefP1+89//feYPzVRvX5Rn/Z8/TWutye1ek4ioy9CZRnwC0MIF4llG8TqqeGnAvRVl5gmyokxSiiNV4CwTWnlRnYxYAuJhQwtZ8qZq8TLT891VO03ULBoulZpajt9Us+cA3KYLtEPZ6PCBZvjVeBUxTWe7KjA+uJcB9gibb2ez0bCZ17HsjH+bxiWOGsExzUur5eoX/s46rDnPkUcyjYuHLDYvQwAPji9o0ZyaUCtCuqMUEEcD7ULf/DGFINEqSkHtWUx1G0FkSZTWm29BFz22nPv/79tXG+efZI0m7GlJoXWBqJJkdUU0c1rfKmoeUA/C30PVv8dG9EBUjeS/hdAkAg++/j0nSubG9b/pHk+aW4hU7ZolXAyXkht6iKuyyxPI/X4xHMEFYQIziakjCX1cc1B5NVWZfN7Wyqa8RrUhVec4skckoLI90/roJqnGK+xCDCAywqIBBAEojtGP9/iM71KrEg2bwSydsTmSp5Iq0iplMF7Y2mP0SEiYvG626beK5KfVfYZlk0hol7mq753B9+osdiUuhP6LHmX1Ht+A9NuXAcc7rdrHD8/xsPXL3E6fYrhicOLH/EQY9BgakPV+sIkuFf0l7mAZFNwX4cAF2HcAoBfd6jV6zw+tnE4NvH5l4f4fsbAuYjuhK3LpnETn76e1BvndSGkz9VZEXiaXkSN5NAllZS4YpvcmmKWCYjxdI4KWdfpaIYOfV6on52zHd0f1EI9NasjHHpj0viHR1L/So6FYAPKGql9WPPloCwLHOF65XA0SnvaTlFM1LcIAFBZMceHa/oTSOxuibwDfqBmAY9LB+f/VwNXzU0DRQU3bAeNciMKD2I9gaKj9ghTz0Q9uF6itt+3wIqn6SZ2zD8XRZy2Mk6kDYqteQiINsY6Ii3x+9hT13t9qzoUHR49wVus7U2w/gxmtG5i+BCNt7oKOrXXGneAUmn1QeTzKgbwJG0kk6tJl8TLFRq3an7mOizaKCDit6WSwkSkZ7Y0kQZwh0gJCYIeZB5SUpFQ/2ZiAbup5Xok/1IoIrQ32jfwYkksNX7UwJAmctMbnk0woAYWOUZcYdEhgIxUP7GL+HaP0QP2J9WDGiiipK4HAJ6OmDVi6Oe4XkFT/W/eEwOgLi+/Rzt/juGMBSY92Pn+PEuNhOoabfEs87W6nkTqFhCyDGJV8TmG629x6Z/idsU9ji9jHs7vi7Sk1bGNy2WTuGBc4PFeFM1fnqjhh+i/9/F6+R49sruBzUlKfJRjIdcGwoM36yxSwly8SooFoYSvC3ibOBhu8et//IdqSVEAkcn1CK6X6I9TPD/h/DDGdJ7jQI0JxbCoRR7gIIL8BNLMWAxx2SAyiJqH4ZfnugplZm8AyP3ojQnKxhqH+DtwsqBf2xUber1907rs08Gb9Lzc2W8KkEwI2SxgJqSqNOvR7q30KQFtmP+4NLFULO0irqpFs6bMk9i7fOfBOjoL/FGdmZQ8NVwpBcuYqWkhThdF3JCu0aKhPYF/DtQs9jCCXE59gIVbL6BrYIPgkE6qKTaOnxvRtFLoorZbAu+08lwVElrSNN6njhI+E9mA2RCaPCxyPK0KyAW0E0gdGZFGWipE0AAS8DwoIRO6iK5EU70PseIGcTj1viXDYpNCCJjivJ2jr1+i5/PC9aUBXxH5Nx2KcQDpdNQg5aLeZRGRurNR+Iy0TNDeHnq+j0yiiHUuYr6uMb2iZiFFPccgMyquDUcsFTLpORsxkWWuFV8DdIE80tZxK3CVc9o4a/4L6KopiGoRq8u1xnorYmIy9OEo5z2uGQeR78MSTXmMI56/Ky09bwyhygJtmvj8+C2mUxH1EckaUc/yRBmynTqxe0Qe+fY1+ss5zuWrqYwq8Is4dsfYrh1TI2UfkqpOt8v02chkWm1Sie/5/honSWdfoM98/p/SLuEikG6i3qf/ujTWpWmB7TVltk+0Ufd/JwMmFWOOdCxwZUnmy9JMZ0HT++OiN6Kz8VpLfBZcwoyJOo60SZR6ZL2n/mVlUEdhcn8PuWkzYrJtqV1p5DPvpF+e4jrNcR2vVn5UIQL6ONUxVRw0W7SSMFUxa3X4AzGolIhHukT7Q6+7IgReY6Y2m5z2tCjnN6KewaGZSbpsJgyYqac36GhJyFAv19Q73umUURB6GZQ1uLLYLx4hBtSgsoyMJ+1nU7JZYTtl2tgS0S29Q7iMJSMtnzJbH6rxs6PENaKMIKvQdacxT8SbGVPvS9g2VQxNHU1ZZ1/vS3z7yy/x+OUxmqWN8rGK/kJPisjRRSO+rOeXtN1DdNVnaSGdyjM0qqHzAm3EVpOb0VW8YSWSbo7x+LmN9Yrqo4jj50M8/tLJBUA/z+etivj86Wus1zX6h1HSNMn/MnOaIbLDOZ56bTyQ19PpS8ynNcrjGEfq3bx31PBfvn2Nh8dP3mDrqgnlbEiiHX+nl0lLrTg2US+HeKwAe4iYtdhFXErKCOslzB+H6IFAQx0B6JaigEJcaH/CxlS64v4U0Y3NyaKAxpW01TfwJ2tRR1HLqvJ4udeBiq5CbEXXT1U5CFjEdmij7ef4ukzxpSzEj2W6FhFVkh41/fO5dApRx7hNcz8FEpHVexPrXTm2NrCIAOK9zxlF6pSBiYGm+g2eKuC2Tm62CRFX8jIKe8jW1giiEsf7CLof/FrSPXR8GhPIocAhFEi6cDW4xNJgn+/PgJbSOAzzJ3sdVJzHGtSrU52+F24Ac7Q036lnOByB5UWbW/U8MnGQA0LEgfco+lcdLbVRXQeUhXGlNuU3YAyTutEdMuejjXXyoQC3VYmu5EwwZOhhVqIYut0xaiAwE8NPRwynANDOioyk/F0Juwjrjj6G4kVq/q55UKZA2wgaIdxi5ojUxSXmSxkUEJDbJT2bpnh+xpMHi5Y2Xl/xXKrU/MdKsm7bqM4RM+PjJwj/l5ig2+k92wuW0oZN+dL/puTqyiG8fY/b7bcorxwOIPNEFORkh/j+65PcBbAaefn+FE+//a7Xqzgc10ppLX324vIS7TjGrRzieEDhNIiy2WrZYKRN2rzqPdYdNwRvpCWe8OR9wUGP5f9TCAbcbKoVs/LhTaIUeOtKJiiT+8KbdKcWZLskF6q/6LRQ+TjRmI0/3qJjT419PMQtHgvbV3zSWDtQMOKITyZtZMI19SN/KHy7hcLp6U1pdocYHjHHMF6j3+q41EirqAEwNZ7jOq3R11ucW2wz4MkSteoYi0GMHl6DXtdIukqPi/e6QQq3CwGHE5upzZPhNqLTRMFPVIMQsYozyfMOpK0jcmnlBGrbDPNrXJchuu0plu0cxw2NYWpcleZba+hWEPXopghYSkqPcRkmZm5dqV6E8CH7Ew6YNXouS4FomezDRTiZBj1GGDqkhabSWU7Gz8LBRfiL9QitFWh6czHE7fISL7/+TYOTlhubdoqB6zictVFUa3Hg8Zxy4Mfsy+AZud6KLvM6BfIEfHbIZCCvj8NVczXZWMMAUIbdZ6kDEiLIlYFLIKrDKG3m8/95ivP37/Fy/l18WU1Yq+iXDjFOnkrHWuvn3+O6PcWwPcdymaPGw6UkAJQyTkP0rOdmdOD1HNfXPm5niPQcAGMcjkcRC+iBQ//D2I3WGAffjTYXB6U2nFUuGJFxwWm/Xa7weclMABCLmPufMIZPkq1kS6j2QeJC9MyNuFN8lFLpC6S+b3S8veZ0tLS0QenoTjuj3pxvYmjENMQLDgDbHP8b0sCMmTEMFo1zTqHqnrWmsuTeltkf/gdpCcqIAcQMpA29I79g+gBwSLA8S3h7gMuqNNGkckSlYm6gB1RflrcJ6ihldxSrNyevLRxTe2dVGtzq8CCJZSM3ArNK+mBWlNuehTpJc0JYs0V0WxdH6hSCPQJc2DYidbCsLbFqijoqATvUswYVyBr4+R0wkjwPwIYab3uxLlSk9zEKPhduE8D4RFA1bs20En90WtUaKWs2fMjfph84/Jp4/PI1Pn37qs8wYELV1wI5wAhEwl+wWjlJQ4oSpoRFxfuU0sLjA1g3S9nHWk+5Vty/ppYHCCTyNq3BKhb/MWvAtjlIYtUeSZnLODx0MQ9dzOtjTMtzLDi/6SBzSwTjau7rRKI+lRJyN+ToZB4lPcsmjg+P8eWXr9EekTR6rAOEeCH41NuicBIcaIlE1IvFFKDkZBuMRYRNVVGiKOigvwVyOIDhR1kPseJNuxYqb6ry8BM2JqezykIuYCHzI9Y+N5FFsm++/S/uZ74jju//cye023HPW9h9S3FCVZPU8kRtEMZuIZNpfoSUbKIGFb2DBQln1mQGBeLsMb1JvbxpyfFpw3R1E7Og9kPgcHGcYOEAcBRxwWAsiGgo0GkDVEJnGXyDqTSfGikVHGCdD2IV5dh5HSyEGzsEilKhDa8kS+0ENyRR0vj/SY2VQa9DfMKIjMaMsCxqU7w0ijR3gnpnbi2tIyRkOtzIWEjsazsLyL4ES38JxiH/o5+so8Pbhj7wPKgdQ+9T4gKuH+XB/VyFe4wjPNejioqJ2GFZVlkzlxQ4i2t4jNPxS7Tco4c61p73QMvjGPPt1YJw2hVLb1sRxm9vIPjU2NwkeKd2AAAw4dylzqQeRmHUdmXMDaUSIJAPHaIh1wVx9M62+fTlMcbLayzP8GsBWTi3bHEDwMMG5zrhuP75AFVli6nuBbLt4KOE5tjGVChXvuies2LoX/OA2A75gIN6ealiu0zRble1iKqKqOvAYtOuN3AT0EcOe4BU6eAHr4EpeD98Y4oepndgk1z8R9Xb3K3E9j5m7kR3V/bN+X5rZkTVl7igoFcGcyoulJB8LsAa36KMBxFhHQlIpJvsj8mES513AzD7e/TG3Km53Fg3dvuwCPqynkWGvuAQMI9xLdAuVtqYL0UVly035jqrruVzIHYVy0cyItedtCWKjd4gzXeyBw6FUunfDQAgKYicnPB4aNXQ6GcB1VqoSbyG/rf2Ua1j1FsvFYtSVZHlLYYmbRY4JsBIefv9WqvGZIGwxZTaUnMStaEAVpZXJVOqobakNocVlFYXbELONgAs8fKJxgAWO8sLwTRcWlQVdR3nl5foOku6tgWnA+aiLNG0pzhsXwSaUOOVNJ+YdQJizWFOHam+7hLbaIG5DJK51g2RioGzrhVLeXCYQMKhJCbPiHpGl1hGY/0zyo2r0F9aIFxPDkFZk0xX1/E4GGCKFb3r+6qPpgOYgQriqKfeKgcZU9ChIMKbhe1D2TJNcX1+UQbXLJcoJBG0Fm6idbKtol6CufBbnLG6iQryQ1Fq2njbWAmFJxGklB++MSesrblz6leZKW/lwZ66vm24vW1ivutb5Nz/7i6HL5AYNKn+AE5vVYcs0eAcVwDArPGLGnd2HICEQKTcNdD319rT6X3730kGFhQTaXvQPx0wFOpjnJdBNoxOGqkBG3txIrUCXAHEobYU5Y7XQMRtQGsvlfUaELEF8kBUpt3CjTEeLaQVZYG25xILTgGYLCspMrECqte0neMS1yiINtstmm2UuXRXUt9yZTjZ040Al0DqbSnOZL+mdBEQBwsMBNo3EEoUEyCs9CbZtHWt6JOQm+es0NrIaA8IQrtkHgRxis8L8weD6RJghzkkjVsLnFNMIYOoAWA1LAiWWaS2n6R1otSVGtbxSVaj8sqlLTQiFofQbxqn6GobNXerBEPthW1VT5N7wIafl2uU9UnlC2nvyNwYehi8A9pMqvvpU77EWtkehbSVTEMtJknU7NUryAYHh5ezaHn9eo3hetM1hN2k9bXM0TatrvdAy2qy4J40u4N1hW2rTou9NeHePOvWqTFbxgJ16I4oUn74xlR0SxEzMDp9PtA/A6C7ymQnrb+F7PfSsPvWfF+LcrPwxhLEzGAgWPxc5FnAzFxtcaqq+ApxWaioX8sRc3fB26PzG4l9V7H4NpSxAryA+qE4wMcle2R8hq5sY8Hioq3jmKfyVLRK/4RSqiuffFr5CyECe9Nmskmp8ZKU6xsjvx9TvyBJgEjaGwytpQVWOoyk83SGoLoTxo9aRJ5NYg6wz2lYRQRAld1EnIXpz/46NTAZhQyHUQTg2kYEIsWlNmPBDWhE3ROVTHatYuohL5gMTr9UiUHVxqHDKnKxNeTktB0aIVEU3umhme+pHAyq2+0l5tXj0Wl7EI79CfiFMTZ0QKI6n2EWOsshKSQ1MxKiOmMJ+pez+oH1zMSt9PFdGIikT+jajwNN3Gu7IWDoLJ9YDhEOFTKf5Rq35TmmuMSw3aKsYfTYLq6/XFT30raBVACjB5rp5eUlxv6qdJlMaKpHAW14/Na5jri8IK7y36WNIxmwqZfUw9iicvDiwAFSiycQ7Rib1f3gjcnJTqFvbSCaOUCPncC+9xa12pLytdeZ6SCwp7U7OcCBPz1pWGz0l9bocDTbivg6LfFli/iCg0GmuclpyfeTeb2pq37uTGUFOglMtdof4AfI/ojiQpO1YKIQxVzrUH9w8Yk8OABCemCmIoghb55eIuoMEDwR9XUY2BFOKayQasAdg1H2PSqEIvPnjdOZGyQvnzI6WFMlkQVP2VVtjZpeIAilroXtkwFUYEWRgrbqQZo8sECI4JBsbFpG6iu0k2yG+5SmZ6SAEMVHWC0F0dw2j3UqZQwoSW6q64UU7dCZ1SJnBmq/tYxBbKIuWtoDNP/ZQDBx+jHG8UWTruhfQpGbV6we8f4x0ilL07K7W0NiV0J7CWyAVFIHs1o3kAxW8V/XIx5HdRzS45U2MkqYwHsW71oprqZoj4doR8Cmqw5WRh7ocCMS6xAFnET5wx22KIB231Yt2jxsGAzXXKJwwGCz4gMf8Xhbw+SyQghO9kCGFUMMHOYcbvCVdb+8+LnuF4AyHPJ1zzcdbmxcXdflJ21M9Qzl/Og7yUIQJS/bJXcKwfZfkdG9YbILrRMUArYHkMGzZpl0cxrxHG/xOg7xl1qGbopGCIFpzxJxMCg0EruzFnaZ19vrioljYwVtpOuyxOs6xPM2xbW8BQ2JvnSKKNt8MgBOSbAEFn2BCXMSy2m264MT1U1cB0Xkgs946CgKQAagfjSPVqerzJjcG+X98xblTQ1wI8zKKW+90H/ks+IQSI1IpGZRWXbkctltISKNWtf66G+qHUdb23VyWMDeAckmYuJyAFrYyfvG0RvE89A2Us/QChGBWz1qaj5bBeE2Tv+N38OM+9xvotch7QLUkdOcDLh7iaPJcigR6oreZWYwKh1gHbkBhN1oXZN6JnOpg2SQ7nnHY/TPt2jRmHIPxC9WjqL2FYkL641UE8E4rRyllrXd4kGF+8HB4tgRlVutARzsOXQm+sWlknfbtAhUAmhqbY2U7TsixfF0NIAuAgiccKxJcLlgRAYbrVXZRbsE50RS1g7GF4e/RkOa4ggCzn3RYfkznNjlRsaTC2xx6+QdyvImhPZ3v9NneuG/+WLl9+mUWgQiuV/HKmd2RS0+KBvytwndYcSA0/uMNeQWj0p77LFid638E4R2ZyDtbnnpmi5P2BQ1G7TfYhSLyO/loh+qoi3xEcV53S5s/AwXqMFrSKpnooy9eMRFxeaR/hToblplyt2gaLShxUDVAvOb2rZBaZB6ryUWlqb1bRuToujhuh6WFyuLS4Jq4HmimjONXbbF55ePjPSCHCRp1zKWYgbpuziUOmIt5cIaR1hEdae0V24RZUhnyEYsy1afixEX9tDl+QBHQpYYV0YMSnGDWRV7Cid4nAOJjE5ptaA4DFaU/Bf1LeU0oewALx1UPGtU9FuLq0jg7dzo67gSTNUsr53xCgBmg6zuBEcZZDoPfjKLT8coqzn6M6TxdJbg2tBSKzuRE8z95cB32YAMbCp6GafRShFX9tDF6QRL6aA6lr/TW319ehL/WRkDbCURXDSAlZnf0rNygHFoInfDQc8ukJuGGRmDs6O83BXScua9m8cP25hEM7tKu26Syl/tgPRrTVBnZ2e/uRv4pL8DsX94b6YuuWHC4uuU9sk6pPBCYiP923DTqUUv6BFGi/ix3gS7fcj9+e+BG9CFSAkH1fUe+ku0/Eg2GtA4XLeLQtIy6r4bnjSqJ9FMGu5WVgDQkabH0OD4TDYMW9RXtOu20VZtdtBlEZLsWSvzLlBeaHJUi6lL5bl3HhJEBqiJ9D+FGGKrIR3npgZ3l9EWIIlNK3xWZ0em1xwEHBhCdEszi/DCUYrJKywiURsXsK2iVKrqpyrxFdJs4oSrAiRbHDxsVFQdVXsUGFRcei3Orj3FWI9x1YiE4p096ShfVYHmBdEECI90ELog95ZQ6WuI5w883q04q91zaA+iThYbThNXDUZWyqvgQHrNaItWvVI8hMA+kMLdYOdgo9kBUjmDABEWEWa+AE/JHYKSgyHL3LN2Pmn9dMdJKS1CfZVZ2VsH3MJdHxooQFy1DVI3oRGduiXmQ6vIbvVEWphKAA+9E5tOeMQQTiibkGf8BOaPXMezZhQ3URvCi8qsn0xn79qu92hpbsPcSHac3H0/vblF4qaeouYrE9pn4rJ8fqr4b00VX+jTpbnXnfq3b8bc6DsYxMMqDCsnTLYnwUSMbDc4SZ30dJ7yzAJ0bcKN8P9z8iHdEVAB5zE3lPcfmQM+tBZCM2/J2s0k16vkpfWA9Arvny6fkxGBsJnok5o00KH3lhcNpAGzVlT77qyqfEKuD/FAvbK0pZSPUUrsJlIr1ZiF9ZZYX5RlXAFoSKf5vC38zQjAf9olkO5tMZqudbpPPjw0G4QZKxUWGZf4fPosyhqcYcY0LOugKBQzB3cjpJSvWfdo9JR9BU+WpmvVQKiQMYxSzQk0d5ri0D3EOhaag1KVDADiMINCR9SBDuq2DwfW9fWsidyMVGBDsjGty0f7eI5t2PulpJQ3i9j1GWHebOqZYlHKaPr9UH14eIipa6I/nwVwKRM5HFWTCl8BTJMeGcCNIU1LjK9XO/hx4KUJXNPhpWwzNJwqQIQlM5PRwk+ImBgn6ZHiWkPO2b/JE+PtZXfLetd6/pVayZ1Bq0i6UwySEBNzHGBIyM9tjQfVTmgw4WEW8ZD8WNWO2lS7huweqPMAyJaZfraUl49U/4r8bo2wKUjHMWWWgsA4SPSQJbSvyA6oq6mjPbBGN1uRwebVb27vZY6DkPeBN4milNlN9CSpPJTOyccH4TDib0vnmFEpw+INVtEtNaiAPluMEAgI4mtIZ6neZtL0VHsrdXa6IJAi7w+nku2PBnGBOTCA7CEe0FLRZ9NELlOyZB6tpjh0PVJYUkGI/PaH5dMzUl7MoxLEepKXjVz4iYfMhKGnKg8j3AzaaJuTWkxaNhhx6T7ZMb6oKGJd40G2YAMTGdUbX2hJdPJyIjNT6wEThTLk0Ce9LNeHTTsiHBC0lLxpjlwc+UpFdLGxeA767twP2iqVSxS4zxDLpZzisyNCRxKmMRi11EF2xXDbhAkABziyLV6xB4GfPOzsnhnA6EFQco5X1pIWmkxg00iNH7wxLefJ/qDp4G82kTlq4A/fvm+F9/YG/g+3FHbPlMxBj5qatMYBHiOsC2ZyFiGxNLA8g6xecW4j9dwd1vdjYHfsy/dgO1nLxFjEApUKCM22IrQzHRvUi5zinGJdHNkt4oBsSumqF2q3UZvJYSyNguGgYtZEX9fcSakV5PNqIgLppHSWZBLiqjptl2NBRlV0hmLJiP9KtmCfoTbRPpEPJf7FhzW1kgKPeD9un2EKhaKFfqaN3HygTBgSC3GOuM6L+LIGrkntaRO9udbvCLaOlRwUJaCjputCHWmW0bJ815DX7uGbnANo7azjKEL5vNzihggcWdc0xAKlT2AVpt948vrkY9EqPQeF5ec53FGwtHZExw941mhEXPrq6NouppH7ACgIQAV31/5BGHHBsR3nV0usJC7gyjti0r5RP1W95pzxAuhGrxy3A1z5NaWxiYnJaQlwguKqFGKgEwZxcqTgsDBdGQMuNvPxwNxPiyiEDaYkkZkn1JQt9w3rU9ZTrt0fvjGTpeTtmAR0tw32iLmjhG87UIKie/9ydzMwhgt4UWX6pQWfkDM3QFKou2lXmkrrBFcH902sIs+ft/elPS5doetLLg6b86r0zqio6MY0fFm8MKZ1MWnbkI544UsRsttqluhDvckFfnHDVMd5yhgno3k49n9xaWlFiZJijWBwmwRrRhofGzrEolHU5t8HqG7bKEd6qUTEHDLBQRtUUdH3wDcsx00gT0pUdTfUhl3EukYITqStFkYX4tbJRiWANUqFGQZMTw4NKk5yWspETXqzZEeybDQ6O9DHrNoYbi9RlKheulinUsJsgJ07f1kZDIt+tIFZYNXp6MtVIgJhvLwMQ1QjbRmkUJhrwTzS7tefBZ+BGZVLKWI5JxAAC9FVXjx7PKB32zYxDDa4luBAbTzIMLigK+mXhQsHAjeNAQGrRkpu0RwPUXCw4GoxMhTXLCWKbDaZ2lA4Hkg3bJ9gxnnU90G6jtai/4FT4GLPSEM4yiKcWBpJjUmnEfuTH74xcVjTWpQgOHlpmY7uDyBjo3NvwIxryX2jmg6jnD/JCLuEknoEcvCxruJUlIE76S+i37n9wHOd58V6OCJESst2fcv9bbCoIYTDD1UqYfmXF3wtjxa0mHL91vtlo6GuJzhtQisRRI9Zs1RsFqKm6je3azxkzj6jckLQbwtRLRvzCbovVAAV8W0KFoqMSiO2MQ4sHtosIi3ABBY3KMaV6GnHehYB17WVs4D7lpayglwz3ds0PTIPQTAa7sTmxBGdz4FKAyCJcIVka5IsjVqTA0aRXKbVAFeLfY7YGErJDO3KdrJe4vO3v2o0AaxlWhoy/2L6GOny+CrfWxg4LMKt6mIYzgLt8KGVqJz0U61LUn+0saNMnKsLjnK1iAukn133kA7n1q0KuacfPCBqZ0rXoDmZUPH4OztObQodxjCMnIpKYik3ezvbE2kxilYJVKKjHcSh5vNjxLV3GmS9OTtA6EBE86rZrWADyPBY+vYGAhF35DHDRyWP6msONA4XBwJqWWap/vCNqVoyTak8J5Ybeu9+5O7dnfISLb0rSvK9ZwR0WePejjYUJ182aj/RQyI1VY7B99iJHP8ajU9QqkY0edfDfJ8mp6cNlYac0XWDC7ALqwRo6qfAVQsZdE4zSczcIGKysREvux7kIM/RAWyALGBNUCc1TdcGKSzIIrLGVS/LKgXqQas+OMgAmYz8YpNZIWxWQrcIuAHcsQAF6p0jNhHP4I9bJABgMgbkM4s94+io8oBovvKzpMRFDAA/6xbP8xQvM/NQPPSGmZ98dvYrFDxjAbCMiC5vdv5KybD6nF7jdqnj+PjP8fDwTRQ/Ftvj40EE7RJH+YG4iD7VhYpSv+0S83DVbZJwGUCoJgIiOztGt0EiMAe5PuEMD8+DqMwBAbvIE7VIJdWmxUJFvj7mbvMeSKMhU1C7cxV8Z8AQ7F3M9T88OvWGzcUIB56rxsenrOL0+VO8Pj+rbNBhqPVnQ25NQFuotXNwFSodomQOL9LBgZ5VJVEZN4gee52aCiplcPTJ/+5t+Y8QDDJVUT0l5+7cVLnr9tpzN8Haf+a+b/b8WoBQbuKk6rni4kNGXIkWtAuQfVEnsuCxgAikM07r9q6M5p8ksfyN3uCUbDedot7qs20CMlahxlfqjKEcJyPJJ7ChF79aGKK97Y0g14zSksrFwWwl4yu2N5TaP93ptYkFujijkNdp9mnVCiXzKPgeq0SU0osVD6uFE9mIrLkcPuklO6XxL/4NC80kfjVbsj/Wrq6PWayk8YNaK64N2frkwWTuHEYCwzTFYbmjsrQhnO345Ac8oafJAqPvx9j0aWRok+d7rLjz4QaQNh9EGZBMCARt1UWDSsiQl6dw2zbBKpv9EM+1Qu0o8XbdRkOfdeIj8Xr40DJpy1O3Rjm3E/EgJRQ5dgFZWq8SCAcFxOvcOU3n5rXxpQLxn0hv6SgQ6LnZBn5ovVBTHo8nRUGiprJCAUE+iEU8oF5FxAebB9Cu3ssp25u6bb7EEcnayTN7WFvl4GAlDnIan/3QjbndnfJs/f52sXPjplPke2Q2PR/fNu1OQtj+mOoSrzjpadJLh87E6JLNCBjiKInB5W0txeAhrcMNTiMYdn6uAAxHUyIdm/D+7tQMLuKgzeXIJFuS7PlC7+KOyZpTVFNqVP+0bozI3t7M8mjP13FaZwTWzvE8l5kl3AgL5FIZpg0FGUDcHrkCqM+X9DnZUWbbiPSo3Whm66eESNM2kjsBqfgIuZ1oWjja85k5EORH61qaAwZDaxHL21aoBUQFere4vO1dLVI9p73Ui1awyHPHvgCeTp3dVrSQ8FzL4hblAb8kp9QCgdBeisgObXCQqgX9YV0/RFWzWUyBEm1e48MgBVBj2NwMy5oJIKfC4I2oCaPZpBBST1lTchjIeoVFPsQ4XMxn1maC2ABI1Mt5Ae6s/H51Hw0eeXAsahVmnWB4fRbSLCUKQ6NayAJFDFhoYqrNYQB3+26RSpT163BdsFvZiR7yrQKPkKjcNFT6wE5lAdGsJvrhG5Mb9x5lddB7a3/s7Qp/7T01z2PYlVa8IxmYruTaz/zTdHnPmR1436DzZ3EiZr4VEV+VQjgyGCHNU/ed1MtpoOl49I9Y+I3UI4iF/eI7+giCSopCOqR6iyhNpFF/9u2TWYHv1EnEhp1qplEDyQbc60qbn2Q/00bNNKRzkqodEBKT5vXYArqpABtqk3gup8kFewpr5BjVCDCLuMVJiIZSp+/Lel3RFpI2juJJ4J+w4eBzgdImWIcQgXRSjCHaIZJN4fuDu4PUvvc2gHyEmBhdPboEQDTcebCO2FTUtPJgqTXwaJekQQJQy2UGDAIwAWDxRDZHQhzUSUXXWOlpMihIaWyIsH48fHK9niZXEyocEN+BQ2DQ5kSpovene+srxsbmkBWiij8V/y/wzRsdh/iH7sH3k4MMUfpaxIAFyI1xCGhJGQuIebNliZAvuOYcZJq1WTLCAulaApXpOeWBdiYa2KQr2UriYcZPqDG1TjM63d0KMiLcv/RmLfle4qVLlvCs01gAjTf2gSY18S91v7m8LFujgrjZfS7LOBJBNSR1k8VjtQB8/L8OCURdLqJ4nPkeiX6kc7QJLpzGqeWULi9bK7LcTJUIbQ3qwx2FJYJqTlOm7pNSwTykMlLeWw86iirXKXk4UflQT4p/Q1ZQdLq5d2CMGlT29Dgf0Bv2HeZ9AAJRy4jCLxmRU2wpShIIkkiYgQOky+YcSCysA4JiSKm2o6gWS9bSWlic7tSIIvfne2L2htg89i4yTW+L9fqrnqOpf4vD6Z/EQe2ZEZInIlFJQ3XVizG/1aoLjzAwC8Bj+vh6SUsHUEYChSKO7UEbrio9Lg9fVsKNfek97u64TxhKdQmTvMrLayLVXncM0bVb/hbjePPcVDkppNMFa2P2gVjjwdTBi61EbGELMelaa0KjA/lZDHuMhPue0kOFvumAJWtKDTRyd98HPz1N2El2skdSV7c/Yz6m87G3jflH7XN+z64ecWppi8mkGySZQLcgAZY9RXo8fBEIMjNk1FwRoafA6SeNsyGvL0UG0Ig5Tr17m2SvY5N8wGJyGzsXi2suTjbjSUQNp7oAMok1y2uItooG0CoNNptJ8q13EZnTXQaN6Tf0nr4vVDqlWWZqWcFiDoPo0EJHVReL7+qmOFGQ+pkUOUdSpiUo7B5S0H3gj0eUkwbvxAJIN0fAERQYcDUzzRZtj0WFqRafubB8rqf1Q4ql8K4usjYeKgpVoLkRkFntdiNadhUDalvxiQGvQEUv46uBmTzE2MRupXmtlBW8VXsNcVjqLvEcdZeyvS0OIqADyHhTy7i6RkTq3jl3H/BuGO09RO3JRhlHXPCoO3tFbL0H7owE0tAMyS/4WUvnYOzY68jRbZ4hKjQxMluTQ0IMKo/o433YII7ygNdLe5fZBmWUqFY2UXa4vqT1RS9WrTgMwZY3rAMAUIb7+Or+6I3JB7pTze4o6I66ZB8z044djX1jAOwiamsvd27nngoPDHQBaSWa6FRd4rEu4heme6UYuF/XeJoZwWf4XdEie406NthUGUHcB3WteNVQHwuAWJSvbCxSsN3DRzXZEj3mT8l/l/ogAR5Lw0BbvaH5OVBPCVvoDWYLRe+BxaH9Su/SvJ99yJJmlMCrVeuHGoeF4/+XSoV6TtxbRt7tff9dErCKSO+a06R2kagV0bD69LRqu7OTFFtkwLVhg8qhnKZ6QXSyO6DGDmb6y4YmYuI2DtWOVgmppqIZ71s1hwf06PiVCx9aGBQlnrTGpmGuCVHT9p68lg3CbMdpTIBDgKnUTBHDjV33ScARERBfWFQ5pL5MLcNBb5F6o2k7Ezi3Qd5QLHI4sNSYishaj3lA0EJRteGyAXUTOZm/B0d14wvcJ+pElQegu9JyesQ7aQ5SMxzdKSt4r1LqiImEVpWD1WUFckAq4kJTHoroca5XL9ROFdALwTTAH374xhSxd89Zd2/XncWzU+PuTgZ7CN3/rSfIr3kB7Yms4wi1Iy7rRTyIZrZlrxKGDRvWyCzuAK9cOGqO1DsSuQBLPE/S9SiLjz9fJ8biOQ20cNZtFi4+yCRNd9JFqJUa/SeZmKOR6YYGVthitGyIPGrC52AhUcXMkDBKmqnM3gaCQCEH+IzAHqZkFHZ3ERB1L+VpLa8EkV0etjk2Qi0i17jUoylyyeKcTQraayBOi1zDkzaBZ+ecrQkSDBMIJo2irLKGIji/pWaRhy71ZUrA7uvHaTDTpcmXIbDLcQLUuU7HANXZBhCkXZQlaI6OUJ+bQ8MaT6d+F/kBeQSDXdz3lppaLDm5e9bmZAiRdZJM+rIA2+bjpMl8L5HPzB778YqGwAZTlG8tZNf1ttVI1TCmgffIp99iqcHTORBsGobWeHcvYJ3g+SNyjTZYytW0lngfvof6vHJWLBM53icQsDHhVpsq+Y/0S/6BEQlvCOzOzLmrLO/Od/k9HiTyB6uPO3DEjUoSgIrmdNzWdOeApQPRoIx2nOOxCrUHHnElU6TImkzT3P130lSHyZzHgbocQXB+nQiMZMsATdZVCVYIgkFbp1TbZAFZY4pSx3xLT4km8vJ3kRQwuaI5rZQv+5tZ28hMOYEgFobWd0ZdOLHSHRS2AJVDLmbV9CslQaNnx4EjtdSdFC3yhUtD1cMsPAgCeMqkOis/fxIg8vCjroarOfBZoCTSesqIrw201/55QZV274dMHiYsLI1jp6E/A8XRtLekirFgot9BOFcJ4AxAnCWltvZz8sKd1PhX6UKtvUCztKrWfUbTDdWIh1Uz2omQe6OJ44xdwHsImxABue5pk1qC+pouygYk+wA1tRTMBuUcOmYuUWMSFVmbWGbKlktibo+ZQKhh/N0PDhloedyPfboBS1YOHpJA5hxXesGaaEYUZegRGIC9MwCxNKhXbbmfQMm7i0b2ce9/2HS7pcAO+7xNdb5vyt13VhvCz6Me3P6juVE1hnxmQRE9Gm0MXGWOuNMli8Y2G/a27QBqiJSLXXT0HDTW0XSq9gDRddrK1yWfUuMee8FatRcn2t5eQXLFhtWQ9p1MoFqS/ly6y93BMLsfQPezCNbJMIoSHVu7CiU3i9FD15b3uSpsVk0Xg7zt9ypVlCh5MHN2jalnxuztnIGWAyd8totkWwLotTstlWUcyjJecU4AVYTRVBEpGcLlxYr+kz/VitDg1Xeou6i+PmiJQNLLaoAtWa1rPdHcqNK1ONzPlf1ojg5XhkAkg0apewP9rr4j9fpZDuL6qGuyR+65JCqnjlIc1SY+f/qLEW7aKOld6lmtg1hEEgOQampDcBDay0jvBOtMLI8wjJZBFwdTEXXXSW8JgENJIJCI3q1YRKhfGknB4LkukFKSgsrBvlNNd0rpzoTjmgjXyDSIw8tkG//8373ftrcm48fj4/Hx+JM8/n4Tko/Hx+Pj8f/t8bExPx4fjz/h42Njfjw+Hn/Cx8fG/Hh8PP6Ej4+N+fH4ePwJHx8b8+Px8fgTPj425sfj4/EnfHxszI/Hx+NP+PjYmB+Pj0f8+R7/F0nd5FDFiTnyAAAAAElFTkSuQmCC", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import geometry\n", "ferris = imageio.imread(\"../data/L06/tx.png\").astype(np.float32) / 255\n", "ferris = skim.transform.rescale(ferris[:,:,:3], (0.5, 0.5, 1))\n", "\n", "H, W = ferris.shape[:2]\n", "util.imshow_truesize(ferris)" ] }, { "cell_type": "code", "execution_count": 48, "id": "cbba6a76-9a28-4811-8899-2c88e289fd68", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def warp_ferris(tx, **kwargs):\n", " fw = geometry.warp_cv(ferris, M, **kwargs)\n", " util.imshow_truesize(fw)\n", "\n", "M = np.array([\n", " [1.0, 0.0],\n", " [0.0, 1.0]\n", "], dtype=np.float32)\n", "\n", "warp_ferris(M, dsize=(W, H))" ] }, { "cell_type": "markdown", "id": "271d5a3c-8dd7-4688-b2c2-a20782853fe4", "metadata": {}, "source": [ "##### Homework Problems 2-5\n", "\n", "**Important note: the coordinate system conventions here differ from the homework! Here, (0, 0) is at the top left and y points down In the HW visualizations, the origin is at the bottom left and y points up.**\n", "\n", "2. Scale uniformly by a factor of 1.3:\n", "\n", " ![](../data/L06/tx1.png)" ] }, { "cell_type": "code", "execution_count": 49, "id": "2c22063a-554c-4759-9e7a-b59d4f3209e7", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "M = np.array([\n", " [1.3, 0.0],\n", " [0.0, 1.3]\n", "], dtype=np.float32)\n", "\n", "warp_ferris(M, dsize=(int(W*1.3), int(H*1.3)))" ] }, { "cell_type": "markdown", "id": "0310b4d8-1f5f-40a7-8cda-d5f78e25ec30", "metadata": {}, "source": [ "3. Scale by a factor of 2 in only the $x$ direction:\n", "\n", " ![](../data/L06/tx2.png)" ] }, { "cell_type": "code", "execution_count": 50, "id": "a8074194-fa25-48bf-8ce6-df70e33be9e3", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "M = np.array([\n", " [2.0, 0.0],\n", " [0.0, 1.0]\n", "], dtype=np.float32)\n", "\n", "warp_ferris(M, dsize=(W*2, H))" ] }, { "cell_type": "markdown", "id": "c5492de0-af5f-417e-b583-3c22c86bc6df", "metadata": {}, "source": [ "4. Skew or *shear* the image so the top row of pixels is shifted over by 1/4 of the image's height.\n", "\n", " ![](../data/L06/tx3.png)" ] }, { "cell_type": "code", "execution_count": 51, "id": "d17a3c56-2706-471c-bdea-724bc4b98037", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "M = np.array([\n", " [1.0, 0.25],\n", " [0.0, 1.0]\n", "], dtype=np.float32)\n", "\n", "warp_ferris(M, dsize=(int(W*1.25), H))" ] }, { "cell_type": "markdown", "id": "e5e413dd-c8b3-4780-9af6-e1fb37c5e17d", "metadata": {}, "source": [ "5. Rotate the image counter-clockwise by 30 degrees:\n", "\n", " ![](../data/L06/tx4.png)" ] }, { "cell_type": "markdown", "id": "5de0b6d9-e010-4fa5-bdb5-eade6688f37c", "metadata": {}, "source": [ "* Rotation matrices: to rotate $\\theta$ counter-clockwise, the matrix is:\n", " $$\n", " \\begin{bmatrix}\n", " \\cos \\theta & \\sin \\theta \\\\\n", " -\\sin \\theta & \\cos \\theta \\\\\n", " \\end{bmatrix}\n", " $$" ] }, { "cell_type": "code", "execution_count": 52, "id": "4e72f15f-ee4d-4bf7-bff6-ffa6ec4f5c54", "metadata": {}, "outputs": [ { "data": { "image/png": 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WOUYGU89gGirKipvmOZIkRxamqMNAmqQSXZ16DdkzHwmBptRElBpIc1OddJkhaCsBD0lleeLOc0WF/M5Bk3nALGpKsfM0UdDS+XtROmmGXLeQe2vw7SW8NTzGn77/Hq61dWxaE/Smp9DsGuAuAQaP6TwhfsEp50/Fd7UAw4pflg6pYngZwYv6vPiM5n/R6IiQFJbZaMSaD6ag0XHCiyLf3xSGZgtIc3jwEN3jp6hbwBdv38D7d9+X963uWfBqNpIkw2gaItcybG9vouHGeP3mOq7uOrix10L3bIbD4xi72w3sbLdQX+pAyy2MB0dAOsFwluPSMvCsBzzvpRjEXTwNP0ZzxUF38gRZvY8b1zp4962P8b1/8xOcnPbRPxthe/Uqbl96Db/x+u/gtb1vwFjRMZqFyPQU03AGjZGg62Jp/Tr6o32MrD787AiPHt2F27yKzqaG4/0Aw6EJc2Sh0bahJQ6ceo7VrQTBzMekl+L0aIb1bQ3emoHAN2GHHurmJqb2AH48QRANMJwewNKaQJaj4dI5HTjaKpLRE2hNB45nwPLw83PKMIrw4b17eOX27XOHLIAKfvQFEC51H+vGSahjGipnZL2mQB3lSIxuLPzrTgrbVM5oGQRu+PpUhE1i1pBsT6hIxrq07NUJ0ipPy7Q4R8rbxQmMmNE4Rc6UNMoxHQWA5yIP2RRhmmoh1Vh8q0jA05z1o5zIRca62JqZW1krzh2SqXURuQRsZeQtaklBOhNJIS3bQsYorJtI9G20dwysNWa4s+6hF1t4lnl45hMI4AOVKO9COTuv3ctkWdWt+QsRsqhpy9cxv4Ko13D+enLUTQ1RniPIsqJ8jREmBjwzgx/HcCwdx919HOw/Ru/sBL1+FzXXQtO1sdJuYTaboV538d/8N/8l/uX//BfwebIaKS6tG/i1r+ziq7c9Qa2fPJ2h0zFw61oLfpTh4NjHWjqEmQV4+rSH4STFKDJQN2IsuTHaDR3eziXs3lnHtTtrWN26gbffegd/+EffxbPHh3h20IVl6NhaX8PXX/kd/O9+879G21zCbBhivD9D6mRwHJYlGqLIR9rPpD1mYAWGdgC31cezZw/g1W289PoWVnbqSIMU6UxHOHUxGxtYbqVoLwfoN4HJwMfx8wyNpRpqKw4GxxOYlo2a1YFrLsPSjxHwwjJ9Dg0WbKMBUzflfCT4s968Cd88gm5ESOLpz88pafcfPMTlS5fQbjaLVoeKikwD2TuME1Xz0SEl3UxUZGK6Kk+sq1qQzsgmslM4pClpqJyC0oyU9CqDpKtERvn4PK2MopcnV/2MKXERMwgixURfE0S5g2GYYxJbSH0NVkjAQoedqjaN6pmycb8QjxYQy4W2+UI0fAHiVA4kAbREP8W958BL6VUGUU++JCEsOLA7O/CtECf+EUwtw44bwDZreDqLJZozUiunLEuBMkqXrZIFRHbh2ObR8YX4fh49yz8YbDXlMVwtRlNj2eDANR0kiY/JoIvZ9AhPT85w2j1FEATymHEMPD89wmQ0UeVEkuKHP3obr768i353gpdvrOKbX26h3mpicBbBtC289FINLOcPDwdoLy9hc4UXQh9P94c4G2YwTQetjoFoOoGWD3Hl5itYvnwDdd7n5An88QBpEuPpk+eIpxlaXhOtuoedrV2sr6/gaBjAWWYWlWMyTaQ3aBsZah6BxAhRMIM+yNFe3cK0foIkCpF4M5z1+hgONrC514I/mmL0LMVkEsPspmAGqtnsXbK+9DDp++h1fWDNQHOjDn8SACNmah20vC0k6VME4Qhj7Rh16wC2XkPdXUbNbiLDJtLMx6i/L877c3VK2ocf38NXv/w15Tgp0UuFrLJ36Mc6ZkWPj20PPlU+rx8zNNwMTSeFa+VwLUZG1YOcp1p5rpDahCCJQmmZYqpIxhMtkxOcV/dUUuGiviKiymPIMjipiSAzMQ1yTHzAcFxoaYiapSHjeTaPhqqOEmKCcqVPVJMFoLX4S3GaEoJWaOi5s2TntZ6wdFQqb+tAwKYD695cxwxAN63DDrswMxtf3G3CP47RjWIkmSlQdMnkKRNhqfMWepR8789j52J9W1b8L7omgRk+al0HWgbfkwz1hM19oNedYtY7wbR7gFHYR/f4EBHr83mZrOHy5SZq9Q7efvsYt65vYtgd4ne//TLWmiluX19CGAPd7hiXbyxjbW0Z9z96jjzRsdpx0VzyMAtS9Hpj6LqNlRUPUQykmoZZ4qKx2sTGsoWsbSIKp3h4eow/+b0/x+lhF50Go+YObm5/Eb3JAZ6f/QiPDt+AbW5Ch406GoDuwp/GcGoaOksNZIgw9UlT4FW9iZWlG8iyCGmyD386VM6lLWHrWgtpOMJofwStW4dh22hvOGi0DExHU8ShhXFvhkbbge7k0Lwc9VYDKdYQpUPY+hn8fIogHGIaduFanSITNBElIcIwE1Q6SIKfv1PuHxxgde0Y7c62io4lspoUfT62OgrKWolgsufYYKPaTOWKxqhICl0ZEbLifKYzMpubRawjmW4y0hoC1fMEo0MKUJQVYIr4ByMo+5kKxPDzBmZpIPVP5sdY3/PgPddhhUDdAIYvEl5UEClQzEUY5wVc9YXirkRDy+PnQSSKPqfzAsRUVp3MaRoj5TuRTRGnJgwtEsqe1fBwaf0yngwiHIxC3Fqy0Qw03B8EQucTNhPR6aJdch4ZFxofC22Q86M7r/XnP8mFgmhsAidPkEWAawKeEeJsHOH50310j3uYpaEiXgCwHUdeSxiE8lgPHvbw+qtXcWV7GV+43sbrd1bwtVsWjk5SPH0ywt5OGy/fbCJmbR9MsLHWRN3TEUcxJjMds1mEKLIRBjP1DtauwVm6iVdvetjs2PjRX/85Hg56+NF77+HtNz9Eo9nAF7/4Jbx6+R/i1279NrrPfHzv7f8F+8kD9MNTPDr4ATxjFdc37kC32RJW70PN9bDcThClE+m71vUW6u060nyKLI3gGz5ODvfRXlnC5pUODp/2EWc+ZjMdzsCCYRsC9rRXXbnoD/ojHD6N4DUsGE0dXmzD93WYek1qb9eqS8bIlpfpP5da3NRdJJkvNDs9d+DojZ+/U9Lu3b+L61/YLRBWlV6qhnzZUigJpar3SLTUNBR7hW1HOmFKWhzZcawfJcppBVLLOlQ18DM6ZBnapFHIVJCRgk1utlGKKMFgoBPlsjDLgSAL4McZQrZlImCjlmMt4WWioLSVkMpC1PzbSBHz3wmQU5z2RdEnZATS6TK+EA2aYc0dIUtjZLxCBifIMILrWHDzSF6P5/ITqMGsr2EdNt7cH+NXtnVca9cRpRmO/VRObiFMFK0MeebC2RWqukg0WLQFgKgAhORtSzO46QR1vu9JjNjPsbLiIDZzPH/+BKfdCfSGjSCKkGYsKwysrW6iPzrDyuoq6o6OlYaN//w3XsedSx7GfopH9wbwagau7NQxHQ5xdBTj8tUlTEZngN5EfzSGyZZTHGIyHiP0p5gQ9Es9fOHqFdx59WtI0xTBuIuPDiL8yz/5I4x9ckV1XL32Gv4P//v/I1r5VUyemrAcD5utG7inv4/e5Ahd/TEOG3fR9JbR8Takmc+Wl83+KAK4Tg1GkiKPNWQzF83aHsLWAGn6DJNJDwfP9hHEAexGDqsVYnqawuqb0kLzllxoeYQEY0TxFIf7XWzsrmF1bQURASUzEbCz7qxLNA6SIaJ4jJnWAzILtu4JgcKzGjCRICfd8xfhlLPpEAf7D1Bfva2iYk6HLBrPBYVNUfIYEVUDnB92JHVoyY/NhaHDn4mUhgXFjYwa9g6VQxaMmgUCmTjg3DHKU1GdfQqk1DDLTUzTGP1uiGs3WqgbEdpGjjUrxyhUHNp5RfYCnlOmrC824s9bPSW2yisLu5xM8/gCFVCUZxnSJEAW9JEMH0OP+nDqHmy7hSDOEARjjIcRTL2DJVNDu9bBWsvBB2eB9DFfW6/hg26A/Wki6DNphUSJ2fCfd0XLKFj2IUv6Y3Gg5zVnWeey1aShVm9hy/URPj+CHkUwljYwjEwMggjHswlqRgOTKJAIbDkOzJqJ62uXYSPCl29v4guXdXzl1SWMhom0n/a2G+isuLj7oI/Lmw2YQYQgSPHgCU/SGTY3WpgkEfQsxsHpEDEcdNYv4etf+RLWNi6h132EN966hzd/8hHe/Mk7sBFgo6mh3loGL69vvnMX/+g3r2F614eWmlhqrOPyyquYhX2M/SMc9e+i07yOmrMKFx7yiPRNwLFdNGoG+qMZ4iCH5dThOWto1nfh+0PMJj0c7z+H1/TQXHbhtDREkwRBOsNsoiE79KE7AXQCjy77tS5CP0b35AxamsGuWfBmDaQ5cYAp4ixCzDQ1HELLTZjuFkyjBl3nJSlCkPyc+pR/m/UO3oO9dFOmBcR5ihNmfq2ec6RZJzJ6kRTAq7A6ccjU4W3pkGxVMNIK8bvgpC4CMPM2QxEC5nVU+Wx83jxFnkYSFcJ0hiCtIclTTE6mWN62UTsLsWRlMCPFbpmPXrwQalSqVz6+PNMiBY6/Y6QVil3RzxM+q0KbknCE4OwB8tkBHDOF51jwPAemXcds2MV4Osbm+rKk2cM4QEdPcHOjhr+8PwL6gSCd1zsOPCfF/X4o2YMasFHvcPnqFQBURssCkJr3LcvaU0VKeZd1HUuWjnjkI+v1kMQ+rCsrSMwa/CSD6zrYulQHzCaeHSXY2dlC7I/xytUOfvVVTne4ODie4PD5EF94bRd1y8CP3jiARdbOsifHOAkzvP+Dfbz80iaS1EGeRegPAqRWE2a7jS9+4Q6u3biGHA2cnp7hf/r//jH+5ocfwPM8XNr0cJNgytTH/eMAjz98T8qglfUtbG3cxvDDCDXHwaWVOzgePMV0MMB41sXx4C5cs4lObQ+2VlMXMdbM0OHauSDKILc3b8E21mBbNejGKcLgDKcHTZjWLjq7TSThFKP9AeJjH3XfhtfSYTdMNDs1DM5GGA2GWFkjh9dCs9NUlM/TAEbgIiexJYlYbcBKPST5BGluIxdMhUMJ5i/OKfMsxujoXbR2vnHeWVuYLph3yUhlS1XUNDXlhCpaqpSVbyTZNMrf1NjSi/XdnJBy7izzPylQpARtFNsmBjkrfjxDkNWRpTma7QQbbWBlBCyZKbqJar284OBzps5idlhOcqjXogCTTNWg4owKxCIlbTZ4gln3HhzM4Box3HoTq6vb0oMkcLK83MbWzjpsk0yYHFEeY5ZEaFgObq27uHcc4N3jCb6828KtjQbCLMfhNMMsyaBLOygtata/vdYVh5xft8pIqvi5LCEcw8RoOIGdpFh3bfi6jvc/eiQnv227WGo2EOkt7G0Fkqp+8zdu4zd/ZQPPDyZ4fjzDcruJG1suLJ29TRtXLneQBiE8w8bRZBlx4mNrbQXTaQQNMwxmFoylm7h1/RZuv7yDPGeKCfz+7/0xfu/3/wK6oWNpeQW//dv/CN++M8G9d36Mt959hpoWw9ENPP74A7y3exVbv3UFaSNHOEnlIrC1fAv92TGGsyc4PLuLmrUOU2+iYXGIwYabWHBs9sRd6b8mQYwwSwDLhWNuoF7vIwm7GJ6dYXl9Da3lGmpLGib9CP4wgUE+dbOONEkQ+7EAiCbZTUkGo0Eyuw59ysCRIo4TWCSnEEjKCNSNMIvoXgQxXTkfWar9wpySNu3ehbt0A1Z9feG354R0pkKK/qvqIzVuZUCxAcv+4HlbQiLPwjSiigDnY1YLfPB5PahuVUQOw0RO9Cu1MMtS9MMQvSnfdAcrdoxdS8dHcY6BRtctrgzy3OfYq3qOkj1TnPVzVg1TQdXyKIGWNBjBH+4DsyPU9RE810G9sQLbqYGdMgG6HBc18ktrllxGsiyBluU49cdoOXVcXnXxbBDhdJbh7mmA65qB21sNuL0Q7x/7CthiUJYxMOWY5/3LcmrkxZaJRHzpR+awDQMt6fEqSt/K0hJaW6vIzvqodVaw69mo2QZqAL7+pS38+lc3JH27d68P17XwlZdX5YK0fzrDZXOMRDPRbLv4i3cP0XRrCNMQh2cjpMkEmW7hyu1bWN/bwSuvvQxdb2Aw0HD//of4/d/7QxwcPoflGHj9Vhu/+Q++htXty4gnp3AtA+2mg7rlw9FinI0SPLj7Pja39rDTuYboRMdSYwmb8Q2cjQ4R9ceYzcY4GdyHZ3Zgtz1YhiXTKJG0ytT7QMCFRAez0ULN3kFcHyCJcwTTEN2jQ2j6JjQ7h91kspMiSgIMz1K4TfJ3ddS8GgItQhSGkrrzPeXzMjK22x0BiXL4CMIQceojj/qqR5d3YJruOUj/i3JK2vj4J1i69o9fABcKn1Pn80LqR0BI8VJ4Up+TyxbrxsW2/TwqnNNtX3TMxecRL9KRmUyFHYyyCMM4QfckwA4h/UaKxjjGjqXjLCYluySp8bJxzqV54Z/5bGOJuKrnMAwCVCniYIhk/Bz69DksBPDqLQElWBfxMUmI92oNrGxvwJ/5CCczISnbnIIxDIRZhHEeYln3cH2jhp88meDxIJIJhtcvO7i8VkOm63h4GiBkISwzmue9R6ne5/WvSvznrZOifOBrYOq6bhmYpCkcQ4fBnmKSojdNYLi2ONidKx5efmUd6ys1nJyM5eTb221hbbmGh0/OsLfZQKNVwzRMce9xF4nmYHdzFae9CM9Opvj+3TNcvb6FWzcu4Svf+Ba2di9hPNPxwzfexF/82f+C7skhYwsuX27jH39zD9c2DATDe5idprDbr8Gsb6Lm9dGsmWiYATwTePrxXezduoPdr+2heamN8DkHEGrYXL6D0ewMJ7O7GE4OMagdoOaSMaTBjBwYpg3DMgtKIcuaTNphhlOXdopp9BHHxxj1OSXjYnltCe31Gk5nI0xHEcCWleuguVxHikRq5OlkhnSSwbYs1JpMgzUEE5JaAviRCw1jxMlMQD7hYBusjFPknAb6RTtlNN5HMHgIb+n6C85UppOLpLEShihyvoXa8JNp7yeg0IUe3CdZNiWnRUwnidpEZHqYZqG0P6ZZgvHhGCs3ltB83sWebeBZlCNKU0W/E6bR+XT9eQteRUg1LnVOs1HPlQGZj3T4CBg/FhK8bXtotVcEJGHaxAZOY6WJ1mpHlA6ijJmPJidIyqkW00bDrcNdX4EdG9haNrA+iHE8SnE0ToD9MV693MFrl5cRJX0cDH2ESar6qSSPL5TE5xGy+LcoMynOYORAx9SRRYlcYCSHbDTwtOujP0tRb3j46p06fuVLKxgFGp49HWJ3s4XL2w189PQMaZyj0yFz20Qw0/DBkxTbNReG04KlxZgFPry1y/j6+hdgZiP8w29+Ceubt4QS9z//3p/ij//sOzAtE+ur6/idX6/hN751C/HwALOzLmI/RBKxwe4hb+2i2XyGdmuChheixmmONMbx06fYv3KAK5sN+MecHnLQbmxifekl+OkAfniG7vA+HGMJaGqwtQZM04OV2cgKdCINA6RUAZCgYMPQa7BsG2kyReQPkSR1ZByF53CDQxpigjSxMZ34yPQIcRIgDH3YllMM0WuoNWpIwlB4r/wsTUbpjGyyFGkWCg0v1m0ZZ/uFOyVtevQTeMvXz0/sOdZTAD4/PaZ/fqPS4Ypibt6NK+7/AuhfMFzK+y8+qpyHvBCYHjLDgJ8b6KVdDGKSjH20xx7Wdzx092PsuTq6Ew3pfPrifFD4fHyK9fDCsZZKCkzJWShM9xFMT6HnpGgtYXlpRWQopn6IzlYHlsuTOMLp/qmwXCzHlGl6LbXgNj3UHRdJOEP37Ayx6aFh13Fjq4aT8UiYKs/OAljWGFc3gZu7LbiOgQ/3B5KeMQ1lfTm/vs2bUOekATkh81x6s0xLh3EsQ8qrSy0YS3WcnZ5h+8oyVjZrqHkZ7t87xN7lS/jKK5sYzRI8PJ6h3a6hzeb/ZCwO6loe9tYbiCYzJKMjPB9bMJcv4WuvfwObHRc/+MkbePx0H//mO/fxve98H1M/gKVZ+O1vfRW/+8/+EezZd5EOHsM0ANNi3ZdjdPYceuLBbF2DvbyD+ukIjdoMjhFAT2Z4+ME76Mig/RK8zTWZvGlkdayG19FnQJgOMJqcwDEfwdBMtNgiYRoa8f2mozCNTySipbMEumPAdZaRtcbonZ1iOh3AGXiwLBde0wQ7GOPTCLMpGUO8kobyuXVWlqSGZPRLU3YOVE+PFxxGRctqSPmVpJGMa3FA27WasLXWL8cpU7Iajt9GY+P1uYMUp/KLjfgXGW0LfcIXfvXJLPIFuP/8N+doZBl5aeSZMpoEKROKGo6iCGu+heXjAJsrDp4dRFg1cqw7GQ5jdQCZxvaLks1Y5Jufz4YuBnOVRmZ2G82lVXRqJC3omCaKYrZBMMflVTaU0Z00jmHaOlrtphT9SURQS0dIZQWmuOMxZtkY19Z30WnYuLbp4uFxKC2hJ92pcHm/dnsDV7daSLIUT04mIq0hkzYyiLowYVLWmgSNi+R8z3NRZ9WTEJQw0N7ZBZYaaNqhjLuNQ8596lhbteFZKU5HrHdjLEu/LsHde0dKBsR2kEYJjPQE956OMPNjXLn5Gr75O7+FZquDZ48f4uDZIf75v7yP6TiSAYPXbzfwu9/ewu62BX32BEbtEtKDuzA7dSlfmKaz3TMbHEHPXOS1FWlBcNSrVY8wmCUYRRM8+/gjXL56A6tbq4jHPF46VgOd5h5GwT6G/nNA+1jGpzhXa1MWxmCkdAU9Zw3v+xOQXsUZVrKA4tCEDgNROIM/HcFoaTBdG8GUY2yJsILsxIZHuRTbEISVDpkksfREmb6SbODV64gTEvNzhKEGLWaC5Qs6yWwpJ7Hkl+GUtAmjZeclGHbtfHyIc3nnHZJ/a0Y6B22LSKh+XU47lLdfjJLno8U/FS3lrdOlFhumFrrZCCe+iy0/hxel2N3RcfY0xRVXwynfwPmjl8JXxSMJM0HVvuqCUCoNKG+1vQ7qbox0doYs5+hPDW7dRZIkmBz7MF0XlkVnj8EMJowj2LU6bNvBtNtDHoQincG0B1mIk/EAl9Z3cH3Tw0EvlGiZphnOxgHefdTF7b0OXruxhjCKcTyYyQC4xpODYFIhTFYOO5evo2EZaBLNjhNBiA0thbuxjNM0xRQ2QvJf6670j3sk7Xd72L5Ulyj/7HlfLgjNuoUwDJEkI3THOhyvjdZaB9e3d+C1VuA0t3Cw/xT//F/8Fb7zg7uI4hxrTQ3/6bfW8e1v7sGJz5D17iKONJjWHrL6ZUx6T0TtgEh7xBnPUR9p6CI1V6A3V1FrjNGsBajZCaaTANN+F6dHR1hZ2oK+YiMcx0IQb9e2hAB+Nn2Eid/F2egJkBpoueuA3ZZ+dJKmCJNQRumYbgbxDJmdw7GWkdo+wmgmpPEosEWmxHR0GblKBY2k8JmONMpgmJRQyRBHdM4crudJ5mFYBmyXDKAIeR4iy0LEnLyJYuScUyXo88tySiJOk6Mfo733zXlYmYMypfcUP5cTUos2bxkWg4AlGbv4qfj3vH78qRZj8djyVw4wx1QtSDCBiX40xenQxtaGi6118jAzzPwMew7wOBJgUQ1ZlylzOYZWksIXqt8yjSVjZ+TP0KmbaCyzWWxIzSZgm2mgVrNRazQxDUIhEIwOTxFHmdScGsOIUGc0+DPAyXWM/RmmEdkojJYOPnruF7pGwNPjgUzG3Ly0gpevraF22MPDIpVV7wcnJFRtzCt5TIfPY6yvrkJPE/hpjBUzx87uOoaGjUOOUEk2McGgNxR6Y7bmobZSx8lxF0Z9RWiSq8s1AbOG/R5CYwntnTu4/dIN3Hn5JRyeBvjL7/wEP/zv/ie89/Z7OOtN4NaX8Vu/9iWsZh9grR5jfDYGXANaoiHsP0GQm2hs7mB2/AS5EQtXmRe0KMkQDE5htl04zQ5qzTM0Gz6WGjF8zsWOBnh8/x6Wtq5ga6kFsw2YoYMsWcLy8DLOxs+E6jacHKuaUnOkFQZMBQGl87DFEQQzZGYkWkXUmjF0SnnkSEjs8GeiLWTAgVsjJTJHHiUSFXl+pClVBFKVDrOTEPHCwGF5niipDIvnmissIFX3pMhyEh9+TsoDf1fzzz6E17kBp7n902nrwjcvRrhFQcNzqL9sScyj0/wWC/ZCfntu7IOS8BxpJsa5hW7k43Ayw9qpjUsbFnbWge6jFJcdHd04BXn8irLNZyLX9oUrxN9yDLzSUo5Eh2NZgoATfKnVOboUo9k2oWWaFPlenSlSAN0yEc7CufOyBzbo9qX3ptcdGV077Z/h5pXr2FkJcNSj05eCVToOTseYBSF+/fWruH1lTRySv5NUtiDEc460d3qAw6ePcGdrCy0jQ26YMoi8wqjZrOOjaYyRayMxHIzGZzg8OpWreaO+A7Pguy7nYxi2julwhP40Q6S3sX35Kn7tW18X4axJYOCddx/iz/7ob3B4cIrID/CN2x387n/xT+Au7+DoUY7esx/CPOhie2tVTe+EpKE1ReEA3iaC3iMlNSpsrwxxOEM2HUCzdTiNJdTqjJY++pMQk1kf3WeP8fC9t+F90cPW7h4mvgaj76FZ28Ja8w7Opg/UtIt/IrS73NHhmjXEUYqEsjJ5qmRnhCXFAQkPptvGeOojDEaCNudZDs8zYdcUg4q0xyxNEJMFBo5hJTAM1RsnrpClGgxTR2u1jWDGssJR2jySAZHuwRbWLzNSFjY5/DHc1s6CItsn2gwv+NKinMX5kPD5zc8lLRYd9wWbjzgtPiqDhwV7ZQ1IpzgbneB56GP5xMP6so3Oso5L0wxBL8HY0/FBkMhVnC2buWTjvCVTglAvvgZ+wKZmI0gmcHglzlM4NerukJiv5hXD4RCW58KwLFgewYAMSRSh3xtBS3LUTEuoDhxvYxbKIZHBbIxGrYHdVR8fPfNVCUBdnSxDrz/DT+4+xc29VXzllV1k7zzEfncqtSqlHU8PnuL04Dk8w8JSliM9PYbmOiDUkHkW7g0CPCLh3wnQ2lyG4y0h08e4vNeC4+g46gewdAvOuIfU9JDrLtrrW/jKN15FZ20dYeLgjR+/iz/7i3fw/OkpDo/62Gpl+PY3OvjijWV4k/fh15uw25cxffQOjrtTqb+Xagb0JENyto8gs9FYITnCQxozXkNq7txPMR12YdZt6YMy1W81Z1iacng5wvj4KR6+b2Jj7xJco4bEaMDXY9hOE53WZfjxQPRZda0Hy6xDhyWppq4RLdVhmI5wVuUTpaOkJBYwQhiSubHu5NWVNSAzLHKsZT5zGsOfZTBdTZhPpCDz4scIaXD+l6OGhfPx4stzxbEcRPwfidelONwv0ymjySFmZx+hvnproSH/yZbDJx2ytL+FGD6/7wLJoERni+kO0aE9f+jCgUwZ6I3cBobTCdxshsPQx/6phWs1D1dvANMfBEgcB700x0GSIuR86ByQPRfG+qlWiUzuO6jZlN5kfccrqIXJaCr9S36YlmOLoxDO87w6jNTC6eER/NEMTs2TSEQ5DZKXOclgmUDkj3F8coI7N1/CattBdxBIL5FXdoJJBEWeHLDHFuOrr17Byy9to1br4v6zvnRbGzUbUc3By2sbeMmrIZnOkMc5jo/3Mdy4jPzVL6N3OkbsD2BRya65gu1dDcMxR5rG0ldttzrYbu+iVXNw45Uv4NrLr8ho3sFRF3/2Z9/FX/31mzg8Gcso3P/qV9u4veciGg45Qo5Z9wkmUQOJtwNv7SWcPfkhsmwIrLfh8eKTTpEmB/DjVdhOC1k2g8lZV9uAoYfSIvGTM9i1VTiNNppRgM6Mo1g+wtEU0biHJx/ehZbWUNc24KwtIc8bmPgObKOOmtVGFE8wmp4IGNRwV2QA2XVaMAz2r3kMVNrjexohN5mF2DLTmuVsgyQIRSqTmk50Pg1BlAijx6RsKV2VDCvRM0qFFshJIDpqTCVF1pc2R9DYFokl+v5ya8oFGx+8gfrqS/+O0cQF0GYegc6JAi8ori86bSkkNa8pPxlaz5+BJ2mSZhhPAuE8dmHhaTxA53SGds3A2rqNnSsepk9j3LaZ5maICYELEfzFgKxQ2XJcqzzIDEHmoWa2EMY9maMjqYAfvmbqUoOwDcKIOj4bonfcRxJEyhF11bR2ax6SMEKv10ceRVhaYm2aoTvso9PpYC+J0L83FhZPKYDN+5/2pvjBWw/x61+/ga+9fgXTIEGXDJdMw+bKOq66NThBiNyroeZQ3SCDt/tFuLtfQGIMkQxOMI0P4XgJTJl4iLHiTUR8OjFqaGxdxze/dhOZuYTRzMHv/8Ff4U/++G/Q7Y5wcjbGP/nHv45vf+0SVtJ7xC8F4d4/GqLuWAgmdxFvL8OsbyG1VyVL0fUxVigyGyeYDo7hZg7aay1k5IqGHFdT6X+eR0jjEdKsCd124TVaaLamWPZjTMIEw9kY/ZNDrG6dobO3iTifIrIj2J6DVn0NftRFOBsjxAiW4cLNawIEpXRAcpMzoqccsi1FsjXotoMMIRJR5GOKGsKk+jssaKYh6CuBHrl/yMFwXcgEvF0q9SVpkEyNiWGEiGLqQulwSCtM+Hs13fNLd8o0mmB08GO0tr9a/OY8yvx0TVg0IxZqSVVbqvssorLzaQ2xUgLjRQ5oCcuogWhmJxSPNTADI2KKx/EMtWMdDlLsvtaBP+jBmGbwoeNDLcdpUcwLGiC0v5KyVTzn/F8ihxYcowbDDBCnofBCvUYNumVhNpsKlWv69Gxeo9qUWshyOHUbyxtLmFE0akwwwsTq7hbyOEIYTtEbDtDhxP5aB71RjGdHRPXokKxTOZ8aIgonuP9Aw/XLu/jGl6/je2/cRbAf4yo0dGwDVqspKfLzaQp/6xZWf/U3EBk24o+fQXNqCCMLg+FQqXjrjkT+eqOOzNbx9LCHv/zBfZhmC3/1N+/i/Q8eYf+gi1cumfhf/5N13Hi9jY21JWjjDfgHH8h7PJ4MkMcUYQ4RH32EfPUluJ0bOLl3iiydCrXN0RIBz5IBVes1NBoe8nwktSVPZL6+IIwRjs/gtdbhNpfQ8gOMJwnc4RRBlCEej3D6/JHo/Sw3L8FseDAnFuxJHZ69jGlwhiSdIcmmSNIpZsEpTK0u+jlCnigGzlk/ZjFrQw2pTg0nAjMxdJPvRwrDUWkvKE06SeBPCeAwZUnk3JJ+NXuViMWhw3AmIJthmNKnZB+T/OhYWikXwClp44Mfo9a5ActbPpdEFFukBHAlwbkQlDLBNhcKuIL/unCbsicn33+i71nyVBfFPDgkTRcd6w0chmPUJyFaJB4fzLB1owHcm2A6yhE5KsUZUgGhQIFLXuz8eIvQriRrc8xSG227iUCunETxQmAWYzaYwp9MJYXh1dKuu2ivtuG2XMwo2f/4GJbr4PLtaxif9RGxP8Y2B3uYUYj+eISttQ7WOyc47cVI01DI7DUvgWOlcEibm5zg3oMpvvErX8OXX9rDNSqxj7oibGVz+n48EsU856Uv4sRowz84g7GyCwtnSM66yE0f240aps4qYHVQbzdhCzCl4433OEv4EI+f7MNJJ/iv/2Ebr1x20WmbSIcfIm61kaceDHcZnt/DxHKE8O44JtLTh4C7Bi23BdTpj54jjsZoEUTRM+jRADBdGIYLLXNFSZxRhx+mTjZNPEXoj2Da6qLqsC6uRZiEAWa9U/QdD83OOhrNDmCSvMcZRwuuTX7rCjiWmWWxOGhOXiszmIIbXLYEyI3KBIZV6LWpW0iyWLW+OIDPTpOsdkiQ8SKYT5EnGoyMSLdMZAiDhwPuJKQr4TP2RJm6yg6Ni+eUZRq7cuO3P5FZlmpT5U/nSOdcVHixWT+fFVzMdBdoCYsYT/FLcfQ5N1Q5OVPZIEsw1OvYjyawBjncj0e4+eV1rK5ymi9BPEphuzreDTOMSr46H+WFmc7imITixw+BA9kubLuJMJ4iDlKEswB5QvKyGoB2PBuXr+2isbqE/eeHODvoo9GsY2N3QyIEr8p0SrdWQ7uziWDURRDNECZ1EYvy/RAHgtQmcO2aTEMIYhmnmGYzfPDOB3h1fRc3X3sJ99+ewQlDtENfwKu1L30d2q//Kj56FOLG6gq6955AH7wJ14OIQzdXWthIA0xaS6g3ahgNgJhk7cP7GAwmuL0BfPlSA6/s1tBumQinAfzJBPnxfbjbLyGwVmAEB3DA4XTW2rHU0fHxA+SNy3BqG/D7p5jNJtDSGDVXg5VHyAdnSHNeCGqI05G8T6atwUp0pEGCyJ8igyPoMS9eNS+AN/HhT/sYdi2cPH8Aw7LRNLehmRbsmoNa1EYYLSML2I/sSzRkHzcnrVEno0kJYAswxs/PUEtohDNru9BNXrpDSUlZW/Ljk35jmspUC8kWclJwYsRW52UUxuKIvKCq84XAnAVdZ6pMZ70AQM+izXoPUB/egtveXUBhX0xR57zNeb2oHODFNPdFIGdRgnEBdJ3fr1x9UE58kB2TUCsn5QdTh8niPIphU5D3/hiXdzxcX7aAdyfwUqq9aXjGxj1THLJ92MY4f5KCc1seaY5ZZGHZ5TzgWHZZaEX/TTcMrG6t4fK1S+geneLpT95Drd3C3s09QQbH0wlaxpKkTF7dwvLGCpYbdSQuFdUGGI8DrK8tIUufwbH4XnFOUVPKBLImQEfLcNCcxBhE+0BnGRs7OzCfHwidzNm4BfO1r+DeJMfsrC9cV5tjYOY6vBqwdfsK6lkGSj15XhPjQMdH7/0l8sP7iKwmbm3ZuLPTwZ3VDC6dbZagluvwLB3T3j4ydwVaTNWFZdjpKWzNwHQ2g26myMIuDKMN12igvrSFcPAcfjKDyf0srHcp4+LWEfgWDKOOPA5h2aZajhNEiKNAZhM1g6CYC682hWdl0NMZ/EEXvcPnQmTwdpfgra8h0VIEgQHTdwFfVxMf6Wg+h5pqsbRBGJ1lKF8jvprIeULyOtdMMKOKkxRp4MtnTIfUyAAiQisaTCqJkwgaEW2N2CEWHIEgkRA6dBOWTW2pRNpVc6Dyojglbfj8DbjtvU/Uludqbeey/J9AUMsUdd4vLKlk53MkpbiUsmLafmEajDOTZXwjwye1LIRpihEa0thNQh/e4QSWnmLzUgM715rQn04wjXO0HAPvh7kAQNzBofqYHJvi+NOL5AY+sy9zfE2MRieyEKm54mH30jamkzHeffM9QXVbSy14DQ92zYVOIa+IImImNla28ezxYzz78B6Wv3BbgAXyK7u9nqRBq6trks7yahwTOeS8nmGipntYMWzUjVyoXv2PH+Lq3g6enJwh2n0F2X/yTxG1NjH9m3uIDns4dlwsN+tYXb2GOtXf4lU4rSa8pRY+ePNt/Mnv/wskgy5evXwDm3UHe0spbt9pIjl9Ro1RLJO7S6DDyJFFMWYHD4D2JcBowjaHqLnqROUKOJ3bU/wesmYdSb2DaNKTuss0ErTqtgBhk34PqW7DqdnIcopmE2wLEbLR7yfIghxe04ZhM1q6cL0AzTp7TTHiyRBZwgVOE+ROHWho0CcmLN+DF7QQxyPEKSc3fAHKKIWZWwonoKMRbZXdJTJBkkjUZPqq2iGJYApsfRDYYa0rBAL+jUwLcsZMAw65tSkBHiLubK1oiOJAaktFy8uEwXXhnDKanmBy8gGaG6/MEdPzXRgvpqbnzIIFMOeFiPjTZIQSDV3cQiX/XeykFE6dGTYiLRLHVav4DHwYxYifj/FakOPq6xuw8xjacYT2MIFuaniWA8+oZUuOLEcuivmxuX5OMd4VphZadhONZojl1brwN48ODjAdTmUiwao50IqTmqir47TQOz5BHgX44M2n2H++j3azjsPnB1jd6MBt1DEcDKWB3VnpoH12gsGIoAjHvkw0DBsbpimgjtOwuT4IO0jh9bvQdl/G072vYBbVoD3twxtMEccZxqaF5foKmi0bZjBBEns4OhrK4PHR04dY4zIaKg1ihDZqGDwbo7+ZY6vmiNBWyuyCKyWod0QJu3iADHXYXhN6aw1ZfIDAsgRl1rIQST6AoXmw7BZcbwnTxIcfDWER1BFQBciHA8Sxks+I/FT4wkTBOQMJzjEG3MtRF6X7dstTm8HGmpQbo5NjmFYdUTuGq3fk8yHlrdZYEiQ1iDixw1o9ZsMGumEXwmYFM1gwn0zWDGQIAJPOyNE8XiRYX7J0TKDb7BOT3UOVvLTod+aIIv5MHJGEkEzU8rizkrflz80GVSYuWPpa2nD/R2is3YLGbut8GLfsQb6IayoSwXk/8N9BG1h4LDXkW5qoThbSjOeDHsUlwLCR6ExdbPQTCzpHsMIZ9N4U+LiLS1sert3x4LxzhmSooWboaNg6jrIcPQ7QFsJbIsC8sOaMxxamJppLHWGIjHsDSWcIUtTadWGYUCWu7rnY2lhHveHg0Qcf4+MnRzIK3ai5aLUbsDzKZ6bw/UCuwqxtpoGFra0dTCYzOI6NbdPDhuNCr3GTV46almOJ0bPmoBvqGHUuIdl7CcG9Y1infezcvITEXsXqaIbr6x6i7iGGwzN85zs/xsOH97CxtofXXvoSvjx7huH0CNM8hB0MUEcE/+4BzK/vIrdiAbEkWqTs6eUwKYMxOoVebyG3PFi6A1cLkGqG6NogHkHLDTjrDaC9Cj+cISSDJk5huRYiXhDToZI9IU84VftcSMAgrZDRJo4manWdpcu4lGg9xQFmoyH6RwRkCNKYAGvVelNQ1jRzEcd1xFmAUCIlHYytDNVHZs+RpALJRtnqyH1kWiiMJtmhQkcWfFgBPnRGIq1xRIFQyVPAbJ7nAJ2Pj0vElXUnHVTI6pojCLkf/ZzFmP++lsW+OGZn7xvnCFhh52p15cauF5Ebca6FNmRZx5U1o2iiim8UBPVCWEttVi7u9EIbk9QuQ0AYIqPcl2pZHh7yCve0j3QWYffmCrauLsEeRTg98LGUAtuOg/tRipOEc+ZMI4uWzBwZJk9VQxxyKSrTyUSIAU6jjnqrLvSy5aUl7O1t4OToFG/+8D5GvaGge+2lOta2V0Vy4vTkDGN7Ii98yuZ/GkG3PLiOg536MupZiqWlJrxWXdQL7CCAPZkIPY6j1nd9DZqlI3rrOWxtgiu7KZrbFi61m9j/2MfRx3fx8KPv4MO778BsbKHevoJOYwOreR0byzfxsmvh4+7HSJNQFielwwy9J300lzQYFMeecoiXiCPRklRW4mVnR8jNBjTdg4MRUt1AlIcw0whaMkU2PUNe34Dd6CCcdTEL2Eag3CizxATJdAq7XpfhZG7r0ln7U/2QbBleAKIApuXBqHmS1nuzBPaU261CeX+Qx+BMsSEXCy4MziXl1UM6OWu9EElGwbIUrtR7Ss5Dxktz1pKZPC+jYhyq5yb9MU5iIV9wCCAOWQezT8kLoSb/RhHnLMdqfwzrSl4xJCKwng1kqzPXIF5Ip6SNDt5CY/UGnPrqeY+xGA9ZnJos/XIRuJmjseXsoNSiBcT9iV2u5xMn533Q8r9ls0R+bagPZ8KlmZQiZKSj1MPpFJMYuL3XxO4rbTRdwDtOUJ+GqBs6praBh5x3jMin5ORAoYQjMpRUrMtRd+swvEwYPZxQiGILS14T/miMH313H7PRCEfPTqRH2Gw14dZJro7l51kUYTT1JYoQPaRMhjkdox3WseTUEGQTQf7iIIDFVX+DCQZJjlOvgdN8DZF3BZ3ONta2G5j5KSZ+iNmzE4SP+rj33ke4++afCr/0yqvfRF6/jc7yTewFJ9jwP4bursM16ti1G+hzURLrrihB91EP7su8aGhIwwxmlgpRQma9OUESdpEtOxIVpWlvxkhtS4SrsmAK3aQc5QpCw8aErJuAayQi2WPCGi2LA+SkRbocCGYNRoBFmhbiDBYR1FwJr/F5bUsT3rE/DRGNxvBHXOzniPoASEbndJZpCMvKMT0EcYSEUh2i2J3DBDmqXMWohLMZ3djoJ0DHXZ5sP1H+gyksyQYktLM21Cj6RmRV04XAHgSTuWpG7EeicEcmjzojiAso0sKFdUra4Nkb2Lj9O3N+6idnn38qPX2Bul6KQ5XjSXNB8lIU4G9h4pxH1rJVMp/5YE/MtJHXIIthopB9Sgt+riMYhZg+THA1TLCy7OHqyy109gc4Oo0xTnI0DANbriFaP4ycfS4UEt8nKZyYCGftLGgGgRxd6sbDJwP0z4aYTX2J8p1OU2hZvPLLUDJ3oCRKJa/uOlhpNJHNZthMNKxFIbx6A1azJarvdhxjTdfQm85wb5IisJfhR1egNa5i/coOVrcs1O0+hv0c9w5SnJ48xON7P8HMH+DSq6/BbFzDtVe/gX50GRYd5CxBHHUQTsaY2lSHW8M0HIriINHIZJrg5NEZmksGDDKeUkXIVpKalFaJkPW6ANs1lisSjWyoMxoyoTCjKeLeEYzaClrL25j0UyRRH3qSyCoFje4XhcgsRiHuB2UIJRsqFyGrlGmy6DlxnE0RDersp/L44gkmgzMYpgvHqQsibTpAZBATSIUwzt6iEvymk01ERZ2tEUOnYoArJ4aUPxpTZtbCM7koUMqDeIBQHAn2CeEgkNc8m/lISK3j5wxbOR+lP4Q/yyHrKZIsKHebX1ynnPUfY9Z7jPrK1b+9rfEJt1yUu5insOXw1if7kwuP8ALrZyEFLk3VEkyXTYkapFOlpoFhmsoCoMhkY36G4w+7uLVax6Wry1jaqKG+muPs+QxmL0aTH6Rl4UDX0bd1zKTmTDFJUkzCHA6V1ZZMZHGIs94Aw24fUUC17RpWN9pwODScRVxWLFdog+wSxLjUbOLq5jb84QAu2SVpCiMOoSdj6EYbzVxHxzGw3xvgwdkMQ+0aIv0WLu3V0drcwHHvAI8fHqBuroG6yB+8+QPcv/cuNq5/BV/91rfQar+MUbyDwGqgZukIQh1daxVt/RBr8RQzIdrX0HRXkPoniKhrOo3RF5DDRatJ+lmOyJ+JEDUdk5KVGiVEbcpNmtANT5BYflIJ9zMGE9iaC6PelsgU2Q0E0VTkTWp8//UcUaAkNbmRW9Ms6LJjhlGLX5mARyQYEIWlhAnHrdi/TSIfiT+FPx5KH7LuLqldpVyJQU5taMBILKQkBySqJma9aJt14bQqhk+xC5VjVjn/xu3jqr0hk1nFXCYvoLxtMAuK+pJq/bx4JJIGk3rHdDYKRyIbwpNR5mUvslPS+s/Ji71yLhxc0ukWPWyxX1kyfgog56eWtS58M9dLfqF/qR5fyOulLm0RUZlYsI/FN87wmlJnTjlWJX1NTQR6uc33YLyPG50Gtq50sLHXwMpGgv4gwqAXwUx1dDimZZoYGzoGBkWnDcy0FDGjL3uiMdXfOqjt1WXgmGBCg+kQmkjTCazchKcD68tM7VNYXc4F5sjMHFrsIx8FWPaAtm7gfqThb04nIp9pdW7CMlq4fOcSbHuGOHwu0xZH+zlODn+EJw/fR6u9jle+/p+hVVvBRnYTnncd8ZKH4xHQ9jQkBCucJgbuJk7iIezgDLbbgmNPgUlPGuiUOdGDDME0g+OZCDnHGaayRl1WRjANDX3kSQ/G0grMels1zuMZLPJ8icL7Y4RnR9DbW3DsOlK7IZMaQewr4j4/koTASl0GiPm80Pj7vGjOA5YQ10maUGr7lkWwKUHqjxBZdbhuAwHToZjk/Rw52UOyZpBAEecq2XsM1aKnlCqBMSzLkfpQDSCoUS2qyIsOksYSR6Wkac6LD2cqmQqHitVTsM+iaKa4sZLqEtyjvKQunOuT3tHFd8poeobRwbtY2nntHIQ573QUVjreeaR7gbQzF4r6hELsnAn0Qj/kp8l9c4ctV4/ze9Ys6oMhwtoXKUwXoZ5hkEQ4OfWxPjrCtdUadjZr2LnTwWovxGQQYjRNMB5HsIMczeJ5mc5yY5hRX0btyh5830c680VxIEwT0Utl6hY7HuI4hGubyELqASSyxs3VgWWePK4Oc7mNUZTj+x8/xll7D1NrB4bjwWwYWF4y4WenmIw8GPE2ukf38dYP/xwIRri1+xK2rn4BrteBNg2QnxzCaO7CzhyYiYbRIIHFhrlho++tozU9hheNoAUB3IQN9jqQcTOWqiUnvalKyV1OV7C24r6UBCnbI2ku+xizaIY4Yg1ownVdGQyIxgFMco4NB7o/BJwGMtPDaDYRBzNlPE1tmGb0ZWrMel9kcGTRbXEp5u9Je+PyYCKlsomNNMYEeTTGuJfDayyj5rUk+2GtLkJlGYnmOaJMkcMDIrokd9Dpck+2j3GggHQ5RjzSIsvBaGru8P5EacOIg+dpke4SISaji7Unp0XYalOCaMhtTGZTPD78GNPggqKvn7Te0zfQXLshyuHKFvqVC5MgP22fGHqeN+//LSyf+e3KyLsg/jFPiZULC3m9FPuinEPKVeRAFOUYmzaGJvA8TvFsf4rdsxm2n02wuuRhdauOpV0gGgTwKZ48jTCNUkxmbEJTydeDrWUYjAbCIuKHLlq4fiyzi4xCctJZGZp6irpjirSIQVYQ6jg+eo4fPD7Ck1GOfGUDTnMJ7c4Sag2q4c1Q9wycTjdwfBLivTf/EL2jB3h59wqMaR9OwwKFz7cxRphP0U1M5KfHqOcNuJmLfpBI75SA20xzcexuwAjPkE2HaECDC7YOHGSZL3tAYz+FPoqgux5MS0NM4eU4hk3ZSpP1XSh8W6PVgc2WTUK5zFhkPymRSUW4TOvD55udprAg++egG2TbqO4hgR+iperkV4ucTJP7SgmcpEL8T7j8N2FEMuUz48ZpP4ild0oBrEDGQDhozgfNitq9GFKQ3aFqppLoqLRL5DxkRFV7uJU4WiIasER4mfbyHKK8pKY7EjEZUSM6t6S/pOrxc7ThBz6O2VOeDP6DfOKX7pTs+9Ax12/8w/OZynkae367RScr+5cvNjqK2833OVLp7fy+5TfnKm8L3Nr5rc53IIuYk9xBB1wqCmhIwkx2nowzwHNcDEwdp8EMj/wA690Aq0966KzW0KmzaW1h51oL4WAmTfbRlLOWEcJkiBUrANqupGrUi3EpElwnDmji9KiPmh9hlJvYW93CmdPEUG/gcfcYb5wGOBknCOwmVpZXsHVzTaY7fE6b5HdwPLyO9976Ht78wV/gyvIGfu3a17C0t40g7KI5eoYrw31sNZcx82o46/fQ7z5WEdDdgK1bUpfZpoOZ0wD8NnTG+pjN8hgxR8a4RU3onoW48yyGTq0eV7GKGN1ybhcj8MP3zsqghTOR+mSLo2bHyEKuk4hFI4f0NDPV4Dp1aLaLgGgn2JuMhXqYBAFMm/simXIqBUDW4jQ6nh/kcBwHNh1NwCaKZHEqjJ9cKGQDwQtyYraGtDTY/uDFkMQN8mXzbCybuHTNhqUbkmKTKqeokRYC8oajqdTOTHEl/ZVeqSkTPcPgRJBX0eghsMRWTm5jv3uEo97J38snfulOSRsefYD25i14rY3iNyUh/RNsnvk0yOKOxnOGz/m6gvNoWTY0S/Xw83hY/K18hgWWUInpylVUnJONYAtajZMjLPLVZME0zjBNNIw1XdDXZ+xz7s9ga1Ns2AkaH+cyF+mYpjgptzARibVW7YKUbShwwnMwno5weOrjwVEX90/GWN3exZvjHpqXPYxqfdzfP8DTwUxWk5PT2tzs4ODoCYJZDY3aqxgeZfjh9/97NA0N//DWVxhTMCE4MRri+toGlv3naMchNH8oS1tXNKbKI4z7B+isNaG7FJciuhmzmYwp16yntsw7WjFTSlL5yLbxoHHsSmRMEgRjspKolco9ogkMjpXJHGoGzGYSPDSvCUt2bZISrsPMNFhpJvQ+I2NkVNuro7yGOJ5hxil9Al7UGpL1EIoAHgZEMlP4MyLE7DPyMsBpHIIrukhv8vNni5C8HX/aQ03nLhFbohn7w3EYSfajpFjYhwQcnQJvOhyTQAyjHrV0qIQYSH9S1ZekzzF9pjMaiOMAg+GRCC6bVLw3LGkB9UZ9PD/ZV0oDf0+7EE5JO3vyBi69+rsvUtBfWDtXRE/58Xzfx7kawXkoLeOnDFotTHHIIy/0Pec2l6U8r1jLnSLlY6ukl3M/bA5znIvjOtwBkmEQhWjaJlxBCQk8BDjkYlzNgDcYwoYJ6yQTqYtsEmPaHYhIc5QkyCYD6Y0lhoWZ4WJkLcO8/iqCZhM1kspXDAyHjxEYOa584RKaKxu4dedLsFrr+ODuczx78BzvPf0zAYu+duc6SLJL4WAwGiINZrCGA6w5CVbdJczGJxgPzmA7dbQ1AwF8mHEP4fhQXmpqOOgxMnBzM09es42BRYL5GCaXWRI1JVKZMoVNBCHVghT93gy1hiE9RG7VlkglwA8/twgGaXkGiQBqdyj7hgSv5C0mcEL6nOVBkyiaSU2qetDqI2C6ytYLo2EUFgPJmpq3ZEbEqCVtx0SR/9WURgjD5FDyDGPfB5dXcrmsRHhu1jaAJnem+Cq6U3kwjDlEruRFuR6CGYE8HrXrqOvDXqxOlDoWXi7TWkZIMoKomXTUfYrx7O+2rflT4ZTT/jOMTu+jvXZDwdJSz5V9xRc1e5QtLuTh/88bHYs+VzroeZa6EF1L2f8XrKg5FxHbBaHm+cMwXdG4r8RBGiYYRAG0ZAai3+0GWQY2fEYEQvvSGlAnZMAPsLmEkNozriOSIPWtS0IGNzZX0FnZxkROiBRHb/0l0qNT1JZyrF7ewOXb12HUm3DsNUSBh8cfPsOD936Ea66Ol7euYeXaHs56Z5iMBjC1AXZNHVc5P0p1uNUVaNSLCQNZ2KpZNhzNwjQ2oI8seJqSwqAzEvLnNExo1TCyOrCCU2jpBLpmoK65sOy2qPFl5K9OYw5OwHI41kbmDUEajkdRcZ5gTMgJRxmpIiBjeg7cMBe0liEtjSKYyQR2GKEp6uI6Zlmx/pBOwVaLnskm7DAi2KIAOXYkKLfBviHbI2VJI+MCJBawDgzHQjjgZnFN53RJC16tLc7Fdg3pf/yYOfPIFogwJSkDI8wf1SojUi/HIEgD3x6yedi3VKsdKQFydHaCHufcfkZ2YZyS1n38Btrr14pzv3SOUsNU2TlDZ1ENr5SxLEGihYWpi7S8wglLgGhB6md+w3MUt1Q4OAeISlYQr6q8j8hVpAGceo7AHKHu2VjuUAOGV1imPFwVaiPhyj327iwH+ZXbSFuX4GytC41PW7+CwA+gby7LiZoYBsZv/wAHf/nHqFtjbL6yivWrG2hubiDJOeS7hu/9zdv43l/8AHtXbuMrt67CSroIliNMxo/guG0ZqK4ZM5ixjmFM5zAwmE1gC5l7hsmMAl9ETA3YHLRIdBGstmob4qgTnvisMaVnx+i4BDcZIGT9a7ZgsJWTjyRzEDeIcoTTGKhpsliH6a9S1ONgMIEPxQUlL5X/k/YCx7X4laSymYzKU3TknAhwHiHKqc2qpjUo1MzUmhGWe1foKDXPkv6hkBI428jEMyYnlZ8NCQLchKX4rLpZg2EpVJe0QPY6ue5cUtLiw2e7hAQAfraqD8mwrtQGZR7XYPTkczE687UY6A7PcNI/K1QM8Nl0ysgfoPfsLazuvT53MOULL+6PfIGKt8CBLf4otridRP16gfxe2oKkyPy5ih7mPH1deE5GcPamwmCAPJ/A0Knlwi8HzaYDz+MyGQ7JFryzXCsmBRTwkRmpiEWF3st49uAIzc4ytp0IiWvi7NFj6MMYjWiE2bOP4NYjtJfr2Lx5E9tXd/Do8BTPHjzBmz/4F4ICr2+tY3OtjZq3jlE/xDg8E9ClvXJHKGrsI3YRwqf+aKJDH4+wttQsenSBCA+nSrpNTlwjs2GT5EB5/VzDJJqqHY+6JSl1PRvBI8oVD+BxMYnuQmdNJitJlANopJ5Ka4AtBLXLW1Te2KQXtFmT9Ql8Sy0OCgtxplgryGiUhHBJV+RHF5IzmspqAo4xUleVjXxqHmUaPwemlOpTDsMEs4CtClUr8nhYG4sonYzvKZlPLXcKQjm5yKwZia8qIgF1XDnzyF6yaPZoCjiSpcaCwKpzkKoGI9nw1f2Pqhs/NU5JO3n8Y7Q3rsHxKIb404CMuNeic73Aay35Op+sMwuhq0/0QsVKR5xT9M4nU+aLvpiGybhOyK32MM2ZnGweJSM5eEuyuU3eJD/AVCIQxbCI3GUB2S8UzrKEp5oaQ+j+21htb2Laf4Bnf/AXWH31q8juPkM09TGp1xBlIWpr61jb3cTp8QC93hl+8N0f4/ioj87aGpaWddScEHl4ALd5DYnXgp9NEcXcFPUEhtmRGc2Q4sLkjVK6IjWgTWdwmM7qusD1iZaxty7RCckZQP1Umaz3YHBkil1x00VsNTBIlmBHY3iw4elk68SsIJGkEyVKTLCFzuhkIlXiCqmb0atQZBdSNpk1XHSjpBwNPYER8n5MNQN5TNuw4LLlQsI3WzHsj7CUF/4qI6aaL1Xi1BkmlH0MeBwytIdU1OOYpZAwriHNfGSUlzTqQgJhFmNYJGuoDoY/m0jDn4AOIyR1dXg8HCIQtQKeBHx9HIwPA5wOe3/nfuNnxil5dTp59GNcevk3VRSbT3rwr2X9uNDHVPf6qb7lC/S6Bd+eq3nMubILKuuLafK8P8r6NkUYTjAdH2N1rY2lVktIyEQHXWrgUMuVYANijIYDEWEaDaYy0U5xYn8SyMlIoV6vMYYb3UV0eh+D9+5hvfUSkp98AH11B/bWLkwO9h6eoNFeQRg38NE77+Lhx9/HygYXzzaxscSe3wSmNpZIFPlPYdoNaKEDPxixCIDjGvBqdXnjImoE5RpORcoCWHJsGVkDB3k5Mwmf+uBIOVEfWyJa3ORGbp6EGnt5nD7krg0XNc3DOHdhagk4A0IKHKMpIxQjE+ceOafIqQxOYvDhTXEgqjYockHMnS0mVcfZpEilBtU4QMyoStK7TmRXg8fehgEKcpDrh5QOxoicZPA5AM1eZ0zmjJrwKOlv8okx8hqs5RWqS8qdtDj0WNBdEg4STqxEydwheZ9SLkYU7wraIDNjXnTOhkP0J8NfiA9cOKekDY7uobN1G/Xl7UUO+ot0ufPc9jxYLqaai62TFzZpndegJZpbUvLOpUiKdLjYgMwv19HRrC9JIJ5NQ9RqHlZXl6SVMZ74aLUaAjhMxiEe7D+BbdtYWluGZeYYDDjczAFZC7bFHqaHVuzild3fxNqOhwGjz5VtrO5ewrMP7+Jy/Rr2772DP/rOv8Tupeu4evM62kvAcqsGjyndREMcU82bkxImDDJ9rKbwLaPEh5NNUKttiaNwwsEX9okGM1EN+JpF4MmSNQaUcrR0MlCouMaG/AS1zEBMMkPGSMuIlyPIdQy1Gqx8KABNrpkwuTqcTf9cBgoFyAkjbvhKYBOJ5vtHhItsN6bwDGfSFinWJzFychcLCRqF1q7Nz8O0EDJCSuHOPIOUOOWIfpRgwoZ9sYR4Lo0mvq7NI2S5WZsm7BylXYnQ9xEFRzDMmtoNQme1WL8GQiYQap04N78S9CdTnFHp4WdcN37qnJJ2/OgNXF3+z897jYXNm/5zezHFPUdjz+2ccFDcYoFUIF9qk9x8tY8KnvwUmb5wno7NciJuudSLbF1xOoHpDD8rRszJlGlchjCi4BZ1PjOJkJy3JKOl5jVgxi70gErtN2BmPtz1EK1LK9jb3hXhq3f+5l/h+Mkhhkf3MOv2sLe0hi9uLuPSzhbG1hSGncANOBgcYZiqiRZfN+ByoNhdRpYFiMOJiHZpel8GyXmcuR4jMDSMYhLaSa6mJAYjfCw0P40cTT0WHRsS4in0RI3UhPVW7KsWh6bDNzxM0hpszGBkETww4tnIuRKBTB+mibw//8f6i3Vbxo3IsaLN8R0takFhTRW6vhQJ5InoED3VZE0YUlIdyYPlbhGf+ykzzKgQSMSWUdXShehNuRH51KRFlQkjymbdKSOeivnDdJeorRDZmcab1HelM1rQuDqderMElKQHrfZ9THyq6Y9EjuQXbRfWKaeDQ/SPPsLy1i1FgVuIdIvo6ryvuUhAn0uM0BbSU/5v7oDqli9Q8hYmLYUyIPUht/cybYnhejWZFmgte2g2XQSBD8t2pSaLIl9p0gTUpeHG4BSzozOZret0NlFvb2F96TU49gpCa4jMCBDVWvBrO5J6dh+8i8O7P0Yy6mM5dnG7s4ffuvQSrq/aGDUcHNoeBskImhajaerwDA3Phf4VIuMiGduD67aLUaEARkLHbKg1AGwxGJRR1BEkGtwkgedw+sIWGU1GV2aVouQt8pU6coMUtRw2OaYiNgWEuoOZ3oSjT2CmM6HFkRChyUo4tadI44yiQcfWixXwKSxGNcFzlMobh8KFY1z8jk157oJ0qJGTs40SwWBrRaI7BbJymXEs2c9MbYnEhkJxY7qpIqYt6+3U+gDVHsnnzippLkWViQ7L8XD7NrWOVFtDnSOMxgm6wwHGMx+/LLuwTkk7efgGljduyiS32E/1Ocrvz9k7L6wYL520yEnLmrGcw+QHszgSVjoxp841WYc9RZSMZbFpu9lAe3kZvZEvcPpkpp8/Dk/cXK0n4ExdPg0kQbPhoum1cXnr69jZ+QbCvIuJ/gheZxXdxxMg1OB7p0jOnuDpT/4KX7+xitXVZdiDPfzG8h7WGw4cN0Sfgr4cNk59TNMMy5aBTo1Ech3HWYYpZxQtD7rdEgkN9vAoS2kzmnCzV2Yi01NBLWdcq5AZsFM6tkXhRvjBDImCQuFI7TdGHBBpbMrUSqRZIohByGrG/irTWG0CM2NUYQtECRmLmpu8H6oOS4nRyO4TNTRM8Ib7OWz2KyVak/hvUOMYZs7R5ERIAkRWmUoSVmPCrRegD6dnXKa2QiKgfIiqVenpQrUrtmEpoFzt/BQuM52dxzSX9GBtyd7kOarPKHnaH6A7/MXUjZ9ap4yDMY4f/gjbN7+xUDsucGLnqOsCF+cTYyTiOIX2a/nvZDxAFEzlg3RdD45XU+TjMkrqPtJsJPISZKasdJaxu7WKVLMwnPgYDbmKO0R7uQHNpMwEdxYaQkCfzCLU7CVYmYd6ZxPXL38Flh1h5L8PY7mB5c2rON0/QBYm6D96C2cffAdff+1V/OP/zX+F600btbyN0Qcn0IYzeJxYQCy7NL0sgJsDo9TCxLJw2QE6iSFE8CAOMBn1oDuJrG9nvUfhX10LFNJp8uRmFJIOCMYzTlKk6HAVfJ7LqneSFXTWlxQjzkaK/mZSvLiBqOgr8jSPdAc+HNgkiDO1TKaoEW2mXCNXAch0RybobQGbCGEtnTNt2G88l2jhrkd+I7L+7I8miURIcXAZEqboMeCRPIAcQcS6N4VfOLkI2OsFxU8W7TB1JdmAYA4FrYq+I184U2I6acI0NpVLCEkg/dEMx2dUU/+7KQN8rp2SdvrkTXR2bsGrL7+YjpadjlIHpPzbAop6Tk5XHsmrYa93jMmgJ9PkxBKSRksa3R4dU09h2gQ9fJydjLG20sD29hq8micpFmU3ONDaOzlDHrEPyUmNmqRE/niCaKJjtXENNWsJnZWXBDGc1gZYbumw4jb2T7qYPLyH+OwE2ayLHcvAr1y5hq+ub+BKaKLV3gK2tnDW42DtMaLUh8sFs3qG5SxB0zTRs2oiOxLZMepxiEYYweEoVTIRMrfttaCbjH9EI9lz8+GYDSEv0MkSW5M2RRAmmEQZamYplckmo4pIBv/lqFg+gwVXiHuUYFU7N7nWgX9kvaijYzCl5+pybs0y5SLGSOezBk8pdEwEU5Ep+PkICyaX+KrU6NiUpBNFvD25sGQ+lR1EDa44MnuMBmJKfIasfTkCrmpLddHV1FJeYd+oi08YcsxKHbMqRQphLFkMS41XB+PAx0l/AJ+UwgtkF94paccP3sDV1/7RfDLkvI48J6ArNbtScKsEds6dUglrcbKGStVkZnAigSRnX8AB10sRZyEG3REcN8HGxjL2Lm3A5qgQF/5QKCpKBUbnJAFlxcNpCtPLZFawrntoN8iYaaJWW4Ef9TEOJ3jptdtoaRHufud9PL1/H07cx4qd4ldv3sRXb17H5sfv4dKjN6HVLyOPKBBtYXlzDRHHu856wuWycwvNPMUGI5XdQk8z0I36kn4RuWwZ1AfKMaNjMcI5nqSjcTpV8485LzTUN2UUJS0uR8ABalZZpAEy2ohOEvmspJGxC6HDykM1eJ2lcGRzmYpoYcLjtOFqnmj3sLXBCRfiqkRZ6WSMwJI8chSNUpQMiJxLlJUcvEAqpXqpLUW9XOktGcKHJfOGBQDlO4rPm0hw8T0fi3UqiQeyhtDkeJ1aESD7SAk2CXjA+6iZRwUoKW4sb3fc76JPPZULaJ8Kpxwc38e4dwvt1UufmIf8xBKg8vtSpWCx1SG1Dneos74ohHgNDe2WAcdNMegdCol7eamBcJxjmo1wqGloLTXU9LjBD1yHbbrY3q7hbDhDq9FG5ieYnk2pCYzlzpKwP4ajQ2zcXsPmzlWcPHyCH3/wAH73OWrBEX71yg381m9+CxuPPsQVChhzFD8dA+E+8mMNue3B3LgMfYXr4QKZ+KcsRRMGdnLAz3NMcxOTzMRZqqFmWViycxgUbObkCtkpBDM4nGtYkqaxVUKEWBbXMAlliW7rFB8XsoDDyXw5WUWeSkjWJtsF2QgaZRh1oqfcr8GIR/JGIqpVesqhatVbpjOqfqNKPVnTcU8n1wSoOUhNOSXp3QmfRTmPU9SXJVUtK7Yj8xCtXDk3FQcZJW1eC1ngM83l42e5yE1Ka0ualcwCVE3JB6CjCutHmD/q/DjqTXHUU/KQF9U+FU5JO7z/I7RXdwsugAIlzkWZz7HUc9pd6YwvFpo8Edjob9RMXLnUQqPBOpFthBA3b+zB0jOE4x56JyfodQdCZ7t+cwdTn/0rymEkCCYx9EwXwaS15SU8PHkgEvu1ZgtmTcPenW3E4QBv/uvvwB9MYKU+bm+u4Rtf+AZuj0e48u4bcDVORATqeJmzGSFgjpGPj5A3mtCX28jHPQ77U/lZtWaiBK0sFSW9EWzENgWJDXiUufBj+H6EGXdksh3h1iU6UtgpJqrKGpAoh/A4c+SWgYgyHXSQJIdDfVLqE1H+ghGJzpAyzWMqCRi5CYtLV3V+0TGACZeiiqBWAoeLcuXE12WBrrSQyk+AOStHqgrHs3LVe2S0k3Ex9j3lX7JouFlZLRiQyRVmB5yThAbHMCR1ZV7K0qPucrkvxMmFvC4sHBIHqHbOPEjJk/Cxu6MA+6czWd9+0e1T45TT4QlOn72P1d07haArT9ZStKfchrWgzbNAvePvRYbS0NBs1YTobBgxZtMxlpbW4Lh1bO9SUU5HFvl49mCMw2cn0l+U+XOmQpYjW5mD6QxHzw5Q9xq4/tItrKyvwK7ZSJga6h4+uv8EB08/QB4M4GgZtppNfPHmF/GlzTVcnfWx2nsGjTu6CXawcJOgz38ZxcfIZ13kg6YouGmtNnROJYz6ciLWMg2tPEcjz9DQLXDtTWAADRAISQRJ5Vo/LtbJSEaVMRsly892h2xBKea2yTZivRcyiaeGjIA5ZLYwupAAAJEhof44z/yUqgOoyXsrxGyKFKeRWvNGcIgkAyGb08ECVRNKFNSgF2mnpLLFhAcdX6k9qHYGI5okwHpRbhSRW1QLmaZmOQwBgXKh3vF2RF4J8LBXyRJDwTQFmlWUMNzX+eR4giEJ858S+9Q4Je3g/o+xvHFFJsZL04RxrMjN5ao6sVJzUgAGCjvlwg3V9Qk0ndMAEVLdw9mYshE6mk0PK0sujo8zoW+xfqQ408xP0B/60A3ui4xUg9zSRct1MDuBeebhzhe+jJpXw1/+wR9i/Ogj1DwDy00XX3j1NbyytYPrTx/h1sP7MOpsxhWzoHIZL68bZLsQaJlCs/rI+tQitaGtbFMuHbk/Qc6NThyozWK08xwj20LIKGYwZeVkhCaE7UacYpAEYMKpmSSfqyWzZLXweTj1SNeQ+ovpJLmwHABmP5G1ngi4qmhCh7B4XzqsUOrUbgxGWI5tce0c03VKeciCHA4wlxW/ZsxJ/MKNEWUAxZJSujuKJFACc4xoJaXS4lvDCEyHlCKRLZUcDpk3XMSbZ3IbKuCxLuX3EjGpAUwEVjcQxCkeHo1w2Pu7CSBfJPtUOSWn9A8f/AQ3v/RrkvKsrBBptESS0J9R1l5NZpQRkwAOSeRxMECUjtXekCRCo9nA0tJmUXNyXbaG1aW61Fx+kMJrL2F5M8NSZw3t9VU5aY6ePpPdiX4UYXW9jc7GEpbW93D1lV/D82dn+O4f/n+g+WeomRHq5jq2167hpUTHzbffwQ4C6BZHgTzoDVLTCMgodTYxcUyyV2YiBk0JjtyuCTIluqeeJ+sUkiiCo6doZDmWKcgFA4OU4IqGhmnBtFJ4aQafI02cD6RjGNSuUSrgqhK3im3Jpsw6Bikb9QrFVgPCrAt53eBODQWYMFUXUrmQwFnP6YpVI3ezVUoMRmPWfgYsTmUIph3LQqQwSxHkGRw6U5ZJv5GATsi1AyQDEAFmVir8V02Oj+ktPx+zSHMpuExzqS1L9DVPBaByBBGmA2ci/MWe9qOTKR4ckhqHT6V9qpySdvL0A/zqb/0DbO5uK7l708N4MsXTR2OprwTpo9aKxX2BI/jTrnAxudGKS0w7jSWZ6qBAMHd0cKjWXqrjyfMzgdX5t1q9IVt7965cwW//7j/Fhw/uYjI8k/SxYddgL+9iaWsPmuHi8cNjDI+O4GgTLF+/Bnf1KtyjM+x0u1ibpODqjJrOSQmqJEbSStEoYxFzhEJtEqZRll81EgMgHyEfHqsWQ2cbuU0qm7iATOGTylZjZGSEoIxlpmHMBjrTPl2Dy5OW6+A4pqQqK0ljVRM9lBpVeJ6kDZpqgQ1HlpgiE81lVs3oyVos4rQWa9KMxHMbmUZkyoDN9JrOWGSLIjUpDsVTSo1tCb0timFqmbRViJTTGXkNYBOCz+Mx8jHOShtEBU/h7siEBmAbGrwivWWUZbQl9U3j8UmEVUARH7s7jnD/eIIxN8V+iu1T55S0B+/8CNdf+q9wdHiCIB3CDyIsLVno9ynRQIckzWuC8eQQtmnCtR006zW4DvdTEFXMMB70cHZ4jOWmByPlliZOptuykEZaAmmOLa+JZpKi7Tq4dWsDq1qKVWMD3XQdkVbD0fPHODr6CcIows1v/mNsXL6G/vMTNIYjdIIMNc4bcriZZyKv/9x1wYYfV6tLw07t4ChotqpfR6ckxYUn/6wm24tz04FJPq0/gRnHXIYlqnieRBkg0HVipvI/0o/4oZIel1A6n617jevm6FhMA7n/g5KIntS01Frl7Vhzs43Cmk2WhrPfSHJ2zhlDIMpF8FLqO5uAj+xOIYUvRkIpRrqqAEkkIiSYxpEQ3ons0kGL7FRePheWlaJmwkvnjCXrzpJknhNxZRqrIaRzUni5IB7wrXKFxKDSZI5j9YIE7zBVHSne6qfdPpVO+d6P30Sjs4HllQ6u7G1id3sNTw7OMBhO5QS3DCVn31lekk+9VnNxaXNJUrCpz90QwFJdR1JLcXx0iqPjCZory/A8S1K+ESU6MhPGyTFqj99HvW7hxuu3YMdtZKMN6DMbxx/8BZ4/+ImQtOt7L2EyiRH85B3UqXnKk9q2MUsprZGJYBOFg9UUWCKruRWiIXCwgvhl1aFClUFSdDgUzqqmudDaa9A8D3rUhBEFEglDjWsYcwF5QsPANDe44E0obBTDEcHOXLVIYqq38WelZC1yi6wxhZLGqCb9WzXsHAlTRtWV0kvM6GSkFOqwpLupiAkySSG9yKxQGiCYRuefyhInW1oYhIDYvVSMHiKjaiYSIlMpkZbOWLRG6JAJWyJC99PnEZO9Sl4s2EslsKSIBTqmaY43jkd4v3uxWxyfC6ekffTmj/B//r/+X3B4PMSbb38Iw67BrdcQc+mnlkrUI6IZTFno84TT0OJm5CTFWsvF/b6B8ZjyERGcmoX22hraG2s4uPexNL0HYYxHh/dwZVBHa/sGZriCJN7Dx88/wNN735XFNIFzSdLB2ckpkv4QQtbjevSGh5lpI8oNTOIYdT2HV9B3OWRIfqfajaigYp6sPPnU/ChFosIilFjA7AywHeTNJVkvzv4jy1GNqXueo0bQhz1ALjNlnSiilfTrUMSeWTMbhoNct6U+lejHx09Vu0JQaZ2yGgRvGBnPU0ceC/8hkyjKU6R5IdWRMS6bQjAg4ZxtE0bhiDOKWSSRnK9PRTaOZBFZ5aZ1ag+JyKO0dQjI0MkIwjFKyzUJjMRMlZk6F1KWBWGAx8b6sq5r+O7xBH99Mpbxss+afWqdst89w+//qz/B9vXbyKn9YgCr6yvoHvYFRAl8H/2zPvzJDOOBhTBMsdSsi4J31lnCeAYMB4ysCTTLQ31tB6mdoda0kca+GtHaWcHHnBH80QTD8SMcPPtLpJqLevsLyMwAefKRILk8mXlyGJalTtwoRKgbONMs7OSRqLrRVAs7l3qIkL/8tpRskwa+YrcohnQERCPZnal5bYALiFgocxd6HMjKA0YzIo8WUolKkWmLtCJZOSQFEBthrSYyJnSaYiKCKSeTXK5oENCEQ70yE6kGklVmqFoWnHfkpAVXxfPomYoSYBHCvqCphXg1nVYcSINj2pKOpsRPJdVWfUpGYd6fso+8HdFTXgBJKuAD8WQ0WG9Kj/O88yXynwVYe28S4Q+ORngy+/S0OD43Tkl787vfx9LmVWzvbohTcpGpV69h0D1FOB4KSXsymsiOiGDqI11bwfrKEj54/yOMZjO43AZM7dVkioOH78Nq1eR+V7ZczCIbzx+f4ekDSjVqsGIDL//qfwJ7+yW8/8M3RbuGE/xEKTkczOSrZA4ZaSwSiluOg3VKXrDXV9RNcpYWzXLhiPF85ZQ9NzvJxuJyrpr5LOtOH/n4WHxVayyJwJNEzFiTWUA+Xp2YkU4kluvf2Vg3ods2zCiCnRCBjgTllJXwjGwyVpUjj2dyceBKebUPQzmCTOGTg8rbMY0UgSnWo6KerWpCSm+UosuapQSqdEPqSo39ThneUHWnKJHTWQs+K1k7kqbKAiEF4pRvh1Eqk8vbcM7yOfJj/P+Oxnhj+OlrcXyunJLw/bOP38XyyjLiKJa6bXljG9NhF8dnp5iNib5OoeszjLU+LNeBS4n/5SY29tbgWTto2jbefv8uOmscazKgO20cHZxiNhhDMl+9Bi8K8X967Sv40Enw+PAudItTIjEs01WpJh2OtQ4XiwYpdMdAx2QllWGUZWgztIikYhEZGRVLpTzZ9qSoakRORQ+GKay0CiNoIYne3AbmyIku1SEVvBlNOLScENk0ZBDb5CiayachpY1gDp0vgSbixlw1pwAacXgimHQw1mnF3gZ1iExH1f5HYfUURHKCVELwFnlGNaSlcF3uRWc2QACHkZBpJsErkst58YmR6JyXZJrO5ThMmRn9lCOqXdjFtai8IGiU71RMHDJ4/uXhGH9w8h+vp/ppsU+1U9I+fudtrG7uYOfqbgGR+7j68lX0Tk8QTIYwHY4UZULyXtndguY6aJkca/LR3mjDsFzsBFeASMOsO8TRw2dYWt2A5miIBl04FpXaIvy/fvId2Pc/xH5m4dVv/zMMjs5kk3GaUq4tlmkHkxP8bAUkKYZJjo7JhjeBDU7RFw151l/lRrRi069ES0FjFU1sTumVdVMUyOIEyKkspknsukQfylVyYatNErnIOCYwPQI9GkJNR8LdjlwdL6kq4OWU9FApr6iXF+QKqeVkwLl4Ul4kqPsqKSRBGjb+E/miSrlgvDK8rFoY0txgyCu0evl4FNQiTEO6HxNsRueQVDj1BiieKpfgzqV6ifiqiJkxHSclD8DfdGf4V8djdAn/fo7sU++UtHvv/hiOl6OztQHNzbGyvYKvfevreO97wPHBUzmBDLuBzuYuxv1HsERYiqNgOtw8w+bKEt74/vuYTXx01rex9dIrsnx01B9hNu5CzyjhmGN8cgSns4M8HOLSnavY//gRRoep9AsZcZm2TqMInkYdWA2+pqGva7ByAy7BJ0E6NUkVVf2oHFLgjTK1LVVnCiBWOW5RWIkEQAK4DWSep9TFfYZzth4MWPQ5RmECP0z++BhUgSsEhyXdFQoao3gRAOUiwA1RushCcrOUCoeUauTPqpVSEsbZ3BfVcgUTifqAei46EpFd8mWZXZM0x9deTvXzVip15UWAzx0VdTX/y5SYbpsix4esG48n+Gh6sUaqflH2mXDK08NjnB4fYuelHTQaNmJ/DNPTYHHxjK1jOhxj1tvHw7dDXHv1KmrtGjzNgH92htVOC0udOu68/BI+/vAAs6mG6SiEf/AI0+4hhc5lrXmPYyCGhr2lBqLDZ9BWVtFsuLAaDrJpglC2QJGfmmOmpziSfJD1FMQxdwwdW7IKvqgbaepMnEuZMNKXHXQhExQUPApT6VylTqSS1LnURU4wKSKpXUVDjl2x1eHI81L9TYkPybhiGfmKuk8tumKKyWa+cmBGKaGvSdqqKWXzgr4nh8S0soiwPGRRhxfiAPue6ljVOgFh2MoFR6GvrLaVirmkwgvD6tImKbTHKQpNDaE/Oh7jh/2LOVL1i7LPhFPSnnz4AF/65hdxfHCK432u2NaFZbJ3eQu9kxyNuoOv/8avgrPxvdMe7n7wEIOnj3G8uYpbX/wVbLQbOLEddB8/xuTRj6V1YaQJgiDHmMwUDuaaGjp1EytmjsO3fyzShW69hcMhtxMLjCK9wiADhuwRimSiKXQ4JnK8zRp3L3IhKiOa0HUpy1+y6EvdSxUm52v9CtifCt8IxzJHyYUysnRIlNgZAVVvT0+om2PgjNQ2DkjJzKFivjgS4ZQ8Bp2M24vpeNSlEcK3OIpaJUDHlghWRsmiXSHrGkSSkr1H1pC8CPDwWYdSWlJp/QgHlg6dcy5TrWHg1Cd3SMr4nDRLML8g/PnJFH928vPVU/202GfGKceDMf7mD7+H9cuXMRmOhODNiZArr7yGl7/4GpJJV6YrDo6G+Ks//mv0T/oCgEx6I5yekY6mo3t0LMtmbG6VYupGUnRRe9UcHe2GgYPuU8R5A73pGLWNPcTcOdn0kEymSsBJ4wlLwncGT9NxQkEpTUeLJyxKBFMtrBE3FJSjmAk8F1ZX0VI4bKplwihHbqzOWUNS3PICWJIMl419EtzYF00x4pSIoUAfSlCyP8hBZ5k9K8QaWO/FpNZlvJ+aDKEcBlNWNVmjhpRlUFnJzslFR+pGkR5nK0YVhYzwMjVJMInHJwisavrzccjioSNSFkRaQZzwUO6I94YB/up4irPPWd34uXBK2qP3PlI0L+4L5AiS38C7b32Eve0VpLMRfvjn38ez52ei0xoG1N9h+pYjPnyG7jBGy+ZYkOqXccqepyCVBxyqpBk6TkYJ/HCIqX8fq61lJMMzZE5T1tON6SBR0dNLKVeoocvZvizHesFIYUZKErbHOVzxSPL51HQLx8okFqkR/Lka21zwtpD2Nwn8zPoySsV9H4yAnuNBTyOMIi6zUfqtlsO9H2xAqAkNOeVlql86n9IL5BwkHUeckWpvbH2I9L+6XclVJRqrWq0LWrgv/EwSgQJ/ZJlRkdqyjiXRz8gjEXAuUVcyho79CN87neDh5PNZN35unJJ2+uQJvvL11zCZcoW3jnR0ho8OH2J01pNlM2T8RGEq41kSMYQlFmONu1NtTitkGE+p36r0ZOiQkzjHZKqmE4iLHA96uLS6KWmdP+rDN0w4jbro9HDEaq7VzrYAl8zmCbp5jhZ0eLmm5hSZD5fd8VIWukRFlTjiHAQSb5Y+p1KFI2Mpp74pyQqGgyjgYlNf1h1QStKxufaNC2soY6KcReYXZY8H013Fa1W1JgFgtYGYs48cYDZldKuYdyzT1iJqEpDiynnlivwNo6YitjKtFTU7Lo5lSi0r5JSglSSqeYpBHOON7gTvDz7fdePnyiknI1+a55c2N3Hw9ADdowOJIuCUPU+imCM/GVxTcWQtLUXTNdDwTNFrnU5ZrymZkN4sRW+sTkBOPBilLKLpYH80w7WtFbhajpPhCK31NVkaw3lLloDimjmEZneka6jBxKqsdOOUQw5XuNuF40n2KtilCj6KSqMctJxtLHZ10jFtjeoDHLOKkFLcmCsDcoWSylJWRmLqCUmDnuR8pfomD1dslGJkVELFajKEi22F6kewp6xpi3lPIYRrVF1IZQxLtHMkeqoLiHB9hBqnWivCDmJbRAaqeYqpfSJv98bikJ9FatzP0j5zTkl74/tvYa1Zx1l/IvOUpQMyNW1w2y8HNawcNuvEugmPy3lYY0XcTaHGlQZRgmmklLWZInLaxOC0hulAM21MYqaiOuqugzY3coxGsGt1RKFRcEhZV2ro0Uko/KsFmGjAozzHnpVjTaPQMSNmAb+yjbGoa1t21Eu5fLJdimzXylOJjBlTQt0RpJMOUkozSnSMidhmqOlARIV3OlkxcSFUOhlg5sWB8h1EV+lcmRAA+P18VrxQCJC1cwSICinOcnsW76MGl5VzyuryQj1OaedkeDKe4q3uQCHYlX0+nXI4mkILApHBj2TESINLVpyudEMZoRzLQLtuwHN0mWiPY6KQlGoEplEmjkmI37UtGNwCTLFjLq8xWcdRadvGyWSGm8vL4mBHMdsNgFv3EDAtlPRNKahRaZ0iymcahEw9Iy2OtV1JaVFddXXwRRRRJAKyW0qlvgJvYUQlx5TNfE3VbHQPV/Y2AlMhhlOXJ0Uqeo16oXsjDy6ZMAngtigNqIAs4EuhQiczi8J/VWJWdGDlkEqESu34JNhUXjDUF6tWYRKVqwgA9IIIb3eHeDr5bE1x/LztM+mUtHGcYrVF+JGOpWEySzGO1K4JtTtGwSiU/aBiQZ+p6iRFEHPteQ6LqKVFZ6xDMz1oOle4mRI1C2gUszjCYDrFerOBFiIMJhM47XaxXk7ViDyRQ40KdDmGVC5Pc9HV8VM1wGvS4ZRozTw6MjpJariwxKhcRkSAVnRZ2ZjPYu5plUHlPqc/SFLXVLSjQEfZ4pDYJo/Nv1H0WMlkskepAB7OXirH56HQRD9VFONIWFdjWqoAVY3GmBeFAuhRxAGljM6bUZzqbm+Kj/qfH2rcz9I+s07Jk2uYZGjrOnojAg7q6s7tWTUWdHQWP8OIqaqv9hvynJYVBS6l9F1odlO2AOuGI/IZXIxzvixPnaRH/QHa9Zq0V9iG4Wyj5bpKRS5mX46kcw19RreY848aXLZY+KVWL86V2Tl+Ve46UU9RRKI5GKQclNGNaC4fg+2GsU/tcKVWZ5RaqALKFNGLu04kpVS9RXl/+Fic0iD6WpLpBaxR/UmhvDENZqQvJDfK9YJ8VEUMUPdRbRnloA+GPt7rTqRHXNnfzz6zTkk7nWay+tux2NrQhLRNAgBPo1mUYTTLQVUOWTugaajZhtrwS40Z6ulYNeiMkiZ/5sCxelzF0VYIKTdK7fcGWHIdWFmE8XAEZ6kt69WszIKZxJK6Ttnz1HPUUw0dU8c4TTFhRF7ct1kcN+u/kiWzsEhzvrhIkNEycolQslo7QN0a3kqilrDyVC3JSCeRuwCSBAAqIimjs56WivKFM85bHcXrLA9FEXKV0xY7VCSQZ8DhOMS7ZxOcBZ9uKY6LYJ9pp6SRGbpaNyRlpTp9EOXw/Qx+pDRkeMK5dFiu+zYcJKwfDdaRjiCHHJUShyz0K1TNtLC8PQNGMx+exRlCbixOkYwNWJ4nYVBLeQxs9udwsxizNEUvStHLMyzrGtqsBYu+oLhRMU4538ggkGtZuxVoKKUyGPWZClNmkshwBuG/yqgVxYuL1FVICtR8lWMnJpzDYfN+zjslAbzsuqjoSo8uFeekjqTjLqwHVLIlvDBkGAUZ3j2d4Mn4syHFcRHsM++U0ziHH6sWBEnlk6hUzIYIELOmA4d9KemoUZLREcK2SCS+sJOkBDEKdyyQF6mnkgS98RhNNuyRYjwbKzaMoSHi1mSmcjo5oopnyqjJGnOS5pimGhqUaZxvlC7CUiliw1pQafsXG4pUi0J6hoKWKn06Uut4H9a8nJ1kdCTyKdNgMpCsvidJQRytSPHPwZpyekSNkc1vLwCRisqKIKBU7AhevXkyw7unFYjzs7bPvFPSjsaU5meKp6IBazKXDsm5RBlxsqEZngwuc2OVyDpKuqq/GKjmaxGKbkUh8kRVcYI5FvmsOh0FsgjIrrdgUoDYsoSvyvGtIIsxzjP0Y2Cg6fB09gW1c/CJII9IujH1LFf7naetQiIQx1Vzl4xylPOXNXOs9mRpq7qAMLXlinEhlXNBkaCvJY1OgTki/1GgryW4o9DXYp6y2N8iOWqx5erjvo83jyeYMPev7GdunwunVO0Nzu9pQgwQEgHHl5iiWq5I8ZMoSj0bkeRXu9qKSFmOUp0vDJpboVNBAImzEOSE0iFkvDkJkSdUYmdKacLOIoTIcEowSQOOkaOpZ6A+c1Pn7sWFDdUShD9Z152vfpf0lXKwDJsUnRL5f7XCXAVckTGXiMZD5DGppTdK74ZGhQKZ2iidsqiRRb6qXC9fqNDREcnKeT6O8P3DMQ4/RWrjn0b7XDgljVHScWTVjMguakxTLa64KxyxXE+gld8XKSvvXEzDzxk3hf7o3CELAIT6NxwpFg55msgImVFrygQ+FdmpvkZJDE6QNLMcJzGwpKVo6TrqXJPOiFa2QEoUtnCa87UpBQKrF7qvdLiCU0seryiHC0dWHT+RVdnRUeI8VAAoEFw+KnmxdE6JjsXuT9FYLRySX6Mwxff2R/jgrKLG/SLsc+OUPM0mCRk4HnSRxbCl96hSVF2BOeIJ56uB2EYhwCEE7SJ1VItXM0kx6QTl1JWKbEo1j/WoniVIIyUFmUhr00RumcgzX5yUso9EMLnzOcpJKFAMH1nXN9+9sRiWz+38+coorgjvVAuna9ExmfpSE1VVsWX6zUkOtXJOEN6iscgUVtTIy9GugutKkeMfHozw3eejef+ysp+/fW6ckhbECVyXKm5esYFKfc0dc2FPV1lDltMcMmgkkhmq3ynSjKXOjkSYonXAOUPWg9K2iBGH5PSx12koFo04IYGeDGdZho3cxDTLpFXCSOmSHEBnMhcR13kzcH5o6hnYylHyGfxyKeGY0kFl8+pcac4U/KYAceT4NfhF6irOV8yC0lgP08k/7M3wg/0J+lWL4xdunyunpM2CGZbarSI/ZP2o/lWN8ZJJc75sdrExLjOFWrkZio82d+G5fKTQ1UhRK9a8acWGKkuzZWcJdW7Y6mciSGr3mD1MQ4dP0jcJOSQXyBqDc5rC3CmLXyiqG4ElpXcjquOFFCRv6OpqtwZdjZFvPrycqddF2Un1v2IhDgeUpZDMcTT18VfPBng8rFocvyz73DllFPsIIx+u2zp3MpN9yDIElRuhlQeoHRaFCJ1sdDp3xPni2gVWjjLlEGrjVSZLhbiJgNurKMZhcl9JsdSHJIJurPqMM51jURrW2R8tAM8CuZlv6BLnL45FQFjOahK95V4QIrEi56HEjNnaUFRacnCZnCs6nWyoKhxSnkfThIHzl0/7+MHh6Bf+mVT2OXdK2mTag+suwXYtWCSc20wqNaRRrLigczBHBSk6JPfriBJAwUlddMw5QitMnCKyShtBNRmFFsDpiZzP5SLNQvTDQKm8iYhxioGW4QqlKdk+kQWqhRaqDD8Xjzt/3sU0VqG58kVigPQl1XGS9cP6UqGyZSuEkRHwOBVT0Ol+eDDBXz0dIKiocRfCPpdOmVKcOB1hpXNVpjoEpYxihDOOXVI0ivsilYKM1I9FD3GOgBZWgj9q5fvC7+c9RWqo8nZkwGiixkG1OUkcufCUe0/A+i7HElFRqoZT67SQe+R+q9IRBT0tKXjzZ1JOpQaSi6a+BNeC/oZMVMlV77EAcDg7WTB+3uvN8Jf7Qxx/htXGP432uXRK2qB3hJuvfwGuV5M6MPTV4lkuRmW6KbL9lMNY7B8WNaTqTJRN9fPHVE77ooOWIFDG9Qicq8xD9ZiagchIpb7jJH8ozgl0E/YTcyybqs6zyN5RQupzbvpciUPaICr9pBpcVGzOklGsgp1DuQ+RmCyYQgSDDvwYv/e8j/c+56pxF9U+t07Jk/bg0X3ceu1LSFMNlmML6yamdo+kqyUWu6DBWtRzc4z2Ex2Lc2J5mb6q+tQ0DaSy7lwtXI107hxRs5JUCmCtt8wlqsgFiR0krBcz5KaOOlefF4tU5+yiObCkiAFlH1PYOyXntZD/IA2Pf6fUB4/sXz8b4E+PqrrxItvn1ilpzx89xMbuHlrLnQJpzWGYmigS5NzBIfo1xVKekm5W1JRl7JxHTvmhZOQoLZzSeakNJCQ4mergSJRyMAI/MaOopmOSc21CJmNdJBkIM4gjWNJXlOUA53zb8rnV3pw5VZYgD+/LdLXMoCn1waP709MJ/vXBCKNCqb2yi2ufa6ekPfrwA7z6tW8IIEORLC01ZQsyR764JkAUxBWVYM4/LafrC4HF4t9i3rHcrFVGy5KNU5LNRWZS6QDJ5mVJX4FAA0jtdou1cWT+sLYMxMEyoQiS51pmzEp5Uu3bUBMfJKErIgEft7xwvDMM8M/3h7j/OVUb/zTa594puXPk6NkTbGxvq2a8SUcxZTaRglRqRZ36EisUH0sU9MV6c+Fnaa2oaHmuCq5SW0fWjZfqG7mseOeux1AHuDVEBpg5SSL6kCl0bmemA4t4V3ExKNojIvVfgEN0yqyIjqdhgv/n0wH+tFsJHH/a7HPvlLTH9z7GxtambKmiHg9Hn6hTbFokrVNQS4kP00rnEpFiERcuc9cXIyQdcg7LFLcRKY9z3XOJcHRIkgASLZf0VXZO6mTplPsgdUFkCd1SMtMtWDqyRFWOSLU56KjsVXIa5r99MsB/92zwSzytKvuPscopSeAOfDx58ABXrt9Qi08532jbMsKYiTSlsnJK41yQuBx2LtysHKuisxajT3NQphyHEkIChbnOm/d0X6awjJCsE9kioXQIZx+bHLkqCA3c6MXbqcg9560rECjP8K+PJ/i/Pe7hIKym/z/NVjllYU8e3Mf65hZsh91BkfI+7z0QACp0WIVGN29MlNGxVOygMxZ9wwWHlIHnYjNyqVpQiBbApwMXaSlj4yRT26j4PdsZfZIZkMtoFyUKrCLism4sHfO7Ax//98c9/PBzsFD182CVU37CMW/cvjN3PGlZkIInS3SYLBLsmWtCztPVOTpb9CjnrZQCICrrzPOoWs76K2l/7vWguh1/y6hIJbqkaH9YXCGSc+5SQ5RqWDINWU/OFLsXp/hvH/fxPx5ULY7PklVOuWAnR4fodFbQarbEIVlTsuFPyUkZqZpnrYvOqKKjpJILkZUeVSyFmw9GM11dVKgTLJZrAGS5qqxfFcV1TnlYfG5Dw4Tr72QJgS7R0Wfaq+X4fz8d4P/xZCBRtbLPllVO+Ql79uQxXnnlFaGjycpz5LBtUzRVKblIeYyyRVJ+6YtiV0XULAeGxUqKnGiwltzYIlJypIzgDtk4cj9dhK3oeGyHSM2YcQlrLoPM3zmb4n/YH+KJX1HjPqtWOeUnbDqd4OT4CBvr64XigJJSLMEbCXYFx41MnIUJTHUbpcD6gmyIavCXW7QKpywU5Kgly0U9SEM1RM3160R8SSSXoWnI7OWzIMUfHU3w40FVN37WrXLKv8X29/exvrJcSN0UjjfPT5XEopC+S33WeSpbigWUobPYQTl35IVFsOK4ZBAZgsaqxTokFOgIeDth3pC8APzB8RjfraQ4Pjem5fOu+L/nhi8oRn32bWtzHZd3d5RjynLWTPirsiOEosfCKaUiVyHFWLZLSlvgqKoxzaJNUvQYRb2u+BuBXdaLJBScL/EBHp5N8e6pj7DaUvWZsb+Lu1WR8t9ih0cnWF/pwHNtcShu0pIIWUKnZU1ZOuT8TZf/zh/nkyJUCgAq1wMoxywZOmTnUEHgcBTh7vEMw6rf+Lm0KlL+O2y53cT1KztzcWKpMYVRoISOF9PW8gq46JRl7SgjYIVTLpLXZWHPnDaXIwhTPDqd4XBY8VQ/q1ZFyv9I6w/H6PeHWGrV5kJZUhfKdEYxZ1kMjijVkIX9H+ojKCJkITGyOEkif1ObuTgD+fjEx9NuBeJUVqWv/147ODnDylJtvgpuLqglq5GVULGS81e3n5MGiqjIXmVJXld0O6UeUE6YHPRCPD71pRdaWWVyDlVAz7/f9jaXsbHSkMimgptKZ4nMKlHmwiELUeY5ErtAHHhhQJoCx7MYT04CDGcVT/XzZHkF9PxsbP9kgLVlD6alcLFSdnIu9V+uMyglQv5WZQLlvEGc4tlpgJOqbqzs32JVpPw72uZKA1e2lgux5VTYPaWA+XwJTwH8KIbPuWOW3Ndn3UC+Kvv8Wl5Fyp+dHZ1NsNx04TnkwyouLE2xVheHnhfFsxQCdDKKxRnDaktVZX8HqyLlf4C1ajZu7C4VrY1Fsrli+ZSIapnCjv0Yz89CDKZV3ViZsipS/oxtNIvQH/tYaXLLs9rCxclHIRUsRMs4yfDszMfxoOo3VvYfbhWj5z/QDs9mWFtyi6ueLL48Z/TkwMFZIA5ZTVRV9ve1Kn39e9juWg1bK17B8FF8gMEkFmechUo5p7LK/jar0tefk+13Z+g0LbiWDj9M8LwboD+p5hsr+9lYFSn/nrbStGGaGo771cq4yn62kbJyysoqu2BOWYp7V1ZZZRfEKqesrLILZpVTVlbZBbPKKSur7IJZ5ZSVVXbBrHLKyiq7YFY5ZWWVXTCrnLKyyi6YVU5ZWWUXzCqnrKyyC2aVU1ZW2QWzyikrq+yCWeWUlVV2waxyysoqu2BWOWVllV0wq5yyssoumFVOWVllF8wqp6yssgtmlVNWVtkFs8opK6vsglnllJVVdsGscsrKKrtgVjllZZVdMKucsrLKLphVTllZZRfMKqesrLILZpVTVlbZBbPKKSur7IJZ5ZSVVXbBrHLKyiq7YFY5ZWWVXTCrnLKyyi6YVU5ZWWUXzCqnrKyyC2aVU1ZW2QWzyikrq+yCWeWUlVV2waxyysoqu2BWOWVllV0wq5yyssoumFVOWVllF8wqp6yssgtmlVNWVtkFs8opK6vsglnllJVVdsGscsrKKrtgVjllZZVdMKucsrLKLphVTllZZRfMKqesrLILZpVTVlbZBbPKKSur7IJZ5ZSVVXbBrHLKyiq7YFY5ZWWVXTCrnLKyyi6YVU5ZWWUXzCqnrKyyC2aVU1ZW2QWzyikrq+yCWeWUlVV2waxyysoqu2BWOWVllV0wq5yyssoumFVOWVllF8wqp6yssgtmlVNWVtkFs8opK6vsglnllJVVdsGscsrKKrtgVjllZZVdMKucsrLKLphVTllZZRfMKqesrLILZpVTVlbZBbPKKSur7IJZ5ZSVVXbBrHLKyiq7YFY5ZWWVXTCrnLKyyi6YVU5ZWWUXzCqnrKyyC2aVU1ZW2QWzyikrq+yCWeWUlVV2waxyysoqu2Bm/l1vmOf5z/dIKqusMrEqUlZW2QWzyikrq+yCWeWUlVV2waxyysoqu2BWOWVllV0wq5yyssoumFVOWVllF8wqp6yssgtmlVNWVhkulv3/AUlunHgaYxDcAAAAAElFTkSuQmCC", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "rad30 = np.radians(30)\n", "\n", "M = np.array([\n", " [np.cos(rad30), np.sin(rad30)],\n", " [-np.sin(rad30), np.cos(rad30)]\n", "], dtype=np.float32)\n", "\n", "warp_ferris(M, dsize=(int(W), int(H*1.5)))" ] }, { "cell_type": "markdown", "id": "3f94f9bc-01b9-42db-9457-525b01d324f6", "metadata": {}, "source": [ "6. Translate the image up and right by (say) 40 pixels:\n", "![](../data/L06/tx5.png)" ] }, { "cell_type": "code", "execution_count": null, "id": "47a1b976-a7b6-4e73-94fb-f54fa2111020", "metadata": {}, "outputs": [], "source": [ "\n", "\n", "\n", "\n", "\n", "\n" ] }, { "cell_type": "markdown", "id": "caa65a53-ed5c-4a92-a5aa-c55edc651385", "metadata": {}, "source": [ "Scott is the worst. This one's impossible!\n", "\n", "Proof: no matrix can move (0, 0) to anywhere but (0, 0).\n", "\n", "Hack: add a column! This is the same hack as the bias trick from ML." ] }, { "cell_type": "markdown", "id": "3110a5fc-0c2f-47f5-99bd-5dc896b96129", "metadata": {}, "source": [ "Whiteboard: Affine transformations\n", "\n", "\n", "Just like 2x2 linear transformations can be seen as a change of basis, affine can be seen as a **change of frame**, where the origin may also \n", "move. This will come back to haunt us later!" ] }, { "cell_type": "markdown", "id": "298a9690-9d17-422f-af51-5962ca8f7bb1", "metadata": {}, "source": [ "### Back to the Features!\n", "\n", "For our feature descriptors, we agreed that a patch of pixels is more unique than a single pixel value. Let's start there, and add invariances to the following:\n", "\n", "* Rotation\n", "* (some) intensity shifts and scales ($I' = aI + b$, sort of)\n", "* Scale" ] }, { "cell_type": "markdown", "id": "4936bb27-fe38-47d7-9e37-cb698ae16161", "metadata": {}, "source": [ "#### The MOPS Feature descriptor\n", "Multi-scale oriented patches\n", "\n", "* Get a 40x40 patch centered at the feature point\n", "* Scale it down to 5x5\n", "* Rotate it so the gradient direction points right\n", "* Normalize the values by subtracting the mean and dividing by the standard deviation\n", "\n", " \n", "Invariances?\n", "\n", "* Rotation: handled by rotating the gradient direction to angle 0\n", "* Intensity: intensity normalization handles this (ish)\n", "* Scale: run it on a Gaussian pyramid\n", "\n", "Let's work through how to extract the patch!\n", "\n", "(**whiteboard**: patch extraction transformation)" ] }, { "cell_type": "code", "execution_count": 53, "id": "5418a817-5bf1-4bcc-94df-95362c87530c", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[ 1, 1],\n", " [ 1, 106],\n", " [ 18, 106],\n", " [ 19, 7],\n", " [ 21, 2],\n", " [ 29, 22],\n", " [ 38, 106],\n", " [ 39, 10],\n", " [ 43, 1],\n", " [ 47, 105],\n", " [ 50, 7],\n", " [ 52, 2],\n", " [ 59, 32],\n", " [ 59, 84],\n", " [ 59, 106],\n", " [ 67, 104],\n", " [ 68, 86],\n", " [ 70, 29],\n", " [ 73, 46],\n", " [ 73, 72],\n", " [ 74, 40],\n", " [ 74, 56],\n", " [ 74, 61],\n", " [ 74, 78],\n", " [ 79, 40],\n", " [ 79, 56],\n", " [ 79, 61],\n", " [ 79, 73],\n", " [ 79, 78],\n", " [113, 1],\n", " [113, 31],\n", " [113, 37],\n", " [113, 43],\n", " [113, 59],\n", " [113, 75],\n", " [113, 81],\n", " [113, 106]])" ] }, "execution_count": 53, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import features\n", "\n", "h = imageio.imread(\"../data/harris_crop.jpg\")\n", "h = skim.color.rgb2gray(h.astype(np.float32) / 255)\n", "\n", "corner_mask = features.harris_corners(h, 0.1)\n", "plt.imshow(corner_mask)\n", "features.get_harris_points(corner_mask).T\n" ] }, { "cell_type": "code", "execution_count": 56, "id": "f3930f76-f77e-4e60-a14c-eee8e2dbb7c7", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 56, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "y, x = [59, 32]\n", "util.imshow_gray(h)\n", "plt.plot(x, y, 'ro', markersize=2) # 'ro' = red circle" ] }, { "cell_type": "code", "execution_count": 57, "id": "310ba151-f136-48a3-9e1e-2794ee36ed77", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 57, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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