{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Quickstart Tutorial" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "`multiswarm` is an MPI-parallelized implementation of Particle Swarm Optimization (PSO). PSO is a method of loss minimization which starts highly explorative, and slowly reduces search space as the particles slowly decelerate and gravitate towards their personal best, and eventually the global minimum." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import jax.numpy as jnp\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "from diffopt import multiswarm" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Example loss function:\n", "\n", "The Ackley function: N-dimensional function with **many** local minima (roughly $10^N$ local minima for N dimensions, each with a range of $-5 < x_i < 5$). Therefore, this function is essentially impossible minimize with methods like gradient descent, unless you begin with an extremely good initial guess." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "An NVIDIA GPU may be present on this machine, but a CUDA-enabled jaxlib is not installed. Falling back to cpu.\n" ] }, { "data": { "image/png": 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v5M///M859dRTn2Yun146NsCABQLM0QoILOcDaziXnsWHvq/5cpWv3LHAu850WN+mI7+cVw8OM/DzQnHV2Q6PHfK4a+9SBFTSg73pwMoY9Fr5/OrxMpcd54BKrlhIAAIvthhEh6cbgEAiolrRYEpNC+xmM8sGt0N4LHmSv318E6d1zvK+jXvYVpijQJU1zhKv6B/h6o17+Pq+9Twy09agAMyMEpoDlIiPZawDPx3t5+K+SdplrWH222oGjF/nzYMjfHP/YPy+TfzJWc+368gokYdmO1iTr9LvllfEhw1SzNEuKmwpLXH3TGemcsvio0Exp9r1W/vW8vp1Y+RTs+9WIKDmKXK6xmX9h7hmZG0CYMTPSFp2lrNYmL6YsFhpzZPzJb64Z4grN+7jtQMjDLiLFHSNLYU53r1+D+d1T/O3T25hvioaxkMWwMxyhzXr7wYQmDpLxAWFY8t8N9YBr26Bcy9eHWPq4xU7JL94tJox/pXFz8plwwMHqty9r8rvn+tQkipTLnl1n4Gi5oozHb5x9xKzi9VQJjXGWmU935xrbL8M60AKECSOemApeLZIOBLhOEdxBCpx06ZNdHd3R8fHP/7xI+Lnb/7mb3Bdlz/5kz95Ol/zGaFjImZAebUomG4lrgFzXZpsf1fW+eQRnJtarPP5W+Z51ws6GVvQ3LBbsRT2bVfCuUOC8zY4/PChMnsmY9eFDQSa8WPOGx+XEQ6Gn3Ld4eFRj3OGJPeMBj5C4yM3vkKhBTIVx6B0UmEvBwQaedJR1Lfxp0Jj7AAeGF8qQBXJl3evZ7BU48L+OS7qnWTBc3hwrpMf7F+DCoWszc9y7gGbF/M94Alsv7MChNR4vuSr+4Z4z4Zh/ml4O7hOFD+Q9jvbAXFXDO3nR6NrWag7CYXeKq6hGZ8Q+56/uX+QKzcf4B/3bsdXyRgGXybbLSte4G0bDvCtkfW0sgpk8aW1RoT++aj+dGCKryiH7xxYxxUbhvn8vq3UPMi7MuLBXsZnDqUU79k4zDf2D1KtJ2MFMp+vGoGU3Y5KxpH8SmmkDMzdjivxUYws5vjfT2zh1O4lLuyZotP1GK/m+enoGg4sFSIXle0eiIIVl7EKpPu8/TvBI8FsyUfhhPMmH9VyvNkWL6U1p6+FXZOK+UpsFUg8O2NWHvMV+uhTVgPfq3H/fphcVFx1don7RhR3jijq4WUlF160XbKpW/DF2xeZCYFAlou1WaxVswlVXE+xLFVeDenmw/qpJVZGBe/47IEBeZQxAzq8d9++fXR1dUXnC4XCYZd1991388lPfpJ77rnnmEiad0yAAe3XrNlG81l2ugPHylVG98aK1w//szq19BGWu8DQQgU+f8scp64v8PbT8hRcgUaA1jxw0OMfbi7j+ZZvL0TgMR+t1xJHvDjxbwUI5XPjUxX+6EUdPDDq4+sgmDASml4YVBguIQvuTc6UswIGWwGBRL1nKDgnDEwToUA3wYSB4A3E52g5zzX71zTw1Ljmu7kSSSsTIbMHk1EkgkDxKaHZv1Tgjulu3rRuhB+MbUgEodlkFN0lPYcYq+Z5aK4DrVTT2XfTegoVb8QPIMJ8FIcqeXYutnFu1zT3LfRHzzWf6TwD9nFa+wxj1Tz7lwpPK19aaZ6Yb2NHR5mX9x/i2sl1mYDJ5umV/Qd5eL6D3QslIGkVAJoCulbtaIM6RdCOdtCj78FD0208PNueKMMO2EtbqJazCqykzytJBIBtQCCUaDneYndCYLoXWnPxZodP37KUoWhVo2sgQz60AgT7Jn3+/sY6528p8t6z88GCQCGo+5o7huv8/BErwHoZudmKj+CcSsjRNCkvBAEEoEABKD9YPukffVbAZ5u6uroSYOBI6KabbuLQoUNs3rw5Ouf7Pn/2Z3/GJz7xCfbs2XOUXD69dEyAAd+rBzkE/GyTViOqbR6Za+5vBgoaTHTh6gLHzfPwwSoPH6wmVyRYA1ylBpaN+puZ3FqhWK18fOlwy+46F212uWlY4xOstdZKgwSlCNcMJ83VEM8ig7LSZTdeD/Ga+WYKWCsdKRQRrm5QCoTQoY1ABZHNQoCtCFIzWts90MwqkF0nzfmyLRc3TfTwni2jnN89yR2z/Q3XG4V3Qtss29sW+afdm+K60o0zy1ZWgSzezCzckYKfjK7hPxy/h4cWuvGU26B4sywWUvtcvuYQ/7+d25ZVYEfClwR+PtbP+7cc4PSOGR5c6Gm4z/B0Zsc03W6d748MJNowLm/l/Nn9plk7GgVs+jep8tNuhbRVwP60y01Tut8n+nQGIGg13pL9O/j/gg2Cu/Z71LzkCoIkX63lg6EsQGCG9G17Ktw+nJx9224FleEeMFYB+9osy2pyUhNPrrJkKISgQIXBeI6Dr3z0sxgzcNSrCY7m3hRdeeWVXH755Ylzr3zlK7nyyiu5+uqrn7bnPF10TIAB7fsgWvu4mgGBqIwQEDRTwFr5CMdBqcA6ED8juNb3YvNX+r7GpTlqWSDQ9D1tCgHKPQc8PnpJjpv3KkBgfJrRDMrXDQlHgucmBXeWP36lglyrIDFLXH64RMwJ+NFSgyIhOJP3Z1kBsq85UuVnWy4cKfjGvkE+un2YmXqOJ5aSKN9Xmg3FMi9fc4hP7toavs/hz76XI600vpT8bGyAV60Z44eHhhpm34Yf8+krzSvWHOLa8X6qfqiQUgrn6eENvjg8xJ8eN8xsPcdwtT3xv680O9oWuLB3kk8+tQXbVWHe7Wgpyzqwkn6UtnrZ/62Er6axFymQErxzBkCx70kBXaU1AjhrveQfflcJy1mZDGhGWe5EiOspSzmn3ZXZyr45CFmJLIVGC2ea56wg6WeKnm0wsLCwwFNPPRX93r17N/fddx99fX1s3ryZ/v7kRCSXyzE4OMiJJ5545Dw+Q3RMBBDagSrmdyu3wOGUm57Jm/PR/02C++zfSZ6S5r/lhECr/5U1qB846HPKgIiETdYMLTpUahZ+mKbSBj4yhH80A9NJ4ZxptrUFuCXEm/HSzCWwEkq6SeBzezfzqrWH2FRIJgDqz1V55/r9fHrPZqq+WLZOWvn8RCq7XhZP9892sKVtiaL0E4o//WmsAie2L3DXbHfinZ4J8rXkM3s389ahEdbkyok62lAs87q1o3x6z2Z8YneD/flM0nL9CGJAuZK4juWeZVOrGJbEWGvo88E1x/fB4+M+Sj89QMB8ZrkWVEoupX+ngYAts46cp2RipKQcbu2G+LdEd911F2effTZnn302AP/u3/07zj77bP7bf/tv/8qcHT4dG5YB5SOk2wAG7P+PrEwn8zsymWDD+PLN/2nIsVK/WxatFMXeu7/OG08v8tAhPzRlQmLGkqIjEdbSUma2YpNNFGErk2/gy0/GGxyOUjPlpnk5XKBQ8QX/uGcLf7xtD/9yYAMHa210uXXet3GYfx7ezILvwrOShFRw23QPZ3XNcudcf4N7wKbTOue4Z7abIC1s4/8ytH5EJQuRqQRXGrS0UJd8Zs9mPrJ1mM8Pb2bWLzCQK/N76/fz97u3UFEOcHjtF/GQ8q0v134mBgRFnDgpox8lVjIcAQBI16Fchq/IfSFbA0fDy2nrJNc99cyZx9PBxkI6ieBEe3Jific+n+bZeoNLQyUTuj1bJKRMuIQPmw7z3ksvvfSwAOhzLU7ApmPGMpBl1jqaTnY4piTbOtCKh8O1TBwOzVU1HYeZcnslwluafOzLCEOTu/1IaKXAJF2+sAK17P+bgZNmtOQ7fHrPVt654QAntM3x/k17+Mr+jRyqtU4Akq4TIUTmkeCtRR09tdjO5tJSJgCA2EKwubTEzqW2+Llh+wiRXR/NeMu6rhnNeDm+uG8T7988zAltc1y1cT+f3buFBd/NBHLN3jO9B4HNw9FYfODorBHxnggWyF1h30/s39Ek9sBYBQz1lmBi8ZkBmc1yk2R9z/r9tPHR1I3QaMF9tujZTkf8b4mOCTDwr0WtOvFKO3mrzpX+TzhOAtWm4xMOVxY2E77LCeUswXkk5ayEspTG03mdoQXf5cv7NvEfduzkpsl+RqtFnFam/5TSbfWuaSBg72Bo7pVSYDa8TK9qMBSfFyxXs/Iw26iVwjP/jdcK/Gp8gP+wYydfP7CBWS8X/Z/1nOR7NoK1Vm3UDNgtp5iXoyxryOGAx6y+L45ESq5wrNo7AR4JZZnn0+cPl2KeWr941v//ll0C/9bpmAYDhzOATMe171kODR6OIrefkfWcVvc3gIIMnoJUmUeugBt3jWsU8PY5W1inhaFRAPZ9Dc9LzcDS1xkFkubP5sM+zDVS2DySmDE3zOStcyXpc9Wm/fzDnm28qH+KbW2Lme9uykvf34yvLCDQjE7uWGDnUhCkZxR/1pLHPeV2TulcyCzDtg4kwMcKeWvmOnCEYFNpiVcMjPP3e7bx7g0jtDteAjBl1XEDfxmAIIunxmtav2P6u00yw2ISA7FG3pqBu8MBfFn/p98h/q+JfHEax3h22UnAYN/XTI4sJxvTz3666F97Zh24CY7GMnBMq8SjomPuzVsp1mb+ovS5lSj5xMAKZ+wNg9JS2unrG841MUXZAzyb9+D6jjyEeUvC80nh3FIBhMVmzdiyhHTWrM0WsIlz9jUiW8g28JOxTbIpyxyJe61zaSDQUF+ikc9O1+cPt+3hh6PruXeuh3/au403Do5xRtc8jmhUcFmAoJk5WabaIM2Dub8oNef1zvDQQk8CCBiycyE8stDF6Z1ztDuqoZx0Pbcyc6d5M+/UaLEQnNi+wDuGDvLp4W3cN9fDtw8O8Ydb99AZAoIEKLLAV9o6YNdDVlumzzcARJH8nfVOWc80ZWX2Cbl832/W/xOAdZmxZu6BwK3X156cHMgmSqeVnGgOELJl2uFMPFpNQp5Omfps0rO9N8G/JTomwEB6YGR3WruTy8Rhl5NVZnQ4zZV9ugwpMxS6NcjtspoN0GZI3xYchs7blOOBUdWggIN7smf4ywGClrPJjH3e0+Zvu+z0DC6r3CwzunlG+j3SwCBptaBBMTbyFJzrdn3+cOtefji2geFqR7CTIS6f3bedi3qneHH/VKTs0gJeZDzbBgYNykE0dw+8e+MBrp1YhxZOQvFnHUJKfjq+nis37ccRjcrbfu9mfGXxlm4bAwQu6Jnm8oEJPjO8nYrO4UjBwVo73xndxEe27qHLrTfUa0P8QsJdkKozqy0b+1/cnlkWmWaWDpG+PgOUJvtE0rLU6oivI5Mfm9I8mXP3j2nO27i8Ql9OTtj/RSlzLSunfZ9Mya2EPMq4LqsMc87+jHhNydQsuZz+bPVezwgdVSpiB54hi8mxQMcUGDDfV3Ku1f2tBp1Ml2lZBcz/5hpp/W4FCOznpkFALAySz7CvLeQcThuUPDwez1bSCrpZUFsaENhCMYtsQZi2PsTvEgvNLFN9M57sWbYNCLKUSJYSsBUHtJqhBp/9OY8/3LqH741u4ECtPaFwtXD46sFtrC9W+b2hEVzRCGKkbKzPzMO6JkvZvm7dIabrBR5b6lkWCJhjV6WL4XI7b1k/2gBWZIq3lsrNAijpMlwBb1k/yvEdS3x+/zZ84SZ4GKu38c2Dm/nI1r2szdczQUlCCaYAXqv2NP9HZYhk2UIKpCMb+pB0ZPKaqKyMdssABHYfb9b37WsT/atFv7Z5kULw5BQc3y8p5ZOKU6ZlgJQpOZBtGbDlhH1dUH+NMslcE8mZLFnpZM+OG65rIlObfTYrc5We23RMLC08nA7VLKnQsp226WBsVNLmOjtYJlwNdQTv1ji4bZ6FdHjNyTmu363QQiCbzNSD60VYB0FSIKWCLIUG8SnMcsCQZ9UoEJuZXRuUrWgUvI4rW/ATJGsRTrAMLqqvsNKMAUe1iLyyQYDNXwJYuBIpBesLNd63eR/fGNnMpFdq8M37YR39aHwjL+ic4I+37eGLw5uY8RyQ8bKzqO5aNG6DmyACAvCmwVFyUvOTiQ0NCh/I4Ck4V/MUN86s4xX9B3nH0AjfGVmPJ0Wijx0Nb52uz9Wb9vPIYhc/nxwg52bzM63a+NrBrbx/yx6+fmAje5cKEQ8OwT4Cib6vrLa0+lozvqDJTH6ZfhT36+DpimAPDWX6duo6K49eWFZ2YGGDq8PqX1n1mR5rJk04SnDtLsUbTnH51n3JBrL5CeSVRCvV0o+fjnnKnLhYMskx3908ygvSAQtl3RvykF6ZYMqylwba57OubTbZiu55FsHA0YKP5zNwOTbAgGXGabU+thkQiMppAQSyZuQyl4u+O26+KRpOD8DDAQXpstI8nDLoUnQFj0/phAKWjmwwbcdlBmuhQ/GBEjpSwLaiywp5tsvKEs7SlREfjhsISceVDWAhYUI2ZUTJkIiFueEnBQoy6yrl920GBLa3lXnnhoN8ZWQb86pA3k0q3/RmPPcuDnCw1sYfbtvLTw+t5aG5TpCEmx8FdenI5uvLhWzkqyQ1V23az4FqG7+cWIcjBXlXZu6T4EqBZ+Ud8JUm70p8pfnN9BAXdB7iQ1uG+dK+jSwiU23Y2rzXCFAEx7cv8Ob1o/xgdAP7ax2ZAMXOgzDrF/nige28d8Nufjg6yKPzbQlAoESweZZZi/90tGW6Ts13uy0MEInUqwt4NAUEFmscSd9vxZP9rOB/za4ZOG0tnLXB5b4DyWcd7uShGQhYTiZJiACBzOVR9VosawCdAiDLydBmPGV+N2XrVTBwLNAxAQYcN4dw80Gq4FDhZoGC9Gw963/zmQUEZKjwpZuPzhsQ0GhGkw2JPxIDUCaTgBjKGmxZA1y6eYa6HS7d5vDF+1VgwnSTQMAo5uA+YT0jSBOsQgFtBJU9K4dsYSRTgq7BB94ECDih+dZWOjb5WkdKLAIFGSBFkK10swR1ln/+3J55Xto/wef2b8eX+QgIpBUdkFB4434Hn953HG9ce4Bzumb5zsFByr6Lr3VUT0bwt+LLEYJtpSXePjTCLyYG2VXtSfCQdyVuyirgSIFj8eSp5O6Ft8+vZaxW4mPbd3PN6HoeX2gPOpmpsyZAxVa0AO2O4i3rRyk6is/t30EdN8FbszrylaaqCnxhZAdXDO6i2+3jzplu6mHNNCjdZdoyzVuWhatpP5IhX56KgEiclLc1IIAsUBBTgxUlK5ZENIJvLYJdPE2/jvmDnz6ped9ZDlNLmuHp1POa8JE1G8+aLJjztkwK7leRTFJeLQEIjGyJrAUtlN8RTa6cxsmNPizYs0r/WnRMgAHhBAo5Mn1JByWTqTZXVE668zaxCAjHQbq5CAgYkDDU7XD+JofBDoFJDndoUXPfiM/uaYnZ9tgcWaAgPbiyg34c1nY6vPU0l68+oFA6AALGDJ9UwKacWEAZs7FQokFQ2aAga7ZrC0JT7kqAgJmVd7g+F/fNcHLHAq4wWxcJnlps546ZXsarOfxwl8NMUAANM1/7/ZoJainhtesm2FQq88WDO9DSSczE3dRs3Cg7z1K6Pjm+P76FbcU5PrptL/fOdvPbiT48IQMwE/KWRY4QdLt13jg4RsFRfGHkuCgYz+ajYH2HRrO8rzSOUcDhdse+0uyrd/G5/UXeuPYAF/dN8aOxQSaquVi7teDLEYoX909zfs8Mv5wc5Klyd8CXTAKBrDqygYmvcnxp5DjeunaYwUKFH4+txZci2D2TbMDZYMXIAJsN/UwK+vN1Luqd4fiORZxwFu9rwWMLHdw208c0MupDAa0AEJgfYb3bfT8x28+wBMSBh8l3wLx3ONYS2x17gdPrGw8q3numy3cfhINzyfbJAidZCrgxLik4tvQ6nL3BYV2HwOCmQwuauw4o9s0YcOCDV4Nwm2FVj5/huHl878h2FWyYIKXkqblGpTcheQbJjpk4sgKev5YBoY80mfezQHNzc3R3d9P/mv+JzBUb8l3bW3PC8omAEoMp1XEjq0AuHwEBc66vI8cbT3Gp+nDrfs3BhVgYrGvXnDUo2NQluHmPz/0jXmba5GZ8ZQ3wDd0ObznN5RsPKRZqjUAgUL7ZUd2Gmu0MmM7x3oyyhKH9TMeVCQtFyYXXrBvn+PZFbp9bw8ML3SgRYE2hfY4rzXNe1ySg+enYOvaVi9Stvd8NP626Y1pxQOCjLUnNezbtZ6Je4rrpQfKuk5iFG2WcJjsPv2cAQfhbKcU5nZOc3z3J7qU27prpYc9SEVLpgByhOKlziQt6pmhzFL+eHGwwvaf5iA+Z4icQmjYf1fC7fW59fpFX9B+k5ktun+nlkfl2PJ22yWs2laqc1zPDjvZF7pjp5c65NQgpG/goWPXTbJtnw0vAh+KFnWNsKS3wxeGNLPkysY+AvWvmStvSgIANxSqvX3eInKO5fbafneUudLjcyxWKE0ozXNQ9wd5yiR8fXEtZBWDE9+JtjeNtsp+efm+DgKzxlh5rvq9QnsL3VbTNclFqrjxD8qNHPPZOZ2+61rSuMmTE6etdXrTV4eCC5p5RzcH5uE7XtWsu2iTpyMEPH6kzsaCCrYzD7YyVV0PV69F+L1r5+Ob70yBL05YLVa8w+bP/zOzs7FFvC9yMjK5Y+8b/F5krHXE5ql7m0A//wzPK63OVjgkwMBA2sOmodiduBgqyKG3GWg4ISDfPCzblOH+T5MdPaMbLNFW8OQEv3AQ7egW/fMLjqYnldwjL8vedvt7lkq0O33xIUfZiIBDNvkOlbMzyjhtGBljm1JVsF9xqh7dWwjACAI4M+HIl29rKvGvDQX43O8CDi304slH5GoXS41R4Rd8ISsM1o4McqibT3TYT2M0C4TYWq1y56QDXTgYmeaN8C26j0rOVr1G8aUVbtb4Hh2JTYYEzO6YZKlbQGjwtEIAjNBrBzqV27p3vY8YvAjS1BuSjz3h5YVYdmefWIuWbxZem26lwduc0x7UtINH4WqABV2iEgNFqkQfme9lZbo/axOZjpQDFriMDCGqeYmthjlf1j/AvI0PsXSpR900e/NaKN8sd0JvzePP6MUqO4peTQ0z5jUGfNk8nFKe5tHeM7x1cz2PzpUjp2grY9xXpLbJt3tKU5Q4QkmispeMIDNnjTfkK39MJQKBVAFJyQvPu0yR3HVDccyC5AVrAW7br03wK6bCtz+FVJ7rsmdHcNKypq3g1hU1aafoK8IYTBfcfVNy6p74sIFipLG1mCciKxYJAwY4/wwp2FQwcPR0TYGDw7Z8KwIC1+Yb2/aYdGTKiZDNAgH2kgYDj5nnTaXmQgl/u0mgRz85tSiveooTLtkF3AX7+uM/BuWxAkPYHFnKS15/sIgX86IlAyaSBgONIHDdWxFk+zeSufdqaJelw5mT9n9rJMOH/TiynIwE+IguFK7l8YIrTuub53qGt1GUhYXK2yUspsgFngdeuOcDOxRI/PzRAOZxd2u+QJtvP7Ap45doJTuxY4DuHtrCoCuRDAGADAVvxZrkJzEy3Zs3A07yaw9wn0WhAY/n8ZfJ72hoQ8OZkugpsntJWiprntwQENl8i5EhZfNk8rQScZPFk11HNUwlrRV5Xefu6vexeLPHzsbXUNIfVjkWpeeXacU7oWOSXk0Psr3U2AJY0mfrJUecta/awc7GNn4/1U/d1gwLOAsLNKN3nGwJ1mwTIGoBhP9f3FV69ERAIDa86DgoOXPOwR6We3EjIfE/Lh7WdDq8+0aHswa926miikF7tEJVh5JKnuHyboORovveQhxcCAN8AgxaAICrLkqXLydFAluZSloEyo9/5k2cFDKx78/85ajAw9oM/WwUDzzUyDbzx3Z9FuAWApElLKVQ92ZFNZ86iLP+8CRa0gUA+n+eKc/I8MQX3jTf66m2yTaNG8SpP01PUvHy7xBGaG3b57J3RZG3s4TqSczdIzt/kcP1uxeNT4DjxUr0sIODmnIiXnCMpSp91xSAxzHgtz5IX+LiTM6QkjwHvy1kGkqZRw4+QgpwruGrTCGWd5/rZDeRcJ6HkbMWSVl5VS9Gd0jbNi3oORf75uo7981m+ZkfAqV2LvGbtGPfM9XH73JqEW8AAAaN8baUMjcFxSTN8cjZulI79DlmUpXQLKRBgeEtYDax17UZJ1fyYH9ssn+YrCxAcCV82cLGvawggjCwCfgIUGP7Oap/ggu5Jfjk+wP2znfgWS9EyTWvsFKTmRWEcw03TAzxcDixKpm6yYitsnuLn+7yo6yBr3DJf2reBikdCAT8dfd4e+1IK2hzFumIdgWaylmfBc6LxZtwUBhAoL7ZWqMhqAdt74fJtgntHFLfv86l72X71Tb1BELGQgl/vUkyWQ3CeEbhrkw1QfE9xej+cvha+ek+daq0REJhgQ9tSsVI5aiyrRo6mgYKqLbH/Gx98VsDA4Fs/cdRgYPR7f/q8BAPHRAChky8i3MAEayJiDSAAEvt1a+Ujmvi7bF9WugPbQOB9Lyhw10HN4zOBEHBzjjXwkmUa4eL7QerY4FMzW1N855EAFFy00eF1JwnGFjQH5zXluqajINjYLegpCh4YU3zuHoVG4Dg0BQJuzomsAsWc5IV901zQO0NNO0zUArC0Jl+lIH3un+vmhvFeykoivMCvKmSwHayZMSGbr1HPStxi+GnPaT60ZZj7Fvp4uLyGUt7JnI0bMmbvKEBOCqqewpGCxyv9PDrSy+ltk/zpcbvZVy5x10wPuxZLKCeu7C63zjk9c5zbPcu+SokvjRxHjRx5tzkIsM/ZihcC5evrYAlfLeSl5sWKp+YpHKWjZX+tlK65xw7Ci54rZSN/UrO1cD8bcw/QKUcBzYJax/76Geyrn0nVT87Us/gy9bdSMNDKShGdd2RmHZk2iw8/UXbNE9y3OMDDi71c2jvKy9eMc/dsD/fPdTNVc3HCHZoEmm3tFc7tnmFr2xJ3zvbzT/tPiOIYbOAWuy9kZl+y+bllYQPHFyb54217+cyezcyFYXn2SgMRBqkeTp9Px8Rc0j/NOd2z1LVkol5Ea1iTr1GUHnfP9nDjeC8VKVBeqJxrEAc2xqSUZte05rPTinMH4QPn55ivaIZnNQtVTcGF9Z2SwU7B6ILm13s0U6GLcrlAYkNGLhmrwcPTirKvuPoFOb54N1QJrRFWUKF08wk5GgVsW5QVvyBzeYSUgWvVBgcyzNOyuprgmKBjAgxc/YIcbW0FDi1ofrfH4eBcuH93CAwCROug6vFymZZxAxmrBqSbx83luercPHeMaJ6cFdEM3ATs2b5DSO6tLrwACIhQ2Zr/Z2vw86dAacWaomZth6DgCqYq8NAhxVzd9lEmEX8WEHDzDtvaq7x74wgPLfbx1UMnRCluI6WgfE5rn+L/2bGbmyf7uHGyO6wnFQrIeLYmRDLYK2v9ty0Uu/OKP9w6zK+n1jNc746AQCnvREq4mZvAzGyNMoln3YIHltZw70IfQ/klzu6Z4XXrxhDWWvBF3+XRxW4+v397lCnPnkUaBVLKu0nl60gG87s5Ln8Lfc5waEZ3OOTt4KnaJcx46xoUedoaYKL7PWtmasgoKntmbYOiJC9wWttvOSH/Ww7657DXv4wlfyMAJUZYn7ubM4o/ZGftYh4qX44jnaZ8mU8DVo6OL0mvO8GOws2sdZ/EIdgEY0ZtZGfthRys7Wjq/qlZM1pf5bh2eiNS+5zSPs1b1h+k06knrt9fKfHgQi8/n9qIIyWum92OtuvCvIN5v2CVRWBZcmo+rhQ8We1nwc/xx9v38E+7tzCFjFYaRDkQwvHqhCseDGUlsYrdYoKL+uZ4af8Ed86t4Uujx+M4blTHvtKgfM7umODf79jFdw4O8eRCMQACeZoAgmDFg1Zw9yjceVDRmdMMdQra8oIlD27drxgvGwCbdAnYssF24UEwXtNySYQAZdcc+FrxvnNzfPEuqKZWGWTJ0KyVDcutvFrXneeSrQ6DnQKl4Xc7XfY2lPLMkD3hO9L7n690TLgJTvjDbyJzJda1wYu3COqe5pqHapRrfsLcZWIJWgXsRZaB0K9lOrGTL/GuswPXwCNTMRAIPhv99BBHv9t+QmMWTJvn0/udJ/lqFETNgMCF/fO8pH+K705spyYKCWEJyeVgnufxoq6DDBUW+dLwRmZqMuFLXUmwnp3Qpy+v+PC2vfx4fCOH/E5KeYe2vNOghJu5CWzTctoXbgfx2UrNzEoN2WWnZ5KGB8NTnzvOJR1fpqJ72eNfzpw+Do2DpEafeIRt7q/xteS2pfcw5/VQ8xXlmp9wYxi+7fewKcsUb5vfDS/dzgyXdn6acXUmu/zXIYTbsI7e1xrf99gif8EG53ZuWPwwM94aynU/022QjhlYCV9pK0Wns8BF7V+jICvs8i5nQp0KoojAp1PsZqtzHe1ilFuXrmKiPpSoo3LNa4gjSNfXcm2YBQKyXCp2f7D7kuGhXPNZqvn0yQXeNDDMZ3ZvZrLuJlxlEMfSpCkrgVW7q7h68wEmvSLXzQzhOG7ChWHzVPUUrqrytoHd3DHdw02T3Xg1P4gdCD9tl4G23HgBXw0shWMwthSmrQFpuWTew7yf7a4w8Qte3ef4LsWZ6wRfuasauwoiN4FKWFob+bGXZctIhko3T7GQ5w2n5mnPC24c1hxcDHj3q0s88Y/velbcBEPv+Edk/ijcBLUyI9/+w1U3wXOV3JyDzDtM1DTffVyztRM+eGGBf7nfY2w2vk4rHy3D9f5+djrN9F4DBs2+bEeOiTI8PAFuXkZAwM3JaBmd7TeE2DLge/ZIDmYByiRHsdK1Ctnor2w2A7cHuwEC5/XOc0HvDF8ZOx7XdWnLNwZ+JQWyyw1zG1jnzPPRbXv42v4NDJeLYV3F6/vTQWPQuI6/N6/4yLa9/ODQZiZVe8I1UMq7kdLLu5KclOSkR1HMUtPtVFUBpdOm5sDcnJxZNgbF2UrNfGb5v9NA4PjiPZxR/Bl31z9CVQwhpSAfKd4iM/ps7vbOop2dXN7xCe4pv5k91TMhT+TGMDzYvGSZ5JPv1OgWWJvbz0s6Psed1Y9QlVvIuxIpIBe6QRwBfhh4Vxc5hv3XMlY/i5d1/B23Lr2Xg2xPPM9XjbEYWW2YBVBsvrYVH+UFpW9xX+29zPkn4TqCgmPKkSzp43nI30Fej3Fx2z/yWO1yHi9fEMx4AV8lZ1FGKZrcCKa+WgEBG8xlgZWclORllYJYpKI7qatc1JcCCpIKmHaZqnXwvUNb+dDW3Xx6zxamcOMERSpMGSzjYNtmeSs2ttV436b9/HRiIyNeF/lca4AS9Jki3xw/gTf27QxmxFPdUAPtGoWvEFpEKYsdV1rgJDuOwQYpaStlenkvJC0D0b2hm8kDpNI8PqPpKcKrTsrx88fCh4UWApOMKHh+0sKalqG2W2Cgq8C7z87zm92aXbM6kJ/50O2inr3Ztr3Pw5He/3ylZw0MfPzjH+c//af/xMc+9jE+8YlPHNa9jitxck6E8PfMK775kOadZ7h8+wEYDQFBVvKMxj3DYyBgEO22NXk290q++ZAOgIATK2MDCqQryTmCHe1lNpfK1LXg8YUODlZykRku4Sf0ADf2XRpTZSLvfcYMPF7OR2L53pa2Gi8bmOKrFhCw/dJJMJD0qU54XXz54HG8Z8Mufjw2yCPzbcmkP60sA1LQldN8eOtevje2iWndHgls2zWQdyWlnMNAbj/nlr5NQVRY0r0UxAKSGo9VX8FT1fMSwCVN6eC49HU2IGgWoJd3JSeW7uKE/E3cVPuvODJPzpHkLBAHRvFqynoHN1b/G+cXP0lJzvNo+ZLEM2ueIu86UcxDGhDY75OlcAfcEV7S8c/cXPkLcHrJOaFSEZCTSQHuS41UGimgrjbyu+p/4oVtf8MtXMUYW6Nn2m4Bw5f5na4ne0mhzdeJpTs5sXADN1T+C47TTsFJAhRTR77U1NUgt9T/K+fmPonE49Hyxfhuo/KqeYqCK4+qDaN+7Ui2F+7h1OIvAIeK7qIkZvB1jrsrb2W0ti0CJbYY85RmqlbiO4e28uGte/n73VuYw8ns78KJgTjE/f34jgpv33CQr45up0KxMf7Eqtf0eFsCfjh1HO8aeIKxWoEn5grI8JmOKyDczyHawyCdljskm6fIZZEBBIx8GMjXOaVzgYJUDFfaeHKhhK+JgICxTGo3mADcNuLztpMkxw84PDEWTorAylSYvV9Cw6ZtFhD41sOB29MGKUIKREMOjFV6LtKzAgbuvPNOPvvZz3LGGWcc0f1uLuhcZrYNsOApvv6g4oozXD53u8+SclaUTcvuyEI6uI7D6092+fL9KljHb9bzW7Ny6UrWFT3eu2k/B2sldpc7cYXPm9ePUvUF39i/gcVw5mHW/RtAoKVomhI1a1ZiD3hpfkt418YDfHN0G04uCQTSa9YD4ZSxPCxMJ/u+oZ34ei2PL7TH+eVlYzY2w1vJhQ9t3ctPxjcw4beTd5OR3ragPKF4KycWbuCu2gepsC4qT+oyp+S+w6bcXfx24UMQzhzTZFsJsmbhtkskrUTMDHNt7gCnFH7F72r/GUfmKbiSnBMoXykCs7yvNUoEArfuK3BL3Fb7My7M/x/Kqos91WQ/NXVqC/4kX9kZBtudJS7t+Ay/q/45SvZSCIFATooET0ElCepK44g4o15VdnJL9c+5uO3j/ML79/huZ/CXp8CVYX1JHMmK+DJ9ZlP+cU4q/Jabq/+BvBODpZwjojqCIPWv0hrH11TIcbf3p1yY/19M+0Mc0FvxlY5WaTwdbWjHVryk4/NokefW6r/HF+3R/QUmOLf0OfY45/Fw+SURKKl5krwbg5AZr41rxjfxka3DfGrXVspWGFuz/m72tXjr0EH+OUxnXcpnB6cmLQMy8d5LwHfHt3HF+qf4m4VtaFdGbjkh4w2VAhBIQ1bEZtYK21IQBxIH22N3uD4PLfSwoPOc1T3HG9eN8tUDGxkp5wIg4BqXpox+//BxxdVnueyd1lQhkbp4uZgrAwQKOYd3nZXnmw/6LPgZVlQhEOrZAwMGrBzN/c9XesbffGFhgSuuuILPfe5z9Pb2HlEZQqQS4ISDZMkX/PIpxetPyTco+XQgScItYH1/4VaXu0YUVT/0FYbPib5LQZur+MCWYb47tpmfT23msXIvDy2t4euj27lvoY8Pb92LEwb/pbdYTSQsSW15am8vmzXgzXFh3zyPLXZTEcWmQtQ+bLOwraB84fKFA9t58/oxhorVhuekecg5gqs2HeCm6YHMrHp5N3YVrM/t5vjCzdxU/UvqYjBQLuEhZBsPeVdxyD+dF3V8EUekl7Mlza9uSmGYd8gKhkvw4whe2PZlbqv8EUKESs4oOhl+d0R4zlbKAle63Fb9Y84pfY+SnE+YsdNuAPtIr9GPeZFc0v5F7q1dSY0+XCeoCyecfcc8ifiQ9mfAry+6uaf2AV7c8c/krHrKjrrP5ssGKEVZ5sK2b3Bz+WO4Mh+0c/Rcu44CHsxYyEmBEA63Vz/KhaWvkJM8I23oSMHF7d9gRm3j/vrvg+xI9CVPDHBL7S/YnL+XjfnHrKDIxmWto/V2fj21jqs37wuA1zL9fW2hxjuGRvjiAbOvRRL0pgNkzfvEYCEO+KyS5975Pl60ZiZh5k9a/5JyIZBT2XLBBAva5UgJH9qyj0cWuvna6HE8uLSGx8q9/Gp6E/8ytpWrNw7T5foReEhvd13X8Lt9mhdvz84c2Oy3LT9ffXKB63f7zNeTe5PYE5uMzSGfMcpMfnSYx/OVnnEw8Ed/9Ee89rWv5fLLLz/iMkwSkHRnA9g9C11FQVepMRmG+W1/T4OFM9Y73DMK6T3R7YHzmrUTXDs5yLRfbBA4T5W7eWShi5f0T0c8xUuUbP6tjViswd+Y+59UGYIX9k1z29xASjnJ1O+VHR4uXx3ZylUb91MIlxraPNp8XtI3xVQ9zyOLPcuWe17bt7i98uEgMC4UvDG4CnLkD6tLcfFY5+5cEa+udUDS3xz8TtbBxtzDTKvtVMWagAcR+OMdEStZKWLlF+TtJ3IhaFHivuq7Oa/tO8F/Fh8r5dd8X+vuQpFjSp8cPscoVRnxJCXRf4ZHKWyrQXDM6u1UdC8bco80fd5Kj3NL1/BA7W1o2R64BWQSABtrhTR1EwIXJ+RLyV7G/DPYlr/nqNswqx+vcffT7kyx03tFyEdWX3K4s/phzil9N9FOWWPiqXI3w5U2Lh+YjNogq7/nBLxv036+NrKFGrmI16w6bgVo7OPuhTWc1zMT8R6N/RXKBUMyLSuEmSTMsqfcxqNLjeNzXhX4yfgGXrfuUGxpkJYcDct4cExz0oBEEMcEpHP72/LTPlfKwWCn5PHJRpkVuTplYw6EVXpu0jMKBv7lX/6Fe+65h49//OMrur5arTI3N5c4WpHpZA+MKk5e24jq0p03Tf1tgoklTYbFOrgn7Njb2xd5dLHLUkLJz1tm+jm7OwhcSG9ikh4ICcHWZJDY2cQEGik0VSsIpxkfhmLBKxPXmGPWy/O76TVcvmYiEpBpnrpdnwt6Z/j5+GCijPRmNo4UtMt5fIpUdE9kYraVnP2eD9XexCnFXzeUZ9LgJpX94Sm64wq38FT9ZZZii5VcxK9Vt0YJ2vwe8k+hxxkhJ+orUryN7xGcO7X4Cx6uvSl4jgVMgt8xEJDWYfMnU3X3SO1NnFz4ZVy/qTZfCV+uUKzLPcGId1aiXgw4sV0phge7rgw9VX8p2/O/SzzD9LfDacP0/wCnFK/jweobgnMi2W52fdTpoKz76XImUjyIhrr57fQ6Tuuco8etx+2e6u8v6Z/krpleJuuFhvptVtdZZP/naUldSXLC7G6aMvWnljSmebLddcYqYLfD+b2z3Dwz0JTXPdVONhQrLeWNEIIDc5r13dlLCNPf7YnWiWtzPDRm3s2+719P+a9aBo6cnjEwsG/fPj72sY/xta99jWKxuKJ7Pv7xj9Pd3R0dmzZtanm98ftNlTXdRdHUz9WMBtqDREBNyzcpPbXAVzQEaplPT0ueju6fNYg6XY85Lxna0YyPw6G753o5rWs+8z9HCF7SP8mvxtcmUu4mrrF8a13OIWb9DQEv4UpVv8mK1Tm1ng45kf3cZQTwctQpx5lT65e9rhU5UjDmncSAu3NZHtO/IwUnBJ3OJPNqKKFQj5gnIVjS/RTlQqCsW4Azm5f0f/3OXia8Hcvy1KztDJV1P0Uxn1TWGcB0JW2W5rnHOcCUv3VF18/6G+iSY5nPS/Ij+OXEIJcNTDRsiQxB/Z7dPcst032HzXOa0stPp+s5enL1ptcfjeJ0hQ6yjaaW4trfFUEgqDmyaGxBM9BuQEfSOtBKOXYXYGqpscxmaaifDUqDqiM5nq/0jIGBu+++m0OHDnHuuefiui6u63LDDTfwqU99Ctd18f1Gxf2Xf/mXzM7ORse+ffsAKxJWJZOHGOoqwEL18DughgYlnrWRiaehIP2GFLDmyOFRUyIzMv9wBkbWtZ4WuKLxvNloJxlZHifHSUeam2vidxeUfSfaZjhNx7Uv8thCZ+Z/pmzzvayKuGIx+t88xg8z2DXUSWaph0fpDXWCcgPBH/GpgwA4+/m2olMqzlUfgRilWVRraJPT4XOaCwfzX5ZC1mEEtZ0L36ToDXiyvutGPpL3GdBZwCE7QHY5JexIQZucZkH3J97f8BW0VfK5KlVXK6VmM+flFK2vNJogY52vdKKt7L5ksiK6YpGqKjasQjFl2bRzqZ1NpXLzZ2uBInvpaLNxn3WkyRUaTx+9gtGKeJ+FcJJS9mWU1CmLF6F9lssio3Qwakyq9HQq4nTOFnvfgoWapqsoIv5s3oLN0GiQ1av03KVnDAxcdtllPPjgg9x3333R8YIXvIArrriC++67DydjPWehUKCrqytxACg/TNZhtrxNbT5yyoDksUP1hr0J0pt/pGlszmNdh0iADQjTsJqEHZ7ilskeXtxzKFq/nx50l/cf4ubJniRvunmSoVYoHeJBD7BYl7Q7XkLR25vqmLXdjUCg+YY25jMv/UxB5Wuz4Y11LkPYmXNT9XX0yb3UlYpS2Hp+PBtRGuohMOmVTzHlb2rg1+ZtJeSncsoG9wqUricAgFF0dV9TD4VUXQW/jQJMWzPyYpG6Lh02T60oCZBinoyS80OAkOQ92U8EPv4RKhZfaWq6jbxYQllKX+kYFAWKNgYovvVfgs+wYzezIBxundl9a7y+jbXOYxGPddXYlwL+YI3zFOPepoa+mfXdVzRVjL62V3EkeUqOp3i8Vb3G7+lkUL7S9ORqTFUDy156i+esrZVt2RBdb+3VYZfx2/FeLl8z1iAPTCKoS3rGuWOmG2UlGYsmVVbSscGOwEKalpGtfmvl88RYjVMGhKX8k5M1k2hJ+U/PGFoJNQsQPZzj+UrPGBjo7OzktNNOSxzt7e309/dz2mmnHVZZvp/M8ud7cTav/oLGlZrJBS9xT9Ze4YktOpXPdFnTVwIsYWhnCzSD5raJTtYXypzRPhUNNHOc1zlBT67K3dOdmXu6t9pL3f6elYnMAIo5z6VTVhOb1WTtJGdvL2vvBZAFEDYUy0zV8vFsNQVQxqoFhgqVoP6t8+myPKXxlGTUO4ENzj3BznGh0qgrcwS81JXm1Pw1PFi+LAOkZCn3FfQNq4xD9e2sdZ4MzKOaUOkr6iqeVdb9eHYZtbmtEDUMOE9yqL51WR4iN1H6XbQGFL5WES9+9CydULBKBctOA7CiEkDBPN7w5Yg6CvcwQVN87bi3mTVyZzSzNnwZgFJXKqgvPwRPvgrPJeuoW+5myt/YEtA1m2Gnv6fPPVR5Gaflf4yvVcu+NCAfYsrbQE25Dco6q9w1uSoz9VyDZcjQSKXI5uLCsjN/k5UyDcKzMmoWRZ2qL8M2jicJ0GgFTE8OmlkY7cnGQzPt5ITi4p5DiQ2kap7i5LZga+sbD3UH/d3ITjOhsmTcYKdgdM4Ln9O40VsaBBgZOlv2qPmawY7YemtvyKSiZz6LYMCs2DqK4/lKx8SiSj9Mo6ksIKC0RmrNW051+OGDSwmrgL3ZhqE0IDDfnxhXnLRGxErcGiyRdcDXfHrnBjaXFvnI5p28uGeUS3sP8tEtT9Gbq/L53RvwPR3vSqaTbo1o9zRrQBuyzWgGOKRBxU0TPVzUM94ghOK0vrYgSP7OSvWrlOLN60b44ejaiAebH4Dbpru5sGcqIVwbj5iP2xbeyBmF75PT47Ei8S3lojTH537FjD/IZH19SytGZh9YgXJ5onoR23O/jSwRtqI3iiQ+YmtBBBiURupFcmKRBdXd9Dkt+2r4/6S3iV65KwEE4mfGddLAjwVejBL0laZD7GfOX5twZyw3G067kGq6DdDkmU0BFKj7KrIKpHlK87Ij91uerL6wgY+VALq0lcr0IWPxmqr1MVLfwUm5n8QWnVRfcvQ0Zxe/ya2L78jccjr93gAX9k5xx0wPkAS+5vtPxgZ48+Aogsb+aHhLbytdi9IhJ8ebue/8rnF+NxVbDA0ZwJ/lktQ6vjYhB3SwG6p9zvcVX949SEl4/PHWnVzeP8pLesb40OZdnNg+zz/s3IgXyqVArsWbqhlgd1wv7J7KlpfpiVTWpOpHD5Z508kSqQzQsACBZV1dpec+PavpiH/7298e0X1e3ceRRkkT5BlXmt87XXLjrhqTC14GEEh2wCCjVrzxhunYN++ucvV5JR6d8CMfl9lwKEgrHJRTQ/LNvetozym2tZXRwK9Heyl7MrFNapBzPLm/eRYIsDcGUkrHqMwRwaCVwX1Cah6cbuO1gxPkJmvUvDja2VfaWtrUqLTT+eKNYLy8/xD3z3UyWc9nuiuU0uxcauMt68coSB9Pieh5aSVudvxbrBf45dxHeGXX33JH5SrG/RPiQDVd5/TCD+gQ4/xq7gOZoMKmtGIzvua0cgmS7QT8OEozXt9ISUyTZwpP9VG3dq2TWqNEOp4g/jSz71PzP+PhyuWJuoRYsabJ5s8+93j1JZxa/A23V4+j7iscEWxzKzVILUAppBYRT8ZS4YeKOTKPh3wdn/8Nj1Ve0lAPh8vXQ5VXcmr+x9xbe0+QcClMlp1zJHVfNa0jw4vUc/TIfRys70i0WyuQZP6z+bHP2fXsKM0di2/ipZ1f5Oz817i3+g58EaUapFfu5MLSF7l+/v0s1EvEpvlG0GvKlNrn+PYFvn9wbVMep2sut0z38NqBUX4yvj7iMUom5Mog2VP0HsldI22LQM1TCFXnlI45frh/awO4t03/EPvabYoBQTxjUxKEEvihA89xJR5wzf41/HJUc1xnGUdofntoiIW6E8mlQCHHkxutAmChleYlWyXfuCewAKZlaHCuuSJXwGzZ41ePVXj3mUW+ep+PDwgd1I8xuWv/2QMD9lLNIyH9PHYTHBN7EyhfI7zYLyWU4p1nODw65vHA/nJTIKDDIEXhOA2d2ojBparPrkmPk9dIHptSIWjQ4Za/At8zCiVA1XO+4IFqW/A7NAfbm/8YIGDP8uNrk+ZBIYPd02zTlNIahwAgCBGWIQQ/ODDAG9eN8K3RLUAoRDMiuCFWkDYIMMeO0hwbS0t8Zu/mzOCe2Gcm+M1EPy/pG+c3U+sj5ZIGAYEQDu4ZZy0/mvn3XNL5Tc4ufptpfzN5sUS3HOGRyqXcUn4zviIxmzP8pgV4M0CQfM+gFe1771x6C2eXvsEtlT+yWjnYXtpOzJiYFYez0zzTDLoPc9vim5ry0YxspexIwSFvKxc5Y+SYQ+lu6naqOQKlKyXRLpLGklr3VWTNMOZ8qRfpd3byO++KZS0krfgC2FM7g9OLP6PEIWp6XWgJYEV1VPc1Lyh8i7uX3twADA0fK2nHRoCnqHlEexrUPLh+/vc5qXQLr2z/a+bVIFXdTq+znyXVxc9n/x9m6l2Jmbjp51mBhC/um+TmqT4gTvmb1e9vmujh/VsOcGr7LA8vdifKqHlq2fFmm+nfNDDCjw8OoBoC/4ieH4GDhNWgUT7YgMAn2GfBAAKj/Ja04KHptrgcHSt+4x5QXrxBkrEKjM0r5speEwvA8nLU92o8NgalnOCqs/J84wGF5wUTKXyNFAK//iyCAXF0fv/ns5vgGAEDCl0POuT6DnjjyS6/fqLCIweraOXje7VEB9aplQp2Zw6uCf8PN+K47okKH7q4g8cn/dC/FQABFZm3AoWiVTJJSCLQJwUElKcSAz0rotakHk0PeC00IBLWgcfn2nhh/yzHl+bYVe2OlDFkCyf7MIKy363w6oExPrF7SyCkWvCklObe2S5ePrCL6ybX4isnIRyN8EvPjubq7fxy5gMUZI3e3CHqusiMtwYQCYEdg5TG3QqbKby0hcD+bawDI7UdnFb8DWvlw0zq0yJl5+hY8UIc0GfHM1xc+gK3Ll4BCGz/s63wmj0/a9Z7X/l1nFH4EXdX34NUIIVGKqhDkA65ibUiAgTGWlH4KQ9WXhUBhrQ5fKV8Befg5sUrubj9C1xX/gvwJTmHFdVRr3ySgphnX/3UhnZLW3eakQ0IkqTwVbBBVCFMtfzw4kU8Vr6IHneSvFhi1h+kqvJRn7Z3wGy0NgWHVopzumb4m6e2NwUC5pyQgi8PD/GnO/YyUc8xVmsjH/LiyCDBUNVrTPtsj7Oap9iYn6coPR6c7UApRSurgP38Zjy1AgRSi0y5ZAczK8tSGQCEoHEv2+7whTuSLtb42a3lqA0KfK/GPcM+izXNB15Q5EePeuybCxKaaSlQz7Jl4KjAwPPYMnBMxAwMtWvOWgdXnil50RbBl+9YbAACWqlEB9aqMXYg2Joz7pjGmlD14e79dc7fGK8siLckNr6v0NfmB/ELxi8W+8aWBwJ2tHArwdQsevib+9bxmrWj5HWtIZCx1eErTVHUec+GYT43vJGKJxPPtWMbbJ40gjume3lB9wyQDPpKCsB4i90oylrlGa1uZLK2JrIGpGdu6aWP9jOaUVop20sczXHT4pWcW/omWi0mA+FUHIjm6zgYTWnY5t7EjL+OMW9bSx5WaikA2Fs7nX5nV+SjN9HxcQAjCZ5M/IKyrBVSL7DeeYjdtfMTgKkVD+lzaZ/6tL+RMW8Hx+d+bQUr6lSgXqqOVIXzil/ihvn3ZloF7DZYrn6aWRLMkXRvaSZr/RysbmLJy0V9Or18tplV4KyuWe6d60JhlsC17vd1LfnM7k1cseEA7bKW0ddbHzk83rxuhK/tG0oo5JVYBaBRRkQ86uTvKFLffLf887ZMUin3gJFRZw8KHhnzWKomlwxmuVjTslT7fiRLbSDx+GiZz986z0WbHd53jsPZg7CxQ9PmrMYMHAt0TICBHX0aoT2+e98SX7tznpnFYB9uGwgALffhTgOCdEDMrburnL1e4tK4TMYAAuUFs/9oACqdHHAheEgDgWZLCROrCazBbu5Lry2ueJKv7VvPlRuGqYezobTSz/KbCu3z+xv38o0DQ0xWc6lnNFdoSmlume7m3O7pzFl7lmI3wjwtJKuWAE+vdshScqZ8e/a7nHIx5Zf9Nu5cegcvLH0+9nsr438PjrofA4ECBzkh/xvuXHp7A0/NfPJZlFa6ILin/CbOKPzQiuCPl8sFQXuh0vXjgEc72v+Uwk94sPI6jjQguxlYuGvpDWzN3Uan2J8I1EvXkQl0PL/4Je5deiMLfldDm7XKZ2HXzXJtme5DyUDZxlUzzcCEXf75PdPcMtXX8KyGwD1rTMx5Ll/Zt4EPbB7G0V5D+fazk+NP8e71e/nWgXUs1mXT1UXNeGklI7IAgQkqDCYvsQzyzTkriM9eji215oJNkpt21ZrLyyOQpUr5LFQ8vnHXPN+6dwnte5zQr+nOHV4yuKMhO6PnkR7PVzomwMC1jy5x+54KM4vVqNPZKDZGqs2tAuZ8mkxZSsPNu+tctFlGitgODFShn80E35gja41t/LzG383MgenfzawDexeL3DXTyRvWHsxcX9woHBVXbhjm2ol+9iwWmz4zfd58VpVDXUlKYdIlyIoIN4IxNtd6qSNL6bea5R6OErbvNc8Yrp3KvFrDjtxvLPN7zIPS4Rp7XedFbZ/htwsfpK6zs60tZwFoxdOB+mn0Obtx9GIClESBiyr2yxsgYNwD6ApD7sPsrp2TKPNo+DH3ahyuX/gwF5c+i9DVBGiy68jXmi3u76jrPLtCPmyQdKS8pHnKApXL9aN0f7PLBHCFwhGKOc/JVLRpsvv+/nKBH42t5X0bh1EqqfxtEGDz84r+UR5faOfJ+bakArZWF5ny01aBVnJiOUAQBSpbMimxhNDECYRxV+cNCe7Y51H3sq0CDe6BLCtrC0Cglc/cYpU79lb4+cOL7JmorrA3HD2t5hk4cjomwIDd0ZqZs9KdNH1/4znVABTuO+Bx6lqB0MkAwNj3Fs7+rdlTFhDQOhsYZH1v/d5JgWDKvXG8l4L0OatzOhMA2OdeOzDKU4ttPDDXdVjPtmn3UhubS0tAo9K1vzfjoZnAT5eTRa41OA8nVayvNHcuvZ1tuVvoEsNWwpxY6fpac07hX3is8lLm1GDTspqluV0JP77WPFF9Ccflb25I0pPFj9JxfWxxb+XJ6sWYrIrLKd5mMSQNPIV1Puf3cX/ltZxf+loSoFg8tYuDnJS/NoylOHrlv1Jq3nfiPmRfl/4OMJRfYu9SW2b5zcgeH4/MtXPfXCdvXjfSlA/Tz09pn2EgX+VXh/paWt4O57d9fzMrYsJKoJPgIA0KgoI0Z62X3LG3Fj4je9a+nDzNcr+ac75XQyVcuM+eZWCVjpyOCTCgdGP+gLRrAJp37DTZyNe+RymfRw8pTliTzEqYhcjTRxoIJJ7XQoCuaMaScjkAfH3fei7pm2R9odzUTHpaxwzduTq/mVjTFJishCZqefpy2Wlw0zPELEWf/N0YJ5BF9k53K6W0idjTkusXPsILS58HHaZtDZUeQJ98knY5zhPVSyLT/Epm3s32J2jG767qeWzK3QuQsA6k+TFAwCjizbm72V27sOXzl9vDYTlgsKd2Hg4VBp1HEvwEwMDnkrbPcsPihxPJjg63fmD59myl6JezHmTx5CtNb67ORD3XktdmZMZIsApBc07XVCYvAH1uhcv6x/nyvg1EcQHacg2ouH2PhhJuxGXkUSJgMZRlSmu2dsOuycAS+nQo6WaAwJ7A+X627HgmaNUycOR0TICBhgCW1JIXc81yZTQjO4r2/hGfU9cm88qnk/KkB130jCZmv1a03JrYrJTGWml8BP88vIl3Du3HFY2z8A6nzssHxvna/qHEfcuRvd1pdC5jb4QssgVylnBu9Xs5WumsN13+ourjydqLOanwq+Tabq05p/gdbll8X9NnLXcu63zWdXVKODRuVtNsHwBDebFERXclyrbLdw+zTprRbUtXclbpew08HJ+/gb21c5i1kh0dDh0NX1mrE47EKmE4ONK150ppvj2ynhf1TdHpVCM+IjCgFFcM7eOfhzdS9ZOrjJ4uajW5SLgQUpaEdACzVppT10nuP7gy6+nyfGWlfVdN/3s2aHWjoiOnYwoMJM75h9fZVro15fiCR28pewCmI38NHc2se6WUxc+sl+P6iTVc3n+o4fpXDoxxzcH1eLqxiZuh36ztlgHW5mtMhFu7LkfpmZ39aVPzHeYaaaWz3WYz5serl7I5d3fiWpcyCoey7kncky477abI2oa35XXPUFBS2hrRapvgVtv7AlR1J1XVSVHMRueU1mzP3cojlVcsy4fZKtsu/+lq01YAoNV/jhRMeQXWFWqJnQqzwO5ypBB85+B6Xre2cZxd2j/OrdO9TNbzGXfSVGak+Wn2uxXpjMlK+nf6v3XtMDKnnxElHcvkGBCsugmOHTomwIBNrTJirZRExiZJiWdY4ydrZt5qsC377AxTVCsBYPYJb3bN3bPdnNCx0HB+qFDlqaX2ps9pxYP93RGCEzoW2VdpX7GfPLq3iUJoBQRaKdz097QiyroOCHfCS7aTEG40W5dCNGxtm1amzUzc9n/N6selgspI6WGDBPPdkQIpgnr3KFIQyW2msxRuK/N7lvUgi09H1FA65lEKgRA+yFxD/SzXB46mTePvy4um5fg4UCmxtW0pfqeMPp/u92mwYO7ZV25jTb7R3H1a5zy3Tvc25UFktHHmfyscmyulLHdl9B+Nk6OVTpae6yTk0R/PV3pevHpWRxehsBHSifbuNr8F9gyiddlZAiZ9vpk/KnFNxuyxNUiw7s34v6IcenPxrEimhFwzvtL8bystMV7LU09ZGLIUka2g0xQrBtlwrtnvZJnZyqTZc4BoVr45/wAT3vaEMPbJs6TXsDH/UObz0s8275o+sq5LWwVOLl3HnvpF4e/mSiytLHbVL+HU4q8jZdwKRGXxlgYCDYo45G8w9wSeLuKJjsTzD3knsyV3R2bduDLdJrKhDrKe2aye0++V9buV+ybreQrBvnKJEzvmG6wDzUBAM+p0PLzMkcZhbcltnpWl/JeTGekxvFy2vMx3WqGVysjMYw0krG5UdOR0zIGBSIk7yc7arNOKlKJv9p/5vRIQngYAMjU4swZ3szLSgz0SFrbwSpVr33NKxwLD5bYGZfmTQ+t476b94fKqRkDQChSY6wpS87ahg/x8fH2mMm4l8LP+swFBM4W73AwyeV3SPJ01Qy+Iec4ufpcHqm8NFKp13FG+inOL36bf3ZeY/bZ6x2bAJAsIALSJKbbmbmeP9+IEEJApXqI2CpW+FLDPu5Ch3EN0u2MJQHA0R8RjCAR63YNcUPoqt1X+oIGfB6tv4PTCT+lwZhL9sRUgy2rLZu3a/HsjsMhq9+X6miMFv5oY5I3rxshLP3hnSxGvdBzkpeZ9m/fx00ODDe/y5GI75/bMRWXb99mfzSYVaeXTTGasRJZklZv+z9fBNgvB+zaRmc7KrAYN8jOSycecWlkljhEwIKQTHcHv5oAgfdhlmHuyOqv5f2uvZP9ccE4KezAHqDEtSNKCIwsQNAtSsRF+5oCW2YLFfHa6Pq8bHONXk0khBXCo3sZvJgb46LY9dDheAyCw38GQzZsr4OrN+7h2YoB5P47ITivfRmHf6D9O3xf8zgYEKz8agUDifyFwhcflHZ/k9srVKNGOFCQOJdq5ofxnXNL2OQZzTyQV9NEoXWGASIXLOj/FreUPonFCJS+i56T5caLzBhBIbit/iEvb/oGSs9BgITji+gufMZDbzUva/pEblv4Un84GfhBFbq98kJe2f5KCrDbUS5Z1ILutlwEmy/QLuw/F57PbP11mlRw/m1jP+zfvw0Ef1jhwRDDG/nDrXn433c+BantD3V83tY7L+sfpdLyoLEjKAfu7FBbgt65Ny5Jm8iItM7LkUbY7JPjcO6M5fsCWpYFlNJaZ0rovZTFdRrYG32XmPc8WSXm0QYSH97wbb7yR17/+9QwNDSGE4Jprron+q9fr/MVf/AWnn3467e3tDA0NcdVVVzEyMvL0vvTTRMcUGDDfg89GQJDtDrDudRo7t0yVfeFml3sOqsQAsoFA1jKUrMFtn2/kqXFQJ8oRyf9tHsz3nIA/2LyPH4xtoI6bqXgfX+rmR4eG+MNtezirey5WNk0GApAQgA/OdfPIYk9TAW5/zxLQjhQU3MZzWdc3ltXqnpUAAZ/LOz/JI7XXMKN2RLNy+5ACavRy3dJfck7xe5xc/E1CWR8pEJBC0OnO86qu/5d7Ku9kiU3knLjcXPjsdP27ThwvYADBEoPcVXkfL2//33Q401EZeadVvTbnzZR9QuEmzi99g+vLf0GFgcz6yTmCOb2ZB6tv5WXtf0shBJXLAYKsfnC47Zq3+o3dh/It+lOaF0M7y13cOdvHH1nAuNU4MP+f0jHPR7ft4RcTgzy00JP5TCUcvj26iT/YMkxe6khG2J+QbR1YqcxIy4tmkxJbHkkZy4uIByG496Digk3LyUy5rFy1/xOOk5hkZcnrZ4uWWza4kuNwaHFxkTPPPJO///u/b/hvaWmJe+65h//6X/8r99xzD9///vd54okneMMb3vB0ve7TSsfERkVSBEp7udBB7fvNO65lwkoDAXOsaRcUXJioxArZDCqZ6izGaqBSAzzal85ab5wJCJqY7uOZA0nBImwBA1duOsBds33sr3Y0zFZMlLUjBQdr7fzD3h28du1BXtQ3ybUTa3lsvo2sSANHKF7YN81FPVNcc2gDe8rtLQWvEczBZ/w9y1ed5iv+HmyAFGxH3LyF7Vmn+cxSAHlH4gqPyzo/xd76JYypF0SKOHjHkBetkY4I1/a3c335P3Jm4Tu8vPNvuWXp91n0uxsbtQXZZv71uce5oPQ1bq+8n1m9LQQeIrYGyPi7TUqD44iANxVsHoSEabWD2ysf4vL2/8tdld9jf+20+Lnh9Svlrc2Z58LSlyjrXq5b+k8I4TStH/Puh9QZuPU6l7f/X36z+P9Q8XMgiTbxyaZ4h8aWvKWsCeb7cn0IIO861MIseunr0vc8tNjLVD3PR7bu4a7ZXm6a7CW7YTXHtS3yqrXjTNVz/NPwcXi4ODLbVeUrzVi9jVtmBrh6037+eXgTyoxpJSCcUKCCWauWIFUgN7QKZIOEcJfS4L4smZElL+zPyI0T9mnCtzObZQbXaWZrAk8LhrodRmaDiH8hnXArtrAGlJ+Y4R+OXA2+x9dK6aCeRUDwbO9a+OpXv5pXv/rVmf91d3dz7bXXJs793d/9Heeffz7Dw8Ns3rz5iPl8JuiYAANGWTvhLoNIJ5EbAIJVBq1WCWSh1nT5bzo1x0+eUEghI2UsHdngy7c7m4OI1/aGg04r3QAK0pQ1qBuAgEjOMKQb8PL2oVHGakUeXOon72YLweSyK5cfj2+kQ1Z5Sd8Er1s7yngtz8FKkYpyaHN8NhbLdOfq3DfXy98N7wDhRAIwoWxDZZ+cqckIGNj/pXlxpMCxkrU08tlc62YJ4iwgkBc1Xt75CZ6qv4wD/gXkHJmpeCMwpwVSaJQWPFB7J73iKS5r/1uG6+fwSPVV1FQeKUTLhDGmrHZnjnOK3yYvlrhu6S/xREcEBHJSJEBAlrnabGAEgRLJWfwt6U38euk/c37xS+zI38xd5Xey4Pc05SnNW07WOalwLdtyt3Nv9Qom1UmhJUJYYKF5/YzpF0Bd8vKO/81vFv4dS34xExA8XW2a9X8AGoM+VA2faQCB4cMOaLV3HPSVZqTWzt/tPZ4Le6b4k227mfdd9pdLLPouRekzWKiytlBluNLGd8c2MucXoudngQ37fR9Z6qXLrfPODSN888AQdcBxJb4Xbg0NoEDIoH2zAAEkQUGiHZvIC/tcdK0iAAVSI1SQijjiRcEvdyreerLLZ+/QaFtx0wgIjkSuyhQocJzsZZfPZZqbm0v8LhQKFAorW17dimZnZxFC0NPTc9RlPd10jICBJOrUyk90XPt863KSHda2Crxom8ueWZisCBwnGMgJJWwp6uD+UFiGg1mrGBjY1gJHiswlPunApSwgYHhwnJiX160bRwjBzbODDYraJpMUxRbOZYr8dGIDoOlyagzmKxSkYtorcOdsH/N+LihHZPujbSAQm2tjIJB2CUCg9HwZ5xsw/GSBgkZFkqxH85kOFMy7gcJvk/O8vPMTPFh9C5OcSc5JKuEsMrNwo/Tm9PH8uvxXbHVv5NUdf82ofwpPVF/CnFpP1k6sjtSscXZyQv46upxDPFR9K+PqFBxHkEtZA3IGDEiBE7JjB+YF2xoH20dLDUqEs/6wWyunnduqf0i/fJwXt/8TS6qPx6ovZdw/Hl9lWHokdMoxduRvZIP7ILvql/Kb8l8l4hfS1opW9TOmzqFeK/KKjr/husWPMef1RIDgcNs0DV6b+fzT95gyIehPVU9FgMD0BSxwYniL3gfJ7XNruGWmnw6nzlCxQpv0mfXzPLjQw2Q939RakQUI7He8bW4tL+s9yJsGx7hmdJA6KpQTgbRShO1LEhDY1Aw6NQMBaXkEhNuTxxYIG5TgwlwVHpnQvGyHw6+fSHbqtFxdjrJiD+zzwfdnzxt9tJsN6fDeTZs2Jc7/9//+3/mrv/qro2GNSqXCf/yP/5F3v/vddHV1LX/Ds0zHBBiQbh7pBujSmLW08hEm5eUKy7GXEUauAjfPtn6HEwYcvvqAwnFiK4DjyAgISDc21wf3Gx9emN1LmvSjIgAFInvf8piXpHkvDQTScQKOK3nF2kn6Cx7XjG9q8J2m15rb28s2ptkVLOoiT5STSDdtCm3mk43dAw55V0YgIOIp8nkH5eYQ+AqcsK58GfNjFIgrBV6G8rAFb9MEO0KwJjfCi9s+zZ3V9zPHdnJSIgXkHJk5Ezf5IWylG4MCwT71UvaUX8Ja+RBnFX9EhxyjrkssqDX45MmJMu1iAlfUmPK3sLP+CmZq2yL+jKJ1nVjhBlaKeCVBOtBLKU0OqAuVAAVAArDM6JP4bfk/0yWGOS7/W85z/gVf51jQA9R1EYc67XKSvFhiQa1hb/0SHqm/HZANIMDUD9DAUwMoQTKjT+XO6ge4vOP/8rvFP2Dc20pafWS1Yas2zVK6drIm0498BTkZZ2uM0k5bZdc81QAIsnhzpKCs8uwsJ2ettqWtGThpNdZumB3ilb37eM26Q/xsbG2QycJTaG1m/wYYxIAAGkGBTa1kBTSaxoXQoTwKXBU+gWUgfBJaam4/AO88VXLCgMMT48nnrRQQpCdW5lyD9VV5KyjtaSJ5dG4CMxj27duXUNhHaxWo1+u8853vRCnFP/7jPx5VWc8UHRNg4OrzCriFAgfnFQ+NOgxPB1OlNCjIch/YlO600s2zrtPhtSe6fOl+lVC8BggEs3ISs3O7s9npP+NBaIECpRN+vIiXNKhIAQHHlZF1wHElL1szzaZSlR9MbCHvyoQSTs+ggEjJ2go2DQrSJvzo3gwhaAMB2zVQCH+b2XmnO8vJhd+w3n0UHWRsQKDwtMsB7yyerF1C2e/AEToBCuwZVlYSnSzTsSMFOSnZVriT0wo/46bKv8OTA+RCJZyeiSdmDDJok6yZuA0KJvUZHKqeHtyiK7TJSRxqeBRZVGtA5GJ+bEWfsgYkAghT5nlDvgwApJTBLnsGFIBqsBJIR7Cot3Bv7aqwI9ZpF5O4ohzkUFB9KFGy6qo5b5n1Y9WRr6HuB0tU675iSW3h5spfcFHbJ3i89jKeqLywoT3T/Svdps1m3I4QFOUSxxduYVPuHnKiTuB00wg0Y96JPFq9jHnRRz30wTlNUl3b7oQ0P+nfK+3/rcaaIwU1T/HL6Y28rn8frxgY51fjA1Eiah8VAQJbYZtZfFBYUlYsJyeApjLJ9wLFDxKdSinue4rvPqp475kuizU4MJt8p5VEfDQDARt7HE4blAx1Bn39xidrDLco57lIXV1dT9vsvV6v8453vIPdu3dz3XXXPSetAnCMgIGvP6QpFDXrO+DcjQ6vP9nltmGfe/Z7UWe13QdZlNVp13U6vOMMl68/qKirYPafBgKOG8cNmM8EOcZVEG8KYoMC24WQzVcS4RvXgA0ELl0zzXEdS3x/fGvDbDzLpJplETDAIL25S5YpNv3ZGM3dCASKss557d+j39nDk95reaL6VoSwMtrpMoPyTl7W/ikWVD/3Vd7ErLeuQYnYJuBWPJmlgxe2f5WCqHB9+b/gOAVyUpBzZOQeyDLNR/WkQz99qITrfjNQYKw8JcpsjPkKJz928J1RtGlrQE7KCATkHNtPb83EzQZBKrQOSIe6H0SANVoJzPMMb3kqrI/7lQNOC95i90nAW1b9mDoKgICk7geKRUqN5/dyQ/U/c1buSwx2PMJtS1dFgYU2+Ey3Z1rp2u6kHneSM0s/pFuOsrv+Ym6v/SlKxFk0BT4D8kFe3P5ZZvwh7iq/nbIoUkv5b+wYgkLoJrBn781AQANPMmu1RHOXnB078ZPJTbyhf5jLBib41aH+aHG/AQQmhkBKUMRyArJlRRoEZC13jl8idl/6nkKIYPfCtBPC9xTfeFBx5Rku33sIRlKAgIY7bH5SFlbpcNYGl4s2O4wtah48pLlxOACSuvbsuQmOZEVA+v6nkwwQePLJJ7n++uvp7+9/Wst/OumYAAPSESgpOLAk2L9L46C5YIPkjy4ucN1THo+M+Qn3QVbsQLrzbutzeO3JARBYrLcGAk5kIWhcx6vCYEEdBuo0gAKtQWanLU6b+cwAN89yXMlL+qc5sWOR745vI2cBAXuGngUGsnZ3s60FrQS1bQ61BWDwTCcCCKW8Q96RDOZ388K2L/F4/Q08WruKnBTknbQfs40x/RJGai+mW+zkotLXqOh27i2/lVl/IAIFhp+mICU0H6/N7eLC0pd5ovYqDuhLyLuxWyAABCKhgANAEMYwRDndSQIBoamHbZcFCqL6De+3Z/ZpEGBbAAxP5lzOkYHNJCV3tA6SJvsqXE3gaxwhcfxsK4FSOgxuFAm+bN5MNTYDKElAEN9r15EjAlAghUIqHQIUgDz3ex9gnbid13T+NbcvvYeD9RNQWgerHKRuPfMO27LTmeLs0vdol9M8VH0rM5xATsogdge7H0mm1dncWj+bAXEnr+78X9y+dCUHaseTJhvwZgU4Hk7ft+NjmgFvE7NgA4ifTm/h9X17ePnAFNeO90WAQAmNiSFAgeOIYBfCjFyGzWREeoVTlstJqyAYUUXtFQMCrTWOK6l4iq8+oLjidJdfPQlPhi6DyOqaEYuVlqUnDDi8/HiXJyY1X35A4amQLydwjfj+06tgW5HMqIvDvf9waGFhgaeeeir6vXv3bu677z76+voYGhribW97G/fccw8/+clP8H2f0dFRAPr6+sjnn1uBlUIvt5PGvyLNzc3R3d3NKR/7Nk6hLcq3bTp6XsClW2Bdh+Bnj3kcmG29KYbpxC/a5nLCgMO3H1HU/OZAwM05MRhwJb05j3N75thcKlNyfOa9HLuWStw328mC50R8+Z5q4NWQ1slo4bSpzwYCl65pBAJteSdSyukIfkNpK0DN8xusBFn+Vmi98U0+DUYcySmlGzgufxt31v4YJXsSs3Gbgi1xg0/PD2bA3eIpTnW/Q0V3cF/lTUx7wcy2WaxFoDgmObf0XXKiyt3V91IXfeSkjNwCMRhIggJHisR8yyhdMxuv+zEQqCsVWw0svqER1Nn5GQwISLsHbFDiSgGiynz9ARb9x6nrGUCTEz20OyfQmTsTQREVzsgDvlQ0QzfAxfBl6jbNm81XUHeNACVtsWhVR4aP5GcADOpK4+pZzsp/Ga01d5ffwaw/sGxbdrtjnFX8Ee1ykoeqb2OaE5vGeqT7Ud1XoOY5L/937KufxUPll1NXinLNp+qpCARk9X1o7PdAQxBjGgTYAbQJnkJ3hBlrNS/mo+b5vL5vD/uWilw30R+0oaeiXQVXKiOyQIDjStodxVnd82xvX6LT9agqyYFKiXtmujhUdVFKozyF7yu8mo/vK5Sn8erBd99TaBVMsN5ximR4RnH9Th8VbkfcjIR0WN/l8JqTXKbKml/v1pEstXkF8KtLPPLJdzA7O/uMmciNrjj/v/8It9i+/A1NyKsscsf/5w0r5vW3v/0tL33pSxvOv/e97+Wv/uqv2LZtW+Z9119/PZdeeukR8/lM0DEBBs748+/iFNoT+3QrX4UdXdNV0Lxiu8SVmut2+uyf1Q0bGgkp2dgleM1JLk9NaW4aDgbcckDAzTv05RVv2zBKu+Nz/2Ifw5V2Ksqh0/HYUpzn9PZpZrwcPz64lkO1XDTA7AEPzRVJ1iB/6Zppju9Y4nvjW8m5TgQCSnmnQSk3M1smhZRqsBSsJHLfgAAjDGMgILiw/buU5CL3e79P3s1FStj2nYMR4DpSsPVQyRpQ0KF3cnL+R+TFAnvqF7C/djqLeg0mF0KOJdbnHmZH/ne41Hmo9hZmOCGxZM88u+jIhAI2SsXXM5T9vXh6AUcUKclN5OQAKpyNN1O8NigASFeZqfq07z3LGqCpMFn7BWV/D335F9CTP4WCDMyGNTXFTP0Rpqp3UXQ2MFB4Deg2PJVUvllgJYsvw5tpg3TMgrEE5GSg4ISAuh6n4u/H10u4op2Ss4Wc7MVXJPioeqoBECgNdaXoZien5b+HQrCz9kJGvNOo6XjPgzYxxYbc/WzL3YFPkUdrr2eG4xtAQLN+BET1UPEVnu9zqvsVfKW4ZfE91CMQoEJlfGT9Pit3hh20mzXezDPLNa8BELyudw8jlQK/Hl9D3VcNkwZobj3MsgQMFD1ev+4Qawp1HlzoYW+lk3k/R14qNhcWObNjipoSfO/gesarTgQEos+6ikCCkVe+r7loo+DUAcHPHvcYnmmUowBD3Q6XHecghOCXuxQzlSCgMb36yUx0/OoiD/zvtz0rYOCCv/rxUYOB2//q9c8or89VOibAwDl/+X2cYjtaheZ4M5jsQaWgt6i5ZLNgXbtg36xmdF7hKxjoEGzrlUwuaX6zWzFXE4kVAmb27+acBiBwZs8Srx8c46cTGxnzu5oKgrXuIq/sO8CepRI/GRug4pEAL82q2fb5mTwClw9Msa2tzPcntiYsAgYIxNYBSU5KOp0p+t19CHzm/LVMehui2awRjF4ECJLuA/MOhhqDp5JLBw0QeHHHV6jRzVPqHbiOaFDC6WA0e0abUCCWIpFqgQ3uXax3H6QkpsIARPB1kUP+SQx7F7KkB6LAwWZugUJYLzlHsOg9zETtOnKynU73OFzZha+XWPT2UvZH6cmdTU/uErTOJRRecgYegAJoZRmAdICg4cmVgkX/ISZqv2B98dX0FU7DERIhYjBhz/Knq49yoPxj1uQvp8M9q6WVoBlfhrf06oVGd4XHrHcrM/U7Kcq1dOS24oh2PDXPgreTmpqjP/9S2p3T0QQBhBVPRW1YDb/b4E5pTV5PsNm9jbXOo7iiHPR1NBXdw0HvdA545+HLzsSqi7Q1JSuw0Q5orIdgt+4rtsof0c4wNyx8gLoiAQhs65jd35u5CGwAbK+UyYdApdc9SI8zhkYw5W1gzh9AaU3ND565VDPWAS8CBOWax+v7h5mo5vjFoYEIEKxEPkCsaF0Jrxuc4IT2BX4xuYGRekfTCcFad5HX9e/l52NruXe2Y0WAQCtoz2letk2wtk2wZ1pxaFEjBazrkGzqFkyWNTfuVUyURbT6yg54jgFB2Ga1Je7+n29+VsDAhf/fowcDt/23VTDwnCPTwOf9tx/iFkPLgNb4XhII2FYCpQMVMtiuWdsemG6nyzA8p1GY9fyx6c2OCXDzMgABOQc37/DC/nku6J3hOxPbEU6uIXrfDswzJskz26e4oHucr+7bwIFKITIBmkFvU0P2QSl49doJ1hVr/GB8M6W8m3ANlPJuDAocyfbC3Zxe/DkV3cOM3o7CoYMRep29HKifzr1Lr6Wmi5GQqnrpGZJqugY8nVLWdg1c3PFV6vSyS70lAgIFVyYUs/EHR8vAQuXaaHJuVCSmbtM8AQnlYQLh0kCg6DpoljhY+QYFp4+NpdeQc9qQBDNg0+M95TFevZ3x6s2sK7yBknNCpuJNzsAzlK6lbG3Te6BsFeO1H6JYYmv7O8jLIk4Yu2B0nBQBGNA6VnY1v8bexe+iEQwW3oqvnYgvA6gOl680QKmonYxVf0B//gLWFi/GkW5DHdXUEgeWfknZP8hQ8QoEHdRSgMD+VCp2qwTZHVu3Y9oaYLt4DDAw1ycCLMP+UzGAxFdsEj+nU+zmxoX3N1gI7D7fqn+lE2gZ0F2Sdc4o/YzN+fuY8Tcxz0YkPt1iL+1ynIerr+KpyvnUlaZc81mq+QkLQQAQfF7dt4+FuuQnY+sSgACWsRxKwVCpzlWb9nP3XD/3Lq5pACzmPWy5pHyPN/Xt4qG5Dn470YNX8wMXgReAAd/PBgTBShvNxm5BXynoDxNLmpH5YC2+kaO28reXYRvrAARg4Pa/Wrnp/UhoFQwcPR0TAYRuzsHNOSEQCKJjhQTl2YNHgQsiXKoztiQ4uGgv0ZFIaAoEpB0s6EpO61rigt4Z/mV8B4W822CStwedyXzmSMFD5TXsLHfwrg17uG2ml5sne1CEAzpD8ZoBk3MEbxg8RMlR/GB8c2Kgp4FA0fF5aedn8ejgltp/RIu2xAzT9xRD8g5e1/2/uKf8NvZUz4h4NlaCgPfWCWGyZkbntP0YKPKk/2YKbgwEitZsPBkgJ9A68D87QgUBeUIjlWgISLMD9aTI4CtjWVwWEPD0FCOVL7Cp7a10548Lc803zjAd6bJeXkx/4Wx2L3yTBe8J1uRfS84J4r2lDCLo7WRAWYl50jNwUwdQ50DlS3TnTmaw9OKgj4jkMkRTnAECOlp7nmd757sYK9/GcPmzbCr9AXknHwY5BvVl+IKVWQZiVwFM1X9FRQ1zfMdHKbhtDZkR4zpqY1vHm5mr72HP4qfZUHoveSeIBwjW8pvY+HD9vBBhexpl37odswBdOsYiriMRPjYIsEyXvdd7NTuc73F+23e5Y+ntCemW7vNORoB7M/C7IfcIF7T9C4/XX8v11bfiiOTupsKrcELuO2zL3c518x+GvC1WvUgxA/x8ahOX9RzgbUMH+e7IIL4U0YQha9mikVXn9czy0jVT/MvoFhZ0qWF5cd6NEyXZgH+pBt+bPI639j/FnOdw11QHMuRFh7kjgpiBMLAwnGBJJUAIhuc0w1EyvlBuymQcQ7PVV8a94fnPYtIh+ewGEP5bomMDDOQdHFe2jI6FINWn7ynMDuPSyspmTFY2ELB9cE7423Ek3QXFm9aP8YWDx+PmnMzofUMmitiOWC57Rf555Hhe07+frRtH+NaBIeo6e82ulAJXwDs3jLDo5/jp5MbGQD03dgvkHXhF19+z37+EUX0xrhvPsCAEA1ow5l/IWPVMzi38I91yhPvLr4qi9e2ELPYyK/ucHZhoQND2wr2scYe5vfYnFBxLiDsBECiEvlXNArPePVTVQSR52pwT6HBPRjgyFIrm+Y2KJBklH15lZtCyMVo/oUCkROl5DlS+wPb299GeWxuBBkeSCo4LyhdohGhjR+fvM7L0aw5Wv8r6wnuC2WrIq1ICqQNQAESmeTuLoL1aIQACHvvLn2dN4WIGimdFQMBYTRwRuogspnwV1IYwCWk0rCtdSE50Mrz0GTa3fQhX5uP6MnyZ6P0MviB+prFUjFa/RcHp5bj2D4QbHsWWCnt5oV1HXbmt7Oh4P08tfJ5NpfeTc3qs1QtxO9Z9Rc6RR9eOllWlrB5jwXscTZW8GKQ7dw45pxNHOoCP0gJfB6uNfEfwuPdmzsn9EzsKt/JE5cJYUR5Bn887klNL17Eldx83VP8LQnaQk8lETcF4K/G4fyX93Mkru/6Wn8/9e/xwSaOvnAaX3K+mNvCinjHeu+kAX9m3AU8G/qIsy4Ar4K1Do5QcxWf2HYfjugkg0EwuGdcIwBLwvYntvG/d4+xZLDGuJFprpCNRysdxJD4q2kvBcWUMUIiXPKZlaDMgkF59hXoW9yaQcazCkd7/fKVnD7IdBeVk0MGMT902qye+i3htvsnSFR/Je6JP220Qduy3D43xk4kNELoG8pZSLln++lhROw0D1HUdfjK5ib3ldv54+266XT8QIgaMhEdRaj64ZZjRWolrp9bTbOc2Y7J8QduPOOSfFgABo5BlqJCNmVWGO+DJErfV/pQ+d4TTSr/B7Dhn+MzKVZC1x4AjBV3OLGcWr+HO2kfIScd6XuwacKVgzrud4fLnyMs21hVeSl/+XCpqL7uXPkFdH8CVtuDPiP4Pv8vwHYL3ECtSII6AkcpX2FJ6ZwIIuKGyc4xFQcYK2czSHSEYarucLvcEDla/jkBHsQmRMpUyClrMhX0nJ2UDEBBoRipfYU3hhfQXzoqeZQOBoOxgq2g3VMJuBFwsnoWgt3Aq64qXsb/8RUAl69DJ5su2Bth8jVW/Q5s7xIbSaxJAwJFEdWM+bUuGK6HN7Wdr+5XsL38ZgUrUe/yOton/yNoxABOj7C1/irK/k/78OawrvJSC08m+8heYqd8cuBWk5Z6KxoLk7toHOKXwK3pz49HujiYIcCV93vw+oXAzg+4T/K727xGyAzeKR4nHW8E1QauSSc5jv/9Czm//drBPhpscy7bb4aaZdewqd/KRrXtpc1TkzrGPDtfnj7btYbxW5Ltjm5sCgcRkIeN8wZVIx+VHE5t5x4aDsTW0iQxNy9ZmMjRKxBbK0KSlNfhuZMSzRWZXx6M5nq90TICBP9q2m9cPjpN3hIVCZdhxQ3OrTJqHkp1ZJDu+yP5PSkF33qMr57G/1pk5sIxAKbiNEcZZx70L/fw43EZ4R9tiJOAdIRgs1PjY9t3cNtvPbbMDiftiwRQP9HY5z1DuYXb6rwqFoUgJQnumbgLGHO6pv5/NubsZcPc0bH2bFpBuCgiYzIKXtH+JOyp/AKIQbbUbPy945rx/N4v+45zY8af0F86nPTdIV34rG9tex3HtH2Ck8q0IEMT1ECuStKKwD7Ptr23ulkbxhbO1Of9WOnPH05nfHN8rkwo/EwhIESnFgeILKTnrmKpfGzzPKH3HPCfJlzkXKLLAPTJZ/xXt7hb6C2eHzw/KEZB4rtAqSNWqPIRWIY/x+vuAp+B3X+E0unKnMlH7STCDl8n8CWm+TLvEQABm6jfiyjbWFS4NLCUiBgKJtjCAIKqvuI46cuvpzZ8VlhWDpGgJp+XGOdx2NP2orsfYX/46W9vfx8a2N9CV30p7bpCB4gs4sfNjVNV+Zuu3Ws+P6z/nSFyZ547qB7mo9MVoyWQroGv3eXPNgHuQE4s3ckf1w8jQLZCo26iOrPeVgv3qZaxx9tLpTFnuBidTNtw118cNUwP8ybbdbChVE/V0XFuZP962h19NDHLH3JomsiGZ9yN9xGnDg9+HvHZcAQP5eiz/lpGhwIpkqAEXMZiAVw5M8O+27+TcnvlnV2Gs0hHRMQEGPrtvO3Xt8KbB0agzAg0IFpJ5um0lb65PRO8bq4B1zwu657lnri/hNzefWdnI4nMy41xwHKy18+nh43hR/xTv3zzMxX3TvHPDCO/aMMLXRzbzxFJ3UzBhyJGCE4s38XjtlUH8g6XUpCVEpC3UQ8UqhcPtlQ9zQds3EsLRfkYaBNj/rXV3Uact2I43RM7J5wm0rjNZvZ6tbVcgpRMpGxFYQMk73Wxrfz8jlW8DOlLitjJIAwL7iJWvsN43Po9WTNduYV3hsuiZRtlJLAVMrJBl2AdM+ea+wcIrWPJ3UVMHgusTzwz5thSwvUa/rg9Q9neztnBZwDvBeQMshLCAgH0oD0JAIENQIEwfDd9lbeFF1NQ4FbUnAVTSfBkrhVniKICaPsSc9yDri68L3z3kwwJjEW8Q8yxEVEeC4H3WFl7CrHcX4D+t7SiFAK05WPkW2zqupih7o3Y0hyMlm0u/x3T9VhSVjCDJ4FhkI4t6kA25RyJQY48lVzYC32isC8EF7V/ntvKHkNK1+CXFd/b7PlZ7LScVr0+WackG+/euShdfPrCVN607yBUbD/DCvmmu3rSPlw9M8Ll921tuI26X0/y/JPi/e76f83tnEwr96ZChaXn8+nXj5B3NPwzv4IGF7hVK+qOntHXlSI7nKx0TYMCRkhumBtjevoSJB8gy5yQ26ziCRhVSsKVtiT3lIBo1HrhxNTkZ5aYVd/o/gIpy+PrBLfz00CAKuH2ml3/Yu43JeqHh2vT9ho/17qOM+WfECtBck/HdCC9DVXop6z665MGm/GcKGCE4tXQtj9TekBCWiRmEECz6j9CTPwcp3Ng3jIii06WAguym3dnOkv+UNUNPKQNiwWof8Xms94sVUUUP0+5ux5G5hAKGZF+JzmFMinEsgVE8Uko2tf0eo5UfRf8bxWveP+LJAgJCwGjlR2ws/V4ELkQI1gJFSqRU0Qpd8yj/boTyTQfQNR/jnDW8GSAQgQoh2Nj2dsYqP46uy+LLrktCvsarP2Jj6R04oeQ2f9t9RFrnpFUvpg4MP46UdLonU1ZxO0Z96SjaEaCq91OU68jL/qh9TD+K+pJ06Mufz4L3QPD+GVJMCsEj1ddxUuHauH6a9PH073Y5ha/zLOq1UX3YfdWmxPuG/03oU1nnPhlfkxrX6YnGjJfnc/u3c/NUHxr45cRavrB/C4u+23CtXYaRSyvZy8N831NuZ3NpqbHCQjocGdrq2pM7Fvjl+Fo0zWXjM0Fpi8VhHxl65flCxwQYiKNjRbQU53BXRKY7a7OO3ub4LPlBwEscgRwHH2VF37dKZJKmQ7UCd8z0MVxuS4CMNGUCA1HDo9T4fKsu7Gx0aZZGvVNY6z6VFN4rGKid8hBzagOQVB4BT8GJmhqnKNenb22gdvc4qmpf0//TwtZQOjI+TWV/Nx3ujmWfD43vkPgvVIF52YcUOXw9E/NmFJd12FRT4ziiRMHpi4RKq2dVH5rEXVvC3dRB9b4wD6xuDDO1wUpOdlOQ/YHVQrTmy4AUXy+idJ2isy4oL1L6Ry74OtwdLPl7ot9pRWkre5uWb8e9tFvtqDVRml6FjpY8Fp311NR4w/2JshigJOcazi/X59e6Oxn1To5+r3Box9eTQ+jW26nbvBh+9lfauGOmj7Fqcdn7bHmTzqbYLIeIrzRl5VCUWaHMR0f2EkkwIcKigYdVeu7SMQMGjm+bY7ruYifESqfyTKT0THXAlfzWSjPvOZRkvWEQpVP8ps/Z16a3Dz7Sd7bLA1DaQegafrje2jcZ8qzfdiKaNGmCCG3/MIGU1nE3Sb+OeaYUJepqEYW1Zh4dCXAVrqZQ2g93oWtNWb7LVuTrRVzRmThneLWBowp5aVYDdn74DvckFv2dCetBmmzFsug/QlfuzGV51QBCInISf8FDzdUgH0Zci9Z1I4Hu3JnMew8Hl6+AryV/Nx3uCQ17ITRLFZxVR+krXdmBrxda8trA+wraUeCgQ0WaaDeLA601nlpEilKQLrmFblO4CFammO27dKpmm4030/8N+FYalPIa7m9GK51IZE9CGjMrNsqqZIKxoqiz4DlNJ1RpudiKsq418nismufU9tnDmig9HdTMbXI4x/OVjgkw8MHNu7mod4qv7lsfZR6MU3kG10SAINXB08t1koohuF9bs+ldiyW2lhas3ObJnOOeCrKeVRPr9eP/m6Hyo/3tK80hbzt98nFUmKRHRQlxgndJp881edxV+LnGeYJxb0vLZ66U4rz9wWebcyJz3gNBToHwedqAgvCc1jDvPUyb3BHUk9aHDUyakaRIXS1FG75o4rX7EUAhPmyeDAfpqnBFB75eXPbZxkVQU5MU5EDivwiQQMRHcJMkf+oaRN4BISicsRaEjHm0EjDZ/CmgINdSU1OJ57QSYgFQ6ohm1aZdojJXUEfmOvPdU2Uky89gm1EaiKgw0U2bs4N575EQTIZL91TAr6/CvRKAmfoDtMmTrERESRBs+rxYIfiEeCxMeFtZ4zwZ9E8Vl690kJDKHm9BwiWzv0UAtHvkLia9zZkpkJtNFJqNw7Q8SR8ms6KRSbZcimVXnJp5S3GBXUulxATKToxmk50MSVnXax3fY8tQk0nR9xRf3zvIGV0zfHTLU5zUPrui+n86SB4lEHg+xwwcE3kG/mHnRkShI5GC2O7E5pxKdXBD5nuQdEhEOw3argKzDfE90528f9sI9y2sSWQXdKSI1u3aZA/IZtYDcwg0x5UW6HQ9Hl3ooKJzCSHgSJFxn8JXwZrlR8sXcVHHNdxaPR0pTLIeGa6BD01yOrkhUD2cGUi9SI/cx5S/OSFgmlGQmMXUj8bXPlI5SBEIPhnNkAJBnpP9KK1Y8IbpcDcjLJOuIhDmZe8QNTVNwdkYpNMNgVyUUlc3ttlKqSA3UFHDKE6LFJYgSOKjNfghP0KICPzFQj1WdAbMANTVLK7sRq+AFa1BINGhgTRQooFJQWmN0Cb5ksbXYaCem6Nw+tq4ECHj2SVYgCY5M/a1QhwGjndFFxXVuKO8KV8LWtaRb4GmwNKjKfv7KMgN4TUrA3VKaaQM8iE4InRpqSB5knEZ5OQAvq6x6O2n3d2IUeVRHwEW6wepq3kKzhAVz08AAlN/5g2FUI3WrIy+Zfq7rzQzrKVdTpNjDqW7wz4iohwKdV9ljjcDFo7L/4YHy5dnyoNWPJSkx0nt8yz6Do8tdABx7gAbEFStnAnBVs0+zfIM1Lyk9eDcrmm+sW9dDAB0nHHQtFGz/RJM+2mlCXZiBaE0vpUrBII8BZW64J93DeHIYG+CVXru0zFhGajVk7ts+Z6Kdt9SOpnfO4100+k+bfNYGlRopZmvOSz5DmucxUQ607KVbzwYZPFho+9mQGBjYZE/3fYUJ3YsUHR8PrxlL2d0TifeM+0aiNF/UPZkfT0Cjw72NKSBTRy+itL7+uG5c4tf597yGxOzpyw+03z4WjPpb6FP7oyEapxyNrYQ1JVisPB7HCh/iyVvNJjFhddoDRV/kuHylxksvDNhFTAmVt9SPmkyAsk20UKoyENBVnKOC5LTaCLhrAlnk9EMLxTaibKI/lPEcRZaw4L/BCW5Pfjdon+a/3JigKo/lgAPRommrRS+OS9kdMT1lZyNp6mqxsinLBCtqORsZcnbZblq4nc1YMgo/Kw6MteZGboC5uqP0uackFRwKwBNWSDPPLPuB313XeH32F/+JkveWKIf+RqWvAn2lb/KYOFdEaDMMt37StMh9jPjDcbPSSnjrH5vjruW3sJ5xa/GfKl4L41m462uFEVGKIoZDta2WJbF7I2S7N+ndszx4S27KTk+29uW+LPjdrK1uJBhCVCJSUp8+BlHcsOmLlFGa5is5qKZfDM3q91Wthy17zHy1hy+F2wgZ1LE+76i7mlq9cMD9kdDq26CI6djwjLg1X1wVMJEZYBAq+1A7cxZWukGS4AElNQIJdAyVEq+4vv7B3jv1pEg41dmFG82Wk+b5swAfnHvOCd1LPAPu7ew4AdVfvNkLx/Ysg+04IGFnqh8e4aStg7UPMWN81fw6u5/4Nql/0KdAiBxNHgEm4kYwW7ywteVZov7O5TW7KmdmSmUbEpaBAJ6qnoRJxRv5p7qCdEsyczE6kJFmR4d0c6G4h9woPxVis5GunKnI4B571EWvV1sKL4XSV8gWJWljA2/FthYjpQKsu4BoaUihyM6KPvjdIgBtBYEhhMNSgQzFK0xGWw1cWxDNEO2Zp91VUbpKq7sWpFlAKDN2cFk/Tf0c36QSVATpM7WAhFaBFA6hOBWJHaCn7hO0rwZkLDoP0mXe16CrywXk2lHSQkNeGoeKTrRBFYLDYE3Xekw0jH0dKfqyAZLvtLU/BmEcJGiLdGWUdssY+FR1vNMhZvsjlJDTnSxofj7HCh/jaKzia7caQgE894jLHq7GCpejaSbqm92TzSmewNUAwCzPX8ju2ovjMCBqZflLAMAB+onsS1/F9vd37DLu8xUVBD42GS8eX6dF5c+y3Xz70+l/c62Gho6pWOOi3sn+T87t+GF8Tm/nujnyo37GS4v8pvJtdjzNiNfCDMrphWZ/YyqBRiuGDrAt/evtfYgiK0CzSZUhrSK5WjYZIHFBoWDjD+94F+t4uWJXv1wYzaOnI5WoavnMRg4JiwDyo+Rpu8FQMBssGG2MzYWA9PB7aDseDl3EtWmNxEy38eWXB6fb+OCrokE+o53I/MjS8FStAmJagACWinetX4f7W6dv9+zmQXfjZC1j+Bzwxt5Sf8k6wqViNdmwsMIl6laL3eXX8/Fpb/HU168naxSCeFoNgHa6NzJ9txN3Ljw3kwg4IXPMUeaB19pDnnH0S93o3Q9mtXHcQnxDnp1X4PuZqjwUTqc01moP8lc/QlK8gQ2lz6GZE2kPKJgrCazkbTpudWM0lBf7mWMV38dKwbiWa+v4hl5YA2ILR/2tUbhTtZupid3USKmYDnXSl6upapGo+uimARbqYefRkFFPFn1ac/Gbd5Ml17yhynKjcEzWnIU/9+XfxETtd8mrAM24AjaOjkLj+vIqkPgUPU6enMviXi226iZhSfLlZCc0ceWnrpSoHsYKnyUdufUsB89HvUjofvCTaTsza9U1JYhN6x3H2F//WSaUbrv24Ch5il+t/guNrr3scn5XcJykTXeKp7HhcV/4pHK5UzU1lpyQCUmBmlQ0utUeMWaQ3xm76YICCilWahLPrN3M6C5asMw6NgVacskEyeQlkv2+ZqnOLN9kv3lAgcW85Hss12u9kw/PaGK47KyZam9i6yR0X4os82xSs99OkbAgMarqQgE2J3P7FhogwAT3GMf0NiJg3PGwhCWFw6Knxzo56zuWQbcxQZAUE0NtvQA9ZXGxeNDm3fz2EIbPxhZF8yeVFpwSr6wbyPvXL8fpZoLDGMdMGU/uXQWu6rncGnp/4BaDHaQ83V8KI2vFSfnfsS23E38Yu5PqVs50g3QSC9JgsZlShAI7T3189js3pFQUvEudcmdCD2tyYnj6M29mr7cayjKE6PtgQ0QsHfdswMfg+dp69kZM8vULNTMTIvOVmpqgqo/Gykv26drv78K3QgJpRiaxz1VZ65+H13u2cv2zSRAEBTlEBU1kgzQyzDJJ5Rs+FwdKceg3LRVAKDsT5AXfYhlVh2keetwTmXBfxxfVxNBnsFsH0vhW0fIi81D3V9kyd9Lmzwh0Uat3TuN7ZkFAn1Noo9ooCiPb+xHiX5uAEEMRnylWe/cy77amYBMjaMYBKcpDQiqnuBX8x9lU+4eTst9l7ryooBB+1CqwotLn2SkdgKPli/IdBlmBQ76SvHOof18Zf9G6lomAvWCOoGfjg5wz2wXH9m8G0fXEsAiCxSkwUHNU/TIJS7sneQHBwaCOgrN+OlYAfNpA4GVylLjwjU7ICovkNmB62A5yPr00aqb4MjpmAADEeI02216KhE0aJu74s6aihewBJK98iAdFasM0FDw2V0b+L31+ylSTfnnGg974HfKKn+4ZRc/OzTArVM9DfzYMQzT9Rz3z3VxUW8cHd4cEMRmv4cWL+bepdfwivb/yTbnepQqU1cKT9VZ79zHK9r+B0oLfjn/J9SU2yCYsspO1Hnq/GOVF7Mjf4OlyEI3gaXUElsTm+/m8PVhA4GIl4QyaTxnfvtKsyb/KsaqP0+Y1WNgkDHz1cmlj1rDdP0WevMXkjbNroQ63NOZ8x4M2jc8Z1sHjDUgACItlC9JIGHKma8/SFfujBXxYii4XdCbezGTtRusdzWz/bgO7PpROrZimHvGqr+iP/9yECICYodLNiCwrQM2IMjsQyq5hbPx32etnNmRv47Hqi/L7E82EMgCCfbYq3iSX89/hLLq4NXt/4P18i48VQ8Dc6tscm7kFe3/g4fLl3L/0stS7oFG2WAf53bP8ORiO6PVfAIEpOXEXdNd/ODgOv5o6x563MqysqhsWSpzusa71w/z+T0b8fxYvjXEVelGt0BaZkZWVG2tIrDL0saFG8trr+7j1Z89y4ArSWSXPPzjWWP1OUfHRMyA8jRaxFHakF4SQwIEpMnECygdbJ0rZBwzgBVPEJRJuPMhzFQkX9iznj/YuofPDm+j4uUy0aM9wDcWFvm9oRG+sG8jB8v5TH4SPCnNbyb6+PPjdnPrdB8mgthW3I4lXHwlonN7Kicy5v1nTi3dwEvb/i+O8NHAaP0Efjn3R5R1T4MAsoFAmnwV+E09pRNZzXylqYpOfO1SFLPUdU8idsCsakASbqkbPsOPo8TTit/8Tjw/Q3DbZKKZ7d/Bbn1hBgWtKTk7mKj9kqo/Q9HtgfCdlNDRdr/R/ZYSjKLnlWK6didb2j4WtFNLjhqp3dnBdO1GlA4i5rXWgeIkiB2QIg7Cg2RSIqN8jUIzICLgNaBF/ymGcu88TK4C6nbPZc/S/2UgfxlaO0EUP+EzRYBApBXLkAQJmrq/wJK/lzW5NyZcBM3iBVqRr4PtoLPiB+zfrfpQYn2/AQUqWDnjUmNB9cblNOnv6d+m/0O8uqfmwX1Ll/Nk9UJOL/2aUwu/QAiN0pJ99TP54cxfUlWFhEXAjuRPg4+ANC/um+CTu7ZH/zWTXQA7F0t8ds9GPrh1Hz84uJ49lY7l30XV+f3Nu/nqvvVMlp2E5bOVVSDpYm3Ok5IgTSI4qaN0xFqLYAdEgqV+Rp4+G7QaM3DkdEyAAd9XOG7jqgCIEWyziFggUvQmoCXo7DqSxEppRCi9tSIKJhRSM7JU4Ov71vPBzbv5wr6tLKh8JDQgGUT4gq4pzu+Z5lO7tzBfd1JIWyf4Sbyfljy20MGJHQs8udQVld9sRmEsBAVXUvZy3Lv4ch6Qr0iWGYKH+HtrILBsG2jNntp5bHTvYrd3eXReKY0KhboSQfwAjsQIYVs5ZMUIZJ07PL6CZlQKnDBvT3/uFRyqXcsm5+0oEQTyBcFOOpF4xwYCxiqw6D9Ju7sDKdwVBQ6mBY8UBTT1qHzCIDPHAgEiTP8EsZKP+dFxXoHwm07U4RJSJBXBSkkIGVouHqI3f2ZUtr1QUQmrz1r1ozUcql5Pf/6yIKmCAU8ZLoAjpaivpABBVh8KYgZosAoAbMzdy97aOcH1qtE8n/5uUzNAALBIB3cuvbnheqDBfJ+2tqX52FxYZPdSGxXVuHVxWoYZ+TVZy/OJp7bwwW37eXCuwi0zaxKyyOa1TdT4g817+faBdexdLKJU45Js86y0VcDUeTP5ZfOkwo4TBBHrKLBQE8hb39eJ/rtKz106JowiJjgwsaxFrQwIpCkd6ZyOHbDPm4Gzd7HIF/Zu4A827WFrYS7hr/OVJofHFUPDbCwt8andWxNAwDb3Gcri9+6ZHs7sjJNz2IIjGYXc3OyYZfbPEkpHSvvrpzHoPhKXm1IEcRCYcR2kzM6GJ2uGtxKyc9ovR74KEteU/X14ygNi/3jwPT6yqmK2fh/duRc08pDx7OYzkMbztjzUWJasBD9xHEOkFxt4FJkpjlfKX3fuHOa8+2MrBK3rJwZKigXvcTqcU0O+jl7Ap90F9vlWfci+T6XApNIw6D7CgfrpR85XWF7aZZBW9OlzzdKXZwGSM7tmuWemZ0X82PKirBw+tXMzvbka792wl4KoN/CxubDABzfv4esHhti5UEoGTOt45p/OxxKca/78ZjyBkcPBbyOro2Xgz6JlYDXp0JHTMWEZSCtU02FXCgRsN0DWngQ6nMJppdEivsZYB7TSjJbz/O1TW3jXplFe3D/JHdO9LCnJie2LnNw5zw9H1/HYQkfLdbutaF8lz0C+2mB1yFouZAurZpQWPpmBgSqe/ayEFlUfbWImMMuHClqFszMZWgeM2d5MeaVVl3D0s8dmexfYJISgwzmZRf8JuuUpKEGQmClTSdvBe1BVhyjK9dHs3DJgN60nczZIW6yjxENpUmgc2wyfqMeV1otGazP/Ojz+AHJiDXU1nc1fCxYWvF3hngHNG8Bp8i6OECtu90SdKJ3Zf+wlqYbs7x1ijFk1yOGQPdbs32kLgT37NtelAXv6fBZtKFb4QTnmcTmZYcswpOB7I+s4oXOJj2zZy5OL7Ty60EFBKs7vmQHgk7u3sFB30Eo1TG6gceZvy62s+Cr7OtMmaWunccOGdzYt45kkR0ha7fmykvufr3RsgAEza7FAQPC7cQDZSPdIUZ5xFYgQICgRxBeUlcMX9m5gXbHGWV1zlBzNzqUSPx4bQNNo7js8apFOVqV9+ApHOiue5TdzDzRTHlm7oGWRCv2+wXeTVQ6MIIh8whn3rZSyrALpbWuzqM3ZzpK3k+7cKSt+VvyIQNkaa7itcNNkAwGAshqmKNdHOyA2Ix3ee7gz7JKzhUX/KdqcExL8mTKb8WeoWdNqrRt2bLOB0pK/lzbnuMPiVcq4/bMAQdZGRYYSMQUZlLlSIXFt7KqKnmcp8rRSXw4QZwGBrGsa+cg+L4QBpytv//Sk5v/P3nuHW3KUd/6fqu4+6cYJd3IeJZRQQBJKjAISCDDIZNuAEAaMCU5re9c/79p47V3W64S92NjYGIHJILLICAkUkJBgJKE8Oee5+YTurvr9UV3d1X363LkzI2k1LO/znOec06mqu6ve91tvfGKiwV9Nrea0/ilO7psiVJKv7l3AnnY1vyjReQ1AL03lkcj1LYD8nMz5ZQmR8moh81qxX9Czl04IMADdQKCMysKVZgsIlOpOtmNRuPtfSMH+TpXvHBjpOj89h6NHw5YxzpYpzYaO1iTgXresjWKVu6Otenek1WEv4WDf4UxageJiwBMNYpqz7psVrH3eGiajxxkIzkBpugRur3MBBIq9ra+ytN7t4GdL8ab/Z9kvKTA2fW18Mkaq69g6/VFWN04yngeZ+X5WfZyON1Dzls1YTbGMYt3EE90VM70kqiDfZyPkYt0NCErvcbbj+UjjRwpUbNJ+u9vS85+GFaqrFShun4mKd+wK+aPhHRrBo5P9PDqZ+ZGUaQIg73vyVFIRpLjanTKzw9NJx+tA+IvQwhOQZiN0j0YzkKojSybMkYofHS1ZM4RrsvCSPPqzpWNhbDMNdLvPLwCC9CMEPi1iglKmPptHna7yLfBJzpnpPRWBQFErUCyFa+8j0ocIxPCRO0V+EoxU17Gv/Q1i3UzvSZSs8u22DAhodrc+x2BwNnVvJBH+xmQx07MpK4c8k1ahIucwJ7iIna1PIlDpsbPpI7TZ2/4qI5Wr0/0yPba7QSFEcg9QlcOE6lCu/LH7Pj1hyxM778J5v73eca/tM2kNjnRch36qort0sSU7xmczH54K8kraC5WkIo5fUs6GFz2TanpLxxJh8lTQL/IMHDudsGCgjI5U9rbMX6DrGsdR4302bRW3236u6ZtiazO/8ipjImXbelEvAV88pnhcr2svCX7Gvvg5uWOKh1oB3bNPMwCCsk/umILgL17XXlMIGI8eZCg4PSeUbX/dT7o9Oc+X/SyuvZKt0x+krfanx9nrusLV7ov0IbZO/zNVuYgF1XVdQMBqBYRtE7oAgL0/d0vuHEcwz69eTJ+3li3T/0RHHZixj7afkT7ElukPsqD6UqrecG5/r2fj0kDwnDR/Qq6PMnv2LiBw3+9M77jrmFmMHXutsn1SwJ7odFZUHuq6Vq+xXjYnLM3WZNbV114gJ9m+abrBKf2TKbCF8kWCS2XbZ1UW+gjHdPEk57m5+462rPgv6KmlMAzZuXMnDzzwAE8++SSjo6NP6fVPGDNBkXqp1Y4EAsqYTdmqyD2vuL+sDasOdfsz0yTMaQWE4LK5h/jW/oXmv8OgygFBhuF6CfqibdSXeWeoIhWBQFErIIXg1Nrt/Lj55lRQpKaNEru+y+RcUkqn9mOZqJhd9b/1Kne3yZJ2XK2AfRyeNMI01mOEapSat7hrde6+Sq0zNbzWSa0KAQPBWiryTexofpZADjMneD51b1Uu65/SIZPRRkbDHxOpCZbUX0HdW5Zbbaf9LwECxb64xxo1a+K5oEXqs+KaC+ZXL6HfX8Ou1s1IqsypXETDW4sUFef+FE21ndHOj2ir/Syv/wo1b1EGZmb5bKTWVL15aDpE+iC+mGfGiTXdFeze0tlnntWxveMi2bFjrqFTE4WUxjwghSBGsy26hEtqH+DJ9qXm+OSFHOuccPeXORm6VPQt8GW346EnBT+ZmMv1C3bys4nB9H7dVf5seccRj8n5KQh6+ShIKWy9zRlV+7NdZOU1Xc8ccPh5MxNs3LiRm266iVtvvZX777+fMAxz+5csWcIVV1zB9ddfzyte8Qp8/9hF+gkHBlzv69nY2crQtpCkCTLy20W2X4iu8+050K2ejC1TUm4+g5n7ZK+1qNqiKjUHonqpFqBsFdPrd/FclxEdaZUz0/XmeltQukKLESR2ZZus9oR5HnkB3cO5L2VS3buKQsNlIjMBAQtWkqfO7tbnWFJ7ebJCzlbnkLfb25h6UzdIoDSpsK35I6ztfxfT8XYOd37M3vYtub4KJA1vNQur1x5RwBaBgP1fRonr4qwAQd1fxJq+d9CO93E4vJ8D7e+jiXDX7jVvCfMqz6fhr+rqo30dR3o2ts3FtVewq/lZVjbegUCkgEAmxaBInr/1FTied2z+F06Wrv+B+S+TSCDTX4GSglANMq3nsih4gj3hKdlNJ3Ssc6JsX1n0j0m1IboiENzjDocVIi1YXmuyvVVP/SGOlne4zw3yfMgeF8dJ6ejEh0onNaGFNNqmuCTGVwqBKhR465XDpatvz6DwL5I3g/Zwtuc/G+hHP/oRf/Inf8Ktt96KUopKpcIZZ5zBwoULmTt3Ls1mk0OHDvH444/ziU98gk9+8pMsWLCAd7/73fze7/0e9Xq3f8+R6IQAA0IYAW1JK9JV5Uwhg+n5RxikLihwBb6UwjB22c2kFldbLKm3mYh8Nk3VAZlORCAHCnq1CVCRml9btpNP7FpRaruaSfj7JcfPhmaKKuhqRwg8obik72Pc1Xy3Efwym3CeyIR/mT2/m5K2ZwAFaV9K1MK9gIAnjZA9HN5BzVtEX7Ay2ZdX0+euj8iy75EJPpOVzwjcPn85ff7yUo/onCo+3TazacD9D/lnZAEAAoROmHcPQOD2seYvYLF/XU+vbRcEuH20+ywIcO/HfTa2zX5/Cf3+Wg52bmVu5WrQidOeFlAABMnNJTdmvtyQ1LSdHu+4+GzsdT1PILVIsl6ahFfQrR14oP16XlD/G74R/1faSaXQmeZIr8iCIznVuudn80YSqzidS1EJYAD48r6l3Lh0C+/ftBqSDJ4we97hCYGHZmVjijmViH3tKtubVUCAzKaWUOa/kAIda0SSOTAV9on2xLxn85yzaIAjazrLNK8uv36WyNcThl7/+tfzuc99jgULFvCe97yH1772tZx//vlUKpXS47dv3863v/1tPv7xj/Onf/qnfPCDH+Q//uM/uPLKK4+q3RMDDDjC2gh+s12qDBDYfWXnQn6QuloBVwMghUiv7bZpf3tCcFr/FC9duIe97Rq72nWW11u8bMEe9nWqfGvfCPs71S5Q4JI7kSWat6zYzvcPjnAorOI56u5eAr/ie6XbnyrVWBEISCF4fuOTbOysY1rPJ/CswxsEnky1A4HMgEDg3GNvKggM6AIG+dWPPbwcCEgB0/FjTEYPs6bvN3JAwLUnuz3SkApeK/iyTIGZwCU5zu1e0RRQJmCLQMCTeVDgXkslz8smH5LJytdEMmhiMkDwVPfRfQ05cW6fDSCEJlaCxbVr2TT1b0xFP6PPPxO0GQfEqgAI0qv0BH693i+Uj50sPFGDJwljReABcdKs/S0FHTXM452X8Pz6R/nh1FuBxLRQIpTL1P0zmemKx8VKU0nKCdtt7nl+j3amVIVvH1jI21ZuSyoUdi8oyp+VYG7Q4UUL9rOk1mLjVB9jcYVT+w+xpNrkG/sX8vB4fwoIXO2ATjIFCilS7UBZgokUMMzAX2cCAWUag2eCpDw+Xvhs8IW4//77+fCHP8wb3/hGPJtWdQZavnw5v/7rv86v//qvs2HDBv7iL/6Cu+++++cTDOS8kaVrW8uSXLiDtuv8GYCA/W2AgMhpA4QQeL5ESEHFE7xqyW4G/YiP7FxDU+Uf3ZLKFK9asodYCb6xb4QdrURN0xXyZvoy4EW8ecV27h2dw88mh0s1At0fU7eg6ssEGMjcKr24ygSyJEBHoC7mlwjas2rfQArF5ujKFAgE0moCjCDwEoFr97vCuutdaEzqYGH9Bop9tc+p+/1lauRuINCKN7G//S3W9P8mvvRS00VRIAO5cDyrttY9QIE1H4CRNWV0JBDg/vekyK3Q0+effGvMSi0HApJ49Kejj1Dux5DhC9NukrkJkKzuezMbJj+IFBXq3ikpIJA2J0fyjjOa+f1CBvKAzAekMH5sDYowTq6ZAAIpIQBQ5rkE0sCr7fHFDMstnFv/Ej9tXu801uMhJVQKjkvmGCRjN7meBQRxAto7UZyb03GBP8VK80RziEAq3rN6Cx/ZtpyxKMjutQAAwGgkr1u4n6qM+d7Bhdy8ty/X36qMefnITs4eGOOzO5fQkQItBR6SGGV4nDa1Mqx2wJgVyGkH7KLrSPy1FwjI5SB4BgXsz4PPwGOPPTYrEFBGJ510EjfddBNxHB/1uScGGPAk0pPpCijNo44ZhFq5ma+6yR2oReRnV/3mQwoApCdToNAfaN66YhsPTg5xy4H5yYDLVgUAuzp9fHTXGub5Ta4e2cecoMP68SEeGBvgcGjVO5r5lTaXzB3l5L5JvrR3KdtbjR6CP1v9V3yZagQ8Z5sFAr6IWFZ5mBF/M4FoMq0GORCdxL74ZCJlBpULCtx+2//pb2cVfW79Swx4+7m39fbEwzy/+rd+AoGUGVDwRE5Qu2TU3mZ1mxYXcoCBbbdIvUCAwAiv6fgJ9re/zpr+36Aia5kPgywXyObFJ4l/kuJFVvi6AtestB2hWza2LEZ1VO0zaQNSjUVyfrpoTq6vhcDUDErUtyrfp2IfrYmjVx/zGohyEFDcZvqR/LfPQppCSwYQVFjb/xtsmPwXRioRDf/01GSQVWAqagny9+tSzglUOJEIhYOlSlKGe6CUSFClEV8hILUmsAAhUX0/FL6ecysf5YLGZ/hJ67XEKn1hPakMAAhiFgYbWeBvoCFHiXSVA9FqdkVn0lEVPKHpoAwgANqRSsC70Rp0IpW7H9eX4OGpOezvVPn1FdvZ3Gzwo8Nz2d0K0rcx5IecPTTBuYNjTEQ+3zu4gH1hA4CKn39WkRJ8Yf9Kzu47xLvXbOFDW1YwiSSOFEJZ/meemZYglRHWEnoCAmuWLaMy3lp0vH4mi//Y6oPHSkXA9n+DjhUIHO81TgwwkA60ZHAJk2Pbk0mGQDJQUEZFtFquFSDTGNiVry8Zrih+c9U2vnVwEZtbg1T8vJBzVY2x0oyqBp/duxKfiLMGxvjlxXsZ9MM049zhMGD9xBy+eWBRwiy6tQAVX+K7At/ZXvWlAQeeJBAh5zRuYXmwnh3huRxUpxLqBlVxmJWV9TzP+zRjagmPtl/IvnBN6mcBBhyUPmshqHuTXFr/Vw6rVQkQEIkGQOB7FgQYwW+BQCClWaEl2gsrqMveg0akjN3zyAGD7nefPGeHMbvXHwvvZSy6jzX9v0lF1vGkEXqezDQD1s+g2B+tzT6lywWu0pntfKYUEK6qfSZtgO13Cga0SjXpnnlA6TixoABJl5ag6Ftg76VXH4v9s8+xTINRfD6uZkDY3kmNFDVO7n8Hm6b+nVCPMqdySeo4h/XpKYC+IvV6tyS3Uj5+jA1eJQ/HOBBa8WU1BYIACI2OnJ923sypwdd4Yd9fc8f0bzAVDx5xLljhN+Jv4bTqd5nj7eBAfAr74tM4FJ2OL5rM8zfw3NpX2B2dwQOtlwMVYtnNg6yGoOpL2okpwQIES/vCBh/YtpZT+ia5NllM2Fc6GQc8NjnATTtXEeLnFiO9zBsPN+cxFld495ot/POWFYzmWL1CK4GQpgU7hsoAgaHemsUiCEgdU10e6c2AvH5Bzxo6McCAbwSzJeFm10omhQUFpeeXIFYr7F3zgPQkni/xPIn0JXMrit9cvZUv71/OnrCPekV2qdOLucgzxB/w04l5/HRiXu647Pxu50AXCLj/K77XBQQWVzbx/PpHeTJ8Md9r/TkyhegwAeyLnkfc0QzLbZxW/TbPr3+MzZ2L2BReylQ8WPqcqrLFqdXvsTq4h5+038BBdVpO9W+BQCC7gUDgGcBgmHjEVPQYU/EGIj2KwCOQ8+nzTqbhrTYZ+qVIkyy5wKD0/TkrRSskBDF72l9C6w4n970DKf0UAHiC1HyQmgrse3d4p9JZGt6yVbfNZGdXyUWsWVxNlwlYTyTaJrtdK8NxtUK3QtSkCRWS/QGiFiCExDP2LCP8hVk9lmkJUhNH0ole/bN97AUAitEF6b0KAwhiDUJqYouQ7JPxqqztezvbm19gZ/PTLK69GoGfvFsyUHDU71YxHW9mOt5AR+1HE+GLIRreWvr95xB4AUoLpDDVC5MrYQGB1RRkgAAeD1/Gvug0ru77W7aF5/JY+1paqtzjuuFNsDq4mzWVHzGhFvFE51pGO2vS+Wr7fFidxRPtV7BU/ojrBv6Ce6bfwO7w1J5ctROp3Kq14stCITHJxuYgG5uDpXVDPGl8RMpMivbb5Ue7o0G+uM/jnau28S9bVrBfedgSw17CT2NUai5In6IDCJLXWP7uShZX6X+n3zp+5lbbPw9mgjLqdDp86Utf4sc//jGjo6OlZgAhBB/+8IePuQ2hn8X1JcfHxxkaGuK8P/oCXq0vX21L51Nu2tuYyYkwFxngAAHPF6lZwAKCOTXNu1Zv5Yv7VnBQ9aWrdL9ksHVXFswDhF5UnNQuEKhYwV8CBM6o38rqyn3c0343kRhKVc8u2WZtYRdUm6Xej1kV3IUvphmLlzCmFqJ0QE2OM8/bgi86bA5fwObwMoTwEoE6eyAAIYfD7zMRPcRQcBaD/qlU5Fw0Ma14L+PRE0xGT1KTy5hXeQFVb1FaPc8+pV6RDvb2hICO2s2u1meYX72E+ZWLjCAReSCQfQtH+DlqcOc56eQ71rqreiCQbisj19ZeJmRtXwSAilBTHToPHyDaPYWoSbx+YyNWkxGqFeMvbFA9Yy5ioG40BUImfTPAJe7RP3Mv3X08Uv9coOI+Z/f5uG3HWhOr/LfScLB9P/va32dJ7XXUvKXH9F5DtY9DnR/QVNvo99cy6J9K1VuIxKejDjMRPcFo+CAD/mnMq7wQrStEygCCMNaEShPGKvdtKxuGSbVPUKzw7mZN5fso7XMgXkVLDSFFxKDcx7C3g1DX2B49n+3R80HW0udYNs/sM0KNc1H1n9gZnsGDzRcTKlPVdLoTJxVO47SyYCdSXfyiV12D4vMqMyW6++017PU7kWKu1+TVC7bwT5tXcLDtoSJFHCeVYOOkGmx0fDzVBQCWr9r1Sdya4ifveyVjY2MMDpYvRI6XrKz4/c/fS7VxbCW+AdrTk/z1qy98Wvt6tLR161auueYaNm7cOGNKaSHEMfkKWDoxNAOeWa3j2aIbIJRAC42SOqcpEJ7oemCu6io1AzhAINUUJECgr6J5Z6IRsEDACuMyzUCsNJ7qrl5WROoulU3uIhBwHQYNEBA8v+/T1GSHuzr/Bd/zqcpyJmWFm1SgtCAWNXbqy9jWuhRBTJ/YTb/cj0fEWLyaxzu/REgDKcB3HQEFaVa5MiBQTQBMW29hT+vzjFRfwNL6f8IvqAYbwVzm6OegNEyGm9nX/hahnmRucDkD/ploW4WvhNtadbFiin3tb9JR+1jVdwM1OTcV+KlWQHaDAiuI0aTJ0oVprGsVboVYXNAMWFVq19h0hGgvISu0QjfbtO7fixptU3vOIPWzFqbXR6vERCCI9rSZ/uFOZH+V2vNGEI0anvSTfpiVeU6TkTSudA+HzR79y5ksrLbC9qXwfKSUKJ2YLUycY+ZQqARCaOZVz6ffX8O26c/ii0EWVF+CLwfS51lmx7VagMnoUQ52foAnayysXkG//5oU4FmqM8RQdRVL1DUc7NzPlul/YFH1l6l5a8krtfMaAiVMGGIgJVJolBZsiy9lW/NSpJ5mjreNmpgg1j57w3OY7CxBkwBhr3sO9AIDYTzIXZ0/5MzgE1za91HunHoTJCt/S9Zc4EYeWCr68RT32e8iryjTEBS1lGNRg5v3reQ3V23lA5tXMtrlMKGMJIjIaQhAlPLUIj8FM289T2bmVufl6V+YCY6Lfvd3f5cNGzbwxje+kbe85S0sW7bsuJIL9aITAgz4FQ+/4qUINY4UWvYGBWXG01wegQIQsA6Dni+pBvDu1dv4xoGl7I/7qVe8HBCo+IlDXk7Q52ucu8jfHlemfnInsQsEzASXBY2A4AX9H6PNHB6I3kjVl7lwvqLZM639Ls2KyYICmdham3o5Tb08U0d6xs7qeu5bJmjb6QUExqI7mIge4qT+d1Lz+3NMU1BYhWsYqq6mP1hNJx5nf+eHbJ7+DnVvNUP+OdS9FQiRDUutY6bjzYyG99JR+1lYu5bh4NWpyr8MCPhWMyAwq/FDU3SeGCU+kC9c5M2vU1k7hJzfMAI3AQWpE58mrdonethNcytvcPqVgZBwwyHaPztI/exhgvMGQCtE3E5uMBMKQkiCBZJg0Qjh3pCpb2+jcuocglPn4nkBWpjIlljnow7Mc55d/8pAgDowSWfjGPH+wvOZW6NyyjBynnk+UkqMjdm0J7TxI4gTx8K6mMNJ/W9nLHycHc2b8OUc5gQX0vDWdL3TZryN8egBpuONDPinsbrv16h4w6Zfgq4xRDKOlBAsrF3AcHA6myb/g4a/lTnBVXgyiSs0d43rQxB4JmSP2F430ZbRxyjPIY6T+ZmAtzIgbMdar7kmBUgleDR6I6vl17ii/0PcNvk2qHTbRzqRcTQsLiCgXE1dxieKvMLuL/Ike85op4+vHlzBb67axj9sWsXULACBfZL5t5D8K/BT6WcRWF0J3dTxO8TNljzH7+RYz3+20a233srVV1/NRz/60ae1nRMDDAQefuBlq39pfAR6gYJeaq0sDKYcCHi+4K0rt3Pn2AJ2RYPUKx6NipdT19uB5qYyjZVMQECcTsBOpNKJWVbVzL1OtwNht2ng0r6P02Iem9QrqfqCmud68CfMQGSpXl0g4Ik8KIBEW6A10uFsbiRBkQmWAQFPwP7OlxFEnDpgQvpcxz13TlogYGrRJ6GHcpCl3ktZXL2OyXgzY+GD7Gt/PS3ZZGFd3VvJgto6+rxluaQ+bv88mTxLqxVAocamad29GyRUT+6nflZfLmY6PhjSfvgAaiKi+tz5+MsHy0EBSerbkrHphgkm8sQIC61Q0y1aP9yJHPAZuGYhQsSIuANxZACB1hkYSJNneCAjghEf/5oFtH42wfS3t9K4fAmiz2gJpIDYrtRF5vdQRrLQNxcERDvGaK8/gOzzqKztp37WAEJkquH4YEj7gf2oUFN//iLkcINA+kjXiUKKvB+BhOHKaQwFpzIV7+Jw5372t79d8k6XMVw5m+XeK5AloaBHGkNC9HHK4NvZNvUV9rY/x4LKq6n55YBAqQTVeTZ2X+QjWLwMAJeNfxs+60bTuGTSJIMXa0Kh2Rq/jBV8ncv7P8IPJ99C7HevjO2iwaUy7UAvPuFqDosmA8NvZMKLMrXx/k4/3x9dzNtWbeOfNq+krURXhAG+w0udpG4ulZkDjFYg07DmwED8zIGBn4c8A0VSSnHuuec+7e2cEGCgLxDoQKarXQsEwPwXQhObmAIj7JLJbW2oLghw1Vg2h4AduK9cvI9trX42tOfmgEC94qfC2VXLuSaAdhI6ZECASrcfqQ562QTPAQFfck7jFoQM2BS/Et8zQKDqSwLP1Q6QPA/z7QKBUCikFslv6+FNCgxcyiVFchhhKRAIv0hF9rGscV26Gg88kXrQu5TZ4kWipchAgZKSYW8tg8HaVB3pKn0h7+BWjBLwrWe1EATSCLvw8f20HztM34Vz8AZlInzDVD0rhETMk/jzh1ChoPWzcbN6f/4i5Nw+vMReL0jU84AoeYXu6tUKXFREtH2M1n37aFwwF3+eDypExBHEEULFoCIjlB0woIVEKAnSB6kQnk/9rH6iUc3Ud7ZTO2c+/sohhPTxhUwjHtLIgxLKgYCkb/FYi9bdu5B9Hn2XzUNWhemPamdmAiGRc8G/eJh4QjP9w50Ea4eonL4AX/ogk3wJDiBIow6ERmtBv1hKn7ck7YtV3lvqBezcd1vEONaEIxVIIVnZ/wp2TX+Pve1Ps7D6+jTHQDZ6MmdCY9UwIECp7myIUA6Cs2gaFxAk96TMXJNKIIVCJvN8W/wS1orP8bzGF7h36pVd7XSiOOdAaLUEZeaUssVCmbNxLzOBvQbAts4wQ1NtXrt0D5/cschpxTGtJJAt5Q+emDUvtaDAS3hERWha0S/MBMdDF198MY8++ujT3s4JAQZuXLmDOf1VpmOP7x+Yz8MTJsbWZNYyjjAeMtUSWP7qdam2yKmy7OCVvuT84UnmVSJuPrCceiUTxvWK72gHZC4O2k6QTpwBAfNtVHdWU9ALEBQneRkQWFt7kIX+Ju4NfzfVCFR9Sc2Xufj+ogOR0hov1imjCmOVhn3b6CeV3Eeaf6AgcK1KtOgs6EvBwfBb+KKSAoFA5oVyKnxwnciS3BCJalkmfg1uljutuwVvKnAFadigBRyuo2AgARXTuncnuhUycPV8BNlqXBSdb4QAz0f6Po3zhognYqbv3o23oEH13IUI38vs9ZQZnwqOd1qhw5D2j/egpkMGrlmE8FTWvooh7iBUohlQBWcfIUD6aK0QOvn2FP5whYEXLmD6x4cJt09Su3gxwvfTyINZ9y0K6Ty4n2jnJI0L5+ENSAMCoiiNcHCfkRYCISL8Pp/+K+fRfGCS5p07qF2yFN8L8qEHMp+PoPg+lSZNiHSk9+lGYRTHkdLgaQgTMwXAksbV7Jj6FgfDrzK/8nLKfAiUIFEaJJoB78hjv2geK+a5gGyuBVrTTrQDlp6MXs05/gc4qXYvG1oXpsLeTUrk0tHyiJypoMCXYu1qHoz+35ok1k8v4KVzt/L8OeP86LDrJJcHBEYrkPTDGWFFPur6WwkpOHWgyQtHDtDvx3SUxw93V/kuzwz9PEYT/K//9b+4/PLL+fznP8+rX/3qp62dEwIMfO7AWuREH32izZVz93D5vAN8fPsyxsMMcaYmBKETUJCfVGnYS+ovINPf86oxL164nw/vPiUnjK1GoOJL6oFHXU5wZv17LPQfRxLTVINsDi9iU/t5hEqkgACsXdDL+RO4k73bKUg6NkDzGfJGObf2BW5v/0mqBXCBgLXZF9WpxhGuO/RKJd7UUotUtVnMF58l+OnhK+BJpuIHCdUe1va/OQcEAtt3kQmglBJ7t/FYIAUCNn49DZmDNNFPej8lCX3KgIDQitY9OxFS0bhgOC+ErQBO+qSFRIgkiF8q8BRev0//VQtob5pm6pZN1C9ehDfSZ/punQ2LlIW4EB+apnnHLqqnDNA4d9AIWqsNiEPTH2X6o8MOSsWZKkdKRGIiEL4PXgW0nwl6r0LfxfNob28y9bXN1C9djDe/Mfu+HZymeecuKqv76H/hIoQK889Hq0xb4bwzC06k59M4d4DWY9O07thB7bJlXYDAzUdg0ycjjvw+3QRRqUOo867dcaStM6PIzHQAy/pexMaJTzAR3U+/dz5mvCuTj8BJXWzHflxY6UIeAFttQG4OpKGz2W1LYUL1IqXBJ/HJMRRrzU/D3+Dy6n/nYLyaWM9P97UT/tALEBRX9G7SMXex4AnNmupPWFP5EQ05hsZjb3Qyj7avZkIMOcLNsHrLi75xaDlvXvQEG6fq7FV+GnIo7RtKcrmUVqSkm496vqRR0bxp+S5iJF8/uJwJVcWTgjCc5Jmin0cw8NWvfpUrr7yS173udaxbt45zzz2XoaGhruOEEPy3//bfjrmdpzW08H3vex9f+MIXeOyxx6jX61xyySX85V/+JaeeeuqszrfhIq//0G1UGv2pnW1FdYLr5u3kg1tWcMgJlUlDYpywGEtuDQJ3AHu+5J2rtvG9Q4s4pAdS80C94tFfC8zvwOOk2o85q/p1Hglfzj51DoqAujjISu92Fns/5Y7pt3EgXEInNqFD7cRnwJoNZjYTZCjf9RO4bvCveajzelpyDVVf0ggkVd9LtQO+FLTVFg50vkWsWwgh0Tqm4Z3M/OrVoGu50CulNWGs03BD178AXBNBpg51MwvWfI9Yj7Gz9WFOHfhtql7FgIBEWxBIgS8AFaFVjB5rgQIxVEP4XqoKj3XClFIfAqv+TUwEPdTxRt2dqZFdweGhaD+yD32oSeO8wUzQxWEigKMkyY9joxcSLX0j8KQHnp/+V22YvvcgohFQv2ABVILMrl8gHUW01+8n3tekcfF8vLrI2iwAAcIOOupweDLmkYMVDrXMNedUY06b22Z+v4fwA6hUTb+8CtoLsr55FVRLMfWjg3jDVWrnjUDg9+5bJ6L9k73Eh9s0nl/SN2uyUFEKmLJJk4AB+4z8AO1VaD44CbWA6jmL0NIn1hAmQkaTaIAK4Y8zvc9iBIggc/7UcYwebYFIxpHnQdJmrI1WLlKm/U4c8tj4P7C0/kYk80x4YWzGf6wx2rGScW/HvgUsRguQj54xQqLN4fA2JqNHEcLDpM8KGKlcS81bi9LQimLakaKV8IDpMKaidnBO5cN8ffyPaEV5/pB9ynlEkT/YZGQVXzLX38+6/g+xL34Om8KraIsRJCELvZ/xnOCLPNZ+IY82L6ETK5qdmOlOzGQrTH/36yleNn8H79+0gjhKzK+z4KPFlO6eLxmoKt69ehvfPbiYLZ2htL8AnelJPv32K56R0MI//epPqPUde2hha2qSP/ul855VoYVSzs7M8qwOLbz99tt517vexQUXXEAURfzxH/8x1157LY888gh9fX2zvo4VkHYlsK09wOf3LudtK7bxtxtX05Eizb2dKggL9nA3C6EbG3ta/xSTccD+uJ+K76JuL514KyvrOblyB7e1/wRExUxQIGKEJ+JXsSl8AZc13s8dUzeyV69I0Xs78RruRGBquRQdhjIv4KKn8IrKA0yqRUyJ1VS9pB6AyBiULwWj0Q+Zih5jReP1VL05ACgVczh8iC3TH2Bp7VcJ5BJS22lMWtjFUBZJ4JLrKGWBQCDNqmhv+/Msq78WXwakWdCE1SKAjkPCRw7QeXIUb04FpCA+3MGbW6V24WJEtWJWsVKkjmckK0kvya6XJtKx787pl2tPltiVJcQHpog2jdF/1QiosHw1HsegYuOkB+D7jt2+kmX/A2TVp3/dQjo7W0x+cxvBigEqp81B1IKsY52IzpOjdDaMUT1tiNpZC5F2he0AAaygDTvEYYe7tnlMdTzOHprgoqEmAjgQ1li/b4DgkOCy5aGZmBVju7dvSmA0GrLm03/FAjrbm0x+fSvBmiGqpwxB1elbO6T9xCjhpnGqZ86hft6cvOAvmi2UMaO4z0h4XmKySNaHsUAISe3sASZvP4i/ZBJv4SACYz5D2jS7YG1Safhj4X26CZCsn4ANxxRaodsd2vfvJdrXNONIQ3yoTbB6gMpZI3h+FTDaKI3JJRDIgJV9v8r26c+xvP4OM0akThweMw2BGXp6xnGfpds28zHUe9nV/A8W1K5iSe1aZDKGOvEY25ufpxZvZW7lKgIpUdL4zIXKpEdu6WUcik9mbfUentQXZa8o50CYz/lnyXUSdIHAfH83V/T/C3e1fouWWGj6LARQ5YA+n9vbz+WC4B8ItW9MFL5O+ZE1F4x1Guzp1Dh3aIqfjvWnKYtzGQhL+GgRCEgJv7FyO1/au5QDaiBnvvClQJQ4UD5d5CZzO9bzj4Z+8IMf8Fd/9Vfcf//97N69my9+8Ytcf/316X6tNX/2Z3/Ghz70IQ4fPsxFF13EP/7jP3LGGWfMuo3vf//7R9epY6SnFQx885vfzP3/yEc+woIFC7j//vt5wQteMOvruF78cTLQ9nUa3Ds2jxctOMDX9hj1W9dALlBZqeJrRw7wub0r8Lzy9L+BiDi//gW+1/wTAr+aehpD5pkcyRF+2Pp91vX9b746/t/A93PZxrLB2T3Sum2ChgGdXbuFu1q/i+c7DMrLfBaa8SamosdZ2/dW/CS9m2GuHvPkOfT5q9k09S+sqL8dTw6aMrMehDHIXg/I9slRl7oMsaW244kKA8EKw8AhDeETJGr6H+8Greh/8ZKc6aKzs8XUN7bQ96KViHq1JyCwKmQ3gU4xcY61KVtTAVrR+tFuGhfPT0LeVGYacNTyOlXLh0YtD0bgmQGRClshFDoR6pWlNfwlSwi3TTN92050pEzcdVLxLVjVT/+LlyGkztTtycf+F0kf4rDD97cELK42uWR4DJQywheYL0OuGmmxYaqf727u59rVbSNwEg2GUHHSt8gAA+lTXdEgWN4g3DzF1K070bFKvb+FJ6ms6af/umVIlBHwduVfphGIEm2OfUYyNiFh0jMe5laTEkcI6dN38Xwmf7iHvpf14XnGb0EnzoxKG0CgdPf7LEuCJESmGRCA7oRMfXMr1ecMGRBjk99oTetnY7Tu3k390mVI6acAIhbGR6HPX0RFzqEZb6Qm1+bGPWnJ49mNe2sa0Eyxq/kfrO5/KzU5J53PQkBNDLGm7y1snrqJ6fgx6vI0QgmeMkAlTO7z8eh6Lqv+Tza2n5/O++5qhrPjD75QrOv/ED9o/i6RnJ/kUCjyJZ97O+/iytp72dY+m46sUPUlnUjiSZUuPG47vIhfXbSJn46Z1bQtWqRJykIX+uOaCSw/vWrkIA9PDrE3MguqLmfrZxQMPLNmgqmpKZ773Ody44038qpXvapr///+3/+bv/3bv+Wmm27ilFNO4S/+4i+45pprePzxxxkYGJhVG+vWrTuqPh0rPaM+A2NjYwDMnTv3qM5zw0Vcm9pPJubyruVP8PV9800FVWlKddpziurvYtrMhmcY8bSu4FaK9mQGPtZU72dLdClpJrJEWJs/QKLujsQwT3Su4pTq7TzYvDrtq61lXuZEWAwLsm32yQO09QCxHMBPV0/JijhBvrub32Jl3xuR0iPrTlbzvioHWVZ7DXvbX2Fx9Q3IxIvaE+YYI4jNeV1OVDKzm0qZrOKAw+HtLKpdk3qAywSYWEev+MA0aqxD37oFiSDMnmllaQ1RmUfzrl00rlppvPlJ1I6Y/PUa7bh9ZZMyvb/CKlJghEe0ZxI5EOD1+ZAL3UvS/saJkItCpkJBzdN4PuioQ7L8Rqgo8eaPs1W49EErpJBUVvVRWW0mr1ZOBTfbjvVcdVbeFghYdffGQ5I+GXHawCREyrTv+AzoCE7qm2QiCnjsoMfpi2LzHIXTNynTdpC+6dvafionDfbuWw6gRF2/hdYGCEQhcRzTjAR9fgyeQvggtNEQuOfJWg1/fo1o5wTB8mEEiekteXq2foLN01CsimiBgKvhkQmwa969m9rZcwkWV3PhlwKonzXM5J37ifZO4i8aRAqZjAfScbmodg3bp7/E0tra/LjXOuULbmjhkcb9vvYtLKm/gpqcY8ZdYb55UrC8/lo2Tv0bK+qn5Zz5LMAIVZ1JtZghuZNQLk75wdHyB08KTq7exdbwItrMIxD5fAg5viQqbAyv5KTaj3hoel16TZc6BDRjnzlBxEGV5XKxoLIXH3W/L5wzxge2nozNg1P0h3omw/WeaTBw3XXXcd1115Xu01rz/ve/nz/+4z/mla80ESUf/ehHWbhwIZ/85Cf5jd/4jWPu59NBzxhk01rze7/3e1x22WWceeaZpce0223Gx8dznxmviWBvu8a8IEy3WZsW4BQ46iYhBSvrTTY3G7nt7mDwpGDE28De6DmJ4Cvvh52E26KLWV55IF1JQ3fmNXeCl15LCpYGj7M7OmuGG9doQgKZIUtXeIJ5Dn3BKjrqAKBTjQNkK2s3jNBliMX7stRRB6h5i502krYTxt554hDVM4Yyj3TXRg/4C6rojkJNtXPXTcMHyRyzLIMvtuEeb9voPHGI6qmD+fas4NIaVIyOFd/a2sddu+p8aWM/+6cwgljFPfubE6JWKGllYvFLtrsOirntACrm4QMB588bN/1JVuC51XjyffbwOI8dqph9cVy4TomAP5q+qUJ+AwcsHZrWfGlDPz/aVeMbW/pQyXa3D+6zqpwyQPjE4QQw5d9d+m5F73dpTQUusNOtED3ZIVhS7+q/pdqZc0y7uCak7HdVziPW4xzNuHepuK2ldtLvn5K2Y8Zg/hhfNozPDlEOCLi0OzqLpRUTIlac/90Oxb2F0vJgPZvDS3rud2lfdDoj3sbStixtavaxujENZALepZn4aL8XcTgMUGT9/3mgohxqt9tHPqlAmzdvZs+ePVx77bXptmq1yrp167jrrruO+np33XUXb3/727nwwgs59dRTueCCC3j729/OHXfccdTXKqNnDAy8+93v5sEHH+RTn/pUz2Pe9773MTQ0lH6WL18OZI4+ZQ42oRYETqWwo/GH7PMiJqO8csRtwxSIUWg8VJKDHZK87E47Jk+7pq2reLRz+6KSPh+JGvIQU3pez/3aZlBxqOj1q9NVTwPF0Q1kuzrKXV+38URtxvPUZIgcqqVx+WXkL6wTH2ofUYC4v4vCw90OoMbayGFHt+MK9IT2TXsMBIoXLp/gxSvHuX9v4V7KQID7OxGEbuhdV6iiI7Dd/0JrWmFMRSqjMbWCvwd5Avr9mKm225bqFozH0rcZtv1kX50XLp/g6uWTzK9F7JrsoThMzvMGAvR0ZNqzH0fwuoKakt9lFB9u4Y2UFxBKrzFYSQs89SJfDhHr2Xux9xJ2WitMbk5DdjoX5xuApIqm07OOxZSeT0MeKvTz6IVnRUzT0ZnPVS++ZPppvKlcKvLRychPtaRHS4HURE7KwrLaLMXIrqeTpAOmjuVjx8Hy5ctzsuh973vfUfdlz549ACxcuDC3feHChem+2dLv//7vc/nll/Nv//Zv3HfffWzcuJH777+ff/u3f2PdunX83u/93lH3r0jPCBh4z3vew1e+8hW+//3vs2zZsp7H/dEf/RFjY2PpZ/v27UCWrausuMeiaou9zaTYSzLorKpLJQOxbDBqpZmMffq8qGtyuOGAB6MVzJEbEu93TRTr3HWVzuyhc+U2xuLFaZ/LwMuRihcBxNrHwzA7c3273cgRITwUnbSYiE688RW20E5yjxpiPYXQ1bT/x0qKEJEzpuAUyEmc7vqCjEknNmbr5a6FMDbnUCECYwsvewyuAJktnxQinws918dke9XTTIYShEeofeNrMEsv3a72XMFbJqBLqBUJGlamSJk6MQpZnp2tEWiaUe8HIHq0M2PfjkCehFAbADAZedSCRB1cLDnYI3JhJprt+xSBRHfiJPJE5MdRsk1NxYg+E93hDiH3t6SConPU/QTy80RIlA7NPLTtlMw3BUR6AqENkFGOYLb8xyMkUmYQuNlJ3f8z8YeUJ8XLmCs3przHJlEq40vDcgMHohVdaY/da/b7EdNJlsCy7K29+KhWmtHQZ16l3cWXywq3PROU+jgdxwdg+/btOVn0R3/0R8fcpyJvmiljaBl97GMf42//9m859dRT+dSnPsXu3buJoog9e/bw6U9/mtNOO42///u/52Mf+9gx9xGeZjCgtebd7343X/jCF7j11ltZvXr1jMdXq1UGBwdzHzBet24VLjvAllcn2duuECnSMBgXCLjkhsrYfVumaqyqG/VYcTDbz+PN81kb3J6E56m0SpvSxlvYVkMLleb0ypd5pHVVKTq2vy3NBBQOx0sYktvzx2vS+OgwVtTlasbDR1DYxCc2pIu0wtxEuJGKXAgiyyDmhhX2Quw25M8ljwaxNs9KaRcIJM9UQ7BmDp0nx00YmsPIdeIIp7Ug2j2Nt6B7VZPKr9IezUxd5xSACNJjuAEjDcWXNg3wg519XLSkne5L+3rEhtTM/2egekUyHYk8CEjASPo7+RaeRzMS1CtHsWo8ir6kZJ0TPQ8hPS5YEnL3ngZf3jzMQBXm95u+5d5lkYk9BVphnYQhakDObRAfaJlkRQVAYH93nhwjWDOchi66ANhSpCfwxexDzLr5RSJolabmLWc8eiQNf3XnmwXZ450NVOSSJITRDZtN+JHWDMjt6WIBunlAkT8Uhavd/kjzCs6ofi3hBUnIsOrmS2GsOCX4Lo+3nu/wTdUlrFfVptg4Vc8BgdnyUaVg63Sdk+oTuf7a8En7OdGoKIeq1epRX2PRIpPhsagF2LdvX5e2YCb64Ac/yPLly7nnnnt43etel567YMECXvva13L33XezbNky/umf/umo++jS0woG3vWud/Hxj3+cT37ykwwMDLBnzx727NlDs9k88skOhUnsfseJ3Rcq5JcX7eKLuxbm4mKV89v9WLK/tdJMxx6BVARJdi6bVtiWHI2UZjKss7H9PM6qfNEpjarSyWZLp54cfJdpNcSezvKuCQwu8le5bWWTfWfnFBb5j6SVBy3yzwS5Zti/lj3tr9OKRrPSsukH2vEou1pfYKTy8pRhpQzOAQLueZCf/C4jI7GHuvvTWHIMI/cWD6BainD3NDZ2PwUCCFo/OUBw6lyE76fM3yQ26SbL2GZLGmcVKa3wSFL7+j7Cr3DeUs0vn9ri5ae0GOoz24Tnda0+j2XlW0qOVqTqQVtJlJCIoGKEvl8BPzAf6SWgwEMLj4nQp78q0/7pp6pPOFoaV8hKj4Ga5JdObnH9qS0uWBIipGf62rU6d35r0hX6TK+r+D6NINc57ZLSRgtROXOE5j17zdhxx5H0ifZ3iMdC/OXDKfC117HAwIznJoK8RszNMWCpOPZdIW7n2/zKS9nbuoVmfCAtXpXuB9rRBLtbX2R+5aW5lXqss/uKlWaJ/yA7wtO7VsvlmkmV7it+DkWLOBAt49QgAwRlfOnk4BZ2hKczFg70XOwEQjHghxzu+Okz0AVeUOSjLiCII8WXd43w8kV7qIow5dPuJ4yfOTBgnZqP5/NU0erVq1m0aBHf+c530m2dTofbb7+dSy6Znc8HwM9+9jNe9apX9Yw+GBwc5JWvfCUPP/zwcfX3aQUDH/zgBxkbG+OKK65g8eLF6eczn/nMUV2nE5mkGfZbqpC3Ld/M53cuZLRlMuvZutzaGaj2A6RAAUhRrVaaOw7N4eLhA11aBxfd3jd5LVUOck7lk4Rxm1aSVMTUS29xTuWTzJNPcPvEr85g0nAnePbb/M9rDiJqhLpKlQOEsSKytdqVnfgapassrr2BLdP/yuHOA0SxIlYQxYqDnfvYMv2vLKm9AXSf8XdQpEDBBQIulZkR3NQINbmcqWhLonnQSfIgxzaooXHlKtoPj9J88DAqBC094vGYqdv3QMWnevoCk5jGUa9qnQELyAuN/G+d264SQeQNV1GHO92ryKToEEKC7xuB61eMELZx9NLrFoxw7ICgeF4KUDxWD8c8MVZPNACJFiABASIBBcLz2DhZY8VglGktjkQzaQW6tCSye3vyfERQSZ+P8CuIoJI9H/ssZXZOPBEi+4umo5kRXBnIU2TagVhD5eR5yMEaU9/bSTzaQUsPFQmaPxuluf4gjatWohBp4iEXDCsNzXg3VbkwB07csW2BdZffT06IZ3MGXWNJ7Qa2TX+EA+17iOI4mWuaw+2fsXn6n1lY/RW0aqSLg0woGwEdMA46Zlr150wEeQ1ikS/kAYGbyOzuyVfTL/ZwfvUmtGoSKp3ypUhFnFH5LMNiK/dM/lLKxzpR7Pw21zpv4AA/Ojyc55vFBZXDS+02FxBMhZJPbFvEW5dvIdCdUkDwTJFHFnl1TJ+jbG9ycpL169ezfv16wDgNrl+/nm3btiGE4Hd+53f4n//zf/LFL36Rn/3sZ7z5zW+m0Wjwq7/6q0fVzpHm1dGYHXrR0xpa+FQlN2x2FIFnBu+a+gTXL9rDp7cvZMNEvRsIFCa9SbNplx9kxVKkAQj3Hhrkj07ZzB2HR4iVSCedcSgxTjW+FHx37AbO7LuLF/f9OYfj5UypeQx4+xiUu3moeQ2Pt15DJzITOsoBi2xCu2TCiExv3JAiW7Dk4da1PKfyddZ33pQyqjBWxrkvSehSEwtYUn0XY9H32N++NUlQo+nzTmNF/T1oXSFUKmVqoQOI7KrHJRuGZR6SALIQLKk0g/6FHArvZKCyOivxq03xoVhj6gn4ksZ1awk3HWb6zr3ojkIOBtTONal9XSBg/R16AQGXNIm3uf3hkL98kHDHFN6c4VSwC88HrdHSTwv0UKgBngIAFzRYgQfdgvQoAILJ6y/TtMfC8zhzQYcvP15jZX+LelBJohwyxy3hebRFhYcONvilk1sIr55bhed9MJy+zLJftvCSWcmrrH/SN+GPqNwzKj4fCwwsaAq3T+EvH+jp/2GpbJ/SpMl/TIieGT9SmPFRPWcR/sEpWg8fQI11EBVJsHqYvpcuBiFSDUBRK6C15lDnRwz6Fybt6Kx4lwOE7T6Xusa/UgRIQhSemMeK+m9zOLydTVMfAGEceetyNcvr70SpWprt0K7MXa3AqcG3eKR1dc8Vei8+gRNsC8ZkWk0SmX1v7AZObdzHNX3vY0ItYDxeRF2OMs/bzKOtddzZvJ5O5Go7VW7Bg4q5cOgw/+vJVbnFkuWlQJeWIHWzcXhpjGLjeJVPb1/Ib67czC37FvHE9GAaWRB2TjwzwWzpvvvu48orr0z/W0e+G264gZtuuok//MM/pNls8s53vjNNOvTtb3971jkGAM4880xuvvlm/vzP/5z+/m7T18TEBDfffPNRJTIqoxOiNsG5/QdZNDTOyX2T7G5V+bsnVzAVytLUmWU2LiADBc4gVkIjlOA7++axbs5evj+6xCk2pHLhPiB5YOISHm1eyrC3mwFvnLHo+YyrBbnVcT7NaJZitLcTTQpPUlAQK822zumcV/8iHhOE8UDq3BLGGimScyJF4FUY9l/C3CAvIY16tBsI5FT/xZ7o7kpusWXW2thO97Z3E6s2UlYTdWlS3UzqpLiQiSEL1s6lsjbLJ2FBgFEPZ+aBMiBgu2a7YgWH+8S85Joa8JcNMPXAPmpnz02EuckPoKWXK5ubc/IrU3k7WoHjUstLaVQmDmkh8H2PF6wM+c62IV68fJSKzDsQRki+s22QS5Z1qFQrXer8lI6lb0Jm9y+leYhCGzW8MomEej4fm65Z5oFTtGOKxrUL0ibc9+e+1/QZ9HivFhDYDA8WEMh5fTRekPmX2LETq8QvJlnFxw4gCFXEVLyJ+cH1XSYCS2VAuHiMCwikFklCRY9B7yqG/avz51mNncrMhha8h0ohdYsl/oPcPfmKnFYAKAUC5bwi4xN2seJLwePTz2ND6wIG5D6G/UNMxv0cjpcSK3JaAKsVcBcqFw/t5weH5hDFZpa4Plfmfc3ET0HHGq1MFkIkbBqv8rdPrOD6ZQd40YJ9PDHZx2hYYUP4DJoJjjOvwdGee8UVV8y46BVC8N73vpf3vve9x9ynd7zjHdx4441cfPHFvPe972XdunXMnz+fAwcOcNttt/Fnf/Zn7Nixg//+3//7MbcBJwgYaEbw2HiNW3bNpROLxK5lgEAcqRx67aUxVegcICD5bbQDA/zhKVu5e7RNqGqpWiuLmY2IlZek8hR05CL2Yct/lnvPuhEJlmKVFSDJ/1Z40itoBwQPNF/KGZWv8GDn11LmIoUkVBqXOSgBUhYnbbezoMsEi7ZTMGqylCE62gGlBJ5n+jwUXMTBzj0sqL0Ak+jJtCN0ot2QhumnWdrSp5Rc1gECsdKF7fn+aA29tF862ak0eL6PHKwSj7bxBj1nxStNaJhd3dpYe1fYF5wcu7QCx0pCGmFbUMWP9EdcsDjk69vmcOniKUZqxuP9YLvCHbsanLc4ZPGgMCaMQh9mZTIo9sEKdnvf2HeijPYCmQIChMw/n8KzcYGAmoqh5iMqfs5foDj9igDP/S1EOSAwr1Z0VWNMwUAi/DWO82yixj7cuZ9B/zwzNqyQzfkEuKCg+5H1mgPmBPPlzjV3nuU0A0qn9RqeU7mFh5rXEitzLZdPpH0p+V+kWMXYWgU2778tyd2R8znYmZ8cl3e4LjMP+KrD2QNj/KWjFei1sCrjqTa0UkpMGuNECE9qwae2LiQQirUDLYaCiOnODGqjp5h65Y44mvOfbXTDDTewfv16/v7v/57Xvva1AEgp0/GtteY973kPN9xww3G1c0KAgXsP9OPXTHIgCwKKgzZb1HQPPFuK0wICSEwIkGTsE9y8ayEvW7Cbz+xZma7Qy7xg45KEIGUgwN1ePBbImwZKfsdKs7lzDs+t3+JoB7wCEDDfStj86xkVC7IUixPZ7ZCh4ViTqy6X9llrpDZq1CH/Ara1/g/zK5cnQAAHCOS4e2lITS8fgV7g2gUEOrkvO2GV09/KKXPobBilfv68bMULmWZAG4GoXc5WAAQ5x8PiMcdKjqkAjClg6VDMtdUW9+2u8aO2GdcDFcXVq9sM1mR3hEOZzb+MrOCfDSXaAY1KAQFadd+7/XgZENBC0NkwSuXkuXmwcpRmQftui4BACZDJWHXHkDt+jFe/1Tjp1P/kUHgXy2rvSOeT6zRrqagVyK1+ZR6+xrFJYSxlwiuEwK0F44LtrCCY8SdQWiN1k6X+en40aarJFZ2Fi4uGXvwiTyqpd2LKIUM+2U/e7ynucr7uRIrrR3bzlb0LzPPJ8dHZ8VQHUqbpzV2zQQw8MmrCLKPWVMn5v6Cjob/7u7/jVa96FR/5yEdYv3494+PjDA4Ocu6553LDDTdw+eWXH3cbJwQYULFCJWrXom+AHbSpp2uJHdCmaM0AATntAAg2Tta5duFBFgTTHIyMatIVzJm2QJaCAfNdPrHL/QWK6UfLtQPrm7/EmZWv8EDn15JyxKY+gVLaZiJImVXXcyuoScuqtbn/U6DkrIxsMRelSFKvBtTlKiajjQxWTkp9B7TIvmOlk1VnNxM5EhAo5rAvo6LfgAa8xf20frwnEVYqzaWfCjAr9FxK7e/HsBqYRSifFoK0om2yOree+/01WLcyHwdvowlSrQDMzlzhgoCZAIG9JsnjS+ZBr2eTAhKZ1xQgJOHuJn3nmTC5Ulnhdm+G99sLEMQkINA52R07sXIAQaJtmoq2U5UL8ESNSHc7Cbp0pLmQ0whAJuwKj8kF2qnzYBKCbLQCX+eh1nWAzPGH8pV/Ob8oJ+MwbPlRt5YhL/xdrcAcr8WwH/LIeB/ari6tFqBgGujJV9Phb9oWSUEorfIZYIGUdz8TdLwRAU9lNMFTTZdddhmXXXbZ03b9EwIMxJFCOKv0MuTaK+uXtYPncrbbfTntANy8cwGvW7aHj+xckwMAQFJ9UOFJ3QUGID+RjzSpXSBQRPSQByFbOmdzbv3LCN0kVnWk0EmojiQAQtt/nVePFW2lReepYl72bHteOxDrvL0+Vprh4FIOht9iIDgprScgbGU4JZIiNborZavtz5GAwNFQKmuFQA5ViMc6eAPZitqaC8qEXi5ywNUK9BKms8jiV0oFdb0tjtT1dFIgUIhomMmBsUz4H23OgRKw5AKBHKgSAjUdIxtBdzKioyAXFJQBAqBr/LhlkW1GUEWmFTjYvpPh4PJUg1Skoq/ATPNBKd2lJTA76DrHLQ2e5SHRoEOW+j/lx1MvT+dzPty43JRYRmUaA8M7VNE9Jd1vhX/RhHndot18cY8Tku1oBSzNtMByt7mgwC60dGy0gikffAajCaQo124ezfn/r9IJAQbcEEHXjlUcrL1MBC4gcAdtUTuwr1WhFUsWBE0Oxo38BE7Kf/aiXqaBssldBgSK18oqmsFj7XWsCW5nY/TihAmKVHWfs+3rzAGw6BswUzjhkexkVjUfJ9evyoWE6qBRuQuZ2m8VJFUDrROY7hJ4LhAotnG85C/pJ9rXwhvsN6YCxxHOXQXnyPUTKKOZVtpHyDqYO9S1x5MBgp7US/C7K/jZagR69YfkcirrV1f7JQAp2tvEW5yv6THTYlaI3magtD8FQGCumT/JAgE73rT9nQizptrJApFlOHXDYvOCP992McQQSLVvUork+IzXuHMs74+T/Y6VZoV/JxvalxJrGznktHkEc8BMfKN43Exmy7xDs2bYa+Gh2T5d7dIKlNHR8lajJTDPy2oGnqqostnQM+1A+HTQtm3bAFi6dCme56X/Z0MrVqw45nZPDDCg8poAuw1mHqx2uztoi6SSyWS/v7N/PlfO38/n9q7oUul5jsDvbSo4GlVf/txiLW3bzsb2xbxk8K/ZGL2YWGmk0EhFUo5VO4AAUlunu5jpAQTSdmYBCFzSQFUuZzreSb9cbvzkhMZLDAPa6VJZi/bRzIZHuN0SkKtPUCRvTo3wyUNAEn6TquZllr73CCr0UioK2mIdg+S7mCK4qz7AESjVCszUF6VAkpZbzvWv7B7L+tqzA4V2iyAp2R+PdkxIoXuoKHfIOxKVzUsLCIqXs0DArRNiqaP2U5ULEUJ01QM5ln6llQ5zZoO8g2ERCLhaAaVhdXAX3554T3bNWWgMj7S/aGLsBRB6fS6bf4Dv7M/qnrh5WFyN60wAIT3X8mDrzuJoCYDUyVAdywv4f5hWrVqFEIJHH32UU045Jf1/JBJCEEXRMbd7YoAB7fLcmUGAW4Jz1tdX2tSoV5qt0zUWVdupvXs2an9LxwoEilEFQFraFKCjK4S6gtSTkKRYtcwndZFTOKuYjI4EBODYPGjr3nKa8Q76g+XpNtud1BGMbrXbbB7N0djt3CNF1UP3imlOtQOzUFkWPPDTbWXHFfcllQGLx/eqJTAr6rHqFzpht0UgMIu2cv2RcubnUnAq1KFCVLpNBKJEBWB9Su0u6aTGLpLVDpSRO25S7RIZKGjGO6h7y7vOKyNvlsDFBcl5LQHpNvdY10fHowMoQt2gLMHYsVIvAFA8pttR0fgRrKpP8+mdmYlgJirjse5vy2OLCy7XR6t4ztNNPw8+A29605sQQjA0NJT7/3TTiQEGCvasMmZSBgqOBhC4tLVZZ3Flmr1Rfw6B28lVVPPPZBaw5xxLdTJ7PU8K9kUnMc/bzEF9Vs6j3iXLsOzvp5N8MUxbbU3/F5360j7l1L69r1c2Ce0mKUov3QU0dDuC4Bi9/xOBK6xHfXG1PdN5kFUVVAVgcBSFgsx1dLm6Xhubvnbdtm1/3WNn2d/c79kAJOccEQh0qNJn5GoFjA8OaW6Kslc+G4ZbNm6sVqDrWCDUYwRibum1PJGZ+mcCI2VUBgjsb7u/OK5jpRmSWzgUr85tOxZytRy+w2/KQ5S7tZPuYmZBpc2uVpV0AZHQbHnFTDy2DBD83yCbSfB4zv+/TTfddNOM/58uOs64qWee3In8dA24LdM1ltZaRzyul1ewpdmUL55t/e9JNUKfPJBjPKV1BGaB+GfsT0l3isw7mf6UGwF609HgIRcIuP0QIpGDyQEuUIgPt/CGsnKzPQV1UUB3lRzucZx73bR0sCq9fr6csCqco7PMgypOP242wpnOLWofuvo7U58paAXKwEvZuc63N1xFHczXF+n1ao1pJ/kteq/87f5jITljD5JjZHf8uRXsR6MZm2l+uZv75EEm1PxZX/doqTt6oHwR4tKSaovtzfpTulAorXJYAFtPhT/QL+jppxMCDDzTg8mWNu5Fs0X5fpIl7EhagayedvfrsGBBI5GongL1WJNl2PNcxxmZJO4wDLS8jViP4Yvh9H+v5ov9df9b4SBE+f9UiNDtK5DTFiRCLNo2QbC0Ly/UisKtuDIuro4dgVkqZB0AkBPURSBQFMxFIGBBgEsJICieL3ReSHcBgmKfjqHPPTUGhecotMZfVCPcMZld230nQiRgLQORLiCAblBQ/C9FEQS6vwsCPfkbiEFCPQpkc2Ymv9Ai6O01f451XiVuytl1SvIBdLVVsm+2PORIFCtNnx8xER27MvhoNK2WZz/TvPvZVKjoqSLP8/jzP//zGY/5y7/8S7zjiO6BE8RMMJsXZGxU3fasY6Gq1IS6Nyc50oSeCSzMhilA3qzgCUFDHmZSLwWy51Hm+VrcltZSn+EZZiuk3v2xjNX2ezrezEh1XQ5NZkK8t5Of2Z/0zXlMRWGQbif//ntpBVSzg27HyD4PYYWsK8iUs7IuUKqWT3XJ+fa7TyjXKqTXLhPkBSCgXSCgVPqArQLXRBs4AACwWQIRMm8ymE2f3X53AZ8ez8QmSrKmCGsWqEnQGjUVIvtlaiqwqn2FQGqdMxe4gMC+9+IYmWlKyETVr3V2f1kKY6j7Kxhr3sKc4AWpb0LeMVZnF8EJjZPiqOaIS8UVtmsu6eg5DMpdpdcq4xG9kpD1otlqFN3jIyUIpDK+D871i//T7bMwqfTisymPEoJufdfTR3ZhdTznP9vIjaZ7OumE0Ay45KK34kAUUqQfd5s9rxfZY+z3wmqbQ2FWv7psgGSredE1AHsNqOL2ma5b3L/A38ioWpP+t7ukKF/dp8fJmUNtikCgqBWw/+0+Q5pWvJOaXJz2wcaEuy1ZYV32Sc8r+eAcl75rkQGBMq1A+yf7qJ45p3tFrKI8ECjst9tz+5TzKTm+bH/ZtTPzQdQNBOz5UWg0BFEISiX7jqAhcPut4u4+xVF3n+OotM8zPZM8iMrvq501h/b9e3PagbJhVtQQzPa99xov9np504Og5s2now8gyDQVR1rVp2P+CPOj135renDnoCfM/D0Ur2S+v8nMn5L5bDWBvXjHTDyk+zqii2/4JXxkf6fK4lqW6Mq9rzzPLP7P/56Jz0KZ9ubZJ2B/3mj//v3U6/XjusYJoRmAvOcqZKi1uL3sHPd/3jE6m+ju98l90/xobKTnBCtOMhfR2/+zVQe6JoJeTMEXMQ05SlPPIfBEjvFYKqr0XYr1zAyvCASKJGXWlgCm1WP0+SchpUAkWgCRMnWR/naFeZGOtOJwQQB0A4EUEGhFfGAaNRkSLK47wjEyAqwMCBQpWfEKTeKEF2eJf+JshZwem1BOE2C/ewjtFAhEISqO2TIesGE0oBWZdqqeZs1Qm7XDIdJTIGNQSaljp5KggC5PDUGhz8V+F+65tN8lz0Qk9RW0fQHO8/NHqrQfHSPeO4W3yIQZiiR3gasdgMyhEGb/3ouUJSlKUmCTjDkt0MLUKhjwT2c8epAB/xwzfxSmjoDKQGxRO2AjC2YzP4qUnqeSCBopULFxoAtFH4Fo4dFBiSBd7fsFnpFrR3aHDfbsUwmvKIs0cK+1s9PHi0f2AJkm1dSAMMcLkaRddrUGDp/t5aNVtuA6Hs3s8dDPQzQBwMc+9rHc//Xr13dtA4jjmB07dvCRj3yEM88887jaPCHAgBXihmdnwt9N/jHT4JMij2KtEEuv72gahnyj1ArxqTjC3wUCM63we0UZFI/rpc6ybaXHCMGqyr1sD89Pha0UyYolWZG4q/hyOrKKKacB6KEVMP3VHGh/l5WNG5BkWgHbFyFIz51pXnlCzJhnwAUB5n85ENCdiOadu+i7YlEGBKxATlbI7nYoONBBPnrAtmeBAYDuoegs2ufttYtAIOygVYyOFZtHJev311nZ3+aSkVH6fHPedCR5YrzBlzb0cda8FifNCSFI7jNKzAZCgS3JrFWWDKgIZtL+lfS7CABmeib2WajEdEGUAAMfoSX1C+cxdese+q6rIarGcVMKmTMXAKnJADJQ0It6jRk7XpTWJh+HLfqDBQaCkeo6Nk39C4P+cxE4gFnqXD0BK8Cdu52xT+a+SkCySECKFARgQIF5CSgp2BZezMm1O3mkeUVuvkc5QW+zn5VnJi0K9rLfZf/L9sXKo6U85lVC9rd8wxOTKABZaMu8fpHy2dnwWHNeXsPg8uxngn4eogkA3vzmN2dySQi+/OUv8+Uvf7nrOGs+qNfrx1UZEU4QMCC9ZAWfQ63loCB3XmGAmmRzyWo20Qq4JgIpBVfOP8Bdo/NKzQBl6jgoR/m9kH3x3DJ1oduOFJozat/i+9N/hOdlKvwgAQqBJ3qu6HtRWf7/XkDAagU8adjrZPwADW8FNW8opxWwKzUXCLj2fZe0s2LsRS4IMH0tAQJxSPMHO6g9dw6yLhOnvMiYBgpAQKiofCXsZAZMBWyyvQgQshtQXb97aQN0YhaYmI744c4GcyohL1t2EF9HRlNgCkxQB547FHLGAKwfHeKW0T4uX9pkqJ5oCagYQJDzGyDfZ9ufo+1zcT+ktR2005YGhFCmD4BX9amfP4/p72+ncc1KhGffUQYIoFtL0Ivy/if5A3XiLGDT3FpAoNHoRDtQkQ0G/FMZC3/MYHBhqh3It6tzK3qbVRPy/KNsbvQmc7NSawJPJtVFBZujdVxV/3Meb72AWIsZtQO9Vve9hH4vLaJ7vk2n7hYzunN0hGtHDvCpnYuTWgvCKM9IhL0ipx2wGoFe/gNlPDbdZ3l2p+u0X9AR6CMf+Qhgxv1b3vIWrr/+el7xild0Hed5HnPnzuXiiy9mzpw5x9XmCQEGjNBJBrQnkuplvUFB7tySQeruEyIDBUN+zCn9U3z38BIqfiaQq74R1hVfOhPP9RSmK93oTE5AvYBAlwZCCE6r3c7O6DyUaBA49skiECgzE2Sx36LL2Qm6zQxmWzcQkMIAAUWTA+3vcvLAbyGEqUFg+mK1GPbcbCWfvSFn/SWS0sN2ewmTcUGAvUYRCLR+tAd/QZ1gSWIesEAg9ReIHXNB5AhBJzxVJO/NOss5q+1UY9CDSkMQS7QBjxzwePJwg8sXjjHHb0MYkjoQ2m/pASG+9Hje8CFGoyq375jLyoEOZ48kiEG5hYxUBgocADBTn0VR8Oc0GoUY8uT6KSggM1EIzzepqLUiWFAlHu+jdcdOapcvNV0CvOScopbAY3bvG8jpEHQyZmSyEncBAdYUIGFx7RqemHw//f7pCPp7mwtsYyWPqncIYv64WDtzSymwQEAKPA1K1tgSXcYZte/yYPNakNncL2oHTMKxIwP67sWELOzPeJGtp1L1Je3IXH9za5Cr5+5lXhCxv+11aQcUZIAAna7sZ8tf7bNywZwsplZ9Gkkcp5ngmUjuMxtyyxHffvvt/PIv/zIvf/nLn9Y2Twgw4PkSz5cZWkUgROJhmaBYN+OVS2WDtOgrYP+/esluvnFgCRXfo+KbmuFFIFDxjQjrNg14KYMqAoOu+3Emck8gIAV1OcGplVv5XvNPCTxJIIXzLQikLFXpW0pXY1rjeSIHDrr6lGwqAwJmJaPZ3foUS+rX44tqah5wgYCXMBSrRegJBorb0pVZXhjY41IQAKAitIpp37sHEQiqpw3kzQCJeSAHDooOfMWbTwQsZELQdMvRErhUXGU7AjWvDYi5fUedxfUWL1tyGBmH6I4NK1TkIgoIEdJDE4IfMCwVL124m4cmh/nqpj5esKzJsNUSlIGC1FSQBzez6a/ZXDApJJkw8f28ZqDwjfSpndRPs6No3bmL2qVL0qaFE2XgiW4wWPauoXvc4LYpkkqQ0sw7IUjSYScgRFZYWn8NO1ufYEX97ahkRa60AxrcqzqdONK8MP+d43PaDpn8z9T+INkcX8sV1T9jS3gh49FwOve7QwXt++rNO4oAoExL4PIiy4c6CRCwn1v2L+E1S3fxr1tXEqJS7YDpesF/oLDoKpLLX11zq90GmWbimaBe5tejOf/ZRlZL8HTTCQEGpCeRnkRIMzC1SirlWZtWMiBVD9tfGRCwWgHrFXvWwCQKybb2QKoVsMLZAAMv/Q35yVxM+3kkYOBO5l5AwBPwgr5/4/72DQhZSTQBeSCQ1wyUrGjsgkXYIkO9HbhcZucCAU8alf+hzm3UvUUMBSenWgtPZpqAdJvIr+BzDneQcg+7coQs1Ky48soJheRaOo5p3bEL2e9RO2s47zCYmAdEHGYgIPHMV1HHCOA4Jkoc0HyJEXoyRkfglhCGbq1BjgorahcEqFjx4F7J1vE6ly8cZVg20Yk2QNvogThGF8eGlOB5Zr/0wA84u+8QK+s1frhjLkv6I85d0EF6CuFnwjWtaeCaCIrIuAgAElCURTbERAq0Ns9FeB5IiVAxIqiUAgEXENRPH6T12DjN72+nvm4ZInF6FELmgEDZu+4S/iWmC6ttQEhiEt8Ze0GLODACfzBYzVR0Evs732J+5cWgITCTsRwQlFBR+Kehtc4cCxBJGmKjN5PafINEaYUSGiF87mvfyGWND/HNiT8sFeCFlu2T6tpT5Bv2dxFYZFUKy9vYF/UzGVc4b3icHx8eQFutgErMBpA6F87EW4tagC7Tq32GMxR4e6rJ+jEdz/nPNvra177Gv//7v/OBD3yAJUuWdO3ftWsX7373u3nb297Gddddd8ztnBBgwGoG0roEwtTP1gkjsOU3rQmhSGWDVQiB50uEFMypKF62aC//sv0kKkGmEaikHy+nJeiy4zlgIEoBgcgBg9zxzkQuAoGKL/GE4Kz6dxjTKxjjFAIp8T3RBQRygKBkBkilE4embmCQ608Jw7PXlAKmooeZjjeytu+t5rm5JgKZBwKewKzeoxi1d4r4cAvdiRE1H2+4ilzQQHgyU0GTMPle5AAKNdWmedtOKmv7qazpnx0QCDuEnZAnDwo2jlWJFQRSg4ZQmz4v7Y84aU7IQM1ZeUO6Oi4r1VtcUVuhumtccM+eOicNTPOyJfsQcYjuJEAk6qDDMB9eCKnw14DwgwSgJD4QfsCgjHnJwg6PTw/xpQ19XLCwyfLhMPElIIs66NHXYn9t21NtxZOHfXZOVomUwBcmqVVHmeeyeijk1LktfBUj/Ar4xjFTa4Wg0q0hOG2Q9rZppr6xhb51SxED1cyUkb7rI79nHcWo/VPEh9voVoTwJXJeDW9hH8L3DZAU0nFKyACB9R9YWL2azdMfZTJaT79/TgoI7JyItQEFRzsfimSvJ6UkjDPNgJIi/T2l1rAvPoNzG1/lp9MvB1Sqwu9NRfV/N89w/+eOVd3lkl2KleYbB5fy9qVPsnGyziF84kiZgBEtcroN+6MsgVMvvpqChORbB8eXDOf/dfrHf/xHdu3aVQoEAJYsWcLmzZv5x3/8x/8HwIAnU3SplEYkwl8lpgIJKSiw2gKXXLVV0U/Ak3Djiu18ce9y8ILUR8ACgXrF7wICVvhBlgY41Qo4E7HoGZy7J0ddWLzuIn8DK4KfcnvrPxN4ohQIVH1JkJgZspWVAhRC+KY4jBSAKblUBAalz9mxt9nrNuONHOh8j7X970RKiSdJHAXNs/OTPgfS2KT1dJv2+n1Ee6fxF9Xw5laR/QG6rQi3jRH/ZB/4HpW1g/irhhC+zFazPdTxWsVETx6m/dhhGs9fgDcnSM0AqXOgCwTiDkQRKuqw4QA8uL/Oyf2TvHDkMJVCCpQIj+2tBnft7KOjJKfM6bB2uIXve3lhW0KuQN83CfftrdLwFNcu2k9dhEYbECX+AWHH/E40AzqyfgCum7uHjjoIv4KWEpGs2IVfAeC0+mFWN6a479AwDxzwed7CNov6YrRUM/Y1809QxFHM5vGAxw7V8Ik5qX+aF44cMgDJ0VSEeGyY6ucrG/o5fV6bU+e3kCqAiqsZ6AYE1RUNvKGAqdt2UjlpiOC0uQjH9NLzHUcR0dZxOhvG0J0Yf6SGNydAzg3QkSLaOUHrvn34I3Wq58xHNGr40u8CBJpk5e9JVjXewIapf0aKOg3vVNDknAo9L3EgLDUP5OeCgDRkVusIEAjhIYVAa1u3JDMPABBlWoIn45dzSeWvWVp5mO3t00EyIyDoxTPKopp68aNOpLq0BrHSpl18bt63gres2M4/bFpNy14LSYwxK1gNrHm++b7MxFNdMyyAfgZ9Bqw/1fGc/2yjBx54gJe97GUzHnPRRRfxta997bjaOSHAwHvWbKPeqLOnVeWBiSEem2gQxj1AAaTAAOhCqXbQSt/Y21+7ZA8/mxxmX9zvaAK6gUDFl1Q8iS8iFgUb6Zf7UPiMxUvYH63AE5JY6i5Q4MvukqpAF7L3pKDiSQa8Q1zS9zFua/4RgecbECCtiSAPBHwpCPUuDrVvo632IYSPQKJ0iBQVBvyzGQrOR1IzPhWIpARyt2dwGeNrxhvZ1/4qa/rfQSArBYdBx5ExAQLR5oO0fnqA+tnD1J87gCiqFleapBiqrelsnmTqm1uQDZ/K2iH8JX0Q5IejDhXRljHajx0mWNKg/9olZoUyCyDQbra4bVuVAdnmlxbuQOoYIqOa1yo2JgGM6nVVpcPq+RO0tceT00N8bVMfQ1XFyUNtlgwoE/dfQu1QsWnU48nRKgNBzKUjYwyIptEChHltgI46kIABHXbQsUIrhYrNta2TlQx8k4DID1L1PTZ9sR9QkTGXzouYjCusPzjIPbtrnDzcZs1wRM3XBhgUSMUxe6Z8nhwNONSssXqgxVULDlATCTiJMpOFfTY+cFq1ySmLxvjp+Fy+uanGVSua1AARJKYRSgCBkPhDAf3XLqb96DhTX91M5dRhKqsHoeLnVP86UsS7JulsHENNhQTL+mhcNA+v7nWZmFhahbOHCPe0mPr2NqpnziM4aV4KCIzjmzbmEmsK8ALW9r2NDZP/wkiVUkBQpLJ5AG3Gwp8wHj2A0m2kMONU6ZCKnM+8yhVUvGV40sMTygEBiWD2BOBxb+fdrKv/D6bUOzkULkgBgcsvelHXoiEBAFLAPH8Hc7ztSCKm9Dz2RyfTURU8KVKwYYBDPsX6gU6De8bm87qlu/jkzqWEyUPxSPyzJEfkqd0gAE7ta3Le8BiLa20E8P2ddW7veWdPLf285Blw6dChQyxYsGDGY+bPn8+BAweOq50TAgx8fO9aKvU+FgTTnD14mJcv3MNtB+dx96FBlBJdoAC6kbWrvrJA4NI5o1Q9zY8Pj1DxRcE8YEwDjYr57vemuKBxM3O9beyLn8OEWoQn2iwObucSuYl98ck81HoZ49FQDhT0SgRS/K54kqpocXX/P3B3+11obzADAY6vQNWX1HwPaLOnfTOaFotr19Hwl+YWSbFucqj9E7ZN/ws1uZT51WvwxFCmuitZDdktQsBE9FMOd+5gTf87qMhGAQgYRuRLAwRQMe37dxGPtRi4ZgFCKlBhPnTNCVOTFUnttAFqzxkimowIt0zRfviQsVN6iTt6klkmWNZH/9VLEEFin3dBgHUWLACBick239lc43lzx1jijxnv/aiTs9NrQFgbfeIrUJGSM/tizhyQHAqrbJro4yf7DYAZqChqnkJpwXQkmA4lgdSs7G/yoiWHCIiMsI9NNsGiNkBHHXS7hQojVKxQnRAv6iBjw6C15xP7FUQnwqv4yCCz5WsV57QEWsX0+4rL5nXo4LN5qo9bt9UJlaARaBq+QgpNK5ZMdkyY38Jah+f0jzN/Tiv1nejlw+A+GyFDzu/rsDce4paNc3nhqiZD/XkH0BwgSFb+Ukjqpw9SPWWAzqZJpr63Ax0r837B/JYCf2Gd2llD+IOB4wDaSaIy8uMHIFjg479wAdP3jRIfaFG9aAm+F6QaAqsZUEInfiE1Tur/DTZN/RuRP85w5YJUa6YBr8c8EAKUnmB/+7s0463MqVzA6sYNBF5fziY9Fe1md/ObaASLa6+h4iVZ4CKFMsiVWJsT2rrBnc33sK7xD3xn6g+YjPq7jNQz8QoXBDTkBGfXb2GR/xijahWjaiWxDlgmH+O82hcZU4u4v/kaJsRgeo040RpZzWXFlzzcnMey2jRXzD/I9/bPzek2UqfCQl8MjyjyUzhvaIJrFxxgW7OPBybn853RBgpB1Jnsesa/oNnTyMgIjz/++IzHPP7448ydO/e42hH6mUh6fIw0Pj7O0NAQr//QbVQa/alw1XHEujl7WFmb4uM7lrCvXUn9BnrV6S6qsE7rn+JFCw7w0d1rCRyfgHrFo17xqVe8FAisqT3M+fXP8VDnVzigz+pSJcVaMZeHOKPyBfZFp3Lf9PVE2ifW+RKiRXInty8iXjz4VzzUfjWjPIdAykQDYAGATIFArA+xs3UTi2vXMbd6Rprsx5LWSViQNsBgvPM4u1vfoioXMVJ9EVIMpMdZys6P2Nf+KrGeYnnjVwhkkIUzpmYBCKzKEkXrru3gaepn9iN0nMX54zjYCUGS6CEDBtJPbcr2GJ04guUyRRbT8pYBARVB2GE8AQLr5u9jmEkj7FwVPWQOemZgIPyKEX5BJXEiNNuQEqSH0jCtK7Ris1ps+IoaoXlmbmSA/V2iDVCtFnEYQbtFpTMNKiZUkijR4PseBNKo09t+Hao1vIqPV6uCH5g++oHxKQgqqW+B7S/SQ2toEzAVGefMqtT0yY4RXoV+puaKog+DG+pon01g2p8Q/dx6YCFXrWwyZ6AClSpIH+1VzLf0wPN7vlsAnTjbpZq6Xu+2pJZEOoY8Hy19Wo9OE08papcvAy8gVEZNHilNGJt8AmYOglIR25qfQ2vBotovg0kTVDoHlJ7kQOc7NONtLKy9iCH/NHxPJrkzyufaaPsJdjS/xNL6DfiM0IkVrUjRjhSt2HyHsSJUmgH9JOdUP853Jv+QZlxJ+QT0zkxov6tScU79qywNHuKRzvXs0+cgheziSUM8wnMrH+eB1vVsbJ1DJ1Y0OzHTnZhmJ6LZiWlHZlsYxfzaok3ceWgu68f6c7wU6K7B4GoGpGCkFvFrS3exu1PjtsOLiYWfAy+d6Uk+/fYrGBsbY3BwsOv+ngqysuLbD26mb2DgmK8zNTHBtWevflr7erT0hje8gc9//vPce++9nH322V37H3jgAS688EJe+cpX8qlPfeqY2zkhwMBbbvohXq0PgHakUnvYHK/JqxZs445Dc7nr0FA6iAHKihZZILC81uZXl+3k33asRXtBTgNgwUCj4lGveJxWv5dTqndwT+d3kLLeVQrVeBObmuahilku7+Dk4Jv8qHkDe8O1KK1zk91SOsGFSTd8zcDfsTF8IXv183IOgwYEeNQ8AwYQ4+xo/Str+m6gL1joePBnfbJ15FXCDLU2TGYsfJy9rW8TyLnMrbyAmlyaOgFpHTEWPcDB9vcZqV7B3OoFqRrSdRj0pQECnhT4KNoP7EZPdWicM4iIO7mwvpya1woGIQ1T9/w8KHCPsVSMhy/JLCjiTgoEpqfbfGNjlatG9jOgJ9GdlhHKnZYRzK6wg0zgJZ77ZaAgFbiQ96Jy1Oo5QWuBh4rRnRZEIaoTEjXbVFoTEEdMdQwIiDthcg2FkCZixq949FcUSI92tR+/XkUGPqJaywMCz8sBltI+lvSzCwQkWouuZwPmmUgPUamZdqt1pmQf392/iBetnqa/r2oAgVdBSz8DBFKa/847T9/vTO82qSPRFSpaGEMp6PAqNB+ZAiTV5y1BS59QGW/60GrmHECgteZgZz37Wt9hXuUFDAbnpSp/gFa8i0OdH9JWe1lYu4Yh/zmpn4zEzAFB+VyLFUxHB9gw+WGW1d+CZC6tyAhcCwpCpZNvxTwe4PTKV/nO1O/Tjv2crd8ll0/M97dyWd9H2BhexTZ1JVKYxUJZeeYwVqA7nO//PVvD83ikeTnN0IIBAwg6kWK6E9OJFDqOuHHJBr6wezEbp2qz5qXnD41zzcgBPr93OYdUX+YE7fg3dKYn+fc3X/6MgIHvPrSZvoFjb2NqYpwXnvXsAgMPPfQQF154IUEQ8Pu///tcc801LF26lJ07d/Ltb3+bv/mbvyEMQ+65555SsDBbOiHAwG98/E6qjmagHSk6CSiIooiXzt+B0vDZnYuJdIZk7SB2nV1GKiFvXbmNj+xcQ1NXUgBQLQECK2obeV7jC9zV+S/4MkjV9a5zjFJG2IdKE8Xmt1SjXFT9Z/ZGJ/HT5stNjDPkvJbt5PVFzNUDf8+28DK2xxfn8glUfZmCgJovCaRiW+sfWdX3OvqDJWkWQuuf46puVQIALKOKtQEsWmsmo+0c7NxJM96DcEKZBv0zmF+7HE/UckBACAsAMofBioRo5yjtB/fR/4L5yLidrtRzyX8suRntEkHRJTjscS7lkvnkgQAqQsQdhIqJWk1ueaLChXMPM19OoFtT6HYrAQLGTq9Co61QsUpCVSXCk8YD31l9Iz1EUFh5Q6ZNMBexAyADBHGcMwsQhcStNqrdoTY9ynQkaXUMCFBhZPwGYid8zpPIio8X+NSqkr6KolkbRFSq+LUKwmoEegGXYh9tP8v6mBRHmsmHQUiJrCTtVWrISg1RrTMqh/jhwfn80kkt/FoNAqsZyAMC1zTUMzyz7L26GoJSMJC04wcoGTB19xiVU+fir5hDjEzBQKQczQAZIIh0mwPtOxkLH0pnjUZRkyPMrVxKf7AqHf+ps2wCuK0TYdlcixRMRXvZOPkxVtTfQ6x8RzMQ00oAQRRrQqVYIO7j5ODb3Dr1u3RUJfMxsKZOG9Ug4Oz6N1jqP8i97d+kI+amCwZ3nlq+5PKkOI64IPgrfta6ls2tM7q0Ay4g8FWHty7bxEe2LWN3u5Jey7yqfDpiT8IrF+9lMFB8cd8ypOenvla+zCdoa09P8i9vuPQXYOA46Itf/CJvetObmJ6ezm3XWtPf38/HPvYxrr/++uNq44TwGahXfPzETPdjIwABAABJREFU0cZFzp1IEUuPrx5Ywbl9+3nnqq3827blTCcCTkFOcA8HEW9duY3/2LkyBQLFwWuRbd0LuaTxH/yg/f/he4FR2XuyexUucOKLQSoIGeYHrT/g1ODrvHjgr/jB9G8yHQ/mHPekEPi0eOHA+9nQuYpd6vmZU5C06YZJUX/gSQ52vsm8ykU5IODLjElZMplbE+9qTepQJYSJPe73l9PwX58eC5mKVEJWByBlhqRJXSRJApkopnXPbvqvWohQYaaytyt1JyUvkMbCC+mnjmYCkjA1MsFREiufVf9TeSCQtKPDDvft9Fg7MM2IP41qtTJPfkdFrzqhibiIFZHnIzwP4Um8wE/q8KjUUc90KUZbnwIwvhD2GbsZBBN7u11h54BAq02tOcZE6NNphUk/IlQYEXei1E5vgYmXAITp2CfWAYOM09SDRGSTNXXWk8bi3auPaT9dnwBXG5BoLbRSpi9xjIgjNALlmXwLnlJ4NdOeWZF7DFcmOH2wyo92Nrh0ZQfpeT3yDzi/j+G99hxDOol6jwVSSPoumsvEd/fRt6gPWa2l49dLMxOaby00CoFPlQW1q1hQu2rG8e/W2rDRNWUmOTvXQNPnL2Rh7UoOdG5hpHI9yhOEyszRwMvyD0gh2B2fDwiu6f8rvjf5u7RUI/fupBBUxCTr+v+Fg/Fabm/9Fzzp5TSHbiZS50RCpfGEpoXPvZ3f5gX1P2Nv5/8j9iuJZlVS8TOfJk8K2irgo7tWceOKzfzL1hWMhpXUZ8DlpTWp+fUV23lieoBvHRrJOV1bXprxU4mMnjkxc7Sp2cvOfzbSL//yL7Np0yZuuukmfvzjHzM6Osrw8DAXXnghN9xwAyMjI8fdxgkBBiqexPfzWbVc6kSK+ybmcyis8O7VW/jQlpVMxH46kD0h6PMi3rFyG5/ZvZzRuJZLN5yBAC8NITyr/m2eCF8McjDnxOcicDDI2c08FkKSilTyePhS9kWncW3fX/GT1qvZ1nluOtjm+Lu5rPHPrG+9lv3qrHRCuyg/kJnjoNLTTMdPsLzxu6kXv43xtwzMksYkDEGZQi4eGUNEGkCQpoUVyURPznWBgC1AlPYr9XGA9qP7qawdQAYaEWeM3I3vV67aOa3ARyb8wYCD2OTbF8lqMrcahG6B4TqXRRGHp2L2Twecv2DMePGHHWO377RSICCmJ2lELWLjHoYMTbrhdrWPKFZ4ShlPfvLCFqUQMgbPoytLnytgHX8BK2Tjdki9OcakqhCGEXEYETc7BhAkoMDcnkrBgE76AhB6knFpAMG0GEJ5MntPgPYxDuJH6KNtowhWVMeAE93pUO1MIVRMEm2OFyo6fp0YI6C8GsbskThbnlQfZ/NUg4MTivmyY8wFOZW/AwgsEOjxXrvyRSTvecYxZLUEcYQIfKqnDtB5+CDVcxcneQjMil0IchkKzSztrpVQHP9FIFBMtZ2SSNJ+O6GN86vns799J7EeR4oBAimJPVA6NvNJ2nTFgt3xeXTaDV7U/7+4Y/rtjKplaaeWVh7mebVPc1/rjRxUp2VZR1NtRT4TaZ4USkCsBUrWeSy8nnMbX+POyVelCx6bAtn9TKoq/7FrJW9fsZUPbl3JRBQYbWdy/QE/5h0rt/G9gwt4ojmUO9cFAjZJmyfFMxpa+PMYTWBpZGSEP/iDP3jarn9CgAEp3cQaEk/qdPDFzmDc1Brk5j0+v7l6C/+6dQWHQ6PqqnsR71i1lS/sXcq+sNGdpMO5vv29qvITbmu/l4pHMvnoQuG2YpmtVqaEQAlS5I+Eg/FavjX1xzyv/gmeU/0WO8PnMuztZFDu4Y7mu2jqRal3sgUBtr2sXrpgLLqH+dXL0hWKVV9KsjAosOFdIguzspXdEoZoS74aRilyIZluPQHrKCXIM1IBoBXhxlEGXrgIdOioeLOVes4hTXpG4Fnh5WNMBVZwINGoPCpxqawMsRUYKua+3RWePzKG0AplHQUT23gcRvjNCUTUYUxV0TYnM+B7mv7WBC2/QUwtue/kWQBaOpn+EoFtKc0e2AsIhBHV1jhNKoQdZUwDnQQQtDppVIHtj/AUUmXXF1ISJyaMSeHTaE/Q9vzefUz6cLR9pN2i3p5kmiqd0DUxaPrpIHVMyIAxGfgBRB1EEKCjDhfNG+VHe+fy4oEQEUUQyDQpkbmEoBh6n3unyVjKmQscIFB0arT3KrRTsEl6CBVRWdVg4jt7qTx3gTFxJGNZY+aBLWikhE4BAZCCglxBLAuGHSBcrLmRm2+Yua6VTjIlChZUr2Asups5wYtMYkmVrVqLPGJ/fBq3Tf8OF9f/lSk1l0PxSpYGD9FWfXxn6o9Qoj/tA5DyCPPdXbVUaQ1JnQTLU3ZHF3Ja9St44lWOAJd4UuX4aKw0h6Man9mznHes3MoHt6xiMjbjbtAP+Y2VW7l5z1J2tPtKF1Rln5nKQz/VZBZIx3f+s50OHTrE1NQUy5cvf0qvewLcej7GFnon5ADY1a7zsR0reNvKbcyrtKnLmHeu2sqX9ixme6uRO97N5OVeY9A7zKSajxB+TiC7gzrNSlaYlCnyd5iLFg1+1HwrdzffzrSew5PhlXxn+v9jUi1MrycdQVym5pqKHmM4OCsTzCnTEs41MiZlKwqWXd8yuuy4Yknn7Hr2O2camewg+3yEJ/KOXlatq2KiSPGDbVW+vLGP+3YHaSgbKk6Fuiicl2oAUiGmuoEAmXpZxzGtMKYVwRy/nax8nbTAnRDCEC9sM6kqqI4pHGTt9VEsGFdVatE0xFY4uyt918HO2tqVkziokxeyacieQrSmjXd/CCo0PgL2o2Njm487irgTJx/z2x5jzQlxJySMTG592Z7u3cfc76yPXUDA6aOOImqdSSap0Ql1+mxMHzWToYeMQ0RyTQOwVJL3QDHoddAaptsJwCoZC6k2QKn8Jzm+CPDse7VFnn66x+fLG/v4/vY6YWi3Z9ohkQpzjTdcQR1udY3jsv/F8Z/On0QjBnkg7M4JO//c3/Z4O0+GgucwGT3ZFbhYJhilgDbz+d70f+Hxzoto6iHuad7IXa3fTIGA5U2uVsBLf+fnp3T2WV7kCcnheAVzvN1d7XslPHB3u85ndy/jN1dtoc+LGPZD3rFyK5/atZwd7b6uxVM+D4JM9/myO13yL+joaWxsjN/+7d9m4cKFjIyMsHr16nTfPffcw0te8hLuv//+42rjhNAMHC3t71S5afsK3rVqM57Q/MeOFWxp9s0a9fXL/Uw4gtql41EjNfUctkcXpf9T558CyCiSJwWaCE/USq/rMiT73+2vTsq2QsLUtN0HjgtG/hoiOz/bZvobHZzGm1fLq31tJrlELf3gvoCReofLFrf58b4GG8YCTp6ruh3cXFuyS+7K0T224GW+c0yyvK+dOfTZwvXJ+X7YpC2r6NA6Qqn8t+fTpEKlM03H89GeEUbCpgdOTAX2MQlcf4Fs5Z3mBEgEfS1sMqlr6DhMBbj91spoBMy2xIcEhUIak4tUqXOhSZKkmFIBQ1GLZtzo7qN9PE4fKfazpI9BZ5q2qKaPzK2VoJVCeD4tKlTDJmFcNVUmVQJ2kuuu7GuyfTzgtHpsVuyJkLb+H6nWp8QxtAzgubR13GcqFPzSqnE2jVf46f4aFy5JQI7LupLzvHk14kMtvPkDSJGmqkhNBeY5iyQfCUdNM1W0k5DmtjRgO8C+kV42bE90J/86rFZyWK08+s451yymV7Y0oRYy4B3Ak4u6z3M0A5Z2tOp8bvdS/mDtRgA+tG0Vezu1Z/Xq+efRTHDo0CEuueQSnnjiCc477zxGRkZ49NFH0/1nn302d955J5/4xCc4//zzj7mdZ/FrzSgrvNE7Fre4raMkVakY8iNGo+Do2tMSKeLcRFVpCGHe4xdIt9sQw6Oh2Rxv7i1LDWpNlDqJDrD/7bXcSyqd79NTETuiOwpRKQwdW+kvyY3fjCVz66aq3OL+mPGO4/E+48W7fUJyK8wCHWpJ5tWi0n0Ano6J8Xru17EiwsPTBVu76yAIqeAvAwLpqtz6EIQhShjGaoW5GzmgHBCQNZeAFfudOy9Gx5pYSETUyWkHijkObB+LQCCtoRBn9+mrkDARqm5Ug0uxyUfX/dyS682rRhxuzSL3fI/3l6MCYBjvSBb3xQgBc6oxzSjJU1EElPb0ikSHs2jnGMjONUvufFOa3BMqzrFewvmpoFgboO/yJaWzkEr3OElErP2e/LNs+1gU0OdHNLyY6ah7/trzXB5t/brs9l41Ep4Osiae4/k82+i9730vTzzxBJ/61Ke47777eM1rXpPbX6/XWbduHbfeeutxtXNCgAFVGGhlAxCygTkn6PC2FVv4xy2r+B9PnsyNy7bS50WlxxYrDsZKczBczLDcZvbHSYiOzk88lYTuhEk4oTv5bGgPkMb6m986/UA+j7h7bHESG/JRupMmEtK2H8l5Bi64QMGsfuzZRVBg2+tFZfxLJ9cQNR/dijPmXcghIKTHWQsi7tjVx527+7lvb4PT5iUCW3ppApr03OOgSAkqbrEFW6gnAR5aegh0EkIoU5t6FlaYekL0ppxgVSVAwGpFkhWqCon00SndZFLBR/Ss5AOh9vBUBnxcwZ71tUQdPxMJ267M+RvY3xKNFjKrSZ9GLZjvQCqeCvmrnXEgPBPSecq8iAcO1vnh7gFu2zXA2QtMmWfhedjokzQRkZDoVoys+ekcgGRO6DxAnrEfmrRCX/HcsrkWO3PN8gCFRiXvqdium8CnDCSU8Qgbugh5HpHyIpXnS7HOFihhrFKAMOxt41C0pJSXpn1yftdlzK8v38LfbVzL32xcy9tXbmWO38rxSnvOTJ+yJHC/oNnTV77yFV72spfxute9rucxK1euZMeOHcfVzglhJujEChXF6eCyOQaKH4CF1RZvWLKdD29bxr5OFYBP71zKW5dv4YNb1xBjywuL0mtEStOM63h0kLpJrPtMzG5svdsUyhFmNp43TTwUq2TVkJ9kAeOcWv0ec7zt7ItO5vHO1SAq6X6ldSGZUcI4pFElNryTGOs8xvzac1MgEGuB1BCTV3sqHLCgs3wDltFZQAHZakeI7hrzSpuwKaEFAtM/DXjz+wgfO5CGCiIjUCb+W2iFCCoM0eEVpzQZa0surjbxfR9bHlinwCEDEylA6AUOyrzRgaqvaSrPpPBzBJXGCLg4qFJRLWIZ5FZvFghIaVKpaiHTVLlAz9Vn9nBKBDFm1R/EEZ3CfaTAIwTpSbSnUcjcqls6QEDIvHAGUEgCHedLLak407i4mRV7kPC8FLRo6eEJjZay69kAeIFP1YuI/arpS5qkyQIDSSsOqHqzYPbF9yqM+SDNc2HNRcl2pEe9Atef0mS0JRmshgTJOzb1B0yuATeXQXSwTXXV3LSJoqw9mvGvk9W+Hf+g8RBdcw0yEOAC9fFoAzVvVSIMSYW1FeS2/TjhG7HWoENOrXzfpBiOl/J452paesg+sCwsWYESwvAkT4Iy5ZMtX7LCP4zNtaNYg2pTF4cZiwaJVZzjmWWLKqFjfn3FFm7evZjtLcNHP7R1OW9fuZ1P7FzKnk4jPdZ+RyqrsdCJ4tR/oNND6/R0kESUFp46mvOfbbR7925e//rXz3hMrVZjamrquNo5ITQDncgkxeg4yYbcxEP2s7wywa8u2c4/bVnBvk7VCGil2dKs8bW9I7x52VZUAQ3nwUC27+HmFZwS3EIYq1Q7YNOJhspkEWsl/5Wy2gObiVA5k1xxUvBdrm78NYeipdw99QY6qsqL+/6CBvtyyN/NZugmDgljzaB/IQfDO3OrAntOlmnNrlQyLYZd2agCIzSrmYyr2d+p1qGwOoJMFSoaAaqp0MqsynSaaCZLOiOCCkGlwvwBH79SyYCA9NJzupLRiEzIuNtKgULye25dc7DlZ6V7k9A3k0a3ArUGATFeIJCJNkBW/BQICE9Sp00YNJxERAWBeiRgcARKV9mOdkJ4AumJTGPh2W2uxsKCCNO+xvUHcBisNRXMtj+eWemH1T5qqoUMvK5n4wU+UoKvQ3Q9KTttszV6mcnnYMtnXkNnQtoFeWVU9m6TRFS5NMa+jwgqeEGFeQM+QSV5n74dY8lx0pyjNKiJEG+olo5vC4bLtGJA1/i3mi8XNGjyArs419wMh+ncVJr97R8y7D8/0SCqdPVuXpeda9l1axzkxf1/gdZw99Qb2B+t5srG+3lO5VsorZIFiauRVOniI7T8KeFLlmdkPEux2v8Oj7cuK1Hply2qNG9cuo3vH5zHhqlG2uf97YAPbFnJ65bs5KTGeNfCrJNkWuzkPjGdaPZj83jp59FMMG/ePLZv3z7jMY899hiLFy8+rnZOCDDQ6mRgoF0y4GKlOaf/IC9esJf3b1jJ4Y6fS6eplObRyQEeGB/g+oW7SrUBdjDbNh6ZvpBF/sNU9V5ClQECm160leQatxnGMtBg+hMqjdDjrKv/DXUO85Xx/8bmzvOYUsM81r6C26beybq+f6Ah9hbMCBlTsUDDrBoG8ehnvLMpAwGafA5257xYuWChuHJJzAuFTzEZpfvXggLLGIPVQ4TbplPhbjIJevksdL6f+5QCgZxAkJmwcH+75AAI4XksGYTd05Vkl5d8smsJ36PTN0xfPI0fCLzATz8y8KiLNtrzUZVqajo4bnLivm2a4RQEWKHrZYBAegKvInNZEd1zzL2aa9oCU0WtwZEol17ZS55RpYryAuraAAL32XiBoJ8mnfqQOT6oJOmPvdxn53SFJQMlkrb4bpPnkn7b370AQckYsoDTHWN2LIU7W/jLB9FCmlU4ZWr+/Bww27rngAHnpFkLU+Ct6D3X7DxTMBntAASS+en8tIBAaXLAAqAhDnJV39/xg8m38XDrhUypYbZ2zuEr4/8VqZtc3fgrKoyVAoJQZb9dvmR5UjtW+OogK/x7eGj68pyQtouqIj+8bv4eNk83+OnYYLqgsjTW8Xj/xlVcOe8Azx86mOOb9jPt8OtmJ6bVeebAwM8jveAFL+ArX/kKO3fuLN3/yCOP8M1vfpMXvvCFx9XOCQEG2skAazsDzIKAMIr5pZEdrGlM8Q8bVzIdSdwiG27xotsPzMETiucNHc6h2ryGwQ5q+N74W7i0/o+EUTPNM24BgDsJIxeZJ79H5KNc0/eXPNB8Gfc1X0WkZY6JjMUL+N7Eu1nX+D/4TMxKOzA3eDm7Wl8gVGGa+jjWZIVZVAIOHLBgmZoV5BYIaJ3/QJ4Z2tWRu7KyPgoaqDxnPu3HRo1wsgzay1Zt2qtAUsAG6ae/sxWdZeZecp7MAYScACkIFe0ImkrgAYK29k3mwLSQTyXVDohajc7AHOqqRR9NajKkLjr0x5Mmn319AC/ws1W4W7PgKLUC0pMo4SF1nK62gYIGQCKt0K14eBXPSf/rm1oE7rk2VEsrlDgGLYV7Dw64EFIS9w2iggr98SR10aYmQxq0aKgmrcYQolZDVoK0JoIpWmQ+sfDoKEmjKlM7fs/Uw47wTz8WFBQBgSPwu8ZPMq6yceOjhKT9yCiVM+bn/GXsmIVsnBfBcHEeKCxwzoPo2BHgxblmAYFJgRyyo/lZRiq/nK7UrVbAmhutGl9pEHqadY2/57bJd3A4XpLjEbEW3N98OfdNv4qr+/6Khd6DKSCwQCBKfrs8qR0ZntSOFXHc4ZL6/+H2yRtpRyIn/MvMrWf0jTLkd/j2/nm5gkXupxUJPrBpBYtqTV6zaAeoojbA8GvLs6efQTBgQz6P5/Nsoz/+4z8miiIuvfRSPvnJT6alih999FE+/OEPc9VVV1GtVo87IdEJ4TPQCmMCv3vgDnptfm3ldu4+NMQdB4YBcItqlNEnty/mP520le3NOgeienqttlP325OSdqTY317APZPXc0X/33Db9H8ipGbivUU+Js/6BxhG0+GcymcZkPv4+vh/pqkalGVNRMKEWsDdU2/gBY1/4tbpP4SkBrrSJjxIatK0orHUSN3HvMrVbG9+hpWNN0Cs0TLLluY6JBXtoy4IMH3u6o7ZLkBqY831RMIkC99Kg/A9glVDdDZMUj2pD6GTNMM+EAuTOKbMg7xMG+AID6ti7pm1rmTb2rkRG8brnDEUOatWaYCBoz7vSB8dhsg4MjZXbwDpe3hujQIXCBwjxdKnolvY6SU8z4QMJup3AJXUlrdZB10HR9dUYB33pJR4IiKUldI2j0g2dXHiV+DyPFXro+nXTE4BrQi9OiKoGH+KpDYBSc0G97Npup/VQ0mUQtFEMJt3nPYNUGZ8oQVCm3fcNX6KhYoSoBBubeIv6UfUKqlnv9KZml85Zi/z7JN+lMyFsnlAoo/RSY0Rd67ZeWaBw/bpLzDsXwp6KAUBFhCEKgPVBrAr1tU/yH3Tr0mBAHRHRu2NVvOV0f/CuoGPsNy/n/tbv0osqiit0tBklyel/ko65PL637J++kXsaS+lnWgDrNm1aC4Y8tpcNW8/f7tpVZLeQ/fkp7GCT21bxEVzx3jnqo18fMcyxlWdTpTPaghJ0aRniI5X1f9sNBOcddZZfOYzn+FNb3oTb3zjGwHDz88880y01gwMDPDZz36Wk08++bjaOSHAQLOjiDzDdGJlwrUum3OA5w6N8fFti9nVrNKrdLElCQgpUAj+fftS3rZiB/9ny1pilTkSRgla9qRpy5OCjc0zkFJwTeN/cEfzHUxGS9L8AJAxklhrFnkPcE718/ysdS13tV+f2t+KkzuN55WwNzqF3eFzeE7lFh7tvAypQAoNcRKHrDShUMgkRWnNP5sWO9jd+gaLa9eB0oZxOZPAZXJlIEDrmKbaQajGCeQwdbnMuHJZYS9I0hVj6sInDoT2O9aYvOlnLWTqq08QrOzH85MQNchy1OvuFWJOQEBPG7MWMgMEVligTLy4s7oUnsdJc2NueaLKGXOm8yBAKVNkxxkDWkqgajLFJdt7AoEZqhXORFoYx0DhSYSSiNgIda0SAa8k4KOlSuL5Mw2AcEwF1n8hdejTMR0vmL2LU+pYqNL7se8GzHsyDoVxon0I0ufUVcApKd4kbCVDz+OJ0RrXrmlDEaD08BkovuccKPASkJe8Z4TXNX6KJYzxKqhY0H5klL5fOilzlk1BQLlWwG6z/1tqFx11CF8OUJdLTY6ABPyKBFALYTJ3pv0lm1OxMnNsb/NWNB593gVpdUKjCSBn8rMLh5OC73EoXsaO8Iyc2aDILwBianx34p2srtzLi/v+Oz9tvZJd8blIIRPHRwsEzPE19nFp/Z/4afMlPDl9TsGG372wUkrxa8u385HtS+nEgpnKwVuSwD2Hhtg0VefNK3fwyOQAtx9cQCxlLndK2HnmwMDPK7385S9n06ZNfPSjH+Wee+7h0KFDDA4OctFFF3HjjTcyf/78427jhAADnUihI8WgH3LO0CjnD49y96Eh/urxlUkEVeIdrXsPXKUy1H+wHXD7wTm8eGQP3zy4pGtiWHTbicyAfnLqdA6HC7hy8CbG1WKe6LyQ0XgpIKgwxbLgp5xcuY2D0XK+Nv4HNOMGLggom9wpSVjffAkvG3wfWzsX0tYLUyYWxgopJFKLJLWoJIw1c/yXcDC8mV3NW1hce4nxhi9pwl0BKQ3NeCcHOt+no/ZRkyvx5TCT0aPsirexqPYK+v2THW/qWWgHpKB24WKaPz5A36UjueQ3QkizsisKzzIQUCY8ksQ1oodmQAtp2hCKIPAYrGoOdgLmyg5CGm90AgMKbBpbAOFl8fY5p8OkbzMCga4u9lB/zrC8EF4CDsjej90OOOaKzIdgttfuSS4ocAGBlJAkELKggOR3CozcssmO1mUsCqj7mlolHyGSmXLyWoGZ3rULTjJQoNDFW3UrXEofLQTN+w9SPX8hBH6q5ncdBl2tgAuMlYbpaAu72jdTk0sJ5AhR9CS71RepyLnMr1xFw1veBQqKZK+3t/U9mvFuRoJfMX5Drn0/NQ1kAKXCIU6q3MFXxv64FAi4PMONftqgLmBHeBYXNL7E2bWv8UR7HTvi82mrfkAzKHdzSnArc/0t3Db5Fva1FzmOfRkQcP2uYqW5cu4+7h8bYm+r0gUEevFVlcRa7lMBf/3ESi6fP8pvrd7A+rEh7hsbYiI2UQjhM+hA+PMYTWBp7ty5/O7v/u7Tdv0TAgy8bcVm+hp1JiOPn44O8JePryTWMh2wKdrvIXSFNDn4XUBw96EhfmftNub5LUZVPQcCvOS3SweYz5dH/5Bllcc5rfYNBr29AIS6xs7OWXxz/LeYjvuA7gQe7m87qXPZvqTgzqk3cWHj49zW/D1kEsWodFZ9TAljo5RCE2mYF7yK0ehbbJn+CMvqv0Ig6+ZeRR4YKA1T8Wb2t7+FoMr8yjXUvKW5e4t1k53Nf0cRMuifbgTVLLUD3pJBePIw4e4WweKas2oyGeWEKElYUxQMJdnpcuYAqx2Inf8FkHDGSMRjB+pcOtJKVOGJs1xSgVBHJDn8EwFYZkc/CiCQPWCbY6DI8LIXYTQExlRgTQJADhCkcfxkwMD9L6SA8uFd6M8M4YWJ8M+bDJx2C8/EOAya54jnZVqBoMJjBxqcNi8EGeSdBM2Fyts/wjFdoKC4P/U1MP4m0b4OOtQEK+ekTn5WK5D71t1mscnoSfa1v87y+tvxRX9uXyvezYH2d4n1JCPVa+n3T0pBAeTnWKTa7Gx9Bo9BFlV/NfXfsdFFNryvqBU4v/YJ7p56A9rMMiDPN2ZaQEypKj+ceD11r8lJ1bu5pPYhKtKUtp2I5/N4+1Jun3g9sSLn4e+aRIvm1lP7JvjbTatKgUAvvqoxZY1tSovb9w1z58FhzpszwfULdzMYxGjgezuqfLfn3TzFdLwRAc9eLPC00wkBBv7PhuX4NSNoswgB1QUCylRaUhqVVxEQCCn5zK7FvGrxLj6yc006+TqO74A7YaxPwVZ1Cjs6p+aOsTSbyVwEBpYOx8vp6ArDYjMTeg0eSdYwReIvYCqthfZ8D+YEL6atnmDT1AcYDs5nTuX5+CKJ/9XTjIUPMRr+iEDOZ2H11QRinnleha55os6y+tvYOv0PNBorqHj9yXGz0A4A9YuXMfW1J/FftAy8JPeATbpSFNyzFRoJIDDmBhcExPnjElPBgv6YO3f4aJGFFqKUKe+rFCSmH1dNnl2mAAKgHAi46Ydz27tXPqbUrkZKSezYTK2g17EpKuS2UnQaLIY4zgYLHJEKgKDsukIWNANpjoEspHB3s8JFy1u580pDCkvyC/Q8xtH6lPqKOD4DOobm/QdovHhNlmyLgrNrD61AqJrsaX2JFY1344la13yoysUsqb2RSB9mf+fb7G1/jeHgQgaDswlEP2gDoA+H93K4cy/zK9fR75+Rhvm52UrdvAJWK9AnduHRYV+0JgtXPALvKNs2qWo8FF/FQ1yV40VFvuX6CZSZCF62aBef3bWoS4nnAoFe5gJJHhRECO49MMCPDw2mx0St44t/Pxo6XifAoz03iiLe+9738olPfII9e/awePFi3vzmN/Nf/+t/RR5lxI+lH/zgBwBceOGF1Gq19P9sqFqtsmzZMpYuXXrkgwt0QoCBOFIIZ6XeCwQUEawZoDoHCNJrKM3uZoVW7LEwmOZA3JcDAEXNQMU3ToVuQY6y1b/97pWC0y3akZvgEn46/QrO7/sSdzTfY3wHkiQ0dmWhhPttcqxX5SmsrP8O49H9bJ/+KIpOcrkK/f7pLKu/FZmUoS3rkXGMAikqjFR/ib2db7C09hojpFwfhJJJonVSGbHiUT1/Ec2fHKBx0QK0igwgsPnmi6v87AWVXHRm+6IRsnRpB4SAkbriQCdgJDAFe1LtgIzBr5hCPeW3cmQg0NXN3kmHAFOwqQA9pCdTZ9LUcbCkrV7hjW6/dXqdpN9J/YTc6l6pme9FeqDibmdJx3dCSGm0AknYJtJjNKwwXDVpglMTQdpJ57fNAlkWYdDr3R8JLCSf1oOHqJw5H1mvJAl96NIKpI+hMPD3t7/LSPXaLiBQnB++mMPi6uuIdYvx6D52TH8ChQFAgoBB/7msrP82QgSpKcDNRlrUCti+nF79Kj9tXt99nxyZf/SiskWJCwSKYdT2M7/SRqLZ0aonKbAzbets+SskGlcJcZyVT0/7E808p09k+su//Ev++Z//mY9+9KOcccYZ3Hfffdx4440MDQ3x27/928d0zSuuuAIhBI8++iinnHJK+v9o6IILLuDmm28+KlBwQoCBrgQ5Rxik7nFFQIBdGGEG8zf3zefaBfv5zJ5Gqr4Hctm0TDKi/Mtwj7X/7XnFbZY8KYiUNiVDC+cDjKql1MUoHm2UrnVFFljtQPadXpmh4CKGg4soo5nYipXzWkOfdwr7O7cYFb8wWelcMWE0AY7JIBHMAghWDNJ57CDxWIg36OWzyxWpl0bA7usVSdDrHoQA6bFsKGbXVIWR4ZYDBDLtgM1MOCP1Ep5lWoG08E+cFhXKOqVBCtRRJgPqBQR0ooYxvg7ZMTqODUjIgQDHVFAGCKx2oHiesz8XVuloBAB2NqssGyiAiNkI+yPRkcwLiVYgnoiID7WpXrQ0Sw1cYtcubtKJKWEyepz5lZfm95U0a7dJUWNOcBlzgstK91sgUNQKFMmYCEKGvV0cjFcT6+5VOvTmIZZ/FK9Z5ENHSirktrVuzj6+s3+k58p/Jh5rt6U81u4oWv1m8OV6qklwfJr+oz337rvv5hWveAUvfakZT6tWrUprCBwr/cmf/AlCiNQp0P6fDbVaLZ588km+/OUv81u/9VvcfPPNs273xAADKm+3cgdumk+gMODswysCguJ1d7VrjFQ6SPITxU6w4uTpRTOBAHe7CwiK2wF2hGezyHuIPeoCsy8xFagksqCoHUgRgSov7TxTn4rHCyFoeKtoqm30y1XmGRlXalSSjrUnCUntwkU0791N/5VLzLkWEBxpxQezFvyl10jOHakrNh70uwVcoh1IgQ/MKiogpQIQmCnbn44VRCFKyCztr1Og6Ejk+hRYL38dG4EeI5A6RsceiVtJomGI886byYp/RkDQi4rHeZlGgMR0cbDl8dzBGGYoADUj9dIkHMGcZDNRttYfpHbRYuPhj3USzJsI0ktm0wOAttpLzVuaY67uzCgD8MVjyo61Q8StYVJmIljoPc7u6PRSsADkaqX0as8FBX5BQ9kNBPK1XFxSSrG01mLjdB3QpVoByAOBMj6bLs6SbcWRdqRw76eSnumqhZdddhn//M//zBNPPMEpp5zCAw88wB133MH73//+Y+7De9/73hn/z4ZuvPFGbrnllqM654QAA8UsWDDzALXbZoOmlNJsnOpjRW2S7R1j5yqCAjup3GHeC6UfDbmTO1YazxPsDk9nTfVe9nQuIFY6l68+d64GmcQBel7CbEoAwWz65FoB6nI5rXgX/f6qnsfm/AcwpgINeMN10KCaMbLm9GM2q8Sj0AT0okags8pqVisg41Kbfm517FIvkFAEAiVaASvsq3GLdhKmlwGCrA9uBcNU3S+zfANpBUFPpqGHSik6vikn3JJ+3vfA1Sa45oIiIJgl2RV/ryyHU6GkvxIyIxjQ+fkyy4Z7Xy5xUlRtjW7HeHNr5n+P4d1re0vtoO4tM9csHHMkAVy2Pe8XkGkFyiqYKg0Lg8fY1XlOz/ucDZWBgrJ76FWIyH6WVJtsnTaOx2UCu4vnHoHPuguvma5zItD4+Hjuf7VapVqtdh33n//zf2ZsbIzTTjsNz/OI45j/8T/+B7/yK7/yTHW1lF7ykpcwOjp6VOecEGCgSEcCAu4+i1zFDKvmDdN1VtSbbO8MlqrdsggAura7/13qtcIoMw+k52jNaLyUIW936b6cqcBZpcc6K3J0NICkrC+e7KcVH3v1q2DNEOH2SaqnDAGJdmA2asJjBQIFv4FZ01FpBmYHBKxWQMYRkQ6Mk6tjPrAlibOul/8Gs+JXsXJyI0AkfWpCIVWMjiVFcZuaC3oBgqOhGc6JtXEqzVGZ9kepLCqgl3ZoFuRWuYx2TOKvGpzh6Jkp0lP44ujPL5tXFgjMNJRcfwGAQbmbh+Mrj7ntMt5UPK5Mk1m2bWW9yebpxlH1pYzKAEFu/zMIBgTHF01gT12+fHlu+5/+6Z+WrtA/85nP8PGPf5xPfvKTnHHGGaxfv57f+Z3fYcmSJdxwww3H3pEedNddd7F+/XrGxsYYHBzknHPO4dJLL+067jWveU1XqeMj0QkBBmarsjpWOtipcMbAVNfkinoIbhcgPNUUUsenZYT/EUZ1sdLhU0JaIY5V/Qt4c6t0Hn0KvId7gIMUWLggQGu0iokVSLQRgIXywsdEjkahDAh0dTmOaXQmmRa1DBwk2+3/9ONoElyS6bXy2gEA5SmmZZW+ziTTiUCbNSBIGzjyu/3/2fvzeEuust4ff6+1qmpPZ+o+3afn7nRnnucESAgkgYQpIqMoioKKKIrAVUTv5ctX/Yp6uVdRkUEBr6BcJIIyJIEwJCEkJCEJScg89zydHs60hxrW+v2xatW09zndnU5imh/P61Wv2rvGVVVrPc9nPaPRzg9hsPAOpCFMoO4PPLlP9S+g7GRYPOYQQUIyFeIdNXrQx1dJ9GV4ePooOQh2UBOz9MzQgQ901zwIH4FDOb9Io16PjXNPHVgVaT5A8GwCAbBj4alBzvx8gM2bNzMykr+bQVoBgN///d/n/e9/f1ZV8NRTT2Xjxo38+Z//+dMKBm699VZ++Zd/mUceeQQov+9jjz2Wf/qnf+L5z3/+Yd3jiAAD85EQ4mkBBJEWeOK5ospKVYDPQl5Mx1SKdwrNPnw5P7M96Fa5SIKDOW6+/0bbsEKXvGihY4GpLgwHA0wCmSCvAISDcO4rgQB3jcQlLiprBYKoTYhHokWmNdBRhE40Oor7gEDRVOBU8k64u30JcQbNTKKJkYTKpxbO0asNlc5xVAUEUIgyWOiZpQvDlHm7lLLgQEvQNjHRiB8z1YVakECS2KlYmiAqCwucr4bCIOF/AEAgXNTKYZAEEsAXY3S1zRFSzcnxbJDBOt8eLD1Tkw4AXxiivsxOPyWAkZGREhiYj9rtdl8IoVIqS4T3dNADDzzAS17yEubm5rj88st58YtfzPLly9m5cyfXX3893/jGN7j88su55ZZbOOmkk57yfY4IMFBUOwkpDhptOuS0kIkAYMjTdLXq0wIUnfzUgN8LIfT5TAGDruN+KyGoi5mBMwclRLrk2+bTHBzMzKHfedCuO8mTTNReVthudxTNEkLk6jghRMmDN9nbQ43m6WkHzeTnJXfMQsdWQUbh9845xbJGbIW1m8FnKv7KNQ/CGTA/9sBAQEUdpE7omFrJPKDTtQMCiQMFVZNBwfZvt8bIdHhqWTYX9KRHkx5e2CEOGtk5fYCg+NoO8IhVDULmR5LIPm3CRCNm+5zPxEjlOxQEuhXg1UYsoBGY75tXQIIaDdB7OrBs/tm1FAKTJsYShehOIaDlrWVf5zZkIfrNHbKQ4J1vTClhnXiTBJTo1zlIKVAFB8KOGaUp9zGVTMzb/oXufbDtKu6v+iY56hlFQz092QGL/llVfv1skhDikMPwqucfCl1xxRX82Z/9GWvXruXkk0/mRz/6EX/1V3/F2972tqfchir98R//MWEY8s1vfpOXvvSlpX3ve9/7+Pa3v80rX/lK/uRP/oQvfOELT/k+h6NR+S+jUmd7GmbQy2o9dvWsAOu3oYuBg/Fgjxt0ThVkFM9brDayX68deI/snAIokJK0VkI/QClev7o4Kh4t0PT0LgKxBCH6O8cBx7XRxI9P4a9ppbP6AUBgENMvCvjCWvRpCXJGJgrnmMQK/Y1TijWtciIcwM5ei1qB9HdZ9b/QkpR9BCpAQEZd/LDLnKlZx7EwxmhNEkb2uDAuAQEdxdk2HcWZ1kCHcfa/qE3I/0fZddomwNchKupmwKIMPFLgcpDPaIrvpKA9Mdnz62zf6kaHzTNe9m5K37n6LVONTvVb9n33an+o9A1hDBiNt6pJtHEm2+6SzEicJ3l+qmMNxW2+HCU20xgT99+XA4+X4jFFMO40eTLdbtfla0sB+5M1LPE3Dbw35LzhYHjJoHaVn0H27Sv+3xXWWF7rAYOFdjX6aj5eOx8QWGjbM0VZfziM5VDo7/7u73j961/Pb/3Wb3HiiSfye7/3e/zGb/wGf/qnf/q0PdN1113H61//+j4g4OglL3kJr3vd67juuusO6z5HhGZASlHqmLpik1oIELjjpBR9nVKk1z2uNcf1+3KkPogRqLT4hlu8Ab2m6GNwIE3BfIN9TfBjtsTnZJ1SFRhLkdG4fWCZ4CCVv6P5ZoXuWPf6puN7GFYnzqs1cPeyg0akDDgdQEaTTHUxxiCbCqGT+Wf6880CBx1frW9QETjOX6AXaSINDRljolSwxRFEoRWQTqCliYcOyVRQ0QbY0xwQ6BGEbWZpHBAIDDYV2K8jlL2uTAsb2fvZtcRLqxx6QITEJwFm/TpDcZcQQeJbm+YgH/6D4m8FR8MsBDNN4UwiMTI3FfgyRmJo9zRNOb+pQCBL2gFhUrNFNQnVgQBB9hwSWRMIX6L3dpDjLYTozyYvBFStfqJgExjxTmN/dCeLgvOyrIQFBcKA+w5oHukYds1Ms4QmFbuDEjY5mBSCBMOu5BQ2+N/mCZGGDpPP2sHyDU+KjJcsxEcG8aAiOf8Cdx1PCpLC/8fbLV49sY3r9yy2zylTj4q0ExXzCGS/D5LXFqn6/yeJhoeH+chHPnJYoYQHoqmpKY466qgFj1m/fj1TU1OHdZ8jAgyIiiB3zK4KCgadB+XOKFJhKjLhaVhR77ErrBN4ZWHfj7T79w2i+RwPYbBWwJkIpIBl3kPcHf5CLnBF2UTg1hYUgJ+ClKpgd+QY3XyUHx8z2fs261vvtO/MvSuRHycq1y+ZCIymd9sOGmcuLgvsQ40SyIR82VfAzQyzfemxTivwwKTHCaOd3EQQR6kGIAUAhXVmIhjgBDiwSQXbftHWL3ttgribAYFc/Z9kQKA4y8+BQoJOQUDRVCCUxCiTAYNiyGARELj9RUAQYYj9OtAPCPrCD+ejQvGmDBBoCXHuh+D8B04am+O+PQ3OXZ2meTYmS1bVZw5wDXJgIXvgQw8nFUjqZy6mc9tOWi87KtUOyLQvmhIIkAKMscIYQ1ZzY2ntQh6d/VtG/TOAIPMdOLhx4tphzykCAi1AC2Nzgri1yX2AtBTsS9axRD2JIAFk3+ShKLjn4yPzmS+rZPdJlCwDC8dzZuMaI15kHUIZbCKRUmR8dqHaL+7Y4v/q/meDrOny8M5/rtHKlSu55ZZbFjzm1ltvZeXKlYd1nyPCTODsQNmSCvOixsBtKy4wfwd1+84em+b+2ZF51YOBJ0tagZon5z22CBbmW2B+k8Jq/x52JifgmETRibCsfhT4KgUIKRAQwkVxRWgziyBOa53nA2TQAhYQbev+G0tql+LLZkXgW38BB07s8en2glYg2jiFaCjUmJ9rBQqL0HG29IGF4nFVp0FHA4+1kQNxrHl8ymfDUNsCgDi0moAkV3mbOIQ4wkQhOozQYdSnph+06CgV4KlQdwLf687iJ70SELDXSeyxA4BAEsVEnZgkTEjChLgbkUQJcTcmiZJsexJq4m6UtS0J45LJwGkdrMYhYZY6XhLih+3ccbFoNtCDn630jO53aN8RcWQ1K3GUmg8cmLLvc029zZYZRRTp3Jei8A2r6v2iA2gRzA38roW+kvUXHdvFaLwhhRoLiB7bn2og+k0FWV9N+7IUBf8XUWOi9nK2dj6fOfMtNEZcXxckaDMLRFnJcDvGRAbOi2O0qNEja5tgS3wm62u3W41ewbxX9UWaj4csxHuClD95hd8LLffMjHHeoqkSD5Uy57NVHjpocXw421bl18+ihJVPw/Jco1e/+tVcf/31fOADH6DbLZtBu90uH/zgB7nuuut49atffVj3OSI0A8qTKM95ONs5i9YGoWw0QfEDZrmyC8I20wKIcqcFwyVL9vCPmzcMnPk7u1vgyYEgwNFC3r6Dkpb0aRxSBnZG4yvc2HlvSSsgpcCXZa2A0xT4StrZD132hDcwEz+AFAGKOolpo4mpyWWMeKfR8o5HpnV8tcltY4npsa37RWpyBYuDszJfgUFaASBrmypoBXQ3ovejXQxdtiIHAjou2fWLVCo8VCW3T+cCo2iTHqQVuHe3x4ljHYQzDWhtzQOpQMuAQJKgI2sr7gvrO0B2wGKYYD2ctdUgTb1kGjgQEEhCqxWYrtd54Kxj2b1sSTaTNQLGd+3lxHsfYXR2FuUP9sbPNQSgAhvblwBzfo26jmiEM3SCIYy25Y+zpzpQ9sPCfmuq0Fm5ZztSsImR4shuk5JTF83xo501zlsZITwQRpW1AykJJAZdUlnMKx7m6y9p0Sp0DNKjcfoYM9duR60cQrYkSkh0QTvgTAVyHu3AWHAKodnD5s4/sarx8yiROmIWxoYxMbPJI8xE99DV2xF4eKKJpos2IS11HOO1FyNFM+UnxbBFiTZJqiWwGoMk1SQ8HL6Mi5t/yeO9c4FynRP3e5DGwFEVNFR5UXa9WIPXP8Z6rjqrFNw2vYR3rH6EW/aOEcuydkCkzMDoPHvrwfDX4jYAM6ANzxQ92w6EzwZ94AMf4Otf/zof+tCH+OQnP8l5553HsmXL2LlzJz/84Q/ZvXs3GzZs4AMf+MBh3efIAAPKgoGiukqla63JQAFUPKqLHbYCBKQUXLh4Hw/MjhDhEQxE2aoEBDKkXbDVa2MzB4KtLljNQVD9nT1TCQgITqhfz/b4VHpmJJv1OyBQnGn4UuKrHAhMx7ezN7yeidpLWF6/DCVyj3RjDJ1kO9PRPUy2v4PAp6HWEsjFGDTdZAsdvZWJ4HLGglP6gEBVK+BAgSpoBUwS0b1xM41zliClyWZvQseDwwHth0l/aPpi2QsgAMhnlgNmnEYndEPDE1M+r14zBWFU0AzoEhDQYVTy5C/FlJUcoPoZlzvei3sESZeuqBEZGz40HxBICs6AbsbfFpIfXngOc406J956L6d+81aEAZ1YYDu5bgW3Pf8MgijmvJvuoNmJ0YmhGs5fBARSycyHoK08AqlpdqcJVY3Yr1MMW+x7puxP+V2YxNZIkDqvqigA4yodSoWJI9Y357hvW4u5Xkir6DuQztaL5gBbuEkzb87aqhaoSsKCGwcKhPRonL+Ezg1baF6+DuHVCtU1RZYZUxuTRRRIgU2QbWw674nai5hRy9nY/gQ1uZyGWotAEem9tJONGEKGvGNZUruQRiGFsQQSo5mO72Nj+xMs8i9g1D8/1fzZbJFaGHxpwUFiTBZVABCJFpvj8zmlfi33dl82+H1Qzikw77rAi+z/PMlR4EmIdeonkJsLir4DoVbcMb2IS5bs4drd47k2gNQM65gCZVAwiLe67VWNQlI49qd06LR48WJuvfVWfv/3f58vfOELXH311dm+er3OW9/6Vv7yL/+SxYsXH9Z9jggwcObYLI1mws5uwNZunVjmKS+LoADoG1TZAK4AgUV+zIWL9/Gxzcf2aQUCT2aCv1b4HSiJJ2LWBncz4T2OLzp09Ai7kmPZFp6AFF42GA/k/FMEFUNyF8cF1/Ot9v8zr6+Ar2QKDOxvQcL27hdRwue4ofegpBUZ2WzeAEIwJFbS9FaynJcR6x6dZDOh3otAsqT2QupyZYqmK0AqBQJFXwGVqkQzXwGjCR/aixz28JcGkIQWBCRxn52//FFSe7kQ+Yy0Opsc5KGeqZGTTCvwg60B50/MQmoaMHGEiSwIcEAg6fasyjwM8aMOXhJlBW7cFxGAFpJEeraugE1fhETj6RilYyLhMWMa6MRgkhxYFJ0F5wMCWxYv5ocXnsXp372dpY9swSSGuOBACDD24GYueHwbk0ct51uvupizb7ub1dt32/6S6NJgHeRUCBAiiWWDuo5odqdIpEcsPZz+TGCQJkGZxGpxUnLvQgCx8Ai9OiYI0nu5m6baCmWrGYok4vlLp7hp2wiXre+lkQUKk87eM0DggJ3TEID97gt980F9RicWkBiNMRp/UUA8USO8dw+10yaQ0ktt+DYVsOvDBpNpB6x4zgHBiH88Q+o4enoHnWQrBs2wfxwT9UvwZCN7/uKMUQpQKBbL0xjzTmJr9+ts736OFfWfx5MeWllQkBiNNBa4ZygoAS0FD4Yv49Lm/8e2+FT2xqvcR50nK+hgvqGEZqX/IBPewzTlFJGpM5msZ0t0OqGuEc0T6150LFRS8IOppfzmmkf50dQIu0O/hNcyQFDqCGW+CmUTgydgRb3L8noEBh59GmPuD0RuknI45z8XafHixXz605/mE5/4BA8++CDT09OMjIxwwgkn4PuDsn8dOh0RYGA8iAkCzXFD+1ldb7O50+DaXUtsx62AAmdCcDRfZ/2VNVu4csdqRGoGcBqATPCnWoFsn9Sc1vgqRwV3siU+hx3JmUSmSUPsZ6X/AGfV/509yXru6b6KmWTcOg6lg2eQf4Ab0DXZ4ZKhv+fmzjsRwsNXsi+CwJcyBQQinW1EbOl+hkXBmSytPa80i3cknMA1IlNFS1nDk8cMfMdFhicLQKBkshDW21ilwCDZO0f4yD6GX7K8BASETjINAeRmgSwLXboWxdK2puLMV7ErF7UCJrGz/23TAqM1y/05qxJ10QMpCHBAIOlF+L1ZVBLR0R6ziU9VUS2UFVW+MUhilHt/SEIjiWmkTn+mFBFQBQKZaSAFAlEn5oHjN7Bp3Spe/LmrUTM94jAhiRJMYjJHQqkEQgl0pFn08FZetPUqfvi6i9m7aIzT7n8kbWW4ICAQWiESiVGStvKQ0kfpBN8kCKx6XxtIkIT4xNoDRMmJEQyBMjTMLEnsESYtpAMiTsOQFS5SLPHa1GWLjfsF6xYnmROiyQAAFhy4b16UKMVvPiDcsBiO6MogWyCgsqyG9ZOGmf3ubvyVTeTSEQTWmdDKX0MCmdlADgAE9nkEDbmChrei8G7TflHQktntBcEsQEuPda2fZbJ7B5s6n2Rt49fwVQ2rEUg1BRVzgRQCT3nc3PltXtj8a7419/u0k+HyjRkQgZQ2oiX3c3rjKia8R9iZnMzu5ER2xIvx6bBEPcyptT9na3wqd7Z/BuWXWXyitdUYUAAenuLKnWv4lTWb+ZvH1xNKMVCBU5Tpg/jquB9z2cRu1jU7bOk22B1ah9YljWcPDMACJqgjlDZs2MArXvEKPvrRj+L7Pqeeeuozcp8jAgzc1ZnAZ4hk1qrhVwez/MLqbewJff5zxzJmY1UCAA4YVJNfyBRV/9yqbdw1M8bOqFmKIHCmgKJ5IPAki7xJLhn6GI/HF/Od7p8ihRXYCGgbw+74NB6I38hi8QAXtj5NW49xZ+d1OSgYQFIIAjHLZcN/xR3dN9Nmecl/wPkE+FJkIMCXEk8mbOl+mqW1CxivnW5t9wU07GZjCmFrvGOBgUk1BcIwMGtjn49Aek13/Uw7kIIUE0d0vreV5gVLESQ5EEiisr9AyXaMFQpZFboCGBiUla4aWVAwD8Sx5pZtDV6xak/q7BamS+r0FnatRqAXUm/vp6cVM6HKVPqlZ1dWiGogURIQfd731fDCLMXwAkAgCRPuOuNEphsNXviFbxK3Y+JIE3ViTGJIIndNayYQUqAChUokKjE8/wvf4u6XP5/bzj6F8+641/YbVY6PLwKCqqY5SUArmcIAlbXfruP0Nee+EI66StGTirqnaZj9dBnNIIe9aaqyT0tCn794H1dtm2BFaxarSwjKphcKJoNipIH7X1iX/EwG9B0jvSwiQQCogNYLljD7ve20XllHBVYAVc0FYIFBFRAAOShw9yqA4qKGLNvmmg4IY10Ql9TPRokmm9r/yNrmb+ArPyte5EunJSibC7qM88PuW3lJ63/znbn3MpeMMB9JIWiI/Zzd/DIjaif3917NPdEvoaS0JoJ0rE7pE3gsvII16kauGPn/+F77HexheXadRKt0bailoCCMNXvjBjftH+fNq7fy2S2roAAIsja491MAAlIKWkrzM8t3sLze4zt7lnP13jW4HAdKCqJkdt7n+ikdmCYnJxkeHn7G73NEgAFfyRKa3aVH+D/bh9hQn+Z31m/kpr2LuWnvGEnBfFCNHnBA4JXLdhFqxQ+nl5S8bWuZFiAHAo1AsczfxEVDn+HW3u/QEyupqbLzjJdqIrSB/eZkvt87iVEe5sLmPzKrx7mn9zNMxcv6nmmF/xDnN/6FW7u/wpQ5NvdILpgEnHkgjx6A7b0vMB6cmwEBJXOBXSQbKmWzwDmGpZ2yOD1Y5xMj3OaiRqBqHsicBo2me8cOgqOH8FoSkrAMBJIwF9wFISOUwojcLOA0A6aiLs6OLwoFHWfXMzrhlm0BZyyeI9C9innALjqM0N0e9c4UM5FHFOmSF37eJglRjJASqSQiZZYu1r/0TguCswgEMu995yzogMCJxzIb1DjrKzfaKIIoIe4kWeRAlGoFXKEpJcCLNEko8Ru2jOzpX7+Ze192PneccRJn33U/wLw+BCZ1/HPPkZU/HvAc7hny/+V3IqSkE/jExmeYKTpmBK0kSkUWBEiVmQt8HXLOkmlu2tbi4nVpxEEMeDl76QME833nIugbANowGqS9rgMEshZQP2GE3m07qL9gdWYu0Dp3JnTmAk0ZEEAOCmDhsSDnGWfaGIQRLK6fiCFka+dzrKy/FV9KtLR3cFqCqrlgvz6aH3bfxktbH+b27pvYEp7c971G1CSn1r/KqNrBvb3XMRnaXCB2klBW1zt+tE2/iEl9Ei9q/TU/aP8S2zkayEscB57pMxfc1x5niR/y2hU7+fL2ZX2AoBTeLe0XPX9sikuWTPLtvSu4eu9oOqGqOFkfTFjr00Q/iWaCM844g4cffvgZv88RAQaagSIIVFaT29niN4ajfGLLEC8a28HvbniCf9u6kh29el/iDwBPwOtWbAchuGpyZUkTUHUQdMBg3NvJRUOf4fvd94FahCedZ3/eYxJj44kTY5AatBFM6eO4oftHLJKPcF7j/+KLNjuiE5jT49TlDCu9H9Mxi7mu8wdEjGRAYEHzgJJMxTdQk2MsrZ9rIx4yIZ07EDnSxmAQ1jQ7ABQAfZXnBjG/onlAOvPA5CzJZIfGi5dY80AcIpLIggBtzQQmCtHFOgBS2iQ2qXo5AwYFUNBHA4SDiUO2T2k6IRy1aLbPPGDiEBOFxJ0ujQIQiLu9THAXneeEtM5yQslMmIJ1zAPyuPtUMFXTCxcTCuVRAwmPrV3J5JLFPO9L3yUObfhg1InRkaYXJoTaEBYq2jkwEGhDPZEYbfBSsHDKt27jjp+9iIePXstxj20aWNZaFoayc9o3hbwBB3oG+7p16Z3YYzymtGKUaTrOVl0wE7hldTDLY6bJ5inBmkVJChpV7iMAWVRA3zcufOsi4DOV/oNO7+flUSVW4SUJ1tYJN86R7JpBLRtFkGrvKuYCKSgBAvvuq+9yMAgo/s/edTrOpAZpYLx+Op1kJ3ujb7PYfylaCZLUb2CQuQAJU/oovtv+Q86of57T6//J1uhUOnqUltzLMu9BEmo8EL6KPeEJGQhQQuCpsibRUSLt5CRKlvL93h9yQfMv+L75VXaYVaXqhcV14EnCWPPdfct56eLt/MKqbXxh60q0kgP56fJayJtWbWNLt8nHtxyLEapgYpWlXCxe/NQLnx0q/SRGE/zBH/wBr3nNa7juuuu4+OKLn7H7HBFgoB4oaikYSLQhTENjwlgTxnDd/pXcOdPlNSu2Mhsrrt45wZ4oz4+/otbljau2cff0GLdOL10gPjf3EWiqiIuHPs4Peu8Btaiksq8yg8RYR5so8+SVSGGYNsdxU/e9CNNjsXyYltzLtF7FE51LCBkqxSgXB7cSeRSBMw9Eeicz0Y85bvi3C06FIjcTkHfkrHSzASENiRH9moIB1otBDNBpB0R6T6MTurfsoPm8cRvGpQs+AjqGKETHIVNzCQ/t89nT8TEGFtUTjh6LmRjSIJMCY/dy1fE86uNslpiaB36wvcHLV+3JIwcK5gHiiLjTo96dZk77RFFC3O2RdMLUxp+rx52XvVCpVkBKZJDOOtPQvGpI3nxAwP1OQs2+ZoN7Tz2eiz97NXEntnkEQk3cjenGmk5imFqxmN0Xn0ZnzVKMgMaWSZZc92NGtuwmMdBwIVyp+eCsr97I997yCsZ37WVp21aFFFJilKt+GJcAQeKer1j/INNs9FdPLIIkBwaUyz2QeMzgM8QMXamQfmiFc8FcgFQ8f3wvV2+bYHlrFj8g9x+Yr0rggG+s08RQk3Pw6H6PfV2rB1lcTzh+cchYQyC0n1oiUs1SYn0SmueNM3vjTlqvGkIp6wBaNBcgrVOvAwSK/nFQNQc4s9igcUZ6/SQdZ2gr6Fc2XspDMx9jyDsRX62e11zgA1GK3GI9xG3dt+PTZlw9SF3MMKmP4eHOK4hpZLzCl7IScmx5EuQgxfEkKSDSI9zS+2+8sPU/uSr5QxKvlvHRwJOZuaAYbvitvSs4a3gP797wBP++YyWb2vXsecf8kJdP7GaxH/HlnavYGzdKIGBQCLZ8FsHATyLt2bOHyy67jJe+9KW85jWv4dxzz2XZsmUDgctb3vKWp3wfYZ6uOsDPAE1PTzM6Osq7v3grteYQidYZGEi0oRfr7Ldbrw5medHi3Yx4EV2tqMuE/XHAN3YvZ19S7wMAzhwQeJJG4NEMFI1AcfHw/2FHchZ7xbnU0uPc4KumRnaDPUoMUfo/TvLtDoFX1fIljUDBPOB8BGqepO5JAiXZ3PkY65pvpBVMEBRmB5mHf+XdJalvgMYif4OVC3YmQ6k9jqpAwGkc3D08AdETe0i2zdA8c9RqBaKu1QrEXYhCkijkls2SqZ7i5JFpJuohAtjT83l0tsVU7HPhyg6LmgLh+QUtgdPPZnFM9m8BCBidcNsWxZgfckxzJvMNML0OOuxiwi663cbMTCHCkJm2yYBANR2wI6cVyASg72Xb3H5Hub29XHSo6CcQdmKuueJizrvqJupb9xJ3Y8LZiLgb0+7FtA089uaL6S4aYvSrt+E/ss32l6OXM3vF+XidHhv++du0gJYv8eoewZCPV/eIJka4+fWX8IqvfIeg5qEC214ZeEjfywBN9kwLtN2BgEHvxD239D1U4KHqAV49YLilwPdhZBRVryHqLURQR9Tqdu35bOwOs63b4II10VP6vlNzCd/f1qCpEo4fmWOx30MAu7s+900P0/ThBWsiPN+HoIbx6qACjOdjvDqde2eQi5r4xy4hQZIYq717OsZA5kxYON6k13D3iDVE2jAb7eXx2f/D2sa7iLWN7e8mml6cHDSfcO0ZxCfK5sQyTwKIEk2kDVGi6cWaUfNj1qrr+M7MO+hECe0woRMmdMKYMNYZL3V8NNGGEdXj5Ut3MO736CSKutTMJorv7V3Kxt5wZSJVibxKJ1cAvfYsH3nj+UxNTR1UJcCnQk5WbNm+47DuMT09zeoVy5/Rth4qSSkZVKG3DErtBDA5yKyqg+hZ0Qx87GMf48Mf/jDbt2/n5JNP5iMf+QgvfOELD/r8uq/wPUmi83C9MNY2rjdVbzmV1JZwiM9uawGmUKJz4SxcLrmQ+71Ybacl97M7OYdaapezQloWmINITQSpylFbBTzgph02GwzknjcVJ0dHDunn69zZUQpBO3mEmpqg6U9kWQczG7MsMKiKGtYIkWVRsfZB7OzF5WSoIIiqShTKWgGMJrx3kuZFE7hcAsLk2oEkCvnuEx4r612eNzqVpv6111nuhywf7zBLg+u2jHHa0pD1iyKrJSDI1dkmwQiRhZkVBcVs17CzrThnVRviPNOgcemH44gkjKhHHfZHPknYzVX33TAT4Pa61mnP1QIQSiLxSIhL21wq32qFwUxDUCgSlIQJjx+9holNO2jt3k+UbkuihDhK6GnDQ7/1Kmp3P8Hif7zWmgqcmeChbYw8/B/EF53CI7/zMxz3N/+JiqEZaZJQI5Wmvn+O1Q9t4pHjN3DSY09iEoFRaTuknjcNcREIAKV8Cy5PQuY/UHgvWb+QkkRJ5kKPRbJLp9dE+h7EoRX4OrHvXyrWNds8MNViqmMYbSV5wqIszXEOAqrfd9M+w507m7x4+T5GVJ7tEGBlELJyosMjs0N8+4khLlvfQ0qFkLH1OdEKdEz9xFFmvrsT/5jFSFnWDiRpzgGJyADBQmOgCgRcfo3qWMtSM0msX4KBhreIIW89c8l9NNUptqCYpqQdAGeqcOqItBEVPrEQEKjyJHA+KNYJ1V1uX3wq68V3WBZsZHOyJlPjO+1AMfeAo+mkxue3reVgeGnuc5VHY7l9InoWzQQcXjTBc89IAJ/5zGeeFfPFMw4G/u3f/o13v/vdfOxjH+OCCy7gk5/8JC9/+cu5//77Wbt27UFdw0s7W5xqAAKv0LmypBrVl2WdXwaYV0s5Bao5BpQUnNG8mnvD12UOOs5mn6Nwex2JQGsbohRhQYGUDBzo2vTHD5fSkRY+dlZ/QNq27ut+j7XN1xYYVNmzv88DW9iMbMbeBHQ5AYtjhgt1L8cUna8AQLK/g2jYGSlZnn9rHjBJwsN7FCNewgmtqTQTYAGlpglrhmSHV65JuHbrYgIVsmpEW2Hg7qtUWVA40po7d9Q4d8lsSUhkFQXT3AMq7NqEQFFaH2CAGj+jxGS1AFTqhGed8cpC1VFfjYISILBhgg+echwv+sK16MSgU0FuEusfsP3Ck/G276P5nbvpaEMn0bg0A0oYAikIvncvwdIRdlx6JrXv3kUQJchQogJJEiYc98P7+c5bXsHxDz+BSIzNFCg1Jq1XUGy7AwKDaitUgUAxzNG9l+w1pVoG7cf0Ag8v6qIjH+XbxE7C88GzJiSBz3kTs9y+s8WlR4V5jYP5vm367XbMCO7eHfDK1ZMok2RpkKt96NihWdra595dktNWJVlGwizzpQdqLCCZnENNjKZmrjwzoTMRuDFQpSIYzkxlTjuWAuJBYw2c024+bpbVL+WJuc/RUqcUKosaG5KYjkcpRR5emm4rTxRyIOAmDA4AZOZCKUu5uySCKLH8wze2JkKiBPdHr+fU2pXsDN9JKPMJVFWw95MgqiRAWmhxQMBFKxyooNJPaWH6lV/5lWflPs+4m+df/dVf8au/+qv82q/9GieeeCIf+chHWLNmDR//+McP+hrOO/Vg820PjOuv7Jv/PyxSW5lmQ2l27gafKxlsnfvy/9V0wcXB667hbHpSiL5BDvn57hglBBhNbGapqfE0G6A1CdgAuBwIGJ1gOtazPnPGcsdkDK6QWXAA0hykFYAcbcebpvHXtvpjwo0V6PdPepw1Pk1e9lcXltwhTOqES1fu49btdRJNiem70rtVYZFo2NuTLGsWQuu0hiQvRWwSjRd36WpVytFfBALGzdZDt99gEjNwpl+1sdtHLhcryusAGKZHhmhNzeJ1o1S42n1xZB0Gd156BqP/flPmPBimgMAuzqEQhr5yC3teeDJxao82Om1jYpBRzKKde9m7aKRPW1GlQc6B7nfRVODSJLt3495LBhyS/J10E4mX9LJvk11P599rPAhpR5IoKoK5ZN5vqxPNzVtrvHTVlAUC1VLKxT4UR5w6Os0j+wN0YssnV6MR/LVN4o3TfVEL1T4/6H/Rb8b5CEg3Joq5LtxYS/NpyII6X6RjrKaGMSbCEFcchHNHYSDjEdU2Vdvn/IncvvxaOU9yfMlNZNw9lRDMsYohuRfQBX4nS/xyMBgYnPp48KQqNxk4zUPgPXtgwPHWw1meKxTHMZ/73Od417vexbve9S7+5V/+hTgeXHr76aBnVDMQhiF33HEH73//+0vbL7vsMm6++ea+43u9Hr1eL/s/PT2d/XadMF6gDsB8NF8HH0QNMcWcLqd1rM7aZWXgakw2KJ12IEkGt/NQO1tk9lKTS4Gic5PI8wIYK0zb124CAUIJGpessRrMgslAklstim3JTQaD21VUTyV7ugSnj9ntFUY709UMBwmyUhLYCYnsKlKBTgh8xYbRkI1Tkg3j6b5CGd3sf0qTHcWyRtR33fxYp37W6DT4rqoet5c0pd8SDUqhE41KQ/GK6XuLjoalFL4DaNfEYia27kyvXT62t2iIYPcUIk5yO3Yq7J1ffJKWwNWJobZpN+1lYzQnp0qzdp0Ylm3Zya6JJSydnrEgQenM+9/5CQxKQ1wFMXZdfh/F95KZIXQRCBlIQYSyBxdvgAt8XNGK2NnxWO3r8jcdQFtnFauHQmrKWPmdaX106TsLAKmQJmG8HrO/A+N1+mbrarxG+IiNbZfCvuNB/b9IC/X/0h6jaV+/BRMmEBuaL1uHENo6M0JBq2APr6sVhHonioOvKCf7+A0ln4DqxGPBa0lBqjRCCcG0XsGomqQTjZeOc0J9UNbUQdsOhac+m+SA2OGc/1ygdrvNi1/8Yu64447MV0AIwUc/+lGuu+46Go3G037PZ1QzMDk5SZIkLFtWjrNftmwZO3bs6Dv+z//8zxkdHc2WNWvWlPYvVBBoITqU82qyTc+UEzwMCq2pkjYmzTfw9PpjJqaDK6Iy36XNXIzwJUMvXYOJDSbsF1oLi7GDIxMmiGAwY2/HgpZ3aHdZVIuZDhfoggUh0okFLf9grt8/mkulgAt2I5v1T8577KFS2KhT7/QG7otGW/h7Bydfqd5RCfD2zhCNDVkv9kqb650eYbPWd51BNQjmo4N9zuI1B15/HkHf9DWdOLV1HYCme5LFtcEzHjHP9Vueph0P4NxCIgKJicp95XD6f3HYGQ16LmbopWuQQz56Ouw7vshuPNkiMZ3DuPvhkU61TY56ZpiamOs7zoVtHwwVwxOfa2Q1RYe3PBfowx/+MLfffjvHH388f/EXf8Ff/MVfcNxxx/HDH/6Q//2///czcs9nJRtE1fnBeT5W6Q//8A+ZmprKls2bNwPWA7gYE1tdinSwnXS+Dt3TLWrCaiSKWQ1zc6oV+G5JjOkDCy4JUZWK5+XXGtw+d20pmsRmLkOH7nzjzhUSMRRgNMxcswlR95B1H1fQxVSuWb3HfPsgdbwqeF6LmsJEqc23GAYoJEOBYC72ckfAlIkLqdLcAjIXHGko2p6ux1getbTgDLLpa+biQhKb6rGZ0DHW+1apCgiQGRCQSpRAgVDCeuJXjrf3OYAwLBxb6/boNuqF+6WLFDT2zxGPD2e2ZyWE9REoLMWKlMmSEer7Zwv3yEFBp1mn1umlEQNiYLuq27KkSmnEgdsm0nch0vcjC//d/VyEgn1X1rNZKtn/vQr/5yJJMxAD91VptKbZ2/PT69u+kvUZyn3I5amYjRUtFz3swlKd7b6nEYH9XRxfB9P/bRIhst8lD26ROpqOBsxcswndTZBj9WysaZMDdneNSM+iRLPvXnoBPjWIR7jjc41Svs4UKQWepHX5+RyfqotpOrpVul+RDx6Iny50bJHiEo+e97Cf0jz05S9/mRUrVvDDH/6Q973vfbzvfe/jtttuY9myZXzpS196Ru75jJoJlixZglKqTwuwa9euPm0BQK1Wo1brn/G4MMK8c+W/4wHAoCro51N1FY91y2wyTEPsI9EGLW2YkNQGJQyR0PhIkKlgLgzC6gBNMk1BDiCKpI3JzQza6jGlSc0MxuCnM1xfLCLUk2isOcLgEgeRF9tRPq3L1mPixDLwlDFq4xiUTUdcZFgZ80vbI1ybUsfLqhbQAGq8QTzZRa2p58xXeqBjWnXFbCSJUSjPR8RgPEqqfyEVeD5CKXpG8eRMjdNXdEuJiEr3TJLM8XC8mXDzVs8KBGWr5lljqSqcLzFSoYC4ECrobN5CaVSg+uoBlELyioJPyoEz6EIeuUw9L5Vg+a493HbOKRx9x4NZemF3/cb0HNH4MF7NI9BRwXHQrXNQID1JuHoJw7un8H2J8lWpnbvWLueUtF6BLArpQr4Ety1/l9Zs4Nou0mgBqSUanW6Xfe9FBja8UCiJCnykAiPze7hcA6IC9La3A85c3qE43+j7vmm/WzWS8MMdPqcsVjQkeX/xgtx3oAAItFTs6/mMNSKMVBghS6GLyd4QOd6w/bMq0OnXsLl2FMekSf8Lkdf2sEPLo3nRWkwc2/ebZtDMQnndWEvHXjfZwVJ/gigT3EVQwEHxiCR1SHZrrW0Uk1sDkOR4WOucF0VaEyU601oOye3sT8ZLvBT6hfyg5ETQX4XV8WClXQ4Ya4xxGWOr5z/jVEmB/pTOfw7QY489xi/90i/RauXAbXh4mFe/+tX8y7/8yzNyz2dUMxAEAWeffTbf+ta3Stu/9a1v8YIXvOCgrxOW8gkkfQI8LAGFwRm2Bu2rAok4RbF7kzWMikeItM4GsB1UhbX7nf3P43oHDfJBbchQfGE24QZtYiBKbNyyJ0boxpNpjHSuKUl0bnc2QiJ8H6SXMSfHoBLjZg05EKhqDdx/x8xc+7RrlwFv3SjRxlnLeIUE5eHyxeN5nLJMc/ueEYQfWKHv+QgvSNd+BgRi6fPtzSM8f3WI5xUzEorSYmf3dr+StuDJ9rkUvxaS3bhF+AG63iQQkRViaQy+CrzsvwqUjc8PpP3tpzH6gYeQ0sbVp9uK8fqlpTjLzgCEYKTToT3UIhmqZwJVBRLpSwIpWP2tH7H75y6ioSQNJdJFVv4Lpl93Acuu/zE1KVCBBQIOECQ1j/1Lxlg8NZ0mJKq0SQ5us0wFujvOPZ/0D/BeCouQkoYyJEHDXsvzrYAuzOaFUuzu+Qz7Gs+TlDNO9n9fpEIqxYVrQr69ZZTQSIQf2D4kZakP4fkIP+CufSOcsCRGBkEOSF0/FJJo4xz+utFSHy+CYde3S/sr/V+nxxuTz84Tt03ItH2FsVYYi24y0E32I0UAwsv5QGXCAGUgUOUT5dl+ronMBb3NWdDPlywvSkw+fptmM9PJ0ixE+0CTqCoPnY+nFvMUOIDheLbb/myRSIuaHc7yXKB2u82KFSv6ti9fvpx2u/2M3PMZNxO8973v5VOf+hSf+cxneOCBB3jPe97Dpk2beMc73nHQ1wgTTRjnCTKKHW2Q2SDR1jt8SNnQqYVMDEWE7K57++zLOTX4kgUIiaGb5ECgm963F9tt3ViXBp82ZOsiENCFQalN3pb5Brou7BvzX8zO3rcK+x0zcMlLLBOK06XMlPJ1EQhU2+N4gGOIRWboTAVqtIEONTokY4RGKsuMpcexE4rQeNyzbwiCumXqtXrG3IUfsC+pc9XGMU5fHrNyRJQERUndm872MlAgFWetiLh9dwuj/GymKKRKQZDNiGcaLXwTozyF9P1MkHn1AJUuXrrIYsKeNMFOUZhmAnQhQJBmLVS+h1SCU+57mPvOPwXpq1So2rVf91h120OI4QbTrziHIU+WFgcK2i85g2jVYtbe+GNq6fl+w8uu9dDzTuGEBx5DKpkChVywH0zb3fOWhH2Qv6Pie1H1oACofGSgCESMrjVSYVhJS+z5GKG4bdcQ56wI+4DAoO+L5yH8gIkRj3NWJVy9aRF7o7oV/Ol9in3ogZkR9scBJy6zfc9IL62TYIGAjiGZiVDjzbxvMxgMDxoDxSRFuvDbrSNdHmuRLgKBXC2uDezsfocx7yI7UUgFde5b1G9OPBCfiLSbmJj8munMP0pMiS/14oRIm/S/5VGn1q7kjvarCkI6n1hVJ0YL8dJiorfiRKyYuCiMk4xnd6JnzgP+p/T00TOeZ+Dnfu7n2LNnD3/yJ3/C9u3bOeWUU7j66qtZt27dQV+jE8bUvHKnq3ZKt++Y5jSXjO8hkJrp2Ma9dxLF1buXsb1nHfGq2gGlXYpjm5ZzMlzK/mQZy+Ut7IifRx1FNy024iuZ5TQHMsGdVAarrjCUfkr1e9qABG0EaFvnwKY21kipiBJD3TuKUF9LO9qJEstTBGfIcwjkYVCQmhAqTC/RpmQmsMfZH64sq8PEUqTng43PTlWlCVA7bYLuPftonrMIIT1QtrY8KkAALz4m4oebfK7eNMbJi7tMNGMwCXt7AQ/vrxNqwaUbYkYaxdlibu8dRAbrkd6qwaphw8NTDY4fST3N06Q3wgusfjTQxI1hGr0Oph6UriOktEmHfLKEPMDgGbXM90E5OkAoiU7TGqvAIwnjVI2uOHrrdh448Rhmly+itXUvJjH4aX+rJ4ZT/ulaHn7thWx6/xtYes3tNB7aijCGuWNXsu3l59DctZ9TP3k1Dc9qFLyGQvp2xt5eOsqO9Ss555obUEG5zaqqyRjQfiHziINiQqJquKQzN2SgIAUNLV8TBU1k4GfaHuH7mYZAKMVjs3WWNDQjTW8wECh/EBuml8bxrRqNuawW8f1NTZRocOxol6UNG2a4u1fjvr11xhuaS482iMDOzFEBKM9qBaRH98f7qZ2yxALVgoB2wLY4JhYaB1KkYyYNFcT9xpTMDJp8bEVJDgo6ySTtZCtj6tWEyWCtwKAJQ5VXJCaNGEj5RKTJqh46E4GUEKX5C9w5RdDQSzSLuZNO0mRnb2XJzFoU4lUQMO51eOXEDoZUwlSsGPYSYiO4fnIJD7WHcRzHzfyLptdi6PazqRn4STETANx777188Ytf7NsGcOWVVw6sPvvGN77xKd/viEhH/Muf+R5Bc6gPvRY78BK/w2uXbWN7L+Abu5ayP7Q4R0rBkiDk51dt4+HZIa7buzSrQZDHwUpbDClNSRx4kuEg4fXjf8nN3XfSZTl1T5UygDnKBrQuD+4oydWAHjMsUw/SknvpmSF2xCfRYxGQhw65vOOeyrMd+lJQ92zssJB72R19nmNa78JXysYQuxwHst+HvsjwHOMpMr/qV8/CFgtFWorXtu2zTm7tqx+lcd4SvJawKYmTEBFH9neahGiuHfPIpGB3qtFa1ICjxxIWteTgmaJrd1qzPt9QyGUQxyRxwlce8rl8zRQNQkyvazMRhl37O+yiO3OofbsJjUc3NOgwJu72skQ7QEnwldIPZyaAfoe3QYV+XOKeJC1jHHdD9gd1vvui83nJld+CmR5xN84KFcXdmKgbM714mG0vPIWZo5ZhhKC1cRervn8vY7un8HyFV7fJnVw6YtGs8Z2feykXff92xsNOKQ1xEQi4tMT22Q7uGarhhsVrqcBqV2o1SUNERKNLkC2bhlgGdUStYWfxQZ1Q1rh68yJ+5rgufhDM+52d8+lC1Qr3tzWP71PsSR3xx5tw7LhhpKkybZRRAUb5GC8AFZB0Ye6m3bRedSwaYflFBgj6gYADAcWxMGgcCFw4b/4/e58UZvDGOs6FScKjs3/PRO31SDORaROdZrE6aShWrwzYzwrvfmpihrZZxM74eHpmpJSXpFqjwG135PhQnGoOfL2bCxt/zZf3vp+Z0KcXaztjD5N5UxG/YGw3pw5P8fktK9kV1jJfhyEV8/Llk6xpdPny9hXsCJullMTFPDAu2VDYnuWf33bRs5KOeNeWjYedjnhi9br/8nTELgVxlYphhtXtR0Q64sOlTpQQh/Yhq0BAmIRXLN3BilqXz21ewWQYYLTBWQMTbdilff7msbW8esVu3rB8K1fuWEWiRd/1AJS09+lIj29O/SYvH/1bru/8N7rxeFp5TPc51w1G+Jpl6l5OCq4GYGt0MrPJOA05y/MbnyY2Prd3f5GuGQcs8pdu+m2vihKSKLHbfRYz4p3H1u5/sKb5OtCp+tNNGiqdYyHGpytAAApaBWFsemWsVgBtAYFJGZ6QgvoLVtP+/maGXrIcKT2rGfAskzRpFcJWS3JGU5dCdYxIU9KWVMXpnSuAIMtdX2ijUNY58ILVITduH+ayVfvLmoE0AZGo1UnGxqnv3YUO6oR4eNg4+aSSM6A4g3bCc5DjoCnMrIsOhDLw0KlmQGg7Qx8Lu5x5z4Pc9MoLeeGXr0dpTXGoCSlYPNNm7Gu3lBzKPF8h6h7KV3gNBwgUwlfc8soLOPmBR1ncaaPqfh8QcD4P7jkGORGCdf6z220ZY/wcGOTtc5oBex/fEzTpEo4sRTYaqQ0/gKJdXym+v2OE562K8L2CRiC145e+e/U7OwBo0l4qFWMjmrOHi30ndeyTuRbAKN+aB6SHFpL2rbtoPH8VCFuts2geGDQeBo6FVOGWYDN0GmNBgEkzGJp5xlmicy3E9s41DKlTkGaiz6bvzANF7aEDAc9v/As+c2yOzmQmGWVITnJB4wYkMQ+EL2NrfDoydQxOdGIzERpKmkoo8yOpp7ig/hG+Pf0O2nFAL05Kgr/fPKC5Yuk2jIG/efwoLD40KU+FGa24cutyFvshb1q9g/1RwNd3LSeMvcyhsJrQrZR86qd0UPTBD37wWb/nEaEZ+Nm//w5+Y6iv0548NMVlS3fzrV3j3L5/1GZqGyDpXB1uIQWXTexhSRDxld2rS5oBV7SoqB1oBoplte28dOQfuKnzDuZYW8o0BrlXflHNt0zdw2m1rzAZr+OeziuZ0WOl9ighGFdPcmHrn7iz+yZ26ZOzrGFSlDUDvhLUPJVpCfZEX6TprWOi/oJs5l6cxdg22XWR6bnt831uhzSzDIWUtQJ5uWSBL6F353akD7VjWzYVrCtlXMjKJgap7AYJhvlMBNlssTBzTDPZ3bwRltRswSITpZqBOMq0A7Zo0RzB9B46ok4Ugy6k4C03qeyR70im27Uuz5zzTIVJXqworYFQLGV8z/qj2D2+iPOvugmdljF2tQpcmuKi+cH6AVhzg/QlfsND+Io7X/Y8htsdznroUes74Oz6BVV+UYBXn6X6HIOepfo+nOnBk8YCgeHFyGbTFiRyxYm8IPv9ZLvFlnadi45KEH5QAgKH8q2Bwf0mPdc5CTogYJQ1F/SeaJPMJNTOX5059EW6LKjd+Hyq4yFP+lU8344xd489vduZju5jqf+LhAU/o8zOr/MZu2vjuHyY8xqf5Qdzv8zO+GigbC5oyWlOa1zNMu9Rftz7mQwUFDUFtl2ixI/qbOfCxke5fuZtbO+tyYoThSkgaIdlYBDGmpcv2UakBV/bOYEu8NMqX3U89YyxGV65fJLvTi7hrpmxUo0XsG2LOrP85zsvfXY0A5ufOHzNwJr1/+Wagf8KOjI0A6EmVk4zoDmuOcNLl+7mybk6f/XoUXRjkTG0QfG7RfZz7a5x3rBqBy8Y3cXNUxMD7VlOO6CkYCcruGrq3Vw++nE2R+fwUHQ52ngUffHtwDWsUHdxcu0q9sar+eb0b9M1I6l/QqVNEnbF67h6+v1cNvLX/LiXsDM5DanJ/AcSY7JQwyjJtQRL/DewI/wMUgSMB+fYfOgiZ1pFKs58XAXD4j4oqEXTDRqbV10LgzAi8x9IwGovJCRGEJyxnPZVj+Atb6CGFcJ4aShhDImwQruoBoZ+gZABg3LDq4k/DLmGwAiNUIrzV4V85aEGq5o9Gj5UaxWgE2SzRYigPrMHz/foJh5SypJQzD7JPDNpAJVuM1L3nWvrUcVZ6eMinfbEk9ylJD+44oU8/5qb8MCGHCqB8i2jrYIB6cscFNR9bnvZ8xnp5EAgc/qrAAEV+GUHwgHPowq/jUzHixr8LoQU1ESMT0RvaBzVtOaAYpSI+98zHj+abHLFsV2QQck0UNQC2Qb1f3NhTOY/APT3G3eeu2bqMOg0BElb03tkmtarjiup7B0QKDoPzjcm+kwFxtishcYCAyPsBYXIc4648xzI2Ne7h73hbayu/zq91EzonAaLQKDooLhEPshZ9X/j6uk/IDStPMKgwMem9TA/mHsTNTHL2c2vcWrta9zbfTlbkrOQQhW0G87ckHCs/x02+Ddx7fRvsycczwR/0VG6anI9Z2QPdZnw5e0rMyDgQEAfX9W2rsKP9g5x31SLV66Y5HfW7eHbk0t5cG4k08ABRAOSoD1TVEpP/RTP//9XOiLAwEVjOwmaTZYFIctqXR6ebfKPT65mKlSWobqZ2zwfUmtrW3Md+9+3LuNdR29iY7fF1l6rz3Gm6hCzj1H+Y98fcFrzO1ze/CDb4lPZnRxPaJo05H4m5INMeI+wLTqJa6ffWQIB1VCdInVlnW9O/zdeMfIX3NxZTNusWdBcABopJcuDX2Fn+FkS02aidlHm1DTIjlRldtXm5OaB9L8xGSCwd7TmAonAOEaYmguaL1pH+7onGbp8NSLNveAEt1MBzze4+kraFve5ynYFGJcBAiExaJSneP6qHjfvGObSlfsHmwsA2WwSCYFsTzOsO/SCGpHxB850JBplYhR5iJERNndCLDxAopS0oCCtFqhZGBCc8ejjPLh2Dd99/aVc+PUb8afaSCWymggODFj1fpr0x1fEzRo3/sxFHLVxKyc/vvGQgYB1IhR4JkaRIAvPo4UilhKNRAqvXNJZCjwTUdM9Eq9O1FqKqgWZX8Ag88APdg5z3qqIwHfmgQFAoJILoNwXyj+EGaw9MEKUw1mlh0bSvmkHjYvWgJrfPFA2lTngO8+4yEwFOTDIwXM+xtz4Mgb29G5hf/QjVtV/jVjLTPjngCB3NHZta4gdnNv4PFdNv4/INDOQAIOT/SSyxY0zb6Kp5ji9cS2n1b/K7uRodiUn0taL8EWHJfIR1gR38XjvfL607w+Jtax4+A82D0z4bc4Z3cdHHj+qBAQcCBjEWx0uDhH857YJhlTMS5bt5fKlu9jZq7ErtDljHl6AB/6Unjt0RJgJfu2j/0692WBXL2BX1wfEwI66oIlA5DW/hRSM1jTvXL+Rv3vyaKTyBpoL7KKybdYpRrO69hDLvccJRIeOGWV7dDS74g0lP4TiukjVgh9KCkbUPl4y9Ldc2/4AQgQDzQU1T5ZMB56APfFXMHRZVX8DngwGagYgZ3SxnqWdPElo9iEQ1OUKmmo9QuROkS4qQRRMEAuZC6KH95DsnqN5zuLcRKDjXNU7Xz7/hdLU6nxmKIwpO5g5E4ROMFHI9U96bBhqs7re7jcXxKGtfhdHmChEhyGqO4eK0pTB7vM4ta9QaOmhXSIbQBqN0jEq7pFIj66o2aYkVkuQFfGJIluYqGAmKP7eMTLG959/Jqfd+mNWP7o5LQhUASRpop8dx6ziRy84g+fd8iNW7d1XAgIq8Epe/s4/QAZeCQTUTQ+lIxIVkCgfLWRa2MogdYw0CVLHA99D4tVI6i2E5yEDpw1I80UUzAN4PjuTIe7f1+IlR8f95gHnL+CAgAMBB/Pt5+kv2TXTkMLO3VOIoYDayctsWK0uOw1WzQPONJBH3FhNRFtvpJtsw5Dgi0U01FoCOWpvXRgbRTIGYh2xvfsfaBKWBW8g1qIUhjyfeSDWMZe3/pTrZ9/BVDJRCEs8FN4BS70nWOE/SlPsJzJ1dsbr2RadSKRVJvh7BTDQCZM+h8E4Tnjn2kf55MY17Au9EhBYiLfCfPwVltRjltd6GASP70245veueFbMBLs3PsrIyPCBT5j3OjMsXXfMT80Ez1V6YKqB18szMRU1AcVOWlVlFbUByFxDADAdKa6bHOelS3Zx7Z4VfVoBIA2LyZ1fPCnAkzzZOZHN8qTSvQZpAhbSCrjrA8zpxdzfu4zTal/irt6bBpoLIm3n6UpItBYYJVjiv4aOvpfH5v6G8eCFjPnnIEX+SY3RtJONTMd3004eRzJEUx2FL8cBzf7oHrZ3v8yS2qWM+WflIYXCznbt77K5wLh1WlgnOG6c9uZpop09/GW1XJ3vhLeYR+W7EBViJHM9RflcIzTCD3j+6pCrHhli5dqeDW9zIYap7bxoYpCAVh4u61pVRV8kUTgvSjSRaSGjHkPhHF1ZIw4CCOPckRAfiJhvSC2f3s/PXHsDt55xMg+eeTwn/uhBVjy+FenUsEKwY/1KHjjzBIZn5njlN26gIXTJWbAa7jcICPgipp70CP0mYdBCpOW+i8+nyR0gB72DUkRFJXFUZh6QEryAW7cNcdmGHkh/XvNAHxBY6Pu7dg7oL6aUYEgRT0Yk+3s0z1udJ9ehrBWomgeqQGAqupvdvWtpehuoy7UIFN1kB/uiW0jMDA11FCPe6bRS0OzImJj98Y/Y07uexf6lDPtnVmL/+3MKFM0DJwVf45HehQsCgfn4h3PSSzTs0OvZEa7v2+/CB3sDtALV5aJFu7ht/9gBgcCCJlgJSWI92iWC3W2P3W07FuJefy2EZ4x+gkILn206IsCAXkALUO2gbruQItuXgQIHCNJjb9k7wvuOfZLv7Y2IdFAahA4YBJ4sDVRiXfKadTRoABcLf7gwm3wgF9ot4ZHe83lV7UM0xH5Cs8iqno1BarLcA1qQmQtA4itoyFNY1zie/fFNPNH+KAKBwEcTAYa6XMOwdxpLgyuo5pga9c9Bm4idvS/RTbayvH5FNgsyFXOBDXiwwKCae6Bx4WrmrnoM77JV4AmbfyCddRY9xg+Wsreauu0XAYFJZ7jWxpxQCxTHLIp5cLrFScNJlntAAKTpjI3UOIwkVF5CV8iDG/i5KaVOx68RdKbxdYeOX0doSUKcHjc/IBBKIqOYC2+/h9mgxoPHref+s04CQRYWtGzbbl500x0M97qpX4G3IBDIsgimNv6G6SKAdn0M4anMR2ChAkaqWsPAgQBXC6CYQdKZB9Jsjw/PNFg7EtOqycHmgeyi/UDAHKg/DMpJUPAZMFrS+eFumi/bAELkybFSX4HiumgeKAKBXb1v0tM7Wdd8F1IE/WmKjaZrnmQ6uoedva/bR8DHEKHRDKtTWNv4HYSopdn+qrkEyjkFnHOfYoY1/l18ZeoDA4HAfDxkEA3iQ/1mgMHp2wE8Yk4bmeJ/Prohu0aRpw7iswN5rNtZAAVZm57N4gQ/BQNPmY4MMJDogeqqDCAMGDDVDlssAZqT4Fu7l3DR4slMO1AslawKgymMy/m2YbBgn2/wuu1eBUhk50rBjzqv4aTga9zR+yWkxtqWU4ZSrFuQr93VfRb5F7PYv9i+p7QwwKA41dI7MiDwWVF/Ezu6V7I3vIXFwfNSB0KrHQDLTOfTDhghoOZTO3c5ndsnab5gGUbHFhA8lYFpdDnXgJSpcTfV0KTqeyFk5kx48kTIfz5U5/ixDjJJEFJjZAJ+kGsqYhAeGJ2myNVJFkpokvx31oxCvK5LzuO+ftgcRfXatKI55lQL5Xt9gMBoWfIhcA57QkqGo5Bz7n0QffcDpXtmNQGCgqA/SCDQEl0SFRDVW9ZXopB4qOhEOCj3QB8VgECW9rlQA8JlGrx/b4Mrjis4DabfJ1sX/QRkASgUjzsYKpxjpAIh6dy5h9rpE8hGsKBWAMpOg46morvo6d2sqP2idRAcMGyFkDTEBhq1Del13NhSmZbA4EwTeXEglz20qhUA245Tgqu5u/MqUu+a7H5FIT2IjxwMMHDH5ROa/vTtReBx4egerp9cQqIpOQwWta7z8dmFQIHBZCaE+UwMP6XnFh3CiPyvpapna9Xb1c4K8qV4XukapnzuPdPDnDA0g1PxD0Lpg9B1XDgG6Ns23wCsHlOkrdGJLFWPIEhKMwlHZSZjsoIkLl7ZzuCtZkAIkeVbX2ix7w6W1V7L3uj7xDqvlGcqDDVrh2O2hbb5q0cwkSHeG5ZVw4eyQHnmWIpJF/3Hpb+VhGMWxTw2VcNVvcsK2xRmucViN9WaBoPqHLjaCK4CopB5GuKk1iQMmrSSWYSkkvjHL8X/qwG2fhW4NMNyYE2AYt2AorOgMw0UgcAQHSKvTlxvZZUSyxkV02cYlEJ4QErhzBzgtADZ+8rrDzw5V2ftSJzlFHDfpPjdsm82HxA41P6RLslUhJ6N8NeP5X25ohXI+uoArUCku+zufYvltTeWgMCBxopIx5YDpA4IFMfifFoBcKBBs9L7MZuiM0tagfkmFAvxEbdU+dJ8fCwesO20kSlu3z+/bXwQEKjy2UG8ubh9oQqNTzs5P6WnuvxUM/DcJj2gQ1U7Z5WqZZLn0w4kGrZ16yz1u+xNmuk2O1AWUu0rKQYi9YX8BNx14sK1yyTYHp/IEvkQe83J9pyCqaBQdZfEpOGAWuB4sbv+oBZU2953Z6FYGlzOZPhdltd/xqLEzGRAaiYAgbHpUVOy20AJSf285XRu3sbQpSvteVV7/0JUNSU4DQFk5oKidsAdb4QGqThhPOQbj9U5bqSTCv1UOyAVIl27N1Cejx0cVd+YhDShkaAVzjKnhkoaAqFVKcpAh3GWulgGeSXFopq+XPhI9iUUclEDmY+AFAzRJgxa6KDepw2olpO2vxf+Htnsv1AuuKQVSM9/YF+dS9b1yFjIPEBtwA0GrxduFECmZejetYf6ef1FXIpUBAXVIbknvIHx2sVI4ZeAgKP5xsqgY1yaYffbAfUquW2L1RNMJhts+vFKLxwUQTCI3PaiFnPQOcUJTPX8RBsW+SF7Q58kHRFFX4HqJArm57NggZLRuTbgWQUABTrcYkPPlUJFVZqenubOO+9kcnISgKVLl3LWWWcxPPzUnSWrdESAgfnUUzC4gxb3VTvpIHpkrsWG5hx7Z5oDbXC5jwCl7UC/up/5jxlEJcajBFujU1np38/e6GQSbZCqfK4DAbIgnhwzkqK/VPNC93TAIY2eoqVOZnf4zVQdKrKwObAzLEWZMRZNBQaQI3VQAt1OkI1Cux3DX2igFeLMB/6HNDe8LJsShBV6NV9R82AuUbSUsr4DDhQoBVqXQMDCBhTS89N2aws4BgOCGiFkgEBKmXp0eH1hhw4Q6ERjpMYMiPE/FCDQMm3CWhkIZGmVnUYE+gCAKIKDKpWAQ79WAKnoGQ+BoBEIC7KKDoJVX4GiVuBwgYCQ6K7GxAY1VrP/zWATgaMqe9AGpuP72ND83VwzVth/sAIZ8vs4rUBpn85NBMV7r/DuZ0t4yrzXrGocq78H+SlVedB8zojVZ1nfmOOROeuYPUiVfygCvchrgRK//amZ4KnTvffey/vf/36++c1v9uc4UYpXvOIVfOhDH+Kkk06a5woHT0cEGCjSwQKBQ6Ft3RrnL5rqAwJx5b+jgTb/AcfMd/yg32AZyt5kDSfVv2390IrXc34DBZGkTXmWfrgkhKAmVxDqXTTkMoAMGDjKZlzz3NZfP0K0aYbaCWPp8YVcA/Mx/2JSIqchKMTFp3ONQkP7jwNYNxyzeTbghOGw/9mktAIeysJRD06VWhSY1S9cfHQHCCKjacZt2n4TIttakaSCuZDzPztn0D0HqfgrpYkdEGjSJQ4aCwOBotZhIQCQPUwOHrLjB/gYbJkLWDOS9F2zaAaoJpIqNKS8rv4eQMVrRVvm8I86cMjXoGFpTQT78MUYZoDG6mCAdN85BR6UzHN68ZgxtYVHe+cd8n2yaw3gSU+l3QBL/C4PzbYOfOBh0LMOBH6CHAhvuOEGrrjiCmZnZ2k2m5x99tmsXLkSYwzbt2/n9ttv56tf/SrXX389V111FRdccMFh3e+IAwNFsva+w+9snURSP0jP8meaemaYmpi1wv9pFPSDqGhWcHdqqnV09CYaLHtK11SLaoQ7DjGUqCjU5/s9wJGwNHClYtlwxI93BpwwWhFgUmWRBQJyUOD2LUTaCr1MUzBASyCBpNZAmoRa0qOrAhuFUaiKqCHTDrhzqj1uUPXErNZAYVuNECMUsVdHHQAIiMpM/4BUAhCFazjtgFLs6vocszgGCkmGniod4rl6KsRbP3rIt3HvupNspqnWAf1ag2eD6mKKjj749j9VQX9QbZGaTnIQfeIwaCGN7DNCLo70cM5/DlC73eYXf/EX6XQ6/PEf/zHvfe97abXKwG1ubo7/9b/+F3/6p3/KL/7iL/LAAw9Qr9ef8j2PCAfCYocSUjztHayhDLERfYi7aNdXA34XC3JUz13INHAwVJ3xD9IAPBNgwRdjRHrqqV8g070eIkIfFEo26PKDKnml20YCw0yYnld0FhxEB7Cd58ep7Fql68myY6FUkqjWshn/hC6XE1aqUEmwPOMvLoPKKFcdBpU0+Ca2OQSquRHmAwJSHRwQcNc5wPHToWK0Vvm2g2b8g0wE1WMOpj1FBv1UHD4KFJkpfDn21C9QISVE1iXUPMOxOHaF9bM/+OsfgK8sxIOqx1f3x0j8p2kSVPTPqvLnZx0Q/ATQlVdeydatW/mzP/szPvCBD/QBAYBWq8UHP/hBPvShD7Fp0yauvPLKw7rnEQEGAKQUJQfAYuar+cjtO1BnHA9C9kQBMP9gG/S7SgsN1EHH9B0vBL7oEDEY3anUiVAVnAmldGWQBwOUhUCJ21c6QkjMQCU2/ccOoGRPFzUW5MdnHlq6vFTpqarnCoJFybJ62Ohk/ox2822HNNqgMjSkq2i4AMAQgm5tmIbugDF5fYDCuirs88eo2vVlCUC4dT1u060NIzxVARALAIHqcx0ACBlX32EeirQgOBDnOBxtwQL9RC2qoV1d46dy6dSj41Bo0JgqFiuDssCXaTY+KehzWu6aYepi5infv7pt4bbKeY9VUrA3ClgSWJPaIB45OBy7n+YDAgd7/tNKVT7zVJbnAF111VUsWbKE97znPQc89t3vfjeLFy/m61//+mHd84gAA7LSwYpphSEN+akWu6n8n69jSinY0GyzuZsjr0HCtOj17Wp1V5fiuQdL1fssUluY1qvyfQuAHbevCAQElLLnzdem+doY6xk8MbRgm4VI7yHSd+/uZzTRE1P4a4bIUgmn2/voGRiA2QSyKszcb52UTQSDSFZmtqX/VcHarx3A90mkhy9z7QAwb3y/C1e0x5TXbr+9nUSZ2CbcyYBJBQhk51SAwEEAgIyKlQ1dps+s+JP9r4Qhfrq0qQdixlnlSgNG461sEG2cybZLgV0ql612b7ffE0PExgrj6tBaaCIA9I0tBwiK43AhASgFTOmVjPtb5j2myEfmI7dvEA/y5pkMqMo+gE2dJke3cmBV1cBWf1f5bPG/09jKwgL9k7hnmlyhoqe+PDfMBHfffTcXXXQRfppJdSEKgoAXvehF3HXXXYd1zyMCDAgp0lmQ6Ot0RbOB65zzIdX5zA1Ht9ps6jRLA2jQoFLS1giYb98gUDBIqzA4rNDSKv9+dsYnlJhZcZaRzzpEphVw984FdEFgU2Ze84EV98o6ehN1tbqwPR3U8+gEHDPGaJK9HfttGrKvpsAzhr4L15rrGZreYGFfKtNbrXBYpEEagwogqNrhHSBwFPlNfN3L/meOgwMqIlZpUIIgt61GROjVM1+CQe0cCAQOhorvQuscNCXl92OShCEvYTY8zJn/gfYPWIQxyEAgGopk95zdVjhNpiV9ZUlgUfrdkKvpJJtL42sQcB4EAtw1imPLAQJfiT7NnUqBQrFNk8mJLPceGGjiOxit5EJ8ZjDvkvOaNXdGDdbUOyXzhpT9E6sqzcdji5M0x7Md3/4pHRrt2rWLo4466qCPX79+Pbt27Tqsex4RYEApiZTCOks5gV8ABUAJKBQXKGsFigU1ANY1uuzs1Wz41jxCPvBUBgTs//J6IVAA5UG+EPKXQrDS/zG7k1Oy/7LAVAYxGl/JDAQomQtnWQAF0A8MGPjf0Ek20pAWDLjOkSWRE2WGKwvXwWi6t+2gfubiMhNPCwv1AYGFZoLF9UGQMAZ0wu6OYrwe2+yBWueagCTJf6fb+zQHh6IxYLC5wGkHjFTI1LAtD6iS1/kMPM09MPAZlUQajfGC0rZBkQMHBAIlYDSfFsW9P51pBRxAGK/H7J4TGJ2mdl7oOx7K/4NYhDE0zlhM97ZdWXts/xdljRXlfuuoriboJduzMsnF8VGk4nhx46g4vpTM7+MAgZRUwHoO4h1o350cxwrPZp5026rgozpZqGoC3LYi/6nyoiIgcMXWlKyCCMmmbpOjm+1sYlV6BwfBX6sTM5nyaMezHd9+1ugnxEwwMzNzSIWShoaGmJ2dPfCBC9AREU0gPYn0JMZ5v2vr/661AVlGNIOKFUHamUVZmyCl4PKJ3Vw7ufyAyNpVMhxku4ND8/odiNSFYJHaTFsvISHAT7dVtQK+EvhS2nUGBEL2R7cwHf24YO8XDHknMOafiy9HS5kE+xhfumE2vp+WOgYlZR8jdYzPXrlsIsBoosf3o0Z81Ihnqxce7OAakE8gowHbFzI9bJmWnDDaTXcnJYFW/t8v+F2KYqRKIwYWYGDu2IUfjKpnsisK5IS+qajknUnAJPa3SZLcl6ByrUH1Bg4qfLCoFYHBZhMXQZGmcCaRGJkgtASdsKrR5c69Ixy3NO4/1+jcXyAtBCIgjzgo7j8UIOjOExLV9FATdeJH9uMfP46UXhbyWn0aiSBJa2mQxsIP+ycxHd/NqH+mTZolFh4X2sywP/ohs/GDmOwOghHvZMaCFyCppQPFxohoY2w9EeHWoIWNDhJCsTdZxzL/UbaHR5fuV+Qlg7SHRb6x0NrlFFDpoA/TeipF4OC2fX//Uq6Y2MJjTx5l045LC/K1xuYOkDnoPxBvddtEYXtx/azQ4Qr05wgYqOYUeKbOKdIRAQZ8KfGUJJEuyYfNkOU6rVB5iGGVRS7kaLim3kMCk3GDwKtqA8rlizNtgJJ9Kj5tDEoJEtmf2GM+qoIKKQRnNv6TH/deU5qBF7UCfnpvKd1vmI3vYXd4LePBBWwYejtSBGmbIqai+9jW/TySJktrl1NXy+d1DTR02dW7hqNa78zf3QATgShoBWz7wHQievfsZuiyFXkZ49QG1ze4UuF/sOFopVLI88wmTZKgk4TJTp3xJT2Ic02AiSJbyljrbG1fkMs5kNYn4CAAgQstrG6DfnW6EAhj01iXtjtAMKhyontmJe3+yozqoHrWQoBgEBCoagnSa2TJqLQErdLvat/LiBcyFSp0EqJkgjAKk37vvDDVgHY4gb4A+BPzAQLXb9IiWI1TRpm5djtqzTCyJRHYGakUFBJh2bTAQgCGrObGRO1SHpv9W4a841GimQGC0msU0Et2sTv8JrGeYTx4PhNDv4YUNfuqTMT+6E6ebP8dS4JLGfbOBCnQxoJ10CQm1RYYm/1UGdBS8GD4Ks6qf5ad0X9Lb2ZXg3IIFGmQybHoPJwdJ8xAXuSu70lBkl5jKq7T0x7rGm0ebzcKVTjLgMAMyOBaLV9c1cY6Xwr9X6EZOJzzD5G2bt3KH/zBH3DNNdfQ6XQ47rjj+PSnP83ZZ5/91NuBTTj0xS9+8aCPPVw6IsDAb61/klazQU9L7p0Z4ZZ9o3QSidYGkeW/Tg8e0O+qqNVqBeD1K7fzxR2r+7QCRTOAAwKBJ/GlYG1wN8cG36cupwDQRrE9PpFHw4uYTRYdcCA6Kg1sIRhXTyAwzJi1mf2xqBXwpUwBgf0tMOzqfRVt5jh+6HdRsla6nxIB48EZLArOoB1vY2fvGoyJGQ8upanWl8BRrGfY3Pknltd/lkA2rcDP3l36WgsAxWkFlJUWdG7eSv2scaQ0oGOEMw1UBbhIo+tlDi9MaV+BFhqUppJyVCfsnBVMNCILAuLI3jsKcxW3AwI6KRUholCkqJSd8CA0BFn+Aax9v6jiFyYPIbOagFRDkWoF9ACTgMa+d7ddS41Q6TlS9AmsQ6L5gID7P+CdGFnO2ohUEIcIKVnVDNk6LVg7XrlPKvCFMZhCe8tAQZaPT/dn//UAQJCe47QMQkLj3HG6N22j+dKjUNIaZpQgE+6iCAQE6FRbo0SNlfU3sLH9D6xpvBVfluP+28lGJnvfATTL6y+n6a0ujAcnhAOW1p7HYv8stnS+zFz8KMtqr8NXORDwlUSbpE870GYZPTPECv8htkfHp+82ffULJCWrgoCmnOb4+o2s9O5DCqul6ephHgtfwJPhWajCe060IUjLWbvruuXqyZW8ecWT/PXj64llnsVUSlECBFUqggD7iQQ1ZTh/0RSnj07TSMMWr9vW4Ia+s38yaN++fVxwwQVcfPHFXHPNNUxMTPDYY48xNjZ22Nf+0pe+xJe+9KWDOraafv+p0BEBBv55+zH4jRZ1GXNKaz+/u+FJfjw9wrd2LaGbHuPMB4P9v8p2LykFFy3ex+OdFlNJPdMKlDQAnioBgaXedi4c+gyTyXHcHf48PTFhL667LFP38MLWPzKXjHFb++do6xGQtk1VUNA3uIVACc3zW5/jps7vDNQK+GmbfSkzULCj93kaagUrGq/JBDTYWXxenMWWGR7yVtL03kY3nmR3eB07ev9JXa7Al2OEeg+hnmRF/bUMeesyIOBmWZJ+W6zTCggg2rQfIQzBshokoQUCidMMmApDd+1KBcIgUEDx8DKY6Lteeg8D3D/pccbi2cwGbuLQCt841QzEkRXIFfV85smfdxaMTsqAIN2+YDhilYzJbCxG58Lf3b/YDpPozElQA0JqqjkE+pXYh0ALAIFB7wRAJBqhcps8Ullwlb6TE0bn+MHuUdYsiqxWRIjBgt4hnDR9tKloBuYDAX3fmgTSAkEiFfz+eEDYkERP7MPfMD6vdsAYq7IvageG/KNYLd/Als7/wReLCNRSYj1NV2+lLlexov4qGt6ybCwAA8eZFAHrWm9iV/d7bO99lhW1t+ArmRUQ86UkMbpPO3BX7828qPFhvh59AJ0m/S7yhqLAduT4RUPOcm7zSkbUTh4NL+X73ctJqFm+ZSY5xv8up9Wv4ub2r7CLtdn17LpQlj29/lwccO/sKJcu3cM3d41nwt1pAw6Gp3oSLlmyl3PG9nP79GKu3LGOHtYTPuocYhKyw6BnuzbBX/7lX7JmzRr+6Z/+Kdt2KI5/89EHP/jBw77GodIRAQYagcQPFImW/GhuKXfMjHP28B7ee/Tj/N+tK9nYqWf2rNynoExFILCsFnL+on18csuxmbAvagOcecAtx9bv5NT6NdwW/jZdlqKUIAv4kE12m/PZ2TuPMR7ksuG/5tHwhdzfvcTa6QdMLKsqvjMbX+HJ6Pn0GM8GvNMKOC2BL62/gCcFu8Iv01ArWdG4FCXddQrXx5Y+NoAQJgMFTW8Ja7w3oLWhp3cR6mnG/HNpqKX2HRWuUWJ8RYCS2geVABOF9O7YydBLlucagSQumQoqH8EKBdJcBhqqmoKBVNUwFPwRTJIQRgkzoWJMdiBOhUqSAoIUCOgwKgllsOp4Eo3UEpFopPPNy2oSJLna/VCBAJQcAosAIAnjkpbAHSuURFIodqSs34CREq00RpKWWz70MMH81Q0GAlVNhVASqWWhTr3KfSXikKFAEulRuqGhUTUVuG9VNBVkGoN5/ATSb9wXhVIkByiMyjQEzTNGmfnWLrxVw6h6Pe3zuVZgkHZAGoMW0FCrOWbo3fT0JL1kH4E/TE1OZE6fRVAsCsDYjbVsnBlY3rgI0RHs6H2RFfU34UuJlpAYjW8EWpe1AxEjPBK9lHObX+TW9i8ANm3xoIgCyMf4cbUbObH2be7q/Ty7w5Ot86IS+OlgNUzwYPJzPJ68lOc1P8pD4SU81Dkf0r6d6Fw74NbOd+Dtqx/j3ukhtnZrJXPioN5W5Ker6z1+YfVWfjS9iE9sPd6GwXqCRtp2L3kWzQSu+uDhnI8tDFSkWq1GrVbrO/yrX/0ql19+OW94wxu44YYbWLVqFb/1W7/Fr//6rz/1NvBfAwaOiGiChm+FcyOwa99T/GhuKf+8bT2vWbGTly7dmyY7m9/j1XXcQBp+ec0W/u/2taUIgvnMA8fW7+SE2vV8r/fficSEDS1UVovgfvvprH0/J/CdzgdpyWkuH/4wTTmTzuStr0HRWdABgdXBfSzxnuTR6DKgrBVwPgLWWdD+n0luB2JWNC5N71uOLihFHqRAwTEw4Wz9UtDwljHiH0tDLS1FHZRmQgfQCvTu2U3t+FGkhxX+SYxIokxDIHSMSEK7OLCQLkInuaOhHsD8i74ClW1OoLgogkf2Ko4d6eYagTi0poJ00WFEEsUkvQh6XVSvjex1LEBwKnut0WHU5zl/YEfBfhImQbsCO6mJwP3O7xWjo9i2K8rBgY7ikvag6FOQCIk0h94e9xxVIJDdP4zRYYTsdVDdOeh17TtL21h8r9b0Yr/L8SNtHtqTm0oyKn6f+dT+xe/rgIADka7vVPtPEmZ9x4LOGKGgdsoovbt22WuQg+wiiK0KctvP7VKTS+xY8JYjpQVAuad/PrY8SebY68kcpLtjljVeiC/rTEU340nn7OuifvojC56ILqIl97Iu+FGWr8DZ2au8oiHneOnQRxhT2/l25/9lL6fgK0lNyT6eVPMkRo7z/fCPWO/fynH1HxCo4qSnPwrB9xRf2LGWX1q9lYY0JZNqHx/1ZEnD+sZV2/jX7Udx28wEfmUiFXgyNZ0cWbRmzRpGR0ez5c///M8HHvf444/z8Y9/nGOPPZZvfvObvOMd7+Bd73oXn/3sZ5/lFh8+HRGagcCTBIHKvGx7sS3N2Ytr/J/tR3PJou382tqtfG7LKnpaDHSSc4Pwzau2csPepewvmAeqYYQOCCz1tnFq/Rq+1/vv+KqWOe2Vso0Z0EKkxUgkifC5L3odY/FjvGz4w9zefSNbwlPLbUnPX+xt5az6v/Hd9n+3zKCiFSg6DVp14xR7wxs5fvh3S0xIybIS2QDCiNRD2rqCpXPVbGYEVl2atSldF2dCtq3lcMJMK9DtEW+aoXH5ctBRyryTss+AyZN4GJHODFPtgJG265W1BJThaVVtnP4uro1OeHxfjZeumCprBVLfAZMkJFEMvR6NcJYEQWysz0Uz7hCpgMhvQOCn9vqkZLo4KA99cpu7TjRKJ8RGZt69umoeKM3G0xlakiCURuFhlN0nE1vZMAMGSqF0TILVNBy8hqA/V0AGTOIErzeHn4REKDSCgAgVt+n4LRKsWl6CdSz0gswUc1Rjjqt3tDh9RWifv2gqqJoMnP9FyddjsDZgUP+BJHXKdKAxwCQxCEmwus7Mg7vQ7S6q1VxQOwBkNU1SD5YSEHb73RhwM3KBCyEsjDWRjzWBQRjB2ubP8sD039DyjsdX46m5QJAYO7aL2gEpDLd2f4NLmh9iTi9mMl7X9+lsuPGDnNv4V+7svYU9+ngrvKVMNYf9PMlHEAmDlAG3Re/mwtqHmNbL2WqOyiINEi0zfuqiC2bjGtdOLuMta7bwqU1rrEPkgIqvUgoUhjev3krPePzjlmNSEJCDCxeGDeDFz2z9gxI9TbUJNm/eXArtG6QVAOvBf8455/ChD30IgDPPPJP77ruPj3/847zlLW956u34L6AjArLVgzLaLNrypZRcu2cFP54d5XfWP8mIl5SyYGWxrkJw8fgkU7HHfXOL5nUazECBghcOfZpbw9/JgIAvBXXPhvXV0nU9dSz0pcBzKn0l2W+O5tvt/8HxwQ08r/kv+DJKGUAOBF7Y/AQ3tN9NTIMsVrkwy5fCRRHYNu3q/SdrGq/DV14JCFTjlYuaAXeNEmNLhbqEbIFcIwCDtQKZhgEIH9hD7cRRhElyP4Hi7D8KIexhohAThRCXzQd9DL+oLi6q+qqzSbdOTQS9GKQw+MQWADgHwtjO8nUUQ69LvTfDnKkxmwR0IklH+0zpGmhNLZwrOfWZSmTAwWgHihkGhY5zzUDBL0BXZvxJqNGJIQkTdGIwiSkDhsyEYO9vy1cPNOAesH1lrUDejiCcQ+iEGRq0tU8nkszqgGkd0IjmEHFoNRcZwAozMKBIqEtNu2dK76joBzDvtz0AEBA6gTjO+k9fH8q0SzHCJNRPGiW8b0+mHbAarEJ/rmgHcu1XvmTjojJesvElFhprdu1JxbrWm9jR/Y+SlqLqEOyuY0SNGzvv5YLmp1nqPZm21Z2jObf5b5xcv4bvtv+oBAS8VFNozYc5T6oV+ZMUBJ7PbeG7eEHzn6lJXeBzso/nKSl4uDPKtl6DVyzbnbe5sgwpzbs2bOSxzjBXTa6yZoGCRrVW0QzUg2cTDOjDX4CRkZHSMh8YWLFiRV/54BNPPJFNmzY9LY9zxx138Fd/9Vf87d/+Lffff/+8x33lK1/hbW9722Hd64gAA9aGXwYE5aQakvvmFvHVXSt551FPMhFEubotHYinDU9zzNAc10yusNsrg8ANENeRj6vdxNb4bGKxNHXeK8T4S5kOxFyN71SGDhAoKdCiwU3dd7FXb+AVQ3/CcbXvs8jbzin1b3BB81Nc134vPZbkNsgBDMMxkkjvxdBjyD/KMjVyM0C/mSBPTewAgWNwRVVpMWPjQCepkg+BBQ8CwGiijdP4a5sFJp7kQCCOM7W0deCzTnwmClPVfn8ion6HsZwW2rd9RrKildZ7ds6DbkkSdJxQD2eZpU4UWfW8Sdza0E48MBoZ2YyBmSPdAZMQzc/gipEE7ppF3wD73xQiC0y2Ltrui+eBtXc7HU+WZ6BYM+EQSCcaGfcQOqZjajZc17UnjNEJTOsa9d4sJrYAIhPiWVInzapmj20zInvu+b5THw3wHRCFvmScz0e1D6VJjrK+ljqr+itrxFvnMDopC3uRgwJR6s8L939JrgUQqZZOLjDWsrWElrcCKRSx2VkCAvNlJeyaUb7b/j3Ob/4Lpze+ziJvO8fUbuaKkT9mVi/nxs57SUSrpBEo+hE5M6UFBSl/SkGCEgItx9gYv5AT69f1OUq7yRDkPPG6fcuYCHqcOzZVNl0Iwbgf89vrn+Qbk8u5e3Zxwc+qbHpwvleNwMuiGH4S6YILLuChhx4qbXv44YdZt65fy3Oo9Lu/+7ucd955/P7v/z7vfve7Oe2003j7299Ou93uO/auu+7in//5nw/rfkcEGFAid+wbLMTtsi1s8blt6/jVdZtYWetmnXh9c45Llk7yr9vWUUzPmV2/MhiUFBxfv4HHk8utKq4ABKR0wp/Mjl9OR5oPdKdW3BRfyLVz/51AzHFK7evE1Pnm3AfomMVZG6pFT1QFEEzHt7KkdkHqxFeMRMjVmqow65EUahWkTK06O6pScVsOCEQJPADouQjZ9Oz2is3f2fFNHBH2InbMQBTndniTJJnQGJiH4BC9efd1JeNBlAtvN6tPBakKu0R4JLogiLUuCdqOCQjizrzZ//pqEsxDWZpgMeDlQh4ymAp++7u8dmaDqnc/0Fewr6/ewUG0s6j1COIuXWroivki114YQjxU3CXLRFhp23gtYm/3IJj9gO9a0gq4Y1KNj/PdiMOInbPQiwohonFZqySMRmBQoz56ysYXZeC38O4g7/+DqAgE8jFTGM+VseYAgCwc57QBS2svZF90i90vczBRJccjIsa4du6P6JpRTqldRVPu59tz7+fR6MVZ69351URkSuQ8KdMkOq1iOpt/MrmUo4ObsolK8f7FtXtbX9i+luct2stxLZvVTgnBRNDj7Udt5F+3rubJTquP/xY1AkW/hIXqqzzddHh1CQ49EuE973kPt9xyCx/60Id49NFH+fznP88//MM/8M53vvPAJy9AX/jCF/i7v/s71q5dy5/92Z/x4Q9/mJNOOolPfepTvOhFL2Lfvn2Hdf1BdET4DEgpCp3WlnF1iDaRIvOITbRhT1TjHzYexa+v3cgXt60g1JLXr9jBxzeuJ8aG5dnrDEbFAIGYIzYNEuoEBYHs0H15UNssY7adlEOICrarmAYPRS+DKD8zU0PKfFYyaOAoKWgnj7Oq8dKSYIeCfTPdpisx1e66Rji/hsJ7TY8/pG8hIN7TRo3X++z3jpEbnbC/Y/jOpiFWtSJu2tbgsnVzDDelZfLzFO15KtRLBPX6/ANYJT26wu9X/adkY/i9/gIl1Zl2tYBRSiUB7fwGpELpBMfEi9UKi99/EAmVn9P3LNKghSrXJXD1CAalIB4QDlnMhyCMRgsF5E6LjpxPQoRHIw4JkzQArhCeKICa0vSSKkw5dKoCQ6MT2pHgmieGWdkM2T7X4EWrO4y3iiaINIg2PU+N10j2dlGLh8vXPozmFU1kQN9Ys/ucz4DjDYZh7xi2da7pi5KRhUGnhCjxCIPi8egiHo8uyrbNxyOKGkEHCsr3AZkmPVJaEIuAthlnSO6jw0imCQXdBw4SbX2LPr15Hb+57gm+uE2ijfW3+vSmdczo2jwgYvDE6lmtXjhognGo5x8CnXvuufzHf/wHf/iHf8if/MmfsH79ej7ykY/w5je/+am3AfjEJz7BokWLuO2221i61EZ7vec97+F//I//wV/8xV9wySWX8O1vf5vx8Wqij6dORwQYqOb5r8bfVmkm8fnEpqP4o6MfZtiL+cDDJ9LRioP1txr3trM/WTMQyWcVAgvCVUpBkjw1bqMNHJxoTJCiXMHKNa8IDtz/YnurIOBgyLgUdIP29RJEbeEkQffuqfHClbMsbSRsnvF5eF+Ns+vRgup123jZ9z91exx4H18ZQlO4ZgVoWNYs0jC9AbPTQiEVV30wKxDkhGy1LDCpDb6Qo8BgBa1INNqvEcTT9GQNXa1fkGoPjDIkCUgl0IlBFqrFZNULC1UJhZL4aaEi6Y4pFiUa0EbIZWAmD0vmjxwwuns6QODAiHaaJDd4KmaJUEt892mEsN9rUHbJg8k4WclB8Mh+nzOXdlk/3GV/T3HXniYXt3rpM/SzLlFT6F7/N366CtH1VUItgO9iKmRrjsuf95meGWcTnPQ+iTEoYR2bowIKmtJrGVNb2VtJsgQ5Xy3mRelpxT9uOor/97gHMEbwJ48cz2zi9/FRN6kqT9jyydZChdl+EuhVr3oVr3rVq57Wa9599928/vWvz4AAgJSSD33oQxx11FH85m/+Jpdccgnf/e53nzZAcESYCeJCB829YRce4cMqZjZR7OjVmPC7Cx5bJWMSNLKE2h25bUUBW83ZvRDpNBlJ8RruWbRhoODO9rv2Ze3M/2uTz/KLV7D3Y55nWfh/8Xx7P/tb1DxMWPEWdzkElK3qNxTArm4NhGLzXI2xhkmnK8oKjeJ55IIESI+Tg1Xd6X3cvRY3DJNdJ7SLQtwKUi09vDQTWibs3aKsA6ovExIV2CIrTsjKfC1cpcLCkm+T2X9bwVAifB+BsbsCDxX4du17hXsLVGCPz9fSHqMkKvBK7bXqaA1+gPS9tECRRHjBvG1kgTZKJUm8gEAmyILmolpS2Uu1Efa75KWT3ffZEwYsbpp+kOeiRgZ913R/tm8AgBBSsaim2TzjY4RiVzdgyNf5dyme4/pQqBGBysYDFMaK688YjJlfIzYIOBick3phzBeuoQ2lCKbqNebjFYPGuuMPRR5xIPbi5iGJMTlPGcBLEmNTJQ3infPx1Imgx94wYG/kM6QGq7USbUo82m0D+rY/43SgaqkHXJ7l9s5DvV6PiYmJgfve/va386lPfYr77ruPiy++mN27dz8t9zwiwAAUQUA+7OJCBy6uV9S6/OKqzfz9E+v5n48dzcsmdnFsc7bU4d3vuPI/0YbpZIJhuQOwg9dlE7O/ywPWDTq3X5v8HMgFvDaGltjBMf4NLFMPoCsz3KKwTtLrFq8jCEhMJ2NkTsA7AW3IF50yLmMKjAzHtHJmaNLz3UJ2rj2uOI61sSWQDKCWtEj29HJmrrwy85eKUydipkPF154YZiiADYu0FVjKMnKkZ5l5cXHCwv2H7H+f4Ei3rR6FzbO1DIRY4WjXQil0o0VN91BeKgRTIeuEs5RQ1z2ieivXClSErL2eXwYSnt8vbD0fkQrrsDZEQ4RW0BbAhwq87N4qUBYABGUgIFPQUAQSDRkR1YfSYxR4/oHbmLUrGNjGpDlk340vy4AgfT9SCuqmR1xvIn0vfS++1b6k99w4W2fNaJJ/18KSfbPqdy38L37XbPE8kIq1Y5rxpubrTwyzu+Nz5oqk3IfS811/SCZ7qCWNUv/XJge0VT5f7f+ZcKc8dor9vzrWDOWxZo8zJDqEtHal1mR8YxBfy3mEZkI9xDH+DYzI7WWeoE32HE7oZ7xH5/woW3SRZ9llWO5gKlla4He6xDurv49qzPEzy7bzvx87mr99fAM/v2orK2tzJV5ZPdddt7j/WQUExvmbPMXlqebxeJppzZo1PP744/Puf+tb38o//MM/cN9993HJJZewc+fOw77nEWEmiBKNiXXWycJYE8a6r1Mm2rCu0ea1y7fy90+uZTq2j/f3T67ld9ZvJNm1go3doT5AUO24M8kYTbGHOImRwkdqg0oMoPGRmU6+CBSixBBl/+3AT9L/HjM8r/nPSCI2hWeyyvsRZ9av5AedX2XGrAasvlEKg9RWvae1rXGgjSHSmpY6iX29e1jWeJ5VSWqrWk4MiJR5ufhpTSrQC21xzLAIBKA8o8nyD6RKeQOYVAXq1tqAavnodoJJQKSFY4xUYDxr+/Vsx7pgXZLfQQZpvvvCrE5aEGGcQM20BPmMTxidQlaJSWLbsoLgqNUDWoFmMqoz7tnseML3raOZ5yNqNeJek1bUpV1rYrTBpY/0hKahO/QaI6ggQAZ+Wch6gRWoqjwzti8pFYCJxBbwSfIqf4BoNBFRl0BodOCVBpotBCjRUYz0ybIPOiCgfA/VCPDqNaTvUbNymKTWQB1KGyFN0JNAmh+g2EYJhENjtGb30/HqxMbL3g3G0BQ9tN9A1uoIP7D3Su8tpGJKN/CUoFkPUhDo2fwRVSCw0HfVWDNQmntCgI0S8OzvU5cnnLo86utDRnq2/6RAVCNJpkLkWBPX63RBSNt+XQbCVYOCNLlBSgubNwAMaBslYE0B+Vizr8lk90pSoW8M7Ivuo6WOy3iAm0g4wVwcl4kxtMR2Lmh+ij3JOvbEazmj9u8INLd230poRpmPR0TuQyZktvkcAECk7b2jJGY02My+ZBlhnPTxvCofXBnM8bPLtvN3T6yjo+13+/sn1vFbR23iKzuW80R3CBjMQ8NYE3gQxtaEEM3nmPsMULEk+FM9/7lAZ5xxBt/5zndIkgQ1j4+VCyX89V//9QXDDg+WjggwEMY2RKzY2eJK50u04fjmFJeO7+bvnljHbKRwbKCjJR99Yh3vWr+RL+1YybawBQzqyJpE2wQcj/XOZZ13PVvNS4gTQyRyloK2tninGdA6BwJxYoV3km5bKu/nnMbnuWXuF9gRn5A9U0tOcsnQx7m3dwXbkrMAkTIHa+OXDlAYO7NoqXPY3vsk47XzkEIijEBqQFrHJSNy+682JtMEJCkTMtnsgxJgKJJLQuSYohCWEdp7iAx0aCMIjltE+OgsteOHQHoIZVVsJo3zxgNRsOVnMzinEZBeBgzyWWJBI5CdJzNnMZRnAUFaslYAxmjOXWO4/vFhXrk6Qni2SJEMktysMgJJ26PVmbHvGYFCo4VHb3gxslYrzbazWb9fmP07ck55rtqhTDMpJs7mblMryzrEZhH1qd3ooE5IDgicOj6pGF9lCgZk4GVAIKgpGnTpDY2j6rX+NkoJvs01m7UzS6ds2zlfG7PxpXxqc/tpJD105rluCIMmNIeQ9boFAUHd3suzgOSWncM8f02CUD6moOkpfleXXGre7yrSCAJAGJl9V1JQCblzZ7EPuf7jQEH4+Bz+0WMgXHGdfDbuBG4VCAzs/+lxStrSx5m3RTYOymMNUgGvc0EfJ5rJ3g2sqL2VSOt0HPdrDh1QWKbu4czav3P93G8xlVjV8EO9i5jwHuXS1of5UfcN7EhOx/GISANp0QcL4KVNZJRWhnJ8I0q0XbRhjbqFTeHphLEZyDuLy4Tf5vUrtvLRJ9bR0SozbUxrxd8+sY53rNvEjXtjfjw7ll2jSHmJZOvYHcbPjdn2kURXXHEFV155JVdeeSVvetOb5j3ubW97G8YY3v72tx/2PY8IMNANEwIv77QuA2FRQ/CC0V0c25rlI4+tJTKSan2Cdiz5+yfX8tvrN/L5bWuYjBql69lOq1HS/r5z9hLeOP4htnTOIWIMmQDI1Dknd092AjZKtF1rTZQYEpNwavAfLFZPctX0++nqRnYOwHQyztXTf8BLhj9KLZrlifgipKaE/KPEIIVOwwxrtLyT2d27keX13NtYO8ZlTOZEqCvC3zFC6yWcz/ABjImBNDOgSZ2ihAUESQEIJNrulAaEAe/4JbS/+jD++iGUH9h89B55VTkh8xz1UBb20rMMVXnl7RUbcMm7nFRIFAGB0QjpMdKCVSMJ908NcfJIwdu9iPKVIm62MFGMwJAIifCURd2p+jwTtKmALZoA8scop98VaYlfI9PMhTov/ysbEJpxmtN7EEGdKC1+oJUFAjLwSnUSHEhQgY+qB/ieoEWXcHgxqtEoAYGiul546XS+4tyXVVQstlEpiKKCX4FE+JrE94jjJPXQFyCl1ZRIhQhSMOD7GSh4uD3K4iYsHvFLQjkDAsqb/7u6b+v6SAogjdZZ/0HHaZ/U+agpaJSM8m3/kR46kYSPTNP6meNKs++SmcxQGgv5ONGARgiv1P/RaRU4aWt7II0tVSEsSB401iJtQcFkeBsNtQFjWqlAzicLTjg7frHGu4Vj/eu4avoPiamV7Pzbo6P5+tQfcdHQP7JM3c9dvTcAPlJYAAA61QZoIsoOhI4nRdqg4xmOb17Fl/f+YcYznXagqhVYpLr8wsot/P2Ta5lJJ1RFXjoXCv7m8bX86rqtLK31+O6eCQJPlQBBrE0pA2EYPotgwKn7D+f85wC99rWvZenSpaxYseKAx/7qr/4qGzZsOOxER0cEGAhjTZx2qLAABBJt0EnMz63YwlTk8fEn1qQh74NVPTOR4uOPr+GdGzbz6c3raOv6AECQoKSgKxXXz7yFFw7/LTd03k+PIPMcLobKOLTvBro24JtJXtz8BBvDM7lm7nex/L7fbhZKn2tnfpdLhj6GQPN4/GIc4geNFJIoNVFIYRhRl7Aj/BhNtZ4Rfw1AVplNkHszO61AVRuQpIBgLnmEveHNhHofUvhpZbeIIe9YlgQXE6ihDBAYk8+QZHo9Yew7qF+whvb3t9K6ZDlSBfYJPSARfZ7hfXbkqrAYoBUogQKjy4KjoiE4e43h6/cHjNcbLPMSO4vFOrtpwBXZEX4qfCG3t3t+6m9gBWzJxl7w1M+ErS60U6sUeKSgIQ6zbyAA2WwRKUV9/26U79OTNZLYQ2bFigrAQqnMTFBTCQEh4cgSOzMP6oPBStp20ucZ2M60OA1xaH8XKxBmmg6JqAGpQC69Gy+wQCCw7ZiMmzw81eCKE3Vq4pkHCKQmg9K3LH7bFBBkmgGhMVLaugMFoNDXh6Sy91ABWnq0v7+b+vkr0VJm49mNSTdjLwKBSLeZDK9nNn4IW25IoonwxSiLg+czpE5Ic3RYjYARthqqcmPN9I81d6/ZaBuTvZtZVXsnYQoCIq0z7WHRPLBK3cx6/ya+OfPfiIwq+UO5cOk2Ad+a+W1Orl/HZa0/56b2b9A2E4BGG4FvbCl3KfPIgSJPCuOQFzX+hptmf4F27NOLkwwI5MDALk0R8surN/EPG9ewP/Qw2vRNqgBiBJ98fBVXrJjkLas28oVtawkLBZBcVUQXTVDVHDyj9BMCBprNJpdffvlBH3/xxRcf9j2PCDDQiRJ8r6zOCmPNMr/NG1dv4Rs7l/Cj/cOY1D42iCRgtGGf9vjUxlW8bd1GPrFxA2Gch+vlOQcsINjaPYofycu5qPU/+V77d0nkkPXqLiT1d04+ThtwrP9dNvg3csPsW9kdre5zcHTkwngSKfjWzG9y+cjfkxCwJbmAKNEooYi0AVLNgBYoIVleeytbOp9kDW+m5a+0uc6zZ0zVhANso3FimI7vYXfvuzTUGpYEryCQediKMZo5fT9Ptj/JouA8FvsX4qXF4ZW0ee8SY5mjy4LnL2niHbWIzu17aZyz2L7jolagWG1wkDnACQwoe50XyWgQCmFS4aHjzLZcUOIilOay4xO+fv8wL1phGAvSWbxUSKUwUWQz21UG+7wgIFXDA3lyn4rPAGCTKLmZd6H0sZDOF8IK3FhM4M3sx9ddOkGNxK/bxD4FASClxPOgbroY5ROPLkMGtbLWwi/7CxQ1FwdspxP8rhqjttuM1gjPn//d+EGmHZgWLb6/c5RXHJ+kToXWT8AJaFLb/0BHwr5vm4Z0GplrCXQ8f/+BEtAwyqd7137UsiHEipFUK0AGegcBgT29W9kT3sh4cClr65eXQgBDvYd90Y3s7F7DktqLGfXOxEiyZENGmCwpUfZ6ybVuc/FONrb/hVX1XyfWMtUS5poBZ0KMEsMKdTtH+zdy7cy7UyAw2Bna8Yl72i9ma3Q8Lx76GE+G5/NIfBnaeCQ6GciTEm2QpstFjY9wf+ciNnWPTYFALvx7BROBR8yvrHqSz25Zxe6enwGBgfw0BR9f276UU0ZneedRj/HFbSvZEQ1l7S2GgEfRc0PA/pQWJmGK8TLPMZqenmZ0dJQr/u47+I1W1nF9Yi5fspOJWpfPblzBvp5n06k622KlA2dx5GmCDiEFRw91eM3KXfzD5qPxCqmOa2l1RJtGU9IMFOsaj/LCoX/lnt5r2JqcjaowtsQkrFJ3cErt6zwRnsmdcy8nTguBQD8QgP7kHL5MeMXIX3N/+Ap269OzjIeeEtSVyzkuqSuJUrPs6H2GJbUXszg4K2VQZacmoAAC7mV379s01QbGg5cgRXMgOElfHpPRNYR6J2sav4SvgiyboauF4Mk8u5knBdEd2zFhROOsRTZ3fjHdcPlDDBYSmYOZgFBjjEHUVLk4UTFlsRMalZLJIglpdxOueRAuWjHNuNfF9LppPv00ex3kWQqdmt2py4tgQBUEuYbp2KcXS4SApqcZ8iKrKi5UAcwqHhbuZ6IoK6Ns4gi6bdTsfkQcEwuVhe1Jo1HGOmImrVHEILOAX/AVcOtCO7WBmUjSSTyMEdSUYdgPbR6AQe3UiW1XcTZVfTfOWdHz2a8bXL99jJcemzDS8kAFFgg4lb0DAlUnwsL3NT1b0EgEcuHve4D+o6VH9+79GC2oP381kU6ji1Jn3sxc4Gz5OmJT5/N4jLA0eFXmRTkQpJsu+8LvMpc8xJLaxYx6Z1hNQWWcubGmgX29e9nV+wYr628j0SP0Yiv0u4lOf+fmgUXiAU6r/TvXTP8+3WQwEKhSHrevOb35bY6p3cq93VewTZ+LQVVyGRgm5F2cUf93bpl7I090TqQdWiDQCWM6YUIv1nTSbVGc8Gurn+Cbu8Z5YKaFjnUGAgbx1Co/HQkSfmntdqZin29MLqdn/FIumKgzx9d+51KmpqZKxX+eTnKyYs/3v8zIUOupX2d2jvELX/uMtvVA9L/+1//ine98J41G4ymd/8Mf/pDJyUle/vKXH9J5RwQYeMn//iatZpNVtTZnj+1nZb3LN3Yu4a69rT4QMAjJOrW+kKIECM4fn+aUkVn+bcfaUu2DZuBKJnsZQGj5PZ4//DVW+A8xmRzNdLIMKWIWq82MyO1sDk/hrvbltJNmaXDHAwa5GyTF+gpKCmoy5IrR/8ktnbcyy1G24EiWb9ym+7SFkSRKxuxLvkasJ1lau4yW2pBd1/ouTLM/up2p6E6a6jgWB5eAaab759GeiBygzMX3sSf6Fuuab6emWiVA4ElSAOOKswjiH+8i3jFD6wUTCM8MzlNfFPouHGx/SPjEDPGujj0kUCAFphvbd7SyZcskBzIXGlnp48GAoNNL+MaDcMaSDuua7bTITUXoZQ9dCQ/0A4yQ7O4FPLo/YLLr4UkYrRnqnnXMbEeCqa4VDmuHQo4d7dDwjL1HKmxNWijJxBFEYSm/Plpjwh6iZ2sDANbuXqsjPC9X/Ve1AcXtqbDuasUj0w02zVgz1kjN0PLtDLaXwP6eJE5gvK45erTLsnponTEdMHDvBfreTaaB8AO2dJvcvrvFZcdqhpr9QCDTBhQjRIRER4bwof1EW+fsNWupJqgXgwG1tEGwfhi1yLdCtgoMKv3HCIHRkvYPdiHHGgRnLSdOnW7jVBvg7PMOCMS6wxNz/8Ai/yKGvTOslkubecdBNhZEl33hdcwmDzDqn8Ei/1x8OZr5CxhjmEs2sav3TRTDjPs/S2L8EhCIHBhIgUCDbbyg/nGunnkfc3FupqyG4Dl+UUyuVuQXDdXh9Oa3WBfczYxext5kLbEJGJG7mPAeYWd8DLfOvpqZqEEv1QR0wpgw1hkwcMvPLt3E43MNvr9nLAMCxuQmgoPlqSePzvHKFZPs7NW4Y2qMLd0moZHo7izffO/Lnh0w8L1/P3wwcNHr/0vBQKvVYnh4mHe+8528+c1vZsOGDQc8J4oirrrqKv7xH/+Rb3zjG/zlX/4lv/d7v3dI9z0iwMAXvvhJgnqTLd06d+4b5onZGiBKnVbPY99y5OpvVwHBa1btpms8btw3kQIAVdIQOJDgHGJqnmHc28yYN4k2isloJdN6wjKeyqBeyETg1s404Qp9DKkpXjH611zX/n0SMVaqTOYqkTlA4CtBbCaZTr5HN9lSUHkaJC1GvDMY8k7HGC/zaAaqGWqB3NycFUeSgm6ykZ3hv3NU4x3UvKFylUTRDwjMthm6t22jdvIi/HWtzJxQ+RDodkLv0WniLbPIRXWCYxahlreolko1iSHeNEXvvknUkgaNM8ctntBxXvBoHkCQxAk3PGbw0Jw/MY2vc0GdP3RBvS4Vba14cH+TTTM+Ey3NseOaiabprwEAoBNiDU/uEzy416MmDWctbbPI65UF7SAtgZulu0qChQ/Q58Pg5+F8TjAjFfsjjx9NtmjHiuPHY9YvMviq/Fz5e0yYbAse3iPZOadYPRRy4liHlopLZoTquxFKEaP44eQI7cTjxRs0fj3ITQNFIFABAUZD9559xDvaBCcvwT9qtK/kstGGZOcc0WP7SfZ08Fa1CI4eQQ157oDy8QiiLW16d++hdvZyvHVjRJnAz4V/pMtA4PG5T7A0uIKGOroEAuYbD9WxYExMW/+YmfhHJMySepxgjKYmV7IoeBHSLE3NATpbd1MQECeGbpwgzAwvaf4F1868i33R4oHhfXBgTWJ1EjEsd7HE34YSEbN6CTvDtcRpVFScmlQdEKiCgbOHdjMRdPm3rcv7gECmHZiHr7rxWuWr61pdzlo0w5pGF18avrG5zsd+840/BQMHSVu2bOGP/uiP+Nd//VfAlkV+3vOex1lnncWyZctYtGgRnU6HvXv38sgjj3Dbbbdx4403sn//ftauXcuHPvQhfv7nf/6Q73tEgIEL/uwqvLr9wIM0Aa6zLvQoQoiBgEB5gt/esIlvTy5jazRcqozYzEon2wJJxWqJVZpvQB9I7ed+F8sorwg28rzW/+U77T/Ek14JCJTKlsq8QNKg1MmlLGYpw5svNbFTM0pZBQSb2BV+iaOa7yRQtT5AUCyKoqRAxprwnp3Em6dRS+qoJQ2Eb9XDyd4eyZ4uoukTHLsIb81IJmgHtco9kdEJ8RP76d2zm8b5y/CW1A4MCNLtT04m3LFVsn64x/Fj6Qy+IIB7iWDTbJ1HpwKEEJy4NGHdqEYqlbet8m6LdQycEN3XEdy2zUNhOH9iJhO0JtUKlLQFUZSDgeJ1s6yBMvdhKGoD/IC2Vty2c4hQS85ZGbGkJXJzgWvTPO01SYI2sHmf4f5JRaLh6JEe64a61IvvBehqxcNTDR6brnHG8oRjJlTmLHggIBDvj+ncvMOCgGMW2Rm/kPOWB7CRBIZ4yxTRw/vQcxFqcQ21uI6oS4g08Z4eye4O3qphaqcvQ/uqYAowxLpqFjBEOuKxuY8xEbySegEIHOp4cP/nG2PuekUg4DQDuZ9Awosbf8nt7Z9le3RsKaSv6NEPC/MMt67WVSlS8ZoucqDoJ+B+L1WzvGpiG3/96DqbGCnWAydXB8NX7bsq81ZHcXeOm/77K58dMHD9FxkZaj7168y2GX/xMwtcDpYeeeQRPvGJT/C5z32OycnJvnTYYL+NlJKLLrqI3/iN3+C1r30tvu8PuNqB6YgAA8/7k69lYKCoujIFYLBQSuBMpTUPIBiqGd5z9EY+sfloIrxMQ1CuwiVKVROrNNgBaH4v2mL1xGLVL/f71Ob3WOxt5+7wF0v+A1VAYG33Mn3O8j2qDC8HB4V2FB4lL7daBgTt+CH2Rt/lqOY78NKyqA4Q+LJfWyAAiUHv6ZBMtjGRRtQUanEdubiJkLnOoPjZ3M/i25Ui/687IZ3rNuGvbVE7bjQ3GRwAEBhteGxXwiN7JWFMVtPBGPAVrBlJOGaxplGzQjUTpkXfkAHhju5/UdjumtHcvNln7VCP08bbyCQqq+OL5opq8aR5fBiEH6CF4r6pIR6fDnjeypAVIzkIOOj2pr+FMZgkoRvD43tg49Tg93LMYs3R46CC3ASwIBCQHuHjM/QenaL54jXIVq0EAty3Lo7UQd/aGIPe0ybZ27V1MHyJXFxHLWmBFGn+gIWBQKwNT7Y/xaj/PFrqlD4gcKhjAvrHF5BdK088ljsMRommlzoQnuT/Oz3d5K7OZfMCgYPlG3ZdnkwUqexoPRgImCTmt9Y+yt8/uY79XRuKnSS6BASeCm9120QFDNzy/1zxrICBye/+38MGA0su+fnnBBhwZIzhnnvu4eabb2bLli3s2bOHRqPB0qVLOfXUU3nhC1/I2NjYYd/niIgmSGKNSMNTqmg1V2XNf76LVJY2Yi8L3iN1rp6LJF/evozXTGzh/+5YNzCRRrUIR18bKwN5PnRfbBWVbNDFc+7vvojLhv+ecXEve5JTKsfn4Ye2YqK9p0s6kt2hgPMcs6sObE0xVDJ9hgS0sAIBDU3veEKzmx29r7Cq8Zo0FLEcYYBMffu1ST2vBWK8ib+kPDC1sbcZBAaK5Jrk9ksBshHQfNl6ujdvpXPnHupnLrYCsdD6vigDIREi5pjlgmOXWSHoXksmQ1Ue0VBKfDTIA36hWHmlWDameHUz5L7dkq8+OcYLV7YZ97tW0Ltwviz96WD9dMmR0Q/YG/p8f8cwG8YSfvb4CKG8DARU8/PPG57p2ksaWy8EdQ9OXmk4aVlqKuh7L4WMkcXwwaKPQAEIdO/ZSzIb03r50fZc8m94MN/bZtMEEMglLeSSXN2rDVmODJcvwyXUKqXpTfft6F1DXa1nSJ1CPAAIVEFAcVwUx0RiDDpNOFYdX7ZdxcRjZSAQpQJ5TD7KuHqCq+fePdA0UEx6BgfiHXnsUDHaoEh5ArU8BLt6r9dMbOWqnUszIOAAwCAgsBBvTbRJu5hNeiSESLfl7yp5NkMLfwJJCMHpp5/O6aef/oze54gAA7b+e7lDFTvpQr4ClgRCksbjUgIEQgmMNjww0+K8RfvZ0JhhY2+klH8A+rNqQY7SD5Tju0r5ANbZNaC/INP1s7/CFaP/k2vn/h8SXTtgKtL5VJ6O0c1bvTDjL06Epn9Nvn/Mv5Bt3c8yFT3AqH+i5c6SHAgUAEEpPfKg27kZ4gJKqcTkXttSkOV4EFLRuGA13Tu207ljD81zlmCETT4E/UDA6DjLaOeEYJWlDwIAfUK2SikQEMVY+RQUyCDglOUJ68civrepyaLA5+ylcyipMFGYhSLay6SJgYq5AtIZvxaKO/cMs7Pjc8lRPUaaPkIFA0GLGaQVGNBeoFQu2BhtAYrLHFm4Rl4DQpaAQDEs1IGFzl17MImhcdEaG9JJPwg42O8N/WajYp9xACALITR5CKEGpsNH6SZbWVn71axeQBUIVEFAX1GfxGQaAQcOBhYW0qakGaimGzYm5rzGP/ON6ff0+RVVgcCBzARun+UfSbq225WUfXzIAYGiRiDRhtW1WWoy4e6pYcBkpteFgMDCPDYPaQYbdmgKqpYq735GyYWkHs75/39KRwQYqEYJDOqgC3nI2+P6AQEyzeWvQWjDlVuX8a4Nm/nopiESLdIc29IK6fR3kZKKzfdgBnM/9WsI3DVC2eLHncs5ufYV7gvfmKUrtrm+JT4QQZaKdFCp1FLFtAHvqFTiOH0nTk2qNTki0LC89kY2dz5KU61HqDrCgBB5quJiylZX1/VA+MNRdVYKlGslFAGBkNTPXkH3tm10f7yX+qmLrdB3Agr6EhPhUhoPGuxFAHAgEFA8x+gsrW4GDAqgY6ileNmxCQ/vFnztyTEuWNFmaV1CbHPtmyTh/8fef4dJchx3/vAns6rtuJ3ZWT/rd+G9IbwjQMIQ9KToJZISRUp0ko53Okp3J53l+96JohdJiRIoiSJBDzoAAghLOBKWWHisn93ZmZ0149tVZf7+qMqqrOrqnpldYIUVEc9TM93V1ZXRWZkR34yIjBAk/XsmmHF/Pcc9ezo5dqEfpFl2comVuuFhzjxbboOIZyxgkGFRsPNBRO2mrQRCUntmAl1XFM8faAICNgiwe94eF9Ez1zqaCVkVwY1lwAYCOjynw3Z8VWdP9YesKv8hEObyyAACaRDQqkKpiROwwYEh+7sGCNj5BHylOTZ3I8/WLmZadTcp/HZAYH4yJCmL7HvbuQSM2+Da5Xv46o6BKJeAvXMg+u0ZQKCljI0erA0KYpp9sfbCkc6IxZnv939T6egAAzrLVds8QLP2wpoJbQMCQ0rphHVgxnd5crKTEzvHeXqmN04MFN7XsSZqO1dB+rVNdlKO+LokIHCtdp+rnccbi/+LZ5jEV11hKtK4foFR4KATwivdN5AtYM0aLAIF1v2CmwQKXgqBFEX6C1czXPsJK0tvTboLwnsJHShuXwXfUc3d1JwT3jqRSOgSvowKyKQAQeHsZVTu3El9cJr8yo4ABCgihWUDAnvlnkktlGo6GA+sAEILCGCy6CV6ViFdh2MXw8qeBr/YWaYoC7xi8RQFRyNSUf8AdS15aG8nkw2HK9bW6Srnki4Be7XewkUwL54tYNDUH5AEAin3AELS2FOlMVKhfPmqlkDA3N1+7omxqeNtrT5JQBhdEl4eZ9Qk3CKYtAoMV2+mL/9KJOXIPdAOCGS50gwFObdaKzL7fhEPKq47IHWVVbkHuWH8vyWUfKsqfrasMe/TlOUWaHWfrOO4jkm2z5QYr7sYqwAkY7DSQGB+MhZI2d6OaFTav5MMhP8WNMvy56VBEYK1Drvmd1baTPtccjDTtI/WNpHdsb+P8xfsb5pE0BwkONs1rd5nnbcpuTVR8Hj1Ko7J3RqZHoFEytG4IhpRv9g+UXNE37P5sb4XvI/vZ5tXTVazTudEav4INf9gVNI1XfI1VgbBd+KVW7yysw8N0ZE4b643z8hWMoQug4tXUtt0ADXjJ8zX0WvHTSa/SSmzrHM6jHmwV8OJz6UTXZO+j5ZWYF24ehaOQ7ngcOX6Bmt7FTft7OFXezuY8AuYcr4TnstD+7q4cecCVvRort7oJYBAkr9m3iOe5sBzXEjIbd0nKTdAIn10WFtCVRXVR/dRvmRlUKyI9kCg1TNPP/dWY8YGAlFFTuJ02w1/iml/K13O6Qn3ANHrbCDQan4kMhpmjNs0ELDdAwDrcrfzVPVyfG0D/2yrwGwyo53caXWky7MDXNC7j1tHFwbPxMi/FnIoS6am39syNi2P7eNleunTUWEZSFMrpJpFWsXBLPbr6F4qucqfajj4WlCSHnWVS63gk2R/bzZEH1kXMi0DYFsH7Gt8pdlRP5NTS/+LJ+pvjIsZReb9cBWvjF+zuQ+yooHtc/H3YsuCUhqkiAL5fIP+gf78qxit386A8+bIOhDGDiLQSERsYKB5ddXuidmfme9JRFQroclC4LqULlrBzH176Lh8eRgTECtNAXFxoyzsm15N26ajrPDxiLmQ32BfXNO9zZMB0JJguevBqgU+A11Vdk06PDJaYjKsoNmR02zobXDWiirS7CowQCDK6Gcp6pDXJr7b8WwiZgmsFkDMt20hsPtEBGAlaZUIzlceGKZ4wQpEPhAjWUAg8kAZRdGCM/u8IHvM2EDAAM/o/sDe2p0szF+OECJShPbOAUOzBRCm38fBhLS8JgbRRjnCqtyv+OnMfw4+D69tZRUw17STI7YMMe9b7STIup/UPjmhGPdymPotdhxH2ioQ/I72gMH+TEjRZJ2073FESB1mzMBLpITxvwUdFWBAaY1jvTZkD9BWKYjte2TtEzbfNa4CIQWbpztYXZzm+eoCYG5ugXbn0p+3m8zmvGsBAk9LpvyFlMV+GvRHsQNpsW8Kltjvm+5t9Z9jKX5pmfwSn9kKWWscBCW5kb31nwTCQ4godsAJ0wwpnQQEWT0y22LBfM8ohlaAwBHg9JWRCwp4QxVyy4toVBA/IMKSuCbqP60AyQABtjJt54N3LOWpskGBDQgAcF2EdpDSZ9UCn5Xd9cQtA7fBHIBAGgTMlWdIbkjBAgVaZwMjmWExEBJvpIooubj9paif2wGBCPLO8bmnKf09+71RYlP+M/Tnr46+b491exVvn4NmpW7Inh9A5twy1gCbfKXJM0Vdd6DINQX2ZVkFWin+LMpeTCQpK5vhqtIMW6Y7Eq4B87+dFWA+chbay9oXm7TvJ4p/Hcr3f1PpqHATHAodjmlquJanP19v+fl8gns8le0jnO0e6SyGo/46+pztCcGTJcSMmTMNBEyUc/pc8n1rfqKcBSrYOliUq5jxdyeuyVoAZP3MpCBvPuxrYiWim1wG0edCUjh9CdUnDiT95wmTd4YboBUQsMzx7Y7EvaWlpFuZ9MPPhZVPwD5MWeG0ayATCGT8rtl4TvSLnEOf2IWlwnPm8+qmAxTOWBIBgVbDuRUQyHrm5ppW97KtAhC7CADqah8FuRgj0hJur9TAbLWbYLb50Wpu2bwb6pHb2eetje81D5mRvjZLhsw/wFDTn68xWs/P+TtN1pmMNl92Afz7oaMCDNgo84VAnCZuoBU1tMAVrc1FWav5LGpnErTJXim0ohnVS0mMt+bpEPvFBhGG4lgBnQAI5loNlJzVVPzB6LO5WALTgr7Vd1oBgqbrrGtkMYcsufiT9abVcaTMUso+YXKXzQo181rrOwlQYN2jJSBIkwEA5jU0xwgYSgMBm+c0Ly2Opt81W5/YZJ1TFQWuRJZzcfs0WwWygEBa+UfPqM3Kf7ZppICKP0jJWQPEinI2i++sW25n+awdleQYFd3TfL9ZVvxpaiVD5iqD7OtdoWlk5Eo4HMqyDPybkqnKecjHS89NMDU1xc6dO/E8L3H+29/+Nu9617v4wAc+wGOPPXbY7RwVboI0SRGYrIUUCX/VXFFqsOhpPYgXuD5Tftw1WRMvy1eXJleKWQFBK1dBmiQ+Col9adZvmM1NMBv5OpmBDUI3TQpsuKKHmto+7/vPlbQO3OxKx6bjtLvAhJ1rAnO8u6oLb6iCc0xXcBOR8oO32klgmdkz8wuklaO9FS+MyI96RxK4DbBcBmlfPEGCosgkmS5BbLXbGkg0r9rb8mvOG36tHQWZlOV6CP97e2ZwB7qi97MqawsItCPrkc6bGnqcnOhrzYPSmVaC+VLkTsv40SZxUkAusmkD7aGT20ZGpGOXst77SjPluXQ5jSBG6BBkw1xlbHrBdkRdBv8OdxP86Z/+Kf/4j//IyMgIrhvopS9/+ct85CMfiWI+rr/+eh566CGOPfbYQ27nqLAMCJM+2EpzaQaYjUyzrptvOwArSxWGauXM+gGt0hG3Sg3qSjHnidzu8y65l2m1CCDc5kf42s6jnpqEc+yDQ1v9GBUcUKv5ngAvbdhJ74KAZgtB83eS752+Ev54rQ3PbShLmbZbJacUpM66Luves9CcrAKtgMCh8tsqz26L3+KP1XB6C828t7AKQNoVoDOft01Z40aIYOyL1HUB960HV9r91c4dliZ7btnzybx3wrlornPCFN7TahGdcm98n0NcQWfJj3Qa86zPst7vqZdZXa4kfoP9P01ZSjwqX5ySsVly+XBk8csU0y9+8QuuuOIKOjrijJyf+tSnWLFiBXfffTff+c538H2f//f//t9htXNUWAZsy2h4Bq10poWgFbVDpyI1yVeXK/xsf4mcmw0E2k3suQT3pCmd0RCSKwFHCJbkNvN85TU4jkgIHpvv9Ire18F5pYKV/WxFWeZKAvD0OK5ImkGFCD6TIqz9LuLrTcsm8K8d2QFIs60W7VuJnISG7YdIJdYxCi61Up+Vsq5LJ+qxLQS2dcCsis1qfLamtGZeltwsQJDFq/ksi4fZ+iVtCfF00NdzoObAv9YP3zxne3qZsZMeN1KA1gI/HAE52UNdjc2Jp7lSGmS3ml+BASAIwlUh0jioVnGa+82ovkd6N9Eh85RadMwFZBiZtb+RZ2mhFuRPSMlMIZNZA21Ky9fZQEDw3/r+EcQCWqlop8Shfv+lRrt37+aKK66I3m/atIldu3bxf//v/+XCCy8E4Hvf+x533XXXYbVz1FgGpHUEC52w6FAKiaa/lzVw0/cFouIa68oV9tRKSCkTyj/ryLutr4G5uReyzjdVJ6OKIzyUKEdWASmD/zlHhpUDjcUgPhwRCLBYmGVnKTwUqvo76HAHkJjVmUit4AJBblqzX9vXzYeMq6BlrEHNRxRamMiz3ke7AWZJRjSX87MAi5ZAwDJrRm6DdqDBtgrMBQi0ON/ET7pfDHjSKnkOEHmJriXNqYeq35pNyiF/NI8dKWLrAITgU4AQgrKzkoq/EyEyVsepcZZ+n0WtgIA9v0z5bmMhMFYCKQSIHL52KYip+J6zKPDZ5EZaLqRlUVxQLX6dXMRItlU6OKZjOug/KRIpoOPS7tmyMv0+2xoQu2FjeX0E0cBhxQscpovhRaJKpUI+Hwd+3nPPPQghePWrXx2dW7duHbt37876+pzpqLAMSEciw1roWoXphKXx24koHaaxEjR93x7w4UBNTwIDDF61aB+37F+WmGQFa5KZSWXIkbQM/GsXDzAfgXBM8T62Nc4L2g4nbC4SQCQqq2WTjqSssRLMh0z/GRMoQEXtpuQsD/rOCOWQbwMEbKGd3m9uVnrmM2PlmS/Zv8Q/UEF252PFZacgVuZ9KkKajFS8bRvMiENo53tPU8iDKX0ckfLjYMLwujkBjlZAYC48pRR+Zt8oECLOVCi0xOnJoQ5WYXkcNyBFa/N7q8eamJcpS5I9dux7CDQ+4IQ2A60FWmjyciF1tTf0oRpFTlQYMl7BN1snWs0H29rWfo4F80vqwDrg6GDlvb1xEccW7+KxmWsii4C9ZRgkpsYAJP37s7kik6+z5VFcTyUGBPeOLeKNiwd5eiooyCalQIfblNMWCyED2Wr6Ky1b0yDA9JmwzgOR7H6ZDo0GBgZ4/PHHo/c/+9nP6O3t5eSTT47O7d+/n87OzsNq56gAA44rcdyguhZSRPtipQQ7CaxsI/syQYKMQYCQguXFGo6EA36JvCsSyDpA206Tsg4mrhNOpNYMpBOGmNc2ajef2XXKHQHHFO7mtpn/guvG/klHiKi0cUsXAcIKdNIJt0FWX0DrVZTtVq6pPRTkIoSQCauAsVo4xk1g3yiUxSbULnAFNAOCuVD6MvPWG5qmeEpvoNQsQIAKSx1nKEeBjJQe0nJpzKZ45xKYaMhaXdtAIJ0H3bQdVPxTSaARtTOLYE3HGsyBtwgEpK6N+iZVv8BdUqLy4D7yJy5qf29zHwsMZvqhM4BA+/ETAAKhLRAqBCVnJTW9g4JYEyXlctqAzLnMBRsIZ80zqYN7BHU0Qv9Q8AmD3rlcUfpLNomronluK3zIdhukz2W5BtIyIxk0aNKZNz/7Ga9IRbmsKVXZOl0IcqsIgSZcSCkiuWqGQ6t5absEDAjIKmOs3SMIBvRhru71S88ycPXVV/OlL32J//gf/yPFYpGbb76Z97znPYkF7TPPPMOqVasOq52jAww4EseRUSlRIeNym0JotNSRlQCSe1+TboLkoBXWaykFb1w6wo37lkeTrRCa2wwQMJYBiBV2MuVn9iTMQvpzsQw4UrA2/wjD3klIpxgCAElOJoFATsYCy5A0wVnWiijysM9itjOrIJm6rwneGmvcQ3/+wkjpCwNQZBIICCvQUWlwAB2muTFJjNKAoB3ZK8Y0aeWjJmo4XW4gDIxVwAYC6doEwoSeWYAgvYrJWqGb786iaCNQYu6jVRIImG1QANIJ/JXSB/LgutFvaBucaP2OWSnDWpIATuYa654CGWZvjEGSLDmoiof2fEROIoWMqw7O07rTDgi0Gj8GNulQiWkdfKe/cAEj1dtZXlyDIwVKCxR2ts6YHGH5/FOUtgYYEGADA0NS63B3i8DAFaUVSmhcJ8+gdzYbC/fzTPWCaE57ibiisM2EMk/KiywQkHyfDDKMKyImf5u5760HlvPGZTv47NY1aBlYBbKsA8EQaC1T09YAe2ElLPmhj6Bl4N9jzMAnP/lJfvKTn/DpT38agKVLl/Lf//t/jz7fuXMn9957Lx/72McOq52jAgxIVyJdiQgHpFY63GgX6jkLzQaUnAStBm10TgqO65xmync54JUo5W0QEAOBghUjYMguXuSpoH54coXQmtIIv8nHJ+CU0k+5u/KnSEfgOiZOIAACMSBICijfbMFTIhJW+FhBhCHP6Wh80axs0y4CTZ2q2kWH+9bIKuDYgEDEQjwQ7kSZAgPbSczTXABBO2OBNIpEK/yhSdwlpVDJeUnlH55L+8kTwYdIK4ug9dl8XAiJm8dtiUgJa0xVtYkZn1/tKTDtBfcvu5qzl1ZZUAoBgkcECOKVuRMAiFbCdT6gQKmmPkr0jwEhQiKki1YqcBeEroLc8jLerklya4PtfHOz6VisRgqX6PtOqJjs8WOuMa+1CAcLAicsna2ExpHQ4aygoQ6gqQCl4Luhq8CJBmNwn2C7bPYcCNpsBgLB+zQYIJpnZt4rKTCgYKt/FZcU/ifP185rUtyBcg6+MxcXQVpWpOVFdK1K1iYwbRXCFfpkvcBoo8RpPVM8cjCIUBcqwzqgtGWYapap7UBAIqbgSFoGbIB9qN9/idHSpUt58sknue222wC4+OKL6e7ujj6fnJzk05/+NFdeeeVhtXNUgIFL+sepuprnZ8pMeU6cRlNohNT4nooGMNigICbbl2UPXCGDFe3rlo7wj0ProtV/IQMI5DPAAFg5wD0FrmxrJbCplbXAtLEu/xDD3kko2UlBCssyIBOAwEQsG8qFPCmhCcsJknNCwZcShpl8pUyiUsagYNz7JX35cyILgCONoCQK3grMtuHNtMKxEtMIYoHeChDMhUTqwvpzYxRPXhCtdIVW4HuBVcAAAeWl7hEG48lwGmiRbR04VEopW+0HQGDnQc0jI2UuWjpBX5jpcqzmcNfgAk5eVGddbwPhgtBOqHxjJWwAy5wUfzr4z1b4OmkVEAZAZfUP4XOTMuhDIcmv66Ty0AFyaxYE14UkiYZc8L7Nc20HBBwLAKBVkI485CXeWhACAUHCOnCgfi99uSvaugpMjEqT2T/lFjCxOQYEpOeaDOeZjG4vo6RdriOo6RKD3is4pnAPT1cvzrQOGBDRKlV5/D+OXUrvbsqSScHCJH4PgdUg70p+fmAZ71++mScn1lGDROyAvcAKXqb6zlgGUkDAcWQEAsqu4tjOafryHs/s1/wi/fBfpnlRqVTi2muvzfzsxBNP5MQTTzzsNo4KMODhsrzc4NJFg0w0XH6wZyn7cRAqAAImnsCOJUhTOqjFRrDn947z9FQ3DZEnbwEBM/HK+QAQ5B2JIxSLc9soiXGmVR+j3iocIfFDaeCooIZ4TLGVINsP2NoqcHLpZ9xV+STSiQWT7SLIOQE4EMTmVtOEkAJPBSBAamj4EAUSWuzFAX3NJtCm91oz3niIDZ0fDYV3qPiliW8QsRA3itdSXEGMgQwsBbI1IEhTeqFkHq8ID+15qKkGTnfsIsD3AmWnvFjRpQIItVAgXYTygpLHOvaRB6Al3k6X8N3PRipuJ20VGJkU/Ho0z2sG9uFoHx08GHpch9es3M8tu/soOHVWLPCDJe08gz1nJds9EPbLbP0TgQnfQwiJ1gqn7KLrPrreQBSC56ohdBfEz7SV08AGAlK0AAJp146QCCEDcGmNHy1EUBtDQl/udJ6pfoa+3OVNrgJ7/JvCW63GfxoI5MJ5mp5r0gmUqGfFDCkp8R1QWuEIEVoH/gfP1i7KtA6A2VYcy4msAEF7h4C9MMlJQa8zSI+zj4ruZm9jLb5ILlx85UT39pWmLnM8OtHLxf0HuG20Dy0FIpiMCUCgdbLeCSRlqZQiCPCWAulKunM+b1k+wsJ8g2dnuhlr5HCcI7ja/neYdKgV3X///fz0pz+lXC7zvve9j+XLlx/W/Y4KMPB8vY8tkx3cM76E5fkpPrRmJz8aXswT4x04rgwsA6lBnEU2ijX/XQkX9+/ny4MbyeWSkyzvOrGFwBGcXPo5G/K/YJ9/LDO6jwG5ifPlFp6rX8LT1VdCGL1bcGUTIPCVyrAEyCZkb16vyj/OXu8EtOwgb4MAyzKQdyQ+U+yv30LV30ngVfUpOetYVLgCV5bRiMAx6TQDAiMQ05TlI3WkoKa2U5QrcEUusgrEICAEAuEKuPHcfhrbJsDXiLJL4fhenKWdCOlGgECIwLyatZK030PSn2yfB/AGJ8itKCetArZrQAdxA2ZlHtwgrAGgvITCE8jAb2gXIpqPqyBlajf/te/T8Hzu3VXgmoH9ONoHrxFfqxRS+ly+/CA/G1zItR0VCtIHUq4CHZigE7EE7UBK2l1hzqUsAk39E/YRrhXYGAIB893cyg4aO6fIb4wTEGXFDczlmTYBAeXh7Z2m/sQ+9IwHUpBb3UXuuD6Em4sAgSKMQ9Gh31u6dLobqajnKcljAqAhNen6M8ZlZo//dkDAlQJFlf31nzPtb0aEc60gl7O4cDWu7CJyE2iBrwVKCnxHUNNFdntnsr7wK56vntMidiBwGaTlRJZbIFqoOIJjCvdwYvHnHFRrmVRLWS6e4bzyP7Otfg6/rlxlWSrt2Kbg+OXEIv5g4Dnu2d9LJZSJSpm4DCKXQZrsIEEbCBzTOcNblw/zk30rGKx1RTw3mGq+yYtE/x4LFX3iE5/gi1/8IkNDQ/T1BW65733ve7z97W9HhZbnL3zhCzz88MOsWLHikNs5KsBAzpHk80HE/ojXxd/t3sB7lm1FAo+3AgTEQS/pCFcb2Z7bO85jE71o4SQmm3EPBEAAXtn1VabVUu6o/Q80TrCq8DVKeRyf+xGXd36e26c+EgGC5qyDzcLanvRJq4DgxOKt/LL6+5FVIDJRisB8l3Mkdb2Locr1LC+9ju7Sm4KoYK0Z855k+/TfsLz0dvJiIBJ4cTxR0kJgTKlZZFwEAhhvPMjC/LmB4A6tAlLEKyVHgK42mLl1B+6KEh0XL0bkJGrap/LYAeSOSQqvWIpwctFKUiHissfhSrKVhaCJt9Bk3hiconhcl3noSRO4ClwFulGPg/akDFcQDiKXT5jimYuCnQ8ZBax8Nu11ObFvhjweeI2QHwucADlqnNY3ya9HSpw94CO1DvhqR7Pxaa+uraDBJqDk1aNrkOG+D48AEBggoBRm205uoETlsTHyG3pn5SFaSWcAAUkcF2CAQPWhPaixGsXT+3C6XLSnqG+ZYvrGbZSvWIUsFxHIwKIQ3SuwLi0snMNw9VZKhWOAQMmnx76diCsreVcaCNTVMEPVb7Ck+GqWl66NvjPhbWZn5assLb6FglwTVBO14w1U8Hpz41WcX/ocz1fPCXiSzZkF4xiCmFrFBxQczWVdf8uM6uO2yl8gpFWAyFNsdH7GFV1f5LbJD+NbgMC+n5CSX44v5MKFByPrACqIG5CYmIHmhENRvJUNBLpmeP3Svfzd7g0omYt2YzlSvHBut99QuuOOO7jssssiIADwX//rf6Wnp4fPfe5zDA8P88lPfpJPf/rT/PVf//Uht/OiPaXt27fzu7/7u6xdu5ZSqcT69ev5i7/4C+r11tUAW1EhsVqXKOHy9d3ruHbJXvryXrzSTwUHJoJY0qau8Lrz+g7yq/GFTf43O27gzPJPGFerecZ/C0K4gclQBKZ618nxrP9mhvyzuLDjumgV3WT2bwIHAaWtAgA5UUHiU6c3TmYSAoKcDCwDmmmGKtezvvNDLMgfh+sEfSSlpDd3Eus7P8RQ5fogU6AME6Wkg59MuxnnsvZVV9Vuyu4qCwCEgIAQCCifmTt2Ujy1l+IJPUhXILTGKUs6LlgEjqDx5P7IDG/unjUIpWh2D7QiPV5D9lj5BaKcAklfPSqM5vcawetQCTYFG86mfA3NRQlDZHrfMe6yoXPG2k1gdhSoxA6D1aUZdk25QVGfcKUyl+yFh0Q63uGAUgFICftIew1QftNWTdOvsjOHmgncQfbzbEWtnmcUyxOCu/oz+6Hu03HJUpwuF6E10hEUj+midFY/ldsH0coPlHY4tg0gFQLKzlLqal9mAqI0ZQGBtEXMZ4qh6jdY2/EB+vKn4lqr9Z7cRjZ0fJjh6vdQjEdJwOJEYMHhyy48XaAsJ5rme8TLHN4bq8C55W8x6h/DE413IGQ+kgvB4bJFvY69/km8ovw98k4cDJ2WcY9N9XFmz1jwHGaRo+lzZnHVnfN567Jhvj60DiVzEZ8m1soELh4RiubTYRwvMdq5cycbN26M3j///PM8++yzfOxjH+Pd7343n/jEJ7jmmmu48cYbD6udF+0pPfPMMyil+OpXv8qTTz7JZz7zGb7yla/wZ3/2Z/O+lz2ozCBWwuH7Iyt407IRoDnaNZ1H3Fxjb3npcDyqSlLTTiYYcKSgLKdYkdvEs43XhBMtiOo3kf1mxb7DuwhX1FnsbmsJANoF/NjXLM89y7B/Yijo4lV3kNEruGa0fhPLSq+j4HRHQtCY7oUQ5GUXA6XfYrT+4/jekdBt3i+d4CHjM619BG4qWZNZkYWmzj2TyM4c7uJChgLRFE/tpb51Au3HEy5aKVorxnmTSAUUpto1iu5XQzl+tKWTH27uZKyiIyWc2ALYtp05TJcW11TrPkXHTypEA0hS2wyFgK6cx3SttXmkabthu+yDc3AhaOUzWRfcsKWTH23p5L49pQCMpABTuq8O6XllsRke2vepP3uQ4pkLI6uF/TxzfTmc/gLezokYbGUAR0eU8HV1zu3b8sJYBQzY3Vf7GctLbyDvLIh3OlgWsZzTwYrSW9lb+1mU8yDOAhr61YVg2DuZgfxTme03BwvG/+2FBcBCd4guZx9bGq8KYwaCfB9pubTNfxX97jY65Jh1j2RmQk9Lxr08C/ONTL7ayVHz+g3LRvjx3uV4uAnAYidrO2L07zAD4dTUVCKhkMlAePXVV0fnTjjhBHbt2nVY7bxoT+mqq67iuuuu49WvfjXr1q3jda97HZ/4xCf4wQ9+cEj3y1LUe+od9OYb5JwwCMhCteZ9qyIcQgpWlSrsmCm39OUDrCs8yNbGpZH5LpF6VFpJgKTg6frrOL54e8QvJBMIzZV65B7G/Gbfj1HSAqj6g3TnggpVJmDLJPSRoXLsyK2mrvYDc6uM2I58KjiinPmZDE28ja3jFDZ2Nyf9wfCtcZeV8fdOBytLW3+bvDfhe6Xjw5xvlTxGz0ElHaxKJuoOr183zisHJvnlcGnW78SMxwpVCxEdic+ylK71vuoLSsYpN4ftTyU3+I6hlrkGZuMtg5dW9OCePBctm+L168ape5rR6Vm/EqGBeMNqNtnPsh2pA1WcRaVA4djJkKxxlN/Qjbdt3G6+6bUrOvH1XH7A7FRVQ3S6G2N3hjXfDCDoctdQV3uxeyFtWRtXK+iWexKZPLOKmLWbq44UHF+4k6fq14YLhTg9eVouSSHY3LicjcX7msCFfb/tM2VWl4ICRq2Ss2XJUSEDF9+yQo2tlWT2O9sqOteCaS9TNi1btoxnn302en/zzTfT2dnJmWeeGZ2bmJigUGguHjYfOqIxA+Pj4wm/R5pqtRq1Wlx1bmJiAmg28ds0UiuwKF9ndyPf8ppW1OH4TPutu8CRgj5nkK3eq6IJ1o7G1Eq65EjgiyTeygMkAnjMvVuRFB5Kt+ZLax/J3H6vI8ooagiKifOtUseqyLEbAiwDMMijdHZFQJPvSVU8RDmHFjoq0JMm4YogyVcYRJilINLnbF+zDraWB9nnIAgk00HUc9SjGYqvoaDoBgol6noZK9FEdsEWCj6tZHUYdCGsUsVaSIQM/OsivFYLQTkvmfFE3K4McgYImSpbHNK0Jynnw1LHLzBvERBJ9ZMiSO4FPqUcNHSQ5ifIiGi1Y7erSb3XiaqFrZ5l+rFH9/cUItd+osmOHKriNZ237+nrGpK5C0el4qh5k6cj+D0KQW5O93BEJ4oKUmQDTUUOKXx8rRNb/SC502i2suYLnN08Vl87J1f8AX8dJ+QebnvNlO9Sdg5tRdyba7CvHsuiLLDR/KRePIosbYfx/ZcaXXLJJXzrW9/iS1/6EsVikRtuuIHXve51OFbJ882bNzMwMHBY7Rwx+82WLVv4whe+wIc+9KGW13zqU5+ip6cnOlauXAmQmTLUUF5qGkpG12mto4AXFW43tL9v6j9rpZn0XbpcrykdqMkN4CuNrx3QjbDcavh5uI84uj6c3FJP09DF6H3zfXXma/ucrzSTfh+dcjTIFWApTKPANRJlTTGtQaET+4GNUPb1NEIXwt+SrOmurHPp32RIqUCwC5FHUQ0FvdWu6U9AdhdQpoRwSmkZJeLtreIsLEXfMWVvbeWhMw6lk9YBbW1bc3oL+AcbcXsy1a50WNQBVd/hpp3d3DLYzdlL64Eilk4zn9IqBJTiP+to/1nwP59zaChJQ+aCYEHpgJsLgYGMAYKUKCfPjOfQUUje+4XizZyLkgo5AT9nLatz+65Obt7ZzVjdZVm3Rkinqayy+Z4/6SE78wlgFwXvkhwn6WeJeebampOAs7CMN1rN5p0AjPjjDWR3IbjGjFNr6CrA0xNIOprGva/nN+6D39aIfpsZn/Z8i+dnFXQ+GqPmvkoFbXfKUSb9eDGUJR/Si4asa6q6gzwTMa+WXEqTpIHCbSl7fKXpdj2mvWDxkVX9NUuOmmvrSpK38sBn7Vw4kmQyEB7O8VKjP//zP6dUKvGxj32MD3zgA+RyOf7iL/4i+nx0dJQ777yTCy644LDamTcY+Mu//MuwOE3r46GHHkp8Z2hoiKuuuoq3vvWt/N7v/V7Le3/yk59kfHw8OgYHB4Hkdhj7UEqxKF9ltOY2DeL0wDU5COzPtk8VWVOabmrDfr+nsZGl7hORUPF8nZgcKlSISsPa3L3sqJ/WcitP8F4lwYZKZgvzlWZX4ziWOZuC95FgMZMyXF1RoOqNBcrUErS+ChMOAZONzeTlEhBBpL4RcLZABMO/EZY6/IyEUPOVJi+WMO3tQlvCVYefKw35Y/qoPjmGFoEC0aGiNUK9MVxDlHLIjmJ4/0DAak0CCKTr3RulYQCB+X1KB/2SO3Yh9WfHk4pTOkEyIemC6yJzeV613uPyNXXedGyVhV0hEHDdWDFKt1lxSif4HdJc56AbOnBNOG5SwUr7XjL6/YaHk5coHtzbicjlwc0hpINw89aRQ+TyPLy/kxMWecF1Kd6i33Q4vDlugjctg10VvWXJG4+p8Mo1da5cV8NxnJgH06513/qzE+SP7Y1cBLZVwB6T7Z6lCsGgAb6ikMPpKdIYnA54s8dR+L/2xEHyx/ZFY8ZX8T19BVVvlJxYkBj39hyay7iPgILSFJ1VTHhPRsAlPd+01tT8YPucEC6+1jRUfF9DS51fs7t+/Lzkg/nvWddtr53O+vw9keyx5VLDVwm5tMh5guHGxqZ7eFaba0tTbJ4pRfLRLKiyAICRowbATTYcut0gIDctz8zrhvfSU7BHE23YsIGnnnqKz33uc3z+85/niSee4KSTToo+37FjB3/4h3/I+973vsNqZ95ugo985CO8/e1vb3vNmjVrotdDQ0NcdtllnHfeefzt3/5t2+8VCoVMv4evgkQ+aTBwbs9+HhnrDgPIdWIQZyJcQvQjA1Q74wU51TtljYoqxgk5PEXeDV5vqZ7G6eX/zXP1K2hQBif4jtmWpEKBUWAf63K/4IbxP4/uk+Q5OcHjNVSMx8xnk14vrqgg9ThKL6DhB/71nBQ0lEIqWJi/ml3Vb7Gu/EGklImt3QqoeAcYqv6QgdKHaPjKWgXFAtEAgyTp+CZSgFLkCOpCLMhdymjtFjpz7wutDsEuM5PWNddXxlnUQeXBfZTO6kdIESmJxo5pas+M0XHV2iblYcCE+f1ZawkVmm4NWwGACPLTO4s7qT00jD+lcDvcwLTrKNA6NteHGf2KMgzSc5xISRpFp6UTKkrrvZBoJahvnaC+NViNibyDrvugIbe6i8IxPQhHopWHCLMZakIfdgiYhFasX6wZnJBsGuvk5AVT4DjxbgEnACdPj5WY8nOcs0gHyt7JJ3izQQpCon2obx6jvmMqyRuQW9sdxHDIWXgzfZ4v4GhN0fej/omASMiD6Rt/RuEdrFO4oCd6drEijUFA1rP0deBG0iLI/ukrDVJEY7F43gDTN29B1TX5dR3hllmF1oLqI/sRXQWcxV144dgxgNTXgQwYqd1Cb+7ShFWgoXRi3Ad8JMe90jqoMeDI4H2Y6rg/fw2DlS9RkIspOYsQJMtoe0oxWLme/vxVNHxFw4+BRUMFbeNPUy7s46C/NFT4SYU5F/lQC3OYPFc9mzeX/g/bGudS85eSc0y/JuWS8musL9zFDdN/Zsk2PyFDi6JBTijG60FtDCM7DQhoJ0eV0Ejg/gMLuLhvlLvHljSBm+RvevFJK50IUD6U778UadmyZXzkIx/J/Oyss87irLPOOuw25g0G+vv76e/vn9O1u3fv5rLLLuPMM8/kuuuuQ2alBpwD1TyFYynWuqdYmpvi1O4x/vq5VfieClarnkqg2yZSzQP5xuFFXNk/zPdHV0cKPCj96Yf+L4cHpn+Li0uf467KH1PTRaQAE3urNBTZw8XlL3Lb5Aepeg51TzVN9NYmswiiRJPdV5pHZq7l1OJ3ebT+eygZtNNQGsfXSKEpuivpck5ny/SXWVH6LUpOUEHOVz4HGw+xv343y4u/jVblQBj6sUBsKBUJwiYXjAyFidDkkCDD0qwacnJZYHGob6cnvyYIntKBP14IQAkKZy6j8dx+pm7ehezMBXu6J+q4yzvpeM2GIDubCoW4NlaHZjeBTcYdromVSJD/VURO6OIFK5m5awedr1qGlAEgiBLmCBnvkw999DpSqq2BgBZOAGKePEBuYy8dV65D5Cz/uK9obDnI1M07yW/sIb+xG0Qcu6ABZJjNMAyAu2R9g1/uyHHTrj5OWVhhSSlwq4xUcjxxoEx3QfPK9RqRz8dK2Mll8lbfMkn9mTHyx/XRcdU6hBW1rT1F/fkDTN24k8JxveTWdTbz5gJ+bE0Ryov6SEOyf0IekC5KSGbuH6F0/goUgRI3rh4DBAzAg/bPExUmkgrMXcEzdSTlqzdQf3QPUzftCstSa9Rkg/yxfbjH9QdAwKw8fR1axGDK20VDTVF01lD1/EAxa90EgJtWvJjYpHB1HTAFSHIUWF58Hztnvk5f/jz6cufghMCq6h9gqPodOpwTyYv11DwVAgBlrdI1JxZ+wOMzVydWzvVIpqlM94AjBabEcd6NMwjWPMEt4x/kqp7Pc0/lD5j0BqJiZdGeAN3ggtLneHjmjcx4OWqeb7UXH1f27eGW0f54EaWTi6l2ctT0z10jPfzRMYNsmykzWO+KLnOkoA5BDpgjRNpXhwcGDuO7R4I8z+O5555jfHyc7u5ujj32WFz3hQn9e9ECCIeGhrj00ktZtWoVf/VXf8Xo6Gj02dKlS+d1r2rDR4Yrurqn2Fie4Mr+Yb6weSUNTyeAgBnMWWQyftoDefNUiSsW72dZboq9XpA1K64BHvzfPH0cEo9Xlf8nz9SvYrBxOr4o0Sn2sCF3F4vczdw89occ9BZR91RkEbBROGQHCQX/dTTZPaVxlGZn7QROLt5Kt9jCtNqA9K0thkqApyi7Z1PID7Cn8mN8JoEg6VCneyIrCh8D7YYgIFD+DV+1cBOE/SPA98MkLKFVQIYZ7wj7bEn+zeyqfpWy+zGEKIZJXzSeuUwJnI0LKW/sgxkv0AQdOYQQkWsgiqlIKQ6tifywRgaJcNkqQ6UTKJJAidiAwO0ukD+un5lf7ad8zsKgEhskFZ6JSrcC8tIgwChbNe0z88AQzsISHdduQOTc5oh5V5I/dhG5DX3UH9/L1C27KV+wFKfDiZWuCygvBiXAOWs9JqY9nhkt8viBEhpYVNact1rT2+EkLQI2EHDyEW/T9w3hLuug43UbEG684o8oJymcsJj8MX3Ufj1K7dYhyucvSfJGCizZqYdTrhIcF+3k0U6O6sMHcdf2Ihd20FDJ5+mrJKhr9zxVyIXQweDTSqMFBItzQe7M5eTP1DDdCL5YdtHh9xqRUg1WxMHqv85g5XqWF343VMQBQGn4zdYBQ+mxr8JthXGRBYWvBTlnAQOFjzHh38PW6S8Z0woOnfTlr8ZlIAQCKrIOGKtAWe+kRwzyi/rbEvIhvVDIig8wwXjB4iQYt44U7KOfG8c/xhXdX+Ogv4rNjUuZ0CtwqbHcfYwT8jfyaOVanp05hbqnwsOP2q97in5nmr5cnScnOgJ/+WHI0a9sWcFHN+7ijn0+z1QWRLw7UtBoHLmgvH/rqoWf+tSn+LM/+zM+/vGP89nPfvaw7mXTwYMH+dM//VO++c1vUqlUovOlUol3vvOdfOpTn2LhwoWH1YbQmdDv8OnrX/96Sx/GXJucmJigp6eHKz9zK7lSB71OlSsXjaC15hs7lzFTB2XQt29MXGEb1kBuVXfbcSVCCHqKio9vGOTLO9fj5PJRPYJS3qGUd6P3HbkaJ5buZiD/FC41JlQ/W2vnsKVyIr7CAgEqmuSmWEgrU5m9VTLvOtG+3IIr6clN8trez3Dr9J/juh0UnOB80Q2SixRcGSY3EXGWQcvPb1ZFNiCIV0jZAUdxLgLCwkjBvU3p5KIrqelnmfDuY035d6PzrgwFuBRRBUNzn0Ax6Cg+wLYG+JbSMH7fLLK3dBmsYpdNdkSwnanxyDC6Xqd0ei9SK/Drce5934prtgINEytuBPXnJqlvn6J04QBOXzlWbhl8CeLdCWq8QuWuQXLruils7EJoP9gnb3iwCyfZlRUTPKUsAG4+AVLqW6eoPTdB6eIBnN6YN2jmL9o0IUCN16jcvZPcQAeF43sQ+BEvmLTEKoMfxw3jDAIgUt00jvIFxXMHMoHAC/E8Bc2FiyAeR741hhpmle0rdsz8Mx3OKRTFydGYP9Sxn3NklIDIjPF0waKAJ52wvDX8QNlWw/+eV+Hy8v/i5omPcLDem1DGvlLRah3mLyOCbKmCVYWnOab4S3qcvfjk2V0/jicrlzDZKEVtVeoelbpPzVNU6j6NRoPfX7GZr2wb4EDVwfcDEGCsrPORpY4bFCgquvDONSMUHc1NI0vY5xUDMFCZ5l//+FXRavbFIKMrdn7hE3SXDn2L3USlxqqP/tUh8frggw/yW7/1W3R3d3PZZZe9YGDg4MGDnHfeeTz33HMsXLiQs846i6VLlzIyMsJDDz3Evn372LhxI/fff3/b3Xqz0YsGBl4IMg/4O9/9Kp3lIgcbLreOLGTbVLHl4NUq9gnaZCZvkEmLqMKW4wbbqU7qneHi/oN8c3gteTcAAqZAkQEEJpEGEK3qIRnTkPbJpQMEbcqqPJYGBOs7nuG00i38ovofKLguuZCHnCMphulAjYkwLlHcekVkBGFU+dFiywjdOP1xa0Aw6d+FzwFWlt8SZka0FLM0SjLeYmS7Aczq0VdJpWEAQxbZisEoEbu9BCB4bAR1cIbyeYsQQiWUXoKi3QeBovXHGsz8cpTcqm7ypyxBCZGIVs+aKrayEoDUmtrDe/APzFA+fwkyp5MAwACCMFVyEz9h0FzaGqA9wcz9o4iuPMVXrAjcLzodtZ/kz87sJwgsOI0nRmlsHaN0zmLcXpdEYp8sfkKeFJLKr/YhSgXyZy/D08FYC9xhMbAz7h+7v7KeqbE1CWucCWP5ajGGgueQBB7GHTc48xM0Lr3uldYKPW0Vaz32TT9BPP5zMq7eGZQKjzMUZs0102bVV3i+pup5nFf4HM9WL4xW6FlAwLYKpOWEnafETujjyDijYLqMsR2zZFsEZuo+lXrw+k3923l0vIuH9nW8oLJUCMHqjhpXLjvAwnwDheDWXUU+98HfOiJgYMdn/+SwwcDqP/rrefM6NTXFGWecwd/8zd/wv/7X/+K00057wcDAn/zJn/DZz36WT37yk/z5n/855XKc76VSqfB//s//4X//7//NH/3RHx1WOuKjAgxc8L9/ilvsbAoStK0BZuDaKFYrjZ1EQ8gwdWkLQHDtiv04QnDX+DJKIRCIKha6MpqA0AwGWgEBO2o3TXbiEXuy24CgnHc4vfM2FuWGeLj2uwEQkLFijkoYp4Sm8Y8aQGALwvTKKKgYGAMKIJHIxAhFu92iKxnzbkQIn+XF1wcrKUsp20WFIBlQlgYBhpdWK8lI2YokKLAViLFKmNd6+xi1X48ESq8vR1P2PGuXg6ooKr8+gK76lM5fiejKRy4NG6BkzRTzG5N8gT88TfX+XRTP7Ce3pBADElM8yW8BTmTzjgFvtE7lwX0Uz1mOs6I7AQLa8ZfFmwDETIPKfbsQDpTO6EeWRGb/AAFIOlhn5pej5E/ox9mwMFbC4eo8svQQ/LetQDD3Z+rI2FJgpwWOYgxSY8gA3aHKTTTUNAvdN1JPWQTs8d8I/cHzGf+xRSAJBGwyfDT8IF4gAAI+J+f+hWm/k4emr4lW5UY52/FPwLzkRDKtcOuy6qYd2yJQ9xSv6Byhw6nz/V2L8T2F8pUVd6UTICCKHQj/x5YB008C6YomK0Gc6VXjVWe4989fc0TAwPZP/9Fhg4E1/+GzDA4OJnhtFdxu6Hd+53fo6+vjM5/5DJdeeukLCgbWrVvH2rVrue2221pec8UVV7B161a2bt16yO0cFYWKvIYCx09EuAZoNgkC0lsHgzfJEpxKEtZZEfgoHGQU4PLT3X18YN0eTiof4ImZ5H7gwAem8JUBA5KsLYJZW2vMNTbF8QLJSWyEQ951ImHx6NTlXND9A07KX88T9bejwlSEflgdzRHNWb7SlgDP14mVTJN/0uyZDgGTrwlSrYT+wRwmOCnwETq+ZoF7DePev7Kz8k1Wld6O1g5aBi767JTGMQjwleU2UIpJ/xkmG49TVcOYdWy454CiXEZP7kw6nPU4UsTR3NKYwkWkcZQIOMytWUBpSQe1B3ZTbfgUjunBXVJEuEECGe0pvJEq9c0T6JqicMZSnGWdoTk5qdDsXAppMsmVtIj5UkLgLOmg/JoNVO8ZpLF9Mthd4QiEdLErJZqaA1FiIXvboJJUH96PP+NTfs0GdN5NxF3EyjabP5s3tI7cN7Kco3jFWvTeaWbuHwZXUNjQnewfX+HtrVJ7dh9ISfnytaiOfAgCaAICcdxHvHKvqB0cbDxI1d/d9EwLcgnd7sl0ucfjSCfou7BisxQhz+imCs52jImnfAZnvgfk2wIBYxmLALFunpP2+IdQ6YeuBVNwyADQhDxRSbBhQMGxuRtAN1oCAWMVmE1OQGwVsOOMYkBglztOyiTThg0ENhYPsq48xZe3rGgLBGaTp2ahpSTggZYgZLBYS9c28I5gzMALRSbHjaG/+Iu/4C//8i8zr73++ut55JFHePDBB18UXoaGhnjHO97R9ppzzjmHe+6557DaOUrAgA9hhqwsS0BiK0zG8s33gwEaDWQpEFoEQCAEBFppfOC6Hcv52IZBpnyH7bWehHI3kf4AjkwCAfM6uYugNdpPBhAKfBkXRzKAwKZ7J97Ixd3f4ZT8N3m8HgyMnJYJYZW4v24WgIYXw5K9OjKrHRXuVnCkoKEIBGIQ4YU0GtjUXdeCHvdKZtRDbJ7+EqtKv03RXRDEXol49WfIXslqDVX/IPvrdzLtbaHsHEuPeyGL5XLSJoWq2sV441cMV39Ef+EyetzTAwGowuea2llgfqBTzFG4bA1M1Wk8f4Da08OBgNMgnEBhF85egewphNvAmkFA0gyf/D0JNq2dDgYUODmH0ivX4O0YZ+pfd1M4qZfcqmCrnFmFJ24ZWis0Am+oSvXX+8mfspjC+r4op4JRtva2vdn4i0rS6iA4LwIFizsoXrUeJms0Nh+k9swI2lOYWg/OkjLFcwegq4CngznXULGytwNADbhTSjPeeILR+q0U5Ap63HNYnHtTEKAYPVJNXe1h0vs1e2s3U3bX0J+/lKLTbwGq4NqsMeRrTd2fZOfMP9HpnkKXc0GTa8D48M08iPb9zzIHVLjNRgodAWMzB6QMqx/aICL8vmdcEkpznPt9CnqMOybf0+QaaAUE5iIrgEhWeEo3uQfSMinpKlAsz01yce8on3l+JZ6nZwUCrWRqK3kqlYhAgdQiSnR5JMGA9n3UC1DCOMsykEWDg4N8/OMf55ZbbqFYLGZec7jU09PDjh072l6zY8cOenp6DqudowIMKD8erEDLAdt2j2i48FIq9ldGloFQuTmupN7Q/M2WAT6+YSc/3SvZ3Yi3yphJmc4nbpv4Wk1u+3W7VKNme2EzIJDcPfE2zu36MWcXvsIvqx/Al0FhEKmaTZeQBAEJ4afr9Dk76XRGcahT1d0c8FdTw1hDgonuo8M914KGr8g5MjS1GkAgw10NZ1HIr2D7zN/Tmz+LhbkLg9Ve1qpOaab959hXvwutNX25S1hYen2w2yBUMGmtVnRWUnRWonSVA42fc6B+DyuKb6PkLkFYOwu0FlHugeB/qPw68rinLyWHFexnFChJEJCOhg+ujfmxOTMrb2NJESIJClBBdLqzqofy8i7qj+6h9vRuCscvILeyAxGUerT6R9DYPUPtqYM4/WU6XrMRlXMi5Zvmz/TpbPyZVMVJ/mITvdNVaNs/dts2EDBWAQNQKv4+hirXU5ArGCh+KErL69udGZIrltGbW8bC/FVU/M3srvwQ8FlYuJgu5zgcKREinQsAlFLsrz/A/vp9LCm8NRXF3wwEjEXMngdGgec5yGJnB0UxgcJlUi3ioL8KLQqRBcYGBSidcCPYc0ppjed7nFH4OlW/xB1T76Hu2blGYqVsgEA6eHAuVkQ7St8sIFrJI9sVsciZ4rWLhvjcllU0/CBvg3G72kBAeWpOMlUTWAZ8XyOUaAIFithFq9IP8UUkrQ9zN0E4H7u7u+fk0nj44YfZu3dvok6A7/vcfffdfPGLX6RWqyXSBh8KXXrppXz3u9/lve99L1dccUXT57fddhvf/e53ecMb3nBY7RwVMQOn/Mfv4RQ6Ev6r9IBNpBwOX9vxAlmVC01ZTseROG7s85KOpLOg+fiGndwwsoI9jc6Erw5ihZ6ewGkgMJsfMKsAk7EQmPbyrhMFFOZdyYkd93NC8S7uqXyYOgsD82WGzxDilZSjZ1ibv4/V7oMI4bPfW8O4vxifHGU5Sb+zlbIcY1vjPJ6rXwYiHwcRyrgyWs6J/6djF1yhmfDvZcJ7kE73WDrdY8nLPrT2qakRprxnqfg7KTnr6c1dTE72hQI67KuMoWhXWjT91VD72FP7Jj2501iYuxg32lGRDCi0fc+2bzoaJy2sAGnXQDuMGfAW/BdYbYlkVHzg3gBR96g/vQ9v50TgNugMzfJTDbSvcQe6yB+/CFFqdgnYuy+CZ9tsHZgvf3bfYPWPHfxnB3zaricbCOyrPcCBxv0sK7yDvFxijb+5P1vFOGONXzDjP0fJGaDDPZaiXIoQLg01xpT3DJPeM3S7p7Mgdwm+kk27BloBgYZv+GmwPncn63L3UtVdjHrrmVHdOHh0OXvpd7cDMNg4m6318/FEZ3KHTcY8UxpyjHFh6Utsrp3DpplLEhYBE8CXBQSyZEUrV4H53+q1zZMNBJbkZnjL0kG+sGUVEzWJH1oEop1YXhII2CnbD1Wu2tf5tWke/39vOSIxA1v//x+mq3joMQOT1Rrr/vRLc+Z1cnKyadX+vve9j+OOO44//dM/TWQKPFR66qmneMUrXkGlUuGaa67hkksuYcmSJYyMjHDnnXdy0003US6XeeCBBzjxxBMPuZ2jAgyc9MffxSmUm8xWrTJlpWKgwtfhhDYgwBq4cSChQDoyiortKmg+tmEnPx5Zzs5aZ1swYF7PZWLb328HBuKAwjio0ACCpYXdXNL5D2xtXMTmxivROAnrQCB8NQvlcxybv5UOeZDna+eztX4uVdVsznKEQNLguOIvOKZwJ49W38qwf2pLQJAVVGi2OQo0Nb2Viv88nh4HHPKyn7KzgYJcGSkuO11rOzBvclXZW7qk0Oxr/AxPHWSg9E5yTi5SuunAQlvxpSkLBKRX3gApg37Mm4laENlK1wYjpi+DzwFPoaaDSAzZkYMwODUdvJi2VrRK0JTFo+HP5jELFJDRP+l20oGCgQneY2fl20iKLM6/HoQTAby5PFsg2q5neJACamo3M/7zNNQ+FA1yYgElZx1l5xiUDjJxKsWsQMDeRbBYPskZxevZUr+Ap6uX4pPPBCkFUWNd4VdsLNxLVXXxbP0KRvzjkEJmBA/6rM/dxcbc7dw99TuMNNZkAgGjmLOAwKHKjPS59D18pVniTvGWZbv54tZVjFdjIGDirgwQsHcT2LECWXIVmmVrVnnjqPBTbYYnPvPWIwIGtvyfPzhsMLD+z758WLy+0AGEAPfddx/vfe972bx5M0CYlTN4NuvXr+frX//6YdcmOCrcBL5JLwakg1pia0F8vYkOTgZrxysdk5LYuAyU1EhlhFbsMphuSD6/ZTUfXreT2/cv5tmZnpZIPP2/w/E4tWuME7omKVqFPGZ8h4fHe3h8cgHtSu/a2QjtoEJPafAUw6zgBv+/cErpVq7q+Av2NE5g1N9IQ5cpyTEWOc/R72xjr7eORyuvZ7+33OKxWdj4aBzpsqlyGc9Xz+PCzq+z3H2SR2rvCDtLA4qcjF0FOQILfew6CC32EvJiPcXchqZ2TBQ6xErCDmy0ySgn3w/9uWikNKZawaL8a5n0HmP7zN+wqvwBCk45tO3GgYU6NO0GJmed8EGnTe1pBZtOmJNFvgly04GZ3yhYkz7ZJzbNI4N7CRFuWXQkorsQthXvpkhbLNLpfSNQMEf+gCYeE+4MYheCTTb4SCeICrYVVtk2/TUW5M6h2z0LT2mUUonnm47ab/V8zbjxdfC8HJbT4zaX8Q7Gj2rKoWGCBbOBgOLk/A9YIAe5afI/UdcdEVjOUrwz5Hm6ehFPVy+i1xnm+OLtnFm8nv3+akb9Y5lRveRElX53M8vdTWyrnc0N439OQ7kZSYWyg4qzwIBSipO7Jjiz5yAdVhXBmpI8M9XJoxMLmPIDS1JTzFHGomR9aYKrF43w+S2rmKzJuK6AigOwbZdrKyAwF9nqq8AtECT7il0IwfM9vEQ+86F/rxkIzz//fJ599lnuvfdeHn30USYmJuju7ub000/nggsuSFg8D5WOCsvAcR+5HqcQ7K1sBQJa1boHe18s4f9mq0D8mtBtELgLpBQUcvCBNbvYPN3J3Qf7cVqkVfaVZqA4wxX9eylKxS8P9vDEZFeiTHK32+CCvjFO6Z7gRyPL2TrT0dI6ECcWkU1bDgvW9iJXKpbnNrPI3UpOVKmoHvZ669nvr458rrOtOiC18hCCk4s3szi3lXsrf4AUrpWMRUSmeXt7o0nUkgv7J6ubWgGAVm5FsyvB3vplJ35xpKDib2Vv/QbWlD5Iwe2MzfIizkeQtfpNuwJsEBCb4oP/rXIMGIqsAiKZSMeswu1987OZ5bMUf6ssjfbjnAuP5q3NI2TnhUj3TRIIzLB1+qssyl9DyTkmYQ2wQcBcny+mn6JVZfb15t7pZFomkt8OFgwAguK84t8y7i/m0crrDnk+gGaRu4vF7mbKcoyGLrLPW8PuxjFonMRqP2vngA0QsiwDq0szvHHJEE9NdfKL/b2Me3HZ5LLjc2LXJOcsGMfTgltHFzFY60jwmKZzevZxctc4X9m2kqonkm4BX0VxAibHQFZtl7nIVvPcIClfg2cY/G9Upnnub95xRCwDm2IHIekAAKKXSURBVP/nBw/bMrDhv371ReX1xaAvfOEL3HHHHfzgBz845HscHZYBTyFy2Sar9H7YNAkpomukEgnzFoRbh8w9hQYEWhr3Q7DirfuSL29byeuWjfL+gR18d88KJn27xrlmQ3may/v3Mum53LBnCXvrBcvfFvM2Vne5ae8i7trfx3tX7mJxvosHxpprPdho34mEiB9tOTSWg4AkO2vHsLtxbLLfMgReOxNkYpUhYVP1Ko7nDs4tfo37q78PhFYBRwbbM2UYyO9DzgmBmhSgVBBU55PhumhWEO1KVBttFawYw3NRKmJAQclZx5L8W9le+Spry39I3ikldxqoWPGlzcJZICANAFquFXQ8dsJySHHdCx0XVVI65qFpRW6NDTtWoZ014LB4NI9I6ISlANpYBlI5IXxVY+v0V1lceB1FuS4TCMz1GSuwturpaOWZHjvBvZK1BUzhLWMBsKv1+eHnZxf/kf3eSjZVr4p2PcDcwECaRr2VjHrJLWcmONAGAulzsx1n9xzkzJ6D/M32VUyFCwe7v6aU5JcHenhwbAH9+TpXLRrl2vwIP9/Xz/MzXWBZGDscjzcv3c1YI8fnt6wKk0omaw5E/yMLzuxAYD7yNbIumKc6jz4+XAp4PwzLwBHk9YWkRx55hB/96EeHdY+jAgxAa0tA+uGlg1ya3wPoJneBEw5qB4FSGiECqRlNEgQ/2rOYdR0VfntgJ5Oey65qkR7XY3Wpwo5KiX8eXMGYlwsncjN/UXSt0szg8OXtq3jfyt14+iAPjfdG1yWAQPg6Fl4KXzXHK2TRfMBAJkl4unoZXeVRjsndwnONK5Ei6KdGmHtAhfZnqQMQYIobZbkiWimILL9t/CWbn/i+xrScc4Jris5KFudfz46Zv2dt+Q9wHQepNb4S6LBAj9axSRxaWwJmSzRkk2/uFypdo3DtNg0IcKyqi77WJr19ghKKvw0QSIOA9q6CbB5tUJCs/ZANkAJlr9g28w/0569qCwQO6RlboABik7R5HdwnBgLN+QOIFL7SsNa9C6XJBAKHMicMWE6fm80N4LVoF+DUrnFO6hrnC9tWo0PZYygtO5TS7K3m+MbuFXS5DV69aB/XLhlhx0yZMc9leaFGb67Bj4YXs3mmI9hRY1UiBEJ5Ft8/HZRtt5klY9M82fJVaR3UTYmvDtucU/e+IKT8wAJyON//TaWjAgxo3ey3gtaD1H5vR77awqWpDaWjwS1CEKDCyW+sB0IKtk6X+MzWtSzM1VlWrPOM5/KdoaWR/79d6c/ExFHBHt2vD67gj9dtZ2elzH4vCOxLAwE3tWo3n9upS9N+Q/s+6ddZKU/9VveS8KuZt3Bt96fY5Z1KTS8DpZGOsLZpicgqIAOt1STYbTNxWkHMZoaEMGYgbMPWoMZAEFgI1tOTO4s9tRsYKL05NCAEQM6s2C2WgpcpEBDeqslN0I6ilXdK4aatBNi5CCwTvSHTVhoI2Cl+g89nz/A3Hx5h9r4xPOyp3kincwIdznFBjEALIHAoz7gZFMQM2eDCtBNbB3TyvIY8+zm2cDs/Hv8vLYHAfOYEtJ5jNhAIzmVXIbSv95Wm26lx2cJRPr11TQIIzEV2jNddvr9nGQLNimKVBTmfR8d7GKnlo35KVx60A67TVoFkW80ydjaeoiREloxNJ9g8EvTvNWbgSNBRAQZsyhIq7Uw7aSUfo9fYOiAcy4rghMEx0vq+9bkBF/sbefY38jFfLYBJlmUg4iVUbv+0azlvX7Gbr+5cF11rCx5PpYOFFI505rSiaSfw0udtAZiITpaC+6bfy9nlb3JX5U+A0IoSKmjHCfK0S2KTYZZgt/toLj5lR2Q87xBoGJeBUiRcBj3uOeyuXsdkYytduXVNgCBNaQUbvI7BwbS/mbHGQ9TUCCIV8Fl0BujJnUWHszr4qeaeGSAk7TaIq/bFFCvfpEUgyxpgg4OKv4uxxoNU/EFsba7R5OUiFuTOpNM5NthBk8GjzXtW/5h2p71Bqmo3KwofiFqZDQjYz29ez5jAfZAGkU2Wh9R/M37PLH6T+6d/G40T9UkWEJjrnMgCAmlKBwTO5pJ449IhvrV7BX6YPAzmLjtMf0gp2FUtsaua7Kd0HpYs+TSbSXw+17UCBDBHIPgy/ZvTUQEGAvN9clBlDdS0X1JmTKAs0uHqtul8qAjTn5tJmHmvFpPZfp+YOEozWi8w5bksK1TY2wgCJdMmySwT5WzUCghkrXjMNVlWAoAD/go00Cn2UiHYRy5F6N8NJ3965R6t5m2e5gAC4mtDHowCDduKLQ9GEwSxATKM0l9aeAu7qtfR4X48EaAWsWe9h2wgUPWH2F39LkVnOb25iynIZakcBSpIt1u/j2F1A0sLr6XDXRek0tXZgMAUD9bEgMCmrKC99HZBGwjM+DsZrv6InOylxz2XRfnXIkSc4CTI9DfCwcYD7K3dxLLimyk7q5p4FELM2jdaw3D1xywrvgMhRGQVMM+0HRA4lGecNXaav5tUdLFV4CB5Mc1eb21kFWgHBLKUfNacyJp/aauAfT6rDcNHr1NFaxisxsFu85Ud5re3kkVpahUrno4VaKe87WfSrt12VtgXk162DBw6HRVgIN5bLg4LZbYDBZFLQMdC+3BoLoEoNj/3Hujj7AVj/Gw0rkhlr0hMljH73FzBQTsgYN/TXOumQAiA4wieq13K2tw9PNV4c/S50mHQnM6uR9COslwHaUquDrMBgWP5lR0EjugiL/up+LvoEANNSs8mW0AaJTvpPcPe2k2sKP4OOdkbfZYcepKSXEu5uBZPTTJc+zZT/nMsKVzVZP5P3J9Y6Wb5xNNAwLYK2EBgtHY7U/6zLC++m5xc0IJHQV4uZWnxDTTUOEPVf2Jh/jJ6cifHPDC3vqn4oziiTE72xqvw0CqQpvkEEEL8jLMAQfq+htJuCPuzNbn7ea52cWZbcwEC5vx8wXcrymrjrAVj3HcgyPiZ7psjEcQ21zbaLbba0b8FEIAApL8QGQh/E+moAAM2GUCQ8O+3GKTzQc3mOnsQR5m0UgN7rvdsRVmgZPN0idcsGZmzEDoUQdXOzJllibDb8bVmqHECJxb/lU11HT2HrDTILdto4T/Osh5ECj78LAYFzSsOP1zmOg4RcOpyT2HKe4YOd2BWvmz/e0NNMFL9KavLH0GKQlPwk3kbRURocEQXK4q/y2j9R+yt3criwqtCa0DKRSGS9xEZfZFFaSCwv343dTXKyuIHw+QjzfyleczJHlaWPsTOyhcpOSvIy74wI2PcRtZeZdPulPcMXbmTE66M6BrLKjAXIJCl6F8IMmN2ifMUz1Z/v+m8odmAwHwpK76gHX8Aa8vT3LK3eRfRfIFAK1kkYsQZnzPJJqCt3Hyh6d8KGBzNdM0118zr+k2bNh12m0cFGBAi3sOqVTMgMCSlmLMZq217GZkLTS4Cc8/0ljnT9lxAShapJo90TLaSToMAU6zE/iwrADHLN9rKFZG2Dhhq6DwOcc17e5Lbl7ea/HYN+CyyPzOvbVBgP09jHXBamCNyYgEz+rmWbWVRoGjvZHHxmgQQyOI4DQqCJEivZ7DyFWruKZTcJc33Z/5Wp/Rjq6sDjDceY1XpwwkgMBuPWoMUOZYWXs9o7TZWlN46p/YlwW6Ehhqn013W9Hmr5znbboI04JvLXLXHj5RBUhuTjMqmvJihpjuB7MDBTH7nYQmw51naSpeee+nXhlyhaeggRQ/MDQSkFxBZsij4IAWi/aB/XyjwY7dt82WXNQ7eh58fQSzw78VNcPPNN8/7O4ebeOjoAAOhIg6UbBIQmM+1NfjnfX+RHMzmXGQtsP47QrCiWOH0ngmKUrFlpsTj4z3UNYcNCKC14k++bq5hnvU6HfjUKhr6cMyhCRBgBfa1KqscfGfu7p70KjJtHfB1c1R+cH4GRwQuFzs4LmPBlKAZfweLC9e0SD7cbDGxFa4QgkWFaxmt38aA884ma4BN5nTaTTAb7a/fyeLCNUEVwAwgkObPfG7eFeRaauqnzfxErjhCfuKUp0KAI8r4emZOPBqabVthOwtBnHwo/jxtYXBS48iRQdXBdpk9o7bnOC8NKE7PN3Mufc+oiFB4/3RQrnl9OGrZXpTkBJzcPc6GjhnqSvLYRBeDlXIACMz1SkRZAaUOKgvih9ZJFf9v1VY72WoDgVbJh9rFa73Q9O8FDGzbtu2It3lUgAFpBn+08g8Hpwrqac+meNsNyvRndnZCk2c7qFsg6XZ93rliiLoWPDTeR0U5bChN8h82bOHmkcU8PtkdofL5AgJXZCPotJK3Dzf1PotsoZS2DswXBJjL0wLcsTPHha/jVUvIRwiWUPaqv31wWfQbDsGsPONvpsNdH/WpECJlvYgVntQ6MOlHnyYVacRHRuxFQulqKMoBampvJk/pgMGkZSW0dmHyEMR82n1U8QdZUnhDxNd8+JuNWvUPWtPpruFg49d0uic3uU6iNlO7B+bcrkz2gw0EEoafcPwEpKP4CynDMsNmcSAguHDuv72dom9VEKjVPQKwng3EzX+tBQ4ak3R4NnmRlk8AJ3VN8dolIzw+2cOjk70UpOKy/oOU5Sj/sns5Yw03SuqkdazwhQxkp49OWA7M9lep5gbWWwGBdAZCfQTBwL8XWr169RFv86gAA0Yxg0kUFIMCAwhsytqSY0gKEQ3YppW/+SxUZqaKoZCCVaUq7xrYzQ+HV7Cr3hndb0+9g3vHFvG6xbs5pWeC63cvp0azhcDwlbA+WK9XFKsM1+ICQrbQSSp9mQACieJJ0Wo52yVgByEeCnXKfczo3og/o/QjgSxii4Ap0BOTpd3mmOY0TXMxJ5vUsVP+0ywrXhlVKpQZYMsEPtpUlEupqt0UZHOmubmQECLaxGi3F6UBFsm0xEl+RFKhZTYpMle+c+XP03vJy4VRf8ylfyTQ4a5hd+UH6HwQAREFcmbQXCvW2gDPjJc0EGgaQ9b4kZIo/70Mr5VCM+EvZYEc4oC/Yk5bApv4CsdYFti251r696etCPaR3qEzWC2xujzD89Nl0pRO5mOfl1Ig0bxtxR4KUvPlwfV4lhjfXu1iRWGGP1yzg+t3L2frTCkoLWzKDIfbqoUMyg1rpcNaGdkAJAugNPEk4syu9mIq6/oXm5RSqMMIIDyc7x7t1Gp78UuKHEdGhwxrCcSrd9tHFf8XcxyQtosgbRUwr4/pqvDOgSGu272OPV6XVSsgUMTCcblhdBXPTHfzsbXb6M15iSpe7Xgw1525YIxfT3Q3CZ52h2k/qBEgQ2EYvA5K+TYLMzvGoKmfrWuaPhOCFe4TDHsnWYI3tgqYmgS2EHesw/DnRMBBJN6bNuZLUe2CcBwIYNp/lg5nPVK6CUUnEYlDiFA5CxEF0y3In8ZY46H4mc3SfraiSZ6TYdsiBQRk6hAi/g3mO5ARwHoYsnWs8TDd7mnBfSCzf4IKliIqBy2EwBGS7twJTPmPR/eyLULmffB/7vxkgbt2Y8iujmnAZ3rcjPgnszIfB1RlWc/mMgea5ltYl8OM5YAfGZyXcS0RG7SnLXiGNk0u4Oze8YQVLS0rsuKVul2fP16/nV3VDr49vAoPN2rbHMONDv5u13revHyYE7tmcNy41orjytTip9niMBeZGvFkLa7sdoQQCbl9pMi4CQ7n+E2lo8IyIF2BDPPwCxUm0xAaUAnTFtBkJUjcJ2UVSJu50lYB6UrWdtR487JhvrZrPUrmyDvJSW0HJj053ctovcCH1uzgG7tWMFgJVvrpHN1pUFCQmmM6prl53/KgCI8lPNJWAVOkKO8GQqggqpxU+ldW5J5AIxAo9ntr2FS9igm/vwnu2RYC8x6yzaRpIbqm8CD3Vz8c96eMrQJSxCWN7WJCUTtmY3v4vMwKT1kBYa22LmX5j+33aWWwv34Lq8vvR0IEWIzytUloUxkgjPjXmg5nA0PVHwMNhMjNO5Wqr6sIclFbwrIAGBAVgRBSu1fQaAGEZtoIPBC4IHwC372nJpGia36MAVr7THlPsax4ddJSYYGVqI9EaBXQAmSQ1nlx8VK2TH2VztKpkX+e8DdEgX1ibibmVlaB9BiyrzWJrRphLYzQdhF+FroKpGDIO5WLS59mU/XqtgGraTO+oSwg4AhBpzzIyaWbWORuJeAk2GHzRPXVQAd+mPzKJAlrdQDsrJZ4/ZIKBekz48umeCNIygkpBcuLNX5n5S6+PzzAUL2DvJtttQhkUp6vD63nvcu3UPOX8txUMXIXSCfoN98L5kDQNlFcQRQjIOJA7TSl3QJZpeEji6h/5CwDL9Oh01EBBtwQbQJooVFSgxekCRQyWWAjAgWWEEgHthhKD1z7teNKevMe7xrYzdf3rEe4efIZCN9OaOIrzX6/g78fXMt7B7Zz08hiNk12Jia6TUaZXd6/j3sOLkTT3iqQqGLoSNYWHuP04g94qv5a7qi8Psq2tlA+y8UdX2PE38gjM2/EF5K6le/O3mGQBgFZVgGAspwAoK67rJWZZRVwkqs2U1HQtCeFCDPxQcOH2OcbmC3j5DPtdxw0mZOj1WjQ3rT/DEVnBUWnKxLiWco32M8eqJIgwj8EBBIW5s/lYP0+evOXxO3K2c3NQkDF20yHG5RuNmDEfCbC/+Y3RAqZcL+/yewY7kvUBL7loEyyQKDpcDcy5T9Lt3tWW14SfIXtjjcepCd3JkLIRGVHx1gHaA1OtNDkRJlOdwPT/iY6nFNCAKjDokKWO38WynIFZAGB9DiSKoxJcIIxJGUAVqSEnA5TfAtBQ5RoUKZTjjKh+6Myzobs+Jk0CDDnkkAAzij/hBW5TTxRexObGu8GBAKfZc4jXN31f9lUu5bN1bNxpIgKiAUxAjoC9b6MXQaOlNx9YBFXLd7Hj4aXNO1IMmRkxHGd07x+6QjX7VrDlCokLYMtZVKOf96zjvet2MLf71jJcNWNXG1aCYQM5KWWIgokjOGVbgrUjnjKAAKmwmvSYhBe5x5py4A/+4Vtvv+bSkeFm0A6EjcncVyBdAPzkwxNUibAz3YbgDFjZ0e4mmulTJm6RGjqciQ5V/D7q3fx3b1raIhCZIIrZBxpt0FNFPjKzvVc3L+fSxYeiH3rqQNgcaHOCV1TPDLR1wQE7BWKXb7YkYKTSrdxTOFubqv8N/bo83CdXKCQHYcxjufO6p/R0At4ddenyYt6ZMpMuwxs5W8LQ0NGoR5buIPN9cui1a3rBAok5xi3BBEQyDkBaJGhEjbtGKEflzxu7S6wj1aU5SLYX7+FZcUroxW5Ub6x24TwiIGMuU6KYEL05c5hrPEgIgzvareuSYOpCe9xut2Tw3uGSozQpRL1SdLELSxQ5UgRKe/ov9XEgtzJTDTmtqfY5k1rxYH6vSwqXBjxZiwCBghE4ECG/Wb6SMb9t6x4BfvqtwHa6sPZLTfp59kOCJgxlTWOAtApw2vistlxrErA5+b65RxfvD3qh6yxb1MrIJATHld2fQ6Nyx2V/8IBTiLnOAFvTo5RzuHO2l+yJvcwp5VvJO/IBGhvZyH49WQPq0ozLC1UE/2SlhHn945x5eJRvjq4jilVSMiaLJlUzjuU8w55V4Jb4Nsja3j/6kHyjo5ioDJdojYQbCFLjayUrmgCAtKN3QJuPpDXbi5eyB0J0kod9vGbSkcFGEj4vJxgkDlh7EArQJA+oNmcZc41mblcyeuX7uWhiT7GVDmacOW8QymcZOa/PRltZS0cl+t2rWV5scZvLR/CFWnTqKAgNe9duYtvDg1EVoFsi4ATrTjyruSY4q9YlnuWB+p/hHRKFMyqPDoCULBNXclz9at5ddencYXX0mSZBgWQ3kqlWZ1/lCH/rIQCMIo8BgSBcBYopv0n2Fv7ISO1HzDt/xpQkTC3v9sqfiBNsyoaKZjxN1OQy8jLLiuewfyWGBQIwtcyqZiNkpTSpTd/JmONhxOKuJWf2ZDWmpoaoWztx48BiUjwJKL31iFFtGI3ilJaClsCedmHp8ejygbtOYoBxZT/OF25E3BkPrJYSJKKPuZHRDwZ3g1AcGWZDmc9M/5TibZtC43p01aU9SxjhR6CTSkyx5EjwnFkA4IwViVnga0RdTLL3SdxhGoClOlx3xoI+FzZ/Vm2NC7mee9anDBGIDnXBI4s8GDjw/Q5QxxfujsCBPbcTQP94LXk23tW8p6B3eSl38SnK+BNy4bZ2DnD1wbX4eEmQEDCZRjKJFsuGUAwqUvcO7aYty4fiRY7Rvmb+ID0IgloKUvNNUYmGyAgRbhYc0W4gHMi2X2kSKvDjBl4GQy8tMnNOVHwi1H+swOC7AAcSLoH0lYBKQVLi3VWlav8eqa/acIFk84l72aDAhsQ5FyHG/YOMFQt8tG12+lxG5HycoXi91fv5NbRxRz0im2tAjYQWOCMclLxFh6s/yE56VJwZWgRkNFr1zGCUbCP03i+cSUXd/6dtTpOCiebmt4LwbLc84z6GxHCiRWUZQmIAIEj8fQoOyqfp6YG6cufycL8K6irEbZXPktD74lM0XYQWCtFnyY7h0GaBHCwcSdLS5dHK20pYsVqfnu04pUhKJDZSrcvfz5jjQfmMUqhpoYpygAI2ApXGusDRIAjAQIyAIE0CpgYUJjVfNlZTUXtbAtU0u8P1u9lUT5I0WtbTcz9s/rIKHVznenTpcXLOND4RfA7Rezbz6LWIK7Z3SNlEITqSkFd72VH5XPhODorHEfDbJv5LJ4ejgBBs3vB3FMy5J3MyvwTUX+0GvdZnzlCcEHHP7G9cQHD6uzIIuGG4zw93wqOw2Pe77Mxfy99zlBCHthzOt3mmJfnJ3uX8qHVOyNA4AjBAtfnD9ZsZ8LL853hlQgrINHIl7RcCmSSkzhnrnmmupC+vMeqUjWQe02B2LFsbAYEbRZOaSDgWIGKISBwc3G9jJfppUtHRcyAcQnEgYPgewohNQ4SHxUFwSBjhGP739pF7KatAm9cNsJPRldgIoLtyZZcMcvIj1z3VGCWA2qeSgiWX030s6NS5ndXDbKrWmR/PccZPeP86+gSnpnpyVytm++mjws6/5kHax9AiFyk9G0To1KBX14JASgaCnb7Z7PYeZK1+YfYVj8rAQGzkg6leVmXv5+t9UuDz1Kr+QAEiDCIbIzdlX9kbef7KcqFkfWl013JQnUuW6f+joHSe3DlYjwFUgbV/JJ5BHSUk8DOohaNBZF8bVaSStfwdZWitW3OKK9YqcXf1UFKPnwVBuppWzkKXFnEER34egxHLADdOlGMuWtVbaHT3ZBQ3OaeMR8xEEArojqvQiKEjNoXYbnjoPiSTmzX63Q3MO1toZhf04KjJPl6BiEcXNnZBFJkuz4KYxVMFSMd9lXe6SGIsZjGkR0oLVAiKMY033WVbRUwYMTTBxiq/BNrOn6XkhPk7xdC0OmupE+dw/bprzFQeh+OXEjOEfhaoMKtc44SeKELY4d3EcfnbmB77ZTMtrMsPebcQO4JXKnYUb8oAq7t5lsDkNrlwfoHOb/jb/npxH+25lGcd8AcduDi1koXt+7T/NHabTw63kOX67G2Y4bv71nOUL0jUw7YQKA5CVkgl+pe4OYybd10YIA3LNvJ5yurg/gq2Rw7IAm2a0bxA6lgxqxAQRsIGDeEWaiJECwcMTrcHQEvxwy8tKnDDXxdBhREVgJHNpu5hEgMXNv3ljWI7R0EUgoW5D0Kjk64B2LU3ewWMKbALP8gxIp1pFHmc9vX8dB4L/saBb60Yx1PTnVn/t60KdG8X+jupqHLTDMQCaXIx+qIyG+fc2QU5W8E7GO1d3Bq6adNEfVzoYXuTsb12pinFCBwQrPucO3brOp4F0W5MDI7y1DBFGQPazvfx1D12xh/s7nXfAscZdGM2kynewwQ+//Tq3EpzIqUaDuhrQzTfdPhbmTGn1smMCGgrvaRl4ubPjPxDIYvaQOB1GGAguHN6GbbalGQi2mofXPum4q/nbKzvonf2CogMvvItlJIA2pC6NPlnsCMP790z7NZBUw/7al+m1Xl91By+gIrioytPCWnj9Xl32Gocn0CYMUxCDHwmlDL6XL2JgAktAYB0SEEZ5R/yIOVdyXGhmO1lZ5vORmAhSpLmNJLWOJuSVj4TBtZ2wwBtlS6+cL2dYzUizw+2cNnt61nqN7RzJvM3mHUTi4Z2TSpijS0w+JCvcl6CiSsA/YzS8tR+/rM4GsrpqsjpykfQcOA8tVhH7+pdFSAgd9ZuYsPr9lJd05nB76kBvWhkPn+ad0TPDLem4nGDSLPej3bvmIIFPuOSpknJnuoKWd2E33qfscU7mNr45WRrz1nJqlIHvZKywgzLQrs99ey0NmRjF2YQ79pLZnNO11Te5EU6XCWJ1fFwgSkCYpyIUVnCVU1GLQtDu+ZJdr391B2BkIlLxKrcbMaNq2ZzyI+rfvYWQJzohtPTwLt08dqwoqBcUmi+H7Wzc0nAkArtOdTe2Qv1YdH0A0vthKQFMjNvdScJKbdTgdPT5IT3RGwsLvd8JfVR4aP2LoR78wouwNU/d0t2zxUqqthXNlJyV0agRN7LEkBJWcxedlHTe1qO36lINphMx/qkXuY9BejRGcEDuxttAbM2Lkz7DiarY1XsrF4b0uLn6G0y6KuHZ6c6mZbpQPzBGazFGbJnCQoSCYp+/VkL2f2BDuDogDXFvKz1blEqvbUgsosxkqu4oOrd/KBVYMc0zU9r/5/mf5t6KgAA1/fvZY7DyziXQO7Wg5caHYBtPos6705t7ZcZWctQOTpBCJZecpbbcUzNBdlO9fv9Tvb2K82RkIHkn50W7ka4WXTPn89fc6OQ+KnJZ8hAJnxn6Mnd1LQtr2aRSTOdbnHUfG3zHpfO+dAnOO+ddZCRRVHlDI/S6x0RFLpNd8nvr+nJ3FFZ5RroFX5Z0M50U9NjbS4czPVn9oPOYEsu9R+PRqczCihalpQOtj2VfX3kpf9IQCZnS9HdNLQk005E9Ir5vh8+z4K7llEUWtzRcjzPJ/jjL+VTue46L0Q8TiKEjcJQU/+ZKa8ZwN+ZTwP0mRyb8yH+t2d7PNjS4pMKPukVcMOhDX9Ns5aep1d82pzNspeKMgmINDuANhe7WBVqTInGTobZclUI5/fuWIP9x1cyN/tWsdzMz3z/LWHTi/vJjh0OirAQOBX66TT9TFpYuZboSmd77tVvYAO12Pam18oRSvkD9n54ufyPkvAC+GjyM2JJ6V0U6pdBw+Fk6wO2KIfklXeVNtiMwBKt1bGSZKJVW2iRr1VCrfp/lnntMbMXYdO6moiLPdrPg8+0+mSyS38/3ZXaA2T3jMUZaAUTF+oMP++OcxnGuh0T2S88VigpLWOSg5H9zf3BhAS7WuEI4N92Oa6cOtLE88Wx+PeY3Q6J6V4102H4ask1zIdKk7z28x3WlF6WOjUZw1/EkmQltvXOjzi+87nOSbb0QgrIUhQnFJHfWC+IimhdNW6V/ZvkHj4OinmZssX4WuJtKpzzj9799zEql1Rca7XHg45UjDju3S4XstrXqiyxgvzdZ6d7oraPVL0cgbCQ6ejAgwEikkFhT3C5EJpYQnJgdxqUGd9z1yvlWbKcyjKBhBkEjNtz86ftaJUrculDhQrXLBgH+tLk5gSq63Kq5rz5n6eLuDomUj4Jq7NOGcoUA6wxH2K4caGJp7TiZMSoERrxv2lLJA7g8/CdkztenP/vFzCjD+EIlS2oRA3Atysaie95yjKNdG9gjaalYX9e5JtGhCQBBElZx1T3nNJhWt+OzEASPwPFbYmVoxGkdf8UUDjip7EvfzUYSvenFiI0h4VfzTZD1pHrgRlAIKQFE5ehJrx8PbXKJy2OAAIIe8qbM98J+brIA01Tl4ujawCWXxF/CqNFGWkKDPjJZ+P6YdWfRTwrBPgwbye8p+j7KwL2lfxMzGgYD7P0YA6pTUluYYp79no90bP2IIjWmuq/m7ycknUvhlHSse/qVOMMO33thzjrY693gaWuE83ldSOflvqN8W/I+w7VUdp2dQu2DIlNX+VYn15igsW7GOgMJ353eT1gVwy8sGcm+23lh2Pac9JyFCTsC1Ns8nQdgusENIm+HqZXtp0VIABpRSv7h/h6akOtIoHr515MHqt49fpwwxW81rpIMuWPSm2TpdYV55umkR1T1HzVPS67sUT0Z6YrY6SaPC7A9u5qHcfk77DCV2TfGzNFpYUrNVN5nfj+w41jmep+2gkfBpK0/CTq0FzzgivRvjdIqMUmGTMX9zUhpc60p8/WX01JxV+HCsOFSvCRvi67BzHeOMxfNUIVuc6CMz1VSAgfa2peAeY8XZSlGsjBdBQsUKw+VYJwR7fwygSP7y+oQKrhcsAM/5OfNWI2jUrY6NYgnvEQMDcx1ehuT28xlOawcq3WZR/HRpo+CpqRykSh+FZ6aDvFhdez+7Kt6OxqMKdAL6KlYhRtCKfp/iKFZTOH0Dkc2ghw34LlK7hT1u/f1fl2ywuvC4CAnPhy1eaRfnXsbv6HZRS4W/XcVthH/nhtaaPfKUjUOKrmB9PNZhsPEdRrreASFIxzuc5xv81rlhOXR2IAFUwBkk8U0/5HKg/SKdzcjgGFQ1fJdr1leb4/I94ovrq+HellHKrMT+pFgCKTjEU96MKf0vUP0G7KsW/rzVLnE3saRybkg/NPJjXvW6Vj6zeysld40z6Duf3HeD3V26j223MScH7SidkU5ZcMu9XF6bYPlOOZGF6AWXLUCMT5ypD7WseHe/k2sV70GH7R4q0rw/7+E2lowIM/P6qbcz4kht290eINh604YrFGsTKGuj2EQEHbb0Oz/teICQfPtjFGV0Ho0kVTzAVTTojQGohKKh7fgQQak3f06wqTPHBVdu4cW8//7hrBQ+N9fD9PUv5+50DvG3ZLk7uPJipoNPnnpi5kGNyt4bKSVv/4yMCCUrjhUBBa5/zS1/l/pl3NgkMm99Wbe/1VqG1T698PlAQmhiIhP995bAw/yp2zPwjNd9LCEdPBUBg58zfs6z4DjwVK3KljDCPlYcBGA0/EPK2YjGC2Vzj60DxaaA3dxHD1VsSqzg/LJncML9Lm/8xEIj+h6/3VH9Kp3sCebk0at9WsA0VgwPzmVGEDkvocI5nT/XGRPsxP7HC9TVoIdFC4iPxQyAS86YT3x+p3k5RrqIgV0YAZa58Sfrods9md/UHMR9W/zUSfMWfBWPdOqc0I9U76cmdi9IiBqMqCejm8xztcay0ZknhHeyc+Toz3miTovWUz47KN+jNXYzS+bC9GGgZPjrZQVGMM9TY2DS2ZxvzdU9x79Q7Ob/0dyjdyJhvKjHnzHnP1zR8n2NzN/Jk5RJLhrReKBxXHufdywf5p10r+M7QMh4a6+Ebu1bww+HF/N7K7awvTUb3sWWMfW/z2simtFyy2zujez8PHOhOyLxWMtSWkXORoVpplK/wPcXNwwvZW83xh6u3cGLn2BHTFUod5m6C3+CYgaMiz8DnNq/CyZcjAOB7Khx0Gt9XKE/h+yplKci6U5gPn+CPVkGdA6EEOqxxMF6V7Ku5rM5PsMdbkPi2rzR510mdU02T1LYcnNM9ykldE/z15tVUlJMIUNmvcnx682ret2qIXrfO3WNLqHvx564U1D2FI/1ga5Ass612Osfmfszz3uvDX6LwdRzQZAvZQDj7nFv8Ms/VLmCkviJj5RCvPIxvz1c6yqNecCV1T3HP1Hu4puevuXX6v9BQZaSQNISmavnYiu7JaEexZfqz9OXPoeSsQuk6E94mZvwdLC2+B6EXRUDA/m8UtgFyygLoyjd1BML87QJyBHu7TVZ/x9eU5JmMeH/HZH0bPfm18fd14LfUVrIAZa2KfRUrrpHKnTT0FEtyr4mEvlGoQf9azz48F9RcCPlyoNu5lL2Nf2Ff7ZcsKp4DSsRmUylAxePQxL4EVoR4hW6UnFHAB2qPMe1vY3nh/ZFiNcpzLnxJqelyzmN/44cMV/+VpcUrgy85QFiVSAuBEDoK9lTa4icEJpPeIBPe0yzP/0EEPubzHCO+WjxHPEXOWcDS/HvZNfNNiu5yut1TcESJij/IwfoD9OYupMM5i5pn2lcRoGkojfJrnFv+GrdOfqzFann2Mb+vvpjHK6/iwuIXuaf6UQJRKVFa4ToiqrllWw0aSrHOvYU9jWMYa/RQsxYJ9urd8HT+glE2lqf4zNY11HxBUA8g4G1wpsinN6/m91bvZmCmwl0HFpF3nQR4MffNuwEocKzsT7ZcmqkHfCxxJ6n6kgM1F639eCEUytBIoauYj2Y5mpShfiSv4qoG5v2dIwu4a7QXr/ryboKjgYRu5UR/CdDExAQ9PT2c+z9+glvsQFtoNgsI+J6KBm9WcFRW1cJoT2xY/8DNO3TlNX9y7CBfHQwKFJXyTpRvIB0MY5vpbCCA9nnT4l1M+5Lv7V4SVAVTSZ7izF7w1hUjSAQ/3be8KadBkGbUpZR3KOclr+n9G/Z4p7HDvyxK+JMAA6ECQU1xQelv2FY7nScqlzZZLszKIk32NkkTrZx3JetKT3Jy6Xbuqf4xOcehEGZhK7qSgutYhYrqzKjHqak9SPKUnY3kxXo8s8JOKRCjiI1QtZWv/ezifelEuRTMHu+iazLEVRmqfZmVpXfRlVsebQ2Lcg+E9zMgQBEoOU8phio30lDj9Od+C08T8Zr2gSf6ytqeFZdxBldohuvXsSB/Ov2Fs4N8EFIQp/+Nt+uZ8aqJQUq0GleafbVfs79+LyuKH8BXMukCiEzX7fkyCaJcIdjv/QBHuCwvvh7XPOsWfaQiQALTjb1sn/k6A8UP4qlyoIxneY7puZhMW9z8HO2CVxLwxA6mvWfR1MjLJZTlqQiKUbvVcExXfRXy43NO4Qtsrp7L89XTMxVxMG+T477VmD+x436OK9zL3ZUPo0RP2/m2wrmP1e49/HTs41Tqmpm6T6XuUan71DxFpe5HK/YrFw5TlB7f2rU0innIlg+a1y/fx5JineuHViKcZMliO+tp8DtEYn4bIOA1Gnxw4Hk+v3klY1WJ1/DxGj4qlKNmgWUvploFmKbLFts1XaSVGdbIWK86zQP/7bWMj4/T3Z2dW+VwyeiK+958BZ25uQVZZ9FUo8H53//5i8rrS5WOCsuAV/dB+rFfKhzAWsUD2R7AWf4wIcPqb1ogFWgZJDJSQoOnggx6voI6TOLw7cEl/Pby7fzD7mCFadB4eiuhWW3YprxuUeHdA4PcsrePhw92J1wXCVImCxh8Z3AJ1yzbz1uWDPL9kZWJywIAEkcA33jwQ1ze888scp7lsfo7qdGdWM0p7bHGvYfjirdw3/Q72VE9hrrnJ1YTxnRpflvcDvjKT2xdwg1WbFsrJ7LAGeL0wj/xaO29yLDvop8jJUoLcjJPQZ5FwTKi1CP/Pglzqwrf2yDA8GO6TArw0SgpQmUiaPgq3OscryiD0VxkWf73GKz8PUv1tSzIHxesjEVyf722Ygdq/hQ7K/9CUa6lP/c2PGvV3c4yAEQZMYMVeMCP1AIcwdL8+xhpfIOGGmdJ4XJABj54EdxHkMxDkPA/h2Bgb/VuJr1nWJb/Peq+iNwqNgjI4i3Nl1k0KgF97puY9H/BlumvsLL0bopud9s+8rVmor6ZoeoPWVF8f0sg0Oo5mmdpnmMwVkSYOTJYaYNChaWbzTgKlO5qupzV0X08H3wdjx8DBLzQXH9i7nr2NwYiIJBcjScz8tnjPj3m/fDBPD55Lgcbi7m86//yXP0ytnmXIoWbmG9ST3F68XqkrnPj2EcTQCDLrP+GxbuZ8iTf3LU0zDXVXj78aGgRpyyY4sOrt/CtoZXs8+JdO4FlQCb6GpJyqVb3+J3l2/jh0OIICChfzQoEWslRJQE/MCr5nkolI5JopXDcILshhPL7CJHyCaraHsb3f1PpqLAMnP6ff4BT6IgCVoxJywxg5elo8GoVlIBd2Q2LOoLVx8GKZtsBTUOnS2zSlNFQuiIqsHFm/zRXLDnIP+5ei5K5BAI3ZKPwuudzTvc+zlwwxnXblrO3motcG9DGMiBiFH3ZogNs7KrwrT2ryVn1D4yFIO860ft1pac5q+On+OQ54K/G1w4LnD10yr1sq5/JY9OvouK5qeCipGUgi+xkKHYKZmMdubD7ezjS4Yn624L87OFnZlVnZ4QDmhSXvYr0UoFu9oqyiS+TCU5amQ+t6nXmf9GROLLOPu87OCLH0sJrKboByo9SVQO+ajBa+wVjjUdYUngTLqutoEQDUnRLy0A6r0O8ApeRlcCVMO7/Kw09zEDpneSdUmQZMDkYhIh3X+jQMlBXNXZVvo2kiz73tXiWb9/uy9l4S1cHtCtG+noXo43v05M7hf78xeScQlMfNfwp9lR/RkNNsij/DpQutAQCxjVlnmOapybewmcZJO9pthKkx5EZS+a5VL3YV1/1fI7N/Yi8PsBdk+/OVMJzGffpJGKmAmHR9Tm143aOKf6KadXPmL8CIXz6nEFyYobHZq5hc+UUyyzvU6n70cq87ikans+bFg8yVM3xryP9sWm+hXyAZJKfhQWP963ZzZNT3dx9YBG5VCVTm8x8d7THO5du5/4DPdy/txPlK7yGH1lWvbofu15TcjTvwKoeWFgWaA37ZjQ7Dmp8suWonYbY/Afwa9M8+v970xGxDPzita+kM3foa9yphsdFP7n9N9IycFSAgZP/w/dwCuVEtKttDTBWgiUdcMlah54CbD2oGJ7wUAr6Ox029jvMNOCW5z0OVIU1YJsBgZuP3x+3oMrbVu7lJ3uXsbXS1ZRTwAiX1cUpXrNoD5smOrl5eCGe1xyVC/GEz6qZYMxtF/aPcXLPFP8ytAY3BQjiQkmxibDsTLMoP4TEZ9xfwrjXl3BfGKCSDl4y/NtkAwH7SFZOFFzc/V1cCb+uvyso2hIWbzHCPJ0ExgYERqHFcQ3B+aIYY7X7AEvdJ8mLmTBhjEbhMOpvZFv9PCb1QAIUmOIxxgxvg5KcI2joLYx5P0cgKbtrcUU3vp6h4u+goSboyb2CTvkKvDAYLuYtvfq2f0u4orSUmnmfLsVrFG9Db2Z/4yf0Fy6lL3dWkKSG5noJntKMNX7N3tqt9OevpiCObwtQbN4ywYAgoVQNWDE8ulJT0Q8z1rgfV3ZRdlaHNRkmmfa2o2iwMHc5eXFMwjRvAwAD6GzLQKcYYm3ufhY7zyGFFz3Lui4x4p3A9sY5VFmYcBcYcGeeZRoI2OMoGdDnc5z7ffKMc+fke6h7OgEE0mM/a9xnjXk73a+dcbTbPcgCZxiF5KC3gmm/MzDFhwrYWARsf33D83nrkh1snS5x20hv5u6naByouKaKkRGRfJBwxZKDnNU3wU9HlrK91p2Z58RXmoH8JG9YMsQPhhbzxIFSExAwLtY0EOgtaC5f79Cdh837FXunPASwpEuyfqHLZE1z93bFnqk4JbHjNJc0jsHADJs+/ZaXwcBLnI4KMHD8x76dBAMpU1ZfQXPVRknDh58/X2NkojmphpAOSzoF155YZPeE5vatCi3mBgi68po3rxxlSaHOw+ML2FntoOJLunMe60pTnNw1wVC1wI+H+hmvu03BjJCd38Auo5yY8K7kvIXjnLFgkn9uAQjShZNs90V6N0AWEPAs4ZN2E2SVdDUFUex6Ded0/ZSF7h7ur/4+BTefWOFB2gTeHNzoh68Xyac5ofAzBIrNtfPYUT+Zmu6KvuvQYEX+WTbm76HDGWNT7XWM+CcnFa5M+pvjErcyzHtfpap2oJnBEUVyrECKnkQgXjoALh353orscspG+cZAIFa8jmww4d/BjP8U3blT6HJPoCAXA4K6GmXSe5rxxmOUnY0scF+Fr3MJ3myA0rCsAbPxZvOVjG1IAhfFJDV/EC2qCMoU5SoE5US/pCPrPcOX9SxPKdxAVXfyXO1C9jSOp65jH25eTLM6v4kN+fuRwuep+msY8U/EETITFLQaR6Zdz/c4q/D3TPvd3Df1pgQQMOPejqg388Me9+mxPxsosOeIuZcNPGwQYIDA25bs4NmpMnfuXRC5Nw9HRvTkfa5dsZ/V5SpPTHSzpdLJeMOl6ChWl2Y4o3uMA3WX7+1azHhNzg0IeIpL1krW9Qp++lSNoQmFzrCbL+pyeeWGPJ0FwU3PKUZnSCyubF4hAANPf/5tRwQM3H3NZYcNBi6+8Y6XwcBLjcwD3vihb+IUygAJEFByNK/aIOnOw8+eDkBA1uA1JKSDkA6vWOly+kCObz3uU/FbAwK7Epd0JF05xWm9k6zpqFJ0FJOey5apEk9MdFLzRMJ1kU7qYUirKMkcYFkGwpzeJiBHSsG5/ROc3TvJP1mAIF1SOeHbD6nddiY7IdJs5lIgCqSyLQQ2D8eXf8XJpdu4p/JhGqI/YcLPBAMWCFgsn+SU4g2M+Ut5ZOZaplR/Jm+2taIoJnhF+Yd0Oft4oPJe6mJJwrRsFJztNkinkI36yTK1mxW3vTXODoYz12f2l6W0bOVruwtsK4HEp8bTTHvP0dBBwaGc6KPsHENJngi4TdYAG6Cko/Vb8WV4M88hXeo3/dr+LXYf2daSLLdAw9fk2c8ril+nqjp5cOYtTKmexDNMA06ALvcgZ5RupN/dweO1NzDsn9JkKTD9mh5HDV/h6DEuLH2RZ6vns2n6wlQukOZtdfMZ++1Agf07zH1s4GEHEzc8n7cv3cHTk2Xu2rvA2s7XvE3PkFXIMiI7778NCgqO5qQF06zvrNCT86gpyc6ZEo8e7GSy4SRiAtoBgTyKt5/i8PSIz73b6pEcbSVPhXRYWBZce2KJqi+4+TmfGS8uZ2zz79dmeP4r7zwiYODOKy89bDBw6b/e+TIYeKmRecDrfv9fcPJxooy81Fy4SrK+T/Cvz9bYPNpAKz8xcJX1Wsogkk1Y/wd6c7zp5ALfetxnvD47ILAVdZqyJnfAQ7zFsVW8QPC6ebIbU1s7QJCVexySAVJpQZj2mbZSuua/LRgNKLCrNBZcydLCEK/s/geer7+Srd4l5FIC07RjBPki+RSnFG9g3F/Cg9NvYMrvmZOQtnnqdXZxSefX2dq4kM2NVwa17WXsNkib6o3Ssynte08EwFn82mmHW/GVjpLPdhfEwCTnNCtfOzdA2l3xQvJm3DlZoCBNWTykA0BXOXdzbP5W7pl+L3u91bOa49PPs8OZ4qzyj1jo7mRT7fUM+ydHloIs87fSmgHnXk4o3MRdk+9jqLYqFSNguwhU5pbCNG92O/Z8agUM0jzZQMC8NkDgqckyd6eAgHkduw8J/2fHDQT/W4OCNCXyBcwCBDodxbtOdfnJU3W2H/AiWZolT40sDfgJFldreh2uPqHIzjHNXdsVNT9ZPM6vz7D1b9/1Mhh4idNRAQbW/94/UyqWGOgWnLxUsrAk+MW2OpuG6olBq1qgWQMCbFAgpEN/p8u7zijyTQsQSDdWxjYgSE9Cm7IQvokShvZbdAJ+RFtAcN6iichlkLMUsQlusgVXWtBlJS+yP09TWuma18nSqLGLwgCToutzVsdPWZV/kmfqr2KXdzY++ei+BTHJKveXrM3dy35vFQ/PvJZJf0EmT16KN9ttYfPmSsUryj+gxxnhgeoH0aIUuwYylF67OIZWija9syH4nm5aQduKyw5uzLIS2LzYxYLSsQB2bMWLyVur/rH7KB3wGWT8q3Fu6WvM+J3cP/02GsqZ1/O0n6UjBZ3OBGeUf8pidwvbGuezvXEOdRbEv4MGK9yHOT4f7OX/5dTrqKtcJhDIyi1wOOPfBgXmnH0vO3q/7gXJa34rdA3YFoEo1knraLEwm5wwz60VKABayqTAHUFLINDhKN5zmsu3f11neKyWsAi0kqcBD7FMNfL0hCUuF68vMF6DTcOKwXFNTQl0fYbnv/aeIwIG7rji4sMGA5f9/O6XwcBLjcwD/rPPfBOZLzI0rnhixGN43GsCAe3MWiJlGbAHcH+nyzvPKPKPj8YuA+k2759NK2ybskBAlOu+hdAJ+IkFtD3R7X26BpScv3CMU3qm+Zdwl4G9Uk+vVCDbOmC/b0dZgtDeUdAKEATBjDOcULqb1fnHkSLedljXRXbUz+S56jnUVKGJryw/bponyI5nWFt8grNK3+fuykeosbTJbWArvUQfzQICDCuBGV6TZ4xOuR+HBg2KTKl+6rqzaeWddpWkV9+t3BYxT6lMfhlb9pK8gaOn6ZJ7yYkqPjmm1UIqugcZ2mrb8Wa7EposFan+MfEBOb2Pi0qf57HKtWyrn9EyJqXdWGvlp8/LOusLv2Jd/mEKcia6XmvBrsbJPFm9hJkwaM8EyWbFCNhbaQ0vs4EBm6+0JaDdXLOtA3XP521LB9k2U+T2MFgwsQU6BQQOR1bYbsa4n2LLpFH6NhAI+NHkULzvDJfvPV5nTwgEXgiZuqhTcvKyPCt6JIWc5O5nx/j5X7/3iICB2y6/iE73MMCA53H5bb/4jQQDR0WegX96cAqZV02DM2vAzqUEZZRBC9g3BT/cVOMdpxT4h4f9YI+qF1zluDLKsBXkJxBoCSK1j9U28aUn9lyqgCkJMmJb4KNwwj3pQgarifv2L8CVmt9aupNvD69K+C6zBBRkAwH7v/06y/SZdd+ap6KshAB514leu1LgqxIP+VfxqLy6jetCJUDAXAS04SeLr23VkxjzFnNF1xd5sPpuxvRxoQIV5LSMMt41iFfNvi0wMxStrzUCnxXOI6zL30tRjFNRPUyqRfg6T05U6XL2UhBTTKglbKlfzKg6Hl+LcE99nBfBCX+WEiC1jvb9m1wA0W8017WwBhhQEFyrWCifY2PhLnrkEDXdyYS/mIYu4YgGnXIfZXmQqu5ie+M8djbOwhe5TN5M/xge2/VPw9f0iK2cU/577pz8IPv95QnffFbRnNmeqRkHBhT4MscT3gU8Xbmw7RhK1gppDQRmA8PpOZAea+ZoNSeSYMDnzUt2MVgpJIBAlNI3AwjMRVaYHQZRrhQR5CcJ5BGk63Ca+9v5WAwPfpC/mbef6nDj0w2GJ+LFlW0NsEFAK7mqlY+QTpB7UPlI6bB3wuG2iUYEFFS93vJ3vUwvHToqwIDyGiDjAdUOBGg/5SJwkimAhXSCQU8MCAYPwq+HXC5fL7ltm0ZJECpIqGEAgePKSGkHQYAibDdp4jMTLuCzPRCwMxao8E0ACoL0yKR4uHu0l4KjeePiXfxw7wB1r3kVD82COC0MBZqlhRqL8xUKUlHxHfbUS+yr52lfxT6gVoDADy0Hpp1WvlVort6WBCjx87JTrLajg95ifjrxH7mq+/M8XbuS3f7Z4ScqpZCTpvUsk7vSDY7N/Zx1+XvYWT+T+6bfxbRaGF0f8RYCiwXObo4v3MEZ7nfYVHsdQ/4ZmBS/0UP2k2l4DShI9I+OeWiXg2Gp8zinFH7IAX8Vj1eu5KC/siVvZXGQDYV7uLrzv7O9cS5P116NL/JtAEt8jyyQtMT5NSflf8jNE59gwuvEDlQ91GfaEhS0GUPJZF/NRXrSQCBrLizM1VhWqFB2fOpKsrdeZE+tiCYbGGfxlG7j2kV72F93uXXvQrRKZUdtAQQORV74BODAyCMIZJItj9J1A0yGVq00F68WPL/PZ+v+Rlsg0EqutiIbFESLNq8xp+++IORrtGjfj7N9/zeVjg4woP1Eaqj5DFZz3gYFaUAgpMMDO+q8/xVFFpc1e2dAC0GUK1zGSt9MwvSgsdF95DKYxQNj5KOZ5HZQoVI6yBpnfIohD7cO9/H6FaO8qm+YWw8sC3iyVjI2pYVgf77GZX2jrChW2VUtsqtSoKocutwGJ3dPsKRQ4/GJbn5xYBF13V4J2/ete35Us6Hmqci/mrUqbB3MpRLvrV6yXmcrEbPjoUKZn41/gld3f5F8o8o276ImpZfI0mcF3xnFt1g+yRml69lcv4gfjf8FXtQPGStKgvb3e8u5x3sXRVnhrNIPOCZ/O/dVfo+6XpBoPydlBBB8Ha/CE/ds47JwmeDC0teYUd3cMvnH1HRn5MJI953hbVIv4NHKtWyqXsMxhV9wdef/4LHqW9jjn4YBLHZ2x3b9s9y5n425O7lp4j8x4+ea3ALNijd+dklg4FvANQYHWaAg3efNMQCqyTKRBQTMfYT2ubRvH6d1TzBaz7OzUmLScyhKj/N697OyWGW4VuCO/YsYqRczx1ureXZp7whozc+GFzfn+p8jEGgnM9LywjznSG5YD88GAvEOp+CZ9hY06/skf3t/MuYq+J4JHpy/XE3war/WRzIDoUKJZn7m8/3fVDoqwEDWgA3+Jwdsu20w2vebAEH6fj/cVONNpwTxA0pqpAq2C0rCVV1bHrMndSvTn5ACrTVCxG2A7TIQYWEemnj48Z5FvHvlHs7p2ccvx/tb8mSEVEn6vG7ZEF2ux40ji9heKTdfvB8EmrMWjPPRNVv46d6lPDvd1XxdSGlzsA0I2vFj8xW8bgYBrU3LdlGUJobIu5I6LjdPfIxXdX0ZIXy2Ni7FVnpp64lpSukGZxe/QZ4pbpr8T1RUeR58BVSlxP0z76bf2cblnX/FryrvYb86NmrftlJI0fwz0tsF7W2YvXIL55au44GZ9zDc2BiBgHbm+MQqVkqeql7C1vo5nN/xDVbnHuSByu/gi3xgRWjTP77WrHLvZ13uXv518o+p+k5CyWYp6Pn1nWoJCrJ+k91OFh/N1wXHuvI0b1wyxN0H+virLWtRLaxgK4sVXrNkmKqS/GhkOdN+ezHpK81pXQdYVqjytR3L44WBjlflQFsgYIOAVjsK4liA4JwkaQ2wqRmExO1efYzDj55shNfFVoFWQKDddu250OF+/2U6MnRUgAFDaR9Wq8Fq3huFb/xaaUAAJKwDByua6ZpmSSfsndHghBMtnIhKEdYSyBZs7VKLGkFvfLPGBzgbIIisEpEwCHyF/zK4jI+uG2RvrcDmmc5MfmwB+MPhJTwz1ZngJYseHFvA4xNdvH/lbvpyNe4fywYbkZ81IfBt50vr72QpjKzVVtYqLKDmdpKrSMntU3/I5Z1fwtd5dnjnY9wfUQVEy02QZ5zLOz7HM9VX8nztfEyBoDRfs4GBsGlGvDXcOPGnvLrrs2yqvY5h/1Sa3AaIiJfoV2nbVRADgUXyaU4vfoebJz5BVXdn8pfFW1b/VSly19QHWJN/kCs7/g93zXyUql7Ytn9WOA+xLncPt05+nIZ2aOUasBV0Fk/RmMngKzgXPNfWz52mduZ6vGLBAU7rGuezW9dQUaEvu0UbO2aKfGXHKjaUp/ngqm38aHgpWyqtgfFAYZpzFhzg81vXAIFsSicTSmcYNDSbzLDlBbReRKTJzm4YfD8431sIUl6nc7I0ydA2sjW9kErLViFl4rojCQb0YboJ9G+wm2BuDtl/Y5pPMEuWycu8hjZmr/DaXw56nLEs6BYVIfHs5CCGotrfGZPafJb1vl3mMfv6rP8awdd2DvD6JXsoO16T0vKV5tTuca7sH+GzW9fwzFRnU9vpw9y/phy+smMlGzqmOaN7rMnUatqw24pftxbS9jX2d9tfm6340lXn0krJ0wEg2JC7i0Xy6UCBpnzyvtaUGOWKjv/HA9PvyQQCc+Ep67OKKnPzxCc4pXADC8S2ODJfmbwGOjpnDmMNsF0DPXI3Zxa/xc2TSSAwG29tD63ZXj+bu6ffz2Udn6FD7GnZP71yCycUbuLWyY+FQCBuay5AoNXYac337Eo+67d6qvl5GDqpa5yTOif40vZVVJTTdh7Y827zTAef2bqGy/v3cWb3gcTvMq9dPN6ydDd/u2Mlnmqe01lWAXM+S2YY3lSL9+n7t5JHNtkuzNOXS36507M+S8cKqMRn9muduC7DUuunLLap644EaV8f9jEf+tSnPsXZZ59NV1cXixcv5g1veAPPPvvsi/TrXlw6KsCATa1MWO0GXdY1WqnMwbrjoGZFt7VNJwN3zBboM5frsia3soSSvee4WbAE11SVww3DS7l60TCQFIQrizOcv2A/X96+JhKA9nezKGG2RPD1nQNc1LePBW4cvJkWyK22kGW9zwIC9rXzEf5ZiiOdYrmhHW6d+ihnlf4Fl8ngvKX0XCa5rONz3DH1h4x6qzOBQLrt7N+UzW9N5/n55Ec5t/QPCJIpsuNKgzYwiL+rNCjtcV7pb7l9+qM0dCkBBLL6LU1t+1hrxvwBbp/6GBeXv0Sesab+cfQM55Wu47apj6PIZbbVCgjMBaSk+YrvmR0/El/bKhahub2SqPOq/r1cN7gSjZh1HmQB47/Zvooze8ZZXZxq6oNX9+/lpr2LmbFcCa0AfCuaawBhWmakzyfuqZtrHgCsXiDZeiBW1pn8+NmW1ma+X3rmf+Wrwz7mQ3fddRcf/vCHeeCBB7j11lvxPI9Xv/rVTE9Pv0i/8MWjow4MvBCUHux2tsIYJR+aws+a2O1WH+3a0ql7ZNFz052sKFabzl+1aIR/2jVAvcXPaMWTzb+P4Lt7lvGaxcOZSiBNWQo/i1oJ8FaUpTzi8yrjXPy+ocs8OPN2zih+LwGwlNacW/o6D8y8mwm1bNb2vBBsZB3p32G3X9EL2Fy/iA25OxPWAcNDu75Z7d7HjvoZTPoLM4GA/X423jKVuNZM+P3cO/1+zi/9QxM/pxR/xKOVN1BRnQmgZNqbCwCZ7bm267t0f7Trq1bj6JrFI9ywZxk1JTLn21zmgULwT7sGuGbx3iYe1pVn2DTZ2oVgU1OEvz0e58BTmg4lRYxEhxaM9op8Louslwluvvlm3vve93LiiSdy6qmnct1117Fz504efvjhf2vW5k1HHRgQYZCRcNoHqx0OaZIpQNNkZ/tKZ/4SLQKfEvefI9AIrm3/uSDpdzZUchQTXjIkZLZ9zOn9zkppts+U6M01yIv2Cv6FormuIlut0rNoj3ciC5zBxDmHGkUxwYh3bGy2b6GI0haHdFtZ1hF7Bf5c7WJW537Z9ncngUqwQl+Xv49naq9sujYLBMzGW9Z3De331yKET15MJfhZ5D7PzsYZme0n76ea7pttPWj9TJvbeAGiupViWaHK5pmO6NRsALvVHJn2XdwMX7SmvRCdTWHPRRa0DEI2tRsyBECrbKlkJLoK2njhlL6Y43bgF4O01k1gal7HIQAsm8bHxwHo6+t7IX7OEaWjAgwIK7tV8F4mPrP/vyBtpVLF2jnAsybeXM9l0WymQQNG0iDDvD9nwRhPhSsTO+fAYLXEsZ1TmVnu5gNGAJ6b7mBteW5mr4CH5toE7Wiu1oHZrmlFMjTR26l/BRpN85hJ37+dLzqtlFtd19D5MIVUGx4znpNLnbrODg6128ziuxVvrUhrJ8GjFAKlHVzqmby1ovms7NtdlzWG0uOp3fjylWagVGHrTDmzsuNc54CZx2tLM4w2ClG75vj1RA8X9h3InGdAZt2AdjQXvtLljVvxnHU9BKGiaXn5QshPe4Fmy+wXSjbPhZSvD/uAIKOhfdRqtVnb1lrzJ3/yJ1x44YWcdNJJL/ZPfcHpqAMDNiB4oawDdvGNxZ2CAxW77TjdZwQKUkdwj+yCIS8kxdaK4H9/vsGFCw9w58HFTULzltHFvH7JSLSiz/p+FqWtAwCjtQJ9ufZZxNKZENOJkNoJ9RebTij+nO31cxPnlCgB0OXsb0oNPF/AcajWkiwlG6QLbt1OK9P84fBWFOPkxTR1ehLntzYu4uTSTQFfhwAI5tMvWWOi1Tk7aVG7sbQwV2e0nm/5+VwpLzVvXj7EjXuXNLV331g/Zy0YY1G+FskHacmEF4Ky6g/YsiZLJqVrF5jSwsOTmoHeF2YBZS/EjCwWUibPH2Ew8ELRypUr6enpiY5PfepTs37nIx/5CI8//jjf+ta3jgCHLzwdFWBACgcpnUT+a4gBwXytA8F3ZNNAFdLhtOUuTwyrZC0C2RoItJuAUd7wNkKhncBIAxFzvZCCvKN5/6pBrt+zEoTTVEOgqnPcNLqE96zcFeTCPwzBJCzzaFq5p4u3mHLKresbNA+5LIGe9nvD7MqlCYAIQbczytr8L3m+cTlOqPTN8Uj17ZxXvg7CpD1pvrPazTLF2zxnUUFW8MKiTVIk6wPYhw0OHCGo00lJjDXdby7m+LmQafOCjn/k0drbonPm2Nq4iOW5J+l1h4LPMoDdXCn9LDP5scZIq9oY6WuzXtv/58tpFmB+x/Ih7ti/iGmVb+JHSMm/7FnNe1fuouSo6Lu2so7m7iEsFrIsgrZ7YC7yKJJhQvDEqObUZUmFnd3u/D+3ZaqQscyW4siBgWBHgDqMIxijg4ODjI+PR8cnP/nJtu1+9KMf5cc//jF33HEHAwMDR+KnvuB0dIABN5cYYEI6SDcfnmsGBK1MYO0GtpAOjuNwTL9k88G4IIiQwipUFApxR0aHfd1sgCBtTWj7mzP8gbEfEH57YIg79i9mv1eKC7ykyho/O9PDnlqRqxaNRveai3UgTf35OvsbzSusZoHcXFY5q9RyFmA4XMpSBq7wubTzK9xb+SBSuEFhHuuY0GsZ81dzfPH2toK6XQKcWfkSgnW5X7LLOzNQsjJVKMg6jHI21oEdjVewoXB/go/D6a8sxbo+fy8V3csBdWwTT46QPFD5EBeV/xZXeBH/0FxJ8nB4mo1PexyZEt72GDL8pO815uXpzx96XnwpBVf072dauWya6k3wE/MhmPAL3LxvKe9duQsZrsBtRQ1Jd1+yfHmGss+QE7LFeyOTbLlkXtt8BP9h5wSs6ZW4MllkqB3NJk/TiyspHZxQPks3j3Rz8+n2w6IXamthd3d34igUCtntac1HPvIRfvCDH3D77bezdu3aI/ZbX2g6KsBAPKiCw3HzCSuBDQhmM1GlXQt2WeMzVjhsGlEgm0sKRxPNFaHJLTikK5pAwWzlReO2mxVzOwFiJvYV/QcY8ws8PbMgEkp2WWNbWP18/xKWFmucvWA80Ua63XafrS3PsKvW0bQSMwI4DUIKYWllI8DN+/lYCIyySZe7zaIsBeUIwbkd/8Lz9VdSZTk5p1nBSAGb6m9hff5+FsjdCWV3uBQrKs0xxbvZWr8wVLLJioGJIwUIdnnnsDZ/P1Kk/emHz6MjBD3OXk4o/pxHa+8KKz0m+yfnCCos4un6a7mw47qIr2bgNTcx0upZtgKK7cZRFiCw7wWwu1ZidbkSVYucjeyxL6Xg1O5JNnZOc+PosiYgkAYF22o97Kx28Nql+5pijMxKvkmZZ1gPsigB4q2VvpFJQoqEXApeh3IpUXU1GFsPDynOWeWGPKXlpbRM/tkxANF7x8kEAtHraMF29LkJ5kof/vCH+cY3vsE3v/lNurq6GB4eZnh4mEqlMvuXX2J0VICBa04ocvH6Av2dbmKAZQECaLYONL+XTQPbcRzOW+3yy90axxE4rozKB5vJ5LhJq4DjhLXp3XiitQMEbXchpARWk5kvvNexXRVO6J7ilv1LM4WSDQyC8w7X71nFhX0H2dgx0wRA2q1SpBR0OApXQC3M2pa1ajPt2KWMs3hpBgTNK9UsQNCO0oFm5l6r84+RF1UG/Yuj1XhOyugwik0Ih/sqH+bizmD1m/6NaR7SiscmN/VbAFblH2fU34gWpQikGCDgiKC0cXQ4EtexXAYix5B3GusLvzpkoJL+juFP4HNJ51e5t/IhhHDb9tFu/2y0yLO+8EDER5YlJusZ2n2TxVsrIGAr/TTYLaTGd9YYcqTA05KGknQ5cY6HVuM+DQTWlCu8etE+vjG0Gimb51Z6vuVdyT3jSxgoVjmha6rJOtDOVdBq0SCte0AsI5IKnky55LgBQJAivt5YBx4ZhjNWOOTdpEk/wVMGIDDvs2IEHLNIC4+FXQUuWl/g9ScVWbfo8OM25kovVADhXOnLX/4y4+PjXHrppSxbtiw6vv3tb79Iv/DFo6MCDPx6L0w0BFcfn+d3zgwGWmQpyLIQZICC2VDshWtdHhpSaCETE9hYAxxXxODAOqQjEUIkJl8rQADNoCDtX4xBhfW5DMBJZ17zluV7+Nae1ZHyNUfBOtKCy3Udvr57DW9etoclhXomIGgFCs7rPcivxnqbBHdSscvoXEJAOs2CM+k2aHYhzEbtlI851yEnOaP0Ax6svj9Y4UpJTgpcJz5y5rwjqbKQZ+qv4dyOf2mpdFutPtvx6Qg4vfQjnqq9gZxjzLmQc2QCAOQcGYEER4gIEDhS8Ez9NZxYuCmyDmQp9zRfs4EURwjOLn+PzfVLqLJsTn30aO09nFi4iU55sAkotQJIrfoou3/jsZIeR44U5J3k+4LbrJib41cEvxrv44K+IHtgVpR9etxLKViYb/COFUNct3sNWjhNlq/W883he3tX84alI/TmVZN1wATxpeWDadvwaMsIcw8bCBgZY0BAK7lkZJe53lwHgvsGFZeuz4VtNFsHgCY52uwWkJGl1nze25nnPWeVeO0JOaYagkeGNQdqR07NBMnkDu+YV3taZx7vfe97X5wf+CLSUQEG9lcFzx4UfPcpza3bNO84Lc+pA4XIFJUGBGApfyeJYm0y3ynlHU5Z6vDwntDMFoEAGbkB3JwTTTI35+DmnMQklCHybgcI0iuQVj7B9ErArALeNTDEjaMr8GU+EkDlvEM5nw0MbJOmkjn+eWg171s5SIejWgY32kLJFXD2gjEem+wF2lkFUkLRkXQ4M6zIP8+y/C7yUkfC3AhyGxCkaS7KOP3aVngXdf4jD9d+B+kUyclgtZ1QwDK5Cs85kl3+uZTEJEtzzydWv1nWgdn4Ne/X5B9hxDsOT3SGq+6grQgQOAFgCM7HPBpAkJMS4ZQZ8s5gY+H+KKL/cPhypGCRu4M+dzfbvUsjIGB4Slgrwj7KSYHjFHio9rtc2HldU/8E95aZbbfqm1ZjyQABAwByEhbndrMi/zydzgw5mRzntrvAVtqmjU2TPZzSPUHeYqOVn15KQV4ofnflIN8cWkVV55oARxbgts/h5Pjx6EreNbA7kg1Z1oEECMlwI0TywoodSgOBYBEiM+WSkVfRYsaJeZGu4IlRwcZ+SWcxaR2YTY7aCypb9ko3z0nLi7z7jAJ3bld860nN0/sF+2qSalZ5zpfpJUdHRaEiM+CV0hyowd8/pnjzcf9fe+8eJklV5Yv+9o7IzMp6Zb0f3fXqFzZNgw3d2qAoIAzgqKgzqPjGB9r3qKPXe0fHM/e7euabcznH0TOewQFlxieoKKMiqIyAYAPykDdN0zTdTdej6/2uzKzMjIzY+/4RsSN37IjIyupXVdvx+76ozIqMjFi5Y8dav7322mtR1CUSePhQAVSPA6bhW8ktszy3cytuMUI1XLYphgf6WSlAT5prEw+RMPayEaewl+BZJgOhwr3E7FY17YJD4jjGSglIVEWgBgN5VjE4ROCs+iyKXMNQsT5AGXofNjmivCCq+ZkM82YV7ppYg4/2DOGm/l6Y1M7KFjQ9AADbU/N4Pp0CA0FcUdiqm1bIVK/N43U1P0SM5DHL1iFOcmiih/CKcQH25K8AHFl0Stz3QfIvRQjs/0tTBGLrju+HiSRm2Bmo0iWDT70eGcY43FtmAYwSPFn4CN5Y/U+4a+HL0GhYMZ3g+fug0fc5yd9i9+Lf2tNOYmQneQY0SdHb8vBSWWPmVKkkBPuLf4lLkv+IA4XXVSyXgF8u4PzqW/FI/tOOHN42ku+/aKMiAI0Dab4Oi7wVfYnncCh/jtsXLOf68v2R5QkjJaqHyOP+1wi2Ju/HpvhuTFvrUEQtzqn6FRh0PJr9ABasFvc6cZ3CYswjj2gTSimeWmjCBU0z2D3d5LZ1cJ/n+EjPEfznZHtgYK5MsGWoKzhGjFrMWQmcm1rAU7N17jPOGXH0BAEsWwbqtDMhTgGiAJIgrwYQRMAdfJTRS4Cjawy7QzFukwLOODjluO8wwxWviuEXe6TpAKXIG1DSo0E6VBCB1/bEcWa7hu8+y8A4habB8UIAsE7emJNZHAxHnzhoudMEf044JciAHtNANApCuWt8b9/HcfVmivO6E3h6qGB3SqBsapcgBlyT0NCVovjdYeZ2YOo8eJpOvLEDOkVjzMSG6kUwAIeyNZg3RWUuuRMxcKfyoEoIVIQlCHHdgtQmB1d1TOAHoxsCR+JCmZbWd9s13oXSKjgGV6MEA4U6vJxdxF+0TuLuiVZXOarQCHBxyzS+Nbje53pWiYBQkm2xYVxUczMez1+Hed7nfsdiFjbHfoPLav8Fv898BhBKwmSO4vbfuTDj5h+ResnJ9uTP8cf8Z90RuDvS1bxL9xgBYEHyjVEUkcKIuR2bEo9gf/71PiNmsnKVFL0ytuuHMG91wSI1iInpASp5KDQKzTk9JQSMAJSLe+Fke+QEGgcYrcKE9Sp06i9iuLglUK4gGYLarS/+NCatM1BAkyuXTJY0UprXFjLJpaP3FN6FNya/iv7COT6jrqZ1L0eeSv/7XfBxDbi07iakWSfuy/03cGju92oxhEtrb8CjuWsxXOhDXKcwGUdc11xC4pWJ49G5Jny65yD+ONMEk8PX58UzeGnLDEYLSRzI1SOue8/jnZYoxc/IGRgFLMZx/+wafLTzAJ6drwPXqWvoKXdICiGKbuCBeUrU5YPCIyCIgBjt18UsnFG7CI1wHF6sxrQRA6EEzGTgusgdYuspqtkDq4F54I09BKkkxVxWA2cWKNXAIFUjZBbUJG+qDt3aGcOZ7Rpu22v/BuroTXegw07i0kLGwY+BDCw3IdufE06JaQLRuTzzYxrBL/Zz7OzR0Fqr+zop4J3rClty+Ib1MTw0yEqufSfghuqlUbmmU1TFgA93D+MDXSNoSlhoTZj4SM8RvG/tKOKx0tyemBYQQYWe30H9D7stR4n5i+NkBfDqVAYHFmthIOZ3ySuxA/K+MFfsg7OteFVtFh0Jw72eOle5qSaL/sVqGLzUZqoRlolArZ7DG2tuxoP5v0WGrHNHnfacs44D1lUYsbbjgppbfG7myrwAwcfIW5s+gDRvh0UbXPe/TATEPhGgFxNz8+6SOoL9xpU4I/FA6DWDZNKVNgGAMxK7sd+41N4npnuIbWzFqwjY00hpzl4QUXG8EOGQcRk2V/1hSVlUuVRvxVlV9+Il460eucR15RiB0v0rtSMlALQ6zFjr0Rl7OdRTsxSWInSvrb4dk9YZeLF4NSjVXVkoIVgkPdid+yJel/we6rSMz6OgnkujBJxoeDFTh7Pq0h5vjNzfW+JFnJtawH3T7YEeAZkIyJ6w0vOmScdQWETHnkwKr2lYCIwdUFEueFD2GIqpAVcPUuDda8fxid4jaK8y0RBnuGbtKD7WcwQ1Omxd5g5miBtIKAYZuwcYLlrn1ZGV6FA3RqBax0XrY/jpXuYhAq5H1dGlJw3HlGOAwcdoTyOcFDJQKBSwbds2EELw7LPPLvv7pWV9qkuM4JcvWrjqrJino9IAwy+gJi7a2Ezx8hR3XfOyMnZjByiwq28IL2ZS+OHYBjyebsNj6Xb8+/AGDORr8MneI64XQV0aKMcP2Nf3KiMV4oGXg4subJrDo3Ot/hGUFMEvL8ESSssNIPQpX4pfjK3BW9vHAzPLaYTgNQ1zeHSuyTm+dEzQioC4TrGj+ud4vvBuFEljybAR7/r5fvMiVNN5NOtHjtqQlDt+Y+JRHC5eZLevc21xPz1z9JqYuxdEoRTdz0gVDF6HGjq3THkkY0wIGvVhLPA+V5bSNIETH0CpI4cjA0UAWSjJn0UHaui071rLQZxkwaDBQK0bzCgTAs0lSHATVckyif8PmxdhY+IRVxY1cC9MxkoIXYM2gWZ9EAeLV0CjxNOXhIxcS+Fp40N4bfVtbpCqvfmXGgo8sdCM1zbOhbbNW9om8MuxTnAEe8HkZ0p95tRVPaI9nlhowQVNswDKpwgO0g1ivzw9oK5OIBT4eN8wpswq/NvwRjy60I4n0m24dWwDns00YVffADSKkl5SYpcIJeifB3oaaGByprD8AvIU61VbE7hjnwkGsbJBWn0lrW6IsPpxUu7SF77wBaxZs+aov08IPA9FaZ4dmCkQ5E2gtda7brbce4HmGh3TixxQHj71wbmwZR79uRq8nG/0jBjiOsVzmSaMFJLYGTACEOdUUc5D4N8H1OoWFnlcMex+Q6+OkoDgQC0AmCwm0RgzgRCXWmvcwFihlGhDPadHRlho1Q9jnL3aNTJB6+c1SvBi4R3YUnWfe54gQ3I00ChBi96PKWuTZ2StjsTdBC3OfkB8XpJhwjwDLfrhJWUKywQIAJzbUduut8cxsDL50jzy2ITAJaKyTM6rxePQydEVlNEoQbM2gClzg+ttEPfGlYUSXxupngoAmGO9aKAjy0pRXCm2VN2PFwpXuZ6asL40yzejXpuABm9SoTBSMluMo173lpF2v0MI2hIFDOWrfc+N6vUJeuZKqx+8yxwNxBAjHMIWLhVICJTTDer/BNsaMpg3Y3hyocXnzTiYS2FfNoVLW2cVfeZdwUQJwXCao6OOhA6g7Ot5B1qEakhV2X1jYtGrmwURcK93Eh0DJ3tp4Z8TTjgZuPvuu3HPPffga1/72lGfw9OJJYYs8OIEwxmttGxnDkJbLcF4Jvzmi479moY5PDzXFmgQNUrwh5lW7GwMHgEcK2o0C2kr+HcFGXxAdlv7gwtlFBgNrMRmcXvWrVxryqOwZn0Us1afvV8xdnLCF0oIZlgfGuhw4DmXk2M/uKqdv/gQla6vyicMnYoiTyJG8iHXDU9DXGkaYOoYfnWfKp8KDgrOg8lAEDGRywxbjCNGcjCQ9H1XI+orcYlKMJYmSMutoQA4hEXvx6R1hjuNUZLR25cAYNraiFZ90Ecqg65JwBFWkM7iHBYP/01+L1b4NJf6/0wxjsZYsezvrhTqQOP1TbN4YKbdJ4d4/8hcC7bVz4d6IQUmshxtdd68AvLoPwxntMXw4oQILgzyfvgzJ55oHK8MhKcjTigZGB8fx3XXXYdbbrkF1dXVSx5fKBR81aLKQXSytAHUxMkJq71NARR5+BK4AtMCjWoYGPNXUQOCg1c0grKKaimEKWDGGKqohYITvq7KdCBbgy11C+451LKzctlau7qe7UWwypQAZQGfyQYrSO5Kq+BZjIOAQ/V0qNeU5WOMu5+L/RbjqKWTyLJSCVLLyasfVEI5sFogLwUBBv3mIKhyBMmskzwsxD33oxK5xPssa0ItnYL4KKxipsV52fuoymW68gQHgQbVTwg8n3MPeYUVBYo8CZ0UFBmCr7khmUZ/LunKrPZ3jXBoqLyuQxjU7zMQTwZJLl2XSeV2g2RSoZbXTVCGrOWNAZeJCKHU8zSEEQLOxJ9SKWPmvHLlVUa1zpEx/PKeTOMf4fjhhJEBkXhh165d2LFjR0Xfuf766z2Vorq7u8PPLz1EzdUEs7kg42r53jNmue/HFky015LQGueiNjYlHKxMzfYYYU4E7tKlUuXPxXv5t3BnCaL4bMGwM6gtZTDVkrWycpY/F9v5DTN4fqE+UCbGOO6fasJlLRO+JBxBkeuzVisatOGSkXFehVFhrGRc6sgQ5q22gLZkgXIG/b6w4+atdtSSI2DKNe33JYPLuP2/e23JEDMOtOkvYby4PtC4hBUGUo3ygtWGWjIEi9nnZBywuLgGB2PSe7ed4MrOpLZjnCOJCSxaKbtNfffZ3y9VuSzGMWl2o4UegsWZ1BYludQ2kmUR7WlxjiQmschSgYZ9qXu41HEzZjea6CGXVIX1JYtxpOggZq2OUMIozkvAcUXrOO6bbHb7g4Do74/PpvD6xqmy/U2VPei92kcadAOzBdtgh+mZMJlUvSA+E6SgyAjiMH2yld4zd6VCGNFg3J4iGM9wn8EP+l/oT84szOYYmquJR76g33YywaRn6mi30xXLJgNf+cpX3IxYYduTTz6JG264AQsLC0tWe5LxpS99yVMpamhoCIAwliWjWXpY7H3ntBO8OGa4nVTusOomYHdmjqakPfoW53KvJ7H2/ZkanFUzH6jADJPh9Q2TeGIu5X6Pud/3sn93v7R5lACXjnPPBRQ5QRxFGCZzlbthWrAYR8H0GlH1f9UgWIwjpRWws2EW9042e5SOrHwyRQ27p5vwtrbR0N9tmAwFkyFdrAHhJhKYQtFisDiHadm/w7SEMeQoWhxnJ36JvfnLAs+pyqxu/uOYe6xhMuzPvw6b4r/3GOCixVFkzCUEReeVMXt/0ZHPlpOjTXsO02YP8pZWtk3DZDacY5/LXYGt8V86xpajaDEULea2gy2TI59VIgeWezxH0fkdFuPYEv8l9uSvXLZM8v03GcVI8Ux06U/AYtxpC0c2JmTkbhsVLe7KVBTPHefYEPs9Xi5cqPQF67jcwxfyb8LZiV+58oT1pRgWkCDzWLCafDKo1/mL5jE8NdeABTMW2t93TzXinPp5tMRyoc+TYVrKM+iVXSW03DJBwWFYpKSzKtQLAFxZfXrB2R6dacBFTZOe51F+vzGZRv9iUtFnXv0GxrGmjmB03nT1ojxgUnWn+BwA9o8b2NpGXRmZdF7GOZjJYZmlNj4ZEKTxWLbTFcsmA5/+9Kexb9++stvWrVtx//3347HHHkMikYCu69i4cSMAYMeOHfjwhz8ceO5EIuGrFgXYQSGWxezNZGAWczvcpkZgOsuRyfuJAFBKT2m/9x/z9JEidnQ6o0WTSdcp/X/3aDPe1DKBZi3rPmhiO6tmDhuqM3hoIlV6eJ3vyw8u8zyQ0sa9DzlzlAV35GGM4+GpBlzYOOV50IXyEwZZbOpnhkeZMSRQxLVdA/ju0FoYZoA8jNtrkxnHI9MNqNJMbKub8ZyrpCBL5340+x68LvktWMxwjItjYBhD3rRQtDjW679D1qrHqNHryi3LGkZe5P0Fn9IrfXcgfwZSZAgJjDmGXhg5XvpfbKxk+MT/3MpiW+JneCz71+75VWNg53Cw3K30P/PIPlHsAeMULfR5hwRAkYUj77aT1F5CZqfPFBlDA9mPGBYxVNjoaSevQfXLpRo1w2R4PPM2nJ24E4SnUbQYTE8bKO0ky+R8rrNptGov4VD+7ABjufQ9lPtp0D2cKHRg2lyLM+N3ee6N3JdMy8T5VTfiT4vvDrhHzPO6pWYObfECfj/ZAMvp10H9nTHgOwNdeP+aISSJEdh2MiHwP3Ol503sOz81iUdnG1ydEGTQy+kFoRuYyTx6gTFbH/5pqhadiRzOqZnx/f4mPYc3t4ziztEWW495dBtz2gLY1kGwZ8wsM5CSU/V6P8sZFgbnLJzVSpx2LOnMksynd1DeqYRlJx1qaWlBS0vLksf9y7/8C/7xH//R/X9kZARXXHEFfvrTn2Lnzp3LuqZlcVDHMDLRmS2Oep3h0g0avv3HDJhpKB2ZgVuSJ8CyPBULGQCYBh7rBz51YS32TFgoMA2ljIJO0KJJsEg0fPNgFz62bhRzxRgOZmsQpwxb69KYMXT866EumGZJNvHAW44CEK+Af56Wwg5745yAMHt5Iif2SJEQ+5xPTtfiTa2DeHIhj7yTGU0grtvGQCy1E0ZAVUyGyRBHER/tOowfH+nA+GLMVUaAlB1RRBk75791cA0+s2EAC8UYBox6GKZNrEoR1fb/R9CF57XLcFn19Xg091Gkza5SNDzS2JH4KTi38PuFa0OJgKzU7d8izelSJcudk1RJVtgAxQPpa/EX9Tfhgdzfo4CEPbLWiJ3ARwpIs3jJ4BYsBtMq4qLk/8ajmWuQKSY9RkaMOFWZxP+2TAyG6Z2zfSD9Ibyj4X/ioVwH8mYbqqAhD1tOizPEOLGz+xHiThnIBKVgMehsBjuSP8Sv5/82wDixJeQSSXjs5W92G8XxUOaDuKjmn3H/4hdRZFXu3WacOVkIvdMmgghYVgEXVn0TD2Y+BMPky76H4j66kLJjyp89vPDXuCT1Y5xf9S08U3gfilbKlamajGJn8jt4KX8xBnLrA4mxkKUrkcFFTVP4xqEed0Rcrr/PFHT8cHANPt7dj38fWgfD9BfYEX1OtKuYilOftwQv4OzaefyP/b22cXT0ADOVkb703gPG7Tl+6iQrM0uJn+QkUN86tBbv7pnAzsZZ7FmoR55RrK9eRGuigJsOdyFrEDDLAnOuLXsFYoTh/G4NN/4xD84sWKbh0Z8APDrU079MA5oex917M/gvb6jHaNrCrOGVjzm/4WSSAcuZ9jqW75+uOGEZCHt6ejz/19bWAgA2bNiArq6uZZ3LLFqgsCQjy5GKMbz3bA23PplFrmATAWYaLgkICya0SQED1e0ua1kW7nihgKvPSuCW5xgsZ/URMwkYIWCUwQQwwyn+1/5udFUX0FebR7pI8L3+Dswbesnou6yYuwxcftjV+T9CnaApaqclBQWsgIeeUIIfDHTiI30D+NbQBgDe+UnZKKvuTaGkqpHHh7r7cduRDhzOJF3ZbHmkuUzY8lgWB2EEnBLcdLgbf7NhEHeOU4wW7ftYil42AdhV7/ZlzsVUcS3Or/kFarUZFHgdYiQHximey12JQ7mzA4mAcL0KJS7/PgHxv7iuFRKkNFlow5+yb8OF1V/D7tznAT0JixMwJaLadnnD9Qi8seob2Ju7GP35VylGxT8SlyGTFGF8S0jgnoVduKL+G9id+zzyZotLCDRmy+T5jQ5BMR3vgcZmcWHV13F/+jqki9U+uYQRrUQusQ8ABhbXIY4rcUnNV/Fg7nPIszrEuJ38yNKC28iyDFyY/Aaey12GsUIXCu69CyYCQTIJWdV7WGozExbTYDKK+2bfh3XJfXhdzY3QSREGr0aCZJBj9Xgw80FMFDqxaNjXzhkmcoblIb4tWhZvbxvGNw72omgR97ly3eMORLY6QcYHM3HcOtiJ63oP44dHepA2kz75RWZP+Znz9GujiA919ePWoU6YzmjZ9gw4c9rSwEbWC4CtG8QyQlc3UAKABhICAxQ/OtyGhiqGV9VmUaUzPDCRwmA2YcegWJbjCbB1klm03MHUu8+iuGtvHoYhkwArVIeKrIRuW5gGgDh++Kc0PryzDj/bwzBTYK58lBJwTmAVT0xgdxCO1dV/Ok8TnBLpiE3DAuUlt9MZjRyXrKe45cksphYKLqNlxaJnbku8ig4sv2cACLWPGZwG9o9TXLZOx30DHADzRMRS3WHUOsdAOobBjD1isBWLJXkseMlFpjzsbgCQ3Nkse0mZyBUush2qhICYBMMZHb8Zbca1aw/j+8PrANgVx9T10Op8pmEy9MQX8Lb2UXx3YC1GszEwxnwjEk8uc4fR24qSImcQfPNgN/5m4yDuGF+L0WKtYvRsBmUxjjHWirsKu6BRIKnlkbfi4NAcY1EyIKr3IsilrEJcUyjkgttOXhzE2eCc4rLa/47Hch9DBn1gGnHbW9yDosXRTPdhe/WteDRzjY8IBM2DizYGbO+ISlLskW5J+U2iDfcsfBKX1/8vPJb/KDLmRmjMTqZTJPARFOEVqMUAzk/ejAfSH8NIrtNtO9lTsZRcqjdFvmcHFl+NPKvDpXXX4+nCNZgyz7HX8LPSkkLmBOpV4wjOT96Mp3NvxYHFbR4jHETmlrqHMiFQ5fLcx+xmHM6dCZ0yVGkGclYVAOJczytDwWTIOXK1aFlc3TGEGw712CPjMv0dUPo8J+hPx3HzK2vxifWD+M14Ow7lU+7v0SjxtLN4706jmSbe39mP3080on8hZusARTdYvikDv14AxHJTLsbZ4NKqIs6Iq5cIJZjlFI/lat0aB5wxj15ySYDJYBYZ3tgNHJljeGWq6PEKVKRDmShjbEs2nbbw/ceAD722Dg8PcOydtEC5KKoEWMbJIwMRjh6Eq+tVVhEWFhaQSqWw/uO3guhJ9KSAi/oo5nIMd+7JIF9wOrBZdJlsULCggCdLoR53K3CJMpzvOrcWR9IEz0wQaBqBHtfczIeiRriaP7w0r+efFhDzckwdjTClIAmV0o06hMCtSKZR6PFSStFzmxfx5s5p3DrcgyyvCi1UZJgMhFu4snkUjTED3+/vRMYgPk9F2O13izbRUjKRugTHZzYO4dcTnThi1CEZL2VATLqVEzWPohfyeOfdvSOpICIQ5l5W13erKWOTcd2VqSk+i0tSPwJHDAeKl2DKOgMWEoiTDNq1vdgY+wMWWT0eTl+DhWKNjwQEzYEHQc7v4E1KVWqf+lgWVzbejBlrPfYa7wClicD7Bl7Eq2J3oV17EfcsfBJzRn1obMVy5JITZYlpg4ROURvL4Y31P0NKm8aB4sUYt7aiwOugwUCLdhAbYn9AjGSxe+H9mDZaJKNr+cicKpv7m5a4j+o9VFP/BvUl9fqCCHToGbyj/Qi++UoP5vM0cAQe1OflJGEi739S5/hg3xgKXMNd452AFgvMLSBkqkIB7+8cwP2TjfjTZC2YOxL3E4FyukHI4cpTRjeI6Uw1y5+ql2wSYIGZHFuaGTY3E/zoqSyYacAyjUAdasvj1aNqOmIai7s6NK5reOvZdWirj2H3YQsDcwAoATMW8cq/fwDz8/NuHNjxhrAV/9Z0BqqXmW9GxiKzcN3MyydU1tWKU4IM/L//8mNUJ5M4Mmfi4UN5TGWK0vwWAyuqbq5wJqrm2ZY7s67H8eGddXh+HHhxxiYEnjzgzsMnoxQ56/cGWFYpIIgA6KwF2usIEhqwWASGFzimc0KuUupRqnsLkaiEYG11ER9aN4b9mTr8cb4VBVYq5GIxey5we900djbO4nfjzXhius4/GuHyKEltI/tVLr8slFBNnOPTG4/gD9OtOJBv8JRSlg0OUEoZLLvaVZeybEAYY1iXzGBb3Rw6EgV7uSZs/4jBKPam6/BMugEFHvMZk7CaDQmdoi0xhs3JR9GqH4YOEwVehbHiGdifvwCzRsozD68SgbDlezLUUa5c3U7OZZ/QCc6qeRzbqu/BmLkFR8zzkOZrwUFQT0fRpT+FDu0F7M2/CXuyF/rm5U+cXBR1+gI2Jx/D2vh+JEgOFnRMmr3Ynzsfk8Wu0OkdNRjQYhwxmNiemsOZtQuooqUachTAhBHHM/MpHFisA1VKDwdVBxRz8wLlYmL6EvO4rHkM3zzYjWyReg2vJ0I/SC94+7ycwve85ize0jmFp+Ya8Ph8E0xnWsxtZ27idQ1T2Fo3j1sGOjGYiYcSgVIQo3dFQVMVR1eKojoGGBYwnuEYzdgrYtT6BEK2EhkgvmyGsl5yA69Njo0NDDvXUnz38QzMopcIMClmwD5HsB4NqldANA1Ut9PCt9RV4fUbqtDbqIOB4KEDC7j7qx86KWTg242bkDwGMpBjFj45eyAiA6sN4gavveZbILrtmldjA5jpJQJqsgyBoMxaVI9LpCAGqscRi8VxrUMIXpguEQLx8NnfVR46x7jKD7pQRG3VwBv6NDRXA0fmGUbmLeRNjpqEhu4Gio5agn2THI8MMpgoTwhEXXI9roESYGdrBhe2zIHAznQGAE0xA4QAf5pJ4Y+TdShaxCubu3rB6yplnHsyznnqK1BvydSqGPCJ9cPYl6nDU5k2z2hOTYcsII9kVeMBbuH81DS2p2bxcqYGj8+kcCSfgJzpLkktbGtI44KmOUwZcfznZAeyLO4hA+roMqg+gyqTGiQou72DPBXlRrriVc5PL8tSkg/oTryMvsQe1GvjIOBYsNoxUDgLA4UzYTESSAJOhFzCS1BpG5UjAXFu4IrWMXQmCnh0tgHPzNVi0ZMUh6MzUcDOpgWcWZfB0/Mp/HG2BZxoPkIg9yUhv/xbvStnGF5dM41z62fxrVe6sGjguPZ5Qu2aDRe0LGBn8zwogOliHBxAc6wIQuyVN49O1sG0SjECYURADBI0cOzsItjaTjGZ5RicY8jkLSR0gs56DT0NFDM5jof7GcayJVKgaSWvnZBRlh8o6SU54PrMJo7XrKX43uMZGEaJCAQNpirRo2EDK7XgETNyGL5t10khAzc2bkKSHAMZ4Bb+S0QGVh/EDW7/638GjSV9wS2clciAZ21sSASsWE2gluAUpEAmBO/bUYfhNPDIETgMvMTIZQTN/XHG0VrFccUmioIFPHDAwMh8cEpSSjW8eo2GN66P46EBhj3jXGL98HkmBCGQRy5xjaOpyv7NM3kNJqd+gqIoRDFHGbQG2C2cIuUzV0dMukZwTe8ENEJw5+RaxAIqJcpQDZhhMjDGcF79DN7QOI2HZxrx8FSDGyOlyiW7TTfUZPFXayawd6EeD861eUaYsodAdouHT12Eey3Cpi3kOAEBdfpCNWjqaDzM8HpjPkrG7ljlEu9lw19JGwEIJCSyIWaM4fUNUzi3fg6/GmvDvnSNFCwb3L8oOF7XMo+LWmbxyGwjHp9rRkyaFpD7kgrZm1Q0LVzRPIIkLeKH/Z0omiXvXMlLt3Sfd+WSpguE+12dLotpQHPCBCEcM3kdRe6djggjAvJKglc1AW9aT/HIgIWnjxhgPHgk3lGv4+INcdQmKH530MJYBh79EJSeXfxGMU3AOMeODmBTE3DLE1kUi8FEQKzIsr9vLVuPurrUmX4Vx7BiDuM//z8jMrDKcUqQgZa3/g/QWJXHfSU2O6K11HmXmiIA4HTW8oRA0+N469Za1FVpuOMlC5yWAmJUyCSgNsZxxUYNcY3jNy8WMJUxK5Ippmu4cnMCqSqKX7xowUQ4IZDrmmt6GW9FCAkIUtRiGVBJLnXO0ntNoZDe0DaP85vmcetwD3JIVEwG+qrSeGvbGPaka3HPeLPtwWDBWdJkCMVHKXBJ6yx2NMzjR8PdmLOqlPlm6ittG2ToVNd7WAyDOJaAo4raGScLzC5GFBbPIBv+pQyvt428I+6wOXmvV4AjQRkoOPJM81TfW4qohLWRLJMsi+wRqCF5vG/NEF5YqMU9E81g0ui73L0UfU3XgEvbZnBewwJ+M9GOw/lUWXnke5YkBt7XOYhn5mrxwGSTOyIPIwLCJS8jqN/LZFh46OQYGnGcgPy8yauJxP8yESCM4R2bNRgWw6/3Ftxg06V0RGOS4C+3JEEIwd0vW1gw/OWNZQidRDjHWzbZXpVfPb8Iy/QTAXVAJUjA0epStdwxK+Yx9eu/Oylk4IaGjcdMBj4zd/C0JAOnxGoCZhoAoT4yIHfeoAhYgaDVBNyywDUNmph+MA1QPQ4mDeB//UIG53Qlcd32OO7cZ2F00Y5IVxUBAFRRjos2UKytp7h7XwEDM/6oXCbJRBWZiiZw1wuL2Nwex0e3x/GT5y2kiwwa5NUF9vWoTgFQEGobezWoEUAoCVAVtcwFLUs6l6QkGQUoAywTINQb4PTQRAqvZKpwbW8/Hp9rxJMLLbCoiBkoxTGI17bYIt7SOYa0qeFfX+lGuqg5yjR4qWPpHooaCrZsnBL8frwRe+Zr8NHeQeyeacWeTKPvumHTFuJzdf5dNbiMMWyuTePc+jm0xA1YnGDRoqAAkhoDATCYS+LJhUYM55OBhsyidtR5wl2jzpaUKcgbIMsGAK2xHF6TmkFv0g48yTEKxoEkZdApx4wRx1PzKbyUrYdF/YbfYtzjpViqjdRpgU1Vc7i8dRzfH1iDkVzCQ+aWupeir5kg+N1oEx6easA7107g0pYp/GaiA6NGjW+qoyQPw/b6Gby+cRo/GupEfzoBxpjrErc9YnxZ/R5wggidfk8oAaMATIBTu99TTsAshAYRi2fN8shRIgJJwvC+8zQ8dNjEC6PFwBinMB0xk9Xwo6cWsTZF8ddnJTGR5bj/FYacaS//JUr9Es442quBt5+p4ZHDBTw1mHMHT0sRgaPVpUGkAHD090mCxd3FGEf9/dMVp4RnoPGy/wdE8gyoHbdc5wX8pYw9EbEOIZA9BHJQoabHUZ/UcdXWJHSN4NFBhoF5O7CHEqCrDti+lqKlmuAPhwxPWmQha5BMslxyHAOhGtrrdVyzrQq37bEwW/B7CCgloDr1uPFVBJGAShS1LYcz+iHekZBn+sL1UNiBhTGd4PKOaZybSuOx2SbsyaTcIioJauHM2jR2Nswga2q4c7QV4/m4J95iOaNJTwlWShCLAR/oHsWipePuqTWglPqmLIRrXECuNKhOX4g4hgsbZ3BeahYvpmvxp7kGjOb8SWgIODbU5vD6plm0xou4d6oN+7N1ge5u1fCW856oS0TlbV1VGpe3jmOuGMMfZxrxcjoZWNynrcrAzoZ5nF2fxtPzKTzszM+HeQrKtZHhISUWLm8eQ3OsgB8MroEheXWO9l4KA9xSVcTbOyeR0k08NtuIfdl65Jn9fCSphXPq53FBwwxeSNfit6NNMC3iCxQMIgJyTv+wfi/kAeCRSQ3QCxqFy9fzeCgcIlCrMbz/1Tp+vsfA8GzBo6tkAlBJrBOhGs5oi+NNG+OYy3M8NcIwKOmk7nrggh4NlHD86oUCZjMFDxEQsVZhRKBSfaquLBBeAiGvSxaKecze948nxTPwjdSxewY+N396egZOCTJQf8kXQXS7Kp7qxjpmMqAQgtJ0QYkQUGd/a52OHV06ehp12CuAgSNzFp4dMTE8V/Q94LzMQy7LFRSU01Sj44Pbq3DrcxbSReKLW1AjiVUEjYiORlEDfsUYRggoJajSOXY2zeOcVAZJzQIHgcEIXsrU4vGZFOYNLVA5B63/DoLqqpVlu7R9FlvqMvjhkV5A08u6wGVvhbptrp7HFa3j+ONMIx6aagADqUiuWs3EVZ2TaIoXcftoFzJOgGMQMSiVmfbKFBQgKAxxNTFwdecwMqaGO8fbMG/4C+AEyUXA8brmeVzcPIN7J1vxfKbBJ5OQZampFMItvLdzAIcXk/jdeDM4gy+B1XLuJVCa+pHvZV3Mwmsb57GlPosEZSDO9McLC7V4bCaFnEk9Sb2CiIBY4QPgmAmnOn0gQyUdKhFIUoYPbdPx0+cMjM8XfIOFSqL3xatKCjpTOrat8eqk4XmGJ4YMjC+YLgmQl2C7JEDO2lpmWeHR6FP5OG4WsPDA/zwpZODr9cdOBv6vhYgMrDqIG1x30f8NkNKMhtphgzqteK92XPEatF5WGGOqx91AGLFcRjbUKoJYvur+U6v/2dcuBdmIV/k67fU63r0tie8+ZaLI/YRAVp7290tGaykSUMnoKMzoBhECNfpaPk85mcqt/1bncwH/enBVtrNSWbytYxLfGepFjseXRQbiKOLdncNImxp+PtKOAqM+2ZdqM0IJuqvz+EDXCO6dbMW+xcbQUTgQ5AIP3l5VPY8rW8fxk+FOHM4mK5bLvX+UIEYY3rFmAm3xIm4b7UKe+9fNl2ujBIr48Np+3DfVjGfn6lxjG5TQpxK1ot5LV9aAfi3/1sAVPCFE4HgSTlkW+VmTz68SAcoYPrpdxx0vlDwCx1NPyPtl+KZSWSmhkCAD7vLskBwtKgmQpwZKsvl1qUdWTQM3C0jv/tpJIQNfrdtwzGTgC+lDpyUZODViBooGiC7P0y9NBuRjwyB3bM4siESa4oGhiNv7nNTF4jP1gQhj+fKDrUbmEk3zfE6o5pEBAMYXgN+9VMBfbYnjtj0WGOWgzK6AJtIXM1Y6Xg0IBBCoqO3X0GYBnJXhch5E37UIB0BgwY5rkLOkEWYrz3LyiH2y4VBHbJwBpVXqjixCAFa6J7Jse+drsFDU8cmefvxguAezZpX7XUs5v2zsehIZ/FXHCG4f7cDL6WpHxpC88QGQPceDmQT+6UAfPtg9iu5kDndPdkAs4ZOvLebtVZm8G8ObmiawJpHD1w+tQ8FxyVcyypVl44zDoAS3D3dgQ00Ou3oO487xThxYrPXFEQTJU68VcG3XAG5zyEgQEZBJXUVySffSYt603CI2pFw/qoQIqH0NWKrvAwD3ySNiHMKeNbUdhLfg7Zs1PPhKESPz3mJA9jm8BdXcq0u6QtUT7jUBgFmup8D3C5YgAu62BBEIIgSubI7OKtuSzAI/iTEDEY4epwQZ4MwClFF/WKct52oThrxsBw44jjtay2McJZR7uMOW54j98sMeRAgOTFnY3M5wVhvBi1McjAJEMYSewD9x/iUUYbm63ZSJc5VIgWp0bWICAASccp9xVmVSR2hBhiNISav7BDmgTnr2INmGFhP41uEufHLdIG4b6cJ4sdo1vjKEoXtj0xQ216Txvw/3IVOkPmNbyShX6Gtx34og+N7gGrylYwrv7jyCn412QRQyKhesJ8tlMYar2kZgWAT/NtjlRuoHxX8sR7ZD2SS+frAXH+kdRncyi/un2wDQ0DZq0XP4wNohfGewC2P5eCgRUEndUkbXcy/tHSXS7dTIUO1g0DVVAywfJ+Sx2026dki72enB7bgAzrjnWVzqWZOvwxnHpiY77kIEC3q+4xrfyvSEAKHUcy6PfBLUom3imuJV1VlhAyz5e145vHq0nF5dijAcT7BjDCCsgMP+2WLZJYxXEuXYq9qBg74rv4Z9Ty3haR/HPP8z52FiAQ+Ve7wVHNvgO7flvUaQ3HfvK+CidRoI9yob1ah6thAiwLh3vbW8uW3Avcp8KeVbboQoyxNGBOzfg0CZVPlcMhNijMT76WIc/9rfi/esOYLuRCbQ9c4ZwzWdQ6jXDfxrf4+HCDDpdy0ll7i2l9jYv+s3Y60YL8RxVdto2WmAoO3y5jHkTIpfjrX7iIBc9345sol9OZPipsPdoOD44NpBgPvrHViMozO+iPevHcJN/T0Yc4I+3Xsb0Pby/VxSLue4cl6soH4dtGw2KFBW7v8yCS7X/8Xn8m9gbOlnzVdngHFcul7Dr/d5Vw0EGukl9ISsK+RywuI7qj4Kqt4aaPADCEg5UlDJcUsNyk40RKGiY9lOV5wSZCCoU4a7sZhvC/pOIFO3rOBjrSW+F+ARCDs+8DdYftIhP9AmA54dMXF2m7O8zlVWXgVvn6M8EVCP8coTrBSDZVfOHWScVUUbQgTCri1v8jFLEQJx7Lyh4YbDfbiqfRQbq72EQIeJT/QcxoFsDX4x2gErZNStyh+0ievJv0uW93fjLajSLGyrnwNQPjZAbGdUz6M5ZuDO8VZPewYRlDC5wmQr3XuC30604Zn5euzqOYwk9RKCrkQWV3cM45uHezFj6L72Udtc9AX5mkH3Uk3+E0YIgvpR0FSSh8gG9kO4sqh9LaxPy4RY7b9Bz5p6njPbCF6aZChIFfuYoisAhK7pD9V3ITqq3HfVY8O8AmHegOXq1OUM0iKsHpwSZEBGUIcNMsTe7/g7byXnL3eOYGIQ7PIry/YDHvIgmZ46YuGczlJAW/Bx/rlVe3/wMeGjb64c5/cOuNcJYdKq0vbIo8wpq4Yj8Hw+UiD9Js59v138hkyR4puHe3Fl6zjWJ9MAgBrNxK6ew7h3shWPzjb4lLx6TtWwBpEcj+EKmDO/bbgTlzZPgvLSfZZzBnheGcNfto7j1uHOQI+Ap81C7qfa7kGEQJzz6fkUfj3ejl29r6BetxNtrEtm8c72Edw40IuMlFJYnYv3tnlJjnL3EkBZQhD2+zy/M6APlXs2/NcL7vuea3P/vqD/fV4BAK/uoHhyqOgcG6wrgohAuZG5aqDlfWF6RX3v7gublgjRaf7jlgy8WBFY/Ni30xWnRMzA8QBnzI3KLe3zznn5v+MPFqz8eku7y8T55evIDxkDoDn7swULiWXeLY/C4uHKTN0vJ1VS87e7+1lpfln9TtCxQdcMmsMtp9AJJa489nEEDFJyJGYHVhLNK0ueabhpoBf/R+8Anpwv4HWNs7hteC2G8klACVBUYwSWikAX++357ZIstrEqsW2TUjw224hzU3N4aqHZMz+vBu1trV/AMwv1MJjmk0++ZjnZguQKu0+McRzIVuNHR7pwXXc/HpppwgWNs7ixvw8Zi7rnCzKIQUa5nBEVUO+lJ5EXD06kFRaU6LlemNtekqWSeynLJGIIhAzqCpcg1MSBufyShynXDzfQnmBny3KX750ILDW4Kh3n16krDTvp0NFb9NOZDKyuO1kBgpYKHg0qcV15r0U9+8OWGR4LynkHAGC501lhBjpoVBf0eTnDXMnnlWA55wgasVUKg2m4bXgtPt4zhIdmmjCUT5adH/RMF6geA2lTZVPfCzDGsS9Tg77kos/4q+hLZrE/U+v7/lIkpZxcYYZU/v5ooQr3TLbiE72D+NnIGuScZD9B313KXa+eO+y66r2sZBXC0SCsTy/3epUQAftCFR52jHPsvjX+AcsNj7eeWs2IPANHj1OCDAQZ35PZweUkGkHrbEufUd/+pVCpEiDUrlQoG3j1vfx/pUpLnv8tpxiDlH05bwANkKXc8fY1yru8jwUpvYgP9wzh/zt4Bt7QNIvuqhy0gNFnWfkCyENQboQwCIdF0EoCL4gnn2AY0ZBd/6ocYUTFdyVpTX1HIo/LWyfx3w+cgfd3DaMpZkBT1vwvhSAPz3Lupdpvg/qR7zvLvI8CbAmiJBCU4dOThMjNv1GSJcizcbygegXCdNJS+45ZjhB9F0ZQIqxunFJkQH3v/6zynxNGLII6slqWU918D6N2fEiLvIa4oQrIOMt15cIkqqJWSYF7ruUavjJTDCrkTIW+hC1KAqOjwVKj7nJyUUqQ0i18sncAtw5345XFGnx7sA/vXTuM9nihchnKeREqmOKglGBTTRb9uWoAwcWDBPoXq7GpJuv5HTIqHc0uJ59YW7yID3Ufwb8N9eFwrgbfH+rBx3sHkdJLxTqOhmwux1vgXmeJfqQmAjoaLE0AiO9/NROhfJxa7Gh6kaOt7vgaQdVTKeu+IJ3k6q6AwczxmmYI0sVB28lCtJrg6HFKkQEq1RAI8xQslxB4zhHy0MhEIOj66sOnyrSUDEvtJ1TDeV0xPD/GSoZXycDn2zzKSz338pSoIB9BxkCQDKoqa+qVJThj4PJlWQpq1roajeGTfQO4bbQLU0W7kFCex/D94T58uGcITTEzUMkff5k4XtMwhz3pBl/GP3V7abEe56bmIeXZOibDtxRSuoWP9Q7i+0M9yDoplGetKvx4pAef6B1AnW557q/3d51YqETT1++p/7jjBbnfezIiBjxrpc3+7p4JjvPWeDMHHi1UHRU0OFH1ko8QSIMcOaVxueuV06Vh06YrTQY47Firo91OXypwipABGnNqZGvlO1u5Tqym9PR+FmbYSw9SYN1u+TWEjYddMwjygy5/V9M0bGmjeGm6pKBUw6rpdoljKhRXACGQi624bRui0MspejmNrDi3RymSklyUkkCCstxrVgKVkMQocF3vIH472YlJs8ZjcNMsgZ+M9OC63kFUa8xzDnVkWimC2lbs255K49BiDSxSqpkQVExJowScaNibSeG1DXNe43uUcoXJSihBQuO4rncAt492Yc6q8sgxbSbxy/EufKJ3EAnKPfdXlmm515UhF9sK7LfETn1NqZMCW/ncffUUElpaprDphyBSGCiL9LwJuUSacEoIXpkDNrVQ6Mpgwt8e5XWDx1MZQAR8JEDSS3IBtiDd6Z43QIeWl6mkS8M2obNpzC78FmH149QgA5SWCgnFRFXBpQmBvMkI/F7Aw0JjMU+hInkL8lQEEQL1oVPlkF+9v7l0ru1rNewZZ+AOEZCLFWk6BdWlokV6qVZAmAEOii8Q21LweCYUYiIXLNIkmYTS9MijeAfUaYzlEAYfEaEElAIf6BrBE/NN6M/XucZXbBolmDKT+O1kJz7eMwSNhk+xiGtUAtlwCHkTGsflbZP4/XR72YqB8vbQXBsuap5GtcbKylUJgrwytqzAx3qO4P6ZdowVa9x2kdto2KjBgzOtuLb7CKgySvaSL+f3H+V9VPsH1ajbv+WRt6ZTTz0M4R0ggTKV92Kofd7zTCjnlesllHve7Iqi9vsnRxgu6NOdc5d31YcNUtzvKMfK+qGcXioRAurRm1QiCEEyhOnRSoiAOK8mdOdJXHEQTRMcPU6JpYVEczq6SMgD21sgKnDJkJfrec5RxvAGGnOpPrd40M5dq+M1XXYgH4ddLvSlCYaH+4swis4aX9NA0IIcIU+oa05h/eLYmK7h/F4dNz9lgRLJwGrUU8bYcy3CwSgHYXb+dlAnxauobcC9S6j87eE3+H4jrihuXRkdSTIxZ5mWLA+hBGC2QZKj62WZwgyJG6RFvd4A8UoowaUtM8iyGJ7LNHkq8wmIPPyH83VoyxTwrjXj+NlIByxn6RhjAEf5dnJlDiEKQv6rOibwh+k2WERHnPqrBQp4KxUC90x34J2d4/jRkc7jLhehBFe1T2IgX4OXF1OBsQuijV7ON6Ijkcdb2qfxm/EWcEpAGHFTBnPLL0+5+yj+V0twy/1J7WMCYq5fA4UFmyiJ95QRVzY7Zza3+8hx7POaRj3HA97nzZESnHI8PQZ84jwNfxrUkC84ywNdPUDdpXtCX5UjBOI7qp6Kx+N4XZ+OLe0aOAeI/bPx1LCFp4+YkMsjM9PwGW5uBV+3Ej0a5hFQi7qxpYtBHDfYSwuP7funK04JMqDFkyBazE2qQZhdcQuAXUyowkIYoR1ZiRWgsTioHrOZrR5HQ00c12xLoH+O48cvMBSc3kYJsLUV2HV+AnfvN3FgwgDV46GEAAjObaAG88gP00UbYnh0yF7oTPXSyIi6IyS/q58xgDCniJBOvQYYDiGg3vwASxlg+TOPwiQlhSlcp73JPM5vmkNbvICspeOFhVo8OVcPE8SVx5WLAYRyAATUWRO+lMIOei97BdbV5HBWXQbfG1nvc8ULCAIS1ymezLTir1v7cW59Gk/NOUv6WKlQjTBAhBBfUJ7sAZD3CeOxJlnA2qoCfjez1jPiFmWMg0oYGyaDRgkO5huws2EGfck8XskmjlquoOqOZ6ey6Kwq4EdjfaFtJGQyTIYH5zvwgY5X8KqaRexLJ0EpAefEKYJEPKSOErJk0GnQ9IBMBKhOoVHg3FQa59SnUaebmDLieHy2Aa8sJj0BgJbJQDkBpwDh9nksyyFPCM4fENTfg4iALI8qs4B43uziXSWYBsPufobLNsXwmxft555SzacbhEEupxsEEZBLra9r1vG2LXE8PszwvWeZm1c/rgE711J88oIEfvpcETMZ6VqMgbDSQIdrIr+J3+iXIyjliIDsmQCWP5UUYWVwSpABGtNBtLgnxzZgd2ALho8QeJP4eEfkYR1Z87jaqPvAtaUSeO+2OH7xEsPUoq0M9FhJmbwwCbw0zXD1mRpaaxJ45HAhlBCEsXBbLr9XoLZKw6taKP7tGQZNgzs/KYiAppcMoOdchLvVBGVCIJSjTAjsNvIno6nUK6Dp1PUMVMc5PtR9BAwEj8y1YKyQRK1m4py6WXxh4yv42cgaHMxU+eShnDhFa8IJgTyadPuFLJPzWhUD3rd2FN8d2YCYrvmMr4DpGYUz/GKiG7u6DuBwLomZguaOwoVXRRgVodiCEuN4gswc4vWeNWP4+XgXNFqSI1GOoJgMcKobGibDHRNdeP+afvzToT5YDKHegSC5wua+a2MWruoYx81DG125RDvpyndM5x5YjODnE7346JqD+NqhPuSY3ztgj/CDvQNL3UPZo0R16pSBHsW+TD0emO3AghlDezyPi1qmcDmdxK1DXViAnBCJgDier3LeAZkQLNnfJXkosd3/8nSG+13CwamdZErMvHLOQXWC/TPABd0EqWoN84vweAfc72vBI/RyRGBHdxzb1ur43jMWitwpJ+78DotxPDIM7Jti+OB5Mdz+PMHInK0LuR5z2szy6hvmr8S6HB1KY3GPfCXvKgUrnrzhtsX5MSYdOn1dA6dGzIAehxavgpaockbtcQ/7DAssBOB7L0N8N2h6QNPjqK+O473b4vjJCwzTeVIamesUelxz5usJLBD85AWO7gaK8/sSpQfEc23qBkG619dKD4z7WyVZLj8jhvteYe6IhGpyrEDJPa/pFHpMc99rElmQ51e97lfZ3V4+gEo+Rlaarjw6RV2C4XPrB/DkQjP+Y6IP42YdiKYjiyo8PN+B741swDs7x3FuQ8anbNVlYrJcQfKormVZab+tfRK7Z1uR5zF3JJ7QKarjNjFIOq8JZxPHUE3HHZPduGbNqG9OXG0DwDvakY+VCdO2hgxGCkmkedIjS3yJTRyjUYIsi+PAYi12Nix42iJIPlUuuz95vSaEErxnzRjuHF8Dk+ieawbJJstiIIZ7pztwdeeE5x4GXvco7qHoq2fWZ/G+tWP44cg67J7vRJonQTQdE1YtfjHZi4fn2vCZ9f1oSljuc+HGpSj3rtL+7iMokjyCCGiaTXzFsy+eOT2uuTEOVJem8Zzr3vMKw5tfFXeu548tAvzeQZUIyNt5XXGc2a7hlucZirzkMXTlcl7nihQ/2sPxrnN0NFbLI3YaEvjs159C5uUQATuuKwaqx1xdfbIQJR06epwSZECPVUFzomOpHisF9kkRs2pQIeDvuOq+oGOIE6xI9Tiu2RbHHfsZMiZxH349ptmGVqMeY0w1gjv2c2xpp1jXHAskIfKDLz/sshzifV2VhtYaisPz9ty4HLksEwE50ErI5p3Dl+ILAoycqrTl/fIoCfAuG5QjvCkFPtl7BHdOrsWAkQo0cEUSx/dHN+AvWqewrqYgTXPIBi549OiVSZJFIRENcRN9NYvYu9jkGemWM7zCVa9RglGjBgWuYVPNosfIeYx9OYKgeAUub53CfUrQoPf6WsDml3v3bDsuaZmG4IzlSErYPvGd3uo8dMoxUCgFVQpPhbheMq65pEklMC/nGtCaMNBRZbokwxvZX9k9VKcHRDuvrTHw9o4JfGd4PQok4btfybiGkWI9fjnRg+t6BhHXpWBVUjL64v+g64v28d9L/5STMPCaphBt5ZlTP5PJ+0iaoCYONFbrJQPqMbZevRBEBITR7mlOYHuXhp/tZXbb6cSrBxTdtMgIfr6P45pzE64OVQdQIpjQ2xZlAgQDpgY8RMAhAXo8CU2PQ49V+e5DhNWHU4IMyNGyoZ25Qnbr2QK8AoIx7+iOY3AemMx5XeFU2tz5e61ECP5jH8fbtsQQj/uZty2HvD7XSwTkYy/o1fHHIeZRbNTxRLjz85JMLinRqUfeMAUpj8xUpR2kxF2jqEZZU4Ir2mewN5PCuFlX1vByouHW0T68d+1IKXpfcfOHGRP5vS9vgiPbX7ROOxH71HXHy/P0qtGVjZ0w1vdMd+DKtklfNHoQZGLiyum831CTx2ghiSL0wOkBVQavjN7YAkY0vJKrwZbaykiKhzAp9/zN7ZP4z8lO39JGmaDY7Uc9ssiE4b7pDlzeNikRgGDvgArfSgPJW2FH9tsrQG4Z7gW0WAB5KskwYVbjyYVmvKVjyv2NQd4BbxuFy1WO+KokmFDif+YcPWB7ykpkWfTphwY5LlxfZmWBoheCiICmaXj7WXHcvteuCSDHEIXpJk2nmDEIXpriuKDPJiOaMxUqdJ0sy5KeVPl4RX/KsVZiQKXFkyfZMxCtJjhanBJk4GOvTeDijYlSB3M8BL7Oq/k7skoKZPg7O3U79/m9Oh4a4i7D94wIZAauKCDDIvjTMMMFPcFkRVxnqeRIm1o0vDzlzHcKZSkv2xMjF53g1aksrl4zjjc0zSKpe+c8w96rCtJNHkSU/QFGUXaJ6xrHeal5/Cnd6jF66iaUeI7H8Xw6hZ2N80rbh68cCMueqP6mDdWLOJSr8xk62ciWDIzmG7FrlCDDEiAAqjUR8OU39KFub8no7mhYwFPzjYHLBsW1E45nQryqMstei6cXmnBew1zZtgqb4hGfJTSOWt3CrJRPQPfI5l9aGBTrcMSoxdqqPIK6sEpOxP2jCgn1GF1SmlY5kK3FIqp8cQxyXxLyPZ1pxpa6NKo07umTYb/flVGSqSLiK5FvqlPEdYI3NM/j6jXj2FafRkwjrh6Qn015658Hehu8yX9Ksi2tFwjV8JqeOJ4fY1i0vJ4VQVKCdJMgJY8PA9vXyksNK1vqGDawkj9TY63Evtevi2PX+XGcvebkhaaxY5wiOEGlMU4JnBJk4AfPWuCE4OpzlPwCIQk9KjX+Yp/a4dc2xDCS5mCcSOy+5N4sbcQ7cnc+f2aU46yOChMNBbDvKh1YLHJ7uQK8o3B5RKjpFNesGcPW+jReSKeQ0IG/WdePhMa9MlWgIIHya8TlNhD/U0qwpX4RL2ZS4Khs/bxGCZ5YaMaO1LzHkB8rGvQiZs2Ya7wA+IycfyvtF8cDwCu5GmyozrlyHU00dFcyh6F8tXtO2ejKsgWtLgiSa8yoQnvCCIwTqBS9yRwOL9Z4fmul90w9ftyoQlvc8PQzgbAR+FI4v3EOj823eK5TniRRPJduxKtTaU/flK9fyb3zHK8+E57z2oms/mZ9P6p1hj3pBpxRt4gPdA0HxGZ4CSIlBHN5jvqEfO7yAxV5IAEA2zo1PHFE8hYK8rGUbqIEnACHZzn6GiVvpDR4orTywZP4ruczzSvv27cmkIxTfOdphn1TS96C44bIM3D0OCXIACjBI0McugZ0pnSFSS8/0x/gD9iRz9HXpKN/jkN2h8sJdmT3nzw6FeCEgDlrfpcjk0Bjjb5k+VNCCToSedTFTNwx0YUjRi3+ONuCx+Ya8cbmWZ9MlSjoSsscy+hN5tCfq/YoagHZgOjS+xzTkdAqW3vMOK+oSmFjvIgZo+SOlK8nGzNVvqD9C2YM9brp/i+W7cmVAtXCO74iTgAY/IZIGHo1al8lJH6QJWOklyoGVKebWDBLozSvgfeSEtVjoMo2Y8TRGC8iCGpRq0qrTNZoFhbMmOc6QaRF/qw/V42eZK6i84dBXQavEl+gRCrOb5rFnnQKD8+1YtiowV0TawAA6yTyGIaZRY7G5NGROdtIAyb8MpXTTeI4QgkOzwO9TX5jvyy9KR2rejzF5y21OhqSFLsHnAHNcSD7EU48VvXSQlcJG4sA43hhCFhTxXHEyIEV82CmAVY0wYp5cMsAZwzcNNzlh76KgKLTUg2MmXbiIs7spBicgVAOBkCzNMxnCawCAeGavexGI+AmAZONPuPgHLAsBmZyWEULlslgMY7sIgExc7CMop0oiYfIBImNEw1gJvKLBsxCApYBgJZkIIwCFgWYBlga2mrS2DNJUcxlwai9pOhFA7i0eQZmPgFmMphCJpOV5LQYuJMASOhpobAtSFMFBGBFe/TBHFcpYhTcJIBly2DmM8jmNBQtHaRIQWIl97u9DM67hK9oMRQNhsXFHMx81pWRMQ7myMW5U0JYMiJCLnu0BTBqT99wnYJrFBnNgJXMoJjLQrcoDFMDdApqauC6BtMZveqUwHQqNFqcI2eYKJoMi4blyqbrCxjLxVBc1Jw24m5J47D8B2oEejqbB8+nkS/qIHFbHmpq4AYFj+ng7mi3dB7DtPMMFIoWDNOCYdhbvmjBNBmy2RyMxQyYydz2CiplLGQC4LqtuU4xvZBHa30OxVwNdIsCBgWJa24bccelLIiKaCfDYig47WQYFopFC1Ysg2yWw8xzt49xcQ/L3D8hGyFw7594XVzMufeP6BTQ7FfRlwCbkBkmc/tSFjmYJAszn4VZtGAaFphl93e5r4t7x7mXnMh9nVACWP6+TjUKWBq4TtHEZvDUbBOKxdIzt3dKQyumsT/fANOw7PYQz53BYBUtMIuDFYF8rghmFMAZg2UZoSWMhYFlVIOmxQFmIrfIwQwGaBTcIrZesmhZ3cSskgwLGYbOmK1PWTHvbEUwIwfOLXCz6Fm+Hag/xcY1cJR0J2AB3AQD0JnkeGHIBHP0FzMWbZlOwqg7B3ZMKwLCM8T8+YPwk3GHjhJHjhxBd3f3SosRIUKECBGOEUNDQ+jq6joh587n81i3bh3GxsaO+VwdHR04fPgwqqpOr1UQq5oMMMYwMjKCurq6VZPFamFhAd3d3RgaGkJ9ff1Ki7NqEbVTZYjaqTJE7VQZVmM7cc6RTqexZs0anMg6Bfl8HoZRWTbacojH46cdEQBW+TQBpfSEMcljRX19/ap52FYzonaqDFE7VYaonSrDamunVCp1wq9RVVV1Whrx44VTI4AwQoQIESJEiHDCEJGBCBEiRIgQ4TRHRAaWiUQigS9/+ctIJBJLH3waI2qnyhC1U2WI2qkyRO0U4WixqgMII0SIECFChAgnHpFnIEKECBEiRDjNEZGBCBEiRIgQ4TRHRAYiRIgQIUKE0xwRGYgQIUKECBFOc0Rk4DigUChg27ZtIITg2WefXWlxVhX6+/vxsY99DOvWrUMymcSGDRvw5S9/+bhkCjvVceONN2LdunWoqqrC9u3b8dBDD620SKsO119/PV7zmtegrq4ObW1teMc73oH9+/evtFirGtdffz0IIfjc5z630qJEOIUQkYHjgC984QtYs2bNSouxKvHSSy+BMYZvf/vb2Lt3L/75n/8Z3/rWt/Bf/+t/XWnRVhQ//elP8bnPfQ5///d/j2eeeQZveMMb8OY3vxmDg4MrLdqqwu7du/GpT30Kjz32GO69916YponLL78c2Wx2pUVblXjiiSdw880345xzzllpUSKcauARjgm//e1v+ebNm/nevXs5AP7MM8+stEirHl/96lf5unXrVlqMFcVrX/tavmvXLs++zZs387/7u79bIYlODUxMTHAAfPfu3SstyqpDOp3mmzZt4vfeey+/6KKL+Gc/+9mVFinCKYTIM3AMGB8fx3XXXYdbbrkF1dXVKy3OKYP5+Xk0NTWttBgrBsMw8NRTT+Hyyy/37L/88svxyCOPrJBUpwbm5+cB4LTuP2H41Kc+hbe85S247LLLVlqUCKcgVnWhotUMzjmuvfZa7Nq1Czt27EB/f/9Ki3RK4NChQ7jhhhvw9a9/faVFWTFMTU3Bsiy0t7d79re3tx+XEqx/ruCc4/Of/zwuvPBCbN26daXFWVW47bbb8PTTT+OJJ55YaVEinKKIPAMKvvKVr4AQUnZ78sknccMNN2BhYQFf+tKXVlrkFUGl7SRjZGQEV155Jd71rnfh4x//+ApJvnqgluXmnK+aUt2rEZ/+9Kfx/PPP4yc/+clKi7KqMDQ0hM9+9rO49dZbo6p9EY4aUTpiBVNTU5iamip7TF9fH6655hrcddddHuVtWRY0TcP73/9+/OAHPzjRoq4oKm0noZxGRkZwySWXYOfOnfj+979/Quuar3YYhoHq6mrcfvvteOc73+nu/+xnP4tnn30Wu3fvXkHpVic+85nP4I477sCDDz6IdevWrbQ4qwp33HEH3vnOd0LTNHefZVkghIBSikKh4PksQoQgRGTgKDE4OIiFhQX3/5GREVxxxRX4j//4D+zcuRNdXV0rKN3qwvDwMC655BJs374dt956a6SYAOzcuRPbt2/HjTfe6O7bsmUL3v72t+P6669fQclWFzjn+MxnPoNf/vKX+MMf/oBNmzattEirDul0GgMDA559H/nIR7B582Z88YtfjKZUIlSEKGbgKNHT0+P5v7a2FgCwYcOGiAhIGBkZwcUXX4yenh587Wtfw+TkpPtZR0fHCkq2svj85z+PD37wg9ixYwcuuOAC3HzzzRgcHMSuXbtWWrRVhU996lP48Y9/jF/96leoq6tzYypSqRSSyeQKS7c6UFdX5zP4NTU1aG5ujohAhIoRkYEIJxT33HMPDh48iIMHD/pI0unslHrPe96D6elp/MM//ANGR0exdetW/Pa3v0Vvb+9Ki7aqcNNNNwEALr74Ys/+733ve7j22mtPvkARIvyZIpomiBAhQoQIEU5znL5RXBEiRIgQIUIEABEZiBAhQoQIEU57RGQgQoQIESJEOM0RkYEIESJEiBDhNEdEBiJEiBAhQoTTHBEZiBAhQoQIEU5zRGQgQoQIESJEOM0RkYEIESJEiBDhNEdEBiJEiBAhQoTTHBEZiBAhQoQIEU5zRGQgQoQIESJEOM0RkYEIESJEiBDhNMf/D54BHKmaRZAaAAAAAElFTkSuQmCC", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def ackley(x_array):\n", " a = 20 * jnp.exp(-0.2 * jnp.sqrt(0.5 * (jnp.sum(x_array**2, axis=0))))\n", " b = jnp.exp(0.5 * jnp.sum(jnp.cos(2*jnp.pi*x_array), axis=0))\n", " return 20 + jnp.e - a - b\n", "\n", "\n", "def plot_ackley2d(extent=(-5, 5, -5, 5), res=0.01,\n", " ax=None, add_cbar=True):\n", " if ax is None:\n", " ax = plt.gca()\n", " x = np.arange(*extent[:2], res)\n", " y = np.arange(*extent[2:], res)\n", " x, y = np.meshgrid(x, y)\n", " z = ackley(np.array([x, y]))\n", " im = ax.imshow(z, cmap=\"RdBu\", extent=extent, origin=\"lower\")\n", "\n", " ax.contour(x, y, z, np.linspace(1, z.max(), 10), linewidths=0.5,\n", " cmap=plt.matplotlib.cm.Set2)\n", " if add_cbar:\n", " plt.colorbar(im, ax=ax).set_label(\"Loss (2D Projection)\", fontsize=14)\n", "\n", "plot_ackley2d()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Run PSO to minimize the loss\n", "\n", "- Fit the 4-dimensional Ackley function\n", "- Define search space from $-5 < x < 5$ for all 4 dimensions\n", "- With default inertial/cognitive/social weights, I recommend using 100 particles and iterating for 100 steps" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "PSO Progress: 100%|██████████| 100/100 [00:20<00:00, 4.96it/s]\n" ] } ], "source": [ "swarm = multiswarm.ParticleSwarm(nparticles=100, ndim=4, xlow=-5, xhigh=5)\n", "results = swarm.run_pso(ackley, nsteps=100)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Get the minimum loss found\n", "\n", "- With the `get_best_loss_and_params` convenience function, we see that the particle swarm has converged very closely upon the global minima at the origin [0, 0, 0, 0]." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Best loss found = -4.6277704\n", "at params = [0.00556334 0.00865068 0.00135516 0.00539218]\n" ] } ], "source": [ "best_loss, best_params = multiswarm.get_best_loss_and_params(\n", " results[\"swarm_loss_history\"], results[\"swarm_x_history\"])\n", "print(\"Best loss found =\", best_loss)\n", "print(\"at params =\", best_params)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Plot the best loss as a function of time step" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "loss_histories = results[\"swarm_loss_history\"]\n", "pos_histories = results[\"swarm_x_history\"]\n", "best_loss_possible = ackley(np.zeros(pos_histories.shape[-1]))\n", "\n", "var_histories = np.var(pos_histories, axis=1)\n", "best_losses = np.min(loss_histories, axis=1)\n", "best_losses = np.minimum.accumulate(best_losses)\n", "fig, axes = plt.subplots(ncols=2, figsize=(11, 5))\n", "axes[0].plot(best_losses, color=\"C0\")\n", "axes[0].axhline(best_loss_possible, color=\"k\", ls=\"--\")\n", "axes[1].semilogy(var_histories)\n", "axes[0].set_xlabel(\"t\", fontsize=14)\n", "axes[0].set_ylabel(\"Best loss\", fontsize=14)\n", "axes[1].set_xlabel(\"t\", fontsize=14)\n", "axes[1].set_ylabel(\"var($x_i$) for i=1-4\", fontsize=14)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## The same thing, but parallel!\n", "\n", "`multiswarm` automatically distributes particles across all available MPI ranks. To try this out, let's redo this exercise, but this time in the script `multiswarm-ackley-4d.py` which is copied below (this is essentially just copy-and-pasting everything we've done in this notebook):" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "```python\n", "\"\"\"\n", "multiswarm-ackley-4d.py\n", "\"\"\"\n", "\n", "import jax.numpy as jnp\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from mpi4py import MPI\n", "\n", "from diffopt import multiswarm\n", "\n", "\n", "def ackley(x_array):\n", " a = 20 * jnp.exp(-0.2 * jnp.sqrt(0.5 * (jnp.sum(x_array**2, axis=0))))\n", " b = jnp.exp(0.5 * jnp.sum(jnp.cos(2*jnp.pi*x_array), axis=0))\n", " return 20 + jnp.e - a - b\n", "\n", "\n", "if __name__ == \"__main__\":\n", " swarm = multiswarm.ParticleSwarm(nparticles=100, ndim=4, xlow=-5, xhigh=5)\n", " results = swarm.run_pso(ackley, nsteps=100)\n", "\n", " best_loss, best_params = multiswarm.get_best_loss_and_params(\n", " results[\"swarm_loss_history\"], results[\"swarm_x_history\"])\n", "\n", " if not MPI.COMM_WORLD.rank:\n", " print(\"Best loss found =\", best_loss)\n", " print(\"at params =\", best_params)\n", "\n", " loss_histories = results[\"swarm_loss_history\"]\n", " pos_histories = results[\"swarm_x_history\"]\n", " best_loss_possible = ackley(np.zeros(pos_histories.shape[-1]))\n", "\n", " var_histories = np.var(pos_histories, axis=1)\n", " best_losses = np.min(loss_histories, axis=1)\n", " best_losses = np.minimum.accumulate(best_losses)\n", " fig, axes = plt.subplots(ncols=2, figsize=(11, 5))\n", " axes[0].plot(best_losses, color=\"C0\")\n", " axes[0].axhline(best_loss_possible, color=\"k\", ls=\"--\")\n", " axes[1].semilogy(var_histories)\n", " axes[0].set_xlabel(\"t\", fontsize=14)\n", " axes[0].set_ylabel(\"Best loss\", fontsize=14)\n", " axes[1].set_xlabel(\"t\", fontsize=14)\n", " axes[1].set_ylabel(\"var($x_i$) for i=1-4\", fontsize=14)\n", " plt.savefig(\"ackley-fit-results.png\")\n", "```" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now let's run this with three MPI ranks (this will assign 33-34 particles per rank). Executing `mpiexec -n 3 python multiswarm-ackley-4d.py` yields the following results (with about a 2x speedup on my laptop):\n", "\n", "```txt\n", "PSO Progress: 100%|██████████| 100/100 [00:08<00:00, 11.50it/s]\n", "Best loss found = -4.6522627\n", "at params = [ 0.00065104 -0.0034627 -0.00270411 -0.00358401]\n", "```\n", "\n", "![Results plot](./ackley-fit-results.png)" ] } ], "metadata": { "kernelspec": { "display_name": "main311", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.11.8" } }, "nbformat": 4, "nbformat_minor": 2 }