{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Azimuthal averaging in log-scaled bins\n", "\n", "PyFAI has been optimized for histogramming data on uniform bins. \n", "Neverthless one can perform this histogramming in a different space. \n", "This cookbook explains how to choose the proper radial unit and subsequently\n", "define a new unit to perform this integration\n", "\n", "First of all we will generate an image with some realistic noise and integrate it. \n", "Then we will observe the effects of the output space and finally we will create our own output space.\n", "\n", "## Guinier-like scatterer image" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "%matplotlib inline\n", "#use `widget` for better user interaction within the Jupyter-Lab" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "from matplotlib.pyplot import subplots\n", "import numpy\n", "import time\n", "import inspect\n", "start_time = time.perf_counter()" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "import pyFAI, pyFAI.azimuthalIntegrator\n", "from pyFAI.gui import jupyter\n", "det = pyFAI.detector_factory(\"Pilatus100k\")\n", "ai = pyFAI.azimuthalIntegrator.AzimuthalIntegrator(dist=1, detector=det)\n", "ai.wavelength=1e-10\n", "q = ai.array_from_unit(unit=\"q_nm^-1\")\n", "method=(\"full\", \"histogram\", \"cython\")" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "#Guinier-like scatterer\n", "I = 1e6*numpy.exp(-q**2/2)\n", "#Add some noise to make it look real\n", "Y = numpy.random.poisson(I)" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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JBRG9j4ieJ6Kvam0fJKK7o59HiejuqP1qItrR+v6L60b0SpFNfmqjLtmoSTRK7Rn77F4MpzCJzZ5DeyvhER1VhZ1VyUUdUecykouk30wuZgM8kYvs+EXoLQrIRhO4CjmLvRjtCTlNJGHWl9+La9Esl/66Wou8fQc7Dl6L7JzsuCaHk5VmgRTYi/vrnHoKwxgAlc8PUeulSYW7iHNGSNQTP74GFyu/CODtegMz/2VmvpWZbwXwIQC/qXV/I+5j5p/ysssK8Eo86pANXySjDS9GHYKRs12BYJTZayrsrBL6yPZXIRcO6ahzIxcmvQWAshoXJvuzvRRpKgrEnC3oLXJrLSgkYkLbQk5Tn+lmv8xeCzsJmT2u47VIh3LMc0x9ZOnL7ju732S+g4gzi2UVcaZtxG15chL3F6OYOpQSC2b+FIDTpj5SNO1HAHygzM6yoDHhqEI0KpKMUjvGvpYJRlX9RVV7vkMjVUWd1r50114nF/MQc85sZexX0Fu4hSmakQsXzEvIaVqzSfrpsngtKttp6LUosqH2VvzcJfXUh4hTGNvmI+J0Pk49t2MkX26u4ZCmfo9vA/AcMz+ktV1DRF8hoj8lom9zskI0u8E0+WmA2mTDI8loqwJnLYLhYL9170WV8bUJRIHXYxnJRdJoIReFbX7FnNm91NVbZPfXdkhkmYScRZ6NIoJSVDQrZXefeC2yc8rCGal5mT1kBZ51Uk/rijiz8CHiVLbrHaceW08ba0oLmhOLdyPtrXgGwFXM/BoA/wDArxLRQdNEInoPEd1JRHe+cGbScBsRPBOPykTD1ZtRgWRUnu+LYFQMj5SOcyEc2TFlWSNVdBdVwibLTC7qpKEuud5imUIixj1YvBZ15uiomn5a1Wthu3nvNa9F0Zwir4Xaj/mx6bkTgagh4mx6fkhZJc4mx6nXqWnhgtrEgoh6AP4igA/Gbcw8YuZT0eO7AHwDwI2m+cz8Xma+g5nvOHGkX3cb1dCQcDQiGjXH1PZiFFxfIcGw2Slpq+29cBnTlu5ij5ELY1vBDVztowG5yNnwp7fIr2smAkWoSi5cUEfIWcXjYfJaxKhbyyI1rqxWxR7zWmT7bF4Lk42sZwIFz11IR94rkXkOoOz8kHhcvs1dxFm1EqcrfIZDmngsvgPA15n5ydnG6ARFV0JE1wK4AcAjZYYYzbJCGqMm2ai0D48ko3Cusc/uwXC205RguNgqet5Ud9G0bwnIRd001Oy4FIrEnB70FrkxDVJQm4ZE5iHkLFq381pU81rk7FrmqHFFNuxjgWLviG1+3fNDfIo41TrlIs44HFLsgSj5vq2I0tlE9AEAnwdwExE9SUQ/GXW9C3nR5psB3BOln/4GgJ9iZqPw0ydaIR81yEYrJMO4jr/aFd70Fzm7Nb0XRXMuZHKR2KuehupLzDnrdNdbVAmJFKHtkEjh2hYSYRZKNks/9VE0az94LbK2fBTMyq2dee6UBWKwZxJxZlFXxKnabYQi3V5W0yJurxcOyZOfIvQKewEw87st7X/d0PYhqPTTpYPtZk8ydDeSvXFJu4tVX69wDX1fpnFxv6FPJwSU3YttXjwnMz625WTHZMPQxiLIX7sQ+XkldlJj4g8BS/P4Ivvxt4jk6n1Je2Q3XoIIYK0vbtcek5ht1zYGggFJkUkGZ92ger+QYCnS7cQAx/0Mlpm/jIxtmp2CcfEaRXaL7MfXYxyT6Zs9T89tG8m6yf8SzAJCMKS2rypzTWMEMSSb7WXHAHAar6Nsrv7rarZp7tcfW3+FDWvXsgMGiGYfOd2uNk71aR9N7bGtjw19gCIHOl0RUWNqjPbaqG4CZ70juf0RJKdHmecJSMhcG1hCpkifABiQMYGNwiFMAiGk5rkIZ/9TEF1ceUiQSIDZ9MUFe5sBzfwdvlD32HQPaJZ66ubNqOzJKOqr6sXw6cEw2ShpW0hopNQWVe+rc76ID8+Frd81U2QOeosi+0lf1kPgUM7bNSSyrEJOX+mnprY2vBbWsXr7EnktRME436mni67EqdbIWzSJOJUNe00LE5qV+M5jOYhFXbREPmqRDcewiZPNNsIkNQiGk40K2guneVWel5GLQrLhgVyk9uKfXJT1l2WKzOb41VvMOv2moM4zJOICn0er66hdutuRfNTVWpQfx24hGyVru9rJwneZbyBPMuYp4mxSiTMbDikScZbVtGhc4tsBe5tYuMAT6WhENBxslu69qN9ouznBWJj3osrzqhkjqb6G5CJ7yb7IRWKOzf2OmSK+9BaFfRlyUTkFNR5j8x5UyBKpgqpCziIbddJPU30eSn379FoYy4Xrj1vwWuTHmW3VLZiVXa/s1NOsbeN+CaUiTlNbExGn2lfxbbuopoULSkt8Owg7l4ZYzCX7I4sGZKMtklG614p9PsSZRhu+vRdFc8qe7xdykbSZv6xN5KKSmLOwrag6Zs36FnssJFIEH+mnKXsVvRbZvrK2utU4y0IkbXgt8n26LbPd/L6z+8w8tzw2Pa8j4jTarXmcur2tek0LANBrWthKfKv9+guHLA2xcMFCDiOrsa9i+568GBX7CrNIHPfo23tRumaV56ZiWraxy0YujGMdyEViy7Hs9wL1Fr5DIm2g7fTTRXstiuZk28tSU315LYr66hTMUntL22h66qmPSpwm27bj1PMhE1G7poVOIIpKfPsOh+wpYlEF3khHQ6Jht9vQi1GDYLQWHqnivUjZajk0skhyUQXWb1b7X3i5fmcdxeL1Fj5CIsuYfmoeu3+8FmW/4i5ei/wezXuoUzALyHgmykjDHEWcpnBIFmbBplnEaQuHmGpaUIZslJf4BpqGQ/YtsShCs0yQakTDB8lYCoJhsGGcXza3bmikyvMq5MJKFBqSi0VmiixKb5Hso/wmXSUkUja3LrlwWqNlr0XqL3+PXovUXIPXwrTvrK2qBbNcUFkM6lgwS/WZH5ueNxVxlq2f2HUUcfqoaZETeBbUtNBLfGfbfNCCJSEWlL9h1/lpgNpko8IemoZKCvfmm2A47KuS98JkL2VrQeQi+3zJyYV7v/2GX97mqLfI2qgZEpntuZgQVMnocIFr+qlxroVE+CqaVW6zuK3s5NNZBU/z/L1UMCtrr4qI0/TcRcTpcpx6fp6bR8J+CJk5HJIeU73Et+3EU32eeuweDlkSYuEJnklHY6LhYNdup2aYpCbBcLZT13vhGBopnGN6XrS3sgPMbHOXkVwk5ri4v0W9xWwPNUMiGdsu4Yd5hUSKYPNa1M0CyY4pKvVdNn7ZvBYu4ZCqdtR8s92cjYJwRtnJptnn2flqjCnMkR2TR+564HYwmWlN1da8xHcxMmSjYonv/UUsiuCBcFRPOfVAMtoiGDk7zU4+re29aKq7KCMMdQtpLQu5SNosNwZh6G9Jb9E4JFL0l7pFyDkvuKafuszda14L2/xFeS2y8CXitPWZnptIRhnpMNoFjOGQ3DxjWz4cYqppocZWL/FdHA5phuUgFkSVMj68pp82IBu1SIaDPfN8UUgyKhMMX+ERw/zSuW3rLuZBLpzm6HuoSS4sIQ9nMacvvUViN/3Xu6lvXiGRtoScRWjitTC+Zh69FqVzLV4Lc92KxXgtiva2SBFnEWmJn9epaaH24x4OMbXZwiEz+/MPhywHsaiJ1shHDaLhnm7q7sWw2ygmGIXrOra34r0ombenyEWdg8vaSkO19Be1VdZbLDgk4jq3jFw42W7JaxGjLa9F0cmnqfVtnoiS16htr0VR37KIONWYfDgkPybz3FLTou0S383CIUDdcMieJhYuWETKqS+SUTdMUiuLZB7ei5qhkSrjC8MkbZOL1PyK5MJow/bYRB7yTb70FlkbbYREbHuqIqh0gY+iWVVKfbfptShrK083LfdKtFnmO7/f8r0Bxd4IYRmn+rLkxL6+eb5hjEGDUaemhW2ca4lvNdbQ1igcUp8eLA+xoF7+p0XMK+W0MskosWOeW5NgOO6hqfeidO02yUX2eRVykRrnoqsomm/vyvY3FnN61lv4DInYbDuFITyHRFzgo9S3CT68FqY6GGVeC+NR7TXLfNvgSv4WJeIEyj0TPmpaqDaT2DMfMnEp8a3mL1M4xI7lIRYmmMhG2U8DeCEajvZLbZXYMM+tSDAqhEeaeC+cQyPZ51pb7hrmQS5qiTYdPBptijlN/a56i2R8eyERl7NE5iXkdPVaFBGRC81r4RIOsdrXx9seF+gmfIg4s89NZ4RUJR22NU3hkPw897Z8iMStxPciwiHLTSzqwCPpaCvdVLddaqfOfJ8Cz5wNz6GR7Jwq3ouq6aeLJhcuIZGyz7AlJOJFb7FEIZGZvfkIOV2wCK9Fmc0ir0V6rvbYw+Fk80w9za7dRMRZdpx6GzUtzPPyo0wlvtVcczjEhCbhkCyahENKZxHR+4joeSL6qtb2L4joKSK6O/r5Xq3vnxDRw0T0ABF9d61dtYWGZGMx6aZuOoz8PLP3Ip5jXcu2fmp+/bLepeQinlfwvDA0sl/JhfUb23RzzzfttZDIvM8LWVavhUs1TltbERGx2zTbmmfqaRbpcRkvRgEZaSrirFrTwmbXFA7JzzNni1Q58bRpOKTe2SFmuNCRXwTwdkP7zzLzrdHPR9VG6eUA3gXglmjOfyZTMMew5YWkmgKNyMZc001LbFQlGIv0XrQu6pwHubDO8UQujOtYHiemON/vKwW1yEayfrOQSH4tc0ik7fTTwj0tidciZcPUVsFrUea1mafXQvXZ1kjva14iTpcxLimpalyzcEi+bQHhEAeUjmbmTwE47WjvBwH8GjOPmPmbAB4G8LpKO3JEq+SjBtGYb7ppMcEwz6lBMBzWddJPxOtXnbcocuFi0zndtCK5MPT71FsUtRXqLTyGRGy2qwg5Exuu5KIClsFrkWozCS4N65jWrqK7KEs9bcNrkcUyijhdwiFZuJb4dgmHmE48BbC4cIgDyagXQFH4aSK6JwqVHInaLgfwhDbmyahtIfBGOCoSjblkgsTzq86rEh5p4r1w8ULY5hXNmQe5KEthTR47SuWrzCkLiejtVUIiyY2+OAV11tdeSKRWbYumoZI94LVItTkQFNP4VFvNMt9lR6bbUKSRsMHu3bDvoQ0Rp8mWiXTUDYfkxpjaKpx4ugzhkCLUJRY/B+A6ALcCeAbAv61qgIjeQ0R3EtGdL54e1dxGPTQmG75JRl0dhT63yjxf3ovcfIfQSB3dRZvkQkdTclGVdLiERMocKybyYAqJ6EsVkoaWQyLJ/Mx6tbwU9UIiTmvMyWvh3FfRa2Gyqx4b9u3gtXAJh9hQNRzStohT2a0WDjGSgy4cYkUtYsHMzzFzyMwSwM9jFu54CsCV2tArojaTjfcy8x3MfMfxYyuA6DX7aYjaRKMGySjEkhAMJ/ueQyOFc9oiF9m+tsiFJzGna//ShkSaCDk9nW7q44AyX16LouPYm3gtliX1dNlEnGofmecl42sfmb7E4ZDZWulwiB3VwiG1iAURXao9fSeAOGPkwwDeRURDIroGwA0A/qzOGpXhmXTUIhqOJKNpPYsmBMM8Zw7eC4fQyJ4gF1YbLZMLw9ac9RZLEhKZDVoeIacLls1rkVqvhCC4FsxK2VyC1FPVZ1sjvV9XEWfWpum5j3CIcLBr2puyP59wiO590MMhcRVOPRyS9VS4hENKRxDRBwB8HsBNRPQkEf0kgH9DRPcS0T0Avh3A3wcAZr4PwK8D+BqA3wfwd5g5LN1F2/BAOCoTjYokw753vwTDm/fCoa1O1c2lJxeFRMMTuTDaNm/NON9DCqqPwlnZ/bQt5KyDvei1KAqB1PValGlL2vZaFK6n282McxVxmtZrKxxSNkaNSzcS0CgcomyYv0RM4ZDseFfthGs4hJjb/eC64LZXHeNP/V5JyQs5J34ip5WnkOveuNx2qa2CfutcS7t9vPkL0jjeoY1M9rLzDGNy8/Q5ub7089xe9f6iudk+tvRZH2c+T7Y+U7u+tP651NtlflumfsjZlw/H7tLUOIrsiFwbNPcqx23RONbsxuNMNuJxHP/1JA02OW2TM+vrdpkzY+L9cHa99FxbP7T92cZImy1tfK4tuiaZ3Q9T3m6qzz4vNx75Nmmxn7TB1K89ztiUMIzR2lM2oPcjt29Z0MearXhc7jGb+pBcV/zxiW2x9nHS15Ucj4n3YZqPhG5Izj/Pz4/beTZGa1d2OWOHo72xtjdlQYIhowtgqH4JntmHVGOiNhlZkMRJj4SEjMiqhESIKaY0RYgJQp6AIdOPeQLmUM1lCRm1M0c/CMHJF07cJiHl2buY+Q4YUCsUshDoAsein8brVPdqOHsyHLwY7dSyWKz3olZqKUq8F9k9tuW5cBlXJ1PEaF97vKQhkUKvhQFNhJyFR6t7xF7xWpS1lQs3K3gwHMIhVVE1HJLzOJSIUG19hV4OcK1wSG7NPRIOEZmwh7IjKodDyrB3iIUrfJOOtklGiR37vupoKWoQDBfbTXQX2fWahEbaIBd1Cmi1obcw9DdOQU3s1AyJtCnkzOzNNf10WbUWLvZMfcbxjoeTpfbjOfW0bRFnFm2EQ0xajf0aDtH79ZBInXCIy9j9RyyK0JRsVPRmOJGMEi9GXYJRqr+wrJUfa7rZG2zbskZya5QQhXjNKnPmTS5c5vjWW1i+WUv1FvE4H1ki8xRytqytyG2jZa9FEYmYjfF7OFmd1NOU/QWJOPPjzGvk9pLbf+Y5mR+bnruMcU4vdcwOMc0zf7wNRKPgKHU97XTWPssQ0b0YvtJOl4NYEMCi5/zjFb6IRgmaejG8F8ual/fCsE7rGSNl5KJgHWvfvNNQk3UthMORUNQKiSQTaoZEGgo5s+vvR69FUSqp7zLfyy7iLFrDR02L7Nw8AcmQFcqPWZZwiOtR6gAqh0Nm6wRJOCS1foVDyZaDWFREq+SjLtFwJBmtEoy64RHX8Z51F6XzqpKLwrmBtc/Zi+GahpqaX4FEpOZpj+voLZqERFqobeE7/bQNlHktnOY2DH34KPNtm1v3/JAyz0bZXkvnaI/LuLN5XJYY2MMhVWtaGOe4jKkZDgEsHglLm1l7IaxkQx9TVoVTtdmrcBZhTxILF3gjHHWIRgWC4RQmKZhfuGfXOQXj82MrhEZM66TmeSYXVVJR6wo4XdJQXUmHca4HvYVpfmKmYkikwGuRNuwSMkgTlybpp4vwWtiqcRrHZsSYPrwWrgWz5i3itBGPRde0KFo3a9P03GWM73BI3lPSPByi7KSrcM7spMMhvqpw7ltiYUNjslGFZPjyYjQhGJY5ruMbhUYcdBd1MkbmTi7q1LhYgN6iuK2i1yLVaCcChd6FSgSi/ByReaCO1yJHZubstdBRVvJ7L4g4c3sqCIfo8F3ie7+EQ+I+/X+XQ8ns2CsaC1DeM+Dy4wm1iUYdklG4jxYIRtveC6dxHkSdy0Yuqs6pSi5M8BQSSX3JinSfsuMQEmkq5KxSbXOfeC1McPFamMaXtVXxWixaxJlfz/K4QDfRZolv4xyXMXMIh6i9uIdDdN1FPC69l7T+om7a6ZIQi5poiXjUIhqu6zp4MZwIRsHcwv1VGe8y1hIaKbW3YHJRq28emSLGsVr7EoZEvAk597nXoopHo2xeUeqpjiqpp1VEnLY1XLwWhfMdxZ5VwiGptXJrFz93GVM3HGLajxpn2IOxjSwExC0coh9KVjft1Ia9TSzK4IlstE4yrOsWEAyP4ZEq54K4hkacdBeG12he5MJ7GmpVXYUNez0k4nTzdfEMZEnHfLwWLvDltSgiLE0KZrmeeppeT3vs+Tj1/Frl4ZA6Hg2g2GuwqHCIcV9ALtQhTG1kFmjaC2OZaZU1VKKnoGbSTqsKNtN2LzQ0JBu1SUbhmPYIRpU9zSU0UkfUWZVcFO2pLrmwjZun3iJZs0JIxDSuqHiTY22LWV+BWLOB12JRKDv5tHCup6JYTdJMq6SetinibFLTIren1DjrsKUNhzh5MyqEQ2xVOE2oU4Uzva96aadLQSwY5JRC2lo9i5pEo9JeFkQw2vZe5MctAbkoGVuLXPjMFPGdgmroT7ZU4tWoW9ui1fTTjL1l8lpkC2a5kYhmZb5N41NtDU49tY21zWtDxJmF73BI0xNPnceUzFH78hsOUe1mj0bdKpw+0k6XgljUxTLVsnBe18WuA8Gwoo6403UNVyKyF8hF0d5s8+Yh5iwda1rP8riwrWJIxKOQMxliSz/dg14Ll7FVynyXzSs69bTMnouI00RWbHDxWhTBJRySu2kX9RXw86rhENMYUzik7Ch1275MmR+uZ4XEiolce0E4xFSFU/UF0dpBtJ5b2qkNe5pYlMEb2ahJMpztWvvtBMNreKSN0IiLqNNka17kwnemSIMPYXqtOYZEEjMVQyIVhZzZ+W5VN4tLfbfmtXCAL69FW6mnriJOW3/VcIgLmtS0yO/VbDe7x5zNAjvKVua5YUydcIht7RxhMdW2ADkTDTXeoqUoCIfUTzu1Y18TCxPmWceishfD2t+AYFSZM4fQSJ2MkTonozqNrUIuXGy0rbdI2rTHJSGR4raKXgsDCklCE6/FopAJ1eSISwFcxjYtmGUab2srE3H6qMTZRk2L/J5cx2WeF/TNMxzi5M3Im7Jmt/iuwhmPSz1vmHa6HMSCCKnDuFx+PGIedSzmQTCMaNt74TRuvuSiybkijcf5IhfGdaqHRGrVtsj0Gdv2odfCBVlNRJXDyYrGuPY1abP1V/LWtCDizO0ttZ75cWnfnMMhym52jP9wiPljX817MY+00+UgFnXQIvFok2R4IxhG2/W8F9Y9uIxdJnJRc6x3MaeP+YsMibh6LSoIOfeC1yIr4sx6LVzmtpl6atyr3uZYiTPV77mmRR0sczjENMaXNwMwExTjx7ViFU6TzkKvwpmfM/veq3raqdleCYjofUT0PBF9VWv7P4no60R0DxH9FhEdjtqvJqIdIro7+vkvtXblA54IR6NiWY52a9mpEx6pmjniLNbM73Mh5KKtGheWcd70FsscEmkx/XSveS2aFMwyjnHQWOjwJeIsF3Rq7UtS4ttHOCQLFy+HSahZOsZhX1ZbLVThVONF7nnV006rwGX0LwJ4e6bt4wBewcyvAvAggH+i9X2DmW+Nfn6q0m7mAY9EoxS+vBhthEdcxzcIjewbcrFIvYVxzQohEcN2CscVhETaKJo1W3e5vRaFcxwKZlVJPXWd11TEWeaJWVRNi9w+CsZVCYdUKZZlnI/887oej7qHkgG2j7y9CqdLSMMl7TSrsyhC6YrM/CkApzNtf8jM0+jpFwBcUbrzMuilrot+fKMB0WjLi1FrvkfvhXV9l7EGclGWjuqFXBTadx9r3dc89BZGezVDIsk4k01TW4HXQl+ibvqpZf4yeC1cUCeLpG7qaVsiztTePGR7NPFaFKHtcIjTHgxVOIue29pMh5Llx5jWN9l3r8IJwDnttOy00zrwobH4fwH4mPb8GiL6ChH9KRF9m20SEb2HiO4kojtPndpxX61t4lGDaPgulNVWeMQID6GRWuN8k4uW0lCdxrnqLcrgo3CWqS16XCrkjOAs5EwmlIcEKpX6nrPXYhkKZlUNi9Rp81HToorQswiLDIdU1VnUDYe0fSiZWrdZ2ulsH7O00/weq5f3bvSNSET/HwBTAL8SNT0D4Cpmfg2AfwDgV4nooGkuM7+Xme9g5juOHVttso00fBOOtkhGCcFoHB4x2vQUGvE1zgO5KB5bRBJaFHO2GRJpU8i5IK+FE1ryWjgt3XLqqbFvziJOl7H7LRziMr7VU00bVuH0kXaaFXTG4Y74ccpGBZ1FbWJBRH8dwPcD+KvMzADAzCNmPhU9vgvANwDcWHcNr/BBNmqSjOJ9NSAYNbwXXkIj8yYXBfCWhlpXzGmZM7eQSNKmPfYQEvGSfhpvZ4m9Fk0KZvlKPa0r4ky1lYRDTPbKalrY4EvEWYQ64ZBcX0k4pGraaX1xp/+0UxN8pZ3GfQAKdRZFqEUsiOjtAP4RgB9g5m2t/QRFOyGiawHcAOARB4t+vQyuaLJeBZKxcIJhtFctNOKyZmvkomkaal1yYdtTG2GQ1J4qhETmIeQs8loY0JrXImO/qdfCCS2nnhbNN9uUhjb3cEfZei7hEF/wXSzLtnfAHKpI7yW7TvF84xyHMaa1rXON9tzJQ53TTlVfc51F6Qwi+gCAzwO4iYieJKKfBPAfARwA8PFMWumbAdxDRHcD+A0AP8XMp0123XbnKOj0RUKakowS+CIYhXON7TW8F65jncSaS0Auisba9tFUb+ErJFK6/hyFnC16LZKxczpDZBlST9sSce7VcEgW+m+xazgkC9/hEOcxhr20kXbq87RTW3nvqjqL0rshM7/b0PwLlrEfAvAh59V9wnbDlVNze1V7Lnb0GzLbx8fkgIpsigCQYfX58Q3VNFf0jNfBIgBlx1PPeA3GsYa95sY5jRGAlAX9GRuZ5ywESFpuPjnb2ticXW2s9th47SVzUo9JAFwyJrPPfD8BkgvGAsi+BIY2fSuF44jBlr96SEiwtLhZBYMlKW+BdUw0XzAgaTanApI5xABTYjPedx2bie342uP9kQRz0S0MufWL7Jrsucyr0iaIIQv6U2PBkAWVHwgMRn4eEcAx97Osrds2/YrG0PtS8w3XkczRPhI5G5lrytrJvn4EpCiZ6TXJjsk+V3Znr4l1nwRIVq/qrE1NzL4+pjVsr6MAQRqrh6qrKYMiE+bvOSIBzn1xmPaw3+HLu1F1roMXo1GBLDTwXhhtzUF3MW/PRdtizjbCIKl1S3QVtrEx9rHXorL2omLBrOK9uesx6oo4izwhvmpa2OYXhRR8o81wSG5edu3cXrLr5G0sIu206WmncZ8JTXQWRdj/xMKEJkSj6ryWCUap9sLYbg+NGLHHyEXx2DnpLdoMiVQRcha0NSqaldjwq7VY+CFkEXyknhrtLkDEaevf6+GQ3H6z8wpIUVk4pGwfgI1AGPZVN2vEpqeoeNrpInQWy0Esqh5C5hvzIBm+CEbBXOucCt6LqroLlz3Om1zsC71F6TrO305af+Z/fSt72GuxrKmnbYo4q7QtY3ZIEVJaiqKMkNQ4e5+pX4dZ31L8vK5Qs2naqa/y3lV0FrO9u+ssloNYVEWbxKOuN8MzwbCv04L3wmhr/uQib6ciuUiNdfdGFIZPLPupmhZbGXWFnEmb9tg1JFLQdyF4LXyeemq2Xy7GLBJxptdbTDjEV3aIjTwUhTlcy5Hn5lWswpkPmWTnl89R+8iOMZAC498HpnE2kmCGnWy43fKLTjl1qWexN4lFGXySjaokwxPBaM17YWxfDnLR+GZdlimSGuuot1iWkIix33P66RJ6LbJ2fXstXJANh9Q5P6TQrmOfr5oWyxoOKUJROKQopLKItFNTm++0UzV2sTqLIuxPYmGCD6JRh2CUjW9CMEq8F5XmLCu5mJOY09nD0VZIpAw+K3Im40zr2Pva9FrM1s+GKfymmGbhU8TpMtbcV36cuq82W3/dcEjanvvaJgjbY8dwSFlf07RT4xoO3gsjgWiYdrrsOosLh1hk0YRotOHFaBoescyp5L2oIurcQ+TCta+O3sJbSMRHRU5jv1tbIceZg9eiyoFgMyPVvBZ1UEXEmQ2HmK6pSiaJjmUNh7i8tk2OUi+ylQ+VFOyhYRVOk32vQs0G5b3V2HZ0Frl5jn8MLQmxIED0q/943UJDkuFj7CK8F7Z95mz4JRdlYxqTi9TYFvQWtr20KeS8ULwWmTm+yny3KeIsHltOIpxJwj4MhxQhRW4cx5XZrxoOUWOq6yzmUd5b7c2MpjoLADCdG0II9nm6aVukow7JqOLF8BAesdveG+Si1pgq54q0rbdwrWHho/z3ItNPk/EVvRaJUYcbSPYv/AWnnPqoxGkc42Bvr4dD6sCmkaioL7b2VUk7dRnjy5sBuHsl2tZZZPt0rYVNZ1GEvU0siuCLbDQhGU3HNPFeVJmzTOSizE6VIle+9Ba29ZsUzvKdfmrsX6DXouhmLNIhDBe0lXpaBVVEnFVqWrj27YVwSJNDyYoPG7N7WNI2YO0z9efWKRm/TOW9feosZiQiSHknsiERV2/H/iUWJjQlGlVJhg+CUdd7UTU0UkHU2Sq5qKhZmIveYt4hEROW1Wvh0lfpL/85n25qCYdU0Xw0rWkxz3CIrb9srJMNh3CIK+pU4Szr833aqWmMeR/5tmXQWQBI6Szy9mbfZ4L0x+W0YTmIRdt1Y23wQTKc1vFEMCxoPTSyYHLRqt6iwK7Vpo/wRhHqpp8abTXwWhT0zf56N/TV8VrUuLFV9VrUQR0dRpWaFia0GQ4preHgQhSaiGEd0k6LfhVd006L1s3aMdnylhGyxDqLbFgkK+BMxlp0FkVYDmIBIKVRqPLjbf2aJKMNglFjrbqhEefxvslF2Zh56S3qhkSsc1oQchrXnIPXwji+fa9F1p5NxFkVrpU4K+2tQk2Lwj25eiZaCIdUC4242DPPnVcVTtPzVF/FtFPTmGXXWajx1XUWedvpsa46i+UhFnXRBuGoQzKqhEkW4b1YNnLRQhpqoX3fIZE6ngov4s0a2SAL8FrM5rmEP/x5GHygrZoWRSRiNmY5wiFNUnSrwkYeXNNO8312+3WwrDoLNdass7CRB5vOQs0rL5Tlir1PLGzwRTSakAyX/ZWNqbFGVd3FMpGLsj0UeSaWJSTiJORsy2thWyNpM40rsmFqK/dazD31tK6IswIulHBIah8O4ZBFp50WeV/2q85CtZtFnTbYyUY+LJKeV71Q1v4lFln4IBqLIBg1vRdVdRfLQi4qF5yqordY5pBIBdvz0Fq4nnzq1ldBRzHv1NMmNS32YDjE1l+nzLZvzDvtdK/qLExrAMUEpChbJPvcR6Esp282InofET1PRF/V2o4S0ceJ6KHo/yNROxHRfyCih4noHiK6zWWNuaMJ0ajqxfAVHqlov6ruolI6agNyUWZ/nnoL5z7bOF/izSXUWhSPd3DrO5Xwrp56ml+nxGvRAPstHFJ2iJjLgWBtp5267i/XVzQvZyf9fK/oLNT8KmmmxaEPV5gEnEVwtfyLAN6eafvHAP6YmW8A8MfRcwD4HgA3RD/vAfBzZcYJBKJepR/vaEoyyuDLe1Fk3wIvuguP5GIemSJFc9N23EIiXmtb1C7fPSevRdxVl4C0nHpaWcRZFg6pFZKJ55aTiGUJh6Rs+0419Zh22nZ57zqoo7Mw2jG0uYZJbPPtmSJ2nUXbhbKciAUzfwrA6UzzDwJ4f/T4/QB+SGv/H6zwBQCHiehSl3WqoFXCUYdk+CYYZXuraHtPkIsyOxXCJN5CIjXGeYFPr4VxTsW+gvGNC2YlYyuETFpA2yW+F10sy0cVziappum1ytct3F+h7XZ1FsY1DW0+zw1R8901Fa6hj2yfrVBW3r6HUIgFFzPzM9HjZwFcHD2+HMAT2rgno7a5wDvZWBTBaMF7sXByUTamcXGsFkIibQk55+m1cNaI5JtaKZiV2K7uMUjm1hRx1kGTEt/GPgdNhe9wSGpOxUPETGN9hUOKsKw6izrnhpjgqrMw7atojTYKZWUFnGXwEiBmZgaqlVcjovcQ0Z1EdOeLL2752EbBWh6IRlUvRhWCUbZunb5lJBc+xJzLHBLxjTa8Fm2X+W5ZxNlUN9Fmie+iMYsOhyxr2mnT8t55e0VrZe2kn7d1boitLTfG1t5ioSzVVyzgjFF28JjLPlzwXBziiP5/Pmp/CsCV2rgrorYUmPm9zHwHM99x/Ph6g21UhzeS4TTWgWA08V6UhUYMWDZyUWa7SSZJGyERu7095rVwDHk09VrMS8TpAz7CIYVjFhAOsdlZprTTIhSFStrUWbSVJeJqyzrXOrZ6oSxXMWbVmhZNiMWHAfx49PjHAfyO1v7XouyQbwXwkhYysUMvMGX6aQmNSEZVglG6mRa8F0tALsr2VDnFtAy+QiIWm3W8FpUPKYuxbF6Lpn3JejU8ECUizjZLfFcJhzTNDqlKMKpoJ8r6F5V2WmfdRessvGaAtFAoS61lF3Da4FIoq0zA6fQNR0QfAPB5ADcR0ZNE9JMA/jWA7ySihwB8R/QcAD4K4BEADwP4eQB/22WN8k20TzpqkwxXguHLe1G1zxO5qDu2lphzGUIiTStyVj3ldIm9FsXjy/+6byLibKsS57KHQ4q8D6VZHw3TTm1rzbu89zLoLMw2HX6PTW1zKpRls6HGu2WE5Pvc7wtOd1Bmfrel622GsQzg7zjvwAdMN06eNjOp2WRXW/GNWpaMj8mFnBRsoGe/BtGzr2Hri68nY5NFD2QaLwJAhm5jHfbAIgBl7GWRG5PZQ+V+1/UN12rsEwKQFW8+2pzUHqrYIgFwfGMumScIkFyvjQhg8xemvoWZDQC2rcR9ggFZ7PclwWBJ6sYu56hhse2HGMyU7Ct+7jZXgguEcIAiSmy5TtNaQjBkyWtom1u2d0EMGfXbHs8T+q9U0R4K+2D/tczbyX8MysaYPibZMc4fORDYIAbNzyVIw2eTkBc3xnkd0lglNL9eMo8FpIXMCgQIo1dVUIAw92Vg2sN+hEfPRmUvRhUPRuHCDXQXFWxWLaLlMm5ueovCuXMUcjYpmuXDa+Ha7+q1KOorGF+lYmWVTA3XmhbzDIcUjq0QDnHtm1faqW3eftBZlH0yXQpl5ebUHDPPQlnKts2z4X7SqSv2L7EwoSHJqEUwSseUhEfqhkb2KLmoXtLbPSRSRchZtIbbvioKOctQprXwXetiWUScLcf5vRbLclinet/8006XoaT3Muos1Jji585j8k3OYRLbfJvOQo2vHhYxwbUC54VFLHQ0IBmVCMa8vBdV2i325kUuyvbSVG9RBFchZ2OvRVX49Fo0kcPvBRHnHNDW2SGC7CSrrbRT0/ouWFR579w+LI+LxpXBJW00Nye3njk0UXVtwPyR9VUoq4mAU3+ercBZhCUhFgQSPaefdpavRzK8E4y2yEUFUec8yIWP4lnVUkzbFXJa7bXptTCuvWARZwRfIs7ZpMzNeI+FQ6qOqZoxUhYOmUd5b59IEQlP9Syq3ujaTDVtgkqhkhonnWb7yipw2m3sMbROOOZBMAr7HUIjdWwvmlzk5tXQWxShCfEosGMf1yz9tMxm86yQdlJPC88PaViJczZ2vjUt2g6HOI2peENvmnbqu7z3vHUWWRQTkMzzkv55F8pqetKpCUXfHnUrcCq7bhU49xyxsME72ajhxXAmGE29F4skFwY4jV10SGSZvRal9jQbe81rsY/CIU5wGOsz7bR0rZbKe7eFOueGVOnLwiVttE3vxbIIOFVfsYCzSrrpviEWJngjGm0SjML+mqLOumXAM6jrjbCOayEkUm2uZyGnL69Fa1khDbwWBagt4kzmL084pAoou4fCsf4PJZtXee/UmnPUWRTuw/JYrVnQ5yDITK1TcbyaUzpk6QWcdY5QL8K+JhZZNCYZNQhGKUoPG6sZGqlKLqoU0VqikEhrQs7UuBofk3l7LXylniZrtCDirHEwWdtejDoHjCVzK8xZlrRTm51l0FnYzg0pnFPJO5FGnUJZe1HAqfqqCziN6zq+MxcUsdDRiGRUIBhz815UtbkocuEjBXUeQs697LVotA/HNoe+tmpazAV1TjRNwj/+XfhN0k6r9NvGtq2zKILroWhZkuH75tamgLMofJFbw3lkse2yVFOX0t6+9tgOiJA9gdTr0edly8+JYJRi3uSigp1G5KLpnlD1r3v/Qs62vBbV7HlKPW0i4oy7fIVDqsB3OKQG6oRDTGg77bRsTmr+EugsbKGS4jnuJK2pgNMlbNFEwGlCFQFn1cyQMgFn09Ley0EsHDAP0lHbi+FIMJz2O09yUfFsEbMNhxt+Hb1F6es0fyGndVwDr4XTyacmzFvE6atvmcIhmZt7nZvqPNJO62Av6SyKkPaUFIxzsmZeu6xQlgnLLuC02VDt1QSc6edu3497hlgUoQ2y0TbBKISL7qJoDzabVdobZIq0pbdoS0/RqtfCB+ocOJbq9yDivIDCITli40IMWkw73e86C2vYpGhOhb6mXpicANS05hIJOIGi8EdxUSzjnBqlvfcFsTDBF8moTTDKhjT1XiwTufCot2iCpfRazLtglm/yU7WmRTKm4Mu8Sonv3H6ahUOaoE4VzsIhHtJO29ZZ2Ob50lm4oq1CWW2ddOpTwGmfbyEPFY9QL+szr70XNBYtw4c3ozLB8Om9sPbtQXJRsu5chZyOfQvzWrQh4my7pkXdPzMzaCsc0kYVzsIxDdNOTZinzqJtzcU8C2Xl166ORVTgbPMIdQC1S3sX4YIgFlnMnWA47KcQiyYXBtSucVHnPI0mB5XtR6/FvEWcBXBIad9T4ZBlSzv1rbPQUTfc4UtnUWeNonFlfWW/2j4EnC52bW1NK3AuU2nvC5JYxGjixahEMBy8F0tNLhqEk+qERLyfcOqhbym8Fia0KeJM1qhZ06Kt7JDcesXhkGa2qws7mwo629RZ1D03pA3NRdNCWTl7jmuZnvsScOZCKZ4FnPa9VBNwqn00L+1t768JIrqJiO7Wfs4R0d8jon9BRE9p7d/rYK0w62MeqadzIxhN9jAvcuFoY6lCIoW2W/ZaWOw18lqU2PZev8K4nmObS192TJOzQyqGL3ymnbZ12mnRWqm2FnQWvsMdTUlIGwLOpvBVgdM4r8o+Ksz3Wdo7/bzFdFNmfoCZb2XmWwHcDmAbwG9F3T8b9zHzR+uuYUObhKOuPV/kIt6DFfMgFy3oLWqNqYJFei18XwtQTiJ0uIo4F1HTIple4WZTIxzRCA3STn2ddroMOgubraqFslJrtlQoq1JfyXMfR6i7jnElH02FnXVKewPwlhnii9i9DcA3mPkxT/ZqwXvKaUU7zt6LpqER3+Si6ho1sAghp3ufZ6+FBievRRXMW8RZuJZDX1tnh8wBTU47rTtmkToLcrzBtwnXWhe+BJwuyBETY9iiXM9hup23Udq7CD4zQ4rX8YN3AfiA9vyniegeInofER3xtEZleEs5rUEw3AYugFxUseWot6gdEmnjL/3Uei14LVLjPJGGtkScxjke6lcsIhwSwRoOmUPaaa3y3jXH+NZZVN2bCW0UynJFWwLOMtJQ5wh1V1QhEMb51na/mSFmWy2nmxLRAMAPAPifUdPPAbgOwK0AngHwby3z3kNEdxLRnS++sNl0Gw77bE4yWvNe1F2zDrloSczpLSSy7F6LlsmQfQ+ewiHO6y1ZOMSHyFM37/G000IsUGdRNsc2f56FsqzrFnhP6go4i9YuW9Nl7aI91NVf2ObOMzOk6MwQ+7zm+B4AX2bm5wCAmZ9j5pCZJYCfB/A60yRmfi8z38HMdxw/seFhG+5olG7ahvdi2cmFow2XcIdr9c70nPonoC6D16JVEadr/yLCIcmYvRMO2Us6iyZrufS7zKtaKKsOfAk4q17vfi/trWzVzwwpgg9i8W5oYRAiulTreyeAr3pYoxU0SjetMM/Je7HM5KKJ3sKD16IM+9prsciaFkmfY1utMR6JhIdDxrJYZp2Fq4AzRQQWXChrUQLO/D7ScAt5pO0vorS31aal3VdmSFU0mk1E6wC+E8Bvas3/hojuJaJ7AHw7gL/vYCl1AFjRT1toQjCcx+4VcuFqv2ZIpA0hZxHa9lqk0MRrUWq7YU2Lqmghf252tLi7OWsVzpK0U9fTTqtgnjoL1/F1dBZ1x84DbQg4q34y5lnauwqahFRSdipmhgiIVGZIWcppozs1M28BOJZp+7EmNstgujmznPqzH92wmN1tVplDole83/iGabFF1LOvI3qAj9eiih3qWfdaBBY9kL6GCAAZVrYzsxeA9PlF9gr7BCAd/jrVbLAQIJc5pTZna+eup+o+Tf1N2mIQAWz+QicBsG1LggHp+K0YjyUGKorK6oAEg2uuR8TgsjkO1y6IITN2nGxXAJEER+7tKrb1vemPdRvpx7NfEQKDUTzGff/2PVe7HkBqawsAsqDfxYbrGAJy9MP0WpjnqlczCyICG15MQQRpaoeAhPmDWtRXBb7riCwEbXg1atWyqBAaKR9kH1PLczHHkMiihJzFe/LgtVgG4Wat001bCoc07UvGFHse5o22dBZ1zw1ps1CWbew8vRhtV+BsfrqpnzFNSntbbVrb288MKcK+IBZZ+CQalcWajuP3FbmYo5Cz2N4ctBbWtf2LOEthGjvPcIivtNMmcE07bbJESzqLyvtooLOwzVlmAaePCpxZVC3tXXe9eYRA5pUZomzmDyMrwr4kFlksimCUjtkL5MIVLvP3qNcivZ/5eTCqlS33nAlS9eyQuGtOaaeVb9xLqLOoKuBsgkqeiwUJOJ3nt6itKLNn1rO42Mm3zfPMkCKUeUjqHEZ2QRCLGD68GG2Qiyaizlpps1UKaPkOidQYUwXezhCpa9Nk28VrUWqvplejaE5VJVjTcMgSp53Oq55F1fnzKpS1DAJO30eo5+0XP69VuMu0jsfMkCrrFq5nbS8hFTVTTi8oYqGjCcGolGrqMzRSsIYRVW22EBLJz5uz16LCGSLpeY4fDV+nni5LOGRe2ovc2MXf2HQ00VkUjmm5UFaT9YtgC2s0qcDpCh+VQutgGTJDqpwZUifltAhNUk6XglgQqocavK3dkGD4HFu4j7qvzbxDIhl4Sz+ttGa9EMUyijjrXkuCtgpj+QqHNPgGqlzeuwGq6CwWWShrLwk4XdNK03P8eH6qlvY2wWcIpOmhY7YzQ3weRpZNOS3CUhALHQs7Nr0mwajqvXDZh71zTnoLVxsehZx52xW9FlVsOffNWcRZhrkfm25ao2i8i80aNytf5b1bODekcMySFcqyzfGt52iKeZf2dkGbZ4ZU2keljJH6ZbybYumIhQvaJBpNCIavca2QiyqYxymovr0WZWeIeOhLoQ0PRlMdhQ7fR6k3RaWCWPPVWeTODakxt3BMC4Wy6sBHBkjVI9Stj2ucpLofMkOapJxWDYHYMI+U0z1JLLJog2jUIRhLTS58hEQanNq6Z70WddfziLmdHVJo4wLSWZRU9DROcZlT8/raFHDaxs7zCPW2S3v7zgwxj6lnu+mBZfNMOa2CfUEssvBJMhZJLooNzIFcuNrwJOT07bUogrueoqGIs81wSJ3+qnPnkXbq8VuojSJbVdJLs3PMfYsVcKbnLwmZM2BZM0Nc1vPtCGw75dQF2VNOC/fQyg6WCF6OS6/ovXDOBCk7G6Th2SJGNDzBtAna8FoUr+ffw9C6iLNKOMTXUerzSjtNxvjTWVjTRG0CTh8HlXkqlDVPAWe63922S1ijSWZIG+RBh+/MEJ9jmh5G5ivlVNlyr2XRdK19Bx8Eo+p6TcfMI2MFQPOQyIK8Fk1ST937Fv8xaRwOqQqfaadVxkSYm87CQ6GspmOrru0q4HRdP9u/KC9G25khPlA35dT7PjymnLZRy2Lx35gLQBOCUcd70XTMwvUWHuE7tbR8vcWcbLp04ZC20k5dsId0FnUKZfkq3900VbTq3DIyski0kRlyoaacFqGUVGReFVfPxQVJLGI0JRhV1mk6xnuNi6YhkXl6LZZZxLns4RAf2GM6C5/YDwLOKv0u8/ZDZkgd7MWUU8CuuXA5H8Q4j0Xp3OX4OBNBUC/1M9/l6xGMvUAuvIVEPKJ1r4UnEWcKezUcsp90FjkbZp2FrVBWEyyLgLMO9mtmSCX7med7NeW06l7KPBJ2e82+7xb/bWlBlmjMg3TUJReuBMMHuagDLyW/2/ZaZFDVa1Fsy38lTiuahEMqrTMPT8VidRazOVniUPev7sUIOIswzyPU6+xh0SjyAFRJOW2KNlNOq+3Dj522a1ksLbEoQptEo23vRVPi0ErZ7yyapp86oJQ4VLY3BxGnbT1vBbJqpLlabe19nUUbqaNGtCzgbOMI9abYb2eG+Ew5bbqXxK6zZ8JxrnUdf7UsfKHxNwgRPUpE9xLR3UR0Z9R2lIg+TkQPRf8fab5VO9ogGYskF3MNiVQRcrq+Jp68Fnm79W/gfqptLoiH73OdxWyNCmNbRFsCTp9HqLeRGWIbO88zQ9pA1f1n9+Mr5bQNWMlDzRfVRXfhEibx9VH+dma+lZnviJ7/YwB/zMw3APjj6Plc4JNk1PFezItc1MEiDnmrhKqpp01EnI5oatMlHOJ1P8uis6iAZXbFA/UEnIWoWduiDvbamSGuhGbZU05NaKOWRVX4qmVBWMwhZD8I4P3R4/cD+KGW1imET4JRafwcyIXXkEhTr4Wr1iKDhYo42wyHVCQjraWd+kDdoG7LAs6yQllt1MGY5xHqruvPMzPEZqNqZkgd1E05zaJqymldXOi1LHy8jgzgD4noLiJ6T9R2MTM/Ez1+FsDF2UlE9B4iupOI7nzxhU0P27DDB8Foi1w0gdfD0uZRX6KN1NMK2HPhkGXVWSyBgLMqbBU4m9hyGrugipG+7DXVRZTtpe0bcNM/9PdaLYs2UCdDxMe35JuY+TYA3wPg7xDRm/VOZmYg/9vDzO9l5juY+Y7jJzY8bKMcTQlG1dCIy42/tZBIm0LOZfJa7IFwiBfsYZ3FbH6VteYj4Gx0hPocSnu72vJ5ZkjbmgobXNftalnYvQ+2IllFmouqYs65aCyY+ano/+cB/BaA1wF4joguBYDo/+ebruMTPgiG89iWycVchJw+MW+dR8vhEOucFtNOl0pn4YC9JOBsu7R3ZdtLcmbIvOHjlNO8zTTmVcvCOK+FWha19tGgSFax3QYgonUiOhA/BvBdAL4K4MMAfjwa9uMAfqfJOm1hL5GLpvYboYnXotZ6zSpxFsG396EVb8Ze0ll4+vNxGYSDOpYtM6SqLZ9zsvCVcuqKuh6AZall4ZsaVNVWLKJIVtNvpYsBfIaI/hzAnwH4PWb+fQD/GsB3EtFDAL4jer6UaOK9mGeWhe+QyNy8FgsQcbZeEGs/6iwWhSWs8WDCojNDXAmBz/M/2g6P+D7ldN61LHxiETKKNr0hjb7RmfkRAK82tJ8C8DZ3SwSiAmEdhzV2Vw2CepA8rTyPqAd2mEeiB5bF48psFfW72PcO6gHZ/YgeULYP07w2UbSeCABZ/vvFIgA5jGsVQgCy6ByKkv6qtovsCQKk5YtcACjbhssYG4gBJpBgsCSldZBi9jzpl2Ap1E1cauMbgIjBjpUJk/UXjLI9C8GQ0etS5fragusequxVEENWuC4igEt4isv6po9J0UendC7MHxtBBGnYMMEgcHSAYIJsQCYX/1vvAKIg9dMW2vZctB0SsRv1cI5IkzNE6ngtWswOccacdRZVsDBB6TwFnLFZz6mj884McdqLASYvwTKlnM4DtbNZfNcD8TRmWVAUHml6ToiysQfRJsmoGxrxSS7qruNNa7EXRZyedBZ1wiG+bvK161mYsJcFnMk+5nPzazszZK/cxF3g65RT32hyI6vz676IIllVbCq7tlNNm8Gl+uaeJBY62iIZbZKLedlJG23Ja9GmiLMB9lXa6VKkmjasXeGAZTlCfRFnhswj5XSZTjmtU8uibs2L7G9uaTXSWquY7Hj2mizBkeyu3ow9Tyx0+CYYbZ2k2jQksie9FosOh8wz7XTZsEgBZ8sVONtELYLRwrW0mXJad2xbWMZaFr6KZJngWiSr6rptVN+sgn1FLGL4JBhVycUyhETsk+botWiwn9pYYNppeh8t6iza9F7MuwLnXsEcz++Y90mo+6GWxbxRP/21/pqLrr4JoFJZ7/308c/BF8FYFLmoGxJZCq/FHg6HLI3OonTsHvemNPn2Sc4EicMnJWeGeMA8U05dbbZ9yqkNTWpZ1EHR/DaLZNXFfqu+WVXQua+JRQwfBKMtctEEPr0Wc0EdslH1xNOWMdeb+SIFnFXtJvaXNDNEZIhIA/g+jKzpGm2ijVoWbWg2bGjz8LPZmJq2l/BcEFfse/FmFcybXLhgWbwWCwuHZFCZOMxDZ7EMmLeAc59nhixTyuk8sKxai0UWyaqD+oe51UeVQla1PmI1y3r73seexjzJxdJ6Laqg7XDIAnUW7jaXnHTMC/PUVMz5m6kRSWiYctpWLYsq8Fmx0wfmQW7a+hWbh9eh6ho+hZlu612AaBoa8U0u5u618CHirIs5hzLq1qyoE/Jgi2hzKQScPo5Lr4u9dGbIEosZq2K/FMkqQqUy3hXTTN1OMq33GrqeKdI2SfGVXpqfdwGjzSqe+x7zDIcsmc4ihRZuxFUEnAuHr2++ZfuLeQ/UslgUmhTJqoNlqb5ZF/PSTdjEmYuQbeyhb7B2UJdcLJPXonUR57KHQ+ass1gmAedc9lKX6DjVsKhnel5Y5loWbRfJStn1JLhssxJn279Ky1LWe14fGdHgzJgl/1jPB8tCLtpAqyLOZUWns5hhEZkhi0I25dQn9nEtCxvaLMGdW6vl6ptZZF//ZSzr3Tba1F0sxbcDgZIzOrI/c9vDHMhF6R7m7bVoirrhkCUKZeypWhB7JTOkpZTT2dxsrQrLzSZby8JHqqnvWhZzwLJmhNjQyhHtVffgad0mRKjN80LK1272CiwFsSjCPIlG25qLpfNazCscUgM+dRatF8qyoaqA8wJArZTTZK4fYeW8a1kUoqUiWdVs7k3B6rKV9Z4HfBXe8nEQWZv25462CUYdcjFPr8U84J0ALZvOwjd8VeD0mRnia07OxgLKeLddy6JlLKJI1jyqb84Dy1rW24RlIR8x6odqml9I7a8CIrqSiP6EiL5GRPcR0d+N2v8FET1FRHdHP9/beJcGtEkw2iQXTW/aSxcO2YvYAwLOxpkhrvOXMOW00Zw6uECKZPmATXw5j7LervuaB3yeF9LWQWRtwSVM0uRONAXwM8z8ZSI6AOAuIvp41PezzPx/NbDtjPiGLnk6j+XmAhI9sPR7PVab1ANcXzvRA7I2RB+Qk+o2TbZ8om37SwQWAUiGi9uAIED6+2InYnADRXrtdQWD5WL+7CSS4AqHPNVbo97r2sb7QWBwxb+MiQD28GsmAOg+pOz1+bpeX/uN4etjRtGrb1wDBOnBS1T7N5mZn2HmL0ePzwO4H8DljXdUE749GHvVa9GhOtwPHVtQuGUZdBjzyAJZlr/+64RIGlbfLDQ9p+qbbdla9Frz9mbsZ7iecOrl24KIrgbwGgBfjJp+mojuIaL3EdERH2u4YtHkYtHwRToWorPIYBkEnPsWTVSUVbDnVFwzXHBhjiW43mU8L6TNg8iaouoJp/NC49eDiDYAfAjA32PmcwB+DsB1AG4F8AyAf2uZ9x4iupOI7nzhhXNNt5HCIsmFL6/FMog4544l9MS0lRlS316Los1F1bJYcvJRhWAsW/XNvSLSvBDgWr+iTc3EvI5Ob/SRJqI+FKn4FWb+TQBg5ueYOWRmCeDnAbzONJeZ38vMdzDzHSdOHGyyDSPmWQNjEajjUWgt7dRUz6KurSbwVYGzIVzISGspp3uplkWHhWOZicey7m0RoRUfmRrzRJOsEALwCwDuZ+Z/p7Vfqg17J4Cv1t9eM/giF215LUrXrXnjXQoNxjLsoS5xqXOj9/bX+5L/+e4THi818QIsSfXNRZb1vtDQ5CCyvXzCqXXtxS2doMm3/xsB/BiAe4no7qjtnwJ4NxHdCoABPArgbzZYozEE9ZY2Y4SoB17SvQHLv79FY/HZGAKQe7O4UWMIBiSpm32Rgj/qJyHBchm+cmdoK/ulLMNEEEM2XFffu+2xAENGf2k3XdPHnp3WQTpjZJlRNUukKONDQEAWXDlF76YrahMLZv4MzGGjj9a12RZ8kAuiAMzuN5FlJjQLwwWUAuoDLATIN3EwkZGqBKXoG83hm5kEwDUvqzFBiAlJA8yDpCwy9dWGOimiJsyLJADNyZtLymjdNTxnaS8VlovCt4j9qLlYmM6iTWT2UZYZUgVF2oelTzmtg/0UVvHs8p9XCGFZdQKuaFtPcKGkgrqGRpaLStbHPvrmKUdTctFG+mlb2SGt6ix8CjgbokrK6Z7GvI9PXxZS0vI2mpT13kukYa8dRFaEovTPJfmt9YpFlwqvcyDZfnwfCjFPz8V+9JJUwiJOOm3Bo9DVwPCEC+7bxhFLcBDZMmAvnAvico9fJA+wpZMW7amNjJPuo14Re7FoVhMsRYZJh+VAkRfD859Vc79Rthwa8XUya1vYqyecXqhY9hv3su+vFewnT0J342+Aeb12votkdWgNdbQXbeo19oMnog7mob3IvraLDjnsJ1yQxGKecCEx867CudCqnvNee561LDRULpJVBb6qby5jWe+uLoM3LEOJ7rZR5VerDd7g8xO0jMRG1MyouWCJRROvxV4Jh1T2ZnTej2ZoInhcluqbyyLaXDQugNDAheoNcUWbnwTX23Xbn8ayMt717XbosOS4YDI/9iI6IjJDwxNOO52DGXVFncvymzkvUeoyOTyW5bVfCPaT1mLuaDPltOx9WSKdQisZIxfizfoCvOT9AF0LoT8my+MO80fRwWOtrTn3FfcJqoRDfOgs2pq7DPY7LDku4IPIlvksjjo3bB83+QulqNWFjjr1K2ZzO+wJ7Nlj1OdASqqESrxU31wmXIjejQ57FnuZa7rw63kIMPfCa3jBfyt14ZAlwF4jTXuRgHTY03D1ErQVdujCGR2q4IInFhcq9qwH5AJD7ZTUvYJ9eHndTdgN5FnU2IVolgf78GPdQUenj+jQoTmWWWvRFpaRIO2FMMBeQZs3/45YoH44ZK/Us6iE/UBEulBFMfa7F6RDhw4LRfcN06FDhw5zxoXoAelw4aA1YkFEbyeiB4joYSL6x22ts1fQiUQ7LASu3omqXoxlrD+8T7CMIYi2cSFes4799mlqhViQihH8JwDfA+DlAN5NRC9vY60OexB7UDi6J1NRO3ToYET2xlevJoifvexHtOWxeB2Ah5n5EWYeA/g1AD/Y0lr7Bp3QskOH+kjCC0t+RHmHCxsXgrOvLWJxOYAntOdPRm0dOnTo4BcXuBu9DBd6mOFCwLKRlYWJN4noPUR0JxHd+cIL5xa1jQ4dOuxTdALJ6rgQjlrv0D7a8r0/BeBK7fkVUVsCZn4vgPcCABG90BM/ugXgxZb206EejqN7T5YR3fuyfOjek+VD9560i5O2DmL2z1BJiQUeBPA2KELxJQB/hZnvK5hzJzPf4X0zHWqje0+WE937snzo3pPlQ/eeLA6teCyYeUpEPw3gDwAEAN5XRCo6dOjQoUOHDvsDraUhMPNHAXy0LfsdOnTo0KFDh+XDMlXefO+iN9Ahh+49WU5078vyoXtPlg/de7IgtKKx6NChQ4cOHTpcmFgmj0WHDh06dOjQYY9j4cSiO1NkcSCi9xHR80T0Va3tKBF9nIgeiv4/ErUTEf2H6H26h4huW9zO9y+I6Eoi+hMi+hoR3UdEfzdq796XBYGIVojoz4joz6P35H+N2q8hoi9Gr/0HiWgQtQ+j5w9H/Vcv9AL2MYgoIKKvENHvRs+792QJsFBi0Z0psnD8IoC3Z9r+MYA/ZuYbAPxx9BxQ79EN0c97APzcnPZ4oWEK4GeY+eUAvhXA34k+E937sjiMALyVmV8N4FYAbyeibwXwfwD4WWa+HsAZAD8Zjf9JAGei9p+NxnVoB38XwP3a8+49WQIs2mPRnSmyQDDzpwCczjT/IID3R4/fD+CHtPb/wQpfAHCYiC6dy0YvIDDzM8z85ejxeagvzcvRvS8LQ/TabkZP+9EPA3grgN+I2rPvSfxe/QaAtxF1R1b5BhFdAeD7APy36Dmhe0+WAosmFt2ZIsuHi5n5mejxswAujh5379WcEblrXwPgi+jel4UicrnfDeB5AB8H8A0AZ5l5Gg3RX/fkPYn6XwJwbK4bvjDwfwP4RwDiU+eOoXtPlgKLJhYdlhisUoa6tKEFgIg2AHwIwN9j5tRhOt37Mn8wc8jMt0IdT/A6AC9b7I4ubBDR9wN4npnvWvReOuSxaGJReqZIh7njudiVHv3/fNTevVdzAhH1oUjFrzDzb0bN3fuyBGDmswD+BMDrocJOcZFB/XVP3pOo/xCAU/Pd6b7HGwH8ABE9ChVCfyuAf4/uPVkKLJpYfAnADZGSdwDgXQA+vOA9Xej4MIAfjx7/OIDf0dr/WpSF8K0AXtJc8x08IYr7/gKA+5n532ld3fuyIBDRCSI6HD1eBfCdUNqXPwHwl6Jh2fckfq/+EoBPcFcwyCuY+Z8w8xXMfDXUfeMTzPxX0b0nS4GFF8giou+FipXFZ4r8q4Vu6AICEX0AwFugTgF8DsA/B/DbAH4dwFUAHgPwI8x8Orrh/UeoLJJtAD/BzHcuYNv7GkT0JgCfBnAvZrHjfwqls+jelwWAiF4FJfwLoP4Y+3Vm/pdEdC3UX8tHAXwFwI8y84iIVgD8EpQ+5jSAdzHzI4vZ/f4HEb0FwD9k5u/v3pPlwMKJRYcOHTp06NBh/2DRoZAOHTp06NChwz5CRyw6dOjQoUOHDt7QEYsOHTp06NChgzd0xKJDhw4dOnTo4A0dsejQoUOHDh06eENHLDp06NChQ4cO3tARiw4dOnTo0KGDN3TEokOHDikQ0X1R0aELau0OHTr4QVcgq0OHfYroHIWLAYQAtgB8DMBPa0eAd+jQoYN3dB6LDh32N97BzBsAbgNwB4B/tuD9dOjQYZ+jIxYdOlwAYOanoDwWrwAAIvqBKOxwlog+SUQ3x2OJ6FEi+o7o8euI6E4iOkdEzxHRv4vaV4jol4noVGTjS0R0cdR3GRF9mIhOE9HDRPQ3NNv/goh+nYj+BxGdj/ZwR8Han4/sP0NE/zE6rDAey0T0U0T0UDTmP0Vnp3To0GGB6IhFhw4XAIjoSgDfC+ArRHQjgA8A+HsATgD4KICP6DdtDf8ewL9n5oMAroM6CA1QJ0UegjqK+hiAnwKwE/X9GoAnAVwGdZLk/0ZEb9Vs/kA05jDUqZP/0bLtEMDfhzok7/UA3gbgb2fGfD+A1wJ4FYAfAfDd9lehQ4cO80BHLDp02N/4bSI6C+AzAP4UwP8G4C8D+D1m/jgzTwD8XwBWAbzBMH8C4HoiOs7Mm8z8Ba39GIDrmTlk5ruY+VxEYN4I4P/NzLvMfDeA/wbgr2k2P8PMH2XmEOrEyVebNh7Z/AIzT5n5UQD/FcBfyAz718x8lpkfhzoy+9YKr02HDh1aQEcsOnTY3/ghZj7MzCeZ+W8z8w6UJ+GxeAAzSwBPALjcMP8nAdwI4OtRuOP7o/ZfAvAHAH6NiJ4mon9DRP3I9mlmPq/ZeCxj+1nt8TaAFSLqZRcmohuJ6HeJ6FkiOgdFio5nhmVtbdheiA4dOswHHbHo0OHCw9MATsZPIl3ClQCeyg5k5oeY+d0ALgLwfwD4DSJaZ+YJM/+vzPxyKE/H90N5JZ4GcJSIDmhmrjLZdsDPAfg6gBuiUMw/BdBpKDp0WHJ0xKJDhwsPvw7g+4jobZGX4WcAjAB8LjuQiH6UiE5EXo2zUbMkom8nolcSUQDgHFRoRDLzE5Gd/z0SeL4KyuvxyzX2eSCyvUlELwPwt2rY6NChw5zREYsOHS4wMPMDAH4UwP8D4EUA74BKSx0bhr8dwH1EtAkl5HxXFE65BMBvQN3474fSb/xSNOfdAK6G8l78FoB/zsx/VGOr/xDAXwFwHsDPA/hgDRsdOnSYM7oCWR06dOjQoUMHb+g8Fh06dOjQoUMHb+iIRYcOHTp06NDBGzpi0aFDhw4dOnTwho5YdOjQoUOHDh28oSMWHTp06NChQwdvyFW7WwSOH+7xyUv6i96GP/jMtKltq2CetcvS4bwFw8Bck4Mxl/WKXpcqL5nvsUVjuKS2U2oumZstY8r3QAV9WnPRHjn+zzDGcc38sOJ9AQCXvG7Wfs4+Ld53nX5mdQWzYUXvWzzSMkZfw/JRmq01s8UFry+DQKk12fh6hSAIcOoaOfqHCJCs7ZoAycouaWP1uYTZRzS9b9v1zNaL7VDUw8mjvB2O9hevFR9BFz+X2ph4bnwt8VjJgNCuccqc/N+j2atHRJDMCJkRkkTAAiuBwHYYYkUE6nVkxoRD9CjAlCUGJKLXN7Yt0SeBXYwhITHkISQYO/wSGNPkutboGAjADjYheYSAVjGglaR/jBGYQ6xB1aEb0S76PMQ2n8q8yj0MxBrG8lymXWAoDmIkzwIgDMWh6HEeq+IIduQZU9eLzHzC1LEUxOLkJX18/n3Xz39hKRtNpyrzZdh8LyVjyLaGbZ6Pdja0Zce52pPsuV97nCUi2S1pz3OXJG2PtS/h7Je1YRzLjINQm6/f0Flvj+awYazNXjyWWVj71JNZv96ePDasw2ywE+/R0Mep6xKZ55QbA0nJvm1jpdYuQ/WFTqRumNk9xM+ljMdJMAtIrZ+ZkvmhFBDEkEwQxAi1a49thKEAEaevWdtX0hbdIGW0hsysJbX96q+XxKxdv1bm2fNQe42IGFMpkhtlmHn9pyxSN94eSYxkgJAJATF2pj2s9qYItf1PpEBfSEykutaQ0zbj6x+HQfKrzpG9kAlhNCaUhElid3Yzj19V/WMykeomHpB6PJUzexJAEK25M1Wv0dkxMBDARo+xHRIkAyvqLcJu9FUoSD0eCEUqHtka47KVAQ72ga0pcG4iQSBcvkZ4fpfRF4TVAHhqJ8QT8gyu7x3FSDIO9ATGkvGb5/4LXrn2lwAAL++fwGYocbgf4NnRGEMSeFaex4QmIAgc5g18bvzbmIan8IMH/ha2wxCfnn4URwa34EZ5El+l+3FSXosJQoxolLwOD00/j7X+xdienoIcnQUQ4JbVd2KdV/A1fAkv7XwN68Pr8ArxRqyij02McOfOL2OCHQBBYqcXHMPNw7firDiFp7a/hKvW3oBnRvfitb234zM778NInk/Gq8cD3Lz+A7h/67dxy9pfxH3bH1KvtzwHIMAr1/4X3Lv9P7V3LHwMFixFHYvbb17jz//3G6tPLLtZ10VNwuFMNFz2XWbL0m8lF0U2q7TXJRemNuu6bB9ThVyYzBcRDBu5KCQaFnKRm5O+wZraZzfy+E+pNHEwkYuUPRM5QAnB4DxxyRKL7DrMlN6Lttci4qATCxv5QIYUFY0Pw9mXaGpsAbmIiYWaL6zzZeZGOusTkS3KrZclFkD6r/gswciukd1LlmDEv7ohixTxiYlKDHVTVwQjJknj6LWSkWcCUDf5qRQISGLCIiEGEkgIVTw/jMgGA+gJiakUGEmBoZAYSQEBJHPHoYCIyIGEIhEhAysBYyQJE0kQBKwICQlgV3sfGGrfMekJmTCSytZajzEQDGZgN7Izloo09IW6plMjwkoA9CJC0YtMb0/VOLUvRV4ARS5i3Dc6jZcNjiTPVwJCQMA3tnaxHvQTcjGSjBPDALshYywZj0zP4jI6iJVAYCQZf7DzQXzHyo9gJEOsigDPyy0cF+uYsEQYfbFsYoSjtIYQjJAltjDGLu3iwclnMZo8DQA4tvYaXIbr8Uj4ZWyNvoFXrf1lAMA92x/Ea1d/DBsY4kV6Cc/QI9icPIcbeq9XrwE9i6e3Pg0A6AVHcPnq7XhsM12fjmgFN6x9Jx7c+ojWGkTE4rfghvAuZr7D1LO3iUUVNCUhFcnG3EhGQV+rHoy2CUYlArGkngvLGGW7mFyoMQWeCxOxyNgzei6i/jLPRZGHxEQeUnu03NjLPB/MlHktzUQmdyPPrmsgPjo50G3HBCHn8XAkF9l1433pXgsT4YjHhVnyqK9vIBZSs0vglOcisQtKvBaCGKOwlxAENXbm8QCQeCRE9HgakRUBYDdUno2eUL/M02i/ATF2I7IiiDFlQi8mMVJoBIUwjvbSExyRDEU4xnK2z0m0fryfgBQZiUlIQIyxJAzEzGsx0t5jNRZYj3zwManYDYHVAOgL4PldxnqP8PyuxMUrarVzE8ZKxDJiojAQhLFkHOzPXqMXRiGGgnBmMsFlK0MIAp7cGYHBuHgwxPPjMTgT7DlL25CQOMwbEADOYQd3jz6C71v7q3iAn8IxeRRD9LCJEVYwwAgTDNDDGFMM0MNTwdM4Gh5DHz1s0w4ek/cAAE6KV6nXCQIcfck8R4/hpfGTODq4Bi+OHsSJ4csSclEEogFesfqDGNMYD2z9rkYsKOW10L0Vs8cdsShGXdJRgWw4EY0m4ZK9RjCcCEeGPAiRHtPEe1HHc1EwrmpYRNnOexryXgJ370WR58LktUjZKfJcGNYwkguHkEiWXBiJheCU58IlJJILs0S2SXCe4GgEQfc8JPP0m7ROVphSr6NOLHRikiUWsZ1syCUOJ4QmwqWFPLLhkNieIMZEBmm70VgiFaYISCbjQqk8GSIKURAhIhSKoEykwCAI1TwhE7txuEMAGEuBgZDYDYPoZq9CJvEe0xyeIo0DYcqz8MdYC4/E1xETp0DMwidx6GMSvc4rAUekSNlLbEnl6egRMJbA2THjxAqhT4zNKaEvVPv5DImYSODwQD0/M5YJoRgIwrOjEQiET+78It6y+tdxis7jSnEEQ6HGj6LvlqfkS7hleBT/8/yH8B3DHwQRYTuc4lCvjwkztsNpjnB8SX4SrxJvwmX9dWyFIf6Mv4AVOohb+Gbs8BR3hX+EA/1LcDGfTLwVMQ6u3ARBfUzkDlaCgzjJN2MDq/jUzi8AAAa9S3BseB2e2fpsak0hDuCqtTfg8a3P4Oq1N+ORrY+hOfYAsfjc+19Wa258w2YhqmkeXFCVcDiu35hk+CYYtnmubbb2OgRjnroLIE0wmpILQLshViQXmfZcWASwkwsTsdBvzhU9F7m/9iUZPSRFeou436ijKLChey30/dq8JLomwkQu4vEkGDIUheQgtW8DuUjZjOzo4RSTR0Ld7PPJd1lNhm0NE7HQxYohCxAYUxlEngeR8lbo+w9ZJGEQXXcR98XYDQMMghChFKmQxCysEXkZotd+IkXSF3s/gojoxF6FHimCMJKEfuS5kJGtMPLEhBr5iInFRKr2vlAeiZCV1yKM9h6LLuPQy/ZUPRaZj9/ZMWOjp8Ikz+wwLllVA17YZWxNJY4Nlffl3ETi+FBgLNXj3VBiJRBYDQR2QkU+nhuNce36EFtTxvmpxDPhOVwiDmAlEHh8ch4bGOJwb4BPTD6Bc7sP4rvW/gbO8A5WMUilYd6NL+JAcBFOhlejB8IWxjhMqwm5WO+fwM70LPpiFVfSzcm8J/h+TOQOrg1uwzP0CLanp3CL+DYAwJ9PPo6bBt+WjD0jXsCTm59Ur1WGXDw1/nN8++Ad+P2t/xqNDnDT+vfjga0P4+b1H0ppLW5Z+2Hct/2hjM5iHxMLVzQmHXW8Gg5rturJqEoymnoqTO2+wiOLCI0UXYoDuVDmyTyuArlQY/KeC1fNhbPeAkBhWKQiuXDxXBRqLiwEw0RWYmKRGqf3GwiALaRhnJ94LHTvxEwEmp1jFGYiTyB0b4XuxUi8H1E4JJSEQMQejpmGgkEpnUUiDI08JeMwgABjygJ9ESZtE1a6iNhDASAJeehCzV1NxxLbn0ahjlC7VgmgF4VHYk9D7K0AoHlnZp6NeH5MLkwYhwJTVp4JycAwmA3sk7JzekQYBupj3hdKN9EXSkchGfjG5hSXrPQwEErceWoUE5GZrfUeJeGUB3ZfwsXBRhL6WAt6ODEMMJHA07sjrIoAB/vqdXlwdBZX9Q4lRGYkGccHATanjLPTSaKpOIcdTEm9/od5A9uRxqJHhDNyF1+efhxHB9fgNnoltsMpvhD+IXbGjwMAjq69GnfgWzDmEJ/ceR8QkcP14XV4uXgDGIw7d34l+S2bgZLnMal4dPMPM2MCqJwVfQ4iQvGbeOXaX4qIBGXmAR2xKMDcCIcPkuGZYHgJkdQNj1QlF1lyYBzvKTSyAN2FMSwCmD0XAJw1F45hkTLPRdvkwqSJyOotbCGRZEmNXJj0FrHXIjsvKwKVhtBEmd7C5LnIkgtTlog+J34ee2CmMoii6DMComdW6JoLYOZ1iEMfsXdiIgVCViJN3TMRkMQ4DJKQiB5KAZASZcbtMXEIIgFnQJyMizNBplJgEnkmZtkjivz0BScZH0QzD0XIyksRyjgDZPZ+MCPxfAwFgwg4NxERkeBEhyFZhTwEAes9xvmJCoO8sMu4bBWYsso6mUj1MwyAJ7ZCXL6mSAMAPLsbYiMQmDBjNRCYRt8Zqz3CY9sjXDQYAFDvwQvjCS4ZDhAy4+HROXx59Dt48/BHQCBcNBjg0fEmhujji9OP4bW9t2Mbu9jAKgSUePOq/gE8MdnEM8ETOBleg4fEfRjQGk6G12CMKbZpGwBwkDewSdt4Cg9iKncR8hSvEG+EAOEh8VW8uPVlDPuX4pW9t4JAuHvy+zg+vBEv7H4NNw3finPiDJ7Y/ARWBlfg9uA78dmd/568tkQD3LD23ZqIk3DT+g/gga0PA9ZE4eQ3zkos8j66RYAIEEG9n4ZgIaw/TnDdixCzH8e9WNcqW8NxbRYB2GSvzE6dNnKcZ3tu8m9mbZj6bSh6e7N92vPsZVjnCcuHMTsmGkeROC43j+J+Bul90fikjVgbq7EXbU48lihP6lK2SebaUutYQLZrLusjzl9fvHd9D2S6Fk7dXONrN43V2/V+IdJeghjxX+hFIJKQkhAEUmvjzJhozZJCKHrogllpH5SQUSIQ6if2VACKSDCi7BCNVIRyFvIIeebpYCb0RajskUw8G7HOAsBMpMmEoZBJaKMvJAJirPamqmYFU5Lv0ouEmgMhIQBMeZYauhsK7IYiCY2cmwSYRiLMgDiyH4c+gEGghJtCew0HAWOtJ5PMj2nkvdgN1fWtBJz8zbAWMFaEIhVjqXQZhweE7XBGPlRIBZhK4KKVAH0BPL49wVgC2+EURMCZyQRnJyGeH48xYU6IzkPjs9FzwhUrA3x45w8xFISLgw38wPqPYhMjnKLzeGh8FkfEKo72BnhT//uwjV0cpw2MMMGBoI+Lgw08N9nFRcE6rg6vxV3hx/Fy+UqcDK/BedrGffLTGPIQJ/gwTouzuHf7NxDyBEQBBAns0AhbtItL+VocW7sVRAJjmmBEYxwf3ogXRw/iktVX44HRJ3FYHsMtaz+MSwa34Auj38Qtaz+Ma9e/J/qdGOPBrd/VfgtZIxWATipuWfvhwt9fHUtRx6IRXMlFjVBG9uZe6lHI7sW2ZvaGZ7Ebr59bt2yd2L7JblYACaTIRcqLYbNjsOHURiL/J392THbN3PPYTc7pOXq/c1/0v0S+so7eFz+XhssoGBfrHLI1D1JjNJCQ6i/u+EYY/8VOjKLCVbpAMWfLNidOu9TWMtvJt8X7idfQry8ZLySQSYWM+xK3vbbHWVt6THa/prX0jAdBDNOnTgQyF5rIr5EnBLH3YiYwpNRc3fsTBDIlBhUa2dPDAiK6EQfa+mHksYjX0a8zDmvEepIwKooVExWZuS6Z5AsomwMRoi/U/GwdjKEII42E8hTEv2e96KaPSOswkgIrQYgw8lgowqPWD6I9xK+erqGIwxWxZmI1CmUE0WcjzhiJb9xxSIQw80ZsTRUxSTJFWO1vo6cyP8aSMIwIyThEdN3ARg+J10Iy8MIucGgArPWUF2MsgY2e0mUc7fcgGbhsZYiQGQzGUBCGQhVufH43BINxw+AwNkOJIwPlHfmB1e/CSDKeD7dwQqzhusFB9ATh4d3zEFBfOZs8wpRCCCKs8QDPhls4Qqt4PHgMK/I6MBjX9b4Fp7GJA7yGIQ8geYrHxQOYyB3cJt+Aa9bfgzNyB5u0hafwAB6Vd6Mv1nBq+x5csfFtuCa4BXdufyD5DegFRwEA0/AU7t3+jeR3Q9AahjzEET6ERwAQerhu/bvx8Nbv48b17408F2YCfN/2b+Pm9Xc6paMuh8diHvDg9ajs1XBdp4Ino3AdV7sF6zl7MOq2kWjuvQCKvRNZ70aZ50MHFfQ19Fykblwu3g0DTF6LVLvJc5HyjBg8Ayb7lLdtmpfyjmRtFHgPKLvHBiBiiOhHRoRF91xk14/bYo8EkYQQnHguUuO1+SJrS5srJSV6C32O1EIcRLMakiLWQkR9sUfCBIH0+v1AIhCMQS9MvBGB9n4FJBMyEojZOtnMFcmEUVT0KyY5AsprEaeb9ogxYZVhEUYZID0xI2n6NVBkpx8Rpz4xBoHyNKwEEj1SZIGZMA5Fis/H1xmTh3Ek2gw5shN5OAJSJCQQwCBQt8DYSxGHM8ZRmAMADvRVACr7sT88IBwbqjUCAi5aVQRkrQecn0qcXF1JMj9WA4G1QODiwRBEwFAQzo4ZE6mqcJ4aT7GOAQ70AkwZ+MT4bvzZzq9iU07xR+NPoI8eLqPDmLDEeezikmAd2zzFy+T12OUpDgdDXC1OIMQUjwXfxIjGeE3wNqzTEQSkiM2unGKHRhDRF8e53QdxQFyEW9d+BE9ufhrPBk/ijtV3Q+klGBuDS3F5eFV0tQwhNnDz+g/hyvXX48s7H8QXxr+Fm9ffiZetvwMBegBCPLj1UePv3wwheuzmi1gSYtEgFOIhHNLEbqXQSZntCuGSQvs2u47thSESFxsuRMGFYJQ+Lwl9ZMmFba5A+pNABX02cpEdl9qHO7nIhTEMIQgbOXC98c/2ImdhERPZKCIXhhCBMfzgQByye8ySj+S10fY7IyZ5MmDbkw5d6KhDZF6HbOhEd9GbiEl2fjw+K2KMb/RBdBOPvRU6SUqtC06Rh9imPlb33AzENBkfZ28oT8nsegUx+tFr3xeh2gfSosqYKAAzJxtHIs+UviXui+1GHg29mqfaCyVaC6XrUB835QWJMjygfkJJiSdjqnk3BkJ5PvSPz66kKA2VsBqo9VcCxqkRYXOqyMNAqPDHbqjIiF6pMy6UJRm4eEWJLwHgQFRha7WnUlxXAsJLU5VC+nu7H8dYMk7xJi5bGeL0ZIrTkzFukC/DDxz4GzgQ9HE93Y5ztKVsBT0colVshlP0QPhzuhsSEvfgQTzET+ESHMXJ8Bo8HH4RE4QgBLgKL8eL9BL+dPdX8DjfBwC4nG7CodWbcWr6CJ6hb2LYvxhH5AmMaYLj67dH720AAcL68Dq8cfUncNPqd6DHPQTcB1EfV6y+Dl/f+gju3/owHkhCISGAADeuvwMAJf+/efUnk9f53u3fhAuWhFg0RFsEpOL82t4MY38xyVgYwbDty2a3bB3Tn/5NtBeNPBv6vihPMAyPc9sX2v81PRf6X9ypuaabpJCwei6StmJNRZZcmPQWxrmU32/RDb6IDFB0gzXN0/dWhOxNWQRhrj+7/ow4aH/xB2HKqxFDZsiB7VqF5hUBkPJ0KG0CpwhKPCYL3YOhQhV5ciI1DQVF5CMgqc7X0LQTgRa6AFRZbwGOdByIxJ5q3CDSU6R0KMQYavUqpnoIDMBKECb1LKaaCLQfkYyB5gWJtRICiiQMxYy89Iix3pNYibwyMSjyVOieDD37ZBQq3cahvozIC7ATqvTSjZ7yYgSkPBkBAdvhTMi5EyJ1CsxEKgJxuB9ERbaUp+T3dj+M8xPGoV4Pq4HA24ffiZemU1zVO4Rv7m5hwipcsokdTKTErgxxTf8wTuAgXpRbODsdQzLjK/gC1oM+3iBuxwYNsSVP4ZA8jE1WZb1fLt6EMU3wwuRhbPAqjvBBrA0uT4phCQhcQTfjZfStuFxei9HkGXx1+7dw7/aHcH78DC5afx1Ob9+DL+x+ECL6gnp8eg8O8gYe2fpD9TpzLzqbJERMKK5f/z4AIR7a/jhuXP9+PLT1MQCMz+z+mvbquEkKliMr5OUb/LlffsXiNlC7QJb7PG+VOK0ZHgX2q2Z/WPqcU1TrtpVljswrJdU1Y8Rntog+rkIRrSZpqPrYRCtgqmEBJJkicZtLloh1f5lMEVsKam5MQX2LXPluQ4aIPkcfn+3Xs0RkRieSrT+R/l9Ec2ZpqXqGSZKyqmWH2Gxm58S24loV8dhJKFKkZCJne9c9GLM5aZvM6iwRNSatIYk9DrthgJUgTKpuTrW9xmW+473Gv8I9mlXj1ImG7rlQ2SWcZILEdS9irj8OKeH2cbqpICRlvXVZ1IQpyvZQYs7diDj0SZ0jshaVEw9IeSxeGjPW+8rASgCcnwCHB8CzO6o6Z1/EqamqqNZAAF87v4tLB0McHBDOT1To5fRkDEGEy1YG6AtVr+OPth/BK8XVWO+pPZ8aT3GKN3F5cBC7UtHDx+g5nOSLEYLxFfwZ1sUxnJo8gmP9a3FVeBIBBIYU4CzvYIg+BAgjTAAAD9O9mPIIK+IgdsIz6IkVnN7+8+iVJwACB1eux030Onxp55chaA2StzHsX4oTwxvx5OYnQegBJHBy/dvx6OYfRO/5Cq5Z+3Y8svUxEBTxuHH9HXhw6yPJ/2kse1YIZn8dV/3xgroejgpzKnsyrP1z8GBY1mmsvyhbwxQaKbJbxTuR7S/sy+zT0XORC40YH1s8F7CMMegksmER1W/wWmTGmuzP9lIQEjGgyDNi8k6YQiI2vYUtoyN+DXTvgi0DA4g8DxZPSHb97BiT3sKGeH68r9hjoWeV2HQWsTcjEKpCZqDtV6+dkSUxsa1+IBPnWhxO0fUmyWuhvWY5QhtfMzjRVwDKKzGVAr2IYMQZIz2aeUEGQYhe5OEA1I08JkoCKgwTt8fhkXguoNJQ43Lium3JUQnwzPiZ/kKFRnZCioSvwFCoA8l2w5i8KBI0EEi8PRzZODKkpAQ4QZGIPqkMkq0p40CPcW4MEBSJODNiHO0NsBIQdkNgayqxEqi00uvWBzg1muLUSOKpnRBXyMvw7HQLuyHj9HiKM7yNe8Z/gKfCcxhxiHvpPrxMXAZBhD4JHBAn8OTmp/By8SZcHF6Gr+KL+Nz4N/ENegIbGOKg6EMA2KERdmiEkCeYyhGmPMK53QdxevurOL5+O16/+uM4vn4besFhbAQX4a7RbyMQB3Hx2q0QYgMnhjfiqc3PgGgFV2y8GQBwWB7FG1d/AkCAG9a+E0OsRK+Tig09tP0Hqf9dsTTEoi5aJR91Qim+SIZrmCRjo1a6aoUQSWX9Rdk6ZdqLsjlNdRfWPuRDI3qf6TEakosqn0ZbWCTZR55cmMIrRiFnA71FoRizJFxSND9PIMy6jHhsNrSQE10awyGRxiF21Wdsxj8xCTBdR1bEGSOntcgo700ZK7lwiYhd4SqEkWSUSEoOHCPMfmK7eu2KuJhWfA0ySldlRqK3iNfQrzuMSAaRyhAB4sJWM9IzCMKUbiOIHo9DgXFUxROYHU4WjyHiJMQx5dkhZfprFxBwoC+xImappXEoZTdU2glApboKUgSiL+L/OTntVIU5lN4iLuvNUNkkm1PCOATWApWeGkQv2+EB4eOTz+LyNYHtkJXIMxBY6wHrfcLWFDg8CDBldTjZ8f4AaxhgJBkTljgu1vE9q/8LDmEN2xjhWnkjNsMphkLgRbmFm/k6vHXtJ0AgjGmCS8QNCMQqvrn1cYRg7MgQZ2kbT+LreBJfxw14DW4Xb8GVeBkuXX8Dbl37EQywBgnG5uQ5HFu5Ac9sfxFSngeRwKXyJF47fCee3bkXl66rg8oOy2O4Ye27ISFxnrYRh0C+vq2X+iZcs/a26PdoHIVK3FD6VUZE7yOi54noq1rbB4no7ujnUSK6O2q/moh2tL7/4ryTFuGNeDTxaFj35pjx4dOL0RbBqOu9cNFetKW7KCUm+p7mSC5SmRwGvQUAvcbFrL8CuciMS92si4iHCRbPhauNIs9DDqb9RusUCViz5MK0N+VlmIlE9foU2f0JSmsp1PjQSkiyZEQUeF4Se0JCGLwu+rqDXpjzUCQ1MaLU1Licd0wogPQZJRKUiDzjEEX8eghtTQAprYa+l5SHBsBudAKqoFmmiYS60feij2gQPZ7tG9F+kZx0Gpf1llH4YyVKWd0NZ4RsynFxLhXW2I4Em6NQ2VsLFCGIzxXbmgJHBoQzIxWYGgTA5pQxCICXJhLnJorAvDCa4NRI4g58C7amwEAQdkMVHtmaMk6PJEJmnB4r5nJ2LDGRjFUR4MVwGwd7fZwY9hAyYxMjXNE7gC3axafHH8GZ6RjfpPswYYkhCYxojHt3fgfn8CL+Qv/78W2rP46vibvxcPAIHuV7cXr7q5jKXYxojE3s4Bn6Jp7d/hLu2VXiyyH6eE3wNgTog3mMQBzCtStvwllxBneNP4JpeBrPbH8JzLv46s5H8Mju5zCiXdy78zsAAly1/iYw7wIgXLv+Pbh2/e345vafJO/NN7b/2Pg7akKpxoKI3gxgE8D/YOacEIKI/i2Al5j5XxLR1QB+1zSuCLffcoA/+4Fbq0xR8H02iIbCczVscK7CWT6ulmYi6a+ow6iiwfCpvfChu8i21T2krHSuvic2t2eeO5UAr1Chs+65Ij4OLCuqzFloX7su22Fl6bXL55v0FjkdhVZPItZbkJCQhqPW9bFJW+Y8kXz/7LkespiNKS/3naR/Zk5ATR/Mlddj6LUtdE3ENBSIzxGJK3cGmuAyPkck9iiEPKvoOdU0GMoekjECjHGk3SBSZ4PEIYvdMIBkZVPPGonrckggEX1OmJIj1SWns0xmj2cajqmkKBwyq28RH7Ee6y36pMSnscdjFKqKn1tTwnpPeWJUETDgcF9ia6r2EROVsUSSHTKW8RqKVMRlvs9NJPpE6AnCoYEiNJKBp3cmOD5U9S/OTUIQEdYCgZAV8Tg7DrHeCxAy4+7wUfTQw/W4DNtyij4FmLLEGdqCYMJBrGITI2xgqDwXCEEg7GKM8+I8AOCEPIYRJvgG3YPr+FUY0RjP0WO4Xt6MHYywKc7jiDyCP9v9NQRiHVevvAGrvIZz4gwe2/wjEK3gkrXb8ez2l/DK1XfiYhzC4/QcHtj6HQBAIA7hirXX4rHNP4Kg9eh13sLVG9+d6DDSsGssSpNSmflTEWHIgYgIwI8AeGuZnVbgkuIJ1CIg2b/GnYiGPqdovMM4a3Esl/nx65IrhGWxGdtzKbRlaItfq9LiWkKU2sqNif/8j+/S2f4s9P5sMa3seqZ+WzEtHfopUAJpEpB9bmq3jEllIRjGpIpeRQWGVAdDFazSillFBarqICmelVrbXjwr1ZfspaBAl6F4VvF+DOOi69cLZ1m1A8SQhmJeeuEuSLOQswymolnJulF9C5PN3FiaFcYKLNciaJa+GYcq9LdEJxXZtNh4Tqz/SM77iMb04tRUVuQkJhTMhBCzM0SYZ8SEmTDQCIWISRAxAijtQgAt3RWzj5UgJFU6gZkXhJE+r4QReSqg9nSgFyalv+PrVSmx6rp7SdhEte2G6mclUGXBJ0xRvQ0VPiEoncVKwJiMVbXOmFAAitDE3okBIrJDwItjiUtX+ircIYH1XoDtUOK58QghJPoTAQIhCAm7UuI6XBl5RgSI+hhH3zM9DjCiEc6CISEheYgJJniA7sYBcQJH5AkMWJURfyx4FFMeIZQTfGX8UTBPccXaazFFiEdwDy7FDdihEU6ufzu2+Qwe2flU9D4p0efG8Eq8gm9BsN7H13b+EI8NLsXW6DlcsfEWPLn5SYRyE2t8QL2HvI2rN74LAPD49udyv4tlaKqx+DYAzzHzQ1rbNUT0FSL6UyL6NtvEuSKrSSgSLVpQOXziGjYpGVO7OBbgN0RianMNj5TMqxwaMYk429Bd6CGV7EtgC4toz02lOnJzXEINJjGnZW5h2e/UuChF1FI8yyTmrFo8KxlTEBKxpaDq15kiANqYrJgzG5bIhQ+y9TIM4QdT+ml8MzaNMxXN0ueb5uqiTaBYb6HPNVXYjMfHVTnjY9GJgEGgBHixIDQdsoiqfYJmtTSgUlez2SHArLbFNForlCLxLAitP8uX41NRYwyETMjFlFUWRRCRDs7YC3lWNlxE42KPRRAJOyesKnPuRjd8tSaS7A8VOlFajM2p7mVS/++GSncxlioT5NRoinGo5j+/G+L8RGJ7ylElULXnKQPrPXU42lAQxlLi/DTExSsBRpjg5Moq1kQv2gujT4T1IMAuh3hAPouJlJBg9EnguFjHMT6Ig7yGK+gwDgR9rKCPm/k2XC+vwRFex5jGIAjcLK/Hy+TNuAG34dbB92BtcBHOTJ+ABONqeiUe3PkEvim/jOPhCZyUNwEAjq7eGIU3gM3RY3hIPIYrw5OYhmfw0s7XMA1P4entu+J3Cw/tfhJXbig/wQF5EOtyA1Kex8mN70heuzeu/kTquQlNicW7AXxAe/4MgKuY+TUA/gGAXyWig6aJRPQeIrqTiO584cxk/pkgQCPC0Yho1BzTKPPDmOVRQDBsdkztObuO2ouqY6rqLlJ9JeTCpU8ATpqLDJJtZ+cbyEXq5pjVZBSRkJTGoYBwEMM1U6Swr+y8EaRv5EVZIvasjXKxZ/wnO1G6YFOWhJjqRGT3bqpPYcpAMREFM0lRWg0hGEEgkSU+qbHIF8XSbev7jzUXszoU+SyQUKYPOYvPBsl6QgKSSTgktpecUSI4Kg2ufhX7MVmiSKsR2YhTRWPopctj0jDVvCgrQRjZ1rwXhESDEXtLlBaDU85DCSX+VK9ZRFC0X8VYcCmjkEp8cupuqLJDYrEmQ9W06AvguV0ZkQtgIAQODeJ9EY4O1YFkQ0HYiNJHJQNnxyFCVgSuLwgXD3sYhcARsZp4MFZFgIFQ8wHgeH+Ak7gIz+Il3MmfxS6HGAqB9aCPTexErx3jDG1hihAjDjGBxAl5DEMe4Fm8hOfpDKYU4oXgWRztncRt9CYcplX0OMBla7fjdnozTotTeDZ4Cq8f/iW8TL4at63+FRCt4MTarXh0849wd/gnIBrg0vU3qtdKbuOydeUDmIbncFAeiV5ria/v/hEAJG0AcA9/Bk/t3IUi1CYWRNQD8BcBfDBuY+YRM5+KHt8F4BsAbjTNZ+b3MvMdzHzH8SP9Smu3TkAaEo1y+w7izyYEw2qzggejisCzbe+FjirkwuS5KPJOWO1k+/T9WMhFhkQUlgAHcsTBSC4SW1oBrdLUUlnquci3zf7qrlo8K9mH5nmwijnLKm5q+7N5NkyvmT4/G27IFh+zpbbq6aOAEmVmx8fQq2bO5hZ5Q/JEMq5toZMLmyAzzvTQq2imPSjRtWv9jPSBanFhrJgkxDaSUuDJPqLrJ4kJi9nBZBEZiUlFrL2Iszzi4l2crKdep+RMFMReByQ3a3VtSE43TfYITtJLgdm5Igx12mlMJigKiQDKEzIMFDGKycR2dJz6uTGwItThZ4KAi1dEcsz6Wo+SjJKdMAQBOB3uRDoOJCXF13si8lao0t49AZydhFgRAruhxIvjcfR+ANs8QUCE89MQT/CLOC2ew/ndxxBAeWT6RLg8OIgdGWJbTrHBqzgjzuBL09/Hk8FTYDCOiTUc4DWMaBcX4QBOhicRcB8jTPE4PQcC4eLwMtxLX8Yzk/sw5RHu5c/hIfE1AMBFa7fixZ37AYTYnTyLq9bfjKN8CS5e/1YAEi+Mvo4rN96KKza+DQ+MPgGA8cDok7h07TUAgPtHimBcsfEWnN99CNPwDIrQ5BCy7wDwdWZ+Mm4gohMATjNzSETXArgBwCMN1miEopt8JXGm6YZcEOd31me4aDJs+gcgRQZSuokiuxb9RWyvkv7C4SAyFkFee1E2r+x5me6i7Llt7SqaC4GZ37dIc2FcUxtTeTzP/ko3HVqm6S0AWHUR+sFmJjvGw8diXUNKUyFB0e9UTm/hgozeomh+VpeQPM/oLfRrjV+3tFA0c5iZZjfJatD0IXpYI5tKytpf4vHhYiZ9hD7PVLCLkCYX2bBH9pr1dND4feyLMHXKKZAukBWQxJSD6HjzmR5jNl79xTyBAHjWNtD0FTIOW8QEIiITMblK1dxAdFR5sj+ZKhkOzEp8A4jOKUm/PpOETDCgvT4EpXcAkJAJZlV0aygIk4isDAK1E/W/upFv9FVBre2pSjtd66mQyDgEVoO40BZw9XofKwFw1WA9WjfSZZAKgUjEwk/1mh/oiYRc9EngJTnGhPs40VO1ITZ5hMvpGLawiTetvAurQgk7B0JgV0oMhap+uhoEOCIvBwbAUK5gihC7UoW1zuEF3C92sMYHcFQeU68RxpjQFOfoLE5tfQVK2QKs9o7g1O4DWF85ghd37oeU56PXaYKndr4SvcLKH3V8eCOe2/0arhu+Hk+GZ3HFxlsgOcSzO/cCQEIk4udlKCUWRPQBAG8BcJyIngTwz5n5FwC8C+kwCAC8GcC/JKJJtOOfYubTpbuIj03PQoaqvW5lzALYSIcz4dDJRok41Hp6aMpemSCzuN+LMLPMTgNxp5OwU28re56FabyNXBQRiLjfRi5S81BOLrTHuVNRjY814kDFYk4rUqQhfdqobVyhOf2GbSIX8bismNNgv4hA6H2xmFLZTZ+CCpEnTDZykbVtO/3URFpixFkiWXKgkwsb4r1kSYmRIOmXE5EU0/ujayVikhGyQJjyYKhfR/1I9WRudPopaEYskkwUEIYixEgGKRFoLPaUmP0aTqRIHGoC6n2KzxeJvRo9UqWWsu9ITIj01znUxKvxtXO0t7gkuYg8GLG+gwgAYzYH6vH5qcBAMMbhzOsSV+E80Gc8u0NJ+un2NAqDBMDWlNEXSsS5Gii9Rk/M9BsSwPaEcWhACAA8uzvF0X4PW1NVsfP8VNXgeJE3cYk4gDNyFyu8ipemE2zQEGMOcWl4CSaYQqKHU+E2LsIaJDN2OYQEY8qMEIwVrAEAngoex5nJE7hJfAuukjdiTBMMuI8AAgICY9rBfaM70Q/WcXDlJmyNn8X1vW/BQd7AzuAW3D/5DE6uvgHH5HE8JR7FGNt4cUsPZRBe2P06puFZ9AY9XLr+Bjy3q84lmYanUu9b9rkNS1HS+7ZXHOTP/vpr/Rn0SEQqp51WyEAptd2g30tqqc1Og9LeTqmpVZ8XpaRWKQPuowR41fLf1sf5mLVtjDENNfUXuj5f5NvYbqcoBTXpz5T7LrNvSjPNpqBy5vpt6afp12a216JUVpnqm401prWm/o/c/9Z+SmWJJHu3pK5m0091hNE1yIyt7HPd4xITiKzWApiFRVJ9WoppKAUCIZMCWhMZqIwLoUpuxx6PeF6o7SX+lezFIZB4r5jVyog/FUk4JLkeJF6MYeQxiwtoxR+lKVNyaFlSsVOq1NW47DhFnpSRVGRkFKqj1GMNh2Rlb8LqkLKpBE6NCBt9ROMVydiaAhOpKnCen6iQypSRkJA41XQnlFgNBLamEufDKQIQLl3p47nRFGuBwEvTKU4M+ggZeGkyjU5hDSBZERcAODOZgDXhrgQQgDCBRIgQL4gXsY1zuEyexBPiYZwZPYrLVl6No+ExnBMv4Znp13G0fxI7/BLO7j6Cy1dvx5BXcYqfxPb0FNb7JyAQYEgbWOMDeIEfxeb4OQjRw3rvBE5tK+/GpevfihATPL/1Zxj0LgEjxGT6Amy4dP2NeGbrs9gTJb29IpuRUaWoVQbVRZru+oxSm2X7rqPDqFgcy9lGBe2Fce0mz4t0F6aMkdRY8tCn78XSbtNb2B6nTHLhGOuBZVlNAwCj3kLTQ2TtFOktkn6Sid7CmCWSsV8kxjRlkFCkjciNNWRczPZa/gdTygtiWNtmo6zcdz47RXvtSqDrLbKizbJ1gui6Z2ENzDJQwCkPRFwwKz5zI9ZFJNcYaTXUOR5p0hNfSZx2KqBIwjQiDOMwSGpkhBnCpAs6k1oUgrEWyNz7oNaiJDVV6SXIyN11h546bCy+TsIoKvHdE2rNMCIY0cGlCAiJxuJAX+ksxlLVs1jvq3TU+GyQralM6lRsTSXWeuqckBCM7ZDxGJ5X4ZHoe05AeS+mLNEjUmJOydichtiEOnTsafE8RphihQIwGLsYQ0DgoDyEy+RJHKJV3Cxvwav73wnBAvdNP4lHdj6FrdE3MOZtXMbXI5RbeHb0NWzTedzMr8FtwdswDjdxfvIsrgivxIh2cWbnfhwZXo2j/WtwCa7FsbXXAJA4Pf4mzk2exvH12zGePltIKgDgOF8WaTPs2J/EoggNCUcjouFgs3TfFft8pJZWzh4paXMWdmafFxGGpqJO176UzRbJRVkWSDwmsVd847JV58yPM9/Ai9a2jXetgmnbky3LJCu4NAk59XHZ8t2JQDJ7iqztepIb3mxs9nj0pN1ABlKiSTFL+zSlrMZ6i+xx6LEdkSIOWgGtWH+g/wWshQuy82Z7U//H6ZvxelmNR0AyEYwqLcTstQiis0KS0Ey8DlRYIg5nTKIUVRldSz96LeJf+di70hdxOIQSx2CcQgoAIylAmOkxppHXYxKlnMZ1LQhKK9EXikCpc0b0a4qPU+eI4CjiMYnCID1SYZJRqNJGd6aMwwOBA32lwzg8EOiT2uPJtQEmknFQHkBfEFaEwEQC56chtsQWVkWA05Mxnp5s4T5+DC/xLjYwxIACbMgDOEBD9IXAFIxv0n34Ot2NTXEeEhLbPIYEsI4BNvggRpOncXjlWlyx8Ras0AYGrCptjiZP45ntr2Abu+hD4NLgZTjYvwzfEPfj+ckDOLp6C7bDUziAo3g0vDsiF7diPH0RrwjegvPjZ2DCReuvSz1+cPJZvDR50jg2xtIQi7qHkHlLQa1JNuZOMhoQDOc5Bd4Lp+wRl2wPGLwXLumjRWPaSkctIhepOdpjX54L01/Hhn5lT/Mo6J4LC6ocVmYs+52143ieSHZuNkuk0KNRRgQy+3TxXFQZpyMr+DTZNPVlS34DaXIBIKlt4Zouq9JC0x6H2OsQizSTc0SIEwLSFyo0GWivl36YmYz0GFLLKolDLzKzL71frYcUWSGK0kcx+xWO7cQiTckzghEk4yPvCSuyIiJSkhx8JjjyOnBCNtRaqvCVoOiYdFZizbEk9ImxEih7OyElhGJrqkhFQMDBgSIQI6k8FBSRlZUAODZU6atnJxI7oVR1M6TERcFaVNFTYicMMRACl8rj2JEheiRwNFjF9Xwl1qC8HH2hdBITlphIiXO0hdM79+Mk34yL5AkcxCoAYBM72MIYQx7g9as/juv4VTgzeQLn5QuYUoi14dUIxCHcsvJ2HMQqRpjiscld2Jy+AIkQh3qX44C4COd3H8Gj4y9ha/QIHpl+CZuT50A0xBqGGE2eBkCRJ4NwfP12AMC5ydPJe3wxn8Ro8jR2x3uEWDRFK8SjItGotGbTUEkNglE5TbUqwTDNL7HnPSXVdIiZbWyRByIL5zRV7bHnsEglcpGa2Dwkkt5HPiQy6yy48Rf8JZ/dVzLGEnbQb9q2kIjJTjzXdqNOvAkR4cmFSSzne2S9EIXXWBG6p0UnGvpJqCboXggbJjJIxJ+zMt4iIR4BzVI+9YPPALOmZLa2VJqNaAwhKr8d9cvENkcHqKmPUqy3iEMovYg0qDkRkUM6W2QQZ0AxRTqK2eu2FnByUBkAHB5I9JPXEIm9gIBzE+DEUBGRuCJoj1QGSEDqZzdUXgy1N2DKjNUkKyTAek9leBzoC6wEAgER1kQPk2j3fSKsBgEO9foIQNgOpzgu1iGIMBQCx/gAXrPyF3GMNrAh+kmhrQABBujhnDiHCUL0IHBV71W4HDeizz1s9C7CgeGVWOeVJMTymuBtGAYb2J6ewrY8g1Vew6HVmzCaPA1CgEGwgfH0Rdw6fAdGmODWtXcDYGxPlUDzYr4aAFIk4hvhl3Bs7TUR+bBj3xCLMnghHA2Iht2muxejcE8V+rxU3oTBC1LTe5G7vqpkwvS8rFKn1U4NzUWuPoa+j4rkwgTNA1Gmt8jNSxZpTi6KQiKm+ha2kIhLuMVUX4JMezPNMdiKyUJq6xmCUUpOMuQiW1UzFfIw2Irn6WeIZPeT3UNpYS+tP8iQOl03wfEpptH/ZaRkmkpbjXUYqi/2MmTDJfpx6gLRSaqYaTECw/sWH3gWk4w4lME8E29S9FxAkQzG7CeuhaGqcCpiMhCc03as9WbFs2LE54XE6aV9ocSfcUhk9lqovh4B46jj/ET9HO6r7y3lyVDFuEJmnJ+oY9UBVXTreG+IEJx4MibM6JHAeaiqmAeCXuQBIggInONd5cVgxg6NsYoBVqiHXdrCQ/gyXhAvosc9PI2HMaEprpI3Yig28GTwBB7G3XhEPIARJlgXx7A9ehTnR09gyCu4EbdHvw/qOl69+sM4HZzC1/jz2KZNvHH1J7AzfhwA45thvgjW9uhR7IRnsFNSx2JJiAXlb9plP57g7bTTCuvY7S0xwagq7sy1efJeVHledMeuQi7mEBax9rt6LnTyUaXst6mt4AZe9yTUbEjEppdIzXH4a98k9pz1yZxw0laEy7SfODvERh7K9pRtUz/SSfwJzMIhNsiUVkKNjUMW6RCLZttgk7QbuYhCD30RqhBI7DnIhJYEZl4J/bTTvlaRMz5CPfa2ZD0bMrYTe2Q0+z0Rh3GU90JpM7Tr1eyEUagnrmchEGeBzMqJr0aei52pshWfGRJDRGGOs2NFTCYy0l9EWouVQBGTkDn5O+L8RKIvFNkYR8LOgIBjgx76gjAQqjoJAwiIcLjXjwgFYTfKjgsgsCknCJmVKFQEOEJr6EFlkEw4VHUqMEXIEpeFl+MaejVWeQ1jGmM3PIceB5iSsndMXoxr8SpcJW/AI7gHz4++nnrNBQg3r78TQIhzuw/jrDiNRzf/AOd3H8ZpPI0xpnjV2l8GQFgJDuHwqjpP9OjaqxMb26NHsT16NPd7lF5nr6JF8lGLbFRYu6kXoxHBMNprFh6ppL0w2UvZapFc1BV05sbWCIvY2kV+m/Z5Dd3qJaGHwuPNi0IixrUM3pDMPnwIOfN7MnstisaaxJapcIgh1FJ0FkhyGZnwhT5XJxdZImBCrBvIhkP0fkB5LeIwhn4jj70ZyjugiVCj8IZez0JfJ3sNqcJcQIpExIjTSYlmtSWSfWjHtmd/zeMU1FkWyIx8xFqL2GsRHzY2O/VVJ1fKmzHhmR1BSlsxZYrSYpGUCx8GwHqPsdZTngn9NFWCIhd9EYdMZmW913rKu7ESqKPURzLyrJAatzNVNUMGYhbqWQ8CjKJj0uN35wy9hGfCTfSJwMyYssQa9dEnocSdvI4pJEaYYogejvA6+tzHQXkQN4vXR9csca28CQd5DVMKsY4BJE+w2juKw6uvwGVrt6PPPTxEf44d2o5es3F0ainh0OrNGIeb+Abdg13aBsCYyG2ErMIqE7mdeq9iwmFDk8qbyw/bDbZGnQvnapqmta0nmM7G2AtnRR8/Y6XMwD43tp0ramXeV60CW4biWqWFtUzXk7FVWq0za8PUn63UqVfpLJqb2julfaK2Pt2Gbc7Mj2y2l9lmWQGtWECX9CMakxSwspyEmqzlViHTZMe5KmdmLXPf7NTRVOEsrSInkBdKmgpMJesY/jo2jYuRZE9Ee8lVxnR5nTJrJgJHbd+2QlrZvmwFT/1U0+zzomqfMUJJ6AcSoZaqqTJP9Jv5TEshOV0vI9ZgxGJORGGJKQvIDBGKsz4CyocjoF9TvDetNgUDiT1122Vo35DJzb4fE5bouSJDMy4ZCMZYEgLSi24hKeGtzveIraraFAOh7ApS6amDiGDEfyuMolNS+yIWkCIKe6i01LFUFT+fHO/gRG8FE2Zsh1NsBMp7EZDKpukLwhoHEEToA9iaBjhJx7HD6vtuW04xgcSQAoyi78ARTSAhsQuJgA/goOghlKuYQIk9ppDosXqlztImnsKDOIBbMQg2cAXfiFUeAKEaF/IEZ8IncGj15ZjKEbbHT+CVq+9U8lwSWOUhHuAv45a1H8Z92x9KXv3zu/o5o4CMTky1YTk8FkTtZXuY4MHD4ftskCZhEp8ejKYHkzUKjaTsOOguivZSFhYp0ly4hj5cPBfZLccEw0VvYX1c7EovDIkQ5/UWJq9FWWzfY5ZI7tRRw75S7Yj+0i/zbKS0Ke5ZIqZ6CqZ247WXaCQKM15M3g3NQ2CrDGo7YTVGoL0m+RLeMxGkfn6Ivu9stkncpp9KKjXCMMvmmOktdI/IzC6Mj/WqplL7UdeW1lzE4ZuAVEZIIKKTSAlYiWpjxOSlTypzBFD/x8W0ACUGHUXpqlvTSJNBsxTXcxOl/1gNZseuTyRwdiyxNQ2xE4YYScYW7eLsdIw+EYYiQECEkWScn4YgArZDdSXbYYiAgBXqYSAEDvb6kAD6FGCN+piwhCBCCMYObWPAfazxKkKE2JRTTDDFDo2xQ2MIEL6Bu/E1fAmPyrsRUB8jTHCTfBU26Rz66GGLdrFLu7hE3AAA6NEQ1wa34ZWr78QqD/EUHgQA7NAIV9LNCNDDwZWbcHDlptTvUvz83O4DKMJyEIsCzDXttCbRcM8EKbddnm7qmWBU0V9YbXgKjVTVXbiQDR2umovcOjU0F0XkwtTum1wkthzrWxSQC+uhZ/F4xyPWbfZndopDNeb9mwmDWedg1lroN1Ldnk30mbUvBKdCItn/bUJOU9pp1suRrFH2Phv645CHLsC0hn209jgTJLYR24k9GURxSEImAtHsKaxxGW49VDLTjqjnvagtSyrilNM4OySMsj1mWSuUPI5TQGPE8+J9BRkH4iCuaSHVAWYDodJOAUUUNnrx/lXbbuSpCIgwDJCMjStx9olwZNDDahBgRQicDA7jWH8IQcCEpZqn1bXoEWEkJdaCALuhhGTGVqiICTNjh6fY4WnqPToqD+MAVrCGASYIsYkdjDDBKfEctmlTeTR4gsPBZbiebsf5ybO4X34eY0xxhp/GC+I0vim/jGfoEUwwxks7X8PpnfsRoIfDvIH7+Ys4vf3nuGf7g7hn+zcgIXHP9q9DUB+C+lgfXgcAOLByQ+p5EZaeWFSFV9JRg2g4r1mBZJjnNyAYFdqbFMZymutbd1HFc1E2tkg/kRpXkVw0SUM1YKYr0OcYPAKldSvsqarGdQuyRNIDC/QW2T1abBeKNMtOQM2Ot9jKkouiY9it11HikciO0cmFHvowk5EZCciepgrMsi7K62vM6lqov/Yj4pCpsJk9Zn2mjYiKVyE+3nxWIEv1654NRKGIjMcFM8+G6TVC1K88Dcobobwjs0PMploYBVCHkp2fimiueh5rHpK6G1BpoiMZv9aqSmeP1AmlcW2LzeksYySUSM4KmUgkqavqkDMl0JRRNc6V6FwRycDhXl+d+8FKjxELRFeDAKsBYVNOMUaIIPJMSADnaAuPBo9gSAK7PMUXpx+DgECPBBiMMU0wRB+HsIYj8gQIAkPu4yb6FhwLL8IQfdzQU7qLJ8UjuBIvw4M7n8BV4lXYoON4MXwk9XqPMIm8D4QDKzfgxvXvjd99jOUmzu58FcNgAwDQF2up50XY3xqLDEw322qnnGbmO8wt1EFk7ZZoMcxaCu1uYjhZ1DivTH+RaXc+9dSgnzBqN9rSXVgPHSvQXJSN1WHTVeTGWTQXulbC4UTU7DZzYw3aifL+fFuRLkI9YagTU7VTUJMTVmNdQ/7wr8onnSLt8rfNTwiBzGsLjFoG0+tQEUQMCOTOESk79KzYZuY0VkqTjNlBZNFlROb0cIaukUjZ4fQ5Isrm7NeOQeoo9OhwMQCIjycHqb/8dS9KQFLZISQ6C2BGRmICoezM9hDPzxKMxCsT7XmqlVfXPzLxDV0AmEK3OftoxQeThURRQayZh0a9XlFaKhN2k+qeqmjWgeh3acKEFaFSVlcClUq63lMhka0JMGHGKhF2pjMhZ/zx3Q3V+R9TyZG2QmXGnBj2MGHVPwpVzYsXp7s4JAaQTBhSgIB6KjU3+qCv8hCXhleCAsIAATb6F2PKISasqnIOWIU5BIQq041ncBxHIUCYAJggxDqv4NrgNvRlHwECHFm9HmtyDZDAo3EIg6d4Al9HiAmIBrh95UcQQGAip3iU1AFkK8EhbAM4vf3ngOH/IiyPx4J61X88wFu6qaOGookXo64OwzqvQnikaVnv2gW1UjYaZIy0rbko8mik1tH3YPBcVAybuNa3sOotkv58SMSEpiERF62FLUvElsaZ2ldm3WyWSFZrEWd8FIctisMHeoaIbW5ZKMO0jg3xjdl0tHri0cCMLMRhAdKISXx2CDA7jCy+8cdQ9S6UdyLrudAzT2Jyo3tKJhFRiHUWul3bvgP9R8wIxjT6yZYilxwX01LeC0EcnWgqkuqduo6iJxhbU0qKa60FStQ5CtUR6j0BbE3VIWXAzDMRCBUK6Qv1OBZ1rvZUqEWFQ2YFxg70AvSFiDQTBPVqz4qDEREmzFgPAvSj80MCEniJd7CKPi7rbaBHhD4J3I7X4iCt4HHxNO7FF7CCAVYxxAPiHpzDi7iEr8EW7eI58TwAYEohHqC7MaJdTCnEKgY4iIvQg0CAHob9y9T7Bsbm5Dmc3fkqCH2sYYgJpvjyzgewJo4AUARidXBV8prrj8uwPMSiDloiH23XtaikxyjZn3luxRBJU3FnXWGnq+4iZcMg6nSdn91TFc1Fqs8l9FFAOmzkQu8Xhi2WhEeM5MJW3yKZZCcXqXLbjiGRKlU5K9luUO7b9YadtWUUUxqInO51KNNa6G3qRyYaDdOc1NqakFNQPhVU1zhk9549eyQWdCZpqCRTtoKojsQ0FCl7s3RTJDqLmDyo12JGMLLpsHofQx27HkbpnzrxUOukEYc/1Nkes9oZghSRmEpKyES8PzVP/T+OwiIBqTLfyosBjEMl5Iy1EwRgNySs91TYYyqVB2MgZqGRWOCpTjvlZJ2QVeppLPgMSPVvRcLOCTPWqA9AEY6QGbuRZ3OofdAlq6PTdzlU2SNEuEJehlfgW7Aa3dPOj5/BxXwV1nkFO7SNx3e/gK/Jz2DIfdzMt+GQPIx1XkGfBL65/Sc4JU7jIK/j8OAqHF+/Hb3gIG7rfWe03hY+tfML+PLOr2J9eC1OhtdgZXAFAGC9fwIrgytwxcZbcH3vW+CKvU0sXOCBbNQiGr69GAU2zPOKNRjO6xSIO93m58lFKTEpIwsla1R6XqVCZ2XRZkWPhuUyS/UWBhGgbayz3qIAJhvOVTkzz10KZ5XuJ76pyfQF5/ZU4LWoA50c2PbkZidDuCweElObfmIpgKTE9iyrIq230MmF/sMZfUVcM0InE0WhndjjoIdD4nXiuhYxAiETjQWApNy3bY0eIQmvpAWhceYGJwW1BDGmrP7vC8ZQzMItE1ZnhEwkEm+Izut3QhVKOTeZiTNDRiQ2VaRChS1Un9JbzISuu6GMiAVBshKJnp5MIQCsRWU/B0KgR3FKrhJ1np6OMWKJI7SGPgXYleoEVQHgflL5Hn0SOBoMsSIE+hC4uf8X0OMAd4d/gm/sfgobg8sRyjE2aQsDBBiijxX0cSd/FswTPDa+C1+a/j4mvIPr5C04tnITNmgYv3sY9i/D2vBqvFy8AedoE9dFJOLFrbtwY++NOBleg+fpieS1ij0fNiwNsWg1vTSLht6NSkTDMVzShGDUEXnWCo/kbNQvjOVELgpu7KXpqHXJRRZteS7KQiKZx8YtGkIiLigMZ+gegmzJb0PYwvWgstmgciFnMtRy40+FMUrs2M8asZMBW4pooYBUq/BZFBIx7cWk0YhhOpFU3198EmlKm0KcIhf6iacxUgWxwAilyJGS2L5K2Zx5LtR+ZmmsOqlI/tezjLQQh25XUN5TofabD58ooWd0g2fCVEbC0YhUcLQngvJATCIPRmxzIJSXYrU3O7BM1aIgDEVUQ4OVZyP2Tqh9IqnCOWV1INk08lo8tj1KzhCJsRsydkPGQAicn0pIMCjyTkykxEZEMMZSQhDwUjhBnwT6pM4VGQiBKUuckttYET3czNfhGnk9RhxGVT8JK6KHDV7Fc4E6HOyilVdgKDZwa+87sMZruIs/ja/RXRgjBHMIoj5ODG/Ejf034mK6Fo+Lb2CVDmGTRzi+fjtWB1fi+v7rcbR/NQDgRVJ2B71LAAAv0JN4WNyPM1q1zRv7b8z9TulYEmIxe2Oqppd6TTf1QDRK4Ugw6tSl8E4wHNd2zv5wCY3k7JSHRqz9VTwfdQ8us47zRC5MW7SGRww3UUNIJL3n8nBEKYpu7havhd5m81rkbaVvVnl7MhXCcPFImDwBQHRDLThWPVtTo8i+KSSRJhrlIZwqHhBTxc2sjUQ3nIQ+ZGqe8jLMdBk6OYnrXQAzj4iuu9AieZha6lbE+5l5TGZeibhuRRhV4QxopreYSErZnmgiUIqIgjomnbQDzdT/8RXEH8GJJKwF6oCyWAQqGck5JIPI28FQHgpFSAhHoj/0L1sZgsE4NAAe3t5BXxBGoark2SPgyEDgkuEg8VasBQFemoaYMuNwvxe9JhwRC+XlEAD6JLCOgaplAWCN+hAgTKMQCQD0IXBxeBluDt6Ea+UNuFxei150UFlfrOGguARThLiebkcgVvH09l2Y0hTP86N4duuL2OYz2KJdXCNfjut73wIBgQGv4ks7v4Rntj6HM/Q8bhgo8vDM1mfx3NYXcGx4Hfq9E+j3TuAUPYsilBILInofET1PRF/V2v4FET1FRHdHP9+r9f0TInqYiB4gou8us+8bXglHDaJR2ZPhYKvq/Lr6C+c16pILw/oLJRdFmgtXctG09HcZubB9QkvCI9aQiElvURCqcPJaGOYWniVSVNsiYztHDizkwhQuyK1BFnJlWN84tyJspMV0xke2roXebyIjWa+KrmuIDxizVR/VRZySKSnzrb+GeqZI7MWIPRfxAWVh5DUQ4Iy+gZNTTeNfPY4ex/synYqanGia0VhIIApvqMeTuNJmNL1H8XkcjKGQkEzoCcZKwFgJJFaC+HVX+5hIJGW5pwycnxIO9DkhFz2V/IKAgLFUx6iPQtWmvBpq3OEBcKAnIBk4KPo42BfY6BFCCaz3FZEZRl9NA0HoR/UsVoRAyIznJyNsYxfn5RinwxHGkVciTj3d5jFekmPs8DRK4VWnob4kdzGBRACBAAGeFy/g+eBpfHH8YTwWfBM382twIrwId45+B3fv/g4ODpXocoe2cWr7KwiCQ7hB3oJd2saXdn4VZ8QL2KJNnJSXq9czOIqntz6D0xp56AXH8MzWZ/GywVvw6v534+mtT+d+t3S4eCx+EcDbDe0/y8y3Rj8fBQAiejmAdwG4JZrzn4loTvGNYnghHBWJhg8NhW6n6ny7N8JDeKRKaMS0fmZe+XoVyUWFuSnUORV1juSitt7CBSnSUBAmcQyJGJcoIjE229mxZTUvtHoOxtegKENEE1+WZYhkj1XX9RYmkmCzVZTtEt98kzAFOHWQWEw8sqeVmg79is8RyeosQqmREpLREeozD0T2VNIeyeRQMh2x9yIpox0dUpb9ldVDJTIqgBUX1IrrWoRRoSxAEZhpVBkzDpPE/ydrR54KRO19kQ6l9EkRjd0QGEbeh5iQDLQNTiRwoK/alRhTEQmGSj090FdjdqazqpynRhwdkR6/DoqInBpJvDSODhcLCBOpTjdVxIWwRj0cxCqmCLFOfYwwjbwsEjsYo48eDokBDgWD5Pj0EIzT4ix2McYQfQzRx2XyIhyXl+JVg+/GcXkpRlDltg+tXA3Juzi7+wiYJ9jkF6PX8zyeCp7GGm8gEBt4cvOTeGTrY/iTnf+Gfu8Ebhq+Bb3gMJ7Z+mzyutw8fCsAgCDQR/l9s5RYMPOnAJwutaTwgwB+jZlHzPxNAA8DeF3pLCJA9Nx/PMIb0XBcx4qmOgzPBMO6hsOadYiCD1FnpWyRor46p6LWIRep8fr6lkwR0/aM4RHTzTTf3ygF1YG0mLwWs04J1xRUMzkoTotV6xeQHYtuQ4d+hog+xkbYsjdyU2VNPXMjt0eD18JEcojS5CJZTwsBETF6QZjcwGOSEN/846wPIlXTItZQcFT0Kh6rn14ahztm1zLTWUhQ4nGIvRMJKYr3rGko9D0DM02FZJqdNyLiYmAqVZRZ2RpqhC5kJJqJnanANCIqW1OBnak6ceTcRCSkJN4PoNJLQ6myREKJ6EAxJKJQvZ5G7OWIs0x6kS5jO5y9D2Op2gVUDYydMIQg4GBfJOeUrPcCBEKlex7q93CoN0hElAei//sUYJu2McIEOzLEVjhRWSJyih2McUIewwaGCECYYIpnxIuQkOijh1UeYANDbGAIgsDK4FKcWL0FRH28uPVlCHEAzBM8P3kAqzzAdatvBkDoBcdwaPXleGX/O3FOnMElq6+Ofk8OAQDOilMAgDPiBXx+5/25373c72LpCDt+mojuiUIlR6K2ywE8oY15MmrLgYjeQ0R3EtGdL54eVVu5ReJRm2g4kozW61mUzDPP8aC9yM1vSXdRlVw4Z3kUkIs6uooixHOqZoqUfVrLQiKuKLiRF1W+rCzk9AhdpElkPkckBzHzMJgKbYkMwYnb9f+zc3SvhZQWjwlmN9Rslcxs+qltzWyIRPdw6GmdoeEgt+weYi9IXNtCF32GUiQ1KeJzOuJwSLaeRXzeyECEyR45SicViPUOMwKih10YiA73ShON+KdHSoDZJ05CGsAsmwSYkZxYFBr/BqwGjGHszYhu/PGNvidm/8dejlGowiWnRrMTTwdChU3iV1ClkqrHB/vqBNOJ5KimhrJ3pK+KXz2xM8ZEzrwWoxA4Pw0xkYzVgDAkgQlLTFhiU06wHgS4WpzAEbGKPsWET3k5JjTF8+IF3EN34sv4HKSq+4l7tj+Ih+leBAiwjTF2McEr+TacGNyIF3fux9Wrb8LK4HJcu/pmDPuX4rLeLfjCzq9gE2cBCFy18jq8HK/FEH08sfkJPLn5SQDAZWu3AwCe2PxE8n8gDiWEw4a6xOLnAFwH4FYAzwD4t1UNMPN7mfkOZr7j+NFh+YQq8Eg6ahGNiiSjECUejMJ5xhu+B++FLTSSafMaGikY7y0s4kouCm1UTDetKeasFRKxeC2cskRMbQVhBiNMQk5blojlhpzKBMl4M2whmFSoQ7eb0QUYtxzflKX5q9J0pHoyt2Q/Ze028Wa21HYMU+Gp7HxThkhyjaBUvQtAeSJybVqKa+IBIRndzCnlvZhpM2bP4zoUcVgk1npMox8dsQgTiI58FxyFC+LrUkWwtqJS3oKAFcFYCyT6Qq27EnAyjqBu/CETdkPCVCL5P84KGUaFs9Z7cRhKeTJ0IacqpqUOF9ucMNZ6hIN9wrO70+gY9VgPwjgx6GMsOcouoUR30RfRcesssRH0cPFwgDXq4dHwbCpFVYlZGUMRYJ1X8BJewLo4hhtwG06INVwiL0IvOIaXRo/jIfE1nBKnIMH47OTDOCiPYNg/goN8GJf1X4lVXsP1/ddjC2fBmOLprU8jEBt4enIvPr/z/pw34qntL0GIA+q1jf6/cu1b8fKV77L+rgE1iQUzP8fMITNLAD+PWbjjKQBXakOviNqWBw3JRmWi4cOLUdd7Ec+1zDOPn4P3Yt7kosw7UWS3Drmwtc9Db2EJiRSRi/R+i0iDPSTiLOQsQZp0ZNz/BTdkIvOR7IX2LVoL3a7JVpEmYvZ8prXIZqnoQsssYdDn6tcWj4+1FLZwiK61SF6XVGYGpTJFsvoJvSKnShONXxsk+oxedDBZSvwpVHuiyyBO/UoOgjCvi4DyqKibtVTHlkN5IWKtRXxWCJGmBUF8uuisimY/GgcAu5IwkgJ9UuGT+ATUYZRiylDhj8ODEC9NCOcnwEZ/RkK2p+r/9V6s11BhDmBWNEsycHxIODoIsN5XHg4GcPGwh62pTPZJoOSE04EgnJ9OMZEqQ0Sljyq7a4EKlxzo9XAyOIyQGWcmEzyDM9jEDoZROmofAtfLm3FFeCWOi3Wl7QDh1sH3QPIYfVrBZfIShJC4eOUWHOaDeJl4A1Z5kJwTskPbkX6CsDa8GtevvgV3BN+FQ6svh6B1tXdxAADh1uE7cOvwHQCAq9beAAB4fPtzud+7LGoRCyK6VHv6TgBxxsiHAbyLiIZEdA2AGwD8mYNFpNz/Lj8+4YloFMKHF8NzeMSb98Khra7uotCur2yRusTDtn5c89c4p6JHw7iHCv01iz8BQO54dQDGkEiWXFjqPOh9RV4Lmxgz3TbzWgCRULNAuGrNIDGQn6L6GEUEo4hcZNcuCqXEsOktgMhrgXxZ7zhEomdd2MI36mY9+2WJq2+q4lJhcgZJfL6IBKl6F4izN+TMc6HtQ9dWMMenkxL6kZBTQp0NEhBjEIS5SppxKCMmCmMpMJGz0uEiCskMBSf1KHoiOjY9mtcXjEmUHQIoAaiEIgYDoUIW41BgvQccHajn6lRVdQ1rQUwC4znRe0Kz4lgvjhgBUaTjkMoGgPWewPmJ8mYcHqj9HugJbE0lDvV7GAg1ZxB95g/3+tgMJc5PQ5yajLAiFBk5j10c4gMYoo+X5BhnwxEIhBXqYQqJ5+V5PD45D0EECYmrV9+Ei8LLsIMxHhcP4vrwOmzRLgQEdmiMW+lNCNDDLjaj368NvFr8BTy49Xs4Qy/hdfQmXLn+egABXrXy/ep1wApWoSIKj299BoLWcfXqm7BFmyhC6V2UiD4A4C0AjhPRkwD+OYC3ENGtUCTtUQB/U70JfB8R/TqArwGYAvg7zFzhlK8KcCEXVQ4YS9nOvCxyah6XgX4jKzx0LCYXbLcb2zIfPBatY+grnWeZYz3gzOVgM9N+DG3Ww8wKDhfLzTGNB6yHiOWuTe/PXp+tL3YNsKHP8BrN7GnqryqIv30BJN/q2fbocWprer+rfcGA1A4Y09p0VD5QLLFrmFfUl12PGPoBaEVplDG50G2mrqvGtVD0V7RkMtoqspc7lI1mqZvx//FbMTsobOa1iOdn++Jqlup0UmVbeQ5mb35MLvSDyogYPQoxlUFmrUjnEDuroHQUEgTSxsTCzSDyXIRMSRYJgCQNNSEwKb0GEq1GjxhMs1oTyWsQ7X0i1TkbvWjvAXFEBpSHIsk6oVm90BUxC7dMowJaiOwKqBRVpddQoQ8AUe4EorNQ1CmnExkdtQ5FQMZS1cGI99bT3ua4fPdqoKp2TiRwYsg4PVappQPRw6mRKoTVJ8J6T2Aq1Xu2Eqg1VwLC9pSxIgR2whDrQR/PjUfYwQRHaQ2CCBMOELJEQAJrIsCEGWfoNI7IoxiijwlLHMQq7tn9GJ4O1rHRvxiX8rVYEz3syD7WMMBd8tO4ld6EdV7BMztfgqB1BGIFXxr/LhhT3Lf9IdwX/56ih4O8BoDxmZ33gWgFAHDt2lsgIfHI1sdQBmKu8cXnGbe96hh/6vfmWPKiLuFI5rsRDaCEYOgoIBmldix93uZYbpzmsW5tOYKRHWNYMzWnbHzmeWqvJWNTz/XH2aNGbeNSj7lBu7YWG9ptWzM9zpzKmR8X9cc3Tv1Gqf81GrdH45LnqTF5G7NTQe194LTNrO3YbnKjzezF1MdM9nlxW+p5fmyqcFQYpOcma1CuLWtT6nuKfqRxPOXmpfaQuV7dc6Gnp2bHKlvq+UQGCfkAYg+CTM3NekQUEUifyRFqNS36QibkAYhv2HoYRtmIMzf0ncV9Sfqp1iegvBbxKaXMKvV0Iik67pwTUWjs+QiZsDMVGATKvzJNPBaU6DN2QsJ6j9Gn6KAzqcSdoQQGAXB6RFgJ1Lkgx4aKZEykCouEkSdjvTerbaHKi6u/J3ZD4OxYYr0nsBvOyISAqt65EhB2puokVLUviTCiL9s8xoN0D27h23C8P8BIMrbCCQ71BlgNCOenEh/f/W28bPAXcDEOgQCMOcQUjMeCR5Uugnq4afhWDHmIEY0woTEkJAQEVngNqzxEHz0wGF8c/zZCuYNArGIangFAuHb97Xhk62PoBcdw8/Ct+OrOR6LfgV3tnQnvYuY7YMAFdWx6gqy3oyrR0D0aJSTDlxejjgej7pz8MesZr0DhWINXxNDm5ImweQJcxhd5Lkq8HOl1Mp6L3DnmhnGpx5rXonI7zJ6LZM1Zf9HW1NjIS2D5iz+G6Wj02GuQticBKXKeBauN5DLMx4yn92A7Lj3ttYjDFQyZIhdWu5rOJCYMRIxkOxkxpwxN3oko9JLxnsyOj0+X086+1ukTOmc6BN1rQcSQ0hLyjL0QGQGnXn9CHxMIiVCqDI5pRIooCnWo48+jsIaQquAVxd6INMEKhIyOcKeo9oWIPCSqYmcQxOsjCY+E0eunX1tcNCteJ/ZOCAAy8kJAimSd2OsyiNaP61vErxuRIg2DKB1VERaVOdITSpex2pPqlh29vytB7N1g7IaECSnvxJQJq0JqEUpFXDYnqhjWWCoyEXLkuRCKdBzsz7JMpgyEIbA5Zaz3BIaBEnmOJUOywLnpFAf+/+z9Z5AtyXmmCT7uHnFU5s2rSxeqUBAFoFAACEGAEERRgiBIgAQoerqnmyTaltu7s2a7a7a202v7Y8bWbM3GVtia7Z+ZYZNcgtOSCpQAqLohGyQBkEAJFFACqgqlr0pxVIS77w93j/ATJ+KcOCJv3Sr0dy0tMyM83P2IvPGe73vf90sU1gbTL4ECBmnC1P/dp0byOvMmEiG5kuc8xUVOsQfAxWnOJTvi3Z33o4RgbHIm5OQYOiTcoG/mlu6t/M3433EkD7nZnOURcYlvj/6z+zuxhrf0PsR1asCfHv46QvZ5e/fn2RdH7Nkdn6FI+ebwrwHF2zof4AoHvGLgGpY9dPQn/v1wEm0u1r5HYXm19uqEACuTtb62EptwOFbgZ6zExVhnjlW5FOGatuNr5aE1Y7dF6qysN6cyOS61yKJ5NnXn3ITMuehYvLUZjkXNuJjIWVyzgMg5s8aCY7WEz3rexLrdT6uyzznCZg2PoM6au0nN0ZZrUbdmdewiMuYyjkV8jWzca0niDIqOAGrCDTkQPoOMVHrr7gAcYk5F4UnhyyzxGplRxTXheAA3mZHuvC9TaCOYauXGUJZhwu/hK/hVBB5GHHGvkDAu9+BReW6FazLmyhsuW+EweeCA9JRxoMK6TIIQzgOjp0pAdyo1DoQIJzedGmcTbnBcioNc8LITZflkmLvShxRwkDli51Hush2ZgWfHmiuZYWqcEPQgc9mJE6nkZMf1AukriZKQW8tu4kiZR7kmM4Zv6ouMTU4iJGc7CSdUwp7dJUcz1Jqp1TzEl5hYXZBDj8TYrSWGJEh2RZe7+z/LGX2Woc05Y87yru7P8dbuB91jECMesk/yip33AvC50W8zEeOi7PHa/gd4xeA9gObzk98HHKB4ePjnCJ+LeFf35+bej3FcG8Bigzg24LEp0Fi45xaEz00BRsM1jeMbAEb9+Pm3TS24aAE4WilGFsWmapGmsYsInG09LlaNZWTOdS2/i2PN5MaZZVZsr956jmLtBUTOuXnqgIyZP18hVbbtWDqTUVggD130fM1kIWQzcIjHN3lK1MpIzSwRs+qxARQKjXjdcKwkYXq+Qw0BVTdkkYIbZ3DttLZ8G5Yt2im+K1Fahju773INiVN/hJ+tFUWpJi7lVEFG9Zgrp7ifw3chPFnTZzcAX7qIr3N7vDx1mR1tBUMtikxDGhKZ1gGJVLq26ge5g1l9ZTnfc+AkM3D7rgMTAH3/X3VmLQc6Zy9VTDQMlKArBU+MJwUx9Cg3KCEYac2zE8f0mFjD0OS+1bn7P+rpyZQDnaNQaAwPyod4UD7AbeJuLotDLpgRB4zZsT2uV7v0bZe/z/+SS3bIju3xoP4s++LI7QvD50cfQYiEfXmJh4Yfp2cH/IAHCBlTQPHKwXuYiLHPTCje0f05pmIKwGv7H+CVO+9DkPCkfK72/RLiRV8KqQMXYgWORBHxDalN6SSs27JU0lgmWbdEsqQ80nhN23JKA7Fz6ZxtSJ1LCJoBjBTXbFoWaVMGqY6Law+NZZAVSx9N0aYkghszUxIJ18XX15QnynHlua2WRGqiWhIprzdgo/mKAfNrz5V15GxJpCiV6PrSj5COxj9vjjW/t1AWKbqJRo+tqewxUyoRBinljGlWTOQs5o7mCfuQ0hZvlxiUFCURSl+JQLyMz8cRri/4FERgxDrpqNFuzjCX9OWNwGHQlVILxs0jsQUHI5Gm4G0IZo2x3LouUl/ikJRKkdRnWKrXhOcq9xmG+M/ARnsjOIdaQVcajnLlyz+WqZZ0Jd4d03hehOHpseJUatH+6ktTwV4Ku6n78+z5bMbFifOfAMfXOMoNpzqSsXblkOu7CZnfWCB6XskMHaEYatfh9EwvRVtLXylya3kqG3FKdTmRpIx0h8wY9k3GQCScSBK6KmWie9xsX83IaA7sxCk9mNAlJcfwpN7ntNjhTOelHHHEbVzHW/kx59iJ41ck6ix39N7OQ4eunHHv8D+494k84QmZiq8f/SngDc4QPC2f4+tHf1Q8z18/+lPu3PmpmWN1cY1kLKr/WW1ZTlqJjTMbq2QyViyTNGYJWmQwFu617TWrZC+2KEnd2OtixcxF47l1sxiLpKzFz1sqiZQfCdtH27EblESWzRmXFoob9yrZioYsQF3JIi6VFCWDqPtpdeyslLPyPqs4aM7Zay/K/lTOLWqp3tScrHpddXy1f0jgVFT3GMoiM/vxTcaCR0XgWczsL3LkLPcV24K7rEZM7AzKDW1lAWaCkiPxAKAoifiW7eAUIQFMBJARrgt+Fj1lilJJADuBmCmxTI0kN+54Zh3Hwj0volCZAN5AC0Zauv4dwnEzBLCbBC6GAxpKujLI9b1wrfv9hr6TloY/1aF2pY+j3HCu50DQTiK5ZeDAhCV0TRX0lSARgjOqi8TxJ5SAE4lCIvjL0W/zzewyT4wnXMgm7OcZB3ZC1/cQuUGe4KTscUr0OSt2+bp8GE3GWXOaK2aMQPAV+xl6dNgXh7yu8x7Om3OFygMgTc7z4/1/DCjuHnyQV+78pH99e9w9+JAHGu7/1lzkvHrn/UtBhXtfXStRvVnX8R6avrYQawONVfayAshojAUAY+vlkTZjG3gXrdZ/HsHFRh1RQwg5WxZpik3AxSohy20tOr+wvXp8fsUeIW2blLm1DY3GWU1ci7qhDTf2mFQ5czzOaFRKJkJYYpvv6pi5G3rkoVG330WAI957fOOPSxZN1xelhSjbETIMQNH8q+p7oSuPPf5ZW4k2gtA/JGQ0UlnKU7WVEanTNwerIbgq6ay9lbAkETCAklsBFBSfJGpIFiJkRHJb9h0ZalnwOMZ+3di6uyttYYwVwITy5ZmecuN6yhQdUpWAS1PpXC4TW3AswJVGjHUNyXrSkTy7yu29I53qI7dwcWLZS52DZk/BDX33804iGWn3Z534pKQSgvPdhKPccmHqjLIyYzjVUeylipv6KZmxPDy9jMHyY/1/xi59/oHPk2HoS0WXhAk5T9h9RsbxLJ7lAAHcru/gBvtSxkyRSB5R32CcX+bb6ls8PP0cl+Ul7udv+bH+P/PgQpDrK3wT18U0lEAECe/u/RNO2V3uGvwMrxu4csmDRx/lwaOP4qBXMwE8vLYv/DgG4LEx0Fg6bjHA2ISDsT2jrBWJncvGteBdrNVGfdH4bYGLNuu3BicNf5R1x9fMWtQSOWfmbXfzWxS1/IZ1iZzVrMOSBmUx6JkBEQu5HWUPkaqiY35svV14Hb+hCQhUDarqwlqBMXKxUqcCdOLvMYAIzcTqVCMFeTLKPFRLOKrmeYj9MSSO5Onm8+eZ7U1SrleWKsoW7BTfQ/YhZB46StNRmlQaOtI48GAkic9ahH4hSrrW6P1Ek0p3LDfCEzTdOW3d2haXxdjPFFMtGChTgJeOtFyaSPZSt/5Uu7ECVwbpSDjKHUcjt86ds+czHD3lvq7rOVAxNbCbCC5PLftTl43oKRhrR+58dpL7Rmnw3CRHCcFAuRJTXym+PRpzlBsOMvc8vaJzirNJlyt2jMbwRt5OB8UlM2ZERtc3G9NYDk3Ol4e/w3P2kD2Zcsbu8qXRv+fvsj/len0T35/+FBN7yD2d99O3A17GG8is4T2DX+LlOz8JSLrWZTAcr0Jgyfnk6Df59Og3eGD4h5yxuzOv7V2DD/K6wS80vl/j1/rFHVsAGyuDjFWzGI3rrgcw1lWPbDZ2zdJIDbhYmImorLWJQ+dW3Dk3sf1uBVIabjoxuFgEJGTDz4vGhSXqMg61oGFDImftyQZwMTdHFaiYmRvnIkdOmFeWwHw5pBqyAnDiG36Yr5pNqdp8hzGyoYPrLDCY73waRyiHBKttGQEPJUuHzFAOKSShNnzyN0UZowASYY7I8twBk/I5SKVGCOuakmG9u2a5z6mRnjRZgpiwvsRlDoIzZyzTTaRhoByImfhMS8c7d058uSQzTnraT0zhsNnzfT4S6TINqbTsJIaOshzlip4y7HilSEd59Ym07Ka2yFxc1/OZKP8YxtplPibGu2imhp3EETtH/lxPwemOe2IOc+M8MYTwx12Wwlhn2Z17e++BEgwSwZmkw5HWJMKRPy9mjk93WvY5pbrsJSkDlXBCdJmIjAti3z0vZAyZ8IP9X+ZmtcfHjn6dJ+Vz/Ojgw9zQu5upyDiluhzlFziyGV+f/Ef3mmN5hMd5dPiXvLn389yhzvCD/V9GkHDnzvsBwV2DD/rvP8Oz4vLMO+2B4e/PgY1qXBPAwi5JqxxLbAA0Vs5mXC2Asep1W8hezI/bDrhos/7sGiuCi5lr18xcxNEWXBTH1+RbtNlOXUlkwXW1JZFlXIuam/b8xCvwJ5Ycr5u3VQfTSlhPvIy5FnUZlLhU08TJqGYuyvkXlW4WZ1Tq1lk0PjazKrYfZSZyrdBGRr4TLrTPkgR+BIQmX4Zcl5wHJZ3UNJW6KL0EhUi8XuI5FuXz4L6nUffYwG8oXEd9hiFkNEIWKfP7BZdw70pTkDxNMX9pohXcOKfGlUvi52yqBVPtGo4p4Zw1x1oSFCxjLZhql+XJrOAgc/Ok0nK64/bWVTDwnAtw5RPXZEzQVw5YHOUOiJzuws0DyVBbLk81xkJXuT/fQeLKKVdyzUhbMms5yg1HWhf9RAZKciJR7OcZT9jLXNYTRtoBrFRKblOnuEOdQ6G4IC+wSxeN4ZKeck//l/nW9AtctiNepl/Knt3hAb7prkXy9s4HZ94/Su7Qp8NXzeN8ZvQRXrnzPs+fKP+zeGD4+zww/P3wjvOAgwLcNMU1ASxguWz0WH0sYGtAo/UajWM2ABjrlkfajm8LRLaYuVg8fgHfYtn4bXhcXG0yZ3Es+lksBuULKSBNn+SrXIz4Br6IyBn1EWns99FQdqidb4WYAwnVTMKWSj8l+bRUZsRZi3i9aiv3cq/z4+OIeRZzslQ5q4QJN3sZl0uiVuaJ0nPNzuJyiPIlH22dgsPasqmYK6e4jEVmVDE29/1CYmmpkqY4734vz2VBpQIz4CKP5LDxO6DMpohiv8aKotFY6ssnqd9n8bgQRVbjMFOMjXssife62E01U182CVyKgbJ8d1hyNs50DENfAjnKXbalp5yl+DNjVxIJIq4LEwc4uh5cfPso49mxO59K2EsVl6eWK1PHgLkwcY/yfDdhP88Ya8uJRHK+m9CVkiOtGWrDN/LLpELyUnWGU8r16TjSGYlwvJCR1iQIrjfXcVEc0kFxLumSCsXrkh9xNt8YTqoOrzS38Wr5A8VzdFle4jPjf4NEkutLfHr0Gzx09CdYtAcVjsQpkQWICHFP/8MRyFgc1wywWDeuNR+LrWUxWgCMxlg1e3EcpZF1zbRWLYvUmGgtnL96bWV/TedaAYVFd/FVMxdLx0bHl5RE5vgWM5mMJTfaReCiTUlkhqewxL8iBjrFGgu4FtFNfZWoEhfn9mJEuccaEBCPrWtV3sS1iKNtS/USYMiZY/F+0iSf6XpqmS0rxMRQcLbecSkkXJcZVWRB8oq/BDgb8Nx4d00vLY19LWLjLSgBQuoBR/xKhXkD0AidTd2enElV8fzhSibTSDESIpRvUmHZ8bwLcFJS4dexBPMr6XgZ0ilLMuOalN08sGVGI1KkTA0MteDixB0723UW3kc5nnhpeXbsQMVhbnnNyZSj3DDy5092YGosu4lgkMDZriwaj51MUoyFJ8cZE+1InGfShFQIbhB7WOBKPiUzhlRKRmTOPMubYYzISJFcz0mkEHxDX+QpLjEWYySCc0mPzBj6SnFS9EmF4rOT3wFg0LmZ2+2NCNHhlTs/jZQn+MH+h7lz5wPl64OZAxGfHP0Gdw9+HoD7hr/LorgmeoV83+vP20/9xc9ctfXW8rGIYwUL8NZrLZtzwTwLrcIb/C8ar1mph0hdD5B2vUbmxi35fdXeIiuNj36e31f9uIXnbMPxdfuJzK0bjkfH2vYSqb4UxXGfUo//466cc/PI2WPxDWDLfUTa9hAJ887ZZxtR7iXcyCoqhriPSLXfR9hL3D9krs8I/uZVWSf+udpvxPEJZNE7ZGauuNeGFdH48jmqXjezD/9zIHFqbz0eJKjTPClKIsYTR6F0qwyAJFZ7zDhuYpmapAAWISS26BOSRXbkgT+hhCGzzqciN5LcOjOr4FcRyiABaITrAjAISpJEOOWHk5aWvUPAcSAcIJAzclS3JzHjv5FK67MSrkX61AiGuesdEv6SjHX9RHrSMjbuXOb7hYRW6kNv6R16jUgReovAUyPLIHE8kKPcMlDClz8shzrnVJJyMZtyOk25kuc8yz4n7IAUyZm0gxLhtbTFz1eynKnVTMh5SNzLCXkdN+ubEAgSBJ/PP84r03cQx2V5ge8Ov8BdvZ8AoGu7nJM7fIMneHj457xy8N6ZbIV7P5TAIoCJOByw+C+9QmZiY9Os+JPtEkAQr7VwjTBn03wLDLcWmmyJpBZcLDTWatsBtWZsY6+RZWZa1bkqv9eaaEE5psZEa6HpVsP+ttYNdZvmWZXHVq5PvXFWOB6dL7YUX7P6h/12saZpVtuomxfKGj3UEzLDGKjPIhSZCDNPnLT+k33oM1Jdr8icGDlzs6/ubZH6Y1GPkXgtZ5glasfH40JI4YyfjBV0kpxMq2guX/7AkvtyRwwkQonEFNmI0lxLEXwqQEcmXYFv4XgYEutBiKT0t0iLEo4t+BNT38skmF3ZYg+uDKI9/0IJi5QlADHCGV/1lPersG7+YM+dFkAFjrSkr1yGoiMtJ1IPNISTlmoLw1wwSAJxFRIJHSiaje0k7vqJdqRNbSl+BjiRwrcODed7kr6CS1PXIv10F747hN1Ecq7bQVvoqg4dKZgYxfXmJCNylHAN167kGWObkyI5mbhxqZRMPefiJl7Oab1HKiT3i/sA+IHkveTW8g35MM+Mv8qN/dfz2KEjbYYsQ5qc563pT/PQ6E8QojP3PsxFzoNHf8hdgw/xwPD357ITdUCjGtdGxuIN19lP/cWH1p9gSWfQdWKtrMY2MxkLO5Ou2Ql1C9mLtmPbZC5aZUGOM3OxIAPROnOxKKNxnJmLZVmL+JypbMfUjIH5rEXduRgULMpagLvJ1nRJrWYtZrMAzecWZS7ifc2BiyVZiTjbMXe+sre6rIVpmqthzpCxABqzD3EWIoSTpUYZDTMr9YwzFjGZM2QtAHKtynbqPmNhKNufh+xCnMGYRh1dA8AIfIxgUJUZ6bMH5Zq5lSTC+EZj4dP3vAzWWsHEAwYoe4LERlkzoCKMi0o2mSdcCmELvkTA0FPjsg4mGjfKZQE6lHfkNMBBJnwnUvcMTk3kKGopuBY39C3DXBSOm+CMry5MLGe6orD6HmvL2a6TpPaV42VYLKlwfheZtWTG7e1EIp3sVGecUCnSZyk6UqCt5clsyL44ZM/usisc9+KCPeS02MFYy0Al/L29j+cmD/Gqzj10bZeTok9XSK6YKZ+f/B5v6P40u/S5JPbp2i7Xq12stTxmL7rnVOR8bfhx3jv4JT529GvcPfg5BJJb5WmOdDZD2rxv+O8bMxYveI4FUJIWq18bxFpcjRX4GK2Ino3n1uRfbIHY2aqRWtO4dTkX0bGNCZ0Lxlb31uq6dRQk61zTNLaJyFmTjdhGk7LWXItizQUfXJbISJdePzNuQfqlxmdjnlA5T7qM9xiPq44p+nxULL6rBlWz85gZCWk1mxErPuLrA+ej2j8kgIXSPMvMNBKLx4ZSSOBlJLIE0QFUBEMtbcoMhfDunB05/wGl4Gx4F83Av3CW4Q4cxL1DgnmWhKLjKbi3W6ESgZlyRsfLVLMIeITXMZWWiXEKD+sSS56U6kBFUIRYf91R7gDR5UwW66TCZTCUgFTAfuaAQ0fBQeZ4E5engrNdeHbsgIYSjnfhGqHBWQ8qznatJ1panhwZhjl8+cqYw9zw7fGIb47G5NaBhgAglBBFySOVAmMtI625nOUc5pouriFZl4RDO+Hv+QIP6s/yDJc5ZMKRzniZuZPXp+/hpD0BuBbsfz769+yLQ14yeDtfHv8Rl8Q+ioQeHT4x/HcM/QdVl6n4KNZOeNxe5p7+h7lv+LtYDH92+D/xydFvAC7zsYxj8eIAFk2xRcCxlrx0qURyyXzL5lkAMBoBwKq+F63JmiuQOtvMtSA2AhfrKkU2JXO2ARCrqERWMc5aROSMf16HyFmJVt1AV2hQtniexQTIsrQxe8Nvs58qQXJmbzVrBXVI1dci7EOqeq+KpvVCmaB6PkTwwoiNsmL/iphIGQDHHAel8nsMKmJjrHDOEjgPUW8SEfbmEmaJmn2OgrJER/tx/AdTrK8iyWnIgCTef0NbMQMwguV37sfJ6HGcSHThUyGE862Q2KKleVcGkqjldNetf11PkwjLUe7AhsQRPQ2utHGm44ieJ1L3+9mua0B288AU82pbfo204184MijspdLbglvuGPS4rid51c6AGztdpsY1I9tJBOc6irF2XIpTSQeB4EBnDG3OXpLQV+7/ohOiy45KOSG63GZfzXWdV3KzOMMNaocdlXIu6SIQZOQ8rZ7gpOzxjqgTqbFH3D/6Ew7FPp8d/SbGjthnxEvkWV7Kdbx652fd60A+AyRCLAMUxftz2QAhxG8KIZ4RQtwfHft/CiG+JoS4VwjxUSHEKX/8diHESAjxZf/1P7XaxdWODYHGtrMYraWqjecWA4za2FL2Yq1x64CLbUpR1/WtWEde2sbfoo0ZVu2aS8YuyUys7G1Ru8aCrEUkP20esyBrMacEMfVjCyAx3x493kcxvK3RFlUyZvMTUacOaYpY6dFkfFXnlVEnPQ0R9wdJvLGUFLM9RELElt/Kcyzix66EKWSs2koS71iZSENHldmNIFfNjTPHMrbsFQKuwZj0pYYAJsLjCKURUawjimxFeLXKsg4FaHL23M7KOvFjEw9MDnKFwZE4wQENcFmToZaMvYeFEjDK3Wt5lEsuTBRnu5p+YsmsqzL2lCGVlqEW7E8lA2UZ5vDM2M29n0lOdWwhLZ0a6+3DnaHWhYktOq8mQrCbuG6pmYGnxppEOvfN3FgmGi5ONdpapr7ceTGbooTkpOqQW8tQ66IMkQjB0OZIJHeaOzgwU57SR0yN4Uqe8Q1xP31SbtG38p/1J91rYVNu17fwjv6vANC3A6cIEX326POIfZKPHf3P3rLbeuKm4K6Boyi04VXE0SZj8VvAT1SO/SXwWmvt64CHgP9LdO5Ra+0b/Ne/aL+TZLWvbcaaQGPbWYzWGYzG89vLXjSu32bsNQouWo/dhu1347orlFGuprdFTdaitbdFcUEzSFhkyV0ds9CNsykWZANmhlXG1f3eTPycByixn0UctQqVyjpzXVQrICJkDsJNvpo9CaAkAIQ64mfVfDDMVcg9I05H6AkSdzztJjnB20KbktNQD1gciAit1kOJJmQtQoSupeGr6GiKl5VqVTQmMz5jEbIUIYMBzPAyxtplMrTnULjHin+MIUsCHVU2Juv67Eoi4eK0JLR2pQMce6nhRGIQAjILZ7qWgf/v8vLUkTxDq/XdJHBInAz1KDccZY4/kUqnFDnI3M839BS5sSgJPeWu20kkO4nkRCpRQnCu0+F8J+VkKjHWvYovkWeL5/Bs0uUEPZ7iCl+X9yIRdKTka/JBbrOv5mTiSJnD7BkuiX0ykXFRHPKkfKqYo2t7vKb341wQ+3Rsx2crFHcPfp67Bh9CoLhNnCvG3z34+QJgLAMaS/9ntNZ+GrhYOfYX1hZMwL8Bblk2z9bjOEHH1QIZS+Za6/otZS82d+C8RsDFmmMXgouGcVvzt2hTEqkdWzd/w88Lj63Ia2hhmrUw1uBhLLL5rnXVXLKPGOgEDkVxg5a2+Ao9RIoSSFTiiL0iqjyLJoOuObASlURCxmK+s2j45F9KT6t9SZQsORZV/kUIXVGwJFIvVq3gshZBchoec8yDqM4bbL+DYVYiTcGtCEZZTj7q3oipcH1DlAdLHaVR3nkziZ+TsCcPNjrKMFCmkJ/mxrltJtKymxjG2iktXGbF79M6ZUgi4ExHFzyMzII2cJBJLmeyAEXPjh1fwwKnO3CqY4osRdf/F5EZy6mO40pc1xec6bqfx9oyNa4nibbQUU6GmlsYG0NmHNHzyfGUy3nG09MJX51e4P7JBS7qCeBMsg6sc+IcaU1fKl6qzvAD4i3cmOygreU19jWcZMC39WXOqD7ne6/hBk7zqP4Cp7wNt7Vj7h/9CRMx5r7h7/LA+BOctXvF6+ekpn/Aawc/y+P2MncNPjTDq7h78PNXhWPxYeDj0e8vFUL8gxDiU0KId21h/tVjm4BjA5CxfJ/HDDBq51yQvWgYX7tum3mvBXCxCZmzCVy06QFSPd6Gb7FK35DGbEZYbzHgqLX7XkTkXBarEDlbZC2aJ6khYq5Q2oivbXQHja6fmaPiaQHzmQhjxZwTZ60JVyViEmfd3puOh+tk1Gk1fNIP+4m/F46bvhwSXxvOS8qyRSBjWuuyFK67qKQj82JMcOGse95CW/YQIUsRfjZWFIDBzeUiNs0K2Rrhf858c7KCoyHcvowlOubmGWvJUEtOJBop3J9FoeIW3r3T8zG0FeylZRZjkBh2vOz0sSNc6QPHnbDAkyPJUe6UItrCfuZUMa63iOAoh8tTy07iOpye6kg6ypVD3ONyZZRzHcXUGKbGsKsSelLRFYozdpc71Blu6vTZTRRn0g7XJQN2E8VAKTJruZRPuZdH+G5+yFe4H20NFsuu7TPUOW+Vr+Mvh/+K4eRb3C++yKt4Ce/sfxiAgd3lnf0PY8wBnxz9Bg8e/TGv3nl/4V9hMNw7/B0ksshWBICxLGOx0cd7IcT/FciBf+MPPQm8xFp7QQjxJuAPhRB3WWv3a679VeBXAW69ZXFDk61F9Wa7qqQ0vvm2kLhuy8MizNM4R5NHwxLvizlJZXh8lcfW6GFRs+el/hS1Y/wdLZJTbsXnIva4mJk7Glvnh9HgVTGzpxpvjoXHgUZ/i7qI87jrRuxtUczLYv+KcF7aQmpZEP9qzrUK72tRu8XgaxGvJy2Y2TJBqxAWaj5xF74XwV+jQmRc9vvMXJGnhbWimHtuDv+4ZmWti30snD/FvEJECgtR5gLmSy3lHAbj5aEBJAhsSbyMyivg+BjBmEoKi/a9NoIjZ+E/IqIupVYXRExnNqXJjCpkmXGWpfDB8M3IgkcFUJIy/XtDhsdKKSUNIEUb6R00S1uujjQMtSSV0FGGqZaMdalCEQgG0iCFK3X0lMtIgOuIGuSmBgcGEunUNn1leW4iC5fRsRGc74G1rv36QSZ81sLv1bjHcroj2M8se6k35DLQV4JLUyc5Pcrdg0wlfHeU0ZNB8urKGKc6gtzAN0djvi4f4FA/y535W+mSclL2UEJwUY/YFV2UEDzNFfp0eaW5AyUFHfNKMgwdFE/IJ3i5vZVv6IvcPfg5erbHeTEgt5a/yz7GO3r/mM8Of9O/CuG9nXK9OQM7P8uDRx/lgeEfck//w3xy+BuA4J7+h1tlK4B2PhZCiNuBP7XWvjY69svA/xr4EWvtsOG6TwL/J2vtFxfN/31vuN5+6j/+4/qTm7pkrhrrrLeCj0Yrf4wFHhZr+180XLcVz4vWDpxLvC627dC5YP51nTnn9rSqv8W2vS3i4zPHwno1x6KfF3pb1DhDruptUfWSmDlmK9e3deOs+FnM/Rz5LlRv7GEvjR4TFQfNJl+L4Gkxv18x48RZ3YPRletsOV9c1qhTcOgKOAt+GE3XBSDhuA5y7nh1vlyrGYCkIwAVkzKDMiQ0Ngvfg99FABmA63rqAc7EqALEBPmp84coAY+BwkgrjNOed2FwpZIAXDKf7QggxNhSgjrWkq4ssyCZ8U6fuKZkQrjmZgBHuWKo3ePrSIsU8bpwcSo427VcngrOdC3agJIw0YLDvPSvuHkgvFsnhZlWT7nsyUHmSh0nOyK63pl57WeavlIFX2OsLac6krG2fHNyiERwwvtWJMKZZOXWkhnDkc0QCHZlygUz5DvyYV5r72YgFVIILuQTrogDDuQ+j4++yOs672GPPjmWz45+EwApT/DO7i/w6dFv8brBzyGR3CT2+CbP8ODRHwPh/zsBBbdGAPl2fSyEED8B/J+B98egQghxXgih/M93AK8AvrHOGuUOrzKhc535ViiXrNSsbJ3rV+ReHGdpZNm445CiLhy7Sk+RrTYba1ESaaMSWcnzIqzXsiSyhGsx420xN0cL+elCsucCrkYdkVMYEGa20dfMz/Oyzzry5KLf5/YfooncSgkSqtLT+LyoyERnpm7w2AjHYoKmm0/OXFcFFbH0NByrRiiJGCuKkogQs3bdxgoS5UiM2sqCENpN8gKcGFs2JVPCFPyIXuI9Erydd+BXVMFVVQETeBYhw5FK482sSlltKkpLcPe8Qz/RnttRSkCDKVYiLR1p6CeGnjIc5YpEWvqJ4WxXM1CObxGcOiXOw2IvdYZZZ7uWK1MHSoa5YD9zoGKs4VRH8MzY+tJIefvNjAMdiedhDL1U5CizWCwHuWFocnJrXcdT/5Z5YpQBcHO6U5Q/dhPFTqI41Dmf05/lih2TIumLBG0tEzFFovjr4W/yV9OPcZ/5Fp8dfYQHJ3+FRWPstCBxPiOfRYgOL995H8Yc8OnRbwGa+4a/jybnCbvvshceVNw1+BB3DT5YqESqDcqqsTRjIYT4d8A9wDngaeC/w6lAusAFP+xvrLX/QgjxIeD/BmQ4oPjfWWv/ZOECLMlYbCO2kfVYdY6WWYyNHDiXXb+N7MW1mLlYMucq2YitOHMedz+RdRw5YfWsRXx+3axFrdNmdKyhj8hx9BBpyj5U+4fU9f8IZYxFGYvqHHU38Lk91IyPsxbAjPlV9buOSjlVKWzViTPsJchGwyd9XZNN0ZUSUeGB4W27w1xx5sIyv04AJFOtCq+KkLUoxzEDXICi7CHBO3WWmYvAxQhZjLjHyBxx1B8zwFQ7D4mseIyCUx3NWLtsxzCXRSv0qSldOMGBkVEeyioOKAQTrNAvxJE2XQbjwkSQSHdMChjleCDmwERPuUZkxoOd/cx5WBgLJztuf2NtGeaWi/mUc2mHVAgOco0QghOJpCsFuXXSVm0tQ23IrEEheIYDbpUnyazl7+zf8LookTAh5/Oj36ab3sgPJO/FAJfEPgaDRGIwKBJO2V0+PfoNBAmvHfwsAsm9w//AXYMPoUg4Y3f55Og3cc/G4ozFNWLpfczAohobNyHbPsjYBGAcO7iA2sewNrhoNWbFssgG1t+twcW1XBKpAyGwGFwsAhYz4yo315pzbp4KOFgBWNRdvyqwqJu3zq4bI0Ga2ZJJXE6osQAvHn+N/Xh1XDhm6vZQAyyKORrsuqtAoRwzb/E9s4aNSZzzpZC6n8O8oddHMMwSYrYxGZTgo2h05vuGBGpP1Tk0BhPaVH6P9pxHJZxwLvh0aOtUJEFVEgOWoZYk8VvNurdp6BMSGpmFbAZATzr5qbYOiHSVYWoCmAldUQMx1PEwLk8dSNDWrWH9WgPl3D8PM1fq6EgHMAAy62y8HZ/D8uR0zHWpM7M6kQpGuaWjBEe54TDXnEgSjrQms4bznRQpXOnkcp5xgUNulScdQVRrTiSKVAiu5JpLZsTfjv4Xzu28kVeZ17MvjjgU+3xr9FleMng7B+YZ3iq+n5HRpELyHye/yzs7H8QAl8UhFsNpu8cFcZmvjv6Ed/X+KZ8ZfYR393+Ji+KQTEy91wUsakK2VinkBR+bllFWva5FmWQTg6yF5ZE1VCO10dbvoq1L59IxK741tylDbdrHOuZZ2yqJLIs6R86l18xvZVEs8rWov2C5GmKRaVa57myppM4wq1EZ0iQ9jfpnhCiUF7GqIy6xzJUnInAarR/f0OvmL6+v33PcPyRWllRv1MELY9EahQcG82ZZcbkkjA2/S0q3Tl00PHOgIahOwn6CJbhTk9giq6GtLPuPSOP6kRjvTSFm9xpcNINKJJRB4giS1K40hb137vcxNY5ToYSTk864lOK4E25Pwu8zlDycZ4WxLhugrWBqBH3vcTE1wlmBW0fitDjuRJCtKgG7iZvPIBhp2E1LVUpXOfMrJVxGQ1vLQa65udPjRCIZJA5UZNaynxkOck1XStevREpOJgkXpjmPjyeMjcFYiybnop5wJc+8lNXw6HSfp+w+Bss7+r/M9fZ2NJrrOcmN5gbeO/gnfOvwLzjMnmbfZHxy/K/5T9OP8orePVwQ+3xu8ntkYsr9oz/ikBG3iXO8q/dPPdjI+dT432AxJLbdPW/LTlNrhhCt+AlFHEPTsZkb7UqdTpuVF3PRoLoI0Ur9AY1ZCCuT+mubrmvYe2Pn05pOqWt3PW2rFnm+lCKbdEJt2wW1Yd76dUWZjWjqjFo3NkSdQiQ+HQQrsWpkkUJkZr2KSiT+3SsL5pQZ4fcFUTumupYwYOXyuSoqjrq1igyOFc1dWGsUMXXPSfxJOowJc1dj7lppawmZoZQRQMWsksUgpSxUJdX9GSs9D8KAN8AKN/J4b7FnRm6U53aUIMTMgAFn8x0yF6WHhpNdxrbdgdCppJsjN3JGrhr8KIITqInnE9ZlmPzrkciyAZoEpkXGxO09swKM+zNwPAnN2Hc/tdaVQYx1WYVRLukr4xUnbq3dxPcYUc7qeycxriziH3dHuj1nxtX8c+t6ilhgN3HdTJVw5wYJ3DxQSOGkpwA39xNyA0+OM/pKsZMIdpVkpC1KKDLjyhy7yj3eM2lCbhPGxtCXitvFWQzwtD7kXvsAt9lXs0efU6qDtpZLekrf9hmIDgI4EEOmOucH+x/GYHlWXgAML+++k8QmTMUUYyecN2fIBj/GPxz9Dkqd5DXdH+W+0Ue5c+cD/o0K9w3/YO79WxcvzIxFUw+QLTUgWyuTsco1LbIXaxE0WZL52Eb24nnOXKzqcbEw2jpzbuqw2RRNqYJ17b6XOXLWHVt2fuF6s7/WNiirva7MNLgfKiTOmTnbkSrnPC0asgHVPVSjKasw15iswRQskDMhAhUVn4h47OxalVJblK2IDbNmHThLB89qKSTswViJ8N4Uoc9HHWGymhFRwhTqjrCWI3u665ygs3TaDNdVrynmLySv5fEAKqDMWoTvVdMtQSlPDY6c4GSngM8slOUOIZyt9lCXJauxz0DkxmUmkpDJMIL9TBacjtz/7somgqEWvsU6nOzYQvERWqV3fOnjKHcA5WzX0vOeFcY6gudO4qSlI+321VfKPybfHM3AYa5JpRs38V1PhQCLZaAkPeX4J10peGlnj3ept6FQ5Fgezw94To8AmArXcl0KwZ7dQeNKHwOR8Mjok7xy8F66tsdZu8dLuYF39P4xl8Uhjw7/mlfuvI87em/nvtFHeU3/p3m1vInrzTnuH36UO3d+ijbxwgQWbWJbYGMTkNF2fw2xrjnWsZdGXkDgYmvOnOtYfjcdX7Uksmy+uuPLTLNqYmFJZJlx1SKr72L+NmWTeoVIbQOwSklk6Zx1Q2rUF1Vr7dpoyJDE2ZCmrqd1683cgBvcNBdF3HMkHq+kQTY0T4t5DNZnJOp6k8RjZqSoEYAIRM6ZEkQMYPBfXjkSSKExeAh8COOvDeWQkMmIFSGBbxF4Fk454r53pbtxB8mptc6Z0+BKIqm3Hhe4P5OjXNJRlo6/fup9SU4kzlnzKBec7zo1y0gLLk4Ee6lbw+J4Gh3pSiRK4AFFSfAMoCEzriwyzC1jbdlJBCdTyTC3HGVuvq6UCETBn3h6OuGJyaTIYjyWHfKk3nffp2Mu5lMAJmR81XyWlISzSZdbxCkGImVock6qDo/YL5FZwyU74ge6H6JjOxgMl8WQZ8wBh2JEJqaA4XpzjtR2sDZDIvmL6cfZF0Pe1f8lOraz9L0IL2ZgURebAo1VQcYWMhibuG8uBBe1QOAFDC4WxCpum+vwLZp7q6zByVi6bs0NTYrl2YwQS7qfzh2bGVfDNWjzMBbcGNu2RXfrLigVtZizyea7yRkz5meE86XsNjwXs3PU72c+EwElCJnNQNQDhDhi2/A6v4u673HU8T+aJK4hwk29LE9EWRgCf6EEUIl08tSO0t6CW3jXSkMq9RzGFR4cBDOs3M5mMkIWI/UNx8L40EPEWmc3HkiXEtfNNICPo1wV5lg9L12daMlUu5LHVAtOpIaJloW1N7gupXupm/dK5syzTqQObIDjaQy141bspZZEuuzE1MBR7rgXT4w0Q+1+HijXD2Q3EXRkAFGuLLObCPZSxdgYUgl7ScKuTBjIhO/qfZ7Wh5wSfc6KXa5TO5xNugxkwnVqhx06vFn+CBMyHtHPAO76gUw40hl3yDe654SUMVNO2z2fycg5kkfcO/5T/36Z8p+nf8BXR3/Gy3d+kvtHf8Rw8m327ID/PP0DTts9Xrnz03Pvn7n30zWhCvm+G+ynPvlhMNnzu5F1uBur8DHajF2yh7UUIIuuW0E10laOui21SP08DZLPujWOwzzrWlCJHIdpVt1WVlWI+POLDLPc/P7nZQqRbUhP/bxtpKfWzHIwgkKkyQirjfQUyhv53Fx+zToQUGd8VZIp5ewcVsxcEzgaVXWItaJw4JyVf87OWZ0/lCuUMC7LYGoeWzRv4FBASe0JHIugHilLIr7BWA2fJa88V+Dearkvi1goFCKBMxIyIMG7Iov2eqQlqSd8BhpS4jkZl6eKvdQpQgK1aKpxHU+Nc8Ts+M8Pw1x4/kbglJRAQ+AyE9b/fGXqTLFSCU+NXBOyQSIKCepRbulIQU9RqFUmgQYmnCz1UOecSVMkcJBrRkajsezKhJ1EMY3+xp/ID+nTQSFIhCS3himaL+Z/zl3JPUgkXVL+dvrH/nnNuav3E+zZHfbFEXt2h8fVd/nW4V/wusEvsGd3eEo+zbfGf8PtvbfxrfHfoM0RLxv8CI8c/fG1rgoJn6LS1b+2uo01shmrZDHajN20PLLqdSuURq525mJZVmKjniJXUyWyaaOyubnjMseykklNJqOuJNKWa7Hk0zQsLj3Uj2/gRayQzZibq2FPjUZYollZ0hiVrEW8h0XrLDvWZGUekzjrrq+2YK+WO4CCa1G3h9qyTFTiCByJoA4BCt+HEKEBWbDttta3dKf6GP14W7puxvuoPm4DhbeFEraYree7ok61s8cueMfClULCGgaXXSj2LWwxJhWWs11N12dDEumMqnZTVxY5ygUd5bIXUw0nUlP4Y1zJHGcjNCPT1mcghCeDSqcMkQLOdAWpLDkgHem6m6Y+y6GtK5nkxvLUZMrFqaYnBefSlMxYLmU5+yZjTFb8aR7kmgfMd7iSTxlph0gych5R3yCzDoAciTG3dd5EJjL25RUPKgxv7byfmwZv4mvTTyER3D/6U76Qf4I9c4p3+vbqCYJHh39Nri8U360d8+jwr+feQ3FcI8BigzguwLEJyGg7dtn6DbGUQ7FOaaT2+DUILrZJ5mzbrKylK+cq5ZmFsaoj56JjM+fbHVvYVj0eV5QF6uaocCXqbrQrAJBFDphuwPzNfaX5fNQqRmpudrVzLihxNI0XFSDQOK5C2KyCi/KcmZOrwiwYiY2tqmClKD/4MlAsJa1GyDpIUUpZY1Jm4cRZ09I9gJOQxUirZSdRNiDLjPTgpFzX+OOBX9FRpgAzOgJTQw84cn/zl7gshSNpuj3kvnySeZUJOE+K3AhS4UoqISnQif7ElXAkzdCSfS81ReYBXDmkI51ixNiy+ZgS7ueJLn+2WC5MDLl1HU93VcJAyfJ58lyNvkjYFV0yDM+aIc+ZI86bc5xMOvSVYiKm5BheaV7Gjkp5Vl4ksYq71a08Kb7BHdzEu7sf5Mb+9/F1eS+vMi9nmj/NF/Rfcufgx/nB9KcKgHH/+GPsM8LaCe/o/wrWjgG4Y+e9xc9N8cIHFk2xTbCxKshYNYOxbN2GWCd7cazgorLXtuBi2ZiNwcXM2JYEzerYlqChsQvqtuy+66JWDbIEhGwha1E7rsWn/pV8LWT1Zl2THZC2KIXUrlMhcc5yRMwMwFna8bQB4DR5WkB5056zGW/gOhTXSVtr873oOmtlo8X33DWU8tE4YyA9zyGQLwOoCH4U7udmsKLmOCXl2GC8FZ8L6wYeBfiuqjhOxSDJSX1mAn9MCmfPXXhpCFv4XwCej+GyEqk/1vMEzuAxofy+cq8SCQ3JutIw8e+33AOOVLoGZGMtOMolfeVIoLlxhE4lLAeZc/pMhMtAZAZGuXtmpp68mVnLWJeP3WUrLAeZoSOdQdZIawQw1oaL09x9ZVNya7zJlmVHpNyU7HJaDBiIDpkx7OcZHZtyWvQ5laRYa7nenOEEPR7PDrnbfB8P8R2MtbxUv5Q7zeu4bEfcsvtuRtPv8NDoP/IF+58x9ohJ9gTGHJIJR09I/Stz++57+Nbos9y++56591McL15gURfbABrrAIyl5lfrA4x1FCCN16xA6mz76XytniFt5ll6s1X1P7MauGg1btOSyCqxStZiHfmpj5WzFjUxVxKpECFnx7a/oVcNs9xBQ2yY1Sbm5Z71JM7aa1codaw+hykeo6nJoEDpKzGfCajPAsVjg0rEIuZAQHWNsE/DrHdGKIkUP1NmUQJHo3TTLB+vEqYAL67babmejUoZSprCujvsI377BY6FjY4LP0fcwr3jyxsGBwjKjIRbKRWWnu+DMvH7zj2QwM+/43kWmXE9Q+L5+4mlJy0j7Qy2MlMCmkECp7vOGMs5dFqUcPyKg1wzyh3IuKEvONVRDLWhKwU7iXKSUyk400k4kSTsqJS9JPXKGUMiBMZaelJyKknpK0WGoUuKFIKD3JVNvirv44AxGkMqJFMx4m/NX/FV+WUUkn25zxPDLwGKGwffx+XR/dGzbHlg/AnAso+TsZ4wexhzwEv0LY3vm+prde3EthqKLV1nA6CxTplk0zHrZC+2VRpp28BszczFRs3GmtZYd75FzcpaXbNiSWQbjpybci3qVCDVczPHFtxA6z7VN41f0Jxs7vAWOReLolrKaJu1qF2/TQlF1jcmq3Im4jmrZlXSlxJcS3d3XdPacSYjAI6qn0UAEUWpxMtFw9hgghXmCOWQphJNGFfIWrHUJc1qbcwppaghAiAKBM/ciqInSHi1EmlIPDm0F2WLYtVHbgVXMsXUhGZnLoMRCJypYIYvEjqo5sZ1N50a542hosdyeSrYTSJvi8yXMZSgI11vkLOdhI4SZMZyeer6iXSlcNbf0mUytHXZjODCKYCJ0fRkQiolBzrjOT3iYjZlP895Rj7LlJyudDmhCRkvNa/iorzAt+SDTK3mpDnLLcndvMzcxZfMJ3lk9EmszfiB/n/NCXvaP0c93rf7LwDBW7sf5NbdH+be6ce5dfeH+er4LwD4B/vpxtcZrhVgIcT8p/ur1c00jk0ARhuQsa3sRUMce2lkg+d8G+DimvC3aJnd2FpJZFmsw7WIY4G3xSrbaL9eM9eiMWuxSnlliafF0nkW8B6Wcybal0M2jTqCY9hDE/lzjvQZlTiaxkpZumcGImeZyZj9eeZ6DxzKbEUJWIwt+4QoaYvSSJMhWCBsJv65C46bAncDk74MEtQhoQlZaGzWUabYQ7g+jEuEZcd3Ow3ApaNcFkMCiXTzxqoQJZySpKscQAn8i8y49ui5wduDuyZl/cR1M50aCr5FKgNIcaUTi+VSlrn+JtYBjYkxRfOzVLo/665UGOvOpUKhUGgsl+0IgeSU6HOocw7tBIlAIniDup2XmDvpCMWe3eWx7CsAvEXeg/EKjy4JiU24ffc9vK33i0yN4dbdHyJD8+ToH8j1JZ4c/QPaXAHgYPxw7XusfP1fyHFcoGPdTMa2AcYa66xbGmk9ftuEzmVjNgUXC9e6iiWRdWPdrEUAF23LIW3PtyVxtjDMWikqzpq15RCo5VrEUeU5NLV1b1OaWVYOaeox0nQsHI/5EkBt1mLhujHA8VmCUFJYtBdZ+V7NZNSpUoIqRBsxZ5Llyh7lDT04doaY+ZmSG1FdL/49PLK6LEsAGLGxV/g5lSUZNKwTuqwmwvoySiBTBpWH41QYnLqjeMx+WxPtCKA95QBDX8HJTjkmM3BlKhyJ02cruirwU1zfEG1dnxBj4Vynw4lU+usFJxLF6Y7rajo1lsw4983dRJFZ4zgX/hnrkvKUeZh9O2Zsc7okPCLuYySmXMlzBvS4ZEd8Sz7CG9QPkZJwxBSL5vHsKxwxZc/u8t3x3/OofBAlBLfp2+nR4Yb+67ll9x5yfYlbdu+hTbywgcWi2CbYeL4AxnFkL641cHHcSpENSyzlnBuWRFbNWqwSbTMUdW6cM+fnDxVZC1kzbhGJs3b98PG1BZdh3U/4nmtR25hsBf5D4/Rz5Yr2c9aVCaogpNr/owoSYuARA4DqtdU14rWFKFUc1V4mVcvw0Lk08COaHnOsDJk5jvWSU98uvVJeaXo+gm137sFEDAiCMZbxfIrwqPNofIiJt/AuuBs+m+GMsyj4F45LYciMKBqTJdL6HiK2GBt4HQLvgWHKUokU7riSMMxd5qGr3LGQpdA+myGAVAr2UokSAm0te6n7HrI8mbGMcuvNtURh9d1XkhMqwWLJMBgsezLlreKdpCQIBBNyXm2/j/OcIBWSk6qDRHBx+k0GosNp1aFDwk077+SGzl10SZmQcVPv9dxlXsdDfIcHxT/wVfElnh4/wGlzHqD4vixevMCiLjYFGatmMVYBGOueX5K9qJ/v2gcXrfbQNtYtibRViWwzUxHmeqEoRIopFvAM2oCDhnLIomjMWqwYbbMWC6PB0wLmb/htno9VAEt1fDXTUSc5jSO23q4CjfBzUZpg8VzhXCw7BYrmY/Gxqi+GEsH6m4K3IXE38NQ/Z4FvUTQhqzw268skwa0z9Y9trMtutuFtXOVtOEDhfh9qBzY6ft/aurk70qL9yxdao4MDDZlxvUK0gZHnRgh/LshQu8qROi0ObEgBJ1I4kUqOcje38NmMrhS+hFR+ZdYyNZZUCs6mXfZkykAk5NaS+r/zBMHj6jFSZAG6ntaHZOSc6byUx8UzjI1hxIRL2bc5Zc4gEdyb/RXPTB9iTMY3jj5OIrpcHH6F891XcQOOf/H16WcAuHHnHY2vf/wcf+/FptmMbQOMY8perKoAuVbAxermWCvyLWbGtlR1LIo23harZiqWkRyaAENtv5AtK0SK8Vu6qS8c0+6Gv/LxJaWMdX9fe52a8koTXyJEtb/Hoj1UwUIsEY3nC+TJujJIkIvOZjjKUsTs3mf5F3FL9roIpQlDyZWIQUo4Fu/VWOFv0iXhMpRAXI+RsocI/nxHBaIrvvW5O5db4c2vBF1ZcjimxnU4BQc0AkjoeAmqO+6O9RSc7jqipvYcitSXQCaRMe9YW0bacHlqmGhIhcvoDLXhwjTnSGsy69q6A0yN4WI+5TDXjLVhaiy5tYUL59Rqpt5t94gpp815pBBIrx55Sj2OQvF9vJYbzTkmVjMRE06ltxZ7Otd9Ba9V72ZfHAJwefodAC5m32RoM67feRvT/Cne0v+nXJx+s/Y1LF6bhWd9CCF+UwjxjBDi/ujYGSHEXwohHvbfT/vjQgjx/xVCPCKEuFcI8cal8yMQImn95dbZMnlzXZBxHABj3fNr9T+pBxeNYKTFfo4NXGyTb7ENV87j8raoi22WTzbJWiw4N8e1iEmQbQyzirENY2bmaz7nBsxmQOI5hTRrcT/aAhxo5lnUkTgXGXA1yUfj8bE6xM0VShbzfUeqRljV66t+F1U5ah0oCJ4WQXZajfiaKvgIslNnWCXnsjuhERm4zEUcQXIayh/SZygSX+6I50plqfjIvOojlDoCtyJ+/MKXPcZGeMdNSW4dyJiYWXWIM96y9JUtbLmD+2aQqIZSiBTOKhxgL5WkwhloJdLxMAbKHZtY7YGJZWoMHSk5l3ZIRFCzWA61a6fQFZIdlWKwZORIBBMx5gKHrrQCvEK/3D0+IBWKrlDkIudS9m2+nn+Ob6pv8lLjxnxTf4k39/9rTnZu4bqd72c8fZx9cch11oGQx+U3mGRPzL3Os695u/gt4Ccqx/4l8NfW2lcAf+1/B3gv8Ar/9avA/9hyjdYRg4s60LFxrAMyVgUYbdZf5/xxkzq3DC6Wzb8puFh0bet9XG0i5zatvrfkxrl4/PGUIlpd2+S4ueSTfnl9BXg07S2Kxo6nC8ohy9av3VP86bxBdgrMZRaq5M/qNaXE1JRS0QrpMS6LVPcSmo1VQYJueM5drxH/s610O8UWBNDqcxGsuMNeqo3JQkOyVNiZt2UeVCPR8+gcPB2vIo+8QTrSKTxC3xBtKcy1xlrSk6XKxOJsvV1mwnrDqzKTM9LCZ0BmVR/awCgvAQe4hmPWunJKcNUE2Emdj4UrAbmsx6HOmRpDZiwd6Vqnd6VgIBWpkAV/RFvjupvKPjeacwBcsIeOnyEkEzHlOXPEw/LbXLCHnDNneK26hzuTd/DY4af4rnqCBMlw8hgCwfX2Nq63twHwSP63AJzbeRMZY87tvKn2tQ7R6q/PWvtp4GLl8AeAj/ifPwL8THT8t62LvwFOCSFubLPONmLrYOO4AMZxZi+Om3exRROtY1GKtL12mXHWzHWy3bjGa66BrMU6XItwal0AUkvwXJ61aJ635TUtbu61WYuGniKxp8VMSWGFrEWbqFOSVAmcdWsEcFA9Hzcji6+ZIXNSr9aIsxtNXVTdfLOlkCpBs86zorrPwK9w10T7rOypeFzRdQX/ojDkml0sgIzclMZXWTHWXZdEjzWRs/voSk/ytCVgSCrgITPue8cfy/0Ge8rxNcbacpS7eZWEkXYkzrDOWLv5J9qRNs93unSVswQ/1+nQkRJtLWMTjL3c/jWWidFkxuDyRda7i0pO2QGnxQ5KCC7aIX3b5RG+zClzhgvqGVIkCsmeHXDdzps4o8/ypHqKN/Z/kQfMZ3hUf4FH9Rc4t/Mm3qJ+DIBhfoHX2zcyzC+wKDbhWFxvrX3S//wUcL3/+WbgsWjc4/7Y8xZbARqrZjG2BTDaZC8WzV0TK9t6tx3bBlxsi8y5KDYoibQ9d+xEzjamWbXXbehrUVxT+V53riZmbhiVcWuROGtKB/NrLpOKrpdRWUhIbTrXAmi08bRozIq03MsiMDIDCrBFZ9Iq4ID5MgsEGamdOe96dpjie+gPUmZPHACJwYpBkPtuqTG/wlC+dUJJI4CMGGzE0tNCKUKZcZkxAsNlEsLNPJRfDIKub/EOjn+RSos2DmCMjShKIKEjqmtehn8u3PdUOrAh/RqpdOUNcH1HzvUEe2lZOgnX9f0P2rhrD3PHpeh4BYgkkD+d/PSEz2YYYCeRnEndPaYrJX2pEAiGJmdiNR2h6ApJIoRTfYiM7+NtXJBPk9kJqVB81X6ep+VzvMLcxR59zuizXJaXeKX6AYaTb9FXpxnllwHYs7sMJ9/iih3RV6dZFFv5X9C63usr/fUKIX5VCPFFIcQXn3vuaBvbWGHtLYGMVmNXABjL1lzn3BbAxdYJnc8D32LRtbPzbIHI2XDNVrIWbfazCEgsI3Gua5i1ihNnfGyFT/VLDbMaeBbl9fWZknXKIXNj5uZcvRxSJVfOfp/nS4SwNTf/Og+MkHmIbbLr9lLtGxI3EavusQmIVLMgC95WJbkzKEIaHpsUsyWPcIMNRNMAJurGzOyR0ikzNEoL0ZMhq+C+p54zEUywLAGgCIa5KMobzrLbPYZElOPGmkLOGhQkmQcXFsd/CD4ZqXS8izsGPXrKGXIlUhSZkkQKOpFSpCtFMY8SAiEEGTkK911juWKmDLWmJxJO2QEDlfASfRs3mdswWFI54BJPkqN5Vlxmjz6nzGlO2QEAU3PIK9T3k5HzrHwOgFxoxnq/+QWtvIarxtOhxOG/P+OPfxe4NRp3iz82E9baX7PWvtla++Zz53bKT+7Vr2OOjUDGtgFGm+zFOueuAXDRdk+L5n5eSiILAMs1lbVYR2ba2v+i5bkW4GKTrEU1am/4G/I94vXn1qtkGlaRhC4yy2oaG8cydQhQuZEbmnww5oywmD0WlCHxNUv3HNN7RJkFKY5VPncGX4zSi2P2eJyhqCv/hGcjqD/ickY4HsZC6bbpMhe2yIqEfiVxFsTYsnOrEE75IYXLKgSliPTZiVAOGWvXdyQ0LMs9wbOnnKfFUVYqRILcVCCijqeiUI0o4ZqWBZKntjgViHFKkrF2xlpXMqcgmeBUJNpaNIZdlaAxTvlBRm4N2roGbFf0lBOy4/qE2DECyUvNq7jffI6vjv4MgJSEp+VFXjf4RV4q38hEjDFYnjHf5HWDX2QixhxNHl34ftjkf8A/Bn7J//xLwB9Fx/+ZV4e8DbgSlUxWjybAEW5MWwQfa4OMVQHG0o2sWRpZk9RZP9eG4GLu2uVkzrXaji8sZRx/SaTV2lcra7EO4CiO1c09f6jWMKs6Zh3uBOuXLNrMVacOcb8vBjqi5mbV9PsiImY12kpE565b8hyFssEi4ueiPZma65uiSTYKzKhDSv8IW5RD6mSywd8iPA4I3AvKTMvM+Nm9B++KsGZcDnH23cEYqwQmSpTrJtJZdAcSJ8TmWKUXRRZtO5wfVP5r3E2sb1gWlCtl/4/cOE5FWN89N04BMswtl6aGg8wBiFAGmWgYe/dNbS1HWvN0PuTQThiJKUObYTxDNrOWXbokCHbporEcMeXL9rM8Kx03Yl8e8Ki4l5fauzgr+7wkeR3WZlz0UtOvKrHAkwAAgOJJREFUHf0JN3CSvu3y4NFHGYkJr+ZNWAwPHn2U1w1+semlLx7P0hBC/Dvg88CdQojHhRD/HPgfgB8TQjwM/Kj/HeBjwDeAR4B/Bfxv26yxVsTgYsuZjrVARluA0TZ7sWytVc8dJ7hosYfjJmq2XaNp7tl52t3c15GfrhTHzbW4WtLT2usWZyTqoloOWQpGVihJzMy3ioX3EunrOiTOuTWqZR0x6+9QXStEnOmYARuiovpYABJCqSHOAsT9PcJ8cbfTKnhoBDM+W5IIUxA4A9cirB2i7pgSwRW0/B6yEaryvBQZm+i6kKEonxdH7FTCAY1OKI0ISyI9gdMvP9ah9boDGAbhDblKJUzoGRIyG8Y64uZEl0DD4PgYXSkKwuYgESQyEGBdueNQ54Uq5LIdoVBclwy4jhMYDGOreU49y9DkdIRCCUmORSF4XH6DO8X3s2N2mBjNWXOao+xZrpM7jIzmlNnjlTs/yX3D3wdgr/9KDuyEr/FF9np38h37AAD3DX+XuwYfYsf2Gt8vAK3uEtba/6rh1I/UjLXAf9Nm3mON6k3U5utP5eeybecIN1WzZHwAFyZrWNjP07SuTJrXaDonktr5rEwQdeOlAqOXj60ZV7cHKxUiHlezn7kxlbmXnZ/dgwRT/qc8d+2yx1B3rjJnq3HRzzN7aJpr0RrbiLr544J06CBVU6QWEqyh9hzSQkOr73BOSIM1y4CRASMR0rpuo8JCuLHVXL+o+RbCzMhPizlnrrdzGYjaqSo32EXSU2Ga92QWPJa6Nf1VjfM17aUEJAopLcaAWfbcUwIPKeY9IarrxWUUK+Z9MaogZm6tyM1TRxmGKnck/I+e+/3Eb79Q6rDhnDRgBRpnJy6l+971WYkgJ3XunW6eTEvPl/AZDL8fKSxT427vIRxoEYWcNHRZRbi5M+08MEKHU4DDvMx8pJ4foXVZWkkkCO/ymRkHuDLj+oSMtaHnP7gMtWEsxpwVA3pSoIQi0T0M8DLzEhBBqmqRCPr+OongcfltuublpCRc130VWPh7/jO3ibvp2QEWzcPiK9zCq/n88Le5c+f9PG0eRdsJRlju3PkAe2aXB/lS85uHzUohL6zYQkbjWDMYCxfeMu/iuDIXWyRzbhIbETkX2X03zNlafrosGsmYDVmLuvPPF9diS9dt0hp9mTqk+foGzsQCQ6xVzLLqYq7TaFM2pCBjNpMtW60X7z3iWhTzN7hwBumoWQKmAukzlDpiT4tYfhoak4Xj8/NA3KK92Ev0WOOfrRVFXxHtAZMQljxwLyiJmOEVC1be2jpehJuHGVADvhW7cY89jfYyiZQdxvo9hy9skQEJmQygKK0EearypNCe8oACB1sciLCMvPw0/Gn2lWJXScbGMDaaO9Q5UiE4yDWHuUZ4BUlPOiWIe54EJ1TKxBpea+9iXx7wEvMyUhK+Kr/MWXM9F8wIJVK+y0Mcin32eq/kDns3T/IIO9076NsB5+Rt3C7fwERknDNn+Lr4MpkZzb12cXzvAItqbAAy1gIYS8dsCC4W8S5WmO9qgYtl+9m6SmSFaxtjnXHHybVYCig2kJkuO1Y9t6gcsnC95eWQNk6cbY63bUpWjItuVI17awkQ6sYsa0rW1L69qg6pljia9lLnaVGN2DCr6O1Rc02Qi8bn6x5P3bFqMzJX+phXqoRMRtwfJF5fV9a10V7qyJqpdBmI2CwrLZ5LCp5GyFKEP58glQ0RyJxdaenK0Ma9tPce+a6nAmeoNfZljzBF5omd8aMNXhjODyPwOkTRAdViC6nsQCp60tl1B0vv5/SQS2bM2GdCM2sZKMXUGIZ2SkdKbjBnOSlcCeMl5k4ypjwqH2BHnkXbjJeYm3i1eCs9OuzJG7hDvZGH9d/xUnszT/AID+nPsy8OuTj8Cj21N/e6zr5210QIhEwWfh3v8lcBYLTJXizjXqyrGrkWwMXcdWuQOVcEF7Pn1iNytm1StrWsReOelmQtmsbWHatrqb4iCNlUerqKOqTdflbLWrTKMCwjdq5lC14DJlZQmQhhMJUyTlMGIY7qNSEKYy3mgUS4YStp5np2FNdTqkiayh0zmZElwCZ4S2gr55w8Y5lszDFRwkliQ2+RRMzKVpvWVL7UILFFl1RrKXwswnxQNidLZgCG+54ZBzwy/3boSCdb7UpbKEdChmJqXNOxYP0dYqQdmOhIQU85WanT1ji5aWYsXQUnEtcNNfPg43Sa0hWSAR1OiC6pkAWocLJYg0JxUY+wWMZWM2LKgB7Pisc4z0t4lXk538fbyDBoDEPG3Kxv4pw9yU5ylonVDORpBslZBrZPv/MSLgz/YeHreI0Ai+VxVYDHmlmMlQHG0jHHUBrZFrhYd+yaZM7la6+SmVihJDIzzxp/Jlcra7F0HxtkLbZA4mx3bjYjcWzt1BfMXb25LwIkrUmclEBnJWnqgrHWSqS0rS2+Q1SvsRGIiG3A59eblW3GJM6YwDlrpAUCW3yFKDqdVkidSphCelotgwRCpqQEONXHHEtTE+lWCcRMKJUgWQSuYgdOB2SEN76Sfq/lW7anzEwX1DBPbt06XVlmK0IpZ2zcvD3llB3DHEKTsp60RYOyUBZJhShAiMC1SBc4foUSgp1E0pECJRyxs6dEATqeNUNSIekrZ57VkRJjLZeyjL0kZU+mdEnIMIyY8oXRv+WL+i/oiAEvF9eTWU1XKr4u7+Uh+wXOiV1yNKmQ7GdP8A31KNfrm+iJEyQodtLlrdNfMMBiWWwdaKwBMloDjLbZi2X7WzT/KsdXAReblA3W4FusXLZYAaxsRX76fGUt6o5tS3pau/aK51r4NqwCDhrBxqrH5yZeMm6JxffCcy3ASRsXzrnraxQi1agCgkVjlTRYK1B+3hnVRbSvqhw1AIUqiTP0BYn9LKwvF9TtpZrxCDdnJczMNYUD5wy4ccAhM3LGHKvasCwGBkEREn4O/ImOd+AMHAmDK1dkVjBQDpgIXyLpeHAQ9pF5Z86A410ZBCZaIHDdTRPPyxhq4bMTeKtvrx4xDlhA+X1qgkwWDjLXMn2iYZi77qZSQJ8OUoTnzj0HBzpDYxn6LqlKSFIkGk2/czOn09u4Vd/GQEk+Pf73HJgpR9mz3C7fwCU7IkHx6fxjnE5v4+X6ZdyvP8lt+qXsi0MOpsvdI140wKIaWwUazxfAeAGBi2uKb7Hw2gUlkWspa7EsNpWeth23zf4hxZjlGYly7PEpY5Y5cR5XVBUpddFM5nTKkFDaiD/Zx1mImfV8SSG+pmqWFQBEAA5xFiO+kcfXV7uW1rVOD+Zb8wCn5HMYnzUI1wYQEEoiIWKCJpSgIqwfshRKlo4YRdYi6hMSSh0xWVOCB1eOY5FK67u2llmMch/uRt+VDiR0lONSaOPAATj+hQMOFK6bBcHTb85lK1zJI5RVjnJngiUoyy6H2jDUpuBbjLRrkS78Xs4kHT8uJ4uUXl2huGAPeZorpEJyMunQp8ur1Tu5lH3bgYRc85behzgpO7xWvRtNzhdG/5p9ccgrkh/g4vSbHDHlbvVDxbxnOi+lk9zAonjRAotqbAVoHCfAaDzXgnex6rzXGLjYRklk0Zprz/98Zi3aZCKWKUQWzVvXCXVm3KI5Fi9RjZU8LcI1q4CPufVW9Loo1mySEM8fLzICDeqQ2YxGuzJL9bq6qFp1B5vuOjlodQ9NJZTAXZj1pLBz5wJwsFYUktXY1CqWlSq5XGJaxayFqqRirhUTNaFsk17n5ZFHwCPx2YhEGqSYBQ5BYuo8J/z6lILSYJzlGovNllV2EuPJqxTnQ+8Qg2BiXCfWRFh2E+fCOTUOZISsRVijp1y/EClKnkZHCo5ypw7ZSQQnU8mukqT+b7YjJR3puBTgDLS6UiJxhM5UCkY4CwOF4uH881wwQwAui31OMuBVybv46ujPuGBGnJZ9RkazQ4e+7dNJruc58QQXxFO8PP0BvjD61+zQYSDcfejJo89xrvuKxtfWvb7fo7ERyFgDYCyNTUojL0RwMXfdZiWRTYicC69rKz9tM98mXIt1Yq39Lvg0Xaf8WKAKaVOO2KQcsq5Z1ty4uU/4on5cPFXbrIa0IO1c+aJthLJJ+eUzCzXZhyqYqLZQFzWljngsUJRDwrG4aVjV7MogipJFtbSjzWz2ouoIGrdSjxuYufmZAxghDCVgCHsOgCEupzgPCFl4YyQhIxPmsWXJJnQ9TWNgJGwhR5XCspM4cDL1GYjMUrRIH2nBbuKAUlB39FQw+hJFNmKQuL1fnroMRuzEuT91GZITqWAnEXTlrMvo2HtZXMlznssnBaiYGsPlTPNEfkhu3RVjbRjQIRWCfbnPXeoHeUY9yVBrLoqn6ErFru0z6NyMRPCJo1/jb81fAdCjw52ddzEyV3hu8jB7dheAERkPiAe5IJ7izOD1PDP+6txrE8e1ASyEoMnpcuO2522WvwoA49hLI1cBXNTPsaY75zGURBbFopLIVjIax821OA7padusxdUicTZec4xGYbCcZ9Fmisocxc3biEbDsEVky2VRl30In+7nb+imEdjE5ZBlWQ+gKEVIaWZASIiqoiT4Y6ia17DqZxEUJgBT41Qh1XJLzJ2ISZshUmnIva9FzKMI4wIIccedu2ZPOSmnwRE13V6I5KGi4F3spq6MEhw5O9IWTpxurPueG/d4xr49eiJKvgZQNC8ba7d2P3Gum+AUIkK4TESQoPakI3CeTBJOqw49KZHA0OQYa11GQSWcShUd3+l0Yg19O+CMGLBrTvKw/DY3mtsYmxyL5Q71Ri7Ky3SS63m5eisjMr6tvoVA8mrexKs672YgOqTJOSSCJ44+w5G5wJ32Dby6+8Nzr2cc1wawqEQVZFTbnm/UmXTRuutmMVoCjGMvjRwzuFhFKTK/zvGXRLYGPK51rsUq0tOrGQu2Mm8+VXMzXUUd0rROVXY6513RkLWo3LDmyhZRh8/GtesInS37dLi1litI4qxF6z0QbqqydqyxorjxxwqPumZkYdys1ba/WUYAqopFgzpktpX57OM0BdET7z9RPs5AuFykXqnL2OSRuVUqSi+IMHMAEmMtSWXpexEAQO4Jodo6MOGkrQHA+YyDdY93agQnUlsQL53BlgMUh7mz8h7mLlsxNfgW6sKXaeAwt75xmYhMtCxXshwh3FglBHupIpXOq2JHpQyU4mTSwVrLQW54Lp+QW0tmDaftDhY4a0/xUn0rXVJy/7ynNmUsjriz8y40Ofebz/HY4X/ionyaz49+G4vhcfEMt3bfzEs6OwC8hrfw+dFHal+DOK6h/5VWj+MEHMcNMJbGuqWRbYKLmrjWSyIrzd22JHItci2WjW17rC2xs+xtPX9qBe5E3bm1yiENQKUNMbJ2vuL35Xtpe83sTW6198Oim2gcTa3Uq3OFzEU8d1XNEWc8YgVIFWDUgQsoHS6DGzxQSE5D5qLI0mCLrqQzj0dYfxM1RUkklpTKaFxchQvGV1DKWQtSJg44BAlpFhE3tRWMtft5lLsZJ56sOdLSlz0EuS/tHOWSqZYEGWzwvZj6rIY27k8qt4Lcwk7iuBWOL+HAQle541NT8iwMTnLqnjO3z/3MYCycThNS72uRSqcUeXwy5sBMGShJTwmeyR2HIhGCrlCFX4XGcmgnnFQpX5MPclL2SJGcUl1SEqbWOWimdHiTvAcpd3n88JN+H5KXixt5On+Ir2bPAvB3kz/k+p23sS8vNb7fwmvyoottgoy1AcayIW32twm4aJp7FXBxNfgWa2RBNnHVXOnahnk2blDWcP1qDdTWIHGuow7ZYsmjFYmzek1DU7Dy/PqGWJt2U226+S/ys6iOaSqHtOlbEu+jGnXdQxeBm9h4qm4fscGV9tLOGCRULbjdNcxJTsNcIcsR7zPIS6U/rz1pU1ISOAvFiCdPptKQSkMnGGRFjyc4buZW0FOGse8FIoXLXgS5aOzACdBVxnEr/Dw9ZUgCcPVjMiM4yiVKwih32YzUq0RSYRlpCkvuUx3Ljf2yYVnmiZyhZbu2MPXlj/B7P4GzXcmpjqSfCMbatUm/ONVcyXJ2ZcoJ2WFqLM9OMzI0hyYnt67pWE8o+nRIhWRChraWW8wdaGs5naY8bL/LV+3neY19DRMxZsf2kMCrez+OlCdQco8r8gKfGP473iB/sHhubh28jTfxeh4b/m3je8m9J17ksa1sxsoAY1vZi+MgdT7f4GLJuiv3ErlaRM4241bNVLTpD7LpfNv2tFi4/nqXVYmYa3U8bX3B+o6a1RJJkzpkZnyDK2gcTQoKIewcCKmbqw6IxDyDRSUUUQEhUphCARKrQWacOP3jlb5EVPweETDjkD7TISMwEtqch8fuShfSET8pzbLCHuOW6G4OyIx0JYc6QiqOLBmem64sO6B2PFjILXQ8kEj8+VS6r64yrvuoFXSlG7OTuOucnNSiDQUIOspLxUdosR5UKF0vPc2MI4CmEnbSsk/IyU6pVBnlztviILMlwRXYVZKelKRSciJR7ChFZgwSwc3JCU4nHb7C13hQPgLACZUiEZwVuzzKU1ynXDnjSp7TswNeJt/MZ7M/40n9Nc6ornuObJfb++/k9d338fjwC9w6eBufn/yee0ydW3hq+gBXzJSXDN5e+14qXu+FZ1+EsSnIWAtgtNxTY2zqd9E0Z9vj2+azXGslkZbnZsdt8U9nXWLmtlQfq7pzbrMcskk0lENWtfFuLK9Uz9dwIJoMqKrAI34OmjIM7jrjvkQVuMxzFAJQqGswVpWOltmCZtlpiFAOqRIxY6AS1gpS10wnlV4eFD1BQgTpahgXjK3iNdy8s19OQVJKTOO3WipNYeEdHre2pd9nbgWpNAWnInA1giw1lc74KnbalDhfikQ4YmfXv+4TI8mMK4t0lMt4dJRvme45EYPE0k/c6rmhABxXMlcqmRpQsuwLMkgcCJn6DfaUI3K67qa+66qBibFMjGXgFSNTzyZNpbP4Hmmnd71Nv5Tb9O1Y4DFziY6UCOBV8ibOdxU9KXlQfI2u7XCWXX4geS8vk2/mH/gaALv0+c74b9ilz62Dt3Ex/xZ39X6C1Ka8Wf04b1Y/zheyj/Odo882vn/Cc/g9G5uAjJUAxraUI+sqV7YxX1sy51UsiSyKY8labMq1WLUcctxy00VZi7ZmWZuWStYwy2pTwhCxxHNNYFPc3FvyNhZmTkx5Yw9zVx9HoaSIvBiqe6jjbRgj5oBIDA6qstPqNeV8dWuUHhbh96beJC4bMGu77bpdeJ6FdYZXpuBbRE9PVU1iy6/qnuJn2QSCpjQF1yL0/RC4kkfgLOB/j/c/1tK3RHdv+amRZN5PI7RCN4iCZ6GtYGIcH0N5+WlPWrq+MZkDD6400lUOFJxIXDv3roK9FHYTt7epJ3NenrosRUeWMtiudIZb+5kzxupGPUR2EsleKgsDrVOp4kwnYTeR3NTpsydTelJyAycdSLIOdHx7OOFQ57xFvpY90WNXJRjglB3wJvFqZy6G4Pbe2/mOepxvHf4Vb5PvZiSG7NLnc+N/y2dHv8n3pz/JXf2fnHsPxHGNAItZuWkTIfM4pafHDjCOuzSyTbXIpkqRq1QSeVFlLZbFsqzFMifODRqOte14utDTIoxpU+JYxSyr4do5MLCBxXd1/TpZpltz/oFX1SHhxl51sly6rYaMR/CzqKoiFmdVlpNNq46ZMcGzab+OkOken5IlCTMuocRKj8CnCF/hfOKJm6ERWVw2UdFczqCq5Fxk0c+hQynRmFQaL2N14KNblDQcKMmt962gdN/sSEegNFaQeK+LVIbyUdmITBvoK9cYTBu4PC37hGRWFBbfSpTZCSFCVsNxQZ4ZG/Yzx6V4dpLTUYJTqURb52ORSqcyGea2uGY3kYU6xWI5yjUdKTnUeZG1GciE/TwjEZJ7xZc41DnaGq7kU76jHufvzF9zJZ8yZEJfKh4d/jXfPvoUidrjL0e/xSNHf8Ylsc/LBj8CwGdHv1n7+s++F14gsUh6uu111gUY7QYeM+9iHXCx6hrbim07blZia1mLtnM0zNcqa7ENX411nDiLcS1LJAssvhfP3+bmub46pLjWVG/6DXO2bEo2E5U26q0dPWu4EXU354JAGa3dROIMnIlQ1ojLHdVrCvWHdH4WoZFZfD7mSFgrCsJl9TFIYcm1Kq6rml7FZlkh29DUDn328QRAUGY0lDCuqZgo9xlAQXhXKzHrbRGkpXE/kDiDooRvVCaCKgXfi6PsM1Iaf4Xr3XW5L5mk/trwvITOp+FYbgWnOpZhXrZTD/LR/cyBgNDx1ClEBCdSwamOU3ic6UpOdRRTbcm8jXciBFPt7L67Ct+QDHLfOyQoUibW8GR+RFcqRjbnAfttxiZnistavIm3sKsSlJB0hOJi/i2+X/4IAsFJ0Qfgtf2f5lWD9/LOzgd52eDH3PNGwiNHf+YfcwfF4vvD2sBCCHGnEOLL0de+EOL/IIT474UQ342OL86ZbCGOA2ysM882sxdXFVxsyLc4zpLINZG1aOtrcRxA6bi6nrZds9X4Dc+tlJFYAj425Vk0ZCOa1q5XgKxXemnq3LlMemqMKMBFuK6ut0cVcMTgwtRkW+oMsMJ8seQ0njfu7RFjUBupQIIqxAGRUg0Bs6DDIMiN9EqJkgdRqkXiviLuXBZlKnLvvEk0LmQswDf+8nLT0MJ8xu1SSwcmrCN+9r2V98QI+t7/YpSXYAKcC2eYd5BYZz9uYaAcD2MncT4WmZeljrTrD3KQWYa5y3gInM13R7lr+8qVPcbGMtSGy1PNUe7AypVco30zsoNcs6sSXtbbdeoP1eF18nZOqJRbOn3OdxMGSvFEfkhPKjSWt6t7OPSZihMqcYZbGB48+mMMeDAhOG13EKKDIOGVg/eyZwe1740Qa9+BrbVfB94AIIRQwHeBjwK/Avx/rLX/r3Xn3kbEN2Zr843nWWWOAC6sWXKNSGDBvEIki9eVCTStIVMwWfs1m+aqO14zh5UJojpOKjC6ef9Nsehx1axvpUI0rDN3btGepATT4lPzwjlaPOZ4TLxm2/Xn5qu5bpNjM+d94Vgy+78u1B9bdE5aMKL2Jjd/vRuLsGAFQtq58kbdsboIn9JbhV+veV+myFzAbMlFSIP1Usy2+2saE+Yq1ok+Ic9yIQxSuqZkdc9pabEti2vD8+EcOWc5GcFZM/aeiBuM6ehmPeOF4QGBZn4f7nr3c1EqEQZtJVOt5so20oZ9Syw2ymDYQu4KFGTOzJS+EgKnBqn2FgkRkzfdzTo6bxxBcyfRzgYcy1HuPixcmcJO4sDFWDtyaE8ZegqOcokxjsSprGtO5siaothLcNq0+H4hyv2cSjjKhHf9jF5/XIkklR5AecBxMlHspIJhbvnm5JDH5Dd5C69loATGKrS1vt+IZGIMmTV0peJilrOXJOwkEpk7AmgiEh7Lr7BLn0d5iq7ucYpdUjoIobgsDpFiB0tGVypeOXgvO2aHfzj6Hb7O4nvbtj72/AjwqLX221uab6uxFbnpmhmM5YNeAJmLlnO0yUisY5y1cmlgS94VC7MWbXwtNjDM2mr/kHUsvhfFAhLn2kag1U/+LQBDcUOulkMIe5nlNSyLReoQIW0tz6FeCmpnritihd4jtXwNOXtDb+J61GU46rgX1soKSPE8CGkK0mVMAA3n3bX1a4csRylXxd9gq+RMEa03K3etljCqpZPUy1ZDm/TwfBhclkJ7TkOYKxW+66lwnIlwPDPBf8JxLQAGPhOhPWejqwy7qWY3tUXTMSUcmBjmsnAbHShn7R3swVPpFCKBWxF8LgCOcufEaSwcZM5BM6hKtHUAIpHB0tupQVIpZjwtpsZye2eXH1B3M9Say5nBUhJIu1LwLfEkn9ef4IoZo4Tg29k+j43HZOQ8l015LL/CSQZI4KHhnzMUh3xu8nvcIPZ4ff9DnLK7/GDvH/Ha/gf4xNGv89DRn3GDPMErd96HkidZFNsCFv8I+HfR7/87IcS9QojfFEKcrrtACPGrQogvCiG++Nyzh1vaxvLYWG664rXbAhdL5airxkr9QNqTOdvERtbgDWuvZi61Ba5F67Wucsli2Z39anpaFHO1HzrnZ1E7X4UfUf2kPmejvdjeey4qXIdV1SHxNfXnZueNwUfbviHV+RdJSAMwCF+xp0Vd9shlJUzxcxg3l1kIN34Zun26r4JzEc0bmoAJqq+NswKPMyGZUWS+30eYMwZSwvMk0sALwYGGic9+hL0Jym6nTkKqGGlFIiyjXNJTDtT0vF9FR1rfFEyQmQCE/HMSbXs/k87PQrjSS88/77mFCxPpORtwlLuyiCt9OE5EIpzENLRX7ymvBMEW9t9XppaDLJx3hM2DzLDvv4a55Uqec6gNY2NQQrjSiSw5I8bCHdzEu5Kf5LTsAXCCHoYA1uC02HH9RZIOr+3/NI8O/5K7ej/Bd+1F9uyAz4w+wgWxD8Ddgw/y+sHPMzQ5Xz/6U97T/0e177UQG//vIYToAO8Hftcf+h+Bl+HKJE8C/++666y1v2atfbO19s3nzu9uuo214moBjG2qRlaOVQ20NrT9XtfKe2WuxYrzHUvWYmbccq7FRiTOTTMVm2QtwrGW6pA25zZy4Zw7EW78K2YmmuatZg+i0sa2oo5UWuvi2RJoGCPmZKe1fhnSYIyKfq9XkgQCp6oQSUNJJd7frJxVzDRCC5/ocyO96HSeyKmkJVGOpOkajZWEzaAESbxiJChB4oxHONZXuliravplgI4nbWZGFk3Ewn7jpmIAXekKMEH+qa1TeQDsJMY1IlOm6CvieBWuXJIVZR8HKrR1pM2xLm28d1PHs9AWTnWclFR5lYhrn+7apo9y61utO+AQ5Ka39DqcShXnu4oTiWI/02SGoivqgc65YIbsJQmHJueKGZMIyZf0XzGgxxFTdlXCY+YSl/Mpp22Zpbhv+HtcEJd5zeADiOgP9Caxx0VxyF2Dn+Exe3HuvTX7um4e7wX+3lr7tHuh7NPWWm2tNcC/Ar5/+RRipgFY9eu4Y1OA0WrcKsTOddbapoHWcZRE1hizMZFz4dxXUSGy7agDDFe7MdkCdcjWzLJWdOFc7JjZztOiFRlz0Tre4Kr2uijqyjNx7w7RUHKIj5WAwKCUnslayGgPQcpZPh7HsYjBSJW7Ee897h0Su2dW9xTbepelFVv0EIm9KoLnhbs2ZC0EmVEYBImXnbqSR7lOUGrEr0AwsBprVQCRkMUI0tOuNIw9/yUzwu0rIsaGPWbW3eD7iTPe6krLUEv6ynErhrksCJxT7TqMHuWCkRYMlGWkXRlmJ3G+FEq4Esj5nvt9rB3IsLgv5bMLPeXKJ10FqXTNxgQCJZ1h1tmu40WMtOUwN0y8gdbUWDpScCJRHGnNUBvfU0VwWvR5IjvidNLhpnSHzGreqH6Ez43/LV+a/CFfM09w7/D3+NToI+yLIXt2wLPSAYavjv6Erw7/iDN2F4HkvuEf8PGj3+CM3eWB4R/MAI662MZd+78iKoMIIW601j7pf/1Z4P5NF1h0Q15KkFxlnTWImqteJ2SyEalz4VrHTeZcRqpcFDWkxjnC57pkz5ZrrkTybDrXdo8NBE0rJaIgay4ncS7aF7Cc7LktEmcxjtUIm2ucqxIX3cF6UmWV/Fh7LQt4FsKAlcU8MW/DatU4H9SXEWbXFDPGVlXXzLpuo9bOyzxnrpMWq0vCZfzYYgJnYWwViI41UlQp7YwPRtM4oChVBO5EDIICidJa4Yi2EUcidCtVwhRWWdpUH3cgZkJ4I2jrSiGJl9TmDf4fEgr3ztSXZDIjMQXno2x21pPGqUYoORSBoxFKJta65zjwL8ZG+hKG5chIzndznpkk9DxgOvJGWUpYJkbQkQ4wDHNH2Mwon9fcujKIgKLsEaSnIXuRCDjhsxlHueUotwyxHmw4IDIxrhdJcN8U+OsSReaVIwOlONQ51ycDBongIDN8dvoHvKXzft6/+yt8W1/mlBlwff+X+cz43zASQ74y/F1eM/gAbxj8I24SezxuL3OBfc7aPe7p/3LxvN89+DnO2MVVho0+2gghdoAfA/4gOvz/EELcJ4S4F/gh4P+4yRpL93AMmY21vSy2XRpZJ47b42LLEtSlY15AWYvjMMxaCCqgeZ9tsxaLCJubmGoV17UYE0BFXTahiUdRjbmsQpVcWU/sDNGkzCh+judfADTcXBEvYYPySZz5KLIKRsxlBaoxCx7qH4MQBmMESumZ83OSV1/ACBmPoAyJeRTWCozPBiRSF3uo2nmH+ZQvSQTZadxuvSil4EoiuZUFcCj2SFkiic2vwlc/yYssS6wOce6ZsjDS6klDZoTrfBqVO7QVjHRppJUb58Rpge8MU0fI9HvuK8tAOVA09ccCIbRoeCZdCSQ4ZVocjyK37ngqnTtnIhxPI4COvhJFI7KyB4ngVKo47T0vtIWR1nw9u8TXswtczqcoITjUOZ+e/iFP5kdcnmoOdc4PdX+e65MBF/IJ947/lBEZZ5IO7+79E7q2x2sHP8tXh3/ERIz5+PD/xxlfFrkoDvmkN8Uqv/9G3VuvfJ2sXf+Nv61445tus5/7m/926/NuM5uxahajzfhW+1swz8I1Fs1dl7loWqtpnurxpgxLdVzNjXLpmMr5uZutXXI++n3Rubnz0Sf4hdfNzG8axpiVxjSu3TCm+Dk+ZmuO1Y0LWsDWx8pDpQsSc+ds9Vh8XeWTcjnGHw83k/iGHz5Nh2PhU2b43dZfa4u16o9jZ+eJ56tKPufWjm5cNs4YVM7b+PFG+6meD2NMNM9sDw4xu06UtQgZi6pqJM5GOBCgkFIXXIv4OuNJk+E6ISzGzh4zdn6vZf8PObNeyFrMgAdKroYbX5I4q5mSMlNBITsNHIsAMrR1tt7hlYp7kChp0MbZdveTnFHuPohkxjlrCmEZa1nc1Mda0pWWsS91hAZluXWW3kNf8ig7kTpHTmvhIJdOcipceSQoPeJjUjjQEABEiFS64yMNfd87JFxvcSWUo9wUJNKgIJl48uZASYba8Iw+4rTo01eKS/mUjJxzqo8SgqkxDE1O0Mx0peIpu88pO0Ag6EvFocn5zPjf8O7ePwHgojjkFnGKjx39GmC5p//P+eToN7h78PPcN/z3X7LWvpmauArF2OcvtsnVWFlq2sZhs82+joNzsUpsuR/K8521WNfVcq3rNukfsg0nzoV7OyZ1SKsMxaIsScg0VDgRyzIWC6Jt1mKVuao8izaKkTYNyZr6cFTP1UlLqw6cdfM5l03dyN2o8iDiqDsWjsdAJrhvFlwKLykFCvKmkqYAFSFKEmdpoFXafZdOmOFxBydOYAZUGNzNOC7Z9JRmqlVRtkmlLUifiXDHXBlCF0qPrnJQZmJkYZDVlRQk06E3w5oax7lQwnU7DWWQrrSMtctaPDcRvrwx27TsyPcIEQRZqgMVl6eWy1Pnqhnaqh/mumg2NjHumTyVKrpSMNaGqTHcoHZIpeRSPuV82uXGdMBFPXFZEjPlgtjnxl4HjeUpu89pu8OOSulLxeP2MvtiyE/u/DIDmcyAinv6HwZEoRK5bxi0GvXxogYW1dgUYKwsNd1WaWTb4GIb/hablETWGHNssWXp6bH3D9mksVjj+ZY37XXVIdUx65QH4pvKElVHFZTMZSx81BluzcwXkSgbtyXmZZiLxs7+HmWl5CxQmGnk1QACZhUghjq78KLkEEoMnocQJKdVsBV3Mi3kqd7PQhtZ8COqJZPCEtwbWhUZDH9N0UzMl1ZMAUJKxYfEffIPpZCwj5DxcFwNSypMwY0o5pGmBBXR3Ma6BmUFD6NKLvXPj/YS01EuSYXjTljwJQ0nQ536MpQDBi5zMUhM0XdECte5dGpciQTgZMeBjb3Udy5Vzp1T+TJJx/9NTU2QqLrnqadcx9LMWnoKTncF57oJfaXoScHJVJJKwX6mGWvDTuJaqSvhMje7MuGvsk9yMZuSIrmST1FIUpvyxHiCwfK1/DMMVIK1lifsPmfsLhMx5mOHv87Q5Nw7/A987Oh/5nWDX+CiOOSe/oe5b/i73D34+bn3YzW+p4BFiKsJMF404GKbcRWyFovmWmQDvpb0dG7+hj+rNlmLVWIZyFjH06I4t36GYH6u5lMryU7neBQtyKbMZiyEMEuBTbW0UsyzgNPQCG7qogJ05mSeM2TNsvdG7HsRlzvczxJr5RxnIkTcPr0qEQVQalZFUu1QGitClDQlZyICN6FUETIfoRTSFKnUM4ZbOgIJs8+JL5VYSW7kjFeG8qAhfjwd6XqMhFcg87wK18JckQpbtFq3VhQGWsX1ytBPjCNoCkvPK0N60vMvcknXZ2GGnrw59j4VqXBmWU526o45hYjLXjw5Mr48glePuPIHuAxG3/9XIAlkTDjKZksj/USQCoG2lp1E0VOSC9Ocg1xzOZ8ihWBoct4s3kFPug6mF8UhI6ZcJ0+wzyh6bi1PmQNulicZyITEJrx28LM8Ky6Hdwa3ytOcsbszvIp7+v+88XUN+/+ejW0AjLbj2pZGjnsvM7GKDPUFlrXYpIfI7HUbSk9X9t+4iuWQZesvOhZiVdnpClmLVmZZMxcsyBbUuHCWmYkGEFDcyNsBmNop6vZUKc3UlTiqjbviiJUmJUgIc81yQprmD8dDQzJTU8opSKNRxkL5jEf8FcaGEkgidQFOAlAJIKMw1fLHQmZEW1G8lbQHCqH7aSijhPm1J2G6Y5aO0l5B4qWmEWiQwpJKQ8+DlRNpXnAwxlo62ahxstGpV4C4ax3Z0x2z7CSGC1NFz5dqhloWlt1HuShatE/8W2WkRWG4FZqUnetaXrIjEcCzYyc7/c6R5sLEFOTM5yaGo9ySeJnpTuIkp2PtlCE7iXRKEe0cOcfa0FeS892EjpScUCmZMdwrvkgqJAMleUo+wx3qDHvCGWXtyyv8zfSPeJt6DyOjuUGe4EntShy5yLl/+FHO21OA4O7BB/mOuTBH1lxG3rwmgIWgvPkuapt+bOtvwMPYdmlk4R7Wtf9e9XEdQ0lk/roWTcq2mbWYW2sLPIxrwcdi0bFVzq+8hzXPrX+PXhhtyyFt5plXjMi5Me3mWv5gRdQNNC6H1DUkq9tD/Ek9KD3C+CoPI55TVrICIeJsQwwcjF9HR6TIJnWKtnKm/LIo4kyHNiXHIxwrepBE4+LOpbEhVyh3ZB4MhL1N/fHQBTVcn3r1Rvi5J02hNHEZDleeGGrJKJecSkvFS0e6rqZKUHQvBZeJyK1AmzLp10+cv8VYO8JmT1luGrgLznQUNw8kHelkpme7kr1UcJRbLk0dyHhqlDs1SCcYbtlCatpTspCrHumMgZLk1vIu9XYOTcYz2YRXiJv588mf+ccuuFPcyo/2fo4LYp9L4oiJNbyic4qnzAGvVjdEGQvJWbtX8CnuHvz80kxFiGsCWLSJqwU41gEY2y6NbAIuGuN5LomsLT/dZizkU7Tby1UncS6de0sgY1UXztp5F63ZYkwxdnUORhU4NHtPLM6CLJOdlsdsUYppLJHU9fsoSj/zGZQZ5Qglj6GuB0qctSiu99mHOmtvWwELpqI2CWPiUkhsqhVnIAJokJWbOzhQIbFFtiEuiYS+IRApVCKwoGJgFTgW8XlREjiLhmS2NPjqKT0jL3VS0RJkdLyb5rSQxs5mjIZeYpoZwV6q6UhXwuh5V1DXjdWZZ2krihJHsP8+yGXRxl1JJztVAg4yWQiqLC6boQ0OKKhSbDXMHYHzIHNunOe6Em0tfaW4PDV841BzaWrYSyV7qSQzhstZzuWpwVhIheLp6YSTaUJfCXZlSoLgQGe8Wr0TbR3BsysFXf9/gCbnGS7z5fy7/P3oP/Bw/hwGwwPDP+Se/i8XChBwhM0LIvhavMhLIdcawNjmuOYJrhLfou0c62YtamLVrMXiubbU3Oz59LTYFGTE9YhN9rTNckgxZ+UTb4uxzeuUhEv3+xIFSLgxL7P3Lo4vV4HUNSQLv89lQgpgYGbG1F0/0zF1UbmnwSZ8xtFT2CJbUXY49cTL6DE6wqTviBrZcM8YY9l5T42iCVl0TQAV4ed4L4G0WWQoGrIgbm33FUBHEmVNMiOZeBBhoMhSdKRhEnEswqwqel46nvjZ8zyTiZe9BlKmtoKBt+/e9yAhAK2RFuTei6KnrOsVIl0vkFS6/h+uROM6ngqCTNRlMALfIliC95Uz0cqMO3e2K9lNBH0lub6n2EnkrExVOEfOrnKcjFNJB3DkzxOJ4oZu140jYSATMqu5lGVkxnDa7tGzPV6mzvH1oz/l7sEHEUjO21O8YfALDGQCCM7avTlw8YIohWwjjiuT8XyBi6XAZl1wsUpso1FZFMeh/tiqYVbL69r2D9l2XDXZaetr1zy3SVTKBkjTmsQJUYagbUOy8Kk8Mr1qnLuh3FL1qhDC1gKlReWaOaVHDQiJHTibrnXnw2OJMhJyVqYaMhZBFQLMOWbGcs5iX6IECa7EoGdUHSFjEZQg4DucCjNzPmQzJKX1d4xfY46HNrIoc2hPxlS+NDI1jmjp+A+SYa6KckcsWU2k8T4VDrYMtQNzl6eKUS59WcR5U6TSqUic3FPTTxyn4/LUZTHc9e7annIkTgucTB1QOZVaTqSOzHl5ahnmjg7gnDYdoBhpJzUFx6/Q1qlLMmMZadeMbDdRnOooEukyIBezKVNjONVx0tZnpxOenWacTjq8pLNLbi2fHP0Gf2f+U/E8TsSUx/MDfubEr3L/6E84Y3e5IPYxOM+L1w1+AZiVl7ZRhrxogEU1tgkyVs1etCZrPh+Zi22URDbwtliakaiLDbIWS+dqfW5D6em2yyFLJaTRsbq0waJyyNK111SMrFIO8dGKOBlulG0IoXWf6uv6g7RVecTOlqsoQyqxiIsQO3BWVSNxJqPuscXKkdhbIlzjxnjehDJzAAZmVSGBZxFLT6vrhVIIBMMs51EhBEW5Y5InTE0yU0IBZsowAVBoK+d6hghRKjmkcAZWgbypPVhQXh0CjohpfVYiXBcAhQH2s4REWgbK0FfGAxpXntlJjPPVsE7xkRlnihW4GIF4eb5rGChXHhkox9sYa8HlqZOf5tYZeT03EUy141TspYKdxKk+pHC9QqRwXAjXjMyROJUQDLWlpxyBczeR9JXk4lSTG0s/EZxKOuyligsTw32T58ix7KqES/mUr2cXeM4e8o7+rzCcfpenzAESOGV3mYqMb+iLvKn3c1zf6XKrOINEMpBJpAYRfHDvfwPwX+SmIbaVzTiOhmjPS+ZiGyWRVeZdMVbNbFxTJM7nO6uwaRfUuXMrgogl1ZjW129ghT0/ZyXLUTle9gcpb8yrtEhfFlVyZpMJVlwumclEVCythbDznJI421AFOB4MFP4OUQkhLofEvUbiOYMqpJi/QgqNxxZkT0ovirpKWSI1qdQFX0NFHU2r60Agj1LMHbgTwasCXBOy3MhCJWIj9UginDokKEZi7oX25lZB8RHImdqKoqDTk8b7WLjMxUS7LEZw8OwnxpU3jCiIpruJQQoHIC5NnevmhYnjWRzmJSA5ymGqYTdxZl1jHbIU7s/PWgc4OlLwxCjjwiT3WQvNgZmSWTf2uXzC5UxzMZtynj0GImGoNS/t93ht9yw3qz1u6fR5/+6vFMAhgAuJZJcuT08nfGL4r8teIWIfUPzkzq/ySH6xeD3+i0FWTWwKLtoCjKuWuTjueB6yFtssm6wkPT1OEmfjXO3/DLfaSn3VcWvyLOyiD+4byE6XtVFvmzFoylgsyoDMZScq4GFdo6xqxJ1OQwTfjHYZmtL9skqcLOeTaK1mjgXSZTEHs2slSs9lQ6BUm7gW5yWQAYpySNX8y5UjyvdWWDuW3BbGXR6wdHxPEh2RSDvSOL6EkaRe4ZFUHrebw3td+KyFFLCTaEa5Klw4jR8nBfSUYT9TdLxZVlc6n4uxFoy18P1GBF1p2fWGWY5vodAGep5rAXC263gUuXWAIqhJuv7P2uJKIR0p2M8MY+0yPc6B03IyTbx3hbPxPp/06EjBMLecVh2UECghOd9JOZkmDJRirC3D3DIxDrx1pGAqMh63l7koDtkXw8LW+1TSwdghj9mL3Dv8HQDuGvwMHzv6de4d/g739P859w1/98VP3lw3rmb2Yhvg4prMWhyz/HTh+S1KT1vHMZVDji2uyhrLzy3MWNSoG5aNXdkoywhmbbS3r3mtU1hAPbiZH7v8daqdx4iFIKVa1qgaW8X+F8EOPJA7w826MLCKyJixOVVMDoWSvwEUbdQdeKgAioiHEVQgofxQPi+iACnu95J7UcpRXYQGZAEQGByhU+L5IqKcO+w399yPUBYJewmqEWudN0UgdvaUoRO9j3YSS1e6fYXyy5Wp29HlqeBk6sDVxAjO91xpJBGu+ZgbE0o9ziQr2HeHjqfX9SR9JRjllsuZZqSdzFTiSJuJFJxI3XoXsykGOJFITqiExyYjLmc5n8o/w5Vck0pBIgRPT6ZczDJuEac4Y3c5Y3ddu3RxmU+Of5tvaJeVEEhv4w0PDP+AuwcfLH6/a/ChohlZU3zPAosQmwCMFwq4aIxVsgJXQ356jLFuyeOql0O2KTtd55ptOm7Wrln9vgBQNJQuavuGLAIX0i7uT1KJuUzA3M17HtgUJYEKUGojOW2atwls1R2v8iXcz7MNyYLfQ5xpcNeamWsCOIiBCFBkLWwFnMTXNp0XYj6pFUoscfkklouW5MqwHxsdK8eGY2Pt/nYC1yLYfGdGFoqQYPEd1k09aVUJ14xMeZBjgES6Vui5DX09FEe5c/7MfPYlgJJAGO0oZ/19qmML+enZbsjYODDTV5azXcuNfWfI5bgW0Pf/JV6ZWg4y9zU1zib8TEexk8w+gYlwPUTG2nI6TdHWep8MwS2dPgJ4d/Iuxsa5cu4kir5UpEJywYw4k3Y4lXS4LA7JRY61U+4b/j53DT6IJudTo48gkPzkzq8C8MnRb/HJ0W9x3p7irsEH596DcVwbwEIIpEgWfh3/FtZslX6VwcXii+uvXXnOTYmcx8W1WDVrsSiusXLI0tim7HTVebbpZ7FKsqAJDNTdcBt8KxbO0zYWECurazcROKulknhfVQfORVyM2bnrVBmzGYs61806gubMvMLOXBuUIYFEGa6J26dXZaIBvMTZhrgPSbW04vqLUBA8lbQz44OyJGRBQs+QRLq+IQVgwN28A1gAirJIiNxzJ+LHPtaSgTJMtQMOQWYqhbuBT4wzzLJWMNXuZyUtUyPoqkhdA4y1I2dKLAeZ4NJUkpnSdMtamGin3JDC+ViMtCuNJAKu7wtOdhxhcyeBnURwlDuzrJ50/VAOclcmGWrDlTxjYiw7SjE2hpE/Praa3Foekg8hgStZTiol3+YZ7jefY6gNfzr8HSyGju3wusEv8q7+L/HA8A/42viv+IWTv8oZu8vIaO9d8cuA5qI45IHhH8y9b+K4NoBFi7hagONaBxfrEkivOpFzbgNbKIccx5o+2stLNyyHxLFm75CV9rNJF1OzYsmgjZ/FSkTOBdmMZaWTmGchbfNcTcTOBWtVAcA6USc5rWY9Ztasun/WgITik78RMwTO+GZf7d9RZhRMUQ4JYSqgJPag0EbO9RSp8iwAMt+aPTbHsrgshLayACep1N5bwpcWjJhpeBasvWN/jJDh0DUALPWALjbUElB0NB1p5QAJTvra9SDB4PgWISPRCc3VhDO8SvxXT/n5fBlk4kmbIbvRU+4xn++58onEZRMGieNMTA2+yZnbb0+VnU0zQ/EoL0+dLDUVjuyZeWlMTzki6UBJzqSd4s9qoCQdKdhLFTd1u6RCcE/nbnYSRSIEmTGcN2d4jXw7AyV5n5eT9myPO9OzXBaH3LnzfrTZ59Hpvn+9LJ8a/y8A/GD/n2MxvHrnZ+ae8zheMMCiKY4DYKyTvViV1LlJHIsz5yaxZtbiavcQuboZhuPtHbJ07DZiG23UW61TLS20uKZ6MwmZgaabfcUQax2eRTX7MLd2SwJnNdMQogpYZjILK0hX60BFcU7MGluVa8sZ/wsbAZA5H4xIehp+rnI3QoRzARyEcalXhSSehJkZ5ZuL1TyeKLsRShVhj7mR5FYUmZTwLIUMRthjFqlDlLB0fDkkFZap7xnSU9aXF6TjQ0hXHjnIXcZhoAwjLXhm7Eoi2gpOpIaj3F0LJUci84DjIJMcZIKOcpyMo1ww0oITqetaavz4Ye68K1xrdct+ZkkldH1mMPHfTySS0x3XhCyVgp5yWZXMuvEDLzV5YjxhapynhjZwkGuesPs8Y44A51/x3eyI3FruUOfQaIbaIJG8jBv4iZ1fZSoyLopDPjX+N1g75aI4RAL3Df+AxC7+f3nj/yWEEN8SQtwnhPiyEOKL/tgZIcRfCiEe9t9Pb7rOsjiOLMa6AGNba6+9zqolkVWyFsdQqpldc8skznXXWqcc8nz1Dmkby/wsFpU+FsWWjLJaETjbKkOWXNe8ic0bki2Tqjadb/P4q/LOpusCSKgbF27yVZ5FnRV4MMkC5soXsUFVfKy6bgAo2ngA4NumayuxeNDh53alDmZKLkBRCgnlkjDeuWMGDsOsUZb25E0lDRbnZZFbUWQqcr/HzIpCDVIoQqwrSyTCFmqQzDoJ6U39vHhcAgcYpkbQ8SWRVFhSQSEXTSVF23UoAcZRTqEWUcLJTQHvVeHKJuHdpn2mYmIc78KpSgyZdWRObS1PTSYMtXUZiyRF+QzFxSxHAqftDufkDgrBTeIUfVLGRrvMi7AMdc4NYo+nzAHPmAMsBovhlYP3AHDG7nJZDLlz56c4a/fm3itxbOsu/EPW2uei3/8l8NfW2v9BCPEv/e//7ZbWWhoxuDA2v1rLFiFkgjWL1xUiwS7ZW5sxq0bjnDKBJXsuJ0mgOkfd9S3mtDJBtF23mFeB0cvHQf1eNw0pVy8TbDmsVIhFz8E6e1w0PhSDlx1rE+F/9vB94ZgG4qWwy7kPG0ToxxH35YBZB84mPwrkLHgQ0tSWMpZxKELEn/SXXR/Im6FjqYgARNxQLJ5DCIsxCq0lShmMqQcklsCNmF+3KIlEe63KV91cDhRUeRZKGkQAG9FbKt63kuXc2sriLRRKIcEoC/zbKnrcHWkw2rlupr7VuhTOjTPYdQcb8IEqW64LIZx/hV8rN4JeathJShCxn8nCT2OkBbuJewAd6Sy/e9IBjaF1RlnauAyFtdBLITfua4orOxgr6CkHRsZeZqqEoK8EY+06mjpZqfsSEkY2J0EwNZbLWU5uDV2pGChJHwechtOcU6ni2alhoCQ92eFyPuW7+SGnGNCXimfMEXv0GciEockxwCX2uXPnA3x69DtY41quPyz7c++BmffDwrPrxweAj/ifPwL8zDGtszS2kcU4rszFsfIttpW5eT64FpVYWg7ZUv+QrahD4mjqHdLGhfO4YxM/i0VRNIVY7bKl027QunyTKABCUaZYvI+FDppRqaQ6rm1pZlEJpW6etuAF8KCiVIzETcusnSdcuvXKm33sPeFu/FX1ibuZxiApZC3CsWCUFd5G4fpkRrniOR9QuGiG6wPQ6EZS2MQDicC3COqRozwh8VmKLGQvPM/C2XknheQUXGajnxhGWjL1/hVDLUk8P2OsHQ8iN/hOps7i2+D6goDLWuRW0JFwsuNwucU1I0ul85gIWYxUOs+LVIgi8zFIBKc6rn9IRwq0daqQc0mXU0kHJWCgnPrDWMvFbIq2lkNtuL7T5bHJCGMtV/KcK3nGPiN26GCAT+Z/zi5dBjJBCMFAJuyLIQAd28GYA97V/yVesfNeXt6/Z+F7aRt//hb4CyHEl4QQv+qPXW+tfdL//BRw/RbW2Si2BTBWGr8lcLHpGq3X3LSMsy2uxYYlhZU8La7Vcshx2Xsvuv64wEYbPwsfrcohjeusZojV5mZebW7WNpaVaGYkpy0sxd0xU6Trwxwi8p8o555/XKaSMZlxtTSz79lwQw78CFV5XqtlFFn5Dg4gKGEKDgUEQDA7rnptYfEduYBqK8mtREdZIOdL4VQg1UxM/HMsNQ3rBAKn8hmL3EhS4cy04kZkpzo5iYxKK55Y2lel0iX35Z3Uq0d2PDkz94qSiRYMc9c6feC7oToXUAqwIXClEIEjcCbCdTgd5q7k4UytXIIwM5aj3LoSiIBh7sCDK/U4wABwaHKu2DEdoehKwa6SRRbmdJryufzjXGHILn0Egl2Z8Eb5w1wWQ54xRwx1zlPmgHtHf8xpX/Z45c5PsysTurZH1/ZYFNsAFu+01r4ReC/w3wghfjA+aa21MA91hRC/KoT4ohDii889e7iFbbSLTQHG8wEu1gYfx5m1OG6uxfMUW+94uu2YyXAcI6djmzyLbScb2nY6XRJVY6oSRLTgUTQoQ9YCRnHZZIEypLr2fNYj3JzlzDFrxUzn0lBaUQXptLT0rnscMdkzlENi7sWsRfgsATTuARIyFsV5yixIbDkepKkz5lnF/NHTVinJBO5IMLXSBUiRvquo73BqnfQzZD1UlLEI+47fGUI4pUhHulKLtoKOssX8Yy0Za9dO3c0Hu4nrFyIFnOlaRrlrFAZwkAvfDdWN7XpFSFeV2YugEjEWRrllpK3rVZII9lJXAjnIHHdECsFz+ZihzulJRU86oHBa9pFCcDHLeWY65Sv5Y3RQZMZyT/o+rpMnnAwVByb2xRFfGX2Uv5/8EZfEEUZYfnr3n7Evhtw/+hO6tscn8z/ntN3j/tGfsCg2/t/RWvtd//0Z4KPA9wNPCyFudC+KuBF4pua6X7PWvtla++Zz53c33cbKcTXBxTbm3HZJZCtZi+MECJWb5tVsp77V61Ysh2w1tuVnUcy3JthoQ+5cxdq7ODCrwpi/oCXhsnq9vxkWmY267EGDMmStaJmxcMfLm7gQ8z1DZqZtYS9ezGMlUtrimnCTlzXXaisLsBFASp1RVrjxz5ZqfEkknKMcW1iAi7LNehyq8pzEduJBXmqsKJuTAT2lC6OsVLoVUmnoekvv0hOjNN4KLcwz4wBGyIpYT8AsSZiarjIYCyc7hql2nhZdaTnMBVcyZ8BlbPm4XW8RR9ocawrGyn7mfp96981B4s5NjStjTLS7xnVXdY8/s5adRHAqSbkh7XNjr8OpVKGkV4kIQU9KOlKyqxLOm3NoLDuJRFtLTwaeiuRG5fqF/Gj/n2HMAfdP/oIbxB65tdw7/lPe0fvHPDD6GG+UP8whI6wdL3xPbfQ/mhBiRwhxIvwM/DhwP/DHwC/5Yb8E/NEm6xxXbJK9WAVcrNod9ZqMtlyLY5SerhJbU4esExvMt4qfxeyaGxhgbRJ1YKPsFrWdKJqFbbjfuexCkwLEp7o3MNaqOnDG4KZ6rm4/jS3YZz7ZixkzrfJGO5+BCDHDg4gMrsI15V5sMb4OXMTzhfFz0lbqgY1rOT57zJU17My11bbsbq4SsBQlG1F2OnXXlje2zEtSi8ZkhDKKnVGIhPKIAykWJfDlIFv08wA4kZjCvyKzrhlZ178GBlcacSDGSUcn2q3ZU678cSI19JX1fUUsHb/R8F34kkiw9xYIzncVg0RwmJsCkOxnLjuSGVc6sbgSSW4c52IvSZBCcCXPuKhHHGpXIjmddDjKDbktFSW7dDHggYThzp0P8EPdD/E35nM8o494yeDtfCH/BG/v/SIJgl363L77nsb3BGyuCrke+Khw/5EkwL+11n5CCPEF4HeEEP8c+DbwCxuuc6whRbKWemTbqo1l8y06v1CJ0qCM2IpCZN1YQ62xloJkg/WA1gqUpSqNqxl1ipC2KpG217aZr43qo01ssdNoq4gyFtaIqPvprBJlkbKjuDaAgIo7Z60JVoueIU1R50sRlCFxhBJGyDjE9tvGqBnyZuBZBDlprAoJJllxSSQGKmGOgOV0VLaIVS5VtQvMljicZbYsHDehVI0oYZ2KIsqMKGmYaoXBky6tU3QEQ6+4RCL9Xoa5oueVIdoKn2GwhfumK5O4LIq2ZV0/ZEcUUZkFCpOsroJUupzM1LhSiBCC/UzMeFi459bxJTID53vCZ0zKMonzughZJEiEIFWCrhRMjCVFeIMt11rdWMg1nEk7jE3CUOfsiJSR1qRS0pWK5/SQPu4D49houkJySRzx6PjT7HV+ilPqZsZmzJ45xc3Je/iS/iv/bEt+PHkf32p4L4bndu2w1n7DWvt6/3WXtfb/7o9fsNb+iLX2FdbaH7XWXlw8k0AItfTrOGPd7MWqmYttzrfO/BtFW67FtvaxqqfFCrEVdcjzpeK4WjyLY4i1KjFFSWL9FMhK1zZlMpYpQ2qO12Us6s67n6OMwQpdUuOySaMEtjJXbH4Vsh1Qlk+qEatCassjNdmkJq+NwqdihjtRApw4c1Etq0h/a9O+NBGUJ1C6bIYySDimfIOy8LvxWQ7tAVZXOpMswJdB3JwhC9KT3lvD70MbpwhxoMSZek2Na1TmMh9u7VOpQQkYacFEC281DjsJvrdIeC1C4zHB+Z4DCKnE24P7UgouM6Gt61QaEoUHueEod0oaJRwgOcqdp4WxlmezCVf0FClcE7Kx1VzRU7pS0iVFIDiZdEiF5Fkz5P7JJ7i5/yYmYspL9C3cyGkeGH+CERNG0+9wfedVjKbf4T7zrdr3SYjniYG2XlwNkHEtgIttrTV74TFyLdrE1SiHXKvlpueTZ1EXy4yyimNbzBSsY5S1FghZE3ws4lMsUYa0IYvG/hczxxcBATkPBOLzZTZk/gbeVOapGleV2YnyyVbKzIKNqMxRcCIiQmfVybPOsTM4ecb9P+o6pobupUVWQprC9yJIWEMpI5azBn4EuLdNMLrKIsASIn5mDL6XiLRkxvk9AL6UIQr5aSps0S8EXGnDNRArHTyPcln0/wjZjtzzIgKHIvcZkdwK12BMuPOhFDI1rmdIbiCRTmpq/fGwb2tDtgV2EsleqtjPNE+MJ+Sed9ERikt6yrm0w0nVAXB8Cf6WQzHiQj5BAodMGGlNV0q+kv0lb+38DHeaO5BITicdEiG4ZfAWBvS4dfeH+e7oS7xv919wvbmu9v1VvAcWnr2G4zizGc83uDg2IufVjDb7OGZ1yNWWnW58jY+t+lls3eZ7AdjYdKlNem80OXIWKosgqV1M+Gx0xWyztwUckDYZi0V7qSsZ1AGQ4tqq4qVysw9ciyaORd01cShhZjgQtgI0wjEosw2xe6ZrZW6KrIX0mYVy7dk9Bh8LE4GdIDl1+ymtu8Ms4RkIIClcm0RZC6Ixwe+t73uFVPuQSOEzDf75Tj0fI4zoSKcE6RUlFHe857uZ7iYu0xBWTSVF1iIQM48y68yyjOdY+D1J4cZmBnZSwV5H+FKKm+10J+HGXocTiWSYW3YTxUt6Pe8gKhjbHCkEr+ZN7No+EgeYNBopBEOtub37Fk5IByZ2bZ8L+YRLZsxJc5YxU27Tt5PrS2TG8ID9m7n3RBwvWGBRjeMAF6sCjG2qRY5DebKV7qebSE+34GmxTc+L7bRLP+ayxLpzbtJ8bJs9Qtpctko2o0EZUkTDzb1tKWQVyelcrJAtaQNU6jIWTf1K5mWv9eTNcO0iQmY8/4xBli9fhAg3/mo5o3Z/fs1Y7VEQP6M56zIfIYsRh7FlViNcF0oeMro+ZC+AAriEviEhmzExksSrbZQM2Y+SBDo1DnRIHOEzGGZNjPClDlmQP7UnfBoccTMJeLZQhZR7HutQAnHfdxLY67i+IuEaJSj4FoNEsJs4A63MuMzFRLtyyUgbtD92OZ860GHczwDnkx7GWq5LBpxWrvRxUqWcE7uFg+ft9kYkMLGGBEFfJHwx+xh7doepyEgQ/Mjgf8VFO+QtcsZVYi5eNMACjqdUclzg4jhLIlvLWlwr2Y9VYpPeIdd6bGqEte1Yt7dIcf0qYyuZh8ZxLR0sKy3Lr1YsbYW+ogPnLHdh9mZeJx8NUZcBAddjJCZwBlfLavYi9qcw0dgqYKkCAjdHWQqJyyGxbNUuwV2BXxHmjz0rgtV3ABDhZ+3NsoTnV1QzGirKwCRRp9dQrgCf7cC1b4+3GECIErYw8uoql33IvCunFOWfisUrSwxeAlseSyXspa48kpvQ2MxylFkmxpIZy9RYcj+2pwSZcaZZuYUdlTI2hiu55kza4VDnHHnS5pV8ytBovi4f5kBnpFJirUVby0AphBCkvlQ6tBnvTD/AmClfzz7DTb0uY5vzlezPGS8hwr+ogEUcV4Pw2bz21WlEtt6kVzFrcQ2UQ1aKdZw2/0vUR5sW6m2iaeyiT/wtwEVbE625cUs+6cPiEsVGzqLMczUWcTTmrq3wK+LvxfGINLrIPjzmUczNEeaWpYS0Olcgb0LpiwEU/Irg+xD4HRL3lfgSTOg5UjYvi/ZGCTSCx0UotQhKi+4QcUkklEBcpkIW552/hShARR7UJnbWYCtkLQIXI/wZBImqtq5k4q5zRlhSlOct3s/ClNdLoK8E/SSsUQId18HUciKV9JQg9xLSgZJcMiOG2jCQilQIxkZzQqV8UzzOK/TLybFc1hOumClDm9FTbsw3eYr75Zc5EEMSITktBrwh+VGeHE/ZF4dk+bN8Ifv43Htj5vVdePZFENsAGMfFufiezFpsYb6NSJ7rAplNeRbHSOBcC+g8HwTOFaLp5riKuqN159NjjoU8iiUZjLm5ZLCTnr1uXc+N+eZmBqV0I6gI5ZCqD0VMyqxrQlYdGytDAl8jdDkt+4RE+/TZCUNZflGyHFu1F499NXK/pyA5DdOGDEVQf1jrOpQ6ACC8g2cJUkLL9eC+GR5vsAePVSnGlvLQVDouRld68OA30FXln1dXuVKIEq68cZTDKC95Fq47qi16hgSSaF9JtHHlkItTJ+rtKYmxcNY3CkulQAiB8QufN+fRWAb+/8IjMWYgUp6aTNDWcIknee7oSzycf57MOgl9n5T/NPr14vV4e/q+2te2eI0Xnn0RxTbAxTZbsofYlMh5TcWWFCsr8yiOyYVznRv2NcWzeD7ieSRwFhF8F2L/iZo1NgEeTVyHNtfMHCsUMM3zrJrlWNYIrfCYEHaupGKtxNpZP4pYzWErJYyYtNkIJLAzN/4YzIS5Y6ASbrzVpFd8XWZk2QckKqEE0BHehrnvBVLtdxKAQHXv2jhzq5CJUJ6wafx+bEGkdD0/giIklbaYVxIahoXH7L7G2mUoQhOyvrI+G0Lx1VMOZGhrUUF2KqLnxP9LCv6FK4EADCOPn6kxdKQkFY7kOdQ5Q6Y8p0c8K59FY3jOHtITCXckpzBYHlGPAvAKcxfX7Xw/p9Jb6QjFg/KhYt6H888DcFEsbsPxPQMs4OqXR65GSWStrMVxlUNqxz3/wOg4bvbH7WfRqAxZpSFZ22tWXec4OBXH+T9R9YZ3tQ231og2NtxtxhlTAoe6sXXun009Q8LNOSZtLjIJqztezZAEGems9NTdSMPNtNonJGQ26h5LaJwWzx+4G8EgCyiMrwIvouiSipN1KuHNrTwAkX79iZFFGSLzKpfMr6FkacCVGUjFLD9jYoR3FHVgK2RDBBQy18w4bsVOEoit/nHgfCqkBxNClIDDWCdLvb7TJZWCsTZMvLOmEoIDndOVirOyzwnR5UZzA2dUly+P/6jgSmhruE2/lBEZOZpXmLs4b28hEYIb9C08qr7JuZ03sZu6fqL3Dv9D7Wse4nsKWITYBFwcB5nzmpGINsU1WA7ZKNaVnV5rcZxkzTpXzXXBRpttruJfFT59rth5tJoxmCsfHHPppMnLou6Gv3qJpJ7EWTW8in0f4hvwDP8iIn2G0NHe47JHiLh3SF05YlmEUgUwUw6J26nH/UCqj8dd5/fvAUJw4pyRscIcnTTmZ3RlWRIJ82eeMxHKNwE8CMoyhbUu2xEDkxCZcVkDVTymEjwF3oUuMiHlMUFJ6JzZrwcVHel4F8F9M0hP91LFCZWQGePmxPUM6SuFBc6oLlIIbhi8EYBnsgkjMjooTss+95vPkaM5YQdk1rJLl5G9wp3mdQzzC61ez+9JYAFXF1xsI67JrMUxxtWUnV61aOJZzIw5Zg+L45aXrhprLLOyMmRJKWTOv2ENyWk7+WjDOnVjNyR5tok6062mPQR1SN21Tdc0relKMMzNVwUiIdNQbXJWjcCTACJwwoyfReKf+6IDqjQzJM6gFIGynKGjeYUvf6Q+g5FKW5REUsFMd9TAtQjXupKJAwsTU2ZMjC8AlZwP97O2FKWO8OUkqQ48CEShKLEWEilIPbAfa+MajCnBQCkOcudTUe5NkFnLfp4xNJfI0Wg0IzFhTEZmDXfKtzIRGeeTHo+Kx/iOfIIb7R08KZ9iOPlW4+sQx/cssICrBy5etFmLF6s6pCmOyyhrC6DoeVOqLAIgC5Qh8/NsvpVGk6wtz9vqmg2AwbYksGGeWOlRvXHH3ImZc2aWgFkHJOLMhIpIpQEI2AZA0CR1rXPsXEZ8jc/rqDwTeBYxjyKURWKTLRPNFRQh4LIM7rjjWEjczT6RITtiCxVHIm3ZzKyyXW1dG/RUuGyIa0ZmC28KKMsgUy89HSSBZ1H6XODnVkIUpM/cS06lgIFyXhQTY7gwzV2zMmM4tM5hc2wMuS+NXDIjpmjeJt/BgA5dEk7YAT1SjLV0STltd9DWctE8xjeOPs6uHXDZPsGZwes5M3h942tSvJZLR7zI47+AixdpXG0C5zEYZW3VgbMuNmmhvihaTPt89Qw59lghK9EUjkA5f/OtmmTVRVtAE26+sUeFAwL1jp3l3sSMKqSxCVsFJFQ5EUK4NuhV4mYcMxbgtX4YdoYYairZDVUBHWHO6jHjx6bSkkR9RcBJQwP/InbjzG1oxzYLXhLhnpPEy0RD63WDAxhd6csmNkhVg324AxohQ6GtI3tmwcfCOHVHsP5OhfCZCvd7aHw2UIq9JCG3lonRDiwAXSlLKSoddkTKqVTRl4oJOal35kiEpEeKxfKIfZqXiLt4R/9XuCz3ycyQ3IzJzJDXDX6x9jUrXruFZ79H4vnyu1g1XlTlkKsMoo6dwHncselabUHKtSg5vUb+l1rWM6TdHNsHRW3ARDV7MN+OPJQiTO01cXv06nVNmYm6fcWOmVWFyExppCpn9c3Hyn2EG3o47/uKVPgfsQmWksY7Y5paEBLkp3m0j1TGQMSBggBCBBQdTZ0nhaWjzAyo6ipbNCZzPUJmyyax/LSnXAYkgIyyERmFGZbFgQwDWE8APcoNh7nxc4jCKrwrFXtJSldK+srxLJxSRCKF4Cg3DE1Ol4QRGRfFIbk1JELy9/azPGG+7p4DJA8efZSD8cMIoTgYP8wZuzv32sZxTXxEFoiFn/7XaWm+8h6EwtrV216v0nJ9223Wr4mQKZhs9ti6LcorMdcmvdLCfKM26ouiZav05y2WtSxv2yL9+Yi4+H0NxFwLc2mPVTWykB8SrV1VWyxSX6y8hwq3oa40IaVF6/lxsbIiRFxSCWPjbqdNe4/XDZ//4yZkJWhwN2fpUwSlT0Y5lxAWvJ+EAQgES792OJ5bQeL3aJl/K7oSiLs2ZC4SUZZGlIDMlrJT54wZwJd/LgDj1+14pUjqH0tug0GXKMmZOOvvUFoJJZLgV5FpV8IQuPVyS7EeviQz0ppEJEgBV7KcVEqXsZCSrnRlEissQ22YWs3E5uQYviMf5tXmLkZiwo7tMSYDC2+V7yazmoscMiLjrsGHAHjcPshe704mvAicN4/LQ6Ia62Yutrm3TXwt1so0rCQx3eBxXg2exSqf6q81Tse1SD5dVQWyrczGcagzGj7VzylD2oCKLd3g28QqBE8hbSUr4V4/Y0rL7brr4kZi1fmrjcWKa2gGJ2X2I+JsVOSkbr3ZxyMr18TOmsvIm7GMNJ4rEDANjtgpiRQuOGJlIkqL76C4UBUAFdw1nUEYjLUs1B2Bd2GB3MtPA6HUcU4cGDB+jPJ/VkH5YWxp7w2BS1H2CLGezFnagTtLbxs4F1KwmygGiUBby9R/QE6FJPM+F7mxjI1lYgw7KkUiOSsH/rFJdmyPXdEFoEvCjlIM/P/ZEsHNnOW8PcWV0VeRIqW7JCfxggAWIQLAOE6QcdxlkedLdbEqf+NaUYdsFFviWczOuT0HzuctNlGBHCfvYwPexbFFHZGywnVoU4poIzFtE8uah8XzV8mbdU3C6vqAhIj7hTTtvckaPJZ4xiZcVU+KupiRm1JfgkmEmeEGayML4qg2pcFXXAqBkneRGelLGO73iedPGF/qUNIWDpwxIXNqZNFQLPhIaCtIpFOMCGGZ+tKFBCYG3/ZcMNXOjXOiyzktbmyQmwoo3DWVcI6amfUt4I1btyPd9WMvMU2koKeEN/MSnEk79KQkEYKpMUyM5SDXHGqXyUiEM9mSwCmu54RKkEgEkKHpCMV38iuMjOa7PERK4jIg5Lx8532ck7fRWXKfXPt/CSHErUKI/ySE+KoQ4gEhxP/eH//vhRDfFUJ82X/95LprLIrjBBjrgIurmbV40cQL5HEeF5eiDTlzYwLn1W5M9v9v79xjpMnO8v57T1X1ZWa++S67ay/eXXu99jpkLV8gjmWySKyNQtYXbmEDJJBwi0ARSBARRST/RImUPxIpkESJnDisjYNIwDGGAFnbImBzMTFhMdhrsvgqG6+9u9+3320uPdNdVefNH+ecqurq6stcu7+deqTRdNfl1Kmqnqm33/d5n2caTnsa02zKaxoYh/YMOfQ2J1cHWlTW+yAEz4CqOFYgcE6dR0PmowljXSmMBz1OQGp6+cRS7hv8QKJASPXbmmIs1246xsHABRciWnAqbOWn5Ja4wGHfGhJP4Ey9OqdVR0DNfFCS+tKHrVyd1IqX2VaGVugWCp2lq2l4D64zJOhYON6GsB4bx68oOB7O6RQoVDiDy6kt5qy+tTRnZC1bNsXgshs3sxFDUr6iW2zxnBPSwrCvOX+8/14U6NPlqmzzUn0lAPs2Z0cGvNC+gE17nl2tlb9rOMqfewb8pKo+ALwB+FERecCv+xlVfa3/eewIx5iLE5PaPsHMxVGzAcdeDjkIjtJ2eizHn6NnMQOnSbY80rEqwYDM40qsSuAwDQdpOT0FzNXA8CiCBD389T2sR8isdtMmPsRsu3I7sa5KtjQNyxZFIEBOE/iql1iqxwxiU9POxyLFR6f+EQpiVLOQ1vQsqlkT9csjzwWJRema0usjlDmgDDScrLfQNbYgcIZrUB4zGJhpUf7oRaXeRcg4xCEgqsw3SHfbCnfDqiN0dowvmQCDXNnz0ch6XHaFxOK6RsJ7BTrGcD7ueC6HCzQA1kxMjMGocK99OSNrORcl9PwzT4A1SXhWvsh56fO7e4/ycfkYa9rnU+YTfGzvv/Ep84mZ1//QfzWq+rSqfsy/3gaeBO467HhHxTJEq05yDieRtThod8ix4xA8iyMZjh3wWGM4VMnjhKW958zp2AKng57HkbMqB9l2ysO6KE9M8g7G3x/MVn3a+8NimvrmLFTPYVYppBT8mtymrqQ5sW+dE1HTsWg6dv19ddtZolbThLamdYVUyyb17YPLqeu8cIFOXJtXte20+lGrjhW2SaqaFJXtI1E6xhL5MkiY08gKaSifiHvficr1oe10ZN1Df2SFyLjgohtpETQEroU7lj9v/7OXKzupMspd6WPf/+4YJ/EdG+jHUrigJsa5nDrdCohF6BDRM4bn0hGJ/3u9XTYwGFLNyVUxIqx17mJXU34ve4xndz/KE/Jx7t54iN30CjERO+mzADy3+8fMwrH8JxSRe4GvAf7QL/oxEfmEiLxTRC4exzEWwXFnL5ZdEpmF08haLIVncdRukiMYkh0Gt5SFelMAcKtpWRT7Hm9JofhmP+UBfCA9ilk6E9NKNAfkXMw7//pDvRooNBEyq50b1koh611vJy38QaboSjS9ry+fxxMRnx3IrRSZiXobaZUAmvusUj2LEDpYwscst4aRdVyCxNiCZxHcSoNLaS+yRUAQGS2InIEImnhX1cTzKnr+s+FMxKwvvVB0naQKu5krgyQ+AOlF+Hm4jMbIuh8jjkux55vSIinbS3uRsJmYgmMRJMH3c9hKHZdiJ1V2s9zzKJwS557NSbFEIlic6uY56bKrKTdkiy9ET7FvM67aAfdFX8uW7LCZvIhu8iK20q/w8vxl3B9/HSMyXhW9ka5fNwtH/q8iIhvALwM/oapbwNuBlwGvBZ4G/s2U/X5YRB4XkcevXNk66jTGsOzgYrFxW8EsYPLBvwKZp7m4lYKJw6DRJ2TJJY3jjn/mZCBOy3JdGoiVdTRlS2aVdOqKlGPHqzzs610YASG7Ya0UY034czRwLMJ4TZoXVSGrci7l62owELYPAlrj58bYdq5kUp5Tk5ZFoa5ZGaeYo3/f8RyNzPMuHF+jlPeu8jYiUfYyUzEvK8cO47ogwi1LreNBiLj5jnI33siWJM7QIRJ5UmgvcuURx88QNhOXCcG/D/4g4JQ6Q/ZCBPqR23CQ5yTGsBHFJBhuZKm/dk7ue0jKngy4377EdYbQQTBs6gY3R0/xiuRBLiYvYZcRV+Qpd14kvCJ5kFckDzILR/pzFZEEF1T8gqq+D0BVn1XVXFUt8F+A1zftq6rvUNXXqerr7rhj8yjTaMQySyOrUJaZhmMphyybZ9FifvnhKOWJk+ZtLJEWUjyQFw0cpvqIzN+/qOvPONasEsui3SZHkQ9vFraaDCznZRlCN0Y1s9G0T5jvRBeJ2IJzMUvzIgQjRSaDQIYsA7RqEFTNNERhfMaDjFh0oovFkTvDuUx2sQQn047PaLj2UGFkhUzLNtReZAueRde4DMW+7xCx6oKLoq0Ul7UIapvggotu5DMaeanM6eZZqniCI3AacXwKAc7FMRuxYTOJ2IhiIoTzUYdcLQpclDVus7fTMYauGFIsBsOlqMsrkgexWJ7e/Qh/mn6Aq8PP8Xn5JDdlm6vyzMT9qePQ//lFRIBHgSdV9acry79KVZ/2b78d+ORhj3FUhAf8UQW2DiueNX/c56Fg1jyYGA4oanWcQlhqImSK+NVh1y2EKaJbasx8guaqIrDN5i1bIYixjd/261LW03AQrsUiolZBoGuhbSvbTDuPacc1Rid4E3WvkLCvtVGxT1Ukq1FIyxMgjSj415GxY26o9bnUuRhhHPexce/zWiARukSML5O4cSi2DR0gIcAweDEsYwuBrNQfR/w+vShHRNnN4smykJ9/Zk0RYIys0I8sal3wktrSn8Sqk/9WhRwpyidbI0NsXFATZLc7xpVKRNXPwxmLhQChUOj0BM7Mhg6XUv3T4szH9nMly0KWQ7g+ytixGRfjDmuxkwDP1XmFpJqzJhEZjn/RM4a7ZINBnvuyjWVHtrCcRzD0tct9629mXTd8JmOdnJw/H/05t3XunPgsjH0uZq6djQeBvwu8qdZa+q9F5AkR+QTwRuAfHuEYK4NVlP1+3vIs5h3zCJ0hp4mp/IuDLp+Hw2QYluloughmEBEXH2NOy2l12UGNvxbooFiky2IR6/ajlGVUzURnSKHxUPkdlo899Gtza8pA2EqQUh5zMmCZhrBdrqbWclrjUdjAo7ATHiJRZe7V8yu6L0QLGe3Yl0oSL+s9yqNCYCvsP/JdIYlRn30IWZHSlRQ8uVLduQ9zU1irdyJLZsvAKFy1IOsd9g0W6amVIhMR1gdCp5GSSJpauDLMuZlaOgbWY0/alOCMquzYjD1GAAwyZStVtlLLuTjiXJSQGOFi1AHgej4iV2WgGQNN2ZAuQ9njL+xVbpqr9Ojwcr2H6+YK180VtmSX86bHa5K/wXVzZeZ9PfR/ZFX9fWhg8MCJtpceBgeR3V61Y4qJ0ZOQrW4xH4eR9j4uOe1VkeVelXkcBvVv9KKgMvFNf0LWuwFhfX3bg2YOJrapH7t4INkic1DM4YDtoGEcaO7yCPMLmYtsTIbbAtHYtvkMXkd40AcfjmlzrZYqqtbpghYkTBF16uZe2ju0tE5KhVM8tV1WwpJ6A7fY2OJ8QsYi9+WaMN9A7izIrLhv2irhfH0wIk5bIWhLuOyHCwbEqOv0COPjWlcH1hCLazfNVdjNpPATseoImbHBeYl4cmdVcTOIZMG4rkXXCIm4YCJTGNkg5KUkItyRdFE69CJhkKk3O3MdHxbHxRhZV9u5Pe66QIMOA5tzQ/d4pd7PZd3mizsf4s7+9/BlbvLUzoeJo9u4u/M29jVjgy7P7H186mcBllrtPF0cB+/hJLIWzwuFy1XDrSzt3YAzKZJ1HO2d9cxE/WFXb0VtylqEh109a3CITMpBsi8u09C8/TTuwqyxmtpNpxmHidjG0lCTrXn1fZW4Wc9gTEOTQFZhfd5AEA3Lm8oyrpPEFIHN0Et4B3Mx48cO2YrUGhJjvXcHxe9elJNbqbWblt+iR1bYy8X7gZbdI0NfshjkxgUQ4AW1YCNWJ56lpax3rk6Jcz93JYvElJwKd03Kn5F1QcJmYoiNsJ0qN0fKMIeRtTyXjhjk1itwCjdTy8jaQrvi4/p5ns632EpztrKUm3mKERjklmfyXR7Xj9AhZsemrNFDJOK89Ohql/Xuy7i7/zrOmx6Zvyd39f/K1HsKZyiwgNMnVZ6Ov8nBj3FiehZNBM6F9luCqNcx4pZqOV11hP9Ih0n/1x+u88Swwrf4WUHMnBLJooJbjUM3BQNFCciOZxcq16Ppodq03USbZ60DpVoSCVmBWaqZ1UyE88wYL6k0ETebxqsGRkEoS3DLtUYCDevDHHM1ZBoyEZPzLBRCga5/HQicEISqDKlK0XIa9i+UNz15E1xZY5AbP28XfAglgdKqEBmnyBnKFiGAGeVl9qGagQDYz6UwMquuD7yKUBYJP7mF1AcXVTGsTJW1yHAp7jC0lt3MMrKOP9GPIu8xIrxG7uNOc46BzemaiJ5EfCG9yeV8l9vMGg/wV9mSHbZk11/blGs64KKs83rzRr6w80G27Yinoi+TYrk8+jSzcKYCC1jNjo15wcFh205PNBuy6JxW8HofC5YVTBxVJOs4tCyWnQGpBx3TRLGCl8c8cajigXvw8zqIX0gds421xjMWgeA5bYzit51UvKyWQyaEsCqlkOqxp6HUwChLCtXlQJE1CMvNVO2O8fZRYbw7ozrHEGyYIgApfURCZiOrlDmCX0jQpoiNLQIHcEFHFLIXUHAsQsbBjetUODvBbt0HH0bgXOxKpKHTJBIKPQsRt99+CDY06E2UJZGOUSJTCRz8j1J2hQS/kFwhVRfYVAWyUgs97xOSVIzILiSmCDpuZjnXsxFbWUokQiKG63aPkebcLhus02HHpmRY7o9vR7G8IOkChh4deiZygUjnbv7P8L38xeAP+Mjeu/ja6BunfkbCtWtxAJxEOWTVO0Pack0DVtlWfRZOii+xhGCjIGGGjEP9QR1q7GF9eAjW/EKK8Q5K4Gyc06ySROBpHM68bBGOhZhJF1MtvuFPdmdUswGLIoyTqykCk3qb56x9Q9YiSHsXY9AsEV7oYxCyDtZpXDBeLgklD6CwPE+MJVUpgo5RHhXBS1rhYFQ/vYlRkkL0yq0Lkt8jazAosSnnE4KU2O8XOBc947IbqRUyC2u+7TS0mQ4yKeRhBlk4hzJbMcxdkJEYOBcbcgvXRrlzSvWZi04kpBoUOW3hGZKr41O8sBvzVZ0uOUovMkQiXDR9MpSN2D3LcnLu65zjy+kun9z7dd639XY68R18dPQrqCoDm/G66Jt4Ze9hXtl7GCPrfGTvXTPv85kMLE4za7HIsdoH9+li1rf6E3U5XVXoCZMzZ/iFFMmSQ/AvJsoQUx7Upe/HlP3m4QABRxHENHaejM9v3OK8XjKYv3912axsBpTZiqCiWW/5rGYeph27SdI7lC/Gg4Up3BAmsyVN1unF+sLZ1C2PxI4RTsO6XM3Y+WSeX1EQUyvXJ6m0wrrsgMtsuLKID0oqZM7EZymGfl3PWDIV9kNWQyg6ToZ+2WaSuwDBq292IxdARaJsxC64CLzTSMruEjc/irkFBDv1TiSciyO6kSNxrifu3Ib+O07HGLLCCVVZi5ymxr5VehIxyC2xCPs2Y01ivpTuIAgb0uXzo23ujNd5Tf/b2ez9Jd6QvJVXd97MwGZsyYA/2P8lAPZkwCv7b0Gk13iPy3vd4sBYNRLnLReYHIdnyPPpwX6aOEop5LDqmzM8sg8V0xTOpPPImXMGX4RjASxiRLZI90exbc0vpJplKMczEwHAIscvuldmZENCOaSJY1FFlfBZDR4Cv6LJhKyuoDkmFU4Z1FQDAyOTEuGhIyT8BOS1EoyqayF1+1AECXElOHACVlq2pfp5Zp5nERBEr/ZzU9qrV0ok7vjen0O0cDsN6EbWy2gbMiskAv2ozHzcSF1+ZT93+8figoZIYLPjsha7WanCCa5zpGNcFiISuK0rBSHTzU/Z8E6nqSrWX6wb2Yhro5ydzJKpy06MrGUrS9nD8SdeEK0DsBnHbEqPr2Q7XNR1vj56iAFDzrMGwIb2eWX/LWzqBl/Y/ygAb+h9F7NwZgOLVeRanCaWbkh2zDgNLYtjJWkex1gnWX44zrEXyVgsgrBtPWMxRw2zHjjUA5KJ8sUhiKPzyhr1FlWYDAbGx7ONY84rN1QlwscktWtBQtOYdVKnteNkzQnRrVqZJq+UFkIQUg0qQtkiZEgKroROSoS77Mb4uQWORUBkym0icR4doQskdKgYSv5EFSH4SH1mY2gNXWMrVuim8AsB2K9Yo/d8eSUgt272rq3U+NZQ1yWym5XqnIIrYazH6oMaLTIUggsgUusEscAFFVklWzGyym5GkQ0B53AaOkwu57ukPrC4s9sFYGgtn+DTXEtHXEpiNqKYu5MNuiQkIlyXXb6YbrERxdxh1vy9gtvNOl0TYYE/yj6AYHhJr89f63wbguHFnXVm4cwGFrcabhkC52E7Q84wjtxOukwcl4fIIpmLwrDhYA/+qTLc08Y5QqtrcaxKuWXSKfVg97u6/1hHRSVAmlYKmdYaOvN41W6UIsgwY+tD1iKSki9S78xoQrWkktuSWxEyFmOkz0oQMSugCkTO0PlRBDB+LiFrEXgW03xC9vOodDfVUtI78CUCck/W3Erd9qkKg8ww8mTNkjzrgoC9rNSdAIqMR66uFTXMIzHQj1zQUDcj60dOWTOMK37+26mynTolzRjjnVSVrTTnXGK4kEQ8GH815+OOvw7CVpZxIXKBx6aukUnOr+28iz2bsxbFPGd3+eDuo3xw8C6umGu8sfPNKJZfvPnzXJcthrLPdjabY3YL/0dbLg5SDjnr2ZGzjLEsx/OxfHNc8t2L/CeqUyqOyeF0EfXLRTCNAzHPun1sfVP2otYm2qRjUe8KaVLSnFZaqWceglpnFDU/PKrjKlJkJqrmX/UMRnjYV7MWxXg+QAlZi6JcgrNFLzgWxhYkzqrzaVpxN3UdHuUHJczBSWCXnSDB2TQxlshY9nNTlFQC3LZavAbXDZL6DpF+7LZfjy1rsS0+no7YCf1YS9VNWxqM5dbxQKyWnIog592NnAFZJE5Z82LHvQ6kzNQ6NdDQQZIYYTvL6RrhUtTnnCdk7tiML+7vOd2K1LmdXktTclUuJLG/d5CScadsEpk+Rpz41t3xOV6x/lYe6H8zT+7+Ch/Y/c8Ihjf2vpuImE/v/i8+x2y/kDMdWLQP/MVxpMzHIvsuU5b7uD8HRzIAO85yyyn8ec/KWITDz+BYLILigR3+7x+HeFZ1/HlW6dOMyGpQlcnsRMODfJZS5yzb9kVbWqskTfd+vAul7BYpswT1eeZ5VHSTNHEompbV51DNYlS3L7kaNc0Lxsc2RaBRjlvt+ohM2M6XYiotoaHEEYIAVSffPcojZx4W5YVnyH4esRZZXxIJ42thmR55a/PUuvVWK3IrqG8ZFbqRJVfX8dExyp5X08z8PEJraXApDX86e3lpQhYyGEHTYidzy9cTl21QH4zk6rIVVuFSJ2JolY3IsJ64bMrFuMN50+FcHNGPIq6mQyIcP+PKaMggzxjkOS/trTOwGa/tvJVzUczn82t8Jr/MpwfvJ6EzRtK8PUnY1DVesf5WPrX7GxP3vIozHVisGm45EuYq4yAP6FVt972VSyRVzOBYLIKJh/MRLc2LB/tEEDDleteWV4MHrXwrH5/j9GBkWrvpeHZh+jGbUNenqC5XNVgrjeqbULZzlj92YtvAWahrZNRfh/fVZVUdi0DgrJI3w8cjiGSNzc1zLYq2VM/VsIQ215CJsEUAoZ6UmRg79oBLvB4FOM2LYEgWeBluHy1eBxLnVhqRaek9shFb9n2A4VpZhV7k9g0lE7fMBQ8bsdKPlF6k7OfCdipF1iG0mVa9+0bWETyDWNa+TxxtJs4bJMh4O3luP6fIkHqNi44R+pFwoROxb5Wr6bBoL1UgEsNmnLCjQ1ILN2SHTHKuZSMu6AYGw2v638GLZJNv6H1Pcf2eHQ35/eF7+NTub/CX17+l8bNU3rczjlXKWhxFz6INSo6AWddumeWLZXh0HDSYOWIpZJGukIkH5hEzFgfWsQjf+GcENNUOjyY0BQazyJv1cZvHrAUfKs57pOGhHwIFqQUR1e3qWY66v0i9lTRkGIoSRQO5c6ytFRkby41NQeAMOhbV44x3h4wHFXll7FxNkakIZYus4FyU6pudKHdiWQ1lJSfE5YKSnSwqWk07pnQh3ctNYRpmxK3rx5a9zLCXmUJ50+I4FUV3h1BwKs4nru0UYC12JY9ziXu/lSq7mbI1UkaWQup7kMFW6rIUYTxFCwnvfevKJKl11+rayD1LhtZyZ7fLXZ0e+7nlejbiuu6ylaVcND2ujIbEGrGpa/ze/s+zJQMEg8XyjN1mzcQYKYmaD/f/Dq9ee4Qnd3+FWWifRs8TrLrI1tJxCLv2g+DItupzx59jr34Ys7CmfQ48hhwpuBAzI7gwCraBF+CXLx2iZYfHHEJm1Wys2m5aBAPhfComZFrRZ2gySqsaoDW1mzaWYRoyDk1dIdZGhdW6ez/9/Matz8fHnUYerZqJ5bXsTOE3wrjORdWOHSiCDKOOo2HVjBmLGSCK8jESa+FgasdbSq1flxjlxigpuBWj3LCfG8etqFzbxP/eSSOXTcEFFB2jDHMXxGSeS9GNlNw6A7K1yAUce7mzSe9Hyk5WimVd6IgzPdOyPNKLXICyl8NGLEUpxXpL+63UcjkbEBFxm3S5kBgGo4ybqaFrjHM/NULHGjaIMbbPgBF9+gjCC8w5Ltttvqb3CHfKOQb+/+SaiXnGbvPw2vcWy57SG1zSDcqQqRlnPmNxFBw3gbPVsrh1cSJBRSV7MDOoOCwWHfMkSjKLDFnXZDit/1bzyg41wa2Z24YHWkO7acCY9sQCyp3lfpXPR0PGZJzXYMnzUia86XcoWajKhGV6wFhXiteyqJI2A6rBxizCaGg1jSrZosC7qJZBqqiWUSBkK6To7gAXuKSeV5GpaztNfCYkaFqEICQRLdaJKH0v1+34ELYgbIoo/cgWGYmdNCraTkdWipbU2JuNdSKK8kgn8mqaRbCgdIwLMKy6ckkgcmbq2kxzhVEO2yncGDkbdFfugGtDZeSlvWMRXtJd5/a4S8+4MstL+30MsBEbrgwz3j/8KKkqiTHc1etxb2cDEaFvIq7bPe7vXGCTPk/pDa7KFjdkwJ7NeXF8ni/pNQA+vPdOLukGv7P3bl619kjj56O4hzPXnhGsUjnkNHHYFtYzhQUDhhMxIjvpUkhTwHBavI4lVHnmoeA1zClnLNQ+ukBL6VTxq1pwIKKFV8gs9c3q+zrPQdUQRc0Xvd4eWnVDDeOEUkeT3HZTWaEqFV6dy7TOlHoZJfApxsSxKl4gsVhUQ9bC/XZtp+78Q8AQeBcSOkasIbOmIHp2vCaFUpZMQltqJ7KMclO0oO5mztQr9YHKemzpRZausazHlo5RMuvcSo24oCAxvqsF7/nhpbzB8TpciUO5NnIZjEDwDD4h+HkZcZoV67EPkowTxIpEuNBxx+saYSe3ZFYZZErHGL60v89nzBe5xIvoGlfC2c0s19KMc7FhPY5Yo8NObrmUdLigGzw5/N/cG13gslznV7f/E08M3ocgvGrtEa7KFm9e/yFkTujQBha3EE5Ny+L5GGgdtgyyTI5F5SE/V+uiEoQ0BjmLBgynxes4rf88B2hJnecVErIB80zNqsed5RZaR7FtlRw6ESCMZz7GeRGT5ZLyuHZM8Krw+7BmrC00bBuuRRSVLquhFFEvo1RbTQtfD530DgmS3tVr4DouxgOS3BpyNUXGIgQXYd9SO8OVSxKxjndBeW6JsYVFetCwCAGFhIDCt5z2jGXo1wUNixCcgDMly9V5gmS+62OQG7fcCrtZxHZqWItCO6vz6nDS354sqtA1LjOxFpf8kgsd5aIPDAaZI2pGUnaH9GN3nkH6OxA5IxE6RrzviAs6YiNc6kTE3pjMCPQk4mX2xbyucw+P7f8621nulvv/B+/deidXZZsv25tcS0dECN/U+04+lz/Hnw1+lYf6P8hD/e/nYpLwxOC9CIbHdt/hyyHT0QYWZwAryb84Ab7DTPXNAwRlq2iDPrcUMlY2OUJZ5lboRDkIv2Jaa+cCAcdkZuLgvI5ZpM46eXLsWDNkxMc0IGaMUe3ymDZevQujNCzz+g9WxkokUJI1q+2hIZBoyl6MKYBSKb0UZRi/XU19M3SAhPWupdQFNpma4sGfVkzWwlmGcw9GY7Gx9KKcfpxhcFmHcn+nphlaVTuRJfEcjcC1iCumZD2j9CJbZEg6kaVrXEajE2nhdLoRK2uRspMKO5mwn8NzQ+HmSIrW1f1c6BqlHzmi5mZSCmPtZMpWqvS8tkW1zXVkle3MZSdGuRZ+IgbYySzPDEdsZzm7mvI7w/fxyeFVXhW9kY4x7GQ5v5V+gO3M8pb17+duueDuqxhe0Onw/sG7uUcuFffhw3s/B8BD/R/kHnORt278CB/ee5RZOLH/IiLysIh8SkQ+KyI/dVLHaTEfK8m/OET2ZZ5stxxTsHKSJMzD4tTUOZsCmMMQOuceZ5Fxpny7P2K7KSymfllyKQ7W+tl8vEnS5Nixwjf5CnkzLB+bC80CWU3jFcf2gldjx6mgyoMwJi9+hxbVuoKnCyDMWCAQshZVXYpp81QVMv9tv75tKLc4ie7SQbRehonFFi2lid+2ilEekVtD5DMX4Q4O88gpbPpsRgiEqh0mmTVspRGpdQFAGaxQ2KqnvsW0Y1xQtZ/DRpKzlToFzjBe4Hysxy5AytR1goRlRpzBmeIyEjuZy2psJi4L0YuE7dQHFX5/ETiXCC/sRTyXpjyXpmyl1il6GriZuczDehRxT7fPd2x8F/dFl+jT4XK+SyzC6803MsgzgnupuwaWZ0dDXtX/VgY2QyRizcS8eu0RPpM9x4f3HuUv7NXGe1rHify3Esdq/I/Am4EHgL8tIg+cxLFazMdKZiwOgYnAYQUzCyeFEyFvLoqTaEE9wJCLGnGdGE7ITr3a8VGg4DY0d3s0jl0hYNZVOsvf45Lcs66p072IJvxFqkRN471MmsiZ9ezFWFDCeIkktzLWbjotGCnUPVEyT9aE4E5adpYE7kQvyguDsdS6NlCr4lpNgU6UFyROCOUOKTQt+rGlU+GkhKtnKbMYQ+uCiPU4x+J8QhLPrbAESXF1Xh7W8SsuJFoYjY38Pd0ryhuujXQ7E0a2/DNKjFPezK1vM9XSNv3+jQ4vW++wmRh2M8uNkXJnt8u5OGZkLYkRBrk7jw0Ts06HHZuxw5CuiXjGbrMeJdwXXwDgqmy5e4bw5rUf4LHdn+WSbnCbbvKqtb/FE4P/sVBwcVJfg14PfFZVP6+qI+AXgW89oWMtFSfhdHrcWMmMxXFgBTMLp4I5AdXCpZyTClaOmrEo/otPPpiOC9O0LKrHndxn9jzG5jmlDdS9bs6AjHt0TM9YjO1bIUc2CVVVEbIPYVytBABVAqcxeXH8pu4QWwt66roYVc6FG2P8fIPq5qyOj/HzGF8+xsmo+oKIpWNyL+stpJ4/Ip5jkauTGe9WhLJSFWJRNuKcQcXVdJSXUuAiyr51OhWBgxFmsB5bdtKIi52cXqSsxznrsRfZEmVrZDxnAy50LL0INhOlY1zXSy9SLiTO6bRj3LjVK5BaJ+UdG9hInOR3uCa7GexlQVBLEZwPyFeGQ8DZqH9pb5+becqVbJ/EGLbYq1w72KDPZ/Vp3rf1dn53+B7ukUtc0g0uy3Xev/sob1n/+1yVLT689yi36ebEvZmGkwos7gK+VHn/lF9WQER+WEQeF5HHr1zZOqFpnDxUz+jDbRZOyIjsLFunj5VC5gRUC5dyltEVYmq/m1AzGzvWjEXR/lmqb07zCimWL2CbDovPc5ryZphP49hNAlt2sn10rK218rAP5M16e2kIKKoP7kLqu0YiDdwKoSyPVFtFQ6ASOBdV6/Tg8VEcu3LuuZoxO/SQnciLwIXCKyTyKpvggoog6x2JkqohVffwD1oVFqeY2fHBRFDfrI4fgqvE7xPmuJNGxXbn4rxwN3XSLe78dlLHqxh6gmfIfCSmDJ6MwGZiPekzlEhc2SK3cG3kMhRGHJciIMTnpkLcHOYwtMqN1LKTWfZz1w1jBPat5a5+wkv6PRR1GQuJuKfXIyPHqnJvcp5zUcILzDp7NmfDxLzI3sFb1n+EV/feVhz7Dr3AN/S/j4HNuF3P8zc3/8HE528WlvZVVlXfAbwDQESuxOZ7d4HnljWfFo24nfaerCLa+7J6aO/J6uHs3ZOdhmWDxXf/02krykQHTwx+Mbx8ybTNTyqw+DJwT+X93X5ZI1T1DhF5XFVfd0LzaXEItPdkNdHel9VDe09WD+09WR5OKu/5R8D9IvJSEekA3w382gkdq0WLFi1atGixIjiRjIWqZiLyY8AHgQh4p6r+2Ukcq0WLFi1atGixOjgxjoWqPgY8doBd3nFSc2lxaLT3ZDXR3pfVQ3tPVg/tPVkSRPX4W7latGjRokWLFmcTt4B+b4sWLVq0aNHiVsHSA4tW+nt5EJF3ishlEflkZdklEflNEfmM/33RLxcR+ff+Pn1CRL52eTN//kJE7hGRD4nI/xORPxORH/fL2/uyJIhIT0T+r4h83N+Tf+6Xv1RE/tBf+1/yRHVEpOvff9avv3epJ/A8hohEIvInIvIb/n17T1YASw0sWunvpePngIdry34K+C1VvR/4Lf8e3D263//8MPD2U5rjWUMG/KSqPgC8AfhR/zfR3pflYQi8SVVfA7wWeFhE3gD8K+BnVPXlwHXgh/z2PwRc98t/xm/X4mTw48CTlfftPVkBLDtjcWakv1cRqvq7wLXa4m8F3u1fvxv4tsry/6oOHwUuiMhXncpEzxBU9WlV/Zh/vY37p3kX7X1ZGvy1DdJDif9R4E3Ae/3y+j0J9+q9wDeK1MWrWxwVInI38FbgZ/17ob0nK4FlBxZzpb9bnDpeqKpP+9fPAC/0r9t7dcrw6dqvAf6Q9r4sFT7l/qfAZeA3gc8BN7R0+Kte9+Ke+PU3gdtOdcJnA/8W+MeUIvC30d6TlcCyA4sWKwx1LUNt29ASICIbwC8DP6GqY2Y67X05fahqrqqvxakIvx746uXO6GxDRN4GXFbVP172XFpMYtmBxYGkv1ucCp4NqXT/+7Jf3t6rU4KIJLig4hdU9X1+cXtfVgCqegP4EPB1uLJT0AKqXvfinvj154H5XtMtDoIHgW8RkS/gSuhvAv4d7T1ZCSw7sGilv1cPvwZ8n3/9fcD/rCz/e74L4Q3AzUpqvsUxwdd9HwWeVNWfrqxq78uSICJ3iMgF/7oP/HUc9+VDwCN+s/o9CffqEeC3tRUMOlao6j9R1btV9V7cc+O3VfV7aO/JSmDpAlki8hZcrSxIf//LpU7oDEFE/jvwEM4F8FngnwG/CrwHeDHwReA7VfWaf+D9B1wXyQD4AVV9fAnTfl5DRL4e+D3gCcra8T/F8Sza+7IEiMirccS/CPdl7D2q+i9E5D7ct+VLwJ8A36uqQxHpAT+P48dcA75bVT+/nNk//yEiDwH/SFXf1t6T1cDSA4sWLVq0aNGixfMHyy6FtGjRokWLFi2eR2gDixYtWrRo0aLFsaENLFq0aNGiRYsWx4Y2sGjRokWLFi1aHBvawKJFixYtWrRocWxoA4sWLVq0aNGixbGhDSxatGjRokWLFseGNrBo0aJFixYtWhwb/j+F97dKx8qj6gAAAABJRU5ErkJggg==\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = subplots(2,1, figsize=(15,8))\n", "jupyter.display(I, ax=ax[0], label=\"Synthetic\")\n", "jupyter.display(Y, ax=ax[1], label=\"Poissonian \")\n", "pass" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = subplots(figsize=(10,8))\n", "jupyter.plot1d(ai.integrate1d(I, 500), ax=ax, label=\"Synthetic\")\n", "ax.plot(*ai.integrate1d(Y, 500), label=\"Poissonian\")\n", "ax.legend()\n", "ax.semilogy()\n", "pass" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Selection of the log-space rebinning\n", "\n", "In this section we see how to switch to log-scale at the integration level (and revert back to q_nm^-1 for plotting).\n", "\n", "PyFAI does not like negative radial units. Hence log(q) has to be prohibited. I would recommend the $arcsinh$ functions which is a well behaved function from R -> R with a slope at the origin of 1 and a log-scale behaviour." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ ":4: RuntimeWarning: invalid value encountered in log1p\n", " ax.plot(x, numpy.log1p(x), label=\"log(1+x)\")\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "x = numpy.linspace(-10, 10, 1000)\n", "fig, ax = subplots(figsize=(10,8))\n", "ax.plot(x, numpy.arcsinh(x), label=\"arcsinh\")\n", "ax.plot(x, numpy.log1p(x), label=\"log(1+x)\")\n", "ax.legend()\n", "pass" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "WARNING:pyFAI.geometry.core:No fast path for space: log(1+q.nm)\n", "WARNING:pyFAI.geometry.core:No fast path for space: arcsinh(q.nm)\n", "WARNING:pyFAI.geometry.core:No fast path for space: arcsinh(q.A)\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = subplots(figsize=(10,8))\n", "jupyter.plot1d(ai.integrate1d(Y, 500, method=method),ax=ax, label=\"q_nm^-1\")\n", "ax.semilogy()\n", "x,y = ai.integrate1d(Y, 500, unit=\"log(1+q.nm)_None\", method=method)\n", "ax.plot(numpy.exp(x)-1,y*2, label=\"log(1+q.nm)_None\")\n", "x,y = ai.integrate1d(Y, 500, unit=\"arcsinh(q.nm)_None\", method=method)\n", "ax.plot(numpy.sinh(x), y*4, label=\"arcsinh(q.nm)_None\")\n", "x,y = ai.integrate1d(Y, 500, unit=\"arcsinh(q.A)_None\", method=method)\n", "ax.plot(numpy.sinh(x)*10, y*8, label=\"arcsinh(q.A)_None\")\n", "ax.legend()\n", "pass" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Going to log-scale helps to reduce the noise at high $q$ as on can see in the log(1+q.nm) or arcsinh(q.nm). \n", "The maximum value for $q$ is only 0.56${A}$, so after taking the log scale this remain in the linear part of the curve.\n", "On the opposite, one would like to histogram on bins with larger numerical values. This is what we will see now. \n", "\n", "## Creation of a new radial unit\n", "\n", "Let's create the $arcsinh(q.µm)$ unit. \n", "$q$ in inverse micrometer has numerical values 1000 times larger than in inverse nanometer, and should emphathize the curvature.\n", "\n", "There are two way to define a new unit:\n", "* with a python function implementing the formula, using numpy \n", "* with a mathematical formula as a string, using numexpr (which provides parallel execution for array initialization)" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "A function implementing the formula:\n", " def eq_q(x, y, z, wavelength):\n", " \"\"\"Calculates the modulus of the scattering vector\n", "\n", " :param x: horizontal position, towards the center of the ring, from sample position\n", " :param y: vertical position, to the roof, from sample position\n", " :param z: distance from sample along the beam\n", " :param wavelength: in meter\n", " \"\"\"\n", " return 4.0e-9 * numpy.pi * numpy.sin(eq_2th(x, y, z) / 2.0) / wavelength\n", "\n", "Mathematical formula: 4.0e-9*π/λ*sin(arctan2(sqrt(x * x + y * y), z)/2.0)\n" ] } ], "source": [ "from pyFAI.units import eq_q, formula_q, register_radial_unit\n", "\n", "register_radial_unit(\"arcsinh(q.µm)_Numpy\",\n", " scale=1.0,\n", " label=r\"arcsinh($q$.µm)\",\n", " equation=lambda x, y, z, wavelength: numpy.arcsinh(1000*eq_q(x, y, z, wavelength)))\n", "\n", "\n", "print(\"A function implementing the formula:\\n\",inspect.getsource(eq_q))\n", " \n", "print(f\"Mathematical formula: {formula_q}\")" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "# Litteral formula can also be provided:\n", "\n", "register_radial_unit(\"arcsinh(q.µm)_Numexpr\",\n", " scale=1.0,\n", " label=r\"arcsinh($q$.µm)\",\n", " formula=\"arcsinh(4.0e-6*π/λ*sin(arctan2(sqrt(x**2 + y**2), z)/2.0))\")\n", "\n", "# This uses numexpr which is multithreaded" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "WARNING:pyFAI.geometry.core:No fast path for space: arcsinh(q.µm)\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = subplots(figsize=(10,8))\n", "jupyter.plot1d(ai.integrate1d(Y, 500, method=method),ax=ax, label=\"q_nm^-1\")\n", "ax.semilogy()\n", "x,y = ai.integrate1d(Y, 500, unit=\"arcsinh(q.nm)_None\", method=method)\n", "ax.plot(numpy.sinh(x), y, label=\"arcsinh(q.nm)_None\")\n", "x,y = ai.integrate1d(Y, 500, unit=\"arcsinh(q.A)_None\", method=method)\n", "ax.plot(numpy.sinh(x)*10, y, label=\"arcsinh(q.A)_Numpy\")\n", "x,y = ai.integrate1d(Y, 500, unit=\"arcsinh(q.µm)_Numpy\", method=method)\n", "ax.plot(numpy.sinh(x)/1000, y, \".\", label=\"arcsinh(q.µm)_None1\")\n", "x,y = ai.integrate1d(Y, 500, unit=\"arcsinh(q.µm)_Numexpr\", method=method)\n", "ax.plot(numpy.sinh(x)/1000, y, \".\", label=\"arcsinh(q.µm)_Numexpr\")\n", "\n", "ax.legend()\n", "pass" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = subplots()\n", "ax.plot(numpy.sinh(x)/1000)\n", "ax.semilogy()\n", "pass" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "*Nota:* Expressing q in $µm^{-1}$ heavily distorts the curve in the low $q$ region, causing an oversampling near $q=0$. A factor 10 to 100 would have been better than the 1000 used in this example.\n", "\n", "## Conclusion\n", "\n", "We have seen how to perform azimuthal integration with variable bin-size in pyFAI, especially in the context of SAXS where it is desirable to have larger bins at large $q$ values to reduce the noise in this region." ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Total execution time: 2.635 s\n" ] } ], "source": [ "print(f\"Total execution time: {time.perf_counter()-start_time:.3f} s\")" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.9.5" } }, "nbformat": 4, "nbformat_minor": 4 }