{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Plotting with Matplotlib in Python (ala Prof Farr)\n", "\n", "In this guide (not a tutorial), we're going to talk about one of the most important (but trickest) parts of the Python universe: plotting. We've spent a lot of time using Python as a language to explore data, and even produced plenty of plots — but these are primarily tools we use to interrogate the data as we work with them. When it comes time to write a scientific paper, the plots need to be very specific, and nicely made. Instead of trusting matplotlib's default plotting tools to create a plot, we are going to define every small detail of the plot from scratch. \n", "\n", "Let's get going!" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "# Import statements\n", "import numpy as np\n", "import matplotlib.pyplot as plt \n", "import matplotlib.patheffects as path_effects\n", "import matplotlib.colors as colors\n", "#from mpl_toolkits.axes_grid.anchored_artists import AnchoredText\n", "from matplotlib.offsetbox import AnchoredText\n", "from matplotlib.ticker import MultipleLocator, FixedLocator, FormatStrFormatter\n", "%matplotlib inline \n", "#This just makes the plots appear in the notebook; on your own you wouldn't need this" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In the past, we used to plot things by the simple plt.plot command. for example, let's set up some random data and plot it:" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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qj94qjxNcXJC2iKi4CNLCQMQ+8NoilM2QZS6CKIZjVve5iCaai/ZWtEcVUUxOC9esdzEOYuyPml2IvRaaaNFnpi3FTl0Yp2Pl1xzDtsjQD9FzLfRdu7Kg8+d+7wn80K/+ST0XpsGFH2UOkbot0i4EERF0Vm2LhJy2iGEYSkZatEhZqTyKSk7XlnH8FvimEaaTOGtdpxVGWl4Yo+NQ5qIdC8xEc3HM7j3KJl691j2e0yKuhX6nuqDzyjDA0zuDmq5Mg4cwZcwdPS3SPkxHUUXMReriKSgQfA5zAaglo4Yp5d6twURLMxeLQRAlkxyZa081P45K7b/bNHbsH9PiYuRHsEwDG3332Nl/E82FjV4No6hBFOOlfXVr/M8+vtMKHdNRQZjuO20Sc+dxcouLOClsi1CthWjig6e5AADXtpQ0Fy71uag4ikocOtuz4RwXRHECJx07vvZUFxf2Ro1eD2Eu2hVcRpnAtlxPXRgFEXqOhbWufezaIgO/PubCD2O8fKCuR/qnv/Ygfu/LFyv97pMEaqKlR1FbCJm2CNVLlGmLAGpGWvRUTDQX5SvROE5gmSasFp1mjwuCKIZlks+ajKM2G17mh1H7NBfHlLkY+hG6LikuDo+Z0dTIj2pjLvwoQRAluDTw1X4ujPFyC8IAjwqCkPgrWToVtX0IoxgrBT4X9EMTj6IWtEUCBUGnZaLnVrf/pszFcTs9Ng06/gUA1663pC0yMdFqBzU6FXS243rqAhU9rncdHHph45NCdWKQFXRWnBahxaVqa4S0U3RbRBZhnMC1taCzlQjjBF3HEqai0qKC1xZJkgR+qpVgwbVN4Rhr/noci/hcjIKo9OJFNRemNtGqHeQzmmouml4MvTBrotWOze64ai7GQYSVtC0SxcmxcrIcTky07MrZInTNfOlA7dnww7gVxnRHBTRyvc3p1ye2uAhkBJ0F0yJ0AWUFlwFqzIUfpg6droUoTkpTXbOai1IvocFBGOfbIu1gLpwWGekcV83F0I+wkuoSAByb1ogfxvCjGH3XQr9jYVgXc6H4bPhhjJd0W0QadADAMs3WtETzOLHFBXXoFFFKfoHPBV1I+W2R4uySyfXEJLp9xSHmW2VFnVG6ARLNha4u6kQYZQSdLXDpJPbfVquYC/o8xS25nrowSkWPdFz84JhMjFBPnV7HRs+tkblQboskxzLsblEgvkiauWglwjhGt6KgM0g3b15bpOOoaC5IdHs3LS7K6i7CVBiqNRf1I4yno6ivONXF7sCXHjVeBLwg49DZEppqav99vO69UdoWAYC1rn1swsuoxmLFsdB3qzMXfhTjTN9VaovQ9vLLB15rGLi2I4gTOLahR1HbiCBK0HNt+BE/uXTSFuEs3FS8xh1FtUx4kot+EBGDJss04NpmaZfOiE6LGHpapG6EmWmRM6sdWKaBl0vM9NeF2eCydnzWx9X+m7RFSEtktWsfGyOtoU+KJss00OvYGNQwirq92VNqi2Tvmd2Bbo3IgKZxO7ot0j5QEy2AvxD6RcxFUVvEMeFJMhA0WwRAJa8LqrmwWuR9cFwQxNPJIMs0cPVap9GJkWlwWXsKyeC4Mhc+8bkAgLWuc2y8LugUDAD0azLROruxosRc0MObYzVbrB8lkClFmiGlmYtWIUinRQBwWyNFgs4gimEamJxm83AteZ8L0s8nr1OluKDTIrZlHLu+d9MIU3aJomlR5zS4rD2F5NTnop0LXlmMAiLoBID1rn1sNBcDL0KvkxYXqYlWlXXDj2Jsb/SUNBd0fb3+9ErjIumjAhKi2C6Pmzxs2W/84Ac/iCeffBLD4RDvfve78da3vpX5fb/5m7+JX/qlX8KNN96Ixx9/HN/7vd+Lb/7mb67tgutClrnwoxgrsOa+pyhbROTOCaSCTsniws+81opbPrxsyly0hyo/LogymgugWVFnnE4UUUFnW5gLer+3dcEri6EfYq3rAABWO8fHSGvoh+in7R76v6MgmkzFqCIIE5zdXMHOoZdONBSfX2lBur3RUx5hbRKPv3yI33n0ZfzdN7966b+b2n+3OVtE6g6655578Nhjj+EjH/kIxuMxbr31Vtx///04d+7czPc988wz+L7v+z489NBD6PV6uHDhAr7ma74GTzzxBDY2NhbyB5RBHCeIE0wEWjwx3HRahL3Riwy0AOJzocJc0AexWyEZlU6LaPvv+kFnyymIBXgziyEtfKmgUzRSvUwcV83FyI9x9dpxFHRGk0MWZWYGadZIGQRRjOtOrwAALh56eMWplcKf8UOyZl13ulsql6QpPHrhAL/wua80UlwEMUnRPtKCTt/38f73vx/vete7AADdbhe33347PvCBD8x97x/+4R9idXUVvV4PAHDttdei0+ng6aefrveqK4JWevSh4rVF/CJBp8D6G4BiKur0tVYcs7LmwjTae9MdVdDZcoprGnTppEWra7fL6n3SFjlGDpYAMAqm2gSiuTgebZGhNy0kXNuEa5kYVhhH9cIYPcfCmX5HulDw0gC+a9a7yv4YTeLQCxqz3qaHUcdqb1uksLj4zGc+g93dXZw/f37ytVtuuQX33Xff3PeeP38ejzzyCH77t38bAPD000/jq77qq3DrrbfWd8U1gG66rm3CNMA99RULOgvaIo58KmqWBVmpkIwaRWRahIj8Sr2EBgdhJrgMIOOoTbVF6H3VsVPFeNuKi5ZcT10Y+VPNxXEKLxtmmAsA6HWsShbgQaoDuma9I/1s0IPV1evdI9UWORiHjR3g6HvWJr1VHoXFxcMPPwzTNGfaGhsbG7h48SIuX748870333wzfvInfxLveMc78Du/8zu4//778clPfhKGwT/dNwFabdppz4pXXFDBJq+1EcYFbRFLLRV1Ulw45fNFwjiBZSLtw+vqok6EcQwrx1y82FRbJIxhGJjoa6KWnF4mPhctuZ66QEc2gVRzcWyKixA9d9oC6Vc00qLaMRU9EnGatdKfOTptkYNx2FgRTQ+jbfK4yaOwuNjb28Pp06dhZk5snU4HADAcDue+/4d/+IfxIz/yI/iH//Af4lOf+tTMz/Fw8803Y3t7G9vb27j77rtVrr8U6IdhmwZci58q54cxVjs2n7kIC9oijoLmIp5S7tU0FylzoQWdtSM70QMQzcXL+14jIVZ+SiUbBtHXBC0pJIPwmGougukJf73r4MA7Hm2RQY656FdlLtK8m6tViosohmsZSmxHG3Dohc21RdL9wm6xoLNw59/c3ITnzVaTo9EIAJgizR/+4R/G3/27fxe/+7u/i2eeeQZ/+S//ZcQFC98jjzyC5557Ds899xx+6Id+SOX6S4F+GI5F2geitsha1+FqLvyCtggZRZVsi4TJJKOkV6EtktVcHLcFvmkQh86MoHO9Cz+KleOl6wANLQPQSs1FWxe8shj50WR0/Vi1RbxZ8WbPtStpLuiaSAoFORYiCGkrpYtLDbvequBwHDbGGtAogjaPohYWF+fOncNgMMB4PK0oL168iO3t7Ylwk+LTn/40HnroIWxsbGBzcxP33XcfHnjgAXz84x+v/8orIIgIpWyZhrAt4kcJ+h1+ayM74cFCx1EQdGaYi2o+F/HE5+K4LfBNI+9zseJaWO/ajYg6KZUMoFUs1XH1uSDahOPn0Fknc5EkZDzasdXaIl6q09ha7cA0gItHJMDs0AsRNPTc0TTuI50tctttt2Frawuf//znJ197+OGHcccdd8x97xe/+EW4rjv577Nnz+Jbv/Vb8eyzz9Z0ufUgjJLJJuFUaYukdB4PKiZaWc1F17UwruxzYWoTrZoR5HwugOai16n1NwDYptk+zcUxu/eybZG1rnNsRlFHfjTxtwAoc1Hub6Pr6GTyQ1bQGZK1zzINXLV2dFojB16TzEWcai7M1k4FFhYXjuPgzjvvxMc+9jEAwGAwwKc//Wncdddd2N3dxRvf+EY8+uijAIC3ve1t+OxnP4vDw0MAQBzH+MpXvoJv/dZvXeCfoI4wjid+BWSUh1889Du2sC0iZi7kBZ1haucK1ODQqYPLFoIo53MBUJfO5Z+0vCBTXLTo9EI3mONW2M63RY6L5iKcOHQCqQV4yYPNxHvFMnG1QluEOs0CSIuSI8JcjAPESTP3OhkmSBnqlhws8pBySnnf+96Hu+66C+9973uxt7eHe++9FzfeeCNeeOEFPP300zg4OABARlR/7ud+Dn//7/99fO3Xfi1efPFF/PiP/zi+5mu+ZqF/hCqCaHoCdSyTXzyEMda6fOYiWxCw0FEw0fJz0yIjyTTVPKKMQ2db+vDHBUE82xYByDhqI22RKJosyG0y0qFhfm0pdupAHCezzEXHhhfGaWvqaCcoDL38KKpdOl8kyHivXLvexd4owDiYFmU8UHEyACXGo2lQl9YwTuByIiAWBWroZ7fo2c9DqriwLAsf+tCH5r5+3XXXYWdnZ+Zrb3/72/H2t7+9nqtbEMKMp4SwLRLF2FpxS/tcEIdOuVNAmDkVV7H/zqaiHqcFvg1gaWyuXe/iwt5o6dcyw1y0qJAM0uTYtlxPHaAHhGxbBCCby6btcn/uKGCQG0VdTfNFyiAbQLbRc+FYBl7aH+OVZ/rCnwtmmItmwwBVQEW9YRzDXXJMV5BqLmyditouZE+gUm0RXnFR4HOh6tDp2tNR1Co+F7ZpwCoRXPb8ldGxoXsXgSieZ6quOdXFhQZo3CyV3KYFxo9irDjWsSpsh6nAkZ7Auw45MR6HZ2U4p7kon4zqh8QXyLZMmKaBq9fkWhwzzMVa98gko1JRbxPjqGFE3jPaEm1iHL4IJ7K4yDMXvLaIF8aEAuUVH0U+FwptkWxuRS2pqCXosn/wC1/A//3QS6V+70kAPZVnsdFzsTda/iZDRlHTaZGWjaJ2HauW63nw+T1cGS5/zDePoR/BNDBhigzDwOoxGUcdeHnNRTXmInvYkmUhvHD6c9c06HqrgjhOcJgWnU2IOoOURaXt/bY8/1mc0OIintFciCLXKXPBqgyDIkGnQipq3qGz7AMeVtBcDP1IuhhaBh69cICf/9xXmr6MCfI+FwAac8jzMv3+VmkuogQrbj0K9r/381/AZ5/YreGqqmEcEHfOrNPwcfG6mJsWqTCKmm1vAEQ/8bJEoRBEyYyg8yi0RYZBBLolNMHSTUy00gNpG5nCE1lcBPF0FNUWtEX8MMZqlzx4rAIkjKfGVyyopaJmgsvc8m0R6nNRRnMxCqJWGdg8+tIBfuEP2lNcBFE849AJNMcaZKnkNk0GhWlbpOp7EscJXj4YtyLtdehHWHFn5WlrnaMfXpYkSaq5mGUuqrRFXGu2uJBhIbLC2GvWO0eiLZL1OWniHg1SEy16SG7L85/FiSwuwgxL4IpMtFKfC4CdjOpLtEXkmYtpq6aK/Tf18Ciz6Y2DdjEXYRSXbg8tArTllIVt8u+fRcILI3Qcyly0SXOR1NIW2R34CKKkFX9XdlKEYq1rT6YFjiq8MEacYHZaxLVKZ4vkBe5Xr3ek9Eh+FE1+7tr1Lg69sPXv7aEXoOdacK1mnr0giuHYxuSQ3MZ8kZNZXMT5UVR+W2RSXDA2XUJNFbRForhQWJkkSY0OnQksy4RlmsoL/MiP4JUcgV0EwnQEsC3IanUomvKYmGEuWqi5qPqe0BNvG9o9o0xoGcVxaItQhiJr/02mRcoyF8lMW0TWpTOIkome5dSKA9c2W6+7OBiHWO3YjT3/4WQUVbdFWoXs2GdRW6QvKC6CqLgtArBZjyyiOEGSYPJaVSLXqeZCdTwxSZLWtUXCKCntVLoIZAtAiqYmNbJUcptm3YOa2iIX0rTZpoKhshhm4tYp1rpHvy2SF6oCqc9FJUHnbGqwjOYiey8bxtEIMDsYh1jt2o09e2FMI9cpc9H8c5LHySwu4ulDIGyLRAlWHAuWaTCLC5m2CMCPbJ9ezzQCHiDMhR/GpRZoSt1bin14SpG2qi0Sxxi3qNiJMlodCnJyaUbQSadFVD/rRSII6xlFpaK+NtC9o4DDXLScui/CwA/Rd+0ZoWrftcrbf2fyboDptEjRmGS+KLl2vf3jqIdeiLWOTVJJl7yx0wwXOvJrGs3oPopwIouLIMdc8Noifkh6ga5lwo/mN7mitog7KS7EG2TWfAbA5JRURtQZph4eqtMi9He1jbkIoqQ1D072vqFwWsFctEtzseJalbNOpm2R5fxd/+63H8evfP4Z5r+NcqJHgLQPlt0W+ewTO7jvT1+o7fWGfjQzhgoQ5mIYRKUsrWl0OsU1612Mg7gwh4W0+KbXcfURmBg5zDAXy16fpqnedChBvQW+DJzI4iI/ispti6SjVbypjyAUm2jZaVVZJOqkG0N2FBVAqdbILHMhf9PT39UuzQW5lrKTM3Uje99QNMUa+NnI9RY5YhLNhVmduVhiW+QPntjFh37zUfz6ly4w/53fFllucfG5J3bxG5xrLANi/T07BdN3LSRJubUnP4q62rHRc63C1ogfEnEixTVr7fe6OPCI5sKxqt/rqpjsF2b72qJZnMjiIuusKYpcp0IjlzP1wRpNzMIwDKlx1GDCXEzD1CzTKDUxQjQXxEFQ5X6jv6tdbRHyELVF1BkxHFlFDq+LhBdOs0XaFLs8NdGq9p4sqy1yMA7wf/73L+IbbzrDNezitUUOl6y58KK4UL+lgvwYKoBJsVHG6yJrhgVQ/UQxCxFEsyOs155q/zjq4TjEWteBbS2fuQjSZ4sedNo0ip7FiSwuwozTomMZzNNRFCeTzcS1OMVFnMApCC6SMdIKohiGgck1GYaBlZIW4GWZi6HfzrYIAIz9dhQ8QTzv0Gk3cHIBZiPXCXPRkveoxmmRq9Y6CBb83v7kfQ/jxq0evv8v3oRLvOLCZ4+iLpu58NOwtLowTDUXWbg2We+GJcZRWVlL10iko2ZZOPIzR6At4gVkWqQB1pAGxDmTabH2tEWzOKHFxTQjgsdc0K+5tkn8KljfE4qDy+jPFzMX8yfibslx1DCaFhcqccBTzUU7NimgfcwFKwW3rlPDhb0x/so9vy+dETAbXNaOxYUKzVYcC3HFrIMX98Y4u7GyUObifz78En7jwQv40DtvwWbfxZUBm4kYBRG6x7C4GHjzmgugvEsnKyVWxkgrbxt+9RFoixx6Ida6aVtkyc/eVHMxbYu0RZeWxYksLkhwmbgt4k2qQ4PbFslOnfDQsU14BZtjyGivrLhmqbZINnIdACLJRb6Vmov0c2lNcRHPCzqpx0TV4KCDcYA/fW5PulDJBpe1ZVqEMoArjlVpwR36IQ7GIbY3egv7uy4NfNz1sS/hx/7ya3Hd6RVs9lwceCFzLRj6EXpOzqGz6yzd6MkL41o3kbz1N0XZfJF8ewOQLC5yRcm1p8i0SBvDuCj2Mz4XS2+L5JhuRws62wMSnZ1NRZ3/YGgx4Qo0Fz6DcciDx3rMvk48114pa6QVptQ93QRlb7pRC9si9NrLupXWjWw7jaIuE5txWtTJbsrZUVSnJSZadJHtutV8Li7sjeHaJrZWOwtZuJMkwT/7vx7En7/hNL799dcDAE73SHT6ZUZrhNcW2V+y5sIPF6+5AMono2YzQihkmYvsz1291oEfxbg8bK+PCJ0WscxmBJ1O5pBjmezWftM4ocVFPPlweKmok7bIZBS1bFvEKmQDQsaIYxXNxQxzIVtctLAtQh+Y9kyLMBw6azKxoX4egaR2oo3BZfSZqepzcWF/jGvWO3DsxRRNXhjj/i+9iH92x9dMPB5c20TftXCFsaGx2iKrHWL/XWZksyzq11zMF01AaqRVQnPhMXx/ZDQXea1Gv2NjrWO3ujVySKdFFtSSeO7yEE9ePGT+W5CbWmuTQ28WJ7K4CHL236ybgxpkiSY+ZNsiRaeNIDcfDhDNRRlqMsxErtP/lsHIj2AY7Sou6IbZqrZIXnOR/rdsUcADLaBki5TZ4DJTSV+zKPiZ4qLKYvfS/hjXrnfhmPzE4iqgz/vpvjPz9Y2+i0uDeeZi6IfozU2LOEgSko65LPh1T4t4IXodVluknOYiP4oKyLl0MrUaLY9eJ9Miqf33Au7RX/6jZ3DPbz3O/Le8Rs82jcrrzyJwIouLbHAZry2S7R9WaYuQwkS8AAXR/NRJWQvwON0AyzAXp1acVrVFwra1RVKDsiwm7aeqzMWkLSLLXGSDy9qRjEgLgY5djSq+sOfhmvWu0Jq/Cuh1Ojm2cKPnMsdRRwyfC5o5tEwL8EUwF30Gc9Hv2KVcOn0Gk3vNWhcvH3jCwjefpgqg9RbgRNDppD4Xi7lHee7E+UNtWwTdeZzI4iKIpjbOvLaIF051ENxR1HB+s8lDJhk1iOZfZ6VkMiphLszMhiN344+CCKdXHC3o5CBruZtF3cyF7OhlPnIdkC8kF4UgvSbLqjYaS5mLRc3v0/sqzzqe7jnMPv8omC8uLNNA37WWOjHi1yzoHHjhnIkWQJmL6iZaAElGDeMEuwxGaPpzDK3GWrewndIkDsbTUdRF3KN+GHPX4rxTsFPxeVsUTmRxkbXt5rZF8swF43vCeF6ImUdHYhSVVKI1ay7SXrLsPTf2I5zquS1ri7RHc0HXj/xUT22ai0lbRO79n7H/ttQKyUUhiKZhSlUFndee6sIWGNxVgZ9T21Nsctsi0VxbBFh+eJkX1ctcjIIIfeYoarlkVBYD0XUsrHVt7BzyCwWPxVy0uC2SJMlEc7Eoj4kg4ucq5Z2CtaCzRcj6FfB6ZkFm8eY7dIpTUQFiolXEBvgMG/FuybYI1VzQQBvZDWfop8xFm9oiUXvaInSTy29IhqGe48LCOL2/ZBeJ7LSI6mTQokCnnqq+Hy/up8WFuZh+dpCq7bOBXQC/LTJmMBfA8r0u6ve5EDAXJQSdeb8KiqLJN5rhlMU1a+1tiwz9CHFCPv9FeUwEUTxplc7/2+y+o7NFWoSsXwEvFTXLXPBaG6x2Rh4ygk6WMJS0RdRv2mxyp8oiPwoibPQceGHcmvnyyShqC5iLfHJtFnUsMNQLRbYYzDIXtOBp+vRChWZ2xfG8l/ZSQeeC+tlhxBZib/RcZluEN1WxuvTiIqr1M+ZOi7h2baOoAGEvRAcs3ghrW106qb9JnzIXC9jYgyjhHvSCODctok202oN8cBkrFTXbP+SOojL8KfJwJUy0yGjR7Ov0SjMXUy8GFXOlURDhdM9FkjS/SVHQ4q0VxQWnT0++Vn2BUZ4WibIOne3QXIRpQV6FuYjiBBcPp4LORdyLLF8ZANjoO7ica4skSUJGUbltkSUWF+m0SF3FP/G5YDAXnXKTaiwGAgC6jsml+IHZe5niq69dw5dfOmxFSzSPg3GIrmPCsUw45mJEx76AuchbFzQVQVCEE1lckOCybFuEN4paR1vEhFc4ijr/Ot1KmovMiKKC/fepFTKa15bWSBgnWOvarVhg6MObb4vQr1XXXMQzv0d4LVGMKE4mC7JqC2xR8DOai7KL3c6hhyhOcE06irooJX7eVwYgRlp5Ey3C5IG5Ca91bRx6y50WAVDbOOrQY2su+h275CiqiLlgP8PZDKcsXr3Vx1WrHfzRU5eUr2PRoJMiABZWAAdhzF2H88yb0xKH3jxOZHERRnFhW8TLaS6YkeuMCO48CHMhMS3CbIuU1FxYJZgLP8LpHi0u2kGxhXGC1a7dCs1FPuY4C5JKWu09GykIOunmkl3IbbP5vitti1RhLi7sjXGm78K1zYUt3CHDVwYANnvunIkWPcGz2gfrS26LeIq6nCJwmQvXLhVcRgSd8+9rxzYF+oH5exkgWqY3f9UW/t/HLipfx6JxOA6xlo4iL0rvINJc5LUt1oLYk6o4ocVFJrjMZhv1ZNkE12Inm7JSAPPo2Fax5oLhl1HG5yKOEyTJlCZXUe0P/QjrXadVRlphFGOt47SiLRJEMUyDsAR52DWYPU1GUSVehxarVNAJtCNfhDrWVlnsiDtnFwBNe1wM5czSzpzuOXPJqEM/hGFgjrYHiNfFsgWd2f+tgihOMA5i9rRISROtvI03RdexuKfwbIZTHm/+qqvw/z62o3wdi8ahF2C1S4oLZ0EGVkGUcBnbbHwFoLNFWoUg9YIA+GIYP+tzwUtFzXm8syDLXDAFnYqbap66NxU2nHFAxF2uVawRWRYmzEULvDeieN7jgqKWaZFJW6Qsc7GYyQoVUA2SnSbylsFL6aQIsDi6l5VuCxCHzr1RMPNZjoMIK441N1kCNKC5qLG4oGsLW3NRTtDJMtECSBGsylwAwP927gy+/NJBocPnsnGQhpYBINkiC9IF8Q55eesCPYraIuQFnbzI9VmHztkNN6a9QlsiFVXGobMGzQVdFGeZC3kTra5rSflyLAthFGO9a2PchrYIw52TwqnBSZIK3mQWKj81b8vqP6waWjNV4afthipZJxf2ZpmLRdl/szbBzVTQvD+atkZ4ExUAHUVdjuYijpNJoVXHZAB14OQGl5U00WIWF47JXcsmAZGMn9vou3jd9afw+4+3i72gHhdAPc8+C0HqacLSzGVNIAG+brBpnNDiItMW4ZigkFG/aahR/rRAqTCpVFQph05GW0TxAacLenZaRPaeG6UntI5jtaa4iOIEqx27JW2RhFtc2JYp7azJgzdpixS/914YzZ302qK5sE2z0rVc2BvjFadocbEY50HeJriSFtfZ1sjIZ0+KAMtti2SZ0zqez4EfwbVM5vtQxf6b2Rax+WtKNsOJhTa2Rg7SRFQgFXQuSHMBsMW7+fvXaSCZVQYnsrgI4ulm7lgG8wOc8blgjKKKBH5ZuIIHa/pa00KGokxbZMpcTFs+0vbfflpcSIzOLgtBlGCt67RiWoSlaKdQYYh4UJkW8RiL+KJsiFVA2yKERSlZXKTW30C6aC7KRIsjxM4baQ0DEXPhTDwPFg26hlimUUtbhISWsf+ufsfGMIiUg/CybG8WXQFzwfsZCiLq3Gk8lC+LQy8j6DQXowsKQr47cV6j1wbWkoUTWVzkmQue5kLk0El/RqYtUrQY+JzIdXXmYl5zIW2ildK/bWqLRBPNRfPFRRDFzDFUoJ5xtLESczHvC1CH7qMqaLqvbRpISqa0Xtgf45oMc7EYsRxfiL3Rd3F5MG110KKbhfUltkXoGrLasetpi/gR+gy9BUAcOpMEQm8KFnijqCLNBatQzuLP37CBkR/izy4cKF3LInEwno6iOhUKaRHoZ8x63/ImWnoUtUXItiEci8RV5xfm7LgPq7igTEYdqaghY7Fbcc3SzIWV0VzI3HRZo6COBNOyLARx3CqfCz5zUf2Eraq5mGMurOZd+qigr0pKK3XnBPiJxVUhLC5yEyOsRFSKZTp00vWm7xZPn8lg6IdcRoaKPFUtwD2OoLPr8NdAnmU4hWub+IZzZ/D7j7dnJPXQy7ZFFifoBNieQ3kTrUWJSqviRBYXYZxkBJ3UOjnHTISzDp35DZd+mHXYf7OmRbppW0TFjY8u5vSSLEkTLT+KESdpz1mwECwbYdoWaYvPBc/TRKX9xIPStAgj6KkdzEXqc2GUcww9GAcY+NGkuLBqGPHlX6dKW4R9wl/rOjhYUluEfuY8Qz9ViISqrm3CsQzliRF+W0QwLVLAXADAN9201SrdxWGaiArU8+yzQD9jJnORa6MvSlRaFSezuMhUy3TcNF9czGgunPkCgRYEPCEShdQoKuNUvOIQalKFRYhS0SG9JlnmYpxmmEw1F+24UaM4wVoq6Gw67yRrq54HL/xOBXQUWFZzkfW4ANoh6qKMADVxixQ/s5f2x+g6JtZXFrtwi9sis7HrIz/ktkXWujaJxl5CMe6nrTDeWLwqeKFlFD1X3aUzK4LPomPz7b99TkGSxZu/+ir84VOXWsFgAtShc3qPLmqiCWAzF3mHWXtBrZmqOJHFRVb5TwWZ+c3BzzEX85oLtoVwHjJthiBkOHSmpwqVByq/AcqeZocBWURW2tYWiUhbJE7qszwui1DgaVJHwNY4iLHasUu3RSzTQNQCnwvXNqZZJ4rXc2HPw7Xr3UlxzJvkquM6+W0RdyZfZOTH3LYI3WCW0Rqhn7nDWIvKYOizrb8p+q56vghhLuZfUxRcls1w4qFtVuBZn4tFGb3RgoXFXMxHruu2SGsQxlOHPl5bJFtR8wSdPGo1i45TvBiw+vnd9GSqoruIk9lxSVnXxpEfoWObME1DypdjWaCjqMCUXWkK2VZaHnW4Y3pBhLWunFjPj6I5QafdAsU47Z9PNRdq1/Pi3mjicQEsTkciaovk80WGAZ+56NjEdO5wCcUFHT+uqy3Cs/6mUDXSoj4cLIG7UHMh0RZpmxV4trhYlKDTTwXkzGmR3H6hBZ0tQpQJLrNMA4YxfzIucuiUqbgBqtcQb9Y+o1ChG72K3iCMEwZzUbwQjYKpaK1NPhdBFE+EU01PjIQR30SrLkHnateRa4sEbOai6QUmCKeR64C65uKl/anHBbC4Vo+IudjMtUXGAm0CQI20lsdc8LKQVDEqYC56HVuJuRAJ3EWGgDwRaB5t8ruYCS4z6/k8skiShKx9HZu5Fuf3Cz2K2iJkWxqGYTDn6bPiJNY4qWxbpCvDXHAWO9XYdSI6nLWElrnvqcUxgNZpLlzLJEVWw8VFILD/diqesMMoJp4eHVs6uCzPXDitMNEi9zGtwVQLg+wYKkBNtJLa9TYBJ1sESJmLTFtkKJgWAUhx8djLB3j20hAv7o2wc+gthPnzonoFnQOPL1QFSFtEhbkQ2XiLg8uKk6UB4BtvaocVeJIks5oLq34hdZRmRPEm5bLBm8Di/GCqgn93HWPMRdYyNocZ5oIRXEYMg4rbIq4lobmI2BvXiqIFeFSSuRj6ueKiJW0RuqGXcSutGyLmouqkxnjGw0COucgLOuuIfa8K6nNhGIZSaB7FhT0P33jT6uS/7UnLMmEKBcsijBJmeieQai4yzMUw4PtcAMAbXrmJH/n4lxBEyeTvfcWpLj71g2/BqRWntmvOMhd1jaJetdbh/nvPVWuLiGy8O4LgMpm2CECKvvPXn8IfPLmLv3rr9dLXVTfGQTzTrnUWYFFPX4/HXOSzcdrQEmXhRBYX+VOow2h7+FGMTkZzEcYJ4jiZpGLKJKICRHMRpjkkvGkDuijn0XUtjBS0BmGc85xX0FxM2iItEnRG6d9Txq20bog0F0TQWaG4SP+21a4tHVzG8rlomrnIehaohOZRvJRx5wQyYus4hlsjySryVthMR1GTJIFhGIVtkQ//jVvw4b9xCwCiO/CjGO/5r/8L//JTf4YP/P9fV9810+KiNs1FhFcKNRdq+SJ0Q2S2RQQmWn4YSa2jAHD1Whd7o+WYlvFw4JHf358El9W/sdO9aJ3jTpzfv9oQWsjCiWyL5E+hrJ55EE7FSXQhzxYgoumBLGglL1oQWNkigLoFOJu5kCgusm2RlvhcJEmSJpEaygzOIpA3rsmCl6wri3EQwTAIFS2zSPAcOhfhZqmCIEombF8p5oLRFqGvWyfy7cMsTveJ7oX6VwwF2SJ5mKaBrmPhJ//qeXz0gefwwDOXa7tm6nPh1MVceKFYc+HaGCqMovohESCyDlCi4LIgSphx9iy4dj3W51VwOA4nI8HAYoze6FqyymmLBDmdil3xcLMonLjiIo4TxMlshe0y2iJeZqyK3kjZE70v2RbpOPRn+ZtjmFmUs1AtLvLJnbLFxTgr6GyJ5oJuKLZpEkOxptsiMX86qCprMA5IsSCbAsoOLmueuchqh1RbRUEUY+fQm2UurHLCUJnfxWuLrHVs2KaBK6kFuMhEi4cbt/r4gb94E37kY1+qTexH2aplTYusdiwlh06RX4UwuExy6g5YTAtCFVm9BbAYQSd9vbUupy2SW4sWwZ7UgRNXXAS55FCA3RbJO3QCswWC6CSbhSxz4TAq/hXXUoobzzMXsumU2eTHtrRFsvHxXad5QWcY8dtadkUnyXFqvS7bO2U5dNYxsVIV2U1b1QDr4oEHADM6AFoo1+0j4AsEnYZhzIyjFrVFePjet5xDGCf4T595qtK1UmRNtGqbFhH8XWWYC16RIAouK8oWyYKXA7VMZMdQgcUYWAXhtB3MCpHMDxM4NWQbLQInrriYpJlaOW1C3kQrU1HT/80WCEVpfpPXTuf+RRs2tU3Oo+tYSg840VxkPeflbvxs8mNbBJ20CLQtgwg6my4uYv6GZFe03/XCCF3bgiNZpHhhPGHEKKxWaC6SDHOhNr3y4t4YW6ud2bRHqm+q+e/Kp0rmkc0XGQahdFskC9c28YG/dh7/5n8+hucuD0tfK8WMoLMmzUWvU6C5UGAuRKP5dLydNfUjO9IPoDYDsSrIhpYBizF6o5ogXohkGM+baDX97LNwYouLGUEnoyLOqpgNw5ijI2XbIgC4NwlFEM07dAK0LaJm/11GczH285qLFjAXmbZIGzQXQZQw2SWgetz5OIjRdcy0vSLLXMxueHYbNBeZXrDqe/JyTswJpGPiC8hNKDLA2+hP80VGflyKuQCAv/DqM7jjda/Aj/3aQ5XHacn4sZUyF9U3kqHHDy4D1O2/xW2R+bby5OckfS4Aso42zVwcejnmYgEtCXp/8vxBgnB2fNcxdbZIKzA5EWc2CtYDm2cmOjkhlWxbhL6+UHMRs2e91TUXSa6ilRMb0URUIG2LtEFzkWEu2qC5iAQ+F3ZF++9JW0Ty82qz/TfVDqlqLvbHAXN0s2rLiYWiSa+NnjOJXR/5odDnogg//G0344FnLuN3vlzNXdKjwWWMEMUyGBS0e/odC0MV5iIzup8HXVtY64oac2E0HgNwOA4mxn7AYtqR9D3h+YPkI9e1oLMlmLZFZkd5RMwFMG8BLjuKCrBNuPK/i+lz4VbzubBNQyo8apQXdLagLZLVXLRiFFXgc+FUHAUbBzE6jkUEnVLBZfP2320JLptoLhRV9LyUzsWcDIvaIkRzkSRJoc9FETb7Lt70qk08dXFQ+jWAqYi3vmyREP0ag8tEzAW9V1nhZX44HfkvQhs0F4deiLWc5mIRgk7XMrn+IPmDrR5FbQmCKIZh5ASdrLZIVFxcyBr7uAVtEd4kguqJnT0tImei1Zsx0WqeuaACSsNoh+YiEGaLVPe5WHHMdJGQbIvkmYuWaC7oomcZBmKFVgAJ0prf7OpInM1Dpi1yeeinOgGUbotQ1LEpZn0u6nitIErQE4yirqrafwvaG7ZF7m0Wc6HSFnEsE0HY7D1+4IUzzMUiskX8kEwP8qLq8/evbTXfEmXhxBUXYTzvT8ES5eRv+vniQr4tUjSBwTtJVfW5kI5cb2G2SDYnZcVRm5pZBKJY4HNRURcwDklbRHbUjuVzUVX3UQfybRGV6xlwNAD2Ak6rsm0RWthXaYsA7FRlVdRpokX/LjFzoWr/nQjbG13HYjMXCm2RuiZlquAwPy2yoLbIVNDJmhaZvX+rOgQvCievuGCIJ/O9vCRJ5mg+1zLhRYtpi/Bea8VVG8HMT4uYkn342VHUdrRFwsx4brcFbZFA1BaxjEoTDeMgRtdWHEVlBZc1vPBmT1SyrBkFry2yiMTHorYIHUWl91zXrlhc1MQ2EM1Fdd0BbXeI2j2qqah+FAmn53jjqLL230A7NBcH41nmYhGsAd0PeMxFXlu3iImVOnDiigvCOOSLi9mHnwbHiNoi+XwSEYoEnaJpkWo+Fwqai5YFl2XzVkhbpNlrErk6WqZZSUxJBJ2mdAARK7isFcxFxn9DXXPBNnUqYi5+5ncex//zyEtq11nw7G6m+SLEndOcWP6XhZM7mJRB1kSraqEy9EmMvOjv6jC8f0QIQjFz0eFYgIus2PNowyhqNhEVINeUJMScsS5Q7RLvoJcfpV6ELqkOnLjigugbxG0R+lC5graIX3D6yaKIuQg5yYArrq3MXMyOokqaaAVx67JFaK4IoB7gtgiEccLdkJyKwUFZEy2ZjYMVXGZbzc+6V/G5GHAiwIuKlD988hIefelA6ToL2yJ9B5cHPka+ujsnC65dXSuQNdGq+nwOPHHcOkCLOvlEWq+gYOPFCqhMi7SlLZIVdE69WOq7LvociTQXRfEVbcAJLC7mhXl5uo0uBDPMhVV+WsQVbNhJknBDsZQ1F1FcSnORHbdrS7ZIdtyqFcVF7r3Noj6HTjlhKDO4rA3MRVTe54L4Lsxv5GQKRtxSVNXjFJloZdsiVSZFKOoUdBad3uM4KSzqBhLjtbQlKfsZ5vMu8uCFl7HcZrnX1AL774Ocz8UkXK/G66LvZdcxmTqV/N6ziImVOnDyiguGEDP/8HtRNPk6hWvnfS7k2yIi5kKUJrjimorTIrMtH2nNRb4twnHTWyayAspuGyLXY/6GVDXXg4yimtJmOD5D0KmqcVgEshNUqiIznu+CXWBtHESxsh6nKM9is+fCC2NcGniVxZwAyS6qLOiMpj4Xoo3kV//Xs/iOn/uc8LUCDlOaBb3XZTetIgaCF17mFwhBs6grbr4KDr1gTnMB1FxcpMJonucQqy3SNGvJwgksLuYXFjvfFkkXguz35QsElbaISHNBH15WwirPoY2HOCk3LTLy40xxYSFJ6k+iVEVWh9IGnwuRoLPqyWEcRKmgs1pwWdPUaPZEZRlqCx6vBZF/NvPwo0T53hDpZwBgfcWBYQDPXxlXHkMF6qHzPclpES+MCyn6IpYBUE+kLWIgeOFl6syF2vs4DiL8yMe/pCROFWFuWsQSt0WevzLCD/3Knyj9Dqq56PJaSQwTrbot8uvAiSsuAobTYj4VlVb2hjHr4plvi/B8D/IQiSQnpl4Mz4xSDp05nwsZr4HZUdT5kLYmkBWntqG4yItls6jqkDcO44nmQmZDZoU9VfXaqIokSWamMFSTYgc+OwLcKRCr+WGMka+24RTlAlmmgVMrDl64MqqtLVL1xD2TLSJ4rXEQFRaZLN1ZHvTfZSeQipgL/rRIxHX2nL8m9SL+0AvxS3/4DPZGgdLPsZAkyVwqalFb5NKhj1/74gtKv4ceXIXMhamZi9aB5bSYf/hZ41H5hzobL10EkfKafp3lobCi2A4g2SJ5FbH4pkuSZKIep9cKsHMAlonsA7Timo37XIjGF6tni5CpBNl8EOJzMbvpOQ2baOXbe6o+F0OPx1yIGZkgipl9aRFkcoE2ey4pLmpgLuqYcvDDTLaI4LXGQVy4AZNJLPHfP22LqAg6i6ZF2Amf0sxFCY8P+jtVAiB58FLzsey0iGkaMA1wC2A/ihHFiVJRNB1FnddcUI1e9v6lhXzTrew8TlxxwXqw8tQrqwrPq7RVHgrRBAa9KVk94DqYi6I+vB/FiJOpUdA0Xr7h4iLDFLTB5yKfRJiFrLMmD9NskWLVd5IkfJ+LBjUXdPGcjKIqakAGPttEyynIbSkr6CwywDvdI8xFe9oi0bQtImIuwkiiuCg+GBF3XAXNRcEoapcTiKjic+GWEHTS36mS8MrDwZgUKHmGTfTc0mJIpb09FXRaCKJZgS79+2ftv1P2pGXsxYkrLohFtrgt4oXzuoyqbRGuoDMkBUG2BUOxkt5csg94FCewFIPLximlTJkLw0jnq5vezDPamLa0RfgmWtVGwbw0FVUmAZQuLkyfiwY1FxPtUEbQKbvYJUmCkR8xHSNJ7o+AuQjVBZ1FbRGA5Iu8sDcuFbeeRx1CRCrodAqCy8ZBVPi+E0Fg8drlKLT7/CgST4s4FnNNEWWS5FHGnZRu6io5KTwcemEaKJYfA+cX9vRzZ03K8ECF0VMWefq+sQ6jdF1qWnOVh9IQ9wc/+EE8+eSTGA6HePe73423vvWtwu//rd/6LTz88MPY3t7GG97wBpw9e7bSxdYB1oMl1xaxKoyimtgfs3t+gaD/SdmEUSB+cCnyzIUtobmYuBBmFtE25ItktTEkwC1GHCeVDY1KX080X5RSVGUNxmFG0FmwmNOFpm2aC/r8TEdR5X0u/ChGGLOzLgirKNBcKAo6RaPfWWz0XVw88OpjLmrwuZAx0RoHceEmEzAOWCw4jEBH7muGCdye2JRrzFhTAiWHTnUGiK5jKgmvPOQ9LihEBXBQgrnI+lyQn43Rc9PXo8xFbhQVIJ/rCqrfr3VBuri455578Nhjj+EjH/kIxuMxbr31Vtx///04d+4c8/t/8id/EmfPnsUP/MAP1HaxdYC1SbDaIvnN3LVNHHpB5ntU2iL8zVrEgNAe9MiPsN6dj6POI4rjOROtog1nFJCEzezPdRyrco+4KrJ/C2VVvDCupQdeBqGgT21XDC8aBxG6riXVXqGfS/7eUxVQ1o1wQteqMxd04ecxF6LX8cNISZckGv3OYqNHnrc6TLTqEnR2qKBTNC0SRIW/q8jng0Il16UoI4Q3+VZkvpVFGUFnnczFQW4MdXpdgrZIer0qAnm6/0xb1NHMv5HfOWv/DaCSS/AiILU7+r6P97///XjXu94FAOh2u7j99tvxgQ98gPn9P/3TP40wDPE93/M9tV1oXeCZaAV55oJRXJRti4hc9XjunABZoF3blE4nZDEXRRvOkGGo0wrmIsMw0Qq+ydZIPrcli6ptEZotIvM69HNh2383q7nITlip+FwM/BCGQfryeRSN5wZRotbPZrjvsnA6PSrW0RZx6vC5yDAXccKf4hiHkURrTW5DVzGtKrLx7jDcJnn6IR6a1lzkx1ApRPkiU82F/OdPQzPNdP3P/uxkujCzFi3CJbQOSH2qn/nMZ7C7u4vz589PvnbLLbfgvvvum/ve5557Dj/xEz+BU6dO4R3veAe+5Vu+BZ/7nNjUZZlgTXkQqnGWucgv3nndhFpwGXukCCAPpahI6bmWtNKZjEtOr8mU0VwwXAjbEF6W/Vs6tgnDaLq44H9OldsidFpEIgSJFr55jU7TyYj5DUvlekZ+hJ5jMXVHRcZiqiZatLgoOhhs9klx0RZBZ9ZEC+BPcUi1RQp8PihkNECT1ywoEliTD5SRUmmLqDJAXo3TIocep7gQCTonmgu1e9SlByt7doQ3iGKYBmbaw/RA2bZxVKlP9eGHH4ZpmtjY2Jh8bWNjAxcvXsTly5dnvvfee+/FNddcg3e+85346Ec/ile/+tX4lm/5Fly4cKHeKy8JVnAZsW/OGmQxCpDcjR1IiqKAeXfPLIooyp5jLZS5yBpoUYiKoWUhm4pqGAYRdTY4jioSwckGjvFAp0VkXodHP1e1IK8KP0xm/ApUxnMHfoQeY9EG6KmQ/TpxTPQTi2yL1OFzUVXQGcfEQ8S1zcl7zGNCxlJtETnmosgdNYtC5oIxispr8fFAR1FVRi5rZS5yoWWT6xIJOkPaFlFgLjLvZceZnTQMGT5NhmFIifeXDalPdW9vD6dPn4aZORV3Oh0AwHA4nPne3/7t38Zb3vIW3HDDDTAMAz/6oz+KwWCA//Sf/hP39W+++WZsb29je3sbd999d5m/Qxrs4LL5aRHWKGp55oI/fVH0OiuufHFBfC5yp0cJQWee+u1wxsaWiXwIW9P5IqK2SHWHzqmJVlgwr05Cy+avox3MxSxVKzuKOvRC9DkMgUjQSVkellBQdJ0Ae/Q7i420LVKLz0WBN0URJkGKdqYPH7GfBZlpkSCKmY7AeagIKGVMtPJrSpD5u2RAPzMVfVOdPhcH41kDLQrRxh6UYi6mhXrefIw36WQriG+XBSm10ubmJjzPm/naaDQCgBk2AwAuXLiAN73pTZP/3t7exrlz5/D4449zX/+RRx7B+vq69EVXAcvnwrXlBJ1ehbYI7zRR1P/suTZGkg8Gi7koehCHDH+BNrRF8oxO014XLPM1iioOeVGcwI/IKCotpkQJrH40b/0N0NNTs8VFdtFTZS5WOMJJR/A6tNj3w1jooJq/Tt7odxYbdbZFLBN+hVNltrig94WoLRLFiXCyKpCYlgGKQ+NmrlHC/rsqc9GxyGehsvZOmIuaigtWW0TkxVJGc5G1Z897JPG0fo7VfCpyHlKf0Llz5zAYDDAejydfu3jxIra3t9Hr9Wa+d21tba5VcvXVV88VIU2BZaBjm5IOnXP0lIKgk3NzBQWGPj0V5iKO53wuik6PWetvijbErueZi66jFuJWN0R96ire/rSI69rW5DQpWiQ8RmgZ0HxwWV47ZJmmtHp96IuZC96JLLvByp4MRU6rWZyusS1CHDrL37vZTdgwDOHECNU1iLQ7su7Cjq3SFhGbaJHgstlr8sIYhgGpopBeDwClsd7JtEgtbRH2tIiofVTKRCurucgxFzwDOKvAD6YJSBUXt912G7a2tvD5z39+8rWHH34Yd9xxx9z3fvM3fzP+6I/+aOZrly5dwlve8paKl1oPonieKci3RXgOnbOx7PLmLyImIIxiobe+SnHBcugs6sONfEZbpCUmWtnNasUtz1wEUYwnLh5WsseNBMVkFYdOuuB2HWtSGIroTVbLjlxDsz4X+U1bZTx3WKC5KKKcAXmxr+ykRJ1tkbxgXBV0g6JFpchMih5ixJbpcnqxvBat6BqLItdZbRGWOJkH+voq+hX6fNURXMadFhFopSZtEYXickZzkWN8Qsb+BTRv/8+C1O7oOA7uvPNOfOxjHwMADAYDfPrTn8Zdd92F3d1dvPGNb8Sjjz4KALjzzjvx3HPP4TOf+QwA4KGHHsLKygre/va3L+hPUAOLEnTs+VTUolFU1VRUUbaII6jcSVtElrmYnRaRCS4bBQxBp9M8cxHEs+E8PM3FHz9zGe/8958Vvtbzl0f43z/8u5U2X+Lsyve5iBMivFMF/Zs6tlkYggTw7ZKbFnTlkzZNhVTUgUBz4QiKJj9MlfMGpJ8RWY8HxzLx565dw6mVYn+ZIhTFpBfBy00IiaZP6CGmKI9FflpE7jMsKtpYDp0q7pzAdCpC5b30wgiOZUgf0ETIh5ZRiASdXkmHTnqP5rUqfsi+fy3JXKJlQtoh5n3vex/uuusuvPe978Xe3h7uvfde3HjjjXjhhRfw9NNP4+DgAADRWHzqU5/CT/zET+BNb3oTnnvuOXziE5+YEYM2iZBhouXkp0UkigvRaGIeRamodQk65zUXciZabM1FC0y0rGxbhD0t8vyVER58YU/4WofpqUWlV5uHqH2V9fZ3FR1ExwHRUJimURjfDLBDy4DmTy5ZKhdIdSiSTNGQE7cOUOaCr1dybROWYUjTzkVTDVl86gfrYVsdm7A4ZR1m8wWlYxnc55NuYqLTPQkFlPO5kGUJigSdHUYqqorHBYBJS0iluBgHMTZ67kI1F7Vni2QFnfZsUcbbd2RyiZYN6eLCsix86EMfmvv6ddddh52dnZmvvelNb2J6YLQBLErQsYxZzUWUzKUmdvKjqAptERFzUWTG1XMtDAN5nwsz1xYpHkUN2W2RNgg6c9MiLOp758BLZ/v5pzFKifrh1EZXFZFAZDlVscdwFeN6iIEWtcwuzgjgCeeaDi7Lb9qWaShoLuYLXApRvgX9na5lqrVFChJR64abofO7pnqbJb8Ji5gLuokVhb3JOnTKblgygk5mW0ShuADUDcm8MMJm363H/pvncyFgLujnpNJmzhbq+cm9fNw6hYg9aQrtoBOWCFL5ie2/yYMyuwjMjaIy5o15EPlGBLHYRnzFtaQfjFKaC56gs2mfi1yLh6e52Dn0AQBDwcNLmZ8qXgNBFHOFZ9kpD1WMw6nmxTCMwgAyP4zRYTlZKmR5LAJzmgsV+28/ZOaK0NfhCjrDBB3bTK2l5T5b3uK8SEy8KUref34UzawRPEFnGMWT91zYFpFcu1yFDUtmFDV/evcKdBosOAWpsHmMgxhnVuthLoZ+hL5itsiEuVDxuci8L/kpG95htOm2KAsnr7hgmGjlqTauoDO9QZIkkRaGAam7J3eBLGAuHFttWkSZuWBpLppvi+SNflYcixmtvTsgI9Iiwda0LVJFc8FvX9Gvl3m4qYEWRZFLpxdGXOaiSbV4kBMmW5b89MrAYyeiAuLTM2UuVMS+VVpjZTFx1Sz5TOVFvA6nuMhuYOK2iKSJlimfQlpUKHRsa26DpcZgKlC1APfCGJv9Ti2aCy/NYcpD5MUyMdFSZC6mJlqzUza8aacjO4p6nMDqnTu2MT+KKohcj+IESaIwn22TD551A7JMvbLouRZGCm2ROYfOgr53W+2/50dR2RvIxQPCXIiKi2xbpAySJCmcFgH4eQ8ieDlBbZFLJ69P3XRwGUtzocRc8EZRBe0eugiruLf6DbRF6PNdtvjLf+YdTluEnnDzvj15yLdF5D9DGeYivwYWtVJYUE1GHQcRzvTdyQGjCsZhzMyaEXnMBFGCvivPrNGfoe8lsQUonhaxWmiideKKC5YgJi+GYVksu5Y5Uf7SG0mlLQKwLWCL5u57HRWfC4ZDZ6ngsuanRcKcr8QK5wHdOSTMxaGgdZQVdJa6lvQ9XEhbJM0VoShy++QJOpsOLsuPIloKbZoiQSc3zjo9gau4t/J8AhYJyyT2zGWL2/wmzNNwjYMIhgH0XUt4D7GMBFlwBSfyomvMo0Pjw8PZ4kI0hs+8JkW3Uy8kgk4/jCtvvlzmQmC974Ux1rqO0ijq7LSINcdcsO5fW6BNagonr7hgCDrzbRFmtkjG154+2CrZIgD75Fzs0Kk6LZLzGih4oEY85qIFmgtbRtCZFhdDwclkorkoubizkgizkNFK8DAOo8nCCxQvElzmomWaC8uQL7aGfog+R3MhcomkBU1XsS2ielquA1XyRfKHHcdity3HqTV80ek+jOXsv23LkHIWjeIEcSK28aYFdF4/0FFmLgxFzUWEzVWi4q7aGuExF6J11o9irK/YJUy0KHMxyyLn/X8oRE62TeHEFRcBaxTVns10YDp02lNqk1bOKj4XAI+5EM+crziqPhcZ5kLCa2AUxPPMhdOGtkjORItTXOwe+ug6ppD2nLRFSi7uVAMhOu3JJJqyQHNFKIpSQP2I49DZAvvvmeLCMqV9PwZeeeaiY5tYUXBvLUohXhTyRn0qkJ0WGQcROrYlnLABiBBWpjUk0hLkrw8Qr4fEp2O2uCDMhdpnwdOb8ECYC+JVUiVfJIyIrTqbuRC0RShzoRq5blOHzhxzwRkAsCoY+S0KJ664YOU20GKDLmKs/iH1tfczimzZ4sIyycmWrfAWT4uoRK7nxaoywWVjn8VctKMtkj1ddd15QefACzEKItyw2ROqwSdtkZJ/Ex2pFNHpZZmDcRBNRlGBYuaCT80aSJLmYpfJM1Nec1EmuIwa2ankzsiaaNUNkatmEfyc5TtvWsQLSYutqLUWxPMHLOY1S+obZJhcwzDm/HO8EiySoyroTH18eq5VyQKctnM6TOZCwK5FMda7qszF9B7t5CPXOQMARQVlEzhxxQWLKZioudOHhGVlm21tUGdAWU98gC+S9CO+8yOQCjpVmIsZUV3xhsceRW3BtEhu8oXFXOwcerBNA9edXhFqLqqOokozFyVeP59KWziKyhHOTXUfzXxuTJ8LBc0Fz2ZbRPdSV1AVzUUT0yJANZfOvJOlwylUKAvmFPhTsFrDLIhGLLOQTTft5j6nQNFEC1B/H6lGqefalZgLet1dxhi4I3hm/TDG+oqjnNxLP+/uXOQ6m+nWo6gtAGsUlVJQYYa5yJ8Os8VFqOBxQcGz1A4zbmwsrLgWBtKai9lCRYYqHzKZixa0RXILILu48HFm1cVqx5YcRa2muRAVgeWZi3he0Fno0Mla4MjXmmIu8oyAisCU5x8A0OAygaBz4nNRb7ZI3eAVBDLwgllvkw5ngyUsmFUYvy1bYDm2XCrqpC1SwIaQU7hY21YEkSEhC1Qw3e9UYy5oyBoz7rzgHl3vOtKjqHGczIy9z0eus91VtYlWC8Aa/aQUoS9gLrKK7zKiMJcjwgqiurNFZjUXSUHmBTMV1WmjidZ8X33n0MPWagd91xYKOquOotIRX1HAkuwpLw9vjrkQnzp5wWWUsWqKGp3TXEgyF0mSYCAaRS0Qy7mWoehz0VBbpKqgMz8twmUuzMLWgXS2iGlIJZDSgq3I2pycwmc1F2UcOlVHUSlzUSW8bJy2I1lrgMih0w9jrCm0RejBghbA+RY1r63XRvvvE1dcsMaw6Ac5sWrljFWRBSJKiw+10w9PJFk4iupaROch8UDlp0WKRiSTJOFPi7SgLZL9nFin051DD2dWO+h3bGFbZCroLPfwidw5KWQmc1jIm2g5Ba/DG/mjrIqs5XbdmPe5kOsBj4MYSQKuiZYjYITo5kR8LuSdJJsoLlS1AlmwTLQ8xj3ipZNHos0OSHVnEi1d2zKlRMpFiagU3ZzzL4shLoJjqY+idh0Tfdeq5NLpBewRcIBmU/FHUddXHOn1lL7OJFtkjrngtEU0c9E8QoaYyTCMmQTAvNsghZtuumXaIjwRVtEpgp7oRPbWFHnmgm44vGTUICLmUGzNRfNtkaJR1N1DH1urLlY7lthEK2U8ygo6Re6cFGUd8rLZIgBd0MXMBUtURj/3ppIR82mNsswF7YPzNBeiNhEtzNV8Lo5eW4Q5LcJgFLKaC+EoakErdnLNBdqNyfUVGGhR5MPLZIuSmWtSiK9PkmTKXHTknY5ZGIcRU28B0Hudb/SmxFyk98h0FHWWuQh4ket6FLV58MRMtjmlLXlRwJSOLNMW4Vlq8xzXKOiInkxrZC5bpIAqp6/ZymmReN5Ei9UWuYoyF4JTCY30LktLhxKmQyTyuAafi6JRVI7994S5aLItYpcpLiJYpsE9wYpivykLoeJz4TfUFuHpJGSQzzoiuoP5v5dOHjmC8V2gWEROIduCUGIuchblZdrLss9xmPpvdChzUaEtImQuBPeoH6mNotL3eyZyPZuKyjHRsnRbpHnwWIfsgxSEbM97yj4EJdoiPM1F/sSXh2UacG1TqurmMRc8qnw0UUAzfC5aoLnIp6LmH1DSFnHR74g1F4deiI2+W8Ghs3gxLioKeJhvixTbf7OCywzDaFQxnm832JLFBdVb8PQsIvfDMvbfjbVFbDXzpyz8KJLMFiH3UlH/PZS1/5aeFhGP01MwmYsFpqLS39WxLbJGLIi5ELGNfpiOoobRxEdJBD+anUTsOrOZLCHHvr6ondoETl5xwRFQZv34eRU1DSBTSUSl4G2ARdkigLzXRd69zTTE44mjgCxaeT0BbYvIPAyLQhjNj6LmtSc7hz4RdAqU4EmSYOhHEwvgMuBZ7mZRds68zLQIbyFXGf+sG/kpDEuSphWFlgHFYjnXMtB15CPXG2uLKJo/ZcHOFuG1RSQcOiXtvx1BtLvo+njo5BI+F50tQg9zi9ZciA4WQUQ0F0kiNwqf1+ARt+TMe8ZJ9ZV93paJE1dcBBG7MJhpi3AelklbpESvcH3Fwd4oYFxPsWNgz5GzAGcFl9GvszBijKECZBGIk+YmD4B5VXTXnc8myE6L8Bw6vZA4653uOaVPjqLQMoqyrEE+OK7o1ClayJvMF8m3G2SZi5EfcSdFADGTQ3v9KpqLptoilXwuZE20UhasqJ0hOwIqsl7PQna8t5trDReFnbHAcydlgWatuJaJXsG4ehE8AXPBE+vGcYIgSrDetdPrkXsvswUXi7nQJlotBSu4DCC05cREi/Ow0OKiSCfBwqkVB/tjVnFRTCmuSOaL5Mc36cmf59I5CtgjgJR2b1J3wTLRAma1JzsH3tTngnMqoUXHRs+VGqtjXotEj7rsnHk+r6BoY+AFlwHNnl7yBbclWegM/BA9Tq4IfR3e+5Fti7TdRKuSoDNvomUZnGyRtC1SsNGQlqOMz4VcW0RW0Jm3si6ruZAVdFJPGMMw0HctDKs4dObal1nw2DV6mFnrEvtxGa+LfKuIJmrTZ4AnLi+bbbRInLzigmGiBUxPSEmS8JmLVExU5vSz3q3AXLg2RhKUXp65KOrDj/yYw1ykxYWCZW3dCHNsgWOZsE1json4YYz9cTgRdPLaIgMvhG0a6HdspghOBjJtsLJz5l4uFbWotSFiLmTV/YtA/vRqW4bUWCyJW+e3RRzBSGuQ6pVUBJ28k9+iUVnQOTMtwk49pZNHjmVwJ6PiOJFi4gCqd6lR0OmYM+mg5Xwu5AWd2YKg5/IPIDLgmdcB6T3KuNfpe7fiWunapc4CUbE3LSZ5LJEeRW0BWMFlAJ1VnuaG8NoiXklB56kVB3sjhuZColCRYS6SJEmZi9nrEoWX5a2nKehpolHmgqFzyGZI7A5IGupm3001F+yFY+AR90den1ruWiQEnWWZi9RVkaKI3uQFlwHNay7cGeZCjqYlmgs+c2Fb5G9i6X8ora4m6JQTH9YNsinW43PBNdFKJ48cky8wnJo0yYyiyp2GZafn5jQXEVs4L74meZ+LbEHQ78inS7MwDiLmCDjAZ+noZ+RaqYusxHh/vlDLp8mK9y/NXDQKVnAZMFVzZ2+IPGbbImpv3akVB/sc5qKoUOlLFBd0LZkrLgRUOStXBGCHDC0brPZVN7OJ7Bz42Og5sC0T/Y6NURAxN9aBH2K1Y1cKjsqzKCyUdegcB/HcKKqwLcIJLqM/21RbJM/mWYbB9VfJgmguxIJOAMz31kufHdYkEf86m/K5kJ9yyCN/aubFjlMXSZGhGy0WZN4DWfGkLAOR11z4YVTC50J+6ibLXPSrai4CflFvc4owep2kuDClWnf54pemydL3jWelIPLaaAonr7gQCDrDKJkWF4wbqZNuUKXaIis2ty1SPC1SbAFON9Z8cWGb/EV+LBDTNW2klW/xAKkFePqA7gyImBPAJJeCRXseekRXwluQZcCbLc/CLmmiNcq1ReyiUVRBf7vJ2GWWz4UUcyGw/gameRWsk2GQThusqLjYSlpf1w3XYrcyZMCeFuHZf4tNtCY5OTKjqJLFhSxz0c0xF0EJ5kJFGJstCPpuHaOoPJ8LNlMUhGQNM01D2jsovx/Qg96EuRBYKWjNRcMIOJ4F9KbNm5jMfI9NFrGybRE2c1G8ccm0RejGlv/bLMFNN/RD7gPTdL4I633JunTuHGSKi/TkyzqZDNO2iKptcBYyAt4ixoEHlv03bxSVqs9Fmou2jKLKay74oWX0dcjrs9siNLgMgFTyZGNtEbvc/QHMj2xyfS5mpkX4EzbkNSSYC8kC0ZPUXOT9c+gosQrI3y4r6MxqLuoYRRUwhozPNutPkvf44MFn+Fhk20k8j5IiEW8TOFHFBendsgsHSrfR9DteAULbIqqnn1OcUdQwiuEyTFGy6LkWhoH4waAnOxZzwddcsAWdQPP5IhGjfbXiWBjTtkiaiAqQv7nrmExR58DLtEUqMBfF2SLqD3eSJGn2gdwoKr3+tk6LzGouZH0uCpiL9DVZizf1BMj3pUXwGxR0VpoWkdJcEJ8Lci9ymAuquZCaFpEryANJO/E6gsvURlGzmgu+6FvqtQqYC9Yzmy26CGujzlwAs+0kXhu9yTF0Hk5UcUFvStbiQhd1SvGxHAOn9t/qpx86ipoXpvmyzEXBgzFlLmZfyzT4Nx0rtIyi6bYIKyxsRtB5OGUuAHBj12lbpIrPgIzGxikhppyY/OT66Tx63xO07AB5bwkWHnx+Dz/8sS+V+llgcT4XIq8WOsroWiZMQ9Iiv6lRVIUphzzmpkU4r+Wl4mDC0rHf+zBKYBooTDAFUjZO4jNUa4vkfC4s/mfPgpqJVo65qKi56PJMtDhsY5ZllNdcsIoLKyPoZO8XZTVfi8SJKi7oSYpVtdObVjR7TTfcQGJ6II/1roMgSuZG5qQcOp3ifmEo0FzwFnlW3DpFx262LcKa585Ga+8cerhqbVpc8ARbM8xFSZ+LgDO+nIXIj4EHumDMMBcWf0GnxZ5oWqQsc/Enz17BfX/6QqmfBdiR69I+FwJB5zSQjVFcpCdDwzCkvS6ailyvGlw2I+jkvBZlwRxTFPYmX1yRE7msoLN4Pcy3BrwS7WWVyPU8c+GFcroc5mtxbPcB/pRWtp3FSnVmIQjnD65ZFpnn02Q12BLl4WQVFwLmwk17oiKqLhtcpuqJv75CjFTyrREZ/UbPtTAqaIuINBe8m27oh/zighO0tgwkSTKXkwLM5ovsHPo403cn/8Zz6Rz4U81FFYdOS0LQqSqoon/LfFuEb3fNa9mRny0v6HxqZ4CBF5a2fA9y7T3bNBEnKHw9orngn16nicWsk+H02VmR9LqQdZOsG5UcOnMnfN5rjVNxsOheVCmuZGPiVUZR54LLSgg6ZYs0LxMKqJIuzQINhWOB1xbJ7iV5p00eWNNMXceaeA6FHNbcKan5WiROVHFBHxReWyRI2yK8h4/SkWXaIpZpYK1jYz/ndRFIxHnLCDrDOIHBoDttk1/R8ky0gGbbIvT0nf+csqfTHUZbhPUeDbywsqBTZkMiDp2qxUUExzJmiiiR6jvrOMhCFVHXUzsDxImcRTEL+eeG1mJFpymiueAzFwA/vCxrH50dU1a5zmVBJSo8D9a0SLGgk89cyGpObEmWQFbQmW8NlLH/VvELGWdaGfQeK+vS6YUx1+eCJ+bOFl35dFMeWPcnmRaZukcz9y/NXDSLSKItkjesyWJiolWiLQKw80VkHnYZA5iIQ92bBj8jJJ9rkUWTses8/Ug3E7u+c+hjK9MW6XUsNnORxq1XEnRKOHSWGQNlicSKEhZFRW0VE62ndgYAwM1oESFJkrkTsT0ZIS1mLkSaC4BvUJYt8rOTRCI01RZxFdI888gXFzwWbja4jKO5kDjMTK9ZYRRVNrgsL+hU9rlQ01zQVoZlktZZ2YkRygoxr4lT1Gf3kvwYLg8sVjwrhOWNxWv774YRRDFXzOTaZHMQjfpVaYsA88UFnV4pzBZxin0u8lkcFELmIogmgWB55NP4lgme8JZuIFGc4NLAm22L8DQXPmEuXIVebR5RLv6dhTLBQdSXIAtbYIbjC05P9GfLMBdBFOOZS0MA7HHeIky0TDnNBVDMXAwLTLTo6/JoZ/ocrrhyi3dTqahli9skSZjTIkE061qaJAlx6LQtoVtsELFToVmwLQNxQkagRVCx/54bRS0Rua6iuciKMEVOvkUQZfrwGJ5si6MjafTGYsWzzAXv/i1KU24CJ6q4EJ1ASSpqInxQJqOoUfFmw8KpnJHWdBMtMtEqjlwnplPzryM6zY78CD2Rz0XjzAW7uLg89BEnmBF0rro8QWdU2aGTNbmSR5lRMNZpSKT6FsWtA+VNtJ69NIRlGljv8tNlRaD3sTvDXJD3q5i5CIWaC/pa/MV7ejKUYS6aSkVVmXLIwme8t3RDzhYrfhQjSTAx0eJrLuTH6Ol6UrRpyTIXWVFjHCdKLApFR3I8FphlLoA0X6RsW0TAXPDGx4NM8STbZmaxOZ0Mc8Fro1eZFFsUTlZxIajaJ9MiRYLOdKKkzAK13p010poadkkIOiU0F0zmQqAFGAqnRZoTdE60MXkTLZf4XOwe+ljt2DOn/n7HxoDxHh16JHWziqCT5+qaRRlaMp8rAlBhqIC5ECziZZmLp3YGeNWZPta6TqmTHR17zJr/yDIXA6+YueD9XVktTNct7yOwDKgIEbNgjR/T68++3lQcbArdaMm9LHcwoptckVZENt00K2qcFE1L0lwAcoc0HoTMBW9aJIrhpj+TT4TlIWCYaGVHeHltdJ4uqUmcqOIiEGwSzqQtwneNy/pclGmL5I206M0gI+hkbZxZsOyyATFzMfbb6XNBGYD830N9LnYOvYmBFgWP8pwRdFbQXBQ6dEoq67NgtUVEwlAvjISLcVlR11M7A7xqqy+Mrhdh6vrIYi7473kck9HsYs0F+7MLMsXWimMq+Fw0kS1SkrkIqXHarKATmN30vcxYs2jiSHayA5i2JYvYMD8sfj7odfthnDrNli8u5DUXs+OjvAOIDESaC15LIutAWsXnIjvCywu6JAF/ui3SGEKO9TdARJ60LcK74enDIZOSyUK+uAgZizILMtkiPObCKjDR4tp/N+hzwTP6WckUF9lJEYAsHCxKf+hXb4uEMm2REg83MfnJt0X4i2dZ5uLxlw/wC5/7CvfnntwZ4FVX9dHvWDgsQRtP2numGnNB2xj9IuaCM0GTFWe2X9BZ7v5jBSnymAszHVMWFaiBAnPhSDIXQeaELgJda4oCIouuSfZ9zI+P9js2hgvQXDiWiSSZv9fz00xl7em7GXE9b5hA5OzbFE5UcSF6sGRMtKajqOpCJGDq0knhR8S3oGjj6kkEM0WcwkmouRCcGpv0ueBpY1ZccjrdOfSxNcdc8B06+66dKt/LPXwyvWFZN8MsRj5rWoTfXiFx6/xFnJeM+MBXruCf3/8w9/556iJhLsomR7JcbQ3DIJNKgvecsiS81hyFY87bWVOh46S4kBB0Tn6mxLNbFVSEqQo/9cExc4WbZc5On9DJI+ILwt+AyQFL1ueC5roUMRdybFDWpp2lJZGBil9IPia9L8EAi16Lr7lgv09ZjVTXVsgWETEXPM2FFnQ2C8I4iNsiQkFnhVRUgEyL7M8wF3KvsyJhABNGCSyOilgk6BRrLpppi/AKJepzQdois8zFaseaE2slSZK2RcgoapXgsiKmSkRF80AisvNtEf4oqheIi1qeGHTohxgHMR596YD5c0/tDPBq2hYpWVzw+sCi2PWhFxH77oLN3mYEceVbijI+F9NR9AbaIiU1P7zDTt4CPBuAJ/I7UWmLGIaRioRlmAu5UVRyrfFMYqgKHJuwMkUTLAB1LJ0VdJZhLpIkYT6rFPQglH/Ps3uJvEMnw/47ZS7iOEkzlziCTs1cNAdR79xJBTEi1zi35raI7FgYnegQLZ78aRF2Hz5JkoJskeamRXh22xPNxcF8W6TnzusFvDBGGCcTzYVXRdBZOIqqrtYe5xY/QOyy6RUs4jzNBS1Kv/js3ty/DbwQF/bHE+aizLQI6bmzJ5VEAtOhoLjNguU4mZ9QkWmLyGqcFgGnpM8Fr02bb/MR8SL5PkdwD6m0RQAIxaGTa5QsWKy0ZeOFEfwoKvU5TESmEqd0L1cQ9DsWDktoisI4QZyAa//tcLQp+baITJuZKehMmQv6N/NMtFSZ00XjRBUXojEs+hDl0x2zcK2piVbZtkhe0ClD0drp6U5kpMWdFuEq7UkVzNdcmI1pLiJeWyTdQHYHPq7KtUVYp276fq127Ml8fBl7a5EQmMIqodbOx60DfE8HgC6W6poLWpR+8dkrc//29O4A610bm323EnNRZjxu6BODsyI4jDHfvCBQpriYCE8baIt0Sgo6eaZ+eSYkG9IlcgOVmXya+T2MllQeKn4VdPJBZFYovB6GmJUHNnOhzsayMoCymOTfRPPMxUxwmQQTLPK5oOsCywRSj6I2DNEJ1LEJrV3IXKRGW7J9yyzWV2btvwNBmyaPojEq3rSIabBvOroQi7NFmjPRYrZFXAsjP2a2Rcipe/Z6B14IyzTQsUlxliTFvgss8MKCshAZF/FAHRXzr8M7lRVlMfA0FyM/wvWnV/DF567M/dtTOwO86qpVGIZRSdDJmrCyBPoRgOS+9DpiMSfA1qFMJ1SoGr/4ZDjJFmqoLVJ2WoT1meeLlXEwNVjj+YIA/M+KB7IuFo+iyrIQVD8gMisUYcJcSLBA+VYG0VyoF8+UweUV9nSzz6+zWUanI+nQyXovqUPnpLhghMTJWrUvEyeruBAkkKq0RcqGH81Ni8TyD3qvoKccxglMRuYEr6KlN3ob2yK8QmmiuWC0RVYZo6g0bt0wjMzMvvrfFHKuJwtRJggPTJ8LgerbC8pNiwyDCN9w7gy+/NLB3Hv01EWitwD4otgi8ESShcyFJ8lcWPOn5yBKZsTQXYngsibbIlTQKaMVyIKruZhri0wFhyK3WJUDDUA+w6K2iIp3CF1Xylh/A9kJFrnMk25uFLUsc2EYfPGpaRLxcv6asgw3KarK+bB0UmdTf1Ics541PS3SKITTIrYxGZHiPSgdu7r99yiIJouCH8pTlEVeF6SVwD49MvvwPvFM4E2qNG2ixXpfug5hb3YG7GkRag1OMfRJ3DqQWZRKxK6LhMAUlqlu/+0xs0X4G3Ixc8FeYEZ+hFdt9XH1Whdfen5Wd/HUzgA3niHFRfm2iEhzwb+HpDUXDKEqFb7RCZUVCUEntf8vms5aBCb3nyK7RZiL+fcor+HIFqqikL6Qs07wIGrTUQShPAsx0Q+UbC1b6UYuszbNMRed8syFKDAQYItoZ6ZFMi6bIrAOrkTQGU2eJab9t26LNIswjpn9KmCq9hc6dFp0JDThvo4I610Su07HUQmTIslcuDZGBW0RFc3FSGCgBTRvosVaAFdcC3FCFtx8W2SSeph5jw49ErcOTHvzXqT+N5GpngLmokxwWRDPba4iStsXzNoDfFHp0A+x4li45eypOd0F9bgA+LH1RWAp3AHisVKsuZBpi8xP4uRP9HKCzmbcOQG2N4UMhILObFskc0oXtdZEmjIWeHH3M9eoMIFC2wOy46vsa5JrMTE1FyVGUVnaqLlrYjz/2eybrMumCKxCjbp7hhFZ41lFjh5FbRjFPhcFkes2UePTqGxVdB0LHductEZUFrui2HXeuCRZ4Bl9eMGkCJD62TdlosVpQ9AH3LVMrHdnNyVKr2fHUQcZ2n06i15Gc5HAKigmy8SdjxkCTRGlXeTQyWMKaPLorWc38CeZ4iJJEjx58XC2LVLiZCfSXIiKC1nNBcsUKr/prrjFPgIssdyywHLVlIEXRujwRlEzhYqX2QAdAUUeKDIXtsQIbSA4kOXRTf1zygo6Aep1IX4fWeOjZYPLvDCea1/mwXLozUeul/a5sIkYVNSOp0Zeqm23ReJEFRcipbRrG5NsEV5fmz4MAz8qrTjP6i5U3AJ7BcUFj7ngjQOOC2yXm2yL8GKF6ajd1qo7V73blomuY86cvA9T62+AzOyX9bqQEnSWzRZhtEVEzIVoc+RRo9TPJM9cXB4G2B+HuHEr2xZRP9nxBH2iRF5AXnPByk3IL7RdSeZCZWOtEypagSz8nIV19vXmNRd0WoQ886zJqFAwMceCzH3tKWjQqN+Dit9GHq7E5A1rfJQ1ri4DYsYlvlaHIeienRYhWpOiaTW25oIc9AIBYz6ZWGkRe3Giioso5vtKUNtl0elmUlx4Yam2CJAvLuQXu36BBXjI8bmwLYNZzQ79SBjf3biJFmeW27XMuZYIRV4zMMwUF8C88ZAsAom2SBlakh25LhB0cjYaCt44LGWpXnf9Kby4P8bL+2MAwFM7h7h6rTPRpZBpkbo1F3X4XMxTzvnfKau5aKotwnLVlIFI0JmfFpm0RWiaKeNeCGM19qZoI0+SREk/QW2wZWPaWZAxJGONj/ZLjqJ6QTFzwbrX/WhWcwEUa0VY7ESWueAy75yJlSZxoooLmbaIJ+gF0hsljBPmOJAMsi6dsg6dQHFbRJW5KAqMaqOJFkDoxbyYkyJ/MhmkuSIUZY2MIom2iMhmnYcxI1uEdQKiKGQuOG2IkU+SR9e6Dr7q6tVJa+TJ1PabopLPRYlpkYEfyWkuGNbq+ZOvHHPRTK4IhYwhVR6iUdS8Q2dnIujkh8b5oZoBYJGtPWFI5G28iX9OVChOFsGxjUIGkjU+2ist6CxmLliHgqx+Imt9LgIzWyRlLnixCAAm7sxtSkY9UcUFobf5bZGpzwUvoGb6UJbxuQDSfJG0uPAV6MSea2EY8B8Mnk6BR02LElGB6fhTE+C5jQKkyMqPoVL0c7Q+HUWlyIvgZBFKOKnKqOrzyEdCA9PeLYs+JRQ5/zPjjqJmGIJbtk9P/C6e2hng1VdNi4t+hwjeVPu2XM1FIXMRoteRdehkiOVyzIWMz0UTiagUZbwuhCZajGwR+m8AezJKtAbyrlkk6KR/j2zRRtsDQSQeqy66JhnmIj8+utqxMQ5i9UOABHPBEr5mHXWz1uciZEWgFNSAS+ToPEkhbpHXxYkqLkjPit8W8aMkVb6zv4f27QH1wB2KbFtEmbkQUHpRxE7uNA0+cyFSQNO2SBlHy6oQ0X8rjiVoi1hzbZFZ5qKc5kLGoVM05cGDx/gM6P3JWgC9MGaK+yh4JlpDf1pk3XL29MQGnEatU9AWkurpjscI2JzroRh4csyFw6OcZwSdxeF+KmZPiwAdZVcBj62amxbJeKDQZ4fVpgujRM1Eq6AgmqSbKo6iVmmLyISX0fcjq82iz4DIjJAFKeaCYb+d/Rup9XkRc8EWdFpIEnJI4Gn96M/otkhDIKM8/A9nkooqeFDo4l66LdK1sT8mN7eSQ6cjHqPiza9zqfJA3O/u2GTss4yjZVXwWjwAOfnw2iL5bIzsKCpQPpmS5yGSRZF4kYURI2mRF4IEFNss88R32RbYrWdP44vPXkEcJ2lxsTr5PtbEjQx4WoYi5mIUhNLZIiyDorygE4Aw1rr5tog6c8Fbj/LTIuPctAjATqT1VQWdjNC4/OsB8swFHUWtMi1CWJsCkSnDQ2Y6rq52f5NCpWBahDGKmteidG2r0AKc6XORrhGH45Db0qJfblO+yMkqLgS+ErQtUkTX0ZulSltkbzgVdLqSRUrPtTAStEV4ugCeFoD4XAiKqPTfmtBdBIKI89tfey1ed/0p5r8RWj+juci3RSwTfgmfi0AmFbWE/S5vWgRgTxV4oThbxGKMsVKRMt3EX3PtGvwoxhMXD+eYC9bEjQy4PhdFmgtJ5oJl/50vaGiLTyh6bkFbRPV54hWUDiu4LH1mzVQ8yrqHQuXgsqK2CHU9lXvNjjPNZyov6Cx+1sYMN1vLNErd3zLMBdXsZZFnnWTG+1k+JLSwGXgh9z0zDMKMtCkZtfjJPkYQCTrpuFsRXVe1LbK+4uDLLx1Or0eySCn2ueBpLvijqEUmWgCh7lclvAjqhCh19s63fTX35/rubDbGwJ9vixSdeNjXU/w5sbwYisDKFhGdOotOe6z2wSRDJtOPP3/9KXzqwQsIohg3bPZmvr+MqJNXJBcVF7KaCxKeFcx8LW825FhkQxXRzk23RcowZ34YM9+jfGsgf1LntelERoIsOEXMRboZitwrs+jaFi4PfKWwszxkRlFZzAVQbmJERnPB8pghf2OWXZPzYsnfo45FXEkPvFBYGFpmu4y0ThZzIWhDOGkPs+imp/9WZVpkqrmQX+zK+lyYAhOtroCSpsVTE8yFTBuChXw2xiA/ilpS0BnFxaOoqvbfSZJgHEZzdCv9DHltERE9y9Jc0JN8L8MQ3Hr2ND7+x8/j7GZv7l4vky/iczUX4vekCnPh5Z4dwzAKXTpb0RYpwVwwTbTsvInWbKHKM2Pzw+J7OQvbNIUblqqNN83YqOJzIdNe4uXwlJkY8RhTXfPXNF9Ik79x+rzSMVwekiRh5vQYhoGuY+FwzGcuALF5WhM4WcWFYJOgXx8FkZi5sKq3Raj9t0oAWk/K56I++2/DMBoz0iqbOps/dQ+8+VHUcoJOtlg2C1bPVQQ/ipEk8zHOojHCIuaCtQmzMmRuOXua2H5nWiIUvRIW4CLNhYi5KBqHpmBtlCz6uFsU7tegiRZQrrgVai4yn/U4nA3B47UOykyLiPJ4VG28aU5GJeYi97ezIGQuFIsLOc0Fpy2S1VwUMBf0Hme9nx3bxKEXCFknq0Qy8yJxooqLQCBmoh/aoRfKMRclF6kZEy2BtiCP4sh19gZocUy0iuy/geaMtCIJjQMLxL5aNIpqlU5FLfqcHMtErGC/S0fS8iciwyD0Pk+MJ9RcMESl2UkRilu3TwMAs7hYLXGy4xUXvMKWIq+J4YFF8bO8NYoW7yqn5TrgltDl8Czf2amombYIxyJbJicnC5HvClAcppcHzclQySOZv6biqRteKyM/ri6DMUN4nQfL6C3vXNotiF2n9wbrfek6xOBOVBy3LRn1RBUXoWAUlS5UQz8S3vSubcLmhMfIYKa4COVPUj23OHJdWXNRsLA3lS8i0saI0Hdzo6h+3qFT3cSIXE/x5yRqZ7DgMRwEKXj9ci8QZ4uwDI9GfoRe7nec3VzBZt+dZIpkQSZuykyLcDQXnPc7jEi+RF9Cz2MzPERYv7OoLcJr3ywLMptiHrxR1LzXwziYdW/lBemp6k5YQsX89am8Xsemo6jySapz1ySpuWCJMIsOaezXKmYunNwoKsu5tFuwnlKGiPV+dmwTB+NQyDqV0X0tEidL0CmgBOlCFcXim961zEoL1PqKg0MvRBwnCONE2kimMHKdM2bLOs0CxT4XQHP5IjKOmCzkR1Hn2yLqizu9niImJdvOcCVq9nFA2BnWvcTtlxecElm+EkN/XltjGAZ+7fu/EZv9+ZHeUpqLkKO5ECx2w4BqQWTaIgyxHMPJcMUVnwyPYlvE4xin5XNy5JmLMqOoBZoLhdejJlpVxLUy7U1eK6PvLoi5yBVzE+fSzPNKbbx5EI31UuZC5FFilUhmXiSOJXPxxMVDvPs/f37u66IxrGwvq4i5qDLOdmrFQZIAB+MwnTmvUXPBOj0a7NN0keYCaK4tEihE0WeR3Rj9dAGrQ9ApMy1CF2zZaYAxpydMXmt+QU+SJD1BqWkueLqGs5s9Jmuw6pabFmEtiKZhIOaYsLGEpjzw+tn531lkAd50W6SsoFPOREtWc8Fnb3nXXOTQqdYWocyFmIUTQcZEi8tclEhGLXrugPlnb2IulvnsaGgbD1O3U7bmYuCFwnVIlKjcBI5lceGYJn73yxfn+t+iMSw6Gw5AmHjasasxF33XgmUa2BsFytMiIgdCbraIZXI0F7FEcdFMW4SwMOrFRVbQSf+338kuuGJxGg+BZCoqIO+QJzoNsXqnrJNQHiyWirRF5AnKPPsjA15bRKS5GHghOjmhKQ82g7lgFTQkvEzsydAocyFhW50HX9A5m5MzDlnTIuxsEbW2iDhbRPX1pvbfak6hWZDCSvyccTUXri1kgNmvVczy5iejJvqJLHORTsrwQItfVsu941hpW6SAudDFxWJxZtVFGCcTbQNF0eJCF8hi5qL822YYBta7NvZGgdJoHNVHDDmVbxgnsBg3ZTXNRTNtERkBJQu9TOto4IcwDcwUUGUcEuN0Uy9kLhS9/UUKdF58MwBh75f1Wcsmj1LkLdRlwDu9WqbJNfUZ+pGU3gJgey2wfmfxKOrR9LngCjrTey2OiT/PbFuE7U/BYzh5sE0x2+JHatqJqeaimkNnsYkWn7kopblQFHTymAsREyyaHqRtEdH9qzqxtmgcy+Ki37Gx4ljYHXgzX48EqXLAtDUiLC4ss7THBQUdR1UaRS1wIIwFqag8h045zUUDbRGBiZYIs8wF8VDIngLySZJS15Ju8rKCTln7XSFzwdgYWCmPcz/HMPJhTYuIUEZNz/e5EDMXstdlmfPUPCssrUhz0XRxUSaVl1tcWNbktei90ZUopFXYUnrNotOw8ihqRnNRzf67OBWVxVysltBceLmWE/OazFlBpxfGMAzMrMlkWkSU05JwWXMyihoK3+sj3Rb54Ac/iPe85z34ru/6LvzWb/1W4fdHUYRv+IZvwH/+z/+57PWVxtaai4sH/szXRKlywLQdUjSKquJwxwKdGFHJFrEtE65tco20eNMilsEeJZMbRW0mdl1GQMlCNtXz0Jt3fyyzuNP2RNFnbhgGEVTKai4EVCvLDId1EsrDZtj/jhSZi1JtEZ79NyfXBiAMnIyBFsAJLmOISIt72mpjmHWjrM8Fy0Qrey/TvzlbePIMlVSNxIoSSAmDJH9/1RNcJmP/zWMu1H0uvBwrxEKeuWC1OGRGpXnvCTXREh2OeSPsTUG6GXvPPffgsccew0c+8hGMx2PceuutuP/++3Hu3Dnuz9x999344z/+41ouVBVbqx3sHM4yF2FBuiXd0AqLi4qnH+rSGUb8SpUF0RhVFMewagwuA1LmosCudhGQSSFlIZvqmR9DBchnN/AD1o9yQTc11nubh23J2++KpnVYr+OFEbEBFhRdLJfQoUQRmUVZ+29VzcXQky96WJMPLCfDrmMKRc9BFKPnOlK/cxEoLejktEXoBksnEObbIvO/S2asOgtW3P3c9Sm8Hg0u4wlVZSATuc5jLvoFU3csjANxpg+9puy9zmJmuo6Fl/a9/I9OIBIcd2yzUIxb5EmybEh9ur7v4/3vfz/e9a53AQC63S5uv/12fOADH+D+zEMPPYRLly7h2muvredKFcEsLgqmEBzLhJmjsvJwLauyKGx9xcH+KCALpMIJvSdwIOQyF4y2SJT2aAuZC6cp5qLYEZMFmuo59CMMcnHrQLnFnS6sMkyKiv1u3q45C5ZWQWYxthmf9ciXc8GkKCvoZF0bLwIeIAVgXyJXBGAbFLHYktZrLsoIOiU0F+MgnmSrUPD8KcgGJf8euIwJpCxU39OOQ8zmRgWeLSI4EtoVEXOhWjwTD5HibJFsMcd6XrtO8SgqX3NBXusoMRdSn+5nPvMZ7O7u4vz585Ov3XLLLbjvvvuY3x+GIT74wQ/iR3/0R+u5yhLYWnWxe5hvi4hHCl3bLLzh62AuTmWZC4XXEnld8LwhWBsOpebkRlGbSkVVLy5sy5z0Jg8ZuRVlBJ1TS97iz0nFfjdv15wF6wTC8zuY+f0M8y3SFlGZFlF36ORpLizDAO/tHnqh1BgqQIPLqgs6Vd0p64ZM4FYefM2FmdFczN9LvFMscTZVYy5EBZFqdDplVw7GQbVsESnNxfzr5432ZFCURgzMj6Ky7k9iolUu+4Z+vsJsEc6EUFOQ+nQffvhhmKaJjY2Nydc2NjZw8eJFXL58ee77P/ShD+Ef/aN/hJWVFamLuPnmm7G9vY3t7W3cfffdkpcuBo+5EJ2IeaZGWbi2WXlWfkZzobDYEa8L9oPBZy7mF2a6AHdd8d/RmP03xxBMBpTWJ6FlswtuGUFnGCdzwiweVOx3RZoL4tA5L+gsuu9Y4UlDyfwOitUSgk6WFTdANRfs95toLhSYizkTLXVBZ9OpqGVSeT0OKzTTFmGcrFneIAAVS8u/B3bBaViZuUjvk/2ROGZBBJkijfd89VxbGADJfq1izUW+AGYVXWRSRuTQyX8vKQsjKo6L7PaXDamjw97eHk6fPg0zc1N2Oh0AwHA4nCk6vvjFL8L3fbzpTW+SvohHHnkE6+vr0t8vg63VDh55cX/ma0UnFyc9+YrQsc3qbZGug2cvDRHE8y6DIohi17k+F+a898LIj2AaxbHxTflcFLWvRKC0/oChuSizuIvi3/NQ6Xnm7ZqzsBknEF9iHI5ZSJaYFlmGzwXRXMiPorLtv+dPhkWai6ZHUVWK2yRJhG0RLyPozLfYeBbZquxN0UauaqJFRI7VCj0ZG3/e+OiqoqCTmNfJMhezbRF1wTG7SAemzIWoMLRali0i9XRvbm7C82ZZgNFoBAAzhYXv+/jwhz+Me++9t8ZLLIet1Q4uzrVFxNa3jgQrUdX+G6CjqGGaLaIq6FTVXMwbK41TkV9RPkrHMXE4Vtto6kDIKZRk0O/YGHrRXNw6UI6WVkloVel5CqdFmKOo4swbgN0CG0o4sWax2rHhh7HSRhwyrLgBvvU8kGouZJkLSYfOtrdFVDU/dANleZtkxzFZ9xIrWyRJktTnQoW5MAtNtFQOSIZhoGtb1TQXMqOonPFR4tApz1wEUYKYkV7MuqZZE635Z6JjW4WaC544tjPRXIgFnWWCGRcFqU/33LlzGAwGGI/Hk69dvHgR29vb6PV6k6/9wR/8AX7+538enU4HhkHCvb7yla/g7/ydv4Pbbrut9osXYWvVxc5Bvi1SoLY1jcLpja9/9Rn8H193ttK1TTQXiif0vsACnCeCZIr8JCZFgObaIiRgrtzCQ9TgYepzke9Dq2eLRAqmQypz5mOBQyqrvSJjOkQd+pKM5baqidZk4kaBveCdQouYi56kiRbboXO+P73iWhiJfASaZi4UF//J+DFHc5Fti+SZC5ZXCv1vlTWHJabNv6ZqkUA3ykWaaPGYi75rYxRE0k66dP0rNNFiCTqZqb3i91I0igqI2Waep1FTkHq6b7vtNmxtbeHzn/883vzmNwMgOow77rhj5vve8IY3zI2eftu3fRu+7/u+D9/5nd9Z0yXL4cxqB7sDD0mSTE7oRaOojlXMXLxu+xRet32q0rWtr9jYT91DVQWdXOaC4z7KsoSVMdACmvO5UNWiZEFp/UMvxPbGrOanTGWvYujFSzNlYRxG2OixxyK5gk4JahaYLYhUp0WoWduhF+J0bz7YjAUeyyFa7FQ0FyTfYr4tkn8/uo54dPqotUWmrqzz19yxydQFSZdlCTrnN2B6T6lNi4g3cpJsK39/AZTiryjolJgW4TEXADlg5afJ2K+TGpQVeHnkk3v9aJ5plHPoLGiLHCETLaniwnEc3HnnnfjYxz6GN7/5zRgMBvj0pz+N3/iN38Du7i5uv/12/OIv/iJe85rX4NZbb535Wdd1ccMNN+Cmm25axPVzcdVqB+MgxsCf3kRFm5ZTwySIDE6lo6grrqX0+3quhWHA87ngpaJymAup4sJsJlukQluECjqH/vwoallBpyyNrHJyIItfl/lvvDZA0UmPtm/INZOvkc9aflrENI1UUa9AHYcxXMYEgpi5kNeCsIo2FgtRFFwmCi5cBlSZM3qv8iLX6fcw2yKMjYbeU2o+F8WCTtdSLC4qMheuXVzE85gLWjyzRtXZr0P0aUVsT94dN2BEyhPNhVi/UiToLPJpapPmQvrTfd/73gfbtvHe974X3//93497770XN954IzzPw9NPP42Dg4NFXqcy1ldsuJY50xopmvF2TKP0Da+CstMiK245n4v8KVgmVwSg2SJNpKKWyxYByCjloReRUVSmoFO1LSLvRSJzoqLwBAp0FhXtR/wsEgpakGULnKEicwGoizp5dK5lGszQPIBoLqRHUZkb5XxLcUVC0Nl0Kqoqc2GbbOM0uk4FYcJuizAKsmnqpvx74Fim0BjOD9VGWwE5ir/omoreR2J8NX/f03F12bYfzQAq0qfZOZt0jzmKKnbo9DlFOjDV3YjWIlb7sElIH2ksy8KHPvShua9fd9112NnZ4f7c008/XerCqsIwDJxZdbFz6OHGrT4ACebCKva5qAPrXWcSrKbygPUcGzs5S3MK3mmfaC5mvyZyh8yiOfvvciZaQDpqlo6i5jfVsoJOGXdOQO3hPvBCrHbZjx9rM/UkBHCT8LTMz6pOiwBqLp1JknC1DKzCloIEl8mPokaploQu8mRTY2kuyvkILAOq95+IraJf96IoNYzKMRe2ifF41o12YmWvVFwYwiThMgUbbfOouBNnIRO5ziq4KFY78uOoogygLPIGeqzMlW7B9J3o/pyOooqYC/VgvEWiuSdtCch7XRSOotbgYSGD9RXSax8Hqj4XFkactojYoTNvrFTszgk0Z6JVRdW/2rFTQSfboVO5LaIgLmWJZ3nYHwVY4xQXLDMsmaAnWpBR1iNJEmL/XYK5kC0uRCZjoveDMCqSgs70/c8unCw1/orEqF/TkeuijToPkUEVfdb9MGbGizsMijyI5sO0ikCixOsbRQUwKYRKMxe2+H2cjo+y7/ueQvIv0ToVPz95u3VW5krHIesP75moqrkQOeI2gWNdXBDmYnrSD2Oxgcyy2iKWaWAt3fjqEnTyp0XYJlryxUUD0yIc/YgMCKUfcX0uVBZ3gKSiym5IKieHg3GA9S5f0JlfgLygWNBJ7yX6s14YI0mKnVjzIK0lucV3SrXLGbhRqGouAOR62myHziBKuKfaptsiyoJOwfUahjGJcB+H86drVh5LGUFrUSvRKxFARlnTsgeIIht1Oj7Km/DoKxhpeZLMhZ1jG5n232mBwFtTxcFlxcwFa4S9SRzr4iLLXCRJkgZiidsiy5qDp+yFinK72OeCRU3Pm2jJay4aMtFSzFzJYjU9lQy8eTV4GUGnilto0dheFgfjkMtcMAWdjOmIPOhbRhc5eq/IMgQUKm0RWqwpMxeSrTlgeloLZtT4DEFnek/z2IuygXh1QVnQWSDi7aSvx9IXsKygi0bx2dcsdn0s2xbJJ4aqXZPYL8RjBLll0XPlLe5lmYu8rwhLP0GvhyfqFPpcTEy0RJoLvq9MEzgxxQV9z4WVn20oxQdXwaS4UBBD9YQ+FzyHzvkbTn4UtaG2SEUTrUE6ipo/GZcKLlPwIlGx390fB1jjMBesIkVmkZvEvqfXMAoiGAakTl5Z9Du2dHKkP2EuOJoLzklKtsDNvnY+0pol6CSvzWcumjXRUve5EBUXjm1O2yJ5h07G7yoyEWQhP2LJukZV7UTXsSoxxE6BQyf9/HnFODXak4Gs5sLKWfazii56PdziNxT5XBTrVPITK03jmBcX7kQASR80YeVnLkdzAQCnVuzJ75SFKHKdN2bHNdGSLC5EArlFociPRISea2NvFMAPY4bmotg2OA/i0Ckr6BTHU1PQDWF9RV7QKTOKCsz6moz8UMqJNQ+VaRFRW8RmtHcAwiLK5DVMXicnVA2jGHEy37N3LBOWaQiYi6Plc1GUJ0PbA144f1hg5dOUEbTSZyZrzJZ/TdU1s2tXY4iLTLS8kBTVvOvqufJtP5nAQHpN2Y2dpZcx07Y77/70o4hbPNBrEDHdWtC5RGSZC7owiTYtkoq6nJPNqZS5UJoWEYyixgmPuZh3bSQOncW/l/px8BaWRaFKtshqx8bFdPyYZf8tWihZiDjtJhaKKGSKg1TFz9NcsMYIZUy06M/SAqfMGCqg2BZJ2QBWAWMaBiLGe03ZMFZqJQv0vqbvSSCYehBZgKumENcNV9X+u+Azd1PmwmM6dM4XumEJ5iav42Fdo+qa2XGqTeW5qYEY75qowJVXVBPNhewoanGuCDA/isqboOoK2GAhc2FTnwvxKGqb2iJqzdgjhq3VDnYHhLkIBScsih94601IlsQq0Y1F1eeCR1eHcQKL8TDRhTlOAPqrxn6ElVNsA6csNnouvDDGKJBX9teBam0Ra/KZ59kZ1zKRJGqW3ioTBiIBYxYH4xCuxQ/JY1HRMtkik5/NaC5k2YEs+q49lyjMg4gN4LWJqI5H9toMw5gRuU7MpRjvnyi8zG+8LaIq6ORPPJDXI0Uoy0TLZQo61U3EJi2pjDHb7GuWEHTa1doi9DkIohiWOX9RXhgJ7bpV2n5eKMew5S37WYJjQBxeFgg0FzIiWBWH4GXgeDMXa9N8EfqgiTat9a6DUxxL5rpBmQs1h84ymot5pb2sz8X6igPTAC4N2N4ai0KVEyZthfRda858iD7sKgu8ikMnKyyKBaK3sLknK8c05oyLZNsiM5qLksxFX2FUzxectnijceMCwR0LWcpXZAa14vJbeW1oiwRRIs2cFX3mrm2RFhvD/js/GglQRlBVc5GOvHLu66LWDQtdR82ZOA/aOuAxAKzR3Cx6HQtDaRMtOebCyaeickZ0RS6douybiTeIyOdCCzqXh63VDg68EOMgKuWrv0hMiws1nws/ipkbWMg5YdN+dXaNlw0us0wDp3surgyDwu+tE2EVEy1aXDCsfemDqTKOyvMPYSFPjfJwMA4ngl7267CYC7m2SFZzQULL1Bkn0haRO9kJmQuOdfQ4iOBYhprfQsagTKTz4LVFopiMJzZZXEzuP8m+eGFxkeohxsG81XV+NJL83lh5/aPfzxN1imLCeaDTImVBP3feKb2IubhmrYvPPrErVUDLaoNsazY9ljdF03VMbjKq+FkyYZuGsEXL0tk0iXbstAvCRs+FaQA7hx7CKIFpgGml2wTWVxzYJrtXzQMtCIacxZNnogXkmAuFGO7TPacZ5qJkEbiabqas3IBsHoP8tcgHl1mMNFMWDsZ8Ay2AHVxGNhoZenZ6ghoF0SRLQQWqgk4elcuLXB9xQqVEyIaXUfdD1rOz4lgYM9g9UUGyLKgyZ4WCztTxk90WYU2LlGmLiDfyMqOoladFJqZqnOKigLn47m94Ja5e7+AHf+VPuPb0k9cKJTUXzFHU+Z/r2BY3XC+IEmGh9o+/9TW4Zr3Dv4aW2X8f6+LCMg1s9omRVpkxrEXi1IqjfIqiGwWrNcIznqKVbnaRH0tOiwDAZs/F5eHyioskScjfUjoVlfxdPYa1tFNA8bKg0qJxrPl2Bgv7I77HBcA+gRSJ+yY/mzmxlrH+BtQEnb7g5MrzuSAnbbXryvaTxWZDbOZiUlwswSSPh4lWQFLUWeTK6qbiQFZxwZocKNNuzItp565Rsl2XRdepxlyYJhm55jGQxA5dMMJrmfh33/l6PP7yIT70fz8q/F3yzMUsS8crDEWx66JCHQD+/m3ncGZVUFy0LHK9PbvtgrC12sHuoVfKQGaROLXiKJ8i7DT7hGWkxWMuaL0xkzcRRBPDoSJs9F1cFjAXL++P8V33fk45EIwH+nCU/axoMFGf0Q4wDENZsR8qiD9t00QkwVzsC9w5AcBiKP29sDhbhFzDdIEhbZFyzIX8tIhYc8FqE8l6B2SRHc/1GYmTFLye9iRXo8G2aBELkEehz4WV8bnIfR/LK6WMzwd9ZvhtEfVR1K+57hTe/rWvUPqZPETiWC8UMxcAcLrn4t53vRG/+Lmv4KNfeI77ffLMxWwbilcAiwSdfgm30/w1aEHnEkHHUdvGXFy11sHN164r/xzL62Jy2ufYfwOYof9kfS4AYKPn4JJAc/Hi3hifeXxXmEapAvqAltVcAOTkzYtTVvUaCCN5/Yes5mJf4M4JpMLQvM+FZIbDnOaiVFtEwf5bsCDymQv168oKFEXMBU9z0Ya2iG2ZMA2+EDGPYs0F2UxYPhescK8gEscf8K+bPYUwCa1TZC7e8MoNfM83vkr5OrIQGZIVMRcU565axb/7rtfjn/5fD+ILX7nEeS055iLfyhS1RYTTIhWYtbaNorZnt10QttJ8kSphWIvA+etP4Ve/7xuUf67HGLWj9xOTuchZQgPywWVAMXOxOyDTOIeSc+NFkPEjKUKvYzEFnUBqCqTAXASxWnCZzMlBlCsCcASdEtkiwOyEBhkhLtkW8SOpqYYw5lO5pqAtojoia2fcPkV9/hWXvXgHcaIc2rUIFBlAZcHKp8iC+lyw3k9WtogKCzfzWhyhIP1aE3ktrm0JBJ1ylt0A8Oavugo//G1/Dt/7X7/A1JZ5jNwWFuj7TZ8Z/rSIiTHP56KiD4s20VoytlY7uHjgFYaWHRWwvC5oxcxaOPOW0ICa9XKR5oIGw8mOdhVBxo+kCH3X5sZ5qyzuAAmEk26LSI6CEc0Fv7hgCjolTzV2Jrxo6IelpkX6HRtRnEidsH3Bgsj1uZBcsLPIOiCy4qwpeD4XQUgmJcrmWdQFFeasKE/GzWSLzJtozd9DZYPbXJudjEozPJYR9piHKzgkyDIXFH/7G26Ea5t48uIh47Xks0WAaVs3CNntoq4gr6lqsJ4WdC4ZZyZtkXJVe9tAvC5mN3J6Q/OKJzOzyCdJotgWERcXu2lxIWtKU4S62iIszQUwPe1JX4+K/bfkKFjRtAjrBOJJLnJ2ZkJj5MelmQsAUq0RUVuE63OhEFqWfS36noj8AERtkTYwlyqx615QLOgcBRHCOJm7N+oy0QL4vXz6Ppe5x6rCERRpMpqLPLJuzrOvJZ8tAkzXLzFzITJ5q8Jc8LN8msCxLy62Vl3sTtoiR//PZcWuTzZkzsJhZxb5IEoQxYn04r7Rd3FpwNdc0AeyPuaiuvCu37G5bRHWoiuCSpKm7Mmh2OeCzVxIj8RNgsvKTYt0bJLRISPqFPkc5EVuFLKnwZnXyrSKRPQxz0Sr6URUChWXTlHkOkCKi4Mx+YxYzMWciVZJ3VmWDcti5EewTaORddURPMeqzAVA9omLh4y2iGxRn3ENBfiai26B5qJKAczyNmkSzT9tC8bWWspcxPJ+BW0GK3adTijw/j5ygiT/P114pdsifQdXhMwFKS7qYy5iGBX9SO742lfgTa/aZP4boaXlrzVUaIs4kvbf+zI+FyVHUbNsQdlpEcMw0JcMdxL7XPAFncptEXPWRIt3ohf5XLThcKHCnPnhvDlWFo5lYj/NqWGNoubvodJtEU4rsez9VQdECcdlmYtdBnMxlmQuaFGQtahn3W8d0ShqKPa5KLyGlo2iHutsEQC4KqW7opacXKqCFV5W1ErIRvHSqlk2NOp0z8WlgY8kSZj9aprjIRsEVIQqBloUf+ONZ7n/Rsb3FuPQaUnafx+MQ7Ggk0FDS4+iZgqTstMigLxLZxnNhaz9/MxrZU7Pok2y61hM2rnIQ2BZUIldlzHRosxFvvBkT4vI38tZ8JxWVdqrdYNlEkYxDqKJA7IszvDaIgrtSGAqcuWJcbu2BS8YM1+jqubC0tkiy8XWageXhwHGYdSKnmtV9Fx7nrmgxQVHrGbN9OFJAJZsobWZCS9jYefQh2FA2i66CFVCy2SgsrgD1KFT3kRLpudZxFzkR1rjOCF+Aorz9mWzRQB5rwsRI8BnLuZTPIvgWOaEkfHCGA4niZMr6GzJ4UJpWiQSu7K6lomDcYCOPS9UpfdQduKHsHDq7wHvmqvcX1VR5HOh2nbbWnWxczDP0I4LrMSn1zPrhMxti3CKX6AGzYXAj6QJNP+0LRibfRcA8NK+d3zaIsHsoh/GsdDa3DKR6cOrUdI0vOwyx+ti99DDK9a70qZLRVBpQ5RBGUGnbFEq0/NMkgQH41B4snJyiwRdROVOUFmfi3LTIoC8BXgQ8j8vWlzkR1rHJey/s2LZsj4XbThcdJTaImK2yrVN7I9CJgtkW7MCQ4AaXpVhLtj6hlHJ1N06QEPgWCjTdrtqrTMZq89ClrkwDCNlLsXsWpFDZyXNBYcpbArHvrhwbROnVhxc2Bu14uRSFf2OjcPx/LSIONDGnJhoyYaWUVimgVMrDtPrIo4TXBr4OLvZw6DGtsgii0DVUVSerToLllks6Bz6EaI4kbD/nr4OHQmVNdGKItoCKzctAshbgIuo3EloXm69Y5k+FcHOuJaKJlRWXAsjxuLdFs2FkqBTwkRrfxwwN9JsLDlFWSNBh3NfD0v6qNQB6k7KgmzIXxZn+p3JWH0WspoLYPrcxjExNWSaaAkj1yv6XOhR1OVja9XFhWPCXLB8J4paCVnXxnGJPjyZGJl/8PbHAcI4wQ2bPaYleRmoRJyXAU+cxr8e+dOEw1HVZ0F75DwHUWB+yoIuonLZIjnmouTJUtalU6S5YIXmAaToURUCOpm/S9Qi4gs62zEtpiTolJwWYTMXsxoAIC3cS5yMeZMZ46YFnQLNhWrxurXmYueAzVzIvhZlDmjxyI9cZ8c3RJyCRBay8QPLQvNP2xKwtdo5NszFZt+deEtQ8HJFKLImWmXEdDwjrZ1DH13HxFVrnfraIlG80AwYGvYkCxURXNZjgoeDcYC+awnvxfwYoRdGMAz+NFAWVqYwGVbWXBQXjMKYaEZoHpCOCiouolnvD9GmKwoua0NbRDRCmUfRhJBjmTj0QmaLid4rWYExcVOtz/6bFK/NzAS4Nl875TEi6IuwtdrBgRfObPxJkhDNheS9aqcFDy0uWPdb12a3Rab29NWYC5ngxGXh6O+2Etha7eDFvXGrgsvKYnN1nkWIClJEsyZaqm0RgEyMsNoiO4cezvQ76HfmRaZlUSURVQYqiztA31t5WrRoWoSIOcVKdieXEUCV5zLuknQcjTpslj1ZEgvw4oLx8sDH+gp7g7EYfX+g3MkyG8QlcugkbZH2jqIq238XaC6AeY8L+nsA5BgwcfuUB4cRpAcAowptt6oQCzrVNT0bPRemMZ1+A5Daec+P+fKviTx7vqCN2XWsibNpFnVk3ziM8eMm0fzTtgRsrbp4aX98LBw6z/TdmQcASDdAwcaTNdEalWiLbPbZ4WW7hz621jrou1aNzEX1UVQRVAWdgQKTwhO+ZbE/Drmb8eR1couESg+Zisom7oklT5aygs4ndgY4d9Uq89/o6TlP1ZbJFnFME0EsJ+hk0c5tMdFTE3TKFRes+HrLNGAamPldZcXSjmXAZwo6y7fdqsIROJ2OSzAXlmlgsz/bGqFTHdLMRcquTYoLbioqi7lIzQOrjKIyJoSaRPNP2xKwtdppzShaVZxZ7eDy0J852cpoLmiRXyaRkhdetjvwsNV30auVuZBPIS0DZUGnokNnUVtkf1TMXOTpTbLJSPZ9LVJIUt+RSsxFQXGRJAmefPmQW1zkLZEpVERyFFnmoqi4GDJC1/zWtEUMaUFnoc9F+vfwCrX89FJYIh598jptNNGqkbkA5i3AJ55AspqL9B6lLTgW09ixzQLmopqJFjDfhmwKR3+3lcDWWgcAjkVb5EzfRZJgxjUzKnAfnWEugghdxQWBly+yc+jjzKqLvit3ypWBymZeBiLzHRaK9CxZ2GZxz/OgIG4dIAtMkkwXCWXmIk4w9sk9UVYgJsNGXTzwcOiHeNVWn30tBp0WmV3sRr764u9kNsogSrjvx0bfQRQn2M9NVIXHuS3C+R4n16bzo3LMhcsZsS7TYq0LHUG2SBnmAqAundN1zgvIiL/s80/vUVGaLY+58ENyqKpysOIV802h+adtCdhaJcXFcWAuuo6FnmvN6C7CSKxTyE6LqMStU/AEnbuHHs6sdtDrWPU5dCps5mWgLOhUSUWV6HnuF8Stk9chvy+bU6BCzYZxgmEQVlr4Zdoij188xPWnV7i/xzQNGMb8YueF5SLXJ++HoFBY7dhwbXPOyvkoTot4BUm4rkXeQ957mQ/3Kp0tYrITSEd+hF5jbRF+KqoXRsomWgBwZtXFxcx9Q0emZZN0qUOmJygKic/FYgTHNkNn0ySaf9qWgDOrxEirDbRoHdjsuzMz2UU+F1mnxDKWvbzwst1DH2f6hLmoz6FzsSZapdoiCg6dxdMixcxFfpHwIznrb2CajFhlUgSQs/9+4iJfb5G9nnnNhXpbxMq4n/oCnwvDMLDF0CW1py0id/8lSSIxLUL+Ht735IvdME5Ksbe2xY5cb5K5EI+iqhevAKstouaXQZ89Uduu61gI42SuzVRH8TvJN2mJqPNEFBdXUeZigULBZeJMzndCyuciveHGJRaEjR47vGx34GFrtZOGqakxFy/tj/HUzmDu61HcLkFnGMs7dMp4+x+MA2EiKpCxEk5fy1NY5KxUc1FGuJuFjP33kxcP8eqr2C2RyfUwDJjKTIuQULiM5oJj/w0QXVKeuThqgk4q8JObFuEwFzlTJVFRJoLLsbVvo+YiSZKUuSjXFske2lTN3mbaIjzmImVUxmG+uKiWKwJM2yJtGUdt/mlbAqZtkeZPLnXgzGoHlzJWtcU+FyaiZJo3obqwUxOtvEhu99DH1monHVtUYy5++Y+ewY9/8qG5rwfRorNFVJkLeYGpw+lNZ7E/kmAu8iFIBfT47M+SFhhZ+Mt7EMi0ReSYi3nvjzInS9ngMoAwlXm3xbLulHWDjFAWnyxpYdcXfIaiUdTJ7wpnmYsya6DNGftsNLiMY/8dRAlihfHRLM6sujNFqYqBFjB1yBQ9r1QLkm+NVM0VATA5lLVlHLX5p20JWHEt9F2rFSeXOrCZo33lpkXKt0V44WUXDz2cWXXR61jww1hp09499OdszAHaF16g5kLR54IwF/LTIkU+FwcKmgt66pTNNwCmIXVDP6yhLVJQXAgmRabXM5t3QI2JygWX0baI2MnwTL8zZzTXnlRUueJ2bxTANg3hZ0gLLP60yCxzUVbUyk1FbTS4jD11Qycxygg6r8q3RRQZEOozISp+Scgco7gQhPHJYqpx0szFUrG11jkW9t/AfFtEZlpkxkRL8cFbX3Fg5MLLvDDCwTicTIsAUBpH3R14zJNx2wSdYcF7m4VMcNC+hObCTD0K6IJeJOzLwkkDvqou/P2OhYEfTTJp8hj5EZ6/MsK5q8Vtkaw7LEBOaCrGRNnXoZtykSHW1qo7F0LVllF02bbc3ijAqRVHKCYsbIuY+QC8cq0hnmU+0Vw049BJfC7mr4lOYpQfRZ2dFmF5iPBAnUxFbRHDMNJx1Pm2SB2H3zYZaTX/tC0JZ/puKxaXOpC3AC9iLsyZMCv1PqllGjidCy+jxc1mz50wISpGWjuHPru4WDB9Xc7nor5pERnmAphaCQNq0yITzUVFyppmnww5IUtP7hxirWtP9Ew8mLniYrL4lwouKxZ0ApTenmcu2sBcOpKj0HujAKd64vtkYqLFG0W1Dca0SIm2iMlPRW2yLcJjLgyjnHh/a41MxVH2UZW5oCxdkT9Jx543eqtDcwHMZgs1jeaftiVha7VzLHwugFSwNqe5EGRVmAbo2lA2JjkfXrZ76GOj58C2TJgpfasi6tw9bI65UHPolJ8WkUkl3B8VO3QCUxtvgCyY5TQX1QSdAL9gpHqLojG9PJvjUWMiRcFdVpxYNLZHEi7zzEU72iIdW74tcqpQ+FvQFmFOi5Sw/7bZ9/Wo4VRU1vs4DmJ0bfnx0Sw2Uw+hS6l4XVUbRG3SiyY/WLHrfliP4FgmmXlZaIbTagA/+7feAPO4FBf5aZECEaSVM9Eqc9rIG2ntpB4XFD3FcdTdgY+BFyJJkpmFYNGpqLInx+n1qPlcxAmJoufdawcS2SLArJW4yJQnD6q5qNoWcSwTrk2Csa5h/LvMpAi5nlnmYhREsE1D+TPOnp5lBJ35/J22tEUcS64td0WiuCg3LVLC/ttkb+RDn53Iugy4HPvvcRCV0lsAhFFY79rYOfBx9VoXnmLAnp22JK0C87OuY02KbIq6gvUcS7dFlo7jUlgApMKe1VyIqfs5zUWJTWcjF15GPS4oSI9ejrkIohhXhgGCKJlbaFUcMctANXI9UmQuAP4oWBjFGPiRVFskuzF4obzjIF3ghn5UObFSJOqUmRSh15Pd4Mp6EGRZIV8QuQ6kTotzxUVb2iJy99++THExYS5E0yL5bJFygs58WySOE4xbGFzmhXEpvQXF1tqU9Rormr1R0bFfwDR2bWuSW0JR1/2ZF1A3ieafNg1l0OKCiu3kNBepz0XJPmk+vGx34E1s1QEyMjeUZC6yDEi+NRJE8gLKMlikQyelnHlGWvRvLRJ0ArmI8TCeuDEW/txEc1FtWgQgBSNvHFVmUgSYZy7KGGgBlHEqDi4DCHOR7Z1Pf6b5A4aqoFP4WrS44GymrGyRUswFI1uEbo7NBZexGUivAnMBAFv9actZxV8GmGYCBQXFL6stEiiItkXIW743CV1cHEGcWXURJ4Q6BdSnRUppLhjMxVZJ5mL30Mdax4ZjGXMn42jhbRF1Qadsn5pasPNGXQ/GIayC8UKK7FirF8ovmHVpLgBwnVfjOMGTO4e4qWBShFzP7AY3DspZMxP9QDZynf9+0N55drqpLfbfjuQo9N4wwOmC4sI0DdimIZgWmc8WKfMeOAzmgk6GNWaixdGuVGcuXOwcpJoLxZFpqnHxC9p2HUZyr18yVG7uGiS8dpaF5p82DWX0XBsrjjUx0ir2uTAn4VGl2yL9Wc3FxQqaCxrVvtqxcTDOMxeLbYvw6FQWkiQh76205mLWWTOPvVGAta4tJTbLGnI1obkA+G2RF/ZGCKIEN2xKai4yGxOhmsttcNPgshiuwBOgY1tY69ozoue2tEVcW35apMjJFSD3ibAtElVnLmyG5mLkk6mMMk6YdYDnV1NFcwHMWoB7gVqhYqfFXNG0CCu8LCjpnsq+Bl1caFRAdhxVZlokjJNJn7RUWyQn6NxNE1Ep+grhZbsDj2SSMDavhZto2WwhGAuUzpedMqKLA68tIpMrQjET1FUgEMv/XBgntbgn8lw6n7w4wCs3e1LXZJnGxB0WKDcKDcwLOosW4nzCZRi3pC1iWbW1RQDg7V/7Cly1xh4Hzpu6Ec+WMtMijOIiIKFlZaYy6gCvvVSZuch4XYwVGEOAtkWSwhZH154PLyOW9tW347Wujf3xfA5UE9DFxRFFVhEv69BJtQZlNp3TPWcmvIwUCOWYCxrVvsrYvBY+iqrQFqEnZdk2Db3sgFNcyCSiUmR9HVQi1+mGUkdb5NxVq3jgK5fnvv7ExUO8WkJvAXA0F2XaIpmNUiYj40zfnRlHDWoa9asKnrNkHjLTIgDwob9+C155hs0gZdmvJElIa6jEBuYwRIKjivbyVcFjIKsyF8Q6vhxzQbUpRfdn1+EJOquve1uMXJ2m0PzTplEKm30XO4Msc1EcXEbtu8tsOpt9dya8jOSKZJgLBZ8LGtXOLi4Wa6Kl4nNBF1TZbBHDMAh9z9k8VJiL7LSIWuS6kdp/R+hVXPz/jzedxf1fenEutO6Ji4c4JzGGSq9n1uei5LRIRrtRJJgD5o3m6shuqAOupM+FzLRIEbKx5KEiCzf7OvMtCFK8Nvd+cgWdobxVPgvZtogyc5He60VMY79jzbWD69JckNj4+ZDJJtD806ZRCmf6HVzKtEVEG6BtGoiTaXFRpk+aDS9LkiRti2SYi46tJOjc6rtY7c4XF4seRZU9OQJT7YTKiSIvYMxC1p0ToAmrWeZCPlskjBOMKmaLAMBXX7OG111/Ch994PmZrz/xstwYKrmeqccKoC6So7Azm0mRYA6YN5prS1skPx7Kw94owOmeW/h9ImSj0ikLVn4UdT7Ztldx1LkKXK79d7n7i2JWc6EmfqdsY1Fb5KuuXsOjFw5mvlaXJigfG98kdHFxREHaIrKCTnIKpna9ZfqkG5nwsgMvhB/FM8zFakd+FHV34E+ZC6agsx3TInRzV7kekaCKJKLKFRfZiHFVzQVlLupQ8n/nX7gBv/SHX5lJxH3i4mFhpsjkenKhVyM/UsproHAs8nfR/yvWXMwyF21pi/DSPLMIoxiHXliducjci9R7pa5R1KEfodvQpAjAn7qpzlyQ+4ZEt6uNolK2kQiw+e/z+etP4cHn92a+Vpeg84xui2hURTYZNYrFseB0wykrpgOQhiiR8b7dQx+ubU7yJwCg5yqMog48bPbZmosiQ7Cq6NjERVNmFpxqBVSYFNYpj4K4c0oKOjObshcpZItkBJ11GBx92+tegZ1DH3/01CUA5G94+cDDq7dkmQsT+WyRUpqLVNAZSLJJRHORKS7a0haRYC7204K7elskI4IN48nXqrwOxdAP0WvI4wIgIlMSgjd7XXUwF2GcYG8UpK+lMi1C3qeioMGvuW4dFw89vHwwnnyNCDrr0FzM3vdNovmnTaMUsi6dRSJIM6O5KDtBkA0v2z30sNV3ZxgQnicCC7sCQeeiTbTo4irjNRBEMUxDzd3VtkzutMj+WG68kL4Oba94gUK2SKr5qCtUqutY+PbXb+OX/ugZAGRS5EzfxUZfjrLPay6qtEXCOJ4WFwXvR74tErSlLcLZFLO4MvThCkZMZZENvwtLFMrT12G3RZryuACmBmL553gcVGMu+h0y5r9z6CmzIPTZCwpGUVc7Nl51po+HXtiffK0uzUU+Nr5J6OLiiOJMdhQ1SmAVBZel3gdVFqyNHilo8rkiANBTMtHysLXaIZqLcX4UdbEmWnSTlul7l8k5ydtdZ3EwDrEuK+jMGCD5Cu59tmliFEQI46S2xf87/8JZ/MaDF3Bp4KdiTjnWAiBFaZwbRS0j6HQm/WzyWsWai/m2SDuyRVIvFIHREfW4qDrmmQ97A+TFyVm4DGOmutpuZTEtLmafNa9k8ZrF1ho5/atOntgmGUX1JcZKv+a6dTyUaY3UxaydyY1gN4nmnzaNUjiTyU8IC1oJlmkiSgWdVRYEaqS1k/O4AOTtv0d+hIEf4UzaFskXJIseRaUPsIyoM4pjZXU9K4eBQm0UNSPoVDiNWaYxUaJXnRahuOnqNdx69jQ++oXn0jFUOb0FAFjGrOaCZIuUYC5S349pW0TG52LWRKuOk2FVdFIbd1FxS8Sc1VoiQN4bhJyMyxQstmXMiSfr8FGpAtpCyBcXJK25mhCWpuqqembYmVHUonvt/PWnZpiL+gSdLg69cM5Howk0/7RplMKZdKOPU4FbkeYipJqLCgsCtQAnoWU55kJSc7E78GAawOmey3ToVEkhLQN6cpQRdQYFabPM1zf5bRElE62M0l+NuTCm1sw1Lv7f9RduwC//0TN4XDJThMKyZn0uvJI+F9SzwQ+JvqjocznTdzHwI4zS9yJYsDmbLHibYhayBloyv2vSFqnw99umORfGV4cDbBXwDgnPXxnh+o2VSq+9tdrBzoGnzFxQ0bFMTsj5607hwRfyzEX1+3Oj58I0gIsHzbdGdHFxRLHZdxHFCfbHQeFpn1owk7ZIleKChJftDryZSRGA9CrppibC7qGPzb4LyzSYDpCLHkU1DENKVAdQu2S1R8QyRYJOlWmRLHMhH/1MN92ObZaiwHn4S+evxeWhj99+9KL0pAjA1lyUcui0pkZwMovw6XSRpbqLtmSLuBLMWR0eF0A6cZRhLso+Vy4jxrsqC1oV9G/Js4TPXxnh+tPViourJm0RVftvwhTJMBevvW4dz14aYS/Nv/HDYu8WGZimgc3+fCpwE2j+adMohZ5roWOb2B34hdMi2QmCKqdZaqRFDLRmmQuWlTcLlwZT1mO1O/8zRNC52NuSZ8CTh0oiKoXNWIgp9kcB1lcUmAuaiqrAXNANtO5TZce28M43bMMPY2XNRZSLXC8zikrviZEfSRUJlmnMGGm1pS1imQYMo7gtUkdxkRViVkndtNNcl6wIdViTYLgs6CEh264Z+iEuDXxsV2QuzqTJqCqBgcBUdOxJjI5v9F1cf3oFD71I2Is6p5m2Vl3saOZCoywMw5iIOmWYi7gmzcVU0JnXXFjwwrhwxDP7s2sMn4tFj6IC8rHrRZktLGQDtrJIkkSNuUgXqiSROwlR0CJzEQv/3/r6V+J7/rcbsb3Rk/6ZOeYiiNAtY0Gd3hNDP5RmcegmQQPo2tAWIS6uYq+LK8OamIuZaZHyRbttzbMEdY06V0H+kPDClRG6jolNyUkmHrZWXVw88FJ9kFpwGR2XlinkXnvdOh56nugu6i0uZielmoIuLo4wzqx2cGngpZqL4uCyccXTxkbPweWhPzHByqKXel4MClojuwN/8vCz2iKLNtEC5I20yvTpqWFZHl4Yw49i6WkR6tAZxgniBEqR68BiorBfeaaP9/+V1yq1W+Z9Lsq15uikxzCQYy4AmhPhTzbFNrRFAKBT0JarTXMxkyRbvrhiTWbUNepcBflDwnOXSUuk6pTN1loHL1whHhQqJloTQadkoXD++qnuoi7NBdAer4t2PG0apUCNtKQ0FzFx16ymuXBxaRCQbJDc6YAuNEX5InQMFcDE5yJLtxaJU+tA0cmRIizRp872ubOgSYWyzIVtTpXnwHTKoAj0vatrUqQq6Bg0xah0tgj5u2TbIsB0LI9uim1oiwDslNEsamuLZKLSq7SFaGGXd1ptMrgMmD8kEDGnPKvGw9ZqB89fGQGA0r1KA95kHXVfe936ZGKkLp8LgFy/FnRqVMKZvotLh37qcyEXXFblRLvZJ3Th5WEwp7mwTAMrjlVopEUmTUhhstqxESeYZJ4A9VbwPHQkw8vKtEVsTltkfxSi65gK2gnyOvRkJstc0I23SbFdFvlUVK+kgyL9uwZeKH1/nOkTi/xprkbzbREgdelcyrTItIgOKzAXkwmrDCM3bHgUFZg/JFDmoiq2Vl3sjchhQKWFN80WkSsUzl9/Ck9cPMTQD2uz/wZmbQqahC4ujjBmmAuhzwU10YorLQine9M4YlZfs98pTkbdybRU+mkrJdsaKWNcpYqFt0UYr02sv+U3DDqKSosgVc1F0/1wCouluShxD9LaeaTQFqE5EXQjb0tbxLGN5bRFMvdiFaG0Y7LaItWD8aoinzD7/OVRZTEngMnByTINpbWICjplmYur1zo40+/gkRf3U/vvEyzo/OAHP4j3vOc9+K7v+i781m/9Fvf7fvqnfxpnz57FVVddhX/wD/4BhsNh5QvVmAetUIuzRYiJVlWfC1pQrHdt5sPTk7AA380IOl3bRMc2Z0Sdix5FBcjiLiPoLFPoOJaJgMFcqHhcANPQKT8dvZS1ILcXKOgsg3xbZKxoTERB4+yHvvxY7pnVDnYG/kQD0wb7b6C4uN0fBThVh4lW5mQfxknpzcs0DZhGri1SscVaB/IJx89fqae4OLXiwDYNZeExbYnKCrANw5i0RmrVXKy1wwJcerW755578Nhjj+EjH/kIxuMxbr31Vtx///04d+7czPfdd999+M3f/E38y3/5L/HFL34R/+pf/StEUYT/8B/+Q+0Xf9JBaV/TMCQ0F6QtUiXJkIaXba11mP/ec4uZCzLGOpummmUuFp0tAqRxzRLMRRm3UNs0EDFeW8WdE5huDF4YKfViLWtxgs4yyAtcqwRL2aapprnou9g99Ij1t2lUFvrVhSKflSs1CjqzmgtVt9nZ1zLnBJ1NMxdObhT1+ZraIoZh4MyqK6XLysIyDQRxrDQ6fv76dTz4/J50K0UGW0fJ58L3fbz//e/Hu971LgBAt9vF7bffjg984ANz3/vkk0/iE5/4BL7jO74D/+Jf/Av80A/9EH71V3+13qvWAIDJHL/UtEhqolXlRGuZBk6tONjqs4sLYufNZy6SJJnxuQCI10W2uFjGKKpsWyQsUejwNBeqzIXKzPzMz7WsLZJlLpKUPSt74rUtQ6ktQgWdsur9ZSFP52cRRDGGfoTTNY2i1jEtQl8ryAk6m77HstfkhzFeOhhXduek2FrtqDMXloGRr9aCO3/dKTz4/H5qDldTcbFG3Jtlkp8XCam/5jOf+Qx2d3dx/vz5ydduueUW3HfffXPf+33f930wMxvdbbfdhk6HvRlpVMPmKvGdKGolZJmLqnT5Zs+d87ig6BUYaR14IfwoxmaeuRhnmYvFj6K6koLOMg6d2TyHLPZH8omowJRiVU5mNKmJVjumRaycS2ScqCnws3Askwg6pX0uXOwOvKWIhFXgWCZ8zqmYCglV7hUeaB4LQArlKptX1pArSRIMW9AWcW0TfkQOMxf2xrAMA1evdWt57a3VjrLZm22ZE+ZWnrk4hcdePsDQD+sTdPY7SBLg0rBZ9kLqr3n44YdhmiY2NjYmX9vY2MDFixdx+fLlme913dmN58KFC/j2b//2Gi5VI48zqalVWDC+aZnGVHPhVruBN/r84qLvWsLiYveQREmvdaYbXz8XXlakH6kDKm0R1WshNtUsQad8Iip9nSCSF4dNfq5tmotMtsg4JBtB+baIgZEfwZWdFkmp7UsDv13MhaAtsjcK0LHNWjbu7MhrVZOmLNvnhTGSpHl2jDh0knvructDvOJ0t7a1Y2u1o+RxAczm+sj+7PbGClYcC0M/gmvXc+2ubWK9a2Pn4AgUF3t7ezh9+vQMI0HZiCKx5ic+8Qn8s3/2z4Tfc/PNN2N7exvb29u4++67ZS5JA4T2DeMElwe+kLmws5qLiovWRs+dCy2j6LnifBEq5sz2vvMunWXYAlU4lpxDZxirn3ipS18e+6WmRYjmQmWRM1N76aYXfgrTIIUtgElSYxXmgizCcu/HaocIj1/cG7equBD5XNQ1KQLUly1CXmva7qNhcE3rerKCzudqyBTJYmvVVWYusveY7P1GRJ2nlH5GBm0QdUodpTY3N+F5sxc6GhGTkSybkcfHP/5xfPd3fzeuvfZa4es/8sgjWF9fl7kUjQz6rgXXNvHygSecJqCiOi+oNooKAP/xb7+Bfz0dcTIqM6q9Y+MgN4q6cObCljPRKtOiyaaZZnEwDnE1RwjLgmOWYy4AUuA0vfBTZO2/xz5hpcouorZlYBhE2JCcpDAMA1t9Fy/tjydppG2AiDmrs7jItjJIoVyBucgURNSXpszUT53IsilEzFndQIuijOaCalpkUnuzOH/9Ov7gyd16i4t+8xbgUn/NuXPnMBgMMB6PJ1+7ePEitre30euxP9DHH38cTz/9tG6JLBA0X+TQC+VSUWtIMjQMvuq+59oYCkZRdwfeHOuRDy8rwxaoQlbQOfRC9DqKpxeTJ+hUYy6o8ZmK8pzCNs3WtEXovQeQtkiZXBEK0hZR602fWe3gxb3RxKuhDXAFPhd7wwCnaxhDBWYFjyQVtvxzlWXkhj6Z+JEdj14UsgVPXWOoFH/l1uvw43/1tUo/Q9dg1amP89cvgrlwj0Zb5LbbbsPW1hY+//nPT7728MMP44477mB+/0svvYT/9t/+G+68887J1waDQcVL1WCBek/IpKJW9bkoQt8VMxe7DOYi2xZJkiRVtbdD0HllFOD0iloIksWz/x6F0omoAFX6E7apTO+3LYLO7PRMlUkRgAo65adFAKK7uNC2tojAobPWtog1HQMmhnDVNBd0+oBMijR/f7mZ4un5y6PaJkUA4Jr1Lv7ctWpsOn1/VYu4115Hfk+d9vRbq823RaT+GsdxcOedd+JjH/sYAFIofPrTn8Zdd92F3d1dvPGNb8Sjjz4KgDAa73nPe3DrrbfiU5/6FH79138dd999N/7H//gfi/srTjBocSGi722TaAyCKFlscVEwLXJpwI5qP0zZDnrgX7zPhVzk+pUSp0jHYjt07o8DrHVUNBfkpEiYC7XPzLKM1mguspHrqimTedBRVFlBJ0CU8xf2x62x/gaKBZ11TIoAU6+UJElSLVM9o6h1TJ3VAceamuE9f2WE7Ro1F6WuhzIXis/rq7dW8fBP3F6LcRrFmX6n8fAy6fLzfe97H+666y68973vxd7eHu69917ceOONeOGFF/D000/j4OAAg8EAt912Gx5++GF88pOfnPysZVl48cUXF/IHnHRkrWp5sExjsulXMdEqArH/5rdFdg49vC6lACmIiRYZv6Mb/sIdOiUFnVeGPm49e6rw+7KwLQOhx/a5UNk07DRN1AvUBJ3kZ1uquQgi6YwU9muZGPqeUptoa9XF7355rBQTv2gsTdCZFhNRnFSeFsnqN4Z+2Ir7i/qFRHGCF/fqZS7KgDIXqs+ruQCmcWvNxQPPXC7+xgVC+i+yLAsf+tCH5r5+3XXXYWdnZ/LfDz30UD1XpiGFCXMhOJVkqelFnjiI/be4LZLPJMmaaNGRxWX4XIxSPwERrowCnOrV1BYZB2r233QUtYTm4me+6w34c69YU/qZRSEbuT4OokoiQGr/rdoW2Tn08eqt1dK/t25k6fw89kZBbdqBaSZIUtk/xjGnQuVx0LyBFjB16Hz5YIwwTvCKU00XF0Z6Xc2zZFurR0TQqdFeyGguzFSAaVdQ6sugiLnYHXhzbZHVTFtkWemVsoLOK0Nf2SnRSS2As4jjBIeeqkOnOYlvVj0JvelVm0pW44uEZSLjcxFXOvGq2n8DmAiIW9UWEWh+9kZBLe6cwPRvDuK4slDasY2JpwQRdDZfXNCpm+cvj3D1Wke5CK8btJhr+joAGl52BASdGu3FmYnmQuxzASzeWKnn2sqCTuLQSVgEejJaxiiqlKBzGGBDlbmwZoO6AODQD5Ekaq6LNNHSK1FctAlzzEWVtkjKwKks3vR+a5eg0+ALOof1hJaR30P+ZhIDXrEtYpqTonnUIubCj5J0UqT5thct5tpRXBDmIknU8lHqRPPvgkYlnJHUXACL1VsAQF8wihrFCS4Np3Hrk5/JBJfR1s2iNwIRLU2RJAmZFlEVdDLaIgfjEIYBrCr0VakYTzZhsa3Iai68im0RWiSrnMApU9am4sK1rJnArSzq1VxMo9LryBah93XVjKK6QBnI52oKLKuK6f3Z/L12ZrWDIEqwPxIHSS4Szb8LGpUgNS1iLYm5EJhoXR76SJIp00Kx1p3GtNNNaNHj86KTI8WhFyKKE+VTpG0ZcyZa+6MAqx1byRcgG1ym6hTYJtBcG6B6TPd01K8Mc9GetohjC5iLGosLK3VrDaK4crZINmF15Ff3y6kDjk2u6fkrzYs5AeIBZJlGKw4DfddC1zFxscFx1ObfBY1KOCPjc2Esp7hY7dgYBzFzFPPSwMdqx57bXGjkehwn6QK4+Ghs17YK2yJXhgEs05jJQZEBTaDN4vLAL82AeMeIuRgHcaVpEacE7UyL7zacJimW5dAJTO+jyiZaGbZv2JJRVDrSW1fUeh2wTaMVbRHDMBr3umj+XdCoBJowWuTQCSy+LUL7sMNgvjWyk+aK5NFPN+9hEC0lERWYPYXxcGVIhHWqhY5tmQhymotnLw9xVrEnTEf/VLNF2oZZn4uKzIWpzlx0bAtrXbtdxQVH8+OFEUZBhFOKxm0i0Hs9iOJq0yIZ/5Y2xK0D01HU5y4PW8FcAOTebMth4MxqB7sNel20413QKI21jo2f+Kuv5SaVAtNFeaXCqVEGdFabpbvYPfTnWiIAYS4A4HAcFkbH1wUZQeeVkV9KWGeb86moz14aqRcX6Ym/TLZIm2Cb5gxzUUlzQZkLxcV7a7XTrrYIJ3Kdxq3XyVxQxiGMK5pomWauLdK8Qyf1q2mDgRaFbbWDuQCAq1ZdzVxolIdhGPjb33CjMLfCWpLmwjINdB2TqbvYPfSwyUhTtUwDK46FQy9ILYqXUFxIjKJeHpYbCaTOmlk8c2mIG86oMheEzj7qxYVpklFcIM0WqdIWKcFcAKR12CrmIvVnyGN/FGDFsWr9vKkFeC0mWnG72iKOZeLlfQ/jIG4Nc2GbZmue163VDnZ1caGxSExGUZdAZfImRnYHPrY47Aox0ooQxQmspbRF2CfHLPaGvvIYKpCe1HOFy7OXh8rGSHbql0FGUZtfyMtilrmoKugsZ1J0ZrVdxYVjs7NF6tZbANOJijqyRWhB1Ja2iGMZeHp3gM2+24qsE2DxXkIqOLPq4qJui2gsEtREaxnGN7yJEVbcOgUNL1tGIipA2yJ8sy+AaC7KtEUchs/Fs5eGuGFTjblwLBNJQjbktpyEyiA7LeIFcaUTL120Vd+PN73qTGscSwF+ts0iigvKpFXPFpkKc0dB2Armwk3bIm0RcwLtaos0LehsR7mnsVAsy0QLSJkLTlvkq65mWzBTrwvHchZuoAXMhjDxQNoi6syFZc6+9tAPsXPo46xicUFP6UP/aAs689kilUy0SkZav/ubXlX6dy4CPM3P3qg+Ay2KybRIXNH+2zIx9IkmpDWjqOl90Kbiok2CTt0W0Vg4zHTefSnFRcbOO4tLAz5zQcdRiehs8bekaxtSgs6NMoLOnM/Fs5dG6LkWU8wqAtUXDPywNSehMsgyF+MwquTZMfG5OMLvB8CPXN8bLrAtElZjBe2MTmnYFhOt9D5oi94CaM8oKjDN1WkK7XgXNBaOZSVl9lwLQ0Z42S4jbp1itUsswMM4WQpz4VpWoaBzr0TcOkADnqbMxbOXyBiq+kgr+f6BFx5t5iI3wlilNedMNBdH9/0A+Nk2VxbWFqHZIlXEtFP/lrYEl7ktZC7sFjEXV2mfC41lwDSMpWgu+q6NASO8jOdzARDmYuBHCKN4KaOoIodEistDXzkRFSAn9ayJ1rOXh8otESDTFvGOtubCzjIXQYxuhb9l6nPRnrHSMhC2RWovLkixG1a1/7an/i1DP1q4Z44MXJv8PXWlyNYBp0WaizOrHQz9iNmmXgba8S5oLBx2OvK5aPQ688zF5YGPg3HIjURe7dg4GIepi+AS2iKWjM9FUKotkjUbAsgY6tlN9cUv2xY5ysyFaRiIkuwoavVpkaP8fgD8bJtFFBdUPOpXDi4zptMiLWEuJpqLFhUXVoumRU6vEA1bU0Za7XgXNBYOa0ltERZz8eALe7hhs8ddOIlOI0hHUZcl6JRoi5QQdNKTIkUZAy2A6GRMA4gTHPlR1Oy0SDWHzuPRFnFtvs9F7cxFKjCuPi1iTrREIz9Cz2l+FoDeB9unm09EpXBa5HNhmgbO9N3G8kXa8S5oLBy2ZS6PucjRcA8+v4/z169zf4aGly1zFDVOwMxAAconogKz0xFAuTHUyWuVHL1sEyyrxmmREsFlbcSKY2EURBjnbPL3St5zIlDNSxhXtf8m3jB+GCOME3Td5j+D606v4J//tfNYX2m+0KFo0ygq0KwFeHveBY2FgrhnLoe5OMy1RR58YQ+vve4U92doWySMliXopFHU7HHUgzQRtVRxkfEwSJKktOYCmJ7Uj3IbwDYNJAlx6axqonVcBJ3bGyu44UwPn374pZmv740CrNfeFiEsnR9Wd+gMoxijtCBqg2nVqRUHf+vrX7nwoEMV3Pm2r8ZtX31V05cxwVaDFuBH+ynVkIZlLHNaZPZE9tDzezh/Pb+46HdsDLywsqJdFnSEjRt7nSairiomogKzbYDdgY+hH5XSXJDXUk8BbRtosRjGCcZhxWyR9OTdFjV+WRiGgW9//Tb+xxeem/n6lQWMok5MtCpmi7ipHf0obXm2YRS1jfi6GzdLHyYWgasa9Lo42k+phjT+5tedLU3Pq4BMfkyZi/1xgKd3hzh/Hb8tkvW5WCZzwRN1Xh76pRJRgdnI9WcvDbG1Wt6aeOJIeYQ3U1ogjUNi716FTp8Elx3hYoviHa+/Hp99Ygcv7Y8nX1vctEicTotUe+/9lLlwbXMpz6lGdTTpdXH0n1INKdz5tq/Gq7b6C/89vY6NYUbQ+dDz+7juVBdnOB4XANFcHHqkLbKsyHUAXFHnlZIeFwANeCKvSyZFyhd0k+mII3xKpJvQIG2V1dMWOfob2ytOreDrX30GH//j5wEQPYoXxvWbaJmEuSDTIhVMtExSpAz9dlh/a8hha7WjBZ0axwN915psJADw0At7eK2gJQJM7b/DJUWuG4YBx+K7dBIxp/qkCDDNBInjBM9dLjcpQnEc2gD0b5gUFxXbIoaBY3Nq/vbXb+OjX3gOSZJgfwFx60AaS57qJKq0HF3bQBAmrTHQ0pDDGd0W0Tgu6LmzzMWDz+/hvEDMCaRtkXFITLSWdCoVxa5fSdsiZUA3viCO8cxu+UkRgJzQDeNon9QpEXXoRTAr/i2ORTwE2iTgq4LbX3stXtwb40+f28PeKEDftWrXHNmWORFhVincbdNEEMetsf7WkMPWqou9kTbR0jgG6OdGUb/0/B5et83XWwCkuBiltPCyJgF4sdcAbYuUZC7S3TSM6KRIeYMfaiV8lDfTLHPRdaxKf4tttsdauQ6suBbueN0r8NEHnluI3gIgBRkt9qtksjgZQWcbQss05PCWr7oKv/6PvqmR3318nlSNVqCXGUUdeCGe3BkUMxddInjcGwVLo7wdgUtnVc0FQKYjKmsuTONIj6ECAP04D9Piogra5iFQB975xm382p+8gIsHXu1jqAC5z+mEh1PJ54KMWLfFnVNDDiS0spnDyfF6UjUaR79jYRzEiOIEj7y4j63VDq5e7wp/pudYMAyyqS+rBcCzYAbqaYt4QYQX98aVNBeOZcI9wu6cANG32KZBmIuKhYFjmUe6RcTCG1+5gdM9Bx994PmFMBe2ZUzbIpVTUROSK6LbIhoS0MWFRq3op94QQz9M9RbilghAquu+a2Nv5C+NuXBtgeZiFOC0YkQ6BW3rPHNpCAPAK06JCysRbOvoMxcAKbgGNTAX159ewd/8uhtquqp2wDAMvOPPb+P/+bOXanfnBAhbQdsiVTQXjmUgjGNi/a2ZCw0JHP2VS6NV6KUbyNCP8KXn9/G6gkkRitWOjcvDYCmjqIA4vKwqc2EYwJM7A1x3eqWSt4BjmseiuLBNAwM/qjxSe+NWHz/0tq+u6arag3e8/nokSf2TIsC0LULEwdWyRYKQtEW0oFNDBkd/5dJoFWyLbIgDL5QaQ6XodyxcGfpLGUUFxLHrVTQXANlMn9oZVDYts8zjoTGgzMVKhVyR44yzmz18001buH4BAVy0LVK1aLdNA0FMBZ3NW39rtB/6LtGoHf2OjUsDH4+9fCi0/c5itevg+cvDSid9FQgFnaMAGyWnRQAy1fDkxcNKkyLA8WqL1CHoPM74+Xe/aSHCOzItElYe8aZJwnoUVUMWR3/l0mgdeq6FB565jPWujeskNQdrHRtXhsHSmAuez0UcJ7gy9CtR1LZFmIuqGQNE0Hn0H1HLNHE41sWFCItS9NO2SNURXmoON/BCrbnQkMLRX7k0Woe+a+MPn7yE89efkl40+x2LOHQua1qEI+g88ELECSq3RZ7eHVaaFKGvcxyKC6K5CCvFrWuUAzXRqs5ckJ/fHwfa50JDCvpp16gdvY6FP3r6knRLBABWO2QzX5aJFk/QuZeyJ2USUSns9LWrai4cy0TniI+iArQtElWy/tYoB8ckJlqVNRfpc7k/DnRbREMKurjQqB2rHRsH47DQPCuLtdRIa6kmWgyfiysjH6d75RJRJ6+d/g1V2yK2ZRwLR0rbIoLOoxzAdlThWCa8MK7MgFHm4mCs2yIactCCTo3aQRef89cXe1xQ9DvkZ5Y3LcJmLi4Pq9swWxZhPjYq+hbYpgnUP524dEx9Lo5+oXTUQNshVZ8ryijuj3RbREMOurjQqB1918Za11ZqC9C2SNOCzitDv9KkCED8KbY3ViqL9BzLgGkc/Q15qrnQm9KyQYuCqlNY9LncH+vIdQ056OJCo3b0OhbOXycv5gSAVcpcLEtzYRvM4mJvVM3jAiCnxap6C/o6yxK4LhKmYWCgNReNgBYXbsX7iNq4a+ZCQxa6uNCoHd/++u1JWJIsaHjZMpkLZltkEODUSjXmwjLNynoLALUUKG2AbVGfi6PPwhw1TNoiNRTtTjp5ojUXGjLQxYVG7fjzN2wo/8ykLbIk5mKt6+DC/nju61dGfmWthFMTc/G9bzlX+TXaAMskhZw+8S4fNAm1jqLdtgwggG5vaUhBFxcarQAVdC4r9fJrt0/hU795Ye7re8MAr76qX+m1//XfvLWybuM4gW5sui2yfNDnqQ6/FDq51NP23xoS0DylRiuwljIXyxpFff0rN/DExUPsDYOZr18e+jhVsTA4d9UqNkumqh5H0M+0o9siSwdlAmtjLgAt6NSQgn7aNVqB6Sjqcm7JrdUOXrnZwwPPXp75OskVOQbzny3ChLnQm9LS4dSouaDPpm5vachAFxcarcCyBZ0A8PobNvDHX5ktLvaGAU5XFHRqzMLSxUVjoAVBHWZstLWiBZ0aMtDFhUYrsDYRdC6xuHjlBr7wzGxxcXnoVx5F1ZjFpLg4BjkpRw2uTZmLGtoiJhlHXZZFv8bRhr5LNFqBrmPCNJbXFgEIc/Enz1xBFBMb8DhOsDeq7tCpMQvdFmkO9mRapIa2iGXqloiGNHRxodEKGAaxzF4mc/Gaa9cAAI9eOAAwTUTd0GLMWqHbIs2BPk91TGG5lqHFnBrS0MWFRmvwQ2/7arzyzPKMoyzTwK03nJ60Rq4Mfdimgb4+ndUKemrWJlrLB9Va1NHKsC1T6y00pKGfdo3W4Hu+8VV4xamVpf7ON2REnVeGQeVEVI15UOZCn3qXj8koag3MhWMZmn3SkIYuLjRONLKiziujAKe1+VXtsCc+F3pjWjambZF67L81c6EhC11caJxo/PmzG3jm0hA7hx6uDH2c1mLO2jHVXOjlZtmYtkXqmRbRgk4NWWgfV40TjVM9BzddtYoHvnJ50hbRqBeWacAw6vFa0FADZY3qmBZxLBPWEqe5NI42dHGhceLx+htIa6Tn2LotsgBYpoGubWktSwOgrFEdzAUpLvRnqCEHXYZqnHi84ZUb+OOvXCEGWrotUjts09AtkYZgGAZcy6xpWkSPomrIQz/xGicer3/lBr743BVcPPR0W2QBsExTTxk0CNsyaskWcbSJloYCdHGhceLx6q0+uo6FP3xyV7dFFgBbjzA2CmLZXb2dccvZ03jd9adquCKNkwCtudA48TBNA6+/4TR++9GLmrlYACzTQEfnijQG166nLfLdX//KGq5G46RAP/EaGiCiTgA6EXUBIJoLzVw0Bds0l5o2rKEB6OJCQwMAEXUC0MzFAmCZWgjYJGxLJ5lqLB/6jtPQAOkn///OX4trT3WbvpRjB8vQ0yJNoq5pEQ0NFShpLj74wQ/iySefxHA4xLvf/W689a1vZX7fY489hh/7sR/D5uYmAODDH/4wOp1O9avV0FgQ+h0b//5vvaHpyziWsLSgs1GQaRHdFtFYLowkSRKZb7znnnvwwAMP4CMf+QjG4zFuvfVW3H///Th37tzM9w0GA9x66634jd/4Ddx0002455578OCDD+Jnf/Zn515zf38fp06dwt7eHtbX1+v5izQ0NFqFcRAhjBOsdrR+vAm8fDDGetfRBZ5GrSjav6W4Mt/38f73vx/vete7AADdbhe33347PvCBD8x978/+7M9ie3sbN910EwDgO7/zO/Ef/+N/xNNPP13hz9DQ0Diq6DqWLiwaxNVrXV1YaCwdUsXFZz7zGezu7uL8+fOTr91yyy2477775r73E5/4xMz3bW5u4vrrr8f9999fw+VqaGhoaGhotB1SxcXDDz8M0zSxsbEx+drGxgYuXryIy5cvz33v1tbWzNc2Njbw5S9/mfv6N998M7a3t7G9vY27775b5fo1NDQ0NDQ0WgYprnJvbw+nT5+GmUnEowLN4XA4U3Ts7e1NhJzZ7x0Oh9zXf+SRR7TmQkNDQ0ND45hAirnY3NyE53kzXxuNRgAwU1iIvjf/fRoaGhoaGhrHE1LFxblz5zAYDDAejydfu3jxIra3t9Hr9ea+d2dnZ+ZrFy9exGte85oaLldDQ0NDQ0Oj7ZAqLm677TZsbW3h85///ORrDz/8MO644465733nO9858327u7vY3d3F7bffXsPlamhoaGhoaLQdUsWF4zi488478bGPfQwA8bL49Kc/jbvuugu7u7t44xvfiEcffRQA8D3f8z14/PHH8dJLLwEAfuEXfgF/7+/9PWxvby/oT9DQ0NDQ0NBoE6SHz9/3vvfhrrvuwnvf+17s7e3h3nvvxY033ogXXngBTz/9NA4ODgAQDcZHP/pR/OAP/iCuu+46GIaBf/2v//XC/gANDQ0NDQ2NdkHaoXMR0A6dGhoaGhoaRw+1OHRqaGhoaGhoaMhCFxcaGhoaGhoatUIXFxoaGhoaGhq14tgWF9pGfHnQ7/VyoN/n5UC/z8uBfp+Xg6be52Mr6Nze3sZzzz1X62tqsKHf6+VAv8/LgX6flwP9Pi8Hi3qftaBTQ0NDQ0NDY6mQ9rlYBChpsr+/v5DXXsTrasxDv9fLgX6flwP9Pi8H+n1eDhb1PtPX5DU/Gm2LPPfcczh79mxTv15DQ0NDQ0OjAp599lmmA3ejxUUcx3jhhRewtrYGwzCaugwNDQ0NDQ0NBSRJgoODA1x33XUwzXmFRaPFhYaGhoaGhsbxgxZ0amhoaGhoaNQKXVxoaGhoaGho1IpGp0UWhQ9+8IN48sknMRwO8e53vxtvfetbm76kY4evfOUr+N7v/V589rOfxU033YS7774bf/Ev/sWmL+tY49d//dfx/d///XjqqaeavpRjjb29PfyX//JfsLm5ieuvv17f1zXi8PAQ73vf+7C+vo4wDOF5Hj70oQ+h0+k0fWnHAjs7O/ipn/opDAYD/MzP/Mzk68PhEO9973uxsrKCS5cu4QMf+ABe+cpXLvRajp3m4p577sEDDzyAj3zkIxiPx7j11ltx//3349y5c01f2rFBkiS4/fbb8ba3vQ3XXnstPvzhD+Oxxx7Dn/7pn+r3eUG4fPkyvu7rvg5hGOLpp59u+nKOLZ544gn803/6T3HPPffgzJkzTV/OscP3f//349y5c/ih/6+9+wtpqo/jOP4+g1mUZTORJmGQghGVGgn9hUEXZkWIGAbSKjQIMsKwKf1VK4KojCAXJLE72Y1FNbK6kaCiVCyLRV0IEcFgq7ELt/yzeC4engPn6XmuOqcfz+/5vmCw893FPpyL/T7nD2fHjgHQ0tKCx+Ph3LlzipP9983MzBCJRAgEAmzcuJFQKGR+Vl9fz65du/D7/bx9+5bGxkZGR0dxu92O5dHqssj09DSdnZ3s27cPgLlz51JdXc2FCxcUJ9PLu3fvaG9v5/jx4+zdu5fHjx9jGAYPHjxQHU1bp06dwu/3q46htWQyid/v59q1a1IsHDI0NGQ5Yl69ejXj4+MKE+nD7XZTW1tLVVWVZT46OkokEqGhoQH4c58bhkF/f7+jebQqF8+ePePr16+sWrXKnJWXl8uiZ7OysjK2bt1qbhcWFrJy5Uo5temQu3fvUlVVRXFxseooWjt79izLly/n4sWLrF+/nkAgwOzsrOpYWlmzZg29vb38+PEDgJGREQ4dOqQ4lV7+fjbi3r17lJaWWn6fy8vLuX//vqM5tCoX0WgUl8uFx+MxZx6Ph3g8TjKZVJhMLzk5OT/NkskkO3fuVJBGb4lEgkgkwv79+1VH0Vo6naavr4+1a9fS09NDKBQiGAzS3t6uOppWrl69ysTEBH6/n+fPn1NbW0tNTY3qWFqLRqMUFBRYZh6Ph48fPzr6vVqVi1QqxaJFiywP9PirraXTaVWxtPf06VPq6ur+8Slt4tecPn1arkf/Bi9fviSTydDY2IhhGKxYsYKGhgaCwaB5lC1+ndfrJRwOk5eXx/bt22Xf/gapVIr8/HzLbM6cOY6viVqVi/z8fKampiyzTCYDYDmbIewzMzNDf38/3d3dqqNoJxwO4/P5WLJkieoo2ovFYgDMnz/fnPl8PjKZDF++fFEVSzvv37/nxYsX3Lhxg8uXL1NXV8ejR49Ux9Lav62LTq+JWpWLkpISJicn+f79uzmLx+MsXbqUefPmKUymrytXrnDixAm538IBN2/eZM+ePRiGgWEYHDhwgE+fPmEYBkNDQ6rjaWXBggUAlsunhYWFgByY2Km5uZktW7aY71taWmhra1OcSm8lJSUkEgnLLB6PU1ZW5uj3alUufD4fBQUFDA8Pm7NoNMqOHTsUptJXX18f27ZtM/98bmpqimw2qziVPm7dusXY2Jj56urqwuv1MjY2xrp161TH08qGDRtwu928evXKnH379o3Kykpyc3MVJtPLmzdvLPdsNTU18fnzZ4WJ9FdfX8/4+Ljl7MXvWBe1Khdut5vW1lYGBgYAmJyc5MmTJ3R0dChOpp/e3l4mJiaIxWIMDg4yMDBAc3Oz/AGdjUpLS6moqDBfxcXF5OTkUFFRIQuezRYvXszRo0cJBoPm7M6dO5w8eVJhKv3U1NTw8OFDc/vDhw9yI7jNstms5V6WyspKNm/ezODgIACvX7/G5XKxe/duR3No9xCtbDZLR0cH09PTpFIpDh48yKZNm1TH0srt27dpamr6aX7kyBGuX7+uINH/QygUorOzUx6i5ZDZ2VkCgQDpdJqFCxeybNkyDh8+rDqWVlKpFG1tbRQVFZGbm0ssFuPMmTPk5eWpjqaFcDhMIBDA5XJx6dIls0AkEglaW1vxer0kEgnOnz9PUVGRo1m0KxdCCCGEUEuryyJCCCGEUE/KhRBCCCFsJeVCCCGEELaSciGEEEIIW0m5EEIIIYStpFwIIYQQwlZSLoQQQghhKykXQgghhLCVlAshhBBC2ErKhRBCCCFsJeVCCCGEELb6A66FtRJxZcKLAAAAAElFTkSuQmCC\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = np.linspace(0,10,100)\n", "y = np.random.random(size=len(x))\n", "plt.plot(x,y)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Our data isn't inherently \"connected\" like a time series, so let's use points instead:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(x,y,'.');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "When you use plt.plot() like this, there's actually a lot going on under the hood. In order to dynamically change the look and feel of our plot, we are going to need to build it ourselves. I won't pretend I'm the full expert, or that this description will be 'correct' of how mpl works at a base level, but that isn't needed to make great plots. Consider this description a mental model for building plots that work.\n", "\n", "## Figures and Axes\n", "When we ran plot() above, matplotlib actually generated two distinct entities needed: a figure, and a set of axes. Think of the axes as the thing actually being plotted on (the lines we see there), and the figure as the \"canvas\" behind it in the background that the axes sit on. If you wanted to adjust, say, the plot limits, that would be an axes action, if you wanted to change the width and height of the overall final pdf in inches, that would be a figure command. \n", "\n", "### Subplots\n", "Subplots are a way of putting multiple axes objects within one figure object, allowing you to make multipanel plots. We're not there yet, but I mention this now because the single plot can be considered a \"subplot\" call with only one set of axes. If you define your plots this way, it becomes easy to learn how to do multiple plots later. \n", "\n", "The way we get started then, is to set up figure and axes objects using the plt.subplot command:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "this has created an empty plot with a set of axes on a blank canvas. This happens when we feed no arguments to subplot — but just to hint at what comes later, I could do this:" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig2,ax2 = plt.subplots(2,sharex=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And easily create two subplots which are stacked vertically, and share axes labels. More on that in a bit. Let's return to our single plot above. \n", "\n", "We now want to get the data from above onto our plot. This has to do with the axes, so I'm going to call:" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "ax.plot(x,y,'.')\n", "plt.show();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Ok, so we're back where we started. Why is this better? \n", "\n", "Well, I now have access to the figure and axes objects that define this plot (notice plt.plot does not return figure/axes objects). What can I do with that? \n", "\n", "Firstly, I can do everything I could do before with plt.plot() — but annoyingly, with different commands. So let's do a few of those first. \n", "\n", "After running a normal plot() command, you might have learned you can use plt.xlim() and plt.ylim() to set the limits on the plot. Here, we are going to use a slightly different method:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "ax.plot(x,y,'.')\n", "ax.set_xlim(-1,11)\n", "ax.set_ylim(-0.1,1.1)\n", "plt.show();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "If I have a legend, that goes on the axes object too:" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "ax.plot(x,y,'.',label='Some Data')\n", "ax.legend(loc=2)\n", "ax.set_xlim(-1,11)\n", "ax.set_ylim(-0.1,1.2)\n", "plt.show();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And, finally, where we used to use plt.xlabel and plt.ylabel, we will now do: " ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "ax.plot(x,y,'.',label='Some Data')\n", "ax.legend(loc=2)\n", "ax.set_xlabel('Time (s)')\n", "ax.set_ylabel('Noise Fluctuations (arb)')\n", "ax.set_xlim(-1,11)\n", "ax.set_ylim(-0.1,1.2)\n", "plt.show();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It's a decent rule of thumb that for things you've learned with regular plots, changing to set_blah() gets you the ax version, but if not, then it's easy to just root around the matplotlib documentation online to find it. \n", "\n", "Let's get a little fancier with our plot. My advisor loves square plots, so I'm going to use the fig object to make it square:" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(6,6))\n", "ax.plot(x,y,'.',label='Some Data')\n", "ax.legend(loc=2)\n", "ax.set_xlabel('Time (s)')\n", "ax.set_ylabel('Noise Fluctuations (arb)')\n", "ax.set_xlim(-1,11)\n", "ax.set_ylim(-0.1,1.2)\n", "plt.show();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Messing with Ticks\n", "\n", "The next thing on our list might be adjusting how the ticks look. Scientifically, outward pointing ticks reduces the chance of overlapping with data, butttt I like inward ticks and for now and for the sake of examples, let's change our ticks to face in, adjust their lengs, add minor ticks, and put all of them on all four \"walls\" of the plot, just to show how those commands work:" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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Pi4jkoaKoK/FgBv62MUVW1xpRhxC3bduGo0ePwsHBAd9++y3+/Oc/Q6PR4Nq1a7oiDScnJ+zZswezZ89GixYtUFRUhC1btogZtkU9XiH41YmrgMIB91RqVgsSkUXIuahLIRhTqygTFVUrSqVStlWIicmXkXgwo9LnYsPbISa8rZUjIiJb9viP5qbuLpL5oWzM9Vz0IUTS93iFoFf9evBq4AyA1YJywOFekqOKoq7Y8HaSSV7GYg9MglJvKXUVggBYLSgDUv0VSyRXxlzPJV9Gb486NvfQu/jxQih9cp5HIJIrDiESmQEXhxNZH3tgRGbAxeFE1scERmQmTw79EpFlcQjRClidRkRkfkxgFmatVe5MkkRkb5jALKyy6jRzk/NWMEREtcUEZmHWqE6zRpIkIpIaFnFYmDWq0wZ2aIotp6/rFtGyhJuI7AF34rARj+/ewUo4IpI77sRhR1jCTUT2hnNgREQkS0xgREQkS0xgREQkS0xgREQkS0xgRGSTuDuN7WMCIyKbw91p7AMTGBHZHO5OYx+YwMgucDjJvvAGo/aBO3GQzasYTqrYamvDuO5c9G1GqbeUSE67g4Edmkrqe+XuNPLGnTiIUPlwEi9o5vH4j4Mtp69L6scBd6exfRxCJJvH4STL4VwTiYk9MLJ51rgjgL3inRBITJwDI6I64VwTWQLnwIjI4jjXRGLhHBgREckSExgREckSExgREckSExiRjHBHEaL/YQITES9GZApuUEukjwlMJLwYkam4aJhIHxOYSHgxIlNxRxEifUxgIuHFiExVsaNIbHg7Se05aCs4pC8/3IlDRNzBgEgaeMcC6eFOHBLHHQyIpMGUOxZI9fYx9ohDiERk94wd0mfxlbSwB0ZEds/YOxbw3nLSwgRGRATjhvR5+xhpYQIjIjIS7y0nLUxgREQmYPGVdLCIg4iIZIkJjIiIZIkJjIiIZIkJjIiIZIkJjIhIJrhfoz5RqxCXLFmCrKwsqFQqjB8/Hv3796/0uB9++AGbN29Gq1atkJmZiUmTJqFfv35WjpaISDyP79e45fR17tcIERPY6tWrkZGRgQ0bNqC0tBQhISFISkpCQECA3nHXr1/H5MmTkZqaCjc3N+Tm5qJDhw64cuUKPD09RYqeiMi6uAuIIVGGENVqNebPn4/IyEgAgKurKwYNGoTFixcbHPvzzz+jYcOGcHNzAwD4+PjAxcUF165ds2bIRESi4i2YDImSwI4fP46CggJ06tRJ1xYcHIy9e/caHNupUyekp6fj0KFDAIBr166hbdu2CAkJsVa4RESi4/3gDIkyhJiWlgYHBwe9IUBPT0/k5eWhsLBQrz0wMBALFy7EiBEjsHPnTqSmpmLPnj1QKBRVnj8wMLDS5+Pi4hAXF2feD0NEZCW2uAtIQkICEhISDNqNuVWlyQns9u3bOHjwIC5cuIC8vDw4OjrC19cX3bp1w8CBA1G/fv0az6FUKtG4cWM4OPyvA+ji8qhrrFKpDOa2Zs6ciXr16uHtt99Gq1atMHbs2GrPn56eLosbWhIR2buqOhYVN7SsjtFDiBcuXMArr7yCFi1aYOrUqUhOTsbly5eRnp6OXbt2Ydy4cfDx8cG0adNQVFRU7bm8vLxQVlam11ZSUgIAlRZmzJw5ExMmTMCRI0dw/fp1vPTSS9BqtcaGTkRENsioHtinn36Kw4cPIzo6Gps2baqyd5OTk4ODBw8iKioKs2fPRteuXSs9LiAgAMXFxSgtLYWrqysAIC8vD35+frpijQrJyclITU3VJba9e/eiY8eO2LlzJ1599VWjPygREdmWGntg3333HZ555hl88803GDx4cLVDc76+vhgzZgy2b9+OlJQUXL16tdLjwsLC0KRJE6SkpOja0tLSEBERYXDsuXPn4OzsrHvcokULvPDCC7hx40ZNoRMRkQ2rMYG1a9cOQ4YMMfnE0dHRUKlUlT7n5OSE2NhY7NixAwBQXFyM5ORkxMfHo6CgAKGhobh06RIAYODAgThx4gQePHgAANBqtcjOzsYLL7xgckxkGltd9W+rn4vI3igEY0o9nnDz5k1s3boV165dQ/369REWFlZp76k6Go0G8fHxUKvVUCqVmDhxInr16oWcnBwEBQVh//79CA0NBfBo2HDbtm0ICgrC7du3ER4ejhdffNHgnBWTfkqlkkUcdfT4qv+m7i4WLdtNvaVEctodDOzQ1OIVVtb8XFJgze+WyJyMuZ6bnMB27dqFUaNGoUGDBujRowcaNmyIK1euoGHDhtizZw8aNmxoluBrgwnMfBKTLyPxYIbucWx4O8SEtzX7+1g7oVjrc0mBvSVrsi3GXM9NXsj87rvvYsCAAcjOzsbevXuxdetWpKSkYOHChZg7d26dgyZpsNaq/8q2x7Eke9rNwNrfLZG1mZzAFAoF3n33XTRo0ECvvXfv3vjjjz/MFReJzFqr/q2dUOxpNwN7StZkn0weQjx06BCOHj2KefPm6bX/8ccfGDx4ME6dOmXWAE3BIUR5Sr2lxI/pdxEe6G3TCUUM/G5Jroy5nte4Dqxr164GPavCwkJs2rRJr+3BgweIioqqfbRkt2xxexypMOd3a+2CEBagUE1qTGCDBg2CWq1Gx44d4ejoWO2xXFhMZJusfS8q3vuKjFFjAouJiYGjoyOefvppAI925WjVqlWlZexEZJusfS8q3vuKjFFjEYePj48ueQHA3LlzcebMmUqPffjwofkiI5IILny2fkEIC1DIGCYXcezbtw/Z2dmIjo42uGXJ4sWLMXv2bLMGaAoWcZC5cS3V/1i7IIQFKPbNIguZQ0NDcePGDSgUCr2Nd9VqNW7fvg2NRlO3qOuACYzMzZ4WPhNJiVmqEJ80ZMgQKJVKdOnSRe9+XlqtFlu2bKl9tEQSNLBDU2w5fV3XA7O3oSxWAtoWW/vvaXIP7O7du9BoNGjWrJlee2ZmJjQaDdq3b2/WAE3BHhhZgr0OZXH41LbI7b+nRXpg3t7eKC4uxs2bN/VuKllxY8v169fXPmIiCbLXdWqsBLQttvjf0+QEtmzZMsTHx6Oyjpufn59ZgiIi8XH41LaG22zxv6fJQ4i9e/fGggUL8NRTT+Gbb77BpEmTIAgC1q5diwkTJqBtW/EmuDmESGReHD6Vx3CbseT039MiQ4j9+/dH//79AQA7duyAt7c36tevjwkTJiA6Oho//fRT3aImIsng8KntDLcBtvff0+Td6K9fv445c+bg5MmTiIqKQmRkJPbv34+PP/4YZ8+etUSMRERWZexCai5yF5fJPbCPP/4YM2bMQGpqKnr27InIyEhMmTIFRUVF+PDDDy0RIxGRVVXcdqe64Tbu1yi+GufASkpKUL9+/VqdvLS0FK6urrV6bW1wDoyIrIWL3C3LLHdkXrduHUpKSkx+89OnTyMlJcXk1xERyQH3axRfjT2w4uJixMbGYtiwYRg6dGiNJ/zjjz+wfPlytGjRApMmTTJboMZgD4yIrElOVX1yY7a9ENVqNT744ANs3LgRoaGhaN++PXx8fODm5oaHDx+iqKgIN27cwIULF/DHH39g9erVeP75583+gWrCBEZEZBvMvpnv3bt3sWnTJhw4cAC///47CgoKUL9+ffj4+KBnz54YNmwYhg8frrdHojUxgRER2QaL7EYvZUxgRES2wSxFHERERFLEBEZERLLEBEZERLLEBEZERLJkcgL78MMPsWTJEpw8eRIAMH36dHh4eKBbt274/fffzR4gERFRZUxOYGvWrMGLL76Inj174ssvv8Ty5csRGxuLf/7zn1i9erUlYiQimXhyc1tudkuWZPJmvmPGjEFwcDBUKhXmzp2LIUOGYP78+QAADw+uRCeyV09ubjs7IhCLk9LtZrNbW7sBphyY3ANTqVRITU1FdHQ0/vjjD6xcuRIAkJubiy1btpg9QCKShyfvobX55+sG99SyVRXJO/FgBv62MYU9TisxOYG99957SExMRFFREZKSktC6dWvs378fcXFx6NixoyViJCIZeHJz29f/r6XdbHZb2Q0wyfLMuhPHlStXEBAQYK7TmYw7cRCJ68nNbe1ls9vHh0+burvY/HCpNVhsK6mUlBRcuXIFarVa16bRaLBt2zbs37+/9hHXERMYEYnFXpK1tRhzPa9VEce///1vPP3003Bzc9N7Licnp3aREpHZsJhAHB2be/D7tjKTE9h//vMfHD58GH379jV47ssvvzRLUERUO1K+zT0TK5mbyUUcY8eORZMmTSp9buDAgXUOiIhqT6rFBKzSI0swuQf2yiuvYOnSpYiMjNS775dWq8WGDRvw1VdfmTVAIjLewA5NseX0dV0xgVQq/ypLrOyFUV2ZXMTRrVs3nD17tvKTKRTQaDRmCaw2WMRBZFwxgbWH88Su0uPwpfxYpApx8+bN+NOf/oQuXbpAoVDo2h8+fIhPPvkEs2fPrlvUdcAERlQzsZKJWFV6YidPqh2LVCGOGjUKgiBAoVAgNzcXzs7O8PLygpOTE2bOnFnnoInIssQazrNGlV5lPS0OX9ouk4s4HBwcsHr1ajRr1gzNmzfH008/jc6dO2PLli16c2JEJE1P7pghlXkyY1W1QXBVhSJy/7xUNZN7YIsWLcI//vEPREVFITg4GN7e3igsLMSePXtQVFSE6OhoS8RJRGbSsbkHNozrLstFt9UtE6iqpyWlz2upuTh7neMzOYElJycjIyMDjRs31mv/y1/+gr///e/miouILEiui26rGw6srgJTCp/XUmv0pLz2z9JMHvPr3r27QfKqcPXq1brGQ0RUpeqGAyt6WrHh7SR5EbfUGj2prv2zBpMTmFqtxoEDB1BRvKjRaHDkyBG88sorqF+/vtkDJNPxJoJkq2pKUh2beyAmvK3kkhdgubk4e57jM7mMvqioCH/5y19w9OhRNGjQAIWFhRAEAb1798Y333yDpk2bWipWo2Kz9zJ6lgwTSZellhLY4kbCFimjb9SoEfbv348zZ87g+PHjAIDQ0FD06tXL5ACXLFmCrKwsqFQqjB8/Hv3796/2+J9++glpaWnw8/NDt27d0KJFC5Pf09axZJhIuiw1FyeFOT4xmJzAKoSGhiI0NFSv7eTJk+jZs6dRr1+9ejUyMjKwYcMGlJaWIiQkBElJSVXeT2zhwoVo0aIF3nrrrdqGbBekupUQEZG51TiE+M4776B79+4YM2YMAGDy5Ml69wGroNFocPToUaMKOdRqNXx9fbF9+3b069cPABATE4P79+9jw4YNBsevWrUK+fn5+OCDD6o9L4cQH7HF4QQisi/GXM9rLOIQBAGP57jS0lKkp6ejvLxc91zFP2P3QTx+/DgKCgrQqVMnXVtwcDD27t1rcOzNmzexYMECeHh4YMSIEQgPD8epU6eMeh97JeWJbCIic6lxCHHVqlV6j6dPnw43Nze0atXK4NgTJ04Y9aZpaWlwcHCAp6enrs3T0xN5eXkoLCzUa1+/fj2aNm2K1157DbGxsYiOjkZ4eDgyMzPh4+NT6fkDAwP19mmsEBcXh7i4OKNiJCIiy0tISEBCQoJBuzH1hSaX0f/yyy+VJq8ff/zR6GE7pVKJxo0b62095eLyqAxUpVLpHXvo0CH07dsXLVu2hEKhwNy5c1FcXIx//vOfVZ4/PT0dN2/eNPjH5EVEJC1xcXGVXq/T09NrfK3JCezkyZOVtrdo0QIvv/yyUefw8vJCWVmZXltJSQkA6PW+ACA3NxcNGjTQPfbz80NAQAAyMzNNCZtkqLo977jOjYiMSmDp6ekYOXIkHB0d8fnnn8PR0dHgX4cOHSrtmVUmICAAxcXFKC0t1bXl5eXBz88Pbm5uese6u7ujsLBQr83b29sg0ZFtqWpjVt7ZVxr4I4KkwKgy+sDAQGzbtg0bN27E7t27ERMTo/e8QqGAm5sbQkJCjHrTsLAwNGnSBCkpKejTpw+AR/NiERERBsf269cPycnJem337t1D3759jXovkqeq1rNxnZv47HnvPZIWk4YQx40bh4SEBPTr10/vX9++feHs7AytVmvUeZycnBAbG4sdO3YAAIqLi5GcnIz4+HgUFBQgNDQUly5dAgDExsbi5s2bukXTqampqF+/PoYOHWpK6CQzVW2PY8/b5kiFPe+9Jwb2dqtm8lZSAHDx4kXk5+frJazMzEzs3LkTe/bsMeocGo0G8fHxUKvVUCqVmDhxInr16oWcnBwEBQVh//79uoXSp0+fxoIFC/Dss8/i5s2bmDNnTqW7cHAdmG2paj0b17mJi9uVWY89f9fGXM9NTmBxcXFITEx89GKFQlfqqFAo0K1bN5w+fbpuUdcBExiRdfBHhHUkJl9G4sEM3ePY8HaICW8rYkTWY5aFzE86f/48MjMzUVhYiI8++gharRZarRbLli3D+vXr6xw0EUkfF8tbB4fMq2fyXog9e/ZE69atATzaEqpi4fGwYcMwcuRInDlzxuxBEhHZIyndTVqKTE5gd+7cwZgxY/Daa69h0qRJGD16NIYPH47du3cjOzvbEjESEdkte91p3hgmDyEmJiYiICAACoUCTz/9NBYuXIhvvvkGd+/e5RAiERFZTa2qECtz584dKBQKeHuLN0bLIg4iIttgkRtafvXVVwZtgiDgwoULcHFxweLFi02PlIiIyEQm98CcnJzg6+urtxGvVqtFcXEx/P398csvv5g9SGOxB0ZEZBss0gNbs2YNJk2aZND+0Ucf4dVXXzU9SiIiolowuYijsuQFAC+99BJGjRpV54CoatxShojof0zugR09etSgrbS0FFu2bMG1a9fMERNVghuoEhHpMzmBhYWFGbQ5OTmhVatWWLdunTliokpwF3YiIn0mDyEuWLAAGo1Gt4WUVqtFWVkZLl26xDkwC+KWMkRE+kzugQGPNu590oEDB+Dk5ITnn3++zkGRIW4pQ0Skz6gEplQqoVQ+Khy4dOkSbty4gSer7x0cHPDGG28gJyfH/FESAG4pQ0T0OKMSmEqlwpo1a5CQkACtVovNmzfrPS8IAhQKBUaPHm2RIImIiJ5k0kLmgwcPYvPmzZg7d67+SRQKuLm5oUmTJmYP0BRcyEzWlnpLieS0OxjYoSl7x0RmZJEbWt67dw9eXl5mCdDcmMDImup6t1wmP6KqWeSGlrm5uejTpw/+85//AABKSkqwfv16rFmzpk7BEslNZUsbjFWR/BIPZuBvG1O4OJ2oFkxOYNHR0fD09MQzzzwDAKhfvz4mTJiA7Oxsg6FFIltWl6UNdUl+RPSIyQmsc+fO2L17N4KDg/Xag4OD8dlnn5ktMCKpq1jaEBvezuThQ67rI6o7k9eBlZWVoaSkBPXr19e1FRQUIDExEe7u7mYNjkjqaru0gev6iOrO5AT25ptvIjQ0FH369IGXlxeuXLmCpKQkaDQafPfdd5aIkcgmcV0fUd2YPITYtWtX/Pe//0Xz5s1x+fJlPHz4EO+88w4uX76MiIgIS8RIRERkwOQy+qrk5ORArVajVatW5jhdrbCMnojINljkhpYLFiwwaBMEAenp6WjSpAlWr15teqRENozrvYgsw+QEtmLFCgQFBcHB4X+jj1qtFjdv3kRgYKBZgyOSO97HjchyTE5gX375JUaMGGHQnpiYiB49epglKCJbwfu4EVmOyUUclSUvABg0aBDGjh1b54CIbAnXexFZjsk9sK+++sqgrbS0FDt27EBxcbFZgiKyFVzvRWQ5Jiew8ePHw9fXV28OzNnZGa1atcK2bdvMGhyRLeB6LyLLMDmBrVy5En//+98tEQsREZHRTJ4Dmzx5cpXP/fLLL3UKhoiIyFg19sAWLVoErVZb44k0Gg2SkpJw5swZswRGRERUnRoTWEpKCs6dO4eWLVvC0dGxyuM0Gg0yMzPNGhxZHxfdEpFc1JjAZsyYAW9vb7Rp06bGk/3www9mCYrEwUW3RCQnNSaw5557zuiTDRo0qE7BkLi46JaI5MSoIg4vLy/MmTMHZWVllo6HRMRFt0QkJ0btRt+rVy8cP34cALB582YcP34ct2/fxksvvYSoqCiLB2ks7kZfd6m3lKIuuuUcHBEBxl3PjUpgkZGR2LRpk+5xcXExevTogQsXLpgvWjNgApO3x+fgmrq7cA6OyI4Zcz03agjxyerDBg0aVFrUkZKSUoswiR6pbA6OiKgqRu3EoVQqkZGRgcc7a8XFxXpt5eXlWLFiBTZv3myZSMnmDezQFFtOX9f1wDgHR0TVMWoI0cHBAQqFQq9NEAS9torHGo3G/FEaiUOI8if2HBwRSYPZ7sj84osv4t1334WTk1OVx5SWlmLVqlW1i5To/7P1jW9ZpEJkPkYlsPj4ePTu3bvG4xo2bFjngOSKFyaqCReKE5mXUUUcxiQv4FG5vT2quDAlHszA3zamIPWWUuyQSIJYpEJkXibvRk+GeGEiY3ChOJF5mXw/MDLE6jkyBu/OTGReRlUhWsqSJUuQlZUFlUqF8ePHo3///tUer9Fo0Lt3b0RHR2PcuHEGz4tZhcjqOSIi8zFbFeKTdu7cibt37yI6Ohr37t3Dvn37MGTIEHh5eRl9jtWrVyMjIwMbNmxAaWkpQkJCkJSUhICAgCpfk5CQgLNnz9YmZIuz9eo5IiKpMXkObNGiRXj11Vexa9cuAI82+h02bBjGjBlj9E4carUa8+fPR2RkJADA1dUVgwYNwuLFi6t8TWpqKu7duwcfHx9TQyYiIhtkcgLbuXMnMjMz0a9fP12bu7s7hg4digkTJhh1juPHj6OgoACdOnXStQUHB2Pv3r2VHl9eXo4lS5Zg7ty5poZLREQ2yuQhxG7duqF169YG7SdOnEBWVpZR50hLS4ODgwM8PT11bZ6ensjLy0NhYaFeOwAsXboU77zzDurXr2/U+QMDAw12DgGAuLg4xMXFGXUOIiKyvISEBCQkJBi0G1OeYXICa9q0KS5evKhLEFeuXMFHH32Ef//73/jrX/9q1DmUSiUaN24MB4f/dQBdXB6VF6tUKr0Edu7cOajVajz77LNGx5ieni67raS4EJqI7FFVHYuKIo7qmJzA5syZg1mzZuGrr77CwoULUVxcDEdHR0ycOLHSLFoZLy8vg5tjlpSUAIBe8lKr1Vi+fDnWr19vapiywh0aiIhMZ/IcmLOzM5YtW4bs7GycOnUKv/76KwoLC/H555+jQYMGRp0jICAAxcXFKC0t1bXl5eXBz88Pbm5uuraTJ0/iX//6F1xcXKBQKKBQKJCdnY2oqCiEhYWZGrpkcSE0EZHpTE5gOTk5yMnJgVqtRseOHaHVajF79mysWrXK6J3ow8LC0KRJE72qxbS0NEREROgd161bN5w9e1bvX7NmzfDBBx/YVK+MOzRIT+otJRKTL3NbMCIJMzmBtWzZEkuXLkVubi4uXLiAPn364OjRo7h69SqmTZtm1DmcnJwQGxuLHTt2AHh0b7Hk5GTEx8ejoKAAoaGhuHTpEho2bIiQkBC9f87OzmjZsmWlN9SUq4odGmLD23H4UAK4tyWRPJg8B/b6669jxYoVAIDw8HA0adIER44cQaNGjUwqc58xYwbi4+MRExMDpVKJ9evXo1WrVsjJycG1a9dw//59U0OTNS6Elo7KhnT534ZIekxOYC1atAAAbN++HT/99BO++eYbXcXfyZMnjT6Po6Mjli5datDu6+uL/Pz8Kl937do10wImMpEc97ZkFSvZI5MTWOfOndG3b1/8/PPPmDx5Ml577TWkpKRg+fLl+OmnnywRI5FVyW3TXVaxkr2q1Wa+arUaDx480O19WFhYCLVaDeDROjGxiLmZrz3gr3xpSky+jMSDGbrHseHtEBPeVsSIiOrOmOt5re4H5uzsrLdxr6enJ5o2bSrZjXalRK7VbSxskC5WsZK9qnEI8eWXX0afPn10FYZDhw6FSqUyOE6j0eD8+fMoLCw0f5Q2Qs5DPSxskC65DXkSmUuNCaxv377o2LGj7nFAQABu3bqFDh06wNHRUdeu0WhQVFRkmShthJyTgBwLG+wJq1jlicPydWPyHNj169fh6OiI5s2bGzx34cIFdO7c2WzBmUrqc2CP98CaurvIqgcG8KadROYk9vVA6snTIje0bNmyJYBHG/Kmp6fD2dkZwcHBcHR0FDV5yYHch3r4K5/IfMQckZHzdMbjTC7iKC8vR2xsLHx8fNCrVy+EhobC29sbS5YssUR8Nqdjcw/EhLeV5R9LVeRamEJkLEv8jYtZfGMr+6+anMCmTZuGAwcOYPny5Th69CguXbqEffv2QaVSVXtHZTIvqSQNVieSrbPU37iYW8jZSuWqyUOIv//+O86ePQtnZ2e99meffRZvvfWW2QKjqkmp+y/nwhQiY+aBLPk3/viwvDXnpOQ+nVHB5B5Yly5dDJIX8Gho8cKFC2YJiqonpe6/rfySI/tjbM/KGn/jYoxk2MJ0hskJzNHREevWrcPt27dRXFyMq1evYtOmTXjuuecQEBBgiRjpCVJKGtxJn+TK2B+C1vgbl9KPUjkxuYz+4cOHePvtt/Hll19Cq9U+OolCgddffx1r1641+qaWliD1MnpzsreSdqmX/JL8iF3GLtVYpMKY67lRCWzHjh0YMWKEXtvdu3d1u8936dJFV14vJntKYPaE/+MmS5HSD0EpxSIFZlsHNmvWLPz6668Gc1+CIEChUODcuXMAgAYNGmDq1Kl1DJtIHwtFyFKktLZRSrHIhVEJrHfv3hg7dixcXFwMntu9ezfee+89+Pv7Y/v27WYPkOrGFobeuI0VEVXGqCHE8+fPIygoSK9Nq9Vi1qxZWLp0KV566SV89dVXog/bcQhRny0NvXF4hci+mG0I8cnklZubi1GjRuHYsWNYtGgRZs6cWfdoyexsaejNnodXbKEXTWQJJpfRHzp0CF26dEFaWhp++OEHJi8Jk1K5PdUOdzohqppJCWzRokUYOHAg/P398euvv2LAgAGWiovMgGu05M9a64OksjUZkSmMSmD37t3DkCFDMG/ePERHR+PYsWPw8/MzOG7Hjh1mD5DqxhZW29szW90FgsgcjJoDCwkJwc2bN9GpUyd4e3vjww8/NDimrKwMO3fuNFgvRkS1Z40962xprpTsi1EJTKvV4ueff4a3d9W//tRqNXJycswWGBE9YukCFi5TILkyKoHNnDkT3bt3r/G42NjYOgdEtomVdNIlpZ3J+XdCpjBqHZhKpYKbm5s14qkTrgOTJltaj0aWw78Tepwx13OjijjkkLxIurjTNhmDfydkKpPXgRGZiuvRyBj8OyFTmXw7FSmTyhAix/ENcSsoMgb/TqiC2W6nIhdSSGAcxyciqjuzzYGR8TiOT0RkHUxgZsZxfCIi6zBqHRgZT0praoiITCWnOXwmMAuw51t/UO3I6aIhBn4/1vH4HP6W09clP4fPIUQikXEz3erx+zFNXe4sILc5fCYwIpHJ7aJhbfx+jFfXZC+3OXwmMCKRye2iYW38foxX12Qvt3sIch0YkQRwAW/1+P0Yx5bWoXIhMxGRnbGVZG/M9ZxViEREFmTtCkp7qoLmHBgRkYWwgtKymMCIiCyEFZSWxQRGRGQhrKC0LM6BEUkMd52wHdxazrKYwIgkRG5b+VDN7Kmowto4hEgkIZwzITIeExiRhHDOhMh4HEIkkhDOmRAZT9Qe2JIlSzBx4kS88cYb+Omnn6o8btWqVWjRogWefvppTJkyBSqVyopREllXx+YeiAlvy+RFVAPRemCrV69GRkYGNmzYgNLSUoSEhCApKQkBAQF6x+3duxc//PADPvnkE5w7dw7Lli2DRqPB559/LlLkREQkBaIkMLVajfnz52P79u0AAFdXVwwaNAiLFy/Ghg0b9I7NysrC7t274eDggNGjR0Or1eKLL75gAiMisnOiDCEeP34cBQUF6NSpk64tODgYe/fuNTh28uTJcHD4X5hhYWFwcXGxSpxERCRdovTA0tLS4ODgAE9PT12bp6cn8vLyUFhYqNfu7Oys99rc3Fy8+uqr1Z4/MDAQCoXCoD0uLg5xcXF1jJ4A6S+2lXp8RPRIQkICEhISDNqNuVGKKAlMqVSicePGej2ril6VSqXSS2BP2r17Nz777LNqz5+ens7bqViQ1BfbSj0+oprY0w+wqjoWFbdTqY4oQ4heXl4oKyvTayspKQGAapPXzp07MWbMGPj4+Fg0Pqqe1BfbSj0+ouqYewf71FtKJCZftsmd8EVJYAEBASguLkZpaamuLS8vD35+fnBzc6v0NZmZmbh27VqNw4dkeVJfbCv1+IiqY84fYLZ+OxdRElhYWBiaNGmClJQUXVtaWhoiIiIqPf7OnTvYunUrYmNjdW3FxcUWj5MqV7HYNja8nSSH56QQny3/6iXLMucPMFsfjVAIxsyUWcCHH36IvLw8rFixAsXFxQgNDcW+ffvg7u6OQYMG4d///jfat2+PvLw8jB8/HpMmTUK9evWg1Wpx8eJFPPXUU4iMjNQ7pzG3oCaytMfn4Jq6u0gyyZO0pd5SmmU3Fjn/LRpzPRctgWk0GsTHx0OtVkOpVGLixIno1asXcnJyEBQUhP379yMwMBDPPvss0tLS9F7r6OiI27dv4+mnn9ZrZwIjKUhMvozEgxm6x7Hh7RAT3lbEiMiemSsZWpukE5glMIGRFMj5Vy+RVBhzPedmvkT/n7lKl7khL5F1MIERwfxrx3gTQyLL4/3A7Agr46pm69VaRLaICcxO2Pp6kLri2jEi+eEQop2orIfBIa7/4bwVkfywB2Yn2MOoGW8k+QiHmkkuWEZvR+S6HoSsh0sASCpYRk96WBlHNeFQM8kJhxCJSIdDzSQn7IGRxdjTPY1sBYtZSE6YwMgieFNJ+eJQc93xx5t1cAiRLIILg6k6tlzpaK01l7b8HRqLCYwsgnMpVBVbX1RvjR9vtv4dGosJjCzyS04KN5UkabL13rk1frzZ+ndoLM6B2TlLzlVxLoUqM7BDU2w5fV231szWeufWKISx9e/QWExgdo7rfsja7KHS0dI/3qz1HUq9GIUJzM7xlxyJgb3zurP0dyiHSmImMDtnD7+Gich0chidYQIj/homIgNyGJ1hAiOyE1KfzyBpkcPoDBMYkR2Qw3wGSY/UR2e4DozIDkh53RB3lKDaYgIjsgNS3RmFO0pQXXAIkcgOSHU+Qw6VbiRdTGBEdkKK8xlyqHQj6WICIyLRSLVnSPLABEZEopJiz5DkgUUcREQkS0xgZFa2XhJt65+PSE6YwMhsxCiJrmtCMeX1LPkmkhYmMDIbay+WrWtCMfX1Ul4MTGSPmMDIbKy9WLauCcXU10t1MTCRvWIVIpmNtUui67qGyNTXs+SbSFoUgiAIYgdhLkVFRfDw8IBSqUSjRo3EDoesIPWWsk4Jpa6vJyLLMOZ6zh4YyVpd1xBxDRKRfHEOjIiIZIkJjKyOa6mIyByYwMiquJaKiMyFCYysimupiMhcmMDIqriWiojMhVWIZFVcS0VE5sIERlbH0nUiMgcOIRKRXWEVrO1gAiMiu8EqWNvCBEZEdoNVsLaFCYyI7AarYG0LizjIZqTeUiI57Q4GdmjKIhGqFKtgbYuoCWzJkiXIysqCSqXC+PHj0b9//0qPy8jIwLx58+Dl5QUAWL58OVxcXKwZKklcxdzGnftl2HL6OjaM627zFycm7EdM/R5YBWs7REtgq1evRkZGBjZs2IDS0lKEhIQgKSkJAQEBescVFxfjxRdfxL59+9CmTRusXr0aMTEx+Oyzz0SKnKSosrkNW75I2WPCrgy/B/smyhyYWq3G/PnzERkZCQBwdXXFoEGDsHjxYoNjP/vsM/j5+aFNmzYAgNdffx1ffPEFrl27Zs2QSeLsbW6DxQiP8Huwb6IksOPHj6OgoACdOnXStQUHB2Pv3r0Gx+7evVvvOC8vLzRv3hxJSUlWiZXkoWJuIza8nV38Cre3hF0Vfg/2TZQhxLS0NDg4OMDT01PX5unpiby8PBQWFuq1p6WlGcyNeXp64vLly1aLl+TBnuY2WIzwCL8H+yZKAlMqlWjcuDEcHP7XAawoylCpVHoJTKlU6oo3Hj9WpVJVef7AwEAoFAqD9ri4OMTFxdU1fCJJsKeEXR1+D/KWkJCAhIQEg3ZBEGp8rSgJzMvLC2VlZXptJSUlAKCXvKo79snjHpeeno5GjRqZKVoiIrKUqjoWRUVF8PCo/oeJKHNgAQEBKC4uRmlpqa4tLy8Pfn5+cHNzMzg2Pz9fry0vLw/t27e3SqxERCRNoiSwsLAwNGnSBCkpKbq2tLQ0REREGBz72muv6R1XUFCAgoICDBo0yCqxEhGRNImSwJycnBAbG4sdO3YAeLTWKzk5GfHx8SgoKEBoaCguXboEABg3bhwyMzNx584dAMDXX3+N6Oho+Pn5iRE6ERFJhGgLmWfMmIH4+HjExMRAqVRi/fr1aNWqFXJycnDt2jXcv38fwKM5se3bt+Pdd9+Fr68vFAoFVqxYIVbYREQkEQrBmFIPmaiY9FMqlSziICKSMWOu59yNnoiIZIkJjIiIZIkJjIiIZIkJjIiIZIkJjIiIZIkJjIiIZIkJjIiIZIkJjIiIZIkJjIiIZIkJjIiIZIkJjIiIZIkJjIiIZIkJjIiIZIkJjIiIZIkJjIiIZIkJzIwSEhLEDkEU/Nz2hZ/bvkj5c/OGlmbk5+eHmzdvWv19xcbPbV/4ue2LWJ+bN7QkIiKbxQRGRESyxARGRESyxARGRESyVE/sAMypoh6lqKhItPcX673FxM9tX/i57YtYn7viPaurM7SpKsSbN2+iRYsWYodBRERmcuPGDfj5+VX6nE0lMK1Wi5ycHLi7u0OhUIgdDhER1ZIgCLh//z58fX3h4FD5bJdNJTAiIrIfLOIgIiJZYgIjIiJZYgIjIiJZsqkyejEtWbIEWVlZUKlUGD9+PPr37y92SBaXnZ2NSZMm4cSJE2jTpg0SEhLw/PPPix2WVX3//fd48803cfXqVbFDsRqlUolNmzbBy8sLzZs3t+n/5g8ePMCMGTPQqFEjlJeXo6ysDEuXLoWLi4vYoVlEfn4+Pv74YxQXF+PTTz/VtatUKsTExKB+/fq4d+8eFi9eDH9/fxEj/f8EqrNVq1YJUVFRgiAIQklJidC+fXshMzNT5KgsS6vVCgMHDhQ++eQT4auvvhKCg4MFNzc3m//cj7t3754QEBAg+Pv7ix2K1WRmZgqjRo0S8vPzxQ7FKqZMmSIsX75c9/jNN98U3n//fREjshy1Wi3s3LlTaNu2rRAZGan33Kuvvips2rRJEARBOH/+vNC5c2dBrVaLEKU+DiHWkVqtxvz58xEZGQkAcHV1xaBBg7B48WKRI7Os33//HTNmzMB7772HMWPG4MCBA1AoFNi7d6/YoVnN+++/j7Fjx4odhtUUFhZi7NixSExMxFNPPSV2OFZx+PBhvZ5G586dcf78eREjshwnJycMHz4c3bt312v/5ZdfkJSUhJEjRwJ49B0oFAps2bJFjDD1MIHV0fHjx1FQUIBOnTrp2oKDg23+Qt6+fXsMGDBA99jb2xsdOnSw2aGVJ/3nP/9B9+7d0bJlS7FDsZp58+ahdevWWLJkCXr06IHp06ejvLxc7LAsKigoCJ9++im0Wi0A4MyZM5g8ebLIUVmWk5OT3uPdu3ejTZs2ev/bDg4Oxp49e6wdmgEmsDpKS0uDg4MDPD09dW2enp7Iy8tDYWGhiJFZlrOzs0FbYWEhhg4dKkI01pWfn4+kpCSMGzdO7FCsRqVSYf369ejatStWrFiBjRs3Yu3atZgxY4bYoVlUQkICsrKyMHbsWJw4cQLDhw/HkCFDxA7LqtLS0tCkSRO9Nk9PT1y+fFmkiP6HCayOlEolGjdurLdSvOKXikqlEissqzt69ChGjBhR5ZYvtmTOnDlYuHCh2GFY1c8//4ySkhK88cYbUCgU+NOf/oSRI0di7dq1ut6JLWrWrBm2bdsGDw8PvPjiizb9WauiVCrh5eWl1+bi4iKJ6xsTWB15eXmhrKxMr62kpAQA9Hpltuzhw4fYsmULFixYIHYoFrdt2zaEhYXBx8dH7FCsKjc3FwDQoEEDXVtYWBhKSkpw69YtscKyuPT0dJw8eRJr1qzBsmXLMGLECPzwww9ih2VVVV3jpHB9YwKro4CAABQXF6O0tFTXlpeXBz8/P7i5uYkYmfUsX74cs2bNsov5r88++wyjRo2CQqGAQqFAVFQUsrOzoVAocPjwYbHDsxh3d3cA0BsW9/b2BmDbP9QmTJiAPn366P7/t956C9OmTRM5KusKCAhAfn6+XlteXh7at28vUkT/wwRWR2FhYWjSpAlSUlJ0bWlpaYiIiBAxKutZv349Bg8erLsLQFlZGTQajchRWc4XX3yBs2fP6v598MEHaNasGc6ePYvQ0FCxw7OYnj17wsnJCadPn9a13bt3D126dEHDhg1FjMyyzp07pzffO378eNy4cUPEiKzvtddew/nz5/V6YVK5xjGB1ZGTkxNiY2OxY8cOAEBxcTGSk5MRHx8vcmSW9+mnnyIrKwu5ubnYv38/duzYgQkTJtj0nQDatGmDkJAQ3b+WLVvC2dkZISEhNn0hf+qppxATE4O1a9fq2nbu3InZs2eLGJXlDRkyBPv27dM9vnTpks0XKmk0Gr25vi5duqB3797Yv38/AOC3336Dg4MD/vznP4sVog53ozcDjUaD+Ph4qNVqKJVKTJw4Eb169RI7LIvasGEDxo8fb9D+9ttvY+XKlSJEJI6NGzdi/vz5uHbtmtihWFx5eTmmT58OlUqFRo0awd/fH2+++abYYVmUUqnEtGnT4Ovri4YNGyI3Nxdz586Fh4eH2KFZxLZt2zB9+nQ4ODjgk08+0SWp/Px8xMbGolmzZsjPz8eiRYvg6+srcrRMYEREJFMcQiQiIlliAiMiIlliAiMiIlliAiMiIlliAiMiIlliAiMiIlliAiMiIlliAiMiIlliAiMiIlliAiMSwbfffougoCCrvufly5fxz3/+s8rnr169ig0bNlgxIqK6YQIjMqP58+ejSZMmGDhwIAYPHgyFQoGOHTti8ODBCAoK0m103Lp1a7zwwgtWi+vq1atYt24doqKiqjzmmWeeQdeuXW1+g16yHfXEDoDIljRo0ADnzp1D8+bNAQAKhQJvv/02Jk+eDAB46623AADdunVDt27drBKTIAiYMGECtmzZUuOxISEh2LhxI/bt24chQ4ZYITqi2mMPjMiMIiIidMmrMlOmTLFiNI/s2rULDRs21N2AsibR0dGYOXOmhaMiqjsmMCIz6tChQ43P5+Xl4f3330fXrl0BAFlZWXjrrbcQERGBM2fOICQkBE899RS+++47XL16Fc899xzc3d2xatUq3XkEQcCSJUswZcoUhIaG4p133sHDhw8rfc9169ahb9++em0HDx7EtGnTMHnyZLi6uuLYsWO65wIDA3H9+nWcPHmytl8DkVVwCJHIyjQaDe7fv4979+4BAJydnZGTk4OMjAykpqbi0KFDiI2NRUxMDOLi4rB9+3b861//Qnx8PCZPngwnJyesWrUKISEhmDlzJu7du4fWrVvD398fU6dO1Xuv8vJyHDp0yKDnN2vWLPz8888AUOmt4du0aYPk5GT07NnTQt8CUd2xB0ZkZT4+PnoViH5+fujYsSN8fX0RGRkJT09PjBo1Cjk5OZg6dSqaNWuG4cOHQ6VS4e7duwCAZcuW4ZdffsFHH32EdevWISwsDEVFRQbvlZmZidLSUvj4+Oi1p6enY+XKlRAEAX/9618NhhebN2+OCxcuWODTE5kPe2BEInB0dKz2saurq95jZ2dnAMDDhw/x4MED3LhxA5MmTapxXqugoAAA4Obmptc+a9YsxMTEYNOmTVixYoXBEKObmxtu3bpl/AciEgF7YEQyUzHXde7cOb32imT1uPr16+u9pkJ8fDx+/PFHqFQqPP/889i9e7fBa59MqkRSwwRGJDOenp7w9vbGJ598AkEQADya6/ruu+8Mjq0YOnxyeHHfvn0YMGAAfvvtN4SHh+OLL77Qe/7Bgwfw9fW10CcgMg8mMCILUavVev/3cRqNBhqNRu+xVqvVPa5ITBVtFY8rXhMTE4Mff/wRERERWLt2LUaMGIGwsDCD9/H19UXLli1x48YNvfalS5dCo9HAxcUFL774Itq0aaP3fHZ2ttXWqRHVFhMYkQVkZmbqdrT4+uuvkZSUpHvuypUr2Lp1K27fvo1Nmzbh3Llz2L17N86fP4/t27fj2rVrWLduHQDg448/Rk5ODhISEgAAq1evRlFREaZPn46YmBgcO3YMy5cvx4QJEyqtJgSAYcOGGRRknDhxAj169MD777+P9PR0zJs3T/fcw4cPceXKFbz88stm/U6IzE0hVPy0IyKbdOXKFbz++uu6svmaHD16FImJidixY4eFIyOqG/bAiGxcQEAABg8ejAMHDhh1/KZNm7Bs2TILR0VUd0xgRHZg7ty5OHToEPLy8qo9bufOnXj11VfRunVrK0VGVHscQiSyE1qtFsnJyRg0aFClz2dnZ6OwsBAhISHWDYyolpjAiIhIljiESEREssQERkREssQERkREssQERkREssQERkREsvT/AL7xts6y9w4PAAAAAElFTkSuQmCC\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(6,6))\n", "# old stuff\n", "ax.plot(x,y,'.',label='Some Data')\n", "ax.legend(loc=2)\n", "ax.set_xlabel('Time (s)')\n", "ax.set_ylabel('Noise Fluctuations (arb)')\n", "ax.set_xlim(-1,11)\n", "ax.set_ylim(-0.1,1.2)\n", "# new stuff \n", "ax.tick_params(axis='both',direction='in',length=6,top=True,right=True)\n", "plt.show();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "So, ax.tick_params() has lots of things to mess with (check out the documentation online), but what I did was specify that I wanted this particular call to address both x and y (you could pick just one), that I want the direction of the ticks to be \"in\", their length to be 6, and for them to appear on the top and right edges of the plot (left and bottom are on by default). \n", "\n", "Next I want to add minor ticks. For this, I need to \"locate\" them, and then \"format them\" onto the plot. That is done as follows:" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(6,6))\n", "# old stuff\n", "ax.plot(x,y,'.',label='Some Data')\n", "ax.legend(loc=2)\n", "ax.set_xlabel('Time (s)')\n", "ax.set_ylabel('Noise Fluctuations (arb)')\n", "ax.set_xlim(-1,11)\n", "ax.set_ylim(-0.1,1.2)\n", "# new stuff \n", "ax.tick_params(axis='both',direction='in',length=6,top=True,right=True)\n", "XminorLocator = MultipleLocator(0.5)\n", "YminorLocator = MultipleLocator(0.05)\n", "ax.xaxis.set_minor_locator(XminorLocator)\n", "ax.yaxis.set_minor_locator(YminorLocator)\n", "plt.show();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "What I've done is use the MultipleLocator class, which allows you to set intervals of ticks, to choose appropriate minor tick intervals for each axis and then set them to the plot. \n", "\n", "Now we need to make them point in, like the major ticks, and get them onto the other two sides:" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(6,6))\n", "# old stuff\n", "ax.plot(x,y,'.',label='Some Data')\n", "ax.legend(loc=2)\n", "ax.set_xlabel('Time (s)')\n", "ax.set_ylabel('Noise Fluctuations (arb)')\n", "ax.set_xlim(-1,11)\n", "ax.set_ylim(-0.1,1.2)\n", "# new stuff \n", "ax.tick_params(which='major',axis='both',direction='in',length=6,top=True,right=True)\n", "XminorLocator = MultipleLocator(0.5)\n", "YminorLocator = MultipleLocator(0.05)\n", "ax.xaxis.set_minor_locator(XminorLocator)\n", "ax.yaxis.set_minor_locator(YminorLocator)\n", "ax.tick_params(which='minor',axis='both',direction='in',length=3,top=True,right=True)\n", "plt.show();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Notice that I use ax.tick_params() now twice, once to adjust the minor ticks and once to adjust the major ticks. The reason 2 calls were needed is I now specify using the \"which\" keyword that I'm only affecting the major ticks with the first and the minor with the second. If I wasn't setting the length, the two calls would look the same, and I could condense it down to one call, with \"which\" set to \"both\". \n", "\n", "## Adjusting fonts and fontsizes\n", "\n", "One of the major issues with matplotlib's defaults is that, when compared with how plots are inserted into often 2-column papers, the fontsizes are just too small to work with. \n", "We can set the fontsize globally, or adjust it for a lot of the individual components. To set it globally, we'd use:" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "plt.rc(\"font\", size=16,family='serif')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "I've also switched our font family over to serif - that's just a personal preference. Now if we replot:" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(6,6))\n", "# old stuff\n", "ax.plot(x,y,'.',label='Some Data')\n", "ax.legend(loc=1)\n", "ax.set_xlabel('Time (s)')\n", "ax.set_ylabel('Noise Fluctuations (arb)')\n", "ax.set_xlim(-1,11)\n", "ax.set_ylim(-0.1,1.2)\n", "# new stuff \n", "ax.tick_params(which='major',axis='both',direction='in',length=6,top=True,right=True)\n", "XminorLocator = MultipleLocator(0.5)\n", "YminorLocator = MultipleLocator(0.05)\n", "ax.xaxis.set_minor_locator(XminorLocator)\n", "ax.yaxis.set_minor_locator(YminorLocator)\n", "ax.tick_params(which='minor',axis='both',direction='in',length=3,top=True,right=True)\n", "plt.show();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "That is now much easier to read. You can also adjust the exact fonts being used in a similar manner. \n", "\n", "## Multiple subplots\n", "\n", "Let's say we wanted to put two plots side by side, both of which were plotting noise fluctuations from 0 to 1 (like two trials of the same experiment. We could do that using subplots, as hinted at above. " ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "new_y = np.random.random(size=len(x))\n", "fig, ax = plt.subplots(1,2,sharey=True,figsize=(12,6))\n", "# old stuff\n", "ax[0].plot(x,y,'.',label='Trial 1')\n", "ax[0].legend(loc=1)\n", "ax[0].set_xlabel('Time (s)')\n", "ax[0].set_ylabel('Noise Fluctuations (arb)')\n", "ax[0].set_xlim(-1,11)\n", "ax[0].set_ylim(-0.1,1.2)\n", "# new stuff \n", "ax[0].tick_params(which='major',axis='both',direction='in',length=6,top=True,right=True)\n", "XminorLocator = MultipleLocator(0.5)\n", "YminorLocator = MultipleLocator(0.05)\n", "ax[0].xaxis.set_minor_locator(XminorLocator)\n", "ax[0].yaxis.set_minor_locator(YminorLocator)\n", "ax[0].tick_params(which='minor',axis='both',direction='in',length=3,top=True,right=True)\n", "\n", "ax[1].plot(x,new_y,'.',label='Trial 2')\n", "ax[1].legend(loc=1)\n", "ax[1].set_xlabel('Time (s)')\n", "ax[1].set_xlim(-1,11)\n", "ax[1].set_ylim(-0.1,1.2)\n", "# new stuff \n", "ax[1].tick_params(which='major',axis='both',direction='in',length=6,top=True,right=True)\n", "XminorLocator = MultipleLocator(0.5)\n", "YminorLocator = MultipleLocator(0.05)\n", "ax[1].xaxis.set_minor_locator(XminorLocator)\n", "ax[1].yaxis.set_minor_locator(YminorLocator)\n", "ax[1].tick_params(which='minor',axis='both',direction='in',length=3,top=True,right=True)\n", "plt.show();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's take a look at what I did: \n", "\n", "First, note that when you call subplots in a way that generates more than 1, ax becomes a list of axes objects, each of which can be indexed to in order to be adjusted. I thus, since the two have the same plotting settings, replicated them indexed at 1 – but most of the time, your plots will have different settings going onto each (if not, ask yourself why they aren't simply displayed on the same plot). I did remove the y_label call to the second plot, since it is sharing with the first. And for fun I gave more \"meaningful\" labels.\n", "\n", "As it stands, the two plots are separated by some default amount of whitespace. We can adjust that to bring them closer together:" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(1,2,sharey=True,figsize=(12,6))\n", "# old stuff\n", "ax[0].plot(x,y,'.',label='Trial 1')\n", "ax[0].legend(loc=1)\n", "ax[0].set_xlabel('Time (s)')\n", "ax[0].set_ylabel('Noise Fluctuations (arb)')\n", "ax[0].set_xlim(-1,11)\n", "ax[0].set_ylim(-0.1,1.2)\n", "ax[0].tick_params(which='major',axis='both',direction='in',length=6,top=True,right=True)\n", "XminorLocator = MultipleLocator(0.5)\n", "YminorLocator = MultipleLocator(0.05)\n", "ax[0].xaxis.set_minor_locator(XminorLocator)\n", "ax[0].yaxis.set_minor_locator(YminorLocator)\n", "ax[0].tick_params(which='minor',axis='both',direction='in',length=3,top=True,right=True)\n", "ax[1].plot(x,new_y,'.',label='Trial 2')\n", "ax[1].legend(loc=1)\n", "ax[1].set_xlabel('Time (s)')\n", "ax[1].set_xlim(-1,11)\n", "ax[1].set_ylim(-0.1,1.2)\n", "ax[1].tick_params(which='major',axis='both',direction='in',length=6,top=True,right=True)\n", "XminorLocator = MultipleLocator(0.5)\n", "YminorLocator = MultipleLocator(0.05)\n", "ax[1].xaxis.set_minor_locator(XminorLocator)\n", "ax[1].yaxis.set_minor_locator(YminorLocator)\n", "ax[1].tick_params(which='minor',axis='both',direction='in',length=3,top=True,right=True)\n", "\n", "# New stuff\n", "plt.subplots_adjust(left=None, bottom=None, right=None, top=None,\n", " wspace=0.04, hspace=None)\n", "\n", "plt.show();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For now I only adjusted the \"wspace\" parameter, which controls the horizontal spacing between subplots in your figure. If they were verticall stacked, I would have used the hspace instead. Left, Right, Top, and Bottom adjust how far away you are from the edges of the overall figure.\n", "\n", "Here, stretching to meet those edges would mess up our aspect ratios, but we can try out tight_layout to try to fix it:" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "image/png": 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FEjTFxcWSpDZt2gRsT0xMlCTt2LGjxr9NS0sLWgjn5uYqNzfXwCidL7/IqxGzV2h76QHNXV6o54dnqmdqstlhAYAtTJs2TdOmTau2PRrrDpL7AABWUNfcZ4sitVLz5s0Dfi4vL5ckNW7cuMa/KSgoUFJSUlTjihd567dre+kBSdL20gP6qGAHRSoAhKmmArGkpETJycZeS8l9AKwkv8irvPXblZ2ewr1jnKlr7jO9u284OnbsKEnas2dPwPbS0lJJUrt27WIdUlzKTk9RSmITSVJKYhNlpXHeAQAA6ioehlFV9sSbvmijRsxe4ej3CuPYoiU1JSVFHTp0qOr2W6moqEiNGzfWqaeealJk8aVnarKeH56pjwp2KCutHU/CAAAA6ihehlHREw91YYuWVJfLpeHDh+vTTz8N2L569WpdcsklatGihUmRxZ+eqckal9WNiwsAS4uH1gkA9haseHMieuKhLkwvUn0+nySprKwsYPvll18e0H/5b3/7myRpyZIlkqQffvhBa9as0UMPPRSTOK2ImzAAqI6uZQDsIFbFm9n3i5U98cZndXdsazGMZ2p338WLF2vGjBmSpKlTp+r6669XZmamJOnHH38MmJmwbdu2Wrx4se666y4tWLBARUVFysvLU9euXU2J3WzBuohIYlA6gLhH1zIAdhCLYVRW6VLcMzWZ6zAiYmqROnDgQA0cODDo77755ptq29LT0zV//vxoh2ULR96EvfpVoT4q2G76RQgAzJadnqK5ywu1vfQAXcsAWFq0izce2sGuTO/ui7o5souIX4qLcQ0AEApdywDgEMaDwq5sMbsvqjuyi4gkLfq/llQuQs7GWmNAaHQtAwBWZoB9UaTa2JE3YVyEnM8qY0sAAIA98NAOdkSR6iBchJyPsSUAAABwOsakAjbC2BIAAAA4HS2pgI0wtgQAACB+xcvcJBSpgM3QrRsAACD+xNPcJI4vUnNycpSQkCC32y232212OEHFyxMRAMAfPB6PPB6PfD6f4ce2Q+4DAETGCXOThJv7XH6/3x+jmGKqpKREycnJ8nq9SkpKMjucGh3+RCQlsUnMnohQGAOANRiZr+yS+wAgntX1PtysuiEaQuUrx7ekWp0ZT0TiqasAAAAAYBX1uQ+Pp7lJmN3XZGbM1hqsMAYAIJbyi7yanrdB+UVes0MBgJip7314z9Rkjcvq5ugCVaJINV3lE5HxWd1j1qLJMiYAADNVtiRMX7RRI2avoFAFEDe4Dw8P3X0tINaztcZTVwEAgPU4YfIPAKiLSO/D43UeGYrUOMUyJgAAs2Snp2ju8sKqyT9oSQAQT8K9D4/neWQoUgEAQEzRowcAQovnXieMSQUAADEXL5N/wL6Y3Atmi+fxq7SkAgAAAIeJ526WsI547nVCkQoAJorXCREAwMriuZslrCVe55Ghuy8AmIRlOADAmuK5myVgBbSkAoBJeFIPANYUz90sASugSAUAk7AMBwBYV7x2swSsgCIVqCfGFKKueFIPxDfyBwAE5/giNScnRwkJCXK73XK73WaHA4dh9j/rsdtNH0/q45fH45HH45HP5zP82OQ+6yN/AIhH4eY+l9/v98coppgqKSlRcnKyvF6vkpKSzA4HDjU9b4OmL9pY9fP4rO4al9XNxIji2+E3fSmJTbjpgy0Yma/IffZh9fxhtwd+AOwlVL5idl+gHpj9z1qCTUQEAFZk5fzBzOMAzOb47r5ANDGm0FqYiAiAXVg5fzDzOACzUaQC9cSYQuuw8k0fABzJqvmDB34AzEaRCsBRrHrTBwB2wQM/AGajSAUAAEAAHvgBMBMTJwEAAAAALIMiFQAAAABgGRSpAELKL/Jqet4GliEAAABA1FGkWhzFAczGenkAAACIJYpUC6M4gBUEWy8PABC/eIAOINooUi2M4gBWkJ2eopTEJpLEenkAEOd4gA4gFihSLYziAFZQuV7e+Kzuen54JksSWAQtGQDMwAN0ALHAOqkWxmLasArWy7OWypaM7aUHNHd5IQ8PAMRMdnqK5i4v1PbSAzxABxA1FKkWR3EA4EjBWjK4TgCIBR6gA4gFxxepOTk5SkhIkNvtltvtNjscAKi3SFsy8ou8ylu/XdnpKdxQWojH45HH45HP5zP82OQ+RBMP0AHUVbi5z+X3+/0xiimmSkpKlJycLK/Xq6SkJLPDAQBD5Rd5w2rJOLxrcEpiE7oGW5CR+YrcBwCwg1D5yvEtqQDgROG2ZNA1GAAA2A2z+wKAgzFLOAAAsBtaUgHAwZjkBABgJ/E4j0I8vudQKFIBwOGY5AQAYAfxuMRaPL7ncNDdFwAAWEp+kVfT8zYov8jr6NcEECjYPApOF4/vORwRFakVFRV67bXXdOWVV6pHjx5KTk5W69atdfLJJ+umm27SV199Fa04AQBAHKhsVZi+aKNGzF4Rk6LRjNcEUF08zqMQj+85HGF39124cKFuvvlmFRcXq1u3bjrhhBOUkZEh6dAUwosWLdKzzz6rc845R7NmzVLHjh2jFjQAAHAmM2akZhZswBpCzaPgxLGbzB0RXFhF6rRp07R06VLNnj1b/fr1U8OGDYPuV1paqgULFujaa6/Vww8/rFNOOaXW465bt05TpkxRhw4dtG3bNj3wwAPq0aNHjfsvXbpUzz//vLp27ardu3erWbNmmjx5shISEsJ5GwAAC3DiTQaMk52eornLC6vW9o1Fq4IZrwkguJrmUXDy2E3mjqjO5ff7/bXt8M477+i3335TTk5O2Af1+/164IEHNHr0aB199NFB99m6dasyMzO1YMECZWRkaOnSpRo6dKjWrFmjtm3bVtt/48aNysrK0tq1a6sWfL3++uvVqlUr/eMf/6i2PwuaA4D1HH6TkZLYxFE3GXVlZL5ySu7LL/LGvFXBjNcEEL7peRs0fdHGqp/HZ3XXuKxuJkaE+giVr8IakxpJgSpJLpdLd955p7799tsa95k4caI6d+5c1WX4rLPOUsuWLXXvvfcG3f+9995TixYtAt5Enz599MEHH0QUGwDAPEwQgXD0TE3WuKxuEReL9Zn8qK6vCSadQmwwdjO+hCxSL7744qDbvV6vVq5cqe+//z7o710ul84555ygv9u7d6/mz59fVaBWysjI0Jw5cxSscbddu3YqKCjQ66+/XrVt6dKlNb4GAMB6uMlAtDD5kTk474iVyrGb47O60wunBk56YBTxEjT79u3TtddeqzZt2igzM1Pp6enq2rWrPv7447CPsXLlSu3fv79at9727dtr9+7d2rx5c7W/ufzyy3Xaaafpiiuu0KxZs/TPf/5TZWVleuihhyJ9CwAAk3CTgWihld4cnHfEEj0eaua0B0YRF6m33nqrXnjhBbndbr366qt65513NHr0aI0aNUorVqwI6xjFxcWSpDZt2gRsT0xMlCTt2FH9AtekSRMtXLhQffv21ciRI/XCCy9ozpw5atq0aaRvAQBgIm4yEA200puD8w5Yg9MeGIW9BE0lj8ejcePG6fHHH6/adsEFFygnJ0e33nqrXnzxxbCP1bx584Cfy8vLJUmNGzcOuv+ePXvUtm1bDRs2THPnztUFF1ygt956q9pxDpeWliaXy1Vte25urnJzc8OOFQCA+pg2bZqmTZtWbXuI+QvrJB5zH8s4HBLr2bM574A1WHWW8rrmvoiL1KSkJF166aXVtrdt21YNGoTXMFu5huqePXsCtpeWlko6NP70SL/++qsGDhyot956S71791aXLl10//336+abb9Zzzz1X42sVFBTYeoZDAIAz1FQgVs5waKR4zX3xvoyDWUt0xPt5txuWAXMmqz4wqmvui7i778MPP6yvvvqq2nafz6dNmzaFdYy0tDQ1bdq0qttvpaKiIqWmpqpTp07V/uaZZ55RixYt1Lt3b0nSfffdp+uuu04vvvii9u3bF+nbAAAAcBSndfeD8Zw2bhGBnDScJmRL6siRI1VWVhawbfny5dVm9S0sLFTnzp3DetHk5GQNGjRIy5YtC9i+evVqDRs2LOjf7Nmzp1o34LFjx+qFF15QRUVFWK8LAADgVFbt7gfrCPYgwwkFDZwnZJFaXFys1atXq3PnzmrYsKGkQ117t2zZUm3fiRMnhv3CkyZNUmZmpjZt2qQuXbpoyZIl8vl8mjBhgqRDBWhxcbFee+01SdKVV16pZ555Rhs2bFD37t0lSevWrdPQoUPVokWLsF8XAADAiaza3c/K4q3rKw8yYBchi9RRo0apS5cuOuGEEyRJFRUVYY89rU2PHj20YMEC3XbbberatauKi4u1dOlStW7dWtKhrr+FhYVV+5966qn6z3/+o3Hjxqlv375q2bKlSktL9eyzz9Y7FkRHvF34pfh8z6FwTgAgdhgfGj6zxvCaiQcZsAuXP8JpBfv06aP+/fvrySefjFZMhqgcjOv1euNy8gizHX7hT0lsErMLv5kFkVnv2co4J0BoRuYrch8Qvul5GzR90caqn8dndde4rG4mRgTEj1D5KuIm0T179igjIyPo73bu3Bl5hHAkMyZvMHsyACasqI5zAgCwKtZ4Bawr4iJ13rx52rFjR9DJip5++mlDgoL9mXHhN7sgItlVxzkBAFhVZdfX8Vnd6ekDWEzE3X1PPvlk/fLLL5IUMGHR/v37tX37dpWXlxsbYR3R5cl8+UXemI55sELX0li/ZzvgnAC1o7svACDehMpXISdOOtIZZ5yhwsJCnXLKKQETKJWXl+uNN96oX7RwlFhP3mCFyQCYsKI6zgkAAAAiEXGROnr0aDVp0kTdulUfWH722WcbEhRQVxRE8cEKMwZbIQYAAAAnirhIPfHEE4NuX7hwYb2DAYBQrLBkgBViAAAAcKqIi9QdO3Zo+vTp2rlzZ8D4023btmnNmjXatm2boQECwOGCTZAV6wLRCjEAAAA4VcRF6rXXXqtVq1apffv22rdvn9q1OzRb5+bNm3XNNdcYHiAQL+g+Gp7s9BTNXV5YNUGWGTMGWyEGAAAAp4q4SE1ISFBhYaEqKir04IMPatKkSZKkf/3rXzr++OMND7C+cnJylJCQILfbLbfbbXY4QFB0Hw2fVSbIMjsG2J/H45HH45HP5zP82OQ+AIAVhZv7Ii5Se/XqpQYNGqhBgwZyuVzatWuX2rRpo6ysLA0aNEgrV66sc9DR8OKLLzINPyyP7qORscIEWVaIAfZWWUBWTsNvJHIfAMCKws19DWr8TQ3y8/N111136ZtvvlFOTo6uuOIKvf/++7rrrru0adOmegUNxKvs9BSlJDaRJLqP1iC/yKvpeRuUX+Q1OxRYBJ8JoH6s9h2yWjwAzBNxS+qUKVN02WWXyefz6ZFHHtH//M//6KKLLpLf79f48eOjESPgeHQfrR3doXEkPhNA/VjtO2S1eACYq05L0GzcuLHq5xtuuEHnnXeeDhw4oLS0NEODA+IJ3UdrRndoHInPBFA/VvsOWS0eAOYK2d33/fffD3mQ448/vlqB6vf79cknn9Q9MgD4P3SHxpH4TMBpYt3V1WrfIavFA8BcLr/f769thzfeeENNmzbVX//617AP6vP5dO+99+qWW25Rq1at6htjnVQOxvV6vUweAThAfpGX7tC1iMcljJzymTAyX5H77Onwrq4piU1i1tXVat8hq8UDIHpC5auQ3X0vu+wyPfTQQ/J4PBozZoz69OlT476///673n//fc2YMUNPPPGEaQUqAOehO3TN4nUsF58JOIVZXV2t9h2yWjyIjnh8qIrIhTUmdcKECXrjjTd06aWX6sCBA0pPT1eHDh3UokULHThwQLt379amTZu0adMmZWdn65VXXlGHDh2iHTsAQJHd4HJzAFhPdnqK5i4vrGpJpasrnCpeH6oicmFPnHTZZZfpggsu0Jw5c/Tmm29q2bJl2rlzp5o3b66OHTsqOztbzz//vE4//fRoxgsAOEK4N7jcHADWxAzvcIJwHoIyQRbCFdHsvk2aNNGIESM0YsSIaMUDAIhQuDe43BwA1kVXV+ujJ0rNwn0IGk+9Bvi81E/ES9AAAKwnnBvceLo5AAAj0ROlduE+BI2XXgN8XuqPIhUA4kS83BwA4aCVA5GgJ0rtInkIGg+9Bvi81B9FKgDEkXi4OQBCoZUDkaInSu14CBqIz0v9UaQCAIC4UNl6uqP0AK0ciAhFWGg8BP0Dn5f6M6RI3bNnj2XXRM3JyVFCQoLcbrfcbrfZ4QAAIEnyeDzyeDzy+XyGH5vcV93hraetmzVS6xaN9dvvB2nlQNgowhAJPi/BhZv7XH6/3x/Jgf/+97/L5XLpggsu0Nlnn63rr79ezz//vFJSUvTee+/plFNOqVfgRikpKVFycrK8Xq+SkpLMDgcAgKCMzFfkvppNz9ug6Ys2Vv185WnHql1SU1u2cjCeFk7C5zk+hcpXDSI94PPPPy+3262zzz5br776qp577jnl5uZqwYIFeuaZZwwJGgAAwEjZ6SlKSWwiSUpJbKIr+h6rcVndbHdTXNkiPH3RRo2YvUL5RV6zQwLqzA6f5/wir6bnbbBkbE4WcXffq666ShkZGZKkhx56SKeeeqr+8Y9/SJLat29vbHQAAAAGcMoYMWYNhZNY/fPMJGvmibgltVmzZpKkF154Qfn5+XrwwQerfrdo0SLjIgMAADBQz9RkW7aeHu7IFmHG04ZGS5h1Wf3zHKyIRmxE3JKanp6u0047TatWrdLVV1+tc889V99//73uvfdeffnll9GIEQAAAHJOi3CsmNESxhjL8Fn988xSMuaJeOIkSfrll1+0Y8cOnXTSSZKk9evXq7S0VJLUt29fYyOsIyaPAADYARMnAdFz5IRZ47O6a1xWt6i93uFFcUpiE7qHOkB+kdeyRbSdGT5xkiQdc8wxVQWqdKh1tW/fvtq1a1fdIwWAKDiymxfdvgJxPgA4Way7k9I91HmcMEzAjiLu7vv7779r1qxZ+u6773Tw4MGq7WVlZfr444/1008/GRogANTVkd287rwwTQ+8V8AECP+HCSEAOF2su5PSPRQwRsRF6qWXXqrFixerTZs2atmyZcDvduzgaREA6zjyifarXxVaehbBWLP6rIoAYISeqckxu7ZZfYwlYBcRF6lffvmlFixYoPPPP7/a71gnFYCVHPlE+4q+x2rLr7/zhPv/8MQfAIwXy6IYcKqIi9SsrCz17t076O/cbne9AwIAowR7ot2lbUuecP8fnvgDAAArinjipGeeeUavvPJK0N+99tpr9Q4IgL1ZbSKeIyc8YAKEQJwPAABgNREvQXPSSSdp27ZtatGihRo0+KPGraio0LZt2wImUzIT0/ADsWe3qfdZyw5WwBI0AIB4EypfRdzdt3///vJ6veratWtAkXrw4EG99dZb9YsWgK3ZaSIeZrYFACA6eAiM+oq4SB09erTatWun9u3bV/vdX//6V0OCMlJOTo4SEhLkdrsZMwtEmZ0m4rFTQQ1n8ng88ng88vl8hh+b3AfALDwERm3CzX0Rd/ettG3bNn3zzTdKSEjQmWeeqRYtWtQp0GihyxNgjvwiry0m4rFb12Q4F919ATjJ9LwNmr5oY9XP47O6a1xWNxMjghUZ3t3X7/fr9ttv1xNPPKGysjL5/X61aNFCkydP1q233mpI0ADsK5Kp983sDmTFmW3pHgUAsDs79aqCdUVcpD788MN6+umnNWrUKPXt21fHHHOMdu7cqXnz5ikxMVGjRo2KRpwAHMYK3YGstJadFc4HAAD1ZcWHwLCfiIvUN998U/n5+ercuXPA9qFDh+raa6+lSAUQlngdE1pTa2m8ng8AgPNY6SEw7CnidVJPO+20agVqpfLy8vrGAyBOZKenKCWxiSQ5rjtQTWvFVraWTl+0USNmrwj4vZPPBwB7sNo61wCMY7fvd8QtqWVlZUG3L1q0SKtWrap3QADig1O7A9XWbbe21lI7nI9YjJllXC5gDoYcAIc4MQ/Z8fsdcZH6l7/8RWeccYYGDx6sVq1aadu2bfrggw/06aef6umnn45GjAAcyondgWorRENNJmHl8xGLBGfHJAo4BUMOAOfmITt+vyMuUocMGaIDBw5owoQJ2rZtmySpdevWeuqppzR69GjDAwQAO6mtELVDa2lNYpHg7JhEAadgRlbAuXnIjt/vOq+TWlFRofXr10uSunfvrsaNGxsaWH2xVlz4nNitATCTXdaKjUQs1pWN17VrWScVVuHEaxcQCSfnIat9v0PlqzoXqcF8+eWX6tevX9j7r1u3TlOmTFGHDh20bds2PfDAA+rRo0fIv9u9e7eefPJJlZWV6bjjjtMll1yio48+OmAfEnV4nPxlBGCsWCQ4qyXRWKBIBQDriMc8ZIZQ+Spkd9/HH39c6enpOu+88yRJ9913n4LVteXl5Xrrrbe0evXqsALbunWrBg4cqAULFigjI0NLly7VgAEDtGbNGrVt27bGv1u+fLluvPFGPfnkk/rzn/8c1muhZk7t1gDAeLEYM2vlcbkAAOcjD1lDyCL1scceU3Z2dlWRumjRIi1dujTovi6XK+wXnjhxojp37qyMjAxJ0llnnaWWLVvq3nvv1VNPPRX0b1auXKlLLrlEeXl56tWrV9ivhZrZsY86AAAAAOcKuU7q999/r3/9619VP19//fVauHChfD6fKioqqv75fD5Nnjw5rBfdu3ev5s+fX1WgVsrIyNCcOXOCttQeOHBAQ4YM0ejRoylQDVQ5kcv4rO509QUAAABgupAtqS1atAj4uXJ234YNGwZsb9iwoXJzc8N60ZUrV2r//v3VuvW2b99eu3fv1ubNm9WlS5eA382aNUubN29W+/btdf3112vVqlU67bTT9NBDDyk5mcKqPujWAAAA4h0TSQLWEbIl9UgPPPCAWrZsWW37W2+9pcWLF4d1jOLiYklSmzZtArYnJiZKknbs2FHtbzwej1JTU3Xqqadq1qxZmj17tl599VWdf/75QVteAQAAgHBUTiQ5fdFGjZi9QvlFXrNDAuolv8ir6XkbbPtZjrhIDVZASlK3bt0iXie1efPmAT+Xl5dLUtDlbPLz89W3b1+ddtppkqQTTzxRI0eO1Jdffqm8vLwaXyMtLU0dO3as9m/atGkRxQoAQH1MmzYtaD5KS0sz/LXIfUBkgk0kaXV2L0IQPVZ66FLX3Beyu68krV27VrfccosWLVokSfrnP/8ZdL/+/fuHFWzHjh0lSXv27AnYXlpaKklq16765D2lpaVVLa2VLrjgAv3jH//Q+vXrde655wZ9rYKCAqbhR0h08QEQbbm5uUGHxVROw28kch/MZMecareJJA9fQnDu8kLmFUEAK63eUdfcF1aR2qtXL3344Ye64447tHz5cuXk5AT83uVyqUWLFjUWikdKS0tT06ZNq7r9VioqKlJqaqo6depU7W+OPfZY7dy5M2DbMcccI0nV1kgFgqkpaXKhtz873hABgBNFK6dG+zpfOZGkXdbHtFIRAuux20OXYMIqUis9/PDD+vDDD4MWoz///HO1ls6aJCcna9CgQVq2bFnA9tWrV2vYsGFB/+ayyy7Tc889J5/Pp4SEBEnSr7/+qsaNG2vAgAGRvA3EodqSJhd6e+MhAxBfeChlbdHIqbG6zttpIkknFCGIHrs9dAkm4jGpNbWWFhcX68EHHwz7OJMmTVJBQYE2bdokSVqyZIl8Pp8mTJggSRo7dqyGDBlStf/tt9+uli1batasWVXbXn75ZY0fP76q+zBQk9rGmmSnpyglsYkkcaG3ITuOI4o3jJuCUaw0zirehPs9jkZO5TpfHUsIWo/Vcl3P1GSNy+pm289GRC2pkvTll18qNzdXO3furJroSJJ2796tiooKTZw4Mazj9OjRQwsWLNBtt92mrl27qri4WEuXLlXr1q0lHer6W1hYWLV/mzZt9PHHH+vWW2/VTz/9JJ/Pp06dOlUVtUBtanvi6ISnTfGMp8nWRks3jETPF3NE8j2ORk7lOh+cnVp+68ouPSfIdcaLuEgdN26cjj/+eGVmZurHH3/UqaeeKkn68MMPIy4YzzjjDJ1xxhlBf/f6669X23b88cdr/vz5kYYMhEya8XChdyoeMlgbRQWMRLFijki/x0bnVK7z8clOhR+5zngRF6knn3xy1ey+d911lyZPnixJyszMrOq6C1gRhahz8f+tdVFUwEgUK+awwveY63z8sVPhZ4XviNNEXKS2atWq6n+npKRozZo16t27t44//njdeOONuvnmm42MDwBgYxQVMBrFSuzxPYYZ7FT48R0xXsRF6s6dO3XGGWdo5MiR+v/+v/9PZ599trKysvT+++9r37590YgRAGBjFBWA/fE9RqzZrfDjO2KsiIvUxx9/XLfeeqskqWXLlnryySd1xRVXaP/+/XriiScMDxAAAABA/KHwi18RF6nJyckBy8D0799fW7duVUlJiRo3bmxocAAAAACA+BLxOqk1WblypV599VWjDgcAAAAAiEMRt6Q2aNBALpcr6O/69OmjESNG1DsoAAAAAEB8irhI/ctf/qKrrrpKDRr80QhbVlamt99+W5dffrmhwQEAAAAA4kvEReqDDz6ovn37VtveokUL7d+/35CgjJSTk6OEhAS53W653W6zwwEAQJLk8Xjk8Xjk8/kMPza5L7ryi7zKW79d2ekpTOoCABEIN/e5/H6/34gXLCgo0LnnnquffvrJiMPVW0lJiZKTk+X1epWUlGR2OKYgiQKA9RmZr8h90Zdf5NWI2Suq1m58fngmORYAIhQqX0XckvrSSy9V27Zv3z7NmzdPBw8erFuUMNzhSXTu8kKSKAAABshbv13bSw9IkraXHtBHBTtMz688lAbgNBEXqcOHDw+6PTk5Wc8880x944FBrJhEAQCwu+z0FM1dXljVkpqV1s7UeHgoDcCJIi5SR44cqdtvvz1g4qQmTZooJSWlxll/EXtWS6IAADhBz9RkPT88Ux8V7FBWWjvTC0IeSgNwooiL1FtuuUXHHXdcte3ffvutevfuTaFqEVZLogAAOEXP1GTL5FUeSgNwogahdwn0+OOPB92elJSkUaNG1TsgGKdnarLGZXWzTCIFAADGqnwoPT6rO119Yyi/yKvpeRuUX+Q1OxTTcA4QTWG1pK5fv15ff/21JOn777/Xyy+/rCMnBV6/fr08Ho+effZZ46MEAABAUFZq2Y0HjAPmHCD6wipS09LStGrVKt1www3673//q48//rjaPi1atNAdd9xheIAAmLkRAACrYBww5wDRF1Z3X5fLpSuvvFKLFi3SuHHjVFFRUe1faWmp7rzzzmjHC8SdyqeV0xdt1IjZK+rVrYauOQAA1E92eopSEptIUtyOA+YcINoimjgpMzNTnTt3jlIoAIIx6mklXXMAAKg/JqfkHCD6Ip44qaysTP/zP/+jJUuWSJJKSkr02GOP6c033zQ4NACScU8rgxW7AAAgckxOyTlAdEVcpN54441atGiRSkpKJB2a1feWW27RnDlz9NprrxkeIBDvjJq5ka45AAAAsIOI10mtqKjQ7t271ahR4J9ecsklmjJlioYMGWJYcAAOMWLmRrrmAAAAwA4iLlK7detWrUCVpB9++EFbt241JCgA0cEyBQAAALC6iIvU8vJy5eXlKTs7W9KhltWXXnpJjz32mAYMGGB0fPWWk5OjhIQEud1uud1us8MBAECS5PF45PF45PP5DD82uQ8AYEXh5j6X3+/3R3LgkpISZWVlaffu3WrTpo02bdqkXbt2qXv37vrggw/0pz/9qV6BG6WkpETJycnyer1KSkoyOxwAAIIyMl+R+wB7Y110xItQ+SriltSkpCR9/vnnmjdvnr788kudccYZ6t27t4YNG6aEhARDggZQdyQ4AADsh6XigD9EXKRKUqNGjXTVVVfpqquuqtr2888/y+fz6bjjjjMsOACRIcEBAGBPRq2LDjhBxEXqSy+9VG1bRUWFVq1apaZNm+qRRx4xJDAAkSPBAQBgT9npKZq7vFDbSw+wVBziXsRF6vDhw2v8Xdu2bSlSAROR4AAAsCeWigP+0CDSP5g8ebLKy8tVUVFR9c/n8+nuu+/W5s2boxEjgDBVJrjxWd3p6gsAgM30TE3WuKxu5G/EvYiL1BtvvFEulytgW8OGDXXBBRdozJgxhgUGoG5IcAAAALCziIvUtm3bBt1eWlqq//znP/UOCAAAAAAQvyIekzpw4MBq2/bt26dvv/1WvXr1MiQoAAAAAEB8irgl9euvv1Z5ebn8fn/Vv+TkZF133XWaP39+NGIEAAAAAMSJiFtSH3/8cV177bXRiAUAAACImvwir/LWb1d2egpzNwAWFnFL6tVXX13j79avX1+vYGBv+UVeTc/boPwir9mhAAAABMgv8mrE7BWavmijRsxewf0KYGEhW1KXLl0a1oHKy8s1c+ZM/fvf/653ULCfygv/9tIDmru8kOVPAABxgZY5+8hbv13bSw9IkraXHtBHBTv4/wywqJBF6nXXXadNmzaFPJDf76+2NA3iBxd+AEC84QGtvWSnp2ju8kJtLz2glMQmykprZ3ZIAGoQVpFaUVGh0047TQ0bNqxxv7KyMj377LOGBmeEnJwcJSQkyO12y+12mx2OY3HhB4DIeDweeTwe+Xw+w49N7osNHtDaS8/UZD0/PFMfFexQVlo7/r8CTBBu7nP5/X5/bTvs3LlT5eXlat++fcgX3bx5s44//vjIIo2SkpISJScny+v1Kikpyexw4kJ+kddSF366YAGwAyPzFbkvtg5vSU1JbEJLahzjngOITKh8FbJILSwslCQ1adJEKSkp0YkyCkjU8Y0bBwB2QZFqb1Z7QIvY454DiFyofBVydt/OnTvr73//u7Zv3x6VAIFoCNYFCwAAo/VMTda4rG4UJXGMew7AeCGL1F69emnevHnq3bu3JGny5MkaNGiQxowZozfffDPa8QF1kp2eopTEJpLEGFkAABA13HMAxgs5cVJlcVrprrvuUteuXbV69WodddRRUQsMqA8mRwAAALHAPQdgvJBFakJCQrWfTznllKAF6i+//KJjjjnGuOiAeuiZmhz3iYKJHAAAiD7uOQBjhezuG/SPGgT/s/nz59crGCfLL/Jqet4G5Rd5zQ4FcaJyIofpizZqxOwVfPYAAABgCyFbUj/77DONGjVKh08CvHr1ao0cOTJgv3379undd9/VmDFjjI/S5ljsG2Zg/T4AABAv6D3mLCGL1I0bN2rjxo3Vtv/rX/+qts3lchkTlcNQLMAM2ekpmru8sGpKfCZyAAAATkSDkPOE7O47YsQI7du3TxUVFbX+++9//6vRo0dH9OLr1q3T4MGDNXbsWA0ePFjff/992H/7/PPPq3PnzhG9nlmY9Q1mqJzIYXxWdy7WAGBjDBkCascyQM4TsiX1uuuuU5MmTUIeqHnz5rrmmmvCfuGtW7dq4MCBWrBggTIyMrR06VINGDBAa9asUdu2bWv9259++km5ublq1apV2K9nJmZ9g1mYyAEA7I0WIiA0eo85T8iW1H79+oV9sL59+4a978SJE9W5c2dlZGRIks466yy1bNlS9957b8i/HTdunC6++OKwX8sKWOwbAABEihYiIDR6jzlPnWb3ra+9e/dq/vz5VQVqpYyMDM2ZMydgkqYj/fOf/1RWVpa6dOkS7TABAABMxZAhIDw0CDmLKUXqypUrtX///mrdetu3b6/du3dr8+bNQf9u69at+vDDD3XDDTfEIkwAAABT1beFiPGsAOwo5JjUaCguLpYktWnTJmB7YmKiJGnHjh3VWkr9fr/Gjx+vJ554IqJZhNPS0oLun5ubq9zc3EhDBwCgTqZNm6Zp06ZV215b76G6Ivc5S13nF2A8K+qLZV1QX3XNfaYUqZWaN28e8HN5ebkkqXHjxtX2nTFjhi655BJ16tQpotcoKChQUlJS3YO0GC4WAGBPNRWIJSUlSk429nrutNyHumEJPNTHkQ857rwwTZt3/s49KCJS19wXcXffvXv36sYbb9RVV10lSfr111/1wAMP6NNPPw37GB07dpQk7dmzJ2B7aWmpJKldu8DxFps2bdKnn36q4cOHRxquo1ReLKYv2qgRs1fQdQcAANSI8ayojyMfckyYv9ZS96B0ZXe2iIvUv//975o9e7Z+++03SdLRRx+tiRMn6qGHHtI777wT1jHS0tLUtGnTqm6/lYqKipSamlqttfSVV17RvHnz5HK5qv7dc8892rp1q1wul6ZMmRLp27AlZvgDAADhYsZT1MfhDzlaNG6o3w8e6vFohXtQGm6cL+IiddmyZdq4cWPAcjMul0sXX3yxJkyYENYxkpOTNWjQIC1btixg++rVqzVs2LBq+48aNUqrVq0K+Ddq1Cgdc8wxWrVqlUaPHh3p27Alnog6C08AAQDRxoynCKWm+5HDH3I8NKiXpe5BabhxvojHpPbp00epqanVthcUFNQ4K28wkyZNUmZmpjZt2qQuXbpoyZIl8vl8VYXu2LFjVVxcrNdee03t27dX+/btA/6+ffv2aty4sU4++eRI34JtVV4sPirYoay0diQcG2MyCwAAYLZQ9yOHT9rVpW1Ly9yDZqenaO7yQm0vPWCJohnGi7hITUpKks/nC5g18LXXXtPMmTN1+umnh32cHj16aMGCBbrtttvUtWtXFRcXa+nSpWrdurWkQ11/CwsLIw3P8eo6wx+shcksAACoOyaSNEYk9yNWugel4cb5XP4I577fsGGDxo4dq71796pnz55asWKFVq5cqeTkZC1ZskQnnXRStGKNSOWMUV6vlxkOYTmHP7lMSWxi65ZUbhSA+jEyX5H7EA+clEPNxrmEWULlq4iLVEnavn27Zs6cqa+//lplZWXq3bu3xowZo2OPPdaQoI1AoobV5Rd5bf8EkOQG1B9FKhCZ6XkbNH3RxqqfrzztWLVNbMLD0jpywv0I7CdUvqrTOqkpKSmaPHlyvYNDfKHFLZCVus3UFd2WAQCxdvh4xNbNGun9dcX6be/BuJ7joT73WE64H4HzRDy774wZMzRjxoyqdVEfeOABtWrVSv369dOWLVsMDzAeOXHWV6YKdyZmnAYAxNrhs86e36uDftt7UFL8zvLKPRacqE7rpKakpKh///56//33dffdd+uCCy7QHXfcoQcffDAaMcYVp15omCrcmViDD4DZnPhgF6FVLq1zZd9j4/5hKfdYcKKIu/teddVVuvzyyyVJ9913n7p166aXXnpJjRo10qpVqwwPMN44tfskU4U7F92E4hPd92EFLOcFZnnlHgvOFHGR2q7doQ/+e++9py+//FJz585Vo0aHDrN8+XJjo4tDTr3QkEQA57BiYUDRHJ+c+mAXkYn3h6XcY8GJIi5SjzrqKA0aNEh5eXnKysrS0KFD5fV6NXXqVH344YfRiDGuOPlCE+9JBHAKqxUGViyaERtOfbALRIp7LDhNxEXq+PHjdcYZZygnJ0d//etfJUnffPONevfurVdffdXwAOsrJydHCQkJcrvdcrvdZocTlni80NAKAhgn2t8nqxUGViuaw+XxeOTxeOTz+Qw/th1zX104+cEuADhRuLmvTuuk1mTHjh1V3YHNxlpxgaxcBLLWJmCcWH2frLSunt2vIayTGj1Wzn0AEM/qvU5qYWGhWrVqVfXHhYWFQfcrLy/X448/rieffLKeIcNoVu8KZ9dWECCWwr3ZjtX36cgeH2YWA7SmIRir5z4AQM1CFqmnnnqqsrOzNXfuXElS//79tW3bthr3p0i1HqsXgVbrOghYTSQ322Z8n6xQDMTjMAnUzuq5DwBQs5BF6jPPPKPjjjuu6ucRI0bo119/1amnnlo1q68klZWVac6cOdGJEvVi9SKQVhCgdpHcbJvxfaIYgBVZPfcBAGoW8ZjUn376SS6XSx07dqz2u7Vr16pXr16GBVcfjMsJZKXxY1bBWCXYhdXHXFo9PqtjTGr0kPsAwJpC5at6TZxUWlqqRo0aqVmzZvUKMhpI1KgNN9WwG6vfbFs9PiujSAUAxJtQ+apBXQ767rvvKj09Xa1atVLLli119tln64svvqh3sECsBOueCFhZz9RkjcvqZtkC0OrxAQAA+4i4SH3rrbd06aWXKiEhQSNGjNCdd96pnj176sorr9Qnn3wSjRgBw2WnpyglsYkkMVYJAAAAsJCQEycd6cEHH9TcuXM1ZMiQgO3//e9/ddNNN+nss882LDiYIx7GajJZEwAAAGBNERepPXv2rFagSlLLli0tOTYVkbHCUhKxwpIVAAAAgPVE3N23devWQbcXFxczLtUBGKuJSvlFXk3P26D8Iq/ZoQAAACCORFyktmrVShMmTNDq1av1448/6vPPP9fkyZN18skna+DAgdGIETHEWE1If7SoT1+0USNmr6BQBQAAQMxE3N13woQJGjlypE499VS5XC5Jkt/v1+DBg/Xggw8aHiBii7GakIK3qEf7sxAPY6EBAAAQWsgidcWKFcrMzKz6uWHDhnruued066236qOPPpLL5dLpp5+uPn36RDVQxA5jNZGdnqK5ywur1pGNdot6PI2FBgAAQO1CFqkvvviiTjrpJDVu3Dhge1pamtLS0qIWGADzxLpF3YyWWwAAAFhTyCL12Wef1YoVK9SiRYuA7X6/Xy6XS/v379dXX30lSfrrX/+qd999NzqR1lFOTo4SEhLkdrvldrvNDgewjVi2qMe65RawAo/HI4/HI5/PZ/ixyX0AACsKN/e5/H6/v7YdnnzySY0dOzbo737++Wdddtll+uabb3TLLbdo6tSpVeNUzVZSUqLk5GR5vV4lJSWZHQ4MxNhFZ8ov8lp6LDSfO0SLkfmK3AcAsINQ+SpkS+pFF10UdPtnn32mwYMHy+v16sUXX9TVV19d/2iBEBi76FxWHgvN5w4AACB2Qi5Bc/zxx1fbNnPmTJ1zzjmSpMWLF1OgImZYxxVm4HMHAAAQOxGtk1pWVqZRo0ZpzJgx6tmzp1asWKF+/fpFKzagGtZxhRn43AEwQn6RV9PzNrD2NACEEPY6qdu3b9fll1+uzz//XG63W7Nnz1azZs2iGZtjMbat7ljHFWbgcwegvhg2AADhC6tIXbFihQYNGqRt27bpnnvu0d133x10v/z8fPXs2dPQAJ2GJFV/Vh67COficwegPlhqCwDCF7K77wsvvKCzzz5bXq9Xr7/+eo0FqiS98cYbhgbnRIxtAwAg/jBsAADCF3IJmgYNGqhVq1bq1KmTWrduXeMSMzt27FBBQYHKy8ujEmikrDoN/+EtqSmJTWhJBYA4xxI08cPqS20BQKzUewmabt266YsvvlDr1q1Dvtg999xTtyjjCGPbACD2mAsAVsCwAQAIT8gi9dZbbw2rQJWkIUOG1DugeECSghVw024czqW1MRcAAAD2EnJM6tChQ8M+WFpaWr2CARAblTft0xdt1IjZK1gOoR44l9bHXAAAzMTSQ0DkQhapjGkBnIebduNwLqPLiJs7JqwBYBYeZAJ1E7JIBeA83LQbh3MZPUbd3FXOBTA+qztdfQHEFA8ygboJa51UAM7CBF7G4VxGj5HrSjIXAAAzZKenaO7ywqpVHXiQCYTH8UVqTk6OEhIS5Ha75Xa7zQ4HsAxu2o3DuYwOp9/ceTweeTwe+Xw+w49N7oNVxPvEcjzIRKV4/y5UCjf3hVwn1a5YKw4A6scKCTUe1pVknVQ4FWvDA4fwXaiu3uukAgDij1WWbaGVGrAvI7vsA3bGdyFyTJwEAKiGyT4A1BcTywGH8F2IHC2pAIBqnD4eFED0MR4TOITvQuQoUgFIssb4Q1gHCRWAEeiyDxzCdyEyFKkALDP+ENZCQgUAAGZgTCoAxh8CQC3yi7yanrdB+UVes0MBYDC+39ZEkQqAAf0AUIPKnibTF23UiNkruJEFHITvt3XR3RcA4w8BoAYsHQE4F99v6zK1JXXdunUaPHiwxo4dq8GDB+v777+vdf9XXnlF6enpSkxMVL9+/bR48eIYRQo4X8/UZI3L6sbFGQAOQ08TwLn4fluXaS2pW7du1cCBA7VgwQJlZGRo6dKlGjBggNasWaO2bdtW2//tt9/WrFmzNGHCBHm9Xj300EM677zz9Omnn6pv374mvAMAAOB09DQBnIvvt3WZVqROnDhRnTt3VkZGhiTprLPOUsuWLXXvvffqqaeeqrb/119/rUWLFqlRo0MhZ2VlqXfv3nrmmWcoUgEAQNQw07VxIlnujKXREAt8v63JlO6+e/fu1fz586sK1EoZGRmaM2eO/H5/tb8ZPXp0VYEqSSeccILS09O1a9euqMcLAACA+olkkhomtAHimylF6sqVK7V///5q3Xrbt2+v3bt3a/PmzdX+pkOHDtW2lZWV6ayzzopanIgepvsGACC+RLLcGUujmYP7M1iFKUVqcXGxJKlNmzYB2xMTEyVJO3aEvhD9+OOP2rVrl0aNGlXrfmlpaerYsWO1f9OmTatj9Kgvuz8d5QIOhMb3pLpp06YFzUdpaWmGvxa5D1YUySQ1TGgTe3a/P4M11TX3mboETfPmzQN+Li8vlyQ1btw45N/ec889euKJJ5SUlFTrfgUFBSH3QWzZebrvygv49tIDmru8UM8Pz7RN7ECs8D0JLjc3V7m5udW2l5SUKDnZ2PND7oMVRTJJDRPaxJ6d789gXXXNfaa0pHbs2FGStGfPnoDtpaWlkqR27Wp/Wvb222/r6KOP1pAhQ6ISH6LLzk9H6X4EhBat7wmts4D9RbLcGUujxZad78/gPKa0pKalpalp06ZV3X4rFRUVKTU1VZ06darxb7/99lu9++67mjlzZrTDRJTY+elodnqK5i4v1PbSA1zAgRpE43tC6ywARJed78/gPKYUqcnJyRo0aJCWLVsWsH316tUaNmxYjX+3YcMGPfnkk5o5c6YaNPijEXj79u1KSUmJWrwwnl2n+7biBZwp+mE10fie0A0N8YZrO8xg1/szOI9pY1InTZqkzMxMbdq0SV26dNGSJUvk8/k0YcIESdLYsWNVXFys1157TZL03Xff6ZprrtHEiRO1aNEiSdKBAwc0f/58/e1vf6NIRcxY6QJO6xKsyujvCb0YEE+4tgOId6YVqT169NCCBQt02223qWvXriouLtbSpUvVunVrSYe6/hYWFkqSfvjhB5111lnauXOnLrvssoDjnHjiiTrllFNiHj9gBbQuIV5YsRcDEC1c2wHEO1Nn9z3jjDN0xhlnBP3d66+/XvW/u3btGtayNEC8oXUJ8cRKvRiAaOLaDiDemVqkAvEkGuOLaF0CAOeJl2s7425hd3yGo8fl9/v9ZgcRDZVr73i9XtaKg+kOH1+UktiE8UUAqhiZr8h9sAvyIuyOz3D9hMpXpqyTCnthbcL6Y31VAAD+EM95kfsqZ4jnz3AsUKSiVpVPiaYv2qgRs1dwQa0jFsgGAOAP8ZoXua9yjnj9DMcKY1JRK2YYNEa8jC8CACAc8ZoXua9yjnj9DMcKRSpqxQyDxmFm0sgwGQEAs3D9iY14zIvcVzlLPH6GY4WJkxBSfpGXp0SIKSYjQDxh4iRr4fqDaOO+CgidrxzfkpqTk6OEhAS53W653W6zw7ElnhIh1ugOhXjg8Xjk8Xjk8/kMPza5r+6cfP2hhdgauK9CPAs399GSCsByaMlAPKEl1VqMvP5YqSjkugrASuK+JRX2Z6Ukj9hgMgIAZjHq+nN4UTh3eaHpRaGTW4gBOA9FKizNakkesUN3KHPwUAgw5vpjtaKQCXsA2AnrpMLSWCgZsRTvC6ybsX5fvJ9zOJfV1lCsbCEen9WdB76IC+QXe6MlFZbGk1/ECq32sW/54ZzDyaw4bIEeKogX5Bf7oyUV9RLtp1Q8+UWs0Gof+5YfzjmcrmdqssZldSN3ATFGfrE/ilTUWay6BpLkEQtW65pnhlg/FOKcAwCigfxif3T3RZ1ZbVIIoD6s2DXPDLHsDsg5BwBEg53zCxMYHkKRijpjvCichvFasWfGOecGIHY414Bx+D5Fxo45nbG0f6BIRZ3Z+SkVgPjEDUDscK4B4/B9ig/0UvwDY1JRL4wXBWAnTKYRO5xrwDh8n+IDY2n/QJEKIGZYswxm4wYgdjjXgHH4PsUHVrX4g8vv9/vNDiIaSkpKlJycLK/Xq6SkJLPDAeLe4V2VUhKbxP3FF+bJL/JaapiCkfnKarnPaucasDO+T3CSUPmKMakAYsJu4yyYoMK57DiZhl1xrgHj8H1CPHF8kZqTk6OEhAS53W653W6zwwHilp1mg2aCCsSCx+ORx+ORz+cz/NjkPgCAFYWb++juCyBm7NJVaXreBk1ftLHq5/FZ3TUuq5uJEcHJnNzdFwCAYOjuC8Ay7NJVyU6tvgAAAE5DkQoAR2ANYAAAAPNQpAJAEHZp9QUAAHAa1kkFAABRxzrJAIBwUaQCAICoqpwxe/qijRoxewWFKgCgVhSpsBwrPG03OwazXx8AjBRsnWQAAGpCkQpLscLTdiNjqEuxaYVzAABGyk5PUUpiE0lixmwAQEgUqbAUKzxtNyqGuhabVjgHAGCkyhmzx2d11/PDM5mUDIAt0dMtdihSYSlWeNpuVAx1LTatcA4AwGg9U5M1LqsbBSoAW6KnW2yxBA0sxQrrUxoVQ3Z6iuYuL9T20gMRFZtWOAcAAAD4Q7DGB+7RoociFZZjhfUpjYihPsWmFc4BACBy+UVe5a3fruz0FK7jgIPUtfEBdUORCkQRxSYAxI/K7oDbSw9o7vJCxt+iXnjgYS30dIstilTYGhdwAIBV0B0QRuGBh7GMul+k8SF2mDgJtsUAdgCAlTDxnTU4YQZWZvo3DveL9uT4ltScnBwlJCTI7XbL7XabHQ4MxBNrAHbm8Xjk8Xjk8/kMP7bdcl+oVg679JqhO6D5nNICyfhH43C/aC3h5j6X3+/3xyimmCopKVFycrK8Xq+SkpLMDgdRcHgiSklsYttEBCC+GZmv7Jj7Ql3LudYjEtPzNmj6oo1VP4/P6q5xWd1MjKju8ou8dX7gYZcHO7HANcSaQuUrx7ekwrl4Yg0A9heqlYNWEETCSS2QdR3/6JTWZKNwv2hPFKmwNQawA4C9hSoqnFR0IPooSHiwEwz3i/ZDkQoAAEwTqqig6ECk4r0g4cEOnIAiFQAsijFFiBehiop4LzqASPBgJ344+T6BIhUALIgxRQCAuuLBjvM5/T6BdVIBwIJYIw8AANTE6fcJFKkAYEHZ6SlKSWwiSYwpAgAAAZx+n2Bqd99169ZpypQp6tChg7Zt26YHHnhAPXr0qHF/r9ersWPHqkWLFtqxY4eGDx+uiy66KIYRIx45ub8/rIsxRQAARIcT7u2cfp9gWpG6detWDRw4UAsWLFBGRoaWLl2qAQMGaM2aNWrbtm21/cvLy3Xuuedq6NChys3N1e7du3XCCSfo3//+twYMGBD7N4C44PT+/nXlhIt7rNTnXDGmCAAAYznp3s7J9wmmdfedOHGiOnfurIyMDEnSWWedpZYtW+ree+8Nuv/zzz+vb775Rtdff70k6aijjtIll1yim2++OWYxI/44vb9/XVRe3Kcv2qgRs1cov8hrdkiWxbkCAMBauLezB1OK1L1792r+/PlVBWqljIwMzZkzR36/v9rfvPLKK+revbsSExMD9l+3bp1Wr14d7ZARp5ze378uuLiHj3MFAIC1cG9nD6YUqStXrtT+/furdett3769du/erc2bNwds9/v9+uKLL4LuL0nffPNNdANG3Krs7z8+q7utu4MYiYt7+DhXAABYC/d29mDKmNTi4mJJUps2bQK2V7aS7tixQ126dKnavmvXLvl8vlr3B6LFyf3968LpA/WNxLkCAMB6uLezPlNn923evHnAz+Xl5ZKkxo0bG7K/JKWlpcnlclXbnpubq9zc3IjiBXAIF/fwca5Qadq0aZo2bVq17cGGuNQXuQ8AYAV1zX2mFKkdO3aUJO3Zsydge2lpqSSpXbvALnFHH320mjZtGvb+hysoKFBSUlI9IwYAoH5qKhBLSkqUnGzsgwxyHwDACuqa+0wZk5qWlqamTZtWdfutVFRUpNTUVHXq1Kna35x88slB95ek008/PXrBAgAAAABixpQiNTk5WYMGDdKyZcsCtq9evVrDhg0L+jcjRozQt99+W9V6Wrl/RkaGunbtGtV4AQAAAACxYdo6qZMmTVJBQYE2bdokSVqyZIl8Pp8mTJggSRo7dqyGDBlStf/VV1+tHj166PXXX5d0aDKl999/X9OnT4957AAAAACA6DBt4qQePXpowYIFuu2229S1a1cVFxdr6dKlat26taRDXXkLCwur9m/atKk+/PBD/e1vf9O6dev0yy+/aM6cOerfv79ZbwEAAAAAYDCXPxrTClpA5WBcr9fL5BEAAMsyMl+R+wAAdhAqX5nW3RcAAAAAgCNRpAIAAAAALIMiFQAAAABgGRSpAAAAAADLoEgFAAAAAFgGRSoAAAAAwDIoUgEAAAAAlkGRCgAAAACwjEZmBxBtOTk5SkhIkNvtltvtNjscAAAkSR6PRx6PRz6fz/Bjk/sAAFYUbu5z+f1+f4xiiqmSkhIlJyfL6/UqKSnJ7HAAAAjKyHxF7gMA2EGofEV3XwAAAACAZVCkAgAAAAAsgyIVAAAAAGAZFKkAAAAAAMugSAUAAAAAWAZFKgAAAADAMihSY2jatGlmh2BZnJuacW5qx/mpGeemZpyb2OFc14xzUzPOTc04N7Xj/NTMTueGdVJjqGPHjvr555/NDsOSODc149zUjvNTM85Nzax0bpy+TqqVzrXVcG5qxrmpGeemdpyfmlnp3LBOKgAAAADANihSAQAAAACWQZEaBo/HY3YIAYyIx6j35MRzY8XjGMFq74lzE/3jGIVrTs2sFo+RrPTerPb5sdK5kaz1vjg3sTmOEaz2nqx0biRrfR+ceG5CoUgNgxM/GHxp7HUcI1jtPXFuon8co3DNqZnV4jGSld6b1T4/Vjo3krXeF+cmNscxgtXek5XOjWSt74MTz00ojaL+CiapnA+qpKSk3sfy+XyGHMfv91smHqPekxPPjdWOw7mpnRHnx2rvyUrnxqh4ODc1q/x7I+YxdGrus9rnx0rnxsh4rPRdd+K5Meo4nJvaWen8cG5qFir3OXZ2359//lmdOnUyOwwAAMLy008/qWPHjvU6BrkPAGAnNeU+xxapFRUV2rZtmxITE+VyucwOBwCAoPx+v0pLS9WhQwc1aFC/UTjkPgCAHYTKfY4tUgEAAAAA9sPESQAAAAAAy6BIBQAAAABYBkVqDKxbt06DBw/W2LFjNXjwYH3//fdmh2QJBw8e1MSJE9WpUye1bt1al156qTZv3mx2WJZ0zTXXaPjw4WaHYUkbNmxQbm6uHnroIb3yyitmh2MJzz77rG688Ubdf//9uu666zRnzhyzQzKF3++Xx+NR79699eOPP1b7/fz58zV48GDdcMMNuu666wyZ8RB/IPcFR+4LH7mvZuS+QOS9Pzgm9/kRVT/++KO/bdu2/hUrVvj9fr//k08+8bdv396/Y8cOkyMzX25urn/EiBH+uXPn+u+8805/kyZN/Mcee6x/9+7dZodmKW+99ZZfkj8nJ8fsUCznueee8w8YMMBfVFRkdiiW8corr/jPPffcqp/Lysr8aWlp/nfffdfEqMzx73//23/RRRf5Jfm3bNkS8Ls333zT37FjR39paanf7/f777nnHn9WVpa/oqLChEidh9xXM3JfeMh9NSP3BSLvBXJK7qMlNcomTpyozp07KyMjQ5J01llnqWXLlrr33ntNjsxc+/fvV3Jysp577jn97//+r+6//349/fTTKiws1Jtvvml2eJbx22+/6emnn9bpp59udiiWM2vWLD366KN6++231aFDB7PDsQyPx6MuXbpU/dywYUP17t1bH3zwgYlRmWPIkCG64YYbqm33+XwaN26chg0bppYtW0qSrr32Wn300UeaP39+rMN0JHJfcOS+8JD7akbuq468F8gpuY8iNYr27t2r+fPnVyXpShkZGZozZ44hC7fblc/nU25ubsC2yy+/XJK0a9cuM0KypPHjx2vq1Klq3Lix2aFYSkFBgcaMGaMZM2YoMTHR7HAspV27dpo7d642bdokSTpw4IC++uornXPOOSZHZo5mzZpV2/bpp59q69atAdfm1NRUtW/fXi+//HIsw3Mkcl/NyH3hIfcFR+4LjrxXnRNyH0VqFK1cuVL79+9X27ZtA7a3b99eu3fvjusxKImJiVVPcSqVlZVJOvTEHYfGDHTv3l0nnXSS2aFYzt13362OHTtq7dq1uvLKK9W3b19NnTpVFRUVZodmuttvv10NGjTQmWeeqc8++0yjRo3S6NGjdemll5odmimCrRX62WefSVLQa/M333wTk7icjNxXM3JfaOS+mpH7giPvVeeE3EeRGkXFxcWSpDZt2gRsr3z6tWPHjpjHZGXvvfeezj//fGVmZpodiul+/fVXPf/887rjjjvMDsVy9u7dq/fee0/HHXecLrvsMs2ZM0c33XSTbr/9dk2cONHs8EzXpUsXLV68WC6XS2eccYbatGmj22+/3eywLKW2azPX5foj90WG3PcHcl/NyH01I++Fx265jyI1Bpo3bx7wc3l5uSTRjeUwBw8e1NNPP60nn3zS7FAsITc3V48++qgaNmxodiiWs3nzZu3fv1+XXXaZOnbsKEm6+uqrlZmZqWnTpun33383OULz7dixQ1lZWTr11FM1bdq0uL+BqUmwazPXZeOQ+0Ij9wUi99WM3Fc78l747JL7KFKjqPIismfPnoDtpaWlkg71occhd955p+666y5169bN7FBMN2/ePJ188sk64YQTzA7Fkiq/P0eOx7ngggvk8/m0ceNGM8KyjM8++0w33HCDnnnmGS1btkznnXeeHnroIUuONzFLbddmrsv1R+4LH7nvD+S+2pH7akbeC4/dch9FahSlpaWpadOmVc3rlYqKipSamqpOnTqZFJm1zJ49W507d9Yll1xidiiW8M9//lO33HKLXC5X1b9PPvlEL774olwul5YsWWJ2iKY69thjJUk7d+4M2H7MMcdIko4++uiYx2QlkyZN0vnnn6/mzZurefPmeuONN9S7d28988wzZodmGaeccookBb02M5to/ZH7wkPuC0Tuqx25r2bkvfDYLfdRpEZRcnKyBg0apGXLlgVsX716tYYNG2ZSVNYyf/58bd++XWPGjKnaVlpaGtfdVmbNmqVVq1YF/OvTp48uvvhirVq1qtqMmfEmNTVVmZmZ+uSTTwK2//rrr+rZs6dSU1NNiswa9uzZE9Btp1mzZrruuuviekbVI2VnZ6tTp04B1+affvpJv/32G9dmA5D7QiP3VUfuqx25r2bkvfDYLfdRpEbZpEmTVFBQUDUt9pIlS+Tz+TRhwgSTIzPf66+/rpkzZ+qkk07SwoULtXDhQv373//WlVdeacm+8bHStWtXnXzyyQH/WrZsqdatW1f973g3ffp0LV68WGvXrpV0aFmH1157TVOnTg06o108GT58uN577z0dPHiwatu6des0YsQIE6Myj8/nk/THDKqS1KBBAz3wwAOaP39+1e+fe+45XXjhhbrwwgtNidNpyH01I/cFR+4LjdwXHHmvOifkvkZmB+B0PXr00IIFC3Tbbbepa9euKi4u1tKlS9W6dWuzQzPV/PnzNXToUJWXlysvLy/gdzfddJMSEhJMigx28Oc//1nvvPOO7rjjDvXr108//fSTpkyZogsuuMDs0Ex30003af/+/Ro6dKj69u2rAwcOKCMjQ9dff73ZocXc4sWLNWPGDEnS1KlTdf3111fNoHr11Vdr3759uuaaa9SuXTu5XC55PB4zw3UUcl9w5D7UB7kvOPJeIKfkPpeftnAAAAAAgEXQ3RcAAAAAYBkUqQAAAAAAy6BIBQAAAABYBkUqAAAAAMAyKFIBAAAAAJZBkQoAAAAAsAyKVAAAAACAZVCkAoipUEszs3QzAMBpyH1AZChSAZuaPXu2GjVqpP79++v8889Xr1695HK51K9fP51//vnKzMxUgwYNNHv2bElSr169NHbsWFNjXrlypZ555pla99myZYsef/xx7d+/P0ZRAQDsgtwHxAeKVMDGXnvtNX322WdauHChbrnlFknSo48+qoULF2rFihV65ZVXqvbNyspSnz59zApVH330kd5++23deOONte53/PHHa8iQIbriiiu0d+/eGEUHALALch/gfI3MDgBA3XTq1EnnnHNOrfsMGzZMixcvliQ9/vjjsQgrqK1bt+r222/XV199Fdb+qampuuKKK3Tttddq7ty5UY4OAGAX5D4gPtCSCthUqCQtSS6XK6z9oi03N1dDhw5Vo0bhPxcbPHiwvv76a3388cdRjAwAYCfkPiA+UKQCDldeXq633npLF154oa699lpJUnFxse6//3796U9/0g8//KA777xTbdu21bHHHquFCxdq165d+t///V+1aNFC6enpWr9+fdXx/H6/pk+frnHjxun8889XRkaGFi1aVOPrb9q0SfPnz9d5550XsP3XX3/VTTfdpClTpig7O1sul0v//e9/A/Y555xz9Mgjjxh4NgAA8YDcB9gbRSrgcOXl5erQoYMWLVqk8vJySVJFRYVcLpcKCwv13HPPye12a926derUqZNGjhypGTNmaMqUKfr222/l9Xp1xx13VB1v0qRJSk1N1RNPPKGFCxfq9NNP18UXX6wtW7YEff0333xTDRs21AknnBCwfdKkScrOztaUKVOUl5enCy64oNrfpqWl6eOPP1ZpaamBZwQA4HTkPsDeGJMKOFzjxo2VmZmpo48+umpbhw4d1LdvX0nSqFGj1LlzZ0nSlVdeqTFjxujuu++u2vess87SN998I0nau3evHnvsMeXm5io/P1+S5PP5dNppp2njxo067rjjqr3+ypUr1aZNGzVp0iRg+7Zt2/Too4+qT58+6tixo+666y4lJCQE7NOpUycdPHhQa9asUf/+/et/MgAAcYHcB9gbRSoQJ44cExNsjEzz5s2rbWvSpIkOHjwoSVq/fr327dunMWPG6JhjjgnrdXfu3KkWLVpU237HHXfooosuUteuXXX11Vdr0qRJ1ZJ5y5YtJR3qogUAQKTIfYA90d0XQNjKysokScuXL6/2u507dwb9m+bNm+vAgQPVtvfr108bNmzQmDFj9Morr6hXr15au3Zt0GM0bNiwHlEDAFB35D4g9ihSAYTthBNOUEJCgiZPnhyw4PjixYu1YcOGoH/TsWNH7dmzp9r2119/Xa1bt9Zjjz2mNWvWqGnTppo1a1bAPiUlJZKkY4891rg3AQBABMh9QOxRpAIOUbn4d02LgJeXl1dNHlH58+H/lQ5NKnH4f6VDMxpW7tOqVSvdeOON+vbbb9WvXz89+eSTmjJlimbOnKk///nPQV/3L3/5i/bu3atffvklYPvLL7+sNWvWSJK6deumvn37Vptg4ocfflBSUpJ69eoV+gQAAOIOuQ9wJopUwObKy8s1b948Pfvss5Kkxx57TG+//XbA759++mlt27ZNixcv1sKFC7Vx40bNnDlTkjRt2jRt3LhRn376qWbPni1Juu+++1RcXKx58+Zp8eLF2rZtm5566ikdPHhQjz32mO6++24VFxdr8uTJ+uGHH/Tss8/K5XIFje+8887TUUcdpVWrVgVs379/v/r3769Ro0ZpwoQJOvHEEzV69OiAfVauXKmhQ4dWm1QCABDfyH2As7n8fr/f7CAAONsjjzyirVu3asaMGWH/zYEDB9S5c2d9/vnnQWdOBADAysh9QN3Rkgog6m655RZt2bJF3333Xdh/M2PGDN11110kaQCALZH7gLqjSAUQdY0aNdKrr76qGTNmaNeuXSH3/+STT1RRUaExY8bEIDoAAIxH7gPqju6+AGKmrKxM7733ni699NIa99m6dat+/vlnFjAHADgCuQ+IHEUqAAAAAMAy6O4LAAAAALAMilQAAAAAgGVQpAIAAAAALIMiFQAAAABgGRSpAAAAAADLoEgFAAAAAFjG/w/Lk4n8SwlPfQAAAABJRU5ErkJggg==\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(1,2,sharey=True,figsize=(12,6))\n", "# old stuff\n", "ax[0].plot(x,y,'.',label='Trial 1')\n", "ax[0].legend(loc=1)\n", "ax[0].set_xlabel('Time (s)')\n", "ax[0].set_ylabel('Noise Fluctuations (arb)')\n", "ax[0].set_xlim(-1,11)\n", "ax[0].set_ylim(-0.1,1.2)\n", "ax[0].tick_params(which='major',axis='both',direction='in',length=6,top=True,right=True)\n", "XminorLocator = MultipleLocator(0.5)\n", "YminorLocator = MultipleLocator(0.05)\n", "ax[0].xaxis.set_minor_locator(XminorLocator)\n", "ax[0].yaxis.set_minor_locator(YminorLocator)\n", "ax[0].tick_params(which='minor',axis='both',direction='in',length=3,top=True,right=True)\n", "ax[1].plot(x,new_y,'.',label='Trial 2')\n", "ax[1].legend(loc=1)\n", "ax[1].set_xlabel('Time (s)')\n", "ax[1].set_xlim(-1,11)\n", "ax[1].set_ylim(-0.1,1.2)\n", "ax[1].tick_params(which='major',axis='both',direction='in',length=6,top=True,right=True)\n", "XminorLocator = MultipleLocator(0.5)\n", "YminorLocator = MultipleLocator(0.05)\n", "ax[1].xaxis.set_minor_locator(XminorLocator)\n", "ax[1].yaxis.set_minor_locator(YminorLocator)\n", "ax[1].tick_params(which='minor',axis='both',direction='in',length=3,top=True,right=True)\n", "\n", "# New stuff\n", "plt.subplots_adjust(left=None, bottom=None, right=None, top=None,\n", " wspace=0.04, hspace=None)\n", "plt.tight_layout()\n", "plt.show();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It's hard to tell in the notebook, but when you output your PDF or PNG plots (usually via plt.savefig(), you'll notice the whitespacing. This starts to matter when you're going to insert the plot into a scientific publication. \n", "\n", "At this point, it becomes difficult to know what to cover, since every plot is different — as such, learning how to search the matplotlib examples and documentation (as well as stack overflow and lots of other websites) becomes very important. As such, I've decided to just go through some of the plotting commands that I run into or use most frequently. \n", "\n", "## Alpha, zorder, and fill_between\n", "\n", "Here's a quick example that makes use of the \"alpha\" (transparency) parameter, the \"zorder\" (order of plotting things on top of one another), and \"fill_between\" option, which lets you shade regions between two lines on a plot. \n", "\n", "We'll start by inventing a dataset (so that this notebook doesn't need any extra data files)." ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "noise = np.random.normal(1,0.08,100) #mean 1, spread 0.5, 100 elements\n", "data_x = np.arange(0,100)\n", "data_y = np.linspace(25,36,100)*noise\n", "plt.plot(data_x,data_y,'.');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Notice that for convience of just viewing our data, I've reverted to the easiest plotting version. It's actually kind of incredible, looking at the end of the previous example, how many lines of code go into making one plot look just right. Sometimes the code to make my plot is longer than the code to generate the data going **into** the plot. \n", "\n", "What we appar to have here is a dataset that increases from around 25 to around 40, with some scatter. \n", "\n", "Let's do what anyone would do at first glance, and try to fit it with a linear polynomial:" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "image/png": 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0j5hzLQRBwNGjR+Hv749z585h8uTJuHbtGlq1alWt42jzkm2GESIiFeNTYzXL3+da7LyQrra5FgUFBdi1axcCAgKQmZmJWbNmYc+ePa88BqU6HG3MVNZ2TZoMyzBCRKRi2vwNVorU3VOVm5uLDRs2YOXKlahfvz7mz5+PCRMmoF69erX2O6tLrIBWEYYRIqJaoMpvsFQz6uqp+uOPP7Bq1SqEh4ejY8eOCA0NxdChQ+XqbWkKTRtK5ARWIiLSaqU9VfPc7GulByA5ORk+Pj5o3bo1UlNTERMTg7Nnz+L999/XyCACaN5kWPaMEBGR1lN1T5UgCIiPj4e/vz+OHz+OcePGITExER06dFDZ76hNmjaUyDBCRESkoNJy7f7+/mVPzN24cSOsra3Fblq1adJQIsMIERFRFZ4/f47IyEgEBQWhsLAQ8+bNw+TJk2FiYiJ20zRqVYyyGEaIiIgq8PDhQ4SFhSEsLAw2NjZYvnw5Ro4cCUNDQ7GbBkDzVsUoixNYiYiI/uHmzZv4+OOP0aJFC5w5cwY7duxAQkICxo4dqzFBBNCeEvEMI0RERP914cIFjBgxAo6OjpDJZDhz5gzi4uLg7u5eZbl2MWjaqhhlcZiGiEiDacN8AE1XUlKCmJgY+Pv749KlS5g6dSquX7+OFi1aiN20KmnaqhhlMYwQEWkobZkPoKny8/OxY8cOBAQE4PHjx5g9ezYOHDiAhg0bit20atGkVTHKYhghItJQmlYlU1vIZDKsW7cOq1atgomJCfz8/DBu3DgYGxuL3bRX6ErPGOeMEBFpKG2ZD6Ap7t+/Dz8/P9jZ2eHQoUNYs2YNkpOTMWXKFI0NIj6RFxF8/AZ8Ii8iKUMmdpNqDcMIEZGGqu0y5mJLypAhOO56rd9kf//9d3zwwQdo27Yt0tLScPToUZw+fRoeHh7Q19fc26C2rJRRhOb+FYiICI42Zpjj1k4rg0htfusXBAEnTpzAoEGD0KNHDxgbG+PKlSuIjo5Gz549Vfq7VOWf4UyXesY4Z4SIiNSuovkwNZ0jUVRUhH379sHf3x+3b9/Gxx9/jMjISFhZWan6FFSqosnK2rBSRhEMI0REpHbuHa2w80I6MvPyy77112T10LNnz7B582YEBQUBAHx9feHj44PXXnutNk9DZSoKZ9qwUkYRDCNERKR25X3rD467Xu3VQ1lZWVi9ejXCwsLQsmVL/Oc//4GXlxcMDKR1eysvnOkSaf21iIhIa/zzW391bsg3btxAYGAgtmzZgr59+2Lv3r3o16+fRlZJVYQuDcmUh2GEiIg0giI35HPnzsHf3x9HjhzByJEjcf78eXTq1EmE1qqergzJlIdhhIiINEZ5N+SSkhJ8//338Pf3x+XLl/Hhhx/ixo0bsLOzE6mVpGoMI0REpJFevnyJbdu2ITAwEDKZDHPnzsXhw4dhbm4udtNIxRhGiIhIozx58gRr165FSEgILCwssHDhQowZMwZGRkZiN41qCcMIERFphLt37yI4OBgbNmxA9+7dsWnTJgwaNEijq6SSavAvTEREokpMTMTYsWNhb2+P+/fv48SJE/jpp58wePBgBhEdwb8yERGpXFXPnREEAXFxcRgwYABcXV1hbm6O5ORk7N27Fz169KjRsUl6OExDREQqVVkl1cLCQuzZswcBAQG4d+8eZs6cie3bt8PS0rLGxybpYhghIiKVKq+0eQuzOti4cSNWrlwJAwMDzJ8/HxMnTkT9+vVrfGyGEenjMA0RkcRp2rDF35822xDPcPVgOOzs7LB9+3YEBATg+vXr+Pjjj6sdRP55bF0sm66t2DNCRCRhmjhs4Whjhn+/bY6v/rMCCScOo9k7/bF//3706dOnxuXadb1surZiGCEikjBNG7Y4c+YM/P39ERsbi9GjR2PjpV/h6Oio0t+hy2XTtRWHaYiIJEwThi2Ki4uxf/9+uLq64t1330X79u1x69YtREREqDyIkHZizwgRkYSJOWzx4sULREVFITAwEM+fP8e8efMQGxsLU1NTtbWBtAPDCBGRxKl72OLx48dYs2YNQkNDYWVlhSVLlmDUqFGoW7eu2tpA2kXhYZqioiIsXLgQ1tbWaNy4McaPHw+Z7H8zt3Nzc/HRRx/B2toaVlZWmDBhArKyshQ69qeffgo9Pb2yf++99171z4RIA2naKgeimrh9+zZmzZqF5s2b4+TJk4iKisKVK1cwYcIEBhGqEYV7Rj7//HM4ODggJiYG+/btw9dffw09PT1ERUUBAD788EM0a9YMq1atwpkzZxAWFobk5GScPXsWhoaGFR43OzsbCQkJ8Pf3L9v27rvv1uCUiDSDJq5yIFLGpUuX4O/vj/379+P9999HfHw8unfvLnazSIsoFEaKiorg4eFR9h9ft27dEB8fj4SEBADAnTt30K9fP0ybNg0A4O3tDTMzM3z55Zc4c+YM+vbtW+Gxg4OD8eWXX8LJyamGp0KkWTRtlQNRdQiCgKNHj8Lf3x/nzp3D5MmTce3aNbRq1UrsppEWUmiYxsDA4JUUbGlpiREjRgAA6tevjylTpsi97uXlBeCvscWK5OTkIDQ0FDNmzMAXX3yh8LAOkRRowioHqjldG2orKChAVFQUOnfujAkTJqBv375IT09HSEiITgYRXfv7i0Wppb137tyBmZkZFi1aBABo0qQJ6tSpI7dPUVER6tSpg169elV4nMTERPTr1w8PHz7EZ599hjfeeAOxsbHKNIlI45SucpjnZi/5IRpd/UAuHWoLPn4DPpEXtfr8c3NzERgYiDZt2uCLL77AjBkzcPfuXfz73/+GhYWF2M0ThS79/cVWrTCSnZ2N0NBQuLi4ID4+HufOnatw3yNHjmDq1KmwtraucJ++ffsiOjoaaWlpOHr0KIyNjTFs2DAkJydXp1lEGsvRxgxz3NpJPojo6gdyeUNt2iQpQ4blu37G5I/nws7ODt999x1WrVqFa9euYdq0aahXr57YTRSVtv/9NUm1woiJiQkGDx6MBQsW4OHDhxgyZIjcippSjx8/xoEDB/Dll18qfOwBAwbg5MmTMDQ0xOrVqyvd18HBAba2trC1tUVQUFB1ToGIqkmXP5C1eajt0Mnz6DvUG8vGvYPok+exOnI3fvnlF3h6er7S060KUuxd0+a/v6apVp0RQ0NDtG7dGn5+fmjTpg08PT1x6tQpeHh4yO03Z84cbNiwodpde61bt4aPjw+uXbtW6X4pKSksqkOkJu4drbDzQjoy8/J17gNZ256DIggCfv7557/KtR/9EcYOfdFsYggMG9sh26RNjZ8bUxGprizTtr+/JlO66NmwYcNgbm4OIyMjue1ffvklRowYofTqGHt7ezx9+lTZZhGRiun6B7I2PAeltFy7v78/rl+/junTp2P+8gB88sM9tYRMKa8s04a/vxQoHUaKi4thZGQEZ2fnsm2rV69GixYt5HpKHj58iEaNGinc7Xfp0qWyJcJEpBn4gSxNL168QGRkJAIDA1FYWIh58+Zh8uTJMDExAQBstrJWS8jU5d41UoyeIAhCVTs9efIE69evx7Bhw9C+fXsIgoDFixejefPm+OijjwAAISEhOHv2LD744AMAf3UHPnz4ED/88AN27twJAJg9ezYePHiAPXv2AABmzpyJpk2bwtfXF0ZGRli/fj3y8vKwYMGCctuRm5sLMzMzyGQyDtMQ1ZKkDBnikjPh3tGKAUSiHj16hLCwMKxevRo2NjZYsGABRo4cWWkBytqWlCHT2d41qvr+rVDPSE5ODrZs2YKlS5eiV69eaNOmDTw8PDB48GAAwKpVqzB37lwAwK5du+TeGxAQUPa/MzIykJ6eXvZzo0aNEBAQgJCQELi4uGD27Nlwc3Or9kkSkWpIdWyf/pKWloagoCBs3rwZb731Fnbs2AE3N7damwtSHexdE5emf8lQqGdEU7BnhKh2BcddR/DxG2U/z3Ozxxy3diK2SLvU1g3h4sWL8Pf3x8GDBzF8+HD4+fmha9euKjs+Sdvfv2RYmRiJ8iWjqvu3UkXPiEg7cSlj7VF1vZaSkhIcOXIEffv2Rb9+/dCsWTNcv34d27dvZxAhOVJYnq/0BFYi0j66vnKmNqlqRUl+fj527NiBgIAAPH78GLNnz8b+/fvRsGFDVTeZtIQUJhAzjBCRHI7t1w5FbwgVDeXIZDKsW7cOwcHBMDU1xfz58zF+/HgYGxur6xRIoqTwJYNzRoiI/qY2J/pVtaKkvLF9MyEPwcHBWL9+PTp16oQFCxZgyJAh0NfnKDtJh0pW0xAR6YLaXk1UVa/T34dy7qWlYtKkMFyJ/wGDBg1CbGwsXF1dVdaWmtD0lRkkPQwjRET/JXalUDeHJli36xDunNyF/Hu/4y3vMdh25Qrs7e3V1oaqcPk31Qb28xER/ZdYq4mKioqwe/duTBzmhj/2fYXeri44efEq9myL0KggAkhjZQZJD3tGiIj+S90T/Z49e4aIiAgEBQVBEATMmzcPPj4+aNCgQa3+3pqQwsoMkh5OYCWSACmO0UuxzeqSlZWF1atXIywsDC1btsSCBQswfPhwGBhI4/shS7tTdXECK5HESXGMXoptVocbN24gMDAQUVFR6NOnD/bu3Yt+/fppRLn26uDyb1I1zhkh0nBSHKOXYptr07lz5+Dl5YU33ngDz58/x7lz5/DDDz+gf//+kgsiRLWBYYRIw0mxRLsU26xqJSUlOHz4MN5++20MGDAArVq1wo0bNxAVFYVOnTqJ3TwijcI5I0QSIMUxeim2WRXy8/Oxbds2BAQEQCaTYe7cufjwww9hbm4udtOIRMM5I0RaQIpj9FJsc008efIE4eHhCAkJQaNGjbBw4UKMGTMGRkZGYjeNSOMxjBAR1UB6ejpWrlyJjRs3olu3bti4cSMGDRrEcu1E1cD/txARKeHy5csYN24c2rVrh/v37+PYsWP46aefMHjwYAYRomri/2OIiBQkCALi4uIwYMAA9OzZE6ampkhKSsLevXvh4uIidvOIJIthhIioCoWFhdixYwe6deuG0aNHw9XVFXfv3sWaNWvQtm1bpY+blCFDcNx1JGXIVNhaIunhnBEiogo8ffoUGzduxMqVK2FgYABfX19MmjQJ9evXr/GxWRiO6H8YRoiI/uHBgwcIDQ3F2rVr0bZtWwQEBMDT0xN16tRR2e8Q+wnBRJqEwzRERP+VmpqKqVOnolWrVkhMTER0dDTOnz+PESNGqDSIACwMR/R37BkhkiA+hE61zpw5A39/f8TGxmL06NG4ePEiXn/99Vr9nep+QjCRJmMYIZIYzjVQ3t9DnENTExw6dAgrVqxAUlISPvroI4SFhcHGxkZt7dG1wnBEFWEYIZIYzjVQTmmIe/AkD6vC1gK/f4/C/BeYO3cuYmNj+YgJIhExjBBJjHtHK+y8kI7MvHzONajEP4eyDpxLxfWjUcj97TDq1DPDCJ+PEfHFXNStW1fsphLpPD4oj0iCdPUhdIr6+1CWedETvP7kNKJ3bYOBVTvUc3ofLTr1RMSkHrx2RGrCB+URaSHONahcXHIm0m8kIfdCNO5e/wX6bw/Az/E/wdi6LUMckQZiGCEirSEIAn788Ufs+uJrZF24gNfecEPnOZux1XdoWfhgCCHSPAwjRCLjMt2aKywsxK5duxAQEIA///wTs2bNQmB4JH59UMReECIJYBghEhGX6dZMXl4eNmzYgJUrV8LY2Bh+fn6YMGEC6tWrBwDoVbulQohIRRhGiETEZbrK+fPPP7Fq1SqEh4fDwcEBq1atgoeHh8qrpBKRerAcPJGIWBK8epKTk+Hj44NWrVohOTkZ33//PX755ReVPzeGiNSLPSNEImJJ8KoJgoCff/4Z/v7+iIuLw7hx45CQkAAHBwexm0ZEKsIwQiQyLtMtX3FxMQ4cOIAVK1YgNTUV06dPx/r169G0aVOxm0ZEKsYwQkQa5cWLF4iMjERQUBDy8/Mxb948TJkyBSYmJmI3jYhqCcMIEWmER48eYc2aNQgNDYWNjQ2WLVuGkSNHwtDQUOymkY7gMnvxMIwQkajS0tIQFBSEiIgI9OrVCzt27ICbmxv09PTEbhrpEC6zFxdX0xCRKH799Vd4e3ujY8eOePLkCU6fPo0ff/wR7u7uDCKkduUtsyf1YRghompLypAhOO46kjJk1XqfIAiIiYlBv3790LdvXzRr1gypqanYvn07unbtWkutJaoal9mLS+EwUlRUhIULF8La2hqNGzfG+PHjIZPJfxDFx8fDy8sLM2fOxJgxY/Dnn39Wedx79+7B29sbs2bNgqenJ86dO1f9syAitSntzg4+fgM+kRcVCiQFBQWIjIxEp06d4OPjA3d3d9y7dw8rV65EixYt1NBqosqVLrOf52bPIRoRKDxn5PPPP4eDgwNiYmKwb98+fP3119DT00NUVBQA4OLFi/D09ERCQgLs7OwQFRUFd3d3XLp0CUZGRuUeMzc3F3369EFAQAA8PT1x69YtODk54ezZs+jQoYNqzpCIVKo6VWNlMhnWrVuHVatWwcTEBH5+fhg3bhyMjY3V2WQihXCZvXj0BEEQqtqpqKgIly9fRvfu3cu2vf3228jJycHvv/8OAOjVqxdsbGywZ88eAH89uMrMzAxffPEF5s+fX+5xFy9ejI0bNyIzM7Nsm7u7O4yNjXH48OFX9s/NzYWZmRlkMhlMTU2rd6ZEpBJ/n+hnZWJU7rfI+/fvY9WqVVi3bh06deqEBQsWYMiQIdDX58gwkS6q6v6t0CeDgYGBXBABAEtLS4wYMQIAcPv2bfzyyy9wcnIqe93Q0BCdO3fG1q1bKzzutm3bXjmuk5MTYmJikJ2drUjTiEjNKurOTsqQYeH6w/AYMRpt27bFzZs3ERsbi9OnT8PDw4NBhIgqpNSnw507d2BmZoZFixYBAM6cOQPgr4Dyd9bW1rh69Sry8/NfOcb9+/eRnp5e7ntKSkqQkJCgTNOISA0cbcwwx60dHG3MIAgCIvYcRq/+7giYMRxn7+RhX9wZ7N+/H66urpUeR9mJsESkXaoVRrKzsxEaGgoXFxfEx8eXTTZ98OABAMDCwkJufxMTExQXF5fby1HZewAgK6viZVUODg6wtbWFra0tgoKCqnMKRKQiRUVF2L17N5ydnTFzyngIFq1h89Em1H9nOm7mVz2MqsxEWCLSTtUqemZiYoLBgwcjPz8fn3/+OYYMGYI7d+6UvV6/fn25/YuLiwEAdevWrfCYyrwnJSWFc0aIRPLs2TNEREQgKCgIJSUl8PX1Rc+BXpi5N6VsHokiyyKrMxGWiLRbtcKIoaEhWrduDT8/P7Rp0waenp44deoUbG1tAQA5OTly++fl5cHAwAANGzZ85ViVvQcAmjThGm8iTZKVlYXVq1cjLCwMLVq0wFdffYURI0bAwOCvj5HNExtU6+nD7h2tsPNCerUCDBFpJ6XLwQ8bNgzm5uYwMjIqW4ZbOvRSKiMjAy4uLuVOXLOyskKzZs3KfU/dunXRrVs3ZZtGRCp08+ZNBAYGYsuWLejduzf27NmD/v37v1IltbrLIksnwlYnwBCRdlJ6entxcTGMjIzg7OyM9u3bw9XVFT///HPZ6wUFBUhJScHo0aPLfb+enh4mTpyI06dPy21PTEzE0KFD8dprrynbNCJSgfPnz8PLywuOjo54+vQpzp49i9jYWLzzzjsqK9f+94mwUsKJt0SqpVAYefLkCb799lukpqYC+Kuk82effYZly5aVTUD9+uuvcezYsbJhlx07dqB9+/b48MMPy47j5eUFX1/fsp/nzp0LADh16hSAv76BXblyBd98801Nz4uIlFBSUoLDhw+jd+/ecHNzQ8uWLXHz5k1s3boVnTt3Frt5GoETb4lUT6FhmpycHGzZsgVLly5Fr1690KZNG3h4eGDw4MFl+/Tp0webNm3C1KlT0bx5c8hkMhw7dkzu8d937tyR+0ZlaWmJEydOYMmSJYiJiUFGRgbi4uLQtm1bFZ6iduCjrak25efnY/v27QgICEBOTg7mzJmDQ4cOwdzcXOymaRxOvCVSPYUqsGoKXa3AqkjFS1IvbQmHOTk5CA8PR0hICBo2bAg/Pz+MGTOmwkc4EP//SKSMqu7fSk9gJfXhNzHN8veb0c4L6ZK8GaWnpyM4OBgbNmxAt27dsGHDBgwaNIhVUhXAibdEqsdPHgngo601S3nhUCouX76McePGoV27drh37x6OHz+On376CYMHD1ZLENGWiZ9iT7zVlutIVIphRAL4aGvNIrVwKAgCjh07hn/961/o2bMnTE1NkZSUhL1796JHjx5qawcnfqoGryNpIw7TSAQfba05pNJNX1RUhD179sDf3x/37t3DzJkzsW3btleeB6UuHG5UDV5H0kYMI6TzlJmMqsnh8OnTp9i0aRNWrlwJfX19zJ8/H5MmTXrl0QvqxoqrqsHrSNqIq2lIp2nTyojMzEyEhIRg7dq1aNu2LRYsWABPT0/UqVNH7KaVScqQaXyPkhTwOpLUcDUNUSW0ocs7NTUVgYGB2Lp1K/r374/o6Gj06dNHZVVSVUnTepSkukRb064jUU1xAispRFtn70ttMurf/fLLLxg2bBg6d+6MwsJC/Prrrzhy5Aj69u2rkUFE03AiKJHmYBihKmnzh7bUViqVlJTgwIED6NWrFwYNGgR7e3vcunULERERcHR0FLt5taY2wrCUl2gTaRsO01CVtGEoozJS6PJ++fIloqKiEBgYiGfPnmHu3LmIiYmBmZlmt1sVaqvIHCeCEmkOhhGqEj+0xZOdnY21a9ciNDQUlpaWWLx4MUaNGoW6deuK3TS1qa0wLJUl2rpOqvN6qHoYRqhK/NBWvzt37mDlypXYtGkTevTogYiICAwcOFAn54LUZhhWZa8Yb5qqpw2PXiDFMIyQQqQwlKENEhIS4O/vj+joaAwbNgw//fQTunfvLnazRCWFMMybZu3Q9iFi+h9OYCUSmSAIOHr0KNzc3PDWW2/BwsICycnJ2LVrV7WCiCKTPKW6KkrsZ8FUhZNha4eUV7tR9bBnhEgkhYWF2LVrFwICAvDnn39i1qxZ2L17NywsLKp9LEW+mfPbe+3hvKraIYVeMVINhhEiNUrKkOHwr7eQ/dsP2Lk5HMbGxpg/fz4++OAD1KtXT+njKtKdLZUubynOveBNs/ZwiFg3MIwQqcnJS9cwdt4yPLjwPeo3aY4vP/sas3zGqKRcuyLfzKXw7V3KvTe8aRIpj2GEJEsq36CTk5MREBCArdu2w7BFFzTx+jeMbB2h16q9yp4bo8g3cyl8e5dK7w0RqRYnsJIkJzVqelVYQRAQHx+PIUOGoFu3btDX18e+H3/GGxO/grHd67A2NVZ5z4Qikzw1fSIoJywS6Sb2jOi4irrFNb3XQVO/QRcXF+PAgQNYsWIFUlNTMX36dKxfvx5NmzYFALRpx6etVkYKvTdEpHoMIzquoiWJmj5ur2nzH168eIHIyEgEBQUhPz8f8+bNw5QpU2BiYiK3H+cVVI3XiEj3MIzouPJu6pra6/B3mvIN+tGjR1izZg1CQ0PRrFkzLF26FN7e3jA0NBSlPUREUsQwouMquqlrUq9DRcT8Bp2WloagoCBERETA1dUV27dvh7u7u06WayciqimGEXrlpq4pvQ6a6Ndff4W/vz8OHjwILy8vnD59Gl27dhW7WUREksYwIgJNnxwKcNz+7wRBwA8//AB/f39cvHgRU6dORWpqKlq0aCF204iItALDiJpJuaiTplNVyCs9Tt+2DXE5PgYBAQF4+PAhZs+ejejoaDRs2FCFrSYiIoYRNZPC5FApUlXIS8qQYUL4KaSdPoiFvx2GrWVDLPq/hRg3bhyMjY1roeWkKlLocSSi8rHomZqxqFPtUMVTU+/fv49Zc32RsGIMXtw4D3O3jzBrzWFMmTKFQUTDaXoRPCKqHMOImpVODp3nZs8hGhWqSci7evUqJk6ciLZt20L/aRY6TPwG1uNWoFW3PhjgaF1bTdYYUqzA+0+qCKNEJB4O04iAk0NVr7orgARBwKlTp+Dv74+TJ09iwoQJuHLlCuzt7ZGUoTtVUrVlDpOmFcEjouphGCGtoUjIKyoqQnR0NFasWIG0tDTMmDEDERERsLKyqtZxtIW2zGHicnQiaWMYIZ3w7NkzREREICgoCCUlJfD19YWPjw8aNGggdtNEpU09CroUIom0DcMIqZW6Vzw8fPgQq1evxurVq9GiRQt8/fXXGD58OAwM+J8+wB4FItIM/EQmtVHn/ISbN28iMDAQW7ZsQe/evbFnzx7079+f5drLwR4FIhIbV9OQ2qhjxcP58+fh5eUFR0dHPH36FGfPnkVsbCzeeecdBhEiIg3FMEK16u/LRmurxkpJSQkOHz6M3r17w83NDS1btsTNmzexdetWdO7cWSW/g4iIag+HaUhl/jkfpLxhGVXOT8jPz8f27dsREBCAJ0+eYM6cOTh48CDLtRMRSQzDCKlEecGjvGGZOW7tahxCcnJyEB4ejpCQEJibm8PPzw9jx46FkZGRKk6FiHQEHyGgORQepikoKMCiRYtgZ2eHRo0awcPDA2lpaWWvR0ZGQk9P75V/BgYGyMnJqfTYn376qdx73nvvPaVPiMRRXvBQ9bDMvXv3MH/+fNjZ2eGHH37A+vXrcfXqVfj4+DCIEOkwZaoI8xECmkXhnpFPP/0UOTk58Pf3x9WrVxEQEIB+/frh8uXLMDc3x44dO7BkyRLY2dlBX/+vjHPhwgXcvn0b5ubmFR43OzsbCQkJ8Pf3L9v27rvvKn9GGkZXknd59SpUtWz08uXLCAgIwN69ezFkyBAcP34cPXr0UPEZEJEUKbtKT1sK/mkLhcLIy5cvYWZmhsDAwLJtrVq1wpQpU3DgwAH069cPy5cvR8+ePeXe98svv2DkyJGVHjs4OBhffvklnJyclGi+ZtOWUtuKqCh4KLtsVBAEHD9+HP7+/vj5558xceJEXL16FW3btlV104lIwpQNFdpU8E8bKDRMU1hYCF9fX7ltXl5eAIDHjx+jRYsWrwSRwsJCHDlyBJ6enhUeNycnB6GhoZgxYwa++OILZGVp18OtNPHhXbX5UDRHG7MazwkpKirCjh070L17d4waNQo9e/bE3bt3sWbNGpUEEW14KBwR/Y+yw8F8aKlmUahnxMTE5JVtRUVFAIDevXuX+57jx4+jS5cusLCwqPC4iYmJ6NevHxITE/HZZ59h9erV2LJlCwYOHKhIszSeJiTvvw8TAdDYnpqnT59i06ZNWLlyJerUqQNfX19MmjQJ9evXV9nv0KWeKiJdUZPhYBb80xxKr6Y5cuQIBg4cCGdn53Jf37t3b5VDNH379kXfvn0BAD/++COmTp2KYcOG4bfffkPHjh0rfJ+Dg0NZAStfX99Xem00hdiltv95833HwUrjxkgfPHiA0NBQrF27Fm3atIG/vz88PT1Rp04dlf8ujhETaSeGCulTquhZQUEBwsLCEBISUu7rRUVFOHLkCN5//32FjzlgwACcPHkShoaGWL16daX7pqSk4P79+7h//77GBpFSqhi6UNY/b756QK0UHVNGamoqPvzwQ7Rq1QqJiYmIjo7GhQsXMGLEiFoJIoDy3blERFS7lOoZWbx4MZYsWYJ27dqV+/qJEyfQtWtXNGrUqFrHbd26NXx8fHDt2jVlmkX/8M9hojEuzTHGpbmoD0U7c+YM/P39ERsbi1GjRuHixYt4/fXX1fK7xe6pIiKi8lU7jERGRqJly5YYOnRohfsoMkRTEXt7ezx9+lSp95K8yla4qFNJSQkOHTpUtix82rRpCAsLg42NjVrbAbA7l4hIE1UrjERHRyMzMxOffPJJ2ba8vDzo6+vjtddeA/C/IZq/1w2pjkuXLmHatGlKvZdeJebN9+XLl4iKikJgYCCePn2KuXPnIiYmBmZmDANERPQ/CoeRffv2Yd26dfD19UVsbCwAQCaTYfv27di3b1/ZfidPnkTXrl3LLXQ2e/ZsPHjwAHv27AEAzJw5E02bNoWvry+MjIywfv16ODg4wMXFpYanRWLKzs7G2rVrERoaCktLSyxatAijR49G3bp1xW4aERFpIIXCSHR0NLy9vVFcXIy4uDi512bOnAlDQ8OynysbosnIyEB6enrZz40aNUJAQABCQkLg4uKC2bNnw83NTZnzIA1w9+5drFy5Ehs3bkSPHj0QERGBgQMHlq18IiIiKo+eIAiC2I1QVG5uLszMzCCTyWBqaip2c+i/Ssv579u3D++//z78/PyqVVFXV0rmExHpqqru30ot7SUSBAFHjx6Fm5sb3nrrLVhYWCAlJQW7du2qdhDhw6qIiHQbwwhVS2FhIbZt24YuXbpg/Pjx6NOnD9LT0xEaGorWrVtX+3iaWDK/PCwjT0RUe5SuwEq6JS8vDxs2bEBwcDCMjIzg5+eHCRMmoF69ejU6riaUzK+KusvIc9iKiHQNw4iEqeOm9ccffyAkJATh4eHo0KEDgoOD4eHhobIqqVIoRKbOMvJ8fg4R6SIO00hUbc+1SElJweTJk9G6dWskJyfj8OHDOHv2bK08N0bMkvmKUGcZeakMWxERqRLDiETVxk1LEATEx8djyJAh6Nq1K4C/VsocOnQIb7/9ts4u0VXno8b5/Bwi0kUcppEoVc61KC4uxoEDB7BixQqkpqZi+vTpWL9+PZo2barCFkubuirZSmHYiohI1VhnRMKSMmQ1umm9ePECkZGRCAoKQn5+PubNm4cpU6bAxMSkFlpLRES6qqr7N3tGJEzZb+uPHj3CmjVrsHr1ajRt2hRLly6Ft7e3XCVdIiIideGcERXS9FoUaWlpmDlzJlq0aIH4+Hhs27YNiYmJGDduHIMIERGJhmFERTS5kuivv/4Kb29vODg4IDs7Gz///DOOHTuGAQMGaOSkVE0PdUREpFoMIyqiaUsyBUFATEwM+vXrh759+6Jp06ZITU3Fjh070K1bN1HbVhlNDnVSw1BHRFLBMKIimrIks6CgAFu2bEGnTp3g4+MDd3d3pKenIzg4GC1bthSlTdWhaaFOqhjqiEhKOIFVRcRekimTybB+/XqsWrUKr732Gvz8/DB+/HgYGxurtR01JYXy8FKgzqqxREQ1xTCiQuqqRfF3GRkZWLVqFdatW4c33ngDYWFhGDJkCPT1pdnpJXao0xYMdUQkJQwjEnX16lUEBARg165dePfddxEbG4uePXuK3SyVECPUaRuGOiKSEoYRCREEAadOnYK/vz9OnjyJCRMm4MqVK7C3txe7aaSBGOqISCqk2ZevY4qKirBnzx706NEDXl5e6NatG+7cuYN169YxiBARkeSxZ0SDPX/+HBEREQgMDERJSQnmzZuHyZMno0GDBmI3jYiISGUYRjTQw4cPsXr1aoSFhaF58+b46quvMGLECBgY8M9FRETah8M0GuTmzZuYPn06WrRogXPnzmHXrl24dOkSRo8ezSBCRERai2FEA5w/fx7Dhw+Ho6Mjnj59irNnz+Lo0aNwc3PTyHLtREREqsSv2yIpKSnBkSNH4O/vj4SEBEydOhU3btxA8+bNxW4aERGRWjGMqFl+fj62b9+OgIAAPHnyBHPmzMHBgwfRsGFDsZtGREQkCoYRNcnJyUF4eDhCQkJgZmaGBQsWYOzYsTAyMhK7aURERKJiGKll9+7dQ3BwMNavX4+uXbti3bp1GDx4sGTLtVPFkjJkiEvOhHtHKxYbIyKqBt4Ra8mVK1cwfvx4tGvXDnfv3sWxY8cQHx8v6efGUMX4lFwiIuXxrqhCgiDg+PHjGDhwIN58802YmJjg6tWr+O677+Di4iJ286gWlfeUXCIiUgzDiAoUFRVh586d6N69O7y9veHi4oK7d+9izZo1aNu2rdjNIzVw72gFK5O/5v/wKblERNXDOSM18PTpU2zatAkrV66Evr4+5s+fj0mTJqF+/fpiN43UjE/JJSJSHsOIEh48eIDQ0FCsXbsWbdq0wYoVK+Dp6ckqqTqOT8klIlIOh2mqITU1FR9++CFatWqFhIQEREdH48KFCxg5ciSDCBERkZIYRhRw5swZDBs2DJ07d0ZBQQEuXryImJgY9O3bl+XaiYiIaohhpAIlJSU4cOAAevXqhUGDBqFdu3a4efMmIiMj8frrr4vdPCIiIq3BsYV/ePnyJaKiohAYGIinT59i7ty5iImJgZkZ5wIQERHVBoaR/8rOzsbatWsRGhqKxo0bY9GiRRg9ejTq1q1b4XtYcZOIiKjmGEYAHDt2DMOGDYOzszM2b96MQYMGVTkXpLTiZmZePnZeSMfmic4MJEREREpgGAHg5OSEU6dOwcnJSeH3lFdxk2GEiIio+hSewFpQUIBFixbBzs4OjRo1goeHB9LS0l7Zz9XVFXp6emX/AgICKj2uTCbDBx98gI8//hjDhw/H999/X/2zqCFzc/NqBRGAFTeJiIhURU8QBEGRHefPn4+cnBy4u7vj6tWrCAgIgJWVFS5fvgxzc3MAQFxcHLZu3YpOnTqVvW/atGkwMTEp95jFxcVwdXWFt7c3fH198eTJE3To0AG7d+9G3759X9k/NzcXZmZmkMlkMDU1rf7ZqlhShowVN4mIiKpQ1f1boWGaly9fwszMDIGBgWXbWrVqhSlTpuDAgQOYOHEiAGDdunWIiopSuBz65s2bcenSJRw7dgwA0LBhQwwdOhSzZs3C77//rtAxaosik1NZcZOIiKjmFBqmKSwshK+vr9w2Ly8vAMDjx48BACdPnsT333+P4cOHIzw8HIWFhVUed9u2bbC3t5frOXFycsLVq1eRmJio6DmoHB8HT0REpD4KhRETExM0aNBAbltRUREAoHfv3gCA5ORk9O/fH+fPn8f06dPx5ptv4ubNmxUeUxAEnD17FpaWlnLbra2tAQCXLl1S/CxUTBMeB5+UIUNw3HUGISIi0npKV2A9cuQIBg4cCGdnZwDAjBkzEBMTg6ysLKxevRpJSUkYNGgQ8vPzy33/48ePUVhYCAsLC7ntpb0kWVnqDwClxJ6cyp4ZIiLSJUqFkYKCAoSFhSEkJOSV1+rUqYMZM2Zg69atuHnzJg4ePFjpsf45v6S4uBgAKi025uDgAFtbW9ja2iIoKEiJM6hc6ePg57nZi1I/RBN6ZoiIiNRFqTojixcvxpIlS9CuXbsK9xkxYgQ6deqEW7dulft648aNYWxsjJycHLnteXl5AIAmTSrujUhJSan11TRiTk5172iFnRfSkZmXz2XDRESk9aodRiIjI9GyZUsMHTq0yn3t7e1ha2tb4etdunTBgwcP5LZlZGQAAHr27FndpmmN0p4ZLhuuOZbsJyLSfNUapomOjkZmZiZmzJhRti0vLw/Pnj17Zd/CwkJkZmZWGlp8fHxw+fLlst4QAEhMTISTkxPatm1bnaZpHUcbM8xxa8cbaA1w7g0RkTQoHEb27duH8PBwdO7cGbGxsYiNjcXu3bsxduxYFBUVYdiwYdi9ezcEQcCzZ88wf/58LF++XO5pt7Nnz8bIkSPLfh4/fjzat2+Pffv2AfhrUusPP/yA4OBg1Z2hBHDlTO3g3BsiImlQaJgmOjoa3t7eKC4uRlxcnNxrM2fOhLGxMYqLizFp0iQsWbIEPXv2xNKlS9GmTRu5fTMyMpCenl72s7GxMX788UfMnTsXV69exZ9//ont27ejV69eKjg1aeAD92oP594QEUmDwuXgNYGmlYNXheC46wg+fqPs53lu9pjjVvHE4MpwfsSrWLKfiEh8KikHT7VHVd/e2cNSPpbsJyLSfAwjIlPVypny5kfwJkxERFLAMKIBVPHtnfMjiIhIqhhGtARrkxARkVQxjGgRzo8gospwkjtpKqUflEdERNLBIoCkyRhGiIh0AIsAkiZjGCEi0gHuHa1gZWIEAJzkThqHc0aIiHQAJ7mTJmMYISLSEZzkTpqKwzREREQkKoYRIiIiEhXDCBEREYmKYYSIiIhExTBCREREomIYISIiIlExjBAREZGoGEaIiIhIVAwjREREJCqGESIiIhIVwwgRERGJimGEiIiIRMUwAiApQ4bguOtIypCJ3RQiIiKdo/NhJClDBp/Iiwg+fgM+kRcZSIiIiNRM58NIXHImMvPyAQCZefk4lpIlcouIiIh0i86HEfeOVrAyMQIAWJkYwc2hicgtovJwKI2ISHvpCYIgiN0IReXm5sLMzAwymQympqYqO25ShgzHUrLg5tAEjjZmKjsuqUbpUFpmXj6sTIyweaIz/05ERBJS1f3bQIQ2aRxHGzPe3DRYeUNp/HsREWkPnR+mIc3HoTQiIu3GnhHSeI42Ztg80ZlDaUREWophhCSBQ2lERNqLwzREREQkKoYRIiIiEhXDCBEREYmKYYSIiIhExTBCREREomIYISIiIlExjBAREZGoFAojBQUFWLRoEezs7NCoUSN4eHggLS1N4dcrs27dOujp6ZX9e+ONNyChx+UQERFRDSn0oLz58+cjJycH7u7uuHr1KgICAmBlZYXLly/D3Ny8ytcrUlhYiKFDh+Kdd94p29arVy/07Nmz3P1r60F5REREVHtq/KC8ly9fwszMDIGBgWXbWrVqhSlTpuDAgQMYNWpUpa9PnDixwmNHRUVh8uTJGD58eDVPi4iIiLRFlcM0hYWF8PX1ldvm5eUFAHj8+HGVr1ekqKgI33zzDZYvX45PP/0Ut2/frnbjiYiISPqqDCMmJiZo0KCB3LaioiIAQO/evat8vSLXrl1D586dUVJSgv/85z/o1KkToqKiqn0CREREJG1KraY5cuQIBg4cCGdnZ6VeB4DXX38d+/btQ1JSEi5cuIBWrVph4sSJOHbsmDJNIiIiIomqdhgpKChAWFgYQkJClHq9PM7Ozjh58iRsbW0RFBRU5f4ODg6wtbVVeH8iIiLSXFVOYP2nxYsXY8mSJWjXrp1Sr1fEwsIC8+bNQ3h4eJX7pqSkcDUNERGRlqhWz0hkZCRatmyJoUOHKvV6Vezt7WFra6vUe4mIiEiaFA4j0dHRyMzMxIwZM8q25eXl4dmzZwq9rojz589j+vTpCu+vTkkZMgTHXUdShkzsphAREWkVhcLIvn37EB4ejs6dOyM2NhaxsbHYvXs3xo4di7p161b5OgCsWLEC/fv3R0FBAQDgiy++wIIFC5CTkwPgrzDz/Plzjaw5kpQhg0/kRQQfvwGfyIsMJERERCpU5ZyR6OhoeHt7o7i4GHFxcXKvzZw5E4cPH670dUNDQwDAgwcPkJaWhqKiItStWxeWlpYIDQ3Fhg0b4OLiAh8fHwQEBKjw1FQnLjkTmXn5AIDMvHwcS8mCo42ZyK0iIiLSDgqVg9cUYpWDL+0ZyczLh5WJETZPdGYYISIiUlCNy8ET4Ghjhs0TnXEsJQtuDk0YRIiIiFSIYURBjjZmDCFERES1QKkKrERERESqwjBCREREomIYISIiIlExjBAREZGoGEaIiIhIVAwjREREJCqGESIiIhIVwwgpjQ8PJCIiVWAYIaXw4YFERKQqDCOklPIeHkhERKQMhhFSintHK1iZGAEArEyM4ObQROQWERGRVPHZNKQUPjyQiIhUhWGElMaHBxIRkSpwmIaIiIhExTBCREREomIYISIiIlExjBAREZGoGEaIiIhIVAwjREREJCqGESIiIhIVwwgRERGJimGEiIiIRMUwQkRERKJiGPmvoKAgsZugM3it1YfXWr14vdWH11p91HGt9QRBEGr9t6hIbm4uzMzMIJPJYGpqqtJj29ra4v79+yo9JpWP11p9eK3Vi9dbfXit1UcV17qq+zd7RoiIiEhUknpqb2knTm5ubq0cuzaOS6/itVYfXmv14vVWH15r9VHFtS59f0WDMZIaprl//z7s7OzEbgYREREp4d69e7C1tX1lu6TCSElJCf744w+YmJhAT09P7OYQERGRAgRBQF5eHpo1awZ9/VdniEgqjBAREZH24QRWIiIiEpWkJrDWhqtXr2LZsmVo1qwZ/vjjD3z11Vdo37692M2SvIKCAixbtgxbt27Fs2fP8Pbbb2PlypVo3bp12T689rVjwoQJ0NfXR2RkZNm2+Ph4rFq1Ck2bNkV2djYCAwPRtGlT8RqpBa5fv47w8HBYWlrCzs4O48aNA8BrrUrr169HYmIimjVrhjt37qBfv34YO3Zs2eu81soRBAHfffcdvvjiCxw6dAgtW7aUez06Oho7duyApaUlCgsLERQU9Mpy3PDwcJw6dQoNGjSAqakpvv32WxgaGtaoUTrrzp07gqWlpXDx4kVBEAThp59+EqytrYWsrCyRWyZ9vr6+go+Pj7Bz505h8eLFgpGRkdC8eXPhyZMngiDw2teWgwcPCgCEDz74oGzbhQsXBAsLCyE9PV0QBEHYsmWL4OjoKLx8+VKkVkrfpk2bhL59+woZGRly23mtVWfbtm3CgAEDyn4uKioSHBwchO+//14QBF7rmti9e7fw3nvvCQCE27dvy7124MABwdbWVsjLyxMEQRCWL18uuLm5CSUlJWX7hIaGCl26dBGKiooEQRCESZMmCZMnT65Rm3Q6jIwZM0ZwdnaW29a2bVth5syZIrVIO7x48UJYvny53LaNGzcKAISIiAhBEHjta8Pjx4+FAQMGCD179pQLI66ursKIESPKfi4oKBDq1asnBAQEiNBK6Vu/fr3g4OAg5ObmvvIar7XqeHh4CNOnT5fb5u3tLcyaNUsQBF7rmjpy5MgrYaSgoEBo0aKFsGDBgrJt9+/fFwAI3333nSAIgvDo0SPBxMRECAsLK9vn9OnTAoCyL5fK0Nk5I8+fP0d0dDScnJzktjs5OWH79u0VroWmqhUWFsLX11dum5eXFwDg8ePHvPa1ZN68eVixYgXq1q1btu327dv45Zdf5K61oaEhOnfujK1bt4rRTElLSUnBjBkzsGbNGpiYmMi9xmutWk2aNMHOnTtx69YtAEB+fj7Onz+Pd955h9daBerVq/fKttOnT+Pu3bty19XGxgbW1tZl1/XQoUPIy8uT26dbt27Q19fHtm3blG6PzoaR3377DS9fvoSlpaXcdmtrazx58gRpaWkitUz6TExM0KBBA7ltRUVFAIDevXvz2teC6Oho2Nvbo3PnznLbz5w5AwDlXuurV68iPz9fbW3UBv/+979ha2uL33//HWPHjoWLiwtWrFiBkpISXmsV++STT6Cvr4+3334bZ86cwbRp0/DRRx/Bw8OD11oFyiuPUdl1vXTpUoX71KtXD6ampmX7KENnw8iDBw8AABYWFnLbS7/tZGVlqb1N2uzIkSMYOHAgnJ2dee1V7NGjR9i8eTP+7//+75XXKrvWxcXFyM7OVksbtcHz589x5MgRtGrVCu+//z62b9+OmTNn4pNPPsGiRYt4rVWsTZs2OHHiBPT09PDWW2/BwsICn3zyCQD+d11bKruupZ/LiuyjDJ0NI6Xq168v93NxcTEAyHV1U80UFBQgLCwMISEhctt57VXD19cXAQEBqFOnToX78FrXXFpaGl6+fIn333+/rILk+PHj4ezsjKCgIDx79gwAr7UqZWVlwc3NDd26dUNQUBAWLVok9zqvde0o77r+85oqsk916OzS3tIPk5ycHLnteXl5AP4aryTVWLx4MZYsWYJ27doB4LVXpV27dqFLly7o0KFDua9Xdq0NDAzQsGHD2m6i1ij97/Ofc0XeffddXLx4EUZGRgB4rVXlzJkzmD59Oq5cuQIA8PT0xDfffAMHBwf+d11LKruupZ/Lf9+ncePGcvtU9DmkCJ3tGXFwcICxsXFZl1OpjIwM2NjY8Bk4KhIZGYmWLVti6NChZdt47VVn3bp1mD9/PvT09Mr+/fTTT9iyZQv09PQgk8kAoNxr7eLiUm5ZZipf8+bNAQAPHz6U215a16Jnz54AeK1V5bPPPsPAgQNRv3591K9fH/v370enTp2wdu1adO3aFQCvtapVdl1L//sub5+8vDzk5eWV7aMMnf2LmZmZwdPTEz///LPc9sTERIwePVqkVmmX6OhoZGZmYsaMGWXbSr+58NqrxoYNG5CQkCD3r3v37hgyZAgSEhIwduxYuLq6yl3rgoICpKSk8FpXk42NDZydnfHTTz/JbX/06BEcHR3Ru3dvXmsVysnJkev2r1evHqZMmQJBENC+fXte61rg7u4OOzs7uet67949ZGdnl13XUaNGoX79+nL7JCYmQl9fH97e3sr/cqUXBWuBa9euCSYmJsLNmzcFQRCEkydPCnZ2dsLjx49Fbpn0fffdd4K7u7vwww8/lP3btWuXMGTIEKGgoIDXvhb16dNHrs7IqVOnhEaNGpUVnIuIiBC6dOkiFBQUiNNACTtz5oxQv3594cqVK4Ig/FWXoVOnTsKRI0cEQeC1VqWQkBDB3t5eyM/PL9v24YcfCuvXrxcEgde6pn788UcBgHDjxg257VFRUULbtm3LruPSpUuFwYMHy+3z+eefC3369Cn7+YMPPhBmzJhRo/bo7JwRAGjfvj1iYmKwYMECtG3bFg8ePEB8fDwaNWokdtMkLTo6Gt7e3iguLkZcXJzcazNnzoShoSGvvRr16dMHmzZtwtSpU9G8eXPIZDIcO3asZqWbdZSrqysOHz6M//u//8Obb76Je/fuYdmyZXj33XcB8Fqr0syZM/Hy5Ut4e3vDxcUF+fn5cHJywtSpUwHwWtfEiRMnsGbNGgDAihUrMHXqVDg7OwP4a1L2ixcvMGHCBDRp0gR6enrYu3ev3PuXLFkCAJg0aRKMjY3RsmVLfPbZZzVqE5/aS0RERKLS2TkjREREpBkYRoiIiEhUDCNEREQkKoYRIiIiEhXDCBEREYmKYYSIiIhExTBCREREomIYISIiIlExjBAREZGoGEaIiIhIVAwjREREJKr/BxO4p2mQHAagAAAAAElFTkSuQmCC\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fit = np.polyfit(data_x,data_y,1,cov=True) #linear\n", "best_fit_y = fit[0][0]*data_x + fit[0][1] #first index takes fit params, second specifies\n", "plt.plot(data_x,data_y,'.')\n", "plt.plot(data_x,best_fit_y,'k');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Is this a good fit to the data?\n", "\n", "Here, actually, we could easily descend into a Bayesian vs Frequentist debate. I'm not going to do that. What I am gonna do is show how we might plot some \"uncertainty\" over this fit line. \n", "\n", "Polyfit gives you a covariance matrix of parameter uncertainties, which we can access like this:" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[ 7.37676320e-05, -3.65149778e-03],\n", " [-3.65149778e-03, 2.42216020e-01]])" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" } ], "source": [ "covariance_matrix = fit[1]\n", "covariance_matrix" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The uncertainty on the slope and intercept, respectively, are given by the diagonals:\n" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Slope: 0.10179531806059092 | Intercept: 25.339776619358883\n", "Slope unc: 0.008588808532417424 | Intercept unc: 0.49215446731024304\n" ] } ], "source": [ "unc = np.sqrt(np.diag(covariance_matrix))\n", "print('Slope: {} | Intercept: {}'.format(fit[0][0],fit[0][1]))\n", "print('Slope unc: {} | Intercept unc: {}'.format(unc[0],unc[1]))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "So what I can do, for example, is overplot (faintly) a bunch of the other possible lines within the error of this fit:" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(data_x,data_y,'.')\n", "plt.plot(data_x,best_fit_y,'k')\n", "slope = fit[0][0]\n", "intercept = fit[0][1]\n", "slopes = np.linspace(slope-unc[0],slope+unc[0],5) #take 20 slopes in unc range\n", "intercepts = np.linspace(intercept-unc[1],intercept+unc[1],5) # take 20 intercepts in unc range\n", "for i in range(len(slopes)):\n", " plt.plot(data_x*slopes[i]+intercepts[i],alpha=0.4,color='gray');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We could actually give the impression of a shaded region quite easily just by upping the number of lines:" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(data_x,data_y,'.')\n", "plt.plot(data_x,best_fit_y,'k')\n", "slope = fit[0][0]\n", "intercept = fit[0][1]\n", "slopes = np.linspace(slope-unc[0],slope+unc[0],20) #take 20 slopes in unc range\n", "intercepts = np.linspace(intercept-unc[1],intercept+unc[1],20) # take 20 intercepts in unc range\n", "for i in range(len(slopes)):\n", " plt.plot(data_x*slopes[i]+intercepts[i],alpha=0.4,color='gray');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "What's a more formal (and memory saving) way to do this?\n", "\n", "We can calculate at each x-value the maximum and minimum allowed y value that is produced by lines within our errors we calculated above. We can easily set up a multidimensional array:" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[24.84762215, 24.94082866, 25.03403517, ..., 33.88865358,\n", " 33.98186009, 34.0750666 ],\n", " [24.89942789, 24.99353848, 25.08764907, ..., 34.02815557,\n", " 34.12226616, 34.21637675],\n", " [24.95123362, 25.0462483 , 25.14126298, ..., 34.16765755,\n", " 34.26267223, 34.35768691],\n", " ...,\n", " [25.72831962, 25.83689558, 25.94547153, ..., 36.26018739,\n", " 36.36876334, 36.4773393 ],\n", " [25.78012535, 25.88960539, 25.99908544, ..., 36.39968938,\n", " 36.50916942, 36.61864946],\n", " [25.83193109, 25.94231521, 26.05269934, ..., 36.53919137,\n", " 36.64957549, 36.75995962]])" ] }, "execution_count": 25, "metadata": {}, "output_type": "execute_result" } ], "source": [ "line_array = np.empty([20,100])\n", "for i in range(len(slopes)):\n", " line_array[i] = data_x*slopes[i]+intercepts[i]\n", "line_array" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "now, all we have to do is take the min and max at each x-value, looking down the vertical axis of this array:" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [], "source": [ "lower_edge = np.min(line_array,axis=0)\n", "upper_edge = np.max(line_array,axis=0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "which means we can now plot:" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 27, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(data_x,data_y,'.')\n", "plt.plot(data_x,best_fit_y,'k')\n", "slope = fit[0][0]\n", "intercept = fit[0][1]\n", "slopes = np.linspace(slope-unc[0],slope+unc[0],20) #take 20 slopes in unc range\n", "intercepts = np.linspace(intercept-unc[1],intercept+unc[1],20)\n", "plt.fill_between(data_x,lower_edge,upper_edge,color='gray',alpha=0.4)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It looks the same (which is a good thing, right?) and fill between actually colors in the space, rather than using individual lines, which if you are plotting many figures with many lines can reduce your filesize considerably. Let's make this plot look a little nicer:" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(10,6))\n", "ax.plot(data_x,data_y,'.')\n", "ax.plot(data_x,best_fit_y,'k',label='Best fit (degree 1)')\n", "slope = fit[0][0]\n", "intercept = fit[0][1]\n", "slopes = np.linspace(slope-unc[0],slope+unc[0],20) #take 20 slopes in unc range\n", "intercepts = np.linspace(intercept-unc[1],intercept+unc[1],20)\n", "ax.fill_between(data_x,lower_edge,upper_edge,color='gray',alpha=0.4,label='fit uncertainty')\n", "ax.legend(loc=2) #starts upper right, moves counter clockwise\n", "ax.tick_params(which='both',axis='both',direction='in',top=True,right=True)\n", "ax.tick_params(which='major',length=6)\n", "XminorLocator = MultipleLocator(2)\n", "YminorLocator = MultipleLocator(0.5)\n", "ax.xaxis.set_minor_locator(XminorLocator)\n", "ax.yaxis.set_minor_locator(YminorLocator)\n", "ax.set_xlim(0,99)\n", "plt.grid(alpha=0.2);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "If it wasn't implied, the \"alpha\" parameter moves between 0 and 1, 1 being pure color and 0 being fully transparent. \n", "\n", "The \"z-order\" of how things are plotted is determined, nominally, by the order you plot (subsequent lines of code get plotted over existing ones). If you want to take something you plotted earlier and move it to the top, you can add the optional \"zorder\" keyword to select a higher layer. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Just an aside... scientifically speaking, the covariance matrix here clearly hasn't caught all of our uncertainty. Here, we know how the data was generated, but in general, your error is at least as large as the scatter in your data, assuming no errorbars — on the other hand, if these points have large errorbars, this could be fully consistent. \n", "\n", "Just to give an example of errorbar plotting, let's say that the error on each point (symmetric in y, though it doesn't need to be), is 4 of whatever y units we are using. That would be:" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "yerrors = np.ones(len(data_x))*4.0\n", "fig, ax = plt.subplots(figsize=(10,6))\n", "#######################################\n", "ax.errorbar(data_x,data_y,yerr=yerrors,fmt='s',color='b',alpha=0.5)\n", "#######################################\n", "ax.plot(data_x,best_fit_y,'k',label='Best fit (degree 1)')\n", "slope = fit[0][0]\n", "intercept = fit[0][1]\n", "slopes = np.linspace(slope-unc[0],slope+unc[0],20) #take 20 slopes in unc range\n", "intercepts = np.linspace(intercept-unc[1],intercept+unc[1],20)\n", "ax.fill_between(data_x,lower_edge,upper_edge,color='gray',alpha=0.4,label='fit uncertainty')\n", "ax.legend(loc=2) #starts upper right, moves counter clockwise\n", "ax.tick_params(which='both',axis='both',direction='in',top=True,right=True)\n", "ax.tick_params(which='major',length=6)\n", "XminorLocator = MultipleLocator(2)\n", "YminorLocator = MultipleLocator(0.5)\n", "ax.xaxis.set_minor_locator(XminorLocator)\n", "ax.yaxis.set_minor_locator(YminorLocator)\n", "ax.set_xlim(0,99)\n", "plt.grid(alpha=0.2);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "All of a sudden, the fit doesn't look so awful! The only note I have for the change is that with ax.errorbar(), you can't shortcut the symbol type - you use fmt=\"s\" where in quotes is the symbol marker (s for square, o for circle, . for dots ^ for triangles, etc.)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Hopefully, this has covered some of the basics of making your plots look nice. As mentioned, there's lots of different types of plots and ways to do it, but I may make more guides as I go!" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Other fun examples, ala Schombert\n" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "plt.rc('text', usetex=True)\n", "\n", "x = np.linspace(-10,10,1001)\n", "for n in range(1,5):\n", " y = x**n * np.sin(x)\n", " y /= max(y)\n", " plt.plot(x,y, label=r'$x^{}\\sin x$'.format(n))\n", "plt.legend(loc='lower center')\n", "plt.show();" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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CJBLhl7/8Jb74xS8u2BuyrKwMy5Ytg1arxcqVKxdUTeBRZzFzaS4Furu7odFo0N7ejhMnTiy4v7KyMvzoRz9Ce3s7/uM//gMvvvjiI+n9a2cmdoX3mDM4OIgf/vCHSE9Px6uvvorvfOc7C0rUK5fLodVqUVhYiF27dlkt8fBSh3a1hEcFlUqFGzduYOfOnSCEmF1SCZiyPqSnp+N73/se/P398fbbb2PLli0WlNaOrWFfcj+mqNVqvPbaa1i9ejUIIWhtbcUPf/jDBSm7nJwcjI6OQiAQ6JxQ7MrOOFavXr3YIiwJnJ2dcfr0aRBCoNVqkZaWBq1Wa1ZfLBYLKSkpaGpqwqlTp7Bv3z6cO3cO4+PjFpbajq1g3+E9hhQXF+Pb3/42GIbBW2+9hf3795vdl0AgAMMwKCsrw4kTJxataOtSZynm0rQFCCHIyspCfHw8CCFYvny52X3xeDy89NJLuH37Nn7961/jq1/9qt3M+Yhh3+E9RgwODuLZZ59FcnIyXnjhBdTV1Zmt7KbNQVqtFlqtFmfOnLEruwXg4eGx2CIsSVgsFk6dOgUOhwMfHx+kpaVBqVSa1Vd0dDTS09Pxt7/9DZcvX8bWrVtRUVFhYYntLCZ2hfcYwDAM/vjHP+rMZq2trfjBD35glsfb5OQkRkZGkJaWhuTkZAQGBmLZsmWWFvmxY9u2bYstwpLG09MT3t7eSElJQVFREbq6usw2TZ46dQpNTU1ITk7G/v378a1vfQsTExMWltjOYmA3aT7idHd348UXX0RHRwf+8pe/4PDhw2b3VVRUhLVr10Iul2PFihUWlNKO3aRpWQQCARwcHHD37l0cPXrUbA9hLpeLr3zlK+jr68N///d/Y9++fZYV1I5VsSu8RxRCCK5evYoLFy7gC1/4An7729/C29vb5H4YhoFIJEJpaSlOnTplj6EzAUIIJicn4ejoCKVSCYFAAE9PTzAMg/7+fgQEBMDV1RXd3d2oq6vD2bNnweVy4eXlhfDwcPT29sLb2xvLli2DUCiEh4cH3N3dAcDuDGQC6enp2LRpE4KCguDm5mby/dNn3a+88gqef/55/OY3v4GnpycFSe3Qxq7wHkF6enrw4osvor29fUG7uoaGBvj4+GB0dNTmq3Fbm6GhIYjFYkRFReHOnTuYnJzEvn37UF5eDplMhh07dqCjowMymQwbN26EWCzG5OQkIiIiwDAM5HI5vLy84OjoCKlUCo1Gg8DAQPD5fDg5OYHD4aCnpwcqlQoxMTGora3FxMQEtm3bhvLyckxMTGDnzp1ob2/H2NgYtmzZAolEArVajRUrVsDBwcF+LvgAnZ2d8PT0RGdnp9nhH1wuFy+88AL6+/vx17/+FXv37rWwlHZoY1d4jxCEEPzpT3/Cyy+/jM9//vP43e9+Z9aujhCCtLQ0HD58GG5ubo9lwLharYZGowGXywWbzYazszMaGhoQHByMqKgo9PT0ICwsDEFBQVAqlQvO1pGbm4ujR48uWN6hoSFdxffq6mqEhIQgPDwctbW1WLVqFcLCwqDRaB7bHQrDMMjIyMCRI0fM3u29+eab+PGPf4yvfOUruHTpkn1hsYSwK7xHhKGhITz//PNobm7Gn//8Z7MmT5VKBalUirKyssfqPIkQAh6Ph8DAQNTW1kIoFCIpKQlSqRSOjo6IiooCm82makakfYanUqkwODiI4OBg3L59G5OTk9i1axdaWloQGhr62J3J5uXlYdWqVfD29oavr6/J93d2duKFF17A0NAQ3n33XbvT0RLBrvAeAfLy8vClL30JR44cwZtvvmlWxYH79+/D398fk5OTWLNmDQUpbQNCCAghqK2thUQiwcaNG1FWVoaYmBidF+tixF6JRCJwOByrjkkIgVqtRktLC7y9vSEWi9HT04OEhARdPcJH+axwZGQELBYLjY2NOHDggMn3MwyD119/Ha+++ip+/vOf4wc/+MFjaQ1ZStgV3hJGo9Hg1VdfxR/+8Ae8+eab+PKXv2zyBDVtvty/fz+8vLweyR/sxMQERCIRqqqqEBsbCzc3Nzg5OdlUlYbi4mKb8QAcGxuDm5sbCgsL4erqil27dmF4ePiRLVKr1WqRmZmJY8eOmZVpqKKiAp///OexevVq/O1vf0NgYCAFKe1YArvCW6L09fXhC1/4AsRiMT788EOTq4IzDAOZTIaioiKcPn2akpSLg0QigYuLCwoLC6FWq3Hw4EEIhcIFZeGgjS0nj1apVOjp6UFTUxMSExMhEokQFRVl1vmwLZObm4v4+Hi4u7ubfCYrEonwta99DXfu3MH7779vd2ixUewKbwmSnp6OF154AU8++SR+//vf61zVjaWnpwcsFgtCoRCbNm2iJKV1EQqFUKvVuHv3LiIjI7FixQp4enoumdRQw8PDCA4OXmwxDEIIgUajwa1bt+Dm5obo6GhIpVLExsYutmgWoa+vD4QQjI2NYfPmzSbdSwjBO++8g5dffhkXL17Ev//7vy+Z5+9xwa7wlhAqlQoXL17Ef//3f+Pq1av4/Oc/b3IfhYWFiIuLg7+//5L2LiOEQKlUoqGhAYODg9i9ezdUKtWSUBpzUV5eviQdH6Zr1nG5XOzcuROjo6NL/gyYYRhIJBKUlJSY5UhUV1eHp59+GmFhYXjvvfcQEhJCQUo75mBXeEuE4eFh/Mu//AuUSiU+/PBDs1bUqampOHTo0JJ2SSeEoLS0FFqtFklJSVCr1fD3919ssRbMo5BpRalUQi6Xo7i4GHFxcQgJCYGfn99ii2U20yEMycnJJp9tT0xM4Bvf+Aby8/Px2WefYfv27ZSktGMKdoU3BzweD1evXkVMTAzOnTs345pIJMJHH30EPz8/5OfnY/PmzTPaXLt2DdXV1XjqqacAAFevXsXHH38MALhy5QoqKysRHR2Ny5cvGy1PVVUVzpw5gwMHDuDatWtwdXU1+t7ps7o7d+7g8OHDS9LrjhCC4uJiREdHQygUIioqyuoejbTp7u5GVFTUYothMcRiMVxcXJCfnw8Oh4Ndu3YtyWcPmHIoWrduHdzc3ExaLBJC8NZbb+HixYt466238Pzzzy9Ylum56cH5Q9+cA5g/7zySEDszyM/PJ/n5+eTs2bPk6tWrs66fO3eOCIVC3d8cDofk5+fr/r58+TLhcDgEADl06BDhcrm6axcuXND998E+9PHBBx8QDw8P8tvf/pYwDGPSexEKhaSpqWmGDEuJpqYmMjQ0RNLT04lIJDL5/S8l7t+/v9giUGN8fJzweDxSW1tLbt++vdjimMXw8DBpbm4mzc3NJt9bUFBAfH19yfe+9z2iVqsXJMehQ4d088g0+uYcQsybdx5V7IkRH+LQoUMAMGOF9CBVVVWoqqrStfPz80NNTY3ubw6HA6FQOOe9PB4PIpEIPB7P4A6FYRj89Kc/xVtvvYWPPvoIJ06cMOl9dHR0QCAQYOPGjWZllFgsZDIZ+vv70dLSggMHDsDV1RXJycmLLRZ1enp6EB8fv9hiUMHf319ndh4dHUVubi62bt0KPp+/ZEIdli1bhoCAAHR3d6O0tBR79uwx+t6DBw+isrISp0+fRlNTE/73f//XrGD3goICREdHz3pd35wDmDbvPOo8ekFXlKmurtYpN2DqYXrwb3288soruHTpkkGzgkQiwZkzZ/DRRx/h7t27Jiu7O3fuQKVSYevWrUtG2Q0PD6OwsBAqlQqurq5ISUmBl5eXWSWMliKrVq1abBGsQlBQEI4ePQoXFxe4uLggLS0NIpEIGo1msUUzCJvNRkxMDNavX4+srCwQE06DYmJicPfuXTg7O2Pbtm1oa2szeXyRSGTWAsHYeedxwL7DWwDnz5/H1atXkZiYOOP169evA5hShtHR0Th79iwAIDExcVbbh+FyuUhJSUFoaCgqKipMWgmqVCrcunULGzZsQFBQkInvxvowDIPx8XFwuVywWCwcPHgQAB77VejjgJubG8LDwxEeHo6GhgYEBQWhrq5uSZwz+/n54ciRIygoKMCOHTuM9nb29vZGamoqfvKTn2Dr1q344IMPcPz4caPuvX79Os6ePYsrV67Mex2YPecAxs07jwt2hWcG044rHA5nlhdadHQ0kpKSdJP25s2bkZiYOKcp4mHu3buHkydP4rnnnsPvfvc7k0rx9PX1YXR0FLt27TIrW4S1uX//PkZHR7Fnzx5s27bN5ic52rS1telSmz1ubNiwAcCU6W+6lI+/v/+CE3LTxMnJCYcOHUJLSwscHR0RFxdn1DPMZrNx6dIlbNiwAU899RR+97vf4etf/7reewyZIhcy5zx2LPYhoq1y7ty5OZ1WHiY6Olpvu3PnzpFz584Z7CcnJ4d4enqS3//+9ybJSQght27dImNjYzbv1DE5OUlGR0dJWVkZ6e7uXmxxbIpH2WnFVPr6+ohAICA3btwgCoViscUxiEQiIQUFBUSj0Zh0361btwiHwyE///nP9f52H5xfLl++PMtp5WGMnXMeR+xneCYgEolw7dq1Ga8dOnRohm28pqZmxnUOhwMej6e333fffRdPPvkk/vSnP+G73/2u0fIQQpCVlYWtW7ciICDApndJRUVFqK6uhqenJ3bu3InIyMjFFsmmsJtx/0l4eDh8fX1x9OhRFBUVob6+HiKRaLHFmhcvLy/s378fOTk5UCgURt+3a9cu3Lp1C9euXcO3vvUtaLXaWW0KCgoM+giYM+c8rtgVnglUVVXh4sWLs16fnqx4PJ7uHGqu63PxX//1X/jmN7+J1NRUkzKnMAyD9PR0nDx50mYdO+RyOYRCIYqLi5GUlITdu3cvGScaa1NXV7fYItgkx48f1y2Opp2abBEHBwecOnUKxcXFEIvFRt+3fv163LlzB0VFRXjmmWfmVJjXr1/HlStXcOXKFeTn56OgoEB3lmfOnPNYs9hbTFvl7Nmz5PLlyzNeEwqFs16Ljo4mH3/8se7vh68nJiaS6urqWf1rtVry8ssvk8DAQFJVVWWSbEqlkqSlpZl0j7W5e/cuKS8vf+zjfozl7t27iy3CkiArK4vU19cTpVK52KLMS1FRERkaGjLpiGFsbIxs3bqV7Nu3j4hEonnbXbhwYZa50tg5xw4h9kwrD1FTU4OCggJcunQJ0dHReOaZZ3D27FndATCPx8P169fB4XBQXV2Nw4cPz/CIevA6l8vF4cOHZ5kk1Go1XnzxRZSVlSE3NxdxcXFGyUYIwcTEBMrKyoz27rImhBCoVCoUFBRg8+bNSzav5WKwVJJH2wL9/f06D9+EhASbNOVXV1cjICAAgYGBRid3n5ycxFNPPYXBwUHk5OTMysF55coVXL16FcCUh/iFCxcAGDfn2JnCrvCsjEKhwJNPPomBgQHcuHHD6ElOqVRCIBCgu7vbJvPytbe3Q6FQwNvb+5FKkWUtbLk8kK1CCNF5dUZGRtqc4uvq6gIAuLi4IDQ01Kh71Go1vvrVr+LWrVsoLCx87CrR08au8KyIXC5HSkoKJiYmkJOTY3RlcpFIBKFQCIZhbDIzRU5ODlasWIFVq1bZ3KSzVLClArBLjdraWgBAaGiozcWfSiQSCIVCTE5OGl2zkhCCl156CZ999hlu3rxpk7/5pYpd4VkJmUyG5ORkqFQqZGdnGx1jNDIyArFYDF9fX5uqpKzVaiGVSlFbW4vt27cvidg/a6NWq6HRaDA0NARHR0c4Ojqio6MDAQEB8Pf3R0NDA3x8fBATE4P8/HyEhYUhISEB5eXlcHZ2RlJSEurr6+Hi4oJ169ZBKBSCw+HYP+s5UCgUUCgUqK6uxv79+02ubkATtVqN0dFRjIyMGB0ATgjByy+/jA8//BA3b940+tjDjn7sCs8KTE5O4uTJkwCAzMxMozOuDwwMQCQSITIy0qZK+vB4PIyOjiImJsamlLC1UCgUcHR0xMDAgK7+W01NDQQCAbZv3w4ej4eRkREkJSVhcnISSqUSUVFRcHBwgFqthqurKxwdHaFWq+Hk5AQ2m43U1FSdx61cLodWq4WHhwekUinEYjH8/f3R19eH7u5ubNy4EYODgxgcHMTatWuhUqkwNDSE1atXw9XVFUqlEqGhoY/tbjs9PR2bN2+2qc+AEIKRkRF0dXUZfSRBCMGPfvQj/P3vf0dxcfFjk36OJnaFRxmZTIaTJ09CKBTi9u3bRqch6u3thVAoxNq1a20m7IAQgvz8fAQHB2PDhg02M5nQpq+vD0KhEIGBgbh37x78/PyQlJSEzs5OBAQEIDg4GFqtdkHfU25uLo4ePWr2/RMTE1AqlXByckJbWxvUajViY2Nx584dhIaGYtOmTZDL5Y+Nu3pVVRU8PDzg4+Nj9PmZNRgdHUV7ezt27dplVHtCCJ5++mmUlZWhtLTUvtNbIHaFRxG5XI7k5GSo1WpkZ2cjPz8fKSkpBhVFd3c3hEIh4uPjbUapiEQi1NXVYcuWLUZ7nS01lEolVCoVRkZG0NjYiHXr1kGlUkEul2P9+vVwdnamZiqbmJigtosfGxuDp6cn6uvrMTQ0hC1btmB4eBje3t6IjY21mWfM0sjlcsjlcty/f3/OWLXFYnx8HM3NzUZVXEhNTcXp06fxyiuv4L333kNJSYn9TG8B2BUeJRQKBVJSUjA5OYkbN27oJrP09HScOnVq3omTx+NBIpHYTKkYtVqN+/fvIywszKZMRJZAqVSiqqoKGzZsQGlpKRwdHbFv3z6IRCKrhwhkZWXpzN7WQKvVorW1FQDg7OyM5uZmrF69GqGhoTadw9Icpr05T506BTabvdjiAAD4fD4aGxuxd+/eedukpaUhJSUFwD/P9D7++GOUlJTYvTfNxK7wKKDRaPDkk09idHQUeXl5syaQzMxMHDt2bFZy6J6eHojFYmzcuNGa4s7LwMAA6uvrcfToUZtyAlgI0+eiTk5O4HK52Lt3L1xdXRf9/T04uS0WIyMj8Pb2RkFBAZycnHDw4EEQQuDs7LyoclmK9PR07Nq1Cz4+Pjah+IRCIRoaGrB79+5ZC8m5wlSmvTfT09Nx586dWXF6dgxjV3gWhhCCr33ta7h37x5KS0vnLe+Tk5ODAwcO6DzuhoaGMDw8jISEBGuKOycqlQp1dXVgsVhISkpabHEWTG1tLSIjI1FXVwcPDw8kJSXZ3E6VpknTHBQKBcRiMYaHh3Wxn56enkvenF1XVwcOhwOtVmsT1QQEAgE6OjqQlJSkU8L6Fj+EELzwwguora1FSUmJ0aFNdqawKzwL85Of/AT/+Mc/cOfOHYSFheltm5eXh507d0Imk6GrqwtPPPGElaScn/7+fvD5fISEhNhcTJOxKBQK8Hg8eHl5oaamRpf1xZRyS9bGmCTBiwmPx4Ofnx9KSkoQHh6O+Ph4m9glmYNcLodEIkFTUxMOHDiw2OJgdHQUQ0NDWLNmDbKzsw0mIFCr1Thz5gxkMhlycnLg6upqHUEfAewKz4K88cYb+MUvfoGysjKja5tlZGTA2dl5QR56luLWrVtYvXo1fH19bVo5zIVEIoFCoUBnZyckEgn27dtH1cnE0tiCSdNYBgYG4OzsjPb2dkilUhw9etTmdszGIJPJUFBQgNOnTy+2KBgcHMRnn32Gr371q0bFWU5OTuLQoUMICwvDhx9+uGQXH9bGrvAsxIcffoivfvWrKCgowNatW426Zzpw28HBAStXrlzUmDZDzjS2CCEEWq0W2dnZ4HA42L59u82EcJjK+Pg4AgICFlsMk1EoFKivr0dYWBi6u7uxc+fOxRbJJBiGQUZGBk6fPr1oSnvaqSY+Ph5arRbh4eFGnZvy+Xzs2rUL+/btw9tvv70kFx1Wh1JS6seK/Px84u7uTnJycoy+Z2JighQVFRFCCGEYhlRVVZH+/n5aIs6LSqUin332mdXHXQgMw5AbN26QtrY20tbWZnLhTVvk1q1biy3CgmAYhoyPj5PU1FQyNDREBgcHF1skk8jLyyMSicTqRZQZhiHp6em6cTs6Okh3dzdRqVRG3d/T00PCwsLIL37xC5piPjLYFd4Cqa6uJt7e3uTvf/+70fdMTk6SwsLCGa9ptVrS2NhIeDyepUWcE4ZhiFgsJllZWVYZzxLweDwyOjpKMjIyiEwmW2xxLMpSW3ToQygUEoFAQFJTU8nw8DDRarWLLZJRtLS0kNbWViKXy60ynkajIdnZ2bM+n5aWFtLX12f0Qq6xsZH4+vqSd955h4aYjxR2k+YC6O/vR1JSEl5++WW8/PLLRt0jk8lw+/ZtHD58eNY1rVaLrq4uaLVaqmmEpguz9vf324SjjD60Wi0EAgHu3LmDnTt3ws3NzehsNUuJ/v5+hIeHL7YYFqeiogLBwcEYHx/Hxo0bbf5sWCwWo7m5GWvWrKGalUalUuHWrVvYu3fvnJ9JQ0ODLouPMabK27dv4+jRo/j4449tsnSYrWBXeGYik8mwZ88eJCYm4urVq0Y9lHK5HKWlpXodVLRaLfr7+03Krm4Kg4ODUCgUcHBwsOkyPoQQ3LlzB9HR0RgYGHgkwiP0UVVV9Ui/R0IIsrKyEBAQgISEBJtOgK3VanHnzh3ExsZSiXWTy+Worq7Gli1b9H4OFRUViI6ONvps94MPPsA3vvENlJeXG+0097hhV3hmQAjBs88+i4GBARQUFBh1wKxQKFBcXIxjx44ZbKvVajE0NASRSIT169dbQmQAQFNTE1xcXLBs2TKbzaah1WoxMDCA+/fvIzk5eUk50SyEpeSluRCEQiEmJiYwMjKCjRs32nRQ+3TeVEvmr5RKpWhra8OaNWuMslTcunUL69evnzee92F+/OMf4/r167h3757R9zxO2BWeGfz617/GtWvXUFlZaZRnpVKpRFFRkUmmBq1Wi+HhYQiFQosovbt37yIkJATLly+3WRfm5uZmuLi4YHJy0mayzViLzs5OxMbGLrYYVoMQgpycHAQHB9ts1XJgapGo0Wiwfv36Bf9uxGIx+vr6sHz5cpMCxouLixEfH2+UiZVhGJw5cwYKhQLZ2dk2b0K2NnaFZyJpaWl47rnnUFZWhk2bNhlsr1KpUFhYaJZdfXqnJxaLsW7dOnPEBQDcvHkTa9euxbJly8zugyZ8Ph9lZWU4ceIEHB0dbXbyo0ljY6NFd/NLhd7eXohEInh6emLFihU2+d339PRAJBIhJibG7Gw4QqEQo6OjCAwMhJ+fn8n337x5E4mJiUYpSolEgh07duDIkSN47bXXzBH3kcWu8EygsbERO3bswF//+lc8+eSTBtur1WqUlpYuqCDltIlPJpOZZZcvKirC5s2bbTIF0dDQEPh8PoRCIXbv3r3Y4iwqj4tJcz40Gg1yc3OxcuVKmyyBMz4+rlNYpsbLCgQCCIVC+Pj4LCjWsrCwEE888YRRxxFcLhdPPPEEfve73+GFF14we8xHDbvCMxI+n48tW7bgy1/+Mn72s58ZbK/ValFRUYGEhIQFp/7RarXo6ekBIcTo0iBarRYlJSVISkqCt7f3gsa3NHK5HMXFxdi9ezccHR3tqZHweO3wlBot+BMqSBUaTCjVkCg0mFBoIFdp0cNtg1QsQmhUHNy8fMBiAa5ObLg5sXX/9XBhI8DTBf6eznB3tp7JTiwWY3x8HA4ODkZXKxAIBBCLxfDw8LBIqr6CggJs377dqPO/oqIiJCcnIz8/Hzt27Fjw2I8CdoVnBFqtFkePHgWHw8FHH31k1G6ts7MTPj4+FsueotVq0d7eDk9PTyxfvlxv22kvsPj4eJtKSDw5OQkej4fBwUGbSKVmSzxKZ3hqLYNegQy8sUnwxibQzZ/EsFiBYYkSIxIFBJMqAICniyM8XRzh5eoIT1dHuDuz4cBigQUGjFIBQW8bfEIi4eDhC7lKC7magVKthVSpgWBSBS1D4ObEhr+nMwK9XBDh544IP3cs93XHcj93RAW4I9jb1aJmUoVCgbGxMYhEImzYsEFvW0srO2DqjO7WrVvYsWOHUVmF3nrrLfzqV79CTU2NTRXCXSzsCs8IfvGLX+CDDz5AVVWVUQpk+nDa0it2rVarS+M03w+Iz+ejq6vLaC8wa1FRUYHQ0FA4OTnZ7FniYrJUTZoTSg2aBsRo+L9/jQNidPNlcHRgYUWAB6IDPRDl74EQjhuWebkg2McVwd6u8Pd0AdvBsCIqLy8HADzxxBMzFpoMQyBRqDE+oQJ/QokRqRJ9Ahl6+TL0Cqb+DYrl8HZ1wupgL6wJ8caaEC+sDfHB6hAvOLHN9/7VarUYHx9Hd3f3vGkEhUIh+Hw+vL29LZ6EXSqVoqurCxs2bDCozAkheP7559HX14f8/HybdVizFnaFZ4Di4mKcPHkSd+/eNcpzcNqUSCsLOyFEF2fzsNtxd3c35HI5oqKi4ObmRmV8U2EYBpmZmTh58uRj/2PTx1KJwxNMqlDRxUc5T4ByHh9tI1IEeblgQxgHG8J8sCHcG3FBXgjjuMHBCIVmDCMjI+jr60NYWJhJcXFylRYdo1K0DknRMixBy5AETYMSaLQE8cs5SIryxeZIXyRG+sLb1bQcrIQQCIVC1NfXY9++fTOuicViDA0NISAggFp+1K6uLri7uxu1eJyYmEBSUhKeffZZvPrqq1TkWSrYFZ4exsbGsGnTJrz66qv4+te/btQ9GRkZSE5OpioXIQSlpaXYvHmzbsfZ1tYGJycnLF++3CYSKBNCwOfzcffuXeqfx6OArWZa0TIENb1CFLSMoKRtDG0jUsQFeWJbtD+2RfsjKdIXQd70z2C1Wi0kEgnq6+uxZ88es82UDEPQOTaBqm4hqnoEqO4Rol8ox6ZwH+xdGYS9qwKxIczHqN0nMOURWVtbiz179gCYUi5cLhcRERHU4+Du3LmDzZs3GxXEX1dXhx07diArK2uWgn6csCu8eWAYBidPnoSXlxc+/PBDo35g1jZLFRQUYNeuXeByufD29kZISIhNxN2MjIxAJpNhdHTU6MoRjyJSqRRKpRLOzs5obW0Fi8VCZGQk7t69C29vbyQmJuLmzZtwcXGBSCSCj48P1Go19u/fj6qqKkilUuzatQsDAwNwcHBAdHQ0NBoNPD09qQbkKzVaFLeNIbdxGDfbRgEA+1cF4cCaIGyL9keA5+JlSSH/V1ngwIEDFkueMCxWoLR9DCUdY7jVPga2Awt7Vgbi2Lpg7FsVBDdn/ZYJoVCI5uZmbN68GXV1dVizZo3VHMVycnJw7Ngxo+and955B7/85S9RV1e3qJVZFhO7wpuHK1eu4J133sH9+/eNculPTU1FSkqK1eOI/vjHP+L48eM2E1A+HfPn4uJCNRfhYkMIgUqlwujoKBobG7Fx40YMDg5icHAQa9euhUqlwvDwMFatWgVXV1eoVCoEBgbOG2dYVlaGXbt2zXpdrVZDqVRiaGgIXl5ekMlkaGxsRExMDJycnNDS0oLQ0FCEhoair68P69atg7u7u8nPgpYhuNfFR9r9QWQ3DsHX3RnHNwTj0JplSIzwNXrHYy0KCwsRFRWFsLAwi3r5arQM6vrFKGodQXbDMEYkCuxfHYSTG0KwX4/yGxgYQGZmJr70pS9ZvSq8sQttQgieeeYZSKVSZGVlPTZZjB7ErvDm4O7duzh06BCKi4uxZcsWg+2zs7Nx9OhRqyucpqYmcDgcVFdX28QZWWpqKk6cOGHT6aLMRSKRoLe3F5GRkbh58yZYLBYOHjyIgYEBRERELDg35ELr4RFCMDIygp6eHqxZswalpaVgsVg4cOAABAIBQkND51S0w2IFPqjoxUdVfVBpGJzaGIKUhDAkLOfYZBD4g/B4PBBCoNFoqCRbJ4SgZUiK7IYhZDcMYViiwMkNIXhmy3JsjvTVfT5arRaFhYWIi4vD5OTkooSXpKamGqyUDkydLyYkJODrX/86Lly4QF8wG8Ou8B5CKBQiPj4eL730Er73ve8ZbN/Q0ICIiAirB3a3t7fD1dUVoaGhcHR0RHp6OpKTk60+SRFCoFAokJeXtyS9DOdicnISCoUCd+/eRUREBDw9PdHd3Y1NmzbBy8uLikKnYQ7XaDRQKpUYGRlBfX09NmzYAJlMhomJSSh8V+CDij7cbBvF7rhAfHFrBPauDITjArwXFwOtVgu5XI6SkhKcPHmS2jiEEDQNSvBRVR9S7w8gwMsFTyctx+cSQlF1qwhHjx6Fo6MjOjs7deZna6LVapGbm4sTJ04YbFtZWYl9+/bpYvoeJ+wK7yGeffZZSCQSZGRkGFQeIpEIEokE4eHhVjUP9PX1Qa1WIyIiYsaZXVpamlUrNwsEAsjlcgwNDS0JD0N9aDQaNDY2oqenB7t374ZEIkFYWJjVHIAKCgpw6NAhqmOoNAzS6wbxRmYFRoeG8NSejVjBGsHpI/vh5+dn8zs6fUyf7Vnj+VeotchtGsaHlb0ozruBp/8lBS/ujsGG8KlFb0NDA4KCgqwefiMWi3ULM0O89tprePPNN1FfX29Tsbq0sSu8B/j000/xta99DU1NTQgODtbblhACLpcLLy8vqz7YQqEQg4ODiI2NndOMZi2lx+VyodVq4efnR831miZarRYajQZFRUXw8PDA+vXrMTk5aTConxYTExPUJh6ZSoP37/XiL2VdcHNi49yeaHwuMQwujmwwDIM7d+4gLi4OnZ2d8PPzw5o1a6jIYQ3S09N1OVlpk5qaig07DuJvd3vwcVU/NoT54Cu7VuDw2mWouFeOjRs3WjUWlmEYDAwMwNPT06CHKMMw2L9/PzZs2IA333zTShIuPnaF93+Mj49j3bp1eP311/Hss88abD84OIjh4WEkJiZaQbopFAoFGhoadI4J80HbvFlTUwMvLy9ERkYuqfM6tVqN0dFRVFZWYtOmTbpdsi2kNqNh0lRqtHj/Xi/eutmJMI4bvrEvFkfWLtMbH9fW1gaZTAY/Pz90d3dj165di342bCoFBQW6lHq0LC8Pf19imRofVPbib3e64eLogG/tj4XXeDMOHTpoVc/pkZERTE5OGpWIm8vlYtOmTcjIyMD+/futJOHiYld4/8fnP/95KJVKfPrppwYfFH1Vy2nBMAxu376NhIQEo3YCGRkZOHHihMUnq7KyMkRERGD58uVLxgQ2ODiI1tZWxMfHY2BgwGBKqMUgKyvLYmdQGi2DT2r68f8KOuDt5oSXj6zCwTVBJn9fQqEQ9+7dQ3x8PIaHhxEfH28R+axBfX09OBwO/Pz8LL5z1ucgotYySL0/gDdvdgIAtjl241f/9q9wdrTeoqG6uhphYWEGrVQA8MYbb+C1115DQ0PDY2HatCs8AJ988gnOnTtnlClzOnPI6dOnrSTdFEVFRdiyZYtJsUfZ2dk4dOiQRXZhhBAUFBQgISFhSZgwpVIppFIp+vv7AUylprJlLGXSvMvl4xcZTVCotfj+kVU4tSFkwRlPGIaBTCZDYWEhVq5cibCwMJtLSD4XIyMj4PP58PX1tVjlcmN34hotg7TaQbxR1IGxxtv45Xeex+cSwiyWfcYQubm52LNnj8GMSwzD4MCBA1i3bh3eeustq8i2qJDHnNHRURIYGEjef/99o9oXFBQQhmEoSzWTwsJCIhaLzbr3xo0bRCaTLWh8pVJJ8vLyyMTExIL6sQYMw5DMzExy8+ZNotFoFlsco7lx48aC7u8TTJJvvFtF1r16g1wt6SRKtdZCks1kdHSUSKVSkp2dTXg8HpUxLIlcLid1dXWkra1twX199tlnJt+j1mjJ9ao+suq5X5AT/6+U3O4cW7AcxpKammrUXMXlcomnpycpLCy0glSLy2O/w3vmmWegVqvxySefGDT59PT0wM/Pz2IZHozBlGrH81FUVGR2maDR0VFwuVwkJSXZRMqy+aiqqtJlKomLi7NpWefC3DM8jZbBf9/uwuv5HTi5MQQXjq1CkJd1ziTr6uqg0WgQFBSEwMBAmzgLnQtCCFpbWyGXy80+c1/oGatCrcV3L/8Jd9QrsDXaDz86vgaxQXRNiIQQFBcXG3U+9+abb+K//uu/HnnT5mOt8K5fv46vf/3raGpqMuhpqdFo0NDQgPj4eKudXVVUVCA8PNwiZT1u3bqFtWvXwt/f3+h7pl2Wo6KibDIrg0ajgVqtRn5+PjZv3jxvcPVSQCQSmbyoaRmS4OIn9ZhQanD5yY3YEmV6JW1LoNVqUVRUBCcnJ5vO09jb24ve3l7s3LnT6OeEEIK0tDSjgrqN6ev9jz9Dq/NKfFTVh3/dHomXDq2Ehws9pxaRSISJiQmDeVoZhsHBgwexZs0avP3229TkWXQWb3O5uIjFYhIcHEzeffddo9oXFRURqVRKWap/0traSrhcrsX6YxiG3Lt3jwwODhrVvqCggEgkEouNb2nu3r1L2tvbSWdn52KLYhFu3rxpdFu1Rktez28jq36STa7caCFylW2YboVCISkvLyeDg4NEqVQutjhzMjY2RoqLi42Sj2EYkpaWZtEjDLVaTYqKikjbsISc/eNtsv3XBSS/adhi/T+MVqsl1dXVRpn3uVwucXd3J3fv3qUmz2Lz2O7wfvCDH6CmpgZFRUUGV3utra0AgNWrV1tDNIyOjkIsFiMqKsqipjmGYdDY2AgfHx9ERkbO246Wh6cl0Gq1yMzMxPbt2xEYGLhkd3QPY2xqqD6BDN/93/uQKjR4/Zl4rA+zboYfY5DJZLh37x68vb2xefPmxRZnFpOTk2hoaMCaNWvmzZDEMAxycnJw/Phxi1s3BAIBRkZGsGrVanxc3YdfZ7diW7Qffn56HUJ8LF/Wa3x8HB0dHUZlVfnVr36F1NRUVFRU2OTvf8EstsZdDBoaGoirqytpbGw02FYqlZKioiIrSDWFUqkkXV1dRCAQUOlfo9GQtrY20t7ePud1Yw+6rU1raysZGBh4ZFefQ0NDBtuk3u8n61+9QX7yWYPN7Or00dvbS3Jzc8nk5KTNPVMymYzU1taSkZGRWddUKhXJzc0larWaytharZZ0dHSQ8fFxQgghY1IF+d7/3ifrX71BPqzspfJZVVVVkd7eXoPt5HI5iYmJIW+//bbFZbAFHjuFxzAM2bt3L/nBD35gVNuamhpqD/5c4w0NDc2rjCyFRqMhPB6PNDc3z3g9NTWV6rjmwDAMSU1NJb29vUShUCy2ONTQp8gVag155dN6Ev+LXJJH0fxFg+lnury83CKekpZkcnKStLS0kL6+Pt1rcrncaJPnQseurq6eMU5RywhJ+o988tW/VZIxqeWf9dzcXKPeV2ZmJvH19SWjo6MWl2GxeexMmu+//z5efvlltLW1GfS2lEqlEAgEes1/lmRychK1tbXYuXMn9bG0Wi0GBwchFouxfv16q9fyM4RYLAbDMLh37x6OHj36yJgu52O+z39EosDX362GRkvwzpc2I4xjG5XszaGpqQnd3d04duyYzZjLZDIZhoeHAQBBQUFoamrChg0brFLih8/no7Ozc0bNSOGkCj9JbUQ5j49L/7IBR9YZDh43FrVajebmZqNybaakpCAwMBB//vOfLTa+TbDYGteaiMViEhISYlLMnbXQaDQkPT3dauNNj9nf309+//vfW3VcQ1RWVpL29vY5zU2PKl1dXbNeq+rmk82/yic/+Kh2SZgwjUGr1ZLKykrS19dnM2ZOuVxOGhoaSGpqqtnxrubS1tY2y9LCMAxJvd9PNvzsBnnl03qLfvdcLpfI5XKD7Xg83iPpwGJ7vuYU+cUvfoGVK1fi85//vMG2eXl52LFjhxWkmiIzMxPJyclWGw8A2Gw2KioqcPbsWTQ2Nlp17PnIzMxEeHg4YmNjERQUtNjiWA2RSDTj76z6IXzpLxX4twOx+O3ZjXB1so0d0UJxcHBAUlISvLy8UFJSAqFQuNgiQS6Xg2EYREdHY3R01Kpjr1y5Enw+H+Pj47rXWCwWUuLDkPPSHjQPSvDkH++ghz9pkfFWrFiBkpISo9pdvHgR3/rWt6DVai0ytk2w2BrXWjQ2NhrtqMLlcklDQ4MVpJoiIyPDamM9SHp6OmEYhmg0GtLb2ztrpWlN1Go1SU9Pt9p5qa0xfX7KMAx5p7iTrP1pDilsWVrndabCMAwpLi4mdXV1iyYDn88nHR0dZGxsjMjlctLV1UV6enqsLkdRUdGc52tKtZb8LK2RrP/ZDZLTYNixyRgGBwdJeXm5wXZyuZxER0c/Ug4sj80Z3vHjx7F69Wq8/vrretsRQtDY2Ii1a9da5ZyhoqICCQkJVs8MkpOTgyNHjujeo1arRW9vLzQaDeLi4qwmx8TEBPh8PgQCARISEqw2rq3R2tqKlStX4ZeZzchqGMJ/f3mLrr7ao05XVxcGBgZ0BXathUAggFgshoeHh86aIJPJMDg4CE9PT6OSL1sKuVyOzs5OrF+/fs7z6qz6Ifzok3p8YWsELh5bDfYCc3Levn0b69atM5jsICMjA1/5ylfA5XKXRP5UQzwWCq+4uBgpKSng8XgGM43I5XKMjIwgKiqKulyjo6NQq9UICwujPtY0hBAUFhZi9+7ds+rpabVacLlcuLi4WMVRp62tDUKhEOvWrbPqRGeLNDW34G/NKpTzBHjvq1ux3I++04QtoVAoMDIyYrWFj0AggEQigbu7+yzT+eTkJHp6ehAcHAw/P+tlr+FyuQgICJg3NpA3NoGv/b0Kkf4e+H+fj4eXq/mLZLVaja6uLqxcuVJvO0II9u7di3379uGXv/yl2ePZCo/8GR4hBD/60Y9w4cIFo9JqFRcXW0XZabVa9Pf3m5Tqa6EQQnDnzh1s27ZtzuKxbDYbMTExEIvFGBoaoipHQUEBCCHYtm3bY6/s1FoGF/9yA9U9Qnx0fvtjp+wAwNXVFZGRkdiwYQMyMzOhVqupjSUUCiESieZUdgDg4eGByMhIdHd3Qy6XU5PjYWJiYlBTU4P59iDRgZ749Js7odYyOPvHu+gTyMwey8nJCRqNBhqNRm87FouFy5cv47XXXsPIyIjZ49kKj/wO77PPPsM3v/lNdHZ2Gqw+nJOTgwMHDsypDCxNbW0t/Pz8EBERQX2saabNEoGBgXrbMQyDqqoqxMTEWFwhKxQK3Lp1C9u3b3+kk9QqlUo4ODhgYGAAcrkc4eHhKCsrg4ODA3bs2IGSkhJotVrs2bsPX778HtpbmpH2+1cw1t+F8fFxJCUlYXh4GIODg0hISADDMFAqlQgLC4Ojo6NVntHFJCsrC/v27bN4xXCRSISRkRH4+fkZ/B1IJBI0NTVh27ZtVguLIUbk7tRomSnTd/0Qrv3rZmyONG8XSghBVlYWTp06ZbDtmTNnsHz5crzxxhtmjWUrPNIKT6PRYMOGDfjOd76Db3zjG3rbdnR0gBBicItvCcbHx9Ha2opdu3ZRH2saiUSCnp4eo4ufEkJQVlaGTZs2Wcx2Pzg4iP7+fiQmJlq1CjRNVCoV5HI5amtrdQnI29raEBMTg4CAAIyMjCAsLAxeXl5gsVgzahMyDMEPr9ejvl+E3x4LQfza2c8eIQRyuRyEEPT09MDR0RFeXl6oqKhAQEAAVq5cicrKSqxfvx5hYWE2E99mCfLz85GYmAg/Pz+LKBypVIqenh6EhoYabaocGRkBj8czKi2XpZiYmEB5eTkOHTqkt93f73bjNzmteP2ZeBw1M17P2LmoqakJSUlJaGpqQnR0tFlj2QTW9JCxNn/+859JTEwMUalUBtt2dXUZ1W6haLVakp2dTX2ch8c0t9ZVYWHhguvpEfLP1Ea2EntlDgzDkLa2NjI5OUlycnJIamoq4fP5pKmpyeRUcAzDkJ+mNpA9V4rIiFi+oCw3SqWS1NXVEYlEQvLy8nRydXZ2WuS7W0zKy8tJX1/fgrPsyGQyUllZSUQikcn3crlcq3uScrlc0tHRYbBdbuMQWfPTHPJhpeG0YfNRXl5uVGL8559/njz77LNmj2MLPLIKTyaTkbCwMPLBBx8YbKvVakltba0VpCKkvr7eKor1QRYa0H7jxo0FpVrKy8sjk5OTC5JhsZBKpaShoYF0d3eT1NRUwuVyiVKpXLDifj2/jWz7dQHpE0x9LpYO8J2cnCR8Pp/k5OSQmpoa0tPTY1QuRVukvb2ddHV1GZVvdC6USiW5devWggoY19XVWbXgrUKhIJ2dnUaF6dzpHCfr/6/wrzlIJBIyNma4MG1PTw9xdXUl9+/fN2scW+CRVXi//e1vSUJCAtFqDVd+NqeSsTlMTExYvZyNpZJBZ2VlmVxBfDoP5lLb1XG5XDI6OkrKyspIfn4+UalUFn0P16v6yPqf3SBtw/8sv2TuZG4KVVVVJDMzk4hEItLU1ER9PEsiEAhIV1eXyfGxGo2GFBQULHiHyDAMqaystGr2n/b2dqNLdNX3iUjCL/PIpewWs57VW7duGdXu+9//Pjl+/LjJ/dsKj6TCk0gkxM/Pj9y4ccNg2+k0R9YgPz/fqpN/WlqaUQrfWKYD1Y1Bq9VabSFhCbhcLuHz+SQ1NZU0NDRY9HN7kNudY2T1T3LIrfaZK2prflYKhYIMDw+T1NRU0tzcTLq6upbEokStVpOBgQFSWlpqVHuGYUh2drbFkhkoFApSW1u7oJ2iqWRmZhr93XSOSsm2XxeQX2U0mfx9ymQyo+bL8fFx4u3tbbSCtDUeSYX3u9/9jmzdutXgl67RaEh9fb1Vfuw3b96kVvJnLhZqhpwPYwpiqlQqm6y88DByuZz09PSQ1NRUMjY2Rt3s2jM+STb+PJd8WDHbtGhKAVhLotFoiFKpJKmpqeT27dsm7+IXA4FAQHJzc/W2YRiGpKenW3zhMjo6SrhcLrUF0VyYshjqGpsgW/+zgPw6u9nkea2ystKoAtGvvPIKOXHihEl92wqPnMJTKBQkNDTUqAlXJpNZZXc3XR7FWph7OG8s+syUcrnc4GS02AgEApKXl0cEAgH1UkzTyFUacvz3peRnaXOnthMKhVaRQx9jY2Okv7+fVFRULGqaOWOYdhyaD5qm9MbGRqsuXicnJ02qyckdlZIt/5FPLueYZt7UaDRG/R5GRkaIm5ub1fweLMkjp/CuXbtG1q5da9QKLDMzk7o80zX1rLUi7OnpIf39/dR3rXNNKFKp1KoVJkyBYRgyMjJCysvLSXFxsdXHfvmjWvK5t8qIUj33c2BrO+LW1lZy48YNMjExYZQH32Igl8tJXl7erNet8VkWFRVZNe9rX1+fSYuijhEp2fyrfPJfua0mjWOsOf9b3/oWOXXqFLlw4YLBtpcvXyYff/wxuXr1Kvn4449NksfSPFIKT61Wk5iYGPL3v//dYNubN29aZVUtk8lId3c39XEImVI4nZ2dVvOIfPCMUCAQkJKSEquMaypcLpdkZ2cTuVy+KCa79+/1kM2/yiNDovnLshhzfrIYCIVCUl1dvWgmV0NMTEyQwsJC3eLLmmehxpj3LcXg4KDJBVnbhyUk4Zd55C+3jPcuNbZMWVdXF2GxWORrX/ua3nbnzp0j+fn5ur/Pnj1LuFyu0fJYmkdK4X3wwQckMjLSoNu/QqEgFRUVVpHJmhNZR0cH6e/vt9p4hEztknt6esi9e/esOq4xiMXiRc/G3zEiJat/kkNud+h3+7bVXdQ0QqGQZGZmLtqiQR8SiYSUlpaSTz75xOpjW1PBmuMpXdMjIGt/mkPSaweMvqe6utpgxYj8/HwSFxdHNm7cqLcdh8OZ8ffVq1eN2hXS4pHJpUkIwW9+8xv88Ic/NFh5QKPRICYmhrpMhYWFVqupJxAIMDg4aNVE1ACwdu1aZGRkYOPGjVYdVx9jY2MoKyuDWq3Gzp07F002tZbB9z+qxZe2R2JHbIDetsbUKFtMOBwOTp48idHRUbS0tKC6unqxRdLh5eWF3t5eREREUM3BORcpKSnIyMiwylgnTpxAZmamSfckRPjizWcTceF6Pe5wxw3fACAhIQESiURvG5FIhOTkZDQ1NWFwcHDONjU1NbMy2vj5+aGgoMA44SnwyCi8nJwcDA0N4Stf+YrBtmVlZdSzoE8nhrZGYmSGYXDr1i3s2bOH+lgP0tHRAblcjm9961soKyvDxMSEVcd/GI1Gg6KiIrS3t2PXrl3w9/df1BRmb93shFLN4PuHDaerM5TE11aIiIjAunXrEBQUhNTU1HkTHVuTtLQ0fPGLX8Ty5cvR3t5uVaXHYrGwb98+NDU1WWW8Y8eOobi42KR79q8Owi9T1uH8P6rRPKhfkQFT78nV1RUMw8x5/fr16zh79iyWLVuGFStW4LXXXpuznUAgmFV+iMPhzCp2bE0eGYV36dIlvPTSS3Bzc9Pbrra21ir5MpVKJdavX099HAAoKChASkqKVcaaprm5GYQQrF27FgBw6NAhVFVVLUoFa0IImpqa0NXVhSeeeAI7d+60ugwPU98vwjslXLz2zCajqpUfPHjQClJZBhaLheXLlyMlJQX3799HT08P+Hz+osiSmpqqe/aXLVsGT09PXV1Ha+Hu7g5PT0+rVFZwcXHBypUrTR7rqaTlOL8nGi/+rRKjUoXB9qGhoSgqKpr1Oo/Hm6HEtm3bhnfeeQcCgWBW2/kU21xtrcUjofCqqqpw//59gwmiCSGYmJjAihUrqMpD/i/hrzV2F1wu1+oTfF1dHdzc3GYtHPbu3YvW1laMjo5aTRaxWIwbN24gLi4OcXFxNlGBQcsQ/PizBnx9bwzWhRpXxLW8vJyyVJaHxWIhMTER/v7+6Ovrs6qZk/xfVYGHF3qRkZHQaDQYGhqCVqu1iixsNhtarRZjY2NWGU8ul2NyctLk+761PxZbV/jhG+/WQKnR/9m4u7uDxWLNMm0WFBTMSGodGhqKzZs3489//vOc/Tys9EQikVVrDD7MI6Hw3nzzTfzrv/6rweq9crkca9asoS5Peno61q1bR30ctVoNuVwOd3fr1U9ramqCh4fHnIsGFouFbdu2YWBgAH19fVTlYBgGTU1NqKmpwfHjx2dUIVhs3i3vwaRSi6/vNf6c2JwJzFbw9PREfHw8goKCkJ2dTd3MyTAMsrKycPr06TmrKKxatQoikQhisZiqHA8SHR2NtrY2q3yPMTExuH37tsmfM4vFwm+e3AiVhsHP0poM3n/gwAF0d3fr/n5Y2U3zb//2b3j77bdnLTCio6Nn7ebmMnNakyWv8MbGxvDhhx/i29/+tsG2d+7cga+vL1V5GhsbsW7dOqvUz6qsrERoaKjVanX19vYCgF6HHxaLhY0bN2JiYgJcLpeKHCMjI6ivr4erqyv2799PZQxzGZUq8LvcNvzi9DqjTJnT2IIZdqEsX74chw4dQnFxMTVlo9FokJeXh+PHj+t97jds2IDa2lqoVCoqcszF4cOHkZ+fb5VzzdOnT5vswAIArk5sXPvXzShoGcU/ynv0tmWxWPDw8Jhxlnf9+nVcuXIFV65cQX5+PgoKCtDZ2QmtVousrKwZ9ycmJs7qUyQSGSx7RJVF8g61GJcuXSIHDx402K6np4dUV1dTlUWr1ZKqqiqqY0zT1dVl1azlQqGQNDU1GZ2uTKPREC6XS1paWiwqR3FxMRkbG1twMmBafO9/75Nvvmf6c7ZUcxPOR29vL6msrLRoeSKFQkEKCwtNqjZi6XyyxmCt5AsjIyNkeHh43utCoVAX7H3u3Dly9epV3bWqbj5Z/ZMcco/H17129epVXdxcfn4+OXv2LBkYGCCVlZVz9n/hwgVy7tw5Qggh//mf/0kOHTpEuFzujLi7h+PwptssFkta4Wk0GhIREUE+/fRTg23LysqoyyOTycjAgPHxLuaiUCisGt+nVqsJj8czqoTIg2g0GtLT00MaG+dOp2UKS6HyQuOAiKz892zSLzR9kl9KibaNRaPRkPz8fJMDpudicnKS3L59m8jl8wfvz4e1nxuRSGQwjs0S8Pl8vQrv3LlzM5JrcDicGcrnf253ka3/WUD4E1OL2MuXLxMOh0MAzFBMc31+ly9fJtHR0SQ6OppcvnyZjI6OEhcXF/Lyyy+Ts2fPzmh74cIFkp+fT65evTpj/MVgSSu8zMxMEhYWZjDFj1KptMiPzhDWKuxaUVFh1eDfsbExs3MrajQa0tfXZ3JZl4f7sLXUW3Px5f++R36VYV7ZHWtV7FgMysrKSFdXl9n3i8ViUl1dvaDgfGs+P1qtltTV1Vkl9VhmZua8c0FiYuIMBTOtnKZhGIac+3sl+cpfKwjDMDN2gA+iVquNyrH57LPPku9///smvgPrsqTP8N555x189atfNegN2dTURN1NuaqqChs2bKA6BjBlAw8NDQWbbfz50EJQKpVobGw029mHzWYjJCQEvr6+aGxsNGv87Oxsq4ddmEo5j4/qbiG+tT/WrPuHh4ctLJHtsHPnTohEIrS0tJjsOSkSidDX14fo6OgFeeCePn0aOTk5Zt9vCg4ODggICEBdXR31sU6ePDnvWV51dfWM8zIejzfjbxaLhStPbkLrsBR/Keuadww2mz1vTN6DnD9/Hv/zP/9jlfAMc1myCq+3txe5ubn46le/qrcdIQS9vb0ICQmhJgvDMFAoFAgPD6c2xjS1tbVWy6bCMAzy8vKwb9++BfXDZrMRHBwMDoeD5uZmo+7RarXg8/m4ffs2kpOTFzQ+bQgh+G1uG87tiYavh3neogMDAxaWyraIj4+Hs7MzWltbDWbxmEYgEGB0dFT37CwEFouFAwcOWC38IzQ0FEql0iqhClu2bJk328k058+fx9WrV2c5kvi4O+EPX0jA7/La0CeQ4fr16zrHlOvXrwOY+uwGBgYMfm+7d+/GsmXLdPfZIktW4f3lL3/B8ePHDSqZlpYWHD9+nKoscrlcF4BNk7KyMqsFsxNCkJ6ebjFlM73T8/DwQFtbm962YrEYAwMDGBwcxIEDBywyPk0qu4VoH5Hi+Z1RZvdhjTCWxSYmJgZBQUEYGRmZ4e4+FwKBACKRCL6+vvD397fI+C4uLoiKijI4tqXYsWMH7t+/T30cDw8PuLq6znlNJBLh2rVr4HA488a/bY70xb8diEMGT4tde/fj7NmzuHDhAi5dugQejwdgKkTBUPo7FoulU6y2CosQG8gNZCKEEERHR+P3v/+9QVNXd3c3IiMjqbru5+fn49ChQ1THmJiYQFVV1YJ3W8aSmpqKM2fOWLxfrVaLrq4uODg4IDo6etb1np4eKJVKcDgcBAUFWXx8GnzlfyqxKtgLF4+tnvH68PAw/Pz8UF9fD6FQiG3btuH27dtQKpXYvXs3GhsbIRAI8MQTT6CkpARubm66kA4ej4fY2Fi4urqivb0dcXFx8Pf3h1QqRWRk5CK9U8ugVCohEAjQ09ODbdu2zbouEAggkUjg7u5u8WeAEIK6ujqsWrXKYFYmSzA5OYmJiQksW7aM6jiZmZk4deqU3jYxMTG4ePEizp07N+uaRsvg7Dt3sSXKF/9+cmrxfv78eQDQKTA+nw9XV1d4eHjMOwafz0dISAhaW1vn/H0vOot4fmg2ZWVlxNfX16CLvFwup+7NyOVySX19PdUxCCGks7PTavW3aHtSaTQa0tjYOKuyQ09PD2lpaTHLE2+xaB2SkLgfZ5K+cTG5f/8+qampId3d3SQ1NZU0NzeTyclJ0tfXRxQKhV5PQX1OFUqlkvD5fCKTyUhNTQ0pKCggQqGQZGRkkOrqaqLRaGw2TGM+GIYhIpGIFBYWznidz+cTHo9HRkZGqI2tVCpnjUsLjUZjlUoiarV6Rn3P6ZCEBzl37hyJjo6et4/U/Ftk9U9ySFX3VKjChQsXyKFDh3TXu7q6jHL+S05OJr/85S9NfQtWYUmaNN977z08/fTTBrNr5Obm4siRI1Rl6e/vp+6sQgiBTCazSqqyvr4+JCUlUR2DzWZjzZo1GB4e1p1xDAwMQCwW63Y1to5arUZPTw9+9PpfcGg5G5KRfnA4HCQkJCAyMhIpKSlYs2YN3N3dER4eDhcXF70WAH3B/M7OzvDz84ObmxsSEhJw8OBBcDgcnDp1CgEBAZBIJKirq0NqaipGR0cXNVehsbBYLPj4+GDbtm267PkikQh8Ph+enp5Ud/fOzs5YuXKlVVKhsdlsuLm5UUvCMI2joyPi4uJ0Af9VVVW4ePHirHbznYXyeDw8/1QyXjoUhx9+XA+FWjurfVRUFO7cuWNQlueeew7vvfeeTSQWn8Via1xTUSqVxM/Pj5SWluptp1KpqNeGk0qlRCAQUB2DEEJyc3OtUtRVrVaTxsZGkwJ7FwLDMKSsrIy0tbWRqqoqqwcImwrDMOT27dskPz+fiMViUnG/jqz+SQ5pGhAvuO+Ojg4LSEjI8PAwGR8fJ5999hmpqKggMpnM5j/XyclJkpqaSpqamsj4+LjVxi0rK7NKuBIhhKSnp+vd4esLEp+PhyuJj42N6UI3hELhjBAEQqbCEh6sOP5wkPjly5eJRsuQM2+Vkf/IbCKJiYmzknX09PSQtrY2vXLJZDLi5eU1b8D6YrLkFF56ejqJjIw0+COWSqUGv5iFUlpaSt38NjQ0RO7evUt1jGmam5tJZ2enVcaaRigUkjfeeMOmC6AWFxeT5uZm0traOsPU9ve73eT0G5bJkEIjTmx8fJxMTEyQ/Px8q2X/MIeJiQlSVlZGMjIyrDouwzDkzp07Volp1Wq1emNZDQWJz9V+rkriD5o1uVwuuXz5si6DyoPKjpApBfdgkPh0+1/99v8Rv+1nyV8+nP1MyuVyIhKJ9L5XQgh5/vnnyUsvvWSwnbVZcgrv6aefJq+88orBdp999hnV7AoymYzk5uZS63+ayspKq2SJEIlEpKioiPo4DyKTycjNmzcJIYTk5eXZ1DlUV1cX4fP5JCMjg/D5/FnXGYYhx39fSt6/Z5mMGrRXw2KxWHe+WFNTQ3UsU1AoFOTOnTtEIpEQgUBAysvLrTr+6Ogo1fPCB2ltbTU7SPxh5qsk3t/fTyoqKhYs66+zm8nZP96ec+4xxi8iPz+fLFu2zGp+B8aypBSeWCwmrq6upKlJfzYLiURCfQKxxg9TLpdbJQMHwzBWX12rVKpZP5zs7OxF/YEwDEOkUilJTU0lQ0NDZGJiYt62TQNisvonOUSqsIy81sq0otVqSW9vL0lNTSUTExNG50algVqtJkVFRTPybQ4MDCwoK4853L4998Ruabq6ukhdXZ1RbQHMm/u3urp6lvPJxx9/TBITEwkhxCJOdBMKNdn26wJyvWr2c9nW1mZwDtZoNCQkJMQqmwJTWFJOK59++ilWr15tMOaNzWZj1apV1OTQarVYvnw5tf6nKS0tpRowP810iR1rQQhBbm4ujh49OuP148eP48aNG0ZldbA07e3t6O/vx/3795GSkoLg4GC97tdZDYM4uCYIni6WcSSqqqqySD+GcHBw0BVvHRkZQX9/P27dumWVsR+EYRgUFhZi586dM8IDQkND4erqajCQ2pJs374dGRkZ1MeJiopCf3+/wYrs8wWJT2Ookri7u/uCHUY8XBzx01NrcSmnBWL5THlXrlxpsH82m40vfOELePfddxckh6VZUgrv/fffxxe/+EWD7UpLS6kWAh0eHsbIyAi1/gGgo6MDYWFh1FOIicViBAUFWS1VGTBVL3C+mKFTp04hMzPTah5eGo0GaWlpWLZsGZYtW4bdu3cbvIcQguyGYZzcYLnFSEBAgMX6Mpbo6GisWLECGzZsQFpaGpRKpVU+d0IIcnJycOjQoTk9rWNjY9Hf3w+FwnBlbkvAYrGwd+9e3Lx5k/pYJ06cQGVl5ZzXjAkSn243F9PeuWFhYcjNzV2wrMfXB2NNiDdez2+fdc2Y+pPPPfccPv30U9tKNbaIu0uTEIlExNHRkfB4PL3txGIx9Rgb2oloGYaxmpPBzZs3rZqI2tjM9bQ/45GREdLf3z/jkN9Yps2ZMqXlPjdTK1HQoLy8fMGJvo3BmGeAYRhy48YNq1Y5aG1ttUrpmuHhYb3mckKmzvDm89T8+OOP5zRpPvjajRs3LHIm3jYsISv/PZt0j8+Ut6WlxWBCeYZhSFRUlFm/MVosmR3ejRs3sHr16jkrbT/IwMAA1aKgw8PDRu0CFoJYLMbWrVupjgEAFRUVWLlypdV2d1lZWThx4oRRGWlSUlKQlpZGZcdRXFwMhmHg6uqKkydPmnx/fvMI9q0KhJuz5T6327dvW6wvc9m6dSuWLVuGwMBAs4qLGkNqauq8lcofhMVi4eDBg8jOzqYix1ysWLECDg70p0QnJye0trbq/p7e2T3IoUOHcPny5TnvN6aS+OHDhy2SkHzlMi+kxIfiv/Jm7vJWr16tSzs2HywWC6dPn0Z6evqC5bAUS0bhZWRk4PTp0wbbOTg4UE3xRbt/AKivr4e7uzvVMRQKha7ygjUoKyvDvn374OTkZPQ9KSkpSE9Pt+iZXmpqKrZv347g4GCzczSWdY5hz8pAi8kEQO95oTVxcnLCsmXLcOzYMaSmplp0wTGdrs7Y34+joyMOHDhgEfOcMTg7O0MkEhl83qYV1JUrV/DUU08ZTJZ87do1nD9/HgUFBSgoKMD58+cxODioqxxhapC4MZXEHRwcLJaA4KVDK5HXPIzGgZlV7Hfv3m3QXDldmX0xzuXnZLG3mMagUqkIh8MxGI8ml8tJTk4OVVloF+ocHR21SrHalpYWqwUkt7a26i1UaYiMjIwFeW8yDENkMplFzKQSuYpEv5JFevmWTQRgq3GI0xXmF1q5fCGfvUAgIMXFxQsa3xQM/cYvXLig+3+hUEg4HM68HpWEzF1YVavV6uYzc4LEjakkXlRUZFTMnDH8OruZPPfnmZ7pHR0dBgteK5VK4u3tbTNB6EtC4d28eZMEBQUZnKBv3bq14B+mPurr66lXMi4pKaHaPyFTruktLS3UxyFkKjdiV1fXgrO3ZGVlmXUmMT4+brHYJEIIyWsaJvt+e9MifT2ILRe4HR4eJnV1dWYnJbDEInFgYIDcv39/wf0Yw+Dg4Lz5L7lcLjl37tyM186dOzeryveDzHcWNzAwoDs/NzVInBDDlcQZhrGYP4NoUkU2/jyXlHXMPGs25rl95plnyE9/+lOLyLFQloTC+/73v09efPFFg+3Gx8epHnKPjY1RjROTy+VWSa1UVFREJBIJ9XEYhiHt7e0Wc8gwNcVaR0cHaWtrs+hn+p9ZzeRHn1g+WbgtHezPhUajIU1NTaS2ttak+yylyLVaLeFyuVZJBcYwDGloaJjztz69o3swK8q5c+dmJFl+mPkUXkVFBfX3Mzo6arE58f8VtJNnrt6Z8Vpra6vBWM733nuPxMfHW0SGhWLzZ3jEhLpsVVVVVM/XmpubqSZw7urqwuTkJLX+ganDbUdHR3h5eVEdB5hy8BGLxRZzuT9y5AjKy8t1CXL1MZ0YeMWKFRarpwYAtX0iJCznWKy/afbu3WvxPi0Jm83G2rVr4e3tbVQCYWDqzM5SleodHBzg4+MDjUZjkf70wWKxwOFw5oyX43A4EAqFM87Xqqqq5o2Zm2auwqpbtmwx+rM0l/b2dkxMTFikry/viELTgARV3f88G/Tw8DB4znv8+HE0Njait7fXInIsiMXWuIZoaWkhrq6uBt14p9Mm0aK+vp56nklrmLXu3LljuJEFUKlU1HYtZWVleneNpaWlpLe31+K7fY2WIWt+mkNahyy/O6ZdxsqSjIyMkKKionnDWRiGofYsl5WVWa18lDHPL5fLnbXje5j8/PwZ1xMTE3XnbWNjY1Sz7Fj6u7ic00K+/N//NPca+zvft28feeuttywmh7nY/A4vIyMDBw8eNOjF5uXlRbUwpkKh0FvCZaG0tLTM8LKiweTkpNWKMubm5prl8m8MO3bsQHd396xsHIQQ5OXlYe3atVi+fLnFd/udo1Mr5dggyyc1sFaQtSUICgpCUlIS7t69C4lEMuMaIcRoj2pz2LlzJ27cuEGl74fZs2cPioqK9LY5f/48CgsL5/WoBKZCDB68npSUpAs5cHFxoVoOi8ViYc2aNQazuxjLi7tW4B5PoPPYdHJygqOjo8FdXnJyslWy2RjC5hVeUVGRUTXtaE4YhBDq7vteXl5wcXGhOkZlZaXeDA6W4v79+zh27Bi1/lksFhITEyEQCNDd3Q1gKt1bUVERdu7caVET5oO0jUgRt8wLbAfLm81t3aT5MF5eXtiyZQu4XC6GhoYATH0HOTk5OHXqFNWjhTNnziAtLY1a/9N4eXnBz88PQqFwzusXL17E5cuXDZoza2pqZvzN4XB0MWxeXl7UYzBdXFwsFhbg7+mCzz+xHG8Xd+peMyY84ciRIygtLbWY4jUXm1Z4arVaF7+lj4GBAarpa9rb22etZC2JVqtFbW0t1fPB7u5u+Pj4mBQHZw5SqRS+vr7Ui9U6ODjoVq6NjY24e/cutm3bRjWejTc2gZgAOv3X1tZS6ZcmLi4uWLduHUQiETo6OnSLU2sEbx87doz6+RcwFeQ9l7K4du0annnmGZ2ye1ipTcPj8XDw4MFZrz+449u5cyfKysosI/AchIeHWzSW8cVdK1DQPIoB0dScK5VK0dnZqfeetWvXwt3d3Wo5Y+fDphVeTU0NnJ2dsX79er3teDwe1Srd7e3tWLNmDbX+b9y4MSuRsqXp7OxEQkIC1TEAoLGxEYGBlg3Kng82m43g4GB0dXXBxcWFevA2b2wS0YF0xpgvP6Kt4+zsjLCwMNTU1CA0NJT6QmcaFxcXrFixwmBwtalB4gB0jiXXrl1DXl4eGhoaZlwvKCiAn58foqOjIRKJwOPxZkzkPB5PV8U9Ojoar7zyyqz7H3zN398f4eHhBuUyFzabDVdXV4vt8sJ93bFvVSDeLe8BACxbtsxg1hUHBwfs3bsXxcXFFpHBbBb3CFE/v/nNb8jnPvc5g+1o5iFUq9VUQwU0Go3B/KALRSKRELF44VW5DTFdJNVaTExMkIaGBt3BP+0ckMlv3CKZdYNU+h4aGqLSL22kUimpqKggQqGQdHV1WaxyuzGMjo6Srq4uvW1MDRKfq7BqVVUVKS0tJYRMOakAmPXvwcDx+QqrTtesmytm7v79+1RDqiYnJy0ao3y7Y4zE/yKXyFVTjkv9/f0GnYneeOMNcuTIEYvJYA42vcMrLi42aM4EQNW0IZPJMDAwQK1/tVpN3a79YN4+WqjVanR1dVEty/QgSqUSg4ODCAgIQEBAAEJCQuDr64vGxkZqY45IFAj2sZyDgVqthkqlgkQiQXt7O5RK5ZJyXhGLxejq6sLKlSvB4XAQEhICJycn3bkqbQIDA8Hj8SCVSue8zuPxZuycORwOnn76aVy6dGnePj/66KMZzmOHDx/GRx99BGDq6CE6OhpkKn55xr8LFy7o7rlw4QI+/vhj3d/R0dG4cOECzp07h8uXL8/pnLZq1Srk5eUZ/d5NRS6Xo7m52WL9bY/xh7+nCzLqphzHVCqVwZCRffv2oaysbFHP8WxW4Rl7ftfU1GSwPt5CKC4uxrp166j1n5eXR9X7U61WY3R0FN7e3tTGAKa8TK1VU48QAoFAACcnJwQHBwP4p3nT19cXTU1NFh+TYQjGJ1QI8jLNsUgikUChUKC2thapqakYGRnBnTt3kJqaiuHhYXR2dqKqqgotLS0YHBxEcXExampq0NPTg7S0NJSVlWF8fBy1tbVWK99jDEKhEMPDwwgLC4OPjw+AKTPjtDl7PiVkaQ4cODCvJ6Wfnx8++uijWebi+czHNTU1s5y6/Pz8UFBQgPXr10OpVFpC5Dlxc3ODk5MTte/X398f/f39FuuPxWLhy9sj8be73SCEICQkxOA5pC2c41nH4G4Gxp7fTU9yNCCEICIiglo1AUIIvL29qVYruHfvHk6cOEGtf2Cqppynpyf1pNrTyGQy9Pb2zqooMa30tFotWltbsXr1aouNKZCpoGUIAg0oPIZh0NbWhsDAQJSVlcHf3x9btmxBSEgI4uPjAUydeTzI2rVrER0djaioqBnVQKbDbAghmJycRGlpKbZs2YKqqir4+/tb5Ux2LgQCAYRCIfz9/WcpCHd3d7DZbPD5fHh4eFjFgeXo0aOor6/Hxo0bZ7w+HST+IFVVVfOG/+grrOrj44PCwkIcPnzYorI/SFJSEtRqtVG15sxh586dEAgEFvPU/lxiOH6d3YrmIQnWhfroDc0AZp7jbd++3SIymIrN7vCKi4uxd+9egz+Y5uZmaj8qQgg1ZQpM7b5oTloMwyA2Npa6IqqoqDD4sFsKrVaL0tLSecsnsdlshIWFwcXFxaDnmCmIZCq4ObHh6jR7cTJtXq2qqkJmZibCwsLg7e2NM2fOYPfu3XB1dZ2l5Gb1r8dphcViITIyEocPHwaHw8GhQ4fg5+eH9vZ2NDc3Iy8vz2o7P4FAALFYDC8vr3kz6CxfvhxisZh6keRpXFxc4OPjo6s+MB88Hg88Hm+WE8k0+gqrOjg4wN3dHWNjYwsVd16kUilaWlqo9a/Vai1atcDTxRHH1wfjk+qpI5+oqCiDz+G+ffsW1XHFphWeIXOmVqul6t129+5dqmV67t+/T9WeLRAIqKfzmTbZWSO+jxCCzMxMg6ZTNpuNiIgIaDQai71/uYqB+0P17wghuHHjBoqLixEUFITNmzfj9OnT8Pb2NnmV3tPTY1L7yMhIrFy5EmvXrsXu3buRn5+PsbEx1NXVmdSPKQgEAkgkEnh4eCAoKEhv202bNqG9vX3eGDZLwmKxwOfzwefz9bYzJkh8LvPn9LO9c+dOqr+nsLAwquefy5Yts3jM35Obw5FeNwC1lsHg4CD6+vr0tt+/f/+inuPZpMIjhODevXsGt73Dw8NUA3YnJiaoutgPDQ1ZLM/kXNy+fRtPPPEEtf6BKaV94MABqmNMk56ebnRuRjabjbi4OAgEAosUwpSrtbrdXWdnJ5qbm9HR0YF9+/bh6NGjcHR0XNBOeiHOPm5ubjhy5Ah8fX2xfPlypKamQiwWW3TXJxQKIRQK4e7ublDZTbN3715UVFRAJpNZTI75SExM1Ou8ZkyQuDGFVYOCgqjWdtu5cyfV88+goCCL5iPdFu0PJ7YDStvHEB8fPyuE42HWrFkDNpttUQcaU7BJhdfd3Q2pVIoNGzYYbEvLXMcwDLZt20alb2DKw80YD1Rz4fP51JWdWCw26juyBFlZWSYnImaz2di0aRO6u7sXXAxTodbCxckBmZmZUCgUWLNmDVauXEk1LZSpODo6ws/PD2fOnEFbWxv6+vpQX1+/4H6nzZM+Pj5GK7tpjh49ioKCAquYXJOTk1FYWDjrdWODxI0prCoUCk3ejZuCXC6HSqWi1r8lz7UBgO3AwucSwvBJTT8cHBwMblIcHByQmJioS+5ubWxS4VVXV2P9+vUGJ5OqqipqWf+lUinVVYhcLqe68mWz2dSDgJuamqhXZp8eZ65sFcbAYrGwdetWNDQ0mL1ynpycxPjIECS9rTh+/DjWr19v8YVWW1ubRft74oknEBYWhhUrViAtLc1shTMxMYGenh4EBQWZbY04deoU7t27p7cNj8fDxYsXce3aNYP9PVxB/KmnngIw9cyvX79+xu/KlCBxAHj66adn/J2fn4/z58/r/t64caNFFhHzsXz5cqpZV9RqtcW9JP8lMQwFzaOQKtRGZQzavHmzXeE9SHV1NTZv3qy3DSGEqrmxoqJilteXJSkvL6ean7O4uJjq5yMQCKDRaKjvcGQyGVxdXReUZ5TFYmHv3r24d++eyXFu7e3tqK+vh7e3N9zDVlHzqKWR+JzNZsPLywspKSnIyMiARCIxyRynUCjQ3NyMyMjIBZ3ROjg4ICoqat4ztoKCAp1DiTGIRCJ89NFHOHz4MC5fvqxLxAxMKejpNIA8Hg+HDx/GU089BV9fX/j6+iImJmbGOd3169dx9epV3d9Xr15Ffn4+CgoKcO3aNVy8eHFWwvU9e/YYVaLKXEJDQ6mFQAQFBWF0dNSifcYGeSHS3x3FbWPw8fExGP6wmArPJjOtHD58mLz99tt62zAMQ7V4Is3K5lKplNTV1VHrv6enh9TXW75I6YMUFRVR7X+ahoYGi2YhycnJMar6OsMwpKCggDQ1NRFCCKns4pPtvy6wmBwPYyhjiCW4f/8+6enpMWoslUpFSkpKTCq4qw+tVkvKysr0ZhM5d+7cvMVSH8RQG9pltgYGBsjw8DC1/vl8vlHP6EL6t3Qh69/eaCXfeq+aqFQqMjAwoLdta2srcXV1pVpMez5sbodHCEF1dbXBDORtbW0GvbIWwvj4OLW+nZ2dqebO8/b2trit/kHkcjk2bdpErf9pRkZGIJFIdMHlluDYsWPIy8vT68Iul8tRWFiIJ554QpfUwM2ZDZlav9v7QqDpXTlNfHw8/P39wWazUV5ePm87rVaL4uJibN261WImawcHB6xatYp6ZQBgagdGcwcRGhqq9/NbKO7u7gbLEi2Enp4eiyfbP7ouGMVtY1CoNQbn5bi4ODg6Oi6K44rNKbyenh6IxWKD5sTplEY0GBgYMBjTsxDy8/N12SloUFtbS7UqQn9/P9XqEcDUpFtRUYEdO3ZYvO+TJ08iOzt7znOt/v5+NDU1Yf/+/TPOh/08nCGWq6HR0vHQMxSnZyk8PDwQHh6OuLg45Ofnz7pOCEFubi72799v8XJVAQEBcHd3t4hr/1wVxKfx9vamuqAEpmLOLFVJ/GFcXV2pppiLi4szeKZqKuvDvOHj5oSqXqlRiaQTEhIWxaxpcwqvuroa69atg5ubm952O3bsoBZwLhKJqJ3fEUKg1WqpnQXJ5XKqKZCAKSeSqKgoqmPU1tbi1KlT1PpPTk5Genr6DKU3fZi/efPmWd+Pr7szCAFEcjrxQ7Q/zwdhsVjw9/fHjh07kJWVpXud/F/x1mPHjlFzeEpMTERPT8+CvDajo6Nx6NAhnD17FhcuXMClS5dmTLLTbu80wwciIiKoZUQBpnJ40oph9PT0REREhEX7ZLFYOLx2GXKbhhEbG2sw9GGxzvFsTuHV1NQYdFgBYPEVyoN4e3tT2yFJJBKq6Yn6+vqwf/9+av23tbVRj7tTKpUICgqiniEmJSVFp/SKioqwcuVKhIeHzzmuqxMbHs5sCCbpuIzTNJHNh4eHB44cOaJTeunp6UhOTqaeDmzt2rULijXTV0F8ml27diEnJ8fsMQzh7e095w7ZUshksgWH0ujDkrF40xxcE4TS9jF4eXkZXNDYFd7/0djYaHB3xefzqbrDV1dXU/vRj42NUQ0spR2OwOFwqHtmNjY2Ul09P0hKSgp+/vOfY/v27QYTbAf7uOqKXloaa6VmexgnJyccOXIEr776Kk6fPm2VfKh+fn4Lco3XV0F8GicnJ4SFhVHL6MFms6HVaqnFFwYEBFCt/NHb22txs+mWKD+MT6rQy580GIC+adMmNDU1WT0Zus0pvPb2dqOyTtAq+KpQKKiepzQ2NpocvGtq/zRzi1ZUVFBVRjKZDHw+32pnWjk5Ofj3f/93FBQUGDy3XRHgia6xSSpyTCeWXgyys7Px4x//GMXFxVTNgNOwWCxERESYNaEbU0F8mpCQEKoT6pEjR6imTqNZRWXz5s0YHBy0aJ+uTmwkRfqiS+Fm8HwzNjYWUqnUavlWp7EphafRaMDlcg06o4yPj1M7p3J0dDRYoWEh0KycXl9fTzW7SnFxMfbs2UOtf2DKtHfkyBGqY0xTWFiI/fv3w9nZGcnJybhx44beHUF0oAe6xukovJKSEir9GiI1NRUpKSlwdXXF5s2bUVtba1BJmBIkDsysID7tYBIbGzvLOUwgEMyZG9fUCuLTBAUFITc31ygZzUGpVFo8pu1BXF1dqSlsDw8PKvlvd8YGoKxz3OAc6ubmhoiICLS3t1tcBn3YlMKbTtljKAi3paWFmpdjQ0MD1aBSmivoyMhIqrk54+LiqNbVk0gkBsNRLEVdXR0SEhJmmGdPnjyJoqKieV22VwR4gDtGzzPP2qSlpeHMmTO6v729vREQEKA396ipQeLnz59HYmIizp49i3PnzuHDDz/U3btv3z4MDw+jpqYGV65cQUFBAT788ENcuXJlRv8PB4efPXsWV65c0QWGz5cjk8ViwcHBgcp5FQD4+PhQLa6sUqnQ0dFBpW93d3cqVQt2xQbgDpeP4mLDC7iVK1daXeHZVOB5dnY2Wb16tcF2ra2t1GSgGbTa09NDqqurqfWfm5tLrW9CCKmqqqLa//3794lQKKQ6BiGEDA4Okt7eXqLVaue8XlBQQCQSyazXG/pFZP2rN4hWO3/wtLlIpVKL96mPzz77bN5r5eXlRC6X673f2CBxDocz4++rV6+SCxcu6P6+d++ewT4WglKpJGNjY9T67+vrs2hihAfRaDTk9u3bVPomhM58odEyZP3PbpCr739m8Bn65je/SX74wx9aXAZ92NQOr7293ajYOpoxcrt376bWN5/Pp1Y9fXR0lFpeUWAqFIHm7k6r1aKvr4+684ZKpcLk5CQ4HM68Z50HDx7E/fv3Z3nJrQr2gkrLgDdu+V2eNU2aD+/sHmbr1q0WWf3rqyA+jYuLC7q6uhY81nxoNBqLn1U9iJeXFzUHOjabTS3WGJgK7bL0XMp2YCF+OQcOIasN+hIsxg7PphReR0eHwS9YqVRSzVZuyLtoIYSEhFALd2AYhqo5cGJiAnFxcdT6v337Nk6ePEmt/2mGh4eh0WgMLg52796Njo6OGeY9J7YDNoT54H6vyOJy0TK7PQghBGlpaTh9+rTBtkePHkVqauqCxtNXQXya6bp5tHB3d6eqUL28vKgWNKWZmaa1tZVKtqqE5Rzcrm0zmFPzsVd4xuzwBAIBtaBw2sUq7927R82DUigUUtv5EkIsHqj6cP8rV66kHv8ll8vR0tJiVNo1FouFJ554AiMjIzMyg2xZ4Ye7PMtPEuZWgzAWhmGQnZ1tdOgBi8XC4cOHFxRrpq+C+IPs2LGDWtYSYGrHamjyNRcHBweDSTIWQkBAALV4vPDwcKPPYk0hPoIDnswFnZ2detutXLkSnZ2dVC12D7PkFJ6Hhwc8PT2pjE8IMSro3Rzkcjl8fX2p9A1MfXa0TCvj4+NUV8kSiYRq/9Pk5eXh6NGjRrdnsVhYv3495HK57se7b2UgStvHwDCW9Z6jGXiu0WiQn5+PY8eOmRRn5+HhgdWrVy9oUtRXQXyayclJagoJmNrl0ZozgCmFSssZbcuWLdQcmpYtW0bFZLopnIMeiRbRK/Uf30w7J9K02D2MzSg8tVqN3t5eg7En9+7doxZYLZVKLZ5UdRo2m40tW7ZQ6ZsQMquEiSUpLy83WNhxIdy8eZNq/8DUezDGlPcwbDYbsbGxYLPZaG1tRWKkL5RqBo2DC/fklUqlEAqFkEql4HK5EAgEkMvlFnVFVyqVKCsrw/79+81KZ+fv7292Tk1jKogDQHBwsMXrAT6It7c31TPSxsbGeXezC2ViYoKaJyiLxaIS3O7v6YJIf3fkltfqbefo6IgVK1YY3AlaEptReNNnJYYy4zs7O8PDw4OKDPX19fD396fSd2trKzXTBMMwVB1Wtm7dSi0Dh0qlol41XS6XIzIy0uz3wGazERERAQ8PD7S3tmDPqkDkNs3vuj8XarUaY2NjyMrKQnd3N2pra1FRUYGJiQnI5XKsXr1ap/DS09ORn58PiUSCe/fuma0AJycncf/+fdy+fRvp6ekz4uDm4+Hiql/+8pfR399vVhVuYyqIT7Nr1y50d3ebPIaxLFu2DGNjY1T6XrVqFZqamqj07efnZ5Fk2/NBa05aH+qD+s4+g+1CQ0MxNDRERYa5sBmFNzg4iKCgIIO7N5pFWWNiYqidI3V1dSEsLIxK3y0tLdScHggh1GKBgCllTbsyO4/HW/A5AZvNRmhoKDgcDja5S5BWO2iUIpLJZMjPz4dUKsXg4CCOHDmCqKgoxMfH4+DBg1i+fDmCgoJ0O0k/Pz+kpKTg8OHD8PT0RExMDNLT09Hd3W2SaVEikaCjowPXrl3D1q1b54yDm4u5iqtu3boV2dnZM9oZEyQOGK4gPo2rqyvVRVtiYiI1k7+fnx/Vcly0skoBU5+LJS0K08Qt84TWN9Lg7y4kJISqF+3D2IzCGxoaMqoCOE3TBM2Jd9u2bdT6FggE1NIQcblcqqWMCgoKqC0EgH969VqiXAybzUZwcDAOJ8RgrKcT1T3zOzkJhULd7urw4cPw8/PDpk2b5vXSnav+ooODAwICApCSkoLQ0FAEBwcjLS3NYC5WkUiE/v5+REZG4rPPPpuxozp8+PCMIO6H4XA4EAqFIIQgPz9fZyrfu3cvysrKTA4SN6aCODB1XlhWVqb3fS2EaYclGrBYLKom2dHRUWoZV8RiMRWnkZXLvNA5yDfYt7V3eHSX1iYwNDSEkJAQg+0sXaPrQZqbm6nFvXC5XGr5IdetW0fN5MhisailQyOEwM3NjepC49atWzhx4oTF+mOz2YgID8XRxBV489MS/M/3PzerTXl5OSIiIhAXF4eEhASj+jW0ind2doazszNSUlJQWFiImJgYBAUFzdq1CAQCCAQCBAUFoaura844OH0Kbz44HA5CQ0MRFRWFxMREXLhwYc52c73+cCWD+YiKikJfXx+WL19usnyG8PHxQX9/P7XdkkAgAMMwVCxEhBAMDAxQq/HX09Nj8QVzXJAnekZEGBoaRmTk/B7eISEhVq0UYjM7vMHBQYMKj2EYaoHhk5OT1JSdSqWidqgNgOrKWKFQUDPzqlQqqrk/5XI5Fa9bNpuNb57YghKeGOU1/zz012q1SE9PxxNPPIHQ0FCTPAP1pfN6mOkQhrGxsRlxowKBAGKxGD4+Pjp3dkNxcHMxV3FVFosFhUJBrfoAMLVwo+lNScsDG5g6g6QV1hQTE0OtfmZUVBSV2OCoAA/AOwgjUv1nv4+1SdOQwpNKpairq6MyvpOTEwIDA6n0rVarqa0sh4eHjdoZm0tnZye13WNTUxMmJ+kkYwaAkZERapPQ6lAOdmxaiYz6QXR3d4NhGGRlZeH06dNmLRAGBgZMah8VFYXly5dj+fLlyM/Ph0AggEQigYeHh+45NjYO7kH0FVddu3Yt1Rpzjo6OqK+vp9b/+Pg4tZgvrVZr1XgyS8FisagoUye2A6ICPNEr1F+CKCQk5PF0WjHmDG9kZIRa6qnu7m5qXlxqtRoymYxK3xwOB5s2baLS9+TkJGJjY6n0DUzV5DLklbsQ6urqqIZrfH1fHDK6tBgc4+Pvf/+7WWEP05iTcs7BwQEcDgcbNmxAamoq3N3dZ5WeMiYO7kEMFVeNioqiuiKXSqXUHLA8PT2pufj7+flRK0rt7OxMLQOUq6vrrPqCliIiwAvlVfqLvE6f4dE6o3wYm1J4hnYqISEh1MyOCoWC2k6pp6eH2hfK4/GopAcCpna9tGr3MQxD1ZzZ1dWFHTt2UOsfmMoMvzrEB9eyyrFu3bo5HU+MxdxinCKRCBKJBEeOHJk1KRobB/cghoqrrlmzhmrx5Z07d1LblcfGxlILEGez2dTO2Nzd3alVQXF0dKQ270Uu84WMpT8LTUhICBQKBdUKNQ9iUwrP0Gq/q6uLWrXwFStWUDs/8PDwMMoD1Rz6+vqoZXCpqqqipqjVavWCFIQhOBwO1Yl5miccuKhkYhC1egNaW1shkUjM6ofL5Zp8j1QqxcDAAPz9/REeHo7ExMQZnoimxMEBxhVXdXFxQW1trcmyGgvDMNRMgywWi1oMLwAq9eWmoVn2i5aVJZTjhklH/Qnnp5NvW+scz2YUnkgkMjhx9/T0UHORv3nzJrWDYUdHR2qOHwkJCdRy+clkMmo7vKamJqqVEUpLS6lObgCQkZGBl899CbvjAnEppxW7du1CVVWVWeZrU73kZDIZOjo6EBYWpkuW4OPjA2dn5xnZggzFwZlTXFWr1Zqt2A3h5+dH1WuP5hkhzYXA/fv3qfVdXa3f7GguYRw3tDXU6m3DYrHA4XCstsOzibAEjUYDhUJhMPB08+bN1JSSk5MTNaVUW1uLqKgoKn13dnZSU0pbt26l0i8wdS5BKyH1wMAAFdf2B6mqqsKxY8cAAD87vRaHXyvFHe44Dhw4gLy8POzbtw/Ozs5G92dKvkSVSoX79+9j06ZNM6wSDg4OcHJyQl9fn870f/XqVVy8eBHAPyuVP3iuef36dVRWVup2fdPFVTkcDrhc7pzFVffu3Qsul0ulXBSLxaJmDQGmMq7QCh+guQujlQEKADULUSjHDWKt4d+Al5cX1eThM7Bq9b15EAqFBAARi8V629EsFkmzAGdFRQW1vvUV8lwo6enp1Pru6Oig1vf4+DhRq9XU+heLxaSvr48wzD8Lwf7lFo/suVJEpIqpcbOyskySwdjCw2q1mhQWFuotrllcXEwEAoHRY5sKwzBUv7+BgQFqfY+Njc1b+HehjI6OUumXEEK1iC2fz6fS74BQRsK/8wFRa/R/3ps3byaffPIJFRkexiZMmtPncoZMUDTdV0tLS6n1TXPFGh8fT61vmtBIWjtNU1MTNUsAMBUK4uTkNCNc48s7ohDGccOrqVPv68SJE7hx44bRThLGZJthGAYFBQXYvXu33h3h3r17qT7PtJIOT9Pb22tSXKIpdHZ2YnR0lErfzc3N1BxuampqqCW2r6iogFKptHi/fh7OUPY3QaLQ73Xr5eVFzTfjYWxC4U1MTMDd3d3gJEUzyTDNgNqqqipqfdMKaGcYBvv376fS9+TkJFasWEGlb2AqrRet2EFCCFpbW2dlzWE7sPD6M/Eobh/DR5VTSXNPnTqFzMxMoxx/DDkOEEKQlZWFw4cPGxUofPToUapJh1euXEktjGfFihXUHJpCQ0OpnReFhoZS+z2GhYVRS/Ts6+tLRZm6OrHh7OIK4aR+Zerp6Wk1k6ZNKDypVGpU4liaHwqtyV2lUlE7Y5PJZNRWq3K5nFrsj7OzM7UzNplMRq0MEzCV1eb48eNzXlvm7Yo3vpCAn6U34S53KlTk9OnTSE9PN9ivoUVRRkYGTp06ZfTOlc1mU9sRAMDy5cupOZD5+flRyw0bHBysq8NmaSIiIqhZc2JjY6klxti4cSM1D/XguI0QyfVvJh7LHZ4xCo9mkVBauzBHR0esXbuWSt9KpRLr16+n0vfo6Cg1L8eenh5qbshardasUjbGsnLlSr07rJ2xAfjF6XU4/48qtI9M/YhTUlKQmpqqd6enz+EhNTUVycnJJu1anZyc0N7eTtXF/9atW1T6ZhiGmklWoVBQCxAXi8XUvClHR0fR3NxMpe+WlhZqC2eMdmJUoN+j15pOK0Z5afJ4PFy9ehUxMTE4d+7cjGsikQjXrl2b4WL+cJsrV67ogmD9/Pxw9uxZ3euVlZXQarVGrTDi4uKMEddkCCHUVhhDQ0MYHByksutwcHCgdlbl5+dHbbUqlUqpeWjW1dVh1apVVPpWqVRobm42mAT86S3LMSRW4AvXyvHe17ZidbA3zpw5g/T0dJw6dWpOD8H5ysukpaXhzJkzZsm7e/duVFdXUwnw9/T0pJY9yMXFhdqixdvbm1pIRUBAADVl6uXlZVaspjG4ublRm/+8vTwwItRvQvb09DQ4/nw6ZPpaZWUloqOjDSYqN7jDKygoAI/Hm7eG1rVr13DhwgWcO3dOp+gejPs5f/48EhMT56zHxefz8fHHH0OlUhkVS0YjySkwtaLcuXMnlb4B01zOTYHL5VI5bAamFDWtVdeqVauomcO8vLyouYc3Nzcbffb43UNx+PKOKHzhWjnu9045Mpw+fRrZ2dlzps66ffv2rNfS0tKQkpJitrxeXl7UKl0AwL59++x9P4CDgwO1vr29vamZ6mNjY6mZeZfHrQXjpD8BhCGTpj4dAvxTjwCGfRoMKrxDhw7h0KFD82YRyM/Pn/F3UlLSjPREH3300bz1uHg8HkQiEYaHh43a4dGqKqxWq6kd8AcFBVHbmXI4HGpFM7u7u6mZNIuKiqg5lXh7e1PrOygoyKR4yu8cjMN3Dsbh2T/dwyfV/QCmHFkKCgpmLVQe/qwXquyAqXM8mt6aNAPEafZNaxdGs2+5XE4tcf7o6Ci14yKFYAgCAw5Ibm5ues+b9ekQ4J96hMfjGUxmseAzPIFAMCNzw4cffqjbbtbU1MxZj2t6B/jKK6/g0qVL+NznPmeUaY6mowOtLf3AwAA6Ozup9O3j40OtPuC6detMCpw2BUIINVMsrUkBAPr7+02+54WdK3DtXzfjl5nNuHi9HhKFGseOHUNpaemMShEPFgi2hLKbRqvVUssfKZPJqKWeo1lFg+Z5ES25HRwcqM1RDg4O1My8bDAGnaccHBzmfY4M6RDgn3rEmLqLC1Z4f/rTn/DRRx8hJiYGV65cwTPPPKPL5GCoHldiYiIuX74MPz8/ozIf0PJ2dHd3n/cMZaGo1WpqO46Ojg5qD6pAIKA2mdHyiAVArcguALMdbXbHBSL7u7sxIJLj6OulSL0/gIMHD6GyslL3WygsLAQw5aBiKWUHTH3WtM7D9uzZQ80pZteuXVT6pd03raMRFxcXaiXG/P39qc1/ASGRcOfo9y51cHCYd1FmTE3HaT1iTGWUBSu8xMREnDt3DtHR0bh48eIMb0dj63EZm+qHVs43jUZDLTYnIiKCWokdT09Pank0u7u7qaVau3PnDpV+AVAtB7SQ87Awjhv+8eITePnIKvw2tw0n/nALg24rUFVbj7GxMbDZbIvu7KYZGhqi9mx3dXVRU6a0yvgs1b4ZhkFHRweVvicmJkyux2gs6kkBJCL9wfgODg7zLpzMqemodyyz7nqA8+fP4/z588jPz8fVq1dx/vx5XLt2TXfdmHpcxig8Qgi1HZ5cLqcWRDswMEDtYQoPD6em8NasWUNtZ0ozPuzu3bvU+l6oaZDFYuHJzeEoenkvntsWiaulPLyYI8H6f/sTCsoqcPr0aYt/5mq1mpoVYGhoiJoJj2YlDVrejgA9uR0cHNDe3k6lb41GQy1gPud+Fz69p1/u3NxcfPrpp/NeN7Wmoz4WlDy6pqYGMTExulX1uXPnkJSUhK997Wu6XZ8x9bhYLBYEAgFEIhFKSkrg6uqKnTt3oqSkBBqNBgcPHsTdu3cxNDSElStXorW1FePj40hKSsLw8DAGBgawbt06KBQKcLlcxMTEwNXVFU1NTQgLC0NwcDCqqqoQEBCA1atX4/bt2/Dw8MC2bdtQWFgIjUaDdevWITc3FwqFAnv37kVtbS1EIhG2bduG7u5ujIyMYNOmTRCJROjp6dG5vre1tSEyMhIcDgd1dXVYtmwZoqKiUF5eritRU1lZidjY2Fnvqby8HJOTk9i5c6dZ7+nvf/87Nm3ahK1bt856T46Ojti7dy9u375t1nvSaDRwdnae8z3Fx8fP+z0Z854CAgKQlpZm8vdkzHtqbGxEfHy8yd+TMe9JIpGAz+cv+NmTqB1wT+aPzoqbYBMNOP6hyM/6EL3feBGNjY0Wez6qqqogFouxZs0apKWlWfT5iIyMRHR0NG7duoXQ0FCLPh/TsXKxsbEWfz5GRkYQGxuL2tpaiz8fO3fuRFtbG1JTUy02N02/p7KyMoyNjUEkEllsbpp+T2q1GlFRUcjKyrLosxcQEIAgNweoRttRUFAw7/fk5+c370LPnJqOejE26ea5c+fI1atXZ7yWn58/6zVCCDl79qzu/zkczoxrly9fJhcuXJjx2ltvvUVOnTplUAZaiZInJiZId3c3lb4nJyfJxMQElb5ramrI+Pg4lb5TU1NnJEe2JCUlJVT6JYQQkUhEre/a2toF3S+Sqcgrn9aTuH/PJhev15Ea7iBpaGggfD6fSCQSUlpaSiQSiYWknaKrq4tacuDS0lKDCd/Npauri0q/hNBNuE4rCb1KpSKZmZlU+lYqlUQoFFLp+2u//4S8/Jcbetu89tpr5Mknn5z3ujE6xFiMNmlO78AeJCkpaVZYAo/Hw+HDh3V/G6rHBeg/tHwQGuVIgKnsCz09PVT6FggE1LIY0Ixni4mJoebdRysnIDBV15AWC3n+StrHcPi1EvQJZMh7aQ9+diIOWsFUGSM/Pz+UlpZi9+7dqKiosKjJ19vbm5q3rUQioVZkl5aJDaDn/AbQO59msVhYt24dlb4FAgG1s0fPgFD4B+mvqG7oSMsYHWIsBk2aNTU1KCgo0AWgA1M1s6Kjo8HhcHD58mVcvHhRl/vOz89vRqYVQ/W4AOMVHi0vJTc3N2pl7mmeoTQ2NiI8PJxKRhRPT09qZ3g0c13SmtyBqZAHU5NeMwzBWzc78ccSLn6WvBZPJy2HWq1GRUUFEhISdPF308HoBw8eRG5uLvbv32+R93Lr1i2LO8JMs2vXLjg60imp2d3dTa0SCC0nMgDUss8QQqBQKKj07eDgQC3mdnx0BAHO+mv5GVJ4xugQYzH4tCYmJiIxMREXLlyY87ox6VwMXWez2XNmn3iYoqIis9MsGRqf1ko1KCiI2i7M2dmZ2i6sra0Ny5Yto+IUMzAwYFQ5HHPYvXs3CCFUlHVsbCz4fL7RxTjVWgYvf1yHml4hPv76dqwL9YFWq8WtW7ewa9euGTGUBw8e1P3/0aNHkZ2djaNHjy44XpFWYgJgajFMK8SEVno4YGoXRmMeAaZCNWigVCrR399PJXzA19eX2nMilU7AmaXfwUSr1Rp0WjQmxs4YbCJ5tLu7u1ErI1qpxVgsFrWAZYVCQc0tfM2aNdQyqMfExFDzwJPL5dTqht27d8+oxZM5REZGGj0xKNRafOPdanSMTOCzb+7EulAfEEKQl5eHvXv3zkoY8HBmkRMnTiA7O3tBsZAMw2Dz5s1m328IWpYLANRCYgC6iwBaFUbYbLZJWX5Mobu7m5rnqoOXv0Hr2eTkJLUd5ix5rDKKAYwtD7F3714q4zs7Oxu9ajcVpVJJzVW5r6+PWkq0gIAAag/hunXrqAW1+/j4UDszZRjGqLAHLUPw3f+9j/EJFT44tw0Bni4ghCAzMxNHjx6d0ww41+IiOTkZ6enpZn9WY2NjaGtrM+teY6Bpmm5paaHSLyGEmtxyuZyq2ZFWViWlUkltESAWCuAI/ckJjC0PZwlsQuEZWwCwrKyMmgy0svcHBQVRS2bs5+dHrQq8RCKhNulotVpqGToSEhKomad9fHwgEon0KiBCCH6e3oTO0Qn89fkt8HGbskroq5QAzJ+hIyUlxWylV15eTqVSAjD1HdIq8aRQKKjln5XJZKioqKDSN8Mw1D7vsbExjIyMUOk7JiaGWmUU0dgQPFz1W+YmJiao1eN7GJtQeMbu8GhVBgBA7UfAYrGoye3r60utHl5QUBC11SqLxaIaRDtfZQ9LcPz4cb2JBP5R3oMbTcP421eegK/HlNPJdAYVfeeK+rzkzFF6UqkUW7duNbq9qbS1tVE7m2az2dQsLmNjY1QTWNDyLlWr1dQqGjQ3N1OTW+MehGV++p8T+w5vHmiZNAGYH8hoADabTc2sxGKx0NjYSKVvZ2dnbNiwgUrfAQEB1B5wV1dX9PX1UekbmPrM5zu7qusT4VJ2K956NhHhvlO7TGPThRkye6ekpCAzM9PonbFWq6V2ljkNLW/Hvr4+ambp4OBgankje3p6qCVF9/X1pRoCQqOEGSEEAokUgV76+34sd3gKhcLgD7S2tpaaDBs3bqTWN63DZgDUnD8cHBxQVFRErW+aK7oNGzZQ8151cnLCwMDArDO3SaUG3/6gBt89FIcnVkx5pZmSG9OYkJvk5GTcuHEDarXaYNuSkhKEh4cbNbY5ODo6Ugtb4fP5ujAnS9PR0UEtDtTPz49aeFNlZSWVfgFg8+bNVBSOWK6GQjCEAC/9Z4+P3Q5v+s0a2uXR8nYEpiYIWtAKmAdA1QuPVowVQLeMD+3dzeHDh2cEwgLAb3PbEOLjhnO7p+KDTE0EPTw8bFS7kydPorCwUK+5OT09HcnJyUaPbQ60zncBIC4ujlqO2P7+fvj6+lLpW6VSUVsEODs7U3Miq6+vp+JENj6hhEdgGDyc9e96JyYmHi+FN/1FGjrH27p1KzXvPlpVyYGpB4oWxk6U5kArpgiYcvGn5dYeHh6O4uJiKn1Pc/r0ad0iqbpHiA8r+/Cbf9kABweWWVUPTEkwfuzYMZSVlc25QKytrcWuXbuouvW3tLRQc84AgNLSUmryJyUlUfN2bG1tpbZIpGmBEgqFVD7vMakKfl7uBhcBUqn08TJpTkf6G1J4fX191ExVO3fupKZMIyMjqVUIGBwcpPaZ0CzjExMTQ20V7+7uTjXjCjB1lrd+/XoMDg7hFxlN+Oa+GEQHeppdz87UtFGHDh1CdXX1DJP25OQkfH19qTmTTBMWFmZ2tnpDqFQqqt8dzTANmkcXNCvX0wrTGJtQwlFseCH32O3wgCn7N5/P19tGpVIZbGMu1dXV1NICLV++nFrQfGJiIjVlGhAQQM0BRKVSUT2X2LRpk1FnXQvB09MTH99qwNC4GC/uWoH09HSz03iZ4xG7Z88etLa2YnR0FAzD6Ir20nKcmKasrIzaLkmj0WDfvn1U+gZAbf4A6B5d0FwE9Pf3U+m3TyBDZMRyvW0IIeDz+dTMzA9jMwovJCTEYEzZ2rVrqf2YORwO1Zp4tALEGYahtjPdtGkTNVNvQEAA1ZpnEomE6moeABwcnfBhmwrJ4Urk5WQiOTnZ7DMcczJdsFgsbNu2Df39/aipqcH4+DjVXQYw5YlIK2YLmJp8aSkliUSCbdu2UekboHd0QQjB7t27qfQNgFosby9fhlUr9Mc38/l8qNVqqs/UgywphadWq6mt2tetW0ctTVdISIhRYRfmoFAoqCpTmi7+tM3INAt9AkBG3SCcnF2x3n/K63QhjjLmeiUSQhAQEICenh6qO4xpFAoFtaTOwFRMGK08qzSdmeRyObXkFUqlkpo1RKVSISEhgUrf3GE+GKH++WNoaAheXl6PV2oxAAgNDTWo8JycnKit2gUCAbUSQRwOh1rMUmxsLLUAcWdnZ6oKr729HSqVilr/hw8fRldXF5W+CSF4p6gVO73GkHzqJPbs2YOioiKzw0TM2UkLhUJwuVzI5XKcOXMGLBaLWpkXYOo90zovBqYWWLRiP4GpPKu0AtqdnJyoBYaPjY1RO5dlGIbab7BrcBzxa/TPe0NDQ1bb3QE2pPCM2eH5+vpSe2A5HA41hQeAmtegg4MDtZ0pMJWgmtaqeOPGjVQP42nGihU29KGnrQkX/vU0nJyc4OTkhKNHj6K+vt4sN++mpiaT2tfW1qK7uxvBwcFYtWoV2Gw2IiMj4e7ubnJfpoxJK/gZmDq/o5VyDgD8/f2pmeirq6upZVTy8/OjllFpcHCQiu+CQq0FX+2EzWsNKzxasYtzYVMKz5jcfLQeWBcXF2zatIlK305OTlR/yNXV1dT6dnR0pLaq9/DwoPqwOzs7o6mpyeIKWyKR4M9Zt/GFYzvB8Zppitm7dy+8vLxQVVVl0hmlKWa8nJwccDgcJCQkzPBuY7PZCAsLg4+Pj8Uz8BBC0N/fT20XA0zFwtIyZwKg+qzx+Xxq/ff19VEtmmxqjUdj6OZPgiXqg6Naf8WVwcHBx1PhGWPSBExfCZsCLW8lgG5MW0REBLWMK46OjtRKngCg5u03zcmTJ5GZmWmx/kQiEVo6ulDJd8Rzu+dOUbVixQps3LgRLi4uKCgoMOqMNTg4WO/1np4eDA4O4t69ezhw4MC8zilsNhshISHw9fW1qNJra2vDyZMnLdbfXNAMrpbJZGhubqbSNzB/8m9L0NHRQS3/p5ubG5XYwZYhCcI9DFeXt5s0jWhHC1rZ3wG6qYFWr15NbaKIiIiges7m5ORENWUcAOzfvx8dHR0L7kcoFGJsbAz3+QQbVoQiNmj+YFkXFxd4eXnh0KFDGB8fR0VFBQYHB9HQ0DDnjrOqqmrG32q1GgMDAxgfH0daWhqkUikCAwOxdetWg4sENpuN4OBgcDgci0zy0zt8msHsarWaanB1Z2cntf4JIbh37x6VvoEp0z+tz/7evXtU4mFbhqTYtnWLwWf1sTZpCgQCg3ZwmvkBExISqDmA+Pv7UzsjlMvlsyZMS0LD5DFNVFQUtUTB07i6ui7YFC4QCCAUCsHhcHC3X4WTG4z/kSYmJuKJJ55ASEgI3N3dUVRUBLFYjNzcXKSmpmJ8fBzDw8NITU1Fb28vampqkJeXBxcXFzg5OSElJQXr1683KZZzeqfn4eGx4MoUDQ0N1JIETNPW1kY1dWBkZCS1838ej0d10qZpzqR1/t88KAGGWw2eoT+2Cu//t/fecXFdZ/7/Zxh6Eb0X0SUhCQmEhIQa6qgrWduKYztxEsclsZ04m7ikbJK1v27ZbPKL7WykbBIntryxZUd0EEUUgehV9DKid2aGYWaYes/vDzJEBZjCnGGA+369eNlizj3nAe69zzlP9fT0hJWVlVazYlNTE7UEcUIItTD5rVu3UksedXd3p5ZDCAB1dXVUT3nx8fHUkueB2dMWj8cz+L7h8/kQiURwdHSE3TpXlHVP4miUt97zcDgchIWF4fjx43B2dsaJEydw4cIFuLu740tf+hIuXLiAoKAgxMbG4vTp0/Dw8FhSdB6Xy0VAQAAsLCwMjlaVy+UYGhqi6rsDZvMQaeYQlpWVUSv+4ODggKioKCpz8/l8nVqnGUpkZKTR5ySEoHVYBD8n7b/vgYEBqn7b+zEbhcflchEaGoqurq5Fx0VGRlJLlAQW70u2VGg1cASAffv2UZv7wIEDuHnzJrX5Jycnqf5ugNlgktzcXL2vEwgEmJqagr29Pby8vFDSOY4ANzuEeBjPhMzhcFBeXm60+e6Gy+UiJCQEUqlUr3qdGoqLi3Hy5EkKkv2L4eFhHDp0iNr8Q0ND1E53wGxQCa1oYIFAQC1PTiaTUQl4G5uWY1IiwyNnj2tdv6+vj1qz3/kwG4UHzCozbeYXX19fajuCoKAgaic8S0tL9PT0UJkbmC3oSyua0t7eXu9aj/oQGhpKtXuCBk0jVV0RCoWYmJiAo6PjnPO9nMfH/nDjd7CnmXjL5XKxadMmjIyM6GUJ4PF4SEhIoCaXBprVgoBZk78u7ZcMZWhoiJqPzd7entrJdGBggEp+cF2fEGGuNhjq61l0XHd3N+zt7demSRPQTeERQqjlbtHOadu4cSO1SjGenp5UG83SSuDWoKkLSZsTJ06gtrZW6ziRSIShoSG4ubndc09U9fCxM8T4hZNplrwCZu/t2NhYdHR06OQrUyqVEIvFJqmAUVVVRbXgtVQqpXYCk8vl1HLkgNmgElqpWP7+/lSqw1T18BFmJ9X6N+3o6EBkZCS1v818rDiFZ2trSy3BE4BOL0NDcXBwoLaTjYyMpLYTBGbD5mmewuzt7U1SQNba2hqenp6LtlWSSCTo7u6Gn5/fPaawaZkSrcMixK03vsLLz883+pz3w+FwsHfvXtTW1j7QwPZuCCEoKiqi4t+5n7y8PJw4cYLa/AqFgmq1IEIIteeOEEL1mSgvL6dSVKK6h4/4Df4IDQ1ddJxG4ZmSFafwALo5bR4eHtQUKofDoaY0OBwOtQhTYDZSk2byvI2NDWpra6mWrgJmf0/u7u6YnJycN1BGLpejsbER4eHhcHFxueez5iERvNfZwsfZ+Dtums127+fQoUO4devWgvd5QUEB4uPjqfaIBGZNmZGRkVQjQBsbG6l2XygpKaHWKokQQq0YBjBrxTB25RypQoWmIRGCHLRv7FmFFxmJ3t5erRF7NEPwaea8BAQEUFVKfX19VKMpPTw8qPpaTpw4YdQk8YWwt7eHp6cn2tra7vl5VCoVbt26he3bt8/bn6tzdBqR3nT6dh08eJDKvAtx7Ngx3Lhx44Ed/q1bt7BlyxaT9CdTKBTUmgBrCA4Opqq4ORwOtealXV1d1Bo8MwxDxT9b1yeEt5MNJBNDWjdx7e3ta1vhafKUtFW5t7W1pZa7JRAIqFZkoBW+DMy+NGmaHYeHh6l2WNf4mWjWNNXg5eWFdevWzVUjYRgG+fn52Ldv34Injs4xMSK96bzcSktLqcy7GCdPnkR2dvbcqbqhoQF+fn7UqnrcT3Z2NlX/FzBrtqO1gVUoFNSapwJ0FYJSqaTSZaXizqyPW5fIyzV/wuNwOIiIiNBq1tyxYwe1mzgoKIjqC7ekpITa3HZ2dlrt5kshPj6e6ukamC3iTTvJWUNYWBgcHBxQX1+PzMxMHD16dFF/TOeoeNHqKkuB5sl/Mc6cOYP09HTU1tbC3d2der6dhhs3buDIkSNU1ygtLUV8fDy1+bu7u6k2lN23bx+191xzczOVAL2ijnHsj/DUWmFFU7XIlCkJgJkpPGDWrKkt2lChUFBtHkqzLl5oaCi19AQLCwtq+Vwa9u7du2jAw1JxdHREU1MTdV+ehtDQUNTW1sLb21trc+HhqRkEuNLpFmBqk+bd+Pr6orGxEf7+/iaJmJNKpQgKCqJuNvX09ISHh/FTSDR0dHRQrUJE01rj6Oho9AjNSbEctweECLWVak2W7+jogKenp8k6nWswO4W3bds2rbUV161bR7WbNc0C1VFRUQ8EQxiTTZs2Ueu8DMw6umkqPAA4fPiwXvlySyElJQXf+MY3EBoaumhyPSEEoyI5vNfRKXZNu57oQpSWliIkJARf//rXkZqaStVHq0GtVlM/xRNCoFarqSlwqVRK9fQ4PDxM9XdEIzqzuHMcUX7roJZOaXXd1NfXUw3IWQizU3g7duzQKfvf0A7RuuDo6Eiti7iFhQXVl1tISAhVhRocHIyysjJq82vYs2cP1RQRYFbZnT9/fi5yc9euXcjMzJz3pS+WqzCjVMPTiU4AhFAopDLvYmRkZCAmJgYeHh7gcDg4f/480tLSqJ+uabcBAoCcnByq5lmlUknVDD09PY1du3ZRm98YxdTvp7B9HImRXggJCdFaRrGmpgY7duwwugzaMEuF193drfUFYGtrS203un37dmpNTzkcDiQSCbUEdA6HQ9XcCwC7du0yer+1+/Hw8ICLiwu1FBGNsrsbGxsbnDx5EqmpqQ+89Men5bC2tMA6WzrpA7QTz+8nJSUFSUlJD4Slnzt3DpmZmdTu/9TUVOqlyuRyOSwsLKg2qy0sLKSqUFUqFbXT6dDQkNHLlakZguKOcSRu8ERpaalW2WtqahAbG2tUGXTB7BSeh4cHgoKCtO7ulUrlkqvALwSHw6FWoBqYNdnROkECs78bmtGU7u7u8PbWv3iyPnC5XGp/h/mUnQbNSSc9Pf0eP4RUoYaDNZfaS4hm2bn7SU5Oxrlz5xb0WZ45cwa5ublG32xUVVUhISFBq690qUxOTlKtzalSqeDl5UXtXlAqlVQrGzk7Oxvdd1bVw58NOnSzwrp16xYdK5fLcfv2bfaEp0EXs+aGDRuoRUhxOBytRayXgqWlJdWHfteuXVQfGGtrazQ1NVH394SEhKC8vNyoJrbFlN3dnDt3DjU1Nejv74dQKIRMqYadFb2/Ge3i2Wq1GiKRCDk5Obhw4YLWl/XJkydRVFRktA2HSCSCh4cH1SLOGgYGBqgm8hNCsGHDBmrz19XVUQ1iysvLM3rAUEbjMJK2+MDayhJ79uxZdGxTUxMcHByoRpQvhNkqPG0nPAsLC6ohrbGxsdQ6oFtZWVGNwOJwOFi/fj1VhbR3715kZWVRm1/DyZMnkZaWZpS5dFV2GhITE2FpaQmJRIKa6krYUlR4NB34PT096OjoAJ/Px/Hji1ewv5vjx4+joqLCKH3qZDIZbGxsqEeB9vb2Ui2xB8ymFtFcIzw8nJo5lhBi9M2ASs0gq2kYZ7b6oru7GwKBYNHxtbW1iI2NNWkNTQ1mq/B0CVy5desWNRlcXV2phszGxsZSTXDv7OyEWCymNr+1tTUCAgKo9uHTcPbs2SUpPUKI3spOg6+vL/z8/BAcvhHjzSXUKtnQClrJyMiARCJBeHi4Qf3mDh06hKampiX5hZVKJRobG+Hn52fwHLrS3NxMrZ0OMFugQCwWU02poJksPzMzg8OHDxt1zso7sw1q40Pd0d3drbX7wXIFrABmrPA6Ozu17iz9/f2p9cZzcnJCXl4elbkBwNvbm2r39oMHD1IvSGwqk4SFhQUOHDhgULoIIQTp6ek4d+6cwetzOBw4OTnCddNeFBQUYGhoyOinf2MWOxAKhRAIBCgoKMDx48exefPmJZ1IEhIS0NPTY1A/PQBzSf206e/vN/rL/H56enqoBt3cvn2bqrl0YGDA6K6g9NvDOLnFF1wLjk6bDVbh3YenpycCAwNRV1e36Lht27ZRbV9iaWlJzSxobW1NPbx/586dVE95jo6OJmnpo1nLyclJL1+XWq1GdnY2Tp8+vWTziRXXAio1gxMnTsDJyQkODg5ISUmBUCg0yj1ijJccwzBIT09HX18fLCwscOjQIaOY3jgcDmJjYyEUCvX2DRt6stYXQggmJia0VvhYKnK5nKr/3cnJiWrKVUtLi1E32nKVGlm3h3Em2hcMw2hVpgqFAo2NjazCu589e/ZorS/I4XCo5rQdOXKEapK1s7Mz1WhKQgj1nKqEhASTFHzmcrlwdnbG1NSUTvlPCoUCBQUFOHbsmFHMQzaWFpCrZn+XTk5OcHV1xfnz59HY2IiBgQHU1NRQL4Q8HwzDoLy8HKOjoyguLkZSUhKio6ON3l/OwsICGzduhFqt1jk6OiMjwyTKDpgttGxtbU3VLzQzM4O+vj6qa2jzfy0FtVqN6Ohoo86Z1zIGZzsr7ApxQ11dndbKNjU1NVi3bh1Vpb4YZqvwEhMTUVBQsOgYS0tL8Pl8ajKIRCKq6QPx8fFUT2ABAQG4ceMGtfmBWUUUFhZGNapVg7OzM6ytrdHX17foqWpmZgYVFRXYv3+/0Rz0LnbWmJpRPrDugQMHEBgYiJiYGFRXV+PWrVsYGxvT+/ehT+UgPp+PtrY2dHR0IC0tDZs2bYKnp+dckA0tuFwuQkJCYGNjo9X/XFpaimPHjlGT5W4IIWhtbcXmzZuprqMxEdNidHSUajK7SqUyeouvv1f14ZGdgeBwOOBwOAgMDFx0fEFBARITE5clYAUwc4W3WM8uDfv27aPm8Pfy8qJSkUAD7R52wGy7I5ql0gCYtABscHAwZmZmFvR5icViNDc3IzY21qjmLRcHK6gYgmn5/AnZFhYWOHz4MBISEuDh4QGFQoGUlBTw+XwUFxfj9u3bUCgUC/6950tiVigUUKlU6O3tRWZmJiYmJnDz5k00NTUhIiICEREROH/+PJydnakFOdwPl8tFQEDAPZ0m7ofH4yEiIkJrtQ1j0djYiLNnz1JdY2ZmBjt37qT6ou7q6qJagKCgoECrQtKHfr4U5bxJPBQ7ayLVpW5pYWEh1f6E2jBbhbdx40Y4OTmhqqpq0XFKpZJaVQgAiIuLo2pm6OnpoSr/+vXrjW7euh9LS0vIZDKTFXzetm0bhoaGHmgRNTU1hTt37iAiIsLovl0nG0tYWnAgkGiP0rSwsEBUVBTOnz8PNzc37N+/H/b29hgfH0dPTw9SUlLQ0tKCzs5OJCcno6amBlKpFMnJySgpKcH4+DiSk5PnNnwikQjHjh2Dh4cH9u/fjwMHDswl5i8HXC4Xvr6+cHV1fUDpCYVCyGQyqkWb70apVMLZ2Zn670IikRglPWMxwsLCqP4cdnZ2Ru0NeLW6H4kbvOC1zhYzMzNobW1ddLxCoUBpaemyKjwQM+aRRx4hr7/++qJjGIYhycnJ1GQYHR0lQqGQ2vxyuZwUFxdTm58QQiorK6nOTwj9v8N8FBcXk4mJCUIIIXw+n7S1tZHJyUlq6yW8lU/KuyeozG3q350xUKlUpL+/nzQ1NRFCCJFIJKSsrIxIpVKTydDQ0EB6e3upr3Pt2jWq88vlcpKZmUltfoVCQfh8vtHmU6rUZPebeSSvZYQQQkhZWRkRCASLXlNaWko8PDwIwzBGk0NfzPaEB8yaNQsLCxcdw+FwqDas9PLy0irDUrC2tqZuEty8eTNycnKorsHhcLBv375FOw4Ym/3796OjowNtbW3g8/lwd3eHm5sbtfUC3ezQx6dTco52qTYaaE56Tk5OuH37NiorKxEbG2uyfoZisRhjY2NGb3NzP/X19VS6g99NdnY2Tpw4QW3+lpYWo8YLZDWNgGvBwcHI2Z56mzZt0pqbqDFnLpdlAjBjkyagux8vNDSUqjnNzc2Nam3Njo4OakWSAcDe3h7W1tbU/YXu7u5wd3enVqFmPiIjI9HR0YHp6WnqZrQgN3v0U1J4hiSFmwNcLhc+Pj6oqamBr6+vyfx2hBAUFhaaJL/Px8eH6kZKoVAgOjqaqh+2p6fHaP47Qgj+9yYP39wbAkvurMzl5eVa0zWW238HmLnC09WPp1AoqKYn0M4Z2b9/P7Kzs6musXv3bqrdmTWEhISYzJ/H5/MhEokQHx8PGxsbasXENQS52aNnko7Co924lxYMwyA3NxePPfYYCCHo7+83ybq3b9+meiLSoFar0dXVRTX6VaVSUS0DKJFIjNrUuqZXAN64BI/snFWgg4ODWjcEZuG/g5krPA6Ho1N6QmBgINVTBZfLRWVlJbX5ORwONmzYQDXnz9bWFkNDQ9Tm12BnZ0e9Vxgwm68kEAjg4OAAb29vbNy4ETY2NlRrlG7wWYe2ETq5djR7GNJCpVIhPT0dp06dgpWVFSIiIjA5OUm9ELamtBftmpkAkJaWhn379lFdIzc3l2rndJlMZlRz5v/evINH44PgaDO7CZDL5YiLi1v0mqqqKtjb22ttDEsbs1Z4AHD06FFcv35d67gDBw5gZmaGigw2NjYQi8VGz2G5Gzc3N+qh5Rs2bKBebgyYtedr26QshampKYyOjsLZ2XnOf8vhcBAUFISQkBDk5uZSWXez3zp0j0sgUxr/Pti+fbvR56SJTCZDdnY2zp07N+eT4XK52LZtG+7cuUM1srmqqsqo4fWLraOt8v9SGRgYoG7OvnnzptHW6J2U4EbbGJ5M+Nd8EolEq1/u+vXrOHr06LL674AVoPDOnDmD8vJyrUWKx8fHqSZxHz9+HN3d3dTm9/Lyovai1rBu3TpYW1tTTdbXcPr0aaSkpBh9XrFYjN7eXnh5eT3gs+NwOFi3bh2OHDlCZW1fZ1uss7VE28i09sF6UlRUZPQ5aUAIgVAoRFFREc6cOfPA5xwOB/Hx8WhsbKTyPJaXl2Pjxo1UTYzArKnWzc0Nnp6eVNextrameuoZHR01am3ODwq6cDraF34us4FJCoVCJzN2amrqkurZGguzV3i+vr6IjY1FRkbGouMiIiKodk+g3cMOmM3DoZnoDswm6tMquH0/J06cMGp0qEwmQ0tLC4KDgxf1GVhYWOD8+fNGV3ocDgdb/J3ROCA06rwAjJofRQu5XI6RkRG0tLQs6j/jcDg4ePAgysvLjWraHhkZAYfD0VqN3xhokv5pW126urqommYdHR2NdhrunZQguX4ILxwOn/teY2OjVr9cb28vmpubkZSUZBQ5loLZKzxgthmnLu1hQkNDqSVxW1hYoKWlhapZMyoqiur8wOzLyMbGhmqyuwZbW1ts377dKAWmlUolKisrsWXLFq0dlTVolJ4xAwLiQ9xQwTP+CdmYQQU0GB0dxcjICKanp3UO0T969CgKCwuhVCqXvL5MJkNXVxd27dq15Ll04fr161S7FgCzdSVpm2aLi4vh6OholLneu9GFM9G+CPX813zBwcFaN2vp6enYv38/1XZrurJiFN7169e17hbd3NyoRjsdO3aMqm9KY9+m+TMAs9VXaLY+uhsXFxfY2dktKUJUrVajsLAQu3fv1rsx5vnz55GTkwOBQGCU1I/doe4o500a/W9kzibNoqIiKBQKODk5ITIyUq9rk5KSkJOTs6SNHMMw6OjowLZt20ziA8rLy8ORI0eorkEIgUAgoKrwhoaGjNZhvmdCgtSGIbx4+N6cYV1695mLORNYIQpv69atcHd316ps3NzcqBZLtrW1xZYtW6jND8wmIBcXF1Ndw8rKCt7e3kbtwbYQ1tbWsLe3h0gkMminTwjB9evXcejQIYNzvE6cODFXCHypTXejA1wgUajQNWZc/5QpTtyGkJKSgpiYGAQGBhqci3b69GlkZmYavEkYHx/HunXrqDZd1TA9PY3AwECjnYoWWyc+Pp7qGiKRyGgn4t/d6MT5bX4I9vhXyb6GhgatBbtFIhEKCgqo1zrVlRWh8Dgcjk5mTTs7O+o5LTwej2qOmaurKyQSCfUXYExMjNauA8bC09MTcrlc73B18s/mrUlJSUsOUli/fj1CQkLg6OioU9TvQlhbWmBXiDuKOozb6Z32iUIfCCFQKBRIS0vDuXPndDYhL8bZs2eRmpqq9/0ml8vB4/FMlphPCKGaZK6hoaFhRfhtAaB5aAoZjcN48ci9pztXV1etf5ecnBxEREQsWzug+1kRCg+YNWvq8sAcOXKEapHXnTt3Iisri9r8wKwZyBSnr6ioKGqdJu5n48aN6O/vx8TEhM7XpKam4syZM0YLHLC0tERQUBAOHjyIlJQUgzcux6K8kdNi3Fwzc0k87+vrQ29vL1paWnD27FmjmhD19akSQnDjxg3qqQF3U1paSj0yU2PtoBms0tfXZ5TqUIQQ/L+MVjyZEIxAt3vdCRMTE1rvD3MyZwIrSOEdPHgQIpFIaxd0pVJJVVlYWVnBy8uLamK1hYUFpFIp9dOXm5sbGhsbTXLKA2ab+tbX1+sUrq7plE3DZ2Nra4vz58+jqakJPB5P7wotxzZ5o6ZXgEmx8crB0Sw6oCvp6emQSqXw8fGhlhd44cIFpKWl6XTPpaSk4OTJk1TkWGg9U0QSVlZW4vDhw1TXaGxsRGxs7JLnyWsdQ9vINL57V2QmMFubU5vZV6VSISMjw2zMmcAKUnjW1tY4ffo0rl69uug4Jycn9PT0UH2Jh4WFUVcS69ato1o1BJg1Fe/cuZN6/t/dHD16FMXFxVAoFm6zo1F2tImOjp4rPJyamqrzdT7Ottji74z81jHtg3VkuaI0RSIRpqamcP36dZw4cQIbN26kbmo7d+4c0tPTFw1kSUlJwYULF6jKcTeFhYU4dOgQ9aCYyclJ6pGmU1NTOHjw4JLnUagYvJnZipeORWKd7b2n0bGxMa0BTAUFBbC2tqbuq9SHFaPwAOCxxx7DlStXtJqiDh8+rLU301JwdXWlGq0JzPqcBgcHF1UMxsDe3h4hISHUm8TezalTp5CXlzevn9JUyk6DpaUlIiMjcebMGRQWFmJ8fByDg4Narzu1xQdpjcYr1WaM1A19yc/Px8DAAFQqFU6cOGGSUl0azp49i+vXr88byJScnGzSe2B4eBghISFG8VVq486dO0ZtTDwfAoHAKBaDj8p7YWnBwaM7740kVSgU2LZtm9brP/74Yzz66KPU85f1YUUpvBMnTkAqlaKkpGTRcba2tkYLx50PDocDb29v6oVyT506hcbGRqprALNJ+2KxGCIRnTqR85GUlIQbN27c88IztbK7GwsLCyQmJsLe3h5isRgpKSmQy+ULnuS/FOOPct4khoTGKWenj29zKQwODkIgECA9PR27du1CVFQU1WdlMU6dOoUbN27cUxIwNTXVpPcAIQQMw1BvkgzMKlaGYagrvIaGBvj4+CxpjpEpGX6T24H/OBs11xFBQ39/v9bKV1KpFP/4xz/w+OOPL0kOY7OiFJ6VlRUuXryIjz/+WOu4iooKqrLs2LGD+ktKo1hptg7SsGXLFpO9dIF/KRhN+6flVHZ34+DggA0bNuDcuXNoaGjAyMgI8vPzH1B8XutssTfcA9fqtJ8GdUFb8d2loFKpMDExgeTkZACzNS/PnDljkjB/bZw4cQK3bt3C9PQ0MjIycObMGZPWW5yZmcHAwIBJindXVVVRN2feunXLKC2Tfp7ahKObvLA/4sEAntu3b2s1Z6ampiIgIAAxMTFLlsWomKLLrDG5desWcXFxITKZbNFxExMT1DuJ9/T0EJVKRXWNyclJUl5eTnUNDQ0NDUShUJhkLQ0SiYS8++67RCKRmHRdfZDJZCQ5OZm0t7eTrq6uOVnTGgbJwXdvELV66R2cq6qqljzH/XR3d5OcnBwyMTFB6urqjD6/Mfmv//ovMjIyYvJ1TdVpvrOzk/qzxTAMGRwcXHJH8etNw2TbL6+T8ekH37Hj4+NkbGxM6xxnzpwhb7zxxpLkoMGKOuEBs33d3NzckJmZueg4Nzc36p2QbWxsUFNTQ3UNNzc3SCQSk5gbo6OjqXdGvxtCCPLy8vDUU0+hs7OTajrJUrCxscH58+cRHh6OwMBAlJSU4MaNG4gPsMPk6CCKO5eek6eL31AbhBCUl5ejpaUFHR0dEIvFOHbsGNzd3c26G0NeXh6ee+459PT0YGRkxGTrmsqqwDAMFAoF9YLXcrkcvb29Szohi+Uq/Dy1GT8+tQkejvObXrXNPz4+juvXr+OrX/2qwXLQYsUpPA6Hg8cee0yrWZPD4YDP51ONpvTx8cHY2Bj1JPHDhw9rbYJrLJKSknSqW7pUGIZBZmYmzpw5A1dXVwQFBWF4eNikZlV9sbCwgLW1NY4fP47Dhw/D2dEBpza44hfv/RWDg4Oor68Hj8czaG5tFSvuR6FQQK1Wo66uDmlpaeDz+SgqKkJwcDCioqIQGRmJ6Ohog2QxJQUFBXMl43bt2oXR0VH09fVRX7eoqAinTp2ivg4AdHd3g8PhUDfVZmdnLzln8VfZbVjvbo+HdwTM+3lpaekDXUru57PPPsOuXbuo9vgzFA6hqREo0d7ejm3btmFkZGRR27tUKsXNmzepdkYmhKChoYH6DlqTrGqKAIOxsTHweDzs3r2byvwqlQo3btzAkSNH7ongEggEmJychK2tLQIC5n/gzI3xaTn2vXMDac/vRYi7HVpaWsDlcmFra4vm5masX78eQUFBGBoago+PD1xcXMDhcB6IXGtqanqgbJ2m4o5arQaPx4O9vT0cHBxQX18PLy8vREVFYWpqirolgwYMw6C4uBgxMTH3BIxoOoxzuVyEh4cvMoPhjI2NgRACb29vKvPfDcMwSEtLo36SbGtrg5OTE/z9/Q2e42bnOJ79qAYZL+6/p4SYhrq6Onh5eWldIyEhAU888QSee+45g2WhxYpUeMBsxZOnn34a3/72txcdd+PGDezbt8/gOoy6cOfOHQQFBVENv1UoFGhoaMDOnTupraGBEIK+vj6o1WqEhoYadW65XI6ysjIkJCTM+zeRSCQQCAQYGxszSuKsKfjR1QZYcDh456EHT1QSiQTW1tbo7e2FWCxGZGQkCgoKoFarcfjwYZSVlUEikWB6ehrr168Hn8/Hzp07MTQ0BKFQiOjoaKjVajAMA29vb1hYWJhVmLchSCQS1NbWIjo6et7oSLVajb6+PsjlcmzcuNGoa8tkMvT398PT09MkgSoVFRUmyUMbGxuDs7OzwRGgQqkCJ35bjO8dicRX4+ffQA0NDcHb23vR+6+7uxubNm3C8PDwskX/LsaKVXjvv/8+Pv74Y60lmWZmZiCTyai2pmhtbYWVlRW1HamGyspK+Pv7L2kXpyszMzMYGRmBm5ub0UK2JRIJmpqaEB0dDTs7uwXHMQwDkUiEqqoqHDt2zChr06RrTIxTv7uJ/B8cfKD8kq7Md8JbjfT19UEgEGDDhg2LJrir1WoMDQ1BJBLpbe5dCEIIeDweOByO0Tdy8yGTycDn8+Hn50d1HUIIiouLl5Rs/sL/1UEqV+F/vx63oOm1vLxcq9Xnxz/+Mdra2vCPf/zDYFlosuJ8eBqeeOIJ3L59G/X19YuOs7W1pZ7LtmnTJpMkbu/atQu1tbUmKQVmZ2cHGxsbTE1NGaVHn0gkQldXF6KiohZVdsCsr8zFxQUHDhwwiT9xqYR7OeL0Vl+8d8Pw5r0rpZDwUqioqIClpSW2bNmi9eflcrnw8/ODi4sLmpqajLJ+f38/RCKRSZQdMNvc1RTPampqKvbv32/w9Sn1gyjtmsDb/xa9oLLLy8vTuiFTKBT485//jGeffdZgWWizYhWes7MzHn30UVy6dGnRcRwOB9bW1npX6teXU6dO4fbt21TX0KxTXV1NfR0A8PPzg1AoBJ+/tIanQqEQg4ODCAoK0iv3y8bGBqdOnTJ653IavHgkAsn1Q+iZMKzChSkr3SwHWVlZ2LZtG/z8/HQ2yXK5XPj4+MDV1XXJSm9ychK9vb0mywvj8/ng8/nUrTGDg4OIiIgwuMB6z4QEP01uwttf3gpPp/nNoQqFAtbW1lprZ6akpMDBwcEoeYC0WLEKDwCeffZZfPzxx5ienl503J49e/QuEKwvlpaWcHR0pB6xyeVy4evra7IuB9HR0WhqatKp4PN88Pl8TExMwNPT0yCzMpfLneuUQbMt01IJ8XDA+W1++O9cw+4zU5iplwtNUWZDTrEapefs7GxwuUCNz3AppyB9YBgGpaWlOHDgAPW1uFyuwa2TZEo1nrtSi4d3BOL45oUrs8jlcp386ZcuXcIzzzxjtO4mNDBfyXQgLi4OGzZswJUrV7SO3bRpE9WKJRwOB2Kx2CR5RD4+Prh9+7bJuhwcOnRIa8Hn+eDz+ZiamoKzs7PWUObF0PRDLCoqglAoNFvF94PjkchrHUV1j/4n4qWWgjJHlErlXF3MpYTka8ybdnZ26OzUz2ysVCpRUlJiUl9weXk5zpw5Y5K1uru7YW9vmN/4Z8lNsLfm4rVTiwcGVVZWwsHhwajNu2lvb0dJSQmefPJJg2QxFSta4QHAd7/7Xbz//vtaX/5isRh37tyhKsvWrVtRU1NDXRFZWloiIiKCevm0uzl16hSys7N1VjZ8Ph8ikQgODg5G6y926NAhiMVi1NfXY3Jy0ihzGhNfZzt8JzEMv0hrhprR7x4wlZnaFEgkEkxMTODGjRtG63jA5XIRGDhbxLinp0enaxiGQUVFBfVWPHczPj6OiIgIk5RHS01NNTjv7tOqPtxoG8MHX42FFXdhNdDf3z+XSrMYH3zwAR5++GF4eXkZJI+pWPEK7ytf+QpGRkZQWFi46Ljg4GC0t7dTV0bnzp3TKosx8PHxAYfDMWllinPnziEjI0Pr71AgEEAoFMLe3t7oD0BAQAC2bduG9vZ26lVuDOGp/aGYmlHiarV+hcWXcgI2J+rq6jA+Pg6pVGr0/Fcul4vQ0FBMT09jeHhY63hNkJSpukAQQtDZ2WmScPyWlhZERUUZZD68PTCFX6a14HePxsDHeXEzM4/Hw44dOxYdMz09jQ8//BDPP/+83rKYmhWv8Ozs7PDUU0/h/fff1zr27NmzKCsroyoPh8PBli1bDPZ56UN8fDza2tqo+w3vRlPhfiGmpqYwPj4OJycnars9LpeLhIQEeHp6IicnZ94WM8uFrRUXPzsdhXevt+vVINbY+WbLQVpaGgIDAxEYGEgtGZ7L5WLz5s0YGBhY9JQ/MTEBlUoFNzc3KnLMR3FxMTZt2kTdh0UImVP++jIyJcNTf6vC945EYG/44psssVisU7Wev/3tb9i4caNZ9b1biBWv8ADgueeeQ3p6ulZTh4WFBUJCQqi/IOVyudb2GcYiLi4OAwMDJlkLmH3hxMfHz9uiaXp6Gv39/XB3dzeaGXMxgoKCkJiYiJaWFurman04FuWNXcFu+Hmq7pGXpaWlFCWiCyEEKSkpOHXqFDw8PKgnxltYWCAuLg6tra3z1pidnp5GW1sboqKiqMpxN3fu3IGLiwvVfF8NarUahBC9FatErsK3/lqFxEgvPH1Au7JsbGzUWrCDYRi89957+O53v6uXLMvFqlB469evx4ULF/DrX/9a69jx8XHq9RoDAgLQ3NxskpOXo6MjhEKhSU95jo6O2Lhx4z3+ypmZGXR0dCAgIMCkFRasra2xbds2eHp6Ii8vzyhFmJcKh8PB6xe2oKRrAlm3tZveAGgNCjBHNH3RiouLcf78eZNWgOFwONi3bx+qq6shlUrnvi+Xy1FZWYl9+/aZTBaZTIbe3l6dmqIag8zMTL0tAmqG4Puf1mOdrRVev7BFq09OLBZjZmZG632ZkpKC6elpfOUrX9FLnmXDVG0ZaFNbW0vs7Ox0ajFiqpYgqampJlmHYRiSlpZmkrXupq+vj7S2thKZTEZKSkrI9PS0yWW4n8rKSlJQUEBmZmaWWxSSXDdAdryeQybFcq1jzeF3pw9paWmks7OTiMXi5RaFXL9+ncjlcqJSqUhWVpbJ129vbydSqdQkaxUVFZHJyUm9r/t/GS3k0K8KiECi/V4khJCCggKtYxiGIXFxceTXv/613vIsFyu2tNh8nDp1Ctu3b8ebb7656DipVIrW1latztilIpPJ0NPTYxL/jFgsRnl5ucmTPltaWlBfX48vfelLWiuomAq5XI6JiQkMDg5iw4YNJulmPR+EEDzzUQ0IgMtP7Fh0V20uDXAXQywWg2EYlJSU4Pjx49Tb3ehDeno61Gq1yX+HcrkcPB4PmzZtor7WxMQEhoaG9O6Ccbm4G38o4uGL5xIQMk9R6PuRSCSQy+Va/Z95eXm4ePEient7tSalmwurwqSp4bXXXsMHH3ygta+anZ0dvL29qUdsWltbw9LS0iRBFY6Ojli/fj3a2tqor6WBYRj09fUhMjISk5OTJssL1IaNjQ38/f3nSrEVFxcvi2wcDgfvPhSN5sEp/Lm0Z9Gx5qQ85iMvLw/Dw8OQSqU4deqUWcmrKX1nYWFh8hzN/Px8kyg7YLbLiL4td/5e2Yf38rvwt2/u0knZAUBvb69OOctvvfUWXnzxxRWj7ACsHpOmhr1795K33npL67jS0lIiEomoy9PS0kJ4PB71dQghRK1Wk5aWFjI0NER9LY0ZVa1WE0JmTcqDg4Nz/zYn+Hw+aWpqIh0dHWRiYsLk61f3TJKNP80i9X2CBceYo0lTLBYTkUhEkpOTzVI+Qma70WdmZs79OyUlZckdv3UlJSXFZPc7wzDk1q1bel2T0ThENv0si5R3637PK5VKnVwxFRUVxMHBwSDz6nKy6hReeno68fLy0smmbipfXnp6OlEqlSZZa3p6mnR0dBCJREJ1neTk5AdeLOas9AiZfWkUFxfPKWpTvRgJIeQPhV1k79v5RChRzPt5dna2yWTRhkqlIikpKaS/v5/09fUttzgLMj09TXJzcx/4vime64yMDCKX6+YPMwbXrl3Ta3xR+xjZ+NMskt+qPabhbnS9Dy9cuEB+8IMf6DW3ObDqFB7DMCQ6Opp88MEHWsdKpVJSWFhoAqlmHxBT0dfXR/r7+6m90K9du7bg3PX19aSvr88sgkYWQqVSke7ubtLY2EiKiopMsqZazZBvfVhFHvtjOVGoHtwQmGrztRitra2kr6/vnpO7OcIwDJmYmCDFxcULjplvQ2Ys8vLyTHrizc/PJ1NTUzqPL2gbJZt+lkWS6wb0WmdiYoIIBAKt45qbm4mNjQ0ZGNBvfnNg1Sk8Qgj55JNPSHBwMFEo5t9N383AwACRyWTUZZJKpaSjo4P6Ohqqq6uJUCg0+ry6vJi7uroIj8cziWl1qUxOTpKMjAwyOTlJ2tvbqa41LVOSE78pIj9Lvv3AZ7q8aGgglUpJQ0MDuXbtGpFIJCazRBiKUqkkbW1tpLW1VetYGibHmpoaMj4+btQ5F2NkZESv90ZeywjZ+NMsklI/qPdara2tOr0zvva1r5GnnnpK7/nNgVWp8JRKJYmIiCB//OMftY7t6OgwiR2aYZi5EH5TkZ2drZPS1xV9TiFCoZB0dXWRpqYmo61Pk5mZGTI8PEySk5NJc3MzGRgYoGKy6puUkNj/zCF/u3Xnnu/rEgZuDJRKJZHL5SQrK4tcv36dTE9Pk+HhYZOsvVRmZmZISUmJXs+rMd0JfX19pK+vz6R+u/7+fp03rlm3h8nGn2aRzEb9N5pisZjk5ORoHdfW1kZsbGxIZ2en3muYA6tS4RFCyN///nfi7++vky9PX/u4oYyMjJDa2lqTrKXBWLtcQ0xuKpWK9Pb2ktLS0iWvb0rkcjmRy+UkIyODZGRkEIlEYlSlUHVnkmz6WRbJuv2vFxPNe1Amk5Hh4WFy7do10traSu7cuWPWJuf5EAgEJDc31yDllZWVteSNplgsJnfu3DGpKVMmk5HKykqdxqY1DJKNP80iOc36+ew0pKSk6DTuoYceIk8//bRBa5gDq1bhqdVqEhsbS9555x2dxpoqcbu8vNzkpr6l+jOW6l8aHR0leXl5S5pjuWAYhojFYtLU1ESSk5NJT08P6e7uJqOjo0uaN7d5hGz6WRYp7Zo1jxlToU5OThKZTEby8vJIeno6mZqaIi0tLUab39QMDQ0t+QScm5trcJK8Wq0mPT09pKenZ0ky6Iuuz92fS3gk6mdZ5EabYfdkV1eXTgeDyspKYm9vTwYH9TeXmgurVuERQkhOTg5xcXEhfD5f69iRkREyNjZmAqlMG7WpQdcd3P0YK5hCJBKRzMxMk0ZG0kAmkxGJREJKS0tJRUUFGRgYIMnJyaSzs5PIZDK9TtOfVfWRLf+RTRr7haSsrExvWRiGIUqlkjQ2NpKWlhbS1tY2d4oTCAR6BTqYI2q1mnR1dZHy8nKjzFdQUGCQr3R4eNjklhldnju1miFvZrSQmP/MIbW92t9x88EwDOno6CAqlUrruMOHD5NXX33VoHXMhVVVaWU+jh49iri4OLz99tuLjpuYmIBarYa3tzd1mQghKC8vN7iXlSEwDIMbN27oXImFEILU1FScO3fOaL295HI5CgsLcfDgQYO6X5srhBDcuXMHvr6+KCoqglwux4EDB9DY2AixWIzdu3eDz+eDy+XOdTa3tLQEl8vF/97k4b0bXfhWwARe/NZXAcwmUltYWEAkEoHP58PPzw+NjY0YHR3FgQMHUF1djenpaezatQtDQ0NwdnZGWFiYSXqwmYqZmRn09vZCrVZj8+bNRpmTEIKysjKEh4fr3MljamoKdXV1SExMNIoMulBUVIRdu3YtWrlIrlLjR1cbUd8vxF/1SCq/n9HRUfT29mLXrl2LjsvJycFXvvIV8Hg8uLi4GLSWObDqFV51dTUOHjyIjo6OuZfNQuTk5ODQoUMm6Z81OjoKLpdr0j5oYrEYnZ2diImJWXQcwzDIzMzE6dOnjf4SZRgGlZWVCA4OXpVdvu9HpVJBqVRCJpPNNdOUy+Voa2tDcHAw7O3t8d+f5iK9cRj/++8XIRnsgKenJzZt2oT6+nr4+/sjJCQEfD4fnp6eJi3QvFwMDAxAKpXC3t4eAQEBRp2bEIK6ujp4eXlpnVsmk6GwsBBJSUlGlWExxsbGoFar4evru+AYvkSB71ypgVShxp++vhOeTjYGraXZ1Gorx8YwDOLi4vDoo4/iRz/6kUFrmQ3LdbQ0JQ8//DD59re/rdNYU+VDMQxDbt68afJ8p56enkUjrJRKJcnKytJq4lgKd+dRmXsYvKn42Z/SyNafZ5MaA01Tq4WcnBwyOTlJtRizWq0mzc3NpLu7e8Ex91dwMQUqlYrcuXNn0SjU5sEpsvftfPLsR9VELFvas6NLVCYhhPzf//2fzgGA5s6aUHjt7e3ExsaGtLW1aR2rUCjmrd5AA014uKlpamqa1/Esl8tJfn6+UVMZFoNhGJKamrpiwuJpkpycTP56686Sgg9WMmq1mly7ds1kG0CVSkW6urrmfSdIpVJy/fp1k8hxN2NjY6Surm7Bz1PrB0nUz7LIe/kdS/aFDw8P65TuIJfLSVhYmE4pXiuBNaHwCCHkmWeeIefPn9dp7MjIiMlqxGmrGEGLioqKe35GiURCSkpKliVcvaysjNTX16+KHaShaBKpNeHln1f3L7NEpkGlUhGhUGhwUNVS1+7t7b0nV1QsFpP8/HyTB1fNzMwsWNZLqVKTt7NayZafZ5O8FsPSDu6GYRhy+/ZtnZ713/3ud2Tjxo2rxhKz6n14GsbGxrBhwwZ88sknOHnypNaxSqVSq8/PWLS3t4MQYpI2QndTXFyMHTt2gGEYdHZ2IjIyctkqn4+MjGB6ehoqlcpk1efNiba2trm/f2nXBJ75qAZPHwjFC4fDV1Uwyt3weDxYWlpCKBTq3fLGWKjVagwPD0MoFCIoKAi3b9/G7t27TeorJYv40oanZvC9v9djUizHpSfiEO619OdzYGAAo6OjWtujjY6OYsOGDfj0009x4sSJJa9rDqyq9kCL4eXlhTfeeAMvvvii1tYXXl5eaGpq0qlFhjGIjIyEXC4Hn883yXoaDhw4gJycHHR1dSE0NHRZ23z4+PggPDwcwcHByMzMNJtWQ6aivb197v/3hnvg6rN78GlVP57/vzrMKNTLKBkdsrOzYW9vDw8Pj2VTdgDA5XLh6+sLCwsLZGVlIS4uzuSBQZmZmfMqu9yWUZz8/24ixN0BaS/sM4qyYxgGtbW1OvUCfeWVV3DkyJFVo+wArI2gFQ0qlYrExMSQN954Q6fxpqrAQgghU1NTpKury6SmFD6fT9rb28nf//53k/ntdOXatWtEIBCs+Lw9XZnPdzMxLSMP/88tcur/KyaDgtVh7mUYhiQnJ5tVpZfR0VHS0NBA2traSHNzs0nXrqioeODZm1GoyM9TmsiW/8g2qCbmYuiawF9SUkIcHBxIb2+vUddfbtaMSVNDWVkZjh49ipaWFqxfv37RsYQQ5Obm4vjx4yaRrbW1FT4+PnB1daW+Fp/Ph1AohJOTEzw9PZGRkYETJ06YVWPP4uJi+Pv7w8LCQu/GlyuNnp4eBAcHP/B9hYrBz1Obkd00jP++uB2HNuiWP2ZuDA0NwcbGBnV1dTrngpoCTQqEn58f7OzsMDAwAJlMhg0bNlBfe3BwEBwOB35+fnPfa+gX4odXG2BvzcXvHo3BenfD8uvmY2hoCHZ2dlrfLyqVCnFxcXjkkUfw4x//2GjrmwNrxqSpYc+ePbh48SJeeuklrWM5HA527tyJ/v5+E0gGbNq0CXV1dXMdnGnB5/MhEong6OgIT09PAMDp06eRnZ1NfW19OHDgAAIDA+Hl5YXU1FSTmZiXg4aGhnm/b21pgbe+vBU/OxOF56/U4q2sVijVpu3qvVTS0tKgUChgZWVlVsruzp07c756R0dHcLlcBAQEwNLSEjwej+raMzMzGB4enstFlSnVeDurDRcvl+H8dj98/lyCUZWdWq3GyMgI1q1bp3XsH/7wB0ilUvz7v/+70dY3G5b5hLksjI6OEhcXF51SAmQyGWlvbzdplBLNiLXJyUnC4/EWrAW5HGXPdCUjI4N0dXXpVCpupaFLabHO0Wly/L+LyJc+KCE9E4bVhTQVEomETE1NkdTUVLO8nzo6OkhPT8+8kcEqlYo0NzeT/n46kbIMw9yT/lPTyyeH/6uAnH3vJmkbFlFZs7KyUqcamKOjo8TZ2dmsGhIbkzVn0tTwwQcf4Le//S2amppgY7N4pYKWlhbY2dmZ1KyWkpKitQKCvgiFQkxMTMDZ2XnuZDcf2dnZOHDgAOzt7Y26vjGYmJgAl8tFZWUljh07BguL1WGkGBkZ0anyjEypxpuZrfi8ZgCvntyIx+PXw8LCvKI48/LyEBYWBisrK6NXSjEGjY2NcHV1hZeX14LPPsMwqK+vR2Bg4KLPiiHk5uYiISEBCljhVznt+EftAF48EoGn94fCkmv8+3lkZAQ9PT3YvXu31rHf+MY3IBKJ8MUXXxhdDrNguTXucqEJYPnlL3+p0/jr16+bPE/MmFVfNBXzdW1eWVZWRoaGhswumOVuUlJSyJ07d0zaY5AW+gZIlXSOk4S38smjl8tI36SEjlB6wDAMkUqlJDk52eCuBKagsLCQDA8P61RJiGEYUlpaatTmvMXFxWR0bJx8XN5Dtv3yOnnyzxXkzji935dSqdT5tFZcXLwqA1XuZs0qPEJmu4Lb2dmR+vp6ncYvR3Jsenr6kucQi8Wkrq5Ob1NgT08PaW5uptI53Vi0t7eT0dFRUlRUZFaRf/piSPsb0YyCvPpFA9n0syzyQUEnkStNW6ZOQ35+Punv79f5OVousrKy9FZeDMOQgoICoyjx6upqkn6rkZz53U2y7518kmtg7zp9aGxs1GnTKhaLSVhYGPnNb35DXablZM2aNDX87Gc/Q3p6OiorK7UWjWYYBlVVVYiPjzeRdIBSqURpaanB1drlcjnq6uqwefNmODk56X399PQ02tvb4e/vv2hBW3MgOzsbLi4uiIqK0sk5b04IhUKDq9BX9fDx02tNUDEMXr+wBQlh9AuST05OYmZmBjU1NTh+/Piilf3NgfT0dBw9etTgLh25ubk4cOCAVvfHQlwvrcFfbvWjcdoWTx8IxbMHw2BrRTffTyqVYmhoCOHh4VrHvvjii6irq0NRUdGqcRPMy3Jr3OVGLpeTrVu3kl/84hc6jR8cHFxy8099EQgEpLq6Wu/rlEolKSgoWLIpVq1Wk8rKykWLTpsLUqmUTE9Pk9zcXFJTU7Pc4ujMUs3XCpWa/LG4m0T9LIs8+1E14VEwkzEMQwYGBkhKSgoRCoUm6x+5FBQKhdECsTIzM/WeZ1AgJd9+P50Ef+dP5Mef15NRkWmsEAzDkOvXr+uUx1pYWEgcHBxWxPO9VNb8CQ8AamtrsW/fPty6dQvbt29fdKxarUZVVRV27txp0ooMfX19UKlUCA0N1Wk8wzDIy8tDYmIirK2tjSJDc3MzFAqF1vZC5kJfXx/Gx8fh7e0NqVSKyMjI5RZpQa5fv26UihajIhl+m9eBL2oH8ZWdgXjxSAQ8HA07lWiYmppCb28vHB0dMTk5iZ07dy5ZTlPA5/PR3NyMffv2Ga08W3p6Ok6dOqX1FDQknMHlYh4+vlGHvcHO+PFDCdgQ4G4UGXQhKysLhw8f1noilUgkiI6Oxosvvojvfe97JpJu+WAV3j/5j//4D6SmpqKyslKrgpienkZNTY1Jm0ISQnD79m34+/vD3X3xB4cQgszMTCQlJRldKff29mJ4eBhxcXFmlaS+GAzDoL29HR0dHTh48CDEYrHZRQ+KxWKjlnbrHJ3GO9ltKOfx8fWE9fjWvlC4Oei+8RkZGYGTkxNKSkpgbW2NQ4cOGU02U9DS0gJLS0sqm5zU1FScPXt2XiXKGxfjD0XdSK4fwoEgezyyzRXxG9fD2dnZ6HIsRGlpKSIjI3WKLn3hhRfQ0NCAwsLC1W3K/CeswvsnCoUCO3fuxJe+9CX84he/0Dq+p6cHQqFQ64nQmBBCUFpairi4uEV9EYs9kMZgYmICPT09CA8PX3Hdj0UiEaRSKSoqKhASEgJ/f384Ozsvu/LOyMjA6dOnjT5vdQ8fv7vRheoePh6LD8K3D4TCy2n+e2d4eBhcLhdlZWUIDg5GZGQkbG1tV1TxakIIioqKsH37dqr35t1pQ4QQ1PYJ8eeSO8htHcWF7X74+i4/ODAS2NjYmNT33dnZCUKIToq+sLAQZ86cQX19vU5+vtUAq/Duoq6uDnv37tXJtAkAVVVV8PPzM1lXBeBfpsqjR4/OuyNLSUnBuXPnqL+kJBIJBgYGwOVyV+zDIpFIYGVlhZycHDAMg+PHj2NmZsYkpd3uh0be5d3U9wvx/o0ulHSN48J2f3w9IRhh7raQyWRoaWnByMgIDhw4AAsLixW3idGgVquRlZWFkydPmsTd8Nnn18AExeKj8j708aV4eEcgvrU/BN6OVhgYGADDMDq7IIzB9PQ0+vv7ERkZqXUDJxaLER0dje9///t48cUXTSTh8sMqvPv4xS9+gatXr6Kqqkpr4jUhBBUVFYiOjjZpkjbDMMjMzMTp06fvUWy0X5r3o1arIRaL55LAVzKEEAiFQoyMjKC9vR0xMTGws7ODg4MDHByMV+JpIYxt0pwPhmFws6EDyU18fJaahQh/D/zgaxeQGOGOdU7L1yljqRBCMDExgfLycpw9e5b6eu0j07ha3Y+rNQPg9tfgB996FF/eEQB7a0uo1Wr09/dDKpUiKiqKuiwaCCEYHh6GpaUlvLy011v99re/jY6ODhQUFKwJU6YGVuHdh0qlQmJiIjZt2oQ//vGPWseLRCKMjo4iPNy0fcsIIUhLS8O5c+cAmF7Z3U9ycjJOnz6tNbVjpSAUCmFpaYmysjJYW1tj69atqKqqQlRU1FxBa2OiObUbC6VSCalUisbGRvj6+kImk4HH4yEuLg6Ojo5QWdjg0+oBfFTWAxVD8KVYfzwUG4AIb/1TV5YToVCIsbExTExMICEhgdo6Y9MypNYP4R+1g+geF+PEZh88vns9dga7IiMjA0lJSbCwsACPx4NKpTJ5b0uZTIbGxkbs2rVL69hPPvkEL7zwwlwlmbUEq/Dmob+/H9u3b8f777+PRx99VOv4lpYWBAQEmDz3ixCClJQUcDicZVV2GjIzM7Fjxw64uroaLTLUXCCEQC6Xo7W1FSEhIairq4NIJEJCQgKkUimsrKzg5eUFCwsLg5ShIRsWzaM7OTkJoVAIf39/FBQUQKFQIDExEf39/fDz81s0yEnNEJR0TeDzmgHkNI9go+86fDnGHyc2+8DH2bCcNVNRUVGBgIAAWFtbG738FwCMT8uR3zqKrKYRlHZNYGewG74U64+TW3zgZHvvxi4jIwMBAQFwdHREWFiY0WVZDEII0tPTdTrddnZ2YseOHbhy5YpJTsPmBqvwFiAtLQ2PPfYYampqEBERoXV8fn4+Dh06ZHLzQEpKCgghuHDhgknXXYi2tjbY2dmZrMXKciMWi6FQKNDV1QVnZ2dwuVw0NTUhICAAPj4+qKmpgb+/PyIiItDX1wdPT094eHhgcnISFhYWcHNzg1gsxsTEBIKCgiCVSiGTyeDk5AS5XI6xsTHY29tDrVajoaEB69evh4uLCxoaGuDp6Ynw8HB0dHTA398ffn5+sLKyMvgenJpRIr1xCKn1Q6juFWBbgDOStvggabMvgtzNp64q+WeH8JMnTxp1Y0UIQc+kFLktI8hpHkVdvxDRAc44HuWDc9v94O8yf3I9IQR1dXVoaWnBl7/8ZZPXoE1OTtbp+ZfL5dizZw8SExPx3//93/QFM0NYhbcIP/jBD1BYWIiysjKdKiykpqbOmRhNwd2nguU2ad6NQqGARCLBrVu3qEQerjQkktlovd7eXkxPT2PDhg1oamqay2lsbm5GeXk5nnjiCfT390MsFiMyMhJTU1OQy+VzfRvt7OxMZjafEMuR2zKK7KYR3OqeQKCrPfZFeGBfuAf2hLk/cMIxFVKpFLm5uUa718dEMtzqnsSt7gmUdk1ifFqOhHB3HI/ywdFNXvBap/2Ue3cawI0bNxAXF2cya4+uyg6YraZSVlaG0tLSVWeB0RVW4S2CQqHA3r17sWfPHvzud7/T6RpTKB7NDvf+dcxJ6QGzQS1paWk4f/78igptXw70eXGZmmmZEuU8Pm52jqOkcwJ9fCm2BjgjNsgVMUEuiAlyhZ8z3fSFiYkJKBQKdHd3Y//+/QbNoVIzaB+dRkP/FBr6hajpE4A3LsZmP2ckhLkjIdwDO4NdYW+te4pKQUEBYmNj78mzKykpwcaNG+HhQbfEW1pams5myWvXruEb3/gGamtrTRo5am6wCk8LPB4PsbGx+Mtf/oIvfelLOl1DU/Fo7PVnzpyZ9wVjji/OrKwsJCQkwM7Obs3uLLUxMDBgdsnwCzEonEEFbxJ1fULU9gnQNjINdwdrbPZbh0gfJ2zwdkKktxPCvRyNUi+ypKQE69evh52dnU5KhBCCUZEcnWPT6BoTo2tMjPaRaTQNTcHSwgLRAc7YFuiC7YEuiA9xg4u9YffkQtVMCCGorq5GQEAAtRy8wsJC7Nu3T6f80Z6eHsTExODy5ct4+OGHqcizUmAVng5cvXoVTz/9NGpra3XqiadJGzhz5oxR5VCr1bh+/fpcRNhCpKam4syZM2YVbszj8eZC/3fs2LHc4pgd1dXViIuLW24xDEKqUKFxYAptwyK0j4rRMTqNjtFpiOUqeDvZwt/VDgGudvB3sYOfix3cHKzham8NVwcruNlbY52dFay5Fg/09dMEZR0+fBhOTk5QMQSiGSWm7vriSxQYnpJhSDgz999BwQzEChWC3OwR4eWIMC9HRHo5YVugM0I9HI3SP1DbM8YwDJqbm+Hk5ITg4OAlr3c3bW1t8PLygpubm9axCoUCBw8eRExMDH7/+98bVY6VCKvwdOTFF19EUVERSktLdcqXkslkqKmpwd69e42yvlKpRGFhIQ4dOqTTri47OxuJiYkGV4engVqtxvj4OCoqKnD27FmzUsjLjbmZo5eK5pTVL5BiUDCDAYEUg8IZDAllEEgVs18SJcRy1dw1VlwOrLkW4MimYGlpBVF/K+xCdkDFEKgYAjUz+6qytrSAs50VnO2s4GpvBT8XO/g628HPxRa+zrOKNdTTgUo3Ao0S1sWKolarwePxAECnwDddmJycxOTkJCIiIrSakAkhcxv1kpISs+9oYQpYhacjSqUSSUlJcHZ2xueff67Ty3psbAx8Pn/JOTkymQyVlZWIj4/Xqz1JcXExtmzZotNO0NQUFhZi06ZNkEqlJu0kb650dXWt2Io1S0GhYjAtU0KhZqBQMcjKzED4xi2wtrWHm5srrLgWsORyYGVhAVsrC6yzs6LeVmch9FF2GjSJ6DMzM9i0adOS1tfk2kVHR+u0kX3//ffxxhtvzJlXWViFpxeTk5PYtWsXnnjiCZ3qbarVavT29sLW1hZ+fn4GrSkWi9HS0oItW7YYFO5cX18PFxcXo5tVjIFUKsXk5CTq6upMGt1qjjQ1NWHLli3LLcayMDMzA4VCMVfb0ZRdSHRloUAxXVCr1RgaGsLU1JTBf2OGYVBSUoK4uDid3gP5+fk4d+4c8vLysGfPHoPWXJUYp8vQ2qGpqYmsW7eOXL16VafxcrmcNDQ0GNQ1XCgUGnzt3QwMDJDKykqdemMtB2q1mqSlpRGBQKB3R+rVwlL74a1Ubty4QXp7e8mdO3eWW5QFkcvlJDU1dUlzqFQqMjAwQG7fvm3Q9Xl5eTp3Xe/q6iJubm7kww8/NGit1Qx7wjOAtLQ0fPWrX8XNmzd1KjI9MzODhoYGxMbG6hylKBAIMDo6qrNzWhcZiouLcfToUbPcQQPA6OgoZDIZWltbkZSUtNzimJS1dMIjhGBmZga5ubk4duyYyRO1dUWtVkMgEKClpQUHDhwwynwjIyMQCoXYvHmzztfl5+dj165dcHLSXvZNJBJhz549SEpKwq9//euliLsqYRWegbz11lv4wx/+gKqqKp2KtUqlUlRWVuLgwYNanc18Ph8CgQDOzs5GzeUh/0xpOH78uF6+QFMjl8vnQr6tra3NKvCGFmvFh9fY2AhXV1eMjIyYdSNZkUiEsbExMAxj1J56GvOmWCzWyaenTyK7Wq3GhQsXoFQqkZ6evuwtr8wRVuEZCCEEX/3qVzEwMID8/HydTm5isRjl5eWLFgnm8/kQiUSwt7fXSZEaQlZWFvbu3Wvy2p/60t3dDTs7O9TW1urUZXols9qiNO9GLpdDKBSirKwM+/fvN4v+g4sxNDSEiYkJBAQEUAn4UqvV6Ovrg1qtXnSTU1BQgJiYGJ3bNf34xz/GF198gYqKihXb4ok2rMJbAlKpFAcPHkRERAQ+/vhjnV7I09PTqKysxJEjRx74zBTKTsONGzewZcsWeHp6mn0VFIZhkJ6ejm3btsHCwmJVVnhfyXl4CyGXy1FYWIi4uDhMTEysiNqqHR0dkEgk2LJlC9XOH2q1Gl1dXbCzs0NQUNADnxcXF2Pr1q0692a8fPkyXnnlFZSXl6+I3/NywSq8JTI2Noa9e/fi9OnT+M1vfqOT8pjvpCcQCMDn8+Hk5ERd2Wmorq6Gu7s7nJ2dzTJ14X6kUulcA9wtW7YgJCTEbP2R+rKSKq0sBiEEY2NjGBkZwdDQEJKSksx+Q6WhtLQUrq6uJutjp1ar0dTUBG9vb/j4+Mx9/+bNm9i6davOp7Rr167hiSeeQFZWlsFl19YKrMIzAjweDwkJCXjppZfwyiuv6HSNTCZDYWEhkpKSMDU1hZGREbi7u1Ovv3c/Y2NjkMlk4PP5OgXgmAstLS1wdnbG0NAQ1RJOpsIcS8LpAyEEZWVlmJycxPHjx8HhcFZMGTmFQjGnZEy12dRACEFlZSUiIiLg5uaGmzdvIjo6+p7anItRXFyMU6dO4cqVK6vWJG5MWIVnJOrr63Hw4EH89re/xTe+8Q2drlEoFEhLS0NkZCT8/f2X7ZTFMAxEIhFu3bqFU6dOLYsMS6GiogJisRg7d+4EwzAr0n9RUlKCffv2LbcYenP79m1wOBzY2NjA2dnZ5ApjqfT392NsbAxbtmxZtkAuQghu3rwJuVyOnTt36nz/NjY24sCBA/iv//ovPPXUU3SFXCWs3igAE7N9+3YkJyfj+eefR3p6uk7XqNVq+Pv7o6WlZVlNihYWFnBxccHx48eRnJy8bHIYSnx8PI4cOQJLS0t0dHQgJSUFfD4f4+Pjyy2azpi6Q7ahqNVqlJeXQyAQ4Pr163BwcMCWLVsQERGx4pSdptxWbGzsskYtczgcWFlZQSwW63wq7unpQVJSEn70ox+xyk4fTJr1twa4evUqcXBwIKWlpYuOUygUpLi4mIjFYqJWq0lKSoqJJNROSkoKUalUyy3GkhgfHyejo6MkOTmZ1NXVEZFIRNRq9XKLtSDmnHg+OjpKmpubSUdHB0lNTSVCodCsf5fakMlkJDU11Wx+hvLycjI2NkYIISQ7O5soFIpFx4+NjZHIyEjy/PPPm20xCXOFNWlS4H/+53/wk5/8BDdv3pw3wVStVqOgoAD79++f21kyDIOMjAyd+1vR5tatWwgJCYG9vb3O/gRzRSAQwM7ODjdu3IBarcaxY8egVqvh4OCw3KLNkZeXt2i6iqlpaWmBr68v6uvrYW1tjYSEhBUTfLIQDMNgaGgIjY2NZmO6r6mpgb+//z1BKxkZGUhKSpo3IEssFuPw4cMICQnBJ598smqCtkwFq/Ao8Ytf/AKXL19GYWHhPYmrhBBkZ2fj2LFjD+QiqdVqZGVlGb2tkKHw+XwMDg5CrVavqICWxVCr1ZiYmIBQKERrayt27NgBV1dX2NvbL2uen1gs1qkLBy2EQiFGR0fh5OSEyspKbNu2DYGBgWadL6cPw8PDEIlEkMlk2LZt23KLAwCora2Fp6fnvGk2aWlpD/S8lEgkOH36NCwtLZGRkWHWxSPMFVbhUYIQgldffRVXrlxBUVERwsLC5iqdnD59esGXq0qlQlZWltmc9Agh6OvrQ0tLC06ePLnc4hid/v5+uLm5IT8/H1ZWVti3bx9aWloQHh4Od3d3k8lhqsRzQgjkcjnGx8dRX1+P6Oho8Pl8CIVC7Nq1C9bW1lTzz5aD/Px8bNu2DXZ2dmZzqq+uroaXl9e8OXgaUlJScO7cOXA4HMzMzODMmTNQqVTIzMw0m59jpcEqPIoQQvDDH/4QV69eRVFRERobG+du4MVQq9VzDWTNxYwkl8tRUFCAgwcPruq+Wmq1GiKRCE1NTQgPD0dfXx9GR0exZ88eWFhYwM3NjcrfJCMjA6dPnzb6vCKRCL29vQgODsaNGzdgYWGBI0eOYHBwECEhIavmBDcfDMMgLS3NrHovEkJQVVUFPz8/nfIuU1JScPz4cVy4cAESiQTZ2dnLaglY6bAKjzKEEHz/+9/Hp59+irKyMp17v6nVamRnZ+PEiRNm9VLq6uqCTCaDn5/fikhWNwYMw2BychIcDgelpaXw9PREeHg4KioqEBAQgI0bN2JgYACenp5wdnY2SCEaYtJUq9VQKpWYmZnB4OAgnJ2dIZPJ0NLSguDgYKxbtw537tzBtm3b4OTktGLy4pbKzMwMxGIxysrKzKrtlEqlQl1dHfz9/XVuFyaTybB//35YWloiJydHpwLSLAvDKjwTQAjBSy+9hH/84x8oKChAWFiYTtcxDIOCggLEx8eb1a5OrVajrKwMXC53TffaYhgGfD4fzs7O6OzsxPj4OHbs2IGysjJIJBLs3bsXHR0d4PP5iI+Ph1gshkgkgp+fHwghmJychLu7O2xsbHDt2jUcO3YMzs7O6Ovrg7W1Nfz9/dHW1jbndyoqKoJSqURiYiJqa2shkUiQkJCAiYkJcLlcBAQEgBCyJoptL0RFRQX8/f0hl8t1fs5MgVQqRXt7O3x9fe8JUFmMmZkZnD9/HmKxGFlZWSs+eMwcYBXePAiFQnz22WcQCoWoqqrCxYsX8dBDD+n8+eXLl1FTU4OHH34YAHDp0iV89tln+OEPf4j//d//RUJCAqKjo/HOO+9olYVhGFRWViI4OFjnB8VUjI6O4vbt29izZw/rU1gElUoFhUIBpVI51wWDEILx8XGsW7cOtra2+Oijj/DlL38Zzs7OGBkZgb29PTw8PDA6OgoXFxc4OjqajVnOHCH/bNB65MgRODg4mI0rAJgN/hoeHoaXlxc8PT11umZoaAiHDx8Gh8PBnj17sHv3bjz99NP3jOHxeLh06RLCwsIe+Gy+d9DVq1cBAO+++y6qqqoQGhqq0ztoVWGi9IcVxcsvvzz3/wKBgLi4uJCamhqdP3/nnXeIi4sLAUCOHj1Kuru7CSGEMAxD4uPjia+vL/nmN7+pc7NThmFIe3s7aW5uXuJPZnwYhplrMDs1NbXc4qxY1mrj26UikUgIn89fcoNWWvB4PNLZ2Un4fL7O10xNTRFfX1+yd+9eMj09TQghxMXFheTm5s6Nyc3NJbm5ueShhx4ily5demCOhd5BhPzr/fXyyy+vufuO3TLeB4/Hg1AonPu3i4sLHnnkEbz11ls6fa75nkAgACEEubm5CA0NBTBbUSEwMBBf+9rX8NFHH6G1tVUnmTgcDiIjI+Hn54fCwsIl/4zGhMPhwN/fH3FxcaiurkZRUREIazTQm/r6+uUWYcVx48YN8Pl8TE1NmU1U892UlZXB1tYWgYGBOnc9GB0dRWJiIiQSCV599dU5V4abmxtqa2vnxh09ehRHjx5d0I++0DsI+Nc7jMfjrcgyfEuBVXj34ebmNmeuvBvNv7V9ro3XXnsNhBD89Kc/xbFjx5CRkaGzbC4uLti/fz/S0tJ0vsZUcDgcHD58GNHR0airq0NfXx8UCsVyi7Vi0PX+WesQQiAWi5GcnIw9e/YgICAAwcHByy3WA2RmZiI6Oho+Pj4658t1d3dj7969iIqKwvj4+D35uDwez2iFCV577TW89dZba8+cCcB8wv/MBM3O6G6qq6vnbjZtn2v4/PPPAczeqKGhoXM+vtjYWMTGxgIAoqKicPHiRbz//vt48skndZKPy+Xi7Nmz9+TomBOurq5wdXWFXC5HcXEx3Nzc5n5eloXZvXv3cotg9jQ0NMDNzQ2jo6Nm3VkiJSVlLkFcV+rq6pCUlITHH38cv/rVr+7x1z7zzDO4dOmS3s+RLu+gNceyGlRXAN3d3cTFxWVBW/d8n+fm5t7z79jY2Hts6Hdz48YNsm7dOvL222/rXRcvOTnZbOoBLkRvby/Jz88nU1NTK74+J03KysqWWwSzZWZmhly7do0IBAKzv4eSk5P1fo7z8/PJunXryLvvvnvP9wUCAbl06RJ5+eWXydWrV+e99umnn57Xh6fPO2gtwSo8LRw9evSegBR9Pydk9qZ8+umnF/y8traWeHt7k+9///t6K7D09HQilUrNuogswzBEIBCQoqIiUlFRsdzimCXmXDx6uWhqaiL9/f0kPz9/uUXRikqlMihw5tNPPyX29vbkww8/XHRcaGjovIptIYU337jF3kFrBdaHtwivvPIK3nnnnQWP/wt9frdzGZg1g/J4vAXXiYmJQWlpKdLS0vD444/r5fs6ffo06urqMDIyArFYrPN1poTD4cDFxQUHDhxAYGAg8vLyIBKJzFbe5cBc6jsuNwzDYHx8HCkpKQgKCoKPjw8OHz683GItCCEEfD4fJSUlegfOfPDBB/jmN7+Jzz77DF//+tfnvi8UCnH58uV7xh49elQvn5u+76C1AqvwFuDy5cu4ePHinDK7/wZa6HMej4cjR448MJ+2aKiwsDCUlpaio6MDR44cwdjYmM6yJiQkAJgtkNve3q7zdcuBr68vjh49CkII2tvbkZOTs9wimQVrPWiFEILa2loMDAygp6cH58+fh5OTk1lVGbofiUSCxsZGiEQiHDx4UOfrVCoVXnzxRfz85z9Hbm7uAyXlqqur8corrzxwna4RlYa+g9YCrMKbh7y8PLi5uSE0NHQufLe6ulqnz0NDQ/Haa689MN/935sPb29vFBcXw8/PDzt37tQrVN3X1xfBwcGwsbFBUVGRztctF87OztixYwf27duHvLw88Pl8dHR0LLdYy0Zvb+9yi7AsyGQy3L59GykpKYiOjkZQUBB27ty53GJppb+/H7W1tdiwYYNeUaJ8Ph9JSUkoKChAZWXlvJWK4uLidH6HaAp/381S3kGrHbbSyn3weLx5SxK98847ePnll7V+rpnj888/h4uLC7q7u3Hs2DG9QooJIXjzzTfx9ttv48MPP8S//du/6fUzCAQC3Lp1i0oxYlrIZDKMj4+jpqYGBw8ehL29/Zpqf9LW1rZiup4bg97eXvT29mLz5s2QyWTw9/dfbpF0pqamBgCwY8cOva5raWnBuXPnsGXLFnz00UeL1sW8+x1SU1ODY8eO3VPNqba2Fnl5eXjrrbcQGho6V+1Jk2+31HfQaoVVeGZMSkoKnnjiCfzgBz/Af/zHf+hVWkqpVCI3NxdHjx5dcUWD29ra4O7ujsrKShw5cmRN1IZcCwpvamoKKpUKLS0tcHR0RExMzHKLpBdyuRwVFRUICQmZt4fdYqSnp+Oxxx7Diy++iF/+8pdsmbhlglV4Zs7t27dx/vx5xMTE4K9//ateRaQJIaivr4ebmxsCAwNX3ENGCEFOTs6cySgwMBD29vbLKxQlTNUPz9TI5XIwDIOcnBx4eHggLi5uRZ7ceTweJBIJQkJC9H4G3333Xbz++uv405/+hIsXL1KUkkUbrMJbAUxMTODhhx8Gn89HSkqK3pUlpqenUV1dja1bt8LDw4OOkJRhGAZ5eXkghODAgQMghKwq5VdfX79qusozDAORSITCwkJs27YNXC4XgYGBZlckQRcYhkF+fj4SEhJgb2+v188glUrx7W9/G8XFxUhJSVm7yd5mBKvwVghKpRIvvfQSrly5gr/85S8GVZooKSmBvb09YmJiVuTLB5h9AYnFYrS0tGB0dBRHjhyBpaXlijd79vT0mGWJLH3QRAlv3rwZXV1d2L1794q9zwBgcnISpaWlBvXUa2lpwcWLF+Hs7IwvvvgC3t7eFCRk0RdW4a0wPv30Uzz99NN48skn8e677+ptHurv70dvby+2bt264vtrEULA4/FgZ2eHqqoqbN68GUFBQSvOZwmsXJNmQ0MDHBwcMDMzA6lUivj4+OUWaclMT09jZGQEIyMj2L9/v17XEkLw17/+Fc8//zxeeOEF/Od//iesrKwoScqiL6zCW4F0d3fj4sWLIITg008/RXh4uF7XKxQKjI2NYWRkBHFxcZSkND0dHR3w9vZGdXU1LC0tsXfvXnC53BVxyigvL18R9TRnZmZQW1uLTZs2oaqqCpGRkQgJCVlusYxGXV0d3N3dYWlpqXNXcg1isRjf+c53kJ2djY8++ggnTpygJCWLobAKb4Uil8vx6quv4s9//jMuXbqEr3zlK3rPoVarkZmZif3796+6pFQ+nw+BQAClUom2tjZER0fDy8vL7JqDahgZGTG7Br/ArAm5vr4elpaWcHR0RGdnJ/bt26e3P8vcIYQgLS0NJ06cgLW1td4/W0NDAx555BH4+/vj448/1ltZspgGVuGtcFJTU/Hkk0/i4Ycfxm9/+1vY2dnpPUdhYSHc3NwQHh6+qgJB7mZwcBBubm7Izc0FABw7dgyTk5Pw9/c3ixd3cnLysncAIIRArVajp6cHTU1NiI+PR39/P3x8fBAUFLSsstFC04W+vLzcIF8dIQSXLl3Cv//7v+OVV17BT37yE3C5XAqSshgDVuGtAvr6+vDoo49CJBLh448/Nqgu4+joKJRKJYaHh1dEpYulQAiBVCrF6OgoGhsbsXXrVkilUkilUmzduhXW1tYmL2lVWFiIxMREk64pEAgwNjYGNzc33Lp1Cw4ODti9ezcGBgZWfU4gADQ2NsLFxQXT09PYvHmz3tdPTEzgueeeQ2lpKT755BOT//1Y9IdVeKsEpVKJN954A7/61a/wyiuv4Mc//rFBznJCCFJTU3HkyBG98o1WA8PDwxAIBHB1dUVlZSWcnJwQFxeHzs5OBAcHw9XVlVouo1AopGZWHh0dhY2NDUZHR9Ha2ootW7ZAJpOBz+dj+/btsLGxWZG5cYaiuccPHz4MBwcHg/6mX3zxBZ577jns3bsXly9fhqenJwVJWYwNq/BWGbW1tXjyySdhaWmJDz/8ENHR0QbNk5eXh6CgIPj6+i5aAmk1Q2bbZ2FoaGgusrWyshJisRi7d+/G4OAg1Go1NmzYAJVKBWtra4N/V4ZGaUqlUlhZWaGvrw8SiQRhYWEoKCgAh8PB/v37UV5eDicnJ8TGxkIsFsPd3d0g+VYDcrkcUqkUxcXFBkfETkxM4IUXXkBOTg7ef/99fOUrXzELkziLbrAKbxWiUCjw+uuv49e//jVee+01vPrqqwad9kZGRmBlZYXGxkYkJiayD/ZdaPxdY2NjsLa2hkKhQGtrK7y8vGBvb4+mpib4+voiICAAVVVVcHV1xZYtW1BeXg43NzdER0ejoaEBALB9+3b85S9/QUxMDKKiotDX14fJyUls2LABIyMj6Ovrm6s52d3djbCwMNjZ2aGpqQmhoaHw8fHByMgI/Pz8sG7dOlhYWLB+pPsoLi5GWFgYxGIxNmzYYNAc165dw7PPPouEhAT8z//8j1kGGbEsDqvwVjE1NTV48sknYW1tjQ8//BBbt241aB5NBNvWrVsRGBho1i1bzB2FQoGZmRk4OjpCIBCAYRi4ubmhv78fDg4OcHV1hUQiAQA4OTmBEML+vg2EEAKJRIL8/HwcP37coIAuYDYB/YUXXsD169fx3nvv4dFHH2U3fyuUlVVckUUvduzYgerqapw8eRLx8fF4/fXXIZfL9Z6Hw+Hg3LlzmJmZwcDAwNzJhEV/rK2t4ezsDC6XCw8PD3h5ecHS0hItLS3w8vKClZUVXFxc4OLiAi6Xyyo7A2ltbZ27V8+fP2+QsiOE4IsvvsDmzZshlUrR3NyMr371q6yyW8GwJ7w1QnV1NZ566inMzMzgvffew/Hjxw2eS61WIz09Hbt374aXlxf7AjACK7XSirmhUqmQkZGBxMRE2NvbG1zlpKOjAy+++CJqamrwm9/8Bo899hh7n68CWIW3hlCpVPjDH/6An/70pzhy5Ah+85vfLCm/qqysDM7OzrC1tZ3rw8ViGGKxeM1FxRqT3t5ecLlcNDQ0LKkPpEQiwZtvvonf/OY3+OY3v4nXX38drq6uRpSUZTlhTZprCEtLSzz//PNob2/HunXrEBUVhTfffNMgMycA7NmzBxs3bkRgYCBSU1PR3t4Odv9kGOXl5cstwoqDEAKhUIiUlBS4urrCzc3NYGVHCME//vEPbNq0CQUFBSgtLcX777/PKrtVBnvCW8PcunUL3/3udyGRSPDee+8tufZfa2sr1Go1bG1tERwczPqf9IA1aepHZ2cngNncyQMHDixpro6ODrzwwguoq6vDu+++i6997Wsrrncki26wCm+Nc7eZ8/Dhw3j77bcRGRm5pDkZhkF2djZcXV1XfIsYUzExMbFiexWaCkIIenp60NjYiJMnT8LS0nJJikkoFOLtt9/G7373O3zrW9/Cf/7nf7InulUOu41Z42jMnB0dHfDw8EB0dDSeffZZDA0NGTynhYUFTp06hdDQULS0tKCzsxO9vb1GlHr10dbWttwimC0SiQS3b98Gj8fD9PQ0zp8/D2tra4OV3czMDH71q18hNDQUlZWVKC0txXvvvccquzUAq/BYAABeXl64fPkyGhoaMDk5iYiICLz22msQCoUGz+nt7Y3NmzcjPDx8rlu7XC6HQqEwnuCrhImJieUWwawghECpVCInJwe3bt3C1q1bERYWZnDlIGDWmvGnP/0JkZGR+L//+z/8/e9/R35+PmJiYowoOYs5w5o0WealqqoKr776Kurq6vDaa6/h+eefNzhx926GhoYgEAjQ09ODkydPsr6SfzIwMICAgIDlFsMsKC0tBZfLRUhICFxcXJZc55MQguTkZPzkJz+BQqHAG2+8gUceeYS999YgrMJjWRBCCHJzc/Hqq69ifHwcv/jFL/D1r3/dKMEoSqUSBQUF2L59O3p6erBz58417eurrq5eVc149aWhoQEBAQFz3SuM5c8sKirCq6++ijt37uDnP/85nnrqKbYD+RqGVXgsWmEYBlevXsVPf/pTMAyDH/3oR3jyySdha2u75Lk1rXry8vIQFhYGd3d3eHt7r7nd91qM0hweHgbDMKiqqsKuXbvmqs4sFUIIsrOz8dZbb6GhoQEvv/wyvv/978PBwcEIUrOsZFiFx6IzKpUKn332Gd5++22Mj4/jpZdewrPPPot169YZZX6Nby87Oxv29vY4dOgQLCws1sTJr6urC+Hh4cstBnUUCgVaWlrQ09ODw4cPA4DR7h+1Wo3PP/8cb7/9NgYHB/HSSy/hO9/5DpydnY0yP8vKh1V4LHpDCEFGRgbefPNNtLa24rvf/S6+973vGbUnmFQqxdTUFPr7+zExMYHExETY2Nis2i4ATU1N2LJly3KLQQW1Wo3S0lIQQhAdHQ2pVAp/f3+jzS+Xy/G3v/0N7777LhQKBV5++WV885vfNIrPmWV1wSo8FoMhhKC4uBhvvfUWbt68iW9961v44Q9/uKRyZfOhVCrR1tYGLy8vlJeXIzo6GuvXr19VZs/VZNJUq9WYmppCSUnJXFsjX19fuLm5GXUdsViMy5cv49e//jWcnZ3x6quv4tFHH2V9dCwLwio8FqNQW1uLt99+GykpKTh79ixeeOEFHDhwgIo58vbt2/Dx8UFHRwe4XC527dq14pXfajjhtba2YnBwEDt27EBHRwd27txJ5e/S2dmJ3//+9/jLX/6CyMhI/PjHP8a5c+dW/D3AQh9W4bEYlTt37uD3v/89/vSnPyEgIADPP/88HnvsMWoBAyMjIxgbG4OTkxMaGhqwbds2+Pn5LTmU3dSsNB+eTCaDWCxGWVkZQkNDYW1tDULIkqv0LIRarcb169fx/vvvIz8/H1/+8pfxwgsvYM+ePWvCx8tiHFiFx0IFqVSKTz75BO+//z7u3LmDxx9/HM8888ySEod1oaurC76+vigqKoJKpcLRo0chlUrNvmyXuZs0RSIRbG1tUVJSArFYjIMHD2JkZATh4eFU/aojIyP485//jD/+8Y+QyWR45pln8Mwzz8DX15famiyrF1bhsVCFEIKKigpcunQJn376KbZv346nnnoK//Zv/0Y9eo5hGAiFQgiFQjQ2NiI8PBx2dnaQy+XYuHGjWZnAzC0Pr6enBzMzM7C1tUVDQwMCAwMREREBLpdLPbxfpVIhNzcXf/7zn5GamoqDBw/i2WefxdmzZ1n/HMuSYBUei8kQCAT46KOP8Ne//hUtLS04e/YsHn/8cSQlJcHa2tokMhBC0NnZifHxcWzYsAGlpaXw9PTEjh07MD09vWwnweWqtDI1NQUrKyvcuXMHXV1diImJwcTEBCwsLLB582ZwuVyTbAwIIaiqqsLHH3+Mv//977C2tsbjjz+Ob3/72wgLC6O+PsvagFV4LMtCS0sLrly5gitXrmB6ehqPPPIIHn/8cSQkJJjcJ8Pn82Fra4uOjg709PQgPj4efX194PP52LlzJ9RqNRwdHamebJKTk3HhwgUqc6tUKkxMTMDR0RGVlZUAgNjYWBQVFcHFxQV79uwBn8+Hj48PlfUXo6urC1euXMHHH3+MsbExPPzww3j88cdx4MABszqBs6wOWIXHsqwwDINbt27hypUr+PTTT+Hs7IzHHnsMjzzyCLZu3bqsAQlyuRwSiQQMw6Curg7u7u7w8PCY+/+NGzeipaUFfn5+CAoKwtTUFNzd3Q16UZeUlGDfvn16XaNpgGpjYwM+n4++vj4EBARgcnISvb292LBhAywsLNDZ2Yno6Gg4OzuDw+EYLdHbUAYHB/GPf/wDV65cQV1dHU6dOoXHH38cp0+fNkr1HhaWhWAVHovZoFAokJWVhStXriAzMxPu7u44d+4czp07h4MHD5rM7KkPAoEAAoEA/v7+qKurw9jYGA4dOoSKigpIJBIkJCSgo6MDExMTc+bC/v5+REVFQalUoqurC6GhoZDL5RgcHISPjw8CAgJQVVUFNzc3REVFoaSkBHZ2dtizZw8KCwtBCMHhw4dRVlYGa2tr7NixAxMTE7C3t4eHhwc4HI5ZRS4SQlBfX4/U1FSkpqaioaEBe/fuxWOPPYaHHnrI6Pl5LCwLwSo8FrNEJpOhoKAAqampSEtLg0gkQlJSEs6ePYtTp07B3d19uUU0CgzDAPhXlKa5KStDufvvl56eDqFQiKSkJJw7d25V/f1YVhaswmMxewghqKurm1N+DQ0NSEhIQFJSEhITE7Fz584VH72Xl5eHo0ePLrcYBkMIQVtbGwoLC5Gbm4ucnBy4u7vj7Nmzcyf0lZYbybL6YBUey4pjYGAA6enpyMvLQ2FhIWZmZrBv3z4kJiYiMTERcXFxK04BisViODo6LrcYOkMIQXt7OwoKClBYWIjCwkKIRCIkJCTg0KFDOHv2LKKjo1fFaZVl9cAqPJYVDcMwaGlpmXvxFhUVQSaTYe/evUhMTMS+ffsQExNj9srE3BPPlUolmpubUV5ePqfgpqamkJCQMLfR2LVrF3uKYzFrWIXHsqpgGAbNzc0oLCxEQUEBysvLMTIygg0bNmDHjh1zXzExYfWiEQAABMlJREFUMXByclpucefIyMjA6dOnl1sMALPBQ83NzaipqZn7amxshLW1NeLi4pCYmIhDhw6xCo5lxcEqPJZVz/Dw8D0v75qaGgwPDyMyMnJO+W3YsAERERFzdSFNzXKYNBmGwcDAADo6OtDR0YHGxsY55WZra4vY2Nh7Ngnh4eFsbhzLioZVeCxrkpGREdTW1qKmpgYNDQ3o6OhAZ2cnlEolgoODERkZec9XREQE/Pz8qPkGr1+/jhMnThh9XoZhMD4+ju7u7jnFpvnq7OyEQqFASEgIIiMjsXnz5jnlFhYWxio3llUHq/BYWP7J/Seeu7/u3LkDQgg8PDzg6+sLPz8/+Pr6zn1p/u3u7g4nJyc4OTnB3t5eZ6Whqw+PEAKZTIbp6WmIxWIIBAIMDw/PfQ0NDd3z75GREahUKvj6+j6gxCMjI5ftRMvCshywCo+FRQeUSiVGR0fnVSp3f4/P50MulwMAOBwOHBwc4OTkBEdHxzlF6ODgMFejUvOlUqnA5XKhVqvBMAwYhsHMzAymp6fnlJvmv2q1GgDA5XLh4uJyj+KdTxn7+vrC3t5+OX99LCxmAavwWFiMjFKpvEdB3f3f6enpuXJl939plCCXywWHw4Gdnd09yvJupeno6AgbGxs27J+FRQ9YhcfCwsLCsiZgvdIsLCwsLGsCVuGxsLCwsKwJWIXHwsLCwrImsFxuAVhYVhtCoRCfffYZhEIhqqqqcPHiRTz00ENznz/88MN47bXXEBoaes91Li4uc///7rvvIjQ0FHw+H25ubnPXv/vuu6iqqkJoaCjeeecdk/w8LCyrBVbhsbAYmbfeemtOGQmFQoSEhCA0NBSxsbEAZjsjfP755w9c193djdDQUDzzzDN4+OGH57onPPzww4iNjUVoaCgmJydx9epVvPLKKxAKhfcoSRYWlsVhTZosLEaEx+NBKBTO/dvFxQWPPPII3nrrrbnvvfPOOyCEzH0JBAJcunRp7sT32Wef3dMq6NixY7h06dI98/N4PFbZsbDoCavwWFiMiJub25w58240/xYKhXjkkUfu+ezy5ct4+umnAQC1tbUPdAB3c3NDXl4eAOC111675wTJwsKiO6xJk4XFiLi4uEAgENzzverq6rkT2/2nsruVHQDw+fwHxri4uMwpzNjY2DnTKAsLi36wJzwWForweDzweDy89tprD3wmFArR3d19j4K7/2Sogc/nU5KQhWXtwCo8FhaKPPPMM8jPz5/X33b58mUcO3bsge/PZw6938zJwsKiP6zCY2GhxCuvvIJ33nlnQRPk3YEqGjSpCHczn5mThYVFf1iFx8JCgcuXL+PixYtzyq62tvaezzWRlvef3OZTjkKh8J6oTRYWFsNgFR4Li5HJy8uDm5sbQkND5xRbdXX1PWN4PB6AB4NYAOCRRx6Zi8oEgNzcXDzzzDNUZWZhWQuwUZosLEaEx+PN65ebL43gfnOmhkuXLuGVV16Zm++VV15ZcCwLC4vusO2BWFhYWFjWBKxJk4WFhYVlTcAqPBYWFhaWNQGr8FhYWFhY1gSswmNhYWFhWROwCo+FhYWFZU3AKjwWFhYWljUBq/BYWFhYWNYErMJjYWFhYVkTsAqPhYWFhWVNwCo8FhYWFpY1wf8Pd6GVU5oXHGIAAAAASUVORK5CYII=\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "theta = np.linspace(0, 2.*np.pi, 1000)\n", "a = 1.\n", "r = 2 * a * (1. + np.cos(theta))\n", "plt.polar(theta, r)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# plot to avoid singularities\n", "\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "x = np.linspace(-20, 20, 1000)\n", "def f1(x):\n", " return np.log(np.sin(x)**-2)\n", "def f2(x):\n", " return np.log(np.cos(x)**-2)\n", "\n", "plt.plot(x, f1(x))\n", "plt.plot(x, f2(x))\n", "plt.show();" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Returned to (5, 23) in 1536 steps.\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# The following code plots the Gaussian prime spiral starting at c0=5+23i\n", "\n", "# https://en.wikipedia.org/wiki/Gaussian_integer#:~:text=Gaussian%20primes,-As%20the%20Gaussian&text=This%20implies%20that%20a%20Gaussian,is%20also%20a%20Gaussian%20prime.\n", "\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "def is_prime(a):\n", " \"\"\" Return True if a is a prime number. \"\"\"\n", " if a==2:\n", " return True\n", " if not a % 2:\n", " return False\n", " for d in range(3, int(np.sqrt(a)) + 1, 2):\n", " if not a % d:\n", " return False\n", " return True\n", "\n", "def is_gaussian_prime(c):\n", " \"\"\" Return True if c = x + iy is a Gaussian prime (otherwise False). \"\"\"\n", "\n", " x, y = c\n", " if x==0 or y==0:\n", " a = abs(x) or abs(y)\n", " return is_prime(a) and a % 4 == 3\n", " a = x**2 + y**2\n", " return is_prime(a)\n", "\n", "def turn_left(c):\n", " \"\"\" Permute (1,0) -> (0,1) -> (-1,0) -> (0,-1) -> (1,0). \"\"\"\n", " dx, dy = c\n", " return -dy, dx\n", "\n", "# Starting point and direction\n", "x, y = x0, y0 = 5, 23\n", "dx, dy = 1, 0\n", "\n", "# Keep track of the points on our spiral path in these lists\n", "pathx, pathy = [x], [y]\n", "# It isn't known whether every iteration produces a closed loop so\n", "# set a maximum number of steps to take\n", "max_steps = 10000\n", "\n", "step = 0\n", "while step < max_steps:\n", " step += 1\n", " x, y = x+dx, y+dy\n", " pathx.append(x)\n", " pathy.append(y)\n", " if (x,y) == (x0,y0):\n", " print('Returned to ({}, {}) in {} steps.'.format(x, y, step))\n", " break\n", " if is_gaussian_prime((x,y)):\n", " dx, dy = turn_left((dx,dy))\n", "else:\n", " print('max_steps = {} reached.'.format(max_steps))\n", "\n", "plt.plot(pathx, pathy, lw=2)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# The Archimedean spiral:\n", "\n", "theta = np.linspace(0., 8*np.pi, 1000)\n", "a, b = 0, 2.\n", "plt.polar(theta, a+b*theta);" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# The logarithmic spiral\n", "\n", "theta = np.linspace(0, 8*np.pi, 1000)\n", "a1 = 0.8\n", "plt.polar(theta, a1**theta);" ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [ { "data": { "image/png": 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fvx4LFizAsmXL/Gfm3tYGfPXVmRBe3/qWuGwJSmVbyMkBHngAxTodrvN1rEPIM7+hRlYJlzBvgwA6AdQA+DqA2QAmbT0VuuaWlhb88pe/xGeffYb9+/fj//2//4clAa4aDqICUyxwgwQQNpuN/vnPf9Ill1xCV155JSUkJChubcdxHOXk5JBOp6Pjx4/7zZpPMbKzlVfDffQRtS1dGjiqViJ1rtPOxKxW6FcFUBdAiY6BARSc1VZWVtLu3btp3rx59PLLL9Pg4KBiZQcJfIICLwgREWVmZtLGjRtp1apV9Pe//11xtaJer6fq6mrSaDTSIna0tvJm/C+8wP/b2qpo+5hQcQ0w9vXXA0fVquZaZ2ur77IBsgF0GKAagFqXLVN83TI7O5tuueUWWrJkCcXExAQjt5wnBAXeeU5HRwd95zvfoblz59Jbb71FJpNJ0fKbmpooMTGRhoaGqL+/X3wBas40xDARAoxpnU1CCLBs+/Gtrbyf3Ysv8v/6W7CrfJ2Ovocsv3GAxgDSPPYYVVZWKqoR4DiONBoNrV69mq677joqLCxUrOwggUlQ4J2nmM1meuedd2jevHn00EMPUXt7u2Jl22w2amtro6KiInkWnYFkVelFDaeEcUlvb69KDReJytdJL7wgrnz778UXqaGhgWpra6mqqkrRgdno6Ci9/PLLNHv2bHr88ccD51kEUZygwDsPycjIoCuuuIIuv/xySk9PV7TskpISSkxMpPHxcXmjcbVnGmJgVMO5zUBFqOE0Go167WfFD9cpdoY3+XOILsNxHCUlJSm+BtzY2Ei7d++msLAw+tOf/hRUc56DBAXeeURHRwc99NBDNHfuXHr77bfJbDYrUu7IyAi1t7dTYWEhtbS0KFKm6jMNMSjQSfsiNTVVvfaz4ofrVDLMW39/P9XU1NDp06epp6dHsduQkJBAq1evpmuvvZYKCgoUKzfI1BOMtHIewHEc/vjHP04GVK6pqcFPf/pTzJgxQ3bZ6enpKCgowNKlS3H99dfj4osvll0m2tqA2lpx59TWAu3t8usWQmooLxHnbd68WVodgCKRSgD45TqVDPMWFhaGdevWYf369aivr0dSUhKISFzZAtxzzz04deoUdu/ejZ07d+JHP/oRhoeHZZcbJACYaokbRF2ampro61//Oq1cuZKOHj2qSJljY2PU29tL2dnZZDQaFSnTCX/MNAKsPZJUmkob9Pjrvmdnq6KuNpvNdPLkSaqvr6e+vj5xbfJAQ0MDbdu2jVavXk0ZGRmKlBlk6ggKvHMUjuPoj3/8I82bN4/279+vmGAqKCignJwcdf2XZBg2qIIfsi0cPnxYXJvUMOjxZ1YJFQ2SLBYLnThxgo4dOya+XQLYbDZ6//33ac6cOfSjH/2IhoaGFCk3iP8JCrxzkObmZrr11lsVm9VxHEdjY2OUlJSkqDWnRwJthkek+pqiqE5UTYMef66dqhzmbXBwkLKysqivr4/GxsZklUXEz/a2bt1Kq1evpszMTNnlBfE/QYF3DsFxHMXExNC8efPo8ccfV2RWV11dTSUlJdTmz4DFgZi/TiU1nJ2UlBT2g9UUSipfpyAq+x4ajUY6ceIE5efnyy7LZrPR//3f/9GcOXPoqaeeouHhYQVaGMRfBAXeOUJnZyfdfvvttGLFCnGdpxCtrcS9+y4lPvAAVf/858QpZXkphkCy0rSjohqOeQ3PH64DgeT/qCCdnZ10+PBhslgsssuqr6+nLVu20Jo1aygvL0+B1gXxB0GBdw5w5MgRWrp0KT388MNkMBikF5SdTZZt26h72TI6AT7KxWSH6c+oJhNtCRg/PNd2qaCGGxgYYDvQn4YlgRLqTEE4jqPTp09TbW2t7HVom81Gb7/9Ns2ePZveeuststlsCrUyiFoEsyWcxVitVvziF7/A+++/jw8++AD/9V//JT3bwMcfo+HgQeh6e3EVgAVCx0REAG+8ATzyiPRGi2wTXnxxMqq+IP5ukx2HbAu0eDHM99wD05IlaGtrQ2hoKEZHR1FdXY1LL70UF154IU6dOoUVK1YgPDwcJSUlWLRoEdavX4+cnBzMnTsXFosFZrMZ06dPx44dO5CTk4Px8XFs27YNJ0+ehMFgwPXXX4/2F19Ez9/+husAmAEQgAjwmZwv8NbeF18EXntN1nVKyioRoFgsFuTl5WHOnDm49tprZZVVWFiIb3/721i/fj3+/ve/B7MwBDBBgXeW0tbWhoceeghGoxGfffYZNmzYILksOn4cR7/5TSzX63Glr4P9naImJwf4xS94P7vOzjPbIyN5/6xXXmFvi4xUN3q9Hm1tbbjssstw/PhxmM1m7NixA8XFxRgaGsLWrVvR3d2NGTNmYOVEmRdddBHzZWo0Gtx3332+D/ztb2F99lmMA7ACaAIwc+JXDiAcwCUA8gGsALAeQBeANe+9h5BnnmFuz/lCW1sbTp8+je3bt2PmzJmSyzEYDHj88ceRm5uLf/3rX9i+fbuCrQyiGFM7wQwihbi4OAoLC6PHH3+cRkZGJJfDcRy1tLRQybXX0ligrZe5IsewQYS/Gsdx1NfXR729vRQXF0f5+fnU2dlJWVlZ1NXVRRaLRbEINY7odDq2A0UY9BjAp9g5tWQJxf31r6TX6ykjI4Nyc3PJZDIpYrl4LmCz2Uir1VJ5ebmsZ8txHP3hD3+g2bNn069+9atgaLIAJDjDO4swm804ePAgPvroI8TExODb3/625LKGhoZQVFSE68LDMX/XLu9qQ1ciI4GCAsHoFwGHF7UoB2AIwKlFi7DmpZfQeP316O3txc033wwiwuLFizFtmn+CEeXn57NHW9m5E8jMZC98504gPX3yz66uLnAch8HBQdTW1uKSSy5BWFgYzGYzoqKi/JeEN8CwWq04duwYrrjiCqyQ8W5XVFTggQcewPLly/Hpp58iIiJCwVYGkcUUC9wgjOh0Orrpppto06ZNVF9fL6us06dPU1paGv9HIPq8KYWLv1oPQCMAxQOUApARoByAugHiwsP9Y4jhIa+fqEgrChv02Gw2slqtdPLkSUpPTye9Xk9xcXFUWFhIVqv17EvSK5OioiLKy8uTZc05NDREDz/8MC1btoxyc3MVbF0QOQQFngCNjY104MABiomJcds3MDBAMTExdOjQIdq/f7/bMTExMbR//35KTU2l1NRU2rdv3+S+6Oho2rdvHx04cEBUe4qKimj58uX0ve99T5Yaymg0Un5+PtXU1JzZGGhRTRSE276d+gCqAygWIC1AeoCsU6Gq9aFWbfr8c3Hl+cF1QKfTTYaQi4uLo8HBQRodHZVcnmimMOlvT08PlZaWUquMOjmOo9/97nc0e/Zs+lghFw573+SItz6HSHq/cy4SFHguOL40QgJv//79TibkoaGhTpHuo6OjKTQ0lADQrl27qLGxcXKf/YU7cOAAsxn6v//9b5ozZw795je/kTXSLi4uppaWFndHWX9FyPdTxzUwMEAmk4kS//Y30ixcSKMADbBek1rO6wzCqWzxYvHCyY+uA/Z1ro6ODoqNjaXq6mrFkwVP4s+kv17eTZvNRgaDgdLS0mR9e2lpabRw4UJ69tlnZfsA7tq1y01weetziKT1O+cqQYHnAaHZGxHRpk2bnARcVFQURUdHT/4tdI6dffv20cDAgNsITAibzUYvvPACLViwgBITE0W23rmc+Ph4zwvoakY18VPH1dvbSzqdjjQaDZWXl5PRaCTrO+8EhqqWMQyYhlH9KMgUZElvamqiwcFBOvLJJ5TyxBM0fvAgf8/l1u0vp3eR76ZGo5E1u21oaKANGzbQ7bffTnq9XlIZqamptH//fsEZnjfE9DvnOkGB5wFPAs8VAFRSUjL5t7dzSkpK6MCBA24jMFeMRiPt3r2bLr30Ujp9+jR7o10YGRmhuLg43weqEdVE5Y5rfHycKioqKDY2lvR6vXuW6kBR1TLe22ox9zYQcBAYowA1TVxDXFgYjWzdStzx4+LL9FfSX4nvZkpKCul0OskO5kajke655x5au3at87ICI4cOHaLo6GjRAo+13zkfCAo8D7AIPE9reIcOHZp8OQ8dOiSq3oaGBrriiivotttukzwSNJvNpNPp2ANHKx3VRMWOq6ioiLKysqi/v9/7+kogGOOICAM2KfDUjgmqBF4Ehg2gLIC6ly6l9AMHxMWa9Ec4OZnvZklJCTU2NkpOP2S1WunnP/85LViwgJKSkpjPs/cjngSenD7nfCIo8DzgTeDZDVcOHDjg9nKlpqY66ck3bdrEPLLKz8+nRYsW0dNPPy1Z19/e3k5NTU1UVVUl7kQlZ2QKd1zFxcXU1tZGhYWF7EGsAyEAtQihq1FL6CqNCIFhCw+no+++S2VlZdTU1ETj4+Oey/VHjFAiRd7Nnp4eam1tpdLSUpE37wyffvopzZkzh/74xz/6PLaxsXFyGUVI4Mnpc843ggLPA6wqzaioKK/H7d+/n/bv3++znOTkZJo7dy79VkZnd+LECWpvb5eeJUEJIwiFOq7e3l4aGBig2NhYamtrk6ZGmuoA1CLUqmWOfweyBazEe2qz2SgpKYlSUlKEDUD8ZTylkFC12WxkNBrF5zF0IDs7m0JDQ+nll1/2ahTj2L8ICTxXWPuc8xH/eNWeIxgMBnz44YdO23bt2oXo6OjJv0tLS532h4aGQqvVei33k08+wd69e/HnP/8ZTz/9tKS2JSQk4Gtf+xoiIyMxf/58SWVgyxbeQTk/H/jtb3mH7d/+lv87PZ0thNeXX4pzYgf4kGFffgkiwtDQEOLi4mCxWGC1WnHfffdhxYoV0hzAX32VD4XGQkQEH6ZMSUTEVAyVeJ5faWvjQ7yJobYWaG/HtGnTcOedd2Lbtm1obm5GRUUFioqKzhzX2yutTWLOk/FuujJt2jTMnz8f3/jGN6DRaMSVOcGWLVuQnZ2NDz/8ED/60Y9gs9ncjklLS8OuXbu8liOlzzlfCQo8ERQXF+PgwYNu20NDQwEAWq0Wt956q8f9Qrzzzjv44Q9/CI1GIzlySlxcHO666y7MmzdPmSgZK1cCTz/NBxt++mlxwYIldlylJ0+ivb0dpaWluPfeexEREYHFixdLKmuSLVuA11/3LfTsAaiVjg+6dy8flYaBCvt/IiP58wIRBQTGrFmzsHr1amzcuBERERFISkrC8PAwBubMkdYmMYMDFYTqBRdcgPvuuw9xcXEgIvcD2tqcB49tbU67r7zySuTm5iI9PR0PPvggTCaTWxFffPEF3nrrLbz11ltITU1FWloa3nrrLQDS+pzzmqmeYgYq+/btc3I3IOLX7ly3RUVFOa3jue7ftGmTkxWnHZvNRv/7v/9LS5YsoeLiYklt5DiONBpNYEXCEKGasoB3Bo8FaPztt9W7jqlMdcOoAsxTS61qRwlfSJUsX/v6+qgmI4MSwsKIU0Dd6BGV1abJyclnAkOIdHvo7e2lG2+8kXbs2OE1xdeBAwfc1JWsfU4QCq7huVJSUjLpyLlp0yaKjo52WgBubGyk6OjoyegGrkYrjvsPHDjg5LNnx2w20/e+9z1avXo11dXVSWrnyMgIuxWmP2EwFrECVABQG0CnpXRcctrmZ381VgtYHaBOXj8lfSFVFhiWbdvoMEB9E++Gz3LFDg78YMhUUFBAHe+8Q7bwcO/lChiADQ8P05133kkbN26kzs5Ot7Kjo6MpKirKzfeXpc8JwhMUeH5mbGyM7rrrLtq4cSN7hHwHOI6j1tZWybNCv+BhVmMGqASgBMB5JH+2+J5JhcECNnbhQuUziCvtC6m2wJgYHBgB6gBvueoxDJzUwYHahkzHj1Pr0qVUAocEyiKuwWw20/e//31avXo1abVa8dcXxCtBgedHRkdH6bbbbqObbrpJWG3hQ+1ktVqpoKBAcPQXULjMamwAlYNXX3Yq1XGdbfhQq2a8/76y9anlC6m2wHAR0ongg3t3SxXSrijtc+rKxP0ZASgdoCEJ94fjOPrJT35CK1eupIaGBmnXGUSQoMDzEyMjI/T1r3+dtmzZQoODg847GdROFouFjhw5cvbkMPvoI+LCw6kWoDjXGZ0SHddUoMQ6mAe1quIxDtUSTGoLDHsdDoODfoC6AEoIC1NmzVWtKEAubg8cQGng8xKKnQFzHEfPPfccLV++XPKyRxB3ggLPDwwPD9P27dtp+/btNDQ05LyT4eOzhIfT4WeekeaLNkUR5zs6Oqj4L3+hUzfcoLyxiL+vyQ8xQUWlB/KF2k7c/op36TI4sDU3T4aS8+rEzoIahkwe1jjT4SOAuYc1To7j6MCBAxQeHi4pFFkQd4ICT2VGRkZox44dtHHjRvcwSwxqJzNAh6WMlv0Zcd6Bvr4+SklJoZGRkTMCWiljkam4Jj917ikpKcq0l8g/TtxTaPlaXV1Nra2tdOLECfmFKWnI5MWKNWNipiq434sVK8dxtG/fPgoPDw/O9BQgKPBUZHR0lG699Vbatm0bDQ8PU2xsrLPpvQ+107hd2Nl/rGonf43AHRgZGaHc3Fw6LiVoMAtTcE1+C2ZM5D7zl4M/A2dPheUr8YJgaGiINBpN4Kj5fQw0ssBboIoZaMTGxpLNZqMDBw7Q8uXLg2t6MgkKPJUYGxuj22+/nW655RanziwuLo6f+fhQO5nAL9i7jZ59qZ382EkT8R1PQUEBdXR0SA9p5gs/X9MkfgxNJidElRuBEDjbj6Snp1NnZyf19PRMbUMYrFhPgF+PtDF8045qbvua3sqVK4PWmzIICjwVsFgstGfPHtq8ebO7gQoRJSQkkOXttz1+FKMAJUvtlPzYSQ8PD58R4GoyFTEx/RXMeALF1/CmOnC2n+nr66PW1lb1NAysMLyrJQC1g1+u8PSuxsbGum2zW29ecsklgW+pHaAEBZ7CcBxHjz32GF155ZVe0/skPfggmQQ+hkHwi9wePxhvaic/ddIWi4UaGhr84/juZ8EziZ9nSYqqNImmPnD2FDE4OCgoLPwGoxXraYBali6lsbQ0tyK8DX44jqP/+q//oo0bN3qNyBJEmGAsTYV56aWXkJqaipSUFCxcuNDjcXdu3owsACMO2wYAlAPY6a0Cb7EDFQyO64m2tjY0NDTAYrHgtttuE1eXFPxwTYL4I5ixA7m5ue4bfcRh9MpUB86eIubNm4d7770X8fHxsFgs/m8AY/zWyyMiYPnpT9G1Zo1T/EyNRoN7773X43khISH485//jOXLl+O+++4TjL0ZxDMXTHUDziV+97vf4U9/+hNycnKwfPly7wfv3Yvbf/MbZHR24moAVgANALZ6O8dXYGGVO+mjR4/ihhtuwNKlS3FRTw/fCff28kJ4715xQaYVbpti59mRkLHAAGD6vHkY6epCU1MTlixZgvHxcdTX12P16tWYP38+Tp48ifDwcKxatQr5+flYuHAhNm7ciKysLHAchy1btiDrD3+A5R//wK39/Sjo6sIwgJsBNLz+OowREbju9dcxetVVAICIiAiEhIRgxowZzo2xd7wvvuh9wKBW4OwpJCQkBHv27EFJSQmWLl2KWbNmyQ9ELoZHHwUuuwz4xS/4bBGdnWf2RUYC69YBr7yCNVu2oKWlBe3t7Vi+fDmOHj2K++67z2fxM2bMwOeff45du3bh4YcfxmeffYbp06erdz3nElM9xTxX+M9//kNz586l/Px89pN27CAOfPDkVCXUTiqp4axW6xkLU3+7BkyVAYaHdbABgIrAR9BIAh/+Sg9QJkDpixaR4dQpam1tpa6uLrLZbMwBsXt7e/n/+LBGHQNoeNky0n/wAZWWllJ9fT01NjaSRqOhoqIiamtrI41GQzU1NTQ6Okrj6elTFzhbKWT4XRqNRqqsrKSCggLVmucVBivW9vZ2ev/998lkMokquq+vj9avX0//8z//E1gB5AOYoMBTgNTUVJo9ezYlJyeLOzE7m7RLllA5QMXgF7I9duAs1ocKGyuYzWbq6+uj+Ph4fsNUuAZMkQEGx3HUf8st1Ac+9mce+LBoGQD1wkOMRxnrYNnZ2Ypao7a1tdHY2BglJyeTRqOhgcpKKnruOer4yU/86j4gC4UGVxzHUUdHByUkJKjcYPFwHEfx8fHU1dVFJSUlZLFYRJ3f0tJCy5cvp1/96lcqtfDcIijwZFJSUkLz58+nf/zjH6LPra6upurXXyeKiCAbQFXg403KEiIKGSvU1dVRc3MzVVVV8RumyjVAwWvyBMdxNDY2Rnl5edTV1UW5ubkUGxtL3fHx1LV0KVn8cM2xsbGqXqfNZqORkREqKCigxsZGqqiooNjYWGptbaX+/v7AmyGoMLgym82UmprqbCA0RZGIiHjNSVJS0qSVc19fH504cUK01XNVVRUtXLiQ/vSnP6nRzHOKoMCTQVtbGy1btox+85vfiD63oqLiTNqhiagV1ogIqgeoxnEkK1btpECsw8TEROrp6XFWsUyl1Z9K8RtbWlooPT2dent76dixY8LZK/w0q20rKJgSa9Tu7m4aHBwkjUYzGatVyJWGCaWEh8qDq8bGRqr4+GMybdvm90hEdsbHxyktLc1tRmc0GikjI0N0eTk5OTRnzhxKSkpSqIXnJkGBJ5GRkRG69tpr6fHHHxc9OnYSdo60tpL13Xep+cc/plM//7n0DkNGJ63RaMhsNru1a0pcAxS6JkeKi4uptraWTp06xZ5iyQ9htIqefVbc/bX/FHQWt1gsNDg4SAUFBaTRaKivr4/6+/t9n6j0uq4fMjKYwsPpGLwEdlYxsPno6ChlZ2d7XLMzGo107Ngx0eX+61//ogULFlB1dbXcJp6zBAWeBDiOo29/+9u0detW0UFsKysrqb6+3usxVquV2traqLKyUnojRXbSHMe5hz6zEyiROyQIntHRUcrIyKC+vj46evQotcpRWakYRkuzb5+0eywlHBgjXV1d1NPTQxqNhsrKymhkZMT9/VAj556agyuH2SMH3ue1Q8HZoy8GBwepqKjIPa6uCwaDgdLT00WX//zzz9Nll13m1Qf4fCYo8CTw+uuv06pVq0SHMqqurqa6ujqmGaHVaqX29nZ5Qo+IqZMeGxvzrgrxZ2xGBa6pr6+PKisrqaGhgVJSUmhsbCzw1qhcqJd6j/0UDqynp4dGRkYoJSWF4uPjyWKxEJeVpbzqUe3BlcDssQD8MoJgCisFVfMGg4EqKyuZHcYHBgZEqzdtNhvt3r2bbrvtNtEGMOcDQYEnEo1GQ3PnzqXy8nJR5zU0NFB9fb2oBWn7TG/ScERh7NZrPl0pAmWG5wWTyUSjo6OUnJzMWzyeZVSmpp414cCsVivV1dVR9fXX0xFPgkKq8FBzcOVl9lgNUCX4xK1q3GO9Xk81NTVsKmIH+vv7RYdLMxqNdMUVV9Czzz4r6rzzgWCkFRFUVVXhe9/7Hv72t79h48aNzOe1t7cDAC6++GJMm8Z+y6dPn46IiAjMmzcPNTU1otvrDYvFgtLSUnAchxtvvNH7wXv38g6zYvDlJK8QHMchMTERZWVlMJvN+MY3voEtZ6ETdePICLB2rbiT1q0DVqxQp0FemD59Oi6bORPr29txC4BEAL0Aqn2dWFsLTHwLHpHg8M98npeoPesBLALQCqDDcYecqD0TkXL0zz0H/TvvYJHJhLCwMFFFhIWF4fLLL0dBQQHzOfPnz0dcXBz+/ve/4+OPPxbb6nObqZa4Zwt9fX20evVqevnll0Wfp9VqpVu+ET+ibmxsVCw1yPDwMKWlpdHo6Cj7SQEWm7GoqIg6OjooNzdXWjLQKTRHF6KystI/2cSVwmXWPw7eAV8DUBsgGCeWadavpt8lw+xxBLw/bJHY2aMjDkY8/eBdjbrt7ZRgxMNxHOl0OqqoqBB13rFjx2j27NnK5A08RwgKPAasVivdeuuttHfvXlEqyfHxcWpubqbu7m5F2nD69Gl5RhfER/RITU0Vv6YVAJ3x8PAw9fX1kUajoe7ubrJareILmaLEuL6YNGSaCud+KXgRHtXg874dA5/5Q7TqUa3BFaNqngMfSWcyY4kY1bzD83MSdjKfn9VqpdbWVmppaRF13gcffEDLli2jjo4OUeedqwQFHgMvv/wyrVu3TlREe/v6WE1NjWLtsFqtVFpaKlmAdnd3U05OjvQGqNkZe5lx2aNRdHd3U3Nzc2C2XyZOEfKnMJs4M4zCI2VitjQgRnioNbgSOXu0AhQXFibJAlQPUL2QsJMxKBweHiatViu6H/r+979PO3fulDZAPMcICjwfZGRk0OzZs0WrE/R6vSqqBI7jKDc3V7TZsU6nU6Y9SnfGXmZcI1u3kk6j8ewuIYapjBTDQFFRkftGtbOJy1HrihAeIxMCIH3RIhqpq2MrX63BicjZI7djB3uuwomyDeBnub2+ypeg9m9tbSWtVitK0zQ0NETr1q0Lhh+joMDzSk9PD0VERNAf//hHUefZzbfVguM4yszMZBrp2Ww2NktMsSjRGXvp1NIB0gHUuGSJMjOuAFuDdKXNn9aWSql1JdzTI0eOUHFxMdu6qxozXQmzR47jfAu9CQvQIYDKJwS8z/IlWoCWl5dTe3u76HNmz54tKYrLuURQ4HnAZrPRHXfcQffff7+o2YXFYhEOUquCkURqaiqNjY153G82m6m1tZXKyspk16U4AjMuG/i1n1jAOX6l3BnXVEaKYXzufktaquTMSaLqsauri5qamqi0tJRNzab0TFfCPbALPY99wXvv0RhA+QAZxbxnEl13jh8/LtrF4Y9//CNFRESI9h8+lwgKPA9ER0fT6tWrRWUV5jiO4uLinDeqbCSR/I9/kPntt9061OHhYWpubg7cMEMus4NKgJoBKlRjxjUVfoQin7tffAfVUOvKEKD2tdmqqir/BwaQMHvkOI4SEhIEHbrNBw9SJgT8+Hz9ZARnOHr0KI2MjDAfz3Ec3X///XTHHXeIDlB9rhAUeALk5ubS7NmzqbCwUNR5R44ccf5w1TSScOhQD8MhXU1kJBm3bKGmzz8XbdHlNxxmXCMTM7oR8DM8VWZc/o4UI+G5T+bDUxO11LoyVY91dXVUWlpKzc3N/hd8ImePHMfR0aNHnUKDWa1WOvLEEzTu70EVER0+fNg99q0XDAYDrV69mqKjo2XVe7YSFHgu6PV6uvjii+ndd98VdV5FRYXzaEtNIwmBDjUOvDm1EaAGgDqWLp1603VPvPce9QLUBNBRf3QO/pzhSXzuzIYRUvGHWleG6pHjOBofH6fExETRqjp/Y19DHxgYII7j6PDhw2TRaqcsb6NYN6PCwkKaPXs25ebmyqr7bCQo8Fx46KGH6O677xb1Ag0MDLhnP1BrNO2lQ/03QKcB6pIqSP1E1sMPkw68n5JfZlz+TCIr8bmnpqZKuzZWzoLwcHaysrLo5MmTAR0LkuM4ysvLo7///e9n1INTZBg1NDQkeuninXfeodWrV4tycTgXCIYWc+Crr77CkSNH8Je//AUhISFM5xARysvLsXr16jMb29r4MEpiYAm7BAC/+IVgeKRRABsAFANYat+o0/HHBxBxcXHYvHEjwgGIC7IE6WGnVq70T9guGc998+bN4s4TS2+vf8+TwbZt2zB//nxUV1ejra3N7/WzEBISgs7OTnzta19DZ2cnv/HVV4GICLYCIiKAV16R3oCJsGV48UXM/ctfAJ0Ow8PDzKc/88wzWLlyJX7+859Lb8PZyFRL3ECht7eXli5dSp9++qmo8xITE91NrNUaTXtQS42Dj/huN4W2qzeVUpvIheM4Gh0dPaO28+eMy44/IsXIeO6qqzTPohmeHYvFQgMDA5SWljZlbfCE/XlZLBY6ffo0NTU18TvUDm7gxRgq9aqriBMRaLqhoYHmzJkjKQ3R2UpQ4E3w4IMP0n333SdKlXn8+HHq6+tz36GWkYRAp2UDKAugQZft8XAwZJHSaSnkRqHT6ai9vZ3y8vKcd0yF+kftzkjGcz98+LD86/PGVAwyFCQ2NtarC44/cXUhGR8fp/r6etJqtfwGtSLl+Hh/LQAlLFwo6v19//336ZJLLjlvVJtBgUdEX3zxBYWFhZFOp2M+p7q6mmpra4V3qjWaFuhQjwkIO/svEfzsT9Tal4JuFFlZWdTc3EwDAwPC9UxF5BM1w3bJeO5+6XAC3PneF8nJydTR0eExU7g/8DQTHxsbo8bGRurs7DyzUUn/QUZjKANA6WFhzO+xzWaj7du30w9/+EPpbTuLOO8FXk9PDy1ZsoT+9a9/MZ+j1+upsrLSsy+LWqNplw71GHw7uaYANPrWW2wXpuAMSKPR+PZhnMrYlmqE7ZLx3NWMzDNJAAQAl0tNTQ01NTVNiX+pr+AAAwMD1NTUJMp3lxkRgxUtQFU33MBcdGNjI82dO5eOHTumfLsDjPNe4D3wwAP0zW9+U5Qqs62tzXcsSzVG0w4davrEaI6lQz32n/+Q0Wj0XrZCbhRms5kOHz7Mfj/PhkDJYmB47hx49dM4QLYdO2h4eJg+++wzstlsNDY2xmcT5zh1fNICOIC2E15U6mazmQwGg3BEIxnleoN1jbWzs5OampqUVb+KdCmxAlS9ZAkNihgU/O53vzsvVJvntcA7dOgQLVq0iLq6upjPMZvNVFxc7PtAtUbTO3ZQJhhj9TkIUo/rjQ7lyhHQNpuNdDqd+1odK2oHSlYZjuPIbDaTMSWFapYsIR34aPkagE4BVDvx/yLw+eISAMpftIj6ExPp6NGjlJycTMPDw5ScnEzJyck0NDREKSkppNFoJrNe29Mi1dTU0Oljx2gkOppGfvYz4t59V9z9CuRBhgiVus1mYzf2kaiq5zhOdNi3hoYGam5uVi47gQRVeTdA3a++ylyFzWajHTt20JNPPqlMmwOU81bgGY1GCg8Pp08++UTUeW6hw7yhwmg6+/e/p/5ly0QLUo7jqKCgwHmNwY5Mp+Tx8XEqLy+Xl7rnLMNoNFJxcTENDQ1RcnIyxcbGUn9/P508eZJOv/YajYaH0xAcrGV9PHeWoL4cx5Hp2DEa2rKFqpcsoVbwzvsagIoWL6a2zZsp5/e/J4PBMDUxKuUi8XvxKfQklmsPFShlpl1VVUUtLS3KzNIlGkNlPvywqBBijY2NNHv2bOmD1rOA81bgPffcc7Rjxw5RL6SkNDUKjqbLysp4wxqJH7DNZqOKigp3wSTT2II1c8PZil6vJ71eT4cPH6a8vDzS6XSUlpbmPQmtyOfONItgeO49S5dSwUsv0eDgICUkJFB8fDyNjIxQa2ur/8N2iUGmSj0+Pl74WUgs12az0eHDh2XFnCwtLVUmC4Yf3V1eeeUV2rRp0zmbO++8FHiVlZU0c+ZMqqqqYj4nKytLXqcuczTd0dFBzc3NZz5AiYLUarVSbW0t1TnmJZM4gux99llKS0s75wLRjo2NkcFgoLy8PIqNjaWuri7q6uoSFbNwEsbn7tNCWGLHbbVaaXh4mJqamig2NpZOnz5NjY2NgTdAUWDNOyMjYzLcl5xyzWYzHTlyRJFIL5mZmfJDpckwhmJKbeTA2NgYrVmzhv7whz/Ia3OAct4JPI7jaPv27fTTn/6U+Zyenh7/5itzYWxszLP1lwRBarVaSavV0unTp/kNEkaQzQBl/+Qnyl6okog0Tujr66Ph4WGKjY2l1NRUGh8f96vfl081kkJGUDabjSwWC6WmptLRo0dpcHDwjNP0VKFgnM/Tp09TbW0tL6wklDsWEUGZn3/Olq+PkZSUFBodHZVXiIznbzAYRAXCP3z4MC1cuPCcTCN03gm8Tz/9lCIiImhwcJDpeI7jqL293bvBh4rY66+vr1e0XKvVSq2trVRZWSlqBGkBn825dMmSgHFKdkKEccLAwAA1NDRQbGwsabXaKXvGRD7WoVQM/GwymaimpoY0Gs2kFkG06lNukAKF/Vb7+/vpxIkTNBodLaq8IfD57EZY3XhE3IPk5GR5akIZRnAcx1Fra6tvS20H9uzZQ4899pj09gYo55XAMxqNFBERIcrnbnh42D+5yjyg1+tVi2putVqpvb2dTp48yTSCNIAPTl3vZQYxpTCscXHh4VT68ssUHx9Pw8PD1N3dPdWtJiLyPsvyU1iw4eFhMhqNFBsbS2VlZb5nJUoFKVAhMpHZbKa0hx5itmY2gM9UbvRRrtR7YDabKXsie7pkZBjBtbW1iQqsodVqz0kDlvNK4D333HO0fft2US+d6jEOvTA6Oqq6Q7Jd6FX+/e9eP6amCUHXIzCCFI0K2d99rXHVAVQ18W/L0qUB59/nNSu9v/P5EZ+VfGBggNLT03ktgCtKWiCrJdDfe48ywZvoeytHD15roWctV+I96O3tpYaGBrayPSHDCC4lJUVUlJpf/epX55wBy3kj8KqqqkQbqsTHx0+ZZZvVaqX4+Hi/1dXa2kqnX3tN8AOuBb9mNyamExNCzezvAjPUMYBGATo8Ieyc9suZoaogsL0OrKY48HN9fT3l5uZSV1cXr/ZVOtejWpGJJso9AVCfh3L6wQ/kesWUSyT5Hpw8eZJ5OcXntUkwghNrwBIVFXVOGbCcNwLvjjvuoGeeeYb5eI8xIP2A3f/Hn9gNWer+9S+nEeQpgFoBGo+IUDXwragZgSsCa1xJ4FVUPXI6TFdUFNheQ2UFSODn8fFxys/Pp/grr/TsXyj0YxlcqBXnc6Lc4wANCAg7LVxmgCLLldLeqbRstlqtorIjxMfH0+LFi0Wt/wUy54XAy8jIoPnz5zMbJXAcR1qtVr5llUSm6oOwuyw0NzcTtbZS5cGD1PbUU2R55x2/BL5lnhG4MjEDGpj4JQNkYqlLzAxI5ZBcPmNDBkrg59ZWsoaHU9HEQEirlPBVKzKRQ7kZOBNovR+8mr5bSrkKGBH5e0DriF1dzQLHcbR161Z66aWX1G2UnzjnBR7HcXTjjTfSa6+9xnxOf3//lC3W1tfXK6PykIjVaqWKigo6duwYtba2KqO/V7uzfuEFSoGLaorlx7rGpbbAJgZVU6AEfnZQr46DX/tKUGpwodagwqHc9AlB3Sgk7FjLVUDFbLPZpkzo6XQ6amlpYT4+NzeX5syZIyoEY6Byzmc812g0aGlpwTPPPMN0PBEhOztb/QzUApjNZphMJsybN8/vdduZPn06LrzwQgwNDWHmzJmYPn26vAJVzP5utVoxOjqK+O5ubANwKYDFYuphzaDuIcu8IBKzzK9atcr7AVu2AK+/7jujdkQE8MYb/PFq4JAB/UIA6wHcAeAYgAEABobzPPLoo8DnnwM7dwKRkc77IiP57Z9/DjzyiLg2O5R7TXg4MgBMA7BUarkKZI+fNm0abrnlFpw4cUJaWTIIDw9HTU0NxsbGmI6/6aabsGvXLrz22msqt8wPTLXEVROLxULr168XteialJSkTOUSDBtSU1N9W1GpYeHoVHwr1dTUkNVqpePHj8vX3atkcJGbm0sNDQ18xBg117hU9IFzhNn5e6oDP3t5nnrwxkFHpc7wHFEhzufg4CBVpqZS/+uvU9p3vsOnzZJSrkLvNMdx1NjYOGUO3mKCYtuN/hobG9VrkB84pwXeX/7yF1qzZg1zSCidTiffUEWiYUNZWZn3Tk9NC8cJent7qbS01EmNeezYMXlrmQqb1Nsj5Pf19ckOIcWEnywkRbu/TFXgZ4bBxRBA8eDXUTmJAwClGR0dpaKiIqdoRampqTQyMiK+MAUHWP39/cIB3f2A1WoV5eP7yCOP0He+8x0VW6Q+56zAGx0dpeXLl9O///1v5nMaGhrkrZ9JXIPo7+/37tzuhxxmg4ODlJOTI2gsk5KSIj3UkkICY2RkhPr6+jwnqVRrjctPPnBnlYMv4+CiBrzfY8fNN09pc8fHxyk7O5uGh4fd9qWmpkr75hUcYJ04cUJYs6OyNoeIRGWQb2lpoZkzZ3r3GQ1wzlmB95vf/IauueYaZmvHkZEROnr0qPQKZURlLyws9NxOPxhMmM1mSktL8+pzmJiYKM2ARYHR8MmTJ6m6utr3SFiNgYGfZnhiomAogpzOVMTgYiw8nCr//nfKyclR60q8YrVaKS0tzWunnpGRIT5LucIDLKcZvh+0OXZqa2upVcSzf+655+jOO+9UrH5/c04KvMHBQQoLC2OLUjLx4cfu3StvFCVxxKfX66mjo0PxcsXAmqFcsiO+jGtITk52zhLhC6XXuPzkAyc2yahklOpMRQ4uenp6KCEhwa+BHDiOo6SkJKasB6mpqeIzSCg8wNJoNFOSkV5Mzr++vj6aP3/+lIZblMM5KfDefvttuvHGG70/RIcP/zT4iBySR1ESDRu41lbviT/9YDBx+PBh5zVOHyN/SQkxJYyGLRYLJSQkSM9YoOQalx8GHSwJYGWjdGcqcnBhtVopOzvbff1VBTiOo/j4eFH+rElJSeJV9woOsMZSUyl70SJR34kS2AcGrDz//PN01113KVK3vznnBJ7JZKLIyEjvRgAOH74NvPOsTc6HL1HtFfeDH3j/IFVWpx05cuTMor2Ikb9GoxHfYTF2tqYPP6Tm5mYqLS0VV76aqO0D19pKA2+8oepajaqqcZGDi66uLsrNzVU1eoeUd9Rms0kP+qDAAIvbvp064DkMmhIDK0/09/cz5+3r7u6mWbNmUXl5uWL1+4tzTuB9+OGHtGHDBuY1sV6ACuV++BIMGzIB0j/3nOLlEsBkMHH8+PEzL7iEkb8koedjNNybkEDZ2dlT6njvETVUTQ6DDI2PQYZsAiVSywQcx1F6ejpptVrFy5YT8H14eJhKS0v9H0N3QpvTAz5uLVPoNgWtX3t7e0XlRfzRj35E3/72txWp25+cUwLPYrHQmjVr6B//+Ifng1w+/FglPnyRM7EW8BZsLNHeJQk8H+VWVlaeWTeUMfKPi4tTbDTc3NxMOTk5Uxasmwkl1wddBGiKEgLUE37yJZRCeXk5nTx5UrHnrsRaaHNzs/+NiBy+9Wy4x/2U+q2LITEx0atKt7GxkQ4cOEAxMTHU1NREF110kWCeTvtxgcg5JfD+/e9/06pVqzz73bl8+DngwyPJ/vBFGDbYAGoAaDQiQtFyWdur0+moqanpzEK+zJG/2xqgSDiOo6qqqsBSYfpCrvpKYJAxxDjIkMQUZ1vwRUNDA5WWlsrOMK9kKq+8vDy/Zrx31ebEgXGWJyMFlBCewp2lpqZSamoq7du3j2JiYoiI6Hvf+x49/vjjbsfu2rUrYAXeORNajIjw61//Gj/72c8wY8YM4YO+/HIyRJQNwGrw4ZG80tnJn+eNlSuBtWuZ2jkOwAxg1vr1wIoVipU7ybp1Hss1mUwwmUwIDQ3FBRdcoEjYr7vvvhtpaWkwmUziygEfSq28vBwzZszANddcI/r8KWPlSuDpp4HXXuP/XblS3PkCocqyPB0rMVSZEwqEwlKTNWvWIDIyEg0NDeju7pZUhkajwb2bNgG//S3w4ov8v21tktu0efNmZGZmgogklyEKlzB3ewAclnCeXLZt2yb4DHbt2oVdu3YhLCxsctvBgwfxj3/8A52dnZPb0tLSEBUVpWiblOScEXjJycnQ6XT47//+b88HOXzARgBdrIWzfPivvuo7ziGANACXR0QAr7zCVjdjuQD44zyUS0To7++H1WpFaGgov9FhAMCMwADgzjvvRE5ODoaHh5mL6e/vR01NDcLDw7FWrFA/m/EwyLB6O4cxtqhHpHaKCnem3li2bBlWr16NsbExVFZWijo37s03cd///R+weTPw7LN8LNFnn+X/3rkTyMmR1KY77rgD8fHxks4Vzd69bvFDdwFo8nZOZCR/nsLYbDam46644grccccdePfddye3GQwGrFmzRvE2KcU5I/DefPNNPPPMM5g1a5bngxw+4OMANrEWzvLhMwT3PQzgzvBwccF9FQoaPDAwgLa2Nlx66aVnNio48t+1axeKi4sxMDDg8/SamhoYDAasXr0aEazC/Fzhyy/B6XQYBmAB0D/x2wagF3zwZQ7AqOM5LFoGbwh0pj5RqTP1xpw5c3DxxRdj5cqVOHbsGNM5mqeewr2/+x2QmcnfJ0c6O/ntDzwA/O1vktq0Z88exMXFSTpXFALanAvBa4M8zjG9aHOkEhoaiuLiYnAcx3T8888/jz/96U/Q6/X44osvsG/fPkXbozTnhMArLi5GWVkZnnzySe8HTnz4ZQB2sBYu5sP3Eu29fdkyXLF5My44dEhWtHcpUeRHR0dRXFzsngFC4ZH/9u3bUVNTg56eHo+nZmZmYsmSJbjkkkumNCuEmoyMjKC7uxtZWVmor69HVVUVNBoNKioq0FRfj8PgR+6DAE4D6ACQA6AOQDUAE4ACABrwmoh0AJqcHHR3d6OsrAylpaWwWCywWr3OC8+gsGpcNm1tHlWP06ZNQ2hoKLZv3+51dkVEiHvjDdz7xRe+tRQ6HfDCC5JmeiHt7binsREJDzwgW03qExdtznTw74igJkqMlkgk99xzDw4fZlKo4sYbb8S1116L6OjoM5qjQGZqlxCV4b/+67/oySefZDt4xw7qAMgq0UiDGRfDhp6yMvGRHBjK9WUwwXGc58V8FYxiOI6j0tJSwXBFycnJ6ifV9UP8QUeGh4eppKSEhoaGKCUlhTQaDRkMBtJqtdTf3+9ufejBgETDYEBitVrJZDJRS0sLabVaqqmpIY1GQ6WlpdTd3U1t3oygAiGfnsgoL57eXZvNxkdt2b5dlsGVmLb2AVTppa2KIeD+4vZuKBxpRYjOzk7BQPr79++fNFqxc+jQIQoLC5sMPRgdHR2wRitnvcDr6emhmTNn0qlTp5iONx07Rsf9HM3A7nM0FRw5csT7ASr4Z1mtVjp9+jQ1NDRMbktKSpJlzekTP8YfLCsro7y8PNLpdJSamko6nY4pfBUReRxkeE1c62OQMT4+ThaLhYqLiyklJYX6+vooIyPDPVjyFIStklu3q9CzWCyUnJxM1qYm9VwtBNpqAe8fN+YPoePi/sIBdMLefn+kgCJe4On1erftQgIvJSWFwsPDJy08gwJPRd5880269dZbmY+PjY31+4evpLm0GBobG33PKlUa+VutVmpsbKTq6mp3Yaf0LEzl52kymejIkSPU2tpKxcXFohx0BREYZGQrNTNxaPPRo0eprq6OqqqqzrR5KvLpyYzywnEcxcXFkclkomPHjvHvklquFl7aWg9QjwoDYo84aHM6f/UrGq2rk1+eiO9OqN8SEnipqan0jW98gy699FKKjo6mXbt20aZNmyg6Olpee1XgrBZ4VquVLr74Yvrqq6+Yjm9sbKTm5mb+Dz99+CUlJVOS72p8fJyqqqrYHHpVEhhWq5X++c9/nvGxU2MWplLIrJGREcrKyqKenh46evSotLxpnhAYZMQq0GZvlJWVUUZGBvX19dHp06f9m09PAS3C0NAQRUdHn/GNUysKkY+2JgJkljkYkUJTU5OgkzcTEr+74eFhSk1Nddq2b98+QUHW09NDF110EdXU1NCBAwdo//790tqqMme1wDt8+DAtX76cWZ2k1+vd15BU/PBtNhs1NDRIi0Yik6KiIuru7mY/QYUBQEZGBg0NDVFbWxtVvvKKOrMwBVWyNpuNuru7qaCggI4cOaJu1BeXQUabUvfDB2azmZqamig2Npb6+/vVD+OmQJQXo9FIJSUlZDAYKCkpiX8uaszwGNsa66WtapKQkOC1r3OMhDLJxHs2AFAMQNEA7QPoEON71tDQQBzHUUlJCUVHR1NoaOjk7M01+/l3vvMd2rp1K0VFRVFUVFRwhqc099xzD/3yl79kPt7nepbCjI2NUXV1tV/rJOKTOhYUFEg7WaEBQF5e3uSitzUjg9qXLuUX/RWchSkZMis3N5eSkpLIZDK55/1TyxDGYZBRpNAgQwytra3U1dVFcXFx0hP8+kKmYBoYGKCqqqrJd8lkMvG5G1talE/bxNhWDvxMj0mIKkxiYqLgdqFIKI7ajwMO7R0AKBSgEobvrqamhnntPSsri8LCwtQ3TJPBWSvwWlpaaMaMGd4t0xzIzMwUtDpSk6lYuzObzR4/Cn9RUVHhHItwxw6yTsxiTrF0TKxqIgU6U61WS+Xl5dTV1eVevr8MYVpbSfPYY/5RLwpgTw+j1WqZvydmZKge+/v7qba2lvr6+pyKHBoa4uOuKm2lKaKtg+BDBNrb6i8GBwe9xvl0WmOb0H40ArTfpf37wc/0fN0fr1beAsdefvnl3mMZTzFnrR/eX//6V9x5551YweArxHEc5syZ41c/kczMTGzfvt1v9dkpKyvDHXfc4fd67eh0OsydOxfh4eH8honIItMBRACYA8BnMDPWyCIyHOczMzNRVVWFFStWYOPGjVi2bJnzMR9/zDssq+TQ7MTKlbji5z+XHqpMJiEhIbjzzjsRHh6OBQsWID4+HhaLRZnCJfp66mfPhsFgwMKFC7Fo0SKnfXPnzsW6detQ84MfKBKFSEpbZ4EPEDAu8jy5TJs2DYODg74PdIjoEwbgc/BBDRxx/VvouwsJCcHKlSudwod5IiQkBE888QRiYmJ8t2+KOCsFHhHhH//4h/cwYg7YbDYsX75c5VY517ds2TL1BKwHx92BgQGsWLEC06ZNzWM1mUxoaWlxjqXnEL5sOoAVE/9qvRXEGllEZEdjBjAAIMtoxNVXX40tW7YIx13NzubvrYoOza5IiUWqNLNmzcK8efOwZ88eHD16FFqtlq1z9YaEKC/68HAM7tyJuXPnYomHZ7x48WJMu/566J9/XnYUIiltvQBACIC2pUvFRaTx4nTPwpw5c9DQ0IDx8XHvBzp8d6Hg3/tQh93FEIg05eG7u+qqq5j7lIcffhiFhYXQar1+4VPHVE8xpZCTk0MLFy5kXndITExk95NSAJPJdMYaVEm8qNi47dsp8/33pyy9DsdxlJyc7F6/gJrIClAVQO0+VFo+EeE4Xwzel8kQHu7byGAKcseJVn/7wcG+s6iI+l57jVIfeoi4d9+VXoeI+9kPkHbzZmaDq+PHj5M5I0M5gyuRzz5t40Y2wx+F1ePx8fGC2ydVml7Us43g1/AGRHx3eXl5zG3bvXs3vfLKK6Kux1+clQLvySefpCeeeILp2MHBQUpLS1O5Rc5oNBq/+5qlAjS0bJnqERg84TE3nod1NtuEEOrxcD3MhgA+OigrQIcBamUVTlOUO66yspLtQH+sK7rUwYG3TBwOD5dWB6Ov5wBAdUuWUI+HztwTCQkJ/H+UMLiS4Jfqc7CigtuPXq8XzFA+KfC8rG/vgovBCsN3V1tbyxzc47PPPqN169YFZG7Ls07gjY+PU1hYGB0/fpzp+NraWr/e+PKPPybtjTf61desDw6Oy2o7wwrgNXGkl1kYBz4nodtIU4wA8dBBceBnkIVwCCPHcm+mKHcck4+VPwImeKkjFbzh0aCUgZWPthsBOrV4MfX97neSmq2ogZjI+2yPLCSISn6i3d3dZ5I4OzAp8Dx8dwe8CTsf311GRgZT20ZHR2nevHlUVFTEdLw/OesEXnx8PK1atYrZt62qqkrlFjnw0UdUuXix98SNKvianYRLskilnGEZZqmpqam+o7n4aH86QMNy2u/SQRkBynQVpKz3XS2HZh/47LBV6jjF1tECfrZcvHixtJmegOpxODycSq+7jvRJSeLbPAHHcYpkO/fVViE1KcdxVFdX5+7OQqSqelyj0bgN5oWsNO2/GBdh5yb4fNSt1+uZl5EeeeQReuaZZ5ivxV+cdQLvgQceoOeff57p2P7+fuaZoGyOHydbePgZU2WlOiQfKjYL+JBHYkZqPmFUmxUWFlJvby9beT460qMAmeR01hMdVNWSJXTMcQAgdh1nimZ4PkfD/lhXZKzDBj5Du+bKK6VdrIPq0fT225QbG6uIA7zVaj2j3lQKRjXp6dOn3WfpLt9uI/gZVoyH+xoN0KGFCynm17+mQ4cO+Wya0PU6RUJx+O5SwTubD0z8Gl3bwfDdNTc3e57JupCamkrLli3zq+0EC2eVwDMajaICRaekpPhPnbljByVAhSwMPjrgZLiEOpLbATOqcxqjo6m1tZX9/jKUm7RwIVn+8hdJzR4bG6O8vDyqy8qSt46jQgYJFrz6v/ljXVFCHVxEBMX++c+Sr9lisVB6erqijsqjo6P+G+S64LaO7fDtpk789nkQePsn9tu/3X379rlFMhGio6ODxsfHPUdC+egjalyyhAC4/aIdhR2j1ol1Fm21WikiIsLvwT58cVYJvI8//piuvvpqpmOtVivb7EMJWlupf9kyylKjQ/KiYmsCqMxT+VJUbIxqMwtAzUuW0KhYYyAGNVFCQoLoUGxdXV1UVlamXGCBKbDS9NqR+GPWKaOO+Ph40SN5m81GKSkpqkR40el0Xp2z1STbcZYk8O3u9yDwQl2+3ZiYGKaMA3V1db5nxwqGDdTr9cz39rnnnqPvfe97zGX7g7PKD+9f//oXvvvd7zIdOzw8jObmZraCZfrG4Msv0d/dja1izpHpa0YA2gBcLfI8r/ziF759z8AnpRzq7cWs118XV/6WLUB6OpCf73y/8/P57Vu2TCafJCKmIisqKmAymXD55Zcr5/fokojTKwol4ly8eLHnnQpmplejjt27dyMnJwd6vZ7puRERkpOTsWvXLlx44YXS6vXC7NmzMTIywvwOKclll12G0dGJfPWM32ApeOfwSZYsQVhYGNLS0pjqS09P934Qw3cnhpCQEKbjHn74YXz11VcYGxsTVb6qTK28ZcdgMNAFF1xAWq2W6XihBV03lDLxfuEFqpIyOpbha2YEb50pa/boWg/D7M4KULycehhhsbpLTU0lo9GojtrazymkvGojAnyGZ6empoZqa2vPZDTwANO3KZPCwkJxwdMVoqOj48ySi8C3KzTDSwVok8s3lZqaSlFRUUx1NjY2Uk1NjYpX5QyrWpPjOLrkkkvo8OHD6jZIBGfNDC8lJQXr16/H6tWrfR47NjaGdevWeR+JKBg6qpYIbGMeF1hGgCtXAmvXum0ugcuo0JF16wCGkGtOOERm8EYCgN32P1hnqRK49957ERcX53GUHhcXh69//euYP38+84hTFI8+Cnz+ObBzp3v0jchIfvvnnwOPPKJIdSdOnPC8U0K0EkRGiosAokAd69atw+LFi1FZWQmDwSB4ikajwZ49e9R5Zg5cf/31KCgogM1mU7UeVyIjI9Hc3MxHQvHw7bpicPzD4dvV6/VMda5YscIt/JqaXHPNNTh16pTP40JCQrBnzx7Ex8f7oVWMTLXEZeW73/0uvfDCC0zHmkwm7znoFDbxPvzxx+oaOrhYOVaAt7KS2l5BGMzxjwDuLhcqB87VaDRua3p+D8rth9xxrnnH3AggK01fdZjNZsrJySGDweC0XVG3AUbsWbj9TZLdxcLl2xWa4R0CKMrl2z106BDzDI+Iz1TgL8xms6DTuxBpaWkUGRk5JSnShDgrBJ7ZbKbQ0FDm8DY+VSYKdh4DAwM0PDysfoc0oWKzTAgexVVsPlRarQDpfai01MIxD9hUZY+XjQ+fxqnKTK9WHRzHTeZDJJqi59baStZ33qHCRx5RLfyaJwYHB89k4HBQjwsJvBKAQkNCnL7dmJgY2rRpE3N9XV1dlJubq/BVCDDxHmd+97tM93R8fJzmz58fME7oZ4XAy8jIoKVLlzKNEiwWCyUnJ3s+QGET79raWn79xU8dUvvNN9O4az1K5E/zYo5vAagGE35yjPdFaRITE5l8kwIOxnViJoEwxZFWxNbBcRylpqbSZ5995v1ApcPwudzzNkwEIVA6rZMXRkZGnN2nJiwl98+e7SzwJr7d0Llznc6Pjo72baXpct9y1ZxBu9zTcoC0jPf0wQcfpJdeekm9tongrBB4zz33HD322GNMxxoMBjKZTJ4PUNgAwElN44cOqbCwUD0Vm4dZqhYe8tgpFdGFAY1GQ0eOHKGRkRG/1SkbEe8D88K+Cpnp1axDo9FQcnKysNuCGnFBBe75EPi4rZzLPVcbe0JhR/bddRdF797t9u3u37/fSa29a9cuz354Hu5b17JlZN2+XXmB7uE9rhR4j4X49NNPmd3J1CbgBR7HcXTppZcyq0SKi4u9q4cUDB1VV1fnbl2nYofU2NhIFRUVks/3icAsdQQeVKh+itnJcRzFx8dPqqiPHTvmtjYUkIhcJx4S66Drh3VFuXU4DgYTEhKclxnUGBx6ueenAKr18f4ODAxQdHQ0xcTETP7kwHHcZDJmj47hDhw4cIBSU1MpJibG85qul/vWDVC+0gLdyz11i/DkoU/Q6/V0wQUXUEtLizJtkkHAC7zq6mqaOXMmv07GgE/BqOAMr7+/37MJtgodkldVrVK4fFBJSnREYplQ1XDPP09J+/eTtanJaXdOTo7/ggpIxcuarnXi1wGQDqAxgD5et446OjrIbDZTb29vQEaaZ8VTluzJbWrFBfWxjh4PPiza5DYXDcVkSK4JvAoeRvr6+pTTSjDcN43SA1Iv9/QoXGLgCtzTM8XsoN///vfy2yOTgBd4b731Ft19991Mx+p0Ot8doYKhozzlpFIDg8Hg27BBKSZmqZ3Lljm/0EqqzTzV66CqyZsQBq4qLo7jqKioSDBavFf8kENusp6ICBoBn/4oCaDT4NdBNQCVTgi7AoDqwKvcfjtvHlWlpdHo6Cjl5ORQXFwcGY1GOnr0KGk0Gurr66OqqqqAF/Qcx1FcXJxHga3RaNQx8GJYm+fgEpnI5bvetWuXU5H2WZkcGhoalPMHZLhvIwB1iblv3vBxT8cBymDsK9955x2644475LVHAQJe4N1xxx30f//3f0zH9vb2soWXUuCDKy4uplY/Wn2dPHmS9Hq93+rjOI5OHj1K42+/ra7azI7LzLJ5YvbjaWZps9mosrKSmlxmf4L4I4cc8QOu4eFhSt6/nzTgDSW0dqHt4zcAeLV4NZvNZDQa6fjx41RdXU01NTWUkpJCo6OjATMbtFqtlJiY6NW4jGtpIc3ChYoMOJ1g1Nxo4RJ71uGeb9q0ifbv3z/594EDB9zX0SQMmhSxUGU0tjPCwWVJrlEZwz0VDH4h8B5XVlbS7NmzyWw2S2+PAgS0wDObzTR37lzmdSvmF0sBi0qtVuu3jsZms/ndn6i7u5tOnDjhn8pcVDXD4GdBvp6H1Wqluro6qq2t9Vy2yoZEnZ2d1NXVRRqNhk6ePMkLoOefF9eh20fKIn0a7QGze3t7KTExkVpaWqZM+JnNZjp69KjvmJrvvUc28El5Rd0jX+4vjGvzHXBJi+Nwz0tKSig0NJSioqIoOjqaSkpKzpQvY9DU09ND5eXlLLfR631jvVcaMffNGwr65tpsNlq8eLF/XCe8ENCRVkpLS3HhhRfiyiuv9Hlsf38/VrBGF9myBXj9dd/xEiMigDfeEIw1Nzg4qHq0CDsFBQW48847/VKXnby8PNx8883+qcwhhicHIBfANZ6O1en44wFMnz4dUVFRuOiii3D69Gn3Y7Oz+biBviLI6HTACy8AOTlMzbVYLGhsbERcXBxmzpyJiy66CPfeey++9rWvYdasWQhZupSpHEcMgOj4pzNnzsTmzZuxePFi3HXXXejr60NDQwNOnToFo9Eoug1SGRsbQ35+PrZt24YLLrjA+8G9vZgG4OvgnzMzvmJ9Mt67SAA9AEwC523atAn79+9HVFQUDh48iOLiYn6HzKhMoaGh7H2TJ0TEOr0BQLWE89xguKcbwEd98nXetGnTsH37dmRmZkpvjxJMqbj1wa9//Wv65je/yXTs6Oio+DQjEi0qxaS7VwKvUWNcUWCdqrKy0n95rFxUNXFCI0bXn4uqxmq1UltbG1VWVjqXrfBa0ejoKOXm5lJnZydVV1d7vyaR68S6ZcsU9Wk8duwYpaSkqP4ch4aGqLCwkNmozD5T4cCrrLVKzfBE3vMMgfdo//79kyrMmJgYAkAx//u/ihjYyDV+ETPDMwE0qMQMj/GeOkV98qJG/d3vfke333679PYoQEALPDHrd+np6d7977wh0qIyJydHWj0SGB0dpYyMDN8HKrROZbFYqKGhwX+qMYcPOR4i8gm6fMhWq5Xa29vPCD0FAwyYzWYqLi6mlJQU9usSKWzzRETVYMVsNlNzczOVlpaKGzQxYjAY6OTJk+LcRBw60XHwrgKjEp+LGyLuuR4gw9atk6cKGaiUlJTQprlzFRk0DQ4OUprYdFoe7hvLL1HMffMGwz2tYLh+osBYxwtYlabFYkFOTg527NjBdLzRaMRFF10krbKVK4GnnwZee43/d+VKj4cSES677DJp9Ujg6NGj2L59u/eDFAyE3d7ejrGxMb+pa+0qlxwANwOYLvI8O9OnT0d4eDgWLlzIB7ZlDIbthEswbJvNhoqKCrS1tSEyMhLf+MY32MsSmWKoe98+cW1lYMaMGVi1ahWuvvpqtLW1ISUlBUTEXoCXtFkDAwPo6urC8uXLsWDBAvYyHQIqXwhgNoAWX+ewBkMXcc9nLFuG+u9/f/JvvV7vll5q05IliLJamcqbpLYWaG932zxv3jyEhoaKu/+OMAaithMGoOuSS8QHkXeF4Z52ARgFfKbK2rBhA2bPnn1GVTwVTJmo9UF+fj6FhYUxhRMbHh5mDmYql8HBQTp27Ji0k0WqG4eHh6mhocF7mQr6NHnyn1L6upx47z3qBqhBzChaYIZnx2q1UktLC1Xv3y+uPPtvYsFdp9M5ObxLQoTBDJO1qUxGR0eppKSEWlpavH9XPrQF/YmJ1NDQIN1FwsVoLAteUl2J9ScTcc+PHz8+2W8MDAzQvn37nIpqfPFFwWStUt/N9vZ2eSpmEcZ2XHg4tX7xhfS6HPFxTwcBqlq8mMnwa+/evfTGG28o0y4JBKzAE7N+19vb65cOg4gPFyQ6S7NEdePw8LBvVZSC61QlJSXirk0BNSrX0kIdy5bxZvmsPx+qGqvVStr/9//cI0Ew/EbfeovKy8uZA5Uz3SOGdeKysjJ59YgYdBiNRkpPTxceJPro3PoB0i5ZQt2MSw0ecaknDi5O4Q6CyZHGxkaKjo6mQ4cOUUxMjLAbkoi1eUc1dWNjIx04cGAyysqhb35T1qDJFYvFMhl5Ran75k2gO1mZysXLPTVv3069CQlMxUz1Ol7ACjwx63f+SChpR/RaiAyzeJ/XpeA6Fcdx1Nrayn4fFTL3N5lMlHfNNYoJbTvWpiaqXrKEWkSUe3rJEqo7fpx0Oh3bPRCDj3Viyb5aMgYdx48fp9LSUscNPoVdE/gQVopE8nDoRDk4ODF7MBprbGx0cg7fv3+/d8dwhrV5rwEdVEi8680pnxlGgR4fH09Wq1VeXa54uKes729VVdWUruMFpMDjOI4WLlzIB0pmQNGRjA9EjfxlqBvNZrNvyy4FP0ij0cieU0tBNapGo1Et04R1+3Yqg4ADu8AvBaChrVunzI/Nq9WnJxQYdDQ3N1Nubi4fIs+LtkAPXu3cLXLgwcREJzrw059Sx69+5XF2um/fPqdvYmBggC3QhBfa2to8LxsoGJXJztjYmHIBJHwIdIPB4Ddr8vz8fOrp6fF5nM1mo3nz5sn3S5RIQAo8rVZLF1xwgec4lS40Nzer3CKe0tJScXXJUDcODw/7drNQMBC2qBmGQmpU1TNNZGcTFx5OeeBnJ57K1YBf8/BHMGxPiBZ4Cg46DAYDlSYlkW7pUsHzDQBVA9QrsnMXC8dxVFhYKDjoGBgYILvJQUlJiedMAhLw+u4r7NrS398vbXAjgfHxcb+FohsfH6fBwUGmY7dv305//etfVW6RMAFppVlSUoIrr7wSM2fO9HlsTU0NxsbG/NAqgIiwatUqtoPb2niLLTE4WHhVVVXB6stCTKSjsqfzent7ccMNN7CdK/O67FRUVDhbnz76KPD558DOnUBkpPP5kZH89s8/Bx55hL3eLVsQ8sYbuDE8HJUAhgQOiQNwb0QEQt58UzDAgL+oFXtPHZz1feLgrC/EggULcMWpUxjv6UG5y75h8FaUSwEsdj3RxapVLiEhIVi5ciUKCwvd9mm1WoSGhuKLL75AVFQUDAYDnnjiCUXqve222zxbDoq0tvVmpQgAYWFh4p+1RC688ELk5opy75cMEaG8vJzp2GuvvRYlJW7u6n4hYAXetddey3RsZ2cn1oow15XD4sVun7xnZJrF63Q6zJs3z/vxe/e6CwdfREby5zkwY8YMzJgxg+18Bcz9iQiLFi1yv74tW4D0dCA/39kcPj+f3y5FID36KEIOHcL2nTtRsGjRZIQNAhC3cCHulSJIVYB5IAUoNuhw5MKBAVwMYDWAYxPbTABOA1gF3sxdEDmRPAQIDw+HwWDA6Oio03atVguDwYCoqCiEhoZi06ZNAIC33npLdp2zZs3yHAlFgahMrmzatAk9PT1e3T6UYs2aNWhoaBDeqWD9F110Efr7+5mOnUqBF5Aqzdtuu43+8Ic/MB0rV4cviIDFm+jYkjLUjd3d3exuFgqoXESpMxVQow4PD1NBQQF7nUrR2krJTzxBpoMHKe4HP1AmGLZCGRhEWRmrYEzhWOYYQAng3QVG5JQpEXs2DEcOHTpErt1VdHQ0bVLIYd9nHFAF81zqk5JocMsW1YOZE/EWy25rhioFU29vb2cykqmpqaGZM2f6L5qTAwEn8DiOo7CwMMrPz2c6PoHRHJYJLy9C3jXXkEFMPjoZnVJXVxe7wJNp8FFaWiouMaMCna3T2p2fMZvN9Mtf/lK+9ZrCnYa/Bx1uOBhoWMGnNIr3VZ7Ca3iOtLW1Oa3hl5SUuAm8Q4cOUVRUlCL1Wa1WtnRfcvNcTqxVx/r6ThXKN8lxnLMxmorB1KuqqpjsLmw2m6ikAEoScAKvqamJpk+fzhQXs7e3V7kwXwzOldbwcPYXQYaFl2iBIOMlbmtrY3LuV+K6iPgQcKJjniqEyWSipKQkIiJ5TuUqdBqirH/VmOEREe3YQRz4sFQW8KG/BLPd239KWWkKMDQ0RMePH3fa5irwYmJi3HLYyeH06dPifWzF4GBolAmHeJee3h+FZnqqJ96doK2tjdmyfuvWrfTRRx+JvRTZBJzA++KLL+iqq65iOtZgMCjjz8HwIhyW8iJIUDf29vZKM9mVqHJxVR2pdV1EfKQPf+YQdMRsNrs5/Ury31Sp0xDl+6eCuTwREXf8OMUtXOjkAD4IUJGSHbIIFXB2draTleGBAwfo0KFDk3/v2rVLflBmB9ra2qTH42XB4bsZB2/9yvLdyKWjo4MfZKqReNcF1lnbM888Qz/60Y9Ely+XgBN4L7zwAj366KNMx5aXl5PRaJRfqY8XwQoX9Q7riyBB3Tg6OsoeeV4IESqXqqoqqqurE1+HRDWqwWAgrVYr9cokY7PZPEa4EC30VOo0RM/qVWiHRqMh7q9/dXq2HEDtALW6PlMfs1d71JJJJKqAXcP4RUdHU0xMzGS0FSUZHx+nw4cPK1rmJC5BIiwAZSswSGGhsbGRBk+fVixIha+6WPjnP/9JmzdvlnI5sgg4gbdnzx567733mI5VZC2IIVrJEFwW78W8CCLVX0lJSX5zfmZdJxVEglpPkczPIrGvYXjTBDALPQUj27jClBHDEYWd9Z2+JRdtgQmgUwANh4czG2js2rXrjMCToQL2GgnFEzIMiZKTk9X5/gTU0BowpMJSwCiov7+fsn78Y3HvrcT6WfvkkydP0rx58/we6CHgBN769esn11l84TOwMgsM6yHNE6NcyS8Co7rRn5nNOY6TnzJGhBo1Ly+PKRKD0tTW1lJfX5/P45jCMKm1dkYSrY0VWkv0OBBx0Bb0v/46lSQmMnVQqamptH//fl7gyVQB6/V69khKChgSjYyM0MjICFt9YhAwNOoHQxQgb4ZGIih+9FFp767I+uvq6qijo8PncaOjowRAnTB+XvCRnti/WK1WNDY2MvnVEZEyDucMfkRlAO6VcN4kdv+ytjbgq6/4c5csAb71LadURMPDw8zpkOTS19cHrVaLCFanWiEYrwsAli9fjkWLFslstTjGx8dhsViY6t29ezcSExNx++23e/ZJlOpzxnBeVlYW7r3X7S3zzqOPApddxjuV19Y6p4aKjOTT6rzyilffMI1Gg/vuu094pz1tFng/PP1ENvUrr7zSa7MMBgPWrFnD+2VJcZBPT5/ctHDhQuTk5GDjxo2YPt1L8qiPP/ac3b6zk/898ADvK+fF53JwcBC9vb342te+xtZmVgSCRISAwRFaanAJ12K8pDxTsv7IyEjfWe/B+z5efPHFqKurQ3h4uLS2ScGv4tUHDQ0NNGPGDCb/jJaWFmViaDKM2mtVUjW40tHRQe3t7YqXK0RCQoLf1Ak2m42Ki4v9Upcjk+phESqulJQUz1akKs7wRCWXFUKCubwUFXN6errXhK/2dbXo6Gg68D//o4gK2Gq1ele/K2xIpIrbjAdDI43IeyGV+L/+lWx+WMPT6/WUmZnJdOyuXbvoz3/+s5TLkUxACbykpCRav34907F1dXXidftCMFi8nVLxRXQkLi5OnIuADLq6uhRzmvZFYmKi36Ojp6am0tCRI5JUXGlpacJxAVWyjiQiZd5lEcjp1FNSUgQHS42NjZNWk9HR0XTg619XbIDQ3t7ueYCmsAGPTqdTJ6CFQDtPyGinGJqbm6n+hhsUvU+eYDX8+eEPf0g/+9nPJNUhlYAKLVZXV8ccJmzu3Lns4bC84SOTcDcAo+tG1gzMIlmzZg2mTVP/kdiystB0553A5s3As8/yap5nn+X/3rkTyMlRrC6TyYT58+cr86wYqampwcrCQsx95BFJWeBvvfVWlJWVQa/XO+8QmXUaAPO7kpWVJa5cGcTFxXlWYzKwbds2wXBVaWlp2LVr15kNLuHBmBFQATc0NGB4eNj9WBXCrAEAEYkrkwWBuJyXAhCsiSEupxjCw8Ox/I03FI0L6omtW7cyHbd27VrU1dVJqkMqASXw6uvrmQVeQUEBLrroojMb5MSF8xIgthfAVY4bFH4RHbnwwgtVKdeJjz9Gzre+hbVlZaIFgRRsNhuuvvpq3wcqFNfPZrPBnJ+Py373O99rRzod8MILggJ+69atqK+vR1dXl/MOhYIJcxyHrq4ujIyMoLq6Gh0dHRgbG0NjYyNsNhtb+SIhIsTFxWHPnj2yypk1axYsFgs4jpvc5ibsAGD2bGkVCKwbbd++HekOa3uTKBDb1ZXw8HB1BiACcTmbAbi1XkRcTlYuvPBCHBsbUzwuqBB5eXlMx02FwAsoleZtt91GH374IdOxk1EYlArx5MHirRsgs6P+X6GQP6709vZSttrpaSbWOsoVWutgITU11buaVuEQXWNjY9S6ebMiqhuO46i8vNw99JpI60iO42hsbIyysrKourqaqqurKT4+npqamshoNFJNTQ2dOnWKxsbG6OTJk5ScnEwDAwN05MgRyszMJLPZLDsCiM1mo8OHDyu2bjsyMuLk9J2amkrR0dGTv127dtGmK6+k6HnzFFMBNzU1uVvSqhFmjYhOnDjBnJ5MNA7WzUPgo65MXrvIuJximFyzVTAuqBAelwRcsNtsKJ6k1gsBJfBWrVrFtODJcRxvaq50iCeBF0HjhxeRiI9QYDQa1V1Xm1hD0Kqsw7fj081ChRBdhz/+WFFfOavVSjU1NVRfX++8g6HTsNlslJKSQjqdjgoLC73GR0399FPB5z4wMECdnZ108uRJyRmsLRYLpaSkKN6x5ObmUnd3t+C+AwcO0P79+xVdX6utrXUXQioZEg0ODjobz6nxXba2Evfee2T83/+VFpdTJG6RqeTGBfXAyMgIk8CzWCw0Y8YMRXMb+iJgBJ7ZbKaQkBBqY1jgHx4epqPvvKNeXLiJF8H6/POU9sMfqv4iEhENJCWReds29SKoTzhN6x1HlDIEAQttbW2efZpUCNGVlZVF/a+9pngHaLVaSavVCifuFOg0uru7SavVUlxcnG+L44kZrmbhQp/P3WazUVpaGnV1dTGHnzOZTJSRkUHj4+M0MDAwGaVk3759ikQqyc3NddsWHR1NUVFRFBUVRdFiLDV9PGfHWKiTqGRI1NraSqWlpaplFnBEtoUuIydPnlQu27oX2tvbmbN/rF27lo4cOaJugxwIGIHX2tpKISEhTC4JNTU11HDjjYqNHD1htVrlhfli5aOP3Ds8mTMdNyZGwuUA6RUcCXujsbHRs8BT2LJueHiYD1yrkorLarVSa2srVVVVeT3u2LFj1NPTw2bl5zDDdcsm7uW5m81mGhgY8OlWMDw8THl5eTRaV0f03nt0YPPmydnJwMAAhYaGynbt0el0voOBKziTd4r8b0elcG+ap55SLbOAI4mJidJU1iJnnTqdTnCAojRms5nZUnPHjh30t7/9TeUWnSFgBF5+fj4tW7aM6dixujoyh4crPqpzpb29nR/lqcnx42QLD6dEBUbAXpkQBEY4rEkqIAi84TWCh8I+QUNDQ7x/mIq+clarldrb26mystJtH8dxpNFo2NWGLjNcr3EVPTx3juMoNjZWcI3UaDRS2UcfTeZdawRov+O93LGD9u/ZQ/v27WNrrwfGx8cpPT3d94EKrRv19/e7D4oVDrNGRETHj1P/smXKlumB4eFhcW4QEmedNptNXCowGbDGzH3ooYfojTfeULk1ZwgYgRcbG0vXXHMN07F5Tz8tbpYiolNzpKioiEnFKosdO8gE0KjCo1M3JgRBnMr3zI5Wq/Ws1lBBKE2qRVT0lSMSFnomk0m8E7fLrCRWxnPPyMigvr6+yVnCwMAAnXr1VdI7dNgDAIVO/Gvftn/2bNq1YYO4dgvAaqRARLLXjdra2oQHoUqvB+/Ywa76l/NdElF3dzd7AmAZ18lxnPoD+AlYVe4//elP6amnnlK5NWcIGLcEnU7HHOaqq70doVIqERkaau3atYiMjJRSExsTPkTtEDBN9gSDD5Ege/eCIiIQIuacyEhg717xdQFYunQpli1bJrxT4RBdDQ0NZ56Tir5yADB9+nSEh4djwYIFOH36NIxGI3Jzc8WFBRPwHbvO1zlenvuOHTtgNBrR3NyMzs5O9CUnY+kHH2Bhd/fkMaEABib+tVM8OopNLS2y/S5vvfVWdvNye7iy117j/xUZ8mrFihVobW113/Hoo8Dnn/N+pK7fbGQkv/3zz72GFZtk4vnMB9DC2jCp3yX4b6W8vNz3gdnZnsOnOeLB3SYkJAQtLcxXJIvm5mam4yIiIqAT61Yig4AReJ2dncwCb/umTeI6bjsi48JVVFSo5hMFYNKHqAEAc0RLHz5EHlm5EuOXXopdvo88gwwH+8zMTMyaNUt4p9T4gB7OMxqNzvEdFfKV88T06dMRGRkJk8mElJQU7Ny5U9T5Qr5jXR4OncTHc4+KioLNZkN5eTlmvf8+FjsIOyG0E7/nR0b4+JUyWbp0qZNfnprcfPPNsFqt7jvssV3z8519OvPz+e2sfmUTz+drAHs/I/W7nGD9+vW+D5ISl9SFdevWiWyZNC699FKm4yIiItDp6g+sIgEj8MTM8E5edpn7KM4XEmYr/f396kYImZixXA3Ag2jwep5Yun/yE+hYhY0MB3siEu6Q7Ozdq9jzIyIsXbrUeaOAg68gMhxs+/v7MTY2hk2bNjGPZicReH4dEs+zo9frMWvWLFwycyY66uvhS/Q8AeAYJmZ8MmYndnp6evw2Uu/q6sL4+LjnA2TOIu33OQTAoITzVEGhiDKKRHJiCBLBGkTjvJ3h6XQ6ZvWh4cILVVVb2bnxxhvF1SGWCeGjlXieWCouvBCXvPmm6pEWxsbG3KNuOKKg2rGhoQFDQ0Puxyup4nKhu7sbjY2NuOWWWxAVFYWhoSFxo1SB53eFxPMAXtgZDAbMnj0bG06eRFR/P7zFujgIIBrAJvsGKbMTl07v2qVLUVJSIq4MiSxduhSVlZXqVTBxn6cDaJRwnhRqfQkzhSLK1NXVSdda5eTw3w1DSML29nYYjW5BGd2IjIyETqcDEUlrk1j8tlrog2uuuYY5oG1HR4c6llkueI3QroQj6oSBhUYlAwtXmpub+f+oHGmhvb3dtzOpQs8vPj7ed4MUdLC1WCyUkJDgtM1ms1FhYSH19vayFSJgWFMp8bkPDAxQbW3tmVyDE9a4ZeDzOLqWEwNQicPfk/9ntcb1YiGou+km4uwRkFTm9OnT6hXu8HxOgs9OruZ3SURUVVVFJpPJ8wEKudvU19dL88UTaSzT0tLClOvOaDQSAHWCdQsQMAIvPDyc8vLyfB5ns9moqKiI/0OFSB127GbmbijtiLpjB3vkE5nWYG4WWipFWoiPj2fyp5T7/KxWK1NyVyU5evSo4HaO4yg7O5uPlsOCi5Wmz0GPwHMfHBykqqoq53vgYAGbBj5buf3vVIAOgbfUHACocUIAEsBmjevjeZUCNBYerlr4PUcEgwAoycTzaWMVeDKjEnV2dnrPKKKQZXNvb69vv0lXJASJYM1Uz3EczZ49m06dOiWuTRIJGIE3c+ZMqqmp8XlcT08PnThx4swGlWYro6Oj7rnp1BCw2dlUvnixqJdJKlLynzHhMtutFzPKl/H8BgcHqaysTHbzWWlsbPT5ER87dowtY7bLDNfrDE/guY+MjFBJSYn7yNhhdmLCmdRWjQBB4Bdtv9e+ZicMnd4oQCkKvKcsaDQadfM5Tjyf4gmhp+Z3ScSb8Xv1XVPI3aapqYnZZWASCY79XV1dzE7ukZGRfnGIJwoQgWexWAgAU2p4g8EgHL9P4dnK0NCQ8wuoQigsookwaT/9qeoRHUwmEzU0NEg+XxAPs93KJUvEz3YlPL/Dhw/7Lc8ex3FUUVHBdOyRI0fYImc4DKDqRTz38fFxysnJ8Sx8HTqoWjDMUFhmJ4ydXpmYMsXiMLBqfuklai8sVL4ORz76iLqWLvX8bBT4Lu309vb6nrUqEFFmbGyMCgoK2BsmMUjESF0dH/mIgXXr1nnUnChNQAi8gYEBAsCkDurv7/dLVvBTp05RbW3tmQ0qhS/S6/Vn1iRVXFczmUzszq0seJjtDgCUrnBn4AnV1VoOHWzxc89Rq7c1XRcSExPZ1LoTz10wlqbAc7dYLHTs2DHvkfwdZo82gA7LHZyJ6PSaHNuvVNAGgYHVIEAj4eGKxbP0xGhaGg1u3arad2nHZDL57v8UWPe22Wzi1sskqlKt777LRz5i4Nprr6Uvv/ySvU0yCAiB19raSgCYwjK5CSKVaGlpOfNiqBAKy47bjFWldbXGxkbmGYpPvMx2uwBqF9uhSkQ1gefSwXKYiFAjcp02ISGBOYN9UUKCz+dus9koOTmZbVbrMCApdH0mYgckIjq9HDjEBZURh1XoOhx/BoCO+WFgNTIywkfxkftd+jByGx8fp8TERN/lKLCsImppQ6KxjO2FF7xnSnHAn/E0A0LgnT59mmbPns10bGtrK/PIQQ5dXV1nVEYqxmf0S/gy4nNPKWYJ5WW2a4BAcGoV1FuDg4OUlpameLlCHUozQONSBAURxcXFMa01+XoHOI4Tnx7IQWvgtEYodnYiotMzQILlpyd8LCOk+mlg5Zj3TzQijNyYswbI1AaJyk4go+9jzQJxzz330AcffMDeJhkEhMArKChgDhyt0+mYrH/kkpWVdcZ8V6UI/EREZWVlspN7siDJOksIH7PdE+BneW4fosJCvaamxmt+OUl46GBPAWQVGkUzdrAsI2pfLjmsglOQ1laqf/FF4l54QdrsRESnZwEfoJx1wOcVH8sIRtdtaqwbErHHCXVF5GxMdD0SZ52i6pFhLMPaTz/00EP05ptvsrdJBgHheD48PIx58+YxHVtXVweLxaJyi4B58+Zh7ty5/B8Kh8JyZOnSpbjgggukle+Ij+gHBQUFykSNYXCAdbtqmWGXhFi2bBlmz56taJlCoZts4J2Pp7se6yF0kxD33nsvNBoNiMjjMYsXL/a4T6PRYPfu3QgJkRRQjw8r99BDaHjkEWmRR0RExrkAQBYgKw4rAKbIIpmuGxSIGCNYT6ZbTb6REPdSdD0SI8pkZWWJq0NikAjW65k3bx6Gh4fF1SERpp5Wq9UiJiYGa9aswf79+532GQwGfPjhhwgNDZ3c5nrMW2+9haioKOj1eoSFhWHfvn2T24uKimCz2c4IFx/Mnz+f+Vg5hIeHY/r0iW5u717gN7/hO25WGD/4wsJC3HfffdIaCfDRDV56Cairc27fb37Dv6ivvgps2YL58+crI1h9hE+6DB7C9ygcdikrKwt79uxRrkAPHWwrgGs8nWPvYBki+Nx3332Ij4/HPffc4xzeqa0N+PJLrG9pAYqL+XfGoeOKi4uT935MsH79emRmZuKyyy4Tf7K90xPz/suIwwpAXmSRp5+WXq8A3gYqHpEQ99L2k5+Ir0cCoiOtvPoq8MADbNfjEJKQtZ65c+cKR0tywJMMse8rKipCVFQUoqOjvVfmawqYmppKqamptG/fPoqJiXHbHx0d7fR3TEyMk857//79Tn/v27dvMgrHgQMHiIjo7rvvpptuuolpStrZ2clsCCAHNzWUSlaaggktWRGhMlHMQduHeivWi05fSRRfv/NwXSPwkbpJ5HUlJCTw1psuazsaR3XQxNqO0n6Tsta+RVgIDi5bJn89jWEZYRC8QZHYZQSxDA4OilMnSzRyG1Tb6ngCSSpaCcYyrPX88pe/pEcffdTjfm8yhOiMHDlw4IBPOwWfKs1du3Zh165dCAsLE9yfmprq9Pd1112H0tLSyb8///xzp7iKt912G2JiYgDwM0eDwYCuri7mWVthYaEyAVB94Ha9KkXgd4ryLwaRKpPsiXsuGx/qrTlCG+Wqt+w4qG2vLyoSDForGQ8z0FQAMyWc54l77rkHaQcOYPz++4HMzMlZ0+R96+wEMjMRt2cP7h0YEFW2L06cOCH9ZBEBuQu+9z1wN98svS6AaTmgBIBbiHIZ8Sw91lNSIm5WJHF2WvD+++LOkUh+fr74kyTEpi0oKGAqetasWRgbG/O435sMAc7IEa1W66RpFEK25NDr9XjiiScm//7ss88mp5ulpaVugiMsLAxpaWkAgOeffx5vvvkmvvnNb55RH/rAk+BlhiHSNwBs2LDBeYNKEfiPHz/OdJwbIlUmcz7/XFo9rvjQ6d8ktFGueksgaG3G888LBq2VjIeOcjp8pIgR28FmZ+OO//wHx7u6MOKwebPD/+MAXtgJ5DSTw5w5czAgR4gydnqzv/lN9PX1yWssw7rhdLhkM1BqYOWCyWTynv3DFYnq+2E1sy3YaWvDyH/+47P/E0Rk+iXWdblp06Z5VBv7kiHAGTniU50J+FZpOk4rhVSaJSUlFBoaSlFRURQdHU0lJSWT+1JTU2nTpk1Ox6emplJUVJTTtj/84Q901113MbVDsmpOZAxMj+okhR3ERZkI25GgMhkKD1fWEdhD/W4Z1eWai3tQpSR4UaVIQsAajYOAJaDrMxd7Tx1U4xk4k4Fc40klrKDl4cjICFvYMxa8WAgODQ0pYxHsYxnBABd3EZWsNPV6vTh3EImm/L2vvaZK+4nIqf/rdaxXagxgBliDqb/99tt0//33C+5jlSGsyJ7hbdq0Cfv370dUVBQOHjyI4uLiyX0Gg0HwHL1e7/Q3x3HMasocKSPejz/mF10dVEiTTKiQ8MADwN/+NrnZowWgUkkmJ7hZiupHgsokvatLOUtJL7Ndp9mQzDRD3tS2Oxz/8JDhWRQCM1cOQLHw0TxiZ64uhjHbAZwG0At+thIH4F7XcxS0POzt7ZU/87LjxUKwu7vb47cvCh/LCG3AmVmy1PyNDBofrVYLs9nMXqbEfI+1GzZ4nOnIwqX/q3Hc56H/U4KamhrfB4Gf4XlSGbPKEFZkC7wnnngCTzzxBFJTUxETE4MnnngCH3744eR+1wYbDAa3KaoYgTdnjuAqkWckmAcDwE03CSrnziA3yeQEGRkZ4k+SoPoIkXieRzyot3YCsvPNTeJFbeu2GiXCTcAjLh3sOATWiOxI6WBdBioh4FXAlQAqAOyBgPpUQZcOm80mT6XJyMDAAPr7++UX5GMZYRTAGCBtYCUit9vg4KA4gSfRlL95dFSc6pQFgf5P8MkoMWh0gXVwdeTIEXz11Vce97PIEFZk2amXlpZizZo1iIqKAsC7I1x33XV4/PHHJ2d9rpJYr9e7LSyGhIRMJrHMysrCzJkzccsttyArKwtWqxW33nor8vPzMTIygo0bNyInJwd9fX247rrr0NXVhY6ODlxxxRUwmUxobGzEmjVrMHPmTJw6dQrLX3kF4TodigEsBrAefGc5B/y6ybGJm7AdwAmdDqYnn8T27Gz8/ve/xxVXXIHNmzejubkZ3d3d2LhxIwwGA1paWrBu3ToAfOLGVatWITQ0FBUVFVi2bBkuueQS5OfnIzQ0FFdffbXXa8rPz8dNN92Empoa9msaG0M4wHZNAEwArgWQaTDAoNEoe03x8cj64gtYc3Jwa1gYPqiuxuX33Ydb7r2XvyaNhu2ali9HeHg4iouLsXjxYqyfNw8nKio8XlMmgBsBlAMwTBzTXFmJ7r/+FRtvvVXaNfX3Y+ZDD+GWTz9FVnc3zBP3LQ38TOIWADUA+hYuxHX/+7/omjkTHXFx7NfU0uL2nMYBrAbwBYCHAVSBF7K3Asi319vSghox77xrvevX48SJEzAajVi3bh3i4uJwwQUXYPv27Thx4gRMJhO2b9+O8vJyGAwG2e9HeHg4CgsL0dHR4fE7vuWWW9je+a1bceqpp7D8yy8R3t6O4u7uyXf+5IIF6F65EvPfeQfHxsZwQWIi2zXV1cHw1lto6evDuok+qBbAKgChnZ2o6OzEsvvuwyUvvYT8VavQ1NSENWvWIDMz02vf5HRNTz2FrspKdPT344qJb7ARwBrwRlCnACwH+O944UIs3rcPGzZswOHDhzFv3jxs3rwZx44dk/+cXn0VoTodKgAsA3DJxDu8AMDV4H0mZ06821k6HaxPPolb8/LEPyeBd6+6uhpbtmzBiRMnMGfOHI/XFBYW5tHHlFWGMMOq+xRaw0tNTRVc19u3b9/k/0NDQ532RUdHT5qR2vn9739P99xzD1M7RJlqy4iByZRYVAEkRY2REP3gSFiY4tFOhGBN4usTH+sgbuHL7D8l3B8m1mmtERGUq8A6radrGgKfFqgfvIn98Yl/Vbkm4oO0M+frk4HHVDdykya7rBu2FRSI/34kZD05deqU9+SsnhBpyq/RaJR1ufLQ/+mUXpf2QHp6OtNx7777Lu3du9fjfhYZwgqzStM+A3Pkuuuuc3NL0Gq1uO222yb/fuCBB5wsalJTU52sOgFeh8txHFM7WK05AchyXt2xY4e48ySSl5cn/iQJKpOxyEh5lpKMbNu2TZmCfKhfT0o8j4mJddrpBQXo/u//lr5O67o+dNNNk+rfMfAj7ZUAwgAcB7AVQOHEvkkUtDwcGRnB6OioImV5Y+HChc6RY0SoD73isozQbDZ7NWcXRIJD+Pz586W5Qok05Q8PD1fW5cpD/+fVKUFBFfqmTZuYjvO1pMUiQ1jxqdIsLS1FWloa0tLSoNVqAQD79u1DVFQUQkNDER0djYMHD2LNmjUAeJNRx0grMTExOHjwIABeGB48eHBSBWpHjMATJYikdn69vcjLy8Ptt98u7XxPTETVQG8vb86+dy9GRkZ8nyeEyOgHW1lMdhWgqqpKGaHnw9zfIPE8UaxciWt+8Qtg1Spx53mKfhMZCYyOwgzeh+wanPG/s6/c3ArgCPi10AsB+S4dDpSXlyv/Tgswffr0Mx3Yxx97XkPv7OR/DzzAC0GR672LFy8Wt6bPEK7MjdpaVGZkYPH990sLzWc3cmtrA7766sy3/61vua37X3zxxeLL94aH/i9U4nliycjIYIoS5EvgscgQZiTNCxXmL3/5C+3atYvpWNYI3EQkK9K3olEuvLhE9N1yi3QVmQiVCXNEF5lqJ8VUmj7UtoLpblQIUi06o7qPZ2IFKC0khEwu24dc/k4EyBoerqi5+MmTJxUryxuTWR1USppsp6OjQ1wCYIn9QeFzz4lzS5CIYt+OHQ/XO8DQ/ykBU7ojInrzzTfpoYceUqROXwRE8OjZs2czq1psNhu7xZRE82Ds3YutW7eKO88TPlwiTp84Id0kWITKxKd1nkJqp+uvv178dQjhQ20rGNVRwdmQnfHxcehYVWA+LIIJwFEA24lwkcuI1lXNdFdEBJIefBB0yy2i2+wJn8G2GYMy+CIiIoJfepCgPhRDYWGhuFmXxJnLxTabX6I7LVy4UNkCPfR/XkNHK6hCZ9X0jIyMiLe+l4pfxKoPEhIS6Gtf+xrTsUajkS2TtB2JMTCPHz8ufwGZYYSrkTHCdcJHqhCvWeIVSCppp7CwUPo1uOLFwT0efDZvOTMEFkZHR9kTzXp51zihNoeGCsfSdDCM0Wg00tMCOTA4OEjHjh0T3ikyKIMv2traVE2abCcnJ0dUu6TO8DSPPSauHolMpiNTEoF3Mpmh/1OCxL/9jUlb9PTTT9Ozzz6rWL3eCAiBl5GRQatXr2Y6tqSkRJxlloigt46dZmpqqvy8ewzCthMOudZUihRBRFRcXCzccSqsdjp69CgNDw8r13APwrgTDlFQVMx4bTab2RL0+ujgNRAIdBwZSVRQQPTb31Lvs896zGmmhNArLCwUfp8VHOw4tlfNpMl2enp6mI8lIsm53Y795z/i6pGI2zKKXKtWIsH+z1V9rvigcWIApVm4kGkA9dhjj9FLL70kv14GAkLgFRcX0+LFi5mOLSgooI6ODnEVSPioe3t7aWxsTFw9jjCOcE8CZ9ZzVFiDspOTkyPcQSicBaKrq0v5jPQC4dzaARoIDxfvJiChE2Faz/XSwWu83c+JDj7bxzXIFXrd3d3uGgsV1tiGhoaooKBA1aTJdiSteUl43xV/nz2QlJTE/0fhGbdr/3dYgUENS10Gxr72gQceoLfeekt+3QwEhMCrqamhmTNnMh1rNBqlzbxExsCsra2V96IzjnBLAWoW6ACVpr+/3z22nQpqp46ODnVUM/b2TqhtR956i4588gn7uTI6Eb1e71MgeergvQo7hw6epfOeNAYRCcdxwjFbVUh5ZTab+e9T5Rme2Wxm9vNyQoLGR+k0TZ4YHBxUZcZNRE79n9M7Kde31BGXAVQ6w70lIrrrrrvoD3/4g/z6GQgIgdfR0UEAmNbmWlpaqLOzU3plPta67Hh0nmWFcYRrhIsjqAr5vIh49U93d7fzRhU6pba2NioqKlLlGlwpKChgO1BmJ8JxHDU1NXmfYQncS5/CzuFeMqlNiejw4cPiLBPJIQefIyqtsRUUFJBOp5OsPmTVcFitVumqcxHvg9FolJezkhGr1Uopb7+tqlUrERG1tpLx17/22f9JwmEAZQG/Zu31GiYGUFu3bqV//vOfyrXDCwqkwJbPvHnzAPDpJHyFjLHHA4xgzU3nit151QerV6+GyWSSVgfA7A9GAJzCpqqQzwvgfaOqqqqwdOnSMxtl+Cl6Yvny5Z5j6An4IUqNQQoAK1gsMsXGUr30UjfH8pCQEAwODsJqtXq2Cty7l88yP2GJKxgI2hUHi7iuri6m67n77ruRkpKCHWvWYGZios97OTg4iDVr1rhnu1cpo7hOp8MNN9zA/6FilvSenh60t7dLswp+9FHgsst4q9DaWndfyXXr+DipW7ZglsWinOWxF3p7e7Hg00/FW7Wmp4uqh1asQPH11+PrX/+6hFZ6QcDH0Uc04snA6MPDw5MyQHX8IlZ9YLPZCAC1Mow2RmprqfPll+Ut5DLQ39/v3bLRF4wj3DE4WE2puIbHcZy7T5lKaqempibnDUqvSUyQnJzse51VQbWdT7XjRF0aCXUxq80m7mXqokXOxgce7mVvb6/w2q1Ka2xOanOJBmMspKWlScvc7YoPjU9zczO7la4MRmpryRQertqM2E5PT49461YWXPqSEYDKGfuSSy+9lNLS0pRvkwABIfCIiObMmUOnTp3yfMDEhz4YHk5aBTtNT4yOjopzcheCsbMtY+hslcBNRauS2smp81ZrTYKIhoeHva/jKKy2Gxsb8/5OZGdTrKtlGmMHX19f7/uCXe5lJgRiijrcS47jKCMjQ7gsFQY7ZrOZ8vLyvLZZqeff19eniLuGL/Ly8ngVrcrUv/ACtSr8PIQwGo3KWlHbcRlAdQBUwNL+F1+k8PBw9uUJmQSMwFu5ciUdP35ceKfDR+NRN6yCaXpFRYW8AhhHuE0CHaAaCM5QVDBcKCsr4w1XVI60wXGc9ySTKq1R1tTUCLYlLi6OuL/+VVIHX1lZ6f1iBe4lB1AuQN0e7qXXGakKg51jx44JB6dWOGkyEfllXY2IF6we/XGVcBuY4Nh3vuPZqtGHwBBDS0uLeCt3Fly+tV74SJ5sf4ffe49mzJhBdXV1yrdJgIAReDfccAN99tln7jsEPvRKBTtNbzQ2NsovhGGEq1m4UDU/MkcEVRkqqJ2GhoZofHxcFWHqitcZngpqO5PJRFqt1slwxGazUUJCwpkZh4QO3qdK08O95MBb+rrODuK/9jXfFp0KPx+fA0RGgzFfmM1mOnz4sHO5CgkeV3JyctwFngoq+o6XX5b2roqc4XkclMjFZQDVNiH0fA2geisqCIA6s04BAkbg3XvvvfRboYcn8FHWK9xpekIxc2QfHWDuH/+oTD0+6OnpEVYDKax26u/vp+wvvlA90gYRv17oMd6lSmuUtbW11NnZSRzHkcVioZSUFGHhIqKD9zrD86GatQJUDVDDxN/HARoKD/d9LxUe7CgyQGSgp6eHdxlSaW3YEbc+QCUVbUF8vKpWrXZUfUYOfXUaPKS6cumrT548SfPmzVOvTS4EjMB78skn6eDBg84bPXzoXo0CFDT8mFyPUGoE6aEDdHMX8Ha+jHaUl5e7G5TYUVjtFPfYY34ZsRJ5CYqsomm8fW0nPT1dtJuAEF7X8BgEtxWgRoA+A59fj/leKtSBnzx5khoaGkRds1Ta29up7/33VVsbtmMymZwN6VRU0cfGxvpFI6JqAHGHAVQV4/05cuQIrVu3Tr02uRAwAu+VV16h73//+84bPXzoPhdDFXLe1mk0qo8giRjCmCk0kh0fHxd2QHZEIbVT3zPPuIfSYvlJ8ENsaGjwbMCgUicyMjJCv//97ydnenLxqk1gVM2eAK/erBR7LxUY7CQkJDBeqXw0r7+uvr8a8c/YSYirKJDq6upUtWq1w6S1kjOwnhhA1TIORP72t7/Rjh07RF+HVAJG4P35z392TxHk4UPvUKHTdOOjjygrLOzMaNnHg5NDS0uLZ9NnhVUoAwMDstvLQu7TT9O4FIEnYbDS2tpKxcXFwjtV6ESMRiOVlpbS4OAgFRYWUnt7u7iA5gJ4ddZnmOGdAKgHvFFXm13oib2XEgc7fX19NDIyIq4uidhsNirYtEk1weNIbm4udXV18X+oHAx7UqWtolUzkY8ZnlIq4uxs0lx5JdMA6o033vBbaiCiABJ4iYmJdMUVVzhv9PChZ8BHTie5M7wJ1YUWvJpIjZGWI+Pj48IdhgoqlKNHj8pqKyvDNTV0NCxMtQ7Clbi4OM8zLQU7kYGBATp16pTTwEGr1VJNTY0slZ7XSCs+VLPxE8LO/rcVoPZly6gyNVVye8Rw+vRpv8WbtDY1UdfSpX55r5wGISqGSuvo6HA2y1fBqtWOx3dUYUFbWFjINIB66qmn6Kc//ank6xFLwAi80tJSCgsLc97o4UNvAKhFhU5zkgnVxRjglqhT8CfTUIbjOOFkiSqoUBRz2GWg8rrrFG+/J8bHx70HLlCgE9Hr9VRXV0d9fX1u+8xmM9XW1npOweMDVqd2x984+EDAVoF7ad2xg9ra2rz7tiqA1Wql+Ph4VetwJPNHP3L3PVRI8Lji9D6pGAy7srKSRkdHhRqgyPKCnaGhIUoVGgSpMLBmDdqxb98+evvtt8VeimQCIgEswCeN1Ov1GB8fP7PRQxLQSABL3bZOIDcJqEOInFEAhSznTITIkUpISAgsFovHdjDD0I6bb76ZPYGuTGb+9KcAawi4iAg+nJNEpk+fDqPRCCISPmDLFj4MU36+c5LT/Hx+u0s4MVf0ej0GBgYQGhqKRYsWue2fMWMG1q5di+uuuw5xcXGw2Wye2yLA4sWLvR/w6quT97INQCOAOgB3A5juemxEBKa/+ioiIiIwZ84c1NXVMbdDLKmpqbjnnntUK9+VwZ4eSEqTKjKMHhGhtLT0zAapIf8Yzlu0aBEuvPBC9x32MIivvcb/KyMMHwAMDQ3hsssuc9+hcKLesbExVFVVMRankx4mUgp+E60+sFqtNGPGDPcpt8AajBEeInEr4YfnorrwGQBVxgjSkYGBATKZTB7bodRIVq/Xs0X1UACtVkvlL7+sujWdnaKiInnh4DzQ399PTU1NzNa0HMdRbW0tnT592j3yiAe8OtATv3ZliokhzcKFVAGQmfFeWq1Wqq+vlxcI3QP9/f3U39+veLmeGBoaoqFf/1qV78IVrVbr3BepaPHrr2wMw8PD7j54KqxNarVaz9bgLqxatYoyMzNlXJU4AmaGN336dERFRaGhocF5x5YtwOuvO80U5gMYdi0gIgJ44w2fI3WfuIwEmUuTGoh5Ap1Oh5GREfnl+Thv4cKFzKMvuaxevRpdmzcDn38O7NzJB+Z1JDKS3/7558Ajj8iu77rrrkNxcbHschwZGBiA0WjE7NmznQNveyEkJARr167F+vXrccmMGUj4wQ/Q9+yzOHngAHrLywXPOXHihNPfRASLxYLm5mYkJCSgpaUFTdu2YU9cHK7auRMzGO/l9OnTsXr1aoyOjqKjo0PMpftkaGgINpvN94EKodfrMbBjh/t75AuHIN2shIeHY/ny5Wc2eNA2eYVB22Q2m30GzFeK9PR0zJkzx3mjnCDiHoiIiMCyZct8FmMymdDa2io861SJgMiWYGft2rWoq6vDN77xDecdAtHNt9v3uUQ3l42LCqIcwA4AISLPE8vy5ctRXFx8Joq5iiqUNWvWgOM4TJum/nhn8+bNsM6ZgwvS03k17VdfnYnw/61vyVbTuLJ7926UlZXhmmuukV2WwWBAX18fQkNDsUTs88jJQchLLyG8rg67OzthAXARgIqPPoJhzRpYfvxj1M+fj6ioKISFhaG2thaFhYWIiopCTk4OZs6ciW3btmFsbAx33XUXpk+fUFyuX8+rYEXcy+nTp+Pyyy9HWVkZLrzwQvHXIoDFYkFVVRXuvvtuaQVIyJxRWlqK++67T9UsDHYyMzNx++23O2989VXggQfYBASjij4kJATXXXedqLZJZcaMGWfeIzsqDKyzsrKwbds2n0U0NjZi9uzZ56dKk4jopz/9Kf34xz/2ftDEQm7qd76jfD4ne/kOqosqgOoUUl34ora21mM7lFShtLS0yDajZ6W8vJzdsV4hmpqahI0ARGA0GunUqVOCBio+YbR44z76iMxmM1mtVurs7CSLxeI5bqMCcBxHOTk54iwqPfhkSVbDSTR97+3tPaOWVdlfzWazUVxcnPBOha0ZKysrmdV/crDZbMIhxVRYOmH1yfzqq6/ommuukXhF0ggogRcTE0O3334707Hp6enqmUI7WMTZ4B6n0O2nUDgzN4s6lRxdPVprqYS/1ijstLe3U1VVleTzh4eHqbS0VJrPokSLN3/eo/T0dN+xC70IpvxNm8jsKQuDN2QIi6GhIef1QhX91bq6urynnVLQbcBfz91gMNCJEyfcd6gwsGaN1fnrX/+aHnzwQamXJImAEngZGRl0ySWXMB07MjKiThBUIqcRJAeH9D0KjSA94ZbNWsWRbNLf/65awF1XOjo65GWpF8JHNIicnBzhPHA+MJlMlJubK911Q+IgxSkYsh84evSos5GUI16EyQAmAj+IFSYyTd8FXR9U8lerra31HvnIjgJuA1LeUbc2MHzHJ06c8KxpUXhgzTqY/u///m966aWXmI5VioASeB0dHRQSEsKkjtLpdOqqAhw++liFR5Ce6Orqcr8mpUeyEyP34fBwGnXtJFTIK0jEW6AqFuFFhEosPj7ed8YABywWC6Wnp0tXh8qweGPqYBUmKSnJXbXtRTBxANXAIQq+mEGWjE61qqrKe/oYhf3V/Dnbzpb6vYlUDXvN6afgwLq3t5f5mm655Rb65z//yXSsUgSUwOM4jubMmeM7Nxj5yeF1YgRZs3QpjSg4gvTE8PCwsJpWqZGsg/BsgYe1SRXyChKR5zURMYgU/hzHMedNs9lslJKSIi8QtIz1ENnJhiWSkJDgvG7oRTDpAMoXOdonItmm7zU1NX5J9so3tdV7AAMFaWtr8x5SzhMSBsE+3WMUGlgPDAwwDxiXLFnit8SvdgJK4BERXX311fTll18yHeuvpIGdRUVkevttxUaQ3vA6upQzkhUYuWskjuKk0N/fLy9pp0SVWH9/v2DCVkc4jqOEhARRs0FBZETj8Pc6pyOTYdm8CKZRgFJ8CCaPyBgIcBxHp0+f9st9IJrw9fPTbLuurk78OyfhO+A4ju39UmBg7SkSkSt6vZ4A8Imi/UhAuSUAvGtCLWOEEbfoJCpxwapVKLnpJtx8882q1zVr1ixYLBbMmDHDfac98oIUBKIpbALvzzjX9Vh7NIX0dGl1CZicL1yxAkuWLAERISTEp5MHU/s94tD+sLAwdHd3Y2BgAAsXCsfoSEhIwO7du6W1yxEZriTbt2+XV7cM9uzZg7i4ONzb1CR4j60AjgEQjKdi98ny9l7KMH1PS0vzy3dnJz09HXv27PFLXTabTbxrkITvQH/oENs9tEcjkuE+dOrUKd51xAd1dXVYsmSJx29SLQJO4G3cuBHlHpxzXdHpdFixYgXmz5/v+2AJfj92lixZglOnTjEdK7fu7du3Y2xsTFjgyalfYBAxDQB5OscepkyM/1JODvDSS0BdnbOf1G9+g5C1a3HB/v2wXnqp+GuTE2ZtxQpcfvnlyMzMxJYtW3DBBc6vfFxcHPbs2XNG2Ml4T7B3L/Cb34jzEZtwii4vL8eOHTvYz1OYe++9F3H33489cPY5JfDCzqu3nS+BJnEgMDx/PqZNm+buLK0ULs964NZb1XECF3inaMUK1NbWYv369eLKkfIddHYC4eHs58gYWLNeT3l5OTZu3CipDln4dT7JQEpKCq1Zs4bpWHswX68olPJCUgglCXUPDw/zkcaVxINKifOm1pxQKTHDuAYQ95OfKNZ+FpWYHY7j6PDhw05rQU5qHqVSo0g0zvAZPNoRpRISu/LeexQH3hXH/n7kgg+iznqfPbZXgun7qWPH1PFL9PCsdcuWkW37duXU+V7eqbJrr6V+oYDx3pD4HcT94Aeq+nc64jHNmQuPP/64e8JvPxBwAq+3t5cAMFn1jY2NeRdEClo4xsfHi1s4l1G34us5XtaWToCPTSq4nzWvoIh1Bd3SpZT3pz8p1n6vP5f2OzoUO91jJS1hJVq8ebWicyxbzYTEE4IpAXysznKAuhgEE1PQBZEDAeuOHc6BGJTCy7POBy/kFTHc8vFODQBkCQ8XV4/E7yDvkUfkXQsjWq2WysvLmY7dtGkTffbZZyq3yJ2AE3hERBdffDFzmhWPI2OFU15UV1ezf4Ay6+7r62PrAFnxMjIchZfcgqwzPJGdWcl113n2ARPZfq8/gfZzHEfPP//8mQ0qpEYJZCs6n+zYQRxAHwJUzXJPWIMuiBwIpL73nuxoOW54edYGuASkl2O4xfBOJUqpR+J3oHvlFWnXIZLi4mIaHx/3eZzJZBJOFOAHAlLgffOb36S33nqL6dgjR44I71DYmdJms7FbFMmsW6/Xy3dIdcSHSilDaDvryF2CyXnPsmU0yKj6YGm/4M9D++0zu8kZnkrRbMRavHmd1ashlD1gy8qixiVLqBqgI4CzO47cuhiFtu63v2XOMiEKL89a8BuQGkHJxztVj4mM9GLrkfAd9IeHU+bnn0u7DpF0dXUxacGKi4spNDTUb64mjgSkwHvttdfo29/+NtOxQ0ND7s6zKqS84DiOLY2FQnWLWtNhwctHWABQu9SPXeKo8+iTTyrWflbB5CpUNH/5i+LviRuMriRegyioJZRdGB0dpfr6eqp69dXJ+5IOfvYjKOykzCYZBgI5OTmS2u8VL9+lBQ7O9HKetY967L8mOfWIfBeObNwoTpsiA9almA8//JC+/vWvq9waYQJS4CUnJ9Nll13GdGxVVRU1Nzc7b1QplxyTr5ZCdZeVlSkbdNmHSinXtTNjHblLXFcY+tnPxMXzlBENwqMf0nvvUSwm1m0UfE+kUFZWJrxDhcGbEJ2dndTQ0HBG8DoIphxHgaBU0AUPAwGj0aisdsOOl+9SB369UpFnzfD9l8mpR+R30MsYyFkug4ODzBFWnnjiCfrZz36mcouECZh8eI5ce+21qK+vh9Fo9Hnshg0b3N0YVMolt3PnTrS1tckqg/W8devWYe5cNw856QjkFXRkNQALID6voEST87nLlyMiIgJNTU1sJ/ho/yQu7SciHD58WNi3qrcX9wFIBjAmpvEycx8K0dLSIrxDhXxlrlRUVMBisWDJkiW45JJL+I0OGeJvfu89ND/6KDpefpk5Q7xPPGTzLikpEcwoLxsvz6wAwEYJ50k5fhCAXk49Ir+DKiX7EC9Mnz6dOc1RSUkJrr32WpVbJExACrwlS5Zg5cqVKCsr83lsSEgIrr/+etcCpFbsdff06dN9O4oqVPfMmTORk5MjrSxPPPqox2SspqVLUX/DDeKTse7dKzkh57p16zA6Ogqr1cp2npf2CyVAtdlsSElJwd133y3sVD5xz+8CUAGgE3yH5BMF8sm5sm7dOuEdKg3e7Bw5cgQXX3wxli9fLuzPunIlQp55Bpv+8hcY9u1DE+uzksDx48exceNGdfI0enhmjfCR5Fnss/Zx/GkAgpnixNTD+B2UbdyI1atXs5crA/ugyRdmsxknT56cMoEXkCpNIqIHHniAXnvtNaZj3eKxqZhLzqeeWsG6ExIS1MtbJ6BSkuwOIWONqaWlRVqaJx9rY+Pj45Samur9/rk8qx6ATgNUqrC6kAWP/ksqqeeJ+HdZzPqO1Wql+vp6VdwFmpubPat1lcDDd9kDOAdRl/usfXz/gm4ect4pL9+BW7oxFWG1OcjNzaXFixdPicEKEQXmGh4R0R/+8Ae69dZbmY6tra11z3+m0kJ/fX09NTY2ej9IobrHx8f9khzSjslkkvaRyIy2fvToUYWugGd0dJSOHz/O1pm7PCsOfP7DRJnviVg8DjYUHrzZbDYaHh5mTtLpitVqpebmZkU7U5PJpI6hiisCzzpBgT7BVz2O9cX78Z3yFUNWFF6CHYyOjlJXVxdTMa+//jrt27dPuXaJJGAF3unTp2nWrFnMI1A3h0eVcsmNjY2xJc9UoG6LxaLsS+sDm81GjY2N0qIyyPQTU8rZfmhoiIqKinw/IzsentU4QEngzfItEt4TsXid3Sg0gCorK6PGxkbZwZitViu1tbUxZTVhoaWlRb3clo64POt4gKwK9Am+6rH/BN08VHqndDod5efnyy+IIdiBwWDwPQmY4LbbbqMPPvhAfrskErACj+M4Wrp0KbPlj1ardd+okrNucnKy74MUqtstKazK5OfnS7eSkxFt3WQyUVJSksRW8xgMBjp58qR4FamXZ9UB3qquePFiVdIm2fE6k5c5gOI4jmJjY6mjo0N+RogJrFYrtbe3yxZ6VquVSkpKFGkTExPPugN8iiyl+gRP9TjO7urVqMcDaWlp8tWGjH3Y4WeeYeqjxsfHafbs2e7aOD8SsAKPiF/He/XVV5mO9ZjsU4WsyKmpqWwpRBSo22aznREEasVQdEG2D6DENEa9vb1UWloqqUq9Xk81NTXSYp4SeX1W3I4d1PrFF6TRaGh8fFyVuIQ+Z7gSBlD19fXU3d1N6enpqqyZ2Gd6cjowUTktlXr/s7Op95ZbyBgerlif4Kke+ztlgUPkGpXyaTrCkqLHKyKCHRQuWsR0LSdOnJjS9TuiABd4Ytbxuru7qaKiwvMBCmZFNpvN4pJEyqxbp9GQdft29WIoumC1Wun48eOKlsmCzWajlpYW0Qk4+/v7qaGhgXp7e+U3wsuz4jiOGhoaqKamhtLS0uTX5QBTZBGGAZTZbCa9Xk8ajYba2tqUD8/lgtVqpZaWFuagwY5oNBq2zk/hGKIcx/HrxgpnSvdIayvF/eAHZH3+edXzaRLxz8RjBCpWRKjR272o0R2Z6vU7ogAXeGLW8cxms3/WAYh/oZRav/DJRx9R+eLFNKSwWtYXOp1O9c5SiKGhIWpqamJeg+vv7yetVquskz4DQ0NDFB8fT93d3XTq1CnZsz5RsVMFOmqdTkdJSUnU09NDJ0+eFFeWzFmT1WqlxsZGUbERmS2QVViWYBa0CjE4OOjXAWRWVpa8GZ6IYAcNAJ20Dz58WJpO9fodUYALPLHreExrawrhl4/GQa2gkbB2I4e6ujpqb29XrDwxNDU1UXNzs/D9deig+197jbQ5OX4Xdo6Mj4+TwWCguLg4Ki4upra2Nja1qougif3zn0XXXVFRQeXl5aTVaikvL0/c+6jwrMlqtVJ1dTXT7Pzo0aNsgykVYohWVlb6/b3u6elhCqqsFPX19fIKEOEKc9jxby+uMIGwfkcU4AKPiF/He4Ux2ndRUZFodZhUhoaGlLGC8oaDWqEevLm81xdQYfNmf4+EHSkpKXE2dXbpoPUTo8vuZctUUetKgeM4stlslJWVRUlJSWQwGCg1NZXq6+vJZrPxs0APgiZj0SKP1zE0NEQmk4lKS0tJo9FQV1cXnThxgtkyzg2VjLmsViuVlZV5NVEvKiryWxB2VziOo5aWFr8agRGRf1wuHJCtfWIMF2gDqM9xm5d0Yjk5OVO+fkd0Fgi8Dz/8kG655Rbm4yV3Aiw4jMq5d9+lHrUdZR06pWF4SePjODpX0CnanjR1qkhPT+ctLl06aAN4AwCngL8qWrzJwWKxUGVlJXV3d1P+iy+SZuFC0gJUMTFrrwKoDqBPASoBqHXpUtI89RRlZ2dTb28vaTQaysnJodHRUers7JTfIJUzL3AcR3kaDelff91NTdrS0kJtbW1snZ4KMUTNZrN/LUKJqKGhQZyKWSbZ2dnUW14uT03NOMMbAqiIcYb30ksvMScEUJOAF3idnZ00ffp0ZlN5r4YrUvEwKk8JCyNOyQzJjgi8dEdZPnqFAxv39/crYwwikaPvvEPDy5Y5fWQVAPUr1EH7DS+ChgPoK39dh5qZFya+Ey4igjInnpVdEOluuom0n33G7h+pQoQZxRMrM6C0cZNXsrPpyFVXyVdTMwY7OAw+UTDLYGPjxo30r3/9S6ELlU7ACzwiouuvv54+Zhy9Jycn09jYmHKVe1H/GAFKU2t2IaBW6AUo29cHz5ql3I4Po4W+vj6/RntxY8cOOjZxr8fApzLymKFdbAftT3wImhR/XIeamRcEvpPUiWfWD34Wa1i2jP07USjLvR1mVyLHeyXTmGdoaMhvhnT00Uc0vGwZDXu7N2L6KYaBURXj+9rc3EwXXHABuypbRc4Kgffqq6/St771LaZjR0dHqaioSJmKGdQ/pxxfJiVH5R5GuPngdedSRrhOiDBayM7OpoGBAeWujRWHDjptYkTpNSGpmA7anzAIGjcrXDWuQ624nF6+ky/AO+4PiP1OFGxrc3Mz+9q+gsY8JSUl3jt5pfwKJ+5/GTzk9XMVeizX4CPYAQd+EMNS5gcffEA7A2QgelYIvIqKCpozZw7TzI3jOOXyaTGMcmrhkE9NyYfqQa3Q7a3TlzEa9zUaFGXAotSHPNHpWcGrc7PgIfiuVKHvj2twuA5vv8NqXYcjCs+aJvHwnQyCX5f8DC4hvFi+E4ViiNpsNmptbWWb3SlozGM2mz2vfytsIWu//z4tucX2U17uRz5AnYz34/bbb6f33ntP3DWpxFkh8DiOo4svvpg59JSo6A2eYFT/DMFhbU3pUblAR8JBQP0l5kWWYbTgM+Cw0h/yCy8QBz6Qs2Xi2ssB0srtoP15DRPX4eteC3ZWcq5DCDVmeB6+kxGATuBMJoJ4OAwMWb8TBdYbh4eH2aL3KGzM4zG5sdIWshP3vwbwrs50fZdZ+ykPwQ6OhIUxRYsxGo00Y8YMUT6aanJWCDwioh//+Mf05JNPMh3b2dkp32VAROeQBIcAw0qOyj2oFVrBj5zFfoREJKsTGR8fdw/SbUcFU3fu3XcpHs4qXA6gRkw4u0rpoL2hkrk+y7skGFhA6RmeGmmzBK7NCFA6HAwaJn4aOAg9lmtTIIYos6GKgsY8/f39wksAaljITtz/NoH77fUn9t1yCHYw+tZbZGTMlnHo0CHasGGDuLpUBFPdAFaOHj1Ky5cvZ1KrcRwn39BChPrHDJDO/rfSo3IPnXAG+Ij+ojphBYwWtFqtu3pIJVN3zV/+QpwXg6FjUjpoT6hprs8gaFKVug5fKG2l6fKd6MALO85DebH2fazfiYxBCHNMWIWNeSorK4UDmKthIfvCC2SFh7RD3n4y+qmGhgbm/vV73/se/fznP5dcl9KcNQJvfHyc5s2bx+xHIzuZpIgZHgfeepAA5UflRIJqhRGAupYtExeEVgGVVn9/v/szUOFDnhyZeynbBlCclE5CCDXN9RnKd1NpqrXIr3TarIl3igMfCCCPodw4gDgxazoSgrD7TP4rcA1yvgs7g4ODwq4IalnIvvceJcBBwySj7aywDiQsFguFhYXRiRMnJNelNJjqBojh29/+NvNooaOjwz0TuhhEqn+yAOoLD1fXQtAlhmKu2KwGChktlJSUUEtLy5k2KfwhO6mhGDroWDEdtBBqmuszXoebE72a/oRKqm5bW8kUEUGn4UPN7HLv4j/6SHyqIsZgzx0dHeIM1xQ05vFoP6CShex4QwM1L12q7rvrQGdnJ3Mov6NHj1J4eLhiKamU4KwSeAkJCbRy5UrmQL2ynT5FjvqPbtworz6RDAwMUGZmJvsJCn50iYmJfHxAhT9kwTUXhg46duFC4j76iP1eqHRfvOLlOib9K/0VMUahtFk9PT1Uff311Czmvk3MXhMTExUP82U2m6m+vl6cz51Cz1+r1Xq2JFfJQnZkZIQab7xRXJkytAce1ycF+P73v0/PPvus5LrU4KwSeGazmRYtWkRZWVlMxxuNRnlO6CLVP/qkJBoZGZFenwQyMzPZE54qaLTAcRwlJyeT7fnnFfuQvRoYMHTQCQkJZDQa2VVZdtQy1xdxHbELF6qeI00QGSly7MGyB5KSJKtJU1JSFM3K0dLSIj6juwLfBcdxVF1d7Xk2o9KgKjY2Vnk1ta/6GBgZGaG5c+f6PZSbL84qgUdE9MMf/pAef/xxpmM7Ojrkx7ETof5pampSN5anADabTdwHruBalclkotynn/ZooCDmQ2a2pvPRQdfU1JBWq6Xa2lr2e+KvGZ6X62iTo36fAuLi4mhsbOyMEZkMNWlaWhoNDg7KblN3d7f09SKZ34VOp/O+hKKChWxlZeWZ/kYtC2MHTp8+zZyJ4d///jetX79+yoNFu3LWCbzc3FwKDQ1lypFHpFD8PBHqn9jYWL8/5OrqavZ8bAqPBrtKSqhJ5hqC0jEOTSYTtba2sifBVMNcXySKRQdSGZPJ5Pl5yVCTZmVlSc9WT16MRViR+V0wzXwUNozSarXOM0qF1NSe6OrqYl6Pu+eee+i1116TVZ8anHUCj+M4ioqKoq+++orpeKPRSM3NzcpUzqD+sVqtlJ6ezlaWQpE8TCYTpaSksJ+g8Gjw/7d35uFRlVn+/yoChrCEsISgOBoUbBtQEG0EFxTtsRdFuxF1dGbUtsF+WrTbmQFp/bW9uGEvOKPjiN2Ddk9jKyipJAQMISSEhCSQnexJVfZUtkoqSWWp7X5/f1QSs9Ryb9W9VZXkfp6nHkjVXd66de/7fc95z3tO3s03uy9Q6+JBFgSBMTExig0Q+vr6xIemKx2l6QFJoi9nFhiRdHZ2Uq/Xi7+3JbpJBUFgZmamtEK4gwwMDIhOSuEWL5+L8+fPixMCGQebgiC4jkRXqJL7uXPnRG3X2trK6dOnU6fTyXJeOZlwgkc6Sk2Iza3Z29vLxsZGhVs0Gr1e73oyXolMHnRYCPVSowblGg2ePcvE8HD3OT7HPMh2u53Hjh3zuVK4GJKSkmgwGNy7zfw4D+IMUa4ihe4dT5w5c4a1tbVeiZEUBEFgfn7+1xHAIrDb7fIWfpb4XPT29kp77mQabMbGxvo1+jEvL0/02rv3339fUkk3fzIhBa+srIwzZ84UHS3k70KmRUVFzkvqKOxnT0lJkR71Jtdo8OBBxsyfL+q7Wa1WJiQk+PWBNRgMzM/PZ3JystvvoPQ8iCs8Fu30c9sEQWB/fz+jo6PZ3d3tt+fHZrOxrKxM1ABAEASmffklzb/7nfzWrsjnoqysTJrgkT4PNhsbG5mdnS3tnD7i9rkZw2233cYPPvhAucb4wIQUPJJcv349P/roI1Hb9vX1iZ/PkYlxLiqFC2+SjnIkgXQjCKmp1Kxa5fZBHhgYYHJysmNJQwDo7OxkbGwsBwYGnFuXCs+DuMKtS9MP985IioqK2NDQINqFJTc2m406nY6lpaWuNzp7lpW33srWEbUS/WHtjsRgMDA1NdX7A3g52NRqtX4dLPb19Yk2Lqqqqjh9+nS2t7cr2ygvmbCC99577/Fb3/qW6O1ramr8auV1d3czIyPj6zf8NEeUn58v+9omKdhsNsb+7/86fZBNJhMzMzNlDUP3Fq1Wy5KSEtcjZYXmQVzh1sLz071jt9up0WjY1tYW0HuIdNxHdXV1LCoqGv/hwYNsi4jgxQBY4kPY7XbGxMQodnxXDLl9/UlGRobopU979+7lww8/rHCLvGfCCp7RaOSsWbNEpxArKioSHdkpB4IgsK6uzrEmzB+ZPEac12NVA4Vx1hl0dXUxPz9flvBzl0gM5hAEgQ0NDYyOjmZvb69f74+xuHTh+eHeKS0tpV6vlyfwQ0ZsNhsbGhpGDwZSU9kTEeG5ELJM1q4rkpKSFDmuJxISEvy61tdqtYruT8xmMyMiIvzuTZPChBU8kvzRj37E5557TtS2bjOnKxT1VlRU5BgZ+XmdV29vb8BvOrvdPvygdHZ2sqSkRLmKxzIEc1RXV7O6uppxcXEBSYXk8t5U6N4ZGBhgTU0NNRoNjUZjwFzMnhgregN33jk+0bYC1q476uvrxSd7kBFZqsBIJDs7W3Rg2eHDhxkVFeWXQDRvmdCCd+HCBc6ePVu01VBQUDB6gtkPUW/R0dH+zeQxSFVVFYtFlvBQCpvNxs8//5yVlZXOg3jkQOZgDqvVymPHjrG+vp5FRUV+c4O7XIcn872j1+uZlJTEjo4OlpWVKfiN5GPIvXnx5Eke9xQYJZOnxF1bcnJyArKgOjc316/nHSqeK5YtW7Zw3759CrbIdya04JHkzTffzP/5n/8Rta3ZbGZzc7PjDz9FvdlsNh579lm/Wnik42YtKioK6HyZwWBgaWkpP//8c2VOoGAwh81mY29vLzUaDc+dO8e2tjZFR/UuI/1ksPAKCwup0+mYn58/el55iACs65OKxWLhnx99lBV+fo7GcvbsWeU8FW4Yssj9SVtbm+jApaHIebGJpQPFhBe8gwcP8pvf/KbokU96errfo9702dlsGxtNpsTIdEzH1XThQsCipQwGA6urq9nS0sLe3l7XFaB9wY/BHFarlSkpKdRoNOzp6Rm9tlMGwXC5QN6LLDCWyEhmxsbSYDAwPj7edbVpf6zrk+Ha2Gw2x7qzl19mBcBqmaxdqQwNGgLBiRMn/O4qFJ20geSuXbv45JNPKtcYmZjwgtfX18cFCxaIywBBR7BL8o03+qWjHKKtrY2tGzcqd043HdfpG2+k4EvotBd0dHRQq9WOGu11d3dLWsvjET8GAo2lq6uLdXV1jH7jDRasX0/d4sUswYjK7F4Ixll327oRdjPAbjiqLRQBrAB4bPVq9vT0uO8glfZwyCSmFouF8fHxjj/276cNjjJETVJ+d19znu7fz/7du5n43HMBsX6LiopYUVEhfgcZBhkVFRWip4q6u7s5Z84cv88vesOEFzyS3LNnj+jMK6yr4+nwcPb5uaM8tm8f7UuWiDufFKtSZOkcv5ScoWNAUV5e7rQeWWdnp+hKFx4JRMLnkYy47gLAMoCpANvhKOaaBnBgyRJW7dvH9vZ2CoLg1gvhbo5zICmJ9iVLWA8wD2APwJOD52kFWIIR9fTE3DtKezhkEtNxwVeD1q4d4PnBa63YsztGsPMBWrwczPiC1WoVP1CU0WKvr68XHcj0/vvv85ZbbhF97EAyKQSvpqaGM2bMEJf6Zv9+DgBsDkBHGf388/KOqkV2XAJAzfz5ij+k3d3dvHjxols3qsFgYFJSkvQSPmMJQCDQMCKuezsc1pd20SKmvv8+W1tbmZaWRo1Gw5qaGubm5jI6OpplZWUsKSnhyy+/zPz8fOp0OkZHRzMjI4N6vZ4ajYZpaWns+eAD5ixcyHqANsB5Gjex946SrmAZxNRms1Gv1zufPxpsuwCHVdslZ9uHGCPYrQB1vjynrhBhibW2toqztGS02M1ms+gob7vdzpUrV/KTTz4RtX2gmRSCR5Lbt2/n888/73nDwY7yXAA6yvb2dl78y1/ky+QhoeOyAjy+Zo3P38EVfX19zM7OFpWRobe3l+lHj9Lw+uveu10CaeEpIBii5jjlyAKjtCvYx2vT29vLwsJC1wEaY3KeJgHslSiobhkj2GY4rHXZjj/0HURaYmlpaZLb7M0gYyRS5u6OHj3KpUuXBnQNqxQmjeDl5uYyJCTk6yhMVwx2lDo43BT+7CgtFgvr6uocri1fM3l40XF1L1nCzNhY6efxMAo1m80OK0RMlenBh90SGckyONxxrh52j+0KREkfhQRDUoVuX+4dJQcKPl4bg8HA9PR0z9dijDWTMChM4zp2byywEYItAIyXKNgekWCJiS6ZJOMArL6+3nMfOoggCFy/fj3/8Ic/iP32AWfSCB5Jfuc73+HevXvdbzSiozw+eFP7paMcJDs7W1rn5govOi4BYNOvfy3O9StyFGqz2ZiUlCSusvyYh10A2AEw2duOKhAlfRQSDLlrArpESVewD9emvr6eqamp0uo6jrB24+Fw9fqU83SMYGvE9A9S+gYJlph+8WJmfvih5DaLerlpc3t7O7u6ukR9ncTERIaHh8vTn/mJSSV4qampnDt3ruf1UoMd5QDARn91lCOQpXqDlx1X/549rKysdH9TixyF2v/3f3nixAlxeRfdPOw2gHFjRU9MhxWIkj4KCcaxY8d8b5sYlLTwvLw2pTt3el8Ad4S1G/vss7T7slZtxLWJgYt5Um+vDSl6gGaFY8pF2LxZUpt9/T0FQZB0H95zzz381a9+JXr7YGBSCR5Jbtq0iW+99Zb7jQY7SgGOaC+/dJRjkOInd4oPN3pzczNLSkqcp9CSEAgTN38+7WKjLkU87KNG1GIHGf4u6aOQYPhtlKykK1jitbHCEXVa6skrIwGfCgoPCvZxOHGRunuJsX4lWGLNGIy6FXPdZRyASRmIZ2VlMTQ01Kcq9YFg0gnesWPHuHjxYs8ZRgY7ykrAddZ1BTOuW61W0WsHneJjx1VeXs7y8vLxxxU5Ch0WJzHCJOFhj4YjCEGIjBTvKvJnSR+FBENSxXpfUcoVLOHaNMExh14fESFr6i/SB/fw/v1Mh2Ndo6TrI8bCEzkYEACmSzm2TAOwqqoqNjQ0iL5UDz30EF966SXR2wcLk07wBEHgmjVr+N///d+eNx7sKI+Fhzv8/0p2lE5oaWnxrYq0jx1Xdnb26Fx5IoUpGiMsMTGjUIkP5VmADQBbX39d2vXwV0kfBQTDb3N4pLKuYBHXJhlfL9tQIrkz6d20QcWZM9RHRIib15dy/5OiLbEYjJk39GQ9yjQAa25uFp2GsLi4mDNnzpQkkMHCpBM8kvz000959dVXi67pJdTW8uKePX6rfTZEV1cXKysrvU8ZJEPHlZqa+rVbQoQwaUSMFsfhhdulHWDdrl2+FdhUCgUEQ2yBTdlQyhXs5tqYMcZtrWD5HtLh3hT7bHV0dLC6uprmO++UfTBDUtSzlQhHUgFJzxbp8wDMZrMxJSVF3Pcg+S//8i989tlnRW8fTExKwbNarbzuuuv4pz/9SfQ+FRUVvi+GHkJCap/s7GzfrDwZOq7ExERHjS0PwuRU7MSMQn1wu3R1dfnX+hGLzIIha9o1sSjlCh5zbSxwuDDjvbw2vnDs2DGPz7XZbGZFRYUjFZ5S1q8HS6wCYNXY98Vajz62WUo8wVCSaJf1G4OcSSl4JPnZZ5/xiiuuEG2mt7S0MCsry7eTepnaR8xD6fG8PnRcdrudKSkpNL39tnSxEzMK9dHtIggCY2JiAl6FexwyCsZwpxOIygVKuIIHr03V4sXUwZHnUxYx9YITJ064XBhttVpZUVExOsG2UtavC0vMArB88F93lphbvGzz+fPnnaYBdMW2bdu4Y8cO8e0KMiat4Nntdq5bt05SfaaTJ096X03Yx4ckVuqCcGf40HGZzWZmaDTsdpLv063YiR2FyjDvlZ2dzdra2tGVCoIBGQRDr9EoX7nAz8THx7OjsJDm3//e79MFY0lMTKTJZBr1nt1uZ3FxMXU63fgdlLB+XVhiRrhIXSb1HBLbbLfbqdPpRLt9z58/z1mzZgXf8yeBSSt4pEPAwsLCJNWvkuLLHkam/IHZ2dnSzy0jPT09zF+/flR+QrdiJ2UUKpOryGQysbS09OsM+nIQ6HpwBw8yY8EC+S2KAGC1WmkwGBgdHa18ORuJv1tycvLwXKkgCMzLy2Ntba3nc8hp/TpJvnBC7t9aZJv7+vpYUlIi6pCCIPCee+7hyy+/7H27goBJLXikowrvnj17RG/f0dEhvTq3TFF7dXV1orMcKEXH8eMsWbiQRojINCF1FCqjq2hgYIDx8fHs7u723ir3Rz04TwwOljwOLLwd9fuRrKws1tfXs7CwUNkTefm7CYLA9PR0trS08Pz584GLMhxhiUXLZT16gZS58YSEBM6fP9//wVUyM+kF78KFC5w1a5bom9tms4mu8ktS1tQ+JpOJWVlZvmdh8RH9H//IA3Pn0qiExSGzq0iv17OkpET6mkZ/L1h3xeBgqdrHwVIgMZlMjI6OZm9vr/L3ro+/myAI/Pjjj5mbm6tsO0Vw7OOPaf3DHwLi7pUSwWq327l27Vq+8847CrdKeSa94JHkI488wh//+Meit9dqtSwoKBC3scyZN0pLS1laWiq6rXJjtVp54sQJ1n/5JXUbNtAwdk5PrlGozK6izs5OajQams1mz52unyveu2TEYCnPx8FSINBqtaytrfVfhKkMv1tycjINBgOLi4up1Wr9024nXLx4MWBZSkpLSyVFhv/973+XFAAYzEwJwSsvL+fMmTNZVlYmep+EhARxP7ACuRUzMzPZ1NQkuq1yYTabmZSUNBwN2dzczOr0dMcC8AAHHYilpKSEWq2WGRkZrjcKRNJpZ4wYLIlyaXoYLPmL7u5uRkdHs6urS1zScLnw8Xf76quvhp9pm83GqqoqSX2CXLS0tLCmpka+ZVASsNvtrKurE13Ox2w2c/ny5ZKWeAUzl2IKsGLFCjz11FPYs2eP6H3uu+8+FBYWet5w0SLvGuVmv29961soKytDd3e3d8f2gr6+Ply4cAEbN27E9OnTAQARERGYs3Ileh5/HK0vvAC8+CKwbJnf2uQN3/jGN3D11Vdj+fLl0Gg06OjoGH0d6+uB8nJpBy0vBxoa5G0oALS1Df93pZf7+QuSKC0thU6nw4ULF/DQQw9h7ty5uPzyy/3TAB9/t/j4eGzZsgUhISEAgGnTpuHqq69GSEgIiouL5W6tSywWC0wmE+bMmYPLLrvMb+cdor+/H+3t7Zg5c6ao7Q8cOIDp06fjqaeeUrZh/iLQiusvWlpaGBYWxuPHj4vep6mpyXO1YYVyK9rtdqampvqlsGJ3dzdzcnJcJjA2Go0sLy/3bYF8gGhoaGBzczM1Go3j+wWycOxYRrSlVOm2eBmJarFYmJeXJ95drBQ+/G7u5qtsNhvr6+t58eJFv3yNurq6gFiVQ0gJVGlubua8efP8m+dVYaaM4JHk+++/z2uvvVa0iNjtdnHBEAq5yLq6ulhUVPR1J6NA+HxnZyeLioo8Rl/19PSwuLg4oA+rLwiCwFOnTrHmpz9lPhyZ+uVyQXvNiMGSRsbB0ii8jGgsLS0djmiUFM2o1BIPL6cOordt83hom83GhoYGxUWvtbVVWkCczEjNL/qv//qv/MEPfqBgi/zPlBI8m83GtWvX8nUJSYmbmpqYmZnpfiMFk/FWVVWxLS5OkfD5jo4OlpeXs729XdT2drud5eXl3tcuCwKEP/6RVoCxAM/AkRl/XP5Cf1l45PBgKU/mwRJJyRGNRUVFbG9v55kzZ6QHTim9xEOihScMDSJE/m5Dll5xcbFv7XSByWTiyZMnFTm2GAoLCyUtKUhLS2NoaKjndYoTjCkleCR57tw5zpo1izUSCkVmZGR4ducpFeZ+8CBTFyxwb5F4cVyDwUCtVisprdAQ9fX1PCO2Dl6wMcKqsgDsHxQ+DcAuDNYh89WqksLgYKla7sGSiIhGK8ASOKprR7/xBnU6nfMaiZ7wxxIPCVMHlsEBjdTfzWazsaamhmXJybJaqRaLxX8Ffp3Q19fHmpoa0b+t1WrljTfeyDfeeEPhlvmfKSd4JPn000/z4YcfFr29IAhMS0vzHFUldzqiEZ1WnKcHXUJnaDAYWF1d7UiW6yUGg4GnTp3yroP0FV/dZi5c0O1wlCXSDAqBERJq/vnCwYPUzJ8vr2C4+I7NcCRyzgR4DKBpUPi8/o7+XOLhYerAPvgbpgy9J/U7nT1L2113sWrxYmrHPr9eWqmCIMibFcgLmpubR+cK9cB7773H6667zi/xA/5mSgreUADLiRMnRO9jMBjEB23ItcZszAPucZ5HxANuMBio0+l8Ershent7mZqaSqPR6POxRCGX20yEC7odDusvdv58at58kyaTiVVVVYqFkmd8+KF8g6UR6/v0AC8A7ISj1lrGoDCMy6DjrRXrzyUebn43E8BKgGXeiusIK9UGsBhgva+DDpLp6ek0m83SvqdU3AwABwYGJPVzLS0tky5QZSRTUvBI6QEspMO1qXh+wCGcZHARgNGpiCR2Wp2dnaysrPTKjekKi8XCoqIi5cuFyO02k3A8QRDY19fHxsZGxsXFsaqqioWFhTx9+jQ7OztlWYs2PJjycrA0lMOyvr6emmeeYT4cCYkz4JijtLn7nkMvqfOUMmYZEo2T360FYC5Ag7fC5MRKtQPMAdjq7J4QKaTDJYeGkDugR8QAUErpH5J86qmnJl2gykimrOANBbD8+te/Fr3PUJkav+Bikn54Ml5ip9XV1cWSkhLXeUJ9eBgFQWBbWxvPKpWRRCm3mY8uaKPRyMrKSra1tVGj0TApKYlGo5FxcXE8f/48BwYGqNPpRFnA7jomm81Gu93OpqYmFhcXs6+vj2fOnKFGo2FnZyeTk5MZFxfHrq4utrS0UNi7V5oIDb2kRqIGaonHiN9NB/A8BkvreDt14MJKFQCmw2EdS7VSW1tbWVRU9HV75Q7oETFgOz5/viThT01NnZSBKiOZsoJHOsrNhISEMD8/X/Q+3d3dPHXqlIKtGsRNGLYAx/yL2E7LZDIxLy/PedUIGR9Gp5PzcoxqlXabyZzmzGazsbm5mWazmWVlZTx9+jTb29uZmprK6Oho1tfX88KFC9RoNKysrOTFixf529/+lhcvXmRlZSWjo6N54cIFh7Wm0TAtLY0dHR3MzMxkbW0tLRaL+/Wh/hIiBbIMSaHw5Enm/8d/+Pa7ebBSBYDJcLhMRz0bbqzU3t5epqWlOf5QIqBHxACwCo4IZLEDQJPJxOXLl3P//v3i2zEBmdKCR5Kvvvoqb7rpJknFRauqqpTPd+mh07IAPCWi0xoYGGBGRobzDlKh6Lro6GgOJCXJI6SBcJv5ihciL2sWeoWSIYwjQBae2Wzm6dOnJQVi+PodTgIcEPEdbDYbExISHH8o5ZnwMADsg2Muc9iNLWIAuGvXLt5+++3+m7IJEFNe8MxmM1evXs1f/epXovexWq0sLS1VtpSPiE6rC2CWm07LarUyOTnZeU5QJaPrDh7kifnzqYcj8MMnIQ2mzCie8MFalpIBQxT+CCbxl7COYMgi9rok1FgkWKnHMSJhgRMrVRCE0YWclfgNRFikhXBE4oq95ikpKQwNDVV+Hj4ImPKCR5I5OTkMCQlhXl6e6H2GMlAommpJxAPTCLDCyQNjt9uZkJDgOkJMqQ5xhJBWAKwFeNEXIQ2w20w0PlrLskfFKZgMYRR+itK0WCxMSEiQT+iGkDigioMjoMXZgGrUPKxSngkP7a2GiyQGLgaAJpOJUVFRfDfACcn9hSp4g/y///f/eOONN0oKIc7KylK2ZIaITkvAYAj14sXDnZYgCDx27JjrNXJKugnHdIBWOCb9Y73tACeChSeDtewqj6lP+GNBuMLCKggCGxoalFu47YWVGhMeTmGMm3qcha7UfetmANgFMMnVcV0MAJ9//nnecccdk96VOYQqeIOYzWauWbOGr732mqT9YmNjlbXyRHRawpIlvPDLXw5HYMbExLhvk1IPoxshtcNFBXVPQhoAt5lkZLByFOvQ5U6G4AyFhNVoNPLixYvKp7Lz4vcbKXBOI2yV8ky4eHZtAE9IfHaTk5OnjCtzCFXwRpCbmyvZtUm6DymXBRGdliAIPHv2LD/99FPPAuznh3Hk6yuAHRgzt+dJSIOlfp0zZLKWZZ/Dc9ZOGSNRxyGzsGZlZbGhoUF0nlef8NJK1Wg0PHr0qPNjKjmodDIAHF6aIfJ+6+np4TXXXMP//M//lOECThxUwRvDa6+9xhtuuEHyXIHiHRbpsdMaWgtmMpncHycA7paRr1o45veKxAqpv+ajvEGma6mISzMQ+CisdrudMTExX2e0Uar6wli8sFI1Go3r0kNKeibGDABb4EiJJ2UA+Oyzz/LOO++cMq7MIVTBG4PVauWmTZv47LPPSt4vJSVFoVZ5ZqTgJiQkuM/+odTDKKHztwKswaCbU8zaH3/MR3mDTNZyYmKif9sdZPT29rK2tvbrxA5KV19whkgrVRCEUc9bXFyc85RzSnkmRgwALXAsjpcyADx06BDDw8NZp9TgIYhRBc8JdXV1DA8P56effippv/b29oDUi3NmXZ44ccJ92jSlQqYlCqkQGcnETz+lwWBgc3Oz++P7Yz5KKjJZeH7xEAQpycnJbGlpoU6nc7wR6MGNGyvVZrMxLi5u3LRBfHz8+IA3JT0Tg9foGJzMi7u5RhUVFZwzZ87o5RNTCFXwXBAbG8s5c+awoqJC9D42m42VlZX+mXcYxF1Hefz4cdeWnlIPo5dCOpSmS1RmeaXno6Qgk7XsMuWbu/P6w9WnEDabjXq9ntHR0aPdav6sviCR3t5enjx50uUcudNlEwqKd8xbb9Huygp2MgAcGBjg2rVr+fOf/1zyuSYLquC54ec//znXrl0rKcF0d3c38/PzJWVu8RYxVkFCQoLr+SElHkYfhdRsNjMmJoY9PT0TpzyJDNay6DykgXD1yUxxcTG1Wi1zcnLGfxikAUotLS1MT0/3GBCWlJQ0PiGFAp6JURalyAHgrl27uH79euWrNwQxquC5wWw2c/369dy1a5ek/fR6PbOzsxVq1fg5BE+cOXOGBoPB+cOqhJtQBiGtra1lZWVlQOdFRSODtSwq0jcYXH0+WJVdXV2OtHMDA87vxSBNI1dRUcGioiLRy4/Onj3r3GKXyTNx6tQpyUFOR48e5bx586jVar0652RBFTwPaLVazps3z3X4sQuGUiDJzVD6Iqlr/y5cuMDGxkbX9dzkdhPKJKRGo9F9JyknvnToPopRvadOO5CuPh+tSr1ez/LyciYlJbk/TxAmGcjKymJjY6Oke08QBJ4/f55NTU2ytycnJ0dyea/q6mqGhYXx8OHDsrdnoqEKnggOHz7MsLCwryfVRZKXl8fq6mrZ2mGz2RgfH+91KHFZWRm1Wq37TPtyI5OQ5ufns66uznOn6Q1yFpb1UuQ9Lq4OlKvPByGvq6tjbGwse3t7xS3zCbI0ck7dkyKx2+0sLCyU9fmvq6tjbW2tpOffbDZzw4YN/MlPfiJbOyYyquCJZNeuXVyzZo1kV0JGRobn6EN3DFodlj17ePK552iVKLpjaW1t5cWLF9nQ0ODTcQJFb28vNRoNGxsb5QkOUsJN6IXIu3VRB8rV54VVaTabWVFRweLiYulu/SCy8GJjY31eo2az2VhRUSEp8M0VRqOROp1OUv8jCAKfffZZrlu3TtkUiBMIVfBEYrFYeM899/Dhhx+W9CAIgsCsrCzpVcZHWB39AM9gsDyJDMEJZrOZBQUFLC4u9voYgaa1tZWdnZ3UaDTU6/XeuTuDKCLQbXqnQAmBBKtSAHjqxhsZHx/vvevZX2nk3Liupc6Pe8Jms7G6upolJSVeH6O/v59arVayi/S9995jRESEZ3f5FEIVPAm0t7czKipKcr5Ni8XCvLw8GgwGcTuMsDp64CgB1Our1TEGQRBYXl7OzMxMr48RLGRmZlKn0zE/P1+aBR5EEYFu53sD4eoTaVVmAMyFI4lAz5IlvluVSv4mHlzX9sEq8nJjs9lYV1fn1Zy+zWZjVVWV5OmUU6dOcdasWTx37pzkc05mVMGTSFFREefOncsjR45I2q+7u5vFxcWe589GWB1GgAWD/ypldTQ1NfH06dPKB4T4AUEQmJiYyJMnT7Kvr89ztpkgigh029EGwsJzc84KOCpgJADUy21VKrU+1I3rWhgcWB6fP1+xCFebzcaGhgZJoicIAisrKyUns6iqqmJ4eDg/+eQTqc2c9KiC5wWxsbGcPXu25CTTLS0t1Gq1ojKgdAAsBWjwg9XR1dXFlJQUzzk4Jwg2m43d3d1MS0ujRqNhZ2cnjUbj6I2CaL6I9GDhBaJixAir0gpH/tMqOFLB1cFNYV85Akjknld147rugyMP5QUZB5GuGBK9oqIiUdtXVVVJtgq7urp4ww038KWXXvKmiZOeS6EimQceeAC/+MUvsHXrVrS2toreb/HixQCAtrY22O328RvU1wPl5egA0AFgIYBwTwctLwcaGkS3wRlz587Fhg0boNVqUVNT49Ox/EZ9PfDuu8Arrzj+ra8f/mjatGmYM2cONm3ahK1bt6K/vx/9/f3QaDQoKipCX18f0Nbm3Xm93c8Dl19+uesPly0DVqyQdsCVK4Err/S6Pa2XXw4TgEQAXwFYBOBKAFsBLAPgsrWLFnl9zmGefho4fBi4+25g6dLRny1d6nj/8GHgqafEHe+XvwT0+nFvNwOoHfz/+qE39XrH9gowbdo0LFmyBHPnzkVpaanbbXU6HUwmE1atWiX6+Ha7HU888QSWLVuGffv2+drcyUmgFXeiIggCH3vsMd5+++2SMxfk5+ezubl5vBtx/34a4Kha3OIvq2PEBL7wxz+yOSeH6enp3h9PaXxcQtDU1MTe3l6e2LGDxwGa4aasih8tPI9zR36oGNHU1MS2tjZqNBrmxMezPzLSdZ5GJaxKZ/i6rMWF67oY4EU4mRv35XuIXMdps9mo0+lcBirV1NQwNzdX8un37t3LFStWsLOzU/K+UwVV8Hygt7eX69ev5+OPPy45hDkjI4NtbW2jRM/w859LFztv3UhuhMN+112Meest14vUA4Wcrq66Og5ERrIOYMmgq64KjvlSl+46BefwRBU5ldnVV1tby46ODmZmZjI6OpptbW2jO8sgCurxGieu65MAy+Em6bLUgY0XgzCbzcaysjLW1taOel+r1bKgoEDy1zxw4ADDwsICkrx+IqEKno+0tLTw2muv5Ysvvig58CMjI4Otra0UBIEdHR2seuUV6WLnjdUhsuOMe/FFNjc3+7YeSa4kx0osIXBSV6wPjsrRxwfFLwVgvR86dNGh414sbrdYLLRarczJyWFiYiI7OzsZFxfH3Nxc2mw21x6KYK5DKJYRc5H9cBQgNsk5iPRhEGKz2Zifn0+9Xk+SLC0tZWlpqeSvePToUYaGhjI1NVXyvlMNVfBkQKvVMiIigm+//bbkfbOyslheXs6ysjK25ecrH5wgUTjOf/QRq6qqpKdJkjvJsRLWhocOXRgUwGyA+sWLmfHhh9RoNGxqaqJer5e1aKuoXJojceLqEwRhOAS+traWJSUl1Gg0zM/PZ1NTk3f1zwKdv9NX9u+nBQ4XpkerTuogUoZBmCAIzMzM5NmzZ6nVaiUPms+cOcPQ0NApXV5KCqrgyUReXh7nzp3LgwcPStqvp6eHn332GQsLCx03u9JuJC+O39XVxdbWVvFpveTuJJVcQuBFWzs7O9nZ2cnExESeP3+eDQ0N1Gg0TElJYUdHB0+cOMH8/HwODAywtraWJpNpfEc2xvI9+8UXLpsoCAIFQWBraysrKyvZ39/P1NRUxsbGsru7m4mJidRoNGxtbWVGRgazs7OHrTpZCMY6hCJpOH+eiQsWOJI2yH3vyPSsZmdn88iRI5LTmBUUFHDevHn805/+JGm/qYwqeDJy+vRpzpo1i3FxcaK27+vr4/nz52k0GllcXMzy8nJl3Ug+CofVaqVGo3E/ClXC9aj0EgKZO/T+/n42NDRwYGCAhYWFTEhIYEdHB5OTk6l580023XYbMxcupAagDmA+wL/Om8eSW25h2aFDjI6OZm5uLmtqaqjRaJiens7W1lampaWxurqaZrOZHR0dktokC8FUh9ADdrudGRkZzMrKUq7YsQyDsMzMzOEAtlOnTolOAVZdXc3IyEi+/vrr3lyeKYsqeDJz5MgRhoaGeox0tFgsTE1NHbX2rbq62rG2Tyk3kozVuZ1aLaQynYu/Mo0o3aG7+V01vvyuEw2Fi9c2NzczKyuLLS0tjjeUGETK8Cylp6ezvb191HP01Vdfeayl2drayhUrVvD555+fFAkj/IkqeArwwQcfcP78+S4XmNpsNiYmJjpdgK7X65mRkaGMG0lG4cjOzmZdXd3oeSGlXI9BtkjcKzxYvonedLoTDYWL1wqCwNTUVLa3t9Nms43+UO5BpI/PUnJyMo1Go1PBOnbs2Pj2D9LT08NbbrmF27dvd7mNimtUwVOI1157jZGRkQ435QgEQeDx48fdzq/09PTw5MmTjj/ktDpkFo7u7u7RJXuUEqZAZBqRGw+Wb8/Y94IxxN8XFA5+6erq8uxul3MQ6cO9npCQ4DGrkbOalyaTiXfddRe3bNniPluTiktUwVMIQRC4e/duXnHFFayqqhp+T2zZEavVKnouUDQKCUdPTw81Gg3te/f6NOp1y0ReEybC8tWMfU9JwVbYpTgOBatSdHV1saioiKdOnRLfHjkGkV4+Syf++lfR83QjBbyvr4/33HMP77zzzkmTAjAQqIKnIIIg8KWXXuKyZcuo0+k8j0Cd7C91H48oKBxnd+2iHo5ADKmjXs8Hn8BrwkRYA8e8vS5SUNil6BIF7jm73c6UlBS2tbWxra1NmXZ7QuL3Or5mjfuE5k7QaDTs6+vjt7/9bW7atEnWpTBTEVXwFEYQBL7wwguMiIiQXOJjiOjoaPlET+Eo0N4lS1gNMFbCqFe0JTNR14SJmO8Z59IE5K3kHahrJ/O87lC5nJiYGHnb6Q0SnqX4+fM5IHZZzwj6+/u5fv16btiwwXOlFRWPqILnBwRB4Isvvshly5YNuzelIqvoKdn5DY56bQDjAHbBQ2YLqa7HibgmTISF95WSFl4gC93KOK9bXFw8XE09aPDwLNnhKDtk9mKtXF9fH++77z7edttt46t9qHiFKnhO6Ozs5IEDB7hv3z5u27ZtXO07T58fOHCAO3bsYGJiIhMTE7lt27Zh9+bcuXN5//33c/fu3ZLbpdFo5IvMUko4xox6GwFWAkySu3OdQGvCxMz3KDqHF8j5Txkig9vb2xkTE0Or1RqcYfguniXTkiU8deONNJ8+LfmQjY2NXLlyJa+//no+/fTTPHDgwLhttFotd+/e7fQzZ33QEEP9ljd90ERHFTwnjLwROjs7GRYWxpycHNGf79u3j2FhYQTAe++9l1qtlqTD0vvWt77FyMhIPvPMM15lNU9ISGBXV5d8D74SwuFk1Ns12Kn3DY56g9L16A5fAz08iE6nUqIT6EK3Plh4ra2tzM/P59lgtNqdMeJZqn3tNebEx3s1QO3q6mJkZOSoObuwsDAmJiYObzNSyJwJnqs+iPy6/9q9e/eUq6ygCt4YtFotd+zYMeq9HTt2DI+QPH1O0ukNOMS2bdu4Z88eTp8+nefOnfOqjXl5eayrqxMd7RUQXIx6ixctYvWGDUz5r/8KdAvFIVegh4f5nmS5LN+xBHoNoxfRjE0RETz+17/SZDIF9z3ugszMTDY2Nno1KG1ububatWs5d+7cUVHaUVFR3Ldv37jtd+zY4dLCc8W2bdvY2dk5qs+aKqgFYMcQHh6Ow4cPw2g0jnp/6G9Pn3ti7969IIlXX30V9913H+Lj4yW38aabbsJll12G6upqSQVo/crttwOnTwOZmaMKtd6Qk4N/OHcO6556CjExMejo6EB/f3+gW+ucjz8Gtm8HUlKApqbRnzU1Od7fvh345BPPx7r9duCNN4DISKcfG4f+ExkJvPmmY3s5CHShW5HFawmgBUAWgPorr8R3/vmfERoaipCQEM/ncFMM2N989dVXuPHGG7F06VJccsklkvbVarXYtGkTbrjhBrS1teH73//+8Gc6nQ733nuvLG3cu3cv3nrrralZJDbQijsRWLdunVt/99jPDxw4wCNHjvDIkSPct2/fuDm+IYbSkH3spWuvr6+Pubm5o9wVEw2tVku9Xs/jx48H1/yMUoEeLixffUSEMkE3gbbwSI/WbREcJZn6AdqXLJF2LQOxzMIJvi4hys3N5eLFi/nSSy+NW6fryopz95nYPmiqoQqeB7RaLcPCwlz6up19PlRzbIh169a5FKXTp09z7ty5fPvtt716WARBYGFhIfPz8yXvG0zYbDZqNBrqdDo2NzcHujnKB3qMmTvNUKq8S7BkqRkzr2sA2AQwC2DFyIGD2MFfEC1RGbp3vSUpKYlz587lO++8M+r9oeC43bt3uxQsV4InpQ+aSqiC54F77713VECK1M9Jx005dt5vJLm5uYyIiODPfvYzr4utarVanj59OrisJC/o6uqiyWRiTEwMq6qqAvN9AhDooWg9syDJUiOkptJ6112MCQ9nOkDryGsnxboN5DKLkd9HENjd3c3Y2Fivj/H5559z1qxZ/OSTT9xuFxUV5VTY3Fl/Y7dz1wdNFVTBc8Pu3bvdipmrz8e+t3v3bt57771uz1VVVcXly5fz8ccfd12B2gNGo5EpKSmS62oFK4WFhayqqmJBQQFbW1v9d+IAuAGrq6tla/44ApylRhAEJiYmsqKigmVlZbTX1PgWGRwEAt7R0cH6+npH+SEvef/99xkaGspjx46Nen/IshvJjh07GBUVNe4YrgTPmz5oKqAGrbjgo48+wqOPPop169YBAHJzc0V9rtPpsGXLlnHHCwsLc3u+5cuXIz09HRUVFdiyZYtXwSjz5s3Dpk2b0NLSguLiYsn7BxurV6/G8uXLsWbNGlRUVCAhIQG9vb1ob293vZMcAQwBCPQQG/TkFR4CZoaRMWCGJAoLC9HS0oJjx45hw4YNuO6667By5Upc+g//ALz4IvD6645/ly0Tf+D6eqC8XFpjysuBhgZp+7ihsLAQRqMR06dPx6233ip5f5vNhhdeeAGvvfYaEhMT8b3vfW/U59nZ2dizZ8+4/Tz1IUN42wdNCQKtuMFIYmIijxw5MlzZWqvVjhpFefp8bPjwunXrPLo9h+jt7eX27dt51VVXOWrjeUlvby8TEhLEuwT9nVDYS0wmEwsKCqjRaGg0Gr8OW5czgCEAFp6iLs0hFM5SIwgC29vbmZubS41Gw56eHvlL2AQ4CCchIYF6vd7r72UwGLhlyxauWrXK5ZxaZ2fnuD4kKirK6Tzetm3bnC5X8KUPmsyogjcGrVZLAONeQzeQp8+Httm3b9/whPPIBaNiEASBr7/+OmfPns0vvvjC6+8yFDnmtpRIEEW6SUWn01Gv11Ozaxe1ixZ9PSfkawBDAAI9SktLxbVLjkGJjMkGBgYGaLFYeOLECcbFxXFgYEDZtXP+KgbshJiYGPb29nq9f3FxMZcvX86tW7d6zIs5sg/ZsWPHOLHLyckZXly+bt067tu3b5SA+toHTVZUwQtiNBoN58yZw9dee83rYBaSPH78OOvr68fX4AtEpJvcluRgAEMxwA44FnCfgSOXp+DL/JSf54ncCl6QDUp6Skup//WvGf3DH7LgP/6DzTk5kqsAeE0ALLyBgQEeP37cp2cwLi6Oc+fO5auvvurTcVR8QxW8IKewsJDXXHMNf/CDH/hUGuTixYusqqpiTU2N4w1/R7op1Wk7ESYDwDI4wt2jAbYCtEgVJj8Herh0aQZB+L3dbqfVamX6Bx9Qs2oVjUuWsDZQwutH67u7u5sVFRUsKiryurmCIPDtt99maGgoP/vsM6+PoyIPquBNANra2rh582auWbPGp2i+/v5+dnR08MSJE/61YJTqtEUsHxAA5gM0AjwOMGvhQlp0OnEWiR/Fxul8bYDC7wVBoMFgYHt7OzUaDc+ePUvDf/0X2yMiAiq8w/jh3i0pKWF6erpP7tne3l7+0z/9E6+88kp1/ixIUAVvgmCxWPjTn/6UYWFhjI6O9ulY9poaRs+f70jirPAoWdFO2wv3ViPA5t/+lhcvXmR0dDSLi4tZXV3tulahn8oROR3I+KFjt9vt7OrqYkZGBltaWpiWlkaNRsPW1lY2Nzc7gp6CZN3bMApa30NLKMrKynxqYnFxMVetWsVNmzYFRyIFFZKq4E04PvvsM86dO5cvvPCC+2AUdwwKReyg5eM22GPky5t5ECU7bRkCGIbcdUNZ+dva2qjRaJibm0uLxfJ1kILC5YjGuTQVWPwuCAL1ej17enoYFxc3XHkjNTX1a3FzRhCsexuHAtZ3W1sbz549S5PJ5HWzBEHgxx9/zNDQUL788su0WCxeH0tFflTBm4BUVVXx5ptv5rp161hZWSn9ACOEohhgDcACiUIhCqUzligYwNDQ0ECTyTRs8TQ0NAyncOvu7mZ3d7esIfcZGRmyfTej0cienh42Njby7Nmzw0VTo6OjWVtbS6PROD6AyRWBLi/kDpms756eHqalpbG1tdWnzD49PT3853/+Zy5atIhfffWV18dRUY7LArH2T8U3hhapv/zyy7j55ptx4MABPPbYY+IPsGjR8H9vAGADEAogBsBWkfuJ4ssvAb1e2j5NTY79XnzR87Y//CHwu9+Nr2TgjqVLHft54IorrgAAbNq0CQAgCAIWLVqExsZGdHd3gyRSUlJwxRVXYOHChcjLy8PChQtx/fXXo7KyEkuXLkVkZCQMBgNmzZqFOXPmQBAETJs2zen5rr766tFvDC5iJwArgEvhqKhgBxAGoBxAF4C1AFIG398MIPfCBVxy4424+eabYbfbcf3112PhwoUAgBtuuEHkRRqB0r+hLwxV5KivB44edVyzRYuAH/xA1GJ2ksjPz4fBYMCWLVskVzcYSUFBAbZv344rrrgC+fn5WLp0qdfHUlEOVfAmKDNnzsT+/ftx991346mnnkJycjLeffddceVUxgjFZQAWAngQQCyALQBmYszNIVIoRqF0xpKh0jNSBG/lSuDKKyU36dJLL8WMGTNwzTXXDL935YjjXHXVVSAJwCFenZ2dsNvtqKurQ29vL2699VZkZWWhp6cHmzZtQllZGdrb27F+/Xo0Nzfjyy+/xI9+9CMMDAxAq9Viuc2GywEUAbgGQASAKgCL4RiczAFwLYDLAXxdRAa4+5ZbgM2bAQBz5syR/D3HEejyQmJYtkyyuLa0tKCmpgZLlizB2rVrvT41SRw4cAD/9m//hj179uCVV15xOahRCQICa2CqyEFtbS03btzIVatWia+a4GZephygFo7oRp/mZfyxZirAeSLlIjk5efQbwVLlIBjKC8lIX18fk5KS2NXV5fN6uLa2Nm7bto2RkZHjfz+VoEQVvEmCxWLhL3/5S4aEhPBXv/qV58lyD0JhhaN8S4wvQuGvTjsI1qr5itPyU8EQLBIswusjdrudBQUFss2tffHFF1y0aBEfeugh/yY2V/EJVfAmGTk5OVy9ejXXrl3LgoIC9xuLEAr7kiU88dJL7OzspMFgkN4gf3Xaflo+IAovssk4XXgeLNZrMAivlwiCwLKyMpaWlrpeeiKBtrY2PvbYYwwPD+enn3464ctxTTVUwZuEmM1mvvrqqwwJCeFvfvMb99aeSKFoa2tjVVUVjx8/Lq0x/u60FV4+4BYfssm4tDyCwXpV8jdUMGm5TqdjbGysbNG0R48e5eLFi/nQQw9Rr9fLckwV/6IK3iQmOzubq1at4rp161hYWOh+Y5FC0d/fP5xEV3RoezB02krj43d0mzYuGKxXuX9DBfODtra2MjMz07OHQyTt7e18/PHHGR4ezkOHDqlW3QRGFbxJzsDAAF955ZVha8/rxepjqKyspFarZVpamrgdgqHTVgoZMpGMLQLqlEBar6R8v6FCA6CWlhaePHlStrJEgiDwiy++YEREBLdu3apadZOAS0gy0JGiKsqTnZ2NZ599Fv39/Xjvvffw7W9/2+djkkRnZydSU1Nxzz334PLLL8eMGTPc7+Tlmqmg5u67gZQUadufPj3qrZiYGGzdulXedimFL7/h2bPAo4+KW9sXGQkcPuyxIG1PTw9ycnIwY8YMbNy4UVw7PFBRUYEXXngBOTk52L9/P5544gmf1umpBAeq4E0hbDYbPvzwQ7z66qvYsmUL9u/fj6uuukqWY5eXl2P27NkoKSnBfffdJ8sxJwT19cC3viVtcfbSpUBW1qj1gCaTCbNnz1aggYPU1zsWgw+J1A9/GJiBhgyDgyHKysrQ3NyMm266CbNnz8Zll/m+rLi3txdvvvkm9u/fj2eeeQa//e1vMX/+fJ+PqxIkBNS+VAkIzc3NfOqppxgaGso33nhDNjcn6QiYiY6OZlNTk8cil5MCmdapKVagM5hq6cmQpsxqtbKnp0eWBM8jEQSBX375JZctW8bbbruNubm5sh1bJXi4NNCCq+J/IiIi8PHHH+PkyZM4cuQIVq9ejYSEBFmOPWPGDDz00EOwWq2wWCw4fvw4LBaLLMeWjfp64N13gVdecfxbX+/9sWTKRNLb2+t9G1zx8cfA9u0Oi2psNpqmJsf727cDn3wi/7md4UuaMgDnzp1DVlYWbDYb7r33XqxcuVKWZlVUVOD+++/Hc889h9/85jdIS0vzKfuKShATaMVVCSxWq5Xvvfce582bx4cffpjl5eWyHl8QBMbHx7O4uJiNjY2yHlsySlg7Mll4bW1t8nzHIYKtpA/pVXULHUDDSy/x9OnTsi/w7uzs5J49exgSEsLnn3+eHR0dsh5fJfhQBU+FpCPC7cc//jFnzpzJnTt3yi5OZrOZAwMDjImJYV5env9Du5UsQitDJpKzcgtOMC4WFzk4sADsAaiBo2p9/+9+J2sz+vr6+M4773D+/Pm8++67VfflFEIVPJVRlJWVcdu2bZw1axZffvll5ymvfKS6uppVVVUsLCz0qYK7aJS2dmQQF1+L+o4iWEv6eBgcWAAegyOlXYkC7bJarfzzn//MK6+8kmvXrmVCQoK6pm6KoQqeilPOnz/Pe+65h/Pnz+c777zDvr4+Rc6Tl5fH48ePD9dvUwSlrR0ZMpHUyyk2wZzwecxvYRkUtyqAcQDtCliegiDw6NGj/MY3vsHly5fz73//u8+Jo1UmJqrgqbhEEAQmJCRw7dq1vPLKK/nnP/9ZfHYViZhMJpaXl1Oj0bCtrc195hEp+Mva8dFleuHCBd+/6xAyVIJXjLNnaV6yhCaApwctOgtAQS5rewwpKSncsGEDIyIi+MEHH6gVyKc4apSmiksuueQSfPvb30Z2djZ+//vf4+2338bKlSvx4YcfYmBgQNZzhYaGYsWKFdi6dSv6+vpgNpsRExODmpoaCILg/YF9jAwUzdNPOxZJ3323Y53dSJYudbx/+DDw1FNOd29sbJR2PndILdTr634iEAQBFosFx4xGZPzrvwIREbgDwPcATAcwbkl3ZCTw5pseF507gyROnDiBO++8Ew8++CC+//3vQ6vV4ic/+QmmT5/u+5dRmbgEWnFVJg5Wq5WHDh3i6tWruWTJEu7bt49dXV2KnrOgoIB6vZ4ZGRneWUGBsHa8SAFWWVnp/fmcnT8ISvpYrVbq9XpGR0dTp9OxtLT0aw+BAqnmbDYbP/vsM950001ctGgR33zzTRqNRlm/k8rERs20oiIZkoiPj8ebb76J0tJS/PSnP8WLL76IRQpaCABQX1+P1tZWLF68GMXFxbjzzjsREhLiPuXTu+8CP/+59JO9+67kKtq+UFRUhFWrVsl3QBkzmkglLy8PBoMB69evR3V1NW666SbXv5EMqebMZjP++te/4p133oHFYsHu3bvxzDPPICQkRIZvozKpCLDgqkxgBEFgSkoK//Ef/5GzZs3irl27WFtb65dz9/f389SpU2xtbeWZM2dYUVHhfMMgsXY84bQeni/4qSyT1WplV1cXv/rqK5aUlLCsrIw1NTXyfhcX9PT08A9/+AOXLl3Kb3zjG/zLX/6iztGpuEW18FRkITc3F2+//TZiYmLwwAMPYNeuXbjzzjv9lnC3uLgY06ZNAwBUVlZiw4YNmDt3LmbOnBlQa0csRUVFWDVvnrz5Lj/+2JFNxt0c5tBcmYu5xbFYrVZccsklyMrKQkdHB+644w5UV1fj+uuv95tFVVlZiQ8++AAff/wxVqxYgV/84hd48MEHcemlakiCigcCrbgqkwudTsd///d/5/z587l69WoeOHCAJpPJr22w2WwsKSlhV1cXY2JieGr/fpqXLGGHwtaO15w9y8pbb1Um36WPc2Vms5nNzc1sbGxkdHQ0s7Ky2N7eLnvWE0/YbDbGx8fzO9/5DmfMmMHHHnuM6enp6jo6FUmoFp6KIvT19eHTTz/F+++/j+rqajz55JPYuXMn1qxZ4/e2mEwmCH/9K2pfew269nasAtAHYBqA6wEM2wUSrR1ZGLTCYvR6bHW1jRztEjFXZrfb0dbWhuLiYqxZswYVFRXo6urCpk2bIAhCQKoGNDc34+DBg/jTn/6EgYEB7Ny5Ezt37kRkZKTf26Iy8VEFT0VRSCIrKwsHDhzA559/jptuugnPPvssfvjDH2LevHn+bUxaGvDLXwLl5WBTEyoB9AJYGBGBnEWLsOT557HqiSfQ3NyMq6++WpZyM24ZURsuG8B6d9uKrA0nlubmZvT09GDBggVITU1FaGgoNmzYgPLyclx//fUIDQ0NWP03m82GxMREHDx4ELGxsbjrrrvw3HPP4YEHHlCXFaj4hCp4Kn6js7MT//d//4e//OUvKCkpwQMPPIAnn3wS999/v+fCsXLiwtoxmUy4/PLLUV5ejtraWmzatAnZ2dkwmUy44447YDAYEBISgoiICFxyySW+C+KIucUGAFe63Rii5xZJwmazobe3F42NjQgLC0NbWxtqa2tx3XXX4bLLLkNHRwdWrlyJkJAQXH755b59DxkgiQsXLuBvf/sbPvvsM8yYMQNPPvkkfvzjH2P58uWBbp7KJEEVPJWAUFJSgkOHDuHQoUPo6enB9u3b8eSTT2Ljxo1BWVl6YGAA/f390Ol0WLBgAQYGBlBeXo5rrrkGc+bMQWFhIa666iosW7YMNTU1CA8Px9KlS9Hc3Iw5c+YgLCwMZrP562UUYwrHagA85OS8ZgB2ONyv7RERQFwcwm64AZWVlRAEAStWrEBSUhKmT5+OO+64A+np6bBYLLj77rtRXV2NkJAQREVFAcBwUE8wUVVVhUOHDuFvf/sbWltb8cgjj+DJJ5/EnXfeqQahqMiOKngqAUUQBJw7dw6HDh3C559/jnnz5uGJJ57A9u3bsXr16qAUP1cMDAzgsssuQ3NzM2w2GyIjI1FSUgKLxYLVq1fj/Pnz6OrqwubNm5H7i1+g64MPcBsAHYBkAE8A6ABQC+AbAAQA1QCuBTAbQBOAxa+9hvn/9m8wGAwICwvD7NmzMW3atAl1nRobG3H06FEcOnQIeXl5+O53v4snn3wS3/ve94LC2lSZvKiCpxI0WCwWnDhxAocOHcLx48exYMECPPjgg3jwwQdx1113+dftqTSvvOIIRBmkHcBCsfu9/rpSrVIEksjPz0dsbCxiY2NRUFCATZs24YknnsC2bdsQHh4e6CaqTBEUnpVXURHPjBkzsHXrVmzduhUDAwNITk5GbGwsnn76aXR3d+P+++/HAw88gO9+97tYsGBBoJvrG2Oy0qQDrqM03ewXrIz8/Y4dOwaj0Yj7778fP/vZzybH76cyIVEtPJWghyTy8vIQGxuLuLg4FBQUYOPGjbj//vuxefNm3HLLLRMveq++HtiwwZGoGsApAPd62mfpUiArC7jSY3iL3yGJsrIypKSkIDExESdPnsSCBQvwwAMPDFvoM2fODHQzVaY4quCpTDgaGhpw7NgxnDp1CikpKejv78ftt9+OzZs3Y/PmzVi/fv3EEMARUZomOObpPG7v5wwwriCJ8vJyJCcnIyUlBSkpKeju7sbGjRtx991344EHHsCaNWsm1NyiyuRHFTyVCY0gCCgpKRnueM+cOYOBgQFs2rQJmzdvxu233461a9di9myPcuJ/0tKA7dsBvR4x8ODSlHkdnlSsViuKi4uRmZk5LHBdXV3YuHHj8EDj1ltvVa04laBGFTyVSYUgCCguLkZKSgqSk5ORmZmJ5uZmrFy5EjfffPPwa+3atZgzZ06gmzucaSVer8f3XG3j5wwwFosFxcXFyMnJGX4VFhZixowZWL9+PTZv3oy7775bFTiVCYcqeCqTHr1eP6rzzsnJgV6vx4oVK4bFb+XKlbjuuusQFRXl/2jQtDSYfvELzNZqh+f0ADjm7FauBH7zG0UsO0EQ0NDQgIqKClRUVKCwsHBY3C6//HKsW7du1CDh2muvVdfGqUxoVMFTmZI0NzcjNzcXOTk5KCgoQEVFBSorK2G1WnH11VdjxYoVo17XXXcdli5dqtjcYEJCAv7xhht8rg03FkEQ0NbWBq1WOyxsQ6/KykpYLBZcc801WLFiBb75zW8Oi9vy5ctVcVOZdKiCp6IyyFiLZ+SruroaJLFw4UJERkZi6dKliIyMHH4N/b1gwQLMmTMHc+bMwaxZs0SLRkxMDLZu9bwwgSQGBgbQ09MDk8mEzs5O6PX64VdTU9Oov0cugh8r4itWrAiMRauiEiBUwVNREYHVakVLS4tTURn5XkdHB8xmMwDgkksuQWhoKObMmYPZs2cPC2FoaCimTZuGSy+9dPhls9kwbdo02O12CIIAQRDQ39+Pnp6eYXEb+tdutwNwpAoLCwsbJbzOxDgyMhKzZs0K5OVTUQkKVMFTUZEZq9U6SqBG/tvT04Pe3t5hURv5GhLBoVRhISEho8RypGjOnj0bM2fOVMP+VVQkoAqeioqKisqUQJ2VVlFRUVGZEqiCp6KioqIyJVAFT0VFRUVlSqBWS1BRkRmj0YjDhw/DaDTiwoULePTRR7Ft27bhzx955BHs3bt3uDDrEGFhYcP/f+eddxAVFYWOjg6Eh4cP7//OO+/gwoULiIqKwr59+/zyfVRUJguq4KmoyMxbb701LEZGoxHXXHMNoqKisG7dOgDAqVOn8MUXX4zbT6vVIioqCjt37sQjjzyCe+911E945JFHsG7dOkRFRcFgMODIkSPYs2cPjEbjKJFUUVFxj+rSVFGREZ1OB6PROPx3WFgYtm/fjrfeemv4vX379oHk8KuzsxMHDhwYtvgOHz48LHYAcN999+HAgQOjjq/T6VSxU1GRiCp4KioyEh4ePuzOHMnQ30ajEdu3bx/12UcffYQdO3YAAHJzc8dVAA8PD8epU6cAAHv37h1lQaqoqIhHdWmqqMhIWFgYOjs7R72XnZ09bLGNtcpGih0AdHR0jNsmLCxsWDDXrVs37BpVUVGRhmrhqagoiE6ng06nw969e8d9ZjQaodVqRwncWMtwiI6ODoVaqKIydVAFT0VFQXbu3ImkpCSn820fffQR7rvvvnHvO3OHjnVzqqioSEcVPBUVhdizZw/27dvn0gU5MlBliKGlCCNx5uZUUVGRjip4KioK8NFHH+HRRx8dFrvc3NxRnw9FWo613JyJo9FoHBW1qaKi4h2q4KmoyMypU6cQHh6OqKioYWHLzs4etY1OpwMwPogFALZv3z4clQkAiYmJ2Llzp6JtVlGZCqhRmioqMqLT6ZzOyzlbRjDWnTnEgQMHsGfPnuHj7dmzx+W2Kioq4lHLA6moqKioTAlUl6aKioqKypRAFTwVFRUVlSmBKngqKioqKlMCVfBUVFRUVKYEquCpqKioqEwJVMFTUVFRUZkSqIKnoqKiojIlUAVPRUVFRWVKoAqeioqKisqUQBU8FRUVFZUpwf8HJi0H3rB0SpkAAAAASUVORK5CYII=\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Number seeds in the sunflower seedhead\n", "n = 200\n", "# The golden ratio, 1.61803398874989...\n", "phi = (1 + np.sqrt(5))/2\n", "\n", "# Calculate and plot the seed positions, (r, theta) for each seed, s\n", "s = np.linspace(0,n-1,n)\n", "r = np.sqrt(s)\n", "theta = 2 * np.pi * s / phi\n", "plt.polar(theta, r, marker='o', linestyle='', markersize=12, color='r');" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "# simple animation\n", "\n", "# https://scipython.com/book2/chapter-7-matplotlib/examples/animating-a-decaying-sine-curve-1/" ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [ { "ename": "KeyError", "evalue": "'ipyml'", "output_type": "error", "traceback": [ "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", "\u001b[0;31mKeyError\u001b[0m Traceback (most recent call last)", "Cell \u001b[0;32mIn[33], line 5\u001b[0m\n\u001b[1;32m 2\u001b[0m \u001b[38;5;28;01mimport\u001b[39;00m \u001b[38;5;21;01mmatplotlib\u001b[39;00m\u001b[38;5;21;01m.\u001b[39;00m\u001b[38;5;21;01mpyplot\u001b[39;00m \u001b[38;5;28;01mas\u001b[39;00m \u001b[38;5;21;01mplt\u001b[39;00m\n\u001b[1;32m 3\u001b[0m \u001b[38;5;28;01mimport\u001b[39;00m \u001b[38;5;21;01mmatplotlib\u001b[39;00m\u001b[38;5;21;01m.\u001b[39;00m\u001b[38;5;21;01manimation\u001b[39;00m \u001b[38;5;28;01mas\u001b[39;00m \u001b[38;5;21;01manimation\u001b[39;00m\n\u001b[0;32m----> 5\u001b[0m \u001b[43mget_ipython\u001b[49m\u001b[43m(\u001b[49m\u001b[43m)\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mrun_line_magic\u001b[49m\u001b[43m(\u001b[49m\u001b[38;5;124;43m'\u001b[39;49m\u001b[38;5;124;43mmatplotlib\u001b[39;49m\u001b[38;5;124;43m'\u001b[39;49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;124;43m'\u001b[39;49m\u001b[38;5;124;43mipyml\u001b[39;49m\u001b[38;5;124;43m'\u001b[39;49m\u001b[43m)\u001b[49m\n\u001b[1;32m 7\u001b[0m \u001b[38;5;66;03m# Time step for the animation (s), max time to animate for (s).\u001b[39;00m\n\u001b[1;32m 8\u001b[0m dt, tmax \u001b[38;5;241m=\u001b[39m \u001b[38;5;241m0.01\u001b[39m, \u001b[38;5;241m5\u001b[39m\n", "File \u001b[0;32m/opt/homebrew/opt/ipython/libexec/lib/python3.11/site-packages/IPython/core/interactiveshell.py:2369\u001b[0m, in \u001b[0;36mInteractiveShell.run_line_magic\u001b[0;34m(self, magic_name, line, _stack_depth)\u001b[0m\n\u001b[1;32m 2367\u001b[0m kwargs[\u001b[38;5;124m'\u001b[39m\u001b[38;5;124mlocal_ns\u001b[39m\u001b[38;5;124m'\u001b[39m] \u001b[38;5;241m=\u001b[39m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39mget_local_scope(stack_depth)\n\u001b[1;32m 2368\u001b[0m \u001b[38;5;28;01mwith\u001b[39;00m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39mbuiltin_trap:\n\u001b[0;32m-> 2369\u001b[0m result \u001b[38;5;241m=\u001b[39m \u001b[43mfn\u001b[49m\u001b[43m(\u001b[49m\u001b[38;5;241;43m*\u001b[39;49m\u001b[43margs\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;241;43m*\u001b[39;49m\u001b[38;5;241;43m*\u001b[39;49m\u001b[43mkwargs\u001b[49m\u001b[43m)\u001b[49m\n\u001b[1;32m 2371\u001b[0m \u001b[38;5;66;03m# The code below prevents the output from being displayed\u001b[39;00m\n\u001b[1;32m 2372\u001b[0m \u001b[38;5;66;03m# when using magics with decodator @output_can_be_silenced\u001b[39;00m\n\u001b[1;32m 2373\u001b[0m \u001b[38;5;66;03m# when the last Python token in the expression is a ';'.\u001b[39;00m\n\u001b[1;32m 2374\u001b[0m \u001b[38;5;28;01mif\u001b[39;00m \u001b[38;5;28mgetattr\u001b[39m(fn, magic\u001b[38;5;241m.\u001b[39mMAGIC_OUTPUT_CAN_BE_SILENCED, \u001b[38;5;28;01mFalse\u001b[39;00m):\n", "File \u001b[0;32m/opt/homebrew/opt/ipython/libexec/lib/python3.11/site-packages/IPython/core/magics/pylab.py:99\u001b[0m, in \u001b[0;36mPylabMagics.matplotlib\u001b[0;34m(self, line)\u001b[0m\n\u001b[1;32m 97\u001b[0m \u001b[38;5;28mprint\u001b[39m(\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mAvailable matplotlib backends: \u001b[39m\u001b[38;5;132;01m%s\u001b[39;00m\u001b[38;5;124m\"\u001b[39m \u001b[38;5;241m%\u001b[39m backends_list)\n\u001b[1;32m 98\u001b[0m \u001b[38;5;28;01melse\u001b[39;00m:\n\u001b[0;32m---> 99\u001b[0m gui, backend \u001b[38;5;241m=\u001b[39m \u001b[38;5;28;43mself\u001b[39;49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mshell\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43menable_matplotlib\u001b[49m\u001b[43m(\u001b[49m\u001b[43margs\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mgui\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mlower\u001b[49m\u001b[43m(\u001b[49m\u001b[43m)\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;28;43;01mif\u001b[39;49;00m\u001b[43m \u001b[49m\u001b[38;5;28;43misinstance\u001b[39;49m\u001b[43m(\u001b[49m\u001b[43margs\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mgui\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;28;43mstr\u001b[39;49m\u001b[43m)\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;28;43;01melse\u001b[39;49;00m\u001b[43m \u001b[49m\u001b[43margs\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mgui\u001b[49m\u001b[43m)\u001b[49m\n\u001b[1;32m 100\u001b[0m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39m_show_matplotlib_backend(args\u001b[38;5;241m.\u001b[39mgui, backend)\n", "File \u001b[0;32m/opt/homebrew/opt/ipython/libexec/lib/python3.11/site-packages/IPython/core/interactiveshell.py:3543\u001b[0m, in \u001b[0;36mInteractiveShell.enable_matplotlib\u001b[0;34m(self, gui)\u001b[0m\n\u001b[1;32m 3540\u001b[0m \u001b[38;5;28;01mfrom\u001b[39;00m \u001b[38;5;21;01mmatplotlib_inline\u001b[39;00m\u001b[38;5;21;01m.\u001b[39;00m\u001b[38;5;21;01mbackend_inline\u001b[39;00m \u001b[38;5;28;01mimport\u001b[39;00m configure_inline_support\n\u001b[1;32m 3542\u001b[0m \u001b[38;5;28;01mfrom\u001b[39;00m \u001b[38;5;21;01mIPython\u001b[39;00m\u001b[38;5;21;01m.\u001b[39;00m\u001b[38;5;21;01mcore\u001b[39;00m \u001b[38;5;28;01mimport\u001b[39;00m pylabtools \u001b[38;5;28;01mas\u001b[39;00m pt\n\u001b[0;32m-> 3543\u001b[0m gui, backend \u001b[38;5;241m=\u001b[39m \u001b[43mpt\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mfind_gui_and_backend\u001b[49m\u001b[43m(\u001b[49m\u001b[43mgui\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;28;43mself\u001b[39;49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mpylab_gui_select\u001b[49m\u001b[43m)\u001b[49m\n\u001b[1;32m 3545\u001b[0m \u001b[38;5;28;01mif\u001b[39;00m gui \u001b[38;5;241m!=\u001b[39m \u001b[38;5;124m'\u001b[39m\u001b[38;5;124minline\u001b[39m\u001b[38;5;124m'\u001b[39m:\n\u001b[1;32m 3546\u001b[0m \u001b[38;5;66;03m# If we have our first gui selection, store it\u001b[39;00m\n\u001b[1;32m 3547\u001b[0m \u001b[38;5;28;01mif\u001b[39;00m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39mpylab_gui_select \u001b[38;5;129;01mis\u001b[39;00m \u001b[38;5;28;01mNone\u001b[39;00m:\n", "File \u001b[0;32m/opt/homebrew/opt/ipython/libexec/lib/python3.11/site-packages/IPython/core/pylabtools.py:322\u001b[0m, in \u001b[0;36mfind_gui_and_backend\u001b[0;34m(gui, gui_select)\u001b[0m\n\u001b[1;32m 318\u001b[0m \u001b[38;5;28;01mimport\u001b[39;00m \u001b[38;5;21;01mmatplotlib\u001b[39;00m\n\u001b[1;32m 320\u001b[0m \u001b[38;5;28;01mif\u001b[39;00m gui \u001b[38;5;129;01mand\u001b[39;00m gui \u001b[38;5;241m!=\u001b[39m \u001b[38;5;124m'\u001b[39m\u001b[38;5;124mauto\u001b[39m\u001b[38;5;124m'\u001b[39m:\n\u001b[1;32m 321\u001b[0m \u001b[38;5;66;03m# select backend based on requested gui\u001b[39;00m\n\u001b[0;32m--> 322\u001b[0m backend \u001b[38;5;241m=\u001b[39m \u001b[43mbackends\u001b[49m\u001b[43m[\u001b[49m\u001b[43mgui\u001b[49m\u001b[43m]\u001b[49m\n\u001b[1;32m 323\u001b[0m \u001b[38;5;28;01mif\u001b[39;00m gui \u001b[38;5;241m==\u001b[39m \u001b[38;5;124m'\u001b[39m\u001b[38;5;124magg\u001b[39m\u001b[38;5;124m'\u001b[39m:\n\u001b[1;32m 324\u001b[0m gui \u001b[38;5;241m=\u001b[39m \u001b[38;5;28;01mNone\u001b[39;00m\n", "\u001b[0;31mKeyError\u001b[0m: 'ipyml'" ] } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import matplotlib.animation as animation\n", "\n", "%matplotlib ipyml\n", "\n", "# Time step for the animation (s), max time to animate for (s).\n", "dt, tmax = 0.01, 5\n", "# Signal frequency (s-1), decay constant (s-1).\n", "f, alpha = 2.5, 1\n", "# These lists will hold the data to plot.\n", "t, M = [], []\n", "\n", "# Draw an empty plot, but preset the plot x- and y-limits.\n", "fig, ax = plt.subplots()\n", "line, = ax.plot([], [])\n", "ax.set_xlim(0, tmax)\n", "ax.set_ylim(-1, 1)\n", "ax.set_xlabel('t /s')\n", "ax.set_ylabel('M (arb. units)')\n", "\n", "def animate(i):\n", " \"\"\"Draw the frame i of the animation.\"\"\"\n", "\n", " global t, M\n", " # Append this time point and its data and set the plotted line data.\n", " _t = i*dt\n", " t.append(_t)\n", " M.append(np.sin(2*np.pi*f*_t) * np.exp(-alpha*_t))\n", " line.set_data(t, M)\n", "\n", "# Interval between frames in ms, total number of frames to use.\n", "interval, nframes = 1000 * dt, int(tmax / dt)\n", "# Animate once (set repeat=False so the animation doesn't loop).\n", "ani = animation.FuncAnimation(fig, animate, frames=nframes, repeat=False,\n", " interval=interval)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import matplotlib.animation as animation\n", "\n", "# Time step for the animation (s), max time to animate for (s).\n", "dt, tmax = 0.01, 5\n", "# Signal frequency (s-1), decay constant (s-1).\n", "f, alpha = 2.5, 1\n", "# These lists will hold the data to plot.\n", "t, M = [], []\n", "\n", "# Draw an empty plot, but preset the plot x- and y-limits.\n", "fig, ax = plt.subplots()\n", "line, = ax.plot([], [])\n", "ax.set_xlim(0, tmax)\n", "ax.set_ylim(-1, 1)\n", "ax.set_xlabel('t /s')\n", "ax.set_ylabel('M (arb. units)')\n", "\n", "def init():\n", " return line,\n", "\n", "def animate(i, t, M):\n", " \"\"\"Draw the frame i of the animation.\"\"\"\n", "\n", " # Append this time point and its data and set the plotted line data.\n", " _t = i*dt\n", " t.append(_t)\n", " M.append(np.sin(2*np.pi*f*_t) * np.exp(-alpha*_t))\n", " line.set_data(t, M)\n", " return line,\n", "\n", "# Interval between frames in ms, total number of frames to use.\n", "interval, nframes = 1000 * dt, int(tmax / dt)\n", "# Animate once (set repeat=False so the animation doesn't loop).\n", "ani = animation.FuncAnimation(fig, animate, frames=nframes, init_func=init,\n", " fargs=(t, M), repeat=False, interval=interval, blit=True)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as plt\n", "import matplotlib.animation as animation\n", "\n", "# Acceleration due to gravity, m.s-2.\n", "g = 9.81\n", "# The maximum x-range of ball's trajectory to plot.\n", "XMAX = 5\n", "# The coefficient of restitution for bounces (-v_up/v_down).\n", "cor = 0.65\n", "# The time step for the animation.\n", "dt = 0.005\n", "\n", "# Initial position and velocity vectors.\n", "x0, y0 = 0, 4\n", "vx0, vy0 = 1, 0\n", "\n", "def get_pos(t=0):\n", " \"\"\"A generator yielding the ball's position at time t.\"\"\"\n", " x, y, vx, vy = x0, y0, vx0, vy0\n", " while x < XMAX:\n", " t += dt\n", " x += vx0 * dt\n", " y += vy * dt\n", " vy -= g * dt\n", " if y < 0:\n", " # bounce!\n", " y = 0\n", " vy = -vy * cor \n", " yield x, y\n", "\n", "def init():\n", " \"\"\"Initialize the animation figure.\"\"\"\n", " ax.set_xlim(0, XMAX)\n", " ax.set_ylim(0, y0)\n", " ax.set_xlabel('$x$ /m')\n", " ax.set_ylabel('$y$ /m')\n", " line.set_data(xdata, ydata)\n", " ball.set_center((x0, y0))\n", " height_text.set_text(f'Height: {y0:.1f} m')\n", " return line, ball, height_text\n", "\n", "def animate(pos):\n", " \"\"\"For each frame, advance the animation to the new position, pos.\"\"\"\n", " x, y = pos\n", " xdata.append(x)\n", " ydata.append(y)\n", " line.set_data(xdata, ydata)\n", " ball.set_center((x, y))\n", " height_text.set_text(f'Height: {y:.1f} m')\n", " return line, ball, height_text\n", "\n", "# Set up a new Figure, with equal aspect ratio so the ball appears round.\n", "fig, ax = plt.subplots()\n", "ax.set_aspect('equal')\n", "\n", "# These are the objects we need to keep track of.\n", "line, = ax.plot([], [], lw=2)\n", "ball = plt.Circle((x0, y0), 0.08)\n", "height_text = ax.text(XMAX*0.5, y0*0.8, f'Height: {y0:.1f} m')\n", "ax.add_patch(ball)\n", "xdata, ydata = [], []\n", "\n", "interval = 1000*dt\n", "ani = animation.FuncAnimation(fig, animate, get_pos, blit=True,\n", " interval=interval, repeat=False, init_func=init)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "anaconda-cloud": {}, "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.11.2" } }, "nbformat": 4, "nbformat_minor": 4 }